GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm2s62mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm2s62mx.tom,v 4.2 2001/07/05 06:51:49 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains table of marks of maximal subgroups of the ATLAS group
## $2.S6(2)$.
##
#H tomlib history
#H --------------
#H $Log: tm2s62mx.tom,v $
#H Revision 4.2 2001/07/05 06:51:49 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/tm2s62mx.tom,v
#H Working file: tm2s62mx.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 11:19:05; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:32:17; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tm2s62mx_tom :=
"@(#)$Id: tm2s62mx.tom,v 4.2 2001/07/05 06:51:49 gap Exp $";
SetActualLibFileName("tm2s62mx");
LIBTOM( "2.2^6.L3(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,3,9],[1,2,10],[1,2,4,
11],[1,3,12],[1,3,13],[1,3,14],[1,3,15],[1,2,16],[1,2,5,17],[1,3,4,18],[1,3,5,
19],[1,3,20],[1,3,6,21],[1,3,6,22],[1,2,6,23],[1,4,24],[1,5,25],[1,5,26],[1,6,
27],[1,3,6,28],[1,5,29],[1,5,6,30],[1,4,5,6,31],[1,2,7,32],[1,6,7,33],[1,6,7,
34],[1,5,7,35],[1,6,7,36],[1,3,7,37],[1,4,7,38],[1,39],[1,2,10,40],[1,2,3,9,
12,41],[1,3,12,42],[1,3,14,43],[1,2,3,8,9,10,44],[1,2,3,9,10,45],[1,2,8,10,
46],[1,2,10,47],[1,2,3,4,8,9,11,48],[1,2,3,9,15,49],[1,2,3,5,9,17,19,50],[1,2,
3,9,16,51],[1,3,13,14,52],[1,2,4,10,11,53],[1,2,3,4,9,11,18,54],[1,2,4,8,11,
55],[1,2,3,9,13,14,56],[1,2,4,11,24,57],[1,2,5,17,25,58],[1,3,4,12,18,59],[1,
2,5,17,26,60],[1,2,16,61],[1,2,16,62],[1,3,15,63],[1,4,24,64],[1,2,4,10,11,
65],[1,2,4,8,10,11,66],[1,2,10,67],[1,3,12,14,15,68],[1,3,6,14,21,69],[1,3,12,
13,15,70],[1,2,3,9,20,71],[1,2,6,8,23,72],[1,3,6,13,21,73],[1,2,6,10,23,74],[
1,2,5,10,16,17,75],[1,2,5,8,16,17,76],[1,2,3,6,9,21,22,23,77],[1,2,10,78],[1,
2,3,4,9,10,11,79],[1,2,5,10,17,80],[1,2,10,16,81],[1,2,4,10,11,82],[1,3,4,18,
24,83],[1,3,6,22,27,84],[1,2,6,23,27,85],[1,3,5,19,26,86],[1,3,20,87],[1,3,6,
21,27,88],[1,3,6,14,20,22,89],[1,3,6,13,15,21,90],[1,2,6,10,16,23,91],[1,3,5,
6,13,19,22,92],[1,3,5,14,19,20,93],[1,3,6,12,13,21,94],[1,3,6,13,20,22,95],[1,
3,6,12,21,28,96],[1,3,6,14,15,21,97],[1,3,6,12,14,21,98],[1,2,5,6,17,23,30,
99],[1,3,5,13,19,20,100],[1,3,4,13,18,20,101],[1,3,5,6,14,19,22,102],[1,3,6,
12,22,28,103],[1,3,4,6,14,18,22,104],[1,3,15,105],[1,3,4,6,13,18,22,106],[1,3,
15,20,107],[1,3,4,5,13,18,19,108],[1,2,6,10,23,109],[1,3,6,15,21,110],[1,3,4,
14,18,20,111],[1,2,6,8,16,23,112],[1,2,3,5,9,16,17,113],[1,2,3,6,9,23,28,
114],[1,3,4,5,14,18,19,115],[1,2,5,6,8,17,23,116],[1,2,5,16,17,117],[1,2,6,16,
23,118],[1,2,10,119],[1,3,15,120],[1,2,5,16,17,121],[1,3,5,15,19,122],[1,2,5,
6,10,17,23,123],[1,3,6,15,28,124],[1,3,6,13,28,125],[1,3,4,5,18,19,20,126],[1,
3,5,12,19,20,127],[1,3,6,12,15,21,128],[1,3,5,6,19,20,22,129],[1,2,4,5,6,11,
17,23,31,130],[1,3,4,6,18,20,22,131],[1,3,6,20,21,22,132],[1,3,4,5,6,18,19,22,
31,133],[1,3,6,15,28,134],[1,3,5,6,19,21,22,30,135],[1,2,16,136],[1,3,4,5,6,
18,19,21,31,137],[1,3,6,14,28,138],[1,2,5,17,29,139],[1,3,14,140],[1,3,4,6,15,
18,22,141],[1,2,4,6,11,16,23,142],[1,3,4,6,18,20,21,143],[1,2,5,6,16,17,23,
144],[1,5,6,25,29,30,145],[1,5,25,26,29,146],[1,3,7,12,147],[1,4,7,24,148],[1,
5,7,25,149],[1,5,7,26,150],[1,2,3,7,9,32,37,151],[1,2,6,7,23,32,36,152],[1,6,
7,27,153],[1,2,6,7,23,32,33,34,154],[1,2,4,7,11,32,38,155],[1,2,5,7,17,32,35,
156],[1,2,7,16,32,157],[1,2,7,8,32,158],[1,4,5,6,7,31,33,35,38,159],[1,4,5,6,
7,31,34,35,38,160],[1,3,6,7,28,33,36,37,161],[1,3,6,7,28,34,36,37,162],[1,2,
39,163],[1,2,3,9,12,41,42,164],[1,2,3,8,9,10,40,44,46,165],[1,2,3,8,9,10,12,
41,44,45,166],[1,2,3,9,10,45,47,167],[1,2,3,4,9,11,12,18,41,54,59,168],[1,2,4,
11,24,57,64,169],[1,2,3,9,13,14,43,52,56,170],[1,2,3,9,15,49,63,171],[1,2,3,4,
9,11,18,24,54,57,83,172],[1,2,3,5,9,17,19,26,50,60,86,173],[1,2,3,9,16,51,61,
174],[1,2,3,9,10,13,14,45,56,175],[1,2,3,9,10,16,45,51,81,176],[1,2,3,4,9,10,
11,18,45,54,82,177],[1,2,3,5,9,10,17,19,45,50,80,178],[1,2,3,9,10,15,45,49,
179],[1,2,3,4,8,9,10,11,18,44,53,54,55,180],[1,2,3,6,9,21,22,23,27,77,84,85,
88,181],[1,2,3,9,20,71,87,182],[1,2,4,10,11,40,47,65,183],[1,2,4,8,10,11,40,
66,82,184],[1,3,12,14,15,68,185],[1,2,4,8,10,11,47,53,66,186],[1,2,4,8,10,11,
46,47,66,187],[1,2,3,5,9,17,19,20,50,71,188],[1,2,3,9,13,14,16,51,56,189],[1,
2,3,9,15,20,49,71,107,190],[1,2,3,9,10,45,67,191],[1,2,3,9,13,14,16,51,56,
192],[1,2,3,5,8,9,10,16,17,19,44,50,51,75,76,193],[1,2,3,4,9,10,11,40,45,53,
65,79,194],[1,2,3,6,9,16,21,22,23,51,77,118,195],[1,2,3,9,16,20,51,71,196],[1,
2,3,6,9,15,21,22,23,49,77,110,197],[1,2,3,8,9,10,20,44,71,198],[1,2,3,4,8,9,
10,11,12,18,41,44,48,54,79,199],[1,2,3,5,6,9,17,19,21,22,23,30,50,77,99,135,
200],[1,2,3,4,8,9,10,11,45,46,48,53,66,201],[1,2,3,6,9,10,21,22,23,45,77,109,
202],[1,2,3,9,10,45,78,203],[1,2,3,9,10,20,45,71,204],[1,2,3,5,9,15,17,19,49,
50,122,205],[1,2,3,9,12,13,14,15,41,49,56,68,70,206],[1,2,3,6,9,12,21,22,23,
28,41,77,96,103,114,207],[1,2,3,8,9,10,13,14,15,44,49,56,208],[1,2,3,9,12,20,
41,71,209],[1,2,3,4,9,10,11,12,18,41,45,54,79,210],[1,2,3,6,9,13,14,21,22,23,
56,69,73,77,211],[1,2,3,5,9,12,16,17,19,41,50,51,113,212],[1,2,3,4,8,9,10,11,
18,44,45,54,65,66,213],[1,2,3,9,13,14,20,56,71,214],[1,2,3,5,9,15,17,19,49,50,
215],[1,2,3,6,8,9,10,21,22,23,44,72,74,77,216],[1,2,4,8,10,11,24,57,65,66,
217],[1,2,5,8,16,17,25,58,76,121,218],[1,2,5,8,16,17,62,76,117,219],[1,2,3,8,
9,10,13,14,20,44,56,71,220],[1,2,3,8,9,10,44,67,78,221],[1,2,3,4,9,10,11,45,
47,65,79,82,222],[1,2,3,5,9,12,17,19,20,41,50,71,127,223],[1,3,6,12,14,15,21,
43,68,69,97,98,224],[1,2,4,10,11,24,53,57,65,82,225],[1,2,5,10,16,17,67,75,
226],[1,2,3,5,6,8,9,10,17,19,21,22,23,44,50,77,116,123,227],[1,2,3,5,6,9,13,
14,17,19,21,22,23,50,56,77,92,102,228],[1,2,3,6,9,16,20,21,22,23,51,71,77,
229],[1,2,3,6,9,12,15,21,22,23,41,49,77,128,230],[1,2,3,5,9,10,16,17,45,75,80,
81,113,231],[1,2,3,6,8,9,10,16,21,22,23,44,51,77,91,112,232],[1,2,3,4,8,9,10,
11,44,47,66,79,82,233],[1,2,3,6,9,13,14,15,21,22,23,49,56,77,90,97,234],[1,2,
4,10,11,16,53,67,81,235],[1,2,3,4,6,9,11,16,18,21,22,23,51,54,77,142,236],[1,
2,3,6,9,20,21,22,23,71,77,132,237],[1,2,3,4,6,9,11,18,20,21,22,23,54,71,77,
131,238],[1,2,3,8,9,10,44,119,239],[1,2,3,4,9,11,13,14,18,20,54,56,71,101,111,
240],[1,2,3,6,9,15,20,21,22,23,49,71,77,241],[1,2,3,5,8,9,10,16,17,44,76,80,
81,113,242],[1,2,3,4,5,9,11,17,18,19,20,50,54,71,126,243],[1,2,3,8,9,10,15,20,
44,49,71,244],[1,2,3,9,12,16,20,41,51,71,245],[1,2,3,4,9,11,16,18,20,51,54,71,
246],[1,2,3,6,9,20,21,22,23,71,77,247],[1,2,3,6,9,12,13,14,21,22,23,41,56,77,
94,98,248],[1,2,3,6,9,10,20,21,22,23,45,71,77,249],[1,2,3,6,9,10,20,21,22,23,
45,71,77,250],[1,2,3,4,9,11,15,16,18,49,51,54,251],[1,2,3,5,9,16,17,19,20,50,
51,71,252],[1,2,3,4,9,11,15,18,20,49,54,71,253],[1,2,3,5,9,10,15,17,19,45,49,
50,254],[1,2,10,16,40,67,81,255],[1,2,3,9,10,45,119,256],[1,2,5,6,10,16,17,23,
40,74,75,91,123,257],[1,2,5,6,8,10,16,17,23,46,74,75,112,116,258],[1,3,6,12,
13,14,15,21,52,68,69,90,94,259],[1,2,3,4,5,9,11,13,14,17,18,19,50,54,56,108,
115,260],[1,2,3,5,6,9,16,17,19,21,22,23,50,51,77,144,261],[1,2,3,9,15,16,20,
49,51,71,262],[1,2,5,10,16,17,25,58,75,80,117,263],[1,2,3,4,8,9,10,11,44,46,
48,55,65,66,79,264],[1,2,3,4,5,6,9,11,17,18,19,21,22,23,31,50,54,77,130,133,
137,265],[1,2,3,4,6,9,11,13,14,18,21,22,23,54,56,77,104,106,266],[1,2,3,6,9,
15,16,21,22,23,49,51,77,267],[1,2,3,9,10,45,67,78,268],[1,2,4,10,11,47,53,65,
82,269],[1,2,3,4,6,9,11,15,18,21,22,23,49,54,77,141,270],[1,2,3,6,9,13,14,20,
21,22,23,56,71,77,89,95,271],[1,2,4,10,11,16,53,78,81,272],[1,2,8,10,16,46,78,
81,273],[1,2,5,10,16,17,62,75,81,121,274],[1,2,3,6,8,9,10,23,28,44,72,109,114,
275],[1,2,5,8,10,17,46,67,80,276],[1,2,3,4,6,9,11,18,20,21,22,23,54,71,77,143,
277],[1,2,3,6,9,10,23,28,45,74,109,114,278],[1,2,4,8,10,11,46,55,65,66,82,
279],[1,2,3,5,6,9,17,19,20,21,22,23,50,71,77,129,280],[1,3,12,13,14,15,68,70,
281],[1,2,4,5,10,11,17,53,78,80,282],[1,2,3,5,9,13,14,17,19,20,50,56,71,93,
100,283],[1,2,5,10,16,17,75,78,284],[1,2,3,9,10,13,14,16,45,51,56,285],[1,2,3,
9,13,14,15,20,49,56,71,286],[1,2,5,10,17,40,78,80,287],[1,3,12,14,15,68,105,
288],[1,3,12,14,15,68,120,289],[1,2,4,5,10,11,17,53,67,80,290],[1,2,4,8,10,11,
24,53,55,57,66,82,291],[1,2,3,9,10,45,119,292],[1,2,4,5,6,8,11,16,17,23,31,55,
72,76,130,142,293],[1,2,3,5,9,16,17,19,25,50,58,113,117,121,294],[1,2,4,8,10,
11,66,67,119,295],[1,2,4,8,10,11,66,78,119,296],[1,2,4,5,6,8,10,11,17,23,31,
66,80,109,116,130,297],[1,2,6,10,16,23,74,78,81,298],[1,3,5,12,13,15,19,20,70,
100,107,122,127,299],[1,2,3,9,16,51,136,300],[1,3,6,12,13,15,21,28,42,70,94,
96,128,301],[1,2,3,6,9,15,23,28,49,114,124,134,302],[1,2,3,5,9,16,17,51,62,
113,117,121,303],[1,3,5,12,14,15,19,20,68,93,107,122,127,304],[1,3,6,12,13,15,
21,28,70,96,125,134,305],[1,3,4,5,6,13,14,18,19,20,22,52,92,93,95,101,104,108,
306],[1,3,4,6,12,13,15,18,22,28,59,70,103,106,141,307],[1,3,4,5,6,14,18,19,20,
22,43,89,93,102,104,111,115,308],[1,2,5,10,16,17,29,75,139,309],[1,2,3,4,8,9,
10,11,18,24,48,54,55,57,66,79,82,310],[1,3,4,5,6,13,14,18,19,20,22,52,95,100,
102,106,108,111,311],[1,3,12,14,15,68,140,312],[1,2,5,6,10,17,23,74,78,80,
313],[1,3,4,5,6,13,14,18,19,20,22,52,89,92,100,101,106,115,314],[1,2,5,10,16,
17,67,75,78,315],[1,3,6,12,14,15,21,28,42,68,96,98,128,316],[1,2,6,10,23,40,
109,119,317],[1,3,6,12,13,14,15,21,52,70,73,90,94,97,98,318],[1,2,3,5,9,17,19,
29,50,139,319],[1,2,3,9,13,14,56,140,320],[1,3,6,12,14,15,21,63,68,97,110,128,
321],[1,2,4,10,11,65,78,119,322],[1,2,5,6,10,16,17,23,61,75,91,118,144,323],[
1,2,4,5,10,11,17,80,82,119,324],[1,2,5,6,10,16,17,23,26,30,60,75,99,123,144,
325],[1,2,5,6,8,16,17,23,26,30,60,76,99,116,144,326],[1,2,3,6,9,13,14,23,28,
56,114,125,138,327],[1,2,4,6,8,10,11,16,23,66,81,109,112,142,328],[1,2,4,6,10,
11,16,23,65,81,91,109,142,329],[1,3,6,12,13,15,22,28,70,103,124,125,330],[1,2,
3,9,15,49,105,120,331],[1,2,4,5,6,10,11,16,17,23,31,53,74,75,130,142,332],[1,
2,4,10,11,65,67,119,333],[1,2,4,5,6,10,11,17,23,31,65,80,109,123,130,334],[1,
2,5,6,8,16,17,23,61,76,112,118,144,335],[1,2,5,8,16,17,29,76,139,336],[1,3,6,
12,14,15,21,28,68,96,124,138,337],[1,2,4,10,11,16,81,82,119,338],[1,2,5,8,16,
17,76,136,339],[1,2,5,10,16,17,75,80,81,117,121,340],[1,3,6,12,13,15,21,63,70,
90,110,128,341],[1,3,12,13,15,70,105,120,342],[1,2,5,10,16,17,75,136,343],[1,
2,6,8,10,23,46,109,119,344],[1,2,4,6,10,11,23,78,82,109,345],[1,2,4,6,10,11,
23,53,109,119,346],[1,3,12,14,15,68,140,347],[1,2,3,4,9,10,11,18,24,53,54,57,
65,79,82,348],[1,2,6,10,23,47,78,109,349],[1,2,5,10,17,47,80,119,350],[1,2,6,
10,16,23,67,74,81,351],[1,2,5,6,10,17,23,67,74,80,352],[1,2,6,10,23,47,67,109,
353],[1,2,10,16,47,81,119,354],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,141,
355],[1,2,4,6,10,11,23,53,109,119,356],[1,2,5,6,8,10,16,17,23,46,72,76,91,112,
116,123,357],[1,3,6,12,14,15,22,28,68,103,134,138,358],[1,2,4,6,10,11,23,67,
82,109,359],[1,3,5,6,15,19,28,105,122,134,360],[1,3,4,5,6,14,18,19,20,21,22,
30,31,69,93,104,132,135,137,143,361],[1,3,4,5,6,14,18,19,20,22,87,89,93,111,
126,129,131,362],[1,3,4,5,6,13,18,19,20,22,26,31,86,92,100,108,126,129,133,
363],[1,3,6,15,28,63,120,124,364],[1,3,4,5,6,13,18,19,20,22,27,31,84,92,95,
106,129,131,133,365],[1,3,6,14,28,43,138,140,366],[1,3,6,15,20,28,105,107,134,
367],[1,3,4,5,6,13,18,19,20,22,87,95,100,101,126,129,131,368],[1,3,6,12,13,15,
21,27,28,73,88,90,94,96,110,128,369],[1,2,3,4,5,6,8,9,11,16,17,23,28,31,48,
112,113,114,116,130,142,370],[1,3,5,6,12,14,19,20,21,22,28,30,89,98,102,103,
127,132,135,371],[1,3,4,5,6,14,18,19,20,22,27,31,84,89,102,104,129,131,133,
372],[1,3,4,5,6,14,18,19,20,22,26,31,86,93,102,115,126,129,133,373],[1,3,4,5,
6,13,15,18,19,21,22,30,31,90,92,108,122,135,137,141,374],[1,3,4,5,6,13,18,19,
20,21,22,30,31,73,100,106,132,135,137,143,375],[1,3,6,15,21,28,110,120,124,
376],[1,3,4,5,6,14,15,18,19,21,22,30,31,97,102,115,122,135,137,141,377],[1,3,
4,6,14,15,18,20,21,22,89,97,107,111,132,141,143,378],[1,2,5,6,8,16,17,23,27,
30,72,85,99,112,116,118,144,379],[1,3,4,5,6,13,18,19,20,22,24,31,83,101,106,
108,126,131,133,380],[1,3,6,15,21,28,105,110,124,381],[1,2,5,6,17,23,25,29,30,
58,99,139,145,382],[1,2,5,17,25,26,29,58,60,139,146,383],[1,2,5,16,17,26,29,
60,121,139,384],[1,3,4,5,6,14,18,19,20,22,24,31,83,104,111,115,126,131,133,
385],[1,2,5,16,17,61,117,136,386],[1,3,4,5,6,12,13,18,19,20,21,31,59,94,101,
108,127,137,143,387],[1,2,3,4,5,6,9,10,11,16,17,23,28,31,79,91,113,114,123,
130,142,388],[1,3,6,15,20,28,107,120,134,389],[1,3,5,6,15,19,28,120,122,134,
390],[1,3,6,14,21,28,69,138,140,391],[1,2,6,16,23,62,118,136,392],[1,2,16,61,
62,136,393],[1,3,6,15,28,63,105,124,394],[1,3,4,5,6,12,14,18,19,20,21,31,59,
98,111,115,127,137,143,395],[1,2,5,6,16,17,23,29,30,99,121,139,396],[1,3,4,6,
13,15,18,20,21,22,90,95,101,107,132,141,143,397],[1,3,6,13,14,28,52,138,140,
398],[1,2,5,6,10,16,17,23,27,30,74,85,91,99,118,123,144,399],[1,3,5,6,12,13,
19,20,21,22,28,30,92,94,95,103,127,132,135,400],[1,3,6,12,14,15,21,27,28,69,
88,96,97,98,110,128,401],[1,3,6,14,21,28,69,138,140,402],[1,2,5,6,16,17,23,
117,118,136,403],[1,7,39,404],[1,3,6,7,12,14,21,33,98,147,405],[1,3,6,7,12,13,
21,34,94,147,406],[1,2,7,10,32,47,407],[1,2,3,7,9,12,32,41,147,408],[1,2,7,10,
32,40,409],[1,2,4,7,11,24,32,57,148,410],[1,3,4,7,12,18,38,59,147,411],[1,3,5,
7,12,19,20,35,127,147,412],[1,2,5,7,17,26,32,60,150,413],[1,2,7,16,32,62,
414],[1,3,7,12,37,42,147,415],[1,2,5,7,17,25,32,58,149,416],[1,2,7,16,32,61,
417],[1,3,7,14,37,43,418],[1,3,6,7,12,15,21,36,128,147,419],[1,3,7,15,37,63,
420],[1,3,7,20,37,87,421],[1,5,7,25,26,29,35,146,149,422],[1,5,7,25,26,29,35,
146,150,423],[1,3,6,7,22,27,37,84,153,424],[1,2,5,6,7,8,17,23,32,35,36,116,
152,156,158,425],[1,2,6,7,8,16,23,32,33,34,112,154,157,158,426],[1,3,4,7,18,
24,37,83,148,427],[1,2,6,7,23,27,32,85,153,428],[1,2,3,5,7,9,16,17,32,35,37,
113,151,156,157,429],[1,5,6,7,25,29,30,36,145,149,430],[1,4,7,24,38,64,148,
431],[1,3,6,7,21,27,37,88,153,432],[1,3,5,7,19,26,37,86,150,433],[1,2,4,5,6,7,
11,17,23,31,32,33,34,35,38,130,154,155,156,159,160,434],[1,2,3,4,7,8,9,11,32,
37,38,48,151,155,158,435],[1,2,4,6,7,11,16,23,32,36,38,142,152,155,157,436],[
1,2,3,6,7,9,23,28,32,33,34,36,37,114,151,152,154,161,162,437],[1,2,3,4,8,9,10,
11,45,46,47,48,53,66,167,186,187,201,438],[1,2,3,4,8,9,10,11,12,18,41,42,44,
45,48,54,59,79,164,166,168,199,210,439],[1,2,3,9,10,45,47,67,167,191,440],[1,
2,3,4,8,9,10,11,12,18,41,44,45,47,54,65,66,79,82,166,167,177,210,213,222,233,
441],[1,2,3,4,9,10,11,40,45,47,53,65,79,82,167,183,194,222,269,442],[1,2,3,6,
8,9,10,12,21,22,23,28,41,44,45,72,74,77,96,103,109,114,166,202,207,216,275,
278,443],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,75,76,80,81,113,166,176,
178,193,212,231,242,444],[1,2,3,8,9,10,12,13,14,15,41,44,45,49,56,68,70,166,
175,179,206,208,445],[1,2,3,9,10,13,14,16,45,47,51,56,81,167,175,176,285,
446],[1,2,3,4,5,9,10,11,13,14,17,18,19,45,50,54,56,80,82,108,115,175,177,178,
260,447],[1,2,3,8,9,10,12,20,41,44,45,71,166,198,204,209,448],[1,2,3,4,8,9,10,
11,12,18,40,41,44,45,46,48,53,54,55,65,66,79,165,166,180,194,199,201,213,264,
449],[1,2,3,5,9,10,15,17,19,45,47,49,50,80,167,178,179,254,450],[1,2,3,4,9,10,
11,15,16,18,45,49,51,54,81,82,176,177,179,251,451],[1,2,3,9,10,45,47,78,167,
203,452],[1,2,3,4,9,10,11,12,18,24,40,41,45,47,53,54,57,65,79,82,194,210,222,
348,453],[1,2,3,4,8,9,10,11,40,44,46,47,48,55,65,66,79,82,165,183,184,187,233,
264,279,454],[1,2,3,9,12,13,14,15,41,49,56,68,70,185,206,281,455],[1,2,3,5,9,
12,16,17,19,25,41,50,51,58,62,113,117,121,212,294,303,456],[1,2,3,5,9,10,15,
17,19,26,45,49,50,60,80,86,122,173,178,205,215,254,457],[1,2,3,4,8,9,10,11,16,
45,46,48,51,53,66,78,81,176,201,203,272,273,458],[1,2,3,4,8,9,10,11,13,14,15,
18,20,44,49,53,54,55,56,71,101,111,180,198,208,240,253,459],[1,2,3,4,6,9,11,
12,13,14,15,18,21,22,23,28,41,49,54,56,59,68,70,77,96,103,104,106,114,141,168,
206,207,266,270,307,355,460],[1,2,3,6,9,10,15,23,28,45,49,74,109,114,124,134,
179,278,302,461],[1,2,3,4,9,10,11,13,14,40,45,53,56,65,67,79,175,191,194,
462],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,40,44,46,50,51,72,74,75,76,77,91,112,
116,123,165,193,216,227,232,257,258,357,463],[1,2,3,4,5,9,10,11,12,17,18,19,
20,41,45,50,54,71,79,80,126,127,178,204,210,223,243,464],[1,2,3,4,8,9,10,11,
18,24,40,45,46,48,53,54,55,57,65,66,79,82,177,184,194,201,225,279,291,310,
465],[1,2,3,4,9,10,11,18,45,54,67,78,82,177,191,203,466],[1,2,3,5,8,9,10,15,
16,17,19,20,44,49,50,51,71,75,76,188,193,215,244,262,467],[1,2,3,4,5,9,11,12,
16,17,18,19,20,41,50,51,54,59,71,113,126,168,209,212,243,246,468],[1,2,3,5,9,
12,13,14,15,17,19,20,41,49,50,56,68,70,71,93,100,107,122,127,190,205,206,223,
283,299,304,469],[1,2,3,4,8,9,10,11,12,18,24,41,44,45,48,53,54,55,57,59,65,66,
79,82,83,168,172,177,180,199,210,213,310,348,470],[1,2,3,4,5,6,8,9,10,11,17,
18,19,21,22,23,31,44,45,50,54,65,66,77,80,109,116,123,130,133,137,178,202,213,
227,265,297,334,471],[1,2,3,4,8,9,10,11,15,18,20,44,45,49,54,65,66,71,179,204,
213,244,253,472],[1,2,3,4,9,10,11,16,40,45,51,53,65,67,79,81,176,191,194,235,
255,473],[1,2,3,8,9,10,12,41,44,45,119,166,239,256,292,474],[1,2,3,8,9,10,12,
41,44,45,67,78,166,191,203,221,268,475],[1,2,3,9,10,13,14,45,56,67,78,175,268,
476],[1,2,3,4,9,10,11,18,45,54,82,119,177,256,477],[1,2,3,4,6,9,10,11,12,13,
14,18,21,22,23,41,45,54,56,77,79,94,98,104,106,109,175,202,210,248,266,478],[
1,2,3,5,9,10,16,17,45,51,62,75,80,81,113,117,121,176,231,274,303,340,479],[1,
2,3,4,5,8,9,10,11,17,19,45,46,48,50,53,66,67,80,178,191,201,276,290,480],[1,2,
3,8,9,10,13,14,15,20,43,44,49,52,56,71,170,208,214,220,286,481],[1,2,3,9,10,
13,14,16,45,51,56,61,81,174,176,189,192,285,482],[1,2,3,4,6,8,9,10,11,16,18,
21,22,23,44,45,51,54,65,66,77,81,91,109,112,142,176,202,213,232,236,328,329,
483],[1,2,3,6,9,10,13,14,23,28,45,56,74,109,114,125,138,175,278,327,484],[1,2,
3,5,9,12,16,17,19,20,26,41,50,51,60,71,86,113,127,173,188,212,223,252,485],[1,
2,3,4,9,10,11,12,16,18,20,41,45,51,54,71,79,81,176,204,210,245,246,486],[1,2,
3,6,9,10,20,21,22,23,45,47,71,77,109,167,202,204,249,250,487],[1,2,3,4,8,9,10,
11,13,14,18,20,44,45,54,56,65,66,71,101,111,175,204,213,220,240,488],[1,2,3,5,
9,12,16,17,19,20,41,50,51,61,71,113,174,196,212,245,252,489],[1,2,3,9,10,16,
45,51,81,119,176,292,490],[1,2,3,4,6,9,10,11,18,20,21,22,23,45,54,71,77,82,
109,131,143,177,202,204,238,277,491],[1,2,3,6,9,12,13,14,15,21,22,23,41,43,49,
52,56,68,69,70,73,77,90,94,97,98,170,206,211,224,234,248,259,318,492],[1,2,3,
8,9,10,13,14,15,20,44,49,56,63,71,107,171,190,208,244,286,493],[1,2,3,9,12,13,
14,15,16,20,41,49,51,56,68,70,71,192,206,214,245,262,494],[1,2,3,9,10,15,45,
49,67,78,179,268,495],[1,2,3,5,8,9,10,13,14,16,17,19,20,44,50,51,56,71,75,76,
93,100,189,193,196,220,283,496],[1,2,3,4,9,10,11,18,24,45,47,53,54,57,65,79,
82,177,222,225,269,348,497],[1,2,3,4,6,9,10,11,12,15,18,21,22,23,41,45,49,54,
77,79,109,128,141,179,202,210,230,270,498],[1,2,3,6,9,10,16,20,21,22,23,45,51,
71,77,81,118,176,195,196,229,249,499],[1,2,3,6,9,10,15,20,21,22,23,45,49,71,
77,107,110,179,190,197,241,250,500],[1,2,3,5,6,8,9,10,13,14,15,17,19,21,22,23,
44,49,50,56,77,92,102,110,116,122,123,197,205,208,227,228,501],[1,2,3,6,9,10,
13,14,20,21,22,23,45,56,69,71,73,77,89,95,175,211,214,249,271,502],[1,2,3,6,9,
12,13,14,15,21,22,23,28,41,42,49,56,68,70,77,94,96,98,103,114,128,164,206,207,
230,248,301,316,503],[1,2,3,6,8,9,10,13,14,15,16,21,22,23,44,49,51,56,69,73,
77,91,112,192,208,211,232,267,504],[1,2,3,5,9,12,16,17,19,20,41,42,50,51,71,
113,127,164,209,212,223,245,505],[1,2,3,8,9,10,13,14,15,20,40,44,46,49,56,71,
165,198,208,220,244,506],[1,2,3,5,9,10,15,17,19,45,49,50,63,122,171,179,205,
215,254,507],[1,2,3,4,5,9,10,11,17,19,40,45,50,53,65,78,79,80,178,194,203,282,
287,508],[1,2,3,5,9,10,17,19,45,50,80,119,178,292,509],[1,2,3,4,8,9,10,11,13,
14,45,46,48,53,56,66,78,175,201,203,510],[1,2,3,9,10,13,14,16,43,45,51,52,56,
170,175,189,192,285,511],[1,2,3,4,5,6,8,9,10,11,16,17,18,19,21,22,23,31,44,50,
51,53,54,55,72,74,75,76,77,130,133,137,142,180,193,216,236,265,293,332,512],[
1,2,3,5,6,8,9,10,16,17,19,21,22,23,26,30,44,50,51,60,75,76,77,86,99,116,123,
135,144,173,193,200,227,261,325,326,513],[1,2,3,5,6,9,12,15,16,17,19,21,22,23,
30,41,49,50,51,77,99,113,128,135,200,212,215,230,267,514],[1,2,3,9,10,45,47,
119,167,256,515],[1,2,3,5,6,9,10,17,19,20,21,22,23,30,45,50,71,77,80,99,129,
135,178,188,200,250,280,516],[1,2,3,4,9,10,11,15,40,45,49,53,65,78,79,179,194,
203,517],[1,2,3,5,6,9,12,13,14,16,17,19,21,22,23,41,50,51,56,77,92,94,98,102,
113,118,189,195,212,228,248,518],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,44,50,51,
61,75,76,77,91,112,118,144,174,193,195,232,261,323,335,519],[1,2,3,6,9,12,13,
14,15,21,22,23,41,49,56,63,68,70,77,90,97,110,128,171,197,206,230,234,321,341,
520],[1,2,3,4,8,9,10,11,15,45,46,48,49,53,66,67,179,191,201,521],[1,2,3,5,9,
10,16,17,19,25,45,50,58,75,80,81,113,117,121,178,231,263,294,340,522],[1,2,3,
4,8,9,10,11,18,24,48,53,54,55,57,64,65,66,79,82,83,169,172,217,225,291,310,
348,523],[1,3,6,12,14,15,21,28,42,68,96,98,124,128,138,185,316,337,524],[1,2,
5,6,10,16,17,23,26,27,30,40,60,61,74,75,85,91,99,118,123,144,257,323,325,399,
525],[1,3,6,12,14,15,21,27,28,42,43,63,68,69,88,96,97,98,110,128,224,316,321,
401,526],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,134,138,141,185,355,358,
527],[1,2,3,4,5,9,11,15,16,17,18,19,20,49,50,51,54,71,107,126,190,215,243,251,
252,253,262,528],[1,2,3,5,6,8,9,10,15,16,17,19,20,21,22,23,44,49,50,51,71,75,
76,77,116,122,123,129,193,205,227,244,252,267,280,529],[1,2,3,5,6,9,10,13,14,
15,16,17,19,21,22,23,45,49,50,51,56,77,90,92,97,102,109,144,202,228,234,254,
261,267,285,530],[1,2,3,5,6,9,12,13,14,17,19,20,21,22,23,41,50,56,71,77,93,94,
98,100,127,129,209,214,223,247,248,280,283,531],[1,2,3,4,6,9,11,15,16,18,20,
21,22,23,49,51,54,71,77,110,118,131,132,141,142,195,197,236,237,238,262,270,
532],[1,2,3,5,6,9,10,16,17,23,28,45,67,74,75,80,81,109,113,114,191,231,278,
351,352,533],[1,2,3,4,6,8,9,10,11,12,15,16,18,20,21,22,23,41,44,48,49,51,54,
71,77,79,91,112,128,143,199,230,232,244,245,251,277,534],[1,2,3,5,6,9,10,15,
17,19,20,21,22,23,30,45,49,50,71,77,99,109,110,129,135,197,200,202,241,249,
254,280,535],[1,2,3,5,6,9,10,17,19,23,28,45,50,67,74,78,80,109,114,178,268,
278,313,352,536],[1,2,3,5,6,8,9,10,16,17,19,20,21,22,23,44,50,51,71,77,91,112,
116,123,129,132,198,227,229,232,237,252,280,537],[1,2,3,4,5,9,11,13,14,15,17,
18,19,20,49,50,54,56,71,93,100,108,115,122,126,188,205,243,253,260,283,286,
538],[1,2,3,5,6,8,9,10,13,14,17,19,20,21,22,23,44,50,56,71,77,89,93,95,100,
116,123,188,198,220,227,247,271,283,539],[1,2,3,4,6,8,9,10,11,18,20,21,22,23,
44,45,54,65,66,71,72,74,77,131,143,198,213,216,238,249,250,277,540],[1,2,3,6,
8,9,10,13,14,15,23,28,44,49,56,72,109,114,124,125,134,138,208,275,302,327,
541],[1,2,3,5,6,9,12,13,14,17,19,20,21,22,23,28,30,41,50,56,71,77,89,92,94,95,
96,98,99,102,103,114,127,132,135,200,207,223,228,237,248,271,371,400,542],[1,
2,3,5,6,9,12,13,14,15,17,19,20,21,22,23,41,49,50,56,68,70,71,77,92,102,127,
128,206,215,223,228,230,241,286,543],[1,2,3,4,6,9,10,11,12,13,14,16,18,20,21,
22,23,41,45,51,54,56,71,77,79,94,98,101,111,142,210,236,240,245,248,250,285,
544],[1,2,3,6,8,9,10,23,28,40,44,46,72,109,114,119,165,239,275,317,344,545],[
1,2,3,5,6,9,12,15,16,17,19,20,21,22,23,41,49,50,51,71,77,113,122,127,128,129,
144,205,212,223,230,261,262,280,546],[1,2,3,4,5,6,9,11,13,14,16,17,18,19,21,
22,23,50,51,54,56,69,73,77,92,102,104,106,108,115,142,144,189,211,228,236,260,
261,266,547],[1,2,3,4,5,6,9,11,13,14,15,17,18,19,21,22,23,30,31,49,50,54,56,
77,90,92,97,99,102,108,115,122,130,133,135,137,141,200,205,228,234,260,265,
270,374,377,548],[1,2,3,4,5,6,9,11,13,14,17,18,19,20,21,22,23,50,54,56,71,77,
87,89,93,95,100,101,111,126,129,131,182,238,240,243,271,280,283,362,368,549],[
1,2,3,4,6,8,9,10,11,23,28,45,46,48,53,66,74,109,114,119,201,278,292,344,356,
550],[1,2,3,4,5,6,9,11,13,14,16,17,18,19,20,21,22,23,50,51,54,56,71,77,89,95,
108,115,142,144,192,236,246,252,260,261,271,551],[1,2,3,4,5,6,9,11,13,14,17,
18,19,20,21,22,23,27,31,50,54,56,71,77,84,85,88,89,92,95,102,104,106,129,130,
131,133,137,181,228,238,265,266,271,280,365,372,552],[1,2,3,4,6,9,10,11,18,23,
28,45,54,67,74,78,82,109,114,177,268,278,345,359,553],[1,2,3,5,6,9,12,13,14,
16,17,19,20,21,22,23,41,50,51,56,71,77,93,94,98,100,113,144,192,212,229,245,
248,261,283,554],[1,2,3,4,5,6,9,11,15,16,17,18,19,20,21,22,23,31,49,50,51,54,
71,77,122,126,130,133,137,144,205,241,243,251,252,261,265,555],[1,2,3,5,6,8,9,
10,13,14,15,17,19,20,21,22,23,44,49,50,56,71,77,90,93,97,100,116,123,208,215,
227,234,241,244,283,556],[1,2,3,6,9,10,23,28,45,74,78,109,114,119,203,278,292,
557],[1,2,3,6,9,10,23,28,45,47,67,74,78,109,114,167,268,278,349,353,558],[1,2,
3,4,5,6,8,9,10,11,13,14,17,18,19,20,21,22,23,44,50,53,54,55,56,71,77,104,106,
108,115,116,123,126,143,180,220,227,243,260,266,277,559],[1,2,3,4,6,8,9,10,11,
13,14,16,18,20,21,22,23,44,45,51,54,56,65,66,71,77,91,104,106,112,213,220,232,
246,250,266,285,560],[1,2,3,4,6,8,9,10,11,12,13,14,15,18,21,22,23,41,44,48,49,
54,56,72,74,77,79,94,98,104,106,128,141,199,208,216,230,248,266,270,561],[1,2,
3,5,6,9,10,15,17,19,20,21,22,23,45,49,50,71,77,107,129,188,190,204,241,249,
254,280,562],[1,2,3,6,9,12,13,14,15,21,22,23,28,41,49,56,68,70,77,96,103,114,
124,125,134,138,206,207,302,305,327,330,337,358,563],[1,2,3,5,9,12,16,17,19,
29,41,50,51,113,139,212,319,564],[1,2,3,4,6,9,11,13,14,15,18,20,21,22,23,49,
54,56,69,71,73,77,101,111,131,141,211,238,240,241,247,270,286,565],[1,2,3,5,6,
8,9,10,13,14,16,17,19,20,21,22,23,44,50,51,56,71,75,76,77,91,92,102,112,192,
193,220,228,229,232,252,566],[1,2,3,4,5,6,9,10,11,12,15,17,18,19,20,21,22,23,
31,41,45,49,50,54,71,77,79,127,128,130,133,137,210,223,230,249,253,254,265,
567],[1,2,3,5,9,12,16,17,19,20,41,50,51,71,87,127,182,188,196,209,223,245,252,
568],[1,2,3,4,6,9,10,11,21,22,23,45,47,65,77,78,79,82,109,202,203,222,345,349,
569],[1,2,3,5,6,9,10,15,16,17,19,20,21,22,23,45,49,50,51,71,77,81,144,176,250,
252,254,261,262,267,570],[1,2,3,5,8,9,10,16,17,19,25,44,50,51,58,62,75,76,80,
81,113,117,121,193,218,219,242,263,274,294,303,340,571],[1,2,3,5,6,8,9,10,12,
15,17,19,20,21,22,23,41,44,45,49,50,71,77,116,123,127,128,166,223,227,230,244,
250,254,572],[1,2,3,6,9,12,15,16,20,21,22,23,28,41,49,51,71,77,96,103,114,118,
128,132,195,207,230,237,241,245,267,573],[1,2,3,4,5,6,9,11,13,14,17,18,19,20,
21,22,23,43,50,52,54,56,71,77,89,92,93,95,100,101,102,104,106,108,111,115,170,
228,240,260,266,271,283,306,308,311,314,574],[1,2,3,4,5,9,10,11,16,17,40,45,
53,65,67,75,78,79,80,81,113,194,231,255,268,272,287,290,575],[1,2,3,5,6,9,12,
16,17,19,20,21,22,23,28,41,50,51,71,77,96,103,114,127,129,144,207,223,229,245,
247,261,280,576],[1,2,3,4,6,9,10,11,12,18,20,21,22,23,28,41,45,54,71,77,79,96,
103,114,131,143,207,209,210,238,249,250,277,577],[1,2,3,9,10,13,14,45,56,140,
175,320,578],[1,2,3,8,9,10,13,14,15,44,49,56,140,208,320,579],[1,2,3,4,9,10,
11,20,45,47,65,67,71,79,82,191,204,222,580],[1,2,3,4,9,10,11,13,14,45,47,56,
65,79,82,119,175,222,256,581],[1,2,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,21,
22,23,41,44,48,50,54,56,71,77,79,94,98,108,115,116,123,127,131,199,220,223,
227,238,248,260,582],[1,2,3,4,5,6,8,9,10,11,16,17,23,28,31,45,46,48,53,66,74,
75,80,81,109,112,113,114,116,130,142,201,231,258,278,297,328,332,370,583],[1,
2,3,4,5,6,9,11,16,17,18,19,20,21,22,23,50,51,54,71,77,126,129,132,142,143,144,
196,236,237,243,261,277,280,584],[1,2,3,6,9,10,16,23,28,45,51,67,74,78,81,109,
114,176,268,278,298,351,585],[1,2,3,5,9,12,16,17,19,20,41,50,51,71,113,209,
212,586],[1,2,3,5,9,12,16,17,19,41,50,51,113,136,212,300,587],[1,2,3,5,6,9,10,
16,17,23,28,45,74,75,78,80,81,109,113,114,203,231,278,298,313,588],[1,2,3,4,6,
9,10,11,23,28,40,45,53,65,74,79,109,114,119,194,278,292,317,346,589],[1,2,3,4,
5,6,9,11,13,14,15,17,18,19,20,21,22,23,49,50,54,56,71,77,90,97,108,115,129,
141,215,234,253,260,270,280,286,590],[1,2,3,4,5,6,9,11,16,17,18,19,20,21,22,
23,31,50,51,54,71,77,130,131,132,133,137,144,188,229,237,238,246,261,265,
591],[1,2,3,4,8,9,10,11,18,24,40,44,45,47,53,54,57,65,66,79,82,183,184,186,
194,213,217,222,225,233,269,348,592],[1,2,3,4,6,8,9,10,11,21,22,23,45,46,48,
53,66,77,109,119,201,202,256,344,346,593],[1,2,3,4,5,6,9,11,15,16,17,18,19,21,
22,23,31,49,50,51,54,77,110,130,133,137,141,144,197,215,251,261,265,267,270,
594],[1,2,3,6,9,10,23,28,45,67,74,109,114,119,191,278,292,595],[1,2,3,4,6,9,
10,11,13,14,16,18,20,21,22,23,45,51,54,56,71,77,82,101,104,106,111,142,177,
236,240,246,249,266,285,596],[1,2,3,4,6,9,11,13,14,15,18,20,21,22,23,49,54,56,
71,77,90,97,104,106,131,132,214,234,237,238,241,253,266,597],[1,2,3,9,10,15,
45,49,105,120,179,331,598],[1,2,3,4,6,9,11,13,14,15,16,18,21,22,23,49,51,54,
56,77,90,97,104,106,118,142,192,195,234,236,251,266,267,599],[1,2,3,4,9,10,11,
15,45,47,49,65,79,82,119,179,222,256,600],[1,2,3,4,6,9,11,15,16,18,20,21,22,
23,27,49,51,54,71,77,84,85,88,141,142,143,181,229,236,241,267,270,277,601],[1,
2,5,6,10,16,17,23,25,40,58,74,75,78,80,91,117,123,257,263,284,287,313,602],[1,
2,5,6,8,10,16,17,23,46,62,74,75,78,81,112,116,121,258,273,274,284,298,603],[1,
2,3,4,6,9,11,13,14,15,18,20,21,22,23,49,54,56,71,77,89,90,95,97,101,107,111,
132,141,143,190,234,237,240,270,271,277,378,397,604],[1,2,3,4,5,8,9,10,11,12,
16,17,18,19,20,41,44,48,50,51,54,71,75,76,79,126,127,193,198,199,223,243,245,
246,605],[1,2,3,4,9,10,11,12,18,41,45,54,67,79,119,191,210,256,606],[1,2,3,4,
8,9,10,11,12,13,14,15,18,20,41,44,48,49,54,56,68,70,71,79,101,111,199,206,209,
220,240,244,253,607],[1,2,3,4,9,10,11,20,45,47,65,71,78,79,82,203,204,222,
608],[1,2,3,4,5,8,9,10,11,16,17,45,46,48,53,66,67,75,78,80,81,113,201,231,235,
268,273,276,282,609],[1,2,3,4,9,11,13,14,15,16,18,20,49,51,54,56,71,101,111,
192,196,240,246,251,262,286,610],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,49,51,
54,71,77,87,143,182,229,241,246,253,262,277,611],[1,2,3,6,9,12,13,14,15,21,22,
23,27,28,41,49,56,69,73,77,84,85,88,90,94,96,97,98,103,110,114,128,181,197,
207,211,230,234,248,369,401,612],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,24,49,
51,54,57,71,77,83,141,142,143,172,236,246,251,253,270,277,613],[1,2,3,6,8,9,
10,13,14,15,20,21,22,23,44,49,56,71,72,74,77,89,90,95,97,216,220,234,241,244,
247,271,614],[1,2,3,5,9,10,13,14,15,16,17,19,20,45,49,50,51,56,71,93,100,204,
252,254,262,283,285,286,615],[1,2,3,5,9,10,16,17,45,67,75,78,80,81,113,191,
226,231,268,315,616],[1,2,3,6,8,9,10,13,14,15,16,20,21,22,23,44,49,51,56,71,
77,89,90,91,95,97,112,189,208,220,232,234,262,271,617],[1,2,3,5,9,10,16,17,45,
67,75,78,80,81,113,203,231,268,284,315,618],[1,2,3,4,6,9,11,12,15,16,18,20,21,
22,23,41,49,51,54,59,71,77,128,131,142,168,230,236,238,245,251,253,619],[1,2,
3,4,5,6,9,11,13,14,17,18,19,20,21,22,23,50,54,56,71,77,92,101,102,111,126,143,
188,214,228,240,243,247,277,620],[1,2,3,4,6,8,9,10,11,15,16,18,20,21,22,23,44,
49,51,53,54,55,71,77,91,112,131,141,180,232,238,244,246,251,270,621],[1,2,3,4,
9,10,11,40,45,53,65,67,78,79,119,194,268,292,322,333,622],[1,2,3,4,5,6,9,11,
13,14,17,18,19,20,21,22,23,30,31,50,54,56,69,71,73,77,93,99,100,104,106,130,
132,133,135,137,143,200,211,237,265,266,277,283,361,375,623],[1,2,3,4,5,6,9,
11,12,13,14,17,18,19,20,21,22,23,31,41,50,54,56,59,71,77,94,98,101,108,111,
115,127,130,133,137,143,168,223,240,248,260,265,277,387,395,624],[1,2,3,4,8,9,
10,11,18,24,44,46,47,48,53,54,55,57,65,66,79,82,180,186,225,233,264,269,279,
291,310,348,625],[1,2,3,4,5,6,9,11,13,14,17,18,19,20,21,22,23,26,31,50,54,56,
60,71,77,86,92,93,100,102,108,115,126,129,130,133,137,173,228,243,260,265,280,
283,363,373,626],[1,2,3,4,5,6,9,11,16,17,18,19,20,21,22,23,31,50,51,54,71,77,
118,129,130,133,137,143,195,246,247,252,265,277,280,627],[1,2,3,4,5,6,9,10,11,
16,17,23,28,31,40,45,53,65,74,75,79,80,81,91,109,113,114,123,130,142,194,231,
257,278,329,332,334,388,628],[1,2,3,4,5,6,9,10,11,15,17,18,19,20,21,22,23,31,
45,49,50,54,71,77,82,126,130,133,137,141,177,243,250,253,254,265,270,629],[1,
2,3,4,5,9,10,11,17,19,45,47,50,65,79,80,82,119,178,222,256,324,350,630],[1,2,
3,4,5,6,9,11,13,14,17,18,19,20,21,22,23,24,31,50,54,56,57,71,77,83,101,104,
106,108,111,115,126,130,131,133,137,172,238,240,243,260,265,266,380,385,631],[
1,2,3,6,8,9,10,15,16,20,21,22,23,44,49,51,71,77,91,112,196,198,232,241,244,
247,262,632],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,49,51,54,71,77,107,131,190,
196,238,246,247,253,267,633],[1,3,6,12,13,14,15,21,52,68,69,90,94,105,185,259,
288,634],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,49,51,54,61,71,77,142,174,229,
236,246,251,262,267,635],[1,2,3,4,5,8,9,10,11,16,17,18,44,53,54,55,67,76,78,
80,81,113,180,221,235,242,272,282,290,636],[1,3,6,12,14,15,21,43,68,69,97,98,
120,185,224,289,637],[1,2,3,6,8,9,10,12,13,14,16,20,21,22,23,41,44,45,51,56,
71,77,91,94,98,112,166,220,232,245,248,249,285,638],[1,2,3,4,5,6,9,11,16,17,
18,19,20,21,22,23,30,50,51,54,71,77,99,126,131,135,142,200,229,236,238,243,
247,252,639],[1,2,5,6,10,16,17,23,40,62,67,74,75,81,91,121,123,226,255,257,
274,351,640],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,27,30,44,50,51,72,74,77,84,
85,88,91,99,112,116,118,123,135,144,181,195,200,216,227,232,261,379,399,641],[
1,2,3,4,6,9,11,13,14,15,18,20,21,22,23,49,54,56,71,77,89,95,104,106,110,143,
197,247,253,266,271,277,286,642],[1,2,3,4,6,9,11,13,14,15,16,18,20,21,22,23,
49,51,54,56,71,77,90,97,101,104,106,111,189,229,234,240,251,266,286,643],[1,2,
3,5,8,9,10,16,17,19,29,44,50,51,75,76,139,193,309,319,336,644],[1,2,3,5,9,10,
17,19,29,45,50,80,139,178,319,645],[1,2,3,4,8,9,10,11,20,45,46,48,53,66,71,
119,201,204,256,646],[1,2,3,4,9,10,11,12,18,41,45,54,78,79,119,203,210,256,
647],[1,2,3,4,8,9,10,11,45,46,48,53,66,67,78,119,201,268,292,295,296,648],[1,
2,3,4,8,9,10,11,18,44,45,54,65,66,78,119,203,213,256,296,322,649],[1,2,3,5,6,
9,10,13,14,16,17,19,20,21,22,23,45,50,51,56,71,77,80,92,93,100,102,144,178,
228,249,252,261,283,285,650],[1,2,3,5,9,10,13,14,16,17,45,56,75,80,81,113,119,
175,231,292,651],[1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,21,22,23,28,31,41,44,
48,50,51,54,77,79,91,96,103,112,113,114,116,123,130,133,137,142,199,207,212,
227,232,236,265,370,388,652],[1,2,3,6,9,12,13,14,15,20,21,22,23,41,49,56,71,
77,89,94,95,98,128,132,209,230,237,241,248,271,286,653],[1,2,3,9,12,13,14,15,
41,49,56,68,70,105,120,206,288,289,331,342,654],[1,2,3,5,9,10,16,17,45,47,75,
80,81,113,119,167,231,292,350,354,655],[1,2,3,6,9,12,13,14,15,16,20,21,22,23,
41,49,51,56,68,70,71,77,89,94,95,98,189,206,245,248,267,271,286,656],[1,2,3,5,
8,9,10,16,17,19,44,50,51,75,76,136,193,300,339,343,657],[1,2,3,6,9,10,13,14,
16,20,21,22,23,45,51,56,71,77,89,95,196,204,214,229,250,271,285,658],[1,2,3,6,
9,10,20,21,22,23,45,71,77,87,132,182,204,237,247,249,250,659],[1,2,3,6,9,10,
20,21,22,23,27,45,71,77,84,85,88,109,132,181,202,237,247,249,250,660],[1,2,3,
5,6,9,10,13,14,15,17,19,20,21,22,23,45,49,50,56,71,77,90,92,93,97,100,102,175,
228,234,250,254,283,286,661],[1,2,3,6,9,10,13,14,15,16,20,21,22,23,45,49,51,
56,71,77,90,97,179,234,249,262,267,285,286,662],[1,2,3,4,6,9,10,11,21,22,23,
40,45,53,65,77,79,109,119,194,202,256,317,356,663],[1,3,6,12,13,14,15,21,43,
68,69,70,97,98,105,224,281,288,664],[1,2,3,4,5,9,11,13,14,16,17,18,19,20,50,
51,54,56,71,93,100,101,108,111,115,189,214,240,246,252,260,283,665],[1,2,3,4,
5,8,9,10,11,13,14,15,16,17,18,19,44,45,49,50,51,54,56,65,66,75,76,108,115,193,
208,213,251,254,260,285,666],[1,2,3,6,8,9,10,15,16,20,21,22,23,44,49,51,71,72,
74,77,91,110,112,132,197,216,229,232,237,244,267,667],[1,2,3,8,9,10,13,14,15,
44,49,56,105,120,208,331,668],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,41,
45,49,50,51,54,56,68,70,79,108,113,115,206,210,212,251,254,260,285,669],[1,2,
3,6,9,12,15,16,20,21,22,23,41,49,51,71,77,107,128,190,209,229,230,245,247,262,
670],[1,2,3,4,8,9,10,11,18,24,44,45,46,47,48,53,54,55,57,65,66,79,82,187,201,
213,217,222,264,269,279,291,310,671],[1,2,3,9,10,45,67,78,119,203,268,292,
672],[1,2,3,9,10,45,67,78,119,191,268,292,673],[1,2,3,4,9,10,11,20,40,45,53,
65,71,79,119,194,204,256,674],[1,2,3,4,6,9,10,11,21,22,23,45,47,65,67,77,79,
82,109,191,202,222,353,359,675],[1,2,3,4,8,9,10,11,18,44,45,54,65,66,67,119,
191,213,256,295,333,676],[1,2,3,5,9,10,15,16,17,45,49,75,80,81,113,119,179,
231,292,677],[1,2,3,5,6,8,9,10,13,14,17,19,20,21,22,23,44,50,56,69,71,72,73,
74,77,92,102,116,123,129,132,211,216,220,227,228,237,280,678],[1,2,3,8,9,10,
13,14,15,20,44,49,56,71,87,107,182,190,198,214,220,244,286,679],[1,2,3,4,6,8,
9,10,11,18,23,28,44,53,54,55,72,109,114,119,180,239,275,346,356,680],[1,2,3,4,
5,6,8,9,10,11,15,17,18,19,20,21,22,23,44,45,49,50,54,65,66,71,77,116,123,126,
141,213,227,243,244,249,254,270,681],[1,2,3,4,5,9,10,11,16,17,18,45,54,75,80,
81,82,113,119,177,231,292,324,338,682],[1,2,3,5,8,9,10,16,17,19,44,50,51,67,
75,76,78,193,221,226,284,315,683],[1,2,3,4,9,10,11,16,45,47,51,65,79,81,82,
119,176,222,256,338,354,684],[1,3,6,12,13,14,15,21,52,68,69,70,90,94,120,259,
281,289,685],[1,2,3,8,9,10,13,14,15,44,49,56,119,208,239,686],[1,2,3,6,9,10,
13,14,16,20,21,22,23,45,51,56,69,71,73,77,89,95,109,118,195,202,211,229,250,
271,285,687],[1,2,3,5,8,9,10,16,17,40,44,46,67,76,78,80,81,113,165,221,242,
255,273,276,287,688],[1,2,3,9,12,13,14,15,41,49,56,68,70,140,206,312,320,347,
689],[1,2,3,9,10,16,45,51,81,136,176,300,690],[1,2,3,4,8,9,10,11,12,18,24,41,
44,45,46,47,48,53,54,55,57,65,66,79,82,199,201,210,222,233,264,310,348,691],[
1,2,5,6,8,10,16,17,23,25,46,58,67,74,75,80,112,116,117,226,258,263,276,352,
692],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,49,51,54,63,71,77,141,171,241,251,
253,262,267,270,693],[1,3,4,5,6,14,18,19,20,22,24,26,27,31,43,83,84,86,87,89,
93,102,104,111,115,126,129,131,133,308,362,372,373,385,694],[1,3,5,6,12,14,15,
19,20,22,28,68,93,103,107,120,122,127,134,138,289,304,358,389,390,695],[1,2,4,
6,10,11,16,23,24,53,57,65,67,81,82,91,109,119,142,225,235,329,333,338,356,359,
696],[1,2,3,5,6,8,9,10,16,17,21,22,23,44,67,72,74,76,77,78,80,81,113,216,221,
242,298,313,351,352,697],[1,2,5,6,10,16,17,23,26,30,60,75,78,99,123,136,144,
284,325,343,698],[1,2,3,5,6,9,15,17,19,23,28,49,50,105,114,120,122,124,134,
205,302,331,360,390,699],[1,2,3,6,9,15,20,23,28,49,71,105,107,114,120,124,134,
190,302,331,367,389,700],[1,2,3,5,6,9,16,17,19,21,22,23,25,29,30,50,58,77,99,
113,117,121,135,139,145,200,294,319,382,396,701],[1,2,3,6,9,13,14,21,22,23,28,
56,69,73,77,114,125,138,140,211,320,327,391,402,702],[1,2,3,5,9,16,17,19,25,
26,29,50,58,60,86,113,117,121,139,146,173,294,319,383,384,703],[1,2,3,5,6,9,
16,17,21,22,23,51,62,77,113,117,118,121,136,195,300,303,392,403,704],[1,3,5,6,
12,14,15,19,20,22,28,68,93,103,105,107,122,127,134,138,288,304,358,360,367,
705],[1,2,5,6,10,16,17,23,26,29,30,60,62,75,81,99,121,123,139,144,274,309,325,
384,396,706],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,105,140,141,288,347,355,
707],[1,2,5,6,10,16,17,23,25,58,61,75,80,91,117,118,136,144,263,323,343,386,
403,708],[1,2,3,6,9,13,14,23,28,43,52,56,114,125,138,140,170,320,327,366,398,
709],[1,2,3,5,9,13,14,16,17,51,56,62,113,117,121,136,189,300,303,710],[1,2,5,
6,10,16,17,23,29,61,67,75,91,118,139,144,226,309,323,711],[1,3,5,12,14,15,19,
20,68,93,107,122,127,140,185,304,347,712],[1,3,5,12,13,14,15,19,20,68,70,93,
107,122,127,140,281,304,347,713],[1,2,4,5,6,8,10,11,17,23,31,40,66,78,80,82,
109,116,119,130,184,287,296,297,317,324,345,714],[1,2,3,6,9,15,23,28,49,63,
105,114,120,124,134,171,302,331,364,394,715],[1,2,3,5,9,16,17,20,51,62,71,113,
117,121,136,196,300,303,716],[1,3,6,12,14,15,21,28,63,68,96,97,105,110,124,
128,138,288,321,337,381,394,717],[1,2,3,6,9,13,14,16,23,28,51,56,114,125,138,
140,192,320,327,718],[1,2,3,6,8,9,10,20,23,28,44,71,72,109,114,119,198,239,
275,719],[1,2,4,6,10,11,16,23,47,53,65,78,81,82,91,109,119,142,269,272,322,
329,346,349,354,720],[1,3,6,12,13,14,15,21,22,28,52,68,69,90,94,103,134,138,
140,259,347,358,398,402,721],[1,3,6,12,13,14,15,21,28,52,68,69,90,94,96,124,
138,140,259,312,337,391,398,722],[1,3,6,12,14,15,21,28,43,68,69,96,97,98,124,
138,140,224,312,337,366,402,723],[1,2,3,5,9,15,16,17,19,25,29,49,50,58,113,
117,121,139,215,294,319,724],[1,2,5,6,10,16,17,23,29,40,74,75,91,123,136,139,
257,309,343,725],[1,3,6,12,14,15,21,22,28,43,68,69,97,98,103,134,138,140,224,
347,358,366,391,726],[1,2,4,6,10,11,16,23,40,47,65,67,81,91,109,119,142,183,
255,317,329,333,353,354,727],[1,3,4,6,12,13,14,15,18,22,28,59,68,70,103,104,
106,124,125,134,138,141,281,307,330,355,358,728],[1,2,3,6,9,13,14,20,23,28,56,
71,114,125,138,140,214,320,327,729],[1,2,4,6,8,10,11,16,23,46,47,66,78,81,109,
112,119,142,187,273,296,328,344,349,354,730],[1,3,6,12,14,15,21,63,68,97,110,
128,140,185,312,321,731],[1,3,4,5,6,12,13,14,15,18,19,20,21,22,28,30,31,52,59,
68,69,90,92,93,94,95,101,103,104,107,108,122,127,132,135,137,141,143,259,304,
306,355,361,374,387,397,400,732],[1,2,3,4,5,8,9,10,11,16,17,44,47,66,76,79,80,
81,82,113,119,233,239,242,324,338,350,354,733],[1,3,4,5,6,12,14,15,18,19,20,
21,22,28,30,31,43,59,68,69,89,93,97,98,102,103,104,107,111,115,122,127,132,
135,137,141,143,224,304,308,355,361,371,377,378,395,734],[1,2,3,5,9,16,17,51,
61,62,113,117,121,136,174,300,303,386,393,735],[1,3,4,6,12,14,15,18,22,28,59,
68,103,104,120,140,141,289,347,355,736],[1,2,5,6,10,16,17,23,61,62,75,81,91,
118,121,136,144,274,323,343,392,393,737],[1,2,4,5,6,8,10,11,17,23,31,47,53,66,
78,80,109,116,119,130,186,282,296,297,349,350,356,738],[1,2,5,6,10,16,17,23,
29,61,75,78,91,118,139,144,284,309,323,739],[1,3,6,12,13,14,15,21,27,28,42,52,
63,68,69,70,73,88,90,94,96,97,98,110,128,259,301,316,318,321,341,369,401,
740],[1,2,3,6,9,15,21,22,23,28,49,77,105,110,114,120,124,134,197,302,331,376,
381,741],[1,3,6,12,14,15,21,28,42,68,96,98,120,128,140,289,312,316,742],[1,3,
6,12,13,14,15,21,28,42,68,70,94,96,98,124,125,128,134,138,281,301,305,316,337,
743],[1,2,3,4,6,8,9,10,11,23,28,44,47,66,67,72,78,79,82,109,114,221,233,275,
345,349,353,359,744],[1,2,3,4,5,6,8,9,10,11,16,17,23,28,31,44,46,48,55,65,66,
72,76,79,80,81,91,109,112,113,114,116,123,130,142,242,264,275,293,297,328,329,
334,357,370,388,745],[1,2,4,5,6,10,11,17,23,31,47,53,65,67,80,82,109,119,123,
130,269,290,333,334,346,350,353,746],[1,2,4,5,6,10,11,17,23,31,40,47,65,78,80,
109,119,123,130,183,287,317,322,334,349,350,747],[1,2,3,5,9,16,17,19,20,25,29,
50,58,71,113,117,121,139,188,294,319,748],[1,2,5,6,8,10,16,17,23,46,67,74,75,
78,80,81,112,116,117,121,258,273,276,313,315,340,351,749],[1,2,5,6,10,16,17,
23,40,67,74,75,78,80,81,91,117,121,123,255,257,287,298,315,340,352,750],[1,2,
4,6,8,10,11,16,23,40,66,67,81,82,109,112,119,142,184,255,295,317,328,338,359,
751],[1,3,6,12,14,15,21,28,42,68,96,98,105,128,140,288,312,316,752],[1,2,4,6,
8,10,11,16,23,47,53,66,67,81,109,112,119,142,186,235,295,328,353,354,356,
753],[1,2,3,4,8,9,10,11,44,46,48,55,65,66,67,78,79,119,221,239,264,295,296,
322,333,754],[1,3,6,12,13,14,15,21,63,68,70,97,110,128,140,281,312,321,755],[
1,2,5,6,10,16,17,23,26,30,60,67,75,99,123,136,144,226,325,343,756],[1,2,5,6,
10,16,17,23,25,26,29,30,58,60,75,80,99,117,123,139,144,145,146,263,309,325,
382,383,757],[1,2,4,5,6,8,10,11,17,23,31,46,55,65,66,67,80,82,109,119,123,130,
276,279,324,333,334,344,359,758],[1,2,4,5,6,8,10,11,17,23,24,31,53,55,57,66,
67,80,82,109,116,119,130,290,291,295,297,324,346,359,759],[1,2,5,6,8,10,16,17,
23,26,27,30,46,60,61,72,74,75,76,85,91,99,112,116,118,123,144,258,323,325,326,
335,357,379,399,760],[1,3,6,12,14,15,21,28,63,68,96,97,110,120,124,128,138,
289,321,337,364,376,761],[1,2,4,5,6,8,10,11,17,23,31,46,47,66,67,80,109,116,
119,130,187,276,295,297,344,350,353,762],[1,2,4,5,6,10,11,16,17,23,31,53,62,
67,74,75,78,81,121,130,142,235,272,274,298,315,332,351,763],[1,2,4,5,6,10,11,
17,23,24,31,53,57,65,78,80,82,109,119,123,130,225,282,322,324,334,345,356,
764],[1,2,4,6,8,10,11,16,23,46,55,65,66,78,81,82,91,109,119,142,273,279,322,
329,338,344,345,765],[1,2,4,5,6,10,11,16,17,23,31,53,74,75,78,80,81,117,121,
130,142,272,282,284,298,313,332,340,766],[1,2,4,6,8,10,11,16,23,24,53,55,57,
66,78,81,82,109,112,119,142,272,291,296,328,338,345,346,767],[1,2,4,5,6,10,11,
16,17,23,25,31,53,58,67,74,75,78,80,117,130,142,263,282,290,313,315,332,352,
768],[1,2,4,5,6,10,11,16,17,23,31,53,67,74,75,80,81,117,121,130,142,226,235,
290,332,340,351,352,769],[1,2,5,6,8,10,16,17,23,29,46,74,75,112,116,136,139,
258,309,343,770],[1,3,5,6,12,13,15,19,20,21,28,70,96,100,105,107,120,122,125,
127,134,299,305,342,360,367,389,390,771],[1,3,6,12,13,15,21,22,28,63,70,90,
103,105,110,120,124,125,128,330,341,342,364,376,381,394,772],[1,2,5,6,8,16,17,
23,61,62,76,112,117,118,136,144,219,335,339,386,392,393,403,773],[1,2,4,5,6,8,
11,16,17,23,29,31,55,72,76,130,136,139,142,293,336,339,774],[1,3,4,5,6,12,13,
14,15,18,19,20,21,22,28,30,31,52,59,70,73,89,90,92,94,95,97,98,100,101,102,
103,106,107,108,111,115,122,127,132,135,137,141,143,299,307,311,314,318,371,
374,375,377,378,387,395,397,400,775],[1,3,4,5,6,13,14,18,19,20,22,24,26,27,31,
52,83,84,86,87,89,92,93,95,100,101,102,104,106,108,111,115,126,129,131,133,
306,311,314,362,363,365,368,372,373,380,385,776],[1,2,5,6,8,16,17,23,25,26,29,
30,58,60,76,99,116,121,139,144,145,146,218,326,336,382,383,384,396,777],[1,2,
7,32,39,163,404,778],[1,3,7,12,14,15,68,147,185,779],[1,2,3,4,7,9,11,12,18,32,
38,41,54,59,147,155,168,408,411,780],[1,2,3,7,8,9,10,12,32,41,44,45,147,158,
166,408,781],[1,2,3,6,7,9,12,13,14,21,22,23,32,33,34,41,56,77,94,98,147,154,
248,405,406,408,782],[1,2,3,5,7,9,12,17,19,20,32,35,41,50,71,127,147,156,223,
408,412,783],[1,2,3,7,9,10,32,37,45,47,151,167,407,784],[1,2,6,7,10,23,32,36,
47,78,109,152,349,407,785],[1,2,3,6,7,9,12,15,21,22,23,32,36,41,49,77,128,147,
152,230,408,419,786],[1,2,3,7,9,12,32,37,41,42,147,151,164,408,415,787],[1,2,
5,7,10,17,32,35,40,78,80,156,287,409,788],[1,2,7,10,16,32,40,67,81,157,255,
409,789],[1,2,3,7,9,12,16,20,32,41,51,71,147,157,245,408,790],[1,2,7,10,16,32,
47,81,119,157,354,407,791],[1,2,3,7,8,9,10,32,37,40,44,46,151,165,409,792],[1,
2,6,7,10,23,32,33,34,47,67,109,154,353,407,793],[1,2,4,7,8,10,11,32,40,66,82,
158,184,409,794],[1,2,4,7,8,10,11,32,38,46,47,66,155,187,407,795],[1,2,4,7,10,
11,32,38,40,47,65,155,183,409,796],[1,2,4,7,8,10,11,32,47,53,66,158,186,407,
797],[1,2,5,7,10,17,32,35,47,80,119,156,350,407,798],[1,2,6,7,10,23,32,36,40,
109,119,152,317,409,799],[1,2,6,7,10,23,32,33,34,40,109,119,154,317,409,800],[
1,3,4,5,6,7,12,14,18,19,20,21,31,33,35,38,59,98,111,115,127,137,143,147,159,
395,405,411,412,801],[1,3,4,5,6,7,12,13,18,19,20,21,31,34,35,38,59,94,101,108,
127,137,143,147,160,387,406,411,412,802],[1,2,3,4,7,9,11,18,24,32,37,54,57,83,
148,151,172,410,427,803],[1,2,3,7,9,15,32,37,49,63,151,171,420,804],[1,3,6,7,
15,28,34,36,37,63,105,124,162,394,420,805],[1,2,3,5,7,9,17,19,26,32,37,50,60,
86,150,151,173,413,433,806],[1,2,3,7,9,13,14,32,37,43,52,56,151,170,418,807],[
1,2,5,7,17,25,26,29,32,35,58,60,139,146,150,156,383,413,423,808],[1,2,5,7,17,
25,26,29,32,35,58,60,139,146,149,156,383,416,422,809],[1,2,5,7,16,17,26,29,32,
60,121,139,150,157,384,413,810],[1,2,3,7,9,16,32,37,51,61,151,174,417,811],[1,
3,6,7,12,14,15,21,28,33,36,37,42,68,96,98,128,147,161,316,405,415,419,812],[1,
2,7,16,32,61,62,136,157,393,417,813],[1,3,6,7,14,28,33,36,37,43,138,140,161,
366,418,814],[1,3,6,7,12,13,15,21,28,34,36,37,42,70,94,96,128,147,162,301,406,
415,419,815],[1,2,5,6,7,17,23,25,29,30,32,36,58,99,139,145,149,152,382,416,
430,816],[1,3,6,7,15,28,33,36,37,63,120,124,161,364,420,817],[1,2,4,7,8,10,11,
24,32,57,65,66,148,158,217,410,818],[1,2,5,7,8,16,17,25,32,58,76,121,149,158,
218,416,819],[1,2,4,7,11,24,32,38,57,64,148,155,169,410,431,820],[1,2,5,7,16,
17,32,35,61,117,136,156,386,417,821],[1,2,6,7,16,23,32,33,34,62,118,136,154,
392,414,822],[1,2,7,16,32,61,62,136,157,393,414,823],[1,2,5,7,8,16,17,32,62,
76,117,158,219,414,824],[1,3,6,7,14,28,34,36,37,43,138,140,162,366,418,825],[
1,2,3,4,5,6,7,8,9,11,16,17,23,28,31,32,33,34,35,36,37,38,48,112,113,114,116,
130,142,151,152,154,155,156,157,158,159,160,161,162,370,425,426,429,434,435,
436,437,826],[1,2,3,6,7,9,21,22,23,27,32,37,77,84,85,88,151,153,181,424,428,
432,827],[1,2,3,7,9,20,32,37,71,87,151,182,421,828],[1,4,24,39,64,829],[1,3,
12,39,42,830],[1,2,3,8,9,10,12,13,14,15,41,44,45,49,56,68,70,166,175,179,185,
206,208,281,445,455,831],[1,2,3,9,10,13,14,16,43,45,47,51,52,56,61,81,167,170,
174,175,176,189,192,285,446,482,511,832],[1,2,3,5,8,9,10,12,16,17,19,25,41,44,
45,50,51,58,62,75,76,80,81,113,117,121,166,176,178,193,212,218,219,231,242,
263,274,294,303,340,444,456,479,522,571,833],[1,2,3,5,9,10,15,17,19,26,45,47,
49,50,60,63,80,86,122,167,171,173,178,179,205,215,254,450,457,507,834],[1,2,3,
4,8,9,10,11,12,18,24,40,41,44,45,47,53,54,57,65,66,79,82,166,167,177,183,184,
186,194,210,213,217,222,225,233,269,348,441,442,453,497,592,835],[1,2,3,4,8,9,
10,11,12,18,24,40,41,42,44,45,46,47,48,53,54,55,57,59,65,66,79,82,83,164,165,
166,167,168,172,177,180,194,199,201,210,213,222,233,264,310,348,439,441,449,
453,470,691,836],[1,2,3,6,9,10,20,21,22,23,27,45,47,71,77,84,85,87,88,109,132,
167,181,182,202,204,237,247,249,250,487,659,660,837],[1,2,3,8,9,10,13,14,15,
20,40,43,44,46,49,52,56,63,71,87,107,165,170,171,182,190,198,208,214,220,244,
286,481,493,506,679,838],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,26,27,30,40,44,
46,50,51,60,61,72,74,75,76,77,84,85,86,88,91,99,112,116,118,123,135,144,165,
173,174,181,193,195,200,216,227,232,257,258,261,323,325,326,335,357,379,399,
463,513,519,525,641,760,839],[1,2,3,6,9,12,13,14,15,21,22,23,27,28,41,42,43,
49,52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,103,110,114,128,164,170,
171,181,197,206,207,211,224,230,234,248,259,301,316,318,321,341,369,401,492,
503,520,526,612,740,840],[1,2,3,8,9,10,12,41,44,45,119,166,239,256,292,474,
841],[1,2,3,5,9,12,16,17,19,20,26,41,42,50,51,60,61,71,86,87,113,127,164,173,
174,182,188,196,209,212,223,245,252,485,489,505,568,842],[1,2,3,4,8,9,10,11,
12,18,41,44,45,47,54,65,66,67,78,79,82,166,167,177,191,203,210,213,221,222,
233,268,440,441,452,466,475,843],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,
75,76,80,81,113,119,166,176,178,193,212,231,239,242,256,292,444,474,490,509,
844],[1,2,3,4,6,8,9,10,11,12,18,20,21,22,23,28,41,44,45,47,54,65,66,71,72,74,
77,79,82,96,103,109,114,131,143,166,167,177,198,202,204,207,209,210,213,216,
222,233,238,249,250,275,277,278,441,443,448,487,491,540,577,845],[1,2,3,4,6,8,
9,10,11,12,13,14,15,18,21,22,23,28,41,42,44,45,48,49,54,56,59,68,70,72,74,77,
79,94,96,98,103,104,106,109,114,128,141,164,166,168,175,179,199,202,206,207,
208,210,216,230,248,266,270,275,278,301,307,316,355,439,443,445,460,478,498,
503,561,846],[1,2,3,5,9,10,15,17,19,45,47,49,50,67,80,167,178,179,191,254,440,
450,847],[1,2,3,6,8,9,10,12,13,14,15,21,22,23,28,41,44,45,49,56,68,70,72,74,
77,96,103,109,114,124,125,134,138,166,175,179,202,206,207,208,216,275,278,302,
305,327,330,337,358,443,445,461,484,541,563,848],[1,2,3,8,9,10,12,13,14,15,41,
44,45,49,56,68,70,119,166,175,179,206,208,239,256,292,445,474,686,849],[1,2,3,
8,9,10,12,13,14,15,41,44,45,49,56,67,68,70,78,166,175,179,191,203,206,208,221,
268,445,475,476,495,850],[1,2,3,5,9,10,15,17,19,45,47,49,50,80,119,167,178,
179,254,256,450,515,851],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,67,75,76,
78,80,81,113,166,176,178,191,193,203,212,221,226,231,242,268,284,315,444,475,
616,618,683,852],[1,2,3,4,8,9,10,11,13,14,16,45,46,47,48,51,53,56,66,78,81,
167,175,176,186,187,201,203,272,273,285,438,446,452,458,510,853],[1,2,3,4,8,9,
10,11,12,18,41,44,45,47,54,65,66,79,82,119,166,167,177,210,213,222,233,239,
256,292,441,474,477,515,854],[1,2,3,5,6,9,10,15,17,19,20,21,22,23,30,45,47,49,
50,71,77,80,99,107,109,110,129,135,167,178,179,188,190,197,200,202,204,241,
249,250,254,280,450,487,500,516,535,562,855],[1,2,3,4,5,8,9,10,11,15,17,19,45,
46,47,48,49,50,53,66,67,80,167,178,179,186,187,191,201,254,276,290,438,440,
450,480,521,856],[1,2,3,4,5,9,10,11,15,17,19,40,45,47,49,50,53,65,78,79,80,82,
167,178,179,183,194,203,222,254,269,282,287,442,450,452,508,517,857],[1,2,3,4,
9,10,11,13,14,16,40,45,47,51,53,56,65,67,79,81,82,167,175,176,183,191,194,222,
235,255,269,285,440,442,446,462,473,858],[1,2,3,9,10,13,14,16,45,47,51,56,78,
81,167,175,176,203,285,446,452,859],[1,2,3,9,10,13,14,16,45,47,51,56,81,119,
167,175,176,256,285,446,515,860],[1,2,3,4,5,8,9,10,11,12,16,17,18,19,20,41,42,
44,45,48,50,51,54,59,71,75,76,79,80,81,113,126,127,164,166,168,176,178,193,
198,199,204,209,210,212,223,231,242,243,245,246,439,444,448,464,468,486,505,
605,861],[1,2,3,4,8,9,10,11,12,18,24,40,41,44,45,46,47,48,53,54,55,57,65,66,
79,82,165,166,167,177,180,183,184,186,187,194,199,201,210,213,217,222,225,233,
264,269,279,291,310,348,438,441,442,449,454,465,592,625,671,691,862],[1,2,3,4,
5,8,9,10,11,12,13,14,15,16,17,18,19,41,44,45,47,49,50,51,54,56,65,66,68,70,75,
76,79,80,81,82,108,113,115,166,167,175,176,177,178,179,193,206,208,210,212,
213,222,231,233,242,251,254,260,285,441,444,445,446,447,450,451,666,669,863],[
1,2,3,5,8,9,10,12,16,17,19,20,41,44,45,50,51,71,75,76,80,81,113,166,176,178,
193,198,204,209,212,231,242,444,448,586,864],[1,2,3,4,5,6,8,9,10,11,12,16,17,
18,19,21,22,23,28,31,40,41,44,45,46,48,50,51,53,54,55,65,66,72,74,75,76,77,79,
80,81,91,96,103,109,112,113,114,116,123,130,133,137,142,165,166,176,178,180,
193,194,199,201,202,207,212,213,216,227,231,232,236,242,257,258,264,265,275,
278,293,297,328,329,332,334,357,370,388,443,444,449,463,471,483,512,583,628,
652,745,865],[1,2,3,4,8,9,10,11,12,13,14,15,18,20,40,41,44,45,46,48,49,53,54,
55,56,65,66,68,70,71,79,101,111,165,166,175,179,180,194,198,199,201,204,206,
208,209,213,220,240,244,253,264,445,448,449,459,472,488,506,607,866],[1,2,3,6,
9,10,13,14,16,20,21,22,23,45,47,51,56,69,71,73,77,81,89,95,109,118,167,175,
176,195,196,202,204,211,214,229,249,250,271,285,446,487,499,502,658,687,867],[
1,2,3,6,9,12,13,14,15,21,22,23,28,41,42,49,56,68,70,77,94,96,98,103,114,124,
125,128,134,138,164,185,206,207,230,248,281,301,302,305,316,327,330,337,358,
455,503,524,563,743,868],[1,2,3,4,5,6,9,11,13,14,17,18,19,20,21,22,23,24,26,
27,31,43,50,52,54,56,57,60,71,77,83,84,85,86,87,88,89,92,93,95,100,101,102,
104,106,108,111,115,126,129,130,131,133,137,170,172,173,181,182,228,238,240,
243,260,265,266,271,280,283,306,308,311,314,362,363,365,368,372,373,380,385,
549,552,574,626,631,694,776,869],[1,2,3,4,8,9,10,11,12,18,24,40,41,44,45,46,
47,48,53,54,55,57,59,64,65,66,79,82,83,168,169,172,177,180,183,184,186,187,
194,199,201,210,213,217,222,225,233,264,269,279,291,310,348,453,465,470,497,
523,592,625,671,691,870],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,24,27,49,51,54,
57,61,63,71,77,83,84,85,87,88,141,142,143,171,172,174,181,182,229,236,241,246,
251,253,262,267,270,277,601,611,613,635,693,871],[1,2,3,4,5,9,11,12,16,17,18,
19,20,25,41,50,51,54,58,59,62,71,113,117,121,126,168,209,212,243,246,294,303,
456,468,586,872],[1,2,3,4,6,9,11,12,13,14,15,18,21,22,23,28,41,49,54,56,59,68,
70,77,96,103,104,106,114,124,125,134,138,141,168,185,206,207,266,270,281,302,
305,307,327,330,337,355,358,455,460,527,563,728,873],[1,2,3,5,9,12,16,17,19,
20,25,41,42,50,51,58,62,71,113,117,121,127,164,209,212,223,245,294,303,456,
505,586,874],[1,2,3,6,9,10,20,21,22,23,45,47,67,71,77,78,109,167,191,202,203,
204,249,250,440,452,487,875],[1,2,3,5,6,8,9,10,12,16,17,19,21,22,23,28,41,44,
45,50,51,67,72,74,75,76,77,78,80,81,96,103,109,113,114,166,176,178,191,193,
202,203,207,212,216,221,231,242,268,275,278,298,313,351,352,443,444,475,533,
536,585,588,697,876],[1,2,3,6,9,10,20,21,22,23,45,47,71,77,109,119,167,202,
204,249,250,256,487,515,877],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,75,76,
80,81,113,136,166,176,178,193,212,231,242,300,339,343,444,587,657,690,878],[1,
2,3,9,10,13,14,16,45,47,51,56,81,140,167,175,176,285,320,446,578,879],[1,2,3,
6,9,10,20,21,22,23,45,47,71,77,78,109,119,167,202,203,204,249,250,256,452,487,
515,880],[1,2,3,8,9,10,12,20,41,44,45,67,71,78,119,166,191,198,203,204,209,
221,239,256,268,292,448,474,475,881],[1,2,3,4,6,9,10,11,20,21,22,23,40,45,47,
53,65,71,77,78,79,82,109,167,183,194,202,203,204,222,249,250,269,345,349,442,
452,487,569,608,882],[1,2,3,5,6,9,10,15,17,19,23,28,45,47,49,50,67,74,78,80,
109,114,124,134,167,178,179,254,268,278,302,313,349,352,353,450,461,495,536,
558,883],[1,2,3,4,6,9,11,12,13,14,15,16,18,20,21,22,23,28,41,49,51,54,56,59,
63,68,70,71,77,90,96,97,103,104,106,110,114,118,128,131,132,141,142,168,171,
192,195,197,206,207,214,230,234,236,237,238,241,245,251,253,262,266,267,270,
307,321,341,355,460,494,520,532,573,597,599,619,693,884],[1,2,3,4,5,6,8,9,10,
11,13,14,15,17,18,19,20,21,22,23,43,44,49,50,52,53,54,55,56,71,77,89,92,93,95,
100,101,102,104,106,108,110,111,115,116,122,123,126,143,170,180,188,197,198,
205,208,214,220,227,228,240,243,247,253,260,266,271,277,283,286,306,308,311,
314,459,481,501,538,539,559,574,620,642,885],[1,2,3,5,9,10,15,17,19,29,45,47,
49,50,80,139,167,178,179,254,319,450,645,886],[1,2,3,6,8,9,10,12,20,21,22,23,
28,41,44,45,71,72,74,77,96,103,109,114,119,166,198,202,204,207,209,216,239,
256,275,278,292,443,448,474,719,887],[1,2,3,4,6,9,10,11,20,21,22,23,40,45,47,
53,65,71,77,79,82,109,119,167,183,194,202,204,222,249,250,256,269,317,356,442,
487,515,663,674,888],[1,2,3,5,6,9,10,13,14,15,16,17,19,20,21,22,23,45,47,49,
50,51,56,71,77,80,81,90,92,93,97,100,102,109,144,167,175,176,178,179,202,204,
228,234,249,250,252,254,261,262,267,283,285,286,446,450,487,530,570,615,650,
661,662,889],[1,2,3,4,5,6,8,9,10,11,13,14,16,17,18,19,20,21,22,23,26,30,31,44,
50,51,53,54,55,56,60,69,71,72,73,74,75,76,77,86,92,93,99,100,102,104,106,108,
115,116,123,126,129,130,132,133,135,137,142,143,144,173,180,189,193,196,200,
211,216,220,227,228,236,237,243,260,261,265,266,277,280,283,293,325,326,332,
361,363,373,375,496,512,513,547,559,584,623,626,678,890],[1,2,3,5,8,9,10,12,
13,14,15,16,17,19,41,44,45,49,50,51,56,68,70,75,76,80,81,113,119,166,175,176,
178,179,193,206,208,212,231,239,242,256,292,444,445,474,651,677,891],[1,2,3,8,
9,10,12,13,14,15,20,41,44,45,49,56,67,68,70,71,78,166,175,179,191,198,203,204,
206,208,209,221,268,445,448,475,892],[1,2,3,4,9,10,11,13,14,16,40,45,47,51,53,
56,65,79,81,82,119,167,175,176,183,194,222,256,269,285,338,354,442,446,515,
581,684,893],[1,2,3,6,8,9,10,12,21,22,23,28,41,44,45,67,72,74,77,78,96,103,
109,114,119,166,191,202,203,207,216,221,239,256,268,275,278,292,443,474,475,
557,595,894],[1,2,3,4,5,6,9,11,12,13,14,15,17,18,19,20,21,22,23,28,30,31,41,
43,49,50,52,54,56,59,68,69,70,71,73,77,89,90,92,93,94,95,96,97,98,99,100,101,
102,103,104,106,107,108,111,114,115,122,127,130,132,133,135,137,141,143,168,
170,190,200,205,206,207,211,223,224,228,234,237,240,248,259,260,265,266,270,
271,277,283,299,304,306,307,308,311,314,318,355,361,371,374,375,377,378,387,
395,397,400,460,469,492,542,548,574,604,623,624,732,734,775,895],[1,2,3,4,5,6,
8,9,10,11,12,15,17,18,19,20,21,22,23,31,41,44,45,47,49,50,54,65,66,71,77,79,
80,82,109,116,123,126,127,128,130,133,137,141,166,167,177,178,179,202,204,210,
213,222,223,227,230,233,243,244,249,250,253,254,265,270,297,334,441,450,464,
471,472,487,498,567,572,629,681,896],[1,2,3,4,5,6,9,10,11,15,16,17,18,19,20,
21,22,23,31,45,49,50,51,54,63,71,77,81,82,107,110,122,126,130,133,137,141,144,
171,176,177,179,190,197,205,215,241,243,250,251,252,253,254,261,262,265,267,
270,451,500,507,528,555,570,594,629,693,897],[1,2,3,4,6,9,10,11,15,16,18,23,
28,45,49,51,54,67,74,78,81,82,109,114,124,134,176,177,179,251,268,278,298,302,
345,351,359,451,461,495,553,585,898],[1,2,3,4,8,9,10,11,12,18,41,42,44,45,48,
54,59,67,78,79,119,164,166,168,191,199,203,210,221,239,256,268,292,439,474,
475,606,647,899],[1,2,3,5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,41,44,45,49,
50,56,63,68,70,71,77,90,92,93,97,100,102,107,110,116,122,123,127,128,166,171,
175,179,190,197,205,206,208,215,223,227,228,230,234,241,244,250,254,283,286,
299,304,321,341,445,469,493,500,501,507,520,543,556,572,661,900],[1,2,3,6,9,
10,13,14,16,23,28,45,47,51,56,67,74,78,81,109,114,125,138,167,175,176,268,278,
285,298,327,349,351,353,446,476,484,558,585,901],[1,2,3,4,6,8,9,10,11,12,18,
21,22,23,28,41,44,45,47,54,65,66,67,72,74,77,78,79,82,96,103,109,114,166,167,
177,191,202,203,207,210,213,216,221,222,233,268,275,278,345,349,353,359,441,
443,475,553,558,569,675,744,902],[1,2,3,4,5,8,9,10,11,12,16,17,18,19,41,44,45,
47,50,51,54,65,66,75,76,79,80,81,82,113,119,166,167,176,177,178,193,210,212,
213,222,231,233,239,242,256,292,324,338,350,354,441,444,474,630,655,682,684,
733,903],[1,2,3,4,5,9,10,11,13,14,17,18,19,45,50,54,56,80,82,108,115,140,175,
177,178,260,320,447,578,904],[1,2,3,4,6,9,10,11,13,14,15,16,18,20,21,22,23,45,
49,51,54,56,61,71,77,81,82,90,97,101,104,106,111,118,142,174,176,177,179,189,
192,195,196,229,234,236,240,246,249,251,262,266,267,285,286,451,482,499,596,
599,610,635,643,662,905],[1,2,3,4,6,8,9,10,11,12,18,21,22,23,28,40,41,44,45,
46,48,53,54,55,65,66,72,74,77,79,96,103,109,114,119,165,166,180,194,199,201,
202,207,213,216,239,256,264,275,278,292,317,344,346,356,443,449,474,545,550,
589,593,663,680,906],[1,2,3,4,8,9,10,11,12,13,14,15,18,41,44,45,47,49,54,56,
65,66,68,70,79,82,119,166,167,175,177,179,206,208,210,213,222,233,239,256,292,
441,445,474,581,600,907],[1,2,3,5,6,8,9,10,13,14,15,16,17,19,20,21,22,23,40,
44,46,49,50,51,56,69,71,72,73,74,75,76,77,91,92,102,110,112,116,122,123,129,
132,165,192,193,197,198,205,208,211,216,220,227,228,229,232,237,244,252,257,
258,267,280,357,463,501,504,506,529,537,566,667,678,908],[1,2,3,4,5,9,10,11,
15,16,17,18,45,49,51,54,62,75,80,81,82,113,117,119,121,176,177,179,231,251,
274,292,303,324,338,340,451,479,490,677,682,909],[1,2,3,9,10,13,14,16,45,47,
51,56,81,136,167,175,176,285,300,446,690,910],[1,2,3,4,5,9,10,11,15,17,19,40,
45,47,49,50,53,65,79,80,82,119,167,178,179,183,194,222,254,256,269,324,350,
442,450,515,600,630,911],[1,2,3,5,9,10,15,17,19,45,47,49,50,78,80,119,167,178,
179,203,254,256,450,452,515,912],[1,2,3,9,10,13,14,16,45,47,51,56,67,81,119,
167,175,176,191,256,285,440,446,515,913],[1,2,3,5,9,10,15,17,19,45,47,49,50,
80,105,120,167,178,179,254,331,450,598,914],[1,2,3,4,6,8,9,10,11,20,21,22,23,
45,46,47,48,53,66,71,77,109,119,167,186,187,201,202,204,249,250,256,344,346,
438,487,515,593,646,915],[1,2,3,4,5,9,10,11,13,14,17,18,19,29,45,50,54,56,80,
82,108,115,139,175,177,178,260,319,447,645,916],[1,2,3,4,6,9,10,11,20,21,22,
23,40,45,47,53,65,67,71,77,79,82,109,167,183,191,194,202,204,222,249,250,269,
353,359,440,442,487,580,675,917],[1,2,3,4,6,8,9,10,11,12,15,16,18,20,21,22,23,
24,41,44,45,48,49,51,53,54,55,57,59,65,66,71,77,79,81,82,83,91,109,112,128,
131,141,142,143,168,172,176,177,179,180,199,202,204,210,213,230,232,236,238,
244,245,246,251,253,270,277,310,328,329,348,451,470,472,483,486,491,498,534,
613,619,621,918],[1,2,3,4,8,9,10,11,12,18,41,44,45,47,54,65,66,67,79,82,119,
166,167,177,191,210,213,222,233,256,295,333,440,441,515,606,676,919],[1,2,3,4,
5,6,9,11,12,15,16,17,18,19,20,21,22,23,30,41,49,50,51,54,59,61,71,77,99,107,
113,126,128,131,135,142,168,174,190,196,200,209,212,215,229,230,236,238,243,
245,246,247,251,252,253,262,267,468,489,514,528,619,633,635,639,670,920],[1,2,
3,4,5,6,9,11,12,13,14,16,17,18,19,20,21,22,23,26,31,41,50,51,54,56,59,60,71,
77,86,92,93,94,98,100,101,102,108,111,113,115,118,126,127,129,130,133,137,143,
168,173,188,189,195,209,212,214,223,228,240,243,246,247,248,252,260,265,277,
280,283,363,373,387,395,468,485,518,531,620,624,626,627,665,921],[1,2,3,5,8,9,
10,12,16,17,19,29,41,44,45,50,51,75,76,80,81,113,139,166,176,178,193,212,231,
242,309,319,336,444,564,644,645,922],[1,2,3,8,9,10,12,41,44,45,67,78,119,166,
191,203,221,239,256,268,292,474,475,672,673,923],[1,2,3,4,5,6,8,9,10,11,12,13,
14,17,18,19,20,21,22,23,24,31,41,44,45,48,50,53,54,55,56,57,59,65,66,71,77,79,
80,82,83,94,98,101,104,106,108,109,111,115,116,123,126,127,130,131,133,137,
143,168,172,175,177,178,180,199,202,204,210,213,220,223,227,238,240,243,248,
260,265,266,277,297,310,334,348,380,385,387,395,447,464,470,471,478,488,491,
559,582,624,631,924],[1,2,3,4,5,6,9,10,11,13,14,15,17,18,19,20,21,22,23,26,30,
31,45,49,50,54,56,60,71,77,80,82,86,90,92,93,97,99,100,102,108,115,122,126,
129,130,133,135,137,141,173,175,177,178,188,200,205,215,228,234,243,250,253,
254,260,265,270,280,283,286,363,373,374,377,447,457,516,538,548,590,626,629,
661,925],[1,2,3,4,5,6,9,10,11,13,14,17,18,19,23,28,45,50,54,56,67,74,78,80,82,
108,109,114,115,125,138,175,177,178,260,268,278,313,327,345,352,359,447,476,
484,536,553,926],[1,2,3,4,5,8,9,10,11,13,14,17,18,19,24,40,45,46,48,50,53,54,
55,56,57,65,66,67,78,79,80,82,108,115,175,177,178,184,191,194,201,203,225,260,
276,279,282,287,290,291,310,447,462,465,466,480,508,510,927],[1,2,3,5,6,8,9,
10,12,15,16,17,19,20,21,22,23,26,30,41,44,45,49,50,51,60,71,75,76,77,80,81,86,
99,113,116,122,123,127,128,129,135,144,166,173,176,178,188,193,200,205,212,
215,223,227,230,231,242,244,250,252,254,261,262,267,280,325,326,444,457,467,
485,513,514,516,529,546,570,572,928],[1,2,3,4,5,8,9,10,11,12,16,17,18,19,40,
41,44,45,46,48,50,51,53,54,55,65,66,67,75,76,78,79,80,81,113,165,166,176,178,
180,191,193,194,199,201,203,212,213,221,231,235,242,255,264,268,272,273,276,
282,287,290,444,449,458,473,475,480,508,575,609,636,688,929],[1,2,3,5,6,8,9,
10,13,14,15,16,17,19,20,21,22,23,40,44,46,49,50,51,56,71,72,74,75,76,77,89,90,
91,93,95,97,100,112,116,123,165,188,189,193,196,198,208,215,216,220,227,232,
234,241,244,247,257,258,262,271,283,357,463,467,496,506,539,556,614,617,632,
930],[1,2,3,4,6,8,9,10,11,12,13,14,16,18,20,21,22,23,41,44,45,47,51,54,56,65,
66,71,77,79,81,82,91,94,98,101,104,106,109,111,112,142,166,167,175,176,177,
202,204,210,213,220,222,232,233,236,240,245,246,248,249,250,266,285,328,329,
441,446,478,483,486,487,488,544,560,596,638,931],[1,2,3,5,6,9,12,13,14,15,16,
17,19,20,21,22,23,28,30,41,42,49,50,51,56,68,70,71,77,89,92,94,95,96,98,99,
102,103,113,114,118,127,128,132,135,164,189,195,200,206,207,209,212,215,223,
228,230,237,241,245,248,267,271,286,301,316,371,400,503,505,514,518,542,543,
573,653,656,932],[1,2,3,4,5,9,10,11,13,14,17,18,19,24,45,47,50,53,54,56,57,65,
79,80,82,108,115,119,175,177,178,222,225,256,260,269,324,348,350,447,477,497,
581,630,933],[1,2,3,4,9,10,11,15,16,18,45,49,51,54,81,82,105,120,176,177,179,
251,331,451,598,934],[1,2,3,4,9,10,11,15,16,18,24,45,47,49,51,53,54,57,65,79,
81,82,119,176,177,179,222,225,251,256,269,338,348,354,451,477,497,600,684,
935],[1,2,3,5,6,8,9,10,12,13,14,16,17,19,20,21,22,23,41,44,45,50,51,56,61,71,
75,76,77,80,81,91,92,93,94,98,100,102,112,113,118,144,166,174,176,178,189,192,
193,195,196,212,220,228,229,231,232,242,245,248,249,252,261,283,285,323,335,
444,482,489,496,499,518,519,554,566,638,650,936],[1,2,3,4,6,8,9,10,11,13,14,
15,16,18,20,21,22,23,44,49,51,53,54,55,56,63,69,71,73,77,91,101,107,111,112,
131,141,171,180,190,192,196,198,208,211,232,238,240,241,244,246,247,251,253,
262,267,270,286,459,493,504,565,610,621,632,633,693,937],[1,2,3,5,6,9,12,13,
14,15,16,17,19,20,21,22,23,28,41,42,49,50,51,56,68,70,71,77,93,94,96,98,100,
103,107,113,114,122,127,128,129,144,164,190,192,205,206,207,209,212,214,223,
229,230,245,247,248,261,262,280,283,299,301,304,316,469,494,503,505,531,546,
554,576,670,938],[1,2,3,4,8,9,10,11,12,13,14,15,18,40,41,44,45,46,48,49,53,54,
55,56,65,66,67,68,70,78,79,165,166,175,179,180,191,194,199,201,203,206,208,
213,221,264,268,445,449,462,475,510,517,521,939],[1,2,3,4,8,9,10,11,15,16,18,
24,40,45,46,48,49,51,53,54,55,57,65,66,67,78,79,81,82,176,177,179,184,191,194,
201,203,225,235,251,255,272,273,279,291,310,451,458,465,466,473,517,521,940],[
1,2,3,6,8,9,10,12,13,14,15,16,20,21,22,23,41,43,44,45,49,51,52,56,68,69,70,71,
73,77,89,90,91,94,95,97,98,112,166,170,175,179,189,192,206,208,211,214,220,
224,232,234,245,248,249,259,262,267,271,285,286,318,445,481,492,494,502,504,
511,617,638,656,662,941],[1,2,3,6,9,10,20,21,22,23,45,47,67,71,77,109,119,167,
191,202,204,249,250,256,440,487,515,942],[1,2,3,4,8,9,10,11,12,18,41,44,45,47,
54,65,66,78,79,82,119,166,167,177,203,210,213,222,233,256,296,322,441,452,515,
647,649,943],[1,2,3,5,9,10,15,16,17,19,25,45,47,49,50,58,75,80,81,113,117,119,
121,167,178,179,231,254,263,292,294,340,350,354,450,509,522,655,677,944],[1,2,
3,5,9,10,13,14,16,17,45,47,51,56,62,75,80,81,113,117,119,121,167,175,176,231,
274,285,292,303,340,350,354,446,479,490,651,655,945],[1,2,3,4,8,9,10,11,12,18,
20,40,41,44,45,46,48,53,54,55,65,66,71,79,119,165,166,180,194,198,199,201,204,
209,213,239,256,264,292,448,449,474,646,674,946],[1,2,3,4,9,10,11,15,16,18,45,
49,51,54,81,82,136,176,177,179,251,300,451,690,947],[1,2,3,4,5,6,9,10,11,13,
14,16,17,18,19,20,21,22,23,43,45,50,51,52,54,56,69,71,73,77,80,82,89,92,93,95,
100,101,102,104,106,108,111,115,142,144,170,175,177,178,189,192,211,214,228,
236,240,246,249,252,260,261,266,271,283,285,306,308,311,314,447,502,511,547,
551,574,596,650,665,948],[1,2,3,4,8,9,10,11,12,18,40,41,44,45,46,48,53,54,55,
65,66,67,78,79,119,165,166,180,191,194,199,201,203,213,221,239,256,264,268,
292,295,296,322,333,449,474,475,622,648,649,676,754,949],[1,2,3,4,5,6,8,9,10,
11,15,16,17,18,19,20,21,22,23,31,44,49,50,51,53,54,55,61,71,72,74,75,76,77,91,
110,112,118,130,131,132,133,137,141,142,144,174,180,188,193,195,197,215,216,
229,232,236,237,238,244,246,251,261,262,265,267,270,293,323,332,335,467,512,
519,532,591,594,621,635,667,950],[1,2,3,8,9,10,12,13,14,15,41,44,45,49,56,68,
70,105,120,166,175,179,206,208,288,289,331,342,445,598,654,668,951],[1,2,3,4,
5,9,10,11,13,14,16,17,18,19,25,45,50,54,56,58,75,80,81,82,108,113,115,117,119,
121,175,177,178,231,260,263,292,294,324,338,340,447,509,522,651,682,952],[1,2,
3,8,9,10,12,13,14,15,41,44,45,49,56,68,70,140,166,175,179,206,208,312,320,347,
445,578,579,689,953],[1,2,3,4,8,9,10,11,12,18,20,41,44,45,47,54,65,66,67,71,
78,79,82,166,167,177,191,198,203,204,209,210,213,221,222,233,268,441,448,475,
580,608,954],[1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,26,30,31,
44,45,49,50,51,54,56,60,65,66,71,75,76,77,80,86,90,92,93,97,99,100,102,108,
109,110,115,116,122,123,126,129,130,133,135,137,141,144,173,178,193,197,200,
202,205,208,213,215,227,228,234,241,243,244,249,251,252,254,260,261,265,267,
270,280,283,285,297,325,326,334,363,373,374,377,457,471,501,513,529,530,535,
548,555,556,594,626,650,666,681,955],[1,2,3,4,5,6,8,9,10,11,17,18,19,21,22,23,
24,31,40,44,45,47,50,53,54,57,65,66,77,78,79,80,82,109,116,119,123,130,133,
137,178,183,184,186,194,202,203,213,217,222,225,227,233,256,265,269,282,287,
296,297,317,322,324,334,345,348,349,350,356,471,508,569,592,630,649,663,714,
738,747,764,956],[1,2,3,4,6,8,9,10,11,13,14,15,18,20,23,28,44,49,53,54,55,56,
71,72,101,109,111,114,119,124,125,134,138,180,198,208,239,240,253,275,302,327,
346,356,459,541,680,686,719,957],[1,2,3,4,5,6,8,9,10,11,13,14,16,17,23,28,31,
45,46,48,53,56,66,74,75,78,80,81,109,112,113,114,116,119,125,130,138,142,175,
201,203,231,258,278,292,297,298,313,327,328,332,344,356,370,484,510,550,557,
583,588,651,958],[1,2,3,4,5,9,10,11,15,16,17,40,45,49,53,65,67,75,78,79,80,81,
113,119,179,194,203,231,255,268,272,284,287,290,292,315,322,333,495,517,575,
618,622,672,677,959],[1,2,3,6,9,10,13,14,20,21,22,23,28,45,56,69,71,73,74,77,
89,95,109,114,125,138,140,175,211,214,249,271,278,320,327,391,402,484,502,578,
702,729,960],[1,2,3,4,8,9,10,11,13,14,18,20,24,44,45,46,47,48,53,54,55,56,57,
65,66,71,78,79,82,101,111,119,175,187,201,203,204,213,217,220,222,240,256,264,
269,279,291,296,310,322,488,510,581,608,646,649,671,961],[1,2,3,4,5,6,8,9,10,
11,13,14,16,17,18,19,20,21,22,23,27,30,31,44,45,50,51,54,56,65,66,69,71,72,73,
74,77,80,84,85,88,89,91,92,93,95,99,100,102,104,106,109,112,116,118,123,129,
130,131,132,133,135,137,143,144,178,181,188,195,198,200,202,211,213,216,220,
227,228,229,232,237,238,246,247,249,250,252,261,265,266,271,277,280,283,285,
297,334,361,365,372,375,379,399,471,516,537,539,540,552,560,591,623,627,641,
650,660,678,687,962],[1,2,3,4,5,6,8,9,10,11,16,17,18,19,21,22,23,29,31,44,50,
51,53,54,55,72,74,75,76,77,130,133,136,137,139,142,180,193,216,236,265,293,
300,309,319,332,336,339,343,512,644,657,774,963],[1,2,3,4,6,8,9,10,11,16,18,
21,22,23,24,40,44,45,47,51,53,54,57,65,66,67,77,79,81,82,91,109,112,119,142,
176,183,184,186,191,194,202,213,217,222,225,232,233,235,236,255,256,269,295,
317,328,329,333,338,348,353,354,356,359,473,483,592,663,675,676,684,696,727,
751,753,964],[1,2,3,4,6,8,9,10,11,12,13,14,18,21,22,23,24,41,44,45,46,47,48,
53,54,55,56,57,65,66,77,78,79,82,94,98,104,106,109,119,175,199,201,202,203,
210,222,233,248,256,264,266,310,344,345,346,348,349,478,510,569,581,593,647,
691,965],[1,2,3,4,5,6,8,9,10,11,16,17,18,19,21,22,23,25,31,44,50,51,53,54,55,
58,62,67,72,74,75,76,77,78,80,81,113,117,121,130,133,137,142,180,193,216,218,
219,221,226,235,236,242,263,265,272,274,282,284,290,293,294,298,303,313,315,
332,340,351,352,512,571,636,683,697,763,766,768,769,966],[1,2,3,4,5,6,8,9,10,
11,16,17,23,28,31,45,46,48,51,53,62,66,67,74,75,78,80,81,109,112,113,114,116,
117,121,130,142,176,201,203,231,235,258,268,272,273,274,276,278,282,284,297,
298,303,313,315,328,332,340,351,370,458,479,583,585,588,603,609,618,749,763,
766,967],[1,2,3,4,6,8,9,10,11,18,20,21,22,23,24,40,45,46,48,53,54,55,57,65,66,
71,77,79,82,109,119,131,143,177,184,194,201,202,204,225,238,256,277,279,291,
310,317,344,346,356,465,477,491,593,646,663,674,968],[1,2,3,5,9,12,16,17,19,
20,29,41,42,50,51,71,113,127,136,139,164,209,212,223,245,300,319,505,564,587,
969],[1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,27,30,31,44,49,
50,51,53,54,55,56,71,72,74,75,76,77,84,85,88,89,90,91,92,95,97,99,102,104,106,
108,112,115,116,118,122,123,126,129,130,131,133,135,137,141,142,143,144,180,
181,192,193,195,200,205,216,220,227,228,229,232,234,236,238,241,243,244,246,
247,251,252,260,261,265,266,267,270,271,277,280,293,332,365,372,374,377,379,
399,512,529,548,551,552,555,559,566,599,601,614,621,627,639,641,970],[1,2,3,4,
5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,41,44,48,49,50,51,54,56,68,
70,71,75,76,77,79,87,91,92,101,102,107,111,112,126,127,128,143,182,188,190,
192,193,196,198,199,206,209,214,215,220,223,228,229,230,232,240,241,243,244,
245,246,247,251,252,253,262,277,286,467,494,528,534,543,566,568,605,607,610,
611,620,632,670,679,971],[1,2,3,4,5,6,9,11,13,14,15,16,17,18,19,20,21,22,23,
24,30,31,49,50,51,54,56,57,69,71,73,77,83,90,92,93,97,99,100,101,102,104,106,
108,111,115,122,126,130,131,132,133,135,137,141,142,143,144,172,188,189,200,
205,211,214,228,229,234,236,237,238,240,241,243,246,247,251,252,253,260,261,
265,266,270,277,283,286,361,374,375,377,380,385,538,547,548,555,565,591,597,
613,620,623,631,639,643,665,972],[1,2,3,6,8,9,10,13,14,15,20,23,28,40,44,46,
49,56,71,72,109,114,119,124,125,134,138,165,198,208,220,239,244,275,302,317,
327,344,506,541,545,686,719,973],[1,2,3,4,5,6,9,11,13,14,15,16,17,18,19,20,21,
22,23,24,31,49,50,51,54,56,57,71,77,83,89,90,95,97,101,104,106,107,108,110,
111,115,118,126,129,130,131,132,133,137,141,142,143,144,172,190,192,195,196,
197,215,234,236,237,238,240,243,246,247,251,252,253,260,261,262,265,266,267,
270,271,277,280,286,378,380,385,397,528,532,551,584,590,594,599,604,610,613,
627,631,633,642,974],[1,2,3,5,6,9,12,13,14,15,17,19,20,21,22,23,28,41,49,50,
56,68,70,71,77,93,96,100,103,105,107,114,120,122,124,125,127,134,138,190,205,
206,207,223,283,288,289,299,302,304,305,327,330,331,337,342,358,360,367,389,
390,469,563,654,695,699,700,705,771,975],[1,2,3,4,5,6,8,9,10,11,17,18,19,21,
22,23,24,31,44,45,46,47,48,50,53,54,55,57,65,66,67,77,79,80,82,109,116,119,
123,130,133,137,178,187,191,201,202,213,217,222,227,256,264,265,269,276,279,
290,291,295,297,310,324,333,334,344,346,350,353,359,471,480,593,630,671,675,
676,746,758,759,762,976],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,19,20,21,22,
23,31,41,49,50,51,54,56,59,71,77,87,89,93,94,95,98,100,101,108,111,113,115,
122,126,127,128,129,130,131,132,133,137,142,143,144,168,182,188,192,196,205,
209,212,223,229,230,236,237,238,240,241,243,245,246,248,251,252,253,260,261,
262,265,271,277,280,283,286,362,368,387,395,468,538,546,549,551,554,555,568,
584,591,610,611,619,624,653,977],[1,2,3,5,8,9,10,13,14,16,17,19,20,29,44,50,
51,56,67,71,75,76,78,93,100,139,189,193,196,220,221,226,283,284,309,315,319,
336,496,644,683,978],[1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,
44,45,49,50,51,54,56,61,65,66,69,71,73,75,76,77,81,89,90,91,92,95,97,102,104,
106,108,109,112,115,118,142,144,174,176,189,192,193,195,202,208,211,213,220,
228,229,232,234,236,246,250,251,252,254,260,261,262,266,267,271,285,323,328,
329,335,482,483,504,519,530,547,551,560,566,570,599,617,635,666,687,979],[1,2,
3,6,9,12,13,14,15,16,20,21,22,23,28,41,49,51,56,68,70,71,77,96,103,114,124,
125,134,138,140,192,206,207,214,245,262,302,305,312,320,327,330,337,347,358,
494,563,689,718,729,980],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,41,43,45,49,50,51,52,54,56,68,69,70,71,73,77,79,89,90,92,93,94,95,97,98,
100,101,102,104,106,108,109,111,113,115,118,142,144,170,175,189,192,195,202,
206,210,211,212,224,228,229,234,236,240,245,248,250,251,254,259,260,261,266,
267,271,283,285,286,306,308,311,314,318,478,492,511,518,530,544,547,554,574,
599,643,656,661,669,687,981],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,19,20,21,
22,23,27,28,31,41,49,50,51,54,56,59,68,69,70,71,73,77,84,85,88,89,90,92,94,95,
96,97,98,101,102,103,104,106,108,110,111,114,115,127,128,129,130,131,133,137,
141,142,143,144,168,181,189,197,206,207,211,215,223,228,229,230,234,236,238,
240,241,245,247,248,251,253,260,261,265,266,267,270,271,277,280,286,307,355,
365,369,372,387,395,401,460,543,547,552,565,576,590,594,601,612,619,624,642,
643,656,982],[1,2,3,6,9,10,13,14,16,23,28,43,45,51,52,56,74,109,114,125,138,
140,170,175,189,192,278,285,320,327,366,398,484,511,578,709,718,983],[1,2,3,4,
5,6,9,10,11,13,14,16,17,23,28,31,40,45,53,56,65,67,74,75,79,80,81,91,109,113,
114,119,123,125,130,138,142,175,191,194,231,257,278,292,317,327,329,332,334,
346,351,352,388,462,484,533,589,595,628,651,984],[1,2,3,5,6,8,9,10,13,14,15,
17,19,21,22,23,28,44,49,50,56,72,77,92,102,105,109,110,114,116,120,122,123,
124,125,134,138,197,205,208,227,228,275,302,327,331,360,376,381,390,501,541,
668,699,741,985],[1,2,3,4,6,8,9,10,11,13,14,15,16,18,20,21,22,23,44,45,49,51,
54,56,65,66,71,72,74,77,87,89,90,91,95,97,104,106,107,110,112,131,132,143,179,
182,190,196,197,198,204,213,214,216,220,229,232,234,237,238,241,244,246,247,
249,250,253,262,266,267,271,277,285,286,472,500,540,560,597,611,614,632,633,
642,658,659,662,667,679,986],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,18,20,21,22,
23,41,44,48,49,51,54,56,63,68,70,71,72,74,77,79,89,90,91,94,95,97,98,101,104,
106,107,110,111,112,128,132,141,143,171,189,190,197,199,206,208,209,216,220,
229,230,232,234,237,240,241,244,245,247,248,251,253,262,266,267,270,271,277,
286,321,341,378,397,493,520,534,561,604,607,614,617,642,643,653,656,667,670,
693,987],[1,2,3,4,5,6,8,9,10,11,12,15,16,17,18,19,20,21,22,23,28,31,41,44,48,
49,50,51,54,61,71,75,76,77,79,91,96,103,112,113,114,116,118,122,123,126,127,
128,129,130,132,133,137,142,143,144,174,193,195,196,198,199,205,207,212,223,
227,229,230,232,236,237,241,243,244,245,246,247,251,252,261,262,265,267,277,
280,323,335,370,388,489,519,529,534,537,546,555,573,576,584,605,627,632,635,
652,988],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,31,
41,44,45,48,49,50,51,53,54,55,56,57,59,65,66,68,70,71,77,79,82,83,91,96,101,
103,104,106,108,111,112,113,114,115,116,123,126,130,131,133,137,141,142,143,
168,172,177,180,199,206,207,209,210,212,213,220,227,232,236,238,240,243,244,
246,249,250,251,253,254,260,265,266,270,277,285,307,310,348,355,370,380,385,
388,460,468,470,559,560,577,596,607,613,621,629,631,652,669,681,989],[1,2,3,4,
5,6,8,9,10,11,13,14,15,17,18,19,20,21,22,23,44,45,49,50,54,56,65,66,69,71,72,
73,74,77,87,89,90,92,93,95,97,100,101,102,107,111,116,123,126,129,131,132,141,
143,175,182,188,190,198,204,211,213,214,216,220,227,228,234,237,238,240,241,
243,244,247,249,250,254,270,271,277,280,283,286,362,368,378,397,488,502,539,
540,549,562,565,604,614,620,659,661,678,679,681,990],[1,2,3,4,5,6,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,27,28,30,31,41,44,48,49,50,51,54,56,69,71,
72,73,74,77,79,84,85,88,90,91,93,94,96,97,98,99,100,103,104,106,110,112,113,
114,116,118,123,128,130,132,133,135,137,141,142,143,144,181,192,195,197,199,
200,207,208,211,212,215,216,227,229,230,232,234,236,237,241,244,245,248,251,
261,265,266,267,270,277,283,361,369,370,375,379,388,399,401,504,514,534,554,
556,561,573,594,599,601,612,623,641,652,667,991],[1,2,3,4,8,9,10,11,13,14,15,
18,20,44,49,53,54,55,56,71,101,105,111,120,140,180,198,208,240,253,320,331,
459,579,668,992],[1,2,3,4,6,9,10,11,12,13,14,15,16,18,20,21,22,23,27,28,41,45,
49,51,54,56,69,71,73,77,79,84,85,88,89,90,94,95,96,97,98,101,103,107,109,110,
111,114,118,128,131,132,141,142,143,179,181,190,195,197,202,207,209,210,211,
229,230,234,236,237,238,240,241,245,247,248,249,250,262,267,270,271,277,285,
286,369,378,397,401,498,500,532,544,565,573,577,601,604,612,653,660,662,670,
687,993],[1,2,3,4,8,9,10,11,13,14,18,20,24,40,44,45,47,53,54,56,57,65,66,67,
71,79,82,101,111,119,175,183,184,186,191,194,204,213,217,220,222,225,233,240,
256,269,295,333,348,462,488,580,581,592,674,676,994],[1,2,3,5,9,12,16,17,19,
20,26,41,50,51,60,71,86,113,127,136,173,188,209,212,223,252,300,485,586,587,
995],[1,2,3,4,5,6,9,10,11,16,17,19,23,25,28,31,40,45,50,53,58,65,67,74,75,78,
79,80,81,91,109,113,114,117,121,123,130,142,178,194,203,231,255,257,263,268,
272,278,282,284,287,290,294,298,313,315,329,332,334,340,352,388,508,522,536,
575,588,602,618,628,750,766,768,996],[1,2,3,5,9,12,16,17,19,20,25,41,50,51,58,
61,62,71,113,117,121,136,174,196,212,245,252,294,300,303,386,393,456,489,587,
716,735,997],[1,2,3,5,6,9,12,13,14,16,17,19,21,22,23,25,41,50,51,56,58,62,77,
92,94,98,102,113,117,118,121,136,189,195,212,228,248,294,300,303,392,403,456,
518,587,704,710,998],[1,2,3,6,8,9,10,13,14,15,20,23,28,43,44,49,52,56,71,72,
109,114,124,125,134,138,140,170,208,214,220,275,286,302,320,327,366,398,481,
541,579,709,729,999],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,40,41,44,45,46,48,49,50,51,53,54,55,56,65,66,71,72,74,75,76,77,79,91,94,98,
104,106,108,112,115,116,123,126,127,128,131,141,143,165,166,180,193,194,198,
199,201,208,213,216,220,223,227,230,232,238,243,244,245,246,248,249,250,251,
254,257,258,260,264,266,270,277,285,357,449,463,506,534,540,559,560,561,572,
582,605,621,638,666,681,1000],[1,2,3,6,8,9,10,13,14,15,16,21,22,23,28,44,49,
51,56,69,72,73,77,91,109,112,114,124,125,134,138,140,192,208,211,232,267,275,
302,320,327,391,402,504,541,579,702,718,1001],[1,2,3,5,6,8,9,10,16,17,19,21,
22,23,29,40,44,46,50,51,72,74,75,76,77,91,112,116,123,136,139,165,193,216,227,
232,257,258,300,309,319,336,339,343,357,463,644,657,725,770,1002],[1,2,3,5,6,
9,10,15,17,19,23,28,45,49,50,63,74,105,109,114,120,122,124,134,171,179,205,
215,254,278,302,331,360,364,390,394,461,507,598,699,715,1003],[1,2,3,6,9,12,
13,14,15,21,22,23,28,41,49,56,63,68,70,77,90,96,97,103,105,110,114,120,124,
125,128,134,138,171,197,206,207,230,234,288,289,302,305,321,327,330,331,337,
341,342,358,364,376,381,394,520,563,654,715,717,741,761,772,1004],[1,2,3,4,5,
6,8,9,10,11,15,16,17,23,28,31,45,46,48,49,53,66,67,74,75,80,81,109,112,113,
114,116,119,124,130,134,142,179,191,201,231,258,278,292,297,302,328,332,344,
351,352,356,370,461,521,533,550,583,595,677,1005],[1,2,3,4,5,6,8,9,10,11,13,
14,15,16,17,18,19,20,21,22,23,43,44,45,49,50,51,52,54,56,65,66,71,75,76,77,89,
90,91,92,93,95,97,100,101,102,104,106,108,111,112,115,170,175,189,192,193,196,
204,208,213,214,220,228,229,232,234,240,246,250,251,252,254,260,262,266,271,
283,285,286,306,308,311,314,481,488,496,511,560,566,574,610,615,617,643,658,
661,665,666,1006],[1,2,3,4,5,9,11,12,16,17,18,19,20,29,41,50,51,54,59,71,113,
126,136,139,168,209,212,243,246,300,319,468,564,587,1007],[1,2,3,6,9,12,13,14,
15,21,22,23,28,41,42,49,56,68,70,77,94,96,98,103,105,114,120,128,140,164,206,
207,230,248,288,289,301,312,316,320,331,342,347,503,654,689,742,752,1008],[1,
2,3,5,6,8,9,10,16,17,19,21,22,23,25,44,50,51,58,61,62,75,76,77,80,81,91,112,
113,117,118,121,136,144,174,193,195,218,219,232,242,261,263,274,294,300,303,
323,335,339,340,343,386,392,393,403,519,571,657,704,708,735,737,773,1009],[1,
2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,31,41,45,49,50,51,54,
56,60,68,70,71,77,79,80,86,92,93,100,102,107,108,113,115,122,126,127,128,129,
130,133,137,144,173,178,188,190,204,205,206,210,212,215,223,228,230,241,243,
249,251,252,253,254,260,261,262,265,280,283,285,286,299,304,363,373,457,464,
469,485,528,538,543,546,555,562,567,615,626,650,669,1010],[1,2,3,4,5,6,8,9,10,
11,16,17,18,23,24,28,31,40,45,46,48,53,54,55,57,65,66,67,74,75,78,79,80,81,82,
109,112,113,114,116,119,130,142,177,184,194,201,225,231,255,258,268,272,278,
279,287,290,291,292,295,296,297,310,317,324,328,332,338,345,346,359,370,465,
553,575,583,589,648,682,714,751,759,767,1011],[1,2,3,4,5,6,8,9,10,11,16,17,19,
23,25,28,31,45,46,48,50,53,58,66,67,74,75,78,80,81,109,112,113,114,116,117,
121,130,142,178,191,201,226,231,235,258,263,268,273,276,278,282,290,294,297,
313,315,328,332,340,351,352,370,480,522,533,536,583,609,616,692,749,768,769,
1012],[1,2,3,4,6,8,9,10,11,16,18,21,22,23,24,44,45,46,47,48,51,53,54,55,57,65,
66,77,78,79,81,82,91,109,112,119,142,176,187,201,202,203,213,217,222,232,236,
256,264,269,272,273,279,291,296,310,322,328,329,338,344,345,346,349,354,458,
483,569,593,649,671,684,720,730,765,767,1013],[1,2,3,4,8,9,10,11,15,18,20,24,
44,45,46,47,48,49,53,54,55,57,65,66,67,71,79,82,119,179,187,191,201,204,213,
217,222,244,253,256,264,269,279,291,295,310,333,472,521,580,600,646,671,676,
1014],[1,2,3,6,8,9,10,13,14,15,20,23,28,44,49,56,63,71,72,105,107,109,114,120,
124,125,134,138,171,190,208,244,275,286,302,327,331,364,367,389,394,493,541,
668,700,715,1015],[1,2,3,4,6,9,10,11,16,23,28,40,45,51,53,65,67,74,78,79,81,
109,114,119,176,191,194,235,255,268,278,292,298,317,322,333,346,351,473,490,
585,589,595,622,673,1016],[1,2,3,4,6,8,9,10,11,16,23,28,45,46,48,51,53,66,67,
74,78,81,109,114,119,176,201,203,268,272,273,278,292,295,296,298,344,351,356,
458,490,550,557,585,648,672,1017],[1,2,3,4,5,6,9,10,11,16,17,23,28,31,40,45,
47,53,65,67,74,75,78,79,80,81,82,91,109,113,114,119,123,130,142,167,183,194,
222,231,255,257,268,269,272,278,287,290,292,317,322,329,332,333,334,346,349,
350,353,354,388,442,558,575,589,622,628,655,720,727,746,747,1018],[1,2,3,5,6,
9,10,16,17,23,28,45,47,67,74,75,78,80,81,109,113,114,119,167,203,231,268,278,
284,292,298,313,315,349,350,353,354,452,557,558,588,618,655,672,1019],[1,2,3,
5,6,9,10,16,17,23,28,45,47,67,74,75,78,80,81,109,113,114,119,167,191,226,231,
268,278,292,315,349,350,351,352,353,354,440,533,558,595,616,655,673,1020],[1,
2,3,4,5,6,9,10,11,15,16,17,23,28,31,40,45,49,53,65,74,75,78,79,80,81,91,109,
113,114,119,123,124,130,134,142,179,194,203,231,257,278,292,298,302,313,317,
329,332,334,346,388,461,517,557,588,589,628,677,1021],[1,2,3,5,8,9,10,15,16,
17,19,20,44,49,50,51,67,71,75,76,78,136,188,193,215,221,226,244,262,284,300,
315,339,343,467,657,683,1022],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,26,30,44,50,
51,60,67,75,76,77,78,86,99,116,123,135,136,144,173,193,200,221,226,227,261,
284,300,315,325,326,339,343,513,657,683,698,756,1023],[1,2,3,5,6,8,9,10,12,13,
14,15,16,17,19,20,21,22,23,27,28,30,41,44,45,49,50,51,56,69,71,72,73,74,77,84,
85,88,89,90,91,92,94,95,96,97,98,99,102,103,109,110,112,114,116,118,123,127,
128,129,132,135,144,166,181,195,197,200,202,207,211,216,220,223,227,228,229,
230,232,234,237,241,244,245,247,248,249,250,254,261,267,271,275,278,280,285,
369,371,379,399,400,401,443,530,535,542,572,573,576,612,614,638,641,660,667,
678,687,1024],[1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,
30,31,41,44,48,50,51,54,56,60,71,75,76,77,79,86,89,91,92,93,94,95,96,98,99,
100,102,103,108,112,113,114,115,116,123,126,127,129,130,131,132,133,135,137,
142,144,173,188,192,193,198,199,200,207,212,220,223,227,228,229,232,236,237,
238,243,245,246,247,248,252,260,261,265,271,280,283,325,326,363,370,371,373,
388,400,485,513,537,539,542,551,554,566,576,582,591,605,626,639,652,1025],[1,
2,3,4,5,6,8,9,10,11,17,19,23,28,45,46,48,50,53,66,67,74,78,80,109,114,119,178,
191,201,268,276,278,290,292,295,296,313,344,352,356,480,509,536,550,595,648,
673,1026],[1,2,3,4,5,6,9,10,11,12,13,14,16,17,18,19,20,21,22,23,28,30,41,45,
50,51,54,56,71,77,79,80,87,89,92,93,94,95,96,98,99,100,101,102,103,111,114,
126,127,129,131,132,135,142,143,144,178,182,188,196,200,204,207,209,210,214,
223,228,229,236,237,238,240,243,245,247,248,249,250,252,261,271,277,280,283,
285,362,368,371,400,464,516,531,542,544,549,568,576,577,584,620,639,650,658,
659,1027],[1,2,3,4,5,6,8,9,10,11,15,16,17,18,19,20,21,22,23,27,30,44,45,49,50,
51,54,65,66,71,72,74,77,81,84,85,88,91,99,109,110,112,116,118,123,126,129,131,
132,135,141,142,143,144,176,181,195,196,197,198,200,202,213,216,227,229,232,
236,237,238,241,243,244,247,249,250,252,254,261,262,267,270,277,280,328,329,
379,399,483,499,532,535,537,540,570,584,601,632,639,641,660,667,681,1028],[1,
2,3,4,6,9,10,11,12,13,14,18,21,22,23,24,40,41,45,47,53,54,56,57,65,67,77,79,
82,94,98,104,106,109,119,175,191,194,202,210,222,248,256,266,317,348,353,356,
359,453,462,478,581,606,663,675,1029],[1,2,3,5,6,9,10,17,19,20,21,22,23,29,30,
45,50,71,77,80,99,119,129,135,139,178,188,200,250,280,292,319,509,516,645,
1030],[1,2,3,5,6,9,12,15,16,17,19,20,21,22,23,30,41,49,50,51,71,77,99,113,128,
135,136,200,209,212,215,230,267,300,514,586,587,1031],[1,2,3,4,5,6,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,41,44,48,49,50,51,54,56,68,70,71,75,76,77,
79,87,89,93,94,95,98,100,101,107,108,111,115,116,122,123,126,127,129,131,182,
188,189,190,193,196,198,199,205,206,209,214,220,223,227,238,240,243,244,245,
246,247,248,252,253,260,267,271,280,283,286,299,304,362,368,469,496,529,531,
538,539,549,568,582,605,607,633,656,665,679,1032],[1,2,3,5,9,12,13,14,15,17,
19,20,41,49,50,56,68,70,71,93,100,107,122,127,140,185,190,205,206,223,281,283,
299,304,312,320,347,455,469,689,712,713,1033],[1,2,3,4,5,6,9,10,11,12,15,16,
17,18,19,20,21,22,23,28,31,41,45,49,50,51,54,71,77,79,81,87,96,103,107,114,
118,127,128,129,130,131,132,133,137,143,144,176,182,188,190,195,196,204,207,
209,210,223,229,230,237,238,241,245,246,247,249,250,252,253,254,261,262,265,
267,277,280,486,499,562,567,568,570,573,576,577,591,611,627,633,659,670,
1034],[1,2,3,6,9,10,13,14,20,21,22,23,45,56,67,69,71,73,77,78,89,95,140,175,
211,214,249,268,271,320,476,502,578,1035],[1,2,3,5,9,12,16,17,19,20,25,26,29,
41,50,51,58,60,62,71,86,113,117,121,127,139,146,173,188,212,223,252,294,303,
319,383,384,456,485,564,703,748,1036],[1,2,3,5,9,10,13,14,16,17,45,51,56,61,
62,75,80,81,113,117,121,136,174,176,189,192,231,274,285,300,303,340,386,393,
479,482,690,710,735,1037],[1,2,3,4,6,9,10,11,18,20,21,22,23,24,45,47,53,54,57,
65,67,71,77,78,79,82,109,131,143,177,191,202,203,204,222,225,238,269,277,345,
348,349,353,359,466,491,497,569,580,608,675,1038],[1,2,3,4,5,6,9,10,11,13,14,
15,16,17,18,19,20,21,22,23,30,31,45,49,50,51,54,56,69,71,73,77,82,87,89,93,95,
99,100,101,104,106,109,110,111,118,126,129,130,131,132,133,135,137,141,142,
143,177,182,195,197,200,202,204,211,229,236,237,238,240,241,243,246,247,249,
250,252,253,254,262,265,266,270,271,277,280,283,285,286,361,362,368,375,491,
532,535,549,565,596,611,615,623,627,629,639,642,659,687,1039],[1,2,3,4,5,6,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,41,45,49,50,51,54,56,61,68,70,71,77,
79,81,89,93,94,95,98,100,101,108,111,113,115,142,144,174,176,189,192,196,204,
206,210,212,214,229,236,240,245,246,248,250,251,252,254,260,261,262,267,271,
283,285,286,482,486,489,494,544,551,554,570,610,615,635,656,658,665,669,
1040],[1,2,3,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,41,44,45,49,50,51,56,
71,77,87,89,91,93,94,95,98,100,107,112,116,123,127,128,129,132,166,182,188,
190,196,198,204,209,214,220,223,227,229,230,232,237,241,244,245,247,248,249,
250,252,254,262,271,280,283,285,286,448,531,537,539,562,568,572,615,632,638,
653,658,659,670,679,1041],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,17,18,19,20,21,
22,23,41,43,44,48,49,50,52,54,56,68,69,70,71,72,73,74,77,79,89,90,92,93,94,95,
97,98,100,101,102,104,106,108,111,115,116,123,127,128,129,131,132,141,170,199,
206,208,209,211,214,215,216,220,223,224,227,228,230,234,237,238,240,241,244,
247,248,253,259,260,266,270,271,280,283,286,306,308,311,314,318,481,492,531,
543,556,561,565,574,582,590,597,607,614,653,678,1042],[1,2,3,4,5,6,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,31,41,44,45,48,49,50,51,53,54,55,56,57,
59,65,66,71,72,74,75,76,77,79,82,83,94,98,101,104,106,108,111,115,126,127,128,
130,131,133,137,141,142,143,168,172,177,180,193,198,199,208,210,213,216,223,
230,236,238,240,243,245,246,248,249,250,251,253,254,260,265,266,270,277,285,
293,310,332,348,380,385,387,395,459,470,512,540,544,561,567,596,605,613,619,
624,629,631,666,1043],[1,2,3,6,9,10,15,20,21,22,23,28,45,49,71,74,77,105,107,
109,110,114,120,124,134,179,190,197,241,250,278,302,331,367,376,381,389,461,
500,598,700,741,1044],[1,2,3,4,8,9,10,11,12,18,24,41,44,45,48,53,54,55,57,59,
65,66,67,78,79,82,83,119,168,172,177,180,191,199,203,210,213,256,295,296,310,
322,333,348,466,470,477,606,647,649,676,1045],[1,2,3,5,6,9,12,13,14,16,17,19,
20,21,22,23,29,41,50,51,56,71,77,92,94,98,102,113,118,139,189,195,209,212,228,
248,319,518,564,586,1046],[1,2,3,4,6,8,9,10,11,12,15,18,21,22,23,24,41,44,45,
46,47,48,49,53,54,55,57,65,66,67,77,79,82,109,119,128,141,179,191,199,201,202,
210,222,230,233,256,264,270,310,344,346,348,353,359,498,521,593,600,606,675,
691,1047],[1,2,3,4,6,9,10,11,12,15,18,21,22,23,24,40,41,45,47,49,53,54,57,65,
77,78,79,82,109,119,128,141,179,194,202,203,210,222,230,256,270,317,345,348,
349,356,453,498,517,569,600,647,663,1048],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,30,31,41,45,49,50,51,54,56,63,68,70,71,77,79,90,92,97,99,
102,108,109,110,113,115,122,127,128,129,130,133,135,137,141,144,171,179,197,
200,202,205,206,210,212,215,223,228,230,234,241,249,251,253,254,260,261,262,
265,267,270,280,285,286,321,341,374,377,498,507,514,520,530,535,543,546,548,
567,590,594,662,669,693,1049],[1,2,3,4,5,6,8,9,10,11,16,17,23,28,31,45,46,47,
48,53,66,67,74,75,78,80,81,109,112,113,114,116,119,130,142,167,186,187,201,
231,235,258,268,273,276,278,282,292,295,296,297,328,332,344,349,350,353,354,
356,370,438,550,558,583,609,648,655,730,738,753,762,1050],[1,2,3,4,5,6,8,9,10,
11,13,14,15,16,17,18,19,20,21,22,23,44,45,49,50,51,54,56,63,65,66,71,75,76,77,
90,93,97,100,107,108,115,116,122,123,126,129,141,171,179,188,190,193,204,205,
208,213,215,227,234,241,243,244,249,251,252,253,254,260,262,267,270,280,283,
285,286,467,472,493,507,528,529,538,556,562,590,615,662,666,681,693,1051],[1,
2,3,4,8,9,10,11,12,16,18,20,24,41,44,45,46,47,48,51,53,54,55,57,65,66,71,78,
79,81,82,119,176,199,201,203,204,210,222,233,245,246,256,264,272,273,310,338,
348,354,458,486,608,646,647,684,691,1052],[1,2,3,5,6,9,12,15,16,17,19,21,22,
23,25,29,30,41,49,50,51,58,62,77,99,113,117,121,128,135,139,145,200,212,215,
230,267,294,303,319,382,396,456,514,564,701,724,1053],[1,2,3,5,8,9,10,13,14,
16,17,19,20,25,44,50,51,56,58,62,71,75,76,80,81,93,100,113,117,121,136,189,
193,196,218,219,220,242,263,274,283,294,300,303,339,340,343,496,571,657,710,
716,1054],[1,2,3,4,5,6,9,10,11,16,17,23,28,31,40,45,51,53,62,65,67,74,75,78,
79,80,81,91,109,113,114,117,121,123,130,142,176,191,194,226,231,235,255,257,
268,272,274,278,287,290,298,303,315,329,332,334,340,351,352,388,473,479,533,
575,585,616,628,640,750,763,769,1055],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,
19,20,21,22,23,27,31,45,49,50,51,54,56,71,77,82,84,85,88,89,90,92,95,97,101,
102,104,106,107,109,111,126,129,130,131,132,133,137,141,142,143,144,177,181,
188,190,196,202,204,214,228,229,234,236,237,238,240,241,243,246,247,249,250,
253,254,261,265,266,267,270,271,277,280,285,365,372,378,397,491,530,552,562,
584,591,596,597,601,604,620,629,633,658,660,1056],[1,2,3,4,9,10,11,12,16,18,
20,24,40,41,45,47,51,53,54,57,65,67,71,79,81,82,119,176,191,194,204,210,222,
235,245,246,255,256,338,348,354,453,473,486,580,606,674,684,1057],[1,2,3,5,6,
8,9,10,13,14,15,17,19,21,22,23,44,49,50,56,77,92,102,110,116,119,122,123,140,
197,205,208,227,228,239,320,501,579,686,1058],[1,2,3,4,5,6,8,9,10,11,13,14,15,
16,17,18,19,20,21,22,23,44,49,50,51,53,54,55,56,71,77,87,89,90,91,93,95,97,
100,101,104,106,107,108,111,112,115,116,123,126,129,131,132,141,143,180,182,
189,190,198,208,214,215,220,227,229,232,234,237,238,240,241,243,244,246,251,
252,253,260,262,266,270,271,277,280,283,286,362,368,378,397,459,528,537,549,
556,559,590,597,604,611,617,621,643,665,679,1059],[1,2,3,4,8,9,10,11,15,18,20,
24,40,44,45,47,49,53,54,57,65,66,71,78,79,82,119,179,183,184,186,194,203,204,
213,217,222,225,233,244,253,256,269,296,322,348,472,517,592,600,608,649,674,
1060],[1,2,3,4,5,6,8,9,10,11,16,17,18,23,24,28,31,40,45,46,48,53,54,55,57,65,
66,67,74,75,78,79,80,81,82,91,109,113,114,119,123,130,142,177,184,194,201,225,
231,235,257,268,273,276,278,279,282,291,292,310,322,324,329,332,333,334,338,
344,345,356,359,388,465,550,553,609,622,628,682,696,758,764,765,1061],[1,2,3,
4,5,6,9,10,11,16,17,18,23,28,45,54,67,74,75,78,80,81,82,109,113,114,119,177,
191,203,226,231,268,278,292,298,313,315,324,338,345,359,466,553,588,595,616,
672,682,1062],[1,2,3,4,5,6,9,10,11,16,17,18,23,28,45,54,67,74,75,78,80,81,82,
109,113,114,119,177,191,203,231,268,278,284,292,315,324,338,345,351,352,359,
466,533,553,557,618,673,682,1063],[1,2,3,6,9,10,15,20,21,22,23,45,49,67,71,77,
78,105,107,110,120,179,190,197,241,250,268,331,495,500,598,1064],[1,2,3,4,5,6,
9,10,11,17,19,23,28,40,45,50,53,65,67,74,78,79,80,109,114,119,178,194,203,268,
278,282,287,292,313,317,322,333,346,352,508,509,536,557,589,622,672,1065],[1,
2,3,4,5,9,10,11,13,14,16,17,40,45,53,56,65,67,75,78,79,80,81,113,119,175,191,
194,226,231,255,268,272,287,290,292,315,322,333,462,476,575,616,622,651,673,
1066],[1,2,3,4,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,27,28,30,31,41,45,
49,50,54,56,69,71,73,77,79,84,85,88,89,90,92,93,94,95,96,97,98,99,100,102,103,
104,106,109,110,114,127,128,129,130,131,132,133,135,137,143,175,181,197,200,
202,207,209,210,211,214,223,228,230,234,237,238,241,247,248,249,250,253,254,
265,266,271,277,280,283,286,361,365,369,371,372,375,400,401,478,502,531,535,
542,552,567,577,597,612,623,642,653,660,661,1067],[1,2,3,5,9,10,15,17,19,26,
29,45,49,50,60,80,86,119,122,139,173,178,205,215,254,292,319,457,509,645,
1068],[1,2,3,5,9,10,15,16,17,19,25,26,29,45,49,50,58,60,75,80,81,86,113,117,
121,122,139,146,173,178,205,215,231,254,263,294,319,340,383,384,457,522,645,
703,724,1069],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,28,
31,41,42,44,45,48,49,50,51,54,56,59,68,70,71,77,79,91,94,96,98,101,103,108,
111,112,113,114,115,116,123,127,128,130,131,133,137,142,143,164,166,168,199,
206,207,209,210,212,220,223,227,230,232,236,238,240,244,245,248,249,250,251,
253,254,260,265,277,285,301,316,370,387,388,395,439,503,505,534,544,567,572,
577,582,607,619,624,638,652,669,1070],[1,2,3,4,5,9,10,11,12,17,18,19,20,24,40,
41,45,47,50,53,54,57,65,71,78,79,80,82,119,126,127,178,194,203,204,210,222,
223,243,256,282,287,324,348,350,453,464,508,608,630,647,674,1071],[1,2,3,5,9,
10,15,17,19,45,49,50,63,67,78,105,120,122,171,179,205,215,254,268,331,495,507,
598,1072],[1,2,3,5,6,9,10,16,17,20,21,22,23,45,51,62,71,75,77,80,81,113,117,
118,121,136,176,195,196,229,231,249,274,300,303,340,392,403,479,499,690,704,
716,1073],[1,2,3,5,8,9,10,15,16,17,19,20,25,29,44,49,50,51,58,62,71,75,76,80,
81,113,117,121,139,188,193,215,218,219,242,244,262,263,274,294,303,309,319,
336,340,467,571,644,724,748,1074],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,25,40,
44,46,50,51,58,62,67,72,74,75,76,77,78,80,81,91,112,113,116,117,121,123,165,
193,216,218,219,221,226,227,232,242,255,257,258,263,273,274,276,284,287,294,
298,303,313,315,340,351,352,357,463,571,602,603,640,683,688,692,697,749,750,
1075],[1,2,3,9,10,13,14,16,45,51,56,61,81,119,136,174,176,189,192,285,292,300,
482,490,690,1076],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
27,28,30,31,41,44,48,49,50,51,54,56,69,71,72,73,74,77,79,84,85,88,89,90,91,92,
94,95,96,97,98,99,102,103,104,106,108,110,112,113,114,115,116,118,122,123,127,
128,129,130,131,132,133,135,137,141,142,144,181,189,195,197,199,200,205,207,
208,211,212,216,220,223,227,228,230,232,234,236,237,238,248,260,261,262,265,
266,270,271,280,365,369,370,371,372,374,377,379,388,399,400,401,501,518,532,
542,546,547,548,552,561,582,612,617,641,652,678,1077],[1,2,3,6,9,12,13,14,15,
21,22,23,28,41,43,49,52,56,68,69,70,73,77,90,94,96,97,98,103,114,124,125,134,
138,140,170,206,207,211,224,234,248,259,302,305,312,318,320,327,330,337,347,
358,366,391,398,402,492,563,689,702,709,721,722,723,726,1078],[1,2,3,8,9,10,
13,14,15,20,44,49,56,63,71,107,119,140,171,190,208,239,244,286,320,493,579,
686,1079],[1,2,3,8,9,10,13,14,15,20,43,44,49,52,56,71,105,119,120,170,208,214,
220,239,286,331,481,668,686,1080],[1,2,3,6,9,10,16,20,21,22,23,45,51,71,77,81,
118,119,136,176,195,196,229,249,292,300,490,499,690,1081],[1,2,3,8,9,10,13,14,
15,20,40,44,46,49,56,71,105,120,140,165,198,208,220,244,320,331,506,579,668,
1082],[1,2,3,4,5,8,9,10,11,12,17,18,19,20,24,41,44,45,46,47,48,50,53,54,55,57,
65,66,67,71,79,80,82,119,126,127,178,191,199,201,204,210,222,223,233,243,256,
264,276,290,310,324,348,350,464,480,580,606,630,646,691,1083],[1,2,3,6,9,12,
13,14,15,21,22,23,41,43,49,52,56,68,69,70,73,77,90,94,97,98,105,120,170,185,
206,211,224,234,248,259,281,288,289,318,331,342,455,492,634,637,654,664,685,
1084],[1,2,3,6,9,12,13,14,15,21,22,23,41,49,56,63,68,70,77,90,97,110,128,140,
171,185,197,206,230,234,281,312,320,321,341,347,455,520,689,731,755,1085],[1,
2,3,5,6,8,9,10,16,17,19,21,22,23,29,44,50,51,61,67,75,76,77,78,91,112,118,139,
144,174,193,195,221,226,232,261,284,309,315,319,323,335,336,519,644,683,711,
739,1086],[1,2,3,6,8,9,10,13,14,15,16,21,22,23,44,49,51,56,69,73,77,91,105,
112,119,120,192,208,211,232,239,267,331,504,668,686,1087],[1,2,3,5,6,9,10,16,
17,19,20,21,22,23,25,29,30,45,50,58,71,75,77,80,81,99,113,117,121,129,135,139,
145,178,188,200,231,250,263,280,294,319,340,382,396,516,522,645,701,748,
1088],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,25,26,29,30,44,50,51,58,60,62,75,76,
77,80,81,86,99,113,116,117,121,123,135,139,144,145,146,173,193,200,218,219,
227,242,261,263,274,294,303,309,319,325,326,336,340,382,383,384,396,513,571,
644,701,703,706,757,777,1089],[1,2,3,4,6,9,11,12,13,14,15,18,21,22,23,28,41,
49,54,56,59,68,70,77,96,103,104,105,106,114,120,140,141,168,206,207,266,270,
288,289,307,312,320,331,342,347,355,460,654,689,707,736,1090],[1,2,3,4,5,8,9,
10,11,15,16,17,45,46,48,49,53,66,67,75,78,80,81,113,119,179,191,201,226,231,
235,268,273,276,282,292,295,296,315,495,521,609,616,648,673,677,1091],[1,2,3,
9,12,13,14,15,16,20,41,49,51,56,68,70,71,105,120,185,192,206,214,245,262,281,
288,289,331,342,455,494,654,1092],[1,2,3,4,5,8,9,10,11,13,14,16,17,45,46,48,
53,56,66,67,75,78,80,81,113,119,175,201,203,231,235,268,273,276,282,284,292,
295,296,315,476,510,609,618,648,651,672,1093],[1,2,3,9,10,13,14,16,43,45,51,
52,56,67,78,140,170,175,189,192,268,285,320,476,511,578,1094],[1,2,3,5,9,12,
16,17,19,20,29,41,50,51,61,71,113,139,174,196,209,212,245,252,319,489,564,586,
1095],[1,2,5,6,10,16,17,23,25,26,27,29,30,40,58,60,61,74,75,78,80,85,91,99,
117,118,123,136,139,144,145,146,257,263,284,287,309,313,323,325,343,382,383,
386,399,403,525,602,698,708,725,739,757,1096],[1,2,5,6,10,16,17,23,26,27,29,
30,40,60,61,62,67,74,75,81,85,91,99,118,121,123,136,139,144,226,255,257,274,
309,323,325,343,351,384,392,393,396,399,525,640,706,711,725,737,756,1097],[1,
3,4,5,6,12,13,14,15,18,19,20,21,22,28,30,31,52,59,68,69,90,92,93,94,95,101,
103,104,105,107,108,122,127,132,134,135,137,138,140,141,143,185,259,288,304,
306,347,355,358,360,361,367,374,387,397,398,400,402,527,634,705,707,712,721,
732,1098],[1,3,4,5,6,12,13,14,15,18,19,20,21,22,28,30,31,52,59,68,69,70,90,92,
93,94,95,101,103,104,106,107,108,120,122,124,125,127,132,134,135,137,138,140,
141,143,259,281,289,304,306,307,330,347,355,358,361,374,387,389,390,397,398,
400,402,685,695,713,721,728,732,736,1099],[1,2,3,4,5,6,8,9,10,11,16,17,23,28,
31,40,44,46,47,48,55,65,66,67,72,76,78,79,80,81,82,91,109,112,113,114,116,119,
123,130,142,165,183,184,187,221,233,239,242,255,264,273,275,276,279,287,293,
295,296,297,317,322,324,328,329,333,334,338,344,345,349,350,353,354,357,359,
370,388,454,545,688,714,727,730,733,744,745,747,751,754,758,762,765,1100],[1,
2,3,4,5,6,8,9,10,11,16,17,18,23,24,28,31,44,46,47,48,53,54,55,57,65,66,67,72,
76,78,79,80,81,82,91,109,112,113,114,116,119,123,130,142,180,186,221,225,233,
235,239,242,264,269,272,275,279,282,290,291,293,295,296,297,310,322,324,328,
329,333,334,338,345,346,348,349,350,353,354,356,357,359,370,388,625,636,680,
696,720,733,738,744,745,746,753,754,759,764,767,1101],[1,3,6,12,14,15,21,27,
28,42,43,63,68,69,88,96,97,98,110,120,124,128,138,140,185,224,289,312,316,321,
337,364,366,376,401,402,524,526,637,723,731,742,761,1102],[1,3,4,5,6,12,13,14,
15,18,19,20,21,22,28,30,31,43,59,68,69,70,89,93,97,98,102,103,104,105,106,107,
111,115,122,124,125,127,132,134,135,137,138,140,141,143,224,281,288,304,307,
308,330,347,355,358,360,361,366,367,371,377,378,391,395,664,705,707,713,726,
728,734,1103],[1,3,6,12,13,14,15,21,27,28,42,43,63,68,69,70,88,94,96,97,98,
105,110,124,125,128,134,138,140,224,281,288,301,305,312,316,321,337,366,381,
394,401,402,526,664,717,723,743,752,755,1104],[1,3,6,12,13,14,15,21,27,28,42,
52,63,68,69,70,73,88,90,94,96,97,98,105,110,124,128,138,140,185,259,288,301,
312,316,318,321,337,341,369,381,391,394,398,401,524,634,717,722,731,740,752,
1105],[1,2,5,6,8,10,16,17,23,26,27,29,30,46,60,61,62,72,74,75,76,78,81,85,91,
99,112,116,118,121,123,136,139,144,258,273,274,284,298,309,323,325,326,335,
343,357,379,384,392,393,396,399,603,698,706,737,739,760,770,1106],[1,3,4,5,6,
12,14,15,18,19,20,21,22,28,30,31,43,59,68,69,89,93,97,98,102,103,104,107,111,
115,120,122,127,132,134,135,137,138,140,141,143,185,224,289,304,308,347,355,
358,361,366,371,377,378,389,390,391,395,527,637,695,712,726,734,736,1107],[1,
3,6,12,13,14,15,21,27,28,42,52,63,68,69,70,73,88,90,94,96,97,98,110,120,124,
125,128,134,138,140,259,281,289,301,305,312,316,318,321,337,341,364,369,376,
391,398,401,685,722,740,742,743,755,761,1108],[1,2,5,6,8,10,16,17,23,25,26,27,
29,30,46,58,60,61,67,72,74,75,76,80,85,91,99,112,116,117,118,123,136,139,144,
145,146,226,258,263,276,309,323,325,326,335,343,352,357,379,382,383,386,399,
403,692,708,711,756,757,760,770,1109],[1,2,3,4,7,9,10,11,12,18,24,32,40,41,45,
47,53,54,57,65,79,82,147,148,194,210,222,348,407,408,409,410,453,1110],[1,2,3,
5,7,9,12,16,17,19,25,32,41,50,51,58,62,113,117,121,147,149,212,294,303,408,
414,416,456,1111],[1,3,6,7,12,13,14,15,21,34,52,68,69,90,94,105,147,185,259,
288,406,634,779,1112],[1,2,3,7,9,12,13,14,15,32,41,49,56,68,70,147,185,206,
281,408,455,779,1113],[1,3,6,7,12,14,15,21,33,43,68,69,97,98,120,147,185,224,
289,405,637,779,1114],[1,2,5,6,7,10,16,17,23,26,27,30,32,40,60,61,74,75,85,91,
99,118,123,144,150,153,257,323,325,399,409,413,417,428,525,1115],[1,3,4,6,7,
12,14,15,18,22,28,38,59,68,103,104,134,138,141,147,185,355,358,411,527,779,
1116],[1,3,6,7,12,14,15,21,36,63,68,97,110,128,140,147,185,312,321,419,731,
779,1117],[1,3,6,7,12,14,15,21,27,28,37,42,43,63,68,69,88,96,97,98,110,128,
147,153,224,316,321,401,415,418,420,432,526,1118],[1,3,5,7,12,14,15,19,20,35,
68,93,107,122,127,140,147,185,304,347,412,712,779,1119],[1,3,6,7,12,14,15,21,
28,37,42,68,96,98,124,128,138,147,185,316,337,415,524,779,1120],[1,2,3,4,5,6,
7,9,11,12,13,14,17,18,19,20,21,22,23,31,32,33,34,35,38,41,50,54,56,59,71,77,
94,98,101,108,111,115,127,130,133,137,143,147,154,155,156,159,160,168,223,240,
248,260,265,277,387,395,405,406,408,411,412,434,624,780,782,783,801,802,
1121],[1,2,3,4,6,7,9,11,12,15,16,18,20,21,22,23,32,36,38,41,49,51,54,59,71,77,
128,131,142,147,152,155,157,168,230,236,238,245,251,253,408,411,419,436,619,
780,786,790,1122],[1,2,3,6,7,9,12,13,14,15,21,22,23,28,32,33,34,36,37,41,42,
49,56,68,70,77,94,96,98,103,114,128,147,151,152,154,161,162,164,206,207,230,
248,301,316,405,406,408,415,419,437,503,782,786,787,812,815,1123],[1,3,4,5,6,
7,14,18,19,20,22,24,26,27,31,37,43,83,84,86,87,89,93,102,104,111,115,126,129,
131,133,148,150,153,308,362,372,373,385,418,421,424,427,433,694,1124],[1,2,3,
4,7,8,9,10,11,12,18,32,37,38,41,42,44,45,48,54,59,79,147,151,155,158,164,166,
168,199,210,408,411,415,435,439,780,781,787,1125],[1,2,4,5,6,7,8,10,11,17,23,
31,32,33,34,35,38,46,47,66,67,80,109,116,119,130,154,155,156,159,160,187,276,
295,297,344,350,353,407,434,762,793,795,798,1126],[1,2,3,6,7,8,9,10,12,13,14,
16,20,21,22,23,32,33,34,41,44,45,51,56,71,77,91,94,98,112,147,154,157,158,166,
220,232,245,248,249,285,405,406,408,426,638,781,782,790,1127],[1,2,3,5,6,7,8,
9,10,12,15,17,19,20,21,22,23,32,35,36,41,44,45,49,50,71,77,116,123,127,128,
147,152,156,158,166,223,227,230,244,250,254,408,412,419,425,572,781,783,786,
1128],[1,2,3,4,7,8,9,10,11,32,37,38,45,46,47,48,53,66,151,155,158,167,186,187,
201,407,435,438,784,795,797,1129],[1,2,3,4,7,8,9,10,11,32,37,38,40,44,46,47,
48,55,65,66,79,82,151,155,158,165,183,184,187,233,264,279,409,435,454,792,794,
796,1130],[1,2,3,6,7,9,10,23,28,32,33,34,36,37,45,47,67,74,78,109,114,151,152,
154,161,162,167,268,278,349,353,407,437,558,784,785,793,1131],[1,2,3,5,7,9,10,
16,17,32,35,37,45,47,75,80,81,113,119,151,156,157,167,231,292,350,354,407,429,
655,784,791,798,1132],[1,2,3,5,7,9,12,16,17,19,20,32,35,37,41,42,50,51,71,113,
127,147,151,156,157,164,209,212,223,245,408,412,415,429,505,783,787,790,
1133],[1,2,3,5,7,8,9,10,16,17,32,35,37,40,44,46,67,76,78,80,81,113,151,156,
157,165,221,242,255,273,276,287,409,429,688,788,789,792,1134],[1,2,4,6,7,8,10,
11,16,23,32,33,34,47,53,66,67,81,109,112,119,142,154,157,158,186,235,295,328,
353,354,356,407,426,753,791,793,797,1135],[1,2,4,5,6,7,8,10,11,17,23,31,32,35,
36,40,66,78,80,82,109,116,119,130,152,156,158,184,287,296,297,317,324,345,409,
425,714,788,794,799,1136],[1,2,3,6,7,8,9,10,23,28,32,33,34,36,37,40,44,46,72,
109,114,119,151,152,154,161,162,165,239,275,317,344,409,437,545,792,799,800,
1137],[1,2,4,5,6,7,8,10,11,17,23,31,32,35,36,47,53,66,78,80,109,116,119,130,
152,156,158,186,282,296,297,349,350,356,407,425,738,785,797,798,1138],[1,2,4,
5,6,7,10,11,17,23,31,32,33,34,35,38,40,47,65,78,80,109,119,123,130,154,155,
156,159,160,183,287,317,322,334,349,350,409,434,747,788,796,800,1139],[1,2,4,
6,7,8,10,11,16,23,32,33,34,40,66,67,81,82,109,112,119,142,154,157,158,184,255,
295,317,328,338,359,409,426,751,789,794,800,1140],[1,2,4,6,7,10,11,16,23,32,
36,38,40,47,65,67,81,91,109,119,142,152,155,157,183,255,317,329,333,353,354,
409,436,727,789,796,799,1141],[1,2,4,6,7,8,10,11,16,23,32,36,38,46,47,66,78,
81,109,112,119,142,152,155,157,187,273,296,328,344,349,354,407,436,730,785,
791,795,1142],[1,2,3,5,7,9,16,17,32,35,37,51,61,62,113,117,121,136,151,156,
157,174,300,303,386,393,417,429,735,811,813,821,1143],[1,2,3,4,7,8,9,10,11,18,
24,32,37,38,48,53,54,55,57,64,65,66,79,82,83,148,151,155,158,169,172,217,225,
291,310,348,410,427,431,435,523,803,818,820,1144],[1,2,3,6,7,9,15,23,28,32,33,
34,36,37,49,63,105,114,120,124,134,151,152,154,161,162,171,302,331,364,394,
420,437,715,804,805,817,1145],[1,2,3,5,7,9,16,17,19,25,26,29,32,35,37,50,58,
60,86,113,117,121,139,146,150,151,156,157,173,294,319,383,384,413,423,429,433,
703,806,808,810,1146],[1,2,5,6,7,8,16,17,23,32,33,34,61,62,76,112,117,118,136,
144,154,157,158,219,335,339,386,392,393,403,414,426,773,822,823,824,1147],[1,
2,5,6,7,8,16,17,23,25,26,29,30,32,35,36,58,60,76,99,116,121,139,144,145,146,
149,152,156,158,218,326,336,382,383,384,396,416,422,425,430,777,809,816,819,
1148],[1,2,3,6,7,9,13,14,23,28,32,33,34,36,37,43,52,56,114,125,138,140,151,
152,154,161,162,170,320,327,366,398,418,437,709,807,814,825,1149],[1,2,4,11,
24,39,57,64,163,169,829,1150],[1,2,3,9,12,39,41,42,163,164,830,1151],[1,2,3,4,
8,9,10,11,12,18,24,40,41,42,44,45,46,47,48,53,54,55,57,59,64,65,66,79,82,83,
164,165,166,167,168,169,172,177,180,183,184,186,187,194,199,201,210,213,217,
222,225,233,264,269,279,291,310,348,438,439,441,442,449,453,454,465,470,497,
523,592,625,671,691,835,836,862,870,1152],[1,2,3,4,8,9,10,11,13,14,16,43,45,
46,47,48,51,52,53,56,61,66,78,81,167,170,174,175,176,186,187,189,192,201,203,
272,273,285,438,446,452,458,482,510,511,832,853,859,1153],[1,2,3,4,5,8,9,10,
11,15,17,19,26,45,46,47,48,49,50,53,60,63,66,67,80,86,122,167,171,173,178,179,
186,187,191,201,205,215,254,276,290,438,440,450,457,480,507,521,834,847,856,
1154],[1,2,3,4,5,8,9,10,11,12,16,17,18,19,20,25,41,42,44,45,48,50,51,54,58,59,
62,71,75,76,79,80,81,113,117,121,126,127,164,166,168,176,178,193,198,199,204,
209,210,212,218,219,223,231,242,243,245,246,263,274,294,303,340,439,444,448,
456,464,468,479,486,505,522,571,586,605,833,861,864,872,874,1155],[1,2,3,4,6,
8,9,10,11,12,13,14,15,18,21,22,23,28,41,42,44,45,48,49,54,56,59,68,70,72,74,
77,79,94,96,98,103,104,106,109,114,124,125,128,134,138,141,164,166,168,175,
179,185,199,202,206,207,208,210,216,230,248,266,270,275,278,281,301,302,305,
307,316,327,330,337,355,358,439,443,445,455,460,461,478,484,498,503,524,527,
541,561,563,728,743,831,846,848,868,873,1156],[1,2,3,4,8,9,10,11,12,18,41,42,
44,45,48,54,59,67,78,79,119,164,166,168,191,199,203,210,221,239,256,268,292,
439,474,475,606,647,672,673,841,899,923,1157],[1,2,3,4,6,8,9,10,11,20,21,22,
23,27,45,46,47,48,53,66,71,77,84,85,87,88,109,119,132,167,181,182,186,187,201,
202,204,237,247,249,250,256,344,346,438,487,515,593,646,659,660,837,877,915,
1158],[1,2,3,4,8,9,10,11,12,13,14,15,18,20,40,41,44,45,46,48,49,53,54,55,56,
65,66,67,68,70,71,78,79,101,111,165,166,175,179,180,185,191,194,198,199,201,
203,204,206,208,209,213,220,221,240,244,253,264,268,281,445,448,449,455,459,
462,472,475,476,488,495,506,510,517,521,607,831,850,866,892,939,1159],[1,2,3,
4,5,6,8,9,10,11,12,16,17,18,19,20,21,22,23,28,31,40,41,44,45,46,48,50,51,53,
54,55,65,66,71,72,74,75,76,77,79,80,81,91,96,103,109,112,113,114,116,119,123,
130,133,137,142,165,166,176,178,180,193,194,198,199,201,202,204,207,209,212,
213,216,227,231,232,236,239,242,256,257,258,264,265,275,278,292,293,297,328,
329,332,334,357,370,388,443,444,448,449,463,471,474,483,490,509,512,583,586,
628,646,652,674,719,745,844,864,865,887,946,1160],[1,2,3,4,5,8,9,10,11,12,16,
17,18,19,20,41,42,44,45,48,50,51,54,59,67,71,75,76,78,79,80,81,113,119,126,
127,164,166,168,176,178,191,193,198,199,203,204,209,210,212,221,223,226,231,
239,242,243,245,246,256,268,284,292,315,439,444,448,464,468,474,475,486,490,
505,509,605,606,616,618,647,683,844,852,861,881,899,1161],[1,2,3,4,5,8,9,10,
11,12,13,14,15,16,17,18,19,41,44,45,47,49,50,51,54,56,65,66,68,70,75,76,79,80,
81,82,108,113,115,119,166,167,175,176,177,178,179,185,193,206,208,210,212,213,
222,231,233,239,242,251,254,256,260,281,285,292,441,444,445,446,447,450,451,
455,474,581,600,651,666,669,677,686,831,849,863,891,907,1162],[1,2,3,4,5,6,9,
10,11,15,17,19,20,21,22,23,30,40,45,47,49,50,53,65,67,71,77,78,79,80,82,99,
107,109,110,129,135,167,178,179,183,188,190,191,194,197,200,202,203,204,222,
241,249,250,254,269,280,282,287,353,359,440,442,450,452,487,500,508,516,517,
535,562,580,675,847,855,857,875,917,1163],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,21,22,23,28,41,44,45,47,49,50,51,54,56,65,66,67,68,70,72,74,75,76,
77,78,79,80,81,82,96,103,108,109,113,114,115,124,125,134,138,166,167,175,176,
177,178,179,191,193,202,203,206,207,208,210,212,213,216,221,222,231,233,242,
251,254,260,268,275,278,285,298,302,305,313,327,330,337,345,349,351,352,353,
358,359,441,443,444,445,446,447,450,451,461,475,476,484,495,533,536,541,553,
558,563,569,585,588,666,669,675,697,744,848,850,863,876,883,898,901,902,926,
1164],[1,2,3,4,6,8,9,10,11,12,13,14,15,18,20,21,22,23,28,40,41,44,45,46,48,49,
53,54,55,56,65,66,68,70,71,72,74,77,79,96,101,103,109,111,114,119,124,125,134,
138,165,166,175,179,180,194,198,199,201,202,204,206,207,208,209,213,216,220,
239,240,244,253,256,264,275,278,292,302,305,317,327,330,337,344,346,356,358,
443,445,448,449,459,461,472,474,484,488,506,541,545,550,563,589,593,607,663,
680,686,719,848,849,866,887,906,957,973,1165],[1,2,3,4,6,8,9,10,11,12,18,20,
21,22,23,24,28,40,41,44,45,47,53,54,57,65,66,67,71,72,74,77,78,79,82,96,103,
109,114,131,143,166,167,177,183,184,186,191,194,198,202,203,204,207,209,210,
213,216,217,221,222,225,233,238,249,250,268,269,275,277,278,345,348,349,353,
359,440,441,442,443,448,452,453,466,475,487,491,497,540,553,558,569,577,580,
592,608,675,744,835,843,845,882,902,917,954,1038,1166],[1,2,3,4,6,8,9,10,11,
12,18,20,21,22,23,24,28,40,41,44,45,46,47,48,53,54,55,57,65,66,71,72,74,77,79,
82,96,103,109,114,119,131,143,165,166,167,177,180,183,184,186,187,194,198,199,
201,202,204,207,209,210,213,216,217,222,225,233,238,239,249,250,256,264,269,
275,277,278,279,291,292,310,317,344,346,348,356,438,441,442,443,448,449,454,
465,474,477,487,491,515,540,545,550,577,589,592,593,625,646,663,671,674,680,
691,845,854,862,888,906,915,946,968,1167],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,41,44,45,47,49,50,51,54,56,65,66,68,70,75,76,79,80,81,82,105,108,113,
115,120,166,167,175,176,177,178,179,193,206,208,210,212,213,222,231,233,242,
251,254,260,285,288,289,331,342,441,444,445,446,447,450,451,598,654,666,668,
669,863,914,934,951,1168],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,41,44,
45,47,49,50,51,54,56,65,66,68,70,75,76,79,80,81,82,108,113,115,136,166,167,
175,176,177,178,179,193,206,208,210,212,213,222,231,233,242,251,254,260,285,
300,339,343,441,444,445,446,447,450,451,587,657,666,669,690,863,878,910,947,
1169],[1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,21,22,23,25,28,31,40,41,44,45,46,
48,50,51,53,54,55,58,62,65,66,67,72,74,75,76,77,78,79,80,81,91,96,103,109,112,
113,114,116,117,121,123,130,133,137,142,165,166,176,178,180,191,193,194,199,
201,202,203,207,212,213,216,218,219,221,226,227,231,232,235,236,242,255,257,
258,263,264,265,268,272,273,274,275,276,278,282,284,287,290,293,294,297,298,
303,313,315,328,329,332,334,340,351,352,357,370,388,443,444,449,456,458,463,
471,473,475,479,480,483,508,512,522,533,536,571,575,583,585,588,602,603,609,
616,618,628,636,640,652,683,688,692,697,745,749,750,763,766,768,769,833,852,
865,876,929,966,967,996,1012,1055,1075,1170],[1,2,3,4,8,9,10,11,12,18,24,40,
41,42,44,45,46,47,48,53,54,55,57,59,65,66,67,78,79,82,83,119,164,165,166,167,
168,172,177,180,191,194,199,201,203,210,213,221,222,233,239,256,264,268,292,
295,296,310,322,333,348,439,440,441,449,452,453,466,470,474,475,477,515,606,
622,647,648,649,676,691,754,836,843,854,899,919,943,949,1045,1171],[1,2,3,4,6,
8,9,10,11,13,14,16,20,21,22,23,45,46,47,48,51,53,56,66,69,71,73,77,78,81,89,
95,109,118,119,167,175,176,186,187,195,196,201,202,203,204,211,214,229,249,
250,256,271,272,273,285,344,346,438,446,452,458,487,499,502,510,515,593,646,
658,687,853,860,867,880,915,1172],[1,2,3,4,5,9,10,11,15,17,19,26,40,45,47,49,
50,53,60,63,65,78,79,80,82,86,119,122,167,171,173,178,179,183,194,203,205,215,
222,254,256,269,282,287,324,350,442,450,452,457,507,508,515,517,600,630,834,
851,857,911,912,1173],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,28,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,68,70,71,
72,74,75,76,77,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,
114,115,116,123,126,127,128,130,131,133,137,141,142,143,164,165,166,167,168,
172,175,176,177,178,179,180,193,194,198,199,201,202,204,206,207,208,209,210,
212,213,216,220,222,223,227,230,231,232,233,236,238,240,242,243,244,245,246,
248,249,250,251,253,254,257,258,260,264,265,266,270,275,277,278,285,293,297,
301,307,310,316,328,329,332,334,348,355,357,370,380,385,387,388,395,439,441,
443,444,445,446,447,448,449,450,451,453,459,460,463,464,468,470,471,472,478,
483,486,487,488,491,498,503,505,506,512,534,540,544,559,560,561,567,572,577,
582,583,596,605,607,613,619,621,624,628,629,631,638,652,666,669,681,691,745,
836,845,846,861,863,865,866,896,918,924,931,989,1000,1043,1070,1174],[1,2,3,4,
5,8,9,10,11,12,13,14,15,16,17,18,19,20,41,44,45,47,49,50,51,54,56,65,66,67,68,
70,71,75,76,78,79,80,81,82,108,113,115,166,167,175,176,177,178,179,191,193,
198,203,204,206,208,209,210,212,213,221,222,226,231,233,242,251,254,260,268,
284,285,315,441,444,445,446,447,448,450,451,475,580,586,608,616,618,666,669,
683,852,863,864,892,954,1175],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,41,43,44,45,47,49,50,51,52,54,56,61,65,66,68,69,70,71,73,75,76,77,
79,80,81,82,89,90,91,92,93,94,95,97,98,100,101,102,104,106,108,109,111,112,
113,115,118,142,144,166,167,170,174,175,176,177,178,179,189,192,193,195,196,
202,204,206,208,210,211,212,213,214,220,222,224,228,229,231,232,233,234,236,
240,242,245,246,248,249,250,251,252,254,259,260,261,262,266,267,271,283,285,
286,306,308,311,314,318,323,328,329,335,441,444,445,446,447,450,451,478,481,
482,483,486,487,488,489,492,494,496,499,502,504,511,518,519,530,544,547,551,
554,560,566,570,574,596,599,610,615,617,635,638,643,650,656,658,661,662,665,
666,669,687,832,863,867,889,905,931,936,941,948,979,981,1006,1040,1176],[1,2,
3,4,6,8,9,10,11,12,13,14,15,18,21,22,23,28,41,42,44,45,48,49,54,56,59,67,68,
70,72,74,77,78,79,94,96,98,103,104,106,109,114,119,128,141,164,166,168,175,
179,191,199,202,203,206,207,208,210,216,221,230,239,248,256,266,268,270,275,
278,292,301,307,316,355,439,443,445,460,474,475,476,478,495,498,503,557,561,
595,606,647,686,846,849,850,894,899,1177],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,41,44,45,47,49,50,51,54,56,65,66,68,70,75,76,78,79,80,81,82,108,113,
115,119,166,167,175,176,177,178,179,193,203,206,208,210,212,213,222,231,233,
242,251,254,256,260,285,296,322,441,444,445,446,447,450,451,452,515,647,649,
666,669,859,860,863,912,943,1178],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,
19,41,44,45,47,49,50,51,54,56,65,66,68,70,75,76,79,80,81,82,108,113,115,140,
166,167,175,176,177,178,179,193,206,208,210,212,213,222,231,233,242,251,254,
260,285,312,320,347,441,444,445,446,447,450,451,578,579,666,669,689,863,879,
904,953,1179],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,41,44,45,47,49,50,
51,54,56,65,66,67,68,70,75,76,79,80,81,82,108,113,115,119,166,167,175,176,177,
178,179,191,193,206,208,210,212,213,222,231,233,242,251,254,256,260,285,295,
333,440,441,444,445,446,447,450,451,515,606,666,669,676,847,851,863,913,919,
1180],[1,2,3,4,5,6,8,9,10,11,15,17,19,20,21,22,23,30,45,46,47,48,49,50,53,66,
67,71,77,80,99,107,109,110,119,129,135,167,178,179,186,187,188,190,191,197,
200,201,202,204,241,249,250,254,256,276,280,290,344,346,438,440,450,480,487,
500,515,516,521,535,562,593,646,851,855,856,915,942,1181],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,26,30,31,41,44,45,47,49,50,51,54,56,60,
63,65,66,68,70,71,75,76,77,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,
110,113,115,116,122,123,126,127,128,129,130,133,135,137,141,144,166,167,171,
173,175,176,177,178,179,188,190,193,197,200,202,204,205,206,208,210,212,213,
215,222,223,227,228,230,231,233,234,241,242,243,244,249,250,251,252,253,254,
260,261,262,265,267,270,280,283,285,286,297,299,304,321,325,326,334,341,363,
373,374,377,441,444,445,446,447,450,451,457,464,467,469,471,472,485,487,493,
498,500,501,507,513,514,516,520,528,529,530,535,538,543,546,548,555,556,562,
567,570,572,590,594,615,626,629,650,661,662,666,669,681,693,834,855,863,889,
896,897,900,925,928,955,1010,1049,1051,1182],[1,2,3,4,6,9,10,11,13,14,16,20,
21,22,23,40,45,47,51,53,56,65,67,69,71,73,77,78,79,81,82,89,95,109,118,167,
175,176,183,191,194,195,196,202,203,204,211,214,222,229,235,249,250,255,269,
271,285,345,349,440,442,446,452,462,473,487,499,502,569,608,658,687,858,859,
867,875,882,1183],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,25,41,44,45,47,
49,50,51,54,56,58,62,65,66,68,70,75,76,79,80,81,82,108,113,115,117,119,121,
166,167,175,176,177,178,179,193,206,208,210,212,213,218,219,222,231,233,239,
242,251,254,256,260,263,274,285,292,294,303,324,338,340,350,354,441,444,445,
446,447,450,451,456,474,479,490,509,522,571,630,651,655,666,669,677,682,684,
733,833,844,863,891,903,909,944,945,952,1184],[1,2,3,4,5,8,9,10,11,12,13,14,
15,16,17,18,19,24,40,41,44,45,47,49,50,51,53,54,56,57,65,66,68,70,75,76,79,80,
81,82,108,113,115,119,166,167,175,176,177,178,179,183,184,186,193,194,206,208,
210,212,213,217,222,225,231,233,239,242,251,254,256,260,269,285,292,324,338,
348,350,354,441,442,444,445,446,447,450,451,453,474,477,497,515,581,592,600,
630,655,666,669,682,684,733,835,854,863,893,903,907,911,933,935,1185],[1,2,3,
4,9,10,11,13,14,16,40,43,45,47,51,52,53,56,61,65,67,79,81,82,119,167,170,174,
175,176,183,189,191,192,194,222,235,255,256,269,285,338,354,440,442,446,462,
473,482,511,515,581,684,832,858,860,893,913,1186],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,24,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,65,66,67,68,
70,75,76,78,79,80,81,82,108,113,115,165,166,167,175,176,177,178,179,180,183,
184,186,187,191,193,194,199,201,203,206,208,210,212,213,217,221,222,225,231,
233,235,242,251,254,255,260,264,268,269,272,273,276,279,282,285,287,290,291,
310,348,438,440,441,442,444,445,446,447,449,450,451,452,454,458,462,465,466,
473,475,480,508,510,517,521,575,592,609,625,636,666,669,671,688,691,843,853,
856,857,858,862,863,927,929,939,940,1187],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,29,41,44,45,47,49,50,51,54,56,65,66,68,70,75,76,79,80,81,82,108,113,
115,139,166,167,175,176,177,178,179,193,206,208,210,212,213,222,231,233,242,
251,254,260,285,309,319,336,441,444,445,446,447,450,451,564,644,645,666,669,
863,886,916,922,1188],[1,2,3,5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,28,41,
44,45,49,50,56,63,68,70,71,72,74,77,90,92,93,96,97,100,102,103,105,107,109,
110,114,116,120,122,123,124,125,127,128,134,138,166,171,175,179,190,197,202,
205,206,207,208,215,216,223,227,228,230,234,241,244,250,254,275,278,283,286,
288,289,299,302,304,305,321,327,330,331,337,341,342,358,360,364,367,376,381,
389,390,394,443,445,461,469,484,493,500,501,507,520,541,543,556,563,572,598,
654,661,668,695,699,700,705,715,717,741,761,771,772,848,900,951,975,985,1003,
1004,1015,1044,1189],[1,2,3,5,9,10,15,16,17,19,25,26,29,45,47,49,50,58,60,63,
75,80,81,86,113,117,119,121,122,139,146,167,171,173,178,179,205,215,231,254,
263,292,294,319,340,350,354,383,384,450,457,507,509,522,645,655,677,703,724,
834,886,944,1068,1069,1190],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,40,
41,44,45,46,48,49,50,51,53,54,55,56,65,66,67,68,70,75,76,78,79,80,81,113,119,
165,166,175,176,178,179,180,191,193,194,199,201,203,206,208,212,213,221,226,
231,235,239,242,255,256,264,268,272,273,276,282,284,287,290,292,295,296,315,
322,333,444,445,449,458,462,473,474,475,476,480,495,508,510,517,521,575,609,
616,618,622,636,648,649,651,672,673,676,677,683,688,754,850,852,891,923,929,
939,949,959,1066,1091,1093,1191],[1,2,3,5,6,8,9,10,12,13,14,16,17,19,20,21,22,
23,29,41,44,45,50,51,56,61,71,75,76,77,80,81,91,92,93,94,98,100,102,112,113,
118,139,144,166,174,176,178,189,192,193,195,196,198,204,209,212,220,228,229,
231,232,242,245,248,249,252,261,283,285,309,319,323,335,336,444,448,482,489,
496,499,518,519,554,564,566,586,638,644,645,650,864,922,936,1046,1095,1192],[
1,2,3,4,8,9,10,11,12,13,14,15,18,20,40,41,44,45,46,48,49,53,54,55,56,65,66,68,
70,71,79,101,105,111,120,140,165,166,175,179,180,194,198,199,201,204,206,208,
209,213,220,240,244,253,264,288,289,312,320,331,342,347,445,448,449,459,472,
488,506,578,579,598,607,654,668,689,866,951,953,992,1082,1193],[1,2,3,5,6,9,
10,15,17,19,23,26,28,45,47,49,50,60,63,67,74,78,80,86,105,109,114,120,122,124,
134,167,171,173,178,179,205,215,254,268,278,302,313,331,349,352,353,360,364,
390,394,450,457,461,495,507,536,558,598,699,715,834,883,914,1003,1072,1194],[
1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,20,21,22,23,28,41,44,45,47,50,51,54,65,
66,67,71,72,74,75,76,77,78,79,80,81,82,96,103,109,113,114,119,131,143,166,167,
176,177,178,191,193,198,202,203,204,207,209,210,212,213,216,221,222,231,233,
238,239,242,249,250,256,268,275,277,278,292,298,313,324,338,350,351,352,354,
441,443,444,448,474,475,487,491,533,536,540,577,580,585,586,588,608,630,655,
682,684,697,719,733,845,864,876,881,887,903,954,1195],[1,2,3,4,5,6,8,9,10,11,
13,14,16,17,23,28,31,45,46,47,48,51,53,56,62,66,67,74,75,78,80,81,109,112,113,
114,116,117,119,121,125,130,138,142,167,175,176,186,187,201,203,231,235,258,
268,272,273,274,276,278,282,284,285,292,295,296,297,298,303,313,315,327,328,
332,340,344,349,350,351,353,354,356,370,438,446,452,458,476,479,484,490,510,
550,557,558,583,585,588,603,609,618,648,651,655,672,730,738,749,753,762,763,
766,853,901,945,958,967,1017,1019,1050,1093,1196],[1,2,3,5,6,8,9,10,12,15,16,
17,19,20,21,22,23,26,30,41,44,45,49,50,51,60,71,75,76,77,80,81,86,99,113,116,
122,123,127,128,129,135,136,144,166,173,176,178,188,193,198,200,204,205,209,
212,215,223,227,230,231,242,244,250,252,254,261,262,267,280,300,325,326,339,
343,444,448,457,467,485,513,514,516,529,546,570,572,586,587,657,690,864,878,
928,995,1031,1197],[1,2,3,5,9,10,15,16,17,19,25,45,47,49,50,58,75,80,81,105,
113,117,119,120,121,167,178,179,231,254,256,263,292,294,331,340,350,354,450,
509,515,522,598,655,677,851,914,944,1198],[1,2,3,6,9,10,13,14,16,23,28,45,47,
51,56,67,74,78,81,109,114,119,125,136,138,167,175,176,256,268,278,285,298,300,
327,349,351,353,446,476,484,515,558,585,690,860,901,910,1199],[1,2,3,6,9,10,
13,14,16,23,28,45,47,51,56,67,74,78,81,109,114,125,136,138,167,175,176,203,
268,278,285,298,300,327,349,351,353,446,452,476,484,558,585,690,859,901,910,
1200],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,28,31,40,41,44,
45,46,48,49,50,51,53,54,55,56,65,66,67,68,70,72,74,75,76,77,78,79,80,81,91,96,
103,109,112,113,114,116,119,123,124,125,130,133,134,137,138,142,165,166,175,
176,178,179,180,191,193,194,199,201,202,203,206,207,208,212,213,216,221,227,
231,232,236,239,242,256,257,258,264,265,268,275,278,292,293,297,298,302,305,
313,317,327,328,329,330,332,334,337,344,346,351,352,356,357,358,370,388,443,
444,445,449,461,462,463,471,474,475,483,484,510,512,517,521,533,536,541,545,
550,557,563,583,585,588,589,593,595,628,651,652,663,677,680,697,745,848,865,
876,891,894,906,939,958,984,1005,1021,1201],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,27,28,30,31,41,42,43,44,45,48,49,50,51,52,54,56,59,
63,68,69,70,71,72,73,74,77,79,84,85,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,118,122,123,127,
128,129,130,131,132,133,135,137,141,142,143,144,164,166,168,170,171,175,179,
181,189,190,192,195,197,199,200,202,205,206,207,208,209,210,211,212,214,215,
216,220,223,224,227,228,229,230,232,234,236,237,238,240,241,244,245,247,248,
249,250,251,253,254,259,260,261,262,265,266,267,270,271,275,277,278,280,283,
285,286,299,301,304,306,307,308,311,314,316,318,321,341,355,361,365,369,370,
371,372,374,375,377,378,379,387,388,395,397,399,400,401,439,443,445,460,469,
478,481,492,493,494,498,500,501,502,503,504,505,507,511,514,518,520,526,530,
531,532,534,535,542,543,544,546,547,548,552,554,556,561,565,567,572,573,574,
576,577,582,590,594,597,599,601,604,607,612,614,617,619,623,624,638,641,642,
643,652,653,656,660,661,662,667,669,670,678,687,693,732,734,740,775,840,846,
884,895,900,932,938,941,981,982,987,991,993,1024,1042,1049,1067,1070,1077,
1202],[1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,21,22,23,28,40,41,44,45,46,48,50,
51,53,54,55,65,66,67,72,74,75,76,77,78,79,80,81,96,103,109,113,114,119,165,
166,176,178,180,191,193,194,199,201,202,203,207,212,213,216,221,231,235,239,
242,255,256,264,268,272,273,275,276,278,282,287,290,292,295,296,298,313,317,
322,333,344,346,351,352,356,443,444,449,458,473,474,475,480,490,508,509,533,
536,545,550,557,575,585,588,589,593,595,609,622,636,648,649,663,672,673,676,
680,688,697,754,844,876,894,906,923,929,949,1016,1017,1026,1065,1203],[1,2,3,
4,6,8,9,10,11,12,13,14,15,18,21,22,23,28,41,42,44,45,48,49,54,56,59,68,70,72,
74,77,79,94,96,98,103,104,105,106,109,114,120,128,140,141,164,166,168,175,179,
199,202,206,207,208,210,216,230,248,266,270,275,278,288,289,301,307,312,316,
320,331,342,347,355,439,443,445,460,478,498,503,561,578,579,598,654,668,689,
707,736,742,752,846,951,953,1008,1090,1204],[1,2,3,6,8,9,10,12,13,14,15,16,20,
21,22,23,41,43,44,45,49,51,52,56,68,69,70,71,73,77,89,90,91,94,95,97,98,105,
112,119,120,166,170,175,179,189,192,206,208,211,214,220,224,232,234,239,245,
248,249,256,259,262,267,271,285,286,288,289,292,318,331,342,445,474,481,492,
494,502,504,511,598,617,638,654,656,662,668,686,849,941,951,1080,1087,1205],[
1,2,3,6,9,10,13,14,16,20,21,22,23,28,45,47,51,56,67,69,71,73,74,77,78,81,89,
95,109,114,118,125,138,140,167,175,176,195,196,202,204,211,214,229,249,250,
268,271,278,285,298,320,327,349,351,353,391,402,446,476,484,487,499,502,558,
578,585,658,687,702,729,867,879,901,960,1035,1206],[1,2,3,5,9,10,15,16,17,19,
25,45,47,49,50,58,67,75,80,81,105,113,117,119,120,121,167,178,179,191,231,254,
263,292,294,331,340,350,354,440,450,509,522,598,655,677,847,914,944,1207],[1,
2,3,4,6,8,9,10,11,12,18,20,21,22,23,28,41,44,45,47,54,65,66,67,71,72,74,77,78,
79,82,96,103,109,114,119,131,143,166,167,177,191,198,202,203,204,207,209,210,
213,216,222,233,238,249,250,256,275,277,278,295,296,322,333,440,441,443,448,
452,487,491,515,540,577,606,647,649,676,845,875,877,880,919,942,943,1208],[1,
2,3,5,6,8,9,10,12,13,14,16,17,19,20,21,22,23,25,41,44,45,50,51,56,58,61,62,71,
75,76,77,80,81,91,92,93,94,98,100,102,112,113,117,118,121,136,144,166,174,176,
178,189,192,193,195,196,212,218,219,220,228,229,231,232,242,245,248,249,252,
261,263,274,283,285,294,300,303,323,335,339,340,343,386,392,393,403,444,456,
479,482,489,496,499,518,519,522,554,566,571,587,638,650,657,690,704,708,710,
716,735,737,773,833,878,936,997,998,1009,1037,1054,1073,1209],[1,2,3,4,5,9,10,
11,15,17,19,29,40,45,47,49,50,53,65,78,79,80,82,105,120,139,167,178,179,183,
194,203,222,254,269,282,287,319,331,442,450,452,508,517,598,645,857,886,914,
1210],[1,2,3,5,6,9,10,15,17,19,20,21,22,23,28,30,45,47,49,50,67,71,74,77,78,
80,99,105,107,109,110,114,120,124,129,134,135,167,178,179,188,190,197,200,202,
204,241,249,250,254,268,278,280,302,313,331,349,352,353,367,376,381,389,450,
461,487,495,500,516,535,536,558,562,598,700,741,855,883,914,1044,1064,1211],[
1,2,3,4,6,9,10,11,13,14,16,20,21,22,23,40,45,47,51,53,56,65,67,69,71,73,77,79,
81,82,89,95,109,118,119,167,175,176,183,191,194,195,196,202,204,211,214,222,
229,249,250,256,269,271,285,317,338,353,354,356,359,440,442,446,487,499,502,
515,580,581,658,663,674,675,684,687,867,877,888,893,913,917,942,1212],[1,2,3,
6,8,9,10,12,13,14,15,16,20,21,22,23,28,41,43,44,45,49,51,52,56,68,69,70,71,72,
73,74,77,89,90,91,94,95,96,97,98,103,109,112,114,124,125,134,138,140,166,170,
175,179,189,192,202,206,207,208,211,214,216,220,224,232,234,245,248,249,259,
262,267,271,275,278,285,286,302,305,312,318,320,327,330,337,347,358,366,391,
398,402,443,445,461,481,484,492,494,502,504,511,541,563,578,579,617,638,656,
662,689,702,709,718,721,722,723,726,729,848,941,953,960,980,983,999,1001,1078,
1213],[1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,21,22,23,28,41,44,45,47,50,51,54,
65,66,67,72,74,75,76,77,78,79,80,81,82,96,103,109,113,114,119,166,167,176,177,
178,191,193,202,203,207,210,212,213,216,221,222,226,231,233,239,242,256,268,
275,278,284,292,298,313,315,324,338,345,349,350,351,352,353,354,359,440,441,
443,444,452,466,474,475,533,536,553,557,558,569,585,588,595,616,618,630,655,
672,673,675,682,683,684,697,733,744,843,852,876,894,902,903,923,1019,1020,
1062,1063,1214],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,40,
41,43,44,45,46,48,49,50,51,52,53,54,55,56,63,65,66,68,69,70,71,72,73,74,75,76,
77,79,87,89,90,91,92,93,94,95,97,98,100,101,102,104,106,107,108,110,111,112,
115,116,122,123,126,127,128,129,131,132,141,143,165,166,170,171,175,179,180,
182,188,189,190,192,193,194,196,197,198,199,201,204,205,206,208,209,211,213,
214,215,216,220,223,224,227,228,229,230,232,234,237,238,240,241,243,244,245,
246,247,248,249,250,251,252,253,254,257,258,259,260,262,264,266,267,270,271,
277,280,283,285,286,299,304,306,308,311,314,318,321,341,357,362,368,378,397,
445,448,449,459,463,467,469,472,481,488,492,493,494,496,500,501,502,504,506,
507,511,520,528,529,531,534,537,538,539,540,543,549,556,559,560,561,562,565,
566,568,572,574,582,590,597,604,605,607,610,611,614,615,617,620,621,632,633,
638,642,643,653,656,658,659,661,662,665,666,667,670,678,679,681,693,838,866,
885,900,908,930,937,941,971,986,987,990,1000,1006,1032,1041,1042,1051,1059,
1215],[1,2,3,4,6,8,9,10,11,12,18,20,21,22,23,28,41,44,45,47,54,65,66,67,71,72,
74,77,78,79,82,96,103,109,114,119,166,167,177,191,198,202,203,204,207,209,210,
213,216,221,222,233,239,256,268,275,278,292,345,349,353,359,441,443,448,474,
475,477,515,553,557,558,569,580,595,608,672,673,675,719,744,854,881,887,894,
902,923,954,1216],[1,2,3,4,5,6,9,10,11,15,17,19,20,21,22,23,30,40,45,47,49,50,
53,65,71,77,78,79,80,82,99,107,109,110,119,129,135,167,178,179,183,188,190,
194,197,200,202,203,204,222,241,249,250,254,256,269,280,317,324,345,349,350,
356,442,450,452,487,500,515,516,535,562,569,600,608,630,663,674,855,877,880,
882,888,911,912,1217],[1,2,3,4,8,9,10,11,13,14,16,45,46,47,48,51,53,56,66,78,
81,136,140,167,175,176,186,187,201,203,272,273,285,300,320,438,446,452,458,
510,578,690,853,879,910,1218],[1,2,3,5,9,10,13,14,16,17,45,47,51,56,62,75,78,
80,81,113,117,119,121,140,167,175,176,203,231,274,285,292,303,320,340,350,354,
446,452,479,490,578,651,655,859,879,945,1219],[1,2,3,5,9,10,13,14,16,17,45,47,
51,56,62,75,80,81,113,117,119,121,140,167,175,176,231,256,274,285,292,303,320,
340,350,354,446,479,490,515,578,651,655,860,879,945,1220],[1,2,3,4,9,10,11,13,
14,16,40,45,47,51,53,56,65,67,79,81,82,136,140,167,175,176,183,191,194,222,
235,255,269,285,300,320,440,442,446,462,473,578,690,858,879,910,1221],[1,2,3,
5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,41,44,45,49,50,56,63,68,70,71,77,90,
92,93,97,100,102,107,110,116,119,122,123,127,128,140,166,171,175,179,190,197,
205,206,208,215,223,227,228,230,234,239,241,244,250,254,256,283,286,292,299,
304,312,320,321,341,347,445,469,474,493,500,501,507,520,543,556,572,578,579,
661,686,689,849,900,953,1058,1079,1222],[1,2,3,5,6,8,9,10,12,13,14,16,17,19,
20,21,22,23,29,41,44,45,50,51,56,61,67,71,75,76,77,78,80,81,91,92,93,94,98,
100,102,112,113,118,139,144,166,174,176,178,189,191,192,193,195,196,203,212,
220,221,226,228,229,231,232,242,245,248,249,252,261,268,283,284,285,309,315,
319,323,335,336,444,475,482,489,496,499,518,519,554,564,566,616,618,638,644,
645,650,683,711,739,852,922,936,978,1086,1223],[1,2,3,4,8,9,10,11,12,13,14,15,
18,20,40,41,44,45,46,48,49,53,54,55,56,65,66,67,68,70,71,78,79,119,165,166,
175,179,180,191,194,198,199,201,203,204,206,208,209,213,221,239,256,264,268,
292,295,296,322,333,445,448,449,462,474,475,510,517,521,622,646,648,649,672,
673,674,676,686,754,849,881,892,923,939,946,949,1224],[1,2,3,5,6,8,9,10,12,13,
14,16,17,19,20,21,22,23,41,44,45,50,51,56,61,71,75,76,77,80,81,91,92,93,94,98,
100,102,112,113,118,119,136,144,166,174,176,178,189,192,193,195,196,212,220,
228,229,231,232,239,242,245,248,249,252,256,261,283,285,292,300,323,335,339,
343,444,474,482,489,490,496,499,509,518,519,554,566,587,638,650,657,690,844,
878,936,1076,1081,1225],[1,2,3,4,5,6,8,9,10,11,15,16,17,19,23,25,28,31,45,46,
47,48,49,50,53,58,66,67,74,75,78,80,81,109,112,113,114,116,117,119,121,124,
130,134,142,167,178,179,186,187,191,201,226,231,235,254,258,263,268,273,276,
278,282,290,292,294,295,296,297,302,313,315,328,332,340,344,349,350,351,352,
353,354,356,370,438,440,450,461,480,495,509,521,522,533,536,550,558,583,595,
609,616,648,655,673,677,692,730,738,749,753,762,768,769,856,883,944,1005,1012,
1020,1026,1050,1091,1226],[1,2,3,4,6,8,9,10,11,12,13,14,16,18,20,21,22,23,24,
40,41,44,45,46,47,48,51,53,54,55,56,57,65,66,71,77,78,79,81,82,91,94,98,101,
104,106,109,111,112,119,142,165,166,167,175,176,177,180,183,184,186,187,194,
199,201,202,203,204,210,213,217,220,222,225,232,233,236,240,245,246,248,249,
250,256,264,266,269,272,273,279,285,291,296,310,322,328,329,338,344,345,346,
348,349,354,438,441,442,446,449,452,454,458,465,478,483,486,487,488,510,515,
544,560,569,581,592,593,596,608,625,638,646,647,649,671,684,691,720,730,765,
767,853,862,882,893,915,931,943,961,965,1013,1052,1227],[1,2,3,5,6,9,10,15,17,
19,23,28,29,45,47,49,50,67,74,78,80,109,114,119,124,134,139,167,178,179,254,
256,268,278,302,313,319,349,352,353,450,461,495,515,536,558,645,851,883,886,
1228],[1,2,3,4,6,8,9,10,11,12,13,14,15,18,20,21,22,23,28,41,44,45,47,49,54,56,
65,66,67,68,70,71,72,74,77,78,79,82,96,103,109,114,119,124,125,131,134,138,
143,166,167,175,177,179,191,198,202,203,204,206,207,208,209,210,213,216,221,
222,233,238,239,249,250,256,268,275,277,278,292,302,305,327,330,337,345,349,
353,358,359,441,443,445,448,461,474,475,484,487,491,540,541,553,557,558,563,
569,577,581,595,600,675,719,744,845,848,887,892,894,902,907,1229],[1,2,3,4,5,
6,8,9,10,11,13,14,15,16,17,19,20,21,22,23,45,46,47,48,49,50,51,53,56,66,67,71,
77,78,80,81,90,92,93,97,100,102,109,119,144,167,175,176,178,179,186,187,191,
201,202,203,204,228,234,249,250,252,254,256,261,262,267,272,273,276,283,285,
286,290,344,346,438,440,446,450,452,458,480,487,510,515,521,530,570,593,615,
646,650,661,662,853,856,875,889,912,913,915,1230],[1,2,3,4,5,6,8,9,10,11,12,
15,17,18,19,20,21,22,23,24,31,40,41,44,45,47,49,50,53,54,57,65,66,71,77,78,79,
80,82,109,116,119,123,126,127,128,130,133,137,141,166,167,177,178,179,183,184,
186,194,202,203,204,210,213,217,222,223,225,227,230,233,243,244,249,250,253,
254,256,265,269,270,282,287,296,297,317,322,324,334,345,348,349,350,356,441,
442,450,452,453,464,471,472,487,497,498,508,515,517,567,569,572,592,600,608,
629,630,647,649,663,674,681,714,738,747,764,835,857,882,888,896,911,943,956,
1048,1060,1071,1231],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,26,27,28,30,31,40,41,44,45,46,48,49,50,51,53,54,55,56,60,61,65,66,69,71,72,
73,74,75,76,77,79,80,81,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100,102,
103,104,106,108,109,110,112,113,114,115,116,118,122,123,126,127,128,129,130,
131,132,133,135,137,141,142,143,144,165,166,173,174,176,178,180,181,188,189,
192,193,194,195,196,197,198,199,200,201,202,205,207,208,211,212,213,215,216,
220,223,227,228,229,230,231,232,234,236,237,238,241,242,243,244,245,246,247,
248,249,250,251,252,254,257,258,260,261,262,264,265,266,267,270,271,275,277,
278,280,283,285,293,297,323,325,326,328,329,332,334,335,357,361,363,365,369,
370,371,372,373,374,375,377,379,388,399,400,401,443,444,449,457,463,467,471,
482,483,485,489,496,499,501,504,506,512,513,514,516,518,519,525,529,530,532,
534,535,537,539,540,542,546,547,548,551,552,554,555,556,559,560,561,566,570,
572,573,576,582,583,584,591,594,599,601,605,612,614,617,621,623,626,627,628,
632,635,638,639,641,650,652,660,666,667,678,681,687,745,760,839,865,890,908,
928,930,936,950,955,962,970,979,988,991,1000,1024,1025,1028,1077,1232],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,30,31,41,44,45,47,
49,50,51,54,56,65,66,69,71,72,73,74,77,79,80,81,82,84,85,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,106,107,109,110,111,112,114,116,118,123,
126,127,128,129,130,131,132,133,135,137,141,142,143,144,166,167,175,176,177,
178,179,181,182,188,190,195,196,197,198,200,202,204,207,209,210,211,213,214,
216,220,222,223,227,228,229,230,232,233,234,236,237,238,240,241,243,244,245,
246,247,248,249,250,252,253,254,261,262,265,266,267,270,271,275,277,278,280,
283,285,286,297,328,329,334,361,362,365,368,369,371,372,375,378,379,397,399,
400,401,441,443,446,448,450,464,471,472,478,483,486,487,488,491,498,499,500,
502,516,530,531,532,535,537,539,540,542,544,549,552,560,562,565,567,568,570,
572,573,576,577,584,591,596,597,601,604,611,612,614,615,620,623,627,629,632,
633,638,639,641,642,650,653,658,659,660,661,662,667,670,678,679,681,687,837,
845,855,867,889,896,931,962,986,990,993,1024,1027,1028,1034,1039,1041,1056,
1067,1233],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,28,
30,31,41,42,44,45,48,49,50,51,54,56,59,60,61,68,70,71,75,76,77,79,80,81,86,87,
89,91,92,93,94,95,96,98,99,100,101,102,103,107,108,111,112,113,114,115,116,
118,122,123,126,127,128,129,130,131,132,133,135,137,142,143,144,164,166,168,
173,174,176,178,182,188,189,190,192,193,195,196,198,199,200,204,205,206,207,
209,210,212,214,215,220,223,227,228,229,230,231,232,236,237,238,240,241,242,
243,244,245,246,247,248,249,250,251,252,253,254,260,261,262,265,267,271,277,
280,283,285,286,299,301,304,316,323,325,326,335,362,363,368,370,371,373,387,
388,395,400,439,444,448,457,464,467,468,469,482,485,486,489,494,496,499,503,
505,513,514,516,518,519,528,529,531,534,537,538,539,542,543,544,546,549,551,
554,555,562,566,567,568,570,572,573,576,577,582,584,591,605,607,610,611,615,
619,620,624,626,627,632,633,635,638,639,650,652,653,656,658,659,665,669,670,
679,842,861,920,921,928,932,936,938,971,977,988,1010,1025,1027,1032,1034,1040,
1041,1070,1234],[1,2,3,5,6,8,9,10,12,15,16,17,19,20,21,22,23,25,26,29,30,41,
44,45,49,50,51,58,60,62,71,75,76,77,80,81,86,99,113,116,117,121,122,123,127,
128,129,135,139,144,145,146,166,173,176,178,188,193,200,205,212,215,218,219,
223,227,230,231,242,244,250,252,254,261,262,263,267,274,280,294,303,309,319,
325,326,336,340,382,383,384,396,444,456,457,467,479,485,513,514,516,522,529,
546,564,570,571,572,644,645,701,703,706,724,748,757,777,833,922,928,1036,1053,
1069,1074,1088,1089,1235],[1,2,3,4,5,6,8,9,10,11,12,16,17,18,19,21,22,23,24,
28,31,40,41,44,45,46,47,48,50,51,53,54,55,57,65,66,67,72,74,75,76,77,78,79,80,
81,82,91,96,103,109,112,113,114,116,119,123,130,133,137,142,165,166,167,176,
177,178,180,183,184,186,187,191,193,194,199,201,202,203,207,210,212,213,216,
217,221,222,225,227,231,232,233,235,236,239,242,255,256,257,258,264,265,268,
269,272,273,275,276,278,279,282,287,290,291,292,293,295,296,297,310,317,322,
324,328,329,332,333,334,338,344,345,346,348,349,350,353,354,356,357,359,370,
388,438,441,442,443,444,449,454,458,463,465,471,473,474,475,480,483,508,512,
545,550,553,558,569,575,583,589,592,593,609,622,625,628,630,636,648,649,652,
655,663,671,675,676,680,682,684,688,691,696,714,720,727,730,733,738,744,745,
746,747,751,753,754,758,759,762,764,765,767,862,865,902,903,906,929,949,956,
964,976,1011,1013,1018,1050,1061,1100,1101,1236],[1,2,3,4,5,8,9,10,11,15,17,
19,29,45,46,47,48,49,50,53,66,67,80,105,120,139,167,178,179,186,187,191,201,
254,276,290,319,331,438,440,450,480,521,598,645,856,886,914,1237],[1,2,3,5,6,
8,9,10,12,15,16,17,19,20,21,22,23,26,29,30,41,44,45,49,50,51,60,71,75,76,77,
80,81,86,99,113,116,119,122,123,127,128,129,135,139,144,166,173,176,178,188,
193,200,205,212,215,223,227,230,231,239,242,244,250,252,254,256,261,262,267,
280,292,309,319,325,326,336,444,457,467,474,485,490,509,513,514,516,529,546,
564,570,572,644,645,844,922,928,1030,1068,1238],[1,2,3,4,5,6,8,9,10,11,12,16,
17,18,19,21,22,23,28,29,31,40,41,44,45,46,48,50,51,53,54,55,65,66,72,74,75,76,
77,79,80,81,91,96,103,109,112,113,114,116,123,130,133,136,137,139,142,165,166,
176,178,180,193,194,199,201,202,207,212,213,216,227,231,232,236,242,257,258,
264,265,275,278,293,297,300,309,319,328,329,332,334,336,339,343,357,370,388,
443,444,449,463,471,483,512,564,583,587,628,644,645,652,657,690,725,745,770,
774,865,878,922,963,1002,1239],[1,2,3,5,6,9,10,15,16,17,19,20,21,22,23,25,29,
30,45,47,49,50,58,71,75,77,80,81,99,107,109,110,113,117,119,121,129,135,139,
145,167,178,179,188,190,197,200,202,204,231,241,249,250,254,263,280,292,294,
319,340,350,354,382,396,450,487,500,509,516,522,535,562,645,655,677,701,748,
855,886,944,1030,1088,1240],[1,2,3,4,5,6,9,10,11,15,16,17,19,23,25,28,31,40,
45,47,49,50,53,58,65,67,74,75,78,79,80,81,82,91,109,113,114,117,119,121,123,
124,130,134,142,167,178,179,183,194,203,222,231,254,255,257,263,268,269,272,
278,282,284,287,290,292,294,298,302,313,315,317,322,329,332,333,334,340,346,
349,350,352,353,354,388,442,450,452,461,495,508,509,517,522,536,557,558,575,
588,589,602,618,622,628,655,672,677,720,727,746,747,750,766,768,857,883,944,
959,996,1018,1019,1021,1065,1241],[1,2,3,6,9,10,13,14,16,23,28,43,45,47,51,52,
56,61,67,74,78,81,109,114,125,138,140,167,170,174,175,176,189,192,268,278,285,
298,320,327,349,351,353,366,398,446,476,482,484,511,558,578,585,709,718,832,
879,901,983,1094,1242],[1,2,3,6,8,9,10,12,13,14,15,16,20,21,22,23,41,43,44,45,
49,51,52,56,67,68,69,70,71,73,77,78,89,90,91,94,95,97,98,112,140,166,170,175,
179,189,191,192,203,206,208,211,214,220,221,224,232,234,245,248,249,259,262,
267,268,271,285,286,312,318,320,347,445,475,476,481,492,494,495,502,504,511,
578,579,617,638,656,662,689,850,941,953,1035,1094,1243],[1,2,3,6,8,9,10,12,13,
14,15,16,20,21,22,23,41,43,44,45,49,51,52,56,68,69,70,71,73,77,89,90,91,94,95,
97,98,105,112,120,166,170,175,179,185,189,192,206,208,211,214,220,224,232,234,
245,248,249,259,262,267,271,281,285,286,288,289,318,331,342,445,455,481,492,
494,502,504,511,598,617,634,637,638,654,656,662,664,668,685,831,941,951,1084,
1092,1244],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,19,20,21,22,23,40,45,47,49,50,
51,53,56,65,71,77,78,79,80,81,82,90,92,93,97,100,102,109,119,144,167,175,176,
178,179,183,194,202,203,204,222,228,234,249,250,252,254,256,261,262,267,269,
282,283,285,286,287,338,345,349,354,442,446,450,452,487,508,515,517,530,569,
570,581,608,615,650,661,662,684,857,859,880,882,889,893,912,1245],[1,2,3,5,6,
8,9,10,12,13,14,15,17,19,20,21,22,23,41,44,45,49,50,56,63,68,70,71,77,90,92,
93,97,100,102,107,110,116,122,123,127,128,140,166,171,175,179,185,190,197,205,
206,208,215,223,227,228,230,234,241,244,250,254,281,283,286,299,304,312,320,
321,341,347,445,455,469,493,500,501,507,520,543,556,572,578,579,661,689,712,
713,731,755,831,900,953,1033,1085,1246],[1,2,3,4,6,8,9,10,11,12,18,20,21,22,
23,28,40,41,44,45,46,48,53,54,55,65,66,67,71,72,74,77,78,79,96,103,109,114,
119,165,166,180,191,194,198,199,201,202,203,204,207,209,213,216,221,239,256,
264,268,275,278,292,295,296,317,322,333,344,346,356,443,448,449,474,475,545,
550,557,589,593,595,622,646,648,649,663,674,676,680,719,754,841,881,887,894,
906,946,949,1247],[1,2,3,5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,41,44,45,49,
50,56,63,67,68,70,71,77,78,90,92,93,97,100,102,105,107,110,116,120,122,123,
127,128,166,171,175,179,190,191,197,203,205,206,208,215,221,223,227,228,230,
234,241,244,250,254,268,283,286,288,289,299,304,321,331,341,342,445,469,475,
476,493,495,500,501,507,520,543,556,572,598,654,661,668,850,900,951,1064,1072,
1248],[1,2,3,4,5,6,9,10,11,13,14,16,17,23,28,31,40,45,47,51,53,56,62,65,67,74,
75,78,79,80,81,82,91,109,113,114,117,119,121,123,125,130,138,142,167,175,176,
183,191,194,222,226,231,235,255,257,268,269,272,274,278,285,287,290,292,298,
303,315,317,322,327,329,332,333,334,340,346,349,350,351,352,353,354,388,440,
442,446,462,473,476,479,484,490,533,558,575,585,589,595,616,622,628,640,651,
655,673,720,727,746,747,750,763,769,858,901,945,984,1016,1018,1020,1055,1066,
1249],[1,2,3,5,6,8,9,10,12,15,16,17,19,20,21,22,23,26,30,41,44,45,49,50,51,60,
67,71,75,76,77,78,80,81,86,99,113,116,122,123,127,128,129,135,136,144,166,173,
176,178,188,191,193,200,203,205,212,215,221,223,226,227,230,231,242,244,250,
252,254,261,262,267,268,280,284,300,315,325,326,339,343,444,457,467,475,485,
513,514,516,529,546,570,572,587,616,618,657,683,690,698,756,852,878,928,1022,
1023,1250],[1,2,3,4,5,8,9,10,11,12,16,17,18,19,20,24,40,41,42,44,45,46,47,48,
50,51,53,54,55,57,59,65,66,67,71,75,76,78,79,80,81,82,83,113,119,126,127,164,
165,166,167,168,172,176,177,178,180,191,193,194,198,199,201,203,204,209,210,
212,213,221,222,223,231,233,235,239,242,243,245,246,255,256,264,268,272,273,
276,282,287,290,292,310,324,338,348,350,354,439,441,444,448,449,453,458,464,
468,470,473,474,475,480,486,505,508,575,580,605,606,608,609,630,636,646,647,
655,674,682,684,688,691,733,836,861,899,903,929,946,954,1052,1057,1071,1083,
1251],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,40,41,44,45,46,48,49,50,
51,53,54,55,56,65,66,67,68,70,71,75,76,78,79,80,81,101,111,113,119,165,166,
175,176,178,179,180,191,193,194,198,199,201,203,204,206,208,209,212,213,220,
221,231,235,239,240,242,244,253,255,256,264,268,272,273,276,282,287,290,292,
444,445,448,449,458,459,472,473,474,475,480,488,506,508,575,586,607,609,636,
646,651,674,677,688,864,866,881,891,892,929,946,1252],[1,2,3,4,5,8,9,10,11,12,
16,17,18,19,20,29,41,42,44,45,48,50,51,54,59,71,75,76,79,80,81,113,126,127,
136,139,164,166,168,176,178,193,198,199,204,209,210,212,223,231,242,243,245,
246,300,309,319,336,339,343,439,444,448,464,468,486,505,564,587,605,644,645,
657,690,861,878,922,969,1007,1253],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,28,41,42,44,45,48,49,50,51,54,56,59,67,68,70,71,72,74,75,76,
77,78,79,80,81,94,96,98,103,104,106,109,113,114,119,126,127,128,141,164,166,
168,175,176,178,179,191,193,198,199,202,203,204,206,207,208,209,210,212,216,
221,223,230,231,239,242,243,245,246,248,256,266,268,270,275,278,292,298,301,
307,313,316,351,352,355,439,443,444,445,448,460,464,468,474,475,478,486,498,
503,505,533,536,561,585,588,605,606,647,651,677,697,719,846,861,876,887,891,
892,899,1254],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,41,44,45,47,49,50,
51,54,56,65,66,68,70,75,76,79,80,81,82,113,119,166,167,175,176,177,178,179,
193,206,208,210,212,213,222,231,233,239,242,256,292,324,338,350,354,441,444,
445,474,477,490,509,515,581,600,630,651,655,677,682,684,686,733,841,844,849,
854,891,903,907,1255],[1,2,3,5,6,9,10,15,17,19,23,28,29,45,47,49,50,67,74,78,
80,109,114,124,134,139,167,178,179,191,254,268,278,302,313,319,349,352,353,
440,450,461,495,536,558,645,847,883,886,1256],[1,2,3,4,6,8,9,10,11,12,13,14,
16,18,20,21,22,23,41,44,45,47,51,54,56,65,66,67,71,77,79,81,82,91,94,98,101,
104,106,109,111,112,119,142,166,167,175,176,177,191,202,204,210,213,220,222,
232,233,236,239,240,245,246,248,249,250,256,266,285,292,295,328,329,333,440,
441,446,474,477,478,483,486,487,488,515,544,560,596,606,638,676,854,860,877,
913,919,931,942,1257],[1,2,3,4,6,9,10,11,20,21,22,23,27,40,45,47,53,65,67,71,
77,78,79,82,84,85,87,88,109,119,132,167,181,182,183,191,194,202,203,204,222,
237,247,249,250,256,269,317,345,349,353,356,359,440,442,452,487,515,569,580,
608,659,660,663,674,675,837,875,880,882,888,917,942,1258],[1,2,3,4,5,6,9,10,
11,13,14,15,16,17,19,20,21,22,23,40,45,47,49,50,51,53,56,65,67,71,77,79,80,81,
82,90,92,93,97,100,102,109,119,144,167,175,176,178,179,183,191,194,202,204,
222,228,234,235,249,250,252,254,255,256,261,262,267,269,283,285,286,324,350,
353,359,440,442,446,450,462,473,487,515,530,570,580,600,615,630,650,661,662,
675,847,858,889,911,913,917,942,1259],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,19,
20,21,22,23,40,45,47,49,50,51,53,56,65,71,77,79,80,81,82,90,92,93,97,100,102,
109,119,144,167,175,176,178,179,183,194,202,204,222,228,234,249,250,252,254,
256,261,262,267,269,283,285,286,317,324,338,350,354,356,442,446,450,487,515,
530,570,581,600,615,630,650,661,662,663,674,684,851,860,877,888,889,893,911,
1260],[1,2,3,4,8,9,10,11,12,13,14,15,18,20,24,40,41,44,45,46,47,48,49,53,54,
55,56,57,65,66,67,68,70,71,78,79,82,101,111,119,165,166,167,175,177,179,180,
183,184,186,187,191,194,198,199,201,203,204,206,208,209,210,213,217,220,221,
222,225,233,239,240,244,253,256,264,268,269,279,291,292,295,296,310,322,333,
348,438,441,442,445,448,449,454,459,462,465,472,474,475,488,506,510,517,521,
580,581,592,600,607,608,622,625,646,648,649,671,674,676,691,754,862,866,907,
939,946,949,954,961,994,1014,1060,1261],[1,2,3,5,9,10,13,14,16,17,43,45,47,51,
52,56,61,62,75,80,81,113,117,119,121,136,167,170,174,175,176,189,192,231,274,
285,292,300,303,340,350,354,386,393,446,479,482,490,511,651,655,690,710,735,
832,910,945,1037,1076,1262],[1,2,3,4,6,8,9,10,11,12,13,14,16,18,20,21,22,23,
24,40,41,44,45,47,51,53,54,56,57,65,66,67,71,77,79,81,82,91,94,98,101,104,106,
109,111,112,119,142,166,167,175,176,177,183,184,186,191,194,202,204,210,213,
217,220,222,225,232,233,235,236,240,245,246,248,249,250,255,256,266,269,285,
295,317,328,329,333,338,348,353,354,356,359,440,441,442,446,453,462,473,478,
483,486,487,488,497,515,544,560,580,581,592,596,606,638,663,674,675,676,684,
696,727,751,753,835,858,888,893,917,919,931,964,994,1029,1057,1263],[1,2,3,4,
5,6,8,9,10,11,12,15,17,18,19,20,21,22,23,31,41,44,45,47,49,50,54,65,66,71,77,
78,79,80,82,109,116,119,123,126,127,128,130,133,137,141,166,167,177,178,179,
202,203,204,210,213,222,223,227,230,233,239,243,244,249,250,253,254,256,265,
270,292,296,297,322,334,441,450,452,464,471,472,474,477,487,498,515,567,572,
629,647,649,681,851,854,877,880,896,912,943,1264],[1,2,3,4,8,9,10,11,12,13,14,
15,18,20,41,44,45,47,49,54,56,65,66,67,68,70,71,78,79,82,119,166,167,175,177,
179,191,198,203,204,206,208,209,210,213,221,222,233,239,256,268,292,440,441,
445,448,452,466,474,475,476,495,580,581,600,608,672,673,843,850,881,892,907,
923,954,1265],[1,2,3,4,5,6,8,9,10,11,12,15,17,18,19,20,21,22,23,24,31,40,41,
44,45,46,47,48,49,50,53,54,55,57,65,66,67,71,77,79,80,82,109,116,119,123,126,
127,128,130,133,137,141,165,166,167,177,178,179,180,183,184,186,187,191,194,
199,201,202,204,210,213,217,222,223,225,227,230,233,243,244,249,250,253,254,
256,264,265,269,270,276,279,290,291,295,297,310,324,333,334,344,346,348,350,
353,359,438,440,441,442,449,450,454,464,465,471,472,480,487,498,515,521,567,
572,580,592,593,600,606,625,629,630,646,671,675,676,681,691,746,758,759,762,
856,862,896,911,915,917,919,976,1014,1047,1083,1266],[1,2,3,4,6,8,9,10,11,12,
13,14,15,18,21,22,23,24,28,40,41,42,44,45,46,47,48,49,53,54,55,56,57,59,65,66,
67,68,70,72,74,77,78,79,82,83,94,96,98,103,104,106,109,114,119,128,141,164,
165,166,167,168,172,175,177,179,180,191,194,199,201,202,203,206,207,208,210,
213,216,221,222,230,233,239,248,256,264,266,268,270,275,278,292,301,307,310,
316,317,344,345,346,348,349,353,355,356,359,439,441,443,445,449,453,460,462,
470,474,475,478,498,503,510,517,521,545,550,553,558,561,569,581,589,593,600,
606,647,663,675,680,691,744,836,846,899,902,906,907,939,965,1029,1047,1048,
1267],[1,2,3,5,6,9,10,13,14,16,17,20,21,22,23,45,47,51,56,62,69,71,73,75,77,
80,81,89,95,109,113,117,118,119,121,136,167,175,176,195,196,202,204,211,214,
229,231,249,250,271,274,285,292,300,303,340,350,354,392,403,446,479,487,490,
499,502,651,655,658,687,690,704,716,867,910,945,1073,1081,1268],[1,2,3,4,5,6,
8,9,10,11,12,15,17,18,19,20,21,22,23,31,41,44,45,47,49,50,54,65,66,67,71,77,
78,79,80,82,109,116,119,123,126,127,128,130,133,137,141,166,167,177,178,179,
191,202,203,204,210,213,221,222,223,227,230,233,243,244,249,250,253,254,256,
265,268,270,295,297,333,334,440,441,450,452,464,466,471,472,475,487,498,515,
567,572,606,629,676,681,843,847,875,896,912,919,942,1269],[1,2,3,4,6,8,9,10,
11,12,13,14,16,18,20,21,22,23,41,44,45,47,51,54,56,65,66,67,71,77,78,79,81,82,
91,94,98,101,104,106,109,111,112,119,142,166,167,175,176,177,191,202,203,204,
210,213,220,221,222,232,233,236,240,245,246,248,249,250,256,266,268,285,296,
322,328,329,440,441,446,452,466,475,478,483,486,487,488,515,544,560,596,638,
647,649,843,859,875,880,913,931,943,1270],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,26,27,28,30,31,41,43,44,45,48,49,50,51,52,53,54,55,
56,57,59,60,65,66,68,69,70,71,72,73,74,75,76,77,79,80,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,106,107,108,109,110,111,112,
113,114,115,116,118,122,123,126,127,128,129,130,131,132,133,135,137,141,142,
143,144,168,170,172,173,175,177,178,180,181,182,188,189,190,192,193,195,196,
197,198,199,200,202,204,205,206,207,208,209,210,211,212,213,214,215,216,220,
223,224,227,228,229,230,232,234,236,237,238,240,241,243,244,245,246,247,248,
249,250,251,252,253,254,259,260,261,262,265,266,267,270,271,277,280,283,285,
286,293,297,299,304,306,307,308,310,311,314,318,325,326,332,334,348,355,361,
362,363,365,368,369,370,371,372,373,374,375,377,378,379,380,385,387,388,395,
397,399,400,401,447,457,459,460,464,468,469,470,471,478,481,485,488,491,492,
496,501,502,511,512,513,516,518,528,529,530,531,532,535,537,538,539,540,542,
543,544,546,547,548,549,551,552,554,555,556,559,560,561,562,565,566,567,568,
574,576,577,582,584,590,591,594,596,597,599,601,604,605,607,610,611,612,613,
614,615,617,619,620,621,623,624,626,627,629,631,633,639,641,642,643,650,652,
653,656,658,659,660,661,665,666,669,678,679,681,687,694,732,734,775,776,869,
885,890,895,921,924,925,948,955,962,970,972,974,977,981,982,989,990,1006,1010,
1025,1027,1032,1039,1042,1043,1056,1059,1067,1077,1271],[1,2,3,4,5,6,9,11,12,
13,14,16,17,18,19,20,21,22,23,25,26,29,31,41,50,51,54,56,58,59,60,62,71,77,86,
92,93,94,98,100,101,102,108,111,113,115,117,118,121,126,127,129,130,133,136,
137,139,143,146,168,173,188,189,195,209,212,214,223,228,240,243,246,247,248,
252,260,265,277,280,283,294,300,303,319,363,373,383,384,387,392,395,403,456,
468,485,518,531,564,586,587,620,624,626,627,665,703,704,710,748,872,921,995,
998,1007,1036,1046,1272],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,20,21,22,
23,25,26,29,30,31,45,49,50,54,56,58,60,71,75,77,80,81,82,86,90,92,93,97,99,
100,102,108,113,115,117,119,121,122,126,129,130,133,135,137,139,141,145,146,
173,175,177,178,188,200,205,215,228,231,234,243,250,253,254,260,263,265,270,
280,283,286,292,294,319,324,338,340,363,373,374,377,382,383,384,396,447,457,
509,516,522,538,548,590,626,629,645,651,661,682,701,703,724,748,916,925,952,
1030,1068,1069,1088,1273],[1,2,3,6,9,12,13,14,15,21,22,23,27,28,41,42,43,49,
52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,103,105,110,114,120,124,125,
128,134,138,140,164,170,171,181,185,197,206,207,211,224,230,234,248,259,281,
288,289,301,302,305,312,316,318,320,321,327,330,331,337,341,342,347,358,364,
366,369,376,381,391,394,398,401,402,455,492,503,520,524,526,563,612,634,637,
654,664,685,689,702,709,715,717,721,722,723,726,731,740,741,742,743,752,755,
761,772,840,868,1004,1008,1078,1084,1085,1102,1104,1105,1108,1274],[1,2,3,4,5,
6,9,11,12,15,16,17,18,19,20,21,22,23,25,29,30,41,49,50,51,54,58,59,61,62,71,
77,99,107,113,117,121,126,128,131,135,136,139,142,145,168,174,190,196,200,209,
212,215,229,230,236,238,243,245,246,247,251,252,253,262,267,294,300,303,319,
382,386,393,396,456,468,489,514,528,564,586,587,619,633,635,639,670,701,716,
724,735,872,920,997,1007,1031,1053,1095,1275],[1,2,3,6,8,9,10,13,14,15,20,23,
28,40,43,44,46,49,52,56,63,71,72,87,105,107,109,114,119,120,124,125,134,138,
140,165,170,171,182,190,198,208,214,220,239,244,275,286,302,317,320,327,331,
344,364,366,367,389,394,398,481,493,506,541,545,579,668,679,686,700,709,715,
719,729,838,973,999,1015,1079,1080,1082,1276],[1,2,3,4,5,6,8,9,10,11,13,14,16,
17,18,19,20,21,22,23,25,26,29,30,31,44,50,51,53,54,55,56,58,60,62,67,69,71,72,
73,74,75,76,77,78,80,81,86,92,93,99,100,102,104,106,108,113,115,116,117,121,
123,126,129,130,132,133,135,136,137,139,142,143,144,145,146,173,180,189,193,
196,200,211,216,218,219,220,221,226,227,228,235,236,237,242,243,260,261,263,
265,266,272,274,277,280,282,283,284,290,293,294,298,300,303,309,313,315,319,
325,326,332,336,339,340,343,351,352,361,363,373,375,382,383,384,396,496,512,
513,547,559,571,584,623,626,636,644,657,678,683,697,698,701,703,706,710,716,
756,757,763,766,768,769,774,777,890,963,966,978,1023,1054,1089,1277],[1,2,3,5,
9,12,16,17,19,20,25,26,29,41,42,50,51,58,60,61,62,71,86,87,113,117,121,127,
136,139,146,164,173,174,182,188,196,209,212,223,245,252,294,300,303,319,383,
384,386,393,456,485,489,505,564,568,586,587,703,716,735,748,842,874,969,995,
997,1036,1095,1278],[1,2,3,4,6,8,9,10,11,13,14,15,16,18,20,21,22,23,28,44,49,
51,53,54,55,56,63,69,71,72,73,77,91,101,105,107,109,111,112,114,119,120,124,
125,131,134,138,140,141,171,180,190,192,196,198,208,211,232,238,239,240,241,
244,246,247,251,253,262,267,270,275,286,302,320,327,331,346,356,364,367,389,
391,394,402,459,493,504,541,565,579,610,621,632,633,668,680,686,693,700,702,
715,718,719,937,957,992,1001,1015,1079,1087,1279],[1,2,3,4,5,6,9,11,12,13,14,
15,17,18,19,20,21,22,23,28,30,31,41,43,49,50,52,54,56,59,68,69,70,71,73,77,89,
90,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,111,114,115,
120,122,124,125,127,130,132,133,134,135,137,138,140,141,143,168,170,185,190,
200,205,206,207,211,223,224,228,234,237,240,248,259,260,265,266,270,271,277,
281,283,288,289,299,302,304,305,306,307,308,311,312,314,318,320,327,330,331,
337,342,347,355,358,360,361,366,367,371,374,375,377,378,387,389,390,391,395,
397,398,400,402,455,460,469,492,527,542,548,563,574,604,623,624,634,637,654,
664,685,689,695,699,700,702,705,707,709,712,713,721,722,723,726,728,732,734,
736,771,775,873,895,975,1033,1078,1084,1090,1098,1099,1103,1107,1280],[1,2,3,
4,5,9,10,11,13,14,17,18,19,24,29,45,47,50,53,54,56,57,65,79,80,82,108,115,119,
139,140,175,177,178,222,225,256,260,269,319,320,324,348,350,447,477,497,578,
581,630,645,904,916,933,1281],[1,2,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,21,
22,23,24,31,40,41,44,45,46,47,48,50,53,54,55,56,57,59,64,65,66,67,71,77,78,79,
80,82,83,94,98,101,104,106,108,109,111,115,116,119,123,126,127,130,131,133,
137,143,168,169,172,175,177,178,180,183,184,186,187,191,194,199,201,202,203,
204,210,213,217,220,222,223,225,227,233,238,240,243,248,256,260,264,265,266,
269,276,277,279,282,287,290,291,295,296,297,310,317,322,324,333,334,344,345,
346,348,349,350,353,356,359,380,385,387,395,447,453,462,464,465,466,470,471,
477,478,480,488,491,497,508,510,523,559,569,580,581,582,592,593,606,608,624,
625,630,631,646,647,649,663,671,674,675,676,691,714,738,746,747,758,759,762,
764,870,924,927,933,956,961,965,968,976,994,1029,1038,1045,1071,1083,1282],[1,
2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,30,31,41,44,
45,48,49,50,51,53,54,55,56,57,59,61,63,65,66,68,69,70,71,72,73,74,75,76,77,79,
81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,106,
107,108,109,110,111,112,113,114,115,116,118,122,123,126,127,128,129,130,131,
132,133,135,137,141,142,143,144,168,171,172,174,176,177,179,180,181,182,188,
189,190,192,193,195,196,197,198,199,200,202,204,205,206,207,208,209,210,211,
212,213,214,215,216,220,223,227,228,229,230,232,234,236,237,238,240,241,243,
244,245,246,247,248,249,250,251,252,253,254,260,261,262,265,266,267,270,271,
277,280,283,285,286,293,307,310,321,323,328,329,332,335,341,348,355,361,362,
365,368,369,370,372,374,375,377,378,379,380,385,387,388,395,397,399,401,451,
459,460,467,468,470,472,482,483,486,489,491,493,494,498,499,500,504,507,512,
514,519,520,528,529,530,532,534,535,537,538,540,543,544,546,547,548,549,551,
552,554,555,556,559,560,561,562,565,566,567,568,570,573,576,577,584,590,591,
594,596,597,599,601,604,605,607,610,611,612,613,614,615,617,619,620,621,623,
624,627,629,631,632,633,635,639,641,642,643,652,653,656,658,659,660,662,665,
666,667,669,670,679,681,687,693,871,884,897,905,918,920,937,950,970,971,972,
974,977,979,982,986,987,988,989,991,993,1028,1034,1039,1040,1043,1049,1051,
1056,1059,1283],[1,2,3,4,5,6,8,9,10,11,13,14,15,17,18,19,20,21,22,23,28,43,44,
49,50,52,53,54,55,56,71,72,77,89,92,93,95,100,101,102,104,105,106,108,109,110,
111,114,115,116,119,120,122,123,124,125,126,134,138,140,143,170,180,188,197,
198,205,208,214,220,227,228,239,240,243,247,253,260,266,271,275,277,283,286,
302,306,308,311,314,320,327,331,346,356,360,366,376,381,390,398,459,481,501,
538,539,541,559,574,579,620,642,668,680,686,699,709,719,729,741,885,957,985,
992,999,1058,1080,1284],[1,2,3,4,5,6,8,9,10,11,15,16,17,18,23,24,28,31,40,45,
46,48,49,51,53,54,55,57,62,65,66,67,74,75,78,79,80,81,82,91,109,112,113,114,
116,117,119,121,123,124,130,134,142,176,177,179,184,191,194,201,203,225,226,
231,235,251,255,257,258,268,272,273,274,276,278,279,282,284,287,290,291,292,
295,296,297,298,302,303,310,313,315,317,322,324,328,329,332,333,334,338,340,
344,345,346,351,352,356,359,370,388,451,458,461,465,466,473,479,490,495,517,
521,533,550,553,557,575,583,585,588,589,595,603,609,616,618,622,628,640,648,
672,673,677,682,696,714,749,750,751,758,759,763,764,765,766,767,769,898,909,
940,959,967,1005,1011,1016,1017,1021,1055,1061,1062,1063,1091,1285],[1,2,3,4,
5,6,9,10,11,13,14,15,16,17,18,20,21,22,23,45,49,51,54,56,61,62,71,75,77,80,81,
82,90,97,101,104,106,111,113,117,118,119,121,136,142,174,176,177,179,189,192,
195,196,229,231,234,236,240,246,249,251,262,266,267,274,285,286,292,300,303,
324,338,340,386,392,393,403,451,479,482,490,499,596,599,610,635,643,662,677,
682,690,704,710,716,735,905,909,947,1037,1073,1076,1081,1286],[1,2,3,5,6,9,12,
13,14,15,16,17,19,20,21,22,23,25,28,29,30,41,42,49,50,51,56,58,62,68,70,71,77,
89,92,94,95,96,98,99,102,103,113,114,117,118,121,127,128,132,135,136,139,145,
164,189,195,200,206,207,209,212,215,223,228,230,237,241,245,248,267,271,286,
294,300,301,303,316,319,371,382,392,396,400,403,456,503,505,514,518,542,543,
564,573,586,587,653,656,701,704,710,724,874,932,969,998,1031,1046,1053,1287],[
1,2,3,5,6,8,9,10,16,17,19,21,22,23,25,26,27,29,30,40,44,46,50,51,58,60,61,62,
67,72,74,75,76,77,78,80,81,84,85,86,88,91,99,112,113,116,117,118,121,123,135,
136,139,144,145,146,165,173,174,181,193,195,200,216,218,219,221,226,227,232,
242,255,257,258,261,263,273,274,276,284,287,294,298,300,303,309,313,315,319,
323,325,326,335,336,339,340,343,351,352,357,379,382,383,384,386,392,393,396,
399,403,463,513,519,525,571,602,603,640,641,644,657,683,688,692,697,698,701,
703,704,706,708,711,725,735,737,739,749,750,756,757,760,770,773,777,839,1002,
1009,1023,1075,1086,1089,1096,1097,1106,1109,1288],[1,2,3,5,6,8,9,10,13,14,15,
16,17,19,20,21,22,23,28,40,44,46,49,50,51,56,69,71,72,73,74,75,76,77,91,92,
102,105,109,110,112,114,116,119,120,122,123,124,125,129,132,134,138,140,165,
192,193,197,198,205,208,211,216,220,227,228,229,232,237,239,244,252,257,258,
267,275,280,302,317,320,327,331,344,357,360,376,381,390,391,402,463,501,504,
506,529,537,541,545,566,579,667,668,678,686,699,702,718,719,741,908,973,985,
1001,1058,1082,1087,1289],[1,2,3,5,6,9,12,13,14,15,16,17,19,20,21,22,23,28,41,
42,49,50,51,56,68,70,71,77,93,94,96,98,100,103,105,107,113,114,120,122,124,
125,127,128,129,134,138,140,144,164,185,190,192,205,206,207,209,212,214,223,
229,230,245,247,248,261,262,280,281,283,288,289,299,301,302,304,305,312,316,
320,327,330,331,337,342,347,358,360,367,389,390,455,469,494,503,505,524,531,
546,554,563,576,654,670,689,695,699,700,705,712,713,718,729,742,743,752,771,
868,938,975,980,1008,1033,1092,1290],[1,2,3,4,5,6,9,10,11,15,16,17,18,19,20,
21,22,23,28,31,45,49,50,51,54,63,67,71,74,77,78,81,82,105,107,109,110,114,120,
122,124,126,130,133,134,137,141,144,171,176,177,179,190,197,205,215,241,243,
250,251,252,253,254,261,262,265,267,268,270,278,298,302,331,345,351,359,360,
364,367,376,381,389,390,394,451,461,495,500,507,528,553,555,570,585,594,598,
629,693,699,700,715,741,897,898,934,1003,1044,1064,1072,1291],[1,2,3,4,6,9,11,
12,13,14,15,16,18,20,21,22,23,28,41,49,51,54,56,59,63,68,70,71,77,90,96,97,
103,104,105,106,110,114,118,120,124,125,128,131,132,134,138,140,141,142,168,
171,185,192,195,197,206,207,214,230,234,236,237,238,241,245,251,253,262,266,
267,270,281,288,289,302,305,307,312,320,321,327,330,331,337,341,342,347,355,
358,364,376,381,394,455,460,494,520,527,532,563,573,597,599,619,654,689,693,
707,715,717,718,728,729,731,736,741,755,761,772,873,884,980,1004,1085,1090,
1092,1292],[1,2,3,4,9,10,11,15,16,18,24,45,47,49,51,53,54,57,65,79,81,82,105,
119,120,136,176,177,179,222,225,251,256,269,300,331,338,348,354,451,477,497,
598,600,684,690,934,935,947,1293],[1,2,3,4,5,6,9,10,11,13,14,16,17,18,19,20,
21,22,23,28,43,45,50,51,52,54,56,67,69,71,73,74,77,78,80,82,89,92,93,95,100,
101,102,104,106,108,109,111,114,115,125,138,140,142,144,170,175,177,178,189,
192,211,214,228,236,240,246,249,252,260,261,266,268,271,278,283,285,306,308,
311,313,314,320,327,345,352,359,366,391,398,402,447,476,484,502,511,536,547,
551,553,574,578,596,650,665,702,709,718,729,904,926,948,960,983,1035,1094,
1294],[1,2,3,4,5,6,8,9,10,11,13,14,16,17,18,19,23,24,25,28,31,40,45,46,48,50,
53,54,55,56,57,58,65,66,67,74,75,78,79,80,81,82,91,108,109,112,113,114,115,
116,117,119,121,123,125,130,138,142,175,177,178,184,191,194,201,203,225,226,
231,235,255,257,258,260,263,268,272,273,276,278,279,282,284,287,290,291,292,
294,295,296,297,298,310,313,315,317,322,324,327,328,329,332,333,334,338,340,
344,345,346,351,352,356,359,370,388,447,462,465,466,476,480,484,508,509,510,
522,533,536,550,553,557,575,583,588,589,595,602,609,616,618,622,628,648,651,
672,673,682,692,696,714,749,750,751,758,759,764,765,766,767,768,769,926,927,
952,958,984,996,1011,1012,1026,1061,1062,1063,1065,1066,1093,1295],[1,2,3,5,6,
8,9,10,13,14,15,16,17,19,20,21,22,23,25,29,40,44,46,49,50,51,56,58,62,67,71,
72,74,75,76,77,78,80,81,89,90,91,93,95,97,100,112,113,116,117,121,123,136,139,
165,188,189,193,196,198,208,215,216,218,219,220,221,226,227,232,234,241,242,
244,247,255,257,258,262,263,271,273,274,276,283,284,287,294,298,300,303,309,
313,315,319,336,339,340,343,351,352,357,463,467,496,506,539,556,571,602,603,
614,617,632,640,644,657,683,688,692,697,710,716,724,725,748,749,750,770,930,
978,1002,1022,1054,1074,1075,1296],[1,2,3,4,5,6,8,9,10,11,15,16,17,18,19,20,
21,22,23,25,29,31,44,49,50,51,53,54,55,58,61,62,67,71,72,74,75,76,77,78,80,81,
91,110,112,113,117,118,121,130,131,132,133,136,137,139,141,142,144,174,180,
188,193,195,197,215,216,218,219,221,226,229,232,235,236,237,238,242,244,246,
251,261,262,263,265,267,270,272,274,282,284,290,293,294,298,300,303,309,313,
315,319,323,332,335,336,339,340,343,351,352,386,392,393,403,467,512,519,532,
571,591,594,621,635,636,644,657,667,683,697,704,708,711,724,735,737,739,748,
763,766,768,769,773,774,950,963,966,1009,1022,1074,1086,1297],[1,2,3,4,6,8,9,
10,11,12,15,16,18,20,21,22,23,24,40,41,44,45,46,47,48,49,51,53,54,55,57,59,64,
65,66,67,71,77,78,79,81,82,83,91,109,112,119,128,131,141,142,143,168,169,172,
176,177,179,180,183,184,186,187,191,194,199,201,202,203,204,210,213,217,222,
225,230,232,233,235,236,238,244,245,246,251,253,255,256,264,269,270,272,273,
277,279,291,295,296,310,317,322,328,329,333,338,344,345,346,348,349,353,354,
356,359,451,453,458,465,466,470,472,473,477,483,486,491,497,498,517,521,523,
534,569,580,592,593,600,606,608,613,619,621,625,646,647,649,663,671,674,675,
676,684,691,696,720,727,730,751,753,765,767,870,918,935,940,964,968,1013,1014,
1038,1045,1047,1048,1052,1057,1060,1298],[1,3,7,12,37,39,42,147,404,415,830,
1299],[1,5,7,25,26,29,35,39,146,149,150,404,422,423,1300],[1,4,7,24,38,39,64,
148,404,431,829,1301],[1,2,3,6,7,9,12,13,14,15,21,22,23,28,32,37,41,42,49,56,
68,70,77,94,96,98,103,114,124,125,128,134,138,147,151,164,185,206,207,230,248,
281,301,302,305,316,327,330,337,358,408,415,455,503,524,563,743,779,787,868,
1113,1120,1302],[1,2,3,5,7,9,12,16,17,19,20,25,26,29,32,35,41,50,51,58,60,62,
71,86,113,117,121,127,139,146,147,149,156,173,188,212,223,252,294,303,319,383,
384,408,412,414,416,422,456,485,564,703,748,783,809,1036,1111,1303],[1,2,3,4,
5,7,9,10,11,12,17,18,19,20,24,32,35,40,41,45,47,50,53,54,57,65,71,78,79,80,82,
119,126,127,147,148,156,178,194,203,204,210,222,223,243,256,282,287,324,348,
350,407,408,409,410,412,453,464,508,608,630,647,674,783,788,798,1071,1110,
1304],[1,2,3,4,7,8,9,10,11,12,18,24,32,40,41,44,45,47,53,54,57,65,66,79,82,
147,148,158,166,167,177,183,184,186,194,210,213,217,222,225,233,269,348,407,
408,409,410,441,442,453,497,592,781,794,797,818,835,1110,1305],[1,2,3,4,7,9,
10,11,12,16,18,20,24,32,40,41,45,47,51,53,54,57,65,67,71,79,81,82,119,147,148,
157,176,191,194,204,210,222,235,245,246,255,256,338,348,354,407,408,409,410,
453,473,486,580,606,674,684,789,790,791,1057,1110,1306],[1,2,3,5,7,9,12,16,17,
19,20,25,32,37,41,42,50,51,58,62,71,113,117,121,127,147,149,151,164,209,212,
223,245,294,303,408,414,415,416,456,505,586,787,874,1111,1307],[1,2,3,7,8,9,
10,12,13,14,15,32,41,44,45,49,56,68,70,147,158,166,175,179,185,206,208,281,
408,445,455,779,781,831,1113,1308],[1,2,3,4,6,7,9,10,11,12,13,14,18,21,22,23,
24,32,33,34,40,41,45,47,53,54,56,57,65,67,77,79,82,94,98,104,106,109,119,147,
148,154,175,191,194,202,210,222,248,256,266,317,348,353,356,359,405,406,407,
408,409,410,453,462,478,581,606,663,675,782,793,800,1029,1110,1309],[1,2,3,7,
9,12,13,14,15,16,20,32,41,49,51,56,68,70,71,105,120,147,157,185,192,206,214,
245,262,281,288,289,331,342,408,455,494,654,779,790,1092,1113,1310],[1,2,3,5,
6,7,9,12,15,16,17,19,21,22,23,25,29,30,32,36,41,49,50,51,58,62,77,99,113,117,
121,128,135,139,145,147,149,152,200,212,215,230,267,294,303,319,382,396,408,
414,416,419,430,456,514,564,701,724,786,816,1053,1111,1311],[1,2,3,5,7,9,12,
16,17,19,20,25,32,41,50,51,58,61,62,71,113,117,121,136,147,149,157,174,196,
212,245,252,294,300,303,386,393,408,414,416,456,489,587,716,735,790,823,997,
1111,1312],[1,2,3,5,7,9,10,15,17,19,26,32,37,45,47,49,50,60,63,80,86,122,150,
151,167,171,173,178,179,205,215,254,407,413,420,433,450,457,507,784,804,806,
834,1313],[1,2,3,4,6,7,9,10,11,12,15,18,21,22,23,24,32,36,40,41,45,47,49,53,
54,57,65,77,78,79,82,109,119,128,141,147,148,152,179,194,202,203,210,222,230,
256,270,317,345,348,349,356,407,408,409,410,419,453,498,517,569,600,647,663,
785,786,799,1048,1110,1314],[1,2,3,4,6,7,9,11,12,13,14,15,18,21,22,23,28,32,
38,41,49,54,56,59,68,70,77,96,103,104,106,114,124,125,134,138,141,147,155,168,
185,206,207,266,270,281,302,305,307,327,330,337,355,358,408,411,455,460,527,
563,728,779,780,873,1113,1116,1315],[1,2,3,4,7,8,9,10,11,12,18,24,32,37,40,41,
42,44,45,46,47,48,53,54,55,57,59,65,66,79,82,83,147,148,151,164,165,166,167,
168,172,177,180,194,199,201,210,213,222,233,264,310,348,407,408,409,410,415,
427,439,441,449,453,470,691,784,787,792,803,836,1110,1316],[1,2,3,4,7,8,9,10,
11,12,18,24,32,38,40,41,44,45,46,47,48,53,54,55,57,59,64,65,66,79,82,83,147,
148,155,168,169,172,177,180,183,184,186,187,194,199,201,210,213,217,222,225,
233,264,269,279,291,310,348,407,408,409,410,411,431,453,465,470,497,523,592,
625,671,691,780,795,796,820,870,1110,1317],[1,2,3,5,7,8,9,10,12,16,17,19,25,
32,41,44,45,50,51,58,62,75,76,80,81,113,117,121,147,149,158,166,176,178,193,
212,218,219,231,242,263,274,294,303,340,408,414,416,444,456,479,522,571,781,
819,824,833,1111,1318],[1,2,3,4,5,7,9,11,12,16,17,18,19,20,25,32,38,41,50,51,
54,58,59,62,71,113,117,121,126,147,149,155,168,209,212,243,246,294,303,408,
411,414,416,456,468,586,780,872,1111,1319],[1,2,3,6,7,9,12,13,14,15,21,22,23,
32,36,41,49,56,63,68,70,77,90,97,110,128,140,147,152,171,185,197,206,230,234,
281,312,320,321,341,347,408,419,455,520,689,731,755,779,786,1085,1113,1117,
1320],[1,2,3,7,9,10,13,14,16,32,37,43,45,47,51,52,56,61,81,151,167,170,174,
175,176,189,192,285,407,417,418,446,482,511,784,807,811,832,1321],[1,2,3,5,6,
7,9,12,13,14,16,17,19,21,22,23,25,32,33,34,41,50,51,56,58,62,77,92,94,98,102,
113,117,118,121,136,147,149,154,189,195,212,228,248,294,300,303,392,403,405,
406,408,414,416,456,518,587,704,710,782,822,998,1111,1322],[1,2,3,6,7,9,12,13,
14,15,21,22,23,32,33,34,41,43,49,52,56,68,69,70,73,77,90,94,97,98,105,120,147,
154,170,185,206,211,224,234,248,259,281,288,289,318,331,342,405,406,408,455,
492,634,637,654,664,685,779,782,1084,1112,1113,1114,1323],[1,2,3,5,7,9,12,13,
14,15,17,19,20,32,35,41,49,50,56,68,70,71,93,100,107,122,127,140,147,156,185,
190,205,206,223,281,283,299,304,312,320,347,408,412,455,469,689,712,713,779,
783,1033,1113,1119,1324],[1,2,3,5,6,7,8,9,10,16,17,19,21,22,23,26,27,30,32,37,
40,44,46,50,51,60,61,72,74,75,76,77,84,85,86,88,91,99,112,116,118,123,135,144,
150,151,153,165,173,174,181,193,195,200,216,227,232,257,258,261,323,325,326,
335,357,379,399,409,413,417,424,428,432,433,463,513,519,525,641,760,792,806,
811,827,839,1115,1325],[1,2,3,6,7,9,12,13,14,15,21,22,23,27,28,32,37,41,42,43,
49,52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,103,110,114,128,147,151,
153,164,170,171,181,197,206,207,211,224,230,234,248,259,301,316,318,321,341,
369,401,408,415,418,420,424,428,432,492,503,520,526,612,740,787,804,807,827,
840,1118,1326],[1,2,3,6,7,9,10,20,21,22,23,27,32,37,45,47,71,77,84,85,87,88,
109,132,151,153,167,181,182,202,204,237,247,249,250,407,421,424,428,432,487,
659,660,784,827,828,837,1327],[1,2,3,7,8,9,10,12,32,41,44,45,119,147,158,166,
239,256,292,408,474,781,841,1328],[1,3,4,5,6,7,12,13,14,15,18,19,20,21,22,28,
30,31,34,35,38,52,59,68,69,90,92,93,94,95,101,103,104,105,107,108,122,127,132,
134,135,137,138,140,141,143,147,160,185,259,288,304,306,347,355,358,360,361,
367,374,387,397,398,400,402,406,411,412,527,634,705,707,712,721,732,779,802,
1098,1112,1116,1119,1329],[1,2,5,6,7,10,16,17,23,25,26,27,29,30,32,35,40,58,
60,61,74,75,78,80,85,91,99,117,118,123,136,139,144,145,146,150,153,156,257,
263,284,287,309,313,323,325,343,382,383,386,399,403,409,413,417,423,428,525,
602,698,708,725,739,757,788,808,821,1096,1115,1330],[1,2,3,5,7,9,12,16,17,19,
20,26,32,37,41,42,50,51,60,61,71,86,87,113,127,147,150,151,164,173,174,182,
188,196,209,212,223,245,252,408,413,415,417,421,433,485,489,505,568,787,806,
811,828,842,1331],[1,3,6,7,12,13,14,15,21,27,28,34,36,37,42,43,63,68,69,70,88,
94,96,97,98,105,110,124,125,128,134,138,140,147,153,162,224,281,288,301,305,
312,316,321,337,366,381,394,401,402,406,415,418,419,420,432,526,664,717,723,
743,752,755,805,815,825,1104,1118,1332],[1,2,3,7,8,9,10,13,14,15,20,32,37,40,
43,44,46,49,52,56,63,71,87,107,151,165,170,171,182,190,198,208,214,220,244,
286,409,418,420,421,481,493,506,679,792,804,807,828,838,1333],[1,3,6,7,12,14,
15,21,27,28,33,36,37,42,43,63,68,69,88,96,97,98,110,120,124,128,138,140,147,
153,161,185,224,289,312,316,321,337,364,366,376,401,402,405,415,418,419,420,
432,524,526,637,723,731,742,761,812,814,817,1102,1118,1334],[1,3,4,5,6,7,12,
14,15,18,19,20,21,22,28,30,31,33,35,38,43,59,68,69,89,93,97,98,102,103,104,
107,111,115,120,122,127,132,134,135,137,138,140,141,143,147,159,185,224,289,
304,308,347,355,358,361,366,371,377,378,389,390,391,395,405,411,412,527,637,
695,712,726,734,736,779,801,1107,1114,1116,1119,1335],[1,3,6,7,12,13,14,15,21,
27,28,34,36,37,42,52,63,68,69,70,73,88,90,94,96,97,98,105,110,124,128,138,140,
147,162,185,259,288,301,312,316,318,321,337,341,369,381,391,394,398,401,406,
415,419,524,634,717,722,731,740,752,779,815,1105,1112,1117,1120,1336],[1,3,6,
7,12,14,15,21,27,28,33,36,37,42,43,63,68,69,88,96,97,98,110,120,124,128,138,
140,147,161,185,224,289,312,316,321,337,364,366,376,401,402,405,415,419,524,
526,637,723,731,742,761,779,812,1102,1114,1117,1120,1337],[1,2,5,6,7,10,16,17,
23,26,27,29,30,32,40,60,61,62,67,74,75,81,85,91,99,118,121,123,136,139,144,
150,153,157,226,255,257,274,309,323,325,343,351,384,392,393,396,399,409,413,
417,428,525,640,706,711,725,737,756,789,810,813,1097,1115,1338],[1,2,3,4,5,6,
7,8,9,10,11,16,17,23,28,31,32,33,34,35,36,37,38,40,44,46,47,48,55,65,66,67,72,
76,78,79,80,81,82,91,109,112,113,114,116,119,123,130,142,151,152,154,155,156,
157,158,159,160,161,162,165,183,184,187,221,233,239,242,255,264,273,275,276,
279,287,293,295,296,297,317,322,324,328,329,333,334,338,344,345,349,350,353,
354,357,359,370,388,409,425,426,429,434,435,436,437,454,545,688,714,727,730,
733,744,745,747,751,754,758,762,765,788,789,792,794,796,799,800,826,1100,1130,
1134,1136,1137,1139,1140,1141,1339],[1,2,3,4,5,6,7,8,9,10,11,16,17,23,28,31,
32,33,34,35,36,37,38,45,46,47,48,53,66,67,74,75,78,80,81,109,112,113,114,116,
119,130,142,151,152,154,155,156,157,158,159,160,161,162,167,186,187,201,231,
235,258,268,273,276,278,282,292,295,296,297,328,332,344,349,350,353,354,356,
370,407,425,426,429,434,435,436,437,438,550,558,583,609,648,655,730,738,753,
762,784,785,791,793,795,797,798,826,1050,1126,1129,1131,1132,1135,1138,1142,
1340],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,28,31,32,
33,34,35,36,37,38,41,42,44,45,48,49,50,51,54,56,59,68,70,71,77,79,91,94,96,98,
101,103,108,111,112,113,114,115,116,123,127,128,130,131,133,137,142,143,147,
151,152,154,155,156,157,158,159,160,161,162,164,166,168,199,206,207,209,210,
212,220,223,227,230,232,236,238,240,244,245,248,249,250,251,253,254,260,265,
277,285,301,316,370,387,388,395,405,406,408,411,412,415,419,425,426,429,434,
435,436,437,439,503,505,534,544,567,572,577,582,607,619,624,638,652,669,780,
781,782,783,786,787,790,801,802,812,815,826,1070,1121,1122,1123,1125,1127,
1128,1133,1341],[1,2,3,4,6,7,9,11,15,16,18,20,21,22,23,24,27,32,37,49,51,54,
57,61,63,71,77,83,84,85,87,88,141,142,143,148,151,153,171,172,174,181,182,229,
236,241,246,251,253,262,267,270,277,410,417,420,421,424,427,428,432,601,611,
613,635,693,803,804,811,827,828,871,1342],[1,2,3,4,5,6,7,9,11,13,14,17,18,19,
20,21,22,23,24,26,27,31,32,37,43,50,52,54,56,57,60,71,77,83,84,85,86,87,88,89,
92,93,95,100,101,102,104,106,108,111,115,126,129,130,131,133,137,148,150,151,
153,170,172,173,181,182,228,238,240,243,260,265,266,271,280,283,306,308,311,
314,362,363,365,368,372,373,380,385,410,413,418,421,424,427,428,432,433,549,
552,574,626,631,694,776,803,806,807,827,828,869,1124,1343],[1,2,3,4,5,8,9,10,
11,12,13,14,15,16,17,18,19,24,25,40,41,44,45,47,49,50,51,53,54,56,57,58,62,65,
66,68,70,75,76,79,80,81,82,108,113,115,117,119,121,166,167,175,176,177,178,
179,183,184,185,186,193,194,206,208,210,212,213,217,218,219,222,225,231,233,
239,242,251,254,256,260,263,269,274,281,285,292,294,303,324,338,340,348,350,
354,441,442,444,445,446,447,450,451,453,455,456,474,477,479,490,497,509,515,
522,571,581,592,600,630,651,655,666,669,677,682,684,686,733,831,833,835,841,
844,849,854,863,891,893,903,907,909,911,933,935,944,945,952,1162,1184,1185,
1255,1344],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,
27,28,30,31,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,
65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,106,107,108,109,110,111,112,113,114,
115,116,118,122,123,126,127,128,129,130,131,132,133,135,137,141,142,143,144,
164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,181,182,188,
189,190,192,193,194,195,196,197,198,199,200,201,202,204,205,206,207,208,209,
210,211,212,213,214,215,216,220,222,223,224,227,228,229,230,231,232,233,234,
236,237,238,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,257,
258,259,260,261,262,264,265,266,267,270,271,275,277,278,280,283,285,286,293,
297,299,301,304,306,307,308,310,311,314,316,318,321,323,325,326,328,329,332,
334,335,341,348,355,357,361,362,363,365,368,369,370,371,372,373,374,375,377,
378,379,380,385,387,388,395,397,399,400,401,439,441,443,444,445,446,447,448,
449,450,451,453,457,459,460,463,464,467,468,469,470,471,472,478,481,482,483,
485,486,487,488,489,491,492,493,494,496,498,499,500,501,502,503,504,505,506,
507,511,512,513,514,516,518,519,520,525,526,528,529,530,531,532,534,535,537,
538,539,540,542,543,544,546,547,548,549,551,552,554,555,556,559,560,561,562,
565,566,567,568,570,572,573,574,576,577,582,583,584,590,591,594,596,597,599,
601,604,605,607,610,611,612,613,614,615,617,619,620,621,623,624,626,627,628,
629,631,632,633,635,638,639,641,642,643,650,652,653,656,658,659,660,661,662,
665,666,667,669,670,678,679,681,687,691,693,694,732,734,740,745,760,775,776,
832,834,836,837,838,839,840,842,845,846,855,861,863,865,866,867,869,871,884,
885,889,890,895,896,897,900,905,908,918,920,921,924,925,928,930,931,932,936,
937,938,941,948,950,955,962,970,971,972,974,977,979,981,982,986,987,988,989,
990,991,993,1000,1006,1010,1024,1025,1027,1028,1032,1034,1039,1040,1041,1042,
1043,1049,1051,1056,1059,1067,1070,1077,1174,1176,1182,1202,1215,1232,1233,
1234,1271,1283,1345],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,28,41,43,44,45,47,49,50,51,52,54,56,61,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,89,90,91,92,93,94,95,96,97,98,100,101,102,103,104,106,108,
109,111,112,113,114,115,118,124,125,134,138,140,142,144,166,167,170,174,175,
176,177,178,179,189,191,192,193,195,196,202,203,204,206,207,208,210,211,212,
213,214,216,220,221,222,224,228,229,231,232,233,234,236,240,242,245,246,248,
249,250,251,252,254,259,260,261,262,266,267,268,271,275,278,283,285,286,298,
302,305,306,308,311,312,313,314,318,320,323,327,328,329,330,335,337,345,347,
349,351,352,353,358,359,366,391,398,402,441,443,444,445,446,447,450,451,461,
475,476,478,481,482,483,484,486,487,488,489,492,494,495,496,499,502,504,511,
518,519,530,533,536,541,544,547,551,553,554,558,560,563,566,569,570,574,578,
579,585,588,596,599,610,615,617,635,638,643,650,656,658,661,662,665,666,669,
675,687,689,697,702,709,718,721,722,723,726,729,744,832,848,850,863,867,876,
879,883,889,898,901,902,904,905,926,931,936,941,948,953,960,979,980,981,983,
999,1001,1006,1035,1040,1078,1094,1164,1176,1179,1206,1213,1242,1243,1294,
1346],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,29,41,43,44,
45,47,49,50,51,52,54,56,61,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,89,
90,91,92,93,94,95,97,98,100,101,102,104,106,108,109,111,112,113,115,118,139,
142,144,166,167,170,174,175,176,177,178,179,189,191,192,193,195,196,198,202,
203,204,206,208,209,210,211,212,213,214,220,221,222,224,226,228,229,231,232,
233,234,236,240,242,245,246,248,249,250,251,252,254,259,260,261,262,266,267,
268,271,283,284,285,286,306,308,309,311,314,315,318,319,323,328,329,335,336,
441,444,445,446,447,448,450,451,475,478,481,482,483,486,487,488,489,492,494,
496,499,502,504,511,518,519,530,544,547,551,554,560,564,566,570,574,580,586,
596,599,608,610,615,616,617,618,635,638,643,644,645,650,656,658,661,662,665,
666,669,683,687,711,739,832,852,863,864,867,886,889,892,905,916,922,931,936,
941,948,954,978,979,981,1006,1040,1046,1086,1095,1175,1176,1188,1192,1223,
1347],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,40,41,43,
44,45,47,49,50,51,52,53,54,56,57,61,65,66,67,68,69,70,71,73,75,76,77,79,80,81,
82,89,90,91,92,93,94,95,97,98,100,101,102,104,106,108,109,111,112,113,115,118,
119,142,144,166,167,170,174,175,176,177,178,179,183,184,186,189,191,192,193,
194,195,196,202,204,206,208,210,211,212,213,214,217,220,222,224,225,228,229,
231,232,233,234,235,236,239,240,242,245,246,248,249,250,251,252,254,255,256,
259,260,261,262,266,267,269,271,283,285,286,292,295,306,308,311,314,317,318,
323,324,328,329,333,335,338,348,350,353,354,356,359,440,441,442,444,445,446,
447,450,451,453,462,473,474,477,478,481,482,483,486,487,488,489,492,494,496,
497,499,502,504,511,515,518,519,530,544,547,551,554,560,566,570,574,580,581,
592,596,599,600,606,610,615,617,630,635,638,643,650,655,656,658,661,662,663,
665,666,669,674,675,676,682,684,687,696,727,733,751,753,832,835,847,851,854,
858,860,863,867,877,888,889,893,903,905,907,911,913,917,919,931,933,935,936,
941,942,948,964,979,981,994,1006,1029,1040,1057,1176,1180,1185,1186,1212,1257,
1259,1260,1263,1348],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,25,26,29,30,31,41,44,45,47,49,50,51,54,56,58,60,62,63,65,66,68,70,71,75,76,
77,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,110,113,115,116,117,119,
121,122,123,126,127,128,129,130,133,135,137,139,141,144,145,146,166,167,171,
173,175,176,177,178,179,188,190,193,197,200,202,204,205,206,208,210,212,213,
215,218,219,222,223,227,228,230,231,233,234,239,241,242,243,244,249,250,251,
252,253,254,256,260,261,262,263,265,267,270,274,280,283,285,286,292,294,297,
299,303,304,309,319,321,324,325,326,334,336,338,340,341,350,354,363,373,374,
377,382,383,384,396,441,444,445,446,447,450,451,456,457,464,467,469,471,472,
474,479,485,487,490,493,498,500,501,507,509,513,514,516,520,522,528,529,530,
535,538,543,546,548,555,556,562,564,567,570,571,572,590,594,615,626,629,630,
644,645,650,651,655,661,662,666,669,677,681,682,684,693,701,703,706,724,733,
748,757,777,833,834,844,855,863,886,889,891,896,897,900,903,909,916,922,925,
928,944,945,952,955,1010,1030,1036,1049,1051,1053,1068,1069,1074,1088,1089,
1182,1184,1188,1190,1235,1238,1240,1273,1349],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,26,30,31,41,44,45,47,49,50,51,54,56,60,63,65,66,67,
68,70,71,75,76,77,78,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,110,
113,115,116,122,123,126,127,128,129,130,133,135,136,137,141,144,166,167,171,
173,175,176,177,178,179,188,190,191,193,197,198,200,202,203,204,205,206,208,
209,210,212,213,215,221,222,223,226,227,228,230,231,233,234,241,242,243,244,
249,250,251,252,253,254,260,261,262,265,267,268,270,280,283,284,285,286,297,
299,300,304,315,321,325,326,334,339,341,343,363,373,374,377,441,444,445,446,
447,448,450,451,457,464,467,469,471,472,475,485,487,493,498,500,501,507,513,
514,516,520,528,529,530,535,538,543,546,548,555,556,562,567,570,572,580,586,
587,590,594,608,615,616,618,626,629,650,657,661,662,666,669,681,683,690,693,
698,756,834,852,855,863,864,878,889,892,896,897,900,910,925,928,947,954,955,
995,1010,1022,1023,1031,1049,1051,1169,1175,1182,1197,1250,1350],[1,2,3,4,5,6,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,40,41,44,45,47,49,50,51,
53,54,56,57,65,66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,96,103,108,109,
113,114,115,119,124,125,131,134,138,143,166,167,175,176,177,178,179,183,184,
186,191,193,194,198,202,203,204,206,207,208,209,210,212,213,216,217,221,222,
225,226,231,233,238,239,242,249,250,251,254,256,260,268,269,275,277,278,284,
285,292,298,302,305,313,315,324,327,330,337,338,345,348,349,350,351,352,353,
354,358,359,440,441,442,443,444,445,446,447,448,450,451,452,453,461,466,474,
475,476,477,484,487,491,495,497,515,533,536,540,541,553,557,558,563,569,577,
580,581,585,586,588,592,595,600,608,616,618,630,655,666,669,672,673,675,682,
683,684,697,719,733,744,835,843,845,848,850,852,854,863,864,876,881,882,883,
887,892,893,894,898,901,902,903,907,911,917,923,926,933,935,954,1019,1020,
1038,1062,1063,1164,1166,1175,1185,1195,1214,1216,1229,1265,1351],[1,2,3,4,5,
6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,28,29,41,44,45,47,49,50,51,54,56,
65,66,67,68,70,72,74,75,76,77,78,79,80,81,82,96,103,108,109,113,114,115,119,
124,125,134,138,139,166,167,175,176,177,178,179,191,193,202,203,206,207,208,
210,212,213,216,221,222,231,233,242,251,254,256,260,268,275,278,285,295,298,
302,305,309,313,319,327,330,333,336,337,345,349,351,352,353,358,359,440,441,
443,444,445,446,447,450,451,461,475,476,484,495,515,533,536,541,553,558,563,
564,569,585,588,606,644,645,666,669,675,676,697,744,847,848,850,851,863,876,
883,886,898,901,902,913,916,919,922,926,1164,1180,1188,1228,1256,1352],[1,2,3,
4,5,8,9,10,11,12,13,14,15,16,17,18,19,25,41,44,45,47,49,50,51,54,56,58,62,65,
66,68,70,75,76,78,79,80,81,82,108,113,115,117,119,121,140,166,167,175,176,177,
178,179,193,203,206,208,210,212,213,218,219,222,231,233,239,242,251,254,256,
260,263,274,285,292,294,296,303,312,320,322,324,338,340,347,350,354,441,444,
445,446,447,450,451,452,456,474,479,490,509,515,522,571,578,579,630,647,649,
651,655,666,669,677,682,684,689,733,833,844,859,860,863,879,891,903,904,909,
912,943,944,945,952,953,1178,1179,1184,1219,1220,1353],[1,2,3,4,5,6,8,9,10,11,
12,13,14,15,16,17,18,19,21,22,23,24,25,28,31,40,41,44,45,46,47,48,49,50,51,53,
54,55,56,57,58,62,65,66,67,68,70,72,74,75,76,77,78,79,80,81,82,91,96,103,108,
109,112,113,114,115,116,117,119,121,123,124,125,130,133,134,137,138,142,165,
166,167,175,176,177,178,179,180,183,184,186,187,191,193,194,199,201,202,203,
206,207,208,210,212,213,216,217,218,219,221,222,225,226,227,231,232,233,235,
236,239,242,251,254,255,256,257,258,260,263,264,265,268,269,272,273,274,275,
276,278,279,282,284,285,287,290,291,292,293,294,295,296,297,298,302,303,305,
310,313,315,317,322,324,327,328,329,330,332,333,334,337,338,340,344,345,346,
348,349,350,351,352,353,354,356,357,358,359,370,388,438,440,441,442,443,444,
445,446,447,449,450,451,452,454,456,458,461,462,463,465,466,471,473,474,475,
476,479,480,483,484,490,495,508,509,510,512,517,521,522,533,536,541,545,550,
553,557,558,563,569,571,575,583,585,588,589,592,593,595,602,603,609,616,618,
622,625,628,630,636,640,648,649,651,652,655,663,666,669,671,672,673,675,676,
677,680,682,683,684,688,691,692,696,697,714,720,727,730,733,738,744,745,746,
747,749,750,751,753,754,758,759,762,763,764,765,766,767,768,769,833,843,844,
848,850,852,853,856,857,858,862,863,865,876,883,891,894,898,901,902,903,906,
909,923,926,927,929,939,940,944,945,949,952,956,958,959,964,966,967,976,984,
996,1005,1011,1012,1013,1016,1017,1018,1019,1020,1021,1026,1050,1055,1061,
1062,1063,1065,1066,1075,1091,1093,1100,1101,1164,1170,1184,1187,1191,1196,
1201,1203,1214,1226,1236,1241,1249,1285,1295,1354],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,26,28,30,31,41,44,45,47,49,50,51,54,56,60,63,
65,66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,86,90,92,93,96,97,99,100,102,
103,105,107,108,109,110,113,114,115,116,120,122,123,124,125,126,127,128,129,
130,133,134,135,137,138,141,144,166,167,171,173,175,176,177,178,179,188,190,
191,193,197,200,202,203,204,205,206,207,208,210,212,213,215,216,221,222,223,
227,228,230,231,233,234,241,242,243,244,249,250,251,252,253,254,260,261,262,
265,267,268,270,275,278,280,283,285,286,288,289,297,298,299,302,304,305,313,
321,325,326,327,330,331,334,337,341,342,345,349,351,352,353,358,359,360,363,
364,367,373,374,376,377,381,389,390,394,441,443,444,445,446,447,450,451,457,
461,464,467,469,471,472,475,476,484,485,487,493,495,498,500,501,507,513,514,
516,520,528,529,530,533,535,536,538,541,543,546,548,553,555,556,558,562,563,
567,569,570,572,585,588,590,594,598,615,626,629,650,654,661,662,666,668,669,
675,681,693,695,697,699,700,705,715,717,741,744,761,771,772,834,848,850,855,
863,876,883,889,896,897,898,900,901,902,914,925,926,928,934,951,955,975,985,
1003,1004,1010,1015,1044,1049,1051,1064,1072,1164,1168,1182,1189,1194,1211,
1248,1291,1355],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
28,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,64,65,66,67,68,70,71,
72,74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,
113,114,115,116,119,123,126,127,128,130,131,133,137,141,142,143,164,165,166,
167,168,169,172,175,176,177,178,179,180,183,184,186,187,191,193,194,198,199,
201,202,203,204,206,207,208,209,210,212,213,216,217,220,221,222,223,225,227,
230,231,232,233,235,236,238,239,240,242,243,244,245,246,248,249,250,251,253,
254,255,256,257,258,260,264,265,266,268,269,270,272,273,275,276,277,278,279,
282,285,287,290,291,292,293,295,296,297,301,307,310,316,317,322,324,328,329,
332,333,334,338,344,345,346,348,349,350,353,354,355,356,357,359,370,380,385,
387,388,395,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,458,459,460,462,463,464,465,466,468,470,471,472,473,474,475,477,478,480,
483,486,487,488,491,497,498,503,505,506,508,510,512,515,517,521,523,534,540,
544,545,550,553,558,559,560,561,567,569,572,575,577,580,581,582,583,589,592,
593,596,600,605,606,607,608,609,613,619,621,622,624,625,628,629,630,631,636,
638,646,647,648,649,652,655,663,666,669,671,674,675,676,680,681,682,684,688,
691,696,714,720,727,730,733,738,744,745,746,747,751,753,754,758,759,762,764,
765,767,835,836,843,845,846,853,854,856,857,858,861,862,863,865,866,870,882,
888,893,896,899,902,903,906,907,911,915,917,918,919,924,927,929,931,933,935,
939,940,943,946,949,954,956,961,964,965,968,976,989,994,1000,1011,1013,1014,
1018,1029,1038,1043,1045,1047,1048,1050,1052,1057,1060,1061,1070,1071,1083,
1100,1101,1152,1166,1167,1171,1174,1185,1187,1227,1231,1236,1251,1261,1263,
1266,1267,1282,1298,1356],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,61,65,66,67,68,
69,70,71,73,75,76,77,78,79,80,81,82,89,90,91,92,93,94,95,97,98,100,101,102,
104,106,108,109,111,112,113,115,118,119,142,144,165,166,167,170,174,175,176,
177,178,179,180,183,184,186,187,189,191,192,193,194,195,196,199,201,202,203,
204,206,208,210,211,212,213,214,217,220,221,222,224,225,228,229,231,232,233,
234,235,236,240,242,245,246,248,249,250,251,252,254,255,256,259,260,261,262,
264,266,267,268,269,271,272,273,276,279,282,283,285,286,287,290,291,296,306,
308,310,311,314,318,322,323,328,329,335,338,344,345,346,348,349,354,438,440,
441,442,444,445,446,447,449,450,451,452,454,458,462,465,466,473,475,478,480,
481,482,483,486,487,488,489,492,494,496,499,502,504,508,510,511,515,517,518,
519,521,530,544,547,551,554,560,566,569,570,574,575,581,592,593,596,599,608,
609,610,615,617,625,635,636,638,643,646,647,649,650,656,658,661,662,665,666,
669,671,684,687,688,691,720,730,765,767,832,843,853,856,857,858,859,860,862,
863,867,875,880,882,889,893,905,912,913,915,927,929,931,936,939,940,941,943,
948,961,965,979,981,1006,1013,1040,1052,1153,1172,1176,1178,1183,1186,1187,
1227,1230,1245,1270,1357],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,25,41,43,44,45,47,49,50,51,52,54,56,58,61,62,65,66,68,69,70,71,73,75,
76,77,79,80,81,82,89,90,91,92,93,94,95,97,98,100,101,102,104,106,108,109,111,
112,113,115,117,118,119,121,136,142,144,166,167,170,174,175,176,177,178,179,
189,192,193,195,196,202,204,206,208,210,211,212,213,214,218,219,220,222,224,
228,229,231,232,233,234,236,239,240,242,245,246,248,249,250,251,252,254,256,
259,260,261,262,263,266,267,271,274,283,285,286,292,294,300,303,306,308,311,
314,318,323,324,328,329,335,338,339,340,343,350,354,386,392,393,403,441,444,
445,446,447,450,451,456,474,478,479,481,482,483,486,487,488,489,490,492,494,
496,499,502,504,509,511,518,519,522,530,544,547,551,554,560,566,570,571,574,
587,596,599,610,615,617,630,635,638,643,650,651,655,656,657,658,661,662,665,
666,669,677,682,684,687,690,704,708,710,716,733,735,737,773,832,833,844,863,
867,878,889,891,903,905,909,910,931,936,941,944,945,947,948,952,979,981,997,
998,1006,1009,1037,1040,1054,1073,1076,1081,1169,1176,1184,1209,1225,1262,
1268,1286,1358],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
28,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,67,68,70,71,72,
74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,
114,115,116,119,123,124,125,126,127,128,130,131,133,134,137,138,141,142,143,
164,165,166,167,168,172,175,176,177,178,179,180,185,191,193,194,198,199,201,
202,203,204,206,207,208,209,210,212,213,216,220,221,222,223,227,230,231,232,
233,236,238,239,240,242,243,244,245,246,248,249,250,251,253,254,256,257,258,
260,264,265,266,268,270,275,277,278,281,285,292,293,297,298,301,302,305,307,
310,313,316,317,327,328,329,330,332,334,337,344,345,346,348,349,351,352,353,
355,356,357,358,359,370,380,385,387,388,395,439,441,443,444,445,446,447,448,
449,450,451,453,455,459,460,461,462,463,464,468,470,471,472,474,475,476,478,
483,484,486,487,488,491,495,498,503,505,506,510,512,517,521,524,527,533,534,
536,540,541,544,545,550,553,557,558,559,560,561,563,567,569,572,577,581,582,
583,585,588,589,593,595,596,600,605,606,607,613,619,621,624,628,629,631,638,
647,651,652,663,666,669,675,677,680,681,686,691,697,719,728,743,744,745,831,
836,845,846,848,849,850,861,863,865,866,868,873,876,883,887,891,892,894,896,
898,899,901,902,906,907,918,924,926,931,939,957,958,965,973,984,989,1000,1005,
1021,1029,1043,1047,1048,1070,1156,1159,1162,1164,1165,1174,1177,1201,1229,
1254,1267,1359],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
28,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,67,68,70,71,72,
74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,
114,115,116,119,123,126,127,128,130,131,133,137,141,142,143,164,165,166,167,
168,172,175,176,177,178,179,180,191,193,194,198,199,201,202,203,204,206,207,
208,209,210,212,213,216,220,221,222,223,227,230,231,232,233,236,238,239,240,
242,243,244,245,246,248,249,250,251,253,254,256,257,258,260,264,265,266,268,
270,275,277,278,285,292,293,295,296,297,301,307,310,316,322,328,329,332,333,
334,348,355,357,370,380,385,387,388,395,439,440,441,443,444,445,446,447,448,
449,450,451,452,453,459,460,463,464,466,468,470,471,472,474,475,477,478,483,
486,487,488,491,498,503,505,506,512,515,534,540,544,559,560,561,567,572,577,
582,583,596,605,606,607,613,619,621,622,624,628,629,631,638,647,648,649,652,
666,669,676,681,691,745,754,836,843,845,846,847,851,854,859,860,861,863,865,
866,875,877,880,896,899,912,913,918,919,924,931,942,943,949,989,1000,1043,
1045,1070,1171,1174,1178,1180,1208,1257,1264,1269,1270,1360],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,41,43,44,45,47,49,50,51,52,54,56,61,
65,66,68,69,70,71,73,75,76,77,79,80,81,82,89,90,91,92,93,94,95,97,98,100,101,
102,104,105,106,108,109,111,112,113,115,118,119,120,142,144,166,167,170,174,
175,176,177,178,179,185,189,192,193,195,196,202,204,206,208,210,211,212,213,
214,220,222,224,228,229,231,232,233,234,236,239,240,242,245,246,248,249,250,
251,252,254,256,259,260,261,262,266,267,271,281,283,285,286,288,289,292,306,
308,311,314,318,323,328,329,331,335,342,441,444,445,446,447,450,451,455,474,
478,481,482,483,486,487,488,489,492,494,496,499,502,504,511,518,519,530,544,
547,551,554,560,566,570,574,581,596,598,599,600,610,615,617,634,635,637,638,
643,650,651,654,656,658,661,662,664,665,666,668,669,677,685,686,687,831,832,
849,863,867,889,891,905,907,914,931,934,936,941,948,951,979,981,1006,1040,
1080,1084,1087,1092,1162,1168,1176,1205,1244,1361],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,24,29,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,65,66,67,
68,70,75,76,78,79,80,81,82,105,108,113,115,120,139,165,166,167,175,176,177,
178,179,180,183,184,186,187,191,193,194,199,201,203,206,208,210,212,213,217,
221,222,225,231,233,235,242,251,254,255,260,264,268,269,272,273,276,279,282,
285,287,288,289,290,291,309,310,319,331,336,342,348,438,440,441,442,444,445,
446,447,449,450,451,452,454,458,462,465,466,473,475,480,508,510,517,521,564,
575,592,598,609,625,636,644,645,654,666,668,669,671,688,691,843,853,856,857,
858,862,863,886,914,916,922,927,929,934,939,940,951,1168,1187,1188,1210,1237,
1362],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,31,40,
41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,68,70,71,72,74,75,76,77,
79,80,81,82,83,91,94,96,98,101,103,104,105,106,108,109,111,112,113,114,115,
116,120,123,126,127,128,130,131,133,137,140,141,142,143,164,165,166,167,168,
172,175,176,177,178,179,180,193,194,198,199,201,202,204,206,207,208,209,210,
212,213,216,220,222,223,227,230,231,232,233,236,238,240,242,243,244,245,246,
248,249,250,251,253,254,257,258,260,264,265,266,270,275,277,278,285,288,289,
293,297,301,307,310,312,316,320,328,329,331,332,334,342,347,348,355,357,370,
380,385,387,388,395,439,441,443,444,445,446,447,448,449,450,451,453,459,460,
463,464,468,470,471,472,478,483,486,487,488,491,498,503,505,506,512,534,540,
544,559,560,561,567,572,577,578,579,582,583,596,598,605,607,613,619,621,624,
628,629,631,638,652,654,666,668,669,681,689,691,707,736,742,745,752,836,845,
846,861,863,865,866,879,896,904,914,918,924,931,934,951,953,989,992,1000,1008,
1043,1070,1082,1090,1168,1174,1179,1193,1204,1363],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,26,30,31,41,44,45,47,49,50,51,54,56,60,63,65,
66,68,70,71,75,76,77,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,110,
113,115,116,119,122,123,126,127,128,129,130,133,135,137,140,141,144,166,167,
171,173,175,176,177,178,179,185,188,190,193,197,200,202,204,205,206,208,210,
212,213,215,222,223,227,228,230,231,233,234,239,241,242,243,244,249,250,251,
252,253,254,256,260,261,262,265,267,270,280,281,283,285,286,292,297,299,304,
312,320,321,325,326,334,341,347,363,373,374,377,441,444,445,446,447,450,451,
455,457,464,467,469,471,472,474,485,487,493,498,500,501,507,513,514,516,520,
528,529,530,535,538,543,546,548,555,556,562,567,570,572,578,579,581,590,594,
600,615,626,629,650,651,661,662,666,669,677,681,686,689,693,712,713,731,755,
831,834,849,855,863,879,889,891,896,897,900,904,907,925,928,953,955,1010,1033,
1049,1051,1058,1079,1085,1162,1179,1182,1222,1246,1364],[1,2,3,4,5,8,9,10,11,
12,13,14,15,16,17,18,19,24,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,65,66,
67,68,70,75,76,78,79,80,81,82,108,113,115,136,140,165,166,167,175,176,177,178,
179,180,183,184,186,187,191,193,194,199,201,203,206,208,210,212,213,217,221,
222,225,231,233,235,242,251,254,255,260,264,268,269,272,273,276,279,282,285,
287,290,291,300,310,312,320,339,343,347,348,438,440,441,442,444,445,446,447,
449,450,451,452,454,458,462,465,466,473,475,480,508,510,517,521,575,578,579,
587,592,609,625,636,657,666,669,671,688,689,690,691,843,853,856,857,858,862,
863,878,879,904,910,927,929,939,940,947,953,1169,1179,1187,1218,1221,1365],[1,
2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,28,41,44,45,47,49,50,51,
54,56,65,66,67,68,70,72,74,75,76,77,78,79,80,81,82,96,103,108,109,113,114,115,
119,124,125,134,136,138,166,167,175,176,177,178,179,191,193,202,203,206,207,
208,210,212,213,216,221,222,231,233,242,251,254,256,260,268,275,278,285,296,
298,300,302,305,313,322,327,330,337,339,343,345,349,351,352,353,358,359,441,
443,444,445,446,447,450,451,452,461,475,476,484,495,515,533,536,541,553,558,
563,569,585,587,588,647,649,657,666,669,675,690,697,744,848,850,859,860,863,
876,878,883,898,901,902,910,912,926,943,947,1164,1169,1178,1199,1200,1366],[1,
2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,29,41,44,45,47,49,50,51,54,56,65,66,
68,70,75,76,78,79,80,81,82,108,113,115,119,139,166,167,175,176,177,178,179,
185,193,203,206,208,210,212,213,222,231,233,239,242,251,254,256,260,281,285,
292,296,309,319,322,336,441,444,445,446,447,450,451,452,455,474,515,564,581,
600,644,645,647,649,651,666,669,677,686,831,849,859,860,863,886,891,907,912,
916,922,943,1162,1178,1188,1367],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,
24,29,40,41,44,45,47,49,50,51,53,54,56,57,65,66,68,70,75,76,79,80,81,82,108,
113,115,119,139,140,166,167,175,176,177,178,179,183,184,186,193,194,206,208,
210,212,213,217,222,225,231,233,239,242,251,254,256,260,269,285,292,309,312,
319,320,324,336,338,347,348,350,354,441,442,444,445,446,447,450,451,453,474,
477,497,515,564,578,579,581,592,600,630,644,645,655,666,669,682,684,689,733,
835,854,863,879,886,893,903,904,907,911,916,922,933,935,953,1179,1185,1188,
1281,1368],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,
30,31,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,60,63,65,66,67,68,70,71,75,
76,77,78,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,110,113,115,116,
119,122,123,126,127,128,129,130,133,135,137,141,144,165,166,167,171,173,175,
176,177,178,179,180,183,184,186,187,188,190,191,193,194,197,199,200,201,202,
203,204,205,206,208,210,212,213,215,217,221,222,223,225,227,228,230,231,233,
234,235,241,242,243,244,249,250,251,252,253,254,255,256,260,261,262,264,265,
267,268,269,270,272,273,276,279,280,282,283,285,286,287,290,291,295,297,299,
304,310,321,324,325,326,333,334,341,344,346,348,350,353,359,363,373,374,377,
438,440,441,442,444,445,446,447,449,450,451,452,454,457,458,462,464,465,466,
467,469,471,472,473,475,480,485,487,493,498,500,501,507,508,510,513,514,515,
516,517,520,521,528,529,530,535,538,543,546,548,555,556,562,567,570,572,575,
580,590,592,593,594,600,606,609,615,625,626,629,630,636,646,650,661,662,666,
669,671,675,676,681,688,691,693,746,758,759,762,834,843,847,851,853,855,856,
857,858,862,863,875,889,896,897,900,911,912,913,915,917,919,925,927,928,929,
939,940,942,955,976,1010,1014,1047,1049,1051,1083,1154,1163,1173,1180,1181,
1182,1187,1230,1259,1266,1269,1369],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,28,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,
58,59,62,65,66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,
103,104,106,108,109,111,112,113,114,115,116,117,119,121,123,126,127,128,130,
131,133,137,141,142,143,164,165,166,167,168,172,175,176,177,178,179,180,191,
193,194,198,199,201,202,203,204,206,207,208,209,210,212,213,216,218,219,220,
221,222,223,226,227,230,231,232,233,235,236,238,239,240,242,243,244,245,246,
248,249,250,251,253,254,255,256,257,258,260,263,264,265,266,268,270,272,273,
274,275,276,277,278,282,284,285,287,290,292,293,294,297,298,301,303,307,310,
313,315,316,324,328,329,332,334,338,340,348,350,351,352,354,355,357,370,380,
385,387,388,395,439,441,443,444,445,446,447,448,449,450,451,453,456,458,459,
460,463,464,468,470,471,472,473,474,475,478,479,480,483,486,487,488,490,491,
498,503,505,506,508,509,512,522,533,534,536,540,544,559,560,561,567,571,572,
575,577,580,582,583,585,586,588,596,602,603,605,606,607,608,609,613,616,618,
619,621,624,628,629,630,631,636,638,640,646,647,651,652,655,666,669,674,677,
681,682,683,684,688,691,692,697,719,733,745,749,750,763,766,768,769,833,836,
844,845,846,852,861,863,864,865,866,872,874,876,881,887,891,892,896,899,903,
909,918,924,929,931,944,945,946,952,954,966,967,989,996,1000,1012,1043,1052,
1055,1057,1070,1071,1075,1083,1155,1160,1161,1170,1174,1175,1184,1195,1251,
1252,1254,1370],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,41,44,45,47,
49,50,51,54,56,65,66,67,68,70,71,75,76,78,79,80,81,82,108,113,115,119,140,166,
167,175,176,177,178,179,191,193,198,203,204,206,208,209,210,212,213,221,222,
226,231,233,242,251,254,256,260,268,284,285,295,312,315,320,333,347,440,441,
444,445,446,447,448,450,451,475,515,578,579,580,586,606,608,616,618,666,669,
676,683,689,847,851,852,863,864,879,892,904,913,919,953,954,1175,1179,1180,
1371],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,29,31,
40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,68,70,71,72,74,75,76,
77,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,114,115,116,
123,126,127,128,130,131,133,136,137,139,141,142,143,164,165,166,167,168,172,
175,176,177,178,179,180,193,194,198,199,201,202,204,206,207,208,209,210,212,
213,216,220,222,223,227,230,231,232,233,236,238,240,242,243,244,245,246,248,
249,250,251,253,254,257,258,260,264,265,266,270,275,277,278,285,293,297,300,
301,307,309,310,316,319,328,329,332,334,336,339,343,348,355,357,370,380,385,
387,388,395,439,441,443,444,445,446,447,448,449,450,451,453,459,460,463,464,
468,470,471,472,478,483,486,487,488,491,498,503,505,506,512,534,540,544,559,
560,561,564,567,572,577,582,583,587,596,605,607,613,619,621,624,628,629,631,
638,644,645,652,657,666,669,681,690,691,725,745,770,774,836,845,846,861,863,
865,866,878,886,896,910,916,918,922,924,931,947,963,969,989,1000,1002,1007,
1043,1070,1169,1174,1188,1239,1253,1372],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,
17,18,19,20,24,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,65,66,67,68,70,71,
75,76,78,79,80,81,82,101,108,111,113,115,119,165,166,167,175,176,177,178,179,
180,183,184,185,186,187,191,193,194,198,199,201,203,204,206,208,209,210,212,
213,217,220,221,222,225,226,231,233,235,239,240,242,244,251,253,254,255,256,
260,264,268,269,272,273,276,279,281,282,284,285,287,290,291,292,295,296,310,
315,322,333,348,438,440,441,442,444,445,446,447,448,449,450,451,452,454,455,
458,459,462,465,466,472,473,474,475,476,480,488,495,506,508,510,517,521,575,
580,581,586,592,600,607,608,609,616,618,622,625,636,646,648,649,651,666,669,
671,672,673,674,676,677,683,686,688,691,754,831,843,849,850,852,853,856,857,
858,862,863,864,866,881,891,892,907,923,927,929,939,940,946,949,954,959,961,
994,1014,1060,1066,1091,1093,1159,1162,1175,1187,1191,1224,1252,1261,1265,
1373],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,30,31,
40,41,44,45,47,49,50,51,53,54,56,57,60,63,65,66,68,70,71,75,76,77,78,79,80,81,
82,86,90,92,93,97,99,100,102,107,108,109,110,113,115,116,119,122,123,126,127,
128,129,130,133,135,137,141,144,166,167,171,173,175,176,177,178,179,183,184,
186,188,190,193,194,197,200,202,203,204,205,206,208,210,212,213,215,217,222,
223,225,227,228,230,231,233,234,239,241,242,243,244,249,250,251,252,253,254,
256,260,261,262,265,267,269,270,280,282,283,285,286,287,292,296,297,299,304,
317,321,322,324,325,326,334,338,341,345,348,349,350,354,356,363,373,374,377,
441,442,444,445,446,447,450,451,452,453,457,464,467,469,471,472,474,477,485,
487,493,497,498,500,501,507,508,513,514,515,516,517,520,528,529,530,535,538,
543,546,548,555,556,562,567,569,570,572,581,590,592,594,600,608,615,626,629,
630,647,649,650,655,661,662,663,666,669,674,681,682,684,693,714,733,738,747,
764,834,835,851,854,855,857,859,860,863,877,880,882,888,889,893,896,897,900,
903,907,911,912,925,928,933,935,943,955,956,1010,1048,1049,1051,1060,1071,
1173,1178,1182,1185,1217,1231,1245,1260,1264,1374],[1,2,3,4,5,8,9,10,11,12,13,
14,15,16,17,18,19,24,40,41,44,45,47,49,50,51,53,54,56,57,65,66,68,70,75,76,79,
80,81,82,105,108,113,115,119,120,136,166,167,175,176,177,178,179,183,184,186,
193,194,206,208,210,212,213,217,222,225,231,233,239,242,251,254,256,260,269,
285,288,289,292,300,324,331,338,339,342,343,348,350,354,441,442,444,445,446,
447,450,451,453,474,477,497,515,581,587,592,598,600,630,654,655,657,666,668,
669,682,684,690,733,835,854,863,878,893,903,907,910,911,914,933,934,935,947,
951,1168,1169,1185,1293,1375],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,25,
41,44,45,47,49,50,51,54,56,58,62,65,66,67,68,70,75,76,79,80,81,82,105,108,113,
115,117,119,120,121,166,167,175,176,177,178,179,191,193,206,208,210,212,213,
218,219,222,231,233,239,242,251,254,256,260,263,274,285,288,289,292,294,295,
303,324,331,333,338,340,342,350,354,440,441,444,445,446,447,450,451,456,474,
479,490,509,515,522,571,598,606,630,651,654,655,666,668,669,676,677,682,684,
733,833,844,847,851,863,891,903,909,913,914,919,934,944,945,951,952,1168,1180,
1184,1198,1207,1376],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,41,44,45,47,
49,50,51,54,56,65,66,67,68,70,75,76,79,80,81,82,108,113,115,119,136,166,167,
175,176,177,178,179,185,191,193,206,208,210,212,213,222,231,233,239,242,251,
254,256,260,281,285,292,295,300,333,339,343,440,441,444,445,446,447,450,451,
455,474,515,581,587,600,606,651,657,666,669,676,677,686,690,831,847,849,851,
863,878,891,907,910,913,919,947,1162,1169,1180,1377],[1,2,3,4,5,8,9,10,11,12,
13,14,15,16,17,18,19,20,41,44,45,47,49,50,51,54,56,65,66,67,68,70,71,75,76,78,
79,80,81,82,105,108,113,115,119,120,166,167,175,176,177,178,179,191,193,198,
203,204,206,208,209,210,212,213,221,222,226,231,233,242,251,254,256,260,268,
284,285,288,289,296,315,322,331,342,441,444,445,446,447,448,450,451,452,475,
515,580,586,598,608,616,618,647,649,654,666,668,669,683,852,859,860,863,864,
892,912,914,934,943,951,954,1168,1175,1178,1378],[1,2,3,4,5,6,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,87,89,90,91,92,93,94,95,97,98,
100,101,102,104,105,106,107,108,110,111,112,115,116,120,122,123,126,127,128,
129,131,132,140,141,143,165,166,170,171,175,179,180,182,185,188,189,190,191,
192,193,194,196,197,198,199,201,203,204,205,206,208,209,211,213,214,215,216,
220,221,223,224,227,228,229,230,232,234,237,238,240,241,243,244,245,246,247,
248,249,250,251,252,253,254,257,258,259,260,262,264,266,267,268,270,271,277,
280,281,283,285,286,288,289,299,304,306,308,311,312,314,318,320,321,331,341,
342,347,357,362,368,378,397,445,448,449,455,459,462,463,467,469,472,475,476,
481,488,492,493,494,495,496,500,501,502,504,506,507,510,511,517,520,521,528,
529,531,534,537,538,539,540,543,549,556,559,560,561,562,565,566,568,572,574,
578,579,582,590,597,598,604,605,607,610,611,614,615,617,620,621,632,633,634,
637,638,642,643,653,654,656,658,659,661,662,664,665,666,667,668,670,678,679,
681,685,689,693,712,713,731,755,831,838,850,866,885,892,900,908,930,937,939,
941,951,953,971,986,987,990,992,1000,1006,1032,1033,1035,1041,1042,1051,1059,
1064,1072,1082,1084,1085,1092,1094,1159,1193,1215,1243,1244,1246,1248,1379],[
1,2,3,4,5,6,9,10,11,13,14,16,17,20,21,22,23,28,31,40,45,47,51,53,56,62,65,67,
69,71,73,74,75,77,78,79,80,81,82,89,91,95,109,113,114,117,118,119,121,123,125,
130,136,138,140,142,167,175,176,183,191,194,195,196,202,203,204,211,214,222,
226,229,231,235,249,250,255,257,268,269,271,272,274,278,285,287,290,292,298,
300,303,315,317,320,322,327,329,332,333,334,340,345,346,349,350,351,352,353,
354,388,391,392,402,403,440,442,446,452,462,473,476,479,484,487,490,499,502,
533,558,569,575,578,585,589,595,608,616,622,628,640,651,655,658,673,687,690,
702,704,716,720,727,729,746,747,750,763,769,858,859,867,875,879,882,901,910,
945,960,984,1016,1018,1020,1035,1055,1066,1073,1081,1183,1200,1206,1219,1221,
1249,1268,1380],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,
27,28,29,30,31,40,41,44,45,46,48,49,50,51,53,54,55,56,60,61,65,66,69,71,72,73,
74,75,76,77,79,80,81,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,
104,106,108,109,110,112,113,114,115,116,118,119,122,123,126,127,128,129,130,
131,132,133,135,136,137,139,141,142,143,144,165,166,173,174,176,178,180,181,
188,189,192,193,194,195,196,197,198,199,200,201,202,204,205,207,208,209,211,
212,213,215,216,220,223,227,228,229,230,231,232,234,236,237,238,239,241,242,
243,244,245,246,247,248,249,250,251,252,254,256,257,258,260,261,262,264,265,
266,267,270,271,275,277,278,280,283,285,292,293,297,300,309,319,323,325,326,
328,329,332,334,335,336,339,343,357,361,363,365,369,370,371,372,373,374,375,
377,379,388,399,400,401,443,444,448,449,457,463,467,471,474,482,483,485,489,
490,496,499,501,504,506,509,512,513,514,516,518,519,525,529,530,532,534,535,
537,539,540,542,546,547,548,551,552,554,555,556,559,560,561,564,566,570,572,
573,576,582,583,584,586,587,591,594,599,601,605,612,614,617,621,623,626,627,
628,632,635,638,639,641,644,645,646,650,652,657,660,666,667,674,678,681,687,
690,719,725,745,760,770,774,839,844,864,865,878,887,890,908,922,928,930,936,
946,950,955,962,963,970,979,988,991,995,1000,1002,1024,1025,1028,1030,1031,
1046,1068,1076,1077,1081,1095,1160,1192,1197,1225,1232,1238,1239,1381],[1,2,3,
4,5,6,9,10,11,13,14,16,17,23,28,31,40,43,45,47,51,52,53,56,61,62,65,67,74,75,
78,79,80,81,82,91,109,113,114,117,119,121,123,125,130,136,138,140,142,167,170,
174,175,176,183,189,191,192,194,222,226,231,235,255,256,257,268,269,272,274,
278,285,287,290,292,298,300,303,315,317,320,322,327,329,332,333,334,338,340,
346,349,350,351,352,353,354,366,386,388,393,398,440,442,446,462,473,476,479,
482,484,490,511,515,533,558,575,578,581,585,589,595,616,622,628,640,651,655,
673,684,690,709,710,718,720,727,735,746,747,750,763,769,832,858,860,879,893,
901,910,913,945,983,984,1016,1018,1020,1037,1055,1066,1076,1094,1186,1199,
1220,1221,1242,1249,1262,1382],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,25,26,27,28,29,30,31,40,41,44,45,46,48,49,50,51,53,54,55,56,58,60,
61,62,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,84,85,86,88,89,90,91,92,93,
94,95,96,97,98,99,100,102,103,104,106,108,109,110,112,113,114,115,116,117,118,
121,122,123,126,127,128,129,130,131,132,133,135,136,137,139,141,142,143,144,
145,146,165,166,173,174,176,178,180,181,188,189,191,192,193,194,195,196,197,
198,199,200,201,202,203,205,207,208,211,212,213,215,216,218,219,220,221,223,
226,227,228,229,230,231,232,234,235,236,237,238,241,242,243,244,245,246,247,
248,249,250,251,252,254,255,257,258,260,261,262,263,264,265,266,267,268,270,
271,272,273,274,275,276,277,278,280,282,283,284,285,287,290,293,294,297,298,
300,303,309,313,315,319,323,325,326,328,329,332,334,335,336,339,340,343,351,
352,357,361,363,365,369,370,371,372,373,374,375,377,379,382,383,384,386,388,
392,393,396,399,400,401,403,443,444,449,456,457,458,463,467,471,473,475,479,
480,482,483,485,489,496,499,501,504,506,508,512,513,514,516,518,519,522,525,
529,530,532,533,534,535,536,537,539,540,542,546,547,548,551,552,554,555,556,
559,560,561,564,566,570,571,572,573,575,576,582,583,584,585,587,588,591,594,
599,601,602,603,605,609,612,614,616,617,618,621,623,626,627,628,632,635,636,
638,639,640,641,644,645,650,652,657,660,666,667,678,681,683,687,688,690,692,
697,698,701,703,704,706,708,710,711,716,724,725,735,737,739,745,748,749,750,
756,757,760,763,766,768,769,770,773,774,777,833,839,852,865,876,878,890,908,
922,928,929,930,936,950,955,962,963,966,967,970,978,979,988,991,996,997,998,
1000,1002,1009,1012,1022,1023,1024,1025,1028,1036,1037,1053,1054,1055,1069,
1073,1074,1075,1077,1086,1088,1089,1096,1097,1106,1109,1170,1209,1223,1232,
1235,1239,1250,1277,1288,1296,1297,1383],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,26,28,29,30,31,41,42,44,45,48,49,50,51,54,56,59,60,61,
67,68,70,71,75,76,77,78,79,80,81,86,87,89,91,92,93,94,95,96,98,99,100,101,102,
103,107,108,111,112,113,114,115,116,118,119,122,123,126,127,128,129,130,131,
132,133,135,136,137,139,142,143,144,164,166,168,173,174,176,178,182,188,189,
190,191,192,193,195,196,198,199,200,203,204,205,206,207,209,210,212,214,215,
220,221,223,226,227,228,229,230,231,232,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,256,260,261,262,265,267,268,271,277,
280,283,284,285,286,292,299,300,301,304,309,315,316,319,323,325,326,335,336,
339,343,362,363,368,370,371,373,387,388,395,400,439,444,448,457,464,467,468,
469,474,475,482,485,486,489,490,494,496,499,503,505,509,513,514,516,518,519,
528,529,531,534,537,538,539,542,543,544,546,549,551,554,555,562,564,566,567,
568,570,572,573,576,577,582,584,587,591,605,606,607,610,611,615,616,618,619,
620,624,626,627,632,633,635,638,639,644,645,647,650,652,653,656,657,658,659,
665,669,670,679,683,690,698,711,739,756,842,844,852,861,878,881,899,920,921,
922,928,932,936,938,969,971,977,978,988,1007,1010,1022,1023,1025,1027,1030,
1032,1034,1040,1041,1068,1070,1076,1081,1086,1161,1223,1225,1234,1238,1250,
1253,1384],[1,2,3,4,5,6,8,9,10,11,15,16,17,19,23,25,26,28,29,31,45,46,47,48,
49,50,53,58,60,63,66,67,74,75,78,80,81,86,105,109,112,113,114,116,117,119,120,
121,122,124,130,134,139,142,146,167,171,173,178,179,186,187,191,201,205,215,
226,231,235,254,258,263,268,273,276,278,282,290,292,294,295,296,297,302,313,
315,319,328,331,332,340,344,349,350,351,352,353,354,356,360,364,370,383,384,
390,394,438,440,450,457,461,480,495,507,509,521,522,533,536,550,558,583,595,
598,609,616,645,648,655,673,677,692,699,703,715,724,730,738,749,753,762,768,
769,834,847,856,883,886,914,944,1003,1005,1012,1020,1026,1050,1068,1069,1072,
1091,1154,1190,1194,1207,1226,1237,1256,1385],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,27,28,30,31,41,42,43,44,45,48,49,50,51,52,54,56,59,
63,67,68,69,70,71,72,73,74,77,78,79,84,85,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,119,
120,122,123,127,128,129,130,131,132,133,135,137,140,141,142,143,144,164,166,
168,170,171,175,179,181,189,190,191,192,195,197,199,200,202,203,205,206,207,
208,209,210,211,212,214,215,216,220,221,223,224,227,228,229,230,232,234,236,
237,238,239,240,241,244,245,247,248,249,250,251,253,254,256,259,260,261,262,
265,266,267,268,270,271,275,277,278,280,283,285,286,288,289,292,299,301,304,
306,307,308,311,312,314,316,318,320,321,331,341,342,347,355,361,365,369,370,
371,372,374,375,377,378,379,387,388,395,397,399,400,401,439,443,445,460,469,
474,475,476,478,481,492,493,494,495,498,500,501,502,503,504,505,507,511,514,
518,520,526,530,531,532,534,535,542,543,544,546,547,548,552,554,556,557,561,
565,567,572,573,574,576,577,578,579,582,590,594,595,597,598,599,601,604,606,
607,612,614,617,619,623,624,638,641,642,643,647,652,653,654,656,660,661,662,
667,668,669,670,678,686,687,689,693,707,732,734,736,740,742,752,775,840,846,
849,850,884,894,895,899,900,932,938,941,951,953,981,982,987,991,993,1008,1024,
1035,1042,1049,1058,1064,1067,1070,1072,1077,1079,1080,1087,1090,1094,1177,
1202,1204,1205,1222,1243,1248,1386],[1,2,3,4,5,6,8,9,10,11,13,14,16,17,20,21,
22,23,28,31,45,46,47,48,51,53,56,62,66,67,69,71,73,74,75,77,78,80,81,89,95,
109,112,113,114,116,117,118,119,121,125,130,136,138,140,142,167,175,176,186,
187,195,196,201,202,203,204,211,214,229,231,235,249,250,256,258,268,271,272,
273,274,276,278,282,284,285,292,295,296,297,298,300,303,313,315,320,327,328,
332,340,344,346,349,350,351,353,354,356,370,391,392,402,403,438,446,452,458,
476,479,484,487,490,499,502,510,515,550,557,558,578,583,585,588,593,603,609,
618,646,648,651,655,658,672,687,690,702,704,716,729,730,738,749,753,762,763,
766,853,860,867,879,880,901,910,915,945,958,960,967,1017,1019,1035,1050,1073,
1081,1093,1172,1196,1199,1206,1218,1220,1268,1387],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,27,28,30,31,41,42,43,44,45,48,49,50,51,52,54,
56,59,63,68,69,70,71,72,73,74,77,79,84,85,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,120,
122,123,124,125,127,128,129,130,131,132,133,134,135,137,138,140,141,142,143,
144,164,166,168,170,171,175,179,181,185,189,190,192,195,197,199,200,202,205,
206,207,208,209,210,211,212,214,215,216,220,223,224,227,228,229,230,232,234,
236,237,238,240,241,244,245,247,248,249,250,251,253,254,259,260,261,262,265,
266,267,270,271,275,277,278,280,281,283,285,286,288,289,299,301,302,304,305,
306,307,308,311,312,314,316,318,320,321,327,330,331,337,341,342,347,355,358,
360,361,364,365,366,367,369,370,371,372,374,375,376,377,378,379,381,387,388,
389,390,391,394,395,397,398,399,400,401,402,439,443,445,455,460,461,469,478,
481,484,492,493,494,498,500,501,502,503,504,505,507,511,514,518,520,524,526,
527,530,531,532,534,535,541,542,543,544,546,547,548,552,554,556,561,563,565,
567,572,573,574,576,577,578,579,582,590,594,597,598,599,601,604,607,612,614,
617,619,623,624,634,637,638,641,642,643,652,653,654,656,660,661,662,664,667,
668,669,670,678,685,687,689,693,695,699,700,702,705,707,709,712,713,715,717,
718,721,722,723,726,728,729,731,732,734,736,740,741,742,743,752,755,761,771,
772,775,831,840,846,848,868,873,884,895,900,932,938,941,951,953,960,975,980,
981,982,983,985,987,991,993,999,1001,1003,1004,1008,1015,1024,1033,1042,1044,
1049,1067,1070,1077,1078,1084,1085,1090,1092,1098,1099,1102,1103,1104,1105,
1107,1108,1156,1189,1202,1204,1213,1244,1246,1274,1280,1290,1292,1388],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,28,40,41,43,44,45,46,48,
49,50,51,52,53,54,55,56,63,65,66,68,69,70,71,72,73,74,75,76,77,79,87,89,90,91,
92,93,94,95,96,97,98,100,101,102,103,104,105,106,107,108,109,110,111,112,114,
115,116,119,120,122,123,124,125,126,127,128,129,131,132,134,138,140,141,143,
165,166,170,171,175,179,180,182,188,189,190,192,193,194,196,197,198,199,201,
202,204,205,206,207,208,209,211,213,214,215,216,220,223,224,227,228,229,230,
232,234,237,238,239,240,241,243,244,245,246,247,248,249,250,251,252,253,254,
256,257,258,259,260,262,264,266,267,270,271,275,277,278,280,283,285,286,288,
289,292,299,302,304,305,306,308,311,312,314,317,318,320,321,327,330,331,337,
341,342,344,346,347,356,357,358,360,362,364,366,367,368,376,378,381,389,390,
391,394,397,398,402,443,445,448,449,459,461,463,467,469,472,474,481,484,488,
492,493,494,496,500,501,502,504,506,507,511,520,528,529,531,534,537,538,539,
540,541,543,545,549,550,556,559,560,561,562,563,565,566,568,572,574,578,579,
582,589,590,593,597,598,604,605,607,610,611,614,615,617,620,621,632,633,638,
642,643,653,654,656,658,659,661,662,663,665,666,667,668,670,678,679,680,681,
686,689,693,695,699,700,702,705,709,715,717,718,719,721,722,723,726,729,741,
761,771,772,838,848,849,866,885,887,900,906,908,930,937,941,951,953,957,960,
971,973,975,980,983,985,986,987,990,992,999,1000,1001,1003,1004,1006,1015,
1032,1041,1042,1044,1051,1058,1059,1078,1079,1080,1082,1087,1165,1189,1193,
1205,1213,1215,1222,1276,1279,1284,1289,1389],[1,2,3,4,5,6,8,9,10,11,13,14,16,
17,23,28,31,43,45,46,47,48,51,52,53,56,61,62,66,67,74,75,78,80,81,109,112,113,
114,116,117,119,121,125,130,136,138,140,142,167,170,174,175,176,186,187,189,
192,201,203,231,235,258,268,272,273,274,276,278,282,284,285,292,295,296,297,
298,300,303,313,315,320,327,328,332,340,344,349,350,351,353,354,356,366,370,
386,393,398,438,446,452,458,476,479,482,484,490,510,511,550,557,558,578,583,
585,588,603,609,618,648,651,655,672,690,709,710,718,730,735,738,749,753,762,
763,766,832,853,859,879,901,910,945,958,967,983,1017,1019,1037,1050,1076,1093,
1094,1153,1196,1200,1218,1219,1242,1262,1390],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,27,28,30,31,40,41,44,45,46,47,48,49,50,51,53,54,
55,56,57,65,66,67,69,71,72,73,74,77,78,79,80,81,82,84,85,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,106,107,109,110,111,112,114,116,118,119,
123,126,127,128,129,130,131,132,133,135,137,141,142,143,144,165,166,167,175,
176,177,178,179,180,181,182,183,184,186,187,188,190,191,194,195,196,197,198,
199,200,201,202,203,204,207,209,210,211,213,214,216,217,220,222,223,225,227,
228,229,230,232,233,234,236,237,238,239,240,241,243,244,245,246,247,248,249,
250,252,253,254,256,261,262,264,265,266,267,269,270,271,272,273,275,276,277,
278,279,280,283,285,286,290,291,292,295,296,297,310,317,322,324,328,329,333,
334,338,344,345,346,348,349,350,353,354,356,359,361,362,365,368,369,371,372,
375,378,379,397,399,400,401,438,440,441,442,443,446,448,449,450,452,454,458,
464,465,471,472,474,477,478,480,483,486,487,488,491,498,499,500,502,510,515,
516,521,530,531,532,535,537,539,540,542,544,545,549,550,552,560,562,565,567,
568,569,570,572,573,576,577,580,581,584,589,591,592,593,596,597,600,601,604,
606,608,611,612,614,615,620,623,625,627,629,630,632,633,638,639,641,642,646,
647,649,650,653,658,659,660,661,662,663,667,670,671,674,675,676,678,679,680,
681,684,687,691,720,730,746,758,759,762,765,767,837,845,851,853,854,855,856,
860,862,867,875,877,880,882,888,889,893,896,906,911,912,913,915,917,919,931,
942,943,946,961,962,965,968,976,986,990,993,1013,1014,1024,1027,1028,1034,
1039,1041,1047,1052,1056,1067,1083,1158,1167,1172,1181,1208,1212,1217,1227,
1230,1233,1257,1258,1260,1264,1266,1391],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,25,26,28,29,30,31,41,42,44,45,48,49,50,51,54,56,58,59,
60,61,62,68,70,71,75,76,77,79,80,81,86,87,89,91,92,93,94,95,96,98,99,100,101,
102,103,107,108,111,112,113,114,115,116,117,118,121,122,123,126,127,128,129,
130,131,132,133,135,136,137,139,142,143,144,145,146,164,166,168,173,174,176,
178,182,188,189,190,192,193,195,196,198,199,200,204,205,206,207,209,210,212,
214,215,218,219,220,223,227,228,229,230,231,232,236,237,238,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,260,261,262,263,265,267,271,274,
277,280,283,285,286,294,299,300,301,303,304,309,316,319,323,325,326,335,336,
339,340,343,362,363,368,370,371,373,382,383,384,386,387,388,392,393,395,396,
400,403,439,444,448,456,457,464,467,468,469,479,482,485,486,489,494,496,499,
503,505,513,514,516,518,519,522,528,529,531,534,537,538,539,542,543,544,546,
549,551,554,555,562,564,566,567,568,570,571,572,573,576,577,582,584,586,587,
591,605,607,610,611,615,619,620,624,626,627,632,633,635,638,639,644,645,650,
652,653,656,657,658,659,665,669,670,679,690,701,703,704,706,708,710,716,724,
735,737,748,757,773,777,833,842,861,864,872,874,878,920,921,922,928,932,936,
938,969,971,977,988,995,997,998,1007,1009,1010,1025,1027,1031,1032,1034,1036,
1037,1040,1041,1046,1053,1054,1069,1070,1073,1074,1088,1089,1095,1155,1192,
1197,1209,1234,1235,1253,1272,1275,1278,1287,1392],[1,2,3,4,5,6,8,9,10,11,15,
16,17,19,20,21,22,23,25,28,29,30,31,45,46,47,48,49,50,53,58,66,67,71,74,75,77,
78,80,81,99,105,107,109,110,112,113,114,116,117,119,120,121,124,129,130,134,
135,139,142,145,167,178,179,186,187,188,190,191,197,200,201,202,204,226,231,
235,241,249,250,254,256,258,263,268,273,276,278,280,282,290,292,294,295,296,
297,302,313,315,319,328,331,332,340,344,346,349,350,351,352,353,354,356,367,
370,376,381,382,389,396,438,440,450,461,480,487,495,500,509,515,516,521,522,
533,535,536,550,558,562,583,593,595,598,609,616,645,646,648,655,673,677,692,
700,701,730,738,741,748,749,753,762,768,769,851,855,856,883,886,914,915,942,
944,1005,1012,1020,1026,1030,1044,1050,1064,1088,1091,1181,1198,1211,1226,
1228,1237,1240,1393],[1,2,3,4,5,6,9,10,11,15,16,17,19,20,21,22,23,25,28,29,30,
31,40,45,47,49,50,53,58,65,67,71,74,75,77,78,79,80,81,82,91,99,105,107,109,
110,113,114,117,119,120,121,123,124,129,130,134,135,139,142,145,167,178,179,
183,188,190,191,194,197,200,202,203,204,222,231,241,249,250,254,255,257,263,
268,269,272,278,280,282,284,287,290,292,294,298,302,313,315,317,319,322,329,
331,332,333,334,340,346,349,350,352,353,354,359,367,376,381,382,388,389,396,
440,442,450,452,461,487,495,500,508,509,516,517,522,535,536,557,558,562,575,
580,588,589,598,602,618,622,628,645,655,672,675,677,700,701,720,727,741,746,
747,748,750,766,768,847,855,857,875,883,886,914,917,944,959,996,1018,1019,
1021,1030,1044,1064,1065,1088,1163,1207,1210,1211,1240,1241,1256,1394],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,30,31,40,41,44,
45,47,49,50,51,53,54,56,57,65,66,67,69,71,72,73,74,77,78,79,80,81,82,84,85,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,106,107,109,110,111,
112,114,116,118,119,123,126,127,128,129,130,131,132,133,135,137,141,142,143,
144,166,167,175,176,177,178,179,181,182,183,184,186,188,190,191,194,195,196,
197,198,200,202,203,204,207,209,210,211,213,214,216,217,220,221,222,223,225,
227,228,229,230,232,233,234,235,236,237,238,240,241,243,244,245,246,247,248,
249,250,252,253,254,255,256,261,262,265,266,267,268,269,270,271,275,277,278,
280,282,283,285,286,287,295,296,297,317,322,324,328,329,333,334,338,345,348,
349,350,353,354,356,359,361,362,365,368,369,371,372,375,378,379,397,399,400,
401,440,441,442,443,446,448,450,452,453,462,464,466,471,472,473,475,478,483,
486,487,488,491,497,498,499,500,502,508,515,516,517,530,531,532,535,537,539,
540,542,544,549,552,553,558,560,562,565,567,568,569,570,572,573,576,577,580,
581,584,591,592,596,597,600,601,604,606,608,611,612,614,615,620,623,627,629,
630,632,633,638,639,641,642,647,649,650,653,658,659,660,661,662,663,667,670,
674,675,676,678,679,681,684,687,696,714,727,738,744,747,751,753,764,835,837,
843,845,847,855,857,858,859,867,875,877,880,882,888,889,893,896,902,911,912,
913,917,919,931,942,943,954,956,962,964,986,990,993,994,1024,1027,1028,1029,
1034,1038,1039,1041,1048,1056,1057,1060,1067,1071,1163,1166,1183,1208,1212,
1217,1231,1233,1245,1258,1259,1263,1269,1270,1395],[1,2,3,4,5,6,9,10,11,15,16,
17,19,23,25,26,28,29,31,40,45,47,49,50,53,58,60,63,65,67,74,75,78,79,80,81,82,
86,91,105,109,113,114,117,119,120,121,122,123,124,130,134,139,142,146,167,171,
173,178,179,183,194,203,205,215,222,231,254,255,256,257,263,268,269,272,278,
282,284,287,290,292,294,298,302,313,315,317,319,322,324,329,331,332,333,334,
340,346,349,350,352,353,354,360,364,383,384,388,390,394,442,450,452,457,461,
495,507,508,509,515,517,522,536,557,558,575,588,589,598,600,602,618,622,628,
630,645,655,672,677,699,703,715,720,724,727,746,747,750,766,768,834,851,857,
883,886,911,912,914,944,959,996,1003,1018,1019,1021,1065,1068,1069,1072,1173,
1190,1194,1198,1210,1228,1241,1396],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,28,31,40,41,44,45,46,47,48,49,50,51,53,54,55,56,57,65,66,
67,68,70,71,72,74,75,76,77,78,79,80,81,82,91,96,101,103,109,111,112,113,114,
116,119,123,124,125,130,131,133,134,137,138,142,143,165,166,167,175,176,177,
178,179,180,183,184,186,187,191,193,194,198,199,201,202,203,204,206,207,208,
209,210,212,213,216,217,220,221,222,225,227,231,232,233,235,236,238,239,240,
242,244,249,250,253,255,256,257,258,264,265,268,269,272,273,275,276,277,278,
279,282,287,290,291,292,293,295,296,297,298,302,305,310,313,317,322,324,327,
328,329,330,332,333,334,337,338,344,345,346,348,349,350,351,352,353,354,356,
357,358,359,370,388,438,441,442,443,444,445,448,449,454,458,459,461,462,463,
465,471,472,473,474,475,477,480,483,484,487,488,490,491,506,508,509,510,512,
515,517,521,533,536,540,541,545,550,553,557,558,563,569,575,577,580,581,583,
585,586,588,589,592,593,595,600,607,608,609,622,625,628,630,636,646,648,649,
651,652,655,663,671,672,673,674,675,676,677,680,682,684,686,688,691,696,697,
714,719,720,727,730,733,738,744,745,746,747,751,753,754,758,759,762,764,765,
767,841,844,845,848,849,854,862,864,865,866,876,881,887,888,891,892,894,902,
903,906,907,915,923,929,939,946,949,954,956,957,958,961,964,968,973,976,984,
994,1005,1011,1013,1014,1016,1017,1018,1021,1026,1050,1060,1061,1065,1100,
1101,1160,1165,1167,1195,1201,1203,1216,1224,1229,1236,1247,1252,1255,1261,
1397],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,40,41,
42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,66,67,68,70,71,72,74,75,76,77,
78,79,80,81,82,83,94,96,98,103,104,106,109,113,114,119,126,127,128,141,164,
165,166,167,168,172,175,176,177,178,179,180,191,193,194,198,199,201,202,203,
204,206,207,208,209,210,212,213,216,221,222,223,226,230,231,233,235,239,242,
243,245,246,248,255,256,264,266,268,270,272,273,275,276,278,282,284,287,290,
292,295,296,298,301,307,310,313,315,316,317,322,324,333,338,344,345,346,348,
349,350,351,352,353,354,355,356,359,439,440,441,443,444,445,448,449,452,453,
458,460,462,464,466,468,470,473,474,475,476,477,478,480,486,490,495,498,503,
505,508,509,510,515,517,521,533,536,545,550,553,557,558,561,569,575,580,581,
585,588,589,593,595,600,605,606,608,609,616,618,622,630,636,646,647,648,649,
651,655,663,672,673,674,675,676,677,680,682,683,684,686,688,691,697,719,733,
744,754,836,841,843,844,846,849,850,852,854,861,876,881,887,891,892,894,899,
902,903,906,907,919,923,929,939,943,946,949,954,959,965,1016,1017,1019,1020,
1026,1029,1045,1047,1048,1052,1057,1062,1063,1065,1066,1071,1083,1091,1093,
1157,1161,1171,1177,1191,1203,1214,1216,1224,1247,1251,1254,1255,1265,1267,
1398],[1,2,3,7,9,12,32,37,39,41,42,147,151,163,164,404,408,415,778,787,830,
1151,1299,1399],[1,2,7,16,32,39,61,62,136,157,163,393,404,414,417,778,813,823,
1400],[1,2,4,7,11,24,32,38,39,57,64,148,155,163,169,404,410,431,778,820,829,
1150,1301,1401],[1,2,5,7,17,25,26,29,32,35,39,58,60,139,146,149,150,156,163,
383,404,413,416,422,423,778,808,809,1300,1402],[1,2,3,4,7,8,9,10,11,12,18,24,
32,37,38,40,41,42,44,45,46,47,48,53,54,55,57,59,64,65,66,79,82,83,147,148,151,
155,158,164,165,166,167,168,169,172,177,180,183,184,186,187,194,199,201,210,
213,217,222,225,233,264,269,279,291,310,348,407,408,409,410,411,415,427,431,
435,438,439,441,442,449,453,454,465,470,497,523,592,625,671,691,780,781,784,
787,792,794,795,796,797,803,818,820,835,836,862,870,1110,1125,1129,1130,1144,
1152,1305,1316,1317,1403],[1,2,3,4,5,6,7,9,11,12,13,14,15,17,18,19,20,21,22,
23,28,30,31,32,33,34,35,38,41,43,49,50,52,54,56,59,68,69,70,71,73,77,89,90,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,111,114,115,120,122,
124,125,127,130,132,133,134,135,137,138,140,141,143,147,154,155,156,159,160,
168,170,185,190,200,205,206,207,211,223,224,228,234,237,240,248,259,260,265,
266,270,271,277,281,283,288,289,299,302,304,305,306,307,308,311,312,314,318,
320,327,330,331,337,342,347,355,358,360,361,366,367,371,374,375,377,378,387,
389,390,391,395,397,398,400,402,405,406,408,411,412,434,455,460,469,492,527,
542,548,563,574,604,623,624,634,637,654,664,685,689,695,699,700,702,705,707,
709,712,713,721,722,723,726,728,732,734,736,771,775,779,780,782,783,801,802,
873,895,975,1033,1078,1084,1090,1098,1099,1103,1107,1112,1113,1114,1116,1119,
1121,1280,1315,1323,1324,1329,1335,1404],[1,2,3,6,7,9,12,13,14,15,21,22,23,27,
28,32,33,34,36,37,41,42,43,49,52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,
103,105,110,114,120,124,125,128,134,138,140,147,151,152,154,161,162,164,170,
171,181,185,197,206,207,211,224,230,234,248,259,281,288,289,301,302,305,312,
316,318,320,321,327,330,331,337,341,342,347,358,364,366,369,376,381,391,394,
398,401,402,405,406,408,415,419,437,455,492,503,520,524,526,563,612,634,637,
654,664,685,689,702,709,715,717,721,722,723,726,731,740,741,742,743,752,755,
761,772,779,782,786,787,812,815,840,868,1004,1008,1078,1084,1085,1102,1104,
1105,1108,1112,1113,1114,1117,1120,1123,1274,1302,1320,1323,1336,1337,1405],[
1,2,3,4,7,8,9,10,11,13,14,16,32,37,38,43,45,46,47,48,51,52,53,56,61,66,78,81,
151,155,158,167,170,174,175,176,186,187,189,192,201,203,272,273,285,407,417,
418,435,438,446,452,458,482,510,511,784,795,797,807,811,832,853,859,1129,1153,
1321,1406],[1,2,3,4,5,7,8,9,10,11,12,16,17,18,19,20,25,32,37,38,41,42,44,45,
48,50,51,54,58,59,62,71,75,76,79,80,81,113,117,121,126,127,147,149,151,155,
158,164,166,168,176,178,193,198,199,204,209,210,212,218,219,223,231,242,243,
245,246,263,274,294,303,340,408,411,414,415,416,435,439,444,448,456,464,468,
479,486,505,522,571,586,605,780,781,787,819,824,833,861,864,872,874,1111,1125,
1155,1307,1318,1319,1407],[1,2,3,5,6,7,8,9,10,12,15,16,17,19,20,21,22,23,25,
26,29,30,32,35,36,41,44,45,49,50,51,58,60,62,71,75,76,77,80,81,86,99,113,116,
117,121,122,123,127,128,129,135,139,144,145,146,147,149,152,156,158,166,173,
176,178,188,193,200,205,212,215,218,219,223,227,230,231,242,244,250,252,254,
261,262,263,267,274,280,294,303,309,319,325,326,336,340,382,383,384,396,408,
412,414,416,419,422,425,430,444,456,457,467,479,485,513,514,516,522,529,546,
564,570,571,572,644,645,701,703,706,724,748,757,777,781,783,786,809,816,819,
824,833,922,928,1036,1053,1069,1074,1088,1089,1111,1128,1148,1235,1303,1311,
1318,1408],[1,2,3,5,7,9,12,16,17,19,20,25,26,29,32,35,37,41,42,50,51,58,60,61,
62,71,86,87,113,117,121,127,136,139,146,147,149,151,156,157,164,173,174,182,
188,196,209,212,223,245,252,294,300,303,319,383,384,386,393,408,412,414,415,
416,422,429,456,485,489,505,564,568,586,587,703,716,735,748,783,787,790,809,
823,842,874,969,995,997,1036,1095,1111,1133,1278,1303,1307,1312,1409],[1,2,3,
4,6,7,9,11,12,13,14,15,16,18,20,21,22,23,28,32,36,38,41,49,51,54,56,59,63,68,
70,71,77,90,96,97,103,104,105,106,110,114,118,120,124,125,128,131,132,134,138,
140,141,142,147,152,155,157,168,171,185,192,195,197,206,207,214,230,234,236,
237,238,241,245,251,253,262,266,267,270,281,288,289,302,305,307,312,320,321,
327,330,331,337,341,342,347,355,358,364,376,381,394,408,411,419,436,455,460,
494,520,527,532,563,573,597,599,619,654,689,693,707,715,717,718,728,729,731,
736,741,755,761,772,779,780,786,790,873,884,980,1004,1085,1090,1092,1113,1116,
1117,1122,1292,1310,1315,1320,1410],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,18,21,
22,23,28,32,37,38,41,42,44,45,48,49,54,56,59,68,70,72,74,77,79,94,96,98,103,
104,106,109,114,124,125,128,134,138,141,147,151,155,158,164,166,168,175,179,
185,199,202,206,207,208,210,216,230,248,266,270,275,278,281,301,302,305,307,
316,327,330,337,355,358,408,411,415,435,439,443,445,455,460,461,478,484,498,
503,524,527,541,561,563,728,743,779,780,781,787,831,846,848,868,873,1113,1116,
1120,1125,1156,1302,1308,1315,1411],[1,2,3,5,6,7,9,12,13,14,15,16,17,19,20,21,
22,23,25,28,29,30,32,33,34,36,37,41,42,49,50,51,56,58,62,68,70,71,77,89,92,94,
95,96,98,99,102,103,113,114,117,118,121,127,128,132,135,136,139,145,147,149,
151,152,154,161,162,164,189,195,200,206,207,209,212,215,223,228,230,237,241,
245,248,267,271,286,294,300,301,303,316,319,371,382,392,396,400,403,405,406,
408,414,415,416,419,430,437,456,503,505,514,518,542,543,564,573,586,587,653,
656,701,704,710,724,782,786,787,812,815,816,822,874,932,969,998,1031,1046,
1053,1111,1123,1287,1307,1311,1322,1412],[1,2,3,5,6,7,9,12,13,14,15,16,17,19,
20,21,22,23,28,32,35,37,41,42,49,50,51,56,68,70,71,77,93,94,96,98,100,103,105,
107,113,114,120,122,124,125,127,128,129,134,138,140,144,147,151,156,157,164,
185,190,192,205,206,207,209,212,214,223,229,230,245,247,248,261,262,280,281,
283,288,289,299,301,302,304,305,312,316,320,327,330,331,337,342,347,358,360,
367,389,390,408,412,415,429,455,469,494,503,505,524,531,546,554,563,576,654,
670,689,695,699,700,705,712,713,718,729,742,743,752,771,779,783,787,790,868,
938,975,980,1008,1033,1092,1113,1119,1120,1133,1290,1302,1310,1324,1413],[1,2,
3,5,6,7,9,10,15,17,19,23,26,28,32,33,34,36,37,45,47,49,50,60,63,67,74,78,80,
86,105,109,114,120,122,124,134,150,151,152,154,161,162,167,171,173,178,179,
205,215,254,268,278,302,313,331,349,352,353,360,364,390,394,407,413,420,433,
437,450,457,461,495,507,536,558,598,699,715,784,785,793,804,805,806,817,834,
883,914,1003,1072,1131,1145,1194,1313,1414],[1,2,3,4,5,7,8,9,10,11,15,17,19,
26,32,37,38,45,46,47,48,49,50,53,60,63,66,67,80,86,122,150,151,155,158,167,
171,173,178,179,186,187,191,201,205,215,254,276,290,407,413,420,433,435,438,
440,450,457,480,507,521,784,795,797,804,806,834,847,856,1129,1154,1313,1415],[
1,2,3,5,7,9,10,15,16,17,19,25,26,29,32,35,37,45,47,49,50,58,60,63,75,80,81,86,
113,117,119,121,122,139,146,150,151,156,157,167,171,173,178,179,205,215,231,
254,263,292,294,319,340,350,354,383,384,407,413,420,423,429,433,450,457,507,
509,522,645,655,677,703,724,784,791,798,804,806,808,810,834,886,944,1068,1069,
1132,1146,1190,1313,1416],[1,2,3,5,7,9,10,13,14,16,17,32,35,37,43,45,47,51,52,
56,61,62,75,80,81,113,117,119,121,136,151,156,157,167,170,174,175,176,189,192,
231,274,285,292,300,303,340,350,354,386,393,407,417,418,429,446,479,482,490,
511,651,655,690,710,735,784,791,798,807,811,813,821,832,910,945,1037,1076,
1132,1143,1262,1321,1417],[1,2,3,5,6,7,8,9,10,12,13,14,16,17,19,20,21,22,23,
25,32,33,34,41,44,45,50,51,56,58,61,62,71,75,76,77,80,81,91,92,93,94,98,100,
102,112,113,117,118,121,136,144,147,149,154,157,158,166,174,176,178,189,192,
193,195,196,212,218,219,220,228,229,231,232,242,245,248,249,252,261,263,274,
283,285,294,300,303,323,335,339,340,343,386,392,393,403,405,406,408,414,416,
426,444,456,479,482,489,496,499,518,519,522,554,566,571,587,638,650,657,690,
704,708,710,716,735,737,773,781,782,790,819,822,823,824,833,878,936,997,998,
1009,1037,1054,1073,1111,1127,1147,1209,1312,1318,1322,1418],[1,2,3,4,5,6,7,9,
11,12,15,16,17,18,19,20,21,22,23,25,29,30,32,36,38,41,49,50,51,54,58,59,61,62,
71,77,99,107,113,117,121,126,128,131,135,136,139,142,145,147,149,152,155,157,
168,174,190,196,200,209,212,215,229,230,236,238,243,245,246,247,251,252,253,
262,267,294,300,303,319,382,386,393,396,408,411,414,416,419,430,436,456,468,
489,514,528,564,586,587,619,633,635,639,670,701,716,724,735,780,786,790,816,
823,872,920,997,1007,1031,1053,1095,1111,1122,1275,1311,1312,1319,1419],[1,2,
3,4,5,6,7,9,11,12,13,14,16,17,18,19,20,21,22,23,25,26,29,31,32,33,34,35,38,41,
50,51,54,56,58,59,60,62,71,77,86,92,93,94,98,100,101,102,108,111,113,115,117,
118,121,126,127,129,130,133,136,137,139,143,146,147,149,154,155,156,159,160,
168,173,188,189,195,209,212,214,223,228,240,243,246,247,248,252,260,265,277,
280,283,294,300,303,319,363,373,383,384,387,392,395,403,405,406,408,411,412,
414,416,422,434,456,468,485,518,531,564,586,587,620,624,626,627,665,703,704,
710,748,780,782,783,801,802,809,822,872,921,995,998,1007,1036,1046,1111,1121,
1272,1303,1319,1322,1420],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,18,21,22,23,24,
28,32,33,34,36,37,40,41,42,44,45,46,47,48,49,53,54,55,56,57,59,65,66,67,68,70,
72,74,77,78,79,82,83,94,96,98,103,104,106,109,114,119,128,141,147,148,151,152,
154,161,162,164,165,166,167,168,172,175,177,179,180,191,194,199,201,202,203,
206,207,208,210,213,216,221,222,230,233,239,248,256,264,266,268,270,275,278,
292,301,307,310,316,317,344,345,346,348,349,353,355,356,359,405,406,407,408,
409,410,415,419,427,437,439,441,443,445,449,453,460,462,470,474,475,478,498,
503,510,517,521,545,550,553,558,561,569,581,589,593,600,606,647,663,675,680,
691,744,782,784,785,786,787,792,793,799,800,803,812,815,836,846,899,902,906,
907,939,965,1029,1047,1048,1110,1123,1131,1137,1267,1309,1314,1316,1421],[1,2,
3,5,6,7,8,9,10,12,13,14,15,17,19,20,21,22,23,32,35,36,41,44,45,49,50,56,63,68,
70,71,77,90,92,93,97,100,102,107,110,116,122,123,127,128,140,147,152,156,158,
166,171,175,179,185,190,197,205,206,208,215,223,227,228,230,234,241,244,250,
254,281,283,286,299,304,312,320,321,341,347,408,412,419,425,445,455,469,493,
500,501,507,520,543,556,572,578,579,661,689,712,713,731,755,779,781,783,786,
831,900,953,1033,1085,1113,1117,1119,1128,1246,1308,1320,1324,1422],[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,31,32,33,34,35,38,40,41,44,
45,46,47,48,50,53,54,55,56,57,59,64,65,66,67,71,77,78,79,80,82,83,94,98,101,
104,106,108,109,111,115,116,119,123,126,127,130,131,133,137,143,147,148,154,
155,156,159,160,168,169,172,175,177,178,180,183,184,186,187,191,194,199,201,
202,203,204,210,213,217,220,222,223,225,227,233,238,240,243,248,256,260,264,
265,266,269,276,277,279,282,287,290,291,295,296,297,310,317,322,324,333,334,
344,345,346,348,349,350,353,356,359,380,385,387,395,405,406,407,408,409,410,
411,412,431,434,447,453,462,464,465,466,470,471,477,478,480,488,491,497,508,
510,523,559,569,580,581,582,592,593,606,608,624,625,630,631,646,647,649,663,
671,674,675,676,691,714,738,746,747,758,759,762,764,780,782,783,788,793,795,
796,798,800,801,802,820,870,924,927,933,956,961,965,968,976,994,1029,1038,
1045,1071,1083,1110,1121,1126,1139,1282,1304,1309,1317,1423],[1,2,3,4,6,7,8,9,
10,11,12,15,16,18,20,21,22,23,24,32,36,38,40,41,44,45,46,47,48,49,51,53,54,55,
57,59,64,65,66,67,71,77,78,79,81,82,83,91,109,112,119,128,131,141,142,143,147,
148,152,155,157,168,169,172,176,177,179,180,183,184,186,187,191,194,199,201,
202,203,204,210,213,217,222,225,230,232,233,235,236,238,244,245,246,251,253,
255,256,264,269,270,272,273,277,279,291,295,296,310,317,322,328,329,333,338,
344,345,346,348,349,353,354,356,359,407,408,409,410,411,419,431,436,451,453,
458,465,466,470,472,473,477,483,486,491,497,498,517,521,523,534,569,580,592,
593,600,606,608,613,619,621,625,646,647,649,663,671,674,675,676,684,691,696,
720,727,730,751,753,765,767,780,785,786,789,790,791,795,796,799,820,870,918,
935,940,964,968,1013,1014,1038,1045,1047,1048,1052,1057,1060,1110,1122,1141,
1142,1298,1306,1314,1317,1424],[1,2,3,4,5,6,7,8,9,10,11,12,15,17,18,19,20,21,
22,23,24,31,32,35,36,40,41,44,45,47,49,50,53,54,57,65,66,71,77,78,79,80,82,
109,116,119,123,126,127,128,130,133,137,141,147,148,152,156,158,166,167,177,
178,179,183,184,186,194,202,203,204,210,213,217,222,223,225,227,230,233,243,
244,249,250,253,254,256,265,269,270,282,287,296,297,317,322,324,334,345,348,
349,350,356,407,408,409,410,412,419,425,441,442,450,452,453,464,471,472,487,
497,498,508,515,517,567,569,572,592,600,608,629,630,647,649,663,674,681,714,
738,747,764,781,783,785,786,788,794,797,798,799,818,835,857,882,888,896,911,
943,956,1048,1060,1071,1110,1128,1136,1138,1231,1304,1305,1314,1425],[1,2,3,4,
5,7,8,9,10,11,12,16,17,18,19,20,24,32,35,37,40,41,42,44,45,46,47,48,50,51,53,
54,55,57,59,65,66,67,71,75,76,78,79,80,81,82,83,113,119,126,127,147,148,151,
156,157,164,165,166,167,168,172,176,177,178,180,191,193,194,198,199,201,203,
204,209,210,212,213,221,222,223,231,233,235,239,242,243,245,246,255,256,264,
268,272,273,276,282,287,290,292,310,324,338,348,350,354,407,408,409,410,412,
415,427,429,439,441,444,448,449,453,458,464,468,470,473,474,475,480,486,505,
508,575,580,605,606,608,609,630,636,646,647,655,674,682,684,688,691,733,783,
784,787,788,789,790,791,792,798,803,836,861,899,903,929,946,954,1052,1057,
1071,1083,1110,1132,1133,1134,1251,1304,1306,1316,1426],[1,2,3,4,6,7,8,9,10,
11,12,13,14,16,18,20,21,22,23,24,32,33,34,40,41,44,45,47,51,53,54,56,57,65,66,
67,71,77,79,81,82,91,94,98,101,104,106,109,111,112,119,142,147,148,154,157,
158,166,167,175,176,177,183,184,186,191,194,202,204,210,213,217,220,222,225,
232,233,235,236,240,245,246,248,249,250,255,256,266,269,285,295,317,328,329,
333,338,348,353,354,356,359,405,406,407,408,409,410,426,440,441,442,446,453,
462,473,478,483,486,487,488,497,515,544,560,580,581,592,596,606,638,663,674,
675,676,684,696,727,751,753,781,782,789,790,791,793,794,797,800,818,835,858,
888,893,917,919,931,964,994,1029,1057,1110,1127,1135,1140,1263,1305,1306,1309,
1427],[1,2,3,6,7,9,10,13,14,16,23,28,32,33,34,36,37,43,45,47,51,52,56,61,67,
74,78,81,109,114,125,138,140,151,152,154,161,162,167,170,174,175,176,189,192,
268,278,285,298,320,327,349,351,353,366,398,407,417,418,437,446,476,482,484,
511,558,578,585,709,718,784,785,793,807,811,814,825,832,879,901,983,1094,1131,
1149,1242,1321,1428],[1,2,3,6,7,8,9,10,12,13,14,15,16,20,21,22,23,32,33,34,41,
43,44,45,49,51,52,56,68,69,70,71,73,77,89,90,91,94,95,97,98,105,112,120,147,
154,157,158,166,170,175,179,185,189,192,206,208,211,214,220,224,232,234,245,
248,249,259,262,267,271,281,285,286,288,289,318,331,342,405,406,408,426,445,
455,481,492,494,502,504,511,598,617,634,637,638,654,656,662,664,668,685,779,
781,782,790,831,941,951,1084,1092,1112,1113,1114,1127,1244,1308,1310,1323,
1429],[1,2,3,4,7,8,9,10,11,12,18,32,37,38,41,42,44,45,48,54,59,67,78,79,119,
147,151,155,158,164,166,168,191,199,203,210,221,239,256,268,292,408,411,415,
435,439,474,475,606,647,672,673,780,781,787,841,899,923,1125,1157,1328,1430],[
1,2,3,5,6,7,8,9,10,16,17,19,21,22,23,25,26,27,29,30,32,35,37,40,44,46,50,51,
58,60,61,62,67,72,74,75,76,77,78,80,81,84,85,86,88,91,99,112,113,116,117,118,
121,123,135,136,139,144,145,146,150,151,153,156,157,165,173,174,181,193,195,
200,216,218,219,221,226,227,232,242,255,257,258,261,263,273,274,276,284,287,
294,298,300,303,309,313,315,319,323,325,326,335,336,339,340,343,351,352,357,
379,382,383,384,386,392,393,396,399,403,409,413,417,423,424,428,429,432,433,
463,513,519,525,571,602,603,640,641,644,657,683,688,692,697,698,701,703,704,
706,708,711,725,735,737,739,749,750,756,757,760,770,773,777,788,789,792,806,
808,810,811,813,821,827,839,1002,1009,1023,1075,1086,1089,1096,1097,1106,1109,
1115,1134,1143,1146,1288,1325,1330,1338,1431],[1,2,3,4,6,7,8,9,10,11,20,21,22,
23,27,32,37,38,45,46,47,48,53,66,71,77,84,85,87,88,109,119,132,151,153,155,
158,167,181,182,186,187,201,202,204,237,247,249,250,256,344,346,407,421,424,
428,432,435,438,487,515,593,646,659,660,784,795,797,827,828,837,877,915,1129,
1158,1327,1432],[1,2,3,6,7,8,9,10,13,14,15,20,23,28,32,33,34,36,37,40,43,44,
46,49,52,56,63,71,72,87,105,107,109,114,119,120,124,125,134,138,140,151,152,
154,161,162,165,170,171,182,190,198,208,214,220,239,244,275,286,302,317,320,
327,331,344,364,366,367,389,394,398,409,418,420,421,437,481,493,506,541,545,
579,668,679,686,700,709,715,719,729,792,799,800,804,805,807,814,817,825,828,
838,973,999,1015,1079,1080,1082,1137,1145,1149,1276,1333,1433],[1,2,3,5,7,9,
12,16,17,19,20,25,26,29,32,35,37,41,42,50,51,58,60,61,62,71,86,87,113,117,121,
127,136,139,146,147,150,151,156,157,164,173,174,182,188,196,209,212,223,245,
252,294,300,303,319,383,384,386,393,408,412,413,415,417,421,423,429,433,456,
485,489,505,564,568,586,587,703,716,735,748,783,787,790,806,808,810,811,813,
821,828,842,874,969,995,997,1036,1095,1133,1143,1146,1278,1331,1434],[1,2,3,6,
7,9,12,13,14,15,21,22,23,27,28,32,33,34,36,37,41,42,43,49,52,56,63,68,69,70,
73,77,84,85,88,90,94,96,97,98,103,105,110,114,120,124,125,128,134,138,140,147,
151,152,153,154,161,162,164,170,171,181,185,197,206,207,211,224,230,234,248,
259,281,288,289,301,302,305,312,316,318,320,321,327,330,331,337,341,342,347,
358,364,366,369,376,381,391,394,398,401,402,405,406,408,415,418,419,420,424,
428,432,437,455,492,503,520,524,526,563,612,634,637,654,664,685,689,702,709,
715,717,721,722,723,726,731,740,741,742,743,752,755,761,772,782,786,787,804,
805,807,812,814,815,817,825,827,840,868,1004,1008,1078,1084,1085,1102,1104,
1105,1108,1118,1123,1145,1149,1274,1326,1332,1334,1435],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,118,119,122,
123,126,127,128,129,130,131,132,133,135,137,141,142,143,144,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,220,221,222,223,224,225,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,264,265,266,267,
268,269,270,271,272,273,275,276,277,278,279,280,282,283,285,286,287,290,291,
292,293,295,296,297,299,301,304,306,307,308,310,311,314,316,317,318,321,322,
323,324,325,326,328,329,332,333,334,335,338,341,344,345,346,348,349,350,353,
354,355,356,357,359,361,362,363,365,368,369,370,371,372,373,374,375,377,378,
379,380,385,387,388,395,397,399,400,401,438,439,440,441,442,443,444,445,446,
447,448,449,450,451,452,453,454,457,458,459,460,462,463,464,465,466,467,468,
469,470,471,472,473,474,475,477,478,480,481,482,483,485,486,487,488,489,491,
492,493,494,496,497,498,499,500,501,502,503,504,505,506,507,508,510,511,512,
513,514,515,516,517,518,519,520,521,523,525,526,528,529,530,531,532,534,535,
537,538,539,540,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,
558,559,560,561,562,565,566,567,568,569,570,572,573,574,575,576,577,580,581,
582,583,584,589,590,591,592,593,594,596,597,599,600,601,604,605,606,607,608,
609,610,611,612,613,614,615,617,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,635,636,638,639,641,642,643,646,647,648,649,650,652,653,655,
656,658,659,660,661,662,663,665,666,667,669,670,671,674,675,676,678,679,680,
681,682,684,687,688,691,693,694,696,714,720,727,730,732,733,734,738,740,744,
745,746,747,751,753,754,758,759,760,762,764,765,767,775,776,832,834,835,836,
837,838,839,840,842,843,845,846,847,851,853,854,855,856,857,858,859,860,861,
862,863,865,866,867,869,870,871,875,877,880,882,884,885,888,889,890,893,895,
896,897,899,900,902,903,905,906,907,908,911,912,913,915,917,918,919,920,921,
924,925,927,928,929,930,931,932,933,935,936,937,938,939,940,941,942,943,946,
948,949,950,954,955,956,961,962,964,965,968,970,971,972,974,976,977,979,981,
982,986,987,988,989,990,991,993,994,1000,1006,1010,1011,1013,1014,1018,1024,
1025,1027,1028,1029,1032,1034,1038,1039,1040,1041,1042,1043,1045,1047,1048,
1049,1050,1051,1052,1056,1057,1059,1060,1061,1067,1070,1071,1077,1083,1100,
1101,1152,1153,1154,1158,1163,1166,1167,1171,1172,1173,1174,1176,1178,1180,
1181,1182,1183,1185,1186,1187,1202,1208,1212,1215,1217,1227,1230,1231,1232,
1233,1234,1236,1245,1251,1257,1258,1259,1260,1261,1263,1264,1266,1267,1269,
1270,1271,1282,1283,1298,1345,1348,1356,1357,1360,1369,1374,1391,1395,1436],[
1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,31,40,41,
42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,62,64,65,66,67,68,70,71,72,74,
75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,
114,115,116,117,119,121,123,124,125,126,127,128,130,131,133,134,137,138,141,
142,143,164,165,166,167,168,169,172,175,176,177,178,179,180,183,184,185,186,
187,191,193,194,198,199,201,202,203,204,206,207,208,209,210,212,213,216,217,
218,219,220,221,222,223,225,226,227,230,231,232,233,235,236,238,239,240,242,
243,244,245,246,248,249,250,251,253,254,255,256,257,258,260,263,264,265,266,
268,269,270,272,273,274,275,276,277,278,279,281,282,284,285,287,290,291,292,
293,294,295,296,297,298,301,302,303,305,307,310,313,315,316,317,322,324,327,
328,329,330,332,333,334,337,338,340,344,345,346,348,349,350,351,352,353,354,
355,356,357,358,359,370,380,385,387,388,395,438,439,440,441,442,443,444,445,
446,447,448,449,450,451,452,453,454,455,456,458,459,460,461,462,463,464,465,
466,468,470,471,472,473,474,475,476,477,478,479,480,483,484,486,487,488,490,
491,495,497,498,503,505,506,508,509,510,512,515,517,521,522,523,524,527,533,
534,536,540,541,544,545,550,553,557,558,559,560,561,563,567,569,571,572,575,
577,580,581,582,583,585,586,588,589,592,593,595,596,600,602,603,605,606,607,
608,609,613,616,618,619,621,622,624,625,628,629,630,631,636,638,640,646,647,
648,649,651,652,655,663,666,669,671,672,673,674,675,676,677,680,681,682,683,
684,686,688,691,692,696,697,714,719,720,727,728,730,733,738,743,744,745,746,
747,749,750,751,753,754,758,759,762,763,764,765,766,767,768,769,831,833,835,
836,841,843,844,845,846,848,849,850,852,853,854,856,857,858,861,862,863,864,
865,866,868,870,872,873,874,876,881,882,883,887,888,891,892,893,894,896,898,
899,901,902,903,906,907,909,911,915,917,918,919,923,924,926,927,929,931,933,
935,939,940,943,944,945,946,949,952,954,956,957,958,959,961,964,965,966,967,
968,973,976,984,989,994,996,1000,1005,1011,1012,1013,1014,1016,1017,1018,1019,
1020,1021,1026,1029,1038,1043,1045,1047,1048,1050,1052,1055,1057,1060,1061,
1062,1063,1065,1066,1070,1071,1075,1083,1091,1093,1100,1101,1152,1155,1156,
1157,1159,1160,1161,1162,1164,1165,1166,1167,1170,1171,1174,1175,1177,1184,
1185,1187,1191,1195,1196,1201,1203,1214,1216,1224,1226,1227,1229,1231,1236,
1241,1247,1249,1251,1252,1254,1255,1261,1263,1265,1266,1267,1282,1285,1295,
1298,1344,1351,1354,1356,1359,1370,1373,1397,1398,1437],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,121,122,123,126,127,128,129,130,131,132,133,135,136,137,139,141,142,143,
144,145,146,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,
181,182,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,218,219,220,221,222,223,224,
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,
264,265,266,267,268,270,271,272,273,274,275,276,277,278,280,282,283,284,285,
286,287,290,292,293,294,297,298,299,300,301,303,304,306,307,308,309,310,311,
313,314,315,316,318,319,321,323,324,325,326,328,329,332,334,335,336,338,339,
340,341,343,348,350,351,352,354,355,357,361,362,363,365,368,369,370,371,372,
373,374,375,377,378,379,380,382,383,384,385,386,387,388,392,393,395,396,397,
399,400,401,403,439,441,443,444,445,446,447,448,449,450,451,453,456,457,458,
459,460,463,464,467,468,469,470,471,472,473,474,475,478,479,480,481,482,483,
485,486,487,488,489,490,491,492,493,494,496,498,499,500,501,502,503,504,505,
506,507,508,509,511,512,513,514,516,518,519,520,522,525,526,528,529,530,531,
532,533,534,535,536,537,538,539,540,542,543,544,546,547,548,549,551,552,554,
555,556,559,560,561,562,564,565,566,567,568,570,571,572,573,574,575,576,577,
580,582,583,584,585,586,587,588,590,591,594,596,597,599,601,602,603,604,605,
606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,623,624,626,
627,628,629,630,631,632,633,635,636,638,639,640,641,642,643,644,645,646,647,
650,651,652,653,655,656,657,658,659,660,661,662,665,666,667,669,670,674,677,
678,679,681,682,683,684,687,688,690,691,692,693,694,697,698,701,703,704,706,
708,710,711,716,719,724,725,732,733,734,735,737,739,740,745,748,749,750,756,
757,760,763,766,768,769,770,773,774,775,776,777,832,833,834,836,837,838,839,
840,842,844,845,846,852,855,861,863,864,865,866,867,869,871,872,874,876,878,
881,884,885,886,887,889,890,891,892,895,896,897,899,900,903,905,908,909,910,
916,918,920,921,922,924,925,928,929,930,931,932,936,937,938,941,944,945,946,
947,948,950,952,954,955,962,963,966,967,969,970,971,972,974,977,978,979,981,
982,986,987,988,989,990,991,993,995,996,997,998,1000,1002,1006,1007,1009,1010,
1012,1022,1023,1024,1025,1027,1028,1030,1031,1032,1034,1036,1037,1039,1040,
1041,1042,1043,1046,1049,1051,1052,1053,1054,1055,1056,1057,1059,1067,1068,
1069,1070,1071,1073,1074,1075,1076,1077,1081,1083,1086,1088,1089,1095,1096,
1097,1106,1109,1155,1160,1161,1169,1170,1174,1175,1176,1182,1184,1188,1190,
1192,1195,1197,1202,1209,1215,1223,1225,1232,1233,1234,1235,1238,1239,1240,
1250,1251,1252,1253,1254,1262,1268,1271,1272,1273,1275,1277,1278,1283,1286,
1287,1288,1296,1297,1345,1347,1349,1350,1358,1370,1372,1381,1383,1384,1392,
1438],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,31,
40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,62,65,66,67,68,70,71,72,
74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,105,106,108,109,111,112,
113,114,115,116,117,119,120,121,123,126,127,128,130,131,133,137,140,141,142,
143,164,165,166,167,168,172,175,176,177,178,179,180,191,193,194,198,199,201,
202,203,204,206,207,208,209,210,212,213,216,218,219,220,221,222,223,226,227,
230,231,232,233,235,236,238,239,240,242,243,244,245,246,248,249,250,251,253,
254,255,256,257,258,260,263,264,265,266,268,270,272,273,274,275,276,277,278,
282,284,285,287,288,289,290,292,293,294,295,296,297,298,301,303,307,310,312,
313,315,316,320,322,324,328,329,331,332,333,334,338,340,342,347,348,350,351,
352,354,355,357,370,380,385,387,388,395,439,440,441,443,444,445,446,447,448,
449,450,451,452,453,456,458,459,460,463,464,466,468,470,471,472,473,474,475,
477,478,479,480,483,486,487,488,490,491,498,503,505,506,508,509,512,515,522,
533,534,536,540,544,559,560,561,567,571,572,575,577,578,579,580,582,583,585,
586,588,596,598,602,603,605,606,607,608,609,613,616,618,619,621,622,624,628,
629,630,631,636,638,640,646,647,648,649,651,652,654,655,666,668,669,674,676,
677,681,682,683,684,688,689,691,692,697,707,719,733,736,742,745,749,750,752,
754,763,766,768,769,833,836,843,844,845,846,847,851,852,854,859,860,861,863,
864,865,866,872,874,875,876,877,879,880,881,887,891,892,896,899,903,904,909,
912,913,914,918,919,924,929,931,934,942,943,944,945,946,949,951,952,953,954,
966,967,989,992,996,1000,1008,1012,1043,1045,1052,1055,1057,1070,1071,1075,
1082,1083,1090,1155,1160,1161,1168,1170,1171,1174,1175,1178,1179,1180,1184,
1193,1195,1198,1204,1207,1208,1219,1220,1251,1252,1254,1257,1264,1269,1270,
1353,1360,1363,1370,1371,1376,1378,1439],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,31,40,41,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,61,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,89,90,
91,92,93,94,95,96,97,98,100,101,102,103,104,106,108,109,111,112,113,114,115,
116,117,118,119,121,123,124,125,130,133,134,136,137,138,140,142,144,165,166,
167,170,174,175,176,177,178,179,180,183,184,186,187,189,191,192,193,194,195,
196,199,201,202,203,204,206,207,208,210,211,212,213,214,216,217,218,219,220,
221,222,224,225,226,227,228,229,231,232,233,234,235,236,239,240,242,245,246,
248,249,250,251,252,254,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,271,272,273,274,275,276,278,279,282,283,284,285,286,287,290,291,292,
293,294,295,296,297,298,300,302,303,305,306,308,310,311,312,313,314,315,317,
318,320,322,323,324,327,328,329,330,332,333,334,335,337,338,339,340,343,344,
345,346,347,348,349,350,351,352,353,354,356,357,358,359,366,370,386,388,391,
392,393,398,402,403,438,440,441,442,443,444,445,446,447,449,450,451,452,454,
456,458,461,462,463,465,466,471,473,474,475,476,478,479,480,481,482,483,484,
486,487,488,489,490,492,494,495,496,499,502,504,508,509,510,511,512,515,517,
518,519,521,522,530,533,536,541,544,545,547,550,551,553,554,557,558,560,563,
566,569,570,571,574,575,578,579,581,583,585,587,588,589,592,593,595,596,599,
602,603,608,609,610,615,616,617,618,622,625,628,630,635,636,638,640,643,646,
647,648,649,650,651,652,655,656,657,658,661,662,663,665,666,669,671,672,673,
675,676,677,680,682,683,684,687,688,689,690,691,692,696,697,702,704,708,709,
710,714,716,718,720,721,722,723,726,727,729,730,733,735,737,738,744,745,746,
747,749,750,751,753,754,758,759,762,763,764,765,766,767,768,769,773,832,833,
843,844,848,850,852,853,856,857,858,859,860,862,863,865,867,875,876,878,879,
880,882,883,889,891,893,894,898,901,902,903,904,905,906,909,910,912,913,915,
923,926,927,929,931,936,939,940,941,943,944,945,947,948,949,952,953,956,958,
959,960,961,964,965,966,967,976,979,980,981,983,984,996,997,998,999,1001,1005,
1006,1009,1011,1012,1013,1016,1017,1018,1019,1020,1021,1026,1035,1037,1040,
1050,1052,1054,1055,1061,1062,1063,1065,1066,1073,1075,1076,1078,1081,1091,
1093,1094,1100,1101,1153,1164,1169,1170,1172,1176,1178,1179,1183,1184,1186,
1187,1191,1196,1199,1200,1201,1203,1206,1209,1213,1214,1218,1219,1220,1221,
1225,1226,1227,1230,1236,1241,1242,1243,1245,1249,1262,1268,1270,1285,1286,
1294,1295,1346,1353,1354,1357,1358,1365,1366,1380,1382,1387,1390,1440],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,40,
41,44,45,46,47,48,49,50,51,53,54,55,56,57,58,60,62,63,65,66,67,68,70,71,72,74,
75,76,77,78,79,80,81,82,86,90,91,92,93,96,97,99,100,102,103,105,107,108,109,
110,112,113,114,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,
133,134,135,137,138,139,141,142,144,145,146,165,166,167,171,173,175,176,177,
178,179,180,183,184,186,187,188,190,191,193,194,197,199,200,201,202,203,204,
205,206,207,208,210,212,213,215,216,217,218,219,221,222,223,225,226,227,228,
230,231,232,233,234,235,236,239,241,242,243,244,249,250,251,252,253,254,255,
256,257,258,260,261,262,263,264,265,267,268,269,270,272,273,274,275,276,278,
279,280,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,302,303,304,305,309,310,313,315,317,319,321,322,324,325,326,327,328,329,
330,331,332,333,334,336,337,338,340,341,342,344,345,346,348,349,350,351,352,
353,354,356,357,358,359,360,363,364,367,370,373,374,376,377,381,382,383,384,
388,389,390,394,396,438,440,441,442,443,444,445,446,447,449,450,451,452,454,
456,457,458,461,462,463,464,465,466,467,469,471,472,473,474,475,476,479,480,
483,484,485,487,490,493,495,498,500,501,507,508,509,510,512,513,514,515,516,
517,520,521,522,528,529,530,533,535,536,538,541,543,545,546,548,550,553,555,
556,557,558,562,563,564,567,569,570,571,572,575,580,583,585,588,589,590,592,
593,594,595,598,600,602,603,606,609,615,616,618,622,625,626,628,629,630,636,
640,644,645,646,648,649,650,651,652,654,655,661,662,663,666,668,669,671,672,
673,675,676,677,680,681,682,683,684,688,691,692,693,695,696,697,699,700,701,
703,705,706,714,715,717,720,724,727,730,733,738,741,744,745,746,747,748,749,
750,751,753,754,757,758,759,761,762,763,764,765,766,767,768,769,771,772,777,
833,834,843,844,847,848,850,851,852,853,855,856,857,858,862,863,865,875,876,
883,886,889,891,894,896,897,898,900,901,902,903,906,909,911,912,913,914,915,
916,917,919,922,923,925,926,927,928,929,934,939,940,942,944,945,949,951,952,
955,956,958,959,964,966,967,975,976,984,985,996,1003,1004,1005,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1026,1030,1036,1044,1047,1049,
1050,1051,1053,1055,1061,1062,1063,1064,1065,1066,1068,1069,1072,1074,1075,
1083,1088,1089,1091,1093,1100,1101,1154,1163,1164,1168,1170,1173,1180,1181,
1182,1184,1187,1188,1189,1190,1191,1194,1196,1198,1201,1203,1207,1210,1211,
1214,1226,1228,1230,1235,1236,1237,1238,1240,1241,1248,1249,1256,1259,1266,
1269,1273,1285,1291,1295,1349,1352,1354,1355,1362,1369,1376,1385,1393,1394,
1396,1441],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,
27,28,30,31,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,118,119,120,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,137,138,140,141,142,143,144,164,165,166,167,168,170,171,172,173,
174,175,176,177,178,179,180,181,182,185,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,220,221,222,223,224,227,228,229,230,231,232,233,234,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,256,257,258,259,260,
261,262,264,265,266,267,268,270,271,275,277,278,280,281,283,285,286,288,289,
292,293,297,298,299,301,302,304,305,306,307,308,310,311,312,313,314,316,317,
318,320,321,323,325,326,327,328,329,330,331,332,334,335,337,341,342,344,345,
346,347,348,349,351,352,353,355,356,357,358,359,360,361,362,363,364,365,366,
367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,385,387,388,389,
390,391,394,395,397,398,399,400,401,402,439,441,443,444,445,446,447,448,449,
450,451,453,455,457,459,460,461,462,463,464,467,468,469,470,471,472,474,475,
476,478,481,482,483,484,485,486,487,488,489,491,492,493,494,495,496,498,499,
500,501,502,503,504,505,506,507,510,511,512,513,514,516,517,518,519,520,521,
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,
562,563,565,566,567,568,569,570,572,573,574,576,577,578,579,581,582,583,584,
585,588,589,590,591,593,594,595,596,597,598,599,600,601,604,605,606,607,610,
611,612,613,614,615,617,619,620,621,623,624,626,627,628,629,631,632,633,634,
635,637,638,639,641,642,643,647,650,651,652,653,654,656,658,659,660,661,662,
663,664,665,666,667,668,669,670,675,677,678,679,680,681,685,686,687,689,691,
693,694,695,697,699,700,702,705,707,709,712,713,715,717,718,719,721,722,723,
726,728,729,731,732,734,736,740,741,742,743,744,745,752,755,760,761,771,772,
775,776,831,832,834,836,837,838,839,840,842,845,846,848,849,850,855,861,863,
865,866,867,868,869,871,873,876,879,883,884,885,887,889,890,891,892,894,895,
896,897,898,899,900,901,902,904,905,906,907,908,914,918,920,921,924,925,926,
928,930,931,932,934,936,937,938,939,941,948,950,951,953,955,957,958,960,962,
965,970,971,972,973,974,975,977,979,980,981,982,983,984,985,986,987,988,989,
990,991,992,993,999,1000,1001,1003,1004,1005,1006,1008,1010,1015,1021,1024,
1025,1027,1028,1029,1032,1033,1034,1035,1039,1040,1041,1042,1043,1044,1047,
1048,1049,1051,1056,1058,1059,1064,1067,1070,1072,1077,1078,1079,1080,1082,
1084,1085,1087,1090,1092,1094,1098,1099,1102,1103,1104,1105,1107,1108,1156,
1159,1162,1164,1165,1168,1174,1176,1177,1179,1182,1189,1193,1194,1201,1202,
1204,1205,1206,1211,1213,1215,1222,1229,1232,1233,1234,1242,1243,1244,1246,
1248,1254,1267,1271,1274,1276,1279,1280,1283,1284,1289,1290,1291,1292,1294,
1345,1346,1355,1359,1361,1363,1364,1379,1386,1388,1389,1442],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,30,31,40,41,44,45,46,47,48,49,
50,51,53,54,55,56,57,60,63,65,66,67,68,70,71,75,76,77,78,79,80,81,82,86,90,92,
93,97,99,100,101,102,107,108,109,110,111,113,115,116,119,122,123,126,127,128,
129,130,133,135,136,137,140,141,144,165,166,167,171,173,175,176,177,178,179,
180,183,184,185,186,187,188,190,191,193,194,197,198,199,200,201,202,203,204,
205,206,208,209,210,212,213,215,217,220,221,222,223,225,226,227,228,230,231,
233,234,235,239,240,241,242,243,244,249,250,251,252,253,254,255,256,260,261,
262,264,265,267,268,269,270,272,273,276,279,280,281,282,283,284,285,286,287,
290,291,292,295,296,297,299,300,304,310,312,315,320,321,322,324,325,326,333,
334,339,341,343,344,346,347,348,350,353,359,363,373,374,377,438,440,441,442,
444,445,446,447,448,449,450,451,452,454,455,457,458,459,462,464,465,466,467,
469,471,472,473,474,475,476,480,485,487,488,493,495,498,500,501,506,507,508,
510,513,514,515,516,517,520,521,528,529,530,535,538,543,546,548,555,556,562,
567,570,572,575,578,579,580,581,586,587,590,592,593,594,600,606,607,608,609,
615,616,618,622,625,626,629,630,636,646,648,649,650,651,657,661,662,666,669,
671,672,673,674,675,676,677,681,683,686,688,689,690,691,693,698,712,713,731,
746,754,755,756,758,759,762,831,834,843,847,849,850,851,852,853,855,856,857,
858,862,863,864,866,875,878,879,881,889,891,892,896,897,900,904,907,910,911,
912,913,915,917,919,923,925,927,928,929,939,940,942,946,947,949,953,954,955,
959,961,976,994,995,1010,1014,1022,1023,1031,1033,1047,1049,1051,1058,1060,
1066,1079,1083,1085,1091,1093,1154,1159,1162,1163,1169,1173,1175,1179,1180,
1181,1182,1187,1191,1197,1218,1221,1222,1224,1230,1246,1250,1252,1259,1261,
1265,1266,1269,1350,1364,1365,1369,1371,1373,1377,1443],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,29,40,41,43,44,45,47,49,50,51,52,
53,54,56,57,61,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,89,90,91,
92,93,94,95,96,97,98,100,101,102,103,104,106,108,109,111,112,113,114,115,118,
119,124,125,131,134,138,139,140,142,143,144,166,167,170,174,175,176,177,178,
179,183,184,186,189,191,192,193,194,195,196,198,202,203,204,206,207,208,209,
210,211,212,213,214,216,217,220,221,222,224,225,226,228,229,231,232,233,234,
235,236,238,239,240,242,245,246,248,249,250,251,252,254,255,256,259,260,261,
262,266,267,268,269,271,275,277,278,283,284,285,286,292,295,298,302,305,306,
308,309,311,312,313,314,315,317,318,319,320,323,324,327,328,329,330,333,335,
336,337,338,345,347,348,349,350,351,352,353,354,356,358,359,366,391,398,402,
440,441,442,443,444,445,446,447,448,450,451,452,453,461,462,466,473,474,475,
476,477,478,481,482,483,484,486,487,488,489,491,492,494,495,496,497,499,502,
504,511,515,518,519,530,533,536,540,541,544,547,551,553,554,557,558,560,563,
564,566,569,570,574,577,578,579,580,581,585,586,588,592,595,596,599,600,606,
608,610,615,616,617,618,630,635,638,643,644,645,650,655,656,658,661,662,663,
665,666,669,672,673,674,675,676,682,683,684,687,689,696,697,702,709,711,718,
719,721,722,723,726,727,729,733,739,744,751,753,832,835,843,845,847,848,850,
851,852,854,858,860,863,864,867,876,877,879,881,882,883,886,887,888,889,892,
893,894,898,901,902,903,904,905,907,911,913,916,917,919,922,923,926,931,933,
935,936,941,942,948,953,954,960,964,978,979,980,981,983,994,999,1001,1006,
1019,1020,1029,1035,1038,1040,1046,1057,1062,1063,1078,1086,1094,1095,1164,
1166,1175,1176,1179,1180,1185,1186,1188,1192,1195,1206,1212,1213,1214,1216,
1223,1228,1229,1242,1243,1256,1257,1259,1260,1263,1265,1281,1294,1346,1347,
1348,1351,1352,1368,1371,1444],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,28,29,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,65,
66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,
108,109,111,112,113,114,115,116,119,123,124,125,126,127,128,130,131,133,134,
136,137,138,139,141,142,143,164,165,166,167,168,172,175,176,177,178,179,180,
185,191,193,194,198,199,201,202,203,204,206,207,208,209,210,212,213,216,220,
221,222,223,227,230,231,232,233,236,238,239,240,242,243,244,245,246,248,249,
250,251,253,254,256,257,258,260,264,265,266,268,270,275,277,278,281,285,292,
293,295,296,297,298,300,301,302,305,307,309,310,313,316,317,319,322,327,328,
329,330,332,333,334,336,337,339,343,344,345,346,348,349,351,352,353,355,356,
357,358,359,370,380,385,387,388,395,439,440,441,443,444,445,446,447,448,449,
450,451,452,453,455,459,460,461,462,463,464,466,468,470,471,472,474,475,476,
477,478,483,484,486,487,488,491,495,498,503,505,506,510,512,515,517,521,524,
527,533,534,536,540,541,544,545,550,553,557,558,559,560,561,563,564,567,569,
572,577,581,582,583,585,587,588,589,593,595,596,600,605,606,607,613,619,621,
622,624,628,629,631,638,644,645,647,648,649,651,652,657,663,666,669,675,676,
677,680,681,686,690,691,697,719,725,728,743,744,745,754,770,774,831,836,843,
845,846,847,848,849,850,851,854,859,860,861,863,865,866,868,873,875,876,877,
878,880,883,886,887,891,892,894,896,898,899,901,902,906,907,910,912,913,916,
918,919,922,924,926,931,939,942,943,947,949,957,958,963,965,969,973,984,989,
1000,1002,1005,1007,1021,1029,1043,1045,1047,1048,1070,1156,1159,1162,1164,
1165,1169,1171,1174,1177,1178,1180,1188,1199,1200,1201,1208,1228,1229,1239,
1253,1254,1256,1257,1264,1267,1269,1270,1352,1359,1360,1366,1367,1372,1377,
1445],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,30,
31,40,41,44,45,47,49,50,51,53,54,56,57,60,63,65,66,67,68,70,71,72,74,75,76,77,
78,79,80,81,82,86,90,92,93,96,97,99,100,102,103,105,107,108,109,110,113,114,
115,116,119,120,122,123,124,125,126,127,128,129,130,131,133,134,135,136,137,
138,141,143,144,166,167,171,173,175,176,177,178,179,183,184,186,188,190,191,
193,194,197,198,200,202,203,204,205,206,207,208,209,210,212,213,215,216,217,
221,222,223,225,226,227,228,230,231,233,234,238,239,241,242,243,244,249,250,
251,252,253,254,256,260,261,262,265,267,268,269,270,275,277,278,280,282,283,
284,285,286,287,288,289,292,296,297,298,299,300,302,304,305,313,315,317,321,
322,324,325,326,327,330,331,334,337,338,339,341,342,343,345,348,349,350,351,
352,353,354,356,358,359,360,363,364,367,373,374,376,377,381,389,390,394,440,
441,442,443,444,445,446,447,448,450,451,452,453,457,461,464,466,467,469,471,
472,474,475,476,477,484,485,487,491,493,495,497,498,500,501,507,508,513,514,
515,516,517,520,528,529,530,533,535,536,538,540,541,543,546,548,553,555,556,
557,558,562,563,567,569,570,572,577,580,581,585,586,587,588,590,592,594,595,
598,600,608,615,616,618,626,629,630,647,649,650,654,655,657,661,662,663,666,
668,669,672,673,674,675,681,682,683,684,690,693,695,697,698,699,700,705,714,
715,717,719,733,738,741,744,747,756,761,764,771,772,834,835,843,845,848,850,
851,852,854,855,857,859,860,863,864,876,877,878,880,881,882,883,887,888,889,
892,893,894,896,897,898,900,901,902,903,907,910,911,912,914,917,923,925,926,
928,933,934,935,943,947,951,954,955,956,975,985,995,1003,1004,1010,1015,1019,
1020,1022,1023,1031,1038,1044,1048,1049,1051,1060,1062,1063,1064,1071,1072,
1164,1166,1168,1169,1173,1175,1178,1182,1185,1189,1194,1195,1197,1199,1200,
1211,1214,1216,1217,1229,1231,1245,1248,1250,1260,1264,1265,1291,1293,1350,
1351,1355,1366,1374,1375,1378,1446],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,40,41,43,44,45,47,49,50,51,52,53,54,56,57,58,61,62,65,
66,67,68,69,70,71,73,75,76,77,79,80,81,82,89,90,91,92,93,94,95,97,98,100,101,
102,104,105,106,108,109,111,112,113,115,117,118,119,120,121,136,142,144,166,
167,170,174,175,176,177,178,179,183,184,185,186,189,191,192,193,194,195,196,
202,204,206,208,210,211,212,213,214,217,218,219,220,222,224,225,228,229,231,
232,233,234,235,236,239,240,242,245,246,248,249,250,251,252,254,255,256,259,
260,261,262,263,266,267,269,271,274,281,283,285,286,288,289,292,294,295,300,
303,306,308,311,314,317,318,323,324,328,329,331,333,335,338,339,340,342,343,
348,350,353,354,356,359,386,392,393,403,440,441,442,444,445,446,447,450,451,
453,455,456,462,473,474,477,478,479,481,482,483,486,487,488,489,490,492,494,
496,497,499,502,504,509,511,515,518,519,522,530,544,547,551,554,560,566,570,
571,574,580,581,587,592,596,598,599,600,606,610,615,617,630,634,635,637,638,
643,650,651,654,655,656,657,658,661,662,663,664,665,666,668,669,674,675,676,
677,682,684,685,686,687,690,696,704,708,710,716,727,733,735,737,751,753,773,
831,832,833,835,841,844,847,849,851,854,858,860,863,867,877,878,888,889,891,
893,903,905,907,909,910,911,913,914,917,919,931,933,934,935,936,941,942,944,
945,947,948,951,952,964,979,981,994,997,998,1006,1009,1029,1037,1040,1054,
1057,1073,1076,1080,1081,1084,1087,1092,1162,1168,1169,1176,1180,1184,1185,
1186,1198,1205,1207,1209,1212,1225,1244,1255,1257,1259,1260,1262,1263,1268,
1286,1293,1344,1348,1358,1361,1375,1376,1377,1447],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,40,41,44,45,47,49,50,51,53,
54,56,57,58,60,62,63,65,66,68,70,71,75,76,77,78,79,80,81,82,86,90,92,93,97,99,
100,102,107,108,109,110,113,115,116,117,119,121,122,123,126,127,128,129,130,
133,135,137,139,140,141,144,145,146,166,167,171,173,175,176,177,178,179,183,
184,185,186,188,190,193,194,197,200,202,203,204,205,206,208,210,212,213,215,
217,218,219,222,223,225,227,228,230,231,233,234,239,241,242,243,244,249,250,
251,252,253,254,256,260,261,262,263,265,267,269,270,274,280,281,282,283,285,
286,287,292,294,296,297,299,303,304,309,312,317,319,320,321,322,324,325,326,
334,336,338,340,341,345,347,348,349,350,354,356,363,373,374,377,382,383,384,
396,441,442,444,445,446,447,450,451,452,453,455,456,457,464,467,469,471,472,
474,477,479,485,487,490,493,497,498,500,501,507,508,509,513,514,515,516,517,
520,522,528,529,530,535,538,543,546,548,555,556,562,564,567,569,570,571,572,
578,579,581,590,592,594,600,608,615,626,629,630,644,645,647,649,650,651,655,
661,662,663,666,669,674,677,681,682,684,686,689,693,701,703,706,712,713,714,
724,731,733,738,747,748,755,757,764,777,831,833,834,835,841,844,849,851,854,
855,857,859,860,863,877,879,880,882,886,888,889,891,893,896,897,900,903,904,
907,909,911,912,916,922,925,928,933,935,943,944,945,952,953,955,956,1010,1030,
1033,1036,1048,1049,1051,1053,1058,1060,1068,1069,1071,1074,1079,1085,1088,
1089,1162,1173,1178,1179,1182,1184,1185,1188,1190,1217,1219,1220,1222,1231,
1235,1238,1240,1245,1246,1255,1260,1264,1273,1281,1344,1349,1353,1364,1367,
1368,1374,1448],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
28,29,31,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,64,65,66,67,68,70,
71,72,74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,105,106,108,109,
111,112,113,114,115,116,119,120,123,126,127,128,130,131,133,136,137,139,140,
141,142,143,164,165,166,167,168,169,172,175,176,177,178,179,180,183,184,186,
187,191,193,194,198,199,201,202,203,204,206,207,208,209,210,212,213,216,217,
220,221,222,223,225,227,230,231,232,233,235,236,238,239,240,242,243,244,245,
246,248,249,250,251,253,254,255,256,257,258,260,264,265,266,268,269,270,272,
273,275,276,277,278,279,282,285,287,288,289,290,291,292,293,295,296,297,300,
301,307,309,310,312,316,317,319,320,322,324,328,329,331,332,333,334,336,338,
339,342,343,344,345,346,347,348,349,350,353,354,355,356,357,359,370,380,385,
387,388,395,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,
454,458,459,460,462,463,464,465,466,468,470,471,472,473,474,475,477,478,480,
483,486,487,488,491,497,498,503,505,506,508,510,512,515,517,521,523,534,540,
544,545,550,553,558,559,560,561,564,567,569,572,575,577,578,579,580,581,582,
583,587,589,592,593,596,598,600,605,606,607,608,609,613,619,621,622,624,625,
628,629,630,631,636,638,644,645,646,647,648,649,652,654,655,657,663,666,668,
669,671,674,675,676,680,681,682,684,688,689,690,691,696,707,714,720,725,727,
730,733,736,738,742,744,745,746,747,751,752,753,754,758,759,762,764,765,767,
770,774,835,836,843,845,846,853,854,856,857,858,861,862,863,865,866,870,878,
879,882,886,888,893,896,899,902,903,904,906,907,910,911,914,915,916,917,918,
919,922,924,927,929,931,933,934,935,939,940,943,946,947,949,951,953,954,956,
961,963,964,965,968,969,976,989,992,994,1000,1002,1007,1008,1011,1013,1014,
1018,1029,1038,1043,1045,1047,1048,1050,1052,1057,1060,1061,1070,1071,1082,
1083,1090,1100,1101,1152,1166,1167,1168,1169,1171,1174,1179,1185,1187,1188,
1193,1204,1210,1218,1221,1227,1231,1236,1237,1239,1251,1253,1261,1263,1266,
1267,1281,1282,1293,1298,1356,1362,1363,1365,1368,1372,1375,1449],[1,2,3,4,5,
6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,40,41,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,61,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,
89,90,91,92,93,94,95,97,98,100,101,102,104,105,106,108,109,111,112,113,115,
118,119,120,139,142,144,165,166,167,170,174,175,176,177,178,179,180,183,184,
185,186,187,189,191,192,193,194,195,196,198,199,201,202,203,204,206,208,209,
210,211,212,213,214,217,220,221,222,224,225,226,228,229,231,232,233,234,235,
236,239,240,242,244,245,246,248,249,250,251,252,253,254,255,256,259,260,261,
262,264,266,267,268,269,271,272,273,276,279,281,282,283,284,285,286,287,288,
289,290,291,292,295,296,306,308,309,310,311,314,315,318,319,322,323,328,329,
331,333,335,336,338,342,344,345,346,348,349,354,438,440,441,442,444,445,446,
447,448,449,450,451,452,454,455,458,459,462,465,466,472,473,474,475,476,478,
480,481,482,483,486,487,488,489,492,494,495,496,499,502,504,506,508,510,511,
515,517,518,519,521,530,544,547,551,554,560,564,566,569,570,574,575,580,581,
586,592,593,596,598,599,600,607,608,609,610,615,616,617,618,622,625,634,635,
636,637,638,643,644,645,646,647,648,649,650,651,654,656,658,661,662,664,665,
666,668,669,671,672,673,674,676,677,683,684,685,686,687,688,691,711,720,730,
739,754,765,767,831,832,843,849,850,852,853,856,857,858,859,860,862,863,864,
866,867,875,880,881,882,886,889,891,892,893,905,907,912,913,914,915,916,922,
923,927,929,931,934,936,939,940,941,943,946,948,949,951,954,959,961,965,978,
979,981,994,1006,1013,1014,1040,1046,1052,1060,1066,1080,1084,1086,1087,1091,
1092,1093,1095,1153,1159,1162,1168,1172,1175,1176,1178,1183,1186,1187,1188,
1191,1192,1205,1210,1223,1224,1227,1230,1237,1244,1245,1252,1261,1265,1270,
1347,1357,1361,1362,1367,1373,1378,1450],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
16,17,18,19,24,25,32,40,41,44,45,47,49,50,51,53,54,56,57,58,62,65,66,68,70,75,
76,79,80,81,82,108,113,115,117,119,121,147,148,149,158,166,167,175,176,177,
178,179,183,184,185,186,193,194,206,208,210,212,213,217,218,219,222,225,231,
233,239,242,251,254,256,260,263,269,274,281,285,292,294,303,324,338,340,348,
350,354,407,408,409,410,414,416,441,442,444,445,446,447,450,451,453,455,456,
474,477,479,490,497,509,515,522,571,581,592,600,630,651,655,666,669,677,682,
684,686,733,779,781,794,797,818,819,824,831,833,835,841,844,849,854,863,891,
893,903,907,909,911,933,935,944,945,952,1110,1111,1113,1162,1184,1185,1255,
1305,1308,1318,1328,1344,1451],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,26,27,28,30,31,32,37,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,59,60,61,63,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,106,107,
108,109,110,111,112,113,114,115,116,118,122,123,126,127,128,129,130,131,132,
133,135,137,141,142,143,144,147,148,150,151,153,164,165,166,167,168,170,171,
172,173,174,175,176,177,178,179,180,181,182,188,189,190,192,193,194,195,196,
197,198,199,200,201,202,204,205,206,207,208,209,210,211,212,213,214,215,216,
220,222,223,224,227,228,229,230,231,232,233,234,236,237,238,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,257,258,259,260,261,262,264,265,
266,267,270,271,275,277,278,280,283,285,286,293,297,299,301,304,306,307,308,
310,311,314,316,318,321,323,325,326,328,329,332,334,335,341,348,355,357,361,
362,363,365,368,369,370,371,372,373,374,375,377,378,379,380,385,387,388,395,
397,399,400,401,407,408,409,410,413,415,417,418,420,421,424,427,428,432,433,
439,441,443,444,445,446,447,448,449,450,451,453,457,459,460,463,464,467,468,
469,470,471,472,478,481,482,483,485,486,487,488,489,491,492,493,494,496,498,
499,500,501,502,503,504,505,506,507,511,512,513,514,516,518,519,520,525,526,
528,529,530,531,532,534,535,537,538,539,540,542,543,544,546,547,548,549,551,
552,554,555,556,559,560,561,562,565,566,567,568,570,572,573,574,576,577,582,
583,584,590,591,594,596,597,599,601,604,605,607,610,611,612,613,614,615,617,
619,620,621,623,624,626,627,628,629,631,632,633,635,638,639,641,642,643,650,
652,653,656,658,659,660,661,662,665,666,667,669,670,678,679,681,687,691,693,
694,732,734,740,745,760,775,776,784,787,792,803,804,806,807,811,827,828,832,
834,836,837,838,839,840,842,845,846,855,861,863,865,866,867,869,871,884,885,
889,890,895,896,897,900,905,908,918,920,921,924,925,928,930,931,932,936,937,
938,941,948,950,955,962,970,971,972,974,977,979,981,982,986,987,988,989,990,
991,993,1000,1006,1010,1024,1025,1027,1028,1032,1034,1039,1040,1041,1042,1043,
1049,1051,1056,1059,1067,1070,1077,1110,1115,1118,1124,1174,1176,1182,1202,
1215,1232,1233,1234,1271,1283,1313,1316,1321,1325,1326,1327,1331,1333,1342,
1343,1345,1452],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
27,28,30,31,32,33,34,35,36,37,38,41,42,43,44,45,48,49,50,51,52,54,56,59,63,68,
69,70,71,72,73,74,77,79,84,85,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,120,122,123,124,
125,127,128,129,130,131,132,133,134,135,137,138,140,141,142,143,144,147,151,
152,154,155,156,157,158,159,160,161,162,164,166,168,170,171,175,179,181,185,
189,190,192,195,197,199,200,202,205,206,207,208,209,210,211,212,214,215,216,
220,223,224,227,228,229,230,232,234,236,237,238,240,241,244,245,247,248,249,
250,251,253,254,259,260,261,262,265,266,267,270,271,275,277,278,280,281,283,
285,286,288,289,299,301,302,304,305,306,307,308,311,312,314,316,318,320,321,
327,330,331,337,341,342,347,355,358,360,361,364,365,366,367,369,370,371,372,
374,375,376,377,378,379,381,387,388,389,390,391,394,395,397,398,399,400,401,
402,405,406,408,411,412,415,419,425,426,429,434,435,436,437,439,443,445,455,
460,461,469,478,481,484,492,493,494,498,500,501,502,503,504,505,507,511,514,
518,520,524,526,527,530,531,532,534,535,541,542,543,544,546,547,548,552,554,
556,561,563,565,567,572,573,574,576,577,578,579,582,590,594,597,598,599,601,
604,607,612,614,617,619,623,624,634,637,638,641,642,643,652,653,654,656,660,
661,662,664,667,668,669,670,678,685,687,689,693,695,699,700,702,705,707,709,
712,713,715,717,718,721,722,723,726,728,729,731,732,734,736,740,741,742,743,
752,755,761,771,772,775,779,780,781,782,783,786,787,790,801,802,812,815,826,
831,840,846,848,868,873,884,895,900,932,938,941,951,953,960,975,980,981,982,
983,985,987,991,993,999,1001,1003,1004,1008,1015,1024,1033,1042,1044,1049,
1067,1070,1077,1078,1084,1085,1090,1092,1098,1099,1102,1103,1104,1105,1107,
1108,1112,1113,1114,1116,1117,1119,1120,1121,1122,1123,1125,1127,1128,1133,
1156,1189,1202,1204,1213,1244,1246,1274,1280,1290,1292,1302,1308,1310,1315,
1320,1323,1324,1329,1335,1336,1337,1341,1388,1404,1405,1410,1411,1413,1422,
1429,1453],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,
28,29,30,31,32,33,34,35,36,37,38,41,42,44,45,48,49,50,51,54,56,58,59,60,61,62,
68,70,71,75,76,77,79,80,81,86,87,89,91,92,93,94,95,96,98,99,100,101,102,103,
107,108,111,112,113,114,115,116,117,118,121,122,123,126,127,128,129,130,131,
132,133,135,136,137,139,142,143,144,145,146,147,149,151,152,154,155,156,157,
158,159,160,161,162,164,166,168,173,174,176,178,182,188,189,190,192,193,195,
196,198,199,200,204,205,206,207,209,210,212,214,215,218,219,220,223,227,228,
229,230,231,232,236,237,238,240,241,242,243,244,245,246,247,248,249,250,251,
252,253,254,260,261,262,263,265,267,271,274,277,280,283,285,286,294,299,300,
301,303,304,309,316,319,323,325,326,335,336,339,340,343,362,363,368,370,371,
373,382,383,384,386,387,388,392,393,395,396,400,403,405,406,408,411,412,414,
415,416,419,422,425,426,429,430,434,435,436,437,439,444,448,456,457,464,467,
468,469,479,482,485,486,489,494,496,499,503,505,513,514,516,518,519,522,528,
529,531,534,537,538,539,542,543,544,546,549,551,554,555,562,564,566,567,568,
570,571,572,573,576,577,582,584,586,587,591,605,607,610,611,615,619,620,624,
626,627,632,633,635,638,639,644,645,650,652,653,656,657,658,659,665,669,670,
679,690,701,703,704,706,708,710,716,724,735,737,748,757,773,777,780,781,782,
783,786,787,790,801,802,809,812,815,816,819,822,823,824,826,833,842,861,864,
872,874,878,920,921,922,928,932,936,938,969,971,977,988,995,997,998,1007,1009,
1010,1025,1027,1031,1032,1034,1036,1037,1040,1041,1046,1053,1054,1069,1070,
1073,1074,1088,1089,1095,1111,1121,1122,1123,1125,1127,1128,1133,1147,1148,
1155,1192,1197,1209,1234,1235,1253,1272,1275,1278,1287,1303,1307,1311,1312,
1318,1319,1322,1341,1392,1407,1408,1409,1412,1418,1419,1420,1454],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,31,32,33,34,35,36,37,
38,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,64,65,66,67,68,70,71,72,
74,75,76,77,78,79,80,81,82,83,91,94,96,98,101,103,104,106,108,109,111,112,113,
114,115,116,119,123,126,127,128,130,131,133,137,141,142,143,147,148,151,152,
154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,172,175,176,177,
178,179,180,183,184,186,187,191,193,194,198,199,201,202,203,204,206,207,208,
209,210,212,213,216,217,220,221,222,223,225,227,230,231,232,233,235,236,238,
239,240,242,243,244,245,246,248,249,250,251,253,254,255,256,257,258,260,264,
265,266,268,269,270,272,273,275,276,277,278,279,282,285,287,290,291,292,293,
295,296,297,301,307,310,316,317,322,324,328,329,332,333,334,338,344,345,346,
348,349,350,353,354,355,356,357,359,370,380,385,387,388,395,405,406,407,408,
409,410,411,412,415,419,425,426,427,429,431,434,435,436,437,438,439,440,441,
442,443,444,445,446,447,448,449,450,451,452,453,454,458,459,460,462,463,464,
465,466,468,470,471,472,473,474,475,477,478,480,483,486,487,488,491,497,498,
503,505,506,508,510,512,515,517,521,523,534,540,544,545,550,553,558,559,560,
561,567,569,572,575,577,580,581,582,583,589,592,593,596,600,605,606,607,608,
609,613,619,621,622,624,625,628,629,630,631,636,638,646,647,648,649,652,655,
663,666,669,671,674,675,676,680,681,682,684,688,691,696,714,720,727,730,733,
738,744,745,746,747,751,753,754,758,759,762,764,765,767,780,781,782,783,784,
785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,
812,815,818,820,826,835,836,843,845,846,853,854,856,857,858,861,862,863,865,
866,870,882,888,893,896,899,902,903,906,907,911,915,917,918,919,924,927,929,
931,933,935,939,940,943,946,949,954,956,961,964,965,968,976,989,994,1000,1011,
1013,1014,1018,1029,1038,1043,1045,1047,1048,1050,1052,1057,1060,1061,1070,
1071,1083,1100,1101,1110,1121,1122,1123,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1144,1152,1166,1167,
1171,1174,1185,1187,1227,1231,1236,1251,1261,1263,1266,1267,1282,1298,1304,
1305,1306,1309,1314,1316,1317,1339,1340,1341,1356,1403,1421,1423,1424,1425,
1426,1427,1455],[1,2,3,4,5,6,7,8,9,10,11,13,14,16,17,23,28,31,32,33,34,35,36,
37,38,43,45,46,47,48,51,52,53,56,61,62,66,67,74,75,78,80,81,109,112,113,114,
116,117,119,121,125,130,136,138,140,142,151,152,154,155,156,157,158,159,160,
161,162,167,170,174,175,176,186,187,189,192,201,203,231,235,258,268,272,273,
274,276,278,282,284,285,292,295,296,297,298,300,303,313,315,320,327,328,332,
340,344,349,350,351,353,354,356,366,370,386,393,398,407,417,418,425,426,429,
434,435,436,437,438,446,452,458,476,479,482,484,490,510,511,550,557,558,578,
583,585,588,603,609,618,648,651,655,672,690,709,710,718,730,735,738,749,753,
762,763,766,784,785,791,793,795,797,798,807,811,813,814,821,825,826,832,853,
859,879,901,910,945,958,967,983,1017,1019,1037,1050,1076,1093,1094,1126,1129,
1131,1132,1135,1138,1142,1143,1149,1153,1196,1200,1218,1219,1242,1262,1321,
1340,1390,1406,1417,1428,1456],[1,2,3,4,5,6,7,8,9,10,11,15,16,17,19,23,25,26,
28,29,31,32,33,34,35,36,37,38,45,46,47,48,49,50,53,58,60,63,66,67,74,75,78,80,
81,86,105,109,112,113,114,116,117,119,120,121,122,124,130,134,139,142,146,150,
151,152,154,155,156,157,158,159,160,161,162,167,171,173,178,179,186,187,191,
201,205,215,226,231,235,254,258,263,268,273,276,278,282,290,292,294,295,296,
297,302,313,315,319,328,331,332,340,344,349,350,351,352,353,354,356,360,364,
370,383,384,390,394,407,413,420,423,425,426,429,433,434,435,436,437,438,440,
450,457,461,480,495,507,509,521,522,533,536,550,558,583,595,598,609,616,645,
648,655,673,677,692,699,703,715,724,730,738,749,753,762,768,769,784,785,791,
793,795,797,798,804,805,806,808,810,817,826,834,847,856,883,886,914,944,1003,
1005,1012,1020,1026,1050,1068,1069,1072,1091,1126,1129,1131,1132,1135,1138,
1142,1145,1146,1154,1190,1194,1207,1226,1237,1256,1313,1340,1385,1414,1415,
1416,1457],[1,2,3,4,8,9,10,11,12,18,24,39,40,41,42,44,45,46,47,48,53,54,55,57,
59,64,65,66,79,82,83,163,164,165,166,167,168,169,172,177,180,183,184,186,187,
194,199,201,210,213,217,222,225,233,264,269,279,291,310,348,438,439,441,442,
449,453,454,465,470,497,523,592,625,671,691,829,830,835,836,862,870,1150,1151,
1152,1458],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
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,
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,
392,393,394,395,396,397,398,399,400,401,402,403,438,439,440,441,442,443,444,
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,
768,769,770,771,772,773,774,775,776,777,831,832,833,834,835,836,837,838,839,
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,
1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1152,1153,1154,1155,
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,
1291,1292,1293,1294,1295,1296,1297,1298,1344,1345,1346,1347,1348,1349,1350,
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,
1396,1397,1398,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,
1448,1449,1450,1459],[1,3,6,7,12,14,15,21,27,28,33,36,37,39,42,43,63,68,69,88,
96,97,98,110,120,124,128,138,140,147,153,161,185,224,289,312,316,321,337,364,
366,376,401,402,404,405,415,418,419,420,432,524,526,637,723,731,742,761,779,
812,814,817,830,1102,1114,1117,1118,1120,1299,1334,1337,1460],[1,2,3,4,5,6,7,
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,37,38,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,106,107,108,109,110,111,112,113,114,115,
116,118,119,122,123,126,127,128,129,130,131,132,133,135,137,141,142,143,144,
147,148,150,151,153,155,158,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,220,221,222,223,224,225,227,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,264,265,266,267,268,269,270,271,272,273,275,276,
277,278,279,280,282,283,285,286,287,290,291,292,293,295,296,297,299,301,304,
306,307,308,310,311,314,316,317,318,321,322,323,324,325,326,328,329,332,333,
334,335,338,341,344,345,346,348,349,350,353,354,355,356,357,359,361,362,363,
365,368,369,370,371,372,373,374,375,377,378,379,380,385,387,388,395,397,399,
400,401,407,408,409,410,411,413,415,417,418,420,421,424,427,428,431,432,433,
435,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,457,
458,459,460,462,463,464,465,466,467,468,469,470,471,472,473,474,475,477,478,
480,481,482,483,485,486,487,488,489,491,492,493,494,496,497,498,499,500,501,
502,503,504,505,506,507,508,510,511,512,513,514,515,516,517,518,519,520,521,
523,525,526,528,529,530,531,532,534,535,537,538,539,540,542,543,544,545,546,
547,548,549,550,551,552,553,554,555,556,558,559,560,561,562,565,566,567,568,
569,570,572,573,574,575,576,577,580,581,582,583,584,589,590,591,592,593,594,
596,597,599,600,601,604,605,606,607,608,609,610,611,612,613,614,615,617,619,
620,621,622,623,624,625,626,627,628,629,630,631,632,633,635,636,638,639,641,
642,643,646,647,648,649,650,652,653,655,656,658,659,660,661,662,663,665,666,
667,669,670,671,674,675,676,678,679,680,681,682,684,687,688,691,693,694,696,
714,720,727,730,732,733,734,738,740,744,745,746,747,751,753,754,758,759,760,
762,764,765,767,775,776,780,781,784,787,792,794,795,796,797,803,804,806,807,
811,818,820,827,828,832,834,835,836,837,838,839,840,842,843,845,846,847,851,
853,854,855,856,857,858,859,860,861,862,863,865,866,867,869,870,871,875,877,
880,882,884,885,888,889,890,893,895,896,897,899,900,902,903,905,906,907,908,
911,912,913,915,917,918,919,920,921,924,925,927,928,929,930,931,932,933,935,
936,937,938,939,940,941,942,943,946,948,949,950,954,955,956,961,962,964,965,
968,970,971,972,974,976,977,979,981,982,986,987,988,989,990,991,993,994,1000,
1006,1010,1011,1013,1014,1018,1024,1025,1027,1028,1029,1032,1034,1038,1039,
1040,1041,1042,1043,1045,1047,1048,1049,1050,1051,1052,1056,1057,1059,1060,
1061,1067,1070,1071,1077,1083,1100,1101,1110,1115,1118,1124,1125,1129,1130,
1144,1152,1153,1154,1158,1163,1166,1167,1171,1172,1173,1174,1176,1178,1180,
1181,1182,1183,1185,1186,1187,1202,1208,1212,1215,1217,1227,1230,1231,1232,
1233,1234,1236,1245,1251,1257,1258,1259,1260,1261,1263,1264,1266,1267,1269,
1270,1271,1282,1283,1298,1305,1313,1316,1317,1321,1325,1326,1327,1331,1333,
1342,1343,1345,1348,1356,1357,1360,1369,1374,1391,1395,1403,1406,1415,1432,
1436,1452,1461],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,26,27,28,30,31,32,33,34,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,59,60,61,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,118,119,120,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,137,138,140,141,142,143,144,147,148,150,151,
152,153,154,161,162,164,165,166,167,168,170,171,172,173,174,175,176,177,178,
179,180,181,182,185,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,220,221,222,223,
224,227,228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,254,256,257,258,259,260,261,262,264,265,266,
267,268,270,271,275,277,278,280,281,283,285,286,288,289,292,293,297,298,299,
301,302,304,305,306,307,308,310,311,312,313,314,316,317,318,320,321,323,325,
326,327,328,329,330,331,332,334,335,337,341,342,344,345,346,347,348,349,351,
352,353,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,385,387,388,389,390,391,394,395,397,
398,399,400,401,402,405,406,407,408,409,410,413,415,417,418,419,420,421,424,
427,428,432,433,437,439,441,443,444,445,446,447,448,449,450,451,453,455,457,
459,460,461,462,463,464,467,468,469,470,471,472,474,475,476,478,481,482,483,
484,485,486,487,488,489,491,492,493,494,495,496,498,499,500,501,502,503,504,
505,506,507,510,511,512,513,514,516,517,518,519,520,521,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,565,566,567,
568,569,570,572,573,574,576,577,578,579,581,582,583,584,585,588,589,590,591,
593,594,595,596,597,598,599,600,601,604,605,606,607,610,611,612,613,614,615,
617,619,620,621,623,624,626,627,628,629,631,632,633,634,635,637,638,639,641,
642,643,647,650,651,652,653,654,656,658,659,660,661,662,663,664,665,666,667,
668,669,670,675,677,678,679,680,681,685,686,687,689,691,693,694,695,697,699,
700,702,705,707,709,712,713,715,717,718,719,721,722,723,726,728,729,731,732,
734,736,740,741,742,743,744,745,752,755,760,761,771,772,775,776,782,784,785,
786,787,792,793,799,800,803,804,805,806,807,811,812,814,815,817,825,827,828,
831,832,834,836,837,838,839,840,842,845,846,848,849,850,855,861,863,865,866,
867,868,869,871,873,876,879,883,884,885,887,889,890,891,892,894,895,896,897,
898,899,900,901,902,904,905,906,907,908,914,918,920,921,924,925,926,928,930,
931,932,934,936,937,938,939,941,948,950,951,953,955,957,958,960,962,965,970,
971,972,973,974,975,977,979,980,981,982,983,984,985,986,987,988,989,990,991,
992,993,999,1000,1001,1003,1004,1005,1006,1008,1010,1015,1021,1024,1025,1027,
1028,1029,1032,1033,1034,1035,1039,1040,1041,1042,1043,1044,1047,1048,1049,
1051,1056,1058,1059,1064,1067,1070,1072,1077,1078,1079,1080,1082,1084,1085,
1087,1090,1092,1094,1098,1099,1102,1103,1104,1105,1107,1108,1110,1115,1118,
1123,1124,1131,1137,1145,1149,1156,1159,1162,1164,1165,1168,1174,1176,1177,
1179,1182,1189,1193,1194,1201,1202,1204,1205,1206,1211,1213,1215,1222,1229,
1232,1233,1234,1242,1243,1244,1246,1248,1254,1267,1271,1274,1276,1279,1280,
1283,1284,1289,1290,1291,1292,1294,1309,1313,1314,1316,1321,1325,1326,1327,
1331,1332,1333,1334,1342,1343,1345,1346,1355,1359,1361,1363,1364,1379,1386,
1388,1389,1414,1421,1428,1433,1435,1442,1452,1462],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,37,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,121,122,123,126,127,128,129,130,131,132,133,135,136,137,139,141,
142,143,144,145,146,147,148,150,151,153,156,157,164,165,166,167,168,170,171,
172,173,174,175,176,177,178,179,180,181,182,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,218,219,220,221,222,223,224,226,227,228,229,230,231,232,233,234,235,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,
255,256,257,258,259,260,261,262,263,264,265,266,267,268,270,271,272,273,274,
275,276,277,278,280,282,283,284,285,286,287,290,292,293,294,297,298,299,300,
301,303,304,306,307,308,309,310,311,313,314,315,316,318,319,321,323,324,325,
326,328,329,332,334,335,336,338,339,340,341,343,348,350,351,352,354,355,357,
361,362,363,365,368,369,370,371,372,373,374,375,377,378,379,380,382,383,384,
385,386,387,388,392,393,395,396,397,399,400,401,403,407,408,409,410,412,413,
415,417,418,420,421,423,424,427,428,429,432,433,439,441,443,444,445,446,447,
448,449,450,451,453,456,457,458,459,460,463,464,467,468,469,470,471,472,473,
474,475,478,479,480,481,482,483,485,486,487,488,489,490,491,492,493,494,496,
498,499,500,501,502,503,504,505,506,507,508,509,511,512,513,514,516,518,519,
520,522,525,526,528,529,530,531,532,533,534,535,536,537,538,539,540,542,543,
544,546,547,548,549,551,552,554,555,556,559,560,561,562,564,565,566,567,568,
570,571,572,573,574,575,576,577,580,582,583,584,585,586,587,588,590,591,594,
596,597,599,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,
617,618,619,620,621,623,624,626,627,628,629,630,631,632,633,635,636,638,639,
640,641,642,643,644,645,646,647,650,651,652,653,655,656,657,658,659,660,661,
662,665,666,667,669,670,674,677,678,679,681,682,683,684,687,688,690,691,692,
693,694,697,698,701,703,704,706,708,710,711,716,719,724,725,732,733,734,735,
737,739,740,745,748,749,750,756,757,760,763,766,768,769,770,773,774,775,776,
777,783,784,787,788,789,790,791,792,798,803,804,806,807,808,810,811,813,821,
827,828,832,833,834,836,837,838,839,840,842,844,845,846,852,855,861,863,864,
865,866,867,869,871,872,874,876,878,881,884,885,886,887,889,890,891,892,895,
896,897,899,900,903,905,908,909,910,916,918,920,921,922,924,925,928,929,930,
931,932,936,937,938,941,944,945,946,947,948,950,952,954,955,962,963,966,967,
969,970,971,972,974,977,978,979,981,982,986,987,988,989,990,991,993,995,996,
997,998,1000,1002,1006,1007,1009,1010,1012,1022,1023,1024,1025,1027,1028,1030,
1031,1032,1034,1036,1037,1039,1040,1041,1042,1043,1046,1049,1051,1052,1053,
1054,1055,1056,1057,1059,1067,1068,1069,1070,1071,1073,1074,1075,1076,1077,
1081,1083,1086,1088,1089,1095,1096,1097,1106,1109,1110,1115,1118,1124,1132,
1133,1134,1143,1146,1155,1160,1161,1169,1170,1174,1175,1176,1182,1184,1188,
1190,1192,1195,1197,1202,1209,1215,1223,1225,1232,1233,1234,1235,1238,1239,
1240,1250,1251,1252,1253,1254,1262,1268,1271,1272,1273,1275,1277,1278,1283,
1286,1287,1288,1296,1297,1304,1306,1313,1316,1321,1325,1326,1327,1330,1331,
1333,1338,1342,1343,1345,1347,1349,1350,1358,1370,1372,1381,1383,1384,1392,
1416,1417,1426,1431,1434,1438,1452,1463],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,31,32,37,38,40,41,42,44,45,46,47,48,49,50,51,
53,54,55,56,57,58,59,62,64,65,66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,83,
91,94,96,98,101,103,104,106,108,109,111,112,113,114,115,116,117,119,121,123,
124,125,126,127,128,130,131,133,134,137,138,141,142,143,147,148,149,151,155,
158,164,165,166,167,168,169,172,175,176,177,178,179,180,183,184,185,186,187,
191,193,194,198,199,201,202,203,204,206,207,208,209,210,212,213,216,217,218,
219,220,221,222,223,225,226,227,230,231,232,233,235,236,238,239,240,242,243,
244,245,246,248,249,250,251,253,254,255,256,257,258,260,263,264,265,266,268,
269,270,272,273,274,275,276,277,278,279,281,282,284,285,287,290,291,292,293,
294,295,296,297,298,301,302,303,305,307,310,313,315,316,317,322,324,327,328,
329,330,332,333,334,337,338,340,344,345,346,348,349,350,351,352,353,354,355,
356,357,358,359,370,380,385,387,388,395,407,408,409,410,411,414,415,416,427,
431,435,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,
455,456,458,459,460,461,462,463,464,465,466,468,470,471,472,473,474,475,476,
477,478,479,480,483,484,486,487,488,490,491,495,497,498,503,505,506,508,509,
510,512,515,517,521,522,523,524,527,533,534,536,540,541,544,545,550,553,557,
558,559,560,561,563,567,569,571,572,575,577,580,581,582,583,585,586,588,589,
592,593,595,596,600,602,603,605,606,607,608,609,613,616,618,619,621,622,624,
625,628,629,630,631,636,638,640,646,647,648,649,651,652,655,663,666,669,671,
672,673,674,675,676,677,680,681,682,683,684,686,688,691,692,696,697,714,719,
720,727,728,730,733,738,743,744,745,746,747,749,750,751,753,754,758,759,762,
763,764,765,766,767,768,769,779,780,781,784,787,792,794,795,796,797,803,818,
819,820,824,831,833,835,836,841,843,844,845,846,848,849,850,852,853,854,856,
857,858,861,862,863,864,865,866,868,870,872,873,874,876,881,882,883,887,888,
891,892,893,894,896,898,899,901,902,903,906,907,909,911,915,917,918,919,923,
924,926,927,929,931,933,935,939,940,943,944,945,946,949,952,954,956,957,958,
959,961,964,965,966,967,968,973,976,984,989,994,996,1000,1005,1011,1012,1013,
1014,1016,1017,1018,1019,1020,1021,1026,1029,1038,1043,1045,1047,1048,1050,
1052,1055,1057,1060,1061,1062,1063,1065,1066,1070,1071,1075,1083,1091,1093,
1100,1101,1110,1111,1113,1116,1120,1125,1129,1130,1144,1152,1155,1156,1157,
1159,1160,1161,1162,1164,1165,1166,1167,1170,1171,1174,1175,1177,1184,1185,
1187,1191,1195,1196,1201,1203,1214,1216,1224,1226,1227,1229,1231,1236,1241,
1247,1249,1251,1252,1254,1255,1261,1263,1265,1266,1267,1282,1285,1295,1298,
1302,1305,1307,1308,1315,1316,1317,1318,1319,1328,1344,1351,1354,1356,1359,
1370,1373,1397,1398,1403,1407,1411,1430,1437,1451,1464],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,32,33,34,40,41,43,44,45,47,49,50,
51,52,53,54,56,57,58,61,62,65,66,67,68,69,70,71,73,75,76,77,79,80,81,82,89,90,
91,92,93,94,95,97,98,100,101,102,104,105,106,108,109,111,112,113,115,117,118,
119,120,121,136,142,144,147,148,149,154,157,158,166,167,170,174,175,176,177,
178,179,183,184,185,186,189,191,192,193,194,195,196,202,204,206,208,210,211,
212,213,214,217,218,219,220,222,224,225,228,229,231,232,233,234,235,236,239,
240,242,245,246,248,249,250,251,252,254,255,256,259,260,261,262,263,266,267,
269,271,274,281,283,285,286,288,289,292,294,295,300,303,306,308,311,314,317,
318,323,324,328,329,331,333,335,338,339,340,342,343,348,350,353,354,356,359,
386,392,393,403,405,406,407,408,409,410,414,416,426,440,441,442,444,445,446,
447,450,451,453,455,456,462,473,474,477,478,479,481,482,483,486,487,488,489,
490,492,494,496,497,499,502,504,509,511,515,518,519,522,530,544,547,551,554,
560,566,570,571,574,580,581,587,592,596,598,599,600,606,610,615,617,630,634,
635,637,638,643,650,651,654,655,656,657,658,661,662,663,664,665,666,668,669,
674,675,676,677,682,684,685,686,687,690,696,704,708,710,716,727,733,735,737,
751,753,773,779,781,782,789,790,791,793,794,797,800,818,819,822,823,824,831,
832,833,835,841,844,847,849,851,854,858,860,863,867,877,878,888,889,891,893,
903,905,907,909,910,911,913,914,917,919,931,933,934,935,936,941,942,944,945,
947,948,951,952,964,979,981,994,997,998,1006,1009,1029,1037,1040,1054,1057,
1073,1076,1080,1081,1084,1087,1092,1110,1111,1112,1113,1114,1127,1135,1140,
1147,1162,1168,1169,1176,1180,1184,1185,1186,1198,1205,1207,1209,1212,1225,
1244,1255,1257,1259,1260,1262,1263,1268,1286,1293,1305,1306,1308,1309,1310,
1312,1318,1322,1323,1328,1344,1348,1358,1361,1375,1376,1377,1418,1427,1429,
1447,1451,1465],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,29,30,31,32,35,36,40,41,44,45,47,49,50,51,53,54,56,57,58,60,62,63,65,
66,68,70,71,75,76,77,78,79,80,81,82,86,90,92,93,97,99,100,102,107,108,109,110,
113,115,116,117,119,121,122,123,126,127,128,129,130,133,135,137,139,140,141,
144,145,146,147,148,149,152,156,158,166,167,171,173,175,176,177,178,179,183,
184,185,186,188,190,193,194,197,200,202,203,204,205,206,208,210,212,213,215,
217,218,219,222,223,225,227,228,230,231,233,234,239,241,242,243,244,249,250,
251,252,253,254,256,260,261,262,263,265,267,269,270,274,280,281,282,283,285,
286,287,292,294,296,297,299,303,304,309,312,317,319,320,321,322,324,325,326,
334,336,338,340,341,345,347,348,349,350,354,356,363,373,374,377,382,383,384,
396,407,408,409,410,412,414,416,419,422,425,430,441,442,444,445,446,447,450,
451,452,453,455,456,457,464,467,469,471,472,474,477,479,485,487,490,493,497,
498,500,501,507,508,509,513,514,515,516,517,520,522,528,529,530,535,538,543,
546,548,555,556,562,564,567,569,570,571,572,578,579,581,590,592,594,600,608,
615,626,629,630,644,645,647,649,650,651,655,661,662,663,666,669,674,677,681,
682,684,686,689,693,701,703,706,712,713,714,724,731,733,738,747,748,755,757,
764,777,779,781,783,785,786,788,794,797,798,799,809,816,818,819,824,831,833,
834,835,841,844,849,851,854,855,857,859,860,863,877,879,880,882,886,888,889,
891,893,896,897,900,903,904,907,909,911,912,916,922,925,928,933,935,943,944,
945,952,953,955,956,1010,1030,1033,1036,1048,1049,1051,1053,1058,1060,1068,
1069,1071,1074,1079,1085,1088,1089,1110,1111,1113,1117,1119,1128,1136,1138,
1148,1162,1173,1178,1179,1182,1184,1185,1188,1190,1217,1219,1220,1222,1231,
1235,1238,1240,1245,1246,1255,1260,1264,1273,1281,1303,1304,1305,1308,1311,
1314,1318,1320,1324,1328,1344,1349,1353,1364,1367,1368,1374,1408,1422,1425,
1448,1451,1466],[1,2,3,5,7,9,12,16,17,19,20,25,26,29,32,35,37,39,41,42,50,51,
58,60,61,62,71,86,87,113,117,121,127,136,139,146,147,149,150,151,156,157,163,
164,173,174,182,188,196,209,212,223,245,252,294,300,303,319,383,384,386,393,
404,408,412,413,414,415,416,417,421,422,423,429,433,456,485,489,505,564,568,
586,587,703,716,735,748,778,783,787,790,806,808,809,810,811,813,821,823,828,
830,842,874,969,995,997,1036,1095,1111,1133,1143,1146,1151,1278,1299,1300,
1303,1307,1312,1331,1399,1400,1402,1409,1434,1467],[1,2,3,4,7,8,9,10,11,12,18,
24,32,37,38,39,40,41,42,44,45,46,47,48,53,54,55,57,59,64,65,66,79,82,83,147,
148,151,155,158,163,164,165,166,167,168,169,172,177,180,183,184,186,187,194,
199,201,210,213,217,222,225,233,264,269,279,291,310,348,404,407,408,409,410,
411,415,427,431,435,438,439,441,442,449,453,454,465,470,497,523,592,625,671,
691,778,780,781,784,787,792,794,795,796,797,803,818,820,829,830,835,836,862,
870,1110,1125,1129,1130,1144,1150,1151,1152,1299,1301,1305,1316,1317,1399,
1401,1403,1458,1468],[1,2,3,6,7,9,12,13,14,15,21,22,23,27,28,32,33,34,36,37,
39,41,42,43,49,52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,103,105,110,
114,120,124,125,128,134,138,140,147,151,152,153,154,161,162,163,164,170,171,
181,185,197,206,207,211,224,230,234,248,259,281,288,289,301,302,305,312,316,
318,320,321,327,330,331,337,341,342,347,358,364,366,369,376,381,391,394,398,
401,402,404,405,406,408,415,418,419,420,424,428,432,437,455,492,503,520,524,
526,563,612,634,637,654,664,685,689,702,709,715,717,721,722,723,726,731,740,
741,742,743,752,755,761,772,778,779,782,786,787,804,805,807,812,814,815,817,
825,827,830,840,868,1004,1008,1078,1084,1085,1102,1104,1105,1108,1112,1113,
1114,1117,1118,1120,1123,1145,1149,1151,1274,1299,1302,1320,1323,1326,1332,
1334,1336,1337,1399,1405,1435,1460,1469],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,
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,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,151,152,154,
155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,174,
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,
403,405,406,407,408,409,410,411,412,414,415,416,419,422,425,426,427,429,430,
431,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,
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,
775,776,777,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,803,809,812,815,816,818,819,820,822,823,824,
826,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,
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,
1106,1107,1108,1109,1110,1111,1112,1113,1114,1116,1117,1119,1120,1121,1122,
1123,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,
1139,1140,1141,1142,1144,1147,1148,1152,1153,1154,1155,1156,1157,1158,1159,
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,
1295,1296,1297,1298,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,
1314,1315,1316,1317,1318,1319,1320,1322,1323,1324,1328,1329,1335,1336,1337,
1339,1340,1341,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,
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,
1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1403,1404,
1405,1407,1408,1409,1410,1411,1412,1413,1418,1419,1420,1421,1422,1423,1424,
1425,1426,1427,1429,1430,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,
1446,1447,1448,1449,1450,1451,1453,1454,1455,1459,1464,1465,1466,1470],[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,
32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
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,
146,147,148,150,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166,
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,
395,396,397,398,399,400,401,402,403,405,406,407,408,409,410,411,412,413,415,
417,418,419,420,421,423,424,425,426,427,428,429,431,432,433,434,435,436,437,
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,
761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,803,804,805,806,807,808,810,811,812,813,814,815,817,818,820,821,825,
826,827,828,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
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,
1104,1105,1106,1107,1108,1109,1110,1115,1118,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1149,1152,1153,1154,1155,1156,1157,1158,1159,1160,
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,
1296,1297,1298,1304,1305,1306,1309,1313,1314,1316,1317,1321,1325,1326,1327,
1330,1331,1332,1333,1334,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,
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,
1393,1394,1395,1396,1397,1398,1403,1406,1414,1415,1416,1417,1421,1423,1424,
1425,1426,1427,1428,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,
1442,1443,1444,1445,1446,1447,1448,1449,1450,1452,1455,1456,1457,1459,1461,
1462,1463,1471],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,2,
1],[1,3,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,
1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[
1,1,1,1],[1,1,1,1],[1,1],[1,1,3,1],[1,1,6,3,4,1],[1,7,7,1],[1,1,3,1],[1,1,2,1,
1,1,1],[1,1,2,1,2,1],[1,1,2,1,1],[1,1,3,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,
1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,1,1],[1,1,4,1,2,1],[1,1,2,4,1,2,4,1],[1,1,
4,1,2,1],[1,1,2,1,1,1,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,3,4,1,6,1],[1,1,6,3,4,
1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,7,7,1],[1,1,2,2,1,1],[1,1,2,1,1,1,1],[1,1,
1,1],[1,3,1,1,1,1],[1,1,4,1,2,1],[1,3,1,1,1,1],[1,1,2,1,2,1],[1,1,4,1,2,1],[1,
1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[
1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,6,3,4,
1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,2,1,
1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,
2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,4,1,2,4,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,
1,2,4,1,2,4,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,4,1,2,4,
1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,2,1],[1,1,2,2,1,1,1,
1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,4,1,2,4,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,4,
1,2,1],[1,1,1,1],[1,1,1,1],[1,1,2,2,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,
4,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,2,
2,1,1,1,4,1],[1,1,4,1,2,1],[1,1,2,4,1,1,1,4,1],[1,1,1,1],[1,1,2,2,2,1,1,1,4,
1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,3,4,
1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,
1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,
1,6,1,3,1,1,1,1],[1,1,1,1],[1,1,14,7,28,7,8,1],[1,1,2,3,1,3,1,3,3,1],[1,1,6,1,
3,3,4,1,3,3,1],[1,1,2,1,6,3,4,1],[1,1,6,8,3,4,4,24,1,6,8,1],[1,1,14,7,28,7,8,
1],[1,1,2,1,3,3,1,3,3,1],[1,1,2,1,6,3,4,1],[1,1,2,12,1,6,12,16,3,4,8,1],[1,1,
2,12,1,6,12,16,3,4,8,1],[1,1,2,1,6,3,4,1],[1,1,2,1,2,2,2,1,2,1],[1,1,2,1,2,4,
1,2,4,1],[1,1,2,8,1,2,4,8,1,2,4,1],[1,1,2,8,1,2,4,8,1,2,4,1],[1,1,2,1,2,4,1,2,
1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,12,1,6,6,6,16,3,4,4,4,1],[1,1,2,1,6,3,
4,1],[1,1,2,6,1,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,3,1,3,3,3,1],[1,1,6,1,3,3,1,
3,3,1],[1,1,2,3,3,1,3,1,3,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,1,2,2,2,1,2,1],[1,
1,2,1,2,4,1,2,4,1],[1,1,2,1,2,1,2,1],[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],[1,1,2,4,1,4,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,
1,2,4,1,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,1,1,1,4,1,2,1],[1,1,6,4,1,3,1,
2,4,4,1,1,2,1,2,1],[1,1,2,4,8,1,2,4,4,4,4,16,1,2,4,8,1],[1,1,2,4,2,1,2,2,1,1,
2,1,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,1,2,1,2,1],[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],[1,1,6,8,3,4,4,4,4,16,1,
2,4,4,4,1],[1,1,2,1,1,1,1,1,2,1,1,1,1],[1,1,6,3,4,4,1,2,1],[1,1,6,4,3,2,2,4,4,
1,1,1,4,1],[1,1,2,8,1,1,1,4,4,4,1,2,2,2,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,1],[1,1,
2,4,1,1,3,2,4,1,1,1,2,2,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,4,1,4,2,4,2,1,1],[1,1,
2,8,1,1,1,4,4,4,1,2,2,2,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,
1,6,1,3,3,1,3,3,1],[1,1,2,1,1,1,1,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,
1,4,2,1,1,2,2,1,1],[1,1,6,4,3,4,2,4,2,1,1,1,4,1],[1,3,4,1,3,1,2,1,1,1,2,2,1],[
1,1,10,2,5,8,1,2,1,3,1],[1,1,2,1,1,1,2,1,1],[1,1,2,4,4,1,1,1,2,4,2,2,2,1,1,1,
2,2,1],[1,1,2,4,4,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[
1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,4,1,2,2,2,1,2,1,1,2,1],[1,1,2,4,1,1,1,2,
2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,3,2,1,1,2,2,1,1],[1,1,2,4,1,1,1,2,2,2,2,1,1,1,
2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,4,2,2,2,1,1,1,4,1],[1,1,2,8,1,2,
4,4,4,1,2,4,1],[1,1,2,4,4,1,2,4,2,2,2,2,1,1,1,4,1],[1,1,2,1,1,1,1,2,1],[1,1,2,
4,1,2,1,1,4,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,
2,1,1,2,1],[1,1,2,4,4,1,2,2,4,4,2,1,1,1,4,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,6,
3,4,2,2,1,1,1,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,1,4,2,2,2,2,1,1],[1,1,6,
4,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,
2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,1,
2,2,4,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,2,1,2,1,2,
1],[1,1,2,4,3,1,1,2,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,1,1,1,2,2,1],[1,3,4,1,2,1,
1,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,1,1,2,4,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,4,2,2,
2,1,1,1,4,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,10,1,1,5,8,2,1,2,2,1],[1,1,2,4,2,1,
2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,2,4,4,2,2,2,16,1,1,1,4,4,4,1],[1,1,2,4,
4,1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,1,1,1,
1],[1,1,6,4,3,1,1,3,2,1],[1,1,2,4,4,1,2,2,4,2,2,2,1,1,1,4,1],[1,1,2,4,1,1,1,2,
2,2,2,1,1,1,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,2,1,5,1,2,1,
2,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,4,4,1,2,4,2,
2,2,2,1,1,1,4,1],[1,1,2,8,1,2,4,8,1,2,2,2,1],[1,1,6,2,2,3,1,2,1,2,1,1],[1,1,2,
4,4,1,2,4,2,2,2,2,1,1,1,4,1],[1,3,1,2,1,3,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,
2,4,1,1,1,2,4,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,2,1],[1,1,2,1,2,1,1,2,1,1,1,1],[1,
1,2,1,1,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,3,1,1,1,1,2,1],[1,3,1,1,1,1,2,
1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,10,1,1,5,8,1,2,2,1,1,1],[1,1,2,1,2,1,2,1],[1,
1,4,2,4,1,2,1,1,2,8,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,1,1,2,2,1,1],[1,1,2,1,1,1,
1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,1,2,2,1],[1,1,4,1,2,
2,1,1,1,1],[1,3,4,1,1,1,2,2,1,2,1,1,2,1],[1,1,2,1,2,1,2,1],[1,7,4,7,1,1,2,4,1,
1,2,1,2,1],[1,1,2,8,1,2,4,8,1,2,2,2,1],[1,1,2,4,1,4,2,1,1,2,1,2,1],[1,3,4,1,1,
1,2,2,1,2,1,1,2,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,3,4,4,1,1,1,6,2,4,1,1,1,2,2,1],[1,1,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,7,4,7,1,1,2,4,1,1,1,2,2,
1],[1,1,4,3,2,1,1,1,1],[1,3,4,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,4,4,1,2,
1],[1,1,2,1,1,1,1,2,1],[1,3,4,1,1,3,2,1,1,2,1,2,1],[1,1,2,2,1,1,1,1,1],[1,1,2,
4,1,3,1,2,1,1,2,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,6,4,1,1,3,2,4,4,1,1,1,2,2,
1],[1,1,6,4,1,1,3,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,4,1,
1,1,2,2,1,1,1,2,2,1],[1,1,2,4,2,1,2,2,1,1,2,1,2,1],[1,3,8,1,1,1,4,8,1,2,2,2,
1],[1,1,2,1,2,1,1,1,1],[1,1,4,2,4,1,2,1,1,2,8,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,
1],[1,1,2,4,4,2,1,2,2,8,1,1,1,2,2,1],[1,1,2,4,1,3,1,2,1,1,2,1,2,1],[1,1,2,1,1,
1,4,1,2,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,2,
1],[1,1,6,1,3,3,1,1,1,2,2,1],[1,3,4,1,1,3,2,1,1,2,1,2,1],[1,3,1,1,1,1,1,1,1],[
1,1,2,1,1,1,1,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,
2,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,2,8,1,2,4,4,4,1,1,1,1,2,1,1],[1,1,4,3,2,1,1,
1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,
3,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,3,4,4,1,1,1,6,2,4,1,1,1,2,2,1],[1,1,4,4,1,2,
2,1,1,1,1],[1,1,2,4,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,
1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,2,6,1,1,1,1,2,1,4,4,1,1,1,
1,1,1,1,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,1,3,1,1,4,4,1,1,
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,
1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[
1,3,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,
1],[1,3,2,6,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,1,3,4,4,1,1,1,1,
1,1,1,1],[1,1,2,6,2,1,1,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,1,1,4,4,
1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,8,1,2,2,1,1,
1,1],[1,1,2,4,4,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,1,1,1,1,1,1,
1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,2,2,1,3,1,1,1,4,4,1,1,1,
1,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,6,4,3,2,4,2,4,1,1,1,4,1],[1,1,10,5,4,4,
2,1,1,1,4,1],[1,1,6,2,3,4,2,1,1,1,1],[1,1,6,2,2,1,3,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,1,4,3,2,1,1,1,1],[1,3,4,2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,
1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,8,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,5,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,3,4,2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,2,1,2,2,4,1,1,1,1],[1,1,
2,4,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,
1,1,1,1,1,1,1],[1,3,2,6,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,8,1,1,1,4,4,4,1,
1,1,1,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,7,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,1,6,4,3,4,4,1,1,
1],[1,1,4,3,4,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,4,3,4,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,
4,1,1,1],[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],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,4,3,4,4,
1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,
6,4,3,4,4,1,1,1],[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],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,4,3,4,4,1,1,
1],[1,1,2,6,6,1,1,3,3,12,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,
1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,12,1,1,6,12,1,1,1,2,2,3,1,1,1,
2,2,1],[1,1,2,8,4,1,6,4,3,6,4,4,6,12,1,4,4,6,1],[1,1,14,8,1,7,3,4,28,24,7,8,3,
3,4,6,8,12,1,1,1,6,6,1],[1,1,2,1,6,3,4,4,1,2,1],[1,1,6,8,1,3,7,4,4,8,1,3,5,4,
2,4,4,8,4,1,1,1,2,2,4,4,1],[1,1,2,8,1,10,4,2,3,8,2,12,4,4,1,4,2,4,4,1],[1,1,6,
16,1,3,3,4,8,8,8,32,1,3,3,4,4,4,8,8,8,8,1,2,2,2,4,4,1],[1,1,6,8,1,3,3,4,4,4,8,
1,3,3,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,1,1,1,
2,2,1],[1,1,2,1,6,2,2,4,3,4,2,2,4,1,1,1,4,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,1,2,2,
2,4,4,8,8,1,1,1,4,1],[1,1,6,1,3,3,4,8,1,3,3,4,1,2,2,2,1],[1,1,6,8,3,3,5,4,4,8,
1,1,5,3,3,4,2,2,2,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,1,1,1,
4,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,1,6,3,4,4,1,2,1],[1,1,
6,12,3,6,6,4,12,8,1,1,3,1,3,3,2,6,12,3,3,3,3,6,1],[1,1,2,8,4,1,6,4,1,3,6,3,1,
3,3,9,3,3,1,1,1,3,3,3,3,1],[1,1,6,3,4,3,3,6,1,3,3,6,6,1,3,3,1],[1,1,6,12,3,4,
6,6,12,8,1,3,3,2,2,12,6,6,3,6,6,1],[1,1,2,16,1,2,4,8,16,16,1,2,4,4,4,8,8,1,1,
2,1,2,1],[1,1,2,4,2,1,2,2,4,1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,1,1,
2,8,4,1,1,2,2,2,1,2,4,4,1,1,1,2,2,1],[1,1,6,8,8,3,4,4,1,1,2,24,4,4,4,16,1,1,6,
1,8,2,2,2,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,16,1,2,4,8,16,1,2,4,4,4,8,8,1,2,
4,1],[1,1,2,4,1,4,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,3,1,3,2,2,4,4,4,4,1,
3,3,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,4,8,3,2,2,4,4,4,8,4,1,1,2,
1,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,16,2,1,4,8,8,16,1,1,1,2,2,2,4,4,2,6,2,8,1,2,1,
1,2,2,2,4,1],[1,1,2,8,1,2,4,8,1,2,2,2,4,1,1,1,1],[1,1,2,4,1,1,1,4,2,2,4,4,1,2,
1,1,2,2,2,1,1,1,2,2,1],[1,1,6,8,4,3,4,4,2,2,24,4,4,1,1,1,6,8,2,4,8,1,1,1,2,2,
1],[1,1,6,8,3,4,1,1,2,4,8,4,1,1,2,1,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,6,
16,1,3,3,8,4,32,16,1,1,1,2,2,8,2,4,8,2,2,6,4,8,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,
8,8,1,1,3,2,4,4,8,4,4,4,32,1,1,2,1,2,2,2,4,4,4,4,8,8,8,1,1,1,2,2,4,4,1],[1,1,
2,4,1,1,3,2,4,4,4,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,4,
1,1,1,2,2,1],[1,1,6,1,3,3,4,1,3,3,4,1,2,2,2,1],[1,1,6,1,3,3,4,1,3,3,2,2,1,1,1,
2,2,1],[1,1,2,1,2,2,2,1,2,2,2,1,2,1],[1,1,2,8,1,2,4,8,1,2,4,4,1,2,1],[1,1,6,4,
8,3,2,2,4,2,2,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,8,4,1,2,
4,4,2,6,4,4,8,1,2,4,4,4,1],[1,1,2,4,8,2,1,2,2,4,8,1,1,2,2,1,2,2,4,1,1,1,2,2,
1],[1,1,2,1,1,1,3,3,2,4,1,1,1,3,3,2,1,1,1,2,2,1],[1,1,2,1,2,2,2,8,1,4,2,4,4,1,
1,1,2,2,1],[1,1,2,4,8,1,1,3,2,4,4,4,4,4,1,1,2,1,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,
1],[1,1,2,16,1,2,2,2,8,16,1,2,4,4,4,8,8,1,2,4,1],[1,1,6,12,3,4,2,6,12,4,16,1,
3,1,4,2,8,4,8,1,1,1,2,2,1],[1,1,6,4,3,2,2,4,4,4,4,1,1,2,1,2,4,4,1,1,1,2,2,1],[
1,1,2,8,1,6,4,4,4,4,3,4,2,2,4,1,1,1,2,2,1],[1,1,2,4,1,1,3,2,2,2,4,4,1,1,1,2,2,
2,2,4,4,1,1,1,2,2,1],[1,1,6,4,3,4,6,2,4,4,1,1,3,4,2,4,1,1,1,2,2,1],[1,1,2,1,2,
4,1,2,4,4,1,2,1],[1,1,2,8,8,1,2,4,8,4,4,4,4,1,2,2,2,4,4,8,8,1,1,1,2,2,1],[1,1,
6,8,3,4,3,3,2,4,4,4,1,1,1,3,3,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,1,1,
1,1,1,6,4,1,3,1,4,2,4,1,1,1,2,2,1],[1,1,6,3,4,1,1,2,4,4,1,1,2,1,2,2,2,1,1,1,2,
2,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,1,1,2,2,2,2,4,4,
1,1,1,2,2,1],[1,1,2,16,1,6,8,8,16,1,2,4,2,4,8,4,10,1,2,4,4,4,1],[1,1,6,4,8,3,
2,2,4,4,4,4,4,4,1,1,2,1,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,
4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,
1,1,1,1,2,4,8,4,4,4,1,1,2,1,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,2,2,4,4,4,
4,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,14,8,7,28,1,1,2,4,4,4,16,7,8,1,1,2,2,2,4,
4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,8,1,1,1,1,1,2,4,4,4,4,1,1,2,1,2,2,2,4,4,1,1,
1,2,2,1],[1,1,14,4,7,28,2,2,4,4,7,8,1,1,2,4,8,1,1,1,2,2,1],[1,1,2,3,1,3,1,1,2,
4,1,3,3,1,1,2,1,1,1,2,2,1],[1,1,2,8,1,2,8,4,8,1,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,
8,1,4,2,4,8,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,1,2,4,4,1,2,1],[1,1,
2,4,2,1,2,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,4,4,4,1,1,2,3,4,1,1,2,1,2,
1],[1,1,2,8,4,8,1,1,1,4,2,2,8,4,4,4,4,32,1,1,1,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,
2,2,4,4,1],[1,1,2,12,8,1,1,1,2,6,12,4,4,4,16,16,1,3,1,4,2,2,2,8,4,4,4,8,8,1,1,
1,2,2,4,4,1],[1,1,6,4,8,3,4,4,2,2,4,4,4,4,16,1,2,1,1,2,4,4,8,8,1,1,1,2,2,1],[
1,1,2,1,6,3,4,4,1,2,1],[1,1,2,8,8,1,2,4,8,4,4,4,4,16,1,2,2,2,4,4,8,8,1,1,1,2,
2,1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,8,3,4,2,2,2,2,4,4,4,4,1,
1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,6,2,4,4,4,4,1,1,3,4,2,2,2,4,
4,4,8,1,1,1,2,2,4,4,1],[1,1,6,8,3,4,1,1,6,4,4,4,1,3,1,4,2,2,2,4,4,4,8,1,1,1,2,
2,4,4,1],[1,1,2,4,2,1,2,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,16,1,2,4,8,8,16,1,2,
4,4,6,2,4,8,4,1,2,4,4,4,1],[1,1,2,20,1,1,3,10,12,40,1,3,3,3,10,8,3,3,3,6,8,1,
1,1,3,3,3,3,1],[1,7,12,7,3,3,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,6,12,3,3,3,6,4,
8,12,1,1,1,3,3,2,6,3,3,6,6,3,3,3,6,1],[1,7,12,7,3,3,6,8,12,1,1,1,3,3,2,3,6,6,
3,6,3,3,3,6,1],[1,3,4,12,1,3,3,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,2,4,4,1,2,4,
2,2,4,4,4,2,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,2,4,8,2,2,2,2,1,1,
2,1,1,2,2,1,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,
1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,4,1,1,2,4,6,2,2,2,1,1,1,3,1,2,2,
2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,12,1,2,2,2,4,2,6,6,6,1,1,1,1,3,4,4,4,4,4,4,
1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,2,2,4,8,1,2,2,2,1,1,2,2,2,1,1,1,2,2,1],[1,1,6,
4,4,1,3,1,2,4,2,2,4,2,2,2,2,1,1,2,1,1,1,1,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
4,12,1,2,2,2,4,2,6,6,6,16,1,1,1,1,3,4,4,4,4,8,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,2,
4,8,4,8,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,4,4,1,1,1,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,2,4,4,8,4,1,2,1,1,2,2,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,1,1,2,4,6,2,2,2,1,1,1,3,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,4,8,1,1,3,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,1,2,16,1,1,1,1,1,2,8,16,1,1,1,4,4,4,4,4,4,4,1,2,2,2,1],[1,1,6,4,12,3,4,
1,1,2,4,2,6,6,6,16,16,1,1,1,1,3,2,2,2,2,4,2,4,2,4,4,4,4,8,1,1,1,1,1,1,1,4,4,
1],[1,1,6,4,4,3,4,1,1,4,2,4,2,2,2,2,1,2,1,1,2,2,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,6,4,4,3,2,2,4,1,1,2,4,2,2,2,2,1,1,1,1,1,1,1,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[
1,1,2,8,3,1,3,4,8,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,6,8,4,3,4,2,2,4,8,2,2,2,2,1,
1,2,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,4,4,4,4,1,1,
1,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,1,1,2,4,4,8,4,4,4,
16,16,1,2,1,1,2,2,2,2,4,2,2,2,4,4,4,8,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,4,1,
2,1,1,2,4,4,6,2,2,2,1,1,1,3,1,4,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,
4,8,2,1,2,2,4,8,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,2,1,1,4,2,4,4,2,
2,2,2,1,2,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,1,2,1,1,2,4,4,2,
6,6,6,16,16,1,1,1,1,3,4,4,4,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,
8,8,1,2,4,8,4,8,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,6,4,4,3,4,1,1,4,2,4,2,2,2,2,
1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,1,2,2,2,4,4,8,2,2,2,2,
16,1,2,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,1,1,4,2,4,2,2,2,
2,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,8,1,2,2,2,2,2,1,1,1,
1],[1,1,2,8,1,6,4,8,3,4,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,8,4,4,1,1,1,4,1,1,2,8,4,
2,2,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,3,2,1,
1,2,4,2,2,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,3,1,2,4,
1,1,2,4,4,4,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,
2,2,4,6,2,2,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,6,16,3,4,1,1,2,8,8,8,32,1,1,
1,2,2,4,8,8,8,4,4,4,4,1,2,2,2,2,2,2,2,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,1,2,
1],[1,1,2,4,8,1,2,1,1,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,
2,4,4,1,1,1,1,1,4,2,4,2,2,2,2,1,1,2,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
4,4,4,3,2,2,4,2,2,4,4,2,2,2,2,16,1,1,1,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[
1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,4,2,4,4,4,1,1,2,
2,2,2,1,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,4,2,4,2,2,2,2,1,1,1,2,1,1,4,4,1,1,1,1,
1,1,1,1],[1,1,2,12,1,1,1,6,6,4,8,1,1,1,2,2,2,6,2,2,4,6,6,1,2,2,2,1,1,2,2,2,
1],[1,1,6,4,4,1,3,3,4,2,2,4,2,2,2,2,1,3,3,1,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,
1,6,12,3,4,2,2,2,6,6,6,16,1,1,1,1,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,
1,2,3,3,2,4,4,2,2,2,2,1,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,2,4,4,1,4,2,2,2,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,8,
3,4,2,2,4,4,4,4,4,16,1,1,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,8,3,2,2,
4,4,4,4,4,4,16,1,1,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,2,2,2,1,2,4,1,
2,1],[1,1,2,1,1,1,1,1,2,1,1,1,4,1,2,1],[1,1,2,4,1,4,2,4,1,1,2,2,2,2,1,1,1,1,
1],[1,1,2,4,1,4,2,2,2,1,1,2,2,2,1,2,1,1,1,1],[1,1,6,4,4,4,1,3,1,2,4,1,1,2,4,4,
2,2,2,2,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,2,1,2,
2,2,2,4,8,16,1,1,2,1,2,2,2,1,1,2,4,2,2,4,4,4,1,1,2,1,2,2,2,4,1],[1,1,2,4,4,8,
1,2,2,2,4,4,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,8,
1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,2,1,1],[1,1,6,4,3,
4,2,2,4,1,1,1,4,4,1,2,1],[1,1,2,4,8,1,2,2,2,4,8,1,2,2,2,1,1,2,2,2,1,1,1,2,2,
1],[1,1,2,4,8,1,4,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,2,1,1,4,
2,4,4,2,2,2,2,2,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,4,
4,4,4,4,4,16,1,1,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,7,6,4,8,1,1,
1,3,3,1,2,8,6,4,5,1,1,1,1,1,2,1,1,2,2,2,1],[1,1,2,4,8,2,1,2,2,4,4,4,1,1,2,1,2,
2,4,2,1,1,1,2,2,1],[1,1,2,4,4,8,1,2,4,2,2,4,4,4,4,4,16,2,1,1,1,2,4,4,4,4,4,4,
1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,8,4,1,2,4,1,1,2,
8,2,2,2,2,1,1,2,1,1,1,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,
4,8,1,2,1,1,2,4,4,4,4,4,1,2,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,4,2,
4,1,1,2,2,2,1,2,1,1,1,1],[1,1,2,4,12,1,2,2,2,4,2,6,6,6,16,1,1,1,1,3,4,4,4,4,4,
4,1,1,1,1,1,1,1,1],[1,1,10,4,3,1,5,2,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,
4,2,1,5,1,2,1,2,1,1,2,2,2,2,2,1,2,1,1,2,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,4,4,1,1,
1,2,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,4,4,1,3,1,2,4,2,2,4,4,4,
1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,3,2,2,4,4,1,1,1,2,4,2,1,1,1,
1],[1,1,6,4,1,3,1,2,4,1,1,2,4,4,1,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
2,4,1,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,1,2,4,4,2,1,2,2,2,2,1,1,2,1,2,1,2,1,1,1,
2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,4,1,2,2,2,4,6,2,2,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,6,16,3,4,1,1,2,
8,8,8,16,16,1,1,1,2,2,4,4,4,4,2,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,
12,4,1,6,2,2,12,2,2,2,2,16,1,1,3,4,1,1,8,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,
1,1,1,2,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,
4,4,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,1,3,2,1,1,1,2,1,2,1,1,2,
1],[1,1,2,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,1,2,2,2,1,1,2,3,1,1,2,1,1,1,2,2,1],[1,1,6,8,4,3,4,4,2,2,24,2,2,2,2,1,1,
1,6,8,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,4,4,6,2,2,2,1,1,1,3,1,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,2,8,2,2,2,2,1,1,1,2,2,2,1,1,
2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,4,2,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,2,4,
4,12,1,2,1,1,2,4,4,2,6,6,6,16,16,1,1,1,2,1,2,3,2,4,2,2,2,4,4,4,8,4,4,1,1,1,1,
1,1,1,4,4,1],[1,1,6,8,4,4,3,4,4,1,1,2,24,4,2,2,2,2,16,1,1,6,1,8,1,1,2,2,2,2,2,
2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,16,2,1,4,8,8,16,1,1,1,1,4,2,5,4,3,5,3,
5,1,1,1,1,1,1,2,3,2,2,1],[1,1,2,4,12,4,1,2,1,1,6,4,12,2,2,2,2,16,16,3,1,1,4,1,
1,8,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,4,
4,16,1,1,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,4,2,2,2,4,8,16,1,1,
1,2,2,2,2,1,1,4,2,2,2,4,4,4,1,1,2,1,2,2,2,4,1],[1,1,2,8,4,4,1,2,4,2,2,8,4,2,2,
2,2,16,1,1,1,2,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,4,2,4,8,1,1,2,2,
2,4,1,2,1,1,1,2,2,1],[1,1,2,12,4,4,1,6,1,1,2,12,4,2,2,2,2,16,16,1,3,1,4,1,1,8,
2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,1,1,2,2,6,2,2,2,1,1,1,3,
1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,6,2,2,2,1,1,1,3,1,4,4,1,1,1,1,1,1,
1,1],[1,3,4,1,2,3,3,2,1,3,1,2,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,6,4,2,2,2,2,1,3,1,
4,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,2,8,1,2,2,2,1,2,1,1,1,2,1,1,1,1,
1,1,1,1],[1,3,4,1,5,3,2,1,3,1,2,2,2,1,1,1,1],[1,1,6,4,1,3,3,4,1,1,2,2,2,2,2,1,
3,3,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,4,4,16,1,1,
1,2,2,4,4,4,8,4,1,1,1,1,1,1,1,1],[1,1,2,4,3,5,1,2,1,2,2,1,1,2,2,2,2,1,2,1,1,2,
1],[1,1,2,4,16,1,1,1,2,2,4,8,8,8,16,16,1,1,1,2,2,4,4,4,4,2,4,2,2,4,2,8,4,1,1,
1,1,1,1,1,4,4,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,2,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,4,1,1,1,2,2,4,8,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,8,1,2,4,8,8,1,2,4,4,
1,2,1],[1,1,2,4,2,1,2,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,3,2,2,4,4,1,1,1,2,4,
2,1,1,1,1],[1,1,2,4,2,1,2,2,1,1,2,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,1,3,2,4,1,
1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,2,1,1,2,4,8,2,2,2,2,1,2,1,1,1,1,4,2,2,2,
2,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,2,2,1,1,2,2,1,1,1,1],[1,1,6,4,4,8,
1,3,1,2,4,2,2,4,4,4,4,4,16,16,1,1,2,1,1,1,2,2,2,4,4,2,4,4,2,2,4,4,4,4,1,1,1,1,
1,1,1,4,4,1],[1,1,6,8,3,4,1,1,2,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,1,6,3,4,1,1,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,6,2,2,3,4,2,1,1,2,2,
1,1,1,2,2,1],[1,1,6,4,3,4,2,2,2,2,2,2,2,2,1,1,1,2,2,2,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,4,1,2,1,1,2,6,2,2,2,1,
1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,8,4,4,4,1,4,2,4,4,1,1,1,2,1,1,1],[1,
1,2,16,1,2,4,8,8,8,16,1,2,4,4,4,4,4,8,1,1,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,
2,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,4,2,2,2,2,2,
1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,4,2,4,4,4,1,1,1,2,2,2,4,2,1,1,1,
2,2,1],[1,3,4,1,2,3,3,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,4,4,1,
1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,3,2,1,1,2,2,2,4,4,1,1,1,1,
1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,1,2,2,2,6,6,6,1,1,1,1,2,2,3,
2,4,2,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,2,1],[1,1,6,4,4,3,2,2,
4,1,1,2,2,2,4,4,1,1,1,1,1,1,1,2,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,2,2,6,
2,2,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,3,1,5,6,4,8,1,1,3,1,2,1,1,4,2,
6,8,2,3,1,1,1,2,1,2,1,3,1,2,1],[1,1,2,1,2,1,1,3,2,1,1,1,1],[1,1,2,1,2,1,3,1,2,
1,1,1,1],[1,1,2,4,1,4,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,1,4,2,4,4,4,1,1,2,
2,2,2,1,4,1,1,1,2,2,1],[1,1,2,4,1,1,3,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,
1,2,4,2,2,1,2,2,1,1,2,2,1,1,1,1],[1,1,2,4,12,1,1,1,1,1,2,4,2,6,6,6,1,1,1,2,1,
2,2,2,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,8,1,1,1,4,4,4,1,1,1,1,
1,1,1,1],[1,1,2,8,8,1,1,1,4,8,4,8,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,
1,3,2,2,2,4,4,2,2,2,2,1,1,1,1,1,2,2,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,
2,4,2,2,8,1,2,2,1,1,4,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,2,
1,1,2,1],[1,1,2,4,1,4,2,4,1,1,2,2,2,4,1,2,1,1,1,2,2,1],[1,3,4,1,4,1,3,2,1,1,1,
2,2,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,4,1,2,1],[1,1,2,12,1,2,1,1,2,2,6,6,
6,1,1,1,2,1,2,3,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,3,1,3,2,2,1,3,3,1,2,1,1,1,2,
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],[1,1,2,1,2,4,1,2,4,4,
1,2,1],[1,1,6,12,2,3,4,6,4,12,8,1,2,1,1,1,4,1,3,2,2,2,4,8,3,2,1,1,1,2,2,4,2,
1],[1,1,10,4,2,1,1,5,2,8,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,6,2,4,
2,2,2,2,3,1,1,4,1,1,4,1,1,1,1,1,1,1,1],[1,1,6,6,6,3,3,3,3,3,4,4,4,12,1,1,1,1,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,3,4,8,1,1,1,2,2,4,8,1,2,2,1,2,1,2,2,2,1,
1,1,2,2,1],[1,1,10,4,2,5,2,2,8,1,2,1,1,1,3,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,
8,1,1,1,2,2,4,4,4,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,3,2,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,8,4,8,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,
2,8,1,2,4,4,8,1,2,1,4,2,1,2,2,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,4,4,4,4,4,4,16,1,
1,2,4,2,2,1,8,2,8,1,1,1,2,2,1],[1,1,2,16,1,1,1,4,4,8,8,1,2,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,2,16,1,2,8,12,4,16,4,3,1,4,8,2,2,1,2,8,1,1,1,2,2,1],[1,1,2,4,8,1,
4,2,4,4,4,1,1,2,2,1,4,2,2,1,1,1,2,2,1],[1,3,4,8,1,1,1,2,2,4,8,1,2,2,2,1,1,2,2,
2,1,1,1,2,2,1],[1,1,6,4,1,5,3,2,4,4,4,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,
1,1,1,6,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,4,1,3,5,2,8,2,1,1,2,2,2,1,2,2,1,1,
1,2,2,1],[1,1,2,8,1,3,3,4,8,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,2,
1,2,1,2,2,1,1,1,1],[1,1,2,4,1,3,1,2,4,1,2,1,2,1,2,2,1,1,1,1],[1,3,4,1,3,3,2,2,
3,2,1,1,2,2,1,1,1,1],[1,3,4,1,2,1,3,2,2,1,2,2,1,1,2,2,1,1,1,1],[1,1,6,4,4,1,3,
3,2,2,8,1,3,1,1,3,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,4,8,3,4,1,2,1,2,2,1,1,
1,2,2,1],[1,1,2,4,1,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,12,1,1,3,6,8,1,1,2,2,2,
1,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,
4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,6,4,4,3,2,2,1,1,3,1,1,2,2,1,1,2,1,1,1,1,1,1,1,
1],[1,3,12,1,2,1,1,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,12,1,2,1,1,6,8,1,
1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,12,1,3,1,6,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,2,8,1,4,2,4,4,4,4,2,1,1,2,2,1,2,1,1,1,1],[1,1,2,4,3,1,1,2,4,1,1,1,2,2,
2,2,1,1,1,1],[1,3,12,1,3,1,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,6,1,
2,2,1,3,3,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,12,1,2,1,3,6,6,12,1,1,2,3,2,4,4,
4,2,2,6,1,2,2,1,1,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,3,3,1,
2,2,3,1,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,4,1,3,5,2,1,3,2,1,2,2,1,1,1,1],[1,
3,4,4,8,1,2,1,1,6,2,2,2,2,4,8,8,1,1,1,1,2,2,2,2,2,2,1,2,1,2,1,2,2,2,2,2,2,1,1,
2,1,2,2,2,2,2,1],[1,1,2,4,4,1,1,3,2,2,2,1,1,2,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,3,4,4,8,1,3,1,6,2,2,2,2,4,8,8,1,1,1,1,2,2,2,2,2,1,2,1,2,2,1,2,2,2,2,2,2,1,1,
2,1,2,2,2,2,2,1],[1,1,2,4,1,8,2,3,4,1,2,1,2,2,1,1,1,2,2,1],[1,3,4,4,1,1,1,6,2,
4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,7,1,2,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,
6,4,4,1,3,3,2,2,8,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,3,1,2,4,1,1,2,
2,1,2,2,1,1,1,1],[1,7,12,7,2,1,3,6,8,12,1,1,1,1,1,2,2,2,4,4,3,2,2,3,6,1,2,1,2,
1,2,4,2,1],[1,1,2,16,1,2,4,4,8,8,1,2,1,4,2,1,2,2,1,1,1,2,2,1],[1,7,4,7,1,1,2,
4,1,1,1,2,2,2,2,1,1,1,1],[1,7,12,7,2,1,3,6,12,1,1,2,4,3,2,2,4,6,4,2,1,2,2,1,1,
1],[1,1,2,4,8,1,1,3,2,4,8,1,1,2,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,2,
1,2,2,2,2,4,8,16,1,1,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,2,1,1,1,1,2,2,
2,1],[1,1,6,4,4,4,3,2,2,8,1,1,3,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,6,1,
2,2,8,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,4,4,4,1,1,2,2,2,1,2,
1,1,1,1],[1,1,6,4,2,1,3,3,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,
3,3,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,2,2,1,3,1,1,3,1,2,
1,2,1,1,1,1,1,1,1,1],[1,7,4,7,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,4,1,3,3,2,
2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,3,4,1,2,1,5,2,1,1,2,2,1,2,2,1,1,1,1],[1,1,6,4,1,1,3,2,4,4,1,2,
1,1,2,2,2,1,1,1,1],[1,1,14,4,1,1,7,2,8,4,4,4,2,1,1,2,1,2,2,2,2,8,8,1,1,1,2,2,
1],[1,1,6,4,4,2,2,3,2,2,8,1,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,
1,1,5,2,2,8,8,1,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,6,12,2,1,3,3,6,4,8,
12,1,1,1,2,1,1,2,2,2,3,4,4,3,2,6,1,1,1,2,2,2,4,2,1],[1,3,12,1,1,3,6,8,1,1,2,2,
1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,3,3,1,2,2,8,3,1,3,1,1,1,2,1,2,1,1,1,1,1,1,1,
1],[1,1,4,2,4,1,2,5,1,2,8,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,2,
5,2,2,8,8,1,2,1,1,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,2,2,3,2,2,1,2,1,2,1,1,
1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,1,2,3,3,2,8,1,1,1,2,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,10,4,1,1,5,2,2,8,1,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,
10,4,1,2,1,5,2,8,8,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,1,2,3,3,2,
8,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,1,1,1,2,4,1,1,1,2,2,2,2,1,1,
1,1],[1,3,4,8,1,1,1,2,2,4,8,1,2,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,1,1,
3,2,4,8,1,1,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,5,3,2,1,1,3,2,3,1,2,2,
1,1,1,1,1,1,1,1],[1,1,4,2,4,1,2,1,1,2,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,4,8,1,
2,1,1,6,2,2,2,2,4,8,8,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,6,6,6,2,1,3,3,3,3,4,4,4,12,1,1,1,1,1,1,2,1,
2,2,2,1,1,2,2,1,1,3,3,3,3,1,1,1,1,2,2,2,1,1,2,1,1],[1,1,10,4,1,3,5,2,4,4,4,4,
1,1,3,1,2,3,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,7,7,1,1,1,1],[1,3,16,1,3,3,3,4,1,
1],[1,1,6,8,4,3,4,4,24,4,8,1,6,8,1,4,1,1,2,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,
1,1],[1,1,6,12,4,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,
6,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,12,4,3,6,
4,8,1,3,3,4,3,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,14,
4,7,28,4,8,7,8,1,4,1,1,2,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,4,3,6,4,1,3,
3,4,3,1,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,
1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[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],[1,1,2,4,3,3,1,4,8,3,1,3,4,1,1,1],[1,1,2,4,6,1,4,8,1,3,3,
4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,
1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[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],[1,3,4,6,6,4,1,3,6,3,3,3,12,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,12,16,4,8,3,4,8,1,4,1,1,2,
1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,12,
4,1,6,12,16,4,8,3,4,8,1,4,1,1,2,1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,18,
4,9,12,4,6,4,8,3,1,3,12,1,4,3,1,2,1],[1,1,18,4,9,4,12,6,4,8,1,3,3,12,1,4,3,1,
2,1],[1,1,6,4,6,3,4,6,4,1,3,3,1,4,3,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,7,
12,4,7,3,3,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,
12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,7,12,4,7,3,3,6,12,4,4,4,1,3,6,3,6,1,4,3,1,1,
1,1],[1,1,6,12,4,3,6,4,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,3,6,4,4,4,1,3,
3,4,3,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,
1,1],[1,1,14,4,7,28,4,8,7,8,1,4,1,1,2,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,
1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,
3,3,4,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,2,6,12,1,1,1,1,3,3,6,
12,12,1,1,1,2,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,
1,2,12,4,1,6,6,6,16,4,8,3,4,4,4,4,1,1,1,1,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[
1,7,7,8,1,1],[1,7,7,8,1,1],[1,1,6,1,3,3,4,6,6,12,1,3,3,6,6,12,12,1,3,3,4,6,6,
12,3,4,1],[1,1,2,1,6,6,6,12,2,3,4,6,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,6,
24,1,3,3,4,12,12,24,32,1,3,3,6,6,8,8,12,12,12,12,24,24,24,1,3,3,6,6,8,8,12,12,
12,12,24,24,24,3,4,6,6,12,1],[1,1,2,24,1,6,12,12,24,32,3,4,6,6,8,8,12,16,24,1,
2,2,3,3,6,6,12,3,6,6,1],[1,1,6,24,1,3,15,12,4,24,32,4,1,3,9,16,12,6,8,36,12,
24,24,1,3,3,12,4,4,12,6,6,8,24,12,12,24,24,3,6,4,6,12,1],[1,1,14,24,3,7,9,12,
28,72,32,1,7,8,9,9,3,4,12,6,18,6,8,24,12,12,36,12,16,1,1,3,1,3,2,3,3,6,18,6,
18,6,12,12,12,24,24,3,3,3,4,6,12,1],[1,1,2,24,1,6,12,12,12,12,32,3,4,6,6,8,8,
8,8,12,24,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,1,2,3,1,3,3,3,6,12,1,1,3,3,3,3,3,4,6,
8,12,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,1,2,12,24,3,1,3,6,6,12,12,12,12,16,
32,48,1,3,3,3,3,4,4,6,6,6,6,6,8,8,8,8,12,12,12,12,12,12,24,24,1,1,1,2,3,3,3,3,
6,6,6,6,6,12,12,12,12,12,24,24,3,3,3,4,6,12,1],[1,1,14,24,7,28,3,3,6,12,12,12,
32,48,7,8,1,3,3,3,4,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,
3,6,6,6,6,6,12,12,12,12,12,24,24,3,3,3,4,6,12,1],[1,1,6,1,3,3,4,1,3,3,12,1,6,
6,6,3,1],[1,1,14,12,7,28,6,6,12,12,16,7,8,3,3,4,4,6,8,8,12,24,1,1,1,2,3,3,3,3,
6,6,6,3,3,3,6,1],[1,1,6,8,1,3,7,4,4,8,1,3,5,4,2,4,4,4,4,8,4,1,1,1,2,2,2,2,4,4,
4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,8,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,
4,4,1,2,2,2,1],[1,1,6,8,16,1,3,7,4,4,8,8,8,8,8,32,1,3,5,4,2,4,4,4,4,4,4,8,4,8,
8,8,8,16,16,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,1,14,8,
16,1,7,3,4,28,2,2,4,24,8,8,8,32,7,8,3,3,4,2,6,2,8,4,4,4,4,4,12,8,8,8,8,8,8,8,
8,16,16,1,1,1,1,1,6,2,2,2,2,6,2,4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,1],[1,1,2,
8,1,6,4,4,8,3,4,2,2,8,4,1,1,1,4,4,2,1,1],[1,1,6,32,1,3,3,4,2,2,4,16,16,16,64,
1,3,3,2,2,4,4,8,8,8,16,16,16,16,16,16,16,16,1,1,1,4,2,4,2,4,8,8,8,8,8,8,8,8,2,
1,2,2,4,4,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,8,1,1,1,2,2,4,4,4,1,2,4,1],[1,
1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,4,4,1,1,1,2,2,2,2,4,4,1,2,2,2,1],[1,1,2,8,1,6,
4,4,8,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,8,1,3,3,4,4,4,8,1,3,3,2,2,4,4,4,4,4,
4,8,1,1,1,2,2,2,2,4,4,4,4,4,4,8,1,2,4,4,4,1],[1,1,2,8,4,1,6,4,2,2,4,3,6,4,4,2,
6,2,12,4,4,1,1,1,4,4,6,2,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,7,4,4,8,1,3,5,4,2,4,
4,8,4,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,2,8,16,1,6,4,4,8,8,8,8,8,32,3,4,2,
2,4,4,4,8,8,8,8,16,16,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,1,2,8,8,4,
1,6,4,4,4,8,3,6,4,4,2,2,6,12,4,4,1,1,1,4,4,2,6,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,
1,10,4,4,4,8,2,3,8,2,2,2,12,4,4,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,
8,1,10,4,2,2,4,2,3,8,2,2,2,12,4,4,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,
2,1,6,2,2,4,3,4,2,2,8,4,1,1,1,4,4,1,2,1],[1,1,2,1,6,2,2,4,3,4,2,2,4,8,1,1,1,4,
4,1,2,1],[1,1,14,8,8,1,7,3,4,28,4,4,24,8,8,7,8,3,3,4,2,2,6,8,4,4,4,12,4,4,8,
16,16,1,1,1,1,1,2,2,6,2,2,6,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,24,5,3,11,
12,4,24,32,2,1,7,5,10,8,8,8,6,12,8,20,28,16,16,2,1,1,1,2,4,4,4,8,4,4,8,2,6,8,
8,4,12,16,8,16,8,16,8,1,1,1,2,4,2,4,4,8,4,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,
8,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,4,4,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,8,1,3,3,4,4,4,8,16,1,3,3,2,2,8,4,4,4,4,
8,1,1,1,2,4,4,4,2,4,4,1,2,4,1],[1,1,6,8,8,16,3,3,5,4,4,4,4,8,8,8,8,8,32,64,1,
1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,1,2,2,2,2,4,
4,4,8,1],[1,1,6,8,3,3,5,4,4,2,2,4,8,8,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,8,8,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,16,1,6,2,2,4,8,
8,8,8,3,4,2,2,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,
1,14,24,7,28,3,3,6,12,12,12,48,7,8,3,3,6,6,6,12,12,12,12,12,12,12,24,12,12,1,
1,3,3,6,6,3,12,6,6,12,6,6,6,6,1,3,2,3,6,1],[1,1,2,12,12,12,1,6,3,3,6,12,12,6,
6,6,6,16,16,16,48,1,3,3,3,3,4,4,3,3,8,4,4,8,4,4,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,12,12,12,12,12,12,12,3,3,
3,3,3,4,12,1],[1,1,6,32,3,3,9,16,4,48,80,1,1,3,3,3,4,6,12,12,12,20,8,16,18,18,
18,24,24,1,2,3,3,3,1,3,3,1,3,3,3,3,3,6,6,15,6,6,9,9,15,24,24,1,3,3,3,6,3,6,3,
3,1],[1,1,2,12,12,1,6,6,6,12,6,6,6,6,16,16,3,3,3,4,4,4,3,3,8,4,4,4,4,12,12,12,
1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,1,6,8,12,3,4,4,6,6,24,12,12,8,1,
3,3,6,2,8,2,6,12,6,6,24,1,3,3,6,6,6,6,1,3,3,1],[1,1,6,8,24,3,4,4,3,3,6,24,12,
12,12,48,1,3,6,3,8,6,6,6,12,12,12,12,12,12,12,12,12,24,1,1,3,3,6,6,3,6,6,12,6,
6,6,12,6,1,3,2,3,6,1],[1,1,14,12,7,28,6,6,12,12,8,7,8,3,3,2,2,6,12,6,6,24,1,3,
3,6,6,6,6,1,3,3,1],[1,1,2,8,1,6,4,4,4,4,3,4,4,2,2,4,4,1,2,1,2,1,2,2,1,1,1,1],[
1,1,6,8,16,1,3,3,4,4,4,8,8,8,8,32,1,3,3,2,2,2,4,4,4,4,4,2,4,4,8,8,8,8,8,1,1,1,
1,2,2,1,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,6,4,4,4,4,3,4,
2,2,4,8,1,1,1,2,2,4,1,2,1],[1,1,6,8,1,3,3,4,4,4,8,1,3,3,2,2,4,4,4,4,8,8,1,1,1,
2,2,4,4,4,4,4,1,2,2,2,1],[1,1,2,1,6,2,2,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,2,
8,1,6,4,4,4,4,3,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,1,3,3,4,8,1,3,3,2,4,
2,4,1,1,2,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,2,8,8,1,10,4,4,4,4,4,2,3,8,2,12,2,2,4,
4,4,4,1,4,2,1,2,1,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,16,1,6,4,4,8,8,16,3,4,2,2,
2,4,2,4,4,4,8,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,16,3,4,4,1,1,6,4,
24,4,8,8,8,16,1,3,2,6,1,8,4,2,2,2,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,8,8,1,1,1,4,
3,3,2,4,8,8,8,4,4,4,1,1,1,2,3,2,2,2,3,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,
8,1,6,4,4,8,16,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,16,1,3,3,4,8,8,8,8,32,1,3,
3,4,4,4,4,8,8,8,8,4,1,2,2,2,2,2,2,2,2,4,4,2,1,1,1,4,1],[1,1,2,8,8,1,10,4,4,4,
4,4,2,3,8,2,12,2,2,4,4,4,4,1,4,2,1,1,4,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,
6,2,2,4,4,4,8,4,4,4,4,3,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,2,2,
2,2,4,2,2,2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,12,16,1,1,1,4,2,2,2,6,8,12,4,
8,8,8,16,16,32,1,3,1,2,2,2,2,4,4,2,2,4,2,2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,
2,2,2,2,2,2,1],[1,1,6,8,1,3,3,4,2,2,4,4,4,8,1,3,3,2,2,2,2,4,4,4,4,4,4,8,4,1,1,
1,1,1,2,2,2,2,4,2,4,2,2,1,1,1,2,2,1],[1,1,6,1,3,3,4,2,2,4,8,1,3,3,2,2,2,4,4,4,
2,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,10,4,2,2,4,2,3,8,2,2,2,12,4,4,4,
4,1,1,1,4,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,16,1,3,3,4,8,8,8,32,1,3,3,2,4,4,4,
2,8,8,8,8,4,1,1,2,1,2,2,2,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,6,8,8,16,3,4,4,3,3,2,
4,24,8,4,8,8,8,16,32,32,1,1,1,2,3,6,3,8,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,8,8,16,8,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
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],[1,1,6,8,
8,8,1,3,7,4,4,4,4,8,8,4,4,4,4,32,1,3,5,4,2,2,2,4,4,2,2,8,4,4,4,4,4,8,8,8,8,8,
8,8,1,1,1,1,1,1,1,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,8,8,8,1,2,4,8,4,4,8,8,4,4,4,4,32,1,4,2,2,2,4,2,2,4,4,4,4,4,8,8,8,8,8,8,
1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,16,1,2,
4,4,4,8,8,16,1,2,2,2,2,4,2,4,4,4,4,8,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,
1,14,8,1,7,3,4,28,24,7,8,3,3,4,6,8,2,2,12,4,1,1,1,1,6,1,6,2,2,2,2,2,1,1,1,2,2,
1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,4,4,4,4,1,3,3,4,2,2,4,4,4,2,2,4,4,4,4,4,4,4,4,
4,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,2,16,1,6,2,2,4,8,16,3,4,2,2,2,4,2,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,4,
1,1,1,2,2,1],[1,1,6,8,16,1,3,7,4,4,8,8,8,8,32,1,3,5,4,2,4,4,2,4,4,4,2,8,4,8,8,
8,8,1,1,1,1,2,1,2,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,8,8,1,3,
7,4,4,4,4,8,8,1,3,5,4,2,2,2,4,4,4,4,8,4,4,4,8,4,1,1,1,1,1,2,2,2,2,4,4,4,2,4,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,1,2,2,2,4,4,8,8,8,1,1,
1,4,4,1,2,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,4,4,4,4,1,2,4,2,2,4,2,2,4,4,4,4,4,4,4,
4,4,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,
16,3,3,5,4,4,8,8,8,8,32,1,1,5,3,3,4,2,2,2,4,4,4,4,4,4,8,8,8,8,4,1,1,1,2,2,2,2,
2,2,2,2,2,4,4,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,1,3,7,4,4,2,2,4,8,1,3,
5,4,2,2,2,4,4,4,4,8,4,4,1,1,1,1,1,2,2,2,2,4,4,2,2,2,1,1,1,2,2,1],[1,1,2,8,16,
3,1,3,1,1,2,4,4,8,4,8,8,8,1,3,3,1,2,2,1,2,2,4,2,4,4,4,4,8,4,4,4,8,8,4,8,8,8,1,
1,2,1,1,1,1,1,2,2,4,2,2,4,2,2,2,4,4,2,2,8,2,1,1,1,2,2,2,2,2,1],[1,1,2,8,8,1,2,
4,4,8,4,8,1,2,2,2,4,4,2,6,4,4,4,4,8,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,
1,6,2,2,4,3,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,2,8,8,1,10,4,4,4,8,2,3,8,2,2,2,12,
4,4,4,4,1,1,1,4,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,4,4,1,
1,1,2,4,2,1,1,1,1],[1,1,2,1,6,2,2,4,3,4,2,2,4,4,4,1,1,1,2,2,4,1,1,1,1],[1,1,2,
8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,8,8,4,1,6,4,4,4,4,4,3,6,4,4,
6,12,2,2,4,4,1,4,4,6,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,16,
1,2,2,2,4,4,8,8,8,1,1,1,4,4,1,2,1],[1,1,2,8,8,1,10,4,4,4,4,4,2,3,8,2,12,4,2,2,
4,4,4,1,4,2,2,1,1,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,6,16,8,1,3,3,8,4,4,4,32,4,4,4,
4,16,1,1,1,2,2,2,2,8,2,4,8,2,2,2,2,6,4,4,8,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,1,3,7,4,4,
8,1,3,5,4,2,4,4,4,8,4,4,1,1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,6,8,4,8,3,4,4,
4,6,2,24,4,8,4,4,4,16,1,2,1,3,6,8,4,4,2,4,8,4,8,8,8,8,8,1,1,2,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,12,8,3,4,4,2,2,2,6,24,12,8,
4,4,4,16,32,1,3,1,6,2,8,4,4,2,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,1,3,3,
4,4,4,8,16,1,3,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,6,1,3,3,
4,1,3,3,4,4,4,1,2,2,4,2,2,4,2,1,2,2,2,1],[1,1,6,16,8,8,1,3,3,8,4,2,2,4,32,8,4,
4,4,4,16,32,1,1,1,2,2,2,8,2,2,4,8,2,2,2,2,6,4,4,8,4,4,4,4,4,8,4,4,8,4,4,8,8,8,
8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,8,16,8,1,2,4,2,2,4,8,8,16,4,4,4,4,16,16,32,1,2,4,2,2,4,
2,2,4,4,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,4,2,2,
2,2,2,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,8,16,1,2,4,2,2,4,8,8,8,16,1,2,2,2,
2,4,2,4,4,8,4,4,8,8,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,16,8,2,1,4,8,
2,2,4,8,8,16,1,1,1,2,2,2,2,4,2,4,2,6,2,2,2,4,8,8,8,1,1,1,2,1,1,1,1,2,4,2,2,2,
2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,16,8,1,3,3,4,4,4,8,16,4,4,4,4,16,16,1,3,3,2,4,
2,4,2,4,4,2,4,4,8,4,8,4,8,4,8,8,8,8,8,1,1,1,1,1,2,1,2,2,1,2,2,2,4,4,2,2,2,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,3,3,5,4,4,4,4,8,8,1,1,5,3,3,4,2,
2,2,2,2,4,4,2,4,4,2,4,4,4,8,1,1,1,1,1,1,2,2,2,2,1,2,2,2,4,2,4,2,4,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,3,1,3,2,2,4,2,2,4,8,4,4,4,1,3,3,2,1,1,2,
4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,1,4,2,2,2,2,4,2,2,2,2,2,2,4,1,
1,1,2,2,2,2,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,8,4,4,4,4,1,3,5,4,2,2,2,4,4,2,2,
8,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,2,2,4,2,4,2,2,2,2,2,2,2,2,4,4,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,1,14,4,16,7,28,2,2,4,2,2,4,4,8,8,8,32,16,7,8,2,1,1,2,
4,4,2,4,4,4,8,4,8,8,4,4,8,4,8,4,8,16,8,8,1,1,1,1,2,2,1,1,1,2,2,4,2,2,2,4,2,2,
2,8,8,8,8,2,1,1,1,2,2,2,2,2,1],[1,1,2,16,8,1,6,8,2,2,4,8,8,16,1,2,2,4,2,2,4,8,
4,4,10,8,8,4,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,
4,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,16,1,6,8,4,4,8,16,1,2,2,2,4,2,4,8,4,4,10,4,1,
1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,4,4,4,4,1,3,3,2,
4,2,4,2,4,4,2,4,4,4,4,4,4,4,4,4,4,8,4,8,1,1,1,1,1,2,2,1,1,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,1,1,1,4,1,1,6,4,8,8,4,4,4,1,3,
2,2,2,2,1,4,2,4,2,2,4,4,4,4,4,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,2,2,2,2,2,2,1],[1,1,14,8,8,7,28,1,1,2,4,4,8,8,4,4,4,16,7,8,1,2,2,1,2,2,4,
2,4,4,4,4,4,4,4,8,4,4,16,8,8,8,1,1,1,1,1,1,2,2,1,4,2,2,4,2,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,2,2,2,2,1],[1,1,6,8,3,3,5,4,4,2,2,4,8,1,1,5,3,3,4,2,2,2,2,2,4,4,2,4,
4,2,4,1,1,1,1,1,1,2,2,2,1,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,16,2,1,4,8,4,4,
8,16,1,1,1,2,2,2,2,2,4,4,2,6,2,2,2,4,8,1,1,1,2,1,1,1,1,2,2,4,2,2,2,2,2,4,1,1,
1,1,1,1,1,1],[1,1,6,8,1,3,3,4,4,4,4,4,4,4,4,4,1,1,3,3,2,2,3,4,4,2,4,2,2,2,4,4,
4,4,4,4,4,4,1,1,1,1,2,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,2,8,1,6,4,4,4,4,3,4,4,2,2,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,6,8,1,3,
7,4,4,8,1,3,5,4,2,4,4,4,8,4,4,1,1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,16,1,
6,4,4,8,8,16,3,4,2,2,4,4,6,2,4,8,4,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,
2,8,1,6,2,2,8,4,3,4,2,2,4,4,2,6,4,4,4,8,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,
1,6,8,3,3,5,4,4,8,8,1,1,5,3,3,4,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,4,2,1,
1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,8,1,1,1,4,4,1,2,1],[1,1,2,8,8,8,1,
2,4,4,4,4,4,8,8,4,4,4,4,1,1,2,2,3,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,
1,1,1,1,2,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,
3,3,5,4,4,8,1,1,5,3,3,4,2,2,2,4,4,2,2,4,4,1,1,1,1,2,2,2,1,2,2,2,2,4,2,2,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,2,8,4,16,1,1,1,4,4,6,2,8,4,4,8,8,8,32,1,2,1,3,2,2,2,
4,2,2,2,2,2,4,4,8,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,4,4,1,1,1,2,
2,2,2,4,4,1,2,2,2,1],[1,1,2,8,16,1,2,4,2,2,4,8,8,8,16,1,2,2,2,4,4,6,2,4,8,4,8,
8,4,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,1,3,3,4,2,2,4,1,3,3,2,2,4,4,8,
1,1,1,2,2,4,4,4,1,2,2,2,1],[1,1,6,8,1,3,7,4,4,8,8,1,3,5,4,2,4,4,2,4,2,8,4,1,1,
1,1,2,1,2,2,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,2,4,16,12,1,1,3,2,1,1,4,2,8,4,16,2,
6,6,6,16,16,32,1,1,2,4,1,1,1,4,2,2,1,2,2,3,4,8,2,4,2,2,4,2,4,2,4,4,2,6,8,6,4,
4,8,8,8,8,4,8,1,1,1,1,1,1,2,1,1,1,3,2,1,1,1,1,1,1,1,2,1,2,2,1,1,1,1,1,4,4,4,4,
4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,8,8,1,1,7,6,4,4,8,4,4,4,8,
32,1,1,1,3,2,3,1,2,8,6,2,2,4,4,5,4,4,2,4,8,8,8,1,1,1,1,1,1,1,1,2,1,1,2,2,1,2,
2,2,2,2,4,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,16,1,1,1,4,1,1,
2,8,4,8,16,1,1,2,2,2,1,2,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,2,1,2,
1],[1,1,2,4,4,16,2,1,2,2,2,2,2,2,8,16,16,1,1,2,1,2,2,4,2,2,1,1,4,4,2,4,4,2,8,
4,8,4,1,1,1,1,2,2,1,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,4,2,4,2,2,
1,1,2,1,2,2,2,4,2,1,1,2,2,1,1,1,1,1,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
24,1,2,2,2,4,4,4,12,16,1,2,2,2,2,4,2,4,4,4,4,8,8,4,1,1,1,2,2,2,2,4,4,4,1,1,1,
2,2,1],[1,1,2,12,3,1,5,6,2,2,4,4,8,1,1,3,1,2,1,1,4,2,2,6,8,2,2,2,3,4,4,2,1,1,
1,1,1,1,2,2,1,2,1,2,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,20,1,1,3,2,1,1,2,
4,4,8,6,10,10,10,16,16,32,1,1,2,1,1,1,2,2,2,3,2,2,2,5,4,4,4,4,2,2,2,2,2,4,2,2,
2,2,4,2,4,4,4,8,8,4,8,8,8,8,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,1,1,
2,1,1,1,2,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,4,8,1,
1,1,4,2,2,8,4,4,4,4,8,32,1,1,1,2,2,2,2,2,2,2,2,8,8,4,8,4,8,1,1,1,2,2,4,2,2,2,
4,2,2,2,1,1,1,4,1],[1,1,2,12,8,1,1,7,6,4,4,4,4,4,8,1,1,1,3,2,3,1,2,8,6,2,2,4,
4,5,4,4,4,2,8,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,1,2,2,2,4,4,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,6,12,8,2,3,4,6,4,2,2,12,4,4,4,8,1,2,1,1,1,4,1,3,2,2,2,
2,4,2,2,8,3,4,4,4,4,4,2,1,2,1,1,1,1,1,2,2,1,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,2,8,12,8,1,1,1,4,6,6,8,4,4,4,4,8,32,1,1,1,2,2,2,2,2,2,2,2,2,6,2,2,2,2,4,6,
6,8,8,8,8,1,1,1,2,2,2,1,2,2,2,1,2,2,1,2,1,2,4,2,2,2,2,2,4,2,2,2,1,1,2,1,2,2,2,
2,2,1],[1,1,2,4,8,8,2,1,2,2,8,4,4,8,16,1,1,2,2,1,4,2,1,2,4,3,2,6,2,4,4,2,4,4,
8,4,4,1,1,1,2,1,2,1,2,3,4,1,1,1,2,2,4,4,2,2,2,2,4,2,4,1,1,1,1,1,2,1,1,2,2,2,
1],[1,1,2,16,8,2,1,4,8,8,4,4,4,4,16,1,1,1,2,2,2,4,4,2,6,2,2,2,8,4,4,8,8,1,2,1,
1,1,1,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,4,7,28,2,2,4,4,8,7,8,1,1,
2,4,8,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,16,1,1,1,4,1,1,2,4,4,8,8,4,8,8,8,
16,16,32,1,1,2,2,2,2,2,1,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,
4,4,8,4,8,8,8,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,2,1,1,
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],[1,1,6,4,4,4,1,3,1,2,
4,1,1,4,4,2,4,4,10,2,2,2,1,1,2,2,1,2,1,1,2,2,5,2,2,1,2,4,2,2,2,2,4,2,2,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,2,12,8,12,1,6,2,2,2,2,4,12,8,6,6,6,6,16,16,32,1,2,1,3,
2,4,2,3,2,3,8,2,2,2,2,4,2,4,2,4,4,4,4,4,4,8,8,8,4,8,8,8,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,1,2,1,1,1,1,1,2,1,2,2,1,1,1,1,4,4,4,4,8,8,1,1,1,1,1,1,1,1,1,1,2,
1,1,1,1],[1,1,2,16,3,1,3,1,1,2,4,8,16,1,3,3,1,1,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,
2,2,4,2,4,1,1,2,1,2,1],[1,1,2,12,4,12,1,6,1,1,4,4,2,12,4,6,6,6,6,16,16,2,1,2,
3,1,4,3,3,8,2,2,2,2,2,2,2,4,2,4,2,2,4,4,4,4,4,4,4,4,8,8,8,4,1,1,1,1,1,1,1,1,2,
1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,2,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1],[1,1,6,8,16,3,4,1,1,2,4,8,4,8,8,8,32,1,1,2,1,2,2,2,4,4,8,4,8,2,4,8,2,4,4,4,
8,4,4,1,1,1,2,2,2,1,1,4,2,4,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,
12,8,8,3,1,5,6,4,4,8,4,4,4,8,32,1,1,3,1,2,2,1,1,4,2,6,8,2,2,2,4,3,4,4,2,4,8,8,
8,1,1,1,1,1,1,2,1,2,1,2,2,1,2,3,2,1,2,4,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,6,8,8,8,3,4,4,1,1,2,4,4,24,8,8,4,4,4,16,1,1,2,2,6,1,8,4,2,4,2,2,2,2,
2,2,2,2,2,4,2,4,8,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,
1,1,1,1,1,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,
1,1,2,2,2,2,4,4,8,1,1,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,
1,2,4,4,12,1,1,3,2,2,2,2,8,2,4,4,2,6,6,6,1,1,1,1,4,1,2,4,2,2,2,1,2,2,2,3,4,2,
2,6,2,2,2,2,2,2,2,4,6,2,4,8,8,1,1,1,2,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,2,1,
1,2,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,16,3,4,1,1,2,4,4,8,8,
8,32,1,1,2,1,2,2,2,4,8,8,8,4,4,4,4,4,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,6,4,4,12,3,2,2,4,4,4,2,4,2,4,4,2,6,6,6,1,1,1,1,1,2,3,1,4,2,2,2,1,2,3,
4,2,4,4,2,6,2,4,6,2,2,4,4,4,2,4,2,4,2,4,4,4,1,1,2,1,1,1,1,1,1,1,2,2,1,2,1,1,1,
3,1,1,1,2,1,1,2,1,1,1,2,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,
4,16,3,4,4,2,2,4,2,2,24,4,4,8,8,8,16,16,16,1,2,1,1,6,2,8,2,2,2,2,2,4,4,4,4,2,
2,2,2,2,4,2,2,2,2,4,4,4,2,4,2,4,2,4,4,4,4,4,4,4,8,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,2,16,1,2,4,4,4,8,16,1,1,2,3,4,4,4,4,8,8,4,1,1,2,1,2,2,2,4,4,
4,1,1,1,2,2,1],[1,1,2,4,4,16,1,4,2,2,2,2,2,8,16,16,1,1,1,2,2,2,4,2,2,1,1,4,4,
2,4,2,4,8,4,8,4,1,1,1,1,2,2,1,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,24,
1,1,1,1,1,2,4,8,4,4,12,16,1,1,2,1,4,2,4,4,2,4,4,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,
2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,12,1,1,3,2,1,1,4,2,4,10,6,6,6,1,1,2,1,1,1,
2,2,5,2,2,3,4,2,2,2,2,2,2,2,4,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,
2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,12,1,3,1,2,4,
2,2,6,2,4,6,6,6,6,1,1,2,3,1,1,2,4,2,2,3,2,2,3,2,4,4,2,2,4,4,2,2,2,2,4,4,2,2,8,
4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,2,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,8,12,1,3,1,2,4,2,6,4,4,8,6,6,6,6,16,16,
1,1,2,1,2,3,1,4,3,2,2,3,2,4,4,4,4,4,4,2,4,4,2,4,4,4,8,4,4,4,4,4,4,8,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,6,16,4,8,1,3,3,8,4,1,1,2,2,2,32,4,4,4,4,4,16,16,16,1,1,1,2,
1,1,1,2,8,2,1,4,8,2,2,2,2,2,2,6,4,8,2,4,2,4,4,4,2,2,2,4,4,2,2,2,8,4,4,4,4,8,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,2,1,1,4,4,4,4,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,1,1,3,2,2,2,2,2,4,4,10,6,6,6,
1,1,1,1,1,2,2,2,2,5,2,2,2,3,4,4,2,2,2,4,2,2,4,2,4,4,2,2,4,4,4,4,4,4,1,1,1,1,1,
1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,1,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,6,4,4,20,1,3,1,2,4,1,1,4,4,2,4,4,2,10,10,10,16,16,16,16,1,1,
2,2,1,2,1,1,2,1,2,2,2,5,2,4,4,4,2,4,2,2,4,2,2,4,2,4,2,2,4,4,4,4,2,4,2,8,4,4,4,
8,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,1,1,2,8,4,1,1,2,
2,2,1,2,4,2,4,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,4,20,3,2,2,4,1,1,4,2,4,6,10,
10,10,16,16,1,1,2,1,1,1,2,3,2,5,4,4,4,4,2,2,2,2,4,2,2,2,4,4,4,4,2,4,4,8,4,8,8,
4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,7,6,2,2,4,4,8,1,1,1,3,3,1,2,2,8,6,2,
2,4,5,4,4,2,1,1,1,1,1,1,1,1,2,2,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,
3,4,2,6,12,12,16,1,3,1,4,6,8,4,8,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,16,8,1,4,2,
4,8,8,4,16,8,16,1,1,2,1,4,2,1,2,4,3,2,6,2,4,2,4,2,8,4,4,4,4,1,1,1,2,1,2,4,1,1,
1,2,2,3,1,4,2,4,2,2,2,2,4,2,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,1,6,12,3,4,10,6,12,
4,8,1,3,5,2,4,2,2,12,6,6,4,1,1,3,2,2,6,2,6,4,4,1,1,1,2,2,1],[1,1,6,12,8,3,4,2,
2,6,6,12,4,4,4,8,1,3,3,2,2,2,2,4,4,4,4,12,6,4,6,4,1,1,3,2,2,6,2,6,4,4,1,1,1,2,
2,1],[1,1,2,16,1,1,1,3,3,2,4,8,16,1,1,1,3,3,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,4,4,1,1,1,2,2,1],[1,1,6,8,4,8,3,3,5,4,4,1,1,2,2,2,8,4,4,4,4,4,1,1,5,3,3,4,1,
1,1,2,2,2,1,4,4,2,2,2,2,2,2,4,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,1,1,1,1,2,1,2,2,
1,2,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,2,2,1,4,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,2,24,1,1,1,1,1,2,4,4,4,12,16,1,1,2,1,2,4,2,2,4,4,4,4,4,4,4,4,4,
1,1,1,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,8,3,1,3,2,2,4,4,4,4,8,1,3,3,1,1,2,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,2,8,16,1,2,
8,4,8,8,16,1,4,2,4,4,2,4,4,2,4,8,8,1,1,1,2,2,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,
6,24,3,4,1,1,6,12,12,12,32,1,3,1,4,2,2,6,4,8,4,8,2,4,8,2,4,4,8,4,4,1,1,1,2,2,
2,1,1,2,2,4,2,2,2,2,4,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,4,16,2,1,2,2,4,
2,2,8,16,16,1,1,2,2,1,2,2,4,2,1,1,4,4,2,4,4,2,8,4,8,4,1,1,1,1,2,2,1,2,4,2,2,2,
2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,3,2,4,4,2,4,2,4,4,6,2,2,2,1,1,1,1,1,
2,3,1,4,2,2,3,2,2,1,2,2,2,2,4,2,2,4,4,2,2,2,2,4,2,2,1,1,2,1,1,1,1,1,1,1,3,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,
8,4,3,4,4,2,2,24,4,4,8,1,1,1,6,8,2,4,8,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,14,8,7,
28,1,1,2,4,4,4,16,7,8,1,1,2,2,2,4,4,4,4,2,4,2,8,4,1,1,1,2,2,1,1,4,2,4,2,2,2,2,
1,1,1,2,2,1],[1,1,2,12,8,1,1,1,10,6,4,4,4,4,8,1,1,3,2,4,2,2,6,2,2,2,4,4,4,6,4,
6,4,8,1,1,1,2,2,2,2,2,1,1,2,2,2,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,4,
16,4,3,2,2,4,1,1,4,2,8,4,16,6,2,2,2,16,16,1,1,2,4,1,1,1,4,2,2,3,1,4,4,8,2,4,4,
2,4,2,4,2,8,8,12,4,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,3,1,1,1,2,1,1,2,1,2,1,1,1,1,
1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,4,8,2,1,4,8,2,2,8,
4,16,8,16,1,1,1,2,2,2,4,4,2,6,1,2,2,1,2,1,1,8,2,4,2,2,4,2,4,4,1,2,1,1,2,1,1,2,
1,1,1,2,1,1,2,1,2,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,
16,8,2,1,2,2,4,8,8,4,16,8,16,1,1,2,2,1,4,2,3,2,4,1,6,2,2,4,4,2,4,8,4,4,4,1,1,
1,2,2,1,2,4,1,1,3,1,1,2,4,2,2,2,2,2,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
12,8,3,1,5,6,4,4,4,4,4,8,1,1,3,1,2,2,1,1,4,2,6,8,2,2,2,4,3,4,4,4,2,8,1,1,1,1,
1,1,2,1,2,2,1,2,1,2,2,3,1,2,2,2,4,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
2,12,3,1,5,6,4,4,4,8,1,1,3,1,2,2,1,1,4,2,6,8,2,2,2,3,2,1,1,1,1,1,1,2,1,2,2,1,
2,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,1,1,1,1,6,4,8,16,1,3,1,4,2,4,2,4,4,
4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,1,4,2,4,4,8,1,1,
2,1,2,3,2,1,2,4,2,2,4,1,1,1,2,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,
2,1,2,2,4,4,8,1,1,2,2,1,2,1,2,3,4,2,2,4,1,1,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,2,8,4,8,1,10,4,2,2,4,8,16,2,3,8,2,12,1,2,2,1,4,1,1,4,4,2,2,2,2,4,
4,4,1,4,2,4,1,1,2,1,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,4,8,1,6,2,2,4,8,3,4,1,2,2,5,1,1,2,2,2,2,1,2,1,1,1,2,1,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,2,4,8,1,6,2,2,4,8,3,4,5,2,2,1,1,1,2,2,2,2,1,2,2,1,1,1,1,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,16,1,4,2,4,2,2,8,16,16,1,1,2,1,2,4,
2,2,2,1,1,4,4,2,4,2,4,8,4,8,4,1,1,1,1,2,2,1,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,1,2,4,1,1,1,4,2,2,4,4,1,2,1,1,2,2,2,2,2,4,1,1,1,2,1,2,2,1,2,2,2,2,1,1,1,
1],[1,1,2,12,8,1,1,1,2,6,12,4,4,4,16,16,1,3,1,4,2,2,2,2,2,8,4,4,4,8,4,8,1,1,1,
2,1,2,2,1,2,2,4,4,2,2,1,1,1,2,2,1],[1,1,6,4,24,1,3,3,4,1,1,2,2,2,4,4,12,12,12,
16,32,16,1,3,3,1,1,1,1,2,2,4,2,4,6,4,4,4,2,2,2,2,2,2,8,2,2,4,2,8,8,4,2,8,2,4,
2,4,4,4,8,8,4,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,4,4,1,
1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,12,12,1,3,1,2,4,1,1,4,
6,4,12,6,6,6,6,16,16,16,16,1,1,2,3,2,1,1,4,3,2,2,3,2,8,2,2,2,2,2,2,4,2,4,2,2,
4,2,2,4,4,2,4,4,4,8,4,4,4,4,4,8,4,4,8,1,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,
1,1,1,2,1,2,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,
8,8,2,1,2,2,4,8,4,8,1,1,2,2,1,2,3,2,1,4,2,2,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,6,4,8,12,3,2,2,4,1,1,2,4,4,8,10,6,6,6,16,16,1,1,2,1,1,1,5,3,
4,4,4,2,2,2,2,2,4,2,4,2,2,2,4,2,4,8,8,8,4,4,8,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,2,1,2,1,1,2,1,1,1,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,4,4,20,1,1,3,2,2,4,2,4,4,6,10,10,10,16,16,1,1,1,1,2,1,2,2,3,2,2,5,4,4,4,4,
4,4,4,4,4,2,4,2,4,4,4,8,8,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,6,6,4,
2,2,12,4,4,4,8,1,1,3,1,3,3,2,2,6,2,2,12,3,4,4,4,4,4,2,1,1,3,1,3,3,2,1,2,2,6,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,2,4,8,4,4,4,4,8,16,1,2,2,2,4,4,4,8,8,4,1,1,
1,2,2,2,2,1,1,1,1],[1,1,6,4,8,3,4,4,2,2,4,8,4,4,4,16,1,2,1,1,4,2,4,4,8,8,4,1,
2,1,1,2,2,2,1,1,1,1],[1,1,6,4,8,4,1,3,1,2,4,2,2,2,2,4,4,8,10,2,2,2,1,1,2,1,2,
1,1,2,2,2,5,2,2,1,2,4,2,6,2,2,2,6,2,4,2,2,2,2,4,2,4,8,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,6,8,3,4,3,3,6,4,8,4,1,3,2,3,6,6,2,4,4,4,4,8,4,1,1,1,3,2,3,2,4,4,2,2,
2,1,1,1,2,2,1],[1,1,6,4,4,12,3,2,2,4,2,4,2,4,4,10,6,6,6,16,16,1,1,1,1,2,1,5,3,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,2,2,4,4,4,4,1,
2,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,20,3,4,6,10,20,4,8,16,8,1,5,
3,2,4,2,2,8,12,6,6,8,4,16,1,1,3,2,2,6,6,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,2,2,
12,4,1,4,2,4,4,4,2,6,4,4,8,4,1,1,1,2,2,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,16,8,
1,6,8,8,4,4,4,4,16,1,2,4,2,4,8,2,2,2,2,4,10,4,8,8,1,1,1,1,1,2,4,2,4,2,2,4,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,8,4,16,1,2,4,1,1,2,2,2,8,4,8,8,8,8,16,16,1,1,1,1,2,
1,2,4,2,4,4,4,2,2,2,4,2,2,2,2,4,4,2,4,4,4,4,8,4,4,8,4,4,4,8,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,4,4,4,3,2,2,4,2,2,2,8,2,4,4,6,2,2,2,1,1,1,1,4,1,2,4,2,2,3,1,4,
4,2,2,2,2,2,2,2,2,2,4,2,4,4,1,1,1,2,1,1,1,1,1,1,1,1,1,3,2,1,1,1,2,1,1,1,2,1,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,3,3,4,1,1,2,2,2,4,12,4,4,
4,1,3,3,1,1,1,1,6,2,4,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,
4,12,1,3,1,2,4,3,3,4,2,4,4,6,6,6,6,1,1,1,2,2,1,3,1,3,2,2,2,3,2,2,2,3,2,2,4,2,
2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,
1,2,1,1,2,1,2,1,1,1,1,1,1,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,
16,4,8,1,3,3,8,4,1,1,2,2,2,32,4,4,4,4,4,16,32,1,1,1,2,1,1,1,2,8,2,1,4,8,2,2,2,
2,2,2,2,2,6,4,8,2,2,4,2,2,2,4,2,4,4,4,8,4,8,8,4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,2,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,2,24,1,2,4,4,4,4,12,16,1,2,2,4,2,2,4,4,4,4,2,8,8,1,1,1,2,2,2,4,2,
4,4,4,4,1,1,1,2,2,1],[1,1,6,16,1,3,3,8,4,32,16,1,1,1,2,2,8,2,4,8,2,2,2,2,6,4,
8,4,1,1,1,1,1,1,1,1,1,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,4,8,3,4,2,2,2,2,4,
8,4,4,4,8,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,12,8,2,3,4,
6,4,4,12,4,4,4,8,1,2,1,1,1,4,2,1,3,2,2,2,4,2,2,8,3,4,2,8,8,1,1,2,1,1,1,1,2,2,
1,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,6,6,4,4,12,4,4,4,8,1,1,3,1,2,
3,3,2,6,2,2,12,3,4,2,8,8,1,3,1,1,3,3,2,1,2,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,1,6,
4,8,12,3,2,2,4,1,1,8,2,4,4,8,2,6,6,6,16,16,1,1,4,2,1,1,1,4,2,2,1,3,4,4,2,4,4,
2,2,4,4,4,2,4,4,12,4,4,4,8,4,8,4,1,1,1,1,1,1,1,1,1,2,1,1,3,2,1,1,1,1,2,1,1,1,
1,2,2,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,4,8,4,1,6,4,2,2,
4,8,16,3,6,4,4,6,12,1,2,2,1,1,1,2,4,2,2,4,2,4,4,1,4,4,6,1,1,2,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,4,1,1,3,2,1,1,8,2,4,4,
8,6,2,2,2,1,1,4,2,1,1,1,4,2,2,3,2,2,1,2,2,2,2,4,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,
1,1,2,1,1,1,1,3,1,1,1,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,12,2,3,4,6,4,4,12,4,8,1,2,1,1,1,4,2,1,3,2,2,2,4,2,2,8,4,3,2,1,2,1,1,1,1,1,
2,2,2,1,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,4,4,6,6,12,4,4,4,8,8,16,
1,2,3,3,2,2,2,4,12,6,6,8,8,4,16,1,3,1,2,2,6,6,2,4,4,1,1,1,2,2,1],[1,1,2,12,1,
1,1,2,2,6,6,4,4,8,1,1,1,2,2,2,2,2,6,2,2,4,4,4,6,6,4,1,1,1,2,2,2,2,1,1,2,2,2,2,
2,2,2,1,1,1,2,2,1],[1,1,2,4,8,8,1,4,2,8,4,4,8,16,1,1,2,1,4,2,3,2,4,1,2,2,6,4,
2,4,2,4,8,4,4,4,1,1,1,2,2,2,3,2,1,1,4,1,1,1,2,4,2,2,2,2,4,4,2,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,8,4,16,1,2,4,1,1,2,2,2,8,4,8,8,8,8,16,16,1,1,1,1,2,1,4,4,4,
4,4,4,2,2,2,2,2,2,2,2,2,4,4,2,4,4,4,8,8,4,4,4,4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,6,12,3,6,6,4,4,12,4,8,1,1,3,1,2,3,3,2,6,2,2,12,4,3,2,1,1,3,1,3,3,2,2,
2,2,1,2,6,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,1,1,2,4,8,4,4,4,1,1,2,1,2,4,4,4,
4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,4,8,1,1,1,4,2,2,4,2,2,8,4,8,4,4,4,1,
2,1,1,2,2,2,2,4,2,4,2,4,2,2,2,4,2,4,2,2,4,2,4,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,2,12,1,1,7,6,4,4,4,8,1,1,1,3,2,3,1,2,8,6,2,2,4,5,2,1,1,1,
1,1,1,1,1,2,1,1,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,4,8,2,1,4,8,2,2,8,
4,16,8,16,1,1,1,2,2,2,4,4,2,6,1,2,2,1,2,1,1,8,4,2,2,2,2,4,4,4,1,2,1,1,2,1,1,2,
1,1,1,1,2,1,2,1,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,
8,1,2,4,2,2,8,4,8,1,2,3,2,2,3,1,1,4,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,8,4,8,1,2,4,2,2,8,4,8,1,2,3,2,2,3,1,1,4,2,2,2,2,1,1,1,1,1,
1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,4,4,4,1,2,2,2,2,2,2,4,4,
2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,8,1,4,2,4,8,4,8,1,1,2,1,2,1,2,3,2,4,2,2,4,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,4,2,2,2,2,2,1,1,1,2,
2,4,2,2,2,1,1,2,2,1,1,1,2,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,20,
3,2,2,4,2,2,2,2,4,4,6,10,10,10,16,16,16,16,1,1,1,1,1,2,2,3,2,5,4,4,4,4,4,2,2,
2,4,4,4,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,2,2,1,1,1,1,2,2,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,16,1,2,4,8,16,16,8,1,2,4,4,4,8,4,8,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,
24,1,2,4,4,12,16,16,16,8,1,2,4,4,4,4,6,2,8,4,8,4,8,4,16,1,1,2,1,2,2,4,4,2,4,4,
4,1,1,1,2,2,1],[1,1,14,8,4,8,1,7,3,4,28,1,1,2,2,2,24,4,4,4,4,4,16,16,7,8,3,3,
4,1,1,1,6,1,8,2,2,2,2,12,2,4,4,4,2,4,2,2,2,4,4,2,2,2,8,8,4,4,4,4,4,4,1,1,1,6,
1,1,1,6,1,1,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,12,8,3,6,6,4,4,12,8,4,8,1,1,3,1,2,3,3,2,6,2,2,12,4,3,
2,8,8,1,3,1,1,3,3,2,2,1,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,8,4,8,1,4,2,4,
2,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,1,2,8,4,4,4,4,4,1,2,4,2,4,2,2,6,4,
4,4,8,4,1,1,1,2,2,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,12,1,1,1,4,6,6,4,4,8,8,1,
2,1,1,2,2,2,2,6,2,2,4,6,6,4,1,1,1,2,2,2,2,2,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
2,12,8,3,1,3,6,6,4,4,4,4,8,1,3,3,1,1,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,6,6,4,1,1,
1,2,2,2,1,2,2,2,2,2,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,2,1,2,2,2,1],[
1,1,2,1,2,2,2,8,1,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,4,8,20,1,3,1,2,4,
2,2,2,2,4,4,8,2,10,10,10,16,16,16,16,1,1,2,1,2,1,1,2,2,1,2,2,2,5,2,4,4,4,2,2,
2,6,4,2,4,2,4,4,6,4,2,2,2,4,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,24,3,4,3,3,2,12,12,12,32,1,1,1,3,3,2,2,
2,2,6,4,4,8,4,4,8,8,4,4,4,4,4,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,2,2,2,2,1],[1,1,2,1,1,1,1,1,6,4,1,3,1,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,1,1,1,3,3,2,4,1,1,1,3,3,2,2,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,
4,4,4,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,1,3,1,1,2,4,1,3,3,1,1,2,
2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,12,8,2,3,4,6,4,4,12,8,4,8,1,2,1,1,1,4,2,1,
3,2,2,2,4,2,2,8,4,3,2,8,8,1,1,2,1,1,1,1,2,2,2,1,2,2,2,4,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,8,3,4,5,5,6,4,4,4,1,1,3,3,5,6,2,6,2,2,4,4,4,4,2,2,1,1,3,1,2,2,2,2,3,
1,1,4,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,3,4,3,3,10,4,4,4,1,5,3,4,6,6,2,4,4,4,8,4,
1,1,1,3,2,2,3,2,2,4,4,2,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,6,2,4,4,4,4,8,1,1,3,4,2,
2,2,2,2,4,4,4,4,8,1,1,1,2,1,2,2,1,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,1,1,
2,4,4,4,4,1,1,2,1,2,2,2,4,2,4,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,16,8,1,2,4,8,
8,4,4,4,4,16,8,16,1,2,4,2,4,2,6,2,4,4,8,4,8,8,4,16,1,1,1,2,2,4,2,4,2,4,4,4,1,
1,1,2,2,1],[1,1,2,20,8,1,1,1,6,10,12,4,4,4,8,16,8,16,1,3,1,2,4,2,2,6,2,2,2,8,
4,4,4,6,6,4,8,4,8,16,16,1,1,1,2,2,2,2,2,1,1,2,2,2,2,4,4,2,2,4,4,4,4,1,1,1,2,2,
2,2,4,1],[1,1,6,8,8,3,4,4,1,1,2,24,4,4,4,16,1,1,6,1,8,2,2,2,4,4,4,2,4,4,2,4,8,
1,1,1,2,2,1,1,4,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,2,4,4,2,1,2,2,4,2,2,1,1,2,2,1,2,
4,2,2,1,1,2,2,1,1,1,2,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,3,4,3,3,6,4,
4,1,3,2,3,6,6,2,2,2,1,1,3,1,2,2,3,1,1,2,2,1,1,1,1],[1,1,2,4,4,2,1,2,2,2,2,2,2,
1,1,2,1,2,2,2,2,4,1,1,2,2,1,1,1,1,1,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
1,2,4,4,4,1,1,2,3,4,2,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,3,4,6,2,4,12,8,1,1,
3,4,6,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,14,12,3,3,7,6,8,4,8,4,12,1,2,1,1,3,3,2,
2,2,6,3,2,3,6,2,2,6,8,8,3,1,1,2,1,2,3,3,1,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,6,
12,3,7,3,6,4,8,4,12,1,1,1,2,2,3,3,2,2,6,3,3,2,6,2,2,6,1,2,3,1,1,3,3,1,2,2,2,2,
2,6,1,1,1,1,1,1,1,1],[1,3,4,4,16,1,2,3,3,6,2,2,2,6,12,8,8,1,1,3,1,2,2,2,2,2,2,
3,6,2,1,2,1,2,2,6,2,2,6,2,6,2,1,1,1,1,2,1,3,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,4,4,16,1,4,1,3,6,2,2,2,6,12,8,8,1,1,1,1,2,2,2,2,2,2,2,3,2,4,1,2,2,1,4,
4,2,2,2,2,2,2,2,6,2,1,1,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,8,4,8,4,1,6,4,2,2,4,8,16,1,3,6,3,1,3,3,9,1,2,2,1,3,1,1,3,2,2,2,2,2,2,2,2,
4,4,1,1,1,3,1,3,1,1,1,3,1,1,1,3,1,2,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,4,8,2,1,4,8,2,2,8,4,16,8,16,1,1,1,
1,4,2,5,4,3,5,1,2,2,1,3,1,1,5,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,3,2,1,1,1,2,1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,7,20,7,5,5,10,8,20,1,1,1,5,3,2,5,6,10,3,2,6,10,6,2,1,3,1,1,5,3,3,2,
2,2,6,2,1,1,1,1,1,1,1,1],[1,3,4,4,16,1,2,3,3,6,2,2,2,6,12,8,8,1,1,1,1,2,2,2,2,
2,2,3,2,2,4,1,2,2,1,4,4,2,2,2,2,2,2,2,6,2,1,1,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,7,20,7,2,3,5,10,8,20,1,1,1,3,3,2,2,4,5,6,6,2,3,2,4,10,4,
2,2,3,1,1,2,2,1,3,3,1,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,7,20,7,2,3,5,10,8,20,1,1,
1,3,1,2,2,2,4,4,5,2,6,2,3,6,10,6,2,1,1,1,2,1,3,2,1,3,2,4,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,12,2,1,7,3,6,4,8,4,12,1,1,1,2,2,1,1,2,2,2,2,2,3,4,4,3,2,2,2,2,6,
1,2,1,1,2,1,1,1,2,2,1,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,16,1,5,3,6,2,2,
2,6,12,8,8,1,1,3,1,2,2,2,2,2,3,6,1,2,2,2,1,2,2,6,2,2,6,2,6,2,1,1,1,1,2,1,3,3,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,20,7,4,1,5,10,8,20,1,1,1,1,1,4,2,2,4,
8,5,2,2,3,2,2,4,10,4,2,2,1,1,1,4,2,1,1,2,1,1,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,14,12,2,1,3,7,6,8,4,8,4,12,1,2,1,1,2,2,1,1,2,2,2,2,3,4,4,2,3,2,2,2,6,8,8,
1,1,1,2,1,1,1,2,2,1,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,16,3,6,6,4,12,
8,16,1,1,3,1,3,3,2,6,12,3,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,6,12,16,3,4,6,6,12,8,
16,1,3,3,2,2,12,6,6,4,8,3,6,6,4,8,8,1,1],[1,3,12,16,1,6,3,3,6,16,3,3,3,6,6,6,
4,1,3,3,4,3,1,1],[1,1,6,16,3,4,3,3,6,16,1,3,3,6,6,4,1,3,3,4,1,1,1],[1,3,12,16,
1,9,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,1,6,12,16,3,3,3,6,4,8,12,16,1,1,1,
3,3,2,6,3,3,6,6,4,8,3,3,3,6,4,4,4,8,1,1],[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],[1,3,12,16,1,3,9,6,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,
7,12,16,7,3,3,6,8,12,16,1,1,1,3,3,2,3,6,6,3,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,3,
12,16,1,3,3,6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,7,12,16,7,3,3,6,12,16,1,3,
3,6,6,6,6,4,1,3,3,4,1,1,1],[1,1,6,8,12,12,4,3,4,4,3,3,6,24,12,6,6,6,6,48,4,4,
4,8,8,1,3,6,3,8,3,3,6,6,6,6,6,6,12,12,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,
12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,8,12,4,3,4,4,6,6,24,6,6,6,6,4,8,8,1,3,3,
6,8,3,3,12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,14,24,4,7,28,3,
3,6,12,12,12,48,4,4,4,8,8,7,8,3,3,6,6,6,12,12,12,12,12,24,1,4,4,4,8,8,1,3,3,6,
6,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,6,6,16,3,3,3,3,3,4,4,4,12,16,1,1,1,
1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,1,14,8,4,1,7,3,4,28,
24,4,8,8,7,8,3,3,4,6,8,12,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,1,2,12,12,4,
3,3,1,6,6,24,4,4,4,8,8,3,1,3,3,3,3,6,3,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,6,12,4,1,3,3,4,3,3,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,12,12,4,1,3,3,4,6,6,12,6,6,6,6,4,8,8,1,3,
3,3,3,3,3,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,8,4,4,1,6,
4,4,8,8,3,6,4,4,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,2,8,4,4,1,6,4,4,8,8,1,
3,6,3,1,3,3,9,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,2,24,4,1,6,12,24,4,
4,4,8,8,3,4,3,6,3,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,6,6,
4,8,8,3,4,6,3,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,14,12,4,7,28,6,6,12,
12,4,8,8,7,8,3,3,6,12,24,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,2,12,4,3,1,
3,6,6,4,8,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,
1,3,3,6,6,4,4,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
12,12,4,1,3,3,6,6,24,4,8,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,2,24,4,3,1,3,12,24,4,4,4,8,8,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,
1,1,1,1],[1,1,6,12,12,4,1,3,3,6,6,24,4,8,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,2,12,12,4,6,1,6,6,24,4,4,4,8,8,1,3,3,3,3,3,3,6,6,4,4,
4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,3,6,6,4,4,4,1,3,3,3,3,3,6,
3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,6,1,6,6,4,8,8,1,3,3,3,3,6,
3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,3,3,1,6,6,4,8,8,3,1,3,3,
3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,12,6,4,8,8,3,4,3,6,
3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,20,4,1,1,3,10,12,40,4,8,8,1,3,3,3,
10,8,3,3,3,6,8,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,2,24,4,1,6,12,24,
4,4,4,8,8,3,4,3,6,3,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,24,4,1,6,12,
12,12,16,12,4,8,8,3,3,4,8,6,6,3,6,24,1,4,4,4,1,3,3,6,6,1,2,4,2,3,1,1,1,1],[1,
1,6,12,4,1,9,3,6,4,4,4,3,1,3,6,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,18,12,4,1,3,9,6,4,12,12,12,4,8,8,1,3,3,3,6,3,6,6,12,12,1,4,4,4,1,3,3,3,3,3,
3,1,2,4,2,3,1,1,1,1],[1,1,2,24,4,1,3,3,12,24,4,4,4,8,8,1,3,3,6,6,6,6,4,4,4,8,
8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,14,7,28,8,7,8,8,1,1,1],[1,1,14,7,28,8,7,8,8,1,
1,1],[1,1,14,56,7,7,21,28,28,168,224,7,7,8,21,21,21,28,28,42,42,42,56,56,64,
84,84,84,84,112,1,7,7,7,7,8,14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,84,
84,84,84,84,168,168,7,7,21,21,21,28,28,42,42,42,56,84,84,84,84,7,7,21,28,1],[
1,1,2,8,4,1,6,4,6,6,12,2,3,6,4,4,6,6,6,6,8,12,12,12,1,2,2,3,3,4,4,6,6,6,6,12,
12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,2,8,24,4,1,6,4,12,12,24,32,3,6,4,4,6,6,6,8,
8,12,12,12,16,24,1,2,2,3,3,4,4,6,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,
14,8,24,1,7,3,4,28,12,12,24,24,24,32,7,8,3,3,4,6,6,6,8,8,8,12,12,12,12,12,12,
24,24,24,48,48,1,1,1,3,3,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,24,24,24,1,
3,3,4,6,6,6,6,6,6,12,12,12,1,3,3,4,4,1],[1,1,14,8,48,1,7,3,4,28,6,6,12,24,24,
24,24,96,7,8,3,3,4,6,6,6,8,12,12,12,12,12,12,24,24,24,24,24,24,24,24,48,48,48,
48,48,48,1,1,1,3,3,4,6,6,6,6,6,6,6,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
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],[1,1,14,8,1,7,3,
4,28,24,7,8,3,3,4,6,8,6,6,12,12,1,1,1,3,6,3,6,6,6,6,6,6,1,3,3,6,6,6,6,1,3,3,
1],[1,1,2,8,24,4,1,6,4,12,12,12,12,32,3,6,4,4,6,12,6,6,8,8,8,8,12,12,24,1,2,2,
4,4,6,3,3,6,6,6,6,6,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,6,8,3,3,5,4,4,6,6,12,8,
8,1,1,5,3,3,4,6,2,2,2,6,4,4,4,12,12,4,4,4,8,8,1,1,3,3,1,4,2,2,2,2,2,2,2,6,6,2,
2,4,4,4,4,4,4,4,12,3,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,6,8,8,16,
3,3,5,4,4,4,4,8,8,16,8,8,8,32,64,1,1,5,3,3,4,2,2,2,2,2,4,4,8,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,1,1,2,2,4,2,2,2,4,2,4,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,2,1,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,1,1,
1,2,2,1],[1,1,14,8,8,1,7,3,4,28,4,4,24,8,8,7,8,3,3,4,2,2,6,8,4,4,4,4,4,12,4,4,
8,8,16,16,1,1,1,1,1,2,2,2,6,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,1,3,7,4,4,6,6,12,4,4,8,8,1,3,5,
4,6,2,2,2,6,4,4,12,12,4,4,8,4,4,4,8,8,8,8,1,1,3,1,1,1,3,4,2,6,6,2,2,2,4,4,4,4,
4,4,4,4,4,12,4,4,1,1,3,1,1,1,1,4,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,16,1,
10,4,4,4,8,8,8,8,8,32,2,3,8,2,2,2,12,8,4,4,4,4,4,4,8,8,8,8,16,16,1,1,1,4,2,2,
4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,2,1,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,
1,6,8,8,32,1,3,7,4,4,2,2,4,4,4,8,8,16,16,16,64,1,3,5,4,2,2,2,2,2,4,4,4,4,4,8,
8,4,4,8,4,8,4,4,4,16,16,8,16,8,16,8,16,16,16,16,1,1,1,1,1,1,1,2,2,4,2,2,4,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,32,3,3,5,4,4,
2,2,4,8,8,16,16,16,64,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,8,8,8,4,16,8,16,16,8,16,
8,16,16,16,16,1,1,1,1,1,2,2,2,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,8,
8,8,8,8,8,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,6,
24,16,1,3,15,12,4,24,8,8,8,8,32,32,4,1,3,9,16,12,6,8,36,12,4,4,4,4,4,4,24,24,
8,8,8,8,16,16,1,3,3,12,4,4,2,12,2,2,2,2,2,2,6,6,2,8,4,24,12,12,4,4,4,4,24,4,4,
4,8,24,8,8,8,1,3,6,1,1,1,4,2,2,2,2,6,4,4,4,4,4,4,12,4,4,8,1,1,1,2,2,2,2,4,1],[
1,1,6,24,16,5,3,11,12,4,24,8,8,8,8,32,32,2,1,7,5,10,8,8,8,6,12,8,20,28,4,4,4,
4,16,16,8,8,8,8,8,16,16,2,1,1,1,2,4,4,4,8,4,2,4,8,2,2,2,2,2,6,2,8,8,4,12,4,4,
4,4,4,16,8,4,4,4,16,8,4,16,8,8,8,8,8,1,1,1,1,1,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,8,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,1,3,5,4,2,
2,2,2,2,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,
8,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,4,4,8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,6,8,24,16,3,3,5,4,
4,12,12,8,24,8,8,8,32,32,64,1,1,5,3,3,4,6,6,2,2,2,8,8,4,4,4,4,4,12,12,4,4,4,
12,12,8,8,8,8,8,24,8,8,24,24,8,16,16,16,16,1,1,3,3,1,2,6,2,2,2,2,2,2,6,2,2,8,
8,4,4,4,12,4,4,4,12,4,4,4,12,4,4,4,4,4,12,4,4,4,4,4,4,4,8,24,8,8,24,8,8,8,8,8,
8,24,8,8,8,16,16,1,3,1,4,2,2,2,2,2,6,2,2,2,2,6,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,4,1],[1,1,14,24,3,7,9,12,28,72,32,
1,7,8,9,9,3,4,12,6,18,6,8,24,12,12,4,4,36,12,16,8,1,1,3,1,3,2,3,3,2,6,18,6,2,
18,6,4,12,12,4,4,12,4,4,8,8,24,8,8,24,3,1,3,3,1,4,2,6,2,2,2,2,4,4,4,4,4,4,12,
8,1,1,1,2,2,2,2,4,1],[1,1,2,8,16,4,1,6,4,2,2,4,8,8,8,8,3,6,4,4,2,6,2,12,4,4,4,
4,4,4,8,8,8,8,8,1,1,1,4,4,2,2,6,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,24,1,10,4,12,12,24,32,2,3,8,6,6,2,8,8,12,4,4,
12,4,16,8,24,1,2,2,3,3,4,2,2,6,6,4,12,4,4,4,4,8,8,1,3,1,6,6,2,2,2,4,4,1,1,1,2,
2,1],[1,1,14,24,8,16,3,7,9,12,28,2,2,4,4,4,72,8,8,8,8,8,32,32,64,1,7,8,9,9,3,
4,12,2,2,2,6,18,6,2,8,24,12,12,4,4,4,4,4,4,4,4,36,4,4,12,16,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,1,1,3,1,3,2,1,1,3,1,1,3,2,6,2,
18,6,2,2,2,2,2,2,18,2,6,2,4,12,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,8,8,8,8,24,8,8,8,8,8,24,8,8,16,16,16,16,16,16,3,3,1,1,1,1,1,
1,3,1,1,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,8,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,1],[1,1,6,8,8,1,3,7,
4,4,2,2,4,4,4,8,8,16,1,3,5,4,2,2,2,2,2,4,4,4,4,4,8,4,4,4,8,4,4,4,8,8,8,1,1,1,
1,1,1,1,2,2,4,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,1,1,2,4,4,
4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,16,1,3,7,4,4,6,6,4,12,4,8,8,8,8,8,8,1,2,3,
5,4,2,2,6,6,2,6,8,4,4,4,4,4,4,4,4,4,4,8,4,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,16,16,1,1,2,2,3,3,1,1,1,6,6,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,1,1,1,3,1,1,
1,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,1,14,8,16,1,7,3,4,28,2,2,4,24,8,8,8,
32,7,8,3,3,4,2,6,2,8,4,4,4,4,4,4,4,12,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,2,6,2,
2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,
1,1,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,1,3,5,4,2,2,2,2,2,4,4,4,4,4,4,8,
8,4,4,4,8,8,8,8,1,1,1,1,1,1,1,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,
1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,1,3,5,4,2,2,2,2,
2,4,4,4,4,4,4,8,4,4,4,8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,
8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,1,3,5,
4,2,2,2,2,2,4,4,8,4,4,4,4,8,4,4,4,8,8,8,8,1,1,1,1,1,1,1,4,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,8,8,2,1,1,1,1,1,1,1,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,16,4,1,6,4,4,
4,8,8,8,8,8,32,3,6,4,4,2,2,6,12,4,4,4,4,8,8,8,8,8,16,16,1,1,1,4,4,2,2,2,2,2,6,
2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,24,16,
1,3,7,4,4,2,2,12,4,12,8,24,8,8,8,8,32,32,64,1,3,5,4,6,6,2,2,2,8,8,4,4,4,4,4,4,
4,4,8,12,4,4,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,16,16,16,16,16,16,16,16,16,
16,1,1,2,2,1,1,1,3,3,2,2,2,2,2,2,2,6,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,1,1,3,1,6,2,2,
2,2,2,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,1,2,8,16,1,10,4,2,2,4,8,8,8,8,2,3,8,2,2,2,
12,4,4,4,4,4,8,4,4,4,8,8,8,8,1,1,1,4,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,8,8,
1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,24,1,3,7,4,4,2,2,4,12,12,8,24,
32,1,3,5,4,2,6,6,2,2,8,8,4,4,4,4,12,12,8,12,12,4,8,24,8,24,8,24,1,1,1,3,1,3,1,
6,2,2,2,6,2,8,8,4,12,4,4,12,4,4,4,4,12,12,4,4,24,24,8,8,24,8,8,1,3,1,1,1,1,1,
4,2,6,2,2,6,12,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,6,24,8,1,3,15,12,4,
2,2,4,4,4,24,8,32,4,1,3,9,16,2,2,2,12,6,2,8,36,12,4,4,4,4,24,4,4,24,8,8,8,8,1,
3,1,1,3,1,1,12,4,4,2,12,2,2,6,2,6,8,24,12,4,12,4,4,4,4,4,4,24,4,4,8,8,24,8,8,
3,6,1,1,1,1,1,1,4,2,2,6,2,4,12,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,
1,10,4,6,6,12,2,2,3,8,6,6,2,6,8,12,4,4,12,4,8,1,2,2,3,3,4,6,2,6,2,4,4,4,4,4,
12,8,8,1,1,3,2,2,6,6,2,4,4,1,1,1,2,2,1],[1,1,6,24,8,5,3,11,12,4,2,2,4,4,4,24,
8,32,2,1,7,5,10,8,8,2,2,2,8,6,12,2,8,20,28,4,4,4,4,4,4,16,4,4,16,8,8,8,2,1,1,
1,1,1,1,1,2,4,4,4,8,2,2,4,4,8,2,2,2,2,2,6,8,4,8,4,4,12,4,4,4,4,4,4,16,4,8,4,4,
4,16,4,4,4,4,8,16,8,1,1,1,1,1,1,1,1,2,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,8,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,32,1,3,
5,4,2,2,2,2,2,4,4,4,4,4,4,8,4,4,4,8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,6,8,40,1,3,3,4,2,2,8,4,
8,4,20,20,20,64,1,3,3,4,2,2,4,4,4,2,8,8,10,4,4,4,16,4,4,4,16,4,4,16,4,16,4,4,
4,4,16,16,8,8,16,16,1,1,1,1,1,1,4,1,2,4,2,2,4,2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,4,
8,4,8,4,8,8,4,8,4,4,8,8,8,8,8,8,8,8,8,2,1,2,1,2,1,1,1,1,1,4,2,2,4,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,32,1,6,12,4,16,24,16,32,16,3,4,
6,6,4,8,8,4,14,2,16,4,8,4,4,24,8,32,1,2,2,3,3,6,6,2,12,4,2,4,4,4,4,4,8,8,3,6,
6,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,8,8,3,3,5,4,4,2,2,4,4,4,8,8,1,1,5,3,3,4,2,
2,2,2,2,2,2,4,4,6,4,4,4,4,6,4,4,4,8,4,1,1,1,1,1,1,1,3,2,2,2,2,3,2,2,2,2,6,4,4,
2,2,4,2,2,4,6,2,2,2,2,4,2,2,2,4,4,8,4,4,1,1,1,1,1,1,1,3,2,1,2,1,1,1,1,2,2,4,4,
2,2,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,
20,4,4,4,16,1,3,3,2,4,2,4,10,4,4,2,4,4,4,4,4,4,4,4,4,4,8,4,8,8,1,1,1,1,1,2,2,
1,1,4,4,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,4,2,2,2,
2,1,1,1,2,2,1],[1,1,6,8,3,3,5,4,4,2,2,4,8,8,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,
8,4,8,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,2,4,2,2,2,1,1,1,2,2,1],[1,1,2,24,16,1,6,12,12,24,8,32,16,3,4,6,6,8,8,2,4,2,
12,16,4,4,4,4,24,8,8,1,2,2,3,3,6,6,12,2,2,4,4,4,4,4,4,8,8,8,8,3,6,1,1,6,2,2,2,
4,4,1,1,1,2,2,1],[1,1,6,8,8,16,1,3,7,4,4,4,4,8,8,16,8,8,8,32,1,3,5,4,2,2,2,4,
4,2,8,4,4,4,4,4,2,8,4,4,4,8,8,8,8,8,4,16,16,1,1,1,1,1,1,2,4,2,1,4,2,4,2,2,2,2,
2,4,4,4,4,2,4,4,4,2,2,4,4,4,2,4,4,4,4,4,4,4,4,1,1,1,2,1,1,2,2,2,2,4,4,2,2,4,2,
2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,4,1,6,4,2,2,8,4,8,16,32,3,6,4,
4,2,6,2,4,12,2,4,4,6,2,6,4,8,4,4,8,4,4,8,8,8,8,8,1,1,1,4,4,6,2,2,2,4,2,4,6,4,
2,2,2,4,4,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,16,8,1,3,3,4,4,4,8,
16,20,4,4,4,16,16,1,3,3,2,4,2,4,10,4,4,2,4,4,8,4,8,4,8,4,8,8,8,8,8,8,1,1,1,1,
1,2,4,1,4,2,4,2,1,2,2,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,
4,2,2,2,1,1,1,2,2,1],[1,1,2,16,1,6,4,4,8,8,16,3,4,2,2,4,4,6,2,4,4,8,12,4,4,1,
1,1,2,4,4,4,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,16,1,6,2,2,4,8,16,3,4,2,
2,2,4,2,4,4,4,8,8,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,
16,1,6,2,2,4,8,16,3,4,2,2,2,4,10,4,4,4,8,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,2,1,
1,2,2,2,1,1,1,1],[1,1,6,8,8,32,3,3,5,4,4,2,2,4,4,4,8,8,16,16,16,64,64,1,1,5,3,
3,4,2,2,2,2,2,2,2,4,4,2,4,4,8,8,4,4,8,2,4,4,4,8,16,16,16,8,8,16,8,4,8,16,16,
16,16,16,16,16,16,1,1,1,1,1,1,1,1,2,2,2,2,4,1,2,4,2,2,2,4,2,4,4,4,4,2,4,2,4,4,
4,4,2,8,8,2,8,8,4,8,8,4,4,8,8,8,8,8,8,8,4,4,4,4,4,8,8,16,16,2,1,1,1,2,1,2,2,1,
1,2,2,1,2,1,1,2,2,4,2,2,2,4,4,2,2,2,2,2,4,2,4,2,2,2,4,8,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,14,8,8,32,1,7,3,4,28,4,4,8,4,4,24,8,8,16,16,16,32,64,32,32,7,8,1,3,3,
4,4,2,2,3,6,4,8,4,8,6,8,4,4,6,4,8,12,8,8,8,8,12,4,8,4,16,8,16,12,16,8,4,4,8,
16,8,8,4,4,8,12,4,4,8,16,4,4,8,4,4,16,32,8,8,8,16,8,16,8,16,8,8,8,1,1,1,1,1,1,
1,2,2,1,1,2,3,6,2,2,1,4,4,2,2,6,3,2,1,2,2,2,4,6,2,4,2,8,2,6,2,4,2,2,4,2,4,2,8,
2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,2,4,2,2,2,4,4,16,4,4,8,4,4,4,16,12,12,12,8,8,8,
24,8,16,8,8,8,8,8,8,8,8,8,8,8,16,24,1,1,1,2,1,2,1,3,1,1,2,1,1,1,4,1,2,1,1,2,2,
3,4,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,
2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,4,12,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,
1],[1,1,6,8,8,16,3,3,5,4,4,4,4,8,8,8,8,8,32,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,2,4,4,4,2,2,
4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,16,1,7,3,4,
28,2,2,4,24,8,8,8,32,7,8,3,3,4,2,6,2,8,4,4,4,4,4,12,8,8,8,8,8,4,8,8,8,4,16,8,
16,1,1,1,1,1,6,2,2,2,2,6,2,4,4,4,4,4,4,2,2,8,8,4,8,4,4,4,4,8,1,1,1,2,2,2,2,4,
2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,4,4,4,4,4,4,1,1,3,3,2,2,
3,4,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,8,4,1,1,1,1,2,1,2,2,1,1,2,2,2,2,4,2,2,2,4,2,
2,2,2,2,2,2,2,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,2,32,
1,6,2,2,4,8,8,8,16,16,3,4,2,2,2,4,4,4,4,4,2,4,8,8,12,4,8,8,8,8,1,1,1,2,2,2,2,
2,2,4,4,4,2,4,2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,
2,16,1,6,4,4,8,8,16,3,4,2,2,4,8,4,6,2,4,4,8,4,4,4,1,1,1,4,2,4,4,2,4,4,4,4,4,2,
1,1,1,2,2,2,1,1,1,1],[1,1,6,8,16,1,3,7,4,4,8,8,8,8,8,32,1,3,5,4,2,4,4,4,4,4,4,
4,4,8,4,8,8,8,8,8,16,16,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,2,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,8,1,3,3,4,2,2,16,12,24,4,
4,4,4,32,1,3,3,6,8,2,8,4,8,2,12,12,2,12,12,4,4,4,4,4,4,4,4,24,24,4,24,8,8,1,1,
3,3,1,2,6,1,1,6,8,8,2,2,2,12,2,12,2,2,2,2,2,12,12,2,2,24,4,24,4,4,4,24,4,8,8,
8,8,3,4,6,1,1,1,1,1,1,6,2,2,12,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[
1,1,2,8,8,1,10,4,4,4,8,16,2,3,8,2,2,2,12,4,4,4,4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,32,1,6,4,4,8,8,8,8,16,16,32,3,4,2,2,2,4,4,
4,2,4,8,4,8,12,8,4,4,8,16,8,16,1,1,1,2,2,2,2,2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,8,
8,8,8,1,1,2,1,2,2,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,16,1,10,4,2,2,4,8,8,8,8,
2,3,8,2,2,2,12,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,40,1,3,
3,4,4,4,4,4,4,20,20,20,64,1,1,3,3,2,2,3,4,4,2,4,2,8,2,8,10,4,4,4,4,4,16,4,4,
16,16,4,16,16,16,16,16,8,1,1,1,1,2,1,4,2,4,2,1,1,4,2,2,2,2,2,2,2,2,2,2,2,8,8,
2,2,8,8,4,4,4,8,8,8,4,8,8,8,8,8,2,1,2,1,2,1,1,1,1,1,4,4,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,8,16,1,3,7,4,4,4,4,8,8,8,8,8,32,1,3,5,4,
2,2,2,4,4,6,4,4,4,4,4,6,8,4,4,4,8,8,8,8,8,4,1,1,1,1,1,3,2,2,3,2,2,2,2,2,6,4,4,
4,4,2,4,2,6,4,4,4,2,4,4,8,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,3,2,2,2,2,2,2,2,2,
2,4,4,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,16,3,3,5,4,4,
4,4,8,4,4,8,8,16,8,8,8,1,1,1,5,3,3,4,4,2,2,3,2,2,2,4,4,4,4,4,2,4,8,4,2,4,4,4,
4,4,8,8,8,8,4,8,4,8,8,4,8,8,4,4,4,12,4,4,8,8,4,8,4,8,8,8,8,8,8,8,8,8,1,1,1,1,
1,1,1,2,2,2,3,1,2,2,2,1,4,2,2,2,1,2,4,2,1,2,3,2,2,8,2,2,4,2,2,2,4,4,2,2,4,4,2,
8,2,2,4,2,2,2,2,2,4,2,4,4,2,2,4,4,2,2,2,4,2,2,4,2,6,4,4,4,4,4,4,4,4,4,8,8,8,8,
8,1,1,1,2,2,2,1,2,3,2,1,3,1,2,1,1,1,1,4,1,1,1,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,1,1,1,
1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,6,8,16,1,3,7,4,4,8,8,8,8,8,32,1,3,5,4,
2,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,
10,4,4,4,8,8,8,8,8,32,2,3,8,2,2,2,12,4,4,4,4,4,4,8,8,8,8,8,16,16,1,1,1,4,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,8,4,1,6,4,2,2,4,3,6,4,4,2,6,2,12,4,4,8,8,1,1,1,4,4,6,2,4,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,6,2,2,8,4,3,4,2,2,4,4,8,2,6,4,4,4,8,8,1,
1,1,4,2,4,4,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,8,1,6,2,2,8,4,3,4,2,2,4,
4,2,6,4,4,12,8,8,1,1,1,2,4,4,4,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,
10,4,2,2,4,2,3,8,2,2,2,12,4,4,4,4,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
1,1,1,1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,4,4,4,4,1,3,3,4,2,2,4,4,4,2,2,4,4,4,4,4,
4,4,4,4,8,4,4,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,4,4,4,4,4,4,
4,4,1,1,2,1,1,1,1,1,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,
4,4,4,4,16,1,3,3,2,4,2,4,4,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,1,1,1,1,1,2,
2,2,1,1,2,2,2,4,4,2,2,4,2,4,2,2,2,2,2,4,2,4,2,4,8,4,4,4,4,1,2,1,1,1,1,1,1,2,2,
2,4,4,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,6,8,3,3,5,4,4,2,2,4,8,8,1,1,5,3,3,4,2,2,
2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,8,1,3,3,4,2,2,8,
4,8,4,4,4,4,1,3,3,2,4,2,4,2,4,4,2,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,1,1,1,1,1,2,2,
1,1,2,2,2,2,4,2,4,4,2,2,2,2,4,2,2,2,4,4,4,4,4,4,1,2,1,1,2,1,1,2,1,1,2,2,2,2,2,
2,2,1,1,1,2,2,1],[1,1,2,8,16,16,4,1,6,4,4,4,8,8,8,16,16,32,3,6,4,4,2,2,6,4,12,
6,4,4,2,6,2,4,8,4,4,8,8,4,4,8,8,8,8,1,1,1,4,4,2,6,4,2,2,4,4,4,2,2,6,2,2,4,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,24,8,5,3,11,12,4,2,2,4,24,4,4,4,4,
32,2,1,7,5,10,8,8,2,8,6,12,2,8,20,28,2,2,4,16,4,16,4,4,4,4,4,4,4,4,4,4,8,2,1,
1,1,1,1,2,4,4,4,8,4,4,8,1,2,1,2,6,8,2,8,4,2,12,2,2,2,2,2,2,2,2,16,2,8,4,4,16,
4,8,4,16,4,4,4,4,4,4,4,8,4,4,1,1,1,1,2,1,4,2,2,1,1,1,1,1,2,1,2,2,2,2,4,2,2,2,
4,2,2,2,2,8,2,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,16,1,6,4,4,8,8,16,
16,3,4,2,2,2,4,2,4,4,4,8,8,8,8,1,1,1,4,4,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,6,8,32,1,3,7,4,4,2,2,4,8,8,16,16,16,64,1,3,5,4,2,2,2,4,4,2,4,4,4,8,8,
8,2,8,4,16,16,16,16,4,16,16,16,16,16,16,1,1,1,1,1,1,2,4,1,2,2,4,2,2,2,2,4,2,4,
4,4,2,4,4,2,2,8,4,8,2,8,8,8,8,8,4,4,4,8,4,1,2,1,1,2,1,1,2,2,2,4,4,2,2,2,4,2,4,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,4,1,6,4,2,2,4,4,4,8,4,4,4,4,3,6,4,4,
2,2,2,6,2,12,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,4,4,2,6,1,2,1,2,2,2,2,2,
4,2,2,2,2,4,4,4,2,4,2,4,4,4,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,6,24,8,8,1,3,15,12,4,4,4,24,8,4,4,4,4,32,32,4,1,3,9,16,2,2,12,6,8,
36,12,2,2,4,24,4,24,4,4,4,4,8,8,8,8,8,8,8,1,3,3,1,1,12,4,4,12,1,2,1,6,6,8,24,
2,12,2,2,12,2,2,2,2,2,4,2,2,24,2,4,4,4,4,4,4,4,4,4,24,4,4,4,3,6,1,1,4,1,1,1,1,
6,1,2,1,2,2,2,2,12,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,
8,16,32,3,3,5,4,4,2,2,4,8,8,8,16,8,16,16,16,16,32,32,48,64,1,1,5,3,3,4,2,4,4,
2,2,2,2,4,4,4,4,4,4,8,4,8,8,8,8,4,4,4,8,8,8,8,4,4,16,8,4,4,4,8,4,4,12,4,8,8,4,
4,4,8,8,16,8,8,4,16,12,8,16,8,8,8,16,16,8,16,16,24,16,8,16,8,24,1,1,1,1,1,1,1,
2,1,1,2,4,2,3,1,2,2,2,3,2,2,2,2,2,2,2,2,1,4,4,2,8,4,4,2,4,8,2,4,4,2,2,4,2,4,2,
2,2,2,2,2,2,4,2,8,8,2,6,2,4,4,2,4,2,2,4,2,4,4,2,2,8,8,12,12,12,8,8,8,8,12,16,
8,8,8,8,16,8,8,8,8,8,8,24,16,24,8,8,1,1,1,1,4,1,2,1,2,1,1,1,1,2,2,2,2,3,1,1,1,
3,4,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,6,2,4,2,2,4,4,2,2,8,12,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1],[1,1,6,8,8,32,1,3,7,4,4,2,2,4,4,4,8,8,16,16,16,16,32,32,32,32,1,3,5,4,2,2,
2,2,2,4,4,4,8,4,4,4,8,8,4,4,4,8,8,8,8,8,4,4,4,4,4,8,8,4,4,8,4,4,4,8,4,4,8,16,
8,4,4,8,4,8,4,8,8,8,16,8,16,24,8,16,8,8,8,16,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,4,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,2,2,6,4,2,4,2,2,2,2,6,2,8,8,2,2,4,2,2,2,
2,2,2,4,4,4,4,4,2,4,2,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,
1,4,1,2,1,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,1],[1,1,14,8,16,16,1,7,3,4,28,2,2,4,8,8,24,16,16,8,8,8,16,32,16,32,7,
8,3,3,4,2,4,4,6,2,8,4,4,4,4,8,4,4,4,12,4,4,8,8,4,4,4,8,8,4,8,8,4,8,4,4,8,8,4,
4,4,16,8,4,4,4,8,4,16,32,16,16,8,8,8,8,8,8,8,8,16,1,1,1,1,1,1,1,2,3,1,2,2,2,1,
3,2,6,1,2,2,2,2,4,6,4,2,1,2,8,2,2,4,4,4,2,2,2,2,2,2,4,4,2,8,4,4,4,2,2,2,6,2,2,
2,4,4,2,2,2,2,4,4,2,2,8,8,8,8,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,2,2,1,3,
2,3,2,1,1,2,4,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,6,2,2,2,4,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,1],[1,1,6,32,8,1,3,3,4,4,12,16,32,4,4,4,4,32,16,16,16,1,3,3,2,8,6,8,
4,8,2,12,12,2,12,12,8,4,24,4,24,24,8,4,8,8,8,8,8,8,32,32,1,1,3,3,1,6,1,2,6,1,
8,8,2,2,2,12,12,2,2,2,2,2,2,12,2,12,2,24,24,4,4,4,4,4,24,8,8,8,8,3,4,1,1,6,1,
1,1,1,6,2,2,2,2,12,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,6,24,8,16,5,
3,11,12,4,4,4,24,8,8,8,8,32,32,64,2,1,7,5,10,8,8,2,2,8,6,12,8,20,28,2,4,4,4,4,
4,2,16,4,4,16,8,8,8,8,8,8,8,8,4,8,16,16,16,16,2,1,1,1,1,1,2,4,4,4,8,1,2,4,4,8,
2,1,2,2,2,6,2,8,2,8,4,4,4,4,12,2,4,2,4,2,2,4,4,16,4,2,8,2,2,4,2,4,16,2,2,2,8,
2,8,4,4,8,16,4,4,4,8,8,8,4,8,4,4,4,4,8,4,4,4,4,4,8,4,16,16,1,1,1,1,1,2,4,1,2,
2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,4,2,4,2,2,2,4,4,2,2,2,2,4,2,2,8,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,
1,2,8,8,4,1,6,4,4,4,8,16,3,6,4,4,2,2,6,12,4,4,4,4,8,1,1,1,4,4,2,6,4,4,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,1,6,16,8,1,3,3,4,4,4,8,16,4,4,4,4,16,16,16,1,3,3,2,4,
2,4,2,4,4,2,4,4,8,4,8,4,8,8,4,8,8,8,8,8,8,1,1,1,1,1,2,1,2,2,1,2,2,2,4,4,4,2,2,
2,2,4,2,2,2,2,4,4,4,4,4,4,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
6,8,8,16,3,3,5,4,4,4,4,8,8,8,8,8,32,16,64,1,1,5,3,3,4,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,16,16,8,16,8,16,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,8,8,4,4,4,8,8,8,8,4,4,4,8,16,16,1,1,1,2,2,2,2,2,4,2,4,2,2,4,2,2,4,
8,4,8,1,1,1,2,2,1],[1,1,2,16,16,1,6,4,4,8,8,8,8,8,8,16,16,32,3,4,2,2,4,4,4,4,
6,2,8,8,8,8,4,8,4,4,16,16,8,32,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,2,4,4,4,4,4,8,
8,1,2,2,1,2,1,4,4,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,16,16,1,10,4,4,4,8,8,8,16,
16,32,2,3,8,2,2,2,4,12,2,4,4,6,4,6,2,4,8,4,4,4,8,4,4,8,8,8,8,8,1,1,1,4,2,2,4,
2,4,2,4,4,2,4,2,2,4,4,6,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,
1,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,16,
1,6,6,6,12,8,16,2,3,4,6,6,6,8,2,4,2,12,4,4,8,8,8,1,2,2,3,3,6,6,2,2,12,4,4,4,4,
4,4,8,8,3,1,6,1,6,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,4,4,4,4,4,4,1,1,
3,3,2,2,3,4,4,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,2,1,2,2,2,1,1,2,4,2,2,
2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,2,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[
1,1,6,8,1,3,3,4,8,8,12,4,4,4,4,4,1,1,3,3,6,2,3,8,12,2,12,2,2,2,4,4,4,4,4,4,4,
4,4,4,1,1,3,3,4,2,1,6,6,1,1,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,4,4,4,3,4,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,8,8,1,10,4,2,2,4,4,4,8,4,4,
4,4,2,3,8,2,2,2,2,2,12,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,4,2,1,4,1,4,
2,2,2,2,2,4,2,2,2,2,4,4,2,4,2,4,4,4,4,4,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,6,8,8,1,3,3,4,6,6,16,4,8,4,4,4,4,1,3,3,8,2,6,4,12,12,2,2,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,3,3,4,1,1,1,6,6,2,2,2,2,2,2,2,2,2,2,12,2,2,4,
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],[1,1,6,8,16,3,
3,5,4,4,8,8,8,8,8,32,1,1,5,3,3,4,2,2,2,4,4,2,4,4,4,4,2,4,8,8,8,8,12,1,1,1,1,2,
2,2,2,2,1,2,2,2,2,2,2,6,6,4,2,4,4,6,4,4,4,4,4,4,4,4,1,1,1,3,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,8,1,3,3,4,2,2,8,4,8,4,4,4,4,1,3,3,4,
2,2,4,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,1,2,1,2,2,2,4,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,1,1,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,2,8,8,16,1,10,4,2,2,8,4,8,16,32,2,3,8,2,2,2,4,12,6,4,4,2,4,2,6,4,8,
4,4,4,4,4,8,8,8,8,8,8,1,1,1,4,2,2,4,4,2,4,6,4,2,4,2,4,2,4,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,16,8,1,3,3,4,4,4,8,16,4,4,4,4,16,16,1,3,3,2,4,
2,4,4,2,4,4,2,4,4,4,8,4,8,4,8,4,8,8,8,8,8,8,1,1,1,1,1,2,2,1,2,2,2,1,4,2,4,2,2,
4,4,2,2,2,2,2,2,2,4,2,4,4,8,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,4,4,2,4,2,4,4,1,
1,1,2,2,1],[1,1,14,24,8,3,7,9,12,28,4,4,72,8,8,32,1,7,8,9,9,3,4,12,2,2,6,18,6,
8,24,12,12,2,4,4,4,2,36,4,4,12,16,8,4,16,16,1,1,3,1,3,2,1,3,1,3,1,2,6,2,18,6,
1,2,2,18,2,6,2,12,4,4,12,2,2,4,4,4,4,2,2,12,2,2,2,2,2,2,2,2,24,4,4,24,4,4,3,3,
1,1,3,4,1,2,2,6,1,1,1,1,2,2,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,12,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,6,8,8,3,3,5,4,4,2,2,4,4,4,8,8,16,1,1,5,3,3,4,2,2,2,2,2,2,2,
4,4,2,4,4,8,4,4,2,4,4,4,8,8,8,4,1,1,1,1,1,1,1,1,2,2,4,2,2,1,4,2,2,4,2,2,4,2,4,
2,2,4,4,4,4,2,2,4,2,2,2,2,2,2,2,2,1,1,2,1,1,2,2,1,1,1,1,2,2,1,2,4,4,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,14,8,8,1,7,3,4,28,4,4,24,8,8,16,7,8,3,3,4,2,2,6,8,4,
4,4,12,4,4,8,16,16,8,8,1,1,1,1,1,2,2,6,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,
2,2,2,2,2,2,4,2,2,2,2,1,1,1,2,2,1],[1,1,14,8,8,16,1,7,3,4,28,2,2,4,4,4,24,8,8,
8,8,8,32,7,8,3,3,4,2,2,2,6,2,8,2,4,4,4,4,4,4,4,4,2,12,4,4,8,8,8,8,8,8,8,8,8,4,
16,16,16,16,1,1,1,1,1,1,1,1,2,2,6,2,1,2,2,2,2,2,6,2,2,2,4,4,4,2,4,4,4,4,4,2,4,
2,4,4,4,2,4,8,8,4,8,4,4,8,1,1,1,1,1,2,2,2,1,1,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,1,3,5,4,2,2,2,2,2,4,4,4,
4,4,4,8,4,4,4,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,8,4,8,8,4,4,4,4,1,1,1,4,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,6,4,4,8,8,16,16,3,4,
2,2,10,4,2,4,4,4,8,8,8,1,1,1,4,4,2,2,4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,
6,8,8,1,3,7,4,4,2,2,4,8,4,4,4,4,1,3,5,4,2,2,2,4,4,4,2,2,8,4,4,4,4,4,4,4,4,4,4,
4,12,8,1,1,1,1,1,2,1,1,2,2,2,4,2,4,2,4,2,2,2,2,2,2,6,2,4,4,4,4,4,4,1,1,1,2,2,
1,1,1,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,24,1,10,4,12,12,12,12,32,2,
3,8,2,12,4,6,6,4,4,4,8,8,8,8,12,4,24,1,2,2,4,2,2,3,2,3,4,6,6,6,6,2,4,4,4,4,4,
4,4,1,1,1,3,1,2,2,2,6,6,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,10,4,2,2,4,4,4,
8,4,4,4,4,2,3,8,2,2,2,2,2,12,8,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,4,4,2,
1,1,4,2,2,4,2,2,2,4,4,2,2,2,2,4,2,4,2,4,4,4,4,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,10,4,2,2,4,4,4,8,4,4,4,4,2,3,8,2,2,2,2,2,
12,2,2,4,4,4,4,4,4,4,4,4,4,4,12,8,1,1,1,1,1,4,2,1,1,4,2,2,2,2,2,4,6,2,2,2,4,2,
4,2,4,4,4,4,4,4,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,
5,3,11,12,4,2,2,4,24,8,32,2,1,7,5,10,8,8,2,8,6,12,2,8,20,28,2,4,4,4,2,16,16,8,
8,4,2,1,1,1,1,1,2,4,4,4,8,1,4,2,4,8,1,2,2,2,2,2,6,8,4,2,8,4,12,2,4,4,4,2,16,2,
8,16,8,2,4,4,16,4,4,8,1,1,1,1,1,2,4,2,1,2,2,1,1,2,2,1,1,1,2,2,4,2,4,2,2,4,2,2,
2,8,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,1,6,6,6,16,4,2,3,4,6,6,6,8,4,4,
2,14,4,4,4,8,8,1,2,2,3,3,6,6,2,4,12,2,4,4,4,4,4,8,8,3,1,6,1,6,2,2,2,4,4,1,1,1,
2,2,1],[1,1,6,24,8,1,3,15,12,4,2,2,4,24,4,4,4,4,32,4,1,3,9,16,2,12,6,2,8,36,
12,4,2,2,24,4,24,4,4,4,4,4,4,4,4,4,4,8,1,3,1,1,3,12,4,4,2,12,1,1,6,6,8,2,24,
12,2,12,4,2,2,2,2,2,2,2,4,2,2,24,4,4,4,4,4,4,4,24,4,4,4,4,1,3,6,1,4,2,2,1,1,1,
1,1,6,1,2,2,2,2,12,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,
8,8,1,3,7,4,4,4,4,8,8,4,4,4,4,32,1,3,5,4,2,2,2,4,4,2,2,4,8,4,4,4,4,12,4,8,8,8,
8,8,8,8,1,1,1,1,1,1,2,1,2,2,4,2,2,2,4,4,2,2,2,2,2,4,6,2,2,4,4,4,4,4,1,1,1,1,1,
1,2,2,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,7,4,4,2,2,4,8,8,1,3,5,4,
2,2,2,4,4,6,4,4,4,6,8,4,4,1,1,1,1,1,3,2,3,2,2,2,2,2,2,6,4,4,2,2,6,2,1,1,1,1,1,
2,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,8,8,5,3,11,12,4,4,4,24,8,4,4,
4,4,32,32,2,1,7,5,10,8,8,2,2,8,6,12,8,20,28,4,2,2,16,4,16,4,4,4,4,8,8,8,8,8,8,
8,2,1,1,1,1,1,2,4,4,4,8,2,4,4,8,1,1,2,6,8,8,2,4,2,2,12,2,2,2,2,2,4,2,16,2,8,2,
4,16,4,8,4,4,16,4,4,4,4,4,8,4,4,4,1,1,1,1,2,1,4,1,2,1,1,2,1,1,1,2,2,2,2,4,2,2,
2,4,2,2,2,8,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,24,16,3,7,9,12,
28,2,2,4,72,8,8,8,32,32,1,7,8,9,9,3,4,12,2,6,18,6,2,8,24,12,12,2,4,4,4,4,4,2,
36,12,16,8,8,8,8,8,8,8,8,4,16,16,1,1,3,1,3,2,1,3,1,3,1,6,18,6,2,1,2,2,2,18,6,
2,2,12,4,12,2,4,2,12,4,2,4,4,4,2,8,8,24,8,4,4,4,4,24,4,4,8,4,4,3,3,1,1,3,4,2,
1,6,1,1,2,2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,12,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,8,16,1,6,2,2,8,4,8,8,8,8,3,4,2,2,4,4,4,4,4,4,2,6,8,8,8,4,4,8,4,8,8,
1,1,1,2,2,2,2,2,2,4,2,4,4,4,4,4,2,4,4,4,4,4,8,8,1,1,2,1,2,2,2,2,4,4,2,4,4,1,1,
1,2,2,1],[1,1,6,8,8,8,1,3,7,4,4,4,4,8,8,4,4,4,4,32,1,3,5,4,2,2,2,4,4,8,2,2,4,
8,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,1,1,4,1,2,1,2,2,4,4,2,2,2,4,2,2,2,2,2,4,2,2,
4,2,4,4,4,4,2,1,1,1,1,2,1,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,1,
3,7,4,4,2,2,4,8,4,4,4,4,1,3,5,4,2,2,2,4,4,4,2,2,8,8,4,4,4,4,4,4,4,4,4,4,4,4,8,
1,1,1,1,1,2,1,4,1,2,2,2,4,4,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,1,1,
1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,16,24,1,3,3,8,4,4,4,4,4,8,32,
16,12,12,12,12,16,16,16,16,32,80,1,1,1,1,2,2,4,2,3,2,8,2,4,4,8,4,2,2,2,4,2,6,
2,4,2,2,2,6,6,4,4,8,4,4,8,4,4,8,6,2,10,10,6,8,4,6,6,8,10,10,10,4,10,10,4,12,4,
4,10,2,4,4,12,6,4,8,6,20,12,4,16,20,16,12,20,16,20,12,12,16,12,1,1,1,1,1,1,1,
1,1,1,2,2,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,1,2,1,1,3,3,2,3,5,2,1,1,3,3,3,
4,5,2,5,1,1,3,3,3,2,2,2,3,3,2,2,6,3,1,5,5,1,3,4,4,4,5,2,3,4,4,4,4,8,4,8,4,8,8,
4,4,4,4,4,4,4,12,12,16,12,12,4,4,8,12,16,12,12,12,8,4,16,16,12,4,12,8,4,8,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,2,1,2,1,1,1,3,3,3,
2,3,1,2,1,3,1,1,1,2,1,1,1,4,1,1,2,2,2,2,1,2,2,1,1,2,1,1,1,1,1,2,1,1,1,1,3,1,3,
3,4,2,2,4,1,2,1,2,2,2,1,1,1,1,1,1,2,3,1,1,2,1,1,1,4,4,4,8,12,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,20,8,3,4,4,2,2,6,10,
24,20,16,4,4,4,8,16,8,32,1,5,3,6,2,2,8,4,2,8,2,8,4,4,4,4,4,4,4,4,4,12,4,6,4,6,
24,8,8,8,8,4,8,4,8,16,1,1,1,1,1,3,3,2,2,2,2,6,6,2,2,2,2,2,2,2,2,6,2,6,2,8,8,4,
4,8,4,8,4,1,3,1,1,2,1,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,24,8,1,
2,4,2,2,4,4,12,8,16,4,4,4,4,16,16,16,16,32,1,2,4,2,2,4,4,2,4,2,6,2,4,8,4,4,4,
4,4,4,4,8,4,8,8,4,4,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,4,4,
2,2,2,2,2,2,4,4,4,4,4,8,8,8,8,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,14,40,7,28,5,5,10,20,20,20,32,80,7,8,1,5,3,5,4,10,6,10,6,10,
8,8,8,12,20,20,12,20,20,2,12,20,2,12,12,40,12,12,4,1,1,1,2,1,3,5,5,3,6,10,6,
10,6,3,1,1,20,6,6,2,20,12,2,12,6,6,2,6,12,2,2,6,4,4,24,4,4,4,4,4,24,4,1,3,5,3,
2,4,3,6,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,12,2,2,6,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,6,8,12,8,3,4,4,4,10,6,24,12,16,4,4,4,8,8,16,1,2,3,5,6,2,8,4,2,8,2,4,8,
12,6,6,24,8,8,8,4,4,8,16,1,1,2,1,1,3,3,1,2,2,2,2,6,2,6,2,2,2,2,2,2,6,2,6,2,4,
4,4,4,1,3,1,1,2,1,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,3,1,3,3,3,
6,12,8,16,1,1,3,3,3,3,3,4,6,4,8,2,12,4,4,4,2,4,4,4,4,4,1,1,1,2,3,3,3,3,6,2,6,
2,6,2,4,2,2,2,4,4,4,4,4,4,4,3,3,3,1,2,1,1,6,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
2,8,20,16,1,1,1,4,2,2,6,10,8,12,4,8,8,8,8,16,8,16,32,1,3,1,2,2,2,2,2,4,2,2,4,
2,2,4,2,2,6,4,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,6,6,4,8,8,8,8,8,8,4,8,4,8,8,8,16,
16,1,1,1,1,1,1,2,1,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,2,1,2,2,2,2,1,2,4,2,2,2,
2,2,2,2,2,4,4,4,2,2,2,2,2,2,8,8,8,8,4,4,4,4,1,1,1,2,2,1,2,2,2,2,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,14,20,7,28,10,10,20,20,8,16,8,7,
8,5,5,2,4,4,2,10,8,8,20,6,6,40,4,4,16,1,1,1,2,3,3,5,5,10,10,6,6,2,6,2,4,4,4,4,
1,3,3,5,1,6,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,24,1,1,1,4,1,1,6,4,8,8,4,4,
12,16,1,3,2,2,2,2,1,4,2,4,4,2,2,4,4,2,4,4,4,4,4,4,2,4,4,8,4,4,4,8,1,1,1,1,2,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,
1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,32,3,4,4,5,5,6,4,24,8,4,16,16,
16,48,32,32,1,1,3,2,3,6,5,8,6,2,6,2,2,8,4,4,4,4,4,4,12,4,4,8,4,4,4,12,12,2,12,
4,4,4,12,4,2,4,12,12,8,8,8,8,12,16,8,12,4,24,8,1,1,1,1,2,1,3,3,1,2,2,2,2,2,2,
2,2,2,2,6,6,2,2,3,2,1,1,4,6,4,6,4,12,4,4,2,4,4,2,6,6,2,6,2,2,12,6,4,8,4,4,8,8,
8,8,8,8,4,4,4,8,8,4,8,4,1,3,1,1,2,2,2,3,2,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,4,4,2,4,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,16,8,1,6,8,2,2,4,8,8,16,
16,1,2,2,4,2,2,4,8,4,4,10,8,8,4,8,8,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,6,32,8,8,3,3,9,16,4,2,2,4,48,8,4,4,4,4,80,32,1,1,3,3,3,4,6,2,12,
12,12,2,20,8,16,18,18,2,2,2,2,18,4,24,24,4,4,4,4,4,8,4,4,8,4,4,4,8,8,8,8,8,8,
8,1,2,3,1,3,1,3,1,3,3,1,1,3,3,3,1,1,1,3,3,6,2,6,2,15,2,6,2,2,2,2,2,4,6,2,2,9,
2,2,9,2,2,2,15,2,2,4,24,2,2,4,2,4,2,2,2,24,2,4,2,2,2,8,8,8,8,1,1,1,1,3,1,3,1,
1,1,1,1,1,3,1,1,6,2,1,1,2,2,3,1,1,1,2,6,2,2,1,1,1,1,3,1,1,1,3,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,16,8,24,1,3,3,8,4,2,2,8,8,4,32,8,12,
12,12,12,16,16,16,16,48,1,1,1,2,4,2,4,2,8,2,2,4,8,4,4,2,2,2,2,2,6,2,2,2,2,2,6,
6,4,4,8,4,4,4,4,4,6,6,2,2,2,4,4,6,2,4,2,6,2,4,6,6,8,4,4,8,6,6,4,4,4,2,8,4,2,
12,4,12,8,12,16,12,12,8,12,20,20,16,12,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,3,3,3,5,3,4,3,4,3,3,3,5,3,1,2,2,6,3,
5,2,2,3,5,3,3,5,5,2,4,2,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,
8,8,4,4,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,2,1,1,1,
1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,1,2,2,2,3,2,2,3,3,2,1,1,3,3,1,4,
1,1,1,3,1,3,1,1,2,2,2,2,3,4,2,1,2,2,1,1,1,1,1,1,2,1,1,2,1,2,1,1,1,4,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,24,1,1,1,4,3,
3,2,4,8,8,8,4,4,12,16,1,1,1,2,3,2,2,2,3,4,4,2,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,
4,4,2,4,4,4,4,8,4,4,4,8,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1,2,2,1,2,2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,16,8,16,2,1,4,8,4,8,4,8,8,16,16,32,1,1,1,2,2,2,2,2,4,4,4,2,6,4,4,4,
4,2,2,6,8,4,4,4,4,4,4,4,4,8,4,8,8,8,8,1,1,1,2,1,1,1,1,2,2,2,3,4,3,2,2,2,3,3,4,
1,2,2,1,2,1,1,2,2,2,2,2,6,4,4,4,2,4,2,2,4,2,2,4,2,2,4,4,2,4,2,6,2,2,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,2,4,2,2,4,12,4,8,4,
4,4,4,1,2,4,2,2,4,4,2,4,2,2,6,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,1,1,1,2,1,1,2,2,
2,2,2,2,2,4,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,14,12,16,7,28,2,2,4,6,6,12,12,8,8,8,8,32,8,16,7,8,2,3,
3,2,2,2,4,4,6,4,4,4,8,4,8,8,4,4,8,12,8,6,4,6,24,16,8,8,4,4,16,1,1,1,1,2,2,3,3,
1,6,2,4,2,2,6,4,2,2,2,6,2,8,6,8,2,8,4,4,4,8,4,1,2,3,1,1,2,2,1,2,3,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,20,24,3,1,3,10,10,12,12,12,12,8,16,32,8,48,1,3,3,3,
3,2,4,4,2,2,6,6,6,10,6,2,2,2,8,8,8,8,12,12,12,4,12,6,12,6,12,24,4,4,24,16,16,
1,1,1,2,3,3,3,3,2,2,2,1,6,6,2,2,6,6,6,1,2,1,2,1,2,2,2,2,2,2,2,2,2,12,12,12,12,
2,2,2,2,2,2,12,24,4,4,4,4,4,4,4,24,4,3,3,3,4,1,1,1,1,6,1,1,1,2,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,12,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,32,3,1,3,1,1,2,
4,4,8,4,8,8,16,16,1,3,3,1,2,2,1,2,2,8,2,4,4,4,4,8,4,4,2,4,4,8,4,8,4,2,4,8,4,4,
8,8,4,4,4,1,1,2,1,1,1,1,1,2,2,4,2,2,4,2,2,2,2,4,4,2,2,2,2,4,2,2,2,4,8,4,4,4,4,
4,4,2,1,1,1,2,2,1,2,2,1,2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,8,24,7,28,
3,3,6,4,4,8,8,12,12,12,48,7,8,3,2,2,3,6,6,4,6,4,12,12,12,4,12,2,4,8,12,2,4,12,
12,16,24,8,12,12,4,8,1,1,1,1,1,3,3,2,2,1,4,2,6,4,2,6,2,2,2,3,2,1,1,4,12,6,4,6,
2,12,2,6,6,2,6,2,2,6,4,4,4,4,1,1,1,3,2,2,2,2,2,3,2,1,2,1,2,2,2,2,2,2,2,2,2,6,
2,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,24,1,2,4,8,4,4,8,8,4,4,4,12,16,32,1,4,2,2,2,4,
2,2,4,2,2,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,6,8,32,3,4,4,3,3,10,4,24,4,16,16,16,48,1,5,2,6,3,8,4,6,6,2,
8,4,12,4,12,12,2,12,4,12,8,2,12,12,8,8,8,12,12,4,24,8,1,1,1,1,2,1,3,3,1,2,2,2,
2,2,2,2,2,2,2,6,2,6,3,1,1,6,6,12,2,2,4,6,6,2,6,4,2,2,12,6,4,4,4,4,1,3,1,1,2,2,
3,2,2,2,2,1,1,2,2,2,2,2,6,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,8,4,4,
8,16,1,2,2,2,4,2,4,8,4,4,10,4,4,4,8,1,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,2,8,8,24,1,2,4,4,4,4,4,8,8,4,4,4,12,16,1,1,2,2,3,2,4,2,2,2,2,4,2,
2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,16,16,16,2,1,4,8,2,2,4,8,8,8,8,16,16,16,32,1,1,1,2,2,2,2,
4,2,4,4,2,6,4,4,4,4,2,6,2,8,4,8,4,4,4,4,8,4,8,4,4,4,8,8,8,8,1,1,1,2,1,1,1,1,2,
2,2,1,1,2,2,4,4,2,1,1,3,2,2,3,2,3,3,2,2,4,2,2,2,2,4,6,4,2,2,4,4,2,2,4,2,2,4,4,
2,4,2,2,6,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,8,
3,1,3,2,2,4,6,6,4,8,4,4,4,8,8,1,3,3,2,1,1,2,2,2,2,4,2,2,2,6,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,6,6,4,4,4,1,1,1,1,1,2,2,1,1,2,2,4,2,1,2,2,2,2,2,4,2,2,2,2,2,1,2,2,1,
2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,1,1,1,2,2,2,1,1,1,1,2,1,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,12,16,1,1,1,4,4,10,6,8,4,4,8,8,8,8,8,
32,1,2,1,3,2,2,2,2,4,2,2,2,2,2,2,6,4,2,2,2,4,8,4,4,6,4,6,8,8,8,8,4,8,4,8,8,8,
1,1,1,1,1,2,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,1,2,1,2,4,2,2,2,2,2,
2,2,2,4,4,4,2,2,2,2,2,2,4,4,4,4,1,1,1,2,1,2,2,2,2,2,1,1,2,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,32,8,3,3,9,16,4,4,4,48,4,4,4,4,80,1,1,3,3,
3,4,6,2,2,12,12,12,20,8,16,18,18,2,2,2,2,18,4,24,24,4,4,4,4,8,8,8,8,8,1,2,3,1,
3,1,3,1,3,3,1,1,3,3,3,1,1,1,3,3,6,6,15,2,2,6,2,2,2,2,2,2,4,2,2,2,6,9,2,2,2,2,
9,15,2,2,24,2,2,4,4,2,4,2,2,2,24,2,2,4,2,2,1,1,1,3,1,3,1,1,1,1,1,1,3,1,1,1,6,
2,1,1,3,1,2,1,1,2,2,2,6,1,1,1,1,3,1,1,1,2,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,
1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,1,14,24,16,7,28,3,3,6,12,12,12,48,16,32,7,8,
3,3,6,6,6,12,12,12,12,12,12,12,24,12,12,4,16,1,1,3,3,6,6,3,12,6,6,12,6,6,6,6,
4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,36,16,3,4,6,18,36,12,8,48,24,16,32,1,9,3,2,
12,2,6,24,12,6,6,24,12,48,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,16,1,3,3,6,6,4,
8,3,1,1],[1,1,6,12,24,16,3,6,6,4,12,12,24,12,8,16,32,1,1,3,1,6,3,3,2,6,6,6,12,
12,3,6,24,24,4,8,16,3,3,3,3,3,3,6,6,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,1,6,24,16,1,3,15,12,4,24,32,16,4,1,3,9,16,12,6,8,36,12,24,24,4,8,16,
1,3,3,12,4,4,12,6,6,8,24,12,12,24,24,4,4,4,8,3,6,4,6,12,4,4,4,8,1,1,1],[1,1,6,
12,16,3,6,6,4,12,12,12,8,16,1,1,3,1,6,3,3,2,6,6,6,12,12,3,6,4,8,16,3,3,3,3,3,
3,6,6,6,6,3,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,14,12,16,7,28,6,6,
12,12,8,16,32,7,8,3,3,2,2,6,12,6,6,24,4,8,16,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,1,
1,1],[1,1,6,16,1,3,3,4,6,6,12,16,1,3,3,6,6,12,12,4,16,1,3,3,4,6,6,12,4,3,4,1,
4,1,1,1],[1,1,6,12,24,16,3,6,6,4,6,6,12,12,12,12,8,16,16,16,1,1,3,1,3,3,6,2,6,
6,6,12,3,12,12,12,12,12,6,4,8,16,3,3,3,3,3,3,6,3,6,6,6,6,6,6,4,4,4,4,4,8,1,3,
3,3,3,3,3,4,4,4,3,1,1],[1,1,6,16,3,4,3,3,6,12,12,16,1,3,6,3,6,6,6,6,6,4,16,1,
3,3,3,6,6,3,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,12,24,16,3,4,12,6,6,12,12,12,12,
8,24,48,16,32,1,6,3,3,2,2,6,12,12,6,6,24,24,12,48,4,8,16,3,3,3,6,6,6,6,6,12,
12,4,8,8,8,16,1,3,3,6,6,4,8,3,1,1],[1,1,6,12,16,3,4,18,6,12,12,8,16,1,3,9,2,
12,2,6,12,6,6,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,
2,24,16,1,6,12,12,24,32,16,32,3,4,6,6,8,8,12,16,24,8,16,1,2,2,3,3,6,6,12,4,8,
8,16,3,6,6,4,8,8,1,1],[1,1,6,12,24,16,3,6,6,4,12,12,12,12,12,8,16,32,1,1,3,1,
6,3,3,2,6,6,6,12,3,12,6,24,24,4,8,16,3,3,3,3,3,3,6,3,6,6,6,6,6,6,4,4,4,8,8,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,8,24,16,3,4,4,3,3,6,24,12,12,12,48,16,32,1,3,
6,3,8,6,6,6,12,12,12,12,12,12,12,12,12,24,4,16,1,1,3,3,6,6,3,6,6,12,6,6,6,12,
6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,14,24,16,3,7,9,12,28,72,32,16,32,1,7,8,9,9,
3,4,12,6,18,6,8,24,12,12,36,12,16,4,8,16,1,1,3,1,3,2,3,3,6,18,6,18,6,12,12,12,
24,24,4,4,4,8,8,16,3,3,3,4,6,12,4,4,4,8,1,1,1],[1,1,6,32,16,3,3,9,16,4,48,80,
16,32,1,1,3,3,3,4,6,12,12,12,20,8,16,18,18,18,24,24,4,8,16,1,2,3,3,3,1,3,3,1,
3,3,3,3,3,6,6,15,6,6,9,9,15,24,24,4,4,4,8,8,16,1,3,3,3,6,3,6,3,3,4,4,4,8,1,1,
1],[1,1,6,24,16,1,3,3,4,12,12,24,32,16,1,3,3,6,6,8,8,12,12,12,12,24,24,24,4,8,
16,1,3,3,6,6,8,8,12,12,12,12,24,24,24,4,8,8,3,4,6,6,12,4,8,8,1,1,1],[1,1,6,8,
12,16,3,4,4,6,6,24,12,12,8,16,32,1,3,3,6,2,8,2,6,12,6,6,24,4,8,16,1,3,3,6,6,6,
6,4,8,8,8,1,3,3,4,1,1,1],[1,1,6,24,16,3,4,3,3,18,12,12,12,16,32,1,9,3,12,6,6,
6,12,12,12,24,12,4,16,3,1,3,3,6,6,3,6,6,12,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,
1,2,16,1,6,6,6,12,16,32,2,3,4,6,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,8,3,6,6,4,8,
8,1,1],[1,1,6,12,24,16,3,4,6,6,6,6,12,12,12,12,8,16,16,16,1,3,3,6,2,2,6,12,12,
12,12,12,6,12,6,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,
1],[1,1,6,24,16,3,4,9,9,6,12,12,12,16,16,16,1,3,3,9,9,6,6,6,6,6,12,12,12,12,6,
6,4,16,3,1,3,3,6,6,6,6,3,3,3,12,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
24,16,3,4,3,3,6,12,24,12,16,32,1,3,6,3,6,6,6,12,12,12,12,24,12,4,16,1,3,3,3,6,
3,6,12,12,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,12,24,16,3,1,3,6,6,12,12,12,
12,16,32,48,16,32,1,3,3,3,3,4,4,6,6,6,6,6,8,8,8,8,12,12,12,12,12,12,24,24,4,
16,8,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,4,4,4,8,8,8,8,3,3,3,4,6,
12,4,4,4,8,1,1,1],[1,1,14,24,16,7,28,3,3,6,12,12,12,32,48,16,32,7,8,1,3,3,3,4,
6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,24,4,16,8,1,1,1,2,3,3,3,3,6,6,6,6,6,
12,12,12,12,12,24,24,4,8,4,4,8,8,8,3,3,3,4,6,12,4,4,4,8,1,1,1],[1,1,2,24,16,1,
6,12,12,12,12,32,16,32,3,4,6,6,8,8,8,8,12,24,16,8,1,2,2,3,3,6,6,6,6,4,8,8,8,8,
3,6,6,4,8,8,1,1],[1,1,6,16,1,3,3,4,16,1,3,3,12,4,16,1,6,6,6,4,3,4,1,1],[1,3,4,
12,24,16,1,6,3,3,6,6,6,6,6,12,24,24,16,16,16,3,1,3,3,6,6,6,6,6,6,3,6,6,3,6,3,
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],[1,1,30,12,16,3,3,15,6,24,4,8,12,12,16,32,1,6,1,1,3,3,6,6,2,6,
3,6,3,6,6,6,6,24,24,4,8,16,3,3,3,6,3,6,3,3,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,1,14,12,16,7,28,6,6,12,12,16,16,32,7,8,3,3,4,4,6,8,8,12,24,
4,4,16,1,1,1,2,3,3,3,3,6,6,6,4,4,8,4,8,8,3,3,3,6,4,4,4,8,1,1],[1,7,36,16,7,6,
3,9,18,8,36,16,16,16,1,1,1,3,3,6,2,12,9,6,6,6,3,6,12,18,12,6,6,4,8,16,3,3,3,6,
6,3,3,3,3,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,16,3,1,3,3,
3,6,12,16,32,1,1,3,3,3,3,3,4,6,8,12,16,1,1,1,2,3,3,3,3,6,6,6,4,4,4,8,3,3,3,6,
4,4,4,8,1,1],[1,7,36,16,7,9,9,18,8,36,16,16,16,1,1,1,9,3,2,9,6,18,3,6,18,18,
18,6,4,8,16,3,3,3,3,9,3,9,6,6,6,6,6,4,4,4,4,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,
3,4,12,24,16,1,9,3,6,6,6,6,6,12,24,24,16,16,16,3,1,3,3,6,6,6,6,6,3,6,3,6,6,6,
3,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,7,36,16,7,6,3,9,18,24,36,16,16,16,1,3,3,3,3,6,6,6,12,12,9,
6,6,6,9,6,18,6,6,4,16,1,3,3,6,3,3,6,3,3,6,12,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,7,36,16,7,9,9,18,24,36,16,16,16,1,3,3,9,9,6,9,18,18,9,6,6,18,
6,6,4,16,1,9,3,3,9,9,3,6,6,6,18,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
12,16,3,15,3,6,4,8,12,12,16,1,1,1,6,6,3,3,6,2,6,3,3,6,6,6,6,6,4,8,16,3,6,3,3,
3,3,3,3,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,8,12,24,4,4,1,6,
4,6,6,12,24,48,4,4,4,8,8,8,8,1,3,6,3,1,3,3,9,3,6,6,3,3,3,3,3,6,6,6,6,6,6,6,6,
12,12,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,3,
3,3,6,3,3,3,3,3,6,3,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,
1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,8,12,24,4,4,1,6,4,6,6,12,24,48,4,4,4,8,8,8,
8,3,6,4,4,6,12,3,6,6,3,3,3,6,12,6,6,12,6,12,12,4,4,4,4,4,4,4,8,8,8,8,1,4,4,6,
3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,
6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,14,8,12,24,4,1,7,3,4,28,3,3,6,6,6,
24,12,12,12,12,12,48,48,4,4,4,8,8,8,8,7,8,3,3,4,3,3,3,6,3,8,6,6,6,6,12,6,12,
12,12,6,12,6,6,6,12,12,6,6,6,24,24,12,12,12,12,12,12,1,4,4,4,4,4,4,4,8,8,8,8,
1,1,1,6,3,3,3,6,3,3,6,3,6,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,3,12,12,12,12,12,12,1,
1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,
4,3,1,1,1,1,1,1,1,1],[1,1,2,12,12,16,1,6,6,6,12,6,6,6,6,16,16,16,32,3,3,3,4,4,
4,3,3,8,4,4,4,4,12,12,12,4,16,4,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,8,4,4,
3,3,3,3,3,4,4,4,4,4,1,1],[1,1,2,12,12,12,16,1,6,3,3,6,12,12,6,6,6,6,16,16,16,
48,16,32,1,3,3,3,3,4,4,3,3,8,4,4,8,4,4,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,4,4,16,4,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,12,12,12,12,12,12,12,4,4,
4,4,4,8,4,4,8,3,3,3,3,3,4,12,4,4,4,4,4,1,1,1],[1,1,6,24,24,1,3,15,12,4,6,6,12,
12,12,24,24,32,32,4,1,3,9,16,6,6,6,12,6,6,8,8,8,36,12,12,12,12,12,24,12,12,24,
24,24,24,24,24,24,1,3,3,3,3,3,3,12,4,4,4,6,12,6,6,6,6,6,8,8,8,24,12,12,12,12,
12,12,12,12,12,12,24,12,12,12,12,24,24,24,24,24,24,24,24,3,6,3,3,3,3,3,3,4,4,
4,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,6,3,3,3,6,1],[1,1,14,24,24,48,3,7,9,12,28,6,6,12,12,12,72,
24,24,24,24,24,32,32,64,96,96,192,1,7,8,2,9,9,3,4,12,6,6,6,6,6,18,6,6,8,24,8,
8,8,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,16,16,16,16,16,16,24,24,
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,
24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,1,1,3,1,3,2,2,2,2,2,3,3,3,3,3,
3,4,4,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,3,3,3,3,3,3,3,3,3,3,3,4,6,6,6,
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,
6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,48,
48,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,3,3,3,6,6,6,6,6,12,12,1],[1,1,
6,8,8,48,1,3,7,4,4,6,6,4,12,4,8,8,8,24,24,24,64,1,2,3,5,4,2,2,6,6,2,6,8,4,4,4,
4,4,4,4,8,4,8,4,4,12,4,8,4,12,4,8,8,8,8,8,8,8,16,8,8,8,8,8,16,8,8,8,24,8,8,8,
16,8,8,16,16,16,16,16,16,16,1,1,2,2,3,3,1,1,1,6,2,6,2,2,2,6,2,2,2,4,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,12,4,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,1,1,3,1,1,1,2,
2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,8,8,
16,1,3,7,4,4,6,6,4,12,4,8,8,24,8,8,8,32,1,2,3,5,4,2,2,6,6,2,6,8,4,4,4,4,4,4,
12,4,4,4,4,4,8,4,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,1,1,
2,2,3,3,1,1,1,6,2,6,2,2,2,4,2,2,6,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,3,1,
2,1,1,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,1,1,1,2,2,1],[1,1,6,24,8,16,1,3,15,12,4,6,6,4,12,4,24,8,8,8,8,8,32,4,
1,2,3,9,16,2,2,6,6,12,6,6,8,8,36,12,8,4,4,4,4,4,4,4,4,24,4,12,24,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,1,3,2,2,3,3,3,1,1,12,4,4,6,4,6,2,12,2,
2,2,2,2,2,6,2,2,6,2,8,4,24,4,12,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,
4,4,4,4,4,24,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,24,8,8,16,8,8,2,3,6,1,1,
3,1,1,1,4,4,4,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,6,4,2,2,4,4,4,4,4,4,4,4,4,4,8,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,1,1,1,1,1,
2,2,1,1,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,6,8,40,16,1,3,7,4,4,2,2,12,12,20,8,40,8,8,8,8,32,32,32,32,64,1,3,5,4,
6,10,6,2,2,8,8,8,8,4,4,4,4,4,12,12,4,8,20,12,4,16,8,8,8,8,8,8,8,8,8,8,8,24,8,
8,24,8,24,24,8,16,16,16,16,16,16,16,16,16,16,16,64,64,1,1,2,2,1,3,1,5,3,2,2,6,
2,2,2,2,6,2,2,2,6,2,6,8,8,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,12,
4,4,4,12,4,4,4,4,4,24,8,8,24,8,8,8,8,8,8,8,8,8,8,24,8,8,8,16,16,16,16,16,16,
16,16,1,3,1,1,1,3,1,4,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,6,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
4,1],[1,1,6,8,24,16,1,3,7,4,4,2,2,12,4,12,8,24,24,8,8,8,32,32,64,1,3,5,4,6,6,
2,2,2,8,8,4,4,4,4,4,12,4,4,4,4,8,12,4,4,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,
16,16,16,16,16,16,16,16,16,16,16,1,1,2,2,1,1,1,3,3,2,2,2,2,2,4,2,2,2,6,6,2,2,
4,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,1,1,2,3,1,6,2,2,2,2,2,2,2,2,2,2,2,2,6,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,24,8,
32,1,3,15,12,4,2,2,4,4,4,24,8,16,16,16,16,32,64,4,1,3,9,16,2,2,2,12,6,2,8,36,
12,8,4,4,8,8,8,4,4,8,8,24,4,4,24,16,16,8,16,8,16,8,8,16,16,32,16,16,32,1,3,1,
1,3,1,1,12,4,4,4,2,12,4,4,4,4,2,4,2,4,6,2,6,4,8,8,24,12,4,4,12,8,4,4,8,8,4,4,
4,4,8,24,8,8,8,4,4,4,8,8,8,8,8,8,8,8,8,8,16,24,16,8,8,8,16,8,8,16,2,3,6,2,1,1,
1,1,2,1,1,2,4,2,4,2,4,2,2,2,4,4,2,6,2,4,4,8,4,8,4,8,4,8,8,8,4,4,4,4,12,4,4,8,
4,4,4,4,4,4,4,4,8,4,4,4,8,8,8,16,1,2,2,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,4,2,2,
2,4,2,2,2,2,4,4,4,8,4,4,1,2,1,1,2,2,2,2,2,1],[1,1,6,8,8,32,1,3,7,4,4,2,2,4,4,
4,8,8,16,16,16,64,32,1,3,5,4,2,2,2,2,2,4,4,12,4,4,8,8,4,4,8,4,8,4,4,4,16,16,8,
16,8,16,8,8,16,16,16,16,16,1,1,1,1,1,1,1,6,2,4,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,1,2,1,1,1,1,1,1,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,6,8,24,1,3,7,4,4,2,2,4,12,12,8,24,32,1,3,5,4,2,6,6,2,2,8,8,4,4,4,
4,12,12,8,8,12,12,4,8,24,8,24,16,24,16,1,1,1,3,1,3,1,6,4,2,2,2,6,2,8,8,4,12,4,
4,12,4,4,8,4,12,12,4,4,24,8,24,8,8,8,8,8,24,8,8,8,1,3,1,1,1,1,1,2,4,2,6,2,2,2,
6,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,6,24,24,32,5,3,11,12,4,2,2,4,12,12,24,24,16,16,16,32,32,64,128,2,1,7,
5,10,8,8,2,6,6,8,6,12,2,8,8,8,20,28,8,4,4,8,8,12,12,8,8,16,12,12,16,16,16,16,
8,16,16,24,16,8,16,24,8,24,16,16,16,32,32,16,32,16,32,2,1,1,1,3,1,3,1,2,4,4,4,
8,4,6,4,4,8,4,4,2,4,2,2,6,6,4,8,8,8,8,8,4,8,8,12,8,12,8,8,4,12,4,4,8,4,8,8,4,
12,16,8,8,8,8,8,12,8,8,8,16,8,8,4,8,8,8,4,16,24,8,8,16,16,8,24,8,16,16,16,8,8,
8,8,16,16,8,16,8,16,8,8,24,8,8,8,8,8,8,16,16,8,8,8,16,8,8,32,32,1,1,1,1,2,3,1,
1,1,2,1,1,1,4,4,4,2,2,4,2,2,4,4,2,4,2,6,4,4,2,2,2,4,2,2,4,2,2,6,8,8,4,4,4,4,4,
4,4,4,12,8,8,8,8,4,4,4,4,8,8,8,8,8,4,4,8,4,8,8,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,
4,8,4,8,4,8,8,16,8,8,8,8,8,8,8,16,8,8,16,16,8,8,8,8,8,8,16,8,8,16,8,16,16,1,1,
1,1,1,2,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,8,8,4,4,
8,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,4,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,4,
1],[1,1,6,8,24,48,1,3,7,4,4,2,2,12,4,12,8,24,8,24,24,24,32,64,32,64,1,3,5,4,6,
6,2,2,2,8,8,4,4,4,4,4,4,8,8,4,4,12,4,8,12,4,4,16,8,8,8,16,8,8,8,8,16,8,8,8,24,
8,8,16,8,8,8,24,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,1,1,2,2,1,1,1,3,3,
2,2,2,2,2,2,6,2,2,6,2,4,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,
4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
16,16,16,16,16,16,16,16,16,16,16,16,1,2,1,1,1,1,3,1,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,14,56,8,16,7,7,21,28,28,
2,2,4,4,4,168,8,8,8,8,8,224,32,64,7,7,8,21,21,21,28,28,2,2,2,42,42,42,2,56,56,
64,84,84,4,4,4,4,4,4,4,4,4,4,84,4,4,84,112,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,16,16,16,16,16,16,16,16,16,16,1,7,7,7,7,8,14,1,1,21,1,1,21,28,28,28,28,2,2,
42,2,42,42,2,2,2,2,2,2,2,42,2,42,2,56,4,4,84,4,84,4,4,4,4,84,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,84,4,4,4,4,4,4,4,84,4,4,4,4,84,4,8,8,8,8,8,
8,168,8,8,8,8,8,8,8,8,8,8,8,8,8,168,8,8,8,8,8,8,8,8,16,16,16,16,16,16,7,7,1,
21,21,1,1,1,1,1,1,21,1,1,1,28,28,2,2,2,2,2,2,42,2,2,42,2,2,2,2,2,2,2,2,2,2,2,
2,2,42,2,2,2,2,2,2,2,2,2,2,56,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,
4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,4,4,4,4,84,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,1,1,1,1,1,1,1,1,1,21,1,1,1,28,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,6,24,8,
16,5,3,11,12,4,6,6,4,12,4,24,8,8,8,8,8,32,2,1,2,7,5,10,8,8,2,2,6,6,8,6,12,6,8,
8,20,28,4,4,4,4,4,4,4,4,4,12,16,4,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,16,16,2,1,1,2,2,3,3,1,1,1,2,4,4,4,8,6,2,6,2,4,2,2,4,8,2,6,2,2,2,2,2,2,6,
2,8,4,4,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,16,4,4,4,8,4,
12,12,4,16,4,4,12,4,4,4,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,
3,1,2,1,1,3,4,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
8,8,8,8,1,1,3,1,1,1,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,24,16,1,3,7,4,4,6,6,4,20,12,8,24,8,8,8,
8,32,1,2,3,5,4,2,6,10,6,2,6,8,8,8,4,4,4,4,4,4,4,12,12,4,8,12,20,4,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,8,24,16,16,16,1,1,2,2,3,5,1,3,1,6,6,6,2,2,2,
2,2,2,2,2,6,2,2,8,8,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,4,12,4,12,4,4,24,8,24,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,16,16,16,16,1,3,1,
3,1,1,1,4,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
14,24,8,48,3,7,9,12,28,6,6,12,4,4,72,8,8,24,24,24,32,96,64,1,7,8,9,9,3,4,12,6,
2,2,6,18,6,6,8,24,12,12,4,12,12,4,12,12,4,4,12,4,36,4,4,12,16,8,24,24,24,8,24,
24,24,8,24,8,8,8,24,8,8,8,8,48,48,16,16,48,16,16,16,48,16,48,48,16,16,1,1,3,1,
3,2,3,1,3,1,3,3,4,2,2,6,2,18,6,6,2,2,6,6,6,2,18,2,6,6,4,4,12,4,4,12,4,4,12,4,
4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,12,4,12,12,4,12,12,4,4,8,8,8,24,24,
24,24,24,8,24,8,24,8,8,24,8,8,24,8,8,8,24,8,8,8,8,24,8,8,24,8,16,16,16,16,16,
16,3,3,3,1,3,1,1,1,3,1,1,4,4,2,6,6,2,2,2,2,6,2,2,2,2,2,6,2,6,2,2,2,2,2,6,6,2,
2,2,2,2,2,8,8,4,4,4,4,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,8,8,24,24,8,8,1,1,1,3,3,1,1,1,1,
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],[1,1,14,24,8,16,3,7,9,12,28,2,2,4,4,4,72,8,8,8,8,8,32,32,
64,1,7,8,9,9,3,4,12,2,2,2,6,18,6,2,8,24,12,12,8,4,4,4,4,4,4,4,4,8,36,4,4,12,
16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,16,16,16,16,16,16,16,16,16,16,1,1,3,1,
3,2,1,1,3,1,1,3,4,2,6,2,18,6,2,4,2,2,2,2,2,18,2,6,2,4,8,12,4,4,4,4,4,12,4,4,8,
4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,12,4,4,8,4,4,4,4,4,8,8,16,16,8,8,8,24,8,16,8,
8,8,16,8,24,8,8,16,16,16,16,16,16,3,2,3,1,1,1,1,1,1,3,1,1,2,4,2,2,2,2,4,2,6,2,
2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,
4,8,8,8,4,4,4,8,4,12,8,16,1,2,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,4,2,2,2,4,2,2,2,4,
4,4,4,4,8,4,2,1,1,1,2,2,2,2,2,1],[1,1,6,8,8,16,1,3,7,4,4,10,10,12,12,4,8,8,8,
8,8,8,1,2,3,5,4,6,2,6,6,2,10,8,4,4,12,4,12,4,4,4,4,4,8,4,12,4,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,1,1,2,2,5,3,1,1,3,4,6,6,2,2,2,2,2,6,6,2,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,
4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,3,3,1,1,1,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,24,8,5,3,11,
12,4,2,2,4,4,4,24,8,32,32,2,1,7,5,10,8,8,2,2,2,8,6,12,2,8,20,28,4,4,4,4,4,4,
16,4,4,16,8,8,8,8,8,16,2,1,1,1,1,1,1,1,2,4,4,4,8,2,2,4,4,8,2,2,2,2,2,6,8,4,8,
4,4,12,4,4,4,4,4,4,16,4,8,4,4,4,16,4,4,4,4,4,4,8,8,16,8,8,8,8,8,1,1,1,1,1,1,1,
1,2,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,8,16,3,7,9,12,28,2,2,4,4,4,72,8,
8,8,8,8,32,32,64,1,7,8,9,9,3,4,12,2,2,2,6,18,6,2,8,24,12,12,4,4,4,4,4,4,4,4,
36,4,4,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,
16,16,1,1,3,1,3,2,1,1,3,1,1,3,2,6,2,18,6,2,2,2,2,2,2,18,2,6,2,4,12,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,24,8,8,8,8,
8,8,8,8,8,8,24,8,8,16,16,16,16,16,16,3,3,1,1,1,1,1,1,3,1,1,4,2,2,2,2,2,6,2,2,
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,
4,4,4,4,12,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,
2,2,1],[1,1,6,8,24,16,1,3,7,4,4,6,6,20,4,12,8,24,8,8,8,8,32,32,64,1,3,5,4,10,
6,2,2,6,8,8,4,4,12,12,4,4,4,4,8,12,4,4,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,
16,16,16,16,16,16,16,16,16,16,16,1,1,2,2,3,1,1,3,5,4,2,2,2,2,2,2,2,6,6,6,2,2,
2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,8,8,8,8,
8,8,8,8,8,8,8,16,16,16,16,1,1,3,1,1,3,1,4,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,24,8,5,3,11,
12,4,2,2,4,4,4,24,8,32,2,1,7,5,10,8,8,2,2,2,8,6,12,2,8,20,28,4,4,4,4,4,4,16,4,
4,16,8,8,8,16,16,2,1,1,1,1,1,1,1,2,4,4,4,8,2,2,4,4,8,2,2,2,2,2,6,8,4,8,4,4,12,
4,4,4,4,4,4,16,4,8,4,4,4,16,4,4,4,4,8,8,16,8,8,8,8,8,8,1,1,1,1,1,1,1,1,2,1,1,
1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,8,8,32,1,3,7,4,4,2,2,4,4,4,8,8,16,16,16,64,
1,3,5,4,2,2,2,2,2,4,4,4,4,4,8,8,4,4,8,12,8,4,4,4,16,16,8,16,8,16,8,8,16,16,16,
16,16,1,1,1,1,1,1,1,2,2,4,6,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,8,8,1,3,
7,4,4,6,6,12,4,4,8,8,32,1,3,5,4,6,2,2,2,6,4,4,12,12,4,4,8,8,4,4,4,8,8,8,16,16,
1,1,3,1,1,1,3,4,2,4,6,6,2,2,2,4,4,4,4,4,4,4,8,4,12,4,4,8,8,8,8,8,1,1,3,1,1,1,
1,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,6,24,
8,1,3,15,12,4,2,2,4,4,4,24,8,32,32,4,1,3,9,16,2,2,2,12,6,2,8,36,12,4,4,4,4,24,
4,4,24,8,8,8,8,16,16,1,3,1,1,3,1,1,12,4,4,2,12,2,2,6,2,6,8,24,12,4,12,4,4,4,4,
4,4,24,4,4,8,8,8,8,8,8,8,8,24,8,8,3,6,1,1,1,1,1,1,4,2,2,6,2,4,4,4,4,12,4,4,4,
4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,6,24,24,16,5,3,
11,12,4,2,2,12,4,12,24,24,8,8,8,8,32,32,32,64,2,1,7,5,10,8,8,6,6,2,8,6,12,2,8,
8,8,20,28,12,4,4,4,4,4,4,4,16,12,4,16,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,
16,16,16,16,16,16,16,16,16,16,2,1,1,2,2,1,1,1,3,3,2,4,4,4,8,2,2,6,2,4,2,4,2,8,
2,2,2,6,2,2,2,2,6,6,8,4,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
16,4,4,4,8,4,4,4,12,16,4,4,4,4,4,4,12,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,
16,16,16,16,1,3,1,1,1,1,1,1,2,3,1,1,4,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,6,
2,2,2,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,8,8,8,8,1,1,3,1,1,1,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,24,24,16,3,7,9,
12,28,2,2,4,12,12,72,24,24,8,8,8,32,32,32,64,1,7,8,9,9,3,4,12,2,6,6,6,18,6,2,
8,8,24,8,12,12,4,4,4,12,4,4,12,12,4,4,36,12,12,12,16,8,8,8,8,8,8,8,8,8,8,8,8,
24,8,8,8,24,8,24,8,48,48,16,16,16,16,16,16,16,16,1,1,3,1,3,2,1,3,3,3,1,3,2,6,
6,6,18,6,2,2,6,2,2,2,6,18,6,6,2,8,8,4,4,12,12,4,4,4,12,4,12,4,4,4,4,4,12,12,4,
12,12,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,24,8,8,
8,24,8,24,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,16,16,16,16,16,16,3,3,1,3,1,1,1,
3,3,1,1,4,4,2,2,2,2,6,6,6,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,6,2,2,2,2,6,4,4,4,4,
4,4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,3,1,3,1,1,4,4,
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],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,16,1,3,5,4,2,2,2,2,2,4,4,12,4,4,
8,4,4,4,8,4,4,4,8,8,8,8,16,1,1,1,1,1,1,1,6,2,4,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,8,8,8,8,8,8,2,1,1,1,1,1,2,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,
1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,14,24,8,16,3,7,9,12,28,2,2,4,4,4,72,8,8,8,8,8,
32,32,32,64,1,7,8,9,9,3,4,12,2,2,2,6,18,6,2,8,24,12,12,4,4,4,4,4,4,4,4,36,4,4,
12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,16,1,
1,3,1,3,2,1,1,3,1,1,3,2,6,2,18,6,2,2,2,2,2,2,18,2,6,2,4,12,4,4,4,4,4,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,
24,8,8,16,16,16,16,16,16,3,3,1,1,1,1,1,1,3,1,1,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,
6,24,8,5,3,11,12,4,6,6,12,4,4,24,8,16,32,2,1,7,5,10,8,8,6,2,2,8,6,12,6,8,20,
28,8,12,12,8,4,4,8,16,4,4,16,16,8,16,8,8,8,2,1,1,3,1,1,1,3,2,4,4,4,4,8,4,2,4,
4,4,8,4,4,6,6,4,2,2,6,8,8,8,8,4,4,4,12,4,4,8,4,8,4,8,4,4,4,4,16,8,8,4,4,4,16,
12,4,4,4,4,4,8,4,8,8,16,8,8,8,8,1,1,1,1,1,3,1,1,2,2,1,1,1,4,4,2,4,4,2,2,4,2,2,
4,4,2,4,4,4,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,8,1,1,1,2,1,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,2,1,1,1,
2,2,2,2,2,1],[1,1,6,24,24,16,1,3,15,12,4,2,2,12,4,12,24,24,8,8,8,8,32,32,32,
64,4,1,3,9,16,6,6,2,12,6,2,8,8,8,36,12,4,4,4,4,4,4,8,24,12,4,24,16,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,16,24,8,16,16,16,16,16,16,16,16,16,16,1,3,2,2,1,1,3,3,3,12,
4,4,2,2,2,12,2,2,2,4,2,6,2,2,6,2,6,6,8,24,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,
4,12,8,4,4,4,4,4,24,4,4,8,4,4,4,8,4,8,8,8,8,8,8,8,16,8,8,8,8,8,8,24,8,16,8,8,
16,16,16,16,3,6,1,1,1,1,3,1,2,4,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,4,2,2,4,2,4,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,1,1,2,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,4,4,4,4,
4,4,2,1,1,1,2,2,2,2,2,1],[1,1,6,24,8,1,3,15,12,4,2,2,4,4,4,24,8,32,4,1,3,9,16,
2,2,2,12,6,2,8,36,12,4,4,4,4,24,4,4,24,8,8,8,8,8,8,16,1,3,1,1,3,1,1,12,4,4,2,
12,2,2,6,2,6,8,24,12,4,12,4,4,4,4,4,4,24,4,4,4,4,8,8,8,8,8,8,8,24,8,8,3,6,1,1,
1,1,1,1,4,2,2,6,2,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,4,1],[1,1,6,8,24,1,3,7,4,4,2,2,4,12,12,8,24,32,1,3,5,4,2,6,6,2,2,8,
8,4,4,8,4,4,12,12,8,12,12,4,8,8,24,8,24,16,8,24,1,1,1,3,1,3,1,4,6,2,2,2,6,2,8,
8,4,12,4,4,12,4,4,8,4,12,12,4,4,4,4,24,8,24,8,8,8,8,24,8,8,8,2,1,3,1,1,1,1,1,
4,2,6,2,2,2,6,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,2,2,1],[1,1,6,8,8,1,3,7,4,4,6,6,12,4,4,8,8,1,3,5,4,6,2,2,2,6,4,4,8,12,
12,4,4,8,4,4,4,8,8,8,16,16,1,1,3,1,1,1,3,4,4,2,6,6,2,2,2,4,4,4,4,4,4,4,8,4,12,
4,4,8,8,8,8,8,2,1,1,3,1,1,1,1,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,
2,2,2,1,1,1,1],[1,1,6,8,8,1,3,7,4,4,2,2,4,4,4,8,8,16,1,3,5,4,2,2,2,2,2,4,4,4,
4,4,8,4,4,12,8,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,4,6,4,2,2,4,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,2,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,6,8,8,16,3,3,5,4,4,8,8,16,4,4,8,8,16,
8,8,8,1,1,1,5,3,3,4,8,2,2,3,2,2,2,8,4,4,4,4,12,2,12,8,4,2,4,4,4,4,4,4,8,8,8,8,
4,8,4,8,8,4,8,8,4,4,4,4,12,4,4,8,8,4,8,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,3,3,1,
2,4,2,2,3,2,1,2,2,2,1,4,2,2,2,2,1,6,8,2,1,2,3,2,2,8,4,2,2,4,2,2,2,4,4,2,2,4,4,
2,8,2,2,4,2,2,2,2,2,4,2,4,4,2,2,4,4,2,2,4,2,4,2,2,12,4,2,6,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,3,1,1,4,2,2,2,2,1,2,2,2,3,2,1,3,1,2,2,1,1,1,1,4,1,2,1,
2,1,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,1,1,1,1,1,2,1,1,2,
1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,
8,32,1,10,4,2,2,8,4,8,8,8,16,16,32,2,3,8,2,2,2,4,12,6,4,4,4,4,4,4,10,4,2,6,4,
8,8,8,12,4,4,4,8,4,8,8,8,8,8,8,8,8,1,1,1,4,2,2,2,2,2,4,2,2,2,4,4,4,2,4,4,4,6,
4,2,4,4,2,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,12,4,8,4,4,4,8,8,8,8,8,1,
1,1,2,2,2,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,4,2,4,2,4,4,4,4,4,4,4,4,
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],[1,1,6,8,16,32,3,
3,5,4,4,2,2,4,8,8,8,16,24,16,16,16,16,32,32,16,48,64,1,1,5,3,3,4,2,4,4,2,2,2,
2,4,4,4,4,4,12,8,4,8,8,8,8,4,4,4,8,8,8,8,4,4,16,8,4,4,4,8,4,4,12,4,8,8,4,4,4,
8,8,16,8,8,4,16,12,8,8,16,8,8,8,16,16,8,16,16,24,8,16,8,8,16,8,24,1,1,1,1,1,1,
1,2,1,1,2,4,2,3,1,2,6,2,3,2,2,4,2,2,2,4,2,2,2,1,4,4,2,8,4,4,2,4,8,2,4,4,2,4,2,
4,2,4,2,2,2,2,2,2,2,4,2,4,8,8,2,6,2,4,4,2,4,2,2,4,2,4,4,2,2,4,8,8,4,4,4,12,12,
12,8,8,8,8,12,4,4,4,16,8,8,8,8,16,8,8,8,8,8,8,24,16,24,8,8,1,1,2,1,1,4,1,2,2,
1,2,1,1,2,1,1,2,2,2,2,2,3,1,1,1,3,4,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,6,2,2,4,2,4,2,2,2,4,4,4,
2,2,2,8,4,8,12,4,8,1,1,1,1,1,2,1,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,10,4,6,6,16,4,8,16,32,2,2,3,8,6,
6,2,6,8,4,12,6,4,4,2,4,2,14,4,8,4,4,4,4,12,8,8,8,8,8,8,8,8,1,2,2,3,3,4,6,2,6,
2,4,4,2,4,6,4,4,2,4,2,4,2,12,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,12,
8,8,8,8,8,1,1,3,2,2,1,1,6,1,1,6,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,4,2,4,4,4,4,4,
4,4,4,4,4,4,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,
32,32,3,3,5,4,4,2,2,4,16,16,8,32,8,16,16,16,32,16,32,32,16,48,64,1,1,5,3,3,4,
2,8,8,2,2,2,2,8,4,4,8,4,4,4,4,4,8,4,8,16,16,8,4,4,12,12,8,8,8,8,4,4,16,8,4,4,
4,8,4,4,12,4,8,8,4,4,4,8,8,16,24,8,4,16,24,12,24,8,16,8,8,8,16,16,8,16,16,24,
8,16,8,8,16,8,24,32,32,1,1,1,1,3,3,1,2,1,1,2,2,8,2,3,1,2,2,2,3,2,2,2,2,2,2,2,
6,2,1,4,8,8,4,4,2,4,8,4,4,2,12,8,2,4,4,4,2,2,12,2,4,2,2,2,2,2,2,2,4,2,4,8,8,2,
6,2,12,4,4,2,4,4,2,2,4,4,12,4,4,2,4,4,4,2,4,2,4,4,8,24,8,8,4,24,4,8,8,4,12,12,
12,8,8,8,8,12,4,4,24,4,8,8,16,8,8,8,8,16,8,8,8,8,8,8,24,8,8,8,8,16,8,8,8,24,8,
8,8,1,3,1,4,1,2,4,1,2,2,2,6,2,1,2,1,1,1,1,2,2,2,2,2,3,1,1,1,3,6,4,4,2,2,4,2,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,12,2,2,4,2,2,4,2,4,2,4,2,2,2,2,4,4,2,4,
2,2,4,2,4,2,2,2,2,4,2,2,4,2,2,4,6,2,2,2,4,2,2,2,4,4,2,4,2,4,2,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,8,8,4,4,12,8,8,8,8,4,8,8,8,1,1,1,1,2,1,1,2,1,1,2,1,1,1,2,
2,2,4,4,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,16,16,1,7,3,4,28,2,2,4,8,8,24,16,16,8,8,8,16,
32,16,16,32,7,8,3,3,4,2,4,4,6,2,8,4,4,4,4,4,8,4,4,4,4,12,4,4,8,8,4,4,4,8,8,4,
8,8,4,8,4,4,8,8,4,4,4,16,8,4,4,4,8,8,4,16,32,16,16,8,8,8,8,8,8,8,8,8,8,16,1,1,
1,1,1,1,1,2,3,1,2,2,2,2,1,3,2,6,1,2,2,2,2,2,4,6,4,2,1,2,4,8,4,2,2,4,4,4,2,2,2,
2,4,2,2,4,4,2,8,4,4,4,2,2,2,6,2,2,4,2,4,4,2,2,4,2,2,4,4,4,2,2,4,8,4,8,8,4,8,8,
4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,2,2,2,2,1,3,2,3,2,2,1,1,2,4,2,
1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,4,4,2,2,2,
2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,4,2,4,4,4,4,1,1,1,1,1,2,
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,
1,2,8,32,16,4,1,6,4,12,4,16,24,8,16,32,16,16,32,3,6,4,4,6,6,6,4,8,8,12,14,4,4,
2,14,2,16,4,4,8,4,4,8,8,4,4,4,24,8,8,8,8,8,32,1,2,2,3,3,4,4,6,6,6,6,4,2,2,12,
4,4,2,2,14,2,2,12,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,8,1,3,
3,6,1,6,1,6,1,6,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,8,8,32,1,7,3,4,28,4,4,8,4,
4,24,8,8,16,16,16,32,64,32,32,7,8,1,3,3,4,4,2,2,3,6,4,8,4,4,8,6,8,4,4,6,4,8,4,
12,8,8,8,8,12,4,8,4,16,8,16,12,16,8,4,4,8,16,8,4,8,4,4,8,12,4,4,8,16,4,4,8,8,
4,4,4,16,32,8,8,8,16,8,16,8,8,16,8,8,8,1,1,1,1,1,1,1,2,2,1,2,1,2,3,6,2,2,2,1,
4,4,2,2,6,3,2,1,2,2,2,4,4,6,2,4,2,8,2,6,2,4,2,4,2,4,2,4,2,8,2,2,2,2,2,4,6,2,2,
2,2,4,4,4,4,4,4,2,4,2,2,2,4,2,2,4,4,16,4,4,8,4,4,4,4,16,12,4,12,4,12,4,4,8,8,
8,24,8,16,8,8,8,8,8,8,8,8,8,8,8,16,24,1,1,1,2,1,2,2,2,2,1,3,1,1,2,2,1,1,1,4,1,
2,1,1,2,2,3,4,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,4,2,6,2,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,12,4,4,
8,1,1,1,1,1,2,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,8,32,4,1,6,4,2,2,8,4,8,8,8,16,16,32,3,6,4,4,2,6,2,4,12,2,
4,4,4,4,4,4,6,2,6,8,8,12,8,4,4,8,4,8,12,8,8,8,8,8,8,8,1,1,1,4,4,2,2,6,2,2,2,2,
2,4,2,2,4,4,4,4,2,4,4,6,4,2,2,2,4,4,2,4,4,4,8,4,4,4,4,4,4,4,4,4,12,8,4,4,4,4,
4,4,8,8,8,8,8,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,2,2,4,2,4,2,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,14,8,8,64,1,7,3,4,28,8,8,16,4,4,24,8,8,32,32,32,32,128,32,32,7,8,1,3,3,4,
8,2,2,3,6,8,8,4,16,6,16,4,12,6,12,16,12,8,8,8,8,12,4,8,4,32,8,32,12,32,8,4,4,
8,32,24,4,24,4,4,24,12,4,4,8,32,4,4,8,4,4,4,48,48,16,64,8,8,8,16,8,48,16,8,48,
8,48,8,8,8,1,1,1,1,1,3,3,2,4,2,1,1,2,3,6,2,6,1,8,8,6,2,6,3,2,1,2,6,2,4,6,2,4,
2,16,2,6,2,4,2,2,4,2,4,2,16,2,2,2,2,2,6,2,2,2,2,12,4,12,4,12,2,12,2,12,2,2,4,
2,2,4,32,24,4,24,4,24,4,4,4,4,32,12,4,12,24,24,4,24,12,4,4,24,24,8,8,8,8,8,8,
24,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,24,8,1,3,3,4,6,6,1,6,1,6,3,1,1,
6,1,1,1,8,1,2,1,1,2,2,3,8,4,8,2,2,2,2,2,12,4,4,2,2,2,2,2,2,2,12,12,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,12,4,4,24,4,4,4,8,8,8,1,1,
3,3,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,48,3,3,5,4,4,4,4,8,4,
4,8,8,16,24,24,24,64,1,1,1,5,3,3,4,4,2,2,3,2,2,2,4,4,4,4,4,2,4,8,12,2,12,4,4,
12,4,8,8,8,8,4,8,4,8,16,8,4,8,8,4,16,4,4,4,12,4,16,4,8,8,16,4,8,8,4,4,8,16,16,
8,8,8,8,8,8,16,16,8,8,8,1,1,1,1,1,1,1,2,2,2,3,1,2,2,2,1,4,2,2,4,2,1,2,4,4,2,1,
2,3,2,6,8,2,2,4,2,2,2,4,4,2,2,4,4,4,2,8,2,2,4,2,2,2,2,2,4,2,4,4,4,2,2,4,4,2,2,
2,4,8,2,8,2,4,2,6,2,2,4,4,8,4,8,4,4,4,4,4,8,4,4,4,8,8,4,8,4,4,8,8,4,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,1,1,1,2,2,2,2,1,2,2,3,2,2,1,3,1,2,1,1,1,1,4,1,1,
1,2,2,2,2,2,2,4,2,4,2,4,2,4,4,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,4,2,2,4,
2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,4,2,4,2,2,4,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,1,2,1,2,1,1,1,1,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,16,4,1,6,4,
6,6,16,4,8,16,32,2,3,6,4,4,6,6,6,6,8,4,12,2,4,4,14,2,14,4,8,4,4,8,4,4,8,8,8,8,
8,8,8,1,2,2,3,3,4,4,6,6,6,6,2,2,4,2,12,14,4,2,2,2,4,12,2,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,3,3,6,1,1,6,1,1,6,6,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,24,8,32,5,3,11,12,4,2,2,4,4,4,24,8,16,16,16,16,32,32,32,32,32,2,1,7,5,
10,8,8,2,2,2,8,6,12,2,8,20,28,4,4,8,4,4,4,8,4,16,4,4,16,8,8,8,8,8,4,4,4,4,4,8,
8,4,4,8,4,4,4,8,4,4,8,16,8,4,4,8,4,8,16,4,8,8,8,16,8,16,24,8,16,8,8,8,16,8,2,
1,1,1,1,1,1,1,2,2,2,4,4,4,8,2,2,2,4,2,2,2,2,4,2,8,4,2,4,2,2,2,2,6,2,2,8,2,8,2,
4,2,2,4,2,2,12,2,2,6,4,4,2,4,2,2,2,2,6,2,8,8,2,2,4,8,2,2,16,2,2,2,8,2,4,4,4,4,
4,4,4,16,4,2,4,2,4,8,4,4,4,4,16,8,4,4,4,4,4,4,4,16,4,16,8,4,4,4,4,8,4,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,1,1,4,2,1,2,1,1,2,2,1,2,1,1,4,1,2,1,2,2,2,
2,4,2,2,2,2,2,4,2,2,4,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,4,8,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,8,2,2,2,2,4,6,6,2,2,4,2,2,8,4,2,2,2,2,4,
2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,3,2,1,2,1,1,1,2,1,1,1,4,1,1,1,2,
1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,14,8,32,16,1,7,3,4,28,2,2,4,16,16,24,32,32,8,8,8,32,16,32,16,16,32,7,
8,3,3,4,2,8,8,6,2,8,8,4,4,8,4,4,16,12,12,4,12,12,12,8,8,4,4,4,8,8,4,8,8,4,8,4,
4,8,8,4,4,4,32,8,4,4,24,4,24,8,4,48,64,16,16,8,8,8,8,8,8,8,8,8,8,16,32,32,1,1,
1,1,1,3,3,2,3,1,2,2,6,1,3,6,6,1,6,2,2,2,8,6,8,2,1,8,8,2,16,2,2,4,4,12,2,2,2,2,
2,2,12,12,2,16,12,4,4,2,2,2,6,2,2,2,4,4,12,2,2,2,12,2,4,4,2,2,24,8,4,8,24,8,4,
8,4,4,4,4,4,4,4,24,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,3,3,4,1,6,1,6,2,6,
1,3,6,3,2,1,1,2,8,1,1,1,1,1,6,2,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,6,2,12,2,
2,4,2,2,2,12,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,3,3,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,16,32,4,1,
6,4,4,4,8,8,8,8,8,16,16,16,16,32,32,3,6,4,4,2,2,6,4,12,6,4,4,4,4,2,6,2,8,4,8,
12,8,8,4,4,8,8,12,4,4,8,16,8,8,16,8,8,32,1,1,1,4,4,2,2,2,2,2,6,2,2,4,2,2,4,4,
4,4,4,4,4,2,2,6,2,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,12,8,4,4,4,8,4,4,4,8,8,8,8,
8,8,8,1,1,1,1,2,2,1,2,1,2,2,2,1,2,4,2,2,2,4,2,4,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,
16,32,1,10,4,4,4,8,8,8,8,8,16,16,16,16,32,32,2,3,8,2,2,2,4,12,10,4,4,4,4,6,4,
6,2,4,8,8,4,8,12,8,4,4,8,4,4,4,8,8,16,8,8,16,8,8,32,1,1,1,4,2,2,4,2,2,2,2,2,2,
4,2,4,4,4,4,2,4,4,2,4,2,2,4,4,4,6,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
4,8,8,8,8,8,8,8,8,2,1,1,1,1,2,1,2,2,1,2,2,1,4,2,2,2,4,2,4,2,2,2,4,2,2,2,2,2,2,
4,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,24,8,32,1,3,15,12,4,2,2,4,4,4,24,8,16,16,16,16,32,32,32,32,32,4,1,3,
9,16,2,2,2,12,6,2,8,36,12,8,4,8,4,4,4,8,8,24,4,4,24,8,8,8,8,8,4,4,4,4,4,8,8,4,
4,8,4,4,4,8,4,4,8,16,8,4,4,8,4,8,8,4,8,8,8,16,8,16,24,8,16,8,8,8,16,8,1,3,1,1,
3,1,1,2,2,12,4,4,2,2,4,12,2,2,2,2,2,4,4,4,2,2,6,2,6,2,2,8,2,4,24,2,12,2,2,4,2,
2,12,2,4,2,6,4,2,4,2,2,2,2,6,2,8,8,2,2,4,4,4,2,2,2,2,2,4,24,2,4,4,4,4,4,4,2,4,
2,4,4,4,4,8,4,4,4,4,4,4,4,12,24,12,4,12,4,8,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,
3,6,1,1,1,1,2,4,2,1,2,1,1,2,2,1,1,1,4,1,2,6,1,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,
2,2,4,4,2,4,2,2,2,6,2,2,2,2,4,6,2,2,2,12,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,6,6,2,2,4,2,2,4,6,2,2,2,2,2,4,4,4,4,4,8,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,3,1,2,3,2,1,1,1,2,1,1,1,3,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,2,8,32,16,1,10,4,12,4,16,24,8,16,
32,16,16,32,2,3,8,6,6,2,4,8,8,12,2,4,4,6,4,14,2,4,16,8,4,4,4,4,8,12,4,4,24,8,
8,8,8,8,8,32,1,2,2,3,3,4,2,2,6,6,4,2,12,2,4,4,4,2,4,2,2,4,4,6,2,2,4,4,4,8,4,4,
4,4,8,4,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,1,3,1,6,1,1,6,2,1,2,2,1,2,2,2,2,
2,2,2,4,4,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,8,32,5,3,11,12,4,2,2,4,4,4,24,8,16,16,16,
16,32,64,64,2,1,7,5,10,8,8,2,2,2,8,6,12,2,8,20,28,4,4,4,8,8,8,4,4,8,4,16,4,4,
16,8,16,8,16,16,8,8,8,16,8,16,8,16,16,16,16,16,16,16,16,16,16,2,1,1,1,1,1,1,1,
2,4,4,4,8,2,2,4,4,4,8,4,2,4,2,4,2,4,2,2,6,4,8,4,4,8,4,4,4,4,12,2,4,4,8,4,4,4,
4,4,4,2,8,4,4,16,4,4,8,2,2,8,2,4,8,16,2,2,2,8,8,8,8,8,8,4,8,8,16,4,12,8,4,8,8,
8,8,8,8,8,8,4,12,4,12,8,4,4,4,4,4,4,12,8,8,4,16,16,1,1,1,2,1,1,2,2,4,1,2,2,1,
2,2,2,2,1,4,2,2,1,2,2,2,2,2,2,2,1,2,1,2,2,1,1,2,2,4,4,6,6,2,4,2,4,2,2,4,2,2,4,
2,4,2,6,4,6,4,2,4,2,2,4,4,4,2,2,6,4,4,2,4,2,6,8,2,2,6,2,4,2,6,2,2,4,2,4,4,4,4,
12,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,3,2,1,1,2,1,1,
3,1,2,1,1,1,3,2,1,2,4,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1,1,1,2,1,1,1,1],[1,1,14,24,8,16,3,7,9,12,28,2,2,4,4,4,72,8,8,8,8,8,32,32,
1,7,8,9,9,3,4,12,2,2,2,6,18,6,2,8,24,12,12,8,4,4,4,4,4,4,4,4,8,36,4,4,12,16,8,
8,8,8,8,8,8,8,8,16,16,16,16,16,1,1,3,1,3,2,1,1,3,1,1,3,4,2,6,2,18,6,2,4,2,2,2,
2,2,18,2,6,2,8,12,4,4,4,4,12,2,8,4,4,4,4,4,2,8,12,4,8,4,2,2,4,2,4,2,4,2,2,8,8,
8,4,8,8,24,4,8,8,4,8,4,8,4,4,4,4,24,4,4,4,4,4,4,8,4,4,3,1,3,1,1,1,1,3,1,4,1,2,
1,2,2,2,6,1,4,4,2,2,2,1,2,2,2,2,2,2,1,2,1,2,1,1,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,
2,4,2,4,8,2,2,4,4,4,2,2,2,8,4,4,2,2,2,6,6,2,2,4,2,2,2,4,2,4,2,12,4,4,4,4,8,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,4,1,1,1,1,2,3,1,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,14,28,7,28,28,56,8,
7,8,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,
1],[1,1,14,28,7,28,28,56,8,7,8,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,1,42,28,21,28,
28,42,28,56,8,7,7,21,84,7,7,28,8,21,8,7,7,14,14,8,7,7,1,1],[1,1,14,56,16,7,7,
21,28,28,168,224,16,32,32,7,7,8,21,21,21,28,28,42,42,42,56,56,64,84,84,84,84,
112,4,8,16,16,16,1,7,7,7,7,8,14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,84,
84,84,84,84,168,168,4,4,4,8,8,8,16,16,16,7,7,21,21,21,28,28,42,42,42,56,84,84,
84,84,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,4,8,1,1,1,1,1],[1,1,6,8,24,48,
16,3,4,4,9,9,6,12,24,24,12,24,24,24,48,96,96,16,16,16,32,32,1,3,3,6,9,6,9,8,6,
6,6,6,6,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,6,12,12,12,12,12,12,6,
12,12,12,24,24,24,24,12,48,24,12,12,24,24,4,16,16,16,32,32,1,3,1,3,6,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,6,3,3,12,6,12,6,12,12,12,12,6,12,12,6,6,6,6,6,6,
6,12,6,12,24,12,12,24,24,24,24,24,24,12,12,12,24,24,12,24,12,4,4,4,8,8,16,1,3,
3,3,2,6,6,3,6,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,12,24,1,4,
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],[1,1,14,72,16,7,28,9,
9,18,36,36,36,96,144,16,16,16,32,32,7,8,3,9,9,9,12,18,18,18,18,18,24,24,24,36,
36,36,36,36,36,6,36,36,6,12,12,72,12,12,12,4,16,16,16,32,32,1,3,3,6,1,9,9,9,9,
18,18,18,18,18,3,3,3,36,6,6,6,36,36,6,36,6,6,6,6,36,6,6,6,12,12,72,12,12,12,
12,12,72,12,4,4,4,8,8,16,1,9,9,9,2,12,3,18,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,36,6,
6,6,6,6,6,12,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,
1,2,8,16,4,1,6,4,6,6,12,16,32,32,2,3,6,4,4,6,6,6,6,8,12,12,12,16,16,16,1,2,2,
3,3,4,4,6,6,6,6,12,12,12,4,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,1,
14,8,24,16,1,7,3,4,28,12,12,24,24,24,32,16,32,32,7,8,3,3,4,6,6,6,8,8,8,12,12,
12,12,12,12,24,24,24,48,48,4,8,16,16,16,1,1,1,3,3,6,6,6,6,6,6,6,8,8,12,12,12,
12,12,12,12,12,24,24,24,4,8,8,8,8,16,1,3,3,4,6,6,6,6,6,6,12,12,12,4,4,4,8,8,1,
3,3,4,4,1,4,1,1,1,1,1],[1,1,6,48,24,16,1,3,3,4,12,12,24,48,12,12,12,12,32,48,
48,48,16,32,32,1,3,3,6,12,6,8,12,8,6,12,12,6,12,12,24,12,24,12,24,24,24,12,24,
24,24,24,24,24,96,96,4,8,16,16,16,1,3,3,3,3,6,3,6,6,3,8,8,6,6,6,12,12,6,6,6,6,
6,6,12,6,12,6,24,24,12,12,12,12,12,24,24,24,24,24,4,8,8,8,8,16,16,16,3,4,3,3,
6,3,3,3,3,6,6,6,6,6,12,6,6,6,12,12,12,12,12,12,24,4,4,4,8,8,8,8,1,3,3,6,6,6,6,
6,6,1,4,8,3,1,1,1,1],[1,1,14,36,16,7,28,18,18,36,36,8,48,24,16,32,32,7,8,9,9,
2,12,12,2,18,24,24,36,6,6,72,12,12,48,4,8,16,16,16,1,3,3,6,9,9,9,9,18,18,18,6,
6,6,6,12,12,12,12,4,8,8,8,8,16,16,1,9,9,9,3,18,3,3,6,6,6,6,4,4,4,8,8,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,6,8,48,16,3,4,4,3,3,18,12,24,12,24,24,24,48,16,32,
32,1,9,6,6,3,8,12,6,6,6,12,12,12,12,12,12,6,12,12,12,24,6,12,12,24,24,24,12,
12,12,24,24,4,16,16,16,1,3,1,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,6,6,
12,6,6,12,6,6,6,6,12,6,6,12,6,12,12,12,12,4,8,8,16,1,3,3,3,2,6,3,6,6,6,6,3,3,
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],[1,1,14,8,
48,16,1,7,3,4,28,6,6,12,24,24,24,24,96,16,32,32,7,8,3,3,4,6,6,6,8,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,48,48,48,48,48,48,4,16,16,16,1,1,1,3,3,4,6,6,6,
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],[1,1,14,12,
48,16,7,28,6,6,12,6,6,12,12,24,24,24,8,96,24,48,16,16,16,32,32,7,8,6,3,3,6,2,
2,12,12,6,12,12,12,24,12,24,24,12,12,24,12,24,6,12,6,24,48,24,24,12,12,48,4,8,
16,16,16,32,32,1,3,3,3,6,6,3,3,3,6,6,12,6,6,6,12,6,6,6,6,6,24,6,24,6,24,12,12,
12,24,12,4,4,4,8,8,8,8,16,16,1,6,3,3,3,6,6,3,6,3,3,6,6,6,6,6,6,4,4,4,8,8,8,8,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,24,24,16,7,28,3,3,6,12,12,24,24,12,12,12,
48,16,32,32,7,8,3,6,6,3,6,6,12,6,12,12,12,12,12,12,6,12,24,12,6,12,12,12,48,
24,24,12,12,12,24,4,16,16,16,1,1,3,3,3,3,3,6,6,3,12,6,6,12,6,6,6,6,6,3,6,3,3,
12,12,6,12,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,16,1,3,3,3,6,2,6,6,6,3,6,
3,6,3,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,
2,24,48,16,1,6,12,12,24,24,32,48,16,16,16,32,32,3,4,6,6,8,8,6,12,6,12,16,12,
12,12,12,24,24,24,8,16,16,16,32,32,1,2,2,3,3,6,6,12,6,6,12,12,12,12,12,12,24,
24,24,24,4,8,8,16,16,3,6,3,3,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,3,1,
1],[1,1,2,8,24,16,4,1,6,4,12,12,24,32,16,32,32,3,6,4,4,6,6,6,8,8,12,12,12,16,
24,8,16,16,16,1,2,2,3,3,4,4,6,6,6,6,12,12,12,4,8,8,16,16,1,3,3,6,6,6,6,4,4,4,
8,8,1,3,3,4,1,1,1],[1,1,2,48,16,1,6,12,12,24,24,48,32,48,16,32,32,3,4,6,6,12,
8,8,12,18,6,16,12,24,12,12,24,24,96,8,16,16,16,1,2,2,3,3,6,6,6,12,12,6,12,12,
12,12,12,24,24,4,8,8,16,16,16,3,6,6,3,3,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,
8,3,1,1],[1,1,2,24,16,1,6,6,6,24,12,16,32,32,2,3,4,6,6,6,8,12,12,6,18,12,12,
12,24,24,16,16,16,1,2,2,3,3,6,6,6,12,12,6,12,12,12,12,12,24,24,4,8,8,16,3,3,6,
3,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,6,24,24,16,1,3,3,4,6,
6,24,12,24,12,12,12,12,32,16,16,16,1,3,3,6,12,6,8,12,8,6,12,12,6,12,12,12,12,
12,12,12,12,12,12,24,24,12,24,24,24,4,8,16,16,16,1,3,3,3,3,6,6,3,3,6,8,8,6,6,
6,12,6,12,6,6,6,6,6,12,12,6,6,24,12,24,12,12,12,24,12,24,24,24,24,4,4,4,8,8,
16,3,4,6,3,3,3,3,3,3,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,24,4,4,4,8,8,8,8,1,
3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,1,6,8,12,24,16,3,4,4,12,18,6,24,12,24,12,
12,12,8,24,48,16,32,32,1,6,3,9,6,2,8,12,2,12,6,12,24,12,6,6,24,24,24,24,12,12,
24,48,4,8,16,16,16,1,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,4,8,8,8,8,16,16,1,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,6,8,36,24,16,3,4,4,6,6,6,18,24,36,24,12,12,12,8,48,24,96,
16,16,16,32,32,1,9,3,6,6,2,8,12,2,12,6,24,12,12,12,12,12,12,12,12,12,12,12,6,
12,6,24,24,24,24,24,12,24,12,24,48,4,8,16,16,16,32,32,1,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,24,24,12,12,24,12,24,12,4,4,4,8,8,8,8,16,16,1,3,3,3,
6,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,
24,48,16,3,7,9,12,28,6,6,12,72,24,24,24,32,96,16,16,16,32,32,1,7,8,9,9,3,4,12,
6,6,18,6,6,8,24,12,12,6,12,12,12,12,12,6,36,12,16,24,24,24,24,24,24,24,24,12,
48,48,4,8,16,16,16,32,32,1,1,3,1,3,2,3,3,3,3,3,6,18,6,6,3,6,6,6,18,6,6,6,12,
12,12,6,12,6,12,12,6,12,12,12,6,24,24,24,24,12,12,12,12,24,12,12,24,12,12,4,4,
4,4,4,8,8,8,16,16,3,3,3,3,3,4,6,3,6,3,3,6,6,6,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,
6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[
1,1,6,24,24,16,1,3,3,4,6,6,24,12,24,12,12,12,12,16,32,32,1,3,3,12,6,6,12,12,
12,6,6,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,16,16,16,1,3,3,3,4,3,3,3,6,
6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,4,8,8,16,3,4,3,3,3,3,3,3,6,
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],[1,1,6,32,24,24,
16,3,3,9,16,4,6,6,12,48,24,12,12,12,12,80,96,16,16,16,32,32,1,1,3,3,3,4,6,6,
12,12,12,6,20,8,16,18,18,6,6,6,6,18,12,24,24,12,12,12,12,12,24,12,12,24,12,12,
12,24,24,24,24,24,24,24,4,8,16,16,16,32,32,1,2,3,3,3,3,3,1,3,3,1,3,3,3,3,3,3,
3,3,3,6,6,6,6,15,6,6,6,6,6,6,6,12,6,6,6,9,6,6,9,6,6,6,15,6,6,12,24,6,6,12,6,
12,6,6,6,24,6,12,6,6,6,24,24,24,24,4,4,4,4,4,8,8,8,16,16,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,6,6,3,3,6,6,3,3,3,3,6,6,6,6,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,4,4,
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,
32,24,16,3,3,9,16,4,12,12,48,12,12,12,12,80,16,32,32,1,1,3,3,3,4,6,6,6,12,12,
12,20,8,16,18,18,6,6,6,6,18,12,24,24,12,12,12,12,24,24,24,24,24,4,8,16,16,16,
1,2,3,3,3,3,3,1,3,3,1,3,3,3,3,3,3,3,3,3,6,6,15,6,6,6,6,6,6,6,6,6,12,6,6,6,6,9,
6,6,6,6,9,15,6,6,24,6,6,12,12,6,12,6,6,6,24,6,6,12,6,6,4,4,4,8,8,8,16,16,3,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,3,3,3,3,6,3,3,6,6,6,6,3,3,3,3,3,3,3,3,6,3,6,6,
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],[1,1,6,24,24,24,16,1,3,15,12,4,12,12,24,24,12,12,12,12,32,96,16,32,32,4,1,
3,9,16,6,6,12,6,8,36,12,6,6,12,24,12,24,12,12,12,12,24,24,24,24,24,24,24,4,8,
16,16,16,1,3,3,3,3,12,4,4,12,3,6,3,6,6,8,24,6,12,6,6,12,6,6,6,6,6,12,6,6,24,6,
12,12,12,12,12,12,12,12,12,24,12,12,12,4,4,4,8,8,8,16,3,6,3,3,4,3,3,3,3,6,3,6,
3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,
6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,14,24,24,16,3,7,9,12,28,12,12,72,24,24,32,16,
32,32,1,7,8,9,9,3,4,12,6,6,6,18,6,8,24,12,12,6,12,12,12,6,36,12,12,12,16,24,
12,48,48,4,8,16,16,16,1,1,3,1,3,2,3,3,3,3,3,6,6,6,18,6,3,6,6,18,6,6,6,12,12,
12,12,6,6,12,12,12,12,6,6,12,6,6,6,6,6,6,6,6,24,12,12,24,12,12,4,4,4,8,8,8,16,
16,3,3,3,3,3,4,3,6,6,6,3,3,3,3,6,6,3,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,
4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,6,24,24,16,1,3,
15,12,4,6,6,12,24,12,12,12,12,32,16,16,16,4,1,3,9,16,6,12,6,6,8,36,12,12,6,6,
24,12,24,12,12,12,12,12,12,12,12,12,12,24,4,8,16,16,16,1,3,3,3,3,12,4,4,6,12,
3,3,6,6,8,6,24,12,6,12,12,6,6,6,6,6,6,6,12,6,6,24,12,12,12,12,12,12,12,24,12,
12,12,12,4,4,4,4,4,8,16,3,3,6,3,4,6,6,3,3,3,3,3,6,3,6,6,6,6,12,6,6,6,6,6,6,6,
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,
1,2,48,16,1,6,6,6,12,24,48,16,16,16,32,32,2,3,4,6,6,6,8,6,12,6,12,12,12,24,24,
24,16,16,16,32,32,1,2,2,3,3,6,6,6,6,12,12,12,12,12,12,12,24,24,4,8,8,16,3,3,6,
3,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,6,24,16,1,3,3,4,12,12,
12,12,12,12,12,12,16,16,16,1,3,3,3,6,6,9,12,12,6,12,6,6,6,12,12,12,12,12,12,
12,12,12,12,4,16,16,16,1,3,3,3,4,6,3,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,
12,12,12,4,4,4,16,3,4,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,1,3,3,6,6,1,1,
1,4,3,1,1,1,1],[1,1,14,8,16,1,7,3,4,28,24,16,32,32,7,8,3,3,4,6,8,6,6,12,12,4,
16,16,16,1,1,1,3,6,3,6,6,6,6,6,6,4,8,8,16,1,3,3,6,6,6,6,4,4,4,1,3,3,4,1,1,1],[
1,1,2,36,24,16,3,1,3,18,18,12,12,12,12,24,16,32,24,48,16,32,32,1,3,3,3,3,6,4,
4,6,6,6,6,6,18,6,6,6,6,8,8,8,8,12,12,12,12,12,18,12,18,12,24,12,12,24,48,48,4,
16,8,16,16,1,1,1,2,3,3,3,3,6,6,6,3,6,6,6,6,6,6,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,
12,12,12,12,6,6,6,6,6,6,12,24,12,12,12,12,12,12,12,24,12,4,4,4,8,8,8,16,8,8,3,
3,3,4,3,3,3,3,6,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,4,4,4,4,
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],[1,1,2,8,24,16,4,1,6,4,
12,12,12,12,32,16,32,32,3,6,4,4,6,12,6,6,8,8,8,8,12,12,24,16,8,16,16,1,2,2,4,
4,6,3,3,6,6,6,6,6,12,12,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[
1,1,2,48,16,3,1,3,3,3,6,12,24,48,16,16,16,32,32,1,1,3,3,3,3,3,4,6,12,8,6,12,
12,12,12,6,12,12,12,12,12,16,16,16,32,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,12,6,6,6,
12,12,12,12,12,12,12,4,4,4,8,16,3,3,3,3,6,3,3,6,3,6,6,6,6,6,4,4,4,4,4,4,4,4,4,
8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,14,36,16,7,28,18,18,36,36,24,16,24,16,32,32,
7,8,9,9,6,4,4,6,18,8,8,36,18,18,72,12,12,48,4,4,16,16,16,1,1,1,2,3,3,9,9,18,
18,6,18,6,18,6,12,12,12,12,4,8,4,8,4,8,8,16,8,3,3,3,9,3,6,9,3,6,6,6,6,4,4,4,4,
4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,14,72,16,7,28,9,9,18,36,36,36,32,
144,16,16,16,32,32,7,8,1,9,3,9,4,18,6,18,6,18,8,8,8,12,36,36,12,36,36,6,12,36,
6,36,36,72,36,36,12,4,16,16,8,16,32,32,1,1,1,2,3,3,9,9,3,6,18,6,18,6,9,3,3,36,
18,18,6,36,12,6,12,18,18,6,18,12,6,6,18,12,12,24,12,12,12,12,12,24,12,4,4,4,8,
4,8,4,8,8,8,16,3,3,9,3,6,4,9,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,12,6,6,18,6,6,6,
12,4,4,4,4,4,4,8,4,8,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,14,
56,24,48,7,7,21,28,28,6,6,12,12,12,168,24,24,24,24,24,224,32,64,96,96,192,7,7,
8,2,21,21,21,28,28,6,6,6,6,42,42,42,6,56,56,8,8,8,64,84,84,12,12,12,12,12,12,
12,12,12,12,12,12,84,12,12,84,112,16,16,16,16,16,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,1,7,7,7,7,8,2,2,14,2,2,3,3,21,3,3,21,4,4,28,28,
28,28,6,6,6,6,6,6,42,6,6,6,6,42,6,42,6,6,6,6,6,6,6,6,42,6,6,42,6,6,6,56,12,12,
84,12,12,84,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,84,12,12,12,12,12,12,
12,12,84,12,12,12,12,12,12,12,84,12,24,24,24,24,24,24,24,24,24,24,168,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,168,24,24,24,24,
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,
48,48,7,7,3,21,21,3,3,3,3,3,3,21,3,3,3,28,28,6,6,6,6,6,6,6,42,6,6,6,6,42,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,56,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,
12,12,84,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,1,1,7,7,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,21,3,3,3,3,4,28,
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,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,1,1,1,2,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,1,3,3,3,3,3,3,6,6,1],[1,1,14,56,24,48,7,7,21,28,28,6,6,12,12,12,
168,24,24,24,24,24,224,32,96,192,7,7,8,21,21,21,28,28,6,6,6,42,42,42,6,56,8,
56,8,64,84,84,12,12,12,12,12,12,12,12,12,12,84,12,12,84,112,24,24,24,24,24,24,
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,
48,48,1,7,7,7,7,8,14,3,3,21,3,3,21,28,28,4,28,28,6,6,42,6,42,42,6,6,6,6,6,6,6,
42,6,42,6,56,8,8,12,12,84,12,84,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,84,12,12,12,12,12,12,12,12,
84,12,12,12,12,12,12,84,12,24,24,24,24,24,24,24,24,24,24,24,168,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,168,24,24,24,24,24,24,24,24,24,
24,24,48,48,48,48,48,48,7,7,3,21,21,3,3,3,3,3,3,21,3,3,3,28,28,4,4,6,6,6,6,6,
6,6,42,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,
56,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,
12,12,12,12,12,84,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,1,1,7,7,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,21,3,3,
3,3,4,28,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
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],[1,1,14,
24,40,48,3,7,9,12,28,6,6,12,20,20,72,40,40,24,24,24,32,32,32,64,96,32,96,192,
1,7,8,2,9,9,3,4,12,6,10,10,6,6,18,6,6,8,8,24,8,8,8,8,12,12,4,12,12,12,20,12,
12,12,20,20,12,4,36,20,20,12,16,16,16,16,16,16,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,40,24,24,24,24,24,8,24,24,24,80,80,48,
48,48,48,48,48,48,16,48,16,48,48,48,48,64,64,1,1,3,1,3,2,2,2,2,2,3,5,3,5,3,3,
4,4,6,6,6,2,6,10,6,6,6,6,10,18,6,6,6,2,10,6,6,6,6,10,18,6,10,6,6,6,6,8,8,12,4,
12,20,12,4,12,12,12,12,20,12,12,12,4,12,12,12,4,12,12,20,20,12,20,20,12,12,12,
12,12,12,12,12,4,4,12,12,12,12,12,12,12,12,12,12,12,4,12,12,4,4,12,12,4,12,12,
12,4,12,4,12,12,4,4,4,24,24,24,8,24,8,24,24,24,24,24,24,8,24,24,8,24,8,24,24,
8,24,24,8,24,24,24,24,24,24,24,8,8,8,24,24,8,24,8,8,8,8,24,24,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,16,16,16,48,16,48,48,16,16,48,16,48,48,48,48,
16,3,3,3,5,3,3,3,5,3,3,3,4,4,6,2,6,6,6,10,6,10,6,6,6,6,2,2,2,6,6,2,6,6,6,6,10,
6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,10,6,6,2,2,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,
12,4,12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,
12,12,12,12,12,12,12,12,4,12,12,4,12,12,12,4,12,4,4,12,12,12,12,12,12,12,4,4,
12,20,4,12,4,4,12,12,12,12,12,12,4,12,4,12,12,12,12,12,12,12,12,12,4,12,12,12,
12,4,12,12,4,12,12,12,4,4,4,4,12,4,12,12,4,12,4,12,12,12,12,12,12,12,12,12,12,
4,4,12,12,12,4,4,4,12,4,4,12,4,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,8,8,
24,24,8,8,8,8,8,24,8,8,8,8,8,16,16,48,48,16,1,1,1,1,2,2,2,2,2,1,3,3,1,3,5,3,3,
3,3,3,4,4,4,4,2,2,2,6,6,2,2,6,6,2,2,6,6,6,2,6,2,6,6,2,2,2,6,6,6,2,6,6,6,2,6,6,
6,6,6,6,6,2,2,2,2,6,6,2,2,12,12,4,4,4,4,12,12,12,12,12,4,12,12,12,12,12,12,12,
12,12,12,4,4,4,4,12,4,12,4,4,12,4,4,4,12,12,12,12,4,4,12,12,4,4,12,12,12,12,
12,4,12,12,4,4,4,4,12,4,12,12,4,4,12,4,4,4,4,4,12,4,4,4,4,4,4,8,8,8,8,1,1,1,1,
1,3,1,3,3,1,1,2,2,2,2,6,2,6,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,12,4,4,4,4,4,12,4,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,24,24,16,3,7,9,12,28,2,2,4,12,12,72,
24,24,8,8,8,32,32,32,64,1,7,8,9,9,3,4,12,2,6,6,6,18,6,2,8,8,24,8,12,12,12,4,4,
12,4,4,12,12,4,12,36,12,12,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,24,24,8,
24,8,48,48,16,16,16,16,16,16,16,16,16,1,1,3,1,3,2,1,3,3,3,1,3,6,6,6,6,18,6,2,
6,6,2,2,2,6,18,6,6,2,8,8,4,12,12,12,4,4,4,12,4,12,4,4,4,12,4,12,12,4,12,12,4,
4,4,4,4,4,4,12,4,4,4,12,12,4,4,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,8,24,16,
16,8,8,8,24,8,24,8,8,8,8,8,16,8,8,8,8,8,16,8,8,24,8,8,24,8,8,8,8,8,8,16,16,16,
16,16,16,3,2,3,1,3,1,1,1,3,3,1,1,2,4,4,2,2,2,2,6,4,6,6,2,2,2,6,6,4,2,6,2,2,6,
2,2,2,2,2,2,6,2,2,2,2,4,6,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
12,12,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,12,8,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,
4,4,12,4,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,1,1,2,1,1,1,1,1,1,2,1,1,3,1,3,1,1,4,4,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,6,24,24,48,5,3,11,12,4,6,6,4,20,12,24,24,8,24,24,24,
32,32,64,128,2,1,2,7,5,10,8,8,2,6,10,6,8,6,12,6,8,8,8,8,20,28,8,4,4,4,4,8,4,8,
12,12,12,16,16,12,20,16,8,8,24,8,8,8,8,16,8,8,8,8,8,16,8,8,8,24,8,24,24,16,8,
16,24,8,16,24,16,16,16,32,32,16,16,32,16,16,48,16,2,1,1,2,2,3,5,1,3,1,2,4,4,4,
8,6,4,6,6,4,2,2,4,8,6,8,2,2,4,2,2,2,6,6,2,4,8,8,8,4,8,8,4,4,8,8,4,4,12,12,12,
4,8,12,4,4,12,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,12,16,8,4,4,8,8,4,16,16,12,8,8,
8,16,8,4,8,12,4,8,8,8,4,16,24,8,16,16,16,8,8,24,8,8,8,16,8,8,16,8,16,8,8,8,16,
8,8,8,24,24,8,16,8,16,8,8,16,8,24,8,16,16,16,8,8,16,8,16,16,8,16,8,16,8,8,16,
32,16,32,16,16,16,16,16,16,1,1,1,1,2,3,1,3,1,2,1,1,3,4,4,8,2,2,4,2,2,4,4,2,4,
2,2,6,4,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,6,4,2,2,2,2,2,6,4,8,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,12,4,8,4,4,4,8,8,4,8,4,4,8,4,4,4,8,8,4,8,4,4,8,4,8,4,4,8,
4,4,8,4,8,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,4,8,4,4,4,8,
8,16,8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,16,8,8,8,8,8,16,8,8,16,16,8,8,8,8,8,8,16,
8,16,16,16,16,16,16,1,1,1,1,1,1,2,3,1,1,1,3,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,8,4,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,
4,4,4,8,8,1,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,24,40,48,5,3,11,12,4,2,2,12,
12,20,24,40,8,24,24,24,32,32,32,64,32,32,192,2,1,7,5,10,8,8,6,10,6,8,6,12,2,8,
8,8,8,8,20,28,16,4,4,4,8,8,12,12,12,8,16,20,12,16,16,8,16,8,8,16,8,8,8,8,16,8,
8,8,24,8,16,24,16,8,24,24,16,8,24,24,24,16,16,16,16,16,16,48,48,16,16,48,16,
16,16,32,16,64,64,2,1,1,2,2,1,3,1,5,3,2,4,4,4,8,2,2,8,6,4,2,4,2,8,6,4,2,6,2,4,
2,2,6,6,6,4,8,8,8,8,8,4,4,8,12,4,4,12,8,12,4,8,8,4,4,12,4,4,4,4,4,4,4,12,8,8,
8,8,4,4,4,12,16,12,4,8,8,4,8,8,12,8,16,8,16,4,8,4,8,4,4,8,4,4,16,8,4,16,24,16,
8,24,16,8,8,24,8,8,8,16,16,16,8,8,8,8,16,8,8,8,16,16,8,8,16,16,24,8,8,8,24,8,
8,16,8,16,8,8,16,16,16,16,8,8,16,8,16,16,16,16,16,32,16,16,16,16,16,16,16,16,
32,16,16,16,16,1,3,1,1,2,3,1,1,1,2,3,1,1,4,4,6,4,2,2,4,2,2,2,2,2,6,2,4,2,4,2,
6,8,4,2,2,2,2,2,2,2,2,2,6,4,2,2,4,2,2,2,2,2,2,6,6,4,4,4,8,4,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,12,4,8,4,8,8,8,4,4,4,8,4,4,4,4,8,8,4,8,4,8,8,4,4,4,8,4,8,
8,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,8,8,4,4,4,4,8,4,8,4,8,4,8,8,16,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,16,16,8,8,8,8,16,16,8,16,16,8,8,16,8,
16,16,16,16,16,1,1,1,1,3,1,1,1,2,1,1,3,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,8,8,4,8,4,4,8,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
4,8,8,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,24,24,80,3,7,9,12,28,10,10,20,
12,12,72,24,24,40,40,40,32,32,64,160,96,192,1,7,8,2,9,9,3,4,12,10,6,6,6,6,18,
6,10,8,24,8,8,8,12,12,4,20,12,20,12,20,12,20,12,12,20,4,36,12,12,12,16,16,16,
16,16,16,24,24,24,24,24,40,24,40,24,40,24,24,24,24,40,40,8,40,24,24,40,24,24,
24,24,40,24,24,24,8,8,24,24,48,48,48,48,80,48,48,48,48,48,48,48,48,48,16,80,
48,48,48,1,1,3,1,3,2,2,2,2,2,5,3,3,3,5,3,4,4,4,6,6,6,2,6,6,6,6,6,6,6,18,6,6,
10,2,6,6,10,10,10,6,18,6,6,6,6,6,10,12,4,12,12,12,12,12,12,20,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,12,12,20,12,12,12,12,12,12,4,12,12,12,12,12,12,12,
12,20,12,4,20,12,20,12,20,12,12,12,12,12,4,4,4,24,24,8,24,40,24,24,24,24,40,
24,24,24,8,8,24,40,8,24,8,24,24,24,24,24,24,24,24,8,24,24,24,24,24,8,8,8,8,8,
24,8,8,8,8,40,8,24,24,8,16,48,48,48,16,48,16,16,48,48,48,48,48,48,48,48,16,48,
48,48,48,16,48,48,48,16,16,16,16,48,48,16,48,48,48,16,3,3,5,3,5,3,3,3,3,3,3,4,
4,6,6,10,6,2,6,6,6,6,6,6,6,6,2,2,2,10,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,10,6,6,6,
6,10,6,6,6,6,2,6,6,6,6,6,2,6,6,6,2,8,8,8,8,12,12,12,12,12,4,12,12,4,12,12,12,
12,12,12,12,12,4,12,12,12,12,4,12,12,4,12,12,12,4,4,12,12,20,12,12,12,12,12,
12,4,12,12,12,12,12,12,4,4,4,12,12,12,4,4,4,12,12,4,12,4,12,12,4,12,4,12,12,
12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,4,12,12,
12,12,12,4,12,4,12,12,4,12,12,12,12,12,12,4,4,12,12,12,4,12,12,4,4,12,12,4,12,
4,4,12,4,12,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,24,24,8,24,8,8,
24,8,24,8,8,24,8,16,16,48,48,1,1,1,1,2,2,2,2,2,3,5,3,1,1,3,3,3,3,3,3,4,4,4,4,
2,2,2,6,6,2,6,6,2,2,2,6,6,6,2,2,6,2,2,2,6,2,2,6,2,6,6,6,6,6,2,6,6,6,6,2,6,6,6,
2,6,6,6,2,2,12,4,4,4,12,4,12,12,12,4,12,4,12,12,4,12,12,4,4,4,12,12,12,12,12,
12,4,12,4,12,4,4,4,4,12,4,12,4,4,12,12,12,12,4,12,4,12,4,12,12,12,12,12,4,4,4,
12,12,12,4,12,4,12,12,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,3,
3,1,1,3,2,2,2,2,6,2,2,2,2,2,6,2,2,6,6,6,2,2,2,2,2,2,2,12,4,4,4,4,12,4,4,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,24,24,16,5,3,11,12,4,6,6,20,4,12,24,24,24,8,
8,8,32,32,32,64,2,1,7,5,10,8,8,10,6,2,8,6,12,6,8,8,8,20,28,16,12,12,12,4,4,4,
8,16,12,4,16,16,8,8,8,8,8,8,16,8,8,8,8,8,16,8,8,8,16,24,8,16,16,16,16,16,16,
16,16,16,16,16,16,2,1,1,2,2,3,1,1,3,5,2,4,4,4,4,8,2,2,8,2,4,2,4,4,2,8,2,4,6,6,
6,6,4,2,2,6,6,8,8,8,8,4,4,4,4,4,4,4,12,4,4,4,8,4,4,4,12,4,4,4,4,12,12,4,8,4,4,
4,16,4,4,8,8,4,4,4,12,16,4,12,4,4,4,4,4,4,12,8,4,16,8,8,8,8,8,16,8,8,8,8,8,8,
8,8,16,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,3,1,1,1,3,1,1,2,2,3,1,1,4,4,6,2,4,
4,2,2,2,2,2,2,6,2,2,4,4,6,2,2,4,2,4,2,2,2,4,6,2,4,2,2,2,2,4,2,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,3,1,2,1,1,1,1,
3,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,8,48,1,3,15,12,4,6,6,4,12,4,
24,8,24,24,24,24,32,64,32,4,1,2,3,9,16,2,2,6,6,12,6,6,8,8,36,12,16,4,4,4,12,8,
4,8,4,4,12,8,24,4,12,24,8,8,8,8,8,8,8,16,8,8,8,8,8,16,8,8,8,24,8,8,8,16,8,8,
16,16,16,32,16,16,16,16,16,32,16,1,3,2,2,3,3,3,1,1,12,4,4,6,8,6,2,12,2,2,4,6,
4,6,2,4,2,4,6,2,2,6,2,4,8,4,8,24,4,12,4,4,4,4,4,12,4,8,4,8,4,4,4,4,4,4,12,12,
4,4,4,8,8,4,4,4,4,4,4,8,24,4,8,8,8,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,16,16,8,24,16,8,8,8,24,16,8,8,24,16,16,16,16,4,3,6,2,1,1,
3,1,2,1,1,2,4,2,4,4,4,2,4,2,2,2,2,6,2,2,2,6,2,2,4,2,2,2,2,6,2,2,2,6,4,2,2,4,4,
4,8,4,4,4,4,8,4,4,8,4,4,4,4,8,4,4,8,4,4,12,8,4,4,4,12,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,8,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,16,8,8,1,1,2,2,1,1,1,1,1,1,2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,4,2,2,
2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
4,4,4,4,4,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,1,14,24,8,48,3,7,9,12,28,6,6,12,4,4,72,8,8,24,24,24,32,96,32,64,1,7,
8,9,9,3,4,12,6,2,2,6,18,6,6,8,24,12,12,12,12,12,4,12,12,4,4,12,12,36,4,4,12,
16,8,24,24,24,8,24,24,24,8,24,8,8,8,24,8,8,24,8,48,48,16,16,48,16,16,16,48,16,
16,48,16,48,16,16,1,1,3,1,3,2,3,1,3,1,3,3,4,6,2,6,2,18,6,6,6,2,6,6,6,2,18,2,6,
6,4,12,12,4,4,12,4,4,12,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,12,4,4,4,12,4,12,12,
12,12,4,12,12,4,12,8,16,16,8,8,8,24,24,24,24,8,24,8,24,8,8,16,24,8,8,24,8,16,
8,8,24,8,8,8,8,8,24,8,8,8,8,24,8,8,24,8,16,16,16,16,16,16,3,2,3,3,1,3,1,1,1,3,
1,1,2,4,4,2,6,6,2,2,2,4,2,6,2,2,6,6,2,4,6,2,6,2,2,2,2,2,6,6,2,2,2,2,4,2,2,8,8,
4,4,4,4,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,
8,4,4,4,4,4,4,4,12,8,8,4,4,4,4,4,4,4,8,4,4,4,4,4,12,8,8,8,24,24,8,8,16,8,16,1,
1,2,1,3,1,3,1,1,1,2,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,1,1,1,1,1,1,2,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,24,24,48,1,3,15,
12,4,2,2,12,4,12,24,24,24,24,24,24,32,32,64,32,64,4,1,3,9,16,6,6,2,12,6,2,8,8,
8,36,12,8,4,4,12,8,8,4,4,12,16,24,12,4,24,16,8,8,8,16,8,8,8,8,16,8,8,8,24,8,8,
16,8,8,16,8,24,8,16,16,16,16,16,16,16,32,16,16,16,16,16,16,16,32,16,1,3,2,2,1,
1,3,3,3,12,4,4,2,2,4,2,12,2,4,2,6,8,6,6,2,4,2,4,6,2,6,6,4,8,8,24,4,12,4,4,4,4,
4,12,4,8,4,4,4,4,4,12,12,4,4,4,12,8,4,4,4,4,4,8,24,4,8,8,8,4,8,4,4,4,4,8,4,4,
4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,24,24,24,16,8,8,16,8,8,
8,16,16,16,16,16,16,16,16,16,16,16,16,16,2,3,6,2,1,1,1,1,2,3,1,4,4,6,2,2,4,2,
2,2,2,2,4,2,2,2,2,6,4,2,2,6,2,2,2,6,4,2,2,4,2,4,2,4,4,4,4,4,4,4,8,4,4,4,4,8,4,
4,4,8,4,4,4,12,4,4,8,8,4,4,4,4,4,4,12,4,4,4,8,12,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,16,16,1,1,2,
2,1,1,2,1,1,1,2,1,1,1,1,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,2,4,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,1,2,1,1,
2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,24,
24,16,1,3,15,12,4,10,10,12,20,12,24,24,8,8,8,8,32,32,4,1,2,3,9,16,6,6,10,6,12,
6,10,8,8,8,8,36,12,8,12,4,12,4,4,12,12,4,24,12,20,24,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,24,8,8,8,24,24,24,8,32,8,24,16,16,16,1,3,2,2,5,5,3,3,3,12,4,4,4,6,4,6,6,
12,2,2,2,2,6,6,6,2,6,6,2,8,8,8,4,24,4,12,4,4,12,4,12,4,8,4,12,4,12,4,4,4,4,4,
12,4,12,8,16,4,12,4,4,12,4,4,24,4,12,12,4,20,4,4,4,12,24,8,8,24,8,8,8,8,8,8,8,
24,8,8,8,8,8,32,8,24,8,8,24,24,8,32,8,8,16,16,16,16,2,3,6,3,3,5,3,3,3,4,4,4,4,
4,6,6,2,6,2,6,2,2,2,2,2,6,2,2,2,6,2,2,2,6,6,8,2,2,6,4,4,4,4,4,4,4,4,12,4,4,16,
4,12,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4,12,4,12,4,4,4,12,
12,16,4,12,4,4,8,8,8,8,8,8,24,8,8,8,8,16,1,1,1,1,2,3,1,3,1,3,2,2,3,1,2,2,2,2,
6,8,6,2,6,6,2,6,4,2,2,2,2,6,2,6,2,2,2,6,6,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,3,1,1,1,1,3,3,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,6,24,40,16,1,3,15,12,4,6,6,20,12,20,24,40,8,8,8,8,32,32,32,32,32,64,4,1,3,
9,16,10,10,6,12,6,6,8,8,8,8,8,36,12,12,12,4,12,12,4,8,24,20,12,24,16,8,8,8,8,
8,8,8,8,24,8,8,24,24,8,24,32,24,24,8,16,16,16,16,16,16,16,16,16,16,16,16,64,
64,1,3,2,2,3,3,3,5,5,12,4,4,4,2,2,6,12,2,2,2,4,2,6,6,6,6,6,6,6,8,8,8,24,4,12,
4,4,4,12,12,4,12,4,12,4,4,4,4,12,4,4,20,16,12,4,4,12,4,4,24,4,12,4,12,8,4,12,
4,8,12,24,8,8,8,24,8,8,8,8,8,8,8,8,32,8,8,8,8,24,24,8,8,8,24,8,32,24,8,16,16,
16,16,16,16,16,16,3,6,3,3,3,3,5,3,2,4,4,4,6,2,2,2,2,2,6,6,6,2,2,6,2,6,2,2,2,6,
4,6,2,2,8,2,4,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,12,4,16,4,4,4,4,
16,4,4,4,4,4,12,12,4,4,4,12,12,4,12,4,12,12,12,4,4,8,8,8,8,8,8,8,8,24,8,8,8,8,
8,8,16,1,1,1,1,2,3,3,2,3,1,2,1,1,3,2,2,2,2,2,2,2,6,6,2,2,2,6,2,6,6,8,4,2,2,2,
2,6,6,2,6,6,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,2,1,1,1,3,3,1,2,2,2,
2,2,2,2,2,2,2,2,6,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,14,56,8,16,7,7,21,28,28,2,2,4,
4,4,168,8,8,8,8,8,224,32,32,64,7,7,8,21,21,21,28,28,2,2,2,42,42,42,2,56,56,64,
84,84,4,4,4,4,4,4,4,4,4,4,84,4,4,84,112,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,16,16,16,16,16,16,16,16,16,16,16,16,16,1,7,7,7,7,8,14,1,1,21,1,1,21,28,28,
28,28,2,2,42,2,42,42,2,2,2,2,2,2,2,42,2,42,2,56,4,4,84,4,84,4,4,4,4,84,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,84,4,4,4,4,4,4,4,84,4,4,4,4,4,4,
84,4,8,8,8,8,8,8,8,8,168,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,168,8,8,
8,8,8,8,8,8,16,16,16,16,16,16,7,7,1,21,21,1,1,1,1,1,1,21,1,1,1,28,28,2,2,2,2,
2,2,42,2,2,42,2,2,2,2,2,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,2,2,2,2,56,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,84,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,7,7,1,1,1,1,1,1,1,1,1,21,1,1,1,28,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,24,8,
16,5,3,11,12,4,10,10,12,12,4,24,8,24,8,8,8,32,32,2,1,2,7,5,10,8,8,6,2,6,6,8,6,
12,10,8,8,20,28,8,12,4,12,12,4,4,4,4,16,16,4,12,16,8,8,8,8,8,8,8,8,8,8,24,8,8,
8,8,8,8,24,8,8,8,8,16,8,16,16,16,2,1,1,2,2,5,3,1,1,3,2,4,4,4,4,8,6,4,6,2,4,2,
2,4,4,8,2,8,6,6,6,4,2,2,2,6,2,8,12,8,8,4,4,4,4,4,4,4,12,4,4,4,4,12,4,8,4,4,4,
4,4,4,4,8,4,4,8,4,4,4,4,16,4,4,8,8,4,12,12,4,16,12,4,4,4,12,4,4,4,4,4,8,4,8,
16,8,8,8,16,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,3,3,1,2,2,1,
1,3,4,4,6,4,4,2,2,4,2,2,4,4,2,2,2,6,2,2,2,6,2,2,2,4,2,2,2,2,4,2,8,6,2,4,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,
1,2,1,3,1,1,1,3,1,1,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,
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],[1,1,6,24,24,64,1,3,15,
12,4,6,6,12,12,12,24,24,32,32,64,4,1,3,9,16,6,6,6,12,6,6,8,8,8,36,12,12,12,12,
12,24,12,12,24,24,24,24,24,24,24,16,32,32,64,1,3,3,3,3,3,3,12,4,4,4,6,12,6,6,
6,6,6,8,8,8,24,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,24,24,24,24,24,
24,24,16,16,16,32,32,32,3,6,3,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,4,16,16,16,32,32,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,1,14,24,24,48,64,3,7,9,12,28,6,6,12,12,
12,72,24,24,24,24,24,32,32,64,96,96,192,64,128,1,7,8,2,9,9,3,4,12,6,6,6,6,6,
18,6,6,8,24,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,16,16,16,16,
16,16,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,16,32,32,64,64,1,
1,3,1,3,2,2,2,2,2,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,16,
16,16,32,32,32,32,32,32,64,64,64,64,64,64,3,3,3,3,3,3,3,3,3,3,3,4,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,48,48,16,
16,16,32,32,32,32,32,64,64,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,
16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,8,16,16,1,1],[1,1,14,8,24,96,16,1,7,3,
4,28,12,12,24,12,12,24,24,24,48,48,48,96,192,96,96,16,16,16,32,32,32,32,7,8,3,
3,3,4,12,6,6,9,6,12,8,12,24,18,24,12,12,18,12,24,12,24,24,24,24,36,12,24,12,
48,24,48,36,48,24,12,12,24,48,24,12,24,12,12,24,36,12,12,24,48,12,12,24,12,12,
12,48,48,48,96,24,24,24,48,24,48,48,24,48,24,48,24,24,24,4,16,16,16,16,16,16,
16,32,32,32,32,1,1,1,3,3,3,3,6,4,6,3,3,6,9,6,6,6,3,12,12,6,6,6,9,6,3,6,6,6,12,
18,6,12,6,24,6,18,6,12,6,6,12,6,12,6,24,6,6,6,6,6,18,6,6,6,6,12,12,12,12,12,6,
12,6,12,6,6,12,6,6,12,48,24,12,24,12,24,12,12,12,12,48,36,12,36,24,24,12,24,
36,12,12,24,24,24,24,24,24,24,24,72,24,48,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,72,24,4,4,4,8,8,8,8,16,16,16,16,16,16,16,1,3,3,4,6,6,3,6,
3,6,9,3,3,6,3,3,3,12,3,6,3,3,6,6,9,8,12,8,6,6,6,6,6,12,12,12,6,6,6,6,6,6,6,12,
12,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,6,
6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,
12,12,12,12,36,12,12,24,12,12,12,24,24,24,1,4,4,4,4,4,4,4,8,8,8,8,16,1,3,3,3,
4,4,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
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],[1,1,14,8,48,48,16,1,7,3,4,28,6,6,12,
24,24,24,48,48,24,24,24,32,48,96,48,48,96,16,16,16,32,32,32,32,7,8,3,3,4,6,12,
12,6,6,8,8,12,12,8,12,12,24,12,12,12,12,12,12,24,24,12,12,12,24,24,12,24,24,
12,24,12,12,24,24,12,12,12,48,24,12,12,24,12,24,24,12,48,96,48,48,24,24,24,24,
24,24,24,24,24,24,48,96,96,4,8,16,16,16,16,16,16,16,32,32,32,32,1,1,1,3,3,3,3,
6,9,3,6,6,6,3,9,6,6,3,6,6,6,6,12,6,12,6,3,8,8,6,24,6,6,12,12,12,6,6,6,6,6,6,
12,12,6,24,12,12,12,6,6,6,18,6,6,6,12,12,12,6,6,6,12,6,12,12,6,6,24,24,12,24,
24,24,12,24,12,12,12,12,12,12,12,24,12,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,4,4,4,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,1,3,3,4,3,6,3,6,6,
6,3,9,6,9,6,3,3,6,12,3,3,3,3,3,6,6,6,12,6,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,18,
6,12,6,6,12,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,8,8,16,1,3,3,3,4,4,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,
1,1,1,1,1,1,1,1],[1,1,14,56,24,48,16,7,7,21,28,28,6,6,12,12,12,168,24,24,24,
24,24,224,96,192,16,16,16,32,32,32,32,7,7,8,21,21,21,28,28,6,6,6,42,42,42,6,
56,56,64,84,84,12,12,12,12,12,12,12,12,12,12,84,12,12,84,112,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,4,8,16,
16,16,16,16,16,16,32,32,32,32,1,7,7,7,7,8,14,3,3,21,3,3,21,28,28,28,28,6,6,42,
6,42,42,6,6,6,6,6,6,6,42,6,42,6,56,12,12,84,12,84,12,12,12,12,84,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,84,12,12,12,12,
12,12,12,84,12,12,12,12,84,12,24,24,24,24,24,24,168,24,24,24,24,24,24,24,24,
24,24,24,24,24,168,24,24,24,24,24,24,24,24,48,48,48,48,48,48,4,4,4,4,4,8,8,8,
8,8,16,16,16,16,16,16,16,16,16,7,7,3,21,21,3,3,3,3,3,3,21,3,3,3,28,28,6,6,6,6,
6,6,42,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,56,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,
12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,
12,12,12,84,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,7,7,3,3,3,3,3,3,3,3,3,21,
3,3,3,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,1,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,1,
1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,2,8,24,48,16,4,1,6,4,6,6,24,12,24,
48,96,16,16,16,32,32,32,32,2,3,6,4,4,6,6,6,6,8,12,12,6,12,12,18,6,18,12,24,12,
12,24,12,12,24,24,24,24,24,24,24,16,16,16,16,16,16,16,32,32,32,32,1,2,2,3,3,4,
4,6,6,6,6,6,6,12,6,12,18,12,6,6,6,12,12,6,12,12,12,24,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,24,4,8,8,16,16,16,16,16,16,16,1,3,3,6,3,3,
6,3,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,4,4,
4,4,4,4,4,8,8,8,8,8,8,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,8,8,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,8,48,48,16,4,1,6,4,12,12,24,24,24,48,32,
48,48,96,16,16,16,32,32,32,32,3,6,4,4,6,6,6,12,8,8,12,18,12,12,6,18,6,16,12,
12,24,12,12,24,24,12,12,12,24,24,24,24,24,24,96,8,16,16,16,16,16,16,16,32,32,
32,32,1,2,2,3,3,4,4,6,6,6,6,12,6,6,12,12,12,6,6,18,6,6,12,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,12,12,12,24,24,24,24,24,24,24,4,8,8,16,16,16,
16,16,16,16,16,16,1,3,3,6,3,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,8,8,16,1,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,56,7,7,21,
28,28,168,224,64,7,7,8,21,21,21,28,28,42,42,42,56,56,64,84,84,84,84,112,64,1,
7,7,7,7,8,14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,
7,7,21,21,21,28,28,42,42,42,56,84,84,84,84,8,8,7,7,21,28,8,8,1,1],[1,1,14,56,
40,80,7,7,21,28,28,10,10,20,20,20,168,40,40,40,40,40,224,32,32,64,160,32,96,
320,7,7,8,2,21,21,21,28,28,10,10,10,6,42,42,42,10,56,8,56,8,8,8,8,64,84,84,20,
20,12,20,20,20,12,20,20,20,20,20,84,20,20,84,112,16,16,16,16,16,24,24,40,24,
24,40,24,40,24,40,24,24,40,24,40,40,8,40,24,40,40,24,40,40,40,40,40,40,24,24,
40,8,24,24,40,48,48,80,80,80,48,80,80,48,80,48,48,16,80,48,16,16,80,80,80,48,
64,64,1,7,7,7,7,8,2,2,14,2,2,5,5,21,5,5,21,4,4,28,28,4,28,28,6,6,6,10,6,10,42,
6,6,6,10,42,6,42,10,10,10,6,10,10,10,10,42,6,10,42,6,6,10,56,8,8,20,20,84,20,
12,84,12,20,12,12,20,20,20,84,12,20,20,12,20,20,20,12,20,20,20,20,20,12,20,20,
20,20,12,20,20,20,20,20,20,12,20,12,12,12,84,20,20,12,20,84,20,12,20,20,12,20,
20,20,20,84,12,12,20,12,12,20,12,20,4,4,20,84,20,40,24,40,40,40,24,24,8,40,24,
24,24,24,24,40,24,8,168,24,8,24,24,24,40,40,24,8,8,24,40,24,40,24,24,24,40,40,
24,8,40,40,40,24,8,24,40,8,24,24,8,8,40,40,40,8,168,40,40,24,24,40,40,40,40,
40,24,40,16,48,48,48,16,48,16,16,48,48,80,48,48,48,48,48,16,48,48,48,80,16,16,
16,16,80,16,80,80,16,16,16,16,16,16,80,16,48,16,48,48,48,16,16,7,7,5,21,21,5,
5,5,5,5,5,21,5,5,5,28,28,4,4,6,10,10,10,6,10,10,10,42,10,6,10,6,42,10,10,10,
10,10,6,10,10,6,10,6,6,10,6,6,10,10,10,6,6,10,6,6,6,6,6,42,10,6,6,6,6,10,6,10,
10,6,10,6,10,6,10,6,6,10,6,10,6,6,6,10,6,56,8,8,8,8,12,12,12,12,12,12,20,12,
12,12,12,12,20,12,12,12,20,20,12,12,12,12,20,12,12,20,12,12,12,12,20,20,20,20,
12,12,4,12,12,20,12,20,12,12,20,12,12,20,12,20,4,4,20,20,20,20,12,12,12,4,12,
20,12,12,84,20,12,12,20,12,4,12,20,12,12,12,12,20,20,20,20,20,12,12,12,20,12,
12,12,12,12,20,12,20,20,12,20,84,12,12,20,20,20,20,12,12,4,12,20,4,20,12,12,
12,12,12,4,4,20,20,20,20,12,12,20,12,4,20,12,4,12,12,12,12,12,20,4,12,20,12,4,
20,12,84,12,12,20,20,20,12,12,12,20,20,20,12,20,4,12,12,20,4,4,84,12,12,16,8,
40,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,40,8,8,8,8,24,40,8,8,8,8,8,8,40,24,8,40,
8,24,40,24,8,8,8,40,8,24,8,8,24,40,40,40,40,8,24,24,40,8,40,40,8,8,8,40,40,24,
8,40,24,40,40,24,40,24,24,8,16,16,16,16,48,48,16,1,1,1,1,7,7,2,2,2,2,2,2,5,3,
5,5,3,3,3,3,3,3,5,5,3,5,5,5,3,3,5,21,5,3,5,5,3,4,4,28,4,4,4,4,6,6,6,2,2,6,6,
10,6,6,6,2,6,10,6,6,6,6,10,6,6,10,6,6,10,6,6,10,10,2,6,10,10,6,6,2,10,6,6,2,
10,2,10,10,10,6,6,2,6,10,6,6,10,6,10,6,10,6,10,2,10,6,6,6,10,10,6,6,10,6,6,10,
2,6,10,6,2,6,2,10,12,20,12,12,12,4,20,12,4,20,20,12,12,20,4,12,12,12,12,12,4,
20,12,4,12,4,12,12,4,12,4,12,12,12,20,12,12,4,12,20,4,12,4,4,4,20,4,4,4,4,12,
12,4,4,4,12,20,12,20,20,4,12,12,20,12,12,12,4,4,12,12,12,12,12,20,4,4,12,4,12,
4,4,4,20,12,12,12,12,20,4,20,4,20,20,12,20,12,20,4,4,12,12,20,4,12,20,20,12,
12,4,12,12,12,4,4,20,20,4,4,4,12,4,12,4,4,4,4,4,20,4,4,4,4,4,4,4,12,4,12,4,4,
8,8,8,8,40,40,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,3,3,3,3,3,3,3,5,5,1,1,3,5,3,3,5,3,
3,3,3,1,3,3,3,3,3,5,3,5,1,2,2,6,2,2,2,6,6,2,2,2,2,6,6,6,2,2,2,2,6,2,2,2,6,2,6,
6,6,6,2,2,2,2,2,2,6,2,6,10,2,6,6,10,6,6,6,2,10,2,2,2,2,6,2,2,2,6,2,6,2,6,2,10,
6,2,6,6,2,6,6,6,6,10,2,10,6,6,10,10,2,6,6,12,4,4,4,4,4,4,4,4,4,4,20,12,4,12,4,
4,4,4,4,4,4,4,4,12,4,4,20,1,1,1,1,3,1,1,3,1,1,3,1,5,3,1,3,3,1,1,1,1,1,1,1,1,3,
3,1,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,6,6,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,7,84,112,7,21,21,42,56,84,112,112,112,64,1,7,7,21,21,14,21,42,
42,21,42,42,42,42,42,28,56,112,7,21,21,21,21,21,21,42,42,42,42,42,64,28,28,28,
28,28,56,7,7,21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,7,7,1],[1,1,14,56,24,48,
64,7,7,21,28,28,6,6,12,12,12,168,24,24,24,24,24,224,32,64,96,96,192,64,128,
128,7,7,8,2,21,21,21,28,28,6,6,6,6,42,42,42,6,56,56,8,8,8,64,84,84,12,12,12,
12,12,12,12,12,12,12,12,12,84,12,12,84,112,16,16,16,16,16,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,16,32,32,64,64,64,64,1,7,7,7,7,8,2,2,
14,2,2,3,3,21,3,3,21,4,4,28,28,28,28,6,6,6,6,6,6,42,6,6,6,6,42,6,42,6,6,6,6,6,
6,6,6,42,6,6,42,6,6,6,56,12,12,84,12,12,84,12,12,12,12,12,12,84,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,
12,12,12,12,84,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,84,12,24,24,24,
24,24,24,24,24,24,24,168,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,168,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,16,16,16,32,32,32,32,32,32,32,64,64,64,
64,64,64,64,64,7,7,3,21,21,3,3,3,3,3,3,21,3,3,3,28,28,6,6,6,6,6,6,6,42,6,6,6,
6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,56,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,
12,12,12,12,12,84,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,16,16,16,16,16,16,16,16,16,32,32,32,32,32,32,32,64,64,
1,1,7,7,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,21,3,3,3,3,4,28,4,6,6,6,6,6,6,6,
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,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,8,8,16,16,16,16,32,1,1,1,2,
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,
6,6,12,12,12,12,4,4,4,4,4,8,8,8,8,8,16,16,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,
1,14,24,24,144,64,3,7,9,12,28,18,18,36,12,12,72,24,24,72,72,72,32,32,64,288,
96,192,64,64,64,128,128,1,7,8,2,9,9,3,4,12,18,6,6,6,6,18,6,18,8,24,8,8,8,12,
12,12,36,12,36,12,36,12,36,12,12,36,12,36,12,12,12,16,16,16,16,16,16,24,24,24,
24,24,72,24,72,24,72,24,24,24,24,72,72,24,72,24,24,72,24,24,24,24,72,24,24,24,
24,24,24,24,144,144,48,48,144,48,48,48,48,48,144,48,48,144,48,144,48,48,48,16,
32,32,64,64,64,64,128,128,1,1,3,1,3,2,2,2,2,2,9,3,3,3,9,3,4,4,12,6,6,6,6,6,6,
6,6,6,6,6,18,6,6,18,6,6,6,18,18,18,6,18,6,6,6,6,6,18,12,12,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,36,12,36,12,36,12,36,12,12,12,12,12,12,24,24,24,
24,72,72,24,72,24,72,24,24,24,24,24,24,72,24,24,24,24,24,24,24,72,24,24,72,24,
24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,72,24,24,72,24,48,48,48,48,48,48,
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,
48,48,48,48,16,16,16,16,16,32,32,32,32,32,32,32,64,64,64,64,64,64,64,3,3,9,3,
9,3,3,3,3,3,3,4,12,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,
6,6,6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,8,8,24,12,12,12,12,
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,
12,12,12,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,72,24,
24,24,24,24,24,48,48,48,48,16,16,16,16,16,16,16,16,16,32,32,32,32,32,32,32,32,
32,32,32,64,64,3,1,1,1,2,2,2,2,2,3,9,9,3,3,3,3,3,3,3,3,12,4,4,12,6,6,6,6,6,6,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
24,24,24,24,24,24,4,8,8,16,16,16,16,32,32,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,
8,8,8,8,8,8,8,16,16,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,1,14,24,72,48,
64,3,7,9,12,28,6,6,12,36,36,72,72,72,24,24,24,32,96,32,64,96,96,96,192,64,128,
128,1,7,8,2,9,9,3,4,12,6,18,18,6,6,18,6,6,8,24,24,8,8,24,8,12,12,12,12,12,12,
36,12,12,12,36,36,12,12,36,36,36,12,16,16,16,16,16,16,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,72,24,24,72,24,24,
144,144,48,48,48,48,48,48,48,48,48,48,48,48,48,48,192,192,16,32,32,64,64,64,
64,1,1,3,1,3,2,2,2,2,2,3,9,3,9,3,3,4,4,6,6,6,6,6,18,6,6,6,6,18,18,6,6,6,6,18,
6,6,6,6,18,18,6,18,6,6,6,6,24,24,12,12,12,36,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,36,36,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
72,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,16,16,16,
32,32,32,32,32,32,32,64,64,64,64,64,64,64,64,3,3,3,9,3,3,3,9,3,3,3,4,12,6,6,6,
6,6,18,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
18,6,6,6,6,6,6,6,6,6,6,6,6,18,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,16,16,
16,16,16,16,16,16,16,32,32,32,32,32,32,32,32,32,64,64,1,3,1,1,2,2,2,2,2,3,3,3,
3,3,9,3,9,3,3,3,4,4,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,4,8,8,16,16,16,16,32,32,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,
8,3,1,1],[1,1,14,56,24,48,64,7,7,21,28,28,6,6,12,12,12,168,24,24,24,24,24,224,
32,96,192,64,128,128,7,7,8,21,21,21,28,28,6,6,6,42,42,42,6,56,8,56,8,64,84,84,
12,12,12,12,12,12,12,12,12,12,84,12,12,84,112,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,16,32,
32,64,64,64,1,7,7,7,7,8,14,3,3,21,3,3,21,28,28,4,28,28,6,6,42,6,42,42,6,6,6,6,
6,6,6,42,6,42,6,56,8,8,12,12,84,12,84,12,12,12,12,12,84,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,84,12,12,12,12,12,12,
12,12,84,12,12,12,12,12,12,84,12,24,24,24,24,24,24,24,24,24,24,24,168,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,168,24,24,24,24,24,24,24,
24,24,24,24,48,48,48,48,48,48,16,16,16,32,32,32,32,32,64,64,64,7,7,3,21,21,3,
3,3,3,3,3,21,3,3,3,28,28,4,4,6,6,6,6,6,6,6,42,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,6,56,8,8,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,16,
16,16,16,16,16,16,16,16,32,32,32,32,32,1,1,7,7,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
21,3,3,3,3,4,28,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,4,4,4,8,8,16,16,16,32,1,1,1,2,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,
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],[1,1,6,24,24,48,64,1,3,15,
12,4,18,18,12,36,12,24,24,24,24,24,24,32,32,64,64,64,4,1,6,3,9,16,6,6,18,18,
12,6,18,8,8,24,8,36,12,24,12,12,12,12,12,12,12,12,24,12,36,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,24,48,48,48,16,32,
32,64,64,64,1,3,6,6,9,9,3,3,3,12,4,4,4,18,12,18,6,12,6,6,6,6,6,6,6,6,6,6,6,8,
8,8,12,24,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,12,12,12,12,12,12,12,24,12,12,12,12,36,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,48,24,24,24,24,24,24,24,48,24,24,48,48,48,48,16,16,
16,16,16,32,32,32,64,6,3,6,3,3,9,3,3,3,4,4,4,12,12,6,6,6,6,6,18,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,18,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,48,4,16,16,16,
16,16,16,16,16,16,32,32,32,32,32,1,3,1,1,2,3,3,3,3,3,6,6,3,3,6,6,6,6,6,12,6,6,
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,
12,12,12,12,12,12,12,12,12,4,4,4,4,4,16,16,16,32,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
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],[1,1,6,
24,72,48,64,1,3,15,12,4,6,6,36,12,36,24,72,24,24,24,24,32,32,96,96,96,192,64,
128,128,4,1,3,9,16,18,18,6,12,6,6,8,8,24,8,24,36,12,12,12,12,12,12,12,24,24,
36,12,24,48,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,72,24,48,48,48,
48,48,48,48,48,48,48,48,48,192,192,16,32,32,64,64,64,1,3,6,6,3,3,3,9,9,12,4,4,
4,6,6,6,12,6,6,6,12,6,18,6,6,6,6,6,18,8,8,8,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,36,24,12,12,12,12,12,12,24,12,12,12,12,24,12,12,12,24,
12,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,24,24,24,24,24,24,24,24,24,24,
48,24,24,48,48,48,48,48,48,48,48,16,16,16,32,32,32,32,32,64,64,64,3,6,3,3,3,3,
9,3,6,4,4,4,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,12,6,6,6,12,6,12,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,4,16,16,16,16,16,16,16,16,16,32,32,32,32,32,
1,1,3,1,2,3,3,6,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,
8,16,16,16,32,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,
4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,14,84,112,7,28,42,42,84,84,56,112,168,
112,224,224,64,7,8,21,21,14,28,28,14,42,56,56,84,42,42,168,84,84,336,28,56,28,
112,112,112,64,1,7,7,14,21,21,21,21,42,42,42,42,42,42,42,84,84,84,84,64,28,56,
28,56,56,56,28,56,112,56,112,56,7,21,21,21,21,42,21,21,42,42,42,42,64,28,28,
28,28,28,56,28,28,28,28,56,56,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,
7,8,8,8,7,7,1],[1,1,14,56,112,7,7,21,28,28,168,224,112,224,224,64,7,7,8,21,21,
21,28,28,42,42,42,56,56,64,84,84,84,84,112,28,56,112,112,112,64,1,7,7,7,7,8,
14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,64,28,28,
28,56,56,56,112,112,112,7,7,21,21,21,28,28,42,42,42,56,84,84,84,84,64,28,28,
28,28,28,28,28,28,28,56,56,56,8,8,7,7,21,28,7,28,28,28,56,8,8,1,8,8,7,7,7,8,8,
7,1,1],[1,1,14,168,112,7,28,21,21,42,84,84,84,224,336,112,112,112,224,224,64,
7,8,7,21,21,21,28,42,42,42,42,42,56,56,56,84,84,84,84,84,84,42,84,84,42,84,84,
168,84,84,84,28,112,112,56,112,224,224,64,1,7,7,14,7,21,21,21,21,42,42,42,42,
42,21,21,21,84,42,42,42,84,84,42,84,42,42,42,42,84,42,42,42,84,84,168,84,84,
84,84,84,168,84,64,28,28,28,56,28,56,28,56,56,56,112,7,21,21,21,14,28,21,42,
21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,84,42,42,42,42,42,42,84,64,7,28,
28,28,28,28,28,56,28,56,28,28,56,8,7,7,21,21,21,21,21,42,42,42,42,7,7,7,14,7,
14,28,28,28,8,21,8,7,7,7,7,7,7,14,14,8,7,7,1,1],[1,1,14,56,72,144,64,7,7,21,
28,28,18,18,36,36,36,168,72,72,72,72,72,224,32,96,192,288,96,288,576,64,64,64,
128,128,128,128,7,7,8,6,21,21,21,28,28,18,18,18,18,42,42,42,18,56,8,56,24,24,
8,24,64,84,84,36,36,36,36,36,36,36,36,36,36,36,36,84,36,36,84,112,48,48,48,48,
48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,24,72,72,72,72,72,72,72,72,
72,72,72,24,72,72,24,24,72,72,48,48,144,144,144,144,144,144,144,144,48,144,48,
144,48,48,48,144,144,144,144,192,192,16,32,32,64,64,64,64,64,64,64,128,128,
128,128,1,7,7,7,7,8,6,6,14,6,6,9,9,21,9,9,21,12,12,28,28,4,28,28,18,18,18,18,
18,18,42,18,18,18,18,42,18,42,18,18,18,18,18,18,18,18,42,18,18,42,18,18,18,56,
8,8,36,36,84,36,36,84,12,36,36,36,36,36,36,84,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,12,84,36,36,36,36,84,
36,36,36,36,12,36,36,36,36,84,36,12,36,36,12,36,36,36,12,12,36,84,36,72,24,72,
72,72,24,72,24,72,24,24,72,24,72,72,72,24,168,72,24,24,72,24,72,72,72,24,24,
72,72,72,72,72,72,24,72,72,24,24,72,72,72,72,24,24,72,24,24,72,24,24,72,72,72,
24,168,72,72,24,24,72,72,72,72,72,24,72,48,144,144,144,48,144,48,48,144,144,
144,144,144,144,144,144,48,144,144,144,144,48,48,48,48,144,48,144,144,48,48,
48,48,48,48,144,48,144,48,144,144,144,48,48,16,16,16,16,16,32,32,32,32,32,32,
32,64,64,64,64,64,64,64,64,64,64,64,7,7,9,21,21,9,9,9,9,9,9,21,9,9,9,28,28,4,
4,18,18,18,18,6,18,18,18,42,18,18,18,18,42,18,18,18,18,18,6,18,18,6,18,18,18,
18,6,18,18,18,18,18,6,18,18,18,18,6,18,42,18,18,18,18,18,18,18,18,18,18,18,6,
18,18,18,18,18,18,18,18,18,18,18,18,6,56,8,24,24,8,36,36,36,36,36,12,36,36,12,
36,36,36,36,12,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,12,36,36,36,36,36,
12,12,36,36,36,36,36,36,12,36,36,36,36,36,36,12,12,36,36,36,36,36,12,12,12,12,
36,36,36,84,36,36,12,36,36,12,36,36,36,12,12,36,36,36,36,36,36,36,36,36,36,36,
36,12,36,12,36,36,36,36,36,36,84,36,36,36,36,36,36,36,36,12,36,36,12,36,36,12,
36,36,36,12,12,36,36,36,36,36,12,36,36,12,36,36,12,36,36,36,36,36,36,12,36,36,
36,12,36,36,84,12,12,36,36,36,12,36,36,36,36,36,12,36,12,12,36,36,12,12,84,12,
36,48,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,
24,72,24,24,24,24,24,24,72,24,24,72,24,72,72,72,24,24,24,72,24,72,24,24,24,72,
72,72,72,24,24,24,72,24,72,72,24,24,24,72,72,72,24,72,24,72,72,24,72,24,24,24,
48,48,48,48,144,144,48,4,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,32,32,32,32,32,32,32,32,32,32,32,32,32,64,1,3,1,3,7,7,6,6,6,6,2,6,
9,3,9,9,9,3,3,3,9,3,9,9,9,9,9,9,9,9,9,21,9,3,9,9,9,4,12,28,12,4,4,4,18,6,18,6,
6,18,6,18,6,18,18,6,6,18,18,18,6,6,18,6,18,18,18,6,18,18,6,18,18,6,18,18,18,
18,6,6,18,18,18,6,18,6,18,18,18,18,18,6,6,18,18,6,18,18,18,18,18,18,18,6,18,
18,18,18,18,18,18,18,18,6,6,18,6,18,18,18,6,6,6,18,36,36,12,12,12,12,36,36,12,
36,36,12,12,36,12,36,36,36,12,36,12,36,36,12,36,12,36,36,12,12,12,36,36,36,36,
36,36,12,36,36,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,36,36,12,36,36,12,
12,12,36,12,12,12,12,12,36,36,12,36,36,36,12,12,36,12,36,12,12,12,36,36,36,36,
36,36,12,36,12,36,36,36,36,36,36,12,12,12,36,36,12,36,36,36,12,12,12,12,12,36,
12,12,36,36,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,72,72,24,24,24,24,24,24,24,24,4,4,4,4,4,8,8,8,8,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,32,1,3,3,1,1,2,6,3,3,
3,3,9,3,3,9,9,3,3,3,9,9,9,9,3,9,3,9,3,9,9,9,9,3,9,9,9,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,18,6,6,6,6,6,18,6,6,6,18,6,6,18,6,18,6,6,6,6,6,6,6,6,6,18,6,6,18,18,18,18,
18,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,18,18,18,18,18,6,18,18,6,18,
18,6,18,18,36,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,16,
16,1,3,3,3,9,3,3,3,3,3,3,3,9,9,3,3,9,3,3,3,3,3,3,3,3,9,3,3,3,3,9,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,14,56,72,144,64,7,7,
21,28,28,18,18,36,36,36,168,72,72,72,72,72,224,96,32,64,288,96,96,576,64,64,
64,128,128,128,128,7,7,8,2,21,21,21,28,28,18,18,18,6,42,42,42,18,56,24,56,8,8,
24,8,64,84,84,36,36,12,36,36,36,12,36,36,36,36,36,84,36,36,84,112,16,16,16,16,
16,24,24,72,24,24,72,24,72,24,72,24,24,72,24,72,72,24,72,24,72,72,24,72,72,72,
72,72,72,72,24,72,24,72,24,72,144,144,144,144,144,48,144,144,48,144,144,48,48,
144,144,48,48,144,144,144,48,192,192,16,32,32,64,64,64,64,64,64,64,64,128,128,
128,128,1,7,7,7,7,8,2,2,14,2,2,9,9,21,9,9,21,4,4,28,28,12,28,28,6,6,6,18,6,18,
42,6,6,6,18,42,6,42,18,18,18,6,18,18,18,18,42,6,18,42,6,6,18,56,24,24,36,36,
84,36,12,84,36,36,12,12,36,36,36,84,12,36,36,12,36,36,36,12,36,36,36,36,36,12,
36,36,36,36,12,36,36,36,36,36,36,12,36,12,12,36,84,36,36,12,36,84,36,12,36,36,
36,36,36,36,36,84,12,36,36,12,36,36,12,36,12,12,36,84,36,72,72,72,72,72,72,24,
24,72,72,72,24,72,24,72,24,24,168,24,24,72,24,72,72,72,24,24,24,24,72,24,72,
24,24,72,72,72,72,24,72,72,72,24,24,72,72,24,72,24,24,24,72,72,72,24,168,72,
72,72,72,72,72,72,72,72,72,72,48,48,48,48,48,48,48,48,48,48,144,48,48,48,48,
48,48,48,48,48,144,48,48,48,48,144,48,144,144,48,48,48,48,48,48,144,48,48,48,
48,48,48,48,48,16,16,16,16,16,32,32,32,32,32,32,32,32,32,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,7,7,9,21,21,9,9,9,9,9,9,21,9,9,9,28,28,12,12,6,18,18,
18,18,18,18,18,42,18,6,18,6,42,18,18,18,18,18,18,18,18,18,18,6,6,18,18,6,18,
18,18,6,18,18,6,6,6,18,6,42,18,6,6,6,6,18,6,18,18,6,18,18,18,6,18,6,6,18,6,18,
6,6,6,18,18,56,24,8,8,24,12,12,12,12,12,36,36,12,36,12,12,12,36,36,12,12,36,
36,12,12,12,12,36,12,12,36,12,12,12,36,36,36,36,36,12,36,12,12,12,36,12,36,12,
36,36,12,12,36,12,36,12,12,36,36,36,36,12,36,36,12,36,36,12,12,84,36,12,36,36,
12,12,12,36,12,36,36,12,36,36,36,36,36,12,12,12,36,12,12,36,12,36,36,12,36,36,
12,36,84,12,12,36,36,36,36,12,12,12,12,36,12,36,12,36,12,12,12,12,12,36,36,36,
36,12,36,36,12,12,36,12,12,12,12,12,12,12,36,12,12,36,12,12,36,12,84,36,36,36,
36,36,36,12,12,36,36,36,36,36,12,36,12,36,12,12,84,36,12,16,24,72,72,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,72,72,24,24,24,24,24,24,
72,72,24,72,24,24,72,24,24,24,24,72,24,24,24,24,72,72,72,72,72,24,72,72,72,24,
72,72,24,24,24,72,72,24,24,72,72,72,72,72,72,72,72,24,48,48,48,48,48,48,48,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,64,64,64,3,1,3,1,7,7,2,2,2,2,6,2,9,9,9,
9,3,9,9,9,3,9,9,9,3,9,9,9,3,3,9,21,9,9,9,9,3,12,4,28,4,12,12,12,6,18,6,6,6,6,
18,18,18,6,6,6,18,18,6,6,18,18,18,18,6,18,6,18,18,6,18,18,18,6,6,18,18,6,18,6,
18,6,6,6,18,6,18,18,18,6,6,6,18,18,6,18,18,6,18,6,18,6,18,6,18,6,6,6,18,18,6,
6,18,18,18,18,6,6,18,6,6,18,6,18,12,36,36,36,36,12,36,12,12,36,36,36,36,36,12,
12,12,12,36,12,12,36,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,36,12,
36,12,12,12,36,12,12,12,12,36,12,12,12,12,12,36,36,36,36,12,36,36,36,36,36,36,
12,12,12,12,36,12,12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,36,12,36,
36,12,36,12,36,12,12,36,12,36,12,12,36,36,36,36,12,36,36,12,12,12,36,36,12,12,
12,36,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,36,12,36,12,12,24,24,24,24,
72,72,24,24,24,24,24,24,24,24,4,8,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,32,32,32,32,32,1,1,1,3,3,6,2,9,9,9,9,3,9,9,9,9,3,3,9,
9,3,3,9,9,3,9,3,3,3,3,3,3,9,9,3,9,3,6,6,18,6,6,6,18,18,6,6,6,6,18,6,18,6,6,6,
6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,18,6,18,18,6,18,6,18,6,6,6,6,18,6,6,6,6,
18,6,6,6,6,6,18,6,18,6,18,18,6,18,18,6,6,6,6,6,18,6,18,6,18,18,18,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,36,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,16,16,16,3,1,3,3,3,3,3,9,3,3,9,3,9,
3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,3,9,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,18,18,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,3,1,1,1,1],[1,1,14,56,168,336,448,7,7,21,28,28,42,42,84,84,84,168,168,168,
168,168,168,224,224,224,448,672,672,672,1344,448,448,448,896,896,896,896,512,
7,7,8,14,21,21,21,28,28,42,42,42,42,42,42,42,42,56,56,56,56,56,56,56,64,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,112,112,112,112,112,112,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,1344,1344,
112,224,224,224,448,448,448,448,448,448,448,448,896,896,896,896,512,1,7,7,7,7,
8,14,14,14,14,14,21,21,21,21,21,21,28,28,28,28,28,28,28,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,56,56,56,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,336,336,512,112,112,112,112,112,224,
224,224,224,224,224,224,224,224,224,224,448,448,448,448,448,448,448,448,448,
448,448,448,448,448,448,448,448,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,28,
28,28,28,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,56,56,56,56,56,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,112,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,336,336,336,336,336,336,336,512,28,112,112,112,112,112,
112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,224,224,224,
224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224,
224,224,224,448,448,448,64,64,7,7,7,7,7,7,14,14,14,14,14,14,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,28,28,28,28,28,28,28,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,28,28,28,28,28,56,56,56,56,56,56,112,112,112,112,112,112,
112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,224,224,224,
224,224,224,224,64,64,1,7,7,7,7,14,14,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,64,64,64,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,56,56,
56,56,56,56,56,56,56,56,56,56,56,112,112,112,112,112,7,7,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,64,64,64,64,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,
56,56,56,56,56,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,
8,21,8,7,7,7,7,7,7,8,8,8,7,7,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,
7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,21,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,
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,
32,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
56,56,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,96,96,96,96,96,
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,
96,96,96,96,96,96,96,96,96,112,112,128,128,128,128,128,128,128,128,128,128,
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,
128,128,128,128,168,168,168,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,256,256,256,256,256,256,256,256,
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,
256,256,256,256,256,256,256,256,256,336,336,336,336,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,512,512,512,512,512,512,512,512,512,512,512,
512,512,512,512,768,768,768,768,768,768,768,896,1024,1344,1536,1536,1536,1536,
1536,1536,2688,2688,2688,3072,3072,21504],
[1472,1472,1462,1423,1277,1077,826,1470,1471,1459,1455,1453,1442,1442,1388,
1383,1383,1271,1271,1271,1202,1271,1232,1144,1148,1146,827,563,757,701,265,
826,826,826,434,437,437,434,778,1471,1470,1469,1462,1459,1459,1459,1455,1455,
1442,1438,1438,1442,1437,1436,1449,1442,1403,1408,1404,1431,1431,1418,1435,
1401,1356,1356,1354,1388,1388,1388,1345,1381,1386,1383,1383,1383,1345,1354,
1356,1354,1354,1356,1343,1343,1325,1343,1343,1326,1271,1202,1232,1271,1271,
1202,1271,1274,1202,1202,1288,1271,1271,1271,1280,1271,1189,1271,1280,1271,
1236,1274,1271,1232,1170,1201,1271,1232,1209,1288,1236,1189,1235,1280,1232,
1004,980,869,895,840,869,865,869,895,869,975,895,1009,895,1078,1089,1078,895,
865,895,839,382,383,1341,1144,1148,1146,826,826,827,826,826,826,826,826,434,
434,437,437,778,1472,1471,1470,1471,1470,1468,1462,1462,1461,1463,1463,1459,
1459,1459,1459,1459,1459,1452,1452,1455,1455,1453,1455,1455,1438,1438,1442,
1437,1442,1438,1437,1438,1438,1442,1442,1436,1438,1437,1436,1437,1436,1442,
1442,1442,1442,1438,1436,1442,1438,1436,1442,1438,1438,1403,1408,1418,1345,
1354,1356,1345,1388,1356,1383,1345,1345,1345,1345,1354,1345,1356,1345,1354,
1345,1345,1345,1397,1345,1345,1354,1345,1345,1345,1345,1345,1345,1345,1345,
1345,1345,1345,1345,1354,1356,1383,1383,1388,1345,1345,1345,1383,1356,1345,
1345,1345,1354,1356,1345,1345,1354,1354,1383,1397,1354,1345,1354,1356,1345,
1388,1354,1345,1383,1345,1345,1354,1388,1388,1354,1356,1354,1239,1235,1236,
1236,1236,1170,1280,1209,1274,1189,1209,1280,1290,1271,1280,1271,1288,1152,
1271,1274,1170,1271,1170,1274,1236,1202,1235,1213,1274,1236,1288,1236,1288,
1288,1213,1236,1236,1292,1189,1170,1236,1236,1288,1277,1274,1236,1297,1170,
1274,1189,1288,1236,1236,1236,1280,1152,1236,1236,1170,1170,1236,1236,1280,
1236,1232,1280,1236,975,895,869,869,1004,869,1078,975,869,840,865,895,869,869,
895,895,1004,895,895,839,869,1004,1089,1089,1089,869,1009,895,865,975,975,
1078,1009,1009,1004,895,1089,895,1078,839,895,840,1078,1009,778,1341,1341,
1340,1341,1339,1144,1121,1121,1146,1147,1123,1148,1143,1149,1123,1145,828,809,
808,827,826,826,803,827,826,816,820,827,806,826,826,826,826,1471,1470,1459,
1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1455,1455,1453,
1454,1438,1437,1442,1442,1441,1437,1438,1436,1437,1437,1438,1438,1442,1436,
1436,1436,1437,1437,1437,1440,1449,1436,1440,1437,1442,1438,1436,1440,1438,
1436,1436,1436,1438,1440,1436,1442,1442,1442,1441,1438,1449,1436,1438,1442,
1442,1442,1442,1442,1438,1442,1442,1437,1441,1437,1442,1438,1438,1438,1436,
1438,1437,1438,1438,1442,1437,1441,1403,1405,1431,1435,1404,1345,1345,1345,
1345,1345,1354,1345,1345,1354,1345,1345,1345,1345,1389,1345,1345,1345,1397,
1345,1345,1345,1345,1354,1345,1345,1354,1345,1345,1345,1354,1354,1345,1345,
1345,1345,1388,1392,1345,1345,1345,1345,1356,1345,1383,1345,1345,1345,1354,
1345,1345,1346,1389,1356,1356,1345,1354,1345,1354,1392,1392,1354,1354,1345,
1345,1356,1356,1345,1354,1345,1345,1355,1345,1356,1345,1383,1383,1345,1345,
1356,1345,1356,1354,1345,1345,1345,1345,1345,1345,1354,1345,1354,1345,1345,
1345,1354,1345,1345,1356,1345,1345,1354,1345,1356,1345,1345,1345,1388,1345,
1354,1388,1345,1345,1383,1345,1345,1345,1383,1349,1356,1356,1354,1356,1345,
1354,1345,1345,1388,1354,1345,1383,1345,1345,1345,1345,1345,1356,1388,1345,
1345,1345,1389,1345,1345,1356,1354,1354,1356,1356,1356,1354,1345,1345,1397,
1345,1354,1383,1356,1388,1389,1345,1354,1388,1358,1356,1383,1345,1343,1280,
1236,1170,1288,1189,1189,1235,1213,1235,1209,1280,1288,1280,1288,1213,1209,
1288,1280,1280,1236,1189,1209,1274,1213,1165,1236,1280,1274,1274,1235,1288,
1280,1236,1280,1213,1236,1274,1280,1236,1280,1209,1280,1288,1236,1288,1274,
1189,1274,1274,1236,1236,1236,1236,1235,1170,1170,1236,1274,1236,1236,1274,
1288,1288,1236,1236,1288,1274,1236,1170,1236,1236,1170,1236,1170,1170,1288,
975,1004,1009,963,895,869,1089,778,1453,1341,1341,1341,1341,1340,1340,1341,
1341,1339,1339,1341,1340,1339,1340,1339,1340,1339,1340,1340,1339,1339,1121,
1121,1144,1145,1145,1146,1149,1146,1148,1146,1143,1123,1143,1149,1123,1148,
1145,1144,1148,1144,1143,1147,1147,1147,1149,826,827,828,1401,1399,1470,1471,
1470,1471,1470,1471,1461,1462,1463,1462,1464,1463,1459,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1453,1452,1455,1452,1454,1453,1454,1436,1437,1436,
1438,1440,1436,1437,1436,1441,1442,1442,1441,1437,1436,1436,1438,1437,1437,
1436,1437,1442,1436,1442,1441,1437,1442,1440,1437,1437,1444,1438,1437,1437,
1442,1440,1440,1436,1436,1436,1441,1436,1448,1436,1436,1436,1438,1438,1438,
1437,1436,1438,1440,1437,1438,1437,1438,1436,1438,1449,1446,1449,1438,1442,
1442,1437,1437,1442,1436,1436,1441,1440,1437,1447,1442,1437,1438,1442,1441,
1442,1437,1345,1356,1389,1354,1354,1346,1356,1345,1383,1356,1356,1383,1354,
1356,1392,1345,1345,1345,1389,1345,1388,1356,1345,1383,1345,1388,1345,1345,
1346,1354,1389,1345,1345,1345,1345,1345,1345,1389,1345,1356,1392,1354,1392,
1392,1389,1345,1389,1383,1355,1388,1354,1345,1392,1388,1383,1345,1354,1354,
1356,1356,1389,1354,1354,1354,1354,1354,1354,1383,1383,1345,1345,1354,1345,
1345,1356,1349,1392,1345,1388,1345,1346,1392,1358,1356,1345,1345,1345,1345,
1345,1355,1356,1392,1356,1356,1345,1354,1345,1356,1392,1383,1354,1345,1356,
1389,1345,1356,1354,1354,1354,1355,1354,1354,1345,1349,1349,1345,1356,1355,
1358,1383,1383,1358,1345,1388,1389,1389,1358,1389,1356,1388,1388,1383,1389,
1349,1383,1388,1354,1388,1354,1346,1392,1288,1288,1280,1280,1236,1236,1274,
1280,1274,1274,1288,1280,1274,1288,1455,1454,1453,1453,1453,1431,1404,1405,
1435,1404,1405,1341,1341,1341,1343,1341,1340,1341,1341,1340,1339,1340,1340,
1341,1339,1340,1339,1339,1340,1339,1339,1339,1340,1143,1144,1145,1146,1147,
1148,1149,1401,1399,1472,1471,1471,1470,1470,1464,1461,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1442,1441,1437,1438,
1442,1441,1437,1440,1438,1441,1440,1440,1437,1442,1437,1442,1442,1440,1441,
1436,1438,1441,1441,1436,1442,1437,1442,1437,1436,1440,1440,1440,1440,1442,
1438,1437,1438,1441,1436,1441,1437,1436,1436,1438,1436,1438,1438,1437,1441,
1438,1438,1441,1441,1440,1442,1442,1436,1442,1437,1442,1440,1438,1437,1437,
1438,1437,1437,1441,1436,1436,1436,1436,1437,1440,1436,1436,1437,1436,1437,
1440,1436,1436,1345,1392,1349,1388,1392,1389,1383,1392,1389,1388,1368,1356,
1345,1389,1354,1358,1392,1383,1389,1388,1355,1388,1375,1346,1354,1383,1383,
1356,1399,1402,1401,1453,1454,1455,1455,1455,1454,1453,1455,1453,1454,1454,
1457,1455,1453,1455,1455,1454,1454,1453,1456,1454,1453,1453,1431,1435,1432,
1430,1404,1431,1434,1435,1433,1435,1404,1405,1405,1431,1339,1340,1341,1342,
1343,1470,1471,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,
1459,1459,1459,1459,1459,1459,1442,1440,1438,1440,1438,1438,1441,1442,1440,
1442,1442,1440,1436,1438,1441,1441,1436,1441,1437,1437,1399,1400,1401,1402,
1455,1453,1453,1456,1454,1454,1454,1453,1453,1454,1453,1457,1457,1457,1456,
1454,1454,1454,1455,1453,1455,1455,1455,1455,1455,1456,1453,1430,1431,1432,
1433,1434,1435,1471,1470,1459,1459,1459,1459,1459,1459,1459,1459,1459,1459,
1459,1459,1459,1470,1471,1453,1454,1455,1456,1457,1468,1459,1469,1471,1471,
1471,1470,1470,1470,1467,1468,1469,1470,1471,1472],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,7,7,1,1,
1,2,1,1,3,1,1,2,2,2,1,1,1,3,2,1,2,1,1,1,1,1,2,2,3,1,1,1,1,1,3,1,1,2,3,2,1,1,1,
1,2,2,2,2,1,1,1,1,3,1,1,1,1,3,1,3,1,1,1,3,1,1,1,3,1,3,1,3,3,3,2,3,1,1,2,1,3,2,
2,2,1,1,1,3,2,3,3,3,3,3,3,1,3,3,1,3,1,1,1,3,1,1,3,2,3,2,5,5,12,24,25,26,1,7,
27,7,1,7,7,1,7,7,7,7,1,1,2,1,2,1,1,3,3,1,1,2,1,2,2,2,1,2,1,3,2,2,1,2,2,2,1,3,
2,3,1,2,2,1,3,2,2,1,2,2,2,1,3,1,1,1,2,2,3,2,1,3,2,2,1,1,2,1,2,2,3,3,2,2,2,3,3,
3,2,1,2,1,10,2,3,3,1,1,2,2,3,2,3,3,2,3,3,3,3,3,2,3,10,2,2,2,3,3,2,1,2,2,1,3,3,
1,2,3,1,10,10,2,2,10,3,2,2,3,1,10,1,2,3,3,10,3,3,10,2,2,2,2,1,2,2,10,3,2,3,3,
2,3,3,3,3,3,1,2,3,3,10,3,1,3,10,3,2,1,3,1,2,10,2,2,3,2,2,3,1,2,2,2,2,2,3,10,1,
2,3,3,2,10,10,10,3,2,10,10,10,10,10,10,3,10,2,3,10,15,3,3,3,15,3,14,15,3,3,2,
3,3,3,3,3,15,3,3,2,3,15,5,5,5,3,16,3,2,15,15,14,16,16,15,3,5,3,14,2,3,3,14,16,
39,147,147,47,12,40,24,12,147,26,62,12,25,61,43,147,63,87,149,150,27,32,7,24,
27,32,149,24,27,26,7,2,32,7,2,2,9,2,2,2,2,1,9,9,2,2,9,9,9,2,2,1,2,9,10,2,3,9,
10,2,9,2,9,2,9,3,2,2,2,10,2,2,1,9,9,2,10,3,9,2,9,9,9,9,1,9,9,9,3,9,3,2,1,2,9,
9,9,9,3,3,3,9,2,9,10,9,10,3,2,2,9,9,9,10,9,2,3,10,2,2,12,2,3,12,9,9,9,9,9,10,
9,9,10,9,9,2,9,9,3,9,9,10,9,9,3,3,10,9,3,10,9,9,2,9,10,9,3,9,9,3,9,9,3,9,9,10,
9,2,9,9,3,10,9,9,3,2,10,10,9,2,9,10,9,9,10,10,9,9,2,10,9,9,9,9,3,9,10,9,10,10,
3,9,9,2,10,10,3,9,3,9,2,3,2,1,2,9,9,9,2,3,3,2,3,9,2,9,10,3,2,9,14,9,10,14,3,9,
10,2,9,3,2,9,10,9,2,2,9,10,2,9,3,10,3,2,3,9,9,3,3,10,14,3,3,9,1,9,9,2,10,10,
10,10,2,10,9,9,10,9,10,2,10,14,3,9,10,3,9,2,10,9,3,15,10,10,17,15,15,17,14,17,
16,15,17,12,16,14,16,16,15,15,10,15,16,15,13,8,10,14,14,14,17,10,14,10,12,13,
10,15,3,10,3,16,12,16,10,16,3,15,12,12,10,2,10,10,17,10,10,10,12,10,2,15,17,
17,10,10,2,15,10,10,10,10,10,10,10,10,10,15,15,16,8,3,3,17,39,185,12,12,147,
147,47,407,147,12,409,409,147,407,40,407,40,47,40,47,407,409,409,147,147,24,
63,420,26,43,150,149,150,61,147,417,418,147,149,420,24,25,24,417,414,414,62,
418,32,27,87,64,42,1,9,2,9,2,2,9,9,2,3,8,9,9,9,9,9,45,9,9,2,45,2,45,9,9,45,45,
45,45,45,9,2,9,9,2,2,9,12,3,2,9,41,12,41,45,10,45,9,45,45,9,45,45,9,9,45,8,45,
9,9,10,10,45,9,3,9,9,45,9,9,45,10,10,45,9,10,10,9,45,45,45,45,45,45,45,45,45,
9,9,9,9,9,10,9,9,45,45,9,10,2,9,9,45,45,45,9,9,9,10,45,3,45,9,45,45,10,45,9,2,
9,3,45,9,10,9,10,44,45,10,56,10,9,8,10,45,10,10,45,41,9,9,9,44,9,15,10,9,16,9,
13,9,9,56,45,49,9,9,9,9,9,9,8,9,10,50,10,51,51,56,9,56,10,49,15,45,3,41,12,16,
9,10,10,10,10,49,45,45,10,45,45,45,17,17,9,9,45,9,9,45,50,50,9,15,9,13,50,51,
45,9,9,9,9,9,49,9,51,45,45,9,10,9,45,50,16,10,9,45,49,9,10,10,45,45,49,45,10,
9,50,50,9,45,49,51,17,10,51,9,14,49,14,51,10,45,14,15,16,13,50,17,12,10,14,10,
14,51,75,75,68,68,10,10,68,68,68,68,75,68,68,75,453,456,779,185,779,525,185,
779,526,779,185,147,408,147,694,41,407,147,408,47,40,407,407,408,409,407,409,
409,407,409,409,409,407,417,57,420,413,414,416,418,64,42,2,167,167,41,41,166,
167,10,44,41,45,167,45,44,45,45,45,45,10,9,167,167,9,45,9,41,45,45,45,167,9,
167,45,45,167,45,45,49,178,10,51,44,179,166,45,50,178,175,175,45,9,45,41,56,
175,178,45,51,167,179,167,56,45,9,166,167,167,176,176,167,49,51,45,51,45,45,
179,166,167,45,9,9,9,50,10,167,50,44,178,45,175,56,14,167,49,44,49,45,50,45,
45,41,166,166,179,45,167,167,167,10,176,45,45,45,45,45,176,45,45,9,212,178,68,
212,208,193,212,208,68,177,45,9,208,45,176,212,75,208,206,179,206,177,175,45,
75,193,45,830,1300,829,185,1111,1110,453,1110,456,185,1110,779,1111,1111,834,
1110,185,453,453,456,456,779,832,1111,779,779,525,526,837,841,779,1115,842,
1118,838,1118,779,779,779,1115,409,407,408,871,694,166,9,175,176,167,178,178,
166,179,176,45,179,45,167,176,166,45,175,167,166,179,167,175,175,177,167,166,
178,166,45,167,177,178,179,176,208,446,193,446,193,212,450,206,446,206,208,
446,167,212,450,450,167,450,166,166,830,1400,829,1300,453,779,779,832,456,
1111,1111,1113,455,1111,1113,1313,834,1313,1321,1111,1111,1111,1110,1113,1110,
1110,1110,1110,1110,1321,779,841,1115,837,1333,1331,1118,167,166,444,444,446,
450,445,450,863,445,863,863,863,441,446,1344,1345,1113,1111,1110,1321,1313,
1152,863,1460,1345,1452,1452,1344,1451,1451,1467,1458,1460,1451,1452,1472],
[( 1,11, 4,12)( 2, 9, 6,16,14, 8, 3,10, 7,15,13, 5),( 1, 5,10, 6, 2,13,11, 4,
8, 9, 7, 3,14,12)(15,16)],
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158],[1,5,6,8,10,28,37,40,66,159],[1,4,8,9,10,31,43,68,160],[1,4,7,8,32,43,65,
161],[1,4,8,9,10,29,43,68,162],[1,3,6,8,10,23,30,33,34,66,163],[1,5,8,9,10,37,
40,42,68,164],[1,5,7,9,10,35,40,42,69,165],[1,4,6,8,10,24,43,66,166],[1,5,8,9,
10,36,39,41,68,167],[1,5,7,9,10,38,39,41,69,168],[1,2,15,19,70,169],[1,2,11,
19,70,170],[1,2,5,17,19,70,71,171],[1,2,3,4,6,11,13,16,20,23,24,52,72,74,76,
172],[1,2,6,15,20,44,79,173],[1,2,7,15,22,45,174],[1,2,6,15,20,45,79,175],[1,
2,8,15,21,44,176],[1,2,6,11,12,14,20,49,72,73,75,177],[1,2,10,15,27,44,178],[
1,2,9,15,25,45,179],[1,2,6,15,20,56,79,180],[1,2,4,5,6,12,16,17,20,24,28,58,
73,74,80,181],[1,2,3,6,13,15,20,23,47,76,79,182],[1,2,3,6,12,13,15,20,23,48,
73,76,79,183],[1,2,5,6,15,17,20,28,60,79,80,184],[1,2,5,6,15,17,20,28,61,79,
80,185],[1,2,6,15,20,51,79,186],[1,2,6,15,20,59,79,187],[1,2,6,14,15,20,57,75,
79,188],[1,2,4,6,15,16,20,24,55,74,79,189],[1,2,6,15,20,50,79,190],[1,2,4,6,
14,15,16,20,24,54,74,75,79,191],[1,2,3,5,6,13,14,17,20,23,28,62,75,76,80,
192],[1,2,5,6,11,15,17,20,28,53,72,79,80,193],[1,2,6,12,15,20,46,73,79,194],[
1,2,7,11,12,14,22,49,78,81,82,195],[1,2,3,8,13,15,21,26,30,47,77,84,85,196],[
1,2,3,4,8,11,13,16,21,26,32,52,77,87,88,197],[1,2,7,12,15,22,46,78,83,86,
198],[1,2,5,6,12,14,17,20,28,63,73,75,80,199],[1,2,3,4,5,6,13,16,17,18,20,23,
24,28,64,74,76,80,107,200],[1,2,3,4,8,11,13,16,21,30,43,52,85,87,93,201],[1,2,
5,7,12,14,17,22,35,38,63,82,86,96,202],[1,2,3,4,5,8,13,16,17,18,21,30,32,36,
37,64,85,88,94,102,106,203],[1,2,7,11,12,14,22,49,81,86,95,204],[1,2,7,14,15,
22,57,82,83,95,205],[1,2,5,7,12,14,17,22,35,38,63,78,95,96,206],[1,2,3,4,5,8,
13,16,17,18,21,26,36,37,43,64,77,93,94,98,104,207],[1,2,4,8,15,16,21,32,43,55,
84,88,93,208],[1,2,5,7,11,15,17,22,35,38,53,81,83,96,209],[1,2,5,8,11,15,17,
21,36,37,53,84,87,94,210],[1,2,5,9,12,14,17,25,39,42,63,90,92,101,211],[1,2,3,
4,5,10,13,16,17,18,27,29,31,33,34,40,41,64,89,91,97,99,100,103,105,212],[1,6,
7,8,9,10,65,66,67,68,69,213],[1,2,6,19,20,70,108,214],[1,5,6,19,28,71,108,
215],[1,2,3,4,5,11,12,13,14,15,16,17,44,46,48,49,52,53,54,57,58,60,62,63,110,
114,117,128,133,136,139,216],[1,2,3,12,13,15,44,45,46,47,48,50,51,109,110,111,
112,115,116,119,217],[1,2,3,4,5,11,12,13,14,15,16,17,18,45,47,48,49,52,53,54,
55,58,61,62,64,109,113,118,122,128,138,143,218],[1,2,3,4,5,12,13,14,15,16,17,
18,48,50,51,55,57,58,60,61,62,63,64,111,120,122,127,139,140,142,219],[1,2,3,4,
5,11,13,15,16,17,18,44,47,50,52,53,55,59,60,64,114,116,120,123,125,130,138,
220],[1,2,3,4,5,12,13,15,16,17,18,44,46,48,55,56,58,59,61,64,110,122,129,130,
132,137,141,221],[1,2,5,11,12,14,15,17,45,46,49,50,53,57,59,61,63,118,119,123,
129,133,135,140,222],[1,2,5,11,15,17,44,45,51,53,56,60,61,114,115,118,124,126,
127,137,223],[1,2,3,4,5,11,12,13,14,15,16,17,18,46,47,49,51,52,53,55,56,57,63,
64,112,121,126,133,138,141,142,224],[1,2,3,4,5,13,14,15,16,17,18,44,47,50,54,
56,57,61,62,64,116,117,121,131,137,140,143,225],[1,2,4,5,12,14,15,16,17,45,46,
50,54,55,56,58,60,63,113,119,120,124,131,136,141,226],[1,2,3,4,5,11,12,13,14,
15,16,17,48,49,50,51,52,53,54,56,58,59,62,111,123,126,128,131,132,134,227],[1,
2,3,4,5,12,13,14,15,16,17,18,46,47,51,54,58,59,60,61,62,63,64,112,125,127,129,
134,136,143,228],[1,2,3,5,12,13,14,15,17,45,47,48,56,57,59,60,62,63,109,121,
124,125,132,135,139,229],[1,2,4,14,15,16,44,45,51,54,55,57,59,113,115,117,130,
134,135,142,230],[1,2,7,8,15,21,22,65,83,84,144,231],[1,2,7,8,12,21,22,65,78,
86,144,232],[1,2,6,7,9,14,20,22,25,67,75,82,92,145,233],[1,2,3,7,8,13,21,22,
26,30,65,77,85,144,154,234],[1,2,6,7,9,12,20,22,25,67,73,78,145,235],[1,2,4,6,
8,10,16,20,21,24,27,29,31,32,66,74,88,91,146,149,236],[1,2,3,6,8,10,13,20,21,
23,26,27,66,76,77,146,151,237],[1,2,6,7,9,11,20,22,25,67,72,81,145,238],[1,2,
6,8,10,11,20,21,27,66,72,87,146,239],[1,2,7,8,11,21,22,65,81,87,144,240],[1,2,
5,7,8,17,21,22,35,36,37,38,65,94,96,144,147,148,241],[1,2,3,8,9,10,13,21,25,
26,27,33,34,68,77,89,150,152,153,242],[1,2,7,9,10,12,22,25,27,69,78,90,155,
243],[1,2,6,7,9,12,20,22,25,67,73,86,90,145,244],[1,2,4,6,8,10,16,20,21,24,27,
43,66,74,93,146,166,245],[1,2,4,7,8,16,21,22,32,43,65,88,93,144,161,246],[1,2,
7,8,14,21,22,65,82,95,144,247],[1,2,6,7,9,14,20,22,25,67,75,95,145,248],[1,2,
6,7,9,15,20,22,25,67,79,83,145,249],[1,2,6,8,10,15,20,21,27,66,79,84,146,
250],[1,2,5,6,7,9,17,20,22,25,28,35,38,39,42,67,80,96,101,145,156,157,251],[1,
2,5,6,8,10,17,20,21,27,28,36,37,40,41,66,80,94,105,146,158,159,252],[1,2,3,6,
8,10,13,20,21,23,27,30,33,34,66,76,85,89,146,163,253],[1,3,4,5,7,8,18,26,30,
32,36,38,43,65,98,102,148,154,161,254],[1,2,5,7,9,10,17,22,25,27,35,38,39,40,
41,42,69,96,101,105,155,165,168,255],[1,2,5,8,9,10,17,21,25,27,36,37,39,40,41,
42,68,94,101,105,152,164,167,256],[1,3,4,5,8,9,10,18,26,31,33,37,40,42,43,68,
99,104,150,160,164,257],[1,3,4,5,7,8,18,26,30,32,35,37,43,65,104,106,147,154,
161,258],[1,3,4,5,8,9,10,18,26,31,34,36,39,41,43,68,97,98,153,160,167,259],[1,
3,4,5,8,9,10,18,26,29,33,36,39,41,43,68,98,103,150,162,167,260],[1,3,4,5,6,8,
10,18,23,24,26,28,36,41,43,66,98,107,151,158,166,261],[1,2,4,8,9,10,16,21,25,
27,29,31,43,68,91,93,152,160,162,262],[1,3,4,5,6,8,10,18,23,24,28,29,30,31,32,
33,34,36,41,66,97,102,103,107,149,158,163,263],[1,2,7,9,10,14,22,25,27,69,92,
95,155,264],[1,3,4,5,8,9,10,18,26,29,34,37,40,42,43,68,100,104,153,162,164,
265],[1,3,4,5,6,8,10,18,23,24,28,29,30,31,32,33,34,37,40,66,99,100,106,107,
149,159,163,266],[1,3,4,5,6,8,10,18,23,24,26,28,37,40,43,66,104,107,151,159,
166,267],[1,2,15,19,50,70,169,268],[1,2,5,11,15,17,19,53,70,71,169,170,171,
269],[1,2,15,19,59,70,169,270],[1,2,5,6,11,15,17,20,28,45,53,61,72,79,80,118,
175,185,193,271],[1,2,3,6,12,13,15,20,23,44,46,48,73,76,79,110,173,183,194,
272],[1,2,3,7,12,13,15,22,45,47,48,86,109,174,273],[1,2,3,6,12,13,15,20,23,45,
47,48,73,76,79,109,175,182,183,274],[1,2,7,12,15,22,45,46,50,78,119,174,275],[
1,2,7,15,22,44,45,51,83,115,174,276],[1,2,4,6,14,15,16,20,24,45,54,55,74,75,
79,113,175,189,191,277],[1,2,3,8,13,15,21,26,44,47,50,77,116,176,278],[1,2,8,
15,21,44,45,51,84,115,176,279],[1,2,3,8,12,13,15,21,30,44,46,48,85,110,176,
280],[1,2,4,6,14,15,16,20,24,44,54,57,74,75,79,117,173,188,191,281],[1,2,5,6,
11,15,17,20,28,44,53,60,72,79,80,114,173,184,193,282],[1,2,3,10,12,13,15,27,
33,34,44,46,48,89,110,178,283],[1,2,3,9,12,13,15,25,45,47,48,90,109,179,284],[
1,2,5,6,15,17,20,28,45,56,60,79,80,124,175,180,184,285],[1,2,5,6,14,15,17,20,
28,50,57,61,75,79,80,140,185,188,190,286],[1,2,5,7,11,15,17,22,45,53,61,81,
118,174,287],[1,2,4,5,6,15,16,17,20,24,28,50,55,60,74,79,80,120,184,189,190,
288],[1,2,3,4,5,6,11,12,13,14,15,16,17,20,23,24,28,48,49,52,53,54,58,62,72,73,
74,75,76,79,80,128,172,177,181,183,191,192,193,289],[1,2,3,6,13,15,20,23,44,
47,50,76,79,116,173,182,190,290],[1,2,3,4,5,6,13,14,15,16,17,18,20,23,24,28,
47,54,61,62,64,74,75,76,79,80,107,143,182,185,191,192,200,291],[1,2,3,6,12,13,
15,20,23,46,47,51,73,76,79,112,182,186,194,292],[1,2,3,6,12,13,15,20,23,48,56,
59,73,76,79,132,180,183,187,293],[1,2,3,6,12,13,15,20,23,48,50,51,73,76,79,
111,183,186,190,294],[1,2,5,6,15,17,20,28,44,56,61,79,80,137,173,180,185,
295],[1,2,3,4,5,6,12,13,15,16,17,18,20,23,24,28,48,55,58,61,64,73,74,76,79,80,
107,122,181,183,185,189,200,296],[1,2,3,5,6,13,15,17,20,23,28,47,59,60,76,79,
80,125,182,184,187,297],[1,2,6,15,20,44,45,51,79,115,173,175,186,298],[1,2,5,
8,11,15,17,21,44,53,60,87,114,176,299],[1,2,4,5,6,12,14,15,16,17,20,24,28,46,
54,58,60,63,73,74,75,79,80,136,181,184,191,194,199,300],[1,2,4,6,12,15,16,20,
24,46,55,56,73,74,79,141,180,189,194,301],[1,2,4,6,14,15,16,20,24,51,55,57,74,
75,79,142,186,188,189,302],[1,2,4,6,15,16,20,24,44,55,59,74,79,130,173,187,
189,303],[1,2,5,6,15,17,20,28,51,60,61,79,80,127,184,185,186,304],[1,2,3,5,6,
12,13,14,15,17,20,23,28,48,57,60,62,63,73,75,76,79,80,139,183,184,188,192,199,
305],[1,2,5,6,11,15,17,20,28,51,53,56,72,79,80,126,180,186,193,306],[1,2,5,6,
12,15,17,20,28,46,59,61,73,79,80,129,185,187,194,307],[1,2,5,8,15,17,21,36,37,
44,56,61,94,137,176,308],[1,2,3,6,13,14,15,20,23,47,56,57,75,76,79,121,180,
182,188,309],[1,2,3,4,5,6,11,13,15,16,17,18,20,23,24,28,47,52,53,55,64,72,74,
76,79,80,107,138,172,182,189,193,200,310],[1,2,5,7,15,17,22,35,38,45,56,60,96,
124,174,311],[1,2,4,6,14,15,16,20,24,50,54,56,74,75,79,131,180,190,191,312],[
1,2,5,6,11,12,14,15,17,20,28,46,49,53,57,63,72,73,75,79,80,133,177,188,193,
194,199,313],[1,2,5,6,11,15,17,20,28,50,53,59,72,79,80,123,187,190,193,314],[
1,2,4,8,15,16,21,32,44,55,59,88,130,176,315],[1,2,6,12,15,20,45,46,50,73,79,
119,175,190,194,316],[1,2,6,14,15,20,45,57,59,75,79,135,175,187,188,317],[1,2,
4,6,14,15,16,20,24,51,54,59,74,75,79,134,186,187,191,318],[1,2,4,7,14,15,16,
22,45,54,55,95,113,174,319],[1,2,4,8,14,15,16,21,43,44,54,57,93,117,176,320],[
1,2,7,14,15,22,45,57,59,82,135,174,321],[1,2,5,10,15,17,27,40,41,44,56,61,105,
137,178,322],[1,2,9,14,15,25,45,57,59,92,135,179,323],[1,2,4,10,15,16,27,29,
31,44,55,59,91,130,178,324],[1,2,5,9,15,17,25,39,42,45,56,60,101,124,179,
325],[1,2,3,4,5,8,11,13,15,16,17,18,21,26,30,32,36,37,43,47,52,53,55,64,77,84,
85,87,88,93,94,98,102,104,106,138,196,197,201,203,207,208,210,326],[1,2,5,7,
11,12,14,15,17,22,35,38,46,49,53,57,63,78,81,82,83,86,95,96,133,195,198,202,
204,205,206,209,327],[1,5,6,7,8,9,10,28,36,38,39,41,65,66,67,68,69,148,157,
158,167,168,213,328],[1,5,6,7,8,9,10,28,35,37,40,42,65,66,67,68,69,147,156,
159,164,165,213,329],[1,2,6,7,8,9,10,20,21,22,25,27,65,66,67,68,69,144,145,
146,152,155,213,330],[1,3,6,7,8,9,10,23,26,30,33,34,65,66,67,68,69,150,151,
153,154,163,213,331],[1,4,6,7,8,9,10,24,29,31,32,43,65,66,67,68,69,149,160,
161,162,166,213,332],[1,2,6,15,19,20,70,79,108,169,214,333],[1,2,6,11,19,20,
70,72,108,170,214,334],[1,2,5,6,17,19,20,28,70,71,80,108,171,214,215,335],[1,
2,3,4,5,11,12,13,14,15,16,17,18,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,336],[1,2,7,8,
15,21,22,51,65,83,84,144,231,337],[1,2,3,7,8,13,15,21,22,26,30,47,65,77,83,84,
85,144,154,196,231,234,338],[1,2,7,8,12,15,21,22,46,65,78,83,84,86,144,198,
231,232,339],[1,2,6,8,10,15,20,21,27,44,66,79,146,173,176,178,340],[1,2,6,7,9,
15,20,22,25,45,67,79,145,174,175,179,341],[1,2,3,4,6,8,10,11,13,16,20,21,23,
24,26,27,29,31,32,52,66,72,74,76,77,87,88,91,146,149,151,172,197,236,237,239,
342],[1,2,6,7,9,11,12,14,20,22,25,49,67,72,73,75,78,81,82,92,145,177,195,233,
235,238,343],[1,2,7,8,15,21,22,56,65,83,84,144,231,344],[1,2,7,8,14,15,21,22,
57,65,82,83,84,95,144,205,231,247,345],[1,2,5,7,8,11,15,17,21,22,35,36,37,38,
53,65,81,83,84,87,94,96,144,147,148,209,210,231,240,241,346],[1,2,4,7,8,15,16,
21,22,32,43,55,65,83,84,88,93,144,161,208,231,246,347],[1,2,3,6,8,10,13,15,20,
21,23,26,27,30,33,34,47,66,76,77,79,84,85,89,146,151,163,182,196,237,250,253,
348],[1,2,3,4,7,8,11,13,16,21,22,26,30,32,43,52,65,77,81,85,87,88,93,144,154,
161,197,201,234,240,246,349],[1,2,3,4,5,7,8,13,16,17,18,21,22,26,30,32,35,36,
37,38,43,64,65,77,85,88,93,94,96,98,102,104,106,144,147,148,154,161,203,207,
234,241,246,254,258,350],[1,2,6,7,9,14,15,20,22,25,57,67,75,79,82,83,92,95,
145,188,205,233,248,249,351],[1,2,5,6,7,9,12,14,17,20,22,25,28,35,38,39,42,63,
67,73,75,80,82,86,90,92,96,101,145,156,157,199,202,211,233,244,251,352],[1,2,
3,4,6,8,10,11,13,16,20,21,23,24,27,30,33,34,43,52,66,72,74,76,85,87,89,93,146,
163,166,172,201,239,245,253,353],[1,2,5,6,7,9,11,15,17,20,22,25,28,35,38,39,
42,53,67,72,79,80,81,83,96,101,145,156,157,193,209,238,249,251,354],[1,2,7,8,
11,12,14,21,22,49,65,78,81,82,86,87,95,144,195,204,232,240,247,355],[1,2,6,7,
9,12,15,20,22,25,46,67,73,78,79,83,86,90,145,194,198,235,244,249,356],[1,2,6,
7,9,11,12,14,20,22,25,49,67,72,73,75,81,86,90,95,145,177,204,238,244,248,
357],[1,2,5,7,8,12,14,17,21,22,35,36,37,38,63,65,78,82,86,94,95,96,144,147,
148,202,206,232,241,247,358],[1,2,3,4,5,6,8,10,13,16,17,18,20,21,23,24,27,28,
29,30,31,32,33,34,36,37,40,41,64,66,74,76,80,85,88,89,91,94,97,99,100,102,103,
105,106,107,146,149,158,159,163,200,203,212,236,252,253,263,266,359],[1,2,4,6,
8,10,15,16,20,21,24,27,29,31,32,43,55,66,74,79,84,88,91,93,146,149,166,189,
208,236,245,250,360],[1,2,5,6,7,9,12,14,17,20,22,25,28,35,38,39,42,63,67,73,
75,78,80,95,96,101,145,156,157,199,206,235,248,251,361],[1,2,3,4,5,6,8,10,13,
16,17,18,20,21,23,24,26,27,28,36,37,40,41,43,64,66,74,76,77,80,93,94,98,104,
105,107,146,151,158,159,166,200,207,237,245,252,261,267,362],[1,2,5,6,8,10,11,
15,17,20,21,27,28,36,37,40,41,53,66,72,79,80,84,87,94,105,146,158,159,193,210,
239,250,252,363],[1,2,5,7,9,10,12,14,17,22,25,27,35,38,39,40,41,42,63,69,78,
90,92,95,96,101,105,155,165,168,206,211,243,255,264,364],[1,2,3,4,5,8,9,10,13,
16,17,18,21,25,26,27,29,31,33,34,36,37,39,40,41,42,43,64,68,77,89,91,93,94,97,
98,99,100,101,103,104,105,150,152,153,160,162,164,167,207,212,242,256,257,259,
260,262,265,365],[1,2,5,11,15,17,19,50,53,59,70,71,123,169,170,171,268,269,
270,366],[1,2,3,7,12,13,15,22,44,45,46,47,48,50,51,78,83,86,109,110,111,112,
115,116,119,174,198,217,273,275,276,367],[1,2,3,4,5,6,11,12,13,14,15,16,17,20,
23,24,28,44,46,48,49,52,53,54,57,58,60,62,63,72,73,74,75,76,79,80,110,114,117,
128,133,136,139,172,173,177,181,183,184,188,191,192,193,194,199,216,272,281,
282,289,300,305,313,368],[1,2,3,8,12,13,15,21,26,30,44,45,46,47,48,50,51,77,
84,85,109,110,111,112,115,116,119,176,196,217,278,279,280,369],[1,2,3,4,5,6,
11,12,13,14,15,16,17,18,20,23,24,28,45,47,48,49,52,53,54,55,58,61,62,64,72,73,
74,75,76,79,80,107,109,113,118,122,128,138,143,172,175,177,181,182,183,185,
189,191,192,193,200,218,271,274,277,289,291,296,310,370],[1,2,3,5,6,12,13,14,
15,17,20,23,28,45,47,48,56,57,59,60,62,63,73,75,76,79,80,109,121,124,125,132,
135,139,175,180,182,183,184,187,188,192,199,229,274,285,293,297,305,309,317,
371],[1,2,3,6,12,13,15,20,23,44,45,46,47,48,50,51,73,76,79,109,110,111,112,
115,116,119,173,175,182,183,186,190,194,217,272,274,290,292,294,298,316,372],[
1,2,3,4,5,6,11,12,13,14,15,16,17,20,23,24,28,48,49,50,51,52,53,54,56,58,59,62,
72,73,74,75,76,79,80,111,123,126,128,131,132,134,172,177,180,181,183,186,187,
190,191,192,193,227,289,293,294,306,312,314,318,373],[1,2,3,4,5,6,12,13,15,16,
17,18,20,23,24,28,44,46,48,55,56,58,59,61,64,73,74,76,79,80,107,110,122,129,
130,132,137,141,173,180,181,183,185,187,189,194,200,221,272,293,295,296,301,
303,307,374],[1,2,3,4,5,6,12,13,14,15,16,17,18,20,23,24,28,48,50,51,55,57,58,
60,61,62,63,64,73,74,75,76,79,80,107,111,120,122,127,139,140,142,181,183,184,
185,186,188,189,190,192,199,200,219,286,288,294,296,302,304,305,375],[1,2,5,6,
11,12,14,15,17,20,28,45,46,49,50,53,57,59,61,63,72,73,75,79,80,118,119,123,
129,133,135,140,175,177,185,187,188,190,193,194,199,222,271,286,307,313,314,
316,317,376],[1,2,3,4,5,6,12,13,14,15,16,17,18,20,23,24,28,46,47,51,54,58,59,
60,61,62,63,64,73,74,75,76,79,80,107,112,125,127,129,134,136,143,181,182,184,
185,186,187,191,192,194,199,200,228,291,292,297,300,304,307,318,377],[1,2,5,7,
11,12,14,15,17,22,45,46,49,50,53,57,59,61,63,78,81,82,118,119,123,129,133,135,
140,174,195,222,275,287,321,378],[1,2,3,4,5,8,11,13,15,16,17,18,21,26,32,44,
47,50,52,53,55,59,60,64,77,87,88,114,116,120,123,125,130,138,176,197,220,278,
299,315,379],[1,2,5,8,11,15,17,21,36,37,44,45,51,53,56,60,61,84,87,94,114,115,
118,124,126,127,137,176,210,223,279,299,308,380],[1,2,5,6,11,15,17,20,28,44,
45,51,53,56,60,61,72,79,80,114,115,118,124,126,127,137,173,175,180,184,185,
186,193,223,271,282,285,295,298,304,306,381],[1,2,4,5,6,12,14,15,16,17,20,24,
28,45,46,50,54,55,56,58,60,63,73,74,75,79,80,113,119,120,124,131,136,141,175,
180,181,184,189,190,191,194,199,226,277,285,288,300,301,312,316,382],[1,2,3,4,
5,6,11,12,13,14,15,16,17,18,20,23,24,28,46,47,49,51,52,53,55,56,57,63,64,72,
73,74,75,76,79,80,107,112,121,126,133,138,141,142,172,177,180,182,186,188,189,
193,194,199,200,224,292,301,302,306,309,310,313,383],[1,2,3,4,5,6,11,13,15,16,
17,18,20,23,24,28,44,47,50,52,53,55,59,60,64,72,74,76,79,80,107,114,116,120,
123,125,130,138,172,173,182,184,187,189,190,193,200,220,282,288,290,297,303,
310,314,384],[1,2,3,4,5,7,11,12,13,14,15,16,17,18,22,45,47,48,49,52,53,54,55,
58,61,62,64,81,86,95,109,113,118,122,128,138,143,174,204,218,273,287,319,
385],[1,2,3,5,7,12,13,14,15,17,22,35,38,45,47,48,56,57,59,60,62,63,82,86,96,
109,121,124,125,132,135,139,174,202,229,273,311,321,386],[1,2,4,5,7,12,14,15,
16,17,22,35,38,45,46,50,54,55,56,58,60,63,78,95,96,113,119,120,124,131,136,
141,174,206,226,275,311,319,387],[1,2,3,4,5,8,12,13,15,16,17,18,21,30,32,36,
37,44,46,48,55,56,58,59,61,64,85,88,94,102,106,110,122,129,130,132,137,141,
176,203,221,280,308,315,388],[1,2,3,4,5,6,13,14,15,16,17,18,20,23,24,28,44,47,
50,54,56,57,61,62,64,74,75,76,79,80,107,116,117,121,131,137,140,143,173,180,
182,185,188,190,191,192,200,225,281,286,290,291,295,309,312,389],[1,2,5,7,11,
15,17,22,35,38,44,45,51,53,56,60,61,81,83,96,114,115,118,124,126,127,137,174,
209,223,276,287,311,390],[1,2,3,4,5,8,11,12,13,14,15,16,17,21,30,43,44,46,48,
49,52,53,54,57,58,60,62,63,85,87,93,110,114,117,128,133,136,139,176,201,216,
280,299,320,391],[1,2,4,8,14,15,16,21,32,43,44,45,51,54,55,57,59,84,88,93,113,
115,117,130,134,135,142,176,208,230,279,315,320,392],[1,2,4,7,14,15,16,22,44,
45,51,54,55,57,59,82,83,95,113,115,117,130,134,135,142,174,205,230,276,319,
321,393],[1,2,3,4,5,8,13,14,15,16,17,18,21,26,36,37,43,44,47,50,54,56,57,61,
62,64,77,93,94,98,104,116,117,121,131,137,140,143,176,207,225,278,308,320,
394],[1,2,4,6,14,15,16,20,24,44,45,51,54,55,57,59,74,75,79,113,115,117,130,
134,135,142,173,175,186,187,188,189,191,230,277,281,298,302,303,317,318,395],[
1,2,3,4,5,10,12,13,15,16,17,18,27,29,31,33,34,40,41,44,46,48,55,56,58,59,61,
64,89,91,97,99,100,103,105,110,122,129,130,132,137,141,178,212,221,283,322,
324,396],[1,2,3,5,9,12,13,14,15,17,25,39,42,45,47,48,56,57,59,60,62,63,90,92,
101,109,121,124,125,132,135,139,179,211,229,284,323,325,397],[1,2,6,7,8,9,10,
15,20,21,22,25,27,65,66,67,68,69,79,83,84,144,145,146,152,155,213,231,249,250,
330,398],[1,2,5,6,7,8,9,10,17,20,21,22,25,27,28,35,36,37,38,39,40,41,42,65,66,
67,68,69,80,94,96,101,105,144,145,146,147,148,152,155,156,157,158,159,164,165,
167,168,213,241,251,252,255,256,328,329,330,399],[1,2,6,7,8,9,10,11,20,21,22,
25,27,65,66,67,68,69,72,81,87,144,145,146,152,155,213,238,239,240,330,400],[1,
2,3,6,7,8,9,10,13,20,21,22,23,25,26,27,30,33,34,65,66,67,68,69,76,77,85,89,
144,145,146,150,151,152,153,154,155,163,213,234,237,242,253,330,331,401],[1,2,
4,6,7,8,9,10,16,20,21,22,24,25,27,29,31,32,43,65,66,67,68,69,74,88,91,93,144,
145,146,149,152,155,160,161,162,166,213,236,245,246,262,330,332,402],[1,2,6,7,
8,9,10,12,20,21,22,25,27,65,66,67,68,69,73,78,86,90,144,145,146,152,155,213,
232,235,243,244,330,403],[1,2,6,7,8,9,10,14,20,21,22,25,27,65,66,67,68,69,75,
82,92,95,144,145,146,152,155,213,233,247,248,264,330,404],[1,3,4,5,6,7,8,9,10,
18,23,24,26,28,29,30,31,32,33,34,35,37,40,42,43,65,66,67,68,69,99,100,104,106,
107,147,149,150,151,153,154,156,159,160,161,162,163,164,165,166,213,257,258,
265,266,267,329,331,332,405],[1,3,4,5,6,7,8,9,10,18,23,24,26,28,29,30,31,32,
33,34,36,38,39,41,43,65,66,67,68,69,97,98,102,103,107,148,149,150,151,153,154,
157,158,160,161,162,163,166,167,168,213,254,259,260,261,263,328,331,332,406],[
1,2,7,15,19,22,45,70,83,169,174,407],[1,2,8,15,19,21,44,70,84,169,176,408],[1,
2,5,6,11,15,17,19,20,28,53,70,71,72,79,80,108,169,170,171,193,214,215,269,333,
334,335,409],[1,2,6,15,19,20,50,70,79,108,169,190,214,268,333,410],[1,2,6,15,
19,20,59,70,79,108,169,187,214,270,333,411],[1,2,3,7,8,12,13,15,21,22,26,30,
46,47,51,65,77,78,83,84,85,86,112,144,154,196,198,231,232,234,337,338,339,
412],[1,2,5,6,8,10,11,15,17,20,21,27,28,44,53,60,66,72,79,80,87,114,146,173,
176,178,184,193,239,282,299,340,413],[1,2,4,6,8,10,15,16,20,21,24,27,29,31,32,
44,55,59,66,74,79,88,91,130,146,149,173,176,178,187,189,236,303,315,324,340,
414],[1,2,3,6,7,9,12,13,15,20,22,23,25,45,47,48,67,73,76,79,86,90,109,145,174,
175,179,182,183,244,273,274,284,341,415],[1,2,3,6,8,10,13,15,20,21,23,26,27,
44,47,50,66,76,77,79,116,146,151,173,176,178,182,190,237,278,290,340,416],[1,
2,6,7,9,14,15,20,22,25,45,57,59,67,75,79,82,92,135,145,174,175,179,187,188,
233,317,321,323,341,417],[1,2,5,6,8,10,15,17,20,21,27,28,36,37,40,41,44,56,61,
66,79,80,94,105,137,146,158,159,173,176,178,180,185,252,295,308,322,340,418],[
1,2,4,6,7,9,14,15,16,20,22,24,25,45,54,55,67,74,75,79,95,113,145,174,175,179,
189,191,248,277,319,341,419],[1,2,5,6,7,9,11,15,17,20,22,25,28,45,53,61,67,72,
79,80,81,118,145,174,175,179,185,193,238,271,287,341,420],[1,2,4,6,8,10,14,15,
16,20,21,24,27,43,44,54,57,66,74,75,79,93,117,146,166,173,176,178,188,191,245,
281,320,340,421],[1,2,3,6,8,10,12,13,15,20,21,23,27,30,33,34,44,46,48,66,73,
76,79,85,89,110,146,163,173,176,178,183,194,253,272,280,283,340,422],[1,2,6,8,
10,15,20,21,27,44,45,51,66,79,84,115,146,173,175,176,178,186,250,279,298,340,
423],[1,2,6,7,9,15,20,22,25,44,45,51,67,79,83,115,145,173,174,175,179,186,249,
276,298,341,424],[1,2,5,6,7,9,15,17,20,22,25,28,35,38,39,42,45,56,60,67,79,80,
96,101,124,145,156,157,174,175,179,180,184,251,285,311,325,341,425],[1,2,6,7,
9,12,15,20,22,25,45,46,50,67,73,78,79,119,145,174,175,179,190,194,235,275,316,
341,426],[1,2,4,7,8,12,15,16,21,22,32,43,46,55,56,65,78,83,84,86,88,93,141,
144,161,198,208,231,232,246,339,344,347,427],[1,2,3,7,8,13,14,15,21,22,26,30,
47,56,57,65,77,82,83,84,85,95,121,144,154,196,205,231,234,247,338,344,345,
428],[1,2,5,7,8,11,15,17,21,22,35,36,37,38,51,53,56,65,81,83,84,87,94,96,126,
144,147,148,209,210,231,240,241,337,344,346,429],[1,2,4,7,8,14,15,16,21,22,32,
43,51,55,57,65,82,83,84,88,93,95,142,144,161,205,208,231,246,247,337,345,347,
430],[1,2,5,7,8,11,12,14,15,17,21,22,35,36,37,38,46,49,53,57,63,65,78,81,82,
83,84,86,87,94,95,96,133,144,147,148,195,198,202,204,205,206,209,210,231,232,
240,241,247,327,339,345,346,355,358,431],[1,2,3,4,5,7,8,11,13,15,16,17,18,21,
22,26,30,32,35,36,37,38,43,47,52,53,55,64,65,77,81,83,84,85,87,88,93,94,96,98,
102,104,106,138,144,147,148,154,161,196,197,201,203,207,208,209,210,231,234,
240,241,246,254,258,326,338,346,347,349,350,432],[1,2,3,4,5,6,8,10,11,13,15,
16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,36,37,40,41,43,47,52,53,55,64,
66,72,74,76,77,79,80,84,85,87,88,89,91,93,94,97,98,99,100,102,103,104,105,106,
107,138,146,149,151,158,159,163,166,172,182,189,193,196,197,200,201,203,207,
208,210,212,236,237,239,245,250,252,253,261,263,266,267,310,326,342,348,353,
359,360,362,363,433],[1,2,5,6,7,9,11,12,14,15,17,20,22,25,28,35,38,39,42,46,
49,53,57,63,67,72,73,75,78,79,80,81,82,83,86,90,92,95,96,101,133,145,156,157,
177,188,193,194,195,198,199,202,204,205,206,209,211,233,235,238,244,248,249,
251,313,327,343,351,352,354,356,357,361,434],[1,2,3,4,5,6,11,12,13,14,15,16,
17,18,20,23,24,28,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,72,73,74,75,76,79,80,107,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,172,173,175,177,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,199,200,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,271,272,274,277,281,282,285,286,288,289,290,291,292,293,294,295,296,
297,298,300,301,302,303,304,305,306,307,309,310,312,313,314,316,317,318,336,
368,370,371,372,373,374,375,376,377,381,382,383,384,389,395,435],[1,2,3,4,5,8,
11,12,13,14,15,16,17,18,21,26,30,32,36,37,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,77,84,85,87,88,93,94,98,102,104,106,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,176,196,197,201,203,207,
208,210,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,278,279,
280,299,308,315,320,326,336,369,379,380,388,391,392,394,436],[1,2,3,4,5,7,11,
12,13,14,15,16,17,18,22,35,38,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,78,81,82,83,86,95,96,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,174,195,198,202,204,205,206,209,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,273,275,276,287,311,319,321,327,336,
367,378,385,386,387,390,393,437],[1,2,4,6,7,8,9,10,15,16,20,21,22,24,25,27,29,
31,32,43,55,65,66,67,68,69,74,79,83,84,88,91,93,144,145,146,149,152,155,160,
161,162,166,189,208,213,231,236,245,246,249,250,262,330,332,347,360,398,402,
438],[1,2,6,7,8,9,10,15,20,21,22,25,27,56,65,66,67,68,69,79,83,84,144,145,146,
152,155,180,213,231,249,250,330,344,398,439],[1,2,3,6,7,8,9,10,13,15,20,21,22,
23,25,26,27,30,33,34,47,65,66,67,68,69,76,77,79,83,84,85,89,144,145,146,150,
151,152,153,154,155,163,182,196,213,231,234,237,242,249,250,253,330,331,338,
348,398,401,440],[1,2,5,6,7,8,9,10,11,15,17,20,21,22,25,27,28,35,36,37,38,39,
40,41,42,53,65,66,67,68,69,72,79,80,81,83,84,87,94,96,101,105,144,145,146,147,
148,152,155,156,157,158,159,164,165,167,168,193,209,210,213,231,238,239,240,
241,249,250,251,252,255,256,328,329,330,346,354,363,398,399,400,441],[1,2,6,7,
8,9,10,15,20,21,22,25,27,51,65,66,67,68,69,79,83,84,144,145,146,152,155,186,
213,231,249,250,330,337,398,442],[1,2,6,7,8,9,10,14,15,20,21,22,25,27,57,65,
66,67,68,69,75,79,82,83,84,92,95,144,145,146,152,155,188,205,213,231,233,247,
248,249,250,264,330,345,351,398,404,443],[1,2,6,7,8,9,10,12,15,20,21,22,25,27,
46,65,66,67,68,69,73,78,79,83,84,86,90,144,145,146,152,155,194,198,213,231,
232,235,243,244,249,250,330,339,356,398,403,444],[1,2,6,7,8,9,10,11,12,14,20,
21,22,25,27,49,65,66,67,68,69,72,73,75,78,81,82,86,87,90,92,95,144,145,146,
152,155,177,195,204,213,232,233,235,238,239,240,243,244,247,248,264,330,343,
355,357,400,403,404,445],[1,2,3,4,6,7,8,9,10,11,13,16,20,21,22,23,24,25,26,27,
29,30,31,32,33,34,43,52,65,66,67,68,69,72,74,76,77,81,85,87,88,89,91,93,144,
145,146,149,150,151,152,153,154,155,160,161,162,163,166,172,197,201,213,234,
236,237,238,239,240,242,245,246,253,262,330,331,332,342,349,353,400,401,402,
446],[1,2,5,6,7,8,9,10,12,14,17,20,21,22,25,27,28,35,36,37,38,39,40,41,42,63,
65,66,67,68,69,73,75,78,80,82,86,90,92,94,95,96,101,105,144,145,146,147,148,
152,155,156,157,158,159,164,165,167,168,199,202,206,211,213,232,233,235,241,
243,244,247,248,251,252,255,256,264,328,329,330,352,358,361,364,399,403,404,
447],[1,2,3,4,5,6,7,8,9,10,13,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,64,65,66,67,68,69,74,76,77,80,85,88,89,91,93,
94,96,97,98,99,100,101,102,103,104,105,106,107,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,200,
203,207,212,213,234,236,237,241,242,245,246,251,252,253,254,255,256,257,258,
259,260,261,262,263,265,266,267,328,329,330,331,332,350,359,362,365,399,401,
402,405,406,448],[1,2,7,12,15,19,22,45,46,50,70,78,83,86,119,169,174,198,268,
275,407,449],[1,2,3,8,13,15,19,21,26,30,44,47,50,70,77,84,85,116,169,176,196,
268,278,408,450],[1,2,7,14,15,19,22,45,57,59,70,82,83,95,135,169,174,205,270,
321,407,451],[1,2,4,8,15,16,19,21,32,43,44,55,59,70,84,88,93,130,169,176,208,
270,315,408,452],[1,2,5,7,11,15,17,19,22,35,38,45,53,61,70,71,81,83,96,118,
169,170,171,174,209,269,287,407,453],[1,2,5,8,11,15,17,19,21,36,37,44,53,60,
70,71,84,87,94,114,169,170,171,176,210,269,299,408,454],[1,2,5,6,11,15,17,19,
20,28,50,53,59,70,71,72,79,80,108,123,169,170,171,187,190,193,214,215,268,269,
270,314,333,334,335,366,409,410,411,455],[1,2,3,6,8,10,12,13,15,20,21,23,26,
27,30,33,34,44,45,46,47,48,50,51,66,73,76,77,79,84,85,89,109,110,111,112,115,
116,119,146,151,163,173,175,176,178,182,183,186,190,194,196,217,237,250,253,
272,274,278,279,280,283,290,292,294,298,316,340,348,369,372,416,422,423,456],[
1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,20,22,23,24,25,28,45,47,48,49,52,53,
54,55,58,61,62,64,67,72,73,74,75,76,79,80,81,86,90,95,107,109,113,118,122,128,
138,143,145,172,174,175,177,179,181,182,183,185,189,191,192,193,200,204,218,
238,244,248,271,273,274,277,284,287,289,291,296,310,319,341,357,370,385,415,
419,420,457],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,20,21,23,24,27,28,30,33,
34,43,44,46,48,49,52,53,54,57,58,60,62,63,66,72,73,74,75,76,79,80,85,87,89,93,
110,114,117,128,133,136,139,146,163,166,172,173,176,177,178,181,183,184,188,
191,192,193,194,199,201,216,239,245,253,272,280,281,282,283,289,299,300,305,
313,320,340,353,368,391,413,421,422,458],[1,2,4,5,6,7,9,12,14,15,16,17,20,22,
24,25,28,35,38,39,42,45,46,50,54,55,56,58,60,63,67,73,74,75,78,79,80,95,96,
101,113,119,120,124,131,136,141,145,156,157,174,175,179,180,181,184,189,190,
191,194,199,206,226,235,248,251,275,277,285,288,300,301,311,312,316,319,325,
341,361,382,387,419,425,426,459],[1,2,3,5,6,7,9,12,13,14,15,17,20,22,23,25,28,
35,38,39,42,45,47,48,56,57,59,60,62,63,67,73,75,76,79,80,82,86,90,92,96,101,
109,121,124,125,132,135,139,145,156,157,174,175,179,180,182,183,184,187,188,
192,199,202,211,229,233,244,251,273,274,284,285,293,297,305,309,311,317,321,
323,325,341,352,371,386,397,415,417,425,460],[1,2,3,4,5,6,8,10,12,13,15,16,17,
18,20,21,23,24,27,28,29,30,31,32,33,34,36,37,40,41,44,46,48,55,56,58,59,61,64,
66,73,74,76,79,80,85,88,89,91,94,97,99,100,102,103,105,106,107,110,122,129,
130,132,137,141,146,149,158,159,163,173,176,178,180,181,183,185,187,189,194,
200,203,212,221,236,252,253,263,266,272,280,283,293,295,296,301,303,307,308,
315,322,324,340,359,374,388,396,414,418,422,461],[1,2,5,6,8,10,11,15,17,20,21,
27,28,36,37,40,41,44,45,51,53,56,60,61,66,72,79,80,84,87,94,105,114,115,118,
124,126,127,137,146,158,159,173,175,176,178,180,184,185,186,193,210,223,239,
250,252,271,279,282,285,295,298,299,304,306,308,322,340,363,380,381,413,418,
423,462],[1,2,3,6,7,9,12,13,15,20,22,23,25,44,45,46,47,48,50,51,67,73,76,78,
79,83,86,90,109,110,111,112,115,116,119,145,173,174,175,179,182,183,186,190,
194,198,217,235,244,249,272,273,274,275,276,284,290,292,294,298,316,341,356,
367,372,415,424,426,463],[1,2,5,6,7,9,11,15,17,20,22,25,28,35,38,39,42,44,45,
51,53,56,60,61,67,72,79,80,81,83,96,101,114,115,118,124,126,127,137,145,156,
157,173,174,175,179,180,184,185,186,193,209,223,238,249,251,271,276,282,285,
287,295,298,304,306,311,325,341,354,381,390,420,424,425,464],[1,2,3,4,5,6,8,
10,13,14,15,16,17,18,20,21,23,24,26,27,28,36,37,40,41,43,44,47,50,54,56,57,61,
62,64,66,74,75,76,77,79,80,93,94,98,104,105,107,116,117,121,131,137,140,143,
146,151,158,159,166,173,176,178,180,182,185,188,190,191,192,200,207,225,237,
245,252,261,267,278,281,286,290,291,295,308,309,312,320,322,340,362,389,394,
416,418,421,465],[1,2,4,6,8,10,14,15,16,20,21,24,27,29,31,32,43,44,45,51,54,
55,57,59,66,74,75,79,84,88,91,93,113,115,117,130,134,135,142,146,149,166,173,
175,176,178,186,187,188,189,191,208,230,236,245,250,277,279,281,298,302,303,
315,317,318,320,324,340,360,392,395,414,421,423,466],[1,2,4,6,7,9,14,15,16,20,
22,24,25,44,45,51,54,55,57,59,67,74,75,79,82,83,92,95,113,115,117,130,134,135,
142,145,173,174,175,179,186,187,188,189,191,205,230,233,248,249,276,277,281,
298,302,303,317,318,319,321,323,341,351,393,395,417,419,424,467],[1,2,5,6,7,9,
11,12,14,15,17,20,22,25,28,45,46,49,50,53,57,59,61,63,67,72,73,75,78,79,80,81,
82,92,118,119,123,129,133,135,140,145,174,175,177,179,185,187,188,190,193,194,
195,199,222,233,235,238,271,275,286,287,307,313,314,316,317,321,323,341,343,
376,378,417,420,426,468],[1,2,3,4,5,6,8,10,11,13,15,16,17,18,20,21,23,24,26,
27,28,29,31,32,44,47,50,52,53,55,59,60,64,66,72,74,76,77,79,80,87,88,91,107,
114,116,120,123,125,130,138,146,149,151,172,173,176,178,182,184,187,189,190,
193,197,200,220,236,237,239,278,282,288,290,297,299,303,310,314,315,324,340,
342,379,384,413,414,416,469],[1,2,3,4,5,7,8,11,12,13,14,15,16,17,18,21,22,26,
30,32,35,36,37,38,43,46,47,49,51,52,53,55,56,57,63,64,65,77,78,81,82,83,84,85,
86,87,88,93,94,95,96,98,102,104,106,112,121,126,133,138,141,142,144,147,148,
154,161,195,196,197,198,201,202,203,204,205,206,207,208,209,210,224,231,232,
234,240,241,246,247,254,258,326,327,337,338,339,344,345,346,347,349,350,355,
358,412,427,428,429,430,431,432,470],[1,2,6,8,10,15,19,20,21,27,44,66,70,79,
84,108,146,169,173,176,178,214,250,333,340,408,471],[1,2,6,7,9,15,19,20,22,25,
45,67,70,79,83,108,145,169,174,175,179,214,249,333,341,407,472],[1,2,4,6,7,8,
9,10,14,15,16,20,21,22,24,25,27,29,31,32,43,51,55,57,65,66,67,68,69,74,75,79,
82,83,84,88,91,92,93,95,142,144,145,146,149,152,155,160,161,162,166,186,188,
189,205,208,213,231,233,236,245,246,247,248,249,250,262,264,302,330,332,337,
345,347,351,360,398,402,404,430,438,442,443,473],[1,2,4,6,7,8,9,10,12,15,16,
20,21,22,24,25,27,29,31,32,43,46,55,56,65,66,67,68,69,73,74,78,79,83,84,86,88,
90,91,93,141,144,145,146,149,152,155,160,161,162,166,180,189,194,198,208,213,
231,232,235,236,243,244,245,246,249,250,262,301,330,332,339,344,347,356,360,
398,402,403,427,438,439,444,474],[1,2,5,6,7,8,9,10,11,12,14,15,17,20,21,22,25,
27,28,35,36,37,38,39,40,41,42,46,49,53,57,63,65,66,67,68,69,72,73,75,78,79,80,
81,82,83,84,86,87,90,92,94,95,96,101,105,133,144,145,146,147,148,152,155,156,
157,158,159,164,165,167,168,177,188,193,194,195,198,199,202,204,205,206,209,
210,211,213,231,232,233,235,238,239,240,241,243,244,247,248,249,250,251,252,
255,256,264,313,327,328,329,330,339,343,345,346,351,352,354,355,356,357,358,
361,363,364,398,399,400,403,404,431,434,441,443,444,445,447,475],[1,2,5,6,7,8,
9,10,11,15,17,20,21,22,25,27,28,35,36,37,38,39,40,41,42,51,53,56,65,66,67,68,
69,72,79,80,81,83,84,87,94,96,101,105,126,144,145,146,147,148,152,155,156,157,
158,159,164,165,167,168,180,186,193,209,210,213,231,238,239,240,241,249,250,
251,252,255,256,306,328,329,330,337,344,346,354,363,398,399,400,429,439,441,
442,476],[1,2,3,4,5,6,7,8,9,10,11,13,15,16,17,18,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,47,52,53,55,64,65,66,67,68,69,72,
74,76,77,79,80,81,83,84,85,87,88,89,91,93,94,96,97,98,99,100,101,102,103,104,
105,106,107,138,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,172,182,189,193,196,197,200,201,203,
207,208,209,210,212,213,231,234,236,237,238,239,240,241,242,245,246,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,265,266,267,310,326,328,
329,330,331,332,338,342,346,347,348,349,350,353,354,359,360,362,363,365,398,
399,400,401,402,405,406,432,433,438,440,441,446,448,477],[1,2,3,6,7,8,9,10,13,
14,15,20,21,22,23,25,26,27,30,33,34,47,56,57,65,66,67,68,69,75,76,77,79,82,83,
84,85,89,92,95,121,144,145,146,150,151,152,153,154,155,163,180,182,188,196,
205,213,231,233,234,237,242,247,248,249,250,253,264,309,330,331,338,344,345,
348,351,398,401,404,428,439,440,443,478],[1,2,3,6,7,8,9,10,12,13,15,20,21,22,
23,25,26,27,30,33,34,46,47,51,65,66,67,68,69,73,76,77,78,79,83,84,85,86,89,90,
112,144,145,146,150,151,152,153,154,155,163,182,186,194,196,198,213,231,232,
234,235,237,242,243,244,249,250,253,292,330,331,337,338,339,348,356,398,401,
403,412,440,442,444,479],[1,2,3,4,5,8,11,13,15,16,17,18,19,21,26,30,32,36,37,
43,44,47,50,52,53,55,59,60,64,70,71,77,84,85,87,88,93,94,98,102,104,106,114,
116,120,123,125,130,138,169,170,171,176,196,197,201,203,207,208,210,220,268,
269,270,278,299,315,326,366,379,408,450,452,454,480],[1,2,5,7,11,12,14,15,17,
19,22,35,38,45,46,49,50,53,57,59,61,63,70,71,78,81,82,83,86,95,96,118,119,123,
129,133,135,140,169,170,171,174,195,198,202,204,205,206,209,222,268,269,270,
275,287,321,327,366,378,407,449,451,453,481],[1,2,3,4,5,6,7,9,11,12,13,14,15,
16,17,18,20,22,23,24,25,28,35,38,39,42,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,67,72,73,74,75,76,78,79,80,81,82,83,86,90,92,95,96,
101,107,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,145,
156,157,172,173,174,175,177,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,198,199,200,202,204,205,206,209,211,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,233,235,238,244,248,249,251,271,272,
273,274,275,276,277,281,282,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,300,301,302,303,304,305,306,307,309,310,311,312,313,314,316,317,
318,319,321,323,325,327,336,341,343,351,352,354,356,357,361,367,368,370,371,
372,373,374,375,376,377,378,381,382,383,384,385,386,387,389,390,393,395,397,
415,417,419,420,424,425,426,434,435,437,457,459,460,463,464,467,468,482],[1,2,
3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,
36,37,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
66,72,73,74,75,76,77,79,80,84,85,87,88,89,91,93,94,97,98,99,100,102,103,104,
105,106,107,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
146,149,151,158,159,163,166,172,173,175,176,177,178,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,196,197,199,200,201,203,207,208,210,212,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,236,237,239,245,
250,252,253,261,263,266,267,271,272,274,277,278,279,280,281,282,283,285,286,
288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,312,313,314,315,316,317,318,320,322,324,326,336,340,342,348,
353,359,360,362,363,368,369,370,371,372,373,374,375,376,377,379,380,381,382,
383,384,388,389,391,392,394,395,396,413,414,416,418,421,422,423,433,435,436,
456,458,461,462,465,466,469,483],[1,2,7,8,15,19,21,22,44,45,51,65,70,83,84,
115,144,169,174,176,231,276,279,337,407,408,484],[1,2,3,6,8,10,13,15,19,20,21,
23,26,27,30,33,34,44,47,50,66,70,76,77,79,84,85,89,108,116,146,151,163,169,
173,176,178,182,190,196,214,237,250,253,268,278,290,333,340,348,408,410,416,
450,471,485],[1,2,4,6,8,10,15,16,19,20,21,24,27,29,31,32,43,44,55,59,66,70,74,
79,84,88,91,93,108,130,146,149,166,169,173,176,178,187,189,208,214,236,245,
250,270,303,315,324,333,340,360,408,411,414,452,471,486],[1,2,5,6,8,10,11,15,
17,19,20,21,27,28,36,37,40,41,44,53,60,66,70,71,72,79,80,84,87,94,105,108,114,
146,158,159,169,170,171,173,176,178,184,193,210,214,215,239,250,252,269,282,
299,333,334,335,340,363,408,409,413,454,471,487],[1,2,6,7,9,12,15,19,20,22,25,
45,46,50,67,70,73,78,79,83,86,90,108,119,145,169,174,175,179,190,194,198,214,
235,244,249,268,275,316,333,341,356,407,410,426,449,472,488],[1,2,6,7,9,14,15,
19,20,22,25,45,57,59,67,70,75,79,82,83,92,95,108,135,145,169,174,175,179,187,
188,205,214,233,248,249,270,317,321,323,333,341,351,407,411,417,451,472,489],[
1,2,5,6,7,9,11,15,17,19,20,22,25,28,35,38,39,42,45,53,61,67,70,71,72,79,80,81,
83,96,101,108,118,145,156,157,169,170,171,174,175,179,185,193,209,214,215,238,
249,251,269,271,287,333,334,335,341,354,407,409,420,453,472,490],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,46,47,49,51,52,53,55,56,57,63,64,65,66,67,68,69,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,112,121,126,133,138,141,142,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,172,177,180,182,186,188,189,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,224,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,292,301,302,306,309,310,313,
326,327,328,329,330,331,332,337,338,339,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,383,398,399,400,
401,402,403,404,405,406,412,427,428,429,430,431,432,433,434,438,439,440,441,
442,443,444,445,446,447,448,470,473,474,475,476,477,478,479,491],[1,2,3,7,8,
12,13,15,19,21,22,26,30,44,45,46,47,48,50,51,65,70,77,78,83,84,85,86,109,110,
111,112,115,116,119,144,154,169,174,176,196,198,217,231,232,234,268,273,275,
276,278,279,280,337,338,339,367,369,407,408,412,449,450,484,492],[1,2,4,7,8,
14,15,16,19,21,22,32,43,44,45,51,54,55,57,59,65,70,82,83,84,88,93,95,113,115,
117,130,134,135,142,144,161,169,174,176,205,208,230,231,246,247,270,276,279,
315,319,320,321,337,345,347,392,393,407,408,430,451,452,484,493],[1,2,5,7,8,
11,15,17,19,21,22,35,36,37,38,44,45,51,53,56,60,61,65,70,71,81,83,84,87,94,96,
114,115,118,124,126,127,137,144,147,148,169,170,171,174,176,209,210,223,231,
240,241,269,276,279,287,299,308,311,337,344,346,380,390,407,408,429,453,454,
484,494],[1,2,5,6,7,9,11,12,14,15,17,19,20,22,25,28,35,38,39,42,45,46,49,50,
53,57,59,61,63,67,70,71,72,73,75,78,79,80,81,82,83,86,90,92,95,96,101,108,118,
119,123,129,133,135,140,145,156,157,169,170,171,174,175,177,179,185,187,188,
190,193,194,195,198,199,202,204,205,206,209,211,214,215,222,233,235,238,244,
248,249,251,268,269,270,271,275,286,287,307,313,314,316,317,321,323,327,333,
334,335,341,343,351,352,354,356,357,361,366,376,378,407,409,410,411,417,420,
426,434,449,451,453,455,468,472,481,488,489,490,495],[1,2,3,4,5,6,8,10,11,13,
15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,36,37,40,41,43,44,47,50,
52,53,55,59,60,64,66,70,71,72,74,76,77,79,80,84,85,87,88,89,91,93,94,97,98,99,
100,102,103,104,105,106,107,108,114,116,120,123,125,130,138,146,149,151,158,
159,163,166,169,170,171,172,173,176,178,182,184,187,189,190,193,196,197,200,
201,203,207,208,210,212,214,215,220,236,237,239,245,250,252,253,261,263,266,
267,268,269,270,278,282,288,290,297,299,303,310,314,315,324,326,333,334,335,
340,342,348,353,359,360,362,363,366,379,384,408,409,410,411,413,414,416,433,
450,452,454,455,469,471,480,485,486,487,496],[1,2,6,7,8,9,10,15,19,20,21,22,
25,27,44,45,51,65,66,67,68,69,70,79,83,84,108,115,144,145,146,152,155,169,173,
174,175,176,178,179,186,213,214,231,249,250,276,279,298,330,333,337,340,341,
398,407,408,423,424,442,471,472,484,497],[1,2,3,4,5,7,8,11,12,13,14,15,16,17,
18,19,21,22,26,30,32,35,36,37,38,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,70,71,77,78,81,82,83,84,85,86,87,88,93,94,95,96,98,
102,104,106,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
144,147,148,154,161,169,170,171,174,176,195,196,197,198,201,202,203,204,205,
206,207,208,209,210,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
230,231,232,234,240,241,246,247,254,258,268,269,270,273,275,276,278,279,280,
287,299,308,311,315,319,320,321,326,327,336,337,338,339,344,345,346,347,349,
350,355,358,366,367,369,378,379,380,385,386,387,388,390,391,392,393,394,407,
408,412,427,428,429,430,431,432,436,437,449,450,451,452,453,454,470,480,481,
484,492,493,494,498],[1,2,3,6,7,8,9,10,12,13,15,19,20,21,22,23,25,26,27,30,33,
34,44,45,46,47,48,50,51,65,66,67,68,69,70,73,76,77,78,79,83,84,85,86,89,90,
108,109,110,111,112,115,116,119,144,145,146,150,151,152,153,154,155,163,169,
173,174,175,176,178,179,182,183,186,190,194,196,198,213,214,217,231,232,234,
235,237,242,243,244,249,250,253,268,272,273,274,275,276,278,279,280,283,284,
290,292,294,298,316,330,331,333,337,338,339,340,341,348,356,367,369,372,398,
401,403,407,408,410,412,415,416,422,423,424,426,440,442,444,449,450,456,463,
471,472,479,484,485,488,492,497,499],[1,2,5,6,7,8,9,10,11,15,17,19,20,21,22,
25,27,28,35,36,37,38,39,40,41,42,44,45,51,53,56,60,61,65,66,67,68,69,70,71,72,
79,80,81,83,84,87,94,96,101,105,108,114,115,118,124,126,127,137,144,145,146,
147,148,152,155,156,157,158,159,164,165,167,168,169,170,171,173,174,175,176,
178,179,180,184,185,186,193,209,210,213,214,215,223,231,238,239,240,241,249,
250,251,252,255,256,269,271,276,279,282,285,287,295,298,299,304,306,308,311,
322,325,328,329,330,333,334,335,337,340,341,344,346,354,363,380,381,390,398,
399,400,407,408,409,413,418,420,423,424,425,429,439,441,442,453,454,462,464,
471,472,476,484,487,490,494,497,500],[1,2,4,6,7,8,9,10,14,15,16,19,20,21,22,
24,25,27,29,31,32,43,44,45,51,54,55,57,59,65,66,67,68,69,70,74,75,79,82,83,84,
88,91,92,93,95,108,113,115,117,130,134,135,142,144,145,146,149,152,155,160,
161,162,166,169,173,174,175,176,178,179,186,187,188,189,191,205,208,213,214,
230,231,233,236,245,246,247,248,249,250,262,264,270,276,277,279,281,298,302,
303,315,317,318,319,320,321,323,324,330,332,333,337,340,341,345,347,351,360,
392,393,395,398,402,404,407,408,411,414,417,419,421,423,424,430,438,442,443,
451,452,466,467,471,472,473,484,486,489,493,497,501],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[
1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,
1],[1,1,3,1],[1,1,2,1,1],[1,1,4,2,1,1],[1,1,2,1,1,1,1],[1,1,1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[
1,1,1,1],[1,1,2,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[
1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,2,2,1],[1,1,1,2,1],[
1,1,1,2,1],[1,1,2,1,1],[1,1,1,2,1],[1,1,1,1],[1,5,1,1],[1,1,1,3,1,1],[1,1,1,1,
1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,
1,3,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,3,
1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,
2,1],[1,1,2,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,1,3,1,1],[1,1,
2,1,1,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,3,3,1,
3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[
1,1,6,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[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],[1,1,3,3,1,3,1,1,1,1],[1,1,1,
1],[1,1,6,1,3,3,1,3,3,1],[1,1,2,3,1,3,1,3,3,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,2,
2,1,1,1,1,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,5,1,1,1,1],[1,1,
4,2,3,1,1,1,1],[1,1,2,3,3,1,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,2,3,1,1,1,1],[
1,1,4,4,1,2,2,1,1,1,1],[1,1,4,2,2,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,2,1,2,
1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,1,
1,1,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,4,2,1,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,
1,1],[1,1,2,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,3,1,1,1,1],[1,
1,2,4,2,1,1,1,2,1,1,2,1,2,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,2,1,2,1,2,1,8,1,2,1,
1,2,1],[1,1,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,2,1,2,1,1,
1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,2,4,2,1,1,1,2,8,1,1,1,2,2,1],[1,1,2,2,2,2,1,
1],[1,1,1,1,2,1,1,2,1,1],[1,1,1,1,2,1,1,2,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,
1,1],[1,9,1,1,2,3,3,3,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,1,1,2,
1,1,2,1,1,1],[1,3,1,2,1,1,3,1,1],[1,3,2,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,9,
1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,
1,1],[1,3,1,2,1,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,1,1,1,2,1,1,
1,1,1,1],[1,9,1,2,1,3,3,6,1,1],[1,9,1,1,2,3,6,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,
1,2,1,3,6,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,5,1,1,1],[1,1,1,1,1,1],[1,1,10,5,
1,1,2,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[
1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,1,3,1,3,1,3,1,1,1,1],[1,1,4,3,4,1,1],[1,
1,4,3,4,1,1],[1,1,1,1,1,3,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,4,1,2,1,
1,4,1,2,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,12,
1,1,6,1,4,3,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,3,1,1],[1,1,1,6,1,1,3,2,1,1],[
1,1,12,1,1,6,1,4,3,2,1,1],[1,1,1,1,1,1,1,1],[1,1,6,1,3,1,3,1,2,3,1,1,1,1],[1,
1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,1,3,1,3,1,2,3,1,1,1,1],[1,1,1,2,1,1,1,2,
1,1],[1,1,1,1,3,3,1,3,1,1,1,1],[1,1,8,1,4,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,
1,2,2,3,1,1,1,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,2,
6,6,1,1,3,3,12,1,2,2,2,3,1,1,1,4,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,6,
1,1,3,3,1,1,1,3,1,1,1,1],[1,1,2,6,6,1,1,3,3,12,1,2,2,1,1,3,1,1,1,2,2,1],[1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,6,1,3,1,3,1,1,1,3,1,1,1,1],[
1,1,6,2,6,1,3,1,3,12,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,8,1,3,4,1,2,2,3,1,1,1,1],[
1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,1,1,3,3,
1,1,1,3,1,1,1,1],[1,1,2,6,6,1,1,3,3,12,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,
2,2,4,4,1,2,2,4,4,1],[1,1,1,1,1,1,1,1],[1,15,1,1,5,3,1,1],[1,1,2,2,6,1,3,1,3,
3,1,3,1,3,3,3,1,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,3,3,5,1,1,3,3,5,1,1,1,1,
1,1,1,1,1,1],[1,1,6,6,6,1,1,3,1,3,3,3,24,1,3,3,1,3,3,3,3,3,3,3,6,1,1,1,3,3,3,
3,1],[1,1,2,4,8,1,1,2,1,2,4,8,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,
6,1,2,3,2,3,8,1,1,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,3,1,3,2,2,8,1,3,3,
1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,1,2,2,3,3,1,1,2,1,3,1,1,3,2,1,1,1,1,1,1,1,
1],[1,1,10,1,5,5,1,1,1,5,1,3,3,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,2,2,1,2,1,8,1,
1,2,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,2,3,3,1,2,8,1,1,1,3,1,3,1,2,2,
1,1,1,1,1,1,1,1],[1,1,6,4,2,1,3,3,2,1,1,1,3,3,1,2,1,2,1,1,1,1,1,1,1,1],[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],[1,1,4,2,8,2,2,1,1,1,
4,8,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,2,3,2,1,3,3,1,1,1,1,2,
2,1,1,1,1,1,1,1,1],[1,1,6,3,5,3,1,1,1,5,3,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,9,2,2,
1,6,6,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,1,1,2,9,1,1,2,1,3,3,6,1,1],[1,1,6,2,
2,3,2,2,2,6,1,1,3,1,2,1],[1,1,1,1,2,3,1,1,2,1,3,1,1,1],[1,1,18,1,1,2,9,1,1,6,
2,6,6,6,1,3,3,6,1,2,1],[1,1,6,1,1,2,3,1,1,6,2,2,1,3,1,1,2,1],[1,1,1,1,2,3,1,1,
2,1,1,3,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,1,18,
2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,1,6,1,2,1,3,1,2,2,1,3,3,1,1,3,1,1,1,1],[1,
1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,1,1,2,1,1,1,2,1,1,1,2,1,1],[1,1,6,1,1,2,3,1,1,
2,2,6,1,1,3,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,
1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,1,1,2,3,1,1,2,1,3,1,1,1],[1,1,1,1,2,3,1,
1,2,1,3,1,1,1],[1,1,18,1,1,2,9,1,1,2,6,3,3,6,6,1,3,3,6,1,1,1,1],[1,1,18,1,1,2,
9,1,1,2,6,3,3,6,6,1,3,3,6,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,2,1,1,1,2,1,2,
1],[1,3,3,9,2,2,9,1,3,1,6,6,3,1,3,3,1,1,1,1],[1,1,18,1,1,2,9,1,1,2,3,3,3,6,6,
3,1,3,3,6,1,1,1,1],[1,1,18,1,2,1,9,1,2,1,3,3,6,3,3,6,1,3,6,3,1,1,1,1],[1,3,3,
9,1,2,1,9,1,1,3,3,3,6,3,1,3,3,1,1,1,1],[1,3,3,9,2,2,9,1,3,1,6,6,3,1,3,3,1,1,1,
1],[1,3,3,9,1,2,1,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,3,3,9,1,2,1,9,1,1,3,3,6,3,
3,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,3,1,1,3,3,6,3,1,3,3,1,1,1,1],[1,1,6,1,2,1,3,
1,2,1,1,1,6,1,1,3,1,1,1,1],[1,1,9,9,1,1,2,9,1,3,3,3,1,3,3,1,1,3,6,1,3,3,3,3,1,
1,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,3,3,9,1,2,1,9,1,1,3,3,3,6,3,1,3,3,1,1,
1,1],[1,1,9,9,1,1,2,9,1,3,3,3,1,3,3,1,1,3,6,1,3,3,3,3,1,1,1,1],[1,3,3,9,1,1,2,
9,3,1,1,3,3,6,3,1,3,3,1,1,1,1],[1,1,5,1,5,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,
1],[1,1,5,1,5,1,1,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,2,1,3,1,
3,1,2,1,3,3,3,1,3,1,1,3,3,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,1,1,3,3,1,
6,1,3,3,1,3,3,1,1,3,3,1],[1,1,4,6,3,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,
1],[1,1,18,1,3,3,9,1,6,1,9,9,3,1,3,3,1,3,3,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,
1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[1,1,6,1,9,3,3,
1,2,1,9,9,1,3,3,3,1,3,3,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,2,
4,3,1,3,4,4,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,1,3,6,1,
4,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,6,1,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,4,1,
3,3,4,1,3,3,4,1,1,1],[1,1,12,12,1,1,6,6,1,4,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,2,6,
6,1,3,1,1,3,1,3,3,1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,
4,1,2,3,1,4,1,1,1,2,3,1,1,1,1,1],[1,1,4,6,12,1,2,3,1,3,6,24,1,4,2,4,1,3,3,6,6,
1,1,2,1,2,8,3,1,1,1,2,2,1],[1,1,4,1,2,2,1,1,4,1,1,1,2,2,1,1,1,1,1,1],[1,1,2,1,
1,1,1,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,
1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,2,12,12,1,1,1,1,6,6,24,1,2,4,4,1,3,6,
3,6,1,2,1,1,2,8,3,2,1,1,1,2,1],[1,1,4,12,1,2,1,6,1,4,4,1,3,3,2,1,2,3,1,1,1,
1],[1,1,1,5,1,1,1,1,5,1,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,12,1,
2,3,1,3,6,1,2,4,1,3,6,3,6,2,1,1,1,2,3,2,1,1,1,2,1],[1,1,12,1,2,1,6,1,4,1,3,3,
2,2,1,3,1,1,1,1],[1,1,12,1,6,1,6,1,4,1,3,3,2,2,1,3,1,1,1,1],[1,1,12,1,3,6,1,4,
1,3,3,2,3,3,1,1,1,1],[1,1,24,1,1,12,1,8,1,3,3,1,4,3,1,1,1,1],[1,1,2,12,1,1,1,
6,1,6,1,2,4,1,3,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,6,1,3,1,3,1,2,1,3,3,1,1,1,
3,1,1,1,1],[1,1,12,1,2,1,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,
3,4,3,1,1],[1,1,4,1,2,6,1,1,4,1,3,3,2,2,1,3,1,1,1,1],[1,1,4,12,6,1,3,2,1,6,3,
24,1,4,4,2,1,6,3,3,6,1,2,2,1,1,8,3,2,1,1,1,2,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,
1,1],[1,1,6,1,3,1,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,1,3,2,6,1,3,1,2,1,6,3,3,
6,1,2,2,1,1,3,2,1,1,1,2,1],[1,1,6,1,3,1,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,
4,3,6,4,8,1,3,3,4,3,1,1],[1,1,1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,1,1,6,3,1,1,3,3,
2,3,3,1,1,1,1],[1,1,6,1,3,1,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,4,1,3,3,4,1,3,
3,4,1,1,1],[1,1,2,4,3,3,1,4,8,1,3,3,4,1,1,1],[1,1,4,6,3,4,1,3,3,4,3,1,1],[1,1,
12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,4,6,3,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,
1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,8,8,6,1,1,4,3,4,3,24,1,
2,2,2,1,1,2,3,4,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,1,1,4,4,
3,3,1,1,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,27,1,2,2,4,4,9,18,18,
36,36,1,2,2,4,4,3,6,6,12,12,1,1],[1,27,1,2,2,4,4,9,18,18,36,36,1,2,2,4,4,3,6,
6,12,12,1,1],[1,1,1,2,2,4,4,1,2,2,4,4,1,2,2,4,4,1,2,2,4,4,1,1],[1,3,1,2,2,4,4,
3,1,3,3,3,1,2,2,4,4,1,1,1,1,3,1,1],[1,9,1,2,2,4,4,3,3,3,3,9,1,2,2,4,4,1,3,3,3,
3,1,1],[1,1,1,5,1,1,1,5,1,1,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,1,30,1,15,1,1,
10,1,6,5,1,3,1,2,1],[1,1,6,6,10,1,3,3,3,5,3,5,24,1,1,3,3,5,3,1,1,3,5,5,3,1,3,
5,1,3,3,5,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,5,1,1,1,1,3,1,1,3,1,3,3,1,
1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[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],[1,1,1,4,8,3,1,4,8,1,4,3,4,1,1,2,1],[1,1,1,4,8,3,1,4,8,1,4,3,4,1,1,2,1],[
1,1,6,18,1,1,2,3,3,9,1,1,6,6,2,2,6,6,6,9,1,1,3,3,1,3,3,6,1,2,2,3,3,1,1,1,1],[
1,1,1,1,2,3,3,9,1,1,2,9,1,1,3,3,1,3,3,6,1,3,3,1,1,1,1],[1,1,2,2,9,2,2,9,1,6,6,
1,1,1],[1,1,2,2,6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,1,18,2,2,1,9,9,2,2,6,6,6,6,
9,1,2,6,6,2,6,6,1,1,1,6,6,1,1,1,1],[1,1,12,2,2,9,6,2,2,4,12,9,1,6,6,2,6,1,4,6,
1,2,1],[1,1,8,1,1,2,4,3,1,1,8,2,2,2,2,2,3,1,4,1,3,1,1,2,1,2,2,3,1,1,1,1,1],[1,
1,6,6,2,2,1,3,3,2,2,2,6,2,6,3,1,1,2,3,2,1,3,1,2,2,1,3,1,1,1,1],[1,1,6,6,18,2,
2,3,3,9,36,2,2,2,6,2,6,6,6,6,6,9,1,1,3,1,3,6,6,6,6,6,6,1,1,1,2,2,3,3,1,1,1,2,
2,1],[1,1,1,1,2,12,3,1,1,2,9,1,4,3,3,1,6,3,1,3,3,1,1,1,1],[1,1,18,1,1,2,1,9,9,
1,1,2,6,3,3,6,6,9,1,1,3,3,3,1,2,6,3,6,1,1,1,3,3,6,1,1,1,1],[1,1,2,6,1,1,2,3,1,
3,1,1,2,2,2,2,2,2,6,3,1,1,1,1,1,3,2,3,1,2,2,1,3,1,1,1,1],[1,1,18,1,1,2,3,3,9,
1,1,2,6,3,3,6,6,9,1,1,3,3,3,1,3,6,1,1,1,3,3,1,1,1,1],[1,1,2,2,1,3,3,2,2,3,1,1,
2,1,3,2,3,1,1,3,1,1,1,1],[1,1,1,1,2,4,3,1,1,2,3,1,4,1,3,1,1,2,1,3,1,1,1,1,1],[
1,1,1,1,2,3,1,3,1,1,2,3,1,1,1,1,3,1,2,3,1,1,3,1,1,1,1],[1,1,18,2,2,3,3,9,2,2,
6,6,6,6,9,1,1,1,3,6,3,6,1,1,1,3,3,1,1,1,1],[1,1,2,18,18,1,1,2,1,9,9,36,1,1,2,
6,2,6,6,2,6,6,2,2,3,3,6,6,9,1,3,1,3,1,3,2,6,3,6,6,6,6,6,6,6,12,1,2,1,1,2,3,3,
6,1,1,1,2,2,1],[1,1,24,1,1,2,3,12,1,1,8,2,6,6,6,6,9,1,4,3,1,3,6,3,1,2,2,3,3,1,
1,1,1],[1,1,18,1,1,2,3,3,9,1,1,2,6,3,3,6,6,9,1,3,1,1,3,3,3,6,1,1,1,3,3,1,1,1,
1],[1,1,6,6,18,1,1,2,3,3,9,36,1,1,6,2,2,2,6,3,3,6,6,6,9,1,1,3,1,3,3,3,6,6,6,
12,1,2,1,1,2,3,3,1,1,1,2,2,1],[1,1,18,1,1,2,3,3,9,1,1,2,6,3,3,6,6,9,1,1,3,3,1,
3,3,6,1,1,1,3,3,1,1,1,1],[1,1,18,1,1,2,3,3,9,1,1,2,3,3,3,6,6,3,9,1,1,3,1,3,3,
3,6,1,1,1,3,3,1,1,1,1],[1,1,6,6,18,1,2,1,3,3,9,36,1,2,2,1,1,1,3,3,3,3,6,3,3,6,
6,9,1,1,3,1,3,3,3,6,3,3,6,3,6,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,10,1,
5,5,1,5,5,5,1,2,5,1,1,1,1,1,1,1],[1,1,6,4,7,3,9,4,3,1,9,3,9,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,2,6,18,1,3,3,1,9,3,3,9,1,2,2,6,1,3,3,9,3,9,9,9,9,9,
9,18,1,3,1,3,1,3,3,1,3,3,9,9,9,9,1,1,3,3,3,3,3,3,3,3,3,6,3,1,1,1,3,3,3,3,1],[
1,1,14,4,3,7,9,4,8,8,1,3,3,9,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
18,18,1,3,1,3,3,3,9,9,72,1,6,6,6,1,3,3,3,9,9,9,9,9,9,9,18,1,1,3,1,3,3,3,24,1,
3,3,9,9,9,9,3,1,1,3,3,3,3,3,3,3,3,6,3,1,1,1,3,3,3,3,1],[1,1,6,12,1,1,3,6,3,6,
1,6,4,1,3,3,3,3,3,3,6,6,1,2,3,3,2,1,3,3,3,3,3,3,1,1,3,3,1,1,1,2,2,3,1,1,1,1,1,
1,1,1],[1,1,6,1,3,3,5,1,6,1,1,3,3,5,1,1,3,3,5,1,1,1,1,1,1,1,1,1,3,5,1,1,3,1,1,
1,1,1,1,1,1,1],[1,1,2,6,6,1,3,1,1,3,1,3,3,1,2,2,2,1,3,1,1,3,3,3,3,3,3,3,1,1,1,
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],[1,1,2,12,12,1,
3,1,3,6,6,24,1,2,4,4,1,3,3,3,3,6,3,3,6,3,2,1,3,2,8,1,3,3,3,3,3,3,1,1,2,3,1,1,
1,3,2,3,1,1,1,1,1,1,1,1],[1,1,2,12,24,1,1,1,6,1,6,12,24,1,2,4,8,1,1,1,3,3,6,3,
3,6,6,6,1,2,2,1,1,4,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[
1,1,18,1,3,2,6,3,9,1,6,1,1,6,1,9,3,3,9,6,1,2,2,3,3,3,1,3,3,3,3,3,1,2,3,1,1,1,
3,1,2,3,1,1,1,1,1,1,1,1],[1,1,4,6,24,1,2,2,3,1,3,12,24,1,4,2,8,1,1,1,3,6,3,3,
3,6,6,6,2,1,1,2,1,4,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,2,1,2,2,3,1,1,1,1,1,1,1,1],[
1,1,6,4,1,6,6,3,3,4,1,3,6,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
12,12,6,4,1,6,3,6,3,24,4,8,8,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,18,4,1,9,9,4,4,4,1,3,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,30,1,3,5,15,1,10,1,1,1,15,3,9,9,1,5,5,3,1,3,3,3,3,3,1,1,1,3,3,1,5,3,1,1,1,
1,1,1,1,1],[1,1,18,12,1,2,3,3,9,6,1,6,4,1,1,1,9,9,3,6,3,6,2,3,1,3,2,3,1,3,3,3,
3,3,1,1,2,1,3,1,3,1,2,3,1,1,1,1,1,1,1,1],[1,1,4,12,6,1,3,2,2,6,1,6,3,24,1,4,4,
2,1,1,6,1,6,3,3,3,3,6,6,1,2,2,2,2,1,1,8,1,3,3,3,3,3,3,2,2,1,1,1,1,1,1,1,2,2,3,
1,1,1,1,1,1,1,1],[1,1,4,12,18,1,3,2,3,6,9,24,1,4,4,6,1,1,1,6,9,3,3,9,6,1,2,2,
3,3,8,3,1,3,3,3,3,3,2,1,1,3,1,1,1,3,2,3,1,1,1,1,1,1,1,1],[1,1,6,6,6,4,1,1,3,1,
3,3,3,24,4,1,3,3,1,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,6,
12,4,1,3,6,3,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,6,12,4,6,1,3,3,6,4,4,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,2,12,12,4,3,1,3,6,6,24,4,8,8,4,4,1,3,3,3,3,6,3,3,6,4,4,4,8,8,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,4,6,12,1,2,9,3,3,6,24,1,4,2,4,1,1,1,9,3,9,3,6,6,1,3,
2,3,2,8,1,3,3,3,3,3,3,1,1,1,1,3,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,1,18,4,1,9,9,4,
4,4,3,1,3,9,3,9,3,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,2,6,4,1,3,1,3,3,1,
3,4,8,8,1,3,3,3,1,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,14,4,
3,9,7,4,8,8,1,3,3,9,9,3,3,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,7,9,3,4,
3,1,3,9,3,9,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,2,12,4,6,3,3,1,6,24,
4,8,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,1,
9,5,9,1,6,1,1,1,15,9,9,3,3,3,5,3,1,3,3,3,3,3,1,1,1,1,3,3,5,3,1,1,1,1,1,1,1,
1],[1,1,2,12,12,4,3,1,3,6,6,24,4,4,4,4,4,4,4,1,3,3,3,3,6,3,3,6,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,6,3,6,4,4,4,1,3,3,3,3,3,3,6,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,1,2,2,4,4,9,1,2,2,4,4,1,2,2,4,4,9,6,6,1,
2,2,4,4,1,1,6,6,1,1],[1,1,54,1,2,2,4,4,27,1,2,2,4,4,18,18,18,18,18,36,36,36,
36,1,2,2,4,4,9,18,18,36,36,1,2,2,3,3,4,4,6,6,6,6,12,12,12,12,1,3,6,6,12,12,1,
1,1,1],[1,1,1,2,2,4,4,3,1,2,2,4,4,1,2,2,4,4,1,6,6,1,2,2,4,4,1,2,2,3,1,1],[1,1,
6,1,2,2,4,4,3,1,2,2,6,4,2,4,6,6,6,1,2,2,4,4,3,1,3,6,1,2,2,2,2,4,2,2,4,6,1,1,1,
2,3,1,2,1],[1,1,18,1,2,2,4,4,9,1,2,2,6,4,4,6,6,6,18,1,2,2,4,4,3,3,6,9,1,2,2,2,
4,4,6,6,6,6,1,1,3,3,6,1,2,1],[1,1,1,2,2,4,4,3,1,2,2,4,4,1,2,2,4,4,3,1,3,6,1,2,
2,4,4,1,1,1,2,3,1,1],[1,1,1,2,2,4,4,9,1,2,2,4,4,1,2,2,4,4,3,3,6,9,1,2,2,4,4,1,
1,3,3,6,1,1],[1,3,9,27,1,2,2,4,4,27,3,3,1,9,3,3,3,3,3,3,18,18,36,36,9,1,2,2,4,
4,9,9,9,9,9,3,1,1,1,1,1,6,6,3,3,3,3,12,12,3,1,3,3,3,3,3,1,1,1,1],[1,3,9,27,1,
2,2,4,4,27,3,3,1,9,3,3,3,3,3,3,18,18,36,36,9,1,2,2,4,4,9,9,9,9,9,3,1,1,1,1,1,
6,6,3,3,3,3,3,12,12,1,3,3,3,3,3,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,
10,15,6,10,5,6,10,6,5,1],[1,1,30,1,3,5,15,1,1,10,15,1,6,1,5,5,1,1,3,3,5,1,2,3,
1,1,1,1],[1,1,1,5,1,1,5,1,5,1,1,5,1,1,1,1],[1,1,1,5,1,1,15,1,5,1,1,5,1,3,1,
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,
1,18,1,4,8,3,3,9,1,4,8,6,1,9,9,4,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,36,1,
4,8,3,18,1,4,12,8,24,24,24,1,9,9,4,6,3,12,24,9,4,8,1,1,2,3,3,4,3,3,6,1,1],[1,
1,6,1,4,8,1,3,3,1,4,6,8,1,3,3,4,1,3,3,4,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,1,12,
1,4,8,6,3,1,4,12,8,8,1,3,3,4,6,4,3,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,1,1,4,8,18,3,
1,4,8,1,9,9,4,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,36,1,4,8,3,18,1,4,8,
12,12,12,24,24,1,9,9,4,3,6,12,24,9,4,4,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,18,1,4,8,
3,3,9,1,4,6,8,1,9,9,4,3,1,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,18,1,4,8,3,3,9,1,
4,8,6,1,9,9,4,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,6,1,4,8,9,3,3,1,4,2,8,24,
1,9,9,4,1,3,3,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,1,2,1,4,8,3,1,3,1,4,2,8,8,8,8,
1,3,3,4,3,1,3,4,8,1,4,8,1,1,2,3,3,4,1,1,2,1,1],[1,1,1,4,8,9,1,4,8,1,3,3,4,9,4,
3,4,1,3,1,2,3,4,1,3,1,1],[1,1,1,4,8,9,1,4,8,3,1,3,4,9,4,3,4,3,1,1,2,3,4,1,3,1,
1],[1,1,36,1,4,8,3,18,1,4,8,12,12,12,24,24,1,9,9,4,3,6,12,24,9,4,4,4,1,1,2,3,
3,4,3,3,6,1,1],[1,1,1,4,8,6,3,1,4,8,1,3,3,4,6,4,3,3,4,1,1,2,3,3,4,1,3,1,1],[1,
1,12,2,2,6,9,6,2,2,4,12,9,9,9,1,2,6,6,6,2,6,9,1,4,6,6,1,2,2,1,1,1,1],[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],[1,1,18,2,2,1,
9,9,2,2,6,6,6,6,9,9,9,1,2,6,6,2,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1],[1,1,12,2,2,6,
9,6,2,2,4,12,9,9,9,1,2,6,6,2,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,18,2,2,1,6,6,9,
9,2,2,6,6,6,6,9,6,9,9,18,1,2,2,2,6,6,6,2,6,6,6,9,1,1,1,2,6,6,6,6,6,6,6,1,2,1,
1,2,6,1,1,1,2,2,1],[1,1,12,12,18,2,2,1,6,9,6,9,72,2,2,4,12,4,6,6,6,6,12,9,6,9,
9,18,1,2,2,6,6,6,2,2,6,6,6,12,12,12,12,9,1,1,1,4,4,6,2,6,6,6,6,6,6,1,2,1,1,2,
4,4,6,1,1,1,2,2,1],[1,1,8,24,18,1,1,2,3,4,3,12,9,72,1,1,8,8,2,2,6,6,2,6,6,2,2,
3,3,6,6,6,3,12,9,9,18,1,1,4,4,1,3,3,1,1,3,3,2,6,3,3,6,6,6,6,6,6,6,6,6,24,9,1,
2,2,1,1,2,2,4,3,3,3,1,3,6,3,3,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,3,1,1,1,1,1,1,1,
1],[1,1,18,1,1,2,3,4,12,3,9,1,1,2,6,3,3,6,6,3,12,9,9,18,1,1,4,4,1,3,3,3,3,1,1,
2,6,3,3,6,9,1,1,1,4,3,3,3,3,1,6,3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,1,6,18,30,1,3,3,3,9,5,9,15,72,1,6,6,10,1,1,3,3,5,9,1,1,9,15,15,9,3,9,15,
3,9,9,15,18,18,1,3,3,3,3,5,5,24,1,1,1,1,3,3,1,1,3,3,1,3,3,9,3,3,3,3,3,15,3,3,
3,3,9,3,3,9,3,9,9,3,3,3,9,3,1,1,3,1,5,3,5,3,3,1,1,3,3,1,5,5,5,3,6,6,3,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,5,1,3,1,1,1,1,3,1,1,3,1,1,1,1,3,1,1,1,3,
1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,14,14,18,4,1,3,7,3,9,7,9,
72,4,8,8,8,4,4,8,1,3,3,9,9,3,3,3,7,9,9,9,3,3,9,3,3,9,9,6,18,4,4,4,4,4,4,4,8,8,
8,8,3,1,3,3,3,1,3,3,1,3,3,3,3,9,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,9,3,3,3,3,9,1,4,
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],[
1,1,6,6,18,4,1,7,3,7,9,3,9,24,4,4,4,3,1,9,3,9,7,3,3,3,9,9,3,3,9,9,3,9,3,9,18,
6,4,4,4,4,4,4,4,1,3,3,3,1,3,3,3,3,1,3,3,3,3,3,3,3,3,3,9,3,3,3,3,9,3,3,9,3,3,9,
3,3,3,3,1,4,4,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,
1,1,1,1,1],[1,1,36,1,2,2,4,4,9,18,1,2,2,12,4,4,12,12,12,36,27,1,2,2,4,4,6,9,6,
6,6,12,18,1,2,2,4,4,4,12,12,12,12,9,18,1,1,2,6,6,6,6,12,1,4,3,6,1,2,1],[1,1,1,
2,2,4,4,9,1,2,2,4,4,27,1,2,2,4,4,9,6,6,1,2,2,4,4,9,1,1,6,6,1,3,1,1],[1,1,12,1,
2,2,4,4,6,9,1,2,2,12,4,4,4,12,12,12,9,1,2,2,4,4,6,2,9,6,6,6,12,1,2,2,4,4,4,4,
4,4,12,9,6,1,1,2,2,4,6,6,6,1,4,1,6,1,2,1],[1,1,54,1,2,2,4,4,3,9,27,1,2,2,4,4,
18,18,18,18,18,36,36,36,36,27,1,2,2,4,4,1,9,9,6,6,6,6,18,18,36,36,1,2,2,3,3,4,
4,6,6,6,6,12,12,12,12,9,18,18,1,1,2,2,3,3,6,6,6,6,12,12,1,1,1,3,6,6,1,1,1,1],[
1,1,1,2,2,4,4,9,1,2,2,4,4,9,1,2,2,4,4,9,6,6,1,2,2,4,4,9,1,1,6,6,1,1,1,1],[1,1,
1,2,2,4,4,18,9,1,2,2,4,4,27,1,2,2,4,4,6,9,6,6,6,12,18,1,2,2,4,4,9,18,1,1,2,6,
6,6,6,12,1,3,6,1,2,1],[1,1,1,2,2,4,4,6,9,1,2,2,4,4,9,1,2,2,4,4,6,2,9,6,6,6,12,
1,2,2,4,4,9,6,1,1,2,2,4,6,6,6,1,1,6,1,2,1],[1,1,1,2,2,4,4,3,3,9,1,2,2,4,4,9,1,
2,2,4,4,1,3,3,1,6,3,3,6,6,6,9,1,2,2,4,4,3,3,9,1,1,1,1,2,2,3,2,3,3,3,6,1,1,3,3,
1,1,1,1],[1,1,6,18,1,2,2,4,4,3,3,9,1,2,2,6,6,4,2,4,6,6,6,6,6,6,18,9,1,2,2,4,4,
1,3,3,1,6,3,6,3,6,6,9,1,2,2,2,2,2,4,2,2,4,6,6,6,6,6,3,3,9,1,1,1,1,2,2,3,2,3,3,
3,6,1,2,2,1,3,3,1,1,1,1],[1,1,54,1,2,2,4,4,3,9,27,1,2,2,4,4,18,18,18,18,18,36,
36,36,36,27,1,2,2,4,4,3,3,1,9,3,3,6,6,18,9,18,36,36,1,2,2,3,3,4,4,6,6,6,6,12,
12,12,12,9,9,9,18,1,1,1,1,3,2,3,3,3,6,6,12,12,6,1,1,1,3,3,3,6,1,1,1,1],[1,1,6,
18,54,1,2,2,4,4,3,9,27,108,1,2,2,6,6,4,2,4,18,6,6,6,6,6,6,18,18,18,18,36,36,
36,36,18,27,1,2,2,4,4,3,3,1,9,3,3,6,6,9,18,18,18,18,18,18,36,18,18,18,36,18,
36,1,2,2,3,3,2,2,2,4,2,2,4,6,6,6,6,6,6,6,6,12,12,6,12,12,9,9,9,18,1,1,1,1,3,2,
3,3,6,6,3,6,12,12,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,3,3,3,6,1,1,1,2,2,1],[1,1,10,
10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,10,15,6,10,20,20,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,10,10,15,6,10,5,15,15,6,10,10,10,
15,6,5,10,6,5,1,1],[1,1,20,10,15,10,6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,
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],[1,1,30,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[
1,1,30,1,3,5,15,1,1,10,5,15,15,1,6,1,5,5,1,15,1,3,3,5,5,5,1,2,1,3,3,5,1,1,1,3,
1,1,1,1],[1,1,14,1,4,8,3,7,9,1,4,14,8,8,8,8,8,1,3,3,9,9,3,3,4,3,7,4,9,4,4,8,3,
1,3,3,3,3,3,4,8,8,1,3,1,2,9,9,3,3,3,4,3,4,4,4,1,3,1,1,1,2,3,3,3,3,3,1,4,1,3,1,
1,1,1],[1,1,6,18,18,1,4,8,3,1,3,3,3,9,9,72,1,4,6,6,8,6,1,3,3,3,9,9,9,9,9,9,9,
18,4,1,1,3,1,3,3,3,12,4,8,12,24,1,3,3,9,9,9,9,4,3,1,1,1,2,3,3,3,3,3,3,3,3,6,
12,3,4,4,4,1,1,1,1,2,3,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,2,6,18,1,4,8,3,3,1,9,3,
3,9,1,4,2,2,8,6,8,8,8,24,1,3,3,9,3,9,9,9,9,9,9,18,4,1,3,1,3,1,3,3,4,12,8,12,1,
3,3,9,9,9,9,4,8,8,1,1,1,3,2,3,3,3,3,3,3,3,3,6,12,3,4,4,4,1,1,1,1,2,3,3,3,3,3,
3,1,4,1,3,1,1,1,1],[1,1,18,36,1,4,8,6,3,3,9,18,1,4,6,8,12,12,12,24,24,1,3,3,9,
9,9,18,9,18,4,6,3,1,4,3,6,12,12,24,3,3,9,9,9,9,9,4,4,4,1,1,2,3,6,3,3,3,3,3,6,
12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,6,36,1,4,8,1,3,18,3,18,
1,4,6,8,12,12,12,24,24,1,3,3,9,9,9,9,18,18,4,1,6,3,3,6,12,4,8,24,12,24,1,9,9,
9,9,9,9,4,4,4,1,1,2,3,3,3,3,3,3,6,6,12,24,9,4,4,4,1,1,2,3,3,3,3,3,3,3,3,6,6,1,
4,3,3,6,1,1,1,1],[1,1,2,36,36,1,4,8,3,1,3,18,18,72,1,4,2,12,8,12,24,8,24,24,8,
8,12,12,24,24,1,3,3,9,9,18,9,9,18,4,3,6,1,3,6,4,12,8,24,12,24,24,24,24,24,24,
24,24,1,9,9,9,9,9,9,4,8,4,4,8,1,1,2,3,6,3,3,3,3,3,6,12,24,9,4,4,4,8,8,1,1,2,3,
3,3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,1,54,1,4,8,3,9,27,1,4,8,18,12,12,24,
24,1,3,3,27,9,9,27,4,1,9,9,4,12,12,24,3,3,9,9,9,9,9,4,4,4,1,3,1,2,3,3,9,3,9,
12,9,4,4,4,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,6,1,4,8,7,3,9,1,4,6,8,
3,1,9,3,9,3,3,4,7,3,4,9,4,4,8,1,3,3,3,3,3,3,4,3,1,1,2,3,9,3,3,9,4,3,4,4,4,3,1,
1,1,1,2,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,54,1,4,8,3,9,27,1,4,8,18,12,12,24,24,
3,1,3,27,9,27,9,4,1,9,9,12,4,12,24,9,3,3,9,9,9,9,4,4,4,3,1,1,2,3,9,3,3,9,12,9,
4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,12,6,36,1,4,8,6,9,3,3,18,72,
1,4,12,2,8,8,12,12,12,24,24,24,1,3,3,9,9,9,9,18,18,4,1,3,6,4,3,6,12,12,24,24,
24,24,3,3,9,9,9,9,9,4,8,4,4,8,1,1,2,3,3,3,3,3,3,6,6,12,9,4,4,4,8,8,1,1,3,3,3,
3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,42,1,4,8,9,9,21,1,4,14,8,24,24,24,24,1,3,3,
27,27,9,9,4,7,3,9,4,12,24,12,9,3,3,9,9,9,9,4,8,8,1,3,1,2,3,3,3,9,9,12,9,4,4,4,
3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,18,1,4,8,21,9,9,1,4,6,8,3,1,3,27,
9,27,9,4,3,7,9,12,4,24,12,3,3,9,9,9,9,9,4,3,1,1,2,3,3,9,3,9,12,9,4,4,4,1,1,3,
3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,18,1,4,8,3,6,18,3,9,1,4,8,6,1,3,18,3,9,
9,9,9,18,4,1,6,6,4,3,3,12,12,24,3,3,9,9,9,9,9,4,1,1,6,2,3,3,3,3,3,3,12,6,9,4,
4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,12,36,18,1,4,8,3,6,3,18,9,72,
1,4,12,12,8,8,6,24,24,24,1,3,3,18,9,9,9,9,18,4,1,6,6,4,3,3,12,12,24,24,3,3,9,
9,9,9,9,4,8,8,6,1,1,2,3,3,3,3,3,3,12,6,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,
1,1,1,1],[1,1,12,12,18,2,2,1,6,6,6,9,6,9,72,2,2,4,12,4,6,6,6,6,12,9,9,6,9,6,9,
9,9,9,18,18,1,2,2,2,2,6,6,6,6,2,2,6,6,6,6,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,
2,6,2,6,6,6,6,6,6,6,6,6,6,6,9,1,2,2,1,1,2,2,4,4,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,1,10,20,15,6,1,10,20,5,10,6,15,10,6,10,6,5,5,10,6,10,6,5,1,
1],[1,1,1,10,20,15,6,1,10,20,5,10,6,15,10,6,10,6,5,5,10,6,10,6,5,1,1],[1,1,36,
1,2,2,4,4,18,9,18,1,2,2,12,4,4,12,12,12,36,9,27,27,1,2,2,4,4,6,6,9,6,6,6,6,12,
12,18,18,27,1,2,2,4,4,4,12,12,12,12,9,9,9,18,18,1,1,2,2,6,6,6,6,6,6,12,12,9,1,
4,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,1,36,1,2,2,4,4,6,9,18,1,2,2,12,4,4,12,12,12,
36,9,27,27,1,2,2,4,4,6,6,2,9,6,6,6,6,12,12,18,27,1,2,2,4,4,4,12,12,12,12,9,9,
9,6,18,1,1,2,2,2,4,6,6,6,6,6,12,9,1,4,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,1,54,1,2,
2,4,4,3,6,18,9,27,1,2,2,4,4,18,18,18,18,18,36,36,36,36,9,18,27,27,54,1,2,2,4,
4,1,6,6,2,9,9,6,6,6,6,6,6,12,12,18,18,18,36,36,27,1,2,2,3,3,4,4,6,6,6,6,12,12,
12,12,6,9,9,9,6,6,18,18,18,18,18,18,18,36,1,1,2,2,2,2,2,3,3,4,6,6,6,6,6,6,6,
12,12,12,9,18,1,1,1,1,2,3,3,6,6,6,6,6,6,6,6,6,12,1,1,1,2,2,3,6,1,1,1,2,2,1],[
1,1,54,1,2,2,4,4,3,9,27,1,2,2,4,4,18,18,18,18,18,36,36,36,36,9,27,27,1,2,2,4,
4,1,9,9,6,6,6,6,18,18,36,36,27,1,2,2,3,3,4,4,6,6,6,6,12,12,12,12,9,9,9,18,18,
1,1,2,2,3,3,6,6,6,6,12,12,9,1,1,1,1,3,3,6,6,1,1,1,3,1,1,1,1],[1,1,12,36,54,1,
2,2,4,4,3,6,9,18,27,216,1,2,2,12,12,4,4,4,18,12,12,12,12,12,12,18,18,18,18,36,
36,36,36,36,9,18,27,27,54,1,2,2,4,4,1,6,6,2,9,9,6,6,6,6,6,6,12,12,18,18,18,36,
36,36,36,36,36,36,36,36,36,72,27,1,2,2,3,3,4,4,4,4,4,4,4,6,6,6,6,12,12,12,12,
12,12,12,12,12,6,9,9,9,6,6,18,18,18,18,18,18,18,36,1,1,2,2,2,2,2,3,3,4,6,6,6,
6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,9,18,1,1,1,4,4,1,2,3,3,6,6,6,6,
6,6,6,6,6,12,1,1,1,2,2,4,4,3,6,1,1,1,2,2,1],[1,1,12,1,2,2,4,4,6,18,9,1,2,2,12,
4,4,4,12,12,12,9,27,27,1,2,2,4,4,6,6,2,9,6,6,6,6,12,12,18,27,1,2,2,4,4,4,4,4,
4,12,9,9,9,6,18,1,1,2,2,2,4,6,6,6,6,6,12,9,1,4,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,
1,12,1,2,2,4,4,6,6,9,1,2,2,12,4,4,4,12,12,12,9,9,9,1,2,2,4,4,6,6,2,2,9,6,6,6,
6,12,12,9,1,2,2,4,4,4,4,4,4,12,9,9,9,6,6,1,1,2,2,2,2,4,4,6,6,6,6,9,1,4,1,1,1,
6,6,1,2,2,1,1,1,1,1],[1,1,20,20,30,10,1,10,15,10,15,120,6,10,20,20,20,10,10,
20,5,15,15,10,15,15,15,15,30,6,12,10,10,10,10,10,10,10,20,20,20,20,5,15,15,15,
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,
30,10,1,10,10,15,15,6,10,10,10,5,15,10,15,15,15,15,15,30,6,12,10,10,10,10,10,
10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,
1,1,1,1,1],[1,1,6,18,54,1,4,8,3,7,3,21,9,9,27,72,1,4,6,6,8,18,12,12,24,24,3,1,
9,3,9,21,3,3,9,27,27,9,9,27,27,9,27,9,27,54,18,4,1,7,3,7,3,4,9,9,12,12,4,4,8,
24,12,12,24,24,1,3,3,3,3,9,3,3,9,3,3,9,9,9,9,9,9,9,9,27,9,9,9,9,27,9,9,27,9,9,
27,9,9,9,9,4,4,4,3,3,1,1,7,2,3,9,3,9,9,3,3,3,9,3,3,9,9,9,9,12,4,18,6,12,12,12,
12,12,24,9,3,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,4,4,4,4,4,1,3,1,1,1,1,1,3,3,2,3,3,
3,3,9,3,3,3,3,3,3,3,3,3,9,3,3,3,3,9,3,3,3,3,3,3,9,3,3,3,3,3,3,6,6,12,9,1,4,4,
4,4,4,4,4,1,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,1,1,1,1,1,1,1,4,3,3,1,
1,1,1,1,1,1,1],[1,1,14,42,54,1,4,8,3,3,7,9,9,21,27,216,1,4,14,14,8,8,18,24,8,
24,24,8,8,12,12,24,24,24,1,3,3,9,9,9,3,3,21,27,27,27,9,9,27,9,9,27,27,18,54,4,
1,3,7,3,7,4,9,9,4,4,12,12,8,24,12,12,24,24,24,24,24,24,24,24,24,72,3,1,3,3,9,
3,3,3,3,9,3,9,9,27,9,9,9,9,9,27,9,9,9,9,9,9,9,9,9,27,9,9,9,9,27,4,8,8,4,4,8,8,
7,1,3,1,3,2,3,9,9,9,3,9,3,3,3,9,3,9,9,9,3,4,12,6,18,12,12,12,12,12,24,3,3,9,9,
9,9,9,9,9,9,9,9,9,9,9,4,4,4,4,4,4,4,8,8,8,8,3,1,3,3,1,1,1,1,1,2,3,3,3,9,3,9,3,
3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,6,6,12,9,1,4,4,4,4,4,4,4,
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],[1,1,20,20,45,36,20,20,15,15,45,10,36,60,60,45,10,36,15,15,10,15,15,10,6,
6,1],[1,1,20,1,10,20,10,15,6,1,10,20,20,20,20,20,20,5,15,15,10,6,10,10,15,10,
10,20,6,15,10,20,20,6,5,5,10,15,15,10,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[
1,1,60,1,10,20,15,30,6,1,10,20,20,60,60,60,60,5,45,45,10,6,10,15,10,30,60,30,
6,45,10,20,20,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,
1,90,1,10,20,3,15,45,6,1,10,20,30,30,30,60,60,5,45,45,10,6,36,1,15,15,10,30,
30,60,6,15,10,10,10,6,18,18,5,5,10,15,15,30,6,12,10,10,10,18,5,15,6,6,6,5,10,
1,6,5,3,1,1],[1,1,1,10,20,10,15,6,1,10,20,5,15,15,10,6,10,10,15,10,10,20,6,15,
10,6,5,5,10,15,15,10,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,1,1,10,20,30,15,
6,1,10,20,5,45,45,10,6,10,15,30,10,60,30,6,45,10,6,5,5,10,15,15,30,6,10,10,10,
18,15,15,30,6,5,10,1,6,5,3,1,1],[1,1,90,1,10,20,3,15,45,6,1,10,20,30,30,30,60,
60,5,45,45,10,6,36,1,15,15,30,10,30,60,6,15,10,10,10,6,18,18,5,5,10,15,15,30,
6,12,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,1,12,36,54,1,2,2,4,4,3,6,6,
18,9,18,27,216,1,2,2,12,12,4,4,4,18,12,12,12,12,12,12,18,18,18,18,36,36,36,36,
36,9,9,18,9,18,27,27,27,27,54,54,1,2,2,4,4,1,6,6,6,6,2,2,9,9,6,6,6,6,6,6,6,6,
12,12,12,12,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,9,27,27,27,27,27,27,
1,2,2,3,3,4,4,4,4,4,4,4,6,6,6,6,12,12,12,12,12,12,12,12,12,6,6,9,9,9,9,9,9,9,
6,6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,27,1,2,2,2,2,2,2,2,2,3,3,
4,4,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,9,9,9,9,9,9,
9,18,18,1,1,1,4,4,1,1,1,2,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,9,1,
1,1,2,2,2,2,4,4,1,3,3,3,3,3,3,6,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[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],[1,1,30,20,20,15,45,15,36,20,20,40,120,15,15,
45,45,45,45,45,10,36,20,60,60,20,60,60,15,45,15,45,45,45,45,10,40,36,15,15,60,
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,
20,1,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,72,20,60,60,20,60,
60,15,45,15,45,45,45,45,10,10,10,36,36,36,15,15,60,60,45,10,10,10,36,15,15,15,
15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,90,1,10,20,3,10,30,15,45,6,1,10,
20,30,30,30,60,60,5,15,30,15,45,45,45,45,90,10,6,36,1,10,10,10,15,15,30,30,10,
10,20,60,30,30,60,6,15,15,45,45,45,45,45,10,10,10,6,18,18,5,5,10,10,15,15,15,
15,15,15,30,10,30,30,30,30,30,30,60,6,12,45,10,10,10,10,10,10,10,6,18,18,5,5,
15,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,1,6,6,6,5,
5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,1,20,60,90,1,10,20,3,10,15,30,45,360,6,1,10,
20,20,20,20,30,60,20,60,60,20,20,30,30,60,60,60,5,15,15,30,45,45,45,45,90,10,
6,36,1,10,10,10,15,15,10,10,30,30,20,60,30,30,60,60,60,60,60,60,60,60,60,120,
6,15,15,45,45,45,45,45,10,20,20,10,10,20,20,6,18,18,10,5,5,10,15,15,15,15,15,
15,10,30,30,30,30,30,30,30,60,6,12,45,10,10,10,10,10,10,10,20,20,20,20,6,18,
18,5,5,15,15,15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,1,
6,6,6,5,5,5,10,1,3,3,6,5,1,3,1,1,1,1],[1,1,1,20,20,40,40,45,36,1,20,20,40,40,
15,15,45,10,20,20,40,40,36,45,60,60,36,45,10,20,20,40,40,36,15,15,15,15,30,30,
45,10,36,10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,1,30,30,
90,20,20,1,15,15,15,45,15,45,360,36,20,20,40,120,40,60,60,60,60,120,15,15,45,
45,45,15,45,45,15,45,45,45,45,45,45,45,45,45,45,90,90,10,36,72,20,20,20,20,60,
60,60,60,20,20,60,60,60,60,120,120,120,120,15,15,45,45,15,15,45,45,15,15,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,
10,40,40,36,36,36,15,15,20,60,20,60,60,60,60,60,60,60,60,60,60,60,15,45,15,45,
45,45,45,45,45,45,45,45,45,45,45,10,20,20,10,10,20,20,40,40,36,36,36,15,15,15,
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],[1,1,30,1,20,20,40,40,15,15,45,36,1,20,20,30,40,40,
40,120,120,120,15,15,45,45,45,45,45,10,20,20,40,40,36,15,15,20,20,45,60,60,60,
60,120,120,36,15,15,45,45,45,45,45,10,20,20,40,40,40,40,40,40,120,36,15,15,15,
15,30,30,45,45,45,45,45,60,60,10,36,45,10,20,20,20,20,40,40,60,60,60,60,36,15,
15,15,15,15,15,15,15,30,30,45,45,45,45,45,10,40,36,10,10,10,15,15,60,60,15,15,
45,10,20,20,6,6,36,10,15,15,15,15,15,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,
1],[1,1,270,1,20,20,40,40,3,45,135,36,1,20,20,40,40,90,180,180,180,180,360,
360,360,360,15,15,45,135,135,135,135,10,20,20,40,40,36,216,1,45,45,60,60,60,
60,180,180,360,360,36,45,45,45,135,135,135,135,10,20,20,30,30,40,40,60,60,60,
60,120,120,120,120,36,108,108,15,15,15,15,30,30,45,45,45,45,45,180,180,10,36,
72,135,10,20,20,30,30,60,60,60,60,120,120,108,15,15,15,15,45,45,45,45,45,45,
45,45,45,90,90,10,10,10,36,36,36,10,15,15,30,30,60,60,45,45,45,10,10,10,6,6,
36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,1,90,1,20,
20,40,40,45,45,45,36,1,20,20,30,40,40,120,120,120,360,15,15,45,135,135,135,
135,10,20,20,40,40,36,15,15,45,60,60,60,60,120,120,180,180,36,45,45,45,135,
135,135,135,10,20,20,40,40,40,120,120,120,120,36,15,15,15,15,30,30,45,45,45,
45,45,180,180,10,36,135,10,20,20,60,60,60,60,60,60,120,120,108,15,15,15,15,45,
45,45,45,45,45,45,45,45,90,90,10,40,36,10,15,15,30,30,60,60,45,45,45,10,20,20,
6,6,36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,1,30,
90,270,1,20,20,40,40,3,15,15,45,45,45,135,1080,36,1,20,20,30,30,40,40,40,90,
120,120,120,120,120,120,180,180,180,180,360,360,360,360,360,15,15,45,45,45,45,
45,45,45,135,135,135,135,135,135,135,135,135,135,270,270,10,20,20,40,40,36,
216,1,15,15,15,15,20,20,45,45,60,60,60,60,60,60,60,60,120,120,120,120,180,180,
180,180,360,360,360,360,360,360,360,360,360,360,360,36,15,15,45,45,45,45,45,
45,45,45,45,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,
135,135,135,135,135,135,135,135,10,20,20,30,30,40,40,40,40,40,40,40,60,60,60,
60,120,120,120,120,120,120,120,120,120,36,108,108,15,15,15,15,15,15,30,30,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,60,60,60,60,90,90,180,180,180,180,
180,180,180,180,180,180,360,360,10,36,72,45,45,45,135,135,135,135,135,135,135,
135,135,135,135,135,10,20,20,20,20,20,20,20,20,30,30,40,40,60,60,60,60,60,60,
60,60,60,60,120,120,120,120,120,120,120,120,120,120,120,120,120,120,36,108,
108,15,15,15,15,15,15,15,15,15,15,15,15,30,30,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,90,90,90,90,180,180,10,10,10,40,40,36,36,36,135,10,10,10,15,15,20,20,30,30,
30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,108,15,15,15,15,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,
90,10,10,10,20,20,20,20,40,40,6,6,36,36,36,10,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,30,30,30,30,30,30,60,60,45,45,45,10,10,10,10,10,10,10,20,20,20,20,
6,6,18,18,18,18,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,30,6,6,10,10,10,
10,10,10,10,18,18,15,15,1,6,6,6,6,6,6,10,1,3,3,6,6,1,3,1,1,1,1]],
[1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,27,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,54,60,60,
60,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,108,120,120,
120,120,120,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,192,192,192,216,216,216,216,216,216,216,216,216,
216,216,240,240,240,240,240,240,240,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,360,360,432,432,432,432,432,432,432,480,480,576,576,720,
720,720,720,720,720,720,864,1440,1440,1440,1440,1440,2160,2880,4320,4320,4320,
8640],
[502,502,461,394,224,502,475,477,447,448,498,482,483,437,435,436,336,64,455,
502,477,475,461,465,447,448,448,383,365,359,365,350,359,359,327,326,326,327,
211,212,212,211,207,483,482,435,435,435,437,435,435,436,336,336,336,336,336,
336,336,336,336,336,216,218,491,477,475,448,447,455,269,502,482,483,482,483,
477,475,435,435,431,431,434,433,433,434,432,432,359,352,365,364,326,326,327,
327,212,207,212,212,211,203,212,207,212,203,200,455,482,483,435,435,437,436,
435,435,436,437,435,336,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,491,475,477,470,470,448,448,448,448,
448,448,447,434,434,433,433,365,350,365,359,365,364,362,365,364,455,366,366,
483,483,482,482,483,482,461,460,435,435,435,435,435,435,435,435,435,435,435,
435,435,435,435,431,433,432,434,368,370,326,327,326,327,327,327,326,326,327,
326,211,212,491,455,409,436,435,437,336,336,336,336,336,336,336,336,336,336,
336,336,491,475,475,477,475,477,477,475,477,470,470,448,447,434,433,432,431,
434,434,433,434,433,433,350,364,365,365,350,365,365,362,365,359,364,365,359,
362,455,366,366,482,483,482,482,482,482,482,483,483,483,483,483,461,460,435,
435,437,435,435,435,435,435,435,435,435,435,435,435,436,435,435,435,435,435,
435,435,435,436,435,435,437,435,435,435,436,435,435,435,437,436,437,396,397,
396,397,326,327,491,491,491,448,448,455,455,455,336,491,491,491,483,482,477,
475,470,470,470,470,433,432,432,434,434,433,434,431,434,434,431,433,433,434,
433,433,364,365,366,482,483,483,482,435,435,435,435,435,435,435,437,436,436,
435,435,435,435,437,437,437,436,435,437,436,436,437,436,435,396,397,491,491,
491,477,477,475,475,448,448,495,496,455,455,455,491,483,483,482,483,482,483,
482,482,483,483,483,482,482,482,470,470,470,470,470,470,433,434,435,436,437,
491,491,491,491,491,491,491,475,477,475,477,495,496,481,480,481,480,455,483,
482,483,482,482,483,483,482,482,483,483,482,482,483,470,496,495,491,491,491,
491,491,491,491,480,481,482,483,502,496,496,496,495,495,495,491,502,498,498,
495,496,502,498,502,502,502,502],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,8,1,6,10,1,10,8,1,1,7,8,8,
7,9,10,10,9,1,2,2,2,2,1,2,1,1,2,1,1,2,1,2,2,1,2,2,2,1,1,1,1,1,1,1,1,19,6,1,6,
6,1,8,7,1,6,1,7,7,8,1,1,1,8,1,1,10,9,1,8,1,7,10,8,10,10,9,8,10,8,10,8,6,1,2,2,
2,15,2,2,15,15,2,2,15,15,15,2,2,15,15,1,15,2,15,15,1,1,2,2,15,2,15,2,2,15,15,
15,2,1,1,1,65,65,66,8,8,1,8,8,1,67,67,66,66,10,8,10,1,68,69,6,68,69,19,1,19,
20,2,45,2,44,20,44,45,6,20,2,1,20,20,1,6,20,20,1,6,20,6,2,22,21,21,22,6,6,2,7,
8,2,22,7,8,21,7,8,9,10,1,1,108,2,15,2,15,15,15,15,15,15,15,15,2,15,15,15,65,7,
67,8,7,66,8,6,6,1,65,8,7,1,6,8,7,6,7,8,67,66,1,65,69,68,68,65,68,68,66,10,66,
9,68,66,66,19,19,19,20,2,45,2,174,174,20,176,176,44,20,20,44,45,79,79,45,79,
20,15,20,15,6,2,79,20,79,15,44,20,79,79,79,79,20,6,79,176,79,20,174,6,20,20,
176,15,79,20,45,44,174,178,179,178,179,21,22,213,213,1,8,66,19,6,108,15,65,
144,144,44,45,146,145,65,144,65,144,21,21,65,145,67,20,67,22,22,20,65,66,146,
67,66,66,69,68,70,174,20,176,20,79,15,20,79,79,79,79,174,176,176,79,79,79,79,
45,174,174,176,79,174,44,176,174,176,79,178,179,65,213,6,8,66,7,67,213,213,
407,408,108,19,108,231,173,340,45,176,341,340,175,175,173,44,176,174,341,174,
231,231,65,231,144,144,146,145,79,176,174,330,213,144,213,65,330,144,145,146,
213,213,407,408,407,408,407,408,214,176,175,173,341,341,340,340,174,341,340,
340,341,341,340,231,408,407,398,398,330,213,330,398,231,408,407,341,340,484,
408,471,471,407,472,472,398,484,484,484,472,471,484,484,484,497,497,497],
[( 1, 24, 6, 19)( 2, 31, 13, 20)( 3, 30, 12, 21)( 4, 35, 17, 22)
( 5, 25, 7, 23)( 8, 33, 15, 26)( 9, 36, 18, 27)( 10, 29, 11, 28)
( 14, 34, 16, 32)( 37, 54, 42, 55)( 38, 49, 46, 56)( 39, 59, 45, 57)
( 40, 53, 48, 58)( 41, 60, 43, 50)( 44, 51, 47, 52)( 61, 85, 65, 81)
( 62, 89, 69, 82)( 63, 88, 68, 83)( 64, 86, 66, 84)( 67, 90, 70, 87)
( 71,110, 80,101)( 72,103, 73,102)( 74,108, 78,104)( 75,106, 76,105)
( 77,109, 79,107)( 91,130, 95,127)( 92,125, 99,120)( 93,133, 98,128)
( 94,131, 96,129)( 97,134,100,132)(111,152,118,145)(112,147,113,146)
(114,151,117,148)(115,150,116,149)(119,163,122,161)(121,164,123,162)
(124,159,126,156)(135,140,139,138)(136,185,143,181)(137,184,142,182)
(141,186,144,183)(153,204,160,201)(154,198,155,197)(157,203,158,202)
(165,199,168,200)(166,192,171,190)(167,206,169,205)(170,208,172,207)
(173,195,176,188)(174,215,179,211)(175,213,177,212)(178,216,180,214)
(187,220,191,219)(189,218,194,217)(193,210,196,209)(221,224,222,223)
(225,229,228,231)(226,236,227,235)(230,233,232,234)(237,240,238,239),
( 1, 16,165,119, 81,191,139, 95, 65, 42, 6, 14,168,122, 85,187,135, 91, 61,
37)( 2, 56, 30,109,222,195,143, 99, 69, 46, 13, 49, 21,107,221,188,136, 92,
62, 38)( 3,175,129,179,133,194,142, 98, 68, 45, 12,177,131,174,128,189,137,
93, 63, 39)( 4,217,182,162,160,118, 80, 60, 35, 48, 17,218,184,164,153,111,
71, 50, 22, 40)( 5,150,166,120, 82,192,140, 96, 66, 43, 7,149,171,125, 89,
190,138, 94, 64, 41)( 8, 10,186,231,215,196,144,100, 70, 47, 15, 11,183,229,
211,193,141, 97, 67, 44)( 9, 24, 31,105,156,114, 74, 53, 26, 36, 18, 19, 20,
106,159,117, 78, 58, 33, 27)( 23,101, 79, 59, 34,103,155,113, 73, 52, 25,110,
77, 57, 32,102,154,112, 72, 51)( 28,108, 83,180,134,163,158,116, 76, 55, 29,
104, 88,178,132,161,157,115, 75, 54)( 84,212,181,234,224,198,147,145,169,123,
86,213,185,233,223,197,146,152,167,121)( 87,176,130,236,227,203,205,210,172,
126, 90,173,127,235,226,202,206,209,170,124)(148,207,219,232,216,239,237,225,
201,200,151,208,220,230,214,240,238,228,204,199)],
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1],[3,2,2,2,1,1,2,2,1,-1]],[[2,1,1,1],[1,1,2,4,3,-2]]],[[[1,1,2,1],[3,1,2,2,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,
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1,-1]]],[[[1,1,2,1],[3,1,2,2,1,-1,3,-1,2,-2,1,-1,2,-1]],[[1,1,2,1],[3,1,1,-2,
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2,2]],[[1,1,2,1],[2,1,3,-3,2,1]]],[[[1,1,2,1],[3,2,1,1,2,-1]],[[1,1,2,2,1,
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1,1,2,-1],[3,1,1,1,2,1,3,1]],[[1,1,2,-2,1,-1]]],[[[2,2,1,-1,2,-2]],[[1,-1,2,
-2,1,-1]],[[2,1,1,-1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,1,1,-1]]],[[[2,
5]],[[2,1,1,-1,2,2]],[[1,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[2,2]],[[1,1,2,2,1,
-1]]],[[[2,1,1,1,2,-1]],[[2,2]]],[[[1,1,2,1],[2,1,3,2]],[[2,2]]],[[[2,2,1,1,2,
-2]],[[1,1,2,-1,1,-1]]],[[[1,1,2,5,1,-1]],[[1,1,2,1,1,-1,2,1,1,1]],[[2,
-1]]],[[[1,1,2,1,1,1,2,-1]],[[2,2]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[1,1,2,2]],[[
2,2]]],[[[2,2]],[[2,1,1,-1]]],[[[1,1,2,-1,1,-1]],[[2,-1]]],[[[2,1,1,-1,2,
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AFLT( "2.2^6.L3(2)","2.S6(2)",[1,2,3,4,3,4,7,8,13,9,15,14,10,11,12,9,13,16,14,
12,16,16,15,17,14,14,17,18,12,16,18,22,34,35,30,33,26,27,36,37,45,46,41,55,56,
38,40,71,58,45,56,42,74,47,73,57,49,45,48,45,40,39,43,50,60,61,65,62,77,59,58,
73,78,74,56,55,47,66,72,79,39,75,51,51,49,46,43,51,64,63,60,80,62,80,63,52,64,
81,47,59,63,81,54,77,69,78,44,80,76,83,64,61,79,53,81,71,79,75,67,68,56,82,72,
85,87,86,82,86,86,53,83,84,52,89,48,67,54,88,58,70,84,76,84,72,86,82,122,123,
122,122,120,107,123,110,121,106,98,101,113,115,117,112,124,128,133,141,134,
129,130,136,137,131,128,134,171,135,177,184,168,178,131,137,139,148,172,149,
140,248,171,138,232,176,141,154,177,168,182,170,180,129,155,179,231,169,185,
145,132,175,248,181,183,184,142,173,248,178,143,141,146,175,230,157,185,162,
190,232,180,188,251,186,147,142,158,144,215,179,187,182,235,144,249,146,186,
170,252,250,249,188,251,250,251,252,249,252,227,233,154,155,161,188,181,169,
184,156,132,183,250,236,153,187,144,214,228,135,192,211,187,191,152,186,174,
253,145,231,176,173,212,237,238,254,189,234,192,184,242,241,197,214,160,234,
201,196,147,159,200,161,202,162,169,194,166,245,253,166,236,204,218,166,248,
246,167,240,157,255,181,180,207,151,150,199,244,191,239,198,158,170,195,216,
235,147,163,243,233,217,256,258,247,193,220,213,215,254,219,229,205,259,156,
206,257,260,205,167,201,224,203,225,221,163,203,197,210,208,204,209,202,261,
210,165,194,203,264,186,185,252,208,213,209,198,223,263,262,216,229,226,210,
250,164,222,193,209,208,265,255,291,338,337,296,323,295,325,326,339,323,297,
324,323,296,300,340,301,301,339,339,328,319,344,328,325,304,340,327,328,324,
347,332,305,346,356,383,397,377,357,385,373,410,408,413,427,376,405,400,396,
363,358,411,359,487,438,496,387,416,457,376,417,366,477,427,488,374,384,386,
428,439,443,444,469,476,418,355,500,393,408,375,415,487,404,401,412,405,399,
419,382,409,429,470,410,365,414,400,402,420,494,388,495,487,395,406,501,480,
456,394,385,383,488,398,488,450,413,377,379,449,359,389,421,363,369,422,407,
541,542,545,419,510,539,491,549,539,545,498,543,424,391,545,542,530,417,418,
391,379,508,542,390,547,546,489,498,479,531,423,495,423,407,392,555,540,499,
489,406,504,404,373,541,492,382,559,489,490,473,471,451,458,420,360,414,532,
555,480,511,507,544,490,380,506,490,478,538,540,474,538,454,493,501,438,378,
541,481,498,452,558,430,403,390,493,496,429,431,412,432,491,544,543,434,387,
391,367,388,492,361,492,502,390,428,402,463,401,512,464,499,491,439,384,540,
494,427,555,455,482,433,447,546,462,386,544,446,437,497,443,430,403,493,497,
430,505,461,497,499,543,472,546,407,381,556,557,453,503,448,459,423,409,548,
539,513,444,440,460,475,538,436,445,399,364,500,403,369,516,514,512,482,550,
533,488,554,487,513,517,404,484,502,537,462,451,466,467,521,536,459,526,566,
565,561,523,524,525,555,453,522,442,425,567,441,465,368,560,370,437,486,440,
520,452,372,553,485,426,509,362,519,534,555,558,559,564,483,562,435,468,481,
417,518,551,364,527,535,532,552,563,511,515,549,510,455,529,528,560,565,371,
372,541,601,649,660,698,668,671,623,635,670,659,633,616,667,617,622,637,610,
628,627,609,634,636,638,674,672,662,629,643,659,626,671,671,667,623,673,617,
645,669,670,648,699,698,661,634,639,618,608,644,666,662,629,720,721,738,729,
726,739,727,735,740,730,735,733,743,739,749,748,762,753,770,754,793,792,771,
736,758,750,741,785,784,759,745,744,764,728,778,796,731,782,797,755,733,734,
740,802,756,801,774,860,773,748,898,776,884,790,856,766,882,859,872,789,799,
753,819,853,760,825,732,765,742,855,827,779,900,862,813,885,797,861,817,881,
787,747,786,772,746,892,788,896,791,763,751,741,887,796,897,757,887,879,830,
764,814,782,780,887,831,894,875,778,798,768,818,874,783,775,752,878,761,868,
777,883,737,762,795,844,794,869,891,864,919,843,908,920,820,889,872,816,836,
860,808,841,916,890,800,888,911,767,867,863,769,853,780,873,883,888,910,842,
880,798,781,765,889,781,889,904,767,821,916,804,878,844,909,881,918,868,857,
866,833,783,917,829,813,768,806,803,815,870,901,926,927,811,924,925,832,884,
827,890,891,915,769,763,837,917,917,779,823,742,903,801,761,840,766,799,800,
882,890,858,826,896,839,838,769,810,800,876,802,819,809,767,877,886,781,871,
805,912,913,895,914,905,888,916,801,891,835,893,787,796,814,747,757,865,899,
922,777,921,834,824,822,869,902,802,764,828,907,854,906,923,859,835,877,845,
848,812,807,849,847,850,852,876,846,851,834,961,960,993,978,991,961,1015,992,
962,994,1016,1046,1042,1045,962,1051,1019,1037,1041,997,996,1021,971,1043,970,
988,1008,1022,1007,1020,989,972,973,971,1052,1026,1043,990,1041,1027,1068,
1069,1077,1083,1086,1082,1093,1094,1088,1102,1118,1104,1131,1090,1129,1119,
1122,1121,1095,1097,1080,1126,1106,1087,1127,1125,1078,1133,1099,1135,1098,
1091,1137,1105,1117,1114,1084,1113,1139,1130,1170,1174,1139,1172,1168,1177,
1176,1190,1143,1164,1165,1182,1128,1158,1134,1173,1187,1144,1142,1117,1191,
1166,1107,1120,1159,1079,1195,1092,1153,1152,1151,1154,1136,1125,1189,1097,
1156,1116,1161,1178,1108,1124,1127,1138,1137,1082,1081,1192,1190,1118,1169,
1155,1147,1171,1103,1109,1132,1146,1096,1175,1104,1162,1150,1190,1179,1193,
1160,1100,1089,1110,1111,1149,1085,1115,1140,1194,1123,1184,1112,1141,1101,
1128,1200,1200,1185,1169,1148,1179,1170,1188,1186,1201,1183,1138,1197,1157,
1112,1200,1162,1198,1180,1167,1181,1145,1196,1199,1150,1177,1163,1236,1235,
1237,1294,1242,1264,1245,1259,1285,1287,1261,1260,1243,1258,1271,1262,1295,
1296,1297,1244,1286,1304,1240,1263,1305,1303,1296,1298,1272,1326,1320,1264,
1271,1265,1241,1266,1319,1321,1322,1259,1317,1316,1330,1272,1298,1366,1361,
1370,1362,1364,1383,1378,1384,1382,1376,1399,1397,1401,1365,1363,1386,1388,
1389,1391,1392,1394,1377,1379,1395,1398,1373,1396,1368,1385,1400,1372,1380,
1381,1369,1367,1390,1407,1385,1410,1396,1378,1405,1393,1406,1387,1371,1409,
1374,1383,1402,1403,1375,1404,1408,1411,1443,1444,1442,1439,1466,1498,1497,
1459,1496,1453,1480,1484,1492,1487,1485,1465,1469,1468,1449,1475,1481,1486,
1478,1499,1477,1493,1482,1494,1474,1456,1495,1503,1494,1470,1457,1468,1479,
1524,1522,1523,1536,1525,1527,1528,1531,1532,1533,1534,1529,1530,1535,1526,
1566,1563,1580,1581,1579,1577,1578,1585,1587,1610,1622,1628,1620,1630,1629,
1624,1649,1647,1648,1654,1653,1677] );
AFLT( "2.(S3xS6)","2.S6(2)",[1,2,3,4,4,5,5,7,7,6,8,8,13,9,9,15,15,18,19,20,22,
20,24,28,22,30,21,29,31,26,32,33,23,25,29,34,35,29,34,32,31,35,27,37,39,38,79,
55,38,66,65,71,61,60,76,67,40,73,67,75,76,72,61,53,90,91,90,92,91,94,95,96,99,
104,97,118,106,96,100,105,99,97,97,98,120,99,101,107,119,101,108,98,121,110,
100,105,114,113,111,114,110,117,109,115,108,112,116,127,146,133,230,211,150,
148,227,212,139,151,228,256,213,192,241,216,255,242,257,156,217,218,240,235,
140,239,229,152,218,197,158,220,217,219,198,266,266,267,270,272,276,280,277,
268,279,278,267,270,272,273,271,284,283,281,269,274,271,282,275,273,288,290,
289,302,306,292,307,295,311,293,297,333,316,331,329,318,315,314,334,312,317,
313,342,303,341,308,311,304,319,311,343,345,332,343,346,308,312,341,347,305,
343,344,344,348,350,353,354,358,436,362,509,521,530,441,564,535,534,563,435,
518,560,442,568,569,568,574,569,579,573,569,571,585,580,575,571,585,577,576,
570,570,570,572,580,581,586,591,581,582,588,593,589,594,590,578,584,572,595,
583,592,596,598,597,650,654,602,656,614,613,651,633,616,622,657,652,620,608,
685,696,604,681,682,702,665,703,693,663,687,704,706,701,610,653,684,695,688,
680,683,676,686,638,697,664,632,679,658,677,636,700,675,678,605,627,615,642,
618,642,639,666,658,708,707,711,715,714,724,722,725,812,930,932,928,934,935,
937,928,931,929,939,933,947,949,940,929,939,946,943,945,945,945,943,948,938,
943,941,944,944,942,950,963,1013,970,1014,1036,1038,1031,1047,1044,1032,1034,
966,1008,989,1050,1049,1039,1035,956,983,984,1022,1040,986,996,972,965,1020,
1033,1023,990,1058,1054,1055,1059,1063,1055,1058,1065,1064,1070,1071,1074,
1073,1075,1202,1206,1217,1209,1222,1216,1218,1208,1207,1210,1211,1213,1214,
1219,1215,1204,1203,1225,1205,1223,1224,1226,1223,1331,1317,1257,1345,1346,
1344,1342,1339,1332,1343,1343,1348,1342,1349,1350,1352,1351,1354,1356,1358,
1360,1426,1414,1424,1422,1427,1418,1421,1413,1423,1420,1417,1415,1416,1425,
1428,1446,1445,1515,1510,1504,1506,1508,1516,1507,1518,1520,1547,1546,1555,
1560,1561,1558,1557,1562,1559,1584,1611,1614,1615,1617,1618,1635,1651,1662,
1661,1660,1671] );
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#E