GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm2s62m6.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm2s62m6.tom,v 4.2 2001/07/05 06:51:36 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of sixth maximal subgroup of the
## ATLAS group $2.S6(2)$
##
#H tomlib history
#H --------------
#H $Log: tm2s62m6.tom,v $
#H Revision 4.2 2001/07/05 06:51:36 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/tm2s62m6.tom,v
#H Working file: tm2s62m6.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:18:54; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:31:13; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tm2s62m6_tom :=
"@(#)$Id: tm2s62m6.tom,v 4.2 2001/07/05 06:51:36 gap Exp $";
SetActualLibFileName("tm2s62m6");
LIBTOM( "2^2.[2^6].(S3xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
2,3,13],[1,2,14],[1,2,15],[1,3,16],[1,3,17],[1,2,4,18],[1,2,19],[1,2,20],[1,2,
5,21],[1,2,6,22],[1,2,23],[1,3,24],[1,5,25],[1,2,26],[1,3,5,27],[1,2,7,28],[1,
2,8,29],[1,5,30],[1,5,31],[1,3,8,32],[1,5,33],[1,8,34],[1,5,8,35],[1,5,6,36],[
1,5,7,37],[1,4,5,7,38],[1,2,9,39],[1,5,40],[1,5,9,41],[1,5,9,42],[1,4,7,8,
43],[1,5,9,44],[1,5,8,45],[1,7,8,46],[1,3,9,47],[1,6,7,9,48],[1,4,6,9,49],[1,
2,10,50],[1,2,11,51],[1,4,10,52],[1,3,10,53],[1,3,11,54],[1,3,11,55],[1,2,12,
56],[1,7,10,57],[1,3,12,58],[1,6,12,59],[1,9,10,60],[1,6,10,61],[1,9,12,62],[
1,9,12,63],[1,9,10,64],[1,9,11,65],[1,4,12,66],[1,9,12,67],[1,9,11,68],[1,2,
15,69],[1,3,16,70],[1,2,3,13,14,15,71],[1,2,14,15,72],[1,2,3,13,16,17,73],[1,
3,16,17,74],[1,2,3,5,13,21,27,75],[1,2,3,13,20,76],[1,2,15,23,77],[1,2,15,
78],[1,2,5,21,31,79],[1,2,15,80],[1,2,20,81],[1,2,6,15,22,82],[1,2,3,4,13,18,
19,83],[1,2,20,84],[1,2,19,20,85],[1,2,8,15,29,86],[1,2,3,8,13,29,32,87],[1,2,
5,14,20,21,88],[1,2,8,14,29,89],[1,2,5,15,20,21,90],[1,2,4,18,20,91],[1,2,20,
26,92],[1,2,3,13,24,93],[1,2,7,20,28,94],[1,2,6,14,22,23,95],[1,2,3,6,13,22,
23,96],[1,3,24,97],[1,3,5,27,31,98],[1,3,24,99],[1,2,8,29,34,100],[1,2,8,14,
20,29,101],[1,2,14,19,26,102],[1,3,5,17,24,27,103],[1,2,20,26,104],[1,3,8,17,
32,105],[1,2,8,20,29,106],[1,2,4,5,7,18,21,28,38,107],[1,2,5,21,25,30,108],[1,
2,5,6,21,22,36,109],[1,3,8,16,32,110],[1,2,5,21,23,111],[1,2,20,112],[1,2,4,
18,19,20,113],[1,2,20,23,114],[1,2,5,20,21,115],[1,2,5,7,19,21,28,116],[1,2,5,
21,26,117],[1,2,20,118],[1,2,5,19,21,26,119],[1,2,20,120],[1,2,5,8,15,21,29,
121],[1,2,4,7,14,18,28,122],[1,2,5,21,33,123],[1,2,15,26,124],[1,2,8,15,20,29,
125],[1,3,5,16,24,27,126],[1,2,7,20,28,127],[1,2,3,7,13,26,28,128],[1,2,5,8,
21,29,35,129],[1,2,7,15,28,130],[1,2,7,20,26,28,131],[1,2,5,8,14,21,29,132],[
1,2,5,7,21,28,37,133],[1,2,7,15,19,28,134],[1,2,6,20,22,135],[1,2,4,15,18,26,
136],[1,2,4,5,18,21,26,137],[1,2,20,138],[1,3,8,32,34,139],[1,2,8,19,26,29,
140],[1,2,20,141],[1,2,5,7,21,26,28,142],[1,2,15,143],[1,3,5,8,16,27,32,144],[
1,2,5,21,40,145],[1,3,5,27,30,33,146],[1,2,5,8,20,21,29,147],[1,2,9,14,39,
148],[1,2,5,6,21,22,23,149],[1,2,5,9,21,39,41,42,150],[1,2,9,20,39,151],[1,2,
5,9,21,39,44,152],[1,2,9,20,39,153],[1,3,5,8,27,32,45,154],[1,2,20,155],[1,3,
5,25,27,33,156],[1,3,5,8,27,32,45,157],[1,2,8,20,29,158],[1,2,7,8,26,28,29,
159],[1,2,7,8,26,28,29,160],[1,3,5,8,27,32,35,161],[1,3,24,162],[1,3,5,24,27,
163],[1,2,4,7,8,18,28,29,43,164],[1,2,7,20,26,28,165],[1,3,8,17,24,32,166],[1,
2,9,15,39,167],[1,2,6,20,22,23,168],[1,3,24,169],[1,2,7,8,19,28,29,170],[1,3,
8,24,32,171],[1,2,4,8,18,26,29,172],[1,2,7,8,28,29,46,173],[1,2,3,9,13,39,47,
174],[1,2,7,14,26,28,175],[1,3,5,8,17,27,32,176],[1,3,8,16,24,32,177],[1,2,8,
26,29,178],[1,2,5,8,21,29,45,179],[1,4,5,7,31,37,38,180],[1,3,9,16,47,181],[1,
3,9,24,47,182],[1,5,6,7,25,36,37,183],[1,3,5,9,27,41,44,47,184],[1,3,9,24,47,
185],[1,4,5,7,30,38,40,186],[1,4,5,7,25,38,40,187],[1,3,8,24,32,188],[1,2,9,
23,26,39,189],[1,5,8,9,25,35,41,190],[1,5,6,7,30,36,37,191],[1,3,9,17,47,
192],[1,2,7,9,23,28,39,193],[1,5,9,30,31,42,194],[1,3,16,195],[1,2,4,9,18,23,
39,196],[1,3,5,9,27,42,44,47,197],[1,5,8,9,30,35,41,198],[1,2,6,9,22,26,39,
199],[1,2,4,6,9,18,22,39,49,200],[1,3,5,8,24,27,32,201],[1,2,6,7,9,22,28,39,
48,202],[1,2,9,19,23,39,203],[1,2,6,9,19,22,39,204],[1,5,9,25,31,42,205],[1,4,
7,8,34,43,46,206],[1,5,7,9,37,40,41,207],[1,5,8,9,33,35,41,208],[1,5,8,9,33,
44,45,209],[1,4,5,7,8,35,37,38,43,46,210],[1,4,5,6,7,9,36,38,41,48,49,211],[1,
5,7,9,37,40,42,212],[1,5,9,31,33,42,213],[1,5,6,8,35,36,40,214],[1,4,5,6,7,9,
36,38,42,48,49,215],[1,5,8,9,33,44,45,216],[1,5,8,9,25,44,45,217],[1,5,6,31,
36,40,218],[1,5,8,9,30,44,45,219],[1,10,11,12,220],[1,2,3,10,13,50,53,221],[1,
2,10,19,50,222],[1,2,4,10,18,50,52,223],[1,2,3,11,13,51,54,55,224],[1,5,12,31,
225],[1,2,10,14,50,226],[1,2,10,15,50,227],[1,2,10,26,50,228],[1,2,7,10,28,50,
57,229],[1,2,6,12,22,56,59,230],[1,2,3,12,13,56,58,231],[1,2,12,23,56,232],[1,
2,10,23,50,233],[1,2,6,10,22,50,61,234],[1,2,9,10,39,50,60,235],[1,3,11,16,55,
236],[1,8,12,34,237],[1,2,9,10,39,50,64,238],[1,3,11,17,55,239],[1,2,9,12,39,
56,62,63,240],[1,3,9,11,47,55,65,241],[1,2,4,12,18,56,66,242],[1,2,9,12,39,56,
67,243],[1,2,12,19,56,244],[1,3,9,11,47,55,68,245],[1,4,6,9,10,49,52,61,64,
246],[1,2,9,11,39,51,65,68,247],[1,6,7,9,10,48,57,60,61,248],[1,3,9,12,47,58,
63,67,249],[1,4,6,9,12,49,59,62,66,250],[1,4,6,9,12,49,59,63,66,251],[1,3,9,
10,47,53,60,64,252],[1,3,9,11,47,54,65,68,253],[1,3,9,12,47,58,62,67,254],[1,
2,3,13,14,15,69,71,72,255],[1,2,3,13,16,17,70,73,74,256],[1,2,3,13,20,76,81,
257],[1,2,3,5,13,21,27,31,75,79,98,258],[1,2,3,13,20,76,84,259],[1,2,3,8,13,
29,32,34,87,100,139,260],[1,2,3,13,24,93,99,261],[1,2,3,13,24,93,97,262],[1,2,
3,13,16,17,20,73,76,263],[1,2,3,8,13,20,29,32,76,87,106,264],[1,2,3,5,13,20,
21,27,75,76,115,265],[1,2,3,13,20,24,76,93,266],[1,2,3,8,13,14,15,29,32,71,86,
87,89,267],[1,2,3,5,8,13,21,27,29,32,35,75,87,129,161,268],[1,2,3,5,13,14,15,
20,21,27,71,75,76,88,90,269],[1,2,3,13,14,15,71,78,80,270],[1,2,14,15,23,72,
77,78,271],[1,2,4,5,7,18,21,28,31,37,38,79,107,133,180,272],[1,2,4,18,19,20,
81,91,113,273],[1,2,5,19,21,26,31,79,117,119,274],[1,2,4,18,19,20,81,85,113,
275],[1,2,5,14,20,21,84,88,115,276],[1,2,15,23,69,77,80,277],[1,2,6,15,22,69,
78,82,278],[1,2,3,6,13,14,15,22,23,71,77,82,95,96,279],[1,2,5,15,20,21,84,90,
115,280],[1,2,4,15,18,26,69,124,136,281],[1,2,6,14,15,22,72,80,82,282],[1,2,7,
15,19,28,69,130,134,283],[1,2,5,14,19,20,21,26,85,88,92,102,119,284],[1,2,3,8,
13,16,17,29,32,73,87,105,110,285],[1,2,3,13,16,17,24,73,93,286],[1,2,3,5,13,
21,24,27,75,93,163,287],[1,2,3,13,20,24,76,93,288],[1,2,3,13,20,76,118,289],[
1,2,5,7,15,20,21,28,37,90,127,130,133,290],[1,2,5,15,20,21,80,90,291],[1,2,5,
7,15,19,20,21,28,85,90,94,116,134,292],[1,2,5,15,20,21,26,90,104,117,124,
293],[1,2,5,15,20,21,78,90,294],[1,2,3,5,8,13,21,27,29,32,45,75,87,154,157,
179,295],[1,2,3,13,16,17,20,73,76,296],[1,2,5,15,20,21,33,90,123,297],[1,2,5,
8,14,15,20,21,29,72,86,90,101,132,298],[1,2,3,5,13,21,24,27,75,93,299],[1,2,3,
7,13,20,26,28,76,92,94,128,131,300],[1,2,3,8,13,20,29,32,76,87,158,301],[1,2,
3,13,14,15,16,17,24,71,73,93,302],[1,2,3,4,13,18,19,20,76,83,85,91,113,303],[
1,2,3,8,13,24,29,32,87,93,171,304],[1,2,5,15,20,21,23,77,90,111,114,305],[1,2,
5,15,20,21,90,112,306],[1,2,3,13,20,76,138,307],[1,2,4,5,7,14,18,20,21,28,38,
88,91,94,107,122,308],[1,2,3,5,8,13,14,15,21,27,29,32,71,75,87,121,132,309],[
1,2,5,15,20,21,90,120,310],[1,2,5,6,15,20,21,22,36,82,90,109,135,311],[1,2,3,
8,13,14,15,20,29,32,71,76,87,101,125,312],[1,2,4,5,15,18,20,21,26,90,91,92,
136,137,313],[1,2,3,5,13,16,17,21,24,27,73,75,93,103,126,314],[1,2,3,5,8,13,
20,21,27,29,32,75,76,87,147,315],[1,2,5,15,20,21,25,30,90,108,316],[1,2,3,13,
14,15,24,71,93,317],[1,2,5,8,15,20,21,29,69,86,90,121,125,318],[1,2,6,20,22,
23,84,114,168,319],[1,2,6,20,22,23,84,135,168,320],[1,2,8,19,26,29,34,100,140,
178,321],[1,2,8,14,20,29,84,101,158,322],[1,3,5,16,24,27,97,126,163,323],[1,3,
5,17,24,27,97,103,163,324],[1,2,8,15,20,29,84,125,158,325],[1,2,4,7,8,18,28,
29,34,43,46,100,164,173,206,326],[1,2,5,9,14,20,21,39,41,42,88,148,150,153,
327],[1,2,3,13,20,76,112,120,328],[1,2,3,7,13,20,26,28,76,104,127,128,165,
329],[1,2,5,14,20,21,40,88,145,330],[1,2,5,8,15,20,21,29,45,86,90,158,179,
331],[1,2,4,7,8,18,19,20,28,29,43,94,106,113,164,170,332],[1,2,7,20,26,28,81,
92,104,131,165,333],[1,2,5,8,14,20,21,29,81,88,101,106,147,334],[1,2,4,5,7,14,
18,19,20,21,26,28,88,102,113,116,122,131,137,335],[1,2,3,5,7,13,21,26,27,28,
37,75,117,128,133,142,336],[1,2,8,14,19,20,26,29,85,101,102,104,140,337],[1,2,
4,7,14,15,18,26,28,72,122,130,136,175,338],[1,2,5,14,20,21,88,141,339],[1,2,5,
7,14,20,21,26,28,88,104,127,142,175,340],[1,2,5,15,20,21,90,118,138,341],[1,2,
7,8,15,20,28,29,46,94,125,127,130,173,342],[1,2,5,7,14,20,21,26,28,37,88,117,
133,165,175,343],[1,2,4,6,18,20,22,91,112,135,344],[1,2,5,19,20,21,85,115,138,
345],[1,2,5,6,14,20,21,22,23,36,88,95,109,111,168,346],[1,2,5,8,14,20,21,29,
31,35,79,88,129,132,147,347],[1,2,6,8,15,22,29,78,82,86,348],[1,2,7,8,14,20,
26,28,29,94,101,104,159,175,349],[1,2,4,7,8,18,20,26,28,29,43,91,106,131,164,
172,350],[1,2,7,8,15,19,26,28,29,86,124,134,140,159,351],[1,2,5,20,21,26,92,
115,118,352],[1,2,5,8,14,20,21,29,45,88,89,158,179,353],[1,2,5,6,15,20,21,22,
23,77,82,90,149,168,354],[1,2,5,7,19,21,26,28,31,37,79,116,119,133,142,355],[
1,2,5,15,20,21,90,143,356],[1,2,5,15,20,21,90,141,357],[1,2,5,8,15,20,21,29,
81,90,106,125,147,358],[1,2,5,9,15,20,21,39,41,42,90,150,151,167,359],[1,2,8,
15,23,29,77,78,86,360],[1,2,3,13,14,15,71,143,361],[1,2,3,4,5,7,13,18,19,21,
26,27,28,38,75,83,107,116,119,128,137,362],[1,2,20,26,84,92,138,363],[1,2,4,5,
7,8,18,21,28,29,35,37,38,43,46,107,129,133,164,173,210,364],[1,2,5,14,20,21,
88,155,365],[1,2,3,13,20,76,141,366],[1,2,5,15,20,21,40,90,145,367],[1,2,3,5,
8,13,21,24,27,29,32,75,87,93,201,368],[1,2,7,8,19,20,26,28,29,85,106,131,140,
170,369],[1,2,6,19,20,22,85,120,135,370],[1,2,7,20,26,28,81,94,127,131,165,
371],[1,2,4,7,8,15,18,26,28,29,43,86,130,136,160,164,372],[1,2,5,7,8,19,21,26,
28,29,35,37,119,129,133,159,170,373],[1,2,5,15,20,21,90,143,374],[1,2,5,8,15,
20,21,29,31,35,79,90,121,129,147,375],[1,2,4,8,18,19,20,26,29,92,106,113,140,
172,376],[1,2,19,20,84,85,118,377],[1,2,3,13,20,76,155,378],[1,2,3,8,13,20,24,
29,32,76,87,93,379],[1,2,3,8,13,24,29,32,87,93,188,380],[1,2,5,6,14,20,21,22,
23,88,95,114,135,149,381],[1,2,3,9,13,14,15,39,47,71,148,167,174,382],[1,2,5,
8,19,21,26,29,35,117,119,129,140,178,383],[1,2,7,8,15,19,28,29,46,86,130,134,
170,173,384],[1,2,4,7,8,14,18,20,28,29,43,91,101,122,127,164,385],[1,2,5,9,15,
20,21,39,44,90,152,153,167,386],[1,2,3,7,13,14,15,26,28,71,124,128,130,175,
387],[1,2,4,5,18,20,21,91,115,138,388],[1,2,7,14,15,19,26,28,72,102,124,134,
175,389],[1,2,5,7,20,21,28,94,115,118,390],[1,2,5,14,20,21,88,112,120,391],[1,
2,4,8,15,18,26,29,86,124,136,172,178,392],[1,2,8,15,23,29,77,80,86,393],[1,3,
5,8,16,24,27,32,70,110,126,144,177,394],[1,2,5,15,20,21,90,155,395],[1,2,4,18,
20,84,91,118,396],[1,2,19,20,23,85,112,114,397],[1,2,20,23,26,92,114,120,
398],[1,2,3,8,13,20,24,29,32,76,87,93,399],[1,2,3,5,13,21,25,27,30,33,75,108,
123,146,156,400],[1,2,5,8,14,15,20,21,29,72,88,89,101,121,125,132,401],[1,3,5,
16,24,27,126,162,402],[1,2,5,14,20,21,88,118,138,403],[1,2,3,4,7,13,14,15,18,
19,26,28,71,83,102,122,128,134,136,404],[1,2,3,5,13,20,21,24,27,75,76,93,
405],[1,2,3,5,8,13,16,17,21,27,29,32,73,75,87,144,176,406],[1,2,4,5,7,8,18,21,
26,28,29,35,38,107,117,129,160,172,407],[1,2,4,18,20,23,91,114,120,408],[1,2,
4,5,7,18,21,26,28,31,38,79,107,117,137,142,409],[1,2,5,7,15,20,21,26,28,90,
124,130,142,165,410],[1,2,3,9,13,20,39,47,76,151,153,174,411],[1,3,5,8,16,17,
24,27,32,74,110,126,166,176,412],[1,2,7,8,14,20,26,28,29,92,101,127,160,175,
413],[1,3,5,16,24,27,30,33,126,146,414],[1,2,4,5,7,15,18,19,20,21,26,28,38,90,
107,113,119,131,134,136,415],[1,2,8,15,20,26,29,92,104,124,125,178,416],[1,2,
5,15,20,21,78,80,90,417],[1,2,7,20,28,84,94,138,418],[1,2,6,20,22,26,92,112,
135,419],[1,2,3,8,13,16,17,24,29,32,73,87,93,166,177,420],[1,2,4,8,15,18,20,
26,29,91,104,125,136,172,421],[1,3,5,16,24,27,126,169,422],[1,2,3,5,6,13,21,
22,23,27,36,75,96,109,111,149,423],[1,3,5,16,24,25,27,33,126,156,424],[1,2,6,
7,20,22,28,94,120,135,425],[1,2,5,14,20,21,25,30,33,88,108,123,426],[1,2,3,6,
13,20,22,23,76,96,114,135,168,427],[1,2,3,8,13,24,29,32,87,93,428],[1,2,7,8,
15,19,20,28,29,85,125,127,134,170,429],[1,2,6,8,15,22,29,80,82,86,430],[1,2,3,
5,13,21,27,40,75,145,431],[1,2,7,20,23,28,94,112,114,432],[1,2,3,5,9,13,21,27,
39,41,42,44,47,75,150,152,174,184,197,433],[1,2,5,9,14,20,21,39,44,88,148,151,
152,434],[1,3,8,16,24,32,97,177,188,435],[1,3,8,17,24,32,97,166,188,436],[1,2,
8,20,23,29,106,114,141,437],[1,3,5,9,17,24,27,41,44,47,103,184,185,192,438],[
1,2,5,20,21,26,104,115,155,439],[1,2,5,6,9,19,21,22,26,36,39,41,42,109,119,
150,199,204,440],[1,3,5,8,16,24,27,32,35,45,110,126,157,161,188,441],[1,2,8,
14,20,29,101,118,155,442],[1,2,5,7,8,15,19,21,28,29,37,46,116,121,130,133,134,
170,173,443],[1,2,8,20,26,29,104,118,158,444],[1,2,5,9,20,21,39,115,120,153,
445],[1,2,7,8,20,28,29,94,155,158,446],[1,2,7,9,20,23,26,28,39,114,131,151,
189,193,447],[1,2,5,6,20,21,22,23,111,114,115,149,168,448],[1,2,7,9,15,19,23,
28,39,77,134,167,193,203,449],[1,2,5,8,14,20,21,29,45,101,115,132,158,179,
450],[1,2,5,6,8,21,22,29,35,36,40,109,129,145,214,451],[1,2,4,6,9,18,20,22,23,
39,49,91,153,168,196,200,452],[1,2,4,5,7,8,14,18,21,26,28,29,37,43,122,132,
133,137,160,164,175,453],[1,2,4,5,7,8,15,18,21,26,28,29,38,43,107,121,130,136,
142,159,164,454],[1,2,5,6,20,21,22,23,36,109,115,135,149,168,455],[1,3,5,17,
24,25,27,30,33,103,146,156,456],[1,2,4,5,7,8,18,20,21,26,28,29,38,43,91,107,
137,147,164,165,172,457],[1,2,5,8,15,20,21,29,45,115,121,125,158,179,458],[1,
2,15,23,26,77,124,143,459],[1,2,5,6,21,22,26,33,36,109,117,123,460],[1,2,7,8,
20,26,28,29,46,106,127,159,160,165,173,461],[1,2,8,20,26,29,92,155,158,462],[
1,3,5,8,16,17,24,27,32,74,103,105,144,166,176,177,463],[1,2,8,19,20,29,85,155,
158,464],[1,3,5,9,16,24,27,42,44,47,126,181,185,197,465],[1,2,4,7,8,18,26,28,
29,34,43,100,159,160,164,172,178,466],[1,3,5,9,16,24,27,41,44,47,126,181,182,
184,467],[1,2,8,20,26,29,104,138,158,468],[1,2,4,5,7,8,18,19,20,21,28,29,38,
43,107,113,116,127,147,164,170,469],[1,2,4,5,7,18,21,25,28,30,38,40,107,108,
145,186,187,470],[1,2,5,8,21,23,29,35,40,111,129,145,471],[1,2,8,15,20,29,118,
125,155,472],[1,2,5,7,8,14,19,21,26,28,29,102,119,132,142,170,175,178,473],[1,
2,5,7,8,20,21,26,28,29,92,117,142,147,159,165,178,474],[1,2,5,7,8,20,21,26,28,
29,37,46,127,131,133,142,147,159,173,475],[1,2,5,19,21,25,26,30,40,108,119,
145,476],[1,2,6,9,20,22,23,26,39,92,153,168,189,199,477],[1,2,6,15,22,26,82,
124,143,478],[1,2,5,8,9,21,29,33,35,39,41,42,123,129,150,208,479],[1,2,6,9,20,
22,39,118,135,153,480],[1,2,4,15,18,26,80,136,143,481],[1,2,7,8,20,26,28,29,
104,106,159,160,165,178,482],[1,2,5,21,23,31,40,79,111,145,483],[1,2,9,15,26,
39,78,124,167,484],[1,2,7,15,19,28,78,134,143,485],[1,2,4,5,7,18,21,28,33,38,
40,107,123,145,486],[1,2,5,8,14,20,21,29,34,35,89,100,101,106,129,132,147,
487],[1,2,5,7,8,19,21,26,28,29,35,46,116,129,140,142,160,170,173,488],[1,2,4,
6,9,15,18,22,26,39,49,82,136,167,199,200,489],[1,2,4,5,8,15,18,21,26,29,117,
121,124,136,137,172,178,490],[1,2,4,5,8,18,19,20,21,26,29,104,113,119,137,140,
147,172,491],[1,2,4,9,18,20,39,91,141,151,492],[1,2,9,20,26,39,92,141,151,
493],[1,3,5,16,24,27,126,195,494],[1,3,5,16,24,27,126,195,495],[1,2,5,7,8,14,
19,21,26,28,29,102,116,117,132,140,159,175,496],[1,2,8,15,20,29,125,138,155,
497],[1,2,4,5,7,8,18,21,26,28,29,35,43,129,137,142,159,164,172,178,498],[1,2,
6,7,9,20,22,23,28,39,48,94,153,168,193,202,499],[1,2,5,7,8,19,20,21,26,28,29,
85,116,119,140,147,165,170,500],[1,3,5,9,17,24,27,42,44,47,103,182,192,197,
501],[1,2,7,8,14,19,26,28,29,89,102,140,160,170,175,178,502],[1,2,7,8,19,26,
28,29,34,46,100,140,159,160,170,173,503],[1,2,7,8,14,20,26,28,29,46,101,131,
165,173,175,178,504],[1,2,4,15,18,26,78,136,143,505],[1,2,3,7,8,13,26,28,29,
32,46,87,128,159,160,173,178,506],[1,2,5,7,8,15,19,21,26,28,29,119,121,124,
134,140,142,160,507],[1,2,5,9,19,21,23,26,39,41,42,111,119,150,189,203,508],[
1,2,6,7,9,15,19,22,28,39,48,82,134,167,202,204,509],[1,2,4,5,6,7,9,18,21,22,
28,36,38,39,41,42,48,49,107,109,150,200,202,211,215,510],[1,2,6,7,9,20,22,26,
28,39,48,131,135,151,199,202,511],[1,2,5,19,21,26,33,40,119,123,145,512],[1,2,
7,8,15,20,26,28,29,124,125,130,131,159,160,165,513],[1,2,4,7,8,14,18,26,28,29,
43,46,89,122,159,164,172,173,175,514],[1,2,6,8,20,22,29,106,135,141,515],[1,2,
7,9,15,28,39,80,130,167,516],[1,2,7,9,15,28,39,78,130,167,517],[1,2,4,7,8,14,
18,19,20,26,28,29,101,102,113,122,165,170,172,518],[1,2,5,7,8,20,21,26,28,29,
37,46,94,133,142,147,160,165,173,519],[1,2,3,4,7,8,13,18,19,26,28,29,32,43,83,
87,128,140,164,170,172,520],[1,2,4,18,19,20,112,113,141,521],[1,2,4,18,19,20,
113,120,141,522],[1,2,7,20,28,84,127,155,523],[1,2,5,8,9,21,25,29,30,35,39,41,
42,108,129,150,190,198,524],[1,2,9,15,39,69,143,167,525],[1,2,9,20,39,84,112,
153,526],[1,2,7,15,23,28,77,130,143,527],[1,2,4,5,7,9,18,21,23,28,38,39,41,42,
107,111,150,193,196,528],[1,2,8,9,20,29,39,106,112,151,529],[1,3,5,8,17,24,27,
32,99,103,166,171,201,530],[1,3,5,17,24,27,103,162,169,531],[1,2,4,5,7,8,14,
18,21,26,28,29,38,46,107,122,132,142,172,173,175,532],[1,2,7,8,20,28,29,118,
127,158,533],[1,2,5,9,21,31,33,39,41,42,79,123,150,213,534],[1,2,9,20,23,39,
114,118,153,535],[1,2,7,8,20,28,29,127,138,158,536],[1,2,8,9,15,29,39,86,143,
167,537],[1,2,20,26,84,104,155,538],[1,2,7,20,26,28,112,131,141,539],[1,3,5,8,
17,24,27,31,32,45,98,103,154,176,201,540],[1,2,7,15,19,28,80,134,143,541],[1,
2,4,8,18,20,29,91,155,158,542],[1,2,9,20,39,81,112,151,543],[1,2,9,20,39,81,
120,151,544],[1,2,5,7,8,20,21,26,28,29,104,117,131,142,147,160,178,545],[1,2,
4,7,8,15,18,19,20,26,28,29,43,113,125,134,136,140,164,165,546],[1,2,7,9,20,28,
39,94,141,151,547],[1,2,5,7,20,21,28,115,127,155,548],[1,2,5,7,9,21,28,37,39,
40,41,42,133,145,150,212,549],[1,2,9,20,39,84,120,153,550],[1,2,7,20,26,28,
120,131,141,551],[1,2,6,20,22,23,118,120,168,552],[1,2,3,13,24,93,162,169,
553],[1,2,8,9,15,29,39,86,143,167,554],[1,2,5,8,15,20,21,29,34,35,86,100,106,
121,125,129,147,555],[1,2,6,20,22,23,120,138,168,556],[1,2,6,9,20,22,39,135,
138,153,557],[1,2,9,19,20,39,85,141,151,558],[1,2,4,6,9,18,19,20,22,39,49,113,
135,151,200,204,559],[1,2,5,21,23,25,26,30,108,111,117,560],[1,2,4,9,15,18,23,
26,39,77,136,167,189,196,561],[1,2,4,9,18,19,20,23,39,113,114,151,196,203,
562],[1,2,5,9,20,21,39,112,115,153,563],[1,2,6,20,22,23,112,138,168,564],[1,2,
5,9,21,26,39,40,41,42,117,145,150,565],[1,2,5,6,7,21,22,25,28,30,36,37,108,
109,133,183,191,566],[1,2,6,9,19,20,22,23,39,85,153,168,203,204,567],[1,2,5,7,
21,23,28,33,37,111,123,133,568],[1,2,5,7,9,21,28,37,39,40,41,42,133,145,150,
207,569],[1,2,3,9,13,24,39,47,93,174,182,185,570],[1,2,6,20,22,81,135,141,
571],[1,2,3,9,13,16,17,39,47,73,174,181,192,572],[1,2,5,6,21,22,31,36,40,79,
109,145,218,573],[1,2,9,15,26,39,80,124,167,574],[1,2,8,14,20,29,101,138,155,
575],[1,2,9,20,23,39,114,138,153,576],[1,3,5,8,17,24,27,32,35,45,103,105,157,
161,188,577],[1,3,5,8,16,24,27,32,99,126,171,177,201,578],[1,2,8,9,20,29,39,
106,120,151,579],[1,2,6,20,22,23,112,118,168,580],[1,2,20,23,81,114,141,581],[
1,2,9,14,15,39,72,143,167,582],[1,2,5,9,21,26,39,40,41,42,117,145,150,583],[1,
2,3,13,16,17,73,195,584],[1,2,6,7,15,22,28,82,130,143,585],[1,3,5,8,16,24,27,
31,32,45,98,126,144,154,201,586],[1,2,5,9,21,25,30,31,39,41,42,79,108,150,194,
205,587],[1,3,8,9,16,32,47,110,181,195,588],[1,3,5,8,9,25,27,32,33,41,44,45,
47,156,157,184,216,217,589],[1,3,5,8,9,27,30,32,33,41,44,45,47,146,157,184,
209,219,590],[1,3,5,9,27,30,31,33,42,44,47,98,146,194,197,213,591],[1,2,3,4,6,
9,13,18,19,22,23,39,47,49,83,96,174,196,200,203,204,592],[1,3,8,9,16,32,47,
110,181,195,593],[1,3,8,9,24,32,47,169,171,185,594],[1,3,5,8,9,25,27,32,33,35,
41,44,47,156,161,184,190,208,595],[1,2,3,6,7,9,13,22,23,26,28,39,47,48,96,128,
174,189,193,199,202,596],[1,2,6,9,14,19,22,23,26,39,95,102,148,189,199,203,
204,597],[1,3,9,24,47,99,169,185,598],[1,3,8,9,24,32,47,162,171,185,599],[1,3,
9,16,47,70,181,195,600],[1,3,5,9,24,27,47,163,169,182,601],[1,3,9,24,47,97,
169,182,602],[1,3,9,24,47,99,162,185,603],[1,3,5,8,16,24,27,32,34,45,110,139,
144,154,171,177,201,604],[1,3,9,24,47,97,162,182,605],[1,3,9,16,17,47,74,181,
195,606],[1,3,5,8,17,24,27,32,34,45,105,139,154,166,171,176,201,607],[1,2,4,6,
7,9,14,18,22,23,28,39,48,49,95,122,148,193,196,200,202,608],[1,2,5,8,9,21,29,
33,39,44,45,123,152,179,209,216,609],[1,3,5,8,16,24,27,32,35,45,144,157,161,
163,177,188,610],[1,3,5,8,9,27,30,32,33,35,41,44,47,146,161,184,198,208,611],[
1,2,5,8,9,21,25,29,30,39,44,45,108,152,179,217,219,612],[1,3,5,8,9,27,30,32,
33,42,44,45,47,146,154,197,216,219,613],[1,2,5,6,7,9,19,21,22,23,28,39,44,48,
116,149,152,193,202,203,204,614],[1,3,5,9,25,27,31,33,42,44,47,98,156,197,205,
213,615],[1,3,5,8,9,25,27,32,33,42,44,45,47,154,156,197,209,217,616],[1,2,4,5,
6,9,18,21,22,23,26,39,44,49,137,149,152,189,196,199,200,617],[1,3,5,8,17,24,
27,32,35,45,157,161,163,166,176,188,618],[1,3,5,9,24,27,47,162,163,182,619],[
1,4,5,6,7,9,30,31,36,37,38,40,42,48,49,180,186,191,194,212,215,218,620],[1,4,
5,6,7,8,9,30,35,36,37,38,40,41,43,46,48,49,186,191,198,207,210,211,214,621],[
1,4,5,6,7,8,9,25,35,36,37,38,40,41,43,46,48,49,183,187,190,207,210,211,214,
622],[1,4,5,6,7,9,25,31,36,37,38,40,42,48,49,180,183,187,205,212,215,218,
623],[1,2,10,11,12,50,51,56,220,624],[1,9,10,11,12,63,64,65,220,625],[1,9,10,
11,12,62,64,68,220,626],[1,6,10,11,12,59,61,220,627],[1,4,10,11,12,52,66,220,
628],[1,9,10,11,12,60,65,67,68,220,629],[1,3,10,11,12,53,54,55,58,220,630],[1,
3,11,16,54,70,631],[1,3,10,16,53,70,632],[1,2,11,15,51,69,633],[1,2,10,20,50,
84,634],[1,2,10,15,50,69,227,635],[1,2,12,15,56,69,636],[1,2,3,4,10,13,18,19,
50,52,53,83,221,222,223,637],[1,3,11,24,55,97,638],[1,3,12,16,58,70,639],[1,3,
11,16,55,70,236,640],[1,2,10,15,50,143,227,641],[1,2,10,15,50,143,227,642],[1,
2,7,10,15,19,28,50,57,134,222,227,229,643],[1,2,9,10,15,39,50,64,167,227,238,
644],[1,2,6,10,15,22,50,61,82,227,234,645],[1,2,12,20,56,81,646],[1,2,10,15,
50,78,227,647],[1,2,5,12,21,31,56,79,225,648],[1,2,10,15,50,80,227,649],[1,2,
3,7,10,13,26,28,50,53,57,128,221,228,229,650],[1,2,10,14,15,50,72,226,227,
651],[1,2,10,15,26,50,124,227,228,652],[1,2,7,10,15,28,50,57,130,227,229,
653],[1,2,4,10,15,18,26,50,52,136,223,227,228,654],[1,2,9,10,15,39,50,60,167,
227,235,655],[1,2,4,7,10,14,18,28,50,52,57,122,223,226,229,656],[1,5,9,12,30,
31,42,63,194,225,657],[1,5,9,12,25,31,42,62,205,225,658],[1,2,3,10,13,14,15,
50,53,71,221,226,227,659],[1,2,10,14,19,26,50,102,222,226,228,660],[1,2,10,15,
23,50,77,227,233,661],[1,2,3,6,12,13,22,23,56,58,59,96,230,231,232,662],[1,2,
7,9,10,23,28,39,50,57,64,193,229,233,238,663],[1,3,5,12,27,31,58,98,225,664],[
1,2,6,9,10,22,26,39,50,61,64,199,228,234,238,665],[1,2,6,10,14,22,23,50,61,95,
226,233,234,666],[1,2,9,10,14,39,50,60,64,148,226,235,238,667],[1,2,3,6,10,13,
22,23,50,53,61,96,221,233,234,668],[1,2,3,11,13,16,17,51,54,55,73,224,236,239,
669],[1,2,4,6,9,10,18,22,39,49,50,52,61,64,200,223,234,238,246,670],[1,2,8,12,
29,34,56,100,237,671],[1,5,6,12,31,36,40,59,218,225,672],[1,3,12,24,58,99,
673],[1,2,6,9,10,19,22,39,50,60,61,204,222,234,235,674],[1,5,9,12,31,33,42,67,
213,225,675],[1,2,7,10,14,26,28,50,57,175,226,228,229,676],[1,3,11,16,55,195,
236,677],[1,2,9,10,19,23,39,50,64,203,222,233,238,678],[1,3,9,11,16,47,55,65,
181,236,241,679],[1,2,3,9,10,13,39,47,50,53,60,64,174,221,235,238,252,680],[1,
3,11,16,17,55,74,236,239,681],[1,3,9,11,16,47,55,68,181,236,245,682],[1,2,9,
10,23,26,39,50,60,189,228,233,235,683],[1,2,4,9,10,18,23,39,50,52,60,196,223,
233,235,684],[1,2,6,7,9,10,22,28,39,48,50,57,60,61,202,229,234,235,248,685],[
1,4,5,7,12,31,37,38,66,180,225,686],[1,3,11,16,55,195,236,687],[1,4,7,8,12,34,
43,46,66,206,237,688],[1,3,9,11,17,47,55,65,68,192,239,241,245,689],[1,2,3,9,
11,13,39,47,51,54,55,65,68,174,224,241,245,247,253,690],[1,3,8,12,32,34,58,
139,237,691],[1,2,3,9,12,13,39,47,56,58,62,63,67,174,231,240,243,249,254,
692],[1,2,3,4,12,13,18,19,56,58,66,83,231,242,244,693],[1,2,4,6,9,12,18,22,39,
49,56,59,62,63,66,200,230,240,242,250,251,694],[1,2,4,9,12,18,23,39,56,66,67,
196,232,242,243,695],[1,2,6,9,12,19,22,39,56,59,67,204,230,243,244,696],[1,2,
9,12,19,23,39,56,62,63,203,232,240,244,697],[1,2,3,5,13,14,15,20,21,27,71,75,
76,84,88,90,115,259,265,269,276,280,698],[1,2,3,4,13,18,19,20,76,81,83,85,91,
113,257,273,275,303,699],[1,2,3,13,14,15,16,17,24,70,71,73,74,93,256,286,302,
700],[1,2,3,13,16,17,20,70,73,74,76,256,263,296,701],[1,2,3,5,13,16,17,21,24,
27,73,75,93,97,103,126,163,262,287,314,323,324,702],[1,2,3,13,14,15,16,17,24,
69,71,72,73,93,255,302,317,703],[1,2,3,6,13,20,22,23,76,84,96,114,135,168,259,
319,320,427,704],[1,2,3,8,13,14,15,20,29,32,71,76,84,87,101,125,158,259,301,
312,322,325,705],[1,2,3,5,8,13,14,15,20,21,27,29,32,69,71,72,75,76,86,87,88,
89,90,101,121,125,132,255,267,269,298,309,312,318,401,706],[1,2,3,7,13,20,26,
28,76,81,92,94,104,127,128,131,165,257,300,329,333,371,707],[1,2,3,5,8,13,14,
15,20,21,27,29,32,45,71,75,76,86,87,88,89,90,154,157,158,179,267,269,295,301,
331,353,708],[1,2,3,5,8,13,16,17,20,21,27,29,32,73,75,76,87,106,115,144,176,
263,264,265,406,709],[1,2,3,13,20,76,81,118,257,289,710],[1,2,3,8,13,20,24,29,
32,76,84,87,93,106,259,264,266,399,711],[1,2,3,5,8,13,14,15,20,21,27,29,32,71,
75,76,81,87,88,90,101,106,125,147,257,264,269,312,315,334,358,712],[1,2,3,5,8,
13,14,15,20,21,27,29,31,32,35,71,75,76,79,87,88,90,98,121,129,132,147,161,258,
268,269,309,315,347,375,713],[1,2,3,13,20,76,81,138,257,307,714],[1,2,3,13,16,
17,20,73,76,81,84,257,259,263,296,715],[1,2,3,5,13,14,15,20,21,24,27,71,75,76,
88,90,93,269,288,299,317,716],[1,2,3,5,13,14,15,16,17,20,21,24,27,71,73,75,76,
88,90,93,103,126,263,266,269,302,314,717],[1,2,3,5,13,20,21,24,27,75,76,81,93,
115,257,265,266,405,718],[1,2,3,4,7,13,14,15,18,19,26,28,69,71,72,83,102,122,
124,128,130,134,136,175,255,281,283,338,387,389,404,719],[1,2,5,8,14,15,20,21,
29,45,72,84,86,90,101,115,132,158,179,280,298,322,331,450,720],[1,2,5,15,20,
21,78,80,84,90,115,280,291,417,721],[1,2,5,15,20,21,78,80,84,90,115,280,294,
417,722],[1,2,3,6,13,14,15,22,23,69,71,72,77,78,80,82,95,96,255,270,271,277,
278,279,282,723],[1,2,5,8,15,20,21,29,45,69,84,86,90,115,121,125,158,179,280,
318,325,331,458,724],[1,2,5,6,15,20,21,22,23,77,82,84,90,111,114,115,149,168,
280,305,319,354,448,725],[1,2,5,8,15,20,21,29,31,34,35,69,79,81,86,90,100,106,
121,125,129,147,318,358,375,555,726],[1,2,5,6,15,20,21,22,23,36,77,82,84,90,
109,115,135,149,168,280,311,320,354,455,727],[1,2,3,8,13,16,17,24,29,32,73,87,
93,97,166,177,188,262,380,420,435,436,728],[1,2,3,4,5,7,13,18,19,21,26,27,28,
31,37,38,75,79,83,98,107,116,117,119,128,133,137,142,180,258,272,274,336,355,
362,409,729],[1,2,5,7,15,19,20,21,28,33,80,85,90,94,116,123,134,291,292,297,
730],[1,2,3,5,13,14,15,20,21,25,27,30,33,71,75,76,88,90,108,123,146,156,269,
297,316,400,426,731],[1,2,3,7,13,20,26,28,76,84,92,94,128,131,138,259,300,307,
363,418,732],[1,2,3,5,8,13,16,17,20,21,27,29,32,73,75,76,87,105,110,144,147,
158,176,263,285,301,315,406,733],[1,2,3,8,13,20,29,32,76,87,106,118,138,264,
289,307,734],[1,2,3,8,13,20,24,29,32,76,87,93,97,171,262,266,304,379,428,
735],[1,2,3,4,7,8,13,18,19,20,26,28,29,32,43,76,83,85,87,91,92,94,106,113,128,
131,140,164,170,172,264,300,303,332,350,369,376,520,736],[1,2,5,7,15,20,21,23,
28,33,37,77,90,111,114,123,127,130,133,290,297,305,568,737],[1,2,3,5,8,13,14,
15,16,17,21,24,27,29,32,71,73,75,87,93,121,132,144,163,171,176,287,302,304,
309,406,738],[1,2,3,5,8,13,16,17,21,24,27,29,32,70,73,74,75,87,93,103,105,110,
126,144,166,176,177,256,285,314,394,406,412,420,463,739],[1,2,4,5,7,8,14,15,
18,20,21,26,28,29,37,43,72,86,90,91,92,101,122,127,130,132,133,136,137,160,
164,175,290,298,313,338,372,385,413,453,740],[1,2,3,5,13,14,15,20,21,27,71,75,
76,88,90,143,269,356,361,374,741],[1,2,3,8,13,14,15,16,17,20,24,29,32,71,73,
76,87,93,101,105,110,125,285,296,302,312,379,742],[1,2,3,13,16,17,20,73,76,
112,120,263,328,743],[1,2,3,5,13,16,17,20,21,24,27,73,75,76,93,103,126,286,
288,296,314,405,744],[1,2,3,5,8,13,14,15,20,21,27,29,32,34,35,71,75,76,86,87,
89,100,101,106,121,125,129,132,139,147,161,260,264,267,268,309,312,315,487,
555,745],[1,2,3,5,8,13,20,21,24,27,29,32,75,76,84,87,93,147,259,288,315,379,
405,746],[1,2,3,5,8,13,16,17,21,24,27,29,32,35,45,73,75,87,93,103,105,110,126,
129,154,157,161,179,188,268,285,295,314,380,441,577,747],[1,2,3,8,13,20,29,32,
76,87,106,155,264,378,748],[1,2,3,4,13,18,19,20,76,83,84,85,91,113,118,259,
289,303,377,396,749],[1,2,3,5,13,20,21,24,27,75,76,93,99,163,261,266,287,299,
405,750],[1,2,5,7,15,20,21,28,37,80,90,112,127,130,133,290,291,306,751],[1,2,
3,5,9,13,14,15,20,21,27,39,41,42,44,47,71,75,76,88,90,148,150,151,152,153,167,
174,184,197,269,327,359,382,386,411,433,434,752],[1,2,4,5,15,18,20,21,26,33,
78,90,91,92,123,136,137,294,297,313,753],[1,2,5,8,14,15,20,21,29,33,72,86,90,
101,120,123,132,297,298,310,754],[1,2,3,5,13,14,15,20,21,27,40,71,75,76,88,90,
145,269,330,367,431,755],[1,2,3,4,5,7,13,14,15,18,19,20,21,26,27,28,38,71,75,
76,83,85,88,90,91,92,94,102,107,113,116,119,122,128,131,134,136,137,269,284,
292,300,303,308,313,335,362,404,415,756],[1,2,5,7,15,19,20,21,23,28,77,85,90,
94,111,112,114,116,134,292,305,306,397,432,757],[1,2,3,5,8,13,16,17,21,24,27,
29,31,32,45,73,75,79,87,93,98,103,126,144,154,157,176,179,201,258,295,314,368,
406,540,586,758],[1,2,3,5,13,20,21,24,27,31,75,76,79,93,98,115,163,258,265,
287,299,405,759],[1,2,5,8,15,20,21,23,29,69,77,80,86,90,111,114,121,125,277,
291,305,318,393,760],[1,2,3,4,13,18,19,20,24,76,83,85,91,93,113,138,266,303,
307,761],[1,2,3,5,7,13,14,15,20,21,26,27,28,37,71,75,76,88,90,104,117,124,127,
128,130,133,142,165,175,269,290,293,329,336,340,343,387,410,762],[1,2,3,5,6,
13,14,15,20,21,22,23,27,36,71,75,76,77,82,88,90,95,96,109,111,114,135,149,168,
269,279,305,311,346,354,381,423,427,763],[1,2,5,7,8,14,15,19,20,21,26,28,29,
72,85,86,90,94,101,102,104,116,117,124,132,134,140,159,175,292,293,298,337,
349,351,389,496,764],[1,2,3,5,8,13,14,15,20,21,27,29,32,45,71,75,76,87,101,
115,121,125,132,154,157,158,179,265,295,301,309,312,450,458,765],[1,2,3,8,13,
14,15,16,17,20,24,29,32,71,73,76,87,93,101,125,166,177,263,288,302,312,420,
766],[1,2,5,15,20,21,26,78,90,104,112,117,124,293,294,306,767],[1,2,5,7,8,15,
19,20,21,28,29,37,46,69,85,86,90,94,116,121,125,127,130,133,134,170,173,283,
290,292,318,342,384,429,443,768],[1,2,3,8,13,14,15,20,24,29,32,71,76,87,93,
101,125,266,288,312,317,428,769],[1,2,5,6,8,14,15,20,21,22,29,36,72,80,82,86,
90,101,109,132,135,282,291,298,311,430,770],[1,2,3,5,8,13,16,17,21,24,27,29,
32,73,75,87,93,99,103,126,166,171,177,201,261,304,314,368,420,530,578,771],[1,
2,3,5,13,14,15,20,21,27,71,75,76,88,90,112,120,269,306,310,328,391,772],[1,2,
3,5,13,14,15,20,21,27,71,75,76,88,90,118,138,269,289,307,341,403,773],[1,2,3,
5,13,14,15,20,21,27,71,75,76,88,90,155,269,365,378,395,774],[1,2,3,5,13,14,15,
20,21,27,71,75,76,88,90,141,269,339,357,366,775],[1,2,3,5,13,14,15,20,21,27,
71,75,76,78,80,88,90,269,270,291,294,417,776],[1,2,5,7,15,19,20,21,25,28,30,
78,85,90,94,108,116,134,292,294,316,777],[1,2,5,8,15,20,21,29,33,69,86,90,112,
121,123,125,297,306,318,778],[1,2,4,5,8,15,18,20,21,26,29,69,86,90,91,92,104,
117,121,124,125,136,137,172,178,281,293,313,318,392,416,421,490,779],[1,2,3,7,
13,16,17,20,26,28,73,76,92,94,128,131,138,263,300,307,780],[1,2,3,9,13,16,17,
20,39,47,73,76,151,153,174,181,192,263,411,572,781],[1,2,3,13,20,76,84,141,
259,366,782],[1,2,3,7,13,20,24,26,28,76,92,93,94,118,128,131,266,289,300,
783],[1,2,3,5,8,13,20,21,24,27,29,32,75,76,87,93,115,147,163,201,265,287,288,
315,368,784],[1,2,3,4,13,16,17,18,19,20,73,76,83,85,91,113,118,263,289,303,
785],[1,2,3,7,8,13,20,26,28,29,32,46,76,87,104,106,127,128,159,160,165,173,
178,264,329,461,482,506,786],[1,2,3,8,13,16,17,20,24,29,32,73,76,87,93,105,
110,166,177,263,285,286,399,420,787],[1,2,3,13,20,76,81,155,257,378,788],[1,2,
3,5,6,13,20,21,22,23,27,36,75,76,96,109,111,114,115,135,149,168,265,423,427,
448,455,789],[1,2,3,13,20,24,76,93,112,120,266,328,790],[1,2,3,5,8,13,20,21,
24,27,29,32,75,76,87,93,147,158,188,201,266,301,315,368,380,791],[1,2,5,8,14,
15,20,21,23,29,72,77,78,86,90,101,111,114,132,271,294,298,305,360,792],[1,2,5,
7,15,20,21,28,37,78,90,120,127,130,133,290,294,310,793],[1,2,5,6,15,20,21,22,
26,33,36,82,90,104,109,117,123,124,135,293,297,311,460,794],[1,2,4,5,15,18,20,
21,25,26,30,80,90,91,92,108,136,137,291,313,316,795],[1,2,4,5,15,18,20,21,23,
26,77,90,91,92,111,114,120,136,137,305,310,313,398,408,796],[1,2,5,15,20,21,
23,25,26,30,77,90,104,108,111,114,117,124,293,305,316,560,797],[1,2,3,8,13,20,
24,29,32,76,87,93,106,158,171,188,264,288,301,304,380,798],[1,2,3,8,13,14,15,
16,17,24,29,32,71,73,86,87,89,93,166,177,267,302,317,420,428,799],[1,2,3,9,13,
20,24,39,47,76,93,151,153,174,182,185,266,411,570,800],[1,2,3,4,5,13,18,19,20,
21,27,75,76,83,85,91,113,115,138,265,303,307,345,388,801],[1,2,3,5,13,20,21,
27,75,76,115,141,265,366,802],[1,2,3,5,7,13,20,21,26,27,28,75,76,92,94,115,
118,128,131,265,289,300,352,390,803],[1,2,3,8,13,20,24,29,32,76,81,87,93,158,
257,288,301,379,399,804],[1,2,5,6,8,15,20,21,22,29,36,69,78,82,86,90,109,121,
125,135,278,294,311,318,348,805],[1,2,5,6,7,15,20,21,22,25,28,30,36,37,82,90,
108,109,127,130,133,135,183,191,290,311,316,566,806],[1,2,5,6,7,15,19,20,21,
22,28,36,82,85,90,94,109,116,120,134,135,292,310,311,370,425,807],[1,2,5,8,14,
15,20,21,25,29,30,72,86,90,101,108,112,132,298,306,316,808],[1,2,3,5,8,13,20,
21,24,27,29,32,35,75,76,87,93,115,129,161,201,265,268,299,368,379,809],[1,2,3,
13,14,15,16,17,24,71,73,93,97,99,261,262,286,302,317,810],[1,2,4,5,6,15,18,20,
21,22,26,36,82,90,91,92,109,112,135,136,137,306,311,313,344,419,811],[1,2,5,
15,20,21,26,80,90,104,117,120,124,291,293,310,812],[1,2,5,8,15,20,21,25,29,30,
69,86,90,108,120,121,125,310,316,318,813],[1,3,5,8,16,24,27,32,35,45,70,97,
110,126,144,157,161,163,177,188,323,394,435,441,610,814],[1,2,3,4,7,8,13,18,
19,26,28,29,32,34,43,46,83,87,100,128,139,140,159,160,164,170,172,173,178,206,
260,321,326,466,503,506,520,815],[1,3,5,8,16,24,27,31,32,34,45,70,98,99,110,
126,139,144,154,171,177,201,394,578,586,604,816],[1,2,5,8,14,15,20,21,29,45,
72,84,88,89,101,115,121,125,132,158,179,276,322,325,353,401,450,458,817],[1,2,
5,6,14,20,21,22,23,36,84,88,95,109,111,114,115,135,149,168,276,319,320,346,
381,448,455,818],[1,3,5,8,16,17,24,27,32,35,45,74,97,110,126,157,161,163,166,
176,188,323,412,436,441,618,819],[1,2,4,5,6,7,14,18,20,21,22,23,28,38,88,91,
94,95,107,112,114,120,122,135,149,308,344,381,391,408,425,432,820],[1,2,3,5,8,
13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,87,88,90,93,101,125,144,176,269,
296,302,312,399,405,406,821],[1,2,5,8,15,20,21,29,31,35,79,80,90,121,129,141,
147,291,357,375,822],[1,2,5,15,20,21,25,30,78,80,90,108,118,138,316,341,417,
823],[1,2,3,6,13,20,22,23,76,96,112,114,120,135,138,168,307,328,427,556,564,
824],[1,2,3,5,8,13,14,15,20,21,24,27,29,32,71,75,76,87,88,90,93,121,132,163,
201,269,287,309,317,368,379,405,825],[1,2,3,5,8,13,16,17,20,21,24,27,29,32,73,
75,76,87,93,103,126,144,166,176,177,263,286,314,379,405,406,420,826],[1,2,3,5,
8,13,16,17,21,24,27,29,32,73,75,87,93,144,166,176,177,188,201,286,299,368,380,
406,420,428,827],[1,2,5,7,8,15,20,21,26,28,29,37,46,81,90,94,106,124,125,127,
130,131,133,142,147,159,160,165,173,290,342,358,371,410,461,475,513,519,828],[
1,2,3,4,13,18,19,20,76,83,85,91,112,113,120,141,303,328,366,521,522,829],[1,2,
3,6,7,9,13,20,22,23,26,28,39,47,48,76,92,94,96,114,128,131,135,151,153,168,
174,189,193,199,202,300,411,427,447,477,499,511,596,830],[1,2,5,7,15,19,20,21,
28,40,85,90,94,116,134,143,145,292,367,374,831],[1,2,3,5,8,13,20,21,24,27,29,
32,45,75,76,87,93,106,154,157,179,188,201,264,295,368,379,380,405,428,832],[1,
2,4,5,7,8,14,18,20,21,26,28,29,31,35,37,38,43,46,79,88,91,94,107,117,122,129,
132,133,137,142,147,160,164,165,172,173,175,180,210,272,308,343,347,364,407,
409,453,457,519,532,833],[1,2,5,7,9,15,20,21,26,28,39,41,42,78,90,124,130,142,
150,151,165,167,294,359,410,484,517,834],[1,2,3,5,8,13,16,17,21,24,27,29,32,
73,75,87,93,103,126,144,163,176,201,286,287,299,314,368,406,428,835],[1,2,5,6,
8,15,20,21,22,23,29,45,77,80,82,86,90,149,158,168,179,291,331,354,393,430,
836],[1,2,3,6,9,13,20,22,23,39,47,76,96,114,135,138,151,153,168,174,307,411,
427,557,576,837],[1,2,3,5,9,13,21,25,27,30,31,33,39,41,42,44,47,75,79,98,108,
123,146,150,152,156,174,184,194,197,205,213,258,400,433,534,587,591,615,838],[
1,2,5,7,8,15,20,21,28,29,37,45,86,90,118,127,130,133,138,158,179,290,331,341,
533,536,839],[1,2,3,5,8,13,14,15,20,21,24,27,29,32,71,75,76,87,93,101,121,125,
132,188,201,309,312,317,368,380,399,405,840],[1,2,5,6,7,15,20,21,22,23,28,37,
77,82,90,127,130,133,143,149,168,290,354,356,527,585,841],[1,2,3,4,13,18,19,
20,24,76,83,85,91,93,113,155,288,303,378,842],[1,2,4,5,7,14,18,20,21,25,28,30,
33,38,40,88,91,94,107,108,122,123,145,186,187,308,330,426,470,486,843],[1,2,3,
6,9,13,20,22,23,39,47,76,96,114,118,135,151,153,168,174,289,411,427,480,535,
844],[1,2,3,5,9,13,16,17,21,24,27,39,41,42,44,47,73,75,93,103,126,150,152,174,
181,182,184,185,192,197,314,433,438,465,467,501,570,572,845],[1,2,4,5,15,18,
20,21,26,84,90,91,92,115,118,136,137,138,280,313,341,352,363,388,396,846],[1,
2,3,5,8,13,20,21,24,27,29,32,45,75,76,87,93,147,154,157,163,179,201,287,295,
315,368,399,405,428,847],[1,2,5,7,15,20,21,26,28,40,90,112,124,130,142,145,
165,306,367,410,848],[1,2,5,8,9,15,20,21,25,29,30,39,44,45,86,90,108,152,153,
158,167,179,217,219,316,331,386,612,849],[1,2,4,5,7,8,15,18,20,21,26,28,29,31,
35,38,43,79,90,91,92,107,117,121,124,129,130,136,137,142,147,159,164,165,172,
178,313,375,409,410,454,457,474,490,498,850],[1,2,3,5,13,16,17,21,24,25,27,30,
33,73,75,93,103,108,123,126,146,156,314,400,414,424,456,851],[1,2,5,6,8,15,20,
21,22,29,36,45,78,80,82,86,90,109,135,158,179,311,331,348,417,430,852],[1,2,5,
7,9,15,20,21,28,37,39,44,78,80,90,127,130,133,152,153,167,290,386,417,516,517,
853],[1,2,5,6,8,15,20,21,22,23,29,45,77,78,82,86,90,149,158,168,179,294,331,
348,354,360,854],[1,2,3,9,13,14,15,16,17,24,39,47,71,73,93,148,167,174,181,
182,185,192,302,382,570,572,855],[1,2,5,8,15,20,21,23,29,45,77,78,80,86,90,
111,114,158,179,305,331,360,393,417,856],[1,2,5,8,15,20,21,26,29,45,86,90,104,
117,118,124,138,158,179,293,331,341,444,468,857],[1,2,5,8,15,20,21,29,45,86,
90,120,143,158,179,310,331,356,858],[1,2,5,8,15,20,21,29,45,86,90,112,143,158,
179,306,331,356,859],[1,2,5,15,20,21,26,84,90,104,115,117,124,155,280,293,395,
439,538,860],[1,2,5,7,8,15,19,20,21,26,28,29,31,35,37,46,79,85,90,94,116,119,
121,124,129,130,133,134,140,142,147,160,165,170,173,292,355,375,410,443,488,
500,507,519,861],[1,2,5,9,15,20,21,39,44,78,90,152,153,155,167,294,386,395,
862],[1,2,5,6,15,20,21,22,23,33,77,82,90,123,149,155,168,297,354,395,863],[1,
2,4,5,7,15,18,19,20,21,26,28,38,78,90,107,113,119,131,134,136,143,294,374,415,
485,505,864],[1,2,5,15,20,21,33,84,90,115,123,143,280,297,356,865],[1,2,5,7,8,
14,19,20,21,26,28,29,31,35,37,79,85,88,92,102,116,117,119,129,132,133,140,142,
147,159,165,170,175,178,274,284,343,347,355,373,383,473,474,496,500,866],[1,2,
3,4,8,13,18,19,20,29,32,76,83,85,87,91,113,155,158,301,303,378,464,542,867],[
1,2,3,5,8,13,16,17,21,24,27,29,32,34,45,73,75,87,93,100,105,110,139,144,154,
157,166,171,176,177,179,201,260,285,295,304,368,406,420,604,607,868],[1,2,5,
15,20,21,33,78,80,90,118,123,138,297,341,417,869],[1,2,5,7,15,20,21,28,37,84,
90,115,127,130,133,155,280,290,395,523,548,870],[1,2,5,8,14,15,20,21,29,40,72,
86,90,101,132,141,145,298,357,367,871],[1,2,5,8,15,20,21,25,29,30,81,90,106,
108,125,143,147,316,358,374,872],[1,2,3,5,8,13,14,15,16,17,21,24,27,29,32,71,
73,75,87,93,103,121,126,132,166,177,299,302,309,314,317,420,428,873],[1,2,5,8,
15,20,21,29,40,78,81,90,106,125,145,147,294,358,367,874],[1,2,3,5,8,13,16,17,
20,21,24,27,29,32,73,75,76,87,93,103,115,126,144,147,176,265,296,314,315,399,
405,406,875],[1,2,3,5,6,13,21,22,23,27,31,36,40,75,79,96,98,109,111,145,149,
218,258,423,431,483,573,876],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,31,35,37,38,
43,46,79,90,107,113,116,119,121,127,129,130,131,133,134,136,142,147,159,164,
170,173,180,210,272,290,355,364,373,375,415,443,454,469,475,877],[1,2,5,7,8,
14,15,19,20,21,26,28,29,72,85,88,89,92,101,102,104,119,121,124,125,127,132,
134,140,142,160,170,175,178,284,337,340,389,401,413,416,429,473,502,507,878],[
1,2,3,6,13,20,22,23,76,81,96,114,135,141,168,257,366,427,571,581,879],[1,2,3,
6,13,16,17,20,22,23,73,76,96,114,135,141,168,263,366,427,880],[1,2,3,5,6,8,13,
21,22,23,27,29,32,35,36,40,75,87,96,109,111,129,145,149,161,214,268,423,431,
451,471,881],[1,2,3,4,7,8,13,14,15,18,19,26,28,29,32,43,46,71,83,86,87,89,102,
122,124,128,130,134,136,140,159,160,164,170,172,173,175,178,267,351,372,384,
387,392,404,502,506,514,520,882],[1,2,3,8,9,13,14,15,29,32,39,47,71,86,87,89,
143,148,167,174,267,361,382,537,554,883],[1,2,3,5,7,13,20,21,26,27,28,75,76,
104,115,127,128,155,165,265,329,378,439,548,884],[1,2,5,9,15,20,21,39,44,84,
90,115,120,152,153,167,280,310,386,445,550,885],[1,2,3,6,13,20,22,23,76,96,
112,114,118,120,135,168,289,328,427,552,580,886],[1,2,4,5,7,9,15,18,19,20,21,
23,26,28,38,39,41,42,77,90,107,111,113,114,119,131,134,136,150,151,167,189,
193,196,203,305,359,415,447,449,508,528,561,562,887],[1,2,5,8,15,20,21,29,31,
35,79,90,120,121,129,143,147,310,374,375,888],[1,2,3,7,13,16,17,20,26,28,73,
76,104,127,128,155,165,263,329,378,889],[1,2,3,5,8,13,20,21,27,29,32,75,76,87,
138,147,155,307,315,378,890],[1,2,3,5,8,13,20,21,27,29,32,75,76,87,118,147,
155,289,315,378,891],[1,2,4,5,7,8,14,18,19,20,21,26,28,29,38,43,81,88,91,94,
101,102,106,107,113,116,122,127,131,137,147,164,165,170,172,273,308,332,334,
335,350,371,385,457,469,518,892],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,38,43,
81,90,91,92,104,106,107,113,119,125,131,134,136,137,140,147,164,165,172,273,
313,333,350,358,376,415,421,457,491,546,893],[1,2,4,5,7,8,14,15,18,20,21,26,
28,29,38,43,46,72,88,89,91,94,101,104,107,121,122,125,127,130,132,136,142,159,
164,172,173,175,308,338,340,342,349,385,401,421,454,514,532,894],[1,2,5,7,8,
15,19,20,21,28,29,45,85,86,90,94,116,134,155,158,179,292,331,395,446,464,
895],[1,2,5,15,20,21,25,30,84,90,108,115,143,280,316,356,896],[1,2,4,5,7,8,15,
18,19,20,21,26,28,29,38,43,81,85,90,94,106,107,113,116,119,125,127,131,134,
136,140,147,164,165,170,275,292,332,358,369,371,415,429,469,500,546,897],[1,2,
5,7,15,20,21,25,26,28,30,90,108,124,130,141,142,165,316,357,410,898],[1,2,5,6,
8,15,20,21,22,29,31,35,36,40,79,82,90,109,121,129,135,145,147,214,218,311,367,
375,451,573,899],[1,2,5,8,9,14,15,20,21,29,39,41,42,72,86,90,101,132,143,150,
151,167,298,359,374,537,582,900],[1,2,5,7,15,19,20,21,28,84,85,90,94,115,116,
118,134,138,280,292,341,345,377,390,418,901],[1,2,5,8,9,15,20,21,29,39,41,42,
81,90,106,120,125,147,150,151,167,310,358,359,544,579,902],[1,2,5,9,15,20,21,
26,39,40,41,42,90,104,117,124,145,150,151,167,293,359,367,565,583,903],[1,2,4,
5,7,15,18,19,20,21,26,28,38,80,90,107,113,119,131,134,136,143,291,374,415,481,
541,904],[1,2,4,5,7,15,18,19,20,21,26,28,38,90,107,113,119,120,131,134,136,
141,310,357,415,522,551,905],[1,2,5,7,15,19,20,21,28,78,80,85,90,94,116,134,
143,292,356,417,485,541,906],[1,2,5,7,15,20,21,26,28,33,90,123,124,130,141,
142,165,297,357,410,907],[1,2,5,8,15,20,21,29,33,81,90,106,123,125,143,147,
297,358,374,908],[1,2,3,13,20,76,112,120,138,141,307,328,366,909],[1,2,5,8,9,
15,20,21,29,31,33,35,39,41,42,79,90,121,123,129,147,150,151,167,208,213,297,
359,375,479,534,910],[1,2,5,7,15,20,21,28,37,90,127,130,133,141,143,290,357,
374,911],[1,2,5,15,20,21,26,90,104,117,124,141,143,293,357,374,912],[1,2,5,7,
15,20,21,26,28,40,90,120,124,130,142,145,165,310,367,410,913],[1,2,5,8,15,20,
21,29,31,35,79,90,112,121,129,143,147,306,374,375,914],[1,2,5,15,20,21,78,80,
90,112,155,306,395,417,915],[1,2,5,15,20,21,78,90,118,138,143,294,341,356,
916],[1,2,5,8,15,20,21,29,31,35,78,79,90,121,129,141,147,294,357,375,917],[1,
2,5,8,9,15,20,21,29,33,39,44,45,86,90,123,152,153,158,167,179,209,216,297,331,
386,609,918],[1,2,4,5,6,7,9,14,18,20,21,22,23,28,36,38,39,41,42,48,49,88,91,
94,95,107,109,111,122,148,150,153,168,193,196,200,202,211,215,308,327,346,452,
499,510,528,608,919],[1,2,3,5,13,16,17,21,24,27,73,75,93,103,126,162,169,314,
402,422,531,553,920],[1,2,4,5,6,7,9,15,18,19,20,21,22,26,28,36,38,39,41,42,48,
49,82,90,107,109,113,119,131,134,135,136,150,151,167,199,200,202,204,211,215,
311,359,415,440,489,509,510,511,559,921],[1,2,3,9,13,14,15,39,47,69,71,72,143,
148,167,174,255,361,382,525,582,922],[1,2,3,13,14,15,16,17,24,71,73,93,143,
302,361,923],[1,2,5,8,9,14,15,20,21,29,39,44,72,86,90,101,132,143,152,153,167,
298,356,386,554,582,924],[1,2,5,6,8,14,15,20,21,22,23,29,72,77,78,80,82,86,90,
101,132,149,168,271,282,298,348,354,393,417,925],[1,2,5,9,15,20,21,23,39,44,
77,90,111,114,118,138,152,153,167,305,341,386,535,576,926],[1,2,5,9,15,20,21,
26,39,44,78,80,90,104,117,124,152,153,167,293,386,417,484,574,927],[1,2,5,6,9,
15,20,21,22,36,39,44,82,90,109,118,135,138,152,153,167,311,341,386,480,557,
928],[1,2,5,9,15,20,21,39,44,80,90,152,153,155,167,291,386,395,929],[1,2,3,5,
13,20,21,27,40,75,76,115,145,265,431,930],[1,2,3,8,9,13,20,29,32,39,47,76,87,
106,112,120,151,153,174,264,328,411,529,579,931],[1,2,5,8,14,19,20,21,26,29,
45,85,88,89,92,102,119,155,158,179,284,353,365,462,464,932],[1,2,5,6,7,15,20,
21,22,26,28,36,82,90,109,124,130,135,142,143,165,311,374,410,478,585,933],[1,
2,5,6,8,15,20,21,22,29,36,81,82,90,106,109,125,135,141,147,311,357,358,515,
571,934],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,38,43,69,86,90,107,113,119,121,
124,125,130,131,134,136,140,142,159,160,164,165,281,283,318,351,372,410,415,
454,507,513,546,935],[1,2,4,5,7,8,14,15,18,19,20,21,26,28,29,38,46,72,86,90,
101,102,107,113,119,122,124,130,131,132,134,136,142,165,170,172,173,175,178,
298,338,384,389,392,410,415,473,504,518,532,936],[1,3,5,8,16,17,24,25,27,32,
33,74,110,126,156,162,166,176,402,412,424,937],[1,2,4,5,7,8,14,18,20,21,28,29,
38,45,88,89,91,94,107,122,155,158,179,308,353,365,446,542,938],[1,2,5,8,9,15,
20,21,29,39,41,42,69,86,90,121,125,143,150,151,167,318,359,374,525,554,939],[
1,2,3,7,9,13,20,26,28,39,47,76,92,94,128,131,141,151,153,174,300,366,411,493,
547,940],[1,2,5,7,9,15,19,20,21,28,39,41,42,85,90,94,116,134,141,150,151,167,
292,357,359,547,558,941],[1,2,3,7,13,20,24,26,28,76,92,93,94,128,131,155,288,
300,378,942],[1,2,5,15,20,21,78,80,90,120,155,310,395,417,943],[1,2,4,5,7,14,
18,20,21,28,38,84,88,91,94,107,115,118,122,138,276,308,388,390,396,403,418,
944],[1,2,5,7,9,15,20,21,26,28,39,41,42,80,90,124,130,142,150,151,165,167,291,
359,410,516,574,945],[1,2,5,8,9,15,20,21,29,39,41,42,81,90,106,112,125,147,
150,151,167,306,358,359,529,543,946],[1,2,5,7,8,15,20,21,26,28,29,81,90,92,
104,106,117,124,125,130,131,142,147,159,160,165,178,293,333,358,410,416,474,
482,513,545,947],[1,2,5,14,19,20,21,25,26,30,33,40,85,88,92,102,108,119,123,
145,284,330,426,476,512,948],[1,2,5,7,15,20,21,23,26,28,77,90,111,114,124,130,
142,143,165,305,374,410,459,527,949],[1,2,4,5,15,18,20,21,26,40,90,91,92,136,
137,143,145,313,367,374,950],[1,2,5,8,15,20,21,29,40,69,86,90,121,125,141,145,
318,357,367,951],[1,2,3,5,7,8,13,20,21,26,27,28,29,32,37,46,75,76,87,92,94,
104,117,127,128,131,133,142,147,159,160,165,173,178,300,315,329,336,474,475,
506,519,545,952],[1,2,3,5,8,13,20,21,24,27,29,32,75,76,87,93,97,201,262,288,
299,368,399,405,428,953],[1,2,4,5,7,8,14,18,19,20,21,26,28,29,81,85,88,92,101,
102,104,106,113,116,119,122,131,137,140,147,165,170,172,275,284,333,334,335,
337,369,376,491,500,518,954],[1,2,3,5,8,13,20,21,24,27,29,32,45,75,76,87,93,
147,154,157,171,179,188,295,299,304,315,379,380,399,955],[1,2,5,9,15,20,21,39,
44,84,90,112,115,152,153,167,280,306,386,526,563,956],[1,2,5,8,15,20,21,29,40,
80,81,90,106,125,145,147,291,358,367,957],[1,2,3,6,8,13,14,15,22,23,29,32,71,
77,78,80,82,86,87,89,95,96,267,270,279,348,360,393,430,958],[1,2,4,5,6,9,15,
18,20,21,22,23,26,39,44,49,77,82,90,91,92,136,137,149,152,153,167,168,189,196,
199,200,313,354,386,452,477,489,561,617,959],[1,2,5,6,7,9,15,19,20,21,22,23,
28,39,44,48,77,82,85,90,94,116,134,149,152,153,167,168,193,202,203,204,292,
354,386,449,499,509,567,614,960],[1,2,5,6,9,14,19,20,21,22,23,26,36,39,41,42,
85,88,92,95,102,109,111,119,148,150,153,168,189,199,203,204,284,327,346,440,
477,508,567,597,961],[1,2,5,9,14,19,20,21,26,39,44,85,88,92,102,119,141,148,
151,152,284,339,434,493,558,962],[1,2,5,8,9,15,20,21,29,39,44,69,86,90,121,
125,143,152,153,167,318,356,386,525,537,963],[1,2,3,13,14,15,16,17,24,71,73,
93,195,302,584,964],[1,2,4,5,9,15,18,20,21,26,39,41,42,90,91,92,136,137,141,
150,151,167,313,357,359,492,493,965],[1,2,3,5,9,13,20,21,27,39,47,75,76,112,
115,120,151,153,174,265,328,411,445,563,966],[1,2,5,8,14,15,20,21,29,72,86,90,
101,118,132,138,155,298,341,395,442,575,967],[1,2,3,6,13,20,22,23,24,76,93,96,
114,135,141,168,266,366,427,968],[1,2,4,5,7,15,18,19,20,21,26,28,33,38,40,90,
107,113,119,123,131,134,136,145,297,367,415,486,512,969],[1,2,3,5,8,9,13,21,
25,27,29,30,32,33,35,39,41,42,44,47,75,87,108,123,129,146,150,152,156,161,174,
184,190,197,198,208,268,400,433,479,524,595,611,970],[1,2,3,8,13,14,15,20,29,
32,71,76,87,101,125,138,155,307,312,378,497,575,971],[1,2,4,5,7,8,15,18,19,20,
21,26,28,29,31,35,38,79,90,104,107,113,117,119,121,124,129,131,134,136,137,
140,142,147,160,172,178,274,293,375,383,407,409,415,490,491,507,545,972],[1,2,
5,7,9,15,20,21,28,37,39,40,41,42,90,127,130,133,145,150,151,167,207,212,290,
359,367,549,569,973],[1,2,3,5,8,13,20,21,24,27,29,32,35,75,76,87,93,129,158,
161,171,201,268,301,304,368,399,405,428,974],[1,2,5,6,15,20,21,22,36,82,90,
109,135,143,155,311,356,395,975],[1,2,3,9,13,20,39,47,76,84,112,120,151,153,
174,259,328,411,526,550,976],[1,2,3,5,8,13,16,17,20,21,24,27,29,32,73,75,76,
87,93,144,147,158,166,176,177,296,301,315,379,405,406,420,977],[1,2,5,15,20,
21,23,77,90,111,114,143,155,305,356,395,978],[1,2,5,14,19,20,21,26,84,85,88,
92,102,115,118,119,138,276,284,345,352,363,377,403,979],[1,2,3,7,8,13,20,26,
28,29,32,76,87,92,94,128,131,155,158,300,301,378,446,462,980],[1,2,4,5,7,9,14,
18,20,21,28,38,39,44,88,91,94,107,122,141,148,151,152,308,339,434,492,547,
981],[1,2,3,4,6,9,13,18,19,20,22,23,39,47,49,76,83,85,91,96,113,114,135,151,
153,168,174,196,200,203,204,303,411,427,452,559,562,567,592,982],[1,2,5,8,15,
20,21,23,29,31,35,40,77,79,90,111,114,121,129,145,147,305,367,375,471,483,
983],[1,2,3,4,5,7,8,13,18,19,20,21,26,27,28,29,32,38,43,75,76,83,85,87,91,104,
107,113,116,119,127,128,137,140,147,164,165,170,172,303,315,329,362,457,469,
491,500,520,984],[1,2,3,7,13,20,26,28,76,92,94,112,120,128,131,141,300,328,
366,539,551,985],[1,2,3,13,16,17,20,73,76,195,263,584,986],[1,2,3,6,8,13,20,
22,23,29,32,76,87,96,106,114,135,141,168,264,366,427,437,515,987],[1,2,3,4,5,
7,8,13,18,19,21,26,27,28,29,32,35,37,38,43,46,75,83,87,107,116,117,119,128,
129,133,137,140,142,159,160,161,164,170,172,173,178,210,268,336,362,364,373,
383,407,488,498,506,520,988],[1,2,3,5,13,16,17,21,24,27,73,75,93,103,126,195,
314,494,495,584,989],[1,2,5,8,15,20,21,23,29,77,81,90,106,111,114,125,141,147,
305,357,358,437,581,990],[1,2,3,8,13,20,24,29,32,34,76,87,93,100,139,158,188,
260,301,379,380,399,428,991],[1,2,3,7,13,20,24,26,28,76,93,104,127,128,138,
165,288,307,329,992],[1,2,3,5,8,13,16,17,21,24,27,29,32,35,45,73,75,87,93,129,
144,154,157,161,163,166,176,177,179,188,268,287,295,380,406,420,610,618,993],[
1,2,5,8,14,15,20,21,29,31,34,35,72,79,81,86,88,89,90,100,101,106,121,125,129,
132,147,298,334,347,358,375,401,487,555,994],[1,2,3,8,13,14,15,20,24,29,32,71,
76,86,87,89,93,101,125,171,188,267,304,312,317,379,380,399,995],[1,2,3,8,13,
16,17,20,24,29,32,73,76,87,93,166,177,266,286,288,296,379,399,420,996],[1,2,4,
5,7,15,18,19,20,21,25,26,28,30,38,40,90,107,108,113,119,131,134,136,145,186,
187,316,367,415,470,476,997],[1,2,4,5,15,18,20,21,26,78,80,90,91,92,136,137,
143,313,356,417,481,505,998],[1,2,3,8,13,16,17,20,24,29,32,73,76,87,93,105,
106,110,158,166,177,264,285,296,301,379,399,420,999],[1,2,3,7,8,13,20,26,28,
29,32,76,87,104,118,127,128,158,165,289,301,329,444,533,1000],[1,2,5,6,14,19,
20,21,22,23,26,85,88,92,95,102,112,114,119,120,135,149,284,370,381,391,397,
398,419,1001],[1,2,5,6,15,20,21,22,23,26,77,82,90,104,117,124,143,149,168,293,
354,356,459,478,1002],[1,2,5,8,15,20,21,29,69,86,90,118,121,125,138,155,318,
341,395,472,497,1003],[1,2,5,6,15,20,21,22,23,77,82,90,112,118,138,149,168,
306,341,354,564,580,1004],[1,2,3,7,8,13,14,15,20,26,28,29,32,46,71,76,87,92,
94,101,104,124,125,127,128,130,131,159,160,165,173,175,178,300,312,329,342,
349,387,413,416,504,506,513,1005],[1,2,3,6,7,13,20,22,23,26,28,76,92,94,96,
112,114,120,128,131,135,168,300,328,398,419,425,427,432,1006],[1,2,3,4,7,8,13,
14,15,18,19,20,26,28,29,32,43,71,76,83,85,87,91,101,102,104,113,122,125,127,
128,134,136,140,164,165,170,172,303,312,329,337,385,404,421,429,518,520,546,
1007],[1,3,5,8,16,24,27,30,32,33,70,110,126,144,146,162,177,394,402,414,
1008],[1,2,5,8,9,15,20,21,25,29,30,31,35,39,41,42,79,90,108,121,129,147,150,
151,167,190,194,198,205,316,359,375,524,587,1009],[1,2,3,7,13,20,26,28,76,84,
104,127,128,155,165,259,329,378,523,538,1010],[1,2,3,13,20,24,76,93,162,169,
266,553,1011],[1,2,5,6,15,20,21,22,23,25,30,77,82,90,108,149,155,168,316,354,
395,1012],[1,2,4,5,7,15,18,19,20,21,26,28,38,90,107,112,113,119,131,134,136,
141,306,357,415,521,539,1013],[1,2,3,13,14,15,16,17,24,71,73,93,162,169,302,
553,1014],[1,2,5,6,8,15,20,21,22,23,29,69,77,78,80,82,86,90,121,125,149,168,
277,278,318,354,360,417,430,1015],[1,2,3,13,20,76,112,118,120,141,289,328,366,
1016],[1,2,3,4,9,13,18,19,20,39,47,76,83,85,91,113,141,151,153,174,303,366,
411,492,558,1017],[1,2,5,15,20,21,80,90,118,138,143,291,341,356,1018],[1,2,3,
9,13,20,39,47,76,118,141,151,153,174,289,366,411,1019],[1,3,5,8,16,17,24,27,
30,32,33,74,110,126,146,166,169,176,412,414,422,1020],[1,2,3,8,13,20,24,29,32,
76,87,93,99,188,261,288,379,380,399,428,1021],[1,2,3,8,13,16,17,24,29,32,73,
87,93,105,110,166,171,177,188,285,286,304,380,420,428,1022],[1,2,3,4,6,13,18,
19,20,22,23,76,83,85,91,96,112,113,114,120,135,168,303,328,344,370,397,408,
427,1023],[1,2,3,9,13,20,39,47,76,138,141,151,153,174,307,366,411,1024],[1,2,
4,5,8,15,18,20,21,26,29,45,86,90,91,92,136,137,155,158,179,313,331,395,462,
542,1025],[1,2,3,5,8,13,14,15,16,17,21,24,27,29,32,71,73,75,86,87,89,93,105,
110,121,132,144,176,188,201,267,285,302,309,368,380,406,1026],[1,2,5,6,15,20,
21,22,23,77,82,90,118,120,138,149,168,310,341,354,552,556,1027],[1,3,5,8,16,
24,25,27,32,33,70,110,126,144,156,169,177,394,422,424,1028],[1,2,3,9,13,20,39,
47,76,81,112,120,151,153,174,257,328,411,543,544,1029],[1,2,3,7,8,13,20,26,28,
29,32,76,87,104,127,128,138,158,165,301,307,329,468,536,1030],[1,2,3,8,13,14,
15,20,29,32,71,76,87,101,118,125,155,289,312,378,442,472,1031],[1,2,3,7,13,20,
24,26,28,76,93,104,127,128,155,165,266,329,378,1032],[1,2,3,7,13,20,24,26,28,
76,93,104,118,127,128,165,288,289,329,1033],[1,3,5,8,16,17,24,27,32,35,45,74,
97,103,105,144,157,161,163,166,176,177,188,324,435,436,463,577,610,618,1034],[
1,2,4,9,18,19,20,23,39,81,85,112,113,114,141,151,196,203,275,397,521,543,558,
562,581,1035],[1,2,5,7,8,15,19,20,21,26,28,29,34,35,37,46,85,86,100,106,116,
119,121,124,125,127,129,130,131,133,134,140,142,147,159,160,165,170,173,351,
369,373,384,429,443,461,475,488,500,503,507,513,555,1036],[1,2,7,8,15,20,28,
29,46,84,94,125,127,130,138,155,158,173,325,342,418,446,497,523,536,1037],[1,
2,5,7,8,14,20,21,26,28,29,37,46,81,88,92,94,101,104,106,117,127,131,133,142,
147,159,160,165,173,175,178,333,334,340,343,349,371,413,461,474,475,482,504,
519,545,1038],[1,2,5,8,14,20,21,29,40,45,88,89,141,145,158,179,330,339,353,
1039],[1,2,5,6,7,9,20,21,22,23,28,39,48,94,111,112,114,115,118,149,153,168,
193,202,390,432,448,499,535,563,580,1040],[1,3,5,8,9,16,24,25,27,32,33,35,41,
44,45,47,110,126,156,157,161,181,182,184,188,190,208,216,217,424,441,467,589,
595,1041],[1,2,6,9,19,20,22,23,39,84,85,118,120,135,153,168,203,204,320,370,
377,480,550,552,567,1042],[1,2,4,6,9,15,18,22,26,39,49,69,78,82,124,136,143,
167,199,200,278,281,478,484,489,505,525,1043],[1,2,4,6,9,18,20,22,23,39,49,84,
91,112,118,135,153,168,196,200,320,344,396,452,480,526,580,1044],[1,3,5,8,9,
16,24,27,30,32,33,35,41,44,45,47,110,126,146,157,161,181,182,184,188,198,208,
209,219,414,441,467,590,611,1045],[1,2,5,7,8,14,20,21,26,28,29,45,94,101,104,
115,118,132,155,158,159,175,179,349,390,439,442,444,446,450,1046],[1,2,8,14,
19,20,26,29,84,85,101,102,104,118,140,155,158,322,337,377,442,444,464,538,
1047],[1,2,5,8,14,15,20,21,29,72,88,89,101,118,121,125,132,138,155,365,401,
403,442,472,497,575,1048],[1,2,5,9,14,20,21,39,40,44,88,145,148,151,152,155,
330,365,434,1049],[1,2,4,6,8,9,15,18,22,26,29,39,49,80,82,86,124,136,143,167,
172,178,199,200,392,430,478,481,489,537,574,1050],[1,2,4,5,6,7,9,18,21,22,26,
28,31,33,36,38,39,40,41,42,48,49,79,107,109,117,123,137,142,145,150,200,202,
211,213,215,218,409,460,486,510,534,573,583,1051],[1,3,5,8,16,24,27,31,32,45,
98,126,144,154,169,195,201,422,494,586,1052],[1,3,5,8,16,24,27,31,32,45,98,
126,144,154,162,195,201,402,494,586,1053],[1,2,3,4,5,7,13,18,19,21,25,26,27,
28,30,33,38,40,75,83,107,108,116,119,123,128,137,145,146,156,186,187,362,400,
431,470,476,486,512,1054],[1,2,3,4,5,6,7,9,13,18,19,21,22,23,26,27,28,36,38,
39,41,42,44,47,48,49,75,83,96,107,109,111,116,119,128,137,149,150,152,174,184,
189,193,196,197,199,200,202,203,204,211,215,362,423,433,440,508,510,528,592,
596,614,617,1055],[1,2,4,5,7,8,9,18,21,23,28,29,33,35,37,38,39,40,41,42,43,46,
107,111,123,129,133,145,150,164,173,193,196,208,210,212,364,471,479,486,528,
549,568,1056],[1,3,5,8,16,24,27,30,32,33,99,126,146,171,177,195,201,414,494,
578,1057],[1,2,5,6,9,19,20,21,22,23,39,85,111,112,114,115,138,149,153,168,203,
204,345,397,448,563,564,567,576,1058],[1,3,5,16,24,27,30,33,97,126,146,163,
195,323,414,495,1059],[1,2,4,5,7,8,14,15,18,19,20,21,26,28,29,37,43,46,72,88,
89,101,102,113,116,117,121,122,124,125,130,131,132,133,134,136,137,140,159,
160,164,165,170,172,173,175,178,335,338,343,389,401,443,453,490,496,502,504,
513,514,518,546,1060],[1,2,8,15,20,26,29,84,92,104,124,125,138,155,158,178,
325,363,416,462,468,497,538,1061],[1,2,3,5,8,9,13,21,25,27,29,30,32,33,39,41,
42,44,45,47,75,87,108,123,146,150,152,154,156,157,174,179,184,197,209,216,217,
219,295,400,433,589,590,609,612,613,616,1062],[1,2,5,6,8,14,20,21,22,23,29,31,
35,36,40,79,88,95,109,111,129,132,145,147,168,214,218,330,346,347,451,471,483,
573,1063],[1,2,4,6,9,18,20,22,23,39,49,84,91,114,118,120,153,168,196,200,319,
396,408,452,535,550,552,1064],[1,2,4,6,7,9,14,15,18,22,26,28,39,49,72,80,82,
122,130,136,143,167,175,199,200,282,338,481,489,516,582,585,1065],[1,2,4,5,7,
8,15,18,20,21,26,28,29,34,35,38,43,86,91,100,104,106,107,117,121,124,125,129,
130,131,136,137,142,147,159,160,164,165,172,178,350,372,392,407,421,454,457,
466,482,490,498,513,545,555,1066],[1,2,4,9,18,19,20,23,39,81,91,113,114,120,
141,151,196,203,273,408,492,522,544,562,581,1067],[1,2,6,9,19,20,22,23,39,84,
85,112,114,118,153,168,203,204,319,377,397,526,535,567,580,1068],[1,3,5,8,16,
17,24,27,31,32,34,45,74,98,99,103,105,110,126,139,144,154,166,171,176,177,201,
412,463,530,540,578,586,604,607,1069],[1,2,7,8,14,20,26,28,29,84,94,101,104,
138,155,158,159,175,322,349,418,446,468,538,575,1070],[1,2,5,7,8,14,19,20,21,
26,28,29,34,35,46,85,89,100,101,102,104,106,116,117,119,129,131,132,140,142,
147,159,160,165,170,173,175,178,321,337,369,383,473,482,487,488,496,500,502,
503,504,545,1071],[1,2,4,5,7,8,14,18,19,20,21,26,28,29,34,35,37,43,46,89,94,
100,101,102,104,106,113,119,122,129,132,133,137,140,142,147,159,160,164,165,
170,172,173,175,178,332,349,373,453,466,473,482,487,491,498,502,503,514,518,
519,1072],[1,3,5,8,9,16,24,27,30,31,32,33,42,44,45,47,98,126,144,146,154,181,
185,194,197,201,213,216,219,414,465,586,591,613,1073],[1,2,4,8,15,18,20,26,29,
84,91,104,118,125,136,155,158,172,325,396,421,444,472,538,542,1074],[1,2,3,4,
6,7,9,13,14,15,18,19,22,23,26,28,39,47,48,49,71,77,82,83,95,96,102,122,128,
134,136,148,167,174,189,193,196,199,200,202,203,204,279,382,404,449,489,509,
561,592,596,597,608,1075],[1,2,3,5,9,13,21,24,27,39,47,75,93,162,163,169,174,
182,185,287,553,570,601,619,1076],[1,2,3,6,7,13,14,15,22,23,26,28,71,77,82,95,
96,124,128,130,143,175,279,361,387,459,478,527,585,1077],[1,2,4,5,7,9,18,21,
23,28,31,33,37,38,39,40,41,42,79,107,111,123,133,145,150,180,193,196,207,213,
272,483,486,528,534,568,569,1078],[1,2,5,7,9,14,20,21,26,28,37,39,40,41,42,88,
117,133,145,148,150,153,165,175,207,212,327,330,343,549,565,569,583,1079],[1,
2,7,8,9,15,19,23,26,28,29,39,77,80,86,124,134,140,143,159,167,193,203,351,393,
449,459,541,554,574,1080],[1,2,5,8,15,20,21,26,29,45,92,104,115,118,121,124,
125,155,158,178,179,352,416,439,444,458,462,472,1081],[1,2,4,6,8,9,18,19,20,
22,26,29,39,49,92,106,112,113,135,140,141,151,172,200,204,376,419,493,515,521,
529,559,1082],[1,2,4,5,6,7,9,18,21,22,25,28,30,31,36,37,38,39,40,41,42,48,49,
79,107,108,109,133,145,150,180,183,186,187,191,194,200,202,205,211,212,215,
218,272,470,510,549,566,573,587,620,623,1083],[1,2,5,6,7,9,20,21,22,23,28,36,
39,48,94,109,115,118,120,135,149,153,168,193,202,390,425,445,455,480,499,552,
1084],[1,2,4,6,7,8,9,18,19,20,22,28,29,39,43,49,94,106,113,120,135,141,151,
164,170,200,204,332,425,515,522,547,559,579,1085],[1,2,5,6,9,20,21,22,23,26,
36,39,92,109,112,115,118,135,149,153,168,189,199,352,419,455,477,480,563,580,
1086],[1,2,5,6,14,20,21,22,23,36,88,95,109,111,112,118,120,138,168,346,391,
403,552,556,564,580,1087],[1,2,4,5,7,14,18,19,20,21,26,28,88,102,112,113,116,
120,122,131,137,141,335,339,391,521,522,539,551,1088],[1,2,4,5,7,8,14,18,20,
21,28,29,43,45,91,101,115,122,127,132,138,155,158,164,179,385,388,450,536,542,
548,575,1089],[1,2,3,8,9,13,16,17,29,32,39,47,73,87,105,110,174,181,192,195,
285,572,584,588,593,1090],[1,2,5,7,9,19,21,23,26,28,31,33,37,39,40,41,42,79,
111,116,119,123,133,142,145,150,189,203,212,213,355,483,508,512,534,549,568,
1091],[1,2,4,8,9,15,18,23,26,29,39,77,78,86,124,136,143,167,172,178,189,196,
360,392,459,484,505,537,561,1092],[1,2,5,14,20,21,25,30,33,88,108,123,141,155,
339,365,426,1093],[1,2,5,8,9,19,21,23,25,26,29,30,35,39,40,41,42,108,111,117,
119,129,140,145,150,178,189,190,198,203,383,471,476,508,524,560,565,1094],[1,
2,5,8,9,14,20,21,29,39,44,81,88,101,106,112,120,147,148,151,152,334,391,434,
529,543,544,579,1095],[1,2,5,8,14,19,20,21,26,29,45,85,101,102,104,115,132,
138,140,155,158,179,337,345,439,450,464,468,575,1096],[1,2,4,5,7,8,15,18,19,
20,21,26,28,29,34,35,43,86,92,100,104,106,113,117,119,121,124,125,129,134,136,
137,140,142,147,159,160,164,165,172,178,321,351,376,383,392,416,466,474,482,
490,491,498,507,546,555,1097],[1,3,5,8,9,16,24,27,32,42,44,47,99,126,162,171,
177,181,185,197,201,402,465,578,599,603,1098],[1,2,4,5,7,8,14,18,19,20,21,26,
28,29,31,35,37,38,43,46,79,88,102,104,107,113,116,117,119,122,127,129,131,132,
133,137,140,142,147,159,160,164,170,172,173,175,178,335,340,347,355,409,453,
469,473,475,488,491,496,498,532,545,1099],[1,2,3,9,13,24,39,47,93,99,162,169,
174,182,185,261,553,570,598,603,1100],[1,2,4,7,8,9,18,20,23,26,28,29,39,43,91,
106,114,120,131,141,151,164,172,189,193,350,408,437,447,492,551,579,1101],[1,
2,5,6,9,19,21,22,26,31,33,36,39,40,41,42,79,109,117,119,123,145,150,199,204,
213,218,274,440,460,512,534,565,573,1102],[1,2,3,9,13,24,39,47,93,97,162,169,
174,182,185,262,553,570,602,605,1103],[1,2,4,9,15,18,23,26,39,69,77,80,124,
136,143,167,189,196,277,281,459,481,525,561,574,1104],[1,2,5,8,9,14,20,21,25,
29,30,33,39,44,45,88,89,108,123,148,151,152,158,179,209,216,217,219,353,426,
434,609,612,1105],[1,2,7,8,14,20,26,28,29,84,92,101,127,138,155,158,160,175,
322,363,413,462,523,536,575,1106],[1,2,4,5,6,7,9,14,18,19,20,21,22,23,26,28,
39,44,48,49,88,95,102,113,114,116,122,131,135,137,148,149,151,152,189,193,196,
199,200,202,203,204,335,381,434,447,511,559,562,597,608,614,617,1107],[1,2,4,
8,9,18,19,20,23,26,29,39,92,106,113,114,120,140,141,151,172,196,203,376,398,
437,493,522,562,579,1108],[1,2,6,9,20,22,23,26,39,84,92,112,135,138,153,168,
189,199,320,363,419,477,526,557,564,1109],[1,2,5,7,8,14,20,21,26,28,29,45,92,
101,115,118,127,132,155,158,160,175,179,352,413,442,450,462,533,548,1110],[1,
2,4,7,8,9,18,19,20,23,28,29,39,43,94,106,112,113,114,141,151,164,170,196,203,
332,432,437,521,529,547,562,1111],[1,2,6,9,20,22,23,26,39,84,92,114,120,138,
153,168,189,199,319,363,398,477,550,556,576,1112],[1,3,5,8,9,16,24,25,27,31,
32,33,42,44,45,47,98,126,144,154,156,181,185,197,201,205,209,213,217,424,465,
586,615,616,1113],[1,3,5,8,9,16,24,27,32,41,44,47,70,110,126,144,177,181,182,
184,195,394,467,495,593,600,1114],[1,2,4,7,9,14,15,18,23,26,28,39,72,77,78,
122,130,136,143,167,175,189,196,271,338,505,517,527,561,582,1115],[1,2,7,9,15,
19,23,28,39,69,77,80,130,134,143,167,193,203,277,283,449,516,525,527,541,
1116],[1,2,7,9,20,23,26,28,39,81,94,112,114,127,131,141,151,165,189,193,371,
432,447,539,543,547,581,1117],[1,2,3,4,7,13,14,15,18,19,26,28,71,78,80,83,102,
122,128,134,136,143,270,361,404,481,485,505,541,1118],[1,2,4,5,7,8,14,18,19,
20,21,26,28,29,34,35,38,43,46,89,92,100,101,102,106,107,113,116,117,122,127,
129,132,140,142,147,159,160,164,165,170,172,173,175,178,376,407,413,461,466,
469,474,487,488,496,502,503,514,518,532,1119],[1,2,5,6,9,20,21,22,23,26,39,92,
111,114,115,118,120,149,153,168,189,199,352,398,445,448,477,535,552,1120],[1,
2,5,6,8,9,19,21,22,26,29,33,35,36,39,40,41,42,109,117,119,123,129,140,145,150,
178,199,204,208,214,383,440,451,460,479,512,583,1121],[1,2,7,8,9,15,19,23,28,
29,39,46,77,78,86,130,134,143,167,170,173,193,203,360,384,449,485,517,527,537,
1122],[1,2,4,6,9,18,19,20,22,39,49,81,91,112,113,135,141,151,200,204,273,344,
492,521,543,559,571,1123],[1,2,4,5,6,9,18,20,21,22,23,36,39,49,91,109,112,115,
135,138,149,153,168,196,200,344,388,452,455,557,563,564,1124],[1,2,4,5,7,8,9,
18,21,23,25,26,28,29,30,35,38,39,40,41,42,107,108,111,117,129,145,150,160,172,
186,187,190,193,196,198,407,470,471,524,528,560,583,1125],[1,3,5,9,16,24,27,
41,44,47,97,126,162,163,181,182,184,323,402,467,605,619,1126],[1,2,6,7,9,20,
22,23,28,39,48,84,94,112,114,138,153,168,193,202,319,418,432,499,526,564,576,
1127],[1,3,5,8,9,16,17,24,27,32,41,44,47,74,110,126,166,176,181,182,184,195,
412,467,495,588,606,1128],[1,2,4,5,6,9,18,20,21,22,23,39,49,91,111,114,115,
120,138,149,153,168,196,200,388,408,445,448,452,556,576,1129],[1,2,3,7,9,13,
14,15,26,28,39,47,71,78,80,124,128,130,148,167,174,175,270,382,387,484,516,
517,574,1130],[1,3,5,9,16,24,27,41,44,47,97,126,163,169,181,182,184,323,422,
467,601,602,1131],[1,2,5,6,7,14,20,21,22,23,25,26,28,30,33,36,37,88,95,108,
109,111,117,123,133,165,168,175,183,191,343,346,426,460,560,566,568,1132],[1,
2,7,8,15,19,20,28,29,84,85,118,125,127,134,155,158,170,325,377,429,464,472,
523,533,1133],[1,2,5,6,8,14,20,21,22,23,29,81,88,95,101,106,114,135,141,147,
149,334,339,381,437,515,571,581,1134],[1,2,7,9,20,23,26,28,39,81,92,104,114,
120,131,141,151,165,189,193,333,398,447,493,544,551,581,1135],[1,2,4,5,6,7,8,
9,18,21,22,26,28,29,33,35,36,38,39,40,41,42,48,49,107,109,117,123,129,145,150,
160,172,200,202,208,211,214,215,407,451,460,479,486,510,565,1136],[1,2,5,6,9,
14,20,21,22,23,39,41,42,88,95,114,118,135,138,148,149,150,153,327,381,403,480,
535,557,576,1137],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,34,35,37,38,43,46,86,
94,100,106,107,113,116,121,125,127,129,130,133,134,136,140,142,147,159,160,
164,165,170,173,206,210,326,332,342,364,372,384,443,454,461,469,488,503,519,
546,555,1138],[1,2,5,7,14,20,21,26,28,84,88,104,115,127,142,155,175,276,340,
365,439,523,538,548,1139],[1,2,5,8,9,14,20,21,25,29,30,31,33,35,39,41,42,79,
88,108,123,129,132,147,148,150,153,190,194,198,205,208,213,327,347,426,479,
524,534,587,1140],[1,2,4,5,6,7,8,9,18,21,22,25,28,29,30,35,36,37,38,39,40,41,
42,43,46,48,49,107,108,109,129,133,145,150,164,173,183,186,187,190,191,198,
200,202,207,210,211,214,215,364,451,470,510,524,566,569,621,622,1141],[1,2,3,
8,9,13,24,29,32,39,47,87,93,162,169,171,174,182,185,304,553,570,594,599,
1142],[1,2,3,9,13,16,17,39,47,70,73,74,174,181,192,195,256,572,584,600,606,
1143],[1,2,5,6,7,8,9,19,21,22,25,26,28,29,30,35,36,37,39,40,41,42,108,109,119,
129,133,145,150,159,170,183,190,191,198,199,204,212,214,373,440,451,476,524,
549,566,1144],[1,2,5,6,7,9,19,21,22,25,26,28,30,31,36,37,39,40,41,42,79,108,
109,116,119,133,142,145,150,183,191,194,199,204,205,207,218,355,440,476,566,
569,573,587,1145],[1,2,3,9,13,16,17,20,39,47,73,76,174,181,192,195,296,572,
584,1146],[1,2,3,9,13,16,17,24,39,47,73,93,174,181,192,195,286,572,584,1147],[
1,2,5,7,8,14,20,21,26,28,29,45,88,89,104,118,127,138,142,158,175,179,340,353,
403,444,468,533,536,1148],[1,2,4,6,7,8,9,15,18,22,26,28,29,39,43,49,78,82,86,
130,136,143,160,164,167,199,200,348,372,489,505,517,554,585,1149],[1,3,5,8,16,
24,27,32,35,45,110,126,157,161,169,188,195,422,441,495,1150],[1,3,5,8,16,24,
27,32,35,45,110,126,157,161,162,188,195,402,441,495,1151],[1,2,4,7,8,9,15,18,
23,26,28,29,39,43,77,80,86,130,136,143,160,164,167,189,196,372,393,481,516,
527,554,561,1152],[1,2,4,5,7,9,18,21,23,25,26,28,30,31,38,39,40,41,42,79,107,
108,111,117,137,142,145,150,186,187,193,194,196,205,409,470,483,528,560,565,
587,1153],[1,2,6,7,9,20,22,23,28,39,48,84,94,120,135,138,153,168,193,202,320,
418,425,499,550,556,557,1154],[1,2,3,9,13,14,15,24,39,47,71,93,143,148,167,
174,317,361,382,1155],[1,2,3,5,6,13,21,22,23,24,27,36,40,75,93,96,109,111,145,
149,299,423,431,1156],[1,2,6,7,9,14,15,19,22,26,28,39,48,72,80,82,102,124,134,
143,167,175,202,204,282,389,478,509,541,574,582,1157],[1,2,3,5,6,7,13,21,22,
23,25,26,27,28,30,33,36,37,75,96,108,109,111,117,123,128,133,142,146,149,156,
183,191,336,400,423,460,560,566,568,1158],[1,3,5,8,9,16,24,27,32,42,44,47,70,
110,126,144,177,181,185,195,197,394,465,494,588,600,1159],[1,2,6,7,8,9,15,19,
22,26,28,29,39,48,78,82,86,124,134,140,143,159,167,202,204,348,351,478,484,
485,509,554,1160],[1,3,5,8,9,16,17,24,27,32,42,44,47,74,110,126,166,176,181,
185,195,197,412,465,494,593,606,1161],[1,2,5,9,14,20,21,39,41,42,84,88,112,
115,120,148,150,153,276,327,391,445,526,550,563,1162],[1,2,4,5,8,15,18,20,21,
26,29,45,91,104,115,121,125,136,138,155,158,172,179,388,421,439,458,468,497,
542,1163],[1,3,5,8,9,16,24,27,32,42,44,47,99,126,169,171,177,181,185,197,201,
422,465,578,594,598,1164],[1,2,5,6,9,19,20,21,22,23,36,39,85,109,115,120,135,
138,149,153,168,203,204,345,370,445,455,556,557,567,1165],[1,3,5,8,16,24,25,
27,32,33,99,126,156,171,177,195,201,424,494,578,1166],[1,2,5,7,8,9,19,21,23,
26,28,29,33,35,37,39,40,41,42,111,119,123,129,133,145,150,159,170,189,203,207,
208,373,471,479,508,512,568,569,1167],[1,2,5,7,8,15,20,21,28,29,45,46,94,115,
118,121,125,127,130,155,158,173,179,342,390,446,458,472,533,548,1168],[1,2,4,
5,7,8,14,18,20,21,26,28,29,34,35,37,38,43,46,89,91,100,101,106,107,122,127,
129,131,132,133,137,142,147,159,160,164,165,172,173,175,178,206,210,326,350,
364,385,453,457,461,466,475,487,498,504,514,532,1169],[1,2,3,5,7,9,13,21,26,
27,28,37,39,40,41,42,44,47,75,117,128,133,142,145,150,152,174,184,197,207,212,
336,431,433,549,565,569,583,1170],[1,2,4,6,9,18,19,20,22,39,49,81,85,113,120,
135,141,151,200,204,275,370,522,544,558,559,571,1171],[1,3,5,16,24,25,27,33,
97,126,156,163,195,323,424,495,1172],[1,2,5,7,8,15,19,20,21,28,29,45,85,115,
121,125,127,134,138,155,158,170,179,345,429,458,464,497,536,548,1173],[1,2,7,
9,14,15,19,23,26,28,39,72,77,78,102,124,134,143,167,175,193,203,271,389,449,
459,484,485,582,1174],[1,2,4,7,8,14,18,20,28,29,43,84,91,101,118,122,127,155,
158,164,322,385,396,442,523,533,542,1175],[1,2,4,6,7,8,9,18,20,22,26,28,29,39,
43,48,91,106,112,131,135,141,151,164,172,199,202,344,350,492,511,515,529,539,
1176],[1,2,6,7,9,15,19,22,28,39,48,69,78,82,130,134,143,167,202,204,278,283,
485,509,517,525,585,1177],[1,2,6,7,9,20,22,26,28,39,48,81,94,120,127,131,135,
141,151,165,199,202,371,425,511,544,547,551,571,1178],[1,2,6,7,8,9,15,19,22,
28,29,39,46,48,80,82,86,130,134,143,167,170,173,202,204,384,430,509,516,537,
541,585,1179],[1,2,5,9,19,21,23,25,26,30,31,39,40,41,42,79,108,111,117,119,
145,150,189,194,203,205,274,476,483,508,560,583,587,1180],[1,2,3,4,5,7,8,13,
14,15,18,19,21,26,27,28,29,32,37,38,43,46,71,75,83,87,102,107,116,117,119,121,
122,124,128,130,132,133,134,136,137,140,142,159,160,164,170,172,173,175,178,
309,336,362,387,404,443,453,454,473,490,496,506,507,520,532,1181],[1,2,6,7,9,
20,22,26,28,39,48,81,92,104,112,131,135,141,151,165,199,202,333,419,493,511,
539,543,571,1182],[1,2,7,8,9,19,20,23,26,28,29,39,85,106,112,114,131,140,141,
151,170,189,193,369,397,437,447,529,539,558,1183],[1,2,6,7,8,9,19,20,22,26,28,
29,39,48,85,106,120,131,135,140,141,151,170,199,202,369,370,511,515,551,558,
579,1184],[1,3,5,9,17,24,27,42,44,47,97,103,162,163,169,182,192,197,324,501,
531,601,602,605,619,1185],[1,3,5,8,9,17,24,27,32,41,44,47,99,103,162,166,169,
171,184,185,192,201,438,530,531,594,598,599,603,1186],[1,3,5,8,9,17,24,25,27,
30,31,32,33,42,44,45,47,98,103,146,154,156,176,182,192,194,197,201,205,209,
213,216,217,219,456,501,540,591,613,615,616,1187],[1,3,5,8,9,17,24,25,27,30,
32,33,35,41,44,45,47,103,105,146,156,157,161,184,185,188,190,192,198,208,209,
216,217,219,438,456,577,589,590,595,611,1188],[1,2,10,11,12,23,50,51,56,220,
232,233,624,1189],[1,2,9,10,11,12,39,50,51,56,60,65,67,68,220,235,243,247,624,
629,1190],[1,2,9,10,11,12,39,50,51,56,62,63,64,65,68,220,238,240,247,624,625,
626,1191],[1,2,10,11,12,19,50,51,56,220,222,244,624,1192],[1,2,4,10,11,12,18,
50,51,52,56,66,220,223,242,624,628,1193],[1,2,3,10,11,12,13,50,51,53,54,55,56,
58,220,221,224,231,624,630,1194],[1,2,6,10,11,12,22,50,51,56,59,61,220,230,
234,624,627,1195],[1,3,9,10,11,12,47,53,54,55,58,60,62,64,65,67,68,220,245,
252,253,254,626,629,630,1196],[1,3,9,10,11,12,47,53,54,55,58,60,63,64,65,67,
68,220,241,249,252,253,625,629,630,1197],[1,4,6,9,10,11,12,49,52,59,61,63,64,
65,66,220,246,251,625,627,628,1198],[1,4,6,9,10,11,12,49,52,59,61,62,64,66,68,
220,246,250,626,627,628,1199],[1,2,3,11,13,14,15,51,54,55,69,71,72,224,255,
633,1200],[1,2,3,10,13,16,17,50,53,70,73,74,221,256,632,1201],[1,2,3,11,13,16,
17,51,54,55,70,73,74,224,256,631,1202],[1,2,5,10,15,20,21,50,84,90,115,227,
280,634,1203],[1,2,3,10,13,20,50,53,76,84,221,259,634,1204],[1,2,5,10,14,20,
21,50,84,88,115,226,276,634,1205],[1,2,4,10,18,20,50,52,84,91,118,223,396,634,
1206],[1,2,7,10,20,28,50,57,84,94,138,229,418,634,1207],[1,2,10,19,20,50,84,
85,118,222,377,634,1208],[1,2,10,20,26,50,84,92,138,228,363,634,1209],[1,2,3,
12,13,14,15,56,58,69,71,72,231,255,636,1210],[1,2,6,12,15,22,56,59,69,78,82,
230,278,636,1211],[1,2,4,10,15,18,26,50,52,69,124,136,223,227,228,281,635,652,
654,1212],[1,2,12,15,23,56,69,77,80,232,277,636,1213],[1,2,3,10,13,14,15,50,
53,69,71,72,221,226,227,255,635,651,659,1214],[1,2,7,10,15,19,28,50,57,69,130,
134,222,227,229,283,635,643,653,1215],[1,2,8,10,14,20,29,50,84,101,158,226,
322,634,1216],[1,2,8,10,15,20,29,50,84,125,158,227,325,634,1217],[1,2,7,10,20,
28,50,57,84,127,155,229,523,634,1218],[1,3,5,11,16,24,27,55,97,126,163,236,
323,638,1219],[1,2,3,11,13,24,51,54,55,93,97,224,262,638,1220],[1,2,9,10,20,
39,50,64,84,120,153,238,550,634,1221],[1,2,6,10,20,22,23,50,61,84,114,168,234,
319,634,1222],[1,2,9,10,20,39,50,60,84,112,153,235,526,634,1223],[1,3,5,11,17,
24,27,55,97,103,163,239,324,638,1224],[1,2,6,10,20,22,23,50,84,135,168,233,
320,634,1225],[1,2,10,20,26,50,84,104,155,228,538,634,1226],[1,2,3,12,13,16,
17,56,58,70,73,74,231,256,639,1227],[1,2,3,11,13,16,17,51,54,55,70,73,74,224,
236,239,256,640,669,681,1228],[1,2,7,12,15,19,28,56,69,130,134,244,283,636,
1229],[1,2,3,7,10,13,14,15,26,28,50,53,57,71,124,128,130,175,221,226,227,228,
229,387,650,652,653,659,676,1230],[1,2,3,9,10,13,14,15,39,47,50,53,60,64,71,
148,167,174,221,226,227,235,238,252,382,644,655,659,667,680,1231],[1,2,6,7,9,
10,15,19,22,28,39,48,50,57,60,61,82,134,167,202,204,222,227,229,234,235,248,
509,643,645,655,674,685,1232],[1,2,3,4,7,10,13,14,15,18,19,26,28,50,52,53,57,
71,83,102,122,128,134,136,221,222,223,226,227,228,229,404,637,643,650,654,656,
659,660,1233],[1,2,3,10,13,14,15,50,53,71,78,80,221,226,227,270,647,649,659,
1234],[1,2,3,5,12,13,21,27,31,56,58,75,79,98,225,231,258,648,664,1235],[1,2,4,
12,15,18,26,56,66,69,124,136,242,281,636,1236],[1,2,6,10,15,22,50,61,69,78,82,
227,234,278,635,645,647,1237],[1,2,4,12,18,19,20,56,81,91,113,244,273,646,
1238],[1,2,10,15,23,50,69,77,80,227,233,277,635,649,661,1239],[1,2,7,9,10,15,
19,23,28,39,50,57,64,77,134,167,193,203,222,227,229,233,238,449,643,644,661,
663,678,1240],[1,2,4,6,9,10,15,18,22,26,39,49,50,52,61,64,82,136,167,199,200,
223,227,228,234,238,246,489,644,645,654,665,670,1241],[1,2,6,10,14,15,22,50,
61,72,80,82,226,227,234,282,645,649,651,1242],[1,2,6,7,10,15,22,28,50,57,61,
82,130,143,227,229,234,585,642,645,653,1243],[1,2,7,10,15,23,28,50,57,77,130,
143,227,229,233,527,641,653,661,1244],[1,3,8,11,16,24,32,55,97,177,188,236,
435,638,1245],[1,2,5,12,19,21,26,31,56,79,117,119,225,244,274,648,1246],[1,2,
4,10,15,18,26,50,52,80,136,143,223,227,228,481,642,649,654,1247],[1,2,5,9,12,
21,31,33,39,41,42,56,67,79,123,150,213,225,243,534,648,675,1248],[1,2,6,12,20,
22,56,59,81,135,141,230,571,646,1249],[1,2,3,6,10,13,14,15,22,23,50,53,61,71,
77,82,95,96,221,226,227,233,234,279,645,659,661,666,668,1250],[1,2,3,12,13,20,
56,58,76,81,231,257,646,1251],[1,2,9,12,20,39,56,67,81,112,151,243,543,646,
1252],[1,2,3,10,13,14,15,50,53,71,143,221,226,227,361,641,642,659,1253],[1,2,
10,15,23,26,50,77,124,143,227,228,233,459,642,652,661,1254],[1,2,7,10,15,19,
28,50,57,80,134,143,222,227,229,541,641,643,649,1255],[1,2,6,10,15,22,26,50,
61,82,124,143,227,228,234,478,641,645,652,1256],[1,2,7,9,10,15,28,39,50,57,64,
80,130,167,227,229,238,516,644,649,653,1257],[1,3,8,11,17,24,32,55,97,166,188,
239,436,638,1258],[1,2,4,5,7,12,18,21,28,31,37,38,56,66,79,107,133,180,225,
242,272,648,686,1259],[1,2,9,10,14,15,39,50,64,72,143,167,226,227,238,582,642,
644,651,1260],[1,2,9,10,15,26,39,50,64,78,124,167,227,228,238,484,644,647,652,
1261],[1,2,4,7,10,14,15,18,26,28,50,52,57,72,122,130,136,175,223,226,227,228,
229,338,651,653,654,656,676,1262],[1,2,7,10,15,19,28,50,57,78,134,143,222,227,
229,485,642,643,647,1263],[1,2,10,14,15,23,50,72,77,78,226,227,233,271,647,
651,661,1264],[1,2,4,12,18,19,20,56,66,81,85,113,242,275,646,1265],[1,2,5,6,
12,21,22,31,36,40,56,59,79,109,145,218,225,230,573,648,672,1266],[1,3,9,11,24,
47,55,68,97,169,182,245,602,638,1267],[1,2,5,9,12,21,25,30,31,39,41,42,56,62,
63,79,108,150,194,205,225,240,587,648,657,658,1268],[1,2,4,9,10,15,18,23,26,
39,50,52,60,77,136,167,189,196,223,227,228,233,235,561,654,655,661,683,684,
1269],[1,2,5,12,21,23,31,40,56,79,111,145,225,232,483,648,1270],[1,2,7,10,14,
15,19,26,28,50,57,72,102,124,134,175,222,226,227,228,229,389,643,651,652,660,
676,1271],[1,2,9,10,15,39,50,64,69,143,167,227,238,525,635,641,644,1272],[1,2,
7,9,10,15,28,39,50,57,60,78,130,167,227,229,235,517,647,653,655,1273],[1,2,4,
10,15,18,26,50,52,78,136,143,223,227,228,505,641,647,654,1274],[1,2,9,10,15,
39,50,60,69,143,167,227,235,525,635,642,655,1275],[1,2,9,12,15,39,56,67,69,
143,167,243,525,636,1276],[1,2,9,10,14,15,39,50,60,72,143,167,226,227,235,582,
641,651,655,1277],[1,2,9,12,15,39,56,62,63,69,143,167,240,525,636,1278],[1,2,
9,12,20,39,56,62,63,81,120,151,240,544,646,1279],[1,2,9,10,15,26,39,50,60,80,
124,167,227,228,235,574,649,652,655,1280],[1,3,9,11,24,47,55,65,97,162,182,
241,605,638,1281],[1,2,12,20,23,56,81,114,141,232,581,646,1282],[1,4,5,6,7,9,
12,30,31,36,37,38,40,42,48,49,59,63,66,180,186,191,194,212,215,218,225,251,
620,657,672,686,1283],[1,3,9,11,16,47,54,65,68,70,181,195,253,600,631,1284],[
1,2,3,6,7,9,10,13,22,23,26,28,39,47,48,50,53,57,60,61,64,96,128,174,189,193,
199,202,221,228,229,233,234,235,238,248,252,596,650,663,665,668,680,683,685,
1285],[1,2,3,9,11,13,16,17,39,47,51,54,55,65,68,73,174,181,192,224,236,239,
241,245,247,253,572,669,679,682,689,690,1286],[1,2,3,4,6,9,10,13,18,19,22,23,
39,47,49,50,52,53,60,61,64,83,96,174,196,200,203,204,221,222,223,233,234,235,
238,246,252,592,637,668,670,674,678,680,684,1287],[1,3,9,12,16,47,58,63,67,70,
181,195,249,600,639,1288],[1,3,5,9,12,27,30,31,33,42,44,47,58,63,67,98,146,
194,197,213,225,249,591,657,664,675,1289],[1,4,5,6,7,9,12,25,31,36,37,38,40,
42,48,49,59,62,66,180,183,187,205,212,215,218,225,250,623,658,672,686,1290],[
1,3,9,11,16,47,55,65,70,181,195,236,241,600,640,679,687,1291],[1,2,9,11,15,39,
51,65,68,69,143,167,247,525,633,1292],[1,2,3,12,13,24,56,58,93,99,231,261,673,
1293],[1,2,6,9,10,14,19,22,23,26,39,50,60,61,64,95,102,148,189,199,203,204,
222,226,228,233,234,235,238,597,660,665,666,667,674,678,683,1294],[1,2,4,7,8,
12,18,28,29,34,43,46,56,66,100,164,173,206,237,242,326,671,688,1295],[1,3,9,
11,16,17,47,55,65,74,181,195,236,239,241,606,677,679,681,1296],[1,3,5,9,12,25,
27,31,33,42,44,47,58,62,67,98,156,197,205,213,225,254,615,658,664,675,1297],[
1,3,9,11,16,47,55,68,70,181,195,236,245,600,640,677,682,1298],[1,3,9,11,16,17,
47,55,68,74,181,195,236,239,245,606,681,682,687,1299],[1,3,9,12,24,47,58,63,
67,99,162,185,249,603,673,1300],[1,2,4,6,7,9,10,14,18,22,23,28,39,48,49,50,52,
57,60,61,64,95,122,148,193,196,200,202,223,226,229,233,234,235,238,246,248,
608,656,663,666,667,670,684,685,1301],[1,2,8,12,19,26,29,34,56,100,140,178,
237,244,321,671,1302],[1,3,9,10,16,47,53,60,64,70,181,195,252,600,632,1303],[
1,3,9,12,24,47,58,62,67,99,169,185,254,598,673,1304],[1,2,3,8,12,13,29,32,34,
56,58,87,100,139,231,237,260,671,691,1305],[1,2,3,11,13,16,17,51,54,55,73,195,
224,236,239,584,669,677,687,1306],[1,3,9,12,16,47,58,62,67,70,181,195,254,600,
639,1307],[1,2,3,4,6,9,12,13,18,19,22,23,39,47,49,56,58,59,62,63,66,67,83,96,
174,196,200,203,204,230,231,232,240,242,243,244,249,250,251,254,592,662,692,
693,694,695,696,697,1308],[1,2,3,13,16,17,20,70,73,74,76,81,84,256,257,259,
263,296,701,715,1309],[1,2,3,13,14,15,16,17,24,69,70,71,72,73,74,93,97,99,255,
256,261,262,286,302,317,700,703,810,1310],[1,2,3,5,8,13,14,15,20,21,27,29,31,
32,34,35,69,71,72,75,76,79,81,86,87,88,89,90,98,100,101,106,121,125,129,132,
139,147,161,255,257,258,260,264,267,268,269,298,309,312,315,318,334,347,358,
375,401,487,555,706,712,713,726,745,994,1311],[1,2,3,5,8,13,14,15,20,21,27,29,
32,45,69,71,72,75,76,84,86,87,88,89,90,101,115,121,125,132,154,157,158,179,
255,259,265,267,269,276,280,295,298,301,309,312,318,322,325,331,353,401,450,
458,698,705,706,708,720,724,765,817,1312],[1,2,3,5,13,14,15,20,21,27,71,75,76,
78,80,84,88,90,115,259,265,269,270,276,280,291,294,417,698,721,722,776,1313],[
1,2,3,5,6,13,14,15,20,21,22,23,27,36,71,75,76,77,82,84,88,90,95,96,109,111,
114,115,135,149,168,259,265,269,276,279,280,305,311,319,320,346,354,381,423,
427,448,455,698,704,725,727,763,789,818,1314],[1,2,3,5,13,20,21,24,27,31,75,
76,79,81,93,98,99,115,163,257,258,261,265,266,287,299,405,718,750,759,1315],[
1,2,3,5,8,13,16,17,21,24,27,29,32,35,45,70,73,74,75,87,93,97,103,105,110,126,
129,144,154,157,161,163,166,176,177,179,188,256,262,268,285,287,295,314,323,
324,380,394,406,412,420,435,436,441,463,577,610,618,702,728,739,747,814,819,
993,1034,1316],[1,2,3,8,13,20,24,29,32,34,76,81,87,93,99,100,139,158,188,257,
260,261,288,301,379,380,399,428,804,991,1021,1317],[1,2,3,5,8,13,16,17,21,24,
27,29,31,32,34,45,70,73,74,75,79,87,93,98,99,100,103,105,110,126,139,144,154,
157,166,171,176,177,179,201,256,258,260,261,285,295,304,314,368,394,406,412,
420,463,530,540,578,586,604,607,739,758,771,816,868,1069,1318],[1,2,3,5,13,20,
21,24,27,75,76,81,93,115,138,257,265,266,307,405,714,718,1319],[1,2,3,5,8,13,
14,15,20,21,24,27,29,31,32,35,71,75,76,79,84,87,88,90,93,98,115,121,129,132,
147,161,163,201,258,259,265,268,269,276,280,287,288,299,309,315,317,347,368,
375,379,405,698,713,716,746,759,784,809,825,1320],[1,2,3,5,8,13,14,15,16,17,
20,21,24,27,29,32,71,73,75,76,81,84,87,88,90,93,101,103,106,115,125,126,144,
147,176,257,259,263,264,265,266,269,276,280,296,302,312,314,315,334,358,399,
405,406,698,709,711,712,715,717,718,821,875,1321],[1,2,3,7,13,16,17,20,26,28,
73,76,81,84,92,94,104,127,128,131,138,165,257,259,263,296,300,307,329,333,363,
371,418,707,714,715,732,780,1322],[1,2,3,5,8,13,14,15,20,21,24,27,29,32,45,71,
75,76,81,86,87,88,89,90,93,101,106,125,147,154,157,158,171,179,188,257,264,
267,269,288,295,299,301,304,312,315,317,331,334,353,358,379,380,399,708,712,
716,798,804,955,995,1323],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,69,71,
72,73,75,76,86,87,88,89,90,93,101,103,121,125,126,132,166,177,255,263,266,267,
269,288,298,299,302,309,312,314,317,318,401,420,428,703,706,716,717,766,769,
799,873,1324],[1,2,3,8,13,16,17,20,24,29,32,73,76,81,84,87,93,105,106,110,158,
166,177,257,259,263,264,266,285,286,288,296,301,379,399,420,711,715,787,804,
996,999,1325],[1,2,3,13,16,17,20,73,76,81,84,118,257,259,263,289,296,710,715,
1326],[1,2,3,5,7,8,13,14,15,20,21,26,27,28,29,32,37,46,71,75,76,81,87,88,90,
92,94,101,104,106,117,124,125,127,128,130,131,133,142,147,159,160,165,173,175,
178,257,264,269,290,293,300,312,315,329,333,334,336,340,342,343,349,358,371,
387,410,413,416,461,474,475,482,504,506,513,519,545,707,712,762,786,828,947,
952,1005,1038,1327],[1,2,3,5,7,13,20,21,24,26,27,28,75,76,81,92,93,94,104,115,
118,127,128,131,165,257,265,266,289,300,329,333,352,371,390,405,707,710,718,
783,803,1328],[1,2,3,4,13,16,17,18,19,20,73,76,81,83,84,85,91,113,118,257,259,
263,273,275,289,296,303,377,396,699,710,715,749,785,1329],[1,2,3,5,9,13,14,15,
16,17,20,21,24,27,39,41,42,44,47,71,73,75,76,88,90,93,103,126,148,150,151,152,
153,167,174,181,182,184,185,192,197,263,266,269,302,314,327,359,382,386,411,
433,434,438,465,467,501,570,572,717,752,781,800,845,855,1330],[1,2,3,5,8,13,
14,15,20,21,27,29,32,71,75,76,81,87,88,90,101,106,118,125,138,147,257,264,269,
289,307,312,315,334,341,358,403,710,712,714,734,773,1331],[1,2,3,5,13,20,21,
24,27,75,76,81,93,115,155,257,265,266,378,405,718,788,1332],[1,2,3,5,8,13,20,
21,24,27,29,32,35,75,76,81,87,93,97,115,129,158,161,171,201,257,262,265,266,
268,288,299,301,304,368,379,399,405,428,718,735,804,809,953,974,1333],[1,2,3,
5,8,13,14,15,16,17,20,21,24,27,29,31,32,35,45,71,73,75,76,79,86,87,88,89,90,
93,98,103,105,110,121,126,129,132,144,147,154,157,158,161,176,179,188,201,258,
263,266,267,268,269,285,295,301,302,309,314,315,331,347,353,368,375,380,406,
441,540,577,586,708,713,717,733,747,758,791,1026,1334],[1,2,3,5,13,14,15,16,
17,20,21,24,27,71,73,75,76,88,90,93,103,112,120,126,263,266,269,302,306,310,
314,328,391,717,743,772,790,1335],[1,2,3,5,8,13,14,15,20,21,27,29,32,71,75,76,
81,87,88,90,101,106,125,147,155,257,264,269,312,315,334,358,365,378,395,712,
748,774,788,1336],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,29,32,38,43,71,
75,76,81,83,85,87,88,90,91,92,94,101,102,104,106,107,113,116,119,122,125,127,
128,131,134,136,137,140,147,164,165,170,172,257,264,269,273,275,284,292,300,
303,308,312,313,315,329,332,333,334,335,337,350,358,362,369,371,376,385,404,
415,421,429,457,469,491,500,518,520,546,699,707,712,736,756,892,893,897,954,
984,1007,1337],[1,2,3,13,16,17,20,73,76,81,84,155,257,259,263,296,378,715,788,
1338],[1,2,3,5,13,14,15,20,21,27,40,71,75,76,84,88,90,115,145,259,265,269,276,
280,330,367,431,698,755,930,1339],[1,2,3,4,5,13,18,19,20,21,24,27,75,76,81,83,
85,91,93,113,115,138,257,265,266,273,275,303,307,345,388,405,699,714,718,761,
801,1340],[1,2,3,5,13,14,15,20,21,27,71,75,76,84,88,90,115,141,259,265,269,
276,280,339,357,366,698,775,782,802,1341],[1,2,3,5,13,14,15,16,17,20,21,24,27,
71,73,75,76,88,90,93,103,126,143,263,266,269,302,314,356,361,374,717,741,923,
1342],[1,2,3,5,13,14,15,16,17,20,21,24,25,27,30,33,71,73,75,76,88,90,93,103,
108,123,126,146,156,263,266,269,297,302,314,316,400,414,424,426,456,717,731,
851,1343],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,31,34,35,37,38,43,46,69,79,81,
85,86,90,94,100,106,107,113,116,119,121,124,125,127,129,130,131,133,134,136,
140,142,147,159,160,164,165,170,173,180,206,210,272,275,281,283,290,292,318,
326,332,342,351,355,358,364,369,371,372,373,375,384,410,415,429,443,454,461,
469,475,488,500,503,507,513,519,546,555,726,768,828,861,877,897,935,1036,1138,
1344],[1,2,5,6,8,14,15,20,21,22,23,29,45,72,77,78,80,82,84,86,90,101,111,114,
115,132,149,158,168,179,271,280,282,294,298,305,319,322,331,348,354,360,393,
417,448,450,720,722,725,792,854,856,925,1345],[1,2,5,6,8,15,20,21,22,23,29,36,
45,69,77,78,80,82,84,86,90,109,115,121,125,135,149,158,168,179,277,278,280,
294,311,318,320,325,331,348,354,360,417,430,455,458,722,724,727,805,852,854,
1015,1346],[1,2,5,6,8,15,20,21,22,23,29,45,69,77,78,80,82,84,86,90,111,114,
115,121,125,149,158,168,179,277,278,280,291,305,318,319,325,331,354,360,393,
417,430,448,458,721,724,725,760,836,856,1015,1347],[1,2,4,5,7,8,15,18,19,20,
21,26,28,29,31,34,35,38,43,69,79,81,86,90,91,92,100,104,106,107,113,117,119,
121,124,125,129,130,131,134,136,137,140,142,147,159,160,164,165,172,178,273,
274,281,283,293,313,318,321,333,350,351,358,372,375,376,383,392,407,409,410,
415,416,421,454,457,466,474,482,490,491,498,507,513,545,546,555,726,779,850,
893,935,947,972,1066,1097,1348],[1,2,5,6,8,14,15,20,21,22,23,29,36,45,72,77,
78,80,82,84,86,90,101,109,115,132,135,149,158,168,179,271,280,282,291,298,311,
320,322,331,348,354,393,417,430,450,455,720,721,727,770,836,852,925,1349],[1,
2,3,5,6,7,13,14,15,20,21,22,23,25,26,27,28,30,33,36,37,71,75,76,77,82,88,90,
95,96,104,108,109,111,114,117,123,124,127,128,130,133,135,142,146,149,156,165,
168,175,183,191,269,279,290,293,297,305,311,316,329,336,340,343,346,354,381,
387,400,410,423,426,427,460,560,566,568,731,737,762,763,794,797,806,1132,1158,
1350],[1,2,3,5,8,9,13,16,17,20,21,27,29,32,39,47,73,75,76,87,106,112,115,120,
144,151,153,174,176,181,192,263,264,265,328,406,411,445,529,563,572,579,709,
743,781,931,966,1351],[1,2,3,5,13,14,15,20,21,27,71,75,76,88,90,141,143,155,
269,339,356,357,361,365,366,374,378,395,741,774,775,1352],[1,2,5,6,7,8,15,19,
20,21,22,25,28,29,30,36,37,46,69,78,82,85,86,90,94,108,109,116,120,121,125,
127,130,133,134,135,170,173,183,191,278,283,290,292,294,310,311,316,318,342,
348,370,384,425,429,443,566,768,777,793,805,806,807,813,1353],[1,2,3,4,5,7,8,
13,16,17,18,19,20,21,26,27,28,29,32,43,73,75,76,83,85,87,91,92,94,106,113,115,
118,128,131,138,140,144,164,170,172,176,263,264,265,289,300,303,307,332,345,
350,352,369,376,388,390,406,520,709,734,736,780,785,801,803,1354],[1,2,3,5,9,
13,14,15,20,21,27,39,41,42,44,47,71,75,76,88,90,118,138,141,148,150,151,152,
153,167,174,184,197,269,289,307,327,339,341,357,359,366,382,386,403,411,433,
434,752,773,775,1019,1024,1355],[1,2,4,5,6,7,8,14,15,18,20,21,22,25,26,28,29,
30,36,37,43,72,80,82,86,90,91,92,101,108,109,112,122,127,130,132,133,135,136,
137,160,164,175,183,191,282,290,291,298,306,311,313,316,338,344,372,385,413,
419,430,453,566,740,751,770,795,806,808,811,1356],[1,2,3,5,13,20,21,24,27,40,
75,76,81,93,115,145,257,265,266,405,431,718,930,1357],[1,2,3,5,8,13,14,15,16,
17,20,21,24,27,29,32,34,35,45,71,73,75,76,86,87,89,93,100,101,105,106,110,115,
121,125,129,132,139,144,147,154,157,158,161,163,166,171,176,177,179,188,201,
260,263,264,265,267,268,285,287,288,295,301,302,304,309,312,315,368,380,406,
420,450,458,487,555,604,607,610,618,709,733,738,745,765,766,784,798,868,993,
1026,1358],[1,2,4,5,7,8,14,15,18,20,21,23,26,28,29,33,37,43,72,77,78,86,90,91,
92,101,111,114,120,122,123,127,130,132,133,136,137,160,164,175,271,290,294,
297,298,305,310,313,338,360,372,385,398,408,413,453,568,737,740,753,754,792,
793,796,1359],[1,2,3,6,8,13,20,22,23,24,29,32,76,84,87,93,96,106,114,135,141,
168,259,264,266,319,320,366,399,427,437,515,704,711,782,968,987,1360],[1,2,3,
5,8,9,13,14,15,20,21,27,29,32,39,41,42,44,47,71,75,76,81,87,88,90,101,106,112,
120,125,147,148,150,151,152,153,167,174,184,197,257,264,269,306,310,312,315,
327,328,334,358,359,382,386,391,411,433,434,529,543,544,579,712,752,772,902,
931,946,1029,1095,1361],[1,2,3,5,9,13,14,15,20,21,24,27,39,41,42,44,47,71,75,
76,88,90,93,143,148,150,151,152,153,167,174,184,197,269,288,299,317,327,356,
359,361,374,382,386,411,433,434,716,741,752,1155,1362],[1,2,3,4,5,7,8,13,14,
15,18,19,20,21,26,27,28,29,31,32,35,37,38,43,46,71,75,76,79,83,85,87,88,90,91,
92,94,98,102,104,107,113,116,117,119,121,122,124,127,128,129,130,131,132,133,
134,136,137,140,142,147,159,160,161,164,165,170,172,173,175,178,180,210,258,
268,269,272,274,284,290,292,293,300,303,308,309,313,315,329,335,336,340,343,
347,355,362,364,373,375,383,387,404,407,409,410,415,443,453,454,457,469,473,
474,475,488,490,491,496,498,500,506,507,519,520,532,545,713,729,756,762,833,
850,861,866,877,952,972,984,988,1099,1181,1363],[1,2,5,7,8,15,19,20,21,23,28,
29,33,37,46,69,77,80,85,86,90,94,111,112,114,116,121,123,125,127,130,133,134,
170,173,277,283,290,291,292,297,305,306,318,342,384,393,397,429,432,443,568,
730,737,751,757,760,768,778,1364],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,
70,71,73,74,75,76,87,88,90,93,101,103,105,110,125,126,144,166,176,177,256,263,
266,269,285,286,288,296,302,312,314,379,394,399,405,406,412,420,463,700,701,
717,739,742,744,766,787,821,826,996,1365],[1,2,3,5,9,13,14,15,20,21,27,39,40,
41,42,44,47,71,75,76,88,90,145,148,150,151,152,153,155,167,174,184,197,269,
327,330,359,365,367,378,382,386,395,411,431,433,434,752,755,774,1049,1366],[1,
2,3,7,8,13,20,24,26,28,29,32,76,81,87,92,93,94,104,127,128,131,138,158,165,
257,288,300,301,307,329,333,371,379,399,468,536,707,714,804,992,1030,1367],[1,
2,3,4,5,6,7,9,13,14,15,18,19,20,21,22,23,26,27,28,36,38,39,41,42,44,47,48,49,
71,75,76,77,82,83,85,88,90,91,92,94,95,96,102,107,109,111,113,114,116,119,122,
128,131,134,135,136,137,148,149,150,151,152,153,167,168,174,184,189,193,196,
197,199,200,202,203,204,211,215,269,279,284,292,300,303,305,308,311,313,327,
335,346,354,359,362,381,382,386,404,411,415,423,427,433,434,440,447,449,452,
477,489,499,508,509,510,511,528,559,561,562,567,592,596,597,608,614,617,752,
756,763,830,887,919,921,959,960,961,982,1055,1075,1107,1368],[1,2,3,5,8,13,14,
15,16,17,21,24,27,29,32,70,71,73,74,75,86,87,89,93,103,105,110,121,126,132,
144,163,166,171,176,177,188,201,256,267,285,286,287,299,302,304,309,314,317,
368,380,394,406,412,420,428,463,700,738,739,799,827,835,873,1022,1026,1369],[
1,2,3,5,13,14,15,20,21,25,27,30,33,71,75,76,84,88,90,108,115,123,143,146,156,
259,265,269,276,280,297,316,356,361,374,400,426,698,731,741,865,896,1370],[1,
2,3,5,8,13,14,15,20,21,27,29,32,40,69,71,72,75,76,86,87,88,89,90,101,121,125,
132,141,145,255,267,269,298,309,312,318,330,339,357,366,367,401,431,706,755,
775,871,951,1371],[1,2,3,5,13,20,21,24,27,75,76,81,93,115,162,169,257,265,266,
405,553,718,1011,1372],[1,2,3,5,8,9,13,14,15,20,21,27,29,32,39,41,42,44,47,69,
71,72,75,76,86,87,88,89,90,101,121,125,132,143,148,150,151,152,153,167,174,
184,197,255,267,269,298,309,312,318,327,356,359,361,374,382,386,401,411,433,
434,525,537,554,582,706,741,752,883,900,922,924,939,963,1373],[1,2,3,6,13,16,
17,20,22,23,73,76,81,84,96,114,135,141,168,257,259,263,296,319,320,366,427,
571,581,704,715,782,879,880,1374],[1,2,3,5,8,13,20,21,24,27,29,32,45,75,76,84,
87,93,97,99,106,147,154,157,163,171,179,188,201,259,261,262,264,266,287,288,
295,299,304,315,368,379,380,399,405,428,711,735,746,750,832,847,953,955,1021,
1375],[1,2,3,5,7,8,13,16,17,20,21,26,27,28,29,32,46,73,75,76,87,104,106,115,
127,128,144,155,159,160,165,173,176,178,263,264,265,329,378,406,439,461,482,
506,548,709,748,786,884,889,1376],[1,2,3,4,7,8,13,18,19,20,24,26,28,29,32,43,
76,83,84,85,87,91,92,93,94,106,113,118,128,131,138,140,164,170,172,259,264,
266,289,300,303,307,332,350,363,369,376,377,396,399,418,520,711,732,734,736,
749,761,783,1377],[1,2,3,4,5,7,13,14,15,18,19,20,21,25,26,27,28,30,33,38,71,
75,76,78,80,83,85,88,90,91,92,94,102,107,108,113,116,119,122,123,128,131,134,
136,137,146,156,269,270,284,291,292,294,297,300,303,308,313,316,335,362,400,
404,415,417,426,730,731,753,756,776,777,795,1378],[1,2,3,4,5,7,13,14,15,18,19,
20,21,25,26,27,28,30,33,38,40,71,75,76,83,85,88,90,91,92,94,102,107,108,113,
116,119,122,123,128,131,134,136,137,145,146,156,186,187,269,284,292,297,300,
303,308,313,316,330,335,362,367,400,404,415,426,431,470,476,486,512,731,755,
756,843,948,969,997,1054,1379],[1,2,3,5,8,13,16,17,20,21,27,29,32,40,73,75,76,
87,106,115,144,145,176,263,264,265,406,431,709,930,1380],[1,2,3,5,8,13,14,15,
20,21,27,29,32,45,71,75,76,86,87,88,89,90,112,120,143,154,157,158,179,267,269,
295,301,306,310,328,331,353,356,361,374,391,708,741,772,858,859,1381],[1,2,3,
8,9,13,20,24,29,32,39,47,76,84,87,93,106,112,120,151,153,174,182,185,259,264,
266,328,399,411,526,529,550,570,579,711,790,800,931,976,1382],[1,2,3,7,8,13,
20,24,26,28,29,32,76,81,87,92,93,94,104,118,127,128,131,158,165,257,288,289,
300,301,329,333,371,379,399,444,533,707,710,804,1000,1033,1383],[1,2,3,5,8,13,
14,15,16,17,20,21,24,27,29,32,71,73,75,76,87,88,90,93,97,99,103,121,126,132,
144,163,166,171,176,177,201,261,262,263,266,269,286,287,299,302,304,309,314,
317,323,324,368,379,405,406,420,428,530,578,702,717,735,738,750,771,810,825,
826,835,873,1384],[1,2,5,6,7,8,14,15,19,20,21,22,26,28,29,33,36,72,80,82,85,
86,90,94,101,102,104,109,116,117,120,123,124,132,134,135,140,159,175,282,291,
292,293,297,298,310,311,337,349,351,370,389,425,430,460,496,730,754,764,770,
794,807,812,1385],[1,2,3,5,8,9,13,14,15,20,21,25,27,29,30,31,32,33,35,39,41,
42,44,47,71,75,76,79,87,88,90,98,108,121,123,129,132,146,147,148,150,151,152,
153,156,161,167,174,184,190,194,197,198,205,208,213,258,268,269,297,309,315,
316,327,347,359,375,382,386,400,411,426,433,434,479,524,534,587,591,595,611,
615,713,731,752,838,910,970,1009,1140,1386],[1,2,3,4,5,7,8,13,14,15,18,19,20,
21,26,27,28,29,32,37,38,43,46,69,71,72,75,76,83,85,86,87,88,89,90,91,92,94,
101,102,104,107,113,116,117,119,121,122,124,125,127,128,130,131,132,133,134,
136,137,140,142,159,160,164,165,170,172,173,175,178,255,267,269,281,283,284,
290,292,293,298,300,303,308,309,312,313,318,329,335,336,337,338,340,342,343,
349,351,362,372,384,385,387,389,392,401,404,410,413,415,416,421,429,443,453,
454,473,490,496,502,504,506,507,513,514,518,520,532,546,706,719,740,756,762,
764,768,779,878,882,894,935,936,1005,1007,1060,1181,1387],[1,2,3,4,5,6,7,13,
14,15,18,19,20,21,22,23,26,27,28,36,38,71,75,76,77,82,83,85,88,90,91,92,94,95,
96,102,107,109,111,112,113,114,116,119,120,122,128,131,134,135,136,137,149,
168,269,279,284,292,300,303,305,306,308,310,311,313,328,335,344,346,354,362,
370,381,391,397,398,404,408,415,419,423,425,427,432,756,757,763,772,796,807,
811,820,1001,1006,1023,1388],[1,2,3,5,8,13,14,15,20,21,27,29,31,32,35,71,75,
76,79,87,88,90,98,112,120,121,129,132,143,147,161,258,268,269,306,309,310,315,
328,347,356,361,374,375,391,713,741,772,888,914,1389],[1,2,3,5,9,13,14,15,20,
21,27,39,41,42,44,47,71,75,76,78,80,88,90,148,150,151,152,153,155,167,174,184,
197,269,270,291,294,327,359,365,378,382,386,395,411,417,433,434,752,774,776,
862,929,1390],[1,2,3,5,8,13,16,17,20,21,27,29,32,73,75,76,87,106,115,144,176,
195,263,264,265,406,584,709,986,1391],[1,2,3,4,5,7,13,14,15,18,19,20,21,26,27,
28,38,40,71,75,76,83,85,88,90,91,92,94,102,107,113,116,119,122,128,131,134,
136,137,143,145,269,284,292,300,303,308,313,330,335,356,361,362,367,374,404,
415,431,741,755,756,831,950,1392],[1,2,3,4,5,7,13,14,15,18,19,20,21,26,27,28,
38,71,75,76,83,85,88,90,91,92,94,102,107,112,113,116,119,120,122,128,131,134,
136,137,141,269,284,292,300,303,306,308,310,313,328,335,339,357,362,366,391,
404,415,521,522,539,551,756,772,775,829,905,985,1013,1088,1393],[1,2,3,5,7,9,
13,14,15,20,21,26,27,28,37,39,41,42,44,47,71,75,76,78,80,88,90,104,117,124,
127,128,130,133,142,148,150,151,152,153,165,167,174,175,184,197,269,270,290,
291,293,294,327,329,336,340,343,359,382,386,387,410,411,417,433,434,484,516,
517,574,752,762,776,834,853,927,945,1130,1394],[1,2,3,5,7,13,14,15,16,17,20,
21,24,26,27,28,37,71,73,75,76,88,90,93,103,104,117,124,126,127,128,130,133,
142,155,165,175,263,266,269,290,293,302,314,329,336,340,343,365,378,387,395,
410,717,762,774,889,1032,1395],[1,2,3,5,8,13,14,15,20,21,27,29,32,40,45,71,75,
76,86,87,88,89,90,141,145,154,157,158,179,267,269,295,301,330,331,339,353,357,
366,367,431,708,755,775,1039,1396],[1,2,3,5,13,20,21,24,27,75,76,81,93,115,
118,155,257,265,266,289,378,405,710,718,788,1397],[1,2,3,5,7,13,14,15,20,21,
26,27,28,37,71,75,76,84,88,90,104,115,117,124,127,128,130,133,142,155,165,175,
259,265,269,276,280,290,293,329,336,340,343,365,378,387,395,410,439,523,538,
548,698,762,774,860,870,884,1010,1139,1398],[1,2,3,5,13,14,15,16,17,20,21,24,
27,40,71,73,75,76,78,80,88,90,93,103,126,145,263,266,269,270,291,294,302,314,
330,367,417,431,717,755,776,1399],[1,2,3,5,7,13,14,15,20,21,25,26,27,28,30,33,
37,71,75,76,88,90,104,108,117,123,124,127,128,130,133,141,142,146,156,165,175,
269,290,293,297,316,329,336,339,340,343,357,366,387,400,410,426,731,762,775,
898,907,1400],[1,2,3,5,9,13,14,15,20,21,27,39,41,42,44,47,71,75,76,84,88,90,
112,115,120,148,150,151,152,153,167,174,184,197,259,265,269,276,280,306,310,
327,328,359,382,386,391,411,433,434,445,526,550,563,698,752,772,885,956,966,
976,1162,1401],[1,2,3,4,8,13,18,19,20,24,29,32,76,81,83,85,87,91,93,113,155,
158,257,273,275,288,301,303,378,379,399,464,542,699,788,804,842,867,1402],[1,
2,3,5,8,13,14,15,20,21,27,29,32,69,71,72,75,76,86,87,88,89,90,101,118,121,125,
132,138,155,255,267,269,289,298,307,309,312,318,341,365,378,395,401,403,442,
472,497,575,706,773,774,967,971,1003,1031,1048,1403],[1,2,3,5,8,13,14,15,20,
21,27,29,31,32,35,71,75,76,79,87,88,90,98,118,121,129,132,138,147,155,161,258,
268,269,289,307,309,315,341,347,365,375,378,395,403,713,773,774,890,891,
1404],[1,2,3,5,8,9,13,14,15,20,21,25,27,29,30,32,33,39,41,42,44,45,47,71,75,
76,86,87,88,89,90,108,123,146,148,150,151,152,153,154,156,157,158,167,174,179,
184,197,209,216,217,219,267,269,295,297,301,316,327,331,353,359,382,386,400,
411,426,433,434,589,590,609,612,613,616,708,731,752,849,918,1062,1105,1405],[
1,2,3,5,8,13,14,15,20,21,27,29,31,32,35,71,75,76,78,79,80,87,88,90,98,121,129,
132,141,147,161,258,268,269,270,291,294,309,315,339,347,357,366,375,417,713,
775,776,822,917,1406],[1,2,3,4,5,7,13,14,15,18,19,20,21,26,27,28,38,71,75,76,
78,80,83,85,88,90,91,92,94,102,107,113,116,119,122,128,131,134,136,137,143,
269,270,284,291,292,294,300,303,308,313,335,356,361,362,374,404,415,417,481,
485,505,541,741,756,776,864,904,906,998,1118,1407],[1,2,3,7,8,13,20,24,26,28,
29,32,76,81,87,92,93,94,104,127,128,131,155,158,165,257,288,300,301,329,333,
371,378,379,399,446,462,707,788,804,942,980,1408],[1,2,3,5,8,13,14,15,20,21,
25,27,29,30,32,33,69,71,72,75,76,86,87,88,89,90,101,108,112,120,121,123,125,
132,146,156,255,267,269,297,298,306,309,310,312,316,318,328,391,400,401,426,
706,731,754,772,778,808,813,1409],[1,2,3,5,13,14,15,16,17,20,21,24,27,71,73,
75,76,88,90,93,103,126,195,263,266,269,302,314,494,495,584,717,964,986,989,
1410],[1,2,3,8,13,20,24,29,32,76,84,87,93,106,141,259,264,266,366,399,711,782,
1411],[1,2,3,4,5,7,9,13,14,15,18,19,20,21,26,27,28,38,39,41,42,44,47,71,75,76,
83,85,88,90,91,92,94,102,107,113,116,119,122,128,131,134,136,137,141,148,150,
151,152,153,167,174,184,197,269,284,292,300,303,308,313,327,335,339,357,359,
362,366,382,386,404,411,415,433,434,492,493,547,558,752,756,775,940,941,962,
965,981,1017,1412],[1,2,3,5,8,13,14,15,20,21,27,29,32,40,71,75,76,78,80,81,87,
88,90,101,106,125,145,147,257,264,269,270,291,294,312,315,330,334,358,367,417,
431,712,755,776,874,957,1413],[1,2,3,5,13,14,15,20,21,27,40,71,75,76,88,90,
112,120,145,155,269,306,310,328,330,365,367,378,391,395,431,755,772,774,
1414],[1,2,3,13,16,17,20,73,76,81,84,141,257,259,263,296,366,715,782,1415],[1,
2,3,5,13,14,15,20,21,25,27,30,33,40,71,75,76,88,90,108,118,123,138,145,146,
156,269,289,297,307,316,330,341,367,400,403,426,431,731,755,773,1416],[1,2,3,
4,5,7,13,14,15,18,19,20,21,24,26,27,28,38,71,75,76,83,85,88,90,91,92,93,94,
102,107,113,116,119,122,128,131,134,136,137,155,269,284,288,292,299,300,303,
308,313,317,335,362,365,378,395,404,415,716,756,774,842,942,1417],[1,2,3,5,8,
13,14,15,20,21,24,27,29,32,45,71,75,76,81,87,88,90,93,101,106,115,121,125,132,
147,154,157,158,163,179,188,201,257,264,265,266,269,287,288,295,301,309,312,
315,317,334,358,368,379,380,399,405,428,450,458,712,718,765,769,784,791,804,
825,832,840,847,1418],[1,2,3,5,8,13,16,17,20,21,24,27,29,32,73,75,76,81,84,87,
93,103,115,126,144,147,158,166,176,177,257,259,263,265,266,286,288,296,301,
314,315,379,399,405,406,420,715,718,744,746,804,826,875,977,996,1419],[1,2,3,
5,7,13,20,21,24,26,27,28,75,76,81,92,93,94,104,115,127,128,131,155,165,257,
265,266,300,329,333,371,378,405,439,548,707,718,788,884,1032,1420],[1,2,3,5,7,
8,13,14,15,20,21,26,27,28,29,32,37,45,71,75,76,86,87,88,89,90,104,117,118,124,
127,128,130,133,138,142,154,157,158,165,175,179,267,269,289,290,293,295,301,
307,329,331,336,340,341,343,353,387,403,410,444,468,533,536,708,762,773,839,
857,1000,1030,1148,1421],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,69,71,72,
73,75,76,86,87,88,89,90,93,101,105,110,121,125,132,144,163,171,176,188,201,
255,267,269,285,287,296,298,302,304,309,312,317,318,368,379,380,399,401,405,
406,703,706,738,742,821,825,840,995,1026,1422],[1,2,3,5,13,14,15,20,21,27,71,
75,76,78,80,88,90,118,138,143,269,270,289,291,294,307,341,356,361,374,403,417,
741,773,776,916,1018,1423],[1,2,3,5,6,8,13,14,15,20,21,22,23,27,29,31,32,35,
36,40,71,75,76,77,79,82,87,88,90,95,96,98,109,111,114,121,129,132,135,145,147,
149,161,168,214,218,258,268,269,279,305,309,311,315,330,346,347,354,367,375,
381,423,427,431,451,471,483,573,713,755,763,876,881,899,983,1063,1424],[1,2,3,
5,6,7,13,14,15,20,21,22,23,26,27,28,36,37,71,75,76,77,82,88,90,95,96,104,109,
111,114,117,124,127,128,130,133,135,142,143,149,165,168,175,269,279,290,293,
305,311,329,336,340,343,346,354,356,361,374,381,387,410,423,427,459,478,527,
585,741,762,763,841,933,949,1002,1077,1425],[1,2,3,5,9,13,20,21,24,27,39,47,
75,76,81,93,112,115,120,151,153,174,182,185,257,265,266,328,405,411,445,543,
544,563,570,718,790,800,966,1029,1426],[1,2,3,4,5,7,13,14,15,16,17,18,19,20,
21,24,26,27,28,38,71,73,75,76,83,85,88,90,91,92,93,94,102,103,107,113,116,118,
119,122,126,128,131,134,136,137,138,263,266,269,284,289,292,300,302,303,307,
308,313,314,335,341,362,403,404,415,717,756,761,773,780,783,785,1427],[1,2,3,
5,7,13,14,15,20,21,26,27,28,37,40,71,75,76,88,90,104,112,117,120,124,127,128,
130,133,142,145,165,175,269,290,293,306,310,328,329,330,336,340,343,367,387,
391,410,431,755,762,772,848,913,1428],[1,2,3,7,8,13,20,24,26,28,29,32,46,76,
84,87,93,104,106,127,128,155,159,160,165,173,178,259,264,266,329,378,399,461,
482,506,523,538,711,748,786,1010,1032,1429],[1,2,3,5,13,14,15,20,21,27,40,71,
75,76,88,90,118,138,143,145,269,289,307,330,341,356,361,367,374,403,431,741,
755,773,1430],[1,2,3,13,16,17,20,73,76,81,84,138,155,257,259,263,296,307,378,
714,715,788,1431],[1,2,3,5,8,13,14,15,20,21,27,29,32,71,75,76,81,87,88,90,101,
106,125,138,147,155,257,264,269,307,312,315,334,358,378,497,575,712,714,788,
890,971,1432],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,81,84,
87,88,90,93,101,105,106,110,125,144,147,158,166,176,177,257,259,263,264,269,
285,288,296,301,302,312,315,322,325,334,358,379,399,405,406,420,705,712,715,
733,742,746,766,804,821,977,999,1433],[1,2,3,5,8,13,16,17,20,21,24,27,29,32,
35,45,73,75,76,87,93,99,103,105,106,110,126,129,154,157,158,161,166,171,177,
179,188,201,261,264,268,285,286,288,295,296,301,304,314,368,379,380,399,405,
420,428,441,530,577,578,744,747,771,798,832,974,999,1021,1022,1434],[1,2,3,9,
13,16,17,20,39,47,73,76,81,84,112,120,151,153,174,181,192,257,259,263,296,328,
411,526,543,544,550,572,715,743,781,976,1029,1435],[1,2,4,5,6,8,15,18,20,21,
22,26,29,33,36,69,78,82,86,90,91,92,104,109,112,117,121,123,124,125,135,136,
137,172,178,278,281,293,294,297,306,311,313,318,344,348,392,416,419,421,460,
490,753,767,778,779,794,805,811,1436],[1,2,3,8,13,14,15,16,17,20,24,29,32,71,
73,76,86,87,89,93,97,99,101,105,110,125,166,171,177,188,261,262,266,267,285,
286,288,296,302,304,312,317,379,380,399,420,428,735,742,769,799,810,995,996,
1021,1022,1437],[1,2,3,7,13,16,17,20,26,28,73,76,81,84,92,94,104,127,128,131,
155,165,257,259,263,296,300,329,333,371,378,523,538,707,715,788,889,1010,
1438],[1,2,3,5,8,13,14,15,20,21,25,27,29,30,32,33,71,75,76,81,87,88,90,101,
106,108,123,125,143,146,147,156,257,264,269,297,312,315,316,334,356,358,361,
374,400,426,712,731,741,872,908,1439],[1,2,3,5,7,9,13,14,15,20,21,26,27,28,37,
39,40,41,42,44,47,71,75,76,88,90,104,117,124,127,128,130,133,142,145,148,150,
151,152,153,165,167,174,175,184,197,207,212,269,290,293,327,329,330,336,340,
343,359,367,382,386,387,410,411,431,433,434,549,565,569,583,752,755,762,903,
973,1079,1170,1440],[1,2,3,5,13,14,15,20,21,24,25,27,30,33,71,75,76,88,90,93,
108,112,120,123,146,156,269,288,297,299,306,310,316,317,328,391,400,426,716,
731,772,1441],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,29,32,38,45,71,75,
76,83,85,86,87,88,89,90,91,92,94,102,107,113,116,119,122,128,131,134,136,137,
154,155,157,158,179,267,269,284,292,295,300,301,303,308,313,331,335,353,362,
365,378,395,404,415,446,462,464,542,708,756,774,867,895,932,938,980,1025,
1442],[1,2,3,4,5,7,13,14,15,18,19,20,21,26,27,28,38,71,75,76,83,84,85,88,90,
91,92,94,102,107,113,115,116,118,119,122,128,131,134,136,137,138,259,265,269,
276,280,284,289,292,300,303,307,308,313,335,341,345,352,362,363,377,388,390,
396,403,404,415,418,698,732,749,756,773,801,803,846,901,944,979,1443],[1,2,3,
5,6,8,13,14,15,20,21,22,23,27,29,32,36,69,71,72,75,76,77,78,80,82,86,87,88,89,
90,95,96,101,109,111,114,121,125,132,135,149,168,255,267,269,270,271,277,278,
279,282,291,294,298,305,309,311,312,318,346,348,354,360,381,393,401,417,423,
427,430,706,723,760,763,770,776,792,805,925,958,1015,1444],[1,2,3,5,7,13,14,
15,20,21,26,27,28,37,71,75,76,78,80,88,90,104,112,117,120,124,127,128,130,133,
142,165,175,269,270,290,291,293,294,306,310,328,329,336,340,343,387,391,410,
417,751,762,767,772,776,793,812,1445],[1,2,3,5,8,13,14,15,20,21,27,29,32,71,
75,76,81,87,88,90,101,106,118,125,147,155,257,264,269,289,312,315,334,358,378,
442,472,710,712,788,891,1031,1446],[1,2,3,5,13,14,15,20,21,24,27,71,75,76,78,
80,88,90,93,141,269,270,288,291,294,299,317,339,357,366,417,716,775,776,
1447],[1,2,3,5,13,14,15,20,21,27,71,75,76,78,80,88,90,112,120,155,269,270,291,
294,306,310,328,365,378,391,395,417,772,774,776,915,943,1448],[1,2,3,5,13,14,
15,16,17,20,21,24,27,71,73,75,76,88,90,93,103,126,162,169,263,266,269,302,314,
402,422,531,553,717,920,1011,1014,1449],[1,2,3,8,13,20,24,29,32,76,84,87,93,
106,162,169,259,264,266,399,553,711,1011,1450],[1,2,5,7,8,14,15,19,20,21,23,
25,26,28,29,30,72,77,78,85,86,90,94,101,102,104,108,111,112,114,116,117,124,
132,134,140,159,175,271,292,293,294,298,305,306,316,337,349,351,360,389,397,
432,496,560,757,764,767,777,792,797,808,1451],[1,2,3,5,6,8,13,16,17,20,21,22,
23,27,29,32,36,73,75,76,87,96,106,109,111,114,115,135,141,144,149,168,176,263,
264,265,366,406,423,427,437,448,455,515,709,789,802,880,987,1452],[1,2,3,5,6,
13,20,21,22,23,24,27,36,75,76,81,93,96,109,111,114,115,135,141,149,168,257,
265,266,366,405,423,427,448,455,571,581,718,789,802,879,968,1453],[1,2,3,5,8,
13,14,15,20,21,24,27,29,32,34,35,71,75,76,84,86,87,89,93,100,101,106,121,125,
129,132,139,147,158,161,171,188,201,259,260,264,266,267,268,288,301,304,309,
312,315,317,322,325,368,379,380,399,405,428,487,555,705,711,745,746,769,791,
798,840,974,991,995,1454],[1,2,3,5,6,8,13,14,15,20,21,22,23,27,29,32,36,71,75,
76,77,81,82,87,88,90,95,96,101,106,109,111,114,125,135,141,147,149,168,257,
264,269,279,305,311,312,315,334,339,346,354,357,358,366,381,423,427,437,515,
571,581,712,763,775,879,934,987,990,1134,1455],[1,2,3,5,6,9,13,14,15,20,21,22,
23,27,36,39,41,42,44,47,71,75,76,77,82,88,90,95,96,109,111,114,118,135,138,
148,149,150,151,152,153,167,168,174,184,197,269,279,289,305,307,311,327,341,
346,354,359,381,382,386,403,411,423,427,433,434,480,535,557,576,752,763,773,
837,844,926,928,1137,1456],[1,2,3,5,13,14,15,20,21,25,27,30,33,71,75,76,78,80,
88,90,108,118,123,138,146,156,269,270,289,291,294,297,307,316,341,400,403,417,
426,731,773,776,823,869,1457],[1,2,3,5,13,14,15,20,21,27,71,75,76,88,90,112,
118,120,138,141,269,289,306,307,310,328,339,341,357,366,391,403,772,773,775,
909,1016,1458],[1,2,3,5,6,8,13,14,15,20,21,22,23,27,29,32,36,45,71,75,76,77,
78,80,82,86,87,88,89,90,95,96,109,111,114,135,149,154,157,158,168,179,267,269,
270,279,291,294,295,301,305,311,331,346,348,353,354,360,381,393,417,423,427,
430,708,763,776,836,852,854,856,958,1459],[1,2,3,5,6,13,14,15,20,21,22,23,24,
27,36,40,71,75,76,77,82,88,90,93,95,96,109,111,114,135,145,149,168,269,279,
288,299,305,311,317,330,346,354,367,381,423,427,431,716,755,763,1156,1460],[1,
2,3,5,6,13,14,15,20,21,22,23,27,36,71,75,76,77,82,88,90,95,96,109,111,112,114,
118,120,135,138,149,168,269,279,289,305,306,307,310,311,328,341,346,354,381,
391,403,423,427,552,556,564,580,763,772,773,824,886,1004,1027,1087,1461],[1,2,
3,5,7,13,14,15,20,21,24,26,27,28,37,71,75,76,88,90,93,104,117,118,124,127,128,
130,133,138,142,165,175,269,288,289,290,293,299,307,317,329,336,340,341,343,
387,403,410,716,762,773,992,1033,1462],[1,2,3,5,6,13,14,15,20,21,22,23,25,27,
30,33,36,71,75,76,77,82,88,90,95,96,108,109,111,114,123,135,146,149,155,156,
168,269,279,297,305,311,316,346,354,365,378,381,395,400,423,426,427,731,763,
774,863,1012,1463],[1,2,3,5,6,13,14,15,16,17,20,21,22,23,24,27,36,71,73,75,76,
77,82,88,90,93,95,96,103,109,111,114,126,135,141,149,168,263,266,269,279,302,
305,311,314,339,346,354,357,366,381,423,427,717,763,775,880,968,1464],[1,2,3,
5,13,14,15,20,21,25,27,30,33,71,75,76,88,90,108,123,141,146,155,156,269,297,
316,339,357,365,366,378,395,400,426,731,774,775,1093,1465],[1,2,3,5,8,13,16,
17,20,21,24,27,29,32,70,73,74,75,76,87,93,103,105,106,110,115,126,144,147,158,
166,176,177,256,263,264,265,285,286,296,301,314,315,379,394,399,405,406,412,
420,463,701,709,733,739,787,826,875,977,999,1466],[1,2,3,8,13,20,24,29,32,76,
81,87,93,138,155,158,257,288,301,307,378,379,399,714,788,804,1467],[1,2,3,5,6,
13,14,15,20,21,22,23,27,36,71,75,76,77,82,88,90,95,96,109,111,114,135,143,149,
155,168,269,279,305,311,346,354,356,361,365,374,378,381,395,423,427,741,763,
774,975,978,1468],[1,2,3,5,8,13,16,17,20,21,24,27,29,31,32,45,73,75,76,79,87,
93,97,98,103,115,126,144,147,154,157,163,176,179,201,258,262,265,286,287,288,
295,296,299,314,315,323,324,368,399,405,406,428,540,586,702,744,758,759,784,
835,847,875,953,1469],[1,2,3,5,7,13,14,15,20,21,26,27,28,37,71,75,76,88,90,
104,117,124,127,128,130,133,141,142,143,165,175,269,290,293,329,336,339,340,
343,356,357,361,366,374,387,410,741,762,775,911,912,1470],[1,2,3,8,13,20,24,
29,32,76,81,87,93,118,155,158,257,288,289,301,378,379,399,710,788,804,1471],[
1,2,3,13,16,17,20,73,76,81,84,195,257,259,263,296,584,715,986,1472],[1,2,3,5,
8,13,16,17,20,21,24,27,29,31,32,35,45,73,75,76,79,87,93,98,103,106,115,126,
129,144,154,157,161,163,166,176,177,179,188,201,258,263,264,265,268,286,287,
295,299,314,368,379,380,405,406,420,428,540,586,610,618,709,758,759,809,826,
827,832,835,993,1473],[1,2,3,8,13,20,24,29,32,76,81,87,93,155,158,257,288,301,
378,379,399,788,804,1474],[1,2,4,5,8,15,18,20,21,23,25,26,29,30,69,77,80,86,
90,91,92,104,108,111,114,117,120,121,124,125,136,137,172,178,277,281,291,293,
305,310,313,316,318,392,393,398,408,416,421,490,560,760,779,795,796,797,812,
813,1475],[1,2,3,8,13,20,24,29,32,76,81,87,93,118,138,158,257,288,289,301,307,
379,399,710,714,804,1476],[1,2,5,7,8,15,20,21,23,26,28,29,33,37,46,77,81,90,
94,106,111,114,123,124,125,127,130,131,133,141,142,143,147,159,160,165,173,
290,297,305,342,357,358,371,374,410,437,459,461,475,513,519,527,568,581,737,
828,907,908,911,949,990,1477],[1,2,5,8,9,14,15,20,21,25,29,30,31,34,35,39,41,
42,72,79,81,86,88,89,90,100,101,106,108,112,121,125,129,132,143,147,150,151,
167,190,194,198,205,298,306,316,334,347,358,359,374,375,401,487,524,529,537,
543,555,582,587,808,872,900,914,946,994,1009,1478],[1,2,5,6,7,15,20,21,22,23,
28,33,37,77,82,84,90,111,114,115,123,127,130,133,143,149,155,168,280,290,297,
305,319,354,356,395,448,523,527,548,568,585,725,737,841,863,865,870,978,
1479],[1,2,4,5,6,7,8,9,14,15,18,20,21,22,23,26,28,29,37,39,43,44,49,72,77,78,
80,82,86,90,91,92,101,122,127,130,132,133,136,137,143,149,152,153,160,164,167,
168,175,189,196,199,200,271,282,290,298,313,338,348,354,356,372,385,386,393,
413,417,452,453,477,481,489,505,516,517,527,554,561,582,585,617,740,841,853,
924,925,959,998,1065,1115,1149,1152,1480],[1,2,3,7,9,13,20,26,28,39,47,76,84,
92,94,112,120,128,131,138,141,151,153,174,259,300,307,328,363,366,411,418,493,
526,539,547,550,551,732,782,909,940,976,985,1024,1481],[1,2,3,5,9,13,16,17,20,
21,24,27,39,41,42,44,47,73,75,76,93,103,126,150,152,174,181,182,184,185,192,
195,197,286,288,296,314,405,433,438,465,467,494,495,501,570,572,584,744,845,
989,1146,1147,1482],[1,2,3,5,9,13,16,17,21,24,27,39,41,42,44,47,73,75,93,97,
103,126,150,152,162,163,169,174,181,182,184,185,192,197,262,287,314,323,324,
402,422,433,438,465,467,501,531,553,570,572,601,602,605,619,702,845,920,1076,
1103,1126,1131,1185,1483],[1,2,5,8,9,15,20,21,25,29,30,31,34,35,39,41,42,69,
79,81,86,90,100,106,108,120,121,125,129,143,147,150,151,167,190,194,198,205,
310,316,318,358,359,374,375,524,525,544,554,555,579,587,726,813,872,888,902,
939,1009,1484],[1,2,3,6,8,9,13,20,22,23,29,32,39,47,76,87,96,106,112,114,118,
120,135,138,141,151,153,168,174,264,289,307,328,366,411,427,437,480,515,529,
535,556,564,579,734,824,844,931,987,1016,1024,1485],[1,2,4,5,6,7,8,9,14,15,18,
19,20,21,22,26,28,29,36,38,39,41,42,46,48,49,72,80,82,86,90,101,102,107,109,
113,119,122,124,130,131,132,134,135,136,142,143,150,151,165,167,170,172,173,
175,178,199,200,202,204,211,215,282,291,298,311,338,359,374,384,389,392,410,
415,430,440,473,478,481,489,504,509,510,511,516,518,532,537,541,559,574,582,
585,770,900,904,921,933,936,945,1050,1065,1157,1179,1486],[1,2,4,5,7,8,9,15,
18,19,20,21,23,26,28,29,31,33,35,37,38,39,40,41,42,43,46,77,79,90,107,111,113,
114,116,119,121,123,127,129,130,131,133,134,136,142,145,147,150,151,159,164,
167,170,173,180,189,193,196,203,207,208,210,212,213,272,290,297,305,355,359,
364,367,373,375,415,443,447,449,454,469,471,475,479,483,486,508,512,528,534,
549,561,562,568,569,737,877,887,910,969,973,983,1056,1078,1091,1167,1487],[1,
2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,29,32,34,35,37,38,43,46,71,75,76,83,
85,86,87,89,91,92,94,100,101,102,104,106,107,113,116,117,119,121,122,124,125,
127,128,129,130,131,132,133,134,136,137,139,140,142,147,159,160,161,164,165,
170,172,173,175,178,206,210,260,264,267,268,300,303,309,312,315,321,326,329,
332,336,337,342,349,350,351,362,364,369,372,373,376,383,384,385,387,392,404,
407,413,416,421,429,443,453,454,457,461,466,469,473,474,475,482,487,488,490,
491,496,498,500,502,503,504,506,507,513,514,518,519,520,532,545,546,555,736,
745,786,815,882,952,984,988,1005,1007,1036,1066,1071,1072,1097,1119,1138,1169,
1181,1488],[1,2,3,5,8,13,16,17,20,21,24,27,29,32,34,45,73,75,76,87,93,97,100,
105,106,110,139,144,147,154,157,158,166,171,176,177,179,188,201,260,262,264,
266,285,286,288,295,296,299,301,304,315,368,379,380,399,405,406,420,428,435,
436,604,607,728,735,791,798,827,832,868,953,955,977,991,996,999,1022,1489],[1,
2,3,5,7,8,13,20,21,24,26,27,28,29,32,37,46,75,76,84,87,92,93,94,104,117,127,
128,131,133,138,142,147,155,159,160,165,173,178,259,288,300,307,315,329,336,
363,378,379,405,418,474,475,506,519,523,538,545,732,746,890,942,952,992,1010,
1490],[1,2,5,6,8,14,15,20,21,22,29,31,34,35,36,40,72,79,80,81,82,86,88,89,90,
100,101,106,109,121,125,129,132,135,141,145,147,214,218,282,291,298,311,334,
347,357,358,367,375,401,430,451,487,515,555,571,573,770,822,871,899,934,957,
994,1491],[1,2,4,5,7,8,14,15,18,20,21,26,28,29,37,43,45,72,84,86,90,91,92,101,
115,118,122,127,130,132,133,136,137,138,155,158,160,164,175,179,280,290,298,
313,322,331,338,341,352,363,372,385,388,395,396,413,442,450,453,462,523,533,
536,542,548,575,720,740,839,846,870,967,1025,1089,1106,1110,1175,1492],[1,2,3,
5,7,8,13,16,17,20,21,26,27,28,29,32,37,46,73,75,76,87,92,94,104,105,110,117,
127,128,131,133,138,142,144,147,155,158,159,160,165,173,176,178,263,285,300,
301,307,315,329,336,378,406,446,462,468,474,475,506,519,536,545,733,780,889,
890,952,980,1030,1493],[1,2,5,7,8,9,15,19,20,21,25,26,28,29,30,31,35,37,39,41,
42,46,78,79,85,90,94,108,116,119,121,124,129,130,133,134,140,141,142,147,150,
151,160,165,167,170,173,190,194,198,205,292,294,316,355,357,359,375,410,443,
484,488,500,507,517,519,524,547,558,587,777,834,861,898,917,941,1009,1494],[1,
2,5,8,9,15,20,21,29,31,33,34,35,39,41,42,69,79,81,86,90,100,106,112,121,123,
125,129,143,147,150,151,167,208,213,297,306,318,358,359,374,375,479,525,529,
534,543,554,555,726,778,908,910,914,939,946,1495],[1,2,5,6,7,8,15,20,21,22,26,
28,29,33,36,81,82,90,92,104,106,109,117,123,124,125,130,131,135,141,142,143,
147,159,160,165,178,293,297,311,333,357,358,374,410,416,460,474,478,482,513,
515,545,571,585,794,907,908,912,933,934,947,1496],[1,2,3,5,8,13,14,15,16,17,
20,21,24,27,29,32,71,73,75,76,86,87,89,93,97,99,101,103,105,110,121,125,126,
132,144,166,171,176,177,188,201,261,262,263,267,285,286,288,299,302,304,309,
312,314,317,368,379,380,399,405,406,420,428,435,436,530,578,728,766,771,787,
799,810,826,827,840,873,953,995,1021,1022,1026,1497],[1,2,4,5,6,7,8,9,15,18,
19,20,21,22,26,28,29,36,38,39,41,42,43,48,49,81,82,85,90,94,106,107,109,113,
116,119,120,125,127,131,134,135,136,140,141,147,150,151,164,165,167,170,199,
200,202,204,211,215,275,292,310,311,332,357,358,359,369,370,371,415,425,429,
440,469,489,500,509,510,511,515,522,544,546,547,551,558,559,571,579,807,897,
902,905,921,934,941,1085,1171,1178,1184,1498],[1,2,4,5,7,8,14,15,18,19,20,21,
26,28,29,31,34,35,37,38,43,46,72,79,81,85,86,88,89,90,92,94,100,101,102,104,
106,107,113,116,117,119,121,122,124,125,127,129,130,131,132,133,134,136,137,
140,142,147,159,160,164,165,170,172,173,175,178,274,275,284,292,293,298,321,
332,333,334,335,337,338,340,343,347,349,351,355,358,369,371,373,375,376,383,
384,389,392,401,407,409,410,413,415,416,429,443,453,461,466,469,473,474,475,
482,487,488,490,491,496,498,500,502,503,504,507,513,514,518,519,532,545,546,
555,764,861,866,878,897,936,947,954,972,994,1036,1038,1060,1071,1072,1097,
1099,1119,1499],[1,2,4,5,6,7,8,15,18,20,21,22,26,28,29,31,35,36,38,40,43,79,
82,90,91,92,107,109,112,117,121,124,129,130,135,136,137,142,143,145,147,159,
164,165,172,178,214,218,306,311,313,344,367,374,375,409,410,419,451,454,457,
474,478,490,498,573,585,811,848,850,899,914,933,950,1500],[1,2,3,5,7,8,13,20,
21,24,26,27,28,29,32,37,46,75,76,87,92,93,94,104,117,118,127,128,131,133,142,
147,155,158,159,160,165,173,178,188,201,266,289,300,301,315,329,336,368,378,
380,444,446,462,474,475,506,519,533,545,783,791,891,952,980,1000,1032,1501],[
1,2,3,5,8,13,16,17,20,21,24,27,29,32,35,45,73,75,76,87,93,99,103,115,126,129,
144,147,154,157,158,161,163,166,171,176,177,179,188,201,261,265,266,268,286,
287,288,295,296,299,301,304,314,315,368,379,380,399,405,406,420,428,530,578,
610,618,750,771,784,791,809,827,835,847,875,955,974,977,993,996,1021,1502],[1,
2,5,7,8,9,15,20,21,26,28,29,37,39,40,41,42,46,78,81,90,94,106,120,124,125,127,
130,131,133,142,145,147,150,151,159,160,165,167,173,207,212,290,294,310,342,
358,359,367,371,410,461,475,484,513,517,519,544,549,569,579,793,828,834,874,
902,913,973,1503],[1,2,3,5,6,13,20,21,22,23,24,27,31,36,40,75,76,79,93,96,98,
109,111,114,115,135,145,149,163,168,218,258,265,287,299,405,423,427,431,448,
455,483,573,759,789,876,930,1156,1504],[1,2,4,5,8,15,18,20,21,26,29,45,69,84,
86,90,91,92,104,115,117,118,121,124,125,136,137,138,155,158,172,178,179,280,
281,293,313,318,325,331,341,352,363,388,392,395,396,416,421,439,444,458,462,
468,472,490,497,538,542,724,779,846,857,860,1003,1025,1061,1074,1081,1163,
1505],[1,2,5,7,8,9,15,20,21,23,28,29,33,37,39,44,45,77,78,80,86,90,111,114,
118,123,127,130,133,138,152,153,158,167,179,209,216,290,297,305,331,341,360,
386,393,417,516,517,533,535,536,568,576,609,737,839,853,856,869,918,926,
1506],[1,2,5,6,7,8,9,15,19,20,21,22,23,28,29,37,39,44,46,48,69,77,78,80,82,85,
86,90,94,116,121,125,127,130,133,134,143,149,152,153,167,168,170,173,193,202,
203,204,277,278,283,290,292,318,342,354,356,360,384,386,417,429,430,443,449,
485,499,509,516,517,525,527,537,541,567,585,614,768,841,853,906,960,963,1015,
1116,1122,1177,1179,1507],[1,2,4,5,7,8,9,15,18,19,20,21,23,25,26,28,29,30,31,
35,38,39,40,41,42,77,79,90,104,107,108,111,113,114,117,119,121,124,129,131,
134,136,137,140,142,145,147,150,151,160,167,172,178,186,187,189,190,193,194,
196,198,203,205,274,293,305,316,359,367,375,383,407,409,415,447,449,470,471,
476,483,490,491,507,508,524,528,545,560,561,562,565,583,587,797,887,903,972,
983,997,1009,1094,1125,1153,1180,1508],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,
31,35,38,79,80,90,104,107,113,117,119,120,121,124,129,131,134,136,137,140,141,
142,143,147,160,172,178,274,291,293,310,357,374,375,383,407,409,415,481,490,
491,507,522,541,545,551,812,822,888,904,905,912,972,1509],[1,2,3,8,9,13,20,24,
29,32,39,47,76,87,93,97,151,153,162,169,171,174,182,185,262,266,304,379,411,
428,553,570,594,599,602,605,735,800,1011,1103,1142,1510],[1,2,4,5,7,8,15,18,
20,21,23,26,28,29,31,35,38,40,43,77,79,90,91,92,107,111,114,117,120,121,124,
129,130,136,137,142,143,145,147,159,164,165,172,178,305,310,313,367,374,375,
398,408,409,410,454,457,459,471,474,483,490,498,527,796,850,888,913,949,950,
983,1511],[1,2,3,5,7,8,13,20,21,24,26,27,28,29,32,37,46,75,76,87,92,93,94,104,
115,117,118,127,128,131,133,142,147,155,159,160,163,165,173,178,201,265,287,
288,289,300,315,329,336,352,368,378,390,439,474,475,506,519,545,548,784,803,
884,891,942,952,1033,1512],[1,2,5,7,8,9,15,20,21,26,28,29,37,39,40,41,42,46,
80,81,90,94,106,112,124,125,127,130,131,133,142,145,147,150,151,159,160,165,
167,173,207,212,290,291,306,342,358,359,367,371,410,461,475,513,516,519,529,
543,549,569,574,751,828,848,945,946,957,973,1513],[1,2,5,8,9,14,15,20,21,29,
31,33,34,35,39,41,42,72,79,81,86,88,89,90,100,101,106,120,121,123,125,129,132,
143,147,150,151,167,208,213,297,298,310,334,347,358,359,374,375,401,479,487,
534,537,544,555,579,582,754,888,900,902,908,910,994,1514],[1,2,4,5,6,7,8,9,15,
18,19,20,21,22,26,28,29,36,38,39,41,42,43,48,49,69,78,82,86,90,107,109,113,
119,121,124,125,130,131,134,135,136,140,142,143,150,151,159,160,164,165,167,
199,200,202,204,211,215,278,281,283,294,311,318,348,351,359,372,374,410,415,
440,454,478,484,485,489,505,507,509,510,511,513,517,525,546,554,559,585,805,
834,864,921,933,935,939,1043,1149,1160,1177,1515],[1,2,5,7,8,9,15,19,20,21,26,
28,29,31,33,35,37,39,41,42,46,79,80,85,90,94,116,119,121,123,124,129,130,133,
134,140,141,142,147,150,151,160,165,167,170,173,208,213,291,292,297,355,357,
359,375,410,443,479,488,500,507,516,519,534,547,558,574,730,822,861,907,910,
941,945,1516],[1,2,5,6,8,15,20,21,22,29,31,34,35,36,40,69,78,79,81,82,86,90,
100,106,109,121,125,129,135,141,145,147,214,218,278,294,311,318,348,357,358,
367,375,451,515,555,571,573,726,805,874,899,917,934,951,1517],[1,2,3,5,8,9,13,
16,17,21,24,27,29,32,39,41,42,44,47,73,75,87,93,99,103,126,150,152,162,166,
169,171,174,177,181,182,184,185,192,197,201,261,304,314,368,402,420,422,433,
438,465,467,501,530,531,553,570,572,578,594,598,599,603,771,845,920,1098,1100,
1142,1164,1186,1518],[1,2,3,5,8,13,14,15,16,17,21,24,27,29,32,71,73,75,87,93,
121,132,143,144,163,171,176,195,287,302,304,309,361,406,584,738,923,964,
1519],[1,2,5,6,8,14,15,20,21,22,23,25,29,30,72,77,78,80,82,86,90,101,108,112,
118,132,138,149,155,168,271,282,298,306,316,341,348,354,393,395,417,442,564,
575,580,808,823,915,925,967,1004,1012,1520],[1,2,5,6,7,8,9,15,19,20,21,22,23,
25,28,29,30,39,44,45,48,77,78,82,85,86,90,94,108,116,134,149,152,153,155,158,
167,168,179,193,202,203,204,217,219,292,294,316,331,348,354,360,386,395,446,
449,464,499,509,567,612,614,777,849,854,862,895,960,1012,1521],[1,2,3,6,9,13,
20,22,23,39,47,76,81,96,112,114,118,120,135,141,151,153,168,174,257,289,328,
366,411,427,480,535,543,544,552,571,580,581,710,844,879,886,1016,1019,1029,
1522],[1,2,5,7,9,15,20,21,28,37,39,44,78,80,84,90,115,120,127,130,133,152,153,
155,167,280,290,294,310,386,395,417,445,516,517,523,548,550,722,793,853,862,
870,885,943,1523],[1,2,3,8,9,13,14,15,16,17,20,24,29,32,39,47,71,73,76,87,93,
101,105,110,125,148,167,174,181,182,185,192,195,285,296,302,312,379,382,570,
572,584,588,593,742,855,964,1090,1146,1524],[1,2,5,8,14,15,20,21,23,29,31,34,
35,40,72,77,78,79,81,86,88,89,90,100,101,106,111,114,121,125,129,132,141,145,
147,271,294,298,305,334,347,357,358,360,367,375,401,437,471,483,487,555,581,
792,871,874,917,983,990,994,1525],[1,2,4,5,7,8,9,15,18,20,21,25,26,28,29,30,
31,35,38,39,41,42,43,79,80,90,91,92,107,108,117,121,124,129,130,136,137,141,
142,147,150,151,159,164,165,167,172,178,190,194,198,205,291,313,316,357,359,
375,409,410,454,457,474,490,492,493,498,516,524,574,587,795,822,850,898,945,
965,1009,1526],[1,2,5,7,8,9,15,19,20,21,28,29,37,39,40,41,42,46,69,85,86,90,
94,116,121,125,127,130,133,134,141,143,145,150,151,167,170,173,207,212,283,
290,292,318,342,357,359,367,374,384,429,443,525,547,549,554,558,569,768,831,
911,939,941,951,973,1527],[1,2,3,5,6,8,13,20,21,22,23,24,27,29,32,35,36,40,75,
76,87,93,96,109,111,114,115,129,135,145,149,161,168,201,214,265,268,299,368,
379,423,427,431,448,451,455,471,789,809,881,930,1156,1528],[1,2,3,4,5,7,8,13,
18,19,20,21,24,26,27,28,29,32,38,43,75,76,83,85,87,91,93,104,107,113,115,116,
119,127,128,137,138,140,147,155,163,164,165,170,172,201,265,287,288,303,307,
315,329,345,362,368,378,388,439,457,469,491,500,520,548,784,801,842,884,890,
984,992,1529],[1,2,3,5,8,13,20,21,24,27,29,32,35,40,75,76,87,93,115,129,141,
145,161,201,265,268,299,366,368,379,431,802,809,930,1530],[1,2,4,5,7,8,15,18,
19,20,21,26,28,29,33,38,40,43,80,81,85,90,94,106,107,113,116,119,123,125,127,
131,134,136,140,143,145,147,164,165,170,275,291,292,297,332,358,367,369,371,
374,415,429,469,481,486,500,512,541,546,730,831,897,904,908,957,969,1531],[1,
2,4,5,7,8,9,15,18,19,20,21,23,26,28,29,38,39,41,42,43,77,81,90,91,92,104,106,
107,111,113,114,119,120,125,131,134,136,137,140,141,147,150,151,164,165,167,
172,189,193,196,203,273,305,310,313,333,350,357,358,359,376,398,408,415,421,
437,447,449,457,491,492,493,508,522,528,544,546,551,561,562,579,581,796,887,
893,902,905,965,990,1067,1101,1108,1135,1532],[1,2,4,5,7,8,9,15,18,19,20,21,
23,26,28,29,38,39,41,42,43,69,77,80,86,90,107,111,113,114,119,121,124,125,130,
131,134,136,140,142,143,150,151,159,160,164,165,167,189,193,196,203,277,281,
283,291,305,318,351,359,372,374,393,410,415,447,449,454,459,481,507,508,513,
516,525,527,528,541,546,554,561,562,574,760,887,904,935,939,945,949,1080,1104,
1116,1152,1533],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,34,35,45,71,73,75,
76,86,87,88,89,90,93,100,101,105,106,110,121,125,129,132,139,144,147,154,157,
158,161,163,166,171,176,177,179,188,201,260,264,267,268,269,285,287,295,296,
301,302,304,309,312,315,317,331,353,368,379,380,399,405,406,420,428,487,555,
604,607,610,618,708,745,799,821,825,832,847,868,974,977,991,993,995,999,1026,
1534],[1,2,5,8,9,15,20,21,23,25,26,29,30,39,44,45,77,78,80,86,90,104,108,111,
114,117,118,124,138,152,153,158,167,179,217,219,293,305,316,331,341,360,386,
393,417,444,468,484,535,560,574,576,612,797,823,849,856,857,926,927,1535],[1,
2,3,9,13,14,15,16,17,24,39,47,69,71,72,73,93,143,148,167,174,181,182,185,192,
255,302,317,361,382,525,570,572,582,703,855,922,923,1155,1536],[1,2,5,7,9,15,
20,21,28,37,39,44,78,80,84,90,112,115,127,130,133,152,153,155,167,280,290,291,
306,386,395,417,516,517,523,526,548,563,721,751,853,870,915,929,956,1537],[1,
2,5,8,9,15,20,21,29,33,39,44,45,69,84,86,90,112,115,121,123,125,143,152,153,
158,167,179,209,216,280,297,306,318,325,331,356,386,458,525,526,537,563,609,
724,778,859,865,918,956,963,1538],[1,2,3,9,13,14,15,16,17,24,39,47,71,73,93,
97,99,148,162,167,169,174,181,182,185,192,261,262,286,302,317,382,553,570,572,
598,602,603,605,810,855,1014,1100,1103,1539],[1,2,5,8,15,20,21,23,29,31,34,35,
40,69,77,79,80,81,86,90,100,106,111,114,121,125,129,141,145,147,277,291,305,
318,357,358,367,375,393,437,471,483,555,581,726,760,822,951,957,983,990,
1540],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,33,38,40,43,78,81,90,91,92,104,106,
107,113,119,123,125,131,134,136,137,140,143,145,147,164,165,172,273,294,297,
313,333,350,358,367,374,376,415,421,457,485,486,491,505,512,546,753,864,874,
893,908,950,969,1541],[1,2,4,5,7,8,14,15,18,19,20,21,26,28,29,33,38,40,46,72,
86,90,101,102,107,113,119,120,122,123,124,130,131,132,134,136,141,142,145,165,
170,172,173,175,178,297,298,310,338,357,367,384,389,392,410,415,473,486,504,
512,518,522,532,551,754,871,905,907,913,936,969,1542],[1,2,5,7,8,9,15,20,21,
26,28,29,39,40,41,42,78,81,90,92,104,106,112,117,124,125,130,131,142,145,147,
150,151,159,160,165,167,178,293,294,306,333,358,359,367,410,416,474,482,484,
513,517,529,543,545,565,583,767,834,848,874,903,946,947,1543],[1,2,3,4,5,6,9,
13,18,19,20,21,22,23,27,36,39,47,49,75,76,83,85,91,96,109,111,112,113,114,115,
120,135,138,149,151,153,168,174,196,200,203,204,265,303,307,328,344,345,370,
388,397,408,411,423,427,445,448,452,455,556,557,559,562,563,564,567,576,592,
789,801,824,837,966,982,1023,1058,1124,1129,1165,1544],[1,2,3,4,5,7,8,13,18,
19,20,21,24,26,27,28,29,32,38,43,75,76,83,84,85,87,91,93,104,107,113,116,118,
119,127,128,137,140,147,155,164,165,170,172,259,288,289,303,315,329,362,377,
378,379,396,405,457,469,491,500,520,523,538,746,749,842,891,984,1010,1033,
1545],[1,2,3,5,6,7,9,13,20,21,22,23,26,27,28,36,39,47,48,75,76,92,94,96,109,
111,112,114,115,118,120,128,131,135,149,151,153,168,174,189,193,199,202,265,
289,300,328,352,390,398,411,419,423,425,427,432,445,447,448,455,477,480,499,
511,535,552,563,580,596,789,803,830,844,886,966,1006,1040,1084,1086,1120,
1546],[1,2,4,5,7,8,9,14,15,18,19,20,21,23,26,28,29,38,39,41,42,46,72,77,78,86,
90,101,102,107,111,113,114,119,122,124,130,131,132,134,136,142,143,150,151,
165,167,170,172,173,175,178,189,193,196,203,271,294,298,305,338,359,360,374,
384,389,392,410,415,447,449,459,473,484,485,504,505,508,517,518,527,528,532,
537,561,562,582,792,834,864,887,900,936,949,1092,1115,1122,1174,1547],[1,2,4,
5,6,7,8,9,15,18,19,20,21,22,25,26,28,29,30,31,35,36,37,38,39,40,41,42,43,46,
48,49,79,82,90,107,108,109,113,116,119,121,127,129,130,131,133,134,135,136,
142,145,147,150,151,159,164,167,170,173,180,183,186,187,190,191,194,198,199,
200,202,204,205,207,210,211,212,214,215,218,272,290,311,316,355,359,364,367,
373,375,415,440,443,451,454,469,470,475,476,489,509,510,511,524,549,559,566,
569,573,587,620,621,622,623,806,877,899,921,973,997,1009,1083,1141,1144,1145,
1548],[1,2,5,6,7,8,15,20,21,22,23,28,29,37,45,77,80,82,86,90,112,118,127,130,
133,138,143,149,158,168,179,290,291,306,331,341,354,356,393,430,527,533,536,
564,580,585,751,836,839,841,859,1004,1018,1549],[1,2,3,9,13,14,15,16,17,24,39,
47,70,71,73,74,93,148,167,174,181,182,185,192,195,256,286,302,382,570,572,584,
600,606,700,855,964,1143,1147,1550],[1,2,4,5,7,8,15,18,19,20,21,25,26,28,29,
30,38,40,43,69,86,90,107,108,113,119,120,121,124,125,130,131,134,136,140,141,
142,145,159,160,164,165,186,187,281,283,310,316,318,351,357,367,372,410,415,
454,470,476,507,513,522,546,551,813,898,905,913,935,951,997,1551],[1,2,3,5,13,
20,21,24,27,31,40,75,76,79,93,98,115,141,145,163,258,265,287,299,366,405,431,
759,802,930,1552],[1,2,3,4,5,7,8,13,16,17,18,19,20,21,26,27,28,29,32,38,43,73,
75,76,83,85,87,91,104,105,107,110,113,116,118,119,127,128,137,140,144,147,155,
158,164,165,170,172,176,263,285,289,301,303,315,329,362,378,406,444,457,464,
469,491,500,520,533,542,733,785,867,889,891,984,1000,1553],[1,2,4,5,7,8,9,15,
18,20,21,26,28,29,31,33,35,38,39,41,42,43,78,79,90,91,92,107,117,121,123,124,
129,130,136,137,141,142,147,150,151,159,164,165,167,172,178,208,213,294,297,
313,357,359,375,409,410,454,457,474,479,484,490,492,493,498,517,534,753,834,
850,907,910,917,965,1554],[1,2,3,5,8,13,16,17,21,24,25,27,29,30,32,33,73,75,
87,93,99,103,108,123,126,146,156,166,171,177,195,201,261,304,314,368,400,414,
420,424,456,494,495,530,578,584,771,851,989,1057,1166,1555],[1,2,3,5,8,9,13,
16,17,21,24,27,29,32,39,41,42,44,47,70,73,74,75,87,93,103,105,110,126,144,150,
152,166,174,176,177,181,182,184,185,192,195,197,256,285,314,394,406,412,420,
433,438,463,465,467,494,495,501,570,572,584,588,593,600,606,739,845,989,1090,
1114,1128,1143,1159,1161,1556],[1,2,4,5,6,7,8,9,15,18,19,20,21,22,26,28,29,36,
38,39,41,42,43,48,49,81,82,90,91,92,104,106,107,109,112,113,119,125,131,134,
135,136,137,140,141,147,150,151,164,165,167,172,199,200,202,204,211,215,273,
306,311,313,333,344,350,357,358,359,376,415,419,421,440,457,489,491,492,493,
509,510,511,515,521,529,539,543,546,559,571,811,893,921,934,946,965,1013,1082,
1123,1176,1182,1557],[1,2,3,5,8,13,16,17,21,24,27,29,32,35,45,73,75,87,93,103,
105,110,126,129,154,157,161,162,169,179,188,195,268,285,295,314,380,402,422,
441,494,495,531,553,577,584,747,920,989,1150,1151,1558],[1,2,4,5,7,8,9,14,15,
18,20,21,26,28,29,37,39,40,41,42,43,72,86,90,91,92,101,122,127,130,132,133,
136,137,141,143,145,150,151,160,164,167,175,207,212,290,298,313,338,357,359,
367,372,374,385,413,453,492,493,537,549,569,582,740,871,900,911,950,965,973,
1559],[1,2,4,5,6,8,9,15,18,20,21,22,23,25,26,29,30,39,44,45,49,77,80,82,86,90,
91,92,108,136,137,149,152,153,155,158,167,168,179,189,196,199,200,217,219,291,
313,316,331,354,386,393,395,430,452,462,477,489,542,561,612,617,795,836,849,
929,959,1012,1025,1560],[1,2,4,5,7,8,9,15,18,19,20,21,23,26,28,29,38,39,41,42,
43,77,81,85,90,94,106,107,111,112,113,114,116,119,125,127,131,134,136,140,141,
147,150,151,164,165,167,170,189,193,196,203,275,292,305,306,332,357,358,359,
369,371,397,415,429,432,437,447,449,469,500,508,521,528,529,539,543,546,547,
558,561,562,581,757,887,897,941,946,990,1013,1035,1111,1117,1183,1561],[1,2,4,
5,15,18,20,21,26,33,78,80,84,90,91,92,115,118,123,136,137,138,143,280,294,297,
313,341,352,356,363,388,396,417,481,505,722,753,846,865,869,916,998,1562],[1,
2,4,5,7,8,15,18,19,20,21,26,28,29,31,35,38,78,79,90,104,107,112,113,117,119,
121,124,129,131,134,136,137,140,141,142,143,147,160,172,178,274,293,294,306,
357,374,375,383,407,409,415,485,490,491,505,507,521,539,545,767,864,912,914,
917,972,1013,1563],[1,2,3,5,13,16,17,20,21,24,25,27,30,33,73,75,76,93,103,108,
123,126,146,156,162,169,286,288,296,314,400,402,405,414,422,424,456,531,553,
744,851,920,1564],[1,2,4,5,7,8,14,15,18,19,20,21,25,26,28,29,30,38,40,46,72,
86,90,101,102,107,108,112,113,119,122,124,130,131,132,134,136,141,142,145,165,
170,172,173,175,178,186,187,298,306,316,338,357,367,384,389,392,410,415,470,
473,476,504,518,521,532,539,808,848,871,898,936,997,1013,1565],[1,2,4,5,7,8,
15,18,19,20,21,25,26,28,29,30,38,40,43,78,81,85,90,94,106,107,108,113,116,119,
125,127,131,134,136,140,143,145,147,164,165,170,186,187,275,292,294,316,332,
358,367,369,371,374,415,429,469,470,476,485,500,505,546,777,831,864,872,874,
897,997,1566],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,87,88,
90,93,97,99,101,103,121,125,126,132,144,163,166,176,177,188,201,261,262,266,
269,286,287,288,296,299,302,309,312,314,317,368,379,380,399,405,406,420,428,
716,744,750,769,810,821,825,827,835,840,873,953,996,1021,1567],[1,2,4,5,7,8,
14,15,18,19,20,21,26,28,29,31,34,35,37,38,43,46,72,79,81,86,88,89,90,91,92,94,
100,101,102,104,106,107,113,116,117,119,121,122,124,125,127,129,130,131,132,
133,134,136,137,140,142,147,159,160,164,165,170,172,173,175,178,180,206,210,
272,273,290,298,308,313,326,332,333,334,335,338,340,342,343,347,349,350,355,
358,364,371,372,373,375,376,384,385,389,392,401,407,409,410,413,415,421,443,
453,454,457,461,466,469,473,474,475,482,487,488,490,491,496,498,502,503,504,
513,514,518,519,532,545,546,555,740,828,833,850,877,892,893,894,936,994,1038,
1060,1066,1072,1099,1119,1138,1169,1568],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,
33,38,40,43,69,86,90,107,112,113,119,121,123,124,125,130,131,134,136,140,141,
142,145,159,160,164,165,281,283,297,306,318,351,357,367,372,410,415,454,486,
507,512,513,521,539,546,778,848,907,935,951,969,1013,1569],[1,2,4,5,7,8,15,18,
19,20,21,26,28,29,31,35,37,38,43,46,79,80,90,107,112,113,116,119,121,127,129,
130,131,133,134,136,141,142,143,147,159,164,170,173,180,210,272,290,291,306,
355,357,364,373,374,375,415,443,454,469,475,481,521,539,541,751,822,877,904,
911,914,1013,1570],[1,2,4,5,7,8,15,18,19,20,21,26,28,29,31,35,37,38,43,46,78,
79,90,107,113,116,119,120,121,127,129,130,131,133,134,136,141,142,143,147,159,
164,170,173,180,210,272,290,294,310,355,357,364,373,374,375,415,443,454,469,
475,485,505,522,551,793,864,877,888,905,911,917,1571],[1,2,5,6,15,20,21,22,23,
26,33,36,77,82,84,90,104,109,115,117,123,124,135,143,149,155,168,280,293,297,
311,320,354,356,395,439,455,459,460,478,538,727,794,860,863,865,975,1002,
1572],[1,2,3,7,8,13,14,15,16,17,20,24,26,28,29,32,46,71,73,76,87,92,93,94,101,
104,124,125,127,128,130,131,138,155,159,160,165,166,173,175,177,178,263,288,
300,302,307,312,329,342,349,378,387,413,416,420,497,504,506,513,575,766,780,
889,942,971,992,1005,1573],[1,2,5,7,15,19,20,21,25,28,30,78,80,84,85,90,94,
108,115,116,118,134,138,143,280,292,294,316,341,345,356,377,390,417,418,485,
541,722,777,823,896,901,906,916,1574],[1,2,5,8,9,14,15,20,21,25,29,30,39,44,
45,72,84,86,90,101,108,112,115,132,143,152,153,158,167,179,217,219,280,298,
306,316,322,331,356,386,450,526,554,563,582,612,720,808,849,859,896,924,956,
1575],[1,2,5,6,8,14,15,20,21,22,23,29,33,72,77,78,80,82,86,90,101,118,120,123,
132,138,149,155,168,271,282,297,298,310,341,348,354,393,395,417,442,552,556,
575,754,863,869,925,943,967,1027,1576],[1,2,4,5,7,8,15,18,19,20,21,25,26,28,
29,30,38,40,43,80,81,90,91,92,104,106,107,108,113,119,125,131,134,136,137,140,
143,145,147,164,165,172,186,187,273,291,313,316,333,350,358,367,374,376,415,
421,457,470,476,481,491,541,546,795,872,893,904,950,957,997,1577],[1,2,3,5,13,
16,17,21,24,25,27,30,33,73,75,93,97,103,108,123,126,146,156,163,195,262,287,
314,323,324,400,414,424,456,494,495,584,702,851,989,1059,1172,1578],[1,2,3,5,
8,13,16,17,21,24,25,27,29,30,32,33,70,73,74,75,87,93,103,105,108,110,123,126,
144,146,156,162,166,169,176,177,256,285,314,394,400,402,406,412,414,420,422,
424,456,463,531,553,739,851,920,937,1008,1020,1028,1579],[1,2,5,6,8,9,14,15,
20,21,22,29,36,39,44,72,80,82,86,90,101,109,118,132,135,138,143,152,153,155,
167,282,291,298,311,341,356,386,395,430,442,480,554,557,575,582,770,924,928,
929,967,975,1018,1580],[1,2,5,8,9,14,15,20,21,29,33,39,44,45,72,84,86,90,101,
115,120,123,132,143,152,153,158,167,179,209,216,280,297,298,310,322,331,356,
386,445,450,550,554,582,609,720,754,858,865,885,918,924,1581],[1,2,5,6,7,8,9,
15,19,20,21,22,23,28,29,33,39,44,45,48,77,80,82,85,86,90,94,116,123,134,149,
152,153,155,158,167,168,179,193,202,203,204,209,216,291,292,297,331,354,386,
393,395,430,446,449,464,499,509,567,609,614,730,836,863,895,918,929,960,
1582],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,34,35,45,71,73,75,76,86,87,
89,93,100,101,103,105,106,110,115,121,125,126,129,132,139,144,147,154,157,158,
161,166,171,176,177,179,188,201,260,264,265,267,268,285,295,296,299,301,302,
304,309,312,314,315,317,368,379,380,399,405,406,420,428,441,450,458,487,555,
577,604,607,742,745,747,765,809,832,840,868,873,875,955,991,995,999,1026,
1583],[1,2,4,5,15,18,20,21,25,26,30,78,80,84,90,91,92,108,115,118,136,137,138,
143,280,291,313,316,341,352,356,363,388,396,417,481,505,721,795,823,846,896,
998,1018,1584],[1,2,3,4,5,9,13,18,19,20,21,27,39,47,75,76,83,85,91,112,113,
115,120,138,141,151,153,174,265,303,307,328,345,366,388,411,445,492,521,522,
558,563,801,802,829,909,966,1017,1024,1585],[1,2,5,6,8,15,20,21,22,23,25,29,
30,69,77,78,80,82,86,90,108,118,120,121,125,138,149,155,168,277,278,310,316,
318,341,354,360,395,417,430,472,497,552,556,813,823,943,1003,1012,1015,1027,
1586],[1,2,5,8,9,15,20,21,25,29,30,39,44,45,69,84,86,90,108,115,120,121,125,
143,152,153,158,167,179,217,219,280,310,316,318,325,331,356,386,445,458,525,
537,550,612,724,813,849,858,885,896,963,1587],[1,2,3,7,8,13,20,24,26,28,29,32,
46,76,87,93,104,106,118,127,128,138,158,159,160,165,171,173,178,188,264,288,
289,301,304,307,329,380,444,461,468,482,506,533,536,734,786,798,992,1000,1030,
1033,1588],[1,2,3,5,9,13,20,21,24,27,39,47,75,76,93,99,151,153,162,163,169,
174,182,185,261,266,287,299,405,411,553,570,598,601,603,619,750,800,1011,1076,
1100,1589],[1,2,3,5,13,20,21,24,27,75,76,93,99,112,120,162,163,169,261,266,
287,299,328,405,553,750,790,1011,1590],[1,2,3,4,6,13,16,17,18,19,20,22,23,73,
76,83,85,91,96,112,113,114,118,120,135,141,168,263,289,303,328,344,366,370,
397,408,427,521,522,552,580,743,785,829,880,886,1016,1023,1591],[1,2,3,5,7,8,
13,14,15,20,21,26,27,28,29,32,45,46,71,75,76,87,92,94,101,104,115,118,121,124,
125,127,128,130,131,132,154,155,157,158,159,160,165,173,175,178,179,265,289,
295,300,301,309,312,329,342,349,352,378,387,390,413,416,439,442,444,446,450,
458,462,472,504,506,513,533,548,765,803,884,980,1000,1005,1031,1046,1081,1110,
1168,1592],[1,2,3,5,8,9,13,16,17,21,24,25,27,29,30,32,33,35,39,41,42,44,45,47,
73,75,87,93,103,105,108,110,123,126,129,146,150,152,154,156,157,161,174,179,
181,182,184,185,188,190,192,197,198,208,209,216,217,219,268,285,295,314,380,
400,414,424,433,438,441,456,465,467,479,501,524,570,572,577,589,590,595,609,
611,612,613,616,747,845,851,970,1041,1045,1062,1188,1593],[1,2,3,5,8,13,16,17,
20,21,24,27,29,32,34,35,45,73,75,76,87,93,100,103,105,110,126,129,139,144,147,
154,157,158,161,163,166,171,176,177,179,188,201,260,263,268,285,286,287,295,
299,301,304,314,315,368,379,380,399,405,406,420,428,441,577,604,607,610,618,
733,747,787,826,827,835,847,868,955,974,991,993,1022,1594],[1,2,3,5,8,9,13,14,
15,16,17,21,24,27,29,32,39,47,71,73,75,87,93,121,132,144,148,162,163,167,169,
171,174,176,181,182,185,192,287,302,304,309,382,406,553,570,572,594,599,601,
619,738,855,1014,1076,1142,1595],[1,2,3,9,13,16,17,20,39,47,70,73,74,76,151,
153,174,181,192,195,256,263,296,411,572,584,600,606,701,781,986,1143,1146,
1596],[1,2,3,8,9,13,16,17,20,24,29,32,39,47,73,76,87,93,105,110,151,153,166,
174,177,181,192,195,263,285,286,399,411,420,572,584,588,593,781,787,986,1090,
1147,1597],[1,2,5,6,8,15,20,21,22,23,26,29,45,77,80,82,86,90,104,117,118,120,
124,138,143,149,158,168,179,291,293,310,331,341,354,356,393,430,444,459,468,
478,552,556,812,836,857,858,1002,1018,1027,1598],[1,2,5,6,7,8,15,19,20,21,22,
26,28,29,31,35,36,37,40,46,79,82,85,90,94,109,116,119,120,121,124,129,130,133,
134,135,140,142,143,145,147,160,165,170,173,214,218,292,310,311,355,367,370,
374,375,410,425,443,451,478,488,500,507,519,573,585,807,831,861,888,899,913,
933,1599],[1,2,3,4,9,13,18,19,20,39,47,76,83,84,85,91,112,113,118,120,141,151,
153,174,259,289,303,328,366,377,396,411,492,521,522,526,550,558,749,782,829,
976,1016,1017,1019,1600],[1,2,3,6,8,9,13,20,22,23,29,32,39,47,76,87,96,106,
112,114,118,120,135,138,141,151,153,168,174,264,289,307,328,366,411,427,437,
515,529,552,557,576,579,580,734,837,886,909,931,987,1019,1601],[1,2,5,7,8,15,
19,20,21,28,29,37,45,46,69,84,85,86,90,94,115,116,118,121,125,127,130,133,134,
138,155,158,170,173,179,280,283,290,292,318,325,331,341,342,345,377,384,390,
395,418,429,443,446,458,464,472,497,523,533,536,548,724,768,839,870,895,901,
1003,1037,1133,1168,1173,1602],[1,2,5,6,8,15,20,21,22,23,29,33,69,77,78,80,82,
86,90,112,118,121,123,125,138,149,155,168,277,278,297,306,318,341,354,360,395,
417,430,472,497,564,580,778,863,869,915,1003,1004,1015,1603],[1,2,5,6,8,9,15,
20,21,22,26,29,33,36,39,44,45,78,80,82,86,90,104,109,117,118,123,124,135,138,
152,153,158,167,179,209,216,293,297,311,331,341,348,386,417,430,444,460,468,
480,484,557,574,609,794,852,857,869,918,927,928,1604],[1,2,4,5,6,8,9,15,18,20,
21,22,23,26,29,33,39,44,45,49,77,78,82,86,90,91,92,123,136,137,149,152,153,
155,158,167,168,179,189,196,199,200,209,216,294,297,313,331,348,354,360,386,
395,452,462,477,489,542,561,609,617,753,854,862,863,918,959,1025,1605],[1,2,3,
13,14,15,16,17,24,71,73,93,97,99,143,195,261,262,286,302,317,361,584,810,923,
964,1606],[1,2,3,8,9,13,14,15,16,17,24,29,32,39,47,71,73,86,87,89,93,143,148,
166,167,174,177,181,182,185,192,267,302,317,361,382,420,428,537,554,570,572,
799,855,883,923,1155,1607],[1,2,3,4,6,13,18,19,20,22,23,24,76,83,85,91,93,96,
112,113,114,120,135,138,141,168,266,303,307,328,344,366,370,397,408,427,521,
522,556,564,761,790,824,829,909,968,1023,1608],[1,2,5,7,8,9,14,15,19,20,21,26,
28,29,39,40,41,42,72,85,86,90,94,101,102,104,116,117,124,132,134,140,141,143,
145,150,151,159,167,175,292,293,298,337,349,351,357,359,367,374,389,496,537,
547,558,565,582,583,764,831,871,900,903,912,941,1609],[1,2,5,6,15,20,21,22,23,
25,26,30,77,82,84,90,104,108,111,114,115,117,124,143,149,155,168,280,293,305,
316,319,354,356,395,439,448,459,478,538,560,725,797,860,896,978,1002,1012,
1610],[1,2,3,6,7,13,20,22,23,24,26,28,76,92,93,94,96,112,114,118,120,128,131,
135,141,168,266,289,300,328,366,398,419,425,427,432,539,551,552,580,783,790,
886,968,985,1006,1016,1611],[1,2,3,4,5,7,8,13,18,19,20,21,24,26,27,28,29,32,
38,43,75,76,83,85,87,91,93,104,107,113,116,119,127,128,137,138,140,147,155,
158,164,165,170,172,188,201,266,301,303,307,315,329,362,368,378,380,457,464,
468,469,491,500,520,536,542,761,791,867,890,984,1030,1032,1612],[1,2,4,5,6,8,
9,15,18,20,21,22,23,26,29,39,44,49,69,77,78,80,82,86,90,91,92,104,117,121,124,
125,136,137,143,149,152,153,167,168,172,178,189,196,199,200,277,278,281,293,
313,318,354,356,360,386,392,416,417,421,430,452,459,477,478,481,484,489,490,
505,525,537,561,574,617,779,927,959,963,998,1002,1015,1043,1050,1092,1104,
1613],[1,2,4,5,6,9,15,18,20,21,22,23,26,39,44,49,77,82,84,90,91,92,111,114,
115,118,120,136,137,138,149,152,153,167,168,189,196,199,200,280,305,310,313,
319,341,352,354,363,386,388,396,398,408,445,448,452,477,489,535,550,552,556,
561,576,617,725,796,846,885,926,959,1027,1064,1112,1120,1129,1614],[1,2,5,6,7,
9,15,19,20,21,22,23,28,39,44,48,77,82,84,85,90,94,111,112,114,115,116,118,134,
138,149,152,153,167,168,193,202,203,204,280,292,305,306,319,341,345,354,377,
386,390,397,418,432,448,449,499,509,526,535,563,564,567,576,580,614,725,757,
901,926,956,960,1004,1040,1058,1068,1127,1615],[1,2,5,6,7,9,15,19,20,21,22,23,
28,36,39,44,48,77,82,84,85,90,94,109,115,116,118,120,134,135,138,149,152,153,
167,168,193,202,203,204,280,292,310,311,320,341,345,354,370,377,386,390,418,
425,445,449,455,480,499,509,550,552,556,557,567,614,727,807,885,901,928,960,
1027,1042,1084,1154,1165,1616],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,
29,32,43,45,71,75,76,83,85,87,91,101,102,104,113,115,121,122,125,127,128,132,
134,136,138,140,154,155,157,158,164,165,170,172,179,265,295,301,303,307,309,
312,329,337,345,378,385,388,404,421,429,439,450,458,464,468,497,518,520,536,
542,546,548,575,765,801,867,884,971,1007,1030,1089,1096,1163,1173,1617],[1,2,
5,7,15,19,20,21,28,33,78,80,84,85,90,94,115,116,118,123,134,138,143,280,291,
292,297,341,345,356,377,390,417,418,485,541,721,730,865,869,901,906,1018,
1618],[1,2,5,6,8,9,15,20,21,22,29,36,39,44,69,78,82,86,90,109,118,121,125,135,
138,143,152,153,155,167,278,294,311,318,341,348,356,386,395,472,480,497,525,
537,557,805,862,916,928,963,975,1003,1619],[1,2,4,5,6,8,15,18,20,21,22,26,29,
36,45,78,80,82,86,90,91,92,109,112,135,136,137,143,155,158,179,306,311,313,
331,344,348,356,395,417,419,430,462,481,505,542,811,852,859,915,975,998,1025,
1620],[1,2,4,5,8,9,15,18,20,21,26,29,39,40,41,42,69,86,90,91,92,104,117,121,
124,125,136,137,141,143,145,150,151,167,172,178,281,293,313,318,357,359,367,
374,392,416,421,490,492,493,525,554,565,583,779,903,912,939,950,951,965,
1621],[1,2,4,5,8,15,18,20,21,23,26,29,45,77,78,80,86,90,91,92,111,114,120,136,
137,143,155,158,179,305,310,313,331,356,360,393,395,398,408,417,462,481,505,
542,796,856,858,943,978,998,1025,1622],[1,2,3,6,7,13,16,17,20,22,23,26,28,73,
76,92,94,96,112,114,120,128,131,135,138,141,168,263,300,307,328,366,398,419,
425,427,432,539,551,556,564,743,780,824,880,909,985,1006,1623],[1,2,5,7,8,15,
19,20,21,23,28,29,45,77,78,80,85,86,90,94,111,112,114,116,134,143,155,158,179,
292,305,306,331,356,360,393,395,397,417,432,446,464,485,541,757,856,859,895,
906,915,978,1624],[1,2,4,5,6,7,8,9,15,18,19,20,21,22,26,28,29,31,33,35,36,38,
39,40,41,42,48,49,79,82,90,104,107,109,113,117,119,121,123,124,129,131,134,
135,136,137,140,142,145,147,150,151,160,167,172,178,199,200,202,204,208,211,
213,214,215,218,274,293,297,311,359,367,375,383,407,409,415,440,451,460,479,
486,489,490,491,507,509,510,511,512,534,545,559,565,573,583,794,899,903,910,
921,969,972,1051,1102,1121,1136,1625],[1,2,5,6,7,8,15,20,21,22,25,26,28,29,30,
36,37,46,81,82,90,94,106,108,109,124,125,127,130,131,133,135,141,142,143,147,
159,160,165,173,183,191,290,311,316,342,357,358,371,374,410,461,475,478,513,
515,519,566,571,585,806,828,872,898,911,933,934,1626],[1,2,5,7,8,15,19,20,21,
23,26,28,29,31,35,37,40,46,77,79,85,90,94,111,112,114,116,119,121,124,129,130,
133,134,140,142,143,145,147,160,165,170,173,292,305,306,355,367,374,375,397,
410,432,443,459,471,483,488,500,507,519,527,757,831,848,861,914,949,983,
1627],[1,2,3,4,6,9,13,16,17,18,19,20,22,23,39,47,49,73,76,83,85,91,96,113,114,
118,135,141,151,153,168,174,181,192,196,200,203,204,263,289,303,366,411,427,
452,480,492,535,558,559,562,567,572,592,781,785,844,880,982,1017,1019,1628],[
1,2,5,7,8,14,15,19,20,21,26,28,29,45,72,84,85,86,90,94,101,102,104,115,116,
117,118,124,132,134,138,140,155,158,159,175,179,280,292,293,298,322,331,337,
341,345,349,351,377,389,390,395,418,439,442,444,446,450,464,468,496,538,575,
720,764,857,860,895,901,967,1046,1047,1070,1096,1629],[1,2,4,5,6,9,15,18,20,
21,22,23,26,36,39,44,49,77,82,84,90,91,92,109,112,115,118,135,136,137,138,149,
152,153,167,168,189,196,199,200,280,306,311,313,320,341,344,352,354,363,386,
388,396,419,452,455,477,480,489,526,557,561,563,564,580,617,727,811,846,928,
956,959,1004,1044,1086,1109,1124,1630],[1,2,5,6,7,8,15,20,21,22,23,28,29,37,
45,77,78,82,86,90,118,120,127,130,133,138,143,149,158,168,179,290,294,310,331,
341,348,354,356,360,527,533,536,552,556,585,793,839,841,854,858,916,1027,
1631],[1,2,3,4,7,8,13,18,19,20,24,26,28,29,32,43,76,83,85,87,91,92,93,94,106,
113,128,131,140,155,158,164,170,171,172,188,264,288,300,301,303,304,332,350,
369,376,378,380,446,462,464,520,542,736,748,798,842,867,942,980,1632],[1,2,3,
5,8,13,14,15,20,21,27,29,32,34,35,71,75,76,86,87,89,100,101,106,118,121,125,
129,132,138,139,147,155,161,260,264,267,268,289,307,309,312,315,378,442,472,
487,497,555,575,734,745,748,890,891,971,1031,1633],[1,2,5,6,7,8,15,19,20,21,
22,28,29,36,45,78,80,82,85,86,90,94,109,116,120,134,135,143,155,158,179,292,
310,311,331,348,356,370,395,417,425,430,446,464,485,541,807,852,858,895,906,
943,975,1634],[1,2,3,6,7,9,13,20,22,23,26,28,39,47,48,76,81,92,94,96,104,112,
114,120,127,128,131,135,141,151,153,165,168,174,189,193,199,202,257,300,328,
329,333,366,371,398,411,419,425,427,432,447,477,493,499,511,539,543,544,547,
551,571,581,596,707,830,879,940,985,1006,1029,1117,1135,1178,1182,1635],[1,2,
3,4,6,7,8,9,13,18,19,20,22,23,26,28,29,32,39,43,47,48,76,83,85,87,91,92,94,96,
106,112,113,114,120,128,131,135,140,141,151,153,164,168,170,172,174,189,193,
199,202,264,300,303,328,332,344,350,366,369,370,376,397,408,411,427,437,447,
477,492,499,511,515,520,529,539,551,558,579,596,736,830,931,985,987,1017,1023,
1101,1176,1183,1184,1636],[1,2,3,6,7,9,13,16,17,20,22,23,26,28,39,47,48,73,76,
92,94,96,114,128,131,135,138,141,151,153,168,174,181,189,192,193,199,202,263,
300,307,366,411,427,447,477,493,499,511,547,557,572,576,596,780,781,830,837,
880,940,1024,1637],[1,2,3,6,7,9,13,20,22,23,26,28,39,47,48,76,84,92,94,96,112,
114,120,128,131,135,138,151,153,168,174,189,193,199,202,259,300,307,319,320,
328,363,398,411,418,419,425,427,432,447,477,499,511,526,550,556,557,564,576,
596,704,732,824,830,837,976,1006,1109,1112,1127,1154,1638],[1,2,5,7,8,9,15,20,
21,26,28,29,39,40,41,42,80,81,90,92,104,106,117,120,124,125,130,131,142,145,
147,150,151,159,160,165,167,178,291,293,310,333,358,359,367,410,416,474,482,
513,516,544,545,565,574,579,583,812,902,903,913,945,947,957,1639],[1,2,3,4,6,
7,8,9,13,18,19,20,22,23,26,28,29,32,39,43,47,49,76,83,85,87,91,92,94,96,106,
112,113,114,120,128,131,135,140,141,151,153,164,168,170,172,174,196,200,203,
204,264,300,303,328,332,350,366,369,376,398,411,419,425,427,432,437,452,493,
515,520,521,522,529,547,559,562,567,579,592,736,829,931,940,982,987,1006,1082,
1085,1108,1111,1640],[1,2,3,7,8,13,14,15,20,26,28,29,32,46,71,76,84,87,92,94,
101,104,124,125,127,128,130,131,138,155,158,159,160,165,173,175,178,259,300,
301,307,312,322,325,329,342,349,363,378,387,413,416,418,446,462,468,497,504,
506,513,523,536,538,575,705,732,971,980,1005,1010,1030,1037,1061,1070,1106,
1641],[1,2,3,4,6,9,13,18,19,20,22,23,39,47,49,76,81,83,85,91,96,112,113,114,
120,135,141,151,153,168,174,196,200,203,204,257,273,275,303,328,344,366,370,
397,408,411,427,452,492,521,522,543,544,558,559,562,567,571,581,592,699,829,
879,982,1017,1023,1029,1035,1067,1123,1171,1642],[1,2,3,8,13,20,24,29,32,76,
87,93,97,112,120,162,169,171,262,266,304,328,379,428,553,735,790,1011,1643],[
1,2,3,4,7,8,13,14,15,18,19,20,24,26,28,29,32,43,71,76,83,85,87,91,93,101,102,
104,113,122,125,127,128,134,136,138,140,155,164,165,170,172,266,288,303,307,
312,317,329,337,378,385,404,421,428,429,497,518,520,546,575,761,769,842,971,
992,1007,1032,1644],[1,2,3,13,14,15,16,17,24,69,71,72,73,93,162,169,195,255,
302,317,553,584,703,964,1014,1645],[1,2,3,6,9,13,20,22,23,39,47,76,81,96,112,
114,120,135,138,141,151,153,168,174,257,307,328,366,411,427,543,544,556,557,
564,571,576,581,714,824,837,879,909,1024,1029,1646],[1,2,3,6,7,9,13,20,22,23,
24,26,28,39,47,48,76,92,93,94,96,114,118,128,131,135,141,151,153,168,174,182,
185,189,193,199,202,266,289,300,366,411,427,447,477,480,493,499,511,535,547,
570,596,783,800,830,844,940,968,1019,1647],[1,2,3,4,7,8,13,14,15,18,19,20,26,
28,29,32,43,71,76,83,84,85,87,91,101,102,104,113,118,122,125,127,128,134,136,
140,155,158,164,165,170,172,259,289,301,303,312,322,325,329,337,377,378,385,
396,404,421,429,442,444,464,472,518,520,523,533,538,542,546,705,749,867,1000,
1007,1010,1031,1047,1074,1133,1175,1648],[1,2,5,9,15,20,21,26,39,44,78,80,84,
90,104,112,115,117,124,152,153,155,167,280,293,294,306,386,395,417,439,484,
526,538,563,574,722,767,860,862,915,927,956,1649],[1,2,3,13,14,15,16,17,24,70,
71,73,74,93,143,162,169,256,286,302,361,553,700,923,1014,1650],[1,2,3,8,13,14,
15,16,17,20,24,29,32,71,73,76,87,93,101,105,110,125,143,162,169,285,296,302,
312,361,379,553,742,923,1014,1651],[1,2,5,6,7,15,20,21,22,23,25,28,30,36,37,
77,82,84,90,108,109,115,127,130,133,135,143,149,155,168,183,191,280,290,311,
316,320,354,356,395,455,523,527,548,566,585,727,806,841,870,896,975,1012,
1652],[1,2,5,7,8,15,20,21,23,25,26,28,29,30,77,81,90,92,104,106,108,111,114,
117,124,125,130,131,141,142,143,147,159,160,165,178,293,305,316,333,357,358,
374,410,416,437,459,474,482,513,527,545,560,581,797,872,898,912,947,949,990,
1653],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,35,45,71,73,75,76,79,87,
88,90,93,98,101,103,115,121,125,126,129,132,144,147,154,157,158,161,163,166,
171,176,177,179,188,201,258,265,268,269,287,295,296,299,301,302,304,309,312,
314,315,317,347,368,375,379,380,399,405,406,420,428,450,458,540,586,610,618,
713,738,758,759,765,821,825,840,847,873,875,955,974,977,993,1654],[1,2,3,4,7,
8,13,14,15,16,17,18,19,20,24,26,28,29,32,43,71,73,76,83,85,87,91,93,101,102,
104,113,118,122,125,127,128,134,136,140,155,164,165,166,170,172,177,263,288,
289,302,303,312,329,337,378,385,404,420,421,429,442,472,518,520,546,766,785,
842,889,1007,1031,1033,1655],[1,2,3,7,8,13,14,15,20,24,26,28,29,32,46,71,76,
87,92,93,94,101,104,118,124,125,127,128,130,131,155,159,160,165,173,175,178,
266,288,289,300,312,317,329,342,349,378,387,413,416,428,442,472,504,506,513,
769,783,942,1005,1031,1032,1033,1656],[1,2,5,6,7,8,9,14,15,19,20,21,22,23,26,
28,29,39,44,48,72,77,78,80,82,85,86,90,94,101,102,104,116,117,124,132,134,140,
143,149,152,153,159,167,168,175,193,202,203,204,271,282,292,293,298,337,348,
349,351,354,356,386,389,393,417,449,459,478,484,485,496,499,509,541,554,567,
574,582,614,764,906,924,925,927,960,1002,1080,1157,1160,1174,1657],[1,2,5,9,
15,20,21,26,39,44,78,80,84,90,104,115,117,120,124,152,153,155,167,280,291,293,
310,386,395,417,439,445,484,538,550,574,721,812,860,885,927,929,943,1658],[1,
2,5,6,7,8,9,15,20,21,22,25,28,29,30,36,37,39,44,45,78,80,82,86,90,108,109,118,
127,130,133,135,138,152,153,158,167,179,183,191,217,219,290,311,316,331,341,
348,386,417,430,480,516,517,533,536,557,566,612,806,823,839,849,852,853,928,
1659],[1,2,5,8,9,14,15,20,21,23,29,39,44,72,77,78,86,90,101,111,114,118,132,
138,143,152,153,155,167,271,294,298,305,341,356,360,386,395,442,535,554,575,
576,582,792,862,916,924,926,967,978,1660],[1,2,3,4,6,9,13,18,19,20,22,23,24,
39,47,49,76,83,85,91,93,96,113,114,135,138,141,151,153,168,174,182,185,196,
200,203,204,266,303,307,366,411,427,452,492,557,558,559,562,567,570,576,592,
761,800,837,968,982,1017,1024,1661],[1,2,3,8,13,14,15,16,17,24,29,32,71,73,86,
87,89,93,162,166,169,177,195,267,302,317,420,428,553,584,799,964,1014,1662],[
1,2,3,5,7,9,13,20,21,26,27,28,39,47,75,76,92,94,112,115,118,120,128,131,141,
151,153,174,265,289,300,328,352,366,390,411,445,493,539,547,551,563,802,803,
940,966,985,1016,1019,1663],[1,2,3,4,6,9,13,18,19,20,22,23,39,47,49,76,83,84,
85,91,96,112,113,114,118,120,135,151,153,168,174,196,200,203,204,259,289,303,
319,320,328,344,370,377,396,397,408,411,427,452,480,526,535,550,552,559,562,
567,580,592,704,749,844,886,976,982,1023,1042,1044,1064,1068,1664],[1,2,5,6,8,
15,20,21,22,23,26,29,45,77,78,82,86,90,104,112,117,118,124,138,143,149,158,
168,179,293,294,306,331,341,348,354,356,360,444,459,468,478,564,580,767,854,
857,859,916,1002,1004,1665],[1,2,3,8,13,16,17,20,24,29,32,73,76,87,93,105,110,
112,120,166,177,195,263,285,286,328,399,420,584,743,787,986,1666],[1,2,3,5,8,
13,16,17,21,24,27,29,31,32,45,73,75,79,87,93,98,103,126,144,154,157,162,169,
176,179,195,201,258,295,314,368,402,406,422,494,495,531,540,553,584,586,758,
920,989,1052,1053,1667],[1,2,5,8,9,15,20,21,23,29,39,44,69,77,80,86,90,111,
114,118,121,125,138,143,152,153,155,167,277,291,305,318,341,356,386,393,395,
472,497,525,535,537,576,760,926,929,963,978,1003,1018,1668],[1,2,3,13,16,17,
20,70,73,74,76,112,120,195,256,263,296,328,584,701,743,986,1669],[1,2,3,5,8,9,
13,16,17,21,24,25,27,29,30,31,32,33,39,41,42,44,45,47,73,75,79,87,93,98,103,
108,123,126,144,146,150,152,154,156,157,174,176,179,181,182,184,185,192,194,
197,201,205,209,213,216,217,219,258,295,314,368,400,406,414,424,433,438,456,
465,467,501,534,540,570,572,586,587,589,590,591,609,612,613,615,616,758,838,
845,851,1062,1073,1113,1187,1670],[1,3,5,8,9,16,24,27,30,32,33,35,41,44,45,47,
70,97,110,126,144,146,157,161,162,163,177,181,182,184,188,195,198,208,209,219,
323,394,402,414,435,441,467,495,590,593,600,605,610,611,619,814,1008,1045,
1059,1114,1126,1151,1671],[1,2,3,4,5,6,7,9,13,18,19,21,22,23,25,26,27,28,30,
31,33,36,37,38,39,40,41,42,44,47,48,49,75,79,83,96,98,107,108,109,111,116,117,
119,123,128,133,137,142,145,146,149,150,152,156,174,180,183,184,186,187,189,
191,193,194,196,197,199,200,202,203,204,205,207,211,212,213,215,218,258,272,
274,336,355,362,400,409,423,431,433,440,460,470,476,483,486,508,510,512,528,
534,549,560,565,566,568,569,573,583,587,591,592,596,614,615,617,620,623,729,
838,876,1051,1054,1055,1078,1083,1091,1102,1145,1153,1158,1170,1180,1672],[1,
2,4,5,6,7,9,14,18,20,21,22,23,28,36,38,39,41,42,48,49,84,88,91,94,95,107,109,
111,112,114,115,118,120,122,135,138,148,149,150,153,168,193,196,200,202,211,
215,276,308,319,320,327,344,346,381,388,390,391,396,403,408,418,425,432,445,
448,452,455,480,499,510,526,528,535,550,552,556,557,563,564,576,580,608,818,
820,919,944,1040,1044,1064,1084,1087,1124,1127,1129,1137,1154,1162,1673],[1,2,
4,5,6,7,8,9,14,18,19,20,21,22,23,26,28,29,38,39,43,44,48,49,81,88,91,94,95,
101,102,106,107,112,113,114,116,120,122,127,131,135,137,141,147,148,149,151,
152,164,165,170,172,189,193,196,199,200,202,203,204,273,308,332,334,335,339,
344,350,371,381,385,391,408,425,432,434,437,447,457,469,492,511,515,518,521,
522,529,539,543,544,547,551,559,562,571,579,581,597,608,614,617,820,892,981,
1067,1085,1088,1095,1101,1107,1111,1117,1123,1134,1176,1178,1674],[1,2,4,5,7,
8,14,15,18,20,21,26,28,29,38,43,45,46,72,84,88,89,91,94,101,104,107,115,118,
121,122,125,127,130,132,136,138,142,155,158,159,164,172,173,175,179,276,308,
322,325,338,340,342,349,353,365,385,388,390,396,401,403,418,421,439,442,444,
446,450,454,458,468,472,497,514,523,532,533,536,538,542,548,575,817,894,938,
944,1037,1046,1048,1070,1074,1089,1139,1148,1163,1168,1175,1675],[1,2,3,4,5,6,
7,8,9,13,18,19,21,22,23,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,
46,47,48,49,75,83,87,96,107,108,109,111,116,117,119,123,128,129,133,137,140,
142,145,146,149,150,152,156,159,160,161,164,170,172,173,174,178,183,184,186,
187,189,190,191,193,196,197,198,199,200,202,203,204,207,208,210,211,212,214,
215,268,336,362,364,373,383,400,407,423,431,433,440,451,460,470,471,476,479,
486,488,498,506,508,510,512,520,524,528,549,560,565,566,568,569,583,592,595,
596,611,614,617,621,622,881,970,988,1054,1055,1056,1094,1121,1125,1136,1141,
1144,1158,1167,1170,1676],[1,2,4,5,6,7,8,9,14,18,20,21,22,23,25,26,28,29,30,
31,33,35,36,37,38,39,40,41,42,43,46,48,49,79,88,91,94,95,107,108,109,111,117,
122,123,129,132,133,137,142,145,147,148,150,153,160,164,165,168,172,173,175,
180,183,186,187,190,191,193,194,196,198,200,202,205,207,208,210,211,212,213,
214,215,218,272,308,327,330,343,346,347,364,407,409,426,451,452,453,457,460,
470,471,479,483,486,499,510,519,524,528,532,534,549,560,565,566,568,569,573,
583,587,608,620,621,622,623,833,843,919,1051,1056,1063,1078,1079,1083,1125,
1132,1136,1140,1141,1153,1677],[1,3,5,8,9,16,24,25,27,32,33,35,41,44,45,47,70,
97,110,126,144,156,157,161,163,169,177,181,182,184,188,190,195,208,216,217,
323,394,422,424,435,441,467,495,589,593,595,600,601,602,610,814,1028,1041,
1114,1131,1150,1172,1678],[1,2,5,6,9,14,19,20,21,22,23,26,36,39,41,42,84,85,
88,92,95,102,109,111,112,114,115,118,119,120,135,138,148,149,150,153,168,189,
199,203,204,276,284,319,320,327,345,346,352,363,370,377,381,391,397,398,403,
419,440,445,448,455,477,480,508,526,535,550,552,556,557,563,564,567,576,580,
597,818,961,979,1001,1042,1058,1068,1086,1087,1109,1112,1120,1137,1162,1165,
1679],[1,2,4,5,6,7,8,9,14,18,19,20,21,22,23,26,28,29,39,44,48,49,81,85,88,92,
95,101,102,104,106,112,113,114,116,119,120,122,131,135,137,140,141,147,148,
149,151,152,165,170,172,189,193,196,199,200,202,203,204,275,284,333,334,335,
337,339,369,370,376,381,391,397,398,419,434,437,447,491,493,500,511,515,518,
521,522,529,539,543,544,551,558,559,562,571,579,581,597,608,614,617,954,962,
1001,1035,1082,1088,1095,1107,1108,1134,1135,1171,1182,1183,1184,1680],[1,2,5,
6,7,8,9,14,19,20,21,22,23,25,26,28,29,30,31,33,35,36,37,39,40,41,42,79,85,88,
92,95,102,108,109,111,116,117,119,123,129,132,133,140,142,145,147,148,150,153,
159,165,168,170,175,178,183,189,190,191,194,198,199,203,204,205,207,208,212,
213,214,218,274,284,327,330,343,346,347,355,373,383,426,440,451,460,471,473,
474,476,477,479,483,496,500,508,512,524,534,549,560,565,566,567,568,569,573,
583,587,597,866,948,961,1063,1079,1091,1094,1102,1121,1132,1140,1144,1145,
1167,1180,1681],[1,3,5,8,9,16,24,25,27,31,32,33,34,42,44,45,47,70,98,99,110,
126,139,144,154,156,169,171,177,181,185,195,197,201,205,209,213,217,394,422,
424,465,494,578,586,588,594,598,600,604,615,616,816,1028,1052,1113,1159,1164,
1166,1682],[1,2,4,5,7,8,9,14,18,20,21,25,28,29,30,33,38,39,40,44,45,88,89,91,
94,107,108,122,123,141,145,148,151,152,155,158,179,186,187,209,216,217,219,
308,330,339,353,365,426,434,446,470,486,492,542,547,609,612,843,938,981,1039,
1049,1093,1105,1683],[1,2,5,7,8,14,15,19,20,21,26,28,29,45,72,84,85,88,89,92,
101,102,104,115,118,119,121,124,125,127,132,134,138,140,142,155,158,160,170,
175,178,179,276,284,322,325,337,340,345,352,353,363,365,377,389,401,403,413,
416,429,439,442,444,450,458,462,464,468,472,473,497,502,507,523,533,536,538,
548,575,817,878,932,979,1047,1048,1061,1081,1096,1106,1110,1133,1139,1148,
1173,1684],[1,3,5,8,9,16,17,24,25,27,31,32,33,34,42,44,45,47,74,98,99,103,105,
110,126,139,144,154,156,162,166,171,176,177,181,185,195,197,201,205,209,213,
217,402,412,424,463,465,494,530,540,578,586,593,599,603,604,606,607,615,616,
937,1053,1069,1098,1113,1161,1166,1685],[1,2,3,4,6,7,8,9,13,14,15,18,19,22,23,
26,28,29,32,39,43,46,47,48,49,71,77,78,80,82,83,86,87,89,95,96,102,122,124,
128,130,134,136,140,143,148,159,160,164,167,170,172,173,174,175,178,189,193,
196,199,200,202,203,204,267,270,279,348,351,360,361,372,382,384,387,392,393,
404,430,449,459,478,481,484,485,489,502,505,506,509,514,516,517,520,527,537,
541,554,561,574,585,592,596,597,608,882,883,958,1050,1075,1077,1080,1092,1118,
1122,1130,1149,1152,1160,1179,1686],[1,3,5,8,9,16,24,27,30,31,32,33,34,42,44,
45,47,70,98,99,110,126,139,144,146,154,162,171,177,181,185,194,195,197,201,
213,216,219,394,402,414,465,494,578,586,588,591,599,600,603,604,613,816,1008,
1053,1057,1073,1098,1159,1687],[1,3,5,8,9,16,17,24,25,27,32,33,35,41,44,45,47,
74,97,110,126,156,157,161,162,163,166,176,181,182,184,188,190,195,208,216,217,
323,402,412,424,436,441,467,495,588,589,595,605,606,618,619,819,937,1041,1126,
1128,1151,1172,1688],[1,3,5,8,9,16,17,24,27,30,31,32,33,34,42,44,45,47,74,98,
99,103,105,110,126,139,144,146,154,166,169,171,176,177,181,185,194,195,197,
201,213,216,219,412,414,422,463,465,494,530,540,578,586,591,593,594,598,604,
606,607,613,1020,1052,1057,1069,1073,1161,1164,1689],[1,2,5,8,9,14,19,20,21,
25,26,29,30,33,39,40,44,45,85,88,89,92,102,108,119,123,141,145,148,151,152,
155,158,179,209,216,217,219,284,330,339,353,365,426,434,462,464,476,493,512,
558,609,612,932,948,962,1039,1049,1093,1105,1690],[1,2,3,4,6,7,9,13,14,15,18,
19,22,23,26,28,39,47,48,49,69,71,72,77,78,80,82,83,95,96,102,122,124,128,130,
134,136,143,148,167,174,175,189,193,196,199,200,202,203,204,255,270,271,277,
278,279,281,282,283,338,361,382,387,389,404,449,459,478,481,484,485,489,505,
509,516,517,525,527,541,561,574,582,585,592,596,597,608,719,723,922,1043,1065,
1075,1077,1104,1115,1116,1118,1130,1157,1174,1177,1691],[1,3,5,8,9,16,17,24,
27,30,32,33,35,41,44,45,47,74,97,110,126,146,157,161,163,166,169,176,181,182,
184,188,195,198,208,209,219,323,412,414,422,436,441,467,495,588,590,601,602,
606,611,618,819,1020,1045,1059,1128,1131,1150,1692],[1,2,10,11,12,15,50,51,56,
69,220,227,624,633,635,636,1693],[1,3,10,11,12,16,53,54,55,58,70,220,236,630,
631,632,639,640,1694],[1,2,3,6,10,11,12,13,22,23,50,51,53,54,55,56,58,59,61,
96,220,221,224,230,231,232,233,234,624,627,630,662,668,1189,1194,1195,1695],[
1,2,3,4,10,11,12,13,18,19,50,51,52,53,54,55,56,58,66,83,220,221,222,223,224,
231,242,244,624,628,630,637,693,1192,1193,1194,1696],[1,2,4,6,9,10,11,12,18,
22,39,49,50,51,52,56,59,61,62,63,64,65,66,68,200,220,223,230,234,238,240,242,
246,247,250,251,624,625,626,627,628,670,694,1191,1193,1195,1198,1199,1697],[1,
2,6,9,10,11,12,19,22,39,50,51,56,59,60,61,65,67,68,204,220,222,230,234,235,
243,244,247,624,627,629,674,696,1190,1192,1195,1698],[1,2,4,9,10,11,12,18,23,
39,50,51,52,56,60,65,66,67,68,196,220,223,232,233,235,242,243,247,624,628,629,
684,695,1189,1190,1193,1699],[1,2,3,9,10,11,12,13,39,47,50,51,53,54,55,56,58,
60,62,63,64,65,67,68,174,220,221,224,231,235,238,240,241,243,245,247,249,252,
253,254,624,625,626,629,630,680,690,692,1190,1191,1194,1196,1197,1700],[1,2,9,
10,11,12,19,23,39,50,51,56,62,63,64,65,68,203,220,222,232,233,238,240,244,247,
624,625,626,678,697,1189,1191,1192,1701],[1,2,5,10,15,20,21,33,50,84,90,115,
123,143,227,280,297,356,634,642,865,1203,1702],[1,2,5,10,14,19,20,21,26,50,84,
85,88,92,102,115,118,119,138,222,226,228,276,284,345,352,363,377,403,634,660,
979,1205,1208,1209,1703],[1,2,5,8,12,15,20,21,29,31,34,35,56,69,79,81,86,90,
100,106,121,125,129,147,225,237,318,358,375,555,636,646,648,671,726,1704],[1,
2,4,5,10,15,18,20,21,26,50,52,84,90,91,92,115,118,136,137,138,223,227,228,280,
313,341,352,363,388,396,634,654,846,1203,1206,1209,1705],[1,2,5,7,10,15,19,20,
21,28,50,57,84,85,90,94,115,116,118,134,138,222,227,229,280,292,341,345,377,
390,418,634,643,901,1203,1207,1208,1706],[1,2,5,10,15,20,21,25,30,50,84,90,
108,115,143,227,280,316,356,634,641,896,1203,1707],[1,2,5,10,15,20,21,50,78,
80,84,90,115,227,280,294,417,634,649,722,1203,1708],[1,2,4,5,7,10,14,18,20,21,
28,38,50,52,57,84,88,91,94,107,115,118,122,138,223,226,229,276,308,388,390,
396,403,418,634,656,944,1205,1206,1207,1709],[1,2,5,9,10,15,20,21,39,44,50,64,
84,90,115,120,152,153,167,227,238,280,310,386,445,550,634,644,885,1203,1221,
1710],[1,2,5,9,10,15,20,21,39,44,50,60,84,90,112,115,152,153,167,227,235,280,
306,386,526,563,634,655,956,1203,1223,1711],[1,2,3,5,10,13,14,15,20,21,27,50,
53,71,75,76,84,88,90,115,221,226,227,259,265,269,276,280,634,659,698,1203,
1204,1205,1712],[1,2,5,6,10,15,20,21,22,23,50,61,77,82,84,90,111,114,115,149,
168,227,234,280,305,319,354,448,634,645,725,1203,1222,1713],[1,2,5,8,10,14,15,
20,21,29,45,50,72,84,86,90,101,115,132,158,179,226,227,280,298,322,331,450,
634,651,720,1203,1216,1714],[1,2,5,7,10,15,20,21,28,37,50,57,84,90,115,127,
130,133,155,227,229,280,290,395,523,548,634,653,870,1203,1218,1715],[1,2,5,10,
15,20,21,26,50,84,90,104,115,117,124,155,227,228,280,293,395,439,538,634,652,
860,1203,1226,1716],[1,2,5,8,10,15,20,21,29,45,50,69,84,86,90,115,121,125,158,
179,227,280,318,325,331,458,634,635,724,1203,1217,1717],[1,2,5,10,15,20,21,50,
78,80,84,90,115,227,280,291,417,634,647,721,1203,1718],[1,2,5,6,10,15,20,21,
22,23,36,50,77,82,84,90,109,115,135,149,168,227,233,280,311,320,354,455,634,
661,727,1203,1225,1719],[1,2,3,7,10,13,20,26,28,50,53,57,76,84,92,94,128,131,
138,221,228,229,259,300,307,363,418,634,650,732,1204,1207,1209,1720],[1,2,3,4,
10,13,18,19,20,50,52,53,76,83,84,85,91,113,118,221,222,223,259,289,303,377,
396,634,637,749,1204,1206,1208,1721],[1,2,3,4,7,10,13,14,15,18,19,26,28,50,52,
53,57,69,71,72,83,102,122,124,128,130,134,136,175,221,222,223,226,227,228,229,
255,281,283,338,387,389,404,635,637,643,650,651,652,653,654,656,659,660,676,
719,1212,1214,1215,1230,1233,1262,1271,1722],[1,2,3,6,12,13,14,15,22,23,56,58,
59,69,71,72,77,78,80,82,95,96,230,231,232,255,270,271,277,278,279,282,636,662,
723,1210,1211,1213,1723],[1,2,4,6,9,10,18,20,22,23,39,49,50,52,60,84,91,112,
118,135,153,168,196,200,223,233,235,320,344,396,452,480,526,580,634,684,1044,
1206,1223,1225,1724],[1,2,5,8,10,14,15,20,21,29,45,50,72,84,88,89,101,115,121,
125,132,158,179,226,227,276,322,325,353,401,450,458,634,651,817,1205,1216,
1217,1725],[1,2,6,7,9,10,20,22,23,28,39,48,50,57,60,61,84,94,112,114,138,153,
168,193,202,229,234,235,248,319,418,432,499,526,564,576,634,685,1127,1207,
1222,1223,1726],[1,3,5,9,11,16,24,27,41,44,47,55,65,97,126,162,163,181,182,
184,236,241,323,402,467,605,619,638,679,1126,1219,1281,1727],[1,3,5,11,16,24,
25,27,33,55,97,126,156,163,195,236,323,424,495,638,677,1172,1219,1728],[1,3,5,
8,11,16,17,24,27,32,35,45,55,74,97,110,126,157,161,163,166,176,188,236,239,
323,412,436,441,618,638,681,819,1219,1258,1729],[1,2,5,7,10,14,20,21,26,28,50,
57,84,88,104,115,127,142,155,175,226,228,229,276,340,365,439,523,538,548,634,
676,1139,1205,1218,1226,1730],[1,3,5,9,11,16,24,27,41,44,47,55,68,97,126,163,
169,181,182,184,236,245,323,422,467,601,602,638,682,1131,1219,1267,1731],[1,3,
5,11,16,24,27,30,33,55,97,126,146,163,195,236,323,414,495,638,687,1059,1219,
1732],[1,2,3,6,10,13,20,22,23,50,53,61,76,84,96,114,135,168,221,233,234,259,
319,320,427,634,668,704,1204,1222,1225,1733],[1,2,3,5,11,13,16,17,21,24,27,51,
54,55,73,75,93,97,103,126,163,224,236,239,262,287,314,323,324,638,669,702,
1219,1220,1224,1734],[1,2,7,8,10,15,20,28,29,46,50,57,84,94,125,127,130,138,
155,158,173,227,229,325,342,418,446,497,523,536,634,653,1037,1207,1217,1218,
1735],[1,2,6,9,10,20,22,23,26,39,50,60,84,92,112,135,138,153,168,189,199,228,
233,235,320,363,419,477,526,557,564,634,683,1109,1209,1223,1225,1736],[1,2,6,
9,10,20,22,23,26,39,50,61,64,84,92,114,120,138,153,168,189,199,228,234,238,
319,363,398,477,550,556,576,634,665,1112,1209,1221,1222,1737],[1,2,3,9,10,13,
20,39,47,50,53,60,64,76,84,112,120,151,153,174,221,235,238,252,259,328,411,
526,550,634,680,976,1204,1221,1223,1738],[1,2,4,6,9,10,18,20,22,23,39,49,50,
52,61,64,84,91,114,118,120,153,168,196,200,223,234,238,246,319,396,408,452,
535,550,552,634,670,1064,1206,1221,1222,1739],[1,2,3,10,13,14,15,16,17,24,50,
53,70,71,73,74,93,221,226,227,256,286,302,632,659,700,1201,1740],[1,2,4,8,10,
15,18,20,26,29,50,52,84,91,104,118,125,136,155,158,172,223,227,228,325,396,
421,444,472,538,542,634,654,1074,1206,1217,1226,1741],[1,2,4,7,8,10,14,18,20,
28,29,43,50,52,57,84,91,101,118,122,127,155,158,164,223,226,229,322,385,396,
442,523,533,542,634,656,1175,1206,1216,1218,1742],[1,2,3,7,10,13,20,26,28,50,
53,57,76,84,104,127,128,155,165,221,228,229,259,329,378,523,538,634,650,1010,
1204,1218,1226,1743],[1,3,5,8,12,16,24,27,31,32,34,45,58,70,98,99,110,126,139,
144,154,171,177,201,225,237,394,578,586,604,639,664,673,691,816,1744],[1,2,6,
9,10,19,20,22,23,39,50,60,61,84,85,112,114,118,153,168,203,204,222,234,235,
319,377,397,526,535,567,580,634,674,1068,1208,1222,1223,1745],[1,2,5,9,10,14,
20,21,39,41,42,50,60,64,84,88,112,115,120,148,150,153,226,235,238,276,327,391,
445,526,550,563,634,667,1162,1205,1221,1223,1746],[1,2,6,7,9,10,20,22,23,28,
39,48,50,57,64,84,94,120,135,138,153,168,193,202,229,233,238,320,418,425,499,
550,556,557,634,663,1154,1207,1221,1225,1747],[1,2,7,8,10,15,19,20,28,29,50,
57,84,85,118,125,127,134,155,158,170,222,227,229,325,377,429,464,472,523,533,
634,643,1133,1208,1217,1218,1748],[1,2,8,10,15,20,26,29,50,84,92,104,124,125,
138,155,158,178,227,228,325,363,416,462,468,497,538,634,652,1061,1209,1217,
1226,1749],[1,2,5,6,10,14,20,21,22,23,36,50,61,84,88,95,109,111,114,115,135,
149,168,226,233,234,276,319,320,346,381,448,455,634,666,818,1205,1222,1225,
1750],[1,2,3,8,10,13,14,15,20,29,32,50,53,71,76,84,87,101,125,158,221,226,227,
259,301,312,322,325,634,659,705,1204,1216,1217,1751],[1,2,7,8,10,14,20,26,28,
29,50,57,84,94,101,104,138,155,158,159,175,226,228,229,322,349,418,446,468,
538,575,634,676,1070,1207,1216,1226,1752],[1,2,7,8,10,14,20,26,28,29,50,57,84,
92,101,127,138,155,158,160,175,226,228,229,322,363,413,462,523,536,575,634,
676,1106,1209,1216,1218,1753],[1,2,8,10,14,19,20,26,29,50,84,85,101,102,104,
118,140,155,158,222,226,228,322,337,377,442,444,464,538,634,660,1047,1208,
1216,1226,1754],[1,2,6,9,10,19,20,22,23,39,50,64,84,85,118,120,135,153,168,
203,204,222,233,238,320,370,377,480,550,552,567,634,678,1042,1208,1221,1225,
1755],[1,2,3,11,13,16,17,20,51,54,55,70,73,74,76,224,236,239,256,263,296,631,
669,701,1202,1756],[1,3,5,8,11,16,24,27,32,35,45,55,70,97,110,126,144,157,161,
163,177,188,236,323,394,435,441,610,638,640,814,1219,1245,1757],[1,2,3,11,13,
14,15,16,17,24,51,54,55,69,71,72,73,93,224,236,239,255,302,317,633,669,703,
1200,1758],[1,2,4,6,9,10,15,18,22,26,39,49,50,52,61,64,69,78,82,124,136,143,
167,199,200,223,227,228,234,238,246,278,281,478,484,489,505,525,635,641,644,
645,647,652,654,665,670,1043,1212,1237,1241,1256,1261,1272,1274,1759],[1,2,6,
7,9,10,15,19,22,28,39,48,50,57,60,61,69,78,82,130,134,143,167,202,204,222,227,
229,234,235,248,278,283,485,509,517,525,585,635,642,643,645,647,653,655,674,
685,1177,1215,1232,1237,1243,1263,1273,1275,1760],[1,2,4,6,7,9,10,14,15,18,22,
26,28,39,49,50,52,57,61,64,72,80,82,122,130,136,143,167,175,199,200,223,226,
227,228,229,234,238,246,282,338,481,489,516,582,585,642,644,645,649,651,653,
654,656,665,670,676,1065,1241,1242,1243,1247,1257,1260,1262,1761],[1,2,4,9,12,
18,19,20,23,39,56,66,67,81,85,112,113,114,141,151,196,203,232,242,243,275,397,
521,543,558,562,581,646,695,1035,1252,1265,1282,1762],[1,2,6,7,9,10,14,15,19,
22,26,28,39,48,50,57,60,61,72,80,82,102,124,134,143,167,175,202,204,222,226,
227,228,229,234,235,248,282,389,478,509,541,574,582,641,643,645,649,651,652,
655,660,674,676,685,1157,1232,1242,1255,1256,1271,1277,1280,1763],[1,2,3,6,10,
13,14,15,22,23,50,53,61,69,71,72,77,78,80,82,95,96,221,226,227,233,234,255,
270,271,277,278,279,282,635,645,647,649,651,659,661,666,668,723,1214,1234,
1237,1239,1242,1250,1264,1764],[1,2,3,6,7,10,13,14,15,22,23,26,28,50,53,57,61,
71,77,82,95,96,124,128,130,143,175,221,226,227,228,229,233,234,279,361,387,
459,478,527,585,641,642,645,650,652,653,659,661,666,668,676,1077,1230,1243,
1244,1250,1253,1254,1256,1765],[1,3,5,9,11,17,24,27,42,44,47,55,65,68,97,103,
162,163,169,182,192,197,239,241,245,324,501,531,601,602,605,619,638,689,1185,
1224,1267,1281,1766],[1,2,3,4,12,13,18,19,20,56,58,66,76,81,83,85,91,113,231,
242,244,257,273,275,303,646,693,699,1238,1251,1265,1767],[1,2,4,9,12,15,18,23,
26,39,56,66,67,69,77,80,124,136,143,167,189,196,232,242,243,277,281,459,481,
525,561,574,636,695,1104,1213,1236,1276,1768],[1,2,3,9,11,13,24,39,47,51,54,
55,65,68,93,97,162,169,174,182,185,224,241,245,247,253,262,553,570,602,605,
638,690,1103,1220,1267,1281,1769],[1,2,3,8,11,13,16,17,24,29,32,51,54,55,73,
87,93,97,166,177,188,224,236,239,262,380,420,435,436,638,669,728,1220,1245,
1258,1770],[1,2,5,9,12,19,21,23,25,26,30,31,39,40,41,42,56,62,63,79,108,111,
117,119,145,150,189,194,203,205,225,232,240,244,274,476,483,508,560,583,587,
648,657,658,697,1180,1246,1268,1270,1771],[1,2,3,7,9,10,13,14,15,26,28,39,47,
50,53,57,60,64,71,78,80,124,128,130,148,167,174,175,221,226,227,228,229,235,
238,252,270,382,387,484,516,517,574,644,647,649,650,652,653,655,659,667,676,
680,1130,1230,1231,1234,1257,1261,1273,1280,1772],[1,2,4,6,9,12,18,19,20,22,
39,49,56,59,62,63,66,81,85,113,120,135,141,151,200,204,230,240,242,250,251,
275,370,522,544,558,559,571,646,694,1171,1249,1265,1279,1773],[1,2,3,5,9,12,
13,21,25,27,30,31,33,39,41,42,44,47,56,58,62,63,67,75,79,98,108,123,146,150,
152,156,174,184,194,197,205,213,225,231,240,243,249,254,258,400,433,534,587,
591,615,648,657,658,664,675,692,838,1235,1248,1268,1289,1297,1774],[1,2,4,9,
12,18,19,20,23,39,56,62,63,81,91,113,114,120,141,151,196,203,232,240,244,273,
408,492,522,544,562,581,646,697,1067,1238,1279,1282,1775],[1,2,6,7,9,12,15,19,
22,28,39,48,56,59,67,69,78,82,130,134,143,167,202,204,230,243,244,278,283,485,
509,517,525,585,636,696,1177,1211,1229,1276,1776],[1,2,3,9,10,13,14,15,39,47,
50,53,60,64,69,71,72,143,148,167,174,221,226,227,235,238,252,255,361,382,525,
582,635,641,642,644,651,655,659,667,680,922,1214,1231,1253,1260,1272,1275,
1277,1777],[1,2,4,6,9,12,18,19,20,22,39,49,56,59,67,81,91,112,113,135,141,151,
200,204,230,243,244,273,344,492,521,543,559,571,646,696,1123,1238,1249,1252,
1778],[1,2,3,5,6,12,13,21,22,23,27,31,36,40,56,58,59,75,79,96,98,109,111,145,
149,218,225,230,231,232,258,423,431,483,573,648,662,664,672,876,1235,1266,
1270,1779],[1,2,4,6,9,12,15,18,22,26,39,49,56,59,62,63,66,69,78,82,124,136,
143,167,199,200,230,240,242,250,251,278,281,478,484,489,505,525,636,694,1043,
1211,1236,1278,1780],[1,2,4,5,7,9,12,18,21,23,28,31,33,37,38,39,40,41,42,56,
66,67,79,107,111,123,133,145,150,180,193,196,207,213,225,232,242,243,272,483,
486,528,534,568,569,648,675,686,695,1078,1248,1259,1270,1781],[1,2,3,4,7,12,
13,14,15,18,19,26,28,56,58,66,69,71,72,83,102,122,124,128,130,134,136,175,231,
242,244,255,281,283,338,387,389,404,636,693,719,1210,1229,1236,1782],[1,2,7,9,
10,14,15,19,23,26,28,39,50,57,64,72,77,78,102,124,134,143,167,175,193,203,222,
226,227,228,229,233,238,271,389,449,459,484,485,582,642,643,644,647,651,652,
660,661,663,676,678,1174,1240,1254,1260,1261,1263,1264,1271,1783],[1,2,3,4,7,
10,13,14,15,18,19,26,28,50,52,53,57,71,78,80,83,102,122,128,134,136,143,221,
222,223,226,227,228,229,270,361,404,481,485,505,541,637,641,642,643,647,649,
650,654,656,659,660,1118,1233,1234,1247,1253,1255,1263,1274,1784],[1,2,3,4,6,
7,9,10,13,14,15,18,19,22,23,26,28,39,47,48,49,50,52,53,57,60,61,64,71,77,82,
83,95,96,102,122,128,134,136,148,167,174,189,193,196,199,200,202,203,204,221,
222,223,226,227,228,229,233,234,235,238,246,248,252,279,382,404,449,489,509,
561,592,596,597,608,637,643,644,645,650,654,655,656,659,660,661,663,665,666,
667,668,670,674,678,680,683,684,685,1075,1231,1232,1233,1240,1241,1250,1269,
1285,1287,1294,1301,1785],[1,2,3,9,12,13,20,39,47,56,58,62,63,67,76,81,112,
120,151,153,174,231,240,243,249,254,257,328,411,543,544,646,692,1029,1251,
1252,1279,1786],[1,2,3,9,11,13,14,15,39,47,51,54,55,65,68,69,71,72,143,148,
167,174,224,241,245,247,253,255,361,382,525,582,633,690,922,1200,1292,1787],[
1,3,5,8,11,16,17,24,27,32,35,45,55,74,97,103,105,144,157,161,163,166,176,177,
188,236,239,324,435,436,463,577,610,618,638,681,1034,1224,1245,1258,1788],[1,
2,5,6,9,12,19,21,22,26,31,33,36,39,40,41,42,56,59,67,79,109,117,119,123,145,
150,199,204,213,218,225,230,243,244,274,440,460,512,534,565,573,648,672,675,
696,1102,1246,1248,1266,1789],[1,2,7,9,10,15,19,23,28,39,50,57,64,69,77,80,
130,134,143,167,193,203,222,227,229,233,238,277,283,449,516,525,527,541,635,
641,643,644,649,653,661,663,678,1116,1215,1239,1240,1244,1255,1257,1272,
1790],[1,2,3,4,5,7,12,13,18,19,21,26,27,28,31,37,38,56,58,66,75,79,83,98,107,
116,117,119,128,133,137,142,180,225,231,242,244,258,272,274,336,355,362,409,
648,664,686,693,729,1235,1246,1259,1791],[1,2,3,6,12,13,20,22,23,56,58,59,76,
81,96,114,135,141,168,230,231,232,257,366,427,571,581,646,662,879,1249,1251,
1282,1792],[1,2,4,5,6,7,9,12,18,21,22,25,28,30,31,36,37,38,39,40,41,42,48,49,
56,59,62,63,66,79,107,108,109,133,145,150,180,183,186,187,191,194,200,202,205,
211,212,215,218,225,230,240,242,250,251,272,470,510,549,566,573,587,620,623,
648,657,658,672,686,694,1083,1259,1266,1268,1283,1290,1793],[1,2,4,9,10,15,18,
23,26,39,50,52,60,69,77,80,124,136,143,167,189,196,223,227,228,233,235,277,
281,459,481,525,561,574,635,642,649,652,654,655,661,683,684,1104,1212,1239,
1247,1254,1269,1275,1280,1794],[1,2,7,9,12,15,19,23,28,39,56,62,63,69,77,80,
130,134,143,167,193,203,232,240,244,277,283,449,516,525,527,541,636,697,1116,
1213,1229,1278,1795],[1,2,3,9,12,13,14,15,39,47,56,58,62,63,67,69,71,72,143,
148,167,174,231,240,243,249,254,255,361,382,525,582,636,692,922,1210,1276,
1278,1796],[1,2,3,9,10,13,16,17,39,47,50,53,60,64,70,73,74,174,181,192,195,
221,235,238,252,256,572,584,600,606,632,680,1143,1201,1303,1797],[1,2,4,7,9,
10,14,15,18,23,26,28,39,50,52,57,60,72,77,78,122,130,136,143,167,175,189,196,
223,226,227,228,229,233,235,271,338,505,517,527,561,582,641,647,651,653,654,
655,656,661,676,683,684,1115,1244,1262,1264,1269,1273,1274,1277,1798],[1,2,3,
9,11,13,16,17,39,47,51,54,55,65,68,70,73,74,174,181,192,195,224,241,245,247,
253,256,572,584,600,606,631,690,1143,1202,1284,1799],[1,2,3,4,7,8,12,13,18,19,
26,28,29,32,34,43,46,56,58,66,83,87,100,128,139,140,159,160,164,170,172,173,
178,206,231,237,242,244,260,321,326,466,503,506,520,671,688,691,693,815,1295,
1302,1305,1800],[1,2,3,9,11,13,16,17,39,47,51,54,55,65,68,70,73,74,174,181,
192,195,224,236,239,241,245,247,253,256,572,584,600,606,640,669,677,679,681,
682,687,689,690,1143,1228,1286,1291,1296,1298,1299,1306,1801],[1,2,3,9,12,13,
24,39,47,56,58,62,63,67,93,99,162,169,174,182,185,231,240,243,249,254,261,553,
570,598,603,673,692,1100,1293,1300,1304,1802],[1,2,3,9,12,13,16,17,39,47,56,
58,62,63,67,70,73,74,174,181,192,195,231,240,243,249,254,256,572,584,600,606,
639,692,1143,1227,1288,1307,1803],[1,2,3,5,6,8,13,14,15,20,21,22,23,27,29,32,
36,45,69,71,72,75,76,77,78,80,82,84,86,87,88,89,90,95,96,101,109,111,114,115,
121,125,132,135,149,154,157,158,168,179,255,259,265,267,269,270,271,276,277,
278,279,280,282,291,294,295,298,301,305,309,311,312,318,319,320,322,325,331,
346,348,353,354,360,381,393,401,417,423,427,430,448,450,455,458,698,704,705,
706,708,720,721,722,723,724,725,727,760,763,765,770,776,789,792,805,817,818,
836,852,854,856,925,958,1015,1312,1313,1314,1345,1346,1347,1349,1444,1459,
1804],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,29,31,32,34,35,37,38,43,46,
69,71,72,75,76,79,81,83,85,86,87,88,89,90,91,92,94,98,100,101,102,104,106,107,
113,116,117,119,121,122,124,125,127,128,129,130,131,132,133,134,136,137,139,
140,142,147,159,160,161,164,165,170,172,173,175,178,180,206,210,255,257,258,
260,264,267,268,269,272,273,274,275,281,283,284,290,292,293,298,300,303,308,
309,312,313,315,318,321,326,329,332,333,334,335,336,337,338,340,342,343,347,
349,350,351,355,358,362,364,369,371,372,373,375,376,383,384,385,387,389,392,
401,404,407,409,410,413,415,416,421,429,443,453,454,457,461,466,469,473,474,
475,482,487,488,490,491,496,498,500,502,503,504,506,507,513,514,518,519,520,
532,545,546,555,699,706,707,712,713,719,726,729,736,740,745,756,762,764,768,
779,786,815,828,833,850,861,866,877,878,882,892,893,894,897,935,936,947,952,
954,972,984,988,994,1005,1007,1036,1038,1060,1066,1071,1072,1097,1099,1119,
1138,1169,1181,1311,1327,1337,1344,1348,1363,1387,1488,1499,1568,1805],[1,2,3,
4,13,16,17,18,19,20,70,73,74,76,81,83,84,85,91,113,118,256,257,259,263,273,
275,289,296,303,377,396,699,701,710,715,749,785,1309,1326,1329,1806],[1,2,3,4,
5,13,18,19,20,21,24,27,31,75,76,79,81,83,85,91,93,98,99,113,115,138,163,257,
258,261,265,266,273,275,287,299,303,307,345,388,405,699,714,718,750,759,761,
801,1315,1319,1340,1807],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,70,71,73,
74,75,76,81,84,87,88,90,93,101,103,105,106,110,115,125,126,144,147,158,166,
176,177,256,257,259,263,264,265,266,269,276,280,285,286,288,296,301,302,312,
314,315,322,325,334,358,379,394,399,405,406,412,420,463,698,700,701,705,709,
711,712,715,717,718,733,739,742,744,746,766,787,804,821,826,875,977,996,999,
1309,1321,1325,1365,1419,1433,1466,1808],[1,2,3,6,13,16,17,20,22,23,70,73,74,
76,81,84,96,114,135,141,168,256,257,259,263,296,319,320,366,427,571,581,701,
704,715,782,879,880,1309,1374,1415,1809],[1,2,3,5,8,13,14,15,16,17,20,21,24,
27,29,32,69,70,71,72,73,74,75,76,86,87,88,89,90,93,97,99,101,103,105,110,121,
125,126,132,144,163,166,171,176,177,188,201,255,256,261,262,263,266,267,269,
285,286,287,288,296,298,299,302,304,309,312,314,317,318,323,324,368,379,380,
394,399,401,405,406,412,420,428,435,436,463,530,578,700,701,702,703,706,716,
717,728,735,738,739,742,744,750,766,769,771,787,799,810,821,825,826,827,835,
840,873,953,995,996,1021,1022,1026,1310,1324,1365,1369,1384,1422,1437,1497,
1567,1810],[1,2,3,4,8,13,18,19,20,24,29,32,34,76,81,83,85,87,91,93,99,100,113,
139,155,158,188,257,260,261,273,275,288,301,303,378,379,380,399,428,464,542,
699,788,804,842,867,991,1021,1317,1402,1474,1811],[1,2,3,5,8,13,14,15,16,17,
20,21,24,25,27,29,30,32,33,71,73,75,76,81,84,87,88,90,93,101,103,106,108,115,
123,125,126,143,144,146,147,156,176,257,259,263,264,265,266,269,276,280,296,
297,302,312,314,315,316,334,356,358,361,374,399,400,405,406,414,424,426,456,
698,709,711,712,715,717,718,731,741,821,851,865,872,875,896,908,923,1321,1342,
1343,1370,1439,1812],[1,2,3,5,8,13,14,15,16,17,20,21,24,25,27,29,30,32,33,69,
71,72,73,75,76,86,87,88,89,90,93,101,103,108,112,120,121,123,125,126,132,146,
156,166,177,255,263,266,267,269,288,297,298,299,302,306,309,310,312,314,316,
317,318,328,391,400,401,414,420,424,426,428,456,703,706,716,717,731,743,754,
766,769,772,778,790,799,808,813,851,873,1324,1335,1343,1409,1441,1813],[1,2,3,
5,8,13,14,15,16,17,20,21,24,27,29,32,40,71,73,75,76,78,80,81,84,87,88,90,93,
101,103,106,115,125,126,144,145,147,176,257,259,263,264,265,266,269,270,276,
280,291,294,296,302,312,314,315,330,334,358,367,399,405,406,417,431,698,709,
711,712,715,717,718,721,722,755,776,821,874,875,930,957,1313,1321,1339,1399,
1413,1814],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,32,38,43,
71,73,75,76,81,83,84,85,87,88,90,91,92,93,94,101,102,103,104,106,107,113,115,
116,118,119,122,125,126,127,128,131,134,136,137,138,140,144,147,164,165,170,
172,176,257,259,263,264,265,266,269,273,275,276,280,284,289,292,296,300,302,
303,307,308,312,313,314,315,329,332,333,334,335,337,341,345,350,352,358,362,
363,369,371,376,377,385,388,390,396,399,403,404,405,406,415,418,421,429,457,
469,491,500,518,520,546,698,699,707,709,710,711,712,714,715,717,718,732,734,
736,749,756,761,773,780,783,785,801,803,821,846,875,892,893,897,901,944,954,
979,984,1007,1321,1322,1328,1329,1331,1337,1340,1354,1377,1427,1443,1815],[1,
2,3,5,8,13,14,15,20,21,27,29,31,32,34,35,69,71,72,75,76,79,81,86,87,88,89,90,
98,100,101,106,118,121,125,129,132,138,139,147,155,161,255,257,258,260,264,
267,268,269,289,298,307,309,312,315,318,334,341,347,358,365,375,378,395,401,
403,442,472,487,497,555,575,706,710,712,713,714,726,734,745,748,773,774,788,
890,891,967,971,994,1003,1031,1048,1311,1331,1336,1403,1404,1432,1446,1633,
1816],[1,2,3,5,7,8,13,14,15,16,17,20,21,24,26,27,28,29,32,37,46,71,73,75,76,
81,84,87,88,90,92,93,94,101,103,104,106,115,117,124,125,126,127,128,130,131,
133,142,144,147,155,159,160,165,173,175,176,178,257,259,263,264,265,266,269,
276,280,290,293,296,300,302,312,314,315,329,333,334,336,340,342,343,349,358,
365,371,378,387,395,399,405,406,410,413,416,439,461,474,475,482,504,506,513,
519,523,538,545,548,698,707,709,711,712,715,717,718,748,762,774,786,788,821,
828,860,870,875,884,889,947,952,1005,1010,1032,1038,1139,1321,1327,1336,1376,
1395,1398,1420,1429,1438,1817],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,27,29,32,
39,41,42,44,47,71,73,75,76,81,84,87,88,90,93,101,103,106,112,115,120,125,126,
144,147,148,150,151,152,153,167,174,176,181,182,184,185,192,197,257,259,263,
264,265,266,269,276,280,296,302,306,310,312,314,315,327,328,334,358,359,382,
386,391,399,405,406,411,433,434,438,445,465,467,501,526,529,543,544,550,563,
570,572,579,698,709,711,712,715,717,718,743,752,772,781,790,800,821,845,855,
875,885,902,931,946,956,966,976,1029,1095,1162,1321,1330,1335,1351,1361,1382,
1401,1426,1435,1818],[1,2,3,5,7,8,13,20,21,24,26,27,28,29,32,35,75,76,81,87,
92,93,94,97,104,115,118,127,128,129,131,138,158,161,165,171,201,257,262,265,
266,268,288,289,299,300,301,304,307,329,333,352,368,371,379,390,399,405,428,
468,536,707,710,714,718,735,783,803,804,809,953,974,992,1030,1319,1328,1333,
1367,1476,1819],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,35,45,71,73,75,
76,79,86,87,88,89,90,93,98,103,105,110,112,120,121,126,129,132,143,144,147,
154,157,158,161,176,179,188,201,258,263,266,267,268,269,285,295,301,302,306,
309,310,314,315,328,331,347,353,356,361,368,374,375,380,391,406,441,540,577,
586,708,713,717,733,741,743,747,758,772,790,791,858,859,888,914,923,1026,1334,
1335,1342,1381,1389,1820],[1,2,3,4,8,13,16,17,18,19,20,24,29,32,73,76,81,83,
84,85,87,91,93,105,106,110,113,118,155,158,166,177,257,259,263,264,266,273,
275,285,286,288,289,296,301,303,377,378,379,396,399,420,464,542,699,710,711,
715,749,785,787,788,804,842,867,996,999,1325,1329,1338,1402,1471,1821],[1,2,3,
4,5,7,8,13,14,15,18,19,20,21,24,26,27,28,29,32,38,43,45,71,75,76,81,83,85,86,
87,88,89,90,91,92,93,94,101,102,104,106,107,113,116,119,122,125,127,128,131,
134,136,137,140,147,154,155,157,158,164,165,170,171,172,179,188,257,264,267,
269,273,275,284,288,292,295,299,300,301,303,304,308,312,313,315,317,329,331,
332,333,334,335,337,350,353,358,362,365,369,371,376,378,379,380,385,395,399,
404,415,421,429,446,457,462,464,469,491,500,518,520,542,546,699,707,708,712,
716,736,748,756,774,788,798,804,842,867,892,893,895,897,932,938,942,954,955,
980,984,995,1007,1025,1323,1336,1337,1402,1408,1417,1442,1632,1822],[1,2,3,5,
8,13,14,15,16,17,20,21,24,27,29,31,32,35,45,71,73,75,76,79,81,84,87,88,90,93,
97,98,99,101,103,106,115,121,125,126,129,132,144,147,154,157,158,161,163,166,
171,176,177,179,188,201,257,258,259,261,262,263,264,265,266,268,269,276,280,
286,287,288,295,296,299,301,302,304,309,312,314,315,317,323,324,334,347,358,
368,375,379,380,399,405,406,420,428,450,458,530,540,578,586,610,618,698,702,
709,711,712,713,715,716,717,718,735,738,744,746,750,758,759,765,769,771,784,
791,804,809,810,821,825,826,827,832,835,840,847,873,875,953,955,974,977,993,
996,1021,1315,1320,1321,1333,1375,1384,1418,1419,1469,1473,1502,1567,1654,
1823],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,34,35,45,69,71,72,73,75,
76,79,81,84,86,87,88,89,90,93,98,100,101,103,105,106,110,115,121,125,126,129,
132,139,144,147,154,157,158,161,163,166,171,176,177,179,188,201,255,257,258,
259,260,263,264,265,266,267,268,269,276,280,285,287,288,295,296,298,299,301,
302,304,309,312,314,315,317,318,322,325,331,334,347,353,358,368,375,379,380,
399,401,405,406,420,428,441,450,458,487,540,555,577,586,604,607,610,618,698,
703,705,706,708,709,711,712,713,715,716,717,718,720,724,726,733,738,742,745,
746,747,758,759,765,766,769,784,791,798,799,804,809,817,821,825,832,840,847,
868,873,875,955,974,977,991,993,994,995,999,1026,1311,1312,1320,1321,1323,
1324,1334,1358,1418,1422,1433,1454,1534,1583,1654,1824],[1,2,3,5,8,13,14,15,
16,17,20,21,24,27,29,32,71,73,75,76,81,84,87,88,90,93,101,103,106,115,125,126,
144,147,176,195,257,259,263,264,265,266,269,276,280,296,302,312,314,315,334,
358,399,405,406,494,495,584,698,709,711,712,715,717,718,821,875,964,986,989,
1321,1391,1410,1472,1825],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,
75,76,81,84,87,88,90,93,101,103,106,115,125,126,141,144,147,176,257,259,263,
264,265,266,269,276,280,296,302,312,314,315,334,339,357,358,366,399,405,406,
698,709,711,712,715,717,718,775,782,802,821,875,1321,1341,1411,1415,1826],[1,
2,3,5,6,8,13,14,15,16,17,20,21,22,23,24,27,29,32,36,71,73,75,76,77,81,82,84,
87,88,90,93,95,96,101,103,106,109,111,114,115,125,126,135,141,144,147,149,168,
176,257,259,263,264,265,266,269,276,279,280,296,302,305,311,312,314,315,319,
320,334,339,346,354,357,358,366,381,399,405,406,423,427,437,448,455,515,571,
581,698,704,709,711,712,715,717,718,725,727,763,775,782,789,802,818,821,875,
879,880,934,968,987,990,1134,1314,1321,1341,1360,1374,1452,1453,1455,1464,
1827],[1,2,3,5,8,13,14,15,20,21,27,29,32,40,45,69,71,72,75,76,84,86,87,88,89,
90,101,115,121,125,132,141,145,154,157,158,179,255,259,265,267,269,276,280,
295,298,301,309,312,318,322,325,330,331,339,353,357,366,367,401,431,450,458,
698,705,706,708,720,724,755,765,775,782,802,817,871,930,951,1039,1312,1339,
1341,1371,1396,1828],[1,2,3,4,5,8,13,18,19,20,21,24,27,29,32,35,75,76,81,83,
85,87,91,93,97,113,115,129,138,155,158,161,171,201,257,262,265,266,268,273,
275,288,299,301,303,304,307,345,368,378,379,388,399,405,428,464,542,699,714,
718,735,761,788,801,804,809,842,867,953,974,1332,1333,1340,1402,1467,1829],[1,
2,3,5,7,8,13,14,15,20,21,24,26,27,28,29,32,37,45,46,71,75,76,81,86,87,88,89,
90,92,93,94,101,104,106,117,118,124,125,127,128,130,131,133,138,142,147,154,
157,158,159,160,165,171,173,175,178,179,188,257,264,267,269,288,289,290,293,
295,299,300,301,304,307,312,315,317,329,331,333,334,336,340,341,342,343,349,
353,358,371,379,380,387,399,403,410,413,416,444,461,468,474,475,482,504,506,
513,519,533,536,545,707,708,710,712,714,716,734,762,773,786,798,804,828,839,
857,947,952,955,992,995,1000,1005,1030,1033,1038,1148,1323,1327,1331,1367,
1383,1421,1462,1588,1830],[1,2,3,5,6,8,13,14,15,20,21,22,23,24,27,29,31,32,35,
36,40,71,75,76,77,79,82,84,87,88,90,93,95,96,98,109,111,114,115,121,129,132,
135,145,147,149,161,163,168,201,214,218,258,259,265,268,269,276,279,280,287,
288,299,305,309,311,315,317,319,320,330,346,347,354,367,368,375,379,381,405,
423,427,431,448,451,455,471,483,573,698,704,713,716,725,727,746,755,759,763,
784,789,809,818,825,876,881,899,930,983,1063,1156,1314,1320,1339,1424,1460,
1504,1528,1831],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,25,27,29,30,31,32,33,35,
39,41,42,44,45,47,71,73,75,76,79,86,87,88,89,90,93,98,103,105,108,110,121,123,
126,129,132,144,146,147,148,150,151,152,153,154,156,157,158,161,167,174,176,
179,181,182,184,185,188,190,192,194,197,198,201,205,208,209,213,216,217,219,
258,263,266,267,268,269,285,295,297,301,302,309,314,315,316,327,331,347,353,
359,368,375,380,382,386,400,406,411,414,424,426,433,434,438,441,456,465,467,
479,501,524,534,540,570,572,577,586,587,589,590,591,595,609,611,612,613,615,
616,708,713,717,731,733,747,752,758,781,791,800,838,845,849,851,855,910,918,
970,1009,1026,1041,1045,1062,1073,1105,1113,1140,1187,1188,1330,1334,1343,
1386,1405,1593,1670,1832],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,40,71,
73,75,76,81,84,87,88,90,93,101,103,106,115,125,126,144,145,147,176,257,259,
263,264,265,266,269,276,280,296,302,312,314,315,330,334,358,367,399,405,406,
431,698,709,711,712,715,717,718,755,821,875,930,1321,1339,1357,1380,1833],[1,
2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,81,84,87,88,90,93,101,
103,106,115,118,125,126,144,147,155,176,257,259,263,264,265,266,269,276,280,
289,296,302,312,314,315,334,358,378,399,405,406,442,472,698,709,710,711,712,
715,717,718,788,821,875,891,1031,1321,1326,1338,1397,1446,1834],[1,2,3,5,8,9,
13,14,15,16,17,20,21,24,27,29,32,39,41,42,44,47,69,71,72,73,75,76,86,87,88,89,
90,93,101,103,121,125,126,132,143,148,150,151,152,153,166,167,174,177,181,182,
184,185,192,197,255,263,266,267,269,288,298,299,302,309,312,314,317,318,327,
356,359,361,374,382,386,401,411,420,428,433,434,438,465,467,501,525,537,554,
570,572,582,703,706,716,717,741,752,766,769,781,799,800,845,855,873,883,900,
922,923,924,939,963,1155,1324,1330,1342,1362,1373,1536,1607,1835],[1,2,3,5,8,
13,14,15,20,21,24,27,29,31,32,35,71,75,76,78,79,80,84,87,88,90,93,98,115,121,
129,132,141,147,161,163,201,258,259,265,268,269,270,276,280,287,288,291,294,
299,309,315,317,339,347,357,366,368,375,379,405,417,698,713,716,721,722,746,
759,775,776,782,784,802,809,822,825,917,1313,1320,1341,1406,1447,1836],[1,2,3,
5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,81,84,87,88,90,93,101,103,
106,115,125,126,138,144,147,155,176,257,259,263,264,265,266,269,276,280,296,
302,307,312,314,315,334,358,378,399,405,406,497,575,698,709,711,712,714,715,
717,718,788,821,875,890,971,1319,1321,1332,1431,1432,1837],[1,2,3,7,13,16,17,
20,26,28,70,73,74,76,81,84,92,94,104,127,128,131,138,155,165,256,257,259,263,
296,300,307,329,333,363,371,378,418,523,538,701,707,714,715,732,780,788,889,
1010,1309,1322,1338,1431,1438,1838],[1,2,3,7,8,13,16,17,20,24,26,28,29,32,73,
76,81,84,87,92,93,94,104,105,106,110,118,127,128,131,138,158,165,166,177,257,
259,263,264,266,285,286,288,289,296,300,301,307,329,333,363,371,379,399,418,
420,444,533,707,710,711,714,715,732,780,787,804,996,999,1000,1033,1322,1325,
1326,1383,1476,1839],[1,2,3,5,7,13,20,21,24,26,27,28,31,75,76,79,81,92,93,94,
98,99,104,115,118,127,128,131,155,163,165,257,258,261,265,266,287,289,299,300,
329,333,352,371,378,390,405,439,548,707,710,718,750,759,783,788,803,884,1032,
1315,1328,1332,1397,1420,1840],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,
73,75,76,81,84,87,88,90,93,101,103,106,115,125,126,144,147,162,169,176,257,
259,263,264,265,266,269,276,280,296,302,312,314,315,334,358,399,402,405,406,
422,531,553,698,709,711,712,715,717,718,821,875,920,1011,1014,1321,1372,1449,
1450,1841],[1,2,3,5,8,13,14,15,20,21,24,27,29,32,45,71,75,76,81,87,88,90,93,
101,106,115,118,121,125,132,147,154,155,157,158,163,179,188,201,257,264,265,
266,269,287,288,289,295,301,309,312,315,317,334,358,365,368,378,379,380,395,
399,405,428,442,450,458,472,710,712,718,748,765,769,774,784,788,791,804,825,
832,840,847,891,1031,1332,1336,1397,1418,1446,1471,1474,1842],[1,2,3,5,8,13,
14,15,20,21,24,27,29,32,45,71,75,76,81,87,88,90,93,101,106,115,118,121,125,
132,138,147,154,155,157,158,163,179,188,201,257,264,265,266,269,287,288,289,
295,301,307,309,312,315,317,334,341,358,368,378,379,380,399,403,405,428,450,
458,497,575,710,712,714,718,734,765,769,773,784,788,791,804,825,832,840,847,
890,971,1319,1331,1397,1418,1432,1467,1476,1843],[1,2,3,5,7,8,9,13,14,15,20,
21,26,27,28,29,32,37,39,40,41,42,44,46,47,71,75,76,78,80,81,87,88,90,92,94,
101,104,106,112,117,120,124,125,127,128,130,131,133,142,145,147,148,150,151,
152,153,159,160,165,167,173,174,175,178,184,197,207,212,257,264,269,270,290,
291,293,294,300,306,310,312,315,327,328,329,330,333,334,336,340,342,343,349,
358,359,367,371,382,386,387,391,410,411,413,416,417,431,433,434,461,474,475,
482,484,504,506,513,516,517,519,529,543,544,545,549,565,569,574,579,583,707,
712,751,752,755,762,767,772,776,786,793,812,828,834,848,853,874,902,903,913,
927,931,945,946,947,952,957,973,1005,1029,1038,1079,1095,1130,1170,1327,1361,
1394,1413,1428,1440,1445,1503,1513,1543,1639,1844],[1,2,3,5,8,13,14,15,16,17,
20,21,24,27,29,31,32,35,45,71,73,75,76,79,86,87,88,89,90,93,98,103,105,110,
121,126,129,132,144,147,154,157,158,161,162,169,176,179,188,195,201,258,263,
266,267,268,269,285,295,301,302,309,314,315,331,347,353,368,375,380,402,406,
422,441,494,495,531,540,553,577,584,586,708,713,717,733,747,758,791,920,964,
986,989,1011,1014,1026,1052,1053,1150,1151,1334,1410,1449,1558,1667,1845],[1,
2,3,5,7,9,13,14,15,20,21,26,27,28,37,39,40,41,42,44,47,71,75,76,84,88,90,104,
112,115,117,120,124,127,128,130,133,142,145,148,150,151,152,153,155,165,167,
174,175,184,197,207,212,259,265,269,276,280,290,293,306,310,327,328,329,330,
336,340,343,359,365,367,378,382,386,387,391,395,410,411,431,433,434,439,445,
523,526,538,548,549,550,563,565,569,583,698,752,755,762,772,774,848,860,870,
884,885,903,913,930,956,966,973,976,1010,1049,1079,1139,1162,1170,1339,1366,
1398,1401,1414,1428,1440,1846],[1,2,3,5,7,8,9,13,14,15,20,21,25,26,27,28,29,
30,32,33,37,39,40,41,42,44,45,47,71,75,76,86,87,88,89,90,104,108,117,118,123,
124,127,128,130,133,138,141,142,145,146,148,150,151,152,153,154,156,157,158,
165,167,174,175,179,184,197,207,209,212,216,217,219,267,269,289,290,293,295,
297,301,307,316,327,329,330,331,336,339,340,341,343,353,357,359,366,367,382,
386,387,400,403,410,411,426,431,433,434,444,468,533,536,549,565,569,583,589,
590,609,612,613,616,708,731,752,755,762,773,775,839,849,857,898,903,907,918,
973,1000,1019,1024,1030,1039,1062,1079,1105,1148,1170,1355,1396,1400,1405,
1416,1421,1440,1847],[1,2,3,5,6,8,13,14,15,16,17,20,21,22,23,24,27,29,31,32,
35,36,40,45,71,73,75,76,77,78,79,80,82,86,87,88,89,90,93,95,96,98,103,105,109,
110,111,114,121,126,129,132,135,141,144,145,147,149,154,157,158,161,168,176,
179,188,201,214,218,258,263,266,267,268,269,270,279,285,291,294,295,301,302,
305,309,311,314,315,330,331,339,346,347,348,353,354,357,360,366,367,368,375,
380,381,393,406,417,423,427,430,431,441,451,471,483,540,573,577,586,708,713,
717,733,747,755,758,763,775,776,791,822,836,852,854,856,876,880,881,899,917,
958,968,983,1026,1039,1063,1334,1396,1399,1406,1424,1459,1464,1848],[1,2,3,4,
5,7,8,13,14,15,18,19,20,21,26,27,28,29,31,32,35,37,38,43,46,71,75,76,78,79,80,
83,85,87,88,90,91,92,94,98,102,104,107,112,113,116,117,119,120,121,122,124,
127,128,129,130,131,132,133,134,136,137,140,141,142,143,147,159,160,161,164,
165,170,172,173,175,178,180,210,258,268,269,270,272,274,284,290,291,292,293,
294,300,303,306,308,309,310,313,315,328,329,335,336,339,340,343,347,355,356,
357,361,362,364,366,373,374,375,383,387,391,404,407,409,410,415,417,443,453,
454,457,469,473,474,475,481,485,488,490,491,496,498,500,505,506,507,519,520,
521,522,532,539,541,545,551,713,729,741,751,756,762,767,772,775,776,793,812,
822,829,833,850,861,864,866,877,888,904,905,906,911,912,914,917,952,972,984,
985,988,998,1013,1088,1099,1118,1181,1363,1389,1393,1406,1407,1445,1470,1509,
1563,1570,1571,1849],[1,2,3,4,5,6,7,8,13,14,15,18,19,20,21,22,23,25,26,27,28,
29,30,32,33,36,37,38,43,46,69,71,72,75,76,77,78,80,82,83,85,86,87,88,89,90,91,
92,94,95,96,101,102,104,107,108,109,111,112,113,114,116,117,119,120,121,122,
123,124,125,127,128,130,131,132,133,134,135,136,137,140,142,146,149,156,159,
160,164,165,168,170,172,173,175,178,183,191,255,267,269,270,271,277,278,279,
281,282,283,284,290,291,292,293,294,297,298,300,303,305,306,308,309,310,311,
312,313,316,318,328,329,335,336,337,338,340,342,343,344,346,348,349,351,354,
360,362,370,372,381,384,385,387,389,391,392,393,397,398,400,401,404,408,410,
413,415,416,417,419,421,423,425,426,427,429,430,432,443,453,454,460,473,490,
496,502,504,506,507,513,514,518,520,532,546,560,566,568,706,719,723,730,731,
737,740,751,753,754,756,757,760,762,763,764,767,768,770,772,776,777,778,779,
792,793,794,795,796,797,805,806,807,808,811,812,813,820,878,882,894,925,935,
936,958,1001,1005,1006,1007,1015,1023,1060,1132,1158,1181,1350,1353,1356,1359,
1364,1378,1385,1387,1388,1409,1436,1444,1445,1451,1475,1850],[1,2,3,5,7,8,13,
14,15,20,21,26,27,28,29,32,37,40,45,71,75,76,86,87,88,89,90,104,112,117,118,
120,124,127,128,130,133,138,141,142,143,145,154,157,158,165,175,179,267,269,
289,290,293,295,301,306,307,310,328,329,330,331,336,339,340,341,343,353,356,
357,361,366,367,374,387,391,403,410,431,444,468,533,536,708,741,755,762,772,
773,775,839,848,857,858,859,909,911,912,913,1000,1016,1030,1039,1148,1381,
1396,1421,1428,1430,1458,1470,1851],[1,2,3,5,7,9,13,14,15,20,21,26,27,28,37,
39,41,42,44,47,71,75,76,78,80,84,88,90,104,112,115,117,120,124,127,128,130,
133,142,148,150,151,152,153,155,165,167,174,175,184,197,259,265,269,270,276,
280,290,291,293,294,306,310,327,328,329,336,340,343,359,365,378,382,386,387,
391,395,410,411,417,433,434,439,445,484,516,517,523,526,538,548,550,563,574,
698,721,722,751,752,762,767,772,774,776,793,812,834,853,860,862,870,884,885,
915,927,929,943,945,956,966,976,1010,1130,1139,1162,1313,1390,1394,1398,1401,
1445,1448,1523,1537,1649,1658,1852],[1,2,3,5,8,9,13,14,15,20,21,24,25,27,29,
30,32,33,39,41,42,44,45,47,71,75,76,81,86,87,88,89,90,93,101,106,108,112,120,
123,125,143,146,147,148,150,151,152,153,154,156,157,158,167,171,174,179,184,
188,197,209,216,217,219,257,264,267,269,288,295,297,299,301,304,306,310,312,
315,316,317,327,328,331,334,353,356,358,359,361,374,379,380,382,386,391,399,
400,411,426,433,434,529,543,544,579,589,590,609,612,613,616,708,712,716,731,
741,752,772,798,804,849,858,859,872,902,908,918,931,946,955,995,1029,1062,
1095,1105,1155,1323,1361,1362,1381,1405,1439,1441,1853],[1,2,3,5,8,9,13,14,15,
16,17,20,21,24,27,29,32,39,41,42,44,47,71,73,75,76,87,88,90,93,97,99,103,121,
126,132,144,148,150,151,152,153,162,163,166,167,169,171,174,176,177,181,182,
184,185,192,197,201,261,262,263,266,269,286,287,299,302,304,309,314,317,323,
324,327,359,368,379,382,386,402,405,406,411,420,422,428,433,434,438,465,467,
501,530,531,553,570,572,578,594,598,599,601,602,603,605,619,702,717,735,738,
750,752,771,781,800,810,825,826,835,845,855,873,920,1011,1014,1076,1098,1100,
1103,1126,1131,1142,1164,1185,1186,1330,1384,1449,1483,1510,1518,1539,1589,
1595,1854],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,26,27,28,29,32,37,38,43,45,46,
69,71,72,75,76,83,84,85,86,87,88,89,90,91,92,94,101,102,104,107,113,115,116,
117,118,119,121,122,124,125,127,128,130,131,132,133,134,136,137,138,140,142,
154,155,157,158,159,160,164,165,170,172,173,175,178,179,255,259,265,267,269,
276,280,281,283,284,289,290,292,293,295,298,300,301,303,307,308,309,312,313,
318,322,325,329,331,335,336,337,338,340,341,342,343,345,349,351,352,353,362,
363,365,372,377,378,384,385,387,388,389,390,392,395,396,401,403,404,410,413,
415,416,418,421,429,439,442,443,444,446,450,453,454,458,462,464,468,472,473,
490,496,497,502,504,506,507,513,514,518,520,523,532,533,536,538,542,546,548,
575,698,705,706,708,719,720,724,732,740,749,756,762,764,765,768,773,774,779,
801,803,817,839,846,857,860,867,870,878,882,884,894,895,901,932,935,936,938,
944,967,971,979,980,1000,1003,1005,1007,1010,1025,1030,1031,1037,1046,1047,
1048,1060,1061,1070,1074,1081,1089,1096,1106,1110,1133,1139,1148,1163,1168,
1173,1175,1181,1312,1387,1398,1403,1421,1442,1443,1492,1505,1592,1602,1617,
1629,1641,1648,1675,1684,1855],[1,2,3,5,6,8,13,14,15,20,21,22,23,27,29,31,32,
34,35,36,40,69,71,72,75,76,77,78,79,80,81,82,86,87,88,89,90,95,96,98,100,101,
106,109,111,114,121,125,129,132,135,139,141,145,147,149,161,168,214,218,255,
257,258,260,264,267,268,269,270,271,277,278,279,282,291,294,298,305,309,311,
312,315,318,330,334,339,346,347,348,354,357,358,360,366,367,375,381,393,401,
417,423,427,430,431,437,451,471,483,487,515,555,571,573,581,706,712,713,723,
726,745,755,760,763,770,775,776,792,805,822,871,874,876,879,881,899,917,925,
934,951,957,958,983,987,990,994,1015,1063,1134,1311,1371,1406,1413,1424,1444,
1455,1491,1517,1525,1540,1856],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,34,
35,45,71,73,75,76,81,84,86,87,88,89,90,93,97,99,100,101,103,105,106,110,115,
121,125,126,129,132,139,144,147,154,157,158,161,163,166,171,176,177,179,188,
201,257,259,260,261,262,263,264,265,266,267,268,269,285,286,287,288,295,296,
299,301,302,304,309,312,314,315,317,322,325,331,334,353,358,368,379,380,399,
405,406,420,428,435,436,441,450,458,487,530,555,577,578,604,607,610,618,705,
708,711,712,715,716,718,728,733,735,742,744,745,746,747,750,765,766,769,771,
784,787,791,798,799,804,809,810,821,825,826,827,832,835,840,847,868,873,875,
953,955,974,977,991,993,995,996,999,1021,1022,1026,1317,1323,1325,1333,1375,
1418,1419,1433,1434,1437,1454,1489,1497,1502,1534,1567,1583,1594,1857],[1,2,3,
5,6,7,8,13,14,15,20,21,22,23,25,26,27,28,29,30,32,33,36,37,46,71,75,76,77,81,
82,87,88,90,92,94,95,96,101,104,106,108,109,111,114,117,123,124,125,127,128,
130,131,133,135,141,142,143,146,147,149,156,159,160,165,168,173,175,178,183,
191,257,264,269,279,290,293,297,300,305,311,312,315,316,329,333,334,336,339,
340,342,343,346,349,354,356,357,358,361,366,371,374,381,387,400,410,413,416,
423,426,427,437,459,460,461,474,475,478,482,504,506,513,515,519,527,545,560,
566,568,571,581,585,707,712,731,737,741,762,763,775,786,794,797,806,828,841,
872,879,898,907,908,911,912,933,934,947,949,952,987,990,1002,1005,1038,1077,
1132,1134,1158,1327,1350,1400,1425,1439,1455,1470,1477,1496,1626,1653,1858],[
1,2,3,4,5,7,8,9,13,14,15,18,19,20,21,25,26,27,28,29,30,31,32,33,35,37,38,39,
41,42,43,44,46,47,71,75,76,78,79,80,83,85,87,88,90,91,92,94,98,102,104,107,
108,113,116,117,119,121,122,123,124,127,128,129,130,131,132,133,134,136,137,
140,141,142,146,147,148,150,151,152,153,156,159,160,161,164,165,167,170,172,
173,174,175,178,180,184,190,194,197,198,205,208,210,213,258,268,269,270,272,
274,284,290,291,292,293,294,297,300,303,308,309,313,315,316,327,329,335,336,
339,340,343,347,355,357,359,362,364,366,373,375,382,383,386,387,400,404,407,
409,410,411,415,417,426,433,434,443,453,454,457,469,473,474,475,479,484,488,
490,491,492,493,496,498,500,506,507,516,517,519,520,524,532,534,545,547,558,
574,587,591,595,611,615,713,729,730,731,752,753,756,762,775,776,777,795,822,
833,834,838,850,853,861,866,877,898,907,910,917,927,940,941,945,952,962,965,
970,972,981,984,988,1009,1017,1099,1130,1140,1181,1363,1378,1386,1394,1400,
1406,1412,1494,1516,1526,1554,1859],[1,2,3,5,8,13,14,15,20,21,25,27,29,30,32,
33,40,69,71,72,75,76,86,87,88,89,90,101,108,112,118,120,121,123,125,132,138,
141,145,146,155,156,255,267,269,289,297,298,306,307,309,310,312,316,318,328,
330,339,341,357,365,366,367,378,391,395,400,401,403,426,431,442,472,497,575,
706,731,754,755,772,773,774,775,778,808,813,871,909,951,967,971,1003,1016,
1031,1048,1093,1371,1403,1409,1414,1416,1458,1465,1860],[1,2,3,5,8,13,14,15,
16,17,20,21,24,25,27,29,30,32,33,70,71,73,74,75,76,87,88,90,93,101,103,105,
108,110,123,125,126,144,146,156,162,166,169,176,177,256,263,266,269,285,286,
288,296,297,302,312,314,316,379,394,399,400,402,405,406,412,414,420,422,424,
426,456,463,531,553,700,701,717,731,739,742,744,766,787,821,826,851,920,937,
996,1008,1011,1014,1020,1028,1343,1365,1449,1564,1579,1861],[1,2,3,5,6,13,20,
21,22,23,24,27,31,36,40,75,76,79,81,93,96,98,99,109,111,114,115,135,141,145,
149,163,168,218,257,258,261,265,266,287,299,366,405,423,427,431,448,455,483,
571,573,581,718,750,759,789,802,876,879,930,968,1156,1315,1357,1453,1504,1552,
1862],[1,2,3,5,8,13,14,15,16,17,20,21,24,25,27,29,30,32,33,71,73,75,76,87,88,
90,93,97,99,103,108,121,123,126,132,144,146,156,163,166,171,176,177,195,201,
261,262,263,266,269,286,287,297,299,302,304,309,314,316,317,323,324,368,379,
400,405,406,414,420,424,426,428,456,494,495,530,578,584,702,717,731,735,738,
750,771,810,825,826,835,851,873,964,986,989,1057,1059,1166,1172,1343,1384,
1410,1555,1578,1863],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,24,26,27,28,29,31,32,
35,37,38,43,46,71,75,76,79,83,84,85,87,88,90,91,92,93,94,98,102,104,107,113,
115,116,117,118,119,121,122,124,127,128,129,130,131,132,133,134,136,137,138,
140,142,147,155,159,160,161,163,164,165,170,172,173,175,178,180,201,210,258,
259,265,268,269,272,274,276,280,284,287,288,289,290,292,293,299,300,303,307,
308,309,313,315,317,329,335,336,340,341,343,345,347,352,355,362,363,364,365,
368,373,375,377,378,379,383,387,388,390,395,396,403,404,405,407,409,410,415,
418,439,443,453,454,457,469,473,474,475,488,490,491,496,498,500,506,507,519,
520,523,532,538,545,548,698,713,716,729,732,746,749,756,759,762,773,774,784,
801,803,809,825,833,842,846,850,860,861,866,870,877,884,890,891,901,942,944,
952,972,979,984,988,992,1010,1033,1099,1139,1181,1320,1363,1398,1404,1417,
1443,1462,1490,1512,1529,1545,1864],[1,2,3,5,8,9,13,14,15,20,21,24,25,27,29,
30,31,32,33,35,39,41,42,44,47,71,75,76,79,84,87,88,90,93,98,108,112,115,120,
121,123,129,132,143,146,147,148,150,151,152,153,156,161,163,167,174,184,190,
194,197,198,201,205,208,213,258,259,265,268,269,276,280,287,288,297,299,306,
309,310,315,316,317,327,328,347,356,359,361,368,374,375,379,382,386,391,400,
405,411,426,433,434,445,479,524,526,534,550,563,587,591,595,611,615,698,713,
716,731,741,746,752,759,772,784,809,825,838,865,885,888,896,910,914,956,966,
970,976,1009,1140,1155,1162,1320,1362,1370,1386,1389,1401,1441,1865],[1,2,3,4,
5,6,7,8,9,13,14,15,18,19,20,21,22,23,26,27,28,29,32,36,38,39,41,42,43,44,47,
48,49,71,75,76,77,81,82,83,85,87,88,90,91,92,94,95,96,101,102,104,106,107,109,
111,112,113,114,116,119,120,122,125,127,128,131,134,135,136,137,140,141,147,
148,149,150,151,152,153,164,165,167,168,170,172,174,184,189,193,196,197,199,
200,202,203,204,211,215,257,264,269,273,275,279,284,292,300,303,305,306,308,
310,311,312,313,315,327,328,329,332,333,334,335,337,339,344,346,350,354,357,
358,359,362,366,369,370,371,376,381,382,385,386,391,397,398,404,408,411,415,
419,421,423,425,427,429,432,433,434,437,440,447,449,452,457,469,477,489,491,
492,493,499,500,508,509,510,511,515,518,520,521,522,528,529,539,543,544,546,
547,551,558,559,561,562,567,571,579,581,592,596,597,608,614,617,699,707,712,
736,752,756,757,763,772,775,796,807,811,820,829,830,879,887,892,893,897,902,
905,919,921,931,934,940,941,946,954,959,960,961,962,965,981,982,984,985,987,
990,1001,1006,1007,1013,1017,1023,1029,1035,1055,1067,1075,1082,1085,1088,
1095,1101,1107,1108,1111,1117,1123,1134,1135,1171,1176,1178,1182,1183,1184,
1337,1361,1368,1388,1393,1412,1455,1498,1532,1557,1561,1635,1636,1640,1642,
1674,1680,1866],[1,2,3,5,7,13,14,15,20,21,25,26,27,28,30,33,37,71,75,76,84,88,
90,104,108,115,117,123,124,127,128,130,133,141,142,143,146,155,156,165,175,
259,265,269,276,280,290,293,297,316,329,336,339,340,343,356,357,361,365,366,
374,378,387,395,400,410,426,439,523,538,548,698,731,741,762,774,775,782,802,
860,865,870,884,896,898,907,911,912,1010,1093,1139,1341,1352,1370,1398,1400,
1465,1470,1867],[1,2,3,5,6,7,8,9,13,14,15,20,21,22,23,25,26,27,28,29,30,32,33,
36,37,39,41,42,44,45,47,71,75,76,77,78,80,82,86,87,88,89,90,95,96,104,108,109,
111,114,117,118,123,124,127,128,130,133,135,138,142,146,148,149,150,151,152,
153,154,156,157,158,165,167,168,174,175,179,183,184,191,197,209,216,217,219,
267,269,270,279,289,290,291,293,294,295,297,301,305,307,311,316,327,329,331,
336,340,341,343,346,348,353,354,359,360,381,382,386,387,393,400,403,410,411,
417,423,426,427,430,433,434,444,460,468,480,484,516,517,533,535,536,557,560,
566,568,574,576,589,590,609,612,613,616,708,731,737,752,762,763,773,776,794,
797,806,823,834,836,837,839,844,849,852,853,854,856,857,869,918,926,927,928,
945,958,1000,1030,1062,1105,1130,1132,1137,1148,1158,1350,1394,1405,1421,1456,
1457,1459,1506,1535,1604,1659,1868],[1,2,3,7,13,16,17,20,26,28,73,76,81,84,92,
94,104,127,128,131,138,141,165,195,257,259,263,296,300,307,329,333,363,366,
371,418,584,707,714,715,732,780,782,986,1322,1415,1472,1869],[1,2,3,5,7,13,14,
15,20,21,24,25,26,27,28,30,33,37,71,75,76,78,80,88,90,93,104,108,112,117,118,
120,123,124,127,128,130,133,138,141,142,146,156,165,175,269,270,288,289,290,
291,293,294,297,299,306,307,310,316,317,328,329,336,339,340,341,343,357,366,
387,391,400,403,410,417,426,716,731,751,762,767,772,773,775,776,793,812,823,
869,898,907,909,992,1016,1033,1400,1441,1445,1447,1457,1458,1462,1870],[1,2,3,
5,7,13,20,21,24,26,27,28,40,75,76,81,92,93,94,104,115,118,127,128,131,145,162,
165,169,257,265,266,289,300,329,333,352,371,390,405,431,553,707,710,718,783,
803,930,1011,1328,1357,1372,1871],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,
24,26,27,28,29,31,32,35,37,38,43,45,46,71,73,75,76,79,83,85,86,87,88,89,90,91,
92,93,94,98,102,103,104,105,107,110,113,116,117,118,119,121,122,124,126,127,
128,129,130,131,132,133,134,136,137,138,140,142,144,147,154,155,157,158,159,
160,161,164,165,170,172,173,175,176,178,179,180,188,201,210,258,263,266,267,
268,269,272,274,284,285,289,290,292,293,295,300,301,302,303,307,308,309,313,
314,315,329,331,335,336,340,341,343,347,353,355,362,364,365,368,373,375,378,
380,383,387,395,403,404,406,407,409,410,415,441,443,444,446,453,454,457,462,
464,468,469,473,474,475,488,490,491,496,498,500,506,507,519,520,532,533,536,
540,542,545,577,586,708,713,717,729,733,747,756,758,761,762,773,774,780,783,
785,791,833,839,850,857,861,866,867,877,889,890,891,895,932,938,952,972,980,
984,988,1000,1025,1026,1030,1032,1099,1148,1181,1334,1363,1395,1404,1421,1427,
1442,1493,1501,1553,1612,1872],[1,2,3,4,5,7,13,14,15,18,19,20,21,25,26,27,28,
30,33,38,40,71,75,76,83,84,85,88,90,91,92,94,102,107,108,113,115,116,118,119,
122,123,128,131,134,136,137,138,143,145,146,156,186,187,259,265,269,276,280,
284,289,292,297,300,303,307,308,313,316,330,335,341,345,352,356,361,362,363,
367,374,377,388,390,396,400,403,404,415,418,426,431,470,476,486,512,698,731,
732,741,749,755,756,773,801,803,831,843,846,865,896,901,930,944,948,950,969,
979,997,1054,1339,1370,1379,1392,1416,1430,1443,1873],[1,2,3,5,8,13,14,15,20,
21,25,27,29,30,32,33,40,71,75,76,78,80,81,87,88,90,101,106,108,118,123,125,
138,143,145,146,147,156,257,264,269,270,289,291,294,297,307,312,315,316,330,
334,341,356,358,361,367,374,400,403,417,426,431,710,712,714,731,734,741,755,
773,776,823,869,872,874,908,916,957,1018,1331,1413,1416,1423,1430,1439,1457,
1874],[1,2,3,5,7,9,13,14,15,16,17,20,21,24,26,27,28,37,39,40,41,42,44,47,71,
73,75,76,78,80,88,90,93,103,104,117,124,126,127,128,130,133,142,145,148,150,
151,152,153,155,165,167,174,175,181,182,184,185,192,197,207,212,263,266,269,
270,290,291,293,294,302,314,327,329,330,336,340,343,359,365,367,378,382,386,
387,395,410,411,417,431,433,434,438,465,467,484,501,516,517,549,565,569,570,
572,574,583,717,752,755,762,774,776,781,800,834,845,853,855,862,889,903,927,
929,945,973,1032,1049,1079,1130,1170,1330,1366,1390,1394,1395,1399,1440,
1875],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,24,26,27,28,29,32,38,43,45,71,75,76,
81,83,85,87,88,90,91,92,93,94,101,102,104,106,107,113,115,116,119,121,122,125,
127,128,131,132,134,136,137,138,140,147,154,155,157,158,163,164,165,170,172,
179,188,201,257,264,265,266,269,273,275,284,287,288,292,295,300,301,303,307,
308,309,312,313,315,317,329,332,333,334,335,337,345,350,358,362,368,369,371,
376,378,379,380,385,388,399,404,405,415,421,428,429,439,450,457,458,464,468,
469,491,497,500,518,520,536,542,546,548,575,699,707,712,714,718,736,756,761,
765,769,784,788,791,801,804,825,832,840,842,847,867,884,890,892,893,897,954,
971,984,992,1007,1030,1032,1089,1096,1163,1173,1337,1340,1367,1402,1418,1420,
1432,1529,1612,1617,1644,1876],[1,2,3,5,6,7,9,13,14,15,20,21,22,23,24,26,27,
28,36,37,39,40,41,42,44,47,71,75,76,77,82,88,90,93,95,96,104,109,111,114,117,
118,124,127,128,130,133,135,138,142,143,145,148,149,150,151,152,153,165,167,
168,174,175,184,197,207,212,269,279,288,289,290,293,299,305,307,311,317,327,
329,330,336,340,341,343,346,354,356,359,361,367,374,381,382,386,387,403,410,
411,423,427,431,433,434,459,478,480,527,535,549,557,565,569,576,583,585,716,
741,752,755,762,763,773,837,841,844,903,926,928,933,949,973,992,1002,1033,
1077,1079,1137,1155,1156,1170,1362,1425,1430,1440,1456,1460,1462,1877],[1,2,3,
4,5,6,7,8,13,14,15,18,19,20,21,22,23,26,27,28,29,32,36,38,45,71,75,76,77,78,
80,82,83,85,86,87,88,89,90,91,92,94,95,96,102,107,109,111,112,113,114,116,119,
120,122,128,131,134,135,136,137,143,149,154,155,157,158,168,179,267,269,270,
279,284,291,292,294,295,300,301,303,305,306,308,310,311,313,328,331,335,344,
346,348,353,354,356,360,361,362,365,370,374,378,381,391,393,395,397,398,404,
408,415,417,419,423,425,427,430,432,446,462,464,481,485,505,541,542,708,741,
756,757,763,772,774,776,796,807,811,820,836,852,854,856,858,859,864,867,895,
904,906,915,932,938,943,958,975,978,980,998,1001,1006,1023,1025,1118,1381,
1388,1407,1442,1448,1459,1468,1620,1622,1624,1634,1878],[1,2,3,4,5,7,8,13,14,
15,18,19,20,21,26,27,28,29,32,38,40,45,71,75,76,83,85,86,87,88,89,90,91,92,94,
102,107,112,113,116,119,120,122,128,131,134,136,137,141,143,145,154,155,157,
158,179,267,269,284,292,295,300,301,303,306,308,310,313,328,330,331,335,339,
353,356,357,361,362,365,366,367,374,378,391,395,404,415,431,446,462,464,521,
522,539,542,551,708,741,755,756,772,774,775,829,831,858,859,867,895,905,932,
938,950,980,985,1013,1025,1039,1088,1352,1381,1392,1393,1396,1414,1442,1879],[
1,2,3,5,6,13,20,21,22,23,24,27,36,75,76,81,93,96,109,111,114,115,135,141,149,
155,162,168,169,257,265,266,366,378,405,423,427,448,455,553,571,581,718,788,
789,802,879,968,1011,1332,1372,1453,1880],[1,2,3,4,5,7,9,13,14,15,18,19,20,21,
24,26,27,28,38,39,41,42,44,47,71,75,76,78,80,83,85,88,90,91,92,93,94,102,107,
113,116,119,122,128,131,134,136,137,141,143,148,150,151,152,153,155,167,174,
184,197,269,270,284,288,291,292,294,299,300,303,308,313,317,327,335,339,356,
357,359,361,362,365,366,374,378,382,386,395,404,411,415,417,433,434,481,485,
492,493,505,541,547,558,716,741,752,756,774,775,776,842,862,864,904,906,929,
940,941,942,962,965,981,998,1017,1118,1155,1352,1362,1390,1407,1412,1417,1447,
1881],[1,2,3,4,5,7,8,9,13,14,15,18,19,20,21,25,26,27,28,29,30,32,33,38,39,40,
41,42,44,45,47,71,75,76,83,85,86,87,88,89,90,91,92,94,102,107,108,113,116,119,
122,123,128,131,134,136,137,141,145,146,148,150,151,152,153,154,155,156,157,
158,167,174,179,184,186,187,197,209,216,217,219,267,269,284,292,295,297,300,
301,303,308,313,316,327,330,331,335,339,353,357,359,362,365,366,367,378,382,
386,395,400,404,411,415,426,431,433,434,446,462,464,470,476,486,492,493,512,
542,547,558,589,590,609,612,613,616,708,731,752,755,756,774,775,843,849,867,
895,918,932,938,940,941,948,962,965,969,980,981,997,1017,1025,1039,1049,1054,
1062,1093,1105,1366,1379,1396,1405,1412,1442,1465,1683,1690,1882],[1,2,3,4,5,
6,7,8,9,13,14,15,18,19,20,21,22,23,26,27,28,29,32,36,37,38,39,41,42,43,44,46,
47,48,49,69,71,72,75,76,77,78,80,82,83,85,86,87,88,89,90,91,92,94,95,96,101,
102,104,107,109,111,113,114,116,117,119,121,122,124,125,127,128,130,131,132,
133,134,135,136,137,140,142,143,148,149,150,151,152,153,159,160,164,165,167,
168,170,172,173,174,175,178,184,189,193,196,197,199,200,202,203,204,211,215,
255,267,269,270,271,277,278,279,281,282,283,284,290,291,292,293,294,298,300,
303,305,308,309,311,312,313,318,327,329,335,336,337,338,340,342,343,346,348,
349,351,354,356,359,360,361,362,372,374,381,382,384,385,386,387,389,392,393,
401,404,410,411,413,415,416,417,421,423,427,429,430,433,434,440,443,447,449,
452,453,454,459,473,477,478,481,484,485,489,490,496,499,502,504,505,506,507,
508,509,510,511,513,514,516,517,518,520,525,527,528,532,537,541,546,554,559,
561,562,567,574,582,585,592,596,597,608,614,617,706,719,723,740,741,752,756,
760,762,763,764,768,770,776,779,792,805,830,834,841,853,864,878,882,883,887,
894,900,904,906,919,921,922,924,925,927,933,935,936,939,945,949,958,959,960,
961,963,982,998,1002,1005,1007,1015,1043,1050,1055,1060,1065,1075,1077,1080,
1092,1104,1107,1115,1116,1118,1122,1130,1149,1152,1157,1160,1174,1177,1179,
1181,1368,1373,1387,1394,1407,1425,1444,1480,1486,1507,1515,1533,1547,1613,
1657,1686,1691,1883],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,
32,37,38,43,46,69,71,72,73,75,76,83,85,86,87,88,89,90,91,92,93,94,101,102,103,
104,107,113,116,117,118,119,121,122,124,125,126,127,128,130,131,132,133,134,
136,137,138,140,142,155,159,160,164,165,166,170,172,173,175,177,178,255,263,
266,267,269,281,283,284,288,289,290,292,293,298,299,300,302,303,307,308,309,
312,313,314,317,318,329,335,336,337,338,340,341,342,343,349,351,362,365,372,
378,384,385,387,389,392,395,401,403,404,410,413,415,416,420,421,428,429,442,
443,453,454,472,473,490,496,497,502,504,506,507,513,514,518,520,532,546,575,
703,706,716,717,719,740,756,761,762,764,766,768,769,773,774,779,780,783,785,
799,842,873,878,882,889,894,935,936,942,967,971,992,1003,1005,1007,1031,1032,
1033,1048,1060,1181,1324,1387,1395,1403,1417,1427,1462,1573,1644,1655,1656,
1884],[1,2,3,4,5,6,7,13,14,15,18,19,20,21,22,23,24,25,26,27,28,30,33,36,38,40,
71,75,76,77,82,83,85,88,90,91,92,93,94,95,96,102,107,108,109,111,112,113,114,
116,119,120,122,123,128,131,134,135,136,137,145,146,149,155,156,168,186,187,
269,279,284,288,292,297,299,300,303,305,306,308,310,311,313,316,317,328,330,
335,344,346,354,362,365,367,370,378,381,391,395,397,398,400,404,408,415,419,
423,425,426,427,431,432,470,476,486,512,716,731,755,756,757,763,772,774,796,
807,811,820,842,843,863,942,948,969,997,1001,1006,1012,1023,1054,1156,1379,
1388,1414,1417,1441,1460,1463,1885],[1,2,3,5,7,8,13,14,15,16,17,20,21,24,26,
27,28,29,32,37,46,71,73,75,76,81,84,87,88,90,92,93,94,101,104,105,106,110,117,
124,125,127,128,130,131,133,138,142,144,147,155,158,159,160,165,166,173,175,
176,177,178,257,259,263,264,269,285,288,290,293,296,300,301,302,307,312,315,
322,325,329,333,334,336,340,342,343,349,358,363,371,378,379,387,399,405,406,
410,413,416,418,420,446,461,462,468,474,475,482,497,504,506,513,519,523,536,
538,545,575,705,707,712,714,715,732,733,742,746,762,766,780,786,788,804,821,
828,889,890,942,947,952,971,977,980,992,999,1005,1010,1030,1037,1038,1061,
1070,1106,1322,1327,1367,1408,1432,1433,1438,1490,1493,1573,1641,1886],[1,2,3,
4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,32,38,43,71,73,75,76,81,83,
84,85,87,88,90,91,92,93,94,101,102,104,105,106,107,110,113,116,118,119,122,
125,127,128,131,134,136,137,140,144,147,155,158,164,165,166,170,172,176,177,
257,259,263,264,269,273,275,284,285,288,289,292,296,300,301,302,303,308,312,
313,315,322,325,329,332,333,334,335,337,350,358,362,369,371,376,377,378,379,
385,396,399,404,405,406,415,420,421,429,442,444,457,464,469,472,491,500,518,
520,523,533,538,542,546,699,705,707,710,712,715,733,736,742,746,749,756,766,
785,788,804,821,842,867,889,891,892,893,897,954,977,984,999,1000,1007,1010,
1031,1033,1047,1074,1133,1175,1329,1337,1383,1402,1433,1438,1446,1545,1553,
1648,1655,1887],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,70,71,73,74,75,76,
87,88,90,93,101,103,105,110,112,120,125,126,144,166,176,177,195,256,263,266,
269,285,286,288,296,302,306,310,312,314,328,379,391,394,399,405,406,412,420,
463,494,495,584,700,701,717,739,742,743,744,766,772,787,790,821,826,964,986,
989,996,1335,1365,1410,1666,1669,1888],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,
29,32,69,71,72,73,75,76,86,87,88,89,90,93,101,103,121,125,126,132,162,166,169,
177,195,255,263,266,267,269,288,298,299,302,309,312,314,317,318,401,402,420,
422,428,494,495,531,553,584,703,706,716,717,766,769,799,873,920,964,986,989,
1011,1014,1324,1410,1449,1645,1662,1889],[1,2,3,5,8,13,14,15,16,17,20,21,24,
27,29,32,70,71,73,74,75,76,87,88,90,93,101,103,105,110,125,126,143,144,162,
166,169,176,177,256,263,266,269,285,286,288,296,302,312,314,356,361,374,379,
394,399,402,405,406,412,420,422,463,531,553,700,701,717,739,741,742,744,766,
787,821,826,920,923,996,1011,1014,1342,1365,1449,1650,1651,1890],[1,2,3,5,6,7,
8,13,14,15,20,21,22,23,26,27,28,29,32,36,37,45,71,75,76,77,78,80,82,86,87,88,
89,90,95,96,104,109,111,112,114,117,118,120,124,127,128,130,133,135,138,142,
143,149,154,157,158,165,168,175,179,267,269,270,279,289,290,291,293,294,295,
301,305,306,307,310,311,328,329,331,336,340,341,343,346,348,353,354,356,360,
361,374,381,387,391,393,403,410,417,423,427,430,444,459,468,478,527,533,536,
552,556,564,580,585,708,741,751,762,763,767,772,773,776,793,812,824,836,839,
841,852,854,856,857,858,859,886,916,933,949,958,1000,1002,1004,1018,1027,1030,
1077,1087,1148,1381,1421,1423,1425,1445,1459,1461,1549,1598,1631,1665,1891],[
1,2,3,7,8,13,16,17,20,24,26,28,29,32,73,76,81,84,87,92,93,94,104,105,106,110,
127,128,131,138,155,158,165,166,177,257,259,263,264,266,285,286,288,296,300,
301,307,329,333,371,378,379,399,420,446,462,468,523,536,538,707,711,714,715,
787,788,804,889,942,980,992,996,999,1010,1030,1325,1367,1408,1431,1438,1467,
1474,1892],[1,2,3,5,6,13,20,21,22,23,24,27,36,75,76,81,93,96,109,111,114,115,
135,138,141,149,162,168,169,257,265,266,307,366,405,423,427,448,455,553,571,
581,714,718,789,802,879,968,1011,1319,1372,1453,1893],[1,2,3,5,6,7,13,14,15,
16,17,20,21,22,23,24,26,27,28,36,37,71,73,75,76,77,82,88,90,93,95,96,103,104,
109,111,114,117,124,126,127,128,130,133,135,141,142,143,149,155,165,168,175,
263,266,269,279,290,293,302,305,311,314,329,336,339,340,343,346,354,356,357,
361,365,366,374,378,381,387,395,410,423,427,459,478,527,585,717,741,762,763,
774,775,841,880,889,911,912,923,933,949,968,975,978,1002,1032,1077,1342,1352,
1395,1425,1464,1468,1470,1894],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,
23,24,26,27,28,36,38,71,73,75,76,77,82,83,85,88,90,91,92,93,94,95,96,102,103,
107,109,111,112,113,114,116,118,119,120,122,126,128,131,134,135,136,137,138,
141,149,168,263,266,269,279,284,289,292,300,302,303,305,306,307,308,310,311,
313,314,328,335,339,341,344,346,354,357,362,366,370,381,391,397,398,403,404,
408,415,419,423,425,427,432,521,522,539,551,552,556,564,580,717,743,756,757,
761,763,772,773,775,780,783,785,790,796,807,811,820,824,829,880,886,905,909,
968,985,1001,1004,1006,1013,1016,1023,1027,1087,1088,1335,1388,1393,1427,1458,
1461,1464,1591,1608,1611,1623,1895],[1,2,3,5,7,13,14,15,16,17,20,21,24,26,27,
28,37,40,71,73,75,76,78,80,88,90,93,103,104,112,117,120,124,126,127,128,130,
133,142,145,155,165,175,263,266,269,270,290,291,293,294,302,306,310,314,328,
329,330,336,340,343,365,367,378,387,391,395,410,417,431,717,743,751,755,762,
767,772,774,776,790,793,812,848,889,913,915,943,1032,1335,1395,1399,1414,1428,
1445,1448,1896],[1,2,3,4,5,13,18,19,20,21,24,27,40,75,76,81,83,85,91,93,113,
115,138,145,162,169,257,265,266,273,275,303,307,345,388,405,431,553,699,714,
718,761,801,930,1011,1340,1357,1372,1897],[1,2,3,5,9,13,20,21,24,27,39,40,47,
75,76,81,93,112,115,120,138,145,151,153,174,182,185,257,265,266,307,328,405,
411,431,445,543,544,563,570,714,718,790,800,930,966,1029,1319,1357,1426,
1898],[1,2,3,5,9,13,20,21,24,27,39,40,47,75,76,81,93,112,115,120,145,151,153,
155,174,182,185,257,265,266,328,378,405,411,431,445,543,544,563,570,718,788,
790,800,930,966,1029,1332,1357,1426,1899],[1,2,3,5,8,9,13,14,15,20,21,25,27,
29,30,32,33,39,41,42,44,45,47,69,71,72,75,76,84,86,87,88,89,90,101,108,112,
115,120,121,123,125,132,143,146,148,150,151,152,153,154,156,157,158,167,174,
179,184,197,209,216,217,219,255,259,265,267,269,276,280,295,297,298,301,306,
309,310,312,316,318,322,325,327,328,331,353,356,359,361,374,382,386,391,400,
401,411,426,433,434,445,450,458,525,526,537,550,554,563,582,589,590,609,612,
613,616,698,705,706,708,720,724,731,741,752,754,765,772,778,808,813,817,849,
858,859,865,883,885,896,900,918,922,924,939,956,963,966,976,1062,1105,1162,
1312,1370,1373,1381,1401,1405,1409,1538,1575,1581,1587,1900],[1,2,3,5,6,8,13,
14,15,20,21,22,23,27,29,31,32,35,36,40,71,75,76,77,79,82,87,88,90,95,96,98,
109,111,112,114,118,120,121,129,132,135,138,143,145,147,149,155,161,168,214,
218,258,268,269,279,289,305,306,307,309,310,311,315,328,330,341,346,347,354,
356,361,365,367,374,375,378,381,391,395,403,423,427,431,451,471,483,552,556,
564,573,580,713,741,755,763,772,773,774,824,876,881,886,888,890,891,899,914,
975,978,983,1004,1027,1063,1087,1389,1404,1414,1424,1430,1461,1468,1901],[1,2,
3,9,13,16,17,20,39,47,73,76,81,84,112,118,120,141,151,153,174,181,192,257,259,
263,289,296,328,366,411,526,543,544,550,572,710,715,743,781,782,976,1029,1326,
1415,1435,1902],[1,2,3,4,5,6,7,8,13,14,15,18,19,20,21,22,23,26,27,28,29,31,32,
35,36,37,38,40,43,46,71,75,76,77,79,82,83,85,87,88,90,91,92,94,95,96,98,102,
104,107,109,111,112,113,114,116,117,119,120,121,122,124,127,128,129,130,131,
132,133,134,135,136,137,140,142,143,145,147,149,159,160,161,164,165,168,170,
172,173,175,178,180,210,214,218,258,268,269,272,274,279,284,290,292,293,300,
303,305,306,308,309,310,311,313,315,328,329,330,335,336,340,343,344,346,347,
354,355,356,361,362,364,367,370,373,374,375,381,383,387,391,397,398,404,407,
408,409,410,415,419,423,425,427,431,432,443,451,453,454,457,459,469,471,473,
474,475,478,483,488,490,491,496,498,500,506,507,519,520,527,532,545,573,585,
713,729,741,755,756,757,762,763,772,796,807,811,820,831,833,841,848,850,861,
866,876,877,881,888,899,913,914,933,949,950,952,972,983,984,988,1001,1002,
1006,1023,1063,1077,1099,1181,1363,1388,1389,1392,1424,1425,1428,1500,1511,
1599,1627,1903],[1,2,3,5,8,9,13,14,15,20,21,25,27,29,30,31,32,33,34,35,39,41,
42,44,47,69,71,72,75,76,79,81,86,87,88,89,90,98,100,101,106,108,112,120,121,
123,125,129,132,139,143,146,147,148,150,151,152,153,156,161,167,174,184,190,
194,197,198,205,208,213,255,257,258,260,264,267,268,269,297,298,306,309,310,
312,315,316,318,327,328,334,347,356,358,359,361,374,375,382,386,391,400,401,
411,426,433,434,479,487,524,525,529,534,537,543,544,554,555,579,582,587,591,
595,611,615,706,712,713,726,731,741,745,752,754,772,778,808,813,838,872,883,
888,900,902,908,910,914,922,924,931,939,946,963,970,994,1009,1029,1095,1140,
1311,1361,1373,1386,1389,1409,1439,1478,1484,1495,1514,1904],[1,2,3,4,5,6,7,8,
9,13,14,15,18,19,20,21,22,23,25,26,27,28,29,30,32,33,36,38,39,41,42,44,45,47,
48,49,71,75,76,77,78,80,82,83,85,86,87,88,89,90,91,92,94,95,96,102,107,108,
109,111,113,114,116,119,122,123,128,131,134,135,136,137,146,148,149,150,151,
152,153,154,155,156,157,158,167,168,174,179,184,189,193,196,197,199,200,202,
203,204,209,211,215,216,217,219,267,269,270,279,284,291,292,294,295,297,300,
301,303,305,308,311,313,316,327,331,335,346,348,353,354,359,360,362,365,378,
381,382,386,393,395,400,404,411,415,417,423,426,427,430,433,434,440,446,447,
449,452,462,464,477,489,499,508,509,510,511,528,542,559,561,562,567,589,590,
592,596,597,608,609,612,613,614,616,617,708,730,731,752,753,756,763,774,776,
777,795,830,836,849,852,854,856,862,863,867,887,895,918,919,921,929,932,938,
958,959,960,961,980,982,1012,1025,1055,1062,1075,1105,1107,1368,1378,1390,
1405,1442,1459,1463,1521,1560,1582,1605,1905],[1,2,3,4,5,6,7,9,13,14,15,16,17,
18,19,20,21,22,23,24,26,27,28,36,38,39,41,42,44,47,48,49,71,73,75,76,77,82,83,
85,88,90,91,92,93,94,95,96,102,103,107,109,111,113,114,116,118,119,122,126,
128,131,134,135,136,137,138,141,148,149,150,151,152,153,167,168,174,181,182,
184,185,189,192,193,196,197,199,200,202,203,204,211,215,263,266,269,279,284,
289,292,300,302,303,305,307,308,311,313,314,327,335,339,341,346,354,357,359,
362,366,381,382,386,403,404,411,415,423,427,433,434,438,440,447,449,452,465,
467,477,480,489,492,493,499,501,508,509,510,511,528,535,547,557,558,559,561,
562,567,570,572,576,592,596,597,608,614,617,717,752,756,761,763,773,775,780,
781,783,785,800,830,837,844,845,855,880,887,919,921,926,928,940,941,959,960,
961,962,965,968,981,982,1017,1019,1024,1055,1075,1107,1137,1330,1355,1368,
1412,1427,1456,1464,1628,1637,1647,1661,1906],[1,2,3,5,7,8,13,20,21,24,26,27,
28,29,32,35,75,76,81,87,92,93,94,97,104,115,118,127,128,129,131,155,158,161,
165,171,201,257,262,265,266,268,288,289,299,300,301,304,329,333,368,371,378,
379,399,405,428,439,444,446,462,533,548,707,710,718,735,788,804,809,884,942,
953,974,980,1000,1032,1033,1333,1383,1397,1408,1420,1471,1474,1907],[1,2,3,4,
5,6,7,9,13,14,15,18,19,20,21,22,23,26,27,28,36,38,39,41,42,44,47,48,49,71,75,
76,77,82,83,84,85,88,90,91,92,94,95,96,102,107,109,111,112,113,114,115,116,
118,119,120,122,128,131,134,135,136,137,138,148,149,150,151,152,153,167,168,
174,184,189,193,196,197,199,200,202,203,204,211,215,259,265,269,276,279,280,
284,289,292,300,303,305,306,307,308,310,311,313,319,320,327,328,335,341,344,
345,346,352,354,359,362,363,370,377,381,382,386,388,390,391,396,397,398,403,
404,408,411,415,418,419,423,425,427,432,433,434,440,445,447,448,449,452,455,
477,480,489,499,508,509,510,511,526,528,535,550,552,556,557,559,561,562,563,
564,567,576,580,592,596,597,608,614,617,698,704,725,727,732,749,752,756,757,
763,772,773,789,796,801,803,807,811,818,820,824,830,837,844,846,885,886,887,
901,919,921,926,928,944,956,959,960,961,966,976,979,982,1001,1004,1006,1023,
1027,1040,1042,1044,1055,1058,1064,1068,1075,1084,1086,1087,1107,1109,1112,
1120,1124,1127,1129,1137,1154,1162,1165,1314,1368,1388,1401,1443,1456,1461,
1544,1546,1614,1615,1616,1630,1638,1664,1673,1679,1908],[1,2,3,5,8,13,14,15,
20,21,24,27,29,31,32,35,40,71,75,76,79,84,87,88,90,93,98,115,121,129,132,141,
145,147,161,163,201,258,259,265,268,269,276,280,287,288,299,309,315,317,330,
339,347,357,366,367,368,375,379,405,431,698,713,716,746,755,759,775,782,784,
802,809,825,930,1320,1339,1341,1530,1552,1909],[1,2,3,5,6,7,13,14,15,16,17,20,
21,22,23,24,25,26,27,28,30,33,36,37,71,73,75,76,77,82,88,90,93,95,96,103,104,
108,109,111,114,117,123,124,126,127,128,130,133,135,141,142,146,149,155,156,
165,168,175,183,191,263,266,269,279,290,293,297,302,305,311,314,316,329,336,
339,340,343,346,354,357,365,366,378,381,387,395,400,410,414,423,424,426,427,
456,460,560,566,568,717,731,737,762,763,774,775,794,797,806,851,863,880,889,
898,907,968,1012,1032,1093,1132,1158,1343,1350,1395,1400,1463,1464,1465,
1910],[1,2,3,4,5,7,13,14,15,16,17,18,19,20,21,24,25,26,27,28,30,33,38,40,71,
73,75,76,78,80,83,85,88,90,91,92,93,94,102,103,107,108,113,116,118,119,122,
123,126,128,131,134,136,137,138,145,146,156,186,187,263,266,269,270,284,289,
291,292,294,297,300,302,303,307,308,313,314,316,330,335,341,362,367,400,403,
404,414,415,417,424,426,431,456,470,476,486,512,717,730,731,753,755,756,761,
773,776,777,780,783,785,795,823,843,851,869,948,969,997,1054,1343,1378,1379,
1399,1416,1427,1457,1911],[1,2,3,5,6,8,13,14,15,20,21,22,23,24,27,29,32,36,40,
45,71,75,76,77,78,80,81,82,86,87,88,89,90,93,95,96,101,106,109,111,114,125,
135,141,145,147,149,154,157,158,168,171,179,188,257,264,267,269,270,279,288,
291,294,295,299,301,304,305,311,312,315,317,330,331,334,339,346,348,353,354,
357,358,360,366,367,379,380,381,393,399,417,423,427,430,431,437,515,571,581,
708,712,716,755,763,775,776,798,804,836,852,854,856,874,879,934,955,957,958,
987,990,995,1039,1134,1156,1323,1396,1413,1447,1455,1459,1460,1912],[1,2,3,5,
8,13,14,15,20,21,24,27,29,32,45,71,75,76,81,86,87,88,89,90,93,101,106,118,125,
138,147,154,155,157,158,171,179,188,257,264,267,269,288,289,295,299,301,304,
307,312,315,317,331,334,353,358,378,379,380,399,442,472,497,575,708,710,712,
714,716,788,798,804,890,891,955,971,995,1031,1323,1432,1446,1467,1471,1474,
1476,1913],[1,2,3,5,6,7,13,14,15,20,21,22,23,24,25,26,27,28,30,33,36,37,40,71,
75,76,77,82,88,90,93,95,96,104,108,109,111,112,114,117,118,120,123,124,127,
128,130,133,135,138,142,145,146,149,156,165,168,175,183,191,269,279,288,289,
290,293,297,299,305,306,307,310,311,316,317,328,329,330,336,340,341,343,346,
354,367,381,387,391,400,403,410,423,426,427,431,460,552,556,560,564,566,568,
580,716,731,737,755,762,763,772,773,794,797,806,824,848,886,913,992,1004,1027,
1033,1087,1132,1156,1158,1350,1416,1428,1441,1460,1461,1462,1914],[1,2,3,5,6,
8,13,20,21,22,23,24,27,29,32,35,36,40,75,76,81,87,93,96,97,109,111,114,115,
129,135,141,145,149,158,161,168,171,201,214,257,262,265,266,268,288,299,301,
304,366,368,379,399,405,423,427,428,431,448,451,455,471,571,581,718,735,789,
802,804,809,879,881,930,953,968,974,1156,1333,1357,1453,1528,1530,1915],[1,2,
3,5,7,8,13,16,17,20,21,24,26,27,28,29,32,73,75,76,81,84,87,92,93,94,103,104,
115,118,126,127,128,131,144,147,155,158,165,166,176,177,257,259,263,265,266,
286,288,289,296,300,301,314,315,329,333,352,371,378,379,390,399,405,406,420,
444,523,533,538,707,710,715,718,744,746,783,788,803,804,826,875,889,977,996,
1000,1010,1033,1326,1328,1383,1397,1419,1438,1471,1916],[1,2,3,4,5,7,8,9,13,
14,15,18,19,20,21,26,27,28,29,32,37,38,39,40,41,42,43,44,46,47,69,71,72,75,76,
83,85,86,87,88,89,90,91,92,94,101,102,104,107,113,116,117,119,121,122,124,125,
127,128,130,131,132,133,134,136,137,140,141,142,143,145,148,150,151,152,153,
159,160,164,165,167,170,172,173,174,175,178,184,197,207,212,255,267,269,281,
283,284,290,292,293,298,300,303,308,309,312,313,318,327,329,330,335,336,337,
338,339,340,342,343,349,351,356,357,359,361,362,366,367,372,374,382,384,385,
386,387,389,392,401,404,410,411,413,415,416,421,429,431,433,434,443,453,454,
473,490,492,493,496,502,504,506,507,513,514,518,520,525,532,537,546,547,549,
554,558,565,569,582,583,706,719,740,741,752,755,756,762,764,768,775,779,831,
871,878,882,883,894,900,903,911,912,922,924,935,936,939,940,941,950,951,962,
963,965,973,981,1005,1007,1017,1060,1079,1170,1181,1371,1373,1387,1392,1412,
1440,1470,1527,1559,1609,1621,1917],[1,2,3,4,5,6,9,13,18,19,20,21,22,23,24,27,
36,39,47,49,75,76,81,83,85,91,93,96,109,111,112,113,114,115,120,135,138,141,
149,151,153,168,174,182,185,196,200,203,204,257,265,266,273,275,303,307,328,
344,345,366,370,388,397,405,408,411,423,427,445,448,452,455,492,521,522,543,
544,556,557,558,559,562,563,564,567,570,571,576,581,592,699,714,718,761,789,
790,800,801,802,824,829,837,879,909,966,968,982,1017,1023,1024,1029,1035,1058,
1067,1123,1124,1129,1165,1171,1340,1426,1453,1544,1585,1608,1642,1646,1661,
1918],[1,2,3,5,8,9,13,14,15,20,21,27,29,32,39,40,41,42,44,47,69,71,72,75,76,
86,87,88,89,90,101,118,121,125,132,138,141,143,145,148,150,151,152,153,155,
167,174,184,197,255,267,269,289,298,307,309,312,318,327,330,339,341,356,357,
359,361,365,366,367,374,378,382,386,395,401,403,411,431,433,434,442,472,497,
525,537,554,575,582,706,741,752,755,773,774,775,871,883,900,922,924,939,951,
963,967,971,1003,1019,1024,1031,1048,1049,1352,1355,1366,1371,1373,1403,1430,
1919],[1,2,3,5,6,7,9,13,20,21,22,23,24,26,27,28,36,39,47,48,75,76,81,92,93,94,
96,104,109,111,112,114,115,118,120,127,128,131,135,141,149,151,153,165,168,
174,182,185,189,193,199,202,257,265,266,289,300,328,329,333,352,366,371,390,
398,405,411,419,423,425,427,432,445,447,448,455,477,480,493,499,511,535,539,
543,544,547,551,552,563,570,571,580,581,596,707,710,718,783,789,790,800,802,
803,830,844,879,886,940,966,968,985,1006,1016,1019,1029,1040,1084,1086,1117,
1120,1135,1178,1182,1328,1426,1453,1522,1546,1611,1635,1647,1663,1920],[1,2,3,
4,6,9,13,16,17,18,19,20,22,23,39,47,49,73,76,81,83,84,85,91,96,112,113,114,
118,120,135,141,151,153,168,174,181,192,196,200,203,204,257,259,263,273,275,
289,296,303,319,320,328,344,366,370,377,396,397,408,411,427,452,480,492,521,
522,526,535,543,544,550,552,558,559,562,567,571,572,580,581,592,699,704,710,
715,743,749,781,782,785,829,844,879,880,886,976,982,1016,1017,1019,1023,1029,
1035,1042,1044,1064,1067,1068,1123,1171,1329,1374,1435,1522,1591,1600,1628,
1642,1664,1921],[1,2,3,6,7,9,13,16,17,20,22,23,26,28,39,47,48,73,76,81,84,92,
94,96,104,112,114,120,127,128,131,135,138,141,151,153,165,168,174,181,189,192,
193,199,202,257,259,263,296,300,307,319,320,328,329,333,363,366,371,398,411,
418,419,425,427,432,447,477,493,499,511,526,539,543,544,547,550,551,556,557,
564,571,572,576,581,596,704,707,714,715,732,743,780,781,782,824,830,837,879,
880,909,940,976,985,1006,1024,1029,1109,1112,1117,1127,1135,1154,1178,1182,
1322,1374,1435,1481,1623,1635,1637,1638,1646,1922],[1,2,3,5,6,8,9,13,14,15,20,
21,22,23,27,29,32,36,39,41,42,44,47,69,71,72,75,76,77,78,80,82,86,87,88,89,90,
95,96,101,109,111,114,118,121,125,132,135,138,143,148,149,150,151,152,153,155,
167,168,174,184,197,255,267,269,270,271,277,278,279,282,289,291,294,298,305,
307,309,311,312,318,327,341,346,348,354,356,359,360,361,365,374,378,381,382,
386,393,395,401,403,411,417,423,427,430,433,434,442,472,480,497,525,535,537,
554,557,575,576,582,706,723,741,752,760,763,770,773,774,776,792,805,837,844,
862,883,900,916,922,924,925,926,928,929,939,958,963,967,971,975,978,1003,1015,
1018,1031,1048,1137,1373,1390,1403,1423,1444,1456,1468,1580,1619,1660,1668,
1923],[1,2,3,6,8,13,16,17,20,22,23,24,29,32,73,76,81,84,87,93,96,105,106,110,
114,135,141,158,166,168,177,257,259,263,264,266,285,286,288,296,301,319,320,
366,379,399,420,427,437,515,571,581,704,711,715,782,787,804,879,880,968,987,
996,999,1325,1360,1374,1411,1415,1924],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,25,
26,27,28,29,30,32,33,37,38,40,43,46,69,71,72,75,76,83,85,86,87,88,89,90,91,92,
94,101,102,104,107,108,112,113,116,117,119,120,121,122,123,124,125,127,128,
130,131,132,133,134,136,137,140,141,142,145,146,156,159,160,164,165,170,172,
173,175,178,186,187,255,267,269,281,283,284,290,292,293,297,298,300,303,306,
308,309,310,312,313,316,318,328,329,330,335,336,337,338,339,340,342,343,349,
351,357,362,366,367,372,384,385,387,389,391,392,400,401,404,410,413,415,416,
421,426,429,431,443,453,454,470,473,476,486,490,496,502,504,506,507,512,513,
514,518,520,521,522,532,539,546,551,706,719,731,740,754,755,756,762,764,768,
772,775,778,779,808,813,829,843,848,871,878,882,894,898,905,907,913,935,936,
948,951,969,985,997,1005,1007,1013,1054,1060,1088,1181,1371,1379,1387,1393,
1400,1409,1428,1542,1551,1565,1569,1925],[1,2,3,6,13,16,17,20,22,23,73,76,81,
84,96,114,135,141,155,168,195,257,259,263,296,319,320,366,378,427,571,581,584,
704,715,782,788,879,880,986,1338,1374,1472,1926],[1,2,3,6,13,16,17,20,22,23,
73,76,81,84,96,114,118,135,141,168,195,257,259,263,289,296,319,320,366,427,
571,581,584,704,710,715,782,879,880,986,1326,1374,1472,1927],[1,2,3,5,8,9,13,
14,15,16,17,20,21,24,27,29,32,39,41,42,44,47,70,71,73,74,75,76,87,88,90,93,
101,103,105,110,125,126,144,148,150,151,152,153,166,167,174,176,177,181,182,
184,185,192,195,197,256,263,266,269,285,286,288,296,302,312,314,327,359,379,
382,386,394,399,405,406,411,412,420,433,434,438,463,465,467,494,495,501,570,
572,584,588,593,600,606,700,701,717,739,742,744,752,766,781,787,800,821,826,
845,855,964,986,989,996,1090,1114,1128,1143,1146,1147,1159,1161,1330,1365,
1410,1482,1524,1550,1556,1596,1597,1928],[1,2,3,5,7,8,13,14,15,20,21,24,26,27,
28,29,32,37,45,46,71,75,76,81,87,88,90,92,93,94,101,104,106,115,117,118,121,
124,125,127,128,130,131,132,133,142,147,154,155,157,158,159,160,163,165,173,
175,178,179,188,201,257,264,265,266,269,287,288,289,290,293,295,300,301,309,
312,315,317,329,333,334,336,340,342,343,349,352,358,368,371,378,379,380,387,
390,399,405,410,413,416,428,439,442,444,446,450,458,461,462,472,474,475,482,
504,506,513,519,533,545,548,707,710,712,718,762,765,769,783,784,786,788,791,
803,804,825,828,832,840,847,884,891,942,947,952,980,1000,1005,1031,1032,1033,
1038,1046,1081,1110,1168,1327,1328,1383,1408,1418,1420,1446,1501,1512,1592,
1656,1929],[1,2,3,9,13,16,17,20,39,47,73,76,81,84,112,120,141,151,153,155,174,
181,192,257,259,263,296,328,366,378,411,526,543,544,550,572,715,743,781,782,
788,976,1029,1338,1415,1435,1930],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,
71,73,75,76,81,84,87,88,90,93,101,105,106,110,118,125,138,144,147,155,158,166,
176,177,257,259,263,264,269,285,288,289,296,301,302,307,312,315,322,325,334,
341,358,378,379,399,403,405,406,420,442,472,705,710,712,714,715,733,734,742,
746,766,773,788,804,821,891,977,999,1031,1326,1331,1431,1433,1446,1471,1476,
1931],[1,2,3,5,8,9,13,14,15,20,21,25,27,29,30,31,32,33,35,39,41,42,44,47,71,
75,76,78,79,80,87,88,90,98,108,118,121,123,129,132,138,141,146,147,148,150,
151,152,153,155,156,161,167,174,184,190,194,197,198,205,208,213,258,268,269,
270,289,291,294,297,307,309,315,316,327,339,341,347,357,359,365,366,375,378,
382,386,395,400,403,411,417,426,433,434,479,524,534,587,591,595,611,615,713,
731,752,773,774,775,776,822,823,838,862,869,890,891,910,917,929,970,1009,1019,
1024,1093,1140,1355,1386,1390,1404,1406,1457,1465,1932],[1,2,3,5,8,13,14,15,
16,17,20,21,24,27,29,31,32,34,35,45,70,71,73,74,75,76,79,86,87,88,89,90,93,97,
98,99,100,101,103,105,106,110,115,121,125,126,129,132,139,144,147,154,157,158,
161,163,166,171,176,177,179,188,201,256,258,260,261,262,263,264,265,266,267,
268,269,285,286,287,288,295,296,299,301,302,304,309,312,314,315,317,323,324,
331,347,353,368,375,379,380,394,399,405,406,412,420,428,435,436,441,450,458,
463,487,530,540,555,577,578,586,604,607,610,618,700,701,702,708,709,713,717,
728,733,735,738,739,742,744,745,747,750,758,759,765,766,771,784,787,791,798,
799,809,810,814,816,819,821,825,826,827,832,835,840,847,868,873,875,953,955,
974,977,991,993,995,996,999,1021,1022,1026,1034,1069,1316,1318,1334,1358,1365,
1369,1384,1434,1466,1469,1473,1489,1497,1502,1534,1583,1594,1654,1933],[1,2,3,
7,8,13,20,24,26,28,29,32,34,76,81,87,92,93,94,99,100,104,118,127,128,131,138,
139,155,158,165,188,257,260,261,288,289,300,301,307,329,333,371,378,379,380,
399,428,444,446,462,468,533,536,707,710,714,788,804,942,980,991,992,1000,1021,
1030,1033,1317,1367,1383,1408,1467,1471,1476,1934],[1,2,3,4,5,6,7,8,9,13,14,
15,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,
46,47,48,49,71,75,76,77,79,82,83,85,87,88,90,91,92,94,95,96,98,102,104,107,
108,109,111,113,114,116,117,119,121,122,123,124,127,128,129,130,131,132,133,
134,135,136,137,140,142,145,146,147,148,149,150,151,152,153,156,159,160,161,
164,165,167,168,170,172,173,174,175,178,180,183,184,186,187,189,190,191,193,
194,196,197,198,199,200,202,203,204,205,207,208,210,211,212,213,214,215,218,
258,268,269,272,274,279,284,290,292,293,297,300,303,305,308,309,311,313,315,
316,327,329,330,335,336,340,343,346,347,354,355,359,362,364,367,373,375,381,
382,383,386,387,400,404,407,409,410,411,415,423,426,427,431,433,434,440,443,
447,449,451,452,453,454,457,460,469,470,471,473,474,475,476,477,479,483,486,
488,489,490,491,496,498,499,500,506,507,508,509,510,511,512,519,520,524,528,
532,534,545,549,559,560,561,562,565,566,567,568,569,573,583,587,591,592,595,
596,597,608,611,614,615,617,620,621,622,623,713,729,731,737,752,755,756,762,
763,794,797,806,830,833,838,843,850,861,866,876,877,881,887,899,903,910,919,
921,948,952,959,960,961,969,970,972,973,982,983,984,988,997,1009,1051,1054,
1055,1056,1063,1075,1078,1079,1083,1091,1094,1099,1102,1107,1121,1125,1132,
1136,1140,1141,1144,1145,1153,1158,1167,1170,1180,1181,1350,1363,1368,1379,
1386,1424,1440,1487,1508,1548,1625,1672,1676,1677,1681,1935],[1,2,3,4,5,6,7,9,
13,14,15,18,19,20,21,22,23,24,26,27,28,36,38,39,40,41,42,44,47,48,49,71,75,76,
77,82,83,85,88,90,91,92,93,94,95,96,102,107,109,111,113,114,116,119,122,128,
131,134,135,136,137,143,145,148,149,150,151,152,153,155,167,168,174,184,189,
193,196,197,199,200,202,203,204,211,215,269,279,284,288,292,299,300,303,305,
308,311,313,317,327,330,335,346,354,356,359,361,362,365,367,374,378,381,382,
386,395,404,411,415,423,427,431,433,434,440,447,449,452,477,489,499,508,509,
510,511,528,559,561,562,567,592,596,597,608,614,617,716,741,752,755,756,763,
774,830,831,842,887,919,921,942,950,959,960,961,975,978,982,1049,1055,1075,
1107,1155,1156,1362,1366,1368,1392,1417,1460,1468,1936],[1,2,3,5,8,13,14,15,
20,21,27,29,31,32,35,71,75,76,78,79,80,87,88,90,98,112,118,120,121,129,132,
138,141,143,147,155,161,258,268,269,270,289,291,294,306,307,309,310,315,328,
339,341,347,356,357,361,365,366,374,375,378,391,395,403,417,713,741,772,773,
774,775,776,822,888,890,891,909,914,915,916,917,943,1016,1018,1352,1389,1404,
1406,1423,1448,1458,1937],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,25,26,27,28,29,
30,32,33,38,40,43,71,75,76,78,80,81,83,85,87,88,90,91,92,94,101,102,104,106,
107,108,113,116,119,122,123,125,127,128,131,134,136,137,140,143,145,146,147,
156,164,165,170,172,186,187,257,264,269,270,273,275,284,291,292,294,297,300,
303,308,312,313,315,316,329,330,332,333,334,335,337,350,356,358,361,362,367,
369,371,374,376,385,400,404,415,417,421,426,429,431,457,469,470,476,481,485,
486,491,500,505,512,518,520,541,546,699,707,712,730,731,736,741,753,755,756,
776,777,795,831,843,864,872,874,892,893,897,904,906,908,948,950,954,957,969,
984,997,998,1007,1054,1118,1337,1378,1379,1392,1407,1413,1439,1531,1541,1566,
1577,1938],[1,2,3,9,13,16,17,20,39,47,70,73,74,76,81,84,112,120,151,153,174,
181,192,195,256,257,259,263,296,328,411,526,543,544,550,572,584,600,606,701,
715,743,781,976,986,1029,1143,1146,1309,1435,1472,1596,1669,1939],[1,2,3,5,6,
8,9,13,14,15,20,21,22,23,25,27,29,30,31,32,33,35,36,39,40,41,42,44,47,71,75,
76,77,79,82,87,88,90,95,96,98,108,109,111,114,118,121,123,129,132,135,138,145,
146,147,148,149,150,151,152,153,155,156,161,167,168,174,184,190,194,197,198,
205,208,213,214,218,258,268,269,279,289,297,305,307,309,311,315,316,327,330,
341,346,347,354,359,365,367,375,378,381,382,386,395,400,403,411,423,426,427,
431,433,434,451,471,479,480,483,524,534,535,557,573,576,587,591,595,611,615,
713,731,752,755,763,773,774,837,838,844,863,876,881,890,891,899,910,926,928,
970,983,1009,1012,1049,1063,1137,1140,1366,1386,1404,1416,1424,1456,1463,
1940],[1,2,3,8,9,13,16,17,20,24,29,32,39,47,73,76,81,84,87,93,105,106,110,112,
120,151,153,158,166,174,177,181,192,195,257,259,263,264,266,285,286,288,296,
301,328,379,399,411,420,526,543,544,550,572,584,588,593,711,715,743,781,787,
804,976,986,996,999,1029,1090,1147,1325,1435,1472,1597,1666,1941],[1,2,3,4,5,
8,13,16,17,18,19,20,21,24,27,29,32,73,75,76,81,83,84,85,87,91,93,103,113,115,
118,126,138,144,147,155,158,166,176,177,257,259,263,265,266,273,275,286,288,
289,296,301,303,307,314,315,345,377,378,379,388,396,399,405,406,420,464,542,
699,710,714,715,718,744,746,749,761,785,788,801,804,826,842,867,875,977,996,
1329,1340,1397,1402,1419,1431,1476,1942],[1,2,3,5,8,9,13,14,15,20,21,27,29,32,
39,40,41,42,44,47,71,75,76,78,80,81,87,88,90,101,106,112,120,125,145,147,148,
150,151,152,153,155,167,174,184,197,257,264,269,270,291,294,306,310,312,315,
327,328,330,334,358,359,365,367,378,382,386,391,395,411,417,431,433,434,529,
543,544,579,712,748,752,755,772,774,776,788,862,874,902,915,929,931,943,946,
957,1029,1049,1095,1336,1361,1366,1390,1413,1414,1448,1943],[1,2,3,4,5,7,9,13,
14,15,18,19,20,21,26,27,28,38,39,41,42,44,47,71,75,76,83,84,85,88,90,91,92,94,
102,107,112,113,115,116,118,119,120,122,128,131,134,136,137,138,141,148,150,
151,152,153,167,174,184,197,259,265,269,276,280,284,289,292,300,303,306,307,
308,310,313,327,328,335,339,341,345,352,357,359,362,363,366,377,382,386,388,
390,391,396,403,404,411,415,418,433,434,445,492,493,521,522,526,539,547,550,
551,558,563,698,732,749,752,756,772,773,775,782,801,802,803,829,846,885,901,
905,909,940,941,944,956,962,965,966,976,979,981,985,1013,1016,1017,1019,1024,
1088,1162,1341,1355,1393,1401,1412,1443,1458,1481,1585,1600,1663,1944],[1,2,3,
5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,81,84,87,88,90,93,101,105,
106,110,125,138,144,147,155,158,166,176,177,257,259,263,264,269,285,288,296,
301,302,307,312,315,322,325,334,358,365,378,379,395,399,405,406,420,497,575,
705,712,714,715,733,742,746,748,766,774,788,804,821,890,971,977,999,1336,1338,
1431,1432,1433,1467,1474,1945],[1,2,3,4,13,16,17,18,19,20,73,76,81,83,84,85,
91,113,118,141,195,257,259,263,273,275,289,296,303,366,377,396,584,699,710,
715,749,782,785,986,1329,1415,1472,1946],[1,2,3,5,6,8,9,13,14,15,20,21,22,23,
27,29,32,36,39,41,42,44,47,71,75,76,77,81,82,87,88,90,95,96,101,106,109,111,
112,114,118,120,125,135,138,141,147,148,149,150,151,152,153,167,168,174,184,
197,257,264,269,279,289,305,306,307,310,311,312,315,327,328,334,339,341,346,
354,357,358,359,366,381,382,386,391,403,411,423,427,433,434,437,480,515,529,
535,543,544,552,556,557,564,571,576,579,580,581,710,712,714,734,752,763,772,
773,775,824,837,844,879,886,902,909,926,928,931,934,946,987,990,1004,1016,
1019,1024,1027,1029,1087,1095,1134,1137,1331,1355,1361,1455,1456,1458,1461,
1485,1522,1601,1646,1947],[1,2,3,5,6,7,13,14,15,20,21,22,23,25,26,27,28,30,33,
36,37,71,75,76,77,82,84,88,90,95,96,104,108,109,111,114,115,117,123,124,127,
128,130,133,135,142,143,146,149,155,156,165,168,175,183,191,259,265,269,276,
279,280,290,293,297,305,311,316,319,320,329,336,340,343,346,354,356,361,365,
374,378,381,387,395,400,410,423,426,427,439,448,455,459,460,478,523,527,538,
548,560,566,568,585,698,704,725,727,731,737,741,762,763,774,789,794,797,806,
818,841,860,863,865,870,884,896,933,949,975,978,1002,1010,1012,1077,1132,1139,
1158,1314,1350,1370,1398,1425,1463,1468,1479,1572,1610,1652,1948],[1,2,3,5,8,
13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,87,88,90,93,97,99,103,121,126,
132,143,144,163,166,171,176,177,195,201,261,262,263,266,269,286,287,299,302,
304,309,314,317,323,324,356,361,368,374,379,405,406,420,428,494,495,530,578,
584,702,717,735,738,741,750,771,810,825,826,835,873,923,964,986,989,1342,1384,
1410,1519,1606,1949],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,71,73,75,76,
87,88,90,93,97,99,103,112,120,121,126,132,144,162,163,166,169,171,176,177,201,
261,262,263,266,269,286,287,299,302,304,306,309,310,314,317,323,324,328,368,
379,391,402,405,406,420,422,428,530,531,553,578,702,717,735,738,743,750,771,
772,790,810,825,826,835,873,920,1011,1014,1335,1384,1449,1590,1643,1950],[1,2,
3,5,6,8,13,14,15,20,21,22,23,25,27,29,30,32,33,36,71,75,76,77,81,82,87,88,90,
95,96,101,106,108,109,111,114,123,125,135,141,143,146,147,149,155,156,168,257,
264,269,279,297,305,311,312,315,316,334,339,346,354,356,357,358,361,365,366,
374,378,381,395,400,423,426,427,437,515,571,581,712,731,741,748,763,774,775,
788,863,872,879,908,934,975,978,987,990,1012,1093,1134,1336,1352,1439,1455,
1463,1465,1468,1951],[1,2,3,5,8,9,13,20,21,24,27,29,32,35,39,47,75,76,81,87,
93,97,112,115,120,129,151,153,158,161,162,169,171,174,182,185,201,257,262,265,
266,268,288,299,301,304,328,368,379,399,405,411,428,445,543,544,553,563,570,
594,599,602,605,718,735,790,800,804,809,953,966,974,1011,1029,1103,1142,1333,
1372,1426,1510,1643,1952],[1,2,3,5,9,13,20,21,24,27,31,39,47,75,76,79,81,93,
98,99,112,115,120,151,153,162,163,169,174,182,185,257,258,261,265,266,287,299,
328,405,411,445,543,544,553,563,570,598,601,603,619,718,750,759,790,800,966,
1011,1029,1076,1100,1315,1372,1426,1589,1590,1953],[1,2,3,5,7,8,13,16,17,20,
21,24,26,27,28,29,32,73,75,76,81,84,87,92,93,94,103,104,115,126,127,128,131,
144,147,155,158,165,166,176,177,257,259,263,265,266,286,288,296,300,301,314,
315,329,333,371,378,379,399,405,406,420,439,446,462,523,538,548,707,715,718,
744,746,788,804,826,875,884,889,942,977,980,996,1010,1032,1332,1338,1408,1419,
1420,1438,1474,1954],[1,2,3,4,5,7,13,14,15,18,19,20,21,25,26,27,28,30,33,38,
71,75,76,78,80,83,84,85,88,90,91,92,94,102,107,108,113,115,116,118,119,122,
123,128,131,134,136,137,138,143,146,156,259,265,269,270,276,280,284,289,291,
292,294,297,300,303,307,308,313,316,335,341,345,352,356,361,362,363,374,377,
388,390,396,400,403,404,415,417,418,426,481,485,505,541,698,721,722,730,731,
732,741,749,753,756,773,776,777,795,801,803,823,846,864,865,869,896,901,904,
906,916,944,979,998,1018,1118,1313,1370,1378,1407,1423,1443,1457,1562,1574,
1584,1618,1955],[1,2,3,5,7,8,13,16,17,20,21,24,26,27,28,29,32,73,75,76,81,84,
87,92,93,94,103,104,115,126,127,128,131,138,144,147,155,158,165,166,176,177,
257,259,263,265,266,286,288,296,300,301,307,314,315,329,333,363,371,378,379,
399,405,406,418,420,439,468,536,548,707,714,715,718,732,744,746,780,788,804,
826,875,884,977,992,996,1030,1032,1319,1322,1367,1419,1420,1431,1467,1956],[1,
2,3,5,7,9,13,14,15,20,21,24,26,27,28,37,39,41,42,44,47,71,75,76,78,80,88,90,
93,104,117,118,124,127,128,130,133,138,141,142,143,148,150,151,152,153,165,
167,174,175,184,197,269,270,288,289,290,291,293,294,299,307,317,327,329,336,
339,340,341,343,356,357,359,361,366,374,382,386,387,403,410,411,417,433,434,
484,516,517,574,716,741,752,762,773,775,776,834,853,911,912,916,927,945,992,
1018,1019,1024,1033,1130,1155,1355,1362,1394,1423,1447,1462,1470,1957],[1,2,3,
5,6,8,13,14,15,20,21,22,23,25,27,29,30,32,33,36,69,71,72,75,76,77,78,80,82,86,
87,88,89,90,95,96,101,108,109,111,112,114,118,120,121,123,125,132,135,138,146,
149,155,156,168,255,267,269,270,271,277,278,279,282,289,291,294,297,298,305,
306,307,309,310,311,312,316,318,328,341,346,348,354,360,365,378,381,391,393,
395,400,401,403,417,423,426,427,430,442,472,497,552,556,564,575,580,706,723,
731,754,760,763,770,772,773,774,776,778,792,805,808,813,823,824,863,869,886,
915,925,943,958,967,971,1003,1004,1012,1015,1027,1031,1048,1087,1403,1409,
1444,1448,1457,1461,1463,1520,1576,1586,1603,1958],[1,2,3,5,6,8,13,14,15,16,
17,20,21,22,23,24,27,29,32,36,40,69,71,72,73,75,76,77,78,80,82,86,87,88,89,90,
93,95,96,101,103,109,111,114,121,125,126,132,135,141,145,149,166,168,177,255,
263,266,267,269,270,271,277,278,279,282,288,291,294,298,299,302,305,309,311,
312,314,317,318,330,339,346,348,354,357,360,366,367,381,393,401,417,420,423,
427,428,430,431,703,706,716,717,723,755,760,763,766,769,770,775,776,792,799,
805,871,873,880,925,951,958,968,1015,1156,1324,1371,1399,1444,1447,1460,1464,
1959],[1,2,3,4,5,7,13,14,15,16,17,18,19,20,21,24,26,27,28,38,40,71,73,75,76,
78,80,83,85,88,90,91,92,93,94,102,103,107,113,116,118,119,122,126,128,131,134,
136,137,138,143,145,263,266,269,270,284,289,291,292,294,300,302,303,307,308,
313,314,330,335,341,356,361,362,367,374,403,404,415,417,431,481,485,505,541,
717,741,755,756,761,773,776,780,783,785,831,864,904,906,916,923,950,998,1018,
1118,1342,1392,1399,1407,1423,1427,1430,1960],[1,2,3,4,5,7,13,14,15,18,19,20,
21,24,25,26,27,28,30,33,38,71,75,76,78,80,83,85,88,90,91,92,93,94,102,107,108,
112,113,116,119,120,122,123,128,131,134,136,137,141,146,155,156,269,270,284,
288,291,292,294,297,299,300,303,306,308,310,313,316,317,328,335,339,357,362,
365,366,378,391,395,400,404,415,417,426,521,522,539,551,716,730,731,753,756,
772,774,775,776,777,795,829,842,905,915,942,943,985,1013,1088,1093,1378,1393,
1417,1441,1447,1448,1465,1961],[1,2,3,5,8,9,13,16,17,20,21,24,25,27,29,30,31,
32,33,39,41,42,44,45,47,73,75,76,79,87,93,97,98,103,108,115,123,126,144,146,
147,150,152,154,156,157,162,163,169,174,176,179,181,182,184,185,192,194,195,
197,201,205,209,213,216,217,219,258,262,265,286,287,288,295,296,299,314,315,
323,324,368,399,400,402,405,406,414,422,424,428,433,438,456,465,467,494,495,
501,531,534,540,553,570,572,584,586,587,589,590,591,601,602,605,609,612,613,
615,616,619,702,744,758,759,784,835,838,845,847,851,875,920,953,989,1052,1053,
1059,1062,1073,1076,1103,1113,1126,1131,1146,1147,1172,1185,1187,1469,1482,
1483,1564,1578,1667,1670,1962],[1,2,4,5,7,8,9,14,15,18,19,20,21,23,25,26,28,
29,30,31,34,35,37,38,39,40,41,42,43,46,72,77,78,79,81,85,86,88,89,90,92,94,
100,101,102,104,106,107,108,111,112,113,114,116,117,119,121,122,124,125,127,
129,130,131,132,133,134,136,137,140,141,142,143,145,147,150,151,159,160,164,
165,167,170,172,173,175,178,186,187,189,190,193,194,196,198,203,205,271,274,
275,284,292,293,294,298,305,306,316,321,332,333,334,335,337,338,340,343,347,
349,351,355,357,358,359,360,367,369,371,373,374,375,376,383,384,389,392,397,
401,407,409,410,413,415,416,429,432,437,443,447,449,453,459,461,466,469,470,
471,473,474,475,476,482,483,484,485,487,488,490,491,496,498,500,502,503,504,
505,507,508,513,514,517,518,519,521,524,527,528,529,532,537,539,543,545,546,
547,555,558,560,561,562,565,581,582,583,587,757,764,767,777,792,797,808,831,
834,848,861,864,866,871,872,874,878,887,897,898,900,903,912,914,917,936,941,
946,947,949,954,972,983,990,994,997,1009,1013,1035,1036,1038,1060,1071,1072,
1092,1094,1097,1099,1111,1115,1117,1119,1122,1125,1153,1174,1180,1183,1451,
1478,1494,1499,1508,1525,1543,1547,1561,1563,1565,1566,1609,1627,1653,1963],[
1,2,3,5,8,9,13,16,17,21,24,25,27,29,30,32,33,35,39,41,42,44,45,47,70,73,74,75,
87,93,97,103,105,108,110,123,126,129,144,146,150,152,154,156,157,161,162,163,
166,169,174,176,177,179,181,182,184,185,188,190,192,195,197,198,208,209,216,
217,219,256,262,268,285,287,295,314,323,324,380,394,400,402,406,412,414,420,
422,424,433,435,436,438,441,456,463,465,467,479,494,495,501,524,531,553,570,
572,577,584,588,589,590,593,595,600,601,602,605,606,609,610,611,612,613,616,
618,619,702,728,739,747,814,819,845,851,920,937,970,989,993,1008,1020,1028,
1034,1041,1045,1059,1062,1076,1090,1103,1114,1126,1128,1131,1143,1150,1151,
1159,1161,1172,1185,1188,1316,1483,1556,1558,1578,1579,1593,1671,1678,1688,
1692,1964],[1,2,4,5,6,8,9,15,18,20,21,22,23,26,29,33,36,39,44,45,49,69,77,78,
80,82,84,86,90,91,92,104,109,112,115,117,118,121,123,124,125,135,136,137,138,
143,149,152,153,155,158,167,168,172,178,179,189,196,199,200,209,216,277,278,
280,281,293,294,297,306,311,313,318,320,325,331,341,344,348,352,354,356,360,
363,386,388,392,395,396,416,417,419,421,430,439,444,452,455,458,459,460,462,
468,472,477,478,480,481,484,489,490,497,505,525,526,537,538,542,557,561,563,
564,574,580,609,617,722,724,727,753,767,778,779,794,805,811,846,852,854,857,
859,860,862,863,865,869,915,916,918,927,928,956,959,963,975,998,1002,1003,
1004,1015,1025,1043,1044,1050,1061,1074,1081,1086,1092,1104,1109,1124,1163,
1346,1436,1505,1538,1562,1572,1603,1604,1605,1613,1619,1620,1630,1649,1665,
1965],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,27,29,32,39,47,69,71,72,73,75,76,
86,87,88,89,90,93,101,105,110,121,125,132,143,144,148,162,163,167,169,171,174,
176,181,182,185,188,192,195,201,255,267,269,285,287,296,298,302,304,309,312,
317,318,361,368,379,380,382,399,401,405,406,525,553,570,572,582,584,588,593,
594,599,601,619,703,706,738,742,821,825,840,855,922,923,964,995,1014,1026,
1076,1090,1142,1146,1155,1422,1519,1524,1536,1595,1645,1651,1966],[1,2,4,5,7,
8,9,14,15,18,19,20,21,23,26,28,29,31,33,34,35,37,38,39,40,41,42,43,46,72,77,
78,79,81,86,88,89,90,91,92,94,100,101,102,104,106,107,111,113,114,116,117,119,
120,121,122,123,124,125,127,129,130,131,132,133,134,136,137,140,141,142,143,
145,147,150,151,159,160,164,165,167,170,172,173,175,178,180,189,193,196,203,
206,207,208,210,212,213,271,272,273,290,294,297,298,305,308,310,313,326,332,
333,334,335,338,340,342,343,347,349,350,355,357,358,359,360,364,367,371,372,
373,374,375,376,384,385,389,392,398,401,407,408,409,410,413,415,421,437,443,
447,449,453,454,457,459,461,466,469,471,473,474,475,479,482,483,484,485,486,
487,488,490,491,492,493,496,498,502,503,504,505,508,512,513,514,517,518,519,
522,527,528,532,534,537,544,545,546,549,551,555,561,562,568,569,579,581,582,
737,740,753,754,792,793,796,828,833,834,850,864,871,874,877,887,888,892,893,
894,900,902,905,907,908,910,911,913,917,936,949,950,965,969,973,983,990,994,
1038,1056,1060,1066,1067,1072,1078,1091,1092,1099,1101,1108,1115,1119,1122,
1135,1138,1167,1169,1174,1359,1477,1487,1503,1511,1514,1525,1532,1541,1542,
1547,1554,1559,1568,1571,1967],[1,2,4,5,7,8,9,15,18,19,20,21,23,26,28,29,31,
33,34,35,37,38,39,40,41,42,43,46,69,77,79,80,81,85,86,90,94,100,106,107,111,
112,113,114,116,119,121,123,124,125,127,129,130,131,133,134,136,140,141,142,
143,145,147,150,151,159,160,164,165,167,170,173,180,189,193,196,203,206,207,
208,210,212,213,272,275,277,281,283,290,291,292,297,305,306,318,326,332,342,
351,355,357,358,359,364,367,369,371,372,373,374,375,384,393,397,410,415,429,
432,437,443,447,449,454,459,461,469,471,475,479,481,483,486,488,500,503,507,
508,512,513,516,519,521,525,527,528,529,534,539,541,543,546,547,549,554,555,
558,561,562,568,569,574,581,726,730,737,751,757,760,768,778,822,828,831,848,
861,877,887,897,904,907,908,910,911,914,935,939,941,945,946,949,951,957,969,
973,983,990,1013,1035,1036,1056,1078,1080,1091,1104,1111,1116,1117,1138,1152,
1167,1183,1344,1364,1477,1487,1495,1513,1516,1527,1531,1533,1540,1561,1569,
1570,1627,1968],[1,2,3,5,8,9,13,16,17,21,24,25,27,29,30,31,32,33,34,39,41,42,
44,45,47,70,73,74,75,79,87,93,98,99,100,103,105,108,110,123,126,139,144,146,
150,152,154,156,157,162,166,169,171,174,176,177,179,181,182,184,185,192,194,
195,197,201,205,209,213,216,217,219,256,258,260,261,285,295,304,314,368,394,
400,402,406,412,414,420,422,424,433,438,456,463,465,467,494,495,501,530,531,
534,540,553,570,572,578,584,586,587,588,589,590,591,593,594,598,599,600,603,
604,606,607,609,612,613,615,616,739,758,771,816,838,845,851,868,920,937,989,
1008,1020,1028,1052,1053,1057,1062,1069,1073,1090,1098,1100,1113,1114,1128,
1142,1143,1159,1161,1164,1166,1186,1187,1318,1518,1555,1556,1579,1667,1670,
1682,1685,1687,1689,1969],[1,2,4,5,6,7,8,9,14,15,18,19,20,21,22,25,26,28,29,
30,31,34,35,36,37,38,39,40,41,42,43,46,48,49,72,79,80,81,82,86,88,89,90,91,92,
94,100,101,102,104,106,107,108,109,112,113,116,117,119,121,122,124,125,127,
129,130,131,132,133,134,135,136,137,140,141,142,143,145,147,150,151,159,160,
164,165,167,170,172,173,175,178,180,183,186,187,190,191,194,198,199,200,202,
204,205,206,207,210,211,212,214,215,218,272,273,282,290,291,298,306,308,311,
313,316,326,332,333,334,335,338,340,342,343,344,347,349,350,355,357,358,359,
364,367,371,372,373,374,375,376,384,385,389,392,401,407,409,410,413,415,419,
421,430,440,443,451,453,454,457,461,466,469,470,473,474,475,476,478,481,482,
487,488,489,490,491,492,493,496,498,502,503,504,509,510,511,513,514,515,516,
518,519,521,524,529,532,537,539,541,543,545,546,549,555,559,566,569,571,573,
574,582,585,587,620,621,622,623,740,751,770,795,806,808,811,822,828,833,848,
850,871,872,877,892,893,894,898,899,900,904,911,914,921,933,934,936,945,946,
950,957,965,973,994,997,1009,1013,1038,1050,1060,1065,1066,1072,1082,1083,
1099,1119,1123,1138,1141,1144,1145,1157,1169,1176,1179,1182,1356,1478,1486,
1491,1500,1513,1526,1548,1557,1559,1565,1568,1570,1577,1626,1970],[1,2,3,9,13,
14,15,16,17,24,39,47,69,70,71,72,73,74,93,97,99,143,148,162,167,169,174,181,
182,185,192,195,255,256,261,262,286,302,317,361,382,525,553,570,572,582,584,
598,600,602,603,605,606,700,703,810,855,922,923,964,1014,1100,1103,1143,1147,
1155,1310,1536,1539,1550,1606,1645,1650,1971],[1,2,4,5,7,8,9,15,18,19,20,21,
23,25,26,28,29,30,31,34,35,38,39,40,41,42,43,69,77,79,80,81,86,90,91,92,100,
104,106,107,108,111,113,114,117,119,120,121,124,125,129,130,131,134,136,137,
140,141,142,143,145,147,150,151,159,160,164,165,167,172,178,186,187,189,190,
193,194,196,198,203,205,273,274,277,281,283,291,293,305,310,313,316,318,321,
333,350,351,357,358,359,367,372,374,375,376,383,392,393,398,407,408,409,410,
415,416,421,437,447,449,454,457,459,466,470,471,474,476,481,482,483,490,491,
492,493,498,507,508,513,516,522,524,525,527,528,541,544,545,546,551,554,555,
560,561,562,565,574,579,581,583,587,726,760,779,795,796,797,812,813,822,850,
872,887,888,893,898,902,903,904,905,912,913,935,939,945,947,949,950,951,957,
965,972,983,990,997,1009,1066,1067,1080,1094,1097,1101,1104,1108,1116,1125,
1135,1152,1153,1180,1348,1475,1484,1508,1509,1511,1526,1532,1533,1540,1551,
1577,1621,1639,1653,1972],[1,2,3,5,8,9,13,16,17,20,21,24,25,27,29,30,32,33,35,
39,41,42,44,45,47,73,75,76,87,93,99,103,105,106,108,110,123,126,129,146,150,
152,154,156,157,158,161,162,166,169,171,174,177,179,181,182,184,185,188,190,
192,195,197,198,201,208,209,216,217,219,261,264,268,285,286,288,295,296,301,
304,314,368,379,380,399,400,402,405,414,420,422,424,428,433,438,441,456,465,
467,479,494,495,501,524,530,531,553,570,572,577,578,584,589,590,594,595,598,
599,603,609,611,612,613,616,744,747,771,798,832,845,851,920,970,974,989,999,
1021,1022,1041,1045,1057,1062,1098,1100,1142,1146,1147,1150,1151,1164,1166,
1186,1188,1434,1482,1518,1555,1558,1564,1593,1973],[1,2,4,5,6,7,8,9,14,15,18,
19,20,21,22,26,28,29,31,33,34,35,36,37,38,39,40,41,42,43,46,48,49,72,79,80,81,
82,85,86,88,89,90,92,94,100,101,102,104,106,107,109,113,116,117,119,120,121,
122,123,124,125,127,129,130,131,132,133,134,135,136,137,140,141,142,143,145,
147,150,151,159,160,164,165,167,170,172,173,175,178,199,200,202,204,208,211,
213,214,215,218,274,275,282,284,291,292,293,297,298,310,311,321,332,333,334,
335,337,338,340,343,347,349,351,355,357,358,359,367,369,370,371,373,374,375,
376,383,384,389,392,401,407,409,410,413,415,416,425,429,430,440,443,451,453,
460,461,466,469,473,474,475,478,479,481,482,486,487,488,489,490,491,496,498,
500,502,503,504,507,509,510,511,512,513,514,515,516,518,519,522,532,534,537,
541,544,545,546,547,551,555,558,559,565,571,573,574,579,582,583,585,730,754,
764,770,794,807,812,822,831,861,866,871,878,888,897,899,900,902,903,904,905,
907,908,910,912,913,921,933,934,936,941,945,947,954,957,969,972,994,1036,1038,
1050,1051,1060,1065,1071,1072,1085,1097,1099,1102,1119,1121,1136,1157,1171,
1178,1179,1184,1385,1486,1491,1496,1498,1499,1509,1514,1516,1531,1542,1599,
1609,1625,1639,1974],[1,2,5,6,7,8,9,14,15,19,20,21,22,23,26,28,29,33,36,39,44,
45,48,72,77,78,80,82,84,85,86,90,94,101,102,104,109,115,116,117,118,120,123,
124,132,134,135,138,140,143,149,152,153,155,158,159,167,168,175,179,193,202,
203,204,209,216,271,280,282,291,292,293,297,298,310,311,320,322,331,337,341,
345,348,349,351,354,356,370,377,386,389,390,393,395,417,418,425,430,439,442,
444,445,446,449,450,455,459,460,464,468,478,480,484,485,496,499,509,538,541,
550,552,554,556,557,567,574,575,582,609,614,720,721,727,730,754,764,770,794,
807,812,836,852,857,858,860,863,865,869,885,895,901,906,918,924,925,927,928,
929,943,960,967,975,1002,1018,1027,1042,1046,1047,1070,1080,1084,1096,1154,
1157,1160,1165,1174,1349,1385,1572,1576,1580,1581,1582,1598,1604,1616,1618,
1629,1634,1657,1658,1975],[1,2,3,4,5,7,8,13,14,15,18,19,20,21,24,26,27,28,29,
32,34,35,37,38,43,46,71,75,76,83,84,85,86,87,89,91,92,93,94,100,101,102,104,
106,107,113,116,117,118,119,121,122,124,125,127,128,129,130,131,132,133,134,
136,137,138,139,140,142,147,155,158,159,160,161,164,165,170,171,172,173,175,
178,188,201,206,210,259,260,264,266,267,268,288,289,300,301,303,304,307,309,
312,315,317,321,322,325,326,329,332,336,337,342,349,350,351,362,363,364,368,
369,372,373,376,377,378,379,380,383,384,385,387,392,396,399,404,405,407,413,
416,418,421,428,429,442,443,444,446,453,454,457,461,462,464,466,468,469,472,
473,474,475,482,487,488,490,491,496,497,498,500,502,503,504,506,507,513,514,
518,519,520,523,532,533,536,538,542,545,546,555,575,705,711,732,734,736,745,
746,748,749,761,769,783,786,791,798,815,840,842,867,882,890,891,942,952,971,
974,980,984,988,991,992,995,1000,1005,1007,1010,1030,1031,1032,1033,1036,1037,
1047,1061,1066,1070,1071,1072,1074,1097,1106,1119,1133,1138,1169,1175,1181,
1377,1429,1454,1488,1490,1501,1545,1588,1612,1632,1633,1641,1644,1648,1656,
1976],[1,2,3,4,6,7,8,9,13,18,19,20,22,23,24,26,28,29,32,39,43,47,48,49,76,83,
84,85,87,91,92,93,94,96,106,112,113,114,118,120,128,131,135,138,140,141,151,
153,164,168,170,172,174,182,185,189,193,196,199,200,202,203,204,259,264,266,
289,300,303,307,319,320,328,332,344,350,363,366,369,370,376,377,396,397,398,
399,408,411,418,419,425,427,432,437,447,452,477,480,492,493,499,511,515,520,
521,522,526,529,535,539,547,550,551,552,556,557,558,559,562,564,567,570,576,
579,580,592,596,704,711,732,734,736,749,761,782,783,790,800,824,829,830,837,
844,886,909,931,940,968,976,982,985,987,1006,1016,1017,1019,1023,1024,1042,
1044,1064,1068,1082,1085,1101,1108,1109,1111,1112,1127,1154,1176,1183,1184,
1360,1377,1382,1481,1485,1600,1601,1608,1611,1636,1638,1640,1647,1661,1664,
1977],[1,2,3,5,8,9,13,20,21,24,27,29,32,39,45,47,75,76,84,87,93,97,99,106,112,
120,147,151,153,154,157,162,163,169,171,174,179,182,185,188,201,259,261,262,
264,266,287,288,295,299,304,315,328,368,379,380,399,405,411,428,526,529,550,
553,570,579,594,598,599,601,602,603,605,619,711,735,746,750,790,800,832,847,
931,953,955,976,1011,1021,1076,1100,1103,1142,1375,1382,1450,1510,1589,1590,
1643,1978],[1,2,3,5,7,8,13,16,17,20,21,26,27,28,29,32,40,46,73,75,76,87,104,
106,115,127,128,144,145,155,159,160,165,173,176,178,195,263,264,265,329,378,
406,431,439,461,482,506,548,584,709,748,786,884,889,930,986,1376,1380,1391,
1979],[1,2,3,7,8,13,20,24,26,28,29,32,46,76,84,87,93,104,106,127,128,141,155,
159,160,162,165,169,173,178,259,264,266,329,366,378,399,461,482,506,523,538,
553,711,748,782,786,1010,1011,1032,1411,1429,1450,1980],[1,2,3,5,6,8,13,16,17,
20,21,22,23,24,27,29,31,32,35,36,40,45,73,75,76,79,87,93,96,98,103,106,109,
111,114,115,126,129,135,141,144,145,149,154,157,161,163,166,168,176,177,179,
188,201,214,218,258,263,264,265,268,286,287,295,299,314,366,368,379,380,405,
406,420,423,427,428,431,437,448,451,455,471,483,515,540,573,586,610,618,709,
758,759,789,802,809,826,827,832,835,876,880,881,930,987,993,1156,1380,1452,
1473,1504,1528,1530,1552,1981],[1,2,5,6,7,8,9,14,15,19,20,21,22,23,25,26,28,
29,30,39,44,45,48,72,77,78,80,82,84,85,86,90,94,101,102,104,108,111,112,114,
115,116,117,118,124,132,134,138,140,143,149,152,153,155,158,159,167,168,175,
179,193,202,203,204,217,219,271,280,282,292,293,294,298,305,306,316,319,322,
331,337,341,345,348,349,351,354,356,360,377,386,389,390,393,395,397,417,418,
432,439,442,444,446,448,449,450,459,464,468,478,484,485,496,499,509,526,535,
538,541,554,560,563,564,567,574,575,576,580,582,612,614,720,722,725,757,764,
767,777,792,797,808,823,849,854,856,857,859,860,862,895,896,901,906,915,916,
924,925,926,927,956,960,967,978,1002,1004,1012,1040,1046,1047,1058,1068,1070,
1080,1096,1127,1157,1160,1174,1345,1451,1520,1521,1535,1574,1575,1610,1615,
1624,1629,1649,1657,1660,1665,1982],[1,2,3,4,5,6,7,8,9,13,16,17,18,19,20,21,
22,23,26,27,28,29,32,36,39,43,47,48,49,73,75,76,83,85,87,91,92,94,96,106,109,
111,112,113,114,115,118,120,128,131,135,138,140,141,144,149,151,153,164,168,
170,172,174,176,181,189,192,193,196,199,200,202,203,204,263,264,265,289,300,
303,307,328,332,344,345,350,352,366,369,370,376,388,390,397,398,406,408,411,
419,423,425,427,432,437,445,447,448,452,455,477,480,492,493,499,511,515,520,
521,522,529,535,539,547,551,552,556,557,558,559,562,563,564,567,572,576,579,
580,592,596,709,734,736,743,780,781,785,789,801,802,803,824,829,830,837,844,
880,886,909,931,940,966,982,985,987,1006,1016,1017,1019,1023,1024,1040,1058,
1082,1084,1085,1086,1101,1108,1111,1120,1124,1129,1165,1176,1183,1184,1351,
1354,1452,1485,1544,1546,1585,1591,1601,1623,1628,1636,1637,1640,1663,1983],[
1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,32,34,35,37,38,43,45,
46,71,73,75,76,83,85,86,87,89,91,92,93,94,100,101,102,104,105,106,107,110,113,
115,116,117,118,119,121,122,124,125,127,128,129,130,131,132,133,134,136,137,
138,139,140,142,144,147,154,155,157,158,159,160,161,163,164,165,166,170,171,
172,173,175,176,177,178,179,188,201,206,210,260,263,264,265,267,268,285,287,
288,289,295,300,301,302,303,304,307,309,312,315,321,326,329,332,336,337,342,
345,349,350,351,352,362,364,368,369,372,373,376,378,380,383,384,385,387,388,
390,392,404,406,407,413,416,420,421,429,439,442,443,444,446,450,453,454,457,
458,461,462,464,466,468,469,472,473,474,475,482,487,488,490,491,496,497,498,
500,502,503,504,506,507,513,514,518,519,520,532,533,536,542,545,546,548,555,
575,604,607,610,618,709,733,734,736,738,745,748,765,766,780,784,785,786,798,
801,803,815,842,867,868,882,884,889,890,891,942,952,971,980,984,988,992,993,
1000,1005,1007,1026,1030,1031,1033,1036,1046,1066,1071,1072,1081,1089,1096,
1097,1110,1119,1138,1163,1168,1169,1173,1181,1354,1358,1376,1488,1493,1512,
1529,1553,1573,1588,1592,1617,1632,1633,1655,1984],[1,2,4,5,6,7,8,9,14,15,18,
20,21,22,23,26,28,29,33,37,39,43,44,45,49,72,77,78,80,82,84,86,90,91,92,101,
111,114,115,118,120,122,123,127,130,132,133,136,137,138,143,149,152,153,155,
158,160,164,167,168,175,179,189,196,199,200,209,216,271,280,282,290,294,297,
298,305,310,313,319,322,331,338,341,348,352,354,356,360,363,372,385,386,388,
393,395,396,398,408,413,417,442,445,448,450,452,453,462,477,481,489,505,516,
517,523,527,533,535,536,542,548,550,552,554,556,561,568,575,576,582,585,609,
617,720,722,725,737,740,753,754,792,793,796,839,841,846,853,854,856,858,862,
863,865,869,870,885,916,918,924,925,926,943,959,967,978,998,1025,1027,1064,
1065,1089,1106,1110,1112,1115,1120,1129,1149,1152,1175,1345,1359,1479,1480,
1492,1506,1523,1562,1576,1581,1605,1614,1622,1631,1660,1985],[1,2,4,5,6,8,9,
15,18,20,21,22,23,25,26,29,30,39,44,45,49,69,77,78,80,82,84,86,90,91,92,104,
108,111,114,115,117,118,120,121,124,125,136,137,138,143,149,152,153,155,158,
167,168,172,178,179,189,196,199,200,217,219,277,278,280,281,291,293,305,310,
313,316,318,319,325,331,341,352,354,356,360,363,386,388,392,393,395,396,398,
408,416,417,421,430,439,444,445,448,452,458,459,462,468,472,477,478,481,484,
489,490,497,505,525,535,537,538,542,550,552,556,560,561,574,576,612,617,721,
724,725,760,779,795,796,797,812,813,823,836,846,849,856,857,858,860,885,896,
926,927,929,943,959,963,978,998,1002,1003,1012,1015,1018,1025,1027,1043,1050,
1061,1064,1074,1081,1092,1104,1112,1120,1129,1163,1347,1475,1505,1535,1560,
1584,1586,1587,1598,1610,1613,1614,1622,1658,1668,1986],[1,2,3,5,8,9,13,14,15,
16,17,21,24,27,29,32,39,47,70,71,73,74,75,86,87,89,93,103,105,110,121,126,132,
143,144,148,162,163,166,167,169,171,174,176,177,181,182,185,188,192,195,201,
256,267,285,286,287,299,302,304,309,314,317,361,368,380,382,394,406,412,420,
428,463,537,553,554,570,572,584,594,599,600,601,606,619,700,738,739,799,827,
835,855,873,883,923,964,1014,1022,1026,1076,1142,1143,1147,1155,1369,1519,
1550,1595,1607,1650,1662,1987],[1,2,4,5,6,7,8,9,14,15,18,20,21,22,23,25,26,28,
29,30,36,37,39,43,44,45,49,72,77,78,80,82,84,86,90,91,92,101,108,109,112,115,
118,122,127,130,132,133,135,136,137,138,143,149,152,153,155,158,160,164,167,
168,175,179,183,189,191,196,199,200,217,219,271,280,282,290,291,298,306,311,
313,316,320,322,331,338,341,344,348,352,354,356,363,372,385,386,388,393,395,
396,413,417,419,430,442,450,452,453,455,462,477,480,481,489,505,516,517,523,
526,527,533,536,542,548,554,557,561,563,564,566,575,580,582,585,612,617,720,
721,727,740,751,770,795,806,808,811,823,836,839,841,846,849,852,853,859,870,
896,915,924,925,928,929,956,959,967,975,998,1004,1012,1018,1025,1044,1065,
1086,1089,1106,1109,1110,1115,1124,1149,1152,1175,1349,1356,1480,1492,1520,
1537,1549,1560,1575,1580,1584,1620,1630,1652,1659,1988],[1,2,3,5,8,9,13,16,17,
20,21,24,27,29,32,39,47,70,73,74,75,76,87,93,103,105,106,110,112,115,120,126,
144,147,151,153,158,166,174,176,177,181,192,195,256,263,264,265,285,286,296,
301,314,315,328,379,394,399,405,406,411,412,420,445,463,529,563,572,579,584,
588,593,600,606,701,709,733,739,743,781,787,826,875,931,966,977,986,999,1090,
1143,1146,1147,1351,1391,1466,1596,1597,1666,1669,1989],[1,2,5,6,7,8,9,15,19,
20,21,22,23,25,28,29,30,36,37,39,44,45,46,48,69,77,78,80,82,84,85,86,90,94,
108,109,115,116,118,120,121,125,127,130,133,134,135,138,143,149,152,153,155,
158,167,168,170,173,179,183,191,193,202,203,204,217,219,277,278,280,283,290,
292,294,310,311,316,318,320,325,331,341,342,345,348,354,356,360,370,377,384,
386,390,395,417,418,425,429,430,443,445,446,449,455,458,464,472,480,485,497,
499,509,516,517,523,525,527,533,536,537,541,548,550,552,556,557,566,567,585,
612,614,722,724,727,768,777,793,805,806,807,813,823,839,841,849,852,853,854,
858,862,870,885,895,896,901,906,916,928,943,960,963,975,1003,1012,1015,1027,
1037,1042,1084,1116,1122,1133,1154,1165,1168,1173,1177,1179,1346,1353,1507,
1521,1523,1574,1586,1587,1602,1616,1619,1631,1634,1652,1659,1990],[1,2,4,5,6,
7,8,9,15,18,19,20,21,22,25,26,28,29,30,31,34,35,36,37,38,39,40,41,42,43,46,48,
49,69,78,79,81,82,85,86,90,94,100,106,107,108,109,113,116,119,120,121,124,125,
127,129,130,131,133,134,135,136,140,141,142,143,145,147,150,151,159,160,164,
165,167,170,173,180,183,186,187,190,191,194,198,199,200,202,204,205,206,207,
210,211,212,214,215,218,272,275,278,281,283,290,292,294,310,311,316,318,326,
332,342,348,351,355,357,358,359,364,367,369,370,371,372,373,374,375,384,410,
415,425,429,440,443,451,454,461,469,470,475,476,478,484,485,488,489,500,503,
505,507,509,510,511,513,515,517,519,522,524,525,544,546,547,549,551,554,555,
558,559,566,569,571,573,579,585,587,620,621,622,623,726,768,777,793,805,806,
807,813,828,831,834,861,864,872,874,877,888,897,898,899,902,905,911,913,917,
921,933,934,935,939,941,951,973,997,1009,1036,1043,1083,1085,1138,1141,1144,
1145,1149,1160,1171,1177,1178,1184,1344,1353,1484,1494,1498,1503,1515,1517,
1527,1548,1551,1566,1571,1599,1626,1991],[1,2,5,6,7,8,9,15,19,20,21,22,23,28,
29,33,37,39,44,45,46,48,69,77,78,80,82,84,85,86,90,94,111,112,114,115,116,118,
121,123,125,127,130,133,134,138,143,149,152,153,155,158,167,168,170,173,179,
193,202,203,204,209,216,277,278,280,283,290,291,292,297,305,306,318,319,325,
331,341,342,345,354,356,360,377,384,386,390,393,395,397,417,418,429,430,432,
443,446,448,449,458,464,472,485,497,499,509,516,517,523,525,526,527,533,535,
536,537,541,548,563,564,567,568,576,580,585,609,614,721,724,725,730,737,751,
757,760,768,778,836,839,841,853,856,859,863,865,869,870,895,901,906,915,918,
926,929,956,960,963,978,1003,1004,1015,1018,1037,1040,1058,1068,1116,1122,
1127,1133,1168,1173,1177,1179,1347,1364,1479,1506,1507,1537,1538,1549,1582,
1602,1603,1615,1618,1624,1668,1992],[1,2,4,5,6,7,8,9,15,18,19,20,21,22,26,28,
29,31,33,34,35,36,38,39,40,41,42,43,48,49,69,78,79,81,82,86,90,91,92,100,104,
106,107,109,112,113,117,119,121,123,124,125,129,130,131,134,135,136,137,140,
141,142,143,145,147,150,151,159,160,164,165,167,172,178,199,200,202,204,208,
211,213,214,215,218,273,274,278,281,283,293,294,297,306,311,313,318,321,333,
344,348,350,351,357,358,359,367,372,374,375,376,383,392,407,409,410,415,416,
419,421,440,451,454,457,460,466,474,478,479,482,484,485,486,489,490,491,492,
493,498,505,507,509,510,511,512,513,515,517,521,525,529,534,539,543,545,546,
554,555,559,565,571,573,583,585,726,753,767,778,779,794,805,811,834,848,850,
864,874,893,899,903,907,908,910,912,914,917,921,933,934,935,939,946,947,950,
951,965,969,972,1013,1043,1051,1066,1082,1097,1102,1121,1123,1136,1149,1160,
1176,1177,1182,1348,1436,1495,1496,1500,1515,1517,1541,1543,1554,1557,1563,
1569,1621,1625,1993],[1,2,3,8,9,13,14,15,16,17,20,24,29,32,39,47,71,73,76,86,
87,89,93,97,99,101,105,110,125,143,148,162,166,167,169,171,174,177,181,182,
185,188,192,195,261,262,266,267,285,286,288,296,302,304,312,317,361,379,380,
382,399,420,428,537,553,554,570,572,584,588,593,598,602,603,605,735,742,769,
799,810,855,883,923,964,995,996,1014,1021,1022,1090,1100,1103,1146,1155,1437,
1524,1539,1606,1607,1651,1662,1994],[1,2,3,10,11,12,13,14,15,50,51,53,54,55,
56,58,69,71,72,220,221,224,226,227,231,255,624,630,633,635,636,651,659,1194,
1200,1210,1214,1693,1995],[1,2,10,11,12,15,23,50,51,56,69,77,80,220,227,232,
233,277,624,633,635,636,649,661,1189,1213,1239,1693,1996],[1,2,9,10,11,12,15,
39,50,51,56,62,63,64,65,68,69,143,167,220,227,238,240,247,525,624,625,626,633,
635,636,641,644,1191,1272,1278,1292,1693,1997],[1,2,9,10,11,12,15,39,50,51,56,
60,65,67,68,69,143,167,220,227,235,243,247,525,624,629,633,635,636,642,655,
1190,1275,1276,1292,1693,1998],[1,2,4,10,11,12,15,18,26,50,51,52,56,66,69,124,
136,220,223,227,228,242,281,624,628,633,635,636,652,654,1193,1212,1236,1693,
1999],[1,2,6,10,11,12,15,22,50,51,56,59,61,69,78,82,220,227,230,234,278,624,
627,633,635,636,645,647,1195,1211,1237,1693,2000],[1,2,7,10,11,12,15,19,28,50,
51,56,57,69,130,134,220,222,227,229,244,283,624,633,635,636,643,653,1192,1215,
1229,1693,2001],[1,3,9,10,11,12,16,47,53,54,55,58,60,63,64,65,67,68,70,181,
195,220,236,241,249,252,253,600,625,629,630,631,632,639,640,679,687,1197,1284,
1288,1291,1303,1694,2002],[1,3,9,10,11,12,16,47,53,54,55,58,60,62,64,65,67,68,
70,181,195,220,236,245,252,253,254,600,626,629,630,631,632,639,640,677,682,
1196,1284,1298,1303,1307,1694,2003],[1,2,3,10,11,12,13,16,17,50,51,53,54,55,
56,58,70,73,74,220,221,224,231,236,239,256,624,630,631,632,639,640,669,681,
1194,1201,1202,1227,1228,1694,2004],[1,2,3,4,6,9,10,11,12,13,18,19,22,23,39,
47,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,83,96,174,196,200,
203,204,220,221,222,223,224,230,231,232,233,234,235,238,240,241,242,243,244,
245,246,247,249,250,251,252,253,254,592,624,625,626,627,628,629,630,637,662,
668,670,674,678,680,684,690,692,693,694,695,696,697,1189,1190,1191,1192,1193,
1194,1195,1196,1197,1198,1199,1287,1308,1695,1696,1697,1698,1699,1700,1701,
2005],[1,2,3,10,13,16,17,20,50,53,70,73,74,76,81,84,221,256,257,259,263,296,
632,634,701,715,1201,1204,1309,2006],[1,2,3,11,13,14,15,16,17,24,51,54,55,69,
70,71,72,73,74,93,97,99,224,255,256,261,262,286,302,317,631,633,638,700,703,
810,1200,1202,1220,1310,2007],[1,2,3,12,13,16,17,20,56,58,70,73,74,76,81,84,
231,256,257,259,263,296,639,646,701,715,1227,1251,1309,2008],[1,2,3,10,13,14,
15,16,17,24,50,53,69,70,71,72,73,74,93,97,99,221,226,227,255,256,261,262,286,
302,317,632,635,651,659,700,703,810,1201,1214,1310,1740,2009],[1,2,3,11,13,14,
15,16,17,24,51,54,55,69,70,71,72,73,74,93,97,99,224,236,239,255,256,261,262,
286,302,317,633,640,669,681,700,703,810,1200,1228,1310,1758,2010],[1,2,3,12,
13,14,15,16,17,24,56,58,69,70,71,72,73,74,93,97,99,231,255,256,261,262,286,
302,317,636,639,673,700,703,810,1210,1227,1293,1310,2011],[1,2,3,11,13,16,17,
20,51,54,55,70,73,74,76,81,84,224,236,239,256,257,259,263,296,631,640,669,681,
701,715,1202,1228,1309,1756,2012],[1,2,3,5,6,10,13,14,15,20,21,22,23,27,36,50,
53,61,71,75,76,77,82,84,88,90,95,96,109,111,114,115,135,149,168,221,226,227,
233,234,259,265,269,276,279,280,305,311,319,320,346,354,381,423,427,448,455,
634,645,659,661,666,668,698,704,725,727,763,789,818,1203,1204,1205,1222,1225,
1250,1314,1712,1713,1719,1733,1750,2013],[1,2,3,5,12,13,20,21,24,27,31,56,58,
75,76,79,81,93,98,99,115,163,225,231,257,258,261,265,266,287,299,405,646,648,
664,673,718,750,759,1235,1251,1293,1315,2014],[1,2,3,5,10,13,14,15,20,21,25,
27,30,33,50,53,71,75,76,84,88,90,108,115,123,143,146,156,221,226,227,259,265,
269,276,280,297,316,356,361,374,400,426,634,641,642,659,698,731,741,865,896,
1203,1204,1205,1253,1370,1702,1707,1712,2015],[1,2,5,6,7,9,10,15,19,20,21,22,
23,28,36,39,44,48,50,57,64,77,82,84,85,90,94,109,115,116,118,120,134,135,138,
149,152,153,167,168,193,202,203,204,222,227,229,233,238,280,292,310,311,320,
341,345,354,370,377,386,390,418,425,445,449,455,480,499,509,550,552,556,557,
567,614,634,643,644,661,663,678,727,807,885,901,928,960,1027,1042,1084,1154,
1165,1203,1207,1208,1221,1225,1240,1616,1706,1710,1719,1747,1755,2016],[1,2,3,
5,8,12,13,14,15,20,21,27,29,31,32,34,35,56,58,69,71,72,75,76,79,81,86,87,88,
89,90,98,100,101,106,121,125,129,132,139,147,161,225,231,237,255,257,258,260,
264,267,268,269,298,309,312,315,318,334,347,358,375,401,487,555,636,646,648,
664,671,691,706,712,713,726,745,994,1210,1235,1251,1305,1311,1704,2017],[1,2,
3,4,5,7,10,13,14,15,18,19,20,21,26,27,28,38,50,52,53,57,71,75,76,83,84,85,88,
90,91,92,94,102,107,113,115,116,118,119,122,128,131,134,136,137,138,221,222,
223,226,227,228,229,259,265,269,276,280,284,289,292,300,303,307,308,313,335,
341,345,352,362,363,377,388,390,396,403,404,415,418,634,637,643,650,654,656,
659,660,698,732,749,756,773,801,803,846,901,944,979,1203,1204,1205,1206,1207,
1208,1209,1233,1443,1703,1705,1706,1709,1712,1720,1721,2018],[1,2,5,7,10,15,
19,20,21,28,33,50,57,78,80,84,85,90,94,115,116,118,123,134,138,143,222,227,
229,280,291,292,297,341,345,356,377,390,417,418,485,541,634,642,643,647,721,
730,865,869,901,906,1018,1203,1207,1208,1263,1618,1702,1706,1718,2019],[1,2,3,
5,7,10,13,14,15,20,21,26,27,28,37,50,53,57,71,75,76,84,88,90,104,115,117,124,
127,128,130,133,142,155,165,175,221,226,227,228,229,259,265,269,276,280,290,
293,329,336,340,343,365,378,387,395,410,439,523,538,548,634,650,652,653,659,
676,698,762,774,860,870,884,1010,1139,1203,1204,1205,1218,1226,1230,1398,1712,
1715,1716,1730,1743,2020],[1,2,3,5,10,13,14,15,20,21,27,50,53,71,75,76,78,80,
84,88,90,115,221,226,227,259,265,269,270,276,280,291,294,417,634,647,649,659,
698,721,722,776,1203,1204,1205,1234,1313,1708,1712,1718,2021],[1,2,5,8,9,10,
14,15,20,21,29,33,39,44,45,50,64,72,84,86,90,101,115,120,123,132,143,152,153,
158,167,179,209,216,226,227,238,280,297,298,310,322,331,356,386,445,450,550,
554,582,609,634,642,644,651,720,754,858,865,885,918,924,1203,1216,1221,1260,
1581,1702,1710,1714,2022],[1,2,3,5,8,10,13,14,15,20,21,27,29,32,45,50,53,69,
71,72,75,76,84,86,87,88,89,90,101,115,121,125,132,154,157,158,179,221,226,227,
255,259,265,267,269,276,280,295,298,301,309,312,318,322,325,331,353,401,450,
458,634,635,651,659,698,705,706,708,720,724,765,817,1203,1204,1205,1214,1216,
1217,1312,1712,1714,1717,1725,1751,2023],[1,2,4,5,10,15,18,20,21,25,26,30,50,
52,78,80,84,90,91,92,108,115,118,136,137,138,143,223,227,228,280,291,313,316,
341,352,356,363,388,396,417,481,505,634,641,647,654,721,795,823,846,896,998,
1018,1203,1206,1209,1274,1584,1705,1707,1718,2024],[1,2,5,9,10,15,20,21,26,39,
44,50,64,78,80,84,90,104,115,117,120,124,152,153,155,167,227,228,238,280,291,
293,310,386,395,417,439,445,484,538,550,574,634,644,647,652,721,812,860,885,
927,929,943,1203,1221,1226,1261,1658,1710,1716,1718,2025],[1,2,5,6,7,10,15,20,
21,22,23,25,28,30,36,37,50,57,77,82,84,90,108,109,115,127,130,133,135,143,149,
155,168,183,191,227,229,233,280,290,311,316,320,354,356,395,455,523,527,548,
566,585,634,641,653,661,727,806,841,870,896,975,1012,1203,1218,1225,1244,1652,
1707,1715,1719,2026],[1,2,5,6,10,15,20,21,22,23,26,33,36,50,77,82,84,90,104,
109,115,117,123,124,135,143,149,155,168,227,228,233,280,293,297,311,320,354,
356,395,439,455,459,460,478,538,634,642,652,661,727,794,860,863,865,975,1002,
1203,1225,1226,1254,1572,1702,1716,1719,2027],[1,2,3,5,9,10,13,14,15,20,21,27,
39,41,42,44,47,50,53,60,64,71,75,76,84,88,90,112,115,120,148,150,151,152,153,
167,174,184,197,221,226,227,235,238,252,259,265,269,276,280,306,310,327,328,
359,382,386,391,411,433,434,445,526,550,563,634,644,655,659,667,680,698,752,
772,885,956,966,976,1162,1203,1204,1205,1221,1223,1231,1401,1710,1711,1712,
1738,1746,2028],[1,2,5,6,7,10,15,20,21,22,23,28,33,37,50,57,61,77,82,84,90,
111,114,115,123,127,130,133,143,149,155,168,227,229,234,280,290,297,305,319,
354,356,395,448,523,527,548,568,585,634,642,645,653,725,737,841,863,865,870,
978,1203,1218,1222,1243,1479,1702,1713,1715,2029],[1,2,5,6,7,9,10,15,19,20,21,
22,23,28,39,44,48,50,57,60,61,77,82,84,85,90,94,111,112,114,115,116,118,134,
138,149,152,153,167,168,193,202,203,204,222,227,229,234,235,248,280,292,305,
306,319,341,345,354,377,386,390,397,418,432,448,449,499,509,526,535,563,564,
567,576,580,614,634,643,645,655,674,685,725,757,901,926,956,960,1004,1040,
1058,1068,1127,1203,1207,1208,1222,1223,1232,1615,1706,1711,1713,1726,1745,
2030],[1,2,5,6,10,15,20,21,22,23,25,26,30,50,61,77,82,84,90,104,108,111,114,
115,117,124,143,149,155,168,227,228,234,280,293,305,316,319,354,356,395,439,
448,459,478,538,560,634,641,645,652,725,797,860,896,978,1002,1012,1203,1222,
1226,1256,1610,1707,1713,1716,2031],[1,2,4,5,6,9,10,15,18,20,21,22,23,26,39,
44,49,50,52,61,64,77,82,84,90,91,92,111,114,115,118,120,136,137,138,149,152,
153,167,168,189,196,199,200,223,227,228,234,238,246,280,305,310,313,319,341,
352,354,363,386,388,396,398,408,445,448,452,477,489,535,550,552,556,561,576,
617,634,644,645,654,665,670,725,796,846,885,926,959,1027,1064,1112,1120,1129,
1203,1206,1209,1221,1222,1241,1614,1705,1710,1713,1737,1739,2032],[1,2,5,8,9,
12,15,20,21,25,29,30,31,34,35,39,41,42,56,62,63,69,79,81,86,90,100,106,108,
120,121,125,129,143,147,150,151,167,190,194,198,205,225,237,240,310,316,318,
358,359,374,375,524,525,544,554,555,579,587,636,646,648,657,658,671,726,813,
872,888,902,939,1009,1268,1278,1279,1484,1704,2033],[1,2,5,7,10,15,19,20,21,
25,28,30,50,57,78,80,84,85,90,94,108,115,116,118,134,138,143,222,227,229,280,
292,294,316,341,345,356,377,390,417,418,485,541,634,641,643,649,722,777,823,
896,901,906,916,1203,1207,1208,1255,1574,1706,1707,1708,2034],[1,2,4,5,10,15,
18,20,21,26,33,50,52,78,80,84,90,91,92,115,118,123,136,137,138,143,223,227,
228,280,294,297,313,341,352,356,363,388,396,417,481,505,634,642,649,654,722,
753,846,865,869,916,998,1203,1206,1209,1247,1562,1702,1705,1708,2035],[1,2,5,
9,10,15,20,21,26,39,44,50,60,78,80,84,90,104,112,115,117,124,152,153,155,167,
227,228,235,280,293,294,306,386,395,417,439,484,526,538,563,574,634,649,652,
655,722,767,860,862,915,927,956,1203,1223,1226,1280,1649,1708,1711,1716,
2036],[1,2,5,6,8,10,14,15,20,21,22,23,29,45,50,61,72,77,78,80,82,84,86,90,101,
111,114,115,132,149,158,168,179,226,227,234,271,280,282,294,298,305,319,322,
331,348,354,360,393,417,448,450,634,645,649,651,720,722,725,792,854,856,925,
1203,1216,1222,1242,1345,1708,1713,1714,2037],[1,2,5,7,8,10,14,15,19,20,21,26,
28,29,45,50,57,72,84,85,86,90,94,101,102,104,115,116,117,118,124,132,134,138,
140,155,158,159,175,179,222,226,227,228,229,280,292,293,298,322,331,337,341,
345,349,351,377,389,390,395,418,439,442,444,446,450,464,468,496,538,575,634,
643,651,652,660,676,720,764,857,860,895,901,967,1046,1047,1070,1096,1203,1207,
1208,1216,1226,1271,1629,1706,1714,1716,1752,1754,2038],[1,2,5,8,9,10,15,20,
21,25,29,30,39,44,45,50,64,69,84,86,90,108,115,120,121,125,143,152,153,158,
167,179,217,219,227,238,280,310,316,318,325,331,356,386,445,458,525,537,550,
612,634,635,641,644,724,813,849,858,885,896,963,1203,1217,1221,1272,1587,1707,
1710,1717,2039],[1,2,5,7,8,10,15,19,20,21,28,29,37,45,46,50,57,69,84,85,86,90,
94,115,116,118,121,125,127,130,133,134,138,155,158,170,173,179,222,227,229,
280,283,290,292,318,325,331,341,342,345,377,384,390,395,418,429,443,446,458,
464,472,497,523,533,536,548,634,635,643,653,724,768,839,870,895,901,1003,1037,
1133,1168,1173,1203,1207,1208,1215,1217,1218,1602,1706,1715,1717,1735,1748,
2040],[1,2,4,5,7,8,12,15,18,19,20,21,26,28,29,31,34,35,37,38,43,46,56,66,69,
79,81,85,86,90,94,100,106,107,113,116,119,121,124,125,127,129,130,131,133,134,
136,140,142,147,159,160,164,165,170,173,180,206,210,225,237,242,272,275,281,
283,290,292,318,326,332,342,351,355,358,364,369,371,372,373,375,384,410,415,
429,443,454,461,469,475,488,500,503,507,513,519,546,555,636,646,648,671,686,
688,726,768,828,861,877,897,935,1036,1138,1236,1259,1265,1295,1344,1704,
2041],[1,2,5,6,8,10,15,20,21,22,23,29,45,50,61,69,77,78,80,82,84,86,90,111,
114,115,121,125,149,158,168,179,227,234,277,278,280,291,305,318,319,325,331,
354,360,393,417,430,448,458,634,635,645,647,721,724,725,760,836,856,1015,1203,
1217,1222,1237,1347,1713,1717,1718,2042],[1,2,5,6,8,10,14,15,20,21,22,23,29,
36,45,50,72,77,78,80,82,84,86,90,101,109,115,132,135,149,158,168,179,226,227,
233,271,280,282,291,298,311,320,322,331,348,354,393,417,430,450,455,634,647,
651,661,720,721,727,770,836,852,925,1203,1216,1225,1264,1349,1714,1718,1719,
2043],[1,2,5,8,9,10,14,15,20,21,25,29,30,39,44,45,50,60,72,84,86,90,101,108,
112,115,132,143,152,153,158,167,179,217,219,226,227,235,280,298,306,316,322,
331,356,386,450,526,554,563,582,612,634,641,651,655,720,808,849,859,896,924,
956,1203,1216,1223,1277,1575,1707,1711,1714,2044],[1,2,5,8,9,10,15,20,21,29,
33,39,44,45,50,60,69,84,86,90,112,115,121,123,125,143,152,153,158,167,179,209,
216,227,235,280,297,306,318,325,331,356,386,458,525,526,537,563,609,634,635,
642,655,724,778,859,865,918,956,963,1203,1217,1223,1275,1538,1702,1711,1717,
2045],[1,2,5,7,9,10,15,20,21,28,37,39,44,50,57,64,78,80,84,90,115,120,127,130,
133,152,153,155,167,227,229,238,280,290,294,310,386,395,417,445,516,517,523,
548,550,634,644,649,653,722,793,853,862,870,885,943,1203,1218,1221,1257,1523,
1708,1710,1715,2046],[1,2,4,5,6,9,10,15,18,20,21,22,23,26,36,39,44,49,50,52,
60,77,82,84,90,91,92,109,112,115,118,135,136,137,138,149,152,153,167,168,189,
196,199,200,223,227,228,233,235,280,306,311,313,320,341,344,352,354,363,386,
388,396,419,452,455,477,480,489,526,557,561,563,564,580,617,634,654,655,661,
683,684,727,811,846,928,956,959,1004,1044,1086,1109,1124,1203,1206,1209,1223,
1225,1269,1630,1705,1711,1719,1724,1736,2047],[1,2,4,5,8,10,15,18,20,21,26,29,
45,50,52,69,84,86,90,91,92,104,115,117,118,121,124,125,136,137,138,155,158,
172,178,179,223,227,228,280,281,293,313,318,325,331,341,352,363,388,392,395,
396,416,421,439,444,458,462,468,472,490,497,538,542,634,635,652,654,724,779,
846,857,860,1003,1025,1061,1074,1081,1163,1203,1206,1209,1212,1217,1226,1505,
1705,1716,1717,1741,1749,2048],[1,2,4,5,7,8,12,15,18,19,20,21,26,28,29,31,34,
35,38,43,56,69,79,81,86,90,91,92,100,104,106,107,113,117,119,121,124,125,129,
130,131,134,136,137,140,142,147,159,160,164,165,172,178,225,237,244,273,274,
281,283,293,313,318,321,333,350,351,358,372,375,376,383,392,407,409,410,415,
416,421,454,457,466,474,482,490,491,498,507,513,545,546,555,636,646,648,671,
726,779,850,893,935,947,972,1066,1097,1229,1238,1246,1302,1348,1704,2049],[1,
2,5,7,9,10,15,20,21,28,37,39,44,50,57,60,78,80,84,90,112,115,127,130,133,152,
153,155,167,227,229,235,280,290,291,306,386,395,417,516,517,523,526,548,563,
634,647,653,655,721,751,853,870,915,929,956,1203,1218,1223,1273,1537,1711,
1715,1718,2050],[1,2,5,6,8,12,15,20,21,22,29,31,34,35,36,40,56,59,69,78,79,81,
82,86,90,100,106,109,121,125,129,135,141,145,147,214,218,225,230,237,278,294,
311,318,348,357,358,367,375,451,515,555,571,573,636,646,648,671,672,726,805,
874,899,917,934,951,1211,1249,1266,1517,1704,2051],[1,2,5,6,8,10,15,20,21,22,
23,29,36,45,50,69,77,78,80,82,84,86,90,109,115,121,125,135,149,158,168,179,
227,233,277,278,280,294,311,318,320,325,331,348,354,360,417,430,455,458,634,
635,649,661,722,724,727,805,852,854,1015,1203,1217,1225,1239,1346,1708,1717,
1719,2052],[1,2,5,8,9,12,15,20,21,29,31,33,34,35,39,41,42,56,67,69,79,81,86,
90,100,106,112,121,123,125,129,143,147,150,151,167,208,213,225,237,243,297,
306,318,358,359,374,375,479,525,529,534,543,554,555,636,646,648,671,675,726,
778,908,910,914,939,946,1248,1252,1276,1495,1704,2053],[1,2,5,8,12,15,20,21,
23,29,31,34,35,40,56,69,77,79,80,81,86,90,100,106,111,114,121,125,129,141,145,
147,225,232,237,277,291,305,318,357,358,367,375,393,437,471,483,555,581,636,
646,648,671,726,760,822,951,957,983,990,1213,1270,1282,1540,1704,2054],[1,2,4,
5,7,8,10,14,15,18,20,21,26,28,29,37,43,45,50,52,57,72,84,86,90,91,92,101,115,
118,122,127,130,132,133,136,137,138,155,158,160,164,175,179,223,226,227,228,
229,280,290,298,313,322,331,338,341,352,363,372,385,388,395,396,413,442,450,
453,462,523,533,536,542,548,575,634,651,653,654,656,676,720,740,839,846,870,
967,1025,1089,1106,1110,1175,1203,1206,1209,1216,1218,1262,1492,1705,1714,
1715,1742,1753,2055],[1,2,5,7,8,10,14,15,19,20,21,26,28,29,45,50,57,72,84,85,
88,89,92,101,102,104,115,118,119,121,124,125,127,132,134,138,140,142,155,158,
160,170,175,178,179,222,226,227,228,229,276,284,322,325,337,340,345,352,353,
363,365,377,389,401,403,413,416,429,439,442,444,450,458,462,464,468,472,473,
497,502,507,523,533,536,538,548,575,634,643,651,652,660,676,817,878,932,979,
1047,1048,1061,1081,1096,1106,1110,1133,1139,1148,1173,1205,1208,1209,1216,
1217,1218,1226,1271,1684,1703,1725,1730,1748,1749,1753,1754,2056],[1,3,5,8,9,
11,16,17,24,25,27,32,33,35,41,44,45,47,55,65,74,97,110,126,156,157,161,162,
163,166,176,181,182,184,188,190,195,208,216,217,236,239,241,323,402,412,424,
436,441,467,495,588,589,595,605,606,618,619,638,677,679,681,819,937,1041,1126,
1128,1151,1172,1219,1258,1281,1296,1688,1727,1728,1729,2057],[1,3,5,8,9,11,16,
17,24,27,30,32,33,35,41,44,45,47,55,68,74,97,110,126,146,157,161,163,166,169,
176,181,182,184,188,195,198,208,209,219,236,239,245,323,412,414,422,436,441,
467,495,588,590,601,602,606,611,618,638,681,682,687,819,1020,1045,1059,1128,
1131,1150,1219,1258,1267,1299,1692,1729,1731,1732,2058],[1,2,3,5,11,13,16,17,
21,24,25,27,30,33,51,54,55,73,75,93,97,103,108,123,126,146,156,163,195,224,
236,239,262,287,314,323,324,400,414,424,456,494,495,584,638,669,677,687,702,
851,989,1059,1172,1219,1220,1224,1306,1578,1728,1732,1734,2059],[1,2,4,5,7,8,
10,14,15,18,20,21,26,28,29,38,43,45,46,50,52,57,72,84,88,89,91,94,101,104,107,
115,118,121,122,125,127,130,132,136,138,142,155,158,159,164,172,173,175,179,
223,226,227,228,229,276,308,322,325,338,340,342,349,353,365,385,388,390,396,
401,403,418,421,439,442,444,446,450,454,458,468,472,497,514,523,532,533,536,
538,542,548,575,634,651,653,654,656,676,817,894,938,944,1037,1046,1048,1070,
1074,1089,1139,1148,1163,1168,1175,1205,1206,1207,1216,1217,1218,1226,1262,
1675,1709,1725,1730,1735,1741,1742,1752,2060],[1,2,3,5,8,12,13,16,17,21,24,27,
29,31,32,34,45,56,58,70,73,74,75,79,87,93,98,99,100,103,105,110,126,139,144,
154,157,166,171,176,177,179,201,225,231,237,256,258,260,261,285,295,304,314,
368,394,406,412,420,463,530,540,578,586,604,607,639,648,664,671,673,691,739,
758,771,816,868,1069,1227,1235,1293,1305,1318,1744,2061],[1,3,5,8,9,12,16,24,
25,27,31,32,33,34,42,44,45,47,58,62,67,70,98,99,110,126,139,144,154,156,169,
171,177,181,185,195,197,201,205,209,213,217,225,237,254,394,422,424,465,494,
578,586,588,594,598,600,604,615,616,639,658,664,673,675,691,816,1028,1052,
1113,1159,1164,1166,1297,1304,1307,1682,1744,2062],[1,2,3,5,9,11,13,16,17,21,
24,27,39,41,42,44,47,51,54,55,65,68,73,75,93,97,103,126,150,152,162,163,169,
174,181,182,184,185,192,197,224,236,239,241,245,247,253,262,287,314,323,324,
402,422,433,438,465,467,501,531,553,570,572,601,602,605,619,638,669,679,682,
689,690,702,845,920,1076,1103,1126,1131,1185,1219,1220,1224,1267,1281,1286,
1483,1727,1731,1734,1766,1769,2063],[1,3,5,8,9,11,16,24,27,30,32,33,35,41,44,
45,47,55,65,70,97,110,126,144,146,157,161,162,163,177,181,182,184,188,195,198,
208,209,219,236,241,323,394,402,414,435,441,467,495,590,593,600,605,610,611,
619,638,640,679,687,814,1008,1045,1059,1114,1126,1151,1219,1245,1281,1291,
1671,1727,1732,1757,2064],[1,2,3,10,13,14,15,16,17,24,50,53,70,71,73,74,93,
143,162,169,221,226,227,256,286,302,361,553,632,641,642,659,700,923,1014,1201,
1253,1650,1740,2065],[1,2,3,5,8,11,13,16,17,21,24,27,29,32,35,45,51,54,55,70,
73,74,75,87,93,97,103,105,110,126,129,144,154,157,161,163,166,176,177,179,188,
224,236,239,256,262,268,285,287,295,314,323,324,380,394,406,412,420,435,436,
441,463,577,610,618,638,640,669,681,702,728,739,747,814,819,993,1034,1219,
1220,1224,1228,1245,1258,1316,1729,1734,1757,1770,1788,2066],[1,2,4,5,6,7,9,
10,14,18,20,21,22,23,28,36,38,39,41,42,48,49,50,52,57,60,61,64,84,88,91,94,95,
107,109,111,112,114,115,118,120,122,135,138,148,149,150,153,168,193,196,200,
202,211,215,223,226,229,233,234,235,238,246,248,276,308,319,320,327,344,346,
381,388,390,391,396,403,408,418,425,432,445,448,452,455,480,499,510,526,528,
535,550,552,556,557,563,564,576,580,608,634,656,663,666,667,670,684,685,818,
820,919,944,1040,1044,1064,1084,1087,1124,1127,1129,1137,1154,1162,1205,1206,
1207,1221,1222,1223,1225,1301,1673,1709,1724,1726,1739,1746,1747,1750,2067],[
1,2,5,6,9,10,14,19,20,21,22,23,26,36,39,41,42,50,60,61,64,84,85,88,92,95,102,
109,111,112,114,115,118,119,120,135,138,148,149,150,153,168,189,199,203,204,
222,226,228,233,234,235,238,276,284,319,320,327,345,346,352,363,370,377,381,
391,397,398,403,419,440,445,448,455,477,480,508,526,535,550,552,556,557,563,
564,567,576,580,597,634,660,665,666,667,674,678,683,818,961,979,1001,1042,
1058,1068,1086,1087,1109,1112,1120,1137,1162,1165,1205,1208,1209,1221,1222,
1223,1225,1294,1679,1703,1736,1737,1745,1746,1750,1755,2068],[1,2,3,8,12,13,
20,24,29,32,34,56,58,76,81,87,93,99,100,139,158,188,231,237,257,260,261,288,
301,379,380,399,428,646,671,673,691,804,991,1021,1251,1293,1305,1317,2069],[1,
3,5,8,9,12,16,24,27,30,31,32,33,34,42,44,45,47,58,63,67,70,98,99,110,126,139,
144,146,154,162,171,177,181,185,194,195,197,201,213,216,219,225,237,249,394,
402,414,465,494,578,586,588,591,599,600,603,604,613,639,657,664,673,675,691,
816,1008,1053,1057,1073,1098,1159,1288,1289,1300,1687,1744,2070],[1,2,3,9,11,
13,16,17,20,39,47,51,54,55,65,68,70,73,74,76,151,153,174,181,192,195,224,236,
239,241,245,247,253,256,263,296,411,572,584,600,606,631,669,679,682,689,690,
701,781,986,1143,1146,1202,1284,1286,1596,1756,1799,2071],[1,2,3,9,11,13,14,
15,16,17,24,39,47,51,54,55,65,68,69,71,72,73,93,143,148,167,174,181,182,185,
192,224,236,239,241,245,247,253,255,302,317,361,382,525,570,572,582,633,669,
679,682,689,690,703,855,922,923,1155,1200,1286,1292,1536,1758,1787,2072],[1,2,
3,6,7,9,10,13,20,22,23,26,28,39,47,48,50,53,57,60,61,64,76,84,92,94,96,112,
114,120,128,131,135,138,151,153,168,174,189,193,199,202,221,228,229,233,234,
235,238,248,252,259,300,307,319,320,328,363,398,411,418,419,425,427,432,447,
477,499,511,526,550,556,557,564,576,596,634,650,663,665,668,680,683,685,704,
732,824,830,837,976,1006,1109,1112,1127,1154,1204,1207,1209,1221,1222,1223,
1225,1285,1638,1720,1726,1733,1736,1737,1738,1747,2073],[1,2,3,11,13,14,15,16,
17,24,51,54,55,69,71,72,73,93,162,169,195,224,236,239,255,302,317,553,584,633,
669,677,687,703,964,1014,1200,1306,1645,1758,2074],[1,2,3,7,8,10,13,14,15,20,
26,28,29,32,46,50,53,57,71,76,84,87,92,94,101,104,124,125,127,128,130,131,138,
155,158,159,160,165,173,175,178,221,226,227,228,229,259,300,301,307,312,322,
325,329,342,349,363,378,387,413,416,418,446,462,468,497,504,506,513,523,536,
538,575,634,650,652,653,659,676,705,732,971,980,1005,1010,1030,1037,1061,1070,
1106,1204,1207,1209,1216,1217,1218,1226,1230,1641,1720,1735,1743,1749,1751,
1752,1753,2075],[1,2,3,4,6,9,10,13,18,19,20,22,23,39,47,49,50,52,53,60,61,64,
76,83,84,85,91,96,112,113,114,118,120,135,151,153,168,174,196,200,203,204,221,
222,223,233,234,235,238,246,252,259,289,303,319,320,328,344,370,377,396,397,
408,411,427,452,480,526,535,550,552,559,562,567,580,592,634,637,668,670,674,
678,680,684,704,749,844,886,976,982,1023,1042,1044,1064,1068,1204,1206,1208,
1221,1222,1223,1225,1287,1664,1721,1724,1733,1738,1739,1745,1755,2076],[1,3,5,
8,9,11,16,24,25,27,32,33,35,41,44,45,47,55,68,70,97,110,126,144,156,157,161,
163,169,177,181,182,184,188,190,195,208,216,217,236,245,323,394,422,424,435,
441,467,495,589,593,595,600,601,602,610,638,640,677,682,814,1028,1041,1114,
1131,1150,1172,1219,1245,1267,1298,1678,1728,1731,1757,2077],[1,2,3,9,10,13,
14,15,16,17,24,39,47,50,53,60,64,70,71,73,74,93,148,167,174,181,182,185,192,
195,221,226,227,235,238,252,256,286,302,382,570,572,584,600,606,632,644,655,
659,667,680,700,855,964,1143,1147,1201,1231,1303,1550,1740,1797,2078],[1,2,3,
4,7,8,10,13,14,15,18,19,20,26,28,29,32,43,50,52,53,57,71,76,83,84,85,87,91,
101,102,104,113,118,122,125,127,128,134,136,140,155,158,164,165,170,172,221,
222,223,226,227,228,229,259,289,301,303,312,322,325,329,337,377,378,385,396,
404,421,429,442,444,464,472,518,520,523,533,538,542,546,634,637,643,650,654,
656,659,660,705,749,867,1000,1007,1010,1031,1047,1074,1133,1175,1204,1206,
1208,1216,1217,1218,1226,1233,1648,1721,1741,1742,1743,1748,1751,1754,2079],[
1,2,3,11,13,16,17,20,51,54,55,70,73,74,76,112,120,195,224,236,239,256,263,296,
328,584,631,669,677,687,701,743,986,1202,1306,1669,1756,2080],[1,2,3,4,6,9,12,
13,18,19,20,22,23,39,47,49,56,58,59,62,63,66,67,76,81,83,85,91,96,112,113,114,
120,135,141,151,153,168,174,196,200,203,204,230,231,232,240,242,243,244,249,
250,251,254,257,273,275,303,328,344,366,370,397,408,411,427,452,492,521,522,
543,544,558,559,562,567,571,581,592,646,662,692,693,694,695,696,697,699,829,
879,982,1017,1023,1029,1035,1067,1123,1171,1238,1249,1251,1252,1265,1279,1282,
1308,1642,1762,1767,1773,1775,1778,1786,1792,2081],[1,2,3,4,5,6,7,9,12,13,18,
19,21,22,23,25,26,27,28,30,31,33,36,37,38,39,40,41,42,44,47,48,49,56,58,59,62,
63,66,67,75,79,83,96,98,107,108,109,111,116,117,119,123,128,133,137,142,145,
146,149,150,152,156,174,180,183,184,186,187,189,191,193,194,196,197,199,200,
202,203,204,205,207,211,212,213,215,218,225,230,231,232,240,242,243,244,249,
250,251,254,258,272,274,336,355,362,400,409,423,431,433,440,460,470,476,483,
486,508,510,512,528,534,549,560,565,566,568,569,573,583,587,591,592,596,614,
615,617,620,623,648,657,658,662,664,672,675,686,692,693,694,695,696,697,729,
838,876,1051,1054,1055,1078,1083,1091,1102,1145,1153,1158,1170,1180,1235,1246,
1248,1259,1266,1268,1270,1283,1289,1290,1297,1308,1672,1771,1774,1779,1781,
1789,1791,1793,2082],[1,2,3,4,6,7,9,12,13,14,15,18,19,22,23,26,28,39,47,48,49,
56,58,59,62,63,66,67,69,71,72,77,78,80,82,83,95,96,102,122,124,128,130,134,
136,143,148,167,174,175,189,193,196,199,200,202,203,204,230,231,232,240,242,
243,244,249,250,251,254,255,270,271,277,278,279,281,282,283,338,361,382,387,
389,404,449,459,478,481,484,485,489,505,509,516,517,525,527,541,561,574,582,
585,592,596,597,608,636,662,692,693,694,695,696,697,719,723,922,1043,1065,
1075,1077,1104,1115,1116,1118,1130,1157,1174,1177,1210,1211,1213,1229,1236,
1276,1278,1308,1691,1723,1768,1776,1780,1782,1795,1796,2083],[1,2,3,4,6,7,9,
10,13,14,15,18,19,22,23,26,28,39,47,48,49,50,52,53,57,60,61,64,69,71,72,77,78,
80,82,83,95,96,102,122,124,128,130,134,136,143,148,167,174,175,189,193,196,
199,200,202,203,204,221,222,223,226,227,228,229,233,234,235,238,246,248,252,
255,270,271,277,278,279,281,282,283,338,361,382,387,389,404,449,459,478,481,
484,485,489,505,509,516,517,525,527,541,561,574,582,585,592,596,597,608,635,
637,641,642,643,644,645,647,649,650,651,652,653,654,655,656,659,660,661,663,
665,666,667,668,670,674,676,678,680,683,684,685,719,723,922,1043,1065,1075,
1077,1104,1115,1116,1118,1130,1157,1174,1177,1212,1214,1215,1230,1231,1232,
1233,1234,1237,1239,1240,1241,1242,1243,1244,1247,1250,1253,1254,1255,1256,
1257,1260,1261,1262,1263,1264,1269,1271,1272,1273,1274,1275,1277,1280,1285,
1287,1294,1301,1691,1722,1759,1760,1761,1763,1764,1765,1772,1777,1783,1784,
1785,1790,1794,1798,2084],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,34,
35,45,69,70,71,72,73,74,75,76,79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,
105,106,110,115,121,125,126,129,132,139,144,147,154,157,158,161,163,166,171,
176,177,179,188,201,255,256,257,258,259,260,261,262,263,264,265,266,267,268,
269,276,280,285,286,287,288,295,296,298,299,301,302,304,309,312,314,315,317,
318,322,323,324,325,331,334,347,353,358,368,375,379,380,394,399,401,405,406,
412,420,428,435,436,441,450,458,463,487,530,540,555,577,578,586,604,607,610,
618,698,700,701,702,703,705,706,708,709,711,712,713,715,716,717,718,720,724,
726,728,733,735,738,739,742,744,745,746,747,750,758,759,765,766,769,771,784,
787,791,798,799,804,809,810,814,816,817,819,821,825,826,827,832,835,840,847,
868,873,875,953,955,974,977,991,993,994,995,996,999,1021,1022,1026,1034,1069,
1309,1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,1333,1334,
1358,1365,1369,1375,1384,1418,1419,1422,1433,1434,1437,1454,1466,1469,1473,
1489,1497,1502,1534,1567,1583,1594,1654,1808,1810,1823,1824,1857,1933,2085],[
1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,40,70,71,73,74,75,76,78,80,81,84,
87,88,90,93,101,103,105,106,110,115,125,126,144,145,147,158,166,176,177,256,
257,259,263,264,265,266,269,270,276,280,285,286,288,291,294,296,301,302,312,
314,315,322,325,330,334,358,367,379,394,399,405,406,412,417,420,431,463,698,
700,701,705,709,711,712,715,717,718,721,722,733,739,742,744,746,755,766,776,
787,804,821,826,874,875,930,957,977,996,999,1309,1313,1321,1325,1339,1357,
1365,1380,1399,1413,1419,1433,1466,1808,1814,1833,2086],[1,2,3,5,6,8,13,14,15,
16,17,20,21,22,23,24,27,29,32,36,70,71,73,74,75,76,77,81,82,84,87,88,90,93,95,
96,101,103,105,106,109,110,111,114,115,125,126,135,141,144,147,149,158,166,
168,176,177,256,257,259,263,264,265,266,269,276,279,280,285,286,288,296,301,
302,305,311,312,314,315,319,320,322,325,334,339,346,354,357,358,366,379,381,
394,399,405,406,412,420,423,427,437,448,455,463,515,571,581,698,700,701,704,
705,709,711,712,715,717,718,725,727,733,739,742,744,746,763,766,775,782,787,
789,802,804,818,821,826,875,879,880,934,968,977,987,990,996,999,1134,1309,
1314,1321,1325,1341,1360,1365,1374,1411,1415,1419,1433,1452,1453,1455,1464,
1466,1808,1809,1826,1827,1924,2087],[1,2,3,5,7,8,13,14,15,16,17,20,21,24,26,
27,28,29,32,37,40,46,71,73,75,76,81,84,87,88,90,92,93,94,101,103,104,106,115,
117,124,125,126,127,128,130,131,133,142,144,145,147,155,159,160,165,173,175,
176,178,195,257,259,263,264,265,266,269,276,280,290,293,296,300,302,312,314,
315,329,330,333,334,336,340,342,343,349,358,365,367,371,378,387,395,399,405,
406,410,413,416,431,439,461,474,475,482,494,495,504,506,513,519,523,538,545,
548,584,698,707,709,711,712,715,717,718,748,755,762,774,786,788,821,828,860,
870,875,884,889,930,947,952,964,986,989,1005,1010,1032,1038,1139,1321,1327,
1336,1339,1357,1376,1380,1391,1395,1398,1410,1420,1429,1438,1472,1817,1825,
1833,1979,2088],[1,2,3,5,6,8,13,14,15,16,17,20,21,22,23,24,27,29,31,32,34,35,
36,40,45,69,71,72,73,75,76,77,78,79,80,81,82,84,86,87,88,89,90,93,95,96,98,
100,101,103,105,106,109,110,111,114,115,121,125,126,129,132,135,139,141,144,
145,147,149,154,157,158,161,163,166,168,171,176,177,179,188,201,214,218,255,
257,258,259,260,263,264,265,266,267,268,269,270,271,276,277,278,279,280,282,
285,287,288,291,294,295,296,298,299,301,302,304,305,309,311,312,314,315,317,
318,319,320,322,325,330,331,334,339,346,347,348,353,354,357,358,360,366,367,
368,375,379,380,381,393,399,401,405,406,417,420,423,427,428,430,431,437,441,
448,450,451,455,458,471,483,487,515,540,555,571,573,577,581,586,604,607,610,
618,698,703,704,705,706,708,709,711,712,713,715,716,717,718,720,721,722,723,
724,725,726,727,733,738,742,745,746,747,755,758,759,760,763,765,766,769,770,
775,776,782,784,789,791,792,798,799,802,804,805,809,817,818,821,822,825,832,
836,840,847,852,854,856,868,871,873,874,875,876,879,880,881,899,917,925,930,
934,951,955,957,958,968,974,977,983,987,990,991,993,994,995,999,1015,1026,
1039,1063,1134,1156,1311,1312,1313,1314,1320,1321,1323,1324,1334,1339,1341,
1345,1346,1347,1349,1358,1360,1371,1374,1396,1399,1406,1413,1418,1422,1424,
1433,1444,1447,1452,1453,1454,1455,1459,1460,1464,1491,1504,1517,1525,1528,
1534,1540,1583,1654,1804,1814,1824,1827,1828,1831,1836,1848,1856,1912,1959,
2089],[1,2,3,5,7,8,13,14,15,16,17,20,21,24,26,27,28,29,32,37,46,71,73,75,76,
81,84,87,88,90,92,93,94,101,103,104,106,115,117,124,125,126,127,128,130,131,
133,141,142,144,147,155,159,160,162,165,169,173,175,176,178,257,259,263,264,
265,266,269,276,280,290,293,296,300,302,312,314,315,329,333,334,336,339,340,
342,343,349,357,358,365,366,371,378,387,395,399,402,405,406,410,413,416,422,
439,461,474,475,482,504,506,513,519,523,531,538,545,548,553,698,707,709,711,
712,715,717,718,748,762,774,775,782,786,788,802,821,828,860,870,875,884,889,
920,947,952,1005,1010,1011,1014,1032,1038,1139,1321,1327,1336,1341,1372,1376,
1395,1398,1411,1415,1420,1429,1438,1449,1450,1817,1826,1841,1980,2090],[1,2,3,
5,8,13,14,15,16,17,20,21,24,27,29,31,32,34,35,45,69,71,72,73,75,76,79,81,84,
86,87,88,89,90,93,98,100,101,103,105,106,110,115,121,125,126,129,132,139,144,
147,154,157,158,161,162,163,166,169,171,176,177,179,188,195,201,255,257,258,
259,260,263,264,265,266,267,268,269,276,280,285,287,288,295,296,298,299,301,
302,304,309,312,314,315,317,318,322,325,331,334,347,353,358,368,375,379,380,
399,401,402,405,406,420,422,428,441,450,458,487,494,495,531,540,553,555,577,
584,586,604,607,610,618,698,703,705,706,708,709,711,712,713,715,716,717,718,
720,724,726,733,738,742,745,746,747,758,759,765,766,769,784,791,798,799,804,
809,817,821,825,832,840,847,868,873,875,920,955,964,974,977,986,989,991,993,
994,995,999,1011,1014,1026,1052,1053,1150,1151,1311,1312,1320,1321,1323,1324,
1334,1358,1372,1391,1410,1418,1422,1433,1449,1450,1454,1472,1534,1558,1583,
1645,1654,1662,1667,1824,1825,1841,1845,1889,2091],[1,2,3,4,5,7,8,13,14,15,16,
17,18,19,20,21,24,26,27,28,29,32,38,43,70,71,73,74,75,76,81,83,84,85,87,88,90,
91,92,93,94,101,102,103,104,105,106,107,110,113,115,116,118,119,122,125,126,
127,128,131,134,136,137,138,140,144,147,155,158,164,165,166,170,172,176,177,
256,257,259,263,264,265,266,269,273,275,276,280,284,285,286,288,289,292,296,
300,301,302,303,307,308,312,313,314,315,322,325,329,332,333,334,335,337,341,
345,350,352,358,362,363,369,371,376,377,378,379,385,388,390,394,396,399,403,
404,405,406,412,415,418,420,421,429,442,444,457,463,464,469,472,491,500,518,
520,523,533,538,542,546,698,699,700,701,705,707,709,710,711,712,714,715,717,
718,732,733,734,736,739,742,744,746,749,756,761,766,773,780,783,785,787,788,
801,803,804,821,826,842,846,867,875,889,891,892,893,897,901,944,954,977,979,
984,996,999,1000,1007,1010,1031,1033,1047,1074,1133,1175,1309,1321,1322,1325,
1326,1328,1329,1331,1337,1338,1340,1354,1365,1377,1383,1397,1402,1419,1427,
1431,1433,1438,1443,1446,1466,1471,1476,1545,1553,1648,1655,1806,1808,1815,
1821,1834,1838,1839,1887,1916,1931,1942,2092],[1,2,3,5,6,8,13,14,15,16,17,20,
21,22,23,24,27,29,31,32,35,36,40,45,71,73,75,76,77,79,81,82,84,87,88,90,93,95,
96,97,98,99,101,103,106,109,111,114,115,121,125,126,129,132,135,141,144,145,
147,149,154,157,158,161,163,166,168,171,176,177,179,188,201,214,218,257,258,
259,261,262,263,264,265,266,268,269,276,279,280,286,287,288,295,296,299,301,
302,304,305,309,311,312,314,315,317,319,320,323,324,330,334,339,346,347,354,
357,358,366,367,368,375,379,380,381,399,405,406,420,423,427,428,431,437,448,
450,451,455,458,471,483,515,530,540,571,573,578,581,586,610,618,698,702,704,
709,711,712,713,715,716,717,718,725,727,735,738,744,746,750,755,758,759,763,
765,769,771,775,782,784,789,791,802,804,809,810,818,821,825,826,827,832,835,
840,847,873,875,876,879,880,881,899,930,934,953,955,968,974,977,983,987,990,
993,996,1021,1063,1134,1156,1314,1315,1320,1321,1333,1339,1341,1357,1360,1374,
1375,1380,1384,1418,1419,1424,1452,1453,1455,1460,1464,1469,1473,1502,1504,
1528,1530,1552,1567,1654,1823,1827,1831,1833,1862,1909,1915,1981,2093],[1,2,3,
5,8,9,13,14,15,16,17,20,21,24,27,29,31,32,35,39,41,42,44,45,47,71,73,75,76,79,
81,84,87,88,90,93,97,98,99,101,103,106,112,115,120,121,125,126,129,132,144,
147,148,150,151,152,153,154,157,158,161,162,163,166,167,169,171,174,176,177,
179,181,182,184,185,188,192,197,201,257,258,259,261,262,263,264,265,266,268,
269,276,280,286,287,288,295,296,299,301,302,304,306,309,310,312,314,315,317,
323,324,327,328,334,347,358,359,368,375,379,380,382,386,391,399,402,405,406,
411,420,422,428,433,434,438,445,450,458,465,467,501,526,529,530,531,540,543,
544,550,553,563,570,572,578,579,586,594,598,599,601,602,603,605,610,618,619,
698,702,709,711,712,713,715,716,717,718,735,738,743,744,746,750,752,758,759,
765,769,771,772,781,784,790,791,800,804,809,810,821,825,826,827,832,835,840,
845,847,855,873,875,885,902,920,931,946,953,955,956,966,974,976,977,993,996,
1011,1014,1021,1029,1076,1095,1098,1100,1103,1126,1131,1142,1162,1164,1185,
1186,1315,1320,1321,1330,1333,1335,1351,1361,1372,1375,1382,1384,1401,1418,
1419,1426,1435,1449,1450,1469,1473,1483,1502,1510,1518,1539,1567,1589,1590,
1595,1643,1654,1818,1823,1841,1854,1950,1952,1953,1978,2094],[1,2,3,5,8,13,14,
15,16,17,20,21,24,25,27,29,30,31,32,33,35,45,71,73,75,76,79,81,84,87,88,90,93,
97,98,99,101,103,106,108,115,121,123,125,126,129,132,143,144,146,147,154,156,
157,158,161,163,166,171,176,177,179,188,195,201,257,258,259,261,262,263,264,
265,266,268,269,276,280,286,287,288,295,296,297,299,301,302,304,309,312,314,
315,316,317,323,324,334,347,356,358,361,368,374,375,379,380,399,400,405,406,
414,420,424,426,428,450,456,458,494,495,530,540,578,584,586,610,618,698,702,
709,711,712,713,715,716,717,718,731,735,738,741,744,746,750,758,759,765,769,
771,784,791,804,809,810,821,825,826,827,832,835,840,847,851,865,872,873,875,
896,908,923,953,955,964,974,977,986,989,993,996,1021,1057,1059,1166,1172,1315,
1320,1321,1333,1342,1343,1370,1375,1384,1391,1410,1418,1419,1439,1469,1472,
1473,1502,1519,1555,1567,1578,1606,1654,1812,1823,1825,1863,1949,2095],[1,2,3,
4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,31,32,34,35,37,38,43,45,46,
69,71,72,73,75,76,79,81,83,84,85,86,87,88,89,90,91,92,93,94,98,100,101,102,
103,104,105,106,107,110,113,115,116,117,118,119,121,122,124,125,126,127,128,
129,130,131,132,133,134,136,137,138,139,140,142,144,147,154,155,157,158,159,
160,161,163,164,165,166,170,171,172,173,175,176,177,178,179,180,188,201,206,
210,255,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,280,
281,283,284,285,287,288,289,290,292,293,295,296,298,299,300,301,302,303,304,
307,308,309,312,313,314,315,317,318,321,322,325,326,329,331,332,333,334,335,
336,337,338,340,341,342,343,345,347,349,350,351,352,353,355,358,362,363,364,
365,368,369,371,372,373,375,376,377,378,379,380,383,384,385,387,388,389,390,
392,395,396,399,401,403,404,405,406,407,409,410,413,415,416,418,420,421,428,
429,439,441,442,443,444,446,450,453,454,457,458,461,462,464,466,468,469,472,
473,474,475,482,487,488,490,491,496,497,498,500,502,503,504,506,507,513,514,
518,519,520,523,532,533,536,538,540,542,545,546,548,555,575,577,586,604,607,
610,618,698,699,703,705,706,707,708,709,710,711,712,713,714,715,716,717,718,
719,720,724,726,729,732,733,734,736,738,740,742,745,746,747,748,749,756,758,
759,761,762,764,765,766,768,769,773,774,779,780,783,784,785,786,788,791,798,
799,801,803,804,809,815,817,821,825,828,832,833,839,840,842,846,847,850,857,
860,861,866,867,868,870,873,875,877,878,882,884,889,890,891,892,893,894,895,
897,901,932,935,936,938,942,944,947,952,954,955,967,971,972,974,977,979,980,
984,988,991,992,993,994,995,999,1000,1003,1005,1007,1010,1025,1026,1030,1031,
1032,1033,1036,1037,1038,1046,1047,1048,1060,1061,1066,1070,1071,1072,1074,
1081,1089,1096,1097,1099,1106,1110,1119,1133,1138,1139,1148,1163,1168,1169,
1173,1175,1181,1311,1312,1320,1321,1322,1323,1324,1327,1328,1329,1331,1334,
1336,1337,1340,1344,1348,1354,1358,1363,1367,1376,1377,1383,1387,1395,1398,
1402,1403,1404,1408,1417,1418,1420,1421,1422,1427,1429,1432,1433,1438,1442,
1443,1446,1454,1462,1488,1490,1492,1493,1499,1501,1505,1512,1529,1534,1545,
1553,1568,1573,1583,1588,1592,1602,1612,1617,1629,1632,1633,1641,1644,1648,
1654,1655,1656,1675,1684,1805,1815,1816,1817,1822,1824,1830,1855,1864,1872,
1876,1884,1886,1887,1929,1976,1984,2096],[1,2,3,5,7,8,13,14,15,16,17,20,21,24,
26,27,28,29,32,37,46,70,71,73,74,75,76,81,84,87,88,90,92,93,94,101,103,104,
105,106,110,115,117,124,125,126,127,128,130,131,133,138,142,144,147,155,158,
159,160,165,166,173,175,176,177,178,256,257,259,263,264,265,266,269,276,280,
285,286,288,290,293,296,300,301,302,307,312,314,315,322,325,329,333,334,336,
340,342,343,349,358,363,365,371,378,379,387,394,395,399,405,406,410,412,413,
416,418,420,439,446,461,462,463,468,474,475,482,497,504,506,513,519,523,536,
538,545,548,575,698,700,701,705,707,709,711,712,714,715,717,718,732,733,739,
742,744,746,748,762,766,774,780,786,787,788,804,821,826,828,860,870,875,884,
889,890,942,947,952,971,977,980,992,996,999,1005,1010,1030,1032,1037,1038,
1061,1070,1106,1139,1309,1319,1321,1322,1325,1327,1332,1336,1338,1365,1367,
1376,1395,1398,1408,1419,1420,1429,1431,1432,1433,1438,1466,1467,1474,1490,
1493,1573,1641,1808,1817,1837,1838,1886,1892,1945,1954,1956,2097],[1,2,3,5,7,
8,13,14,15,16,17,20,21,24,26,27,28,29,31,32,35,37,45,46,71,73,75,76,79,81,84,
87,88,90,92,93,94,97,98,99,101,103,104,106,115,117,118,121,124,125,126,127,
128,129,130,131,132,133,142,144,147,154,155,157,158,159,160,161,163,165,166,
171,173,175,176,177,178,179,188,201,257,258,259,261,262,263,264,265,266,268,
269,276,280,286,287,288,289,290,293,295,296,299,300,301,302,304,309,312,314,
315,317,323,324,329,333,334,336,340,342,343,347,349,352,358,365,368,371,375,
378,379,380,387,390,395,399,405,406,410,413,416,420,428,439,442,444,446,450,
458,461,462,472,474,475,482,504,506,513,519,523,530,533,538,540,545,548,578,
586,610,618,698,702,707,709,710,711,712,713,715,716,717,718,735,738,744,746,
748,750,758,759,762,765,769,771,774,783,784,786,788,791,803,804,809,810,821,
825,826,827,828,832,835,840,847,860,870,873,875,884,889,891,942,947,952,953,
955,974,977,980,993,996,1000,1005,1010,1021,1031,1032,1033,1038,1046,1081,
1110,1139,1168,1315,1320,1321,1326,1327,1328,1332,1333,1336,1338,1375,1376,
1383,1384,1395,1397,1398,1408,1418,1419,1420,1429,1438,1446,1469,1471,1473,
1474,1501,1502,1512,1567,1592,1654,1656,1817,1823,1834,1840,1842,1907,1916,
1929,1954,2098],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,25,27,29,30,31,32,33,34,
35,39,41,42,44,45,47,69,71,72,73,75,76,79,81,84,86,87,88,89,90,93,98,100,101,
103,105,106,108,110,112,115,120,121,123,125,126,129,132,139,143,144,146,147,
148,150,151,152,153,154,156,157,158,161,163,166,167,171,174,176,177,179,181,
182,184,185,188,190,192,194,197,198,201,205,208,209,213,216,217,219,255,257,
258,259,260,263,264,265,266,267,268,269,276,280,285,287,288,295,296,297,298,
299,301,302,304,306,309,310,312,314,315,316,317,318,322,325,327,328,331,334,
347,353,356,358,359,361,368,374,375,379,380,382,386,391,399,400,401,405,406,
411,414,420,424,426,428,433,434,438,441,445,450,456,458,465,467,479,487,501,
524,525,526,529,534,537,540,543,544,550,554,555,563,570,572,577,579,582,586,
587,589,590,591,595,604,607,609,610,611,612,613,615,616,618,698,703,705,706,
708,709,711,712,713,715,716,717,718,720,724,726,731,733,738,741,742,743,745,
746,747,752,754,758,759,765,766,769,772,778,781,784,790,791,798,799,800,804,
808,809,813,817,821,825,832,838,840,845,847,849,851,855,858,859,865,868,872,
873,875,883,885,888,896,900,902,908,910,914,918,922,923,924,931,939,946,955,
956,963,966,970,974,976,977,991,993,994,995,999,1009,1026,1029,1041,1045,1062,
1073,1095,1105,1113,1140,1155,1162,1187,1188,1311,1312,1320,1321,1323,1324,
1330,1334,1335,1342,1343,1351,1358,1361,1362,1370,1373,1381,1382,1386,1389,
1401,1405,1409,1418,1422,1426,1433,1435,1439,1441,1454,1478,1484,1495,1514,
1534,1536,1538,1575,1581,1583,1587,1593,1607,1654,1670,1812,1813,1818,1820,
1824,1832,1835,1853,1865,1900,1904,2099],[1,2,3,5,8,13,14,15,16,17,20,21,24,
27,29,31,32,34,35,45,69,71,72,73,75,76,79,81,84,86,87,88,89,90,93,98,100,101,
103,105,106,110,115,118,121,125,126,129,132,138,139,144,147,154,155,157,158,
161,163,166,171,176,177,179,188,201,255,257,258,259,260,263,264,265,266,267,
268,269,276,280,285,287,288,289,295,296,298,299,301,302,304,307,309,312,314,
315,317,318,322,325,331,334,341,347,353,358,365,368,375,378,379,380,395,399,
401,403,405,406,420,428,441,442,450,458,472,487,497,540,555,575,577,586,604,
607,610,618,698,703,705,706,708,709,710,711,712,713,714,715,716,717,718,720,
724,726,733,734,738,742,745,746,747,748,758,759,765,766,769,773,774,784,788,
791,798,799,804,809,817,821,825,832,840,847,868,873,875,890,891,955,967,971,
974,977,991,993,994,995,999,1003,1026,1031,1048,1311,1312,1319,1320,1321,1323,
1324,1326,1331,1332,1334,1336,1338,1358,1397,1403,1404,1418,1422,1431,1432,
1433,1446,1454,1467,1471,1474,1476,1534,1583,1633,1654,1816,1824,1834,1837,
1842,1843,1913,1931,1945,2100],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,
22,23,24,26,27,28,29,32,36,38,39,41,42,43,44,47,48,49,71,73,75,76,77,81,82,83,
84,85,87,88,90,91,92,93,94,95,96,101,102,103,104,106,107,109,111,112,113,114,
115,116,118,119,120,122,125,126,127,128,131,134,135,136,137,138,140,141,144,
147,148,149,150,151,152,153,164,165,167,168,170,172,174,176,181,182,184,185,
189,192,193,196,197,199,200,202,203,204,211,215,257,259,263,264,265,266,269,
273,275,276,279,280,284,289,292,296,300,302,303,305,306,307,308,310,311,312,
313,314,315,319,320,327,328,329,332,333,334,335,337,339,341,344,345,346,350,
352,354,357,358,359,362,363,366,369,370,371,376,377,381,382,385,386,388,390,
391,396,397,398,399,403,404,405,406,408,411,415,418,419,421,423,425,427,429,
432,433,434,437,438,440,445,447,448,449,452,455,457,465,467,469,477,480,489,
491,492,493,499,500,501,508,509,510,511,515,518,520,521,522,526,528,529,535,
539,543,544,546,547,550,551,552,556,557,558,559,561,562,563,564,567,570,571,
572,576,579,580,581,592,596,597,608,614,617,698,699,704,707,709,710,711,712,
714,715,717,718,725,727,732,734,736,743,749,752,756,757,761,763,772,773,775,
780,781,782,783,785,789,790,796,800,801,802,803,807,811,818,820,821,824,829,
830,837,844,845,846,855,875,879,880,885,886,887,892,893,897,901,902,905,909,
919,921,926,928,931,934,940,941,944,946,954,956,959,960,961,962,965,966,968,
976,979,981,982,984,985,987,990,1001,1004,1006,1007,1013,1016,1017,1019,1023,
1024,1027,1029,1035,1040,1042,1044,1055,1058,1064,1067,1068,1075,1082,1084,
1085,1086,1087,1088,1095,1101,1107,1108,1109,1111,1112,1117,1120,1123,1124,
1127,1129,1134,1135,1137,1154,1162,1165,1171,1176,1178,1182,1183,1184,1314,
1321,1322,1328,1329,1330,1331,1335,1337,1340,1341,1351,1354,1355,1360,1361,
1368,1374,1377,1382,1388,1393,1401,1412,1426,1427,1435,1443,1452,1453,1455,
1456,1458,1461,1464,1481,1485,1498,1522,1532,1544,1546,1557,1561,1585,1591,
1600,1601,1608,1611,1614,1615,1616,1623,1628,1630,1635,1636,1637,1638,1640,
1642,1646,1647,1661,1663,1664,1673,1674,1679,1680,1815,1818,1827,1866,1895,
1906,1908,1918,1920,1921,1922,1944,1947,1977,1983,2101],[1,2,3,4,5,7,8,13,14,
15,16,17,18,19,20,21,24,25,26,27,28,29,30,32,33,38,40,43,71,73,75,76,78,80,81,
83,84,85,87,88,90,91,92,93,94,101,102,103,104,106,107,108,113,115,116,118,119,
122,123,125,126,127,128,131,134,136,137,138,140,143,144,145,146,147,156,164,
165,170,172,176,186,187,257,259,263,264,265,266,269,270,273,275,276,280,284,
289,291,292,294,296,297,300,302,303,307,308,312,313,314,315,316,329,330,332,
333,334,335,337,341,345,350,352,356,358,361,362,363,367,369,371,374,376,377,
385,388,390,396,399,400,403,404,405,406,414,415,417,418,421,424,426,429,431,
456,457,469,470,476,481,485,486,491,500,505,512,518,520,541,546,698,699,707,
709,710,711,712,714,715,717,718,721,722,730,731,732,734,736,741,749,753,755,
756,761,773,776,777,780,783,785,795,801,803,821,823,831,843,846,851,864,865,
869,872,874,875,892,893,896,897,901,904,906,908,916,923,930,944,948,950,954,
957,969,979,984,997,998,1007,1018,1054,1118,1313,1321,1322,1328,1329,1331,
1337,1339,1340,1342,1343,1354,1370,1377,1378,1379,1392,1399,1407,1413,1416,
1423,1427,1430,1439,1443,1457,1531,1541,1562,1566,1574,1577,1584,1618,1812,
1814,1815,1873,1874,1911,1938,1955,1960,2102],[1,2,3,4,5,7,8,13,14,15,16,17,
18,19,20,21,24,26,27,28,29,32,38,40,43,71,73,75,76,81,83,84,85,87,88,90,91,92,
93,94,101,102,103,104,106,107,113,115,116,118,119,122,125,126,127,128,131,134,
136,137,138,140,144,145,147,162,164,165,169,170,172,176,257,259,263,264,265,
266,269,273,275,276,280,284,289,292,296,300,302,303,307,308,312,313,314,315,
329,330,332,333,334,335,337,341,345,350,352,358,362,363,367,369,371,376,377,
385,388,390,396,399,402,403,404,405,406,415,418,421,422,429,431,457,469,491,
500,518,520,531,546,553,698,699,707,709,710,711,712,714,715,717,718,732,734,
736,749,755,756,761,773,780,783,785,801,803,821,846,875,892,893,897,901,920,
930,944,954,979,984,1007,1011,1014,1321,1322,1328,1329,1331,1337,1339,1340,
1354,1357,1372,1377,1380,1427,1443,1449,1450,1815,1833,1841,1871,1897,2103],[
1,2,3,5,7,8,9,13,14,15,16,17,20,21,24,26,27,28,29,32,37,39,40,41,42,44,46,47,
71,73,75,76,78,80,81,84,87,88,90,92,93,94,101,103,104,106,112,115,117,120,124,
125,126,127,128,130,131,133,142,144,145,147,148,150,151,152,153,155,159,160,
165,167,173,174,175,176,178,181,182,184,185,192,197,207,212,257,259,263,264,
265,266,269,270,276,280,290,291,293,294,296,300,302,306,310,312,314,315,327,
328,329,330,333,334,336,340,342,343,349,358,359,365,367,371,378,382,386,387,
391,395,399,405,406,410,411,413,416,417,431,433,434,438,439,445,461,465,467,
474,475,482,484,501,504,506,513,516,517,519,523,526,529,538,543,544,545,548,
549,550,563,565,569,570,572,574,579,583,698,707,709,711,712,715,717,718,721,
722,743,748,751,752,755,762,767,772,774,776,781,786,788,790,793,800,812,821,
828,834,845,848,853,855,860,862,870,874,875,884,885,889,902,903,913,915,927,
929,930,931,943,945,946,947,952,956,957,966,973,976,1005,1010,1029,1032,1038,
1049,1079,1095,1130,1139,1162,1170,1313,1321,1327,1330,1335,1336,1339,1351,
1361,1366,1376,1382,1390,1394,1395,1398,1399,1401,1413,1414,1420,1426,1428,
1429,1435,1438,1440,1445,1448,1503,1513,1523,1537,1543,1639,1649,1658,1814,
1817,1818,1844,1846,1852,1875,1896,1943,2104],[1,2,3,5,6,7,8,13,14,15,16,17,
20,21,22,23,24,25,26,27,28,29,30,32,33,36,37,46,71,73,75,76,77,81,82,84,87,88,
90,92,93,94,95,96,101,103,104,106,108,109,111,114,115,117,123,124,125,126,127,
128,130,131,133,135,141,142,143,144,146,147,149,155,156,159,160,165,168,173,
175,176,178,183,191,257,259,263,264,265,266,269,276,279,280,290,293,296,297,
300,302,305,311,312,314,315,316,319,320,329,333,334,336,339,340,342,343,346,
349,354,356,357,358,361,365,366,371,374,378,381,387,395,399,400,405,406,410,
413,414,416,423,424,426,427,437,439,448,455,456,459,460,461,474,475,478,482,
504,506,513,515,519,523,527,538,545,548,560,566,568,571,581,585,698,704,707,
709,711,712,715,717,718,725,727,731,737,741,748,762,763,774,775,782,786,788,
789,794,797,802,806,818,821,828,841,851,860,863,865,870,872,875,879,880,884,
889,896,898,907,908,911,912,923,933,934,947,949,952,968,975,978,987,990,1002,
1005,1010,1012,1032,1038,1077,1093,1132,1134,1139,1158,1314,1321,1327,1336,
1341,1342,1343,1350,1352,1360,1370,1374,1376,1395,1398,1400,1420,1425,1429,
1438,1439,1452,1453,1455,1463,1464,1465,1468,1470,1477,1479,1496,1572,1610,
1626,1652,1653,1812,1817,1827,1858,1867,1894,1910,1948,1951,2105],[1,2,3,4,5,
7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,31,32,35,38,43,45,71,73,75,76,
79,81,83,84,85,87,88,90,91,92,93,94,97,98,99,101,102,103,104,106,107,113,115,
116,118,119,121,122,125,126,127,128,129,131,132,134,136,137,138,140,144,147,
154,155,157,158,161,163,164,165,166,170,171,172,176,177,179,188,201,257,258,
259,261,262,263,264,265,266,268,269,273,275,276,280,284,286,287,288,289,292,
295,296,299,300,301,302,303,304,307,308,309,312,313,314,315,317,323,324,329,
332,333,334,335,337,341,345,347,350,352,358,362,363,368,369,371,375,376,377,
378,379,380,385,388,390,396,399,403,404,405,406,415,418,420,421,428,429,439,
450,457,458,464,468,469,491,497,500,518,520,530,536,540,542,546,548,575,578,
586,610,618,698,699,702,707,709,710,711,712,713,714,715,716,717,718,732,734,
735,736,738,744,746,749,750,756,758,759,761,765,769,771,773,780,783,784,785,
788,791,801,803,804,809,810,821,825,826,827,832,835,840,842,846,847,867,873,
875,884,890,892,893,897,901,944,953,954,955,971,974,977,979,984,992,993,996,
1007,1021,1030,1032,1089,1096,1163,1173,1315,1319,1320,1321,1322,1328,1329,
1331,1332,1333,1337,1340,1354,1367,1375,1377,1384,1397,1402,1418,1419,1420,
1427,1431,1432,1443,1467,1469,1473,1476,1502,1529,1567,1612,1617,1644,1654,
1807,1815,1819,1823,1829,1837,1840,1843,1876,1942,1956,2106],[1,2,3,5,8,9,13,
14,15,16,17,20,21,24,27,29,32,39,41,42,44,47,70,71,73,74,75,76,81,84,87,88,90,
93,101,103,105,106,110,112,115,120,125,126,144,147,148,150,151,152,153,158,
166,167,174,176,177,181,182,184,185,192,195,197,256,257,259,263,264,265,266,
269,276,280,285,286,288,296,301,302,306,310,312,314,315,322,325,327,328,334,
358,359,379,382,386,391,394,399,405,406,411,412,420,433,434,438,445,463,465,
467,494,495,501,526,529,543,544,550,563,570,572,579,584,588,593,600,606,698,
700,701,705,709,711,712,715,717,718,733,739,742,743,744,746,752,766,772,781,
787,790,800,804,821,826,845,855,875,885,902,931,946,956,964,966,976,977,986,
989,996,999,1029,1090,1095,1114,1128,1143,1146,1147,1159,1161,1162,1309,1321,
1325,1330,1335,1351,1361,1365,1382,1391,1401,1410,1419,1426,1433,1435,1466,
1472,1482,1524,1550,1556,1596,1597,1666,1669,1808,1818,1825,1888,1928,1939,
1941,1989,2107],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,32,40,71,73,75,76,78,
80,81,84,87,88,90,93,101,103,106,115,125,126,138,144,145,147,155,176,195,257,
259,263,264,265,266,269,270,276,280,291,294,296,302,307,312,314,315,330,334,
358,367,378,399,405,406,417,431,494,495,497,575,584,698,709,711,712,714,715,
717,718,721,722,755,776,788,821,874,875,890,930,957,964,971,986,989,1313,1319,
1321,1332,1339,1391,1399,1410,1413,1431,1432,1472,1814,1825,1837,2108],[1,2,3,
5,6,8,13,14,15,16,17,20,21,22,23,24,27,29,32,36,71,73,75,76,77,81,82,84,87,88,
90,93,95,96,101,103,106,109,111,114,115,118,125,126,135,141,144,147,149,155,
168,176,195,257,259,263,264,265,266,269,276,279,280,289,296,302,305,311,312,
314,315,319,320,334,339,346,354,357,358,366,378,381,399,405,406,423,427,437,
442,448,455,472,494,495,515,571,581,584,698,704,709,710,711,712,715,717,718,
725,727,763,775,782,788,789,802,818,821,875,879,880,891,934,964,968,986,987,
989,990,1031,1134,1314,1321,1326,1338,1341,1360,1374,1391,1397,1410,1446,1452,
1453,1455,1464,1472,1825,1827,1834,1926,1927,2109],[1,2,3,5,8,13,14,15,16,17,
20,21,24,27,29,31,32,35,40,45,71,73,75,76,78,79,80,81,84,87,88,90,93,97,98,99,
101,103,106,115,121,125,126,129,132,141,144,145,147,154,157,158,161,163,166,
171,176,177,179,188,201,257,258,259,261,262,263,264,265,266,268,269,270,276,
280,286,287,288,291,294,295,296,299,301,302,304,309,312,314,315,317,323,324,
330,334,339,347,357,358,366,367,368,375,379,380,399,405,406,417,420,428,431,
450,458,530,540,578,586,610,618,698,702,709,711,712,713,715,716,717,718,721,
722,735,738,744,746,750,755,758,759,765,769,771,775,776,782,784,791,802,804,
809,810,821,822,825,826,827,832,835,840,847,873,874,875,917,930,953,955,957,
974,977,993,996,1021,1313,1315,1320,1321,1333,1339,1341,1375,1384,1399,1406,
1411,1413,1415,1418,1419,1447,1469,1473,1502,1530,1552,1567,1654,1814,1823,
1826,1836,1909,2110],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,27,29,32,39,41,42,
44,47,71,73,75,76,81,84,87,88,90,93,101,103,106,112,115,118,120,125,126,141,
144,147,148,150,151,152,153,155,167,174,176,181,182,184,185,192,197,257,259,
263,264,265,266,269,276,280,289,296,302,306,310,312,314,315,327,328,334,339,
357,358,359,366,378,382,386,391,399,405,406,411,433,434,438,442,445,465,467,
472,501,526,529,543,544,550,563,570,572,579,698,709,710,711,712,715,717,718,
743,752,772,775,781,782,788,790,800,802,821,845,855,875,885,891,902,931,946,
956,966,976,1029,1031,1095,1162,1321,1326,1330,1335,1338,1341,1351,1361,1382,
1397,1401,1411,1415,1426,1435,1446,1818,1826,1834,1902,1930,2111],[1,2,3,5,8,
13,14,15,16,17,20,21,24,25,27,29,30,32,33,40,71,73,75,76,81,84,87,88,90,93,
101,103,106,108,115,118,123,125,126,143,144,145,146,147,155,156,176,257,259,
263,264,265,266,269,276,280,289,296,297,302,312,314,315,316,330,334,356,358,
361,367,374,378,399,400,405,406,414,424,426,431,442,456,472,698,709,710,711,
712,715,717,718,731,741,755,788,821,851,865,872,875,891,896,908,923,930,1031,
1321,1326,1338,1339,1342,1343,1357,1370,1380,1397,1439,1446,1812,1833,1834,
2112],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,27,29,32,39,40,41,42,44,47,71,73,
75,76,81,84,87,88,90,93,101,103,106,112,115,120,125,126,138,144,145,147,148,
150,151,152,153,155,167,174,176,181,182,184,185,192,197,257,259,263,264,265,
266,269,276,280,296,302,306,307,310,312,314,315,327,328,330,334,358,359,367,
378,382,386,391,399,405,406,411,431,433,434,438,445,465,467,497,501,526,529,
543,544,550,563,570,572,575,579,698,709,711,712,714,715,717,718,743,752,755,
772,781,788,790,800,821,845,855,875,885,890,902,930,931,946,956,966,971,976,
1029,1095,1162,1319,1321,1330,1332,1335,1339,1351,1357,1361,1380,1382,1401,
1426,1431,1432,1435,1818,1833,1837,1898,1899,2113],[1,2,3,5,8,13,14,15,16,17,
20,21,24,25,27,29,30,32,33,70,71,73,74,75,76,81,84,87,88,90,93,101,103,105,
106,108,110,115,123,125,126,143,144,146,147,156,158,162,166,169,176,177,256,
257,259,263,264,265,266,269,276,280,285,286,288,296,297,301,302,312,314,315,
316,322,325,334,356,358,361,374,379,394,399,400,402,405,406,412,414,420,422,
424,426,456,463,531,553,698,700,701,705,709,711,712,715,717,718,731,733,739,
741,742,744,746,766,787,804,821,826,851,865,872,875,896,908,920,923,937,977,
996,999,1008,1011,1014,1020,1028,1309,1321,1325,1342,1343,1365,1370,1372,1419,
1433,1439,1449,1450,1466,1564,1579,1650,1651,1808,1812,1841,1861,1890,2114],[
1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,32,38,43,71,73,75,76,
81,83,84,85,87,88,90,91,92,93,94,101,102,103,104,106,107,113,115,116,118,119,
122,125,126,127,128,131,134,136,137,138,140,141,144,147,164,165,170,172,176,
195,257,259,263,264,265,266,269,273,275,276,280,284,289,292,296,300,302,303,
307,308,312,313,314,315,329,332,333,334,335,337,339,341,345,350,352,357,358,
362,363,366,369,371,376,377,385,388,390,396,399,403,404,405,406,415,418,421,
429,457,469,491,494,495,500,518,520,546,584,698,699,707,709,710,711,712,714,
715,717,718,732,734,736,749,756,761,773,775,780,782,783,785,801,802,803,821,
846,875,892,893,897,901,944,954,964,979,984,986,989,1007,1321,1322,1328,1329,
1331,1337,1340,1341,1354,1377,1391,1410,1411,1415,1427,1443,1472,1815,1825,
1826,1869,1946,2115],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,34,35,40,
45,69,71,72,73,75,76,79,81,84,86,87,88,89,90,93,98,100,101,103,105,106,110,
115,121,125,126,129,132,139,141,144,145,147,154,157,158,161,163,166,171,176,
177,179,188,201,255,257,258,259,260,263,264,265,266,267,268,269,276,280,285,
287,288,295,296,298,299,301,302,304,309,312,314,315,317,318,322,325,330,331,
334,339,347,353,357,358,366,367,368,375,379,380,399,401,405,406,420,428,431,
441,450,458,487,540,555,577,586,604,607,610,618,698,703,705,706,708,709,711,
712,713,715,716,717,718,720,724,726,733,738,742,745,746,747,755,758,759,765,
766,769,775,782,784,791,798,799,802,804,809,817,821,825,832,840,847,868,871,
873,875,930,951,955,974,977,991,993,994,995,999,1026,1039,1311,1312,1320,1321,
1323,1324,1334,1339,1341,1357,1358,1371,1380,1396,1411,1415,1418,1422,1433,
1454,1530,1534,1552,1583,1654,1824,1826,1828,1833,1909,2116],[1,2,3,5,8,13,14,
15,16,17,20,21,24,27,29,32,40,71,73,75,76,78,80,81,84,87,88,90,93,101,103,106,
115,118,125,126,144,145,147,155,162,169,176,257,259,263,264,265,266,269,270,
276,280,289,291,294,296,302,312,314,315,330,334,358,367,378,399,402,405,406,
417,422,431,442,472,531,553,698,709,710,711,712,715,717,718,721,722,755,776,
788,821,874,875,891,920,930,957,1011,1014,1031,1313,1321,1326,1338,1339,1372,
1397,1399,1413,1446,1449,1450,1814,1834,1841,2117],[1,2,3,5,8,13,14,15,16,17,
20,21,24,25,27,29,30,32,33,71,73,75,76,81,84,87,88,90,93,101,103,106,108,115,
123,125,126,138,141,143,144,146,147,155,156,176,257,259,263,264,265,266,269,
276,280,296,297,302,307,312,314,315,316,334,339,356,357,358,361,366,374,378,
399,400,405,406,414,424,426,456,497,575,698,709,711,712,714,715,717,718,731,
741,775,782,788,802,821,851,865,872,875,890,896,908,923,971,1319,1321,1332,
1341,1342,1343,1370,1411,1415,1431,1432,1439,1812,1826,1837,2118],[1,2,3,5,6,
8,13,14,15,16,17,20,21,22,23,24,27,29,32,36,71,73,75,76,77,81,82,84,87,88,90,
93,95,96,101,103,106,109,111,114,115,125,126,135,138,141,144,147,149,155,162,
168,169,176,257,259,263,264,265,266,269,276,279,280,296,302,305,307,311,312,
314,315,319,320,334,339,346,354,357,358,366,378,381,399,402,405,406,422,423,
427,437,448,455,497,515,531,553,571,575,581,698,704,709,711,712,714,715,717,
718,725,727,763,775,782,788,789,802,818,821,875,879,880,890,920,934,968,971,
987,990,1011,1014,1134,1314,1319,1321,1332,1341,1360,1372,1374,1431,1432,1449,
1450,1452,1453,1455,1464,1827,1837,1841,1880,1893,2119],[1,2,3,4,5,6,7,8,9,13,
14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,36,38,39,40,41,42,43,44,45,
47,48,49,71,75,76,77,78,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,101,
102,104,106,107,108,109,111,112,113,114,116,119,120,122,123,125,127,128,131,
134,135,136,137,140,141,143,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,164,165,167,168,170,171,172,174,179,184,186,187,188,189,193,196,197,
199,200,202,203,204,209,211,215,216,217,219,257,264,267,269,270,273,275,279,
284,288,291,292,294,295,297,299,300,301,303,304,305,306,308,310,311,312,313,
315,316,317,327,328,329,330,331,332,333,334,335,337,339,344,346,348,350,353,
354,356,357,358,359,360,361,362,365,366,367,369,370,371,374,376,378,379,380,
381,382,385,386,391,393,395,397,398,399,400,404,408,411,415,417,419,421,423,
425,426,427,429,430,431,432,433,434,437,440,446,447,449,452,457,462,464,469,
470,476,477,481,485,486,489,491,492,493,499,500,505,508,509,510,511,512,515,
518,520,521,522,528,529,539,541,542,543,544,546,547,551,558,559,561,562,567,
571,579,581,589,590,592,596,597,608,609,612,613,614,616,617,699,707,708,712,
716,730,731,736,741,748,752,753,755,756,757,763,772,774,775,776,777,788,795,
796,798,804,807,811,820,829,830,831,836,842,843,849,852,854,856,858,859,862,
863,864,867,872,874,879,887,892,893,895,897,902,904,905,906,908,915,918,919,
921,929,931,932,934,938,940,941,942,943,946,948,950,954,955,957,958,959,960,
961,962,965,969,975,978,980,981,982,984,985,987,990,995,997,998,1001,1006,
1007,1012,1013,1017,1023,1025,1029,1035,1039,1049,1054,1055,1062,1067,1075,
1082,1085,1088,1093,1095,1101,1105,1107,1108,1111,1117,1118,1123,1134,1135,
1155,1156,1171,1176,1178,1182,1183,1184,1323,1336,1337,1352,1361,1362,1366,
1368,1378,1379,1381,1388,1390,1392,1393,1396,1402,1405,1407,1408,1412,1413,
1414,1417,1439,1441,1442,1447,1448,1455,1459,1460,1463,1465,1468,1498,1521,
1531,1532,1541,1557,1560,1561,1566,1577,1582,1605,1620,1622,1624,1632,1634,
1635,1636,1640,1642,1674,1680,1683,1690,1822,1853,1866,1878,1879,1881,1882,
1885,1905,1912,1936,1938,1943,1951,1961,2120],[1,2,3,4,6,8,9,13,16,17,18,19,
20,22,23,24,29,32,39,47,49,73,76,81,83,84,85,87,91,93,96,105,106,110,112,113,
114,118,120,135,141,151,153,155,158,166,168,174,177,181,192,195,196,200,203,
204,257,259,263,264,266,273,275,285,286,288,289,296,301,303,319,320,328,344,
366,370,377,378,379,396,397,399,408,411,420,427,437,452,464,480,492,515,521,
522,526,535,542,543,544,550,552,558,559,562,567,571,572,580,581,584,588,592,
593,699,704,710,711,715,743,749,781,782,785,787,788,804,829,842,844,867,879,
880,886,968,976,982,986,987,996,999,1016,1017,1019,1023,1029,1035,1042,1044,
1064,1067,1068,1090,1123,1147,1171,1325,1329,1338,1360,1374,1402,1411,1415,
1435,1471,1472,1522,1591,1597,1600,1628,1642,1664,1666,1821,1921,1924,1926,
1930,1941,1946,2121],[1,2,3,5,6,7,8,9,13,14,15,20,21,22,23,24,25,26,27,28,29,
30,32,33,36,37,39,40,41,42,44,45,46,47,71,75,76,77,78,80,81,82,86,87,88,89,90,
92,93,94,95,96,101,104,106,108,109,111,112,114,117,118,120,123,124,125,127,
128,130,131,133,135,138,141,142,143,145,146,147,148,149,150,151,152,153,154,
156,157,158,159,160,165,167,168,171,173,174,175,178,179,183,184,188,191,197,
207,209,212,216,217,219,257,264,267,269,270,279,288,289,290,291,293,294,295,
297,299,300,301,304,305,306,307,310,311,312,315,316,317,327,328,329,330,331,
333,334,336,339,340,341,342,343,346,348,349,353,354,356,357,358,359,360,361,
366,367,371,374,379,380,381,382,386,387,391,393,399,400,403,410,411,413,416,
417,423,426,427,430,431,433,434,437,444,459,460,461,468,474,475,478,480,482,
484,504,506,513,515,516,517,519,527,529,533,535,536,543,544,545,549,552,556,
557,560,564,565,566,568,569,571,574,576,579,580,581,583,585,589,590,609,612,
613,616,707,708,710,712,714,716,731,734,737,741,751,752,755,762,763,767,772,
773,775,776,786,793,794,797,798,804,806,812,823,824,828,834,836,837,839,841,
844,848,849,852,853,854,856,857,858,859,869,872,874,879,886,898,902,903,907,
908,909,911,912,913,916,918,926,927,928,931,933,934,945,946,947,949,952,955,
957,958,973,987,990,992,995,1000,1002,1004,1005,1016,1018,1019,1024,1027,1029,
1030,1033,1038,1039,1062,1077,1079,1087,1095,1105,1130,1132,1134,1137,1148,
1155,1156,1158,1170,1323,1327,1331,1350,1355,1361,1362,1367,1381,1383,1394,
1396,1400,1405,1413,1416,1421,1423,1425,1428,1430,1439,1440,1441,1445,1447,
1455,1456,1457,1458,1459,1460,1461,1462,1470,1477,1485,1496,1503,1506,1513,
1522,1535,1543,1549,1588,1598,1601,1604,1626,1631,1639,1646,1653,1659,1665,
1830,1844,1847,1851,1853,1858,1868,1870,1874,1877,1891,1912,1914,1947,1957,
2122],[1,2,3,4,6,9,13,16,17,18,19,20,22,23,39,47,49,70,73,74,76,81,83,84,85,
91,96,112,113,114,118,120,135,141,151,153,168,174,181,192,195,196,200,203,204,
256,257,259,263,273,275,289,296,303,319,320,328,344,366,370,377,396,397,408,
411,427,452,480,492,521,522,526,535,543,544,550,552,558,559,562,567,571,572,
580,581,584,592,600,606,699,701,704,710,715,743,749,781,782,785,829,844,879,
880,886,976,982,986,1016,1017,1019,1023,1029,1035,1042,1044,1064,1067,1068,
1123,1143,1146,1171,1309,1326,1329,1374,1415,1435,1472,1522,1591,1596,1600,
1628,1642,1664,1669,1806,1809,1902,1921,1927,1939,1946,2123],[1,2,3,4,5,6,7,8,
9,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,32,36,37,38,39,40,41,42,43,
44,46,47,48,49,69,71,72,73,75,76,77,78,80,82,83,85,86,87,88,89,90,91,92,93,94,
95,96,101,102,103,104,107,109,111,113,114,116,117,118,119,121,122,124,125,126,
127,128,130,131,132,133,134,135,136,137,138,140,141,142,143,145,148,149,150,
151,152,153,155,159,160,164,165,166,167,168,170,172,173,174,175,177,178,181,
182,184,185,189,192,193,196,197,199,200,202,203,204,207,211,212,215,255,263,
266,267,269,270,271,277,278,279,281,282,283,284,288,289,290,291,292,293,294,
298,299,300,302,303,305,307,308,309,311,312,313,314,317,318,327,329,330,335,
336,337,338,339,340,341,342,343,346,348,349,351,354,356,357,359,360,361,362,
365,366,367,372,374,378,381,382,384,385,386,387,389,392,393,395,401,403,404,
410,411,413,415,416,417,420,421,423,427,428,429,430,431,433,434,438,440,442,
443,447,449,452,453,454,459,465,467,472,473,477,478,480,481,484,485,489,490,
492,493,496,497,499,501,502,504,505,506,507,508,509,510,511,513,514,516,517,
518,520,525,527,528,532,535,537,541,546,547,549,554,557,558,559,561,562,565,
567,569,570,572,574,575,576,582,583,585,592,596,597,608,614,617,703,706,716,
717,719,723,740,741,752,755,756,760,761,762,763,764,766,768,769,770,773,774,
775,776,779,780,781,783,785,792,799,800,805,830,831,834,837,841,842,844,845,
853,855,862,864,871,873,878,880,882,883,887,889,894,900,903,904,906,911,912,
916,919,921,922,923,924,925,926,927,928,929,933,935,936,939,940,941,942,945,
949,950,951,958,959,960,961,962,963,965,967,968,971,973,975,978,981,982,992,
998,1002,1003,1005,1007,1015,1017,1018,1019,1024,1031,1032,1033,1043,1048,
1049,1050,1055,1060,1065,1075,1077,1079,1080,1092,1104,1107,1115,1116,1118,
1122,1130,1137,1149,1152,1155,1156,1157,1160,1170,1174,1177,1179,1181,1324,
1330,1342,1352,1355,1362,1366,1368,1371,1373,1387,1390,1392,1394,1395,1399,
1403,1407,1412,1417,1423,1425,1427,1430,1440,1444,1447,1456,1460,1462,1464,
1468,1470,1480,1486,1507,1515,1527,1533,1536,1547,1559,1573,1580,1607,1609,
1613,1619,1621,1628,1637,1644,1647,1655,1656,1657,1660,1661,1668,1686,1691,
1835,1875,1877,1881,1883,1884,1894,1906,1917,1919,1923,1936,1957,1959,1960,
2124],[1,2,3,5,6,7,9,13,20,21,22,23,24,26,27,28,31,36,39,40,47,48,75,76,79,81,
92,93,94,96,98,99,104,109,111,112,114,115,118,120,127,128,131,135,141,145,149,
151,153,155,162,163,165,168,169,174,182,185,189,193,199,202,218,257,258,261,
265,266,287,289,299,300,328,329,333,352,366,371,378,390,398,405,411,419,423,
425,427,431,432,439,445,447,448,455,477,480,483,493,499,511,535,539,543,544,
547,548,551,552,553,563,570,571,573,580,581,596,598,601,603,619,707,710,718,
750,759,783,788,789,790,800,802,803,830,844,876,879,884,886,930,940,966,968,
985,1006,1011,1016,1019,1029,1032,1040,1076,1084,1086,1100,1117,1120,1135,
1156,1178,1182,1315,1328,1332,1357,1372,1397,1420,1426,1453,1504,1522,1546,
1552,1589,1590,1611,1635,1647,1663,1840,1862,1871,1880,1899,1920,1953,2125],[
1,2,3,5,7,8,13,14,15,16,17,20,21,24,26,27,28,29,32,34,35,37,45,46,71,73,75,76,
81,84,86,87,88,89,90,92,93,94,97,99,100,101,103,104,105,106,110,115,117,118,
121,124,125,126,127,128,129,130,131,132,133,138,139,142,144,147,154,155,157,
158,159,160,161,163,165,166,171,173,175,176,177,178,179,188,201,257,259,260,
261,262,263,264,265,266,267,268,269,285,286,287,288,289,290,293,295,296,299,
300,301,302,304,307,309,312,314,315,317,322,325,329,331,333,334,336,340,341,
342,343,349,352,353,358,363,368,371,378,379,380,387,390,399,403,405,406,410,
413,416,418,420,428,435,436,439,441,442,444,446,450,458,461,462,468,472,474,
475,482,487,497,504,506,513,519,523,530,533,536,538,545,548,555,575,577,578,
604,607,610,618,705,707,708,710,711,712,714,715,716,718,728,732,733,734,735,
742,744,745,746,747,750,762,765,766,769,771,773,780,783,784,786,787,788,791,
798,799,803,804,809,810,821,825,826,827,828,832,835,839,840,847,857,868,873,
875,884,889,890,891,942,947,952,953,955,971,974,977,980,991,992,993,995,996,
999,1000,1005,1010,1021,1022,1026,1030,1031,1032,1033,1037,1038,1046,1061,
1070,1081,1106,1110,1148,1168,1317,1319,1322,1323,1325,1326,1327,1328,1331,
1333,1367,1375,1383,1397,1408,1418,1419,1420,1421,1431,1432,1433,1434,1437,
1438,1446,1454,1462,1467,1471,1474,1476,1489,1490,1493,1497,1501,1502,1512,
1534,1567,1573,1583,1588,1592,1594,1641,1656,1819,1830,1839,1843,1857,1886,
1892,1907,1913,1916,1929,1931,1934,1956,2126],[1,2,3,4,5,7,8,13,14,15,16,17,
18,19,20,21,24,26,27,28,29,32,34,35,38,43,45,71,73,75,76,81,83,84,85,86,87,88,
89,90,91,92,93,94,97,99,100,101,102,103,104,105,106,107,110,113,115,116,118,
119,121,122,125,126,127,128,129,131,132,134,136,137,138,139,140,144,147,154,
155,157,158,161,163,164,165,166,170,171,172,176,177,179,188,201,257,259,260,
261,262,263,264,265,266,267,268,269,273,275,284,285,286,287,288,289,292,295,
296,299,300,301,302,303,304,307,308,309,312,313,314,315,317,322,325,329,331,
332,333,334,335,337,345,350,353,358,362,365,368,369,371,376,377,378,379,380,
385,388,395,396,399,404,405,406,415,420,421,428,429,435,436,439,441,442,444,
446,450,457,458,462,464,468,469,472,487,491,497,500,518,520,523,530,533,536,
538,542,546,548,555,575,577,578,604,607,610,618,699,705,707,708,710,711,712,
714,715,716,718,728,733,735,736,742,744,745,746,747,748,749,750,756,761,765,
766,769,771,774,784,785,787,788,791,798,799,801,804,809,810,821,825,826,827,
832,835,840,842,847,867,868,873,875,884,889,890,891,892,893,895,897,932,938,
942,953,954,955,971,974,977,980,984,991,992,993,995,996,999,1000,1007,1010,
1021,1022,1025,1026,1030,1031,1032,1033,1047,1074,1089,1096,1133,1163,1173,
1175,1317,1323,1325,1329,1332,1333,1336,1337,1338,1340,1367,1375,1383,1397,
1402,1408,1417,1418,1419,1420,1431,1432,1433,1434,1437,1438,1442,1446,1454,
1467,1471,1474,1476,1489,1497,1502,1529,1534,1545,1553,1567,1583,1594,1612,
1617,1632,1644,1648,1655,1811,1821,1822,1829,1842,1857,1876,1887,1892,1907,
1913,1934,1942,1945,1954,2127],[1,2,3,4,5,7,8,9,13,14,15,18,19,20,21,24,25,26,
27,28,29,30,31,32,33,35,37,38,39,41,42,43,44,46,47,71,75,76,78,79,80,83,84,85,
87,88,90,91,92,93,94,98,102,104,107,108,112,113,115,116,117,118,119,120,121,
122,123,124,127,128,129,130,131,132,133,134,136,137,138,140,141,142,143,146,
147,148,150,151,152,153,155,156,159,160,161,163,164,165,167,170,172,173,174,
175,178,180,184,190,194,197,198,201,205,208,210,213,258,259,265,268,269,270,
272,274,276,280,284,287,288,289,290,291,292,293,294,297,299,300,303,306,307,
308,309,310,313,315,316,317,327,328,329,335,336,339,340,341,343,345,347,352,
355,356,357,359,361,362,363,364,365,366,368,373,374,375,377,378,379,382,383,
386,387,388,390,391,395,396,400,403,404,405,407,409,410,411,415,417,418,426,
433,434,439,443,445,453,454,457,469,473,474,475,479,481,484,485,488,490,491,
492,493,496,498,500,505,506,507,516,517,519,520,521,522,523,524,526,532,534,
538,539,541,545,547,548,550,551,558,563,574,587,591,595,611,615,698,713,716,
721,722,729,730,731,732,741,746,749,751,752,753,756,759,762,767,772,773,774,
775,776,777,782,784,793,795,801,802,803,809,812,822,823,825,829,833,834,838,
842,846,850,853,860,861,862,864,865,866,869,870,877,884,885,888,890,891,896,
898,901,904,905,906,907,909,910,911,912,914,915,916,917,927,929,940,941,942,
943,944,945,952,956,962,965,966,970,972,976,979,981,984,985,988,992,998,1009,
1010,1013,1016,1017,1018,1019,1024,1033,1088,1093,1099,1118,1130,1139,1140,
1155,1162,1181,1313,1320,1341,1352,1355,1362,1363,1370,1378,1386,1389,1390,
1393,1394,1398,1400,1401,1404,1406,1407,1412,1417,1423,1441,1443,1445,1447,
1448,1457,1458,1462,1465,1470,1481,1490,1494,1509,1512,1516,1523,1526,1529,
1537,1545,1554,1562,1563,1570,1571,1574,1584,1585,1600,1618,1649,1658,1663,
1836,1849,1852,1859,1864,1865,1867,1870,1881,1932,1937,1944,1955,1957,1961,
2128],[1,2,3,6,7,9,13,16,17,20,22,23,26,28,39,47,48,70,73,74,76,81,84,92,94,
96,104,112,114,120,127,128,131,135,138,141,151,153,155,165,168,174,181,189,
192,193,195,199,202,256,257,259,263,296,300,307,319,320,328,329,333,363,366,
371,378,398,411,418,419,425,427,432,447,477,493,499,511,523,526,538,539,543,
544,547,550,551,556,557,564,571,572,576,581,584,596,600,606,701,704,707,714,
715,732,743,780,781,782,788,824,830,837,879,880,889,909,940,976,985,986,1006,
1010,1024,1029,1109,1112,1117,1127,1135,1143,1146,1154,1178,1182,1309,1322,
1338,1374,1415,1431,1435,1438,1472,1481,1596,1623,1635,1637,1638,1646,1669,
1809,1838,1869,1922,1926,1930,1939,2129],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,
27,29,32,39,41,42,44,47,69,70,71,72,73,74,75,76,86,87,88,89,90,93,97,99,101,
103,105,110,121,125,126,132,143,144,148,150,151,152,153,162,163,166,167,169,
171,174,176,177,181,182,184,185,188,192,195,197,201,255,256,261,262,263,266,
267,269,285,286,287,288,296,298,299,302,304,309,312,314,317,318,323,324,327,
356,359,361,368,374,379,380,382,386,394,399,401,402,405,406,411,412,420,422,
428,433,434,435,436,438,463,465,467,494,495,501,525,530,531,537,553,554,570,
572,578,582,584,588,593,594,598,599,600,601,602,603,605,606,619,700,701,702,
703,706,716,717,728,735,738,739,741,742,744,750,752,766,769,771,781,787,799,
800,810,821,825,826,827,835,840,845,855,873,883,900,920,922,923,924,939,953,
963,964,986,989,995,996,1011,1014,1021,1022,1026,1076,1090,1098,1100,1103,
1114,1126,1128,1131,1142,1143,1146,1147,1155,1159,1161,1164,1185,1186,1310,
1324,1330,1342,1362,1365,1369,1373,1384,1410,1422,1437,1449,1482,1483,1497,
1510,1518,1519,1524,1536,1539,1550,1556,1567,1589,1595,1596,1597,1606,1607,
1645,1650,1651,1662,1810,1835,1854,1889,1890,1928,1949,1966,1971,1987,1994,
2130],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,
35,36,37,38,40,43,45,46,71,73,75,76,77,78,79,80,82,83,85,86,87,88,89,90,91,92,
93,94,95,96,98,102,103,104,105,107,109,110,111,112,113,114,116,117,118,119,
120,121,122,124,126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,
142,143,144,145,147,149,154,155,157,158,159,160,161,164,165,168,170,172,173,
175,176,178,179,180,188,201,210,214,218,258,263,266,267,268,269,270,272,274,
279,284,285,289,290,291,292,293,294,295,300,301,302,303,305,306,307,308,309,
310,311,313,314,315,328,329,330,331,335,336,339,340,341,343,344,346,347,348,
353,354,355,356,357,360,361,362,364,365,366,367,368,370,373,374,375,378,380,
381,383,387,391,393,395,397,398,403,404,406,407,408,409,410,415,417,419,423,
425,427,430,431,432,441,443,444,446,451,453,454,457,459,462,464,468,469,471,
473,474,475,478,481,483,485,488,490,491,496,498,500,505,506,507,519,520,521,
522,527,532,533,536,539,540,541,542,545,551,552,556,564,573,577,580,585,586,
708,713,717,729,733,741,743,747,751,755,756,757,758,761,762,763,767,772,773,
774,775,776,780,783,785,790,791,793,796,807,811,812,820,822,824,829,831,833,
836,839,841,848,850,852,854,856,857,858,859,861,864,866,867,876,877,880,881,
886,888,889,890,891,895,899,904,905,906,909,911,912,913,914,915,916,917,923,
932,933,938,943,949,950,952,958,968,972,975,978,980,983,984,985,988,998,1000,
1001,1002,1004,1006,1013,1016,1018,1023,1025,1026,1027,1030,1032,1039,1063,
1077,1087,1088,1099,1118,1148,1181,1334,1335,1342,1352,1363,1381,1388,1389,
1392,1393,1395,1396,1399,1404,1406,1407,1414,1421,1423,1424,1425,1427,1428,
1430,1442,1445,1448,1458,1459,1461,1464,1468,1470,1493,1500,1501,1509,1511,
1549,1553,1563,1570,1571,1591,1598,1599,1608,1611,1612,1620,1622,1623,1624,
1627,1631,1634,1665,1820,1848,1849,1851,1872,1878,1879,1891,1894,1895,1896,
1901,1903,1937,1960,2131],[1,2,3,4,5,6,7,8,9,13,14,15,18,19,20,21,22,23,25,26,
27,28,29,30,32,33,36,37,38,39,41,42,43,44,45,46,47,48,49,69,71,72,75,76,77,78,
80,82,83,84,85,86,87,88,89,90,91,92,94,95,96,101,102,104,107,108,109,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,127,128,130,131,132,133,
134,135,136,137,138,140,142,143,146,148,149,150,151,152,153,154,155,156,157,
158,159,160,164,165,167,168,170,172,173,174,175,178,179,183,184,189,191,193,
196,197,199,200,202,203,204,209,211,215,216,217,219,255,259,265,267,269,270,
271,276,277,278,279,280,281,282,283,284,289,290,291,292,293,294,295,297,298,
300,301,303,305,306,307,308,309,310,311,312,313,316,318,319,320,322,325,327,
328,329,331,335,336,337,338,340,341,342,343,344,345,346,348,349,351,352,353,
354,356,359,360,361,362,363,365,370,372,374,377,378,381,382,384,385,386,387,
388,389,390,391,392,393,395,396,397,398,400,401,403,404,408,410,411,413,415,
416,417,418,419,421,423,425,426,427,429,430,432,433,434,439,440,442,443,444,
445,446,447,448,449,450,452,453,454,455,458,459,460,462,464,468,472,473,477,
478,480,481,484,485,489,490,496,497,499,502,504,505,506,507,508,509,510,511,
513,514,516,517,518,520,523,525,526,527,528,532,533,535,536,537,538,541,542,
546,548,550,552,554,556,557,559,560,561,562,563,564,566,567,568,574,575,576,
580,582,585,589,590,592,596,597,608,609,612,613,614,616,617,698,704,705,706,
708,719,720,721,722,723,724,725,727,730,731,732,737,740,741,749,751,752,753,
754,756,757,760,762,763,764,765,767,768,770,772,773,774,776,777,778,779,789,
792,793,794,795,796,797,801,803,805,806,807,808,811,812,813,817,818,820,823,
824,830,834,836,837,839,841,844,846,849,852,853,854,856,857,858,859,860,862,
863,864,865,867,869,870,878,882,883,884,885,886,887,894,895,896,900,901,904,
906,915,916,918,919,921,922,924,925,926,927,928,929,932,933,935,936,938,939,
943,944,945,949,956,958,959,960,961,963,966,967,971,975,976,978,979,980,982,
998,1000,1001,1002,1003,1004,1005,1006,1007,1010,1012,1015,1018,1023,1025,
1027,1030,1031,1037,1040,1042,1043,1044,1046,1047,1048,1050,1055,1058,1060,
1061,1062,1064,1065,1068,1070,1074,1075,1077,1080,1081,1084,1086,1087,1089,
1092,1096,1104,1105,1106,1107,1109,1110,1112,1115,1116,1118,1120,1122,1124,
1127,1129,1130,1132,1133,1137,1139,1148,1149,1152,1154,1157,1158,1160,1162,
1163,1165,1168,1173,1174,1175,1177,1179,1181,1312,1313,1314,1345,1346,1347,
1349,1350,1353,1356,1359,1364,1368,1370,1373,1378,1381,1385,1387,1388,1390,
1394,1398,1401,1403,1405,1407,1409,1421,1423,1425,1436,1442,1443,1444,1445,
1448,1451,1456,1457,1459,1461,1463,1468,1475,1479,1480,1486,1492,1505,1506,
1507,1515,1520,1521,1523,1533,1535,1537,1538,1544,1546,1547,1549,1560,1562,
1572,1574,1575,1576,1580,1581,1582,1584,1586,1587,1592,1598,1602,1603,1604,
1605,1610,1613,1614,1615,1616,1617,1618,1619,1620,1622,1624,1629,1630,1631,
1634,1638,1641,1648,1649,1652,1657,1658,1659,1660,1664,1665,1668,1673,1675,
1679,1684,1686,1691,1804,1850,1852,1855,1868,1878,1883,1891,1900,1905,1908,
1923,1948,1955,1958,1965,1975,1982,1985,1986,1988,1990,1992,2132],[1,2,3,4,5,
6,7,8,9,13,14,15,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,46,47,48,49,69,71,72,75,76,77,78,79,80,81,82,83,85,86,87,88,
89,90,91,92,94,95,96,98,100,101,102,104,106,107,108,109,111,112,113,114,116,
117,119,120,121,122,123,124,125,127,128,129,130,131,132,133,134,135,136,137,
139,140,141,142,143,145,146,147,148,149,150,151,152,153,156,159,160,161,164,
165,167,168,170,172,173,174,175,178,180,183,184,186,187,189,190,191,193,194,
196,197,198,199,200,202,203,204,205,206,207,208,210,211,212,213,214,215,218,
255,257,258,260,264,267,268,269,270,271,272,273,274,275,277,278,279,281,282,
283,284,290,291,292,293,294,297,298,300,303,305,306,308,309,310,311,312,313,
315,316,318,321,326,327,328,329,330,332,333,334,335,336,337,338,339,340,342,
343,344,346,347,348,349,350,351,354,355,356,357,358,359,360,361,362,364,366,
367,369,370,371,372,373,374,375,376,381,382,383,384,385,386,387,389,391,392,
393,397,398,400,401,404,407,408,409,410,411,413,415,416,417,419,421,423,425,
426,427,429,430,431,432,433,434,437,440,443,447,449,451,452,453,454,457,459,
460,461,466,469,470,471,473,474,475,476,477,478,479,481,482,483,484,485,486,
487,488,489,490,491,492,493,496,498,499,500,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,524,525,527,528,529,532,
534,537,539,541,543,544,545,546,547,549,551,554,555,558,559,560,561,562,565,
566,567,568,569,571,573,574,579,581,582,583,585,587,591,592,595,596,597,608,
611,614,615,617,620,621,622,623,699,706,707,712,713,719,723,726,729,730,731,
736,737,740,741,745,751,752,753,754,755,756,757,760,762,763,764,767,768,770,
772,775,776,777,778,779,786,792,793,794,795,796,797,805,806,807,808,811,812,
813,815,820,822,828,829,830,831,833,834,838,841,843,848,850,853,861,864,866,
871,872,874,876,877,878,879,881,882,883,887,888,892,893,894,897,898,899,900,
902,903,904,905,906,907,908,910,911,912,913,914,917,919,921,922,924,925,927,
931,933,934,935,936,939,940,941,945,946,947,948,949,950,951,952,954,957,958,
959,960,961,962,963,965,969,970,972,973,981,982,983,984,985,987,988,990,994,
997,998,1001,1002,1005,1006,1007,1009,1013,1015,1017,1023,1029,1035,1036,1038,
1043,1050,1051,1054,1055,1056,1060,1063,1065,1066,1067,1071,1072,1075,1077,
1078,1079,1080,1082,1083,1085,1088,1091,1092,1094,1095,1097,1099,1101,1102,
1104,1107,1108,1111,1115,1116,1117,1118,1119,1121,1122,1123,1125,1130,1132,
1134,1135,1136,1138,1140,1141,1144,1145,1149,1152,1153,1157,1158,1160,1167,
1169,1170,1171,1174,1176,1177,1178,1179,1180,1181,1182,1183,1184,1311,1327,
1337,1344,1348,1350,1353,1356,1359,1361,1363,1364,1368,1371,1373,1378,1379,
1385,1386,1387,1388,1389,1392,1393,1394,1400,1406,1407,1409,1412,1413,1424,
1425,1428,1436,1439,1440,1444,1445,1451,1455,1470,1475,1477,1478,1480,1484,
1486,1487,1488,1491,1494,1495,1496,1498,1499,1500,1503,1507,1508,1509,1511,
1513,1514,1515,1516,1517,1525,1526,1527,1531,1532,1533,1540,1541,1542,1543,
1547,1548,1551,1554,1557,1559,1561,1563,1565,1566,1568,1569,1570,1571,1577,
1599,1609,1613,1621,1625,1626,1627,1635,1636,1639,1640,1642,1653,1657,1672,
1674,1676,1677,1680,1681,1686,1691,1805,1844,1849,1850,1856,1858,1859,1866,
1883,1903,1904,1917,1925,1935,1938,1963,1967,1968,1970,1972,1974,1991,1993,
2133],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
32,33,36,37,38,40,43,46,69,71,72,73,75,76,77,78,80,82,83,85,86,87,88,89,90,91,
92,93,94,95,96,101,102,103,104,107,108,109,111,112,113,114,116,117,118,119,
120,121,122,123,124,125,126,127,128,130,131,132,133,134,135,136,137,138,140,
141,142,145,146,149,155,156,159,160,164,165,166,168,170,172,173,175,177,178,
183,186,187,191,255,263,266,267,269,270,271,277,278,279,281,282,283,284,288,
289,290,291,292,293,294,297,298,299,300,302,303,305,306,307,308,309,310,311,
312,313,314,316,317,318,328,329,330,335,336,337,338,339,340,341,342,343,344,
346,348,349,351,354,357,360,362,365,366,367,370,372,378,381,384,385,387,389,
391,392,393,395,397,398,400,401,403,404,408,410,413,414,415,416,417,419,420,
421,423,424,425,426,427,428,429,430,431,432,442,443,453,454,456,460,470,472,
473,476,486,490,496,497,502,504,506,507,512,513,514,518,520,521,522,532,539,
546,551,552,556,560,564,566,568,575,580,703,706,716,717,719,723,730,731,737,
740,743,751,753,754,755,756,757,760,761,762,763,764,766,767,768,769,770,772,
773,774,775,776,777,778,779,780,783,785,790,792,793,794,795,796,797,799,805,
806,807,808,811,812,813,820,823,824,829,842,843,848,851,863,869,871,873,878,
880,882,886,889,894,898,905,907,909,913,915,925,935,936,942,943,948,951,958,
967,968,969,971,985,992,997,1001,1003,1004,1005,1006,1007,1012,1013,1015,1016,
1023,1027,1031,1032,1033,1048,1054,1060,1087,1088,1093,1132,1156,1158,1181,
1324,1335,1343,1350,1353,1356,1359,1364,1371,1378,1379,1385,1387,1388,1393,
1395,1399,1400,1403,1409,1414,1416,1417,1427,1428,1436,1441,1444,1445,1447,
1448,1451,1457,1458,1460,1461,1462,1463,1464,1465,1475,1520,1542,1551,1565,
1569,1573,1576,1586,1591,1603,1608,1611,1623,1644,1655,1656,1813,1850,1860,
1870,1884,1885,1895,1896,1910,1911,1914,1925,1958,1959,1961,2134],[1,2,3,6,7,
8,9,13,16,17,20,22,23,24,26,28,29,32,39,47,48,73,76,81,84,87,92,93,94,96,104,
105,106,110,112,114,118,120,127,128,131,135,138,141,151,153,158,165,166,168,
174,177,181,189,192,193,195,199,202,257,259,263,264,266,285,286,288,289,296,
300,301,307,319,320,328,329,333,363,366,371,379,398,399,411,418,419,420,425,
427,432,437,444,447,477,493,499,511,515,526,533,539,543,544,547,550,551,556,
557,564,571,572,576,581,584,588,593,596,704,707,710,711,714,715,732,743,780,
781,782,787,804,824,830,837,879,880,909,940,968,976,985,986,987,996,999,1000,
1006,1024,1029,1033,1090,1109,1112,1117,1127,1135,1147,1154,1178,1182,1322,
1325,1326,1360,1374,1383,1411,1415,1435,1472,1476,1481,1597,1623,1635,1637,
1638,1646,1666,1839,1869,1902,1922,1924,1927,1941,2135],[1,2,3,5,6,8,9,13,14,
15,20,21,22,23,25,27,29,30,31,32,33,34,35,36,39,40,41,42,44,47,69,71,72,75,76,
77,78,79,80,81,82,86,87,88,89,90,95,96,98,100,101,106,108,109,111,112,114,118,
120,121,123,125,129,132,135,138,139,141,143,145,146,147,148,149,150,151,152,
153,155,156,161,167,168,174,184,190,194,197,198,205,208,213,214,218,255,257,
258,260,264,267,268,269,270,271,277,278,279,282,289,291,294,297,298,305,306,
307,309,310,311,312,315,316,318,327,328,330,334,339,341,346,347,348,354,356,
357,358,359,360,361,365,366,367,374,375,378,381,382,386,391,393,395,400,401,
403,411,417,423,426,427,430,431,433,434,437,442,451,471,472,479,480,483,487,
497,515,524,525,529,534,535,537,543,544,552,554,555,556,557,564,571,573,575,
576,579,580,581,582,587,591,595,611,615,706,710,712,713,714,723,726,731,734,
741,745,748,752,754,755,760,763,770,772,773,774,775,776,778,788,792,805,808,
813,822,823,824,837,838,844,862,863,869,871,872,874,876,879,881,883,886,888,
890,891,899,900,902,908,909,910,914,915,916,917,922,924,925,926,928,929,931,
934,939,943,946,951,957,958,963,967,970,971,975,978,983,987,990,994,1003,1004,
1009,1012,1015,1016,1018,1019,1024,1027,1029,1031,1048,1049,1063,1087,1093,
1095,1134,1137,1140,1311,1331,1336,1352,1355,1361,1366,1371,1373,1386,1389,
1390,1403,1404,1406,1409,1413,1414,1416,1423,1424,1430,1432,1439,1444,1446,
1448,1455,1456,1457,1458,1461,1463,1465,1468,1478,1484,1485,1491,1495,1514,
1517,1520,1522,1525,1540,1576,1580,1586,1601,1603,1619,1633,1646,1660,1668,
1816,1856,1860,1874,1901,1904,1919,1923,1932,1937,1940,1943,1947,1951,1958,
2136],[1,2,3,4,5,6,9,13,18,19,20,21,22,23,24,27,31,36,39,40,47,49,75,76,79,81,
83,85,91,93,96,98,99,109,111,112,113,114,115,120,135,138,141,145,149,151,153,
162,163,168,169,174,182,185,196,200,203,204,218,257,258,261,265,266,273,275,
287,299,303,307,328,344,345,366,370,388,397,405,408,411,423,427,431,445,448,
452,455,483,492,521,522,543,544,553,556,557,558,559,562,563,564,567,570,571,
573,576,581,592,598,601,603,619,699,714,718,750,759,761,789,790,800,801,802,
824,829,837,876,879,909,930,966,968,982,1011,1017,1023,1024,1029,1035,1058,
1067,1076,1100,1123,1124,1129,1156,1165,1171,1315,1319,1340,1357,1372,1426,
1453,1504,1544,1552,1585,1589,1590,1608,1642,1646,1661,1807,1862,1893,1897,
1898,1918,1953,2137],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,25,27,29,30,31,32,
33,34,35,39,41,42,44,45,47,70,71,73,74,75,76,79,86,87,88,89,90,93,97,98,99,
100,101,103,105,106,108,110,115,121,123,125,126,129,132,139,144,146,147,148,
150,151,152,153,154,156,157,158,161,162,163,166,167,169,171,174,176,177,179,
181,182,184,185,188,190,192,194,195,197,198,201,205,208,209,213,216,217,219,
256,258,260,261,262,263,264,265,266,267,268,269,285,286,287,288,295,296,297,
299,301,302,304,309,312,314,315,316,317,323,324,327,331,347,353,359,368,375,
379,380,382,386,394,399,400,402,405,406,411,412,414,420,422,424,426,428,433,
434,435,436,438,441,450,456,458,463,465,467,479,487,494,495,501,524,530,531,
534,540,553,555,570,572,577,578,584,586,587,588,589,590,591,593,594,595,598,
599,600,601,602,603,604,605,606,607,609,610,611,612,613,615,616,618,619,700,
701,702,708,709,713,717,728,731,733,735,738,739,742,744,745,747,750,752,758,
759,765,766,771,781,784,787,791,798,799,800,809,810,814,816,819,821,825,826,
827,832,835,838,840,845,847,849,851,855,868,873,875,910,918,920,937,953,955,
964,970,974,977,986,989,991,993,995,996,999,1008,1009,1011,1014,1020,1021,
1022,1026,1028,1034,1041,1045,1052,1053,1057,1059,1062,1069,1073,1076,1090,
1098,1100,1103,1105,1113,1114,1126,1128,1131,1140,1142,1143,1146,1147,1150,
1151,1159,1161,1164,1166,1172,1185,1186,1187,1188,1316,1318,1330,1334,1343,
1358,1365,1369,1384,1386,1405,1410,1434,1449,1466,1469,1473,1482,1483,1489,
1497,1502,1510,1518,1524,1534,1539,1550,1555,1556,1558,1564,1578,1579,1583,
1589,1593,1594,1595,1596,1597,1654,1667,1670,1671,1678,1682,1685,1687,1688,
1689,1692,1832,1845,1854,1861,1863,1928,1933,1962,1964,1969,1973,2138],[1,2,3,
4,5,6,7,8,9,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,
38,39,40,41,42,43,44,46,47,48,49,71,75,76,77,79,82,83,84,85,87,88,90,91,92,93,
94,95,96,98,102,104,107,108,109,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,127,128,129,130,131,132,133,134,135,136,137,138,140,142,143,145,
146,147,148,149,150,151,152,153,155,156,159,160,161,163,164,165,167,168,170,
172,173,174,175,178,180,183,184,186,187,189,190,191,193,194,196,197,198,199,
200,201,202,203,204,205,207,208,210,211,212,213,214,215,218,258,259,265,268,
269,272,274,276,279,280,284,287,288,289,290,292,293,297,299,300,303,305,306,
307,308,309,310,311,313,315,316,317,319,320,327,328,329,330,335,336,340,341,
343,344,345,346,347,352,354,355,356,359,361,362,363,364,365,367,368,370,373,
374,375,377,378,379,381,382,383,386,387,388,390,391,395,396,397,398,400,403,
404,405,407,408,409,410,411,415,418,419,423,425,426,427,431,432,433,434,439,
440,443,445,447,448,449,451,452,453,454,455,457,459,460,469,470,471,473,474,
475,476,477,478,479,480,483,486,488,489,490,491,496,498,499,500,506,507,508,
509,510,511,512,519,520,523,524,526,527,528,532,534,535,538,545,548,549,550,
552,556,557,559,560,561,562,563,564,565,566,567,568,569,573,576,580,583,585,
587,591,592,595,596,597,608,611,614,615,617,620,621,622,623,698,704,713,716,
725,727,729,731,732,737,741,746,749,752,755,756,757,759,762,763,772,773,774,
784,789,794,796,797,801,803,806,807,809,811,818,820,824,825,830,831,833,837,
838,841,842,843,844,846,848,850,860,861,863,865,866,870,876,877,881,884,885,
886,887,888,890,891,896,899,901,903,910,913,914,919,921,926,928,930,933,942,
944,948,949,950,952,956,959,960,961,966,969,970,972,973,975,976,978,979,982,
983,984,988,992,997,1001,1002,1004,1006,1009,1010,1012,1023,1027,1033,1040,
1042,1044,1049,1051,1054,1055,1056,1058,1063,1064,1068,1075,1077,1078,1079,
1083,1084,1086,1087,1091,1094,1099,1102,1107,1109,1112,1120,1121,1124,1125,
1127,1129,1132,1136,1137,1139,1140,1141,1144,1145,1153,1154,1155,1156,1158,
1162,1165,1167,1170,1180,1181,1314,1320,1339,1350,1362,1363,1366,1368,1370,
1379,1386,1388,1389,1392,1398,1401,1404,1414,1416,1417,1424,1425,1428,1430,
1440,1441,1443,1456,1460,1461,1462,1463,1468,1479,1487,1490,1500,1504,1508,
1511,1512,1528,1529,1544,1545,1546,1548,1572,1599,1610,1614,1615,1616,1625,
1627,1630,1638,1652,1664,1672,1673,1676,1677,1679,1681,1831,1846,1864,1865,
1873,1877,1885,1901,1903,1908,1914,1935,1936,1940,1948,2139],[1,2,3,5,6,7,8,9,
13,20,21,22,23,24,26,27,28,29,32,35,36,39,40,47,48,75,76,81,87,92,93,94,96,97,
104,109,111,112,114,115,118,120,127,128,129,131,135,138,141,145,149,151,153,
158,161,162,165,168,169,171,174,182,185,189,193,199,201,202,214,257,262,265,
266,268,288,289,299,300,301,304,307,328,329,333,352,366,368,371,379,390,398,
399,405,411,419,423,425,427,428,431,432,445,447,448,451,455,468,471,477,480,
493,499,511,535,536,539,543,544,547,551,552,553,563,570,571,580,581,594,596,
599,602,605,707,710,714,718,735,783,789,790,800,802,803,804,809,830,844,879,
881,886,930,940,953,966,968,974,985,992,1006,1011,1016,1019,1029,1030,1040,
1084,1086,1103,1117,1120,1135,1142,1156,1178,1182,1319,1328,1333,1357,1367,
1372,1426,1453,1476,1510,1522,1528,1530,1546,1611,1635,1643,1647,1663,1819,
1871,1893,1898,1915,1920,1952,2140],[1,2,3,4,5,7,8,9,13,14,15,18,19,20,21,25,
26,27,28,29,30,32,33,37,38,39,40,41,42,43,44,45,46,47,69,71,72,75,76,83,84,85,
86,87,88,89,90,91,92,94,101,102,104,107,108,112,113,115,116,117,118,119,120,
121,122,123,124,125,127,128,130,131,132,133,134,136,137,138,140,141,142,143,
145,146,148,150,151,152,153,154,155,156,157,158,159,160,164,165,167,170,172,
173,174,175,178,179,184,186,187,197,207,209,212,216,217,219,255,259,265,267,
269,276,280,281,283,284,289,290,292,293,295,297,298,300,301,303,306,307,308,
309,310,312,313,316,318,322,325,327,328,329,330,331,335,336,337,338,339,340,
341,342,343,345,349,351,352,353,356,357,359,361,362,363,365,366,367,372,374,
377,378,382,384,385,386,387,388,389,390,391,392,395,396,400,401,403,404,410,
411,413,415,416,418,421,426,429,431,433,434,439,442,443,444,445,446,450,453,
454,458,462,464,468,470,472,473,476,486,490,492,493,496,497,502,504,506,507,
512,513,514,518,520,521,522,523,525,526,532,533,536,537,538,539,542,546,547,
548,549,550,551,554,558,563,565,569,575,582,583,589,590,609,612,613,616,698,
705,706,708,719,720,724,731,732,740,741,749,752,754,755,756,762,764,765,768,
772,773,774,775,778,779,782,801,802,803,808,813,817,829,831,839,843,846,848,
849,857,858,859,860,865,867,870,871,878,882,883,884,885,894,895,896,898,900,
901,903,905,907,909,911,912,913,918,922,924,930,932,935,936,938,939,940,941,
944,948,950,951,956,962,963,965,966,967,969,971,973,976,979,980,981,985,997,
1000,1003,1005,1007,1010,1013,1016,1017,1019,1024,1025,1030,1031,1037,1039,
1046,1047,1048,1049,1054,1060,1061,1062,1070,1074,1079,1081,1088,1089,1093,
1096,1105,1106,1110,1133,1139,1148,1162,1163,1168,1170,1173,1175,1181,1312,
1339,1341,1352,1355,1366,1370,1371,1373,1379,1381,1387,1392,1393,1396,1398,
1400,1401,1403,1405,1409,1412,1414,1416,1421,1428,1430,1440,1442,1443,1458,
1465,1470,1481,1492,1505,1527,1538,1542,1551,1559,1565,1569,1575,1581,1585,
1587,1592,1600,1602,1609,1617,1621,1629,1641,1648,1663,1675,1683,1684,1690,
1828,1846,1847,1851,1855,1860,1867,1873,1879,1882,1900,1917,1919,1925,1944,
2141],[1,2,3,5,8,13,14,15,16,17,20,21,24,27,29,31,32,34,35,45,70,71,73,74,75,
76,79,86,87,88,89,90,93,97,98,99,100,101,103,105,106,110,112,115,120,121,125,
126,129,132,139,143,144,147,154,157,158,161,162,163,166,169,171,176,177,179,
188,195,201,256,258,260,261,262,263,264,265,266,267,268,269,285,286,287,288,
295,296,299,301,302,304,306,309,310,312,314,315,317,323,324,328,331,347,353,
356,361,368,374,375,379,380,391,394,399,402,405,406,412,420,422,428,435,436,
441,450,458,463,487,494,495,530,531,540,553,555,577,578,584,586,604,607,610,
618,700,701,702,708,709,713,717,728,733,735,738,739,741,742,743,744,745,747,
750,758,759,765,766,771,772,784,787,790,791,798,799,809,810,814,816,819,821,
825,826,827,832,835,840,847,858,859,868,873,875,888,914,920,923,953,955,964,
974,977,986,989,991,993,995,996,999,1011,1014,1021,1022,1026,1034,1052,1053,
1069,1150,1151,1316,1318,1334,1335,1342,1358,1365,1369,1381,1384,1389,1410,
1434,1449,1466,1469,1473,1489,1497,1502,1519,1534,1558,1583,1590,1594,1606,
1643,1650,1651,1654,1666,1667,1669,1820,1845,1888,1890,1933,1949,1950,2142],[
1,2,3,4,5,6,8,9,13,18,19,20,21,22,23,24,27,29,32,35,36,39,40,47,49,75,76,81,
83,85,87,91,93,96,97,109,111,112,113,114,115,120,129,135,138,141,145,149,151,
153,155,158,161,162,168,169,171,174,182,185,196,200,201,203,204,214,257,262,
265,266,268,273,275,288,299,301,303,304,307,328,344,345,366,368,370,378,379,
388,397,399,405,408,411,423,427,428,431,445,448,451,452,455,464,471,492,521,
522,542,543,544,553,556,557,558,559,562,563,564,567,570,571,576,581,592,594,
599,602,605,699,714,718,735,761,788,789,790,800,801,802,804,809,824,829,837,
842,867,879,881,909,930,953,966,968,974,982,1011,1017,1023,1024,1029,1035,
1058,1067,1103,1123,1124,1129,1142,1156,1165,1171,1332,1333,1340,1357,1372,
1402,1426,1453,1467,1510,1528,1530,1544,1585,1608,1642,1643,1646,1661,1829,
1880,1897,1899,1915,1918,1952,2143],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,71,73,75,76,77,78,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,98,
102,103,104,105,107,108,109,110,111,113,114,116,117,118,119,121,122,123,124,
126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,164,165,167,168,
170,172,173,174,175,176,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,196,197,198,199,200,201,202,203,204,205,207,208,209,210,211,
212,213,214,215,216,217,218,219,258,263,266,267,268,269,270,272,274,279,284,
285,289,290,291,292,293,294,295,297,300,301,302,303,305,307,308,309,311,313,
314,315,316,327,329,330,331,335,336,339,340,341,343,346,347,348,353,354,355,
357,359,360,362,364,365,366,367,368,373,375,378,380,381,382,383,386,387,393,
395,400,403,404,406,407,409,410,411,414,415,417,423,424,426,427,430,431,433,
434,438,440,441,443,444,446,447,449,451,452,453,454,456,457,460,462,464,465,
467,468,469,470,471,473,474,475,476,477,479,480,483,484,486,488,489,490,491,
492,493,496,498,499,500,501,506,507,508,509,510,511,512,516,517,519,520,524,
528,532,533,534,535,536,540,542,545,547,549,557,558,559,560,561,562,565,566,
567,568,569,570,572,573,574,576,577,583,586,587,589,590,591,592,595,596,597,
608,609,611,612,613,614,615,616,617,620,621,622,623,708,713,717,729,730,731,
733,737,747,752,753,755,756,758,761,762,763,773,774,775,776,777,780,781,783,
785,791,794,795,797,800,806,822,823,830,833,834,836,837,838,839,843,844,845,
849,850,851,852,853,854,855,856,857,861,862,863,866,867,869,876,877,880,881,
887,889,890,891,895,898,899,903,907,910,917,918,919,921,926,927,928,929,932,
938,940,941,945,948,952,958,959,960,961,962,965,968,969,970,972,973,980,981,
982,983,984,988,997,1000,1009,1012,1017,1019,1024,1025,1026,1030,1032,1039,
1041,1045,1049,1051,1054,1055,1056,1062,1063,1073,1075,1078,1079,1083,1091,
1093,1094,1099,1102,1105,1107,1113,1121,1125,1130,1132,1136,1137,1140,1141,
1144,1145,1148,1153,1158,1167,1170,1180,1181,1187,1188,1330,1334,1343,1350,
1355,1363,1366,1368,1378,1379,1386,1390,1394,1395,1396,1399,1400,1404,1405,
1406,1412,1416,1421,1424,1427,1440,1442,1456,1457,1459,1463,1464,1465,1487,
1493,1494,1501,1506,1508,1516,1521,1526,1535,1548,1553,1554,1560,1582,1593,
1604,1605,1612,1625,1628,1637,1647,1659,1661,1670,1672,1676,1677,1681,1683,
1690,1832,1847,1848,1859,1868,1872,1875,1882,1905,1906,1910,1911,1932,1935,
1940,2144],[1,2,3,5,8,13,14,15,16,17,20,21,24,25,27,29,30,32,33,69,70,71,72,
73,74,75,76,86,87,88,89,90,93,97,99,101,103,105,108,110,112,120,121,123,125,
126,132,144,146,156,162,163,166,169,171,176,177,188,195,201,255,256,261,262,
263,266,267,269,285,286,287,288,296,297,298,299,302,304,306,309,310,312,314,
316,317,318,323,324,328,368,379,380,391,394,399,400,401,402,405,406,412,414,
420,422,424,426,428,435,436,456,463,494,495,530,531,553,578,584,700,701,702,
703,706,716,717,728,731,735,738,739,742,743,744,750,754,766,769,771,772,778,
787,790,799,808,810,813,821,825,826,827,835,840,851,873,920,937,953,964,986,
989,995,996,1008,1011,1014,1020,1021,1022,1026,1028,1057,1059,1166,1172,1310,
1324,1335,1343,1365,1369,1384,1409,1410,1422,1437,1441,1449,1497,1555,1564,
1567,1578,1579,1590,1643,1645,1662,1666,1669,1810,1813,1861,1863,1888,1889,
1950,2145],[1,2,3,6,10,11,12,13,14,15,22,23,50,51,53,54,55,56,58,59,61,69,71,
72,77,78,80,82,95,96,220,221,224,226,227,230,231,232,233,234,255,270,271,277,
278,279,282,624,627,630,633,635,636,645,647,649,651,659,661,662,666,668,723,
1189,1194,1195,1200,1210,1211,1213,1214,1234,1237,1239,1242,1250,1264,1693,
1695,1723,1764,1995,1996,2000,2146],[1,2,4,9,10,11,12,15,18,23,26,39,50,51,52,
56,60,65,66,67,68,69,77,80,124,136,143,167,189,196,220,223,227,228,232,233,
235,242,243,247,277,281,459,481,525,561,574,624,628,629,633,635,636,642,649,
652,654,655,661,683,684,695,1104,1189,1190,1193,1212,1213,1236,1239,1247,1254,
1269,1275,1276,1280,1292,1693,1699,1768,1794,1996,1998,1999,2147],[1,2,3,4,7,
10,11,12,13,14,15,18,19,26,28,50,51,52,53,54,55,56,57,58,66,69,71,72,83,102,
122,124,128,130,134,136,175,220,221,222,223,224,226,227,228,229,231,242,244,
255,281,283,338,387,389,404,624,628,630,633,635,636,637,643,650,651,652,653,
654,656,659,660,676,693,719,1192,1193,1194,1200,1210,1212,1214,1215,1229,1230,
1233,1236,1262,1271,1693,1696,1722,1782,1995,1999,2001,2148],[1,2,6,7,9,10,11,
12,15,19,22,28,39,48,50,51,56,57,59,60,61,65,67,68,69,78,82,130,134,143,167,
202,204,220,222,227,229,230,234,235,243,244,247,248,278,283,485,509,517,525,
585,624,627,629,633,635,636,642,643,645,647,653,655,674,685,696,1177,1190,
1192,1195,1211,1215,1229,1232,1237,1243,1263,1273,1275,1276,1292,1693,1698,
1760,1776,1998,2000,2001,2149],[1,2,4,6,9,10,11,12,15,18,22,26,39,49,50,51,52,
56,59,61,62,63,64,65,66,68,69,78,82,124,136,143,167,199,200,220,223,227,228,
230,234,238,240,242,246,247,250,251,278,281,478,484,489,505,525,624,625,626,
627,628,633,635,636,641,644,645,647,652,654,665,670,694,1043,1191,1193,1195,
1198,1199,1211,1212,1236,1237,1241,1256,1261,1272,1274,1278,1292,1693,1697,
1759,1780,1997,1999,2000,2150],[1,2,7,9,10,11,12,15,19,23,28,39,50,51,56,57,
62,63,64,65,68,69,77,80,130,134,143,167,193,203,220,222,227,229,232,233,238,
240,244,247,277,283,449,516,525,527,541,624,625,626,633,635,636,641,643,644,
649,653,661,663,678,697,1116,1189,1191,1192,1213,1215,1229,1239,1240,1244,
1255,1257,1272,1278,1292,1693,1701,1790,1795,1996,1997,2001,2151],[1,2,3,9,10,
11,12,13,14,15,39,47,50,51,53,54,55,56,58,60,62,63,64,65,67,68,69,71,72,143,
148,167,174,220,221,224,226,227,231,235,238,240,241,243,245,247,249,252,253,
254,255,361,382,525,582,624,625,626,629,630,633,635,636,641,642,644,651,655,
659,667,680,690,692,922,1190,1191,1194,1196,1197,1200,1210,1214,1231,1253,
1260,1272,1275,1276,1277,1278,1292,1693,1700,1777,1787,1796,1995,1997,1998,
2152],[1,2,3,9,10,11,12,13,16,17,39,47,50,51,53,54,55,56,58,60,62,63,64,65,67,
68,70,73,74,174,181,192,195,220,221,224,231,235,236,238,239,240,241,243,245,
247,249,252,253,254,256,572,584,600,606,624,625,626,629,630,631,632,639,640,
669,677,679,680,681,682,687,689,690,692,1143,1190,1191,1194,1196,1197,1201,
1202,1227,1228,1284,1286,1288,1291,1296,1298,1299,1303,1306,1307,1694,1700,
1797,1799,1801,1803,2002,2003,2004,2153],[1,2,3,4,10,13,16,17,18,19,20,50,52,
53,70,73,74,76,81,83,84,85,91,113,118,221,222,223,256,257,259,263,273,275,289,
296,303,377,396,632,634,637,699,701,710,715,749,785,1201,1204,1206,1208,1309,
1326,1329,1721,1806,2006,2154],[1,2,3,7,10,13,16,17,20,26,28,50,53,57,70,73,
74,76,81,84,92,94,104,127,128,131,138,155,165,221,228,229,256,257,259,263,296,
300,307,329,333,363,371,378,418,523,538,632,634,650,701,707,714,715,732,780,
788,889,1010,1201,1204,1207,1209,1218,1226,1309,1322,1338,1431,1438,1720,1743,
1838,2006,2155],[1,2,3,5,8,10,13,14,15,16,17,20,21,24,27,29,32,50,53,70,71,73,
74,75,76,81,84,87,88,90,93,101,103,105,106,110,115,125,126,144,147,158,166,
176,177,221,226,227,256,257,259,263,264,265,266,269,276,280,285,286,288,296,
301,302,312,314,315,322,325,334,358,379,394,399,405,406,412,420,463,632,634,
659,698,700,701,705,709,711,712,715,717,718,733,739,742,744,746,766,787,804,
821,826,875,977,996,999,1201,1203,1204,1205,1216,1217,1309,1321,1325,1365,
1419,1433,1466,1712,1740,1751,1808,2006,2156],[1,2,3,6,12,13,16,17,20,22,23,
56,58,59,70,73,74,76,81,84,96,114,135,141,168,230,231,232,256,257,259,263,296,
319,320,366,427,571,581,639,646,662,701,704,715,782,879,880,1227,1249,1251,
1282,1309,1374,1415,1792,1809,2008,2157],[1,2,3,5,8,11,13,14,15,16,17,20,21,
24,27,29,32,51,54,55,69,70,71,72,73,74,75,76,86,87,88,89,90,93,97,99,101,103,
105,110,121,125,126,132,144,163,166,171,176,177,188,201,224,236,239,255,256,
261,262,263,266,267,269,285,286,287,288,296,298,299,302,304,309,312,314,317,
318,323,324,368,379,380,394,399,401,405,406,412,420,428,435,436,463,530,578,
631,633,638,669,700,701,702,703,706,716,717,728,735,738,739,742,744,750,766,
769,771,787,799,810,821,825,826,827,835,840,873,953,995,996,1021,1022,1026,
1200,1202,1219,1220,1224,1245,1258,1310,1324,1365,1369,1384,1422,1437,1497,
1567,1734,1756,1758,1770,1810,2007,2158],[1,2,3,9,10,13,16,17,20,39,47,50,53,
60,64,70,73,74,76,81,84,112,120,151,153,174,181,192,195,221,235,238,252,256,
257,259,263,296,328,411,526,543,544,550,572,584,600,606,632,634,680,701,715,
743,781,976,986,1029,1143,1146,1201,1204,1221,1223,1303,1309,1435,1472,1596,
1669,1738,1797,1939,2006,2159],[1,2,3,6,10,13,16,17,20,22,23,50,53,61,70,73,
74,76,81,84,96,114,135,141,168,221,233,234,256,257,259,263,296,319,320,366,
427,571,581,632,634,668,701,704,715,782,879,880,1201,1204,1222,1225,1309,1374,
1415,1733,1809,2006,2160],[1,2,4,5,7,8,9,12,15,18,19,20,21,23,26,28,29,31,33,
34,35,37,38,39,40,41,42,43,46,56,66,67,69,77,79,80,81,85,86,90,94,100,106,107,
111,112,113,114,116,119,121,123,124,125,127,129,130,131,133,134,136,140,141,
142,143,145,147,150,151,159,160,164,165,167,170,173,180,189,193,196,203,206,
207,208,210,212,213,225,232,237,242,243,272,275,277,281,283,290,291,292,297,
305,306,318,326,332,342,351,355,357,358,359,364,367,369,371,372,373,374,375,
384,393,397,410,415,429,432,437,443,447,449,454,459,461,469,471,475,479,481,
483,486,488,500,503,507,508,512,513,516,519,521,525,527,528,529,534,539,541,
543,546,547,549,554,555,558,561,562,568,569,574,581,636,646,648,671,675,686,
688,695,726,730,737,751,757,760,768,778,822,828,831,848,861,877,887,897,904,
907,908,910,911,914,935,939,941,945,946,949,951,957,969,973,983,990,1013,1035,
1036,1056,1078,1080,1091,1104,1111,1116,1117,1138,1152,1167,1183,1213,1236,
1248,1252,1259,1265,1270,1276,1282,1295,1344,1364,1477,1487,1495,1513,1516,
1527,1531,1533,1540,1561,1569,1570,1627,1704,1762,1768,1781,1968,2041,2053,
2054,2161],[1,2,5,6,7,8,9,10,14,15,19,20,21,22,23,26,28,29,33,36,39,44,45,48,
50,57,64,72,77,78,80,82,84,85,86,90,94,101,102,104,109,115,116,117,118,120,
123,124,132,134,135,138,140,143,149,152,153,155,158,159,167,168,175,179,193,
202,203,204,209,216,222,226,227,228,229,233,238,271,280,282,291,292,293,297,
298,310,311,320,322,331,337,341,345,348,349,351,354,356,370,377,386,389,390,
393,395,417,418,425,430,439,442,444,445,446,449,450,455,459,460,464,468,478,
480,484,485,496,499,509,538,541,550,552,554,556,557,567,574,575,582,609,614,
634,642,643,644,647,651,652,660,661,663,676,678,720,721,727,730,754,764,770,
794,807,812,836,852,857,858,860,863,865,869,885,895,901,906,918,924,925,927,
928,929,943,960,967,975,1002,1018,1027,1042,1046,1047,1070,1080,1084,1096,
1154,1157,1160,1165,1174,1203,1207,1208,1216,1221,1225,1226,1240,1254,1260,
1261,1263,1264,1271,1349,1385,1572,1576,1580,1581,1582,1598,1604,1616,1618,
1629,1634,1657,1658,1702,1706,1710,1714,1716,1718,1719,1747,1752,1754,1755,
1783,1975,2016,2019,2022,2025,2027,2038,2043,2162],[1,2,4,5,7,8,9,12,15,18,19,
20,21,23,25,26,28,29,30,31,34,35,38,39,40,41,42,43,56,62,63,69,77,79,80,81,86,
90,91,92,100,104,106,107,108,111,113,114,117,119,120,121,124,125,129,130,131,
134,136,137,140,141,142,143,145,147,150,151,159,160,164,165,167,172,178,186,
187,189,190,193,194,196,198,203,205,225,232,237,240,244,273,274,277,281,283,
291,293,305,310,313,316,318,321,333,350,351,357,358,359,367,372,374,375,376,
383,392,393,398,407,408,409,410,415,416,421,437,447,449,454,457,459,466,470,
471,474,476,481,482,483,490,491,492,493,498,507,508,513,516,522,524,525,527,
528,541,544,545,546,551,554,555,560,561,562,565,574,579,581,583,587,636,646,
648,657,658,671,697,726,760,779,795,796,797,812,813,822,850,872,887,888,893,
898,902,903,904,905,912,913,935,939,945,947,949,950,951,957,965,972,983,990,
997,1009,1066,1067,1080,1094,1097,1101,1104,1108,1116,1125,1135,1152,1153,
1180,1213,1229,1238,1246,1268,1270,1278,1279,1282,1302,1348,1475,1484,1508,
1509,1511,1526,1532,1533,1540,1551,1577,1621,1639,1653,1704,1771,1775,1795,
1972,2033,2049,2054,2163],[1,2,3,4,5,7,10,13,14,15,18,19,20,21,25,26,27,28,30,
33,38,50,52,53,57,71,75,76,78,80,83,84,85,88,90,91,92,94,102,107,108,113,115,
116,118,119,122,123,128,131,134,136,137,138,143,146,156,221,222,223,226,227,
228,229,259,265,269,270,276,280,284,289,291,292,294,297,300,303,307,308,313,
316,335,341,345,352,356,361,362,363,374,377,388,390,396,400,403,404,415,417,
418,426,481,485,505,541,634,637,641,642,643,647,649,650,654,656,659,660,698,
721,722,730,731,732,741,749,753,756,773,776,777,795,801,803,823,846,864,865,
869,896,901,904,906,916,944,979,998,1018,1118,1203,1204,1205,1206,1207,1208,
1209,1233,1234,1247,1253,1255,1263,1274,1313,1370,1378,1407,1423,1443,1457,
1562,1574,1584,1618,1702,1703,1705,1706,1707,1708,1709,1712,1718,1720,1721,
1784,1955,2015,2018,2019,2021,2024,2034,2035,2164],[1,2,4,5,6,7,8,9,12,15,18,
19,20,21,22,26,28,29,31,33,34,35,36,38,39,40,41,42,43,48,49,56,59,67,69,78,79,
81,82,86,90,91,92,100,104,106,107,109,112,113,117,119,121,123,124,125,129,130,
131,134,135,136,137,140,141,142,143,145,147,150,151,159,160,164,165,167,172,
178,199,200,202,204,208,211,213,214,215,218,225,230,237,243,244,273,274,278,
281,283,293,294,297,306,311,313,318,321,333,344,348,350,351,357,358,359,367,
372,374,375,376,383,392,407,409,410,415,416,419,421,440,451,454,457,460,466,
474,478,479,482,484,485,486,489,490,491,492,493,498,505,507,509,510,511,512,
513,515,517,521,525,529,534,539,543,545,546,554,555,559,565,571,573,583,585,
636,646,648,671,672,675,696,726,753,767,778,779,794,805,811,834,848,850,864,
874,893,899,903,907,908,910,912,914,917,921,933,934,935,939,946,947,950,951,
965,969,972,1013,1043,1051,1066,1082,1097,1102,1121,1123,1136,1149,1160,1176,
1177,1182,1211,1229,1238,1246,1248,1249,1252,1266,1276,1302,1348,1436,1495,
1496,1500,1515,1517,1541,1543,1554,1557,1563,1569,1621,1625,1704,1776,1778,
1789,1993,2049,2051,2053,2165],[1,2,4,5,6,7,8,9,12,15,18,19,20,21,22,25,26,28,
29,30,31,34,35,36,37,38,39,40,41,42,43,46,48,49,56,59,62,63,66,69,78,79,81,82,
85,86,90,94,100,106,107,108,109,113,116,119,120,121,124,125,127,129,130,131,
133,134,135,136,140,141,142,143,145,147,150,151,159,160,164,165,167,170,173,
180,183,186,187,190,191,194,198,199,200,202,204,205,206,207,210,211,212,214,
215,218,225,230,237,240,242,250,251,272,275,278,281,283,290,292,294,310,311,
316,318,326,332,342,348,351,355,357,358,359,364,367,369,370,371,372,373,374,
375,384,410,415,425,429,440,443,451,454,461,469,470,475,476,478,484,485,488,
489,500,503,505,507,509,510,511,513,515,517,519,522,524,525,544,546,547,549,
551,554,555,558,559,566,569,571,573,579,585,587,620,621,622,623,636,646,648,
657,658,671,672,686,688,694,726,768,777,793,805,806,807,813,828,831,834,861,
864,872,874,877,888,897,898,899,902,905,911,913,917,921,933,934,935,939,941,
951,973,997,1009,1036,1043,1083,1085,1138,1141,1144,1145,1149,1160,1171,1177,
1178,1184,1211,1236,1249,1259,1265,1266,1268,1278,1279,1283,1290,1295,1344,
1353,1484,1494,1498,1503,1515,1517,1527,1548,1551,1566,1571,1599,1626,1704,
1773,1780,1793,1991,2033,2041,2051,2166],[1,2,3,5,6,12,13,20,21,22,23,24,27,
31,36,40,56,58,59,75,76,79,81,93,96,98,99,109,111,114,115,135,141,145,149,163,
168,218,225,230,231,232,257,258,261,265,266,287,299,366,405,423,427,431,448,
455,483,571,573,581,646,648,662,664,672,673,718,750,759,789,802,876,879,930,
968,1156,1235,1249,1251,1266,1270,1282,1293,1315,1357,1453,1504,1552,1779,
1792,1862,2014,2167],[1,2,3,5,9,12,13,20,21,24,27,31,39,47,56,58,62,63,67,75,
76,79,81,93,98,99,112,115,120,151,153,162,163,169,174,182,185,225,231,240,243,
249,254,257,258,261,265,266,287,299,328,405,411,445,543,544,553,563,570,598,
601,603,619,646,648,664,673,692,718,750,759,790,800,966,1011,1029,1076,1100,
1235,1251,1252,1279,1293,1300,1304,1315,1372,1426,1589,1590,1786,1802,1953,
2014,2168],[1,2,3,4,5,12,13,18,19,20,21,24,27,31,56,58,66,75,76,79,81,83,85,
91,93,98,99,113,115,138,163,225,231,242,244,257,258,261,265,266,273,275,287,
299,303,307,345,388,405,646,648,664,673,693,699,714,718,750,759,761,801,1235,
1238,1251,1265,1293,1315,1319,1340,1767,1807,2014,2169],[1,2,4,5,6,8,9,10,15,
18,20,21,22,23,25,26,29,30,39,44,45,49,50,52,61,64,69,77,78,80,82,84,86,90,91,
92,104,108,111,114,115,117,118,120,121,124,125,136,137,138,143,149,152,153,
155,158,167,168,172,178,179,189,196,199,200,217,219,223,227,228,234,238,246,
277,278,280,281,291,293,305,310,313,316,318,319,325,331,341,352,354,356,360,
363,386,388,392,393,395,396,398,408,416,417,421,430,439,444,445,448,452,458,
459,462,468,472,477,478,481,484,489,490,497,505,525,535,537,538,542,550,552,
556,560,561,574,576,612,617,634,635,641,644,645,647,652,654,665,670,721,724,
725,760,779,795,796,797,812,813,823,836,846,849,856,857,858,860,885,896,926,
927,929,943,959,963,978,998,1002,1003,1012,1015,1018,1025,1027,1043,1050,1061,
1064,1074,1081,1092,1104,1112,1120,1129,1163,1203,1206,1209,1212,1217,1221,
1222,1226,1237,1241,1256,1261,1272,1274,1347,1475,1505,1535,1560,1584,1586,
1587,1598,1610,1613,1614,1622,1658,1668,1705,1707,1710,1713,1716,1717,1718,
1737,1739,1741,1749,1759,1986,2024,2025,2031,2032,2039,2042,2048,2170],[1,2,4,
5,6,7,8,9,10,14,15,18,20,21,22,23,25,26,28,29,30,36,37,39,43,44,45,49,50,52,
57,60,72,77,78,80,82,84,86,90,91,92,101,108,109,112,115,118,122,127,130,132,
133,135,136,137,138,143,149,152,153,155,158,160,164,167,168,175,179,183,189,
191,196,199,200,217,219,223,226,227,228,229,233,235,271,280,282,290,291,298,
306,311,313,316,320,322,331,338,341,344,348,352,354,356,363,372,385,386,388,
393,395,396,413,417,419,430,442,450,452,453,455,462,477,480,481,489,505,516,
517,523,526,527,533,536,542,548,554,557,561,563,564,566,575,580,582,585,612,
617,634,641,647,651,653,654,655,656,661,676,683,684,720,721,727,740,751,770,
795,806,808,811,823,836,839,841,846,849,852,853,859,870,896,915,924,925,928,
929,956,959,967,975,998,1004,1012,1018,1025,1044,1065,1086,1089,1106,1109,
1110,1115,1124,1149,1152,1175,1203,1206,1209,1216,1218,1223,1225,1244,1262,
1264,1269,1273,1274,1277,1349,1356,1480,1492,1520,1537,1549,1560,1575,1580,
1584,1620,1630,1652,1659,1705,1707,1711,1714,1715,1718,1719,1724,1736,1742,
1753,1798,1988,2024,2026,2043,2044,2047,2050,2055,2171],[1,2,3,9,11,13,14,15,
16,17,24,39,47,51,54,55,65,68,69,70,71,72,73,74,93,97,99,143,148,162,167,169,
174,181,182,185,192,195,224,241,245,247,253,255,256,261,262,286,302,317,361,
382,525,553,570,572,582,584,598,600,602,603,605,606,631,633,638,690,700,703,
810,855,922,923,964,1014,1100,1103,1143,1147,1155,1200,1202,1220,1267,1281,
1284,1292,1310,1536,1539,1550,1606,1645,1650,1769,1787,1799,1971,2007,2172],[
1,2,4,5,6,7,8,9,10,14,15,18,20,21,22,23,26,28,29,33,37,39,43,44,45,49,50,52,
57,61,64,72,77,78,80,82,84,86,90,91,92,101,111,114,115,118,120,122,123,127,
130,132,133,136,137,138,143,149,152,153,155,158,160,164,167,168,175,179,189,
196,199,200,209,216,223,226,227,228,229,234,238,246,271,280,282,290,294,297,
298,305,310,313,319,322,331,338,341,348,352,354,356,360,363,372,385,386,388,
393,395,396,398,408,413,417,442,445,448,450,452,453,462,477,481,489,505,516,
517,523,527,533,535,536,542,548,550,552,554,556,561,568,575,576,582,585,609,
617,634,642,644,645,649,651,653,654,656,665,670,676,720,722,725,737,740,753,
754,792,793,796,839,841,846,853,854,856,858,862,863,865,869,870,885,916,918,
924,925,926,943,959,967,978,998,1025,1027,1064,1065,1089,1106,1110,1112,1115,
1120,1129,1149,1152,1175,1203,1206,1209,1216,1218,1221,1222,1241,1242,1243,
1247,1257,1260,1262,1345,1359,1479,1480,1492,1506,1523,1562,1576,1581,1605,
1614,1622,1631,1660,1702,1705,1708,1710,1713,1714,1715,1737,1739,1742,1753,
1761,1985,2022,2029,2032,2035,2037,2046,2055,2173],[1,2,5,6,7,8,9,10,14,15,19,
20,21,22,23,25,26,28,29,30,39,44,45,48,50,57,60,61,72,77,78,80,82,84,85,86,90,
94,101,102,104,108,111,112,114,115,116,117,118,124,132,134,138,140,143,149,
152,153,155,158,159,167,168,175,179,193,202,203,204,217,219,222,226,227,228,
229,234,235,248,271,280,282,292,293,294,298,305,306,316,319,322,331,337,341,
345,348,349,351,354,356,360,377,386,389,390,393,395,397,417,418,432,439,442,
444,446,448,449,450,459,464,468,478,484,485,496,499,509,526,535,538,541,554,
560,563,564,567,574,575,576,580,582,612,614,634,641,643,645,649,651,652,655,
660,674,676,685,720,722,725,757,764,767,777,792,797,808,823,849,854,856,857,
859,860,862,895,896,901,906,915,916,924,925,926,927,956,960,967,978,1002,1004,
1012,1040,1046,1047,1058,1068,1070,1080,1096,1127,1157,1160,1174,1203,1207,
1208,1216,1222,1223,1226,1232,1242,1255,1256,1271,1277,1280,1345,1451,1520,
1521,1535,1574,1575,1610,1615,1624,1629,1649,1657,1660,1665,1706,1707,1708,
1711,1713,1714,1716,1726,1745,1752,1754,1763,1982,2030,2031,2034,2036,2037,
2038,2044,2174],[1,2,3,4,5,6,7,9,10,13,14,15,18,19,20,21,22,23,26,27,28,36,38,
39,41,42,44,47,48,49,50,52,53,57,60,61,64,71,75,76,77,82,83,84,85,88,90,91,92,
94,95,96,102,107,109,111,112,113,114,115,116,118,119,120,122,128,131,134,135,
136,137,138,148,149,150,151,152,153,167,168,174,184,189,193,196,197,199,200,
202,203,204,211,215,221,222,223,226,227,228,229,233,234,235,238,246,248,252,
259,265,269,276,279,280,284,289,292,300,303,305,306,307,308,310,311,313,319,
320,327,328,335,341,344,345,346,352,354,359,362,363,370,377,381,382,386,388,
390,391,396,397,398,403,404,408,411,415,418,419,423,425,427,432,433,434,440,
445,447,448,449,452,455,477,480,489,499,508,509,510,511,526,528,535,550,552,
556,557,559,561,562,563,564,567,576,580,592,596,597,608,614,617,634,637,643,
644,645,650,654,655,656,659,660,661,663,665,666,667,668,670,674,678,680,683,
684,685,698,704,725,727,732,749,752,756,757,763,772,773,789,796,801,803,807,
811,818,820,824,830,837,844,846,885,886,887,901,919,921,926,928,944,956,959,
960,961,966,976,979,982,1001,1004,1006,1023,1027,1040,1042,1044,1055,1058,
1064,1068,1075,1084,1086,1087,1107,1109,1112,1120,1124,1127,1129,1137,1154,
1162,1165,1203,1204,1205,1206,1207,1208,1209,1221,1222,1223,1225,1231,1232,
1233,1240,1241,1250,1269,1285,1287,1294,1301,1314,1368,1388,1401,1443,1456,
1461,1544,1546,1614,1615,1616,1630,1638,1664,1673,1679,1703,1705,1706,1709,
1710,1711,1712,1713,1719,1720,1721,1724,1726,1733,1736,1737,1738,1739,1745,
1746,1747,1750,1755,1785,1908,2013,2016,2018,2028,2030,2032,2047,2067,2068,
2073,2076,2175],[1,2,3,5,6,7,10,13,14,15,20,21,22,23,25,26,27,28,30,33,36,37,
50,53,57,61,71,75,76,77,82,84,88,90,95,96,104,108,109,111,114,115,117,123,124,
127,128,130,133,135,142,143,146,149,155,156,165,168,175,183,191,221,226,227,
228,229,233,234,259,265,269,276,279,280,290,293,297,305,311,316,319,320,329,
336,340,343,346,354,356,361,365,374,378,381,387,395,400,410,423,426,427,439,
448,455,459,460,478,523,527,538,548,560,566,568,585,634,641,642,645,650,652,
653,659,661,666,668,676,698,704,725,727,731,737,741,762,763,774,789,794,797,
806,818,841,860,863,865,870,884,896,933,949,975,978,1002,1010,1012,1077,1132,
1139,1158,1203,1204,1205,1218,1222,1225,1226,1230,1243,1244,1250,1253,1254,
1256,1314,1350,1370,1398,1425,1463,1468,1479,1572,1610,1652,1702,1707,1712,
1713,1715,1716,1719,1730,1733,1743,1750,1765,1948,2013,2015,2020,2026,2027,
2029,2031,2176],[1,2,3,4,5,7,8,10,13,14,15,18,19,20,21,26,27,28,29,32,37,38,
43,45,46,50,52,53,57,69,71,72,75,76,83,84,85,86,87,88,89,90,91,92,94,101,102,
104,107,113,115,116,117,118,119,121,122,124,125,127,128,130,131,132,133,134,
136,137,138,140,142,154,155,157,158,159,160,164,165,170,172,173,175,178,179,
221,222,223,226,227,228,229,255,259,265,267,269,276,280,281,283,284,289,290,
292,293,295,298,300,301,303,307,308,309,312,313,318,322,325,329,331,335,336,
337,338,340,341,342,343,345,349,351,352,353,362,363,365,372,377,378,384,385,
387,388,389,390,392,395,396,401,403,404,410,413,415,416,418,421,429,439,442,
443,444,446,450,453,454,458,462,464,468,472,473,490,496,497,502,504,506,507,
513,514,518,520,523,532,533,536,538,542,546,548,575,634,635,637,643,650,651,
652,653,654,656,659,660,676,698,705,706,708,719,720,724,732,740,749,756,762,
764,765,768,773,774,779,801,803,817,839,846,857,860,867,870,878,882,884,894,
895,901,932,935,936,938,944,967,971,979,980,1000,1003,1005,1007,1010,1025,
1030,1031,1037,1046,1047,1048,1060,1061,1070,1074,1081,1089,1096,1106,1110,
1133,1139,1148,1163,1168,1173,1175,1181,1203,1204,1205,1206,1207,1208,1209,
1212,1214,1215,1216,1217,1218,1226,1230,1233,1262,1271,1312,1387,1398,1403,
1421,1442,1443,1492,1505,1592,1602,1617,1629,1641,1648,1675,1684,1703,1705,
1706,1709,1712,1714,1715,1716,1717,1720,1721,1722,1725,1730,1735,1741,1742,
1743,1748,1749,1751,1752,1753,1754,1855,2018,2020,2023,2038,2040,2048,2055,
2056,2060,2075,2079,2177],[1,2,3,4,5,7,8,12,13,14,15,18,19,20,21,26,27,28,29,
31,32,34,35,37,38,43,46,56,58,66,69,71,72,75,76,79,81,83,85,86,87,88,89,90,91,
92,94,98,100,101,102,104,106,107,113,116,117,119,121,122,124,125,127,128,129,
130,131,132,133,134,136,137,139,140,142,147,159,160,161,164,165,170,172,173,
175,178,180,206,210,225,231,237,242,244,255,257,258,260,264,267,268,269,272,
273,274,275,281,283,284,290,292,293,298,300,303,308,309,312,313,315,318,321,
326,329,332,333,334,335,336,337,338,340,342,343,347,349,350,351,355,358,362,
364,369,371,372,373,375,376,383,384,385,387,389,392,401,404,407,409,410,413,
415,416,421,429,443,453,454,457,461,466,469,473,474,475,482,487,488,490,491,
496,498,500,502,503,504,506,507,513,514,518,519,520,532,545,546,555,636,646,
648,664,671,686,688,691,693,699,706,707,712,713,719,726,729,736,740,745,756,
762,764,768,779,786,815,828,833,850,861,866,877,878,882,892,893,894,897,935,
936,947,952,954,972,984,988,994,1005,1007,1036,1038,1060,1066,1071,1072,1097,
1099,1119,1138,1169,1181,1210,1229,1235,1236,1238,1246,1251,1259,1265,1295,
1302,1305,1311,1327,1337,1344,1348,1363,1387,1488,1499,1568,1704,1767,1782,
1791,1800,1805,2017,2041,2049,2178],[1,2,3,5,6,8,10,13,14,15,20,21,22,23,27,
29,32,36,45,50,53,61,69,71,72,75,76,77,78,80,82,84,86,87,88,89,90,95,96,101,
109,111,114,115,121,125,132,135,149,154,157,158,168,179,221,226,227,233,234,
255,259,265,267,269,270,271,276,277,278,279,280,282,291,294,295,298,301,305,
309,311,312,318,319,320,322,325,331,346,348,353,354,360,381,393,401,417,423,
427,430,448,450,455,458,634,635,645,647,649,651,659,661,666,668,698,704,705,
706,708,720,721,722,723,724,725,727,760,763,765,770,776,789,792,805,817,818,
836,852,854,856,925,958,1015,1203,1204,1205,1214,1216,1217,1222,1225,1234,
1237,1239,1242,1250,1264,1312,1313,1314,1345,1346,1347,1349,1444,1459,1708,
1712,1713,1714,1717,1718,1719,1725,1733,1750,1751,1764,1804,2013,2021,2023,
2037,2042,2043,2052,2179],[1,2,3,5,8,9,10,13,14,15,20,21,25,27,29,30,32,33,39,
41,42,44,45,47,50,53,60,64,69,71,72,75,76,84,86,87,88,89,90,101,108,112,115,
120,121,123,125,132,143,146,148,150,151,152,153,154,156,157,158,167,174,179,
184,197,209,216,217,219,221,226,227,235,238,252,255,259,265,267,269,276,280,
295,297,298,301,306,309,310,312,316,318,322,325,327,328,331,353,356,359,361,
374,382,386,391,400,401,411,426,433,434,445,450,458,525,526,537,550,554,563,
582,589,590,609,612,613,616,634,635,641,642,644,651,655,659,667,680,698,705,
706,708,720,724,731,741,752,754,765,772,778,808,813,817,849,858,859,865,883,
885,896,900,918,922,924,939,956,963,966,976,1062,1105,1162,1203,1204,1205,
1214,1216,1217,1221,1223,1231,1253,1260,1272,1275,1277,1312,1370,1373,1381,
1401,1405,1409,1538,1575,1581,1587,1702,1707,1710,1711,1712,1714,1717,1725,
1738,1746,1751,1777,1900,2015,2022,2023,2028,2039,2044,2045,2180],[1,2,5,6,7,
8,9,10,15,19,20,21,22,23,25,28,29,30,36,37,39,44,45,46,48,50,57,64,69,77,78,
80,82,84,85,86,90,94,108,109,115,116,118,120,121,125,127,130,133,134,135,138,
143,149,152,153,155,158,167,168,170,173,179,183,191,193,202,203,204,217,219,
222,227,229,233,238,277,278,280,283,290,292,294,310,311,316,318,320,325,331,
341,342,345,348,354,356,360,370,377,384,386,390,395,417,418,425,429,430,443,
445,446,449,455,458,464,472,480,485,497,499,509,516,517,523,525,527,533,536,
537,541,548,550,552,556,557,566,567,585,612,614,634,635,641,643,644,649,653,
661,663,678,722,724,727,768,777,793,805,806,807,813,823,839,841,849,852,853,
854,858,862,870,885,895,896,901,906,916,928,943,960,963,975,1003,1012,1015,
1027,1037,1042,1084,1116,1122,1133,1154,1165,1168,1173,1177,1179,1203,1207,
1208,1215,1217,1218,1221,1225,1239,1240,1244,1255,1257,1272,1346,1353,1507,
1521,1523,1574,1586,1587,1602,1616,1619,1631,1634,1652,1659,1706,1707,1708,
1710,1715,1717,1719,1735,1747,1748,1755,1790,1990,2016,2026,2034,2039,2040,
2046,2052,2181],[1,2,4,5,6,8,9,10,15,18,20,21,22,23,26,29,33,36,39,44,45,49,
50,52,60,69,77,78,80,82,84,86,90,91,92,104,109,112,115,117,118,121,123,124,
125,135,136,137,138,143,149,152,153,155,158,167,168,172,178,179,189,196,199,
200,209,216,223,227,228,233,235,277,278,280,281,293,294,297,306,311,313,318,
320,325,331,341,344,348,352,354,356,360,363,386,388,392,395,396,416,417,419,
421,430,439,444,452,455,458,459,460,462,468,472,477,478,480,481,484,489,490,
497,505,525,526,537,538,542,557,561,563,564,574,580,609,617,634,635,642,649,
652,654,655,661,683,684,722,724,727,753,767,778,779,794,805,811,846,852,854,
857,859,860,862,863,865,869,915,916,918,927,928,956,959,963,975,998,1002,1003,
1004,1015,1025,1043,1044,1050,1061,1074,1081,1086,1092,1104,1109,1124,1163,
1203,1206,1209,1212,1217,1223,1225,1226,1239,1247,1254,1269,1275,1280,1346,
1436,1505,1538,1562,1572,1603,1604,1605,1613,1619,1620,1630,1649,1665,1702,
1705,1708,1711,1716,1717,1719,1724,1736,1741,1749,1794,1965,2027,2035,2036,
2045,2047,2048,2052,2182],[1,2,5,6,7,8,9,10,15,19,20,21,22,23,28,29,33,37,39,
44,45,46,48,50,57,60,61,69,77,78,80,82,84,85,86,90,94,111,112,114,115,116,118,
121,123,125,127,130,133,134,138,143,149,152,153,155,158,167,168,170,173,179,
193,202,203,204,209,216,222,227,229,234,235,248,277,278,280,283,290,291,292,
297,305,306,318,319,325,331,341,342,345,354,356,360,377,384,386,390,393,395,
397,417,418,429,430,432,443,446,448,449,458,464,472,485,497,499,509,516,517,
523,525,526,527,533,535,536,537,541,548,563,564,567,568,576,580,585,609,614,
634,635,642,643,645,647,653,655,674,685,721,724,725,730,737,751,757,760,768,
778,836,839,841,853,856,859,863,865,869,870,895,901,906,915,918,926,929,956,
960,963,978,1003,1004,1015,1018,1037,1040,1058,1068,1116,1122,1127,1133,1168,
1173,1177,1179,1203,1207,1208,1215,1217,1218,1222,1223,1232,1237,1243,1263,
1273,1275,1347,1364,1479,1506,1507,1537,1538,1549,1582,1602,1603,1615,1618,
1624,1668,1702,1706,1711,1713,1715,1717,1718,1726,1735,1745,1748,1760,1992,
2019,2029,2030,2040,2042,2045,2050,2183],[1,2,3,4,12,13,16,17,18,19,20,56,58,
66,70,73,74,76,81,83,84,85,91,113,118,231,242,244,256,257,259,263,273,275,289,
296,303,377,396,639,646,693,699,701,710,715,749,785,1227,1238,1251,1265,1309,
1326,1329,1767,1806,2008,2184],[1,2,3,9,12,13,16,17,20,39,47,56,58,62,63,67,
70,73,74,76,81,84,112,120,151,153,174,181,192,195,231,240,243,249,254,256,257,
259,263,296,328,411,526,543,544,550,572,584,600,606,639,646,692,701,715,743,
781,976,986,1029,1143,1146,1227,1251,1252,1279,1288,1307,1309,1435,1472,1596,
1669,1786,1803,1939,2008,2185],[1,2,3,5,7,9,10,13,14,15,20,21,26,27,28,37,39,
41,42,44,47,50,53,57,60,64,71,75,76,78,80,84,88,90,104,112,115,117,120,124,
127,128,130,133,142,148,150,151,152,153,155,165,167,174,175,184,197,221,226,
227,228,229,235,238,252,259,265,269,270,276,280,290,291,293,294,306,310,327,
328,329,336,340,343,359,365,378,382,386,387,391,395,410,411,417,433,434,439,
445,484,516,517,523,526,538,548,550,563,574,634,644,647,649,650,652,653,655,
659,667,676,680,698,721,722,751,752,762,767,772,774,776,793,812,834,853,860,
862,870,884,885,915,927,929,943,945,956,966,976,1010,1130,1139,1162,1203,1204,
1205,1218,1221,1223,1226,1230,1231,1234,1257,1261,1273,1280,1313,1390,1394,
1398,1401,1445,1448,1523,1537,1649,1658,1708,1710,1711,1712,1715,1716,1718,
1730,1738,1743,1746,1772,1852,2020,2021,2025,2028,2036,2046,2050,2186],[1,2,3,
5,6,8,12,13,14,15,20,21,22,23,27,29,31,32,34,35,36,40,56,58,59,69,71,72,75,76,
77,78,79,80,81,82,86,87,88,89,90,95,96,98,100,101,106,109,111,114,121,125,129,
132,135,139,141,145,147,149,161,168,214,218,225,230,231,232,237,255,257,258,
260,264,267,268,269,270,271,277,278,279,282,291,294,298,305,309,311,312,315,
318,330,334,339,346,347,348,354,357,358,360,366,367,375,381,393,401,417,423,
427,430,431,437,451,471,483,487,515,555,571,573,581,636,646,648,662,664,671,
672,691,706,712,713,723,726,745,755,760,763,770,775,776,792,805,822,871,874,
876,879,881,899,917,925,934,951,957,958,983,987,990,994,1015,1063,1134,1210,
1211,1213,1235,1249,1251,1266,1270,1282,1305,1311,1371,1406,1413,1424,1444,
1455,1491,1517,1525,1540,1704,1723,1779,1792,1856,2017,2051,2054,2187],[1,2,3,
5,8,9,12,13,14,15,20,21,25,27,29,30,31,32,33,34,35,39,41,42,44,47,56,58,62,63,
67,69,71,72,75,76,79,81,86,87,88,89,90,98,100,101,106,108,112,120,121,123,125,
129,132,139,143,146,147,148,150,151,152,153,156,161,167,174,184,190,194,197,
198,205,208,213,225,231,237,240,243,249,254,255,257,258,260,264,267,268,269,
297,298,306,309,310,312,315,316,318,327,328,334,347,356,358,359,361,374,375,
382,386,391,400,401,411,426,433,434,479,487,524,525,529,534,537,543,544,554,
555,579,582,587,591,595,611,615,636,646,648,657,658,664,671,675,691,692,706,
712,713,726,731,741,745,752,754,772,778,808,813,838,872,883,888,900,902,908,
910,914,922,924,931,939,946,963,970,994,1009,1029,1095,1140,1210,1235,1248,
1251,1252,1268,1276,1278,1279,1289,1297,1305,1311,1361,1373,1386,1389,1409,
1439,1478,1484,1495,1514,1704,1774,1786,1796,1904,2017,2033,2053,2188],[1,2,3,
5,8,9,11,13,16,17,21,24,25,27,29,30,32,33,35,39,41,42,44,45,47,51,54,55,65,68,
70,73,74,75,87,93,97,103,105,108,110,123,126,129,144,146,150,152,154,156,157,
161,162,163,166,169,174,176,177,179,181,182,184,185,188,190,192,195,197,198,
208,209,216,217,219,224,236,239,241,245,247,253,256,262,268,285,287,295,314,
323,324,380,394,400,402,406,412,414,420,422,424,433,435,436,438,441,456,463,
465,467,479,494,495,501,524,531,553,570,572,577,584,588,589,590,593,595,600,
601,602,605,606,609,610,611,612,613,616,618,619,638,640,669,677,679,681,682,
687,689,690,702,728,739,747,814,819,845,851,920,937,970,989,993,1008,1020,
1028,1034,1041,1045,1059,1062,1076,1090,1103,1114,1126,1128,1131,1143,1150,
1151,1159,1161,1172,1185,1188,1219,1220,1224,1228,1245,1258,1267,1281,1286,
1291,1296,1298,1299,1306,1316,1483,1556,1558,1578,1579,1593,1671,1678,1688,
1692,1727,1728,1729,1731,1732,1734,1757,1766,1769,1770,1788,1801,1964,2057,
2058,2059,2063,2064,2066,2077,2189],[1,2,3,9,11,13,14,15,16,17,24,39,47,51,54,
55,65,68,69,70,71,72,73,74,93,97,99,143,148,162,167,169,174,181,182,185,192,
195,224,236,239,241,245,247,253,255,256,261,262,286,302,317,361,382,525,553,
570,572,582,584,598,600,602,603,605,606,633,640,669,677,679,681,682,687,689,
690,700,703,810,855,922,923,964,1014,1100,1103,1143,1147,1155,1200,1228,1286,
1291,1292,1296,1298,1299,1306,1310,1536,1539,1550,1606,1645,1650,1758,1787,
1801,1971,2010,2072,2074,2190],[1,2,3,9,11,13,16,17,20,39,47,51,54,55,65,68,
70,73,74,76,81,84,112,120,151,153,174,181,192,195,224,236,239,241,245,247,253,
256,257,259,263,296,328,411,526,543,544,550,572,584,600,606,631,640,669,677,
679,681,682,687,689,690,701,715,743,781,976,986,1029,1143,1146,1202,1228,1284,
1286,1291,1296,1298,1299,1306,1309,1435,1472,1596,1669,1756,1799,1801,1939,
2012,2071,2080,2191],[1,2,3,9,12,13,14,15,16,17,24,39,47,56,58,62,63,67,69,70,
71,72,73,74,93,97,99,143,148,162,167,169,174,181,182,185,192,195,231,240,243,
249,254,255,256,261,262,286,302,317,361,382,525,553,570,572,582,584,598,600,
602,603,605,606,636,639,673,692,700,703,810,855,922,923,964,1014,1100,1103,
1143,1147,1155,1210,1227,1276,1278,1288,1293,1300,1304,1307,1310,1536,1539,
1550,1606,1645,1650,1796,1802,1803,1971,2011,2192],[1,2,3,5,8,9,12,13,16,17,
21,24,25,27,29,30,31,32,33,34,39,41,42,44,45,47,56,58,62,63,67,70,73,74,75,79,
87,93,98,99,100,103,105,108,110,123,126,139,144,146,150,152,154,156,157,162,
166,169,171,174,176,177,179,181,182,184,185,192,194,195,197,201,205,209,213,
216,217,219,225,231,237,240,243,249,254,256,258,260,261,285,295,304,314,368,
394,400,402,406,412,414,420,422,424,433,438,456,463,465,467,494,495,501,530,
531,534,540,553,570,572,578,584,586,587,588,589,590,591,593,594,598,599,600,
603,604,606,607,609,612,613,615,616,639,648,657,658,664,671,673,675,691,692,
739,758,771,816,838,845,851,868,920,937,989,1008,1020,1028,1052,1053,1057,
1062,1069,1073,1090,1098,1100,1113,1114,1128,1142,1143,1159,1161,1164,1166,
1186,1187,1227,1235,1248,1268,1288,1289,1293,1297,1300,1304,1305,1307,1318,
1518,1555,1556,1579,1667,1670,1682,1685,1687,1689,1744,1774,1802,1803,1969,
2061,2062,2070,2193],[1,2,3,4,8,12,13,18,19,20,24,29,32,34,56,58,66,76,81,83,
85,87,91,93,99,100,113,139,155,158,188,231,237,242,244,257,260,261,273,275,
288,301,303,378,379,380,399,428,464,542,646,671,673,691,693,699,788,804,842,
867,991,1021,1238,1251,1265,1293,1305,1317,1402,1474,1767,1811,2069,2194],[1,
2,3,9,10,13,14,15,16,17,24,39,47,50,53,60,64,69,70,71,72,73,74,93,97,99,143,
148,162,167,169,174,181,182,185,192,195,221,226,227,235,238,252,255,256,261,
262,286,302,317,361,382,525,553,570,572,582,584,598,600,602,603,605,606,632,
635,641,642,644,651,655,659,667,680,700,703,810,855,922,923,964,1014,1100,
1103,1143,1147,1155,1201,1214,1231,1253,1260,1272,1275,1277,1303,1310,1536,
1539,1550,1606,1645,1650,1740,1777,1797,1971,2009,2065,2078,2195],[1,2,3,4,5,
7,8,13,14,15,16,17,18,19,20,21,24,26,27,28,29,31,32,34,35,37,38,43,45,46,69,
70,71,72,73,74,75,76,79,81,83,84,85,86,87,88,89,90,91,92,93,94,97,98,99,100,
101,102,103,104,105,106,107,110,113,115,116,117,118,119,121,122,124,125,126,
127,128,129,130,131,132,133,134,136,137,138,139,140,142,144,147,154,155,157,
158,159,160,161,163,164,165,166,170,171,172,173,175,176,177,178,179,180,188,
201,206,210,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,272,
273,274,275,276,280,281,283,284,285,286,287,288,289,290,292,293,295,296,298,
299,300,301,302,303,304,307,308,309,312,313,314,315,317,318,321,322,323,324,
325,326,329,331,332,333,334,335,336,337,338,340,341,342,343,345,347,349,350,
351,352,353,355,358,362,363,364,365,368,369,371,372,373,375,376,377,378,379,
380,383,384,385,387,388,389,390,392,394,395,396,399,401,403,404,405,406,407,
409,410,412,413,415,416,418,420,421,428,429,435,436,439,441,442,443,444,446,
450,453,454,457,458,461,462,463,464,466,468,469,472,473,474,475,482,487,488,
490,491,496,497,498,500,502,503,504,506,507,513,514,518,519,520,523,530,532,
533,536,538,540,542,545,546,548,555,575,577,578,586,604,607,610,618,698,699,
700,701,702,703,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,724,726,728,729,732,733,734,735,736,738,739,740,742,744,745,746,747,748,
749,750,756,758,759,761,762,764,765,766,768,769,771,773,774,779,780,783,784,
785,786,787,788,791,798,799,801,803,804,809,810,814,815,816,817,819,821,825,
826,827,828,832,833,835,839,840,842,846,847,850,857,860,861,866,867,868,870,
873,875,877,878,882,884,889,890,891,892,893,894,895,897,901,932,935,936,938,
942,944,947,952,953,954,955,967,971,972,974,977,979,980,984,988,991,992,993,
994,995,996,999,1000,1003,1005,1007,1010,1021,1022,1025,1026,1030,1031,1032,
1033,1034,1036,1037,1038,1046,1047,1048,1060,1061,1066,1069,1070,1071,1072,
1074,1081,1089,1096,1097,1099,1106,1110,1119,1133,1138,1139,1148,1163,1168,
1169,1173,1175,1181,1309,1310,1311,1312,1315,1316,1317,1318,1319,1320,1321,
1322,1323,1324,1325,1326,1327,1328,1329,1331,1332,1333,1334,1336,1337,1338,
1340,1344,1348,1354,1358,1363,1365,1367,1369,1375,1376,1377,1383,1384,1387,
1395,1397,1398,1402,1403,1404,1408,1417,1418,1419,1420,1421,1422,1427,1429,
1431,1432,1433,1434,1437,1438,1442,1443,1446,1454,1462,1466,1467,1469,1471,
1473,1474,1476,1488,1489,1490,1492,1493,1497,1499,1501,1502,1505,1512,1529,
1534,1545,1553,1567,1568,1573,1583,1588,1592,1594,1602,1612,1617,1629,1632,
1633,1641,1644,1648,1654,1655,1656,1675,1684,1805,1806,1807,1808,1810,1811,
1815,1816,1817,1819,1821,1822,1823,1824,1829,1830,1834,1837,1838,1839,1840,
1842,1843,1855,1857,1864,1872,1876,1884,1886,1887,1892,1907,1913,1916,1929,
1931,1933,1934,1942,1945,1954,1956,1976,1984,2085,2092,2096,2097,2098,2100,
2106,2126,2127,2196],[1,2,3,5,6,8,13,14,15,16,17,20,21,22,23,24,27,29,31,32,
34,35,36,40,45,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,88,89,90,93,
95,96,97,98,99,100,101,103,105,106,109,110,111,114,115,121,125,126,129,132,
135,139,141,144,145,147,149,154,157,158,161,163,166,168,171,176,177,179,188,
201,214,218,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,276,277,278,279,280,282,285,286,287,288,291,294,295,296,298,299,301,302,
304,305,309,311,312,314,315,317,318,319,320,322,323,324,325,330,331,334,339,
346,347,348,353,354,357,358,360,366,367,368,375,379,380,381,393,394,399,401,
405,406,412,417,420,423,427,428,430,431,435,436,437,441,448,450,451,455,458,
463,471,483,487,515,530,540,555,571,573,577,578,581,586,604,607,610,618,698,
700,701,702,703,704,705,706,708,709,711,712,713,715,716,717,718,720,721,722,
723,724,725,726,727,728,733,735,738,739,742,744,745,746,747,750,755,758,759,
760,763,765,766,769,770,771,775,776,782,784,787,789,791,792,798,799,802,804,
805,809,810,814,816,817,818,819,821,822,825,826,827,832,835,836,840,847,852,
854,856,868,871,873,874,875,876,879,880,881,899,917,925,930,934,951,953,955,
957,958,968,974,977,983,987,990,991,993,994,995,996,999,1015,1021,1022,1026,
1034,1039,1063,1069,1134,1156,1309,1310,1311,1312,1313,1314,1315,1316,1317,
1318,1320,1321,1323,1324,1325,1333,1334,1339,1341,1345,1346,1347,1349,1357,
1358,1360,1365,1369,1371,1374,1375,1380,1384,1396,1399,1406,1411,1413,1415,
1418,1419,1422,1424,1433,1434,1437,1444,1447,1452,1453,1454,1455,1459,1460,
1464,1466,1469,1473,1489,1491,1497,1502,1504,1517,1525,1528,1530,1534,1540,
1552,1567,1583,1594,1654,1804,1808,1809,1810,1814,1823,1824,1826,1827,1828,
1831,1833,1836,1848,1856,1857,1862,1909,1912,1915,1924,1933,1959,1981,2085,
2086,2087,2089,2093,2110,2116,2197],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,
20,21,22,23,24,26,27,28,29,31,32,35,36,38,39,40,41,42,43,44,45,47,48,49,71,73,
75,76,77,79,81,82,83,84,85,87,88,90,91,92,93,94,95,96,97,98,99,101,102,103,
104,106,107,109,111,112,113,114,115,116,118,119,120,121,122,125,126,127,128,
129,131,132,134,135,136,137,138,140,141,144,145,147,148,149,150,151,152,153,
154,155,157,158,161,162,163,164,165,166,167,168,169,170,171,172,174,176,177,
179,181,182,184,185,188,189,192,193,196,197,199,200,201,202,203,204,211,214,
215,218,257,258,259,261,262,263,264,265,266,268,269,273,275,276,279,280,284,
286,287,288,289,292,295,296,299,300,301,302,303,304,305,306,307,308,309,310,
311,312,313,314,315,317,319,320,323,324,327,328,329,330,332,333,334,335,337,
339,341,344,345,346,347,350,352,354,357,358,359,362,363,366,367,368,369,370,
371,375,376,377,378,379,380,381,382,385,386,388,390,391,396,397,398,399,402,
403,404,405,406,408,411,415,418,419,420,421,422,423,425,427,428,429,431,432,
433,434,437,438,439,440,445,447,448,449,450,451,452,455,457,458,464,465,467,
468,469,471,477,480,483,489,491,492,493,497,499,500,501,508,509,510,511,515,
518,520,521,522,526,528,529,530,531,535,536,539,540,542,543,544,546,547,548,
550,551,552,553,556,557,558,559,561,562,563,564,567,570,571,572,573,575,576,
578,579,580,581,586,592,594,596,597,598,599,601,602,603,605,608,610,614,617,
618,619,698,699,702,704,707,709,710,711,712,713,714,715,716,717,718,725,727,
732,734,735,736,738,743,744,746,749,750,752,755,756,757,758,759,761,763,765,
769,771,772,773,775,780,781,782,783,784,785,788,789,790,791,796,800,801,802,
803,804,807,809,810,811,818,820,821,824,825,826,827,829,830,832,835,837,840,
842,844,845,846,847,855,867,873,875,876,879,880,881,884,885,886,887,890,892,
893,897,899,901,902,905,909,919,920,921,926,928,930,931,934,940,941,944,946,
953,954,955,956,959,960,961,962,965,966,968,971,974,976,977,979,981,982,983,
984,985,987,990,992,993,996,1001,1004,1006,1007,1011,1013,1014,1016,1017,1019,
1021,1023,1024,1027,1029,1030,1032,1035,1040,1042,1044,1055,1058,1063,1064,
1067,1068,1075,1076,1082,1084,1085,1086,1087,1088,1089,1095,1096,1098,1100,
1101,1103,1107,1108,1109,1111,1112,1117,1120,1123,1124,1126,1127,1129,1131,
1134,1135,1137,1142,1154,1156,1162,1163,1164,1165,1171,1173,1176,1178,1182,
1183,1184,1185,1186,1314,1315,1319,1320,1321,1322,1328,1329,1330,1331,1332,
1333,1335,1337,1339,1340,1341,1351,1354,1355,1357,1360,1361,1367,1368,1372,
1374,1375,1377,1380,1382,1384,1388,1393,1397,1401,1402,1412,1418,1419,1420,
1424,1426,1427,1431,1432,1435,1443,1449,1450,1452,1453,1455,1456,1458,1460,
1461,1464,1467,1469,1473,1476,1481,1483,1485,1498,1502,1504,1510,1518,1522,
1528,1529,1530,1532,1539,1544,1546,1552,1557,1561,1567,1585,1589,1590,1591,
1595,1600,1601,1608,1611,1612,1614,1615,1616,1617,1623,1628,1630,1635,1636,
1637,1638,1640,1642,1643,1644,1646,1647,1654,1661,1663,1664,1673,1674,1679,
1680,1807,1815,1818,1819,1823,1827,1829,1831,1833,1837,1840,1841,1843,1854,
1862,1866,1871,1876,1880,1893,1895,1897,1898,1899,1906,1908,1909,1915,1918,
1920,1921,1922,1942,1944,1947,1950,1952,1953,1956,1977,1978,1981,1983,2093,
2094,2101,2103,2106,2113,2119,2125,2137,2140,2143,2198],[1,2,3,4,5,6,7,8,9,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,98,100,101,102,103,104,105,106,107,108,109,110,
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,
149,150,151,152,153,154,155,156,157,158,159,160,161,163,164,165,166,167,168,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,255,257,258,259,260,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,325,
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,
383,384,385,386,387,388,389,390,391,392,393,395,396,397,398,399,400,401,403,
404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,423,424,
425,426,427,428,429,430,431,432,433,434,437,438,439,440,441,442,443,444,445,
446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,464,465,
466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,493,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,
525,526,527,528,529,532,533,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,548,549,550,551,552,554,555,556,557,558,559,560,561,562,563,564,565,
566,567,568,569,570,571,572,573,574,575,576,577,579,580,581,582,583,585,586,
587,589,590,591,592,595,596,597,604,607,608,609,610,611,612,613,614,615,616,
617,618,620,621,622,623,698,699,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,729,730,731,732,733,
734,736,737,738,740,741,742,743,745,746,747,748,749,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,772,773,774,775,776,
777,778,779,780,781,782,783,784,785,786,788,789,790,791,792,793,794,795,796,
797,798,799,800,801,802,803,804,805,806,807,808,809,811,812,813,815,817,818,
820,821,822,823,824,825,828,829,830,831,832,833,834,836,837,838,839,840,841,
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,
918,919,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,938,
939,940,941,942,943,944,945,946,947,948,949,950,951,952,954,955,956,957,958,
959,960,961,962,963,965,966,967,968,969,970,971,972,973,974,975,976,977,978,
979,980,981,982,983,984,985,987,988,990,991,992,993,994,995,997,998,999,1000,
1001,1002,1003,1004,1005,1006,1007,1009,1010,1012,1013,1015,1016,1017,1018,
1019,1023,1024,1025,1026,1027,1029,1030,1031,1032,1033,1035,1036,1037,1038,
1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1054,1055,
1056,1058,1060,1061,1062,1063,1064,1065,1066,1067,1068,1070,1071,1072,1073,
1074,1075,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1091,1092,1093,1094,1095,1096,1097,1099,1101,1102,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,
1125,1127,1129,1130,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1144,
1145,1148,1149,1152,1153,1154,1155,1156,1157,1158,1160,1162,1163,1165,1167,
1168,1169,1170,1171,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,
1184,1187,1188,1311,1312,1313,1314,1320,1321,1322,1323,1324,1327,1328,1329,
1330,1331,1334,1335,1336,1337,1339,1340,1341,1342,1343,1344,1345,1346,1347,
1348,1349,1350,1351,1352,1353,1354,1355,1356,1358,1359,1360,1361,1362,1363,
1364,1366,1367,1368,1370,1371,1373,1374,1376,1377,1378,1379,1381,1382,1383,
1385,1386,1387,1388,1389,1390,1392,1393,1394,1395,1396,1398,1399,1400,1401,
1402,1403,1404,1405,1406,1407,1408,1409,1412,1413,1414,1416,1417,1418,1420,
1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1433,1435,1436,1438,
1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1451,1452,1453,1454,1455,
1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1468,1470,1475,1477,1478,
1479,1480,1481,1484,1485,1486,1487,1488,1490,1491,1492,1493,1494,1495,1496,
1498,1499,1500,1501,1503,1504,1505,1506,1507,1508,1509,1511,1512,1513,1514,
1515,1516,1517,1520,1521,1522,1523,1525,1526,1527,1528,1529,1531,1532,1533,
1534,1535,1536,1537,1538,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,
1551,1553,1554,1557,1559,1560,1561,1562,1563,1565,1566,1568,1569,1570,1571,
1572,1573,1574,1575,1576,1577,1580,1581,1582,1583,1584,1585,1586,1587,1588,
1591,1592,1593,1598,1599,1600,1601,1602,1603,1604,1605,1607,1608,1609,1610,
1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,
1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,
1641,1642,1644,1646,1647,1648,1649,1652,1653,1654,1655,1656,1657,1658,1659,
1660,1661,1663,1664,1665,1668,1670,1672,1673,1674,1675,1676,1677,1679,1680,
1681,1683,1684,1686,1690,1691,1804,1805,1812,1813,1814,1815,1816,1817,1818,
1820,1822,1824,1827,1828,1830,1831,1832,1835,1836,1844,1846,1847,1848,1849,
1850,1851,1852,1853,1855,1856,1858,1859,1860,1864,1865,1866,1867,1868,1870,
1872,1873,1874,1875,1876,1877,1878,1879,1881,1882,1883,1884,1885,1886,1887,
1891,1894,1895,1896,1900,1901,1903,1904,1905,1906,1908,1910,1911,1912,1914,
1917,1918,1919,1920,1921,1922,1923,1925,1929,1932,1935,1936,1937,1938,1940,
1943,1944,1947,1948,1951,1955,1957,1958,1959,1960,1961,1963,1965,1967,1968,
1970,1972,1974,1975,1976,1977,1982,1983,1984,1985,1986,1988,1990,1991,1992,
1993,2089,2096,2099,2101,2102,2104,2105,2120,2122,2124,2128,2131,2132,2133,
2134,2136,2139,2141,2144,2199],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,25,27,29,
30,31,32,33,34,35,39,40,41,42,44,45,47,69,71,72,73,75,76,79,81,84,86,87,88,89,
90,93,98,100,101,103,105,106,108,110,112,115,118,120,121,123,125,126,129,132,
138,139,141,143,144,145,146,147,148,150,151,152,153,154,155,156,157,158,161,
163,166,167,171,174,176,177,179,181,182,184,185,188,190,192,194,197,198,201,
205,208,209,213,216,217,219,255,257,258,259,260,263,264,265,266,267,268,269,
276,280,285,287,288,289,295,296,297,298,299,301,302,304,306,307,309,310,312,
314,315,316,317,318,322,325,327,328,330,331,334,339,341,347,353,356,357,358,
359,361,365,366,367,368,374,375,378,379,380,382,386,391,395,399,400,401,403,
405,406,411,414,420,424,426,428,431,433,434,438,441,442,445,450,456,458,465,
467,472,479,487,497,501,524,525,526,529,534,537,540,543,544,550,554,555,563,
570,572,575,577,579,582,586,587,589,590,591,595,604,607,609,610,611,612,613,
615,616,618,698,703,705,706,708,709,710,711,712,713,714,715,716,717,718,720,
724,726,731,733,734,738,741,742,743,745,746,747,748,752,754,755,758,759,765,
766,769,772,773,774,775,778,781,782,784,788,790,791,798,799,800,802,804,808,
809,813,817,821,825,832,838,840,845,847,849,851,855,858,859,865,868,871,872,
873,875,883,885,888,890,891,896,900,902,908,910,914,918,922,923,924,930,931,
939,946,951,955,956,963,966,967,970,971,974,976,977,991,993,994,995,999,1003,
1009,1026,1029,1031,1039,1041,1045,1048,1062,1073,1095,1105,1113,1140,1155,
1162,1187,1188,1311,1312,1319,1320,1321,1323,1324,1326,1330,1331,1332,1334,
1335,1336,1338,1339,1341,1342,1343,1351,1357,1358,1361,1362,1370,1371,1373,
1380,1381,1382,1386,1389,1396,1397,1401,1403,1404,1405,1409,1411,1415,1418,
1422,1426,1431,1432,1433,1435,1439,1441,1446,1454,1467,1471,1474,1476,1478,
1484,1495,1514,1530,1534,1536,1538,1552,1575,1581,1583,1587,1593,1607,1633,
1654,1670,1812,1813,1816,1818,1820,1824,1826,1828,1832,1833,1834,1835,1837,
1842,1843,1853,1865,1898,1899,1900,1902,1904,1909,1913,1930,1931,1945,2099,
2100,2111,2112,2113,2116,2118,2200],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,
24,26,27,28,29,31,32,34,35,37,38,40,43,45,46,69,71,72,73,75,76,79,81,83,84,85,
86,87,88,89,90,91,92,93,94,98,100,101,102,103,104,105,106,107,110,113,115,116,
117,118,119,121,122,124,125,126,127,128,129,130,131,132,133,134,136,137,138,
139,140,141,142,144,145,147,154,155,157,158,159,160,161,162,163,164,165,166,
169,170,171,172,173,175,176,177,178,179,180,188,195,201,206,210,255,257,258,
259,260,263,264,265,266,267,268,269,272,273,274,275,276,280,281,283,284,285,
287,288,289,290,292,293,295,296,298,299,300,301,302,303,304,307,308,309,312,
313,314,315,317,318,321,322,325,326,329,330,331,332,333,334,335,336,337,338,
339,340,341,342,343,345,347,349,350,351,352,353,355,357,358,362,363,364,365,
366,367,368,369,371,372,373,375,376,377,378,379,380,383,384,385,387,388,389,
390,392,395,396,399,401,402,403,404,405,406,407,409,410,413,415,416,418,420,
421,422,428,429,431,439,441,442,443,444,446,450,453,454,457,458,461,462,464,
466,468,469,472,473,474,475,482,487,488,490,491,494,495,496,497,498,500,502,
503,504,506,507,513,514,518,519,520,523,531,532,533,536,538,540,542,545,546,
548,553,555,575,577,584,586,604,607,610,618,698,699,703,705,706,707,708,709,
710,711,712,713,714,715,716,717,718,719,720,724,726,729,732,733,734,736,738,
740,742,745,746,747,748,749,755,756,758,759,761,762,764,765,766,768,769,773,
774,775,779,780,782,783,784,785,786,788,791,798,799,801,802,803,804,809,815,
817,821,825,828,832,833,839,840,842,846,847,850,857,860,861,866,867,868,870,
871,873,875,877,878,882,884,889,890,891,892,893,894,895,897,901,920,930,932,
935,936,938,942,944,947,951,952,954,955,964,967,971,972,974,977,979,980,984,
986,988,989,991,992,993,994,995,999,1000,1003,1005,1007,1010,1011,1014,1025,
1026,1030,1031,1032,1033,1036,1037,1038,1039,1046,1047,1048,1052,1053,1060,
1061,1066,1070,1071,1072,1074,1081,1089,1096,1097,1099,1106,1110,1119,1133,
1138,1139,1148,1150,1151,1163,1168,1169,1173,1175,1181,1311,1312,1320,1321,
1322,1323,1324,1327,1328,1329,1331,1334,1336,1337,1339,1340,1341,1344,1348,
1354,1357,1358,1363,1367,1371,1372,1376,1377,1380,1383,1387,1391,1395,1396,
1398,1402,1403,1404,1408,1410,1411,1415,1417,1418,1420,1421,1422,1427,1429,
1432,1433,1438,1442,1443,1446,1449,1450,1454,1462,1472,1488,1490,1492,1493,
1499,1501,1505,1512,1529,1530,1534,1545,1552,1553,1558,1568,1573,1583,1588,
1592,1602,1612,1617,1629,1632,1633,1641,1644,1645,1648,1654,1655,1656,1662,
1667,1675,1684,1805,1815,1816,1817,1822,1824,1825,1826,1828,1830,1833,1841,
1845,1855,1864,1869,1871,1872,1876,1884,1886,1887,1889,1897,1909,1929,1946,
1976,1979,1980,1984,2088,2090,2091,2096,2103,2115,2116,2201],[1,2,3,5,7,8,9,
13,14,15,16,17,20,21,24,26,27,28,29,31,32,35,37,39,40,41,42,44,45,46,47,71,73,
75,76,78,79,80,81,84,87,88,90,92,93,94,97,98,99,101,103,104,106,112,115,117,
118,120,121,124,125,126,127,128,129,130,131,132,133,141,142,144,145,147,148,
150,151,152,153,154,155,157,158,159,160,161,162,163,165,166,167,169,171,173,
174,175,176,177,178,179,181,182,184,185,188,192,197,201,207,212,257,258,259,
261,262,263,264,265,266,268,269,270,276,280,286,287,288,289,290,291,293,294,
295,296,299,300,301,302,304,306,309,310,312,314,315,317,323,324,327,328,329,
330,333,334,336,339,340,342,343,347,349,352,357,358,359,365,366,367,368,371,
375,378,379,380,382,386,387,390,391,395,399,402,405,406,410,411,413,416,417,
420,422,428,431,433,434,438,439,442,444,445,446,450,458,461,462,465,467,472,
474,475,482,484,501,504,506,513,516,517,519,523,526,529,530,531,533,538,540,
543,544,545,548,549,550,553,563,565,569,570,572,574,578,579,583,586,594,598,
599,601,602,603,605,610,618,619,698,702,707,709,710,711,712,713,715,716,717,
718,721,722,735,738,743,744,746,748,750,751,752,755,758,759,762,765,767,769,
771,772,774,775,776,781,782,783,784,786,788,790,791,793,800,802,803,804,809,
810,812,821,822,825,826,827,828,832,834,835,840,845,847,848,853,855,860,862,
870,873,874,875,884,885,889,891,902,903,913,915,917,920,927,929,930,931,942,
943,945,946,947,952,953,955,956,957,966,973,974,976,977,980,993,996,1000,1005,
1010,1011,1014,1021,1029,1031,1032,1033,1038,1046,1049,1076,1079,1081,1095,
1098,1100,1103,1110,1126,1130,1131,1139,1142,1162,1164,1168,1170,1185,1186,
1313,1315,1320,1321,1326,1327,1328,1330,1332,1333,1335,1336,1338,1339,1341,
1351,1361,1366,1372,1375,1376,1382,1383,1384,1390,1394,1395,1397,1398,1399,
1401,1406,1408,1411,1413,1414,1415,1418,1419,1420,1426,1428,1429,1435,1438,
1440,1445,1446,1447,1448,1449,1450,1469,1471,1473,1474,1483,1501,1502,1503,
1510,1512,1513,1518,1523,1530,1537,1539,1543,1552,1567,1589,1590,1592,1595,
1639,1643,1649,1654,1656,1658,1814,1817,1818,1823,1826,1834,1836,1840,1841,
1842,1844,1846,1852,1854,1875,1896,1902,1907,1909,1916,1929,1930,1943,1950,
1952,1953,1954,1978,1980,2090,2094,2098,2104,2110,2111,2117,2202],[1,2,3,5,6,
7,8,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,36,37,46,70,71,73,
74,75,76,77,81,82,84,87,88,90,92,93,94,95,96,101,103,104,105,106,108,109,110,
111,114,115,117,123,124,125,126,127,128,130,131,133,135,138,141,142,143,144,
146,147,149,155,156,158,159,160,162,165,166,168,169,173,175,176,177,178,183,
191,256,257,259,263,264,265,266,269,276,279,280,285,286,288,290,293,296,297,
300,301,302,305,307,311,312,314,315,316,319,320,322,325,329,333,334,336,339,
340,342,343,346,349,354,356,357,358,361,363,365,366,371,374,378,379,381,387,
394,395,399,400,402,405,406,410,412,413,414,416,418,420,422,423,424,426,427,
437,439,446,448,455,456,459,460,461,462,463,468,474,475,478,482,497,504,506,
513,515,519,523,527,531,536,538,545,548,553,560,566,568,571,575,581,585,698,
700,701,704,705,707,709,711,712,714,715,717,718,725,727,731,732,733,737,739,
741,742,744,746,748,762,763,766,774,775,780,782,786,787,788,789,794,797,802,
804,806,818,821,826,828,841,851,860,863,865,870,872,875,879,880,884,889,890,
896,898,907,908,911,912,920,923,933,934,937,942,947,949,952,968,971,975,977,
978,980,987,990,992,996,999,1002,1005,1008,1010,1011,1012,1014,1020,1028,1030,
1032,1037,1038,1061,1070,1077,1093,1106,1132,1134,1139,1158,1309,1314,1319,
1321,1322,1325,1327,1332,1336,1338,1341,1342,1343,1350,1352,1360,1365,1367,
1370,1372,1374,1376,1395,1398,1400,1408,1411,1415,1419,1420,1425,1429,1431,
1432,1433,1438,1439,1449,1450,1452,1453,1455,1463,1464,1465,1466,1467,1468,
1470,1474,1477,1479,1490,1493,1496,1564,1572,1573,1579,1610,1626,1641,1650,
1651,1652,1653,1808,1809,1812,1817,1826,1827,1837,1838,1841,1858,1861,1867,
1880,1886,1890,1892,1893,1894,1910,1924,1945,1948,1951,1954,1956,1980,2087,
2090,2097,2105,2114,2118,2119,2203],[1,2,3,5,6,7,8,13,14,15,16,17,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,35,36,37,40,45,46,71,73,75,76,77,79,81,82,84,87,
88,90,92,93,94,95,96,97,98,99,101,103,104,106,108,109,111,114,115,117,118,121,
123,124,125,126,127,128,129,130,131,132,133,135,141,142,143,144,145,146,147,
149,154,155,156,157,158,159,160,161,163,165,166,168,171,173,175,176,177,178,
179,183,188,191,195,201,214,218,257,258,259,261,262,263,264,265,266,268,269,
276,279,280,286,287,288,289,290,293,295,296,297,299,300,301,302,304,305,309,
311,312,314,315,316,317,319,320,323,324,329,330,333,334,336,339,340,342,343,
346,347,349,352,354,356,357,358,361,365,366,367,368,371,374,375,378,379,380,
381,387,390,395,399,400,405,406,410,413,414,416,420,423,424,426,427,428,431,
437,439,442,444,446,448,450,451,455,456,458,459,460,461,462,471,472,474,475,
478,482,483,494,495,504,506,513,515,519,523,527,530,533,538,540,545,548,560,
566,568,571,573,578,581,584,585,586,610,618,698,702,704,707,709,710,711,712,
713,715,716,717,718,725,727,731,735,737,738,741,744,746,748,750,755,758,759,
762,763,765,769,771,774,775,782,783,784,786,788,789,791,794,797,802,803,804,
806,809,810,818,821,825,826,827,828,832,835,840,841,847,851,860,863,865,870,
872,873,875,876,879,880,881,884,889,891,896,898,899,907,908,911,912,923,930,
933,934,942,947,949,952,953,955,964,968,974,975,977,978,980,983,986,987,989,
990,993,996,1000,1002,1005,1010,1012,1021,1031,1032,1033,1038,1046,1057,1059,
1063,1077,1081,1093,1110,1132,1134,1139,1156,1158,1166,1168,1172,1314,1315,
1320,1321,1326,1327,1328,1332,1333,1336,1338,1339,1341,1342,1343,1350,1352,
1357,1360,1370,1374,1375,1376,1380,1383,1384,1391,1395,1397,1398,1400,1408,
1410,1418,1419,1420,1424,1425,1429,1438,1439,1446,1452,1453,1455,1460,1463,
1464,1465,1468,1469,1470,1471,1472,1473,1474,1477,1479,1496,1501,1502,1504,
1512,1519,1528,1530,1552,1555,1567,1572,1578,1592,1606,1610,1626,1652,1653,
1654,1656,1812,1817,1823,1825,1827,1831,1833,1834,1840,1842,1858,1862,1863,
1867,1894,1907,1909,1910,1915,1916,1926,1927,1929,1948,1949,1951,1954,1979,
1981,2088,2093,2095,2098,2105,2109,2112,2204],[1,2,3,5,6,8,13,14,15,16,17,20,
21,22,23,24,27,29,31,32,34,35,36,40,45,69,71,72,73,75,76,77,78,79,80,81,82,84,
86,87,88,89,90,93,95,96,98,100,101,103,105,106,109,110,111,114,115,118,121,
125,126,129,132,135,138,139,141,144,145,147,149,154,155,157,158,161,162,163,
166,168,169,171,176,177,179,188,195,201,214,218,255,257,258,259,260,263,264,
265,266,267,268,269,270,271,276,277,278,279,280,282,285,287,288,289,291,294,
295,296,298,299,301,302,304,305,307,309,311,312,314,315,317,318,319,320,322,
325,330,331,334,339,341,346,347,348,353,354,357,358,360,365,366,367,368,375,
378,379,380,381,393,395,399,401,402,403,405,406,417,420,422,423,427,428,430,
431,437,441,442,448,450,451,455,458,471,472,483,487,494,495,497,515,531,540,
553,555,571,573,575,577,581,584,586,604,607,610,618,698,703,704,705,706,708,
709,710,711,712,713,714,715,716,717,718,720,721,722,723,724,725,726,727,733,
734,738,742,745,746,747,748,755,758,759,760,763,765,766,769,770,773,774,775,
776,782,784,788,789,791,792,798,799,802,804,805,809,817,818,821,822,825,832,
836,840,847,852,854,856,868,871,873,874,875,876,879,880,881,890,891,899,917,
920,925,930,934,951,955,957,958,964,967,968,971,974,977,983,986,987,989,990,
991,993,994,995,999,1003,1011,1014,1015,1026,1031,1039,1048,1052,1053,1063,
1134,1150,1151,1156,1311,1312,1313,1314,1319,1320,1321,1323,1324,1326,1331,
1332,1334,1336,1338,1339,1341,1345,1346,1347,1349,1358,1360,1371,1372,1374,
1391,1396,1397,1399,1403,1404,1406,1410,1413,1418,1422,1424,1431,1432,1433,
1444,1446,1447,1449,1450,1452,1453,1454,1455,1459,1460,1464,1467,1471,1472,
1474,1476,1491,1504,1517,1525,1528,1534,1540,1558,1583,1633,1645,1654,1662,
1667,1804,1814,1816,1824,1825,1827,1828,1831,1834,1836,1837,1841,1842,1843,
1845,1848,1856,1880,1889,1893,1912,1913,1926,1927,1931,1945,1959,2089,2091,
2100,2108,2109,2117,2119,2205],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,
25,26,27,28,29,30,31,32,33,35,38,40,43,45,71,73,75,76,78,79,80,81,83,84,85,87,
88,90,91,92,93,94,97,98,99,101,102,103,104,106,107,108,113,115,116,118,119,
121,122,123,125,126,127,128,129,131,132,134,136,137,138,140,141,143,144,145,
146,147,154,155,156,157,158,161,163,164,165,166,170,171,172,176,177,179,186,
187,188,195,201,257,258,259,261,262,263,264,265,266,268,269,270,273,275,276,
280,284,286,287,288,289,291,292,294,295,296,297,299,300,301,302,303,304,307,
308,309,312,313,314,315,316,317,323,324,329,330,332,333,334,335,337,339,341,
345,347,350,352,356,357,358,361,362,363,366,367,368,369,371,374,375,376,377,
378,379,380,385,388,390,396,399,400,403,404,405,406,414,415,417,418,420,421,
424,426,428,429,431,439,450,456,457,458,464,468,469,470,476,481,485,486,491,
494,495,497,500,505,512,518,520,530,536,540,541,542,546,548,575,578,584,586,
610,618,698,699,702,707,709,710,711,712,713,714,715,716,717,718,721,722,730,
731,732,734,735,736,738,741,744,746,749,750,753,755,756,758,759,761,765,769,
771,773,775,776,777,780,782,783,784,785,788,791,795,801,802,803,804,809,810,
821,822,823,825,826,827,831,832,835,840,842,843,846,847,851,864,865,867,869,
872,873,874,875,884,890,892,893,896,897,901,904,906,908,916,917,923,930,944,
948,950,953,954,955,957,964,969,971,974,977,979,984,986,989,992,993,996,997,
998,1007,1018,1021,1030,1032,1054,1057,1059,1089,1096,1118,1163,1166,1172,
1173,1313,1315,1319,1320,1321,1322,1328,1329,1331,1332,1333,1337,1339,1340,
1341,1342,1343,1354,1367,1370,1375,1377,1378,1379,1384,1391,1392,1397,1399,
1402,1406,1407,1410,1411,1413,1415,1416,1418,1419,1420,1423,1427,1430,1431,
1432,1439,1443,1447,1457,1467,1469,1472,1473,1476,1502,1519,1529,1530,1531,
1541,1552,1555,1562,1566,1567,1574,1577,1578,1584,1606,1612,1617,1618,1644,
1654,1807,1812,1814,1815,1819,1823,1825,1826,1829,1836,1837,1840,1843,1863,
1869,1873,1874,1876,1909,1911,1938,1942,1946,1949,1955,1956,1960,2095,2102,
2106,2108,2110,2115,2118,2206],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,
22,23,24,26,27,28,29,32,36,38,39,41,42,43,44,47,48,49,70,71,73,74,75,76,77,81,
82,83,84,85,87,88,90,91,92,93,94,95,96,101,102,103,104,105,106,107,109,110,
111,112,113,114,115,116,118,119,120,122,125,126,127,128,131,134,135,136,137,
138,140,141,144,147,148,149,150,151,152,153,155,158,164,165,166,167,168,170,
172,174,176,177,181,182,184,185,189,192,193,195,196,197,199,200,202,203,204,
211,215,256,257,259,263,264,265,266,269,273,275,276,279,280,284,285,286,288,
289,292,296,300,301,302,303,305,306,307,308,310,311,312,313,314,315,319,320,
322,325,327,328,329,332,333,334,335,337,339,341,344,345,346,350,352,354,357,
358,359,362,363,366,369,370,371,376,377,378,379,381,382,385,386,388,390,391,
394,396,397,398,399,403,404,405,406,408,411,412,415,418,419,420,421,423,425,
427,429,432,433,434,437,438,440,442,444,445,447,448,449,452,455,457,463,464,
465,467,469,472,477,480,489,491,492,493,494,495,499,500,501,508,509,510,511,
515,518,520,521,522,523,526,528,529,533,535,538,539,542,543,544,546,547,550,
551,552,556,557,558,559,561,562,563,564,567,570,571,572,576,579,580,581,584,
588,592,593,596,597,600,606,608,614,617,698,699,700,701,704,705,707,709,710,
711,712,714,715,717,718,725,727,732,733,734,736,739,742,743,744,746,749,752,
756,757,761,763,766,772,773,775,780,781,782,783,785,787,788,789,790,796,800,
801,802,803,804,807,811,818,820,821,824,826,829,830,837,842,844,845,846,855,
867,875,879,880,885,886,887,889,891,892,893,897,901,902,905,909,919,921,926,
928,931,934,940,941,944,946,954,956,959,960,961,962,964,965,966,968,976,977,
979,981,982,984,985,986,987,989,990,996,999,1000,1001,1004,1006,1007,1010,
1013,1016,1017,1019,1023,1024,1027,1029,1031,1033,1035,1040,1042,1044,1047,
1055,1058,1064,1067,1068,1074,1075,1082,1084,1085,1086,1087,1088,1090,1095,
1101,1107,1108,1109,1111,1112,1114,1117,1120,1123,1124,1127,1128,1129,1133,
1134,1135,1137,1143,1146,1147,1154,1159,1161,1162,1165,1171,1175,1176,1178,
1182,1183,1184,1309,1314,1321,1322,1325,1326,1328,1329,1330,1331,1335,1337,
1338,1340,1341,1351,1354,1355,1360,1361,1365,1368,1374,1377,1382,1383,1388,
1391,1393,1397,1401,1402,1410,1411,1412,1415,1419,1426,1427,1431,1433,1435,
1438,1443,1446,1452,1453,1455,1456,1458,1461,1464,1466,1471,1472,1476,1481,
1482,1485,1498,1522,1524,1532,1544,1545,1546,1550,1553,1556,1557,1561,1585,
1591,1596,1597,1600,1601,1608,1611,1614,1615,1616,1623,1628,1630,1635,1636,
1637,1638,1640,1642,1646,1647,1648,1655,1661,1663,1664,1666,1669,1673,1674,
1679,1680,1806,1808,1809,1815,1818,1821,1825,1826,1827,1834,1838,1839,1866,
1869,1887,1888,1895,1902,1906,1908,1916,1918,1920,1921,1922,1924,1926,1927,
1928,1930,1931,1939,1941,1942,1944,1946,1947,1977,1983,1989,2087,2092,2101,
2107,2109,2111,2115,2121,2123,2129,2135,2207],[1,2,3,5,7,8,9,13,14,15,16,17,
20,21,24,26,27,28,29,32,37,39,40,41,42,44,46,47,70,71,73,74,75,76,78,80,81,84,
87,88,90,92,93,94,101,103,104,105,106,110,112,115,117,120,124,125,126,127,128,
130,131,133,138,142,144,145,147,148,150,151,152,153,155,158,159,160,165,166,
167,173,174,175,176,177,178,181,182,184,185,192,195,197,207,212,256,257,259,
263,264,265,266,269,270,276,280,285,286,288,290,291,293,294,296,300,301,302,
306,307,310,312,314,315,322,325,327,328,329,330,333,334,336,340,342,343,349,
358,359,363,365,367,371,378,379,382,386,387,391,394,395,399,405,406,410,411,
412,413,416,417,418,420,431,433,434,438,439,445,446,461,462,463,465,467,468,
474,475,482,484,494,495,497,501,504,506,513,516,517,519,523,526,529,536,538,
543,544,545,548,549,550,563,565,569,570,572,574,575,579,583,584,588,593,600,
606,698,700,701,705,707,709,711,712,714,715,717,718,721,722,732,733,739,742,
743,744,746,748,751,752,755,762,766,767,772,774,776,780,781,786,787,788,790,
793,800,804,812,821,826,828,834,845,848,853,855,860,862,870,874,875,884,885,
889,890,902,903,913,915,927,929,930,931,942,943,945,946,947,952,956,957,964,
966,971,973,976,977,980,986,989,992,996,999,1005,1010,1029,1030,1032,1037,
1038,1049,1061,1070,1079,1090,1095,1106,1114,1128,1130,1139,1143,1146,1147,
1159,1161,1162,1170,1309,1313,1319,1321,1322,1325,1327,1330,1332,1335,1336,
1338,1339,1351,1357,1361,1365,1366,1367,1376,1380,1382,1390,1391,1394,1395,
1398,1399,1401,1408,1410,1413,1414,1419,1420,1426,1428,1429,1431,1432,1433,
1435,1438,1440,1445,1448,1466,1467,1472,1474,1482,1490,1493,1503,1513,1523,
1524,1537,1543,1550,1556,1573,1596,1597,1639,1641,1649,1658,1666,1669,1808,
1814,1817,1818,1825,1833,1837,1838,1844,1846,1852,1875,1886,1888,1892,1896,
1898,1899,1928,1939,1941,1943,1945,1954,1956,1979,1989,2086,2088,2097,2104,
2107,2108,2113,2208],[1,2,3,5,8,9,13,14,15,16,17,20,21,24,25,27,29,30,31,32,
33,34,35,39,41,42,44,45,47,69,70,71,72,73,74,75,76,79,81,84,86,87,88,89,90,93,
97,98,99,100,101,103,105,106,108,110,112,115,120,121,123,125,126,129,132,139,
143,144,146,147,148,150,151,152,153,154,156,157,158,161,162,163,166,167,169,
171,174,176,177,179,181,182,184,185,188,190,192,194,195,197,198,201,205,208,
209,213,216,217,219,255,256,257,258,259,260,261,262,263,264,265,266,267,268,
269,276,280,285,286,287,288,295,296,297,298,299,301,302,304,306,309,310,312,
314,315,316,317,318,322,323,324,325,327,328,331,334,347,353,356,358,359,361,
368,374,375,379,380,382,386,391,394,399,400,401,402,405,406,411,412,414,420,
422,424,426,428,433,434,435,436,438,441,445,450,456,458,463,465,467,479,487,
494,495,501,524,525,526,529,530,531,534,537,540,543,544,550,553,554,555,563,
570,572,577,578,579,582,584,586,587,588,589,590,591,593,594,595,598,599,600,
601,602,603,604,605,606,607,609,610,611,612,613,615,616,618,619,698,700,701,
702,703,705,706,708,709,711,712,713,715,716,717,718,720,724,726,728,731,733,
735,738,739,741,742,743,744,745,746,747,750,752,754,758,759,765,766,769,771,
772,778,781,784,787,790,791,798,799,800,804,808,809,810,813,814,816,817,819,
821,825,826,827,832,835,838,840,845,847,849,851,855,858,859,865,868,872,873,
875,883,885,888,896,900,902,908,910,914,918,920,922,923,924,931,937,939,946,
953,955,956,963,964,966,970,974,976,977,986,989,991,993,994,995,996,999,1008,
1009,1011,1014,1020,1021,1022,1026,1028,1029,1034,1041,1045,1052,1053,1057,
1059,1062,1069,1073,1076,1090,1095,1098,1100,1103,1105,1113,1114,1126,1128,
1131,1140,1142,1143,1146,1147,1150,1151,1155,1159,1161,1162,1164,1166,1172,
1185,1186,1187,1188,1309,1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,
1324,1325,1330,1333,1334,1335,1342,1343,1351,1358,1361,1362,1365,1369,1370,
1372,1373,1375,1381,1382,1384,1386,1389,1391,1401,1405,1409,1410,1418,1419,
1422,1426,1433,1434,1435,1437,1439,1441,1449,1450,1454,1466,1469,1472,1473,
1478,1482,1483,1484,1489,1495,1497,1502,1510,1514,1518,1519,1524,1534,1536,
1538,1539,1550,1555,1556,1558,1564,1567,1575,1578,1579,1581,1583,1587,1589,
1590,1593,1594,1595,1596,1597,1606,1607,1643,1645,1650,1651,1654,1662,1666,
1667,1669,1670,1671,1678,1682,1685,1687,1688,1689,1692,1808,1810,1812,1813,
1818,1820,1823,1824,1825,1832,1835,1841,1845,1853,1854,1857,1861,1863,1865,
1888,1889,1890,1900,1904,1928,1933,1939,1941,1949,1950,1952,1953,1962,1964,
1966,1969,1971,1973,1978,1987,1989,1994,2085,2091,2094,2095,2099,2107,2114,
2130,2138,2142,2145,2209],[1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,24,25,26,
27,28,29,30,32,33,38,40,43,70,71,73,74,75,76,78,80,81,83,84,85,87,88,90,91,92,
93,94,101,102,103,104,105,106,107,108,110,113,115,116,118,119,122,123,125,126,
127,128,131,134,136,137,138,140,143,144,145,146,147,155,156,158,162,164,165,
166,169,170,172,176,177,186,187,256,257,259,263,264,265,266,269,270,273,275,
276,280,284,285,286,288,289,291,292,294,296,297,300,301,302,303,307,308,312,
313,314,315,316,322,325,329,330,332,333,334,335,337,341,345,350,352,356,358,
361,362,363,367,369,371,374,376,377,378,379,385,388,390,394,396,399,400,402,
403,404,405,406,412,414,415,417,418,420,421,422,424,426,429,431,442,444,456,
457,463,464,469,470,472,476,481,485,486,491,500,505,512,518,520,523,531,533,
538,541,542,546,553,698,699,700,701,705,707,709,710,711,712,714,715,717,718,
721,722,730,731,732,733,734,736,739,741,742,744,746,749,753,755,756,761,766,
773,776,777,780,783,785,787,788,795,801,803,804,821,823,826,831,842,843,846,
851,864,865,867,869,872,874,875,889,891,892,893,896,897,901,904,906,908,916,
920,923,930,937,944,948,950,954,957,969,977,979,984,996,997,998,999,1000,1007,
1008,1010,1011,1014,1018,1020,1028,1031,1033,1047,1054,1074,1118,1133,1175,
1309,1313,1321,1322,1325,1326,1328,1329,1331,1337,1338,1339,1340,1342,1343,
1354,1357,1365,1370,1372,1377,1378,1379,1380,1383,1392,1397,1399,1402,1407,
1413,1416,1419,1423,1427,1430,1431,1433,1438,1439,1443,1446,1449,1450,1457,
1466,1471,1476,1531,1541,1545,1553,1562,1564,1566,1574,1577,1579,1584,1618,
1648,1650,1651,1655,1806,1808,1812,1814,1815,1821,1833,1834,1838,1839,1841,
1861,1871,1873,1874,1887,1890,1897,1911,1916,1931,1938,1942,1955,1960,2086,
2092,2102,2103,2112,2114,2117,2210],[1,2,3,10,11,12,13,16,17,20,50,51,53,54,
55,56,58,70,73,74,76,81,84,220,221,224,231,236,239,256,257,259,263,296,624,
630,631,632,634,639,640,646,669,681,701,715,1194,1201,1202,1204,1227,1228,
1251,1309,1694,1756,2004,2006,2008,2012,2211],[1,2,3,10,11,12,13,14,15,16,17,
24,50,51,53,54,55,56,58,69,70,71,72,73,74,93,97,99,220,221,224,226,227,231,
236,239,255,256,261,262,286,302,317,624,630,631,632,633,635,636,638,639,640,
651,659,669,673,681,700,703,810,1194,1200,1201,1202,1210,1214,1220,1227,1228,
1293,1310,1693,1694,1740,1758,1995,2004,2007,2009,2010,2011,2212],[1,2,3,4,6,
7,9,10,11,12,13,14,15,18,19,22,23,26,28,39,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,71,72,77,78,80,82,83,95,96,102,122,124,
128,130,134,136,143,148,167,174,175,189,193,196,199,200,202,203,204,220,221,
222,223,224,226,227,228,229,230,231,232,233,234,235,238,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,270,271,277,278,279,281,282,283,
338,361,382,387,389,404,449,459,478,481,484,485,489,505,509,516,517,525,527,
541,561,574,582,585,592,596,597,608,624,625,626,627,628,629,630,633,635,636,
637,641,642,643,644,645,647,649,650,651,652,653,654,655,656,659,660,661,662,
663,665,666,667,668,670,674,676,678,680,683,684,685,690,692,693,694,695,696,
697,719,723,922,1043,1065,1075,1077,1104,1115,1116,1118,1130,1157,1174,1177,
1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1210,1211,1212,
1213,1214,1215,1229,1230,1231,1232,1233,1234,1236,1237,1239,1240,1241,1242,
1243,1244,1247,1250,1253,1254,1255,1256,1257,1260,1261,1262,1263,1264,1269,
1271,1272,1273,1274,1275,1276,1277,1278,1280,1285,1287,1292,1294,1301,1308,
1691,1693,1695,1696,1697,1698,1699,1700,1701,1722,1723,1759,1760,1761,1763,
1764,1765,1768,1772,1776,1777,1780,1782,1783,1784,1785,1787,1790,1794,1795,
1796,1798,1995,1996,1997,1998,1999,2000,2001,2005,2083,2084,2146,2147,2148,
2149,2150,2151,2152,2213],[1,2,3,5,8,12,13,14,15,16,17,20,21,24,27,29,31,32,
34,35,45,56,58,69,70,71,72,73,74,75,76,79,81,84,86,87,88,89,90,93,97,98,99,
100,101,103,105,106,110,115,121,125,126,129,132,139,144,147,154,157,158,161,
163,166,171,176,177,179,188,201,225,231,237,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,276,280,285,286,287,288,295,296,298,299,301,302,
304,309,312,314,315,317,318,322,323,324,325,331,334,347,353,358,368,375,379,
380,394,399,401,405,406,412,420,428,435,436,441,450,458,463,487,530,540,555,
577,578,586,604,607,610,618,636,639,646,648,664,671,673,691,698,700,701,702,
703,705,706,708,709,711,712,713,715,716,717,718,720,724,726,728,733,735,738,
739,742,744,745,746,747,750,758,759,765,766,769,771,784,787,791,798,799,804,
809,810,814,816,817,819,821,825,826,827,832,835,840,847,868,873,875,953,955,
974,977,991,993,994,995,996,999,1021,1022,1026,1034,1069,1210,1227,1235,1251,
1293,1305,1309,1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,
1333,1334,1358,1365,1369,1375,1384,1418,1419,1422,1433,1434,1437,1454,1466,
1469,1473,1489,1497,1502,1534,1567,1583,1594,1654,1704,1744,1808,1810,1823,
1824,1857,1933,2008,2011,2014,2017,2061,2069,2085,2214],[1,2,3,5,8,10,13,14,
15,16,17,20,21,24,27,29,31,32,34,35,45,50,53,69,70,71,72,73,74,75,76,79,81,84,
86,87,88,89,90,93,97,98,99,100,101,103,105,106,110,115,121,125,126,129,132,
139,144,147,154,157,158,161,163,166,171,176,177,179,188,201,221,226,227,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,276,280,285,286,287,
288,295,296,298,299,301,302,304,309,312,314,315,317,318,322,323,324,325,331,
334,347,353,358,368,375,379,380,394,399,401,405,406,412,420,428,435,436,441,
450,458,463,487,530,540,555,577,578,586,604,607,610,618,632,634,635,651,659,
698,700,701,702,703,705,706,708,709,711,712,713,715,716,717,718,720,724,726,
728,733,735,738,739,742,744,745,746,747,750,758,759,765,766,769,771,784,787,
791,798,799,804,809,810,814,816,817,819,821,825,826,827,832,835,840,847,868,
873,875,953,955,974,977,991,993,994,995,996,999,1021,1022,1026,1034,1069,1201,
1203,1204,1205,1214,1216,1217,1309,1310,1311,1312,1315,1316,1317,1318,1320,
1321,1323,1324,1325,1333,1334,1358,1365,1369,1375,1384,1418,1419,1422,1433,
1434,1437,1454,1466,1469,1473,1489,1497,1502,1534,1567,1583,1594,1654,1712,
1714,1717,1725,1740,1751,1808,1810,1823,1824,1857,1933,2006,2009,2023,2085,
2156,2215],[1,2,3,5,8,11,13,14,15,16,17,20,21,24,27,29,31,32,34,35,45,51,54,
55,69,70,71,72,73,74,75,76,79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,
105,106,110,115,121,125,126,129,132,139,144,147,154,157,158,161,163,166,171,
176,177,179,188,201,224,236,239,255,256,257,258,259,260,261,262,263,264,265,
266,267,268,269,276,280,285,286,287,288,295,296,298,299,301,302,304,309,312,
314,315,317,318,322,323,324,325,331,334,347,353,358,368,375,379,380,394,399,
401,405,406,412,420,428,435,436,441,450,458,463,487,530,540,555,577,578,586,
604,607,610,618,631,633,638,640,669,681,698,700,701,702,703,705,706,708,709,
711,712,713,715,716,717,718,720,724,726,728,733,735,738,739,742,744,745,746,
747,750,758,759,765,766,769,771,784,787,791,798,799,804,809,810,814,816,817,
819,821,825,826,827,832,835,840,847,868,873,875,953,955,974,977,991,993,994,
995,996,999,1021,1022,1026,1034,1069,1200,1202,1219,1220,1224,1228,1245,1258,
1309,1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,1333,1334,
1358,1365,1369,1375,1384,1418,1419,1422,1433,1434,1437,1454,1466,1469,1473,
1489,1497,1502,1534,1567,1583,1594,1654,1729,1734,1756,1757,1758,1770,1788,
1808,1810,1823,1824,1857,1933,2007,2010,2012,2066,2085,2158,2216],[1,2,3,4,5,
7,8,10,13,14,15,16,17,18,19,20,21,24,26,27,28,29,32,38,43,50,52,53,57,70,71,
73,74,75,76,81,83,84,85,87,88,90,91,92,93,94,101,102,103,104,105,106,107,110,
113,115,116,118,119,122,125,126,127,128,131,134,136,137,138,140,144,147,155,
158,164,165,166,170,172,176,177,221,222,223,226,227,228,229,256,257,259,263,
264,265,266,269,273,275,276,280,284,285,286,288,289,292,296,300,301,302,303,
307,308,312,313,314,315,322,325,329,332,333,334,335,337,341,345,350,352,358,
362,363,369,371,376,377,378,379,385,388,390,394,396,399,403,404,405,406,412,
415,418,420,421,429,442,444,457,463,464,469,472,491,500,518,520,523,533,538,
542,546,632,634,637,643,650,654,656,659,660,698,699,700,701,705,707,709,710,
711,712,714,715,717,718,732,733,734,736,739,742,744,746,749,756,761,766,773,
780,783,785,787,788,801,803,804,821,826,842,846,867,875,889,891,892,893,897,
901,944,954,977,979,984,996,999,1000,1007,1010,1031,1033,1047,1074,1133,1175,
1201,1203,1204,1205,1206,1207,1208,1209,1216,1217,1218,1226,1233,1309,1321,
1322,1325,1326,1328,1329,1331,1337,1338,1340,1354,1365,1377,1383,1397,1402,
1419,1427,1431,1433,1438,1443,1446,1466,1471,1476,1545,1553,1648,1655,1703,
1705,1706,1709,1712,1720,1721,1740,1741,1742,1743,1748,1751,1754,1806,1808,
1815,1821,1834,1838,1839,1887,1916,1931,1942,2006,2018,2079,2092,2154,2155,
2156,2217],[1,2,3,5,7,8,10,13,14,15,16,17,20,21,24,26,27,28,29,32,37,46,50,53,
57,70,71,73,74,75,76,81,84,87,88,90,92,93,94,101,103,104,105,106,110,115,117,
124,125,126,127,128,130,131,133,138,142,144,147,155,158,159,160,165,166,173,
175,176,177,178,221,226,227,228,229,256,257,259,263,264,265,266,269,276,280,
285,286,288,290,293,296,300,301,302,307,312,314,315,322,325,329,333,334,336,
340,342,343,349,358,363,365,371,378,379,387,394,395,399,405,406,410,412,413,
416,418,420,439,446,461,462,463,468,474,475,482,497,504,506,513,519,523,536,
538,545,548,575,632,634,650,652,653,659,676,698,700,701,705,707,709,711,712,
714,715,717,718,732,733,739,742,744,746,748,762,766,774,780,786,787,788,804,
821,826,828,860,870,875,884,889,890,942,947,952,971,977,980,992,996,999,1005,
1010,1030,1032,1037,1038,1061,1070,1106,1139,1201,1203,1204,1205,1207,1209,
1216,1217,1218,1226,1230,1309,1319,1321,1322,1325,1327,1332,1336,1338,1365,
1367,1376,1395,1398,1408,1419,1420,1429,1431,1432,1433,1438,1466,1467,1474,
1490,1493,1573,1641,1712,1715,1716,1720,1730,1735,1740,1743,1749,1751,1752,
1753,1808,1817,1837,1838,1886,1892,1945,1954,1956,2006,2020,2075,2097,2155,
2156,2218],[1,2,3,5,6,8,10,13,14,15,16,17,20,21,22,23,24,27,29,32,36,50,53,61,
70,71,73,74,75,76,77,81,82,84,87,88,90,93,95,96,101,103,105,106,109,110,111,
114,115,125,126,135,141,144,147,149,158,166,168,176,177,221,226,227,233,234,
256,257,259,263,264,265,266,269,276,279,280,285,286,288,296,301,302,305,311,
312,314,315,319,320,322,325,334,339,346,354,357,358,366,379,381,394,399,405,
406,412,420,423,427,437,448,455,463,515,571,581,632,634,645,659,661,666,668,
698,700,701,704,705,709,711,712,715,717,718,725,727,733,739,742,744,746,763,
766,775,782,787,789,802,804,818,821,826,875,879,880,934,968,977,987,990,996,
999,1134,1201,1203,1204,1205,1216,1217,1222,1225,1250,1309,1314,1321,1325,
1341,1360,1365,1374,1411,1415,1419,1433,1452,1453,1455,1464,1466,1712,1713,
1719,1733,1740,1750,1751,1808,1809,1826,1827,1924,2006,2013,2087,2156,2160,
2219],[1,2,3,5,8,10,13,14,15,16,17,20,21,24,27,29,32,40,50,53,70,71,73,74,75,
76,78,80,81,84,87,88,90,93,101,103,105,106,110,115,125,126,144,145,147,158,
166,176,177,221,226,227,256,257,259,263,264,265,266,269,270,276,280,285,286,
288,291,294,296,301,302,312,314,315,322,325,330,334,358,367,379,394,399,405,
406,412,417,420,431,463,632,634,647,649,659,698,700,701,705,709,711,712,715,
717,718,721,722,733,739,742,744,746,755,766,776,787,804,821,826,874,875,930,
957,977,996,999,1201,1203,1204,1205,1216,1217,1234,1309,1313,1321,1325,1339,
1357,1365,1380,1399,1413,1419,1433,1466,1708,1712,1718,1740,1751,1808,1814,
1833,2006,2021,2086,2156,2220],[1,2,3,5,8,9,10,13,14,15,16,17,20,21,24,27,29,
32,39,41,42,44,47,50,53,60,64,70,71,73,74,75,76,81,84,87,88,90,93,101,103,105,
106,110,112,115,120,125,126,144,147,148,150,151,152,153,158,166,167,174,176,
177,181,182,184,185,192,195,197,221,226,227,235,238,252,256,257,259,263,264,
265,266,269,276,280,285,286,288,296,301,302,306,310,312,314,315,322,325,327,
328,334,358,359,379,382,386,391,394,399,405,406,411,412,420,433,434,438,445,
463,465,467,494,495,501,526,529,543,544,550,563,570,572,579,584,588,593,600,
606,632,634,644,655,659,667,680,698,700,701,705,709,711,712,715,717,718,733,
739,742,743,744,746,752,766,772,781,787,790,800,804,821,826,845,855,875,885,
902,931,946,956,964,966,976,977,986,989,996,999,1029,1090,1095,1114,1128,1143,
1146,1147,1159,1161,1162,1201,1203,1204,1205,1216,1217,1221,1223,1231,1303,
1309,1321,1325,1330,1335,1351,1361,1365,1382,1391,1401,1410,1419,1426,1433,
1435,1466,1472,1482,1524,1550,1556,1596,1597,1666,1669,1710,1711,1712,1738,
1740,1746,1751,1797,1808,1818,1825,1888,1928,1939,1941,1989,2006,2028,2078,
2107,2156,2159,2221],[1,2,3,5,8,10,13,14,15,16,17,20,21,24,25,27,29,30,32,33,
50,53,70,71,73,74,75,76,81,84,87,88,90,93,101,103,105,106,108,110,115,123,125,
126,143,144,146,147,156,158,162,166,169,176,177,221,226,227,256,257,259,263,
264,265,266,269,276,280,285,286,288,296,297,301,302,312,314,315,316,322,325,
334,356,358,361,374,379,394,399,400,402,405,406,412,414,420,422,424,426,456,
463,531,553,632,634,641,642,659,698,700,701,705,709,711,712,715,717,718,731,
733,739,741,742,744,746,766,787,804,821,826,851,865,872,875,896,908,920,923,
937,977,996,999,1008,1011,1014,1020,1028,1201,1203,1204,1205,1216,1217,1253,
1309,1321,1325,1342,1343,1365,1370,1372,1419,1433,1439,1449,1450,1466,1564,
1579,1650,1651,1702,1707,1712,1740,1751,1808,1812,1841,1861,1890,2006,2015,
2065,2114,2156,2222],[1,2,3,4,6,9,10,13,16,17,18,19,20,22,23,39,47,49,50,52,
53,60,61,64,70,73,74,76,81,83,84,85,91,96,112,113,114,118,120,135,141,151,153,
168,174,181,192,195,196,200,203,204,221,222,223,233,234,235,238,246,252,256,
257,259,263,273,275,289,296,303,319,320,328,344,366,370,377,396,397,408,411,
427,452,480,492,521,522,526,535,543,544,550,552,558,559,562,567,571,572,580,
581,584,592,600,606,632,634,637,668,670,674,678,680,684,699,701,704,710,715,
743,749,781,782,785,829,844,879,880,886,976,982,986,1016,1017,1019,1023,1029,
1035,1042,1044,1064,1067,1068,1123,1143,1146,1171,1201,1204,1206,1208,1221,
1222,1223,1225,1287,1303,1309,1326,1329,1374,1415,1435,1472,1522,1591,1596,
1600,1628,1642,1664,1669,1721,1724,1733,1738,1739,1745,1755,1797,1806,1809,
1902,1921,1927,1939,1946,2006,2076,2123,2154,2159,2160,2223],[1,2,3,5,8,9,11,
13,14,15,16,17,20,21,24,27,29,32,39,41,42,44,47,51,54,55,65,68,69,70,71,72,73,
74,75,76,86,87,88,89,90,93,97,99,101,103,105,110,121,125,126,132,143,144,148,
150,151,152,153,162,163,166,167,169,171,174,176,177,181,182,184,185,188,192,
195,197,201,224,236,239,241,245,247,253,255,256,261,262,263,266,267,269,285,
286,287,288,296,298,299,302,304,309,312,314,317,318,323,324,327,356,359,361,
368,374,379,380,382,386,394,399,401,402,405,406,411,412,420,422,428,433,434,
435,436,438,463,465,467,494,495,501,525,530,531,537,553,554,570,572,578,582,
584,588,593,594,598,599,600,601,602,603,605,606,619,631,633,638,669,679,682,
689,690,700,701,702,703,706,716,717,728,735,738,739,741,742,744,750,752,766,
769,771,781,787,799,800,810,821,825,826,827,835,840,845,855,873,883,900,920,
922,923,924,939,953,963,964,986,989,995,996,1011,1014,1021,1022,1026,1076,
1090,1098,1100,1103,1114,1126,1128,1131,1142,1143,1146,1147,1155,1159,1161,
1164,1185,1186,1200,1202,1219,1220,1224,1245,1258,1267,1281,1284,1286,1292,
1310,1324,1330,1342,1362,1365,1369,1373,1384,1410,1422,1437,1449,1482,1483,
1497,1510,1518,1519,1524,1536,1539,1550,1556,1567,1589,1595,1596,1597,1606,
1607,1645,1650,1651,1662,1727,1731,1734,1756,1758,1766,1769,1770,1787,1799,
1810,1835,1854,1889,1890,1928,1949,1966,1971,1987,1994,2007,2063,2071,2072,
2130,2158,2172,2224],[1,2,3,5,8,11,13,14,15,16,17,20,21,24,25,27,29,30,32,33,
51,54,55,69,70,71,72,73,74,75,76,86,87,88,89,90,93,97,99,101,103,105,108,110,
112,120,121,123,125,126,132,144,146,156,162,163,166,169,171,176,177,188,195,
201,224,236,239,255,256,261,262,263,266,267,269,285,286,287,288,296,297,298,
299,302,304,306,309,310,312,314,316,317,318,323,324,328,368,379,380,391,394,
399,400,401,402,405,406,412,414,420,422,424,426,428,435,436,456,463,494,495,
530,531,553,578,584,631,633,638,669,677,687,700,701,702,703,706,716,717,728,
731,735,738,739,742,743,744,750,754,766,769,771,772,778,787,790,799,808,810,
813,821,825,826,827,835,840,851,873,920,937,953,964,986,989,995,996,1008,1011,
1014,1020,1021,1022,1026,1028,1057,1059,1166,1172,1200,1202,1219,1220,1224,
1245,1258,1306,1310,1324,1335,1343,1365,1369,1384,1409,1410,1422,1437,1441,
1449,1497,1555,1564,1567,1578,1579,1590,1643,1645,1662,1666,1669,1728,1732,
1734,1756,1758,1770,1810,1813,1861,1863,1888,1889,1950,2007,2059,2074,2080,
2145,2158,2225],[1,2,3,6,7,9,10,13,16,17,20,22,23,26,28,39,47,48,50,53,57,60,
61,64,70,73,74,76,81,84,92,94,96,104,112,114,120,127,128,131,135,138,141,151,
153,155,165,168,174,181,189,192,193,195,199,202,221,228,229,233,234,235,238,
248,252,256,257,259,263,296,300,307,319,320,328,329,333,363,366,371,378,398,
411,418,419,425,427,432,447,477,493,499,511,523,526,538,539,543,544,547,550,
551,556,557,564,571,572,576,581,584,596,600,606,632,634,650,663,665,668,680,
683,685,701,704,707,714,715,732,743,780,781,782,788,824,830,837,879,880,889,
909,940,976,985,986,1006,1010,1024,1029,1109,1112,1117,1127,1135,1143,1146,
1154,1178,1182,1201,1204,1207,1209,1218,1221,1222,1223,1225,1226,1285,1303,
1309,1322,1338,1374,1415,1431,1435,1438,1472,1481,1596,1623,1635,1637,1638,
1646,1669,1720,1726,1733,1736,1737,1738,1743,1747,1797,1809,1838,1869,1922,
1926,1930,1939,2006,2073,2129,2155,2159,2160,2226],[1,2,3,4,5,6,7,8,9,10,13,
14,15,18,19,20,21,22,23,25,26,27,28,29,30,32,33,36,37,38,39,41,42,43,44,45,46,
47,48,49,50,52,53,57,60,61,64,69,71,72,75,76,77,78,80,82,83,84,85,86,87,88,89,
90,91,92,94,95,96,101,102,104,107,108,109,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,127,128,130,131,132,133,134,135,136,137,138,140,142,
143,146,148,149,150,151,152,153,154,155,156,157,158,159,160,164,165,167,168,
170,172,173,174,175,178,179,183,184,189,191,193,196,197,199,200,202,203,204,
209,211,215,216,217,219,221,222,223,226,227,228,229,233,234,235,238,246,248,
252,255,259,265,267,269,270,271,276,277,278,279,280,281,282,283,284,289,290,
291,292,293,294,295,297,298,300,301,303,305,306,307,308,309,310,311,312,313,
316,318,319,320,322,325,327,328,329,331,335,336,337,338,340,341,342,343,344,
345,346,348,349,351,352,353,354,356,359,360,361,362,363,365,370,372,374,377,
378,381,382,384,385,386,387,388,389,390,391,392,393,395,396,397,398,400,401,
403,404,408,410,411,413,415,416,417,418,419,421,423,425,426,427,429,430,432,
433,434,439,440,442,443,444,445,446,447,448,449,450,452,453,454,455,458,459,
460,462,464,468,472,473,477,478,480,481,484,485,489,490,496,497,499,502,504,
505,506,507,508,509,510,511,513,514,516,517,518,520,523,525,526,527,528,532,
533,535,536,537,538,541,542,546,548,550,552,554,556,557,559,560,561,562,563,
564,566,567,568,574,575,576,580,582,585,589,590,592,596,597,608,609,612,613,
614,616,617,634,635,637,641,642,643,644,645,647,649,650,651,652,653,654,655,
656,659,660,661,663,665,666,667,668,670,674,676,678,680,683,684,685,698,704,
705,706,708,719,720,721,722,723,724,725,727,730,731,732,737,740,741,749,751,
752,753,754,756,757,760,762,763,764,765,767,768,770,772,773,774,776,777,778,
779,789,792,793,794,795,796,797,801,803,805,806,807,808,811,812,813,817,818,
820,823,824,830,834,836,837,839,841,844,846,849,852,853,854,856,857,858,859,
860,862,863,864,865,867,869,870,878,882,883,884,885,886,887,894,895,896,900,
901,904,906,915,916,918,919,921,922,924,925,926,927,928,929,932,933,935,936,
938,939,943,944,945,949,956,958,959,960,961,963,966,967,971,975,976,978,979,
980,982,998,1000,1001,1002,1003,1004,1005,1006,1007,1010,1012,1015,1018,1023,
1025,1027,1030,1031,1037,1040,1042,1043,1044,1046,1047,1048,1050,1055,1058,
1060,1061,1062,1064,1065,1068,1070,1074,1075,1077,1080,1081,1084,1086,1087,
1089,1092,1096,1104,1105,1106,1107,1109,1110,1112,1115,1116,1118,1120,1122,
1124,1127,1129,1130,1132,1133,1137,1139,1148,1149,1152,1154,1157,1158,1160,
1162,1163,1165,1168,1173,1174,1175,1177,1179,1181,1203,1204,1205,1206,1207,
1208,1209,1212,1214,1215,1216,1217,1218,1221,1222,1223,1225,1226,1230,1231,
1232,1233,1234,1237,1239,1240,1241,1242,1243,1244,1247,1250,1253,1254,1255,
1256,1257,1260,1261,1262,1263,1264,1269,1271,1272,1273,1274,1275,1277,1280,
1285,1287,1294,1301,1312,1313,1314,1345,1346,1347,1349,1350,1353,1356,1359,
1364,1368,1370,1373,1378,1381,1385,1387,1388,1390,1394,1398,1401,1403,1405,
1407,1409,1421,1423,1425,1436,1442,1443,1444,1445,1448,1451,1456,1457,1459,
1461,1463,1468,1475,1479,1480,1486,1492,1505,1506,1507,1515,1520,1521,1523,
1533,1535,1537,1538,1544,1546,1547,1549,1560,1562,1572,1574,1575,1576,1580,
1581,1582,1584,1586,1587,1592,1598,1602,1603,1604,1605,1610,1613,1614,1615,
1616,1617,1618,1619,1620,1622,1624,1629,1630,1631,1634,1638,1641,1648,1649,
1652,1657,1658,1659,1660,1664,1665,1668,1673,1675,1679,1684,1686,1691,1702,
1703,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,
1719,1720,1721,1722,1724,1725,1726,1730,1733,1735,1736,1737,1738,1739,1741,
1742,1743,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1759,1760,
1761,1763,1764,1765,1772,1777,1783,1784,1785,1790,1794,1798,1804,1850,1852,
1855,1868,1878,1883,1891,1900,1905,1908,1923,1948,1955,1958,1965,1975,1982,
1985,1986,1988,1990,1992,2013,2015,2016,2018,2019,2020,2021,2022,2023,2024,
2025,2026,2027,2028,2029,2030,2031,2032,2034,2035,2036,2037,2038,2039,2040,
2042,2043,2044,2045,2046,2047,2048,2050,2052,2055,2056,2060,2067,2068,2073,
2075,2076,2079,2084,2132,2162,2164,2170,2171,2173,2174,2175,2176,2177,2179,
2180,2181,2182,2183,2186,2227],[1,2,3,4,5,6,9,12,13,18,19,20,21,22,23,24,27,
31,36,39,40,47,49,56,58,59,62,63,66,67,75,76,79,81,83,85,91,93,96,98,99,109,
111,112,113,114,115,120,135,138,141,145,149,151,153,162,163,168,169,174,182,
185,196,200,203,204,218,225,230,231,232,240,242,243,244,249,250,251,254,257,
258,261,265,266,273,275,287,299,303,307,328,344,345,366,370,388,397,405,408,
411,423,427,431,445,448,452,455,483,492,521,522,543,544,553,556,557,558,559,
562,563,564,567,570,571,573,576,581,592,598,601,603,619,646,648,662,664,672,
673,692,693,694,695,696,697,699,714,718,750,759,761,789,790,800,801,802,824,
829,837,876,879,909,930,966,968,982,1011,1017,1023,1024,1029,1035,1058,1067,
1076,1100,1123,1124,1129,1156,1165,1171,1235,1238,1249,1251,1252,1265,1266,
1270,1279,1282,1293,1300,1304,1308,1315,1319,1340,1357,1372,1426,1453,1504,
1544,1552,1585,1589,1590,1608,1642,1646,1661,1762,1767,1773,1775,1778,1779,
1786,1792,1802,1807,1862,1893,1897,1898,1918,1953,2014,2081,2137,2167,2168,
2169,2228],[1,2,3,4,5,6,7,8,9,12,13,14,15,18,19,20,21,22,23,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,56,58,59,62,63,66,67,69,
71,72,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,98,100,101,
102,104,106,107,108,109,111,112,113,114,116,117,119,120,121,122,123,124,125,
127,128,129,130,131,132,133,134,135,136,137,139,140,141,142,143,145,146,147,
148,149,150,151,152,153,156,159,160,161,164,165,167,168,170,172,173,174,175,
178,180,183,184,186,187,189,190,191,193,194,196,197,198,199,200,202,203,204,
205,206,207,208,210,211,212,213,214,215,218,225,230,231,232,237,240,242,243,
244,249,250,251,254,255,257,258,260,264,267,268,269,270,271,272,273,274,275,
277,278,279,281,282,283,284,290,291,292,293,294,297,298,300,303,305,306,308,
309,310,311,312,313,315,316,318,321,326,327,328,329,330,332,333,334,335,336,
337,338,339,340,342,343,344,346,347,348,349,350,351,354,355,356,357,358,359,
360,361,362,364,366,367,369,370,371,372,373,374,375,376,381,382,383,384,385,
386,387,389,391,392,393,397,398,400,401,404,407,408,409,410,411,413,415,416,
417,419,421,423,425,426,427,429,430,431,432,433,434,437,440,443,447,449,451,
452,453,454,457,459,460,461,466,469,470,471,473,474,475,476,477,478,479,481,
482,483,484,485,486,487,488,489,490,491,492,493,496,498,499,500,502,503,504,
505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,524,
525,527,528,529,532,534,537,539,541,543,544,545,546,547,549,551,554,555,558,
559,560,561,562,565,566,567,568,569,571,573,574,579,581,582,583,585,587,591,
592,595,596,597,608,611,614,615,617,620,621,622,623,636,646,648,657,658,662,
664,671,672,675,686,688,691,692,693,694,695,696,697,699,706,707,712,713,719,
723,726,729,730,731,736,737,740,741,745,751,752,753,754,755,756,757,760,762,
763,764,767,768,770,772,775,776,777,778,779,786,792,793,794,795,796,797,805,
806,807,808,811,812,813,815,820,822,828,829,830,831,833,834,838,841,843,848,
850,853,861,864,866,871,872,874,876,877,878,879,881,882,883,887,888,892,893,
894,897,898,899,900,902,903,904,905,906,907,908,910,911,912,913,914,917,919,
921,922,924,925,927,931,933,934,935,936,939,940,941,945,946,947,948,949,950,
951,952,954,957,958,959,960,961,962,963,965,969,970,972,973,981,982,983,984,
985,987,988,990,994,997,998,1001,1002,1005,1006,1007,1009,1013,1015,1017,1023,
1029,1035,1036,1038,1043,1050,1051,1054,1055,1056,1060,1063,1065,1066,1067,
1071,1072,1075,1077,1078,1079,1080,1082,1083,1085,1088,1091,1092,1094,1095,
1097,1099,1101,1102,1104,1107,1108,1111,1115,1116,1117,1118,1119,1121,1122,
1123,1125,1130,1132,1134,1135,1136,1138,1140,1141,1144,1145,1149,1152,1153,
1157,1158,1160,1167,1169,1170,1171,1174,1176,1177,1178,1179,1180,1181,1182,
1183,1184,1210,1211,1213,1229,1235,1236,1238,1246,1248,1249,1251,1252,1259,
1265,1266,1268,1270,1276,1278,1279,1282,1283,1289,1290,1295,1297,1302,1305,
1308,1311,1327,1337,1344,1348,1350,1353,1356,1359,1361,1363,1364,1368,1371,
1373,1378,1379,1385,1386,1387,1388,1389,1392,1393,1394,1400,1406,1407,1409,
1412,1413,1424,1425,1428,1436,1439,1440,1444,1445,1451,1455,1470,1475,1477,
1478,1480,1484,1486,1487,1488,1491,1494,1495,1496,1498,1499,1500,1503,1507,
1508,1509,1511,1513,1514,1515,1516,1517,1525,1526,1527,1531,1532,1533,1540,
1541,1542,1543,1547,1548,1551,1554,1557,1559,1561,1563,1565,1566,1568,1569,
1570,1571,1577,1599,1609,1613,1621,1625,1626,1627,1635,1636,1639,1640,1642,
1653,1657,1672,1674,1676,1677,1680,1681,1686,1691,1704,1723,1762,1767,1768,
1771,1773,1774,1775,1776,1778,1779,1780,1781,1782,1786,1789,1791,1792,1793,
1795,1796,1800,1805,1844,1849,1850,1856,1858,1859,1866,1883,1903,1904,1917,
1925,1935,1938,1963,1967,1968,1970,1972,1974,1991,1993,2017,2033,2041,2049,
2051,2053,2054,2081,2082,2083,2133,2161,2163,2165,2166,2178,2187,2188,2229],[
1,2,3,4,6,9,12,13,16,17,18,19,20,22,23,39,47,49,56,58,59,62,63,66,67,70,73,74,
76,81,83,84,85,91,96,112,113,114,118,120,135,141,151,153,168,174,181,192,195,
196,200,203,204,230,231,232,240,242,243,244,249,250,251,254,256,257,259,263,
273,275,289,296,303,319,320,328,344,366,370,377,396,397,408,411,427,452,480,
492,521,522,526,535,543,544,550,552,558,559,562,567,571,572,580,581,584,592,
600,606,639,646,662,692,693,694,695,696,697,699,701,704,710,715,743,749,781,
782,785,829,844,879,880,886,976,982,986,1016,1017,1019,1023,1029,1035,1042,
1044,1064,1067,1068,1123,1143,1146,1171,1227,1238,1249,1251,1252,1265,1279,
1282,1288,1307,1308,1309,1326,1329,1374,1415,1435,1472,1522,1591,1596,1600,
1628,1642,1664,1669,1762,1767,1773,1775,1778,1786,1792,1803,1806,1809,1902,
1921,1927,1939,1946,2008,2081,2123,2157,2184,2185,2230],[1,2,3,4,5,6,7,8,9,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
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,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,255,256,
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,
618,619,620,621,622,623,698,699,700,701,702,703,704,705,706,707,708,709,710,
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,
1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1309,1310,1311,
1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,
1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,
1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,
1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,
1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,
1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,
1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,
1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,
1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,
1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,
1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,
1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,
1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,
1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,
1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,
1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,
1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,
1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,
1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1689,1690,1691,1692,1804,1805,1806,1807,1808,1809,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,
1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,
1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,
1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,
1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,
1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,
1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,
1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,
1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,
1993,1994,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,
2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,
2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,
2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,
2143,2144,2145,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,
2208,2209,2210,2231],[1,2,3,9,10,11,12,13,16,17,20,39,47,50,51,53,54,55,56,58,
60,62,63,64,65,67,68,70,73,74,76,81,84,112,120,151,153,174,181,192,195,220,
221,224,231,235,236,238,239,240,241,243,245,247,249,252,253,254,256,257,259,
263,296,328,411,526,543,544,550,572,584,600,606,624,625,626,629,630,631,632,
634,639,640,646,669,677,679,680,681,682,687,689,690,692,701,715,743,781,976,
986,1029,1143,1146,1190,1191,1194,1196,1197,1201,1202,1204,1221,1223,1227,
1228,1251,1252,1279,1284,1286,1288,1291,1296,1298,1299,1303,1306,1307,1309,
1435,1472,1596,1669,1694,1700,1738,1756,1786,1797,1799,1801,1803,1939,2002,
2003,2004,2006,2008,2012,2071,2080,2153,2159,2185,2191,2211,2232],[1,2,3,4,10,
11,12,13,16,17,18,19,20,50,51,52,53,54,55,56,58,66,70,73,74,76,81,83,84,85,91,
113,118,220,221,222,223,224,231,236,239,242,244,256,257,259,263,273,275,289,
296,303,377,396,624,628,630,631,632,634,637,639,640,646,669,681,693,699,701,
710,715,749,785,1192,1193,1194,1201,1202,1204,1206,1208,1227,1228,1238,1251,
1265,1309,1326,1329,1694,1696,1721,1756,1767,1806,2004,2006,2008,2012,2154,
2184,2211,2233],[1,2,3,6,10,11,12,13,16,17,20,22,23,50,51,53,54,55,56,58,59,
61,70,73,74,76,81,84,96,114,135,141,168,220,221,224,230,231,232,233,234,236,
239,256,257,259,263,296,319,320,366,427,571,581,624,627,630,631,632,634,639,
640,646,662,668,669,681,701,704,715,782,879,880,1189,1194,1195,1201,1202,1204,
1222,1225,1227,1228,1249,1251,1282,1309,1374,1415,1694,1695,1733,1756,1792,
1809,2004,2006,2008,2012,2157,2160,2211,2234],[1,2,3,9,10,11,12,13,14,15,16,
17,24,39,47,50,51,53,54,55,56,58,60,62,63,64,65,67,68,69,70,71,72,73,74,93,97,
99,143,148,162,167,169,174,181,182,185,192,195,220,221,224,226,227,231,235,
236,238,239,240,241,243,245,247,249,252,253,254,255,256,261,262,286,302,317,
361,382,525,553,570,572,582,584,598,600,602,603,605,606,624,625,626,629,630,
631,632,633,635,636,638,639,640,641,642,644,651,655,659,667,669,673,677,679,
680,681,682,687,689,690,692,700,703,810,855,922,923,964,1014,1100,1103,1143,
1147,1155,1190,1191,1194,1196,1197,1200,1201,1202,1210,1214,1220,1227,1228,
1231,1253,1260,1267,1272,1275,1276,1277,1278,1281,1284,1286,1288,1291,1292,
1293,1296,1298,1299,1300,1303,1304,1306,1307,1310,1536,1539,1550,1606,1645,
1650,1693,1694,1700,1740,1758,1769,1777,1787,1796,1797,1799,1801,1802,1803,
1971,1995,1997,1998,2002,2003,2004,2007,2009,2010,2011,2065,2072,2074,2078,
2152,2153,2172,2190,2192,2195,2212,2235],[1,2,3,5,6,8,12,13,14,15,16,17,20,21,
22,23,24,27,29,31,32,34,35,36,40,45,56,58,59,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,84,86,87,88,89,90,93,95,96,97,98,99,100,101,103,105,106,109,110,111,
114,115,121,125,126,129,132,135,139,141,144,145,147,149,154,157,158,161,163,
166,168,171,176,177,179,188,201,214,218,225,230,231,232,237,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,276,277,278,279,280,282,
285,286,287,288,291,294,295,296,298,299,301,302,304,305,309,311,312,314,315,
317,318,319,320,322,323,324,325,330,331,334,339,346,347,348,353,354,357,358,
360,366,367,368,375,379,380,381,393,394,399,401,405,406,412,417,420,423,427,
428,430,431,435,436,437,441,448,450,451,455,458,463,471,483,487,515,530,540,
555,571,573,577,578,581,586,604,607,610,618,636,639,646,648,662,664,671,672,
673,691,698,700,701,702,703,704,705,706,708,709,711,712,713,715,716,717,718,
720,721,722,723,724,725,726,727,728,733,735,738,739,742,744,745,746,747,750,
755,758,759,760,763,765,766,769,770,771,775,776,782,784,787,789,791,792,798,
799,802,804,805,809,810,814,816,817,818,819,821,822,825,826,827,832,835,836,
840,847,852,854,856,868,871,873,874,875,876,879,880,881,899,917,925,930,934,
951,953,955,957,958,968,974,977,983,987,990,991,993,994,995,996,999,1015,1021,
1022,1026,1034,1039,1063,1069,1134,1156,1210,1211,1213,1227,1235,1249,1251,
1266,1270,1282,1293,1305,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,
1320,1321,1323,1324,1325,1333,1334,1339,1341,1345,1346,1347,1349,1357,1358,
1360,1365,1369,1371,1374,1375,1380,1384,1396,1399,1406,1411,1413,1415,1418,
1419,1422,1424,1433,1434,1437,1444,1447,1452,1453,1454,1455,1459,1460,1464,
1466,1469,1473,1489,1491,1497,1502,1504,1517,1525,1528,1530,1534,1540,1552,
1567,1583,1594,1654,1704,1723,1744,1779,1792,1804,1808,1809,1810,1814,1823,
1824,1826,1827,1828,1831,1833,1836,1848,1856,1857,1862,1909,1912,1915,1924,
1933,1959,1981,2008,2011,2014,2017,2051,2054,2061,2069,2085,2086,2087,2089,
2093,2110,2116,2157,2167,2187,2197,2214,2236],[1,2,3,4,5,7,8,10,13,14,15,16,
17,18,19,20,21,24,26,27,28,29,31,32,34,35,37,38,43,45,46,50,52,53,57,69,70,71,
72,73,74,75,76,79,81,83,84,85,86,87,88,89,90,91,92,93,94,97,98,99,100,101,102,
103,104,105,106,107,110,113,115,116,117,118,119,121,122,124,125,126,127,128,
129,130,131,132,133,134,136,137,138,139,140,142,144,147,154,155,157,158,159,
160,161,163,164,165,166,170,171,172,173,175,176,177,178,179,180,188,201,206,
210,221,222,223,226,227,228,229,255,256,257,258,259,260,261,262,263,264,265,
266,267,268,269,272,273,274,275,276,280,281,283,284,285,286,287,288,289,290,
292,293,295,296,298,299,300,301,302,303,304,307,308,309,312,313,314,315,317,
318,321,322,323,324,325,326,329,331,332,333,334,335,336,337,338,340,341,342,
343,345,347,349,350,351,352,353,355,358,362,363,364,365,368,369,371,372,373,
375,376,377,378,379,380,383,384,385,387,388,389,390,392,394,395,396,399,401,
403,404,405,406,407,409,410,412,413,415,416,418,420,421,428,429,435,436,439,
441,442,443,444,446,450,453,454,457,458,461,462,463,464,466,468,469,472,473,
474,475,482,487,488,490,491,496,497,498,500,502,503,504,506,507,513,514,518,
519,520,523,530,532,533,536,538,540,542,545,546,548,555,575,577,578,586,604,
607,610,618,632,634,635,637,643,650,651,652,653,654,656,659,660,676,698,699,
700,701,702,703,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,724,726,728,729,732,733,734,735,736,738,739,740,742,744,745,746,747,748,
749,750,756,758,759,761,762,764,765,766,768,769,771,773,774,779,780,783,784,
785,786,787,788,791,798,799,801,803,804,809,810,814,815,816,817,819,821,825,
826,827,828,832,833,835,839,840,842,846,847,850,857,860,861,866,867,868,870,
873,875,877,878,882,884,889,890,891,892,893,894,895,897,901,932,935,936,938,
942,944,947,952,953,954,955,967,971,972,974,977,979,980,984,988,991,992,993,
994,995,996,999,1000,1003,1005,1007,1010,1021,1022,1025,1026,1030,1031,1032,
1033,1034,1036,1037,1038,1046,1047,1048,1060,1061,1066,1069,1070,1071,1072,
1074,1081,1089,1096,1097,1099,1106,1110,1119,1133,1138,1139,1148,1163,1168,
1169,1173,1175,1181,1201,1203,1204,1205,1206,1207,1208,1209,1212,1214,1215,
1216,1217,1218,1226,1230,1233,1262,1271,1309,1310,1311,1312,1315,1316,1317,
1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1331,1332,1333,
1334,1336,1337,1338,1340,1344,1348,1354,1358,1363,1365,1367,1369,1375,1376,
1377,1383,1384,1387,1395,1397,1398,1402,1403,1404,1408,1417,1418,1419,1420,
1421,1422,1427,1429,1431,1432,1433,1434,1437,1438,1442,1443,1446,1454,1462,
1466,1467,1469,1471,1473,1474,1476,1488,1489,1490,1492,1493,1497,1499,1501,
1502,1505,1512,1529,1534,1545,1553,1567,1568,1573,1583,1588,1592,1594,1602,
1612,1617,1629,1632,1633,1641,1644,1648,1654,1655,1656,1675,1684,1703,1705,
1706,1709,1712,1714,1715,1716,1717,1720,1721,1722,1725,1730,1735,1740,1741,
1742,1743,1748,1749,1751,1752,1753,1754,1805,1806,1807,1808,1810,1811,1815,
1816,1817,1819,1821,1822,1823,1824,1829,1830,1834,1837,1838,1839,1840,1842,
1843,1855,1857,1864,1872,1876,1884,1886,1887,1892,1907,1913,1916,1929,1931,
1933,1934,1942,1945,1954,1956,1976,1984,2006,2009,2018,2020,2023,2038,2040,
2048,2055,2056,2060,2075,2079,2085,2092,2096,2097,2098,2100,2106,2126,2127,
2154,2155,2156,2177,2196,2215,2217,2218,2237],[1,2,3,4,5,7,8,12,13,14,15,16,
17,18,19,20,21,24,26,27,28,29,31,32,34,35,37,38,43,45,46,56,58,66,69,70,71,72,
73,74,75,76,79,81,83,84,85,86,87,88,89,90,91,92,93,94,97,98,99,100,101,102,
103,104,105,106,107,110,113,115,116,117,118,119,121,122,124,125,126,127,128,
129,130,131,132,133,134,136,137,138,139,140,142,144,147,154,155,157,158,159,
160,161,163,164,165,166,170,171,172,173,175,176,177,178,179,180,188,201,206,
210,225,231,237,242,244,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,272,273,274,275,276,280,281,283,284,285,286,287,288,289,290,292,293,
295,296,298,299,300,301,302,303,304,307,308,309,312,313,314,315,317,318,321,
322,323,324,325,326,329,331,332,333,334,335,336,337,338,340,341,342,343,345,
347,349,350,351,352,353,355,358,362,363,364,365,368,369,371,372,373,375,376,
377,378,379,380,383,384,385,387,388,389,390,392,394,395,396,399,401,403,404,
405,406,407,409,410,412,413,415,416,418,420,421,428,429,435,436,439,441,442,
443,444,446,450,453,454,457,458,461,462,463,464,466,468,469,472,473,474,475,
482,487,488,490,491,496,497,498,500,502,503,504,506,507,513,514,518,519,520,
523,530,532,533,536,538,540,542,545,546,548,555,575,577,578,586,604,607,610,
618,636,639,646,648,664,671,673,686,688,691,693,698,699,700,701,702,703,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,724,726,728,729,
732,733,734,735,736,738,739,740,742,744,745,746,747,748,749,750,756,758,759,
761,762,764,765,766,768,769,771,773,774,779,780,783,784,785,786,787,788,791,
798,799,801,803,804,809,810,814,815,816,817,819,821,825,826,827,828,832,833,
835,839,840,842,846,847,850,857,860,861,866,867,868,870,873,875,877,878,882,
884,889,890,891,892,893,894,895,897,901,932,935,936,938,942,944,947,952,953,
954,955,967,971,972,974,977,979,980,984,988,991,992,993,994,995,996,999,1000,
1003,1005,1007,1010,1021,1022,1025,1026,1030,1031,1032,1033,1034,1036,1037,
1038,1046,1047,1048,1060,1061,1066,1069,1070,1071,1072,1074,1081,1089,1096,
1097,1099,1106,1110,1119,1133,1138,1139,1148,1163,1168,1169,1173,1175,1181,
1210,1227,1229,1235,1236,1238,1246,1251,1259,1265,1293,1295,1302,1305,1309,
1310,1311,1312,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,
1327,1328,1329,1331,1332,1333,1334,1336,1337,1338,1340,1344,1348,1354,1358,
1363,1365,1367,1369,1375,1376,1377,1383,1384,1387,1395,1397,1398,1402,1403,
1404,1408,1417,1418,1419,1420,1421,1422,1427,1429,1431,1432,1433,1434,1437,
1438,1442,1443,1446,1454,1462,1466,1467,1469,1471,1473,1474,1476,1488,1489,
1490,1492,1493,1497,1499,1501,1502,1505,1512,1529,1534,1545,1553,1567,1568,
1573,1583,1588,1592,1594,1602,1612,1617,1629,1632,1633,1641,1644,1648,1654,
1655,1656,1675,1684,1704,1744,1767,1782,1791,1800,1805,1806,1807,1808,1810,
1811,1815,1816,1817,1819,1821,1822,1823,1824,1829,1830,1834,1837,1838,1839,
1840,1842,1843,1855,1857,1864,1872,1876,1884,1886,1887,1892,1907,1913,1916,
1929,1931,1933,1934,1942,1945,1954,1956,1976,1984,2008,2011,2014,2017,2041,
2049,2061,2069,2085,2092,2096,2097,2098,2100,2106,2126,2127,2169,2178,2184,
2194,2196,2214,2238],[1,2,3,5,6,8,10,13,14,15,16,17,20,21,22,23,24,27,29,31,
32,34,35,36,40,45,50,53,61,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,
88,89,90,93,95,96,97,98,99,100,101,103,105,106,109,110,111,114,115,121,125,
126,129,132,135,139,141,144,145,147,149,154,157,158,161,163,166,168,171,176,
177,179,188,201,214,218,221,226,227,233,234,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,276,277,278,279,280,282,285,286,287,288,
291,294,295,296,298,299,301,302,304,305,309,311,312,314,315,317,318,319,320,
322,323,324,325,330,331,334,339,346,347,348,353,354,357,358,360,366,367,368,
375,379,380,381,393,394,399,401,405,406,412,417,420,423,427,428,430,431,435,
436,437,441,448,450,451,455,458,463,471,483,487,515,530,540,555,571,573,577,
578,581,586,604,607,610,618,632,634,635,645,647,649,651,659,661,666,668,698,
700,701,702,703,704,705,706,708,709,711,712,713,715,716,717,718,720,721,722,
723,724,725,726,727,728,733,735,738,739,742,744,745,746,747,750,755,758,759,
760,763,765,766,769,770,771,775,776,782,784,787,789,791,792,798,799,802,804,
805,809,810,814,816,817,818,819,821,822,825,826,827,832,835,836,840,847,852,
854,856,868,871,873,874,875,876,879,880,881,899,917,925,930,934,951,953,955,
957,958,968,974,977,983,987,990,991,993,994,995,996,999,1015,1021,1022,1026,
1034,1039,1063,1069,1134,1156,1201,1203,1204,1205,1214,1216,1217,1222,1225,
1234,1237,1239,1242,1250,1264,1309,1310,1311,1312,1313,1314,1315,1316,1317,
1318,1320,1321,1323,1324,1325,1333,1334,1339,1341,1345,1346,1347,1349,1357,
1358,1360,1365,1369,1371,1374,1375,1380,1384,1396,1399,1406,1411,1413,1415,
1418,1419,1422,1424,1433,1434,1437,1444,1447,1452,1453,1454,1455,1459,1460,
1464,1466,1469,1473,1489,1491,1497,1502,1504,1517,1525,1528,1530,1534,1540,
1552,1567,1583,1594,1654,1708,1712,1713,1714,1717,1718,1719,1725,1733,1740,
1750,1751,1764,1804,1808,1809,1810,1814,1823,1824,1826,1827,1828,1831,1833,
1836,1848,1856,1857,1862,1909,1912,1915,1924,1933,1959,1981,2006,2009,2013,
2021,2023,2037,2042,2043,2052,2085,2086,2087,2089,2093,2110,2116,2156,2160,
2179,2197,2215,2219,2220,2239],[1,2,3,5,8,9,12,13,14,15,16,17,20,21,24,25,27,
29,30,31,32,33,34,35,39,41,42,44,45,47,56,58,62,63,67,69,70,71,72,73,74,75,76,
79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,105,106,108,110,112,115,120,
121,123,125,126,129,132,139,143,144,146,147,148,150,151,152,153,154,156,157,
158,161,162,163,166,167,169,171,174,176,177,179,181,182,184,185,188,190,192,
194,195,197,198,201,205,208,209,213,216,217,219,225,231,237,240,243,249,254,
255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,276,280,285,286,
287,288,295,296,297,298,299,301,302,304,306,309,310,312,314,315,316,317,318,
322,323,324,325,327,328,331,334,347,353,356,358,359,361,368,374,375,379,380,
382,386,391,394,399,400,401,402,405,406,411,412,414,420,422,424,426,428,433,
434,435,436,438,441,445,450,456,458,463,465,467,479,487,494,495,501,524,525,
526,529,530,531,534,537,540,543,544,550,553,554,555,563,570,572,577,578,579,
582,584,586,587,588,589,590,591,593,594,595,598,599,600,601,602,603,604,605,
606,607,609,610,611,612,613,615,616,618,619,636,639,646,648,657,658,664,671,
673,675,691,692,698,700,701,702,703,705,706,708,709,711,712,713,715,716,717,
718,720,724,726,728,731,733,735,738,739,741,742,743,744,745,746,747,750,752,
754,758,759,765,766,769,771,772,778,781,784,787,790,791,798,799,800,804,808,
809,810,813,814,816,817,819,821,825,826,827,832,835,838,840,845,847,849,851,
855,858,859,865,868,872,873,875,883,885,888,896,900,902,908,910,914,918,920,
922,923,924,931,937,939,946,953,955,956,963,964,966,970,974,976,977,986,989,
991,993,994,995,996,999,1008,1009,1011,1014,1020,1021,1022,1026,1028,1029,
1034,1041,1045,1052,1053,1057,1059,1062,1069,1073,1076,1090,1095,1098,1100,
1103,1105,1113,1114,1126,1128,1131,1140,1142,1143,1146,1147,1150,1151,1155,
1159,1161,1162,1164,1166,1172,1185,1186,1187,1188,1210,1227,1235,1248,1251,
1252,1268,1276,1278,1279,1288,1289,1293,1297,1300,1304,1305,1307,1309,1310,
1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,1330,1333,1334,1335,
1342,1343,1351,1358,1361,1362,1365,1369,1370,1372,1373,1375,1381,1382,1384,
1386,1389,1391,1401,1405,1409,1410,1418,1419,1422,1426,1433,1434,1435,1437,
1439,1441,1449,1450,1454,1466,1469,1472,1473,1478,1482,1483,1484,1489,1495,
1497,1502,1510,1514,1518,1519,1524,1534,1536,1538,1539,1550,1555,1556,1558,
1564,1567,1575,1578,1579,1581,1583,1587,1589,1590,1593,1594,1595,1596,1597,
1606,1607,1643,1645,1650,1651,1654,1662,1666,1667,1669,1670,1671,1678,1682,
1685,1687,1688,1689,1692,1704,1744,1774,1786,1796,1802,1803,1808,1810,1812,
1813,1818,1820,1823,1824,1825,1832,1835,1841,1845,1853,1854,1857,1861,1863,
1865,1888,1889,1890,1900,1904,1928,1933,1939,1941,1949,1950,1952,1953,1962,
1964,1966,1969,1971,1973,1978,1987,1989,1994,2008,2011,2014,2017,2033,2053,
2061,2062,2069,2070,2085,2091,2094,2095,2099,2107,2114,2130,2138,2142,2145,
2168,2185,2188,2192,2193,2209,2214,2240],[1,2,3,5,6,7,8,10,13,14,15,16,17,20,
21,22,23,24,25,26,27,28,29,30,32,33,36,37,46,50,53,57,61,70,71,73,74,75,76,77,
81,82,84,87,88,90,92,93,94,95,96,101,103,104,105,106,108,109,110,111,114,115,
117,123,124,125,126,127,128,130,131,133,135,138,141,142,143,144,146,147,149,
155,156,158,159,160,162,165,166,168,169,173,175,176,177,178,183,191,221,226,
227,228,229,233,234,256,257,259,263,264,265,266,269,276,279,280,285,286,288,
290,293,296,297,300,301,302,305,307,311,312,314,315,316,319,320,322,325,329,
333,334,336,339,340,342,343,346,349,354,356,357,358,361,363,365,366,371,374,
378,379,381,387,394,395,399,400,402,405,406,410,412,413,414,416,418,420,422,
423,424,426,427,437,439,446,448,455,456,459,460,461,462,463,468,474,475,478,
482,497,504,506,513,515,519,523,527,531,536,538,545,548,553,560,566,568,571,
575,581,585,632,634,641,642,645,650,652,653,659,661,666,668,676,698,700,701,
704,705,707,709,711,712,714,715,717,718,725,727,731,732,733,737,739,741,742,
744,746,748,762,763,766,774,775,780,782,786,787,788,789,794,797,802,804,806,
818,821,826,828,841,851,860,863,865,870,872,875,879,880,884,889,890,896,898,
907,908,911,912,920,923,933,934,937,942,947,949,952,968,971,975,977,978,980,
987,990,992,996,999,1002,1005,1008,1010,1011,1012,1014,1020,1028,1030,1032,
1037,1038,1061,1070,1077,1093,1106,1132,1134,1139,1158,1201,1203,1204,1205,
1207,1209,1216,1217,1218,1222,1225,1226,1230,1243,1244,1250,1253,1254,1256,
1309,1314,1319,1321,1322,1325,1327,1332,1336,1338,1341,1342,1343,1350,1352,
1360,1365,1367,1370,1372,1374,1376,1395,1398,1400,1408,1411,1415,1419,1420,
1425,1429,1431,1432,1433,1438,1439,1449,1450,1452,1453,1455,1463,1464,1465,
1466,1467,1468,1470,1474,1477,1479,1490,1493,1496,1564,1572,1573,1579,1610,
1626,1641,1650,1651,1652,1653,1702,1707,1712,1713,1715,1716,1719,1720,1730,
1733,1735,1740,1743,1749,1750,1751,1752,1753,1765,1808,1809,1812,1817,1826,
1827,1837,1838,1841,1858,1861,1867,1880,1886,1890,1892,1893,1894,1910,1924,
1945,1948,1951,1954,1956,1980,2006,2013,2015,2020,2026,2027,2029,2031,2065,
2075,2087,2090,2097,2105,2114,2118,2119,2155,2156,2160,2176,2203,2218,2219,
2222,2241],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,
29,32,36,38,39,41,42,43,44,47,48,49,50,52,53,57,60,61,64,70,71,73,74,75,76,77,
81,82,83,84,85,87,88,90,91,92,93,94,95,96,101,102,103,104,105,106,107,109,110,
111,112,113,114,115,116,118,119,120,122,125,126,127,128,131,134,135,136,137,
138,140,141,144,147,148,149,150,151,152,153,155,158,164,165,166,167,168,170,
172,174,176,177,181,182,184,185,189,192,193,195,196,197,199,200,202,203,204,
211,215,221,222,223,226,227,228,229,233,234,235,238,246,248,252,256,257,259,
263,264,265,266,269,273,275,276,279,280,284,285,286,288,289,292,296,300,301,
302,303,305,306,307,308,310,311,312,313,314,315,319,320,322,325,327,328,329,
332,333,334,335,337,339,341,344,345,346,350,352,354,357,358,359,362,363,366,
369,370,371,376,377,378,379,381,382,385,386,388,390,391,394,396,397,398,399,
403,404,405,406,408,411,412,415,418,419,420,421,423,425,427,429,432,433,434,
437,438,440,442,444,445,447,448,449,452,455,457,463,464,465,467,469,472,477,
480,489,491,492,493,494,495,499,500,501,508,509,510,511,515,518,520,521,522,
523,526,528,529,533,535,538,539,542,543,544,546,547,550,551,552,556,557,558,
559,561,562,563,564,567,570,571,572,576,579,580,581,584,588,592,593,596,597,
600,606,608,614,617,632,634,637,643,644,645,650,654,655,656,659,660,661,663,
665,666,667,668,670,674,678,680,683,684,685,698,699,700,701,704,705,707,709,
710,711,712,714,715,717,718,725,727,732,733,734,736,739,742,743,744,746,749,
752,756,757,761,763,766,772,773,775,780,781,782,783,785,787,788,789,790,796,
800,801,802,803,804,807,811,818,820,821,824,826,829,830,837,842,844,845,846,
855,867,875,879,880,885,886,887,889,891,892,893,897,901,902,905,909,919,921,
926,928,931,934,940,941,944,946,954,956,959,960,961,962,964,965,966,968,976,
977,979,981,982,984,985,986,987,989,990,996,999,1000,1001,1004,1006,1007,1010,
1013,1016,1017,1019,1023,1024,1027,1029,1031,1033,1035,1040,1042,1044,1047,
1055,1058,1064,1067,1068,1074,1075,1082,1084,1085,1086,1087,1088,1090,1095,
1101,1107,1108,1109,1111,1112,1114,1117,1120,1123,1124,1127,1128,1129,1133,
1134,1135,1137,1143,1146,1147,1154,1159,1161,1162,1165,1171,1175,1176,1178,
1182,1183,1184,1201,1203,1204,1205,1206,1207,1208,1209,1216,1217,1218,1221,
1222,1223,1225,1226,1231,1232,1233,1240,1241,1250,1269,1285,1287,1294,1301,
1303,1309,1314,1321,1322,1325,1326,1328,1329,1330,1331,1335,1337,1338,1340,
1341,1351,1354,1355,1360,1361,1365,1368,1374,1377,1382,1383,1388,1391,1393,
1397,1401,1402,1410,1411,1412,1415,1419,1426,1427,1431,1433,1435,1438,1443,
1446,1452,1453,1455,1456,1458,1461,1464,1466,1471,1472,1476,1481,1482,1485,
1498,1522,1524,1532,1544,1545,1546,1550,1553,1556,1557,1561,1585,1591,1596,
1597,1600,1601,1608,1611,1614,1615,1616,1623,1628,1630,1635,1636,1637,1638,
1640,1642,1646,1647,1648,1655,1661,1663,1664,1666,1669,1673,1674,1679,1680,
1703,1705,1706,1709,1710,1711,1712,1713,1719,1720,1721,1724,1726,1733,1736,
1737,1738,1739,1740,1741,1742,1743,1745,1746,1747,1748,1750,1751,1754,1755,
1785,1797,1806,1808,1809,1815,1818,1821,1825,1826,1827,1834,1838,1839,1866,
1869,1887,1888,1895,1902,1906,1908,1916,1918,1920,1921,1922,1924,1926,1927,
1928,1930,1931,1939,1941,1942,1944,1946,1947,1977,1983,1989,2006,2013,2016,
2018,2028,2030,2032,2047,2067,2068,2073,2076,2078,2079,2087,2092,2101,2107,
2109,2111,2115,2121,2123,2129,2135,2154,2155,2156,2159,2160,2175,2207,2217,
2219,2221,2223,2226,2242],[1,2,3,5,8,9,10,13,14,15,16,17,20,21,24,25,27,29,30,
31,32,33,34,35,39,41,42,44,45,47,50,53,60,64,69,70,71,72,73,74,75,76,79,81,84,
86,87,88,89,90,93,97,98,99,100,101,103,105,106,108,110,112,115,120,121,123,
125,126,129,132,139,143,144,146,147,148,150,151,152,153,154,156,157,158,161,
162,163,166,167,169,171,174,176,177,179,181,182,184,185,188,190,192,194,195,
197,198,201,205,208,209,213,216,217,219,221,226,227,235,238,252,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,276,280,285,286,287,288,295,
296,297,298,299,301,302,304,306,309,310,312,314,315,316,317,318,322,323,324,
325,327,328,331,334,347,353,356,358,359,361,368,374,375,379,380,382,386,391,
394,399,400,401,402,405,406,411,412,414,420,422,424,426,428,433,434,435,436,
438,441,445,450,456,458,463,465,467,479,487,494,495,501,524,525,526,529,530,
531,534,537,540,543,544,550,553,554,555,563,570,572,577,578,579,582,584,586,
587,588,589,590,591,593,594,595,598,599,600,601,602,603,604,605,606,607,609,
610,611,612,613,615,616,618,619,632,634,635,641,642,644,651,655,659,667,680,
698,700,701,702,703,705,706,708,709,711,712,713,715,716,717,718,720,724,726,
728,731,733,735,738,739,741,742,743,744,745,746,747,750,752,754,758,759,765,
766,769,771,772,778,781,784,787,790,791,798,799,800,804,808,809,810,813,814,
816,817,819,821,825,826,827,832,835,838,840,845,847,849,851,855,858,859,865,
868,872,873,875,883,885,888,896,900,902,908,910,914,918,920,922,923,924,931,
937,939,946,953,955,956,963,964,966,970,974,976,977,986,989,991,993,994,995,
996,999,1008,1009,1011,1014,1020,1021,1022,1026,1028,1029,1034,1041,1045,1052,
1053,1057,1059,1062,1069,1073,1076,1090,1095,1098,1100,1103,1105,1113,1114,
1126,1128,1131,1140,1142,1143,1146,1147,1150,1151,1155,1159,1161,1162,1164,
1166,1172,1185,1186,1187,1188,1201,1203,1204,1205,1214,1216,1217,1221,1223,
1231,1253,1260,1272,1275,1277,1303,1309,1310,1311,1312,1315,1316,1317,1318,
1320,1321,1323,1324,1325,1330,1333,1334,1335,1342,1343,1351,1358,1361,1362,
1365,1369,1370,1372,1373,1375,1381,1382,1384,1386,1389,1391,1401,1405,1409,
1410,1418,1419,1422,1426,1433,1434,1435,1437,1439,1441,1449,1450,1454,1466,
1469,1472,1473,1478,1482,1483,1484,1489,1495,1497,1502,1510,1514,1518,1519,
1524,1534,1536,1538,1539,1550,1555,1556,1558,1564,1567,1575,1578,1579,1581,
1583,1587,1589,1590,1593,1594,1595,1596,1597,1606,1607,1643,1645,1650,1651,
1654,1662,1666,1667,1669,1670,1671,1678,1682,1685,1687,1688,1689,1692,1702,
1707,1710,1711,1712,1714,1717,1725,1738,1740,1746,1751,1777,1797,1808,1810,
1812,1813,1818,1820,1823,1824,1825,1832,1835,1841,1845,1853,1854,1857,1861,
1863,1865,1888,1889,1890,1900,1904,1928,1933,1939,1941,1949,1950,1952,1953,
1962,1964,1966,1969,1971,1973,1978,1987,1989,1994,2006,2009,2015,2022,2023,
2028,2039,2044,2045,2065,2078,2085,2091,2094,2095,2099,2107,2114,2130,2138,
2142,2145,2156,2159,2180,2195,2209,2215,2221,2222,2243],[1,2,3,5,7,8,9,10,13,
14,15,16,17,20,21,24,26,27,28,29,32,37,39,40,41,42,44,46,47,50,53,57,60,64,70,
71,73,74,75,76,78,80,81,84,87,88,90,92,93,94,101,103,104,105,106,110,112,115,
117,120,124,125,126,127,128,130,131,133,138,142,144,145,147,148,150,151,152,
153,155,158,159,160,165,166,167,173,174,175,176,177,178,181,182,184,185,192,
195,197,207,212,221,226,227,228,229,235,238,252,256,257,259,263,264,265,266,
269,270,276,280,285,286,288,290,291,293,294,296,300,301,302,306,307,310,312,
314,315,322,325,327,328,329,330,333,334,336,340,342,343,349,358,359,363,365,
367,371,378,379,382,386,387,391,394,395,399,405,406,410,411,412,413,416,417,
418,420,431,433,434,438,439,445,446,461,462,463,465,467,468,474,475,482,484,
494,495,497,501,504,506,513,516,517,519,523,526,529,536,538,543,544,545,548,
549,550,563,565,569,570,572,574,575,579,583,584,588,593,600,606,632,634,644,
647,649,650,652,653,655,659,667,676,680,698,700,701,705,707,709,711,712,714,
715,717,718,721,722,732,733,739,742,743,744,746,748,751,752,755,762,766,767,
772,774,776,780,781,786,787,788,790,793,800,804,812,821,826,828,834,845,848,
853,855,860,862,870,874,875,884,885,889,890,902,903,913,915,927,929,930,931,
942,943,945,946,947,952,956,957,964,966,971,973,976,977,980,986,989,992,996,
999,1005,1010,1029,1030,1032,1037,1038,1049,1061,1070,1079,1090,1095,1106,
1114,1128,1130,1139,1143,1146,1147,1159,1161,1162,1170,1201,1203,1204,1205,
1207,1209,1216,1217,1218,1221,1223,1226,1230,1231,1234,1257,1261,1273,1280,
1303,1309,1313,1319,1321,1322,1325,1327,1330,1332,1335,1336,1338,1339,1351,
1357,1361,1365,1366,1367,1376,1380,1382,1390,1391,1394,1395,1398,1399,1401,
1408,1410,1413,1414,1419,1420,1426,1428,1429,1431,1432,1433,1435,1438,1440,
1445,1448,1466,1467,1472,1474,1482,1490,1493,1503,1513,1523,1524,1537,1543,
1550,1556,1573,1596,1597,1639,1641,1649,1658,1666,1669,1708,1710,1711,1712,
1715,1716,1718,1720,1730,1735,1738,1740,1743,1746,1749,1751,1752,1753,1772,
1797,1808,1814,1817,1818,1825,1833,1837,1838,1844,1846,1852,1875,1886,1888,
1892,1896,1898,1899,1928,1939,1941,1943,1945,1954,1956,1979,1989,2006,2020,
2021,2025,2028,2036,2046,2050,2075,2078,2086,2088,2097,2104,2107,2108,2113,
2155,2156,2159,2186,2208,2218,2220,2221,2244],[1,2,3,4,5,7,8,10,13,14,15,16,
17,18,19,20,21,24,25,26,27,28,29,30,32,33,38,40,43,50,52,53,57,70,71,73,74,75,
76,78,80,81,83,84,85,87,88,90,91,92,93,94,101,102,103,104,105,106,107,108,110,
113,115,116,118,119,122,123,125,126,127,128,131,134,136,137,138,140,143,144,
145,146,147,155,156,158,162,164,165,166,169,170,172,176,177,186,187,221,222,
223,226,227,228,229,256,257,259,263,264,265,266,269,270,273,275,276,280,284,
285,286,288,289,291,292,294,296,297,300,301,302,303,307,308,312,313,314,315,
316,322,325,329,330,332,333,334,335,337,341,345,350,352,356,358,361,362,363,
367,369,371,374,376,377,378,379,385,388,390,394,396,399,400,402,403,404,405,
406,412,414,415,417,418,420,421,422,424,426,429,431,442,444,456,457,463,464,
469,470,472,476,481,485,486,491,500,505,512,518,520,523,531,533,538,541,542,
546,553,632,634,637,641,642,643,647,649,650,654,656,659,660,698,699,700,701,
705,707,709,710,711,712,714,715,717,718,721,722,730,731,732,733,734,736,739,
741,742,744,746,749,753,755,756,761,766,773,776,777,780,783,785,787,788,795,
801,803,804,821,823,826,831,842,843,846,851,864,865,867,869,872,874,875,889,
891,892,893,896,897,901,904,906,908,916,920,923,930,937,944,948,950,954,957,
969,977,979,984,996,997,998,999,1000,1007,1008,1010,1011,1014,1018,1020,1028,
1031,1033,1047,1054,1074,1118,1133,1175,1201,1203,1204,1205,1206,1207,1208,
1209,1216,1217,1218,1226,1233,1234,1247,1253,1255,1263,1274,1309,1313,1321,
1322,1325,1326,1328,1329,1331,1337,1338,1339,1340,1342,1343,1354,1357,1365,
1370,1372,1377,1378,1379,1380,1383,1392,1397,1399,1402,1407,1413,1416,1419,
1423,1427,1430,1431,1433,1438,1439,1443,1446,1449,1450,1457,1466,1471,1476,
1531,1541,1545,1553,1562,1564,1566,1574,1577,1579,1584,1618,1648,1650,1651,
1655,1702,1703,1705,1706,1707,1708,1709,1712,1718,1720,1721,1740,1741,1742,
1743,1748,1751,1754,1784,1806,1808,1812,1814,1815,1821,1833,1834,1838,1839,
1841,1861,1871,1873,1874,1887,1890,1897,1911,1916,1931,1938,1942,1955,1960,
2006,2015,2018,2019,2021,2024,2034,2035,2065,2079,2086,2092,2102,2103,2112,
2114,2117,2154,2155,2156,2164,2210,2217,2220,2222,2245],[1,2,3,5,8,9,11,13,14,
15,16,17,20,21,24,25,27,29,30,31,32,33,34,35,39,41,42,44,45,47,51,54,55,65,68,
69,70,71,72,73,74,75,76,79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,105,
106,108,110,112,115,120,121,123,125,126,129,132,139,143,144,146,147,148,150,
151,152,153,154,156,157,158,161,162,163,166,167,169,171,174,176,177,179,181,
182,184,185,188,190,192,194,195,197,198,201,205,208,209,213,216,217,219,224,
236,239,241,245,247,253,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,276,280,285,286,287,288,295,296,297,298,299,301,302,304,306,309,310,
312,314,315,316,317,318,322,323,324,325,327,328,331,334,347,353,356,358,359,
361,368,374,375,379,380,382,386,391,394,399,400,401,402,405,406,411,412,414,
420,422,424,426,428,433,434,435,436,438,441,445,450,456,458,463,465,467,479,
487,494,495,501,524,525,526,529,530,531,534,537,540,543,544,550,553,554,555,
563,570,572,577,578,579,582,584,586,587,588,589,590,591,593,594,595,598,599,
600,601,602,603,604,605,606,607,609,610,611,612,613,615,616,618,619,631,633,
638,640,669,677,679,681,682,687,689,690,698,700,701,702,703,705,706,708,709,
711,712,713,715,716,717,718,720,724,726,728,731,733,735,738,739,741,742,743,
744,745,746,747,750,752,754,758,759,765,766,769,771,772,778,781,784,787,790,
791,798,799,800,804,808,809,810,813,814,816,817,819,821,825,826,827,832,835,
838,840,845,847,849,851,855,858,859,865,868,872,873,875,883,885,888,896,900,
902,908,910,914,918,920,922,923,924,931,937,939,946,953,955,956,963,964,966,
970,974,976,977,986,989,991,993,994,995,996,999,1008,1009,1011,1014,1020,1021,
1022,1026,1028,1029,1034,1041,1045,1052,1053,1057,1059,1062,1069,1073,1076,
1090,1095,1098,1100,1103,1105,1113,1114,1126,1128,1131,1140,1142,1143,1146,
1147,1150,1151,1155,1159,1161,1162,1164,1166,1172,1185,1186,1187,1188,1200,
1202,1219,1220,1224,1228,1245,1258,1267,1281,1284,1286,1291,1292,1296,1298,
1299,1306,1309,1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,
1330,1333,1334,1335,1342,1343,1351,1358,1361,1362,1365,1369,1370,1372,1373,
1375,1381,1382,1384,1386,1389,1391,1401,1405,1409,1410,1418,1419,1422,1426,
1433,1434,1435,1437,1439,1441,1449,1450,1454,1466,1469,1472,1473,1478,1482,
1483,1484,1489,1495,1497,1502,1510,1514,1518,1519,1524,1534,1536,1538,1539,
1550,1555,1556,1558,1564,1567,1575,1578,1579,1581,1583,1587,1589,1590,1593,
1594,1595,1596,1597,1606,1607,1643,1645,1650,1651,1654,1662,1666,1667,1669,
1670,1671,1678,1682,1685,1687,1688,1689,1692,1727,1728,1729,1731,1732,1734,
1756,1757,1758,1766,1769,1770,1787,1788,1799,1801,1808,1810,1812,1813,1818,
1820,1823,1824,1825,1832,1835,1841,1845,1853,1854,1857,1861,1863,1865,1888,
1889,1890,1900,1904,1928,1933,1939,1941,1949,1950,1952,1953,1962,1964,1966,
1969,1971,1973,1978,1987,1989,1994,2007,2010,2012,2057,2058,2059,2063,2064,
2066,2071,2072,2074,2077,2080,2085,2091,2094,2095,2099,2107,2114,2130,2138,
2142,2145,2158,2172,2189,2190,2191,2209,2216,2224,2225,2246],[1,2,3,5,8,10,11,
12,13,14,15,16,17,20,21,24,27,29,31,32,34,35,45,50,51,53,54,55,56,58,69,70,71,
72,73,74,75,76,79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,105,106,110,
115,121,125,126,129,132,139,144,147,154,157,158,161,163,166,171,176,177,179,
188,201,220,221,224,225,226,227,231,236,237,239,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,276,280,285,286,287,288,295,296,298,299,301,
302,304,309,312,314,315,317,318,322,323,324,325,331,334,347,353,358,368,375,
379,380,394,399,401,405,406,412,420,428,435,436,441,450,458,463,487,530,540,
555,577,578,586,604,607,610,618,624,630,631,632,633,634,635,636,638,639,640,
646,648,651,659,664,669,671,673,681,691,698,700,701,702,703,705,706,708,709,
711,712,713,715,716,717,718,720,724,726,728,733,735,738,739,742,744,745,746,
747,750,758,759,765,766,769,771,784,787,791,798,799,804,809,810,814,816,817,
819,821,825,826,827,832,835,840,847,868,873,875,953,955,974,977,991,993,994,
995,996,999,1021,1022,1026,1034,1069,1194,1200,1201,1202,1203,1204,1205,1210,
1214,1216,1217,1219,1220,1224,1227,1228,1235,1245,1251,1258,1293,1305,1309,
1310,1311,1312,1315,1316,1317,1318,1320,1321,1323,1324,1325,1333,1334,1358,
1365,1369,1375,1384,1418,1419,1422,1433,1434,1437,1454,1466,1469,1473,1489,
1497,1502,1534,1567,1583,1594,1654,1693,1694,1704,1712,1714,1717,1725,1729,
1734,1740,1744,1751,1756,1757,1758,1770,1788,1808,1810,1823,1824,1857,1933,
1995,2004,2006,2007,2008,2009,2010,2011,2012,2014,2017,2023,2061,2066,2069,
2085,2156,2158,2211,2212,2214,2215,2216,2247],[1,2,3,4,6,9,10,11,12,13,16,17,
18,19,20,22,23,39,47,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,
70,73,74,76,81,83,84,85,91,96,112,113,114,118,120,135,141,151,153,168,174,181,
192,195,196,200,203,204,220,221,222,223,224,230,231,232,233,234,235,236,238,
239,240,241,242,243,244,245,246,247,249,250,251,252,253,254,256,257,259,263,
273,275,289,296,303,319,320,328,344,366,370,377,396,397,408,411,427,452,480,
492,521,522,526,535,543,544,550,552,558,559,562,567,571,572,580,581,584,592,
600,606,624,625,626,627,628,629,630,631,632,634,637,639,640,646,662,668,669,
670,674,677,678,679,680,681,682,684,687,689,690,692,693,694,695,696,697,699,
701,704,710,715,743,749,781,782,785,829,844,879,880,886,976,982,986,1016,1017,
1019,1023,1029,1035,1042,1044,1064,1067,1068,1123,1143,1146,1171,1189,1190,
1191,1192,1193,1194,1195,1196,1197,1198,1199,1201,1202,1204,1206,1208,1221,
1222,1223,1225,1227,1228,1238,1249,1251,1252,1265,1279,1282,1284,1286,1287,
1288,1291,1296,1298,1299,1303,1306,1307,1308,1309,1326,1329,1374,1415,1435,
1472,1522,1591,1596,1600,1628,1642,1664,1669,1694,1695,1696,1697,1698,1699,
1700,1701,1721,1724,1733,1738,1739,1745,1755,1756,1762,1767,1773,1775,1778,
1786,1792,1797,1799,1801,1803,1806,1809,1902,1921,1927,1939,1946,2002,2003,
2004,2005,2006,2008,2012,2071,2076,2080,2081,2123,2153,2154,2157,2159,2160,
2184,2185,2191,2211,2223,2230,2232,2233,2234,2248],[1,2,3,4,5,6,7,8,9,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,56,58,59,62,63,66,67,69,70,71,72,73,74,75,76,77,
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,
217,218,219,225,230,231,232,237,240,242,243,244,249,250,251,254,255,256,257,
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,
619,620,621,622,623,636,639,646,648,657,658,662,664,671,672,673,675,686,688,
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,
1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1210,1211,
1213,1227,1229,1235,1236,1238,1246,1248,1249,1251,1252,1259,1265,1266,1268,
1270,1276,1278,1279,1282,1283,1288,1289,1290,1293,1295,1297,1300,1302,1304,
1305,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,
1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,
1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,
1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,
1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,
1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,
1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,
1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,
1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,
1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,
1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,
1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,
1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,
1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,
1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,
1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,
1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,
1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,
1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,
1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,
1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,
1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1704,1723,1744,
1762,1767,1768,1771,1773,1774,1775,1776,1778,1779,1780,1781,1782,1786,1789,
1791,1792,1793,1795,1796,1800,1802,1803,1804,1805,1806,1807,1808,1809,1810,
1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,
1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,
1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,
1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,
1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,
1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,
1901,1902,1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,
1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,
1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,
1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,
1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,
1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,
1991,1992,1993,1994,2008,2011,2014,2017,2033,2041,2049,2051,2053,2054,2061,
2062,2069,2070,2081,2082,2083,2085,2086,2087,2088,2089,2090,2091,2092,2093,
2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,
2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,
2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,
2139,2140,2141,2142,2143,2144,2145,2157,2161,2163,2165,2166,2167,2168,2169,
2178,2184,2185,2187,2188,2192,2193,2194,2196,2197,2198,2199,2200,2201,2202,
2203,2204,2205,2206,2207,2208,2209,2210,2214,2228,2229,2230,2231,2236,2238,
2240,2249],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,57,
60,61,64,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
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,
208,209,210,211,212,213,214,215,216,217,218,219,221,222,223,226,227,228,229,
233,234,235,238,246,248,252,255,256,257,258,259,260,261,262,263,264,265,266,
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,
609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,632,634,635,637,
641,642,643,644,645,647,649,650,651,652,653,654,655,656,659,660,661,663,665,
666,667,668,670,674,676,678,680,683,684,685,698,699,700,701,702,703,704,705,
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,
1188,1201,1203,1204,1205,1206,1207,1208,1209,1212,1214,1215,1216,1217,1218,
1221,1222,1223,1225,1226,1230,1231,1232,1233,1234,1237,1239,1240,1241,1242,
1243,1244,1247,1250,1253,1254,1255,1256,1257,1260,1261,1262,1263,1264,1269,
1271,1272,1273,1274,1275,1277,1280,1285,1287,1294,1301,1303,1309,1310,1311,
1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,
1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,
1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,
1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,
1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,
1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,
1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,
1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,
1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,
1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,
1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,
1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,
1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,
1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,
1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,
1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,
1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,
1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,
1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1689,1690,1691,1692,1702,1703,1705,1706,1707,1708,1709,1710,1711,
1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1724,1725,1726,1730,
1733,1735,1736,1737,1738,1739,1740,1741,1742,1743,1745,1746,1747,1748,1749,
1750,1751,1752,1753,1754,1755,1759,1760,1761,1763,1764,1765,1772,1777,1783,
1784,1785,1790,1794,1797,1798,1804,1805,1806,1807,1808,1809,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,
1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,
1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,
1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,
1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,
1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,
1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,
1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,
1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,
1993,1994,2006,2009,2013,2015,2016,2018,2019,2020,2021,2022,2023,2024,2025,
2026,2027,2028,2029,2030,2031,2032,2034,2035,2036,2037,2038,2039,2040,2042,
2043,2044,2045,2046,2047,2048,2050,2052,2055,2056,2060,2065,2067,2068,2073,
2075,2076,2078,2079,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,
2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,
2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,
2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,
2140,2141,2142,2143,2144,2145,2154,2155,2156,2159,2160,2162,2164,2170,2171,
2173,2174,2175,2176,2177,2179,2180,2181,2182,2183,2186,2195,2196,2197,2198,
2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2215,2217,2218,
2219,2220,2221,2222,2223,2226,2227,2231,2237,2239,2241,2242,2243,2244,2245,
2250],[1,2,3,5,6,8,10,11,12,13,14,15,16,17,20,21,22,23,24,27,29,31,32,34,35,
36,40,45,50,51,53,54,55,56,58,59,61,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
84,86,87,88,89,90,93,95,96,97,98,99,100,101,103,105,106,109,110,111,114,115,
121,125,126,129,132,135,139,141,144,145,147,149,154,157,158,161,163,166,168,
171,176,177,179,188,201,214,218,220,221,224,225,226,227,230,231,232,233,234,
236,237,239,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,276,277,278,279,280,282,285,286,287,288,291,294,295,296,298,299,301,302,
304,305,309,311,312,314,315,317,318,319,320,322,323,324,325,330,331,334,339,
346,347,348,353,354,357,358,360,366,367,368,375,379,380,381,393,394,399,401,
405,406,412,417,420,423,427,428,430,431,435,436,437,441,448,450,451,455,458,
463,471,483,487,515,530,540,555,571,573,577,578,581,586,604,607,610,618,624,
627,630,631,632,633,634,635,636,638,639,640,645,646,647,648,649,651,659,661,
662,664,666,668,669,671,672,673,681,691,698,700,701,702,703,704,705,706,708,
709,711,712,713,715,716,717,718,720,721,722,723,724,725,726,727,728,733,735,
738,739,742,744,745,746,747,750,755,758,759,760,763,765,766,769,770,771,775,
776,782,784,787,789,791,792,798,799,802,804,805,809,810,814,816,817,818,819,
821,822,825,826,827,832,835,836,840,847,852,854,856,868,871,873,874,875,876,
879,880,881,899,917,925,930,934,951,953,955,957,958,968,974,977,983,987,990,
991,993,994,995,996,999,1015,1021,1022,1026,1034,1039,1063,1069,1134,1156,
1189,1194,1195,1200,1201,1202,1203,1204,1205,1210,1211,1213,1214,1216,1217,
1219,1220,1222,1224,1225,1227,1228,1234,1235,1237,1239,1242,1245,1249,1250,
1251,1258,1264,1266,1270,1282,1293,1305,1309,1310,1311,1312,1313,1314,1315,
1316,1317,1318,1320,1321,1323,1324,1325,1333,1334,1339,1341,1345,1346,1347,
1349,1357,1358,1360,1365,1369,1371,1374,1375,1380,1384,1396,1399,1406,1411,
1413,1415,1418,1419,1422,1424,1433,1434,1437,1444,1447,1452,1453,1454,1455,
1459,1460,1464,1466,1469,1473,1489,1491,1497,1502,1504,1517,1525,1528,1530,
1534,1540,1552,1567,1583,1594,1654,1693,1694,1695,1704,1708,1712,1713,1714,
1717,1718,1719,1723,1725,1729,1733,1734,1740,1744,1750,1751,1756,1757,1758,
1764,1770,1779,1788,1792,1804,1808,1809,1810,1814,1823,1824,1826,1827,1828,
1831,1833,1836,1848,1856,1857,1862,1909,1912,1915,1924,1933,1959,1981,1995,
1996,2000,2004,2006,2007,2008,2009,2010,2011,2012,2013,2014,2017,2021,2023,
2037,2042,2043,2051,2052,2054,2061,2066,2069,2085,2086,2087,2089,2093,2110,
2116,2146,2156,2157,2158,2160,2167,2179,2187,2197,2211,2212,2214,2215,2216,
2219,2220,2234,2236,2239,2247,2251],[1,2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,
19,20,21,24,26,27,28,29,31,32,34,35,37,38,43,45,46,50,51,52,53,54,55,56,57,58,
66,69,70,71,72,73,74,75,76,79,81,83,84,85,86,87,88,89,90,91,92,93,94,97,98,99,
100,101,102,103,104,105,106,107,110,113,115,116,117,118,119,121,122,124,125,
126,127,128,129,130,131,132,133,134,136,137,138,139,140,142,144,147,154,155,
157,158,159,160,161,163,164,165,166,170,171,172,173,175,176,177,178,179,180,
188,201,206,210,220,221,222,223,224,225,226,227,228,229,231,236,237,239,242,
244,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,272,273,274,
275,276,280,281,283,284,285,286,287,288,289,290,292,293,295,296,298,299,300,
301,302,303,304,307,308,309,312,313,314,315,317,318,321,322,323,324,325,326,
329,331,332,333,334,335,336,337,338,340,341,342,343,345,347,349,350,351,352,
353,355,358,362,363,364,365,368,369,371,372,373,375,376,377,378,379,380,383,
384,385,387,388,389,390,392,394,395,396,399,401,403,404,405,406,407,409,410,
412,413,415,416,418,420,421,428,429,435,436,439,441,442,443,444,446,450,453,
454,457,458,461,462,463,464,466,468,469,472,473,474,475,482,487,488,490,491,
496,497,498,500,502,503,504,506,507,513,514,518,519,520,523,530,532,533,536,
538,540,542,545,546,548,555,575,577,578,586,604,607,610,618,624,628,630,631,
632,633,634,635,636,637,638,639,640,643,646,648,650,651,652,653,654,656,659,
660,664,669,671,673,676,681,686,688,691,693,698,699,700,701,702,703,705,706,
707,708,709,710,711,712,713,714,715,716,717,718,719,720,724,726,728,729,732,
733,734,735,736,738,739,740,742,744,745,746,747,748,749,750,756,758,759,761,
762,764,765,766,768,769,771,773,774,779,780,783,784,785,786,787,788,791,798,
799,801,803,804,809,810,814,815,816,817,819,821,825,826,827,828,832,833,835,
839,840,842,846,847,850,857,860,861,866,867,868,870,873,875,877,878,882,884,
889,890,891,892,893,894,895,897,901,932,935,936,938,942,944,947,952,953,954,
955,967,971,972,974,977,979,980,984,988,991,992,993,994,995,996,999,1000,1003,
1005,1007,1010,1021,1022,1025,1026,1030,1031,1032,1033,1034,1036,1037,1038,
1046,1047,1048,1060,1061,1066,1069,1070,1071,1072,1074,1081,1089,1096,1097,
1099,1106,1110,1119,1133,1138,1139,1148,1163,1168,1169,1173,1175,1181,1192,
1193,1194,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1212,1214,
1215,1216,1217,1218,1219,1220,1224,1226,1227,1228,1229,1230,1233,1235,1236,
1238,1245,1246,1251,1258,1259,1262,1265,1271,1293,1295,1302,1305,1309,1310,
1311,1312,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,
1328,1329,1331,1332,1333,1334,1336,1337,1338,1340,1344,1348,1354,1358,1363,
1365,1367,1369,1375,1376,1377,1383,1384,1387,1395,1397,1398,1402,1403,1404,
1408,1417,1418,1419,1420,1421,1422,1427,1429,1431,1432,1433,1434,1437,1438,
1442,1443,1446,1454,1462,1466,1467,1469,1471,1473,1474,1476,1488,1489,1490,
1492,1493,1497,1499,1501,1502,1505,1512,1529,1534,1545,1553,1567,1568,1573,
1583,1588,1592,1594,1602,1612,1617,1629,1632,1633,1641,1644,1648,1654,1655,
1656,1675,1684,1693,1694,1696,1703,1704,1705,1706,1709,1712,1714,1715,1716,
1717,1720,1721,1722,1725,1729,1730,1734,1735,1740,1741,1742,1743,1744,1748,
1749,1751,1752,1753,1754,1756,1757,1758,1767,1770,1782,1788,1791,1800,1805,
1806,1807,1808,1810,1811,1815,1816,1817,1819,1821,1822,1823,1824,1829,1830,
1834,1837,1838,1839,1840,1842,1843,1855,1857,1864,1872,1876,1884,1886,1887,
1892,1907,1913,1916,1929,1931,1933,1934,1942,1945,1954,1956,1976,1984,1995,
1999,2001,2004,2006,2007,2008,2009,2010,2011,2012,2014,2017,2018,2020,2023,
2038,2040,2041,2048,2049,2055,2056,2060,2061,2066,2069,2075,2079,2085,2092,
2096,2097,2098,2100,2106,2126,2127,2148,2154,2155,2156,2158,2169,2177,2178,
2184,2194,2196,2211,2212,2214,2215,2216,2217,2218,2233,2237,2238,2247,2252],[
1,2,3,5,8,9,10,11,12,13,14,15,16,17,20,21,24,25,27,29,30,31,32,33,34,35,39,41,
42,44,45,47,50,51,53,54,55,56,58,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,
79,81,84,86,87,88,89,90,93,97,98,99,100,101,103,105,106,108,110,112,115,120,
121,123,125,126,129,132,139,143,144,146,147,148,150,151,152,153,154,156,157,
158,161,162,163,166,167,169,171,174,176,177,179,181,182,184,185,188,190,192,
194,195,197,198,201,205,208,209,213,216,217,219,220,221,224,225,226,227,231,
235,236,237,238,239,240,241,243,245,247,249,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,276,280,285,286,287,288,295,296,297,
298,299,301,302,304,306,309,310,312,314,315,316,317,318,322,323,324,325,327,
328,331,334,347,353,356,358,359,361,368,374,375,379,380,382,386,391,394,399,
400,401,402,405,406,411,412,414,420,422,424,426,428,433,434,435,436,438,441,
445,450,456,458,463,465,467,479,487,494,495,501,524,525,526,529,530,531,534,
537,540,543,544,550,553,554,555,563,570,572,577,578,579,582,584,586,587,588,
589,590,591,593,594,595,598,599,600,601,602,603,604,605,606,607,609,610,611,
612,613,615,616,618,619,624,625,626,629,630,631,632,633,634,635,636,638,639,
640,641,642,644,646,648,651,655,657,658,659,664,667,669,671,673,675,677,679,
680,681,682,687,689,690,691,692,698,700,701,702,703,705,706,708,709,711,712,
713,715,716,717,718,720,724,726,728,731,733,735,738,739,741,742,743,744,745,
746,747,750,752,754,758,759,765,766,769,771,772,778,781,784,787,790,791,798,
799,800,804,808,809,810,813,814,816,817,819,821,825,826,827,832,835,838,840,
845,847,849,851,855,858,859,865,868,872,873,875,883,885,888,896,900,902,908,
910,914,918,920,922,923,924,931,937,939,946,953,955,956,963,964,966,970,974,
976,977,986,989,991,993,994,995,996,999,1008,1009,1011,1014,1020,1021,1022,
1026,1028,1029,1034,1041,1045,1052,1053,1057,1059,1062,1069,1073,1076,1090,
1095,1098,1100,1103,1105,1113,1114,1126,1128,1131,1140,1142,1143,1146,1147,
1150,1151,1155,1159,1161,1162,1164,1166,1172,1185,1186,1187,1188,1190,1191,
1194,1196,1197,1200,1201,1202,1203,1204,1205,1210,1214,1216,1217,1219,1220,
1221,1223,1224,1227,1228,1231,1235,1245,1248,1251,1252,1253,1258,1260,1267,
1268,1272,1275,1276,1277,1278,1279,1281,1284,1286,1288,1289,1291,1292,1293,
1296,1297,1298,1299,1300,1303,1304,1305,1306,1307,1309,1310,1311,1312,1315,
1316,1317,1318,1320,1321,1323,1324,1325,1330,1333,1334,1335,1342,1343,1351,
1358,1361,1362,1365,1369,1370,1372,1373,1375,1381,1382,1384,1386,1389,1391,
1401,1405,1409,1410,1418,1419,1422,1426,1433,1434,1435,1437,1439,1441,1449,
1450,1454,1466,1469,1472,1473,1478,1482,1483,1484,1489,1495,1497,1502,1510,
1514,1518,1519,1524,1534,1536,1538,1539,1550,1555,1556,1558,1564,1567,1575,
1578,1579,1581,1583,1587,1589,1590,1593,1594,1595,1596,1597,1606,1607,1643,
1645,1650,1651,1654,1662,1666,1667,1669,1670,1671,1678,1682,1685,1687,1688,
1689,1692,1693,1694,1700,1702,1704,1707,1710,1711,1712,1714,1717,1725,1727,
1728,1729,1731,1732,1734,1738,1740,1744,1746,1751,1756,1757,1758,1766,1769,
1770,1774,1777,1786,1787,1788,1796,1797,1799,1801,1802,1803,1808,1810,1812,
1813,1818,1820,1823,1824,1825,1832,1835,1841,1845,1853,1854,1857,1861,1863,
1865,1888,1889,1890,1900,1904,1928,1933,1939,1941,1949,1950,1952,1953,1962,
1964,1966,1969,1971,1973,1978,1987,1989,1994,1995,1997,1998,2002,2003,2004,
2006,2007,2008,2009,2010,2011,2012,2014,2015,2017,2022,2023,2028,2033,2039,
2044,2045,2053,2057,2058,2059,2061,2062,2063,2064,2065,2066,2069,2070,2071,
2072,2074,2077,2078,2080,2085,2091,2094,2095,2099,2107,2114,2130,2138,2142,
2145,2152,2153,2156,2158,2159,2168,2172,2180,2185,2188,2189,2190,2191,2192,
2193,2195,2209,2211,2212,2214,2215,2216,2221,2222,2224,2225,2232,2235,2240,
2243,2246,2247,2253],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,
404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,
442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,
461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,
480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,
518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,
556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,
594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,
632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,
651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,
670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,
708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,
841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,
860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,
879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,
936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,
955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,
993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,
1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,
1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,
1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,
1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,
1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,
1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,
1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,
1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,
1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,
1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,
1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,
1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,
1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,
1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,
1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,
1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,
1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,
1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,
1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,
1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,
1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,
1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,
1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,
1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,
1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,
1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,
1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,
1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,
1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,
1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,
1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,
1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,
1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,
1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,
1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,
1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,
1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,
1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,
1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,
1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,
1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,
1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,
1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,
1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,
1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,
1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,
1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,
1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,
1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,
1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,
1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,
1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,1905,1906,1907,1908,1909,
1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,
1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,
1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,
1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,
1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,
1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,
2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,
2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,
2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,
2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,
2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,
2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,
2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,
2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,
2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,
2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,
2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,
2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,
2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,
2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,
2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,
2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,
2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254]],
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,
2,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,
2,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,
3,1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,
2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,
1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,
1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,3,1],[1,
1,3,1],[1,1,2,1,1,1,1],[1,1,2,1,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,2,4,1,2,4,
1],[1,1,2,1,2,1],[1,1,1,2,1],[1,1,1,1],[1,1,6,3,4,1],[1,1,1,1],[1,1,3,1],[1,1,
4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,3,1],[1,1,2,1,1],[1,1,4,1,2,1],[1,1,2,4,1,2,4,
1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,4,2,1,1],[1,1,1,2,1],[1,
1,2,1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,1],[1,1,6,3,
4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,2,1,1,1,1],[1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,
1,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,1,1,1,1],[1,
1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,2,
1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,
1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,1,1,2,1],[1,1,2,1,
1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,1,
4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,1,2,1,1,1,1],[
1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,6,3,4,1],[1,1,2,
1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,
1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,4,
1,2,2,2,1],[1,1,4,1,2,1],[1,1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,2,4,1,2,4,1],[1,
1,1,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,2,1,1,1,4,1],[
1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,1,1],[1,1,2,
2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,4,2,2,1,4,1],[1,1,2,4,1,2,4,
1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1],[1,1,2,4,1,
2,4,1],[1,1,3,3,1,3,3,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,
4,1,2,2,2,1],[1,1,4,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,2,1],[
1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,1,2,2,
1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,
1,1,1,4,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,3,3,1,3,3,
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],[1,1,1,3,2,1,1,1,2,2,
1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,2,1,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,6,1,3,1,
2,1],[1,1,2,1,1,1,1,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,3,1,
1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,
1,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,
3,1,2,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,
1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,
1,6,1,3,1,1,1,1],[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],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,
1,1,1],[1,1,2,1,3,3,1,3,3,1],[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],[1,1,2,1,6,3,4,1],[1,1,2,12,1,6,12,16,3,4,8,1],[1,1,2,1,
6,3,4,1],[1,1,2,1,6,3,4,1],[1,1,2,1,2,2,2,2,1,1],[1,1,2,8,1,2,4,8,1,2,4,1],[1,
1,2,8,1,2,4,8,2,1,4,1],[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,
2,4,8,1,2,4,4,8,16,1,2,4,8,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,2,1,1,1,
1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,2,6,6,1,3,3,4,12,12,1,3,3,8,1],[1,1,6,3,1,3,
1,3,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,2,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[
1,1,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,2,1],[1,1,6,1,
3,3,1,3,3,1],[1,1,2,3,1,3,1,3,3,1],[1,1,4,2,1,2,1,1,1,1],[1,1,6,3,1,3,1,3,3,
1],[1,1,2,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,1,1,1,4,
1,2,1],[1,1,2,8,1,4,2,8,2,1,4,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,1,2,1],[1,1,2,
8,1,1,1,4,8,1,2,2,2,1],[1,1,2,1,1,1,2,1,1],[1,1,2,4,1,2,1,1,2,1,1,1,2,2,1],[1,
1,2,1,1,1,4,1,2,2,2,1],[1,1,2,1,1,1,2,1,1],[1,1,2,4,8,1,2,4,4,8,16,1,2,4,4,4,
1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,4,2,1,1,1,2,1,1,1,2,2,
1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,1,2,
4,1],[1,1,2,1,1,1,1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1,2,1,1,2,1],[1,1,2,8,1,2,4,
8,2,1,4,1],[1,1,2,1,1,1,4,2,1,2,2,1],[1,1,2,1,1,1,1,2,1],[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],[1,1,2,4,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,1,2,
1,1,1,1,2,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,1],[
1,1,4,2,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,2,4,4,1,
2,2,4,2,4,1,1,1,4,1],[1,1,2,1,1,1,2,2,1,2,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,4,3,
1,1,2,1,1,1,2,2,1],[1,1,2,3,1,3,1,3,3,1],[1,1,6,3,3,1,1,3,3,1],[1,1,6,1,3,3,4,
1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,
1,6,1,3,3,1,3,3,1],[1,1,2,6,6,1,3,3,4,12,12,1,3,3,8,1],[1,1,2,8,1,1,1,4,4,4,1,
2,2,2,1],[1,1,2,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,1,4,1,2,
1],[1,1,2,8,1,1,1,4,8,2,1,2,2,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,1,2,2,1],[1,1,2,3,
3,1,1,1,2,1,2,1],[1,1,2,4,1,3,1,2,1,1,2,1,2,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,2,1,2,1],[1,1,2,1,2,1,2,1,1,1,2,1,2,1],[
1,1,2,4,2,1,1,1,2,1,2,1,1,2,1],[1,1,2,1,1,1,1,2,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,
2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,2,1,1,4,1,8,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,
4,1,1,1,2,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,4,1,1,1,2,
2,4,1,2,1,1,2,1],[1,1,6,4,1,1,3,2,4,4,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,
1,4,2,1,1,2,2,1,1,1,1,2,2,1],[1,1,4,2,4,2,1,1,1,2,8,1,1,1,2,2,1],[1,1,2,4,1,1,
2,1,2,1,1,1,2,2,1],[1,1,4,1,2,2,1,1,1,1],[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],[1,1,6,4,1,3,1,2,4,4,1,2,1,1,2,1],[1,1,2,1,1,1,1,2,
1],[1,1,2,1,1,1,1,2,1],[1,1,2,4,1,3,1,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,4,4,1,2,
2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,2,1],[1,1,2,2,4,2,1,1,1,2,1,4,1,4,
1,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,2,2,6,4,1,1,3,2,4,4,4,8,8,1,1,1,2,2,8,
1],[1,1,2,1,1,1,1,2,1],[1,1,2,1,2,1,2,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,4,4,1,2,
2,4,2,4,1,1,1,4,1],[1,1,2,4,2,1,1,1,2,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,
6,3,1,3,1,1,2,1,2,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,1,2,2,1],[1,1,2,4,4,1,1,1,2,2,
4,4,1,1,1,2,2,1],[1,1,2,1,1,1,1,2,1],[1,1,6,4,1,1,3,2,4,4,1,1,2,1,2,1],[1,1,2,
4,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,3,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,4,1,2,2,2,
4,1,1,1,1],[1,1,2,8,1,2,4,8,2,1,4,1],[1,1,2,4,1,1,1,2,2,1,2,1,1,2,1],[1,1,2,8,
1,1,1,4,8,1,2,2,2,1],[1,1,2,4,1,1,3,2,4,1,1,1,2,2,1],[1,1,6,4,1,1,3,2,8,1,1,1,
2,2,1],[1,1,4,4,2,1,2,1,2,1,8,1,1,2,1,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,
2,4,1,1,1,2,2,1,1,2,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,2,1,1,2,1,1,2,1,1,2,
1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,1,1,3,2,1,1,1,2,2,
1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,3,1,1,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,2,1],[1,
1,4,2,3,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,
1,1,1],[1,1,2,4,1,2,1,4,1,2,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,1,1,1,1,1,1,1,1],[
1,1,2,1,1,1,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,4,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,1,2,
2,2,4,1,1,2,1,2,4,4,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,6,2,1,3,2,1,4,4,
1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,1,2,2,2,1],[1,1,
2,4,1,2,1,1,2,1,1,1,2,2,1],[1,1,4,2,1,1,2,2,1,1,1,1,2,2,1],[1,1,2,1,1,1,2,2,1,
2,1],[1,1,2,2,2,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,4,1,1,1,2,1,2,1],[
1,1,2,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,1,1,1,
2,2,4,1,1,1,2,2,1],[1,1,4,2,1,2,1,2,1,1,1,1,2,2,1],[1,1,2,1,1,1,1,2,1],[1,1,2,
4,4,1,2,2,2,4,4,1,2,1,1,2,1],[1,1,2,1,1,2,1,2,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[
1,1,2,1,1,1,1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1,2,1,1,2,1],[1,1,2,4,1,4,2,4,1,2,
1],[1,1,4,2,1,2,1,2,1,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,4,1,2,4,4,1,
2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,8,1,2,4,4,4,4,8,8,1,2,2,2,4,4,1],[1,1,2,8,
1,1,1,4,8,1,2,2,2,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,4,1,2,2,
1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,2,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,4,4,1,1,
2,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,4,4,2,1,1,1,2,1],[1,1,2,1,1,1,1,1,1,
1],[1,1,2,6,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,
2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,1,1,1,2,2,1],[1,1,4,2,
1,2,1,3,2,1,1,2,1,1],[1,1,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,1,4,6,1,1,2,3,8,1,1,2,
1,2,1],[1,1,2,4,4,1,2,2,4,4,2,1,1,1,4,1],[1,1,4,2,4,2,1,1,1,2,8,1,1,1,2,2,1],[
1,1,2,2,4,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,1,1,1,1,2,1,4,4,1,1,
1,1,1,1,1,1],[1,1,4,6,1,2,3,1,8,2,1,1,2,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,1],[1,1,
4,2,2,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,1,2,3,8,1,2,1,1,2,1],[1,1,
1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,6,4,1,1,3,2,8,1,1,1,1,1,2,1],[
1,1,4,1,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,1,1,
1],[1,1,2,8,1,1,1,4,4,4,1,2,2,2,1],[1,1,2,2,6,1,2,1,3,4,4,1,1,1,1,2,1,1],[1,1,
2,8,1,1,1,4,4,4,1,2,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,2,4,2,1,1,1,1,2,1,4,4,
1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,4,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,1,
1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,
1,1,3,1,1,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,
1,1,1,1,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,2,1],[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],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[
1,1,2,4,1,3,1,2,1,1,1,1,1,2,1],[1,1,6,3,2,4,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[
1,1,2,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,4,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,1,
1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,2,1,2,8,
1,1,1,2,2,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,2,1,1,1,
1,1,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,2,
1],[1,1,2,1,1,1,1,2,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,
1,1,1],[1,1,2,2,2,4,1,1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,
1,2,2,1],[1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,2,2,2,
1],[1,1,2,4,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,1,1,2,3,4,4,1,1,1,1,2,1,1],[1,
1,4,2,1,1,2,2,1,4,1,1,1,1,2,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,
1,2,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,2,1,2,2,2,
1,1,1,2,2,1],[1,1,4,2,4,1,1,2,1,2,8,1,1,1,2,2,1],[1,1,2,2,4,2,4,1,1,2,1,4,4,2,
2,2,8,8,1,1,1,2,2,4,4,1],[1,1,4,2,4,1,2,1,1,2,8,1,1,1,2,2,1],[1,1,2,1,1,1,2,2,
1,1,1,1],[1,1,4,2,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,1,1,3,1,4,4,1,1,1,1,
1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[
1,1,2,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,4,4,1,1,2,1,4,2,2,2,1,1,1,2,2,
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],[1,1,2,2,2,4,
1,1,2,1,4,2,2,2,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,4,1,3,1,2,1,1,2,1,
2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,2,4,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,
4,4,1,2,2,1,1,1,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,4,1,2,2,1,1,1,1],[1,1,
4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,2,1,1,1,1,1,
1,1],[1,1,6,4,1,1,3,4,2,4,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,1,
1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,2,2,1,1,3,1,1,1,1,1,1,1,
1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,
1,4,4,1,2,2,1,1,1,1],[1,1,2,4,4,1,2,4,2,2,2,2,1,1,1,4,1],[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],[1,1,2,1,2,1,1,1,1],[1,1,4,4,1,2,2,
1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,4,
1,2,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,1,2,2,1],[1,1,
2,1,2,1,2,1,1,1,1,1],[1,1,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,1,1,1,
2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,
1,1],[1,1,2,4,4,1,2,1,2,1,4,4,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,1,1,1,2,2,1],[1,
1,2,4,1,2,2,2,4,1,1,1,1],[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],[1,1,4,3,2,1,1,1,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,6,4,3,2,4,4,
2,1,1,1,4,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,
1],[1,1,2,8,1,1,1,4,4,4,1,2,1,1,2,1],[1,1,2,4,1,3,1,2,1,1,1,2,2,1],[1,1,4,4,1,
2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,
1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,1,1,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,6,
4,1,1,3,4,2,4,1,1,2,1,2,1],[1,1,6,4,3,1,1,4,2,2,2,1,1,1,2,2,1],[1,1,4,4,1,2,2,
1,1,1,1],[1,1,2,4,4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,1,2,2,4,2,1,
1,1,2,2,1],[1,1,6,4,3,1,4,1,2,2,2,1,1,2,1,2,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,
1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,4,4,1,1,
2,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
4,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,
1,4,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,
1,1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,4,6,1,1,2,3,4,4,2,1,1,1,1,
1,1],[1,1,2,4,4,1,1,2,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,1,2,4,4,1,1,1,2,
2,1],[1,1,2,4,4,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,
1,1,1,1,1,1],[1,1,6,4,1,3,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,1,2,2,4,2,1,
1,1,2,2,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,1,2,3,4,4,
1,1,1,1,2,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,3,2,3,2,1,1,1,3,3,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,1,2,3,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,3,2,2,
1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,1,1,3,3,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,1,2,1,1,2,1,1,1],[1,9,1,2,1,3,3,6,1,1],[1,9,1,2,1,3,3,6,1,1],[1,
3,1,2,1,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,9,1,2,1,3,3,3,3,1,1],[1,1,1,2,1,1,1,1,
1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,1,
3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,4,3,4,1,1],[
1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,3,1,1],[1,1,6,1,
1,3,3,1,2,3,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,4,1,1,2,1,4,1,1,2,1],[1,
1,4,3,4,1,1],[1,1,1,1,1,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,
6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,1,2,1,1,1,2,1,1],[1,1,1,1,6,1,3,1,2,1],[1,1,
12,1,1,6,1,4,3,1,2,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,
1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,
3,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,1],[1,1,1,1,3,3,1,3,1,1,1,1],[1,1,1,1,2,1,1,
1,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,
1,6,4,3,4,4,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,
1,1],[1,1,12,1,1,6,1,2,2,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,6,1,3,1,3,12,1,2,2,2,3,1,1,1,4,1],[1,1,6,4,
3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,
1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,1,1,1,3,1,
1],[1,1,6,1,3,1,3,1,2,3,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,2,12,1,1,6,
12,1,2,2,2,3,1,1,1,4,1],[1,1,1,1,2,1,1,1,2,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,
6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,2,6,6,1,1,3,3,
12,1,2,2,2,3,1,1,1,4,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,1,1,1,3,1,1],[1,1,3,3,
4,1,3,3,4,1,1,1],[1,1,12,1,1,6,1,2,2,3,1,1,1,1],[1,1,2,12,1,1,6,12,1,1,1,2,2,
3,1,1,1,2,2,1],[1,1,6,4,3,4,4,1,1,1],[1,1,2,12,1,1,6,12,1,2,1,1,2,3,1,1,1,2,2,
1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,6,6,1,1,3,3,12,1,2,1,1,2,3,1,1,1,
2,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,
1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,4,6,6,12,1,3,3,4,4,
1],[1,1,2,8,1,4,4,6,3,4,4,6,6,12,1,4,4,6,1],[1,1,2,1,1,1,3,3,6,1,1,3,3,3,1,3,
3,1],[1,1,2,1,4,4,6,1,4,3,3,1,3,3,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,4,6,6,12,1,
3,3,4,4,1],[1,1,2,1,3,3,1,1,6,1,3,3,1,3,1,3,3,1],[1,1,2,8,1,6,4,4,3,4,4,6,6,
12,1,4,4,6,1],[1,1,2,12,1,1,1,6,6,12,1,3,4,3,6,6,12,1,3,3,4,4,1],[1,1,2,4,8,1,
3,3,2,2,4,4,8,1,3,3,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,6,4,4,
3,4,2,2,4,4,4,4,8,1,2,4,4,4,1],[1,1,2,4,16,1,1,1,2,2,4,8,16,32,1,1,1,4,4,2,4,
2,8,8,8,8,2,1,2,2,4,4,1],[1,1,2,8,8,1,2,2,2,4,8,4,8,2,2,1,2,4,4,8,8,1,1,1,4,
1],[1,1,2,1,6,3,4,4,1,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,1,1,1,4,1],[1,1,2,4,8,
1,1,1,6,2,4,4,8,1,1,3,4,2,2,2,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,12,8,1,1,1,2,6,
12,4,16,8,16,1,3,1,4,2,2,2,8,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,1,2,1,6,3,4,4,1,2,
1],[1,1,2,1,2,2,10,2,5,4,4,1,1,1,4,1],[1,1,2,4,1,1,1,2,2,8,4,1,1,1,2,2,4,1,2,
2,2,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,6,
4,4,8,2,3,4,2,4,1,1,1,4,1],[1,1,2,2,6,1,3,3,1,1,3,3,1,3,3,1,3,3,3,3,3,3,3,6,1,
1,1,3,3,3,3,1],[1,1,6,12,2,1,3,3,6,24,1,1,3,3,6,3,6,6,6,1,3,2,3,6,1],[1,1,6,1,
3,3,1,3,1,3,3,1,3,3,1],[1,1,6,1,3,3,3,1,1,3,3,1,3,3,1],[1,1,2,4,1,3,3,2,2,1,3,
3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,3,3,3,6,24,1,1,3,3,3,6,6,6,6,1,3,2,3,
6,1],[1,1,6,4,1,3,3,2,6,3,1,1,3,6,6,3,6,6,1,3,2,3,6,1],[1,1,6,12,3,3,3,6,4,8,
12,1,1,1,3,3,2,3,6,6,3,6,3,3,3,6,1],[1,1,6,12,1,3,3,6,2,24,1,3,1,3,6,3,6,6,6,
1,3,2,3,6,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,1,2,2,12,6,
1,1,1,6,3,12,3,16,12,12,3,4,1,8,3,3,3,3,3,3,3,6,8,1,1,1,3,3,3,3,1],[1,1,2,4,1,
2,1,1,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,2,4,2,4,1,1,1,2,2,2,2,4,4,
1,1,1,2,2,1],[1,1,2,4,1,6,2,2,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,12,1,2,2,2,
2,4,6,12,2,1,1,3,4,4,4,4,4,4,1,2,1,1,2,1],[1,1,2,8,1,2,4,8,1,2,4,2,2,1,1,1,
1],[1,1,2,8,1,2,8,4,8,1,2,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,8,16,
1,2,1,2,1,1,1,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,1,1,4,4,4,8,2,1,2,
2,2,2,2,2,1,1,1,4,1],[1,1,2,8,8,1,1,1,1,1,4,2,8,4,8,1,1,2,2,1,4,4,4,4,4,4,1,1,
1,2,2,1],[1,1,2,4,8,1,3,3,2,2,4,4,8,1,3,3,1,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
4,1],[1,1,4,2,8,4,2,1,2,1,1,2,4,2,8,16,1,1,1,1,1,2,4,2,2,2,2,2,2,4,4,4,1,1,1,
2,2,2,2,4,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,8,1,1,1,1,1,4,
2,4,8,1,1,2,2,1,4,2,2,4,1,1,1,2,2,1],[1,1,2,1,2,2,2,2,1,2,2,1,2,1],[1,1,2,4,1,
1,1,4,2,6,4,1,1,2,3,2,2,1,2,1,1,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,16,16,16,1,1,1,
2,4,2,4,2,4,2,2,4,2,8,4,8,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,1,6,2,4,4,2,4,1,3,4,
1,2,4,1,1,1,2,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,16,16,16,1,1,4,1,2,4,4,2,4,4,4,8,
4,8,1,2,1,1,2,4,4,1],[1,1,2,8,1,2,4,8,1,2,4,4,1,2,1],[1,1,2,4,1,2,2,6,3,2,4,1,
1,2,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,8,2,1,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,
8,2,1,2,2,2,2,1,1,1,1],[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,
4,4,4,8,8,1,2,2,2,2,2,2,2,1],[1,1,4,2,1,2,1,1,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,
2,4,2,1,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,8,1,1,1,2,2,4,1,2,
2,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,4,2,8,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,1,2,1,1,4,2,2,1,1,1,2,2,2,2,2,1,1,1,2,
2,1],[1,1,2,12,8,1,1,1,6,2,12,4,16,8,16,1,3,4,2,1,8,2,2,4,4,4,4,4,8,1,1,1,2,2,
4,4,1],[1,1,2,16,1,2,8,4,16,16,4,1,4,2,8,4,8,1,1,2,1,2,1],[1,1,2,4,3,1,1,4,2,
1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,4,1,2,2,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,
2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,2,2,4,2,2,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,
1,2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,4,4,2,2,2,2,4,4,1,2,1,1,2,2,2,2,2,1],[
1,1,2,4,4,2,1,2,1,1,4,2,2,1,1,1,1,1,2,4,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,2,4,1],[
1,1,2,8,12,1,1,1,2,4,8,6,12,32,1,2,1,3,2,4,4,2,4,8,8,4,8,1,2,1,2,1,4,4,1],[1,
1,2,4,1,1,1,2,2,2,4,2,4,1,2,1,1,2,2,2,4,4,1,1,2,1,2,1],[1,1,2,1,1,1,4,2,1,2,2,
2,2,1,1,1,1],[1,1,2,12,4,3,2,1,1,6,2,8,16,1,1,1,1,1,2,2,2,2,6,2,6,4,4,2,1,1,1,
2,2,2,4,1],[1,1,2,4,1,1,1,2,8,2,4,1,1,1,4,2,2,1,1,1,2,2,1],[1,1,2,8,4,2,1,1,1,
4,2,8,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,4,8,1,1,1,2,6,4,4,8,1,1,2,3,4,2,2,
4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,
2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,1,
2,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,
1,2,2,2,2,1,2,1,1,2,1],[1,1,2,4,1,2,1,1,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,4,
3,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,4,2,4,3,2,1,1,6,2,1,1,1,1,1,2,2,2,6,2,6,
2,4,4,2,1,1,1,2,2,2,4,1],[1,1,2,4,1,2,2,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,
16,1,2,2,2,8,16,2,1,4,4,4,8,8,1,2,4,1],[1,1,2,1,6,3,4,4,1,2,1],[1,1,2,4,1,2,4,
2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,12,4,1,2,6,4,12,2,4,3,1,1,2,4,4,8,8,1,2,1,1,
2,1],[1,1,2,4,1,2,2,2,2,2,2,1,2,1,1,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,4,4,8,16,1,
2,2,4,2,4,4,4,4,4,4,1,2,4,4,4,1],[1,1,2,8,1,2,2,2,4,4,8,2,1,2,2,2,2,4,4,1,1,1,
2,2,1],[1,1,2,1,6,3,4,4,1,2,1],[1,1,2,8,8,1,2,4,4,4,8,16,2,1,4,4,4,2,4,2,8,4,
1,4,2,4,4,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,4,12,1,2,2,4,4,6,12,1,1,3,2,4,
4,8,8,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,4,2,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,
8,1,1,1,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,8,2,1,2,2,2,2,2,2,1,1,1,
4,1],[1,1,4,2,1,2,1,1,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,4,2,1,2,1,1,4,2,2,1,1,
1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,1,4,2,4,2,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,1,
2,16,1,2,4,8,16,1,4,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,8,1,1,1,1,1,6,4,8,1,1,2,2,2,
3,4,4,1,1,1,2,2,1],[1,1,2,16,1,2,4,8,16,1,2,4,4,4,8,8,1,2,4,1],[1,1,2,4,8,1,2,
2,2,4,8,2,1,2,1,1,2,4,2,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,2,1,4,4,1,2,1],[1,1,2,8,
4,1,2,4,2,8,2,2,1,1,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,1,1,1,
2,2,1],[1,1,2,8,4,3,1,1,4,2,8,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,8,8,1,1,1,
4,2,4,2,8,8,2,1,2,2,2,2,2,2,8,8,1,1,1,4,1],[1,1,2,8,4,1,2,1,1,4,2,8,2,1,1,1,2,
2,2,2,2,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,
1,2,4,4,8,4,8,16,2,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,10,1,1,5,4,4,1,
1,2,1,2,1],[1,1,4,2,8,1,2,1,1,4,2,8,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,
1,4,2,1,2,2,2,2,1,1,1,1],[1,1,2,4,3,1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,
12,3,3,3,6,12,12,1,1,3,3,6,3,3,3,6,6,1,3,2,3,6,1],[1,1,2,2,6,12,1,1,1,3,3,6,
12,16,12,12,1,3,4,3,8,3,3,3,3,3,3,3,3,8,1,1,1,3,3,3,3,1],[1,1,6,12,3,3,3,4,6,
8,12,1,1,1,3,3,2,6,3,3,6,6,3,3,3,6,1],[1,1,6,12,2,1,3,3,6,24,1,1,3,3,3,3,3,3,
3,6,6,1,1,1,3,3,3,3,1],[1,1,6,8,1,3,3,4,4,12,1,3,4,3,3,3,3,3,6,6,1,1,1,3,3,3,
3,1],[1,1,6,12,1,2,3,3,6,12,12,1,1,3,3,3,3,3,6,6,6,1,3,2,3,6,1],[1,1,4,2,4,4,
1,2,1,1,2,2,2,8,1,1,1,2,2,1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,1,1,1,4,
2,2,4,2,4,1,1,1,2,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,3,2,4,4,1,2,1,
2,1,2,2,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,1,2,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,1,2,1,
1,1,1,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,1,1,2,4,4,8,2,4,1,2,1,1,2,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,4,4,2,4,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,8,1,1,1,2,6,4,4,8,1,1,2,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,
4,1,3,1,2,6,2,8,16,1,1,2,1,1,2,4,3,2,2,2,2,2,2,4,4,1,2,1,2,1,2,2,2,2,1],[1,1,
2,4,1,2,2,2,1,2,1,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,8,16,1,1,
1,2,1,2,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,1,2,1,1,2,4,1,1,1,2,2,
2,2,1,1,1,1],[1,1,2,4,12,1,2,2,4,4,6,12,16,1,1,3,2,4,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,1,4,6,8,4,1,2,1,3,2,4,2,4,4,12,16,8,8,1,1,1,1,4,1,2,1,2,3,2,2,2,2,2,2,2,
2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,2,1,1,1,2,2,2,2,2,
1,1,1,2,2,1],[1,1,2,8,4,1,1,1,4,6,8,2,4,1,2,1,3,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[
1,1,2,4,8,1,1,1,2,2,4,8,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,2,2,4,8,
1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,12,8,1,6,1,12,1,16,2,4,4,4,8,8,3,4,8,1,
1,2,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,8,8,1,1,1,4,4,8,8,2,1,1,2,2,2,1,
2,2,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,1,2,4,8,1,1,1,2,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,
2,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,4,2,4,1,2,1,1,1,2,1,2,8,4,1,1,1,2,1,2,1,2,4,4,
1,1,1,2,2,1],[1,1,2,4,8,1,2,2,2,4,8,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,
16,1,1,1,2,2,4,8,8,8,16,16,1,1,1,2,2,4,4,4,4,4,8,4,4,8,1,2,2,2,2,2,2,2,1],[1,
1,4,6,1,2,3,3,2,1,3,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,2,4,4,8,4,8,
16,2,1,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,2,1,1,2,2,2,1,
1,1,1],[1,1,2,8,8,1,1,1,2,4,2,4,8,8,2,1,2,2,2,2,2,2,8,8,1,1,1,4,1],[1,1,4,6,4,
4,1,2,1,3,4,2,2,4,4,8,8,1,1,1,1,2,2,2,1,1,1,2,4,4,2,2,2,2,2,2,1,1,2,1,2,2,2,2,
2,1],[1,1,2,4,1,1,1,2,2,2,4,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,1],[1,1,2,8,8,1,1,
1,4,4,8,8,1,1,2,2,1,2,2,2,2,1,1,2,1,2,1],[1,1,2,8,8,1,1,1,4,8,4,8,1,1,1,2,2,2,
2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,8,1,2,1,2,1,2,2,2,2,1,1,2,1,2,1],[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],[1,1,2,8,1,1,1,4,4,8,2,
1,1,2,1,2,2,2,2,1,1,2,2,1,1],[1,1,2,8,1,1,1,4,4,8,2,1,2,2,1,2,1,2,2,1,1,1,2,2,
1],[1,1,2,8,1,1,1,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,2,2,1,1,
1,1],[1,1,6,1,3,3,4,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,1,6,8,4,1,2,1,3,2,4,2,4,4,8,
8,1,1,1,1,4,2,2,1,1,1,2,2,2,4,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,2,8,1,1,1,4,
8,2,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,2,
1,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,2,1,1,1,2,2,1],[1,1,6,1,3,3,4,1,3,3,2,2,1,1,1,
1],[1,1,6,4,4,1,2,1,3,4,2,2,4,4,4,1,1,1,1,2,2,3,4,1,2,1,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,2,2,2,4,8,1,2,1,2,1,2,2,4,1,1,1,2,2,1],[1,1,2,
4,16,1,1,1,2,2,4,8,16,16,16,1,1,4,1,4,2,2,8,2,4,4,2,4,2,2,4,4,1,1,1,1,1,1,1,4,
4,1],[1,1,2,1,1,1,4,1,1,1,1,2,1,1,1,1,1],[1,1,6,8,1,3,3,4,8,1,3,3,2,2,2,2,1,1,
1,2,2,1],[1,1,2,4,2,1,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,3,1,2,2,2,1,1,
1,2,2,2,2,1,1,1,1],[1,1,2,4,4,1,1,1,1,1,2,6,4,2,4,1,1,1,1,3,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,1,3,1,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,8,4,1,1,1,4,4,2,8,
2,4,1,2,2,1,1,2,4,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,1,6,2,2,12,16,4,4,3,4,
2,8,1,1,2,2,8,1,1,1,2,2,1],[1,1,2,6,10,4,1,1,1,1,3,1,5,2,4,4,16,12,8,8,1,1,3,
1,2,1,2,2,1,2,1,4,1,1,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,2,1,
2,1,1,4,2,2,1,1,1,1,1,1,4,1,2,1,2,1,1,1,2,2,2,2,2,4,2,1,1,1,2,1,1,1,1,2,2,2,
1],[1,1,2,4,1,6,2,2,3,4,2,1,1,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,2,1,2,1,1,
2,2,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,4,4,8,16,4,4,1,2,2,1,1,4,2,2,8,8,1,1,1,2,2,
1],[1,1,2,2,6,8,1,1,1,1,1,3,3,4,8,8,8,1,1,2,2,2,1,1,1,3,1,1,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,1,1,1,4,8,4,8,1,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,2,8,4,1,2,4,2,8,2,2,1,1,4,1,2,2,2,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,8,1,3,
3,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,1,2,1,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,2,
2,8,1,1,1,1,1,4,1,1,4,4,4,4,2,1,1,2,1,2,1,1,1,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,
2,1],[1,1,6,4,1,1,3,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,2,1,1,1,
2,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,2,4,2,1,1,1,1],[1,1,2,4,4,1,2,2,4,
2,4,1,1,1,2,4,2,1,1,1,1],[1,1,6,2,6,4,1,3,1,3,1,1,3,2,8,16,1,1,3,1,2,1,1,2,3,
1,3,2,1,1,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,2,2,4,1,3,1,3,1,3,1,2,4,8,
1,1,3,1,2,1,1,3,1,2,1,1,3,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,2,8,4,2,
1,2,1,1,2,4,2,8,8,8,1,1,1,1,1,1,1,2,1,4,1,1,2,1,2,2,2,2,2,2,4,1,2,1,1,1,1,1,1,
2,2,2,1],[1,1,2,4,8,1,2,1,1,2,4,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,1,3,3,
2,2,1,3,2,3,2,1,1,1,1],[1,1,2,2,6,4,1,1,3,3,1,1,3,2,4,8,1,3,1,1,1,1,3,2,1,2,2,
1,3,1,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,1,1,1,2,2,2,2,1,2,1,1,2,2,2,
1,1,1,1],[1,1,6,8,4,1,1,3,4,2,4,4,8,4,1,2,1,2,2,1,2,2,2,8,8,1,1,1,2,2,1],[1,1,
2,4,8,2,1,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,1,2,3,3,2,1,1,3,
1,3,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,3,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,2,8,1,1,1,4,4,4,4,4,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,
1,1,1,1,4,2,1,1,1,1,1,1,1,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,1,1,1,4,1,1,1,1,2,
1,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,
1,1,1,2,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,1,3,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,1,2,1,1,1,2,2,1,1,1,1],[1,1,6,4,8,1,1,3,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,
8,8,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,1,1,4,1,2,2,
2,2,2,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,6,4,1,1,3,2,4,
4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,2,2,1,1,1,1],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1,1],[1,1,6,4,1,1,3,2,4,4,2,1,1,2,1,2,2,1,1,1,1],[1,1,2,8,8,1,1,1,4,4,4,
8,8,2,1,2,2,2,2,2,2,8,8,1,1,1,4,1],[1,1,4,2,4,4,8,1,2,1,1,2,2,2,4,8,4,4,4,16,
16,1,1,1,2,2,1,1,2,2,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,4,1],[1,1,2,4,1,1,1,2,2,
4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,8,2,8,1,1,1,1,1,4,1,1,8,4,4,4,4,16,16,2,
1,1,2,1,1,1,1,2,1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,1,3,3,4,8,1,
3,3,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,4,1,2,1],[1,1,2,4,8,2,1,1,1,
2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,2,1,1,1,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,4,8,2,1,2,2,1,1,2,2,2,1,1,1,2,2,1],[1,
1,2,8,1,1,1,4,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,8,1,1,1,4,8,4,8,2,1,
2,1,2,1,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,
2,4,8,8,2,1,4,4,1,2,1],[1,1,2,8,8,1,2,4,8,4,8,1,2,4,1,1,2,2,2,1,1,1,2,2,1],[1,
1,2,8,1,2,1,1,2,4,8,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,1,1,4,2,2,8,2,
1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,3,1,4,2,8,1,2,1,1,2,2,2,2,2,1,1,1,2,
2,1],[1,1,2,2,6,4,3,1,1,1,1,3,3,2,4,8,1,1,1,1,1,1,2,3,2,3,1,3,3,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,6,4,2,1,1,1,1,1,3,3,2,4,8,1,1,1,2,2,1,1,1,2,1,
1,1,2,1,1,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,1,2,1,2,1,2,2,1,1,1,
2,2,2,2,1,1,1,1],[1,1,4,2,4,8,1,2,1,1,2,4,8,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[
1,1,2,4,8,3,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,2,2,4,8,
1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,
1,1,2,2,1],[1,1,2,4,1,2,4,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,2,2,1,
1,1,1],[1,1,4,6,4,1,2,3,3,2,8,1,3,1,1,2,3,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,
1,1,2,2,4,4,4,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,3,1,2,4,4,4,1,1,1,2,
2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,3,1,6,2,2,1,1,2,4,1,2,3,2,1,2,2,2,2,2,4,4,
1,2,1,1,2,2,2,2,2,1],[1,1,2,1,2,1,1,1,2,1,2,4,1,1,1,2,1,2,1,2,1,1,1,2,2,1],[1,
1,2,4,1,1,1,4,2,2,2,1,2,2,1,1,2,2,2,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,2,4,1,1,1,2,
2,2,2,1,1,1,1],[1,1,2,4,3,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,4,1,2,2,4,
4,4,2,4,8,8,1,1,1,1,1,1,2,1,4,2,2,4,4,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,4,
4,1,2,2,8,4,2,4,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,3,3,1,3,1,2,1,3,
1,1,2,3,2,1,3,1,2,1,1,1,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,1,2,4,12,1,2,2,
4,4,6,12,16,1,1,3,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,3,4,8,1,3,2,3,2,
2,2,1,1,1,2,2,1],[1,1,2,4,1,3,1,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,4,8,1,1,1,2,
2,4,8,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,1,2,1,1,2,2,2,4,8,16,
1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,4,8,1,2,1,1,2,2,2,
4,8,16,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,8,1,2,1,1,
2,2,2,4,4,4,4,1,1,1,2,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,2,
1,1,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,3,1,1,2,4,8,1,1,1,2,2,2,2,
2,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,4,1,2,1],[1,1,4,2,8,1,2,1,1,2,4,4,4,
1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,8,4,8,2,1,1,4,1,2,2,2,1,1,1,2,
2,1],[1,1,2,4,2,1,1,1,2,1,1,1,2,1,2,1,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,1,2,2,
1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,4,4,4,1,1,1,1,2,1,1,1,2,1,1,1,2,2,
1],[1,1,2,4,8,8,1,2,1,4,4,1,8,2,16,4,4,4,8,8,1,2,1,1,4,2,2,2,2,8,2,4,4,4,4,8,
1,1,1,2,2,4,4,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,6,2,4,
1,1,1,1,3,5,1,2,4,4,4,1,1,2,1,1,4,3,2,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,2,8,8,1,1,1,4,8,4,4,4,4,1,2,2,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,1,2,
4,12,1,2,2,4,4,6,12,16,1,1,3,2,4,4,8,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,8,
2,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,6,4,8,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,
1,1,4,2,2,4,4,8,1,1,2,2,1,2,4,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,4,2,1,2,2,
2,2,1,1,1,1],[1,1,6,1,2,3,3,2,1,1,3,1,2,3,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,
2,2,2,4,8,1,2,1,1,2,2,2,4,1,1,1,2,2,1],[1,1,4,2,4,8,1,2,1,1,2,8,4,8,1,1,1,2,2,
2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,8,16,1,2,1,1,2,2,1,1,2,2,2,2,
4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,4,1,1,3,4,2,4,4,4,2,1,1,2,2,2,1,2,2,1,1,1,2,
2,1],[1,1,2,4,4,4,4,1,2,2,2,2,2,4,2,2,4,8,8,1,1,2,1,1,1,1,2,2,2,2,1,2,2,2,4,2,
2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,4,1,2,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,
2,1,2,2,2,2,1,4,1,2,1],[1,1,2,4,8,1,2,2,2,4,8,1,2,2,4,1,1,2,2,1,1,1,2,2,1],[1,
1,2,2,4,6,8,1,1,1,2,3,4,3,4,8,16,4,4,8,8,1,1,2,1,1,1,1,3,4,1,1,2,2,2,2,8,2,2,
2,2,2,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,1,2,2,2,1],[
1,1,2,4,1,3,1,4,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,16,1,2,4,8,16,16,1,4,
2,4,8,4,8,1,1,1,2,1,1,1],[1,1,2,4,1,2,4,2,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,8,
12,1,1,1,4,2,8,6,12,16,16,1,2,3,1,4,4,4,4,8,4,2,4,2,4,4,1,1,1,1,2,1,4,4,1],[1,
1,6,12,2,1,3,3,6,4,8,12,1,1,1,1,2,2,1,2,4,3,2,2,3,4,6,1,2,2,1,1,2,4,2,1],[1,1,
2,12,1,1,1,2,4,6,12,1,1,2,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,4,6,2,
4,1,2,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,2,4,4,1,1,2,1,1,1,1,
1,2,4,4,1,1,1,2,2,1],[1,1,4,2,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,
12,1,1,1,4,2,6,12,1,2,3,1,2,4,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,2,2,4,8,
1,2,1,2,1,2,4,2,1,1,1,2,2,1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,2,2,1,1,2,1,1,2,1,1,
1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,3,1,
1,2,1,1,1,1,2,2,1,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,1,1,2,2,1,1,1,2,2,
1],[1,1,2,8,4,1,1,1,2,4,4,2,4,8,1,1,1,1,1,2,1,2,2,1,4,2,2,2,2,2,2,4,2,1,1,1,1,
1,2,1,1,2,2,2,1],[1,1,2,4,4,1,2,2,2,2,2,1,1,1,2,1,1,1,2,2,1,2,1,1,1,1,1,1,1,
1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,8,1,1,2,1,1,1,2,2,1,2,2,2,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,2,1,1,2,2,2,1],[1,1,2,4,3,1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,
4,8,1,1,3,2,2,2,4,4,4,4,4,1,1,2,2,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,1,6,
2,2,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,4,1,1,1,2,2,
2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,4,1,1,2,1,1,1,1,1,2,1,1,1,
2,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,2,1],[1,1,2,4,4,3,1,1,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,1,2,1,2,1,1,1,1],[1,1,2,4,8,1,2,2,2,4,
8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,1,2,1,1,1,2,1,1,1,1],[1,1,2,8,1,2,
4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,
8,1,2,8,4,8,1,2,4,4,4,1,1,1,1,1,2,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,2,2,2,4,2,4,
1,1,1,1,1,2,1],[1,1,2,4,4,1,2,2,2,2,2,1,2,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[
1,1,2,8,1,2,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,4,2,8,1,2,1,1,2,4,8,2,1,1,1,2,2,2,2,
2,1,1,1,2,2,1],[1,1,2,4,12,1,1,1,1,1,2,2,4,6,12,1,1,1,2,3,2,1,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,4,3,1,
2,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,6,4,8,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,
1,2,4,8,1,2,2,2,4,8,1,2,1,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,
2,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,4,2,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,1,2,4,2,
2,1,2,1,2,1,2,2,1,1,1,1],[1,1,6,12,1,2,3,3,6,12,12,1,1,3,3,3,3,3,3,3,3,3,6,1,
1,1,3,3,3,3,1],[1,1,2,4,1,3,3,2,2,1,3,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,
8,1,2,1,1,2,4,4,4,4,4,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,3,2,1,5,3,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1],[1,1,8,6,1,3,4,3,8,1,1,3,1,2,1,1,3,2,1,1,1,1,1,1,1,
1],[1,1,2,8,4,1,3,1,4,4,2,4,8,1,1,1,1,2,2,1,1,2,2,1,2,2,2,2,4,2,4,2,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,4,2,4,4,1,
2,1,3,2,2,8,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,2,1,4,2,4,4,
4,4,4,2,1,2,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,4,2,3,3,1,2,1,1,1,1,3,1,3,
2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,3,1,2,3,2,8,1,1,1,3,3,1,1,2,2,1,1,1,1,1,1,1,
1],[1,1,4,6,4,2,3,3,1,2,8,1,1,1,1,3,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,
2,4,2,4,4,4,4,4,2,1,2,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,4,4,6,1,1,2,2,2,3,
8,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,2,3,2,3,1,1,3,2,1,1,2,1,3,1,
1,1,1,1,1,1,1],[1,1,2,4,2,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,
8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,4,4,1,1,2,3,2,2,8,1,1,1,1,1,1,1,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,4,2,4,1,3,2,2,1,4,2,4,4,2,2,2,2,8,8,1,1,1,1,1,
2,2,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,3,4,2,4,1,1,2,1,2,2,2,1,1,1,
1],[1,1,6,4,1,1,3,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,2,4,2,1,1,1,2,1,1,4,1,1,
2,4,4,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,4,2,8,1,1,1,2,2,
2,1,4,1,4,4,4,4,4,8,8,8,8,1,1,2,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,4,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,6,4,4,1,1,2,3,2,2,4,4,4,2,2,2,2,8,8,1,1,1,1,
1,1,1,2,2,2,2,4,8,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,3,1,2,2,2,1,1,2,1,2,2,2,1,1,1,
1],[1,1,4,2,4,2,1,2,1,3,2,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,3,3,
2,2,1,3,2,3,2,1,1,1,1],[1,1,2,2,6,4,2,1,1,1,1,1,3,3,2,4,4,4,1,1,1,1,2,1,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
6,1,3,4,3,1,1,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,1,4,4,1,8,2,4,4,
4,8,16,8,1,2,1,1,2,2,2,4,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,4,4,
1,1,3,2,2,2,4,4,4,4,1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,4,2,3,1,
3,2,8,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,2,1,1,2,1,2,2,8,1,1,1,2,
1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,1,2,1,1,4,2,4,4,4,4,12,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,2,3,3,1,5,3,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,6,4,3,
1,3,2,2,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,3,1,3,2,1,1,1,3,1,1,3,2,
2,1,1,1,1,1,1,1,1],[1,1,6,12,1,2,3,3,4,6,8,12,1,1,1,2,2,1,1,2,2,3,4,3,4,2,6,1,
2,2,2,1,1,2,4,1],[1,1,4,6,1,3,2,2,3,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,
4,8,1,2,1,1,4,2,4,4,4,4,1,1,1,1,2,1,1,1,1,1,1,1,1,5,1,1,1,2,1,3,1,2,4,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1],[1,1,2,2,6,8,1,1,1,1,1,3,3,4,4,4,4,8,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,2,2,1,3,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,
8,1,1,3,2,4,2,2,4,4,4,4,1,1,2,2,1,2,2,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,4,6,1,2,3,
2,3,1,1,1,1,3,2,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,8,1,1,1,1,1,2,2,1,1,4,8,8,
8,1,1,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
8,8,1,4,2,8,4,8,2,1,1,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,1,1,2,2,2,2,1,1,1,2,
2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,6,4,1,3,2,3,4,2,12,12,2,2,2,2,1,3,1,1,3,
1,1,8,2,2,4,4,1,1,1,1,1,1,1,1],[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],[1,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1,1,2,1,2,1,2,2,1,1,1,1,
1,1,1,1],[1,1,4,6,1,1,2,4,3,8,1,1,1,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,
4,4,1,1,1,2,2,2,2,8,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,4,6,4,1,3,
2,1,3,1,4,4,12,12,2,2,2,2,8,8,1,3,1,1,3,1,1,8,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,
1,1,1,4,4,1],[1,1,4,6,4,4,1,2,3,1,2,8,2,8,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,4,4,4,1,1,1,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,4,6,4,1,2,3,1,2,8,2,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,
2,4,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,4,6,1,2,1,2,2,3,8,8,1,1,1,2,1,2,1,1,1,2,2,1,1,
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],[1,1,6,4,4,
1,3,2,1,2,4,2,4,2,2,2,2,1,1,2,1,1,1,2,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,
1,1,2,3,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,2,
2,1,1,1,1],[1,1,2,4,4,1,1,2,1,3,2,1,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,8,1,3,1,2,4,8,1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,
6,1,2,1,2,2,3,8,1,1,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,8,1,1,1,1,1,
5,1,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,1,1,2,1,1,1,3,5,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,2,4,8,1,3,1,2,4,4,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,
6,6,4,1,1,1,1,3,3,3,2,4,4,4,4,4,4,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,4,2,1,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,4,8,3,4,1,1,2,2,2,1,1,
1,2,2,1],[1,1,4,2,4,4,2,1,2,1,1,2,2,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,4,4,1,3,2,3,4,2,4,2,2,2,2,1,1,3,3,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
8,1,6,4,8,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,3,1,2,3,2,1,1,1,3,3,1,1,2,2,1,1,
1,1,1,1,1,1],[1,1,2,8,8,1,1,1,1,4,1,2,4,8,8,1,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,1],[1,1,4,6,1,3,2,2,3,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,8,1,1,
1,1,1,2,2,1,1,4,8,8,8,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,4,4,1,1,1,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,4,3,3,1,2,2,1,1,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,1,2,2,2,3,8,
1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,8,1,1,1,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,3,1,3,2,2,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,
1,1],[1,1,6,4,8,1,1,2,3,4,2,2,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,1,2,4,8,3,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,2,1,1,2,1,2,
2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,1,2,3,2,1,1,1,3,3,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,6,4,3,2,1,3,2,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,8,1,1,1,
1,1,3,3,4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,3,1,1,2,3,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,1,2,1,3,2,2,1,2,1,1,1,1,2,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,4,4,1,1,2,3,2,2,4,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,1,6,4,4,1,1,2,3,2,2,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,4,4,3,1,3,2,2,8,1,3,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,4,2,1,2,3,
1,8,2,8,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,4,1,1,2,1,2,1,2,1,
4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,3,4,4,
4,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,3,1,3,2,2,8,1,1,1,3,1,1,3,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,2,
4,2,1,2,1,3,2,8,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,1,1,2,2,4,
8,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,3,4,4,4,1,3,3,2,2,2,2,1,1,
1,2,2,1],[1,1,2,4,4,1,1,1,2,2,1,2,2,1,2,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,4,6,1,2,3,2,3,1,1,1,3,1,2,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,3,
1,2,2,2,1,1,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,3,2,3,1,2,1,1,2,1,1,1,1,
1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,4,4,1,1,2,2,1,2,2,4,4,4,2,2,2,2,8,8,1,1,
1,1,1,1,1,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,1,2,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,10,8,1,1,1,1,1,1,5,4,4,4,4,4,16,20,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,4,1,3,5,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,6,4,1,3,3,2,2,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,1,3,1,2,1,
4,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,4,6,4,4,
1,1,2,1,3,2,1,4,4,4,4,2,2,2,2,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,8,4,
4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,8,8,1,2,4,8,4,8,2,1,1,1,4,2,2,2,1,1,1,2,2,1],[
1,1,2,8,1,3,3,4,8,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,4,1,1,2,1,1,2,2,1,4,
4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,4,1,
3,2,1,1,2,1,4,4,4,2,2,2,2,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,
1,1],[1,1,2,4,8,1,1,1,2,2,4,8,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,
4,4,1,1,2,1,2,2,2,8,8,1,1,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,
4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,
4,4,4,1,1,2,1,2,2,2,8,1,1,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,2,4,1,3,
2,1,2,1,1,4,4,2,2,2,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,
4,3,3,1,2,2,8,1,1,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,
2,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,1,4,2,4,2,1,
1,2,2,1,2,8,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,2,2,1,2,4,
2,1,2,4,4,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,3,1,1,2,4,
4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,2,4,4,1,1,2,2,1,2,2,8,1,1,1,1,1,2,1,
2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,6,8,1,3,3,4,4,4,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,2,1,2,
2,3,8,1,1,1,2,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,3,1,2,4,4,4,1,1,2,1,
2,2,2,2,2,1,1,1,2,2,1],[1,1,4,6,4,2,1,2,3,1,8,2,1,2,1,1,1,1,2,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,1,3,2,1,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,4,4,1,1,2,1,2,2,
2,4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,8,6,1,1,2,4,3,
8,8,1,1,1,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,8,8,1,2,1,1,2,4,4,4,4,4,4,
20,16,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,5,1,3,4,2,1,8,8,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,1],[1,1,2,4,4,8,1,2,2,4,2,4,4,4,4,4,8,8,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,
1,1,1,1,1],[1,1,2,4,4,1,3,3,2,2,8,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,
3,2,3,2,1,3,2,3,2,1,1,1,1],[1,1,4,4,6,1,2,1,2,2,3,8,1,1,2,1,1,2,1,1,1,2,2,1,1,
1,1,1,1,1,1],[1,1,2,4,2,1,1,2,2,1,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
1,4,4,6,1,2,3,2,3,8,1,1,3,1,2,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,4,4,2,4,4,2,1,2,1,
1,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,3,1,2,3,2,8,1,1,1,
3,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,3,2,1,3,2,8,1,1,1,2,1,1,1,1,2,2,2,1,1,
1,1,1,1,1,1],[1,1,4,6,4,4,1,1,2,3,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,4,1,3,2,1,3,1,4,2,2,2,2,1,1,1,3,3,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
2,2,4,6,4,1,1,1,1,1,2,3,4,3,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,3,1,2,1,1,1,1,
1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,3,2,3,1,2,8,1,
1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,2,1,2,1,1,2,2,1,1,1,1,1,2,1,1,
2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,4,2,1,2,1,1,2,2,8,1,1,1,1,1,2,1,1,2,2,2,1,1,
1,1,1,1,1,1],[1,1,6,8,1,3,3,4,4,4,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,
1,3,1,2,4,4,4,1,1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,1,1,3,1,4,2,2,
4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,1,
1,4,2,4,4,4,4,4,1,2,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,1,
3,1,2,1,1,1,3,1,1],[1,1,18,1,2,1,9,1,2,1,6,6,6,6,1,3,3,6,1,2,1],[1,1,18,1,2,1,
9,1,2,1,3,3,6,6,6,1,3,3,6,1,1,1,1],[1,1,1,2,1,3,1,2,1,1,1,3,1,1],[1,1,6,1,2,1,
3,1,2,2,1,6,1,1,3,1,2,1],[1,1,2,1,2,1,1,1,2,2,2,2,1,2,1,1,2,1,1,2,1],[1,1,6,1,
2,1,3,1,2,1,2,6,1,1,3,1,2,1],[1,1,18,1,2,1,9,1,1,1,1,3,3,3,3,3,9,1,3,3,3,3,1,
1,1,1],[1,1,18,1,2,1,9,1,1,1,1,3,3,3,9,3,3,1,3,3,3,3,1,1,1,1],[1,3,3,9,1,2,1,
9,1,1,3,3,3,6,3,1,3,3,1,1,1,1],[1,3,3,9,1,2,1,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[
1,1,2,4,1,3,3,4,4,4,1,3,3,4,1,1,1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,2,4,
1,3,3,4,4,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,4,1,6,4,8,3,
4,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[
1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,4,6,3,4,1,3,3,4,3,1,1],[1,1,4,3,6,4,1,3,
3,4,3,1,1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,
1],[1,1,6,1,3,3,9,1,2,1,9,9,1,3,3,3,1,3,3,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,
2,1,1,3,3,1,2,1,3,3,1,3,3,1,1,3,3,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,
1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,
3,6,4,8,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,4,1,6,4,4,4,3,4,
4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[
1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,3,3,
1,4,1,3,3,4,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,
1],[1,1,2,1,1,3,3,1,1,1,1,3,3,1,3,3,1,1,3,3,1],[1,1,6,4,3,1,3,4,1,3,3,4,1,1,
1],[1,1,2,12,1,1,1,1,6,6,1,2,4,1,3,6,3,6,1,1,1,2,2,3,2,1,1,1,2,1],[1,1,2,24,1,
1,1,1,12,24,1,2,4,4,1,6,6,6,1,1,1,2,2,8,3,1,1,1,2,2,1],[1,1,4,6,12,1,1,3,2,3,
6,24,1,2,4,4,1,3,3,6,6,1,1,1,2,2,8,3,1,1,1,2,2,1],[1,1,2,6,6,1,1,1,1,3,3,3,3,
1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1],[1,1,2,12,4,1,6,12,16,4,8,3,4,8,1,4,1,1,2,1],[1,1,2,4,3,1,
3,4,8,1,3,3,4,1,1,1],[1,1,4,1,3,2,1,4,1,1,1,3,2,1,1,1,1,1],[1,1,6,4,3,1,3,4,1,
3,3,4,1,1,1],[1,1,1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,6,12,1,1,3,2,3,6,1,2,4,1,
3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,6,4,12,1,1,3,2,3,6,24,1,2,4,4,1,3,3,6,6,
1,1,1,2,2,8,3,1,1,1,2,2,1],[1,1,4,1,2,1,2,1,4,1,1,1,2,1,2,1,1,1,1,1],[1,1,4,
12,1,1,2,6,1,4,4,1,3,3,1,2,2,3,1,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,1,2,2,3,1,1,
1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,
6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,
3,1,2,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,2,4,1,1,1,1,2,2,1,2,4,1,1,1,2,
2,1,1,1,2,2,1,1,1,1,2,2,1],[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],[1,1,2,1,1,1,1,1,2,1,6,1,1,1,3,1,1,1,1],[1,1,1,1,2,6,1,1,3,3,1,2,
2,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,4,1,1,2,6,1,4,1,3,
3,1,2,2,3,1,1,1,1],[1,1,12,12,1,1,6,6,1,4,4,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,4,1,
3,3,4,1,3,3,4,1,1,1],[1,1,2,6,6,4,1,3,3,4,12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,1,
12,1,2,1,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,12,1,1,6,6,1,4,1,3,3,1,2,2,3,1,1,1,
1],[1,1,6,12,1,2,1,3,3,6,1,2,4,1,6,3,3,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,6,1,1,
3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,1,2,4,
1,3,3,4,8,1,3,3,4,1,1,1],[1,1,6,12,4,3,6,4,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,
1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,6,12,4,3,3,3,4,6,6,6,4,4,4,1,3,3,6,6,1,4,3,
1,1,1,1],[1,1,6,12,1,1,3,2,3,6,1,2,4,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,
6,4,3,6,4,6,4,1,3,3,1,4,3,1,1],[1,1,6,1,2,1,3,6,3,1,2,1,6,3,3,6,1,2,1,2,1,3,1,
1,1,2,2,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,12,1,1,6,6,1,4,4,1,
3,3,1,2,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,1,3,6,
1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[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],[1,1,12,4,3,6,4,4,4,
1,3,3,4,3,1,1],[1,1,12,1,1,6,6,1,4,1,3,3,1,2,2,3,1,1,1,1],[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],[1,1,3,6,3,6,4,3,1,3,3,3,3,3,6,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,2,6,
12,1,1,1,1,3,3,6,12,12,1,2,2,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,4,4,3,1,1,1,1,
1,1,1,1],[1,1,2,24,1,1,1,1,12,24,1,1,1,4,4,1,6,6,6,1,1,1,2,2,4,4,3,1,1,1,2,2,
1],[1,1,2,6,2,12,1,1,3,3,1,1,6,12,12,1,2,2,2,2,2,3,1,3,3,3,3,3,1,1,1,1,1,1,1,
4,4,3,1,1,1,1,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,6,12,4,3,3,4,3,
6,6,6,4,4,4,1,3,6,3,6,1,4,3,1,1,1,1],[1,1,3,6,3,6,4,3,1,3,3,3,3,3,6,6,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,4,3,
6,4,4,4,1,3,3,4,3,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,2,12,1,1,3,1,1,3,6,
1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,6,6,4,1,3,3,4,
12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,1,12,1,1,2,6,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,
1,6,12,4,3,3,4,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,1,3,6,1,4,1,3,3,
3,2,3,1,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,
1,3,3,4,3,1,1],[1,1,6,2,6,12,1,1,3,1,1,3,6,12,12,1,2,2,2,2,2,1,3,3,3,3,3,3,1,
1,1,1,1,1,1,4,4,3,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,
12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,12,4,
1,6,12,16,4,8,3,4,8,4,1,1,1,2,1],[1,1,2,1,1,1,1,1,1,1,1,6,1,1,1,3,1,1,1,1],[1,
1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,2,6,12,1,1,1,1,3,3,6,12,12,1,2,2,1,1,2,
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],[1,1,2,1,6,6,18,2,6,
6,9,12,12,2,3,3,9,18,6,9,1],[1,1,2,1,3,3,3,3,18,1,1,3,3,3,3,9,12,12,1,1,3,3,9,
9,9,3,3,9,1],[1,1,2,12,24,1,3,3,6,6,12,12,16,24,32,48,1,3,3,3,3,4,4,6,6,6,6,6,
8,8,12,12,12,12,12,12,16,24,24,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,
3,3,3,4,6,12,1],[1,1,2,12,24,1,3,3,6,6,12,12,24,96,1,3,3,3,3,4,6,6,6,6,6,12,
12,12,12,12,24,24,24,24,1,1,3,3,3,4,4,6,6,6,6,6,6,8,8,12,12,12,24,24,1,2,3,3,
4,4,6,8,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,4,4,4,6,6,12,1,3,3,4,4,4,6,6,12,1,4,4,
6,1],[1,1,2,12,16,1,1,1,6,6,8,8,12,48,1,3,3,4,4,4,6,6,8,8,12,12,12,12,12,24,
24,1,3,3,4,4,4,6,6,8,8,12,12,12,12,12,24,24,1,2,4,4,6,6,8,1],[1,1,2,24,1,6,12,
12,24,32,6,3,8,4,6,16,8,12,24,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,2,12,24,1,3,3,6,
6,12,12,24,48,48,1,3,3,3,6,3,4,6,6,6,6,12,12,12,12,24,12,12,12,12,12,24,1,1,3,
3,3,3,3,4,4,6,6,6,6,6,8,8,12,12,12,24,24,1,2,3,3,4,4,6,8,1],[1,1,2,24,1,6,12,
12,24,32,3,4,6,6,8,8,16,12,24,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,1,2,12,24,1,3,3,6,
6,12,12,16,24,32,48,1,3,3,3,4,6,3,8,4,8,6,6,6,6,16,12,12,12,12,12,12,12,12,24,
1,1,2,1,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,3,3,3,4,6,12,1],[1,1,2,8,1,6,4,
4,8,2,3,4,2,4,8,1,1,1,4,4,2,1,1],[1,1,2,20,8,1,1,1,6,10,8,20,4,16,8,16,1,5,3,
4,4,2,6,6,4,8,12,4,4,4,8,8,16,16,1,1,3,1,3,4,4,4,2,2,2,2,2,4,4,4,4,4,1,1,1,2,
2,2,2,4,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,1,2,3,5,4,4,2,6,6,2,4,4,4,12,4,
4,8,8,8,1,1,1,1,3,1,3,4,4,4,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,8,1,
2,2,10,4,4,2,5,4,4,2,2,4,4,4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,
4,24,1,1,1,6,2,8,4,12,24,32,1,1,3,4,4,6,2,4,2,4,4,4,4,8,8,8,8,16,8,16,1,1,2,1,
2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,1,2,4,8,1,3,3,2,2,2,2,12,4,
4,8,1,3,3,2,1,1,2,2,2,2,2,6,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,6,2,2,2,6,2,4,4,4,
2,1,1,1,2,2,2,4,1],[1,1,2,16,1,2,2,10,8,8,16,2,5,4,4,4,4,4,8,4,8,8,8,1,1,1,2,
2,2,2,2,4,2,4,8,4,2,1,2,2,4,4,1],[1,1,2,1,2,2,10,2,5,4,4,8,1,1,1,4,4,2,1,1],[
1,1,2,4,16,8,1,1,1,6,2,8,4,8,4,8,16,32,1,1,3,4,2,2,2,4,4,4,8,4,4,4,4,8,8,4,8,
4,8,8,8,8,16,8,8,8,1,1,1,2,2,4,2,2,8,8,4,4,4,4,4,4,4,8,4,4,4,4,8,8,8,8,8,8,8,
8,8,2,1,2,2,4,4,4,4,8,1],[1,1,2,8,8,1,6,4,4,4,8,4,2,3,4,2,2,2,4,4,4,4,4,4,8,1,
1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,2,4,4,10,2,5,4,4,4,6,6,12,4,1,1,
1,4,4,2,4,6,4,4,1,1,1,2,2,1],[1,1,2,4,32,1,1,1,2,2,2,2,4,4,16,16,16,32,32,1,2,
1,1,2,2,2,4,4,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,1,2,2,4,4,4,4,4,4,4,8,8,8,8,
8,8,1,2,2,2,4,4,1],[1,1,2,4,8,1,1,1,6,2,4,4,8,1,1,3,4,2,2,2,4,4,4,4,4,8,1,1,1,
2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,8,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[
1,1,2,8,16,1,6,4,12,8,8,16,32,2,3,4,4,6,8,4,8,8,16,8,16,1,2,1,1,2,2,2,2,2,4,4,
4,4,4,1,2,2,2,4,4,1],[1,1,2,12,24,1,1,1,2,2,2,6,4,12,12,16,24,16,32,1,2,3,1,4,
4,6,2,4,2,2,8,4,8,8,4,4,4,4,8,8,8,8,8,8,8,8,16,16,1,1,1,2,1,1,4,2,2,2,2,2,2,4,
4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,4,1,2,2,2,1],[1,1,2,4,8,1,1,1,6,2,4,4,8,1,1,3,4,2,2,
2,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,2,8,4,8,8,1,1,1,4,4,6,2,4,4,4,
4,8,16,32,1,1,3,4,4,6,2,2,2,6,2,2,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,
8,1,1,1,4,4,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,
1,1,2,2,4,4,4,4,4,4,1],[1,1,2,1,2,2,10,2,5,4,4,8,1,1,1,4,4,1,2,1],[1,1,2,12,1,
1,1,6,6,12,16,1,3,3,4,6,6,12,8,1,3,3,4,4,4,4,4,1,2,4,1],[1,1,2,8,8,1,4,4,6,4,
4,8,2,3,4,4,6,6,2,12,4,4,1,1,1,4,4,6,2,4,4,4,1,1,1,2,2,1],[1,1,2,12,1,1,1,6,6,
12,1,3,3,4,6,6,12,8,1,3,3,4,4,4,4,4,1,2,2,2,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,
1,1,2,2,2,4,4,8,1,1,1,2,2,4,4,4,1,2,4,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,4,4,8,1,2,
1,1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,4,4,4,4,8,1,2,4,1],[1,1,2,6,18,12,3,1,3,3,
3,3,9,6,4,8,12,24,12,24,48,1,1,1,3,3,3,3,2,3,3,3,6,3,6,3,6,6,3,9,3,6,9,3,6,6,
6,6,6,6,6,12,12,8,16,24,1,1,1,3,3,3,3,2,3,6,3,3,3,3,3,3,3,3,3,6,3,3,6,12,6,6,
6,6,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,6,4,12,2,1,3,3,2,6,6,24,1,3,3,1,
1,1,3,3,6,6,6,3,6,6,6,6,6,3,1,1,3,3,3,2,2,3,3,3,6,3,3,6,6,1,1,1,3,3,3,3,1],[1,
1,6,12,12,3,3,3,6,2,6,24,24,1,1,3,1,3,1,3,3,6,3,6,6,6,6,6,6,6,1,3,1,3,3,3,2,2,
3,6,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,6,4,12,3,3,3,2,6,6,24,1,3,1,3,1,1,3,3,6,
6,3,6,6,6,6,6,6,3,1,1,3,3,3,2,2,3,3,3,6,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,6,6,6,
12,3,3,1,3,3,9,3,6,4,8,12,12,24,1,1,1,3,3,3,3,2,6,3,3,3,6,3,6,9,6,3,3,3,3,9,6,
6,6,6,6,6,6,6,12,12,1,1,3,1,3,3,3,2,3,3,3,3,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,
12,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,6,12,12,2,1,3,3,6,2,6,24,24,1,1,1,
3,3,1,3,3,6,6,3,6,6,6,6,6,6,1,1,3,3,3,3,2,2,3,3,3,3,3,6,6,6,1,1,1,3,3,3,3,1],[
1,1,2,4,8,8,1,1,1,2,2,4,4,2,4,4,4,2,4,8,8,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,
4,2,2,2,4,4,4,4,4,4,4,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,4,4,1],[1,1,2,8,8,16,1,2,2,2,4,8,4,8,8,16,2,2,1,2,4,2,4,2,8,4,4,4,
8,8,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,4,4,4,
1,2,2,2,2,2,2,2,2,2,1,1,1,1],[1,1,2,8,12,4,3,2,1,1,4,2,6,2,2,8,8,16,1,2,2,1,1,
1,1,2,2,2,2,2,2,2,6,2,6,2,4,4,8,8,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,1,2,4,8,4,8,1,2,2,2,2,2,4,2,8,2,4,8,16,2,2,1,2,1,2,1,1,1,4,2,4,2,2,
2,2,4,8,4,4,4,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,
16,1,1,1,2,2,4,8,8,8,16,16,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,2,8,8,4,2,1,2,1,1,4,2,2,4,2,2,8,8,16,1,2,2,
1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,8,8,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,
1,1,1,1,1,1,1],[1,1,2,8,1,6,4,4,8,16,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[1,1,2,12,
24,1,1,1,2,2,2,6,4,12,12,24,16,16,32,1,2,3,1,2,6,2,2,4,2,4,4,4,4,6,2,4,6,8,12,
4,8,8,4,8,8,4,8,12,4,8,8,8,1,1,1,1,1,1,2,2,1,2,1,2,2,3,1,1,2,2,6,2,4,4,4,4,8,
8,8,8,1,1,2,1,1,1,1,1,2,2,2,1],[1,1,4,2,8,4,2,1,2,1,1,4,2,4,2,4,8,16,1,2,2,1,
1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,8,8,1,6,4,4,4,4,8,3,4,2,2,4,4,6,6,4,12,1,1,1,4,4,2,4,6,4,4,1,
1,1,2,2,1],[1,1,2,4,8,16,1,1,1,6,2,4,4,8,8,8,8,16,16,1,1,3,4,2,2,2,4,4,2,2,4,
8,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
4,1],[1,1,2,4,16,1,1,1,2,2,8,4,8,8,8,16,16,1,1,1,2,2,4,4,4,4,4,4,4,4,4,8,8,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,4,12,12,8,1,1,1,2,2,2,6,6,12,6,4,
16,8,16,24,24,16,16,1,3,1,4,2,1,2,2,2,1,1,1,8,2,2,6,2,6,6,6,4,2,2,2,6,4,2,2,4,
6,2,2,6,4,12,8,4,4,8,4,4,4,4,4,4,4,16,16,1,1,1,2,2,1,1,1,1,1,1,1,2,1,2,2,2,6,
2,2,4,6,6,2,2,4,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,
2,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,12,4,3,2,1,1,4,6,2,4,8,16,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,6,2,6,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
4,8,1,1,1,4,4,6,2,8,4,4,8,1,1,4,3,1,3,2,2,2,4,4,4,2,2,4,4,4,8,4,8,1,3,1,1,1,3,
2,3,4,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,
8,8,8,16,16,1,1,1,2,2,4,4,4,4,4,4,4,4,4,8,8,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
4,1],[1,1,2,8,8,1,6,4,4,4,4,8,3,4,2,2,2,2,4,4,4,4,4,4,8,1,1,2,1,2,4,4,4,2,2,4,
4,1,1,1,2,2,1],[1,1,2,4,4,8,4,16,1,1,1,2,2,2,2,4,4,2,4,2,8,8,8,8,8,16,16,32,
32,1,1,1,2,2,2,1,2,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,8,16,16,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,1],[
1,1,2,8,16,1,1,1,3,3,4,10,8,8,16,1,1,3,3,2,2,4,2,5,4,4,4,4,4,4,8,4,8,4,8,8,8,
8,1,1,2,3,1,2,3,1,2,2,1,2,2,4,4,4,4,4,8,1,1,2,1,2,2,2,2,2,1],[1,1,2,12,1,1,1,
6,6,2,12,2,4,1,3,3,4,6,6,2,12,2,4,4,4,1,3,3,4,4,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,
1,2,4,8,1,3,3,2,2,4,4,8,8,1,3,3,1,1,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,
2,2,4,2,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,8,2,3,4,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,
4,8,16,1,3,3,2,2,4,4,8,8,8,8,16,16,1,3,3,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,
8,1,2,2,10,4,4,2,5,4,4,4,6,6,4,12,1,1,1,4,4,4,2,6,4,4,1,1,1,2,2,1],[1,1,2,8,
16,1,6,4,12,8,8,16,32,2,3,4,4,6,4,4,4,8,8,8,4,4,8,8,8,1,1,1,1,1,1,2,2,2,1,2,2,
4,2,4,4,4,1,1,2,1,2,2,2,2,2,1],[1,1,2,8,8,8,1,2,2,2,4,4,8,4,4,8,16,2,2,1,2,2,
4,4,2,4,8,4,4,4,4,4,8,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,8,1,2,2,
6,4,2,2,4,8,16,3,2,4,1,2,1,1,2,1,4,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,2,2,4,8,1,1,1,2,2,
2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,2,2,4,8,8,1,1,1,2,1,2,2,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,8,8,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,8,1,2,2,2,4,8,4,8,16,2,2,1,2,4,4,8,8,8,1,
1,1,4,4,1,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,16,32,1,1,1,4,4,2,4,2,2,2,4,8,8,8,8,
2,1,2,2,1,1,2,4,4,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,16,1,6,4,4,8,8,16,3,4,2,2,4,2,
2,4,4,4,8,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,6,4,4,4,4,8,3,4,2,
2,2,2,4,4,4,4,4,4,8,1,1,2,2,1,4,4,4,2,2,4,4,1,1,1,2,2,1],[1,1,2,12,8,1,1,1,2,
2,2,6,12,12,4,8,1,2,3,1,2,2,2,6,4,4,8,4,8,4,4,12,4,4,4,4,8,1,1,1,1,1,2,3,2,2,
1,2,4,2,4,4,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,4,2,1,2,1,1,4,
4,2,2,4,8,1,2,2,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,8,16,1,1,1,2,6,2,12,4,2,16,8,4,16,8,8,8,
16,16,1,3,1,4,2,2,2,8,2,4,2,4,4,4,8,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,16,16,1,1,1,
1,2,2,1,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,1],[1,1,2,4,4,
12,8,1,3,3,2,2,2,2,6,4,6,4,8,8,8,16,16,1,3,3,1,1,2,1,2,2,2,2,2,1,1,1,4,6,2,2,
2,2,2,2,4,6,6,4,2,6,6,2,4,2,6,6,2,4,4,4,4,4,4,4,4,4,12,4,1,1,1,2,2,1,1,1,1,2,
1,1,1,2,2,1,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,6,2,4,6,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1],[1,1,2,4,4,8,4,1,1,1,2,
2,2,2,4,4,2,4,2,8,8,1,1,1,2,2,2,1,2,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,2,12,8,1,1,1,2,6,12,4,16,8,16,1,3,1,4,2,2,2,8,2,2,4,4,4,
4,8,8,1,1,1,1,2,1,2,2,4,2,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,8,8,
16,16,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,2,8,8,1,2,2,2,4,8,4,8,2,2,1,2,4,4,8,8,8,1,1,1,4,4,1,2,1],[1,1,2,4,4,
4,1,1,1,2,2,2,2,2,4,2,8,8,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,4,2,8,1,
1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,8,16,1,1,1,2,2,4,4,4,8,8,8,8,16,16,1,
1,1,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,2,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,8,1,1,1,2,2,2,2,4,4,4,4,8,1,2,
1,1,2,2,2,4,2,2,2,4,2,4,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,2,4,16,1,1,1,2,2,4,8,16,8,32,1,1,1,4,4,2,4,2,4,4,8,8,8,8,2,1,2,2,2,4,
2,4,2,2,2,2,1,1,1,4,1],[1,1,2,8,1,6,4,4,8,2,3,4,2,4,4,4,1,1,1,2,2,4,1,1,1,1],[
1,1,2,12,8,1,1,1,6,6,4,12,4,8,1,3,3,4,6,6,2,12,2,2,2,4,2,2,4,4,4,4,1,3,3,4,4,
1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,8,
1,2,1,1,2,2,2,2,2,4,4,4,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1],[1,1,2,4,8,1,1,1,2,2,
2,4,4,4,2,4,8,1,1,1,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,2,2,1],[1,1,2,12,16,1,1,1,6,6,12,8,8,8,16,16,1,3,3,4,6,6,2,12,2,
4,4,4,4,4,4,4,8,8,1,3,3,4,4,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[
1,1,2,8,8,1,4,4,6,4,4,8,3,4,4,6,2,6,2,12,4,4,1,4,4,1,1,6,2,2,2,4,4,1,1,1,2,2,
1],[1,1,2,4,8,1,3,3,2,2,4,4,8,1,3,3,1,1,2,2,2,2,2,4,2,4,4,4,2,4,1,1,1,1,2,1,2,
2,2,2,2,2,2,4,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,12,8,1,1,1,2,6,12,4,16,8,16,
1,3,1,4,2,2,2,8,2,4,4,4,2,8,4,8,1,1,1,1,1,2,2,2,4,2,4,2,2,2,1,1,1,2,2,1],[1,1,
2,4,16,16,1,1,1,2,2,2,4,8,2,16,4,8,8,8,16,32,16,1,1,1,4,4,2,4,2,2,2,4,4,4,4,4,
4,8,4,8,8,4,4,8,8,8,16,16,16,16,2,1,2,1,2,1,2,4,4,2,2,2,2,2,2,2,2,8,8,8,8,8,8,
1,1,1,2,2,4,4,1],[1,1,2,12,8,1,1,1,2,6,12,4,16,8,16,1,3,1,2,4,2,2,2,2,8,4,4,4,
4,8,8,1,1,1,2,1,1,2,2,2,4,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,4,
2,8,1,1,1,2,2,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,8,1,6,4,4,4,4,8,3,4,2,2,2,2,4,4,
4,4,4,4,8,1,1,2,1,4,4,4,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,8,1,3,3,2,2,2,4,4,2,8,
4,1,3,3,1,1,2,2,2,2,2,4,2,2,2,4,2,4,4,4,4,1,1,1,1,2,1,2,1,2,1,2,2,2,2,4,2,1,1,
1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,2,4,4,8,1,1,1,2,2,4,4,4,1,
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],[1,1,2,4,4,4,16,1,1,
1,2,2,2,2,2,4,2,8,8,8,8,16,16,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
2,2,1],[1,1,2,4,8,1,1,1,6,2,4,4,8,8,1,1,3,2,2,4,2,2,2,4,4,4,4,8,1,1,1,2,1,1,2,
2,2,4,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,8,1,1,1,2,2,2,2,4,4,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,2,10,2,5,4,4,8,1,1,1,4,4,1,2,1],[1,1,2,4,1,1,
1,2,2,2,4,2,4,8,1,1,1,2,2,2,2,2,2,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,
2,4,4,4,1,1,1,2,2,2,2,8,2,4,2,8,1,1,1,2,1,2,2,1,1,4,1,2,2,2,2,2,2,2,2,2,2,2,4,
1,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,12,16,1,1,1,6,6,8,12,8,
16,32,1,3,3,4,4,2,2,4,4,4,4,4,4,4,8,8,8,4,8,8,8,16,1,1,1,1,1,2,1,2,1,2,2,2,2,
4,4,4,2,2,2,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,1,2,2,10,4,8,8,4,8,2,
2,5,4,4,2,4,4,4,4,4,8,4,4,4,4,1,1,1,1,1,2,3,4,1,2,2,4,2,6,2,2,1,1,2,2,1,2,2,2,
2,1],[1,1,2,8,8,1,6,4,4,4,8,4,2,3,4,2,2,2,4,4,4,4,4,4,8,1,1,1,2,4,4,4,2,4,4,4,
1,1,1,2,2,1],[1,1,2,4,8,16,1,1,1,2,2,4,4,4,8,16,8,32,1,1,1,4,4,2,4,2,2,2,2,2,
2,4,2,2,2,4,8,8,8,4,4,8,2,1,1,1,1,2,2,1,2,4,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,
2,2,4,1],[1,1,2,8,16,1,3,3,1,1,4,4,6,8,8,16,1,3,3,1,2,2,4,4,4,4,4,3,8,2,2,8,8,
8,4,4,4,4,8,8,1,2,2,1,1,1,4,3,1,4,4,3,4,2,2,2,2,8,2,2,1,2,1,1,2,2,2,2,2,1],[1,
1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,2,2,4,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,
1,2,12,8,8,1,1,1,2,6,4,4,12,4,16,8,16,8,8,1,3,1,2,4,2,2,2,2,4,4,8,2,2,2,4,4,4,
2,4,8,4,8,4,16,16,1,1,1,2,1,2,1,2,2,2,4,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,1,2,4,8,8,1,1,1,2,2,4,4,4,4,4,8,8,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,
2,4,4,4,4,4,4,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,1,2,8,16,1,6,4,4,8,8,16,2,3,4,2,2,4,2,4,4,4,8,8,1,1,1,2,4,2,4,4,4,4,4,1,
1,1,2,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,2,4,2,8,1,2,1,1,2,1,2,2,1,1,2,1,2,
4,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,8,8,1,1,1,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,8,1,6,4,4,4,4,8,16,3,4,2,2,2,
4,2,4,4,4,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,8,1,
1,1,2,2,2,2,4,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,2,10,2,5,4,4,4,4,1,
1,1,4,2,2,1,1,1,1],[1,1,2,4,8,1,1,1,6,2,4,4,8,1,1,3,4,2,2,2,4,4,4,4,8,4,1,1,1,
2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,16,1,1,1,2,2,10,2,4,4,8,16,1,2,1,5,4,4,
4,2,2,2,8,4,4,4,8,4,8,12,4,4,4,1,1,1,1,1,2,1,4,3,2,4,2,4,4,4,4,4,2,2,2,2,1,1,
1,1,2,1,1,1,2,2,2,1],[1,1,2,4,24,1,1,1,4,2,10,4,12,24,16,16,1,1,2,6,5,4,2,4,8,
4,2,4,4,4,8,8,4,12,4,4,16,8,1,2,1,2,1,2,1,1,2,3,1,2,2,4,2,2,2,4,4,4,4,4,1,1,1,
2,2,2,2,2,2,1],[1,1,2,16,1,2,2,10,8,16,2,5,4,4,2,2,4,4,4,8,8,1,1,1,4,2,2,4,4,
4,4,4,1,1,1,2,2,1],[1,1,4,2,8,4,3,2,1,1,4,6,2,4,8,1,2,2,1,1,1,1,2,2,2,2,2,2,6,
2,2,6,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,16,1,1,
1,1,1,4,14,8,16,1,1,2,2,4,2,7,4,4,4,2,2,4,4,8,4,8,1,1,2,1,1,2,2,1,1,2,2,3,4,2,
2,2,6,2,1,2,1,1,2,2,2,2,1],[1,1,2,8,1,2,2,10,4,4,2,5,4,4,2,2,4,4,4,4,4,8,1,1,
1,4,2,4,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,6,2,2,4,4,2,8,4,1,1,3,4,2,2,2,
4,4,2,2,4,4,4,8,4,1,1,1,1,2,2,1,4,2,4,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,16,1,1,
1,2,2,4,4,4,8,8,8,8,8,16,16,1,1,1,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,
16,16,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,4,4,1],[1,1,2,4,
1,1,1,2,2,8,2,4,2,4,1,1,1,2,2,4,2,2,2,2,4,4,1,2,1,2,1,1,1,2,2,2,2,2,1,1,1,1],[
1,1,2,4,4,4,16,1,1,1,2,2,2,2,2,4,2,8,16,8,32,1,1,1,2,1,4,4,2,4,2,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,8,4,8,8,8,2,1,1,1,2,1,2,1,1,1,4,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,
2,2,2,2,2,2,1],[1,1,2,4,12,4,1,1,1,2,2,6,6,2,12,2,8,1,3,3,2,4,1,6,6,1,1,1,2,2,
2,12,2,2,2,2,2,2,2,2,2,2,1,3,3,4,4,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,8,1,3,3,2,2,4,4,4,4,8,8,1,3,3,1,1,2,2,2,
2,2,2,2,2,2,4,4,4,2,2,2,4,4,4,2,4,4,1,1,1,2,2,2,2,2,2,1,1,2,1,2,1,2,2,2,2,2,2,
2,2,4,2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,
2,2,2,2,2,2,2,2,4,2,2,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,8,1,1,1,6,2,4,4,8,1,1,3,4,2,2,2,4,4,4,4,8,4,1,1,1,2,2,2,4,4,2,4,4,
1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,8,4,1,1,1,2,2,2,2,4,4,1,2,2,1,1,2,2,2,2,2,2,1,
1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,2,2,4,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,4,1,2,
2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,4,4,2,1,2,1,1,
4,2,4,2,2,2,1,2,2,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,2,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,2,2,2,4,4,4,8,4,8,16,2,2,1,2,4,4,
4,4,2,4,2,4,8,8,4,8,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,6,4,4,4,4,
8,16,2,3,4,2,4,4,4,2,4,2,4,8,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,24,
1,1,1,6,2,8,4,12,24,16,16,1,1,3,4,2,6,2,4,4,6,4,2,6,4,2,8,4,12,8,8,16,8,1,1,1,
1,1,1,1,3,2,1,3,1,2,4,4,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,8,
1,1,1,6,2,4,4,4,4,8,8,1,1,3,2,4,2,2,2,2,4,4,4,4,2,2,2,4,2,4,8,4,4,1,1,1,2,1,1,
2,2,4,2,2,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,8,16,1,1,1,2,2,4,
4,4,8,8,8,8,16,16,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,2,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,1,1,1,2,2,
2,4,2,4,1,1,1,2,2,2,2,2,2,2,2,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,
2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,2,2,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
2,4,8,16,1,1,1,2,2,4,4,4,8,16,8,32,1,1,1,2,2,2,2,4,4,2,4,2,4,4,2,2,2,2,4,8,8,
8,4,8,2,1,2,2,1,1,2,2,1,1,4,2,4,4,2,4,2,4,2,2,2,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,
8,1,1,1,2,2,4,4,8,4,8,8,1,1,1,2,2,2,2,4,4,4,2,2,2,2,4,4,4,1,2,2,2,1,1,2,2,2,2,
2,2,2,2,2,1,1,1,4,1],[1,1,2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,4,4,2,2,2,2,2,
2,2,2,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,
4,8,1,1,1,2,2,8,4,4,4,8,1,1,1,2,2,4,2,2,2,2,2,4,2,2,2,4,4,4,1,2,1,1,1,2,1,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,2,4,2,4,8,1,1,1,2,2,2,2,4,
4,2,2,2,2,2,2,4,4,4,4,4,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,
8,1,1,1,2,2,2,2,4,4,4,4,8,1,2,1,1,2,2,2,2,2,4,4,4,2,2,2,4,2,4,4,4,1,1,1,2,2,1,
1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,2,4,2,4,1,1,1,2,2,2,2,4,4,
4,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,8,16,1,4,4,6,4,4,8,8,16,1,4,3,2,3,
4,2,4,6,4,6,4,4,12,8,8,8,12,8,1,3,1,1,3,1,3,2,2,2,2,4,2,2,6,4,4,8,1,1,2,2,1,2,
2,2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,1,
1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,4,4,2,2,2,2,4,4,4,4,1,2,1,1,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,2,2,1],[1,1,2,20,8,1,1,1,4,10,10,20,4,16,8,16,1,5,2,4,2,5,4,8,6,8,6,4,
8,4,4,20,4,4,16,1,1,2,1,5,2,1,1,2,3,2,4,4,4,2,4,2,2,4,4,1,1,1,2,2,2,2,2,2,1],[
1,1,2,4,8,1,1,1,2,2,4,4,4,8,1,1,1,2,2,2,2,2,2,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,
1,1],[1,1,2,1,2,2,10,2,5,4,4,8,1,1,1,4,4,1,2,1],[1,1,2,16,16,1,2,2,2,8,8,16,8,
16,16,16,32,2,4,1,4,4,4,8,4,4,4,4,4,12,8,8,8,8,4,12,4,8,8,16,1,1,1,1,1,2,2,2,
2,2,4,2,2,2,6,2,2,8,8,8,8,1,2,1,1,2,2,2,2,2,1],[1,1,2,8,1,6,4,4,8,3,4,2,2,8,4,
1,1,1,4,2,2,2,1,1],[1,1,4,2,4,3,2,1,1,4,2,6,2,2,1,2,2,1,1,1,1,2,2,2,2,2,2,2,6,
2,6,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,4,4,
8,3,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,12,4,1,3,1,4,2,6,2,4,8,16,2,1,1,
2,1,2,2,2,1,2,4,3,2,2,2,2,2,2,2,2,4,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,4,2,1,1,
1,1,1,1,1,1],[1,1,6,12,8,2,1,3,3,2,6,2,4,8,12,4,4,4,1,1,1,1,2,2,1,2,4,3,2,2,2,
2,3,4,2,6,2,2,2,4,4,4,4,1,1,1,2,2,1,1,1,1,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,6,4,8,1,3,3,2,6,4,4,8,3,1,1,3,6,6,3,2,2,2,2,2,6,2,6,1,1,1,3,2,3,1,1,6,2,2,
2,4,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,4,8,2,1,2,1,1,2,2,2,4,2,8,4,16,8,16,1,1,1,
1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,4,4,4,4,1,1,1,1,1,2,1,1,1,2,2,1,
1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,6,2,2,
4,8,3,4,1,1,1,1,2,2,2,4,2,2,2,1,1,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,16,1,1,1,4,2,6,4,8,8,8,16,16,1,1,2,3,2,2,4,4,4,4,4,8,4,4,4,8,1,2,1,1,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,12,16,1,1,1,6,6,12,8,8,8,16,16,1,3,3,
4,6,6,4,4,2,12,2,4,4,4,8,4,4,8,1,3,3,4,4,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,
2,2,2,2,4,1],[1,1,6,12,8,3,3,3,2,6,2,4,8,12,4,4,4,1,1,1,3,3,2,3,2,2,6,6,3,2,6,
2,2,2,4,4,4,4,1,1,3,3,1,1,3,2,2,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,2,
2,4,8,4,8,1,2,2,4,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,2,8,6,4,8,2,1,1,1,1,1,4,3,3,2,8,4,4,4,4,8,16,16,1,2,2,1,1,2,2,
1,2,1,1,2,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,8,8,2,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,
10,4,8,1,1,1,1,3,4,1,5,2,4,4,4,16,12,4,4,4,4,8,8,2,1,1,3,2,1,2,2,1,2,2,2,1,2,
1,4,1,1,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,12,16,1,1,1,
2,2,2,2,6,4,6,8,16,16,16,8,8,32,32,1,1,1,2,1,2,4,2,1,1,1,4,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,6,4,2,2,2,2,2,2,2,8,8,4,4,8,8,8,8,4,8,8,8,4,8,16,16,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,1,1,1,1,2,2,2,2,4,6,2,2,2,2,4,
4,4,2,2,2,4,2,4,6,2,8,2,2,4,2,2,8,2,2,2,4,1,1,1,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,1],[1,1,2,4,24,1,1,1,4,2,10,4,12,24,16,16,1,1,2,6,5,4,4,2,4,2,8,2,4,4,4,8,6,
8,2,6,4,20,8,1,1,1,1,1,1,1,1,1,1,2,2,1,2,3,5,2,1,1,3,3,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1],[1,1,2,4,8,4,1,6,2,4,4,4,4,2,4,8,8,1,3,4,1,1,2,1,1,2,1,4,2,2,
2,4,4,2,2,2,2,2,2,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
6,8,12,2,1,3,3,4,6,4,8,12,8,4,1,1,2,1,2,1,2,2,1,2,4,3,2,2,2,3,4,2,2,2,6,8,8,2,
1,1,1,2,2,1,1,1,1,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,8,12,2,1,2,3,3,2,
4,6,8,16,24,1,1,3,3,1,1,6,3,1,4,2,2,6,2,2,2,1,2,6,4,4,4,6,1,1,3,1,2,3,2,1,1,1,
2,2,1,1,1,2,2,6,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,12,1,2,2,
2,2,4,4,4,6,12,8,8,2,1,1,3,1,1,1,4,4,2,1,4,2,2,2,4,4,4,2,4,2,2,2,2,4,2,1,2,1,
1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,4,8,1,2,1,3,2,2,4,2,
2,4,4,8,4,4,4,8,2,1,1,1,1,2,4,2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,3,3,6,4,4,8,
12,4,4,4,1,1,1,3,3,2,3,2,6,2,6,3,2,6,2,2,2,8,8,1,1,3,3,1,1,3,2,2,2,2,2,2,6,1,
1,1,1,1,1,1,1],[1,1,2,8,4,4,1,3,1,4,6,2,2,4,8,1,2,1,2,4,1,2,2,2,3,2,1,2,2,2,2,
2,2,2,2,4,4,1,1,1,2,1,1,1,1,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,16,
1,1,1,2,2,2,2,12,4,8,16,1,2,1,1,2,4,2,6,4,4,2,2,2,2,2,2,2,2,2,10,4,2,10,12,8,
1,1,1,1,1,2,1,1,2,1,1,1,1,2,2,1,3,2,1,1,5,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,2,2,8,6,4,8,1,1,3,3,1,4,1,3,2,8,4,4,4,4,8,16,16,1,2,3,1,1,1,1,2,3,
2,1,2,2,2,1,3,2,1,2,2,2,2,2,2,2,2,4,4,4,4,4,8,8,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,10,12,2,1,1,
3,3,3,7,5,6,4,8,12,8,4,8,16,1,1,1,3,1,2,2,1,2,1,2,4,6,4,3,1,3,4,4,5,2,2,3,2,2,
3,1,3,4,2,3,1,2,10,6,6,6,6,2,6,8,4,4,8,8,1,1,2,1,1,1,2,1,2,2,2,4,1,2,2,2,2,2,
2,1,3,1,2,1,2,3,1,3,1,2,1,1,1,2,1,2,2,2,2,2,2,2,6,4,2,4,4,4,2,4,6,2,6,6,4,4,4,
2,2,4,2,2,4,2,2,1,1,2,2,1,1,1,2,1,1,2,2,2,4,2,2,2,2,1],[1,1,4,6,8,4,4,1,2,1,3,
4,4,2,2,4,4,8,8,4,8,1,2,1,1,1,2,2,2,2,2,1,1,1,2,2,4,4,2,2,2,2,2,2,2,2,8,8,1,1,
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],[1,1,2,4,8,12,1,2,2,4,4,4,
4,6,12,8,8,1,1,3,1,2,1,1,2,2,1,4,2,2,4,4,2,4,2,2,2,2,2,8,8,1,1,1,1,1,1,2,2,1,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,16,1,1,1,4,6,10,12,8,16,16,16,
1,3,2,4,5,4,2,4,2,4,4,8,4,4,4,8,8,4,4,4,4,4,8,16,1,1,1,1,1,2,1,1,1,2,1,1,1,2,
4,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,4,8,1,3,1,
2,6,2,8,4,4,4,4,16,2,1,1,2,1,2,1,2,4,3,2,2,2,2,2,2,2,2,2,4,2,4,8,8,1,1,1,2,1,
1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,8,1,2,8,4,4,4,16,16,16,
8,4,1,4,2,4,8,4,4,2,4,2,4,8,8,4,16,1,1,2,1,2,4,2,2,4,4,4,4,1,1,2,1,2,1],[1,1,
4,6,12,3,2,3,3,6,6,24,1,1,3,3,1,1,2,3,2,1,6,6,6,6,2,1,2,6,4,4,6,1,2,1,1,3,2,3,
1,1,1,1,2,1,1,2,2,2,2,6,2,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,8,1,
1,1,4,4,4,4,8,4,8,8,2,1,1,2,1,2,2,1,2,2,2,2,1,2,2,2,2,2,8,8,1,1,1,1,1,2,1,2,1,
2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,12,4,8,3,2,1,1,2,2,6,2,8,4,8,16,16,
1,1,1,1,1,1,1,1,1,2,2,2,2,6,2,6,2,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,1,1,2,1,1,1,2,
1,1,2,1,4,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,2,4,8,1,
1,1,1,3,4,2,5,1,2,2,4,4,4,4,4,4,4,2,1,1,2,1,2,2,1,2,4,3,2,2,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,2,4,1,1,1,1,3,5,1,2,4,4,4,1,2,
1,2,1,1,4,3,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,8,4,8,8,16,1,2,4,4,4,4,2,2,4,4,8,8,1,1,1,
2,2,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,4,6,4,4,1,2,1,3,4,4,2,2,4,4,8,4,8,2,1,1,1,
1,2,2,2,2,2,2,1,1,1,2,4,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,12,8,4,1,2,6,4,4,12,4,2,4,8,8,3,1,1,1,2,1,1,4,2,2,1,
4,2,2,4,4,2,2,2,8,2,2,2,8,1,2,1,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,12,4,8,1,3,1,2,6,2,8,4,4,4,4,16,2,1,1,2,1,2,1,2,4,3,2,2,2,2,2,2,2,2,
2,4,2,4,8,8,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,
8,2,1,3,3,6,4,4,8,12,4,4,4,1,1,1,1,2,2,1,2,4,3,2,2,2,2,3,4,2,6,2,2,2,8,8,1,1,
1,2,2,1,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,8,6,4,8,3,1,1,1,1,4,
3,3,2,8,4,4,4,4,8,16,16,1,2,2,1,1,1,2,1,1,2,3,2,3,1,3,2,3,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,8,8,2,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,2,2,2,2,1],[1,1,6,8,4,8,1,2,1,3,2,4,2,4,4,4,8,4,4,4,8,1,2,1,1,1,4,2,
2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,6,8,12,3,3,3,4,6,4,8,12,8,4,1,2,1,1,2,3,3,2,3,2,6,6,3,2,
2,2,6,8,8,2,1,1,3,2,1,3,1,3,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,1,1,1,2,
6,4,4,8,8,8,8,16,16,1,1,2,3,4,2,2,4,4,2,4,2,4,4,4,4,4,8,4,4,8,8,1,1,1,2,1,2,1,
2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,8,1,1,1,1,1,4,2,8,4,
8,1,1,2,2,1,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,2,1,1,1,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,4,8,8,1,2,1,1,2,2,2,2,4,2,4,8,8,16,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,8,8,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,
8,1,6,2,2,4,8,3,4,2,1,1,4,1,1,2,2,2,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,8,8,1,3,3,4,8,4,8,3,1,1,3,3,2,2,2,2,2,2,2,2,1,1,3,1,1,1,3,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,1,1,1,1,4,2,4,8,8,16,1,1,2,2,1,4,2,2,4,4,
4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,12,2,1,3,3,4,6,4,8,12,
4,1,2,2,1,1,1,2,2,1,2,4,3,2,2,2,2,3,4,2,2,6,2,1,1,1,2,2,1,1,2,1,1,2,2,2,2,4,2,
2,1,1,1,1,1,1,1,1],[1,1,4,6,4,4,8,1,2,1,3,2,4,2,2,2,4,4,8,4,4,4,8,1,2,1,1,1,2,
2,2,2,1,1,1,2,4,2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,8,3,2,1,1,6,2,8,4,4,4,4,16,1,1,1,1,1,2,2,2,
2,6,2,6,2,2,2,2,2,2,4,4,8,8,2,1,1,1,2,1,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,8,8,8,1,2,4,4,4,4,8,4,8,16,16,8,2,1,2,2,4,4,4,2,4,4,2,4,8,8,4,8,16,
1,1,1,2,2,4,2,2,4,4,4,4,1,1,2,1,2,1],[1,1,2,4,12,4,4,1,2,2,2,6,4,2,12,2,2,4,8,
8,3,1,2,1,1,1,2,1,2,2,4,2,2,1,2,2,2,2,4,2,8,2,2,2,2,8,1,2,1,1,1,1,1,2,2,2,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,2,4,4,8,4,8,16,8,2,1,2,2,4,4,4,4,
8,8,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,6,4,1,1,3,3,1,1,3,2,4,4,4,8,2,1,3,1,1,1,1,
3,2,1,2,2,2,1,3,1,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,6,2,2,4,8,1,3,1,3,1,4,3,1,2,4,4,4,4,8,2,1,1,3,1,2,1,1,2,3,2,1,2,
2,1,1,3,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,6,4,8,3,1,1,1,1,4,3,3,2,
4,4,4,4,8,1,2,2,1,1,1,2,1,2,1,2,3,2,3,1,3,3,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,1,1,
1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,8,24,1,1,1,1,1,4,4,6,8,12,24,16,16,32,1,1,2,2,4,6,2,4,2,3,4,2,2,4,2,
2,2,4,2,8,4,4,8,8,8,8,4,4,4,4,4,8,8,8,1,1,2,1,1,1,1,2,1,2,1,1,1,1,1,1,4,4,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,4,2,
4,4,2,4,8,8,2,1,1,2,1,2,2,2,2,2,1,2,1,2,2,2,2,2,8,8,1,1,1,1,1,2,1,2,1,2,2,2,2,
4,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,16,1,3,3,1,1,6,8,16,1,3,3,1,3,4,4,4,4,4,4,4,4,
1,3,3,2,2,4,2,2,4,1,1,2,1,2,1],[1,1,6,8,8,1,3,3,4,8,4,8,1,3,1,3,2,3,2,2,2,2,2,
2,2,1,1,3,1,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,3,3,6,4,4,8,24,1,
1,3,3,2,3,6,2,6,2,2,2,6,2,6,8,8,1,1,1,3,2,3,1,1,6,2,2,2,2,4,1,1,1,1,1,1,1,1],[
1,1,2,16,1,1,1,1,1,10,8,16,1,1,5,4,4,4,2,4,2,4,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,1],[1,1,6,12,3,3,3,4,6,4,8,12,4,1,2,1,2,1,3,3,2,3,2,2,6,6,3,2,2,
6,2,1,1,3,1,3,1,3,2,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,6,2,2,4,1,3,1,3,1,3,1,2,4,
4,4,8,2,1,1,3,1,2,1,1,3,1,2,2,1,1,3,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,4,2,1,1,1,1,1,3,3,2,4,4,4,8,1,1,1,2,2,
1,1,1,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,3,1,6,2,2,4,4,4,4,2,1,1,2,4,1,2,2,3,2,1,2,2,
2,2,2,2,2,2,4,2,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
2,4,8,8,8,1,2,2,2,4,4,4,8,16,4,8,16,2,1,2,1,1,4,4,4,1,2,2,4,1,2,2,8,2,2,4,2,4,
4,4,4,1,1,1,1,1,2,1,2,1,1,1,4,2,2,4,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,2,4,4,4,4,1,2,2,6,2,4,2,4,2,2,4,8,8,1,3,2,4,1,1,1,2,1,2,2,2,2,2,1,2,
2,2,4,2,2,2,2,2,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
8,8,4,8,1,2,4,4,4,2,8,2,16,4,8,16,2,1,1,1,4,4,4,1,2,4,2,1,2,2,2,8,2,2,4,2,4,4,
4,4,1,1,1,1,2,2,1,1,1,4,1,2,1,2,2,4,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,2,6,4,8,2,1,1,1,1,1,4,3,3,2,4,4,4,4,8,1,2,2,1,1,2,2,1,2,1,2,1,2,1,1,
1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,2,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,6,8,10,4,8,1,1,1,1,3,4,
2,1,5,2,2,4,4,8,16,12,4,4,4,4,8,8,16,16,1,2,1,3,2,2,1,2,1,2,2,1,2,1,4,1,2,1,2,
2,2,2,2,2,2,2,2,2,8,8,4,4,4,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
2,4,8,8,1,1,1,2,2,4,4,8,8,1,2,1,2,1,2,1,2,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,1,1,3,3,6,8,16,1,1,3,3,3,4,4,4,4,4,4,4,
4,1,3,3,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,2,6,4,3,1,1,1,1,2,3,3,2,2,4,4,8,1,1,1,
1,2,1,1,2,2,3,2,3,1,3,3,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,2,8,4,16,16,8,4,1,4,2,8,4,4,4,8,1,1,2,1,2,2,
2,1,1,1,1],[1,1,2,4,4,4,12,1,2,2,2,2,2,2,2,4,2,6,12,8,8,2,1,1,2,1,3,1,1,4,2,4,
2,2,2,2,1,2,2,2,4,4,2,4,2,2,2,2,4,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,4,6,4,4,8,1,2,1,3,4,2,2,4,4,4,8,4,4,4,8,2,1,1,1,1,2,2,2,2,1,1,
1,2,4,2,4,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,8,1,1,1,2,6,2,4,4,2,8,4,1,1,2,3,4,2,2,2,2,4,4,4,4,4,4,8,1,1,
1,2,2,1,2,1,2,2,2,4,4,2,1,1,1,2,2,1],[1,1,2,4,8,16,1,3,3,2,2,4,4,8,8,8,8,16,
16,1,3,3,1,2,1,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,2,8,2,4,8,1,3,1,3,1,4,3,1,2,8,4,
4,4,4,8,16,16,1,2,1,3,1,2,1,1,2,2,3,1,2,1,1,2,3,2,2,2,2,2,2,2,2,2,4,4,4,4,4,8,
8,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,4,16,1,1,1,2,2,4,8,16,16,16,1,1,4,1,2,4,4,2,4,4,4,8,2,2,4,8,
4,1,2,1,1,2,1,1,4,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,4,2,8,4,8,2,1,2,1,1,2,4,2,8,4,
4,4,4,16,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,8,8,1,1,1,2,1,1,1,2,1,2,
2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,8,1,2,1,1,2,2,2,2,4,2,4,8,8,16,
1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,4,8,1,1,3,3,1,4,1,3,2,4,4,4,4,8,2,1,3,1,1,1,1,
2,2,3,2,2,1,2,2,1,3,1,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,6,1,2,3,3,2,4,
3,1,1,3,1,1,3,1,2,2,2,1,2,1,3,1,1,1,1,1,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,
2,4,1,1,1,1,3,5,1,2,4,4,4,2,1,1,2,1,2,1,4,3,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,4,2,6,2,4,2,
4,1,1,2,3,2,2,2,2,4,4,2,2,1,2,1,1,2,1,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,2,6,4,2,1,
1,1,1,1,2,3,3,2,2,4,4,8,1,1,1,2,2,1,2,2,1,1,2,1,1,1,2,1,1,2,2,2,2,2,2,2,4,2,4,
4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,4,1,1,3,3,
1,2,1,3,2,2,4,4,8,2,1,3,1,1,1,1,2,3,2,1,2,2,1,3,1,2,2,2,2,2,2,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,1,1,4,4,14,8,4,
8,1,1,2,2,2,2,2,7,4,4,2,2,2,2,2,2,2,4,2,2,2,4,8,1,1,1,1,2,1,3,1,3,1,1,1,1,3,2,
1,1,2,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,1,6,6,14,12,2,1,3,1,3,3,5,7,6,
4,8,12,16,20,40,32,1,1,1,1,2,2,1,3,1,2,2,4,2,2,3,5,3,2,2,1,2,6,1,2,4,3,3,3,4,
4,1,3,4,2,6,6,6,6,10,6,4,8,8,8,4,8,16,24,1,1,1,1,2,1,2,2,1,2,2,3,2,2,2,2,2,3,
1,1,3,2,2,1,1,1,1,4,1,1,2,2,2,1,2,1,2,2,6,4,6,4,4,4,2,2,4,2,4,2,2,2,2,4,2,2,4,
2,6,4,4,6,2,2,2,1,1,2,1,1,2,1,2,1,1,2,2,2,2,2,2,2,4,1],[1,1,2,2,6,4,3,1,1,1,1,
3,3,2,4,4,4,8,1,1,1,1,2,1,1,2,2,3,2,3,1,3,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,10,4,1,1,1,1,3,1,5,2,4,4,16,12,
8,8,1,2,1,3,2,1,2,1,2,2,1,2,1,4,1,1,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,10,4,1,1,1,1,3,1,5,2,4,4,16,12,8,8,
2,1,1,3,1,2,1,2,2,2,1,2,1,4,1,1,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,1,3,3,6,2,4,4,24,1,3,1,3,2,6,3,2,2,2,6,
2,6,2,6,1,1,1,3,2,3,1,1,2,6,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,2,2,4,
4,4,2,4,8,1,2,1,1,1,2,1,2,1,2,2,1,4,2,2,2,2,2,2,2,4,2,4,4,2,1,1,1,2,1,1,1,1,1,
1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,3,3,2,2,2,3,1,1,1,3,1,2,3,2,
1,2,1,2,1,1,3,1,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,2,1,3,3,2,6,2,
4,8,24,1,1,3,3,6,2,2,3,6,2,2,2,6,2,6,8,8,1,3,1,1,2,3,1,1,6,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,1,2,4,4,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,2,1,2,2,2,1,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,2,2,4,1,3,1,3,1,2,3,1,2,2,4,4,8,2,
1,1,3,1,2,1,1,2,3,1,2,1,1,3,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,1,1,1,6,6,2,12,2,4,1,3,3,4,6,2,2,6,4,4,12,
4,1,3,3,4,4,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,3,3,2,2,2,4,4,2,8,4,1,3,3,
1,2,1,2,2,2,2,2,2,4,4,4,2,4,2,4,4,1,1,1,2,2,1,2,2,1,2,1,1,2,4,2,2,1,1,1,1,1,1,
1,1],[1,1,2,8,4,8,2,1,1,1,4,2,8,4,8,1,2,2,1,1,2,2,1,2,2,1,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,2,1,3,3,6,4,4,8,24,1,1,3,3,6,
3,2,2,6,2,2,2,6,2,6,8,8,1,1,3,1,2,3,1,1,2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,
4,8,8,1,2,1,1,2,2,2,4,4,4,8,8,16,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
8,8,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,24,1,1,1,1,1,
4,4,6,8,12,24,16,16,32,1,1,2,2,2,6,2,3,4,4,2,4,4,4,4,4,4,2,4,4,8,2,4,8,8,4,8,
2,4,2,2,8,12,8,1,1,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,2,3,3,2,1,1,1,1,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,1,2,3,3,2,2,2,1,3,1,3,1,1,2,3,1,
2,2,1,2,1,3,1,1,1,1,1,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,2,2,4,8,4,
8,2,1,2,1,1,1,2,4,1,2,4,2,2,2,1,1,1,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,4,3,1,1,2,2,2,2,2,1,1,1,1,1,1,1,2,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,3,3,2,6,2,4,8,24,1,1,3,3,2,3,2,6,6,2,2,
2,6,2,6,8,8,1,1,1,3,2,3,1,1,2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,4,4,
4,8,16,16,1,4,2,2,4,2,2,4,2,4,4,4,4,8,4,4,8,1,1,1,1,2,1,2,2,2,4,2,4,4,2,2,1,1,
1,1,1,1,1,1],[1,1,2,8,16,1,2,4,8,8,8,16,2,1,4,4,4,4,2,4,2,4,8,8,1,1,1,2,2,2,2,
4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,8,2,1,4,4,2,2,2,4,2,1,1,1,2,2,2,2,1,1,
1,1],[1,1,2,4,4,1,2,2,2,2,2,2,2,2,1,2,1,1,2,2,2,1,2,2,1,2,2,1,1,1,2,1,1,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,12,1,1,1,2,4,4,8,4,6,12,32,8,1,2,1,3,1,
1,2,1,4,2,4,2,2,1,4,2,2,4,8,2,8,4,2,2,2,2,4,2,8,1,1,2,1,1,2,1,1,1,1,2,1,2,2,1,
1,2,2,2,2,4,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,16,16,1,1,1,2,2,
2,4,8,2,16,4,16,8,8,8,16,16,16,1,1,4,1,2,4,2,4,2,2,4,4,4,4,4,4,4,8,4,4,4,4,8,
4,8,8,4,8,8,16,8,8,8,8,1,2,1,1,2,2,1,1,2,2,4,2,2,2,4,2,4,2,2,4,4,4,8,4,8,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,2,8,24,1,2,2,2,4,8,8,12,24,16,16,32,2,2,1,6,4,4,2,6,
6,2,4,8,6,4,8,8,4,8,4,6,8,6,6,8,12,8,1,1,1,3,2,1,2,1,1,2,1,1,2,1,3,2,1,3,3,3,
4,4,8,8,4,4,1,1,1,1,1,1,1,2,1,1,1,1,2,1],[1,1,2,8,8,16,1,1,1,1,1,4,2,8,4,8,8,
16,1,1,2,2,1,4,4,4,4,2,4,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,1],[1,1,2,16,1,4,4,6,8,16,1,4,3,3,4,4,4,8,8,4,1,3,3,2,4,2,4,4,1,1,1,2,2,1],[
1,1,2,8,16,1,2,2,2,4,4,8,8,16,2,1,2,2,2,2,4,4,4,4,4,8,8,4,1,1,1,2,2,2,4,2,4,4,
1,1,1,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,8,1,2,1,2,1,2,2,1,2,2,1,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,4,1,2,1,3,4,2,4,2,4,4,8,8,
4,8,1,2,1,1,1,2,4,2,2,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,8,8,1,1,1,2,1,2,1,1,1,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,2,6,4,8,3,2,4,1,1,1,2,2,1,4,
2,2,2,1,1,1,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,2,2,4,8,4,
8,1,2,2,4,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,12,12,3,2,3,3,6,6,8,24,16,1,1,1,3,3,1,3,2,1,6,6,2,6,2,6,1,2,6,4,4,6,
1,2,1,1,3,2,3,1,2,1,1,2,1,1,1,2,4,2,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,4,4,3,1,1,2,2,2,4,1,1,1,1,1,1,1,2,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,1,1,4,4,4,4,8,4,8,8,1,1,2,2,1,2,2,2,1,
2,2,2,1,2,2,2,2,2,8,8,1,1,1,1,1,2,1,1,2,2,4,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,
4,2,4,8,8,1,2,1,1,2,2,2,4,4,4,8,8,16,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,8,8,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,
10,1,1,5,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,8,16,1,1,1,1,1,6,4,8,8,16,1,1,
2,2,2,3,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,4,2,2,1,1,2,1,2,1],[1,1,2,4,4,1,2,
2,2,2,2,4,1,2,1,1,2,2,2,2,1,2,1,2,2,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,4,4,8,2,1,2,1,1,4,2,2,4,4,4,4,1,1,1,1,1,2,4,2,2,2,2,2,2,4,2,2,2,2,
2,4,2,4,1,1,1,2,2,2,1,1,1,1,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,2,
6,2,4,2,3,1,1,3,2,2,6,6,3,2,2,2,6,2,6,1,1,3,1,2,3,1,1,2,6,2,2,2,4,1,1,1,1,1,1,
1,1],[1,1,2,4,4,1,2,2,2,4,2,2,1,1,2,1,2,2,1,2,2,2,2,1,2,2,1,1,1,2,1,1,1,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,12,1,2,2,2,2,4,2,4,2,6,12,8,8,1,1,2,1,3,
1,2,1,2,2,2,2,1,2,2,2,2,4,2,4,2,2,2,2,8,8,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,4,2,4,4,8,3,2,1,1,2,2,6,2,4,8,16,1,1,1,1,1,1,1,1,1,2,
2,2,6,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,1,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,
2,4,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,6,4,8,1,2,3,3,2,6,2,4,8,16,3,
1,1,3,1,1,6,6,3,1,2,2,2,1,6,2,2,2,6,4,4,4,4,1,3,1,1,2,1,1,3,1,1,1,1,2,2,2,6,2,
2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,4,8,1,2,3,3,2,6,2,4,8,16,
3,1,1,1,3,1,6,2,6,3,2,1,2,1,6,2,2,2,6,4,4,4,4,1,1,3,1,2,1,1,3,1,1,1,2,1,2,6,2,
2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,12,4,8,1,2,3,3,6,2,2,24,4,
8,16,1,3,1,1,3,1,6,3,2,1,2,2,6,1,6,2,2,2,6,4,4,4,4,1,1,1,3,2,1,1,3,2,1,1,1,1,
2,2,2,6,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,4,12,1,1,1,2,2,
2,4,2,8,2,6,12,8,32,1,2,1,2,1,3,1,2,2,1,2,4,4,2,2,1,2,4,2,2,2,2,8,2,8,4,2,2,2,
2,8,1,2,1,1,1,2,1,1,1,2,1,1,2,2,1,1,2,4,4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,6,4,1,2,3,3,2,4,1,3,1,1,3,1,3,2,1,2,2,1,2,1,3,1,1,1,1,1,1,1,3,1,
2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,8,3,1,1,4,2,8,4,8,1,2,2,1,1,2,1,2,2,2,1,2,2,2,
2,2,2,1,1,1,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,8,8,1,2,1,1,4,2,4,
8,8,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,4,2,4,8,3,2,1,1,6,2,4,4,4,4,1,1,1,1,1,2,2,2,6,2,6,2,2,2,2,2,2,2,4,4,
2,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,8,1,2,1,1,4,2,4,
8,2,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,4,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1,2,2,2,1,2,2,2,1,1,1,2,1,1,1,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,1,1,4,2,4,8,2,1,1,1,2,1,1,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,8,2,4,8,1,1,1,1,
3,4,5,1,2,4,4,4,8,4,4,4,4,4,16,16,1,2,1,2,1,2,1,4,3,2,2,2,1,1,1,2,1,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,12,4,1,3,1,4,2,2,6,2,2,8,8,16,
1,2,1,2,1,2,2,1,2,4,3,2,2,2,2,2,2,2,2,2,4,4,8,8,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,
4,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,4,1,2,1,3,4,2,4,2,4,4,8,4,8,2,1,1,1,1,2,2,2,4,
2,2,1,1,1,2,2,2,4,2,2,2,2,2,2,2,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,4,16,1,2,2,2,2,2,2,2,8,16,16,2,1,2,1,1,2,2,1,2,1,2,4,4,2,4,
8,8,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,12,2,1,
2,3,3,4,2,6,24,1,1,1,3,3,1,6,4,2,3,2,2,1,2,6,2,1,4,2,6,4,4,6,1,1,1,3,2,3,2,1,
1,2,2,1,2,1,1,1,2,2,2,2,6,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,6,12,8,1,
2,3,3,6,2,2,24,4,8,16,1,3,1,3,1,1,6,2,3,1,6,2,2,1,6,2,2,2,6,4,4,4,4,1,1,3,1,2,
1,2,1,3,1,1,1,1,2,2,6,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,
8,1,1,1,2,2,4,4,8,8,1,2,1,2,1,1,2,2,2,2,1,2,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,16,1,2,2,2,4,2,2,8,16,16,1,2,1,4,1,1,2,1,4,2,
2,2,4,4,4,4,4,8,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,
4,16,1,1,1,2,2,4,8,16,16,16,1,1,1,2,4,2,4,2,4,2,2,2,4,2,2,8,4,4,8,1,1,1,1,1,1,
1,1,1,2,2,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,8,1,2,1,1,4,2,4,8,8,1,1,2,1,2,
1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,
8,8,1,6,2,2,4,4,4,8,16,3,4,2,2,2,4,1,1,1,4,4,4,1,2,2,2,8,2,2,4,4,4,4,1,2,1,4,
4,1,4,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,
4,4,8,8,1,2,2,2,2,2,2,2,4,8,4,16,8,16,1,2,1,2,1,1,1,2,4,1,2,1,1,2,2,1,4,2,2,2,
4,2,4,4,2,4,4,4,4,1,1,1,1,2,1,2,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,16,1,2,2,2,2,2,2,2,8,16,16,2,1,1,1,2,1,2,2,
1,2,2,4,4,2,4,8,4,8,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,
1,2,8,4,8,1,6,4,4,2,2,4,8,16,3,4,1,1,4,1,6,1,2,2,6,2,2,2,12,2,4,4,4,4,1,1,1,4,
4,1,2,1,1,2,1,1,6,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,
8,1,3,1,6,2,2,4,4,4,4,2,1,1,2,4,1,2,2,3,2,1,2,2,2,2,2,2,2,2,4,2,4,1,1,1,2,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,8,8,1,2,2,2,2,2,2,2,4,
8,4,16,8,16,1,2,1,2,1,1,1,2,4,1,2,1,1,2,2,1,4,2,2,2,4,2,4,4,2,4,4,4,4,1,1,1,1,
2,2,1,2,2,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,2,8,12,1,1,1,6,4,4,6,12,8,1,3,4,3,1,1,6,1,2,6,1,4,2,2,2,2,12,2,2,2,2,4,2,1,
1,3,1,3,4,4,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,8,4,8,1,4,4,6,2,2,4,8,16,3,4,4,6,6,2,1,12,1,1,1,2,2,2,2,2,4,4,4,4,1,4,4,
6,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,
1,2,8,4,8,1,2,4,4,2,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,8,
2,2,2,4,8,1,1,2,1,1,1,4,2,2,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,
2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,3,3,1,1,6,1,3,3,1,3,2,2,4,1,3,3,2,
2,1,1,1,1],[1,1,2,4,8,1,6,2,2,4,8,3,4,2,1,1,1,1,4,2,2,2,2,2,1,2,1,1,1,1,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,16,1,2,2,2,4,2,2,8,16,16,1,1,2,1,2,1,2,
2,2,1,2,4,4,2,4,8,8,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,2,4,4,12,1,1,1,2,2,6,2,2,6,12,8,1,3,2,4,1,3,1,6,2,1,2,2,2,6,1,2,2,2,2,2,
12,2,2,2,2,1,1,3,1,3,4,4,1,1,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,6,8,1,3,3,4,4,8,3,1,1,3,2,2,3,2,2,2,2,2,2,1,1,3,1,1,1,3,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,3,3,6,1,1,3,3,3,4,2,2,1,3,3,2,2,1,1,1,
1],[1,1,2,8,1,1,1,1,1,4,2,4,8,1,1,2,2,1,4,2,2,4,4,2,2,1,1,1,2,2,2,2,1,1,1,1],[
1,1,6,12,8,1,3,3,6,2,2,4,2,24,8,1,3,1,3,2,6,3,2,2,2,6,2,6,2,6,8,8,1,1,3,1,2,3,
1,1,6,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,3,1,4,2,6,2,2,2,2,1,1,2,4,1,2,2,
2,2,3,2,1,2,2,2,2,2,2,2,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,
1],[1,1,2,16,16,1,1,1,1,1,4,8,6,16,8,16,16,16,32,1,1,4,2,4,4,2,2,3,8,2,2,4,6,
2,2,4,6,6,8,8,8,4,8,8,2,4,6,2,8,4,8,1,1,1,1,2,2,1,1,1,1,1,3,1,1,2,1,4,2,4,1,1,
2,3,3,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,
2,2,2,4,2,2,2,4,8,1,2,1,2,1,1,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,2,2,4,2,2,4,1,1,1,
2,1,1,1,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,8,4,4,2,4,
8,1,1,1,1,4,1,2,1,2,2,2,1,4,2,2,2,2,2,2,2,4,2,1,1,1,1,1,2,1,1,1,1,2,1,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,8,2,1,2,1,1,2,2,4,2,2,4,8,16,1,1,1,1,1,1,
1,1,1,2,4,2,2,2,2,2,2,4,2,2,2,2,4,2,2,4,4,4,4,4,1,1,1,1,1,2,1,2,2,1,1,1,2,1,1,
2,2,2,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,1,3,3,4,4,8,1,3,
1,3,2,3,2,2,2,2,2,2,2,1,3,1,1,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,
8,1,1,1,4,2,4,4,2,8,8,4,8,8,1,1,2,2,1,2,2,1,2,2,2,2,1,2,2,2,2,2,8,8,8,8,1,1,1,
1,1,2,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,2,1,1,1,4,2,4,8,1,2,2,
1,1,2,2,2,1,2,1,2,2,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
2,4,4,16,1,2,2,2,2,2,4,8,16,16,1,2,1,1,2,2,2,1,1,2,2,4,4,2,4,8,8,4,4,4,4,1,1,
1,1,2,1,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,1,1,6,4,8,1,1,2,2,
2,3,2,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,4,8,1,2,4,2,8,2,4,8,2,1,1,1,1,4,
2,1,2,2,4,2,2,2,1,1,1,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,2,
2,6,4,4,4,8,16,3,2,4,1,1,4,1,2,6,2,1,6,2,2,12,2,4,4,4,4,1,1,1,4,4,1,1,1,2,2,1,
1,1,6,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,1,1,2,2,4,4,
8,1,2,1,2,1,2,2,2,1,2,1,2,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,8,1,2,2,2,4,4,8,2,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,
12,8,1,1,1,6,2,12,4,16,8,16,1,3,4,2,1,8,2,2,4,4,4,2,2,4,4,4,8,1,1,1,2,1,2,1,2,
2,2,4,2,2,4,1,1,1,2,2,1],[1,1,2,4,8,3,1,1,4,2,4,8,1,2,2,1,1,2,2,1,2,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,4,4,6,1,4,3,3,2,2,
4,1,3,3,2,2,1,1,1,1],[1,1,2,12,8,16,1,1,1,6,2,2,12,4,2,16,8,4,8,8,8,16,16,16,
1,3,4,2,1,8,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,16,8,8,8,1,1,1,2,
2,2,1,1,2,2,2,2,2,2,4,4,2,2,4,4,4,4,8,4,4,4,8,4,1,2,1,1,2,2,2,4,1],[1,1,6,12,
8,3,3,3,2,6,2,12,4,4,12,4,1,1,3,3,6,2,3,3,2,3,6,2,2,2,6,2,4,4,4,4,1,3,1,1,2,3,
1,1,2,2,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,12,4,6,8,1,1,1,6,2,2,1,3,12,3,1,
16,2,4,12,12,4,4,4,4,8,8,8,8,3,4,1,2,8,3,1,1,1,3,3,3,1,3,3,3,6,2,2,2,2,2,2,2,
8,2,4,2,2,2,2,2,4,2,4,2,2,2,2,2,4,4,4,4,8,4,8,1,1,1,3,3,3,1,3,1,1,1,1,1,1,1,2,
1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,4,2,2,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,4,6,8,4,8,1,2,3,3,4,4,2,12,8,4,4,4,16,16,1,3,1,1,4,2,3,3,1,3,3,1,1,2,
3,1,2,6,2,2,6,4,4,4,4,8,8,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,3,2,3,1,2,2,1,2,
1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,4,6,4,8,1,3,1,3,
1,2,2,1,3,2,8,4,16,8,8,8,1,1,3,1,2,2,1,1,2,1,3,1,1,1,3,2,1,1,1,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,1,1,2,1,1,1,1,
1,1,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,8,12,2,1,
2,3,3,2,4,6,8,8,24,8,1,1,3,3,1,1,3,1,2,3,1,3,4,3,1,2,3,2,1,2,2,6,2,2,2,2,4,6,
1,1,1,1,2,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,2,3,2,3,1,1,1,2,1,2,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,4,4,6,8,8,1,1,1,2,2,2,1,3,4,3,4,1,8,2,
16,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,2,2,1,1,1,1,1,1,1,1,3,4,1,1,2,2,2,2,2,2,2,2,
2,2,8,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,4,2,2,2,2,2,4,8,8,4,4,8,4,1,1,1,1,1,1,1,
1,1,1,1,1,2,1,1,2,1,2,1,2,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1,2,4,2,4,2,2,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,4,8,4,8,1,2,1,3,2,2,1,2,4,2,1,4,2,4,4,12,
16,4,4,4,4,8,8,16,16,1,1,1,1,2,4,1,1,1,1,2,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,8,2,4,4,2,2,4,2,4,2,4,4,2,4,4,8,8,4,4,4,8,4,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,
2,1,1,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,6,12,8,3,3,2,3,6,2,12,4,4,12,4,1,1,3,3,6,2,3,3,3,2,6,2,2,2,6,4,2,
4,4,4,1,3,1,1,2,3,1,1,2,2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,1,6,8,8,1,2,3,3,4,4,2,
12,4,4,4,1,1,3,1,4,2,3,3,1,3,3,1,2,1,3,1,2,6,2,2,6,4,4,4,4,1,1,1,1,1,1,3,1,1,
1,1,3,1,1,1,1,1,2,1,3,3,2,1,2,1,1,1,1,1,1,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,2,2,4,2,4,8,1,1,3,3,1,2,2,3,1,2,4,8,8,8,1,3,1,1,2,2,3,2,1,1,3,1,
1,2,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,4,4,4,8,1,2,1,3,2,2,1,4,2,2,1,4,2,4,4,4,4,4,4,4,1,1,1,1,2,2,1,
1,1,2,3,4,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,2,4,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1,1,1,2,1,1,1,1,1,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,12,8,3,3,2,3,4,6,2,8,4,4,12,4,1,1,1,3,3,2,
6,3,2,2,3,6,2,2,2,2,6,4,4,4,4,3,1,1,1,1,3,3,2,2,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,
1,4,2,4,8,8,1,2,1,1,1,2,4,1,2,8,4,4,8,8,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,12,2,1,2,3,3,4,
2,6,24,1,1,1,3,3,1,3,4,1,3,1,2,3,2,3,1,3,2,1,2,2,2,6,2,2,4,2,6,1,1,1,1,1,1,1,
1,3,1,1,1,2,3,1,1,1,1,1,1,1,3,3,2,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,6,12,8,1,2,3,2,3,4,6,2,8,4,4,12,4,1,1,1,2,2,1,1,2,2,3,2,2,
4,3,4,2,2,2,2,2,6,4,4,4,4,1,1,1,2,1,1,2,2,1,1,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,
1],[1,1,2,2,4,6,8,8,1,1,1,1,1,2,2,3,3,4,8,4,8,8,8,8,8,1,1,1,1,1,1,2,2,2,2,2,1,
1,1,3,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,6,12,8,3,3,3,2,4,6,2,8,4,4,12,4,1,1,1,3,3,2,6,2,3,2,3,6,2,2,
4,2,2,6,4,4,4,3,1,1,1,1,3,3,2,2,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,1,2,3,
2,3,6,2,12,4,4,12,4,1,1,3,3,2,3,3,2,3,6,6,2,2,2,6,4,2,4,4,4,1,1,3,1,2,3,1,1,2,
2,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,6,12,8,1,2,3,3,2,4,6,2,8,4,4,12,4,1,1,1,2,2,
1,1,2,2,2,3,4,2,3,4,2,2,2,4,2,2,6,4,4,4,1,1,1,2,1,1,2,2,1,1,2,2,2,2,2,2,4,2,1,
1,1,1,1,1,1,1],[1,1,2,8,8,1,2,1,1,1,2,4,1,2,4,4,8,8,1,1,2,1,2,1,2,1,2,2,2,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,6,8,1,
3,3,1,1,2,2,3,3,4,8,8,8,1,3,3,1,1,1,1,1,2,2,3,3,3,3,3,3,3,2,2,2,2,6,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,3,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,12,8,1,2,3,3,2,6,2,12,4,4,12,4,1,1,
3,3,2,3,3,3,6,2,6,2,2,2,6,2,4,4,4,4,1,3,1,1,2,3,1,1,2,2,2,2,2,2,6,1,1,1,1,1,1,
1,1],[1,1,1,8,4,3,1,8,4,1,4,3,4,2,1,1,1],[1,1,4,5,4,3,4,4,1,4,1,4,3,4,1,1,1,1,
1],[1,1,2,6,1,2,1,1,3,3,1,2,2,2,2,1,2,2,6,3,1,1,2,1,1,1,3,3,1,2,2,1,3,1,1,1,
1],[1,1,2,6,1,2,1,1,3,3,1,2,2,2,2,2,1,2,6,3,1,1,1,1,2,1,3,3,1,2,2,1,3,1,1,1,
1],[1,1,6,6,18,1,2,1,3,3,9,36,1,2,2,1,2,6,3,3,6,6,6,6,9,1,1,1,3,3,3,3,12,6,6,
6,1,1,1,2,2,3,3,1,1,1,2,2,1],[1,1,6,18,1,2,1,3,3,9,1,2,1,2,6,6,6,6,6,9,1,1,1,
3,3,3,3,6,1,2,2,3,3,1,1,1,1],[1,1,6,18,1,2,1,3,3,9,1,2,2,1,6,6,6,6,6,9,1,1,1,
3,3,3,3,6,1,2,2,3,3,1,1,1,1],[1,1,2,36,1,2,1,1,18,36,1,2,2,2,2,1,2,6,3,3,6,12,
6,12,9,1,1,2,1,3,3,3,6,3,6,12,6,12,12,6,1,1,1,2,2,3,6,3,1,1,1,2,2,1],[1,1,18,
1,2,1,3,3,9,1,2,1,3,3,6,6,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,1],[1,1,6,4,1,3,
3,12,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,4,1,6,3,3,6,4,1,3,3,3,6,3,3,6,3,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,16,3,3,3,6,4,8,12,16,1,1,1,3,3,2,3,
6,6,3,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,12,6,4,1,6,3,3,6,4,8,1,3,3,3,3,3,6,6,3,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,6,3,3,6,4,8,1,3,3,3,3,6,3,6,
3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,1,3,3,6,6,4,1,3,6,3,6,4,1,3,3,1,
4,3,1,1],[1,1,6,4,1,3,3,4,3,1,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,12,6,12,4,1,6,3,3,
6,24,4,8,8,1,3,3,3,6,3,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,4,1,
3,3,12,24,4,16,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,24,4,1,3,3,12,
24,4,16,1,3,6,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,12,4,1,1,1,6,6,12,4,8,
1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,6,4,4,1,3,3,2,6,4,16,3,1,1,
3,6,6,3,6,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,12,4,2,1,3,3,6,24,4,1,1,3,3,6,3,
6,6,6,8,4,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,24,4,1,3,3,12,24,4,16,1,3,3,6,6,6,6,4,
8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,4,1,3,3,12,4,1,3,6,3,6,6,6,4,8,1,3,3,6,6,1,4,
3,1,2,1],[1,1,6,12,4,3,3,3,6,24,4,1,1,3,3,3,6,6,6,6,12,1,3,2,3,6,1,4,1,1,2,
1],[1,1,6,4,1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,1,3,3,6,2,24,4,1,
3,1,3,6,3,6,6,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,4,3,3,
6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,6,4,3,3,6,6,
4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,6,18,1,1,3,3,3,3,9,9,1,2,2,6,1,3,3,3,9,
9,9,9,9,9,9,18,1,1,1,3,3,3,3,1,3,3,9,9,9,9,1,1,3,3,3,3,3,3,3,3,3,6,3,1,1,1,3,
3,3,3,1],[1,1,2,12,4,1,3,3,6,6,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,12,6,12,4,6,3,3,1,6,24,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,2,1,3,3,6,24,4,1,1,3,3,3,3,3,3,3,6,6,8,4,1,
1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,2,12,12,4,3,1,3,6,6,24,4,8,8,8,1,3,3,3,3,3,3,
6,6,4,4,4,16,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,4,1,3,3,12,12,12,4,16,1,3,
6,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,4,1,3,6,3,6,4,1,3,6,3,6,4,1,3,3,1,
4,3,1,1],[1,1,6,12,4,1,2,3,3,6,12,12,4,1,1,3,3,3,3,3,6,6,6,4,8,1,3,2,3,6,1,4,
1,1,2,1],[1,1,6,12,4,1,3,3,6,6,4,8,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,6,24,4,1,3,3,12,12,12,4,16,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,
2,1],[1,1,6,4,1,3,3,6,6,4,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,1,2,8,4,1,6,4,4,4,8,
8,3,4,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,2,12,4,1,1,1,6,6,12,4,4,4,1,
3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,24,6,4,1,3,12,3,24,4,16,1,3,
3,3,6,3,3,3,6,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,1,6,6,4,8,1,3,
3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,3,1,3,6,6,4,8,8,
1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,24,4,1,6,12,24,4,
8,8,8,3,4,3,3,6,6,6,4,4,4,16,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,2,12,4,6,3,1,3,
6,24,4,8,8,8,1,3,3,3,3,3,3,6,6,4,4,4,16,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,4,
1,1,1,3,3,6,4,8,1,1,3,3,3,4,4,4,1,3,3,1,4,1,1,1],[1,1,12,6,4,1,6,3,6,3,4,8,1,
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],[1,1,12,12,6,4,1,6,3,6,3,
24,4,8,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,
6,6,4,8,8,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,16,3,3,3,4,6,
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],[1,1,2,12,4,6,3,1,3,6,
4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,4,1,3,3,
12,12,12,4,8,8,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,
12,4,3,3,1,6,6,24,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,12,6,4,1,6,3,6,3,4,8,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,6,4,1,3,12,3,4,1,3,3,6,3,3,3,3,6,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,6,8,4,1,3,3,4,4,12,4,8,1,3,4,3,3,3,3,3,6,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,
1],[1,1,2,12,4,1,1,1,6,6,12,4,8,1,3,4,3,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,
1],[1,1,12,6,4,1,3,6,6,3,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,12,6,4,1,3,6,6,3,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,6,4,1,6,3,6,3,4,1,3,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,6,12,4,6,3,3,1,6,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,2,4,1,4,4,6,4,4,4,1,4,3,3,4,4,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,3,3,3,
6,12,12,4,1,1,3,3,6,3,3,3,6,6,12,1,3,2,3,6,1,4,1,1,2,1],[1,1,2,4,1,3,3,1,1,6,
4,4,4,1,3,3,1,3,4,4,4,1,3,3,1,4,1,1,1],[1,1,6,4,12,1,3,3,2,9,6,24,1,2,4,4,1,1,
1,9,9,3,3,6,6,1,3,3,2,2,8,1,3,3,3,3,3,3,1,1,1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,1],[
1,1,4,18,12,1,3,3,2,9,6,24,1,6,4,4,1,1,1,9,9,3,3,6,6,1,3,3,2,2,8,1,3,3,3,3,3,
3,1,1,3,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,4,12,12,1,2,1,3,2,3,6,6,24,1,2,
4,4,4,1,1,1,6,3,3,3,3,6,6,6,1,2,1,1,2,2,2,8,1,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,
2,3,1,1,1,1,1,1,1,1],[1,1,2,12,4,1,3,3,6,6,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,4,6,12,1,2,1,3,2,6,3,6,24,1,2,4,4,1,1,1,6,3,3,3,
3,6,6,6,1,2,1,2,1,2,2,8,1,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,
1],[1,1,2,4,1,1,3,3,2,2,1,2,4,1,3,3,1,1,1,1,2,2,1,3,3,2,2,1,1,1,1,1,1,1,1,1,1,
1,3,3,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,12,1,1,1,1,2,2,6,6,1,2,4,4,1,1,1,2,2,
3,6,3,6,6,1,1,1,2,2,2,2,1,3,3,3,3,3,3,1,1,1,2,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,
1],[1,1,6,24,4,1,3,3,12,12,12,4,8,8,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,2,8,4,1,4,4,6,4,8,8,3,4,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[
1,1,2,12,4,3,1,6,3,6,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,2,24,4,1,6,12,24,4,4,4,8,8,3,4,3,3,6,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,
1,1,1],[1,1,2,12,4,1,1,1,6,6,12,4,4,4,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,
1,1,1],[1,1,6,12,4,1,3,6,3,3,3,4,6,6,6,6,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,
1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,2,12,24,1,1,1,1,6,6,12,24,1,2,4,4,4,1,1,
1,3,6,3,6,6,6,6,1,1,1,2,2,2,2,8,1,3,3,3,3,3,3,1,1,1,2,1,1,1,1,2,2,2,3,1,1,1,1,
1,1,1,1],[1,1,2,12,12,4,1,3,3,6,6,24,4,8,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,8,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,24,4,1,6,3,12,3,16,6,12,12,12,24,24,4,8,
4,4,8,3,4,8,3,3,6,6,6,6,6,12,12,12,12,24,1,4,4,4,8,8,1,3,3,6,6,12,12,1,1,1,2,
2,4,3,1,1,1,2,2,1],[1,1,6,12,4,3,1,3,6,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,12,4,3,1,6,3,6,24,4,8,8,1,3,3,3,3,3,3,6,6,4,
4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,24,1,1,3,3,12,24,1,2,4,4,1,3,3,6,6,6,
6,1,3,3,2,2,8,1,3,3,6,6,1,1,1,1,3,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,12,12,4,3,
1,3,6,6,24,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,
12,12,4,1,6,6,6,12,16,12,12,4,8,8,3,4,6,8,3,3,6,6,24,1,4,4,4,1,3,3,6,6,1,4,2,
2,3,1,1,1,1],[1,1,2,12,12,4,3,1,6,3,6,24,4,8,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,
8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,6,6,12,4,1,3,6,3,4,6,12,12,6,6,6,6,4,8,
8,1,3,3,3,3,3,3,8,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,2,
6,4,1,3,3,1,1,3,3,4,8,8,1,3,3,1,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,
1,1],[1,1,6,12,1,2,1,3,2,6,3,6,1,2,4,1,1,1,6,3,3,3,3,6,6,6,1,2,1,2,1,2,2,1,3,
3,3,3,3,3,1,1,1,1,1,1,2,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,2,6,6,1,1,1,1,3,3,3,3,
1,2,2,2,1,1,1,3,3,3,3,3,3,6,1,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,1,2,6,4,6,24,1,1,1,1,3,3,2,2,3,3,12,24,24,24,1,2,2,2,4,
4,4,1,1,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,8,8,8,1,
3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,24,4,1,6,12,24,4,8,4,4,8,3,4,3,3,6,6,6,4,4,4,8,8,1,3,3,
6,6,1,4,3,1,1,1,1],[1,1,2,24,4,1,3,3,12,24,4,4,4,8,8,1,3,3,6,6,6,6,4,4,4,8,8,
1,3,3,6,6,1,4,3,1,2,1],[1,1,6,12,4,1,2,3,3,6,12,12,4,1,1,3,3,3,3,3,3,3,3,3,6,
4,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,6,12,12,4,1,3,6,3,4,6,12,6,6,6,6,4,8,8,
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],[1,1,18,12,1,
3,3,2,9,6,1,6,4,1,1,1,9,9,3,3,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,1,3,1,1,3,1,2,2,3,
1,1,1,1,1,1,1,1],[1,1,2,2,12,6,4,1,1,1,6,3,12,3,16,12,12,4,8,8,3,4,1,8,3,3,3,
3,3,3,3,6,8,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,2,12,4,1,6,6,6,4,8,
8,3,4,6,3,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,2,6,12,6,12,4,1,3,6,3,3,3,
4,12,12,12,6,6,6,6,24,24,4,8,4,4,8,1,3,3,3,3,3,3,8,6,6,6,6,6,6,6,6,12,12,12,
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],[1,1,6,12,1,3,3,
2,9,6,1,2,4,1,1,1,9,9,3,3,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,1,1,3,3,1,1,2,2,3,1,1,
1,1,1,1,1,1],[1,1,6,12,4,3,1,6,3,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,2,24,4,1,3,3,12,24,4,8,4,4,8,1,3,3,6,6,6,6,4,4,4,8,8,1,
3,3,6,6,1,4,3,1,1,1,1],[1,1,2,24,4,1,3,3,12,24,4,8,8,8,1,3,3,6,6,6,6,4,4,4,16,
1,3,3,6,6,1,4,3,1,2,1],[1,1,6,12,12,1,2,1,3,2,3,6,6,1,2,4,4,1,1,1,6,3,3,3,3,6,
6,6,1,2,1,1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,2,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,
2,24,4,1,3,3,12,24,4,4,4,8,8,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,2,1],[
1,1,2,2,6,12,4,1,1,1,3,3,6,12,16,12,12,4,8,8,1,3,4,3,8,3,3,3,3,3,3,3,3,8,4,1,
4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,2,24,1,1,3,3,12,24,1,1,1,4,4,1,3,3,
6,6,6,6,1,3,3,2,2,4,4,1,3,3,6,6,1,3,1,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,2,
24,4,1,6,12,24,4,8,4,4,8,3,4,3,3,6,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,
1,2,24,4,1,3,3,12,24,4,8,4,4,8,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,1,1,
1],[1,1,2,12,16,24,1,3,3,6,6,8,8,12,12,24,48,96,1,3,3,3,3,4,4,4,4,4,6,6,6,6,6,
8,8,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,1,1,3,3,3,4,4,4,4,4,4,4,4,6,
6,6,6,6,6,6,6,6,6,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
1,2,2,3,3,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,1,1,1,4,4,4,
4,6,6,1],[1,1,2,8,12,24,24,1,3,3,4,4,6,6,12,12,12,12,16,24,32,48,48,48,96,96,
1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,32,64,
96,1,1,1,2,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,
6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,1,3,3,4,4,6,6,12,12,12,1],[1,1,2,8,1,6,6,4,4,
18,2,6,6,9,12,4,12,6,6,12,12,2,3,3,9,4,4,6,18,6,12,12,1,6,3,9,6,6,1,3,3,1],[1,
1,2,8,24,1,4,4,6,12,12,24,32,6,3,8,4,4,6,6,6,16,8,12,12,12,24,1,2,2,3,3,4,4,6,
6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,2,12,24,1,1,1,6,6,18,6,12,12,12,24,
2,1,6,6,3,9,12,12,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,2,3,3,9,3,
3,3,3,4,4,6,6,6,18,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,24,1,2,6,2,3,3,3,
9,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,3,6,6,6,6,1],[1,1,2,8,1,6,6,18,4,
4,2,6,6,9,12,12,4,6,6,12,12,2,3,3,9,18,4,4,6,6,12,12,6,1,9,3,6,6,1,3,3,1],[1,
1,2,12,24,1,3,3,4,4,6,6,24,12,12,24,1,1,3,3,4,3,3,3,6,6,6,6,6,12,12,12,12,12,
6,6,12,12,12,12,12,12,24,12,12,24,24,24,1,1,3,3,3,3,3,3,3,9,3,6,3,6,6,12,3,6,
6,6,12,6,4,4,6,6,6,6,6,12,6,6,6,12,12,8,8,12,12,12,3,1,1,4,3,3,3,2,3,3,3,3,3,
3,6,6,3,3,6,9,6,6,6,6,6,6,12,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,2,8,24,1,4,
4,6,12,12,24,32,3,4,4,6,6,6,6,8,8,12,16,12,12,24,1,2,2,4,4,3,3,6,6,6,6,6,6,12,
12,1,3,3,6,6,6,6,1,3,3,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,4,12,4,4,8,8,1,2,3,5,4,
4,2,6,6,2,4,4,4,4,12,4,4,4,8,8,8,8,8,8,1,1,1,1,3,1,3,4,4,4,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,
1,3,3,2,2,2,2,12,4,4,4,4,8,8,1,3,3,2,1,1,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,8,8,
8,8,1,1,1,1,1,2,2,2,2,6,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,8,2,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,16,1,2,3,5,4,
4,4,4,2,6,6,2,4,4,4,12,4,4,8,8,8,8,1,1,1,1,3,1,3,4,4,4,6,6,4,2,2,2,2,4,4,4,4,
4,4,4,12,4,1,1,1,1,1,1,1,4,4,2,6,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,12,8,8,1,1,1,
2,2,4,4,10,6,4,4,12,4,4,8,16,32,1,2,3,5,4,4,4,6,2,6,6,6,2,2,2,4,4,4,4,4,4,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,3,1,3,4,4,4,4,2,2,2,4,2,
2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,24,1,3,3,6,6,12,12,16,24,32,48,1,3,3,3,
3,4,4,6,6,6,6,6,8,8,12,12,4,12,12,12,12,4,16,24,8,24,1,1,1,2,3,3,3,3,2,6,2,6,
6,6,6,12,4,12,12,4,12,4,4,12,4,8,8,24,8,24,8,3,1,3,3,1,4,2,6,2,2,2,2,4,4,4,4,
12,4,4,8,1,1,1,2,2,2,2,4,1],[1,1,2,12,16,8,1,1,1,2,2,10,6,4,8,12,8,4,8,16,32,
1,2,3,5,4,4,2,6,6,4,2,4,4,4,8,4,12,4,4,4,4,8,8,4,8,4,8,8,8,8,8,8,16,8,8,8,8,1,
1,1,1,3,1,3,4,4,2,2,4,4,2,2,2,2,8,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,
1,2,2,2,2,2,2,1],[1,1,2,12,8,32,1,1,1,2,2,10,6,4,12,4,8,16,16,16,32,32,1,2,3,
5,4,4,2,6,6,2,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,1,1,
3,1,3,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[
1,1,2,8,8,16,1,6,4,12,4,8,4,8,16,32,2,3,4,4,2,6,2,8,4,4,4,4,4,8,4,8,8,16,8,8,
16,1,2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,2,1,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,1],[1,1,2,12,24,1,1,1,2,2,2,6,4,12,12,16,24,16,32,1,2,3,1,4,4,6,2,4,
2,2,8,4,8,8,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,1,1,1,2,1,1,4,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,
1],[1,1,2,8,16,1,2,2,4,4,10,8,8,16,2,5,4,4,4,6,4,6,4,4,8,4,12,4,8,8,8,8,1,1,1,
2,2,4,4,2,2,2,2,4,2,6,4,4,4,4,8,4,8,8,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,1,2,8,4,8,24,1,1,1,4,4,6,2,8,4,4,4,12,24,16,32,32,1,1,3,4,4,6,4,6,2,4,2,6,2,
4,2,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,8,8,16,1,1,2,1,4,4,
2,2,2,2,2,2,2,6,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
1,1,1,2,2,2,2,4,1],[1,1,2,28,24,1,1,1,2,2,10,14,20,28,12,32,24,32,64,1,2,7,5,
8,4,4,6,6,6,10,8,16,8,4,12,4,20,8,4,12,8,8,16,24,16,16,8,16,40,8,8,16,8,16,16,
48,1,2,1,2,2,1,1,5,3,2,3,4,4,4,10,6,4,4,8,2,2,2,4,2,6,6,4,8,8,4,8,4,12,8,8,4,
8,16,8,4,8,8,8,8,16,8,16,16,16,1,2,1,1,1,2,1,2,1,3,2,2,4,4,6,4,8,2,2,2,6,2,2,
4,2,4,8,4,4,4,8,4,8,4,8,8,4,4,4,4,4,4,1,2,1,1,2,2,2,2,4,2,4,4,4,1],[1,1,2,20,
40,1,3,3,2,2,10,10,12,20,20,16,40,32,48,96,1,3,3,2,5,5,4,4,4,10,10,10,10,10,6,
8,8,20,4,8,12,8,12,20,20,4,12,20,16,16,24,24,24,24,24,16,8,16,16,8,24,32,32,1,
1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,2,6,4,10,2,6,6,4,10,10,2,6,6,10,8,8,12,12,12,12,
12,8,12,8,8,8,20,8,8,4,4,8,24,24,24,8,24,8,8,16,16,16,16,1,2,2,5,3,1,1,3,3,1,
1,1,1,4,4,4,2,4,4,6,2,2,2,2,6,2,2,2,2,2,2,2,2,8,8,8,4,8,4,4,4,4,4,4,4,4,4,12,
8,4,8,1,1,1,1,1,1,1,2,2,4,2,2,4,4,4,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,1,
2,3,5,4,4,2,6,6,2,4,4,4,12,4,4,8,8,8,16,1,1,1,1,3,1,3,4,4,4,2,2,2,2,4,4,4,4,4,
8,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,
1,2,3,5,4,4,2,6,6,2,4,4,4,12,4,4,16,8,8,8,1,1,1,1,3,1,3,4,4,4,2,2,2,2,4,8,8,4,
8,4,4,4,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,2,12,16,8,1,1,1,2,2,10,6,8,8,
4,12,4,8,48,1,2,3,5,4,4,4,4,2,6,6,2,8,8,4,4,4,12,12,12,12,4,4,12,8,8,8,24,24,
8,1,1,1,1,3,1,3,4,4,4,4,2,6,6,2,2,2,8,8,4,4,12,12,4,4,4,12,4,4,4,12,12,8,24,
24,8,8,8,1,2,1,1,1,1,1,1,4,4,6,2,2,6,2,8,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,
1],[1,1,2,12,24,1,3,3,6,6,12,12,24,16,96,1,3,3,3,3,4,6,6,6,6,6,12,12,12,12,12,
8,8,24,24,24,24,1,1,3,3,3,4,4,6,6,6,6,6,6,8,8,4,12,4,12,4,4,4,12,4,24,24,1,2,
3,3,4,4,2,6,2,2,2,8,4,4,4,8,1,1,1,2,2,1],[1,1,2,8,8,16,1,4,4,6,4,12,8,8,16,32,
2,3,4,4,6,4,6,6,8,12,4,8,4,8,8,16,8,16,1,2,1,1,2,4,4,2,2,2,6,2,2,4,4,4,4,4,4,
4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,16,24,1,1,1,6,2,8,8,4,
8,12,24,16,32,32,1,1,3,4,4,6,2,4,2,4,4,4,4,8,4,4,4,4,4,8,8,4,8,4,4,8,8,8,8,8,
8,8,16,16,8,8,8,8,16,1,1,2,1,2,2,2,2,2,2,4,2,4,2,2,2,2,8,4,8,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,4,1],[1,1,2,20,16,8,1,1,1,6,10,8,8,8,20,4,
16,8,16,48,16,1,5,3,4,4,4,4,2,6,6,4,8,8,8,12,12,12,12,4,4,4,12,8,8,24,8,16,24,
16,32,32,1,1,3,1,3,4,4,4,4,2,2,6,2,6,2,2,8,8,4,12,4,12,4,4,4,4,12,4,12,12,4,
24,8,24,8,8,8,1,2,1,1,4,4,2,2,2,6,2,6,2,8,4,4,4,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,
1,2,12,24,32,1,1,1,2,2,2,6,4,4,12,12,4,16,24,8,16,16,16,16,32,32,32,1,2,3,1,4,
4,6,2,4,2,2,8,4,8,4,8,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,
16,16,16,16,16,16,16,16,32,32,32,32,32,32,1,1,1,2,1,1,4,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,
16,16,16,16,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,
1,2,2,4,4,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,32,1,2,3,5,4,4,2,6,6,2,4,4,4,
12,4,4,8,16,8,8,1,1,1,1,3,1,3,4,4,4,2,2,2,2,8,4,4,8,4,4,4,8,1,1,1,1,1,1,1,4,4,
4,8,1,2,2,2,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,1,2,3,5,4,4,2,6,6,2,4,4,4,
12,8,4,4,8,8,8,8,1,1,1,1,3,1,3,4,4,4,4,2,2,2,2,4,4,4,4,4,4,8,8,1,1,2,1,1,1,1,
1,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,32,1,3,3,2,2,2,2,12,4,4,8,16,16,16,32,32,
1,3,3,2,1,1,2,2,2,2,2,6,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,
1,1,1,2,2,2,6,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,2,1,1,1,
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],[1,1,2,20,8,1,1,1,6,10,8,
20,4,16,8,16,1,5,3,4,4,4,4,2,6,6,4,8,12,4,4,4,8,8,8,16,16,1,1,3,1,3,4,4,4,4,2,
6,6,2,2,2,2,4,4,4,4,4,4,4,4,12,1,1,1,4,4,2,2,2,6,2,2,2,2,4,4,4,1,1,1,2,2,1],[
1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,1,2,3,5,4,4,2,6,6,2,4,4,4,12,4,4,8,8,8,8,8,
1,1,1,1,3,1,3,4,4,4,2,4,2,2,2,4,4,4,4,4,4,8,8,1,1,1,1,2,1,1,1,2,4,4,4,4,1,1,1,
2,2,1],[1,1,2,8,1,6,6,18,4,4,2,6,6,9,12,12,2,2,4,4,4,4,4,8,8,2,3,3,9,18,2,2,4,
4,4,4,4,4,8,8,6,1,1,9,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,16,1,2,2,10,8,4,4,8,16,
2,5,4,4,4,2,4,2,4,4,8,4,8,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,4,4,2,2,2,4,4,4,4,4,
8,4,4,8,8,1,2,2,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,24,8,1,6,12,12,4,24,4,
32,6,3,8,4,2,6,2,16,8,4,12,4,4,4,4,8,24,8,1,2,2,3,3,6,2,6,2,4,4,4,4,4,4,12,8,
8,1,1,3,6,6,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,1,2,3,
5,4,4,2,6,6,2,4,4,4,12,4,4,8,8,8,8,8,1,1,1,1,3,1,3,4,4,4,2,2,2,2,4,4,4,4,4,4,
4,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,2,12,16,1,1,1,6,6,8,12,8,16,32,
1,3,3,4,4,2,2,4,4,4,4,4,4,4,4,8,8,12,8,4,8,8,8,16,1,1,1,1,1,2,1,2,2,1,2,2,2,2,
4,4,4,4,6,2,2,4,2,4,2,4,4,4,4,1,1,1,2,1,1,2,1,3,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,12,16,1,1,1,6,6,8,12,8,16,32,1,3,3,4,4,2,2,4,4,4,4,4,4,4,4,8,8,8,4,
8,4,8,8,8,16,1,1,1,1,1,2,1,2,2,1,4,2,2,2,2,4,4,4,4,2,2,2,2,4,4,2,4,4,4,4,1,1,
2,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,16,8,16,1,1,1,6,2,8,
4,8,4,8,16,8,8,8,8,16,32,16,1,1,3,2,2,4,2,2,2,4,4,4,8,4,2,4,2,4,4,8,8,4,8,4,8,
4,8,4,4,4,4,4,8,8,16,4,8,4,8,8,8,8,16,16,1,1,1,2,2,1,2,1,4,1,1,2,2,2,2,8,2,8,
4,4,4,4,4,4,4,2,2,8,2,2,4,2,4,2,4,4,2,2,2,2,8,8,8,8,4,8,8,8,4,4,8,4,4,4,8,4,4,
4,4,4,4,2,1,1,1,1,2,1,1,1,2,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,8,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,24,1,1,1,2,2,2,6,4,12,12,16,24,16,32,1,2,3,
1,4,4,6,2,4,2,2,8,4,8,8,4,4,4,4,8,8,8,8,8,8,4,4,8,8,16,8,16,1,1,1,2,1,1,4,2,2,
2,2,2,2,4,4,4,4,4,4,2,4,2,8,4,4,4,8,4,8,4,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,1,1,1,2,2,1],[1,1,2,12,8,16,1,1,1,6,6,4,12,4,8,8,16,8,8,16,16,1,3,3,4,6,6,2,
2,12,2,2,2,2,4,2,2,4,8,4,4,4,4,4,4,4,4,4,4,8,8,16,16,1,3,3,4,4,1,1,1,1,2,2,2,
4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,1,1,1,2,2,2,
2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,16,1,1,1,2,2,2,4,
4,4,8,2,16,4,8,8,8,8,8,16,32,16,1,1,1,4,4,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,
4,4,4,4,4,8,4,8,8,4,4,4,4,8,8,8,16,16,16,16,16,16,2,1,1,1,1,2,1,2,1,1,2,2,2,4,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,8,24,1,1,
1,2,2,2,6,4,4,4,12,12,16,24,16,8,8,32,1,2,3,1,2,2,4,2,2,4,6,2,4,2,2,4,4,8,4,8,
2,8,2,2,4,4,4,4,2,4,8,4,8,4,8,8,8,8,4,8,8,16,16,16,16,1,1,1,2,1,1,2,2,4,1,1,2,
2,2,1,2,1,2,2,2,4,2,2,4,4,4,2,2,4,2,2,4,4,4,2,4,4,2,2,2,4,2,8,4,4,4,8,4,8,8,1,
1,1,2,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,
12,12,8,1,1,1,2,2,2,6,6,12,6,4,16,8,16,24,24,16,16,1,3,1,2,4,2,2,1,2,2,2,1,1,
1,8,2,2,6,2,2,6,6,6,2,4,2,2,2,6,4,2,2,4,6,2,2,6,4,4,12,4,8,4,4,8,4,4,4,4,4,4,
4,16,16,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,6,2,2,2,4,6,2,2,2,6,2,2,
2,2,4,2,2,2,2,2,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,8,12,8,1,3,3,2,2,2,2,4,4,2,6,4,6,4,2,8,
4,8,8,8,16,16,1,3,3,1,1,2,2,2,2,2,1,2,2,2,2,2,1,1,1,4,4,4,6,2,2,2,2,2,2,2,2,2,
2,2,2,4,6,2,6,4,2,6,6,2,4,2,6,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,1,1,1,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,1,1,1,2,2,4,4,4,8,16,8,8,32,1,1,1,4,4,2,4,
2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,8,8,8,4,4,8,2,1,1,1,1,2,2,1,1,1,2,2,2,4,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,1,2,12,8,16,1,1,1,6,6,4,12,4,8,8,8,8,16,16,1,3,3,4,4,4,6,
6,2,2,12,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,1,3,3,4,4,4,1,6,1,6,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,4,4,1,1,1,1,1,1,
6,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,
24,16,1,1,1,6,2,8,2,4,12,2,24,4,8,8,8,16,32,16,1,1,3,4,4,6,2,4,2,4,4,4,2,2,2,
2,4,4,4,8,4,4,4,4,4,8,4,8,8,4,16,4,8,8,16,8,16,16,16,16,1,1,2,1,2,2,1,2,2,4,1,
1,2,2,1,2,2,2,4,4,4,2,4,2,2,2,4,4,2,2,2,4,2,2,2,2,2,4,4,4,4,8,8,8,8,8,8,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,8,32,1,
1,1,2,2,2,6,12,12,4,8,16,16,16,32,32,1,2,3,1,2,2,2,6,4,4,8,4,8,4,4,8,8,8,8,8,
4,12,4,8,4,4,8,4,4,16,16,16,16,16,16,8,1,1,1,1,1,2,3,2,2,1,2,4,2,4,4,4,4,2,2,
4,4,2,2,2,4,2,2,2,4,4,8,8,8,8,4,4,4,8,8,4,8,8,8,8,8,8,8,8,1,1,1,1,1,2,1,2,2,1,
2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,4,12,12,24,
1,3,3,2,2,6,6,6,12,6,12,24,8,8,16,96,16,1,3,3,3,3,2,4,1,6,6,6,6,6,1,1,1,12,6,
2,2,2,12,2,2,2,2,12,6,6,12,2,6,6,2,12,2,6,6,2,2,4,4,24,4,24,24,4,4,4,4,4,4,4,
12,4,24,1,1,3,3,3,4,4,2,2,1,1,1,1,1,6,6,1,6,1,1,1,6,6,1,6,8,8,2,12,2,2,2,6,2,
2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,12,2,6,2,2,2,2,2,2,2,4,4,4,4,4,
24,4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,3,3,2,4,4,1,1,
1,1,1,1,6,1,1,1,1,1,1,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,
4,1],[1,1,2,12,8,24,1,3,3,6,6,4,4,12,12,16,24,32,48,8,8,1,3,3,3,3,2,2,4,2,4,2,
6,6,6,6,6,4,4,8,8,12,12,2,2,2,12,12,12,12,2,16,4,4,24,4,24,4,16,16,1,1,1,2,3,
3,3,3,2,2,2,2,2,2,1,1,6,1,6,1,6,6,6,2,12,2,2,12,2,2,2,12,2,2,2,12,2,2,12,2,2,
2,2,2,4,4,4,4,24,4,24,4,4,4,3,3,3,2,4,6,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,12,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,40,1,1,1,2,2,10,6,20,12,
20,40,32,32,64,1,2,3,5,4,4,4,10,2,4,2,10,8,8,8,8,4,8,12,8,4,4,8,4,8,4,16,8,16,
16,16,24,16,8,16,24,8,16,16,48,32,1,1,2,2,2,1,3,1,3,2,2,1,4,4,2,6,4,4,4,6,2,6,
2,4,2,4,4,4,4,4,4,4,4,8,12,12,12,8,4,8,12,8,8,8,4,4,8,8,8,8,8,16,16,8,8,1,1,2,
1,1,1,1,2,1,4,2,2,2,3,2,2,1,1,3,2,1,2,3,4,2,4,2,2,2,2,2,4,6,2,4,4,4,2,2,6,6,6,
4,8,2,6,6,6,8,6,2,1,1,1,1,2,1,1,1,2,2,2,4,2,2,2,2,2,2,1],[1,1,2,4,8,16,8,1,1,
1,6,2,4,4,2,8,4,8,4,2,8,4,8,16,32,1,1,3,2,4,2,2,2,2,4,4,4,4,4,8,4,2,2,2,2,4,2,
4,4,8,8,4,8,4,2,4,8,4,4,8,4,4,8,8,16,4,8,8,8,8,8,1,1,1,2,2,2,1,4,1,1,2,2,1,8,
8,4,4,2,4,4,4,2,4,2,2,2,4,2,2,8,2,2,4,2,4,4,4,2,2,2,4,4,4,8,8,8,4,8,8,8,8,4,8,
4,8,4,4,4,4,4,4,2,1,1,1,1,2,1,1,2,1,1,1,4,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,4,8,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,12,12,8,16,1,1,1,2,2,2,6,2,6,12,6,4,
2,16,8,4,16,24,24,8,8,8,16,16,16,16,1,3,1,2,4,2,2,1,2,2,2,1,1,1,8,2,2,6,2,2,6,
6,6,4,2,2,2,2,6,4,2,2,4,6,2,2,6,4,4,12,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,16,8,8,8,8,8,8,16,16,16,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,2,2,6,2,2,
2,4,6,2,2,6,2,2,2,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,4,8,1,3,3,2,2,2,4,4,2,8,4,8,1,3,3,1,1,2,2,2,2,2,4,2,2,2,2,4,2,4,4,2,4,4,
4,4,4,1,1,1,1,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,1,1,4,4,6,2,
8,4,4,4,4,8,8,1,1,4,3,1,3,2,2,2,4,4,4,2,4,2,4,4,4,4,8,8,4,8,4,4,8,1,3,1,1,1,3,
2,3,2,4,2,2,2,2,2,2,4,2,2,2,2,4,4,2,4,4,8,4,4,4,1,1,1,2,1,1,1,2,1,2,2,4,2,2,2,
2,2,2,2,2,1,1,1,2,2,1],[1,1,2,24,8,1,6,12,4,4,12,24,32,16,16,6,3,8,4,6,4,16,8,
4,4,2,12,2,4,8,8,24,4,32,1,2,2,3,3,6,6,2,12,4,2,4,4,4,8,4,8,4,3,6,6,1,1,4,2,2,
2,4,1,1,1,2,2,1],[1,1,2,12,8,1,1,1,2,2,2,6,12,4,12,4,4,8,8,1,2,3,1,2,2,2,6,4,
4,8,4,4,4,8,4,4,8,8,12,4,4,4,4,8,8,1,1,1,1,1,2,3,2,2,2,1,2,4,2,2,4,4,2,2,4,2,
2,4,2,4,4,2,8,4,4,4,4,4,1,1,2,1,1,1,1,1,2,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,1,2,4,20,12,8,1,1,1,2,2,6,10,8,6,20,6,4,16,8,16,24,24,16,16,1,5,3,4,2,4,1,2,
6,6,1,1,4,1,8,2,2,6,2,12,6,6,2,6,4,2,2,2,6,4,2,2,4,6,2,2,6,2,4,12,8,4,4,4,8,
16,4,4,4,4,4,4,4,16,16,16,1,1,3,1,3,2,2,4,4,1,4,2,1,1,1,1,2,1,1,1,1,2,1,2,2,2,
2,6,2,2,2,2,4,2,6,6,2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,4,2,6,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,1,1,2,1,1,1,2,1,1,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
20,8,16,1,1,1,6,10,8,2,20,4,2,16,8,4,16,8,8,8,16,16,1,5,3,4,4,2,6,6,4,8,2,2,
12,2,4,2,4,4,4,4,8,4,4,4,4,4,4,8,16,4,4,8,8,8,8,8,16,8,16,16,1,1,3,1,3,4,4,4,
2,1,2,1,2,1,2,1,2,2,2,4,2,2,2,4,2,4,4,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,
8,1,1,1,1,1,2,1,2,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,
2,8,4,8,8,8,16,1,1,1,4,4,6,2,4,4,4,4,4,4,8,8,16,8,8,8,32,16,16,32,32,1,1,3,2,
4,2,4,6,2,2,2,6,2,2,4,4,4,4,4,4,4,2,2,2,12,2,4,4,2,4,4,4,4,4,4,2,4,4,8,4,8,4,
4,4,4,4,4,8,8,4,4,8,8,4,8,8,8,8,8,8,8,8,8,8,16,16,1,1,1,4,4,2,2,2,2,6,1,1,2,1,
1,2,2,2,2,2,4,4,4,4,4,4,2,2,2,4,2,2,4,2,4,2,4,2,4,4,2,2,4,2,2,2,2,4,2,2,4,2,4,
2,2,2,4,2,2,2,4,4,4,4,4,8,8,4,4,8,4,4,4,8,4,4,4,4,4,8,8,4,4,4,4,4,4,4,8,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,1,2,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,12,8,1,1,1,6,6,2,4,12,
4,2,4,8,1,3,3,4,6,6,2,2,12,2,2,2,2,4,2,2,8,4,4,4,4,4,4,4,1,3,3,4,4,1,1,1,1,2,
2,4,2,2,2,4,2,2,4,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,16,16,1,1,1,2,2,4,4,2,4,4,4,8,2,16,4,8,8,8,8,
8,16,32,16,1,1,1,2,2,2,2,4,4,2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,
4,4,4,4,8,4,8,8,4,4,4,4,4,8,8,8,8,8,16,16,16,16,2,1,2,2,1,1,1,1,1,2,1,2,1,1,1,
1,2,2,4,2,2,2,2,2,4,4,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,1,2,2,10,4,4,2,5,
4,4,2,2,4,4,4,4,4,8,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,
2,4,8,1,1,1,2,2,8,2,4,4,4,2,4,8,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,
4,4,4,4,1,2,2,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,6,4,4,4,8,4,16,2,
3,4,2,2,2,4,4,4,4,4,4,8,4,8,4,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,4,12,12,24,1,1,1,2,2,2,2,2,6,4,6,12,6,12,16,24,16,24,24,16,32,16,1,
2,3,1,4,2,1,4,6,2,4,2,1,1,2,1,8,2,4,2,8,6,8,2,6,6,2,6,4,2,2,4,2,6,4,2,2,4,6,2,
2,6,2,4,12,8,8,8,4,8,8,4,4,8,4,4,4,4,4,4,8,4,8,16,16,16,16,1,1,1,2,1,1,2,2,1,
4,1,1,1,1,2,1,2,2,1,1,1,2,1,2,2,2,4,2,6,2,2,2,4,4,6,6,2,2,4,2,4,2,4,2,2,2,2,2,
4,2,6,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,8,1,1,
1,2,2,2,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,12,4,1,1,1,2,2,6,6,2,2,12,2,2,4,8,16,1,
3,3,2,4,1,6,6,1,1,1,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,4,8,4,4,8,8,1,3,3,4,4,1,
1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,
1,2,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,1,1,6,2,
2,4,4,2,8,4,8,1,1,3,2,2,4,2,2,2,4,4,2,4,2,4,4,4,4,4,8,4,1,1,1,2,2,1,1,1,2,2,2,
1,2,4,4,2,4,2,2,2,2,4,2,2,2,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,8,32,1,1,1,2,2,2,2,4,4,4,4,8,16,8,16,16,32,32,1,2,1,1,2,2,2,2,2,4,
2,2,2,4,2,4,2,2,4,4,8,8,8,8,8,4,4,8,8,4,16,16,16,16,16,16,16,16,1,1,1,2,1,1,1,
1,2,2,4,2,2,2,2,2,4,2,2,2,4,4,2,2,2,4,2,2,4,4,8,8,8,4,8,4,4,4,4,4,8,8,4,4,1,2,
1,1,1,1,2,2,2,4,2,4,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,12,8,16,
1,1,1,4,4,6,6,8,4,12,4,8,16,16,32,32,1,3,3,4,4,6,4,2,2,6,2,4,2,4,4,4,4,4,12,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,4,8,4,8,8,8,8,8,8,8,16,1,1,1,1,1,4,4,2,2,1,2,
2,2,1,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,4,4,2,4,4,4,4,2,4,4,4,
8,4,4,4,8,8,4,8,8,8,4,4,8,4,4,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,
4,4,4,2,4,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,8,16,1,1,1,2,2,
4,4,8,4,4,4,8,8,8,8,8,8,16,16,1,1,1,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,16,16,1,2,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,4,16,1,1,1,2,2,2,2,
4,4,2,4,2,8,16,8,8,32,1,1,1,2,2,2,2,2,1,4,4,2,4,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,8,4,8,8,4,8,2,1,2,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,4,2,2,2,
4,4,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,4,4,4,16,1,1,1,2,2,2,2,2,4,2,8,16,8,8,32,1,1,1,2,1,4,4,2,
4,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,8,4,8,8,8,2,1,1,1,2,1,2,1,1,1,1,1,2,
2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,6,4,4,4,4,8,16,2,3,4,2,4,
4,4,2,4,2,4,8,8,4,4,4,1,1,1,2,4,4,4,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,
4,4,4,16,1,1,1,2,2,2,2,8,2,4,2,8,8,8,8,16,16,1,1,1,2,2,2,1,2,2,1,1,4,1,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,2,1,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,16,16,1,1,1,2,2,2,2,2,2,4,2,8,2,
16,4,8,8,8,8,8,16,32,16,1,1,1,2,1,4,4,2,4,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,4,4,8,8,4,4,8,8,8,8,8,16,16,16,16,2,1,1,1,2,1,1,2,1,1,1,1,2,2,
4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,
8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,
4,4,1],[1,1,2,4,4,8,12,8,16,1,3,3,2,2,2,2,4,4,6,4,6,4,8,8,8,8,8,8,8,16,16,16,
16,32,32,1,3,3,1,1,2,2,2,2,2,1,2,2,2,2,2,1,1,1,4,4,4,6,2,2,2,2,2,2,2,2,2,4,6,
6,4,2,6,6,2,4,2,6,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,8,
8,8,8,8,8,16,16,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,2,1,1,1,1,2,1,2,1,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,4,
4,12,8,1,3,3,2,2,2,2,2,2,12,6,4,6,4,8,8,8,16,16,1,3,3,2,1,1,2,1,2,2,2,2,2,1,1,
6,1,4,6,4,2,2,2,2,2,2,2,4,6,6,4,4,2,6,6,2,4,2,6,6,2,2,4,4,4,4,4,4,4,8,4,4,4,
12,8,4,1,1,1,1,1,2,2,1,2,1,1,1,1,2,2,1,6,1,1,1,2,2,1,2,6,2,2,2,2,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,6,6,2,2,4,2,6,2,2,2,2,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,2,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,8,4,1,1,1,2,2,2,2,4,4,8,2,2,4,
2,2,4,8,8,8,1,1,1,2,2,2,1,2,2,1,1,4,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,8,8,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,16,16,1,1,1,2,2,10,2,4,8,4,8,8,16,16,32,1,2,
1,5,4,4,4,2,2,4,2,4,8,8,4,4,4,4,4,8,8,8,4,8,4,4,8,4,8,4,12,8,8,16,4,8,8,4,4,8,
1,1,1,1,1,2,1,2,2,4,4,3,2,2,4,2,4,4,8,8,4,4,4,4,4,4,4,4,8,2,4,4,2,2,2,4,4,4,4,
2,4,8,4,4,8,8,8,4,8,8,8,8,4,4,4,8,4,1,2,1,1,1,2,1,2,1,2,1,2,2,1,1,2,4,2,2,2,4,
4,2,2,2,2,2,4,2,2,4,8,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,8,16,1,1,1,2,
2,4,4,10,2,4,4,4,4,8,16,16,32,1,2,1,5,4,4,4,6,4,2,2,6,2,2,2,8,4,4,4,4,4,4,12,
4,4,4,4,8,4,4,4,4,4,4,8,4,8,4,12,8,8,4,8,8,4,4,1,1,1,1,1,4,4,2,2,1,2,2,4,2,3,
2,6,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,4,4,4,2,4,2,2,4,2,4,4,4,4,8,4,8,4,
8,8,8,8,4,4,4,4,8,1,1,1,1,1,1,1,2,2,1,2,2,1,2,1,1,2,2,2,2,2,4,4,4,4,2,4,2,2,4,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,1,1,4,4,6,2,8,4,4,8,1,1,4,
3,1,3,2,2,2,4,4,4,2,2,4,4,4,4,4,8,4,8,8,1,3,1,1,1,3,2,3,4,2,2,2,2,4,2,4,2,2,2,
2,2,4,4,4,4,4,1,1,1,1,1,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,3,3,
2,2,2,2,12,4,4,8,1,3,3,2,1,1,2,2,2,2,2,6,4,4,4,4,4,4,4,8,4,8,8,1,1,1,1,1,2,2,
2,6,2,2,2,6,2,4,2,4,2,4,4,4,4,4,4,2,1,1,1,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,
1,2,4,8,1,1,1,4,4,6,2,8,4,4,8,1,1,4,3,1,3,2,2,2,4,4,4,2,2,4,4,8,4,4,8,4,4,8,1,
3,1,1,1,3,2,3,4,2,2,4,4,4,2,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,2,1,1,2,1,2,2,2,4,2,
2,2,1,1,1,2,2,1],[1,1,2,4,8,8,16,1,1,1,2,2,4,4,4,4,4,8,16,8,8,32,1,1,1,2,2,2,
2,4,4,2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,8,8,8,4,4,4,8,2,1,2,2,1,1,
1,1,1,2,2,1,1,1,1,1,2,2,4,2,2,2,2,2,4,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,16,1,2,2,10,8,4,4,8,16,2,5,4,4,4,2,
4,2,4,4,8,4,4,4,4,4,8,8,8,8,8,1,1,1,2,2,2,2,2,4,2,2,2,4,4,4,4,4,8,4,4,4,4,4,4,
4,1,2,1,1,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,6,4,4,4,4,8,16,
2,3,4,2,4,4,4,2,4,2,8,4,8,4,4,4,1,1,1,4,2,4,4,2,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,
1],[1,1,2,4,8,8,1,1,1,2,2,2,2,4,4,4,4,4,4,8,8,1,2,1,1,2,2,2,2,2,4,4,4,2,2,2,2,
2,2,4,2,4,2,2,2,4,4,8,4,4,4,4,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,4,2,4,2,2,4,
2,2,2,2,2,2,2,4,4,4,4,1,2,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,1,2,4,4,8,4,1,1,1,2,2,2,2,2,2,4,4,4,2,4,2,8,8,1,2,1,1,2,2,2,1,2,2,1,1,2,
1,4,4,2,4,2,2,2,4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,4,4,1,1,1,2,1,1,1,1,2,1,1,2,
1,1,2,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,
2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,4,8,1,1,1,2,2,2,2,4,4,4,4,8,8,1,2,1,1,2,2,2,2,2,4,2,4,2,4,
2,4,2,4,2,2,4,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,
2,1,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,4,4,6,4,4,8,
16,2,3,4,4,6,6,2,12,4,4,8,4,4,1,1,1,4,4,6,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,8,16,1,6,4,4,8,8,16,16,2,3,4,2,2,4,2,8,8,4,4,4,8,8,1,1,1,4,2,4,2,4,4,4,
4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,8,16,1,6,4,4,8,8,16,16,2,3,4,2,2,4,2,8,4,
4,8,4,8,8,1,1,1,2,4,4,2,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,12,24,16,1,
3,3,6,6,2,12,12,2,24,4,8,8,8,16,96,16,1,3,3,3,3,4,6,6,6,6,6,12,2,2,12,2,12,2,
12,12,4,4,4,4,4,4,4,24,4,24,24,4,4,24,8,8,16,16,16,16,1,1,3,3,3,4,4,6,1,6,6,1,
6,1,6,1,6,8,8,2,2,12,12,2,2,2,2,2,2,2,2,12,2,2,2,2,4,24,24,4,4,4,4,4,4,4,8,8,
8,8,8,8,1,2,3,3,4,4,1,1,1,1,6,1,1,1,1,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,8,8,1,1,1,2,6,4,4,12,4,16,8,16,8,8,1,3,1,2,
4,2,2,2,2,4,4,8,2,2,2,2,2,2,4,4,4,2,2,4,4,8,4,4,8,4,16,16,1,1,1,2,1,1,1,1,2,1,
1,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,16,1,2,2,10,8,16,2,5,4,4,
2,8,2,8,4,4,4,8,8,1,1,1,4,4,2,4,2,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,4,
12,8,12,8,1,1,1,2,2,2,6,4,4,6,12,6,4,16,8,16,8,24,24,8,16,16,1,3,1,2,4,2,2,1,
2,2,2,1,1,1,4,4,8,2,2,6,2,2,2,2,2,6,6,6,2,4,2,2,2,6,4,2,2,4,6,2,2,2,6,4,12,4,
4,8,4,4,4,8,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,
2,2,2,2,2,6,2,2,2,2,4,2,6,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,12,24,16,1,3,3,6,6,2,12,12,2,16,24,4,32,48,8,8,8,16,16,1,
3,3,3,3,4,4,6,6,6,6,6,8,8,12,12,2,2,2,12,2,12,12,12,16,4,4,24,4,4,4,4,4,4,24,
4,4,8,8,8,8,8,8,16,16,1,1,1,2,3,3,3,3,1,6,1,6,1,6,6,1,6,2,2,12,12,2,12,2,2,2,
12,2,2,2,2,12,2,2,2,2,4,24,4,4,4,4,4,4,4,4,24,4,4,4,8,8,8,8,3,3,3,4,1,1,6,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,4,4,8,4,16,16,1,1,1,2,2,2,2,4,4,2,2,4,2,8,2,16,4,8,8,8,8,8,16,32,16,32,
32,1,1,1,2,2,2,2,2,1,4,4,2,4,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,8,4,4,8,8,4,4,4,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,2,1,2,2,1,
1,1,1,2,1,1,2,1,1,1,1,1,1,2,4,2,2,4,4,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,2,4,4,8,4,32,1,1,1,2,2,2,2,2,2,4,4,4,2,4,2,8,8,16,16,
16,32,32,32,32,1,2,1,1,2,2,2,1,2,2,1,1,2,1,4,4,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,4,8,4,8,8,8,8,8,4,8,16,16,16,16,8,16,8,8,16,8,8,8,8,8,16,16,1,1,1,2,1,
1,1,1,2,1,1,1,1,1,1,2,4,2,2,2,2,2,2,4,2,2,2,4,4,2,2,4,2,2,2,4,4,8,4,4,4,4,8,8,
4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,1,
1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,2,8,8,16,1,6,4,12,4,8,4,8,16,32,2,3,4,4,2,6,2,8,4,4,4,4,4,8,4,8,8,
16,8,8,16,1,2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,
2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,16,4,16,1,1,1,2,2,6,6,8,8,2,12,2,
48,8,8,8,8,16,16,32,32,1,3,3,4,4,2,4,1,6,6,1,1,1,8,8,2,2,12,12,2,2,12,12,2,2,
2,2,2,2,2,2,12,2,2,2,4,24,4,4,4,4,4,24,4,8,8,8,8,8,8,8,8,8,8,16,16,1,3,3,4,4,
4,1,1,1,1,1,6,1,1,1,1,6,1,8,8,2,2,2,2,2,2,12,2,12,2,2,2,2,2,12,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,12,2,12,2,2,2,4,4,4,24,4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,1,2,4,4,1,1,1,1,1,6,1,1,6,1,1,1,1,1,8,2,2,2,2,2,2,2,
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,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,20,8,1,1,1,6,10,8,20,4,16,
8,16,16,1,5,3,4,4,2,6,6,4,8,12,4,4,4,8,8,8,8,16,16,1,1,3,1,3,4,4,4,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,8,8,1,1,
1,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,1,2,1,1,2,2,2,2,2,4,4,4,2,4,2,2,2,2,4,2,4,2,4,
2,2,2,4,4,8,4,4,8,4,4,4,8,8,1,1,1,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,4,2,4,4,2,8,4,4,4,4,1,2,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,4,2,4,2,4,8,8,8,1,2,1,1,2,2,2,1,2,2,
1,1,2,1,2,4,2,4,2,2,2,2,2,4,4,2,2,2,2,2,2,4,8,8,8,8,1,1,1,2,1,1,1,1,1,2,1,2,1,
1,1,1,2,2,2,2,2,2,2,4,2,2,4,2,2,4,4,2,8,4,4,4,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,
2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,24,1,1,1,6,2,4,4,8,4,12,24,8,8,32,1,
1,3,2,2,2,4,2,4,6,2,4,2,4,4,4,4,4,2,2,2,4,2,4,4,8,4,8,8,8,4,16,8,16,1,1,2,1,2,
2,2,1,1,2,2,2,4,1,1,2,2,2,2,4,4,2,2,4,4,2,2,4,4,2,2,4,4,2,4,4,2,2,2,4,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,
24,1,1,1,6,2,8,4,12,24,32,1,1,3,4,4,6,2,4,2,4,4,4,4,4,4,8,8,8,8,8,16,8,16,1,1,
2,1,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,4,2,4,2,1,
1,1,1,1,1,1,1],[1,1,2,4,8,8,1,1,1,2,2,4,4,8,2,4,4,4,2,4,8,8,8,1,1,1,2,2,2,2,4,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,2,2,1,1,1,1,2,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,6,4,4,4,12,
8,8,16,32,16,16,2,3,4,4,6,4,8,4,4,2,4,8,2,4,8,8,8,16,4,8,16,32,1,2,1,1,2,2,2,
2,2,2,4,4,4,4,4,2,4,4,4,8,4,8,4,4,1,2,1,1,2,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,1,
2,8,8,8,1,2,2,10,4,8,4,8,4,4,8,2,2,5,4,4,2,2,4,2,4,4,4,8,4,4,4,4,4,8,4,4,8,4,
4,4,1,1,1,1,1,2,3,4,4,2,1,2,2,4,4,4,4,2,4,4,2,6,2,2,4,4,4,4,1,2,1,1,2,2,2,1,2,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,8,16,1,3,3,2,2,2,2,6,4,6,4,8,
8,8,8,8,8,8,16,16,16,16,1,3,3,1,1,2,1,2,2,2,2,2,1,1,1,4,6,2,2,2,2,2,2,4,6,6,4,
2,6,6,2,4,2,6,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,16,16,1,1,1,
2,2,1,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,6,2,4,6,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,8,16,1,4,4,6,4,4,4,4,8,
16,8,16,32,2,3,4,4,6,6,2,4,4,4,2,12,2,4,2,2,4,4,8,4,4,4,4,8,8,8,8,8,8,1,1,1,4,
4,6,2,2,2,4,2,2,4,2,4,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,
1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,
1,2,4,8,16,1,3,3,2,2,4,4,8,8,8,8,8,16,16,1,3,3,1,1,2,2,2,2,2,4,2,4,4,4,2,4,4,
4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,1,2,8,8,8,16,1,6,4,4,4,4,4,8,4,16,8,16,32,2,3,4,2,2,2,4,4,4,4,2,2,4,
4,2,4,4,4,2,4,8,4,4,8,4,4,8,8,8,8,8,8,1,1,1,2,2,2,4,4,4,2,4,4,2,4,2,2,4,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,8,16,1,2,2,4,4,10,4,4,8,
16,32,2,5,4,4,4,6,6,4,2,12,6,4,2,6,4,4,4,12,4,8,8,8,8,8,8,1,1,1,4,4,2,4,6,4,4,
2,2,2,2,4,4,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,8,16,1,
2,2,10,4,4,4,4,8,16,32,2,5,4,4,2,2,4,4,2,6,2,4,4,4,6,4,4,4,4,8,12,4,8,8,8,8,8,
8,1,1,1,4,2,2,4,4,2,4,4,4,2,4,2,2,4,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
2,2,1],[1,1,2,4,8,8,16,1,3,3,2,2,4,4,4,4,8,8,8,8,8,16,16,1,3,3,1,1,2,2,2,2,2,
2,2,2,2,4,4,4,2,2,2,2,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1,
1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,16,1,2,2,10,4,4,8,8,16,2,5,4,4,
4,4,4,4,8,4,6,6,12,8,8,12,8,1,1,1,2,2,2,2,2,4,2,4,4,6,4,8,4,6,8,8,4,4,1,2,1,3,
2,2,2,2,4,4,4,4,1,2,1,2,1,1],[1,1,2,4,4,12,8,1,3,3,2,2,2,2,2,6,4,6,4,2,8,4,8,
8,8,16,16,1,3,3,1,1,2,1,2,2,2,2,2,1,1,1,4,6,2,2,2,2,2,2,2,2,2,4,6,2,6,4,2,6,6,
2,4,2,6,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,
2,1,2,1,1,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,4,6,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,8,1,2,2,10,4,4,2,5,4,4,4,6,6,4,8,12,8,1,1,1,4,4,4,2,4,6,4,4,4,1,1,1,
2,2,2,2,1,1,1,1],[1,1,2,8,1,2,2,10,4,4,2,5,4,4,4,6,8,6,4,12,8,1,1,1,4,4,4,4,2,
6,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,8,32,1,1,1,4,4,6,2,8,4,4,8,16,16,16,
32,32,1,1,4,3,1,3,2,2,2,4,4,4,2,2,4,4,4,8,8,8,8,8,8,8,8,4,8,16,16,16,16,16,8,
16,1,3,1,1,1,3,2,3,4,2,2,4,4,2,4,4,2,2,2,2,4,2,4,4,4,8,4,8,8,4,4,8,8,8,4,8,8,
8,8,1,1,1,1,1,1,2,2,2,1,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,2,12,16,16,1,1,1,6,6,8,8,12,8,8,16,16,32,32,1,3,3,4,4,2,2,4,4,4,4,8,4,
4,4,4,4,4,4,8,8,4,8,4,4,8,8,8,4,8,4,8,8,8,16,8,8,8,8,8,16,1,1,1,1,1,2,1,2,2,2,
2,4,1,2,2,2,2,8,8,4,4,4,4,4,4,4,4,4,8,2,2,2,4,4,2,4,4,4,4,2,4,4,4,4,4,4,8,4,4,
8,8,8,8,8,8,8,4,8,4,2,1,1,1,2,1,1,2,1,2,1,1,2,1,2,4,2,2,2,2,2,2,4,4,2,2,4,2,2,
2,8,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,16,1,2,2,10,8,16,2,5,4,4,2,2,8,4,
4,8,4,8,8,1,1,1,4,2,4,4,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,16,1,1,1,
2,2,10,2,4,4,8,16,1,2,1,5,4,4,4,2,2,2,8,4,4,4,8,8,4,4,8,4,12,4,4,4,1,1,1,1,1,
2,1,4,4,3,2,2,4,2,4,4,4,4,4,2,4,2,4,2,2,2,4,4,1,2,1,1,1,1,2,2,1,1,2,1,1,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,12,8,16,1,1,1,2,6,2,12,4,2,16,8,4,16,8,8,8,16,16,
1,3,1,2,4,2,2,2,2,8,2,2,4,2,4,4,2,4,4,8,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,16,16,
1,1,1,2,1,1,1,1,1,2,2,1,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,8,8,
8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,20,40,
1,1,1,4,4,6,10,16,20,20,16,40,32,48,96,1,1,4,3,5,3,4,4,10,2,4,2,8,4,8,4,8,4,
12,14,8,14,8,8,4,12,12,8,16,28,16,24,24,16,24,20,24,20,28,24,24,40,40,1,1,2,1,
1,3,2,2,1,2,3,1,7,5,5,2,6,3,4,4,4,5,4,2,6,4,2,4,4,4,4,4,10,4,6,10,10,6,6,14,
10,12,8,8,8,16,8,8,20,8,12,16,8,16,12,16,32,32,32,32,1,1,1,1,2,1,1,2,4,1,3,5,
1,1,2,4,1,4,2,2,2,3,2,3,2,2,2,2,1,4,4,4,2,2,6,6,4,6,2,4,8,4,4,2,4,4,4,4,8,2,2,
4,2,6,6,8,12,1,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,4,2,1],[1,1,2,8,24,1,6,12,4,4,12,
24,32,3,4,6,2,6,2,8,8,4,4,4,4,4,4,16,4,12,8,24,1,2,2,3,2,2,3,2,4,4,4,2,6,6,6,
6,4,4,4,4,4,4,1,1,1,1,3,2,2,6,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,8,12,8,
16,1,1,1,2,2,2,6,4,4,2,6,12,6,4,2,16,8,4,16,8,24,24,8,8,8,8,16,16,16,16,32,32,
1,3,1,2,4,2,2,1,2,2,2,1,1,1,4,4,8,2,2,6,2,2,2,2,2,6,6,6,4,2,2,2,2,6,4,2,2,4,6,
2,2,2,6,4,12,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,16,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,
2,1,1,2,1,2,2,2,2,6,2,2,2,4,2,6,2,6,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,4,
4,4,4,1],[1,1,2,4,4,8,4,16,1,1,1,2,2,2,2,4,4,8,2,4,2,8,8,8,8,8,8,16,16,32,32,
1,1,1,2,2,2,1,2,2,1,1,4,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,1,2,1,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,
8,1,1,1,2,6,12,4,16,8,16,1,3,1,2,4,2,2,2,2,8,2,2,2,4,4,4,2,4,4,8,4,8,1,1,1,2,
1,1,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,8,8,1,1,1,4,4,6,2,2,4,4,4,4,2,8,4,16,8,32,
1,1,3,2,2,4,4,6,2,2,2,6,2,2,4,4,4,4,4,2,12,4,4,4,2,4,4,4,4,4,4,4,8,4,4,4,8,4,
8,8,8,8,8,8,1,1,1,2,4,4,2,1,2,1,1,2,6,2,2,2,2,1,4,2,4,4,4,4,4,4,2,4,2,4,2,4,4,
2,4,4,2,4,4,2,4,2,4,2,8,8,4,4,4,4,4,8,8,4,4,8,8,4,8,1,1,1,1,1,2,1,1,1,2,1,1,1,
2,2,2,2,2,4,4,4,2,2,2,2,2,4,2,2,4,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
16,1,6,6,18,8,16,2,6,6,9,12,12,2,2,4,4,4,8,8,8,2,3,3,9,18,2,2,4,4,4,4,4,4,8,8,
6,9,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,12,8,8,16,1,1,1,2,6,4,4,2,12,4,2,16,8,4,
16,8,8,8,8,8,16,16,1,3,1,2,4,2,2,2,2,4,4,8,2,2,2,2,2,4,2,4,4,2,2,4,4,8,4,4,4,
4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,16,16,16,16,1,1,1,2,1,1,1,1,2,1,2,1,2,2,2,2,4,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,16,16,1,2,
2,10,8,8,16,8,16,2,5,4,4,4,4,4,8,4,2,2,4,4,8,8,4,8,8,8,8,1,1,1,2,2,2,2,2,4,2,
2,4,8,2,4,4,4,4,4,4,4,8,8,2,1,1,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,8,8,
1,2,2,4,4,10,4,8,8,4,8,2,2,5,4,4,4,6,2,6,4,4,12,4,4,4,4,4,8,4,4,4,4,4,1,1,1,1,
1,4,4,2,3,2,4,1,6,2,2,2,4,4,2,4,4,4,2,6,2,2,4,4,1,1,1,1,1,2,2,2,2,2,1,2,1,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,1,1,1,6,2,4,4,8,8,8,8,8,16,16,1,1,3,2,
2,4,2,2,2,4,4,2,2,4,4,8,4,4,4,4,4,8,4,4,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,4,4,2,4,
2,4,2,2,2,4,2,2,2,2,2,4,4,4,4,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,12,4,16,1,1,1,2,2,6,6,2,12,2,8,8,8,8,16,16,1,3,3,2,4,1,6,6,
1,1,1,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,8,8,1,3,3,4,4,1,1,1,1,
1,1,1,1,1,1,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,16,1,1,1,2,2,10,2,4,4,8,16,1,2,1,5,4,4,
4,2,2,2,8,4,4,4,8,4,4,8,12,12,4,4,4,1,1,1,1,1,2,1,4,3,2,2,4,2,4,4,4,4,4,6,4,4,
2,2,2,2,4,4,1,1,1,1,1,2,1,2,1,2,3,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,2,
4,4,10,2,5,4,4,4,6,6,12,4,8,8,1,1,1,4,4,2,4,6,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,4,8,8,16,1,1,1,6,2,4,4,4,4,8,8,8,8,8,16,16,1,1,3,2,4,2,2,2,2,4,4,4,4,2,
2,2,2,4,2,4,2,4,4,8,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,1,1,2,1,1,2,2,2,2,4,2,4,2,
2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,1,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,2,12,16,8,1,1,1,6,6,8,8,2,4,12,4,2,4,48,8,1,3,3,4,4,4,6,6,8,8,2,2,12,12,12,
12,2,2,2,2,4,2,2,12,4,4,4,24,4,4,4,24,4,8,8,1,3,3,4,4,4,1,1,1,6,6,1,8,8,2,2,2,
2,12,12,2,2,2,2,2,12,2,2,2,2,12,2,12,4,24,24,4,4,4,4,4,4,4,4,4,4,4,1,2,4,4,1,
1,1,1,6,1,6,1,1,1,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,12,8,1,1,1,2,2,2,6,12,12,4,8,1,2,3,1,2,2,2,6,4,4,8,4,8,4,8,4,12,4,4,
4,4,8,8,1,1,1,1,1,2,3,2,2,1,2,4,2,4,4,4,4,2,4,2,2,2,2,2,4,4,4,4,4,1,1,1,1,2,1,
1,1,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,2,12,8,1,1,1,2,2,2,6,12,12,4,8,1,2,3,1,
2,2,2,6,4,4,8,4,4,4,8,4,4,4,12,4,4,4,4,4,8,1,1,1,1,1,2,3,2,2,1,2,2,2,4,2,4,4,
4,2,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,1,2,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,
1,2,4,8,8,1,1,1,6,2,4,4,2,4,4,2,8,4,8,1,1,3,2,4,2,2,2,2,4,4,4,4,2,2,2,2,2,4,2,
4,4,4,8,4,8,4,4,1,1,1,2,1,1,1,2,2,1,4,2,2,2,2,2,4,2,4,2,2,4,2,4,2,2,2,2,4,4,4,
4,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,16,16,1,6,
4,12,8,8,16,32,8,16,2,3,4,4,6,8,2,4,2,8,4,4,8,16,4,4,8,4,8,8,16,1,2,1,1,2,2,2,
2,2,2,4,4,4,4,2,4,4,4,4,4,4,4,8,8,8,8,1,2,1,1,2,2,4,2,4,2,2,4,4,1,1,1,2,2,1],[
1,1,2,24,16,1,6,12,12,24,32,8,16,6,3,8,4,6,16,8,2,12,2,4,4,4,24,4,4,8,8,1,2,2,
3,3,6,6,2,12,2,4,4,4,4,4,4,8,8,8,8,3,6,6,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,
8,8,1,2,2,10,4,8,4,8,4,4,8,2,2,5,4,4,2,2,4,2,4,4,4,4,4,4,4,4,8,12,4,8,4,4,4,1,
1,1,1,1,2,3,4,2,1,2,2,4,4,4,6,4,2,6,2,2,4,4,4,4,4,4,1,1,1,2,2,3,1,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,4,1,1,1,2,2,6,6,2,2,12,2,2,4,8,1,3,3,4,4,
2,4,1,6,6,1,1,1,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,3,3,4,4,4,1,1,6,1,6,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,4,4,4,4,1,4,4,1,1,1,1,
1,1,1,1,6,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
2,8,8,8,1,2,2,10,4,8,4,8,4,4,8,2,2,5,4,4,2,2,4,2,4,4,4,4,4,4,4,8,4,8,4,4,8,4,
4,4,1,1,1,1,1,2,3,4,2,1,4,2,2,4,4,4,4,2,4,2,6,2,4,2,4,4,4,4,1,2,1,1,2,2,2,2,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,1,1,1,2,2,8,4,4,4,8,8,8,8,16,
16,1,1,1,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,2,2,1,1,1,
1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,3,3,2,2,4,4,2,4,4,2,
8,4,8,1,3,3,1,1,2,2,2,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,4,2,4,4,2,2,4,4,4,4,4,1,
1,1,2,2,2,2,2,2,1,1,1,1,2,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,8,1,3,3,2,2,2,2,4,4,12,4,4,
8,8,8,1,3,3,2,1,1,2,2,2,2,2,2,2,2,2,6,4,4,4,4,2,2,2,4,4,4,4,2,4,4,4,8,4,8,1,1,
1,1,1,2,2,2,2,2,2,2,1,1,2,2,6,1,2,1,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,
2,2,2,1,1,1,2,1,1,1,2,2,1,1,1,1,2,1,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,
4,4,4,1,1,1,2,2,2,2,2,2,4,2,4,2,8,8,1,2,1,1,2,2,2,1,2,2,1,1,2,1,2,4,2,2,2,2,2,
2,4,2,2,2,2,2,2,8,4,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,4,4,2,2,4,2,2,2,2,2,
4,4,4,4,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,
1,1,1,2,2,2,2,8,2,2,4,2,2,4,8,1,1,1,2,2,2,1,2,2,1,1,4,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,1,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
20,8,16,1,1,1,4,10,10,2,20,4,2,16,8,4,8,8,8,16,16,16,1,5,2,4,2,5,4,8,6,2,8,2,
6,4,4,8,4,4,4,4,4,2,20,2,4,4,4,4,4,8,4,4,8,4,8,16,8,8,16,8,8,8,1,1,2,1,5,2,1,
1,2,3,2,4,4,4,2,2,1,4,2,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,8,4,4,4,
4,4,4,8,4,4,1,1,1,2,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,6,10,12,8,2,1,1,3,3,3,4,2,7,5,6,2,4,8,12,8,4,4,4,4,4,8,16,1,2,
2,1,1,3,1,2,2,1,2,1,2,4,6,4,3,1,2,2,2,3,2,4,4,5,2,2,3,2,2,3,1,3,4,2,3,1,2,10,
2,6,2,2,6,2,2,6,6,2,6,2,8,4,4,8,8,4,4,4,4,4,4,4,4,4,4,2,1,1,2,1,1,1,1,1,1,1,2,
1,2,2,2,4,1,2,2,2,2,2,2,1,1,1,2,1,3,1,2,1,1,2,3,1,3,1,2,2,1,1,1,2,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,6,4,2,2,4,2,2,2,4,4,2,4,6,2,6,6,4,4,2,4,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,24,16,1,3,3,6,6,2,12,12,2,24,4,48,8,8,
8,16,48,16,1,3,3,3,6,3,4,6,6,2,6,2,6,12,12,4,4,4,12,4,12,24,2,12,12,2,4,12,12,
12,4,4,8,4,24,8,4,4,8,8,16,8,8,8,8,1,1,3,3,3,3,3,4,4,6,6,2,1,6,6,1,6,1,1,2,8,
8,2,12,2,12,2,2,4,2,2,2,4,2,2,2,2,12,2,4,4,4,4,8,4,4,4,4,4,4,24,8,4,4,4,24,4,
1,2,3,3,4,4,1,1,1,1,2,1,6,1,1,1,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,4,6,12,12,8,3,2,3,3,6,2,6,6,4,24,4,8,24,16,1,1,3,1,3,
1,3,3,1,1,2,6,2,3,2,1,6,2,6,6,6,6,2,1,2,6,2,2,2,6,2,6,4,4,6,4,4,4,4,8,8,1,3,1,
2,1,3,1,1,3,1,3,2,2,3,1,2,6,1,3,1,3,1,1,1,2,1,1,2,3,2,2,3,2,2,2,6,6,2,4,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1,3,1,1,3,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,2,8,16,16,1,3,3,1,1,4,4,6,8,8,16,8,16,1,3,3,1,2,2,4,4,4,4,
4,3,8,2,2,8,8,8,4,4,4,2,4,4,2,4,4,4,4,4,4,8,4,4,8,1,2,2,1,1,1,4,3,1,4,4,3,4,2,
2,2,2,2,2,8,2,2,4,2,2,2,4,2,4,4,4,4,4,4,1,2,1,1,2,2,2,1,2,1,1,2,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,6,6,14,12,8,2,1,3,1,3,3,4,5,7,6,4,4,8,12,16,20,4,4,4,4,
40,32,1,2,2,1,1,1,2,2,1,3,1,2,2,4,2,2,3,5,2,3,2,2,2,1,2,2,6,2,1,2,4,3,3,3,4,4,
1,3,4,2,2,6,2,2,6,2,2,6,6,10,6,2,4,8,8,8,4,8,4,4,4,4,16,8,8,24,8,8,2,1,1,1,1,
1,1,1,2,1,1,2,2,1,2,2,3,2,2,2,2,2,3,1,1,1,1,2,3,1,2,2,1,1,1,1,1,4,1,1,2,2,2,2,
2,1,2,1,2,2,2,2,2,6,4,6,2,4,4,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,4,2,2,
2,2,6,2,4,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,6,18,12,8,3,1,3,3,3,4,3,9,6,
4,4,8,12,24,12,4,4,4,4,24,48,1,2,1,2,1,3,3,3,3,2,3,3,2,2,3,2,6,3,6,2,3,6,6,3,
9,3,6,9,3,6,2,6,2,2,6,2,2,6,6,6,6,2,12,12,8,4,4,4,4,16,8,8,24,8,8,1,1,2,1,3,3,
1,3,1,1,1,3,2,3,6,3,3,1,3,1,3,1,3,3,3,3,1,3,6,2,2,3,3,6,2,2,12,2,2,6,2,6,6,2,
6,2,2,2,2,6,6,6,6,2,2,6,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,4,2,2,2,1,1,1,1,
1,1,3,1,1,3,1,1,3,3,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,2,6,2,2,2,2,2,2,
2,2,6,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,24,16,1,3,3,6,6,2,12,
12,2,16,24,4,32,8,8,8,16,48,16,1,3,3,3,4,6,3,8,4,8,6,6,2,6,2,6,16,12,4,4,4,12,
4,12,2,12,2,12,4,12,12,12,4,4,8,4,4,8,4,8,24,8,8,16,8,8,8,1,1,2,1,3,3,3,3,6,6,
2,1,6,6,1,6,1,1,2,2,2,12,2,2,2,2,2,12,2,4,12,2,2,2,12,2,12,4,4,4,4,8,4,4,4,4,
4,4,24,4,24,4,4,4,8,4,3,3,3,4,2,1,1,6,1,1,1,1,1,1,2,2,2,2,12,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,6,8,14,12,8,2,1,3,1,3,3,4,2,5,7,
6,2,4,8,12,8,16,20,4,4,4,4,40,32,16,16,1,1,2,1,2,1,2,2,1,3,1,2,2,4,2,2,3,5,2,
2,2,3,2,2,1,2,6,1,2,4,3,3,3,4,4,1,2,3,4,2,2,6,2,2,6,2,2,6,6,10,6,2,4,8,8,8,4,
8,8,4,4,4,8,4,4,4,4,4,4,4,16,8,24,8,8,8,8,8,1,1,2,1,1,1,1,2,1,1,1,2,2,1,2,2,3,
2,2,2,2,2,2,3,1,1,1,1,3,1,2,2,1,1,1,1,1,4,1,1,2,2,2,1,2,1,2,2,2,2,2,2,6,4,6,4,
4,4,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,6,2,2,4,4,2,2,2,6,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,8,8,8,8,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,1,3,3,3,3,18,8,16,1,1,3,3,3,3,9,12,12,4,
4,2,4,2,4,4,4,4,4,4,1,1,3,3,9,9,9,2,2,4,2,2,2,4,2,4,4,4,4,4,4,3,3,9,1,2,1,1,1,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,6,12,8,3,3,1,3,3,4,2,9,3,6,2,4,8,12,12,4,
4,4,4,24,1,2,1,2,1,3,3,3,3,2,6,3,3,2,2,3,2,6,3,2,6,9,6,3,3,3,3,9,6,6,2,6,2,2,
6,2,2,6,6,6,6,2,12,12,4,4,4,4,4,4,4,4,4,4,1,1,2,3,1,1,3,1,1,3,1,3,2,3,3,3,1,3,
1,1,3,1,3,3,3,6,2,2,3,2,3,3,3,6,6,2,2,2,6,6,2,6,2,2,6,2,2,6,2,12,6,2,2,6,6,2,
6,2,2,2,2,2,2,2,2,6,6,2,2,6,4,2,2,2,2,2,2,2,2,1,1,3,1,1,1,1,1,1,3,1,1,1,3,1,1,
1,1,1,1,1,3,1,1,3,1,1,1,1,1,3,1,1,1,1,6,2,2,2,6,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,2,4,24,16,1,1,1,4,2,10,2,4,12,2,24,4,16,8,8,8,16,16,
16,1,1,2,6,5,4,2,4,8,2,4,2,2,4,4,4,4,4,4,4,8,8,2,4,2,12,4,4,4,4,4,8,4,16,8,4,
4,8,8,8,16,8,8,8,8,1,2,1,2,1,2,1,1,2,3,1,2,2,4,2,2,1,2,1,2,1,1,4,2,2,4,2,2,2,
4,2,2,2,4,4,2,2,2,2,4,4,2,4,4,4,8,4,4,4,4,8,4,4,4,1,1,1,2,2,1,1,1,2,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,6,8,10,12,8,2,1,1,3,3,3,
4,7,5,6,4,4,8,12,8,8,4,4,4,4,4,8,16,16,16,1,1,2,1,2,3,1,2,2,1,2,1,2,4,6,4,3,1,
2,3,4,4,5,2,2,2,2,3,2,2,3,1,3,4,2,3,2,1,2,10,2,6,2,2,6,2,2,6,6,2,6,2,8,4,4,8,
8,4,4,4,4,8,8,8,8,8,8,1,1,2,2,1,1,1,1,1,1,1,2,1,2,2,2,4,1,2,2,2,2,2,2,1,1,1,1,
3,2,1,2,1,1,2,3,1,3,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,4,2,2,2,6,4,2,2,2,2,4,2,4,4,
2,2,4,6,2,6,6,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,
1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,12,4,12,8,2,1,2,3,3,6,2,4,2,6,4,24,4,8,24,16,1,1,1,3,3,1,1,3,3,1,6,4,2,6,
3,2,2,1,2,2,2,6,2,6,1,4,2,6,2,2,2,6,4,2,6,4,6,4,4,4,4,8,8,1,1,3,3,1,1,1,3,1,3,
2,2,3,2,1,1,3,2,2,3,1,2,1,1,2,1,3,1,3,1,2,6,2,2,2,2,2,2,6,6,2,4,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,4,4,12,24,1,1,1,2,2,6,2,8,6,4,6,12,24,16,16,8,8,32,32,1,1,3,2,4,1,2,
6,2,1,1,4,1,4,6,2,2,4,2,2,2,2,2,2,2,2,2,6,2,6,4,2,2,2,2,2,2,2,2,8,8,4,4,4,12,
8,8,8,8,4,8,8,8,8,4,8,16,8,16,16,1,1,1,1,1,1,1,1,1,3,1,2,1,1,3,1,2,2,4,4,2,2,
2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,2,2,2,4,2,2,2,1,1,2,1,2,1,2,2,2,2,
2,2,2,4,2,2,6,2,2,2,2,2,2,4,4,4,2,2,2,2,4,2,4,6,2,8,2,2,4,2,2,8,4,2,2,2,4,2,2,
2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,2,1,1,1,1,1,2,1,1,2,2,1,2,1,1,1,2,
1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,4,8,4,8,16,1,2,2,6,4,4,4,2,2,4,8,8,16,16,16,16,3,2,4,1,2,1,1,2,1,4,4,2,2,
6,2,2,2,2,6,2,4,4,4,4,4,12,4,4,4,8,8,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,2,2,1,
2,2,2,2,1,2,2,2,1,1,4,1,2,2,1,1,6,1,4,2,2,2,2,2,2,2,2,4,4,2,2,4,4,2,2,2,4,2,2,
2,2,2,2,2,2,2,4,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,1,2,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,8,16,16,1,6,4,12,8,8,16,8,32,16,2,3,4,4,6,4,4,4,2,2,8,4,4,8,8,4,4,4,4,4,8,
8,8,8,8,1,1,1,1,1,1,2,2,2,1,2,2,2,4,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,2,2,2,4,4,8,4,
4,8,16,16,2,2,1,2,2,4,4,2,4,8,8,4,4,4,4,4,8,4,8,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,1,2,8,8,1,6,4,4,4,4,8,16,3,4,2,2,2,4,2,4,8,4,4,4,4,4,4,
4,4,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,16,8,16,1,2,2,2,8,
4,4,8,16,8,16,16,16,16,16,32,2,4,1,4,4,4,4,8,4,4,4,4,2,4,4,4,2,4,12,8,8,8,8,8,
8,4,4,12,4,8,8,16,16,16,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,6,2,4,2,2,4,4,4,4,4,4,4,
4,8,4,8,8,8,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,12,
8,2,1,2,3,3,2,6,2,4,2,6,2,4,8,24,16,1,3,3,1,1,1,1,3,3,1,6,4,2,2,6,2,6,3,2,2,1,
2,6,2,1,4,2,6,2,2,2,6,4,2,6,4,6,4,4,4,4,8,8,3,1,1,1,1,3,3,3,1,1,2,2,3,2,1,1,3,
2,2,3,1,6,1,1,2,1,3,1,2,3,1,2,2,2,2,2,6,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,
4,8,16,1,2,2,2,2,2,4,4,4,2,8,2,4,8,16,8,16,16,16,16,2,2,1,2,1,2,1,1,1,4,4,4,4,
2,2,2,4,2,2,2,2,2,2,4,4,8,8,4,4,4,4,4,4,4,8,8,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,
2,2,1,2,2,2,2,2,1,2,2,2,1,1,4,1,2,1,4,1,2,1,4,4,2,4,2,4,2,2,2,2,2,2,4,4,2,2,4,
2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,
1,2,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,2,4,12,12,24,1,1,1,2,2,2,2,2,6,4,6,12,6,12,24,16,16,8,8,32,32,
32,1,2,3,1,2,1,2,6,2,1,1,2,1,4,2,2,2,4,4,2,4,2,4,2,2,2,2,6,2,2,2,2,6,4,2,2,6,
2,2,2,2,2,8,8,4,12,4,8,4,8,4,8,8,8,8,8,4,4,8,8,8,8,4,12,4,8,8,8,8,16,16,1,1,1,
1,1,1,2,2,1,1,2,1,1,2,1,2,1,3,1,1,2,2,2,2,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,2,2,2,2,2,6,2,1,1,2,1,1,4,2,2,2,2,4,2,2,2,4,4,2,2,6,2,2,2,2,2,2,4,4,4,2,2,
2,2,4,2,4,6,2,8,2,2,4,2,2,8,2,2,2,2,2,2,4,4,2,8,8,8,8,1,1,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,4,8,12,8,2,1,2,3,3,2,6,
2,4,6,4,8,4,16,8,24,16,1,3,3,1,1,1,3,3,1,1,6,6,6,3,1,2,4,2,2,2,6,2,2,2,1,2,6,
2,2,2,6,4,4,2,6,4,6,4,4,4,4,8,8,3,1,1,1,3,1,3,3,1,1,2,2,3,2,1,3,1,3,1,6,1,2,2,
1,1,3,1,1,2,2,2,3,2,2,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
4,4,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,4,12,8,3,2,3,3,
2,6,2,6,6,2,4,8,24,16,1,3,1,3,1,1,3,3,1,1,2,2,6,6,3,2,1,2,6,6,6,6,2,1,2,6,2,2,
2,6,2,6,4,4,6,4,4,4,4,8,8,3,1,1,2,3,1,3,1,1,1,3,2,2,3,1,1,3,1,3,1,1,1,2,6,1,1,
2,2,2,3,2,3,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,1,
1,1,3,1,1,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,16,16,1,1,1,3,3,4,10,
8,8,16,8,16,1,1,3,3,2,2,4,2,5,4,4,4,4,4,4,4,8,4,2,4,8,4,2,4,4,8,8,4,4,4,8,4,4,
8,1,1,2,3,1,2,3,1,2,2,1,2,2,2,2,4,4,4,4,4,8,4,2,4,2,2,2,4,4,4,4,4,4,1,1,2,1,2,
2,1,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,6,12,8,12,8,2,1,2,3,3,6,2,
2,2,4,6,2,24,8,4,16,8,24,16,1,1,1,3,3,1,3,3,1,1,6,2,6,2,3,1,4,2,2,6,2,6,2,2,1,
2,6,2,2,2,6,4,4,2,6,4,6,8,4,8,4,4,4,8,8,1,1,3,1,3,3,1,3,1,1,2,2,3,2,1,2,3,1,3,
1,1,2,2,1,1,3,1,1,2,3,2,6,2,6,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,4,4,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,16,16,1,
4,4,6,4,4,8,8,16,8,16,1,4,3,2,3,4,2,4,6,4,6,2,4,2,4,12,8,4,4,8,8,4,12,8,8,8,8,
1,3,1,1,3,1,3,2,2,2,2,2,4,2,2,6,2,4,4,4,8,4,4,4,4,4,4,4,4,4,1,1,2,2,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,12,12,8,3,2,3,3,6,2,2,6,6,2,24,8,
4,8,24,16,16,1,1,3,1,3,1,1,3,3,1,2,6,3,2,1,2,6,6,2,6,2,6,6,1,2,6,2,2,2,6,2,6,
4,4,6,8,8,4,4,4,4,8,8,1,3,1,2,1,1,3,1,3,1,3,2,2,3,1,2,1,6,3,1,3,2,1,2,1,1,1,3,
1,2,2,3,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,1,1,1,
1,1,1,3,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,6,8,18,12,8,3,1,3,3,3,4,2,3,
9,6,2,4,8,12,8,24,12,4,4,4,4,24,48,16,16,1,2,1,1,2,3,3,3,3,2,3,3,2,2,3,6,3,2,
6,3,6,6,3,9,3,6,9,2,3,6,2,6,2,2,6,2,2,6,6,6,6,2,12,12,8,8,4,4,4,8,4,4,4,4,4,4,
4,16,8,24,8,8,8,8,8,1,1,2,1,3,3,3,1,1,1,1,3,2,3,6,2,3,3,1,3,1,3,1,3,2,3,3,3,1,
3,6,3,3,2,6,2,12,2,6,6,6,2,6,2,2,2,2,6,2,6,6,2,6,2,2,2,6,2,2,6,2,2,2,2,6,2,2,
2,2,6,2,2,4,2,2,2,2,2,2,8,8,8,8,1,3,1,1,1,1,1,1,3,1,1,3,1,1,1,3,1,3,1,1,1,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,6,2,2,2,6,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,6,4,12,12,8,3,2,3,3,2,6,6,6,4,8,4,8,24,16,16,1,3,1,3,1,1,1,3,3,1,
6,2,6,3,2,1,6,2,6,2,6,2,6,1,2,6,2,2,2,6,2,6,4,4,6,4,4,4,4,8,8,3,1,1,2,1,3,1,1,
3,1,3,2,2,3,1,2,1,3,1,3,1,2,1,1,6,1,2,3,1,2,3,2,4,2,6,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,1,1,1,1,1,1,1,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,6,6,8,6,12,8,3,3,1,3,3,4,9,3,6,4,4,8,12,8,12,4,4,4,4,24,16,16,1,2,1,
1,2,3,3,3,3,2,6,3,3,2,2,3,6,3,6,2,9,6,3,3,3,3,2,9,6,6,2,6,2,2,6,2,2,6,6,6,6,2,
12,12,4,4,4,4,8,8,8,8,8,8,1,1,2,3,1,3,1,1,1,1,3,3,2,3,2,2,3,3,1,3,1,1,3,1,3,3,
3,6,3,3,3,3,6,2,6,2,2,6,6,4,6,6,2,2,6,2,2,2,2,12,6,2,2,6,2,6,2,2,2,2,6,2,2,2,
2,2,2,2,2,6,6,2,6,2,2,2,2,2,2,1,1,1,1,3,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,
1,3,1,1,3,1,1,1,1,3,1,2,2,6,2,6,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,2,16,16,1,1,1,1,1,4,14,8,16,8,16,1,1,2,2,4,2,7,4,4,4,2,2,4,4,4,2,4,
4,2,8,4,4,4,4,4,8,4,4,1,1,2,1,1,2,2,1,1,2,2,3,2,4,2,2,2,2,6,4,2,4,2,2,2,4,4,4,
4,4,4,2,1,2,1,1,1,2,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,8,4,1,3,
3,1,8,2,8,8,4,8,1,3,3,4,1,8,3,3,4,1,4,8,2,1,1,3,3,4,2,1,1,1,1],[1,1,1,8,4,3,6,
1,8,4,1,3,3,4,3,4,6,3,4,2,1,1,3,3,4,1,3,1,1],[1,1,36,1,8,4,3,18,1,8,4,12,12,
12,24,24,1,9,9,4,3,6,12,24,9,4,4,4,2,1,1,3,3,4,3,3,6,1,1],[1,1,36,1,8,4,3,18,
1,8,4,12,24,24,24,1,9,9,4,3,6,12,24,9,4,8,2,1,1,3,3,4,3,3,6,1,1],[1,1,6,1,8,4,
3,3,9,1,8,2,4,24,1,9,9,4,1,3,3,12,3,4,8,2,1,1,3,3,4,1,3,1,1],[1,1,12,1,8,4,3,
6,1,8,4,8,12,1,3,3,4,3,4,6,3,4,8,2,1,1,3,3,4,1,3,1,1],[1,1,18,1,8,4,3,3,9,1,8,
4,6,1,9,9,4,1,3,3,12,3,4,2,1,1,3,3,4,1,3,1,1],[1,1,36,4,5,4,3,18,4,4,1,4,12,
12,12,24,12,12,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,
36,4,5,4,3,18,4,4,1,4,12,12,12,12,12,24,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,
3,3,4,3,3,3,3,1,1],[1,1,2,4,5,4,1,3,3,4,5,8,5,5,4,8,1,3,3,4,4,5,4,3,3,1,4,8,1,
1,1,1,3,3,4,1,1,1,1,1,1],[1,1,2,6,6,36,1,2,1,1,3,3,3,3,18,36,36,1,2,2,2,2,2,1,
2,2,6,6,3,3,6,12,6,6,12,3,3,9,9,9,9,9,1,1,1,1,2,1,1,1,3,3,3,3,3,6,3,3,3,6,12,
12,6,6,6,12,12,6,9,1,1,1,2,2,2,2,1,1,3,3,3,3,3,3,6,3,3,3,3,3,3,1,1,1,1,1,1,1,
2,2,2,2,3,3,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,6,18,16,32,2,6,6,9,12,12,16,2,3,3,
9,18,8,12,6,9,8,12,1,1],[1,1,2,16,1,3,3,3,3,18,16,16,16,1,1,3,3,3,3,9,12,12,
16,1,1,3,3,9,9,9,4,4,12,3,3,9,4,4,12,1,1],[1,1,2,16,1,6,6,18,16,32,2,6,6,9,12,
12,16,2,3,3,9,18,8,12,6,9,8,12,1,1],[1,1,2,4,1,3,3,3,3,18,4,8,1,1,3,3,3,3,9,
12,12,4,12,12,1,1,3,3,9,9,9,1,4,12,12,3,3,9,1,4,1,3,1],[1,1,2,4,1,3,3,3,3,18,
4,4,4,1,1,3,3,3,3,9,12,12,4,12,12,1,1,3,3,9,9,9,1,4,12,12,3,3,9,1,4,1,3,1],[1,
1,2,16,1,3,3,3,3,18,16,32,1,1,3,3,3,3,9,12,12,16,1,1,3,3,9,9,9,4,4,12,3,3,9,4,
4,12,1,1],[1,1,2,4,1,6,6,18,4,4,4,2,6,6,9,12,12,4,12,12,2,3,3,9,18,1,4,12,12,
6,9,1,4,1,3,1],[1,1,2,12,16,4,1,1,1,6,6,8,8,12,48,4,8,16,1,3,3,4,4,4,6,6,8,8,
12,12,12,12,12,24,24,4,4,4,8,8,1,3,3,4,4,4,6,6,8,8,12,12,12,12,12,24,24,1,4,4,
4,8,8,1,2,4,4,6,6,8,1,1,1,2,2,4,1,1,1,1,2,2,1],[1,1,2,24,16,1,6,12,12,24,32,
16,32,6,3,8,4,6,16,8,12,24,8,16,1,2,2,3,3,6,6,12,4,8,16,8,3,6,6,8,4,8,1,1],[1,
1,2,12,4,1,1,1,6,6,6,12,6,12,4,8,1,3,3,4,6,6,6,12,6,12,12,12,4,4,4,1,3,3,4,4,
3,3,6,6,6,6,6,1,4,4,4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,1,6,12,12,24,4,1,6,3,3,
6,2,6,24,12,24,48,4,8,16,1,3,1,3,3,3,6,3,6,3,6,6,6,3,6,6,6,6,6,12,12,12,12,4,
4,4,8,8,1,3,3,3,2,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,
3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,12,24,16,1,3,3,6,6,12,12,
16,24,32,48,16,32,1,3,3,3,3,4,4,6,6,6,6,6,8,8,12,12,12,12,12,12,16,24,24,4,16,
8,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,4,4,4,8,8,16,3,3,3,4,6,12,4,
4,4,8,1,1,1],[1,1,2,12,12,12,4,1,1,1,6,6,6,6,6,12,6,24,4,8,8,8,1,3,3,6,4,3,6,
6,3,3,3,6,6,6,12,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,1,3,3,4,4,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,
1,4,3,1,1,1,1,1,1,1,1],[1,1,6,12,4,1,6,3,3,6,12,4,8,1,3,1,3,3,3,3,6,3,6,6,3,6,
4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,
2,12,24,4,1,1,1,6,6,12,12,12,24,4,8,16,1,3,3,4,6,6,6,12,6,6,6,12,6,6,12,12,12,
12,4,4,4,8,8,1,3,3,4,4,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,1,8,4,4,4,8,1,3,3,6,
6,6,6,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,12,4,1,1,1,6,6,12,4,8,1,3,3,4,4,4,
6,6,12,4,4,4,1,3,3,4,4,4,6,6,12,1,4,4,4,1,4,4,6,1,1,1,4,1,1,1,1,1],[1,1,6,12,
24,4,2,1,3,3,6,12,12,24,24,4,16,1,1,3,3,6,3,6,6,6,6,6,6,6,6,6,24,24,8,4,8,1,3,
3,3,2,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,12,
24,4,1,3,3,6,6,12,12,24,96,4,8,1,3,3,3,3,4,6,6,6,6,6,12,12,12,12,12,24,24,24,
24,4,12,12,1,1,3,3,3,4,4,6,6,6,6,6,6,8,8,12,12,12,24,24,1,4,12,12,1,2,3,3,4,4,
6,8,1,1,1,4,2,2,1,1,1,1,2,2,1],[1,1,12,6,4,1,6,3,3,6,6,6,4,8,1,3,1,3,3,3,6,3,
3,6,6,3,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,
1,1],[1,1,6,24,4,1,3,3,12,12,24,4,16,1,3,1,3,6,3,6,6,6,6,6,6,6,4,8,8,1,3,3,3,
3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,24,4,1,3,
3,6,2,6,12,6,24,24,4,16,1,3,1,3,6,6,3,6,6,6,6,6,6,6,6,24,24,4,8,8,1,3,3,3,2,3,
3,3,6,6,6,6,12,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,4,1,3,3,6,
2,12,12,24,4,1,3,1,3,6,6,3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,3,2,3,3,3,6,6,6,12,6,6,
1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,12,48,4,1,1,1,6,6,12,24,24,24,
48,48,4,8,16,16,1,3,3,4,6,6,6,12,6,12,12,12,12,12,12,12,24,24,4,4,4,8,8,32,1,
3,3,4,4,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,1,4,4,4,8,8,1,3,3,6,6,6,6,12,1,1,1,
2,2,4,3,1,1,1,2,2,1],[1,1,6,4,24,4,1,3,3,2,6,12,12,24,4,16,16,3,1,1,3,6,6,3,6,
6,6,6,6,6,6,6,4,8,8,1,3,3,3,2,3,3,3,6,6,6,6,12,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,1,6,4,12,24,4,1,6,3,3,2,6,6,12,24,48,4,8,16,16,3,1,1,3,3,3,6,
6,6,3,6,3,6,3,6,6,6,6,6,12,12,12,12,4,4,4,8,8,32,1,3,3,3,2,3,3,3,3,3,3,6,3,6,
6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,
1,2,2,1],[1,1,6,4,4,1,3,3,2,6,6,12,6,4,16,3,1,1,3,6,6,6,6,3,6,6,6,6,6,6,4,8,8,
1,3,3,3,2,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,
6,4,24,4,1,6,3,3,2,6,6,12,24,48,4,8,16,16,3,1,1,3,3,3,6,6,3,3,6,6,6,3,6,6,6,6,
6,12,12,12,12,4,4,4,8,8,32,1,3,3,3,2,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,12,24,
16,3,3,3,6,6,6,4,8,12,12,12,12,16,16,16,1,1,1,3,3,2,3,6,6,6,6,3,6,6,6,6,6,12,
12,12,12,4,8,16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,
1,1],[1,1,6,12,4,1,6,3,3,6,6,6,4,8,3,1,1,3,3,3,6,3,6,3,6,3,6,4,4,4,1,3,3,3,3,
3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,12,6,4,1,6,3,3,
6,12,4,8,3,1,1,3,3,3,3,3,6,6,6,3,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,
3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,24,4,1,3,3,12,12,24,4,16,3,1,1,3,6,6,3,
6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,
1,1,1],[1,1,6,4,12,4,2,1,3,3,2,6,6,24,4,16,1,3,3,1,1,1,3,3,6,6,6,3,6,6,6,6,6,
8,4,8,3,1,1,3,3,3,2,2,3,3,3,6,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,
1],[1,1,6,12,12,4,2,1,6,3,3,12,6,6,24,4,8,1,1,3,3,3,3,6,12,6,3,6,6,3,6,6,6,3,
12,6,6,12,12,6,4,8,4,8,4,1,3,3,3,2,3,6,3,3,6,6,3,6,3,3,3,6,6,6,6,6,6,6,12,6,6,
1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,12,24,4,3,
3,3,6,6,6,12,24,24,4,16,1,1,3,3,6,3,6,6,6,6,6,6,6,6,6,24,24,12,8,1,3,3,3,2,3,
3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,36,12,4,3,6,
3,3,18,6,24,24,48,4,24,1,1,3,3,3,3,3,6,3,6,6,6,18,6,18,3,6,6,12,12,6,4,12,12,
1,6,3,3,3,2,3,3,6,3,3,6,3,3,3,6,12,6,6,6,6,6,6,6,6,6,1,4,12,12,1,3,3,3,3,3,3,
6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,1,2,6,18,12,16,3,1,3,3,3,3,9,6,4,8,12,
24,12,24,48,16,32,1,1,1,3,3,3,3,2,3,3,3,6,3,6,3,6,6,3,9,3,6,9,3,6,6,6,6,6,6,6,
12,12,8,16,24,4,8,16,1,1,1,3,3,3,3,2,3,6,3,3,3,3,3,3,3,3,3,6,3,3,6,12,6,6,6,6,
6,6,6,6,6,6,6,6,4,4,4,8,8,16,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,6,4,12,4,3,
3,3,2,6,6,24,4,16,1,3,1,3,1,1,3,3,6,6,3,6,6,6,6,6,6,12,8,3,1,1,3,3,3,2,2,3,3,
3,6,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,6,12,12,4,2,1,3,3,6,
2,6,24,24,4,1,1,1,3,3,1,3,3,6,6,3,6,6,6,6,6,6,8,4,8,1,1,3,3,3,3,2,2,3,3,3,3,3,
6,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,6,12,24,4,2,1,3,3,6,6,6,
12,24,24,4,16,1,1,3,3,6,6,6,3,6,6,6,6,6,6,6,24,24,8,4,8,1,3,3,3,2,3,3,3,6,6,6,
6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,24,4,3,3,3,6,12,12,
24,24,4,16,1,1,3,3,6,3,6,6,6,6,6,6,6,6,6,24,24,12,8,1,3,3,3,2,3,3,3,6,6,6,6,6,
12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,24,24,4,1,3,3,12,24,12,24,
4,16,16,3,1,1,3,3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,6,12,24,4,1,6,3,3,6,2,6,24,12,24,48,4,8,
16,1,3,1,3,3,3,6,6,3,3,6,6,6,3,6,6,6,6,6,12,12,12,12,4,4,4,8,8,1,3,3,3,2,3,6,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,
1,2,2,4,3,1,1,1,2,2,1],[1,1,12,6,12,4,3,6,3,3,18,6,24,4,8,1,1,3,3,3,3,6,3,6,3,
6,18,6,18,6,3,6,6,12,12,6,4,12,12,1,6,3,3,3,2,3,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,
12,6,6,6,1,4,12,12,1,3,3,3,3,3,3,6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,1,6,6,
6,12,16,3,3,1,3,3,9,3,6,4,8,12,12,24,16,1,1,1,3,3,3,3,2,6,3,3,3,6,3,6,9,6,3,3,
3,3,9,6,6,6,6,6,6,6,6,12,12,4,8,16,1,1,3,1,3,3,3,2,3,3,3,3,3,3,3,3,6,3,3,3,3,
6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,
6,24,24,4,1,3,3,12,24,12,24,4,16,16,1,3,1,3,6,3,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,
3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,24,12,16,3,3,
3,12,6,4,8,12,24,12,16,32,1,6,1,1,6,3,3,2,3,6,6,6,3,6,6,6,6,24,24,4,16,8,6,3,
3,3,6,3,3,3,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,12,12,4,3,
3,3,6,2,6,24,24,4,1,1,3,1,3,1,3,3,6,3,6,6,6,6,6,6,6,12,8,1,3,1,3,3,3,2,2,3,6,
3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,6,12,24,16,3,3,3,6,
4,12,8,12,12,12,12,16,32,1,1,1,3,3,2,3,6,6,6,6,3,6,6,6,6,6,24,24,4,8,16,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,12,16,3,3,3,
12,6,4,8,12,12,16,1,6,1,6,1,3,3,2,3,6,6,6,6,3,6,6,6,4,16,8,6,3,3,3,3,3,3,3,6,
6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,12,6,24,12,4,2,1,6,3,3,6,12,
6,24,48,24,4,8,16,1,1,3,3,3,3,6,3,3,12,6,6,6,6,6,6,3,6,6,12,12,12,6,4,8,4,4,8,
1,3,3,3,2,3,6,3,3,3,6,6,3,3,3,6,6,6,12,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,
3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,12,12,4,2,1,6,3,3,12,6,6,24,4,8,1,
1,3,3,3,3,3,12,3,3,3,6,3,6,3,3,3,6,3,6,6,6,6,6,6,12,6,6,4,8,4,8,4,1,3,1,1,3,3,
3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,6,6,3,3,6,3,6,6,3,3,3,3,3,3,1,4,4,4,8,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,12,24,4,1,
2,3,6,3,6,6,12,12,12,12,12,4,16,1,1,3,3,6,3,3,6,3,6,6,6,6,6,6,12,6,12,12,12,4,
8,8,1,3,3,3,2,3,3,3,6,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,
1,6,12,24,4,1,2,3,3,6,6,6,12,12,12,12,12,4,16,1,1,3,3,6,3,3,3,6,6,6,6,6,6,6,6,
12,12,12,12,4,8,8,1,3,3,3,2,3,3,3,6,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,
3,1,1,1,1],[1,1,2,12,4,1,1,1,6,6,6,12,6,12,4,4,4,1,3,3,4,6,6,6,6,12,12,12,12,
4,4,4,1,3,3,4,4,6,3,3,6,6,6,6,1,4,4,4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,1,12,6,
24,12,4,2,1,6,3,3,6,12,6,24,24,24,24,4,8,16,1,1,3,3,3,3,3,3,6,3,3,3,12,3,3,6,
3,6,3,6,6,6,6,6,6,6,12,6,4,8,4,4,8,1,3,1,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
6,3,6,3,3,3,3,6,3,6,3,3,3,6,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,
1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,12,24,16,1,3,3,6,6,12,12,16,24,32,48,16,
32,1,3,3,3,4,6,3,8,4,8,6,6,6,6,16,12,12,12,12,12,12,12,12,24,4,16,8,1,1,2,1,3,
3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,4,4,8,8,4,16,3,3,3,4,6,12,4,4,4,8,1,1,
1],[1,1,6,12,24,16,3,3,6,3,4,6,6,8,12,12,12,12,16,16,16,1,1,1,3,3,2,6,3,6,6,3,
6,6,6,6,6,6,12,12,12,12,4,8,16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,
3,3,3,3,4,4,4,3,1,1],[1,1,2,12,48,4,1,1,1,6,6,12,24,24,24,48,48,4,4,4,16,16,1,
3,3,4,6,6,12,12,6,12,6,12,12,12,24,12,12,24,4,4,4,8,8,16,16,1,3,3,4,4,3,3,6,6,
6,6,6,6,6,6,6,12,12,12,12,1,4,4,4,8,8,1,3,3,6,6,6,6,12,1,1,1,2,2,4,3,1,1,1,2,
2,1],[1,1,6,12,24,4,3,3,3,6,6,6,12,12,12,12,12,4,16,1,1,3,3,6,6,3,3,6,3,6,6,6,
6,6,6,12,12,12,12,12,8,1,3,3,3,2,3,3,3,6,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,
2,2,4,3,1,1,1,1],[1,1,2,4,1,1,1,3,3,6,4,8,1,1,3,3,3,12,6,6,4,4,4,1,3,3,6,6,1,
4,4,4,1,3,3,1,4,3,1,1],[1,1,2,12,24,4,1,3,3,6,6,12,12,24,48,48,4,4,4,1,3,3,3,
6,3,4,6,6,6,6,12,12,12,12,24,12,12,12,12,12,24,4,12,12,1,1,3,3,3,3,3,4,4,6,6,
6,6,6,8,8,12,12,12,24,24,1,4,12,12,1,2,3,3,4,4,6,8,1,1,1,4,2,2,1,1,1,1,2,2,
1],[1,1,12,6,8,12,24,4,1,6,3,3,4,4,6,12,24,12,12,12,48,48,4,8,8,8,8,8,1,3,3,3,
4,6,3,3,3,3,3,3,3,6,3,3,6,6,6,6,6,12,12,12,12,24,24,4,4,4,4,4,4,4,16,16,1,3,1,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,6,3,6,3,3,3,3,3,3,3,3,3,12,1,4,4,4,4,
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,
8,24,4,1,6,3,3,4,4,6,12,12,12,12,4,8,8,8,1,3,3,3,4,6,3,3,3,3,3,3,6,3,3,3,6,6,
6,6,6,12,12,12,12,4,4,4,4,4,4,4,1,3,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,
6,3,3,3,3,3,3,3,3,6,3,3,12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,
1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,24,16,1,6,12,12,24,32,16,32,3,4,6,6,8,8,
16,12,24,16,8,1,2,2,3,3,6,6,6,6,4,8,8,16,3,6,6,4,8,8,1,1],[1,1,6,12,24,16,3,3,
3,6,4,6,6,8,12,12,12,12,16,16,16,1,1,1,3,3,2,6,6,3,6,3,6,6,6,12,6,6,6,12,12,
12,4,8,16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[
1,1,2,48,4,1,4,4,6,24,48,4,4,4,16,16,1,4,3,3,12,12,12,24,24,12,4,4,4,8,8,16,
16,1,3,3,6,12,6,12,12,1,4,4,4,8,8,1,3,3,6,6,1,4,4,3,1,2,1],[1,1,2,48,4,1,3,3,
1,1,6,24,48,4,4,4,16,16,1,3,3,1,3,12,12,12,12,12,12,12,12,4,4,4,8,8,16,16,1,3,
3,6,6,12,6,6,12,1,4,4,4,8,8,1,3,6,3,6,1,4,4,3,1,2,1],[1,1,2,8,12,24,4,1,6,4,4,
6,6,12,24,48,4,8,8,8,8,8,3,4,3,3,4,3,6,3,6,6,6,6,6,6,12,6,12,12,12,12,4,4,4,4,
4,4,4,16,16,1,3,3,4,4,3,6,3,3,6,3,3,6,3,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,4,4,4,
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],[1,1,2,4,1,3,3,1,1,
6,4,4,4,1,3,3,1,3,6,6,12,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,1,1],[1,1,2,24,
12,4,1,1,1,6,12,12,6,12,24,4,8,16,1,3,4,3,3,3,6,3,6,6,3,12,6,6,6,6,12,6,6,6,6,
12,6,4,4,4,8,8,1,3,3,3,3,4,4,3,3,3,6,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,8,4,4,
4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,12,8,24,4,
1,6,6,6,4,4,12,24,48,4,8,8,8,8,8,3,6,4,3,3,4,3,6,6,6,3,6,6,6,12,6,12,12,12,12,
4,4,4,4,4,4,4,16,16,1,3,3,4,4,3,3,3,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,
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],[1,1,6,12,
24,4,3,3,6,3,6,6,12,12,12,12,12,4,16,1,1,3,3,6,6,3,3,3,6,6,6,6,6,6,12,6,12,12,
12,12,8,1,3,3,3,2,3,3,3,6,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,2,48,4,1,1,1,3,3,6,24,48,4,8,16,16,1,1,3,3,3,12,12,12,12,12,12,12,12,
4,4,4,8,8,32,1,3,3,6,6,6,6,12,12,1,4,4,4,8,8,1,3,3,6,6,1,4,4,3,1,2,1],[1,1,2,
12,12,12,4,1,1,1,6,6,6,6,6,6,12,24,4,8,8,8,1,3,6,4,3,3,3,6,6,3,6,6,6,6,3,6,6,
6,6,6,12,6,6,6,6,4,4,4,4,4,4,4,1,3,3,3,3,4,4,3,3,6,3,3,6,6,3,3,6,6,6,6,6,6,6,
6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,
1],[1,1,2,4,1,4,4,6,4,4,4,1,4,3,3,6,6,12,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,
1,1],[1,1,2,8,12,24,4,1,4,4,6,6,6,12,24,48,4,8,8,4,4,8,8,3,4,4,6,6,6,3,12,3,3,
3,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,1,4,4,6,3,3,3,3,3,3,3,3,6,6,6,6,
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],[1,1,2,2,12,12,6,24,4,1,1,1,6,6,6,3,3,12,3,3,16,6,12,12,12,12,
12,12,12,24,24,24,24,4,8,8,4,4,8,8,3,4,1,6,8,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,8,6,12,6,6,6,6,6,12,6,12,6,6,6,6,6,12,12,12,12,24,12,24,1,4,4,4,4,4,4,4,
8,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,6,3,6,12,6,6,
6,12,6,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,
1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,2,12,6,24,4,1,3,3,1,1,6,6,3,3,12,
24,24,24,4,8,8,4,4,8,8,1,3,3,3,3,3,3,1,6,6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,4,4,4,4,4,4,4,8,8,8,8,1,3,3,3,3,3,1,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,6,3,3,3,3,6,3,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,
1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,6,4,18,24,1,1,3,3,3,3,2,2,9,9,12,24,24,24,1,
2,2,6,4,4,4,1,3,3,1,1,1,1,3,2,2,9,9,9,9,9,9,9,6,6,6,6,18,6,6,6,6,6,6,6,6,1,1,
1,3,3,3,3,2,2,2,2,8,8,8,1,1,1,1,1,1,3,1,3,9,3,3,9,9,9,3,3,3,3,3,3,3,3,3,3,3,6,
3,3,3,3,6,3,6,6,6,6,1,1,1,1,3,1,1,1,1,3,3,3,3,3,1,3,3,3,1,2,2,2,2,2,2,2,6,2,2,
2,2,2,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,1,1,3,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,
36,72,1,3,3,6,6,18,18,36,36,36,48,72,96,144,288,1,2,3,3,6,6,9,9,12,12,12,18,
18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,
72,72,72,72,72,72,72,144,144,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,144,144,144,
144,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,72,1,2,3,3,3,6,6,6,9,9,9,9,
9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,3,
6,9,9,18,18,1],[1,1,2,12,24,1,1,1,6,6,18,6,12,12,12,24,48,2,1,6,6,3,9,4,4,12,
12,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,2,3,3,9,3,3,3,3,4,4,4,
6,6,6,6,6,18,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,24,1,2,6,2,
3,3,3,9,3,3,4,4,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,1,3,3,3,6,6,
6,6,6,6,6,6,1,3,3,1],[1,1,2,12,16,24,1,1,1,6,6,18,6,8,8,12,12,12,24,48,2,1,6,
6,3,9,4,12,4,12,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,24,2,3,3,9,3,3,3,3,4,4,4,6,6,6,18,6,6,6,6,6,6,6,8,8,8,8,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,1,2,6,2,2,3,3,
3,9,3,3,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,
24,1,1,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,2,3,3,6,1],[1,1,2,12,16,8,1,1,1,2,2,10,
6,4,8,12,8,4,8,16,32,32,1,2,3,5,4,4,2,6,6,4,2,4,4,4,8,4,12,4,4,4,4,8,8,4,8,4,
8,8,16,8,8,8,8,16,8,8,8,8,16,1,1,1,1,3,1,3,4,4,2,2,4,4,2,2,2,2,8,8,8,4,4,4,4,
4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,
1,2,4,2,2,2,2,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,4,1],[1,1,2,20,16,40,1,3,3,2,2,10,10,8,8,12,20,20,16,40,32,48,48,16,
96,1,3,3,2,5,5,4,4,4,4,4,4,4,10,10,10,10,10,6,8,8,8,8,20,4,8,12,12,8,12,12,12,
20,20,4,12,20,12,16,8,16,8,24,24,24,24,24,24,16,8,24,16,16,8,24,32,32,32,32,1,
1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,4,4,4,4,4,4,2,6,6,6,4,10,2,6,6,4,6,10,6,10,2,6,
6,10,8,8,8,8,4,12,12,4,12,12,12,12,12,4,12,12,4,4,8,12,8,8,12,12,8,20,8,8,12,
4,12,12,4,12,4,8,8,24,24,8,24,24,8,8,24,8,8,24,8,8,8,8,8,16,16,16,16,1,2,2,2,
5,3,1,1,3,3,1,1,1,1,4,4,4,4,4,4,4,4,2,4,4,6,2,2,2,2,2,6,6,6,2,2,6,2,6,2,2,6,2,
6,2,2,2,2,6,2,8,8,8,4,8,4,12,8,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,12,8,4,12,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,2,2,2,2,
2,2,2,2,2,4,2,2,6,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,12,16,8,1,1,1,2,2,10,6,4,8,12,8,4,8,16,32,1,2,3,5,4,4,2,6,6,4,2,4,4,4,8,
4,12,4,4,4,4,8,8,4,8,4,16,8,8,8,8,8,8,8,16,8,8,8,8,8,1,1,1,1,3,1,3,4,4,2,2,4,
4,2,2,2,2,8,8,4,4,8,4,4,4,4,8,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,20,40,1,3,3,2,2,10,10,12,20,
20,16,40,32,48,96,1,3,3,2,5,5,4,4,4,10,10,10,10,10,6,8,8,20,4,8,12,8,12,20,20,
4,12,20,16,16,24,24,24,24,24,8,16,8,8,16,16,8,24,32,16,32,1,1,1,1,2,1,3,3,1,5,
3,5,4,4,4,4,2,6,4,10,2,6,6,4,10,10,2,6,6,10,8,8,12,12,12,12,12,8,12,8,8,8,20,
4,8,8,4,4,4,8,24,24,24,8,8,8,8,8,24,8,8,8,16,16,16,16,1,2,2,5,3,1,1,3,3,1,1,1,
1,4,4,4,2,4,4,6,2,2,2,2,6,2,2,2,2,2,2,2,2,8,8,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,
12,8,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,
2,2,1],[1,1,2,8,12,8,24,1,1,1,6,6,4,4,18,6,12,4,12,4,12,24,16,32,2,1,6,6,3,9,
12,4,12,6,6,6,6,6,2,6,2,12,4,12,4,12,12,4,12,12,12,4,12,4,4,12,12,4,4,4,4,4,4,
4,8,24,24,8,24,8,8,24,8,8,24,24,2,3,3,9,3,3,3,3,4,4,4,4,2,6,6,6,6,2,18,2,6,6,
6,2,2,6,2,6,6,8,8,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,12,4,12,4,4,4,12,12,12,4,
4,12,12,12,4,4,12,4,4,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,1,1,2,6,2,1,3,3,3,3,1,
9,3,3,2,6,2,2,6,6,6,6,6,2,2,6,2,2,2,6,6,2,2,2,6,12,12,4,4,4,12,4,4,4,4,4,4,4,
4,12,4,4,12,12,4,4,4,4,4,8,8,8,8,1,3,1,3,3,1,3,1,1,1,1,2,6,2,2,2,2,6,2,2,6,2,
2,2,6,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,28,16,24,1,1,1,2,2,10,14,8,
8,20,28,12,32,24,32,48,32,64,1,2,7,5,4,8,4,4,4,6,6,6,10,8,8,8,16,8,4,12,4,12,
12,12,20,8,4,12,8,8,12,8,16,16,24,24,16,16,8,16,40,8,24,8,16,8,16,16,48,64,64,
1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,10,6,4,4,8,2,2,2,6,4,6,2,6,6,4,8,8,8,8,8,4,4,12,
8,12,4,4,4,8,12,8,8,4,12,8,16,8,4,12,12,8,8,8,24,8,16,24,8,16,16,8,8,16,8,16,
8,8,16,16,16,1,2,2,1,1,1,2,1,2,1,3,4,4,2,2,4,4,6,4,4,8,6,2,2,2,2,2,6,6,2,2,2,
4,2,8,4,8,4,4,4,8,4,8,4,8,8,4,4,8,8,8,4,8,4,4,4,4,8,4,4,4,4,4,16,8,16,1,1,2,1,
1,2,1,2,2,2,2,2,2,2,2,4,2,2,2,4,2,4,2,4,8,8,4,4,4,4,1,1,2,1,2,2,2,4,1],[1,1,2,
28,24,32,1,1,1,2,2,10,14,20,28,12,32,24,32,16,16,16,32,64,32,1,2,7,5,8,4,4,6,
6,6,10,8,16,8,4,12,4,4,20,4,8,4,12,8,8,16,24,8,8,8,8,8,16,16,8,16,8,40,8,8,8,
8,8,16,8,16,16,16,16,16,16,16,16,48,1,2,1,2,2,1,1,5,3,2,3,4,4,4,10,6,4,4,8,2,
2,2,2,4,2,2,6,6,4,8,8,4,4,4,8,4,4,12,8,8,4,4,4,4,8,4,16,8,4,4,4,8,4,4,8,8,8,8,
8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,1,2,1,1,1,
2,1,2,1,3,2,2,2,4,4,6,2,4,8,2,2,2,2,2,6,2,2,2,2,4,2,4,8,4,4,4,8,4,4,8,4,4,8,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,1,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,28,24,
1,1,1,2,2,10,14,20,4,28,12,4,32,24,8,32,64,1,2,7,5,8,4,4,6,6,6,10,8,16,8,4,12,
4,4,20,8,4,4,12,8,8,8,16,8,24,16,8,16,8,16,40,8,8,16,8,16,16,16,48,1,2,1,2,2,
1,1,5,3,2,3,4,4,4,10,6,4,4,2,8,2,2,2,4,2,6,6,2,4,8,8,4,8,4,4,4,12,4,8,8,4,8,4,
16,8,4,4,4,4,8,8,8,8,8,8,8,16,8,8,16,16,16,1,2,1,1,1,2,1,2,1,3,2,2,2,2,4,4,6,
4,8,2,2,2,6,2,2,4,2,4,8,4,4,4,8,4,8,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,8,
8,1,2,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,20,24,
40,1,3,3,2,2,4,4,10,10,12,12,20,12,20,16,40,32,48,48,48,96,96,96,1,3,3,2,5,5,
4,4,4,4,6,10,10,10,10,10,6,6,6,6,8,8,20,12,4,12,8,12,12,8,12,12,12,12,4,12,20,
12,12,20,4,12,12,12,12,12,20,12,12,12,12,4,16,24,24,16,24,24,8,24,24,24,24,24,
16,24,24,8,24,16,24,24,24,16,8,24,24,32,32,32,64,96,1,1,1,1,2,1,3,3,1,5,3,5,4,
4,4,4,4,4,4,4,6,4,4,2,2,6,6,6,6,4,10,2,6,6,6,6,4,2,6,10,10,6,2,6,6,10,8,8,8,8,
12,12,12,12,12,12,12,12,12,12,4,12,12,4,12,12,12,12,4,12,12,12,12,4,12,4,8,12,
12,12,12,12,12,4,4,8,8,12,12,12,12,4,12,4,12,4,4,8,20,4,12,8,8,12,12,12,12,12,
12,4,4,12,4,12,8,8,8,24,8,8,24,24,24,24,24,24,8,8,24,8,24,8,24,24,24,24,24,24,
24,24,24,8,24,24,24,24,24,24,24,24,24,24,24,24,8,24,8,8,8,8,8,24,24,8,24,8,8,
8,16,16,16,16,1,1,2,2,5,3,3,1,1,1,3,3,1,1,1,1,1,4,4,4,4,4,2,2,2,6,4,6,4,6,2,2,
2,2,6,2,2,2,6,6,6,2,6,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,8,8,8,8,12,4,12,4,8,4,
4,4,12,4,4,12,12,4,4,4,4,4,12,12,12,4,4,4,4,12,12,12,4,12,4,4,12,12,4,4,4,12,
12,12,4,4,4,12,4,4,4,4,12,12,4,4,4,12,8,4,4,4,12,12,4,4,8,4,4,4,4,24,8,24,8,8,
8,24,8,24,8,24,24,8,8,8,8,24,24,8,8,24,8,24,8,8,8,8,24,8,8,24,1,1,1,1,1,1,1,3,
1,1,1,1,1,3,1,4,4,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
12,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,12,16,24,1,1,1,6,6,18,6,12,8,12,8,12,24,16,32,
2,1,6,6,3,9,12,12,6,6,6,4,6,4,12,12,8,12,12,12,12,4,4,12,12,8,8,4,8,4,8,8,24,
24,16,24,8,8,16,24,8,8,24,24,8,2,3,3,9,3,3,3,3,4,4,6,6,6,2,2,18,4,6,6,4,6,6,6,
8,8,8,8,12,4,4,4,4,4,12,8,4,8,8,12,4,12,4,12,12,12,4,12,4,4,8,12,8,8,8,8,24,8,
8,8,8,8,8,8,8,8,16,8,16,8,8,8,1,2,6,2,2,3,3,3,2,9,3,3,4,6,6,6,6,6,2,2,6,2,4,2,
6,4,6,12,12,4,4,4,12,4,8,4,4,4,4,4,12,4,4,12,12,4,8,4,4,8,8,8,8,8,8,1,1,3,2,3,
1,1,1,2,6,2,2,2,2,2,6,2,2,4,2,6,4,6,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,
28,16,24,1,1,1,2,2,10,14,20,8,28,8,12,32,24,32,16,64,32,1,2,7,5,8,4,4,6,6,6,4,
10,4,8,16,8,4,12,8,4,20,4,8,8,4,4,12,8,8,8,4,8,8,4,8,16,24,16,16,16,8,8,8,16,
40,16,8,8,8,8,16,8,8,16,16,48,1,2,1,2,2,1,1,5,3,2,3,4,4,4,10,6,4,2,2,4,4,8,4,
2,2,2,4,2,6,6,4,8,8,8,8,4,4,4,4,4,8,4,8,4,4,12,8,8,8,8,4,4,8,4,8,16,8,4,4,4,4,
8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,16,8,16,16,16,1,2,2,1,2,1,1,2,
1,2,1,3,2,2,4,4,2,6,4,8,2,2,2,2,2,4,6,2,4,2,4,2,4,2,4,8,4,4,4,4,8,4,8,4,4,4,8,
8,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,1,2,1,1,1,2,2,1,1,1,2,2,2,
2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,20,40,
32,1,3,3,2,2,10,10,12,4,20,20,4,16,40,8,32,48,16,16,16,32,96,32,1,3,3,2,5,5,4,
4,4,10,10,10,10,10,6,8,8,20,4,8,12,4,8,4,12,4,20,4,20,4,12,20,16,8,16,8,24,8,
8,8,8,8,24,8,24,24,24,16,8,8,16,8,16,8,24,16,16,16,16,32,16,16,16,16,16,32,16,
32,32,32,32,32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,2,6,4,2,10,2,6,6,4,2,10,2,
10,2,6,2,6,10,8,8,4,4,12,12,12,12,4,12,4,4,8,4,12,8,8,4,4,4,8,4,20,8,8,4,4,4,
4,4,4,4,4,8,8,8,24,8,24,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,1,2,2,5,3,1,1,3,3,1,1,1,1,4,4,4,2,2,
4,2,4,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,8,4,4,8,4,
8,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,20,
40,1,3,3,2,2,10,10,12,20,20,16,40,32,48,96,1,3,3,2,5,5,4,4,4,10,10,10,10,10,6,
8,8,20,4,8,12,8,12,8,20,20,4,12,20,8,16,16,24,24,16,24,24,24,16,8,16,16,8,24,
32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,2,4,6,4,10,2,6,6,4,4,10,10,2,6,6,10,8,8,
12,12,8,12,12,12,8,8,12,8,8,8,8,8,20,8,8,8,4,4,8,16,24,24,16,24,16,8,24,16,8,
8,16,16,16,16,1,2,2,5,3,1,2,1,3,3,2,1,1,1,1,4,4,4,2,4,4,4,6,2,2,4,2,2,6,2,2,4,
4,2,4,2,2,2,2,2,8,8,8,4,8,4,4,4,4,8,8,4,8,8,4,4,4,4,12,8,4,8,8,8,16,1,1,1,1,1,
1,1,1,2,1,1,2,1,2,2,4,4,2,4,2,4,2,4,2,2,2,2,2,4,4,8,4,2,1,1,1,2,2,2,2,2,1],[1,
1,2,8,12,16,8,8,32,1,1,1,2,2,4,4,10,6,8,8,4,4,12,4,4,8,48,16,16,16,16,32,32,
32,64,64,1,2,3,5,4,4,4,4,4,6,2,6,6,6,2,2,2,8,8,4,4,4,4,4,4,12,12,4,12,12,12,4,
4,4,4,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,24,8,8,8,8,8,8,8,24,8,8,8,8,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,32,32,1,1,1,1,3,1,3,4,4,4,4,4,2,2,2,4,2,2,6,
6,2,2,2,2,6,2,2,2,2,8,8,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,
4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,8,8,8,8,8,24,8,8,
24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,2,1,1,1,1,1,1,1,1,1,4,4,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,1],[1,1,2,8,12,8,8,1,1,1,2,2,4,4,10,6,4,
4,4,12,4,4,4,8,8,16,16,32,1,2,3,5,4,4,4,4,4,6,2,6,6,6,2,2,2,4,4,4,4,4,4,4,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,3,1,3,4,
4,4,4,4,2,2,6,2,6,4,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,1,1,1,1,1,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[
1,1,2,8,12,8,8,1,1,1,2,2,4,4,10,6,4,4,12,4,4,8,16,32,32,1,2,3,5,4,4,4,6,2,6,6,
6,2,2,2,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,16,8,8,8,8,8,8,8,8,1,
1,1,1,3,1,3,4,4,4,4,2,2,2,4,2,2,6,2,2,2,2,2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,2,1,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,12,16,8,32,1,1,1,2,2,10,6,4,8,12,8,4,8,16,
16,16,16,16,32,32,32,1,2,3,5,4,4,4,4,2,6,6,4,2,4,4,4,8,4,4,12,4,4,4,4,4,8,8,4,
8,4,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,16,16,16,16,16,16,32,32,1,1,1,1,3,
1,3,4,4,4,2,6,2,6,4,4,2,2,2,2,2,2,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,
8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
1,1,1,2,2,2,2,2,2,1],[1,1,2,12,16,16,8,1,1,1,2,2,10,6,8,8,4,4,8,12,8,4,4,8,8,
48,16,32,1,2,3,5,4,4,4,4,2,6,6,4,2,4,8,8,4,4,8,4,4,12,12,12,12,4,4,4,4,4,8,8,
4,8,4,12,8,8,8,8,8,8,24,8,8,8,8,16,24,8,8,8,8,16,16,1,1,1,1,3,1,3,4,4,4,2,2,4,
2,4,2,6,6,2,2,2,2,8,8,8,8,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,8,4,4,12,4,4,4,4,4,
4,4,4,4,4,12,4,4,12,8,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
1,2,2,1,1,1,1,1,1,4,4,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,2,8,28,8,24,1,1,1,2,2,4,4,10,14,20,4,28,4,12,32,24,32,16,32,64,1,2,7,
5,8,4,4,4,6,6,6,6,6,2,10,2,8,16,8,4,4,12,4,4,4,12,20,4,4,4,8,4,4,12,4,4,8,4,8,
4,4,4,12,8,16,24,16,8,16,8,16,40,8,8,8,8,8,8,16,8,16,16,48,1,2,1,2,2,1,1,5,3,
2,3,4,4,4,4,2,4,10,6,2,2,4,4,8,2,2,2,6,2,6,2,4,2,2,6,6,4,8,8,4,4,4,4,4,4,4,12,
8,4,4,4,4,4,12,4,4,8,4,4,4,8,4,4,12,4,4,8,4,4,16,8,4,4,4,4,8,4,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,16,8,8,8,8,8,16,16,16,1,1,2,1,1,1,1,1,2,3,1,2,1,3,2,2,2,2,2,4,4,
2,6,2,4,8,6,2,2,2,2,2,2,6,2,2,2,6,2,2,4,2,4,8,4,4,4,8,4,4,4,8,4,4,8,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,3,2,1,1,1,1,1,1,1,1,3,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,24,
32,1,1,1,6,6,18,6,12,12,12,24,16,16,16,32,32,2,1,6,6,3,9,12,12,6,6,6,6,12,12,
12,12,12,4,12,4,12,12,24,24,8,8,8,8,8,24,24,8,8,24,24,16,16,16,16,16,16,16,2,
3,3,9,3,3,3,3,4,4,6,6,6,18,6,6,2,2,6,6,6,8,8,4,4,12,12,4,12,4,4,4,12,12,12,12,
4,12,12,4,4,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,6,2,3,3,3,9,
3,3,6,6,6,2,6,6,2,6,2,2,6,2,2,6,12,12,4,4,12,4,4,4,4,4,4,4,4,12,4,4,12,12,4,8,
8,8,8,8,8,8,8,8,8,1,3,3,1,1,2,2,6,2,2,2,2,6,2,6,2,6,2,4,4,4,4,4,4,4,4,1,1,1,2,
2,2,2,4,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,16,1,2,3,5,4,4,4,4,2,6,6,2,4,4,
4,12,4,4,8,8,8,8,8,8,16,1,1,1,1,3,1,3,4,4,4,6,6,4,2,4,2,2,2,4,4,4,4,4,4,4,4,
12,4,8,8,8,8,8,1,1,1,1,2,1,1,1,4,4,2,6,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,
2,2,2,2,1,1,1,1],[1,1,2,12,16,8,1,1,1,2,2,10,6,8,8,4,12,4,8,48,1,2,3,5,4,4,4,
4,2,6,6,2,8,8,4,4,4,12,12,12,12,8,4,4,12,8,8,8,24,8,24,8,16,1,1,1,1,3,1,3,4,4,
4,4,4,2,6,6,2,2,2,8,8,4,4,12,12,4,4,4,4,12,4,4,4,12,12,8,8,24,24,8,8,8,8,8,8,
8,1,2,1,2,1,1,1,1,1,4,4,6,2,2,2,6,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,28,24,1,1,1,2,2,10,14,20,28,12,32,24,
32,16,64,1,2,7,5,4,8,4,4,4,6,6,6,10,8,16,8,4,12,4,20,8,4,12,8,8,16,16,8,24,16,
16,8,16,40,8,8,16,8,16,16,48,1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,10,6,6,6,4,4,8,2,2,
2,4,2,6,6,4,8,8,4,4,8,8,8,4,8,4,12,8,8,4,8,16,8,12,4,8,4,8,8,8,16,8,16,16,16,
1,2,1,1,1,2,1,2,1,3,4,4,2,2,4,4,6,2,4,8,2,2,2,4,6,4,6,2,4,2,4,2,4,8,8,4,4,4,8,
4,8,4,4,8,8,4,8,4,4,4,4,4,4,4,1,1,2,1,1,1,2,2,2,2,4,2,2,2,2,2,4,4,2,4,4,4,4,4,
1,1,1,2,2,1],[1,1,2,12,8,32,1,1,1,2,2,10,6,4,12,4,8,16,16,16,32,32,1,2,3,5,4,
4,2,6,6,2,4,4,4,4,12,8,4,4,4,16,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,1,
1,3,1,3,4,4,4,4,2,2,2,2,2,2,4,4,4,8,8,4,4,8,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,2,2,2,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
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],[1,1,2,12,8,1,1,1,2,2,10,
6,4,4,12,4,4,8,8,32,1,2,3,5,4,4,2,6,6,2,4,4,4,4,12,8,4,4,4,8,8,16,8,8,8,8,8,1,
1,1,1,3,1,3,4,4,4,4,2,2,2,2,2,2,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,2,1,
1,1,1,1,2,2,4,2,4,4,4,4,4,4,4,4,4,8,4,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1],[1,1,2,
12,8,32,1,1,1,2,2,10,6,4,12,4,8,16,32,16,16,32,32,1,2,3,5,4,4,2,6,6,2,4,4,4,4,
12,4,4,4,8,8,16,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,1,1,3,1,3,4,4,4,2,2,
4,2,2,2,2,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
1,1,1,1,2,1,1,1,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,12,24,1,1,1,6,6,18,6,12,4,12,12,4,24,
8,2,1,6,6,3,9,12,12,6,6,6,6,12,12,12,12,4,12,12,4,12,12,8,24,8,24,8,24,8,24,8,
24,24,2,3,3,9,3,3,3,3,4,4,6,6,6,18,2,6,6,6,6,6,2,8,8,12,4,12,4,4,12,12,12,4,4,
12,12,12,4,12,4,4,4,8,24,8,8,1,2,6,2,3,3,3,9,3,3,2,6,6,2,6,6,6,6,6,6,12,12,4,
4,4,12,4,4,4,4,4,12,12,12,4,4,4,4,4,1,3,3,1,1,6,2,2,6,6,2,2,2,6,4,4,4,4,1,1,1,
2,2,1],[1,1,2,8,12,8,8,1,1,1,2,2,4,4,10,6,4,4,12,4,4,8,16,32,1,2,3,5,4,4,4,6,
2,6,6,6,2,2,2,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,16,8,8,8,8,8,8,8,
16,1,1,1,1,3,1,3,4,4,4,4,2,2,2,4,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,8,4,4,4,4,8,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,20,40,1,3,3,2,2,10,10,12,20,20,16,40,
32,48,32,96,1,3,3,2,5,5,4,4,4,10,10,10,10,10,6,8,8,20,4,8,12,8,12,20,20,4,12,
20,16,16,16,16,24,24,24,24,24,16,8,16,16,8,24,32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,
4,4,4,2,6,4,10,2,6,6,4,10,10,2,6,6,10,8,8,8,12,12,8,12,12,8,12,8,8,8,12,8,8,8,
20,8,8,4,4,8,8,24,24,24,8,24,8,8,16,16,16,16,1,2,2,5,3,1,1,3,3,1,1,1,1,4,4,4,
2,4,4,6,2,2,4,2,2,6,2,2,4,4,2,2,2,2,4,2,2,8,8,8,4,8,4,4,8,4,4,8,8,4,4,4,4,4,
12,8,4,8,16,1,1,1,1,1,1,1,2,2,2,2,4,2,4,2,2,2,4,2,2,4,4,4,4,4,1,1,2,1,2,1],[1,
1,2,12,8,1,1,1,2,2,10,6,4,12,4,8,16,1,2,3,5,4,4,4,4,2,6,6,2,4,4,4,12,8,4,4,8,
8,8,8,8,8,8,1,1,1,1,3,1,3,4,4,4,4,6,6,4,2,2,2,2,4,4,4,4,4,4,4,4,4,12,4,4,8,8,
8,8,1,1,2,1,1,1,1,1,4,4,2,6,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,
1,1],[1,1,2,12,8,1,1,1,2,2,10,6,4,4,12,4,4,8,8,1,2,3,5,4,4,2,6,6,2,4,4,4,4,12,
4,4,4,8,16,8,8,8,8,8,8,8,1,1,1,1,3,1,3,4,4,4,2,2,4,2,2,2,2,4,8,4,8,4,4,8,4,4,
4,4,4,4,4,4,4,8,8,8,1,1,1,1,2,1,1,1,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,
1,2,2,2,2,2,2,1,1,1,1],[1,1,2,12,16,8,1,1,1,2,2,10,6,8,8,4,12,4,8,48,1,2,3,5,
4,4,4,4,2,6,6,2,8,8,4,4,4,12,12,12,12,4,4,12,8,8,8,8,24,8,8,24,8,8,1,1,1,1,3,
1,3,4,4,4,4,2,6,4,6,2,2,2,8,8,4,4,12,12,4,4,4,4,12,4,4,4,4,4,12,12,8,24,24,8,
8,8,8,8,8,8,1,2,1,1,1,2,1,1,1,4,4,6,2,2,2,6,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,8,8,24,16,1,1,1,4,4,6,2,
4,4,8,2,4,4,4,12,2,24,4,8,16,8,8,8,8,32,16,32,16,32,32,1,1,3,2,2,2,4,2,4,6,4,
6,2,4,2,6,2,4,2,4,4,4,4,4,4,4,2,2,2,2,12,2,4,4,2,4,2,4,4,4,4,4,2,4,4,8,4,4,4,
4,8,4,4,4,4,4,4,8,8,4,8,8,8,8,4,4,8,16,8,4,8,8,8,8,16,8,8,8,8,8,8,8,8,8,16,16,
16,16,16,16,1,1,2,1,2,4,4,2,2,2,1,2,1,2,1,2,2,2,6,4,1,1,2,1,1,2,2,2,1,2,2,2,4,
2,4,4,4,4,4,4,2,2,2,4,4,4,2,2,2,4,2,4,2,4,4,2,2,4,2,4,2,4,4,4,4,2,2,4,2,2,4,4,
2,2,4,2,4,2,2,4,2,2,4,2,2,2,2,4,4,2,2,2,2,4,4,8,4,4,4,8,8,8,8,4,4,4,4,4,4,4,8,
4,4,4,8,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,
8,8,8,8,8,8,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,2,1,1,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,
2,2,4,4,2,4,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,16,1,2,2,4,4,10,
4,4,8,8,16,8,16,32,2,5,4,4,4,6,4,6,4,4,4,8,4,2,12,6,4,2,6,12,4,4,8,8,8,12,4,8,
8,8,8,8,8,8,8,1,1,1,2,2,4,4,2,2,2,2,4,2,6,4,4,2,2,6,2,4,4,4,4,2,8,2,2,4,6,8,4,
8,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,1,2,1,1,2,1,3,2,2,2,2,2,
4,2,4,2,2,2,4,2,2,2,4,4,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,2,1,1,2,1,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,16,24,16,1,1,1,6,2,4,4,8,2,8,4,8,
12,2,24,4,8,16,8,8,8,8,16,32,32,16,1,1,3,2,2,2,4,2,4,6,2,4,2,4,4,4,4,4,4,8,4,
2,2,2,2,2,4,4,2,2,4,4,8,8,4,8,4,2,4,4,8,4,4,4,8,4,4,4,4,4,4,8,4,8,8,8,8,16,4,
4,16,8,4,8,8,8,8,8,16,8,8,16,16,16,16,16,16,1,1,2,1,2,2,2,2,2,1,2,1,2,1,2,4,2,
4,1,1,2,1,1,2,2,1,2,2,2,8,2,4,8,4,4,2,4,4,4,4,2,4,4,4,2,2,2,4,2,4,2,2,2,8,2,4,
4,2,2,2,4,2,4,4,2,4,4,2,4,4,2,2,2,2,4,2,2,2,4,8,4,4,8,8,8,8,4,4,8,4,8,8,8,4,4,
4,8,4,4,8,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,2,1,1,1,1,
1,1,2,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,1,2,2,1,1,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,2,4,2,2,2,4,4,4,2,
2,4,2,2,2,2,2,2,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,1,1,1,1,1,1,1,2,1,2,1,1,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,6,6,4,4,18,4,4,8,
16,32,2,6,6,9,12,4,12,6,6,4,2,12,6,12,2,6,12,4,4,12,4,8,8,8,8,8,8,8,2,3,3,9,4,
4,6,18,6,4,4,2,2,6,2,12,12,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,4,
8,8,8,1,6,1,3,9,1,6,1,3,6,2,2,6,6,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,3,3,
3,3,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,12,8,32,1,3,3,2,2,2,2,2,
2,4,4,12,6,4,6,4,8,8,8,8,16,8,16,16,16,32,16,32,32,32,1,3,3,2,1,1,2,2,2,2,2,1,
2,2,2,2,2,1,1,6,1,4,4,4,6,4,2,2,2,2,2,2,2,2,2,2,4,6,6,4,4,2,6,6,2,4,2,6,2,6,2,
2,4,4,4,8,4,8,4,8,8,8,8,4,4,4,4,4,8,8,4,4,4,4,8,12,8,4,16,16,16,16,8,16,8,8,
16,8,8,8,8,8,16,16,16,16,1,1,1,1,1,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1,1,2,2,1,6,1,
1,1,1,2,1,2,1,2,6,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,4,2,
2,4,2,2,4,6,6,2,2,2,4,2,6,2,4,2,2,2,2,4,2,2,2,4,2,2,2,4,4,8,4,4,4,4,4,4,4,4,4,
8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,
4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,4,8,4,4,8,8,8,8,8,8,2,1,1,1,2,2,1,2,2,1,1,1,
1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,2,4,2,4,2,2,2,4,2,2,2,4,
2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,24,8,8,16,1,6,12,4,4,12,4,24,4,32,16,8,16,16,
32,6,3,8,4,2,6,2,4,16,8,4,4,4,2,2,12,4,2,4,4,4,2,4,8,8,4,4,8,4,24,8,4,4,4,8,8,
8,8,8,8,32,1,2,2,3,3,6,2,6,2,2,4,4,4,2,4,4,4,2,12,2,2,4,2,2,4,2,8,4,4,4,4,4,4,
8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,8,8,8,8,8,1,1,3,6,6,2,2,1,1,1,1,2,2,2,4,
2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,1,1,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,16,40,1,1,1,2,2,10,6,20,8,12,8,20,40,32,
32,16,64,32,1,2,3,5,4,4,4,10,2,4,2,4,10,4,8,8,8,8,4,8,8,12,8,4,4,8,4,4,8,4,8,
8,8,4,8,4,4,8,16,8,8,16,16,8,16,24,8,8,16,8,16,16,24,8,8,8,16,8,16,48,32,1,1,
2,2,2,1,3,1,3,2,2,1,4,4,2,6,4,2,2,4,4,4,4,6,2,6,4,2,4,2,4,4,4,4,8,4,8,4,4,4,4,
4,4,4,4,4,4,4,8,8,4,12,12,4,4,12,4,8,4,4,4,4,4,8,12,8,8,4,8,4,12,8,4,4,8,8,12,
4,8,8,8,8,4,8,8,8,8,4,8,12,12,4,8,4,8,4,8,8,16,16,8,8,1,2,1,2,2,1,2,1,1,1,2,2,
1,2,4,2,2,2,3,2,2,2,1,1,3,2,2,2,2,1,2,2,2,3,4,2,2,4,2,2,2,2,2,4,4,6,2,4,4,4,4,
4,2,2,2,2,2,2,4,4,4,6,6,2,6,4,4,8,6,2,6,6,6,6,4,2,8,6,2,6,2,2,6,4,8,4,4,4,4,4,
4,8,4,1,1,1,1,1,1,1,1,1,1,3,2,3,1,2,1,1,1,2,1,1,1,2,2,1,1,2,2,2,2,1,3,4,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,1,2,8,12,8,40,1,1,1,
2,2,4,4,10,6,20,4,12,4,20,40,32,32,16,32,64,1,2,3,5,4,4,4,6,4,10,2,4,2,6,2,10,
2,8,8,8,8,4,4,4,8,12,4,8,12,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,16,8,8,16,16,16,
16,24,16,8,8,8,16,8,24,8,8,16,16,48,32,1,1,2,2,2,1,3,1,3,2,2,1,4,4,2,4,4,2,6,
2,2,4,4,4,2,6,2,6,6,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,
12,12,4,4,4,4,12,4,8,4,4,8,4,12,4,8,8,4,8,4,4,8,4,8,4,8,16,4,8,4,8,8,4,8,8,8,
4,8,4,4,4,16,8,4,8,4,8,8,16,16,8,8,1,1,1,1,1,2,1,1,1,1,1,2,1,4,2,2,2,2,3,2,2,
2,2,2,2,1,1,3,2,2,1,2,2,4,3,4,2,2,4,2,2,2,2,2,4,6,2,4,8,4,8,4,2,2,2,2,2,2,4,4,
4,4,4,4,4,6,4,6,2,6,4,4,4,8,2,2,6,6,6,2,4,2,8,6,4,2,2,2,2,2,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,4,2,2,1,1,1,1,1,1,2,2,1,2,1,2,2,2,3,1,4,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,20,12,8,16,1,1,1,
2,2,6,10,8,2,6,20,6,4,2,16,8,4,16,24,24,8,8,8,16,16,16,16,1,5,3,4,4,4,2,4,1,2,
6,6,1,1,4,1,8,2,2,6,2,2,2,12,6,6,2,6,2,4,2,2,2,2,6,4,2,2,4,6,2,2,6,2,4,8,12,4,
4,8,4,4,4,4,4,4,4,4,4,8,16,4,4,4,4,4,4,4,4,4,16,8,8,8,8,8,16,8,16,16,16,1,1,3,
1,3,4,2,2,4,4,1,4,2,1,1,6,1,1,6,1,2,1,1,1,1,1,2,1,1,2,1,2,2,2,2,2,6,4,2,2,2,2,
4,2,6,2,4,2,2,6,2,2,2,4,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,2,2,2,12,
2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,4,4,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,
2,6,1,2,2,1,1,1,2,1,2,1,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,6,6,18,4,4,4,4,8,16,32,2,6,6,9,12,12,2,
2,4,4,2,6,2,4,4,4,6,4,12,4,4,8,8,12,4,8,8,8,8,8,8,8,2,3,3,9,18,2,2,4,4,2,4,4,
4,6,4,4,2,2,4,2,2,6,2,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,12,4,4,12,4,8,8,8,6,1,
1,1,9,2,1,2,1,3,2,2,2,2,6,6,4,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,3,3,
2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,24,32,1,3,3,4,4,6,6,24,12,
12,24,16,16,16,32,32,1,1,3,3,4,3,3,3,6,6,6,6,6,12,12,12,12,12,6,6,12,12,12,12,
8,12,8,8,8,8,8,4,12,24,8,4,12,8,12,24,16,16,16,16,24,16,8,16,24,1,1,3,3,3,3,3,
3,3,9,3,6,3,6,6,12,3,6,6,6,12,6,4,4,4,4,4,4,6,4,6,6,4,4,6,6,12,2,6,6,4,6,12,2,
12,4,4,8,8,8,12,8,8,4,4,8,8,12,4,8,4,8,8,8,12,8,4,8,8,8,8,8,8,8,8,8,8,8,8,3,1,
1,4,3,3,3,2,3,3,3,2,3,3,3,2,6,6,3,2,3,6,2,9,6,6,6,6,6,6,4,4,12,4,4,2,4,4,4,4,
6,4,2,2,2,6,6,2,2,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,1,3,1,1,2,3,3,2,
3,1,3,3,1,2,2,6,2,2,2,2,4,2,2,2,6,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,4,12,8,12,24,1,1,1,2,2,2,2,2,6,4,4,4,6,12,6,12,16,24,16,8,24,24,8,
16,32,16,1,2,3,1,2,2,4,2,2,2,1,4,6,2,4,2,1,1,2,1,4,4,8,2,4,2,8,6,2,8,2,4,2,2,
6,6,2,6,4,4,2,2,4,2,6,4,2,2,4,6,2,2,2,6,2,4,4,12,8,8,4,8,4,8,4,8,8,4,4,8,4,4,
4,4,4,4,4,8,4,8,16,16,16,16,16,16,1,1,1,2,1,1,2,2,2,2,1,4,1,1,1,1,1,1,2,1,2,2,
1,1,2,1,1,2,2,1,1,2,2,4,2,2,4,2,6,2,2,2,2,2,2,4,4,4,2,6,4,2,4,4,6,2,2,2,2,4,2,
2,4,4,2,4,2,2,2,4,4,2,2,2,2,2,4,2,2,6,2,2,2,2,2,2,2,4,2,2,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,
4,4,8,1,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,
4,4,4,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,4,12,16,12,24,16,1,3,3,2,2,6,6,8,8,2,6,12,6,12,2,24,4,48,8,8,8,8,8,16,16,
96,16,16,32,32,1,3,3,3,3,4,4,4,4,2,4,1,6,6,6,6,6,1,1,1,8,8,12,6,2,2,2,12,12,2,
2,12,12,2,2,2,2,2,12,6,2,6,12,2,6,6,2,12,2,6,12,6,2,2,4,4,4,4,4,24,4,4,4,4,24,
4,4,24,24,4,4,4,4,4,24,4,4,4,4,12,4,24,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,
16,1,1,3,3,3,4,4,4,4,4,4,4,2,4,2,1,1,1,6,1,1,6,6,1,6,1,6,1,6,1,1,1,6,1,6,6,1,
1,6,8,8,8,8,2,2,2,12,2,2,2,6,2,2,2,2,2,2,12,12,2,2,2,12,12,2,2,12,2,2,2,2,2,2,
2,2,2,12,2,2,2,2,6,2,6,2,2,2,12,2,2,2,2,2,12,2,6,2,2,2,2,2,2,12,2,2,2,12,2,2,
12,2,12,2,2,2,4,4,4,4,4,4,4,4,24,4,24,4,4,4,24,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,2,2,3,3,2,4,4,4,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,6,1,6,1,1,6,1,1,1,6,1,1,1,6,6,1,1,1,1,1,1,1,6,
1,1,1,1,1,1,8,8,2,2,2,2,2,12,2,2,2,2,2,2,12,2,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,6,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
1],[1,1,2,8,12,8,24,24,16,1,3,3,4,4,6,6,4,4,2,12,12,12,12,2,16,24,4,32,48,8,
48,48,8,8,8,8,96,16,96,16,32,32,1,3,3,3,3,2,2,4,2,4,2,4,6,6,6,6,6,6,6,6,6,4,4,
8,8,12,12,12,12,12,2,2,2,2,12,2,12,12,12,2,12,12,2,12,12,12,12,12,12,12,12,12,
12,2,12,12,16,24,4,24,4,4,4,24,4,4,4,4,4,4,4,24,24,24,24,24,4,4,24,24,24,4,24,
24,32,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,64,16,16,96,16,16,16,16,16,16,1,1,1,
2,3,3,3,3,2,2,4,4,4,4,2,2,2,4,2,4,6,6,1,6,6,1,1,6,6,6,1,1,6,6,1,1,6,6,6,1,6,8,
8,2,2,12,2,12,12,12,12,12,12,12,2,12,12,12,2,2,12,2,12,12,12,2,12,2,2,12,2,2,
2,12,12,2,2,12,2,12,12,12,2,12,12,2,2,12,12,12,2,12,12,2,12,2,2,2,2,12,12,12,
2,12,12,2,12,12,12,2,2,12,2,2,2,2,12,2,2,2,2,2,4,4,24,4,4,4,4,24,24,24,4,4,24,
24,24,4,4,24,24,24,4,4,4,4,4,24,4,4,4,4,24,24,4,24,24,4,4,24,24,4,24,24,24,24,
4,24,24,4,4,4,4,4,24,24,4,4,4,24,24,24,4,4,4,4,4,4,4,24,4,4,4,4,4,4,24,24,4,4,
4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,
1,3,3,3,3,4,2,4,4,1,1,6,1,6,1,6,1,1,1,1,1,6,1,1,6,1,6,1,6,1,1,1,1,1,1,6,6,1,1,
1,1,1,1,1,1,1,1,1,1,1,8,2,2,12,2,2,2,12,2,2,2,2,2,12,2,12,2,12,2,2,2,2,12,12,
2,2,12,2,2,2,12,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,
12,2,2,2,2,2,12,2,2,2,2,12,12,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,12,2,2,12,2,12,2,
2,2,2,12,2,12,2,2,2,2,2,2,4,24,24,4,4,4,4,4,4,24,4,4,24,4,24,24,4,4,4,4,4,4,4,
4,4,4,4,4,4,24,24,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,4,4,4,
4,4,4,24,4,4,4,4,4,4,4,4,24,4,4,4,1,3,3,4,4,1,1,1,1,1,6,1,1,1,1,1,1,1,1,6,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,12,2,2,2,2,2,12,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
1],[1,1,2,4,4,8,12,8,1,3,3,2,2,2,2,2,2,4,4,12,4,6,4,6,4,4,8,8,8,8,8,8,16,16,1,
3,3,2,1,1,2,2,2,2,2,1,2,2,2,2,2,1,1,6,1,4,4,4,6,4,2,2,4,2,2,4,2,2,2,2,2,2,4,4,
6,4,6,4,4,2,6,6,2,4,2,6,2,6,2,2,4,4,4,4,8,4,4,8,4,4,4,4,8,4,4,4,4,12,8,4,8,8,
8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1,6,1,1,2,1,1,2,2,1,2,1,2,
2,6,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,4,2,2,2,
2,2,4,4,2,6,2,2,2,4,2,2,2,2,4,2,2,4,2,4,2,4,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,1,2,2,1,2,1,1,2,1,1,2,1,
1,1,1,1,1,1,1,2,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,2,1,1,2,2,
2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,16,1,2,2,10,4,4,8,4,4,8,
16,8,16,32,2,5,4,4,4,2,4,2,4,4,4,8,4,2,6,8,2,4,4,4,6,4,12,4,4,8,8,8,12,4,8,8,
8,8,8,8,8,8,1,1,1,2,2,2,2,2,4,4,2,2,2,4,4,2,4,4,4,6,4,4,2,8,2,4,2,4,2,6,2,8,8,
4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,2,2,1,1,2,1,2,1,3,2,2,2,
2,2,2,2,2,2,4,2,2,2,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,2,1,1,1,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,8,24,16,1,3,3,6,6,4,4,2,12,12,2,16,
24,4,32,48,8,8,8,8,8,16,16,1,3,3,3,3,2,2,4,2,4,2,6,6,6,6,6,4,4,8,8,12,12,2,2,
2,2,2,4,2,12,2,12,12,12,2,4,16,4,4,4,4,24,4,4,4,4,4,4,8,4,24,4,4,4,8,8,8,8,8,
8,16,16,16,16,1,1,1,2,3,3,3,3,2,2,2,2,2,2,2,1,1,1,6,1,1,2,6,1,1,6,6,1,6,2,2,2,
12,2,4,2,12,2,2,2,2,12,2,2,2,4,2,2,2,12,4,2,2,2,2,2,4,2,12,4,2,2,2,2,2,2,2,2,
2,4,8,4,4,8,4,4,4,24,8,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,8,4,4,4,4,4,4,8,8,8,
8,3,1,3,3,1,2,4,1,2,1,6,2,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,
2,2,2,2,2,12,4,2,2,2,2,2,2,2,2,2,2,4,8,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,24,8,16,1,4,4,6,12,4,4,
12,24,32,16,8,16,16,32,6,3,8,4,4,6,6,6,4,16,8,4,4,2,12,2,12,2,2,12,4,8,8,4,4,
4,24,4,4,4,8,8,8,8,8,8,32,1,2,2,3,3,4,4,6,6,6,6,2,2,12,2,2,12,2,12,2,2,4,2,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,1,3,3,6,6,6,1,1,1,6,
1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,3,3,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,20,40,32,1,1,1,4,4,6,10,16,4,20,20,4,16,40,
8,32,48,16,16,16,32,96,32,1,1,4,3,5,3,4,4,10,2,4,2,8,4,8,4,8,4,12,14,8,4,14,8,
8,4,4,12,12,8,16,28,8,16,8,8,8,8,8,24,8,24,16,24,4,20,24,8,4,20,8,28,24,24,16,
16,16,16,40,16,16,16,8,16,16,40,16,32,32,32,32,32,32,1,1,2,1,1,3,2,2,1,2,3,1,
7,5,5,2,6,3,2,4,4,4,5,4,2,6,4,2,2,4,4,4,4,4,4,4,10,4,6,10,4,4,10,6,4,2,6,14,4,
10,4,12,2,4,4,8,4,4,8,8,8,16,8,8,8,20,8,8,8,8,4,4,8,8,12,4,8,16,4,8,8,8,16,12,
4,16,8,8,16,16,16,8,8,16,8,8,8,8,8,8,32,8,8,32,16,32,16,16,16,16,16,32,8,1,1,
1,1,2,1,1,2,2,4,1,3,5,1,1,2,4,1,2,4,2,2,2,3,2,2,3,2,2,2,2,2,1,4,4,4,2,2,6,6,4,
6,4,2,4,4,4,4,4,8,4,4,4,4,2,2,2,4,2,4,4,4,2,2,4,8,2,2,4,2,4,2,2,2,2,6,6,2,8,8,
8,4,4,4,4,8,12,8,4,4,4,4,4,8,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,8,16,16,1,1,
1,1,1,2,1,2,1,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,20,16,12,8,16,1,1,1,2,
2,6,10,8,8,8,2,6,20,6,4,2,16,8,4,16,48,24,24,8,16,8,8,16,16,16,16,32,32,1,5,3,
4,4,4,2,4,1,2,6,6,1,1,4,1,8,8,8,2,2,6,2,12,12,2,2,12,12,6,6,2,6,2,4,2,2,2,2,6,
4,2,2,4,6,2,12,2,6,2,4,12,4,8,4,8,4,24,4,4,4,4,4,4,4,4,8,16,4,4,4,24,4,4,4,4,
4,4,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,16,16,16,16,16,16,32,16,32,1,1,
3,1,3,2,2,4,4,4,1,4,2,1,1,1,1,1,2,1,1,6,1,1,1,2,1,6,1,2,1,2,8,8,2,2,2,4,2,6,2,
2,2,2,2,12,4,2,12,6,2,2,2,6,2,2,2,4,4,2,2,2,4,2,2,4,12,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,6,2,2,2,2,2,12,2,2,12,4,2,2,2,4,4,4,4,4,24,4,8,4,4,4,24,4,4,4,4,4,
8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,
2,1,1,4,4,2,1,1,1,1,2,1,1,2,1,1,2,1,6,1,1,1,2,6,1,1,1,1,1,1,1,2,1,8,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,
1,1,1,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,16,16,1,6,4,4,4,12,4,8,4,8,16,32,16,8,
16,16,32,2,3,4,4,2,6,2,4,8,4,4,4,2,2,4,4,2,4,4,8,4,2,8,4,8,8,4,4,8,16,4,8,4,4,
8,4,8,8,8,8,8,16,8,32,1,2,1,1,2,2,2,2,2,2,2,4,2,4,4,4,2,4,4,4,4,2,4,4,2,2,4,2,
2,4,4,2,4,4,4,8,4,8,8,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,2,1,
2,2,1,1,1,1,2,2,2,2,2,2,4,2,2,2,4,2,2,4,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,12,24,16,1,
3,3,2,2,6,6,2,6,12,6,12,2,24,4,8,8,8,16,8,8,16,16,96,16,16,1,3,3,3,3,2,4,1,6,
6,6,6,6,1,1,1,12,6,2,2,2,2,2,12,2,2,2,2,2,12,6,2,6,12,2,6,6,2,12,2,6,6,2,2,4,
8,4,4,8,4,4,4,4,4,4,24,4,4,24,24,4,4,4,4,4,4,4,4,4,12,4,24,8,8,8,8,16,16,16,
16,16,16,1,1,3,3,3,4,4,2,2,1,1,1,1,1,6,1,6,1,6,1,1,1,1,6,1,6,1,1,6,8,8,2,2,2,
4,12,2,2,2,6,4,2,2,2,2,2,2,2,2,12,2,4,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,6,2,6,2,2,
2,2,2,2,12,2,6,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,24,4,4,24,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,1,2,3,3,2,4,4,1,1,1,1,1,1,1,2,1,1,1,6,1,1,1,1,2,1,1,2,1,2,1,1,1,
8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,20,40,1,1,1,
4,4,6,10,16,20,20,16,40,32,48,96,1,1,4,3,5,3,4,4,10,2,4,2,8,4,8,4,8,4,12,14,8,
14,4,8,4,8,4,12,12,8,16,8,28,16,24,24,16,24,4,20,24,4,20,28,24,24,40,8,40,1,1,
2,1,1,3,2,2,1,2,3,1,7,5,5,2,6,3,4,4,4,5,2,4,2,2,6,4,2,4,4,4,4,4,4,4,4,10,4,4,
6,10,4,10,6,2,6,14,10,12,2,8,8,8,16,8,8,20,8,4,4,12,4,16,4,8,16,12,4,16,32,32,
32,32,1,1,1,1,2,1,1,2,4,1,3,5,2,1,2,1,2,4,1,4,2,2,2,3,2,2,3,2,2,2,2,2,1,4,4,4,
2,2,6,6,4,6,2,4,4,4,8,4,4,4,4,2,4,2,4,2,4,4,2,2,4,8,2,2,4,2,2,2,6,6,8,4,4,12,
4,4,1,1,1,1,1,2,1,2,2,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,8,8,16,16,1,4,4,6,4,4,4,12,8,8,16,32,16,8,16,16,32,2,3,4,
4,6,4,6,6,4,8,4,4,2,12,2,4,2,8,2,4,4,8,8,4,4,8,8,16,4,4,4,8,4,8,8,8,8,16,8,8,
32,1,2,1,1,2,4,4,2,2,2,6,2,2,2,2,4,2,4,2,4,4,4,2,4,4,2,2,4,2,4,4,4,4,8,4,4,8,
8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,2,2,2,1,1,1,2,1,2,2,2,
2,2,4,4,2,4,2,2,4,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,8,12,24,32,1,1,1,2,2,2,2,2,6,4,
4,4,4,6,12,6,12,4,16,24,8,16,8,24,24,16,8,16,16,16,32,32,16,32,32,32,1,2,3,1,
2,2,4,2,2,2,1,4,6,2,4,2,1,1,2,1,4,4,8,2,4,2,8,6,4,2,8,2,2,2,6,6,2,6,4,2,4,2,4,
2,6,4,2,2,4,6,2,2,2,6,2,4,4,12,8,4,8,8,8,4,8,8,8,8,8,4,8,8,8,4,4,8,4,4,8,4,4,
4,4,8,4,8,4,8,16,16,16,8,16,16,8,8,16,8,16,8,16,8,16,8,16,16,8,8,16,8,8,8,16,
16,32,32,16,16,16,32,16,16,32,32,16,32,1,1,1,2,1,1,2,2,2,2,1,4,1,1,1,1,1,1,2,
2,1,2,2,1,1,1,1,2,1,1,2,2,2,4,2,2,4,2,6,2,2,2,2,2,4,4,4,2,6,2,4,4,6,2,2,2,2,4,
2,4,2,4,2,4,2,4,2,4,2,4,2,2,4,2,6,2,4,4,2,2,2,4,4,2,4,2,4,4,8,4,8,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,8,4,8,8,
16,16,16,8,16,8,8,8,16,16,16,16,8,16,16,8,16,16,16,16,1,1,1,2,1,2,2,1,2,2,1,1,
1,2,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,4,4,2,4,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,4,8,8,4,4,4,4,4,8,4,8,4,4,
4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,16,16,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,
24,1,3,3,4,4,6,6,24,4,12,12,4,24,8,1,1,3,3,4,3,3,3,6,6,6,6,6,12,12,12,12,12,6,
4,6,4,4,12,4,12,12,12,12,8,8,4,12,24,4,12,12,24,24,8,24,1,1,3,3,3,3,3,3,3,9,3,
6,3,2,6,6,12,3,2,6,2,6,6,2,12,6,4,4,4,6,6,6,4,6,6,4,12,2,6,6,6,4,12,2,4,4,12,
8,8,8,12,4,4,12,4,4,12,4,3,1,1,4,3,3,3,2,2,3,3,3,3,2,3,3,2,6,6,3,2,2,3,2,6,2,
9,2,6,6,6,6,6,6,4,12,2,2,6,2,2,2,6,6,2,2,2,2,6,6,6,2,4,4,4,4,1,3,1,1,3,3,3,2,
1,3,3,2,1,6,2,2,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,1,8,4,1,3,3,6,6,
1,8,2,8,8,4,8,8,12,1,3,3,3,3,3,3,6,6,4,1,8,3,3,4,4,4,6,6,1,3,3,3,3,3,3,4,8,8,
2,1,1,3,3,3,3,3,3,4,6,6,3,4,4,4,2,1,1,1,1,3,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,6,
36,1,8,4,3,3,6,9,18,1,8,2,4,12,24,24,24,24,1,3,3,9,9,9,9,18,18,4,1,3,3,4,6,6,
12,12,24,3,3,9,9,9,9,9,4,8,8,2,1,1,3,3,3,3,3,3,6,6,12,9,4,4,4,1,1,3,3,3,3,3,3,
3,3,6,1,4,3,3,1,1,1,1],[1,1,2,6,18,1,8,4,1,3,3,3,3,9,9,1,8,2,2,8,8,4,6,8,24,1,
3,3,3,9,9,9,9,9,9,9,18,4,1,1,1,8,3,3,3,3,4,12,12,1,3,3,9,9,9,9,4,8,8,2,1,1,1,
3,3,3,3,3,3,3,3,3,6,12,3,4,4,4,2,1,1,1,1,3,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,12,
18,36,1,8,4,3,3,6,9,18,72,1,8,4,6,8,12,12,24,24,24,1,3,3,9,9,9,9,18,18,4,1,3,
3,4,6,6,12,12,24,24,3,3,9,9,9,9,9,4,8,8,2,1,1,3,3,3,3,3,3,6,6,12,9,4,4,4,1,1,
3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,6,12,36,1,8,4,3,3,6,9,18,72,1,8,2,4,8,
12,12,12,12,24,24,24,1,3,3,9,9,9,9,18,18,4,1,3,3,4,6,6,12,12,24,24,24,24,3,3,
9,9,9,9,9,4,4,4,8,8,2,1,1,3,3,3,3,3,3,6,6,12,9,4,4,4,8,8,1,1,3,3,3,3,3,3,3,3,
6,1,4,3,3,1,1,1,1],[1,1,18,36,1,8,4,3,3,6,9,18,1,8,4,6,12,12,12,24,24,1,3,3,9,
9,9,9,18,18,4,1,3,3,4,6,6,12,12,24,3,3,9,9,9,9,9,4,4,4,2,1,1,3,3,3,3,3,3,6,6,
12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,2,72,1,8,4,1,3,3,36,72,
1,8,2,8,8,4,8,12,12,12,12,48,24,48,1,3,3,18,18,18,18,4,1,8,3,3,4,6,6,12,24,12,
24,48,24,24,48,24,1,9,9,18,18,4,4,4,8,8,2,1,1,3,3,3,3,3,3,6,6,24,12,9,4,4,4,8,
8,2,1,1,3,3,3,3,3,3,3,3,12,1,4,3,6,3,1,1,1,1],[1,1,2,72,4,5,4,1,3,3,36,72,4,5,
8,5,5,4,8,24,12,12,24,36,24,36,1,3,3,18,18,18,18,4,4,5,4,12,3,12,3,12,18,12,
18,36,24,48,36,24,1,9,9,18,18,4,4,4,8,8,1,1,1,1,3,3,3,12,3,3,3,6,18,12,9,4,4,
4,8,8,1,1,1,1,6,3,3,3,3,3,3,6,3,3,1,4,3,3,3,3,1,1,1,1],[1,1,2,24,16,1,6,6,12,
12,18,16,32,32,2,6,6,9,12,12,12,18,18,36,36,16,16,16,2,3,3,9,12,12,18,18,18,
36,36,8,12,16,3,6,9,9,18,18,8,12,12,12,1,9,9,12,3,1,1],[1,1,2,24,16,1,6,6,18,
12,12,16,32,32,2,6,6,9,12,12,6,6,12,12,12,12,12,24,24,16,16,16,2,3,3,9,18,6,6,
12,12,12,12,12,12,24,24,8,12,16,6,3,3,9,6,6,6,12,12,8,12,4,4,8,8,1,3,3,6,6,4,
8,3,1,1],[1,1,2,12,24,16,1,1,1,6,6,18,6,12,12,12,24,16,32,2,1,6,6,3,9,12,12,6,
6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,16,16,16,2,3,3,9,3,3,3,3,4,4,
6,6,6,18,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,24,8,12,16,1,2,6,2,3,3,3,9,
3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,8,4,12,4,8,8,1,3,3,6,6,6,6,4,8,8,1,1,
1],[1,1,2,24,16,1,6,6,18,12,12,16,32,32,2,6,6,9,12,12,12,18,18,36,36,16,16,16,
2,3,3,9,18,12,12,18,18,36,36,8,12,16,6,3,9,9,18,18,8,12,12,12,1,9,9,12,3,1,
1],[1,1,2,12,24,16,1,3,3,4,4,6,6,24,12,12,24,16,16,16,1,1,3,3,4,3,3,3,6,6,6,6,
6,12,12,12,12,12,6,6,12,12,12,12,12,12,24,12,12,24,24,24,16,16,16,1,1,3,3,3,3,
3,3,3,9,3,6,3,6,6,12,3,6,6,6,12,6,4,4,6,6,6,6,6,12,6,6,6,12,12,8,8,12,12,12,4,
4,12,16,3,1,1,4,3,3,3,2,3,3,3,3,3,3,6,6,3,3,6,9,6,6,6,6,6,6,12,6,6,6,6,6,6,4,
4,4,12,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,2,48,16,1,6,6,18,24,48,16,
32,32,32,2,6,6,9,12,12,6,6,12,12,12,24,24,24,16,16,16,64,2,3,3,9,18,6,6,12,12,
12,12,12,12,24,24,8,12,16,6,9,3,3,6,6,6,12,12,8,12,4,4,16,1,3,3,6,6,4,8,3,1,
1],[1,1,2,8,16,1,6,6,18,4,4,16,32,32,2,6,6,9,12,12,4,6,6,12,12,16,16,16,2,3,3,
9,18,4,4,6,6,12,12,8,12,16,6,1,9,3,6,6,8,12,4,4,1,3,3,4,1,1,1],[1,1,2,6,18,12,
24,16,3,1,3,3,3,12,3,9,6,4,12,8,12,24,12,12,12,12,12,24,48,16,32,32,1,6,1,6,1,
3,3,3,3,2,3,3,6,6,3,6,6,3,6,6,3,6,6,3,9,3,6,9,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,8,12,12,12,12,16,24,24,24,24,24,4,16,8,16,16,1,1,6,1,3,3,3,3,3,3,3,3,2,3,6,
3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,3,3,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,4,4,4,8,8,8,16,16,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,
1,1],[1,1,6,12,12,12,24,4,2,1,6,3,3,6,2,12,6,6,12,24,12,24,24,48,4,8,16,1,1,1,
3,3,1,3,3,3,3,6,12,6,6,3,6,6,3,6,6,6,6,6,6,3,12,6,6,6,6,6,6,12,6,6,12,6,12,12,
12,12,24,24,4,8,4,8,4,8,8,1,1,3,3,3,3,3,3,3,3,2,2,3,6,3,3,3,6,6,3,3,6,3,3,6,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,1,4,4,4,4,4,4,8,4,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,6,
12,24,16,3,3,1,3,3,12,6,9,3,6,6,4,8,12,12,12,12,12,12,24,16,16,16,1,6,1,6,1,3,
3,3,3,2,6,3,3,6,6,3,6,6,3,6,6,9,6,3,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,4,16,8,16,16,1,1,6,3,1,3,3,3,3,3,3,3,2,3,3,3,3,
3,3,3,3,3,3,3,3,6,6,6,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,4,4,4,4,4,8,16,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,
1,2,12,12,12,4,1,1,1,6,6,6,6,6,6,12,6,6,12,24,4,8,8,8,1,3,3,4,4,6,4,3,6,6,3,3,
3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,12,12,4,4,4,4,4,4,4,1,3,3,4,4,4,3,3,6,3,
6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,12,12,1,4,4,4,
4,4,4,4,4,4,4,4,1,4,4,3,3,3,3,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,1,1,1,1,1,1,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,4,
3,1,1,1,1,1,1,1,1],[1,1,6,6,24,6,12,24,16,3,3,1,3,3,12,9,3,6,4,12,8,12,24,12,
12,12,12,12,24,48,48,16,32,32,1,6,1,1,6,3,3,3,3,2,6,3,3,6,6,3,6,3,6,6,9,6,3,3,
3,3,6,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,24,24,4,16,
8,16,16,1,1,6,3,1,3,3,3,3,3,3,3,2,3,6,6,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,6,6,6,
6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,4,4,4,8,8,8,16,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,2,6,24,18,12,24,16,3,1,3,3,3,12,6,
3,9,6,6,4,8,12,24,24,12,12,12,12,12,24,48,48,48,16,32,16,16,32,1,6,1,1,6,3,3,
3,3,2,3,3,6,6,3,6,3,6,6,3,6,6,3,9,3,6,9,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,8,
24,12,12,12,24,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,4,16,8,16,16,32,
32,1,1,6,1,3,3,3,3,3,3,3,3,2,3,6,6,3,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,3,6,6,6,12,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,
6,6,6,6,24,24,24,24,4,4,4,4,4,8,8,8,16,16,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,
4,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,2,24,24,16,1,6,
12,12,12,12,24,32,48,48,16,32,32,6,3,8,4,6,12,16,8,12,12,6,12,6,12,24,24,24,
12,96,8,16,16,16,1,2,2,3,3,6,6,6,12,12,6,12,12,12,24,12,24,12,4,8,16,16,16,8,
3,6,6,3,3,12,6,6,6,12,8,4,4,8,8,4,8,1,3,3,6,6,8,4,3,1,1],[1,1,2,24,48,16,1,6,
12,12,24,32,24,48,16,32,16,16,32,6,3,8,4,6,16,8,6,12,6,12,12,12,24,12,12,24,
24,8,16,16,16,32,32,1,2,2,3,3,6,6,6,12,6,12,12,12,12,12,12,24,24,24,24,4,8,16,
8,16,3,6,6,3,3,6,6,6,12,12,8,4,4,4,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,2,8,24,16,
1,4,4,6,12,12,24,32,16,32,32,6,3,8,4,4,6,6,6,16,8,12,12,12,24,8,16,16,16,1,2,
2,3,3,4,4,6,6,6,6,12,12,12,4,8,16,8,16,1,3,3,6,6,6,6,8,4,4,4,8,1,3,3,4,1,1,
1],[1,1,12,6,4,12,24,4,3,6,3,3,2,6,6,18,6,6,12,24,24,48,4,8,16,16,1,3,1,3,1,1,
3,3,3,3,6,6,6,6,3,6,3,6,6,18,6,18,6,3,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,24,
24,4,12,12,8,8,32,3,1,1,6,3,3,3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,6,6,3,3,6,6,6,3,
6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,12,1,4,4,
4,4,4,12,12,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,12,6,12,24,12,24,
4,2,1,6,3,3,6,2,6,6,12,6,6,24,24,12,48,24,24,48,4,8,16,16,1,1,1,3,3,1,3,3,3,3,
6,6,6,6,3,3,12,6,6,6,6,6,6,6,3,6,6,6,6,6,6,12,12,6,6,12,6,24,12,24,12,12,12,
24,24,4,8,4,4,8,8,8,1,1,3,3,3,3,3,3,3,3,2,2,3,6,3,6,3,3,3,3,3,6,6,3,3,3,3,3,6,
3,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,12,1,4,
4,4,4,4,4,8,4,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,48,16,1,3,3,
3,3,18,24,48,16,16,16,32,32,1,1,3,3,3,3,9,12,12,12,12,6,12,6,12,12,12,12,12,
12,16,16,16,32,32,1,1,3,3,9,9,9,6,6,12,6,6,6,12,6,12,12,12,12,12,12,4,4,12,16,
3,3,9,3,6,3,3,3,6,6,6,6,6,4,4,12,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,12,6,
4,24,12,24,4,2,1,6,3,3,2,6,6,12,6,12,24,12,48,24,24,48,4,8,16,16,16,1,3,3,1,1,
1,3,3,3,3,6,6,6,3,3,6,12,6,6,6,6,6,6,6,3,6,6,6,6,6,6,12,12,6,6,12,6,12,12,12,
12,24,24,4,8,4,4,8,8,8,32,3,1,1,3,3,3,3,3,3,3,2,2,3,6,3,3,3,3,3,6,3,6,6,3,3,3,
3,3,6,6,6,3,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,
12,1,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,
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],[1,1,6,4,
12,12,24,4,2,1,6,3,3,2,6,6,12,6,6,6,12,24,24,48,4,8,16,16,1,3,3,1,1,1,3,3,3,3,
6,12,6,6,6,6,6,3,6,6,3,6,6,6,3,12,6,6,6,6,6,6,12,6,6,12,6,12,12,12,12,24,24,4,
8,4,8,4,8,8,32,3,1,1,3,3,3,3,3,3,3,2,2,3,6,3,3,3,6,6,3,3,6,3,3,6,3,3,3,6,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,1,4,4,4,
4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,
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],[1,1,2,12,12,16,12,48,
4,1,1,1,6,6,6,6,8,8,6,12,6,48,24,24,24,24,48,48,96,96,4,8,8,8,16,16,16,1,3,3,
4,4,6,4,3,6,6,3,3,3,8,8,6,6,12,12,6,6,12,12,6,6,6,6,6,6,6,6,12,6,6,6,12,24,12,
12,12,12,12,24,12,24,24,24,24,24,24,24,24,24,24,48,48,4,4,4,4,4,4,4,8,8,8,8,
32,32,32,1,3,3,4,4,4,3,3,3,3,3,6,3,3,3,3,6,3,8,8,6,6,6,6,6,6,12,6,12,6,6,6,6,
6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,6,6,6,12,12,12,24,12,12,24,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,1,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,2,4,4,3,3,3,3,3,6,3,3,6,
3,3,3,3,3,8,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,1,1,1,1,2,2,2,
2,4,4,4,4,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,16,24,4,1,
1,1,6,6,8,8,6,12,12,12,6,12,48,24,4,8,16,16,1,3,3,4,4,4,6,6,8,8,6,6,12,12,12,
12,6,6,6,6,12,6,6,12,12,12,12,24,12,12,12,24,12,24,24,4,4,4,8,8,8,8,1,3,3,4,4,
4,3,3,3,6,6,3,8,8,6,6,6,6,12,12,6,6,6,6,6,12,6,6,6,6,12,6,12,12,24,24,12,12,
12,12,12,12,12,12,12,12,12,1,4,4,4,8,4,4,4,4,8,8,8,1,2,4,4,3,3,3,3,6,3,6,3,3,
3,8,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,
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],[1,1,2,12,12,36,24,
4,1,3,3,6,6,6,6,18,12,18,12,24,24,24,48,96,48,4,8,8,24,1,3,3,3,3,6,4,3,6,6,6,
6,6,3,3,3,12,18,6,6,6,12,6,6,6,6,12,18,18,12,6,18,18,6,12,6,18,18,6,6,12,12,
24,12,24,24,12,12,12,12,12,12,12,36,12,24,4,4,4,12,12,12,12,1,1,3,3,3,4,4,6,6,
3,3,3,3,3,6,6,3,6,3,3,3,6,6,3,6,8,8,6,12,6,6,6,18,6,6,6,6,6,6,6,6,12,6,6,6,6,
6,6,6,6,18,6,18,6,6,6,6,12,6,18,6,6,6,6,6,6,6,12,12,12,12,12,24,12,12,24,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,4,4,
12,12,12,12,12,12,12,12,12,24,1,2,3,3,6,4,4,3,3,3,3,3,3,6,3,3,3,3,3,3,8,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,1,1,1,1,4,4,4,2,2,2,2,12,12,12,
12,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,1,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,
2,2,2,2,2,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,12,24,24,16,1,3,3,4,4,6,6,12,12,
12,12,16,24,32,48,48,48,96,96,16,32,32,1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,8,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,
24,24,24,24,24,24,24,24,24,24,24,32,64,96,4,16,8,16,16,1,1,1,2,3,3,3,3,4,4,4,
4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,4,4,4,8,8,8,16,16,16,1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,
24,24,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,4,4,6,6,12,12,12,1,4,
4,4,8,1,1,1,1,1],[1,1,2,12,16,24,4,1,3,3,6,6,8,8,12,12,24,48,96,4,8,16,1,3,3,
3,3,4,4,4,4,4,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,4,12,
12,8,8,1,1,3,3,3,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,8,8,8,8,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,1,4,4,4,4,12,12,4,8,8,1,2,2,3,3,4,4,4,4,4,
4,4,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,1,
1,4,4,4,4,6,6,1,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1],[1,1,2,12,24,48,4,1,
3,3,6,6,6,12,12,6,24,12,24,24,24,48,96,48,4,8,16,16,1,3,3,3,3,4,6,6,6,6,6,12,
6,6,12,6,12,6,12,12,12,12,12,12,12,12,12,24,12,24,24,12,12,24,24,24,48,48,48,
48,4,12,12,8,8,32,1,1,3,3,3,4,4,6,3,6,6,3,6,3,6,3,6,8,8,6,6,12,12,6,6,6,6,6,6,
6,6,12,6,6,6,6,12,24,24,12,12,12,12,12,12,12,24,24,24,24,24,24,1,4,4,4,4,12,4,
12,8,8,1,2,3,3,4,4,3,3,3,3,6,3,3,3,3,8,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,
3,1,1,1,1,1,1,1,1],[1,1,6,12,36,12,24,4,3,6,3,3,6,2,6,18,6,6,24,24,12,24,24,
48,48,4,24,16,1,1,3,1,3,1,3,3,3,3,6,6,3,6,3,6,6,6,6,18,6,18,6,3,6,6,6,6,6,6,6,
6,12,12,6,24,24,12,12,12,12,24,24,4,12,12,8,8,1,3,1,6,3,3,3,3,3,3,3,2,2,3,3,6,
3,6,3,3,3,6,3,6,3,3,3,3,3,6,6,3,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,6,6,12,12,1,4,4,12,4,4,12,4,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,
4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,
1,1,1],[1,1,12,6,12,12,24,4,3,6,3,3,6,2,18,6,12,24,12,24,24,48,4,8,16,1,1,3,1,
3,1,3,3,3,3,6,6,6,3,6,3,6,6,18,6,6,18,6,3,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,
24,24,4,12,12,8,8,1,3,1,6,3,3,3,3,3,3,3,2,2,3,3,6,6,3,3,3,3,3,3,3,6,3,3,6,3,6,
6,3,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,
4,12,12,4,4,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,4,36,12,24,4,3,
6,3,3,2,6,18,6,12,24,12,24,24,48,48,4,24,16,16,1,3,1,3,1,1,3,3,3,3,6,6,6,3,6,
3,6,6,6,6,18,6,18,3,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,24,24,4,12,12,8,8,32,
3,1,1,6,3,3,3,3,3,3,3,2,2,3,3,6,3,3,3,3,3,6,3,3,6,3,6,3,3,6,3,6,12,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,12,1,4,4,12,4,4,12,4,8,8,
1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,
1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,6,6,4,4,18,16,32,32,2,6,
6,9,12,4,12,6,6,12,12,16,16,16,2,3,3,9,4,4,6,18,6,12,12,8,12,16,1,6,3,9,6,6,8,
4,12,4,1,3,3,4,1,1,1],[1,1,2,48,16,1,6,6,18,24,48,16,32,16,16,32,2,6,6,9,12,
12,6,6,12,12,12,24,24,24,16,16,16,32,32,2,3,3,9,18,6,6,12,12,12,12,12,12,24,
24,8,12,16,6,9,3,3,6,6,6,12,12,8,12,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,2,12,24,
48,4,1,1,1,6,6,12,12,12,24,24,24,24,48,48,4,8,16,16,16,1,3,3,4,4,4,6,6,6,6,12,
6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,4,8,8,8,8,32,1,3,3,
4,4,4,3,6,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,
12,12,12,12,12,1,4,4,4,8,4,4,4,4,8,8,8,1,4,4,3,3,3,3,3,3,6,3,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,
1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,12,24,24,16,1,3,3,6,6,12,12,
12,12,16,24,32,48,24,24,16,32,32,1,3,3,3,3,6,6,4,6,4,6,6,6,6,6,6,12,12,8,8,12,
12,6,6,6,12,12,12,12,6,16,12,12,24,12,24,12,48,48,4,16,16,16,8,1,1,1,2,3,3,3,
3,6,6,6,6,6,6,3,3,6,3,6,3,6,6,6,6,12,6,6,12,6,6,6,12,6,6,6,12,6,6,12,6,6,6,6,
6,12,12,12,12,24,12,24,12,12,12,4,4,4,16,8,8,8,16,3,3,3,6,4,6,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,
6,6,6,6,1,4,4,4,3,1,1,1,1],[1,1,2,12,24,48,16,1,3,3,6,6,6,12,12,6,16,24,12,32,
48,24,24,24,48,48,16,32,16,16,32,1,3,3,3,3,4,4,6,6,6,6,6,8,8,12,12,6,6,6,12,6,
12,12,12,16,12,12,24,12,12,12,12,12,12,24,12,12,24,24,24,24,24,24,48,48,4,16,
8,16,16,32,32,1,1,1,2,3,3,3,3,3,6,3,6,3,6,6,3,6,6,6,12,12,6,12,6,6,6,12,6,6,6,
6,12,6,6,6,6,12,24,12,12,12,12,12,12,12,12,24,12,12,12,24,24,24,24,4,4,4,4,4,
8,8,8,16,16,3,3,3,4,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,
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],[1,1,2,
12,24,48,4,1,3,3,6,6,6,12,12,6,24,12,48,24,24,24,48,48,48,4,4,4,16,16,1,3,3,3,
6,3,4,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,6,12,12,6,12,12,12,12,12,12,24,
12,24,24,12,12,24,24,48,24,24,24,24,4,12,12,8,8,16,16,1,1,3,3,3,3,3,4,4,6,6,6,
3,6,6,3,6,3,3,6,8,8,6,12,6,12,6,6,12,6,6,6,12,6,6,6,6,12,6,12,12,12,12,24,12,
12,12,12,12,12,24,24,12,12,12,24,12,1,4,12,4,4,12,4,4,8,8,1,2,3,3,4,4,3,3,3,3,
6,3,6,3,3,3,8,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,1,1,4,2,2,2,2,4,4,4,4,
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],[1,1,2,
48,4,1,3,3,3,3,18,24,48,4,4,4,16,16,1,1,3,3,3,3,9,12,12,12,12,6,12,6,12,12,12,
12,12,12,4,12,12,8,8,16,16,1,1,3,3,9,9,9,6,6,12,6,6,6,12,6,12,12,12,12,12,12,
1,4,12,4,4,12,4,4,8,8,3,3,9,3,6,3,3,3,6,6,6,6,6,1,4,4,4,4,4,4,4,4,1,3,3,3,3,3,
3,3,2,4,3,1,1,1,1],[1,1,2,48,4,1,6,6,18,24,48,4,4,4,16,16,2,6,6,9,12,12,6,6,
12,12,12,24,24,24,4,12,12,8,8,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,24,24,1,
4,12,4,4,12,4,4,8,8,6,9,3,3,6,6,6,12,12,1,4,4,4,4,4,4,4,4,1,3,3,6,6,3,2,4,3,1,
1,1,1],[1,1,2,48,16,1,3,3,3,3,18,24,48,16,32,16,16,32,1,1,3,3,3,3,9,12,12,12,
12,6,12,6,12,12,12,12,12,12,16,16,16,32,32,1,1,3,3,9,9,9,6,6,12,6,6,6,12,6,12,
12,12,12,12,12,4,4,12,16,3,3,9,3,6,3,3,3,6,6,6,6,6,4,4,4,4,4,12,4,4,4,1,3,3,3,
3,3,3,4,4,4,3,1,1],[1,1,2,12,24,48,16,1,3,3,6,6,6,12,12,6,16,24,12,32,24,24,
24,48,48,48,16,32,16,16,32,1,3,3,3,4,6,3,8,4,8,6,6,6,6,6,6,16,12,12,12,12,12,
12,12,6,12,6,12,12,12,12,12,12,12,24,12,12,24,12,24,24,24,24,48,24,24,24,4,16,
8,16,16,32,32,1,1,2,1,3,3,3,3,6,6,6,3,6,6,3,6,3,3,6,6,6,12,6,6,6,6,6,12,6,12,
12,6,6,6,12,6,12,12,12,12,12,24,12,12,12,12,12,12,24,12,24,12,12,12,24,12,4,4,
4,4,8,8,4,8,16,16,3,3,3,4,6,3,3,6,3,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,4,4,4,4,4,8,4,8,4,4,8,4,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[
1,1,2,8,24,16,1,4,4,6,12,12,24,32,16,32,32,3,4,4,6,6,6,6,8,8,12,16,12,12,24,
16,8,16,16,1,2,2,4,4,3,3,6,6,6,6,6,6,12,12,4,8,8,16,16,1,3,3,6,6,6,6,4,4,4,8,
8,1,3,3,4,1,1,1],[1,1,2,48,4,1,3,3,3,3,18,24,48,4,8,16,16,1,1,3,3,3,3,9,12,12,
12,12,6,12,6,12,12,12,12,12,12,4,12,12,8,8,32,1,1,3,3,9,9,9,6,6,12,6,6,6,12,6,
12,12,12,12,12,12,1,4,4,4,4,12,4,12,8,8,3,3,9,3,6,3,3,3,6,6,6,6,6,1,4,4,4,4,4,
4,4,4,1,3,3,3,3,3,3,3,4,2,3,1,1,1,1],[1,1,2,8,36,24,72,1,3,3,6,6,4,4,18,18,36,
12,36,12,36,48,72,96,144,48,48,96,288,96,1,2,3,3,6,6,9,9,12,12,4,12,6,18,18,
18,18,18,6,6,18,6,24,24,24,24,36,12,36,12,36,36,12,36,12,36,12,12,12,12,36,12,
12,36,36,12,12,36,12,12,36,12,12,12,12,12,48,24,24,72,72,72,24,72,72,24,24,72,
72,24,24,72,24,72,24,24,24,72,72,24,72,32,144,144,64,96,1,2,3,3,3,6,6,6,9,9,9,
9,9,9,9,4,4,4,4,12,12,4,4,6,18,18,18,18,6,6,6,6,18,18,18,18,6,18,18,6,18,6,6,
18,18,6,18,18,18,18,8,24,24,24,24,8,12,36,12,12,36,12,12,12,12,12,12,12,12,12,
36,12,12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,36,12,12,12,36,36,12,12,12,
12,12,12,12,12,36,12,12,36,36,12,12,36,36,12,12,12,36,12,12,12,12,36,12,36,12,
48,48,24,72,24,24,24,24,72,24,24,24,72,24,24,72,24,24,24,24,24,24,24,24,24,72,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,72,24,24,
24,24,72,24,72,72,72,144,144,144,144,3,1,6,6,6,6,6,9,3,9,9,3,9,9,9,3,9,9,9,9,
4,12,12,12,12,4,6,18,6,18,6,18,18,6,18,18,18,18,18,6,6,18,6,18,18,6,6,6,18,18,
6,18,18,6,6,6,6,6,18,6,6,18,6,18,18,18,6,6,18,18,18,24,8,24,24,24,36,36,36,36,
12,36,12,36,12,36,12,12,36,12,12,12,12,12,12,36,12,36,36,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,36,36,12,12,12,12,
36,12,36,36,36,36,36,12,12,12,12,12,36,36,12,36,12,12,12,12,48,24,24,24,24,24,
24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,1,2,3,3,3,6,6,6,3,9,9,3,9,9,9,3,3,3,3,3,3,9,9,3,3,3,3,4,4,6,18,6,18,6,18,
18,6,6,6,18,6,6,6,6,6,6,6,6,6,18,18,6,6,18,6,6,6,6,18,18,18,6,6,6,6,18,6,18,6,
18,6,18,6,6,12,36,12,12,12,36,12,12,36,12,12,12,36,12,12,36,12,12,36,12,12,36,
12,12,12,12,12,12,12,12,12,36,12,12,24,24,1,1,1,3,6,2,3,3,3,3,3,3,9,9,3,3,3,3,
3,3,3,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,12,12,1,3,3,3,3,3,3,6,6,
1],[1,1,2,36,16,72,1,3,3,6,6,18,18,8,8,36,36,36,48,72,96,144,48,48,288,1,2,3,
3,6,6,9,9,4,4,12,4,12,4,12,18,18,18,18,18,18,8,8,24,24,24,24,36,36,36,36,12,
36,12,12,36,36,36,36,36,36,12,48,24,72,24,72,24,72,72,72,72,72,72,24,72,72,72,
72,144,144,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,4,4,12,4,4,4,12,4,18,18,18,18,
6,6,18,18,18,18,18,18,18,6,18,6,18,18,18,18,18,8,8,24,24,24,24,12,36,36,12,12,
36,12,36,12,12,36,12,12,12,36,36,36,36,12,12,36,36,36,36,36,36,12,36,12,12,36,
12,12,48,48,24,72,24,72,24,24,72,72,24,24,72,24,72,72,72,24,24,72,72,24,72,
144,144,144,144,3,6,6,6,6,2,6,9,9,9,9,9,9,9,9,9,9,12,4,4,4,12,4,12,4,12,18,18,
18,18,18,18,18,18,18,18,6,18,18,6,6,18,18,18,6,18,6,6,6,18,18,6,18,6,18,18,6,
18,6,18,18,24,24,24,8,24,36,12,36,36,36,36,36,12,36,36,12,12,12,36,12,36,12,
36,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,36,36,12,12,12,36,36,36,36,36,
36,12,36,36,36,48,24,24,72,24,24,1,2,3,3,1,1,3,6,6,6,9,9,9,9,9,9,9,3,3,4,4,4,
4,6,18,6,18,18,6,6,18,6,18,6,6,6,6,6,6,18,18,18,6,18,18,18,6,6,6,6,18,6,6,6,6,
18,18,18,36,12,36,36,12,12,12,12,12,36,12,12,36,36,36,36,1,3,2,6,3,9,9,3,3,3,
3,3,3,6,6,18,6,6,6,6,6,18,6,12,1,1,1,3,3,3,3,1],[1,1,2,8,28,16,8,24,32,1,1,1,
2,2,4,4,10,14,8,8,20,4,28,4,12,32,24,32,48,16,16,32,16,16,32,32,64,32,64,64,1,
2,7,5,4,8,4,4,4,4,6,6,6,6,6,2,10,2,8,8,8,16,8,4,4,12,4,4,4,12,12,4,12,12,20,4,
4,4,4,8,4,4,12,4,4,8,4,8,4,12,4,4,12,8,8,16,16,24,8,24,8,8,8,8,16,8,16,8,16,8,
40,8,8,8,8,24,8,8,8,8,8,16,8,16,16,16,16,16,16,16,16,16,16,16,16,16,48,16,16,
16,32,64,32,64,1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,4,2,4,10,6,2,2,4,4,8,2,2,2,6,2,6,
2,6,2,4,2,6,2,2,6,6,4,8,8,8,8,4,4,4,8,4,4,4,4,4,4,4,4,12,12,8,4,4,12,4,4,4,4,
4,4,8,12,4,4,4,8,4,4,4,8,4,12,4,4,4,12,4,4,4,4,4,8,4,4,4,16,8,4,4,4,4,4,4,4,4,
12,4,12,8,4,8,4,4,4,8,8,8,8,8,8,24,8,8,16,8,24,8,8,8,8,8,8,8,16,8,8,16,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,16,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,1,1,2,2,1,1,1,1,1,2,3,1,2,1,3,4,4,2,2,2,2,2,2,4,4,2,6,2,4,2,2,4,8,6,6,2,2,
2,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,6,2,2,2,2,4,2,2,8,4,4,4,8,4,4,4,4,4,8,4,4,4,4,
4,4,8,4,4,4,8,8,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,16,16,1,1,3,2,1,1,1,1,1,1,1,1,1,1,2,3,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,4,2,2,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,8,20,16,24,40,32,1,3,3,2,2,4,4,10,10,8,8,12,4,12,20,12,20,4,16,40,8,32,
48,48,48,48,16,16,16,16,96,32,96,96,32,64,64,1,3,3,2,5,5,4,4,4,4,4,4,4,4,6,10,
10,10,10,10,6,6,6,6,8,8,8,8,20,12,4,12,8,12,12,4,12,8,12,4,12,12,12,12,12,4,
12,4,20,12,4,12,20,4,12,12,12,12,12,20,12,12,12,12,12,4,16,24,8,24,8,16,8,8,
24,8,24,8,8,8,8,24,8,8,24,24,24,24,24,16,24,24,8,8,24,24,16,24,24,8,24,16,8,
24,24,32,16,16,16,16,16,16,16,32,16,16,16,16,16,16,16,16,16,16,16,32,16,16,16,
16,64,32,32,32,96,32,32,32,32,32,32,32,32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,6,4,4,2,2,6,6,6,6,6,6,4,2,10,2,6,6,6,6,4,6,2,2,6,10,2,6,
10,6,2,6,2,6,10,8,8,8,8,8,8,4,4,12,4,12,12,12,12,12,12,12,12,4,12,4,12,12,4,4,
12,12,12,12,12,12,4,12,12,12,4,4,12,4,12,4,12,4,12,4,4,4,8,12,4,12,12,12,4,12,
12,4,4,8,8,12,4,12,12,12,4,12,4,12,4,4,12,12,4,4,4,4,8,4,20,4,12,8,8,12,4,12,
12,4,12,4,12,12,12,4,4,4,12,12,4,4,4,12,4,12,12,4,4,4,4,8,8,8,8,8,8,24,8,8,8,
8,24,8,24,8,8,24,24,24,8,24,24,8,8,24,8,8,8,24,8,8,24,8,8,8,24,24,24,8,8,8,8,
8,8,24,8,8,8,8,24,24,8,24,24,8,8,24,8,24,8,24,8,24,24,24,8,24,24,8,8,8,8,8,24,
24,8,8,8,24,24,24,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,
8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,32,32,1,1,2,2,2,5,3,
3,1,1,1,3,3,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,6,2,4,6,2,4,2,6,2,2,2,2,2,
2,2,2,2,6,2,2,2,6,2,6,6,6,6,2,2,6,2,6,2,2,2,2,6,2,2,6,2,2,2,2,2,2,6,2,6,2,2,6,
2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,8,8,8,4,8,4,4,4,8,12,4,4,4,4,12,4,12,
4,4,4,8,4,4,4,4,4,4,4,4,4,12,4,12,4,12,4,12,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,
4,4,4,4,12,12,4,4,4,12,4,4,4,4,4,4,4,4,4,12,12,12,4,4,12,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,12,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,12,4,4,4,4,12,8,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,12,4,4,4,4,4,4,4,8,4,4,4,
4,4,4,8,24,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,24,8,8,8,24,24,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,24,8,8,8,8,8,8,8,8,8,8,24,8,8,8,16,16,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,1,
1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,2,20,40,
32,1,3,3,2,2,10,10,12,4,20,20,4,16,40,8,32,48,16,32,16,16,32,96,32,1,3,3,2,5,
5,4,4,4,10,10,10,10,10,6,8,8,20,4,8,12,4,8,4,12,8,4,20,4,20,4,12,20,8,16,16,8,
16,16,8,24,8,8,8,8,8,24,16,8,24,24,24,16,8,8,16,8,16,8,24,16,16,16,16,32,16,
16,16,16,16,32,16,32,32,32,32,32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,2,4,6,4,2,
10,2,6,6,4,2,4,10,2,10,2,6,2,6,10,8,8,4,4,8,12,12,8,8,12,12,4,8,12,4,4,8,8,8,
8,4,12,8,8,8,4,4,4,8,8,4,20,8,8,8,4,4,4,4,4,4,8,4,4,8,8,16,8,24,8,24,8,8,16,8,
24,16,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,16,8,8,8,8,8,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,1,2,2,5,3,1,2,1,3,3,2,1,1,1,1,4,4,4,2,2,4,4,2,4,2,6,2,2,4,2,
2,4,2,2,6,2,2,2,4,4,4,2,2,4,2,4,2,2,2,2,2,4,2,2,2,2,8,8,8,4,4,8,4,4,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,8,4,8,4,4,4,4,4,
12,8,4,8,4,8,4,8,16,8,8,16,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,1,1,1,1,2,1,1,1,2,
1,2,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,4,4,2,2,2,2,2,4,2,2,4,2,2,2,2,4,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,1,1,2,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,20,24,40,1,3,3,2,2,4,4,10,10,12,
12,20,12,20,16,40,32,48,48,48,32,96,96,96,1,3,3,2,5,5,4,4,4,4,6,10,10,10,10,
10,6,6,6,6,8,8,20,12,4,12,8,12,12,8,12,12,12,12,4,12,20,12,12,20,4,12,12,12,
12,12,20,12,12,12,12,4,16,24,16,24,16,16,24,24,8,24,24,24,24,24,8,16,24,24,8,
8,24,16,24,24,24,16,8,24,24,32,32,16,32,64,96,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,
4,4,4,4,6,4,4,2,2,6,6,6,6,4,10,2,6,6,6,6,4,2,6,10,10,6,2,6,6,10,8,8,8,8,12,8,
12,12,12,12,12,12,12,12,8,12,4,12,12,4,12,12,12,12,4,12,12,8,12,12,4,12,4,8,8,
8,12,12,12,12,12,12,4,4,8,8,12,12,12,12,4,12,4,12,4,4,8,20,4,4,12,8,8,12,12,
12,12,12,12,4,4,12,4,4,12,8,8,8,8,24,8,8,24,24,24,24,24,24,8,8,24,8,24,8,24,
24,24,24,24,24,24,24,8,8,24,8,24,24,24,24,24,24,24,24,24,24,24,24,8,8,24,8,8,
8,8,8,24,24,8,8,24,8,8,8,8,16,16,16,16,1,1,2,2,5,3,3,1,1,1,3,3,1,1,1,1,1,4,4,
4,4,4,2,2,2,6,4,6,4,6,2,2,2,2,4,6,2,2,2,6,6,6,2,6,2,2,2,4,6,2,4,2,2,2,6,2,2,2,
2,2,4,2,2,2,8,8,8,8,12,4,12,4,8,4,4,4,12,4,4,12,12,4,4,4,8,4,4,12,12,12,4,4,4,
4,12,12,12,4,12,4,4,8,4,12,12,4,4,4,12,8,12,12,4,4,4,4,12,4,4,4,4,12,4,12,4,4,
4,4,12,8,4,4,4,12,12,4,4,4,4,8,4,4,4,4,24,8,24,16,8,8,8,8,8,24,8,24,8,24,24,8,
8,8,8,24,24,8,8,24,8,24,8,8,8,8,8,8,24,8,8,24,1,1,1,1,1,1,1,3,1,1,1,1,1,3,2,1,
2,4,4,2,2,2,6,2,4,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,1,1,1,1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,
1,1,1,1,1],[1,1,2,28,16,24,32,1,1,1,2,2,10,14,20,8,28,8,12,32,24,32,16,16,16,
16,16,32,64,32,32,1,2,7,5,4,8,4,4,4,6,6,6,4,10,4,8,16,8,4,12,8,4,4,20,4,8,4,8,
4,4,12,8,8,8,4,8,8,4,16,8,16,8,24,8,8,8,8,8,16,16,16,8,8,8,16,8,40,16,8,8,8,8,
8,8,8,16,8,8,16,16,16,16,16,16,16,16,48,32,32,1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,
10,6,4,2,6,2,6,4,4,8,4,2,2,2,2,4,2,2,6,6,4,8,8,4,4,8,4,8,4,4,8,4,4,4,8,4,8,8,
4,4,4,8,4,12,8,8,8,8,4,4,4,4,8,4,4,8,4,16,8,4,4,4,4,12,4,4,8,4,4,4,8,16,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,16,8,8,8,8,8,8,8,
8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,1,2,2,1,2,1,1,2,1,2,1,3,4,4,2,2,2,
4,4,2,6,2,2,2,4,8,2,2,2,2,2,2,2,4,6,2,4,4,6,2,4,2,2,2,2,4,4,2,4,2,2,4,8,8,4,4,
4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
16,16,1,1,2,1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,12,16,16,24,1,1,1,6,6,18,6,8,8,12,4,8,12,8,12,4,24,8,48,16,32,
2,1,6,6,3,9,4,12,4,12,6,6,6,4,6,4,8,8,12,12,8,12,12,4,12,12,12,12,12,4,4,4,12,
12,8,8,4,8,4,12,8,24,8,8,24,8,24,24,16,8,24,8,8,8,16,24,24,8,8,8,24,24,8,16,
16,2,3,3,9,3,3,3,3,4,4,4,6,6,6,2,2,18,2,4,6,6,6,4,6,6,6,6,2,8,8,8,8,8,8,12,4,
12,4,4,4,12,4,12,4,12,12,4,8,4,12,8,4,8,12,12,4,12,4,12,4,4,12,12,4,12,4,4,4,
8,12,4,12,4,4,12,24,8,8,24,24,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,24,8,16,8,8,8,16,
8,8,8,8,8,8,24,8,24,8,1,2,6,2,2,2,3,3,3,2,9,3,3,4,4,2,4,6,2,6,2,6,6,6,2,2,6,6,
2,6,4,6,2,6,4,6,2,2,6,6,2,8,12,12,4,4,4,4,4,4,4,4,12,12,12,4,8,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,12,4,4,12,4,4,12,12,4,12,12,4,4,4,8,4,4,4,4,4,4,4,8,8,8,8,
8,8,8,8,24,8,8,1,1,1,3,2,3,1,1,1,2,3,1,1,2,2,6,6,2,2,2,6,2,2,2,2,2,6,6,6,2,2,
2,4,2,6,4,2,2,2,6,6,6,2,6,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,
3,3,1,2,1,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,28,16,16,
24,1,1,1,2,2,10,14,8,8,20,4,8,28,8,12,4,32,24,8,32,48,16,32,64,32,1,2,7,5,4,8,
4,4,4,6,6,6,4,10,4,8,8,8,16,8,4,12,8,4,4,12,12,12,20,4,8,8,4,4,4,12,8,8,8,4,8,
8,4,12,8,8,8,16,16,8,24,24,16,16,8,16,8,8,8,16,40,16,8,24,8,8,8,16,8,8,16,16,
16,16,16,48,64,64,1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,10,6,4,2,2,4,4,2,8,4,2,2,2,6,
4,6,2,6,6,2,4,8,8,8,8,8,8,8,4,4,4,4,4,4,12,8,4,8,12,4,4,4,4,4,4,8,12,8,4,8,8,
8,4,12,4,8,4,8,4,16,8,4,4,4,4,4,12,4,4,12,8,8,8,16,8,8,8,24,8,16,24,8,8,8,8,8,
8,16,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,16,8,16,8,8,8,8,16,8,8,8,8,16,16,16,
1,2,2,2,1,2,1,1,2,1,2,1,3,4,4,2,2,2,2,2,4,4,2,6,4,4,8,2,6,2,2,2,2,2,2,4,6,2,4,
6,2,2,2,2,4,2,2,4,2,8,4,8,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,8,8,4,4,8,8,4,4,4,4,8,
4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,
8,8,16,8,8,8,8,8,8,8,16,8,8,8,8,1,1,2,1,1,1,2,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,8,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,20,16,40,1,3,3,2,2,10,10,8,8,12,20,20,
16,40,32,48,48,16,96,1,3,3,2,5,5,4,4,4,4,4,4,4,10,10,10,10,10,6,8,8,8,8,20,4,
8,12,12,8,12,12,12,8,20,20,4,12,20,12,8,16,8,16,8,24,24,24,16,24,24,24,8,16,8,
24,8,16,16,8,24,32,16,32,32,32,1,1,1,1,2,1,3,3,1,5,3,5,4,4,4,4,4,4,4,4,4,4,2,
4,6,6,6,4,10,2,6,6,4,6,4,10,6,10,2,6,6,10,8,8,8,8,4,12,12,4,8,12,12,12,12,12,
4,12,12,8,4,4,8,12,8,8,8,12,12,8,8,20,4,8,8,8,12,4,4,12,12,4,12,4,8,8,16,24,
24,8,24,24,8,16,8,24,8,8,16,8,8,8,8,24,8,8,16,8,8,8,8,16,16,16,16,1,2,2,2,5,3,
1,2,1,3,3,2,1,1,1,1,4,4,4,4,4,4,4,4,2,4,4,4,6,2,2,4,2,2,2,6,6,6,2,2,6,4,4,2,6,
2,2,4,6,2,6,2,2,2,2,6,2,8,8,8,4,8,4,12,8,4,12,12,12,4,4,4,4,4,4,4,4,4,8,8,4,4,
4,12,4,4,4,4,4,12,4,8,4,8,4,4,4,4,4,4,4,4,4,12,8,4,8,4,4,12,8,8,8,16,8,8,8,8,
8,8,8,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,4,4,4,4,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,
4,2,2,4,2,6,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,1,1,2,
1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,28,
8,24,1,1,1,2,2,4,4,10,14,20,4,4,28,4,12,4,32,24,8,32,16,16,32,64,1,2,7,5,4,8,
4,4,4,4,6,6,6,6,6,2,10,2,8,16,8,4,4,12,4,4,4,4,12,20,4,4,4,8,4,4,4,12,4,4,8,4,
8,4,4,4,12,8,16,8,16,8,8,24,16,8,8,16,8,16,40,8,8,8,8,8,8,16,8,16,16,16,16,16,
48,1,2,1,2,2,1,1,5,3,2,3,4,4,4,4,4,2,4,10,6,2,6,2,6,4,4,2,8,2,2,2,6,2,6,2,4,2,
2,6,6,2,4,8,8,4,4,4,4,4,4,4,8,4,12,8,4,4,4,8,4,4,4,4,8,4,12,4,4,4,8,4,4,4,8,4,
4,12,4,4,8,4,4,4,16,8,4,4,12,4,4,4,4,4,8,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,16,16,16,1,1,2,1,1,1,1,1,2,3,1,2,1,3,4,4,2,2,
2,2,2,2,2,2,4,4,2,6,2,2,2,4,8,6,2,2,2,2,4,6,2,2,4,2,6,2,2,2,2,6,4,2,2,4,2,4,8,
4,8,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,3,2,1,1,1,
1,1,1,1,1,1,3,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,
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],[1,1,2,8,12,16,8,24,32,1,1,
1,6,6,4,4,18,6,8,8,12,4,12,4,12,24,48,16,16,16,16,32,32,32,64,64,2,1,6,6,3,9,
4,12,4,4,12,6,6,6,6,6,2,6,2,8,8,12,4,12,4,12,12,4,12,12,12,4,12,12,12,4,12,4,
4,4,12,12,4,4,4,4,12,4,4,4,8,24,24,24,8,24,8,8,8,8,8,24,8,8,24,8,24,8,8,8,24,
24,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,32,32,2,3,3,9,3,3,3,3,4,4,4,4,
4,2,6,6,6,6,2,18,2,6,6,6,6,2,2,2,2,6,6,2,6,6,8,8,8,8,4,4,4,4,4,12,4,4,12,4,4,
4,12,4,4,12,12,12,4,4,4,12,4,4,4,4,12,4,12,12,4,4,4,4,4,4,12,12,4,4,12,4,4,12,
12,4,4,12,4,4,4,12,4,12,4,12,4,4,4,4,24,8,8,8,8,8,8,24,8,8,24,8,24,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,24,8,8,8,8,24,8,16,16,16,16,16,16,16,16,16,16,1,1,2,6,2,2,1,3,
3,3,3,1,9,3,3,4,4,2,6,2,2,6,6,2,6,6,6,2,2,2,2,6,6,2,2,6,2,2,6,2,6,6,2,6,2,2,2,
2,6,2,6,2,2,8,4,12,4,12,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,12,4,12,12,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,3,1,3,3,1,3,1,1,1,
1,1,1,3,2,2,2,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,6,2,2,2,2,6,6,6,2,2,
2,6,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,2,1,1,1,1,3,3,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,16,24,32,1,
1,1,6,6,18,6,12,8,12,8,12,24,16,16,48,16,16,32,32,32,2,1,6,6,3,9,4,4,12,12,6,
6,6,4,6,4,12,12,8,12,12,12,4,12,4,4,4,12,12,8,8,4,8,4,8,8,24,24,24,8,8,8,8,8,
16,24,8,8,16,24,8,8,8,8,24,24,8,16,16,16,16,16,16,16,32,32,2,3,3,9,3,3,3,3,4,
4,4,6,6,6,2,6,2,6,18,4,6,6,2,4,2,6,6,6,8,8,4,4,8,12,8,12,4,4,4,4,4,12,4,8,4,
12,8,8,12,4,4,4,4,12,4,12,12,12,4,4,12,4,4,12,8,12,12,4,4,8,8,8,8,8,8,24,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,
16,16,16,1,2,6,2,2,3,3,3,2,9,3,3,4,4,4,6,6,6,2,6,6,2,2,2,6,2,6,2,2,2,6,4,2,2,
6,4,2,2,2,6,2,12,12,4,4,4,4,4,4,4,4,4,12,12,4,4,8,4,4,4,4,4,4,4,12,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,12,4,4,4,4,12,12,4,8,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,1,1,1,3,2,3,1,1,1,1,1,2,3,2,6,2,6,2,2,2,6,2,2,2,2,2,2,6,2,2,2,6,2,6,2,
2,2,2,4,2,6,2,4,2,2,2,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,3,1,1,
1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,36,72,
32,1,3,3,6,6,18,18,36,4,36,36,4,48,72,8,96,144,16,16,16,32,288,32,1,2,3,3,6,6,
9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,4,36,4,36,4,36,4,36,36,
36,36,48,8,72,8,72,8,8,8,8,8,72,8,72,72,72,8,72,72,8,8,72,8,72,72,72,16,16,16,
16,144,16,16,16,16,16,16,144,16,32,32,32,32,32,32,1,2,3,3,3,6,6,6,9,9,9,9,9,9,
9,12,12,18,18,18,18,18,18,2,18,18,18,18,18,2,18,2,18,18,18,2,18,18,24,24,24,
24,4,4,36,36,36,36,4,36,4,4,36,4,36,36,36,4,4,4,36,36,4,36,4,36,36,4,36,4,36,
4,4,4,36,4,4,48,48,8,72,8,72,8,72,72,8,8,8,72,8,8,8,8,8,8,8,72,8,8,8,72,8,8,8,
8,8,72,8,8,8,72,72,8,8,8,72,8,16,16,16,16,16,16,16,16,16,16,16,16,16,144,16,
16,144,16,144,16,16,16,16,16,144,16,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,
12,2,18,18,18,18,2,18,2,18,18,18,18,18,2,2,18,18,18,18,18,18,2,2,2,18,18,2,18,
18,18,2,18,2,18,18,2,24,24,24,24,36,36,36,36,36,36,4,36,4,36,4,4,4,4,4,4,36,4,
36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,36,36,4,4,4,4,4,36,4,36,4,4,36,36,
36,36,36,36,4,4,4,4,4,36,36,36,4,4,48,8,8,8,8,8,8,8,72,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,3,3,3,6,6,6,9,9,9,9,9,1,9,9,1,
1,1,2,18,2,2,18,18,2,2,2,18,2,2,18,2,2,2,2,2,2,2,18,18,18,2,18,18,2,18,2,2,2,
2,18,18,18,2,18,4,4,4,4,36,4,36,36,4,4,4,4,4,36,4,4,4,4,4,4,4,4,36,4,4,4,4,36,
4,4,4,4,36,4,4,4,4,4,4,4,4,4,36,4,4,4,4,4,8,8,8,8,8,8,8,8,3,6,1,1,1,1,9,9,1,1,
1,1,2,2,2,18,2,2,2,2,2,2,2,2,2,18,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,8,12,8,24,1,1,1,6,6,4,4,18,6,12,4,4,12,4,12,4,24,8,16,48,
32,2,1,6,6,3,9,4,4,12,4,12,6,6,6,6,6,2,6,2,12,4,12,4,12,12,4,4,12,12,12,4,12,
4,4,4,12,12,4,4,4,4,4,4,4,8,8,24,24,8,24,8,8,24,8,8,8,24,8,8,8,24,24,16,16,2,
3,3,9,3,3,3,3,4,4,4,4,4,2,6,6,6,6,6,2,6,18,2,2,6,6,6,2,2,6,2,6,6,2,8,8,4,12,4,
4,12,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,12,4,12,4,4,4,12,12,12,4,4,4,4,12,12,
12,4,4,12,4,12,4,4,4,4,4,12,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,1,1,2,6,2,1,3,3,3,3,1,9,3,3,4,4,2,2,2,6,2,2,6,2,6,6,6,6,2,6,2,2,6,2,6,2,
2,2,6,6,2,2,2,2,6,12,4,12,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,12,4,12,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,3,1,
3,3,1,3,1,1,1,3,1,1,1,2,6,6,2,2,2,2,2,6,2,2,2,6,2,2,6,2,6,2,2,2,2,6,2,2,2,2,2,
2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,1,3,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,8,16,1,6,6,18,16,8,32,8,8,16,32,2,6,
6,9,12,12,16,16,8,16,24,24,2,3,3,9,18,16,32,2,8,12,8,8,12,24,24,6,9,16,8,2,12,
8,8,12,1,8,6,8,1,1,2,1],[1,1,2,4,20,16,1,3,3,3,3,18,4,20,8,20,20,16,32,1,1,3,
3,3,3,9,12,12,16,4,20,12,12,16,12,12,1,1,3,3,9,9,9,16,32,4,1,5,4,4,12,4,4,12,
12,12,12,12,3,3,9,16,5,1,4,4,4,12,4,4,12,1,4,4,3,3,4,4,1,1,1,1,1],[1,1,2,6,12,
18,72,1,8,4,1,3,3,3,3,6,6,9,9,36,72,72,72,1,8,2,2,8,8,4,6,8,8,12,12,12,12,12,
48,24,24,48,1,3,3,3,3,3,3,3,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,4,1,1,1,8,3,3,3,3,4,4,4,6,6,6,6,12,24,12,12,12,24,24,48,24,24,24,24,
24,48,24,1,3,3,3,3,3,3,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,9,9,9,9,18,9,
18,18,18,18,4,4,4,8,8,8,8,2,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,6,6,6,6,
6,6,6,6,6,6,6,6,6,24,12,12,12,12,12,12,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,4,4,
4,4,4,8,8,8,8,2,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,6,6,12,6,6,12,9,1,4,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,6,3,3,3,3,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,1,2,36,72,64,1,
3,3,6,6,18,18,36,36,36,48,72,96,144,288,64,128,1,2,3,3,6,6,9,9,12,12,12,18,18,
18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,
72,72,72,72,72,72,144,144,48,64,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,144,144,
144,144,16,32,48,48,96,96,96,192,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,
24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
48,72,16,32,48,48,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,24,3,6,9,9,18,18,4,8,12,12,24,
24,1,1],[1,1,2,36,72,16,1,3,3,6,6,18,18,36,36,36,48,72,96,144,288,16,32,1,2,3,
3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,
36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,144,144,16,48,48,1,2,3,3,3,6,6,6,
9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,
24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,
72,72,72,72,72,72,144,144,144,144,8,12,16,48,48,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,
9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,48,72,8,12,12,12,16,24,24,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,12,12,24,24,
24,3,6,9,9,18,18,1,8,12,1,3,1],[1,1,2,36,72,16,1,3,3,6,6,18,18,36,36,36,48,72,
96,144,288,16,16,16,1,2,3,3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,
36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,144,144,
16,48,48,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,48,48,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,4,4,12,16,48,48,3,6,
6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,72,4,4,12,12,12,16,24,24,1,2,3,3,
3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,12,12,12,12,12,24,24,3,6,9,9,18,18,1,4,4,12,1,3,1],[1,1,2,24,
12,24,24,16,1,1,1,6,6,12,12,18,6,12,12,12,12,12,24,48,96,16,32,32,32,2,1,6,6,
3,9,12,12,12,18,6,6,6,18,6,6,6,12,12,12,12,12,12,12,12,36,12,12,36,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,16,16,16,16,16,16,
16,2,3,3,9,3,3,3,3,12,12,4,4,6,6,6,6,18,6,18,6,6,6,18,6,6,6,6,6,6,8,8,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,8,12,16,
16,16,16,16,16,16,1,3,2,6,2,3,3,9,3,3,3,9,3,3,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,
18,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,24,24,8,4,12,4,12,4,12,4,8,8,8,8,16,1,3,3,3,9,3,9,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,12,8,8,8,8,8,8,8,3,1,3,3,
3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,1,2,12,48,24,16,1,1,1,6,6,18,6,12,24,12,24,
12,24,48,96,16,32,64,2,1,6,6,3,9,12,12,6,6,6,12,6,12,12,12,24,12,12,12,12,12,
12,12,12,24,24,12,24,12,24,24,24,24,48,24,24,24,48,24,24,24,24,24,24,16,16,16,
32,32,2,3,3,9,3,3,3,3,4,4,6,6,6,6,6,18,12,6,6,12,6,6,6,8,8,24,24,12,12,12,12,
12,12,12,24,12,24,24,12,12,12,12,12,12,12,12,12,12,12,24,12,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,48,24,48,24,24,24,8,12,32,16,16,16,32,1,2,6,2,6,3,3,3,
6,9,3,3,12,6,6,6,6,6,6,6,6,6,12,6,6,12,6,12,12,12,12,12,12,12,24,12,12,12,12,
12,12,12,12,12,12,12,24,12,12,24,24,24,24,24,24,8,4,12,4,8,8,8,8,16,16,16,1,3,
3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,12,6,6,6,12,12,12,12,4,4,4,8,8,8,8,16,
8,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,2,1,1],[1,1,2,12,16,24,16,1,1,1,6,6,18,6,8,
8,12,12,12,24,48,16,32,64,2,1,6,6,3,9,4,12,4,12,6,6,6,6,8,8,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,16,16,16,32,32,2,3,3,9,3,3,3,3,4,
4,4,6,6,6,18,6,6,6,6,6,6,6,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,24,24,24,24,24,8,12,16,16,16,32,32,1,2,6,2,2,3,3,3,9,3,3,4,4,6,
6,6,6,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,24,8,4,12,4,8,8,
8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,2,3,3,6,1,4,1,1,2,
1],[1,1,2,12,24,16,1,1,1,6,6,18,6,12,12,12,24,48,16,32,2,1,6,6,3,9,4,4,12,12,
6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,16,16,16,2,3,3,9,3,3,3,3,
4,4,4,6,6,6,6,6,18,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,24,8,
12,16,16,16,1,2,6,2,3,3,3,9,3,3,4,4,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,12,8,4,12,4,8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,1,4,1,1,1],[1,
1,2,12,24,96,16,1,1,1,6,6,18,6,12,12,12,24,48,48,48,96,96,16,32,64,64,2,1,6,6,
3,9,12,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,48,48,48,16,16,16,32,32,128,2,3,3,9,3,3,3,3,4,4,6,6,6,18,
6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,8,12,16,16,16,32,
32,1,2,6,2,3,3,3,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,8,4,12,4,8,8,8,8,
16,32,1,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,4,8,8,8,
8,16,1,3,3,6,6,6,6,12,1,4,8,3,1,2,1],[1,1,2,12,24,16,1,1,1,6,6,18,6,12,12,12,
12,12,24,24,16,32,2,1,6,6,3,9,12,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,16,16,16,2,3,3,9,3,3,3,3,4,4,6,6,6,18,6,6,6,6,6,
6,6,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,8,
12,16,16,16,1,2,6,2,3,3,3,9,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,8,4,12,4,8,8,16,1,3,3,3,3,6,6,6,6,6,6,6,6,6,
12,12,12,12,4,4,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,1,2,24,8,48,16,1,6,6,12,12,18,
4,4,24,48,96,16,32,32,32,32,32,2,6,6,9,12,12,12,18,18,4,6,36,6,36,6,6,12,12,
12,12,12,24,24,24,24,24,24,24,16,16,16,16,16,16,16,64,64,2,3,3,9,12,12,18,18,
18,4,4,6,6,6,6,36,36,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,24,24,8,12,16,16,16,16,16,16,16,3,6,1,9,9,3,18,3,3,18,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,8,12,12,12,4,4,4,4,16,16,1,9,
9,3,3,3,3,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
2,12,24,96,16,1,3,3,4,4,6,6,24,12,12,24,48,48,48,96,96,16,16,16,64,64,1,1,3,3,
4,3,3,3,6,6,6,6,6,12,12,12,12,12,6,6,12,12,12,12,24,12,24,24,24,24,24,12,12,
24,24,12,12,24,12,24,48,48,48,48,24,48,24,48,24,16,16,16,32,32,64,64,1,1,3,3,
3,3,3,3,3,9,3,6,3,6,6,12,3,6,6,6,12,6,4,4,12,12,12,12,6,12,6,6,12,12,6,6,12,6,
6,6,12,6,12,6,12,12,12,8,8,24,12,24,24,12,12,24,24,12,12,24,12,24,24,24,12,24,
12,24,24,24,24,24,24,24,24,24,24,24,24,4,4,12,16,16,16,32,32,3,1,1,4,3,3,3,2,
3,3,3,6,3,3,3,6,6,6,3,6,3,6,6,9,6,6,6,6,6,6,12,12,12,12,12,6,12,12,12,12,6,12,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,24,24,
4,4,4,12,4,8,8,8,8,16,16,16,1,3,3,3,6,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,12,6,6,6,
6,6,6,6,6,6,12,6,6,6,6,4,4,4,4,4,8,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,
2,1],[1,1,2,12,24,16,1,3,3,4,4,6,6,24,12,12,12,12,24,24,16,16,16,1,1,3,3,4,3,
3,3,6,6,6,6,6,12,12,12,12,12,6,12,6,12,12,12,12,12,12,12,12,24,24,12,12,24,12,
12,12,24,24,24,24,16,16,16,1,1,3,3,3,3,3,3,3,9,3,6,3,6,6,6,12,3,6,6,6,6,6,6,
12,6,4,4,12,6,6,6,12,6,6,12,12,6,6,6,6,12,12,6,12,12,12,8,8,24,12,12,12,12,12,
12,12,12,4,4,12,16,16,16,3,1,1,4,3,3,3,2,6,3,3,3,3,6,3,3,6,6,6,3,6,6,3,6,6,6,
9,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,12,4,
8,8,16,1,3,3,3,3,3,3,6,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,
3,3,3,1,4,4,4,3,1,1],[1,1,2,8,24,48,16,1,6,6,18,4,4,12,12,24,48,96,16,32,32,
32,32,32,2,6,6,9,12,12,6,6,4,12,6,6,6,12,12,12,6,12,12,12,12,24,24,12,12,24,
24,24,24,24,24,24,16,16,16,16,16,16,16,64,64,2,3,3,9,18,6,6,4,4,6,12,12,12,6,
12,12,6,6,12,6,6,6,6,12,12,12,12,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,24,8,12,16,16,16,16,16,16,16,6,1,3,3,9,6,3,6,3,3,6,6,6,6,6,6,
12,6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,8,12,4,4,8,4,4,4,4,8,16,
16,1,3,3,3,3,6,3,6,3,6,6,6,6,6,6,6,6,4,4,4,4,4,4,8,4,8,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,2,12,12,16,36,24,48,4,1,3,3,6,6,6,6,8,8,6,18,12,18,12,6,24,12,48,
24,24,24,24,24,48,48,96,48,48,96,96,4,8,8,24,16,16,16,1,3,3,3,3,4,4,4,4,6,4,3,
6,6,6,6,6,3,3,3,8,8,12,18,6,6,6,12,12,6,6,12,12,6,6,6,6,6,12,18,6,18,12,6,18,
18,6,12,6,18,12,18,6,6,12,12,12,12,12,24,12,12,12,12,24,12,12,24,24,12,12,12,
12,12,24,12,12,12,12,36,12,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,
48,48,4,4,4,12,12,12,12,8,8,8,8,32,32,32,1,1,3,3,3,4,4,4,4,4,4,4,6,4,6,3,3,3,
6,3,3,6,6,3,6,3,6,3,6,3,3,3,6,3,6,6,3,3,6,8,8,8,8,6,6,6,12,6,6,6,18,6,6,6,6,6,
6,12,12,6,6,6,12,12,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,18,6,18,6,6,6,12,6,6,
6,6,6,12,6,18,6,6,6,6,6,6,12,6,6,6,12,6,6,12,6,12,6,6,6,12,12,12,12,12,12,12,
12,24,12,24,12,12,12,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,1,4,4,4,4,12,4,4,4,4,12,12,12,12,12,4,12,12,
12,4,8,8,8,8,8,8,8,24,8,8,8,8,8,1,2,2,3,3,6,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,
3,3,3,6,3,6,3,6,3,3,6,3,3,3,6,3,3,3,6,6,3,3,3,3,3,3,3,6,3,3,3,3,3,3,8,8,6,6,6,
6,6,12,6,6,6,6,6,6,12,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,1,1,1,1,1,1,1,4,4,4,2,2,2,2,2,2,2,2,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,12,4,4,4,4,4,4,8,8,8,8,1,1,1,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,2,8,24,24,48,16,1,4,4,6,12,12,12,12,24,32,48,24,48,48,96,16,
32,32,16,16,32,32,6,3,8,4,4,6,6,6,12,16,8,12,12,6,12,6,12,6,6,12,12,24,24,12,
12,12,24,12,12,12,24,24,24,24,24,24,96,8,16,16,16,16,16,16,16,32,32,32,32,1,2,
2,3,3,4,4,6,6,6,6,6,6,12,6,6,12,6,12,6,6,12,6,12,12,12,12,12,24,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,24,24,24,24,24,4,8,16,16,16,8,16,
16,16,16,16,16,1,3,3,6,6,6,3,3,3,6,3,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,8,4,4,4,4,4,8,8,4,4,8,8,8,16,1,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,4,4,4,4,4,8,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,8,12,24,24,24,
48,16,1,3,3,4,4,6,6,12,12,6,12,12,12,12,6,16,24,12,32,48,24,48,48,24,24,24,24,
96,48,96,48,96,96,16,32,32,16,16,32,32,1,3,3,3,3,6,6,4,6,4,6,4,6,6,6,6,6,6,6,
6,6,12,12,8,8,12,12,12,12,12,6,6,6,6,12,6,12,12,12,6,12,12,6,12,12,12,12,12,
12,12,12,12,12,6,12,12,16,24,12,24,12,12,12,24,12,12,12,12,12,12,12,24,24,24,
24,24,12,12,24,24,24,12,24,24,32,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,64,48,48,96,48,48,48,48,48,48,4,16,16,16,8,16,16,16,16,32,32,32,32,1,
1,1,2,3,3,3,3,6,6,4,4,4,4,6,6,6,4,6,4,6,6,3,6,6,3,3,6,6,6,3,3,6,6,3,3,6,6,6,3,
6,8,8,6,6,12,6,12,12,12,12,12,12,12,6,12,12,12,6,6,12,6,12,12,12,6,12,6,6,12,
6,6,6,12,12,6,6,12,6,12,12,12,6,12,12,6,6,12,12,12,6,12,12,6,12,6,6,6,6,12,12,
12,6,12,12,6,12,12,12,6,6,12,6,6,6,6,12,6,6,6,6,6,12,12,24,12,12,12,12,24,24,
24,12,12,24,24,24,12,12,24,24,24,12,12,12,12,12,24,12,12,12,12,24,24,12,24,24,
12,12,24,24,12,24,24,24,24,12,24,24,12,12,12,12,12,24,24,12,12,12,24,24,24,12,
12,12,12,12,12,12,24,12,12,12,12,12,12,24,24,12,12,12,12,24,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,48,48,
48,4,4,4,4,4,16,8,8,8,8,8,16,16,16,16,16,16,16,16,1,3,3,3,3,4,6,4,4,3,3,6,3,6,
3,6,3,3,3,3,3,6,3,3,6,3,6,3,6,3,3,3,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,8,6,6,
12,6,6,6,12,6,6,6,6,6,12,6,12,6,12,6,6,6,6,12,12,6,6,12,6,6,6,12,12,12,12,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,12,6,6,6,6,12,
12,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,12,6,12,6,6,6,6,12,6,12,6,6,6,6,6,6,
12,24,24,12,12,12,12,12,12,24,12,12,24,12,24,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,24,12,12,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,1,3,3,4,4,3,3,3,3,3,6,3,
3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,12,
6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,
1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,2,8,24,48,16,1,6,6,4,4,18,12,12,24,48,
96,16,32,32,16,16,32,32,2,6,6,9,12,4,12,6,6,12,6,12,18,12,6,18,36,12,12,36,12,
24,24,24,24,24,24,24,16,16,16,16,16,16,16,32,32,32,32,2,3,3,9,4,4,6,18,6,12,
12,6,6,18,6,12,12,6,6,6,18,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,
12,36,12,24,24,24,8,12,16,16,16,16,16,16,16,1,6,3,3,9,3,6,3,9,6,6,6,18,18,6,6,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,8,4,12,12,4,4,4,12,8,8,16,1,3,3,9,
9,3,3,6,6,6,6,6,6,6,6,4,4,4,4,4,4,12,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,8,
36,16,24,72,32,1,3,3,6,6,4,4,18,18,8,8,36,4,12,36,12,36,4,48,72,8,96,144,48,
48,48,16,48,16,16,96,32,288,96,32,64,64,1,2,3,3,6,6,9,9,4,4,12,4,12,4,4,12,6,
18,18,18,18,18,6,6,18,6,8,8,24,24,24,24,36,12,36,12,36,36,12,4,12,36,12,4,12,
12,36,12,12,12,12,4,36,12,4,12,36,36,12,12,36,12,12,36,12,12,12,12,12,12,48,
24,24,24,8,72,24,8,72,8,24,8,8,8,8,72,24,8,72,72,24,24,72,8,72,24,24,72,8,24,
8,24,72,24,24,8,24,72,72,24,72,32,16,16,16,16,16,16,16,144,16,16,16,16,16,16,
16,16,16,16,16,16,144,16,16,16,16,64,32,32,32,96,32,32,32,96,32,32,32,96,32,1,
2,3,3,3,6,6,6,9,9,9,9,9,9,9,4,4,4,4,4,4,12,4,4,4,12,4,4,4,6,18,18,18,18,6,6,6,
6,6,6,18,18,2,18,18,6,18,18,6,18,6,2,6,6,18,2,6,18,6,18,18,2,18,18,8,8,8,24,
24,24,24,8,4,4,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,4,12,12,36,12,12,
12,12,12,36,12,12,4,12,36,4,12,4,12,12,12,12,12,12,36,12,4,12,12,12,4,36,12,
12,12,36,36,12,4,12,12,12,4,12,12,12,12,4,12,12,36,12,12,4,4,36,4,36,4,12,12,
36,36,12,4,12,12,4,36,12,4,12,12,12,12,4,36,12,4,12,4,4,4,12,36,12,12,12,4,4,
4,48,48,24,8,24,8,72,24,24,24,8,24,8,24,8,72,24,8,24,24,24,8,24,72,8,8,24,24,
72,24,8,24,8,24,24,8,24,24,24,24,24,8,8,8,8,8,8,24,24,8,8,8,72,24,8,24,24,8,8,
8,8,24,24,24,8,24,8,24,24,24,8,24,24,8,8,8,8,8,24,24,24,8,8,24,24,24,8,8,24,8,
8,8,8,8,8,72,8,24,24,8,8,24,8,24,8,72,8,24,8,8,24,24,8,24,8,8,8,8,8,8,72,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,24,8,72,72,8,8,24,8,8,8,8,72,8,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,144,16,16,144,16,16,144,16,16,16,16,16,
16,16,144,16,32,32,32,32,3,1,6,6,6,6,2,6,9,3,9,9,3,9,9,9,3,9,9,9,9,4,12,4,4,4,
12,4,12,4,12,4,2,2,6,18,6,18,6,2,18,18,6,2,18,2,18,18,18,18,6,6,18,2,2,2,2,6,
6,2,18,18,6,6,6,6,6,18,18,2,6,18,6,18,2,6,6,6,6,2,2,6,6,2,6,6,18,6,6,18,6,6,2,
18,6,2,2,2,2,2,18,18,2,6,6,6,18,6,2,2,2,18,18,2,2,2,24,8,24,24,8,24,4,36,12,4,
4,36,36,36,12,4,4,4,36,12,4,36,12,4,4,12,36,4,12,4,4,4,12,36,4,4,12,4,12,4,12,
4,12,12,4,4,12,12,4,4,4,4,12,12,36,4,12,12,4,36,12,36,12,12,12,12,12,12,12,4,
12,4,4,4,4,12,12,12,12,12,12,12,4,12,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,12,4,4,4,4,12,4,12,4,12,12,12,4,12,4,4,4,12,4,12,4,4,12,4,4,
4,12,12,36,12,36,4,12,12,4,4,4,4,4,4,4,4,12,12,4,4,12,12,4,36,4,4,36,4,12,12,
4,4,12,12,4,4,12,12,4,12,36,12,36,36,36,36,4,4,36,12,4,4,12,4,12,4,12,4,4,12,
4,4,4,4,12,4,4,4,4,4,36,36,4,4,12,36,4,4,4,12,12,12,12,48,8,24,24,24,24,8,8,8,
8,8,8,24,24,24,8,8,8,8,8,8,8,8,8,8,8,24,24,8,24,8,8,24,8,8,72,24,24,24,8,24,8,
8,8,8,8,8,24,8,8,8,8,8,8,8,24,8,8,8,8,8,8,24,24,8,24,8,8,8,8,8,8,24,8,8,8,24,
8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,24,24,8,8,8,8,8,8,8,
8,24,8,8,8,8,8,8,8,24,8,8,8,8,8,8,24,8,8,8,8,24,24,8,8,8,24,8,24,8,8,8,8,8,24,
8,8,8,16,16,16,16,1,2,3,3,1,1,3,6,6,6,3,9,9,3,9,9,9,3,3,3,3,1,3,3,9,9,1,3,3,3,
3,3,3,1,1,4,4,4,4,4,4,2,2,2,2,6,2,2,6,18,2,6,2,2,6,2,18,2,6,2,18,2,6,2,2,6,18,
6,6,2,2,6,2,2,6,18,2,2,6,2,2,2,2,2,2,2,6,6,6,6,6,2,2,6,6,6,2,6,2,6,2,2,6,2,6,
2,6,2,6,18,18,6,6,18,2,6,2,2,6,2,6,2,6,6,18,18,2,2,18,6,2,2,2,6,6,6,2,6,6,2,2,
2,2,6,6,18,6,2,2,2,6,6,2,6,2,6,2,18,6,2,18,2,6,2,18,6,2,6,4,4,4,4,4,4,4,4,4,4,
4,12,36,12,12,12,12,4,4,4,36,4,12,4,12,36,4,12,12,4,4,4,4,4,4,12,4,4,4,4,12,4,
4,4,4,4,4,4,12,4,4,12,12,12,4,4,4,36,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,36,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,36,4,4,4,4,12,
4,4,4,12,4,36,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,
4,4,4,4,12,4,4,12,12,4,4,4,4,4,4,4,12,4,4,12,4,4,4,12,4,4,4,4,4,36,12,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,24,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,1,1,1,1,
3,2,6,2,1,1,3,3,3,3,1,3,1,3,3,9,9,1,3,3,3,3,3,3,1,3,3,1,3,3,3,3,3,1,6,6,2,2,2,
2,6,2,2,2,2,2,2,6,6,18,2,2,2,2,6,2,6,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,6,
2,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,6,6,2,6,6,2,2,2,2,2,2,2,
6,2,2,2,2,6,2,6,2,18,6,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,6,2,6,2,2,6,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,1,1,1,1,
3,1,1,3,3,1,1,3,3,3,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,3,1,1,1,2,2,2,2,2,2,6,6,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,
144,16,8,16,1,6,6,18,72,144,16,8,32,8,8,16,32,96,48,48,96,96,96,96,2,6,6,9,12,
12,18,18,36,36,36,72,72,72,16,16,8,16,48,24,48,24,48,48,48,48,96,96,192,96,96,
2,3,3,9,18,18,18,36,36,36,36,36,36,72,72,16,16,16,32,32,2,8,12,8,8,12,24,24,
24,48,24,24,24,48,48,48,6,9,9,9,18,18,18,36,36,16,16,16,32,32,8,2,12,12,12,8,
8,12,12,12,24,24,24,24,24,24,24,48,24,24,1,9,9,18,18,8,16,12,6,12,24,12,24,24,
9,8,8,8,1,1,2,6,6,8,3,3,6,1,1],[1,1,2,24,16,8,16,1,6,6,12,12,18,16,8,32,32,8,
8,16,32,96,2,6,6,9,12,12,12,18,18,36,36,16,16,16,16,8,16,24,24,48,48,2,3,3,9,
12,12,18,18,18,36,36,16,32,32,2,8,12,16,8,8,12,24,24,48,3,6,9,9,18,18,16,16,
16,8,2,12,12,12,8,8,12,12,12,1,9,9,8,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,1,2,24,
16,8,16,1,6,6,18,12,12,16,8,32,8,8,16,32,32,96,2,6,6,9,12,12,12,18,18,36,36,
16,16,8,16,16,16,48,48,24,24,2,3,3,9,18,12,12,18,18,36,36,16,32,32,2,8,12,8,8,
12,16,48,24,24,6,3,9,9,18,18,16,16,16,8,2,12,12,12,8,8,12,12,12,1,9,9,8,16,12,
6,12,3,8,1,1,2,1,3,1,1],[1,1,2,144,4,20,16,1,3,3,3,3,18,72,144,4,20,8,20,20,
16,32,48,48,48,48,144,96,144,1,1,3,3,3,3,9,12,12,36,36,18,36,18,36,36,36,36,
36,36,16,4,20,12,12,16,24,12,24,12,48,72,48,72,144,96,96,144,96,1,1,3,3,9,9,9,
18,18,36,18,18,18,36,18,36,36,36,36,36,36,16,16,16,32,32,4,1,5,4,4,12,4,4,12,
12,12,12,12,12,24,12,12,12,12,24,12,12,12,24,72,48,3,3,9,9,18,9,9,9,18,18,18,
18,18,16,16,16,32,32,5,1,4,4,4,12,4,4,12,12,12,12,12,12,12,12,12,12,24,12,12,
12,36,12,12,12,12,12,12,12,12,12,1,9,9,9,9,9,9,4,4,16,3,3,12,12,18,12,6,12,12,
12,12,9,4,4,4,4,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,1,2,36,48,72,64,1,3,3,
6,6,18,18,24,24,36,36,36,48,72,96,144,144,144,288,64,128,128,1,2,3,3,6,6,9,9,
12,12,12,12,12,12,12,18,18,18,18,18,18,24,24,24,24,24,24,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
144,144,288,288,48,64,64,64,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,12,12,12,
12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,
24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,144,144,144,144,16,32,48,48,64,96,96,96,96,192,3,6,6,
6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,24,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,48,72,72,72,72,72,16,16,16,32,48,48,48,48,48,48,96,96,1,2,3,3,3,3,3,
6,6,6,9,9,9,9,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,12,16,24,48,48,3,3,6,6,9,9,9,9,9,9,9,9,9,18,
18,18,18,18,18,18,18,18,18,36,4,8,12,12,12,12,24,24,1,3,3,9,9,9,9,4,12,12,3,1,
1],[1,1,2,24,36,72,72,16,1,3,3,6,6,12,12,18,18,36,36,36,36,36,48,72,96,144,
144,144,288,288,288,16,32,32,96,1,2,3,3,6,6,9,9,12,12,12,12,18,18,18,18,18,18,
18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,96,144,144,192,288,16,16,16,48,48,48,48,1,2,
3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,24,24,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,8,12,
16,16,48,48,48,48,48,48,48,48,48,96,3,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,
12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,
24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,8,12,12,12,12,12,12,12,16,16,16,24,24,24,24,48,48,
48,48,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,12,
12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,3,3,3,
3,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,12,12,12,12,24,24,24,24,1,9,9,9,9,
9,9,18,18,1,3,3,12,3,1,3,3,1],[1,1,2,8,36,24,72,64,1,3,3,6,6,4,4,18,18,36,12,
36,12,36,48,72,96,144,48,48,96,288,96,64,128,128,1,2,3,3,6,6,9,9,12,12,4,12,6,
18,18,18,18,18,6,6,18,6,24,24,24,24,36,12,36,12,36,36,12,36,12,36,12,12,12,12,
36,12,12,36,36,12,12,36,12,12,36,12,12,12,12,12,48,24,24,72,72,72,24,72,72,24,
24,72,72,24,24,72,24,72,24,24,24,72,72,24,72,32,144,144,64,96,48,64,96,64,64,
1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,4,4,4,4,12,12,4,4,6,18,18,18,18,6,6,6,6,18,18,
18,18,6,18,18,6,18,6,6,18,18,6,18,18,18,18,8,24,24,24,24,8,12,36,12,12,36,12,
12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,36,
12,12,12,36,36,12,12,12,12,12,12,12,12,36,12,12,36,36,12,12,36,36,12,12,12,36,
12,12,12,12,36,12,36,12,48,48,24,72,24,24,24,24,72,24,24,24,72,24,24,72,24,24,
24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
72,24,24,24,24,72,24,24,24,24,72,24,72,72,72,144,144,144,144,16,32,48,48,96,
96,96,32,64,192,64,3,1,6,6,6,6,6,9,3,9,9,3,9,9,9,3,9,9,9,9,4,12,12,12,12,4,6,
18,6,18,6,18,18,6,18,18,18,18,18,6,6,18,6,18,18,6,6,6,18,18,6,18,18,6,6,6,6,6,
18,6,6,18,6,18,18,18,6,6,18,18,18,24,8,24,24,24,36,36,36,36,12,36,12,36,12,36,
12,12,36,12,12,12,12,12,12,36,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,36,12,12,12,36,36,12,12,12,12,36,12,36,36,36,36,
36,12,12,12,12,12,36,36,12,36,12,12,12,12,48,24,24,24,24,24,24,24,24,24,72,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,32,16,48,16,
16,16,48,16,16,96,32,32,96,1,2,3,3,3,6,6,6,3,9,9,3,9,9,9,3,3,3,3,3,3,9,9,3,3,
3,3,4,4,6,18,6,18,6,18,18,6,6,6,18,6,6,6,6,6,6,6,6,6,18,18,6,6,18,6,6,6,6,18,
18,18,6,6,6,6,18,6,18,6,18,6,18,6,6,12,36,12,12,12,36,12,12,36,12,12,12,36,12,
12,36,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,24,24,12,24,16,16,
16,32,1,1,1,3,6,2,3,3,3,3,3,3,9,9,3,3,3,3,3,3,3,6,6,6,18,6,6,6,6,6,6,6,6,6,6,
6,6,18,6,6,6,6,6,12,12,4,8,12,12,4,4,24,24,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[
1,1,2,36,16,72,16,1,3,3,6,6,18,18,8,8,36,36,36,48,72,96,144,48,48,288,16,32,
64,1,2,3,3,6,6,9,9,4,4,12,4,12,4,12,18,18,18,18,18,18,8,8,24,24,24,24,36,36,
36,36,12,36,12,12,36,36,36,36,36,36,12,48,24,72,24,72,24,72,72,72,72,72,72,24,
72,72,72,72,144,144,96,96,16,48,48,32,32,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,4,4,12,
4,4,4,12,4,18,18,18,18,6,6,18,18,18,18,18,18,18,6,18,6,18,18,18,18,18,8,8,24,
24,24,24,12,36,36,12,12,36,12,36,12,12,36,12,12,12,36,36,36,36,12,12,36,36,36,
36,36,36,12,36,12,12,36,12,12,48,48,24,72,24,72,24,24,72,72,24,24,72,24,72,72,
72,24,24,72,72,24,72,144,144,144,144,8,12,16,16,16,16,48,48,16,32,32,3,6,6,6,
6,2,6,9,9,9,9,9,9,9,9,9,9,12,4,4,4,12,4,12,4,12,18,18,18,18,18,18,18,18,18,18,
6,18,18,6,6,18,18,18,6,18,6,6,6,18,18,6,18,6,18,18,6,18,6,18,18,24,24,24,8,24,
36,12,36,36,36,36,36,12,36,36,12,12,12,36,12,36,12,36,12,12,12,12,12,12,12,12,
12,12,36,36,12,12,12,36,36,12,12,12,36,36,36,36,36,36,12,36,36,36,48,24,24,72,
24,24,8,12,12,12,16,24,24,8,8,16,16,16,16,16,16,1,2,3,3,1,1,3,6,6,6,9,9,9,9,9,
9,9,3,3,4,4,4,4,6,18,6,18,18,6,6,18,6,18,6,6,6,6,6,6,18,18,18,6,18,18,18,6,6,
6,6,18,6,6,6,6,18,18,18,36,12,36,36,12,12,12,12,12,36,12,12,36,36,36,36,4,12,
4,12,12,4,4,24,8,24,8,24,16,1,3,2,6,3,9,9,3,3,3,3,3,3,6,6,18,6,6,6,6,6,18,6,
12,1,8,4,4,12,4,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,1,2,36,72,96,64,1,3,3,
6,6,18,18,36,12,36,36,12,48,72,24,96,144,48,48,48,96,288,96,64,128,64,64,128,
1,2,3,3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,12,36,12,
36,12,36,12,36,36,36,36,48,24,72,24,72,24,24,24,24,24,72,24,72,72,72,24,72,72,
24,24,72,24,72,72,72,48,48,48,48,144,48,48,48,48,48,48,144,48,96,96,96,96,96,
96,48,64,96,64,64,128,128,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,18,
18,6,18,18,18,18,18,6,18,6,18,18,18,6,18,18,24,24,24,24,12,12,36,36,36,36,12,
36,12,12,36,12,36,36,36,12,12,12,36,36,12,36,12,36,36,12,36,12,36,12,12,12,36,
12,12,48,48,24,72,24,72,24,72,72,24,24,24,72,24,24,24,24,24,24,24,72,24,24,24,
72,24,24,24,24,24,72,24,24,24,72,72,24,24,24,72,24,48,48,48,48,48,48,48,48,48,
48,48,48,48,144,48,48,144,48,144,48,48,48,48,48,144,48,16,32,48,48,16,16,96,
96,96,32,192,64,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,6,18,18,18,18,6,
18,6,18,18,18,18,18,6,6,18,18,18,18,18,18,6,6,6,18,18,6,18,18,18,6,18,6,18,18,
6,24,24,24,24,36,36,36,36,36,36,12,36,12,36,12,12,12,12,12,12,36,12,36,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,36,12,
36,12,12,36,36,36,36,36,36,12,12,12,12,12,36,36,36,12,12,48,24,24,24,24,24,24,
24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,16,32,48,16,48,16,16,16,16,16,32,32,96,32,32,32,96,32,1,
2,3,3,3,6,6,6,9,9,9,9,9,3,9,9,3,3,3,6,18,6,6,18,18,6,6,6,18,6,6,18,6,6,6,6,6,
6,6,18,18,18,6,18,18,6,18,6,6,6,6,18,18,18,6,18,12,12,12,12,36,12,36,36,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,36,12,12,12,
12,12,12,12,12,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,12,24,16,16,16,32,
32,3,6,3,3,3,3,9,9,3,3,3,3,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,4,8,12,12,4,4,24,8,24,8,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,
3,1,1],[1,1,2,12,16,48,24,16,1,1,1,6,6,18,6,8,8,12,12,24,12,24,12,12,24,24,48,
48,96,16,32,64,64,2,1,6,6,3,9,4,12,4,12,6,6,6,12,6,12,8,8,12,12,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,12,24,12,12,24,24,24,24,24,24,24,24,48,24,
24,24,24,24,48,24,24,24,24,24,24,24,24,48,48,16,16,16,32,32,32,32,2,3,3,9,3,3,
3,3,4,4,4,6,6,6,6,6,18,6,12,6,6,6,12,6,6,6,6,6,8,8,8,8,24,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,12,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,24,24,24,48,24,24,24,24,24,24,24,24,24,24,8,12,16,16,16,
32,16,16,16,16,32,32,32,1,2,6,2,2,6,3,3,3,6,9,3,3,4,4,6,12,6,6,6,6,6,6,6,6,6,
6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,8,4,
12,4,8,8,8,8,16,8,8,16,16,16,16,16,16,16,16,1,1,3,3,6,3,3,3,3,6,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,8,16,8,8,8,8,8,
16,1,2,3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,4,4,4,4,8,8,1,
3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,2,24,12,16,24,24,96,16,1,1,1,6,6,12,12,18,
6,8,8,12,12,12,12,12,24,48,48,48,48,48,96,96,96,192,192,16,32,32,32,64,64,64,
2,1,6,6,3,9,4,12,4,12,12,18,6,6,6,18,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
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,
48,48,48,48,96,96,16,16,16,16,16,16,16,32,32,32,32,128,128,128,2,3,3,9,3,3,3,
3,12,12,4,4,4,6,6,6,6,18,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,8,8,8,8,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
48,48,48,48,48,48,48,48,8,12,16,16,16,16,16,16,16,16,16,16,16,32,32,32,32,32,
32,32,32,32,32,32,32,1,3,2,6,2,2,3,3,9,3,3,3,9,3,3,4,4,6,6,6,6,6,6,6,6,6,18,6,
6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,8,4,12,4,12,4,12,4,8,8,
8,8,8,8,8,8,16,16,16,16,16,16,16,32,32,32,32,32,1,1,3,3,3,9,3,9,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,4,4,4,
4,4,4,4,4,4,4,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,3,1,2,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,1,4,4,4,4,
4,4,4,8,8,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,36,
72,96,16,1,3,3,6,6,18,18,36,12,36,36,12,48,72,24,96,144,48,48,48,96,288,96,16,
32,64,64,1,2,3,3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,
12,36,12,36,12,36,12,36,36,36,36,48,24,72,24,72,24,24,24,24,24,72,24,72,72,72,
24,72,72,24,24,72,24,72,72,72,48,48,48,48,144,48,48,48,48,48,48,144,48,96,96,
96,96,96,96,16,48,48,32,32,128,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,
18,18,18,6,18,18,18,18,18,6,18,6,18,18,18,6,18,18,24,24,24,24,12,12,36,36,36,
36,12,36,12,12,36,12,36,36,36,12,12,12,36,36,12,36,12,36,36,12,36,12,36,12,12,
12,36,12,12,48,48,24,72,24,72,24,72,72,24,24,24,72,24,24,24,24,24,24,24,72,24,
24,24,72,24,24,24,24,24,72,24,24,24,72,72,24,24,24,72,24,48,48,48,48,48,48,48,
48,48,48,48,48,48,144,48,48,144,48,144,48,48,48,48,48,144,48,8,12,16,16,16,16,
48,16,48,32,32,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,12,6,18,18,18,18,6,18,
6,18,18,18,18,18,6,6,18,18,18,18,18,18,6,6,6,18,18,6,18,18,18,6,18,6,18,18,6,
24,24,24,24,36,36,36,36,36,36,12,36,12,36,12,12,12,12,12,12,36,12,36,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,36,12,36,
12,12,36,36,36,36,36,36,12,12,12,12,12,36,36,36,12,12,48,24,24,24,24,24,24,24,
72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,48,48,48,48,8,12,12,12,16,24,24,8,8,16,16,16,16,16,16,32,1,2,3,3,3,6,6,
6,9,9,9,9,9,3,9,9,3,3,3,6,18,6,6,18,18,6,6,6,18,6,6,18,6,6,6,6,6,6,6,18,18,18,
6,18,18,6,18,6,6,6,6,18,18,18,6,18,12,12,12,12,36,12,36,36,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,36,12,12,12,12,12,12,12,
12,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,4,4,4,4,12,12,12,24,8,24,8,24,
16,16,3,6,3,3,3,3,9,9,3,3,3,3,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,1,8,4,4,12,4,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,3,2,4,8,
3,1,1,1,1],[1,1,2,12,48,24,96,16,1,1,1,6,6,18,6,12,24,12,24,12,24,48,48,48,48,
48,96,96,96,16,32,64,64,64,2,1,6,6,3,9,4,4,12,12,6,6,6,12,6,12,12,12,24,12,12,
12,12,12,12,12,12,12,12,24,24,12,24,12,24,24,24,24,24,24,24,24,24,24,48,24,24,
24,48,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,96,96,16,16,16,32,32,32,32,
128,2,3,3,9,3,3,3,3,4,4,4,6,6,6,6,6,6,6,18,12,6,6,6,12,6,6,6,6,8,8,12,12,24,
12,24,12,12,12,12,12,12,12,12,24,12,12,24,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,48,24,24,24,48,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,8,12,16,16,16,32,16,16,16,16,32,32,32,1,2,6,2,6,3,3,3,6,
9,3,3,4,4,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,8,4,12,4,8,8,8,8,16,8,8,16,16,16,
16,16,16,16,16,32,1,1,3,3,6,3,3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,8,16,8,8,8,8,8,16,16,1,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,
3,2,1,2,4,3,1,1,1,1],[1,1,2,24,12,24,24,16,1,1,1,6,6,12,12,18,6,12,12,12,12,
12,12,12,24,24,48,48,96,16,32,32,32,2,1,6,6,3,9,4,4,12,12,12,18,6,6,6,18,6,6,
6,12,12,12,12,12,12,12,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,16,16,16,16,16,16,
16,2,3,3,9,3,3,3,3,4,12,12,4,4,6,6,6,6,18,6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,8,
8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,8,12,
16,16,16,16,16,16,16,16,16,16,16,1,3,2,6,2,3,3,9,3,3,3,9,3,3,4,4,6,6,6,6,6,6,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,8,4,
12,4,12,4,12,4,8,8,8,8,16,16,16,16,16,16,16,1,1,3,3,3,9,3,9,3,3,3,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,12,8,8,8,8,8,8,8,16,3,1,
3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,
3,1,1,1,4,3,1,1,1,1],[1,1,2,36,72,96,16,1,3,3,6,6,18,18,36,12,36,36,12,48,72,
24,96,144,48,48,48,96,288,96,16,16,16,64,64,1,2,3,3,6,6,9,9,12,12,12,18,18,18,
18,18,18,24,24,24,24,36,36,36,36,12,36,12,36,12,36,12,36,36,36,36,48,24,72,24,
72,24,24,24,24,24,72,24,72,72,72,24,72,72,24,24,72,24,72,72,72,48,48,48,48,
144,48,48,48,48,48,48,144,48,96,96,96,96,96,96,16,48,48,32,32,64,64,1,2,3,3,3,
6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,6,18,18,18,18,18,6,18,6,18,18,18,
6,18,18,24,24,24,24,12,12,36,36,36,36,12,36,12,12,36,12,36,36,36,12,12,12,36,
36,12,36,12,36,36,12,36,12,36,12,12,12,36,12,12,48,48,24,72,24,72,24,72,72,24,
24,24,72,24,24,24,24,24,24,24,72,24,24,24,72,24,24,24,24,24,72,24,24,24,72,72,
24,24,24,72,24,48,48,48,48,48,48,48,48,48,48,48,48,48,144,48,48,144,48,144,48,
48,48,48,48,144,48,4,4,12,16,48,16,16,48,16,16,32,32,3,6,6,6,6,6,9,9,9,9,9,9,
9,9,9,9,12,12,12,12,6,18,18,18,18,6,18,6,18,18,18,18,18,6,6,18,18,18,18,18,18,
6,6,6,18,18,6,18,18,18,6,18,6,18,18,6,24,24,24,24,36,36,36,36,36,36,12,36,12,
36,12,12,12,12,12,12,36,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,36,12,12,12,12,12,36,12,36,12,12,36,36,36,36,36,36,12,12,12,12,12,
36,36,36,12,12,48,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,4,4,12,12,12,16,24,
24,8,8,16,16,16,16,16,16,16,16,1,2,3,3,3,6,6,6,9,9,9,9,9,3,9,9,3,3,3,6,18,6,6,
18,18,6,6,6,18,6,6,18,6,6,6,6,6,6,6,18,18,18,6,18,18,6,18,6,6,6,6,18,18,18,6,
18,12,12,12,12,36,12,36,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,36,12,12,
12,12,36,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,24,24,24,
24,24,24,24,24,4,4,12,4,4,12,12,12,12,8,8,24,8,24,8,16,3,6,3,3,3,3,9,9,3,3,3,
3,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,1,4,
4,4,4,4,4,4,12,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,1,1],[1,1,2,36,
72,16,32,64,1,3,3,6,6,18,18,36,36,36,48,72,96,144,288,16,32,32,32,32,64,128,1,
2,3,3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,
36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,144,144,64,16,32,48,48,48,64,
96,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,48,48,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,64,128,8,8,8,12,16,
16,24,32,32,48,48,48,48,96,96,96,96,96,192,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,
12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,48,72,64,8,8,8,12,12,12,16,16,24,24,24,24,24,32,32,48,48,48,48,96,96,
1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,
36,36,36,36,36,36,36,16,32,12,12,12,12,24,24,24,24,24,24,24,24,24,48,48,3,6,9,
9,18,18,16,32,1,2,4,8,8,8,8,12,12,12,24,24,24,1,3,6,4,8,1,1,2,1],[1,1,2,24,24,
144,16,8,16,1,6,6,12,12,18,12,12,72,144,288,16,8,32,32,8,8,16,32,32,96,96,48,
48,96,96,96,96,96,2,6,6,9,12,12,12,18,18,12,18,36,18,36,18,18,36,36,36,36,36,
72,72,72,72,72,72,72,16,16,16,16,8,16,16,16,48,48,48,24,48,24,48,48,48,48,48,
48,192,96,96,96,96,192,96,96,2,3,3,9,12,12,18,18,18,12,12,18,18,18,18,36,36,
18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,
72,16,16,16,32,32,32,32,2,8,12,16,8,8,12,16,48,24,48,48,24,48,24,48,24,24,48,
24,48,48,48,48,48,48,48,48,3,6,3,9,9,9,18,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,36,36,36,36,36,36,36,36,36,36,16,16,16,16,16,16,16,32,32,32,32,8,
2,12,12,12,12,12,12,12,8,8,12,12,12,12,12,12,12,24,24,48,24,24,24,24,24,48,24,
24,48,1,9,9,9,9,9,9,18,18,18,18,18,18,18,18,8,16,16,16,16,16,16,16,12,12,12,
12,12,12,12,6,12,12,12,12,12,12,12,24,12,24,24,3,3,9,9,9,9,9,8,8,8,16,1,1,2,6,
12,6,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,2,8,36,48,24,72,96,64,1,3,3,6,6,
4,4,18,18,24,24,36,12,12,36,12,36,12,48,72,24,96,144,144,48,48,48,144,48,48,
96,96,288,96,96,192,192,64,128,128,64,64,128,128,1,2,3,3,6,6,9,9,12,12,12,12,
12,12,4,12,6,18,18,18,18,18,6,6,18,6,24,24,24,24,24,24,36,12,36,12,36,36,12,
12,36,36,36,12,12,36,36,12,12,12,12,12,36,12,12,12,36,36,12,12,36,12,12,36,12,
12,36,12,12,12,48,24,72,24,24,72,72,24,72,24,72,24,24,24,24,72,24,24,72,72,24,
24,72,24,72,24,24,72,24,72,24,24,72,24,24,24,24,72,72,24,72,32,48,48,48,48,48,
48,48,144,48,48,48,48,48,48,48,48,48,48,48,48,144,48,48,48,48,64,96,96,96,96,
96,96,96,288,96,96,96,288,96,48,64,64,64,96,64,64,64,64,128,128,128,128,1,2,3,
3,3,6,6,6,9,9,9,9,9,9,9,12,12,4,4,4,4,12,12,12,12,12,4,12,4,6,18,18,18,18,6,6,
18,6,6,18,18,18,6,18,18,6,18,18,6,18,18,6,6,6,18,6,18,18,6,18,18,6,18,18,24,
24,8,24,24,24,24,8,12,12,12,36,36,12,12,36,12,12,12,12,36,12,12,12,12,12,12,
36,36,36,12,12,12,12,36,36,12,12,36,36,12,36,12,12,12,12,12,36,36,36,12,12,12,
12,12,12,36,12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,
12,36,12,36,12,12,12,36,36,12,12,12,12,12,36,12,12,12,12,36,12,12,36,12,12,36,
12,12,12,36,36,12,36,36,12,12,12,48,48,72,24,24,24,72,24,24,24,24,24,24,72,24,
72,72,24,24,24,72,24,24,72,24,24,24,24,72,24,24,24,24,24,24,24,72,24,24,24,24,
24,24,24,24,24,24,24,72,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,72,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,72,24,24,24,72,72,24,
24,72,24,24,24,24,72,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,144,
48,48,144,48,48,144,48,48,48,48,48,48,48,144,48,96,96,96,96,16,32,48,48,16,16,
64,96,96,96,96,32,32,64,192,64,64,64,64,64,64,3,1,6,6,6,6,6,6,9,3,9,9,3,9,9,9,
3,9,9,9,9,4,12,12,12,12,12,12,12,12,12,4,6,6,6,18,6,18,6,6,18,18,6,6,18,6,18,
18,18,18,6,6,18,6,6,6,6,18,6,6,18,18,18,6,6,18,6,18,18,6,6,18,18,18,6,6,6,18,
18,6,6,6,6,6,18,6,18,6,6,18,6,18,6,18,18,6,6,6,6,6,18,18,6,6,18,6,18,18,6,6,6,
18,18,6,6,6,24,8,24,24,24,24,12,36,36,12,12,36,36,36,12,12,12,12,36,12,12,36,
36,12,12,12,36,12,12,12,12,12,12,36,12,12,12,12,36,12,36,12,36,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,36,12,36,36,36,36,12,12,36,36,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,36,12,36,12,36,12,36,36,12,12,12,12,12,12,12,
12,12,36,12,12,12,12,12,36,12,12,36,12,12,12,12,12,36,12,12,12,36,12,12,36,36,
12,36,36,36,36,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,
12,12,12,36,36,12,12,12,36,12,12,12,12,12,12,12,48,24,24,24,24,72,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,72,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,16,16,16,32,16,48,16,16,16,16,48,
48,16,16,16,48,16,48,16,16,16,48,32,32,32,32,96,32,32,32,32,32,96,32,64,1,2,3,
3,3,3,3,6,6,6,3,9,9,3,9,9,9,3,3,3,3,3,3,3,9,9,3,3,3,3,9,3,9,3,3,4,12,12,12,4,
12,6,6,6,6,6,6,6,18,18,6,18,6,6,6,6,18,6,6,6,18,6,18,6,6,18,18,6,6,6,6,18,6,6,
6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,18,6,6,6,6,6,6,18,6,6,6,6,18,6,18,6,18,6,6,
18,18,6,6,18,6,18,6,6,6,6,6,6,6,6,18,18,6,6,18,6,6,6,6,6,6,18,6,6,18,6,6,6,6,
18,18,18,18,6,6,6,18,18,6,6,6,18,6,18,6,6,18,6,6,6,18,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,36,12,12,12,12,12,36,12,12,12,12,36,12,36,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,36,12,12,36,12,36,12,12,12,36,
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,
12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,
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,
24,24,12,16,24,16,16,16,16,16,16,16,16,16,48,16,16,16,16,16,16,48,16,16,16,32,
32,32,3,1,1,1,3,6,6,2,3,3,9,3,3,3,3,3,3,3,3,9,9,3,9,9,9,3,3,9,3,9,3,3,9,3,3,3,
3,3,6,6,6,6,6,6,18,6,6,6,6,6,6,6,18,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,18,6,6,
18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,18,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,12,12,4,4,4,12,4,12,24,8,24,8,
16,16,16,1,3,3,3,9,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,9,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,12,4,4,4,4,4,
12,4,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,2,24,36,16,
72,72,96,16,1,3,3,6,6,12,12,18,18,8,8,36,12,36,36,36,36,12,48,72,24,96,144,48,
144,144,48,48,48,48,288,96,288,288,96,192,192,16,32,32,96,64,64,64,1,2,3,3,6,
6,9,9,4,4,12,4,12,4,12,12,18,18,18,18,18,18,18,18,18,18,8,8,24,24,24,24,36,36,
36,36,36,36,36,12,12,36,12,12,36,12,36,36,36,36,36,12,36,36,12,36,36,36,36,36,
36,36,36,36,36,36,12,36,36,36,48,72,24,72,24,72,24,24,72,24,24,24,24,24,24,72,
72,24,72,72,72,72,72,24,72,72,72,72,24,24,24,72,72,72,72,24,72,72,72,72,72,96,
48,48,48,48,48,48,48,144,48,48,48,48,48,48,48,48,48,48,48,48,144,48,48,48,48,
192,96,96,96,288,96,96,96,96,96,96,96,96,96,16,16,16,48,48,48,48,32,32,32,32,
128,128,128,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,4,4,12,12,12,12,12,4,4,4,12,12,4,12,
18,18,18,18,18,18,18,6,18,18,6,18,18,6,18,18,18,18,18,18,18,6,6,18,18,18,6,6,
18,18,18,18,6,18,18,8,8,24,24,24,24,24,24,12,12,36,12,36,36,36,36,36,36,36,36,
12,36,36,36,36,12,36,12,36,12,36,36,36,36,36,12,36,12,12,36,12,12,12,36,36,36,
36,12,12,36,36,12,36,36,36,12,36,36,36,36,36,36,12,12,36,36,36,12,36,36,36,36,
12,36,12,36,36,36,12,12,36,12,36,12,36,36,36,36,36,12,36,36,12,36,36,12,36,36,
12,36,12,36,36,12,12,12,12,12,12,36,36,12,12,12,12,12,48,48,24,24,72,24,72,72,
72,72,24,72,24,24,24,72,24,24,72,72,24,24,72,72,24,24,72,72,72,72,24,72,24,72,
72,24,24,72,72,72,72,24,24,24,24,24,24,72,24,24,24,24,72,72,24,72,72,24,24,24,
24,72,72,72,24,72,24,72,72,72,24,72,72,24,24,24,24,24,72,72,24,24,24,72,72,72,
24,24,72,24,24,24,24,24,24,72,24,72,72,24,24,72,24,72,24,72,24,72,24,24,72,72,
24,72,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,72,24,72,72,24,24,24,24,24,24,24,72,24,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,144,48,48,144,48,48,144,48,48,48,48,48,48,48,144,48,96,96,96,
96,8,12,16,16,16,16,48,16,16,16,16,48,48,48,48,48,16,48,48,48,16,32,32,32,32,
32,32,32,96,32,32,32,32,32,3,3,6,6,6,6,2,6,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,4,
4,4,12,4,12,4,12,12,6,6,18,18,18,18,18,6,18,18,18,6,18,6,18,18,18,18,18,18,18,
6,6,6,6,6,18,6,18,18,6,18,18,6,18,18,18,6,18,18,6,18,6,18,18,6,6,6,6,18,18,6,
6,18,18,18,18,18,18,6,6,18,6,6,6,6,6,6,18,18,6,18,6,18,18,6,6,6,6,18,18,6,6,6,
24,24,24,24,8,24,12,36,12,12,12,36,36,36,36,12,12,12,36,36,12,36,12,12,12,36,
36,12,36,12,12,12,36,36,12,12,36,12,12,12,12,12,12,36,12,12,36,36,12,12,12,12,
36,36,36,12,36,12,12,36,12,36,12,36,36,12,12,12,36,12,36,12,12,12,12,36,36,36,
36,36,36,36,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,36,36,12,36,12,12,12,36,12,
36,12,12,36,12,12,12,12,36,36,36,36,12,12,12,12,12,12,12,12,12,12,12,36,12,12,
12,36,36,12,36,12,12,36,12,36,36,12,12,12,36,12,12,12,36,12,12,36,36,36,36,36,
36,12,12,36,36,12,12,36,12,36,12,36,12,12,36,12,12,12,12,12,12,12,12,12,12,36,
36,12,12,36,36,12,12,12,36,36,36,36,48,24,72,72,72,24,24,24,24,24,24,24,72,72,
72,24,24,24,24,24,24,24,24,24,24,24,72,72,24,24,24,24,72,24,24,72,72,72,72,24,
72,24,24,24,24,24,24,72,24,24,24,24,24,24,24,72,24,24,24,24,24,24,72,72,24,72,
24,24,24,24,24,24,72,24,24,24,72,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,
24,24,24,24,24,24,24,72,24,24,24,24,72,72,24,24,24,24,24,24,24,24,72,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,72,72,24,24,24,72,24,72,24,24,
24,24,24,72,24,24,24,48,48,48,48,8,12,12,12,12,12,12,12,16,16,16,24,24,24,8,8,
8,8,24,48,16,16,48,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,48,16,
16,16,48,16,16,16,16,16,16,32,32,32,32,32,1,2,3,3,1,1,3,6,6,6,9,9,9,9,9,9,9,9,
9,9,9,3,9,9,9,9,3,9,9,9,3,9,3,3,3,12,4,4,4,12,4,6,6,6,6,18,6,6,6,18,6,6,6,6,
18,6,18,6,18,6,18,6,6,6,6,6,18,18,18,6,6,6,6,6,18,18,6,6,18,6,6,6,6,6,6,6,18,
6,18,18,6,6,6,18,18,18,6,6,6,18,6,6,6,6,6,6,6,6,18,18,18,18,18,18,6,6,6,6,18,
6,18,6,18,18,18,18,6,6,18,18,6,6,6,18,18,6,6,18,6,6,6,6,6,6,6,18,6,6,6,6,6,6,
6,18,6,6,6,18,18,6,18,6,18,6,18,18,6,18,12,12,12,12,12,12,12,12,12,12,12,36,
36,36,12,36,36,12,12,12,36,12,36,12,36,36,12,12,36,12,12,12,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,
36,36,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,36,
12,36,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,36,36,12,12,12,12,12,12,12,36,12,12,36,
12,12,12,36,12,12,12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,72,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,4,12,12,12,
4,4,12,4,4,12,4,12,12,12,12,4,4,12,12,16,8,24,8,24,8,24,8,8,8,8,24,24,24,24,8,
8,8,24,24,8,24,24,24,24,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,1,3,3,
3,3,2,6,6,3,3,3,9,9,9,3,9,3,9,9,9,9,3,3,3,3,9,9,3,3,3,9,3,3,9,9,9,9,3,18,18,6,
6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,18,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,
6,6,6,18,6,18,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,6,
18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,18,18,6,6,6,6,6,6,6,18,6,6,18,6,6,6,6,6,
6,6,6,18,6,18,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,1,8,4,4,4,12,4,12,4,4,12,4,4,4,4,
4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,12,4,4,12,24,24,8,8,8,8,24,8,8,24,16,1,
1,1,3,3,3,3,9,3,3,3,9,9,9,3,9,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,3,3,2,2,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,
1],[1,1,2,36,48,72,16,32,64,1,3,3,6,6,18,18,24,24,36,36,36,48,72,96,144,144,
144,288,16,32,32,32,32,64,128,128,192,1,2,3,3,6,6,9,9,12,12,12,12,12,12,12,18,
18,18,18,18,18,24,24,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,288,288,64,16,32,
48,48,48,64,64,64,96,96,96,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,12,12,12,
12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,
24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,144,144,144,144,64,128,128,8,8,8,12,16,16,24,32,32,48,
48,48,48,48,48,48,48,64,96,96,96,96,96,96,96,96,192,3,6,6,6,6,6,6,9,9,9,9,9,9,
9,9,9,9,12,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,24,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,72,72,72,
72,72,64,64,64,8,8,8,12,12,12,16,16,16,16,24,24,24,24,24,24,24,32,32,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,96,96,1,2,3,3,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,
12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,16,32,64,12,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,48,3,3,6,6,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,36,16,
16,16,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,1,3,3,9,9,9,
9,16,3,4,6,6,12,12,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,1,2,24,36,72,72,16,32,64,
1,3,3,6,6,12,12,18,18,36,36,36,36,36,48,72,96,144,144,144,288,288,288,16,32,
32,32,32,32,64,96,128,384,1,2,3,3,6,6,9,9,12,12,12,12,18,18,18,18,18,18,18,18,
18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,96,144,144,192,288,64,16,16,16,32,48,48,48,48,48,
64,96,96,96,192,192,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,12,12,12,12,12,12,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
24,24,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,144,144,144,144,64,128,128,8,8,8,12,16,16,16,24,32,32,48,48,48,48,48,48,48,
48,48,48,48,96,96,96,96,96,96,96,192,192,192,3,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,
9,9,9,9,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,24,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,64,64,64,8,8,8,12,12,12,12,12,12,12,16,16,
16,16,24,24,24,24,24,24,24,32,32,48,48,48,48,48,48,48,48,48,48,48,48,48,48,96,
96,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,
16,32,64,12,12,12,12,12,12,12,12,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,48,48,48,48,48,96,3,3,3,3,6,6,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
36,36,16,16,16,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,1,9,9,9,9,9,9,18,18,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,
1,1],[1,1,2,36,72,288,16,32,64,1,3,3,6,6,18,18,36,36,36,36,36,48,72,72,96,144,
144,144,144,288,288,288,16,32,32,32,32,64,128,192,192,192,192,384,384,384,1,2,
3,3,6,6,9,9,12,12,12,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,144,144,288,288,
288,288,288,288,64,16,32,48,48,48,64,96,96,96,96,96,192,192,192,192,384,384,
384,384,384,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,64,64,64,
128,128,8,8,8,12,16,16,24,32,32,48,48,48,48,48,48,48,48,48,48,96,96,96,96,96,
96,96,96,96,96,96,96,192,192,192,192,3,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,12,12,12,
12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,64,64,64,128,128,8,8,8,
12,12,12,16,16,24,24,24,24,24,24,24,32,32,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,1,2,3,3,
3,6,6,6,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,16,
32,64,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,
48,48,48,48,48,48,48,48,48,48,96,96,96,3,6,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,16,
16,16,32,32,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,32,3,6,6,12,
12,12,12,12,24,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,1,2,24,36,
48,72,72,288,16,32,64,1,3,3,6,6,12,12,18,18,24,24,36,36,36,36,36,36,36,48,72,
72,96,144,144,144,144,144,144,144,144,288,288,288,288,288,576,576,16,32,32,32,
32,32,64,96,128,128,192,192,192,192,192,384,384,384,384,1,2,3,3,6,6,9,9,12,12,
12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,24,24,24,24,24,24,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,96,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,192,288,288,288,288,288,288,288,288,288,288,288,288,288,
64,16,16,16,32,48,48,48,48,48,64,64,64,96,96,96,96,96,96,96,192,192,192,192,
192,192,384,384,384,384,384,384,384,384,384,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,24,24,
24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,48,48,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,288,288,
288,288,64,64,64,128,128,128,128,8,8,8,12,16,16,16,24,32,32,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,64,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,192,192,192,192,192,192,192,192,
192,192,3,3,6,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,12,12,12,12,12,12,12,
12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,24,24,24,24,24,24,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,64,64,64,64,64,
64,64,128,128,128,128,8,8,8,12,12,12,12,12,12,12,16,16,16,16,16,16,24,24,24,
24,24,24,24,24,24,24,24,32,32,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,192,1,2,3,3,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,12,12,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,16,32,64,64,64,
64,64,64,64,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,
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,
24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,96,96,
96,96,3,3,3,3,3,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,
16,16,16,16,16,16,32,32,32,64,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,48,48,48,48,1,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,16,16,16,16,16,16,16,32,1,3,3,4,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,1,1,2,3,3,3,3,3,3,6,6,6,6,12,12,
12,12,9,4,4,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1]],
[1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,18,18,18,18,18,18,18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,
36,36,36,36,36,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,144,144,144,144,144,144,144,
144,144,144,144,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,288,288,288,288,288,288,288,288,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,
576,576,576,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,1024,1152,1152,1152,1152,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,2304,2304,3072,3072,4608,4608,4608,9216],
[2254,2254,2253,2166,2144,2067,1970,1984,1055,2213,2153,2005,2254,2250,2250,
2246,2246,2229,2229,2199,2199,2175,2175,2138,2144,2133,2138,2133,2096,2144,
2082,1933,1832,1800,1676,1677,1677,1548,1368,1548,1676,1672,1138,1062,1062,
1169,845,510,510,2213,2153,2150,2152,2153,2153,2005,1763,1700,1697,1285,1301,
1308,1308,1287,690,694,692,690,2254,2253,2250,2250,2246,2246,2231,2231,2227,
2227,2229,2227,2229,2227,2229,2227,2199,2199,2196,2199,2201,2199,2199,2199,
2209,2199,2175,2175,2189,2193,2193,2178,2096,2133,2138,2096,2142,2133,2133,
2144,2139,2138,2139,2101,2133,2101,2132,2133,2133,2132,2133,2101,2096,2133,
2144,2133,2096,2138,2096,2133,2133,2133,2133,2096,2133,2133,2101,2133,2133,
2132,2061,1805,1866,1805,1883,1933,1935,1832,1805,1936,1908,1935,1866,1905,
1908,1969,1855,1832,1964,1855,1805,1805,1964,1854,1964,1805,1805,1933,1883,
1908,1854,1805,1969,1805,1805,1906,1805,1933,1933,1805,1900,1793,1556,1483,
1677,1593,1518,1548,1548,1316,1368,1676,1677,1482,1368,1672,1556,1368,1670,
1676,1368,1368,1318,1368,1368,1368,1672,1295,1141,970,1062,1141,1141,1083,838,
1141,1083,1062,1062,1083,1062,2005,2213,2213,2213,2153,2082,2084,2084,2084,
2084,2005,2005,2005,1785,1785,1785,1801,1800,1785,1801,1308,1286,1308,1308,
1308,1286,670,690,685,692,694,694,680,690,692,2254,2253,2249,2249,2250,2238,
2240,2246,2231,2231,2231,2231,2231,2231,2231,2227,2227,2229,2229,2229,2229,
2227,2227,2227,2227,2227,2229,2227,2229,2199,2209,2209,2209,2196,2199,2199,
2199,2199,2199,2199,2209,2209,2199,2199,2197,2199,2196,2209,2199,2209,2199,
2199,2199,2199,2196,2199,2199,2196,2199,2209,2196,2199,2209,2199,2175,2175,
2178,2177,2189,2189,2177,2178,2139,2101,2096,2144,2132,2133,2133,2133,2133,
2133,2096,2133,2120,2096,2132,2096,2133,2101,2132,2139,2133,2132,2096,2133,
2133,2132,2141,2132,2133,2132,2133,2133,2133,2132,2124,2133,2132,2133,2141,
2101,2133,2085,2133,2101,2133,2133,2133,2133,2133,2133,2132,2096,2085,2085,
2101,2124,2133,2133,2096,2132,2133,2132,2133,2132,2101,2133,2132,2138,2132,
2132,2101,2101,2085,2144,2096,2138,2132,2133,2085,2085,2133,2101,2133,2133,
2101,2138,2096,2138,2133,2096,2132,2132,2101,2085,2096,2138,2139,2138,2101,
2144,2101,2085,2096,2132,2139,2101,2144,2120,2066,2066,1866,1973,1855,1935,
1964,1855,1805,1855,1908,1855,1866,1908,1883,1855,1935,1908,1805,1805,1908,
1832,1805,1855,1883,1935,1805,1855,1933,1855,1969,1805,1964,1855,1805,1935,
1935,1855,1805,1805,1805,1935,1908,1883,1935,1908,1883,1805,1935,1883,1883,
1935,1805,1805,1883,1805,1805,1866,1866,1969,1964,1805,1855,1805,1908,1805,
1962,1805,1805,1805,1883,1805,1805,1935,1883,1935,1866,1935,1805,1805,1866,
1883,1883,1805,1805,1805,1866,1866,1855,1935,1883,1908,1883,1935,1866,1969,
1854,1805,1855,1935,1908,1855,1883,1855,1866,1969,1883,1855,1866,1866,1805,
1805,1866,1855,1935,1908,1866,1908,1854,1883,1805,1908,1908,1866,1866,1935,
1883,1866,1908,1908,1935,1935,1908,1935,1935,1854,1866,1928,1935,1883,1855,
1908,1964,1969,1866,1908,1866,1883,1935,1928,1883,1969,1935,1556,1593,1593,
1670,1368,1556,1518,1593,1368,1368,1518,1518,1556,1483,1483,1518,1318,1483,
1556,1318,1368,1405,1316,1593,1405,1670,1368,1670,1670,1368,1316,1483,1083,
1141,1141,1083,2005,2005,2005,1697,1697,1700,1700,2232,2235,2235,2227,2213,
2213,2213,2189,2153,2153,2084,2084,2084,2084,2084,2081,2084,2082,2084,2084,
2084,2084,2084,2084,2084,2084,2082,2082,2084,2084,2084,2005,1785,1774,1785,
1785,1785,1785,1801,1785,1800,1793,1802,1785,1774,1722,1801,1785,1801,1785,
1801,1801,1785,1785,1785,1793,1801,1295,1286,1286,1305,1308,1308,1308,1308,
1308,1308,2250,2249,2243,2246,2246,2246,2242,2237,2231,2231,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2231,2231,2229,2227,2227,2227,2227,2227,2227,
2229,2227,2216,2229,2199,2199,2199,2196,2199,2209,2199,2199,2209,2209,2199,
2199,2209,2207,2209,2196,2196,2209,2201,2199,2209,2199,2199,2199,2199,2199,
2199,2199,2209,2197,2199,2199,2199,2199,2199,2196,2196,2199,2199,2196,2199,
2209,2199,2199,2199,2199,2199,2199,2199,2199,2199,2207,2207,2199,2196,2199,
2201,2209,2196,2198,2198,2196,2199,2199,2199,2199,2199,2199,2196,2209,2198,
2199,2198,2199,2196,2199,2199,2199,2199,2197,2209,2199,2199,2199,2189,2178,
2193,2177,2175,2189,2101,2085,2133,2132,2101,2085,2085,2085,2133,2101,2101,
2133,2085,2133,2133,2085,2132,2101,2144,2132,2085,2132,2096,2144,2101,2138,
2132,2085,2133,2132,2133,2138,2132,2132,2132,2130,2132,2132,2132,2132,2132,
2133,2132,2132,2133,2132,2133,2096,2085,2132,2132,2133,2133,2085,2133,2085,
2139,2133,2096,2101,2101,2139,2133,2124,2096,2132,2101,2133,2133,2096,2096,
2096,2133,2133,2096,2132,2132,2133,2133,2133,2133,2132,2133,2133,2133,2133,
2132,2133,2133,2101,2133,2133,2133,2133,2133,2132,2132,2133,2132,2139,2138,
2133,2124,2130,2132,2132,2132,2132,2132,2132,2093,2101,2141,2133,2133,2133,
2133,2138,2141,2133,2101,2133,2096,2132,2132,2133,2133,2133,2144,2133,2133,
2133,2096,2085,2133,2085,2132,2133,2132,2132,2132,2139,2120,2132,2130,2133,
2101,2132,2101,2133,2144,2096,2133,2133,2085,2132,2101,2085,2132,2132,2096,
2120,2101,2133,2096,2101,2107,2101,2133,2138,2133,2085,2096,2085,2133,2085,
2085,2133,2132,2085,2096,2101,2132,2132,2132,2096,2101,2096,2138,2133,2096,
2094,2132,2133,2130,2132,2101,2101,2132,2101,2138,2085,2085,2101,2101,2132,
2085,2132,2138,2101,2096,2096,2096,2096,2066,1866,1805,1855,1805,1882,1908,
1964,1908,1883,1908,1964,1855,1855,1855,1882,1883,1935,1969,1969,1935,1935,
1935,1969,1908,1964,1805,1855,1832,1935,1908,1883,1805,1866,1908,1969,1855,
1805,1805,1969,1855,1883,1854,1883,1935,1935,1883,1855,1866,1935,1908,1866,
1908,1908,1866,1855,1928,1935,1883,1882,1935,1866,1855,1805,1969,1805,1854,
1866,1935,1854,1883,1882,1855,1866,1866,1908,1855,1866,1908,1969,1964,1883,
1883,1866,1883,1805,1908,1935,1883,1866,1908,1935,1964,1908,1964,1908,1883,
1964,1935,1855,1866,1866,1935,1908,1805,1855,1935,1935,1854,1928,1935,1935,
1928,1928,1855,1883,1964,1964,1883,1935,1908,1835,1831,1883,1935,1969,1883,
1969,1908,1855,1969,1908,1969,1935,1855,1805,1935,1866,1964,1855,1883,1855,
1866,1883,1866,1883,1935,1805,1866,1866,1866,1483,1518,1670,1593,2005,2005,
2005,2005,2005,2005,2005,1700,1700,1697,1697,2235,2235,2232,2227,2227,2227,
2227,2227,2227,2227,2213,2213,2213,2213,2213,2213,2177,2177,2177,2189,2189,
2175,2175,2175,2189,2175,2177,2153,2153,2083,2084,2084,2084,2084,2084,2082,
2083,2084,2081,2084,2084,2084,2084,2084,2084,2066,2082,2084,2082,2081,2084,
2081,2081,2084,2084,2084,2084,2084,2066,2082,2084,2084,2084,2084,2084,2081,
2082,2063,2082,2084,2082,2084,2084,2084,2084,2084,2083,2084,2083,2081,2084,
2063,2081,1793,1799,1785,1801,1785,1803,1774,1793,1801,1787,1802,1785,1800,
1801,1774,1801,1801,1802,1785,1800,1797,1802,1800,1801,1803,1308,2254,2253,
2249,2250,2250,2250,2249,2246,2238,2240,2231,2231,2231,2231,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,
2231,2231,2231,2229,2227,2227,2227,2229,2227,2199,2207,2199,2199,2199,2199,
2199,2198,2196,2199,2207,2199,2199,2199,2199,2209,2199,2196,2199,2209,2199,
2199,2198,2199,2207,2209,2201,2199,2199,2199,2204,2199,2198,2196,2209,2199,
2199,2199,2199,2199,2199,2208,2199,2199,2199,2199,2199,2196,2199,2199,2199,
2199,2196,2199,2199,2199,2199,2199,2196,2199,2209,2203,2199,2199,2199,2207,
2199,2199,2196,2196,2196,2199,2209,2199,2199,2199,2198,2199,2199,2201,2199,
2196,2196,2196,2209,2207,2199,2209,2196,2199,2199,2199,2199,2199,2199,2199,
2196,2199,2199,2209,2202,2199,2198,2198,2196,2199,2199,2199,2199,2199,2199,
2199,2199,2199,2199,2199,2209,2196,2199,2209,2199,2196,2207,2197,2196,2199,
2196,2133,2133,2132,2132,2101,2138,2138,2133,2101,2133,2133,2096,2085,2096,
2133,2132,2096,2133,2133,2133,2085,2133,2133,2133,2096,2085,2133,2093,2132,
2132,2132,2133,2133,2094,2133,2096,2133,2133,2133,2133,2133,2138,2130,2132,
2132,2101,2132,2130,2133,2133,2133,2093,2096,2093,2133,2133,2133,2085,2132,
2130,2132,2132,2130,2133,2133,2133,2133,2101,2096,2101,2133,2133,2132,2130,
2133,2093,2096,2133,2138,2138,2133,2138,2133,2132,2133,2132,2133,2138,2133,
2133,2085,2133,2133,2133,2133,2132,2096,2132,2132,2132,2133,2138,2138,2132,
2132,2132,2085,2132,2101,2132,2132,2096,2094,2094,2101,2096,2138,2085,2130,
2107,2107,2132,2133,2101,2101,2132,2132,2132,2132,2130,2130,2101,2133,2132,
2101,2096,2132,2132,2132,2132,2096,2132,2132,2132,2133,2132,2101,2132,2133,
2133,2133,2101,2132,2132,2132,2096,2096,2132,2101,2101,2101,2101,2133,2101,
2096,2101,2094,2096,2130,2101,2101,2096,2132,2130,2130,2132,2133,2085,2096,
2096,2132,2132,2132,2132,2101,2130,2101,2101,2132,2107,2138,2132,2107,2138,
1964,1935,1908,1866,1855,1935,1935,1964,1908,1866,1935,1969,1882,1855,1969,
1883,1969,1964,1969,1882,1883,1964,2213,2153,2005,2005,2005,2005,2005,2005,
2005,2227,2227,2229,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,
2227,2227,2227,2227,2227,2227,2213,2213,2175,2177,2175,2189,2189,2189,2177,
2189,2189,2175,2189,2177,2175,2175,2175,2175,2195,2177,2177,2177,2193,2175,
2175,2175,2177,2177,2175,2177,2177,2177,2177,2175,2191,2189,2190,2084,2084,
2084,2081,2084,2084,2084,2063,2081,2083,2063,2066,2082,2084,2081,2082,2081,
2083,2084,2081,2082,2083,2082,2083,2084,2084,2084,2081,2072,2066,2082,2084,
2082,2081,2082,2084,2083,2083,2078,2084,2071,1800,1801,1802,1803,2250,2249,
2249,2249,2250,2242,2246,2238,2231,2231,2231,2231,2231,2231,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2196,2196,2199,2209,2199,2199,2199,2199,2199,
2199,2199,2199,2209,2199,2199,2196,2199,2199,2199,2209,2198,2209,2199,2199,
2199,2199,2199,2207,2199,2198,2199,2199,2199,2199,2196,2199,2199,2199,2198,
2199,2199,2199,2199,2199,2196,2196,2209,2209,2209,2199,2196,2198,2199,2199,
2199,2198,2198,2198,2199,2199,2207,2199,2199,2199,2199,2196,2199,2197,2199,
2199,2199,2196,2199,2198,2196,2199,2198,2199,2198,2207,2207,2199,2207,2199,
2207,2207,2209,2196,2207,2196,2199,2209,2196,2199,2199,2199,2199,2207,2199,
2207,2196,2199,2199,2196,2207,2199,2199,2209,2209,2199,2198,2198,2196,2199,
2196,2199,2199,2199,2199,2199,2138,2133,2138,2132,2130,2133,2133,2138,2133,
2130,2133,2138,2133,2132,2096,2101,2094,2088,2090,2093,2132,2101,2096,2132,
2132,2130,2132,2107,2132,2133,2132,2133,2130,2213,2213,2213,2213,2213,2213,
2213,2153,2153,2153,2005,2254,2253,2248,2235,2235,2235,2232,2227,2228,2227,
2227,2229,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,2227,
2227,2227,2229,2227,2227,2227,2227,2227,2227,2227,2229,2227,2227,2227,2227,
2227,2227,2227,2229,2227,2229,2227,2229,2229,2227,2177,2189,2189,2189,2177,
2193,2193,2189,2189,2195,2189,2175,2175,2194,2193,2191,2190,2175,2190,2177,
2175,2189,2195,2177,2191,2081,2082,2083,2084,2254,2250,2250,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,
2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2199,
2207,2199,2207,2199,2198,2196,2196,2199,2207,2209,2199,2199,2199,2199,2207,
2199,2198,2209,2199,2198,2199,2209,2198,2199,2209,2213,2213,2213,2213,2213,
2213,2213,2153,2254,2250,2250,2248,2246,2242,2242,2229,2227,2229,2227,2229,
2229,2228,2228,2228,2227,2227,2224,2227,2227,2227,2227,2227,2229,2227,2227,
2227,2227,2227,2230,2230,2227,2229,2229,2189,2190,2191,2192,2193,2194,2195,
2249,2250,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,2231,
2248,2235,2213,2254,2254,2253,2250,2250,2250,2250,2250,2250,2242,2246,2246,
2242,2227,2228,2229,2230,2231,2248,2248,2248,2235,2254,2254,2249,2250,2249,
2250,2250,2250,2250,2250,2246,2254,2248,2249,2250,2254,2254,2254,2254],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,10,1,12,10,1,12,12,10,11,1,12,11,2,3,1,2,
1,3,1,1,2,1,1,1,2,2,2,2,2,2,1,1,2,1,2,2,1,2,1,2,3,1,3,1,1,2,1,2,3,2,1,1,1,3,1,
1,1,2,2,2,1,1,1,1,2,2,1,2,1,1,2,2,1,2,1,2,1,1,2,1,2,1,1,1,1,2,1,3,1,1,2,2,2,1,
2,1,2,1,1,1,1,2,2,2,1,1,3,1,1,1,2,1,1,2,3,2,1,1,1,3,1,1,1,1,3,3,5,1,3,1,1,3,1,
5,5,3,2,5,1,2,1,5,2,1,3,1,1,2,5,1,5,5,5,1,1,5,5,5,1,5,5,5,5,1,1,10,10,1,31,1,
1,10,10,12,1,12,1,1,10,1,34,10,1,12,11,1,12,1,11,10,11,10,12,12,12,10,11,12,2,
3,2,1,2,1,3,3,1,2,2,1,2,1,1,2,15,1,2,1,2,2,15,15,2,2,2,15,2,2,3,3,3,1,2,2,2,2,
2,2,1,3,1,2,2,2,2,1,2,3,2,2,2,2,2,2,2,1,2,1,2,1,2,2,2,2,1,2,3,3,2,1,2,1,2,2,2,
2,2,2,2,2,2,2,1,2,1,2,1,20,20,1,2,15,2,2,2,20,2,2,2,2,2,2,2,15,1,2,20,1,1,2,1,
3,2,20,2,2,2,2,2,2,20,2,3,3,2,2,1,2,2,2,2,20,2,20,2,2,15,3,2,20,20,20,3,1,2,3,
2,2,3,3,2,20,2,2,2,3,2,1,1,2,1,20,20,1,2,3,2,1,20,1,2,2,2,15,2,20,1,2,3,3,20,
3,20,2,3,2,2,20,20,20,2,2,2,2,5,2,2,2,2,1,2,2,15,5,2,20,3,20,3,2,3,20,2,1,5,1,
2,2,2,1,2,15,5,20,2,2,5,15,2,2,2,2,2,2,2,20,20,3,3,2,2,2,2,2,3,2,2,1,1,2,2,1,
2,1,2,2,2,2,20,15,15,2,2,2,2,1,20,5,15,20,15,2,20,3,3,2,20,5,20,20,15,20,1,3,
1,20,20,20,2,1,20,20,5,20,2,1,1,15,2,2,20,20,2,5,2,2,20,1,5,5,2,5,5,3,20,3,5,
15,1,20,3,3,20,2,20,15,5,1,15,3,5,16,5,5,5,2,16,24,5,2,2,24,24,16,24,24,24,3,
24,16,3,2,5,3,5,5,5,2,5,5,2,3,24,5,5,5,5,1,220,220,12,10,220,1,70,70,69,84,2,
69,50,97,70,3,10,10,10,50,2,81,1,31,1,50,2,50,50,10,50,50,225,225,1,50,2,56,
50,31,50,1,50,2,1,10,34,225,99,50,225,10,11,10,55,10,3,55,10,50,10,31,11,34,
55,11,34,12,2,12,56,56,12,2,2,3,3,3,2,2,2,2,2,2,13,13,13,2,2,13,13,2,1,13,2,2,
2,2,15,2,2,2,2,3,2,20,1,20,13,13,13,2,21,13,3,2,2,3,1,3,2,13,3,13,20,13,21,2,
20,15,2,2,20,3,13,15,20,2,2,2,2,1,21,2,2,15,3,2,2,2,2,2,20,15,2,20,13,13,20,
13,20,2,3,13,2,2,13,15,21,21,20,20,21,13,2,13,20,13,20,13,15,21,20,15,13,13,
20,21,15,3,2,3,2,2,3,20,3,21,1,2,13,3,13,2,2,2,20,13,2,15,13,15,20,5,20,13,15,
20,2,20,3,20,13,15,21,2,1,15,15,15,13,15,20,21,21,20,2,21,15,2,20,2,20,3,2,20,
15,20,2,20,13,21,2,2,20,20,21,2,15,20,20,2,2,21,20,13,13,2,2,2,20,20,2,15,21,
15,20,20,21,2,2,2,15,20,20,21,21,21,15,21,15,20,21,21,2,3,2,15,3,15,15,20,15,
20,21,13,20,20,15,20,2,2,16,20,15,20,20,20,15,20,15,20,2,2,15,20,15,2,13,2,13,
20,20,15,2,2,2,20,15,2,20,20,2,20,2,5,2,2,21,13,21,20,13,21,20,20,20,2,21,2,2,
3,20,2,3,20,13,20,3,2,13,3,1,2,13,20,20,15,2,2,2,20,2,16,21,20,3,15,2,1,15,20,
20,20,13,16,13,13,20,13,20,13,2,16,20,20,2,20,20,3,20,2,20,2,14,20,27,20,15,
20,27,20,20,2,14,15,21,27,27,2,2,21,24,20,24,2,20,5,21,20,15,2,20,20,3,20,2,2,
27,20,2,24,15,21,21,15,20,20,5,20,20,20,2,2,20,16,21,15,5,5,20,20,2,24,2,24,
20,21,24,15,21,20,2,20,20,20,20,20,27,16,15,15,20,2,2,20,21,15,20,20,21,24,20,
16,20,15,24,5,20,20,20,21,20,2,20,21,5,24,16,21,21,17,17,20,15,27,27,15,21,20,
14,21,15,21,16,15,16,20,20,24,20,24,21,20,2,21,20,24,20,15,20,20,15,20,15,5,2,
20,20,20,24,24,27,27,12,220,220,10,10,1,12,220,220,220,220,69,70,70,84,84,84,
634,634,634,634,69,636,50,636,2,50,84,84,634,97,97,634,84,634,97,84,634,70,3,
69,50,50,50,50,2,31,69,15,81,15,50,50,15,227,227,97,31,50,225,646,2,81,646,10,
227,10,227,227,97,31,227,227,50,50,15,81,225,638,225,50,225,50,227,227,10,227,
636,227,636,646,227,638,646,225,631,50,55,50,639,225,225,236,633,99,50,34,236,
225,236,236,673,50,34,632,673,34,11,639,56,13,13,2,2,2,2,13,3,13,3,76,13,13,
76,13,2,13,76,2,76,76,13,13,76,13,13,2,13,2,76,13,76,13,13,1,2,15,15,15,2,15,
21,76,14,90,76,13,90,76,13,90,76,20,14,2,90,3,14,76,2,13,20,15,76,15,76,13,76,
76,20,2,76,21,76,76,13,90,21,2,20,21,21,76,20,2,15,20,14,76,20,20,15,20,76,2,
13,21,21,2,76,15,13,76,20,20,21,76,20,20,13,13,76,20,13,20,21,15,76,20,15,76,
13,76,13,13,13,76,90,13,76,20,21,15,20,20,15,21,13,21,15,3,76,90,76,76,13,20,
20,2,20,15,21,2,20,15,20,21,13,76,21,13,21,76,76,13,76,90,76,90,90,90,15,76,
17,24,90,76,15,21,2,13,76,90,20,76,90,90,90,13,20,2,90,76,13,90,75,20,90,15,
21,21,93,90,76,90,90,15,90,90,24,93,15,90,76,90,73,90,90,90,75,76,75,20,20,15,
13,90,71,90,90,93,90,20,15,90,20,76,20,15,21,90,73,15,75,76,90,24,16,20,27,90,
90,20,20,21,16,15,20,13,2,15,21,21,90,20,20,90,15,20,24,16,90,90,90,13,20,76,
15,90,76,93,93,20,20,27,13,93,73,73,90,90,76,76,20,15,90,90,93,71,20,90,90,20,
76,15,20,20,20,20,20,90,90,90,90,20,90,21,90,90,76,20,20,90,76,13,90,20,20,76,
20,90,20,20,20,93,20,15,76,76,20,90,16,17,90,90,13,20,20,15,90,90,90,76,14,76,
20,90,17,27,90,16,27,126,21,20,20,20,21,21,126,20,20,21,126,88,20,126,15,126,
126,126,88,15,126,69,70,56,50,220,624,624,220,220,634,634,726,634,634,634,84,
634,634,634,84,84,84,634,634,84,84,84,634,634,50,636,634,84,634,638,638,97,
634,638,638,84,97,634,634,634,634,634,70,634,634,634,816,634,634,634,634,634,
84,84,634,634,634,634,70,97,69,227,227,227,646,227,15,227,638,81,636,638,97,
225,227,646,225,646,636,227,646,648,636,648,69,227,50,50,646,633,97,648,227,
79,646,225,227,636,636,632,227,631,100,236,673,639,15,2,257,257,13,259,13,257,
76,15,76,76,13,76,76,257,75,257,76,13,13,76,76,76,71,257,76,75,75,76,76,71,75,
76,257,257,257,76,76,76,90,75,269,269,269,21,90,269,90,269,93,20,90,13,90,90,
90,16,265,93,76,269,20,269,90,257,90,257,76,76,76,269,76,269,90,88,265,88,88,
15,20,90,76,76,73,71,73,90,257,265,269,20,90,257,266,266,90,75,263,90,90,90,
76,257,20,75,90,20,269,76,90,265,257,90,76,71,76,76,76,90,259,15,259,259,73,
76,263,76,75,13,257,21,88,269,20,263,269,263,257,269,76,76,257,76,90,93,93,
269,266,266,257,20,257,269,15,90,76,90,314,90,126,90,302,90,90,126,90,302,90,
314,90,90,76,76,266,264,264,265,90,76,76,90,90,302,90,263,90,90,90,90,302,69,
636,1693,1693,635,636,635,1694,1694,70,624,1309,1310,1309,256,255,1310,256,84,
1315,634,634,726,634,634,634,84,1203,84,634,1203,1203,1203,634,1203,634,1203,
634,1704,634,634,1203,280,634,1203,634,726,280,280,1203,1203,1203,634,634,726,
1203,1704,280,1704,1704,634,634,1219,1219,638,634,816,1744,638,1219,632,97,
634,634,1317,1744,1202,1200,634,633,634,634,1219,1201,634,631,646,648,636,227,
13,259,259,264,269,264,269,257,265,266,266,76,257,257,269,76,76,76,257,269,
269,257,263,265,259,265,263,263,266,263,257,269,259,266,265,269,715,269,715,
269,718,257,257,269,715,302,269,90,90,90,715,269,718,314,269,718,269,314,718,
269,302,636,1693,635,1693,1693,1693,1693,1694,2006,2006,1309,2008,1310,2006,
1309,1704,1203,1704,634,1704,1704,2014,2014,1315,1203,1203,2007,1203,1203,634,
1203,634,726,280,1203,1203,1203,1203,1309,2008,1203,1704,1704,1219,1758,1756,
2011,1744,1317,1740,257,698,718,269,717,712,1321,1321,1321,698,718,715,1321,
717,715,1309,1310,1693,2085,1309,1310,2006,2006,1309,1309,2006,2006,2006,2007,
2007,2006,1203,2014,1704,2008,1321,2211,2006,2008,2212,2214,2006,2085,1808,
2214,2156,2006,2156,2156,2006,2158,2085,2211,2214,2156,2214,2215,2247,2247],
[( 1,36,24,23,21,12)( 2, 5,38,26,30,13)( 3,37,25,15, 4,14)( 6, 9,35,22,31,16)
( 7,46,44,41,32,17)( 8,19,10,42,33,18)(11,40,29,27,34,20)(28,45,48,47,43,39),
( 1,46,41,22)( 2,20, 7,35,43,33,37,23)( 3, 9,17,24)( 4,21,16,25)( 5,19,18,26)
( 6,12,48,44,36,31,30,15)( 8,14,28,10,40,32,38,27)(11,45,39,29)],
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47,76,53,74,52,67,59,54,76,74,75,48,68,82,49,60,63,76,56,69,73,83,75,49,53,61,
80,64,60,53,48,88,89,80,54,85,64,63,84,60,78,81,87,76,81,70,76,52,77,72,53,86,
53,61,71,80,50,83,84,89,51,52,84,86,86,54,85,87,82,88,91,118,96,104,119,122,
99,100,97,105,106,120,98,100,118,104,102,123,105,103,110,109,121,107,101,111,
116,108,116,117,115,113,116,114,112,133,136,134,128,135,131,137,138,171,177,
184,168,178,129,141,230,228,129,149,141,140,146,227,212,146,147,139,211,148,
133,183,173,185,169,231,177,232,155,134,231,132,176,168,155,248,154,179,175,
155,182,135,231,232,178,180,232,184,142,154,145,181,171,170,154,135,147,143,
151,159,160,150,130,178,236,157,170,191,189,139,158,156,181,140,152,235,158,
236,190,142,253,211,141,180,253,149,190,149,212,192,147,180,234,233,157,179,
214,235,180,227,131,235,234,169,186,152,211,153,190,178,233,181,148,228,233,
250,187,146,192,142,189,189,191,158,254,140,253,230,153,215,162,234,214,228,
227,251,145,156,238,230,156,252,188,177,215,181,157,191,161,148,172,142,139,
236,215,212,144,153,237,184,174,254,175,147,249,152,254,248,214,132,192,165,
164,216,199,213,180,205,241,194,220,254,259,150,147,151,197,186,191,194,193,
184,174,193,198,229,252,190,218,166,217,195,190,206,219,194,144,250,240,156,
154,193,175,154,213,187,253,239,153,252,220,241,249,194,194,198,157,158,259,
218,245,247,155,239,193,191,156,200,152,189,143,240,193,158,142,197,132,198,
170,153,189,255,257,256,152,193,194,241,242,216,183,218,214,216,179,256,163,
243,194,256,186,214,257,258,229,240,201,242,258,220,219,157,143,258,255,187,
215,239,236,244,259,193,232,254,217,197,176,150,151,253,236,250,188,155,251,
182,196,213,207,185,219,242,215,202,167,257,231,229,217,251,246,255,204,188,
265,199,206,204,197,262,264,202,198,156,226,261,225,260,221,224,208,223,222,
203,192,196,210,205,207,195,197,201,200,198,209,263,210,208,203,209,267,273,
271,277,282,276,269,294,299,293,292,306,295,302,298,300,309,333,334,341,315,
331,296,313,323,314,303,308,312,318,342,317,316,338,337,329,311,307,304,315,
324,303,329,316,331,330,345,325,339,301,302,340,343,336,341,320,345,310,321,
342,317,345,326,335,327,322,348,328,346,332,347,305,319,344,373,356,393,394,
374,395,355,375,376,357,385,413,396,400,377,383,397,408,427,410,405,358,360,
431,432,436,361,355,363,359,378,383,449,410,439,418,477,402,366,400,420,382,
366,443,495,469,429,384,404,387,476,438,406,477,385,450,449,427,376,438,388,
487,439,449,377,373,356,386,412,396,366,428,500,379,444,444,443,443,444,456,
450,357,457,415,399,450,417,456,365,494,398,359,470,414,438,477,405,457,439,
408,419,496,416,500,480,501,401,501,413,500,456,488,409,501,397,457,370,389,
369,362,373,368,512,499,481,469,431,541,497,544,365,433,361,455,492,384,504,
545,510,510,388,547,539,513,455,496,511,392,559,489,452,415,363,411,549,547,
511,424,532,531,478,479,437,364,479,459,447,459,376,506,390,470,513,455,458,
498,452,546,487,384,358,437,462,488,367,548,502,510,432,375,481,458,481,482,
367,380,367,508,462,381,458,417,506,558,503,401,448,448,433,454,454,557,414,
476,398,451,482,556,556,482,416,385,446,386,530,475,508,558,532,531,549,478,
555,547,530,502,502,380,381,460,548,505,507,506,453,557,512,503,504,357,395,
440,453,453,363,407,358,490,511,451,512,361,360,376,530,507,471,505,549,433,
459,428,387,448,377,419,491,480,532,542,399,436,505,548,360,404,364,434,473,
513,384,445,440,493,451,391,364,543,430,412,434,538,504,436,437,434,432,380,
559,381,464,418,440,474,462,447,472,559,556,508,557,479,463,403,540,558,478,
507,423,431,461,531,503,447,454,452,371,441,367,514,380,565,511,425,558,534,
511,422,520,441,435,565,519,489,483,485,498,386,493,465,558,466,381,442,392,
541,532,518,365,562,438,372,562,381,367,421,561,362,550,560,491,543,562,534,
521,391,549,551,501,444,435,551,554,539,561,475,495,509,535,380,527,364,536,
514,541,533,442,424,564,362,564,559,521,515,439,426,522,563,564,561,435,366,
559,539,515,520,549,538,516,532,523,510,509,517,499,563,560,442,492,512,389,
560,423,390,553,537,423,420,566,567,509,552,484,486,514,542,510,565,555,535,
546,525,520,524,512,519,526,500,468,543,552,389,490,535,467,518,441,515,552,
521,519,551,499,364,534,563,518,529,528,426,425,572,579,581,571,577,586,573,
583,584,590,592,620,624,619,603,621,602,631,630,614,613,622,633,657,616,654,
652,604,605,632,607,625,630,621,631,606,603,615,626,655,610,683,704,664,682,
663,659,627,702,609,701,650,665,703,706,685,612,698,678,670,634,656,623,635,
693,675,676,697,680,611,660,686,696,653,677,700,628,671,640,668,651,667,658,
687,681,679,688,636,684,638,637,695,641,617,674,647,665,705,664,645,673,672,
689,642,629,682,661,691,669,690,692,648,704,699,646,643,662,694,644,666,729,
730,735,731,736,726,739,732,740,733,770,764,778,759,762,782,797,745,727,784,
758,754,749,771,741,753,792,750,728,744,796,785,748,793,738,734,808,804,809,
727,803,778,879,743,830,830,825,830,859,757,874,787,862,872,735,874,783,872,
791,731,882,819,868,892,861,761,742,831,874,818,782,896,825,855,790,779,785,
753,728,814,827,825,885,868,737,862,817,872,772,813,853,817,860,788,737,827,
754,827,737,789,818,794,777,861,869,884,747,853,868,765,799,786,862,881,897,
764,813,856,818,869,875,884,746,751,780,766,900,784,798,760,817,762,853,861,
814,814,749,752,884,897,795,894,758,844,878,763,813,860,792,897,860,796,736,
869,819,819,793,883,775,748,768,750,776,898,887,773,759,774,875,836,787,805,
926,873,867,837,912,863,763,734,767,877,834,806,837,836,838,786,781,863,728,
835,838,769,840,801,811,855,806,780,751,858,877,835,840,839,864,839,835,866,
886,906,843,924,913,918,876,837,841,802,834,917,870,816,816,890,900,911,912,
832,901,877,871,870,790,803,876,804,815,757,913,909,821,916,836,838,822,865,
864,828,841,842,815,908,752,854,820,820,800,734,871,826,826,878,821,906,843,
907,821,823,824,915,833,833,889,905,915,905,842,840,857,893,906,864,756,888,
880,910,920,925,834,927,913,805,908,856,832,899,919,907,788,761,908,839,811,
809,808,803,863,907,914,914,789,926,905,927,765,831,876,843,810,804,912,841,
826,915,811,805,842,809,791,806,816,810,895,870,921,925,832,815,924,922,902,
844,760,891,820,871,810,925,879,927,833,904,914,808,924,903,829,926,923,755,
846,891,860,807,807,889,890,847,814,812,881,850,919,812,851,807,849,848,852,
911,812,845,934,936,947,946,941,937,938,948,944,974,963,961,982,981,975,979,
998,1001,1000,1009,995,954,999,964,955,980,953,968,967,1013,970,1000,956,1017,
1004,976,958,983,1005,977,995,1011,1003,982,968,1017,1017,1028,987,1002,969,
962,967,998,1001,984,965,1009,1010,985,986,966,981,1029,957,1030,1040,1035,
1034,973,1039,1038,1036,1006,997,972,1018,1012,1037,1044,1019,1045,988,1008,
1047,1007,1043,1020,1042,996,1032,1031,1014,1021,1023,959,1041,1050,1051,971,
1046,1033,989,1022,1025,1049,1024,1052,1048,1026,1027,1080,1077,1083,1086,
1078,1085,1079,1088,1131,1102,1125,1113,1126,1114,1129,1090,1133,1106,1121,
1137,1127,1135,1097,1117,1118,1091,1122,1082,1093,1139,1099,1119,1104,1098,
1084,1105,1087,1095,1140,1141,1122,1134,1177,1178,1179,1126,1113,1195,1159,
1178,1130,1081,1162,1138,1114,1184,1189,1103,1170,1132,1162,1179,1081,1193,
1129,1154,1194,1191,1184,1150,1194,1178,1123,1177,1158,1146,1143,1146,1119,
1081,1149,1150,1115,1116,1171,1172,1173,1159,1107,1144,1193,1174,1194,1192,
1160,1161,1182,1104,1165,1162,1184,1182,1182,1092,1080,1190,1131,1102,1177,
1142,1125,1169,1109,1121,1156,1146,1155,1176,1175,1158,1112,1149,1151,1152,
1120,1124,1164,1101,1133,1128,1089,1127,1118,1094,1149,1147,1179,1187,1108,
1195,1158,1100,1153,1159,1117,1136,1096,1193,1166,1168,1111,1174,1110,1195,
1174,1150,1189,1189,1180,1116,1186,1155,1198,1163,1163,1185,1183,1148,1115,
1181,1123,1156,1163,1157,1167,1201,1145,1200,1176,1199,1183,1157,1175,1197,
1199,1196,1199,1183,1157,1124,1188,1211,1213,1218,1217,1210,1222,1206,1221,
1220,1212,1226,1238,1239,1240,1252,1253,1241,1254,1246,1271,1306,1248,1296,
1268,1299,1267,1284,1273,1282,1302,1293,1277,1310,1308,1311,1314,1318,1315,
1261,1301,1300,1292,1313,1255,1275,1250,1297,1312,1288,1276,1274,1290,1247,
1256,1245,1291,1264,1289,1262,1259,1249,1257,1278,1280,1307,1251,1298,1265,
1309,1281,1327,1283,1308,1268,1272,1266,1324,1325,1315,1329,1269,1314,1279,
1323,1270,1328,1316,1330,1317,1331,1361,1362,1363,1398,1396,1380,1392,1365,
1383,1397,1394,1401,1364,1372,1386,1388,1399,1400,1391,1384,1366,1373,1370,
1368,1376,1378,1379,1395,1382,1389,1377,1385,1367,1369,1381,1408,1406,1384,
1409,1408,1404,1375,1374,1411,1410,1371,1411,1399,1401,1400,1407,1411,1405,
1387,1396,1403,1408,1393,1402,1386,1390,1426,1417,1424,1425,1420,1421,1418,
1419,1447,1448,1450,1449,1451,1454,1458,1493,1491,1474,1476,1482,1477,1468,
1465,1469,1463,1471,1455,1461,1464,1452,1473,1460,1466,1467,1488,1472,1490,
1462,1459,1456,1483,1494,1478,1489,1502,1501,1457,1479,1470,1500,1524,1523,
1527,1522,1533,1535,1534,1529,1530,1536,1531,1525,1532,1528,1526,1542,1543,
1546,1563,1564,1565,1570,1569,1573,1574,1567,1571,1576,1568,1572,1575,1582,
1578,1579,1577,1587,1600,1598,1597,1601,1620,1621,1622,1623,1628,1631,1632,
1626,1625,1633,1627,1636,1644,1653,1655,1665,1663,1664,1672] );
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#E