GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm4l34s3.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm4l34s3.tom,v 4.2 2001/07/05 06:54:55 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the group $2^2.L3(4).3.2_2$
##
#H tomlib history
#H --------------
#H $Log: tm4l34s3.tom,v $
#H Revision 4.2 2001/07/05 06:54:55 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/tm4l34s3.tom,v
#H Working file: tm4l34s3.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:19:45; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:38:52; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tm4l34s3_tom :=
"@(#)$Id: tm4l34s3.tom,v 4.2 2001/07/05 06:54:55 gap Exp $";
SetActualLibFileName("tm4l34s3");
LIBTOM( "2^2.L3(4).3.2_2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,9],[1,3,10],[1,2,5,11],[1,
5,12],[1,5,13],[1,5,14],[1,5,15],[1,2,4,16],[1,5,17],[1,5,18],[1,3,5,19],[1,3,
5,20],[1,3,5,21],[1,2,3,5,22],[1,3,5,23],[1,3,5,24],[1,3,4,25],[1,4,5,26],[1,
2,27],[1,5,28],[1,5,29],[1,5,30],[1,3,31],[1,32],[1,3,6,33],[1,4,8,34],[1,4,7,
35],[1,4,6,36],[1,5,6,37],[1,2,6,38],[1,3,7,39],[1,4,6,40],[1,41],[1,2,3,5,9,
11,22,42],[1,3,5,13,24,43],[1,3,5,12,23,44],[1,2,3,5,10,19,22,45],[1,2,3,5,17,
22,24,46],[1,2,3,5,18,22,23,47],[1,5,13,14,17,48],[1,5,12,15,18,49],[1,2,3,5,
11,12,13,19,22,50],[1,2,3,5,11,15,20,22,51],[1,2,3,5,11,14,21,22,52],[1,4,5,
18,26,53],[1,4,5,17,26,54],[1,2,5,11,14,17,55],[1,2,5,11,15,18,56],[1,3,5,10,
21,24,57],[1,3,5,10,20,23,58],[1,3,5,12,17,21,24,59],[1,3,5,13,18,20,23,60],[
1,5,12,14,61],[1,5,13,15,62],[1,3,5,12,15,20,63],[1,3,5,13,14,21,64],[1,2,3,5,
11,15,20,22,23,65],[1,2,3,5,11,14,21,22,24,66],[1,3,5,14,17,19,21,67],[1,3,5,
15,18,19,20,68],[1,3,5,14,19,21,24,69],[1,3,5,15,19,20,23,70],[1,3,4,5,24,25,
26,71],[1,3,4,5,23,25,26,72],[1,3,5,14,19,21,24,73],[1,3,5,15,19,20,23,74],[1,
2,3,4,5,16,22,25,26,75],[1,2,4,9,16,27,76],[1,3,5,23,24,28,77],[1,3,5,17,23,
28,78],[1,3,5,18,24,28,79],[1,5,17,18,28,80],[1,3,5,15,24,29,81],[1,3,5,14,23,
29,82],[1,5,14,15,28,83],[1,5,14,15,28,84],[1,4,5,17,26,30,85],[1,4,5,18,26,
30,86],[1,3,4,10,25,31,87],[1,5,15,17,29,88],[1,5,14,18,29,89],[1,4,5,13,26,
30,90],[1,4,5,12,26,30,91],[1,4,5,26,28,92],[1,3,4,5,19,25,31,93],[1,3,4,5,21,
25,31,94],[1,3,4,5,20,25,31,95],[1,3,4,5,24,26,30,96],[1,3,4,5,23,26,30,97],[
1,2,4,5,11,16,27,98],[1,2,3,5,22,28,99],[1,2,3,5,22,29,100],[1,2,3,5,22,31,
101],[1,2,3,5,22,27,102],[1,5,13,29,103],[1,5,12,29,104],[1,5,12,28,105],[1,5,
13,28,106],[1,3,5,23,30,107],[1,3,5,24,30,108],[1,5,17,30,109],[1,5,18,30,
110],[1,2,3,5,22,30,111],[1,2,5,11,28,29,112],[1,4,5,26,28,30,113],[1,4,5,26,
28,30,114],[1,3,5,19,28,29,115],[1,3,5,23,31,116],[1,3,5,24,31,117],[1,5,28,
30,118],[1,5,29,119],[1,6,120],[1,6,7,121],[1,6,8,122],[1,3,32,123],[1,5,32,
124],[1,2,32,125],[1,2,7,9,126],[1,2,8,9,127],[1,3,6,10,128],[1,3,7,10,129],[
1,3,7,10,130],[1,5,6,17,131],[1,5,6,18,132],[1,5,7,13,133],[1,5,7,12,134],[1,
2,6,9,38,135],[1,3,7,10,39,136],[1,2,4,6,16,38,40,137],[1,2,6,27,38,138],[1,3,
7,31,39,139],[1,2,4,6,16,36,38,140],[1,2,5,6,11,37,38,141],[1,2,3,5,6,22,33,
37,38,142],[1,3,4,7,25,35,39,143],[1,3,4,6,25,33,36,40,144],[1,4,5,6,26,36,37,
40,145],[1,2,6,27,38,146],[1,2,41,147],[1,4,41,148],[1,7,32,149],[1,2,3,5,9,
10,11,12,13,19,22,42,45,50,150],[1,5,13,15,62,151],[1,5,12,14,61,152],[1,3,5,
10,12,17,21,24,57,59,153],[1,3,5,10,13,18,20,23,58,60,154],[1,3,5,10,12,15,19,
20,23,44,58,63,70,74,155],[1,3,5,10,13,14,19,21,24,43,57,64,69,73,156],[1,2,3,
4,5,16,18,22,23,25,26,47,53,72,75,157],[1,2,3,4,5,16,17,22,24,25,26,46,54,71,
75,158],[1,2,3,5,9,11,14,17,21,22,24,42,46,52,55,66,159],[1,2,3,5,9,11,15,18,
20,22,23,42,47,51,56,65,160],[1,2,3,5,11,12,13,15,18,19,20,22,23,44,47,49,50,
60,65,70,161],[1,2,3,5,11,12,13,14,17,19,21,22,24,43,46,48,50,59,66,69,162],[
1,2,3,5,11,12,13,14,17,19,21,22,48,50,52,55,61,67,163],[1,2,3,5,11,12,13,15,
18,19,20,22,49,50,51,56,62,68,164],[1,2,3,5,10,11,15,18,19,20,22,23,45,47,51,
58,65,68,70,74,165],[1,2,3,5,10,11,14,17,19,21,22,24,45,46,52,57,66,67,69,73,
166],[1,3,5,12,13,15,18,19,20,23,49,60,62,63,68,74,167],[1,3,5,12,13,14,17,19,
21,24,48,59,61,64,67,73,168],[1,3,5,13,15,18,19,20,23,60,62,68,70,74,169],[1,
3,5,12,14,17,19,21,24,59,61,67,69,73,170],[1,2,3,5,11,12,13,15,18,19,20,22,23,
50,51,56,60,62,63,65,68,70,74,171],[1,2,3,5,11,12,13,14,17,19,21,22,24,50,52,
55,59,61,64,66,67,69,73,172],[1,2,3,5,17,22,24,27,46,102,173],[1,2,3,5,18,22,
23,27,47,102,174],[1,2,3,5,18,22,23,31,47,101,116,175],[1,2,3,5,17,22,24,31,
46,101,117,176],[1,2,3,5,11,12,13,19,22,28,50,99,105,106,177],[1,2,3,5,11,12,
13,19,22,29,50,100,103,104,178],[1,2,3,5,17,22,24,30,46,108,109,111,179],[1,2,
3,5,18,22,23,30,47,107,110,111,180],[1,2,3,5,9,11,22,28,29,42,99,100,112,
181],[1,2,3,5,10,19,22,28,29,45,99,100,115,182],[1,2,3,5,11,12,13,19,22,28,29,
50,103,106,112,115,183],[1,2,3,5,11,12,13,19,22,28,29,50,104,105,112,115,
184],[1,2,3,4,5,16,22,25,26,28,30,75,99,111,113,114,185],[1,2,3,5,22,27,28,99,
102,186],[1,2,3,5,22,28,31,99,101,187],[1,2,3,5,22,27,28,31,99,101,102,188],[
1,2,3,5,22,27,29,30,100,102,111,189],[1,2,3,5,22,29,30,31,100,101,111,190],[1,
5,12,14,29,61,104,191],[1,5,13,15,29,62,103,192],[1,5,12,14,28,61,105,193],[1,
5,13,15,28,62,106,194],[1,3,5,12,17,21,24,28,59,105,195],[1,3,5,13,18,20,23,
28,60,106,196],[1,3,5,12,23,31,44,116,197],[1,3,5,13,24,31,43,117,198],[1,3,5,
12,17,21,24,29,59,104,199],[1,3,5,13,18,20,23,29,60,103,200],[1,3,5,13,18,20,
23,31,60,116,201],[1,3,5,12,17,21,24,31,59,117,202],[1,2,3,5,11,14,21,22,27,
30,52,102,111,203],[1,2,3,5,11,15,20,22,27,30,51,102,111,204],[1,2,3,5,11,14,
21,22,30,31,52,101,111,205],[1,2,3,5,11,15,20,22,30,31,51,101,111,206],[1,3,5,
12,17,21,24,30,59,109,207],[1,3,5,13,18,20,23,30,60,110,208],[1,3,5,13,18,20,
23,28,29,60,103,106,209],[1,3,5,12,17,21,24,28,29,59,104,105,210],[1,2,3,4,5,
16,22,25,26,29,31,75,100,101,211],[1,2,3,4,5,16,22,25,26,27,29,75,100,102,
212],[1,2,3,5,18,22,23,27,31,47,101,102,213],[1,2,3,5,17,22,24,27,31,46,101,
102,214],[1,2,3,5,10,19,22,27,30,45,102,111,215],[1,5,13,14,17,30,48,109,
216],[1,5,12,15,18,30,49,110,217],[1,2,3,5,11,12,13,19,22,27,31,50,101,102,
218],[1,2,3,5,9,11,22,30,31,42,101,111,219],[1,5,12,14,28,29,61,104,105,220],[
1,5,13,15,28,29,62,103,106,221],[1,3,5,15,19,20,23,30,31,74,107,116,222],[1,3,
5,14,19,21,24,30,31,73,108,117,223],[1,3,5,10,20,23,30,31,58,107,116,224],[1,
3,5,10,21,24,30,31,57,108,117,225],[1,3,5,12,17,21,23,24,28,44,59,77,78,105,
226],[1,3,5,13,18,20,23,24,28,43,60,77,79,106,227],[1,3,5,13,15,24,29,43,62,
81,103,228],[1,3,5,12,14,23,29,44,61,82,104,229],[1,5,13,14,15,17,29,48,62,88,
103,230],[1,5,12,14,15,18,29,49,61,89,104,231],[1,3,5,12,15,17,18,21,24,28,49,
59,79,80,105,232],[1,3,5,13,14,17,18,20,23,28,48,60,78,80,106,233],[1,2,3,4,5,
16,22,25,26,28,75,92,99,234],[1,2,3,4,5,11,14,16,21,22,25,26,31,52,75,94,101,
235],[1,2,3,4,5,11,15,16,20,22,25,26,31,51,75,95,101,236],[1,2,3,4,5,11,15,16,
20,22,25,26,27,51,75,98,102,237],[1,2,3,4,5,11,14,16,21,22,25,26,27,52,75,98,
102,238],[1,3,5,12,15,17,18,21,24,29,49,59,81,88,104,239],[1,3,5,13,14,17,18,
20,23,29,48,60,82,89,103,240],[1,5,12,14,15,18,28,49,61,83,84,105,241],[1,5,
13,14,15,17,28,48,62,83,84,106,242],[1,2,3,4,5,16,17,22,24,25,26,30,46,75,85,
96,111,243],[1,2,3,4,5,16,18,22,23,25,26,30,47,75,86,97,111,244],[1,3,4,5,13,
24,25,26,30,43,71,90,96,108,245],[1,3,4,5,12,23,25,26,30,44,72,91,97,107,
246],[1,3,4,5,13,18,20,23,25,26,30,60,72,86,90,107,247],[1,3,4,5,12,17,21,24,
25,26,30,59,71,85,91,108,248],[1,3,4,5,12,17,21,24,26,30,54,59,91,96,109,
249],[1,3,4,5,13,18,20,23,26,30,53,60,90,97,110,250],[1,4,5,13,14,17,26,30,48,
54,85,90,109,251],[1,4,5,12,15,18,26,30,49,53,86,91,110,252],[1,2,3,4,5,10,16,
19,22,25,26,31,45,75,87,93,101,253],[1,2,3,5,11,14,15,20,21,22,28,51,52,83,84,
99,254],[1,2,3,5,11,15,17,20,22,24,29,46,51,81,88,100,255],[1,2,3,5,11,14,18,
21,22,23,29,47,52,82,89,100,256],[1,2,3,4,5,11,12,13,16,19,22,25,26,30,50,75,
90,91,111,257],[1,2,3,4,5,9,11,16,22,25,26,27,42,75,76,98,102,258],[1,2,3,5,
17,18,22,23,24,28,46,47,77,78,79,80,99,259],[1,3,5,14,15,17,18,19,20,21,28,29,
67,68,80,83,88,89,115,260],[1,3,5,14,15,18,19,20,21,24,28,29,68,69,79,81,84,
89,115,261],[1,3,5,14,15,17,19,20,21,23,28,29,67,70,78,82,84,88,115,262],[1,3,
4,5,10,21,24,25,26,31,57,71,87,94,117,263],[1,3,4,5,10,20,23,25,26,31,58,72,
87,95,116,264],[1,2,3,5,11,14,15,20,21,22,23,24,28,29,65,66,77,81,82,84,112,
265],[1,3,4,5,23,24,25,26,28,30,71,72,77,92,96,97,114,266],[1,4,5,17,18,26,28,
30,53,54,80,85,86,92,114,267],[1,3,4,5,17,23,25,26,28,30,54,72,78,85,92,97,
113,268],[1,3,4,5,18,24,25,26,28,30,53,71,79,86,92,96,113,269],[1,2,3,5,11,14,
15,18,21,22,24,28,29,56,66,79,81,83,89,112,270],[1,2,3,5,11,14,15,17,20,22,23,
28,29,55,65,78,82,83,88,112,271],[1,3,5,14,15,19,20,21,23,24,28,29,69,70,77,
81,82,83,115,272],[1,3,4,5,14,19,21,24,25,26,31,71,73,93,94,117,273],[1,3,4,5,
15,19,20,23,25,26,31,72,74,93,95,116,274],[1,2,5,11,14,15,17,18,28,29,55,56,
80,84,88,89,112,275],[1,2,3,5,22,28,30,99,111,118,276],[1,4,5,17,18,26,28,30,
80,85,86,109,110,113,118,277],[1,3,4,5,18,24,26,28,30,79,86,96,108,110,114,
118,278],[1,3,4,5,17,23,26,28,30,78,85,97,107,109,114,118,279],[1,4,5,12,26,
28,30,91,92,105,113,114,118,280],[1,4,5,13,26,28,30,90,92,106,113,114,118,
281],[1,3,4,5,23,24,26,28,30,77,96,97,107,108,113,118,282],[1,5,12,29,104,119,
283],[1,5,13,29,103,119,284],[1,2,3,5,22,29,100,119,285],[1,3,6,33,120,286],[
1,5,6,37,120,287],[1,4,6,7,35,36,121,288],[1,2,6,38,120,289],[1,4,6,36,40,120,
290],[1,4,6,7,35,40,121,291],[1,4,6,8,34,40,122,292],[1,3,6,7,33,39,121,293],[
1,2,9,32,125,294],[1,2,5,11,32,124,125,295],[1,2,3,5,22,32,123,124,125,296],[
1,5,30,32,124,297],[1,3,31,32,123,298],[1,6,41,299],[1,8,41,300],[1,8,41,
301],[1,2,4,8,9,16,27,34,76,127,302],[1,2,4,7,9,16,27,35,76,126,303],[1,3,5,6,
18,24,28,33,79,132,304],[1,3,5,6,17,23,28,33,78,131,305],[1,5,6,17,18,28,37,
80,131,306],[1,5,6,17,18,28,37,80,132,307],[1,5,6,15,17,29,37,88,131,308],[1,
5,6,14,18,29,37,89,132,309],[1,4,5,6,17,26,30,36,85,131,310],[1,4,5,6,18,26,
30,36,86,132,311],[1,4,5,7,13,26,30,35,90,133,312],[1,4,5,7,12,26,30,35,91,
134,313],[1,3,4,7,10,25,31,35,87,129,314],[1,3,4,7,10,25,31,35,87,130,315],[1,
3,4,6,10,25,31,36,87,128,316],[1,2,3,5,6,18,22,23,38,47,132,317],[1,2,3,5,6,
17,22,24,38,46,131,318],[1,3,5,7,10,20,23,39,58,130,319],[1,3,5,7,10,21,24,39,
57,129,320],[1,2,3,5,7,9,11,22,39,42,126,321],[1,2,5,6,11,14,17,38,55,131,
322],[1,2,5,6,11,15,18,38,56,132,323],[1,2,3,5,6,10,19,22,38,45,128,324],[1,3,
5,7,12,23,39,44,134,325],[1,3,5,7,13,24,39,43,133,326],[1,4,5,6,17,26,40,54,
131,327],[1,4,5,6,18,26,40,53,132,328],[1,3,5,7,12,15,20,39,63,134,329],[1,3,
5,7,13,14,21,39,64,133,330],[1,2,3,5,6,9,11,22,33,37,38,42,135,141,142,331],[
1,2,3,4,5,6,16,22,25,26,33,36,37,38,40,75,137,140,142,144,145,332],[1,2,4,6,9,
16,27,36,38,76,135,138,140,333],[1,2,4,5,6,11,16,27,37,38,40,98,137,138,141,
334],[1,3,4,7,10,25,31,35,39,87,136,139,143,335],[1,2,3,5,6,22,27,33,37,38,
102,138,142,146,336],[1,2,4,5,6,11,16,27,36,37,38,98,140,141,146,337],[1,2,4,
6,9,16,27,38,40,76,135,137,146,338],[1,6,7,8,120,121,122,339],[1,2,9,41,147,
340],[1,2,4,16,41,147,148,341],[1,2,27,41,147,342],[1,3,7,32,39,123,149,343],[
1,2,3,5,9,10,11,12,13,15,18,19,20,22,23,42,44,45,47,49,50,51,56,58,60,62,63,
65,68,70,74,150,160,161,164,165,171,344],[1,2,3,5,9,10,11,12,13,14,17,19,21,
22,24,42,43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,150,159,162,163,166,172,
345],[1,2,3,5,11,12,13,15,18,19,20,22,23,49,50,51,56,60,62,63,65,68,70,74,151,
164,167,169,171,346],[1,2,3,5,11,12,13,14,17,19,21,22,24,48,50,52,55,59,61,64,
66,67,69,73,152,163,168,170,172,347],[1,2,3,5,10,11,12,13,14,17,19,21,22,24,
43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,153,156,162,166,168,170,172,
348],[1,2,3,5,10,11,12,13,15,18,19,20,22,23,44,45,47,49,50,51,56,58,60,62,63,
65,68,70,74,154,155,161,165,167,169,171,349],[1,2,3,4,5,9,11,14,16,17,21,22,
24,25,26,27,42,46,52,54,55,66,71,75,76,98,102,158,159,173,238,258,350],[1,2,3,
4,5,9,11,15,16,18,20,22,23,25,26,27,42,47,51,53,56,65,72,75,76,98,102,157,160,
174,237,258,351],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,28,48,49,50,51,52,
55,56,61,62,67,68,83,84,99,105,106,163,164,177,241,242,254,352],[1,2,3,5,11,
12,13,14,15,17,18,19,20,21,22,23,24,28,43,44,46,47,48,49,50,59,60,65,66,69,70,
77,78,79,80,99,105,106,161,162,177,226,227,232,233,259,353],[1,2,3,5,11,12,13,
14,15,17,18,19,20,21,22,24,29,43,46,48,49,50,51,56,59,62,66,68,69,81,88,100,
103,104,162,164,178,228,230,239,255,354],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,23,29,44,47,48,49,50,52,55,60,61,65,67,70,82,89,100,103,104,161,163,178,
229,231,240,256,355],[1,2,3,4,5,10,11,14,16,17,19,21,22,24,25,26,31,45,46,52,
54,57,66,67,69,71,73,75,87,93,94,101,117,158,166,176,235,253,263,273,356],[1,
2,3,4,5,10,11,15,16,18,19,20,22,23,25,26,31,45,47,51,53,58,65,68,70,72,74,75,
87,93,95,101,116,157,165,175,236,253,264,274,357],[1,2,3,4,5,11,12,13,14,16,
17,19,21,22,24,25,26,30,43,46,48,50,54,59,66,69,71,75,85,90,91,96,108,109,111,
158,162,179,243,245,248,249,251,257,358],[1,2,3,4,5,11,12,13,15,16,18,19,20,
22,23,25,26,30,44,47,49,50,53,60,65,70,72,75,86,90,91,97,107,110,111,157,161,
180,244,246,247,250,252,257,359],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,23,
24,28,29,43,46,48,50,51,56,59,60,62,63,65,66,68,69,70,74,77,79,81,82,83,84,89,
103,106,112,115,162,171,183,227,228,240,242,261,265,270,272,360],[1,2,3,5,11,
12,13,14,15,17,18,19,20,21,22,23,24,28,29,44,47,49,50,52,55,59,60,61,64,65,66,
67,69,70,73,77,78,81,82,83,84,88,104,105,112,115,161,172,184,226,229,239,241,
262,265,271,272,361],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,23,28,29,48,50,
51,52,55,56,60,61,62,63,65,67,68,70,74,78,80,82,83,84,88,89,103,106,112,115,
163,171,183,230,233,240,242,260,262,271,275,362],[1,2,3,5,11,12,13,14,15,17,
18,19,20,21,22,24,28,29,49,50,51,52,55,56,59,61,62,64,66,67,68,69,73,79,80,81,
83,84,88,89,104,105,112,115,164,172,184,231,232,239,241,260,261,270,275,363],[
1,2,3,4,5,16,17,18,22,23,24,25,26,28,30,46,47,53,54,71,72,75,77,78,79,80,85,
86,92,96,97,99,111,113,114,157,158,185,234,243,244,259,266,267,268,269,364],[
1,2,3,5,9,11,14,15,17,18,20,21,22,23,24,28,29,42,46,47,51,52,55,56,65,66,77,
78,79,80,81,82,83,84,88,89,99,100,112,159,160,181,254,255,256,259,265,270,271,
275,365],[1,2,3,5,10,11,14,15,17,18,19,20,21,22,23,24,28,29,45,46,47,51,52,57,
58,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,115,165,166,
182,254,255,256,259,260,261,262,272,366],[1,3,5,13,15,24,29,43,62,81,103,151,
192,228,367],[1,3,5,12,14,23,29,44,61,82,104,152,191,229,368],[1,3,5,10,13,18,
20,23,24,28,43,58,60,77,79,106,154,196,227,369],[1,3,5,10,12,17,21,23,24,28,
44,57,59,77,78,105,153,195,226,370],[1,3,4,5,10,12,17,21,24,26,30,54,57,59,91,
96,109,153,207,249,371],[1,3,4,5,10,13,18,20,23,26,30,53,58,60,90,97,110,154,
208,250,372],[1,5,12,14,15,18,28,29,49,61,83,84,89,104,105,152,193,220,231,
241,373],[1,5,13,14,15,17,28,29,48,62,83,84,88,103,106,151,194,221,230,242,
374],[1,3,5,13,14,15,17,18,19,20,23,29,48,60,62,68,70,74,82,88,89,103,169,192,
200,230,240,375],[1,3,5,12,14,15,17,18,19,21,24,29,49,59,61,67,69,73,81,88,89,
104,170,191,199,231,239,376],[1,3,5,13,15,18,19,20,23,24,28,29,43,60,62,68,70,
74,77,79,81,103,106,169,194,209,227,228,377],[1,3,5,12,14,17,19,21,23,24,28,
29,44,59,61,67,69,73,77,78,82,104,105,170,193,210,226,229,378],[1,3,5,10,12,
15,17,18,21,24,28,29,49,57,59,79,80,81,88,104,105,153,199,210,232,239,379],[1,
3,5,10,13,14,17,18,20,23,28,29,48,58,60,78,80,82,89,103,106,154,200,209,233,
240,380],[1,3,5,12,13,14,17,19,21,23,24,28,29,44,48,59,61,64,67,73,77,78,82,
104,105,168,199,220,226,229,381],[1,3,5,12,13,15,18,19,20,23,24,28,29,43,49,
60,62,63,68,74,77,79,81,103,106,167,200,221,227,228,382],[1,3,5,12,13,14,15,
17,18,19,20,23,28,48,49,60,62,63,68,74,78,80,83,84,106,167,194,196,233,242,
383],[1,3,5,12,13,14,15,17,18,19,21,24,28,48,49,59,61,64,67,73,79,80,83,84,
105,168,193,195,232,241,384],[1,3,5,12,13,14,15,17,18,19,21,24,28,29,48,49,59,
61,64,67,73,81,83,84,88,89,104,105,168,191,210,220,231,239,241,385],[1,3,5,12,
13,14,15,17,18,19,20,23,28,29,48,49,60,62,63,68,74,82,83,84,88,89,103,106,167,
192,209,221,230,240,242,386],[1,3,5,12,14,15,17,18,19,21,24,28,29,49,59,61,67,
69,73,79,80,81,83,84,88,104,105,170,195,210,220,232,239,241,387],[1,3,5,13,14,
15,17,18,19,20,23,28,29,48,60,62,68,70,74,78,80,82,83,84,89,103,106,169,196,
209,221,233,240,242,388],[1,2,3,4,5,11,12,13,15,16,18,19,20,22,25,26,27,30,31,
49,50,51,56,62,68,75,90,91,95,98,101,102,111,164,204,206,218,236,237,257,
389],[1,2,3,4,5,11,12,13,14,16,17,19,21,22,25,26,27,30,31,48,50,52,55,61,67,
75,90,91,94,98,101,102,111,163,203,205,218,235,238,257,390],[1,3,4,5,12,13,14,
17,19,21,24,26,30,48,54,59,61,64,67,73,85,90,91,96,109,168,207,216,249,251,
391],[1,3,4,5,12,13,15,18,19,20,23,26,30,49,53,60,62,63,68,74,86,90,91,97,110,
167,208,217,250,252,392],[1,3,4,5,10,13,18,20,23,25,26,30,31,58,60,72,86,87,
90,95,107,116,154,201,224,247,264,393],[1,3,4,5,10,12,17,21,24,25,26,30,31,57,
59,71,85,87,91,94,108,117,153,202,225,248,263,394],[1,3,4,5,10,13,14,19,21,24,
25,26,30,31,43,57,64,69,71,73,87,90,93,94,96,108,117,156,198,223,225,245,263,
273,395],[1,3,4,5,10,12,15,19,20,23,25,26,30,31,44,58,63,70,72,74,87,91,93,95,
97,107,116,155,197,222,224,246,264,274,396],[1,3,4,5,12,13,14,17,19,21,24,25,
26,30,31,48,59,61,64,67,71,73,85,91,93,94,108,117,168,202,223,248,273,397],[1,
3,4,5,12,13,15,18,19,20,23,25,26,30,31,49,60,62,63,68,72,74,86,90,93,95,107,
116,167,201,222,247,274,398],[1,2,3,4,5,10,11,15,16,18,19,20,22,23,25,26,27,
30,31,45,47,51,58,65,68,70,74,75,86,87,93,97,98,101,102,111,165,206,213,215,
237,244,253,399],[1,2,3,4,5,10,11,14,16,17,19,21,22,24,25,26,27,30,31,45,46,
52,57,66,67,69,73,75,85,87,93,96,98,101,102,111,166,205,214,215,238,243,253,
400],[1,2,3,4,5,9,10,11,12,13,16,19,22,25,26,27,30,31,42,45,50,75,76,87,90,91,
93,98,101,102,111,150,215,218,219,253,257,258,401],[1,2,3,4,5,11,14,16,18,21,
22,23,25,26,27,29,31,47,52,53,72,75,82,89,94,98,100,101,102,157,211,212,213,
235,238,256,402],[1,2,3,4,5,11,15,16,17,20,22,24,25,26,27,29,31,46,51,54,71,
75,81,88,95,98,100,101,102,158,211,212,214,236,237,255,403],[1,2,3,4,5,9,11,
15,16,18,20,22,23,25,26,27,30,31,42,47,51,56,65,75,76,86,95,97,98,101,102,111,
160,204,213,219,236,244,258,404],[1,2,3,4,5,9,11,14,16,17,21,22,24,25,26,27,
30,31,42,46,52,55,66,75,76,85,94,96,98,101,102,111,159,203,214,219,235,243,
258,405],[1,2,3,5,9,10,11,12,13,19,22,28,29,42,45,50,99,100,103,104,105,106,
112,115,150,177,178,181,182,183,184,406],[1,2,3,5,10,19,22,28,29,45,99,100,
115,182,407],[1,2,3,5,9,11,22,28,29,42,99,100,112,181,408],[1,2,3,4,5,11,12,
13,16,19,22,25,26,28,30,50,75,90,91,92,99,105,106,111,113,114,118,177,185,234,
257,276,280,281,409],[1,2,3,4,5,16,17,18,22,23,24,25,26,28,30,46,47,75,77,78,
79,80,85,86,96,97,99,107,108,109,110,111,113,114,118,179,180,185,243,244,259,
276,277,278,279,282,410],[1,2,3,4,5,10,16,19,22,25,26,28,29,31,45,75,87,92,93,
99,100,101,115,182,187,211,234,253,411],[1,2,3,4,5,9,11,16,22,25,26,27,28,29,
42,75,76,92,98,99,100,102,112,181,186,212,234,258,412],[1,2,3,4,5,11,14,16,18,
21,22,23,25,26,27,29,30,47,52,75,82,86,89,97,98,100,102,111,174,189,203,212,
238,244,256,413],[1,2,3,4,5,11,15,16,17,20,22,24,25,26,27,29,30,46,51,75,81,
85,88,96,98,100,102,111,173,189,204,212,237,243,255,414],[1,2,3,4,5,11,14,16,
18,21,22,23,25,26,29,30,31,47,52,75,82,86,89,94,97,100,101,111,116,175,190,
205,211,235,244,256,415],[1,2,3,4,5,11,15,16,17,20,22,24,25,26,29,30,31,46,51,
75,81,85,88,95,96,100,101,111,117,176,190,206,211,236,243,255,416],[1,2,3,4,5,
11,14,15,16,20,21,22,25,26,27,28,30,51,52,75,83,84,98,99,102,111,113,114,185,
186,203,204,237,238,254,417],[1,2,3,4,5,11,14,15,16,20,21,22,25,26,28,30,31,
51,52,75,83,84,94,95,99,101,111,113,114,185,187,205,206,235,236,254,418],[1,2,
3,5,9,11,22,28,29,30,31,42,99,100,101,111,112,118,181,187,190,219,276,419],[1,
2,3,5,10,19,22,27,28,29,30,45,99,100,102,111,115,118,182,186,189,215,276,
420],[1,2,3,5,11,12,13,19,22,27,28,31,50,99,101,102,105,106,177,186,187,188,
218,421],[1,2,3,5,11,12,13,15,18,19,20,22,23,31,44,47,49,50,60,65,70,101,116,
161,175,197,201,422],[1,2,3,5,11,12,13,14,17,19,21,22,24,31,43,46,48,50,59,66,
69,101,117,162,176,198,202,423],[1,2,3,5,11,12,13,15,18,19,20,22,23,27,31,44,
47,49,50,60,65,70,101,102,116,161,174,175,213,218,424],[1,2,3,5,11,12,13,14,
17,19,21,22,24,27,31,43,46,48,50,59,66,69,101,102,117,162,173,176,214,218,
425],[1,2,3,5,10,11,15,18,19,20,22,23,27,30,45,47,51,58,65,68,70,74,102,107,
110,111,165,174,180,204,215,426],[1,2,3,5,10,11,14,17,19,21,22,24,27,30,45,46,
52,57,66,67,69,73,102,108,109,111,166,173,179,203,215,427],[1,2,3,5,10,11,14,
17,19,21,22,24,30,31,45,46,52,57,66,67,69,73,101,108,109,111,117,166,176,179,
223,225,428],[1,2,3,5,10,11,15,18,19,20,22,23,30,31,45,47,51,58,65,68,70,74,
101,107,110,111,116,165,175,180,222,224,429],[1,2,3,5,11,12,13,15,18,19,20,22,
23,28,29,50,51,56,60,62,63,65,68,70,74,99,103,105,106,112,115,171,177,183,194,
196,209,221,430],[1,2,3,5,11,12,13,14,17,19,21,22,24,28,29,50,52,55,59,61,64,
66,67,69,73,99,104,105,106,112,115,172,177,184,193,195,210,220,431],[1,2,3,5,
11,12,13,14,17,19,21,22,24,28,29,43,46,48,50,59,66,69,104,105,112,115,162,184,
195,199,210,432],[1,2,3,5,11,12,13,15,18,19,20,22,23,28,29,44,47,49,50,60,65,
70,103,106,112,115,161,183,196,200,209,433],[1,2,3,5,11,12,13,14,17,19,21,22,
28,29,48,50,52,55,61,67,104,105,112,115,163,184,191,193,220,434],[1,2,3,5,11,
12,13,15,18,19,20,22,28,29,49,50,51,56,62,68,103,106,112,115,164,183,192,194,
221,435],[1,2,3,5,11,12,13,15,18,19,20,22,23,30,44,47,49,50,60,65,70,107,110,
111,161,180,208,217,436],[1,2,3,5,11,12,13,14,17,19,21,22,24,30,43,46,48,50,
59,66,69,108,109,111,162,179,207,216,437],[1,2,3,5,9,11,14,17,21,22,24,30,31,
42,46,52,55,66,101,108,109,111,117,159,176,179,205,219,438],[1,2,3,5,9,11,15,
18,20,22,23,30,31,42,47,51,56,65,101,107,110,111,116,160,175,180,206,219,
439],[1,2,3,5,11,12,13,14,17,19,21,22,24,28,29,50,52,55,59,61,64,66,67,69,73,
100,103,104,105,112,115,172,178,184,191,199,210,220,440],[1,2,3,5,11,12,13,15,
18,19,20,22,23,28,29,50,51,56,60,62,63,65,68,70,74,100,103,104,106,112,115,
171,178,183,192,200,209,221,441],[1,2,3,4,5,9,11,16,22,25,26,27,28,29,30,31,
42,75,76,98,99,100,101,102,111,112,113,114,181,185,188,189,211,219,258,442],[
1,2,3,4,5,10,16,19,22,25,26,27,28,29,30,31,45,75,87,93,99,100,101,102,111,113,
114,115,182,185,188,190,212,215,253,443],[1,2,3,5,17,18,22,23,24,27,28,31,46,
47,77,78,79,80,99,101,102,173,174,186,188,213,214,259,444],[1,2,3,5,17,18,22,
23,24,27,28,31,46,47,77,78,79,80,99,101,102,116,117,175,176,187,188,213,214,
259,445],[1,3,4,5,12,17,21,24,25,26,28,30,59,71,85,91,105,108,109,195,207,248,
446],[1,3,4,5,13,18,20,23,25,26,28,30,60,72,86,90,106,107,110,196,208,247,
447],[1,3,4,5,12,17,21,24,25,26,29,30,59,71,85,91,104,108,109,199,207,248,
448],[1,3,4,5,13,18,20,23,25,26,29,30,60,72,86,90,103,107,110,200,208,247,
449],[1,3,4,5,12,17,21,24,26,29,30,31,54,59,91,96,104,109,117,199,202,249,
450],[1,3,4,5,13,18,20,23,26,29,30,31,53,60,90,97,103,110,116,200,201,250,
451],[1,3,5,13,14,17,18,20,23,28,30,31,48,60,78,80,106,110,116,201,208,233,
452],[1,3,5,12,15,17,18,21,24,28,30,31,49,59,79,80,105,109,117,202,207,232,
453],[1,3,4,5,12,17,21,24,26,28,30,31,54,59,91,96,105,109,117,195,202,249,
454],[1,3,4,5,13,18,20,23,26,28,30,31,53,60,90,97,106,110,116,196,201,250,
455],[1,3,5,12,17,21,23,24,28,30,31,44,59,77,78,105,109,117,202,207,226,456],[
1,3,5,13,18,20,23,24,28,30,31,43,60,77,79,106,110,116,201,208,227,457],[1,3,5,
12,14,23,29,31,44,61,82,104,116,197,229,458],[1,3,5,13,15,24,29,31,43,62,81,
103,117,198,228,459],[1,5,13,14,15,17,29,30,48,62,88,103,109,216,230,460],[1,
5,12,14,15,18,29,30,49,61,89,104,110,217,231,461],[1,2,3,5,9,11,22,28,29,42,
99,100,112,119,181,285,462],[1,2,3,5,10,19,22,28,29,45,99,100,115,119,182,285,
463],[1,2,3,5,11,14,15,20,21,22,27,28,30,31,51,52,83,84,99,101,102,111,118,
188,203,204,205,206,254,276,464],[1,2,3,4,5,11,12,13,16,19,22,25,26,27,29,30,
31,50,75,90,91,100,101,102,103,104,111,178,189,190,211,212,218,257,465],[1,2,
3,5,11,15,17,20,22,24,27,29,30,31,46,51,81,88,100,101,102,108,109,111,179,189,
190,204,206,214,255,466],[1,2,3,5,11,14,18,21,22,23,27,29,30,31,47,52,82,89,
100,101,102,107,110,111,180,189,190,203,205,213,256,467],[1,5,12,14,15,18,29,
49,61,89,104,119,231,283,468],[1,5,13,14,15,17,29,48,62,88,103,119,230,284,
469],[1,3,5,12,14,23,29,44,61,82,104,119,229,283,470],[1,3,5,13,15,24,29,43,
62,81,103,119,228,284,471],[1,2,3,4,5,11,14,15,16,20,21,22,25,26,27,28,31,51,
52,75,83,84,92,94,95,98,99,101,102,188,234,235,236,237,238,254,472],[1,3,4,5,
12,15,17,18,21,24,25,26,28,30,49,53,54,59,71,79,80,85,86,91,92,96,105,108,109,
110,113,114,118,232,248,249,252,267,269,277,278,280,473],[1,3,4,5,13,14,17,18,
20,23,25,26,28,30,48,53,54,60,72,78,80,85,86,90,92,97,106,107,109,110,113,114,
118,233,247,250,251,267,268,277,279,281,474],[1,3,4,5,12,17,21,23,24,25,26,28,
30,44,54,59,71,72,77,78,85,91,92,96,97,105,107,108,109,113,114,118,226,246,
248,249,266,268,279,280,282,475],[1,3,4,5,13,18,20,23,24,25,26,28,30,43,53,60,
71,72,77,79,86,90,92,96,97,106,107,108,110,113,114,118,227,245,247,250,266,
269,278,281,282,476],[1,2,3,5,11,12,13,19,22,29,50,100,103,104,119,178,283,
284,285,477],[1,2,6,9,38,120,135,289,478],[1,2,5,6,11,37,38,120,141,287,289,
479],[1,2,3,5,6,22,33,37,38,120,142,286,287,289,480],[1,2,6,7,9,38,121,126,
135,481],[1,2,6,8,9,38,122,127,135,482],[1,3,6,7,10,39,121,128,129,130,136,
483],[1,5,6,29,37,120,287,484],[1,5,6,28,37,120,287,485],[1,2,4,6,16,36,38,40,
120,137,140,289,290,486],[1,3,4,6,25,33,36,40,120,144,286,290,487],[1,4,5,6,
26,36,37,40,120,145,287,290,488],[1,3,4,6,7,25,33,35,36,39,40,121,143,144,288,
291,293,489],[1,2,6,27,38,120,138,146,289,490],[1,2,3,5,9,11,22,32,42,123,124,
125,294,295,296,491],[1,2,3,5,22,31,32,101,123,124,125,296,298,492],[1,2,3,5,
22,30,32,111,123,124,125,296,297,493],[1,2,6,38,41,147,299,494],[1,4,6,40,41,
148,299,495],[1,4,8,34,41,148,301,496],[1,3,5,6,10,13,18,20,23,58,60,128,132,
154,497],[1,3,5,6,10,12,17,21,24,57,59,128,131,153,498],[1,2,3,5,7,9,10,11,12,
13,19,22,42,45,50,126,129,133,150,499],[1,2,3,5,7,9,10,11,12,13,19,22,42,45,
50,126,130,134,150,500],[1,5,7,12,14,61,134,152,501],[1,5,7,13,15,62,133,151,
502],[1,3,5,7,10,13,18,20,23,58,60,129,133,154,503],[1,3,5,7,10,12,17,21,24,
57,59,130,134,153,504],[1,3,5,7,10,13,18,20,23,39,58,60,130,136,154,319,505],[
1,3,5,7,10,12,17,21,24,39,57,59,129,136,153,320,506],[1,3,5,7,10,12,15,19,20,
23,39,44,58,63,70,74,134,136,155,325,329,507],[1,3,5,7,10,13,14,19,21,24,39,
43,57,64,69,73,133,136,156,326,330,508],[1,2,3,5,6,9,10,11,12,13,19,22,38,42,
45,50,128,135,150,324,509],[1,2,3,5,7,9,10,11,12,13,19,22,39,42,45,50,126,136,
150,321,510],[1,2,3,4,5,6,16,17,22,24,25,26,38,40,46,54,71,75,131,137,158,318,
327,511],[1,2,3,4,5,6,16,18,22,23,25,26,38,40,47,53,72,75,132,137,157,317,328,
512],[1,2,3,5,6,9,11,14,17,21,22,24,38,42,46,52,55,66,131,135,159,318,322,
513],[1,2,3,5,6,9,11,15,18,20,22,23,38,42,47,51,56,65,132,135,160,317,323,
514],[1,2,3,5,6,17,22,24,27,31,38,46,101,102,131,138,214,318,515],[1,2,3,5,6,
18,22,23,27,31,38,47,101,102,132,138,213,317,516],[1,3,5,7,13,24,31,39,43,117,
133,139,198,326,517],[1,3,5,7,12,23,31,39,44,116,134,139,197,325,518],[1,3,5,
7,10,20,23,30,31,39,58,107,116,130,139,224,319,519],[1,3,5,7,10,21,24,30,31,
39,57,108,117,129,139,225,320,520],[1,2,3,5,7,9,11,22,30,31,39,42,101,111,126,
139,219,321,521],[1,2,3,5,6,10,19,22,27,30,38,45,102,111,128,138,215,324,
522],[1,2,3,5,6,17,18,22,23,24,28,33,37,38,46,47,77,78,79,80,99,131,142,259,
305,306,318,523],[1,2,3,5,6,17,18,22,23,24,28,33,37,38,46,47,77,78,79,80,99,
132,142,259,304,307,317,524],[1,2,3,5,6,11,15,17,20,22,24,29,37,38,46,51,81,
88,100,131,141,255,308,318,525],[1,2,3,5,6,11,14,18,21,22,23,29,37,38,47,52,
82,89,100,132,141,256,309,317,526],[1,2,3,4,5,6,16,17,22,24,25,26,30,36,38,46,
75,85,96,111,131,140,243,310,318,527],[1,2,3,4,5,6,16,18,22,23,25,26,30,36,38,
47,75,86,97,111,132,140,244,311,317,528],[1,2,3,5,6,11,14,15,17,20,22,23,28,
29,33,37,38,55,65,78,82,83,88,112,131,142,271,305,308,322,529],[1,2,3,5,6,11,
14,15,18,21,22,24,28,29,33,37,38,56,66,79,81,83,89,112,132,142,270,304,309,
323,530],[1,4,5,6,17,18,26,28,30,36,37,40,53,54,80,85,86,92,114,131,145,267,
306,310,327,531],[1,4,5,6,17,18,26,28,30,36,37,40,53,54,80,85,86,92,114,132,
145,267,307,311,328,532],[1,2,3,4,5,7,9,11,16,22,25,26,27,35,39,42,75,76,98,
102,126,143,258,303,321,533],[1,3,4,5,6,17,23,25,26,28,30,33,36,40,54,72,78,
85,92,97,113,131,144,268,305,310,327,534],[1,3,4,5,6,18,24,25,26,28,30,33,36,
40,53,71,79,86,92,96,113,132,144,269,304,311,328,535],[1,3,4,5,7,12,23,25,26,
30,35,39,44,72,91,97,107,134,143,246,313,325,536],[1,3,4,5,7,13,24,25,26,30,
35,39,43,71,90,96,108,133,143,245,312,326,537],[1,3,4,5,7,10,20,23,25,26,31,
35,39,58,72,87,95,116,130,143,264,315,319,538],[1,3,4,5,7,10,21,24,25,26,31,
35,39,57,71,87,94,117,129,143,263,314,320,539],[1,2,3,4,5,6,10,16,19,22,25,26,
31,36,38,45,75,87,93,101,128,140,253,316,324,540],[1,2,5,6,11,14,15,17,18,28,
29,37,38,55,56,80,84,88,89,112,131,141,275,306,308,322,541],[1,2,5,6,11,14,15,
17,18,28,29,37,38,55,56,80,84,88,89,112,132,141,275,307,309,323,542],[1,2,3,5,
6,17,22,24,27,38,46,102,131,146,173,318,543],[1,2,3,5,6,18,22,23,27,38,47,102,
132,146,174,317,544],[1,2,3,4,5,6,9,11,16,22,25,26,27,33,36,37,38,40,42,75,76,
98,102,135,137,138,140,141,142,144,145,146,258,331,332,333,334,336,337,338,
545],[1,4,6,7,8,35,36,40,120,121,122,288,290,339,546],[1,3,6,7,8,33,39,120,
121,122,286,293,339,547],[1,4,6,7,8,34,35,36,40,120,121,122,290,291,292,339,
548],[1,2,4,9,16,27,41,76,147,148,340,341,342,549],[1,3,6,10,32,33,123,128,
550],[1,5,6,17,32,37,124,131,551],[1,5,6,18,32,37,124,132,552],[1,2,7,9,32,
125,126,149,294,553],[1,3,7,31,32,39,123,139,149,298,343,554],[1,6,8,41,122,
299,300,301,555],[1,2,3,5,9,10,11,12,13,14,17,19,21,22,24,42,43,45,46,48,50,
52,55,57,59,61,64,66,67,69,73,150,152,153,156,159,162,163,166,168,170,172,345,
347,348,556],[1,2,3,5,9,10,11,12,13,15,18,19,20,22,23,42,44,45,47,49,50,51,56,
58,60,62,63,65,68,70,74,150,151,154,155,160,161,164,165,167,169,171,344,346,
349,557],[1,2,3,5,9,10,11,12,13,19,22,28,29,42,45,50,99,100,103,104,105,106,
112,115,150,177,178,181,182,183,184,406,407,558],[1,2,3,5,9,10,11,12,13,19,22,
28,29,42,45,50,99,100,103,104,105,106,112,115,150,177,178,181,182,183,184,406,
408,559],[1,2,3,5,10,11,12,13,15,18,19,20,22,23,27,31,44,45,47,49,50,51,56,58,
60,62,63,65,68,70,74,101,102,116,154,155,161,165,167,169,171,174,175,197,201,
213,218,349,422,424,560],[1,2,3,5,10,11,12,13,14,17,19,21,22,24,27,31,43,45,
46,48,50,52,55,57,59,61,64,66,67,69,73,101,102,117,153,156,162,166,168,170,
172,173,176,198,202,214,218,348,423,425,561],[1,2,3,5,10,11,12,13,15,18,19,20,
22,23,27,30,31,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,101,102,107,110,
111,116,154,155,161,165,167,169,171,174,175,180,204,208,213,215,217,218,222,
224,349,424,426,429,436,562],[1,2,3,5,10,11,12,13,14,17,19,21,22,24,27,30,31,
43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,101,102,108,109,111,117,153,156,
162,166,168,170,172,173,176,179,203,207,214,215,216,218,223,225,348,425,427,
428,437,563],[1,2,3,5,9,10,11,12,13,14,17,19,21,22,24,30,31,42,43,45,46,48,50,
52,55,57,59,61,64,66,67,69,73,101,108,109,111,117,150,159,162,163,166,172,176,
179,198,202,205,207,216,219,223,225,345,423,428,437,438,564],[1,2,3,5,9,10,11,
12,13,15,18,19,20,22,23,30,31,42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,
101,107,110,111,116,150,160,161,164,165,171,175,180,197,201,206,208,217,219,
222,224,344,422,429,436,439,565],[1,2,3,4,5,10,11,12,13,14,16,17,19,21,22,24,
25,26,30,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,85,90,91,96,
108,109,111,153,156,158,162,166,168,170,172,179,207,216,243,245,248,249,251,
257,348,358,371,391,437,566],[1,2,3,4,5,10,11,12,13,15,16,18,19,20,22,23,25,
26,30,44,45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,86,90,91,97,107,
110,111,154,155,157,161,165,167,169,171,180,208,217,244,246,247,250,252,257,
349,359,372,392,436,567],[1,2,3,4,5,10,11,12,13,14,16,17,19,21,22,24,25,26,30,
31,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,85,87,90,91,93,94,96,
101,108,109,111,117,153,156,158,162,166,168,170,172,176,179,198,202,223,225,
235,243,245,248,249,251,253,257,263,273,348,356,358,394,395,397,423,428,568],[
1,2,3,4,5,10,11,12,13,15,16,18,19,20,22,23,25,26,30,31,44,45,47,49,50,51,53,
56,58,60,62,63,65,68,70,72,74,75,86,87,90,91,93,95,97,101,107,110,111,116,154,
155,157,161,165,167,169,171,175,180,197,201,222,224,236,244,246,247,250,252,
253,257,264,274,349,357,359,393,396,398,422,429,569],[1,2,3,4,5,9,10,11,12,13,
15,16,18,19,20,22,23,25,26,27,30,31,42,44,45,47,49,50,51,53,56,58,60,62,63,65,
68,70,72,74,75,76,86,87,90,91,93,95,97,98,101,102,107,110,111,116,150,157,160,
161,164,165,171,174,175,180,204,206,213,215,218,219,236,237,244,246,247,250,
252,253,257,258,264,274,344,351,357,359,389,399,401,404,424,426,439,570],[1,2,
3,4,5,9,10,11,12,13,14,16,17,19,21,22,24,25,26,27,30,31,42,43,45,46,48,50,52,
54,55,57,59,61,64,66,67,69,71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,
109,111,117,150,158,159,162,163,166,172,173,176,179,203,205,214,215,218,219,
235,238,243,245,248,249,251,253,257,258,263,273,345,350,356,358,390,400,401,
405,425,427,438,571],[1,2,3,5,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,
43,44,45,46,47,48,49,50,51,56,58,59,60,62,63,65,66,68,69,70,74,77,78,79,80,81,
82,83,84,89,99,103,105,106,112,115,154,155,161,162,165,167,169,171,177,183,
194,196,200,209,221,226,227,228,232,233,240,242,259,261,265,270,272,349,353,
360,369,377,380,382,383,388,430,433,572],[1,2,3,5,10,11,12,13,14,15,17,18,19,
20,21,22,23,24,28,29,43,44,45,46,47,48,49,50,52,55,57,59,60,61,64,65,66,67,69,
70,73,77,78,79,80,81,82,83,84,88,99,104,105,106,112,115,153,156,161,162,166,
168,170,172,177,184,193,195,199,210,220,226,227,229,232,233,239,241,259,262,
265,271,272,348,353,361,370,378,379,381,384,387,431,432,573],[1,2,3,5,11,12,
13,14,15,17,18,19,20,21,22,23,24,28,29,43,46,48,49,50,51,56,59,60,62,63,65,66,
68,69,70,74,77,79,81,82,83,84,88,89,100,103,104,106,112,115,151,162,164,167,
169,171,178,183,192,194,200,209,221,227,228,230,239,240,242,255,261,265,270,
272,346,354,360,367,374,375,377,382,386,435,441,574],[1,2,3,5,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,
73,77,78,81,82,83,84,88,89,100,103,104,105,112,115,152,161,163,168,170,172,
178,184,191,193,199,210,220,226,229,231,239,240,241,256,262,265,271,272,347,
355,361,368,373,376,378,381,385,434,440,575],[1,2,3,5,11,12,13,14,15,17,18,19,
20,21,22,23,28,29,48,49,50,51,52,55,56,60,61,62,63,65,67,68,70,74,78,80,82,83,
84,88,89,99,103,105,106,112,115,151,163,164,167,169,171,177,183,192,194,196,
209,221,230,233,240,241,242,254,260,262,271,275,346,352,362,374,383,386,388,
430,435,576],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,24,28,29,48,49,50,51,
52,55,56,59,61,62,64,66,67,68,69,73,79,80,81,83,84,88,89,99,104,105,106,112,
115,152,163,164,168,170,172,177,184,191,193,195,210,220,231,232,239,241,242,
254,260,261,270,275,347,352,363,373,384,385,387,431,434,577],[1,2,3,5,10,11,
12,13,14,15,17,18,19,20,21,22,23,28,29,44,45,47,48,49,50,51,52,55,56,58,60,61,
62,63,65,67,68,70,74,78,80,82,83,84,88,89,100,103,104,106,112,115,154,155,161,
163,165,167,169,171,178,183,192,196,200,209,221,229,230,231,233,240,242,256,
260,262,271,275,349,355,362,375,380,386,388,433,441,578],[1,2,3,5,10,11,12,13,
14,15,17,18,19,20,21,22,24,28,29,43,45,46,48,49,50,51,52,55,56,57,59,61,62,64,
66,67,68,69,73,79,80,81,83,84,88,89,100,103,104,105,112,115,153,156,162,164,
166,168,170,172,178,184,191,195,199,210,220,228,230,231,232,239,241,255,260,
261,270,275,348,354,363,376,379,385,387,432,440,579],[1,2,3,5,11,12,13,14,15,
17,18,19,20,21,22,23,24,27,28,31,43,44,46,47,48,49,50,59,60,65,66,69,70,77,78,
79,80,99,101,102,105,106,116,117,161,162,173,174,175,176,177,186,187,188,213,
214,218,226,227,232,233,259,353,421,424,425,444,445,580],[1,2,3,5,9,10,11,12,
13,14,15,17,18,19,20,21,22,23,24,28,29,42,43,44,45,46,47,48,49,50,51,52,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,
99,100,103,104,105,106,112,115,150,159,160,161,162,163,164,165,166,171,172,
177,178,181,182,183,184,226,227,228,229,230,231,232,233,239,240,241,242,254,
255,256,259,260,261,262,265,270,271,272,275,344,345,352,353,354,355,360,361,
362,363,365,366,406,581],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,24,29,31,
43,46,48,49,50,51,56,59,62,66,68,69,81,88,100,101,103,104,117,162,164,176,178,
198,202,228,230,239,255,354,423,459,582],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,23,29,31,44,47,48,49,50,52,55,60,61,65,67,70,82,89,100,101,103,104,116,
161,163,175,178,197,201,229,231,240,256,355,422,458,583],[1,2,3,5,11,12,13,14,
15,17,18,19,20,21,22,24,29,30,43,46,48,49,50,51,56,59,62,66,68,69,81,88,100,
103,104,108,109,111,162,164,178,179,207,216,228,230,239,255,354,437,460,584],[
1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,23,29,30,44,47,48,49,50,52,55,60,61,
65,67,70,82,89,100,103,104,107,110,111,161,163,178,180,208,217,229,231,240,
256,355,436,461,585],[1,2,3,4,5,11,12,13,14,16,17,19,21,22,24,25,26,28,29,30,
31,43,46,48,50,54,59,66,69,71,75,85,90,91,96,101,104,105,108,109,111,112,115,
117,158,162,176,179,184,195,198,199,202,210,243,245,248,249,251,257,358,423,
432,450,454,586],[1,2,3,4,5,11,12,13,15,16,18,19,20,22,23,25,26,28,29,30,31,
44,47,49,50,53,60,65,70,72,75,86,90,91,97,101,103,106,107,110,111,112,115,116,
157,161,175,180,183,196,197,200,201,209,244,246,247,250,252,257,359,422,433,
451,455,587],[1,2,3,4,5,11,12,13,14,16,17,19,21,22,24,25,26,28,29,30,43,46,48,
50,54,59,66,69,71,75,85,90,91,96,104,105,108,109,111,112,115,158,162,179,184,
195,199,207,210,216,243,245,248,249,251,257,358,432,437,446,448,588],[1,2,3,4,
5,11,12,13,15,16,18,19,20,22,23,25,26,28,29,30,44,47,49,50,53,60,65,70,72,75,
86,90,91,97,103,106,107,110,111,112,115,157,161,180,183,196,200,208,209,217,
244,246,247,250,252,257,359,433,436,447,449,589],[1,2,3,5,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,30,31,43,44,46,47,48,49,50,59,60,65,66,69,70,77,78,79,
80,99,101,105,106,107,110,111,116,161,162,175,177,180,197,201,208,217,226,227,
232,233,259,353,422,436,452,457,590],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,
22,23,24,28,30,31,43,44,46,47,48,49,50,59,60,65,66,69,70,77,78,79,80,99,101,
105,106,108,109,111,117,161,162,176,177,179,198,202,207,216,226,227,232,233,
259,353,423,437,453,456,591],[1,2,3,5,9,10,11,12,13,14,17,19,21,22,24,28,29,
42,43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,99,100,103,104,105,106,112,
115,150,159,162,163,166,172,177,178,181,182,183,184,191,193,195,199,210,220,
345,406,431,432,434,440,592],[1,2,3,5,9,10,11,12,13,15,18,19,20,22,23,28,29,
42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,99,100,103,104,105,106,112,
115,150,160,161,164,165,171,177,178,181,182,183,184,192,194,196,200,209,221,
344,406,430,433,435,441,593],[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,30,43,44,46,47,48,49,50,53,54,59,60,65,66,69,70,71,72,75,77,78,
79,80,85,86,90,91,92,96,97,99,105,106,107,108,109,110,111,113,114,118,157,158,
161,162,177,179,180,185,226,227,232,233,234,243,244,245,246,247,248,249,250,
251,252,257,259,266,267,268,269,276,277,278,279,280,281,282,353,358,359,364,
409,410,473,474,475,476,594],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,24,29,
43,46,48,49,50,51,56,59,62,66,68,69,81,88,100,103,104,119,162,164,178,228,230,
239,255,283,284,285,354,469,471,477,595],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,23,29,44,47,48,49,50,52,55,60,61,65,67,70,82,89,100,103,104,119,161,163,
178,229,231,240,256,283,284,285,355,468,470,477,596],[1,2,3,5,11,12,13,14,17,
19,21,22,24,27,28,29,30,31,43,46,48,50,59,66,69,101,102,104,105,108,109,111,
112,115,117,162,173,176,179,184,195,199,207,210,214,216,218,425,432,437,597],[
1,2,3,5,11,12,13,15,18,19,20,22,23,27,28,29,30,31,44,47,49,50,60,65,70,101,
102,103,106,107,110,111,112,115,116,161,174,175,180,183,196,200,208,209,213,
217,218,424,433,436,598],[1,2,3,5,11,12,13,14,17,19,21,22,24,27,28,29,31,43,
46,48,50,59,66,69,101,102,104,105,112,115,117,162,173,176,184,195,198,199,202,
210,214,218,423,425,432,599],[1,2,3,5,11,12,13,15,18,19,20,22,23,27,28,29,31,
44,47,49,50,60,65,70,101,102,103,106,112,115,116,161,174,175,183,196,197,200,
201,209,213,218,422,424,433,600],[1,2,3,5,9,10,11,12,13,19,22,28,29,42,45,50,
99,100,103,104,105,106,112,115,119,150,177,178,181,182,183,184,283,284,285,
406,462,463,477,601],[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,25,26,27,
28,30,31,48,49,50,51,52,55,56,61,62,67,68,75,83,84,90,91,92,94,95,98,99,101,
102,105,106,111,113,114,118,163,164,177,185,186,187,188,203,204,205,206,218,
234,235,236,237,238,241,242,254,257,276,280,281,352,389,390,409,417,418,421,
464,472,602],[1,2,3,4,5,9,10,11,12,13,16,19,22,25,26,27,28,29,30,31,42,45,50,
75,76,87,90,91,92,93,98,99,100,101,102,103,104,105,106,111,112,113,114,115,
118,150,177,178,181,182,183,184,185,186,187,188,189,190,211,212,215,218,219,
234,253,257,258,276,280,281,401,406,409,411,412,419,420,421,442,443,465,603],[
1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,44,47,48,
49,50,52,53,55,60,61,65,67,70,72,75,82,86,89,90,91,94,97,98,100,101,102,103,
104,107,110,111,116,157,161,163,174,175,178,180,189,190,203,205,211,212,213,
218,229,231,235,238,240,244,246,247,250,252,256,257,355,359,390,402,413,415,
424,465,467,604],[1,2,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,
29,30,31,43,46,48,49,50,51,54,56,59,62,66,68,69,71,75,81,85,88,90,91,95,96,98,
100,101,102,103,104,108,109,111,117,158,162,164,173,176,178,179,189,190,204,
206,211,212,214,218,228,230,236,237,239,243,245,248,249,251,255,257,354,358,
389,403,414,416,425,465,466,605],[1,3,4,5,12,13,14,15,17,18,19,20,23,25,26,28,
30,31,48,49,53,54,60,62,63,68,72,74,78,80,83,84,85,86,90,91,92,93,95,97,106,
107,109,110,113,114,116,118,167,194,196,201,208,217,222,233,242,247,250,251,
252,267,268,274,277,279,281,383,392,398,447,452,455,474,606],[1,3,4,5,12,13,
14,15,17,18,19,21,24,25,26,28,30,31,48,49,53,54,59,61,64,67,71,73,79,80,83,84,
85,86,90,91,92,93,94,96,105,108,109,110,113,114,117,118,168,193,195,202,207,
216,223,232,241,248,249,251,252,267,269,273,277,278,280,384,391,397,446,453,
454,473,607],[1,3,4,5,10,12,15,17,18,21,24,25,26,28,29,30,31,49,53,54,57,59,
71,79,80,81,85,86,87,88,91,92,94,96,104,105,108,109,110,113,114,117,118,153,
199,202,207,210,225,232,239,248,249,252,263,267,269,277,278,280,371,379,394,
448,450,453,473,608],[1,3,4,5,10,13,14,17,18,20,23,25,26,28,29,30,31,48,53,54,
58,60,72,78,80,82,85,86,87,89,90,92,95,97,103,106,107,109,110,113,114,116,118,
154,200,201,208,209,224,233,240,247,250,251,264,267,268,277,279,281,372,380,
393,449,451,452,474,609],[1,3,4,5,10,13,18,20,23,24,25,26,28,30,31,43,53,58,
60,71,72,77,79,86,87,90,92,95,96,97,106,107,108,110,113,114,116,118,154,196,
201,208,224,227,245,247,250,264,266,269,278,281,282,369,372,393,447,455,457,
476,610],[1,3,4,5,10,12,17,21,23,24,25,26,28,30,31,44,54,57,59,71,72,77,78,85,
87,91,92,94,96,97,105,107,108,109,113,114,117,118,153,195,202,207,225,226,246,
248,249,263,266,268,279,280,282,370,371,394,446,454,456,475,611],[1,3,4,5,12,
13,14,17,19,21,23,24,25,26,28,29,30,31,44,48,54,59,61,64,67,71,72,73,77,78,82,
85,90,91,92,93,94,96,97,104,105,107,108,109,113,114,117,118,168,199,202,207,
216,220,223,226,229,246,248,249,251,266,268,273,279,280,282,381,391,397,448,
450,456,475,612],[1,3,4,5,12,13,15,18,19,20,23,24,25,26,28,29,30,31,43,49,53,
60,62,63,68,71,72,74,77,79,81,86,90,91,92,93,95,96,97,103,106,107,108,110,113,
114,116,118,167,200,201,208,217,221,222,227,228,245,247,250,252,266,269,274,
278,281,282,382,392,398,449,451,457,476,613],[1,5,13,14,15,17,28,29,30,48,62,
83,84,88,103,106,109,119,151,194,216,221,230,242,284,374,460,469,614],[1,5,12,
14,15,18,28,29,30,49,61,83,84,89,104,105,110,119,152,193,217,220,231,241,283,
373,461,468,615],[1,3,5,12,14,15,17,18,19,21,24,29,30,49,59,61,67,69,73,81,88,
89,104,110,119,170,191,199,217,231,239,283,376,461,468,616],[1,3,5,13,14,15,
17,18,19,20,23,29,30,48,60,62,68,70,74,82,88,89,103,109,119,169,192,200,216,
230,240,284,375,460,469,617],[1,3,5,12,14,23,29,31,44,61,82,104,116,119,152,
191,197,229,283,368,458,470,618],[1,3,5,13,15,24,29,31,43,62,81,103,117,119,
151,192,198,228,284,367,459,471,619],[1,3,5,12,14,17,19,21,23,24,28,29,31,44,
59,61,67,69,73,77,78,82,104,105,116,119,170,193,197,210,226,229,283,378,458,
470,620],[1,3,5,13,15,18,19,20,23,24,28,29,31,43,60,62,68,70,74,77,79,81,103,
106,117,119,169,194,198,209,227,228,284,377,459,471,621],[1,2,3,5,10,19,22,27,
28,29,30,45,99,100,102,111,115,118,119,182,186,189,215,276,285,407,420,463,
622],[1,2,3,5,9,11,22,28,29,30,31,42,99,100,101,111,112,118,119,181,187,190,
219,276,285,408,419,462,623],[1,2,3,4,5,9,11,14,15,16,17,18,20,21,22,23,24,25,
26,27,28,29,30,31,42,46,47,51,52,55,56,65,66,75,76,77,78,79,80,81,82,83,84,85,
86,88,89,94,95,96,97,98,99,100,101,102,107,108,109,110,111,112,113,114,116,
117,118,159,160,175,176,179,180,181,185,187,188,189,190,203,204,205,206,211,
213,214,219,235,236,243,244,254,255,256,258,259,265,270,271,275,276,277,278,
279,282,365,404,405,410,415,416,418,419,438,439,442,445,464,466,467,624],[1,2,
3,4,5,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,45,46,47,51,
52,57,58,65,66,67,68,69,70,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,93,
96,97,98,99,100,101,102,107,108,109,110,111,113,114,115,118,165,166,173,174,
179,180,182,185,186,188,189,190,203,204,205,206,212,213,214,215,237,238,243,
244,253,254,255,256,259,260,261,262,272,276,277,278,279,282,366,399,400,410,
413,414,417,420,426,427,443,444,464,466,467,625],[1,2,3,4,5,10,11,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,45,46,47,51,52,53,54,57,58,65,66,67,
68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,92,93,94,95,96,
97,98,99,100,101,102,111,113,114,115,116,117,157,158,165,166,175,176,182,185,
187,188,190,205,206,211,212,213,214,215,234,235,236,237,238,243,244,253,254,
255,256,259,260,261,262,263,264,266,267,268,269,272,273,274,356,357,364,366,
399,400,402,403,411,415,416,418,443,445,472,626],[1,2,3,4,5,9,11,14,15,16,17,
18,20,21,22,23,24,25,26,27,28,29,30,31,42,46,47,51,52,53,54,55,56,65,66,71,72,
75,76,77,78,79,80,81,82,83,84,85,86,88,89,92,94,95,96,97,98,99,100,101,102,
111,112,113,114,157,158,159,160,173,174,181,185,186,188,189,203,204,211,212,
213,214,219,234,235,236,237,238,243,244,254,255,256,258,259,265,266,267,268,
269,270,271,275,350,351,364,365,402,403,404,405,412,413,414,417,442,444,472,
627],[1,2,3,4,5,10,16,19,22,25,26,28,29,31,45,75,87,92,93,99,100,101,115,119,
182,187,211,234,253,285,407,411,463,628],[1,2,3,4,5,9,11,16,22,25,26,27,28,29,
42,75,76,92,98,99,100,102,112,119,181,186,212,234,258,285,408,412,462,629],[1,
2,3,5,6,9,11,22,33,37,38,42,120,135,141,142,286,287,289,331,478,479,480,630],[
1,2,3,5,6,22,28,33,37,38,99,120,142,286,287,289,480,485,631],[1,2,3,5,6,22,29,
33,37,38,100,120,142,286,287,289,480,484,632],[1,2,5,6,11,28,29,37,38,112,120,
141,287,289,479,484,485,633],[1,2,4,6,7,9,16,27,35,36,38,76,121,126,135,138,
140,288,303,333,481,634],[1,3,4,6,7,10,25,31,35,36,39,87,121,128,129,130,136,
139,143,288,314,315,316,335,483,635],[1,2,3,5,6,22,27,33,37,38,102,120,138,
142,146,286,287,289,336,480,490,636],[1,2,3,4,5,6,16,22,25,26,33,36,37,38,40,
75,120,137,140,142,144,145,286,287,289,290,332,480,486,487,488,637],[1,4,5,6,
26,28,36,37,40,92,120,145,287,290,485,488,638],[1,2,3,5,6,7,9,11,22,33,37,38,
39,42,121,126,135,141,142,293,321,331,481,639],[1,2,4,6,7,9,16,27,35,38,40,76,
121,126,135,137,146,291,303,338,481,640],[1,2,4,6,8,9,16,27,34,38,40,76,122,
127,135,137,146,292,302,338,482,641],[1,5,6,29,37,119,120,287,484,642],[1,2,4,
5,6,11,16,27,36,37,38,40,98,120,137,138,140,141,146,287,289,290,334,337,479,
486,490,643],[1,2,4,6,9,16,27,36,38,40,76,120,135,137,138,140,146,289,290,333,
338,478,486,490,644],[1,5,13,15,32,62,151,645],[1,5,12,14,32,61,152,646],[1,2,
3,5,9,11,22,30,31,32,42,101,111,123,124,125,219,294,295,296,297,298,491,492,
493,647],[1,2,6,9,38,41,135,147,299,340,494,648],[1,2,4,6,16,38,40,41,137,147,
148,299,341,494,495,649],[1,2,8,9,41,127,147,301,340,650],[1,2,8,9,41,127,147,
300,340,651],[1,2,6,27,38,41,146,147,299,342,494,652],[1,3,5,6,10,12,17,21,23,
24,28,33,44,57,59,77,78,105,128,131,153,195,226,305,370,498,653],[1,3,5,6,10,
13,18,20,23,24,28,33,43,58,60,77,79,106,128,132,154,196,227,304,369,497,654],[
1,3,5,6,10,13,14,17,18,20,23,28,29,37,48,58,60,78,80,82,89,103,106,128,132,
154,200,209,233,240,307,309,380,497,655],[1,3,5,6,10,12,15,17,18,21,24,28,29,
37,49,57,59,79,80,81,88,104,105,128,131,153,199,210,232,239,306,308,379,498,
656],[1,3,4,5,7,10,13,18,20,23,26,30,35,53,58,60,90,97,110,129,133,154,208,
250,312,372,503,657],[1,3,4,5,7,10,12,17,21,24,26,30,35,54,57,59,91,96,109,
130,134,153,207,249,313,371,504,658],[1,3,4,5,6,10,12,17,21,24,25,26,30,31,36,
57,59,71,85,87,91,94,108,117,128,131,153,202,225,248,263,310,316,394,498,
659],[1,3,4,5,6,10,13,18,20,23,25,26,30,31,36,58,60,72,86,87,90,95,107,116,
128,132,154,201,224,247,264,311,316,393,497,660],[1,3,4,5,7,10,12,17,21,24,25,
26,30,31,35,57,59,71,85,87,91,94,108,117,130,134,153,202,225,248,263,313,315,
394,504,661],[1,3,4,5,7,10,13,18,20,23,25,26,30,31,35,58,60,72,86,87,90,95,
107,116,129,133,154,201,224,247,264,312,314,393,503,662],[1,2,3,4,5,7,9,10,11,
12,13,16,19,22,25,26,27,30,31,35,42,45,50,75,76,87,90,91,93,98,101,102,111,
126,130,134,150,215,218,219,253,257,258,303,313,315,401,500,663],[1,2,3,4,5,7,
9,10,11,12,13,16,19,22,25,26,27,30,31,35,42,45,50,75,76,87,90,91,93,98,101,
102,111,126,129,133,150,215,218,219,253,257,258,303,312,314,401,499,664],[1,2,
3,5,6,10,11,12,13,14,17,19,21,22,24,38,43,45,46,48,50,52,55,57,59,61,64,66,67,
69,73,128,131,153,156,162,166,168,170,172,318,322,324,348,498,665],[1,2,3,5,6,
10,11,12,13,15,18,19,20,22,23,38,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,
128,132,154,155,161,165,167,169,171,317,323,324,349,497,666],[1,2,3,5,7,9,10,
11,12,13,15,18,19,20,22,23,39,42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,
126,130,134,150,160,161,164,165,171,319,321,325,329,344,500,667],[1,2,3,5,7,9,
10,11,12,13,14,17,19,21,22,24,39,42,43,45,46,48,50,52,55,57,59,61,64,66,67,69,
73,126,129,133,150,159,162,163,166,172,320,321,326,330,345,499,668],[1,2,3,5,
6,10,19,22,28,29,38,45,99,100,115,128,182,324,407,669],[1,2,3,5,7,9,11,22,28,
29,39,42,99,100,112,126,181,321,408,670],[1,3,4,5,6,10,12,17,21,24,26,30,40,
54,57,59,91,96,109,128,131,153,207,249,327,371,498,671],[1,3,4,5,6,10,13,18,
20,23,26,30,40,53,58,60,90,97,110,128,132,154,208,250,328,372,497,672],[1,3,5,
7,13,15,24,29,39,43,62,81,103,133,151,192,228,326,367,502,673],[1,3,5,7,12,14,
23,29,39,44,61,82,104,134,152,191,229,325,368,501,674],[1,3,5,7,10,13,18,20,
23,24,28,39,43,58,60,77,79,106,129,133,154,196,227,326,369,503,675],[1,3,5,7,
10,12,17,21,23,24,28,39,44,57,59,77,78,105,130,134,153,195,226,325,370,504,
676],[1,2,3,4,5,6,16,17,18,22,23,24,25,26,28,30,33,36,37,38,40,46,47,53,54,71,
72,75,77,78,79,80,85,86,92,96,97,99,111,113,114,131,137,140,142,144,145,157,
158,185,234,243,244,259,266,267,268,269,305,306,310,318,327,332,364,511,523,
527,531,534,677],[1,2,3,4,5,6,16,17,18,22,23,24,25,26,28,30,33,36,37,38,40,46,
47,53,54,71,72,75,77,78,79,80,85,86,92,96,97,99,111,113,114,132,137,140,142,
144,145,157,158,185,234,243,244,259,266,267,268,269,304,307,311,317,328,332,
364,512,524,528,532,535,678],[1,2,3,5,6,9,11,14,15,17,18,20,21,22,23,24,28,29,
33,37,38,42,46,47,51,52,55,56,65,66,77,78,79,80,81,82,83,84,88,89,99,100,112,
132,135,141,142,159,160,181,254,255,256,259,265,270,271,275,304,307,309,317,
323,331,365,514,524,526,530,542,679],[1,2,3,5,6,9,11,14,15,17,18,20,21,22,23,
24,28,29,33,37,38,42,46,47,51,52,55,56,65,66,77,78,79,80,81,82,83,84,88,89,99,
100,112,131,135,141,142,159,160,181,254,255,256,259,265,270,271,275,305,306,
308,318,322,331,365,513,523,525,529,541,680],[1,2,3,4,5,6,11,15,16,17,20,22,
24,25,26,27,29,31,37,38,40,46,51,54,71,75,81,88,95,98,100,101,102,131,137,138,
141,158,211,212,214,236,237,255,308,318,327,334,403,511,515,525,681],[1,2,3,4,
5,6,11,14,16,18,21,22,23,25,26,27,29,31,37,38,40,47,52,53,72,75,82,89,94,98,
100,101,102,132,137,138,141,157,211,212,213,235,238,256,309,317,328,334,402,
512,516,526,682],[1,2,3,4,5,6,9,11,14,16,17,21,22,24,25,26,27,30,31,36,38,42,
46,52,55,66,75,76,85,94,96,98,101,102,111,131,135,138,140,159,203,214,219,235,
243,258,310,318,322,333,405,513,515,527,683],[1,2,3,4,5,6,9,11,15,16,18,20,22,
23,25,26,27,30,31,36,38,42,47,51,56,65,75,76,86,95,97,98,101,102,111,132,135,
138,140,160,204,213,219,236,244,258,311,317,323,333,404,514,516,528,684],[1,3,
4,5,7,10,12,17,21,24,25,26,30,31,35,39,57,59,71,85,87,91,94,108,117,129,136,
139,143,153,202,225,248,263,314,320,335,394,506,520,539,685],[1,3,4,5,7,10,13,
18,20,23,25,26,30,31,35,39,58,60,72,86,87,90,95,107,116,130,136,139,143,154,
201,224,247,264,315,319,335,393,505,519,538,686],[1,3,4,5,7,10,12,15,19,20,23,
25,26,30,31,35,39,44,58,63,70,72,74,87,91,93,95,97,107,116,134,136,139,143,
155,197,222,224,246,264,274,313,325,329,335,396,507,518,536,687],[1,3,4,5,7,
10,13,14,19,21,24,25,26,30,31,35,39,43,57,64,69,71,73,87,90,93,94,96,108,117,
133,136,139,143,156,198,223,225,245,263,273,312,326,330,335,395,508,517,537,
688],[1,2,3,4,5,7,9,10,11,12,13,16,19,22,25,26,27,30,31,35,39,42,45,50,75,76,
87,90,91,93,98,101,102,111,126,136,139,143,150,215,218,219,253,257,258,303,
321,335,401,510,521,533,689],[1,2,3,4,5,6,9,10,11,12,13,16,19,22,25,26,27,30,
31,36,38,42,45,50,75,76,87,90,91,93,98,101,102,111,128,135,138,140,150,215,
218,219,253,257,258,316,324,333,401,509,522,540,690],[1,2,3,5,6,17,18,22,23,
24,27,28,31,33,37,38,46,47,77,78,79,80,99,101,102,131,138,142,146,173,174,186,
188,213,214,259,305,306,318,336,444,515,523,543,691],[1,2,3,5,6,17,18,22,23,
24,27,28,31,33,37,38,46,47,77,78,79,80,99,101,102,132,138,142,146,173,174,186,
188,213,214,259,304,307,317,336,444,516,524,544,692],[1,2,3,4,5,6,9,11,15,16,
18,20,22,23,25,26,27,38,40,42,47,51,53,56,65,72,75,76,98,102,132,135,137,146,
157,160,174,237,258,317,323,328,338,351,512,514,544,693],[1,2,3,4,5,6,9,11,14,
16,17,21,22,24,25,26,27,38,40,42,46,52,54,55,66,71,75,76,98,102,131,135,137,
146,158,159,173,238,258,318,322,327,338,350,511,513,543,694],[1,2,3,4,5,6,11,
15,16,17,20,22,24,25,26,27,29,30,36,37,38,46,51,75,81,85,88,96,98,100,102,111,
131,140,141,146,173,189,204,212,237,243,255,308,310,318,337,414,525,527,543,
695],[1,2,3,4,5,6,11,14,16,18,21,22,23,25,26,27,29,30,36,37,38,47,52,75,82,86,
89,97,98,100,102,111,132,140,141,146,174,189,203,212,238,244,256,309,311,317,
337,413,526,528,544,696],[1,2,6,7,8,9,38,120,121,122,126,127,135,289,339,478,
481,482,697],[1,3,4,6,7,8,25,33,34,35,36,39,40,120,121,122,143,144,286,288,
290,291,292,293,339,487,489,546,547,548,698],[1,2,3,5,6,10,19,22,32,33,37,38,
45,123,124,125,128,142,296,324,550,699],[1,2,3,5,6,18,22,23,32,33,37,38,47,
123,124,125,132,142,296,317,552,700],[1,2,3,5,6,17,22,24,32,33,37,38,46,123,
124,125,131,142,296,318,551,701],[1,2,5,6,11,14,17,32,37,38,55,124,125,131,
141,295,322,551,702],[1,2,5,6,11,15,18,32,37,38,56,124,125,132,141,295,323,
552,703],[1,2,3,5,7,9,11,22,32,39,42,123,124,125,126,149,294,295,296,321,343,
491,553,704],[1,4,5,6,17,26,30,32,36,37,40,85,124,131,145,297,310,551,705],[1,
4,5,6,18,26,30,32,36,37,40,86,124,132,145,297,311,552,706],[1,3,4,6,10,25,31,
32,33,36,40,87,123,128,144,298,316,550,707],[1,4,6,8,34,40,41,122,148,292,299,
300,301,495,496,555,708],[1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
28,29,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,
150,151,154,155,159,160,161,162,163,164,165,166,167,169,171,172,177,178,181,
182,183,184,192,194,196,200,209,221,226,227,228,229,230,231,232,233,239,240,
241,242,254,255,256,259,260,261,262,265,270,271,272,275,344,345,346,349,352,
353,354,355,360,361,362,363,365,366,367,369,374,375,377,380,382,383,386,388,
406,430,433,435,441,557,572,574,576,578,581,593,709],[1,2,3,5,9,10,11,12,13,
14,15,17,18,19,20,21,22,23,24,28,29,42,43,44,45,46,47,48,49,50,51,52,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,103,104,105,106,112,115,150,152,153,156,159,160,161,162,163,164,165,166,
168,170,171,172,177,178,181,182,183,184,191,193,195,199,210,220,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,344,345,347,348,352,353,354,355,360,361,362,363,365,366,368,370,373,
376,378,379,381,384,385,387,406,431,432,434,440,556,573,575,577,579,581,592,
710],[1,2,3,4,5,9,10,11,12,13,14,16,17,19,21,22,24,25,26,27,30,31,42,43,45,46,
48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,76,85,87,90,91,93,94,96,98,101,
102,108,109,111,117,150,152,153,156,158,159,162,163,166,168,170,172,173,176,
179,198,202,203,205,207,214,215,216,218,219,223,225,235,238,243,245,248,249,
251,253,257,258,263,273,345,347,348,350,356,358,371,390,391,394,395,397,400,
401,405,423,425,427,428,437,438,556,561,563,564,566,568,571,711],[1,2,3,4,5,9,
10,11,12,13,15,16,18,19,20,22,23,25,26,27,30,31,42,44,45,47,49,50,51,53,56,58,
60,62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,97,98,101,102,107,110,111,116,
150,151,154,155,157,160,161,164,165,167,169,171,174,175,180,197,201,204,206,
208,213,215,217,218,219,222,224,236,237,244,246,247,250,252,253,257,258,264,
274,344,346,349,351,357,359,372,389,392,393,396,398,399,401,404,422,424,426,
429,436,439,557,560,562,565,567,569,570,712],[1,2,3,5,9,10,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,101,103,104,105,106,108,109,111,112,115,117,150,159,160,161,162,163,164,
165,166,171,172,176,177,178,179,181,182,183,184,198,202,205,207,216,219,223,
225,226,227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,
262,265,270,271,272,275,344,345,352,353,354,355,360,361,362,363,365,366,406,
423,428,437,438,453,456,459,460,564,581,582,584,591,713],[1,2,3,5,9,10,11,12,
13,14,15,17,18,19,20,21,22,23,24,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,
88,89,99,100,101,103,104,105,106,107,110,111,112,115,116,150,159,160,161,162,
163,164,165,166,171,172,175,177,178,180,181,182,183,184,197,201,206,208,217,
219,222,224,226,227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,
260,261,262,265,270,271,272,275,344,345,352,353,354,355,360,361,362,363,365,
366,406,422,429,436,439,452,457,458,461,565,581,583,585,590,714],[1,2,3,5,9,
10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,42,43,44,45,46,47,48,49,50,51,
52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,
84,88,89,99,100,103,104,105,106,112,115,119,150,159,160,161,162,163,164,165,
166,171,172,177,178,181,182,183,184,226,227,228,229,230,231,232,233,239,240,
241,242,254,255,256,259,260,261,262,265,270,271,272,275,283,284,285,344,345,
352,353,354,355,360,361,362,363,365,366,406,462,463,468,469,470,471,477,581,
595,596,601,715],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
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,
110,111,112,113,114,115,116,117,118,150,157,158,159,160,161,162,163,164,165,
166,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,203,204,205,206,211,212,213,214,215,218,219,226,227,228,229,230,231,
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,
270,271,272,273,274,275,276,277,278,279,280,281,282,344,345,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,389,390,399,400,401,402,
403,404,405,406,409,410,411,412,413,414,415,416,417,418,419,420,421,424,425,
426,427,438,439,442,443,444,445,464,465,466,467,472,473,474,475,476,570,571,
580,581,594,602,603,604,605,624,625,626,627,716],[1,2,3,5,9,10,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,
103,104,105,106,112,115,150,159,160,161,162,163,164,165,166,171,172,177,178,
181,182,183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,344,345,352,353,354,355,360,361,362,363,365,366,406,407,408,430,431,
432,433,434,435,440,441,558,559,581,592,593,717],[1,2,3,5,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,30,43,46,48,49,50,51,56,59,60,62,63,65,66,68,69,70,
74,77,79,81,82,83,84,88,89,100,103,104,106,108,109,111,112,115,119,151,162,
164,167,169,171,178,179,183,192,194,200,207,209,216,221,227,228,230,239,240,
242,255,261,265,270,272,283,284,285,346,354,360,367,374,375,377,382,386,435,
437,441,460,469,471,477,574,584,595,614,617,718],[1,2,3,5,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,30,44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,
73,77,78,81,82,83,84,88,89,100,103,104,105,107,110,111,112,115,119,152,161,
163,168,170,172,178,180,184,191,193,199,208,210,217,220,226,229,231,239,240,
241,256,262,265,271,272,283,284,285,347,355,361,368,373,376,378,381,385,434,
436,440,461,468,470,477,575,585,596,615,616,719],[1,2,3,5,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,31,44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,
73,77,78,81,82,83,84,88,89,100,101,103,104,105,112,115,116,119,152,161,163,
168,170,172,175,178,184,191,193,197,199,201,210,220,226,229,231,239,240,241,
256,262,265,271,272,283,284,285,347,355,361,368,373,376,378,381,385,422,434,
440,458,468,470,477,575,583,596,618,620,720],[1,2,3,5,11,12,13,14,15,17,18,19,
20,21,22,23,24,28,29,31,43,46,48,49,50,51,56,59,60,62,63,65,66,68,69,70,74,77,
79,81,82,83,84,88,89,100,101,103,104,106,112,115,117,119,151,162,164,167,169,
171,176,178,183,192,194,198,200,202,209,221,227,228,230,239,240,242,255,261,
265,270,272,283,284,285,346,354,360,367,374,375,377,382,386,423,435,441,459,
469,471,477,574,582,595,619,621,721],[1,2,3,4,5,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,28,29,30,31,43,44,45,46,47,48,49,50,52,53,54,55,57,59,60,
61,64,65,66,67,69,70,71,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,
93,94,96,97,99,101,104,105,106,107,108,109,110,111,112,113,114,115,117,118,
153,156,157,158,161,162,166,168,170,172,176,177,179,180,184,185,193,195,198,
199,202,207,210,216,220,223,225,226,227,229,232,233,234,235,239,241,243,244,
245,246,247,248,249,250,251,252,253,257,259,262,263,265,266,267,268,269,271,
272,273,276,277,278,279,280,281,282,348,353,356,358,359,361,364,370,371,378,
379,381,384,387,391,394,395,397,409,410,423,428,431,432,437,446,448,450,453,
454,456,473,474,475,476,566,568,573,586,588,591,594,607,608,611,612,722],[1,2,
3,4,5,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,43,44,45,
46,47,48,49,50,51,53,54,56,58,59,60,62,63,65,66,68,69,70,71,72,74,75,77,78,79,
80,81,82,83,84,85,86,87,89,90,91,92,93,95,96,97,99,101,103,105,106,107,108,
109,110,111,112,113,114,115,116,118,154,155,157,158,161,162,165,167,169,171,
175,177,179,180,183,185,194,196,197,200,201,208,209,217,221,222,224,226,227,
228,232,233,234,236,240,242,243,244,245,246,247,248,249,250,251,252,253,257,
259,261,264,265,266,267,268,269,270,272,274,276,277,278,279,280,281,282,349,
353,357,358,359,360,364,369,372,377,380,382,383,388,392,393,396,398,409,410,
422,429,430,433,436,447,449,451,452,455,457,473,474,475,476,567,569,572,587,
589,590,594,606,609,610,613,723],[1,2,3,5,10,11,12,13,14,15,17,18,19,20,21,22,
23,24,27,28,29,30,31,43,44,45,46,47,48,49,50,51,56,58,59,60,62,63,65,66,68,69,
70,74,77,78,79,80,81,82,83,84,89,99,101,102,103,105,106,107,110,111,112,115,
116,117,154,155,161,162,165,167,169,171,173,174,175,176,177,180,183,186,187,
188,194,196,197,200,201,204,208,209,213,214,215,217,218,221,222,224,226,227,
228,232,233,240,242,259,261,265,270,272,349,353,360,369,377,380,382,383,388,
421,422,424,425,426,429,430,433,436,444,445,452,457,560,562,572,580,590,598,
600,724],[1,2,3,5,10,11,12,13,14,15,17,18,19,20,21,22,23,24,27,28,29,30,31,43,
44,45,46,47,48,49,50,52,55,57,59,60,61,64,65,66,67,69,70,73,77,78,79,80,81,82,
83,84,88,99,101,102,104,105,106,108,109,111,112,115,116,117,153,156,161,162,
166,168,170,172,173,174,175,176,177,179,184,186,187,188,193,195,198,199,202,
203,207,210,213,214,215,216,218,220,223,225,226,227,229,232,233,239,241,259,
262,265,271,272,348,353,361,370,378,379,381,384,387,421,423,424,425,427,428,
431,432,437,444,445,453,456,561,563,573,580,591,597,599,725],[1,2,3,4,5,10,11,
12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,43,45,46,48,49,50,51,
52,54,55,56,57,59,61,62,64,66,67,68,69,71,73,75,79,80,81,83,84,85,88,89,90,91,
95,96,98,100,101,102,103,104,105,108,109,111,112,115,117,153,156,158,162,164,
166,168,170,172,173,176,178,179,184,189,190,191,195,199,203,204,206,207,210,
211,212,214,215,216,218,220,223,225,228,230,231,232,236,237,239,241,243,245,
248,249,251,255,257,260,261,270,275,348,354,358,363,371,376,379,385,387,389,
391,403,414,416,425,427,428,432,437,440,446,448,460,465,466,563,566,579,584,
588,597,605,726],[1,2,3,4,5,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,
27,28,29,30,31,44,45,47,48,49,50,51,52,53,55,56,58,60,61,62,63,65,67,68,70,72,
74,75,78,80,82,83,84,86,88,89,90,91,94,97,98,100,101,102,103,104,106,107,110,
111,112,115,116,154,155,157,161,163,165,167,169,171,174,175,178,180,183,189,
190,192,196,200,203,204,205,208,209,211,212,213,215,217,218,221,222,224,229,
230,231,233,235,238,240,242,244,246,247,250,252,256,257,260,262,271,275,349,
355,359,362,372,375,380,386,388,390,392,402,413,415,424,426,429,433,436,441,
447,449,461,465,467,562,567,578,585,589,598,604,727],[1,2,3,4,5,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,44,45,47,48,49,50,51,52,53,
55,56,58,60,61,62,63,65,67,68,70,72,74,75,78,80,82,83,84,86,87,88,89,90,91,93,
94,95,97,98,100,101,102,103,104,106,107,110,111,112,115,116,154,155,157,161,
163,165,167,169,171,174,175,178,180,183,189,190,192,196,197,200,201,203,205,
209,211,212,213,218,221,222,224,229,230,231,233,235,236,238,240,242,244,246,
247,250,252,253,256,257,260,262,264,271,274,275,349,355,357,359,362,375,380,
386,388,390,393,396,398,402,413,415,422,424,429,433,441,451,455,458,465,467,
560,569,578,583,587,600,604,728],[1,2,3,4,5,10,11,12,13,14,15,16,17,18,19,20,
21,22,24,25,26,27,28,29,30,31,43,45,46,48,49,50,51,52,54,55,56,57,59,61,62,64,
66,67,68,69,71,73,75,79,80,81,83,84,85,87,88,89,90,91,93,94,95,96,98,100,101,
102,103,104,105,108,109,111,112,115,117,153,156,158,162,164,166,168,170,172,
173,176,178,179,184,189,190,191,195,198,199,202,204,206,210,211,212,214,218,
220,223,225,228,230,231,232,235,236,237,239,241,243,245,248,249,251,253,255,
257,260,261,263,270,273,275,348,354,356,358,363,376,379,385,387,389,394,395,
397,403,414,416,423,425,428,432,440,450,454,459,465,466,561,568,579,582,586,
599,605,729],[1,2,3,4,5,9,10,11,12,13,16,19,22,25,26,27,28,29,30,31,42,45,50,
75,76,87,90,91,92,93,98,99,100,101,102,103,104,105,106,111,112,113,114,115,
118,119,150,177,178,181,182,183,184,185,186,187,188,189,190,211,212,215,218,
219,234,253,257,258,276,280,281,283,284,285,401,406,408,409,411,412,419,420,
421,442,443,462,463,465,477,559,601,603,623,629,730],[1,2,3,4,5,9,10,11,12,13,
16,19,22,25,26,27,28,29,30,31,42,45,50,75,76,87,90,91,92,93,98,99,100,101,102,
103,104,105,106,111,112,113,114,115,118,119,150,177,178,181,182,183,184,185,
186,187,188,189,190,211,212,215,218,219,234,253,257,258,276,280,281,283,284,
285,401,406,407,409,411,412,419,420,421,442,443,462,463,465,477,558,601,603,
622,628,731],[1,2,3,4,5,9,10,11,12,13,14,16,17,19,21,22,24,25,26,27,28,29,30,
31,42,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,76,85,87,90,91,93,
94,96,98,99,100,101,102,103,104,105,106,108,109,111,112,115,117,150,158,159,
162,163,166,172,173,176,177,178,179,181,182,183,184,191,193,195,198,199,202,
203,205,207,210,214,215,216,218,219,220,223,225,235,238,243,245,248,249,251,
253,257,258,263,273,345,350,356,358,390,400,401,405,406,423,425,427,428,431,
432,434,437,438,440,446,448,450,454,564,571,586,588,592,597,599,732],[1,2,3,4,
5,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,28,29,30,31,42,44,45,47,49,50,
51,53,56,58,60,62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,97,98,99,100,101,
102,103,104,105,106,107,110,111,112,115,116,150,157,160,161,164,165,171,174,
175,177,178,180,181,182,183,184,192,194,196,197,200,201,204,206,208,209,213,
215,217,218,219,221,222,224,236,237,244,246,247,250,252,253,257,258,264,274,
344,351,357,359,389,399,401,404,406,422,424,426,429,430,433,435,436,439,441,
447,449,451,455,565,570,587,589,593,598,600,733],[1,2,3,4,5,6,16,22,25,26,28,
33,36,37,38,40,75,92,99,120,137,140,142,144,145,234,286,287,289,290,332,480,
485,486,487,488,631,637,638,734],[1,3,5,6,7,10,12,17,21,24,39,57,59,121,128,
129,130,131,134,136,153,320,483,498,504,506,735],[1,3,5,6,7,10,13,18,20,23,39,
58,60,121,128,129,130,132,133,136,154,319,483,497,503,505,736],[1,2,3,5,6,7,9,
10,11,12,13,19,22,38,39,42,45,50,121,126,128,129,130,133,134,135,136,150,321,
324,481,483,499,500,509,510,737],[1,2,3,5,6,9,11,22,28,29,33,37,38,42,99,100,
112,120,135,141,142,181,286,287,289,331,478,479,480,484,485,630,631,632,633,
738],[1,2,3,5,6,22,27,28,33,37,38,99,102,120,138,142,146,186,286,287,289,336,
480,485,490,631,636,739],[1,2,3,5,6,22,29,33,37,38,100,119,120,142,285,286,
287,289,480,484,632,642,740],[1,2,3,4,5,6,9,11,16,22,25,26,27,33,36,37,38,40,
42,75,76,98,102,120,135,137,138,140,141,142,144,145,146,258,286,287,289,290,
331,332,333,334,336,337,338,478,479,480,486,487,488,490,545,630,636,637,643,
644,741],[1,2,3,4,5,6,16,22,25,26,27,29,33,36,37,38,40,75,100,102,120,137,138,
140,142,144,145,146,212,286,287,289,290,332,336,480,484,486,487,488,490,632,
636,637,742],[1,2,3,4,5,6,7,9,11,16,22,25,26,27,33,35,36,37,38,39,40,42,75,76,
98,102,121,126,135,137,138,140,141,142,143,144,145,146,258,288,291,293,303,
321,331,332,333,334,336,337,338,481,489,533,545,634,639,640,743],[1,3,5,13,15,
24,29,32,43,62,81,103,123,151,192,228,367,645,744],[1,3,5,12,14,23,29,32,44,
61,82,104,123,152,191,229,368,646,745],[1,5,13,14,15,17,28,29,32,48,62,83,84,
88,103,106,124,151,194,221,230,242,374,645,746],[1,5,12,14,15,18,28,29,32,49,
61,83,84,89,104,105,124,152,193,220,231,241,373,646,747],[1,2,3,5,11,12,13,15,
18,19,20,22,23,32,49,50,51,56,60,62,63,65,68,70,74,125,151,164,167,169,171,
346,645,748],[1,2,3,5,11,12,13,14,17,19,21,22,24,32,48,50,52,55,59,61,64,66,
67,69,73,125,152,163,168,170,172,347,646,749],[1,5,6,17,18,28,37,41,80,131,
132,299,306,307,750],[1,2,4,8,9,16,27,34,41,76,127,147,148,301,302,340,341,
342,496,549,650,751],[1,2,4,6,9,16,27,38,40,41,76,135,137,146,147,148,299,338,
340,341,342,494,495,549,648,649,652,752],[1,3,6,7,10,32,33,39,121,123,128,129,
130,136,149,293,343,483,550,753],[1,2,3,5,7,9,10,11,12,13,14,17,19,21,22,24,
42,43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,126,130,134,150,152,153,156,
159,162,163,166,168,170,172,345,347,348,500,501,504,556,754],[1,2,3,5,7,9,10,
11,12,13,15,18,19,20,22,23,42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,
126,129,133,150,151,154,155,160,161,164,165,167,169,171,344,346,349,499,502,
503,557,755],[1,2,3,5,6,9,10,11,12,13,14,17,19,21,22,24,38,42,43,45,46,48,50,
52,55,57,59,61,64,66,67,69,73,128,131,135,150,152,153,156,159,162,163,166,168,
170,172,318,322,324,345,347,348,498,509,513,556,665,756],[1,2,3,5,6,9,10,11,
12,13,15,18,19,20,22,23,38,42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,
128,132,135,150,151,154,155,160,161,164,165,167,169,171,317,323,324,344,346,
349,497,509,514,557,666,757],[1,2,3,5,7,9,10,11,12,13,15,18,19,20,22,23,39,42,
44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,126,130,134,136,150,151,154,155,
160,161,164,165,167,169,171,319,321,325,329,344,346,349,500,505,507,510,557,
667,758],[1,2,3,5,7,9,10,11,12,13,14,17,19,21,22,24,39,42,43,45,46,48,50,52,
55,57,59,61,64,66,67,69,73,126,129,133,136,150,152,153,156,159,162,163,166,
168,170,172,320,321,326,330,345,347,348,499,506,508,510,556,668,759],[1,2,3,5,
6,10,11,12,13,15,18,19,20,22,23,27,30,31,38,44,45,47,49,50,51,56,58,60,62,63,
65,68,70,74,101,102,107,110,111,116,128,132,138,154,155,161,165,167,169,171,
174,175,180,204,208,213,215,217,218,222,224,317,323,324,349,424,426,429,436,
497,516,522,562,666,760],[1,2,3,5,6,10,11,12,13,14,17,19,21,22,24,27,30,31,38,
43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,101,102,108,109,111,117,128,131,
138,153,156,162,166,168,170,172,173,176,179,203,207,214,215,216,218,223,225,
318,322,324,348,425,427,428,437,498,515,522,563,665,761],[1,2,3,5,7,9,10,11,
12,13,14,17,19,21,22,24,30,31,39,42,43,45,46,48,50,52,55,57,59,61,64,66,67,69,
73,101,108,109,111,117,126,129,133,139,150,159,162,163,166,172,176,179,198,
202,205,207,216,219,223,225,320,321,326,330,345,423,428,437,438,499,517,520,
521,564,668,762],[1,2,3,5,7,9,10,11,12,13,15,18,19,20,22,23,30,31,39,42,44,45,
47,49,50,51,56,58,60,62,63,65,68,70,74,101,107,110,111,116,126,130,134,139,
150,160,161,164,165,171,175,180,197,201,206,208,217,219,222,224,319,321,325,
329,344,422,429,436,439,500,518,519,521,565,667,763],[1,2,3,4,5,6,10,11,12,13,
15,16,18,19,20,22,23,25,26,30,38,40,44,45,47,49,50,51,53,56,58,60,62,63,65,68,
70,72,74,75,86,90,91,97,107,110,111,128,132,137,154,155,157,161,165,167,169,
171,180,208,217,244,246,247,250,252,257,317,323,324,328,349,359,372,392,436,
497,512,567,666,672,764],[1,2,3,4,5,6,10,11,12,13,14,16,17,19,21,22,24,25,26,
30,38,40,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,85,90,91,96,
108,109,111,128,131,137,153,156,158,162,166,168,170,172,179,207,216,243,245,
248,249,251,257,318,322,324,327,348,358,371,391,437,498,511,566,665,671,765],[
1,2,3,5,6,10,11,12,13,14,15,17,18,19,20,21,22,23,28,29,37,38,44,45,47,48,49,
50,51,52,55,56,58,60,61,62,63,65,67,68,70,74,78,80,82,83,84,88,89,100,103,104,
106,112,115,128,132,141,154,155,161,163,165,167,169,171,178,183,192,196,200,
209,221,229,230,231,233,240,242,256,260,262,271,275,307,309,317,323,324,349,
355,362,375,380,386,388,433,441,497,526,542,578,655,666,766],[1,2,3,5,6,10,11,
12,13,14,15,17,18,19,20,21,22,24,28,29,37,38,43,45,46,48,49,50,51,52,55,56,57,
59,61,62,64,66,67,68,69,73,79,80,81,83,84,88,89,100,103,104,105,112,115,128,
131,141,153,156,162,164,166,168,170,172,178,184,191,195,199,210,220,228,230,
231,232,239,241,255,260,261,270,275,306,308,318,322,324,348,354,363,376,379,
385,387,432,440,498,525,541,579,656,665,767],[1,2,3,5,6,10,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,33,37,38,43,44,45,46,47,48,49,50,51,56,58,59,60,62,
63,65,66,68,69,70,74,77,78,79,80,81,82,83,84,89,99,103,105,106,112,115,128,
132,142,154,155,161,162,165,167,169,171,177,183,194,196,200,209,221,226,227,
228,232,233,240,242,259,261,265,270,272,304,307,309,317,323,324,349,353,360,
369,377,380,382,383,388,430,433,497,524,530,572,654,655,666,768],[1,2,3,5,6,
10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,33,37,38,43,44,45,46,47,48,49,
50,52,55,57,59,60,61,64,65,66,67,69,70,73,77,78,79,80,81,82,83,84,88,99,104,
105,106,112,115,128,131,142,153,156,161,162,166,168,170,172,177,184,193,195,
199,210,220,226,227,229,232,233,239,241,259,262,265,271,272,305,306,308,318,
322,324,348,353,361,370,378,379,381,384,387,431,432,498,523,529,573,653,656,
665,769],[1,2,3,4,5,6,10,11,12,13,15,16,18,19,20,22,23,25,26,30,31,36,38,44,
45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,86,87,90,91,93,95,97,101,
107,110,111,116,128,132,140,154,155,157,161,165,167,169,171,175,180,197,201,
222,224,236,244,246,247,250,252,253,257,264,274,311,316,317,323,324,349,357,
359,393,396,398,422,429,497,528,540,569,660,666,770],[1,2,3,4,5,6,10,11,12,13,
14,16,17,19,21,22,24,25,26,30,31,36,38,43,45,46,48,50,52,54,55,57,59,61,64,66,
67,69,71,73,75,85,87,90,91,93,94,96,101,108,109,111,117,128,131,140,153,156,
158,162,166,168,170,172,176,179,198,202,223,225,235,243,245,248,249,251,253,
257,263,273,310,316,318,322,324,348,356,358,394,395,397,423,428,498,527,540,
568,659,665,771],[1,2,3,4,5,7,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,30,
31,35,39,42,44,45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,76,86,87,90,
91,93,95,97,98,101,102,107,110,111,116,126,130,134,143,150,157,160,161,164,
165,171,174,175,180,204,206,213,215,218,219,236,237,244,246,247,250,252,253,
257,258,264,274,303,313,315,319,321,325,329,344,351,357,359,389,399,401,404,
424,426,439,500,533,536,538,570,663,667,772],[1,2,3,4,5,7,9,10,11,12,13,14,16,
17,19,21,22,24,25,26,27,30,31,35,39,42,43,45,46,48,50,52,54,55,57,59,61,64,66,
67,69,71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,109,111,117,126,129,133,
143,150,158,159,162,163,166,172,173,176,179,203,205,214,215,218,219,235,238,
243,245,248,249,251,253,257,258,263,273,303,312,314,320,321,326,330,345,350,
356,358,390,400,401,405,425,427,438,499,533,537,539,571,664,668,773],[1,2,3,5,
6,10,11,12,13,15,18,19,20,22,23,27,31,38,44,45,47,49,50,51,56,58,60,62,63,65,
68,70,74,101,102,116,128,132,146,154,155,161,165,167,169,171,174,175,197,201,
213,218,317,323,324,349,422,424,497,544,560,666,774],[1,2,3,5,6,10,11,12,13,
14,17,19,21,22,24,27,31,38,43,45,46,48,50,52,55,57,59,61,64,66,67,69,73,101,
102,117,128,131,146,153,156,162,166,168,170,172,173,176,198,202,214,218,318,
322,324,348,423,425,498,543,561,665,775],[1,2,3,5,6,10,19,22,27,28,29,30,38,
45,99,100,102,111,115,118,119,128,138,182,186,189,215,276,285,324,407,420,463,
522,622,669,776],[1,2,3,5,7,9,11,22,28,29,30,31,39,42,99,100,101,111,112,118,
119,126,139,181,187,190,219,276,285,321,408,419,462,521,623,670,777],[1,3,4,5,
6,10,13,14,17,18,20,23,25,26,28,29,30,31,36,37,40,48,53,54,58,60,72,78,80,82,
85,86,87,89,90,92,95,97,103,106,107,109,110,113,114,116,118,128,132,145,154,
200,201,208,209,224,233,240,247,250,251,264,267,268,277,279,281,307,309,311,
316,328,372,380,393,449,451,452,474,497,532,609,655,660,672,778],[1,3,4,5,6,
10,12,15,17,18,21,24,25,26,28,29,30,31,36,37,40,49,53,54,57,59,71,79,80,81,85,
86,87,88,91,92,94,96,104,105,108,109,110,113,114,117,118,128,131,145,153,199,
202,207,210,225,232,239,248,249,252,263,267,269,277,278,280,306,308,310,316,
327,371,379,394,448,450,453,473,498,531,608,656,659,671,779],[1,3,4,5,6,10,13,
18,20,23,24,25,26,28,30,31,33,36,40,43,53,58,60,71,72,77,79,86,87,90,92,95,96,
97,106,107,108,110,113,114,116,118,128,132,144,154,196,201,208,224,227,245,
247,250,264,266,269,278,281,282,304,311,316,328,369,372,393,447,455,457,476,
497,535,610,654,660,672,780],[1,3,4,5,6,10,12,17,21,23,24,25,26,28,30,31,33,
36,40,44,54,57,59,71,72,77,78,85,87,91,92,94,96,97,105,107,108,109,113,114,
117,118,128,131,144,153,195,202,207,225,226,246,248,249,263,266,268,279,280,
282,305,310,316,327,370,371,394,446,454,456,475,498,534,611,653,659,671,781],[
1,3,4,5,7,10,13,18,20,23,24,25,26,28,30,31,35,39,43,53,58,60,71,72,77,79,86,
87,90,92,95,96,97,106,107,108,110,113,114,116,118,129,133,143,154,196,201,208,
224,227,245,247,250,264,266,269,278,281,282,312,314,326,369,372,393,447,455,
457,476,503,537,610,657,662,675,782],[1,3,4,5,7,10,12,17,21,23,24,25,26,28,30,
31,35,39,44,54,57,59,71,72,77,78,85,87,91,92,94,96,97,105,107,108,109,113,114,
117,118,130,134,143,153,195,202,207,225,226,246,248,249,263,266,268,279,280,
282,313,315,325,370,371,394,446,454,456,475,504,536,611,658,661,676,783],[1,2,
3,5,6,9,10,11,12,13,19,22,28,29,38,42,45,50,99,100,103,104,105,106,112,115,
128,135,150,177,178,181,182,183,184,324,406,407,509,558,669,784],[1,2,3,5,7,9,
10,11,12,13,19,22,28,29,39,42,45,50,99,100,103,104,105,106,112,115,126,136,
150,177,178,181,182,183,184,321,406,408,510,559,670,785],[1,2,3,4,5,7,9,11,16,
22,25,26,27,28,29,35,39,42,75,76,92,98,99,100,102,112,119,126,143,181,186,212,
234,258,285,303,321,408,412,462,533,629,670,786],[1,2,3,4,5,6,10,16,19,22,25,
26,28,29,31,36,38,45,75,87,92,93,99,100,101,115,119,128,140,182,187,211,234,
253,285,316,324,407,411,463,540,628,669,787],[1,2,3,4,5,6,9,11,14,15,16,17,18,
20,21,22,23,24,25,26,27,28,29,30,31,33,36,37,38,40,42,46,47,51,52,53,54,55,56,
65,66,71,72,75,76,77,78,79,80,81,82,83,84,85,86,88,89,92,94,95,96,97,98,99,
100,101,102,111,112,113,114,131,135,137,138,140,141,142,144,145,146,157,158,
159,160,173,174,181,185,186,188,189,203,204,211,212,213,214,219,234,235,236,
237,238,243,244,254,255,256,258,259,265,266,267,268,269,270,271,275,305,306,
308,310,318,322,327,331,332,333,334,336,337,338,350,351,364,365,402,403,404,
405,412,413,414,417,442,444,472,511,513,515,523,525,527,529,531,534,541,543,
545,627,677,680,681,683,691,694,695,788],[1,2,3,4,5,6,9,11,14,15,16,17,18,20,
21,22,23,24,25,26,27,28,29,30,31,33,36,37,38,40,42,46,47,51,52,53,54,55,56,65,
66,71,72,75,76,77,78,79,80,81,82,83,84,85,86,88,89,92,94,95,96,97,98,99,100,
101,102,111,112,113,114,132,135,137,138,140,141,142,144,145,146,157,158,159,
160,173,174,181,185,186,188,189,203,204,211,212,213,214,219,234,235,236,237,
238,243,244,254,255,256,258,259,265,266,267,268,269,270,271,275,304,307,309,
311,317,323,328,331,332,333,334,336,337,338,350,351,364,365,402,403,404,405,
412,413,414,417,442,444,472,512,514,516,524,526,528,530,532,535,542,544,545,
627,678,679,682,684,692,693,696,789],[1,3,5,7,13,15,24,29,31,39,43,62,81,103,
117,119,133,139,151,192,198,228,284,326,367,459,471,502,517,619,673,790],[1,3,
5,7,12,14,23,29,31,39,44,61,82,104,116,119,134,139,152,191,197,229,283,325,
368,458,470,501,518,618,674,791],[1,2,3,5,6,7,8,9,11,22,33,37,38,39,42,120,
121,122,126,127,135,141,142,286,287,289,293,321,331,339,478,479,480,481,482,
547,630,639,697,792],[1,2,4,6,7,8,9,16,27,34,35,36,38,40,76,120,121,122,126,
127,135,137,138,140,146,289,290,291,292,302,303,333,338,339,478,481,482,486,
490,548,640,641,644,697,793],[1,2,4,6,7,8,9,16,27,35,36,38,40,76,120,121,122,
126,127,135,137,138,140,146,288,289,290,303,333,338,339,478,481,482,486,490,
546,634,644,697,794],[1,2,3,5,6,9,10,11,12,13,19,22,32,33,37,38,42,45,50,123,
124,125,128,135,141,142,150,294,295,296,324,331,491,509,550,699,795],[1,2,3,5,
6,9,11,15,18,20,22,23,32,33,37,38,42,47,51,56,65,123,124,125,132,135,141,142,
160,294,295,296,317,323,331,491,514,552,700,703,796],[1,2,3,5,6,9,11,14,17,21,
22,24,32,33,37,38,42,46,52,55,66,123,124,125,131,135,141,142,159,294,295,296,
318,322,331,491,513,551,701,702,797],[1,5,7,13,15,32,62,133,149,151,502,645,
798],[1,5,7,12,14,32,61,134,149,152,501,646,799],[1,2,3,4,5,6,16,18,22,23,25,
26,30,32,33,36,37,38,40,47,75,86,97,111,123,124,125,132,137,140,142,144,145,
244,296,297,311,317,332,493,528,552,700,706,800],[1,2,3,4,5,6,16,17,22,24,25,
26,30,32,33,36,37,38,40,46,75,85,96,111,123,124,125,131,137,140,142,144,145,
243,296,297,310,318,332,493,527,551,701,705,801],[1,2,3,4,5,6,10,16,19,22,25,
26,31,32,33,36,37,38,40,45,75,87,93,101,123,124,125,128,137,140,142,144,145,
253,296,298,316,324,332,492,540,550,699,707,802],[1,2,3,5,6,10,19,22,27,30,32,
33,37,38,45,102,111,123,124,125,128,138,142,146,215,296,297,324,336,493,522,
550,699,803],[1,2,3,5,6,18,22,23,27,31,32,33,37,38,47,101,102,123,124,125,132,
138,142,146,213,296,298,317,336,492,516,552,700,804],[1,2,3,5,6,17,22,24,27,
31,32,33,37,38,46,101,102,123,124,125,131,138,142,146,214,296,298,318,336,492,
515,551,701,805],[1,2,3,5,7,9,11,22,30,31,32,39,42,101,111,123,124,125,126,
139,149,219,294,295,296,297,298,321,343,491,492,493,521,553,554,647,704,806],[
1,2,6,8,9,38,41,122,127,135,147,299,300,301,340,482,494,555,648,650,651,807],[
1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,42,43,44,45,46,47,
48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,
80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,150,151,152,153,154,155,
156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,
183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,
231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,
344,345,346,347,348,349,352,353,354,355,360,361,362,363,365,366,367,368,369,
370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,406,407,
408,430,431,432,433,434,435,440,441,556,557,558,559,572,573,574,575,576,577,
578,579,581,592,593,709,710,717,808],[1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,
21,22,23,24,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,101,103,
104,105,106,107,108,109,110,111,112,115,116,117,150,159,160,161,162,163,164,
165,166,171,172,175,176,177,178,179,180,181,182,183,184,191,192,193,194,195,
196,197,198,199,200,201,202,205,206,207,208,209,210,216,217,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,
260,261,262,265,270,271,272,275,344,345,352,353,354,355,360,361,362,363,365,
366,406,407,408,422,423,428,429,430,431,432,433,434,435,436,437,438,439,440,
441,452,453,456,457,458,459,460,461,558,559,564,565,581,582,583,584,585,590,
591,592,593,713,714,717,809],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
107,108,109,110,111,112,113,114,115,116,117,118,150,152,153,156,157,158,159,
160,161,162,163,164,165,166,168,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,193,195,198,199,202,203,204,205,
206,207,210,211,212,213,214,215,216,218,219,220,223,225,226,227,228,229,230,
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,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,344,345,347,348,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,368,370,371,
373,376,378,379,381,384,385,387,389,390,391,394,395,397,399,400,401,402,403,
404,405,406,409,410,411,412,413,414,415,416,417,418,419,420,421,423,424,425,
426,427,428,431,432,434,437,438,439,440,442,443,444,445,446,448,450,453,454,
456,459,460,464,465,466,467,472,473,474,475,476,556,561,563,564,566,568,570,
571,573,575,577,579,580,581,582,584,586,588,591,592,594,597,599,602,603,604,
605,607,608,611,612,624,625,626,627,710,711,713,716,722,725,726,729,732,810],[
1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
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,
115,116,117,118,150,151,154,155,157,158,159,160,161,162,163,164,165,166,167,
169,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,192,194,196,197,200,201,203,204,205,206,208,209,211,212,213,214,215,
217,218,219,221,222,224,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,344,345,346,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,369,372,374,375,377,380,382,383,386,388,
389,390,392,393,396,398,399,400,401,402,403,404,405,406,409,410,411,412,413,
414,415,416,417,418,419,420,421,422,424,425,426,427,429,430,433,435,436,438,
439,441,442,443,444,445,447,449,451,452,455,457,458,461,464,465,466,467,472,
473,474,475,476,557,560,562,565,567,569,570,571,572,574,576,578,580,581,583,
585,587,589,590,593,594,598,600,602,603,604,605,606,609,610,613,624,625,626,
627,709,712,714,716,723,724,727,728,733,811],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,42,43,44,45,46,47,48,49,50,51,
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,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,150,157,
158,159,160,161,162,163,164,165,166,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,199,200,203,
204,205,206,209,210,211,212,213,214,215,218,219,220,221,226,227,228,229,230,
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,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,344,345,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,389,390,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,424,425,426,427,430,431,432,433,434,435,438,439,440,441,442,
443,444,445,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,
558,559,570,571,580,581,592,593,594,595,596,601,602,603,604,605,622,623,624,
625,626,627,628,629,715,716,717,730,731,812],[1,2,3,5,9,10,11,12,13,14,15,17,
18,19,20,21,22,23,24,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,101,103,104,105,106,108,109,111,112,115,117,119,150,151,154,155,159,160,
161,162,163,164,165,166,167,169,171,172,176,177,178,179,181,182,183,184,192,
194,196,198,200,202,205,207,209,216,219,221,223,225,226,227,228,229,230,231,
232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,283,
284,285,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,374,
375,377,380,382,383,386,388,406,423,428,430,433,435,437,438,441,453,456,459,
460,462,463,468,469,470,471,477,557,564,572,574,576,578,581,582,584,591,593,
595,596,601,614,617,619,621,709,713,715,718,721,813],[1,2,3,5,9,10,11,12,13,
14,15,17,18,19,20,21,22,23,24,28,29,30,31,42,43,44,45,46,47,48,49,50,51,52,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,
89,99,100,101,103,104,105,106,107,110,111,112,115,116,119,150,152,153,156,159,
160,161,162,163,164,165,166,168,170,171,172,175,177,178,180,181,182,183,184,
191,193,195,197,199,201,206,208,210,217,219,220,222,224,226,227,228,229,230,
231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,
283,284,285,344,345,347,348,352,353,354,355,360,361,362,363,365,366,368,370,
373,376,378,379,381,384,385,387,406,422,429,431,432,434,436,439,440,452,457,
458,461,462,463,468,469,470,471,477,556,565,573,575,577,579,581,583,585,590,
592,595,596,601,615,616,618,620,710,714,715,719,720,814],[1,2,3,5,6,9,11,22,
28,29,33,37,38,42,99,100,112,120,135,141,142,181,286,287,289,331,408,478,479,
480,484,485,630,631,632,633,738,815],[1,2,3,5,6,9,11,22,28,29,33,37,38,42,99,
100,112,119,120,135,141,142,181,285,286,287,289,331,462,478,479,480,484,485,
630,631,632,633,642,738,740,816],[1,3,4,5,6,7,10,13,18,20,23,25,26,30,31,35,
36,39,58,60,72,86,87,90,95,107,116,121,128,129,130,132,133,136,139,143,154,
201,224,247,264,288,311,312,314,315,316,319,335,393,483,497,503,505,519,538,
635,660,662,686,736,817],[1,3,4,5,6,7,10,12,17,21,24,25,26,30,31,35,36,39,57,
59,71,85,87,91,94,108,117,121,128,129,130,131,134,136,139,143,153,202,225,248,
263,288,310,313,314,315,316,320,335,394,483,498,504,506,520,539,635,659,661,
685,735,818],[1,2,3,4,5,6,7,9,10,11,12,13,16,19,22,25,26,27,30,31,35,36,38,39,
42,45,50,75,76,87,90,91,93,98,101,102,111,121,126,128,129,130,133,134,135,136,
138,139,140,143,150,215,218,219,253,257,258,288,303,312,313,314,315,316,321,
324,333,335,401,481,483,499,500,509,510,521,522,533,540,634,635,663,664,689,
690,737,819],[1,3,4,5,6,7,10,12,17,21,24,26,30,35,39,40,54,57,59,91,96,109,
121,128,129,130,131,134,136,153,207,249,291,313,320,327,371,483,498,504,506,
658,671,735,820],[1,3,4,5,6,7,10,13,18,20,23,26,30,35,39,40,53,58,60,90,97,
110,121,128,129,130,132,133,136,154,208,250,291,312,319,328,372,483,497,503,
505,657,672,736,821],[1,3,5,6,7,10,13,18,20,23,24,28,33,39,43,58,60,77,79,106,
121,128,129,130,132,133,136,154,196,227,293,304,319,326,369,483,497,503,505,
654,675,736,822],[1,3,5,6,7,10,12,17,21,23,24,28,33,39,44,57,59,77,78,105,121,
128,129,130,131,134,136,153,195,226,293,305,320,325,370,483,498,504,506,653,
676,735,823],[1,2,3,4,5,6,9,11,16,22,25,26,27,28,29,33,36,37,38,40,42,75,76,
92,98,99,100,102,112,120,135,137,138,140,141,142,144,145,146,181,186,212,234,
258,286,287,289,290,331,332,333,334,336,337,338,412,478,479,480,484,485,486,
487,488,490,545,630,631,632,633,636,637,638,643,644,734,738,739,741,742,824],[
1,2,3,5,9,10,11,12,13,15,18,19,20,22,23,32,42,44,45,47,49,50,51,56,58,60,62,
63,65,68,70,74,125,150,151,154,155,160,161,164,165,167,169,171,294,344,346,
349,557,645,748,825],[1,2,3,5,9,10,11,12,13,14,17,19,21,22,24,32,42,43,45,46,
48,50,52,55,57,59,61,64,66,67,69,73,125,150,152,153,156,159,162,163,166,168,
170,172,294,345,347,348,556,646,749,826],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,24,28,29,32,48,49,50,51,52,55,56,59,61,62,64,66,67,68,69,73,79,80,81,83,
84,88,89,99,104,105,106,112,115,124,125,152,163,164,168,170,172,177,184,191,
193,195,210,220,231,232,239,241,242,254,260,261,270,275,295,347,352,363,373,
384,385,387,431,434,577,646,747,749,827],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,23,28,29,32,48,49,50,51,52,55,56,60,61,62,63,65,67,68,70,74,78,80,82,83,
84,88,89,99,103,105,106,112,115,124,125,151,163,164,167,169,171,177,183,192,
194,196,209,221,230,233,240,241,242,254,260,262,271,275,295,346,352,362,374,
383,386,388,430,435,576,645,746,748,828],[1,2,3,5,11,12,13,14,15,17,18,19,20,
21,22,23,24,28,29,32,44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,73,77,78,
81,82,83,84,88,89,100,103,104,105,112,115,123,124,125,152,161,163,168,170,172,
178,184,191,193,199,210,220,226,229,231,239,240,241,256,262,265,271,272,296,
347,355,361,368,373,376,378,381,385,434,440,575,646,745,747,749,829],[1,2,3,5,
11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,43,46,48,49,50,51,56,59,60,62,
63,65,66,68,69,70,74,77,79,81,82,83,84,88,89,100,103,104,106,112,115,123,124,
125,151,162,164,167,169,171,178,183,192,194,200,209,221,227,228,230,239,240,
242,255,261,265,270,272,296,346,354,360,367,374,375,377,382,386,435,441,574,
645,744,746,748,830],[1,3,5,12,14,23,29,31,32,44,61,82,104,116,119,123,152,
191,197,229,283,298,368,458,470,618,646,745,831],[1,3,5,13,15,24,29,31,32,43,
62,81,103,117,119,123,151,192,198,228,284,298,367,459,471,619,645,744,832],[1,
5,13,14,15,17,28,29,30,32,48,62,83,84,88,103,106,109,119,124,151,194,216,221,
230,242,284,297,374,460,469,614,645,746,833],[1,5,12,14,15,18,28,29,30,32,49,
61,83,84,89,104,105,110,119,124,152,193,217,220,231,241,283,297,373,461,468,
615,646,747,834],[1,2,3,5,6,17,18,22,23,24,28,33,37,38,41,46,47,77,78,79,80,
99,131,132,142,147,259,299,304,305,306,307,317,318,494,523,524,750,835],[1,2,
5,6,11,14,15,17,18,28,29,37,38,41,55,56,80,84,88,89,112,131,132,141,147,275,
299,306,307,308,309,322,323,494,541,542,750,836],[1,4,5,6,17,18,26,28,30,36,
37,40,41,53,54,80,85,86,92,114,131,132,145,148,267,299,306,307,310,311,327,
328,495,531,532,750,837],[1,5,6,17,18,28,32,37,80,120,124,131,132,287,306,307,
485,551,552,838],[1,3,4,6,7,10,25,31,32,33,35,36,39,40,87,121,123,128,129,130,
136,139,143,144,149,288,291,293,298,314,315,316,335,343,483,489,550,554,635,
707,753,839],[1,2,3,4,5,7,9,10,11,12,13,14,16,17,19,21,22,24,25,26,27,30,31,
35,42,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,76,85,87,90,91,93,
94,96,98,101,102,108,109,111,117,126,130,134,150,152,153,156,158,159,162,163,
166,168,170,172,173,176,179,198,202,203,205,207,214,215,216,218,219,223,225,
235,238,243,245,248,249,251,253,257,258,263,273,303,313,315,345,347,348,350,
356,358,371,390,391,394,395,397,400,401,405,423,425,427,428,437,438,500,501,
504,556,561,563,564,566,568,571,658,661,663,711,754,840],[1,2,3,4,5,7,9,10,11,
12,13,15,16,18,19,20,22,23,25,26,27,30,31,35,42,44,45,47,49,50,51,53,56,58,60,
62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,97,98,101,102,107,110,111,116,
126,129,133,150,151,154,155,157,160,161,164,165,167,169,171,174,175,180,197,
201,204,206,208,213,215,217,218,219,222,224,236,237,244,246,247,250,252,253,
257,258,264,274,303,312,314,344,346,349,351,357,359,372,389,392,393,396,398,
399,401,404,422,424,426,429,436,439,499,502,503,557,560,562,565,567,569,570,
657,662,664,712,755,841],[1,2,3,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,
24,28,29,33,37,38,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,
106,112,115,128,131,135,141,142,150,152,153,156,159,160,161,162,163,164,165,
166,168,170,171,172,177,178,181,182,183,184,191,193,195,199,210,220,226,227,
228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,
271,272,275,305,306,308,318,322,324,331,344,345,347,348,352,353,354,355,360,
361,362,363,365,366,368,370,373,376,378,379,381,384,385,387,406,431,432,434,
440,498,509,513,523,525,529,541,556,573,575,577,579,581,592,653,656,665,680,
710,756,767,769,842],[1,2,3,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
28,29,33,37,38,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,
112,115,128,132,135,141,142,150,151,154,155,159,160,161,162,163,164,165,166,
167,169,171,172,177,178,181,182,183,184,192,194,196,200,209,221,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,304,307,309,317,323,324,331,344,345,346,349,352,353,354,355,360,361,
362,363,365,366,367,369,374,375,377,380,382,383,386,388,406,430,433,435,441,
497,509,514,524,526,530,542,557,572,574,576,578,581,593,654,655,666,679,709,
757,766,768,843],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,
39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,126,
129,133,150,151,154,155,159,160,161,162,163,164,165,166,167,169,171,172,177,
178,181,182,183,184,192,194,196,200,209,221,226,227,228,229,230,231,232,233,
239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,320,321,326,
330,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,374,375,
377,380,382,383,386,388,406,430,433,435,441,499,502,503,557,572,574,576,578,
581,593,668,673,675,709,755,844],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,
21,22,23,24,28,29,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,
105,106,112,115,126,130,134,150,152,153,156,159,160,161,162,163,164,165,166,
168,170,171,172,177,178,181,182,183,184,191,193,195,199,210,220,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,319,321,325,329,344,345,347,348,352,353,354,355,360,361,362,363,365,
366,368,370,373,376,378,379,381,384,385,387,406,431,432,434,440,500,501,504,
556,573,575,577,579,581,592,667,674,676,710,754,845],[1,2,3,4,5,6,9,10,11,12,
13,14,16,17,19,21,22,24,25,26,27,30,31,38,40,42,43,45,46,48,50,52,54,55,57,59,
61,64,66,67,69,71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,109,111,117,
128,131,135,137,146,150,152,153,156,158,159,162,163,166,168,170,172,173,176,
179,198,202,203,205,207,214,215,216,218,219,223,225,235,238,243,245,248,249,
251,253,257,258,263,273,318,322,324,327,338,345,347,348,350,356,358,371,390,
391,394,395,397,400,401,405,423,425,427,428,437,438,498,509,511,513,543,556,
561,563,564,566,568,571,665,671,694,711,756,765,775,846],[1,2,3,4,5,6,9,10,11,
12,13,15,16,18,19,20,22,23,25,26,27,30,31,38,40,42,44,45,47,49,50,51,53,56,58,
60,62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,97,98,101,102,107,110,111,116,
128,132,135,137,146,150,151,154,155,157,160,161,164,165,167,169,171,174,175,
180,197,201,204,206,208,213,215,217,218,219,222,224,236,237,244,246,247,250,
252,253,257,258,264,274,317,323,324,328,338,344,346,349,351,357,359,372,389,
392,393,396,398,399,401,404,422,424,426,429,436,439,497,509,512,514,544,557,
560,562,565,567,569,570,666,672,693,712,757,764,774,847],[1,2,3,5,6,10,11,12,
13,14,15,17,18,19,20,21,22,23,24,27,28,29,30,31,33,37,38,43,44,45,46,47,48,49,
50,51,56,58,59,60,62,63,65,66,68,69,70,74,77,78,79,80,81,82,83,84,89,99,101,
102,103,105,106,107,110,111,112,115,116,117,128,132,138,142,146,154,155,161,
162,165,167,169,171,173,174,175,176,177,180,183,186,187,188,194,196,197,200,
201,204,208,209,213,214,215,217,218,221,222,224,226,227,228,232,233,240,242,
259,261,265,270,272,304,307,309,317,323,324,336,349,353,360,369,377,380,382,
383,388,421,422,424,425,426,429,430,433,436,444,445,452,457,497,516,522,524,
530,544,560,562,572,580,590,598,600,654,655,666,692,724,760,768,774,848],[1,2,
3,5,6,10,11,12,13,14,15,17,18,19,20,21,22,23,24,27,28,29,30,31,33,37,38,43,44,
45,46,47,48,49,50,52,55,57,59,60,61,64,65,66,67,69,70,73,77,78,79,80,81,82,83,
84,88,99,101,102,104,105,106,108,109,111,112,115,116,117,128,131,138,142,146,
153,156,161,162,166,168,170,172,173,174,175,176,177,179,184,186,187,188,193,
195,198,199,202,203,207,210,213,214,215,216,218,220,223,225,226,227,229,232,
233,239,241,259,262,265,271,272,305,306,308,318,322,324,336,348,353,361,370,
378,379,381,384,387,421,423,424,425,427,428,431,432,437,444,445,453,456,498,
515,522,523,529,543,561,563,573,580,591,597,599,653,656,665,691,725,761,769,
775,849],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,
29,30,31,37,38,40,43,45,46,48,49,50,51,52,54,55,56,57,59,61,62,64,66,67,68,69,
71,73,75,79,80,81,83,84,85,88,89,90,91,95,96,98,100,101,102,103,104,105,108,
109,111,112,115,117,128,131,137,138,141,153,156,158,162,164,166,168,170,172,
173,176,178,179,184,189,190,191,195,199,203,204,206,207,210,211,212,214,215,
216,218,220,223,225,228,230,231,232,236,237,239,241,243,245,248,249,251,255,
257,260,261,270,275,306,308,318,322,324,327,334,348,354,358,363,371,376,379,
385,387,389,391,403,414,416,425,427,428,432,437,440,446,448,460,465,466,498,
511,515,522,525,541,563,566,579,584,588,597,605,656,665,671,681,726,761,765,
767,850],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,
29,30,31,37,38,40,44,45,47,48,49,50,51,52,53,55,56,58,60,61,62,63,65,67,68,70,
72,74,75,78,80,82,83,84,86,88,89,90,91,94,97,98,100,101,102,103,104,106,107,
110,111,112,115,116,128,132,137,138,141,154,155,157,161,163,165,167,169,171,
174,175,178,180,183,189,190,192,196,200,203,204,205,208,209,211,212,213,215,
217,218,221,222,224,229,230,231,233,235,238,240,242,244,246,247,250,252,256,
257,260,262,271,275,307,309,317,323,324,328,334,349,355,359,362,372,375,380,
386,388,390,392,402,413,415,424,426,429,433,436,441,447,449,461,465,467,497,
512,516,522,526,542,562,567,578,585,589,598,604,655,666,672,682,727,760,764,
766,851],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,
29,30,31,36,37,38,44,45,47,48,49,50,51,52,53,55,56,58,60,61,62,63,65,67,68,70,
72,74,75,78,80,82,83,84,86,87,88,89,90,91,93,94,95,97,98,100,101,102,103,104,
106,107,110,111,112,115,116,128,132,140,141,146,154,155,157,161,163,165,167,
169,171,174,175,178,180,183,189,190,192,196,197,200,201,203,205,209,211,212,
213,218,221,222,224,229,230,231,233,235,236,238,240,242,244,246,247,250,252,
253,256,257,260,262,264,271,274,275,307,309,311,316,317,323,324,337,349,355,
357,359,362,375,380,386,388,390,393,396,398,402,413,415,422,424,429,433,441,
451,455,458,465,467,497,526,528,540,542,544,560,569,578,583,587,600,604,655,
660,666,696,728,766,770,774,852],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,
20,21,22,24,25,26,27,28,29,30,31,36,37,38,43,45,46,48,49,50,51,52,54,55,56,57,
59,61,62,64,66,67,68,69,71,73,75,79,80,81,83,84,85,87,88,89,90,91,93,94,95,96,
98,100,101,102,103,104,105,108,109,111,112,115,117,128,131,140,141,146,153,
156,158,162,164,166,168,170,172,173,176,178,179,184,189,190,191,195,198,199,
202,204,206,210,211,212,214,218,220,223,225,228,230,231,232,235,236,237,239,
241,243,245,248,249,251,253,255,257,260,261,263,270,273,275,306,308,310,316,
318,322,324,337,348,354,356,358,363,376,379,385,387,389,394,395,397,403,414,
416,423,425,428,432,440,450,454,459,465,466,498,525,527,540,541,543,561,568,
579,582,586,599,605,656,659,665,695,729,767,771,775,853],[1,2,3,4,5,6,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,36,37,38,40,43,44,
45,46,47,48,49,50,51,53,54,56,58,59,60,62,63,65,66,68,69,70,71,72,74,75,77,78,
79,80,81,82,83,84,85,86,87,89,90,91,92,93,95,96,97,99,101,103,105,106,107,108,
109,110,111,112,113,114,115,116,118,128,132,137,140,142,144,145,154,155,157,
158,161,162,165,167,169,171,175,177,179,180,183,185,194,196,197,200,201,208,
209,217,221,222,224,226,227,228,232,233,234,236,240,242,243,244,245,246,247,
248,249,250,251,252,253,257,259,261,264,265,266,267,268,269,270,272,274,276,
277,278,279,280,281,282,304,307,309,311,316,317,323,324,328,332,349,353,357,
358,359,360,364,369,372,377,380,382,383,388,392,393,396,398,409,410,422,429,
430,433,436,447,449,451,452,455,457,473,474,475,476,497,512,524,528,530,532,
535,540,567,569,572,587,589,590,594,606,609,610,613,654,655,660,666,672,678,
723,764,768,770,778,780,854],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,28,29,30,31,33,36,37,38,40,43,44,45,46,47,48,49,50,52,53,54,55,
57,59,60,61,64,65,66,67,69,70,71,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,
90,91,92,93,94,96,97,99,101,104,105,106,107,108,109,110,111,112,113,114,115,
117,118,128,131,137,140,142,144,145,153,156,157,158,161,162,166,168,170,172,
176,177,179,180,184,185,193,195,198,199,202,207,210,216,220,223,225,226,227,
229,232,233,234,235,239,241,243,244,245,246,247,248,249,250,251,252,253,257,
259,262,263,265,266,267,268,269,271,272,273,276,277,278,279,280,281,282,305,
306,308,310,316,318,322,324,327,332,348,353,356,358,359,361,364,370,371,378,
379,381,384,387,391,394,395,397,409,410,423,428,431,432,437,446,448,450,453,
454,456,473,474,475,476,498,511,523,527,529,531,534,540,566,568,573,586,588,
591,594,607,608,611,612,653,656,659,665,671,677,722,765,769,771,779,781,855],[
1,2,3,4,5,6,9,10,11,12,13,14,16,17,19,21,22,24,25,26,27,30,31,36,38,42,43,45,
46,48,50,52,54,55,57,59,61,64,66,67,69,71,73,75,76,85,87,90,91,93,94,96,98,
101,102,108,109,111,117,128,131,135,138,140,150,152,153,156,158,159,162,163,
166,168,170,172,173,176,179,198,202,203,205,207,214,215,216,218,219,223,225,
235,238,243,245,248,249,251,253,257,258,263,273,310,316,318,322,324,333,345,
347,348,350,356,358,371,390,391,394,395,397,400,401,405,423,425,427,428,437,
438,498,509,513,515,522,527,540,556,561,563,564,566,568,571,659,665,683,690,
711,756,761,771,856],[1,2,3,4,5,6,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,
30,31,36,38,42,44,45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,76,86,87,
90,91,93,95,97,98,101,102,107,110,111,116,128,132,135,138,140,150,151,154,155,
157,160,161,164,165,167,169,171,174,175,180,197,201,204,206,208,213,215,217,
218,219,222,224,236,237,244,246,247,250,252,253,257,258,264,274,311,316,317,
323,324,333,344,346,349,351,357,359,372,389,392,393,396,398,399,401,404,422,
424,426,429,436,439,497,509,514,516,522,528,540,557,560,562,565,567,569,570,
660,666,684,690,712,757,760,770,857],[1,2,3,4,5,7,9,10,11,12,13,14,16,17,19,
21,22,24,25,26,27,30,31,35,39,42,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,
71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,109,111,117,126,129,133,136,
139,143,150,152,153,156,158,159,162,163,166,168,170,172,173,176,179,198,202,
203,205,207,214,215,216,218,219,223,225,235,238,243,245,248,249,251,253,257,
258,263,273,303,312,314,320,321,326,330,335,345,347,348,350,356,358,371,390,
391,394,395,397,400,401,405,423,425,427,428,437,438,499,506,508,510,517,520,
521,533,537,539,556,561,563,564,566,568,571,664,668,685,688,689,711,759,762,
773,858],[1,2,3,4,5,7,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,30,31,35,39,
42,44,45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,
97,98,101,102,107,110,111,116,126,130,134,136,139,143,150,151,154,155,157,160,
161,164,165,167,169,171,174,175,180,197,201,204,206,208,213,215,217,218,219,
222,224,236,237,244,246,247,250,252,253,257,258,264,274,303,313,315,319,321,
325,329,335,344,346,349,351,357,359,372,389,392,393,396,398,399,401,404,422,
424,426,429,436,439,500,505,507,510,518,519,521,533,536,538,557,560,562,565,
567,569,570,663,667,686,687,689,712,758,763,772,859],[1,2,3,4,5,7,9,10,11,12,
13,16,19,22,25,26,27,28,29,30,31,35,39,42,45,50,75,76,87,90,91,92,93,98,99,
100,101,102,103,104,105,106,111,112,113,114,115,118,119,126,136,139,143,150,
177,178,181,182,183,184,185,186,187,188,189,190,211,212,215,218,219,234,253,
257,258,276,280,281,283,284,285,303,321,335,401,406,408,409,411,412,419,420,
421,442,443,462,463,465,477,510,521,533,559,601,603,623,629,670,689,730,777,
785,786,860],[1,2,3,4,5,6,9,10,11,12,13,16,19,22,25,26,27,28,29,30,31,36,38,
42,45,50,75,76,87,90,91,92,93,98,99,100,101,102,103,104,105,106,111,112,113,
114,115,118,119,128,135,138,140,150,177,178,181,182,183,184,185,186,187,188,
189,190,211,212,215,218,219,234,253,257,258,276,280,281,283,284,285,316,324,
333,401,406,407,409,411,412,419,420,421,442,443,462,463,465,477,509,522,540,
558,601,603,622,628,669,690,731,776,784,787,861],[1,2,3,4,5,6,7,8,9,11,16,22,
25,26,27,33,34,35,36,37,38,39,40,42,75,76,98,102,120,121,122,126,127,135,137,
138,140,141,142,143,144,145,146,258,286,287,288,289,290,291,292,293,302,303,
321,331,332,333,334,336,337,338,339,478,479,480,481,482,486,487,488,489,490,
533,545,546,547,548,630,634,636,637,639,640,641,643,644,697,698,741,743,792,
793,794,862],[1,3,5,7,13,15,24,29,32,39,43,62,81,103,123,133,149,151,192,228,
326,343,367,502,645,673,744,798,863],[1,3,5,7,12,14,23,29,32,39,44,61,82,104,
123,134,149,152,191,229,325,343,368,501,646,674,745,799,864],[1,2,3,4,5,6,9,
11,15,16,18,20,22,23,25,26,27,30,31,32,33,36,37,38,40,42,47,51,56,65,75,76,86,
95,97,98,101,102,111,123,124,125,132,135,137,138,140,141,142,144,145,146,160,
204,213,219,236,244,258,294,295,296,297,298,311,317,323,331,332,333,334,336,
337,338,404,491,492,493,514,516,528,545,552,647,684,700,703,706,796,800,804,
865],[1,2,3,4,5,6,9,11,14,16,17,21,22,24,25,26,27,30,31,32,33,36,37,38,40,42,
46,52,55,66,75,76,85,94,96,98,101,102,111,123,124,125,131,135,137,138,140,141,
142,144,145,146,159,203,214,219,235,243,258,294,295,296,297,298,310,318,322,
331,332,333,334,336,337,338,405,491,492,493,513,515,527,545,551,647,683,701,
702,705,797,801,805,866],[1,2,3,4,5,6,9,10,11,12,13,16,19,22,25,26,27,30,31,
32,33,36,37,38,40,42,45,50,75,76,87,90,91,93,98,101,102,111,123,124,125,128,
135,137,138,140,141,142,144,145,146,150,215,218,219,253,257,258,294,295,296,
297,298,316,324,331,332,333,334,336,337,338,401,491,492,493,509,522,540,545,
550,647,690,699,707,795,802,803,867],[1,2,4,6,8,9,16,27,34,38,40,41,76,122,
127,135,137,146,147,148,292,299,300,301,302,338,340,341,342,482,494,495,496,
549,555,641,648,649,650,651,652,708,751,752,807,868],[1,2,3,4,5,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,42,43,44,45,46,47,48,49,
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,
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,
283,284,285,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,
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,
474,475,476,477,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,
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,
628,629,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,732,733,808,809,810,811,812,813,814,869],[1,2,3,5,6,7,
9,10,11,12,13,15,18,19,20,22,23,38,39,42,44,45,47,49,50,51,56,58,60,62,63,65,
68,70,74,121,126,128,129,130,132,133,134,135,136,150,151,154,155,160,161,164,
165,167,169,171,317,319,321,323,324,325,329,344,346,349,481,483,497,499,500,
502,503,505,507,509,510,514,557,666,667,736,737,755,757,758,870],[1,2,3,5,6,7,
9,10,11,12,13,14,17,19,21,22,24,38,39,42,43,45,46,48,50,52,55,57,59,61,64,66,
67,69,73,121,126,128,129,130,131,133,134,135,136,150,152,153,156,159,162,163,
166,168,170,172,318,320,321,322,324,326,330,345,347,348,481,483,498,499,500,
501,504,506,508,509,510,513,556,665,668,735,737,754,756,759,871],[1,3,4,5,6,7,
10,12,17,21,23,24,25,26,28,30,31,33,35,36,39,40,44,54,57,59,71,72,77,78,85,87,
91,92,94,96,97,105,107,108,109,113,114,117,118,121,128,129,130,131,134,136,
139,143,144,153,195,202,207,225,226,246,248,249,263,266,268,279,280,282,288,
291,293,305,310,313,314,315,316,320,325,327,335,370,371,394,446,454,456,475,
483,489,498,504,506,520,534,536,539,611,635,653,658,659,661,671,676,685,735,
781,783,818,820,823,872],[1,3,4,5,6,7,10,13,18,20,23,24,25,26,28,30,31,33,35,
36,39,40,43,53,58,60,71,72,77,79,86,87,90,92,95,96,97,106,107,108,110,113,114,
116,118,121,128,129,130,132,133,136,139,143,144,154,196,201,208,224,227,245,
247,250,264,266,269,278,281,282,288,291,293,304,311,312,314,315,316,319,326,
328,335,369,372,393,447,455,457,476,483,489,497,503,505,519,535,537,538,610,
635,654,657,660,662,672,675,686,736,780,782,817,821,822,873],[1,2,3,4,5,6,9,
11,16,22,25,26,27,28,29,33,36,37,38,40,42,75,76,92,98,99,100,102,112,119,120,
135,137,138,140,141,142,144,145,146,181,186,212,234,258,285,286,287,289,290,
331,332,333,334,336,337,338,408,412,462,478,479,480,484,485,486,487,488,490,
545,629,630,631,632,633,636,637,638,642,643,644,734,738,739,740,741,742,815,
816,824,874],[1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,42,
43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,123,124,
125,150,152,153,156,159,160,161,162,163,164,165,166,168,170,171,172,177,178,
181,182,183,184,191,193,195,199,210,220,226,227,228,229,230,231,232,233,239,
240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,294,295,296,344,
345,347,348,352,353,354,355,360,361,362,363,365,366,368,370,373,376,378,379,
381,384,385,387,406,431,432,434,440,491,556,573,575,577,579,581,592,646,710,
745,747,749,826,827,829,875],[1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,21,22,
23,24,28,29,32,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,
112,115,123,124,125,150,151,154,155,159,160,161,162,163,164,165,166,167,169,
171,172,177,178,181,182,183,184,192,194,196,200,209,221,226,227,228,229,230,
231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,
294,295,296,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,
374,375,377,380,382,383,386,388,406,430,433,435,441,491,557,572,574,576,578,
581,593,645,709,744,746,748,825,828,830,876],[1,2,3,5,11,12,13,14,15,17,18,19,
20,21,22,23,24,28,29,31,32,43,46,48,49,50,51,56,59,60,62,63,65,66,68,69,70,74,
77,79,81,82,83,84,88,89,100,101,103,104,106,112,115,117,119,123,124,125,151,
162,164,167,169,171,176,178,183,192,194,198,200,202,209,221,227,228,230,239,
240,242,255,261,265,270,272,283,284,285,296,298,346,354,360,367,374,375,377,
382,386,423,435,441,459,469,471,477,492,574,582,595,619,621,645,721,744,746,
748,830,832,877],[1,2,3,5,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,31,32,
44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,73,77,78,81,82,83,84,88,89,
100,101,103,104,105,112,115,116,119,123,124,125,152,161,163,168,170,172,175,
178,184,191,193,197,199,201,210,220,226,229,231,239,240,241,256,262,265,271,
272,283,284,285,296,298,347,355,361,368,373,376,378,381,385,422,434,440,458,
468,470,477,492,575,583,596,618,620,646,720,745,747,749,829,831,878],[1,2,3,5,
11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,30,32,43,46,48,49,50,51,56,59,60,
62,63,65,66,68,69,70,74,77,79,81,82,83,84,88,89,100,103,104,106,108,109,111,
112,115,119,123,124,125,151,162,164,167,169,171,178,179,183,192,194,200,207,
209,216,221,227,228,230,239,240,242,255,261,265,270,272,283,284,285,296,297,
346,354,360,367,374,375,377,382,386,435,437,441,460,469,471,477,493,574,584,
595,614,617,645,718,744,746,748,830,833,879],[1,2,3,5,11,12,13,14,15,17,18,19,
20,21,22,23,24,28,29,30,32,44,47,48,49,50,52,55,59,60,61,64,65,66,67,69,70,73,
77,78,81,82,83,84,88,89,100,103,104,105,107,110,111,112,115,119,123,124,125,
152,161,163,168,170,172,178,180,184,191,193,199,208,210,217,220,226,229,231,
239,240,241,256,262,265,271,272,283,284,285,296,297,347,355,361,368,373,376,
378,381,385,434,436,440,461,468,470,477,493,575,585,596,615,616,646,719,745,
747,749,829,834,880],[1,2,3,4,5,6,16,17,18,22,23,24,25,26,28,30,33,36,37,38,
40,41,46,47,53,54,71,72,75,77,78,79,80,85,86,92,96,97,99,111,113,114,131,132,
137,140,142,144,145,147,148,157,158,185,234,243,244,259,266,267,268,269,299,
304,305,306,307,310,311,317,318,327,328,332,341,364,494,495,511,512,523,524,
527,528,531,532,534,535,649,677,678,750,835,837,881],[1,2,3,5,6,9,11,14,15,17,
18,20,21,22,23,24,28,29,33,37,38,41,42,46,47,51,52,55,56,65,66,77,78,79,80,81,
82,83,84,88,89,99,100,112,131,132,135,141,142,147,159,160,181,254,255,256,259,
265,270,271,275,299,304,305,306,307,308,309,317,318,322,323,331,340,365,494,
513,514,523,524,525,526,529,530,541,542,648,679,680,750,835,836,882],[1,2,3,5,
6,17,18,22,23,24,27,28,31,33,37,38,41,46,47,77,78,79,80,99,101,102,131,132,
138,142,146,147,173,174,186,188,213,214,259,299,304,305,306,307,317,318,336,
342,444,494,515,516,523,524,543,544,652,691,692,750,835,883],[1,2,3,5,6,17,18,
22,23,24,28,32,33,37,38,46,47,77,78,79,80,99,120,123,124,125,131,132,142,259,
286,287,289,296,304,305,306,307,317,318,480,485,523,524,551,552,631,700,701,
838,884],[1,2,5,6,11,14,15,17,18,28,29,32,37,38,55,56,80,84,88,89,112,120,124,
125,131,132,141,275,287,289,295,306,307,308,309,322,323,479,484,485,541,542,
551,552,633,702,703,838,885],[1,4,5,6,17,18,26,28,30,32,36,37,40,53,54,80,85,
86,92,114,120,124,131,132,145,267,287,290,297,306,307,310,311,327,328,485,488,
531,532,551,552,638,705,706,838,886],[1,2,3,5,6,7,9,10,11,12,13,19,22,32,33,
37,38,39,42,45,50,121,123,124,125,126,128,129,130,133,134,135,136,141,142,149,
150,293,294,295,296,321,324,331,343,481,483,491,499,500,509,510,550,553,639,
699,704,737,753,795,887],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,
24,28,29,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,
115,126,129,133,136,150,151,152,153,154,155,156,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,177,178,181,182,183,184,191,192,193,194,195,196,
199,200,209,210,220,221,226,227,228,229,230,231,232,233,239,240,241,242,254,
255,256,259,260,261,262,265,270,271,272,275,320,321,326,330,344,345,346,347,
348,349,352,353,354,355,360,361,362,363,365,366,367,368,369,370,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,406,407,408,430,431,432,
433,434,435,440,441,499,502,503,506,508,510,556,557,558,559,572,573,574,575,
576,577,578,579,581,592,593,668,673,675,709,710,717,755,759,808,844,888],[1,2,
3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,39,42,43,44,45,46,47,
48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,
80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,126,130,134,136,150,151,
152,153,154,155,156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
177,178,181,182,183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,
227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,
270,271,272,275,319,321,325,329,344,345,346,347,348,349,352,353,354,355,360,
361,362,363,365,366,367,368,369,370,373,374,375,376,377,378,379,380,381,382,
383,384,385,386,387,388,406,407,408,430,431,432,433,434,435,440,441,500,501,
504,505,507,510,556,557,558,559,572,573,574,575,576,577,578,579,581,592,593,
667,674,676,709,710,717,754,758,808,845,889],[1,2,3,5,7,9,10,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,103,104,105,106,112,115,126,129,130,133,134,136,150,151,152,153,154,155,
156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,
183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,
231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,
319,320,321,325,326,329,330,344,345,346,347,348,349,352,353,354,355,360,361,
362,363,365,366,367,368,369,370,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,406,407,408,430,431,432,433,434,435,440,441,499,500,505,
506,507,508,510,556,557,558,559,572,573,574,575,576,577,578,579,581,592,593,
667,668,670,709,710,717,758,759,785,808,890],[1,2,3,5,6,9,10,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,38,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,103,104,105,106,112,115,128,131,132,135,150,151,152,153,154,155,156,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,183,184,
191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,231,232,
233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,317,318,
322,323,324,344,345,346,347,348,349,352,353,354,355,360,361,362,363,365,366,
367,368,369,370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,406,407,408,430,431,432,433,434,435,440,441,497,498,509,513,514,556,557,
558,559,572,573,574,575,576,577,578,579,581,592,593,665,666,669,709,710,717,
756,757,784,808,891],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
28,29,30,31,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,101,103,104,105,
106,107,110,111,112,115,116,119,126,130,134,139,150,152,153,156,159,160,161,
162,163,164,165,166,168,170,171,172,175,177,178,180,181,182,183,184,191,193,
195,197,199,201,206,208,210,217,219,220,222,224,226,227,228,229,230,231,232,
233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,283,284,
285,319,321,325,329,344,345,347,348,352,353,354,355,360,361,362,363,365,366,
368,370,373,376,378,379,381,384,385,387,406,422,429,431,432,434,436,439,440,
452,457,458,461,462,463,468,469,470,471,477,500,501,504,518,519,521,556,565,
573,575,577,579,581,583,585,590,592,595,596,601,615,616,618,620,667,674,676,
710,714,715,719,720,754,763,791,814,845,892],[1,2,3,5,7,9,10,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,30,31,39,42,43,44,45,46,47,48,49,50,51,52,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,
99,100,101,103,104,105,106,108,109,111,112,115,117,119,126,129,133,139,150,
151,154,155,159,160,161,162,163,164,165,166,167,169,171,172,176,177,178,179,
181,182,183,184,192,194,196,198,200,202,205,207,209,216,219,221,223,225,226,
227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,
270,271,272,275,283,284,285,320,321,326,330,344,345,346,349,352,353,354,355,
360,361,362,363,365,366,367,369,374,375,377,380,382,383,386,388,406,423,428,
430,433,435,437,438,441,453,456,459,460,462,463,468,469,470,471,477,499,502,
503,517,520,521,557,564,572,574,576,578,581,582,584,591,593,595,596,601,614,
617,619,621,668,673,675,709,713,715,718,721,755,762,790,813,844,893],[1,2,3,4,
5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,39,
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,
115,116,117,118,126,129,133,143,150,151,154,155,157,158,159,160,161,162,163,
164,165,166,167,169,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,192,194,196,197,200,201,203,204,205,206,208,209,211,
212,213,214,215,217,218,219,221,222,224,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,303,312,314,320,321,326,330,344,345,
346,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,
367,369,372,374,375,377,380,382,383,386,388,389,390,392,393,396,398,399,400,
401,402,403,404,405,406,409,410,411,412,413,414,415,416,417,418,419,420,421,
422,424,425,426,427,429,430,433,435,436,438,439,441,442,443,444,445,447,449,
451,452,455,457,458,461,464,465,466,467,472,473,474,475,476,499,502,503,533,
537,539,557,560,562,565,567,569,570,571,572,574,576,578,580,581,583,585,587,
589,590,593,594,598,600,602,603,604,605,606,609,610,613,624,625,626,627,657,
662,664,668,673,675,709,712,714,716,723,724,727,728,733,755,773,782,811,841,
844,894],[1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,35,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
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,
110,111,112,113,114,115,116,117,118,126,130,134,143,150,152,153,156,157,158,
159,160,161,162,163,164,165,166,168,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,193,195,198,199,202,203,204,
205,206,207,210,211,212,213,214,215,216,218,219,220,223,225,226,227,228,229,
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,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,303,313,315,319,
321,325,329,344,345,347,348,350,351,352,353,354,355,356,357,358,359,360,361,
362,363,364,365,366,368,370,371,373,376,378,379,381,384,385,387,389,390,391,
394,395,397,399,400,401,402,403,404,405,406,409,410,411,412,413,414,415,416,
417,418,419,420,421,423,424,425,426,427,428,431,432,434,437,438,439,440,442,
443,444,445,446,448,450,453,454,456,459,460,464,465,466,467,472,473,474,475,
476,500,501,504,533,536,538,556,561,563,564,566,568,570,571,573,575,577,579,
580,581,582,584,586,588,591,592,594,597,599,602,603,604,605,607,608,611,612,
624,625,626,627,658,661,663,667,674,676,710,711,713,716,722,725,726,729,732,
754,772,783,810,840,845,895],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,33,36,37,38,40,42,43,44,45,46,47,48,49,50,51,
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,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,128,132,135,
137,138,140,141,142,144,145,146,150,151,154,155,157,158,159,160,161,162,163,
164,165,166,167,169,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,192,194,196,197,200,201,203,204,205,206,208,209,211,
212,213,214,215,217,218,219,221,222,224,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,304,307,309,311,316,317,323,324,328,
331,332,333,334,336,337,338,344,345,346,349,350,351,352,353,354,355,356,357,
358,359,360,361,362,363,364,365,366,367,369,372,374,375,377,380,382,383,386,
388,389,390,392,393,396,398,399,400,401,402,403,404,405,406,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,424,425,426,427,429,430,433,435,436,
438,439,441,442,443,444,445,447,449,451,452,455,457,458,461,464,465,466,467,
472,473,474,475,476,497,509,512,514,516,522,524,526,528,530,532,535,540,542,
544,545,557,560,562,565,567,569,570,571,572,574,576,578,580,581,583,585,587,
589,590,593,594,598,600,602,603,604,605,606,609,610,613,624,625,626,627,654,
655,660,666,672,678,679,682,684,690,692,693,696,709,712,714,716,723,724,727,
728,733,757,760,764,766,768,770,774,778,780,789,811,843,847,848,851,852,854,
857,896],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,33,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
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,
108,109,110,111,112,113,114,115,116,117,118,128,131,135,137,138,140,141,142,
144,145,146,150,152,153,156,157,158,159,160,161,162,163,164,165,166,168,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,193,195,198,199,202,203,204,205,206,207,210,211,212,213,214,215,216,
218,219,220,223,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
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,
278,279,280,281,282,305,306,308,310,316,318,322,324,327,331,332,333,334,336,
337,338,344,345,347,348,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,368,370,371,373,376,378,379,381,384,385,387,389,390,391,394,
395,397,399,400,401,402,403,404,405,406,409,410,411,412,413,414,415,416,417,
418,419,420,421,423,424,425,426,427,428,431,432,434,437,438,439,440,442,443,
444,445,446,448,450,453,454,456,459,460,464,465,466,467,472,473,474,475,476,
498,509,511,513,515,522,523,525,527,529,531,534,540,541,543,545,556,561,563,
564,566,568,570,571,573,575,577,579,580,581,582,584,586,588,591,592,594,597,
599,602,603,604,605,607,608,611,612,624,625,626,627,653,656,659,665,671,677,
680,681,683,690,691,694,695,710,711,713,716,722,725,726,729,732,756,761,765,
767,769,771,775,779,781,788,810,842,846,849,850,853,855,856,897],[1,2,3,5,6,7,
8,9,11,22,28,29,33,37,38,39,42,99,100,112,120,121,122,126,127,135,141,142,181,
286,287,289,293,321,331,339,408,478,479,480,481,482,484,485,547,630,631,632,
633,639,670,697,738,792,815,898],[1,2,3,5,7,9,10,11,12,13,15,18,19,20,22,23,
32,42,44,45,47,49,50,51,56,58,60,62,63,65,68,70,74,125,126,129,133,149,150,
151,154,155,160,161,164,165,167,169,171,294,344,346,349,499,502,503,553,557,
645,748,755,798,825,899],[1,2,3,5,7,9,10,11,12,13,14,17,19,21,22,24,32,42,43,
45,46,48,50,52,55,57,59,61,64,66,67,69,73,125,126,130,134,149,150,152,153,156,
159,162,163,166,168,170,172,294,345,347,348,500,501,504,553,556,646,749,754,
799,826,900],[1,3,5,7,13,15,24,29,31,32,39,43,62,81,103,117,119,123,133,139,
149,151,192,198,228,284,298,326,343,367,459,471,502,517,554,619,645,673,744,
790,798,832,863,901],[1,3,5,7,12,14,23,29,31,32,39,44,61,82,104,116,119,123,
134,139,149,152,191,197,229,283,298,325,343,368,458,470,501,518,554,618,646,
674,745,791,799,831,864,902],[1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,
22,23,24,28,29,33,37,38,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,
104,105,106,112,115,121,126,128,129,130,131,133,134,135,136,141,142,150,152,
153,156,159,160,161,162,163,164,165,166,168,170,171,172,177,178,181,182,183,
184,191,193,195,199,210,220,226,227,228,229,230,231,232,233,239,240,241,242,
254,255,256,259,260,261,262,265,270,271,272,275,293,305,306,308,318,319,320,
321,322,324,325,326,329,330,331,344,345,347,348,352,353,354,355,360,361,362,
363,365,366,368,370,373,376,378,379,381,384,385,387,406,431,432,434,440,481,
483,498,499,500,501,504,506,508,509,510,513,523,525,529,541,556,573,575,577,
579,581,592,639,653,656,665,667,668,674,676,680,710,735,737,754,756,759,767,
769,823,842,845,871,903],[1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,
23,24,28,29,33,37,38,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,
105,106,112,115,121,126,128,129,130,132,133,134,135,136,141,142,150,151,154,
155,159,160,161,162,163,164,165,166,167,169,171,172,177,178,181,182,183,184,
192,194,196,200,209,221,226,227,228,229,230,231,232,233,239,240,241,242,254,
255,256,259,260,261,262,265,270,271,272,275,293,304,307,309,317,319,320,321,
323,324,325,326,329,330,331,344,345,346,349,352,353,354,355,360,361,362,363,
365,366,367,369,374,375,377,380,382,383,386,388,406,430,433,435,441,481,483,
497,499,500,502,503,505,507,509,510,514,524,526,530,542,557,572,574,576,578,
581,593,639,654,655,666,667,668,673,675,679,709,736,737,755,757,758,766,768,
822,843,844,870,904],[1,2,3,4,5,6,7,9,10,11,12,13,15,16,18,19,20,22,23,25,26,
27,30,31,35,38,39,40,42,44,45,47,49,50,51,53,56,58,60,62,63,65,68,70,72,74,75,
76,86,87,90,91,93,95,97,98,101,102,107,110,111,116,121,126,128,129,130,132,
133,134,135,136,137,146,150,151,154,155,157,160,161,164,165,167,169,171,174,
175,180,197,201,204,206,208,213,215,217,218,219,222,224,236,237,244,246,247,
250,252,253,257,258,264,274,291,303,312,314,317,319,321,323,324,325,328,329,
338,344,346,349,351,357,359,372,389,392,393,396,398,399,401,404,422,424,426,
429,436,439,481,483,497,499,500,502,503,505,507,509,510,512,514,544,557,560,
562,565,567,569,570,640,657,662,664,666,667,672,693,712,736,737,755,757,758,
764,774,821,841,847,870,905],[1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,19,21,22,
24,25,26,27,30,31,35,38,39,40,42,43,45,46,48,50,52,54,55,57,59,61,64,66,67,69,
71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,109,111,117,121,126,128,129,
130,131,133,134,135,136,137,146,150,152,153,156,158,159,162,163,166,168,170,
172,173,176,179,198,202,203,205,207,214,215,216,218,219,223,225,235,238,243,
245,248,249,251,253,257,258,263,273,291,303,313,315,318,320,321,322,324,326,
327,330,338,345,347,348,350,356,358,371,390,391,394,395,397,400,401,405,423,
425,427,428,437,438,481,483,498,499,500,501,504,506,508,509,510,511,513,543,
556,561,563,564,566,568,571,640,658,661,663,665,668,671,694,711,735,737,754,
756,759,765,775,820,840,846,871,906],[1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,19,
21,22,24,25,26,27,30,31,35,36,38,39,42,43,45,46,48,50,52,54,55,57,59,61,64,66,
67,69,71,73,75,76,85,87,90,91,93,94,96,98,101,102,108,109,111,117,121,126,128,
129,130,131,133,134,135,136,138,139,140,143,150,152,153,156,158,159,162,163,
166,168,170,172,173,176,179,198,202,203,205,207,214,215,216,218,219,223,225,
235,238,243,245,248,249,251,253,257,258,263,273,288,303,310,312,313,314,315,
316,318,320,321,322,324,326,330,333,335,345,347,348,350,356,358,371,390,391,
394,395,397,400,401,405,423,425,427,428,437,438,481,483,498,499,500,501,504,
506,508,509,510,513,515,517,520,521,522,527,533,537,539,540,556,561,563,564,
566,568,571,634,635,658,659,661,663,664,665,668,683,685,688,689,690,711,735,
737,754,756,759,761,762,771,773,818,819,840,856,858,871,907],[1,2,3,4,5,6,7,9,
10,11,12,13,15,16,18,19,20,22,23,25,26,27,30,31,35,36,38,39,42,44,45,47,49,50,
51,53,56,58,60,62,63,65,68,70,72,74,75,76,86,87,90,91,93,95,97,98,101,102,107,
110,111,116,121,126,128,129,130,132,133,134,135,136,138,139,140,143,150,151,
154,155,157,160,161,164,165,167,169,171,174,175,180,197,201,204,206,208,213,
215,217,218,219,222,224,236,237,244,246,247,250,252,253,257,258,264,274,288,
303,311,312,313,314,315,316,317,319,321,323,324,325,329,333,335,344,346,349,
351,357,359,372,389,392,393,396,398,399,401,404,422,424,426,429,436,439,481,
483,497,499,500,502,503,505,507,509,510,514,516,518,519,521,522,528,533,536,
538,540,557,560,562,565,567,569,570,634,635,657,660,662,663,664,666,667,684,
686,687,689,690,712,736,737,755,757,758,760,763,770,772,817,819,841,857,859,
870,908],[1,2,3,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,30,31,32,
42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,101,103,104,105,106,108,109,111,
112,115,117,119,123,124,125,150,151,154,155,159,160,161,162,163,164,165,166,
167,169,171,172,176,177,178,179,181,182,183,184,192,194,196,198,200,202,205,
207,209,216,219,221,223,225,226,227,228,229,230,231,232,233,239,240,241,242,
254,255,256,259,260,261,262,265,270,271,272,275,283,284,285,294,295,296,297,
298,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,374,375,
377,380,382,383,386,388,406,423,428,430,433,435,437,438,441,453,456,459,460,
462,463,468,469,470,471,477,491,492,493,557,564,572,574,576,578,581,582,584,
591,593,595,596,601,614,617,619,621,645,647,709,713,715,718,721,744,746,748,
813,825,828,830,832,833,876,877,879,909],[1,2,3,5,9,10,11,12,13,14,15,17,18,
19,20,21,22,23,24,28,29,30,31,32,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,101,103,104,105,106,107,110,111,112,115,116,119,123,124,125,150,152,153,
156,159,160,161,162,163,164,165,166,168,170,171,172,175,177,178,180,181,182,
183,184,191,193,195,197,199,201,206,208,210,217,219,220,222,224,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,283,284,285,294,295,296,297,298,344,345,347,348,352,353,354,355,360,
361,362,363,365,366,368,370,373,376,378,379,381,384,385,387,406,422,429,431,
432,434,436,439,440,452,457,458,461,462,463,468,469,470,471,477,491,492,493,
556,565,573,575,577,579,581,583,585,590,592,595,596,601,615,616,618,620,646,
647,710,714,715,719,720,745,747,749,814,826,827,829,831,834,875,878,880,910],[
1,2,3,4,5,6,9,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,33,36,37,
38,40,41,42,46,47,51,52,53,54,55,56,65,66,71,72,75,76,77,78,79,80,81,82,83,84,
85,86,88,89,92,94,95,96,97,98,99,100,101,102,111,112,113,114,131,132,135,137,
138,140,141,142,144,145,146,147,148,157,158,159,160,173,174,181,185,186,188,
189,203,204,211,212,213,214,219,234,235,236,237,238,243,244,254,255,256,258,
259,265,266,267,268,269,270,271,275,299,304,305,306,307,308,309,310,311,317,
318,322,323,327,328,331,332,333,334,336,337,338,340,341,342,350,351,364,365,
402,403,404,405,412,413,414,417,442,444,472,494,495,511,512,513,514,515,516,
523,524,525,526,527,528,529,530,531,532,534,535,541,542,543,544,545,549,627,
648,649,652,677,678,679,680,681,682,683,684,691,692,693,694,695,696,750,752,
788,789,835,836,837,881,882,883,911],[1,2,3,4,5,6,16,17,18,22,23,24,25,26,28,
30,32,33,36,37,38,40,46,47,53,54,71,72,75,77,78,79,80,85,86,92,96,97,99,111,
113,114,120,123,124,125,131,132,137,140,142,144,145,157,158,185,234,243,244,
259,266,267,268,269,286,287,289,290,296,297,304,305,306,307,310,311,317,318,
327,328,332,364,480,485,486,487,488,493,511,512,523,524,527,528,531,532,534,
535,551,552,631,637,638,677,678,700,701,705,706,734,800,801,838,884,886,912],[
1,2,3,5,6,17,18,22,23,24,27,28,31,32,33,37,38,46,47,77,78,79,80,99,101,102,
120,123,124,125,131,132,138,142,146,173,174,186,188,213,214,259,286,287,289,
296,298,304,305,306,307,317,318,336,444,480,485,490,492,515,516,523,524,543,
544,551,552,631,636,691,692,700,701,739,804,805,838,884,913],[1,2,3,5,6,9,11,
14,15,17,18,20,21,22,23,24,28,29,32,33,37,38,42,46,47,51,52,55,56,65,66,77,78,
79,80,81,82,83,84,88,89,99,100,112,120,123,124,125,131,132,135,141,142,159,
160,181,254,255,256,259,265,270,271,275,286,287,289,294,295,296,304,305,306,
307,308,309,317,318,322,323,331,365,478,479,480,484,485,491,513,514,523,524,
525,526,529,530,541,542,551,552,630,631,632,633,679,680,700,701,702,703,738,
796,797,838,884,885,914],[1,2,3,4,5,6,7,9,10,11,12,13,16,19,22,25,26,27,30,31,
32,33,35,36,37,38,39,40,42,45,50,75,76,87,90,91,93,98,101,102,111,121,123,124,
125,126,128,129,130,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
149,150,215,218,219,253,257,258,288,291,293,294,295,296,297,298,303,312,313,
314,315,316,321,324,331,332,333,334,335,336,337,338,343,401,481,483,489,491,
492,493,499,500,509,510,521,522,533,540,545,550,553,554,634,635,639,640,647,
663,664,689,690,699,704,707,737,743,753,795,802,803,806,819,839,867,887,915],[
1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,35,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
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,
112,113,114,115,116,117,118,119,126,130,134,136,139,143,150,151,152,153,154,
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,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,303,313,
315,319,321,325,329,335,344,345,346,347,348,349,350,351,352,353,354,355,356,
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,
471,472,473,474,475,476,477,500,501,504,505,507,510,518,519,521,533,536,538,
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,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,658,661,
663,667,674,676,686,687,689,709,710,711,712,713,714,715,716,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,732,733,754,758,763,772,783,791,
808,809,810,811,812,813,814,840,845,859,869,889,892,895,916],[1,2,3,4,5,7,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,39,42,43,
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,
116,117,118,119,126,129,133,136,139,143,150,151,152,153,154,155,156,157,158,
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,
273,274,275,276,277,278,279,280,281,282,283,284,285,303,312,314,320,321,326,
330,335,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
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,
475,476,477,499,502,503,506,508,510,517,520,521,533,537,539,556,557,558,559,
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,
617,618,619,620,621,622,623,624,625,626,627,628,629,657,662,664,668,673,675,
685,688,689,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,755,759,762,773,782,790,808,809,810,811,
812,813,814,841,844,858,869,888,893,894,917],[1,2,3,4,5,6,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,36,38,42,43,44,45,46,47,48,49,
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,
128,131,132,135,138,140,150,151,152,153,154,155,156,157,158,159,160,161,162,
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,
277,278,279,280,281,282,283,284,285,310,311,316,317,318,322,323,324,333,344,
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,
497,498,509,513,514,515,516,522,527,528,540,556,557,558,559,560,561,562,563,
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,
621,622,623,624,625,626,627,628,629,659,660,665,666,669,683,684,690,709,710,
711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,
730,731,732,733,756,757,760,761,770,771,776,784,787,808,809,810,811,812,813,
814,856,857,861,869,891,918],[1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,35,39,42,43,44,45,46,47,48,49,50,51,52,53,54,
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,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,126,129,130,133,
134,136,139,143,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
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,
279,280,281,282,283,284,285,303,312,313,314,315,319,320,321,325,326,329,330,
335,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,
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,
476,477,499,500,505,506,507,508,510,517,518,519,520,521,533,536,537,538,539,
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,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,663,664,
667,668,670,685,686,687,688,689,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,758,759,762,763,772,
773,777,785,786,808,809,810,811,812,813,814,858,859,860,869,890,919],[1,2,3,4,
5,6,7,8,9,11,16,22,25,26,27,28,29,33,34,35,36,37,38,39,40,42,75,76,92,98,99,
100,102,112,119,120,121,122,126,127,135,137,138,140,141,142,143,144,145,146,
181,186,212,234,258,285,286,287,288,289,290,291,292,293,302,303,321,331,332,
333,334,336,337,338,339,408,412,462,478,479,480,481,482,484,485,486,487,488,
489,490,533,545,546,547,548,629,630,631,632,633,634,636,637,638,639,640,641,
642,643,644,670,697,698,734,738,739,740,741,742,743,786,792,793,794,815,816,
824,862,874,898,920],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
28,29,32,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,
115,123,124,125,126,130,134,149,150,152,153,156,159,160,161,162,163,164,165,
166,168,170,171,172,177,178,181,182,183,184,191,193,195,199,210,220,226,227,
228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,
271,272,275,294,295,296,319,321,325,329,343,344,345,347,348,352,353,354,355,
360,361,362,363,365,366,368,370,373,376,378,379,381,384,385,387,406,431,432,
434,440,491,500,501,504,553,556,573,575,577,579,581,592,646,667,674,676,704,
710,745,747,749,754,799,826,827,829,845,864,875,900,921],[1,2,3,5,7,9,10,11,
12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,39,42,43,44,45,46,47,48,49,50,51,
52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,
84,88,89,99,100,103,104,105,106,112,115,123,124,125,126,129,133,149,150,151,
154,155,159,160,161,162,163,164,165,166,167,169,171,172,177,178,181,182,183,
184,192,194,196,200,209,221,226,227,228,229,230,231,232,233,239,240,241,242,
254,255,256,259,260,261,262,265,270,271,272,275,294,295,296,320,321,326,330,
343,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,374,375,
377,380,382,383,386,388,406,430,433,435,441,491,499,502,503,553,557,572,574,
576,578,581,593,645,668,673,675,704,709,744,746,748,755,798,825,828,830,844,
863,876,899,922],[1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,
29,38,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,
115,121,126,128,129,130,131,132,133,134,135,136,150,151,152,153,154,155,156,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,183,
184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,231,
232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,317,
318,319,320,321,322,323,324,325,326,329,330,344,345,346,347,348,349,352,353,
354,355,360,361,362,363,365,366,367,368,369,370,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,406,407,408,430,431,432,433,434,435,440,
441,481,483,497,498,499,500,501,502,503,504,505,506,507,508,509,510,513,514,
556,557,558,559,572,573,574,575,576,577,578,579,581,592,593,665,666,667,668,
669,670,673,674,675,676,709,710,717,735,736,737,754,755,756,757,758,759,784,
785,808,844,845,870,871,888,889,890,891,923],[1,2,3,4,5,6,7,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,42,43,
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,
116,117,118,121,126,128,129,130,131,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,150,152,153,156,157,158,159,160,161,162,163,164,165,166,168,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,193,195,198,199,202,203,204,205,206,207,210,211,212,213,214,215,
216,218,219,220,223,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
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,
277,278,279,280,281,282,288,291,293,303,305,306,308,310,312,313,314,315,316,
318,319,320,321,322,324,325,326,327,329,330,331,332,333,334,335,336,337,338,
344,345,347,348,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,368,370,371,373,376,378,379,381,384,385,387,389,390,391,394,395,397,
399,400,401,402,403,404,405,406,409,410,411,412,413,414,415,416,417,418,419,
420,421,423,424,425,426,427,428,431,432,434,437,438,439,440,442,443,444,445,
446,448,450,453,454,456,459,460,464,465,466,467,472,473,474,475,476,481,483,
489,498,499,500,501,504,506,508,509,510,511,513,515,517,520,521,522,523,525,
527,529,531,533,534,536,537,538,539,540,541,543,545,556,561,563,564,566,568,
570,571,573,575,577,579,580,581,582,584,586,588,591,592,594,597,599,602,603,
604,605,607,608,611,612,624,625,626,627,634,635,639,640,653,656,658,659,661,
663,664,665,667,668,671,674,676,677,680,681,683,685,688,689,690,691,694,695,
710,711,713,716,722,725,726,729,732,735,737,743,754,756,759,761,762,765,767,
769,771,772,773,775,779,781,783,788,810,818,819,820,823,840,842,845,846,849,
850,853,855,856,858,871,872,895,897,903,906,907,924],[1,2,3,4,5,6,7,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,
40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
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,
114,115,116,117,118,121,126,128,129,130,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,150,151,154,155,157,158,159,160,161,162,163,164,165,
166,167,169,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,192,194,196,197,200,201,203,204,205,206,208,209,211,212,213,
214,215,217,218,219,221,222,224,226,227,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,288,291,293,303,304,307,309,311,312,313,314,
315,316,317,319,320,321,323,324,325,326,328,329,330,331,332,333,334,335,336,
337,338,344,345,346,349,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,367,369,372,374,375,377,380,382,383,386,388,389,390,392,393,
396,398,399,400,401,402,403,404,405,406,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,424,425,426,427,429,430,433,435,436,438,439,441,442,443,
444,445,447,449,451,452,455,457,458,461,464,465,466,467,472,473,474,475,476,
481,483,489,497,499,500,502,503,505,507,509,510,512,514,516,518,519,521,522,
524,526,528,530,532,533,535,536,537,538,539,540,542,544,545,557,560,562,565,
567,569,570,571,572,574,576,578,580,581,583,585,587,589,590,593,594,598,600,
602,603,604,605,606,609,610,613,624,625,626,627,634,635,639,640,654,655,657,
660,662,663,664,666,667,668,672,673,675,678,679,682,684,686,687,689,690,692,
693,696,709,712,714,716,723,724,727,728,733,736,737,743,755,757,758,760,763,
764,766,768,770,772,773,774,778,780,782,789,811,817,819,821,822,841,843,844,
847,848,851,852,854,857,859,870,873,894,896,904,905,908,925],[1,2,3,4,5,6,9,
11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,40,42,46,
47,51,52,53,54,55,56,65,66,71,72,75,76,77,78,79,80,81,82,83,84,85,86,88,89,92,
94,95,96,97,98,99,100,101,102,111,112,113,114,120,123,124,125,131,132,135,137,
138,140,141,142,144,145,146,157,158,159,160,173,174,181,185,186,188,189,203,
204,211,212,213,214,219,234,235,236,237,238,243,244,254,255,256,258,259,265,
266,267,268,269,270,271,275,286,287,289,290,294,295,296,297,298,304,305,306,
307,308,309,310,311,317,318,322,323,327,328,331,332,333,334,336,337,338,350,
351,364,365,402,403,404,405,412,413,414,417,442,444,472,478,479,480,484,485,
486,487,488,490,491,492,493,511,512,513,514,515,516,523,524,525,526,527,528,
529,530,531,532,534,535,541,542,543,544,545,551,552,627,630,631,632,633,636,
637,638,643,644,647,677,678,679,680,681,682,683,684,691,692,693,694,695,696,
700,701,702,703,705,706,734,738,739,741,742,788,789,796,797,800,801,804,805,
824,838,865,866,884,885,886,912,913,914,926],[1,2,3,5,6,9,10,11,12,13,14,15,
17,18,19,20,21,22,23,24,28,29,32,33,37,38,42,43,44,45,46,47,48,49,50,51,52,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,
89,99,100,103,104,105,106,112,115,123,124,125,128,131,132,135,141,142,150,151,
152,153,154,155,156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
177,178,181,182,183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,
227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,
270,271,272,275,294,295,296,305,306,308,317,318,322,323,324,331,344,345,346,
347,348,349,352,353,354,355,360,361,362,363,365,366,367,368,369,370,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,406,407,408,430,431,
432,433,434,435,440,441,491,497,498,509,513,514,523,525,529,541,550,552,556,
557,558,559,572,573,574,575,576,577,578,579,581,592,593,646,653,656,665,666,
669,680,699,700,703,709,710,717,745,747,749,756,757,767,769,784,795,796,808,
826,827,829,842,875,891,927],[1,2,3,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,
23,24,28,29,32,33,37,38,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,
105,106,112,115,123,124,125,128,131,132,135,141,142,150,151,152,153,154,155,
156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,
183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,
231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,
294,295,296,304,307,309,317,318,322,323,324,331,344,345,346,347,348,349,352,
353,354,355,360,361,362,363,365,366,367,368,369,370,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,406,407,408,430,431,432,433,434,435,
440,441,491,497,498,509,513,514,524,526,530,542,550,551,556,557,558,559,572,
573,574,575,576,577,578,579,581,592,593,645,654,655,665,666,669,679,699,701,
702,709,710,717,744,746,748,756,757,766,768,784,795,797,808,825,828,830,843,
876,891,928],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,30,
31,32,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,101,103,104,105,106,
107,110,111,112,115,116,119,123,124,125,126,130,134,139,149,150,152,153,156,
159,160,161,162,163,164,165,166,168,170,171,172,175,177,178,180,181,182,183,
184,191,193,195,197,199,201,206,208,210,217,219,220,222,224,226,227,228,229,
230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,
275,283,284,285,294,295,296,297,298,319,321,325,329,343,344,345,347,348,352,
353,354,355,360,361,362,363,365,366,368,370,373,376,378,379,381,384,385,387,
406,422,429,431,432,434,436,439,440,452,457,458,461,462,463,468,469,470,471,
477,491,492,493,500,501,504,518,519,521,553,554,556,565,573,575,577,579,581,
583,585,590,592,595,596,601,615,616,618,620,646,647,667,674,676,704,710,714,
715,719,720,745,747,749,754,763,791,799,806,814,826,827,829,831,834,845,864,
875,878,880,892,900,902,910,921,929],[1,2,3,5,7,9,10,11,12,13,14,15,17,18,19,
20,21,22,23,24,28,29,30,31,32,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,
100,101,103,104,105,106,108,109,111,112,115,117,119,123,124,125,126,129,133,
139,149,150,151,154,155,159,160,161,162,163,164,165,166,167,169,171,172,176,
177,178,179,181,182,183,184,192,194,196,198,200,202,205,207,209,216,219,221,
223,225,226,227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,
261,262,265,270,271,272,275,283,284,285,294,295,296,297,298,320,321,326,330,
343,344,345,346,349,352,353,354,355,360,361,362,363,365,366,367,369,374,375,
377,380,382,383,386,388,406,423,428,430,433,435,437,438,441,453,456,459,460,
462,463,468,469,470,471,477,491,492,493,499,502,503,517,520,521,553,554,557,
564,572,574,576,578,581,582,584,591,593,595,596,601,614,617,619,621,645,647,
668,673,675,704,709,713,715,718,721,744,746,748,755,762,790,798,806,813,825,
828,830,832,833,844,863,876,877,879,893,899,901,909,922,930],[1,2,3,4,5,6,7,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,38,39,
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,
115,116,117,118,119,121,126,128,129,130,131,132,133,134,135,136,138,139,140,
143,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
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,
282,283,284,285,288,303,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,329,330,333,335,344,345,346,347,348,349,350,351,352,353,354,
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,
469,470,471,472,473,474,475,476,477,481,483,497,498,499,500,501,502,503,504,
505,506,507,508,509,510,513,514,515,516,517,518,519,520,521,522,527,528,533,
536,537,538,539,540,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
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,
627,628,629,634,635,657,658,659,660,661,662,663,664,665,666,667,668,669,670,
673,674,675,676,683,684,685,686,687,688,689,690,709,710,711,712,713,714,715,
716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,735,
736,737,754,755,756,757,758,759,760,761,762,763,770,771,772,773,776,777,782,
783,784,785,786,787,790,791,808,809,810,811,812,813,814,817,818,819,840,841,
844,845,856,857,858,859,860,861,869,870,871,888,889,890,891,892,893,894,895,
907,908,916,917,918,919,923,931],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,40,42,43,44,45,46,47,48,49,
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,
123,124,125,128,131,132,135,137,138,140,141,142,144,145,146,150,151,152,153,
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,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,294,
295,296,297,298,305,306,308,310,311,316,317,318,322,323,324,327,331,332,333,
334,336,337,338,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
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,
473,474,475,476,477,491,492,493,497,498,509,511,513,514,515,516,522,523,525,
527,528,529,531,534,540,541,543,545,550,552,556,557,558,559,560,561,562,563,
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,
621,622,623,624,625,626,627,628,629,646,647,653,656,659,660,665,666,669,671,
677,680,681,683,684,690,691,694,695,699,700,703,706,707,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,745,747,749,756,757,760,761,765,767,769,770,771,775,776,779,781,784,787,
788,795,796,800,802,803,804,808,809,810,811,812,813,814,826,827,829,831,834,
842,846,849,850,853,855,856,857,861,865,867,869,875,878,880,891,897,910,918,
927,932],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
107,108,109,110,111,112,113,114,115,116,117,118,119,123,124,125,128,131,132,
135,137,138,140,141,142,144,145,146,150,151,152,153,154,155,156,157,158,159,
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,
274,275,276,277,278,279,280,281,282,283,284,285,294,295,296,297,298,304,307,
309,310,311,316,317,318,322,323,324,328,331,332,333,334,336,337,338,344,345,
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,
460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,491,
492,493,497,498,509,512,513,514,515,516,522,524,526,527,528,530,532,535,540,
542,544,545,550,551,556,557,558,559,560,561,562,563,564,565,566,567,568,569,
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,
627,628,629,645,647,654,655,659,660,665,666,669,672,678,679,682,683,684,690,
692,693,696,699,701,702,705,707,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,744,746,748,756,757,
760,761,764,766,768,770,771,774,776,778,780,784,787,789,795,797,801,802,803,
805,808,809,810,811,812,813,814,825,828,830,832,833,843,847,848,851,852,854,
856,857,861,866,867,869,876,877,879,891,896,909,918,928,933],[1,2,3,5,6,7,9,
10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,33,37,38,39,42,43,44,45,46,
47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,
79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,121,123,124,125,126,
128,129,130,131,132,133,134,135,136,141,142,149,150,151,152,153,154,155,156,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,181,182,183,
184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,229,230,231,
232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,272,275,293,
294,295,296,304,307,309,317,318,319,320,321,322,323,324,325,326,329,330,331,
343,344,345,346,347,348,349,352,353,354,355,360,361,362,363,365,366,367,368,
369,370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,406,
407,408,430,431,432,433,434,435,440,441,481,483,491,497,498,499,500,501,502,
503,504,505,506,507,508,509,510,513,514,524,526,530,542,550,551,553,556,557,
558,559,572,573,574,575,576,577,578,579,581,592,593,639,645,654,655,665,666,
667,668,669,670,673,674,675,676,679,699,701,702,704,709,710,717,735,736,737,
744,746,748,753,754,755,756,757,758,759,766,768,784,785,795,797,798,808,822,
825,828,830,843,844,845,863,870,871,876,887,888,889,890,891,899,904,922,923,
928,934],[1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,33,
37,38,39,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,73,74,77,78,79,80,81,82,83,84,88,89,99,100,103,104,105,106,112,
115,121,123,124,125,126,128,129,130,131,132,133,134,135,136,141,142,149,150,
151,152,153,154,155,156,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,177,178,181,182,183,184,191,192,193,194,195,196,199,200,209,210,220,221,
226,227,228,229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,
265,270,271,272,275,293,294,295,296,305,306,308,317,318,319,320,321,322,323,
324,325,326,329,330,331,343,344,345,346,347,348,349,352,353,354,355,360,361,
362,363,365,366,367,368,369,370,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,406,407,408,430,431,432,433,434,435,440,441,481,483,491,
497,498,499,500,501,502,503,504,505,506,507,508,509,510,513,514,523,525,529,
541,550,552,553,556,557,558,559,572,573,574,575,576,577,578,579,581,592,593,
639,646,653,656,665,666,667,668,669,670,673,674,675,676,680,699,700,703,704,
709,710,717,735,736,737,745,747,749,753,754,755,756,757,758,759,767,769,784,
785,795,796,799,808,823,826,827,829,842,844,845,864,870,871,875,887,888,889,
890,891,900,903,921,923,927,935],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,
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,
118,119,121,123,124,125,126,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,149,150,151,152,153,154,155,156,157,158,159,160,
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,
275,276,277,278,279,280,281,282,283,284,285,288,291,293,294,295,296,297,298,
303,305,306,308,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,329,330,331,332,333,334,335,336,337,338,343,344,345,346,347,348,
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,
463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,481,483,489,491,
492,493,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,513,514,
515,516,517,518,519,520,521,522,523,525,527,528,529,531,533,534,536,537,538,
539,540,541,543,545,550,552,553,554,556,557,558,559,560,561,562,563,564,565,
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,
623,624,625,626,627,628,629,634,635,639,640,646,647,653,656,657,658,659,660,
661,662,663,664,665,666,667,668,669,670,671,673,674,675,676,677,680,681,683,
684,685,686,687,688,689,690,691,694,695,699,700,703,704,706,707,709,710,711,
712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,
731,732,733,735,736,737,743,745,747,749,753,754,755,756,757,758,759,760,761,
762,763,765,767,769,770,771,772,773,775,776,777,779,781,782,783,784,785,786,
787,788,790,791,795,796,799,800,802,803,804,806,808,809,810,811,812,813,814,
817,818,819,820,823,826,827,829,831,834,839,840,841,842,844,845,846,849,850,
853,855,856,857,858,859,860,861,864,865,867,869,870,871,872,875,878,880,887,
888,889,890,891,892,893,894,895,897,900,902,903,906,907,908,910,915,916,917,
918,919,921,923,924,927,929,931,932,935,936],[1,2,3,4,5,6,7,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,
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,
115,116,117,118,119,121,123,124,125,126,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,149,150,151,152,153,154,155,156,157,
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,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,288,291,293,294,295,
296,297,298,303,304,307,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,328,329,330,331,332,333,334,335,336,337,338,343,344,345,
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,
460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,481,
483,489,491,492,493,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
512,513,514,515,516,517,518,519,520,521,522,524,526,527,528,530,532,533,535,
536,537,538,539,540,542,544,545,550,551,553,554,556,557,558,559,560,561,562,
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,
620,621,622,623,624,625,626,627,628,629,634,635,639,640,645,647,654,655,657,
658,659,660,661,662,663,664,665,666,667,668,669,670,672,673,674,675,676,678,
679,682,683,684,685,686,687,688,689,690,692,693,696,699,701,702,704,705,707,
709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,
728,729,730,731,732,733,735,736,737,743,744,746,748,753,754,755,756,757,758,
759,760,761,762,763,764,766,768,770,771,772,773,774,776,777,778,780,782,783,
784,785,786,787,789,790,791,795,797,798,801,802,803,805,806,808,809,810,811,
812,813,814,817,818,819,821,822,825,828,830,832,833,839,840,841,843,844,845,
847,848,851,852,854,856,857,858,859,860,861,863,866,867,869,870,871,873,876,
877,879,887,888,889,890,891,892,893,894,895,896,899,901,904,905,907,908,909,
915,916,917,918,919,922,923,925,928,930,931,933,934,937],[1,2,3,5,6,9,10,11,
12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,33,37,38,41,42,43,44,45,46,47,48,
49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,80,
81,82,83,84,88,89,99,100,103,104,105,106,112,115,120,123,124,125,128,131,132,
135,141,142,147,150,151,152,153,154,155,156,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,177,178,181,182,183,184,191,192,193,194,195,196,199,
200,209,210,220,221,226,227,228,229,230,231,232,233,239,240,241,242,254,255,
256,259,260,261,262,265,270,271,272,275,286,287,289,294,295,296,299,304,305,
306,307,308,309,317,318,322,323,324,331,340,344,345,346,347,348,349,352,353,
354,355,360,361,362,363,365,366,367,368,369,370,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,406,407,408,430,431,432,433,434,435,440,
441,478,479,480,484,485,491,494,497,498,509,513,514,523,524,525,526,529,530,
541,542,550,551,552,556,557,558,559,572,573,574,575,576,577,578,579,581,592,
593,630,631,632,633,645,646,648,653,654,655,656,665,666,669,679,680,699,700,
701,702,703,709,710,717,738,744,745,746,747,748,749,750,756,757,766,767,768,
769,784,795,796,797,808,815,825,826,827,828,829,830,835,836,838,842,843,875,
876,882,884,885,891,914,927,928,938],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,123,124,125,128,131,132,135,137,138,140,141,142,144,145,146,147,
148,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
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,
282,283,284,285,286,287,289,290,294,295,296,297,298,299,304,305,306,307,308,
309,310,311,316,317,318,322,323,324,327,328,331,332,333,334,336,337,338,340,
341,342,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
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,
475,476,477,478,479,480,484,485,486,487,488,490,491,492,493,494,495,497,498,
509,511,512,513,514,515,516,522,523,524,525,526,527,528,529,530,531,532,534,
535,540,541,542,543,544,545,549,550,551,552,556,557,558,559,560,561,562,563,
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,
621,622,623,624,625,626,627,628,629,630,631,632,633,636,637,638,642,643,644,
645,646,647,648,649,652,653,654,655,656,659,660,665,666,669,671,672,677,678,
679,680,681,682,683,684,690,691,692,693,694,695,696,699,700,701,702,703,705,
706,707,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,732,733,734,738,739,740,741,742,744,745,746,747,748,
749,750,752,756,757,760,761,764,765,766,767,768,769,770,771,774,775,776,778,
779,780,781,784,787,788,789,795,796,797,800,801,802,803,804,805,808,809,810,
811,812,813,814,815,816,824,825,826,827,828,829,830,831,832,833,834,835,836,
837,838,842,843,846,847,848,849,850,851,852,853,854,855,856,857,861,865,866,
867,869,874,875,876,877,878,879,880,881,882,883,884,885,886,891,896,897,909,
910,911,912,913,914,918,926,927,928,932,933,938,939],[1,2,3,5,6,7,8,9,10,11,
12,13,14,15,17,18,19,20,21,22,23,24,28,29,32,33,37,38,39,41,42,43,44,45,46,47,
48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,77,78,79,
80,81,82,83,84,88,89,99,100,103,104,105,106,112,115,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,141,142,147,149,150,151,152,153,
154,155,156,159,160,161,162,163,164,165,166,167,168,169,170,171,172,177,178,
181,182,183,184,191,192,193,194,195,196,199,200,209,210,220,221,226,227,228,
229,230,231,232,233,239,240,241,242,254,255,256,259,260,261,262,265,270,271,
272,275,286,287,289,293,294,295,296,299,300,301,304,305,306,307,308,309,317,
318,319,320,321,322,323,324,325,326,329,330,331,339,340,343,344,345,346,347,
348,349,352,353,354,355,360,361,362,363,365,366,367,368,369,370,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,406,407,408,430,431,432,
433,434,435,440,441,478,479,480,481,482,483,484,485,491,494,497,498,499,500,
501,502,503,504,505,506,507,508,509,510,513,514,523,524,525,526,529,530,541,
542,547,550,551,552,553,555,556,557,558,559,572,573,574,575,576,577,578,579,
581,592,593,630,631,632,633,639,645,646,648,650,651,653,654,655,656,665,666,
667,668,669,670,673,674,675,676,679,680,697,699,700,701,702,703,704,709,710,
717,735,736,737,738,744,745,746,747,748,749,750,753,754,755,756,757,758,759,
766,767,768,769,784,785,792,795,796,797,798,799,807,808,815,822,823,825,826,
827,828,829,830,835,836,838,842,843,844,845,863,864,870,871,875,876,882,884,
885,887,888,889,890,891,898,899,900,903,904,914,921,922,923,927,928,934,935,
938,940],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,2,1],[1,3,
1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,
2,1],[1,1,1,1,1],[1,2,1,1],[1,2,1,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,1,1],[1,1,
1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,3,1,3,1,3,3,1],[1,4,3,1,6,1],[1,4,3,1,6,
1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,7,1,4,2,1],[1,7,1,
4,2,1],[1,1,1,5,2,1,1,2,1,1],[1,1,1,5,2,2,2,1,1],[1,1,1,5,2,2,2,1,1],[1,4,3,1,
6,1],[1,4,3,1,6,1],[1,1,6,3,3,1,1],[1,1,6,3,3,1,1],[1,4,3,1,3,3,1],[1,4,3,1,3,
3,1],[1,2,5,1,1,4,1,1],[1,2,5,1,1,4,1,1],[1,7,1,6,1],[1,7,1,6,1],[1,1,6,1,3,3,
1],[1,1,6,1,3,3,1],[1,1,2,4,1,1,2,2,1,1],[1,1,2,4,1,1,2,2,1,1],[1,1,6,3,1,1,2,
1],[1,1,6,3,1,1,2,1],[1,3,4,1,1,2,3,1],[1,3,4,1,1,2,3,1],[1,2,4,1,1,4,2,1],[1,
2,4,1,1,4,2,1],[1,2,5,2,1,3,1,1],[1,2,5,2,1,3,1,1],[1,1,1,4,1,2,1,2,2,1],[1,3,
2,1,1,1,1],[1,4,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,2,
3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,
1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,
1,1,1],[1,4,1,2,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,2,1],[1,1,1,1,1,
2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,
1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,1,1,1,2,1],[1,
1,2,1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,2,1,1,1,1],[1,2,1,1,2,1],[1,
2,1,1,2,1],[1,1,1,2,1],[1,1,1,1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,5,1,1],[1,5,1,
1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,2,
1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,
1,3,3,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[
1,1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,3,9,1,1,9,3,3,9,9,3,3,9,1],[1,
15,5,30,15,1],[1,15,5,30,15,1],[1,6,9,2,3,3,18,9,6,9,1],[1,6,9,2,3,3,18,9,6,9,
1],[1,6,9,1,1,6,3,12,12,1,3,2,6,3,1],[1,6,9,1,1,6,3,12,12,1,3,2,6,3,1],[1,1,3,
8,3,4,1,3,3,12,12,1,2,6,6,1],[1,1,3,8,3,4,1,3,3,12,12,1,2,6,6,1],[1,3,3,9,1,9,
6,1,6,9,3,3,1,3,2,6,1],[1,3,3,9,1,9,6,1,6,9,3,3,1,3,2,6,1],[1,1,5,9,2,1,1,4,2,
2,8,5,10,1,2,1,1,2,4,4,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,1,2,1,1,2,4,4,1],[1,1,1,
13,6,1,1,16,4,2,4,1,2,1,2,4,2,4,1],[1,1,1,13,6,1,1,16,4,2,4,1,2,1,2,4,2,4,1],[
1,1,5,9,1,2,6,1,3,10,5,7,1,1,1,2,4,2,2,2,1],[1,1,5,9,1,2,6,1,3,10,5,7,1,1,1,2,
4,2,2,2,1],[1,2,13,2,1,16,3,2,10,1,2,1,2,4,4,2,1],[1,2,13,1,2,16,3,2,10,1,2,1,
2,4,4,2,1],[1,4,11,1,10,2,4,12,6,2,1,4,4,4,1],[1,4,11,1,10,2,4,12,6,2,1,4,4,4,
1],[1,1,3,11,4,1,1,10,1,2,10,3,3,1,2,1,1,1,2,3,1,1,2,1],[1,1,3,11,4,1,1,10,1,
2,10,3,3,1,2,1,1,1,2,3,1,1,2,1],[1,1,3,3,1,3,3,4,1,6,1],[1,1,3,3,1,3,3,4,1,6,
1],[1,1,3,3,1,3,3,4,1,2,4,1],[1,1,3,3,1,3,3,4,1,2,4,1],[1,1,1,5,2,1,1,2,1,4,1,
2,2,2,1],[1,1,1,5,2,1,1,2,1,4,1,2,2,2,1],[1,1,3,3,1,3,3,4,1,2,2,2,1],[1,1,3,3,
1,3,3,4,1,2,2,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,4,1],[1,1,3,3,1,3,3,2,2,1,1,1,4,
1],[1,1,1,5,2,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,1,5,2,1,1,2,1,2,2,1,1,1,2,2,1],[1,
1,1,4,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,4,2,1,2,1],[1,1,1,1,1,2,4,1,2,1],[
1,1,1,1,1,2,2,2,1,1,1,1],[1,1,1,1,1,2,2,2,1,1,1,1],[1,1,1,1,1,2,2,2,1,1,1,1],[
1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,2,5,
1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,4,3,1,6,4,1,2,
1],[1,2,5,1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,
2,5,1,1,4,1,4,1,2,1],[1,1,1,5,2,2,2,1,2,2,1,1,1,1],[1,1,1,5,2,2,2,1,2,2,1,1,1,
1],[1,1,1,5,2,2,2,1,2,2,1,1,1,1],[1,1,1,5,2,2,2,1,2,2,1,1,1,1],[1,2,5,1,1,4,1,
4,1,2,1],[1,2,5,1,1,4,1,4,1,2,1],[1,2,5,1,1,4,1,2,2,1,1,1,1],[1,2,5,1,1,4,1,2,
2,1,1,1,1],[1,1,1,4,1,2,1,2,2,2,2,1,1,1,1],[1,1,1,4,1,2,1,2,2,2,2,1,1,1,1],[1,
1,3,3,1,3,3,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,
1],[1,7,1,4,2,4,1,2,1],[1,7,1,4,2,4,1,2,1],[1,1,1,5,2,1,1,2,1,2,2,1,1,1,1],[1,
3,1,3,1,3,3,2,2,1,1,1,1],[1,7,1,6,2,2,1,1,1,1],[1,7,1,6,2,2,1,1,1,1],[1,2,5,2,
1,3,1,2,2,1,1,1,1],[1,2,5,2,1,3,1,2,2,1,1,1,1],[1,4,3,1,3,3,2,2,1,1,1,1],[1,4,
3,1,3,3,2,2,1,1,1,1],[1,6,5,1,1,4,6,1,2,1,1,2,2,1,1],[1,6,5,1,1,4,1,6,2,1,1,2,
2,1,1],[1,4,7,1,6,6,2,1,1,4,1,1],[1,4,7,1,6,6,2,1,1,4,1,1],[1,11,1,4,6,2,2,1,
1,4,1,1],[1,11,1,6,4,2,2,1,1,4,1,1],[1,2,9,1,4,1,2,4,1,2,1,1,2,2,1,1],[1,2,9,
1,4,2,1,4,1,2,1,1,2,2,1,1],[1,1,1,8,1,4,1,4,4,2,2,4,1,1],[1,1,1,4,5,2,2,2,2,1,
2,2,2,1,1,4,1,1],[1,1,1,4,5,2,2,2,2,1,2,2,2,1,1,4,1,1],[1,1,1,4,5,2,2,2,2,1,2,
2,2,1,1,4,1,1],[1,1,1,4,5,2,2,2,2,1,2,2,2,1,1,4,1,1],[1,2,9,1,4,1,2,4,1,2,1,1,
2,2,1,1],[1,2,9,1,4,2,1,4,1,2,1,1,2,2,1,1],[1,11,1,6,4,2,2,1,1,2,2,1,1],[1,11,
1,4,6,2,2,1,1,2,2,1,1],[1,1,3,4,3,2,1,3,3,2,2,2,1,1,2,2,1,1],[1,1,3,4,3,2,1,3,
3,2,2,2,1,1,2,2,1,1],[1,4,4,3,1,6,4,2,2,1,1,2,2,1,1],[1,4,4,3,1,6,4,2,2,1,1,2,
2,1,1],[1,2,4,5,1,1,4,1,4,2,2,1,1,2,2,1,1],[1,2,4,5,1,1,4,1,4,2,2,1,1,2,2,1,
1],[1,2,4,5,1,1,4,1,6,2,1,1,2,2,1,1],[1,2,4,5,1,1,4,1,6,2,1,1,2,2,1,1],[1,4,7,
1,4,2,6,2,1,1,2,2,1,1],[1,4,7,1,4,2,6,2,1,1,2,2,1,1],[1,1,3,4,3,1,2,3,3,2,2,2,
1,1,2,2,1,1],[1,1,1,9,4,2,2,2,2,1,2,1,1,2,2,1,1],[1,1,3,7,2,2,1,2,3,3,2,1,1,2,
2,1,1],[1,1,3,7,2,2,1,2,3,3,2,1,1,2,2,1,1],[1,1,1,4,5,2,1,1,2,2,1,2,2,2,1,1,2,
2,1,1],[1,3,1,4,3,1,3,2,3,2,2,2,1,1,2,2,1,1],[1,1,5,5,1,1,5,3,3,2,1,1,1,1,1,1,
1,1],[1,1,10,3,3,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,8,1,3,1,1,2,2,3,1,1,1,1,
1,1,1,1,1,1],[1,3,8,3,1,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1],[1,4,4,3,1,3,3,4,2,2,1,
1,2,2,1,1],[1,4,4,3,1,3,3,4,2,2,1,1,2,2,1,1],[1,1,4,6,1,1,1,2,2,4,1,1,1,1,1,1,
1,1,1,1,1,1],[1,4,6,1,1,1,8,3,1,1,1,1,1,1,1,1,1,1],[1,6,5,1,1,11,1,1,1,1,1,1,
1,1,1,1],[1,2,6,3,1,1,4,7,1,1,1,1,1,1,1,1,1,1],[1,2,6,3,1,1,4,7,1,1,1,1,1,1,1,
1,1,1],[1,1,2,8,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,3,3,1,1,2,2,1,1,1,
1,1,1,1,1,1,1,1],[1,5,6,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,4,5,2,1,3,1,4,
2,2,1,1,2,2,1,1],[1,2,4,5,2,1,3,1,4,2,2,1,1,2,2,1,1],[1,1,10,5,3,3,1,1,1,1,1,
1,1,1,1,1,1,1],[1,1,1,1,1,2,4,1,2,4,1],[1,2,5,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,
2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,3,1,2,
2,2,2,1,1,1,1,1,1],[1,4,3,1,2,2,2,2,1,1,1,1,1,1],[1,4,2,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,1,1,1,1,2,1,2,1],[1,9,4,12,1,1],[1,
9,4,12,1,1],[1,9,1,3,9,3,1,1],[1,1,4,4,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,3,1],[1,1,10,5,1,2,1,1],[1,1,
5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,
3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,
1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,
3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,
1,1,1],[1,1,6,4,3,3,1,4,1,1,1],[1,1,6,4,3,3,1,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,
1,6,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,
1,3,3,3,1,3,3,1],[1,1,3,8,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,3,6,1,1,3,3,
2,3,3,1,1,1,1],[1,1,2,6,1,3,1,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,
1],[1,1,3,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,6,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,3,2,1,
1,1,1,3,2,1,1,1,1,1],[1,4,3,6,1,1,2,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,1,
1,1,1],[1,5,1,1,5,1,1,1],[1,3,7,21,1,1,21,3,3,36,6,9,36,21,18,7,1,3,6,3,9,18,
12,4,6,6,8,36,12,12,12,1,6,3,3,6,12,1],[1,3,7,21,1,1,21,3,3,36,6,9,36,21,18,7,
1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,1,6,3,3,6,12,1],[1,1,5,25,10,5,5,60,10,10,
40,5,10,10,5,10,10,10,20,20,10,30,10,20,1,5,10,5,10,1],[1,1,5,25,10,5,5,60,10,
10,40,5,10,10,5,10,10,10,20,20,10,30,10,20,1,5,10,5,10,1],[1,1,9,21,2,6,3,3,
36,6,12,48,9,30,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,1,6,3,6,3,6,6,1],[1,1,9,
21,2,6,3,3,36,6,12,48,9,30,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,1,6,3,6,3,6,6,
1],[1,3,3,8,9,1,9,6,4,1,6,9,3,12,12,4,3,1,3,2,2,6,6,6,4,12,6,1,1,1,6,6,1],[1,
3,3,8,9,1,9,6,4,1,6,9,3,12,12,4,3,1,3,2,2,6,6,6,4,12,6,1,1,1,6,6,1],[1,1,1,21,
10,1,1,16,16,4,4,2,4,4,1,4,2,2,1,2,2,4,4,2,2,4,4,8,8,2,2,2,1,1,1,4,4,4,1],[1,
1,9,13,2,1,1,4,4,2,2,2,8,8,9,10,10,4,1,1,2,2,1,1,1,2,2,4,4,4,4,4,4,4,4,2,2,2,
1,1,1,2,2,2,2,4,1],[1,1,5,17,6,1,1,4,16,2,4,2,4,8,5,10,4,1,2,1,2,1,2,4,2,2,4,
4,4,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,1,5,17,6,1,1,16,4,4,2,2,8,4,5,10,4,1,2,2,1,
1,2,4,2,2,4,4,4,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,1,5,8,9,1,2,6,4,1,3,10,5,7,12,
12,4,1,1,1,2,2,4,2,2,6,2,6,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,1,5,8,9,1,2,6,4,1,3,
10,5,7,12,12,4,1,1,1,2,2,4,2,2,6,2,6,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,1,5,8,9,2,
1,1,4,4,2,2,8,5,10,12,12,4,1,2,1,1,2,2,4,4,6,6,4,4,4,4,2,2,2,1,1,1,2,2,2,2,2,
2,1],[1,1,5,8,9,2,1,1,4,4,2,2,8,5,10,12,12,4,1,2,1,1,2,2,4,4,6,6,4,4,4,4,2,2,
2,1,1,1,2,2,2,2,2,2,1],[1,1,7,15,4,1,1,4,10,2,1,2,10,8,7,3,10,2,2,1,2,1,1,2,1,
2,1,1,2,3,4,1,4,1,2,2,2,4,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,7,15,
4,1,1,10,4,1,2,2,8,10,7,10,3,2,2,1,2,1,1,2,1,1,2,1,2,4,3,1,1,4,2,2,2,2,4,2,2,
2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,19,8,1,1,16,10,4,1,2,10,4,3,3,2,2,2,
1,2,2,4,1,1,2,1,2,3,4,1,1,2,2,2,2,2,2,4,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,3,19,8,1,1,10,16,1,4,2,4,10,3,3,2,2,2,1,2,2,1,4,1,1,2,2,3,1,4,1,2,2,2,2,2,2,
2,4,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,12,5,6,1,1,5,3,3,22,22,2,2,1,1,2,
2,6,6,11,1,1,1,1,2,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,5,15,1,15,6,
6,1,1,6,6,15,3,3,2,2,5,1,1,3,3,2,2,6,6,1,1,1,1,2,2,2,2,2,2,1,1,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,7,15,1,4,6,6,1,1,3,10,10,7,7,7,2,2,1,1,1,1,1,2,2,4,4,2,2,2,
2,2,2,1,1,1,1,2,2,2,2,2,2,1,1,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,15,5,30,6,6,1,
15,12,3,1,3,3,1],[1,4,15,5,30,6,6,1,15,12,3,1,3,3,1],[1,10,9,2,3,3,18,9,6,6,1,
6,9,6,6,3,1,3,3,1],[1,10,9,2,3,3,18,6,9,6,1,6,9,6,6,3,1,3,3,1],[1,6,4,9,2,3,3,
18,9,6,6,1,6,9,6,6,3,1,3,3,1],[1,6,4,9,2,3,3,18,9,6,6,1,6,9,6,6,3,1,3,3,1],[1,
19,5,30,4,2,4,2,1,15,4,4,4,1,2,1,1,2,1,2,1],[1,19,5,4,30,2,4,2,1,15,4,4,4,1,2,
1,1,2,1,2,1],[1,4,15,1,4,10,2,2,4,12,6,6,1,2,1,4,4,4,4,4,4,3,1,1,2,1,2,1],[1,
4,15,1,10,4,2,2,4,12,6,6,1,2,1,4,4,4,4,4,4,3,1,1,2,1,2,1],[1,8,11,1,10,2,4,12,
6,6,4,2,1,2,1,4,4,4,4,4,4,1,2,1,1,2,2,1,1],[1,8,11,1,10,2,4,12,6,6,4,2,1,2,1,
4,4,4,4,4,4,1,2,1,1,2,2,1,1],[1,6,13,2,3,4,3,2,18,9,2,4,1,6,9,2,2,4,4,2,1,1,1,
2,1,2,1],[1,6,13,2,3,4,2,3,18,9,2,4,1,6,9,2,2,4,4,2,1,1,1,2,1,2,1],[1,6,13,1,
2,16,3,2,10,6,1,2,4,1,2,1,2,4,4,2,2,2,8,2,1,1,1,2,1,2,1],[1,6,13,2,1,16,3,2,
10,1,6,2,4,1,2,1,2,4,4,2,2,2,8,2,1,1,1,2,1,2,1],[1,2,17,2,1,4,16,2,3,2,10,1,6,
1,2,1,2,4,4,2,2,2,4,4,3,1,2,1,1,2,1],[1,2,17,1,2,16,4,3,2,2,10,1,6,2,1,1,2,4,
4,2,2,2,4,4,3,1,2,1,1,2,1],[1,2,17,1,2,16,4,3,2,2,10,1,2,4,2,1,1,2,4,4,2,2,2,
2,2,4,2,1,1,1,1,1,1,1,1,1],[1,2,17,2,1,4,16,2,3,2,10,1,2,4,1,2,1,2,4,4,2,2,2,
2,4,2,2,1,1,1,1,1,1,1,1,1],[1,4,15,1,10,4,2,2,4,12,6,4,2,1,2,1,4,4,4,2,2,2,2,
2,2,1,2,1,1,1,1,1,1,1,1],[1,4,15,1,4,10,2,2,4,12,6,4,2,1,2,1,4,4,4,2,2,2,2,2,
2,1,2,1,1,1,1,1,1,1,1],[1,1,1,4,13,6,1,1,16,2,4,2,4,1,2,2,2,2,2,2,1,2,4,2,4,1,
2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,4,13,6,1,1,16,2,4,2,4,1,2,2,2,2,2,2,1,2,
4,2,4,1,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,13,1,2,16,3,2,10,1,6,6,2,1,1,2,
4,4,2,4,4,2,2,3,1,1,2,1,2,1],[1,2,4,13,2,1,16,3,2,10,1,6,6,2,1,1,2,4,4,2,4,2,
4,2,3,1,1,2,1,2,1],[1,6,4,9,2,3,3,18,9,4,2,2,4,6,9,1,2,4,2,4,1,2,1,1,2,1,2,
1],[1,6,4,9,2,3,3,18,9,4,2,2,4,6,9,1,2,4,2,4,1,2,1,1,2,1,2,1],[1,6,4,9,1,1,6,
3,12,12,4,2,2,4,1,3,2,6,1,3,2,2,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,6,4,9,1,1,6,3,
12,12,4,2,2,4,1,3,2,6,1,3,2,2,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,2,4,13,1,2,16,3,2,
10,1,4,2,2,4,2,1,2,4,4,1,2,2,2,4,4,1,2,1,1,2,1,2,1],[1,2,4,13,2,1,16,3,2,10,1,
4,2,2,4,2,1,2,4,4,1,2,2,2,4,4,1,2,1,1,2,1,2,1],[1,1,5,4,9,1,2,6,2,1,3,10,5,7,
2,2,2,2,2,1,1,1,2,4,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,4,9,1,2,6,
2,1,3,10,5,7,2,2,2,2,2,1,1,1,2,4,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,
3,3,4,9,1,1,9,3,3,2,9,9,2,2,2,2,2,3,3,9,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[
1,1,3,8,7,2,2,4,1,2,3,3,12,12,2,2,2,1,1,2,6,6,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[
1,1,3,8,7,2,2,4,1,2,3,3,12,12,2,2,2,1,1,2,6,6,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[
1,3,3,4,9,1,9,6,2,1,6,9,3,2,2,2,2,2,3,1,3,2,6,1,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,
1],[1,3,3,4,9,1,9,6,2,1,6,9,3,2,2,2,2,2,3,1,3,2,6,1,2,2,4,2,2,1,1,1,1,1,1,1,1,
1,1,1],[1,3,3,9,1,1,9,3,3,9,9,4,4,3,3,9,2,2,2,2,2,2,8,8,1,1,1,2,2,4,4,1],[1,1,
3,3,1,3,3,6,6,1,3,3,12,3,1],[1,3,1,3,1,3,3,6,6,1,3,3,12,3,1],[1,1,1,8,5,2,1,1,
4,2,1,4,4,4,4,1,2,4,4,4,2,2,2,2,4,4,4,1,2,1,2,1,4,4,1],[1,1,5,4,5,2,1,1,5,3,3,
2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,3,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
3,8,3,1,4,3,3,4,4,2,2,4,1,2,4,4,4,1,1,2,4,1,1,2,1,2,1],[1,3,1,8,3,1,3,4,3,4,4,
4,2,2,1,2,4,4,4,1,1,2,4,1,1,2,1,2,1],[1,1,3,4,7,2,2,2,1,2,3,3,2,2,4,2,2,1,1,1,
2,2,2,2,4,1,6,1,1,1,1,1,1,1,1,1],[1,1,3,4,7,2,2,2,1,2,3,3,2,2,4,2,2,1,1,1,2,2,
2,2,4,1,6,1,1,1,1,1,1,1,1,1],[1,1,3,4,7,2,2,2,1,2,3,3,2,2,2,2,4,1,1,1,2,2,2,4,
2,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,3,4,7,2,2,2,1,2,3,3,2,2,2,2,4,1,1,1,2,2,2,4,2,
1,2,1,4,1,1,1,1,1,1,1,1],[1,1,1,4,9,4,2,2,2,2,2,1,2,2,4,2,2,1,1,1,2,2,8,1,2,1,
2,2,1,1,1,1,1,1,1,1],[1,1,1,4,9,4,2,2,2,2,2,1,2,2,2,2,4,1,1,1,2,2,4,4,1,2,1,2,
2,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,3,2,2,4,4,1,1,1,2,2,4,4,1,1,2,2,1,1],[1,1,3,3,
1,3,3,4,2,2,4,1,1,1,2,2,4,4,1,1,2,2,1,1],[1,1,1,5,2,1,1,2,1,4,4,4,1,2,2,2,2,2,
1,1,1,2,2,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,8,1,2,1,1,2,4,4,4,8,1,2,2,2,1],[1,1,
5,9,2,1,1,4,2,2,8,5,10,8,1,2,1,1,2,4,4,4,8,1,2,2,2,1],[1,1,5,9,2,1,1,4,2,2,8,
5,10,4,4,1,2,1,1,2,4,4,2,6,4,1,1,1,2,2,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,1,2,
1,1,2,4,4,2,6,4,1,1,1,2,2,1],[1,1,5,9,1,2,6,1,3,10,5,7,4,4,1,1,1,2,4,2,2,2,6,
2,2,2,1,1,1,2,2,1],[1,1,5,9,1,2,6,1,3,10,5,7,4,4,1,1,1,2,4,2,2,2,6,2,2,2,1,1,
1,2,2,1],[1,1,5,9,1,2,6,1,3,10,5,7,4,4,1,1,1,2,4,2,2,2,2,2,2,2,4,1,1,1,2,2,
1],[1,1,5,9,1,2,6,1,3,10,5,7,4,4,1,1,1,2,4,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,
3,11,4,1,1,10,1,2,10,3,3,6,2,1,2,1,1,1,2,3,1,1,2,2,1,2,3,2,2,1,1,1,1,1,1,1,
1],[1,1,3,11,4,1,1,10,1,2,10,3,3,6,2,1,2,1,1,1,2,3,1,1,2,2,1,3,2,2,2,1,1,1,1,
1,1,1,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,1,2,1,1,2,4,4,2,2,4,4,1,2,1,1,2,1],[
1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,1,2,1,1,2,4,4,2,2,4,4,1,2,1,1,2,1],[1,1,1,13,6,
1,1,16,4,2,4,1,4,4,2,1,2,4,2,4,2,2,4,4,1,2,1,1,2,1],[1,1,1,13,6,1,1,16,4,2,4,
1,4,4,2,1,2,4,2,4,2,2,4,4,1,2,1,1,2,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,8,1,2,1,1,
2,4,4,4,4,4,1,2,2,2,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,8,1,2,1,1,2,4,4,4,4,4,1,2,
2,2,1],[1,3,3,9,1,9,6,1,6,9,3,4,4,3,1,3,2,6,2,2,2,2,4,1,1,1,2,2,1],[1,3,3,9,1,
9,6,1,6,9,3,4,4,3,1,3,2,6,2,2,2,2,4,1,1,1,2,2,1],[1,1,3,11,4,1,1,10,1,2,10,3,
3,2,6,1,2,1,1,1,2,3,1,1,2,2,2,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,11,4,1,1,10,1,2,
10,3,3,2,6,1,2,1,1,1,2,3,1,1,2,2,3,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,4,3,1,3,2,
3,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,4,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,1,2,3,3,2,
2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,6,2,2,
1,1,1,1,1,1,1,1,11,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,3,2,2,6,1,1,1,1,1,1,1,3,
1,4,4,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,4,1,4,2,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,
5,1,1,4,1,4,2,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,4,1,4,2,4,6,1,1,2,2,2,1,
2,1,1,1,1],[1,2,4,5,1,1,4,1,4,2,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,4,1,6,
4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,4,1,6,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[
1,2,9,1,4,2,1,4,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,9,1,4,1,2,4,1,2,4,4,1,1,2,
2,1,2,2,1,1,1,1],[1,2,4,5,1,1,4,1,6,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,
4,1,6,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,6,5,1,1,4,6,1,2,4,4,1,1,2,2,1,2,2,1,1,1,
1],[1,6,5,1,1,4,1,6,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,7,1,6,6,2,8,1,1,4,1,4,2,
1,1],[1,4,7,1,6,6,2,8,1,1,4,1,4,2,1,1],[1,11,1,4,6,2,2,8,1,1,4,1,4,2,1,1],[1,
11,1,6,4,2,2,8,1,1,4,1,4,2,1,1],[1,3,1,3,1,3,3,2,2,1,1,1,4,4,1,2,1],[1,1,3,3,
1,3,3,2,2,1,1,1,4,4,1,2,1],[1,1,1,9,4,2,2,2,2,1,2,2,4,2,1,1,2,2,1,1,1,2,4,1,1,
1,1,1,1,1,1],[1,1,1,4,5,2,1,1,2,2,1,2,2,2,4,2,2,1,1,2,2,2,1,1,2,2,1,1,1,1,1,1,
1,1,1],[1,1,3,7,2,2,1,2,3,3,2,2,4,2,1,1,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,
3,7,2,2,1,2,3,3,2,2,4,2,1,1,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,11,1,6,4,2,2,
1,1,4,1,4,1,2,1],[1,11,1,4,6,2,2,1,1,4,1,4,1,2,1],[1,4,7,1,6,6,2,1,1,4,1,4,1,
2,1],[1,4,7,1,6,6,2,1,1,4,1,4,1,2,1],[1,1,1,8,9,4,2,2,4,2,2,1,4,4,2,2,2,1,1,2,
2,2,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,9,1,4,1,2,4,1,4,16,2,4,1,2,1,1,1,2,
2,2,4,4,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,2,8,9,1,4,2,1,4,1,4,16,2,4,
1,1,2,1,1,2,2,4,2,4,2,2,1,1,2,1,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,6,8,5,1,1,4,6,1,
12,8,2,4,1,1,1,1,2,2,2,2,4,2,2,4,1,2,1,1,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,6,8,5,
1,1,4,1,6,12,8,2,4,1,1,1,2,1,2,2,2,4,2,4,2,1,1,2,1,2,2,2,1,2,1,1,2,2,2,2,2,
1],[1,1,1,5,2,1,1,2,1,4,1,2,2,2,4,1,2,2,2,1],[1,3,4,1,12,1,4,3,1],[1,1,18,4,9,
24,4,1,12,2,1,1],[1,1,9,9,4,9,12,12,4,1,12,1,1,1,1],[1,3,1,12,1,3,4,3,1,1],[1,
3,1,12,1,3,4,3,1,1],[1,3,4,9,1,3,4,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,
1,1,1],[1,1,6,4,3,2,4,6,1,3,1,1,2,1],[1,9,6,4,9,12,2,6,1,6,1,2,1],[1,6,9,4,9,
2,12,6,1,6,1,2,1],[1,3,12,1,3,9,1,10,3,3,3,1,3,3,1,1,1,1],[1,1,4,3,4,1,1,3,1,
1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,
5,5,10,1,5,1,1,1,1,2,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,3,1,1,1,3,1,
1],[1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[1,3,
3,9,16,1,1,9,3,3,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,9,3,3,9,9,3,3,9,4,4,12,
1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,5,30,15,20,1,1],[1,6,9,16,2,3,3,18,9,6,
9,8,12,1,1],[1,6,9,16,2,3,3,18,9,6,9,8,12,1,1],[1,6,9,4,2,3,3,18,9,12,6,9,1,4,
1,3,1],[1,6,9,4,2,3,3,18,9,12,6,9,1,4,1,3,1],[1,6,9,4,1,1,6,3,12,12,12,1,3,2,
6,3,1,4,1,1,2,1],[1,6,9,4,1,1,6,3,12,12,12,1,3,2,6,3,1,4,1,1,2,1],[1,3,3,9,4,
1,1,9,3,3,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,1,9,3,3,9,9,12,3,3,9,1,4,1,3,
1],[1,1,3,8,3,4,4,1,3,3,12,12,4,8,1,2,6,6,1,4,1,1,2,1],[1,1,3,8,3,4,4,1,3,3,
12,12,4,8,1,2,6,6,1,4,1,1,2,1],[1,3,3,9,4,1,9,6,1,6,9,3,12,3,1,3,2,6,1,4,1,1,
2,1],[1,3,3,9,4,1,9,6,1,6,9,3,12,3,1,3,2,6,1,4,1,1,2,1],[1,1,3,3,4,1,3,3,6,6,
4,1,3,3,1,4,3,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,4,3,4,1,6,12,4,
1,6,1,4,3,1,1],[1,4,3,4,1,6,12,4,1,6,1,4,3,1,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,
4,3,1,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,
4,3,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,9,9,4,1,3,9,9,3,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,6,4,4,4,3,1,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,3,15,4,6,6,1,6,3,3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,3,15,4,6,6,
1,6,3,3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,3,12,3,4,6,1,3,3,6,6,6,8,4,1,3,6,6,
3,1,4,3,2,1,1],[1,1,3,12,3,4,6,1,3,3,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,6,
12,4,3,3,3,1,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,3,1,
6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,1,3,21,3,3,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,3,1,21,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,3,1,12,3,4,1,3,6,3,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,6,10,3,4,1,3,12,
9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,10,3,4,1,3,12,9,3,3,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,4,12,3,4,1,6,12,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,4,
12,3,4,1,6,12,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,4,12,3,4,1,3,3,12,6,6,8,4,1,3,
6,6,3,1,4,3,2,1,1],[1,4,12,3,4,1,3,3,12,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,3,
12,3,4,1,6,3,3,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,18,4,9,3,9,1,3,3,3,8,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,9,9,3,3,1,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,3,3,4,1,3,3,4,4,1,6,1,4,1,1,1],[1,1,3,3,4,1,3,3,4,4,1,6,1,4,1,1,
1],[1,3,3,8,9,1,1,9,4,9,6,6,4,1,2,3,3,2,3,3,4,6,3,1,1,1,1,3,3,2,2,1,3,1,1,1,1,
1,1,1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,
4,3,6,6,3,3,9,1,1,2,3,3,6,1,1],[1,3,2,1,1,1,1,1,3,2,1,1,1,1],[1,15,10,5,6,10,
6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,
5,1,15,1,5,1,5,1,3,1,1],[1,7,15,1,7,1,2,1,1],[1,3,15,45,1,5,45,15,15,180,30,
45,180,45,90,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,5,6,10,60,
30,45,45,90,90,90,180,15,18,30,1],[1,3,15,45,1,5,45,15,15,180,30,45,180,45,90,
15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,5,6,10,60,30,45,45,90,90,
90,180,15,18,30,1],[1,3,3,9,1,1,9,3,3,9,9,12,12,3,3,9,6,6,6,6,6,6,24,24,1,3,3,
6,6,12,12,3,4,1],[1,3,3,9,1,1,9,3,3,9,9,12,12,3,3,9,6,6,6,6,6,6,24,24,1,3,3,6,
6,12,12,3,4,1],[1,1,9,21,2,6,3,3,36,6,12,48,9,30,4,12,3,2,4,3,3,6,2,12,12,6,
12,18,18,30,24,6,6,12,1,6,3,6,3,6,6,1,3,6,6,6,6,1,3,3,1],[1,1,9,21,2,6,3,3,36,
6,12,48,9,30,4,12,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,6,6,12,1,6,3,6,3,6,6,1,
3,6,6,6,6,1,3,3,1],[1,1,9,21,2,6,3,3,36,6,12,48,9,30,4,8,4,3,2,4,3,3,6,2,12,
12,6,12,18,18,30,24,2,6,4,4,4,4,1,6,3,6,3,6,6,1,1,2,4,2,2,4,2,2,4,4,1,1,2,2,1,
1],[1,1,9,21,2,6,3,3,36,6,12,48,9,30,4,8,4,3,2,4,3,3,6,2,12,12,6,12,18,18,30,
24,2,6,4,4,4,4,1,6,3,6,3,6,6,1,1,2,4,2,2,4,2,2,4,4,1,1,2,2,1,1],[1,3,7,21,1,1,
21,3,3,36,6,9,36,21,18,8,8,7,1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,4,4,4,4,8,1,
6,3,3,6,12,2,2,2,2,4,2,2,4,4,4,1,1,2,1,2,1],[1,3,7,21,1,1,21,3,3,36,6,9,36,21,
18,8,8,7,1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,4,4,4,4,8,1,6,3,3,6,12,2,2,2,2,4,
2,2,4,4,4,1,1,2,1,2,1],[1,1,9,8,21,2,6,3,3,36,4,6,12,48,9,30,12,12,12,3,2,4,3,
3,6,2,2,12,12,6,12,18,18,30,6,24,6,12,12,12,12,6,6,6,1,6,1,3,6,3,6,6,3,6,6,6,
6,6,6,6,6,1,3,2,6,3,1],[1,1,9,8,21,2,6,3,3,36,4,6,12,48,9,30,12,12,12,3,2,4,3,
3,6,2,2,12,12,6,12,18,18,30,6,24,6,12,12,12,12,6,6,6,1,6,1,3,6,3,6,6,3,6,6,6,
6,6,6,6,6,1,3,2,6,3,1],[1,1,9,8,21,2,6,3,3,36,4,6,12,48,9,30,12,12,4,8,3,2,4,
3,3,6,2,2,12,12,6,12,18,18,30,6,24,6,4,8,4,4,8,16,4,4,2,2,2,8,1,6,1,3,6,3,6,6,
2,1,2,2,4,4,4,2,2,2,2,2,4,2,8,8,1,2,1,2,4,2,1,2,1],[1,1,9,8,21,2,6,3,3,36,4,6,
12,48,9,30,12,12,4,8,3,2,4,3,3,6,2,2,12,12,6,12,18,18,30,6,24,6,4,8,4,4,8,16,
4,4,2,2,2,8,1,6,1,3,6,3,6,6,2,1,2,2,4,4,4,2,2,2,2,2,4,2,8,8,1,2,1,2,4,2,1,2,
1],[1,3,7,8,21,1,1,21,3,3,36,4,6,9,36,21,18,12,12,4,4,4,7,1,3,6,3,9,18,2,12,4,
6,6,8,36,12,12,6,12,6,4,4,4,4,4,4,8,4,12,2,6,2,2,2,4,1,1,6,3,3,6,12,1,1,1,2,2,
2,2,2,2,2,6,2,2,2,2,2,2,2,6,4,4,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,7,8,21,1,1,21,3,
3,36,4,6,9,36,21,18,12,12,4,4,4,7,1,3,6,3,9,18,2,12,4,6,6,8,36,12,12,6,12,6,4,
4,4,4,4,4,8,4,12,2,6,2,2,2,4,1,1,6,3,3,6,12,1,1,1,2,2,2,2,2,2,2,6,2,2,2,2,2,2,
2,6,4,4,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,13,25,2,6,3,3,4,36,2,6,12,48,8,13,30,10,
8,4,1,3,2,2,4,1,3,3,6,2,12,2,12,6,12,18,4,18,4,30,24,8,4,8,4,8,4,4,4,4,2,2,2,
4,4,4,1,6,3,1,6,3,6,6,1,2,2,3,1,4,2,2,4,2,2,2,2,2,4,4,4,4,4,1,1,2,1,2,1,1,1,2,
2,1,1],[1,1,13,25,2,6,3,3,36,4,6,2,12,8,48,13,10,30,8,4,3,1,2,4,2,3,1,3,6,2,
12,12,2,6,12,4,18,18,30,4,24,8,8,4,4,4,8,4,4,4,2,2,4,2,4,4,1,6,1,3,6,3,6,6,1,
2,2,3,1,4,2,4,2,2,2,2,2,2,4,4,4,4,4,1,1,2,1,2,1,1,1,2,2,1,1],[1,1,9,29,10,5,5,
4,60,2,10,10,40,8,9,10,10,4,8,1,2,1,10,5,10,10,2,10,20,20,10,4,30,4,10,20,4,4,
16,4,4,4,8,4,2,4,2,2,4,4,1,1,5,10,5,10,1,2,3,1,2,2,4,2,4,2,4,2,2,4,4,4,4,4,1,
1,2,1,1,1,1,2,2,1,2,1],[1,1,9,29,10,5,5,60,4,10,2,10,8,40,9,10,10,4,8,1,2,10,
1,5,10,10,10,2,20,20,4,10,30,10,4,20,4,4,4,16,4,4,4,8,2,2,4,2,4,4,1,1,5,10,5,
10,1,2,3,1,2,2,4,2,4,2,2,4,2,4,4,4,4,4,1,1,2,1,1,1,1,2,2,1,2,1],[1,1,5,33,14,
5,5,16,60,4,10,10,40,4,5,10,8,4,2,10,5,10,2,4,10,10,2,20,20,10,4,30,10,20,4,4,
4,12,12,8,4,2,2,2,4,4,4,1,1,5,10,5,10,1,2,1,3,2,2,4,2,2,2,4,6,4,4,4,4,4,1,1,2,
2,2,2,2,2,1,1],[1,1,5,33,14,5,5,60,16,10,4,10,4,40,5,10,8,4,10,2,5,2,10,10,4,
10,20,2,20,10,30,4,10,20,4,4,4,12,12,4,8,2,2,4,2,4,4,1,5,1,10,5,10,1,2,1,3,2,
2,4,2,2,2,6,4,4,4,4,4,4,1,1,2,2,2,2,2,2,1,1],[1,1,9,29,2,10,3,3,16,36,4,6,12,
48,4,9,30,4,8,3,2,4,2,3,3,6,2,4,2,12,12,2,6,12,18,4,18,30,24,4,4,12,4,4,8,12,
2,4,2,2,4,4,1,6,3,1,6,3,6,6,1,2,2,1,3,4,2,2,2,2,2,6,2,4,4,4,4,4,1,1,2,2,2,2,2,
1,2,1],[1,1,9,29,2,10,3,3,36,16,6,4,12,4,48,9,30,4,8,3,2,4,3,2,3,2,6,2,4,12,
12,6,2,12,18,18,4,30,24,4,4,12,4,4,12,8,2,2,4,2,4,4,1,6,3,1,6,3,6,6,1,2,2,1,3,
4,2,2,2,2,2,6,2,4,4,4,4,4,1,1,2,2,2,2,2,1,2,1],[1,1,9,13,2,1,1,4,4,2,2,2,8,8,
9,10,10,8,4,8,1,1,2,2,1,1,1,2,2,4,4,4,4,4,4,4,4,2,4,20,2,2,8,8,1,1,2,2,2,2,1,
2,2,4,4,4,4,2,2,2,2,4,1,2,2,2,4,4,1],[1,3,11,33,1,1,33,3,3,36,36,6,6,9,36,36,
33,18,18,4,4,11,1,1,3,6,6,3,3,9,18,18,12,12,4,4,6,6,6,6,8,8,36,36,12,12,12,12,
12,12,4,4,4,4,8,8,8,8,8,8,2,2,2,2,2,2,8,8,1,6,6,3,3,3,3,6,6,12,12,1,1,2,2,4,4,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,4,4,4,4,4,4,1,1],[
1,1,5,17,6,1,1,4,16,2,4,2,4,8,5,10,4,16,1,2,1,2,1,2,4,2,2,4,4,4,8,8,2,8,2,2,
16,1,1,4,1,4,4,2,2,4,4,1,2,4,1],[1,1,5,17,6,1,1,16,4,4,2,2,8,4,5,10,4,16,1,2,
2,1,1,2,4,2,2,4,4,4,8,8,2,8,2,2,16,1,1,4,1,4,4,2,2,4,4,1,2,4,1],[1,1,5,17,6,1,
1,4,16,2,4,2,4,8,5,10,4,16,1,2,1,2,1,2,4,2,2,4,4,4,8,8,2,2,2,8,8,8,1,1,1,4,4,
4,2,2,4,4,1,2,4,1],[1,1,5,17,6,1,1,16,4,4,2,2,8,4,5,10,4,16,1,2,2,1,1,2,4,2,2,
4,4,4,8,8,2,2,2,8,8,8,1,1,1,4,4,4,2,2,4,4,1,2,4,1],[1,1,5,8,9,2,1,1,4,4,2,2,8,
5,10,12,12,4,4,4,8,1,2,1,1,2,2,4,4,6,6,4,4,4,4,4,2,2,2,2,2,4,4,8,1,1,2,1,2,1,
2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,5,8,9,2,1,1,4,4,2,2,8,5,10,12,12,4,4,4,
8,1,2,1,1,2,2,4,4,6,6,4,4,4,4,4,2,2,2,2,2,4,4,8,1,1,2,1,2,1,2,1,2,2,2,2,2,2,2,
2,1,1,1,2,2,1],[1,1,5,8,9,2,1,1,4,4,2,2,8,5,10,12,12,4,4,12,1,2,1,1,2,2,4,4,6,
6,4,4,4,4,2,2,6,6,6,4,4,1,1,3,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,5,8,9,
2,1,1,4,4,2,2,8,5,10,12,12,4,4,12,1,2,1,1,2,2,4,4,6,6,4,4,4,4,2,2,6,6,6,4,4,1,
1,3,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,9,13,2,1,1,4,4,2,2,2,8,8,9,10,
10,4,8,8,1,1,2,2,1,1,1,2,2,4,4,4,4,4,4,4,4,2,4,2,2,4,4,4,8,1,1,2,1,2,2,2,2,2,
2,2,2,2,4,1,1,1,2,2,1],[1,1,9,13,2,1,1,4,4,2,2,2,8,8,9,10,10,4,8,8,1,1,2,2,1,
1,1,2,2,4,4,4,4,4,4,4,4,2,4,2,2,4,4,4,8,1,1,2,1,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,
1],[1,3,7,21,1,1,21,3,3,36,6,9,36,21,18,8,8,7,1,3,6,3,9,18,12,4,6,6,8,36,12,
12,12,4,4,4,4,4,4,16,16,1,6,3,3,6,12,2,2,4,4,8,8,2,2,2,2,4,4,1,2,4,2,2,4,1],[
1,3,7,21,1,1,21,3,3,36,6,9,36,21,18,8,8,7,1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,
4,4,4,4,4,4,16,16,1,6,3,3,6,12,2,2,4,4,8,8,2,2,2,2,4,4,1,2,4,2,2,4,1],[1,1,9,
16,13,2,1,1,4,4,8,2,2,2,8,8,9,10,10,40,40,4,8,1,1,2,2,1,1,1,4,4,2,2,4,4,4,4,
12,12,20,4,4,4,4,8,8,8,8,8,8,8,2,2,2,4,4,4,4,4,8,8,8,2,2,1,1,1,2,2,4,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,2,8,8,8,8,8,8,1,2,2,4,2,4,4,4,4,4,1],[1,1,5,
17,6,1,1,4,16,2,4,2,4,8,5,10,4,1,2,1,2,1,2,4,2,2,4,4,4,8,8,2,2,2,8,1,1,1,2,2,
4,4,4,4,4,1,2,2,2,1],[1,1,5,17,6,1,1,16,4,4,2,2,8,4,5,10,4,1,2,2,1,1,2,4,2,2,
4,4,4,8,8,2,2,2,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,
4,4,4,8,4,1,2,1,1,2,4,4,2,6,2,2,4,4,4,4,4,4,1,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1],[
1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,4,8,4,1,2,1,1,2,4,4,2,6,2,2,4,4,4,4,4,4,1,1,1,
2,2,1,1,2,2,2,2,2,1,1,1,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,4,12,1,2,1,1,2,4,4,
6,6,2,2,4,4,12,1,1,3,2,1,2,1,2,2,2,2,1,1,1,1],[1,1,5,9,2,1,1,4,2,2,8,5,10,4,4,
4,12,1,2,1,1,2,4,4,6,6,2,2,4,4,12,1,1,3,2,1,2,1,2,2,2,2,1,1,1,1],[1,3,3,9,1,1,
9,3,3,9,9,4,4,3,3,9,2,2,2,2,2,2,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,1,8,
21,10,1,1,16,16,4,4,4,2,4,4,1,4,4,4,4,4,4,2,2,1,2,2,4,4,2,2,4,4,2,8,8,4,4,4,8,
8,16,2,2,2,2,2,2,4,4,4,1,1,1,2,1,1,2,2,2,2,2,2,1,2,2,2,2,4,4,4,2,1,4,4,1,2,2,
1,2,2,1,2,2,1],[1,3,3,8,9,1,1,9,3,3,4,9,9,4,4,4,4,4,4,4,3,3,9,2,4,4,4,4,4,4,4,
2,2,2,2,2,2,2,2,2,8,4,4,8,4,1,1,1,2,2,4,4,2,1,1,2,2,2,2,2,2,2,2,1,2,2,2,1,4,4,
2,1,1,1,1,1,1,1,2,2,2,1],[1,1,5,8,17,6,1,1,16,4,4,4,2,2,8,4,5,10,12,12,4,4,4,
4,1,2,2,1,1,2,2,4,2,2,4,4,4,6,6,8,4,8,4,4,8,4,8,2,2,6,2,2,2,2,2,4,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,1,1,2,2,2,2,1,2,2,1],[1,1,5,8,17,6,
1,1,4,16,4,2,4,2,4,8,5,10,12,12,4,4,4,4,1,2,1,2,1,2,2,4,2,2,4,4,4,6,6,8,4,8,4,
4,8,4,8,2,2,6,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,
2,1,1,2,2,2,2,1,2,2,1],[1,2,8,17,2,1,4,16,2,3,2,10,1,4,16,6,8,4,1,2,1,2,1,2,4,
4,1,2,2,2,4,4,4,6,4,4,2,4,4,2,3,1,2,3,2,2,2,2,1,2,1,1,1,2,2,1,2,1,1,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,2,8,17,1,2,16,4,3,2,2,10,1,4,16,6,8,4,2,1,2,1,1,2,4,
4,1,2,2,2,4,4,6,4,4,4,2,4,4,2,3,1,3,2,2,2,2,2,1,2,1,1,1,2,2,1,2,1,1,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,6,8,13,2,3,4,3,2,18,9,4,16,2,4,8,4,1,2,1,6,9,1,2,2,
4,2,4,4,4,8,2,4,6,2,1,1,3,2,2,2,2,2,1,1,1,3,2,2,1,2,1,3,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,6,8,13,2,3,4,2,3,18,9,4,16,2,4,8,4,1,1,2,6,9,1,2,2,4,4,2,4,4,8,2,
4,6,2,1,1,2,3,2,2,2,2,1,1,1,3,2,2,1,2,1,3,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
10,8,9,2,3,3,18,9,6,12,8,6,8,4,1,1,6,9,2,1,6,6,2,4,8,2,4,4,6,3,1,2,3,2,2,2,2,
1,3,1,3,2,3,2,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,8,9,2,3,3,18,6,9,12,8,6,
8,4,1,1,6,9,1,2,6,6,2,4,8,2,4,6,4,3,2,1,3,2,2,2,2,1,3,1,3,2,3,2,1,3,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,6,8,13,1,2,16,3,2,10,6,1,12,8,2,4,8,4,1,2,1,1,2,4,4,1,2,
2,2,2,8,6,4,4,2,4,4,2,4,2,1,2,1,3,2,2,2,2,1,1,1,1,2,2,2,1,2,2,1,1,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,6,8,13,2,1,16,3,2,10,1,6,12,8,2,4,8,4,1,2,1,1,2,4,4,2,1,
2,2,2,8,6,4,4,2,4,4,4,2,2,1,1,2,3,2,2,2,2,1,1,1,1,2,2,2,1,2,2,1,1,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,19,5,4,30,2,4,2,8,1,15,4,4,4,1,2,4,4,1,1,2,2,1,2,2,1,1,
1,1],[1,19,5,30,4,2,4,2,8,1,15,4,4,4,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,15,1,
10,4,2,2,4,12,6,6,8,1,2,1,4,4,4,4,4,4,3,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,15,1,
4,10,2,2,4,12,6,6,8,1,2,1,4,4,4,4,4,4,3,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,15,5,
30,6,6,8,1,15,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,4,15,5,30,6,6,8,1,15,12,3,4,4,1,
3,2,3,2,1,1,1,1],[1,8,11,1,10,2,4,12,6,6,4,2,8,1,2,1,4,4,4,4,4,4,1,2,4,4,1,1,
2,2,2,1,2,1,1,1,1],[1,8,11,1,10,2,4,12,6,6,4,2,8,1,2,1,4,4,4,4,4,4,1,2,4,4,1,
1,2,2,2,1,2,1,1,1,1],[1,1,3,3,1,3,3,4,6,6,4,1,3,3,2,2,12,4,4,3,1,2,2,1,2,1,1,
1,1],[1,3,1,3,1,3,3,6,6,4,4,1,3,3,2,2,12,4,4,3,1,2,2,1,2,1,1,1,1],[1,3,5,4,15,
1,15,6,6,2,1,1,6,6,15,3,3,2,2,2,2,2,6,6,5,1,1,3,3,2,2,6,6,1,2,1,1,1,1,2,2,2,2,
2,2,2,2,4,4,2,2,2,1,1,3,1,2,2,2,2,3,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,
2,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,7,4,15,1,4,6,6,2,1,1,3,10,10,7,7,7,2,2,6,2,2,6,2,1,1,1,1,1,2,2,4,4,2,
2,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,8,1,1,1,11,2,2,2,2,3,2,2,4,4,1,1,
1,1,1,1,1,1,1,1,2,1,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,12,15,1,4,6,6,6,1,1,3,10,10,7,7,7,22,22,2,2,
2,2,6,1,1,1,1,1,2,2,2,2,4,4,2,2,2,2,6,6,2,2,11,1,1,1,1,2,2,2,2,2,2,6,2,2,4,6,
8,8,2,2,8,1,1,3,1,1,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,
1,3,1,1,1,1,2,2,2,4,4,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,5,
12,15,1,15,6,6,6,1,1,6,6,15,3,3,22,22,6,2,2,2,2,5,1,1,3,3,2,2,2,2,6,6,6,6,11,
6,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,2,2,22,1,1,1,11,1,4,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,6,6,1,1,1,1,1,11,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,3,8,3,1,4,3,3,4,4,6,6,4,1,2,4,4,4,3,3,2,12,4,3,1,2,1,2,2,1,1,
1,1],[1,3,1,8,3,1,3,4,3,4,4,4,6,6,1,2,4,4,4,3,3,2,12,4,3,1,2,1,2,2,1,1,1,1],[
1,3,9,27,4,1,27,27,12,36,12,9,1,4,36,36,1,3,3,12,1,3,3,1],[1,1,9,9,4,9,18,12,
12,4,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,12,12,4,9,1,12,1,1,1,1,2,1],[1,1,18,
4,9,9,9,24,4,9,1,12,2,1,1,1,1,1],[1,3,18,1,12,1,9,9,36,6,3,9,4,3,1,3,3,4,9,3,
1,1],[1,3,18,4,9,1,9,9,30,12,3,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,9,9,4,9,6,
12,12,4,9,1,2,12,6,1,1,1,6,1,2,1],[1,1,9,12,9,4,6,9,18,18,12,4,12,4,12,9,1,6,
2,12,12,12,1,1,1,4,6,1,2,2,2,1],[1,12,9,4,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,3,
3,9,1,12,1,9,9,1,3,3,12,3,4,3,1,3,3,4,3,1,1,1],[1,3,6,1,12,1,3,3,4,3,6,3,4,3,
1,3,3,4,1,3,1,1],[1,3,6,1,12,1,3,3,4,3,6,3,4,3,1,3,3,4,1,3,1,1],[1,9,4,9,12,9,
1,1,1,1],[1,1,6,18,4,9,3,3,2,24,4,6,9,1,3,1,1,12,3,2,1,2,3,3,1,1,1,1],[1,3,6,
4,1,3,3,2,12,6,3,1,4,3,1,1,3,3,2,1,3,1,1,1,1],[1,15,5,30,16,15,1,1],[1,15,5,
30,16,15,1,1],[1,3,5,15,1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,3,
7,1,21,1,7,3,1,1,3,1],[1,1,2,7,1,7,14,1,7,1,2,1,1,1,2,1],[1,3,4,1,1,1,3,4,1,
1],[1,3,28,1,1,7,3,4,1,1],[1,1,7,1,7,1,7,1,1,1,1,1],[1,18,9,16,2,3,3,18,18,9,
18,16,3,6,9,18,18,9,8,12,1,9,9,12,3,1,1],[1,18,9,16,2,3,3,18,9,18,18,16,3,6,9,
18,18,9,8,12,1,9,9,12,3,1,1],[1,6,21,16,2,3,12,6,3,18,9,6,12,16,3,6,9,6,6,12,
12,6,3,8,12,1,3,6,3,6,4,8,3,1,1],[1,6,21,16,2,3,12,3,6,18,9,6,12,16,3,6,9,6,6,
12,12,6,3,8,12,1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,3,3,18,9,18,18,16,3,6,9,18,
18,9,8,12,1,9,9,12,3,1,1],[1,6,12,9,16,2,3,3,18,9,18,18,16,3,6,9,18,18,9,8,12,
1,9,9,12,3,1,1],[1,6,12,9,16,2,3,3,18,9,12,6,6,12,16,6,9,3,6,12,6,12,3,6,8,12,
1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,3,3,18,9,12,6,6,12,16,6,9,3,6,12,6,12,3,6,
8,12,1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,3,3,18,9,12,6,6,12,16,6,9,3,6,12,6,
12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,3,3,18,9,12,6,6,12,16,6,9,3,6,
12,6,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,3,3,12,9,16,1,1,9,3,3,6,9,9,6,6,6,6,
6,16,3,3,9,3,6,6,6,6,6,6,3,3,3,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,3,12,9,
16,1,1,9,3,3,6,9,9,6,6,6,6,6,16,3,3,9,3,6,6,6,6,6,6,3,3,3,4,4,12,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,1,9,21,16,2,6,3,3,36,6,12,48,9,30,16,3,2,4,3,3,6,2,12,12,6,
12,18,18,30,24,8,12,1,6,3,6,3,6,6,4,8,8,1,1,1],[1,1,9,21,16,2,6,3,3,36,6,12,
48,9,30,16,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,8,12,1,6,3,6,3,6,6,4,8,8,1,1,
1],[1,3,7,21,16,1,1,21,3,3,36,6,9,36,21,18,16,7,1,3,6,3,9,18,12,4,6,6,8,36,12,
12,12,4,4,12,1,6,3,3,6,12,4,4,4,8,1,1,1],[1,3,7,21,16,1,1,21,3,3,36,6,9,36,21,
18,16,7,1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,4,4,12,1,6,3,3,6,12,4,4,4,8,1,1,
1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,1],[1,3,1,3,16,1,3,3,6,6,16,1,3,
3,12,4,3,4,1,1],[1,6,4,9,16,2,3,3,18,9,6,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,
1],[1,6,4,9,16,2,3,3,18,9,6,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,4,15,16,5,
30,6,6,16,1,15,12,3,20,1,3,3,4,1,1,1],[1,4,15,16,5,30,6,6,16,1,15,12,3,20,1,3,
3,4,1,1,1],[1,10,9,16,2,3,3,18,9,6,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,10,
9,16,2,3,3,18,6,9,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,1,9,20,9,4,10,1,3,9,
9,3,42,42,6,6,4,8,4,4,8,1,3,6,2,6,18,21,3,3,3,3,6,6,12,6,6,3,3,6,6,1,4,4,4,8,
8,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,9,20,9,4,10,3,1,9,3,9,
42,42,6,6,4,8,4,4,8,3,1,2,6,18,6,21,3,3,3,3,6,6,12,6,6,3,3,6,6,1,4,4,4,8,8,1,
3,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,3,9,27,4,1,27,18,6,3,1,6,18,
27,3,9,6,6,4,12,12,9,3,1,3,9,6,2,6,18,3,3,3,3,6,6,6,6,6,6,3,3,12,1,4,12,12,3,
1,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,3,9,27,4,1,27,6,18,1,3,18,6,
27,9,3,6,6,4,12,12,9,1,3,9,3,2,6,18,6,3,3,3,3,6,6,6,6,6,6,3,3,12,1,4,12,12,1,
3,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,3,8,15,4,6,6,4,1,6,3,3,12,
12,6,6,6,8,4,8,1,3,2,6,6,6,6,12,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,
1,1],[1,1,3,8,15,4,6,6,4,1,6,3,3,12,12,6,6,6,8,4,8,1,3,2,6,6,6,6,12,12,3,3,3,
1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,3,12,9,4,1,9,6,6,1,6,9,3,6,6,6,
6,6,8,12,3,1,3,2,6,3,6,6,12,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,3,3,12,9,4,1,9,6,6,1,6,9,3,6,6,6,6,6,8,12,3,1,3,2,6,3,6,6,12,6,6,3,3,3,
1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,12,9,4,2,3,3,18,9,12,6,6,12,8,
12,6,9,3,6,12,6,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,6,12,9,4,2,3,3,
18,9,12,6,6,12,8,12,6,9,3,6,12,6,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,
6,12,9,4,1,1,6,3,12,12,12,6,6,12,8,12,1,3,2,6,3,3,6,6,6,12,6,3,6,1,4,4,4,1,3,
3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,12,9,4,1,1,6,3,12,12,12,6,6,12,8,12,1,3,2,6,
3,3,6,6,6,12,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,3,12,9,4,1,1,
9,3,3,6,9,9,6,6,6,6,6,8,12,3,3,9,3,6,6,6,6,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,
3,4,3,1,1,1,1],[1,3,3,12,9,4,1,1,9,3,3,6,9,9,6,6,6,6,6,8,12,3,3,9,3,6,6,6,6,6,
6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,9,3,10,6,6,4,
4,4,1,3,3,3,3,3,3,3,21,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,9,9,4,3,
1,9,3,9,10,6,6,4,4,4,3,1,3,3,3,3,3,3,21,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,3,3,8,9,4,1,9,6,4,1,6,9,3,12,12,4,12,8,3,1,3,2,2,6,6,6,4,12,6,1,4,4,4,1,
1,1,6,6,1,2,2,4,1,1,1,1,1],[1,3,3,8,9,4,1,9,6,4,1,6,9,3,12,12,4,12,8,3,1,3,2,
2,6,6,6,4,12,6,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,1,3,12,15,4,6,6,6,1,6,
3,3,6,6,4,6,6,8,8,4,1,3,3,6,6,6,6,12,3,6,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,
1,1,1],[1,1,3,12,15,4,6,6,6,1,6,3,3,6,6,4,6,6,8,8,4,1,3,3,6,6,6,6,12,3,6,3,1,
4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,3,4,12,24,1,12,1,4,8,3,6,4,3,4,1,1,
2,1],[1,9,18,4,3,6,27,12,6,12,6,9,18,1,1,2,9,18,1,1,6,3,6,3,1,3,3,1,1,1,1],[1,
1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,30,10,15,15,5,6,20,10,5,12,6,5,10,6,5,1,1],[1,1,30,10,15,15,5,6,
20,10,5,12,6,5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,
1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,
10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
3,7,15,1,21,1,7,3,7,1,2,1,3,1,1,1],[1,3,19,57,1,5,57,15,15,36,180,6,30,45,180,
36,57,90,18,12,12,19,1,15,15,6,30,3,45,45,90,18,12,60,4,60,6,90,6,90,120,8,
180,36,12,180,12,180,12,180,12,12,12,12,24,24,24,24,24,24,6,6,6,6,6,6,24,24,5,
6,10,60,6,30,45,3,3,45,90,6,90,90,180,12,3,3,6,6,12,12,6,6,6,6,12,12,6,6,6,6,
6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,15,1,18,30,3,3,3,3,12,
12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,12,6,6,12,1,6,6,6,6,3,3,1],[1,3,19,57,
1,5,57,15,15,180,36,30,6,45,36,180,57,18,90,12,12,19,15,1,15,30,6,45,3,45,18,
90,60,12,60,4,90,6,90,6,8,120,36,180,180,12,180,12,180,12,12,12,12,12,24,24,
24,24,24,24,6,6,6,6,6,6,24,24,5,6,10,60,30,6,3,45,45,3,6,90,90,90,12,180,3,3,
6,6,12,12,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,1,15,18,30,3,3,3,3,12,12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,12,6,
6,12,1,6,6,6,6,3,3,1],[1,3,15,8,45,1,5,45,15,15,180,4,30,45,180,45,90,12,12,4,
12,12,15,15,15,30,45,45,90,2,60,60,90,90,120,180,180,180,6,180,6,4,12,12,12,
12,12,24,12,12,6,6,6,6,6,12,5,6,10,60,1,30,45,45,90,90,90,180,1,3,3,6,6,6,6,6,
6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,12,12,15,18,30,1,3,3,2,6,6,6,12,6,6,6,6,3,
3,3,6,3,3,1,1,3,3,1,3,3,1],[1,3,15,8,45,1,5,45,15,15,180,4,30,45,180,45,90,12,
12,4,12,12,15,15,15,30,45,45,90,2,60,60,90,90,120,180,180,180,6,180,6,4,12,12,
12,12,12,24,12,12,6,6,6,6,6,12,5,6,10,60,1,30,45,45,90,90,90,180,1,3,3,6,6,6,
6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,12,12,15,18,30,1,3,3,2,6,6,6,12,6,6,6,
6,3,3,3,6,3,3,1,1,3,3,1,3,3,1],[1,3,11,33,1,1,33,3,3,36,36,6,6,9,36,36,33,18,
18,4,4,16,16,11,1,1,3,6,6,3,3,9,18,18,12,12,4,4,6,6,6,6,8,8,36,36,12,12,12,12,
12,12,4,4,4,4,8,8,8,8,8,8,2,2,8,2,2,2,2,8,8,8,8,8,16,1,6,6,3,3,3,3,6,6,12,12,
4,1,1,4,2,2,4,4,4,4,8,4,4,8,8,8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,1,1,1,1,1,1,4,4,4,4,4,4,1,2,4,2,4,4,4,4,4,2,1,1,1,2,1],[1,3,11,33,1,1,33,3,
3,36,36,6,6,9,36,36,33,18,18,4,4,16,16,11,1,1,3,6,6,3,3,9,18,18,12,12,4,4,6,6,
6,6,8,8,36,36,12,12,12,12,12,12,4,4,4,4,8,8,8,8,8,8,2,2,8,2,2,2,2,8,8,8,8,8,
16,1,6,6,3,3,3,3,6,6,12,12,4,1,1,4,2,2,4,4,4,4,8,4,4,8,8,8,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,4,4,4,4,4,4,1,2,4,2,4,4,4,4,4,2,1,1,
1,2,1],[1,3,11,33,1,1,33,3,3,36,36,6,6,9,36,36,33,18,18,4,4,11,1,1,3,6,6,3,3,
9,18,18,12,12,4,4,6,6,6,6,8,8,36,36,12,12,12,12,12,12,4,4,4,4,8,8,8,8,8,8,2,2,
2,2,2,2,8,8,16,1,6,6,3,3,3,3,6,6,12,12,1,1,2,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,4,4,4,4,4,4,1,4,4,4,4,4,4,4,1,2,2,2,
1],[1,3,11,16,33,1,1,33,3,3,36,36,8,6,6,9,36,36,33,18,18,40,40,8,4,4,8,8,11,1,
1,3,6,6,3,3,9,18,18,4,4,12,12,4,4,6,6,6,6,8,8,36,36,12,12,12,12,12,12,12,12,
20,8,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,40,2,2,4,20,2,2,2,2,4,4,4,4,
4,8,8,8,8,8,8,8,1,2,2,6,6,3,3,3,3,6,6,12,12,2,2,2,2,1,1,2,2,2,2,4,4,4,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,20,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,8,8,8,8,8,8,1,1,2,2,1,1,1,
1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,4,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,1,1,2,2,2,2,4,4,4,4,1],[1,3,11,33,1,1,33,
3,3,36,36,6,6,9,36,36,33,18,18,20,20,11,1,1,3,6,6,3,3,9,18,18,12,12,4,4,6,6,6,
6,8,8,36,36,12,12,12,12,12,12,4,4,4,4,8,8,8,8,8,8,10,10,10,10,10,10,40,40,1,6,
6,3,3,3,3,6,6,12,12,5,5,10,10,20,20,4,4,4,4,4,4,4,4,8,8,8,8,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,4,4,4,4,4,4,5,4,4,8,8,4,4,4,4,8,8,1,
1,1,2,2,1],[1,1,9,29,10,5,5,4,60,2,10,10,40,8,9,10,10,4,8,16,1,2,1,10,5,10,10,
2,10,20,20,10,4,30,4,10,20,4,4,16,4,4,4,8,4,2,4,2,2,8,8,8,4,4,8,1,1,5,10,5,10,
1,4,2,3,1,2,4,2,4,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,2,1,2,2,4,2,2,
2,1,1,1,2,2,1],[1,1,9,29,10,5,5,60,4,10,2,10,8,40,9,10,10,4,8,16,1,2,10,1,5,
10,10,10,2,20,20,4,10,30,10,4,20,4,4,4,16,4,4,4,8,2,2,4,2,8,8,8,4,4,8,1,1,5,
10,5,10,1,4,2,3,1,2,4,2,4,4,2,4,2,2,4,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,2,1,2,
2,4,2,2,2,1,1,1,2,2,1],[1,1,9,29,10,5,5,60,4,10,2,10,8,40,9,10,10,4,8,16,1,2,
10,1,5,10,10,10,2,20,20,4,10,30,10,4,20,4,4,4,16,4,4,4,8,2,8,2,4,2,4,4,16,8,1,
1,5,10,5,10,4,1,2,3,1,4,2,4,2,4,2,4,2,2,4,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,2,
2,1,2,4,2,2,2,1,1,1,2,2,1],[1,1,9,29,10,5,5,4,60,2,10,10,40,8,9,10,10,4,8,16,
1,2,1,10,5,10,10,2,10,20,20,10,4,30,4,10,20,4,4,16,4,4,4,8,4,2,8,4,2,2,4,4,16,
8,1,1,5,10,5,10,4,1,2,3,1,4,2,4,2,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,1,
2,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,1,13,16,25,2,6,3,3,36,4,8,6,2,12,8,48,13,10,
30,40,40,8,4,16,8,3,1,2,4,2,3,1,3,6,4,4,2,12,12,2,6,12,4,18,18,30,4,12,12,24,
20,8,8,4,4,4,8,4,4,16,8,8,4,16,16,8,8,16,16,8,2,4,2,4,2,4,8,8,4,8,4,8,8,4,8,8,
1,6,2,2,1,3,6,3,6,6,2,1,4,2,2,4,2,3,2,1,2,6,4,6,2,4,4,4,2,2,2,2,2,4,2,2,8,4,8,
4,4,8,8,4,8,4,4,8,4,4,8,4,8,8,8,8,4,4,8,2,8,8,8,8,8,8,1,1,2,4,2,2,4,1,2,2,1,1,
1,2,6,2,4,2,2,4,1,2,2,1,3,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
13,16,25,2,6,3,3,4,36,8,2,6,12,48,8,13,30,10,40,40,8,4,16,8,1,3,2,2,4,1,3,3,6,
4,4,2,12,2,12,6,12,18,4,18,4,30,12,12,24,20,8,4,8,4,8,4,4,4,8,16,8,4,16,16,8,
8,16,8,16,2,4,2,2,4,8,4,4,8,8,4,8,8,4,8,8,1,6,2,2,3,1,6,3,6,6,2,1,2,4,2,4,2,3,
2,1,2,6,4,6,2,4,4,2,4,2,2,2,2,4,2,2,4,8,4,8,8,4,4,8,4,8,4,8,4,4,8,4,8,8,8,8,4,
4,8,2,8,8,8,8,8,8,1,1,2,2,4,2,4,1,2,2,1,1,1,2,6,2,4,2,2,4,1,2,2,1,3,2,2,2,2,2,
2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,13,25,2,6,3,3,4,36,2,6,12,48,8,13,30,
10,8,8,4,8,16,1,3,2,2,4,1,3,3,6,2,12,2,12,6,12,18,4,18,4,30,24,8,4,8,4,8,4,4,
4,4,2,8,20,2,2,4,4,4,4,4,4,16,8,1,6,3,1,6,3,6,6,2,2,4,2,1,2,2,2,2,4,2,3,6,1,6,
4,2,4,8,4,4,2,8,2,4,4,2,4,2,2,2,2,2,4,4,4,4,4,1,1,2,1,2,1,1,1,2,2,3,4,2,2,2,2,
1,1,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,13,25,2,6,3,3,36,4,6,2,12,8,48,13,10,30,8,8,
4,8,16,3,1,2,4,2,3,1,3,6,2,12,12,2,6,12,4,18,18,30,4,24,8,8,4,4,4,8,4,4,4,2,8,
20,2,4,2,4,4,4,4,4,8,16,1,6,1,3,6,3,6,6,2,2,2,4,1,2,2,2,2,4,2,3,6,1,6,4,2,4,4,
8,4,2,8,2,4,4,4,2,2,2,2,2,2,4,4,4,4,4,1,1,2,1,2,1,1,1,2,2,3,2,4,2,2,2,1,1,4,4,
2,2,1,1,1,1,1,1,1,1],[1,1,9,8,29,2,10,3,3,36,16,4,6,4,12,4,48,9,30,12,12,4,4,
8,20,4,3,2,4,3,2,3,2,6,2,2,4,12,12,6,2,12,18,18,4,30,6,24,6,4,4,12,4,4,12,12,
8,12,12,8,12,8,2,2,6,2,4,2,10,10,10,4,4,4,1,6,1,3,1,6,3,6,6,1,1,1,5,2,2,2,2,1,
3,4,2,2,8,4,2,2,2,4,8,2,2,4,4,2,2,2,2,2,2,6,2,6,6,6,6,6,4,6,4,4,4,4,1,1,3,2,2,
2,2,2,2,2,6,2,2,2,1,2,2,1,4,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,9,8,29,2,10,3,3,
16,36,4,4,6,12,48,4,9,30,12,12,4,4,8,20,4,3,2,4,2,3,3,6,2,2,4,2,12,12,2,6,12,
18,4,18,30,6,24,6,4,4,12,4,4,12,8,12,12,12,8,12,8,2,2,6,4,2,2,10,10,10,4,4,4,
1,6,1,3,1,6,3,6,6,1,1,1,5,2,2,2,2,1,3,2,4,2,8,4,2,2,2,4,8,2,2,4,4,2,2,2,2,2,2,
6,2,6,6,6,6,6,4,6,4,4,4,4,1,1,3,2,2,2,2,2,2,2,6,2,2,2,1,2,2,1,4,2,2,2,4,2,2,1,
1,1,1,1,1,1,1],[1,1,9,8,29,2,10,3,3,16,36,4,4,6,12,48,4,9,30,12,12,4,4,8,4,20,
3,2,4,2,3,3,6,2,2,4,2,12,12,2,6,12,18,4,18,30,6,24,6,4,4,12,4,4,4,8,8,12,4,4,
8,8,16,4,8,2,10,6,4,2,2,2,2,2,4,4,20,1,6,1,3,1,6,3,6,6,1,5,1,1,2,2,2,2,1,8,3,
8,2,2,4,2,2,6,6,2,4,4,2,2,2,2,2,4,2,6,2,2,2,2,2,2,4,4,2,4,4,8,4,8,4,1,1,2,1,2,
2,2,2,2,2,2,4,2,2,2,2,4,3,2,1,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,9,8,29,2,10,3,
3,36,16,4,6,4,12,4,48,9,30,12,12,4,4,8,4,20,3,2,4,3,2,3,2,6,2,2,4,12,12,6,2,
12,18,18,4,30,6,24,6,4,4,12,4,4,4,8,12,8,4,4,8,16,8,4,8,2,10,6,2,4,2,2,2,2,4,
4,20,1,6,1,3,1,6,3,6,6,1,5,1,1,2,2,2,2,1,8,3,8,2,2,4,2,2,6,6,2,4,4,2,2,2,2,4,
2,2,6,2,2,2,2,2,2,4,4,2,4,4,8,4,8,4,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,4,3,2,1,2,
2,2,4,2,2,1,1,1,1,1,1,1,1],[1,3,3,8,9,1,1,9,3,3,4,9,9,4,4,4,12,12,4,4,3,3,9,2,
4,4,4,4,4,4,4,6,6,2,2,6,6,6,6,2,24,4,4,24,4,8,1,3,3,6,6,12,12,2,1,1,2,2,2,2,2,
2,2,2,1,2,2,2,1,4,4,4,4,4,2,3,4,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,3,8,
9,1,1,9,3,3,4,9,9,4,4,4,12,12,4,4,3,3,9,2,4,4,4,4,4,4,4,6,6,2,2,6,6,6,6,2,24,
4,4,24,4,8,1,3,3,6,6,12,12,2,1,1,2,2,2,2,2,2,2,2,1,2,2,2,1,4,4,4,4,4,2,3,4,1,
1,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,7,8,21,1,1,21,3,3,36,4,6,9,36,21,18,
12,12,4,8,8,12,12,7,1,3,6,3,9,18,2,12,4,6,6,8,36,12,12,6,12,6,4,4,4,4,4,4,8,4,
12,4,4,6,6,4,4,4,4,6,6,6,16,16,12,1,1,6,3,3,6,12,1,3,2,2,3,4,4,8,8,2,2,2,2,2,
2,2,6,2,4,2,2,2,2,6,4,4,4,2,6,2,2,2,2,2,2,2,6,4,4,1,1,1,1,2,2,2,2,2,1,1,1,2,4,
2,2,1,3,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,7,8,21,1,1,21,3,3,36,4,6,9,36,21,18,
12,12,4,8,8,12,12,7,1,3,6,3,9,18,2,12,4,6,6,8,36,12,12,6,12,6,4,4,4,4,4,4,8,4,
12,4,4,6,6,4,4,4,4,6,6,6,16,16,12,1,1,6,3,3,6,12,1,3,2,2,3,4,4,8,8,2,2,2,2,2,
2,2,6,2,4,2,2,2,2,6,4,4,4,2,6,2,2,2,2,2,2,2,6,4,4,1,1,1,1,2,2,2,2,2,1,1,1,2,4,
2,2,1,3,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,9,24,9,4,12,9,36,36,18,12,8,12,4,24,
18,36,9,1,12,4,12,24,24,9,1,1,1,8,12,1,2,4,4,4,1,2,4,1],[1,6,9,16,24,2,3,3,18,
9,24,6,9,16,8,2,8,12,12,8,1,6,8,1,1,2,1],[1,6,9,16,24,2,3,3,18,9,24,6,9,16,8,
8,2,12,12,8,1,6,8,1,1,2,1],[1,3,3,9,4,36,1,1,9,3,3,9,9,12,12,3,3,9,16,9,1,4,4,
12,12,4,4,1,3,3,4,4,1,1,1,1,1],[1,3,9,27,4,1,27,27,18,18,12,36,12,9,9,9,36,1,
4,36,36,9,1,3,3,12,1,3,3,2,2,1,1,1,4,1],[1,1,9,9,4,9,12,18,12,12,4,9,18,1,4,
12,12,9,1,1,1,12,1,2,4,1,2,1],[1,1,9,9,4,9,18,12,12,4,9,18,1,12,9,1,1,1,1,2,1,
2,1],[1,3,9,12,27,4,1,27,6,27,18,18,6,12,4,36,12,12,9,9,6,18,9,1,4,6,2,2,36,
36,12,12,6,9,1,3,3,4,12,6,2,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,1,9,12,9,
4,6,9,18,18,6,18,12,4,12,4,12,9,9,9,1,6,2,2,12,12,12,6,9,1,1,1,4,6,6,1,2,2,2,
2,2,1,1,1,1],[1,3,3,24,9,1,12,1,9,12,9,18,18,12,1,40,6,3,3,12,6,3,9,12,18,9,4,
3,1,3,3,3,3,3,12,6,6,3,9,4,4,4,10,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,20,15,5,
30,30,30,16,5,15,60,15,16,1,15,15,5,1,1],[1,20,15,5,30,30,30,16,5,15,60,15,16,
1,15,15,5,1,1],[1,35,5,20,30,10,20,10,16,5,15,20,20,20,5,10,16,1,5,10,5,10,5,
1,1],[1,35,5,30,20,10,20,10,16,5,15,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,1,
5,25,10,5,5,60,10,10,40,5,10,16,10,5,10,10,10,20,20,10,30,10,20,16,1,5,10,5,
10,1,1,1],[1,1,5,25,10,5,5,60,10,10,40,5,10,16,10,5,10,10,10,20,20,10,30,10,
20,16,1,5,10,5,10,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,3,6,4,1,3,3,
4,1,3,1,3,6,4,1,1,3,3,4,3,1,1],[1,3,2,7,1,1,1,21,14,1,1,7,7,7,3,2,1,7,1,1,1,3,
2,1,1,1,1,1],[1,15,10,21,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,3,15,45,64,1,
5,45,15,15,180,30,45,180,45,90,15,15,15,30,45,45,90,60,60,90,90,120,180,180,
180,180,16,80,240,5,6,10,60,30,45,45,90,90,90,180,15,18,30,20,24,40,1,1],[1,3,
15,45,64,1,5,45,15,15,180,30,45,180,45,90,15,15,15,30,45,45,90,60,60,90,90,
120,180,180,180,180,16,80,240,5,6,10,60,30,45,45,90,90,90,180,15,18,30,20,24,
40,1,1],[1,3,15,45,16,1,5,45,15,15,180,30,45,180,45,90,48,15,15,15,30,45,45,
90,60,60,90,90,120,180,180,180,180,8,12,16,5,6,10,60,30,45,45,90,90,90,180,12,
24,24,15,18,30,1,8,12,1,3,1],[1,3,15,45,16,1,5,45,15,15,180,30,45,180,45,90,
48,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,8,12,16,5,6,10,60,30,
45,45,90,90,90,180,12,24,24,15,18,30,1,8,12,1,3,1],[1,3,15,45,16,1,5,45,15,15,
180,30,45,180,45,90,48,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,4,
4,12,16,5,6,10,60,30,45,45,90,90,90,180,12,12,12,24,15,18,30,1,4,12,4,1,3,1],[
1,3,15,45,16,1,5,45,15,15,180,30,45,180,45,90,48,15,15,15,30,45,45,90,60,60,
90,90,120,180,180,180,180,4,4,12,16,5,6,10,60,30,45,45,90,90,90,180,12,12,12,
24,15,18,30,1,4,12,4,1,3,1],[1,1,9,21,16,2,6,3,3,36,6,12,48,9,30,12,24,12,16,
3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,6,18,12,12,12,12,8,12,16,1,6,3,6,3,6,6,3,
3,6,12,6,6,12,6,6,12,12,4,8,8,1,3,6,6,3,1,4,8,3,1,1],[1,1,9,21,16,2,6,3,3,36,
6,12,48,9,30,12,24,12,16,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,6,18,12,12,12,
12,8,12,16,1,6,3,6,3,6,6,3,3,6,12,6,6,12,6,6,12,12,4,8,8,1,3,6,6,3,1,4,8,3,1,
1],[1,3,7,21,16,1,1,21,3,3,36,6,9,36,21,18,24,24,16,7,1,3,6,3,9,18,12,4,6,6,8,
36,12,12,12,12,12,12,12,24,4,4,12,16,1,6,3,3,6,12,6,6,6,6,12,6,6,12,12,12,4,4,
4,8,1,3,6,3,6,1,4,4,4,3,1,1],[1,3,7,21,16,1,1,21,3,3,36,6,9,36,21,18,24,24,16,
7,1,3,6,3,9,18,12,4,6,6,8,36,12,12,12,12,12,12,12,24,4,4,12,16,1,6,3,3,6,12,6,
6,6,6,12,6,6,12,12,12,4,4,4,8,1,3,6,3,6,1,4,4,4,3,1,1],[1,1,9,8,21,16,2,6,3,3,
36,4,6,12,48,9,30,12,12,12,16,32,3,2,4,3,3,6,2,2,12,12,6,12,18,18,30,6,24,6,
12,12,12,12,6,6,6,8,12,16,1,6,1,3,6,3,6,6,3,6,6,6,6,6,6,6,6,4,8,8,8,1,3,2,6,3,
1,4,1,1,2,1],[1,1,9,8,21,16,2,6,3,3,36,4,6,12,48,9,30,12,12,12,16,32,3,2,4,3,
3,6,2,2,12,12,6,12,18,18,30,6,24,6,12,12,12,12,6,6,6,8,12,16,1,6,1,3,6,3,6,6,
3,6,6,6,6,6,6,6,6,4,8,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,1,9,45,16,2,18,3,3,48,36,
12,6,12,48,12,9,30,12,24,32,16,3,2,4,6,3,3,6,6,12,2,12,12,6,6,12,18,12,18,30,
24,12,12,36,12,12,24,36,6,12,6,6,12,12,8,12,16,1,6,3,3,6,3,6,6,3,6,6,3,9,12,6,
6,6,6,6,18,6,12,12,12,12,12,8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,1,
9,45,16,2,18,3,3,36,48,6,12,12,12,48,9,30,12,24,32,16,3,2,4,3,6,3,6,6,2,12,12,
12,6,6,12,18,18,12,30,24,12,12,36,12,12,36,24,6,6,12,6,12,12,8,12,16,1,6,3,3,
6,3,6,6,3,6,6,3,9,12,6,6,6,6,6,18,6,12,12,12,12,12,8,16,4,8,8,1,3,6,6,6,6,6,3,
6,1,4,8,3,2,1,1],[1,1,21,33,16,2,6,3,3,12,36,6,6,12,48,24,21,30,30,24,12,16,
16,16,3,3,2,6,4,3,3,3,6,2,12,6,12,6,12,18,12,18,12,30,24,24,12,24,12,24,12,12,
12,12,6,6,6,12,12,12,8,12,16,1,6,3,3,6,3,6,6,3,6,6,9,3,12,6,6,12,6,6,6,6,6,12,
12,12,12,12,12,4,8,4,8,8,1,3,6,3,6,3,3,3,6,6,3,1,4,8,3,1,1,1,1],[1,1,21,33,16,
2,6,3,3,36,12,6,6,12,24,48,21,30,30,24,12,16,16,16,3,3,2,4,6,3,3,3,6,2,12,12,
6,6,12,12,18,18,30,12,24,24,24,12,12,12,24,12,12,12,6,6,12,6,12,12,8,12,16,1,
6,3,3,6,3,6,6,3,6,6,9,3,12,6,12,6,6,6,6,6,6,12,12,12,12,12,12,4,8,4,8,8,1,3,6,
3,6,3,3,3,6,6,3,1,4,8,3,1,1,1,1],[1,1,9,24,21,16,2,6,3,3,36,12,6,12,48,9,30,
36,36,12,24,32,16,3,2,4,3,3,6,6,2,12,12,6,12,18,18,30,18,24,18,12,24,12,12,24,
48,12,12,6,6,6,24,8,12,16,1,6,3,3,6,3,6,6,6,3,6,6,12,12,12,6,6,6,6,6,12,6,24,
24,8,16,4,8,8,1,6,3,6,12,6,3,6,1,4,8,3,2,1,1],[1,1,9,24,21,16,2,6,3,3,36,12,6,
12,48,9,30,36,36,12,24,32,16,3,2,4,3,3,6,6,2,12,12,6,12,18,18,30,18,24,18,12,
24,12,12,24,48,12,12,6,6,6,24,8,12,16,1,6,3,3,6,3,6,6,6,3,6,6,12,12,12,6,6,6,
6,6,12,6,24,24,8,16,4,8,8,1,6,3,6,12,6,3,6,1,4,8,3,2,1,1],[1,3,7,24,21,16,1,1,
21,3,3,36,12,6,9,36,21,18,36,36,12,12,12,32,16,7,1,3,6,3,9,18,6,12,4,6,6,8,36,
12,12,18,12,18,12,12,12,12,12,12,24,12,36,6,18,6,6,6,12,4,4,12,16,1,3,6,3,3,6,
12,3,3,3,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,18,12,12,8,8,8,4,4,4,8,1,3,3,3,6,6,6,
6,3,3,3,1,4,4,4,3,2,1,1],[1,3,7,24,21,16,1,1,21,3,3,36,12,6,9,36,21,18,36,36,
12,12,12,32,16,7,1,3,6,3,9,18,6,12,4,6,6,8,36,12,12,18,12,18,12,12,12,12,12,
12,24,12,36,6,18,6,6,6,12,4,4,12,16,1,3,6,3,3,6,12,3,3,3,6,6,6,6,6,6,6,18,6,6,
6,6,6,6,6,18,12,12,8,8,8,4,4,4,8,1,3,3,3,6,6,6,6,3,3,3,1,4,4,4,3,2,1,1],[1,1,
9,21,16,2,6,3,3,36,6,12,48,9,30,4,12,16,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,
6,6,12,8,12,16,1,6,3,6,3,6,6,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,1,9,21,16,
2,6,3,3,36,6,12,48,9,30,4,12,16,3,2,4,3,3,6,2,12,12,6,12,18,18,30,24,6,6,12,8,
12,16,1,6,3,6,3,6,6,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,1,3,3,16,1,3,3,12,6,
6,12,16,1,3,3,6,6,12,12,12,4,16,3,3,6,6,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,16,1,3,
3,6,6,12,12,16,1,3,3,6,6,12,12,12,4,16,3,3,6,6,3,6,4,1,3,3,4,3,1,1],[1,6,16,
21,16,2,3,12,6,3,18,9,12,36,6,12,12,12,16,16,16,3,1,6,6,9,3,6,6,12,12,6,12,12,
12,6,12,6,6,3,3,6,3,6,6,6,6,8,12,16,1,3,3,3,6,6,3,6,3,3,6,6,6,6,6,6,6,4,8,4,8,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,16,21,16,2,3,12,3,6,18,9,12,36,6,12,12,12,
16,16,16,3,6,1,6,9,3,6,6,12,6,12,12,12,12,6,12,6,6,3,3,3,6,6,6,6,6,8,12,16,1,
3,3,3,6,6,3,6,3,3,6,6,6,6,6,6,6,4,8,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,
16,9,16,2,3,3,18,9,18,36,12,18,12,12,16,16,16,3,1,6,9,6,3,18,18,6,12,12,6,12,
12,6,9,3,6,3,6,6,6,6,8,12,16,1,9,3,3,6,9,6,3,3,6,6,6,6,6,6,12,4,8,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,18,16,9,16,2,3,3,18,18,9,36,12,18,12,12,16,16,16,3,1,6,
9,3,6,18,18,6,12,12,6,12,6,12,9,6,3,3,6,6,6,6,8,12,16,1,9,3,3,6,9,6,3,3,6,6,6,
6,6,6,12,4,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,24,9,16,2,3,3,18,9,6,36,24,
6,24,12,32,16,1,3,6,9,6,3,6,6,6,12,24,6,12,12,18,3,3,6,9,6,6,6,6,8,12,16,1,3,
3,9,6,3,6,3,9,6,6,6,6,6,6,16,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,24,9,16,2,
3,3,18,6,9,36,24,6,24,12,32,16,1,3,6,9,3,6,6,6,6,12,24,6,12,18,12,3,6,3,9,6,6,
6,6,8,12,16,1,3,3,9,6,3,6,3,9,6,6,6,6,6,6,16,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,3,3,9,16,1,1,9,3,3,9,9,12,12,48,3,3,9,6,6,6,6,6,6,24,24,4,16,1,3,3,6,6,
12,12,12,3,4,4,1,1,1],[1,3,3,9,16,1,1,9,3,3,9,9,12,12,48,3,3,9,6,6,6,6,6,6,24,
24,4,16,1,3,3,6,6,12,12,12,3,4,4,1,1,1],[1,3,1,24,3,16,1,3,12,3,12,12,12,6,6,
32,16,1,6,12,12,12,3,3,6,12,12,4,16,3,3,6,3,6,6,8,4,1,3,3,4,3,1,1],[1,1,3,24,
3,16,1,12,3,3,12,12,6,6,12,32,16,1,6,12,12,12,3,3,6,12,12,4,16,3,3,6,3,6,6,8,
4,1,3,3,4,3,1,1],[1,3,9,20,27,4,1,27,6,18,10,1,3,18,6,27,9,3,42,42,10,6,6,6,6,
4,8,12,12,8,9,1,3,9,3,6,2,2,6,18,6,6,18,21,10,3,3,3,3,6,6,6,6,6,6,6,6,12,12,
12,6,6,42,3,3,3,21,3,12,6,6,1,4,4,4,4,12,12,8,8,4,3,1,1,3,1,3,3,3,3,3,3,3,3,3,
6,3,3,3,3,3,3,18,6,3,3,3,3,3,21,3,6,6,6,6,6,6,6,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,1,4,3,1,1,1,1,1,1,1,1],[1,3,
9,20,27,4,1,27,18,6,10,3,1,6,18,27,3,9,42,42,10,6,6,6,6,4,8,12,12,8,9,3,1,3,9,
2,6,6,2,6,18,18,6,21,10,3,3,3,3,6,6,6,6,6,6,6,6,12,12,12,6,6,42,3,3,3,21,3,12,
6,6,1,4,4,4,4,12,12,8,8,4,1,3,3,1,3,1,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,6,18,3,3,
3,3,3,21,3,6,6,6,6,6,6,6,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,2,2,2,2,1,4,3,1,1,1,1,1,1,1,1],[1,4,15,16,5,30,6,6,24,16,
1,15,12,3,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,4,15,16,5,30,6,6,24,16,
1,15,12,3,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,3,9,27,4,12,24,1,27,27,
12,36,12,36,9,1,4,8,3,6,4,36,36,1,3,3,12,9,12,4,1,3,3,1,2,4,1,3,1,1],[1,3,18,
4,12,24,1,9,9,24,12,6,12,18,9,1,4,8,3,6,4,9,3,3,9,3,6,12,24,6,3,3,9,4,1,1,2,3,
3,4,3,6,3,1,1],[1,3,18,4,12,24,1,9,9,36,6,12,18,9,1,4,8,3,6,4,9,3,3,9,4,3,6,9,
3,9,4,1,1,2,3,3,4,1,3,1,1],[1,3,15,45,10,1,5,45,15,15,45,45,6,10,30,30,15,15,
45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,3,15,45,10,1,45,30,5,30,
45,15,6,10,30,30,15,5,15,10,30,6,18,18,5,10,30,30,5,6,18,18,5,10,10,6,5,1,1,2,
1],[1,3,15,45,10,1,45,30,5,30,45,15,6,10,30,30,15,5,15,10,30,6,18,18,5,10,30,
30,5,6,18,18,5,10,10,6,5,1,1,2,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,15,16,
5,30,16,15,20,16,1,1,1,1],[1,1,15,20,15,10,10,5,15,15,30,30,30,6,10,20,10,10,
20,5,15,30,30,15,6,6,6,5,10,10,10,20,20,15,6,12,10,5,10,6,5,1,1,2,1],[1,1,15,
20,15,10,10,5,15,15,30,30,30,6,10,20,10,10,20,5,15,30,30,15,6,6,6,5,10,10,10,
20,20,15,6,12,10,5,10,6,5,1,1,2,1],[1,1,15,20,15,10,5,10,15,15,30,30,30,6,10,
20,10,10,20,5,15,30,30,15,6,6,6,5,10,10,10,20,20,15,6,12,10,5,10,6,5,1,1,2,
1],[1,1,15,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,
10,6,5,1,1,1],[1,1,15,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,
15,6,12,5,10,6,5,1,1,1],[1,1,15,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,
5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,3,5,15,4,1,15,15,30,30,1,20,5,15,15,1,3,
3,1,20,4,15,1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,3,7,60,1,21,1,28,15,7,3,1,8,4,
1,7,3,4,1,1,2,1],[1,3,27,81,1,9,81,27,27,180,180,30,30,81,180,180,81,90,90,36,
36,27,15,15,27,30,30,45,45,81,90,90,60,60,60,60,90,90,90,90,120,120,180,180,
180,180,180,180,180,180,36,36,36,36,72,72,72,72,72,72,18,18,18,18,18,18,72,72,
9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,90,90,90,90,180,180,9,9,18,18,36,36,
18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,72,72,72,72,72,72,72,72,15,15,18,18,30,30,9,9,9,9,36,36,36,36,36,36,6,6,
6,6,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,9,12,12,36,36,18,18,18,18,
36,36,1,1,3,3,18,18,18,18,18,18,18,18,9,9,9,3,3,9,1],[1,3,11,33,1,1,33,3,3,36,
36,6,6,9,36,36,33,18,18,20,20,32,32,11,1,1,3,6,6,3,3,9,18,18,12,12,4,4,6,6,6,
6,8,8,36,36,12,12,12,12,12,12,4,4,4,4,8,8,8,8,8,8,10,10,16,10,10,10,10,8,8,8,
8,16,40,40,16,16,1,6,6,3,3,3,3,6,6,12,12,4,4,5,5,4,4,10,10,20,20,4,4,4,4,4,4,
4,4,4,4,4,4,8,8,4,4,8,8,4,4,16,8,8,8,8,8,8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,1,1,1,1,1,1,4,4,4,4,4,4,5,4,4,2,2,4,4,8,8,4,4,4,4,2,2,4,4,8,8,4,
4,4,4,4,4,4,4,1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,19,16,57,1,5,57,15,15,
180,36,8,30,6,45,36,180,57,18,90,40,40,8,12,12,24,24,19,15,1,15,30,6,45,3,45,
18,90,4,4,60,12,60,4,90,6,90,6,8,120,36,180,180,12,180,12,12,12,180,12,20,8,
12,12,12,12,24,24,24,24,24,8,24,24,24,24,24,8,24,48,16,24,8,40,6,6,12,20,6,6,
6,6,4,12,12,4,12,24,8,8,24,8,24,8,5,6,10,60,2,2,30,6,3,45,45,3,6,90,90,90,12,
180,2,2,2,6,3,3,6,2,6,6,12,12,4,2,2,4,4,4,6,6,6,12,6,12,12,4,12,4,12,12,4,4,4,
12,12,12,12,12,12,24,24,6,6,6,6,6,6,6,6,2,12,4,12,12,12,12,12,12,12,4,12,4,4,
12,12,4,12,4,12,12,12,12,12,20,12,24,24,24,24,8,24,8,8,8,8,24,24,24,24,8,24,2,
8,8,8,8,8,8,1,15,18,30,2,2,3,3,3,3,6,2,6,2,12,12,12,12,4,12,12,2,2,4,6,6,6,6,
6,6,12,12,4,12,12,12,24,12,4,12,12,4,4,4,12,3,2,4,2,2,4,4,4,4,4,4,2,2,2,6,2,6,
2,6,12,12,6,6,6,6,2,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,6,6,2,6,
2,6,6,6,6,6,1,3,1,1,2,2,2,3,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,1,1,2,2,2,2,2,
1],[1,3,19,16,57,1,5,57,15,15,36,180,8,6,30,45,180,36,57,90,18,40,40,8,12,12,
24,24,19,1,15,15,6,30,3,45,45,90,18,4,4,12,60,4,60,6,90,6,90,120,8,180,36,12,
180,12,180,12,12,12,180,20,8,12,12,12,12,24,24,24,24,8,24,24,24,24,24,24,8,24,
16,48,8,24,40,6,6,12,20,6,6,6,6,12,4,4,12,12,24,8,8,24,24,8,8,5,6,10,60,2,2,6,
30,45,3,3,45,90,6,90,90,180,12,2,2,6,2,3,3,2,6,6,6,12,12,4,2,2,4,4,4,6,6,6,12,
6,12,4,12,4,12,12,12,4,4,12,4,12,12,12,12,12,24,24,6,6,6,6,6,6,6,6,2,4,12,12,
12,12,12,12,12,4,12,4,12,12,4,4,12,4,12,12,12,12,12,12,20,12,24,24,24,8,24,24,
8,8,8,8,24,24,24,8,24,24,2,8,8,8,8,8,8,15,1,18,30,2,2,3,3,3,3,2,6,2,6,12,12,
12,12,4,12,12,2,2,4,6,6,6,6,6,6,12,12,12,4,12,12,24,12,12,4,12,4,4,12,4,3,2,4,
2,2,4,4,4,4,4,4,2,2,2,6,6,2,6,2,12,12,6,6,6,2,6,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,2,6,6,2,6,6,2,6,6,6,6,1,3,1,1,2,2,2,3,1,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,1,2,1,1,2,2,2,2,2,1],[1,3,11,16,33,1,1,33,3,3,36,36,8,6,6,9,36,36,33,
18,18,40,40,8,20,20,8,8,11,1,1,3,6,6,3,3,9,18,18,4,4,12,12,4,4,6,6,6,6,8,8,36,
36,12,12,12,12,12,12,12,12,20,8,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,
40,10,10,4,20,10,10,10,10,4,4,4,4,4,40,8,8,40,8,8,8,16,1,2,2,6,6,3,3,3,3,6,6,
12,12,2,2,2,2,5,5,2,2,10,10,20,20,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,
4,4,4,4,4,8,8,2,2,2,2,2,2,2,2,2,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,20,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,8,8,8,8,8,8,8,8,8,1,1,2,2,1,1,1,1,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,4,4,2,4,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,
8,8,4,4,4,4,2,2,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,1,1,2,2,1,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,3,19,57,1,5,57,15,15,36,180,6,
30,45,180,36,57,90,18,12,12,16,16,19,1,15,15,6,30,3,45,45,90,18,12,60,4,60,6,
90,6,90,120,8,180,36,12,180,12,180,12,180,12,12,12,12,24,24,24,24,24,24,6,6,8,
6,6,6,6,8,8,8,24,24,16,16,5,6,10,60,6,30,45,3,3,45,90,6,90,90,180,12,4,3,3,4,
6,6,12,12,6,6,6,4,6,4,8,4,12,4,8,12,8,8,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,24,24,24,24,24,24,24,24,8,8,8,15,1,18,30,3,3,3,3,12,12,12,12,12,12,2,2,6,6,
6,6,6,6,12,12,3,2,4,12,6,6,2,4,12,4,4,4,4,4,4,4,4,4,4,4,1,2,6,6,6,6,3,1,1,2,3,
2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,19,57,1,5,57,15,15,180,36,30,6,45,36,180,57,
18,90,12,12,16,16,19,15,1,15,30,6,45,3,45,18,90,60,12,60,4,90,6,90,6,8,120,36,
180,180,12,180,12,180,12,12,12,12,12,24,24,24,24,24,24,6,6,8,6,6,6,6,8,8,8,24,
24,16,16,5,6,10,60,30,6,3,45,45,3,6,90,90,90,12,180,4,3,3,4,6,6,12,12,6,6,6,4,
6,4,8,4,12,4,8,12,8,8,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,8,8,8,1,15,18,30,3,3,3,3,12,12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,2,
4,12,6,6,2,4,12,4,4,4,4,4,4,4,4,4,4,4,1,2,6,6,6,6,3,1,1,2,3,2,2,2,4,4,4,4,1,1,
1,2,2,1],[1,3,9,27,4,1,27,27,54,54,12,36,12,9,27,27,108,1,4,36,36,27,1,3,3,12,
9,1,3,3,6,6,1,3,3,12,3,1],[1,3,9,27,4,1,27,27,18,18,12,36,12,9,9,9,36,36,1,4,
36,36,9,18,1,3,3,12,9,1,3,3,2,2,1,1,1,4,4,1,2,1],[1,6,36,9,16,24,2,3,3,18,9,
36,18,18,36,96,48,24,6,9,9,18,36,18,36,9,18,16,8,8,2,12,12,8,24,24,1,9,18,9,
18,16,12,12,24,12,24,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,6,36,9,16,24,2,3,3,18,
9,36,18,18,36,96,48,24,6,9,9,18,36,18,36,9,18,16,8,2,8,12,12,8,24,24,1,9,18,9,
18,16,12,12,12,24,24,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,3,3,36,9,4,36,1,1,9,3,
3,18,9,9,18,18,18,18,18,120,24,12,12,3,3,9,9,18,18,18,18,18,18,9,9,9,16,9,1,4,
4,12,12,4,4,12,12,12,12,1,9,9,9,9,9,9,16,30,12,12,12,12,6,3,3,12,12,9,4,4,1,1,
1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,6,12,9,16,24,2,3,3,18,9,18,18,16,24,48,3,6,9,
18,18,9,16,8,2,8,12,12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,6,12,9,16,24,
2,3,3,18,9,18,18,16,24,48,3,6,9,18,18,9,16,8,8,2,12,12,8,1,9,9,16,12,6,12,3,8,
1,1,2,1,3,1,1],[1,18,9,16,24,2,3,3,18,9,18,18,16,72,3,6,9,18,18,9,16,8,8,2,12,
12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,18,9,16,24,2,3,3,18,18,9,18,16,72,
3,6,9,18,18,9,16,8,2,8,12,12,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,3,9,24,
27,4,1,27,12,27,36,36,12,18,18,12,8,36,12,24,9,18,12,36,36,9,9,18,36,1,4,12,4,
4,36,36,24,24,12,9,9,18,9,18,1,3,3,8,12,12,4,12,12,12,12,9,1,3,3,2,2,4,4,4,4,
12,1,1,1,4,2,2,4,4,4,1,1,1,2,2,1],[1,3,15,45,1,5,45,15,15,180,30,45,180,45,90,
16,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,48,5,6,10,60,30,45,45,
90,90,90,180,16,15,18,30,1,1,3,1],[1,3,15,45,1,5,45,15,15,180,30,45,180,45,90,
16,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,48,5,6,10,60,30,45,45,
90,90,90,180,16,15,18,30,1,1,3,1],[1,1,5,65,30,5,5,60,80,10,20,10,20,40,5,10,
40,20,16,10,10,5,10,10,10,20,10,20,10,20,10,30,20,10,20,20,20,20,60,60,20,40,
10,10,20,10,20,20,32,16,1,5,5,10,5,10,5,10,5,15,10,10,20,10,10,10,30,20,20,20,
20,20,20,16,1,5,10,10,10,10,10,10,5,5,1,2,1,1],[1,1,5,65,30,5,5,80,60,20,10,
10,40,20,5,10,40,20,16,10,10,5,10,10,20,10,10,10,20,20,10,20,30,10,20,20,20,
20,60,60,40,20,10,10,10,20,20,20,32,16,1,5,5,10,5,10,5,10,5,15,10,10,20,10,10,
10,20,30,20,20,20,20,20,16,1,5,10,10,10,10,10,10,5,5,1,2,1,1],[1,1,25,45,10,5,
5,60,20,10,10,10,40,40,25,50,10,20,40,16,5,10,10,5,5,10,10,10,10,20,20,20,10,
30,10,20,20,20,20,20,80,20,20,20,40,10,10,20,10,20,20,16,16,16,1,5,5,10,5,10,
5,10,15,5,10,10,20,10,20,10,10,20,10,20,20,20,20,20,16,1,5,10,5,5,5,5,10,10,5,
10,5,1,1,1,1,1],[1,1,25,45,10,5,5,20,60,10,10,10,40,40,25,10,50,20,40,16,5,10,
5,10,5,10,10,10,10,20,20,10,20,30,20,10,20,20,20,80,20,20,20,40,20,10,20,10,
10,20,20,16,16,16,1,5,5,10,5,10,5,10,15,5,10,10,20,10,20,10,20,10,10,20,20,20,
20,20,16,1,5,10,5,5,5,5,10,10,5,10,5,1,1,1,1,1],[1,20,15,5,30,30,30,40,16,5,
15,60,15,20,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,20,15,5,30,30,30,40,16,5,
15,60,15,20,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,35,5,20,30,10,20,10,40,
16,5,15,20,20,20,5,10,20,20,16,1,5,10,10,5,10,10,16,5,5,5,5,1,1,1],[1,35,5,30,
20,10,20,10,40,16,5,15,20,20,20,5,10,20,20,16,1,5,10,10,5,10,10,16,5,5,5,5,1,
1,1],[1,1,21,21,28,7,7,21,21,21,42,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,
8,7,7,7,7,7,7,8,7,7,1,1],[1,1,42,28,21,21,21,7,7,21,21,56,28,8,7,7,21,21,21,
21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,22,21,28,7,7,63,21,21,28,28,28,
8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,45,40,15,15,45,
36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,30,10,21,5,45,45,6,10,70,30,15,
30,45,10,6,5,5,5,5,15,15,30,6,10,10,10,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,
3,15,24,45,64,1,5,45,15,15,180,12,30,45,180,45,90,36,36,12,36,36,64,15,15,15,
30,45,45,90,6,60,60,90,90,120,180,180,180,18,180,18,12,36,36,36,36,36,72,36,
36,18,18,18,18,18,36,16,80,240,5,6,10,60,3,30,45,45,90,90,90,180,3,9,9,18,18,
18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,18,18,18,18,36,36,16,48,48,15,
18,30,3,9,9,6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,20,24,40,1,3,9,9,3,9,9,4,
12,12,3,1,1],[1,3,15,24,45,64,1,5,45,15,15,180,12,30,45,180,45,90,36,36,12,36,
36,64,15,15,15,30,45,45,90,6,60,60,90,90,120,180,180,180,18,180,18,12,36,36,
36,36,36,72,36,36,18,18,18,18,18,36,16,80,240,5,6,10,60,3,30,45,45,90,90,90,
180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,18,18,18,18,
36,36,16,48,48,15,18,30,3,9,9,6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,20,24,40,
1,3,9,9,3,9,9,4,12,12,3,1,1],[1,3,27,81,16,1,5,81,15,15,180,108,30,18,45,108,
180,81,54,90,36,36,16,48,48,27,15,3,15,30,18,45,9,45,54,90,60,36,60,12,90,18,
90,18,24,120,108,180,180,36,180,36,180,36,36,36,36,36,72,72,72,72,72,72,18,18,
18,18,18,18,72,72,8,12,16,48,48,5,6,10,60,30,18,9,45,45,9,18,90,90,90,36,180,
9,9,18,18,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,72,72,72,72,72,72,72,72,12,12,24,12,24,24,16,3,15,18,30,9,9,9,9,36,36,
36,36,36,36,6,6,18,18,18,18,18,18,36,36,9,36,18,18,36,1,8,12,12,12,24,24,1,18,
18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,3,27,81,16,1,5,81,15,15,108,180,18,30,45,
180,108,81,90,54,36,36,16,48,48,27,3,15,15,18,30,9,45,45,90,54,36,60,12,60,18,
90,18,90,120,24,180,108,36,180,36,180,36,180,36,36,36,36,72,72,72,72,72,72,18,
18,18,18,18,18,72,72,8,12,16,48,48,5,6,10,60,18,30,45,9,9,45,90,18,90,90,180,
36,9,9,18,18,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,72,72,72,72,72,72,72,72,12,12,24,12,24,24,16,15,3,18,30,9,9,9,9,36,
36,36,36,36,36,6,6,18,18,18,18,18,18,36,36,9,36,18,18,36,1,8,12,12,12,24,24,1,
18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,3,19,57,64,1,5,57,15,15,36,180,6,30,45,
180,36,57,90,18,12,12,64,19,1,15,15,6,30,3,45,45,90,18,12,60,4,60,6,90,6,90,
120,8,180,36,12,180,12,180,12,180,12,12,12,12,24,24,24,24,24,24,6,6,6,6,6,6,
24,24,16,80,240,5,6,10,60,6,30,45,3,3,45,90,6,90,90,180,12,3,3,6,6,12,12,6,6,
6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,16,
16,16,32,15,1,18,30,3,3,3,3,12,12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,12,6,6,
12,20,24,40,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,3,19,57,64,1,5,57,15,15,180,36,30,6,
45,36,180,57,18,90,12,12,64,19,15,1,15,30,6,45,3,45,18,90,60,12,60,4,90,6,90,
6,8,120,36,180,180,12,180,12,180,12,12,12,12,12,24,24,24,24,24,24,6,6,6,6,6,6,
24,24,16,80,240,5,6,10,60,30,6,3,45,45,3,6,90,90,90,12,180,3,3,6,6,12,12,6,6,
6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,16,
16,16,32,1,15,18,30,3,3,3,3,12,12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,12,6,6,
12,20,24,40,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,3,15,8,45,16,1,5,45,15,15,180,4,30,
45,180,45,90,12,12,4,12,12,48,32,15,15,15,30,45,45,90,2,60,60,90,90,120,180,
180,180,6,180,6,4,12,12,12,12,12,24,12,12,6,6,6,6,6,12,8,12,16,16,16,5,6,10,
60,1,30,45,45,90,90,90,180,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,
6,12,12,12,24,24,8,16,15,18,30,1,3,3,2,6,6,6,12,6,6,6,6,3,3,3,6,3,3,1,8,4,12,
4,1,1,3,3,1,3,3,3,2,4,1,1,1,1,1],[1,3,15,8,45,16,1,5,45,15,15,180,4,30,45,180,
45,90,12,12,4,12,12,48,32,15,15,15,30,45,45,90,2,60,60,90,90,120,180,180,180,
6,180,6,4,12,12,12,12,12,24,12,12,6,6,6,6,6,12,8,12,16,16,16,5,6,10,60,1,30,
45,45,90,90,90,180,1,3,3,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,12,12,
12,24,24,8,16,15,18,30,1,3,3,2,6,6,6,12,6,6,6,6,3,3,3,6,3,3,1,8,4,12,4,1,1,3,
3,1,3,3,3,2,4,1,1,1,1,1],[1,1,21,33,16,2,6,3,3,12,36,6,6,12,48,24,21,30,30,16,
24,12,24,24,16,16,16,3,3,2,6,4,3,3,3,6,2,12,6,12,6,12,18,12,18,12,30,24,24,12,
24,12,24,12,12,12,12,6,12,48,6,6,12,12,12,12,12,12,24,24,8,12,16,16,16,1,6,3,
3,6,3,6,6,6,4,6,6,3,6,6,6,6,12,6,9,6,3,6,12,6,12,12,12,12,6,12,6,12,12,6,12,6,
6,6,6,6,12,12,12,12,12,12,4,8,4,8,8,16,1,3,6,3,6,3,3,3,6,6,3,6,6,6,6,6,3,3,12,
12,6,6,1,4,8,4,8,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,21,33,16,2,6,3,3,36,
12,6,6,12,24,48,21,30,30,16,24,12,24,24,16,16,16,3,3,2,4,6,3,3,3,6,2,12,12,6,
6,12,12,18,18,30,12,24,24,24,12,12,12,24,12,12,12,6,12,48,6,12,6,12,12,12,12,
12,24,24,8,12,16,16,16,1,6,3,3,6,3,6,6,4,6,6,6,3,6,6,6,6,12,6,9,6,3,6,12,6,12,
12,12,12,6,12,6,12,12,12,6,6,6,6,6,6,12,12,12,12,12,12,4,8,4,8,8,16,1,3,6,3,6,
3,3,3,6,6,3,6,6,6,6,6,3,3,12,12,6,6,1,4,8,4,8,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,1,9,8,45,16,2,18,3,3,36,48,4,6,12,12,12,48,9,30,12,12,12,12,24,36,12,32,
16,32,3,2,4,3,6,3,6,6,2,2,12,12,12,6,6,12,18,18,12,30,6,24,6,12,12,36,12,12,
12,36,24,12,12,24,12,24,6,6,18,6,12,6,18,18,18,12,12,12,8,12,16,16,16,1,6,1,3,
3,6,3,6,6,3,3,3,9,6,6,6,6,3,9,12,6,6,12,12,6,6,6,12,12,6,6,12,12,6,6,6,6,6,6,
18,6,6,6,6,6,6,12,6,12,12,12,12,8,16,4,8,8,8,16,1,3,3,6,2,6,6,6,6,6,6,6,6,6,3,
6,6,3,6,6,6,6,12,6,6,1,4,4,8,4,8,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,9,8,45,
16,2,18,3,3,48,36,4,12,6,12,48,12,9,30,12,12,12,12,24,36,12,32,16,32,3,2,4,6,
3,3,6,6,2,12,2,12,12,6,6,12,18,12,18,30,6,24,6,12,12,36,12,12,12,24,36,12,12,
24,12,24,6,6,18,12,6,6,18,18,18,12,12,12,8,12,16,16,16,1,6,1,3,3,6,3,6,6,3,3,
3,9,6,6,6,6,3,9,6,12,6,12,12,6,6,6,12,12,6,6,12,12,6,6,6,6,6,6,18,6,6,6,6,6,6,
12,6,12,12,12,12,8,16,4,8,8,8,16,1,3,3,6,2,6,6,6,6,6,6,6,6,6,3,6,6,3,6,6,6,6,
12,6,6,1,4,4,8,4,8,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,9,24,45,16,2,18,3,3,
48,36,12,12,6,12,48,12,9,30,36,36,4,12,24,12,36,32,32,16,3,2,4,6,3,3,6,6,6,12,
2,12,12,6,6,12,18,12,18,30,18,24,18,12,12,36,12,12,12,24,24,36,12,12,24,24,48,
12,24,6,18,6,12,6,6,6,6,6,12,12,36,8,12,16,16,16,1,6,3,3,3,6,3,6,6,1,9,3,3,6,
6,6,6,3,12,9,12,6,6,12,6,6,6,6,6,12,12,6,6,6,6,6,12,6,18,6,6,6,6,6,6,12,12,6,
12,12,24,12,24,12,8,16,8,16,4,8,8,16,1,3,6,3,6,6,6,6,6,6,6,12,6,6,6,6,6,3,6,3,
6,6,6,12,6,6,1,4,4,8,8,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,1,9,24,45,16,2,
18,3,3,36,48,12,6,12,12,12,48,9,30,36,36,4,12,24,12,36,32,32,16,3,2,4,3,6,3,6,
6,6,2,12,12,12,6,6,12,18,18,12,30,18,24,18,12,12,36,12,12,12,24,36,24,12,12,
24,48,24,12,24,6,18,6,6,12,6,6,6,6,12,12,36,8,12,16,16,16,1,6,3,3,3,6,3,6,6,1,
9,3,3,6,6,6,6,3,12,9,12,6,6,12,6,6,6,6,6,12,12,6,6,6,6,12,6,6,18,6,6,6,6,6,6,
12,12,6,12,12,24,12,24,12,8,16,8,16,4,8,8,16,1,3,6,3,6,6,6,6,6,6,6,12,6,6,6,6,
6,3,6,3,6,6,6,12,6,6,1,4,4,8,8,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,1,21,32,
33,16,2,6,3,3,12,36,16,6,6,12,48,24,21,30,30,96,96,24,12,24,24,16,32,16,16,32,
3,3,2,6,4,3,3,3,6,8,12,2,12,6,12,6,12,18,12,18,12,30,36,24,24,48,24,12,24,12,
24,12,12,12,24,24,24,12,24,24,24,24,48,24,24,6,12,6,6,12,12,12,12,12,12,12,24,
24,12,24,24,8,12,16,16,16,32,32,1,6,4,6,3,3,6,3,6,6,6,3,6,6,6,12,6,9,6,3,6,6,
12,6,6,12,12,6,12,6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
12,24,24,24,24,12,12,24,6,24,24,24,24,24,24,12,4,8,8,16,4,8,8,8,16,1,3,6,6,6,
6,12,3,2,6,3,3,3,6,6,6,12,6,6,12,3,6,6,3,3,6,6,6,6,6,6,12,12,12,12,1,4,4,4,8,
8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,21,32,33,16,2,6,3,
3,36,12,16,6,6,12,24,48,21,30,30,96,96,24,12,24,24,16,32,16,16,32,3,3,2,4,6,3,
3,3,6,12,8,2,12,12,6,6,12,12,18,18,30,12,24,36,24,48,24,24,12,12,12,24,12,12,
24,24,24,12,24,24,24,24,48,24,24,6,12,6,12,6,12,12,12,12,12,12,24,24,12,24,24,
8,12,16,16,16,32,32,1,6,6,4,3,3,6,3,6,6,6,3,6,6,6,12,6,9,6,3,6,6,12,6,6,12,12,
12,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,24,24,24,
24,12,12,24,6,24,24,24,24,24,24,12,4,8,8,16,4,8,8,8,16,1,3,6,6,6,6,12,3,2,6,3,
3,3,6,6,6,12,6,6,12,3,6,6,3,3,6,6,6,6,6,6,12,12,12,12,1,4,4,4,8,8,8,8,1,3,3,3,
3,3,3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,3,15,24,45,16,1,5,45,15,15,180,12,
30,45,180,45,90,36,36,12,36,36,32,48,15,15,15,30,45,45,90,6,60,60,90,90,120,
180,180,180,18,180,18,12,36,36,36,36,36,72,36,36,18,18,18,18,18,36,8,12,16,16,
16,5,6,10,60,3,30,45,45,90,90,90,180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,
36,18,18,18,18,18,18,18,18,18,18,36,36,8,16,12,24,24,16,15,18,30,3,9,9,6,18,
18,18,36,18,18,18,18,9,9,9,18,9,9,1,8,12,4,8,4,8,1,3,9,9,3,9,9,2,3,4,8,3,1,1,
1,1],[1,3,15,24,45,16,1,5,45,15,15,180,12,30,45,180,45,90,36,36,12,36,36,32,
48,15,15,15,30,45,45,90,6,60,60,90,90,120,180,180,180,18,180,18,12,36,36,36,
36,36,72,36,36,18,18,18,18,18,36,8,12,16,16,16,5,6,10,60,3,30,45,45,90,90,90,
180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,18,18,18,18,
36,36,8,16,12,24,24,16,15,18,30,3,9,9,6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,
1,8,12,4,8,4,8,1,3,9,9,3,9,9,2,3,4,8,3,1,1,1,1],[1,3,15,24,45,16,1,5,45,15,15,
180,12,30,45,180,45,90,36,36,12,36,36,32,48,15,15,15,30,45,45,90,6,60,60,90,
90,120,180,180,180,18,180,18,12,36,36,36,36,36,72,36,36,18,18,18,18,18,36,4,4,
12,16,16,16,5,6,10,60,3,30,45,45,90,90,90,180,3,9,9,18,18,18,18,18,18,18,18,
18,18,36,36,18,18,18,18,18,18,18,18,18,18,36,36,8,8,8,12,12,12,24,16,15,18,30,
3,9,9,6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,1,4,12,4,4,4,4,4,4,4,1,3,9,9,3,9,
9,2,3,4,4,4,3,1,1,1,1],[1,3,15,24,45,16,1,5,45,15,15,180,12,30,45,180,45,90,
36,36,12,36,36,32,48,15,15,15,30,45,45,90,6,60,60,90,90,120,180,180,180,18,
180,18,12,36,36,36,36,36,72,36,36,18,18,18,18,18,36,4,4,12,16,16,16,5,6,10,60,
3,30,45,45,90,90,90,180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,
18,18,18,18,18,18,36,36,8,8,8,12,12,12,24,16,15,18,30,3,9,9,6,18,18,18,36,18,
18,18,18,9,9,9,18,9,9,1,4,12,4,4,4,4,4,4,4,1,3,9,9,3,9,9,2,3,4,4,4,3,1,1,1,
1],[1,3,3,24,9,16,1,1,9,3,3,12,9,9,12,12,12,12,12,12,12,32,48,3,3,9,6,12,12,
12,12,12,12,12,6,6,6,6,6,6,6,6,6,24,12,12,24,12,24,4,16,16,16,1,3,3,6,6,12,12,
6,3,3,6,6,6,6,6,6,6,6,3,6,6,6,3,12,12,12,12,12,8,12,16,6,3,4,3,3,3,3,3,3,6,6,
6,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,3,24,9,16,1,1,9,3,3,12,9,9,12,12,
12,12,12,12,12,32,48,3,3,9,6,12,12,12,12,12,12,12,6,6,6,6,6,6,6,6,6,24,12,12,
24,12,24,4,16,16,16,1,3,3,6,6,12,12,6,3,3,6,6,6,6,6,6,6,6,3,6,6,6,3,12,12,12,
12,12,8,12,16,6,3,4,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,
3,9,36,27,4,12,24,1,27,18,27,54,54,18,12,24,48,12,36,12,36,36,9,27,18,54,27,1,
4,8,3,6,4,18,6,6,36,36,36,36,36,18,27,1,3,4,3,12,12,24,12,6,12,9,12,18,6,18,
18,18,18,4,1,3,3,1,2,6,6,6,12,6,9,18,4,4,4,1,1,3,3,3,3,6,6,6,1,4,3,3,1,1,1,
1],[1,20,15,16,5,30,30,30,16,80,5,15,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,
1],[1,20,15,16,5,30,30,30,16,80,5,15,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,
1],[1,3,15,20,45,10,1,45,30,10,5,30,45,15,30,30,10,30,30,6,10,20,30,30,20,15,
5,15,10,30,15,10,30,60,30,30,15,15,15,6,18,18,5,10,10,10,10,30,30,20,20,10,5,
15,15,15,15,15,15,6,18,18,12,12,10,5,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,
10,1,6,5,1,2,2,1,1,1,1],[1,3,15,20,45,10,1,45,30,10,5,30,45,15,30,30,10,30,30,
6,10,20,30,30,20,15,5,15,10,30,15,10,30,60,30,30,15,15,15,6,18,18,5,10,10,10,
10,30,30,20,20,10,5,15,15,15,15,15,15,6,18,18,12,12,10,5,10,10,10,10,10,10,10,
10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,3,15,20,45,10,1,5,45,15,15,10,45,
45,30,30,10,30,30,6,10,20,30,30,20,15,15,45,15,10,30,30,30,30,30,15,15,15,6,
18,18,5,10,10,10,10,30,30,20,20,10,5,15,15,15,15,15,15,6,18,18,12,12,10,15,10,
10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,6,7,60,1,3,3,4,21,
42,1,3,28,15,7,21,21,3,6,28,1,8,4,1,21,1,3,3,7,3,6,4,3,4,7,1,3,1,2,3,4,1,3,1,
1],[1,3,27,16,81,1,9,81,27,27,180,180,8,30,30,81,180,180,81,90,90,40,40,8,36,
36,40,40,27,15,15,27,30,30,45,45,81,90,90,4,4,60,60,60,60,90,90,90,90,120,120,
180,180,180,180,180,180,12,12,180,180,20,8,36,36,36,36,72,72,72,72,24,24,40,
72,72,40,40,8,40,48,48,24,24,40,18,18,20,20,18,18,18,18,12,12,12,12,20,72,8,8,
72,24,24,8,16,9,6,6,10,10,60,60,2,2,30,30,45,45,45,45,90,90,90,90,90,90,180,
180,2,2,6,6,9,9,6,6,18,18,36,36,4,2,2,4,4,4,18,18,18,18,18,18,12,12,18,18,12,
12,12,12,12,12,12,12,36,36,4,4,12,12,20,12,12,20,20,36,36,24,24,24,24,18,18,
18,18,18,18,18,18,2,12,12,12,12,36,36,36,36,12,12,12,12,12,12,12,12,12,12,20,
36,36,36,20,20,36,72,72,72,24,24,72,8,8,8,8,72,72,72,24,24,72,2,8,8,8,8,8,8,8,
8,8,15,15,18,18,30,30,2,2,9,9,9,9,6,6,6,6,36,36,36,36,4,36,36,6,6,6,6,4,4,18,
18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,12,12,12,12,12,12,24,24,12,12,12,
12,20,4,4,12,12,9,12,12,2,4,2,2,4,4,4,4,4,4,2,2,2,6,6,6,6,6,6,12,12,36,36,18,
18,18,18,6,6,6,6,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,3,3,2,2,6,6,6,6,2,2,6,6,6,6,18,18,18,18,18,18,18,18,1,9,
1,1,1,1,2,2,2,2,2,2,9,9,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,3,3,2,2,1,1,1,1,9,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,15,45,16,96,1,5,45,15,15,180,30,45,180,45,90,48,96,15,15,15,30,45,
45,90,60,60,90,90,120,180,180,180,180,64,24,8,80,8,12,240,24,16,32,5,6,10,60,
30,45,45,90,90,90,180,12,24,24,24,24,24,48,15,18,30,16,32,1,20,2,24,40,8,24,8,
8,12,1,3,6,4,8,1,1,2,1],[1,3,15,45,16,96,1,5,45,15,15,180,30,45,180,45,90,48,
96,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,180,64,24,8,8,80,12,24,
240,16,32,5,6,10,60,30,45,45,90,90,90,180,12,24,24,24,24,24,48,15,18,30,16,32,
1,2,20,24,40,8,24,8,8,12,1,3,6,4,8,1,1,2,1],[1,18,48,9,16,24,2,3,3,18,18,9,
108,36,18,36,36,16,112,48,72,48,3,3,6,9,9,18,18,18,18,36,36,18,36,18,36,9,18,
9,9,18,18,18,18,16,8,2,8,12,12,8,24,72,48,1,9,9,9,18,9,18,9,9,18,18,18,18,18,
18,16,16,16,12,12,24,12,24,24,6,12,12,24,3,3,9,9,9,9,9,8,16,1,1,2,6,12,12,6,9,
8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,18,48,9,16,24,2,3,3,18,9,18,108,36,18,36,36,
16,112,48,72,48,3,3,6,9,18,9,18,18,18,36,36,18,36,36,18,9,9,18,9,18,18,18,18,
16,8,8,2,12,12,8,24,72,48,1,9,9,9,18,9,18,9,9,18,18,18,18,18,18,16,16,16,12,
12,24,24,12,24,6,12,12,24,3,3,9,9,9,9,9,8,16,1,1,2,6,12,12,6,9,8,1,1,3,3,3,3,
6,1,3,3,1,1,1,1],[1,3,9,24,27,4,1,27,12,27,36,36,12,54,54,12,8,36,12,24,9,18,
12,36,36,27,27,18,108,36,1,4,12,4,4,36,36,24,24,12,27,9,18,9,18,18,1,3,3,8,12,
12,4,12,12,12,12,9,9,9,1,3,3,6,6,4,4,4,4,12,9,1,3,3,12,2,2,4,4,4,4,1,3,1,2,2,
2,1,1,1,1],[1,3,35,105,1,5,105,15,15,180,180,30,30,45,180,180,105,90,90,60,60,
16,35,15,5,15,30,30,45,15,45,90,90,60,60,60,20,90,30,90,30,40,120,180,180,180,
60,180,60,180,60,60,60,60,60,120,120,120,120,120,120,30,30,30,30,30,30,120,
120,16,48,48,5,6,10,60,30,30,15,45,45,15,30,90,90,90,60,180,15,15,30,30,60,60,
30,30,30,30,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,
120,120,120,120,120,16,48,48,5,15,18,30,15,15,15,15,60,60,60,60,60,60,10,10,
30,30,30,30,30,30,60,60,15,60,30,30,60,16,1,30,30,30,30,15,15,1,5,1,3,3,1,3,3,
1],[1,3,35,105,1,5,105,15,15,180,180,30,30,45,180,180,105,90,90,60,60,16,35,5,
15,15,30,30,15,45,45,90,90,60,60,20,60,30,90,30,90,120,40,180,180,60,180,60,
180,60,180,60,60,60,60,120,120,120,120,120,120,30,30,30,30,30,30,120,120,16,
48,48,5,6,10,60,30,30,45,15,15,45,90,30,90,90,180,60,15,15,30,30,60,60,30,30,
30,30,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,120,
120,120,120,120,16,48,48,15,5,18,30,15,15,15,15,60,60,60,60,60,60,10,10,30,30,
30,30,30,30,60,60,15,60,30,30,60,16,1,30,30,30,30,15,15,1,5,1,3,3,1,3,3,1],[1,
1,25,45,10,5,5,20,60,10,10,10,40,40,25,10,50,20,40,80,16,5,10,5,10,5,10,10,10,
10,20,20,10,20,30,20,10,20,20,20,80,20,20,20,40,20,10,40,20,10,10,20,20,80,40,
16,16,16,1,5,5,10,5,10,20,5,10,15,5,20,10,20,10,20,10,20,10,20,10,10,20,20,20,
20,20,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,5,5,5,10,10,
1,5,1,1,1,1,2,1],[1,1,25,45,10,5,5,60,20,10,10,10,40,40,25,50,10,20,40,80,16,
5,10,10,5,5,10,10,10,10,20,20,20,10,30,10,20,20,20,20,20,80,20,20,20,40,10,40,
10,20,10,20,20,80,40,16,16,16,1,5,5,10,5,10,20,5,10,15,5,20,10,20,10,20,10,20,
10,10,20,10,20,20,20,20,20,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,
10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,1,25,45,10,5,5,20,60,10,10,10,40,40,
25,10,50,20,40,80,16,5,10,5,10,5,10,10,10,10,20,20,10,20,30,20,10,20,20,20,80,
20,20,20,40,20,10,20,10,10,40,40,40,20,20,40,16,16,16,1,5,5,10,5,10,5,20,10,
15,5,10,20,10,20,20,10,20,10,20,10,10,20,20,20,20,20,20,20,20,16,32,1,5,10,5,
5,5,5,10,10,5,10,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,1,25,45,10,
5,5,60,20,10,10,10,40,40,25,50,10,20,40,80,16,5,10,10,5,5,10,10,10,10,20,20,
20,10,30,10,20,20,20,20,20,80,20,20,20,40,10,10,20,10,40,40,40,20,20,40,16,16,
16,1,5,5,10,5,10,5,20,10,15,5,10,20,10,20,20,10,20,10,10,20,10,20,20,20,20,20,
20,20,20,16,32,1,5,10,5,5,5,5,10,10,5,10,10,20,10,10,10,16,5,5,5,10,10,1,5,1,
1,1,1,2,1],[1,1,21,44,21,28,22,7,7,21,21,21,126,126,42,42,28,56,28,28,56,8,7,
7,14,14,42,42,63,21,21,21,21,42,42,84,42,42,21,21,42,42,7,7,28,28,28,56,56,8,
16,7,7,21,21,21,21,21,42,42,42,42,8,7,7,7,7,14,14,7,7,14,14,28,8,21,8,16,7,7,
7,7,7,7,14,14,14,14,8,7,7,1,1,2,1],[1,3,21,63,28,1,63,42,42,7,7,42,42,63,21,
21,42,42,28,84,84,8,21,7,7,21,21,14,14,42,42,21,21,21,21,42,42,42,42,42,42,21,
21,84,7,7,28,84,84,24,7,7,21,21,21,21,21,42,42,42,42,8,7,7,7,7,14,14,7,7,14,
14,28,8,21,24,7,7,7,7,7,7,14,14,14,14,8,7,7,1,1,2,1],[1,1,21,21,28,7,7,21,21,
21,22,42,42,28,28,28,8,7,7,21,21,21,21,21,21,63,7,7,28,28,28,8,7,7,21,21,21,
21,21,8,7,7,7,7,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1,1],[1,1,45,45,40,15,15,45,
45,45,90,36,120,120,40,15,15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,
36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,1,90,40,45,45,45,15,15,45,
45,36,240,40,15,15,45,45,45,45,45,10,72,36,15,15,120,45,20,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,30,45,40,15,15,135,45,45,36,40,120,
120,15,15,45,45,45,45,45,10,36,15,15,120,45,10,40,36,15,15,15,15,15,15,10,20,
15,15,6,6,10,6,6,1,1],[1,3,15,45,10,84,1,5,45,15,15,45,45,6,10,30,30,60,15,15,
45,40,6,18,18,21,5,20,20,60,60,10,20,30,30,24,5,40,6,18,18,15,15,10,24,10,20,
6,5,5,5,5,1,6,10,3,6,5,4,1,1],[1,3,27,81,64,1,9,81,27,27,180,180,30,30,81,180,
180,81,90,90,36,36,192,27,15,15,27,30,30,45,45,81,90,90,60,60,60,60,90,90,90,
90,120,120,180,180,180,180,180,180,180,180,36,36,36,36,72,72,72,72,72,72,18,
18,18,18,18,18,72,72,16,80,240,64,9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,
90,90,90,90,180,180,9,9,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,18,18,
18,18,18,18,18,18,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,48,48,48,96,
15,15,18,18,30,30,9,9,9,9,36,36,36,36,36,36,6,6,6,6,18,18,18,18,18,18,18,18,
18,18,18,18,36,36,36,36,9,12,12,36,36,18,18,18,18,36,36,20,24,40,16,48,16,1,1,
3,3,18,18,18,18,18,18,18,18,9,9,9,12,24,24,3,3,9,1,4,1,3,1],[1,3,27,81,64,1,9,
81,27,27,180,180,30,30,81,180,180,81,90,90,36,36,192,27,15,15,27,30,30,45,45,
81,90,90,60,60,60,60,90,90,90,90,120,120,180,180,180,180,180,180,180,180,36,
36,36,36,72,72,72,72,72,72,18,18,18,18,18,18,72,72,16,80,240,64,9,6,6,10,10,
60,60,30,30,45,45,45,45,90,90,90,90,90,90,180,180,9,9,18,18,36,36,18,18,18,18,
18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,72,72,
72,72,72,72,72,72,48,48,48,96,15,15,18,18,30,30,9,9,9,9,36,36,36,36,36,36,6,6,
6,6,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,9,12,12,36,36,18,18,18,18,
36,36,20,24,40,16,48,16,1,1,3,3,18,18,18,18,18,18,18,18,9,9,9,12,24,24,3,3,9,
1,4,1,3,1],[1,3,27,81,64,1,9,81,27,27,180,180,30,30,81,180,180,81,90,90,36,36,
192,27,15,15,27,30,30,45,45,81,90,90,60,60,60,60,90,90,90,90,120,120,180,180,
180,180,180,180,180,180,36,36,36,36,72,72,72,72,72,72,18,18,18,18,18,18,72,72,
16,16,16,48,48,64,9,6,6,10,10,60,60,30,30,45,45,45,45,90,90,90,90,90,90,180,
180,9,9,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,48,48,48,48,48,96,96,15,15,
18,18,30,30,9,9,9,9,36,36,36,36,36,36,6,6,6,6,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,9,12,12,36,36,18,18,18,18,36,36,4,4,16,16,48,48,16,1,1,3,3,
18,18,18,18,18,18,18,18,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,3,27,81,64,1,9,81,
27,27,180,180,30,30,81,180,180,81,90,90,36,36,192,27,15,15,27,30,30,45,45,81,
90,90,60,60,60,60,90,90,90,90,120,120,180,180,180,180,180,180,180,180,36,36,
36,36,72,72,72,72,72,72,18,18,18,18,18,18,72,72,48,48,48,64,9,6,6,10,10,60,60,
30,30,45,45,45,45,90,90,90,90,90,90,180,180,9,9,18,18,36,36,18,18,18,18,18,18,
18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,72,72,72,72,
72,72,72,72,48,48,96,96,144,15,15,18,18,30,30,9,9,9,9,36,36,36,36,36,36,6,6,6,
6,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,9,12,12,36,36,18,18,18,18,
36,36,4,4,48,48,48,1,1,3,3,18,18,18,18,18,18,18,18,9,9,9,12,12,12,3,3,9,4,4,
12,1,1],[1,3,19,57,64,1,5,57,15,15,180,36,30,6,45,36,180,57,18,90,12,12,48,48,
64,19,15,1,15,30,6,45,3,45,18,90,60,12,60,4,90,6,90,6,8,120,36,180,180,12,180,
12,180,12,12,12,12,12,24,24,24,24,24,24,6,6,24,6,6,6,6,24,24,24,24,24,48,48,
16,80,240,64,5,6,10,60,30,6,3,45,45,3,6,90,90,90,12,180,12,3,3,12,6,6,12,12,6,
6,6,12,6,12,24,12,12,12,24,12,24,24,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,24,24,24,16,16,16,32,1,15,18,30,3,3,3,3,12,12,12,12,
12,12,2,2,6,6,6,6,6,6,12,12,3,6,12,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
12,12,20,24,40,16,16,16,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,
6,1,4,8,3,1,1],[1,3,19,57,64,1,5,57,15,15,36,180,6,30,45,180,36,57,90,18,12,
12,48,48,64,19,1,15,15,6,30,3,45,45,90,18,12,60,4,60,6,90,6,90,120,8,180,36,
12,180,12,180,12,180,12,12,12,12,24,24,24,24,24,24,6,6,24,6,6,6,6,24,24,24,24,
24,48,48,16,80,240,64,5,6,10,60,6,30,45,3,3,45,90,6,90,90,180,12,12,3,3,12,6,
6,12,12,6,6,6,12,6,12,24,12,12,12,24,12,24,24,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,24,24,24,24,24,24,24,24,24,24,24,16,16,16,32,15,1,18,30,3,3,3,3,12,
12,12,12,12,12,2,2,6,6,6,6,6,6,12,12,3,6,12,12,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,20,24,40,16,16,16,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,12,12,12,4,8,
8,1,3,3,6,6,1,4,8,3,1,1],[1,3,19,48,57,64,1,5,57,15,15,36,180,24,6,30,45,180,
36,57,90,18,120,120,24,12,12,72,72,128,64,19,1,15,15,6,30,3,45,45,90,18,12,12,
12,60,4,60,6,90,6,90,120,8,180,36,12,180,12,180,36,36,12,180,60,24,12,12,12,
12,24,24,24,24,24,72,72,24,24,72,72,24,72,48,144,24,72,120,6,6,36,60,6,6,6,6,
36,12,12,36,36,24,24,24,24,72,24,24,16,80,240,64,5,6,10,60,6,6,6,30,45,3,3,45,
90,6,90,90,180,12,6,6,18,6,3,3,6,18,6,6,12,12,12,6,6,12,12,12,6,6,6,36,6,36,
12,36,12,36,36,12,12,12,36,12,36,36,36,36,12,72,72,6,6,6,6,6,6,6,6,6,12,36,36,
36,12,12,12,12,12,36,12,36,36,12,12,36,12,36,36,12,12,12,36,60,12,24,24,24,24,
72,24,24,24,24,24,24,24,24,24,72,24,6,24,24,24,24,24,24,32,96,96,16,16,16,32,
15,1,18,30,6,6,3,3,3,3,6,18,6,18,12,12,12,12,12,12,12,2,2,12,6,6,6,6,6,6,12,
12,36,12,36,36,72,36,36,12,36,12,12,36,12,3,6,12,6,6,12,12,12,12,12,12,6,6,6,
18,18,6,18,6,36,12,6,6,18,6,18,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,20,24,40,16,16,16,1,6,18,18,6,18,18,6,6,6,6,6,3,3,3,3,6,
6,6,3,3,6,6,6,6,6,6,12,12,12,12,12,12,12,12,8,24,24,4,8,8,1,6,3,3,6,6,6,6,6,1,
4,8,3,2,1,1],[1,3,19,48,57,64,1,5,57,15,15,180,36,24,30,6,45,36,180,57,18,90,
120,120,24,12,12,72,72,128,64,19,15,1,15,30,6,45,3,45,18,90,12,12,60,12,60,4,
90,6,90,6,8,120,36,180,180,12,180,12,36,36,180,12,60,24,12,12,12,12,24,24,24,
24,72,24,72,24,24,72,72,24,72,144,48,72,24,120,6,6,36,60,6,6,6,6,12,36,36,12,
36,24,24,24,24,24,72,24,16,80,240,64,5,6,10,60,6,6,30,6,3,45,45,3,6,90,90,90,
12,180,6,6,6,18,3,3,18,6,6,6,12,12,12,6,6,12,12,12,6,6,6,36,6,36,36,12,36,12,
36,12,12,12,12,36,36,36,36,36,12,72,72,6,6,6,6,6,6,6,6,6,36,12,36,36,12,12,12,
12,36,12,36,12,12,36,36,12,36,12,36,12,12,12,36,60,12,24,24,24,72,24,24,24,24,
24,24,24,24,24,72,24,24,6,24,24,24,24,24,24,32,96,96,16,16,16,32,1,15,18,30,6,
6,3,3,3,3,18,6,18,6,12,12,12,12,12,12,12,2,2,12,6,6,6,6,6,6,12,12,12,36,36,36,
72,36,12,36,36,12,12,12,36,3,6,12,6,6,12,12,12,12,12,12,6,6,6,18,6,18,6,18,36,
12,6,6,18,18,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,20,24,40,16,16,16,1,6,18,18,6,18,6,18,6,6,6,6,3,3,3,3,6,6,6,3,3,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,8,24,24,4,8,8,1,6,3,3,6,6,6,6,6,1,4,8,3,2,1,1],[1,3,
27,32,81,16,1,5,81,15,15,108,180,16,18,30,45,180,108,81,90,54,96,96,16,36,36,
48,48,16,32,48,48,32,27,3,15,15,18,30,9,45,45,90,54,8,12,36,60,12,60,18,90,18,
90,120,24,180,108,36,180,36,180,36,24,36,180,48,16,36,36,36,36,72,72,72,72,24,
48,48,72,72,48,48,24,48,48,96,24,48,96,18,18,24,48,18,18,18,18,24,12,12,24,24,
72,24,24,72,48,24,24,8,12,16,16,16,16,48,48,32,32,16,5,6,10,60,4,6,18,30,45,9,
9,45,90,18,90,90,180,36,6,4,12,6,9,9,6,12,18,18,36,36,12,6,6,12,12,12,18,18,
18,24,18,24,12,24,12,24,24,36,12,12,24,12,24,24,24,24,36,48,48,18,18,18,18,18,
18,18,18,6,12,24,24,36,36,36,36,36,12,24,12,24,24,12,12,24,12,24,24,36,36,36,
24,48,36,72,72,72,24,48,72,24,24,24,24,72,72,72,24,48,72,6,24,24,24,24,24,24,
12,12,24,8,16,12,24,24,8,16,16,16,16,16,16,16,15,3,18,30,6,4,9,9,9,9,6,12,6,
12,36,36,36,36,12,36,36,6,6,8,18,18,18,18,18,18,36,36,24,12,24,24,48,24,24,12,
24,12,12,24,12,9,6,12,6,6,12,12,12,12,12,12,6,6,6,12,12,6,12,6,24,36,18,18,12,
6,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,8,4,
12,4,8,12,12,4,24,8,8,8,24,4,16,1,4,12,12,4,12,12,6,18,18,18,18,3,9,3,3,6,6,6,
9,3,6,6,6,6,6,6,12,12,12,12,12,12,12,12,1,3,2,3,2,4,12,4,4,8,4,4,4,3,4,3,3,6,
6,6,6,6,1,1,1,3,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,27,32,81,16,1,5,81,15,15,
180,108,16,30,18,45,108,180,81,54,90,96,96,16,36,36,48,48,16,32,48,48,32,27,
15,3,15,30,18,45,9,45,54,90,12,8,60,36,60,12,90,18,90,18,24,120,108,180,180,
36,180,36,24,36,180,36,48,16,36,36,36,36,72,72,72,72,48,24,48,72,72,48,48,24,
48,96,48,48,24,96,18,18,24,48,18,18,18,18,12,24,24,12,24,72,24,24,72,24,48,24,
8,12,16,16,16,16,48,48,32,32,16,5,6,10,60,6,4,30,18,9,45,45,9,18,90,90,90,36,
180,4,6,6,12,9,9,12,6,18,18,36,36,12,6,6,12,12,12,18,18,18,24,18,24,24,12,24,
12,24,36,12,12,12,24,24,24,24,24,36,48,48,18,18,18,18,18,18,18,18,6,24,12,36,
24,36,36,36,36,24,12,24,12,12,24,24,12,24,12,24,36,36,36,24,48,36,72,72,72,48,
24,72,24,24,24,24,72,72,72,48,24,72,6,24,24,24,24,24,24,12,12,24,8,16,12,24,
24,8,16,16,16,16,16,16,16,3,15,18,30,4,6,9,9,9,9,12,6,12,6,36,36,36,36,12,36,
36,6,6,8,18,18,18,18,18,18,36,36,12,24,24,24,48,24,12,24,24,12,12,12,24,9,6,
12,6,6,12,12,12,12,12,12,6,6,6,12,6,12,6,12,24,36,18,18,12,12,6,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,8,4,12,4,8,12,12,4,24,
8,8,8,24,4,16,1,4,12,12,4,12,6,12,18,18,18,18,3,9,3,3,6,6,6,9,3,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,1,3,2,3,2,4,12,4,4,8,4,4,4,3,4,3,3,6,6,6,6,6,1,1,1,3,
3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,9,27,4,48,96,1,27,27,54,54,12,36,12,144,9,
27,27,108,1,16,32,12,24,4,36,36,27,1,3,3,48,36,12,16,9,1,3,3,4,8,6,6,16,1,3,3,
12,12,9,4,3,4,1,1],[1,3,15,45,64,1,5,45,15,15,180,30,45,180,45,90,16,15,15,15,
30,45,45,90,60,60,90,90,120,180,180,180,180,48,16,80,240,64,5,6,10,60,30,45,
45,90,90,90,180,16,15,18,30,20,24,40,16,1,1,3,1,4,1,1],[1,3,15,45,64,1,5,45,
15,15,180,30,45,180,45,90,16,15,15,15,30,45,45,90,60,60,90,90,120,180,180,180,
180,48,16,80,240,64,5,6,10,60,30,45,45,90,90,90,180,16,15,18,30,20,24,40,16,1,
1,3,1,4,1,1],[1,20,15,16,5,30,30,30,120,16,80,5,15,60,15,60,60,16,20,80,16,1,
15,30,15,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,20,15,16,5,30,30,
30,120,16,80,5,15,60,15,60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,15,1,20,
16,15,1,5,1,5,1,3,1,1],[1,3,27,81,16,96,1,5,81,15,15,180,108,30,18,45,108,180,
81,54,90,36,36,16,48,48,288,27,15,3,15,30,18,45,9,45,54,90,60,36,60,12,90,18,
90,18,24,120,108,180,180,36,180,36,180,36,36,36,36,36,72,72,72,72,72,72,18,18,
18,18,18,18,72,72,64,24,8,8,80,12,24,240,16,32,48,48,5,6,10,60,30,18,9,45,45,
9,18,90,90,90,36,180,9,9,18,18,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,64,12,12,24,12,48,24,72,24,
24,48,24,96,48,16,3,15,18,30,9,9,9,9,36,36,36,36,36,36,6,6,18,18,18,18,18,18,
36,36,9,36,18,18,36,16,32,1,2,20,24,40,8,24,8,8,12,12,12,24,24,1,18,18,18,18,
9,9,16,1,3,3,12,6,24,24,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,3,27,81,16,96,1,5,81,
15,15,108,180,18,30,45,180,108,81,90,54,36,36,16,48,48,288,27,3,15,15,18,30,9,
45,45,90,54,36,60,12,60,18,90,18,90,120,24,180,108,36,180,36,180,36,180,36,36,
36,36,72,72,72,72,72,72,18,18,18,18,18,18,72,72,64,24,8,80,8,12,240,24,16,32,
48,48,5,6,10,60,18,30,45,9,9,45,90,18,90,90,180,36,9,9,18,18,36,36,18,18,18,
18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,
72,64,12,12,24,12,24,48,72,24,24,24,48,48,96,16,15,3,18,30,9,9,9,9,36,36,36,
36,36,36,6,6,18,18,18,18,18,18,36,36,9,36,18,18,36,16,32,1,20,2,24,40,8,24,8,
8,12,12,12,24,24,1,18,18,18,18,9,9,16,1,3,3,6,12,24,24,12,3,4,8,1,1,2,3,3,4,1,
3,1,1],[1,3,15,24,45,16,96,1,5,45,15,15,180,12,30,45,180,45,90,36,36,12,36,36,
64,48,96,96,15,15,15,30,45,45,90,6,60,60,90,90,120,180,180,180,18,180,18,12,
36,36,36,36,36,72,36,36,18,18,18,18,18,36,64,24,8,80,8,12,240,24,16,32,48,48,
5,6,10,60,3,30,45,45,90,90,90,180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,
18,18,18,18,18,18,18,18,18,18,36,36,64,16,48,48,12,24,24,24,24,24,24,48,48,15,
18,30,3,9,9,6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,16,32,1,20,2,24,40,8,24,8,
8,12,12,12,1,3,9,9,3,9,9,16,4,12,12,3,6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,3,
15,24,45,16,96,1,5,45,15,15,180,12,30,45,180,45,90,36,36,12,36,36,64,48,96,96,
15,15,15,30,45,45,90,6,60,60,90,90,120,180,180,180,18,180,18,12,36,36,36,36,
36,72,36,36,18,18,18,18,18,36,64,24,8,8,80,12,24,240,16,32,48,48,5,6,10,60,3,
30,45,45,90,90,90,180,3,9,9,18,18,18,18,18,18,18,18,18,18,36,36,18,18,18,18,
18,18,18,18,18,18,36,36,64,16,48,48,12,24,24,24,24,24,24,48,48,15,18,30,3,9,9,
6,18,18,18,36,18,18,18,18,9,9,9,18,9,9,16,32,1,2,20,24,40,8,24,8,8,12,12,12,1,
3,9,9,3,9,9,16,4,12,12,3,6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,3,15,72,45,16,
96,1,5,45,15,15,180,36,30,45,180,45,90,108,108,36,108,108,384,96,48,96,15,15,
15,30,45,45,90,18,60,60,90,90,120,180,180,180,54,180,54,36,108,108,108,108,
108,216,108,108,54,54,54,54,54,108,64,24,8,8,80,12,24,240,16,32,48,96,48,96,5,
6,10,60,9,30,45,45,90,90,90,180,9,27,27,54,54,54,54,54,54,54,54,54,54,108,108,
54,54,54,54,54,54,54,54,54,54,108,108,64,96,24,48,144,48,144,48,12,24,24,24,
24,24,48,48,96,15,18,30,9,27,27,18,54,54,54,108,54,54,54,54,27,27,27,54,27,27,
16,32,1,2,20,24,40,8,24,8,8,12,12,24,24,24,24,12,24,24,24,24,1,9,27,27,9,27,
27,16,32,12,6,36,36,12,3,6,12,24,24,24,24,9,4,8,1,1,2,3,6,3,6,4,8,3,3,6,1,1],[
1,3,15,72,45,16,96,1,5,45,15,15,180,36,30,45,180,45,90,108,108,36,108,108,384,
96,48,96,15,15,15,30,45,45,90,18,60,60,90,90,120,180,180,180,54,180,54,36,108,
108,108,108,108,216,108,108,54,54,54,54,54,108,64,24,8,80,8,12,240,24,16,32,
48,96,48,96,5,6,10,60,9,30,45,45,90,90,90,180,9,27,27,54,54,54,54,54,54,54,54,
54,54,108,108,54,54,54,54,54,54,54,54,54,54,108,108,64,96,24,144,48,144,48,48,
12,24,24,24,24,24,48,48,96,15,18,30,9,27,27,18,54,54,54,108,54,54,54,54,27,27,
27,54,27,27,16,32,1,20,2,24,40,8,24,8,8,12,12,24,24,24,24,12,24,24,24,24,1,9,
27,27,9,27,27,16,32,12,6,36,12,36,3,6,12,24,24,24,24,9,4,8,1,1,2,3,6,3,6,4,8,
3,3,6,1,1],[1,3,35,105,1,5,105,15,15,180,180,30,30,45,180,180,105,90,90,60,60,
80,80,16,35,5,15,15,30,30,15,45,45,90,90,60,60,20,60,30,90,30,90,120,40,180,
180,60,180,60,180,60,180,60,60,60,60,120,120,120,120,120,120,30,30,40,30,30,
30,30,40,40,40,120,120,80,80,16,48,48,5,6,10,60,30,30,45,15,15,45,90,30,90,90,
180,60,20,15,15,20,30,30,60,60,30,30,30,20,30,20,40,20,60,20,40,60,40,40,30,
30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,
40,40,40,16,48,48,32,32,15,5,18,30,15,15,15,15,60,60,60,60,60,60,10,10,30,30,
30,30,30,30,60,60,15,10,20,60,30,30,10,20,60,20,20,20,20,20,20,20,20,20,20,20,
16,16,16,1,10,30,30,30,30,15,5,5,10,15,10,10,10,20,20,20,20,1,16,5,5,5,10,10,
1,3,3,5,1,3,3,2,2,1,1,1,1],[1,3,35,105,1,5,105,15,15,180,180,30,30,45,180,180,
105,90,90,60,60,80,80,16,35,15,5,15,30,30,45,15,45,90,90,60,60,60,20,90,30,90,
30,40,120,180,180,180,60,180,60,180,60,60,60,60,60,120,120,120,120,120,120,30,
30,40,30,30,30,30,40,40,40,120,120,80,80,16,48,48,5,6,10,60,30,30,15,45,45,15,
30,90,90,90,60,180,20,15,15,20,30,30,60,60,30,30,30,20,30,20,40,20,60,20,40,
60,40,40,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,120,120,
120,120,120,40,40,40,16,48,48,32,32,5,15,18,30,15,15,15,15,60,60,60,60,60,60,
10,10,30,30,30,30,30,30,60,60,15,10,20,60,30,30,10,20,60,20,20,20,20,20,20,20,
20,20,20,20,16,16,16,1,10,30,30,30,30,15,5,5,10,15,10,10,10,20,20,20,20,1,16,
5,5,5,10,10,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,3,21,44,63,28,1,63,42,42,22,7,7,42,
42,63,21,21,126,126,22,42,42,42,42,28,56,84,84,56,8,21,7,7,21,21,14,14,14,14,
42,42,42,42,63,22,21,21,21,21,42,42,42,42,42,42,42,42,84,84,84,42,42,126,21,
21,21,63,21,84,42,42,7,7,28,28,28,28,84,84,56,56,28,24,16,7,7,7,7,7,7,21,21,
21,21,21,21,21,21,42,21,21,21,21,21,21,42,42,21,21,21,21,21,63,21,42,42,42,42,
42,42,42,42,8,7,7,7,7,14,14,14,14,7,7,14,14,14,14,28,28,28,28,28,28,28,8,8,8,
7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,24,16,7,7,7,7,7,7,7,7,7,7,7,7,14,
14,14,14,14,14,14,14,7,7,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,1,8,7,7,1,
2,2,1,1,1,1],[1,1,45,60,45,40,30,15,15,45,45,45,270,270,90,90,36,120,80,120,
40,240,15,15,30,30,90,90,135,45,45,45,45,90,90,180,90,90,45,45,90,90,10,36,36,
36,15,15,120,40,120,240,240,15,15,45,45,45,45,45,90,90,90,90,10,10,10,80,36,
72,15,15,15,15,30,30,15,15,30,30,120,45,10,20,40,40,40,36,15,15,15,15,15,15,
30,30,30,30,6,6,10,20,40,15,15,6,6,12,12,10,6,6,1,1,2,1],[1,1,45,45,40,15,15,
45,45,45,30,90,90,36,120,120,40,15,15,45,45,45,45,45,45,135,10,36,36,36,15,15,
40,120,120,15,15,45,45,45,45,45,10,10,10,36,72,15,15,15,15,15,15,120,45,10,20,
40,36,15,15,15,15,15,15,6,6,10,20,15,15,6,6,10,6,6,1,1,1],[1,3,45,135,40,1,
135,90,90,15,15,90,90,135,45,45,90,90,36,120,360,120,45,15,15,45,45,30,30,90,
90,45,45,45,45,90,90,90,90,90,90,45,45,180,10,36,108,108,15,15,40,360,360,15,
15,45,45,45,45,45,90,90,90,90,10,30,30,36,108,108,15,15,15,15,30,30,15,15,30,
30,120,45,10,30,30,20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,40,15,
15,6,6,12,12,10,6,6,1,1,2,1],[1,3,15,60,45,10,84,1,5,45,15,15,30,45,45,90,90,
30,90,90,6,10,280,60,30,30,60,60,15,15,45,45,30,90,90,90,90,90,45,45,45,40,6,
18,18,21,5,20,20,60,60,10,20,30,30,60,30,30,30,60,60,60,30,24,5,45,45,45,45,
45,45,40,40,40,6,18,18,36,36,70,60,60,60,60,30,15,15,10,30,30,30,60,30,30,30,
24,45,10,20,40,6,18,18,5,5,5,5,15,15,15,15,30,1,6,24,10,20,10,10,18,15,15,15,
15,3,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,3,27,48,81,64,1,9,81,27,27,180,180,24,
30,30,81,180,180,81,90,90,120,120,24,36,36,120,120,128,192,27,15,15,27,30,30,
45,45,81,90,90,12,12,60,60,60,60,90,90,90,90,120,120,180,180,180,180,180,180,
36,36,180,180,60,24,36,36,36,36,72,72,72,72,72,72,120,72,72,120,120,24,120,
144,144,72,72,120,18,18,60,60,18,18,18,18,36,36,36,36,60,72,24,24,72,72,72,24,
48,16,80,240,64,64,64,9,6,6,10,10,60,60,6,6,30,30,45,45,45,45,90,90,90,90,90,
90,180,180,6,6,18,18,9,9,18,18,18,18,36,36,12,6,6,12,12,12,18,18,18,18,18,18,
36,36,18,18,36,36,36,36,36,36,36,36,36,36,12,12,36,36,60,36,36,60,60,36,36,72,
72,72,72,18,18,18,18,18,18,18,18,6,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,60,36,36,36,60,60,36,72,72,72,72,72,72,24,24,24,24,72,72,72,72,72,
72,6,24,24,24,24,24,24,24,24,24,32,96,96,48,48,48,96,64,15,15,18,18,30,30,6,6,
9,9,9,9,18,18,18,18,36,36,36,36,12,36,36,6,6,6,6,12,12,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,36,60,12,12,36,36,
9,12,12,6,12,6,6,12,12,12,12,12,12,6,6,6,18,18,18,18,18,18,36,36,36,36,18,18,
18,18,18,18,18,18,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,20,24,40,16,48,16,16,16,
16,16,16,16,1,1,3,3,6,6,18,18,18,18,6,6,18,18,18,18,18,18,18,18,18,18,18,18,3,
9,3,3,3,3,6,6,6,6,6,6,9,9,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,24,24,12,24,24,16,16,16,3,3,6,
6,3,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,
1,1,1,1],[1,3,27,48,81,64,1,9,81,27,27,180,180,24,30,30,81,180,180,81,90,90,
120,120,24,36,36,120,120,128,192,27,15,15,27,30,30,45,45,81,90,90,12,12,60,60,
60,60,90,90,90,90,120,120,180,180,180,180,180,180,36,36,180,180,60,24,36,36,
36,36,72,72,72,72,72,72,120,72,72,120,120,24,120,144,144,72,72,120,18,18,60,
60,18,18,18,18,36,36,36,36,60,72,24,24,72,72,72,24,48,16,80,240,64,64,64,9,6,
6,10,10,60,60,6,6,30,30,45,45,45,45,90,90,90,90,90,90,180,180,6,6,18,18,9,9,
18,18,18,18,36,36,12,6,6,12,12,12,18,18,18,18,18,18,36,36,18,18,36,36,36,36,
36,36,36,36,36,36,12,12,36,36,60,36,36,60,60,36,36,72,72,72,72,18,18,18,18,18,
18,18,18,6,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,60,36,36,36,
60,60,36,72,72,72,72,72,72,24,24,24,24,72,72,72,72,72,72,6,24,24,24,24,24,24,
24,24,24,32,96,96,48,48,48,96,64,15,15,18,18,30,30,6,6,9,9,9,9,18,18,18,18,36,
36,36,36,12,36,36,6,6,6,6,12,12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,72,72,36,36,36,36,60,12,12,36,36,9,12,12,6,12,6,6,12,12,
12,12,12,12,6,6,6,18,18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,
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,
12,12,12,12,12,12,12,12,12,12,20,24,40,16,48,16,16,16,16,16,16,16,1,1,3,3,6,6,
18,18,18,18,6,6,18,18,18,18,18,18,18,18,18,18,18,18,3,9,3,3,3,3,6,6,6,6,6,6,9,
9,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,8,24,24,12,24,24,16,16,16,3,3,6,6,3,3,3,3,9,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,27,48,81,
64,1,9,81,27,27,180,180,24,30,30,81,180,180,81,90,90,120,120,24,36,36,120,120,
128,192,27,15,15,27,30,30,45,45,81,90,90,12,12,60,60,60,60,90,90,90,90,120,
120,180,180,180,180,180,180,36,36,180,180,60,24,36,36,36,36,72,72,72,72,72,72,
120,72,72,120,120,24,120,144,144,72,72,120,18,18,60,60,18,18,18,18,36,36,36,
36,60,72,24,24,72,72,72,24,48,48,48,48,64,64,64,9,6,6,10,10,60,60,6,6,30,30,
45,45,45,45,90,90,90,90,90,90,180,180,6,6,18,18,9,9,18,18,18,18,36,36,12,6,6,
12,12,12,18,18,18,18,18,18,36,36,18,18,36,36,36,36,36,36,36,36,36,36,12,12,36,
36,60,36,36,60,60,36,36,72,72,72,72,18,18,18,18,18,18,18,18,6,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,60,36,36,36,60,60,36,72,72,72,72,72,72,
24,24,24,24,72,72,72,72,72,72,6,24,24,24,24,24,24,24,24,24,32,32,96,48,48,96,
96,144,64,15,15,18,18,30,30,6,6,9,9,9,9,18,18,18,18,36,36,36,36,12,36,36,6,6,
6,6,12,12,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,
72,72,36,36,36,36,60,12,12,36,36,9,12,12,6,12,6,6,12,12,12,12,12,12,6,6,6,18,
18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,12,12,12,12,12,12,12,
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,
12,12,12,4,4,48,48,48,16,16,48,16,16,48,1,1,3,3,6,6,18,18,18,18,6,6,18,18,18,
18,18,18,18,18,18,18,18,18,3,9,3,3,3,3,6,6,6,6,6,6,9,9,3,6,6,6,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,8,
12,12,12,16,16,48,3,3,6,6,3,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,
4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,27,48,81,64,1,9,81,27,27,180,180,24,
30,30,81,180,180,81,90,90,120,120,24,36,36,120,120,128,192,27,15,15,27,30,30,
45,45,81,90,90,12,12,60,60,60,60,90,90,90,90,120,120,180,180,180,180,180,180,
36,36,180,180,60,24,36,36,36,36,72,72,72,72,72,72,120,72,72,120,120,24,120,
144,144,72,72,120,18,18,60,60,18,18,18,18,36,36,36,36,60,72,24,24,72,72,72,24,
48,16,16,16,48,48,64,64,64,9,6,6,10,10,60,60,6,6,30,30,45,45,45,45,90,90,90,
90,90,90,180,180,6,6,18,18,9,9,18,18,18,18,36,36,12,6,6,12,12,12,18,18,18,18,
18,18,36,36,18,18,36,36,36,36,36,36,36,36,36,36,12,12,36,36,60,36,36,60,60,36,
36,72,72,72,72,18,18,18,18,18,18,18,18,6,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,60,36,36,36,60,60,36,72,72,72,72,72,72,24,24,24,24,72,72,72,
72,72,72,6,24,24,24,24,24,24,24,24,24,32,32,32,32,32,48,48,48,48,48,96,96,64,
15,15,18,18,30,30,6,6,9,9,9,9,18,18,18,18,36,36,36,36,12,36,36,6,6,6,6,12,12,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,36,36,
36,36,60,12,12,36,36,9,12,12,6,12,6,6,12,12,12,12,12,12,6,6,6,18,18,18,18,18,
18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,
4,16,16,48,48,16,16,16,16,16,16,16,16,16,16,16,1,1,3,3,6,6,18,18,18,18,6,6,18,
18,18,18,18,18,18,18,18,18,18,18,3,9,3,3,3,3,6,6,6,6,6,6,9,9,3,6,6,6,6,6,6,6,
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,
12,8,8,12,12,12,16,16,16,16,16,3,3,6,6,3,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,9,72,27,4,48,96,1,27,
36,27,108,108,36,54,54,12,96,192,24,36,12,144,72,9,54,36,108,108,27,27,54,108,
108,1,16,32,12,24,4,36,12,12,36,36,144,72,72,36,27,27,54,27,54,54,1,3,16,3,24,
48,96,48,24,48,36,12,36,12,36,36,36,36,16,9,27,27,1,3,3,4,8,6,6,12,12,12,48,
12,36,36,16,16,16,27,1,3,3,12,4,6,6,12,12,12,24,12,12,12,9,4,16,3,3,3,6,6,6,
12,9,4,4,4,1,3,3,4,3,1,1],[1,3,35,105,64,1,5,105,15,15,180,180,30,30,45,180,
180,105,90,90,60,60,16,320,35,15,5,15,30,30,45,15,45,90,90,60,60,60,20,90,30,
90,30,40,120,180,180,180,60,180,60,180,60,60,60,60,60,120,120,120,120,120,120,
30,30,30,30,30,30,120,120,16,48,48,16,80,240,64,5,6,10,60,30,30,15,45,45,15,
30,90,90,90,60,180,15,15,30,30,60,60,30,30,30,30,60,60,30,30,30,30,30,30,30,
30,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,16,48,48,80,80,80,
160,64,5,15,18,30,15,15,15,15,60,60,60,60,60,60,10,10,30,30,30,30,30,30,60,60,
15,60,30,30,60,16,20,24,40,16,1,30,30,30,30,15,15,1,20,40,40,16,5,1,3,3,1,4,1,
3,3,5,4,1,1,1],[1,3,35,105,64,1,5,105,15,15,180,180,30,30,45,180,180,105,90,
90,60,60,16,320,35,5,15,15,30,30,15,45,45,90,90,60,60,20,60,30,90,30,90,120,
40,180,180,60,180,60,180,60,180,60,60,60,60,120,120,120,120,120,120,30,30,30,
30,30,30,120,120,16,48,48,16,80,240,64,5,6,10,60,30,30,45,15,15,45,90,30,90,
90,180,60,15,15,30,30,60,60,30,30,30,30,60,60,30,30,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,120,120,120,120,120,120,120,120,16,48,48,80,80,80,160,64,15,
5,18,30,15,15,15,15,60,60,60,60,60,60,10,10,30,30,30,30,30,30,60,60,15,60,30,
30,60,16,20,24,40,16,1,30,30,30,30,15,15,1,20,40,40,16,5,1,3,3,1,4,1,3,3,5,4,
1,1,1],[1,3,27,81,64,192,1,9,81,27,27,180,180,30,30,81,180,180,81,90,90,36,36,
192,576,27,15,15,27,30,30,45,45,81,90,90,60,60,60,60,90,90,90,90,120,120,180,
180,180,180,180,180,180,180,36,36,36,36,72,72,72,72,72,72,18,18,18,18,18,18,
72,72,256,48,48,96,96,48,48,288,288,64,192,9,6,6,10,10,60,60,30,30,45,45,45,
45,90,90,90,90,90,90,180,180,9,9,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,
36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,48,
48,96,96,144,96,96,144,96,96,192,192,15,15,18,18,30,30,9,9,9,9,36,36,36,36,36,
36,6,6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,9,12,12,36,36,18,
18,18,18,36,36,64,192,4,4,24,24,24,24,40,40,32,32,96,96,48,48,48,48,1,1,3,3,
18,18,18,18,18,18,18,18,9,9,9,12,12,24,24,12,12,24,24,24,24,3,3,9,16,16,48,1,
1,4,4,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,3,27,96,81,16,96,1,5,81,15,15,180,108,
48,30,18,45,108,180,81,54,90,288,288,48,36,36,144,144,16,448,96,48,48,288,96,
27,15,3,15,30,18,45,9,45,54,90,36,24,60,36,60,12,90,18,90,18,24,120,108,180,
180,36,180,36,72,108,180,36,144,48,36,36,36,36,72,72,72,72,144,72,144,72,72,
144,144,72,144,288,144,144,72,288,18,18,72,144,18,18,18,18,36,72,72,36,72,72,
72,72,72,72,144,72,64,24,8,8,80,12,24,240,16,32,48,48,96,48,48,48,288,96,96,
48,5,6,10,60,18,12,30,18,9,45,45,9,18,90,90,90,36,180,12,18,18,36,9,9,36,18,
18,18,36,36,36,18,18,36,36,36,18,18,18,72,18,72,72,36,72,36,72,36,36,36,36,72,
72,72,72,72,36,144,144,18,18,18,18,18,18,18,18,18,72,36,108,72,36,36,36,36,72,
36,72,36,36,72,72,36,72,36,72,36,36,36,72,144,36,72,72,72,144,72,72,72,72,72,
72,72,72,72,144,72,72,18,72,72,72,72,72,72,64,64,64,112,12,12,24,24,48,192,48,
192,48,12,48,24,72,24,24,48,24,24,96,48,16,48,48,48,96,48,48,48,3,15,18,30,12,
18,9,9,9,9,36,18,36,18,36,36,36,36,36,36,36,6,6,24,18,18,18,18,18,18,36,36,36,
72,72,72,144,72,36,72,72,36,36,36,72,9,18,36,18,18,36,36,36,36,36,36,18,18,18,
36,18,36,18,36,72,36,18,18,36,36,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,16,32,64,1,2,20,24,40,8,24,8,8,12,12,12,24,24,24,24,
12,12,12,24,24,72,24,48,24,48,24,24,24,12,48,1,12,36,36,12,36,18,36,18,18,18,
18,9,9,9,9,18,18,18,9,9,18,18,18,18,18,18,36,36,36,36,36,36,36,36,16,32,16,16,
1,3,16,6,48,48,12,3,12,6,6,24,24,12,12,12,12,24,24,24,24,12,12,12,3,12,9,9,18,
18,18,18,18,4,8,16,1,1,2,3,6,3,3,3,3,12,6,3,6,6,24,12,9,4,8,4,4,4,1,3,3,3,3,3,
3,3,6,1,4,3,3,1,1,1,1],[1,3,27,96,81,16,96,1,5,81,15,15,108,180,48,18,30,45,
180,108,81,90,54,288,288,48,36,36,144,144,16,448,96,48,48,288,96,27,3,15,15,
18,30,9,45,45,90,54,24,36,36,60,12,60,18,90,18,90,120,24,180,108,36,180,36,
180,108,72,36,180,144,48,36,36,36,36,72,72,72,72,72,144,144,72,72,144,144,72,
144,144,288,72,144,288,18,18,72,144,18,18,18,18,72,36,36,72,72,72,72,72,72,
144,72,72,64,24,8,80,8,12,240,24,16,32,48,48,96,48,48,48,288,96,96,48,5,6,10,
60,12,18,18,30,45,9,9,45,90,18,90,90,180,36,18,12,36,18,9,9,18,36,18,18,36,36,
36,18,18,36,36,36,18,18,18,72,18,72,36,72,36,72,72,36,36,36,72,36,72,72,72,72,
36,144,144,18,18,18,18,18,18,18,18,18,36,72,72,108,36,36,36,36,36,72,36,72,72,
36,36,72,36,72,72,36,36,36,72,144,36,72,72,72,72,144,72,72,72,72,72,72,72,72,
72,144,72,18,72,72,72,72,72,72,64,64,64,112,12,12,24,24,192,48,192,48,48,12,
24,48,72,24,24,24,48,24,48,96,16,48,48,48,96,48,48,48,15,3,18,30,18,12,9,9,9,
9,18,36,18,36,36,36,36,36,36,36,36,6,6,24,18,18,18,18,18,18,36,36,72,36,72,72,
144,72,72,36,72,36,36,72,36,9,18,36,18,18,36,36,36,36,36,36,18,18,18,36,36,18,
36,18,72,36,18,18,36,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,16,32,64,1,20,2,24,40,8,24,8,8,12,12,12,24,24,24,24,12,12,12,
24,24,72,24,24,48,24,48,24,24,12,48,1,12,36,36,12,36,36,18,18,18,18,18,9,9,9,
9,18,18,18,9,9,18,18,18,18,18,18,36,36,36,36,36,36,36,36,16,32,16,16,1,3,16,6,
48,12,48,3,6,12,6,24,24,12,12,12,12,24,24,24,24,12,12,12,3,12,9,9,18,18,18,18,
18,4,8,16,1,1,2,3,6,3,3,3,3,6,12,3,6,6,24,12,9,4,8,4,4,4,1,3,3,3,3,3,3,3,6,1,
4,3,3,1,1,1,1],[1,3,45,60,135,40,1,135,90,90,30,15,15,90,90,135,45,45,270,270,
30,90,90,90,90,36,120,80,360,120,240,45,15,15,45,45,30,30,30,30,90,90,90,90,
135,30,45,45,45,45,90,90,90,90,90,90,90,90,180,180,180,90,90,270,45,45,45,135,
45,180,90,90,10,36,108,108,15,15,40,120,40,40,360,360,240,240,120,15,15,15,15,
15,15,45,45,45,45,45,45,45,45,90,45,45,45,45,45,45,90,90,45,45,45,45,45,135,
45,90,90,90,90,90,90,90,90,10,30,30,80,36,108,108,72,72,15,15,15,15,30,30,30,
30,15,15,30,30,30,30,120,120,40,120,120,120,120,15,15,45,45,45,45,45,45,45,45,
45,45,45,45,45,10,30,30,20,20,40,40,40,40,36,36,36,15,15,15,15,15,15,15,15,15,
15,15,15,30,30,30,30,30,30,30,30,15,15,120,6,6,45,10,10,10,40,20,20,40,40,40,
36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,12,12,12,12,10,10,10,20,20,
15,15,6,6,6,6,6,6,10,1,6,6,1,2,2,1,1,1,1],[1,3,75,225,160,1,25,225,75,75,180,
900,30,150,225,900,180,225,450,90,180,180,96,160,480,480,75,15,75,75,30,150,
45,225,225,450,90,60,300,60,300,90,450,90,450,600,120,900,180,180,900,180,900,
180,900,180,180,180,180,360,360,360,360,360,360,90,90,90,90,90,90,360,360,96,
288,288,160,120,240,160,480,480,25,30,6,10,50,300,60,30,150,225,45,45,225,450,
90,450,90,450,90,900,180,45,45,90,90,180,180,90,90,90,90,90,90,90,90,180,180,
180,180,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,360,360,360,
360,360,360,360,360,96,288,288,120,120,240,240,120,240,480,480,160,75,15,90,
18,30,150,45,45,45,45,180,180,180,180,180,180,30,30,30,30,90,90,90,90,90,90,
90,90,90,90,90,90,180,180,180,180,45,60,60,180,180,90,90,90,90,180,180,96,20,
10,160,120,240,120,120,240,240,16,48,1,5,15,15,90,90,90,90,90,90,90,90,45,45,
45,6,10,30,30,60,60,120,48,48,96,15,15,45,6,18,18,10,20,30,30,60,16,48,5,6,18,
18,10,6,5,1],[1,3,75,225,160,1,25,225,75,75,900,180,150,30,225,180,900,225,90,
450,180,180,96,160,480,480,75,75,15,75,150,30,225,45,225,90,450,300,60,300,60,
450,90,450,90,120,600,180,900,900,180,900,180,900,180,180,180,180,180,360,360,
360,360,360,360,90,90,90,90,90,90,360,360,96,288,288,160,240,120,160,480,480,
25,6,30,50,10,60,300,150,30,45,225,225,45,90,450,90,450,90,450,180,900,45,45,
90,90,180,180,90,90,90,90,90,90,90,90,180,180,180,180,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,360,360,360,360,360,360,360,360,96,288,288,
120,120,240,120,240,480,240,480,160,15,75,18,90,150,30,45,45,45,45,180,180,
180,180,180,180,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,
180,45,60,60,180,180,90,90,90,90,180,180,96,10,20,160,240,120,120,120,240,240,
16,48,5,1,15,15,90,90,90,90,90,90,90,90,45,45,45,6,10,30,60,30,60,120,48,48,
96,15,15,45,6,18,18,20,10,30,30,60,16,48,5,6,18,18,10,6,5,1],[1,3,35,105,64,1,
5,105,15,15,180,180,30,30,45,180,180,105,90,90,60,60,240,240,16,320,35,15,5,
15,30,30,45,15,45,90,90,60,60,60,20,90,30,90,30,40,120,180,180,180,60,180,60,
180,60,60,60,60,60,120,120,120,120,120,120,30,30,120,30,30,30,30,120,120,120,
120,120,240,240,16,48,48,16,80,240,320,64,5,6,10,60,30,30,15,45,45,15,30,90,
90,90,60,180,60,15,15,60,30,30,60,60,30,30,30,60,30,60,120,60,60,60,120,60,
120,120,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,120,120,
120,120,120,120,120,120,16,48,48,96,96,80,80,80,160,64,5,15,18,30,15,15,15,15,
60,60,60,60,60,60,10,10,30,30,30,30,30,30,60,60,15,30,60,60,30,30,30,60,60,60,
60,60,60,60,60,60,60,60,60,60,16,48,48,20,24,40,80,80,80,16,64,1,30,30,30,30,
30,15,15,15,30,15,30,30,30,60,60,60,60,1,48,20,40,40,16,5,15,15,30,30,1,3,3,1,
20,40,4,16,15,1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,3,35,105,64,1,5,105,15,15,
180,180,30,30,45,180,180,105,90,90,60,60,240,240,16,320,35,5,15,15,30,30,15,
45,45,90,90,60,60,20,60,30,90,30,90,120,40,180,180,60,180,60,180,60,180,60,60,
60,60,120,120,120,120,120,120,30,30,120,30,30,30,30,120,120,120,120,120,240,
240,16,48,48,16,80,240,320,64,5,6,10,60,30,30,45,15,15,45,90,30,90,90,180,60,
60,15,15,60,30,30,60,60,30,30,30,60,30,60,120,60,60,60,120,60,120,120,30,30,
30,30,30,30,30,30,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,
120,120,16,48,48,96,96,80,80,80,160,64,15,5,18,30,15,15,15,15,60,60,60,60,60,
60,10,10,30,30,30,30,30,30,60,60,15,30,60,60,30,30,30,60,60,60,60,60,60,60,60,
60,60,60,60,60,16,48,48,20,24,40,80,80,80,16,64,1,30,30,30,30,30,15,15,15,30,
15,30,30,30,60,60,60,60,1,48,20,40,40,16,5,15,15,30,30,1,3,3,1,20,40,4,16,15,
1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,3,27,144,81,64,192,1,9,81,27,27,180,180,
72,30,30,81,180,180,81,90,90,360,360,72,36,36,360,360,1152,384,192,576,27,15,
15,27,30,30,45,45,81,90,90,36,36,60,60,60,60,90,90,90,90,120,120,180,180,180,
180,180,180,108,108,180,180,180,72,36,36,36,36,72,72,72,72,216,216,360,72,72,
360,360,72,360,432,432,216,216,360,18,18,180,180,18,18,18,18,108,108,108,108,
180,72,72,72,72,216,216,72,144,256,48,48,96,96,48,48,288,288,64,192,192,576,
192,576,9,6,6,10,10,60,60,18,18,30,30,45,45,45,45,90,90,90,90,90,90,180,180,
18,18,54,54,9,9,54,54,18,18,36,36,36,18,18,36,36,36,18,18,18,18,18,18,108,108,
18,18,108,108,108,108,108,108,108,108,36,36,36,36,108,108,180,108,108,180,180,
36,36,216,216,216,216,18,18,18,18,18,18,18,18,18,108,108,108,108,36,36,36,36,
108,108,108,108,108,108,108,108,108,108,180,36,36,36,180,180,36,72,72,72,216,
216,72,72,72,72,72,72,72,72,216,216,72,18,72,72,72,72,72,72,72,72,72,256,288,
96,96,384,384,384,384,288,48,48,96,96,144,96,96,144,96,96,192,192,192,576,15,
15,18,18,30,30,18,18,9,9,9,9,54,54,54,54,36,36,36,36,36,36,36,6,6,6,6,36,36,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,108,108,108,108,108,108,216,
216,108,108,108,108,180,36,36,108,108,9,12,12,18,36,18,18,36,36,36,36,36,36,
18,18,18,54,54,54,54,54,54,108,108,36,36,18,18,18,18,54,54,54,54,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,64,192,4,4,24,24,24,24,40,40,32,32,96,96,48,48,48,48,
48,48,96,96,96,96,144,144,48,48,144,96,96,96,96,144,1,1,3,3,18,18,54,54,54,54,
18,18,54,54,54,54,18,18,18,18,18,18,18,18,9,9,9,9,9,9,18,18,18,18,18,18,9,9,9,
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,
36,36,36,36,36,36,36,36,36,64,192,24,24,24,24,72,72,96,96,12,12,24,24,12,12,
24,24,24,24,48,48,96,96,96,96,144,144,3,3,18,18,9,9,9,9,9,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,16,16,48,1,1,4,4,8,8,12,12,24,24,12,12,24,24,12,
12,24,24,12,12,12,12,24,24,1,9,9,9,9,9,9,16,16,48,6,6,3,3,12,12,24,24,12,12,9,
4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,3,75,80,225,160,1,25,225,75,75,180,
900,40,30,150,225,900,180,225,450,90,360,360,40,180,180,360,360,96,160,320,
480,480,320,75,15,75,75,30,150,45,225,225,450,90,60,20,60,300,60,300,90,450,
90,450,600,120,900,180,180,900,180,900,60,180,180,900,180,40,180,180,180,180,
360,360,360,360,120,360,360,360,360,360,360,120,360,240,720,120,360,360,90,90,
180,180,90,90,90,90,180,60,60,180,180,360,120,120,360,360,120,120,240,96,288,
288,160,120,240,160,160,160,160,480,480,320,320,160,25,30,6,10,50,300,60,30,
10,30,150,225,45,45,225,450,90,450,90,450,90,900,180,10,30,90,30,45,45,30,90,
90,90,180,180,60,30,30,60,60,60,90,90,90,90,90,90,180,60,90,90,180,60,60,180,
60,180,60,180,180,180,60,60,180,60,180,60,180,180,180,180,180,360,120,360,120,
90,90,90,90,90,90,90,90,30,60,180,180,60,180,180,180,180,60,180,60,180,180,60,
60,180,60,180,180,180,180,180,180,180,180,360,360,360,120,360,360,120,120,120,
120,360,360,360,120,360,360,30,120,120,120,120,120,120,120,120,120,96,288,288,
192,192,120,120,240,80,160,320,240,120,240,480,480,80,160,160,160,160,160,160,
160,75,15,90,18,30,150,10,30,45,45,45,45,30,90,30,90,180,180,180,180,60,180,
180,30,30,30,30,20,60,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,
60,60,180,180,60,120,360,60,180,180,60,180,60,60,180,60,45,60,60,30,60,30,30,
60,60,60,60,60,60,30,30,30,90,30,90,30,90,30,60,180,180,180,90,90,90,90,90,30,
30,90,180,180,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,96,96,96,20,10,160,40,120,240,40,
80,160,120,120,40,80,240,80,80,160,240,40,160,16,48,1,5,15,15,30,10,90,30,30,
90,10,30,30,90,90,30,90,90,90,90,90,90,90,90,15,45,15,15,15,15,30,30,30,30,30,
30,45,45,15,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,30,20,40,30,60,60,20,40,120,40,
40,80,160,40,40,40,48,48,96,32,32,15,15,10,30,15,15,15,15,45,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,6,18,18,10,20,20,10,10,30,30,20,10,10,20,20,
20,60,20,40,16,48,16,16,16,16,5,15,15,15,15,15,15,6,18,18,12,12,10,10,10,10,
10,10,10,20,20,16,16,15,6,6,6,5,10,6,5,1,1],[1,3,75,80,225,160,1,25,225,75,75,
900,180,40,150,30,225,180,900,225,90,450,360,360,40,180,180,360,360,96,160,
320,480,480,320,75,75,15,75,150,30,225,45,225,90,450,20,60,300,60,300,60,450,
90,450,90,120,600,180,900,900,180,900,180,180,60,900,180,180,40,180,180,180,
180,360,360,360,360,360,120,360,360,360,360,360,120,360,720,240,360,120,360,
90,90,180,180,90,90,90,90,60,180,180,60,180,360,120,120,360,120,360,120,240,
96,288,288,160,240,120,160,160,160,160,480,480,320,320,160,25,6,30,50,10,60,
300,10,30,150,30,45,225,225,45,90,450,90,450,90,450,180,900,30,10,30,90,45,45,
90,30,90,90,180,180,60,30,30,60,60,60,90,90,90,90,90,90,60,180,90,90,60,180,
180,60,180,60,180,60,180,180,60,60,60,180,180,180,60,180,180,180,180,120,360,
120,360,90,90,90,90,90,90,90,90,30,180,60,60,180,180,180,180,180,180,60,180,
60,60,180,180,60,180,60,180,180,180,180,180,180,180,360,360,360,360,120,360,
120,120,120,120,360,360,360,360,120,360,30,120,120,120,120,120,120,120,120,
120,96,288,288,192,192,120,120,240,160,80,320,120,240,480,240,480,80,160,160,
160,160,160,160,160,15,75,18,90,150,30,30,10,45,45,45,45,90,30,90,30,180,180,
180,180,60,180,180,30,30,30,30,60,20,90,90,90,90,90,90,90,90,90,90,90,90,180,
180,180,180,60,180,180,60,60,180,360,120,180,60,60,180,180,60,60,60,180,45,60,
60,30,60,30,30,60,60,60,60,60,60,30,30,30,30,90,30,90,30,90,180,60,180,180,90,
90,90,90,30,90,90,30,180,180,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,96,96,96,10,20,
160,40,240,120,80,40,160,120,120,80,40,240,80,80,160,240,40,160,16,48,5,1,15,
15,10,30,30,90,90,30,30,10,90,30,30,90,90,90,90,90,90,90,90,90,15,45,15,15,15,
15,30,30,30,30,30,30,45,45,15,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,30,40,20,60,
30,60,20,40,120,40,80,40,160,40,40,40,48,48,96,32,32,15,15,30,10,15,15,15,15,
45,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,18,18,20,10,10,20,10,30,
30,10,20,10,20,20,20,60,20,40,16,48,16,16,16,16,5,15,15,15,15,15,15,6,18,18,
12,12,10,10,10,10,10,10,20,10,20,16,16,15,6,6,6,5,10,6,5,1,1],[1,3,75,225,160,
384,1,25,225,75,75,900,180,150,30,225,180,900,225,90,450,180,180,96,160,480,
480,1920,75,75,15,75,150,30,225,45,225,90,450,300,60,300,60,450,90,450,90,120,
600,180,900,900,180,900,180,900,180,180,180,180,180,360,360,360,360,360,360,
90,90,90,90,90,90,360,360,640,96,288,288,96,160,160,400,240,120,480,1200,160,
640,480,480,384,25,6,30,50,10,60,300,150,30,45,225,225,45,90,450,90,450,90,
450,180,900,45,45,90,90,180,180,90,90,90,90,90,90,90,90,180,180,180,180,90,90,
90,90,90,90,90,90,180,180,180,180,180,180,180,180,360,360,360,360,360,360,360,
360,640,96,288,288,120,120,240,120,240,240,480,480,480,240,480,240,480,480,
960,160,384,15,75,18,90,150,30,45,45,45,45,180,180,180,180,180,180,30,30,30,
30,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,45,60,60,180,180,90,90,
90,90,180,180,160,640,96,10,20,40,100,120,24,40,200,80,160,240,480,160,160,
240,120,120,120,240,240,16,48,96,5,1,15,15,90,90,90,90,90,90,90,90,45,45,45,
160,6,10,30,60,30,60,120,60,60,120,120,120,120,120,48,48,96,96,15,15,45,80,40,
160,6,18,18,64,5,1,20,10,20,40,30,30,60,60,16,48,24,5,40,6,18,18,10,15,15,24,
10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,3,75,225,160,384,1,25,225,75,75,180,900,
30,150,225,900,180,225,450,90,180,180,96,160,480,480,1920,75,15,75,75,30,150,
45,225,225,450,90,60,300,60,300,90,450,90,450,600,120,900,180,180,900,180,900,
180,900,180,180,180,180,360,360,360,360,360,360,90,90,90,90,90,90,360,360,640,
96,288,288,96,160,400,160,120,240,1200,480,160,640,480,480,384,25,30,6,10,50,
300,60,30,150,225,45,45,225,450,90,450,90,450,90,900,180,45,45,90,90,180,180,
90,90,90,90,90,90,90,90,180,180,180,180,90,90,90,90,90,90,90,90,180,180,180,
180,180,180,180,180,360,360,360,360,360,360,360,360,640,96,288,288,120,120,
240,240,120,480,240,480,240,480,480,480,240,960,480,160,384,75,15,90,18,30,
150,45,45,45,45,180,180,180,180,180,180,30,30,30,30,90,90,90,90,90,90,90,90,
90,90,90,90,180,180,180,180,45,60,60,180,180,90,90,90,90,180,180,160,640,96,
20,10,100,40,24,120,200,40,160,80,480,240,160,160,120,240,120,120,240,240,16,
48,96,1,5,15,15,90,90,90,90,90,90,90,90,45,45,45,160,6,10,30,30,60,120,60,60,
60,120,120,120,120,120,48,48,96,96,15,15,45,40,80,160,6,18,18,64,1,5,10,20,40,
20,30,30,60,60,16,48,24,5,40,6,18,18,10,15,15,24,20,10,6,16,5,5,5,5,6,10,6,5,
1,1],[1,3,75,240,225,160,384,1,25,225,75,75,180,900,120,30,150,225,900,180,
225,450,90,1080,1080,120,180,180,1080,1080,96,160,2560,960,480,480,1920,960,
75,15,75,75,30,150,45,225,225,450,90,180,60,60,300,60,300,90,450,90,450,600,
120,900,180,180,900,180,900,180,540,180,900,540,120,180,180,180,180,360,360,
360,360,360,1080,1080,360,360,1080,1080,360,1080,720,2160,360,1080,1080,90,90,
540,540,90,90,90,90,540,180,180,540,540,360,360,360,360,1080,360,360,720,640,
96,288,288,96,160,400,160,120,240,1200,480,160,640,480,480,1920,480,480,480,
1920,960,960,480,384,25,30,6,10,50,300,60,90,30,30,150,225,45,45,225,450,90,
450,90,450,90,900,180,30,90,270,90,45,45,90,270,90,90,180,180,180,90,90,180,
180,180,90,90,90,90,90,90,540,180,90,90,540,180,180,540,180,540,180,540,180,
180,180,180,540,180,540,180,540,540,540,180,180,1080,360,1080,360,90,90,90,90,
90,90,90,90,90,180,540,540,180,180,180,180,180,180,540,180,540,540,180,180,
540,180,540,540,180,180,180,540,540,180,360,360,360,360,1080,360,360,360,360,
360,360,360,360,360,1080,360,90,360,360,360,360,360,360,360,360,360,640,640,
640,96,288,288,576,576,640,120,120,240,240,480,1440,960,1440,960,960,240,120,
480,240,480,240,480,480,480,240,240,960,480,160,480,480,480,1920,480,480,480,
384,75,15,90,18,30,150,30,90,45,45,45,45,90,270,90,270,180,180,180,180,180,
180,180,30,30,30,30,60,180,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,
180,540,180,180,540,540,180,360,1080,180,540,540,180,540,180,180,540,180,45,
60,60,90,180,90,90,180,180,180,180,180,180,90,90,90,270,90,270,90,270,90,180,
540,180,180,90,90,90,90,270,90,90,270,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,160,640,640,96,288,288,20,10,100,40,24,
120,200,40,160,80,480,240,160,160,120,120,240,120,240,240,480,480,240,480,480,
120,120,120,240,240,240,480,240,480,240,480,240,480,240,120,480,16,48,96,384,
1,5,15,15,90,30,270,90,90,270,30,90,90,270,270,90,90,90,90,90,90,90,90,90,45,
45,45,45,45,45,90,90,90,90,90,90,45,45,45,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,160,640,160,160,6,288,10,30,120,40,60,120,120,360,240,360,
30,60,120,60,60,60,60,120,120,120,120,120,120,120,120,240,240,480,480,240,480,
480,120,120,120,48,48,96,96,96,96,15,15,30,90,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,40,80,160,160,6,18,18,64,1,5,10,20,40,20,60,
30,60,120,30,30,30,60,30,120,60,30,60,60,60,60,120,120,60,60,60,60,120,120,
120,16,48,24,48,48,48,48,96,5,45,45,45,45,45,45,80,40,160,40,40,6,18,18,36,36,
64,10,30,10,15,15,30,30,30,30,30,30,60,60,120,60,60,24,48,48,45,20,10,40,6,18,
18,16,5,5,5,5,15,15,15,15,30,6,24,10,10,10,20,18,16,15,15,15,15,6,5,10,1,6,5,
3,1,1],[1,3,75,240,225,160,384,1,25,225,75,75,900,180,120,150,30,225,180,900,
225,90,450,1080,1080,120,180,180,1080,1080,96,160,2560,960,480,480,1920,960,
75,75,15,75,150,30,225,45,225,90,450,60,180,300,60,300,60,450,90,450,90,120,
600,180,900,900,180,900,180,540,180,900,180,540,120,180,180,180,180,360,360,
360,360,1080,360,1080,360,360,1080,1080,360,1080,2160,720,1080,360,1080,90,90,
540,540,90,90,90,90,180,540,540,180,540,360,360,360,360,360,1080,360,720,640,
96,288,288,96,160,160,400,240,120,480,1200,160,640,480,480,1920,480,480,480,
1920,960,960,480,384,25,6,30,50,10,60,300,30,90,150,30,45,225,225,45,90,450,
90,450,90,450,180,900,90,30,90,270,45,45,270,90,90,90,180,180,180,90,90,180,
180,180,90,90,90,90,90,90,180,540,90,90,180,540,540,180,540,180,540,180,180,
180,180,180,180,540,540,540,180,540,540,180,180,360,1080,360,1080,90,90,90,90,
90,90,90,90,90,540,180,180,540,180,180,180,180,540,180,540,180,180,540,540,
180,540,180,540,180,180,180,540,540,180,360,360,360,1080,360,360,360,360,360,
360,360,360,360,1080,360,360,90,360,360,360,360,360,360,360,360,360,640,640,
640,96,288,288,576,576,640,120,120,240,480,240,960,1440,960,1440,960,120,240,
240,480,480,480,240,480,240,480,240,480,960,160,480,480,480,1920,480,480,480,
384,15,75,18,90,150,30,90,30,45,45,45,45,270,90,270,90,180,180,180,180,180,
180,180,30,30,30,30,180,60,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,
180,180,540,540,180,180,540,1080,360,540,180,180,540,540,180,180,180,540,45,
60,60,90,180,90,90,180,180,180,180,180,180,90,90,90,90,270,90,270,90,270,540,
180,180,180,90,90,90,90,90,270,270,90,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,160,640,640,96,288,288,10,20,40,100,120,
24,40,200,80,160,240,480,160,160,120,240,120,240,120,480,240,240,480,480,480,
120,120,240,120,240,240,480,240,240,480,240,480,480,240,120,480,16,48,96,384,
5,1,15,15,30,90,90,270,270,90,90,30,270,90,90,270,90,90,90,90,90,90,90,90,45,
45,45,45,45,45,90,90,90,90,90,90,45,45,45,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,160,640,160,160,6,288,10,30,40,120,120,60,360,120,360,240,
60,30,60,120,60,60,60,120,120,120,120,120,120,120,240,120,480,240,240,480,480,
480,120,120,120,48,48,96,96,96,96,15,15,90,30,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,80,40,160,160,6,18,18,64,5,1,20,10,20,40,30,
60,120,60,30,30,30,30,60,60,120,30,60,60,60,60,120,120,60,60,60,60,120,120,
120,16,48,24,48,48,48,48,96,5,45,45,45,45,45,45,40,80,160,40,40,6,18,18,36,36,
64,30,10,10,15,15,30,30,30,30,30,60,30,120,60,60,60,24,48,48,45,10,20,40,6,18,
18,16,5,5,5,5,15,15,15,15,30,6,24,10,10,20,10,18,16,15,15,15,15,6,5,10,1,6,5,
3,1,1],[1,3,315,945,1120,1,105,945,315,315,3780,3780,630,630,945,3780,3780,
945,1890,1890,3780,3780,2016,3360,10080,3360,960,315,315,315,315,630,630,945,
945,945,1890,1890,1260,1260,1260,1260,1890,1890,1890,1890,2520,2520,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,7560,7560,7560,7560,
7560,1890,1890,1890,1890,1890,1890,7560,7560,280,2016,6048,6048,1680,2520,
2520,1120,10080,10080,2880,105,126,126,210,210,1260,1260,630,630,945,945,945,
945,1890,1890,1890,1890,1890,1890,3780,3780,945,945,1890,1890,3780,3780,1890,
1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,1890,1890,1890,1890,
1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,7560,7560,7560,
7560,7560,7560,7560,7560,280,840,840,2016,6048,6048,960,2520,2520,2520,2520,
5040,5040,2520,2520,5040,5040,5040,3360,960,315,315,378,378,630,630,945,945,
945,945,3780,3780,3780,3780,3780,3780,630,630,630,630,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,945,1260,1260,
3780,3780,1890,1890,1890,1890,3780,3780,280,840,840,1680,1680,2016,2880,210,
210,1680,2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,336,1008,1008,21,
21,315,315,1890,1890,1890,1890,1890,1890,1890,1890,945,945,945,280,840,840,
3360,126,126,960,210,210,630,630,630,630,1260,2520,2520,1008,1008,1008,2016,
2016,315,315,945,840,126,126,378,378,378,378,360,210,210,630,630,630,630,1260,
336,1008,1008,105,280,126,126,378,378,378,378,360,720,168,210,210,126,126,360,
168,336,105,168,21,21,1],[1,3,315,240,945,1120,1,105,945,315,315,3780,3780,
120,630,630,945,3780,3780,945,1890,1890,2520,2520,120,3780,3780,2520,2520,
2016,3360,2240,10080,3360,6720,960,315,315,315,315,630,630,945,945,945,1890,
1890,420,420,1260,1260,1260,1260,1890,1890,1890,1890,2520,2520,3780,3780,3780,
3780,3780,3780,1260,1260,3780,3780,1260,120,3780,3780,3780,3780,7560,7560,
7560,7560,2520,2520,2520,7560,7560,2520,2520,2520,2520,5040,5040,2520,2520,
2520,1890,1890,1260,1260,1890,1890,1890,1890,1260,1260,1260,1260,1260,7560,
2520,2520,7560,2520,2520,2520,5040,280,2016,6048,6048,1680,2520,2520,1120,
3360,1120,1120,10080,10080,6720,6720,3360,2880,1920,105,126,126,210,210,1260,
1260,210,210,630,630,945,945,945,945,1890,1890,1890,1890,1890,1890,3780,3780,
210,210,630,630,945,945,630,630,1890,1890,3780,3780,1260,630,630,1260,1260,
1260,1890,1890,1890,1890,1890,1890,1260,1260,1890,1890,1260,1260,1260,1260,
1260,1260,1260,1260,3780,3780,1260,1260,1260,1260,1260,1260,1260,1260,1260,
3780,3780,2520,2520,2520,2520,1890,1890,1890,1890,1890,1890,1890,1890,630,
1260,1260,1260,1260,3780,3780,3780,3780,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,3780,3780,3780,1260,1260,3780,7560,7560,7560,2520,2520,
7560,2520,2520,2520,2520,7560,7560,7560,2520,2520,7560,630,2520,2520,2520,
2520,2520,2520,2520,2520,2520,280,840,840,2240,2016,6048,6048,4032,4032,960,
2520,2520,2520,2520,5040,5040,1680,1680,3360,2520,2520,5040,5040,5040,1680,
1680,3360,3360,1120,3360,3360,3360,3360,960,960,960,315,315,378,378,630,630,
210,210,945,945,945,945,630,630,630,630,3780,3780,3780,3780,1260,3780,3780,
630,630,630,630,420,420,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,3780,3780,3780,3780,1260,1260,1260,1260,1260,1260,2520,2520,1260,
1260,1260,1260,1260,1260,1260,1260,1260,945,1260,1260,630,1260,630,630,1260,
1260,1260,1260,1260,1260,630,630,630,630,630,630,630,630,630,1260,1260,3780,
3780,1890,1890,1890,1890,630,630,630,630,3780,3780,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,280,840,840,1680,1680,1120,1120,1120,1120,2016,2016,2016,2880,1920,210,
210,1680,840,840,2520,2520,840,840,1680,2520,2520,2520,2520,840,840,5040,5040,
1680,1680,1680,1680,1680,5040,5040,840,840,3360,960,336,1008,1008,21,21,315,
315,210,210,630,630,630,630,210,210,630,630,630,630,1890,1890,1890,1890,1890,
1890,1890,1890,315,945,315,315,315,315,630,630,630,630,630,630,945,945,315,
630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,280,840,840,3360,560,560,1120,1120,1120,1120,126,126,2016,960,
960,960,210,210,630,630,420,420,630,630,1260,420,420,840,840,2520,2520,840,
840,840,840,1680,840,840,840,840,840,840,1008,1008,1008,2016,2016,672,672,672,
315,315,210,210,315,315,315,315,945,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,280,840,280,560,560,560,126,126,378,378,378,378,360,
960,210,210,210,210,210,210,630,630,630,630,210,210,210,210,420,420,420,420,
420,1260,420,840,840,336,1008,1008,336,336,336,336,336,336,105,315,315,315,
315,315,315,280,280,280,126,126,378,378,378,378,252,252,252,252,360,720,240,
168,210,210,210,210,210,210,210,210,210,210,210,210,210,210,420,336,336,336,
315,280,126,126,126,126,126,126,120,360,120,168,336,112,105,210,210,126,126,
120,56,56,168,105,56,21,21,21,21,1,1],[1,3,315,945,1120,1344,3840,1,105,945,
315,315,3780,3780,630,630,945,3780,3780,945,1890,1890,3780,3780,2016,3360,
10080,3360,20160,960,315,315,315,315,630,630,945,945,945,1890,1890,1260,1260,
1260,1260,1890,1890,1890,1890,2520,2520,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,7560,7560,7560,7560,7560,7560,1890,1890,1890,1890,
1890,1890,7560,7560,280,4480,8960,2016,6048,6048,336,960,1680,1680,1680,2520,
2520,5040,5040,1120,6720,10080,10080,2880,8064,105,126,126,210,210,1260,1260,
630,630,945,945,945,945,1890,1890,1890,1890,1890,1890,3780,3780,945,945,1890,
1890,3780,3780,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,
1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,
3780,7560,7560,7560,7560,7560,7560,7560,7560,280,840,840,13440,2016,6048,6048,
960,7680,3840,2520,2520,2520,2520,5040,5040,2520,2520,5040,5040,5040,5040,
5040,5040,5040,5040,10080,10080,3360,4480,960,8064,315,315,378,378,630,630,
945,945,945,945,3780,3780,3780,3780,3780,3780,630,630,630,630,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,945,1260,
1260,3780,3780,1890,1890,1890,1890,3780,3780,280,840,840,1120,2240,6720,1680,
1680,2016,2880,210,210,420,420,504,504,840,840,1680,1680,5040,5040,1680,1680,
2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,4480,336,1008,1008,2016,
3840,21,21,315,315,1890,1890,1890,1890,1890,1890,1890,1890,945,945,945,280,
840,840,3360,3360,126,126,960,960,1920,210,210,630,630,630,630,1260,1260,1260,
1260,2520,2520,2520,2520,2520,2520,1120,1008,1008,1008,2016,2016,2016,315,315,
945,840,840,1680,840,126,126,378,378,378,378,360,1344,21,21,210,210,420,420,
630,630,630,630,1260,1260,1120,336,1008,1008,504,504,960,105,280,840,840,126,
126,378,378,378,378,360,720,168,210,210,315,315,504,504,210,210,126,126,360,
168,336,336,105,105,105,105,280,126,126,210,210,168,126,126,105,21,21,21,21,1,
1],[1,3,315,720,945,1120,1344,3840,1,105,945,315,315,3780,3780,360,630,630,
945,3780,3780,945,1890,1890,7560,7560,360,3780,3780,7560,7560,2016,3360,3840,
13440,6720,10080,3360,20160,20160,960,315,315,315,315,630,630,945,945,945,
1890,1890,1260,1260,1260,1260,1260,1260,1890,1890,1890,1890,2520,2520,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,360,3780,3780,3780,3780,
7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,15120,15120,
7560,7560,7560,1890,1890,3780,3780,1890,1890,1890,1890,3780,3780,3780,3780,
3780,7560,7560,7560,7560,7560,7560,7560,15120,280,4480,8960,2016,6048,6048,
336,960,1680,1680,1680,2520,2520,5040,5040,1120,6720,10080,3360,20160,3360,
10080,10080,20160,20160,20160,10080,2880,5760,8064,105,126,126,210,210,1260,
1260,630,630,630,630,945,945,945,945,1890,1890,1890,1890,1890,1890,3780,3780,
630,630,1890,1890,945,945,1890,1890,1890,1890,3780,3780,3780,1890,1890,3780,
3780,3780,1890,1890,1890,1890,1890,1890,3780,3780,1890,1890,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,7560,7560,7560,7560,1890,1890,1890,1890,1890,1890,1890,1890,
1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,7560,7560,7560,
7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,7560,1890,7560,7560,
7560,7560,7560,7560,7560,7560,7560,280,840,4480,840,6720,13440,26880,13440,
2016,6048,6048,12096,12096,960,7680,3840,960,3360,2520,2520,2520,2520,5040,
5040,5040,5040,10080,10080,10080,10080,10080,2520,2520,5040,5040,5040,5040,
5040,5040,5040,5040,5040,5040,10080,10080,3360,10080,3360,10080,20160,10080,
10080,10080,4480,960,2880,2880,8064,315,315,378,378,630,630,630,630,945,945,
945,945,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,630,630,630,
630,1260,1260,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,7560,3780,3780,3780,
3780,3780,3780,3780,3780,3780,945,1260,1260,1890,3780,1890,1890,3780,3780,
3780,3780,3780,3780,1890,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,
3780,3780,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,280,840,840,1120,2240,6720,1680,1680,3360,3360,3360,13440,3360,
2016,6048,6048,2880,5760,3840,210,210,420,420,504,504,840,840,1680,1680,5040,
5040,1680,1680,2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,5040,5040,
2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,5040,5040,5040,5040,5040,
5040,5040,5040,5040,5040,2520,2520,10080,4480,4480,4480,2880,336,1008,1008,
2016,8064,3840,21,21,315,315,630,630,1890,1890,1890,1890,630,630,1890,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,945,945,945,945,945,945,
1890,1890,1890,1890,1890,1890,945,945,945,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,280,840,840,
3360,1120,6720,1680,1680,3360,3360,3360,6720,3360,3360,3360,126,126,6048,960,
2880,960,1920,2880,210,210,630,630,840,840,1260,1260,2520,2520,2520,2520,630,
630,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,5040,5040,5040,5040,5040,5040,2520,2520,2520,2520,2520,
2520,1120,4480,1008,1008,1008,2016,2016,2016,2016,2016,2016,3840,315,315,630,
630,945,945,945,945,945,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,840,840,840,1680,840,840,1680,1680,1680,3360,
126,126,378,378,378,378,360,960,2880,1344,21,21,210,210,420,420,630,630,1260,
1260,630,630,630,630,630,630,630,630,1260,1260,630,630,1260,1260,1260,1260,
1260,1260,2520,2520,1260,1260,1260,1260,2520,2520,2520,2520,1120,1120,1120,
336,1008,1008,504,504,1008,1008,1008,1008,1008,1008,2016,960,105,945,945,945,
945,945,945,280,840,840,840,1680,840,840,840,840,840,126,126,378,378,378,378,
756,756,756,756,360,720,720,168,1344,210,210,210,210,315,315,630,630,630,630,
630,630,630,630,630,630,630,630,1260,1260,1260,1260,1120,504,504,1008,1008,
1008,960,945,210,210,840,840,840,126,126,378,378,378,378,360,360,360,168,336,
336,336,105,105,105,105,315,315,315,315,630,630,280,126,126,504,504,210,210,
210,210,210,210,378,378,360,168,168,168,336,315,315,315,315,280,126,126,105,
210,210,168,21,21,126,126,105,63,63,21,21,21,21,1,3,1,1]],
[1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,
6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,14,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,20,20,20,20,20,21,21,
21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,27,28,28,28,30,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
36,36,36,36,36,36,36,36,40,40,40,42,42,42,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,54,54,54,56,60,60,60,60,60,63,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,80,80,80,84,84,84,84,84,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,108,108,120,120,120,120,120,120,120,120,120,126,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,144,144,144,144,144,144,144,144,144,144,160,160,160,160,160,160,
168,168,168,180,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,216,216,216,240,240,240,240,240,240,240,240,240,240,240,240,
252,256,256,256,256,256,256,256,288,288,288,288,288,288,288,288,288,288,320,
320,320,320,320,320,320,320,320,320,336,336,336,360,360,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,432,480,
480,480,480,480,504,512,576,576,576,576,576,640,640,640,640,640,640,672,672,
672,720,720,720,720,768,768,768,768,768,768,768,768,768,768,864,960,960,960,
960,1152,1152,1152,1152,1152,1152,1280,1280,1344,1440,1440,1440,1440,1536,
1536,1536,1536,1728,1920,1920,2304,2304,2304,2880,3840,3840,3840,3840,4608,
7680,7680,11520,11520,23040,23040,80640,161280,241920,483840],
[941,939,919,881,869,862,839,708,941,931,869,916,917,710,709,911,897,896,869,
712,711,869,811,810,626,594,911,716,715,594,626,806,743,708,489,637,545,741,
335,332,868,919,917,916,918,897,896,869,869,869,811,810,854,855,842,843,858,
859,810,811,814,813,758,759,709,710,710,709,710,709,722,723,711,712,716,911,
716,716,716,716,581,581,581,581,594,594,626,581,581,594,594,594,626,356,357,
594,594,627,812,812,716,716,813,814,810,811,723,722,722,723,716,581,594,594,
581,569,568,594,477,920,698,548,806,647,647,915,868,819,818,817,788,789,688,
687,862,635,545,741,335,741,545,545,335,332,332,545,752,649,554,931,930,929,
924,925,859,858,896,897,897,896,869,869,869,869,811,810,811,810,813,814,709,
710,897,896,811,810,869,869,810,811,812,812,709,710,716,812,812,716,716,716,
814,813,814,813,810,811,728,729,810,811,723,722,716,716,716,716,722,723,709,
710,716,716,716,716,716,726,727,716,716,710,709,569,568,569,568,810,811,813,
814,813,814,810,811,812,716,716,716,716,710,709,710,709,716,716,722,723,723,
722,722,723,722,723,716,716,716,716,716,716,716,581,581,581,568,569,581,594,
594,594,594,581,581,581,568,569,581,812,594,594,594,594,594,594,596,595,601,
920,874,698,874,637,489,292,489,806,647,647,493,492,868,555,708,868,743,789,
788,788,789,680,679,677,678,537,536,539,538,540,789,788,686,685,689,680,679,
690,687,688,677,678,507,508,743,545,741,545,335,545,545,545,698,868,752,752,
554,916,917,909,910,897,896,897,896,869,869,869,869,810,811,810,811,709,710,
709,710,716,716,716,893,892,894,895,855,854,814,813,813,814,813,814,810,811,
810,811,811,810,710,709,710,709,716,716,722,723,723,722,568,569,722,723,716,
716,716,716,716,716,716,869,861,860,812,716,812,812,716,716,716,716,716,716,
812,812,812,811,810,811,810,811,810,711,712,709,710,810,811,814,813,811,810,
810,811,710,709,716,716,716,716,722,723,722,723,722,723,723,722,722,723,722,
723,720,721,718,719,730,731,716,716,716,716,719,718,720,721,716,722,723,722,
723,715,920,874,874,862,793,635,816,824,741,742,734,489,741,806,647,647,752,
649,708,925,924,907,908,902,901,873,872,817,818,687,688,819,819,788,789,788,
789,788,789,688,687,686,685,689,690,788,789,788,789,788,789,680,679,677,678,
689,677,678,687,688,686,685,690,680,679,788,789,545,698,698,698,752,915,866,
865,806,554,708,936,937,918,919,896,897,811,810,810,811,897,896,810,811,811,
810,811,810,813,814,813,814,811,810,869,869,869,869,869,869,810,811,810,811,
811,810,869,869,869,813,814,810,811,810,811,812,812,812,811,810,723,722,722,
723,723,722,722,723,718,719,719,718,720,721,720,721,731,730,716,716,716,716,
731,730,920,874,874,738,862,635,824,824,734,743,743,641,740,741,741,930,929,
647,868,752,868,807,752,924,925,896,897,873,872,855,854,783,782,772,773,897,
896,859,858,861,860,855,854,790,791,782,783,788,789,789,788,788,789,788,789,
685,686,687,688,689,690,788,789,789,788,788,789,862,698,867,865,866,797,796,
806,801,800,802,708,917,916,897,896,869,869,869,869,869,813,814,814,813,810,
811,811,810,810,811,811,810,812,812,810,811,874,872,873,819,874,874,816,824,
824,743,930,929,909,910,909,910,911,868,752,839,936,937,924,925,908,907,896,
897,858,859,896,897,896,897,896,897,896,897,859,858,896,897,861,860,854,855,
854,855,782,783,861,860,860,861,788,789,790,791,862,862,862,915,865,866,901,
902,865,866,867,867,865,866,806,868,931,869,869,869,869,869,869,920,874,873,
872,819,872,873,873,872,874,930,929,910,909,910,909,878,877,879,880,911,882,
881,926,839,924,925,924,925,917,916,897,896,896,897,897,896,896,897,896,897,
897,896,858,859,860,861,862,901,902,865,866,867,868,869,925,924,872,873,874,
929,930,909,910,909,910,911,911,911,926,914,912,915,931,931,931,931,916,917,
917,916,896,897,920,930,929,901,902,924,925,925,924,924,925,909,910,911,926,
926,926,915,916,917,918,919,920,929,930,931,924,925,926,936,937,929,930,931,
932,933,937,936,936,937,941,939,941,941],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,8,7,6,6,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,5,
5,5,5,5,5,5,5,5,5,3,5,5,5,5,5,3,3,3,5,5,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,5,1,1,1,1,32,32,1,9,9,10,10,10,17,18,13,12,1,1,1,6,7,6,6,6,7,6,6,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,2,
3,5,5,5,5,5,5,5,5,5,5,5,5,3,3,2,2,5,5,5,5,2,3,5,5,3,5,5,5,2,5,5,3,3,3,3,5,5,5,
5,5,5,5,5,5,3,3,2,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,5,5,5,5,2,5,5,5,5,3,3,5,5,5,
5,5,5,5,5,3,3,5,5,5,5,5,5,5,5,5,5,1,120,120,121,1,6,7,8,6,1,32,32,32,32,41,41,
1,127,126,132,131,131,132,131,132,131,132,133,134,129,130,128,18,17,10,10,9,
17,18,10,12,13,17,18,12,13,6,6,38,38,39,6,38,2,6,1,1,1,32,1,1,1,1,1,1,2,2,5,5,
5,5,3,3,5,5,5,5,5,5,5,5,5,13,12,13,12,17,18,12,13,13,12,13,12,12,13,12,13,13,
12,12,13,12,13,22,22,17,18,23,24,24,23,24,23,22,22,22,22,22,22,22,1,2,3,5,5,
22,22,22,22,22,22,22,22,22,22,5,5,5,5,5,3,3,3,3,5,5,5,5,5,5,5,5,2,2,5,5,2,3,5,
5,24,23,24,23,17,18,13,12,17,18,12,13,12,13,13,12,2,3,22,22,22,22,12,13,12,13,
22,5,5,5,5,5,1,120,120,9,9,10,120,120,6,120,120,121,6,32,32,32,41,41,8,154,
153,150,150,152,151,154,153,10,10,12,13,10,9,17,18,17,18,131,132,133,134,130,
129,126,128,131,132,131,132,131,132,131,132,131,132,126,131,132,134,133,130,
129,128,131,132,17,18,38,121,120,339,2,550,551,552,9,149,41,1,1,2,3,18,17,23,
24,22,22,17,18,24,23,22,22,13,12,13,12,13,12,13,12,5,5,13,12,13,12,17,18,24,
23,13,12,5,5,5,13,12,17,18,24,23,22,22,22,22,22,60,59,59,60,60,59,59,60,62,61,
61,62,61,62,61,62,99,99,22,22,22,22,99,99,120,120,120,120,481,483,120,120,287,
135,126,127,120,289,38,151,152,125,41,41,9,340,41,498,497,497,498,503,504,498,
497,504,503,500,499,153,154,150,150,407,408,153,154,151,152,154,153,131,132,
132,131,318,317,318,317,320,319,325,326,321,324,131,132,47,46,318,317,135,339,
550,552,551,551,552,294,551,552,550,301,13,12,46,47,50,50,50,22,50,62,61,61,
62,59,60,60,59,162,161,161,162,99,99,46,47,287,153,154,150,120,287,120,289,
286,481,645,646,645,646,151,152,750,127,147,550,556,557,153,154,150,150,497,
498,499,500,154,153,497,498,497,498,497,498,500,499,154,153,669,670,497,498,
497,498,503,504,407,408,670,669,318,317,502,501,478,697,481,550,552,551,151,
152,552,551,550,550,552,551,553,340,150,178,162,161,177,164,163,286,289,736,
735,737,504,503,497,498,480,151,152,646,645,646,645,646,645,645,646,750,750,
750,838,753,754,755,498,497,557,556,348,349,497,498,665,666,666,665,497,498,
665,666,668,667,670,669,697,645,646,700,701,699,650,581,557,556,735,736,631,
646,645,645,646,645,646,750,750,750,838,838,838,795,557,556,808,808,754,755,
755,754,666,665,815,557,556,798,799,756,757,755,754,871,870,748,749,835,838,
838,838,887,845,844,891,890,898,826,825,808,871,870,884,927,928,900,899,923,
927,928,928,927,935,934,938,938,938,940],
[( 1, 2, 83)( 3,261,309)( 4,228,225)( 5,300,203)( 6,100,138)
( 7,164,260)( 8,102, 13)( 9,185,201)( 10,197,140)( 11,214, 33)( 12,204, 47)
( 14,283, 23)( 15,259,244)( 16,293, 76)( 17, 58,218)( 18, 21,154)( 19, 31,162)
( 20, 71,142)( 22,215,126)( 24,297,163)( 25,241,313)( 26,114,240)( 27,253,190)
( 28,217, 87)( 29, 78, 36)( 30, 48, 37)( 32, 86,280)( 34,333,221)( 35,179,226)
( 38,115,272)( 39,113,319)( 40,271,182)( 41,243, 79)( 42, 53,183)( 43,247,194)
( 44,106,149)( 45,116,157)( 46, 57, 52)( 49,256,141)( 50, 70, 75)( 51,274,128)
( 54,161,335)( 55,267,174)( 56,186,158)( 59,239,305)( 60,198,308)( 61,303,160)
( 62, 92, 91)( 63,184,246)( 64,317,108)( 65,151,176)( 66,288, 99)( 67,206,245)
( 68,216, 77)( 69,104,298)( 72,289, 97)( 73,202,196)( 74,111,291)( 80,195,175)
( 81,210,290)( 82,123,209)( 84,112,130)( 85,334,327)( 88,252,292)( 89,132,189)
( 90,282,257)( 93,133,135)( 94,320,238)( 95,220,129)( 96,234,147)( 98,236,213)
(101,187,143)(103,144,336)(105,235,137)(107,212,146)(109,145,153)(110,155,270)
(117,265,170)(118,168,119)(120,124,178)(121,302,166)(122,318,148)(125,177,152)
(127,324,192)(131,328,188)(134,329,181)(136,180,332)(139,322,205)(150,207,269)
(156,312,275)(159,325,211)(165,279,250)(167,281,248)(169,223,230)(171,266,208)
(172,306,193)(173,323,251)(191,331,249)(199,200,310)(219,268,311)(222,285,264)
(224,229,277)(227,263,276)(231,286,287)(232,237,254)(233,304,301)(242,294,321)
(255,262,278)(258,307,299)(273,314,326)(284,315,316)(295,296,330),
( 1, 29,151,206,132, 24,266,185,108,221,322,111,312, 10, 69, 77,285,124,314,
181, 13, 82,229, 41,193,327, 30,210)( 2,114,309,255,217,184,271, 67, 25, 27,
84,293, 4, 40,104,319,137,236, 86,194,308,120,257,220,180, 61,146,198)
( 3,252,135,323,139,278,288,190,273,270,171, 70,247,152)( 5,222,336,274, 34,
318,321,112,158, 73, 26,150,201, 85)( 6, 43, 56, 15,110,205,163,310, 96,176,
103,296,209, 48,148,246,238,267, 23,172,329,237,300,264,118,133, 9,275)
( 7,100,218,263, 46,226,311,186, 75,154,287, 72,242, 39,207,122,128,149,116,
88, 21, 94,279,219,125,167, 91,240)( 8,200,115,216,269,204,239,175,117,249,
262,333, 50, 93,208,232,324, 36,164,170,126,143, 47, 19,213, 79,250,295)
( 11,254, 22,178, 68,281, 54, 60, 83,328, 12,107, 52,317)( 14,244,277,307,299,
28, 62,188,196,130,109,106,303, 74,155, 55, 64, 99, 66, 32,294,316,304,136,
230,227, 76,334)( 16,192, 90,276,169,280,268,160,272,241, 44,145, 87, 18)
( 17,214,142,292,335,153,253,282,325,202,189,225,177, 97, 51,159,121,179, 53,
223,129,313, 33,233,326,212,231,248)( 20,134,290,195,174,162,156,302,297,197,
187,259,331, 37)( 31,215, 80, 81,144,161,157,127,284,251,173,166,203,261,191,
59,101,140,168, 42, 57, 38,131,256,141, 71,234,235)( 35,330, 49,306, 98,258,
95, 89,283,102,165, 63,286,105)( 45,224,211,199,305,245, 78,289,183,182,298,
315,265,228)( 58,243,138, 92,332,320,301,113,260,123,291,147, 65,119)],
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1,1,-1,2,-1,1,-1,3,1]]],[[[1,-1],[2,1,1,1],[4,1,2,-1,3,-1,4,1,2,-1,3,-1],[5,
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1],[1,1,2,1,1,1],[3,-1,4,1,3,-1,4,1]],[[1,1,2,1,1,1],[3,2]]],[[[1,-1,2,1],[3,
-1,2,3,1,-1,3,2]],[[1,1,2,-3]]],[[[1,1,2,1,1,1],[3,-2,2,-1,1,1,2,1,3,1]],[[2,
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1]]],[[[1,-1,2,1],[3,2,2,3,1,-1]],[[1,1,2,-3,1,-1,2,1]],[[1,-1,2,1],[3,1,1,1,
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1,1,2,-1,1,-1]],[[2,2,1,-1],[1,1,2,1,3,-1,1,-1,3,1]]],[[[1,1,2,1],[2,1,3,1,1,
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AFLT( "2^2.L3(4).3.2_2","HE",[1,2,2,2,3,4,4,5,6,6,13,8,9,11,10,7,9,8,13,13,13,
12,12,12,7,12,14,15,16,15,14,17,19,18,19,19,20,22,22,22,25,35,30,29,35,30,29,
28,27,36,38,39,29,30,41,40,35,35,36,36,34,33,40,41,42,43,41,40,43,42,37,37,39,
38,37,44,46,47,48,45,52,51,56,56,47,48,44,50,49,47,48,46,55,55,55,46,46,55,62,
61,66,66,59,60,58,57,63,63,57,58,63,67,63,62,67,66,66,70,71,72,72,73,74,75,76,
80,78,80,80,80,82,81,82,81,87,87,88,97,97,91,95,92,91,91,92,100,102,102,104,
111,105,106,111,111,117,116,110,109,116,117,112,113,114,115,117,116,115,114,
119,118,119,118,126,125,125,126,124,130,123,122,133,133,131,132,127,146,146,
145,149,149,153,152,155,154,158,159,163,162,161,160,170,170,176,177,176,177,
159,158,166,167,175,175,163,162,178,150,151,170,178,168,169,177,176,178,178,
187,188,184,183,191,190,185,186,189,203,204,204,203,198,197,196,195,200,199,
200,199,202,202,188,187,179,180,209,192,193,194,202,209,201,212,210,211,209,
209,213,189,201,200,199,210,211,213,203,204,212,138,219,216,215,216,215,214,
224,223,222,230,231,230,233,234,234,235,234,237,241,240,239,238,242,245,247,
250,261,254,253,251,252,266,267,253,254,253,254,261,261,261,271,270,281,281,
281,277,278,281,271,270,270,271,278,277,284,287,288,291,288,297,299,296,302,
303,304,305,307,311,312,309,310,312,311,322,321,320,315,318,319,322,321,316,
317,328,329,327,326,323,330,330,333,334,332,331,332,331,353,354,339,340,348,
347,337,338,349,350,344,343,364,363,367,366,358,357,351,352,365,365,368,369,
357,358,369,368,365,359,360,369,368,397,443,443,441,442,445,445,459,458,459,
458,460,460,503,503,414,383,384,383,384,393,394,394,393,389,390,381,382,386,
385,378,377,394,393,391,392,470,470,469,469,479,479,473,474,475,476,492,491,
483,482,482,483,478,477,485,486,517,517,436,427,428,429,505,504,506,507,376,
404,405,401,401,508,520,522,521,523,524,523,528,529,533,530,531,530,534,535,
537,536,538,538,540,546,545,545,546,544,543,545,546,557,557,559,558,557,557,
551,552,558,559,602,601,602,601,608,608,608,608,570,569,574,573,566,567,586,
587,570,569,581,566,567,567,566,581,581,581,585,584,597,596,618,627,627,625,
630,631,632,633,635,636,639,642,641,680,680,668,669,674,675,675,674,647,648,
653,654,654,653,655,656,662,661,657,658,660,659,721,724,696,695,693,694,697,
698,708,707,714,713,718,717,667,780,779,765,764,771,770,793,778,792,689,690,
747,746,735,734,748,748,730,729,823,822,820,821,819,818,827,826,849,849,802,
802,787,787,848,848,851,852,853,854,855,855,859,860,865,861,869,868,872,866,
873,876,875,877,878,879,880,882,884,886,885,889,890,886,885,897,898,898,897,
898,897,904,905,905,904,926,926,919,918,925,924,919,918,910,911,916,917,940,
939,942,941,949,949,941,942,949,949,935,934,953,952,930,929,969,971,979,981,
980,982,983,984,977,976,975,986,989,990,994,993,1025,1026,1044,1031,1014,1080,
1079,1077,1078,1073,1074,1068,1067,1045,1046,1050,1049,1088,1088,1020,1019,
1116,1111,1111,1111,1114,1115,1119,1118,1117,1123,1131,1132,1133,1134,1135,
1136,1137,1142,1146,1147,1150,1149,1154,1153,1153,1154,1182,1181,1181,1182,
1179,1180,1176,1175,1171,1172,1169,1170,1169,1170,1194,1195,1229,1229,1223,
1224,1216,1215,1215,1216,1214,1214,1234,1234,1237,1238,1211,1210,1247,1246,
1248,1250,1252,1251,1254,1253,1258,1259,1260,1257,1255,1256,1261,1263,1264,
1292,1274,1273,1297,1288,1287,1311,1323,1318,1318,1318,1313,1312,1313,1312,
1328,1334,1333,1335,1336,1337,1338,1341,1342,1340,1339,1343,1344,1343,1352,
1354,1359,1360,1364,1363,1362,1361,1390,1389,1372,1371,1385,1386,1374,1373,
1393,1394,1377,1378,1377,1378,1426,1426,1433,1436,1435,1437,1438,1439,1443,
1455,1459,1460,1467,1467,1470,1475,1474,1478,1479,1476,1477,1480,1481,1482,
1484,1485,1487,1486,1490,1489,1495,1495,1507,1506,1502,1503,1514,1515,1520,
1524,1525,1526,1527,1541,1540,1543,1542,1536,1537,1554,1553,1557,1560,1558,
1559,1561,1576,1577,1582,1582,1587,1592,1593,1598,1604,1603,1614,1628,1629,
1637,1636,1641,1665,1666,1673,1672,1684,1685,1690,1693,1694,1695] );
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#E