GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmm24m7.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmm24m7.tom,v 4.2 2001/07/05 07:05:31 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the seventh maximal subgroup of
## $M24$.
##
#H tomlib history
#H --------------
#H $Log: tmm24m7.tom,v $
#H Revision 4.2 2001/07/05 07:05:31 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/tmm24m7.tom,v
#H Working file: tmm24m7.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 11:52:58; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:46; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmm24m7_tom :=
"@(#)$Id: tmm24m7.tom,v 4.2 2001/07/05 07:05:31 gap Exp $";
SetActualLibFileName("tmm24m7");
LIBTOM( "2^6:(L3(2)xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,2,11],[1,4,
12],[1,2,13],[1,5,14],[1,2,4,15],[1,2,16],[1,2,3,17],[1,6,18],[1,5,19],[1,2,6,
20],[1,2,5,21],[1,2,4,22],[1,6,23],[1,4,24],[1,5,6,25],[1,5,6,26],[1,2,27],[1,
2,7,28],[1,2,6,29],[1,2,30],[1,2,4,31],[1,2,32],[1,5,33],[1,6,34],[1,4,6,35],[
1,2,36],[1,2,6,37],[1,2,7,38],[1,6,39],[1,5,6,40],[1,2,5,6,41],[1,4,5,6,42],[
1,6,43],[1,5,44],[1,6,45],[1,4,7,46],[1,5,7,47],[1,3,6,7,48],[1,6,7,49],[1,3,
5,7,50],[1,4,51],[1,6,7,52],[1,5,7,53],[1,3,8,54],[1,5,9,55],[1,2,9,56],[1,7,
8,57],[1,5,8,58],[1,6,9,59],[1,7,9,60],[1,4,10,61],[1,3,9,62],[1,7,10,63],[1,
64],[1,2,13,65],[1,2,5,11,21,66],[1,2,4,12,15,22,67],[1,2,4,11,31,68],[1,2,3,
13,17,69],[1,4,24,70],[1,2,4,13,15,31,71],[1,2,4,11,13,15,22,72],[1,2,6,11,20,
29,73],[1,2,3,11,16,17,74],[1,2,5,19,21,75],[1,2,6,20,34,76],[1,2,5,6,13,20,
21,41,77],[1,2,13,30,78],[1,2,4,5,6,15,20,21,42,79],[1,2,11,32,80],[1,2,7,13,
28,38,81],[1,2,4,15,32,82],[1,2,4,15,27,83],[1,2,13,16,84],[1,2,11,27,85],[1,
2,6,13,29,37,86],[1,2,13,27,87],[1,2,4,6,15,29,35,88],[1,2,13,32,89],[1,2,4,
15,24,31,90],[1,2,6,29,34,91],[1,4,5,6,14,40,42,92],[1,4,5,6,23,26,42,93],[1,
2,32,94],[1,4,5,6,12,35,42,95],[1,2,4,12,24,31,96],[1,2,27,97],[1,2,4,22,24,
31,98],[1,2,4,13,22,31,99],[1,2,5,6,11,37,41,100],[1,2,5,21,36,101],[1,2,5,6,
14,21,25,26,41,102],[1,2,13,36,103],[1,2,5,6,18,20,25,26,41,104],[1,2,3,5,7,
17,21,28,50,105],[1,2,6,20,36,106],[1,2,5,16,21,30,107],[1,2,4,7,15,28,30,
108],[1,2,4,15,30,109],[1,2,5,7,21,28,53,110],[1,2,5,21,27,111],[1,2,6,7,16,
20,28,112],[1,2,7,11,28,30,113],[1,2,6,7,20,38,49,114],[1,2,4,7,15,28,46,
115],[1,2,3,4,15,16,17,116],[1,2,6,16,20,30,117],[1,2,5,7,21,38,47,118],[1,2,
5,21,30,119],[1,2,4,6,15,20,27,120],[1,2,6,20,23,37,39,121],[1,2,3,6,17,20,30,
122],[1,2,6,13,20,27,123],[1,2,3,6,7,17,20,28,48,124],[1,2,6,7,20,28,52,125],[
1,2,5,6,21,25,37,40,126],[1,2,5,7,16,21,28,127],[1,2,4,5,15,21,27,128],[1,2,3,
5,17,21,30,129],[1,2,6,20,27,130],[1,2,6,20,30,131],[1,2,5,13,21,27,132],[1,4,
6,23,35,39,133],[1,3,5,7,14,47,50,134],[1,3,6,7,18,48,49,135],[1,5,14,19,33,
136],[1,2,6,13,29,32,137],[1,2,4,5,21,31,32,138],[1,2,5,6,20,37,39,40,41,
139],[1,2,6,29,32,140],[1,2,4,5,6,15,35,37,41,42,141],[1,2,5,21,44,142],[1,4,
5,6,18,23,35,40,42,143],[1,2,3,17,27,30,144],[1,2,32,36,145],[1,2,4,15,22,24,
31,146],[1,2,6,20,45,147],[1,2,4,6,15,29,32,148],[1,2,5,7,21,36,38,149],[1,2,
5,21,33,150],[1,2,7,27,28,30,151],[1,2,7,27,28,152],[1,2,6,20,43,153],[1,2,7,
27,28,30,154],[1,2,5,6,21,26,37,40,41,155],[1,2,6,18,29,37,39,156],[1,2,7,16,
27,28,157],[1,2,16,27,30,158],[1,2,5,7,21,28,30,159],[1,2,27,30,160],[1,2,6,
29,32,161],[1,2,5,6,20,21,27,162],[1,2,6,7,20,28,30,163],[1,2,4,31,36,164],[1,
2,4,5,6,21,22,29,41,42,165],[1,2,4,7,15,36,38,166],[1,2,7,32,38,167],[1,2,4,6,
20,31,32,168],[1,2,4,15,51,169],[1,2,4,7,31,38,46,170],[1,2,4,6,20,22,29,35,
37,171],[1,2,7,13,28,30,172],[1,2,6,7,20,36,38,173],[1,2,7,11,36,38,174],[1,2,
4,5,6,22,35,37,41,42,175],[1,2,5,6,26,29,39,40,41,176],[1,4,5,6,25,35,39,40,
42,177],[1,2,3,7,17,27,28,178],[1,3,5,7,19,50,53,179],[1,3,6,7,34,48,52,180],[
1,5,6,7,25,44,53,181],[1,2,5,6,30,36,41,182],[1,2,4,7,22,46,51,183],[1,2,4,6,
27,29,31,184],[1,2,7,32,36,38,185],[1,2,6,29,45,186],[1,2,4,22,27,32,187],[1,
4,5,6,42,43,188],[1,2,3,5,6,7,17,38,41,48,50,189],[1,4,5,6,42,51,190],[1,2,5,
6,7,28,38,41,47,49,191],[1,4,5,6,25,26,35,39,40,42,192],[1,5,6,7,26,43,52,
193],[1,2,5,6,16,36,41,194],[1,2,4,7,31,36,38,195],[1,2,32,196],[1,4,5,6,7,42,
46,52,53,197],[1,4,5,6,42,44,198],[1,2,4,31,51,199],[1,6,7,18,43,52,200],[1,2,
3,6,17,36,37,201],[1,5,6,26,34,45,202],[1,2,5,6,23,25,29,37,39,40,41,203],[1,
5,6,19,25,33,204],[1,2,6,7,30,37,38,205],[1,5,7,14,44,53,206],[1,4,7,12,46,51,
207],[1,2,6,7,16,37,38,208],[1,6,18,34,45,209],[1,3,5,6,7,25,47,48,49,50,
210],[1,2,6,7,28,36,37,211],[1,3,5,6,7,26,47,48,49,50,212],[1,6,7,34,43,49,
213],[1,3,5,7,33,44,50,214],[1,5,6,7,40,44,53,215],[1,6,7,45,49,52,216],[1,4,
6,7,35,46,51,217],[1,6,34,39,45,218],[1,3,6,7,43,45,48,219],[1,6,7,23,43,52,
220],[1,5,7,33,47,53,221],[1,5,7,19,44,47,222],[1,4,7,24,46,51,223],[1,8,9,10,
224],[1,5,9,19,225],[1,2,8,11,226],[1,4,9,12,227],[1,4,8,12,228],[1,4,10,12,
229],[1,5,10,14,230],[1,2,10,11,231],[1,6,9,34,232],[1,2,9,13,233],[1,5,9,14,
234],[1,5,8,19,58,235],[1,5,8,14,58,236],[1,2,9,11,56,237],[1,4,10,24,238],[1,
6,10,23,239],[1,5,10,19,240],[1,4,10,12,61,241],[1,2,7,9,38,56,60,242],[1,5,7,
8,53,57,58,243],[1,5,8,44,58,244],[1,2,3,9,17,56,62,245],[1,2,5,6,9,41,55,56,
59,246],[1,5,8,33,58,247],[1,3,5,7,8,50,54,57,58,248],[1,2,9,16,56,249],[1,2,
6,9,37,56,59,250],[1,2,9,36,56,251],[1,5,7,8,47,57,58,252],[1,6,9,18,253],[1,
3,5,7,9,50,55,60,62,254],[1,4,7,10,46,61,63,255],[1,4,10,51,61,256],[1,3,6,7,
9,48,59,60,62,257],[1,3,64,258],[1,2,3,13,17,65,69,259],[1,2,4,11,12,13,15,22,
67,72,260],[1,2,5,11,19,21,66,75,261],[1,2,4,11,12,24,31,68,96,262],[1,2,13,
16,65,84,263],[1,2,6,11,20,29,34,73,76,91,264],[1,2,4,11,13,15,22,31,65,71,72,
99,265],[1,2,11,32,80,94,266],[1,2,6,13,18,29,37,39,86,156,267],[1,2,11,27,85,
97,268],[1,2,5,6,13,14,18,20,21,25,26,41,77,102,104,269],[1,2,11,32,80,270],[
1,4,5,6,12,14,18,23,35,40,42,92,95,143,271],[1,2,4,13,15,30,31,71,78,109,
272],[1,2,4,11,13,15,22,32,72,80,82,89,273],[1,2,4,6,11,13,15,20,22,29,35,37,
72,73,86,88,171,274],[1,2,6,11,20,27,29,73,85,130,275],[1,2,4,11,13,15,22,27,
72,83,85,87,276],[1,2,5,11,21,27,66,85,111,277],[1,2,4,7,13,15,28,31,38,46,71,
81,115,170,278],[1,2,4,11,13,15,22,24,31,68,71,72,90,146,279],[1,2,4,5,6,11,
13,15,20,21,22,29,41,42,66,72,73,77,79,165,280],[1,2,3,5,7,17,19,21,28,50,53,
75,105,110,179,281],[1,2,5,11,21,33,66,150,282],[1,2,6,16,20,30,34,76,117,131,
283],[1,2,5,16,19,21,30,75,107,119,284],[1,2,5,6,11,14,21,25,26,37,40,41,66,
100,102,126,155,285],[1,2,3,6,7,17,20,28,34,48,52,76,124,125,180,286],[1,2,6,
11,20,29,32,73,80,161,287],[1,2,13,16,27,30,78,84,87,158,288],[1,2,4,11,13,15,
22,27,72,85,289],[1,2,4,15,27,30,83,109,160,290],[1,2,4,11,13,15,16,22,72,84,
291],[1,2,5,6,13,20,21,26,29,37,39,40,41,77,86,139,155,176,292],[1,2,4,11,13,
15,22,36,72,103,293],[1,2,13,36,65,103,294],[1,2,5,6,13,20,21,23,25,29,37,39,
40,41,77,86,121,126,203,295],[1,2,4,11,27,31,68,85,296],[1,2,3,7,13,17,27,28,
38,69,81,87,178,297],[1,2,4,13,15,31,36,71,103,164,298],[1,2,6,11,20,29,32,73,
80,140,299],[1,2,4,6,11,20,29,31,32,68,73,80,168,300],[1,2,4,6,11,13,15,20,22,
27,29,72,73,85,120,123,301],[1,2,3,4,13,15,16,17,31,69,71,84,116,302],[1,2,4,
11,31,32,68,80,303],[1,2,5,6,13,20,21,32,41,77,89,304],[1,2,4,7,15,27,28,46,
83,115,152,305],[1,2,5,6,13,16,20,21,30,41,77,78,84,107,117,306],[1,2,4,11,13,
15,22,24,31,68,72,98,99,146,307],[1,2,5,6,13,20,21,27,41,77,87,308],[1,2,6,13,
27,29,37,86,87,309],[1,2,4,6,13,15,29,31,32,37,71,86,89,148,310],[1,2,13,30,
32,78,89,311],[1,2,5,6,13,20,21,36,41,77,101,103,106,312],[1,2,13,32,36,89,
103,145,313],[1,2,5,6,13,20,21,36,41,77,103,314],[1,2,5,6,7,13,16,20,21,28,38,
41,77,81,84,112,127,315],[1,2,11,27,32,80,85,316],[1,2,13,32,36,89,103,317],[
1,2,5,6,11,20,21,27,29,66,73,85,162,318],[1,2,6,13,29,32,37,86,89,319],[1,2,3,
5,6,7,13,17,20,21,28,38,41,48,50,69,77,81,105,124,189,320],[1,2,5,11,21,32,66,
80,321],[1,2,3,4,11,13,15,16,17,22,69,72,74,84,116,322],[1,2,4,5,6,15,20,21,
30,42,79,109,119,131,323],[1,2,3,13,17,27,30,69,78,87,144,324],[1,2,4,11,13,
15,22,32,72,80,325],[1,2,7,13,16,27,28,38,81,84,87,157,326],[1,2,7,13,28,30,
38,65,78,81,172,327],[1,2,4,5,11,13,15,21,22,27,66,72,85,128,132,328],[1,2,4,
5,6,13,15,20,21,27,31,41,71,77,87,120,128,329],[1,2,5,6,7,13,20,21,28,38,41,
47,49,77,81,114,118,191,330],[1,2,5,6,13,20,21,30,41,77,78,331],[1,2,5,6,13,
20,21,27,41,65,77,87,123,132,332],[1,2,4,5,6,7,15,20,21,28,42,46,52,53,79,110,
115,125,197,333],[1,2,4,5,11,21,31,32,66,68,80,138,334],[1,2,6,13,29,32,37,65,
86,89,137,335],[1,2,3,5,6,13,17,20,21,30,41,69,77,78,122,129,336],[1,2,4,13,
15,16,31,71,84,337],[1,2,6,11,20,27,29,73,85,338],[1,2,7,13,28,32,38,81,89,
167,339],[1,2,4,7,11,13,15,22,28,30,38,72,78,81,108,113,340],[1,4,5,6,12,23,
25,26,35,39,40,42,93,95,133,177,192,341],[1,2,7,16,27,28,97,152,157,342],[1,2,
4,12,15,22,24,31,70,90,96,98,146,343],[1,2,3,17,27,30,97,144,160,344],[1,2,4,
7,11,13,15,22,28,36,38,72,81,103,166,174,345],[1,2,13,16,32,36,84,89,103,
346],[1,2,13,27,36,87,103,347],[1,2,5,6,7,13,20,21,28,30,41,53,77,110,119,163,
172,348],[1,2,4,5,6,15,20,21,42,51,79,169,190,349],[1,2,13,30,32,36,78,89,103,
350],[1,2,4,7,13,15,28,31,36,38,71,81,103,195,351],[1,2,4,11,27,31,32,68,80,
85,352],[1,2,6,7,13,28,29,36,37,38,81,86,103,211,353],[1,2,6,13,29,30,36,37,
78,86,103,354],[1,2,4,5,6,15,20,21,42,44,79,142,198,355],[1,2,3,6,13,17,29,36,
37,69,86,103,201,356],[1,2,4,13,15,31,51,71,169,199,357],[1,2,6,16,20,27,30,
117,130,131,158,160,358],[1,2,5,6,7,13,20,21,28,36,38,41,77,81,103,149,173,
359],[1,2,11,27,32,80,85,360],[1,2,4,5,6,15,20,21,42,43,79,153,188,361],[1,2,
3,4,5,6,7,15,16,17,20,21,28,30,42,50,79,105,107,108,112,116,122,362],[1,2,4,5,
6,15,20,21,33,42,79,150,363],[1,2,4,5,6,15,18,20,21,23,25,26,35,37,39,40,41,
42,79,93,104,121,141,143,155,192,364],[1,2,4,15,27,51,83,169,365],[1,2,4,15,
27,51,83,169,366],[1,2,13,27,30,36,78,87,103,367],[1,2,11,27,32,80,85,368],[1,
2,4,5,6,12,15,20,21,22,29,35,37,41,42,67,79,88,95,141,165,171,175,369],[1,2,5,
6,11,18,20,23,25,26,29,37,39,40,41,73,100,104,121,139,156,176,203,370],[1,2,6,
11,20,29,45,73,147,186,371],[1,2,4,7,13,15,28,30,31,46,71,108,109,115,172,
372],[1,2,5,6,13,20,21,30,36,41,77,78,103,182,373],[1,2,13,16,27,36,84,87,103,
374],[1,2,6,7,16,20,28,30,34,52,76,112,117,125,163,375],[1,2,5,6,7,13,20,21,
28,30,41,52,77,125,131,159,172,376],[1,2,4,5,6,11,13,15,20,21,22,29,35,37,41,
42,72,77,86,100,141,165,171,175,377],[1,2,6,7,11,20,28,29,30,52,73,113,125,
131,163,378],[1,2,5,6,13,20,21,41,43,77,153,379],[1,2,13,16,27,36,84,87,103,
380],[1,2,7,13,28,32,36,38,81,89,103,185,381],[1,2,3,5,7,17,19,21,28,30,50,75,
105,119,129,159,382],[1,2,4,13,15,30,31,36,71,78,103,383],[1,2,5,6,13,20,21,
27,34,41,76,77,123,130,162,384],[1,2,6,13,29,36,37,86,103,385],[1,2,4,13,15,
31,51,71,169,386],[1,2,6,11,20,27,29,32,73,80,85,387],[1,2,4,6,15,24,27,29,31,
35,83,88,90,184,388],[1,2,4,5,6,14,15,20,21,25,26,35,37,39,40,41,42,79,92,102,
126,139,141,177,192,389],[1,2,5,6,13,20,21,41,44,77,142,390],[1,2,4,7,11,13,
15,22,28,30,46,72,109,113,115,172,391],[1,2,5,6,13,20,21,41,45,77,147,392],[1,
2,3,5,7,17,21,27,28,50,53,105,110,111,152,178,393],[1,2,6,13,16,29,30,37,78,
84,86,394],[1,2,4,6,13,15,29,31,32,35,71,82,88,137,148,395],[1,2,4,11,13,15,
22,30,36,72,78,103,396],[1,2,4,11,13,15,22,27,32,72,80,85,397],[1,2,6,13,27,
29,32,37,86,87,89,398],[1,2,4,5,6,15,20,21,42,51,79,169,399],[1,2,5,6,13,16,
20,21,36,41,77,84,103,194,400],[1,2,6,13,16,29,36,37,84,86,103,401],[1,2,4,5,
6,7,15,20,21,36,38,42,47,79,101,118,166,173,402],[1,2,4,11,13,15,22,27,32,72,
80,85,187,403],[1,2,6,7,11,20,29,36,38,49,73,106,114,173,174,404],[1,2,4,5,6,
7,15,20,21,36,38,42,49,79,106,114,149,166,405],[1,2,3,4,5,6,7,15,16,17,20,21,
28,30,42,48,79,108,116,117,124,127,129,406],[1,2,6,7,13,16,28,29,37,38,81,84,
86,208,407],[1,2,4,5,6,15,20,21,24,31,32,42,79,82,90,138,168,408],[1,2,5,6,13,
20,21,27,32,41,77,87,89,409],[1,2,13,16,30,32,78,84,89,410],[1,2,4,5,6,13,15,
20,21,27,31,42,71,79,83,120,123,128,132,411],[1,2,4,5,6,15,20,21,27,34,42,76,
79,120,130,162,412],[1,2,5,6,13,19,20,21,27,41,75,77,111,132,162,413],[1,2,3,
13,17,32,36,69,89,103,414],[1,2,5,6,13,20,21,33,41,77,150,415],[1,2,7,13,27,
28,30,38,78,81,87,416],[1,2,3,6,7,17,20,28,30,34,48,76,122,124,131,163,417],[
1,2,3,6,7,11,16,17,20,28,29,30,48,73,74,112,113,117,122,124,418],[1,2,5,7,16,
21,27,28,30,53,107,110,111,151,157,419],[1,2,4,12,15,22,27,32,67,82,83,187,
420],[1,2,4,5,6,13,15,20,21,31,32,41,71,77,89,138,168,421],[1,2,4,11,13,15,22,
27,32,72,87,89,187,422],[1,2,4,5,6,15,20,21,42,45,79,147,423],[1,2,4,6,13,15,
27,29,31,37,71,86,87,184,424],[1,2,6,7,16,20,27,28,30,52,117,125,130,154,157,
425],[1,2,4,5,6,15,19,20,21,27,42,75,79,111,128,162,426],[1,2,3,6,7,17,20,27,
28,30,48,124,130,131,144,151,427],[1,2,4,5,6,7,15,20,21,28,30,42,46,79,109,
115,159,163,428],[1,2,5,16,21,27,30,107,111,119,158,160,429],[1,2,4,6,11,13,
15,20,22,29,32,72,73,80,137,148,430],[1,2,5,7,11,21,28,30,53,66,110,113,119,
159,431],[1,2,5,6,13,16,20,21,36,41,77,84,103,432],[1,2,4,11,13,15,22,51,72,
169,433],[1,2,5,11,21,44,66,142,434],[1,2,4,7,15,27,28,30,46,83,109,115,151,
154,435],[1,2,6,7,13,28,29,30,37,38,78,81,86,205,436],[1,2,7,13,16,28,32,38,
81,84,89,437],[1,2,3,6,7,17,20,27,28,48,52,124,125,130,152,178,438],[1,2,4,12,
13,15,22,24,31,67,71,90,96,98,99,146,439],[1,2,5,7,11,21,36,38,47,66,101,118,
149,174,440],[1,2,3,5,7,17,21,27,28,30,50,105,111,119,144,154,441],[1,2,4,6,
11,20,27,29,31,68,73,85,184,442],[1,2,6,11,20,29,43,73,153,443],[1,2,3,5,7,11,
16,17,21,28,30,50,66,74,105,107,113,127,129,444],[1,2,7,13,27,28,36,38,81,87,
103,445],[1,2,5,7,16,19,21,28,30,53,75,107,110,127,159,446],[1,2,3,6,7,17,20,
28,43,45,48,124,147,153,219,447],[1,2,4,6,15,29,32,34,35,88,91,140,148,161,
448],[1,2,6,20,23,30,37,39,43,121,131,153,449],[1,2,5,6,13,20,21,27,87,97,111,
123,130,132,162,450],[1,2,5,6,7,16,20,21,27,28,30,107,117,157,159,160,162,163,
451],[1,2,4,15,30,32,51,82,109,169,452],[1,2,4,7,15,28,32,46,51,82,115,169,
453],[1,2,4,15,24,31,51,90,199,454],[1,2,6,13,29,37,45,86,186,455],[1,2,4,6,
15,29,35,45,88,186,456],[1,2,3,7,11,16,17,27,28,30,74,85,113,144,157,158,178,
457],[1,2,6,7,13,20,27,28,30,78,123,131,154,160,163,172,458],[1,2,5,6,7,16,21,
25,30,37,38,40,47,107,118,126,205,208,459],[1,2,3,5,6,7,17,18,20,25,26,28,38,
41,47,48,49,50,104,114,124,135,189,191,210,212,460],[1,2,5,6,18,20,25,26,27,
41,45,104,130,147,461],[1,2,5,6,14,19,21,25,26,33,41,75,102,136,150,204,462],[
1,2,4,11,31,51,68,199,463],[1,2,5,6,7,14,21,25,26,28,41,44,53,102,110,142,181,
206,464],[1,2,6,16,20,30,43,45,117,147,153,465],[1,2,4,15,24,30,31,51,90,109,
169,466],[1,2,3,5,6,7,17,21,25,28,36,37,40,50,101,105,126,201,211,467],[1,2,5,
6,7,21,25,28,37,40,44,53,110,126,142,215,468],[1,2,5,21,27,36,44,101,111,142,
469],[1,2,4,5,6,15,20,21,27,83,97,111,120,128,130,162,470],[1,2,11,32,80,196,
471],[1,2,5,6,18,20,25,26,34,41,45,76,104,147,202,209,472],[1,2,6,20,23,27,37,
39,45,121,130,147,473],[1,2,4,12,15,22,30,51,67,109,169,474],[1,2,3,5,6,7,17,
20,21,27,28,30,48,50,105,124,144,152,159,162,163,475],[1,2,3,6,7,17,20,28,43,
45,48,124,147,153,476],[1,2,6,7,13,16,20,27,28,30,84,112,117,123,157,158,172,
477],[1,2,4,6,7,15,20,27,28,30,108,109,120,131,151,160,163,478],[1,2,4,6,7,15,
28,29,35,46,51,88,115,169,217,479],[1,2,3,5,6,17,20,21,27,30,119,122,129,131,
144,160,162,480],[1,2,6,20,23,34,37,39,45,76,121,147,218,481],[1,2,6,13,29,32,
34,37,86,91,137,140,161,482],[1,2,5,6,7,16,20,21,27,28,30,107,112,131,154,158,
159,162,483],[1,2,5,19,21,36,44,75,101,142,484],[1,2,4,6,15,29,32,82,94,140,
148,161,485],[1,2,3,5,6,7,14,17,21,25,26,28,38,41,47,48,49,50,102,105,118,134,
189,191,210,212,486],[1,2,4,5,6,18,20,22,23,25,29,35,37,39,40,41,42,121,133,
139,143,156,171,175,177,203,487],[1,2,5,6,18,20,25,26,30,41,43,104,131,153,
488],[1,2,4,5,6,14,21,22,23,25,26,29,35,37,39,40,41,42,92,93,102,155,165,175,
176,192,203,489],[1,2,7,11,27,28,30,85,113,151,152,154,160,490],[1,2,4,5,6,15,
18,23,25,26,29,35,37,39,40,41,42,88,133,141,143,156,176,177,192,203,491],[1,2,
6,7,20,28,36,45,52,106,125,147,492],[1,2,3,5,7,17,21,28,33,44,50,105,142,150,
493],[1,2,4,6,7,15,20,27,28,30,46,52,108,115,120,125,152,154,163,494],[1,2,6,
20,27,36,43,106,130,153,495],[1,2,5,7,21,28,33,38,47,53,110,118,150,221,496],[
1,2,6,7,20,28,38,45,49,52,114,125,147,216,497],[1,2,5,21,30,33,36,101,119,150,
498],[1,2,3,5,7,13,17,21,27,28,30,50,69,105,129,132,144,172,178,499],[1,2,5,6,
7,18,20,25,26,28,41,43,52,104,125,153,193,200,500],[1,2,3,5,7,17,21,28,33,44,
50,105,142,150,214,501],[1,2,4,5,7,15,21,27,28,30,108,109,119,128,154,159,160,
502],[1,2,6,7,20,34,38,43,49,76,114,153,213,503],[1,2,5,6,14,21,25,26,27,33,
41,102,111,150,504],[1,2,5,6,14,21,25,26,30,41,44,102,119,142,505],[1,2,6,7,
20,30,38,45,49,114,131,147,506],[1,2,5,7,19,21,38,44,47,75,118,142,222,507],[
1,2,5,6,21,25,27,33,37,40,111,126,150,508],[1,2,5,7,16,21,27,28,30,111,127,
152,154,157,158,159,509],[1,2,5,7,21,28,33,36,53,101,110,150,510],[1,2,3,4,5,
15,16,17,21,27,30,107,109,116,128,129,144,158,511],[1,2,6,13,29,32,89,94,137,
140,161,512],[1,2,3,4,7,15,16,17,27,28,30,83,108,116,144,157,158,178,513],[1,
2,6,7,16,20,23,30,37,38,39,49,114,117,121,205,208,514],[1,2,6,20,30,36,45,106,
131,147,515],[1,2,6,7,20,23,28,37,39,43,52,121,125,153,220,516],[1,2,5,6,14,
16,21,25,26,30,36,41,101,102,107,182,194,517],[1,2,4,6,15,29,30,35,51,88,109,
169,518],[1,2,5,6,21,25,30,37,40,44,119,126,142,519],[1,2,6,7,20,27,38,43,49,
114,130,153,520],[1,2,6,7,13,20,27,28,30,38,52,81,123,125,151,152,163,172,
521],[1,2,3,5,6,7,17,20,21,27,28,30,50,52,105,122,125,151,159,162,178,522],[1,
2,7,13,27,28,30,87,151,152,154,160,172,523],[1,2,3,6,7,13,17,20,27,28,30,48,
69,122,123,124,144,172,178,524],[1,2,13,32,89,196,525],[1,2,4,7,12,15,22,28,
46,51,67,115,169,183,207,526],[1,2,7,16,27,28,30,97,151,154,157,158,160,527],[
1,2,3,4,5,7,15,16,17,21,27,28,46,50,105,115,116,127,128,157,178,528],[1,2,4,7,
15,24,31,36,38,46,90,164,166,170,195,529],[1,2,4,7,11,31,36,38,46,68,164,170,
174,195,530],[1,2,5,6,7,16,20,21,27,28,30,117,119,127,151,158,162,163,531],[1,
2,4,7,15,32,36,38,82,145,166,167,185,532],[1,2,5,7,21,30,33,38,47,118,119,150,
533],[1,2,5,16,21,30,33,44,107,142,150,534],[1,2,7,11,32,36,38,80,145,167,174,
185,535],[1,2,3,5,7,17,21,27,28,30,111,129,144,151,159,160,178,536],[1,2,6,7,
16,20,27,28,30,112,130,151,152,157,158,163,537],[1,2,3,7,17,27,28,30,97,144,
151,152,154,178,538],[1,2,3,4,6,7,15,16,17,20,27,28,46,48,112,115,116,120,124,
157,178,539],[1,2,5,6,16,18,20,25,26,30,36,41,104,106,117,182,194,540],[1,2,4,
7,15,24,28,31,46,51,90,115,169,223,541],[1,2,3,6,7,17,20,23,28,36,37,39,48,
106,121,124,201,211,542],[1,2,3,4,6,15,16,17,20,27,30,109,116,117,120,122,144,
158,543],[1,2,5,7,21,27,38,44,47,111,118,142,544],[1,2,6,20,34,36,43,76,106,
153,545],[1,2,5,7,13,21,27,28,30,78,119,132,151,159,160,172,546],[1,2,5,16,21,
30,33,44,107,142,150,547],[1,2,4,15,32,82,196,548],[1,2,5,7,13,21,27,28,30,38,
53,81,110,132,152,154,159,172,549],[1,2,5,7,13,16,21,27,28,30,84,107,127,132,
157,158,172,550],[1,2,3,5,6,7,17,20,21,27,28,30,48,53,110,124,129,154,162,163,
178,551],[1,2,6,16,20,30,43,45,117,147,153,552],[1,2,5,6,19,21,25,33,37,40,75,
126,150,204,553],[1,2,4,5,7,15,21,27,28,30,46,53,108,110,115,128,151,152,159,
554],[1,2,5,6,7,16,20,21,27,28,52,53,110,112,125,127,152,157,162,555],[1,2,3,
6,7,17,20,27,28,30,122,130,144,154,160,163,178,556],[1,4,5,6,18,23,35,40,42,
44,51,143,190,198,557],[1,2,4,6,7,20,31,32,36,38,46,49,114,167,168,170,173,
185,195,558],[1,2,4,5,6,7,22,35,37,41,42,46,51,52,53,175,183,190,197,217,
559],[1,2,4,7,22,24,31,38,46,51,98,170,183,199,223,560],[1,2,5,6,26,29,32,39,
40,41,45,140,176,186,561],[1,2,3,5,6,7,11,16,17,36,37,38,41,48,50,74,100,174,
189,194,201,208,562],[1,2,4,5,7,21,31,32,36,38,101,138,145,149,164,185,195,
563],[1,4,5,6,25,35,39,40,42,43,51,177,188,190,564],[1,2,4,5,6,7,15,28,30,35,
36,37,38,41,42,47,49,108,141,166,182,191,205,211,565],[1,4,5,6,7,14,40,42,44,
46,52,53,92,197,198,206,215,566],[1,2,6,7,29,32,38,161,167,196,567],[1,4,5,6,
7,18,23,35,40,42,43,46,52,53,143,188,197,200,220,568],[1,4,5,6,7,12,35,42,46,
51,52,53,95,190,197,207,217,569],[1,2,4,6,13,20,22,27,29,31,32,35,37,99,123,
137,168,171,184,187,570],[1,4,5,6,23,26,42,44,51,93,190,198,571],[1,2,4,5,7,
21,31,32,36,38,46,47,118,138,149,167,170,185,195,572],[1,2,5,6,7,16,20,28,36,
37,38,39,40,41,47,49,112,139,173,191,194,208,211,573],[1,4,5,6,14,40,42,43,51,
92,188,190,574],[1,2,6,29,32,36,145,161,196,575],[1,4,5,6,7,25,35,39,40,42,44,
46,52,53,177,181,197,198,215,576],[1,2,4,5,6,15,21,22,24,27,29,31,32,41,42,
128,138,146,148,165,184,187,577],[1,2,5,6,26,29,34,39,40,41,45,91,176,186,202,
218,578],[1,4,5,6,12,35,42,43,44,95,188,198,579],[1,2,6,18,29,34,37,39,45,91,
156,186,209,218,580],[1,2,7,32,38,94,167,196,581],[1,2,4,12,24,31,36,51,96,
164,199,582],[1,2,4,5,6,22,35,37,41,42,43,44,175,188,198,583],[1,2,4,6,15,20,
22,24,27,29,31,32,35,37,120,146,148,168,171,184,187,584],[1,2,4,5,6,13,21,22,
27,29,31,32,41,42,99,132,137,138,165,184,187,585],[1,2,4,7,12,24,31,38,46,51,
96,170,199,207,223,586],[1,2,5,6,7,16,21,26,28,36,37,38,40,41,47,49,127,149,
155,191,194,208,211,587],[1,2,5,6,7,11,28,30,36,37,38,41,47,49,100,113,174,
182,191,205,211,588],[1,2,32,36,94,145,196,589],[1,2,4,6,7,20,31,32,36,38,106,
145,164,168,173,185,195,590],[1,2,4,22,24,31,36,51,98,164,199,591],[1,2,3,5,6,
7,17,20,30,36,37,38,39,40,41,48,50,122,139,173,182,189,201,205,592],[1,2,6,18,
29,32,37,39,45,140,156,186,593],[1,2,3,5,6,7,17,21,26,30,36,37,38,40,41,48,50,
129,149,155,182,189,201,205,594],[1,4,5,6,7,23,26,42,43,46,52,53,93,188,193,
197,220,595],[1,2,3,4,5,6,7,15,16,17,35,36,37,38,41,42,48,50,116,141,166,189,
194,201,208,596],[1,2,4,5,6,18,20,21,22,23,25,26,29,35,37,39,40,41,42,104,126,
139,143,155,156,165,171,175,176,177,192,203,597],[1,3,5,7,14,19,33,44,47,50,
53,134,136,179,206,214,221,222,598],[1,3,6,7,18,34,43,45,48,49,52,135,180,200,
209,213,216,219,599],[1,3,5,6,7,26,34,43,45,47,48,49,50,52,180,193,202,212,
213,216,219,600],[1,3,5,6,7,19,25,33,44,47,48,49,50,53,179,181,204,210,214,
221,222,601],[1,5,8,9,10,55,58,224,602],[1,3,8,9,10,54,62,224,603],[1,7,8,9,
10,57,60,63,224,604],[1,9,64,605],[1,8,64,606],[1,10,64,607],[1,5,9,14,19,33,
55,136,225,608],[1,2,3,8,11,16,17,54,74,226,609],[1,6,9,18,34,45,59,209,232,
610],[1,2,5,9,13,21,27,55,132,233,611],[1,2,6,9,13,20,27,59,123,233,612],[1,2,
6,9,20,34,56,76,232,613],[1,2,7,8,11,28,30,57,113,226,614],[1,2,5,8,11,21,58,
66,226,615],[1,5,6,9,19,25,33,59,204,225,616],[1,2,5,9,19,21,56,75,225,617],[
1,2,9,13,56,65,233,618],[1,5,6,9,26,34,45,55,202,232,619],[1,5,9,14,19,33,55,
136,234,620],[1,2,5,6,9,11,37,41,55,56,59,100,237,246,250,621],[1,3,5,7,8,19,
50,53,54,57,58,179,235,243,248,622],[1,3,5,7,8,14,47,50,54,57,58,134,236,248,
252,623],[1,2,4,9,12,24,31,56,96,227,624],[1,2,5,6,8,11,37,41,58,100,226,
625],[1,2,4,10,11,31,61,68,231,626],[1,4,5,6,8,12,35,42,58,95,228,627],[1,2,9,
27,56,97,628],[1,2,7,8,11,36,38,57,174,226,629],[1,4,5,6,10,14,40,42,61,92,
230,630],[1,2,7,9,13,28,30,60,172,233,631],[1,2,4,9,13,22,31,56,99,233,632],[
1,3,6,7,9,34,48,52,62,180,232,633],[1,2,4,10,22,24,31,61,98,238,634],[1,6,9,
34,39,45,59,218,232,635],[1,6,7,9,34,43,49,60,213,232,636],[1,2,6,9,29,34,56,
91,232,637],[1,2,6,9,13,29,32,59,137,233,638],[1,4,5,6,10,23,26,42,61,93,239,
639],[1,3,5,7,9,19,50,53,62,179,225,640],[1,2,4,10,12,15,22,61,67,229,641],[1,
2,3,9,13,17,62,69,233,642],[1,2,9,32,56,94,643],[1,5,7,9,19,44,47,60,222,225,
644],[1,6,9,18,34,45,59,209,253,645],[1,4,7,8,12,46,51,57,207,228,646],[1,5,8,
14,19,33,58,136,235,236,247,647],[1,2,3,5,6,7,9,17,38,41,48,50,55,56,59,60,62,
189,242,245,246,254,257,648],[1,2,3,6,9,17,36,37,56,59,62,201,245,250,251,
649],[1,2,3,9,11,16,17,56,62,74,237,245,249,650],[1,3,6,7,9,18,48,49,62,135,
253,651],[1,6,7,10,23,43,52,63,220,239,652],[1,5,7,8,33,47,53,57,58,221,243,
247,252,653],[1,2,7,10,11,36,38,63,174,231,654],[1,6,7,9,18,43,52,60,200,253,
655],[1,3,5,7,9,14,47,50,62,134,234,656],[1,4,10,24,61,70,238,657],[1,2,5,6,9,
16,36,41,55,56,59,194,246,249,251,658],[1,5,7,10,14,44,53,63,206,230,659],[1,
2,6,7,9,16,37,38,56,59,60,208,242,249,250,660],[1,5,7,9,14,44,53,60,206,234,
661],[1,4,6,10,23,35,39,61,133,239,662],[1,5,7,8,19,44,47,57,58,222,235,244,
252,663],[1,2,7,9,11,36,38,56,60,174,237,242,251,664],[1,3,5,7,8,33,44,50,54,
57,58,214,244,247,248,665],[1,5,7,8,14,44,53,57,58,206,236,243,244,666],[1,4,
7,9,12,46,51,60,207,227,667],[1,4,7,10,24,46,51,63,223,238,668],[1,4,7,10,12,
46,51,63,207,229,669],[1,4,7,10,12,46,51,61,63,207,241,255,256,670],[1,5,7,10,
19,44,47,63,222,240,671],[1,2,4,11,12,13,15,22,24,31,65,67,68,71,72,90,96,98,
99,146,260,265,279,307,439,672],[1,2,4,5,6,11,12,13,15,20,21,22,29,35,37,41,
42,66,67,72,73,77,79,86,88,95,100,141,165,171,175,260,274,280,369,377,673],[1,
2,3,4,11,13,15,16,17,22,31,65,69,71,72,74,84,99,116,259,263,265,302,322,674],[
1,2,4,6,11,20,29,31,32,68,73,80,161,168,270,287,300,675],[1,2,4,11,12,13,15,
22,24,31,67,68,70,71,72,90,96,98,99,146,262,279,307,343,439,676],[1,2,3,5,6,
13,14,17,18,20,21,25,26,30,41,69,77,78,102,104,122,129,269,331,336,677],[1,2,
6,13,18,29,32,37,39,65,86,89,137,156,267,319,335,678],[1,2,4,5,11,12,21,24,31,
32,66,68,80,96,138,262,303,334,679],[1,2,5,6,13,14,18,20,21,25,26,27,41,65,77,
87,102,104,123,132,269,308,332,680],[1,2,4,5,11,12,13,15,21,22,27,66,67,72,85,
128,132,260,289,328,681],[1,2,3,5,6,7,13,14,17,18,20,21,25,26,28,38,41,47,48,
49,50,69,77,81,102,104,105,114,118,124,134,135,189,191,210,212,269,320,330,
460,486,682],[1,2,4,5,11,19,21,31,32,66,68,75,80,138,261,321,334,683],[1,2,3,
4,11,12,13,15,16,17,22,67,69,72,74,84,116,260,291,322,684],[1,2,4,5,6,11,13,
15,20,21,22,27,29,34,41,42,66,72,73,76,77,79,85,91,120,123,130,162,165,264,
275,280,301,318,384,412,685],[1,2,4,7,11,13,15,22,28,30,31,38,46,65,71,72,78,
81,99,108,109,113,115,170,172,265,272,278,327,340,372,391,686],[1,2,4,5,6,11,
13,15,20,21,22,29,32,41,42,66,72,73,77,79,80,140,165,280,299,321,325,687],[1,
2,4,6,11,13,15,20,22,29,31,32,35,37,65,71,72,73,80,82,86,88,89,99,137,148,171,
265,273,274,310,335,395,430,688],[1,2,4,11,12,13,15,22,27,32,67,72,80,82,83,
85,87,89,187,260,273,276,403,420,422,689],[1,2,4,11,13,15,22,31,36,65,71,72,
99,103,164,265,293,294,298,690],[1,2,4,5,6,11,13,15,19,20,21,22,27,29,41,42,
66,72,73,75,77,79,85,111,128,132,162,165,261,277,280,318,328,413,426,691],[1,
2,4,5,6,11,13,15,20,21,22,27,29,41,42,66,72,73,77,79,85,111,165,277,280,289,
338,692],[1,2,4,5,6,11,13,15,20,21,22,24,29,31,32,41,42,66,68,71,72,73,77,79,
80,82,89,90,138,146,165,168,273,279,280,300,334,408,421,693],[1,2,4,6,11,13,
15,20,22,24,27,29,31,35,37,68,71,72,73,83,85,86,87,88,90,146,171,184,274,276,
279,388,424,442,694],[1,2,4,5,6,11,13,15,20,21,22,27,29,31,41,42,65,66,71,72,
73,77,79,83,85,87,99,120,123,128,132,165,265,276,280,301,328,329,332,411,
695],[1,2,4,11,13,15,16,22,31,65,71,72,84,99,263,265,291,337,696],[1,2,3,5,7,
11,16,17,19,21,28,30,50,53,66,74,75,105,107,110,113,119,127,129,159,179,261,
281,284,382,431,444,446,697],[1,2,4,11,27,31,32,68,80,85,270,352,360,698],[1,
2,3,6,7,11,16,17,20,28,29,30,34,48,52,73,74,76,91,112,113,117,122,124,125,131,
163,180,264,283,286,375,378,417,418,699],[1,2,5,6,13,19,20,21,27,34,41,65,75,
76,77,87,97,111,123,130,132,162,332,384,413,450,700],[1,2,3,6,13,17,18,29,36,
37,39,69,86,103,156,201,267,356,385,701],[1,2,5,6,11,14,19,21,25,26,33,37,40,
41,66,75,100,102,126,136,150,155,204,261,282,285,462,553,702],[1,2,6,13,29,32,
34,37,65,86,89,91,94,137,140,161,335,482,512,703],[1,2,4,7,11,13,15,22,27,28,
30,46,72,83,85,87,109,113,115,151,152,154,160,172,276,290,305,391,435,490,523,
704],[1,2,6,7,13,28,29,30,32,37,38,65,78,81,86,89,137,167,172,205,311,327,335,
339,436,705],[1,2,4,6,11,20,27,29,31,32,34,68,73,76,80,85,91,168,184,264,300,
338,387,442,706],[1,2,5,6,7,13,14,16,18,20,21,25,26,28,36,38,41,77,81,84,102,
103,104,112,127,149,173,269,314,315,359,432,707],[1,2,4,5,6,11,13,15,18,20,21,
22,23,25,26,29,35,37,39,40,41,42,72,73,77,86,88,100,104,121,126,133,139,141,
143,155,156,165,171,175,176,177,192,203,267,274,292,295,370,377,487,491,597,
708],[1,2,4,11,13,15,22,24,30,31,36,68,71,72,78,90,103,109,146,164,272,279,
298,383,396,709],[1,2,4,6,13,15,18,27,29,31,32,37,39,71,86,87,89,148,156,184,
267,309,310,398,424,710],[1,2,5,6,7,13,16,20,21,23,25,28,29,30,37,38,39,40,41,
47,49,77,78,81,84,86,107,114,117,118,121,126,191,203,205,208,295,306,330,407,
436,459,514,711],[1,2,4,5,11,21,27,31,32,66,68,80,85,111,138,277,321,334,352,
368,712],[1,2,4,5,6,11,13,15,20,21,22,29,41,42,43,66,72,73,77,79,153,165,188,
280,361,379,443,713],[1,2,4,5,6,11,13,14,15,18,20,21,22,23,25,26,29,35,37,39,
40,41,42,66,72,73,77,79,86,92,93,100,102,104,121,126,139,141,143,155,156,165,
171,175,176,177,192,203,269,280,285,292,295,364,370,377,389,489,597,714],[1,2,
4,5,6,11,13,15,20,21,22,27,29,35,37,66,72,73,85,86,88,128,132,162,171,274,289,
318,328,338,715],[1,2,4,11,13,15,22,27,32,72,80,83,85,87,276,289,316,325,360,
716],[1,2,4,11,13,15,22,30,32,36,72,78,80,82,89,103,273,311,317,350,396,717],[
1,2,3,4,11,13,15,16,17,22,24,31,68,69,71,72,74,84,90,116,146,279,291,302,322,
337,718],[1,2,4,7,11,12,13,15,22,28,30,36,38,67,72,78,81,103,108,113,166,174,
260,293,340,345,396,719],[1,2,5,6,13,14,16,18,20,21,25,26,30,36,41,77,78,84,
101,102,103,104,106,107,117,182,194,269,306,312,373,400,517,540,720],[1,2,4,5,
6,7,11,13,15,20,21,22,28,29,36,38,41,42,47,49,66,72,73,77,79,81,101,103,106,
114,118,149,165,166,173,174,191,280,312,330,345,359,402,404,405,440,721],[1,2,
4,6,11,12,20,24,27,29,31,32,68,73,80,85,96,168,184,262,296,300,352,442,722],[
1,2,3,4,11,13,15,16,17,22,32,36,69,72,74,80,82,84,89,103,116,273,293,322,346,
414,723],[1,2,4,7,11,13,15,22,24,28,30,31,36,38,68,71,72,78,81,90,103,108,113,
146,195,279,293,340,351,383,724],[1,2,3,5,6,13,17,20,21,30,32,36,41,69,77,78,
89,101,103,106,122,129,304,312,336,350,414,725],[1,2,5,6,13,20,21,27,36,41,65,
77,87,101,103,106,123,132,294,312,314,332,347,726],[1,2,3,4,6,11,13,15,16,17,
20,22,29,35,36,37,69,72,73,74,84,86,88,103,116,171,201,274,293,322,356,401,
727],[1,2,4,11,13,15,22,27,51,72,83,85,87,169,276,365,366,433,728],[1,2,4,6,
13,15,29,30,31,32,36,37,71,78,86,89,103,145,148,310,311,313,354,383,729],[1,2,
4,6,11,13,15,20,22,27,29,32,72,73,80,82,85,89,120,123,273,289,301,360,387,
730],[1,2,4,5,11,21,31,32,66,68,80,94,138,266,270,303,321,334,731],[1,2,4,11,
13,15,22,24,27,31,32,68,71,72,80,85,90,146,187,279,296,303,352,403,732],[1,2,
4,6,11,13,15,20,22,27,29,32,35,37,72,73,86,87,88,89,171,187,274,309,319,398,
422,733],[1,2,4,6,11,13,15,20,22,27,29,32,35,37,72,73,80,85,86,88,130,140,171,
274,275,299,387,397,734],[1,2,3,5,6,7,13,17,20,21,23,25,28,29,36,37,38,39,40,
41,48,50,69,77,81,86,101,103,105,106,121,124,126,189,201,203,211,295,312,320,
353,356,467,542,735],[1,2,4,6,11,13,15,20,22,27,29,32,35,37,72,73,80,85,86,88,
120,123,161,171,274,287,301,325,387,736],[1,2,4,5,6,13,15,20,21,27,30,31,36,
41,71,77,78,87,101,103,106,120,128,312,329,331,367,383,737],[1,2,4,7,11,13,15,
16,22,28,30,32,38,72,78,80,81,82,84,89,108,113,273,291,340,410,437,738],[1,2,
4,7,11,13,15,22,24,28,31,36,38,46,68,71,72,81,90,103,115,146,164,166,170,174,
195,278,279,298,345,351,529,530,739],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,
41,42,46,52,53,66,72,73,77,79,109,110,113,115,119,125,131,159,163,165,172,197,
280,323,333,348,376,378,391,428,431,740],[1,2,4,7,11,13,15,22,28,32,36,38,72,
80,81,82,89,103,145,166,167,174,185,273,313,339,345,381,532,535,741],[1,2,4,6,
11,12,13,15,20,22,27,29,32,67,72,73,80,85,120,123,137,148,260,301,325,397,430,
742],[1,2,4,6,11,13,15,20,22,29,32,72,73,80,82,89,94,137,140,148,161,266,273,
287,299,430,485,512,743],[1,2,4,5,11,13,15,21,22,24,27,31,32,66,68,71,72,80,
85,90,128,132,138,146,279,325,328,334,352,744],[1,2,3,4,7,11,13,15,16,17,22,
27,28,30,38,69,72,74,78,81,83,84,85,87,108,113,116,144,157,158,178,276,288,
297,322,324,326,340,457,513,745],[1,2,5,6,7,13,16,20,21,23,25,28,29,30,37,38,
39,40,41,77,78,81,84,86,112,121,126,127,203,205,295,315,331,394,436,746],[1,2,
5,6,13,20,21,23,25,27,29,32,37,39,40,41,65,77,86,87,89,121,123,126,132,137,
203,295,304,332,335,398,747],[1,2,4,5,6,13,15,20,21,23,25,27,29,31,37,39,40,
41,71,77,86,87,120,121,126,128,184,203,295,308,309,329,424,748],[1,2,4,5,11,
13,15,21,22,27,32,66,72,80,82,85,89,128,132,273,321,325,328,368,749],[1,2,4,5,
6,11,20,21,27,29,31,32,66,68,73,80,85,138,161,162,184,287,316,318,334,442,
750],[1,2,4,5,6,13,14,15,18,20,21,25,26,27,31,32,41,71,77,87,89,102,104,120,
128,138,168,269,304,329,409,421,751],[1,2,5,6,13,20,21,26,27,29,32,37,39,40,
41,65,77,86,87,89,123,132,137,139,155,176,292,309,332,335,409,752],[1,2,6,13,
16,29,32,36,37,65,84,86,89,103,137,263,294,335,346,401,753],[1,2,4,11,13,15,
16,22,27,36,72,83,84,85,87,103,276,291,293,374,380,754],[1,2,4,11,13,15,22,27,
31,32,65,71,72,80,85,99,187,265,289,325,397,403,755],[1,2,4,5,11,13,15,21,22,
24,27,31,32,66,68,72,80,85,98,99,128,132,138,146,296,307,328,334,397,756],[1,
2,5,6,7,13,16,20,21,27,28,30,38,41,65,77,78,81,84,87,107,112,117,123,127,132,
157,158,172,263,288,306,315,326,327,332,477,550,757],[1,2,6,13,29,32,36,37,65,
86,89,103,137,145,294,313,317,335,385,758],[1,2,3,4,5,6,7,13,15,16,17,20,21,
27,28,31,38,41,46,48,50,69,71,77,81,84,87,105,112,115,116,120,124,127,128,157,
170,178,189,278,297,302,315,320,326,329,528,539,759],[1,2,3,5,6,13,17,20,21,
23,25,29,30,36,37,39,40,41,69,77,78,86,103,121,122,126,129,201,203,295,314,
336,354,356,760],[1,2,4,5,6,11,13,15,20,21,22,29,33,41,42,66,72,73,77,79,150,
165,280,282,363,415,761],[1,2,4,6,7,11,13,15,16,20,22,28,29,30,35,37,38,72,73,
78,81,84,86,88,108,113,171,208,274,291,340,394,407,762],[1,2,4,6,11,13,15,20,
22,24,27,29,31,68,71,72,73,85,90,120,123,146,184,279,289,296,301,442,763],[1,
2,4,5,6,11,13,15,20,21,22,29,30,36,41,42,66,72,73,77,78,79,103,165,182,280,
314,331,373,396,764],[1,2,4,5,6,7,13,15,20,21,27,28,31,36,38,41,47,49,71,77,
81,87,103,114,118,120,128,191,195,314,329,330,351,445,765],[1,2,4,6,11,13,15,
20,22,24,29,31,32,68,72,73,80,98,99,137,146,148,168,300,303,307,325,430,766],[
1,2,5,6,7,13,16,20,21,28,32,38,41,47,49,77,81,84,89,112,114,118,127,167,191,
304,315,330,339,437,767],[1,2,5,6,7,13,20,21,27,28,30,38,41,47,49,65,77,78,81,
87,114,118,123,132,172,191,327,330,331,332,416,768],[1,2,3,6,13,17,29,32,36,
37,65,69,86,89,103,137,201,259,294,335,356,414,769],[1,2,5,6,7,13,16,20,21,27,
28,36,38,41,77,81,84,87,101,103,106,112,127,308,312,315,380,445,770],[1,2,4,6,
11,20,27,29,31,32,68,73,80,85,94,168,266,300,316,352,387,771],[1,2,4,6,13,15,
16,29,30,31,32,37,71,78,84,86,89,109,148,272,310,337,394,410,772],[1,2,4,6,7,
13,15,16,28,29,31,32,37,38,46,71,81,84,86,89,115,148,170,208,278,310,337,407,
437,773],[1,2,4,5,6,13,15,20,21,26,29,31,32,37,39,40,41,71,77,86,89,138,139,
148,155,168,176,292,304,310,319,421,774],[1,2,4,5,6,11,13,15,20,21,22,27,29,
66,72,73,83,85,87,97,111,120,123,128,130,132,162,268,275,276,277,301,318,328,
450,470,775],[1,2,4,6,11,13,15,20,22,29,32,34,35,37,72,73,76,80,86,88,91,137,
140,148,161,171,264,274,287,299,430,448,482,776],[1,2,3,5,6,7,13,17,20,21,27,
28,30,38,41,48,50,65,69,77,78,81,87,105,122,123,124,129,132,144,172,178,189,
259,297,320,324,327,332,336,499,524,777],[1,2,3,5,6,7,13,17,20,21,27,28,30,38,
41,48,50,69,77,78,81,87,105,124,144,189,308,320,324,331,416,778],[1,2,4,11,13,
15,22,27,32,72,80,82,85,89,270,273,316,368,397,779],[1,2,4,6,7,13,15,28,29,31,
32,36,37,38,71,81,86,89,103,148,167,195,211,310,317,339,351,353,780],[1,2,4,5,
6,11,13,15,16,20,21,22,29,36,41,42,66,72,73,77,79,84,103,165,194,280,291,293,
400,432,781],[1,2,4,5,6,11,13,15,20,21,22,29,41,42,51,66,72,73,77,79,165,169,
190,280,349,399,433,782],[1,2,4,11,13,15,22,31,51,65,71,72,99,169,199,265,357,
386,433,783],[1,2,5,6,13,16,20,21,30,32,41,77,78,84,89,107,117,304,306,311,
331,410,784],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,41,42,66,72,73,77,79,87,89,
165,187,280,304,308,409,422,785],[1,2,4,6,11,20,27,29,31,32,68,73,80,85,130,
168,275,296,300,338,360,786],[1,2,3,5,6,7,13,17,20,21,28,32,36,38,41,48,50,69,
77,81,89,103,105,124,185,189,304,314,320,381,414,787],[1,2,5,6,13,16,20,21,27,
30,36,41,77,78,84,87,103,107,117,306,308,314,367,374,788],[1,2,4,5,6,11,13,15,
20,21,22,29,41,42,44,66,72,73,77,79,142,165,198,280,355,390,434,789],[1,2,4,5,
6,11,13,15,20,21,22,29,41,42,45,66,72,73,77,79,147,165,186,280,371,392,423,
790],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,28,29,30,38,41,42,48,50,66,69,72,
73,74,77,78,79,81,84,105,107,108,112,113,116,117,122,124,127,129,165,189,280,
306,315,320,322,336,340,362,406,418,444,791],[1,2,3,5,6,7,13,17,20,21,27,28,
30,38,41,47,49,69,77,78,81,87,114,118,122,129,178,191,297,308,330,336,416,
792],[1,2,3,4,5,6,13,15,16,17,20,21,27,30,31,41,69,71,77,78,84,87,107,109,116,
117,120,122,128,129,144,158,272,288,302,306,324,329,336,511,543,793],[1,2,4,
12,15,22,27,32,67,82,83,187,420,794],[1,2,4,5,6,12,14,15,18,20,21,22,23,25,26,
29,35,37,39,40,41,42,67,79,88,92,93,95,102,104,121,126,133,139,141,143,155,
156,165,171,175,176,177,192,203,271,341,364,369,389,487,489,491,597,795],[1,2,
3,7,11,16,17,27,28,30,74,85,97,113,144,151,152,154,157,158,160,178,268,342,
344,457,490,527,538,796],[1,2,5,6,11,18,20,23,25,26,27,29,37,39,40,41,45,73,
85,100,104,121,130,139,147,156,176,186,203,275,370,371,461,473,797],[1,2,4,5,
6,7,15,18,20,21,23,25,26,28,35,37,39,40,41,42,43,46,52,53,79,93,104,110,115,
121,125,141,143,153,155,188,192,193,197,200,220,333,361,364,500,516,568,595,
798],[1,2,3,6,7,13,17,27,28,29,30,36,37,38,69,78,81,86,87,103,144,178,201,205,
297,309,324,356,367,436,445,799],[1,2,5,6,13,19,20,21,27,36,41,44,75,77,101,
103,106,111,132,142,162,312,390,413,469,484,800],[1,2,6,7,13,16,28,29,32,36,
37,38,81,84,86,89,103,167,185,208,211,319,339,346,353,381,407,437,801],[1,2,4,
5,6,13,15,16,20,21,30,31,32,36,41,71,77,78,84,89,103,107,117,138,168,306,337,
346,383,410,421,432,802],[1,2,5,6,13,19,20,21,27,30,41,43,75,77,78,111,132,
153,162,331,379,413,803],[1,2,6,13,16,27,29,30,32,36,37,78,84,86,87,89,103,
346,350,367,374,385,394,398,804],[1,2,4,6,13,15,29,30,31,32,35,51,71,78,82,88,
109,137,148,169,272,386,395,452,518,805],[1,2,4,6,7,15,24,27,28,29,31,35,46,
51,83,88,90,115,152,169,184,217,223,305,365,388,479,541,806],[1,2,5,6,13,16,
20,21,27,32,36,41,77,84,87,89,103,145,194,313,314,346,347,380,400,409,807],[1,
2,6,7,13,16,27,28,29,32,36,37,38,81,84,86,87,89,103,145,211,313,353,374,398,
401,437,445,808],[1,2,4,6,13,15,29,31,32,37,71,86,89,148,196,310,525,809],[1,
2,4,5,6,11,13,15,20,21,22,29,30,35,36,37,41,42,72,77,78,86,100,101,103,106,
141,165,171,175,182,293,312,354,373,377,385,396,810],[1,2,6,7,13,16,27,28,29,
30,36,37,38,78,81,84,86,87,103,157,211,309,326,353,367,380,394,416,811],[1,2,
5,6,13,14,18,20,21,25,26,27,34,41,45,76,77,102,104,123,130,147,162,202,209,
269,384,392,461,472,812],[1,2,4,6,11,20,27,29,31,32,68,73,80,85,140,161,168,
184,287,299,300,303,368,387,442,813],[1,2,3,4,6,13,15,16,17,27,29,30,31,36,37,
69,71,78,84,86,87,103,116,144,184,201,302,324,356,380,383,394,424,814],[1,2,6,
7,13,16,27,28,29,30,36,37,38,78,81,84,86,87,103,158,208,288,309,354,374,407,
416,445,815],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,35,37,68,72,73,80,85,86,
88,98,99,120,123,137,146,148,168,171,184,187,274,300,301,307,403,430,442,570,
584,816],[1,2,4,6,13,15,29,31,32,34,35,37,71,82,86,88,89,91,94,137,140,148,
161,310,395,448,482,485,512,817],[1,2,4,6,7,13,15,16,27,28,29,31,36,37,38,71,
81,84,86,87,103,157,184,195,208,326,337,351,380,401,407,424,818],[1,2,4,6,11,
13,15,20,22,27,29,32,72,73,80,85,130,137,148,187,275,289,316,368,387,403,430,
819],[1,2,3,5,6,7,13,17,20,21,26,28,29,30,36,37,38,39,40,41,48,50,69,77,78,81,
86,103,105,122,124,129,139,149,155,173,176,182,189,201,205,292,320,336,356,
359,373,436,592,594,820],[1,2,4,6,13,15,29,31,32,37,51,71,86,89,148,169,310,
386,821],[1,2,4,5,6,13,15,20,21,23,25,27,29,31,32,37,39,40,41,71,77,86,87,89,
121,126,138,148,168,184,203,295,310,319,398,409,421,424,822],[1,2,5,6,13,19,
20,21,27,41,45,75,77,87,111,132,147,162,308,392,413,823],[1,2,4,5,6,15,20,21,
24,30,31,32,42,51,79,82,90,109,119,131,138,168,169,323,399,408,452,466,824],[
1,2,5,6,13,19,20,21,23,25,27,29,33,37,39,40,41,75,77,86,111,121,126,132,150,
162,203,204,295,413,415,508,553,825],[1,2,4,5,6,7,13,15,20,21,27,28,30,31,42,
46,71,78,79,83,108,109,115,119,120,123,128,131,132,151,154,159,160,163,172,
272,290,323,372,411,428,435,458,478,502,546,826],[1,2,4,5,6,7,15,20,21,30,33,
36,38,42,47,79,101,109,118,119,131,150,166,173,323,363,402,498,533,827],[1,2,
4,6,11,13,15,20,22,27,29,32,72,73,80,85,137,140,148,187,270,299,325,368,387,
403,430,828],[1,2,5,6,13,20,21,27,34,36,41,43,76,77,101,103,106,123,130,153,
162,312,379,384,495,545,829],[1,2,6,7,13,16,18,28,29,30,36,37,38,39,78,81,84,
86,103,156,205,208,211,267,353,354,394,401,407,436,830],[1,2,4,6,7,11,13,15,
20,22,28,29,30,35,37,46,51,72,73,86,88,109,113,115,169,171,172,217,274,391,
433,479,518,831],[1,2,5,6,7,13,16,20,21,27,28,36,38,41,77,81,84,87,103,149,
157,173,194,308,326,347,359,374,400,445,832],[1,2,4,5,6,15,18,20,21,23,25,26,
30,35,37,39,40,41,42,43,79,93,104,109,119,121,131,141,143,153,155,188,192,323,
361,364,449,488,833],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,35,37,41,42,72,77,
83,85,86,87,89,100,141,165,171,175,187,276,308,309,377,398,409,422,834],[1,2,
4,5,11,21,31,32,66,68,80,138,196,334,471,835],[1,2,4,5,6,11,13,15,20,21,22,27,
29,32,41,42,66,72,73,77,79,80,85,137,148,161,162,165,280,287,318,321,387,397,
430,836],[1,2,5,6,13,20,21,27,41,43,44,65,77,87,123,132,142,153,332,379,390,
837],[1,2,5,6,7,13,14,18,20,21,25,26,28,30,41,43,52,77,102,104,125,131,153,
159,172,193,200,269,376,379,488,500,838],[1,2,5,6,7,13,20,21,28,30,38,41,45,
47,49,52,77,81,114,118,125,131,147,159,172,191,216,330,376,392,497,506,839],[
1,2,4,6,7,13,15,27,28,29,30,31,36,37,38,71,78,81,86,87,103,109,184,195,205,
272,351,354,367,416,424,436,840],[1,2,5,6,7,13,16,20,21,26,28,29,36,37,38,39,
40,41,47,49,77,81,84,86,103,112,114,118,127,139,149,155,173,176,191,194,208,
211,292,315,330,353,359,400,407,573,587,841],[1,2,5,6,13,16,20,21,30,41,43,45,
77,78,84,107,117,147,153,306,379,392,465,552,842],[1,2,6,7,13,28,29,30,32,36,
37,38,65,78,81,86,89,103,137,172,185,211,294,327,335,350,353,354,381,843],[1,
2,5,6,13,16,20,21,27,32,36,41,77,84,87,89,101,103,106,312,317,346,347,374,409,
432,844],[1,2,5,6,7,13,20,21,28,30,36,41,45,52,77,101,103,106,125,131,147,159,
172,312,376,392,492,515,845],[1,2,5,6,13,20,21,27,33,41,45,65,77,87,123,132,
147,150,332,392,415,846],[1,2,5,6,7,13,14,18,20,21,25,26,28,30,41,44,53,77,
102,104,110,119,142,163,172,181,206,269,348,390,464,505,847],[1,2,6,7,11,20,
29,34,36,38,43,49,73,76,91,106,114,153,173,174,213,264,404,443,503,545,848],[
1,2,5,6,7,13,20,21,28,30,33,36,41,53,77,101,103,106,110,119,150,163,172,312,
348,415,498,510,849],[1,2,3,6,13,17,29,32,36,37,69,86,89,103,145,201,313,317,
319,356,385,414,850],[1,2,5,6,11,14,21,25,26,27,33,37,40,41,66,85,100,102,111,
126,150,155,277,282,285,504,508,851],[1,2,5,6,7,13,16,20,21,28,38,41,44,45,77,
81,84,112,127,142,147,315,390,392,852],[1,2,4,5,6,7,15,20,21,30,36,38,42,45,
49,79,106,109,114,119,131,147,149,166,323,405,423,506,515,853],[1,2,3,4,5,6,7,
11,13,15,16,17,20,21,22,28,29,35,36,37,38,41,42,48,50,69,72,74,77,81,84,86,
100,103,105,116,124,141,165,166,171,174,175,189,194,201,208,320,322,345,356,
377,400,407,562,596,854],[1,2,4,5,6,7,15,20,21,28,33,36,38,42,46,47,52,53,79,
101,110,115,118,125,150,166,173,197,221,333,363,402,496,510,855],[1,2,3,5,7,
11,16,17,21,27,28,30,50,53,66,74,85,105,107,110,111,113,119,127,129,144,151,
152,154,157,158,159,160,178,277,393,419,429,431,441,444,457,490,509,536,856],[
1,2,4,6,11,20,27,29,31,32,68,73,80,85,130,161,184,275,287,338,352,360,442,
857],[1,2,3,6,13,17,27,29,30,32,36,37,69,78,86,87,89,103,144,201,324,347,350,
354,356,398,414,858],[1,2,4,12,13,15,22,24,30,31,51,67,71,78,90,96,98,99,109,
146,169,199,272,357,439,466,474,859],[1,2,4,7,12,13,15,22,24,28,31,38,46,51,
67,71,81,90,96,98,99,115,146,169,170,183,199,207,223,278,357,439,526,541,560,
586,860],[1,2,4,6,11,20,27,29,31,32,68,73,80,85,140,184,299,303,352,360,368,
387,442,861],[1,2,4,5,6,11,20,21,27,29,31,32,66,68,73,80,85,138,140,162,168,
299,300,318,321,334,352,368,862],[1,2,4,6,11,13,15,20,22,27,29,32,72,73,80,85,
120,123,140,187,299,301,316,338,360,397,403,863],[1,2,5,6,7,13,20,21,27,28,34,
38,41,43,47,49,76,77,81,114,118,123,130,153,162,191,213,330,379,384,503,520,
864],[1,2,5,6,7,13,16,19,20,21,27,28,30,41,53,75,77,78,84,107,110,111,117,119,
127,132,151,157,158,159,160,162,163,172,284,306,348,413,419,429,446,451,531,
546,550,865],[1,2,4,5,6,12,15,20,21,22,29,30,35,37,41,42,51,67,79,88,95,109,
119,131,141,165,169,171,175,190,323,349,369,474,518,866],[1,2,4,5,6,7,12,15,
20,21,22,28,29,35,37,41,42,46,51,52,53,67,79,88,95,110,115,125,141,165,169,
171,175,183,190,197,207,217,333,349,369,479,526,559,569,867],[1,2,4,5,6,11,13,
15,20,21,22,24,27,29,31,32,41,42,66,68,72,73,77,79,80,85,98,99,128,132,137,
138,146,148,165,184,187,280,307,328,334,403,430,442,577,585,868],[1,2,5,6,13,
16,20,21,23,25,29,30,36,37,39,40,41,77,78,84,86,103,121,126,182,194,203,295,
354,373,385,394,400,401,869],[1,2,4,5,6,13,15,19,20,21,27,31,34,41,42,71,75,
76,77,79,83,87,97,111,120,123,128,130,132,162,329,384,411,412,413,426,450,470,
870],[1,2,3,5,6,7,13,17,19,20,21,27,28,30,41,50,52,69,75,77,78,105,111,119,
122,125,129,131,132,144,151,159,160,162,172,178,336,376,382,413,480,499,522,
536,546,871],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,35,36,37,38,41,42,72,77,
78,81,86,100,103,108,113,141,149,165,171,173,175,205,331,340,354,359,377,396,
436,872],[1,2,4,5,6,7,11,13,15,16,20,21,22,28,29,35,36,37,38,41,42,72,77,81,
84,86,100,103,112,127,141,165,166,171,174,175,208,291,315,345,377,401,407,432,
873],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,66,72,73,80,85,128,132,137,148,162,
187,318,321,328,360,387,403,430,874],[1,2,3,5,6,7,13,17,20,21,27,28,30,34,41,
48,53,69,76,77,78,110,119,122,123,124,129,130,131,144,154,160,162,163,172,178,
336,348,384,417,458,480,524,551,556,875],[1,2,4,6,11,13,15,20,22,24,27,29,31,
32,68,71,72,73,80,85,90,137,146,148,168,184,279,300,303,352,397,430,442,876],[
1,2,5,6,7,13,16,20,21,27,28,30,34,38,41,52,53,76,77,81,84,110,112,117,119,123,
125,127,130,151,152,157,158,162,163,172,315,348,375,384,477,521,531,537,555,
877],[1,2,6,13,29,32,37,45,65,86,89,137,186,335,455,878],[1,2,4,6,11,13,15,20,
22,27,29,32,72,73,80,83,85,87,137,148,276,338,360,368,387,397,430,879],[1,2,5,
6,13,19,20,21,27,36,41,43,75,77,103,111,132,153,162,314,379,413,880],[1,2,4,6,
7,13,15,28,29,31,32,35,38,46,51,71,81,82,88,115,137,148,169,170,217,278,386,
395,453,479,881],[1,2,3,5,6,7,13,17,20,21,28,38,41,43,45,48,50,69,77,81,105,
124,147,153,189,219,320,379,392,447,476,882],[1,2,3,5,6,13,17,20,21,30,33,41,
43,69,77,78,122,129,150,153,336,379,415,883],[1,2,5,6,7,13,20,21,27,28,30,41,
43,53,77,87,110,119,153,163,172,308,348,379,884],[1,2,4,5,6,11,20,21,27,29,31,
32,66,68,73,80,85,111,138,162,184,277,296,318,334,360,387,442,885],[1,2,4,6,
11,20,27,29,31,32,68,73,80,85,97,184,268,296,316,338,352,387,442,886],[1,2,4,
5,6,7,13,15,20,21,27,28,30,31,36,38,41,71,77,78,81,87,103,120,128,149,173,182,
195,329,347,351,359,373,383,416,887],[1,2,4,6,15,24,27,29,30,31,35,51,83,88,
90,109,160,169,184,290,365,388,466,518,888],[1,2,4,5,6,13,15,20,21,30,31,32,
36,41,71,77,78,89,103,138,164,168,182,298,314,317,350,373,383,421,889],[1,2,5,
6,7,13,16,20,21,27,28,30,32,36,38,41,77,78,81,84,87,89,103,112,127,182,185,
315,373,374,381,409,410,416,890],[1,2,5,6,7,13,20,21,28,30,41,45,53,77,78,110,
119,147,163,172,331,348,392,891],[1,2,6,13,16,29,30,32,36,37,78,84,86,89,103,
311,319,346,350,354,394,410,892],[1,2,6,7,11,20,27,29,36,38,43,49,73,85,106,
114,130,153,173,174,275,404,443,495,520,893],[1,2,3,6,7,11,16,17,20,27,28,29,
30,48,52,73,74,85,112,113,117,122,124,125,130,131,144,151,152,154,157,158,160,
163,178,275,358,378,418,425,427,438,457,490,537,556,894],[1,2,3,6,7,13,17,27,
28,29,32,36,37,38,69,81,86,87,89,103,178,185,201,211,297,347,353,356,381,398,
414,895],[1,2,6,7,13,16,28,29,30,32,36,37,38,78,81,84,86,89,103,185,205,319,
350,381,401,410,436,437,896],[1,2,4,6,7,11,20,29,31,32,36,38,46,49,68,73,80,
106,114,145,164,167,168,170,173,174,185,195,300,404,530,535,558,590,897],[1,2,
3,4,5,6,7,15,16,17,19,20,21,27,28,30,42,46,50,52,53,75,79,105,107,108,110,111,
112,115,116,122,125,127,128,151,152,157,159,162,178,179,197,281,333,362,393,
419,426,446,522,528,554,555,898],[1,2,3,4,6,7,11,13,15,16,17,20,22,27,28,29,
30,46,48,69,72,73,74,84,85,109,112,113,115,116,117,120,122,123,124,144,157,
158,172,178,301,322,391,418,457,477,524,539,543,899],[1,2,5,6,13,16,20,21,27,
36,41,65,77,84,87,103,123,132,194,263,294,332,374,380,400,432,900],[1,2,4,6,7,
11,13,15,20,22,27,28,29,30,38,46,52,72,73,78,81,85,108,109,113,115,120,123,
125,131,151,152,154,160,163,172,301,340,378,391,458,478,490,494,521,901],[1,2,
4,6,11,20,29,31,32,43,68,73,80,153,168,300,443,902],[1,2,4,11,13,15,22,27,30,
32,36,72,78,87,89,103,145,187,293,313,347,350,367,396,422,903],[1,2,4,7,11,13,
15,22,28,30,31,36,38,65,71,72,78,81,99,103,166,172,174,195,265,294,327,345,
351,383,396,904],[1,2,4,6,11,20,29,31,32,68,73,80,168,196,300,471,905],[1,2,4,
6,11,13,15,20,22,27,29,36,51,72,73,85,103,120,123,169,293,301,433,906],[1,2,5,
6,13,16,20,21,30,33,41,44,77,78,84,107,117,142,150,306,390,415,534,547,907],[
1,2,4,6,7,13,15,27,28,29,31,36,37,38,71,81,86,87,103,164,184,195,211,298,347,
351,353,385,424,445,908],[1,2,4,5,6,7,13,15,20,21,27,28,30,31,41,46,52,53,71,
77,87,108,109,110,115,119,120,125,128,131,151,152,154,159,160,163,172,329,348,
372,376,478,494,502,523,554,909],[1,2,5,6,7,13,20,21,28,30,32,41,44,52,77,89,
125,131,142,159,172,304,376,390,910],[1,2,5,6,13,20,21,27,32,33,34,41,76,77,
89,123,130,150,162,304,384,415,911],[1,2,5,6,7,13,16,19,20,21,27,28,30,38,41,
52,53,75,77,81,84,107,110,111,112,125,127,131,132,152,154,157,158,159,162,172,
315,376,413,446,483,509,549,550,555,912],[1,2,5,6,13,20,21,27,33,34,41,76,77,
87,123,130,150,162,308,384,415,913],[1,2,5,6,13,16,20,21,26,29,36,37,39,40,41,
77,84,86,101,103,106,139,155,176,194,292,312,314,385,400,401,432,914],[1,2,5,
6,7,13,20,21,28,30,33,41,52,77,78,125,131,150,159,172,331,376,415,915],[1,2,4,
5,6,7,14,15,20,21,25,26,28,35,37,39,40,41,42,44,46,52,53,79,92,102,110,115,
125,126,139,141,142,177,181,192,197,198,206,215,333,355,389,464,468,566,576,
916],[1,2,4,5,6,14,15,20,21,25,26,30,35,37,39,40,41,42,44,79,92,102,109,119,
126,131,139,141,142,177,192,198,323,355,389,505,519,917],[1,2,5,6,7,13,20,21,
28,30,32,41,43,53,77,89,110,119,153,163,172,304,348,379,918],[1,2,4,11,13,15,
22,27,32,72,80,85,94,187,266,325,360,368,397,403,919],[1,2,6,13,29,32,37,65,
86,89,137,196,335,525,920],[1,2,5,6,7,13,16,20,21,28,33,38,41,43,77,81,84,112,
127,150,153,315,379,415,921],[1,2,4,5,6,11,13,15,20,21,22,27,29,31,32,35,37,
41,42,65,71,72,77,86,87,89,99,100,123,132,137,138,141,165,168,171,175,184,187,
265,332,335,377,421,422,424,570,585,922],[1,2,3,5,6,7,13,17,19,20,21,27,28,30,
38,41,48,50,53,69,75,77,81,105,110,111,119,124,129,132,144,152,154,159,162,
163,172,178,179,189,281,320,348,382,393,413,441,475,499,549,551,923],[1,2,3,5,
6,7,13,17,20,21,28,33,38,41,44,48,50,69,77,81,105,124,142,150,189,214,320,390,
415,493,501,924],[1,2,4,5,6,7,13,15,20,21,28,31,32,36,38,41,71,77,81,89,101,
103,106,138,145,149,164,168,173,185,195,298,312,313,351,359,381,421,563,590,
925],[1,2,6,7,13,16,27,28,29,30,32,37,38,78,81,84,86,87,89,157,167,205,208,
326,339,398,407,410,416,436,926],[1,2,5,6,11,18,20,23,25,26,29,34,37,39,40,41,
45,73,76,91,100,104,121,139,147,156,176,186,202,203,209,218,264,370,371,472,
481,578,580,927],[1,2,4,7,11,13,15,16,22,27,28,30,46,72,84,85,109,113,115,172,
289,291,391,928],[1,2,4,7,11,13,15,22,28,30,32,38,51,72,78,80,81,108,113,169,
325,340,433,929],[1,2,4,7,11,13,15,22,27,28,30,38,51,72,78,81,85,108,113,169,
289,340,433,930],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,35,37,41,42,72,77,80,
82,86,87,89,100,141,165,171,175,187,273,304,319,377,398,409,422,931],[1,2,4,5,
11,13,15,16,21,22,27,51,66,72,84,85,128,132,169,291,328,433,932],[1,2,6,7,13,
16,27,28,29,30,32,37,38,78,81,84,86,87,89,158,205,288,311,394,398,416,436,437,
933],[1,2,4,6,13,15,16,27,29,30,31,36,37,71,78,84,86,87,103,158,184,288,337,
374,383,394,401,424,934],[1,2,4,5,6,7,15,20,21,24,28,31,32,42,46,51,52,53,79,
82,90,110,115,125,138,168,169,197,223,333,399,408,453,541,935],[1,2,4,5,6,7,
13,15,20,21,27,28,30,31,38,42,46,52,53,71,79,81,83,108,109,110,115,120,123,
125,128,132,151,152,154,159,163,170,172,197,278,305,333,372,411,428,435,494,
521,549,554,936],[1,2,5,6,7,13,16,20,21,28,32,36,38,41,77,81,84,89,103,149,
173,185,194,304,317,346,359,381,400,437,937],[1,2,4,5,6,7,13,15,16,20,21,28,
31,32,36,38,41,71,77,81,84,89,103,112,127,138,168,194,195,315,337,346,351,400,
421,437,938],[1,2,4,11,13,15,22,24,31,51,68,71,72,90,146,169,199,279,357,454,
463,939],[1,2,5,6,7,13,20,21,28,30,33,36,41,52,77,103,125,131,150,159,172,314,
376,415,940],[1,2,3,4,6,7,13,15,16,17,27,28,29,31,36,37,38,69,71,81,84,86,87,
103,116,178,184,195,201,208,297,302,351,356,374,407,424,941],[1,2,5,6,13,20,
21,27,30,34,41,44,76,77,78,123,130,142,162,331,384,390,942],[1,2,5,6,7,13,16,
20,21,27,28,30,32,36,38,41,77,78,81,84,87,89,103,107,117,149,173,306,350,359,
380,409,416,437,943],[1,2,3,4,6,13,15,16,17,29,31,32,36,37,69,71,84,86,89,103,
116,148,164,201,298,302,310,346,356,401,414,944],[1,2,4,6,13,15,29,31,32,37,
45,71,86,89,148,186,310,455,945],[1,2,4,6,11,13,15,16,20,22,27,29,51,72,73,84,
85,120,123,169,291,301,433,946],[1,2,3,5,6,7,13,17,20,21,27,28,30,34,38,41,48,
50,52,69,76,77,81,105,122,123,124,125,130,131,144,151,152,159,162,163,172,178,
180,189,286,320,376,384,417,427,438,475,521,522,524,947],[1,2,3,4,5,6,7,15,16,
17,20,21,27,28,30,34,42,46,48,52,53,76,79,108,110,112,115,116,117,120,124,125,
127,129,130,152,154,157,162,163,178,180,197,286,333,375,406,412,425,438,494,
539,551,555,948],[1,2,5,6,7,13,16,20,21,27,28,30,34,41,52,76,77,78,84,107,112,
117,123,125,130,131,154,157,158,159,160,162,163,172,283,306,358,375,376,384,
425,451,458,477,483,949],[1,2,3,4,5,6,7,15,16,17,19,20,21,27,28,30,42,50,75,
79,105,107,108,109,111,112,116,119,122,128,129,131,144,154,158,159,160,162,
284,323,362,382,426,429,441,480,483,502,511,950],[1,2,5,6,7,13,16,20,21,27,28,
32,36,38,41,47,49,77,81,84,87,89,103,114,118,157,185,191,326,330,381,409,432,
437,445,951],[1,2,4,7,12,15,22,27,28,32,46,51,67,82,83,115,152,169,183,187,
207,305,366,420,453,526,952],[1,2,5,6,13,14,18,19,20,21,25,26,27,33,41,75,77,
102,104,111,132,136,150,162,204,269,413,415,462,504,953],[1,2,4,5,11,21,31,32,
51,66,68,80,138,199,334,463,954],[1,2,5,6,13,19,20,21,27,32,41,45,75,77,89,
111,132,147,162,304,392,413,955],[1,2,4,5,11,21,31,32,44,66,68,80,138,142,334,
434,956],[1,2,5,6,13,20,21,27,34,36,41,44,76,77,103,123,130,142,162,314,384,
390,957],[1,2,4,11,27,31,32,68,80,85,296,303,316,352,360,368,958],[1,2,3,4,5,
6,7,15,16,17,20,21,27,28,30,34,42,48,76,79,108,109,116,117,119,120,122,124,
127,129,130,131,144,151,158,160,162,163,283,323,358,406,412,417,427,478,480,
531,543,959],[1,2,4,7,11,13,15,22,28,30,32,36,46,72,80,103,109,113,115,172,
293,325,391,960],[1,2,6,13,29,32,36,37,65,86,89,103,137,294,335,961],[1,2,4,
11,13,15,22,27,32,72,80,85,97,187,268,289,360,368,397,403,962],[1,2,4,5,6,13,
15,16,20,21,27,31,36,41,71,77,84,87,103,120,128,164,194,298,329,337,374,380,
400,432,963],[1,2,4,7,11,12,13,15,22,28,30,46,51,67,72,109,113,115,169,172,
183,207,260,391,433,474,526,964],[1,2,6,7,13,16,28,29,30,32,37,38,65,78,81,84,
86,89,137,172,208,263,327,335,394,407,410,437,965],[1,2,3,4,5,6,11,13,15,16,
17,20,21,22,29,30,35,36,37,41,42,69,72,74,77,78,84,86,100,103,116,122,129,141,
165,171,175,201,322,336,356,377,394,396,432,966],[1,2,4,5,6,13,15,20,21,27,31,
33,41,45,71,77,87,120,128,147,150,329,392,415,967],[1,2,4,5,6,11,13,15,16,20,
21,22,29,30,35,36,37,41,42,72,77,78,84,86,100,103,107,117,141,165,171,175,194,
291,306,377,394,396,400,401,968],[1,2,5,6,13,16,20,21,30,32,36,41,77,78,84,89,
103,145,182,304,313,346,350,373,410,432,969],[1,2,5,7,11,19,21,36,38,44,47,66,
75,101,118,142,149,174,222,261,434,440,484,507,970],[1,2,3,5,6,13,17,20,21,30,
41,44,45,69,77,78,122,129,142,147,336,390,392,971],[1,2,3,4,5,7,11,13,15,16,
17,21,22,27,28,30,46,50,66,69,72,74,84,85,105,107,109,113,115,116,127,128,129,
132,144,157,158,172,178,322,328,391,444,457,499,511,528,550,972],[1,2,3,4,11,
13,15,16,17,22,27,51,69,72,74,84,85,116,169,289,322,433,973],[1,2,5,6,7,13,20,
21,28,30,36,41,45,53,77,103,110,119,147,163,172,314,348,392,974],[1,2,5,6,13,
16,20,21,27,30,32,36,41,77,78,84,87,89,103,158,194,288,331,350,367,400,409,
410,975],[1,2,4,11,13,15,22,24,27,31,32,68,72,80,82,85,89,98,99,146,187,273,
303,307,325,352,397,403,976],[1,2,4,5,6,7,13,15,20,21,28,31,32,36,38,41,46,47,
49,71,77,81,89,103,114,115,118,138,149,167,168,170,173,185,191,195,278,330,
339,351,359,381,421,558,572,977],[1,2,4,12,15,22,27,30,32,51,67,82,83,109,160,
169,187,290,366,420,452,474,978],[1,2,4,6,13,15,27,29,30,31,36,37,71,78,86,87,
103,164,184,298,347,354,367,383,385,424,979],[1,2,4,6,11,13,15,20,22,24,27,29,
31,32,68,72,73,80,85,98,99,120,123,137,146,148,184,289,301,307,352,397,430,
442,980],[1,2,3,5,6,13,17,20,21,27,30,32,36,41,69,77,78,87,89,103,122,129,144,
182,311,324,336,367,373,409,414,981],[1,2,5,6,7,13,19,20,21,27,28,38,41,44,47,
49,75,77,81,111,114,118,132,142,162,191,222,330,390,413,507,544,982],[1,2,5,6,
7,13,20,21,28,30,33,38,41,47,49,53,77,81,110,114,118,119,150,163,172,191,221,
330,348,415,496,533,983],[1,2,4,6,11,20,29,31,32,51,68,73,80,168,199,300,463,
984],[1,2,3,4,5,6,7,13,15,16,17,20,21,28,31,32,36,38,41,48,50,69,71,77,81,84,
89,103,105,116,124,138,168,189,195,302,320,351,414,421,432,437,985],[1,2,5,6,
13,20,21,23,25,27,29,34,37,39,40,41,45,76,77,86,121,123,126,130,147,162,203,
218,295,384,392,473,481,986],[1,2,5,6,7,13,16,20,21,23,25,28,29,36,37,38,39,
40,41,77,81,84,86,103,121,126,149,173,203,208,211,295,353,359,385,401,407,432,
987],[1,2,4,7,11,13,15,22,27,28,32,36,38,72,81,87,89,103,166,174,185,187,293,
317,345,347,381,422,445,988],[1,2,4,5,6,7,15,20,21,28,36,38,42,45,46,49,52,53,
79,106,110,114,115,125,147,149,166,197,216,333,405,423,492,497,989],[1,2,4,5,
6,13,15,20,21,26,27,29,31,32,37,39,40,41,71,77,86,87,89,120,128,138,139,155,
168,176,184,292,308,329,398,409,421,424,990],[1,2,4,7,11,13,15,22,28,30,32,46,
51,72,80,82,89,109,113,115,169,172,273,391,433,452,453,991],[1,2,4,7,11,13,15,
16,22,28,30,32,46,72,80,84,109,113,115,172,291,325,391,992],[1,2,4,5,6,13,15,
20,21,30,31,32,36,41,71,77,78,89,103,109,138,168,182,272,311,331,350,373,383,
421,993],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,35,36,37,38,41,42,47,49,72,
77,78,81,86,100,103,108,113,114,118,141,165,166,171,174,175,182,191,205,211,
330,340,345,353,373,377,436,565,588,994],[1,2,5,7,11,21,27,36,38,44,47,66,85,
101,111,118,142,149,174,277,434,440,469,544,995],[1,2,3,4,7,11,13,15,16,17,22,
27,28,32,36,38,69,72,74,81,84,87,89,103,116,166,174,178,187,297,322,345,380,
414,422,437,996],[1,2,4,6,7,13,15,28,29,30,31,32,36,37,38,71,78,81,86,89,103,
148,185,195,205,310,350,351,381,383,385,436,997],[1,2,4,6,11,13,15,20,22,29,
35,37,45,72,73,86,88,147,171,186,274,371,455,456,998],[1,2,3,5,6,7,13,17,20,
21,27,28,32,36,38,41,48,50,69,77,81,87,89,103,105,124,149,167,173,178,189,297,
320,339,359,409,414,445,999],[1,2,5,6,13,16,20,21,27,30,36,41,77,78,84,87,103,
158,182,288,308,347,367,373,380,432,1000],[1,2,4,5,11,13,15,21,22,27,32,66,72,
80,85,111,128,132,187,277,316,321,328,360,397,403,1001],[1,2,4,11,13,15,22,32,
72,80,82,89,196,273,471,525,548,1002],[1,2,6,13,16,27,29,30,32,36,37,78,84,86,
87,89,103,317,354,367,380,398,401,410,1003],[1,2,4,5,11,13,15,21,22,27,36,51,
66,72,85,103,128,132,169,293,328,433,1004],[1,2,4,7,11,13,15,22,27,28,30,32,
36,38,72,78,81,87,89,103,108,113,185,187,311,340,367,381,396,416,422,1005],[1,
2,5,6,7,13,20,21,27,28,30,38,41,52,53,65,77,78,81,87,110,119,123,125,131,132,
151,152,154,159,160,163,172,327,332,348,376,458,521,523,546,549,1006],[1,2,4,
5,7,11,13,15,21,22,27,28,30,38,46,53,66,72,78,81,85,108,109,110,113,115,119,
128,132,151,152,154,159,160,172,328,340,391,431,490,502,546,549,554,1007],[1,
2,4,11,13,15,16,22,27,30,32,36,72,78,84,87,89,103,158,187,288,291,346,380,396,
410,422,1008],[1,2,6,7,13,16,27,28,29,32,36,37,38,81,84,86,87,89,103,185,208,
346,380,381,385,398,407,445,1009],[1,2,4,6,11,13,15,20,22,27,29,32,72,73,80,
85,120,123,137,148,161,187,287,301,338,368,387,403,430,1010],[1,2,5,6,7,13,20,
21,27,28,30,41,44,52,77,87,125,131,142,159,172,308,376,390,1011],[1,2,5,6,7,
13,20,21,27,28,30,36,38,41,65,77,78,81,87,103,123,132,149,172,173,182,294,327,
332,359,367,373,445,1012],[1,2,5,6,13,16,20,21,26,29,30,36,37,39,40,41,77,78,
84,86,103,107,117,139,155,176,182,292,306,331,354,373,394,432,1013],[1,2,3,4,
5,6,13,15,16,17,20,21,30,31,32,36,41,69,71,77,78,84,89,103,116,122,129,138,
168,194,302,336,383,400,410,414,421,1014],[1,2,4,7,11,13,15,22,27,28,30,36,46,
72,85,103,109,113,115,172,289,293,391,1015],[1,2,4,7,11,13,15,22,27,28,30,36,
38,72,78,81,83,85,87,103,166,174,276,345,347,367,396,416,445,1016],[1,2,4,5,6,
7,11,13,15,20,21,22,28,29,35,36,37,38,41,42,72,77,81,86,100,103,141,149,165,
166,171,173,174,175,211,293,314,345,353,359,377,385,1017],[1,2,4,7,11,13,15,
22,24,28,30,31,46,51,68,71,72,90,109,113,115,146,169,172,223,279,391,433,466,
541,1018],[1,2,4,5,7,11,21,31,32,36,38,46,47,66,68,80,101,118,138,145,149,164,
167,170,174,185,195,334,440,530,535,563,572,1019],[1,2,4,6,7,11,13,15,20,22,
28,29,30,35,36,37,38,72,73,78,81,86,88,103,166,171,174,205,211,274,345,353,
354,385,396,436,1020],[1,2,4,5,6,13,15,20,21,27,31,41,43,44,71,77,87,120,128,
142,153,329,379,390,1021],[1,2,4,6,7,13,15,27,28,29,30,31,36,37,38,46,71,78,
81,86,87,103,115,170,184,205,211,278,353,383,416,424,436,445,1022],[1,2,3,4,
11,13,15,16,17,22,27,30,32,36,69,72,74,78,84,87,89,103,116,144,187,322,324,
374,396,410,414,422,1023],[1,2,5,6,7,13,20,21,23,25,28,29,30,37,39,40,41,44,
53,77,86,110,119,121,126,142,163,172,203,215,295,348,390,468,519,1024],[1,2,4,
5,6,11,13,15,20,21,22,24,27,29,31,32,35,37,41,42,68,71,72,77,86,87,89,90,100,
120,128,138,141,146,148,165,168,171,175,184,187,279,310,329,377,421,422,424,
577,584,1025],[1,2,4,7,11,13,15,22,27,28,30,32,36,38,72,78,81,87,89,103,108,
113,166,167,174,187,339,340,345,350,416,422,445,1026],[1,2,5,6,7,13,20,21,23,
25,28,29,30,37,39,40,41,43,52,77,86,121,125,126,131,153,159,172,203,220,295,
376,379,449,516,1027],[1,2,4,7,11,13,15,16,22,27,28,32,36,38,72,81,84,87,89,
103,157,166,174,187,291,326,345,346,374,422,437,1028],[1,2,3,4,11,13,15,16,17,
22,32,51,69,72,74,80,84,116,169,322,325,433,1029],[1,2,4,11,13,15,22,24,27,31,
32,68,72,80,83,85,87,98,99,146,187,276,289,296,307,352,397,403,1030],[1,2,6,
13,16,27,29,36,37,84,86,87,103,309,347,374,380,385,401,1031],[1,2,4,5,6,7,15,
20,21,36,38,42,45,47,51,79,101,118,147,166,169,173,399,402,423,1032],[1,2,5,6,
13,20,21,26,29,32,34,37,39,40,41,45,77,86,91,137,139,140,155,161,176,186,202,
218,292,455,482,561,578,1033],[1,2,6,13,27,29,32,34,37,45,86,87,91,137,140,
161,186,309,455,482,1034],[1,2,3,5,7,11,16,17,21,28,30,33,44,50,66,74,105,107,
113,127,129,142,150,214,282,434,444,493,501,534,547,1035],[1,2,5,6,11,18,20,
23,25,26,29,32,37,39,40,41,45,73,80,100,104,121,139,140,147,156,176,186,203,
299,370,371,561,593,1036],[1,2,5,6,16,18,20,25,26,27,30,36,41,43,45,104,106,
117,130,131,147,153,158,160,182,194,358,461,465,488,495,515,540,1037],[1,2,7,
11,32,36,38,80,94,145,167,174,185,196,266,471,535,581,589,1038],[1,2,6,13,29,
32,36,89,94,103,137,140,145,161,196,313,512,525,575,589,1039],[1,2,6,13,29,32,
34,37,45,86,89,91,137,140,161,186,319,455,482,1040],[1,2,4,7,12,13,15,22,24,
28,30,31,46,51,67,71,90,96,98,99,108,109,115,146,169,172,183,207,223,372,386,
439,466,474,526,541,1041],[1,2,3,5,6,7,14,17,19,21,25,26,28,33,38,41,44,47,48,
49,50,53,75,102,105,110,118,134,136,142,150,179,181,189,191,204,206,210,212,
214,221,222,281,462,464,486,496,501,507,598,601,1042],[1,2,5,6,7,16,19,21,25,
28,30,33,37,38,40,44,47,53,75,107,110,118,126,127,142,150,159,204,205,208,215,
221,222,446,459,468,496,507,534,553,1043],[1,2,5,6,7,16,21,25,27,28,30,33,37,
38,40,44,47,53,107,110,111,118,126,142,150,151,157,205,208,215,221,419,459,
468,496,508,544,547,1044],[1,2,6,7,13,28,29,32,38,81,89,94,137,140,161,167,
196,339,512,525,567,581,1045],[1,2,4,5,6,7,12,15,20,21,22,28,29,30,35,37,41,
42,46,51,67,79,88,95,109,115,141,159,163,165,169,171,175,183,207,217,369,399,
428,474,479,518,526,1046],[1,2,3,5,6,7,11,16,17,20,21,27,28,29,30,48,50,52,53,
66,73,74,85,105,107,110,112,113,117,119,122,124,125,127,129,131,144,151,152,
154,157,158,159,160,162,163,178,318,378,418,431,444,451,457,475,480,483,490,
522,531,551,555,1047],[1,2,4,5,6,7,15,20,21,24,28,30,31,32,42,46,51,79,82,90,
109,115,138,159,163,168,169,190,223,349,408,428,452,453,466,541,1048],[1,2,6,
7,11,20,27,29,36,38,43,49,73,85,106,114,153,173,174,338,404,443,1049],[1,2,4,
5,6,13,15,20,21,27,31,42,51,71,79,83,120,123,128,132,169,190,199,349,357,365,
366,386,399,411,1050],[1,2,3,5,6,7,11,16,17,18,20,23,25,26,28,29,30,36,37,38,
39,40,41,47,48,49,50,73,74,100,104,106,112,113,114,117,121,122,124,135,139,
156,173,174,176,182,189,191,194,201,203,205,208,210,211,212,370,404,418,460,
514,540,542,562,573,588,592,1051],[1,2,3,5,6,7,17,18,20,25,26,27,28,30,38,41,
43,45,47,48,49,50,104,114,124,130,131,135,144,147,151,153,189,191,210,212,219,
427,447,460,461,488,506,520,1052],[1,2,4,5,6,7,15,20,21,24,31,32,36,38,42,46,
47,49,79,82,90,101,106,114,118,138,145,149,164,166,167,168,170,173,185,195,
402,405,408,529,532,558,563,572,590,1053],[1,2,4,6,7,15,24,27,28,29,30,31,35,
46,51,83,88,90,109,115,151,154,169,184,217,223,366,388,435,466,479,518,541,
1054],[1,2,5,6,7,16,19,21,25,30,33,37,38,40,44,47,75,107,118,119,126,142,150,
204,205,208,222,284,459,507,519,533,547,553,1055],[1,2,3,5,6,7,11,14,16,17,21,
25,26,28,30,36,37,38,40,41,47,48,49,50,66,74,100,101,102,105,107,113,118,126,
127,129,134,149,155,174,182,189,191,194,201,205,208,210,211,212,285,440,444,
459,467,486,517,562,587,588,594,1056],[1,2,4,5,6,12,13,15,20,21,22,24,27,29,
31,32,35,37,41,42,67,71,79,82,83,88,90,95,96,98,99,120,123,128,132,137,138,
141,146,148,165,168,171,175,184,187,369,388,395,408,411,420,439,570,577,584,
585,1057],[1,2,3,4,5,6,7,15,16,17,20,21,28,30,42,43,45,48,79,108,116,117,124,
127,129,147,153,188,219,361,406,423,447,465,476,552,1058],[1,2,3,4,5,6,7,15,
16,17,20,21,28,30,33,42,44,50,79,105,107,108,112,116,122,142,150,198,214,355,
362,363,493,501,534,547,1059],[1,2,3,5,6,7,17,19,21,25,28,30,33,36,37,40,44,
50,75,101,105,119,126,129,142,150,159,201,204,211,214,382,467,484,498,501,519,
553,1060],[1,2,4,5,6,7,15,19,20,21,27,36,38,42,44,47,75,79,101,111,118,128,
142,162,166,173,198,222,355,402,426,469,484,507,544,1061],[1,2,3,5,6,7,13,17,
20,21,27,28,30,38,48,50,52,53,69,81,87,97,105,110,111,122,123,124,125,129,130,
132,144,151,152,154,159,160,162,163,172,178,297,393,438,450,499,521,522,523,
524,536,538,549,551,556,1062],[1,2,3,5,6,7,17,18,20,25,26,28,34,38,41,43,45,
47,48,49,50,52,76,104,114,124,125,135,147,153,180,189,191,193,200,202,209,210,
212,213,216,219,286,447,460,472,497,500,503,599,600,1063],[1,2,5,6,7,11,14,21,
25,26,28,30,37,40,41,44,53,66,100,102,110,113,119,126,142,155,159,181,206,215,
285,431,434,464,468,505,519,1064],[1,2,4,5,6,7,15,20,21,27,34,36,38,42,43,49,
76,79,106,114,120,130,149,153,162,166,188,213,361,405,412,495,503,520,545,
1065],[1,2,4,6,15,24,27,29,31,35,51,83,88,90,184,199,388,454,1066],[1,2,6,7,
11,20,29,32,36,38,73,80,145,161,167,174,185,196,287,471,535,567,575,1067],[1,
2,5,6,7,11,18,20,23,25,26,28,29,30,37,39,40,41,43,52,73,100,104,113,121,125,
131,139,153,156,163,176,193,200,203,220,370,378,443,449,488,500,516,1068],[1,
2,4,5,6,15,20,21,24,31,32,33,42,45,79,82,90,138,147,150,168,363,408,423,
1069],[1,2,4,12,13,15,22,24,31,36,51,67,71,90,96,98,99,103,146,164,169,199,
298,357,439,582,591,1070],[1,2,5,6,14,16,21,25,26,27,30,33,36,41,44,101,102,
107,111,119,142,150,158,160,182,194,429,469,498,504,505,517,547,1071],[1,2,3,
5,6,7,17,21,25,27,28,30,33,36,37,40,44,50,101,105,111,119,126,142,144,150,154,
201,211,441,467,469,493,498,508,519,1072],[1,2,7,11,27,32,36,38,80,85,145,167,
174,185,196,316,471,535,1073],[1,2,3,4,5,6,7,14,15,16,17,20,21,25,26,28,30,35,
36,37,38,39,40,41,42,47,48,49,50,79,92,101,102,105,107,108,112,116,118,122,
126,134,139,141,166,173,177,182,189,191,192,194,201,205,208,210,211,212,362,
389,402,459,467,486,517,565,573,592,596,1074],[1,2,3,4,5,6,7,15,16,17,20,21,
27,28,30,46,50,52,83,97,105,108,109,111,115,116,117,119,120,122,125,127,128,
130,144,151,152,154,157,158,159,160,162,163,178,425,435,441,470,494,502,509,
513,522,527,528,531,538,543,556,1075],[1,2,4,5,6,14,15,19,20,21,25,26,27,33,
35,37,39,40,41,42,75,79,92,102,111,126,128,136,139,141,150,162,177,192,204,
363,389,426,462,504,508,553,1076],[1,2,4,5,6,7,15,20,21,33,36,38,42,49,51,79,
106,114,149,150,166,169,363,399,405,1077],[1,2,3,5,6,7,14,17,21,25,26,27,28,
33,38,41,44,47,48,49,50,53,102,105,110,111,118,134,142,150,152,178,181,189,
191,206,210,212,221,393,464,486,493,496,504,544,1078],[1,2,4,6,7,13,15,28,29,
30,31,32,35,46,51,71,82,88,108,109,115,137,148,169,172,199,217,357,372,395,
452,453,479,518,1079],[1,2,5,6,7,16,21,25,27,30,33,37,38,40,44,47,107,111,118,
119,126,142,150,158,160,205,208,429,459,508,519,533,534,544,1080],[1,2,4,6,13,
15,16,29,31,32,35,51,71,82,84,88,137,148,169,337,386,395,1081],[1,2,6,13,29,
30,32,78,89,94,137,140,161,196,311,512,525,1082],[1,2,4,7,11,13,15,22,24,31,
36,38,46,51,68,72,98,99,146,164,170,174,183,195,199,223,307,463,530,560,591,
1083],[1,2,3,6,7,17,20,23,27,28,30,36,37,39,43,45,48,106,121,124,130,131,144,
147,151,153,201,211,427,449,473,476,495,515,542,1084],[1,2,6,7,16,20,23,28,30,
34,37,38,39,43,45,49,52,76,112,114,117,121,125,147,153,163,205,208,213,216,
218,220,375,481,497,503,514,516,552,1085],[1,2,3,4,5,6,7,15,16,17,20,21,27,28,
30,46,48,50,52,53,83,97,105,108,110,111,112,115,116,120,124,125,127,128,130,
144,151,152,154,157,158,159,162,163,178,305,342,393,438,470,475,494,509,513,
528,537,538,539,554,555,1086],[1,2,7,11,32,36,38,80,145,167,174,185,196,270,
471,535,1087],[1,2,3,5,6,7,13,17,20,21,27,28,30,48,50,69,78,87,97,105,111,119,
122,123,124,129,130,131,132,144,151,152,154,159,160,162,163,172,178,324,344,
427,441,450,458,475,480,499,523,524,536,538,546,556,1088],[1,2,5,7,11,21,28,
30,33,36,38,47,53,66,101,110,113,118,119,149,150,159,174,221,282,431,440,496,
498,510,533,1089],[1,2,4,5,6,14,15,20,21,25,26,35,37,39,40,41,42,43,51,79,92,
102,126,139,141,153,169,177,188,190,192,349,361,389,564,574,1090],[1,2,5,7,11,
21,32,36,38,44,47,66,80,101,118,142,149,174,321,434,440,1091],[1,2,4,5,6,15,
18,20,21,23,25,26,27,34,35,37,39,40,41,42,45,76,79,93,104,120,121,130,141,143,
147,155,162,192,202,209,218,364,412,423,461,472,473,481,1092],[1,2,3,6,7,17,
20,23,27,28,36,37,39,43,45,48,52,106,121,124,125,130,147,152,153,178,201,211,
219,220,438,447,473,492,495,516,542,1093],[1,2,3,6,7,11,16,17,20,28,29,30,43,
45,48,73,74,112,113,117,122,124,147,153,186,219,371,418,443,447,465,476,552,
1094],[1,2,4,6,15,24,27,29,31,35,45,83,88,90,184,186,388,456,1095],[1,2,5,6,7,
14,16,21,25,26,27,28,30,33,36,41,44,53,101,102,107,110,111,142,150,151,157,
181,182,194,206,419,464,469,504,510,517,534,1096],[1,2,6,7,16,20,23,30,34,37,
38,39,43,45,49,76,114,117,121,131,147,153,205,208,213,218,283,449,465,481,503,
506,514,1097],[1,2,3,6,7,17,20,23,28,34,36,37,39,43,45,48,52,76,106,121,124,
125,147,153,180,201,211,218,220,286,476,481,492,516,542,545,1098],[1,2,3,6,7,
17,20,23,28,30,34,36,37,39,43,45,48,76,106,121,122,124,131,147,153,163,201,
211,218,219,417,447,449,481,515,542,545,1099],[1,2,3,4,5,6,7,15,16,17,20,21,
27,28,30,46,48,53,83,97,107,108,109,110,111,112,115,116,120,124,128,129,130,
131,144,151,152,154,157,158,159,160,162,163,178,419,427,435,470,478,483,511,
513,527,536,537,538,539,551,554,1100],[1,2,3,5,6,7,17,21,25,27,28,33,36,37,40,
44,50,53,101,105,110,111,126,142,150,152,178,201,211,214,215,393,467,468,469,
501,508,510,1101],[1,2,6,7,11,20,28,29,30,36,38,45,49,52,73,106,113,114,125,
131,147,163,173,174,186,216,371,378,404,492,497,506,515,1102],[1,2,6,13,18,29,
32,34,37,39,45,86,91,137,140,156,161,186,209,218,267,455,482,580,593,1103],[1,
2,4,12,15,22,27,32,67,82,83,187,196,420,548,1104],[1,2,4,5,6,12,15,20,21,22,
29,35,37,41,42,43,44,67,79,88,95,141,142,153,165,171,175,188,198,355,361,369,
579,583,1105],[1,2,4,7,12,15,22,27,28,30,32,46,51,67,82,83,109,115,151,154,
169,183,187,207,365,420,435,452,453,474,526,1106],[1,2,3,4,5,6,7,15,16,17,19,
20,21,27,28,30,42,46,48,50,53,75,79,105,107,108,109,110,111,115,116,117,119,
124,127,128,129,144,151,152,154,157,158,159,160,162,163,178,382,406,426,428,
446,451,475,502,509,511,528,531,536,551,554,1107],[1,2,5,6,7,14,16,19,21,25,
26,28,30,33,36,41,44,53,75,101,102,107,110,127,136,142,150,159,181,182,194,
204,206,446,462,464,484,510,517,547,1108],[1,2,6,7,16,20,23,27,28,30,37,38,39,
43,45,49,52,114,117,121,125,130,147,153,154,157,205,208,216,220,425,465,473,
497,514,516,520,1109],[1,2,6,13,29,32,36,89,94,103,137,140,161,196,317,512,
525,1110],[1,2,3,4,5,6,7,13,15,16,17,20,21,27,28,30,31,42,46,48,50,69,71,79,
83,84,105,107,108,109,112,115,116,117,120,122,123,124,127,128,129,132,144,157,
158,172,178,302,362,372,406,411,477,499,511,513,524,528,539,543,550,1111],[1,
2,6,7,16,20,23,27,30,37,38,39,43,45,49,114,117,121,130,131,147,153,158,160,
205,208,358,449,473,506,514,520,552,1112],[1,2,3,5,6,7,17,19,21,25,28,33,36,
37,40,44,50,53,75,101,105,110,126,142,150,179,201,204,211,215,281,467,468,484,
493,510,553,1113],[1,2,4,7,11,27,31,36,38,46,51,68,85,164,170,174,195,199,296,
463,530,1114],[1,2,3,5,6,7,14,17,21,25,26,27,28,30,33,38,41,44,47,48,49,50,
102,105,111,118,119,134,142,144,150,154,189,191,210,212,214,441,486,501,504,
505,533,544,1115],[1,2,5,6,16,18,20,25,26,30,34,36,41,43,45,76,104,106,117,
131,147,153,182,194,202,209,283,472,488,515,540,545,552,1116],[1,2,3,4,5,6,7,
15,16,17,18,20,21,23,25,26,28,30,35,36,37,38,39,40,41,42,47,48,49,50,79,93,
104,106,108,114,116,117,121,124,127,129,135,141,143,149,155,166,182,189,191,
192,194,201,205,208,210,211,212,364,405,406,460,514,540,542,565,587,594,596,
1117],[1,2,4,5,6,15,18,20,21,23,25,26,35,37,39,40,41,42,44,51,79,93,104,121,
141,142,143,155,169,190,192,198,349,355,364,557,571,1118],[1,2,3,5,6,7,17,18,
20,25,26,28,30,34,38,41,43,45,47,48,49,50,76,104,114,122,124,131,135,147,153,
163,189,191,202,209,210,212,213,417,460,472,476,488,503,506,1119],[1,2,5,6,7,
13,16,20,21,27,28,30,78,84,87,97,107,111,112,117,119,123,127,130,131,132,151,
152,154,157,158,159,160,162,163,172,288,358,429,450,458,477,483,509,523,527,
531,537,546,550,1120],[1,2,3,4,5,6,7,15,16,17,20,21,27,28,30,34,42,46,48,50,
52,76,79,105,107,108,109,112,115,116,117,120,122,124,125,130,131,144,151,152,
154,157,158,159,160,162,163,178,362,375,412,417,428,451,475,478,483,494,522,
537,539,543,556,1121],[1,2,4,7,11,12,24,31,36,38,46,51,68,96,164,170,174,195,
199,207,223,262,463,530,582,586,1122],[1,2,5,6,14,16,19,21,25,26,30,33,36,41,
44,75,101,102,107,119,136,142,150,182,194,204,284,462,484,498,505,517,534,
1123],[1,2,4,7,11,31,32,36,38,46,51,68,80,164,170,174,195,199,303,463,530,
1124],[1,2,3,5,6,7,17,18,20,25,26,27,28,38,41,43,45,47,48,49,50,52,104,114,
124,125,130,135,147,152,153,178,189,191,193,200,210,212,216,438,460,461,476,
497,500,520,1125],[1,2,5,6,7,13,16,20,21,27,28,30,38,52,53,81,84,87,97,107,
110,111,112,117,123,125,127,130,132,151,152,154,157,158,159,160,162,163,172,
326,342,419,425,450,451,477,509,521,523,527,537,549,550,555,1126],[1,2,3,5,6,
7,14,17,19,21,25,26,28,30,33,38,41,44,47,48,49,50,75,102,105,118,119,129,134,
136,142,150,159,189,191,204,210,212,222,382,462,486,493,505,507,533,1127],[1,
2,5,6,7,16,18,20,25,26,27,28,30,36,41,43,45,52,104,106,117,125,130,147,153,
154,157,182,193,194,200,425,461,492,495,500,540,552,1128],[1,2,5,6,7,16,18,20,
25,26,28,30,34,36,41,43,45,52,76,104,106,112,117,125,147,153,163,182,193,194,
200,202,209,375,465,472,492,500,540,545,1129],[1,2,3,4,5,6,7,15,16,17,20,21,
27,28,30,83,97,107,108,109,111,116,117,119,120,122,128,129,130,131,144,151,
154,157,158,159,160,162,163,178,290,344,358,429,451,470,478,480,502,511,513,
527,536,543,556,1130],[1,2,4,5,6,7,14,21,22,23,25,26,29,35,37,39,40,41,42,43,
44,46,51,52,53,92,93,102,155,165,175,176,183,188,190,192,193,197,198,203,206,
215,217,220,489,559,566,571,574,583,595,1131],[1,2,4,5,6,15,18,23,25,26,29,32,
34,35,37,39,40,41,42,45,88,91,133,140,141,143,148,156,161,176,177,186,192,202,
203,209,218,448,456,491,561,578,580,593,1132],[1,4,5,6,7,12,23,25,26,35,39,40,
42,43,44,46,51,52,53,93,95,133,177,181,188,190,192,193,197,198,207,215,217,
220,341,564,569,571,576,579,595,1133],[1,2,4,7,12,15,22,24,31,36,38,46,51,70,
90,96,98,146,164,166,170,183,195,199,207,223,343,454,529,560,582,586,591,
1134],[1,2,4,5,6,7,18,20,22,23,25,29,35,37,39,40,41,42,43,44,46,51,52,53,121,
133,139,143,156,171,175,177,181,183,188,190,197,198,200,203,215,217,220,487,
557,559,564,568,576,583,1135],[1,4,5,6,7,12,14,18,23,35,40,42,43,44,46,51,52,
53,92,95,143,188,190,197,198,200,206,207,215,217,220,271,557,566,568,569,574,
579,1136],[1,2,4,6,7,15,29,32,36,38,82,94,140,145,148,161,166,167,185,196,485,
532,548,567,575,581,589,1137],[1,5,8,9,10,14,58,224,230,234,236,1138],[1,5,8,
9,10,19,58,224,225,235,240,1139],[1,2,8,9,10,11,56,224,226,231,237,1140],[1,4,
8,9,10,12,61,224,227,228,229,241,1141],[1,3,5,7,8,9,10,50,54,55,57,58,60,62,
63,224,248,254,602,603,604,1142],[1,3,8,54,64,258,606,1143],[1,3,9,62,64,258,
605,1144],[1,2,4,9,11,12,13,15,22,67,72,227,233,260,1145],[1,2,4,8,11,12,13,
15,22,67,72,226,228,260,1146],[1,4,5,6,10,12,14,18,23,35,40,42,92,95,143,229,
230,239,271,1147],[1,2,5,10,11,19,21,66,75,231,240,261,1148],[1,2,4,8,11,12,
24,31,68,96,226,228,262,1149],[1,2,4,10,11,12,24,31,68,96,229,231,238,262,
1150],[1,2,5,9,11,19,21,56,66,75,225,237,261,617,1151],[1,2,5,8,11,19,21,58,
66,75,226,235,261,615,1152],[1,2,5,6,9,13,14,18,20,21,25,26,41,77,102,104,233,
234,253,269,1153],[1,2,10,11,32,80,231,270,1154],[1,2,6,9,13,18,29,37,39,86,
156,233,253,267,1155],[1,4,5,6,10,12,14,18,23,35,40,42,61,92,95,143,230,241,
271,630,1156],[1,4,5,6,9,12,14,18,23,35,40,42,92,95,143,227,234,253,271,
1157],[1,4,5,6,8,12,14,18,23,35,40,42,58,92,95,143,228,236,271,627,1158],[1,2,
4,10,11,12,24,31,61,68,96,231,241,262,626,1159],[1,2,4,10,11,12,13,15,22,61,
67,72,229,241,260,641,1160],[1,2,4,9,11,12,24,31,56,68,96,227,237,262,624,
1161],[1,2,7,9,13,28,30,38,56,60,65,78,81,172,233,242,327,618,631,1162],[1,2,
6,9,20,23,34,37,39,45,56,59,76,121,147,218,232,250,481,613,635,1163],[1,2,3,5,
7,9,17,19,21,28,50,53,56,62,75,105,110,179,225,245,281,617,640,1164],[1,2,5,8,
11,21,44,58,66,142,226,244,434,615,1165],[1,2,9,13,16,56,65,84,233,249,263,
618,1166],[1,2,5,9,19,21,36,44,56,75,101,142,225,251,484,617,1167],[1,2,5,6,9,
19,21,25,33,37,40,56,59,75,126,150,204,225,250,553,616,617,1168],[1,2,5,6,9,
14,19,21,25,26,33,41,55,56,59,75,102,136,150,204,225,246,462,608,616,617,
1169],[1,2,5,8,11,21,33,58,66,150,226,247,282,615,1170],[1,2,5,6,9,18,20,25,
26,34,41,45,55,56,59,76,104,147,202,209,232,246,472,610,613,619,1171],[1,2,5,
7,8,11,21,28,30,53,57,58,66,110,113,119,159,226,243,431,614,615,1172],[1,2,4,
9,11,13,15,22,31,56,65,71,72,99,233,237,265,618,632,1173],[1,2,3,9,13,17,56,
62,65,69,233,245,259,618,642,1174],[1,2,5,6,8,11,14,21,25,26,37,40,41,58,66,
100,102,126,155,226,236,285,615,625,1175],[1,2,3,6,7,9,17,20,28,34,48,52,56,
62,76,124,125,180,232,245,286,613,633,1176],[1,2,6,7,9,20,34,38,43,49,56,60,
76,114,153,213,232,242,503,613,636,1177],[1,2,5,6,9,13,20,21,27,41,55,56,59,
65,77,87,123,132,233,246,332,611,612,618,1178],[1,2,5,9,16,19,21,30,56,75,107,
119,225,249,284,617,1179],[1,2,5,7,8,11,21,36,38,47,57,58,66,101,118,149,174,
226,252,440,615,629,1180],[1,2,3,5,7,8,11,16,17,21,28,30,50,54,57,58,66,74,
105,107,113,127,129,226,248,444,609,614,615,1181],[1,2,9,13,36,56,65,103,233,
251,294,618,1182],[1,2,6,9,11,20,29,34,56,73,76,91,232,237,264,613,637,1183],[
1,2,6,9,16,20,30,34,56,76,117,131,232,249,283,613,1184],[1,2,5,7,9,19,21,38,
44,47,56,60,75,118,142,222,225,242,507,617,644,1185],[1,2,6,9,20,34,36,43,56,
76,106,153,232,251,545,613,1186],[1,2,6,9,13,29,32,37,56,59,65,86,89,137,233,
250,335,618,638,1187],[1,3,5,6,7,9,26,34,43,45,47,48,49,50,52,55,60,62,180,
193,202,212,213,216,219,232,254,600,619,633,636,1188],[1,2,9,11,27,56,85,97,
237,268,628,1189],[1,2,3,6,7,9,13,17,20,27,28,30,48,59,60,62,69,122,123,124,
144,172,178,233,257,524,612,631,642,1190],[1,2,6,9,18,29,34,37,39,45,56,59,91,
156,186,209,218,232,250,580,610,635,637,1191],[1,2,4,10,22,24,31,36,51,61,98,
164,199,238,256,591,634,1192],[1,4,5,6,8,12,35,42,43,44,58,95,188,198,228,244,
579,627,1193],[1,2,3,5,6,7,8,11,16,17,36,37,38,41,48,50,54,57,58,74,100,174,
189,194,201,208,226,248,562,609,625,629,1194],[1,2,4,7,9,12,24,31,38,46,51,56,
60,96,170,199,207,223,227,242,586,624,667,1195],[1,4,5,6,7,8,12,35,42,46,51,
52,53,57,58,95,190,197,207,217,228,243,569,627,646,1196],[1,2,7,9,32,38,56,60,
94,167,196,242,581,643,1197],[1,4,5,6,10,23,26,42,44,51,61,93,190,198,239,256,
571,639,1198],[1,2,4,9,12,24,31,36,51,56,96,164,199,227,251,582,624,1199],[1,
2,4,10,12,15,22,24,31,61,70,90,96,98,146,238,241,343,634,657,1200],[1,3,5,7,9,
14,19,33,44,47,50,53,55,60,62,134,136,179,206,214,221,222,225,254,598,608,640,
644,1201],[1,4,5,6,10,12,23,25,26,35,39,40,42,61,93,95,133,177,192,239,241,
341,639,662,1202],[1,2,4,10,11,31,51,61,68,199,231,256,463,626,1203],[1,2,4,6,
9,13,20,22,27,29,31,32,35,37,56,59,99,123,137,168,171,184,187,233,250,570,612,
632,638,1204],[1,2,4,5,6,9,13,21,22,27,29,31,32,41,42,55,56,59,99,132,137,138,
165,184,187,233,246,585,611,632,638,1205],[1,4,5,6,7,10,23,26,42,43,46,52,53,
61,63,93,188,193,197,220,239,255,595,639,652,1206],[1,2,4,7,10,12,15,22,28,46,
51,61,63,67,115,169,183,207,229,255,526,641,669,1207],[1,2,4,10,12,15,22,30,
51,61,67,109,169,229,256,474,641,1208],[1,2,9,11,32,56,80,94,237,266,643,
1209],[1,3,6,7,9,18,34,43,45,48,49,52,59,60,62,135,180,200,209,213,216,219,
232,257,599,610,633,636,1210],[1,2,3,9,17,27,30,56,62,97,144,160,245,344,628,
1211],[1,2,7,9,16,27,28,56,97,152,157,249,342,628,1212],[1,2,5,6,9,26,29,34,
39,40,41,45,55,56,59,91,176,186,202,218,232,246,578,619,635,637,1213],[1,2,5,
6,7,8,11,28,30,36,37,38,41,47,49,57,58,100,113,174,182,191,205,211,226,252,
588,614,625,629,1214],[1,2,4,7,10,11,31,36,38,46,61,63,68,164,170,174,195,231,
255,530,626,654,1215],[1,4,5,6,7,10,14,40,42,44,46,52,53,61,63,92,197,198,206,
215,230,255,566,630,659,1216],[1,4,5,6,10,14,40,42,43,51,61,92,188,190,230,
256,574,630,1217],[1,2,9,32,36,56,94,145,196,251,589,643,1218],[1,3,5,6,7,9,
19,25,33,44,47,48,49,50,53,59,60,62,179,181,204,210,214,221,222,225,257,601,
616,640,644,1219],[1,2,3,5,7,9,13,17,21,27,28,30,50,55,60,62,69,105,129,132,
144,172,178,233,254,499,611,631,642,1220],[1,2,4,7,10,22,24,31,38,46,51,61,63,
98,170,183,199,223,238,255,560,634,668,1221],[1,2,3,5,6,7,9,11,16,17,36,37,38,
41,48,50,55,56,59,60,62,74,100,174,189,194,201,208,237,242,245,246,249,250,
251,254,257,562,621,648,649,650,658,660,664,1222],[1,3,6,7,9,18,34,43,45,48,
49,52,59,60,62,135,180,200,209,213,216,219,253,257,599,645,651,655,1223],[1,3,
5,7,8,14,19,33,44,47,50,53,54,57,58,134,136,179,206,214,221,222,235,236,243,
244,247,248,252,598,622,623,647,653,663,665,666,1224],[1,3,5,7,9,14,19,33,44,
47,50,53,55,60,62,134,136,179,206,214,221,222,234,254,598,620,656,661,1225],[
1,2,13,64,65,1226],[1,4,24,64,70,1227],[1,8,9,10,64,224,605,606,607,1228],[1,
2,4,11,12,13,15,22,24,31,65,67,68,70,71,72,90,96,98,99,146,260,262,265,279,
307,343,439,672,676,1229],[1,2,4,5,6,11,12,13,14,15,18,20,21,22,23,25,26,29,
35,37,39,40,41,42,66,67,72,73,77,79,86,88,92,93,95,100,102,104,121,126,133,
139,141,143,155,156,165,171,175,176,177,192,203,260,267,269,271,274,280,285,
292,295,341,364,369,370,377,389,487,489,491,597,673,708,714,795,1230],[1,2,4,
5,11,12,19,21,24,31,32,66,68,75,80,94,96,138,261,262,266,270,303,321,334,679,
683,731,1231],[1,2,4,5,6,11,12,13,15,19,20,21,22,27,29,35,37,41,42,66,67,72,
73,75,77,79,85,86,88,95,100,111,128,132,141,162,165,171,175,260,261,274,277,
280,289,318,328,338,369,377,413,426,673,681,691,692,715,1232],[1,2,4,5,6,11,
13,15,19,20,21,22,27,29,31,34,41,42,65,66,71,72,73,75,76,77,79,83,85,87,91,97,
99,111,120,123,128,130,132,162,165,261,264,265,268,275,276,277,280,301,318,
328,329,332,384,411,412,413,426,450,470,685,691,695,700,775,870,1233],[1,2,4,
11,12,13,15,16,22,24,31,65,67,68,71,72,84,90,96,98,99,146,260,263,265,279,291,
307,337,439,672,696,1234],[1,2,4,6,11,13,15,20,22,29,31,32,34,35,37,65,71,72,
73,76,80,82,86,88,89,91,94,99,137,140,148,161,171,264,265,266,273,274,287,299,
310,335,395,430,448,482,485,512,688,703,743,776,817,1235],[1,2,4,5,6,11,12,13,
15,20,21,22,29,33,35,37,41,42,66,67,72,73,77,79,86,88,95,100,141,150,165,171,
175,260,274,280,282,363,369,377,415,673,761,1236],[1,2,3,4,11,12,13,15,16,17,
22,24,31,65,67,68,69,71,72,74,84,90,96,98,99,116,146,259,260,263,265,279,291,
302,307,322,337,439,672,674,684,696,718,1237],[1,2,3,5,6,7,13,14,17,18,20,21,
25,26,27,28,30,38,41,47,48,49,50,65,69,77,78,81,87,102,104,105,114,118,122,
123,124,129,132,134,135,144,172,178,189,191,210,212,259,269,297,308,320,324,
327,330,331,332,336,416,460,486,499,524,677,680,682,768,777,778,792,1238],[1,
2,4,11,12,13,15,22,27,32,67,72,80,82,83,85,87,89,187,260,273,276,403,420,422,
689,794,1239],[1,2,4,6,11,12,20,24,27,29,31,32,68,73,80,85,96,130,161,168,184,
262,270,275,287,296,300,338,352,360,442,675,698,722,786,857,1240],[1,2,4,6,11,
12,20,24,27,29,31,32,34,68,73,76,80,85,91,94,96,97,168,184,262,264,266,268,
296,300,316,338,352,387,442,706,722,771,886,1241],[1,2,3,6,13,17,18,29,32,36,
37,39,65,69,86,89,103,137,145,156,201,259,267,294,313,317,319,335,356,385,414,
678,701,758,769,850,1242],[1,2,4,11,13,15,22,27,31,32,65,71,72,80,85,94,97,99,
187,265,266,268,289,325,360,368,397,403,755,919,962,1243],[1,2,4,5,6,11,13,15,
20,21,22,24,29,30,31,32,36,41,42,66,68,71,72,73,77,78,79,80,82,89,90,103,109,
138,146,164,165,168,182,272,273,279,280,298,300,311,314,317,331,334,350,373,
383,396,408,421,693,709,717,764,889,993,1244],[1,2,4,5,6,11,13,15,20,21,22,24,
29,31,32,41,42,43,66,68,71,72,73,77,79,80,82,89,90,138,146,153,165,168,188,
273,279,280,300,334,361,379,408,421,443,693,713,902,1245],[1,2,3,4,6,11,13,15,
16,17,20,22,29,31,32,35,36,37,65,69,71,72,73,74,80,82,84,86,88,89,99,103,116,
137,148,164,171,201,259,263,265,273,274,293,294,298,302,310,322,335,346,356,
395,401,414,430,674,688,690,723,727,753,769,944,1246],[1,2,4,11,12,13,15,22,
24,27,31,32,65,67,68,71,72,80,82,83,85,87,89,90,96,98,99,146,187,260,265,273,
276,279,289,296,303,307,325,352,397,403,420,422,439,672,689,732,755,976,1030,
1247],[1,2,4,5,6,7,11,13,15,20,21,22,27,28,29,30,31,38,41,42,46,52,53,65,66,
71,72,73,77,78,79,81,83,85,87,99,108,109,110,113,115,119,120,123,125,128,131,
132,151,152,154,159,160,163,165,170,172,197,265,272,276,278,280,290,301,305,
323,327,328,329,332,333,340,348,372,376,378,391,411,428,431,435,458,478,490,
494,502,521,523,546,549,554,686,695,704,740,826,901,909,936,1006,1007,1248],[
1,2,4,7,11,12,13,15,22,24,28,30,31,36,38,46,65,67,68,71,72,78,81,90,96,98,99,
103,108,109,113,115,146,164,166,170,172,174,195,260,265,272,278,279,293,294,
298,307,327,340,345,351,372,383,391,396,439,529,530,672,686,690,709,719,724,
739,904,1249],[1,2,4,5,6,11,12,13,15,20,21,22,29,35,37,41,42,45,66,67,72,73,
77,79,86,88,95,100,141,147,165,171,175,186,260,274,280,369,371,377,392,423,
455,456,673,790,998,1250],[1,2,4,5,6,11,13,15,19,20,21,22,24,27,29,31,32,41,
42,66,68,71,72,73,75,77,79,80,82,85,89,90,111,128,132,138,140,146,162,165,168,
261,273,277,279,280,299,300,318,321,325,328,334,352,368,408,413,421,426,683,
687,691,693,712,744,749,862,1251],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,
28,29,30,31,38,41,42,46,48,50,65,66,69,71,72,73,74,77,78,79,81,83,84,85,87,99,
105,107,108,109,112,113,115,116,117,120,122,123,124,127,128,129,132,144,157,
158,165,170,172,178,189,259,263,265,272,276,278,280,288,297,301,302,306,315,
320,322,324,326,327,328,329,332,336,340,362,372,391,406,411,418,444,457,477,
499,511,513,524,528,539,543,550,674,686,695,745,757,759,777,791,793,899,972,
1111,1252],[1,2,4,6,11,13,15,20,22,29,31,32,35,36,37,65,71,72,73,80,82,86,88,
89,99,103,137,148,164,171,265,273,274,293,294,298,310,335,395,430,688,690,961,
1253],[1,2,4,5,6,7,11,13,15,20,21,22,24,28,29,31,32,36,38,41,42,46,47,49,66,
68,71,72,73,77,79,80,81,82,89,90,101,103,106,114,115,118,138,145,146,149,164,
165,166,167,168,170,173,174,185,191,195,273,278,279,280,298,300,312,313,330,
334,339,345,351,359,381,402,404,405,408,421,440,529,530,532,535,558,563,572,
590,693,721,739,741,897,925,977,1019,1053,1254],[1,2,4,6,11,13,15,20,22,27,29,
31,32,35,37,65,71,72,73,80,82,85,86,88,89,99,130,137,140,148,171,187,265,270,
273,274,275,289,299,310,316,325,335,368,387,395,397,403,430,688,734,755,779,
819,828,1255],[1,2,4,5,6,11,12,13,15,20,21,22,27,29,32,34,35,37,41,42,66,67,
72,73,76,77,79,80,85,86,88,91,95,100,120,123,130,137,140,141,148,161,162,165,
171,175,260,264,274,275,280,287,299,301,318,321,325,369,377,384,387,397,412,
430,448,482,673,685,687,734,736,742,776,836,1256],[1,2,4,5,6,11,13,15,16,20,
21,22,27,29,31,36,41,42,65,66,71,72,73,77,79,83,84,85,87,99,103,120,123,128,
132,164,165,194,263,265,276,280,291,293,294,298,301,328,329,332,337,374,380,
400,411,432,690,695,696,754,781,900,963,1257],[1,2,4,5,6,11,12,13,15,20,21,22,
24,27,29,31,32,35,37,41,42,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,
90,95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,171,175,184,
187,260,265,273,274,276,279,280,300,301,307,310,328,329,332,334,335,369,377,
388,395,403,408,411,420,421,422,424,430,439,442,570,577,584,585,672,673,688,
689,693,694,695,816,868,922,1025,1057,1258],[1,2,4,5,6,11,13,15,20,21,22,24,
29,31,32,41,42,44,66,68,71,72,73,77,79,80,82,89,90,138,142,146,165,168,198,
273,279,280,300,334,355,390,408,421,434,693,789,956,1259],[1,2,4,5,6,11,13,15,
20,21,22,27,29,31,41,42,51,65,66,71,72,73,77,79,83,85,87,99,120,123,128,132,
165,169,190,199,265,276,280,301,328,329,332,349,357,365,366,386,399,411,433,
695,728,782,783,1050,1260],[1,2,4,6,11,13,15,20,22,29,31,32,35,37,51,65,71,72,
73,80,82,86,88,89,99,137,148,169,171,199,265,273,274,310,335,357,386,395,430,
433,688,783,821,1261],[1,2,4,11,12,13,15,22,24,31,51,65,67,68,71,72,90,96,98,
99,146,169,199,260,265,279,307,357,386,433,439,454,463,672,783,939,1262],[1,2,
4,5,6,11,13,15,20,21,22,27,29,31,32,41,42,65,66,71,72,73,77,79,80,83,85,87,99,
111,120,123,128,132,140,165,187,265,276,277,280,289,299,301,316,321,325,328,
329,332,338,360,397,403,411,687,692,695,716,755,863,1001,1263],[1,2,4,5,6,11,
13,15,20,21,22,24,27,29,31,32,34,41,42,66,68,71,72,73,76,77,79,80,82,85,89,90,
91,111,120,123,130,138,146,162,165,168,184,264,273,275,277,279,280,289,296,
300,301,318,334,338,360,384,387,408,412,421,442,685,692,693,706,730,763,786,
885,1264],[1,2,4,5,6,11,12,13,15,20,21,22,27,29,32,35,37,41,42,66,67,72,73,77,
79,80,82,83,85,86,87,88,89,95,100,141,165,171,175,187,260,273,274,276,280,304,
308,309,319,369,377,398,403,409,420,422,673,689,733,785,834,931,1265],[1,2,4,
6,7,11,13,15,16,20,22,28,29,30,31,32,35,37,38,46,65,71,72,73,78,80,81,82,84,
86,88,89,99,108,109,113,115,137,148,170,171,172,208,263,265,272,273,274,278,
291,310,327,335,337,340,372,391,394,395,407,410,430,437,686,688,696,738,762,
772,773,965,1266],[1,2,3,6,13,17,29,32,34,36,37,65,69,86,89,91,94,103,137,140,
161,201,259,294,335,356,414,482,512,703,769,961,1267],[1,2,3,5,6,7,13,17,19,
20,21,27,28,30,34,38,41,48,50,52,53,65,69,75,76,77,78,81,87,97,105,110,111,
119,122,123,124,125,129,130,131,132,144,151,152,154,159,160,162,163,172,178,
179,180,189,259,281,286,297,320,324,327,332,336,344,348,376,382,384,393,413,
417,427,438,441,450,458,475,480,499,521,522,523,524,536,538,546,549,551,556,
700,777,871,875,923,947,1006,1062,1088,1268],[1,2,6,13,16,29,32,34,36,37,65,
84,86,89,91,94,103,137,140,161,263,294,335,346,401,482,512,703,753,961,1269],[
1,2,5,6,7,13,16,19,20,21,27,28,30,34,38,41,52,53,65,75,76,77,78,81,84,87,97,
107,110,111,112,117,119,123,125,127,130,131,132,151,152,154,157,158,159,160,
162,163,172,263,283,284,288,306,315,326,327,332,342,348,358,375,376,384,413,
419,425,429,446,450,451,458,477,483,509,521,523,527,531,537,546,549,550,555,
700,757,865,877,912,949,1006,1120,1126,1270],[1,2,4,5,6,7,11,13,15,20,21,22,
28,29,33,36,38,41,42,47,49,51,66,72,73,77,79,81,101,103,106,114,118,149,150,
165,166,169,173,174,190,191,280,282,312,330,345,349,359,363,399,402,404,405,
415,433,440,721,761,782,1077,1271],[1,2,4,5,6,7,11,13,15,20,21,22,27,28,29,36,
38,41,42,43,47,49,66,72,73,77,79,81,85,101,103,106,111,114,118,149,153,165,
166,173,174,188,191,277,280,289,312,330,338,345,359,361,379,402,404,405,440,
443,692,713,721,1049,1272],[1,2,5,6,7,13,16,20,21,23,25,27,28,29,30,32,37,38,
39,40,41,47,49,65,77,78,81,84,86,87,89,107,112,114,117,118,121,123,126,127,
132,137,157,158,167,172,191,203,205,208,263,288,295,304,306,311,315,326,327,
330,331,332,335,339,394,398,407,410,416,436,437,459,477,514,550,705,711,746,
747,757,767,768,784,926,933,965,1273],[1,2,4,5,6,11,13,15,19,20,21,22,27,29,
30,36,41,42,43,66,72,73,75,77,78,79,85,103,111,128,132,153,162,165,182,188,
261,277,280,314,318,328,331,361,373,379,396,413,426,443,691,713,764,803,880,
1274],[1,2,4,5,6,11,13,15,20,21,22,27,29,31,32,35,37,41,42,65,66,71,72,73,77,
79,80,82,83,85,86,87,88,89,99,120,123,128,132,137,148,161,162,165,171,187,265,
273,274,276,280,287,289,301,310,318,321,325,328,329,332,335,338,360,368,387,
395,397,403,411,430,688,695,715,730,736,749,755,836,874,879,1010,1275],[1,2,4,
5,6,7,11,13,15,20,21,22,28,29,30,33,36,41,42,46,52,53,66,72,73,77,78,79,103,
109,110,113,115,119,125,131,150,159,163,165,172,182,197,280,282,314,323,331,
333,348,363,373,376,378,391,396,415,428,431,740,761,764,915,940,1276],[1,2,6,
7,13,16,18,28,29,30,32,36,37,38,39,65,78,81,84,86,89,103,137,156,167,172,185,
205,208,211,263,267,294,311,319,327,335,339,346,350,353,354,381,394,401,407,
410,436,437,678,705,753,801,830,843,892,896,965,1277],[1,2,4,7,11,12,13,15,22,
27,28,30,32,46,51,67,72,80,82,83,85,87,89,109,113,115,151,152,154,160,169,172,
183,187,207,260,273,276,290,305,365,366,391,403,420,422,433,435,452,453,474,
490,523,526,689,704,728,952,964,978,991,1106,1278],[1,2,4,5,6,7,11,13,15,20,
21,22,28,29,32,36,38,41,42,44,47,49,66,72,73,77,79,80,81,101,103,106,114,118,
140,142,149,165,166,173,174,191,198,280,299,312,321,325,330,345,355,359,390,
402,404,405,434,440,687,721,789,1091,1279],[1,2,4,5,6,11,13,14,15,18,20,21,22,
23,25,26,29,35,37,39,40,41,42,43,51,66,72,73,77,79,86,92,93,100,102,104,121,
126,139,141,143,153,155,156,165,169,171,175,176,177,188,190,192,203,269,280,
285,292,295,349,361,364,370,377,379,389,399,433,443,489,564,574,597,713,714,
782,1090,1280],[1,2,4,5,11,13,15,21,22,24,27,31,32,66,68,72,80,82,85,89,94,98,
99,111,128,132,138,146,187,266,270,273,277,296,303,307,316,321,325,328,334,
352,360,368,397,403,712,731,749,756,779,919,958,976,1001,1281],[1,2,4,6,11,13,
15,20,22,29,31,32,35,37,65,71,72,73,80,82,86,88,89,99,137,148,171,196,265,273,
274,310,335,395,430,471,525,548,688,809,920,1002,1282],[1,2,4,5,6,11,13,14,15,
18,20,21,22,23,25,26,27,29,33,35,37,39,40,41,42,66,72,73,77,79,85,86,92,93,
100,102,104,111,121,126,139,141,143,150,155,156,165,171,175,176,177,192,203,
269,277,280,282,285,289,292,295,338,363,364,370,377,389,415,489,504,508,597,
692,714,761,851,1283],[1,2,4,5,6,11,13,15,18,20,21,22,23,25,26,27,29,31,32,35,
37,39,40,41,42,65,71,72,73,77,80,82,86,87,88,89,99,100,104,121,123,126,132,
133,137,138,139,141,143,148,155,156,165,168,171,175,176,177,184,187,192,203,
265,267,273,274,292,295,304,309,310,319,332,335,370,377,395,398,409,421,422,
424,430,487,491,570,585,597,678,688,708,710,733,747,752,774,822,922,931,
1284],[1,2,4,6,7,13,15,16,18,27,28,29,30,31,32,36,37,38,39,71,78,81,84,86,87,
89,103,109,148,156,157,167,184,195,205,208,211,267,272,309,310,317,326,337,
339,351,353,354,367,380,394,398,401,407,410,416,424,436,710,772,780,811,818,
830,840,926,1003,1285],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,
28,29,30,35,36,37,38,39,40,41,42,47,48,49,50,66,69,72,73,74,77,78,79,81,84,86,
92,93,100,101,102,103,104,105,106,107,108,112,113,114,116,117,118,121,122,124,
126,127,129,134,135,139,141,143,149,155,156,165,166,171,173,174,175,176,177,
182,189,191,192,194,201,203,205,208,210,211,212,269,280,285,292,295,306,312,
315,320,322,330,336,340,345,353,356,359,362,364,370,373,377,389,400,402,404,
405,406,407,418,436,440,444,459,460,467,486,489,514,517,540,542,562,565,573,
587,588,592,594,596,597,682,711,714,720,721,735,791,820,841,854,994,1051,1056,
1074,1117,1286],[1,2,4,5,6,7,11,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,
39,40,41,42,44,46,52,53,66,72,73,77,79,86,92,93,100,102,104,109,110,113,115,
119,121,125,126,131,139,141,142,143,155,156,159,163,165,171,172,175,176,177,
181,192,197,198,203,206,215,269,280,285,292,295,323,333,348,355,364,370,376,
377,378,389,390,391,428,431,434,464,468,489,505,519,566,576,597,714,740,789,
847,916,917,1024,1064,1287],[1,2,4,11,12,13,15,22,27,32,67,72,80,82,83,85,87,
89,187,196,260,273,276,403,420,422,471,525,548,689,1002,1104,1288],[1,2,3,4,5,
6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,40,41,42,
48,50,66,69,72,73,74,77,78,79,81,84,86,92,93,100,102,103,104,105,107,108,112,
113,116,117,121,122,124,126,127,129,139,141,143,149,155,156,165,171,173,175,
176,177,182,189,192,201,203,205,269,280,285,292,295,306,314,315,320,322,331,
336,340,354,356,359,362,364,370,373,377,389,394,396,406,418,432,436,444,489,
592,594,597,677,707,714,746,760,764,791,820,872,966,1013,1289],[1,2,4,5,6,7,
11,13,15,16,20,21,22,27,28,29,32,36,38,41,42,47,49,66,72,73,77,79,81,84,87,89,
101,103,106,114,118,149,157,165,166,173,174,185,187,191,194,280,291,293,304,
308,312,317,326,330,345,346,347,359,374,381,400,402,404,405,409,422,432,437,
440,445,721,781,785,832,844,937,951,988,1028,1290],[1,2,4,5,6,11,13,15,20,21,
22,27,29,30,34,36,41,42,44,66,72,73,76,77,78,79,85,91,103,120,123,130,142,162,
165,182,198,264,275,280,301,314,318,331,355,373,384,390,396,412,434,685,764,
789,942,957,1291],[1,2,4,5,6,11,13,15,16,20,21,22,27,29,34,36,41,42,51,66,72,
73,76,77,79,84,85,91,103,120,123,130,162,165,169,190,194,264,275,280,291,293,
301,318,349,384,399,400,412,432,433,685,781,782,906,946,1292],[1,2,3,4,5,6,7,
11,13,15,16,17,20,21,22,24,28,29,30,31,32,36,38,41,42,48,50,66,68,69,71,72,73,
74,77,78,79,80,81,82,84,89,90,103,105,107,108,112,113,116,117,122,124,127,129,
138,146,165,168,189,194,195,273,279,280,291,293,300,302,306,315,320,322,334,
336,337,340,346,351,362,383,400,406,408,410,414,418,421,432,437,444,693,718,
723,724,738,781,791,802,938,985,1014,1293],[1,2,3,4,5,6,7,11,13,15,16,17,20,
21,22,27,28,29,30,34,38,41,42,46,48,50,52,53,66,69,72,73,74,76,77,78,79,81,84,
85,91,105,107,108,109,110,112,113,115,116,117,119,120,122,123,124,125,127,129,
130,131,144,151,152,154,157,158,159,160,162,163,165,172,178,180,189,197,264,
275,280,283,286,301,306,315,318,320,322,323,333,336,340,348,358,362,375,376,
378,384,391,406,412,417,418,425,427,428,431,438,444,451,457,458,475,477,478,
480,483,490,494,521,522,524,531,537,539,543,551,555,556,685,699,740,791,875,
877,894,899,901,947,948,949,959,1047,1121,1294],[1,2,4,7,11,13,15,22,27,28,30,
31,32,36,38,46,65,71,72,78,80,81,85,99,103,108,109,113,115,164,170,172,187,
265,272,278,289,293,294,298,325,327,340,372,391,397,403,686,690,755,960,1015,
1295],[1,2,4,5,6,11,13,14,15,18,20,21,22,23,25,26,27,29,31,32,35,37,39,40,41,
42,65,66,71,72,73,77,79,83,85,86,87,89,92,93,99,100,102,104,120,121,123,126,
128,132,137,138,139,141,143,155,156,165,168,171,175,176,177,184,187,192,203,
265,269,276,280,285,292,295,301,304,308,309,328,329,332,335,364,370,377,389,
398,409,411,421,422,424,489,570,585,597,680,695,714,747,748,751,752,785,834,
922,990,1296],[1,2,4,6,7,13,15,16,18,27,28,29,30,31,32,36,37,38,39,46,71,78,
81,84,86,87,89,103,115,145,148,156,158,170,184,205,208,211,267,278,288,309,
310,311,313,337,353,354,374,383,394,398,401,407,416,424,436,437,445,710,729,
773,808,815,830,933,934,1022,1297],[1,2,4,5,6,11,13,14,15,18,19,20,21,22,23,
25,26,27,29,33,35,37,39,40,41,42,66,72,73,75,77,79,85,86,92,93,100,102,104,
111,121,126,128,132,136,139,141,143,150,155,156,162,165,171,175,176,177,192,
203,204,261,269,277,280,282,285,292,295,318,328,363,364,370,377,389,413,415,
426,462,489,504,508,553,597,691,702,714,761,825,851,953,1076,1298],[1,2,4,6,
11,12,13,15,20,22,24,27,29,31,32,35,37,65,67,68,71,72,73,80,82,85,86,88,89,90,
96,98,99,120,123,137,146,148,168,171,184,187,260,265,273,274,279,289,300,301,
303,307,310,325,335,352,395,397,403,430,439,442,570,584,672,688,742,755,766,
816,876,976,980,1299],[1,2,4,6,11,12,13,15,20,22,24,27,29,31,32,35,37,67,68,
70,71,72,73,80,83,85,86,87,88,90,96,98,99,120,123,137,146,148,168,171,184,187,
262,274,276,279,289,296,300,301,303,307,343,352,388,397,403,424,430,439,442,
570,584,676,694,722,732,763,816,876,980,1030,1300],[1,2,4,5,6,7,11,13,14,15,
16,18,20,21,22,23,25,26,28,29,35,36,37,38,39,40,41,42,47,49,66,72,73,77,79,81,
84,86,92,93,100,101,102,103,104,106,112,114,118,121,126,127,139,141,143,149,
155,156,165,166,171,173,174,175,176,177,191,192,194,203,208,211,269,280,285,
291,292,293,295,312,314,315,330,345,353,359,364,370,377,385,389,400,401,402,
404,405,407,432,440,489,573,587,597,707,714,721,781,841,873,914,987,1017,
1301],[1,2,3,4,5,6,7,13,14,15,16,17,18,20,21,25,26,27,28,31,32,36,38,41,46,47,
48,49,50,69,71,77,81,84,87,89,102,103,104,105,112,114,115,116,118,120,124,127,
128,134,135,138,149,157,167,168,170,173,178,185,189,191,195,210,212,269,278,
297,302,304,314,315,320,326,329,330,339,351,359,381,409,414,421,432,437,445,
460,486,528,539,558,572,682,707,751,759,765,767,787,951,977,985,999,1302],[1,
2,4,6,7,11,13,15,20,22,28,29,30,31,32,35,37,38,46,51,65,71,72,73,78,80,81,82,
86,88,89,99,108,109,113,115,137,148,169,170,171,172,199,217,265,272,273,274,
278,310,327,335,340,357,372,386,391,395,430,433,452,453,479,518,686,688,783,
805,831,881,991,1079,1303],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,41,42,45,66,
72,73,77,79,85,87,89,111,147,165,186,187,277,280,289,304,308,338,371,392,409,
422,423,692,785,790,1304],[1,2,3,4,5,6,13,14,15,16,17,18,20,21,25,26,27,30,31,
32,36,41,69,71,77,78,84,87,89,101,102,103,104,106,107,109,116,117,120,122,128,
129,138,144,158,168,182,194,269,272,288,302,304,306,311,312,324,329,331,336,
350,367,373,383,400,409,410,414,421,511,517,540,543,677,720,725,737,751,784,
793,975,981,993,1014,1305],[1,2,4,6,7,11,13,15,20,22,28,29,30,31,32,35,36,37,
38,65,71,72,73,78,80,81,82,86,88,89,99,103,137,145,148,166,167,171,172,174,
185,195,205,211,265,273,274,294,310,311,313,317,327,335,339,345,350,351,353,
354,381,383,385,395,396,430,436,532,535,688,705,717,729,741,758,780,843,904,
997,1020,1306],[1,2,4,5,6,11,13,15,20,21,22,29,30,32,36,41,42,43,66,72,73,77,
78,79,80,103,140,153,165,182,188,280,299,314,321,325,331,361,373,379,396,443,
687,713,764,1307],[1,2,4,5,6,11,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,
35,37,39,40,41,42,66,68,71,72,73,77,79,80,82,86,87,89,90,92,93,100,102,104,
120,121,126,128,138,139,141,143,146,148,155,156,165,168,171,175,176,177,184,
187,192,203,269,273,279,280,285,292,295,300,304,308,310,319,329,334,364,370,
377,389,398,408,409,421,422,424,489,577,584,597,693,714,751,774,785,822,931,
990,1025,1308],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,36,38,41,
42,48,50,66,69,72,73,74,77,78,79,81,84,87,89,103,105,107,108,112,113,116,117,
122,124,127,129,144,165,182,185,187,189,280,304,306,308,311,314,315,320,322,
324,331,336,340,362,367,373,374,381,396,406,409,410,414,416,418,422,444,764,
778,784,785,787,788,791,890,981,1005,1023,1309],[1,2,4,11,13,15,22,27,31,32,
36,51,65,71,72,80,85,99,103,164,169,187,199,265,289,293,294,298,325,357,386,
397,403,433,690,755,783,1310],[1,2,3,4,11,13,15,16,17,22,27,31,32,51,65,69,71,
72,74,80,84,85,99,116,169,187,199,259,263,265,289,302,322,325,357,386,397,403,
433,674,755,783,973,1029,1311],[1,2,4,11,12,13,15,22,24,31,36,51,65,67,68,71,
72,90,96,98,99,103,146,164,169,199,260,265,279,293,294,298,307,357,386,433,
439,582,591,672,690,783,1070,1312],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,
31,32,41,42,66,67,68,70,71,72,73,77,79,80,82,85,89,90,96,98,99,128,132,137,
138,146,148,165,168,184,187,262,273,279,280,296,300,303,307,325,328,334,343,
352,397,403,408,421,430,439,442,577,585,676,679,693,722,732,744,756,766,868,
876,976,1313],[1,2,4,6,11,13,15,20,22,24,27,29,31,35,37,51,68,71,72,73,83,85,
86,87,88,90,146,169,171,184,199,274,276,279,357,388,424,442,454,463,694,939,
1066,1314],[1,2,4,5,6,11,12,20,21,24,27,29,31,32,66,68,73,80,85,96,111,138,
140,161,162,168,184,262,277,287,296,299,300,303,316,318,321,334,352,360,368,
387,442,679,712,722,750,813,861,862,885,958,1315],[1,2,4,6,11,13,15,20,22,24,
27,29,31,32,34,35,37,68,72,73,76,80,85,86,88,91,98,99,120,123,137,140,146,148,
161,168,171,184,187,264,270,274,287,299,300,301,303,307,325,338,368,387,403,
430,442,448,482,570,584,675,706,736,766,776,813,816,828,1010,1316],[1,2,3,5,6,
7,13,17,20,21,23,25,27,28,29,30,32,36,37,38,39,40,41,48,50,65,69,77,78,81,86,
87,89,101,103,105,106,121,122,123,124,126,129,132,137,144,172,178,185,189,201,
203,211,259,294,295,297,304,312,314,320,324,327,332,335,336,347,350,353,354,
356,381,398,414,467,499,524,542,725,726,735,747,760,769,777,787,843,858,895,
1317],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,41,42,43,51,66,72,73,77,79,87,89,
153,165,169,187,188,190,280,304,308,349,361,379,399,409,422,433,443,713,782,
785,1318],[1,2,3,5,6,7,13,17,20,21,26,27,28,29,30,32,36,37,38,39,40,41,48,50,
65,69,77,78,81,86,87,89,103,105,122,123,124,129,132,137,139,144,149,155,167,
172,173,176,178,182,189,201,205,259,292,294,297,309,311,320,324,327,332,335,
336,339,356,359,367,373,409,414,436,445,499,524,592,594,705,752,769,777,799,
820,981,999,1012,1319],[1,2,4,5,6,7,11,12,13,15,20,21,22,28,29,30,35,37,41,42,
46,51,52,53,66,67,72,73,77,79,86,88,95,100,109,110,113,115,119,125,131,141,
159,163,165,169,171,172,175,183,190,197,207,217,260,274,280,323,333,348,349,
369,376,377,378,391,399,428,431,433,474,479,518,526,559,569,673,740,782,831,
866,867,964,1046,1320],[1,2,4,5,6,11,12,13,15,20,21,22,27,29,32,66,67,72,73,
80,82,83,85,87,89,97,111,120,123,128,130,132,137,148,162,187,260,268,273,275,
276,277,289,301,316,318,321,325,328,360,368,387,397,403,420,422,430,450,470,
681,689,716,730,742,749,775,819,874,962,1001,1321],[1,2,3,4,5,6,7,11,13,15,16,
17,20,21,22,28,29,30,32,38,41,42,48,50,51,66,69,72,73,74,77,78,79,80,81,84,
105,107,108,112,113,116,117,122,124,127,129,140,165,169,189,190,280,299,306,
315,320,321,322,325,336,340,349,362,399,406,418,433,444,687,782,791,929,1029,
1322],[1,2,4,6,11,13,15,20,22,24,27,29,31,35,37,45,68,71,72,73,83,85,86,87,88,
90,146,147,171,184,186,274,276,279,371,388,424,442,455,456,694,998,1095,
1323],[1,2,4,5,6,11,13,15,20,21,22,24,29,31,32,41,42,66,68,71,72,73,77,79,80,
82,89,90,138,146,165,168,196,273,279,280,300,334,408,421,471,525,548,693,835,
905,1002,1324],[1,2,4,5,6,11,13,15,16,20,21,22,29,33,36,41,42,43,66,72,73,77,
79,84,103,150,153,165,188,194,280,282,291,293,361,363,379,400,415,432,443,713,
761,781,1325],[1,2,4,5,6,11,13,15,20,21,22,27,29,31,36,41,42,51,65,66,71,72,
73,77,79,83,85,87,99,103,120,123,128,132,164,165,169,199,265,276,280,293,294,
298,301,328,329,332,357,386,411,433,690,695,783,906,1004,1326],[1,2,4,11,13,
15,16,22,27,31,32,36,65,71,72,80,84,85,99,103,164,187,263,265,289,291,293,294,
298,325,337,397,403,690,696,755,1327],[1,2,3,4,5,6,7,13,15,16,17,20,21,23,25,
27,28,29,30,31,36,37,38,39,40,41,47,49,69,71,77,78,81,84,86,87,103,107,109,
114,116,117,118,120,121,122,126,128,129,144,158,178,184,191,195,201,203,205,
208,272,288,295,297,302,306,308,309,314,324,329,330,336,351,354,356,367,374,
407,416,424,436,445,459,511,514,543,711,748,760,765,788,792,793,799,815,840,
941,1328],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,28,29,30,35,36,37,38,41,
42,48,50,66,67,69,72,73,74,77,78,79,81,84,86,88,95,100,103,105,107,108,112,
113,116,117,122,124,127,129,141,165,166,171,174,175,189,194,201,208,260,274,
280,291,293,306,315,320,322,336,340,345,356,362,369,377,394,396,400,401,406,
407,418,432,444,562,596,673,684,719,727,762,781,791,854,873,966,968,1329],[1,
2,4,5,6,11,13,14,15,18,20,21,22,23,25,26,27,29,34,35,37,39,40,41,42,45,66,72,
73,76,77,79,85,86,91,92,93,100,102,104,120,121,123,126,130,139,141,143,147,
155,156,162,165,171,175,176,177,186,192,202,203,209,218,264,269,275,280,285,
292,295,301,318,364,370,371,377,384,389,392,412,423,461,472,473,481,489,578,
580,597,685,714,790,797,812,927,986,1092,1330],[1,2,3,4,5,6,7,11,13,15,16,17,
20,21,22,27,28,29,30,32,36,38,41,42,47,48,49,50,66,69,72,73,74,77,78,79,81,84,
87,89,101,103,105,106,107,108,112,113,114,116,117,118,122,124,127,129,149,165,
166,167,173,174,178,187,189,191,280,297,304,306,308,312,315,320,322,330,336,
339,340,345,350,359,362,380,402,404,405,406,409,414,416,418,422,437,440,444,
445,721,725,767,770,785,791,792,943,996,999,1026,1331],[1,2,4,5,6,11,13,15,20,
21,22,27,29,31,33,41,42,45,65,66,71,72,73,77,79,83,85,87,99,120,123,128,132,
147,150,165,186,265,276,280,282,301,328,329,332,363,371,392,411,415,423,695,
761,790,846,967,1332],[1,2,4,5,6,7,11,13,15,19,20,21,22,27,28,29,36,38,41,42,
44,47,49,66,72,73,75,77,79,81,85,101,103,106,111,114,118,128,132,142,149,162,
165,166,173,174,191,198,222,261,277,280,312,318,328,330,345,355,359,390,402,
404,405,413,426,434,440,469,484,507,544,691,721,789,800,970,982,995,1061,
1333],[1,2,3,4,5,6,7,13,15,16,17,20,21,23,25,27,28,29,30,31,36,37,38,39,40,41,
46,48,50,69,71,77,78,81,84,86,87,101,103,105,106,112,115,116,120,121,124,126,
127,128,144,157,170,178,184,189,201,203,205,211,278,295,297,302,308,309,312,
315,320,324,326,329,331,353,356,367,380,383,394,416,424,436,445,467,528,539,
542,735,737,746,748,759,770,778,799,811,814,1022,1334],[1,2,4,5,6,11,12,13,15,
20,21,22,29,35,37,41,42,43,44,66,67,72,73,77,79,86,88,95,100,141,142,153,165,
171,175,188,198,260,274,280,355,361,369,377,379,390,434,443,579,583,673,713,
789,1105,1335],[1,2,4,6,11,12,13,15,20,22,27,29,32,67,72,73,80,82,83,85,87,89,
94,120,123,137,140,148,161,187,260,266,270,273,276,287,299,301,316,325,338,
360,368,387,397,403,420,422,430,485,512,689,742,743,779,828,863,879,919,1010,
1336],[1,2,3,4,6,7,11,13,15,16,17,20,22,24,27,28,29,30,31,35,36,37,38,68,69,
71,72,73,74,78,81,83,84,85,86,87,88,90,103,108,113,116,144,146,157,158,171,
178,184,195,201,208,274,276,279,288,291,293,297,302,322,324,326,337,340,351,
356,374,380,383,388,394,401,407,424,442,457,513,694,718,724,727,745,754,762,
814,818,934,941,1337],[1,2,4,6,11,13,15,20,22,29,31,32,35,37,45,65,71,72,73,
80,82,86,88,89,99,137,147,148,171,186,265,273,274,310,335,371,395,430,455,456,
688,878,945,998,1338],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,36,38,41,42,45,
46,47,49,52,53,66,72,73,77,79,81,101,103,106,109,110,113,114,115,118,119,125,
131,147,149,159,163,165,166,172,173,174,186,191,197,216,280,312,323,330,333,
345,348,359,371,376,378,391,392,402,404,405,423,428,431,440,492,497,506,515,
721,740,790,839,845,853,989,1102,1339],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,
28,29,30,38,41,42,43,45,48,50,66,69,72,73,74,77,78,79,81,84,105,107,108,112,
113,116,117,122,124,127,129,147,153,165,186,188,189,219,280,306,315,320,322,
336,340,361,362,371,379,392,406,418,423,443,444,447,465,476,552,713,790,791,
842,882,1058,1094,1340],[1,2,4,5,6,11,13,15,20,21,22,29,30,36,41,42,45,51,66,
72,73,77,78,79,103,147,165,169,182,186,190,280,314,331,349,371,373,392,396,
399,423,433,764,782,790,1341],[1,2,4,5,6,11,13,15,16,20,21,22,29,36,41,42,44,
45,66,72,73,77,79,84,103,142,147,165,186,194,198,280,291,293,355,371,390,392,
400,423,432,434,781,789,790,1342],[1,2,4,5,6,11,13,15,20,21,22,24,29,31,32,33,
41,42,45,66,68,71,72,73,77,79,80,82,89,90,138,146,147,150,165,168,186,273,279,
280,282,300,334,363,371,392,408,415,421,423,693,761,790,1069,1343],[1,2,4,5,6,
11,13,15,20,21,22,27,29,30,36,41,42,44,66,72,73,77,78,79,85,103,111,142,165,
182,198,277,280,289,314,331,338,355,373,390,396,434,692,764,789,1344],[1,2,4,
5,6,11,13,15,19,20,21,22,24,27,29,31,32,41,42,66,68,72,73,75,77,79,80,85,98,
99,111,128,132,137,138,146,148,161,162,165,184,187,261,277,280,287,296,307,
316,318,321,328,334,360,387,397,403,413,426,430,442,577,585,683,691,750,756,
836,868,874,885,1001,1345],[1,2,4,5,6,11,13,15,20,21,22,27,29,31,41,42,43,44,
65,66,71,72,73,77,79,83,85,87,99,120,123,128,132,142,153,165,188,198,265,276,
280,301,328,329,332,355,361,379,390,411,434,443,695,713,789,837,1021,1346],[1,
2,5,6,7,13,14,16,18,20,21,25,26,27,28,30,36,38,41,65,77,78,81,84,87,101,102,
103,104,106,107,112,117,123,127,132,149,157,158,172,173,182,194,263,269,288,
294,306,308,312,314,315,326,327,332,347,359,367,373,374,380,400,432,445,477,
517,540,550,680,707,720,726,757,770,788,832,900,1000,1012,1347],[1,2,4,5,6,7,
11,13,15,20,21,22,28,29,36,38,41,42,45,47,49,51,66,72,73,77,79,81,101,103,106,
114,118,147,149,165,166,169,173,174,186,190,191,280,312,330,345,349,359,371,
392,399,402,404,405,423,433,440,721,782,790,1032,1348],[1,2,4,5,6,11,13,14,15,
16,18,20,21,22,23,25,26,29,30,35,36,37,39,40,41,42,66,72,73,77,78,79,84,86,92,
93,100,101,102,103,104,106,107,117,121,126,139,141,143,155,156,165,171,175,
176,177,182,192,194,203,269,280,285,291,292,293,295,306,312,314,331,354,364,
370,373,377,385,389,394,396,400,401,432,489,517,540,597,714,720,764,781,810,
869,914,968,1013,1349],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,31,32,41,42,66,
68,71,72,73,77,79,80,82,85,89,90,94,137,138,140,146,148,161,162,165,168,184,
266,270,273,279,280,287,299,300,303,316,318,321,334,352,368,387,397,408,421,
430,442,485,512,675,693,731,743,750,771,779,813,836,862,876,1350],[1,2,4,5,6,
7,13,15,16,20,21,26,28,29,31,32,36,37,38,39,40,41,46,47,49,71,77,81,84,86,89,
103,112,114,115,118,127,138,139,148,149,155,167,168,170,173,176,185,191,194,
195,208,211,278,292,304,310,315,317,319,330,337,339,346,351,353,359,381,400,
407,421,437,558,572,573,587,767,773,774,780,801,841,937,938,977,1351],[1,2,4,
5,6,11,13,15,16,19,20,21,22,27,29,36,41,42,51,66,72,73,75,77,79,84,85,103,111,
128,132,162,165,169,190,194,261,277,280,291,293,318,328,349,399,400,413,426,
432,433,691,781,782,932,1004,1352],[1,2,3,4,7,11,12,13,15,16,17,22,27,28,30,
32,36,38,67,69,72,74,78,80,81,82,83,84,85,87,89,103,108,113,116,144,157,158,
166,174,178,187,260,273,276,288,291,293,297,322,324,326,340,345,346,374,380,
396,403,410,414,420,422,437,457,513,684,689,719,723,738,745,754,996,1008,1023,
1028,1353],[1,2,4,6,7,11,13,15,20,22,24,27,28,29,30,31,35,36,37,38,46,68,71,
72,73,78,81,83,85,86,87,88,90,103,109,115,146,164,166,170,171,174,184,195,205,
211,272,274,276,278,279,298,345,347,351,353,354,367,383,385,388,396,416,424,
436,442,445,529,530,694,709,739,840,908,979,1016,1020,1022,1354],[1,2,4,5,6,
11,13,14,15,18,20,21,22,23,25,26,29,32,35,37,39,40,41,42,45,66,72,73,77,79,80,
86,92,93,100,102,104,121,126,139,140,141,143,147,155,156,165,171,175,176,177,
186,192,203,269,280,285,292,295,299,321,325,364,370,371,377,389,392,423,489,
561,593,597,687,714,790,1036,1355],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,34,
35,37,68,71,72,73,76,80,83,85,86,87,88,90,91,130,137,140,146,148,161,168,171,
184,264,274,275,276,279,287,299,300,303,338,352,360,368,387,388,397,424,430,
442,448,482,694,706,734,776,813,857,861,876,879,1356],[1,2,4,5,6,7,11,13,15,
20,21,22,27,28,29,30,32,41,42,44,46,52,53,66,72,73,77,79,87,89,109,110,113,
115,119,125,131,142,159,163,165,172,187,197,198,280,304,308,323,333,348,355,
376,378,390,391,409,422,428,431,434,740,785,789,910,1011,1357],[1,2,4,6,7,11,
13,15,20,22,24,27,28,29,30,31,35,37,46,51,68,71,72,73,83,85,86,87,88,90,109,
113,115,146,151,152,154,160,169,171,172,184,217,223,274,276,279,290,305,365,
366,388,391,424,433,435,442,466,479,490,518,523,541,694,704,728,806,831,888,
1018,1054,1358],[1,2,4,11,13,15,16,22,27,31,32,51,65,71,72,80,84,85,99,169,
187,199,263,265,289,291,325,337,357,386,397,403,433,696,755,783,1359],[1,2,4,
5,6,7,11,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,39,40,41,42,43,46,52,53,
66,72,73,77,79,86,92,93,100,102,104,109,110,113,115,119,121,125,126,131,139,
141,143,153,155,156,159,163,165,171,172,175,176,177,188,192,193,197,200,203,
220,269,280,285,292,295,323,333,348,361,364,370,376,377,378,379,389,391,428,
431,443,449,488,489,500,516,568,595,597,713,714,740,798,833,838,1027,1068,
1360],[1,2,4,7,11,12,13,15,22,27,28,30,32,36,38,67,72,78,80,81,82,83,85,87,89,
103,108,113,145,166,167,174,185,187,260,273,276,293,311,313,317,339,340,345,
347,350,367,381,396,403,416,420,422,445,532,535,689,717,719,741,903,988,1005,
1016,1026,1361],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,33,34,41,42,66,72,73,76,
77,79,85,87,89,91,120,123,130,150,162,165,187,264,275,280,282,301,304,308,318,
363,384,409,412,415,422,685,761,785,911,913,1362],[1,2,4,5,6,11,13,14,15,18,
20,21,22,23,25,26,29,35,37,39,40,41,42,44,51,66,72,73,77,79,86,92,93,100,102,
104,121,126,139,141,142,143,155,156,165,169,171,175,176,177,190,192,198,203,
269,280,285,292,295,349,355,364,370,377,389,390,399,433,434,489,557,571,597,
714,782,789,1118,1363],[1,2,4,5,6,7,11,13,15,16,20,21,22,28,29,30,32,36,41,42,
46,52,53,66,72,73,77,79,80,84,103,109,110,113,115,119,125,131,140,159,163,165,
172,194,197,280,291,293,299,321,323,325,333,348,376,378,391,400,428,431,432,
687,740,781,960,992,1364],[1,2,4,5,6,11,13,15,16,20,21,22,27,29,31,41,42,51,
65,66,71,72,73,77,79,83,84,85,87,99,120,123,128,132,165,169,199,263,265,276,
280,291,301,328,329,332,337,357,386,411,433,695,696,783,932,946,1365],[1,2,4,
5,6,11,13,15,20,21,22,27,29,32,33,41,42,66,72,73,77,79,80,87,89,140,150,165,
187,280,282,299,304,308,321,325,363,409,415,422,687,761,785,1366],[1,2,3,4,5,
6,7,11,13,15,16,17,19,20,21,22,27,28,29,30,38,41,42,46,48,50,52,53,66,69,72,
73,74,75,77,78,79,81,84,85,105,107,108,109,110,111,112,113,115,116,117,119,
122,124,125,127,128,129,131,132,144,151,152,154,157,158,159,160,162,163,165,
172,178,179,189,197,261,277,280,281,284,306,315,318,320,322,323,328,333,336,
340,348,362,376,378,382,391,393,406,413,418,419,426,428,429,431,441,444,446,
451,457,475,480,483,490,499,502,509,511,522,528,531,536,546,549,550,551,554,
555,691,697,740,791,856,865,871,898,912,923,950,972,1007,1047,1107,1367],[1,2,
3,4,5,6,7,11,13,15,16,17,20,21,22,28,29,30,33,38,41,42,44,48,50,66,69,72,73,
74,77,78,79,81,84,105,107,108,112,113,116,117,122,124,127,129,142,150,165,189,
198,214,280,282,306,315,320,322,336,340,355,362,363,390,406,415,418,434,444,
493,501,534,547,761,789,791,907,924,1035,1059,1368],[1,2,4,5,6,7,11,13,15,20,
21,22,27,28,29,30,31,36,38,41,42,47,49,65,66,71,72,73,77,78,79,81,83,85,87,99,
101,103,106,114,118,120,123,128,132,149,165,166,172,173,174,182,191,195,265,
276,280,294,301,312,314,327,328,329,330,331,332,345,347,351,359,367,373,383,
396,402,404,405,411,416,440,445,695,721,726,737,764,765,768,887,904,1012,1016,
1369],[1,2,4,5,6,7,11,13,15,20,21,22,27,28,29,34,36,38,41,42,43,47,49,66,72,
73,76,77,79,81,85,91,101,103,106,114,118,120,123,130,149,153,162,165,166,173,
174,188,191,213,264,275,280,301,312,318,330,345,359,361,379,384,402,404,405,
412,440,443,495,503,520,545,685,713,721,829,848,864,893,1065,1370],[1,2,4,5,6,
11,13,15,20,21,22,24,27,29,31,32,35,37,66,68,71,72,73,80,83,85,86,87,88,90,97,
111,120,123,128,130,132,138,146,161,162,171,184,268,274,275,276,277,279,287,
289,296,301,316,318,325,328,334,338,352,360,387,388,424,442,450,470,694,715,
716,736,744,750,763,775,857,885,886,1371],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,
22,28,29,30,38,41,42,44,45,48,50,66,69,72,73,74,77,78,79,81,84,105,107,108,
112,113,116,117,122,124,127,129,142,147,165,186,189,198,280,306,315,320,322,
336,340,355,362,371,390,392,406,418,423,434,444,789,790,791,852,971,1372],[1,
2,4,5,6,13,15,16,20,21,26,29,30,31,32,36,37,39,40,41,71,77,78,84,86,89,103,
107,109,117,138,139,145,148,155,168,176,182,272,292,304,306,310,311,313,319,
331,337,346,350,354,373,383,394,410,421,432,729,772,774,784,802,892,969,993,
1013,1373],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,33,36,38,41,42,46,47,49,52,
53,66,72,73,77,79,81,101,103,106,109,110,113,114,115,118,119,125,131,149,150,
159,163,165,166,172,173,174,191,197,221,280,282,312,323,330,333,345,348,359,
363,376,378,391,402,404,405,415,428,431,440,496,498,510,533,721,740,761,827,
849,855,983,1089,1374],[1,2,4,5,6,11,13,15,16,20,21,22,29,36,41,42,43,45,66,
72,73,77,79,84,103,147,153,165,186,188,194,280,291,293,361,371,379,392,400,
423,432,443,713,781,790,1375],[1,2,4,5,6,7,11,13,15,20,21,22,24,28,29,30,31,
32,41,42,46,51,52,53,66,68,71,72,73,77,79,80,82,89,90,109,110,113,115,119,125,
131,138,146,159,163,165,168,169,172,190,197,223,273,279,280,300,323,333,334,
348,349,376,378,391,399,408,421,428,431,433,452,453,466,541,693,740,782,824,
935,991,1018,1048,1376],[1,2,4,7,11,13,15,22,27,28,30,31,32,38,46,51,65,71,72,
78,80,81,85,99,108,109,113,115,169,170,172,187,199,265,272,278,289,325,327,
340,357,372,386,391,397,403,433,686,755,783,929,930,1377],[1,2,3,4,5,6,7,11,
13,15,16,17,20,21,22,27,28,29,30,38,41,42,48,50,51,66,69,72,73,74,77,78,79,81,
84,85,105,107,108,111,112,113,116,117,122,124,127,129,165,169,189,190,277,280,
289,306,315,320,322,336,338,340,349,362,399,406,418,433,444,692,782,791,930,
973,1378],[1,2,4,5,6,7,11,13,15,20,21,22,28,29,30,36,41,42,45,46,52,53,66,72,
73,77,78,79,103,109,110,113,115,119,125,131,147,159,163,165,172,182,186,197,
280,314,323,331,333,348,371,373,376,378,391,392,396,423,428,431,740,764,790,
891,974,1379],[1,2,4,5,6,11,13,15,20,21,22,27,29,32,41,42,44,51,66,72,73,77,
79,87,89,142,165,169,187,190,198,280,304,308,349,355,390,399,409,422,433,434,
782,785,789,1380],[1,2,4,5,6,11,13,15,20,21,22,29,30,33,36,41,42,51,66,72,73,
77,78,79,103,150,165,169,182,190,280,282,314,331,349,363,373,396,399,415,433,
761,764,782,1381],[1,2,4,6,11,13,15,16,20,22,29,31,32,35,37,51,65,71,72,73,80,
82,84,86,88,89,99,137,148,169,171,199,263,265,273,274,291,310,335,337,357,386,
395,430,433,688,696,783,1081,1382],[1,2,4,5,6,11,13,15,16,20,21,22,27,29,30,
32,36,41,42,66,72,73,77,78,79,84,87,89,103,145,158,165,182,187,194,280,288,
291,293,304,308,313,314,331,346,347,350,367,373,380,396,400,409,410,422,432,
764,781,785,807,903,969,975,1000,1008,1383],[1,2,4,5,6,11,13,15,16,20,21,22,
29,33,36,41,42,44,66,72,73,77,79,84,103,142,150,165,194,198,280,282,291,293,
355,363,390,400,415,432,434,761,781,789,1384],[1,2,4,5,6,11,13,15,19,20,21,22,
27,29,32,41,42,45,66,72,73,75,77,79,85,87,89,111,128,132,147,162,165,186,187,
261,277,280,304,308,318,328,371,392,409,413,422,423,426,691,785,790,823,955,
1385],[1,2,4,7,11,12,13,15,22,24,28,30,31,38,46,51,65,67,68,71,72,78,81,90,96,
98,99,108,109,113,115,146,169,170,172,183,199,207,223,260,265,272,278,279,307,
327,340,357,372,386,391,433,439,466,474,526,541,560,586,672,686,783,859,860,
964,1018,1041,1386],[1,2,5,6,13,16,20,21,26,27,29,32,36,37,39,40,41,65,77,84,
86,87,89,101,103,106,123,132,137,139,145,155,176,194,263,292,294,309,312,313,
314,317,332,335,346,347,374,380,385,400,401,409,432,726,752,753,758,807,844,
900,914,1031,1387],[1,2,4,11,13,15,22,27,31,32,51,65,71,72,80,85,99,169,187,
199,265,289,325,357,386,397,403,433,755,783,1388],[1,2,4,5,6,7,11,13,15,20,21,
22,27,28,29,30,32,41,42,43,46,52,53,66,72,73,77,79,87,89,109,110,113,115,119,
125,131,153,159,163,165,172,187,188,197,280,304,308,323,333,348,361,376,378,
379,391,409,422,428,431,443,713,740,785,884,918,1389],[1,2,3,4,5,6,7,11,13,15,
16,17,20,21,22,28,29,30,33,38,41,42,43,48,50,66,69,72,73,74,77,78,79,81,84,
105,107,108,112,113,116,117,122,124,127,129,150,153,165,188,189,280,282,306,
315,320,322,336,340,361,362,363,379,406,415,418,443,444,713,761,791,883,921,
1390],[1,2,4,5,6,7,11,12,13,15,20,21,22,28,29,30,35,36,37,38,41,42,47,49,66,
67,72,73,77,78,79,81,86,88,95,100,101,103,106,108,113,114,118,141,149,165,166,
171,173,174,175,182,191,205,211,260,274,280,293,312,314,330,331,340,345,353,
354,359,369,373,377,385,396,402,404,405,436,440,565,588,673,719,721,764,810,
872,994,1017,1020,1391],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,68,72,73,80,83,
85,87,94,98,99,130,137,146,148,168,187,266,275,276,289,296,300,303,307,316,
325,338,352,360,368,387,397,403,430,716,766,771,786,819,879,919,958,1030,
1392],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,36,41,42,46,52,53,66,72,
73,77,79,84,85,103,109,110,111,113,115,119,125,131,159,163,165,172,194,197,
277,280,289,291,293,323,333,338,348,376,378,391,400,428,431,432,692,740,781,
928,1015,1393],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,41,42,65,66,67,
68,71,72,73,77,79,80,83,85,87,90,96,98,99,120,123,128,132,137,138,146,148,165,
184,187,260,265,276,279,280,289,296,301,307,325,328,329,332,334,352,397,403,
411,430,439,442,577,585,672,681,695,742,744,755,756,763,868,980,1030,1394],[1,
2,4,5,6,11,13,15,20,21,22,24,29,31,32,41,42,51,66,68,71,72,73,77,79,80,82,89,
90,138,146,165,168,169,199,273,279,280,300,334,357,408,421,454,463,693,939,
954,984,1395],[1,2,4,5,6,11,13,15,18,20,21,22,23,24,25,26,27,29,31,32,35,37,
39,40,41,42,68,71,72,73,77,83,85,86,87,88,89,90,100,104,120,121,126,128,133,
138,139,141,143,146,148,155,156,165,168,171,175,176,177,184,187,192,203,267,
274,276,279,292,295,308,309,310,319,329,370,377,388,398,409,421,422,424,442,
487,491,577,584,597,694,708,710,733,748,822,834,990,1025,1396],[1,2,4,7,11,13,
15,16,22,27,28,30,31,32,38,46,65,71,72,78,80,81,84,85,99,108,109,113,115,170,
172,187,263,265,272,278,289,291,325,327,337,340,372,391,397,403,686,696,755,
928,992,1397],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,35,37,68,72,73,80,82,85,
86,88,89,94,98,99,120,123,130,137,140,146,148,161,168,171,184,187,266,273,274,
275,287,289,299,300,301,303,307,316,325,338,352,360,368,387,397,403,430,442,
485,512,570,584,730,734,736,743,771,813,816,819,857,861,863,919,976,980,1010,
1398],[1,2,4,5,11,12,21,24,31,32,44,66,68,80,96,138,142,196,262,303,334,434,
471,679,835,956,1399],[1,2,4,5,6,13,15,20,21,26,29,31,32,34,35,37,39,40,41,45,
71,77,82,86,88,89,91,94,137,138,139,140,148,155,161,168,176,186,202,218,292,
304,310,319,395,421,448,455,482,485,512,561,578,774,817,945,1033,1040,1400],[
1,2,3,5,6,7,13,14,17,18,20,21,25,26,27,28,30,34,38,41,43,45,47,48,49,50,52,69,
76,77,81,102,104,105,114,118,122,123,124,125,130,131,134,135,144,147,151,152,
153,159,162,163,172,178,180,189,191,193,200,202,209,210,212,213,216,219,269,
286,320,330,376,379,384,392,417,427,438,447,460,461,472,475,476,486,488,497,
500,503,506,520,521,522,524,599,600,682,812,838,839,864,882,947,1052,1063,
1119,1125,1401],[1,2,5,6,13,14,18,19,20,21,25,26,27,33,34,41,45,65,75,76,77,
87,97,102,104,111,123,130,132,136,147,150,162,202,204,209,269,308,332,384,392,
413,415,450,461,462,472,504,680,700,812,823,846,913,953,1402],[1,2,4,5,6,11,
13,15,20,21,22,24,27,29,31,32,66,68,71,72,73,80,85,90,94,111,128,132,137,138,
140,146,148,162,168,184,187,266,270,277,279,296,299,300,303,316,318,321,325,
328,334,352,360,368,387,397,403,430,442,698,712,731,732,744,771,828,861,862,
874,876,885,919,958,1001,1403],[1,2,4,5,6,7,13,14,15,16,18,20,21,25,26,27,28,
30,31,32,36,38,41,71,77,78,81,84,87,89,101,102,103,104,106,107,112,117,120,
127,128,138,145,149,164,168,173,182,185,194,195,269,298,304,306,312,313,314,
315,317,329,337,346,347,350,351,359,373,374,380,381,383,400,409,410,416,421,
432,437,517,540,563,590,707,720,751,802,807,844,887,889,890,925,937,938,943,
963,969,1404],[1,2,4,5,6,7,13,15,20,21,27,28,30,31,33,36,38,41,45,46,47,49,52,
53,71,77,81,87,103,108,109,110,114,115,118,119,120,125,128,131,147,150,151,
152,154,159,160,163,172,191,195,216,221,314,329,330,348,351,372,376,392,415,
445,478,494,496,497,502,506,523,533,554,765,839,909,940,967,974,983,1405],[1,
2,3,5,6,7,13,17,19,20,21,23,25,27,28,29,30,33,36,37,39,40,41,43,50,52,69,75,
77,78,86,103,105,111,119,121,122,125,126,129,131,132,144,150,151,153,159,160,
162,172,178,201,203,204,220,295,314,336,354,356,376,379,382,413,415,449,480,
499,508,516,522,536,546,553,760,825,871,880,883,940,1027,1406],[1,2,5,6,7,13,
14,16,18,20,21,25,26,27,28,30,34,36,38,41,44,45,52,53,76,77,81,84,102,103,104,
110,112,117,119,123,125,127,130,142,147,149,151,152,157,158,162,163,172,173,
181,202,206,209,269,314,315,348,359,375,384,390,392,432,461,464,472,477,505,
521,531,537,555,707,812,847,852,877,957,974,1407],[1,2,5,6,7,13,16,19,20,21,
23,25,27,28,29,30,33,37,38,39,40,41,43,52,53,75,77,78,81,84,86,107,110,111,
112,121,125,126,127,131,132,150,152,153,154,157,158,159,162,172,203,204,205,
220,295,315,331,376,379,394,413,415,436,446,449,483,508,509,516,549,550,553,
555,746,803,825,912,915,921,1027,1408],[1,2,4,5,6,7,13,15,20,21,23,25,27,28,
29,30,31,37,39,40,41,43,44,46,52,53,71,77,86,87,108,109,110,115,119,120,121,
125,126,128,131,142,151,152,153,154,159,160,163,172,184,203,215,220,295,308,
309,329,348,372,376,379,390,424,449,468,478,494,502,516,519,523,554,748,884,
909,1011,1021,1024,1027,1409],[1,2,4,5,6,13,15,16,20,21,26,27,29,30,31,32,36,
37,39,40,41,71,77,78,84,86,87,89,101,103,106,107,117,120,128,138,139,155,158,
164,168,176,182,184,194,288,292,298,306,308,312,314,317,329,331,337,346,347,
350,354,367,373,374,380,383,385,394,398,400,401,409,410,421,424,432,737,788,
802,804,844,889,914,934,963,975,979,990,1000,1003,1013,1410],[1,2,4,11,13,15,
22,24,27,30,31,32,36,51,68,71,72,78,80,85,90,103,109,146,164,169,187,199,272,
279,296,298,303,352,357,383,396,403,454,463,709,732,939,1411],[1,2,4,6,7,11,
13,15,16,20,22,27,28,29,30,32,38,46,51,52,72,73,78,80,81,82,84,85,89,108,109,
113,115,120,123,125,131,151,152,154,160,163,169,172,273,289,291,301,340,360,
378,387,391,410,433,437,452,453,458,478,490,494,521,730,738,901,928,930,946,
991,1412],[1,2,3,5,6,7,13,14,17,18,19,20,21,25,26,27,28,30,33,41,43,50,52,69,
75,77,78,102,104,105,111,119,122,125,129,131,132,136,144,150,151,153,159,160,
162,172,178,193,200,204,269,331,336,376,379,382,413,415,462,480,488,499,500,
504,522,536,546,677,803,838,871,883,915,953,1413],[1,2,3,4,5,6,7,13,15,16,17,
20,21,26,27,28,29,30,31,32,36,37,38,39,40,41,48,50,69,71,77,78,81,84,86,87,89,
103,105,107,109,116,117,120,122,124,128,129,138,139,144,149,155,158,168,173,
176,182,184,189,195,201,205,272,288,292,302,306,308,311,320,324,329,331,336,
347,350,351,354,356,359,367,373,380,383,394,398,409,414,416,421,424,432,436,
437,511,543,592,594,778,793,814,820,840,858,887,933,943,981,985,990,993,1000,
1013,1414],[1,2,3,4,6,7,11,12,13,15,16,17,20,22,27,28,29,30,32,46,48,51,67,69,
72,73,74,80,84,85,109,112,113,115,116,117,120,122,123,124,137,144,148,157,158,
169,172,178,183,207,260,291,301,322,325,391,397,418,430,433,457,474,477,524,
526,539,543,684,742,899,946,964,992,1029,1415],[1,2,4,6,7,11,12,13,15,20,22,
27,28,29,30,32,36,38,46,51,52,67,72,73,78,80,81,85,103,108,109,113,115,120,
123,125,131,137,148,151,152,154,160,163,166,169,172,174,183,207,260,293,301,
325,340,345,378,391,396,397,430,433,458,474,478,490,494,521,526,719,742,901,
906,929,960,964,1416],[1,2,4,6,7,11,20,27,29,31,32,36,38,46,49,68,73,80,85,94,
106,114,145,164,167,168,170,173,174,185,195,196,266,300,316,352,387,404,471,
530,535,558,581,589,590,771,897,905,1038,1073,1417],[1,2,5,6,7,13,16,20,21,27,
28,30,33,34,36,38,41,43,52,53,76,77,81,84,87,101,103,106,110,112,117,119,123,
125,127,130,150,151,152,153,157,158,162,163,172,308,312,315,348,375,379,380,
384,415,445,477,495,498,510,521,531,537,545,555,770,829,849,877,884,913,921,
1418],[1,2,4,6,7,11,13,15,16,20,22,27,28,29,30,32,35,37,38,46,51,52,72,73,78,
80,81,84,85,86,88,108,109,113,115,120,123,125,131,151,152,154,160,161,163,169,
171,172,208,217,274,287,291,301,325,340,378,387,391,394,407,433,458,478,479,
490,494,518,521,736,762,831,901,929,946,992,1419],[1,2,4,6,13,15,18,27,29,31,
32,34,35,37,39,45,71,82,86,87,88,89,91,94,137,140,148,156,161,184,186,209,218,
267,309,310,395,398,424,448,455,482,485,512,580,593,710,817,945,1034,1103,
1420],[1,2,5,6,7,13,16,20,21,23,25,27,28,29,30,34,37,38,39,40,41,44,45,52,53,
76,77,78,81,84,86,110,112,117,119,121,123,125,126,127,130,142,147,151,152,157,
158,162,163,172,203,205,215,218,295,315,331,348,375,384,390,392,394,436,468,
473,477,481,519,521,531,537,555,746,852,877,891,942,986,1024,1421],[1,2,5,6,7,
13,16,20,21,23,25,27,28,29,30,34,37,38,39,40,41,43,45,47,49,52,76,77,78,81,84,
86,107,112,114,117,118,121,123,125,126,130,131,147,153,154,157,158,159,160,
162,163,172,191,203,205,208,213,216,218,220,283,295,306,330,358,375,376,379,
384,392,407,425,436,449,451,458,459,465,473,477,481,483,497,503,506,514,516,
520,552,711,839,842,864,949,986,1027,1085,1097,1109,1112,1422],[1,2,5,6,7,13,
16,19,20,21,23,25,27,28,29,30,33,37,38,39,40,41,44,47,49,53,75,77,78,81,84,86,
107,110,111,114,117,118,119,121,126,127,132,142,150,151,157,158,159,160,162,
163,172,191,203,204,205,208,215,221,222,284,295,306,330,348,390,407,413,415,
419,429,436,446,451,459,468,496,507,508,514,519,531,533,534,544,546,547,550,
553,711,825,865,907,982,983,1024,1043,1044,1055,1080,1423],[1,2,5,6,7,13,14,
16,18,19,20,21,25,26,27,28,30,33,36,41,44,53,75,77,78,84,101,102,103,104,106,
107,110,111,117,119,127,132,136,142,150,151,157,158,159,160,162,163,172,181,
182,194,204,206,269,284,306,312,348,373,390,400,413,415,419,429,446,451,462,
464,469,484,498,504,505,510,517,531,534,540,546,547,550,720,800,847,849,865,
907,953,1071,1096,1108,1123,1424],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,31,32,
35,37,66,68,72,73,80,83,85,86,87,88,97,98,99,111,120,123,128,130,132,137,138,
140,146,148,162,168,171,184,187,268,274,275,276,277,289,296,299,300,301,307,
316,318,321,328,334,338,352,360,368,387,397,403,430,442,450,470,570,584,715,
734,756,775,786,816,862,863,874,879,885,886,962,1001,1030,1425],[1,2,4,5,6,7,
11,13,15,20,21,22,27,28,29,30,31,32,35,36,37,38,41,42,65,71,72,77,78,81,86,87,
89,99,100,101,103,106,123,132,137,138,141,145,149,164,165,166,168,171,172,173,
174,175,182,184,185,187,195,211,265,293,294,298,312,313,314,317,327,332,335,
345,347,350,351,353,354,359,367,373,377,381,383,385,396,421,422,424,445,563,
570,585,590,690,726,758,810,843,889,903,904,908,922,925,979,988,1012,1017,
1426],[1,2,4,6,11,20,27,29,31,32,43,51,68,73,80,85,94,153,168,199,266,300,316,
352,387,443,463,771,902,984,1427],[1,2,4,5,6,13,14,15,18,19,20,21,25,26,27,31,
32,33,34,41,42,45,71,75,76,77,79,83,87,89,97,102,104,111,120,123,128,130,132,
136,138,147,150,162,168,202,204,209,269,304,329,384,392,409,411,412,413,415,
421,426,450,461,462,470,472,504,751,812,870,911,953,955,967,1428],[1,2,4,5,11,
19,21,31,32,51,66,68,75,80,138,196,199,261,321,334,463,471,683,835,954,1429],[
1,2,5,6,7,13,14,16,18,19,20,21,25,26,27,28,30,33,36,38,41,43,52,53,75,77,81,
84,102,103,104,107,110,111,112,125,127,131,132,136,149,150,152,153,154,157,
158,159,162,172,173,193,200,204,269,314,315,359,376,379,413,415,432,446,462,
483,488,500,504,509,549,550,555,707,838,880,912,921,940,953,1430],[1,2,5,6,7,
13,14,18,20,21,25,26,27,28,30,38,41,43,44,52,53,65,77,78,81,87,102,104,110,
119,123,125,131,132,142,151,152,153,154,159,160,163,172,181,193,200,206,269,
308,327,332,348,376,379,390,458,464,488,500,505,521,523,546,549,680,837,838,
847,884,1006,1011,1431],[1,2,5,6,7,13,19,20,21,27,28,30,34,38,41,43,44,47,49,
65,75,76,77,78,81,87,97,111,114,118,123,130,132,142,153,162,172,191,213,222,
327,330,331,332,379,384,390,413,416,450,503,507,520,544,700,768,803,837,864,
942,982,1432],[1,2,4,6,13,15,16,29,30,31,32,37,45,71,78,84,86,89,109,148,186,
196,272,310,337,394,410,455,525,772,809,945,1433],[1,2,3,4,6,7,11,13,15,16,17,
20,22,27,28,29,30,32,35,36,37,46,48,51,69,72,73,74,80,84,85,86,88,103,109,112,
113,115,116,117,120,122,123,124,144,157,158,161,169,171,172,178,201,217,274,
287,293,301,322,325,356,387,391,401,418,433,457,477,479,518,524,539,543,727,
736,831,899,906,960,1029,1434],[1,2,3,5,6,7,13,14,17,18,19,20,21,25,26,27,28,
30,33,38,41,44,47,48,49,50,53,69,75,77,81,102,104,105,110,111,114,118,119,124,
129,132,134,135,136,142,144,150,152,154,159,162,163,172,178,179,181,189,191,
204,206,210,212,214,221,222,269,281,320,330,348,382,390,393,413,415,441,460,
462,464,475,486,493,496,499,501,504,505,507,533,544,549,551,598,601,682,847,
923,924,953,982,983,1042,1078,1115,1127,1435],[1,2,4,5,6,7,11,13,15,16,20,21,
22,27,28,29,30,32,35,36,37,38,41,42,72,77,78,81,83,84,85,86,87,89,100,103,107,
117,141,145,149,157,165,166,171,173,174,175,187,194,211,276,291,293,306,308,
309,313,314,326,345,346,347,350,353,359,367,374,377,380,385,394,396,398,400,
401,409,416,422,437,445,754,788,804,807,808,811,832,834,903,943,968,1016,1017,
1028,1031,1436],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,31,32,35,
36,37,38,41,42,48,50,65,69,71,72,74,77,78,81,84,86,87,89,99,100,103,105,116,
122,123,124,129,132,137,138,141,144,165,166,168,171,172,174,175,178,184,187,
189,194,195,201,208,259,263,265,294,297,302,320,322,324,327,332,335,336,345,
351,356,374,377,380,383,394,396,400,407,410,414,421,422,424,432,437,499,524,
562,570,585,596,674,769,777,814,854,900,904,922,941,965,966,985,996,1014,1023,
1437],[1,2,4,6,7,11,13,15,16,20,22,27,28,29,30,32,35,36,37,38,72,73,78,81,84,
86,87,88,89,103,108,113,157,158,166,167,171,174,185,187,205,208,211,274,288,
291,309,311,319,326,339,340,345,346,350,353,354,367,374,380,381,385,394,396,
398,407,410,416,422,436,437,445,733,762,801,804,811,815,892,926,933,1005,1008,
1009,1020,1026,1028,1438],[1,2,4,6,13,15,29,30,31,32,34,35,36,37,71,78,82,86,
88,89,91,94,103,137,140,145,148,161,196,310,311,313,354,383,395,448,482,485,
512,525,575,589,729,809,817,1039,1082,1439],[1,2,4,6,7,13,15,16,28,29,31,32,
34,35,37,38,46,51,71,81,82,84,86,88,89,91,94,115,137,140,148,161,169,170,208,
217,278,310,337,386,395,407,437,448,453,479,482,485,512,773,817,821,881,1081,
1440],[1,2,3,4,5,6,13,15,16,17,20,21,23,25,27,29,30,31,32,36,37,39,40,41,69,
71,77,78,84,86,87,89,103,116,121,122,126,129,138,144,145,148,164,168,182,184,
194,201,203,295,298,302,310,311,313,314,317,319,324,336,346,347,350,354,356,
367,373,380,383,385,394,398,400,401,409,410,414,421,424,729,760,807,814,822,
850,858,869,889,892,944,979,981,1003,1014,1441],[1,2,3,4,5,6,7,13,15,16,17,20,
21,23,25,27,28,29,31,32,36,37,38,39,40,41,48,50,69,71,77,81,84,86,87,89,101,
103,105,106,116,121,124,126,138,145,148,149,164,167,168,173,178,184,185,189,
195,201,203,208,211,295,297,298,302,310,312,313,317,319,320,339,346,347,351,
353,356,359,374,381,385,398,401,407,409,414,421,424,432,437,445,467,542,563,
590,735,780,801,808,822,844,850,895,908,925,941,944,985,987,999,1442],[1,2,3,
4,5,6,11,13,15,16,17,20,21,22,27,29,30,32,35,36,37,41,42,69,72,74,77,78,80,82,
84,86,87,89,100,101,103,106,116,122,129,141,144,145,165,171,175,182,187,201,
273,293,304,311,312,313,317,319,322,324,336,346,347,350,354,356,367,373,374,
377,385,394,396,398,409,410,414,422,432,717,723,725,804,810,844,850,858,892,
903,931,966,969,981,1023,1443],[1,2,3,4,5,6,7,13,15,16,17,20,21,26,28,29,30,
31,32,36,37,38,39,40,41,48,50,69,71,77,78,81,84,86,89,101,103,105,106,116,122,
124,129,138,139,145,148,149,155,164,168,173,176,182,185,189,194,195,201,205,
292,298,302,304,310,312,313,314,317,319,320,336,346,350,351,356,359,373,381,
383,385,400,401,410,414,421,432,436,437,563,590,592,594,725,774,787,820,850,
889,896,914,925,937,944,969,985,997,1014,1444],[1,2,5,6,13,19,20,21,27,34,36,
41,43,44,65,75,76,77,87,97,101,103,106,111,123,130,132,142,153,162,294,312,
314,332,347,379,384,390,413,450,469,484,495,545,700,726,800,829,837,880,957,
1445],[1,2,3,5,6,7,13,17,20,21,23,25,27,28,29,30,34,36,37,39,40,41,44,45,48,
53,69,76,77,78,86,103,110,119,121,122,123,124,126,129,130,131,142,144,147,154,
160,162,163,172,178,201,203,215,218,295,314,336,348,354,356,384,390,392,417,
458,468,473,480,481,519,524,551,556,760,875,957,971,974,986,1024,1446],[1,2,6,
7,13,28,29,30,32,36,37,38,45,65,78,81,86,89,103,137,167,172,186,205,294,311,
327,335,339,436,455,705,878,961,1447],[1,2,6,13,16,29,32,36,37,45,65,84,86,89,
103,137,186,196,263,294,335,346,401,455,525,753,878,920,1448],[1,2,5,6,7,13,
16,19,20,21,27,28,30,32,38,41,44,45,47,49,52,53,75,77,81,84,89,107,110,111,
112,114,118,125,127,131,132,142,147,152,154,157,158,159,162,167,172,191,216,
222,304,315,330,339,376,390,392,413,437,446,483,497,506,507,509,544,549,550,
555,767,839,852,910,912,955,982,1449],[1,2,4,5,6,13,15,19,20,21,23,25,27,29,
31,33,34,37,39,40,41,42,45,71,75,76,77,79,83,86,87,97,111,120,121,123,126,128,
130,132,147,150,162,184,203,204,218,295,308,309,329,384,392,411,412,413,415,
424,426,450,470,473,481,508,553,748,823,825,870,913,967,986,1450],[1,2,3,4,6,
7,11,13,15,16,17,20,22,27,28,29,30,32,36,46,48,51,69,72,73,74,80,82,84,85,89,
103,109,112,113,115,116,117,120,122,123,124,144,157,158,169,172,178,273,289,
293,301,322,346,360,387,391,414,418,433,452,453,457,477,524,539,543,723,730,
899,906,973,991,1015,1451],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,24,27,28,29,
31,32,35,36,37,38,41,42,46,48,50,68,69,71,72,74,77,81,84,86,87,89,90,100,103,
105,112,115,116,120,124,127,128,138,141,146,148,157,164,165,166,168,170,171,
174,175,178,184,187,189,194,195,201,208,278,279,291,297,298,302,310,315,320,
322,326,329,337,345,346,351,356,374,377,380,400,401,407,414,421,422,424,432,
437,528,529,530,539,562,577,584,596,718,739,759,773,818,854,873,938,941,944,
963,985,996,1025,1028,1452],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,
30,32,35,36,37,38,41,42,47,49,69,72,74,77,78,81,83,84,85,86,87,89,100,103,108,
113,114,116,118,122,129,141,144,157,158,165,166,171,174,175,178,182,185,187,
191,201,205,211,276,288,297,308,309,311,322,324,326,330,336,340,345,347,353,
356,367,373,377,380,381,394,396,398,409,414,416,422,432,436,437,445,457,513,
565,588,745,792,799,811,834,895,933,951,966,981,994,996,1000,1005,1016,1453],[
1,2,3,4,5,6,7,13,15,16,17,20,21,26,27,28,29,30,31,32,36,37,38,39,40,41,46,47,
48,49,50,69,71,77,78,81,84,86,87,89,103,105,112,114,115,116,118,120,122,124,
127,128,129,138,139,149,155,157,167,168,170,173,176,178,182,184,185,189,191,
194,195,201,205,208,211,278,292,297,302,308,315,320,326,329,330,336,339,347,
351,353,356,359,373,374,381,383,398,400,407,409,410,414,416,421,424,436,445,
528,539,558,572,573,587,592,594,759,792,820,832,841,887,890,895,926,941,977,
990,999,1014,1022,1454],[1,2,4,5,11,21,27,31,32,51,66,68,80,85,111,138,196,
199,277,321,334,352,368,463,471,712,835,954,1455],[1,2,3,4,5,6,11,13,15,16,17,
20,21,22,24,27,29,30,31,32,35,36,37,41,42,68,69,71,72,74,77,78,84,86,87,89,90,
100,103,107,109,116,117,120,122,128,129,138,141,144,146,148,158,164,165,168,
171,175,184,187,194,201,272,279,288,291,298,302,306,310,322,324,329,336,337,
346,356,374,377,380,383,394,396,400,401,410,414,421,422,424,432,511,543,577,
584,709,718,772,793,802,814,934,944,963,966,968,1008,1014,1023,1025,1456],[1,
2,4,6,7,11,20,27,29,31,32,34,36,38,43,46,49,68,73,76,80,85,91,106,114,145,153,
164,167,168,170,173,174,184,185,195,213,264,300,338,387,404,442,443,503,530,
535,545,558,590,706,848,897,902,1049,1457],[1,2,4,6,11,20,27,29,31,32,34,51,
68,73,76,80,85,91,168,184,196,199,264,300,338,387,442,463,471,706,905,984,
1458],[1,2,3,5,6,7,13,17,20,21,23,25,27,28,29,30,34,36,37,38,39,40,41,43,45,
48,50,52,69,76,77,81,86,101,103,105,106,121,122,123,124,125,126,130,131,144,
147,151,152,153,159,162,163,172,178,180,189,201,203,211,218,219,220,286,295,
312,320,353,356,376,379,384,392,417,427,438,447,449,467,473,475,476,481,492,
495,515,516,521,522,524,542,545,735,829,845,882,947,986,1027,1084,1093,1098,
1099,1459],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,35,37,38,46,51,53,66,
72,73,78,81,84,85,86,88,108,109,110,113,115,119,128,132,151,152,154,159,160,
162,169,171,172,208,217,274,289,291,318,328,338,340,391,394,407,431,433,479,
490,502,518,546,549,554,715,762,831,928,930,932,1007,1460],[1,2,4,5,7,11,21,
27,31,32,36,38,44,46,47,66,68,80,85,101,111,118,138,142,145,149,164,167,170,
174,185,195,277,321,334,352,368,434,440,469,530,535,544,563,572,712,956,995,
1019,1091,1461],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,35,36,37,
46,50,51,66,69,72,73,74,84,85,86,88,103,105,107,109,113,115,116,127,128,129,
132,144,157,158,162,169,171,172,178,201,217,274,289,293,318,322,328,338,356,
391,401,433,444,457,479,499,511,518,528,550,715,727,831,972,973,1004,1015,
1462],[1,2,6,13,29,32,34,36,37,65,86,89,91,94,103,137,140,145,161,196,294,313,
317,335,385,482,512,525,575,589,703,758,920,1039,1110,1463],[1,2,6,13,29,32,
36,37,45,65,86,89,103,137,145,186,294,313,317,335,385,455,758,878,961,1464],[
1,2,5,6,7,13,16,20,21,23,25,27,28,29,30,32,36,37,38,39,40,41,65,77,78,81,84,
86,87,89,103,121,123,126,132,137,145,149,172,173,182,185,194,203,208,211,263,
294,295,304,313,317,327,332,335,346,350,353,354,359,367,373,374,380,381,385,
394,398,400,401,407,410,432,437,445,747,753,758,804,808,843,869,900,937,965,
969,987,1003,1009,1012,1465],[1,2,4,6,11,13,15,20,22,27,29,32,34,35,37,45,72,
73,76,80,86,87,88,89,91,137,140,147,148,161,171,186,187,264,274,287,299,309,
319,371,398,422,430,448,455,456,482,733,776,998,1034,1040,1466],[1,2,4,6,11,
13,15,20,22,29,30,32,36,72,73,78,80,82,89,94,103,137,140,148,161,196,266,273,
287,299,311,317,350,396,430,471,485,512,525,548,717,743,1002,1082,1110,1467],[
1,2,4,5,6,11,13,15,20,21,22,24,27,29,31,32,41,42,66,68,72,73,77,79,80,82,85,
89,94,98,99,128,132,137,138,140,146,148,161,162,165,168,184,187,266,270,273,
280,287,299,300,303,307,318,321,325,328,334,352,360,368,387,397,403,430,442,
485,512,577,585,687,731,743,749,766,813,828,836,861,862,868,874,919,976,
1468],[1,2,4,5,6,7,13,15,16,20,21,23,25,27,28,29,30,31,36,37,38,39,40,41,71,
77,78,81,84,86,87,103,120,121,126,128,149,157,158,164,173,182,184,194,195,203,
208,211,288,295,298,308,309,326,329,337,347,351,353,354,359,367,373,374,380,
383,385,394,400,401,407,416,424,432,445,748,811,815,818,832,869,887,908,934,
963,979,987,1000,1031,1469],[1,2,4,5,6,7,13,15,16,20,21,23,25,27,28,29,30,31,
32,36,37,38,39,40,41,46,47,49,71,77,78,81,84,86,87,89,103,107,114,115,117,118,
121,126,138,148,149,157,167,168,170,173,184,185,191,195,203,205,208,211,278,
295,306,310,319,326,330,337,339,346,350,351,353,359,380,381,383,385,398,401,
407,409,410,416,421,424,432,436,437,445,459,514,558,572,711,773,801,802,818,
822,896,926,943,951,977,987,997,1009,1022,1470],[1,2,5,6,7,13,16,20,21,27,28,
30,32,33,34,38,41,43,47,49,52,53,76,77,81,84,89,110,112,114,117,118,119,123,
125,127,130,150,151,152,153,157,158,162,163,167,172,191,213,221,304,315,330,
339,348,375,379,384,415,437,477,496,503,520,521,531,533,537,555,767,864,877,
911,918,921,983,1471],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,32,35,36,
37,38,41,42,72,77,78,81,83,84,85,86,87,89,100,101,103,106,112,127,141,158,165,
166,171,174,175,182,185,187,208,276,288,291,293,308,309,312,315,317,345,346,
347,354,367,373,374,377,380,381,385,396,398,401,407,409,410,416,422,432,445,
754,770,810,815,834,844,873,890,988,1000,1003,1008,1009,1016,1031,1472],[1,2,
3,4,5,7,11,13,15,16,17,21,22,27,28,30,32,36,46,50,51,66,69,72,74,80,82,84,85,
89,103,105,107,109,113,115,116,127,128,129,132,144,157,158,169,172,178,273,
293,321,322,325,328,346,368,391,414,433,444,452,453,457,499,511,528,550,723,
749,960,972,991,1004,1029,1473],[1,2,3,5,6,7,13,17,20,21,27,28,30,33,34,38,41,
43,47,48,49,53,69,76,77,78,81,87,110,114,118,119,122,123,124,129,130,131,144,
150,153,154,160,162,163,172,178,191,213,221,297,308,330,336,348,379,384,415,
416,417,458,480,496,503,520,524,533,551,556,792,864,875,883,884,913,983,
1474],[1,2,3,6,13,17,29,32,36,37,45,65,69,86,89,103,137,186,196,201,259,294,
335,356,414,455,525,769,878,920,1475],[1,2,4,5,6,7,13,15,16,20,21,23,25,27,28,
29,30,31,32,36,37,38,39,40,41,71,77,78,81,84,86,87,89,103,109,112,121,126,127,
138,148,158,168,182,184,185,194,195,203,205,272,288,295,310,311,315,319,331,
337,346,350,351,354,367,373,374,381,383,385,394,398,400,401,409,410,416,421,
424,436,437,746,772,804,822,840,869,890,892,896,933,934,938,975,993,997,
1476],[1,2,4,5,6,11,20,21,27,29,31,32,44,51,66,68,73,80,85,138,142,161,162,
184,199,287,316,318,334,434,442,463,750,954,956,1477],[1,2,4,6,11,20,29,31,32,
43,51,68,73,80,153,161,168,199,270,287,300,443,463,675,902,984,1478],[1,2,3,5,
6,7,13,17,20,21,27,28,30,33,34,38,41,44,48,50,52,69,76,77,78,81,87,105,122,
123,124,125,130,131,142,144,150,151,152,159,162,163,172,178,180,189,214,286,
308,320,324,331,376,384,390,415,416,417,427,438,475,493,501,521,522,524,778,
913,915,924,942,947,1011,1479],[1,2,3,4,5,6,7,13,15,16,17,19,20,21,27,28,30,
31,34,41,42,46,48,50,52,53,69,71,75,76,77,78,79,83,84,87,97,105,107,108,109,
110,111,112,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,144,
151,152,154,157,158,159,160,162,163,172,178,272,283,284,288,290,302,306,323,
324,329,336,344,348,358,362,372,375,376,382,384,406,411,412,413,417,419,425,
426,427,428,429,435,441,446,450,451,458,470,475,477,478,480,483,494,499,502,
509,511,513,522,523,524,527,528,531,536,537,538,539,543,546,550,551,554,556,
793,826,865,870,871,875,909,949,950,959,1075,1088,1100,1107,1111,1120,1121,
1130,1480],[1,2,4,6,7,13,15,28,29,31,32,34,35,36,37,38,71,81,82,86,88,89,91,
94,103,137,140,148,161,167,195,196,211,310,317,339,351,353,395,448,482,485,
512,525,567,581,780,809,817,1045,1110,1481],[1,2,4,7,11,13,15,22,27,28,32,36,
38,72,80,81,82,85,89,103,145,166,167,174,185,196,270,273,313,316,339,345,368,
381,397,471,525,532,535,548,741,779,1002,1073,1087,1482],[1,2,4,6,7,11,13,15,
20,22,24,29,31,32,36,38,46,49,51,68,72,73,80,98,99,106,114,137,145,146,148,
164,167,168,170,173,174,183,185,195,199,223,300,303,307,325,404,430,463,530,
535,558,560,590,591,766,897,984,1083,1124,1483],[1,2,3,4,6,7,11,13,15,16,17,
20,22,27,28,29,30,32,35,36,37,38,69,72,73,74,78,81,84,86,87,88,89,103,116,144,
145,166,171,174,178,185,187,201,205,211,274,293,297,309,313,317,319,322,324,
345,347,350,353,354,356,367,374,380,381,385,396,398,401,410,414,422,436,437,
445,727,733,799,808,850,858,895,896,903,988,996,1003,1020,1023,1031,1484],[1,
2,6,7,13,28,29,30,32,34,37,38,65,78,81,86,89,91,94,137,140,161,167,172,196,
205,311,327,335,339,436,482,512,525,567,581,703,705,920,1045,1082,1485],[1,2,
4,6,7,13,15,16,28,29,31,32,37,38,45,46,71,81,84,86,89,115,148,170,186,196,208,
278,310,337,407,437,455,525,773,809,945,1486],[1,2,4,6,7,13,15,28,29,31,32,36,
37,38,45,51,71,81,86,89,103,148,167,169,186,195,211,310,317,339,351,353,386,
455,780,821,945,1487],[1,2,4,6,7,11,12,20,24,27,29,31,32,36,38,46,49,51,68,73,
80,85,96,106,114,145,164,167,168,170,173,174,184,185,195,199,207,223,262,296,
300,352,404,442,463,530,535,558,582,586,590,722,897,984,1114,1122,1488],[1,2,
5,6,13,20,21,26,27,29,32,36,37,39,40,41,65,77,86,87,89,103,123,132,137,139,
155,176,196,292,294,309,332,335,409,525,752,920,961,1489],[1,2,4,5,7,11,12,13,
15,21,22,27,28,30,36,38,46,51,53,66,67,72,78,81,85,103,108,109,110,113,115,
119,128,132,151,152,154,159,160,166,169,172,174,183,207,260,289,293,328,340,
345,391,396,431,433,474,490,502,526,546,549,554,681,719,930,964,1004,1007,
1015,1490],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,35,36,37,38,
41,42,48,50,69,72,74,77,78,81,83,84,85,86,87,89,100,103,105,108,113,116,124,
141,144,149,157,158,165,166,167,171,173,174,175,178,187,189,194,201,205,208,
276,288,297,308,309,320,322,324,326,331,339,340,345,347,350,354,356,359,367,
374,377,396,398,400,407,409,410,414,416,422,436,445,457,513,562,596,745,778,
799,815,832,834,854,858,872,926,975,999,1016,1023,1026,1491],[1,2,5,6,13,19,
20,21,23,25,27,29,32,33,34,37,39,40,41,45,65,75,76,77,86,87,89,97,111,121,123,
126,130,132,137,147,150,162,203,204,218,295,304,332,335,384,392,398,413,415,
450,473,481,508,553,700,747,825,846,911,955,986,1492],[1,2,5,6,7,13,20,21,23,
25,27,28,29,30,32,37,38,39,40,41,43,44,52,53,65,77,78,81,86,87,89,110,119,121,
123,125,126,131,132,137,142,151,152,153,154,159,160,163,172,203,215,220,295,
304,327,332,335,348,376,379,390,398,449,458,468,516,519,521,523,546,549,747,
837,910,918,1006,1024,1027,1493],[1,2,5,6,7,13,14,16,18,20,21,25,26,27,28,30,
34,36,41,43,45,52,76,77,78,84,101,102,103,104,106,107,112,117,123,125,130,131,
147,153,154,157,158,159,160,162,163,172,182,193,194,200,202,209,269,283,306,
312,358,373,375,376,379,384,392,400,425,451,458,461,465,472,477,483,488,492,
495,500,515,517,540,545,552,720,812,829,838,842,845,949,1037,1116,1128,1129,
1494],[1,2,4,7,11,13,15,22,24,27,28,31,32,36,38,46,51,68,71,72,80,81,85,90,
103,115,146,164,166,169,170,174,187,195,199,278,279,296,298,303,345,351,352,
357,403,454,463,529,530,732,739,939,1114,1124,1495],[1,2,4,5,6,7,11,13,15,20,
21,22,27,28,29,30,31,32,35,36,37,38,41,42,46,47,49,65,71,72,77,78,81,86,87,89,
99,100,103,108,109,113,114,115,118,123,132,137,138,141,149,165,166,167,168,
170,171,172,173,174,175,182,184,185,187,191,195,205,211,265,272,278,294,311,
327,330,331,332,335,339,340,345,350,351,353,354,359,367,372,373,377,381,383,
391,396,416,421,422,424,436,445,558,565,570,572,585,588,686,705,768,840,843,
872,904,922,977,993,994,1005,1012,1022,1026,1496],[1,2,4,5,6,7,11,13,15,16,20,
21,22,27,28,29,30,31,32,35,36,37,38,41,42,65,71,72,77,78,81,84,86,87,89,99,
100,103,107,112,117,123,127,132,137,138,141,157,158,165,166,168,171,172,174,
175,184,187,194,195,208,263,265,288,291,294,306,315,326,327,332,335,337,345,
346,351,374,377,380,383,394,396,400,401,407,410,421,422,424,432,437,477,550,
570,585,696,753,757,802,818,873,900,904,922,934,938,965,968,1008,1028,1497],[
1,2,5,6,7,13,16,20,21,26,27,28,29,30,32,36,37,38,39,40,41,47,49,65,77,78,81,
84,86,87,89,103,107,112,114,117,118,123,127,132,137,139,149,155,157,158,172,
173,176,182,185,191,194,208,211,263,288,292,294,306,309,315,326,327,330,331,
332,335,350,353,354,359,367,373,374,380,381,394,400,407,409,410,416,432,437,
445,477,550,573,587,752,757,768,811,815,841,843,890,900,943,951,965,975,1012,
1013,1498],[1,2,3,5,6,7,13,14,17,18,20,21,25,26,27,28,30,34,41,44,45,48,53,69,
76,77,78,102,104,110,119,122,123,124,129,130,131,142,144,147,154,160,162,163,
172,178,181,202,206,209,269,331,336,348,384,390,392,417,458,461,464,472,480,
505,524,551,556,677,812,847,875,891,942,971,1499],[1,2,3,5,6,7,13,17,19,20,21,
23,25,27,28,29,30,33,36,37,38,39,40,41,44,48,50,53,69,75,77,81,86,101,103,105,
106,110,111,119,121,124,126,129,132,142,144,150,152,154,159,162,163,172,178,
179,189,201,203,204,211,214,215,281,295,312,320,348,353,356,382,390,393,413,
415,441,467,468,469,475,484,493,498,499,501,508,510,519,542,549,551,553,735,
800,825,849,923,924,1024,1060,1072,1101,1113,1500],[1,2,4,5,11,21,31,32,44,51,
66,68,80,94,138,142,199,266,270,303,321,334,434,463,731,954,956,1501],[1,2,3,
4,5,6,7,11,13,15,16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,40,41,42,
48,50,69,72,73,74,77,78,81,84,86,88,100,101,103,104,105,106,116,121,122,124,
126,129,133,139,141,143,149,155,156,165,166,171,173,174,175,176,177,182,189,
192,194,201,203,205,208,211,267,274,292,293,295,312,314,320,322,336,345,353,
354,356,359,370,373,377,385,394,396,400,401,407,432,436,467,487,491,542,562,
592,594,596,597,701,708,727,735,760,810,820,830,854,869,914,966,987,1017,1020,
1502],[1,2,3,4,6,7,13,15,16,17,18,27,28,29,30,31,32,36,37,38,39,69,71,78,81,
84,86,87,89,103,116,144,148,156,164,178,184,185,195,201,205,208,211,267,297,
298,302,309,310,324,346,347,350,351,353,354,356,367,374,380,381,383,385,394,
398,401,407,414,424,436,445,701,710,799,804,814,830,858,895,908,941,944,979,
997,1009,1031,1503],[1,2,6,13,18,29,32,36,37,39,65,86,89,103,137,156,196,267,
294,319,335,525,678,920,961,1504],[1,2,5,6,7,13,16,19,20,21,27,28,30,36,38,41,
44,45,52,53,75,77,81,84,87,101,103,106,107,110,111,112,125,127,131,132,142,
147,152,154,157,158,159,162,172,308,312,315,376,380,390,392,413,445,446,469,
483,484,492,509,515,549,550,555,770,800,823,845,852,912,1011,1505],[1,2,3,5,6,
7,13,17,19,20,21,27,28,30,38,41,44,45,47,49,50,52,69,75,77,78,81,87,105,111,
114,118,119,122,125,129,131,132,142,144,147,151,159,160,162,172,178,191,216,
222,297,308,330,336,376,382,390,392,413,416,480,497,499,506,507,522,536,544,
546,792,823,839,871,971,982,1011,1506],[1,2,4,11,12,13,15,22,24,30,31,36,51,
67,68,70,71,72,78,90,96,98,99,103,109,146,164,169,199,262,272,279,298,307,343,
357,383,396,439,454,463,466,474,582,591,676,709,859,939,1070,1507],[1,2,4,6,7,
11,13,15,20,22,28,29,32,36,38,72,73,80,81,82,89,94,103,137,140,145,148,161,
166,167,174,185,196,266,273,287,299,313,339,345,381,430,471,485,512,525,532,
535,548,567,575,581,589,741,743,1002,1038,1039,1045,1067,1137,1508],[1,2,4,5,
6,7,11,13,15,16,20,21,22,27,28,29,30,32,35,36,37,38,41,42,47,49,72,77,78,80,
81,82,84,86,87,89,100,103,108,112,113,114,118,127,141,145,157,165,166,167,171,
174,175,182,185,187,191,205,208,211,273,291,304,313,315,319,326,330,339,340,
345,346,350,353,373,374,377,381,398,401,407,409,410,416,422,432,436,437,445,
532,535,565,588,738,741,767,801,808,873,890,896,926,931,951,969,994,1026,1028,
1509],[1,2,5,6,13,20,21,26,27,29,32,34,37,39,40,41,45,65,77,86,87,89,91,94,
123,132,137,139,140,155,161,176,186,202,218,292,309,332,335,409,455,482,512,
561,578,703,752,878,1033,1034,1510],[1,2,4,5,6,7,13,15,19,20,21,27,28,31,34,
36,38,41,42,43,44,47,49,71,75,76,77,79,81,83,87,97,103,111,114,118,120,123,
128,130,132,142,153,162,191,195,213,222,314,329,330,351,379,384,390,411,412,
413,426,445,450,470,503,507,520,544,765,864,870,880,957,982,1021,1511],[1,2,4,
5,6,7,11,13,15,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,68,71,72,77,78,
81,86,87,89,90,100,101,103,106,108,109,113,120,128,138,141,145,146,148,149,
164,165,168,171,173,175,182,184,185,187,195,205,272,279,293,298,310,311,312,
313,329,331,340,347,350,351,354,359,367,373,377,381,383,385,396,416,421,422,
424,436,563,577,584,590,709,724,729,737,810,840,872,887,903,925,979,993,997,
1005,1025,1512],[1,2,4,5,6,7,11,13,15,16,18,20,21,22,23,25,26,28,29,30,35,36,
37,38,39,40,41,42,47,49,72,73,77,78,81,84,86,88,100,103,104,107,108,112,113,
114,117,118,121,126,127,133,139,141,143,149,155,156,165,166,171,173,174,175,
176,177,182,191,192,194,203,205,208,211,267,274,291,292,295,306,315,330,331,
340,345,353,354,359,370,373,377,385,394,396,400,401,407,432,436,459,487,491,
514,565,573,587,588,597,708,711,746,762,830,841,869,872,873,968,987,994,1013,
1020,1513],[1,2,4,5,6,7,11,13,15,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,
42,46,47,49,68,71,72,77,78,81,86,87,89,90,100,103,108,113,114,115,118,120,128,
138,141,146,148,149,164,165,166,167,168,170,171,173,174,175,182,184,185,187,
191,195,205,211,278,279,293,298,310,314,317,329,330,339,340,345,347,350,351,
353,359,373,377,381,383,385,416,421,422,424,436,445,529,530,558,565,572,577,
584,588,724,739,765,780,887,889,908,977,988,994,997,1017,1022,1025,1026,
1514],[1,2,4,5,6,7,11,20,21,27,29,31,32,36,38,46,47,66,68,73,80,85,101,118,
138,145,149,161,162,164,167,170,174,184,185,195,196,287,316,318,334,440,442,
471,530,535,563,567,572,575,750,835,1019,1067,1073,1515],[1,2,4,5,6,11,13,15,
20,21,22,24,27,29,31,32,41,42,66,68,72,73,77,79,80,83,85,87,97,98,99,111,120,
123,128,130,132,137,138,146,148,161,162,165,184,187,268,275,276,277,280,287,
289,296,301,307,316,318,321,328,334,338,352,360,368,387,397,403,430,442,450,
470,577,585,692,712,775,819,836,857,868,879,885,886,962,980,1001,1010,1030,
1516],[1,2,3,4,5,7,11,12,13,15,16,17,21,22,27,28,30,46,50,51,66,67,69,72,74,
84,85,105,107,109,113,115,116,127,128,129,132,144,157,158,169,172,178,183,207,
260,289,291,322,328,391,433,444,457,474,499,511,526,528,550,681,684,928,932,
964,972,973,1517],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,68,72,73,80,82,83,85,
87,89,97,98,99,120,123,137,140,146,148,184,187,268,270,273,276,289,296,299,
301,303,307,316,325,338,352,360,368,387,397,403,430,442,698,716,730,779,828,
861,863,879,886,958,962,976,980,1030,1518],[1,2,4,5,6,11,13,15,20,21,22,24,27,
29,31,32,34,35,37,41,42,66,68,72,73,76,77,79,80,85,86,88,91,98,99,120,123,128,
130,132,137,138,140,146,148,161,162,165,168,171,184,187,264,274,275,280,287,
289,299,300,301,307,316,318,321,328,334,338,352,360,368,384,387,397,403,412,
430,442,448,482,570,577,584,585,685,706,715,750,776,816,819,836,857,862,863,
868,874,980,1010,1519],[1,2,4,11,13,15,22,27,30,32,36,72,78,80,82,85,89,103,
196,270,273,311,316,317,350,368,396,397,471,525,548,717,779,1002,1520],[1,2,5,
6,7,13,16,20,21,27,28,30,32,33,34,41,44,52,76,77,78,84,89,107,112,117,123,125,
130,131,142,150,154,157,158,159,160,162,163,172,283,304,306,311,331,358,375,
376,384,390,410,415,425,451,458,477,483,534,547,784,907,910,911,915,942,949,
1521],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,32,35,36,37,38,41,42,48,
50,69,72,74,77,80,81,82,84,86,87,89,100,103,105,116,124,141,145,149,165,166,
167,171,173,174,175,178,185,187,189,194,201,208,211,273,293,297,304,313,314,
317,319,320,322,339,345,346,347,353,356,359,377,380,381,385,398,400,407,409,
414,422,437,445,532,535,562,596,723,741,787,801,807,850,854,895,931,937,988,
996,999,1009,1017,1522],[1,2,4,6,7,11,20,27,29,31,32,36,38,43,46,49,68,73,80,
85,106,114,130,145,153,164,167,168,170,173,174,185,195,275,296,300,338,360,
404,443,495,520,530,535,558,590,786,893,897,902,1049,1523],[1,2,4,6,11,13,15,
20,22,24,29,31,32,43,68,72,73,80,98,99,137,146,148,153,168,196,300,303,307,
325,430,443,471,766,902,905,1524],[1,2,4,6,13,15,29,30,31,32,36,37,45,51,71,
78,86,89,103,145,148,169,186,310,311,313,354,383,386,455,729,821,945,1525],[1,
2,4,5,6,11,13,15,16,20,21,22,27,29,36,51,66,72,73,83,84,85,87,97,103,111,120,
123,128,130,132,162,169,268,275,276,277,291,293,301,318,328,365,366,374,380,
433,450,470,728,754,775,906,932,946,1004,1526],[1,2,4,5,6,7,13,14,15,18,20,21,
25,26,27,28,30,31,32,41,43,44,46,52,53,71,77,87,89,102,104,108,109,110,115,
119,120,125,128,131,138,142,151,152,153,154,159,160,163,168,172,181,193,200,
206,269,304,329,348,372,376,379,390,409,421,464,478,488,494,500,502,505,523,
554,751,838,847,909,910,918,1021,1527],[1,2,5,6,7,13,16,19,20,21,27,28,30,36,
41,43,45,53,75,77,78,84,87,103,107,110,111,117,119,127,132,147,151,153,157,
158,159,160,162,163,172,284,306,308,314,348,367,374,379,392,413,419,429,446,
451,465,531,546,550,552,788,823,842,865,880,884,974,1528],[1,2,4,6,11,12,20,
24,27,29,31,32,43,68,73,80,85,96,153,168,184,196,262,296,300,352,442,443,471,
722,902,905,1529],[1,2,3,4,6,7,11,13,15,16,17,20,22,24,27,28,29,30,31,46,48,
51,68,69,71,72,73,74,84,85,90,109,112,113,115,116,117,120,122,123,124,144,146,
157,158,169,172,178,184,223,279,289,291,296,301,302,322,337,391,418,433,442,
457,466,477,524,539,541,543,718,763,899,928,946,973,1018,1530],[1,2,4,6,7,11,
13,15,20,22,24,27,28,29,30,31,36,38,46,51,52,68,71,72,73,78,81,85,90,103,108,
109,113,115,120,123,125,131,146,151,152,154,160,163,169,172,184,195,223,279,
289,293,296,301,340,351,378,383,391,433,442,458,466,478,490,494,521,541,724,
763,901,906,930,1015,1018,1531],[1,2,5,6,7,13,20,21,27,28,30,33,38,41,45,47,
49,52,53,65,77,78,81,87,110,114,118,119,123,125,131,132,147,150,151,152,154,
159,160,163,172,191,216,221,327,330,331,332,348,376,392,415,416,458,496,497,
506,521,523,533,546,549,768,839,846,891,915,983,1006,1532],[1,2,4,6,13,15,18,
27,29,31,32,37,39,51,71,86,87,89,148,156,169,184,196,267,309,310,386,398,424,
525,710,809,821,1533],[1,2,3,4,5,6,7,13,15,16,17,20,21,27,28,31,33,38,41,43,
44,45,46,48,50,69,71,77,81,84,87,105,112,115,116,120,124,127,128,142,147,150,
153,157,170,178,189,214,219,278,297,302,315,320,326,329,379,390,392,415,447,
476,493,501,528,539,759,852,882,921,924,967,1021,1534],[1,2,3,5,6,7,13,17,19,
20,21,27,28,30,32,36,38,41,43,45,48,50,53,69,75,77,81,89,103,105,110,111,119,
124,129,132,144,147,152,153,154,159,162,163,172,178,179,185,189,219,281,304,
314,320,348,379,381,382,392,393,413,414,441,447,475,476,499,549,551,787,880,
882,918,923,955,974,1535],[1,2,4,6,11,13,15,20,22,24,27,29,31,32,68,71,72,73,
80,85,90,97,120,123,130,137,140,146,148,161,168,184,187,268,275,279,287,289,
296,299,300,301,303,316,338,352,360,368,387,397,403,430,442,732,763,786,813,
819,857,861,863,876,886,958,962,1010,1536],[1,2,3,4,5,6,7,11,13,15,16,17,20,
21,22,27,28,29,30,38,46,48,50,52,53,66,69,72,73,74,78,81,83,84,85,87,97,105,
107,108,109,110,111,112,113,115,116,117,119,120,122,123,124,125,127,128,129,
130,131,132,144,151,152,154,157,158,159,160,162,163,172,178,268,275,276,277,
288,290,297,301,305,318,322,324,326,328,340,342,344,358,378,391,393,418,419,
425,427,429,431,435,438,441,444,450,451,457,458,470,475,477,478,480,483,490,
494,499,502,509,511,513,521,522,523,524,527,528,531,536,537,538,539,543,546,
549,550,551,554,555,556,704,745,775,796,856,894,899,901,972,1007,1047,1062,
1075,1086,1088,1100,1120,1126,1130,1537],[1,2,4,6,11,20,27,29,31,32,51,68,73,
80,85,130,168,196,199,275,296,300,338,360,463,471,786,905,984,1538],[1,2,4,5,
6,11,13,15,18,20,21,22,23,25,26,27,29,32,35,37,39,40,41,42,45,72,73,77,80,85,
86,88,100,104,121,126,130,133,139,140,141,143,147,155,156,165,171,175,176,177,
186,192,203,267,274,275,292,295,299,370,371,377,387,397,455,456,461,473,487,
491,561,593,597,708,734,797,998,1036,1539],[1,2,5,6,7,13,16,19,20,21,27,28,30,
32,41,43,45,53,75,77,78,84,89,107,110,111,117,119,127,132,147,151,153,157,158,
159,160,162,163,172,284,304,306,311,331,348,379,392,410,413,419,429,446,451,
465,531,546,550,552,784,803,842,865,891,918,955,1540],[1,2,4,6,11,13,15,20,22,
27,29,32,35,37,45,72,73,80,85,86,87,88,89,130,140,147,171,186,187,274,275,299,
309,319,371,387,397,398,422,455,456,733,734,998,1541],[1,2,4,5,6,7,13,15,20,
21,27,28,30,31,33,36,41,45,46,52,53,71,77,78,87,101,103,106,108,109,110,115,
119,120,125,128,131,147,150,151,152,154,159,160,163,172,312,329,331,348,367,
372,376,383,392,415,478,492,494,498,502,510,515,523,554,737,845,849,891,909,
915,967,1542],[1,2,3,5,6,7,13,17,19,20,21,27,28,30,32,36,41,44,45,50,52,69,75,
77,78,89,101,103,105,106,111,119,122,125,129,131,132,142,144,147,151,159,160,
162,172,178,304,312,336,350,376,382,390,392,413,414,469,480,484,492,499,515,
522,536,546,725,800,845,871,910,955,971,1543],[1,2,5,6,7,13,20,21,27,28,30,33,
36,38,41,45,52,53,65,77,78,81,87,101,103,106,110,119,123,125,131,132,147,150,
151,152,154,159,160,163,172,294,312,314,327,332,347,348,376,392,415,458,492,
498,510,515,521,523,546,549,726,845,846,849,940,974,1006,1544],[1,2,3,4,5,7,
11,13,15,16,17,21,22,24,27,28,30,31,32,46,50,51,66,68,69,71,72,74,80,84,85,90,
105,107,109,113,115,116,127,128,129,132,138,144,146,157,158,169,172,178,223,
279,291,302,322,325,328,334,337,352,391,433,444,457,466,499,511,528,541,550,
718,744,932,972,992,1018,1029,1545],[1,2,5,6,7,13,16,20,21,27,28,30,33,34,36,
41,44,52,76,77,78,84,87,103,107,112,117,123,125,130,131,142,150,154,157,158,
159,160,162,163,172,283,306,308,314,358,367,374,375,376,384,390,415,425,451,
458,477,483,534,547,788,907,913,940,949,957,1011,1546],[1,2,4,5,6,7,11,13,15,
16,20,21,22,27,28,29,30,32,35,36,37,38,41,42,72,77,78,80,81,82,84,86,87,89,
100,103,107,108,113,117,141,149,158,165,171,173,175,185,187,194,205,273,288,
291,304,306,311,317,319,331,340,346,350,354,359,367,377,380,381,394,396,398,
400,401,409,410,416,422,436,437,717,738,784,872,892,896,931,933,937,943,968,
975,1003,1005,1008,1547],[1,2,3,5,6,7,13,17,20,21,27,28,30,32,33,34,36,41,43,
48,53,69,76,77,78,89,101,103,106,110,119,122,123,124,129,130,131,144,150,153,
154,160,162,163,172,178,304,312,336,348,350,379,384,414,415,417,458,480,495,
498,510,524,545,551,556,725,829,849,875,883,911,918,1548],[1,2,4,5,7,11,13,15,
21,22,24,27,28,30,31,32,36,38,46,51,53,66,68,71,72,78,80,81,85,90,103,108,109,
110,113,115,119,128,132,138,146,151,152,154,159,160,169,172,195,223,279,293,
325,328,334,340,351,352,383,391,431,433,466,490,502,541,546,549,554,724,744,
929,960,1004,1007,1018,1549],[1,2,5,6,7,13,16,20,21,27,28,30,33,38,41,43,44,
45,65,77,78,81,84,87,107,112,117,123,127,132,142,147,150,153,157,158,172,263,
288,306,315,326,327,332,379,390,392,415,465,477,534,547,550,552,757,837,842,
846,852,907,921,1550],[1,2,4,6,7,11,20,29,31,32,36,38,46,49,68,73,80,106,114,
145,161,164,167,168,170,173,174,185,195,196,270,287,300,404,471,530,535,558,
567,575,590,675,897,905,1067,1087,1551],[1,2,4,5,6,7,13,15,16,20,21,26,27,28,
29,31,32,36,37,38,39,40,41,47,49,71,77,81,84,86,87,89,101,103,106,112,114,118,
120,127,128,138,139,145,149,155,157,164,168,173,176,184,185,191,194,195,208,
211,292,298,308,312,313,314,315,326,329,330,337,346,347,351,353,359,374,380,
381,385,398,400,401,407,409,421,424,432,437,445,563,573,587,590,765,770,807,
808,818,832,841,908,914,925,938,951,963,990,1009,1552],[1,2,4,5,11,13,15,21,
22,24,27,31,32,44,66,68,72,80,85,98,99,128,132,138,142,146,196,296,307,328,
334,397,434,471,756,835,956,1553],[1,2,3,4,7,11,13,15,16,17,22,27,28,30,32,38,
51,69,72,74,78,80,81,83,84,85,87,108,113,116,144,157,158,169,178,276,288,289,
297,316,322,324,325,326,340,360,365,366,433,457,513,716,728,745,929,930,973,
1029,1554],[1,2,3,5,6,7,13,17,20,21,27,28,30,33,38,41,43,44,45,48,50,65,69,77,
78,81,87,105,122,123,124,129,132,142,144,147,150,153,172,178,189,214,219,259,
297,320,324,327,332,336,379,390,392,415,447,476,493,499,501,524,777,837,846,
882,883,924,971,1555],[1,2,4,5,6,13,15,19,20,21,27,30,31,34,36,41,42,43,44,71,
75,76,77,78,79,83,87,97,101,103,106,111,120,123,128,130,132,142,153,162,312,
329,331,367,379,383,384,390,411,412,413,426,450,469,470,484,495,545,737,800,
803,829,870,942,1021,1556],[1,2,3,5,6,7,13,17,20,21,27,28,30,32,33,34,36,38,
41,44,48,50,52,69,76,77,81,89,103,105,122,123,124,125,130,131,142,144,150,151,
152,159,162,163,172,178,180,185,189,214,286,304,314,320,376,381,384,390,414,
415,417,427,438,475,493,501,521,522,524,787,910,911,924,940,947,957,1557],[1,
2,4,7,11,13,15,16,22,27,28,30,32,36,46,72,80,83,84,85,87,103,109,113,115,151,
152,154,160,172,276,289,290,291,293,305,316,325,360,374,380,391,435,490,523,
704,716,754,928,960,992,1015,1558],[1,2,4,5,7,11,21,31,32,36,38,46,47,66,68,
80,94,101,118,138,145,149,164,167,170,174,185,195,196,266,270,303,321,334,440,
471,530,535,563,572,581,589,731,835,1019,1038,1087,1559],[1,2,4,5,7,11,12,21,
24,31,32,36,38,46,47,51,66,68,80,96,101,118,138,145,149,164,167,170,174,185,
195,199,207,223,262,303,334,440,463,530,535,563,572,582,586,679,954,1019,1122,
1124,1560],[1,2,3,4,5,6,13,15,16,17,20,21,27,30,31,33,41,43,44,45,69,71,77,78,
84,87,107,109,116,117,120,122,128,129,142,144,147,150,153,158,272,288,302,306,
324,329,336,379,390,392,415,465,511,534,543,547,552,793,842,883,907,967,971,
1021,1561],[1,2,4,5,6,11,13,15,18,20,21,22,23,25,26,29,32,34,35,37,39,40,41,
42,45,72,73,76,77,80,86,88,91,100,104,121,126,133,137,139,140,141,143,147,148,
155,156,161,165,171,175,176,177,186,192,202,203,209,218,264,267,274,287,292,
295,299,370,371,377,430,448,455,456,472,481,482,487,491,561,578,580,593,597,
708,776,927,998,1033,1036,1103,1132,1562],[1,2,3,4,5,6,7,13,15,16,17,19,20,21,
27,28,30,31,34,38,41,42,46,48,50,52,53,69,71,75,76,77,79,81,83,84,87,97,105,
107,108,109,110,111,112,115,116,117,119,120,122,123,124,125,127,128,129,130,
131,132,144,151,152,154,157,158,159,160,162,163,170,172,178,179,180,189,197,
278,281,286,297,302,305,315,320,326,329,333,342,348,362,372,375,376,382,384,
393,406,411,412,413,417,419,425,426,427,428,435,438,441,446,450,451,470,475,
477,478,483,494,499,502,509,511,513,521,522,523,524,527,528,531,536,537,538,
539,543,549,550,551,554,555,556,759,870,877,898,909,912,923,936,947,948,1062,
1075,1086,1100,1107,1111,1121,1126,1563],[1,2,4,5,7,11,13,15,16,21,22,27,28,
30,32,38,46,51,53,66,72,78,80,81,82,84,85,89,108,109,110,113,115,119,128,132,
151,152,154,159,160,169,172,273,291,321,325,328,340,368,391,410,431,433,437,
452,453,490,502,546,549,554,738,749,929,932,991,992,1007,1564],[1,2,6,13,18,
29,32,34,37,39,45,65,86,89,91,94,137,140,156,161,186,209,218,267,319,335,455,
482,512,580,593,678,703,878,1040,1103,1565],[1,2,4,5,7,11,19,21,31,32,36,38,
44,46,47,66,68,75,80,101,118,138,142,145,149,164,167,170,174,185,195,222,261,
321,334,434,440,484,507,530,535,563,572,683,956,970,1019,1091,1566],[1,2,4,5,
6,13,15,20,21,26,29,31,32,37,39,40,41,51,71,77,86,89,138,139,148,155,168,169,
176,196,292,304,310,319,386,421,525,774,809,821,1567],[1,2,3,5,6,7,13,17,19,
20,21,27,28,30,38,41,43,45,48,50,53,69,75,77,78,81,87,105,110,111,119,124,129,
132,144,147,152,153,154,159,162,163,172,178,179,189,219,281,308,320,324,331,
348,379,382,392,393,413,416,441,447,475,476,499,549,551,778,803,823,882,884,
891,923,1568],[1,2,4,6,13,15,16,29,30,31,32,34,35,37,51,71,78,82,84,86,88,89,
91,94,109,137,140,148,161,169,272,310,337,386,394,395,410,448,452,482,485,512,
518,772,805,817,821,1081,1569],[1,2,4,7,11,12,13,15,22,24,28,31,36,38,46,51,
67,68,70,71,72,81,90,96,98,99,103,115,146,164,166,169,170,174,183,195,199,207,
223,262,278,279,298,307,343,345,351,357,439,454,463,526,529,530,541,560,582,
586,591,676,739,860,939,1070,1083,1122,1134,1570],[1,2,4,5,7,11,13,15,21,22,
24,27,31,32,36,38,46,47,51,66,68,72,80,85,98,99,101,118,128,132,138,145,146,
149,164,167,170,174,183,185,195,199,223,296,307,328,334,397,440,463,530,535,
560,563,572,591,756,954,1019,1083,1114,1571],[1,2,4,7,12,15,22,27,28,32,46,51,
67,82,83,115,152,169,183,187,196,207,305,366,420,453,526,548,794,952,1104,
1572],[1,2,3,5,6,7,11,16,17,18,20,23,25,26,28,29,30,34,36,37,38,39,40,41,43,
45,47,48,49,50,52,73,74,76,91,100,104,106,112,113,114,117,121,122,124,125,131,
135,139,147,153,156,163,173,174,176,180,182,186,189,191,193,194,200,201,202,
203,205,208,209,210,211,212,213,216,218,219,220,264,283,286,370,371,375,378,
404,417,418,443,447,449,460,465,472,476,481,488,492,497,500,503,506,514,515,
516,540,542,545,552,562,573,578,580,588,592,599,600,699,848,927,1051,1063,
1068,1085,1094,1097,1098,1099,1102,1116,1119,1129,1573],[1,2,4,5,6,12,14,15,
18,20,21,22,23,25,26,29,30,35,37,39,40,41,42,43,44,51,67,79,88,92,93,95,102,
104,109,119,121,126,131,133,139,141,142,143,153,155,156,165,169,171,175,176,
177,188,190,192,198,203,271,323,341,349,355,361,364,369,389,449,474,487,488,
489,491,505,518,519,557,564,571,574,579,583,597,795,833,866,917,1090,1105,
1118,1574],[1,2,4,12,15,22,27,30,32,51,67,82,83,109,160,169,187,196,290,366,
420,452,474,548,794,978,1104,1575],[1,2,4,6,15,24,27,29,30,31,35,45,51,83,88,
90,109,160,169,184,186,199,290,365,388,454,456,466,518,888,1066,1095,1576],[1,
2,4,5,6,7,15,20,21,24,28,31,32,33,36,38,42,45,46,47,49,51,52,53,79,82,90,101,
106,110,114,115,118,125,138,145,147,149,150,164,166,167,168,169,170,173,185,
195,197,216,221,223,333,363,399,402,405,408,423,453,492,496,497,510,529,532,
541,558,563,572,590,855,935,989,1032,1053,1069,1077,1577],[1,2,3,4,5,6,7,15,
16,17,18,20,21,23,25,26,27,28,30,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,
50,52,53,76,79,93,104,106,108,110,112,114,115,116,117,120,121,124,125,127,129,
130,135,141,143,147,149,152,153,154,155,157,162,163,166,178,180,182,188,189,
191,192,193,194,197,200,201,202,205,208,209,210,211,212,213,216,218,219,220,
286,333,361,364,375,405,406,412,423,425,438,447,460,461,465,472,473,476,481,
492,494,495,497,500,503,514,516,520,539,540,542,545,551,552,555,565,568,587,
594,595,596,599,600,798,948,989,1058,1063,1065,1085,1092,1093,1098,1109,1117,
1125,1128,1129,1578],[1,2,3,5,6,7,11,16,17,18,20,23,25,26,27,28,29,30,36,37,
38,39,40,41,43,45,47,48,49,50,52,73,74,85,100,104,106,112,113,114,117,121,122,
124,125,130,131,135,139,144,147,151,152,153,154,156,157,158,160,163,173,174,
176,178,182,186,189,191,193,194,200,201,203,205,208,210,211,212,216,219,220,
275,358,370,371,378,404,418,425,427,438,443,447,449,457,460,461,465,473,476,
488,490,492,495,497,500,506,514,515,516,520,537,540,542,552,556,562,573,588,
592,797,893,894,1037,1051,1052,1068,1084,1093,1094,1102,1109,1112,1125,1128,
1579],[1,2,4,5,6,7,12,14,15,18,20,21,22,23,25,26,28,29,35,37,39,40,41,42,43,
44,46,51,52,53,67,79,88,92,93,95,102,104,110,115,121,125,126,133,139,141,142,
143,153,155,156,165,169,171,175,176,177,181,183,188,190,192,193,197,198,200,
203,206,207,215,217,220,271,333,341,349,355,361,364,369,389,464,468,479,487,
489,491,500,516,526,557,559,564,566,568,569,571,574,576,579,583,595,597,795,
798,867,916,1090,1105,1118,1131,1133,1135,1136,1580],[1,2,3,5,6,7,11,14,16,17,
19,21,25,26,28,30,33,36,37,38,40,41,44,47,48,49,50,53,66,74,75,100,101,102,
105,107,110,113,118,119,126,127,129,134,136,142,149,150,155,159,174,179,181,
182,189,191,194,201,204,205,206,208,210,211,212,214,215,221,222,261,281,282,
284,285,382,431,434,440,444,446,459,462,464,467,468,484,486,493,496,498,501,
505,507,510,517,519,533,534,547,553,562,587,588,594,598,601,697,702,970,1035,
1042,1043,1055,1056,1060,1064,1089,1108,1113,1123,1127,1581],[1,2,3,4,5,6,7,
15,16,17,18,20,21,23,25,26,27,28,30,34,35,36,37,38,39,40,41,42,43,45,47,48,49,
50,76,79,93,104,106,108,109,114,116,117,119,120,121,122,124,127,129,130,131,
135,141,143,144,147,149,151,153,155,158,160,162,163,166,182,188,189,191,192,
194,201,202,205,208,209,210,211,212,213,218,219,283,323,358,361,364,405,406,
412,417,423,427,447,449,460,461,465,472,473,476,478,480,481,488,495,503,506,
514,515,520,531,540,542,543,545,552,565,587,594,596,833,853,959,1037,1052,
1058,1065,1084,1092,1097,1099,1112,1116,1117,1119,1582],[1,2,4,5,6,7,15,20,21,
24,30,31,32,33,36,38,42,45,46,47,49,51,79,82,90,101,106,109,114,118,119,131,
138,145,147,149,150,164,166,167,168,169,170,173,185,195,323,363,399,402,405,
408,423,452,466,498,506,515,529,532,533,558,563,572,590,824,827,853,1032,1053,
1069,1077,1583],[1,2,4,5,6,7,12,13,15,20,21,22,24,27,28,29,30,31,32,35,37,41,
42,46,51,67,71,78,79,82,83,88,90,95,96,98,99,108,109,115,119,120,123,128,131,
132,137,138,141,146,148,151,154,159,160,163,165,168,169,171,172,175,183,184,
187,190,199,207,217,223,272,290,323,349,357,365,366,369,372,386,388,395,399,
408,411,420,428,435,439,452,453,458,466,474,478,479,502,518,526,541,546,570,
577,584,585,805,824,826,859,866,888,978,1041,1046,1048,1050,1054,1057,1079,
1106,1584],[1,2,3,4,5,6,7,14,15,16,17,19,20,21,25,26,27,28,30,33,35,36,37,38,
39,40,41,42,44,47,48,49,50,75,79,92,101,102,105,107,108,109,111,112,116,118,
119,122,126,128,129,131,134,136,139,141,142,144,150,154,158,159,160,162,166,
173,177,182,189,191,192,194,198,201,204,205,208,210,211,212,214,222,284,323,
355,362,363,382,389,402,426,429,441,459,462,467,469,480,483,484,486,493,498,
501,502,504,505,507,508,511,517,519,533,534,544,547,553,565,573,592,596,827,
917,950,1055,1059,1060,1061,1071,1072,1074,1076,1080,1115,1123,1127,1585],[1,
2,4,6,7,15,24,27,28,29,31,35,45,46,51,83,88,90,115,152,169,184,186,199,217,
223,305,365,388,454,456,479,541,806,1066,1095,1586],[1,2,4,5,6,7,12,13,15,20,
21,22,24,27,28,29,30,31,32,35,37,38,41,42,46,51,52,53,67,71,79,81,82,83,88,90,
95,96,98,99,108,109,110,115,120,123,125,128,132,137,138,141,146,148,151,152,
154,159,163,165,168,169,170,171,172,175,183,184,187,190,197,199,207,217,223,
278,305,333,349,357,365,366,369,372,386,388,395,399,408,411,420,428,435,439,
452,453,466,474,479,494,518,521,526,541,549,554,559,560,569,570,577,584,585,
586,806,860,867,881,935,936,952,1041,1046,1048,1050,1054,1057,1079,1106,
1587],[1,2,3,5,6,7,11,14,16,17,21,25,26,27,28,30,33,36,37,38,40,41,44,47,48,
49,50,53,66,74,85,100,101,102,105,107,110,111,113,118,119,126,127,129,134,142,
144,149,150,151,152,154,155,157,158,159,160,174,178,181,182,189,191,194,201,
205,206,208,210,211,212,214,215,221,277,282,285,393,419,429,431,434,440,441,
444,457,459,464,467,468,469,486,490,493,496,498,501,504,505,508,509,510,517,
519,533,534,536,544,547,562,587,588,594,851,856,995,1035,1044,1056,1064,1071,
1072,1078,1080,1089,1096,1101,1115,1588],[1,2,3,4,5,6,7,14,15,16,17,19,20,21,
25,26,27,28,30,33,35,36,37,38,39,40,41,42,44,46,47,48,49,50,52,53,75,79,92,
101,102,105,107,108,110,111,112,115,116,118,122,125,126,127,128,134,136,139,
141,142,150,151,152,157,159,162,166,173,177,178,179,181,182,189,191,192,194,
197,198,201,204,205,206,208,210,211,212,214,215,221,222,281,333,355,362,363,
389,393,402,419,426,446,459,462,464,467,468,469,484,486,493,496,501,504,507,
508,510,517,522,528,534,544,547,553,554,555,565,566,573,576,592,596,598,601,
855,898,916,1042,1043,1044,1059,1061,1074,1076,1078,1096,1101,1108,1113,
1589],[1,3,5,7,8,9,10,14,47,50,54,57,58,62,134,224,230,234,236,248,252,603,
623,656,1138,1590],[1,5,8,9,10,14,19,33,55,58,136,224,225,235,236,240,247,602,
608,647,1139,1591],[1,2,7,8,9,10,11,36,38,56,57,60,63,174,224,226,231,237,242,
251,604,629,654,664,1140,1592],[1,5,7,8,9,10,19,44,47,57,58,60,63,222,224,225,
235,240,244,252,604,644,663,671,1139,1593],[1,2,5,6,8,9,10,11,37,41,55,56,58,
59,100,224,226,231,237,246,250,602,621,625,1140,1594],[1,3,5,7,8,9,10,19,50,
53,54,57,58,62,179,224,225,235,240,243,248,603,622,640,1139,1595],[1,5,8,9,10,
14,19,33,55,58,136,224,230,234,235,236,247,602,620,647,1138,1596],[1,2,3,8,9,
10,11,16,17,54,56,62,74,224,226,231,237,245,249,603,609,650,1140,1597],[1,5,7,
8,9,10,14,44,53,57,58,60,63,206,224,230,234,236,243,244,604,659,661,666,1138,
1598],[1,4,7,8,9,10,12,46,51,57,60,61,63,207,224,227,228,229,241,255,256,604,
646,667,669,670,1141,1599],[1,2,3,4,8,11,12,13,15,16,17,22,54,67,69,72,74,84,
116,226,228,260,291,322,609,684,1146,1600],[1,2,4,5,9,11,12,13,15,21,22,27,55,
66,67,72,85,128,132,227,233,260,289,328,611,681,1145,1601],[1,2,4,7,8,11,12,
13,15,22,28,30,36,38,57,67,72,78,81,103,108,113,166,174,226,228,260,293,340,
345,396,614,629,719,1146,1602],[1,2,6,9,13,29,32,34,37,56,65,86,89,91,94,137,
140,161,232,233,335,482,512,618,637,643,703,1603],[1,2,4,5,6,8,11,12,13,15,20,
21,22,29,35,37,41,42,58,66,67,72,73,77,79,86,88,95,100,141,165,171,175,226,
228,260,274,280,369,377,615,625,627,673,1146,1604],[1,2,4,9,11,12,13,15,22,24,
31,56,65,67,68,71,72,90,96,98,99,146,227,233,260,265,279,307,439,618,624,632,
672,1145,1605],[1,2,4,6,9,11,12,13,15,20,22,27,29,32,59,67,72,73,80,85,120,
123,137,148,227,233,260,301,325,397,430,612,638,742,1145,1606],[1,2,5,6,9,13,
19,20,21,27,34,41,56,65,75,76,77,87,97,111,123,130,132,162,225,232,233,332,
384,413,450,613,617,618,628,700,1607],[1,2,5,6,9,11,14,19,21,25,26,33,37,40,
41,55,56,59,66,75,100,102,126,136,150,155,204,225,237,246,250,261,282,285,462,
553,608,616,617,621,702,1151,1168,1169,1608],[1,2,3,5,7,8,11,16,17,19,21,28,
30,50,53,54,57,58,66,74,75,105,107,110,113,119,127,129,159,179,226,235,243,
248,261,281,284,382,431,444,446,609,614,615,622,697,1152,1172,1181,1609],[1,2,
4,6,10,11,20,29,31,32,61,68,73,80,161,168,231,270,287,300,626,675,1154,1610],[
1,2,4,5,10,11,19,21,31,32,61,66,68,75,80,138,231,240,261,321,334,626,683,1148,
1611],[1,2,5,6,9,13,14,18,20,21,25,26,27,41,56,65,77,87,102,104,123,132,233,
234,253,269,308,332,618,680,1153,1612],[1,2,5,6,7,9,13,14,18,20,21,25,26,28,
30,41,43,52,60,77,102,104,125,131,153,159,172,193,200,233,234,253,269,376,379,
488,500,631,655,838,1153,1613],[1,2,5,6,9,13,14,18,20,21,25,26,27,34,41,45,59,
76,77,102,104,123,130,147,162,202,209,233,234,253,269,384,392,461,472,612,645,
812,1153,1614],[1,2,4,7,8,11,12,13,15,22,28,30,46,51,57,67,72,109,113,115,169,
172,183,207,226,228,260,391,433,474,526,614,646,964,1146,1615],[1,2,4,5,8,11,
12,21,24,31,32,58,66,68,80,96,138,226,228,262,303,334,615,679,1149,1616],[1,2,
3,4,9,11,12,13,15,16,17,22,62,67,69,72,74,84,116,227,233,260,291,322,642,684,
1145,1617],[1,2,4,5,6,10,12,14,15,18,20,21,22,23,25,26,29,35,37,39,40,41,42,
61,67,79,88,92,93,95,102,104,121,126,133,139,141,143,155,156,165,171,175,176,
177,192,203,229,230,239,271,341,364,369,389,487,489,491,597,630,639,641,662,
795,1147,1618],[1,2,4,7,9,11,12,13,15,22,28,30,46,51,60,67,72,109,113,115,169,
172,183,207,227,233,260,391,433,474,526,631,667,964,1145,1619],[1,2,4,5,8,11,
12,13,15,21,22,27,58,66,67,72,85,128,132,226,228,260,289,328,615,681,1146,
1620],[1,2,5,6,7,9,13,14,18,20,21,25,26,28,30,41,44,53,60,77,102,104,110,119,
142,163,172,181,206,233,234,253,269,348,390,464,505,631,661,847,1153,1621],[1,
2,3,5,6,9,13,14,17,18,20,21,25,26,30,41,62,69,77,78,102,104,122,129,233,234,
253,269,331,336,642,677,1153,1622],[1,2,6,9,13,18,29,32,37,39,56,65,86,89,137,
156,233,253,267,319,335,618,678,1155,1623],[1,2,4,10,12,15,22,27,32,61,67,82,
83,187,229,420,641,794,1624],[1,2,5,6,9,13,14,18,19,20,21,25,26,27,33,41,55,
75,77,102,104,111,132,136,150,162,204,233,234,253,269,413,415,462,504,611,620,
953,1153,1625],[1,2,4,10,11,12,13,15,22,24,31,61,67,68,70,71,72,90,96,98,99,
146,229,231,238,262,279,307,343,439,626,634,641,657,676,1150,1626],[1,2,3,5,6,
7,9,13,14,17,18,20,21,25,26,28,38,41,47,48,49,50,62,69,77,81,102,104,105,114,
118,124,134,135,189,191,210,212,233,234,253,269,320,330,460,486,642,651,656,
682,1153,1627],[1,2,3,5,6,7,9,17,18,20,25,26,28,34,38,41,43,45,47,48,49,50,52,
55,56,59,60,62,76,104,114,124,125,135,147,153,180,189,191,193,200,202,209,210,
212,213,216,219,232,242,245,246,254,257,286,447,460,472,497,500,503,599,600,
610,613,619,633,636,648,1063,1171,1176,1177,1188,1210,1628],[1,2,5,6,9,13,16,
20,21,27,36,41,55,56,59,65,77,84,87,103,123,132,194,233,246,249,251,263,294,
332,374,380,400,432,611,612,618,658,900,1166,1178,1182,1629],[1,2,6,9,13,18,
29,32,34,37,39,45,59,86,91,137,140,156,161,186,209,218,233,253,267,455,482,
580,593,638,645,1103,1155,1630],[1,2,3,6,9,13,17,29,32,36,37,56,59,62,65,69,
86,89,103,137,201,233,245,250,251,259,294,335,356,414,618,638,642,649,769,
1174,1182,1187,1631],[1,2,3,5,6,7,9,13,17,20,21,27,28,30,38,41,48,50,55,56,59,
60,62,65,69,77,78,81,87,105,122,123,124,129,132,144,172,178,189,233,242,245,
246,254,257,259,297,320,324,327,332,336,499,524,611,612,618,631,642,648,777,
1162,1174,1178,1190,1220,1632],[1,2,3,6,7,9,17,20,23,28,34,36,37,39,43,45,48,
52,56,59,62,76,106,121,124,125,147,153,180,201,211,218,220,232,245,250,251,
286,476,481,492,516,542,545,613,633,635,649,1098,1163,1176,1186,1633],[1,2,5,
6,9,11,18,20,23,25,26,29,34,37,39,40,41,45,55,56,59,73,76,91,100,104,121,139,
147,156,176,186,202,203,209,218,232,237,246,250,264,370,371,472,481,578,580,
610,613,619,621,635,637,927,1163,1171,1183,1191,1213,1634],[1,2,3,6,7,9,11,16,
17,20,28,29,30,34,48,52,56,62,73,74,76,91,112,113,117,122,124,125,131,163,180,
232,237,245,249,264,283,286,375,378,417,418,613,633,637,650,699,1176,1183,
1184,1635],[1,2,5,6,9,16,18,20,25,26,30,34,36,41,43,45,55,56,59,76,104,106,
117,131,147,153,182,194,202,209,232,246,249,251,283,472,488,515,540,545,552,
610,613,619,658,1116,1171,1184,1186,1636],[1,2,5,6,8,11,14,19,21,25,26,33,37,
40,41,58,66,75,100,102,126,136,150,155,204,226,235,236,247,261,282,285,462,
553,615,625,647,702,1152,1170,1175,1637],[1,2,3,5,6,7,8,11,14,16,17,21,25,26,
28,30,36,37,38,40,41,47,48,49,50,54,57,58,66,74,100,101,102,105,107,113,118,
126,127,129,134,149,155,174,182,189,191,194,201,205,208,210,211,212,226,236,
248,252,285,440,444,459,467,486,517,562,587,588,594,609,614,615,623,625,629,
1056,1175,1180,1181,1194,1214,1638],[1,2,4,10,11,27,31,32,61,68,80,85,231,270,
352,360,626,698,1154,1639],[1,2,3,5,7,9,11,16,17,19,21,28,30,50,53,56,62,66,
74,75,105,107,110,113,119,127,129,159,179,225,237,245,249,261,281,284,382,431,
444,446,617,640,650,697,1151,1164,1179,1640],[1,2,3,4,9,11,13,15,16,17,22,31,
56,62,65,69,71,72,74,84,99,116,233,237,245,249,259,263,265,302,322,618,632,
642,650,674,1166,1173,1174,1641],[1,2,3,5,6,7,9,14,17,19,21,25,26,28,33,38,41,
44,47,48,49,50,53,55,56,59,60,62,75,102,105,110,118,134,136,142,150,179,181,
189,191,204,206,210,212,214,221,222,225,242,245,246,254,257,281,462,464,486,
496,501,507,598,601,608,616,617,640,644,648,1042,1164,1169,1185,1201,1219,
1642],[1,2,4,7,10,11,12,24,31,36,38,46,51,63,68,96,164,170,174,195,199,207,
223,229,231,238,262,463,530,582,586,654,668,669,1122,1150,1643],[1,2,6,7,9,16,
20,23,30,34,37,38,39,43,45,49,56,59,60,76,114,117,121,131,147,153,205,208,213,
218,232,242,249,250,283,449,465,481,503,506,514,613,635,636,660,1097,1163,
1177,1184,1644],[1,2,6,7,9,11,20,29,34,36,38,43,49,56,60,73,76,91,106,114,153,
173,174,213,232,237,242,251,264,404,443,503,545,613,636,637,664,848,1177,1183,
1186,1645],[1,4,5,6,7,10,12,14,18,23,35,40,42,43,44,46,51,52,53,63,92,95,143,
188,190,197,198,200,206,207,215,217,220,229,230,239,271,557,566,568,569,574,
579,652,659,669,1136,1147,1646],[1,2,5,6,9,14,16,19,21,25,26,30,33,36,41,44,
55,56,59,75,101,102,107,119,136,142,150,182,194,204,225,246,249,251,284,462,
484,498,505,517,534,608,616,617,658,1123,1167,1169,1179,1647],[1,2,5,7,9,11,
19,21,36,38,44,47,56,60,66,75,101,118,142,149,174,222,225,237,242,251,261,434,
440,484,507,617,644,664,970,1151,1167,1185,1648],[1,2,3,5,6,7,9,17,19,21,25,
28,33,36,37,40,44,50,53,56,59,62,75,101,105,110,126,142,150,179,201,204,211,
215,225,245,250,251,281,467,468,484,493,510,553,616,617,640,649,1113,1164,
1167,1168,1649],[1,2,5,6,7,8,11,14,21,25,26,28,30,37,40,41,44,53,57,58,66,100,
102,110,113,119,126,142,155,159,181,206,215,226,236,243,244,285,431,434,464,
468,505,519,614,615,625,666,1064,1165,1172,1175,1650],[1,2,4,5,6,9,11,13,15,
20,21,22,27,29,31,32,35,37,41,42,55,56,59,65,71,72,77,86,87,89,99,100,123,132,
137,138,141,165,168,171,175,184,187,233,237,246,250,265,332,335,377,421,422,
424,570,585,611,612,618,621,632,638,922,1173,1178,1187,1204,1205,1651],[1,2,4,
7,9,11,13,15,22,28,30,31,36,38,56,60,65,71,72,78,81,99,103,166,172,174,195,
233,237,242,251,265,294,327,345,351,383,396,618,631,632,664,904,1162,1173,
1182,1652],[1,2,7,10,11,32,36,38,63,80,145,167,174,185,196,231,270,471,535,
654,1087,1154,1653],[1,2,5,7,10,11,19,21,36,38,44,47,63,66,75,101,118,142,149,
174,222,231,240,261,434,440,484,507,654,671,970,1148,1654],[1,2,4,7,8,11,12,
24,31,36,38,46,51,57,68,96,164,170,174,195,199,207,223,226,228,262,463,530,
582,586,629,646,1122,1149,1655],[1,2,3,5,7,8,11,16,17,21,28,30,33,44,50,54,57,
58,66,74,105,107,113,127,129,142,150,214,226,244,247,248,282,434,444,493,501,
534,547,609,614,615,665,1035,1165,1170,1181,1656],[1,2,5,7,8,11,21,28,30,33,
36,38,47,53,57,58,66,101,110,113,118,119,149,150,159,174,221,226,243,247,252,
282,431,440,496,498,510,533,614,615,629,653,1089,1170,1172,1180,1657],[1,2,5,
6,7,9,16,19,21,25,30,33,37,38,40,44,47,56,59,60,75,107,118,119,126,142,150,
204,205,208,222,225,242,249,250,284,459,507,519,533,547,553,616,617,644,660,
1055,1168,1179,1185,1658],[1,2,5,7,8,11,19,21,36,38,44,47,57,58,66,75,101,118,
142,149,174,222,226,235,244,252,261,434,440,484,507,615,629,663,970,1152,1165,
1180,1659],[1,2,6,7,9,13,16,28,29,30,32,37,38,56,59,60,65,78,81,84,86,89,137,
172,208,233,242,249,250,263,327,335,394,407,410,437,618,631,638,660,965,1162,
1166,1187,1660],[1,2,3,6,9,13,17,18,29,36,37,39,62,69,86,103,156,201,233,253,
267,356,385,642,701,1155,1661],[1,2,4,7,10,12,15,22,24,31,36,38,46,51,61,63,
70,90,96,98,146,164,166,170,183,195,199,207,223,238,241,255,256,343,454,529,
560,582,586,591,634,657,668,670,1134,1192,1200,1221,1662],[1,4,5,6,7,8,12,14,
18,23,35,40,42,43,44,46,51,52,53,57,58,92,95,143,188,190,197,198,200,206,207,
215,217,220,228,236,243,244,271,557,566,568,569,574,579,627,646,666,1136,1158,
1193,1196,1663],[1,2,7,9,11,32,36,38,56,60,80,94,145,167,174,185,196,237,242,
251,266,471,535,581,589,643,664,1038,1197,1209,1218,1664],[1,4,5,6,7,10,12,23,
25,26,35,39,40,42,43,44,46,51,52,53,61,63,93,95,133,177,181,188,190,192,193,
197,198,207,215,217,220,239,241,255,256,341,564,569,571,576,579,595,639,652,
662,670,1133,1198,1202,1206,1665],[1,2,4,7,9,11,12,24,31,36,38,46,51,56,60,68,
96,164,170,174,195,199,207,223,227,237,242,251,262,463,530,582,586,624,664,
667,1122,1161,1195,1199,1666],[1,2,3,7,9,11,16,17,27,28,30,56,62,74,85,97,113,
144,151,152,154,157,158,160,178,237,245,249,268,342,344,457,490,527,538,628,
650,796,1189,1211,1212,1667],[1,4,5,6,7,9,12,14,18,23,35,40,42,43,44,46,51,52,
53,60,92,95,143,188,190,197,198,200,206,207,215,217,220,227,234,253,271,557,
566,568,569,574,579,655,661,667,1136,1157,1668],[1,2,4,7,10,11,12,24,31,36,38,
46,51,61,63,68,96,164,170,174,195,199,207,223,231,241,255,256,262,463,530,582,
586,626,654,670,1122,1159,1203,1215,1669],[1,4,5,6,7,10,12,14,18,23,35,40,42,
43,44,46,51,52,53,61,63,92,95,143,188,190,197,198,200,206,207,215,217,220,230,
241,255,256,271,557,566,568,569,574,579,630,659,670,1136,1156,1216,1217,
1670],[1,2,4,7,10,11,12,13,15,22,28,30,46,51,61,63,67,72,109,113,115,169,172,
183,207,229,241,255,256,260,391,433,474,526,641,669,670,964,1160,1207,1208,
1671],[1,2,3,13,17,64,65,69,258,259,1226,1672],[1,3,8,9,10,54,62,64,224,258,
603,605,606,607,1143,1144,1228,1673],[1,2,3,4,11,12,13,15,16,17,22,24,31,65,
67,68,69,70,71,72,74,84,90,96,98,99,116,146,259,260,262,263,265,279,291,302,
307,322,337,343,439,672,674,676,684,696,718,1229,1234,1237,1674],[1,2,3,4,5,6,
7,11,13,15,16,17,19,20,21,22,27,28,29,30,31,34,38,41,42,46,48,50,52,53,65,66,
69,71,72,73,74,75,76,77,78,79,81,83,84,85,87,91,97,99,105,107,108,109,110,111,
112,113,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,144,151,
152,154,157,158,159,160,162,163,165,170,172,178,179,180,189,197,259,261,263,
264,265,268,272,275,276,277,278,280,281,283,284,286,288,290,297,301,302,305,
306,315,318,320,322,323,324,326,327,328,329,332,333,336,340,342,344,348,358,
362,372,375,376,378,382,384,391,393,406,411,412,413,417,418,419,425,426,427,
428,429,431,435,438,441,444,446,450,451,457,458,470,475,477,478,480,483,490,
494,499,502,509,511,513,521,522,523,524,527,528,531,536,537,538,539,543,546,
549,550,551,554,555,556,674,685,686,691,695,697,699,700,704,740,745,757,759,
775,777,791,793,796,826,856,865,870,871,875,877,894,898,899,901,909,912,923,
936,947,948,949,950,959,972,1006,1007,1047,1062,1075,1086,1088,1100,1107,1111,
1120,1121,1126,1130,1233,1248,1252,1268,1270,1294,1367,1480,1537,1563,1675],[
1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,35,37,41,42,65,66,67,68,70,71,
72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,
138,141,146,148,165,168,171,175,184,187,260,262,265,273,274,276,279,280,289,
296,300,301,303,307,310,325,328,329,332,334,335,343,352,369,377,388,395,397,
403,408,411,420,421,422,424,430,439,442,570,577,584,585,672,673,676,679,681,
688,689,693,694,695,722,732,742,744,755,756,763,766,816,868,876,922,976,980,
1025,1030,1057,1229,1247,1258,1299,1300,1313,1394,1676],[1,2,3,4,6,11,13,15,
16,17,20,22,29,31,32,34,35,36,37,65,69,71,72,73,74,76,80,82,84,86,88,89,91,94,
99,103,116,137,140,148,161,164,171,201,259,263,264,265,266,273,274,287,293,
294,298,299,302,310,322,335,346,356,395,401,414,430,448,482,485,512,674,688,
690,703,723,727,743,753,769,776,817,944,961,1235,1246,1253,1267,1269,1677],[1,
2,4,5,6,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,37,39,40,41,42,
65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,93,95,96,98,99,100,
102,104,120,121,123,126,128,132,133,137,138,139,141,143,146,148,155,156,165,
168,171,175,176,177,184,187,192,203,260,265,267,269,271,273,274,276,279,280,
285,292,295,300,301,304,307,308,309,310,319,328,329,332,334,335,341,364,369,
370,377,388,389,395,398,403,408,409,411,420,421,422,424,430,439,442,487,489,
491,570,577,584,585,597,672,673,678,680,688,689,693,694,695,708,710,714,733,
747,748,751,752,774,785,795,816,822,834,868,922,931,990,1025,1057,1230,1258,
1265,1284,1296,1308,1396,1678],[1,2,4,5,6,11,12,13,14,15,18,19,20,21,22,23,25,
26,27,29,33,35,37,39,40,41,42,66,67,72,73,75,77,79,85,86,88,92,93,95,100,102,
104,111,121,126,128,132,133,136,139,141,143,150,155,156,162,165,171,175,176,
177,192,203,204,260,261,267,269,271,274,277,280,282,285,289,292,295,318,328,
338,341,363,364,369,370,377,389,413,415,426,462,487,489,491,504,508,553,597,
673,681,691,692,702,708,714,715,761,795,825,851,953,1076,1230,1232,1236,1283,
1298,1679],[1,2,3,4,11,13,15,16,17,22,27,31,32,51,65,69,71,72,74,80,84,85,94,
97,99,116,169,187,199,259,263,265,266,268,289,302,322,325,357,360,368,386,397,
403,433,674,755,783,919,962,973,1029,1243,1311,1388,1680],[1,2,3,4,5,6,7,11,
12,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,40,41,42,47,48,
49,50,66,67,69,72,73,74,77,78,79,81,84,86,88,92,93,95,100,101,102,103,104,105,
106,107,108,112,113,114,116,117,118,121,122,124,126,127,129,133,134,135,139,
141,143,149,155,156,165,166,171,173,174,175,176,177,182,189,191,192,194,201,
203,205,208,210,211,212,260,267,269,271,274,280,285,291,292,293,295,306,312,
314,315,320,322,330,331,336,340,341,345,353,354,356,359,362,364,369,370,373,
377,385,389,394,396,400,401,402,404,405,406,407,418,432,436,440,444,459,460,
467,486,487,489,491,514,517,540,542,562,565,573,587,588,592,594,596,597,673,
677,682,684,701,707,708,711,714,719,720,721,727,735,746,760,762,764,781,791,
795,810,820,830,841,854,869,872,873,914,966,968,987,994,1013,1017,1020,1051,
1056,1074,1117,1230,1286,1289,1301,1329,1349,1391,1502,1513,1681],[1,2,4,5,6,
11,12,13,15,19,20,21,22,24,27,29,31,32,41,42,66,67,68,70,71,72,73,75,77,79,80,
82,85,89,90,94,96,98,99,111,128,132,137,138,140,146,148,161,162,165,168,184,
187,261,262,266,270,273,277,279,280,287,296,299,300,303,307,316,318,321,325,
328,334,343,352,360,368,387,397,403,408,413,421,426,430,439,442,485,512,577,
585,675,676,679,683,687,691,693,698,712,722,731,732,743,744,749,750,756,766,
771,779,813,828,836,861,862,868,874,876,885,919,958,976,1001,1231,1251,1281,
1313,1315,1345,1350,1403,1468,1682],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,
31,32,35,37,41,42,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,
98,99,100,120,123,128,132,137,138,141,146,148,165,168,171,175,184,187,196,260,
265,273,274,276,279,280,300,301,307,310,328,329,332,334,335,369,377,388,395,
403,408,411,420,421,422,424,430,439,442,471,525,548,570,577,584,585,672,673,
688,689,693,694,695,809,816,835,868,905,920,922,1002,1025,1057,1104,1258,1282,
1288,1324,1683],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,35,37,
38,41,42,46,51,52,53,65,66,67,68,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,
90,95,96,98,99,100,108,109,110,113,115,119,120,123,125,128,131,132,137,138,
141,146,148,151,152,154,159,160,163,165,168,169,170,171,172,175,183,184,187,
190,197,199,207,217,223,260,265,272,273,274,276,278,279,280,290,300,301,305,
307,310,323,327,328,329,332,333,334,335,340,348,349,357,365,366,369,372,376,
377,378,386,388,391,395,399,403,408,411,420,421,422,424,428,430,431,433,435,
439,442,452,453,458,466,474,478,479,490,494,502,518,521,523,526,541,546,549,
554,559,560,569,570,577,584,585,586,672,673,686,688,689,693,694,695,704,728,
740,782,783,805,806,816,824,826,831,859,860,866,867,868,881,888,901,909,922,
935,936,952,964,978,991,1006,1007,1018,1025,1041,1046,1048,1050,1054,1057,
1079,1106,1248,1258,1260,1278,1303,1320,1358,1376,1386,1584,1587,1684],[1,2,4,
5,6,11,12,13,15,20,21,22,24,27,29,31,32,34,35,37,41,42,65,66,67,68,71,72,73,
76,77,79,80,82,83,85,86,87,88,89,90,91,94,95,96,98,99,100,120,123,128,130,132,
137,138,140,141,146,148,161,162,165,168,171,175,184,187,260,264,265,266,270,
273,274,275,276,279,280,287,289,299,300,301,303,307,310,316,318,321,325,328,
329,332,334,335,338,352,360,368,369,377,384,387,388,395,397,403,408,411,412,
420,421,422,424,430,439,442,448,482,485,512,570,577,584,585,672,673,675,685,
687,688,689,693,694,695,703,706,715,730,731,734,736,742,743,749,750,755,766,
771,776,779,813,816,817,819,828,836,857,861,862,863,868,874,876,879,919,922,
976,980,1010,1025,1057,1235,1255,1256,1258,1275,1299,1316,1336,1350,1356,1398,
1468,1519,1685],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,31,32,38,
41,42,46,48,50,51,65,66,69,71,72,73,74,77,78,79,80,81,83,84,85,87,99,105,107,
108,109,111,112,113,115,116,117,120,122,123,124,127,128,129,132,140,144,157,
158,165,169,170,172,178,187,189,190,199,259,263,265,272,276,277,278,280,288,
289,297,299,301,302,306,315,316,320,321,322,324,325,326,327,328,329,332,336,
338,340,349,357,360,362,365,366,372,386,391,397,399,403,406,411,418,433,444,
457,477,499,511,513,524,528,539,543,550,674,686,687,692,695,716,728,745,755,
757,759,777,782,783,791,793,863,899,929,930,972,973,1001,1029,1050,1111,1252,
1260,1263,1311,1322,1377,1378,1554,1686],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,
28,29,30,31,32,36,38,41,42,46,52,53,65,66,71,72,73,77,78,79,80,81,83,84,85,87,
99,103,108,109,110,111,113,115,119,120,123,125,128,131,132,140,151,152,154,
159,160,163,164,165,170,172,187,194,197,263,265,272,276,277,278,280,289,290,
291,293,294,298,299,301,305,316,321,323,325,327,328,329,332,333,337,338,340,
348,360,372,374,376,378,380,391,397,400,403,411,428,431,432,435,458,478,490,
494,502,521,523,546,549,554,686,687,690,692,695,696,704,716,740,754,755,781,
826,863,900,901,909,928,936,960,963,992,1001,1006,1007,1015,1248,1257,1263,
1295,1364,1393,1397,1558,1687],[1,2,4,5,6,11,13,15,19,20,21,22,24,27,29,30,31,
32,36,41,42,43,66,68,71,72,73,75,77,78,79,80,82,85,89,90,103,109,111,128,132,
138,140,146,153,162,164,165,168,182,188,261,272,273,277,279,280,298,299,300,
311,314,317,318,321,325,328,331,334,350,352,361,368,373,379,383,396,408,413,
421,426,443,683,687,691,693,709,712,713,717,744,749,764,803,862,880,889,902,
993,1244,1245,1251,1274,1307,1688],[1,2,4,5,6,7,11,13,15,20,21,22,24,27,28,29,
31,32,34,36,38,41,42,43,46,47,49,66,68,71,72,73,76,77,79,80,81,82,85,89,90,91,
101,103,106,111,114,115,118,120,123,130,138,145,146,149,153,162,164,165,166,
167,168,170,173,174,184,185,188,191,195,213,264,273,275,277,278,279,280,289,
296,298,300,301,312,313,318,330,334,338,339,345,351,359,360,361,379,381,384,
387,402,404,405,408,412,421,440,442,443,495,503,520,529,530,532,535,545,558,
563,572,590,685,692,693,706,713,721,730,739,741,763,786,829,848,864,885,893,
897,902,925,977,1019,1049,1053,1065,1245,1254,1264,1272,1370,1457,1523,1689],[
1,2,4,5,6,11,12,13,15,20,21,22,27,29,32,33,34,35,37,41,42,66,67,72,73,76,77,
79,80,82,83,85,86,87,88,89,91,95,100,120,123,130,137,140,141,148,150,161,162,
165,171,175,187,260,264,273,274,275,276,280,282,287,299,301,304,308,309,318,
319,321,325,363,369,377,384,387,397,398,403,409,412,415,420,422,430,448,482,
673,685,687,689,733,734,736,742,761,776,785,834,836,911,913,931,1236,1256,
1265,1362,1366,1690],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,30,31,32,34,36,41,
42,44,66,68,71,72,73,76,77,78,79,80,82,85,89,90,91,103,109,111,120,123,130,
138,142,146,162,164,165,168,182,184,198,264,272,273,275,277,279,280,289,296,
298,300,301,311,314,317,318,331,334,338,350,355,360,373,383,384,387,390,396,
408,412,421,434,442,685,692,693,706,709,717,730,763,764,786,789,885,889,942,
956,957,993,1244,1259,1264,1291,1344,1691],[1,2,4,5,6,11,12,13,15,20,21,22,24,
27,29,31,32,35,37,41,42,51,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,
90,95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,169,171,175,
184,187,199,260,265,273,274,276,279,280,300,301,307,310,328,329,332,334,335,
357,369,377,386,388,395,403,408,411,420,421,422,424,430,433,439,442,454,463,
570,577,584,585,672,673,688,689,693,694,695,783,816,868,922,939,954,984,1025,
1057,1066,1258,1262,1314,1395,1692],[1,2,4,5,6,11,13,15,16,19,20,21,22,27,29,
31,34,36,41,42,51,65,66,71,72,73,75,76,77,79,83,84,85,87,91,97,99,103,111,120,
123,128,130,132,162,164,165,169,190,194,199,261,263,264,265,268,275,276,277,
280,291,293,294,298,301,318,328,329,332,337,349,357,365,366,374,380,384,386,
399,400,411,412,413,426,432,433,450,470,685,690,691,695,696,700,728,754,775,
781,782,783,870,900,906,932,946,963,1004,1050,1233,1257,1260,1292,1326,1352,
1365,1526,1693],[1,2,4,7,11,12,13,15,16,22,24,27,28,30,31,32,36,38,46,65,67,
68,71,72,78,80,81,82,83,84,85,87,89,90,96,98,99,103,108,109,113,115,146,164,
166,170,172,174,187,195,260,263,265,272,273,276,278,279,289,291,293,294,296,
298,303,307,325,327,337,340,345,351,352,372,383,391,396,397,403,420,422,439,
529,530,672,686,689,690,696,709,719,724,732,739,755,904,928,976,992,1030,1234,
1247,1249,1327,1397,1694],[1,2,4,5,6,11,12,13,15,19,20,21,22,27,29,32,35,37,
41,42,45,66,67,72,73,75,77,79,80,82,83,85,86,87,88,89,95,100,111,128,132,141,
147,162,165,171,175,186,187,260,261,273,274,276,277,280,289,304,308,309,318,
319,328,338,369,371,377,392,398,403,409,413,420,422,423,426,455,456,673,681,
689,691,692,715,733,785,790,823,834,931,955,998,1232,1250,1265,1304,1385,
1695],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,35,37,41,42,45,65,66,67,
68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,
137,138,141,146,147,148,165,168,171,175,184,186,187,260,265,273,274,276,279,
280,300,301,307,310,328,329,332,334,335,369,371,377,388,392,395,403,408,411,
420,421,422,423,424,430,439,442,455,456,570,577,584,585,672,673,688,689,693,
694,695,790,816,868,878,922,945,998,1025,1057,1095,1250,1258,1323,1338,1696],[
1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,33,35,37,41,42,45,65,66,67,68,
71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,
138,141,146,147,148,150,165,168,171,175,184,186,187,260,265,273,274,276,279,
280,282,300,301,307,310,328,329,332,334,335,363,369,371,377,388,392,395,403,
408,411,415,420,421,422,423,424,430,439,442,455,456,570,577,584,585,672,673,
688,689,693,694,695,761,790,816,846,868,922,967,998,1025,1057,1069,1236,1250,
1258,1332,1343,1697],[1,2,4,7,11,12,13,15,22,24,28,30,31,36,38,46,51,65,67,68,
70,71,72,78,81,90,96,98,99,103,108,109,113,115,146,164,166,169,170,172,174,
183,195,199,207,223,260,262,265,272,278,279,293,294,298,307,327,340,343,345,
351,357,372,383,386,391,396,433,439,454,463,466,474,526,529,530,541,560,582,
586,591,672,676,686,690,709,719,724,739,783,859,860,904,939,964,1018,1041,
1070,1083,1122,1134,1229,1249,1262,1312,1386,1507,1570,1698],[1,2,3,4,6,11,13,
15,16,17,20,22,27,29,31,32,35,36,37,51,65,69,71,72,73,74,80,82,84,85,86,88,89,
99,103,116,130,137,140,148,164,169,171,187,199,201,259,263,265,270,273,274,
275,289,293,294,298,299,302,310,316,322,325,335,346,356,357,368,386,387,395,
397,401,403,414,430,433,674,688,690,723,727,734,753,755,769,779,783,819,821,
828,944,973,1029,1246,1255,1261,1310,1311,1699],[1,2,3,4,11,12,13,15,16,17,22,
24,27,31,32,51,65,67,68,69,71,72,74,80,82,83,84,85,87,89,90,96,98,99,116,146,
169,187,199,259,260,263,265,273,276,279,289,291,296,302,303,307,322,325,337,
352,357,386,397,403,420,422,433,439,454,463,672,674,684,689,696,718,732,755,
783,939,973,976,1029,1030,1237,1247,1262,1311,1359,1700],[1,2,4,6,7,11,13,15,
16,20,22,27,28,29,30,31,32,35,36,37,38,46,65,71,72,73,78,80,81,82,84,85,86,88,
89,99,103,108,109,113,115,130,137,140,148,164,170,171,172,187,208,263,265,270,
272,273,274,275,278,289,291,293,294,298,299,310,316,325,327,335,337,340,368,
372,387,391,394,395,397,403,407,410,430,437,686,688,690,696,734,738,755,762,
772,773,779,819,828,960,961,965,1015,1253,1255,1266,1295,1327,1701],[1,2,4,6,
7,11,13,15,16,20,22,28,29,30,31,32,34,35,37,38,46,51,65,71,72,73,76,78,80,81,
82,84,86,88,89,91,94,99,108,109,113,115,137,140,148,161,169,170,171,172,199,
208,217,263,264,265,266,272,273,274,278,287,291,299,310,327,335,337,340,357,
372,386,391,394,395,407,410,430,433,437,448,452,453,479,482,485,512,518,686,
688,696,703,738,743,762,772,773,776,783,805,817,821,831,881,965,991,1079,1081,
1235,1261,1266,1303,1382,1440,1569,1702],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,
21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,48,50,65,66,67,68,69,71,72,73,
74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,99,100,103,105,107,108,
109,112,113,115,116,117,120,122,123,124,127,128,129,132,137,138,141,144,146,
148,157,158,164,165,166,168,170,171,172,174,175,178,184,187,189,194,195,201,
208,259,260,263,265,272,273,274,276,278,279,280,288,291,293,294,297,298,300,
301,302,306,307,310,315,320,322,324,326,327,328,329,332,334,335,336,337,340,
345,346,351,356,362,369,372,374,377,380,383,388,391,394,395,396,400,401,403,
406,407,408,410,411,414,418,420,421,422,424,430,432,437,439,442,444,457,477,
499,511,513,524,528,529,530,539,543,550,562,570,577,584,585,596,672,673,674,
684,686,688,689,690,693,694,695,696,709,718,719,723,724,727,738,739,745,753,
754,757,759,762,769,772,773,777,781,791,793,802,814,816,818,854,868,873,899,
900,904,922,934,938,941,944,963,965,966,968,972,985,996,1008,1014,1023,1025,
1028,1057,1111,1237,1246,1249,1252,1257,1258,1266,1293,1329,1337,1353,1437,
1452,1456,1497,1703],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,
35,36,37,38,41,42,46,47,49,65,66,67,68,71,72,73,77,78,79,80,81,82,83,85,86,87,
88,89,90,95,96,98,99,100,101,103,106,108,109,113,114,115,118,120,123,128,132,
137,138,141,145,146,148,149,164,165,166,167,168,170,171,172,173,174,175,182,
184,185,187,191,195,205,211,260,265,272,273,274,276,278,279,280,293,294,298,
300,301,307,310,311,312,313,314,317,327,328,329,330,331,332,334,335,339,340,
345,347,350,351,353,354,359,367,369,372,373,377,381,383,385,388,391,395,396,
402,403,404,405,408,411,416,420,421,422,424,430,436,439,440,442,445,529,530,
532,535,558,563,565,570,572,577,584,585,588,590,672,673,686,688,689,690,693,
694,695,705,709,717,719,721,724,726,729,737,739,741,758,764,765,768,780,810,
816,840,843,868,872,887,889,897,903,904,908,922,925,977,979,988,993,994,997,
1005,1012,1016,1017,1019,1020,1022,1025,1026,1053,1057,1244,1249,1254,1258,
1306,1354,1361,1369,1391,1426,1496,1512,1514,1704],[1,2,4,5,6,11,12,13,14,15,
18,20,21,22,23,25,26,27,29,32,34,35,37,39,40,41,42,45,66,67,72,73,76,77,79,80,
85,86,88,91,92,93,95,100,102,104,120,121,123,126,130,133,137,139,140,141,143,
147,148,155,156,161,162,165,171,175,176,177,186,192,202,203,209,218,260,264,
267,269,271,274,275,280,285,287,292,295,299,301,318,321,325,341,364,369,370,
371,377,384,387,389,392,397,412,423,430,448,455,456,461,472,473,481,482,487,
489,491,561,578,580,593,597,673,685,687,708,714,734,736,742,776,790,795,797,
812,836,927,986,998,1033,1036,1092,1103,1132,1230,1250,1256,1330,1355,1539,
1562,1705],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,35,36,37,41,42,51,
65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,103,120,
123,128,132,137,138,141,146,148,164,165,168,169,171,175,184,187,199,260,265,
273,274,276,279,280,293,294,298,300,301,307,310,328,329,332,334,335,357,369,
377,386,388,395,403,408,411,420,421,422,424,430,433,439,442,570,577,582,584,
585,591,672,673,688,689,690,693,694,695,783,816,821,868,906,922,961,1004,1025,
1057,1070,1253,1258,1261,1312,1326,1706],[1,2,4,5,6,11,12,13,15,20,21,22,24,
27,29,31,32,35,37,41,42,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,
95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,171,175,184,187,
260,265,273,274,276,279,280,289,296,300,301,303,304,307,308,309,310,319,325,
328,329,332,334,335,352,369,377,388,395,397,398,403,408,409,411,420,421,422,
424,430,439,442,570,577,584,585,672,673,688,689,693,694,695,732,733,755,785,
794,816,834,868,922,931,976,1025,1030,1057,1239,1247,1258,1265,1707],[1,2,4,5,
6,11,12,13,15,19,20,21,22,24,27,29,31,32,34,35,37,41,42,65,66,67,68,71,72,73,
75,76,77,79,80,82,83,85,86,87,88,89,90,91,95,96,97,98,99,100,111,120,123,128,
130,132,137,138,140,141,146,148,161,162,165,168,171,175,184,187,260,261,264,
265,268,273,274,275,276,277,279,280,287,289,296,299,300,301,307,310,316,318,
321,325,328,329,332,334,335,338,352,360,368,369,377,384,387,388,395,397,403,
408,411,412,413,420,421,422,424,426,430,439,442,448,450,470,482,570,577,584,
585,672,673,681,683,685,687,688,689,691,692,693,694,695,700,706,712,715,716,
730,734,736,742,744,749,750,755,756,763,775,776,786,816,819,836,857,862,863,
868,870,874,879,885,886,922,962,980,1001,1010,1025,1030,1057,1232,1233,1251,
1256,1258,1263,1264,1275,1321,1345,1371,1394,1425,1516,1519,1708],[1,2,4,5,6,
7,11,13,15,19,20,21,22,24,27,28,29,31,32,36,38,41,42,44,46,47,49,66,68,71,72,
73,75,77,79,80,81,82,85,89,90,101,103,106,111,114,115,118,128,132,138,140,142,
145,146,149,162,164,165,166,167,168,170,173,174,185,191,195,198,222,261,273,
277,278,279,280,298,299,300,312,313,318,321,325,328,330,334,339,345,351,352,
355,359,368,381,390,402,404,405,408,413,421,426,434,440,469,484,507,529,530,
532,535,544,558,563,572,590,683,687,691,693,712,721,739,741,744,749,789,800,
862,897,925,956,970,977,982,995,1019,1053,1061,1091,1251,1254,1259,1279,1333,
1461,1566,1709],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,35,37,41,42,43,
44,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,
123,128,132,137,138,141,142,146,148,153,165,168,171,175,184,187,188,198,260,
265,273,274,276,279,280,300,301,307,310,328,329,332,334,335,355,361,369,377,
379,388,390,395,403,408,411,420,421,422,424,430,434,439,442,443,570,577,579,
583,584,585,672,673,688,689,693,694,695,713,789,816,837,868,902,922,956,1021,
1025,1057,1105,1245,1258,1259,1335,1346,1710],[1,2,4,5,6,11,12,13,15,16,20,21,
22,24,27,29,31,32,35,37,41,42,51,65,66,67,68,71,72,73,77,79,80,82,83,84,85,86,
87,88,89,90,95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,169,
171,175,184,187,199,260,263,265,273,274,276,279,280,291,300,301,307,310,328,
329,332,334,335,337,357,369,377,386,388,395,403,408,411,420,421,422,424,430,
433,439,442,454,463,570,577,584,585,672,673,688,689,693,694,695,696,783,816,
868,922,932,939,946,1025,1057,1081,1234,1258,1262,1365,1382,1711],[1,2,3,4,5,
6,7,11,13,15,16,17,20,21,22,24,27,28,29,30,31,32,34,36,38,41,42,46,48,50,51,
52,53,66,68,69,71,72,73,74,76,77,78,79,80,81,82,84,85,89,90,91,103,105,107,
108,109,110,111,112,113,115,116,117,119,120,122,123,124,125,127,129,130,131,
138,144,146,151,152,154,157,158,159,160,162,163,165,168,169,172,178,180,184,
189,190,194,195,197,223,264,273,275,277,279,280,283,286,289,291,293,296,300,
301,302,306,315,318,320,322,323,333,334,336,337,338,340,346,348,349,351,358,
360,362,375,376,378,383,384,387,391,399,400,406,408,410,412,414,417,418,421,
425,427,428,431,432,433,437,438,442,444,451,452,453,457,458,466,475,477,478,
480,483,490,494,521,522,524,531,537,539,541,543,551,555,556,685,692,693,699,
706,718,723,724,730,738,740,763,781,782,786,791,802,824,875,877,885,894,899,
901,906,928,930,935,938,946,947,948,949,959,973,985,991,1014,1015,1018,1047,
1048,1121,1264,1292,1293,1294,1376,1378,1393,1412,1451,1530,1531,1712],[1,2,4,
5,6,11,13,14,15,18,20,21,22,23,25,26,27,29,31,32,35,37,39,40,41,42,43,44,51,
65,66,71,72,73,77,79,83,85,86,87,89,92,93,99,100,102,104,120,121,123,126,128,
132,137,138,139,141,142,143,153,155,156,165,168,169,171,175,176,177,184,187,
188,190,192,198,199,203,265,269,276,280,285,292,295,301,304,308,309,328,329,
332,335,349,355,357,361,364,365,366,370,377,379,386,389,390,398,399,409,411,
421,422,424,433,434,443,489,557,564,570,571,574,585,597,680,695,713,714,728,
747,748,751,752,782,783,785,789,834,837,922,990,1021,1050,1090,1118,1260,1280,
1296,1318,1346,1363,1380,1713],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,
23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,44,48,50,51,66,69,72,73,74,77,
78,79,81,84,85,86,92,93,100,102,103,104,105,107,108,111,112,113,116,117,121,
122,124,126,127,129,139,141,142,143,149,150,155,156,165,169,171,173,175,176,
177,182,189,190,192,198,201,203,205,214,269,277,280,282,285,289,292,295,306,
314,315,320,322,331,336,338,340,349,354,355,356,359,362,363,364,370,373,377,
389,390,394,396,399,406,415,418,432,433,434,436,444,489,493,501,504,508,534,
547,557,571,592,594,597,677,692,707,714,746,760,761,764,782,789,791,820,851,
872,907,924,930,966,973,1013,1035,1059,1118,1283,1289,1344,1363,1368,1378,
1381,1714],[1,2,4,5,6,11,13,15,18,20,21,22,23,25,26,27,29,31,32,34,35,37,39,
40,41,42,45,65,71,72,73,76,77,80,82,86,87,88,89,91,94,99,100,104,121,123,126,
132,133,137,138,139,140,141,143,147,148,155,156,161,165,168,171,175,176,177,
184,186,187,192,202,203,209,218,264,265,266,267,273,274,287,292,295,299,304,
309,310,319,332,335,370,371,377,395,398,409,421,422,424,430,448,455,456,472,
481,482,485,487,491,512,561,570,578,580,585,593,597,678,688,703,708,710,733,
743,747,752,774,776,817,822,878,922,927,931,945,998,1033,1034,1036,1040,1103,
1132,1235,1284,1338,1400,1420,1466,1510,1562,1565,1715],[1,2,4,6,7,11,12,13,
15,16,20,22,24,27,28,29,30,31,32,35,37,38,46,51,65,67,68,71,72,73,78,80,81,82,
84,85,86,88,89,90,96,98,99,108,109,113,115,120,123,137,146,148,168,169,170,
171,172,183,184,187,199,207,208,223,260,263,265,272,273,274,278,279,289,291,
300,301,303,307,310,325,327,335,337,340,352,357,372,386,391,394,395,397,403,
407,410,430,433,437,439,442,466,474,526,541,560,570,584,586,672,686,688,696,
738,742,755,762,766,772,773,783,816,859,860,876,928,964,965,976,980,992,1018,
1041,1081,1234,1266,1299,1359,1382,1386,1397,1716],[1,2,4,5,6,7,11,13,14,15,
16,18,20,21,22,23,25,26,28,29,30,32,35,36,37,38,39,40,41,42,44,45,46,47,49,52,
53,66,72,73,77,79,80,81,84,86,92,93,100,101,102,103,104,106,109,110,112,113,
114,115,118,119,121,125,126,127,131,139,140,141,142,143,147,149,155,156,159,
163,165,166,171,172,173,174,175,176,177,181,186,191,192,194,197,198,203,206,
208,211,215,216,269,280,285,291,292,293,295,299,312,314,315,321,323,325,330,
333,345,348,353,355,359,364,370,371,376,377,378,385,389,390,391,392,400,401,
402,404,405,407,423,428,431,432,434,440,464,468,489,492,497,505,506,515,519,
561,566,573,576,587,593,597,687,707,714,721,740,781,789,790,839,841,845,847,
853,873,914,916,917,960,987,989,992,1017,1024,1036,1064,1091,1102,1279,1287,
1301,1339,1342,1355,1364,1717],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,
35,37,41,42,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,94,96,97,98,
99,111,120,123,128,130,132,137,138,140,146,148,161,162,165,168,171,184,187,
260,265,266,268,270,273,274,275,276,277,279,280,287,289,296,299,300,301,303,
307,310,316,318,321,325,328,329,332,334,335,338,352,360,368,387,395,397,403,
411,420,422,430,439,442,450,470,485,512,570,577,584,585,672,681,687,688,689,
692,695,698,712,715,716,730,731,732,734,736,742,743,744,749,755,756,763,766,
771,775,779,786,813,816,819,828,836,857,861,862,863,868,874,876,879,885,886,
919,958,962,976,980,1001,1010,1030,1243,1247,1255,1263,1275,1281,1299,1321,
1336,1392,1394,1398,1403,1425,1468,1516,1518,1536,1718],[1,2,4,5,6,11,13,15,
16,20,21,22,27,29,31,32,35,36,37,41,42,51,65,66,71,72,73,77,79,80,82,83,84,85,
86,87,88,89,99,103,120,123,128,132,137,148,161,162,164,165,169,171,187,194,
199,263,265,273,274,276,280,287,289,291,293,294,298,301,310,318,321,325,328,
329,332,335,337,338,357,360,368,374,380,386,387,395,397,400,403,411,430,432,
433,688,690,695,696,715,730,736,749,754,755,781,783,836,874,879,900,906,961,
963,1004,1010,1081,1253,1257,1275,1310,1326,1327,1382,1719],[1,2,4,5,6,11,13,
15,18,20,21,22,23,25,26,27,29,31,32,35,37,39,40,41,42,51,65,71,72,73,77,80,82,
86,87,88,89,99,100,104,121,123,126,132,133,137,138,139,141,143,148,155,156,
165,168,169,171,175,176,177,184,187,192,196,199,203,265,267,273,274,292,295,
304,309,310,319,332,335,357,370,377,386,395,398,409,421,422,424,430,433,471,
487,491,525,548,570,585,597,678,688,708,710,733,747,752,774,783,809,821,822,
920,922,931,1002,1261,1282,1284,1533,1567,1720],[1,2,4,5,6,11,12,13,15,16,20,
21,22,24,27,29,31,32,36,41,42,51,65,66,67,68,71,72,73,77,79,80,83,84,85,87,90,
96,98,99,103,120,123,128,132,137,138,146,148,164,165,169,184,187,194,199,260,
263,265,276,279,280,289,291,293,294,296,298,301,307,325,328,329,332,334,337,
352,357,374,380,386,397,400,403,411,430,432,433,439,442,577,582,585,591,672,
681,690,695,696,742,744,754,755,756,763,781,783,868,900,932,946,963,980,1030,
1070,1234,1257,1312,1327,1359,1365,1394,1721],[1,2,4,5,6,7,11,13,14,15,16,18,
19,20,21,22,23,25,26,27,28,29,33,35,36,37,38,39,40,41,42,44,47,49,51,66,72,73,
75,77,79,81,84,85,86,92,93,100,101,102,103,104,106,111,112,114,118,121,126,
127,128,132,136,139,141,142,143,149,150,155,156,162,165,166,169,171,173,174,
175,176,177,190,191,192,194,198,203,204,208,211,222,261,269,277,280,282,285,
291,292,293,295,312,314,315,318,328,330,345,349,353,355,359,363,364,370,377,
385,389,390,399,400,401,402,404,405,407,413,415,426,432,433,434,440,462,469,
484,489,504,507,508,544,553,557,571,573,587,597,691,702,707,714,721,761,781,
782,789,800,825,841,851,873,914,932,953,970,982,987,995,1004,1017,1061,1076,
1077,1118,1271,1298,1301,1333,1352,1363,1384,1722],[1,2,4,5,6,7,11,12,13,15,
20,21,22,24,27,28,29,31,32,36,38,41,42,46,47,49,51,66,67,68,70,71,72,73,77,79,
80,81,82,85,89,90,96,98,99,101,103,106,114,115,118,128,132,137,138,145,146,
148,149,164,165,166,167,168,169,170,173,174,183,184,185,187,191,195,199,207,
223,262,273,278,279,280,296,298,300,303,307,312,313,325,328,330,334,339,343,
345,351,352,357,359,381,397,402,403,404,405,408,421,430,439,440,442,454,463,
526,529,530,532,535,541,558,560,563,572,577,582,585,586,590,591,676,679,693,
721,722,732,739,741,744,756,766,860,868,876,897,925,939,954,976,977,984,1019,
1053,1070,1083,1114,1122,1124,1134,1254,1313,1395,1483,1488,1495,1560,1570,
1571,1723],[1,2,4,5,6,11,13,14,15,18,19,20,21,22,23,25,26,27,29,31,32,33,34,
35,37,39,40,41,42,45,65,66,71,72,73,75,76,77,79,83,85,86,87,89,91,92,93,97,99,
100,102,104,111,120,121,123,126,128,130,132,136,137,138,139,141,143,147,150,
155,156,162,165,168,171,175,176,177,184,186,187,192,202,203,204,209,218,261,
264,265,268,269,275,276,277,280,282,285,292,295,301,304,308,309,318,328,329,
332,335,363,364,370,371,377,384,389,392,398,409,411,412,413,415,421,422,423,
424,426,450,461,462,470,472,473,481,489,504,508,553,570,578,580,585,597,680,
685,691,695,700,702,714,747,748,751,752,761,775,785,790,797,812,823,825,834,
846,851,870,911,913,922,927,953,955,967,986,990,1076,1092,1233,1296,1298,1330,
1332,1362,1385,1402,1428,1450,1492,1724],[1,2,4,5,6,11,13,14,15,18,20,21,22,
23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,66,68,71,72,73,76,77,79,80,
82,85,86,87,89,90,91,92,93,100,102,104,111,120,121,123,126,128,130,138,139,
141,143,146,147,148,150,155,156,162,165,168,171,175,176,177,184,186,187,192,
202,203,209,218,264,269,273,275,277,279,280,282,285,289,292,295,296,300,301,
304,308,310,318,319,329,334,338,360,363,364,370,371,377,384,387,389,392,398,
408,409,412,415,421,422,423,424,442,461,472,473,481,489,504,508,577,578,580,
584,597,685,692,693,706,714,730,751,761,763,774,785,786,790,797,812,822,851,
885,911,913,927,931,986,990,1025,1069,1092,1264,1283,1304,1308,1330,1343,1362,
1725],[1,2,4,6,7,11,12,13,15,20,22,24,27,28,29,30,31,32,35,37,38,46,51,65,67,
68,71,72,73,78,80,81,82,85,86,88,89,90,96,98,99,108,109,113,115,120,123,137,
146,148,168,169,170,171,172,183,184,187,199,207,217,223,260,265,272,273,274,
278,279,289,300,301,303,307,310,325,327,335,340,352,357,372,386,391,395,397,
403,430,433,439,442,452,453,454,463,466,474,479,518,526,541,560,570,584,586,
672,686,688,742,755,766,783,805,816,821,831,859,860,876,881,929,930,939,964,
976,980,991,1018,1041,1079,1261,1262,1299,1303,1377,1386,1388,1726],[1,2,4,5,
6,11,13,15,16,20,21,22,27,29,31,32,36,41,42,51,65,66,71,72,73,77,79,80,83,84,
85,87,99,103,111,120,123,128,132,140,164,165,169,187,199,263,265,276,277,280,
289,291,293,294,298,299,301,316,321,325,328,329,332,337,338,357,360,386,397,
403,411,433,687,690,692,695,696,716,755,783,863,906,932,946,1001,1004,1263,
1310,1326,1327,1359,1365,1388,1727],[1,2,4,5,6,11,13,15,16,20,21,22,27,29,31,
32,35,37,41,42,51,65,66,71,72,73,77,79,80,82,83,84,85,86,87,88,89,99,120,123,
128,132,137,148,161,162,165,169,171,187,190,199,263,265,273,274,276,280,287,
289,291,301,310,318,321,325,328,329,332,335,337,338,349,357,360,365,366,368,
386,387,395,397,399,403,411,430,433,688,695,696,715,728,730,736,749,755,782,
783,821,836,874,879,932,946,1010,1050,1081,1260,1261,1275,1359,1365,1382,1388,
1728],[1,2,4,5,6,11,13,15,19,20,21,22,24,27,29,31,32,41,42,51,66,68,71,72,73,
75,77,79,80,82,85,89,90,111,128,132,138,140,146,162,165,168,169,196,199,261,
273,277,279,280,299,300,318,321,325,328,334,352,357,368,408,413,421,426,454,
463,471,525,548,683,687,691,693,712,744,749,835,862,905,939,954,984,1002,1251,
1324,1395,1429,1455,1729],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,24,
25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,66,68,69,71,72,
73,74,77,78,79,80,81,82,84,86,87,89,90,92,93,100,101,102,103,104,105,106,107,
108,112,113,114,115,116,117,118,120,121,122,124,126,127,128,129,134,135,138,
139,141,143,145,146,148,149,155,156,157,164,165,166,167,168,170,171,173,174,
175,176,177,178,182,184,185,187,189,191,192,194,195,201,203,205,208,210,211,
212,269,273,278,279,280,285,291,292,293,295,297,298,300,302,304,306,308,310,
312,313,314,315,317,319,320,322,326,329,330,334,336,337,339,340,345,346,347,
350,351,353,356,359,362,364,370,373,374,377,380,381,383,385,389,398,400,401,
402,404,405,406,407,408,409,410,414,416,418,421,422,424,432,436,437,440,444,
445,459,460,467,486,489,514,517,528,529,530,532,535,539,540,542,558,562,563,
565,572,573,577,584,587,588,590,592,594,596,597,682,693,707,711,714,718,720,
721,723,724,725,735,738,739,741,751,759,765,767,770,773,774,780,781,785,787,
791,792,801,802,807,808,818,820,822,832,841,844,850,854,873,887,889,890,895,
896,897,908,914,925,926,931,937,938,941,943,944,951,963,969,977,985,987,988,
990,994,996,997,999,1009,1014,1017,1019,1022,1025,1026,1028,1051,1053,1056,
1074,1117,1254,1286,1290,1293,1301,1302,1308,1331,1351,1404,1442,1444,1452,
1454,1470,1509,1514,1522,1552,1730],[1,2,4,5,6,11,12,13,15,20,21,22,27,29,32,
34,35,37,41,42,45,66,67,72,73,76,77,79,80,82,83,85,86,87,88,89,91,95,100,120,
123,130,137,140,141,147,148,161,162,165,171,175,186,187,260,264,273,274,275,
276,280,287,299,301,304,308,309,318,319,321,325,369,371,377,384,387,392,397,
398,403,409,412,420,422,423,430,448,455,456,482,673,685,687,689,733,734,736,
742,776,785,790,834,836,931,998,1034,1040,1250,1256,1265,1466,1541,1731],[1,2,
3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,33,35,36,37,38,
39,40,41,42,43,47,48,49,50,51,66,69,72,73,74,77,78,79,81,84,85,86,92,93,100,
101,102,103,104,105,106,107,108,111,112,113,114,116,117,118,121,122,124,126,
127,129,134,135,139,141,143,149,150,153,155,156,165,166,169,171,173,174,175,
176,177,182,188,189,190,191,192,194,201,203,205,208,210,211,212,269,277,280,
282,285,289,292,295,306,312,315,320,322,330,336,338,340,345,349,353,356,359,
361,362,363,364,370,373,377,379,389,399,400,402,404,405,406,407,415,418,433,
436,440,443,444,459,460,467,486,489,504,508,514,517,540,542,562,564,565,573,
574,587,588,592,594,596,597,682,692,711,713,714,720,721,735,761,782,791,820,
841,851,854,883,921,930,973,994,1049,1051,1056,1074,1077,1090,1117,1271,1272,
1280,1283,1286,1378,1390,1732],[1,2,3,4,5,6,7,11,13,15,16,17,18,20,21,22,23,
25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,48,50,65,69,71,72,73,74,77,78,
80,81,82,84,86,87,88,89,99,100,101,103,104,105,106,116,121,122,123,124,126,
129,132,133,137,138,139,141,143,144,145,148,149,155,156,164,165,166,167,168,
171,172,173,174,175,176,177,178,182,184,185,187,189,192,194,195,201,203,205,
208,211,259,263,265,267,273,274,292,293,294,295,297,298,302,304,309,310,311,
312,313,314,317,319,320,322,324,327,332,335,336,339,345,346,347,350,351,353,
354,356,359,367,370,373,374,377,380,381,383,385,394,395,396,398,400,401,407,
409,410,414,421,422,424,430,432,436,437,445,467,487,491,499,524,532,535,542,
562,563,570,585,590,592,594,596,597,674,678,688,690,701,705,708,710,717,723,
725,726,727,729,733,735,741,747,752,753,758,760,769,774,777,780,787,799,801,
804,807,808,810,814,820,822,830,843,844,850,854,858,869,889,892,895,896,900,
903,904,908,914,922,925,931,937,941,944,965,966,969,979,981,985,987,988,996,
997,999,1003,1009,1012,1014,1017,1020,1023,1031,1242,1246,1277,1284,1306,1317,
1319,1387,1426,1437,1441,1442,1443,1444,1465,1484,1502,1503,1522,1733],[1,2,4,
5,6,7,11,12,13,15,20,21,22,27,28,29,30,32,34,35,36,37,38,41,42,43,44,47,49,66,
67,72,73,76,77,78,79,80,81,85,86,88,91,95,100,101,103,106,108,113,114,118,120,
123,130,137,140,141,142,148,149,153,161,162,165,166,171,173,174,175,182,188,
191,198,205,211,213,260,264,274,275,280,287,293,299,301,312,314,318,321,325,
330,331,340,345,353,354,355,359,361,369,373,377,379,384,385,387,390,396,397,
402,404,405,412,430,434,436,440,443,448,482,495,503,520,545,565,579,583,588,
673,685,687,713,719,721,734,736,742,764,776,789,810,829,836,848,864,872,893,
942,957,994,1017,1020,1065,1091,1105,1256,1279,1291,1307,1335,1370,1391,
1734],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,34,35,
36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,66,69,72,73,74,76,77,78,79,81,
84,85,86,91,92,93,100,101,102,103,104,105,106,107,108,109,110,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,129,130,131,134,135,139,141,
143,144,147,149,151,152,153,154,155,156,157,158,159,160,162,163,165,166,171,
172,173,174,175,176,177,178,180,182,186,188,189,191,192,193,194,197,200,201,
202,203,205,208,209,210,211,212,213,216,218,219,220,264,269,275,280,283,285,
286,292,295,301,306,312,315,318,320,322,323,330,333,336,340,345,348,353,356,
358,359,361,362,364,370,371,373,375,376,377,378,379,384,389,391,392,400,402,
404,405,406,407,412,417,418,423,425,427,428,431,436,438,440,443,444,447,449,
451,457,458,459,460,461,465,467,472,473,475,476,477,478,480,481,483,486,488,
489,490,492,494,495,497,500,503,506,514,515,516,517,520,521,522,524,531,537,
539,540,542,543,545,551,552,555,556,562,565,568,573,578,580,587,588,592,594,
595,596,597,599,600,682,685,699,711,713,714,720,721,735,740,790,791,797,798,
812,820,829,833,838,839,841,842,845,848,853,854,864,875,877,882,893,894,899,
901,927,947,948,949,959,986,989,994,1027,1037,1047,1051,1052,1056,1058,1063,
1065,1068,1074,1084,1085,1092,1093,1094,1097,1098,1099,1102,1109,1112,1116,
1117,1119,1121,1125,1128,1129,1286,1294,1330,1339,1340,1360,1370,1401,1422,
1459,1494,1573,1578,1579,1582,1735],[1,2,4,5,6,11,13,14,15,16,18,20,21,22,23,
25,26,27,29,30,34,35,36,37,39,40,41,42,44,45,51,66,72,73,76,77,78,79,84,85,86,
91,92,93,100,101,102,103,104,106,107,117,120,121,123,126,130,139,141,142,143,
147,155,156,162,165,169,171,175,176,177,182,186,190,192,194,198,202,203,209,
218,264,269,275,280,285,291,292,293,295,301,306,312,314,318,331,349,354,355,
364,370,371,373,377,384,385,389,390,392,394,396,399,400,401,412,423,432,433,
434,461,472,473,481,489,517,540,557,571,578,580,597,685,714,720,764,781,782,
789,790,797,810,812,869,906,914,927,942,946,957,968,986,1013,1092,1118,1291,
1292,1330,1341,1342,1349,1363,1736],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,31,
32,41,42,44,51,66,68,71,72,73,77,79,80,82,85,89,90,94,137,138,140,142,146,148,
161,162,165,168,169,184,198,199,266,270,273,279,280,287,299,300,303,316,318,
321,334,352,355,357,368,387,390,397,408,421,430,434,442,454,463,485,512,675,
693,731,743,750,771,779,789,813,836,862,876,939,954,956,984,1259,1350,1395,
1477,1501,1737],[1,2,4,5,6,11,13,14,15,18,20,21,22,23,25,26,27,29,31,32,33,35,
37,39,40,41,42,45,65,66,71,72,73,77,79,80,83,85,86,87,89,92,93,99,100,102,104,
111,120,121,123,126,128,132,137,138,139,140,141,143,147,150,155,156,165,168,
171,175,176,177,184,186,187,192,203,265,269,276,277,280,282,285,289,292,295,
299,301,304,308,309,316,321,325,328,329,332,335,338,360,363,364,370,371,377,
389,392,397,398,403,409,411,415,421,422,423,424,489,504,508,561,570,585,593,
597,680,687,692,695,714,716,747,748,751,752,755,761,785,790,834,846,851,863,
922,967,990,1001,1036,1263,1283,1296,1304,1332,1355,1366,1738],[1,2,4,5,6,7,
11,13,15,16,20,21,22,27,28,29,30,31,32,35,37,38,41,42,46,51,52,53,65,66,71,72,
73,77,78,79,80,81,82,83,84,85,86,87,88,89,99,108,109,110,113,115,119,120,123,
125,128,131,132,137,148,151,152,154,159,160,161,162,163,165,169,170,171,172,
187,197,199,208,217,263,265,272,273,274,276,278,280,287,289,290,291,301,305,
310,318,321,323,325,327,328,329,332,333,335,337,338,340,348,357,360,368,372,
376,378,386,387,391,394,395,397,403,407,410,411,428,430,431,433,435,437,452,
453,458,478,479,490,494,502,518,521,523,546,549,554,686,688,695,696,704,715,
730,736,738,740,749,755,762,772,773,783,805,826,831,836,874,879,881,901,909,
928,929,930,932,936,946,965,991,992,1006,1007,1010,1079,1248,1266,1275,1303,
1365,1377,1397,1412,1419,1460,1564,1739],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,
22,27,28,29,30,32,33,34,36,38,41,42,43,46,47,48,49,50,52,53,66,69,72,73,74,76,
77,78,79,81,84,85,87,89,91,101,103,105,106,107,108,109,110,112,113,114,115,
116,117,118,119,120,122,123,124,125,127,129,130,131,144,149,150,151,152,153,
154,157,158,159,160,162,163,165,166,167,172,173,174,178,180,187,188,189,191,
197,213,221,264,275,280,282,283,286,297,301,304,306,308,312,315,318,320,322,
323,330,333,336,339,340,345,348,350,358,359,361,362,363,375,376,378,379,380,
384,391,402,404,405,406,409,412,414,415,416,417,418,422,425,427,428,431,437,
438,440,443,444,445,451,457,458,475,477,478,480,483,490,494,495,496,498,503,
510,520,521,522,524,531,533,537,539,543,545,551,555,556,685,699,713,721,725,
740,761,767,770,785,791,792,827,829,848,849,855,864,875,877,883,884,893,894,
899,901,911,913,918,921,943,947,948,949,959,983,996,999,1026,1047,1065,1089,
1121,1294,1331,1362,1370,1374,1389,1390,1418,1471,1474,1548,1740],[1,2,4,5,6,
7,11,13,14,15,16,18,20,21,22,23,25,26,27,28,29,34,35,36,37,38,39,40,41,42,43,
45,47,49,51,66,72,73,76,77,79,81,84,85,86,91,92,93,100,101,102,103,104,106,
112,114,118,120,121,123,126,127,130,139,141,143,147,149,153,155,156,162,165,
166,169,171,173,174,175,176,177,186,188,190,191,192,194,202,203,208,209,211,
213,218,264,269,275,280,285,291,292,293,295,301,312,314,315,318,330,345,349,
353,359,361,364,370,371,377,379,384,385,389,392,399,400,401,402,404,405,407,
412,423,432,433,440,443,461,472,473,481,489,495,503,520,545,564,573,574,578,
580,587,597,685,707,713,714,721,781,782,790,797,812,829,841,848,864,873,893,
906,914,927,946,986,987,1017,1032,1065,1090,1092,1280,1292,1301,1330,1348,
1370,1375,1741],[1,2,4,5,6,7,11,13,14,15,18,20,21,22,23,24,25,26,27,28,29,30,
31,32,35,37,39,40,41,42,44,46,51,52,53,66,68,71,72,73,77,79,80,82,86,87,89,90,
92,93,100,102,104,109,110,113,115,119,120,121,125,126,128,131,138,139,141,142,
143,146,148,155,156,159,163,165,168,169,171,172,175,176,177,181,184,187,190,
192,197,198,203,206,215,223,269,273,279,280,285,292,295,300,304,308,310,319,
323,329,333,334,348,349,355,364,370,376,377,378,389,390,391,398,399,408,409,
421,422,424,428,431,433,434,452,453,464,466,468,489,505,519,541,557,566,571,
576,577,584,597,693,714,740,751,774,782,785,789,822,824,847,910,916,917,931,
935,956,990,991,1011,1018,1024,1025,1048,1064,1118,1259,1287,1308,1357,1363,
1376,1380,1742],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,24,28,29,30,31,32,33,
36,38,41,42,43,45,48,50,66,68,69,71,72,73,74,77,78,79,80,81,82,84,89,90,103,
105,107,108,112,113,116,117,122,124,127,129,138,146,147,150,153,165,168,186,
188,189,194,195,219,273,279,280,282,291,293,300,302,306,315,320,322,334,336,
337,340,346,351,361,362,363,371,379,383,392,400,406,408,410,414,415,418,421,
423,432,437,443,444,447,465,476,552,693,713,718,723,724,738,761,781,790,791,
802,842,882,883,902,921,938,985,1014,1058,1069,1094,1245,1293,1325,1340,1343,
1375,1390,1743],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,36,38,
41,42,43,45,47,48,49,50,51,66,69,72,73,74,77,78,79,81,84,85,87,89,101,103,105,
106,107,108,111,112,113,114,116,117,118,122,124,127,129,147,149,153,165,166,
167,169,173,174,178,186,187,188,189,190,191,219,277,280,289,297,304,306,308,
312,315,320,322,330,336,338,339,340,345,349,350,359,361,362,371,379,380,392,
399,402,404,405,406,409,414,416,418,422,423,433,437,440,443,444,445,447,465,
476,552,692,713,721,725,767,770,782,785,790,791,792,842,882,930,943,973,996,
999,1026,1032,1049,1058,1094,1272,1304,1318,1331,1340,1348,1378,1744],[1,2,3,
4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,31,33,38,41,42,43,44,45,46,48,50,
65,66,69,71,72,73,74,77,78,79,81,83,84,85,87,99,105,107,108,109,112,113,115,
116,117,120,122,123,124,127,128,129,132,142,144,147,150,153,157,158,165,170,
172,178,186,188,189,198,214,219,259,263,265,272,276,278,280,282,288,297,301,
302,306,315,320,322,324,326,327,328,329,332,336,340,355,361,362,363,371,372,
379,390,391,392,406,411,415,418,423,434,443,444,447,457,465,476,477,493,499,
501,511,513,524,528,534,539,543,547,550,552,674,686,695,713,745,757,759,761,
777,789,790,791,793,837,842,846,852,882,883,899,907,921,924,967,971,972,1021,
1035,1058,1059,1094,1111,1252,1332,1340,1346,1368,1372,1390,1534,1550,1555,
1561,1745],[1,2,4,6,7,11,13,15,20,22,28,29,30,31,32,35,36,37,38,45,65,71,72,
73,78,80,81,82,86,88,89,99,103,137,145,147,148,164,166,167,171,172,174,185,
186,195,205,211,265,273,274,293,294,298,310,311,313,317,327,335,339,345,350,
351,353,354,371,381,383,385,395,396,430,436,455,456,532,535,688,690,705,717,
729,741,758,780,843,878,904,945,961,997,998,1020,1253,1306,1338,1447,1464,
1746],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,24,28,29,30,31,32,33,36,38,41,42,
44,45,48,50,66,68,69,71,72,73,74,77,78,79,80,81,82,84,89,90,103,105,107,108,
112,113,116,117,122,124,127,129,138,142,146,147,150,165,168,186,189,194,195,
198,214,273,279,280,282,291,293,300,302,306,315,320,322,334,336,337,340,346,
351,355,362,363,371,383,390,392,400,406,408,410,414,415,418,421,423,432,434,
437,444,493,501,534,547,693,718,723,724,738,761,781,789,790,791,802,852,907,
924,938,956,971,985,1014,1035,1059,1069,1259,1293,1342,1343,1368,1372,1384,
1747],[1,2,4,5,6,7,11,13,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,35,
36,37,38,39,40,41,42,47,49,65,66,71,72,73,77,78,79,81,83,84,85,86,87,89,92,93,
99,100,101,102,103,104,106,107,112,114,117,118,120,121,123,126,127,128,132,
137,138,139,141,143,145,149,155,156,157,158,164,165,166,168,171,172,173,174,
175,176,177,182,184,185,187,191,192,194,195,203,208,211,263,265,269,276,280,
285,288,291,292,293,294,295,298,301,304,306,308,309,312,313,314,315,317,326,
327,328,329,330,331,332,335,337,345,346,347,350,351,353,354,359,364,367,370,
373,374,377,380,381,383,385,389,394,396,398,400,401,402,404,405,407,409,410,
411,416,421,422,424,432,437,440,445,477,489,517,540,550,563,570,573,585,587,
590,597,680,690,695,696,707,714,720,721,726,737,747,748,751,752,753,754,757,
758,764,765,768,770,781,785,788,802,804,807,808,810,811,815,818,832,834,841,
843,844,869,873,887,889,890,900,903,904,908,914,922,925,934,937,938,943,951,
963,965,968,969,975,979,987,988,990,1000,1003,1008,1009,1012,1013,1016,1017,
1028,1031,1257,1290,1296,1301,1347,1349,1369,1383,1387,1404,1410,1426,1436,
1465,1469,1472,1497,1498,1552,1748],[1,2,4,5,6,7,11,13,14,15,16,18,20,21,22,
23,25,26,27,28,29,30,33,35,36,37,39,40,41,42,44,46,52,53,66,72,73,77,78,79,84,
85,86,92,93,100,101,102,103,104,106,107,109,110,111,113,115,117,119,121,125,
126,131,139,141,142,143,150,155,156,159,163,165,171,172,175,176,177,181,182,
192,194,197,198,203,206,215,269,277,280,282,285,289,291,292,293,295,306,312,
314,323,331,333,338,348,354,355,363,364,370,373,376,377,378,385,389,390,391,
394,396,400,401,415,428,431,432,434,464,468,489,504,505,508,517,519,540,566,
576,597,692,714,720,740,761,764,781,789,810,847,851,869,914,915,916,917,928,
940,968,1013,1015,1024,1064,1276,1283,1287,1344,1349,1384,1393,1749],[1,2,4,5,
6,11,13,14,15,16,18,19,20,21,22,23,25,26,27,29,30,33,35,36,37,39,40,41,42,43,
51,66,72,73,75,77,78,79,84,85,86,92,93,100,101,102,103,104,106,107,111,117,
121,126,128,132,136,139,141,143,150,153,155,156,162,165,169,171,175,176,177,
182,188,190,192,194,203,204,261,269,277,280,282,285,291,292,293,295,306,312,
314,318,328,331,349,354,361,363,364,370,373,377,379,385,389,394,396,399,400,
401,413,415,426,432,433,443,462,489,504,508,517,540,553,564,574,597,691,702,
713,714,720,761,764,781,782,803,810,825,851,869,880,914,932,953,968,1004,1013,
1076,1090,1274,1280,1298,1325,1349,1352,1381,1750],[1,2,4,5,6,7,11,13,14,15,
18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,37,39,40,41,42,43,46,51,52,53,66,
68,71,72,73,77,79,80,82,86,87,89,90,92,93,100,102,104,109,110,113,115,119,120,
121,125,126,128,131,138,139,141,143,146,148,153,155,156,159,163,165,168,169,
171,172,175,176,177,184,187,188,190,192,193,197,200,203,220,223,269,273,279,
280,285,292,295,300,304,308,310,319,323,329,333,334,348,349,361,364,370,376,
377,378,379,389,391,398,399,408,409,421,422,424,428,431,433,443,449,452,453,
466,488,489,500,516,541,564,568,574,577,584,595,597,693,713,714,740,751,774,
782,785,798,822,824,833,838,884,902,918,931,935,990,991,1018,1025,1027,1048,
1068,1090,1245,1280,1308,1318,1360,1376,1389,1751],[1,2,4,5,6,7,11,13,14,15,
18,20,21,22,23,25,26,27,28,29,30,31,32,35,37,38,39,40,41,42,43,44,46,52,53,65,
66,71,72,73,77,78,79,81,83,85,86,87,89,92,93,99,100,102,104,108,109,110,113,
115,119,120,121,123,125,126,128,131,132,137,138,139,141,142,143,151,152,153,
154,155,156,159,160,163,165,168,170,171,172,175,176,177,181,184,187,188,192,
193,197,198,200,203,206,215,220,265,269,272,276,278,280,285,290,292,295,301,
304,305,308,309,323,327,328,329,332,333,335,340,348,355,361,364,370,372,376,
377,378,379,389,390,391,398,409,411,421,422,424,428,431,434,435,443,449,458,
464,468,478,488,489,490,494,500,502,505,516,519,521,523,546,549,554,566,568,
570,576,585,595,597,680,686,695,704,713,714,740,747,748,751,752,785,789,798,
826,833,834,837,838,847,884,901,909,910,916,917,918,922,936,990,1006,1007,
1011,1021,1024,1027,1064,1068,1248,1287,1296,1346,1357,1360,1389,1409,1431,
1493,1527,1752],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,27,28,
29,30,34,35,36,37,38,39,40,41,42,44,45,46,48,50,52,53,66,69,72,73,74,76,77,78,
79,81,84,85,86,91,92,93,100,102,103,104,105,107,108,109,110,112,113,115,116,
117,119,120,121,122,123,124,125,126,127,129,130,131,139,141,142,143,144,147,
149,151,152,154,155,156,157,158,159,160,162,163,165,171,172,173,175,176,177,
178,180,181,182,186,189,192,197,198,201,202,203,205,206,209,215,218,264,269,
275,280,283,285,286,292,295,301,306,314,315,318,320,322,323,331,333,336,340,
348,354,355,356,358,359,362,364,370,371,373,375,376,377,378,384,389,390,391,
392,394,396,406,412,417,418,423,425,427,428,431,432,434,436,438,444,451,457,
458,461,464,468,472,473,475,477,478,480,481,483,489,490,494,505,519,521,522,
524,531,537,539,543,551,555,556,566,576,578,580,592,594,597,677,685,699,707,
714,740,746,760,764,789,790,791,797,812,820,847,852,872,875,877,891,894,899,
901,916,917,927,942,947,948,949,957,959,966,971,974,986,1013,1024,1047,1064,
1092,1121,1287,1289,1291,1294,1330,1372,1379,1407,1421,1446,1499,1753],[1,2,4,
5,6,11,13,15,18,20,21,22,23,25,26,27,29,31,32,35,37,39,40,41,42,45,65,71,72,
73,77,80,82,85,86,87,88,89,99,100,104,121,123,126,130,132,133,137,138,139,140,
141,143,147,148,155,156,165,168,171,175,176,177,184,186,187,192,203,265,267,
270,273,274,275,289,292,295,299,304,309,310,316,319,325,332,335,368,370,371,
377,387,395,397,398,403,409,421,422,424,430,455,456,461,473,487,491,561,570,
585,593,597,678,688,708,710,733,734,747,752,755,774,779,797,819,822,828,878,
922,931,945,998,1036,1255,1284,1338,1539,1541,1754],[1,2,4,5,6,7,11,13,15,16,
18,20,21,22,23,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,49,65,71,
72,73,77,78,80,81,82,84,86,87,88,89,99,100,103,104,107,108,109,112,113,114,
115,117,118,121,123,126,127,132,133,137,138,139,141,143,145,148,149,155,156,
157,158,165,166,167,168,170,171,172,173,174,175,176,177,182,184,185,187,191,
192,194,195,203,205,208,211,263,265,267,272,273,274,278,288,291,292,294,295,
304,306,309,310,311,313,315,317,319,326,327,330,331,332,335,337,339,340,345,
346,350,351,353,354,359,367,370,372,373,374,377,380,381,383,385,391,394,395,
396,398,400,401,407,409,410,416,421,422,424,430,432,436,437,445,459,477,487,
491,514,532,535,550,558,565,570,572,573,585,587,588,597,678,686,688,696,705,
708,710,711,717,729,733,738,741,746,747,752,753,757,758,762,767,768,772,773,
774,780,784,801,802,804,808,811,815,818,822,830,840,841,843,869,872,873,890,
892,896,900,904,922,926,931,933,934,937,938,943,951,965,968,969,975,977,987,
993,994,997,1003,1005,1008,1009,1012,1013,1020,1022,1026,1028,1266,1273,1277,
1284,1285,1297,1306,1351,1373,1438,1465,1470,1476,1496,1497,1498,1509,1513,
1547,1755],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,41,42,44,66,67,68,
70,71,72,73,77,79,80,82,85,89,90,96,98,99,128,132,137,138,142,146,148,165,168,
184,187,196,198,262,273,279,280,296,300,303,307,325,328,334,343,352,355,390,
397,403,408,421,430,434,439,442,471,525,548,577,585,676,679,693,722,732,744,
756,766,789,835,868,876,905,956,976,1002,1259,1313,1324,1399,1553,1756],[1,2,
3,4,6,11,13,15,16,17,20,22,29,31,32,35,36,37,45,65,69,71,72,73,74,80,82,84,86,
88,89,99,103,116,137,147,148,164,171,186,196,201,259,263,265,273,274,293,294,
298,302,310,322,335,346,356,371,395,401,414,430,455,456,471,525,548,674,688,
690,723,727,753,769,809,878,920,944,945,998,1002,1246,1282,1338,1448,1475,
1757],[1,2,4,5,6,7,11,12,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,39,40,
41,42,43,44,46,51,52,53,66,67,72,73,77,79,86,88,92,93,95,100,102,104,109,110,
113,115,119,121,125,126,131,133,139,141,142,143,153,155,156,159,163,165,169,
171,172,175,176,177,181,183,188,190,192,193,197,198,200,203,206,207,215,217,
220,260,267,269,271,274,280,285,292,295,323,333,341,348,349,355,361,364,369,
370,376,377,378,379,389,390,391,399,428,431,433,434,443,449,464,468,474,479,
487,488,489,491,500,505,516,518,519,526,557,559,564,566,568,569,571,574,576,
579,583,595,597,673,708,713,714,740,782,789,795,798,831,833,838,847,866,867,
916,917,964,1024,1027,1046,1064,1068,1090,1105,1118,1131,1133,1135,1136,1230,
1280,1287,1320,1335,1360,1363,1574,1580,1758],[1,2,4,5,6,7,11,13,15,20,21,22,
24,28,29,30,31,32,33,36,41,42,45,46,51,52,53,66,68,71,72,73,77,78,79,80,82,89,
90,103,109,110,113,115,119,125,131,138,146,147,150,159,163,164,165,168,169,
172,182,186,190,197,223,272,273,279,280,282,298,300,311,314,317,323,331,333,
334,348,349,350,363,371,373,376,378,383,391,392,396,399,408,415,421,423,428,
431,433,452,453,466,541,693,709,717,740,761,764,782,790,824,889,891,915,935,
940,974,991,993,1018,1048,1069,1244,1276,1341,1343,1376,1379,1381,1759],[1,2,
3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,36,38,41,42,44,45,48,50,51,
66,69,72,73,74,77,78,79,81,84,85,87,89,103,105,107,108,111,112,113,116,117,
122,124,127,129,142,144,147,165,169,182,185,186,187,189,190,198,277,280,289,
304,306,308,311,314,315,320,322,324,331,336,338,340,349,355,362,367,371,373,
374,381,390,392,396,399,406,409,410,414,416,418,422,423,433,434,444,692,764,
778,782,784,785,787,788,789,790,791,852,890,930,971,973,981,1005,1023,1304,
1309,1341,1344,1372,1378,1380,1760],[1,2,4,5,6,7,11,13,15,20,21,22,24,27,28,
29,31,32,36,38,41,42,46,47,49,66,68,71,72,73,77,79,80,81,82,85,89,90,94,101,
103,106,114,115,118,137,138,140,145,146,148,149,161,162,164,165,166,167,168,
170,173,174,184,185,191,195,196,266,270,273,278,279,280,287,298,299,300,303,
312,313,316,318,321,330,334,339,345,351,352,359,368,381,387,397,402,404,405,
408,421,430,440,442,471,485,512,525,529,530,532,535,548,558,563,567,572,575,
581,589,590,675,693,721,731,739,741,743,750,771,779,813,835,836,862,876,897,
905,925,977,1002,1019,1038,1039,1045,1053,1067,1073,1087,1137,1254,1324,1350,
1417,1482,1508,1515,1551,1559,1761],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,
22,23,25,26,28,29,30,32,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,66,69,72,
73,74,77,78,79,80,81,84,86,92,93,100,101,102,103,104,105,106,107,108,112,113,
114,116,117,118,121,122,124,126,127,129,134,135,139,140,141,142,143,147,149,
155,156,165,166,169,171,173,174,175,176,177,182,186,189,190,191,192,194,198,
201,203,205,208,210,211,212,269,280,285,292,295,299,306,312,315,320,321,322,
325,330,336,340,345,349,353,355,356,359,362,364,370,371,373,377,389,390,392,
399,400,402,404,405,406,407,418,423,433,434,436,440,444,459,460,467,486,489,
514,517,540,542,557,561,562,565,571,573,587,588,592,593,594,596,597,682,687,
711,714,720,721,735,782,789,790,791,820,841,852,854,929,971,994,1029,1032,
1036,1051,1056,1074,1091,1117,1118,1279,1286,1322,1348,1355,1363,1372,1762],[
1,2,4,5,6,11,13,15,18,20,21,22,23,25,26,27,29,31,32,35,36,37,39,40,41,42,65,
71,72,73,77,80,82,86,87,88,89,99,100,103,104,121,123,126,132,133,137,138,139,
141,143,148,155,156,164,165,168,171,175,176,177,184,187,192,196,203,265,267,
273,274,292,293,294,295,298,304,309,310,319,332,335,370,377,395,398,409,421,
422,424,430,471,487,491,525,548,570,585,597,678,688,690,708,710,733,747,752,
774,809,822,920,922,931,961,1002,1253,1282,1284,1489,1504,1763],[1,2,4,5,6,7,
11,13,15,16,20,21,22,27,28,29,30,32,36,41,42,44,45,46,52,53,66,72,73,77,78,79,
84,85,87,89,103,109,110,111,113,115,119,125,131,142,145,147,158,159,163,165,
172,182,186,187,194,197,198,277,280,288,289,291,293,304,308,313,314,323,331,
333,338,346,347,348,350,355,367,371,373,376,378,380,390,391,392,396,400,409,
410,422,423,428,431,432,434,692,740,764,781,785,789,790,807,891,903,910,928,
969,974,975,1000,1008,1011,1015,1304,1342,1344,1357,1379,1383,1393,1764],[1,2,
4,5,6,11,13,15,16,20,21,22,27,29,31,33,36,41,42,43,44,45,65,66,71,72,73,77,79,
83,84,85,87,99,103,120,123,128,132,142,147,150,153,164,165,186,188,194,198,
263,265,276,280,282,291,293,294,298,301,328,329,332,337,355,361,363,371,374,
379,380,390,392,400,411,415,423,432,434,443,690,695,696,713,754,761,781,789,
790,837,846,900,963,967,1021,1257,1325,1332,1342,1346,1375,1384,1765],[1,2,3,
4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,32,35,36,37,38,39,40,
41,42,43,45,48,50,51,66,69,72,73,74,77,78,79,80,81,84,86,92,93,100,102,103,
104,105,107,108,112,113,116,117,121,122,124,126,127,129,139,140,141,143,147,
149,153,155,156,165,169,171,173,175,176,177,182,186,188,189,190,192,201,203,
205,219,269,280,285,292,295,299,306,314,315,320,321,322,325,331,336,340,349,
354,356,359,361,362,364,370,371,373,377,379,389,392,394,396,399,406,418,423,
432,433,436,443,444,447,465,476,489,552,561,564,574,592,593,594,597,677,687,
707,713,714,746,760,764,782,790,791,820,842,872,882,929,966,1013,1029,1036,
1058,1090,1094,1280,1289,1307,1322,1340,1341,1355,1766],[1,2,3,4,5,6,7,11,12,
13,15,16,17,19,20,21,22,27,28,29,30,35,36,37,38,41,42,46,48,50,51,52,53,66,67,
69,72,73,74,75,77,78,79,81,84,85,86,88,95,100,103,105,107,108,109,110,111,112,
113,115,116,117,119,122,124,125,127,128,129,131,132,141,144,151,152,154,157,
158,159,160,162,163,165,166,169,171,172,174,175,178,179,183,189,190,194,197,
201,207,208,217,260,261,274,277,280,281,284,289,291,293,306,315,318,320,322,
323,328,333,336,338,340,345,348,349,356,362,369,376,377,378,382,391,393,394,
396,399,400,401,406,407,413,418,419,426,428,429,431,432,433,441,444,446,451,
457,474,475,479,480,483,490,499,502,509,511,518,522,526,528,531,536,546,549,
550,551,554,555,559,562,569,596,673,681,684,691,692,697,715,719,727,740,762,
781,782,791,831,854,856,865,866,867,871,873,898,912,923,928,930,932,950,964,
966,968,972,973,1004,1007,1015,1046,1047,1107,1232,1320,1329,1352,1367,1378,
1393,1460,1462,1490,1517,1767],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,
32,33,36,41,42,43,46,52,53,66,72,73,77,78,79,80,84,87,89,103,109,110,113,115,
119,125,131,140,145,150,153,158,159,163,165,172,182,187,188,194,197,280,282,
288,291,293,299,304,308,313,314,321,323,325,331,333,346,347,348,350,361,363,
367,373,376,378,379,380,391,396,400,409,410,415,422,428,431,432,443,687,713,
740,761,764,781,785,807,884,903,915,918,940,960,969,975,992,1000,1008,1276,
1307,1325,1364,1366,1383,1389,1768],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,
28,29,30,33,35,36,37,38,41,42,43,44,48,50,66,67,69,72,73,74,77,78,79,81,84,86,
88,95,100,103,105,107,108,112,113,116,117,122,124,127,129,141,142,150,153,165,
166,171,174,175,188,189,194,198,201,208,214,260,274,280,282,291,293,306,315,
320,322,336,340,345,355,356,361,362,363,369,377,379,390,394,396,400,401,406,
407,415,418,432,434,443,444,493,501,534,547,562,579,583,596,673,684,713,719,
727,761,762,781,789,791,854,873,883,907,921,924,966,968,1035,1059,1105,1236,
1325,1329,1335,1368,1384,1390,1769],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,
31,32,41,42,43,66,67,68,70,71,72,73,77,79,80,82,85,89,90,96,98,99,128,132,137,
138,146,148,153,165,168,184,187,188,196,262,273,279,280,296,300,303,307,325,
328,334,343,352,361,379,397,403,408,421,430,439,442,443,471,525,548,577,585,
676,679,693,713,722,732,744,756,766,835,868,876,902,905,976,1002,1245,1313,
1324,1524,1529,1770],[1,2,4,6,7,11,13,15,20,22,28,29,30,31,32,34,35,36,37,38,
65,71,72,73,76,78,80,81,82,86,88,89,91,94,99,103,137,140,145,148,161,166,167,
171,172,174,185,195,196,205,211,264,265,266,273,274,287,294,299,310,311,313,
317,327,335,339,345,350,351,353,354,381,383,385,395,396,430,436,448,471,482,
485,512,525,532,535,548,567,575,581,589,688,703,705,717,729,741,743,758,776,
780,809,817,843,904,920,997,1002,1020,1038,1039,1045,1067,1082,1110,1137,1235,
1282,1306,1439,1463,1467,1481,1485,1508,1771],[1,2,3,4,5,6,7,11,13,14,15,16,
17,18,20,21,22,23,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,
50,65,66,69,71,72,73,74,77,78,79,81,83,84,85,86,87,89,92,93,99,100,101,102,
103,104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,122,123,124,
126,127,128,129,132,134,135,137,138,139,141,143,144,149,155,156,157,158,165,
166,167,168,170,171,172,173,174,175,176,177,178,182,184,185,187,189,191,192,
194,195,201,203,205,208,210,211,212,259,263,265,269,272,276,278,280,285,288,
292,294,295,297,301,302,304,306,308,309,311,312,314,315,320,322,324,326,327,
328,329,330,331,332,335,336,339,340,345,347,350,351,353,354,356,359,362,364,
367,370,372,373,374,377,380,381,383,389,391,394,396,398,400,402,404,405,406,
407,409,410,411,414,416,418,421,422,424,432,436,437,440,444,445,457,459,460,
467,477,486,489,499,511,513,514,517,524,528,539,540,542,543,550,558,562,565,
570,572,573,585,587,588,592,594,596,597,674,677,680,682,686,695,705,707,711,
714,720,721,725,726,735,737,745,746,747,748,751,752,757,759,760,764,765,767,
768,769,770,777,778,784,785,787,788,791,792,793,799,811,814,815,820,832,834,
840,841,843,854,858,872,887,890,895,899,900,904,922,926,933,941,943,951,965,
966,972,975,977,981,985,990,993,994,996,999,1000,1005,1012,1013,1014,1016,
1022,1023,1026,1051,1056,1074,1111,1117,1238,1252,1273,1286,1289,1296,1302,
1305,1309,1317,1319,1328,1331,1334,1347,1369,1414,1437,1453,1454,1491,1496,
1498,1772],[1,2,4,5,6,11,13,15,16,20,21,22,27,29,30,32,33,34,36,41,42,44,51,
66,72,73,76,77,78,79,84,85,87,89,91,103,120,123,130,142,145,150,158,162,165,
169,182,187,190,194,198,264,275,280,282,288,291,293,301,304,308,313,314,318,
331,346,347,349,350,355,363,367,373,380,384,390,396,399,400,409,410,412,415,
422,432,433,434,685,761,764,781,782,785,789,807,903,906,911,913,942,946,957,
969,975,1000,1008,1291,1292,1362,1380,1381,1383,1384,1773],[1,2,3,4,6,11,12,
13,15,16,17,20,22,24,27,29,31,32,35,36,37,51,65,67,68,69,71,72,73,74,80,82,84,
85,86,88,89,90,96,98,99,103,116,120,123,137,146,148,164,168,169,171,184,187,
199,201,259,260,263,265,273,274,279,289,291,293,294,298,300,301,302,303,307,
310,322,325,335,337,346,352,356,357,386,395,397,401,403,414,430,433,439,442,
570,582,584,591,672,674,684,688,690,696,718,723,727,742,753,755,766,769,783,
816,876,944,973,976,980,1029,1070,1081,1237,1246,1299,1311,1312,1327,1382,
1774],[1,2,4,6,7,11,13,15,20,22,28,29,30,31,32,35,36,37,38,45,51,65,71,72,73,
78,80,81,82,86,88,89,99,103,137,145,147,148,166,167,169,171,172,174,185,186,
195,199,205,211,265,273,274,294,310,311,313,317,327,335,339,345,350,351,353,
354,357,371,381,383,385,386,395,396,430,433,436,455,456,532,535,688,705,717,
729,741,758,780,783,821,843,878,904,945,997,998,1020,1261,1306,1338,1487,1525,
1775],[1,2,4,5,6,7,11,13,14,15,16,18,20,21,22,23,25,26,28,29,30,32,35,36,37,
39,40,41,42,43,45,46,52,53,66,72,73,77,78,79,80,84,86,92,93,100,101,102,103,
104,106,107,109,110,113,115,117,119,121,125,126,131,139,140,141,143,147,153,
155,156,159,163,165,171,172,175,176,177,182,186,188,192,193,194,197,200,203,
220,269,280,285,291,292,293,295,299,306,312,314,321,323,325,331,333,348,354,
361,364,370,371,373,376,377,378,379,385,389,391,392,394,396,400,401,423,428,
431,432,443,449,488,489,500,516,517,540,561,568,593,595,597,687,713,714,720,
740,764,781,790,798,810,833,838,869,891,914,960,968,974,992,1013,1027,1036,
1068,1307,1349,1355,1360,1364,1375,1379,1776],[1,2,4,5,6,7,11,12,13,15,20,21,
22,27,28,29,30,32,35,37,41,42,43,44,46,51,52,53,66,67,72,73,77,79,80,82,83,85,
86,87,88,89,95,100,109,110,113,115,119,125,131,141,142,153,159,163,165,169,
171,172,175,183,187,188,190,197,198,207,217,260,273,274,276,280,304,308,309,
319,323,333,348,349,355,361,369,376,377,378,379,390,391,398,399,403,409,420,
422,428,431,433,434,443,474,479,518,526,559,569,579,583,673,689,713,733,740,
782,785,789,831,834,866,867,884,910,918,931,964,1011,1046,1105,1265,1318,1320,
1335,1357,1380,1389,1777],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,27,28,29,
30,32,34,35,36,37,38,41,42,46,48,50,51,52,53,66,67,69,72,73,74,76,77,78,79,80,
81,84,85,86,88,91,95,100,103,105,107,108,109,110,112,113,115,116,117,119,120,
122,123,124,125,127,129,130,131,137,140,141,144,148,151,152,154,157,158,159,
160,161,162,163,165,166,169,171,172,174,175,178,180,183,189,190,194,197,201,
207,208,217,260,264,274,275,280,283,286,287,291,293,299,301,306,315,318,320,
321,322,323,325,333,336,340,345,348,349,356,358,362,369,375,376,377,378,384,
387,391,394,396,397,399,400,401,406,407,412,417,418,425,427,428,430,431,432,
433,438,444,448,451,457,458,474,475,477,478,479,480,482,483,490,494,518,521,
522,524,526,531,537,539,543,551,555,556,559,562,569,596,673,684,685,687,699,
719,727,734,736,740,742,762,776,781,782,791,831,836,854,866,867,873,875,877,
894,899,901,906,929,946,947,948,949,959,960,964,966,968,992,1029,1046,1047,
1121,1256,1292,1294,1320,1322,1329,1364,1415,1416,1419,1434,1778],[1,2,4,5,6,
7,11,12,13,15,20,21,22,28,29,30,33,35,36,37,38,41,42,46,47,49,51,52,53,66,67,
72,73,77,78,79,81,86,88,95,100,101,103,106,108,109,110,113,114,115,118,119,
125,131,141,149,150,159,163,165,166,169,171,172,173,174,175,182,183,190,191,
197,205,207,211,217,221,260,274,280,282,293,312,314,323,330,331,333,340,345,
348,349,353,354,359,363,369,373,376,377,378,385,391,396,399,402,404,405,415,
428,431,433,436,440,474,479,496,498,510,518,526,533,559,565,569,588,673,719,
721,740,761,764,782,810,827,831,849,855,866,867,872,915,940,964,983,994,1017,
1020,1046,1077,1089,1236,1271,1276,1320,1374,1381,1391,1779],[1,2,4,5,6,7,11,
13,14,15,16,18,20,21,22,23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,43,46,
47,49,52,53,66,72,73,77,79,81,84,85,86,92,93,100,101,102,103,104,106,109,110,
111,112,113,114,115,118,119,121,125,126,127,131,139,141,143,149,150,153,155,
156,159,163,165,166,171,172,173,174,175,176,177,188,191,192,193,194,197,200,
203,208,211,220,221,269,277,280,282,285,289,291,292,293,295,312,314,315,323,
330,333,338,345,348,353,359,361,363,364,370,376,377,378,379,385,389,391,400,
401,402,404,405,407,415,428,431,432,440,443,449,488,489,496,498,500,504,508,
510,516,533,568,573,587,595,597,692,707,713,714,721,740,761,781,798,827,833,
838,841,849,851,855,873,914,928,983,987,1015,1017,1027,1049,1068,1089,1272,
1283,1301,1325,1360,1374,1393,1780],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,
21,22,23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,43,46,48,50,52,53,66,69,
72,73,74,75,77,78,79,81,84,85,86,92,93,100,102,103,104,105,107,108,109,110,
111,112,113,115,116,117,119,121,122,124,125,126,127,128,129,131,132,136,139,
141,143,144,149,150,151,152,153,154,155,156,157,158,159,160,162,163,165,171,
172,173,175,176,177,178,179,182,188,189,192,193,197,200,201,203,204,205,220,
261,269,277,280,281,282,284,285,292,295,306,314,315,318,320,322,323,328,331,
333,336,340,348,354,356,359,361,362,363,364,370,373,376,377,378,379,382,389,
391,393,394,396,406,413,415,418,419,426,428,429,431,432,436,441,443,444,446,
449,451,457,462,475,480,483,488,489,490,499,500,502,504,508,509,511,516,522,
528,531,536,546,549,550,551,553,554,555,568,592,594,595,597,677,691,697,702,
707,713,714,740,746,760,761,764,791,798,803,820,825,833,838,851,856,865,871,
872,880,883,898,912,915,921,923,940,950,953,966,972,1007,1013,1027,1047,1068,
1076,1107,1274,1276,1289,1298,1360,1367,1390,1406,1408,1413,1430,1781],[1,2,3,
4,5,6,7,11,13,15,16,17,19,20,21,22,27,28,29,30,32,36,38,41,42,44,45,46,47,48,
49,50,52,53,66,69,72,73,74,75,77,78,79,81,84,85,87,89,101,103,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,122,124,125,127,128,129,131,132,
142,144,147,149,151,152,154,157,158,159,160,162,163,165,166,167,172,173,174,
178,179,186,187,189,191,197,198,216,222,261,277,280,281,284,297,304,306,308,
312,315,318,320,322,323,328,330,333,336,339,340,345,348,350,355,359,362,371,
376,378,380,382,390,391,392,393,402,404,405,406,409,413,414,416,418,419,422,
423,426,428,429,431,434,437,440,441,444,445,446,451,457,469,475,480,483,484,
490,492,497,499,502,506,507,509,511,515,522,528,531,536,544,546,549,550,551,
554,555,691,697,721,725,740,767,770,785,789,790,791,792,800,823,839,845,852,
853,856,865,871,898,910,912,923,943,950,955,970,971,972,982,989,995,996,999,
1007,1011,1026,1047,1061,1102,1107,1331,1333,1339,1357,1367,1372,1385,1449,
1505,1506,1543,1782],[1,2,4,5,6,7,11,12,13,15,19,20,21,22,27,28,29,30,35,36,
37,38,41,42,43,44,47,49,66,67,72,73,75,77,78,79,81,85,86,88,95,100,101,103,
106,108,111,113,114,118,128,132,141,142,149,153,162,165,166,171,173,174,175,
182,188,191,198,205,211,222,260,261,274,277,280,289,293,312,314,318,328,330,
331,338,340,345,353,354,355,359,361,369,373,377,379,385,390,396,402,404,405,
413,426,434,436,440,443,469,484,507,544,565,579,583,588,673,681,691,692,713,
715,719,721,764,789,800,803,810,872,880,970,982,994,995,1017,1020,1049,1061,
1105,1232,1272,1274,1333,1335,1344,1391,1783],[1,2,3,4,5,6,7,11,12,13,15,16,
17,20,21,22,24,27,28,29,30,31,32,38,41,42,46,48,50,51,65,66,67,68,69,71,72,73,
74,77,78,79,80,81,83,84,85,87,90,96,98,99,105,107,108,109,112,113,115,116,117,
120,122,123,124,127,128,129,132,137,138,144,146,148,157,158,165,169,170,172,
178,183,184,187,189,199,207,223,259,260,263,265,272,276,278,279,280,288,289,
291,296,297,301,302,306,307,315,320,322,324,325,326,327,328,329,332,334,336,
337,340,352,357,362,372,386,391,397,403,406,411,418,430,433,439,442,444,457,
466,474,477,499,511,513,524,526,528,539,541,543,550,560,577,585,586,672,674,
681,684,686,695,696,718,742,744,745,755,756,757,759,763,777,783,791,793,859,
860,868,899,928,932,946,964,972,973,980,992,1018,1029,1030,1041,1111,1237,
1252,1311,1365,1386,1394,1397,1415,1517,1530,1545,1784],[1,2,4,6,7,11,13,15,
16,20,22,27,28,29,30,31,32,35,37,38,46,51,65,71,72,73,78,80,81,82,84,85,86,88,
89,99,108,109,113,115,130,137,140,148,169,170,171,172,187,199,217,263,265,270,
272,273,274,275,278,289,291,299,310,316,325,327,335,337,340,357,368,372,386,
387,391,395,397,403,430,433,452,453,479,518,686,688,696,734,755,779,783,805,
819,828,831,881,928,929,930,991,992,1079,1081,1255,1303,1359,1377,1382,1388,
1397,1785],[1,2,3,4,5,6,7,11,13,15,16,17,19,20,21,22,27,28,29,30,32,36,38,41,
42,43,45,46,48,50,52,53,66,69,72,73,74,75,77,78,79,81,84,85,87,89,103,105,107,
108,109,110,111,112,113,115,116,117,119,122,124,125,127,128,129,131,132,144,
147,151,152,153,154,157,158,159,160,162,163,165,172,178,179,182,185,186,187,
188,189,197,219,261,277,280,281,284,304,306,308,311,314,315,318,320,322,323,
324,328,331,333,336,340,348,361,362,367,371,373,374,376,378,379,381,382,391,
392,393,396,406,409,410,413,414,416,418,419,422,423,426,428,429,431,441,443,
444,446,447,451,457,465,475,476,480,483,490,499,502,509,511,522,528,531,536,
546,549,550,551,552,554,555,691,697,713,740,764,778,784,785,787,788,790,791,
803,823,842,856,865,871,880,882,884,890,891,898,912,918,923,950,955,972,974,
981,1005,1007,1023,1047,1058,1094,1107,1274,1309,1340,1367,1379,1385,1389,
1528,1535,1540,1568,1786],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,24,
25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,48,50,66,68,69,71,72,73,74,77,
78,79,80,81,82,84,86,87,89,90,92,93,100,101,102,103,104,105,106,107,108,109,
112,113,116,117,120,121,122,124,126,127,128,129,138,139,141,143,144,145,146,
148,149,155,156,158,164,165,168,171,173,175,176,177,182,184,185,187,189,192,
194,195,201,203,205,269,272,273,279,280,285,288,291,292,293,295,298,300,302,
304,306,308,310,311,312,313,314,315,317,319,320,322,324,329,331,334,336,337,
340,346,347,350,351,354,356,359,362,364,367,370,373,374,377,380,381,383,385,
389,394,396,398,400,401,406,408,409,410,414,416,418,421,422,424,432,436,437,
444,489,511,517,540,543,563,577,584,590,592,594,597,677,693,707,709,714,717,
718,720,723,724,725,729,737,738,746,751,760,764,772,774,778,781,784,785,787,
788,791,793,802,804,807,810,814,820,822,840,844,850,858,869,872,887,889,890,
892,896,903,914,925,931,933,934,937,938,943,944,963,966,968,969,975,979,981,
985,990,993,997,1000,1003,1005,1008,1013,1014,1023,1025,1244,1289,1293,1305,
1308,1309,1349,1373,1383,1404,1410,1414,1441,1443,1444,1456,1476,1512,1547,
1787],[1,2,4,5,6,7,11,13,15,20,21,22,27,28,29,30,31,33,36,38,41,42,45,47,49,
51,65,66,71,72,73,77,78,79,81,83,85,87,99,101,103,106,114,118,120,123,128,132,
147,149,150,165,166,169,172,173,174,182,186,190,191,195,199,265,276,280,282,
294,301,312,314,327,328,329,330,331,332,345,347,349,351,357,359,363,365,366,
367,371,373,383,386,392,396,399,402,404,405,411,415,416,423,433,440,445,695,
721,726,728,737,761,764,765,768,782,783,790,846,887,904,967,1012,1016,1032,
1050,1077,1260,1271,1332,1341,1348,1369,1381,1788],[1,2,4,6,7,11,13,15,20,22,
27,28,29,30,31,32,35,36,37,38,65,71,72,73,78,80,81,82,85,86,88,89,99,103,130,
137,140,145,148,166,167,171,172,174,185,187,195,196,205,211,265,270,273,274,
275,289,294,299,310,311,313,316,317,325,327,335,339,345,350,351,353,354,368,
381,383,385,387,395,396,397,403,430,436,471,525,532,535,548,688,705,717,729,
734,741,755,758,779,780,809,819,828,843,904,920,997,1002,1020,1073,1087,1255,
1282,1306,1482,1520,1789],[1,2,4,7,11,13,15,16,22,27,28,30,31,32,36,38,46,51,
65,71,72,78,80,81,84,85,94,97,99,103,108,109,113,115,164,169,170,172,187,199,
263,265,266,268,272,278,289,291,293,294,298,325,327,337,340,357,360,368,372,
386,391,397,403,433,686,690,696,755,783,919,928,929,930,960,962,992,1015,1243,
1295,1310,1327,1359,1377,1397,1790],[1,2,4,5,6,7,11,12,13,15,20,21,22,28,29,
30,35,36,37,38,41,42,45,46,47,49,51,52,53,66,67,72,73,77,78,79,81,86,88,95,
100,101,103,106,108,109,110,113,114,115,118,119,125,131,141,147,149,159,163,
165,166,169,171,172,173,174,175,182,183,186,190,191,197,205,207,211,216,217,
260,274,280,293,312,314,323,330,331,333,340,345,348,349,353,354,359,369,371,
373,376,377,378,385,391,392,396,399,402,404,405,423,428,431,433,436,440,455,
456,474,479,492,497,506,515,518,526,559,565,569,588,673,719,721,740,764,782,
790,810,831,839,845,853,866,867,872,891,964,974,989,994,998,1017,1020,1032,
1046,1102,1250,1320,1339,1341,1348,1379,1391,1791],[1,2,4,5,6,11,13,14,15,18,
19,20,21,22,23,24,25,26,27,29,31,32,33,35,37,39,40,41,42,45,66,68,71,72,73,75,
77,79,80,82,85,86,87,89,90,92,93,100,102,104,111,120,121,126,128,132,136,138,
139,140,141,143,146,147,148,150,155,156,162,165,168,171,175,176,177,184,186,
187,192,203,204,261,269,273,277,279,280,282,285,292,295,299,300,304,308,310,
318,319,321,325,328,329,334,352,363,364,368,370,371,377,389,392,398,408,409,
413,415,421,422,423,424,426,462,489,504,508,553,561,577,584,593,597,683,687,
691,693,702,712,714,744,749,751,761,774,785,790,822,823,825,851,862,931,953,
955,990,1025,1036,1069,1076,1251,1298,1308,1343,1355,1366,1385,1792],[1,2,4,5,
6,7,11,13,15,16,19,20,21,22,27,28,29,32,36,38,41,42,44,45,47,49,51,66,72,73,
75,77,79,81,84,85,87,89,101,103,106,111,114,118,128,132,142,147,149,157,162,
165,166,169,173,174,185,186,187,190,191,194,198,222,261,277,280,291,293,304,
308,312,317,318,326,328,330,345,346,347,349,355,359,371,374,381,390,392,399,
400,402,404,405,409,413,422,423,426,432,433,434,437,440,445,469,484,507,544,
691,721,781,782,785,789,790,800,823,832,844,932,937,951,955,970,982,988,995,
1004,1028,1032,1061,1290,1333,1342,1348,1352,1380,1385,1793],[1,2,4,5,6,11,12,
13,15,20,21,22,24,27,29,30,31,32,36,41,42,51,66,67,68,70,71,72,73,77,78,79,80,
82,85,89,90,96,98,99,103,109,128,132,137,138,146,148,164,165,168,169,182,184,
187,199,262,272,273,279,280,296,298,300,303,307,311,314,317,325,328,331,334,
343,350,352,357,373,383,396,397,403,408,421,430,439,442,454,463,466,474,577,
582,585,591,676,679,693,709,717,722,732,744,756,764,766,859,868,876,889,939,
954,976,984,993,1070,1244,1313,1395,1411,1507,1794],[1,2,4,6,7,11,12,13,15,20,
22,24,27,28,29,30,31,32,35,36,37,38,46,51,65,67,68,71,72,73,78,80,81,82,85,86,
88,89,90,96,98,99,103,108,109,113,115,120,123,137,146,148,164,166,168,169,170,
171,172,174,184,187,195,199,217,260,265,272,273,274,278,279,289,293,294,298,
300,301,303,307,310,325,327,335,340,345,351,352,357,372,383,386,391,395,396,
397,403,430,433,439,442,452,453,479,518,529,530,570,582,584,591,672,686,688,
690,709,719,724,739,742,755,766,783,805,816,831,876,881,904,960,961,976,980,
991,1015,1070,1079,1249,1253,1295,1299,1303,1310,1312,1795],[1,2,4,7,11,12,13,
15,22,24,27,28,30,31,32,36,38,46,51,65,67,68,71,72,78,80,81,82,83,85,87,89,90,
96,98,99,103,108,109,113,115,146,164,166,169,170,172,174,187,195,199,260,265,
272,273,276,278,279,289,293,294,296,298,303,307,325,327,340,345,351,352,357,
372,383,386,391,396,397,403,420,422,433,439,454,463,529,530,672,686,689,690,
709,719,724,732,739,755,783,904,939,976,1030,1114,1124,1247,1249,1262,1411,
1495,1796],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,32,33,36,38,41,42,44,
46,47,49,52,53,66,72,73,77,79,80,81,84,87,89,101,103,106,109,110,113,114,115,
118,119,125,131,140,142,149,150,157,159,163,165,166,172,173,174,185,187,191,
194,197,198,221,280,282,291,293,299,304,308,312,317,321,323,325,326,330,333,
345,346,347,348,355,359,363,374,376,378,381,390,391,400,402,404,405,409,415,
422,428,431,432,434,437,440,445,496,498,510,533,687,721,740,761,781,785,789,
827,832,844,849,855,910,937,951,960,983,988,992,1011,1028,1089,1091,1279,1290,
1357,1364,1366,1374,1384,1797],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,
29,30,31,32,35,36,37,38,41,42,46,48,50,51,65,66,69,71,72,73,74,77,78,79,80,81,
82,83,84,85,86,87,88,89,99,103,105,107,108,109,112,113,115,116,117,120,122,
123,124,127,128,129,132,137,144,148,157,158,161,162,164,165,169,170,171,172,
178,187,189,199,201,217,259,263,265,272,273,274,276,278,280,287,288,289,293,
294,297,298,301,302,306,310,315,318,320,321,322,324,325,326,327,328,329,332,
335,336,338,340,346,356,357,360,362,368,372,386,387,391,395,397,401,403,406,
411,414,418,430,433,444,452,453,457,477,479,499,511,513,518,524,528,539,543,
550,674,686,688,690,695,715,723,727,730,736,745,749,753,755,757,759,769,777,
783,791,793,805,831,836,874,879,881,899,906,944,960,972,973,991,1004,1010,
1015,1029,1079,1111,1246,1252,1275,1295,1303,1311,1326,1434,1451,1462,1473,
1798],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,36,41,42,51,65,66,67,68,
71,72,73,77,79,80,83,85,87,90,96,98,99,103,120,123,128,132,137,138,146,148,
164,165,169,184,187,190,199,260,265,276,279,280,289,293,294,296,298,301,307,
325,328,329,332,334,349,352,357,365,366,386,397,399,403,411,430,433,439,442,
454,463,577,582,585,591,672,681,690,695,728,742,744,755,756,763,782,783,868,
906,939,980,1004,1030,1050,1070,1260,1262,1310,1312,1326,1388,1394,1799],[1,2,
4,6,7,11,13,15,16,20,22,28,29,30,31,32,35,37,38,45,46,65,71,72,73,78,80,81,82,
84,86,88,89,99,108,109,113,115,137,147,148,170,171,172,186,196,208,263,265,
272,273,274,278,291,310,327,335,337,340,371,372,391,394,395,407,410,430,437,
455,456,471,525,548,686,688,696,738,762,772,773,809,878,920,945,965,998,1002,
1266,1282,1338,1433,1486,1800],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,
34,35,37,41,42,66,67,68,70,71,72,73,76,77,79,80,82,83,85,86,87,88,89,90,91,94,
96,97,98,99,111,120,123,128,130,132,137,138,140,146,148,161,162,165,168,171,
184,187,262,264,266,268,270,273,274,275,276,277,279,280,287,289,296,299,300,
301,303,307,316,318,321,325,328,334,338,343,352,360,368,384,387,388,397,403,
408,412,421,424,430,439,442,448,450,470,482,485,512,570,577,584,585,675,676,
679,685,692,693,694,698,706,712,715,716,722,730,731,732,734,736,743,744,750,
756,763,766,771,775,776,779,786,813,816,819,828,836,857,861,862,863,868,874,
876,879,885,886,919,958,962,976,980,1001,1010,1030,1240,1241,1264,1300,1313,
1315,1316,1350,1356,1371,1392,1398,1403,1425,1516,1518,1519,1536,1801],[1,2,4,
5,6,7,11,13,15,16,20,21,22,27,28,29,32,33,34,36,38,41,42,43,47,49,51,66,72,73,
76,77,79,81,84,85,87,89,91,101,103,106,114,118,120,123,130,149,150,153,157,
162,165,166,169,173,174,185,187,188,190,191,194,213,264,275,280,282,291,293,
301,304,308,312,317,318,326,330,345,346,347,349,359,361,363,374,379,381,384,
399,400,402,404,405,409,412,415,422,432,433,437,440,443,445,495,503,520,545,
685,713,721,761,781,782,785,829,832,844,848,864,893,906,911,913,937,946,951,
988,1028,1065,1077,1271,1290,1292,1318,1325,1362,1370,1802],[1,2,3,4,5,6,7,11,
12,13,15,16,17,20,21,22,27,28,29,30,32,35,36,37,38,41,42,47,48,49,50,66,67,69,
72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,95,100,101,103,105,106,107,
108,112,113,114,116,117,118,122,124,127,129,141,144,145,149,157,158,165,166,
167,171,173,174,175,178,182,185,187,189,191,194,201,205,208,211,260,273,274,
276,280,288,291,293,297,304,306,308,309,311,312,313,314,315,317,319,320,322,
324,326,330,331,336,339,340,345,346,347,350,353,354,356,359,362,367,369,373,
374,377,380,381,385,394,396,398,400,401,402,403,404,405,406,407,409,410,414,
416,418,420,422,432,436,437,440,444,445,457,513,532,535,562,565,588,596,673,
684,689,717,719,721,723,725,727,733,738,741,745,754,762,764,767,770,778,781,
784,785,787,788,791,792,799,801,804,807,808,810,811,815,832,834,844,850,854,
858,872,873,890,892,895,896,903,926,931,933,937,943,951,966,968,969,975,981,
988,994,996,999,1000,1003,1005,1008,1009,1016,1017,1020,1023,1026,1028,1031,
1265,1290,1309,1329,1331,1353,1361,1383,1391,1436,1438,1443,1453,1472,1484,
1491,1509,1522,1547,1803],[1,2,4,5,6,7,11,13,15,20,21,22,27,28,29,30,31,33,36,
38,41,42,45,46,47,49,52,53,65,66,71,72,73,77,78,79,81,83,85,87,99,101,103,106,
108,109,110,113,114,115,118,119,120,123,125,128,131,132,147,149,150,151,152,
154,159,160,163,165,166,170,172,173,174,182,186,191,195,197,216,221,265,272,
276,278,280,282,290,294,301,305,312,314,323,327,328,329,330,331,332,333,340,
345,347,348,351,359,363,367,371,372,373,376,378,383,391,392,396,402,404,405,
411,415,416,423,428,431,435,440,445,458,478,490,492,494,496,497,498,502,506,
510,515,521,523,533,546,549,554,686,695,704,721,726,737,740,761,764,765,768,
790,826,827,839,845,846,849,853,855,887,891,901,904,909,915,936,940,967,974,
983,989,1006,1007,1012,1016,1089,1102,1248,1276,1332,1339,1369,1374,1379,1405,
1532,1542,1544,1804],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,
36,38,41,42,46,51,52,53,65,66,67,68,71,72,73,77,78,79,80,81,83,85,87,90,96,98,
99,103,108,109,110,113,115,119,120,123,125,128,131,132,137,138,146,148,151,
152,154,159,160,163,164,165,166,169,170,172,174,183,184,187,195,197,199,207,
223,260,265,272,276,278,279,280,289,290,293,294,296,298,301,305,307,323,325,
327,328,329,332,333,334,340,345,348,351,352,357,372,376,378,383,386,391,396,
397,403,411,428,430,431,433,435,439,442,458,466,474,478,490,494,502,521,523,
526,529,530,541,546,549,554,560,577,585,586,672,681,686,690,695,704,709,719,
724,739,740,742,744,755,756,763,783,826,859,860,868,901,904,906,909,929,930,
936,960,964,980,1004,1006,1007,1015,1018,1030,1041,1248,1249,1295,1326,1377,
1386,1394,1416,1490,1531,1549,1805],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,
21,22,23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,44,46,47,48,49,50,52,53,
66,69,72,73,74,75,77,78,79,81,84,85,86,92,93,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,121,122,124,125,126,127,128,
129,131,132,134,135,136,139,141,142,143,144,149,150,151,152,154,155,156,157,
158,159,160,162,163,165,166,171,172,173,174,175,176,177,178,179,181,182,189,
191,192,194,197,198,201,203,204,205,206,208,210,211,212,214,215,221,222,261,
269,277,280,281,282,284,285,292,295,306,312,315,318,320,322,323,328,330,333,
336,340,345,348,353,355,356,359,362,363,364,370,373,376,377,378,382,389,390,
391,393,400,402,404,405,406,407,413,415,418,419,426,428,429,431,434,436,440,
441,444,446,451,457,459,460,462,464,467,468,469,475,480,483,484,486,489,490,
493,496,498,499,501,502,504,505,507,508,509,510,511,514,517,519,522,528,531,
533,534,536,540,542,544,546,547,549,550,551,553,554,555,562,565,566,573,576,
587,588,592,594,596,597,598,601,682,691,697,702,711,714,720,721,735,740,761,
789,791,800,820,825,827,841,847,849,851,854,855,856,865,871,898,907,912,916,
917,923,924,950,953,970,972,982,983,994,995,1007,1024,1035,1042,1043,1044,
1047,1051,1055,1056,1059,1060,1061,1064,1071,1072,1074,1076,1078,1080,1089,
1096,1101,1107,1108,1113,1115,1117,1123,1127,1286,1287,1298,1333,1367,1368,
1374,1423,1424,1435,1500,1581,1585,1588,1589,1806],[1,2,4,5,6,7,11,13,15,19,
20,21,22,27,28,29,30,31,34,36,38,41,42,43,44,47,49,65,66,71,72,73,75,76,77,78,
79,81,83,85,87,91,97,99,101,103,106,111,114,118,120,123,128,130,132,142,149,
153,162,165,166,172,173,174,182,188,191,195,198,213,222,261,264,265,268,275,
276,277,280,294,301,312,314,318,327,328,329,330,331,332,345,347,351,355,359,
361,367,373,379,383,384,390,396,402,404,405,411,412,413,416,426,434,440,443,
445,450,469,470,484,495,503,507,520,544,545,685,691,695,700,713,721,726,737,
764,765,768,775,789,800,803,829,837,848,864,870,880,887,893,904,942,957,970,
982,995,1012,1016,1021,1061,1065,1233,1274,1291,1333,1346,1369,1370,1432,1445,
1511,1556,1807],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,33,34,
36,38,41,42,44,46,48,50,52,53,66,69,72,73,74,76,77,78,79,81,84,85,87,89,91,
103,105,107,108,109,110,112,113,115,116,117,119,120,122,123,124,125,127,129,
130,131,142,144,150,151,152,154,157,158,159,160,162,163,165,172,178,180,182,
185,187,189,197,198,214,264,275,280,282,283,286,301,304,306,308,311,314,315,
318,320,322,323,324,331,333,336,340,348,355,358,362,363,367,373,374,375,376,
378,381,384,390,391,396,406,409,410,412,414,415,416,417,418,422,425,427,428,
431,434,438,444,451,457,458,475,477,478,480,483,490,493,494,501,521,522,524,
531,534,537,539,543,547,551,555,556,685,699,740,761,764,778,784,785,787,788,
789,791,875,877,890,894,899,901,907,910,911,913,915,924,940,942,947,948,949,
957,959,981,1005,1011,1023,1035,1047,1059,1121,1276,1291,1294,1309,1357,1362,
1368,1479,1521,1546,1557,1808],[1,2,3,4,5,6,7,11,13,15,16,17,20,21,22,27,28,
29,30,32,33,36,38,41,42,44,47,48,49,50,51,66,69,72,73,74,77,78,79,80,81,84,87,
89,101,103,105,106,107,108,112,113,114,116,117,118,122,124,127,129,140,142,
149,150,165,166,167,169,173,174,178,187,189,190,191,198,214,280,282,297,299,
304,306,308,312,315,320,321,322,325,330,336,339,340,345,349,350,355,359,362,
363,380,390,399,402,404,405,406,409,414,415,416,418,422,433,434,437,440,444,
445,493,501,534,547,687,721,725,761,767,770,782,785,789,791,792,907,924,929,
943,996,999,1026,1029,1035,1059,1077,1091,1271,1279,1322,1331,1366,1368,1380,
1809],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,31,32,41,42,43,51,66,68,71,72,73,
77,79,80,82,85,89,90,94,137,138,140,146,148,153,161,162,165,168,169,184,188,
199,266,270,273,279,280,287,299,300,303,316,318,321,334,352,357,361,368,379,
387,397,408,421,430,442,443,454,463,485,512,675,693,713,731,743,750,771,779,
813,836,862,876,902,939,954,984,1245,1350,1395,1427,1478,1810],[1,2,4,5,6,11,
13,15,20,21,22,24,27,29,31,32,34,41,42,51,66,68,71,72,73,76,77,79,80,82,85,89,
90,91,111,120,123,130,138,146,162,165,168,169,184,196,199,264,273,275,277,279,
280,289,296,300,301,318,334,338,357,360,384,387,408,412,421,442,454,463,471,
525,548,685,692,693,706,730,763,786,835,885,905,939,954,984,1002,1264,1324,
1395,1458,1538,1811],[1,2,4,5,6,11,13,15,16,19,20,21,22,27,29,30,32,36,41,42,
43,45,51,66,72,73,75,77,78,79,84,85,87,89,103,111,128,132,145,147,153,158,162,
165,169,182,186,187,188,190,194,261,277,280,288,291,293,304,308,313,314,318,
328,331,346,347,349,350,361,367,371,373,379,380,392,396,399,400,409,410,413,
422,423,426,432,433,443,691,713,764,781,782,785,790,803,807,823,880,903,932,
955,969,975,1000,1004,1008,1274,1318,1341,1352,1375,1383,1385,1812],[1,2,3,4,
5,6,7,11,12,13,15,16,17,20,21,22,28,29,30,35,36,37,38,41,42,43,44,45,48,50,66,
67,69,72,73,74,77,78,79,81,84,86,88,95,100,103,105,107,108,112,113,116,117,
122,124,127,129,141,142,147,153,165,166,171,174,175,186,188,189,194,198,201,
208,219,260,274,280,291,293,306,315,320,322,336,340,345,355,356,361,362,369,
371,377,379,390,392,394,396,400,401,406,407,418,423,432,434,443,444,447,455,
456,465,476,552,562,579,583,596,673,684,713,719,727,762,781,789,790,791,842,
852,854,873,882,966,968,971,998,1058,1094,1105,1250,1329,1335,1340,1342,1372,
1375,1813],[1,2,4,5,6,7,11,13,15,20,21,22,24,28,29,30,31,32,33,36,38,41,42,45,
46,47,49,51,52,53,66,68,71,72,73,77,79,80,81,82,89,90,101,103,106,109,110,113,
114,115,118,119,125,131,138,145,146,147,149,150,159,163,164,165,166,167,168,
169,170,172,173,174,185,186,190,191,195,197,216,221,223,273,278,279,280,282,
298,300,312,313,323,330,333,334,339,345,348,349,351,359,363,371,376,378,381,
391,392,399,402,404,405,408,415,421,423,428,431,433,440,452,453,466,492,496,
497,498,506,510,515,529,530,532,533,535,541,558,563,572,590,693,721,739,740,
741,761,782,790,824,827,839,845,849,853,855,897,925,935,977,983,989,991,1018,
1019,1032,1048,1053,1069,1077,1089,1102,1254,1271,1339,1343,1348,1374,1376,
1577,1583,1814],[1,2,4,5,6,7,11,13,15,16,20,21,22,27,28,29,30,32,36,38,41,42,
43,45,46,47,49,52,53,66,72,73,77,79,81,84,85,87,89,101,103,106,109,110,111,
113,114,115,118,119,125,131,147,149,153,157,159,163,165,166,172,173,174,185,
186,187,188,191,194,197,216,277,280,289,291,293,304,308,312,317,323,326,330,
333,338,345,346,347,348,359,361,371,374,376,378,379,381,391,392,400,402,404,
405,409,422,423,428,431,432,437,440,443,445,492,497,506,515,692,713,721,740,
781,785,790,832,839,844,845,853,884,918,928,937,951,988,989,1015,1028,1049,
1102,1272,1290,1304,1339,1375,1389,1393,1815],[1,2,4,5,6,7,11,13,15,20,21,22,
27,28,29,30,31,32,36,38,41,42,43,44,47,49,65,66,71,72,73,77,78,79,80,81,83,85,
87,99,101,103,106,111,114,118,120,123,128,132,140,142,149,153,165,166,172,173,
174,182,187,188,191,195,198,265,276,277,280,289,294,299,301,312,314,316,321,
325,327,328,329,330,331,332,338,345,347,351,355,359,360,361,367,373,379,383,
390,396,397,402,403,404,405,411,416,434,440,443,445,687,692,695,713,716,721,
726,737,755,764,765,768,789,837,863,887,904,1001,1012,1016,1021,1049,1091,
1263,1272,1279,1307,1344,1346,1369,1816],[1,2,3,4,5,6,7,11,13,15,16,17,19,20,
21,22,24,27,28,29,30,31,32,36,38,41,42,46,48,50,51,52,53,66,68,69,71,72,73,74,
75,77,78,79,80,81,82,84,85,89,90,103,105,107,108,109,110,111,112,113,115,116,
117,119,122,124,125,127,128,129,131,132,138,140,144,146,151,152,154,157,158,
159,160,162,163,165,168,169,172,178,179,189,190,194,195,197,223,261,273,277,
279,280,281,284,291,293,299,300,302,306,315,318,320,321,322,323,325,328,333,
334,336,337,340,346,348,349,351,352,362,368,376,378,382,383,391,393,399,400,
406,408,410,413,414,418,419,421,426,428,429,431,432,433,437,441,444,446,451,
452,453,457,466,475,480,483,490,499,502,509,511,522,528,531,536,541,546,549,
550,551,554,555,683,687,691,693,697,712,718,723,724,738,740,744,749,781,782,
791,802,824,856,862,865,871,898,912,923,929,932,935,938,950,960,972,985,991,
992,1004,1007,1014,1018,1029,1047,1048,1107,1251,1293,1322,1352,1364,1367,
1376,1473,1545,1549,1564,1817],[1,2,4,5,6,11,13,15,20,21,22,24,27,29,30,31,32,
36,41,42,66,68,71,72,73,77,78,79,80,82,85,89,90,94,103,109,137,138,140,146,
148,161,162,164,165,168,182,184,196,266,270,272,273,279,280,287,298,299,300,
303,311,314,316,317,318,321,331,334,350,352,368,373,383,387,396,397,408,421,
430,442,471,485,512,525,548,675,693,709,717,731,743,750,764,771,779,813,835,
836,862,876,889,905,993,1002,1082,1110,1244,1324,1350,1467,1520,1818],[1,2,3,
4,5,6,7,11,13,15,16,17,20,21,22,27,28,29,30,32,33,36,38,41,42,43,48,50,51,66,
69,72,73,74,77,78,79,80,81,84,87,89,103,105,107,108,112,113,116,117,122,124,
127,129,140,144,150,153,165,169,182,185,187,188,189,190,280,282,299,304,306,
308,311,314,315,320,321,322,324,325,331,336,340,349,361,362,363,367,373,374,
379,381,396,399,406,409,410,414,415,416,418,422,433,443,444,687,713,761,764,
778,782,784,785,787,788,791,883,890,921,929,981,1005,1023,1029,1307,1309,1318,
1322,1366,1381,1390,1819],[1,2,4,7,11,12,13,15,22,24,27,28,30,31,32,36,38,46,
51,65,67,68,71,72,78,80,81,82,83,85,87,89,90,96,98,99,103,108,109,113,115,146,
164,169,170,172,183,187,199,207,223,260,265,272,273,276,278,279,289,293,294,
296,298,303,307,325,327,340,352,357,372,386,391,397,403,420,422,433,439,466,
474,526,541,560,582,586,591,672,686,689,690,732,755,783,859,860,929,930,960,
964,976,1015,1018,1030,1041,1070,1247,1295,1310,1312,1377,1386,1388,1820],[1,
2,5,6,7,13,14,16,18,19,20,21,25,26,27,28,30,33,34,36,38,41,43,44,45,52,53,65,
75,76,77,78,81,84,87,97,101,102,103,104,106,107,110,111,112,117,119,123,125,
127,130,131,132,136,142,147,149,150,151,152,153,154,157,158,159,160,162,163,
172,173,181,182,193,194,200,202,204,206,209,263,269,283,284,288,294,306,308,
312,314,315,326,327,332,342,347,348,358,359,367,373,374,375,376,379,380,384,
390,392,400,413,415,419,425,429,432,445,446,450,451,458,461,462,464,465,469,
472,477,483,484,488,492,495,498,500,504,505,509,510,515,517,521,523,527,531,
534,537,540,545,546,547,549,550,552,555,680,700,707,720,726,757,770,788,800,
812,823,829,832,837,838,842,845,846,847,849,852,865,877,880,884,900,907,912,
913,921,940,949,953,957,974,1000,1006,1011,1012,1037,1071,1096,1108,1116,1120,
1123,1126,1128,1129,1270,1347,1402,1407,1418,1424,1430,1431,1445,1494,1505,
1528,1544,1546,1550,1821],[1,2,3,6,13,17,18,29,32,34,36,37,39,45,65,69,86,89,
91,94,103,137,140,145,156,161,186,196,201,209,218,259,267,294,313,317,319,335,
356,385,414,455,482,512,525,575,580,589,593,678,701,703,758,769,850,878,920,
961,1039,1040,1103,1110,1242,1267,1463,1464,1475,1504,1565,1822],[1,2,3,5,6,7,
13,17,20,21,26,27,28,29,30,32,34,36,37,38,39,40,41,45,48,50,65,69,77,78,81,86,
87,89,91,94,103,105,122,123,124,129,132,137,139,140,144,149,155,161,167,172,
173,176,178,182,186,189,196,201,202,205,218,259,292,294,297,309,311,320,324,
327,332,335,336,339,356,359,367,373,409,414,436,445,455,482,499,512,524,525,
561,567,578,581,592,594,703,705,752,769,777,799,820,878,920,961,981,999,1012,
1033,1034,1045,1082,1267,1319,1447,1475,1485,1489,1510,1823],[1,2,3,5,6,7,13,
17,19,20,21,23,25,27,28,29,30,32,33,34,36,37,38,39,40,41,43,44,45,48,50,52,53,
65,69,75,76,77,78,81,86,87,89,97,101,103,105,106,110,111,119,121,122,123,124,
125,126,129,130,131,132,137,142,144,147,150,151,152,153,154,159,160,162,163,
172,178,179,180,185,189,201,203,204,211,214,215,218,219,220,259,281,286,294,
295,297,304,312,314,320,324,327,332,335,336,344,347,348,350,353,354,356,376,
379,381,382,384,390,392,393,398,413,414,415,417,427,438,441,447,449,450,458,
467,468,469,473,475,476,480,481,484,492,493,495,498,499,501,508,510,515,516,
519,521,522,523,524,536,538,542,545,546,549,551,553,556,700,725,726,735,747,
760,769,777,787,800,825,829,837,843,845,846,849,858,871,875,880,882,883,895,
910,911,918,923,924,940,947,955,957,971,974,986,1006,1024,1027,1060,1062,1072,
1084,1088,1093,1098,1099,1101,1113,1268,1317,1406,1445,1446,1459,1492,1493,
1500,1535,1543,1544,1548,1555,1557,1824],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,
20,21,25,26,27,28,30,31,32,33,34,36,41,42,43,44,45,46,48,50,52,53,69,71,75,76,
77,78,79,83,84,87,89,97,101,102,103,104,105,106,107,108,109,110,111,112,115,
116,117,119,120,122,123,124,125,127,128,129,130,131,132,136,138,142,144,147,
150,151,152,153,154,157,158,159,160,162,163,168,172,178,181,182,193,194,200,
202,204,206,209,269,272,283,284,288,290,302,304,306,311,312,323,324,329,331,
336,344,348,350,358,362,367,372,373,375,376,379,382,383,384,390,392,400,406,
409,410,411,412,413,414,415,417,419,421,425,426,427,428,429,435,441,446,450,
451,458,461,462,464,465,469,470,472,475,477,478,480,483,484,488,492,494,495,
498,499,500,502,504,505,509,510,511,513,515,517,522,523,524,527,528,531,534,
536,537,538,539,540,543,545,546,547,550,551,552,554,556,677,720,725,737,751,
784,793,800,803,812,826,829,838,842,845,847,849,865,870,871,875,883,891,907,
909,910,911,915,918,942,949,950,953,955,959,967,971,975,981,993,1014,1021,
1037,1071,1075,1088,1096,1100,1107,1108,1111,1116,1120,1121,1123,1128,1129,
1130,1305,1413,1424,1428,1480,1494,1499,1521,1527,1540,1542,1543,1548,1556,
1561,1825],[1,2,4,5,6,11,13,15,18,20,21,22,23,24,25,26,27,29,31,32,34,35,37,
39,40,41,42,45,68,71,72,73,76,77,80,83,85,86,87,88,89,90,91,100,104,120,121,
126,128,130,133,137,138,139,140,141,143,146,147,148,155,156,161,165,168,171,
175,176,177,184,186,187,192,202,203,209,218,264,267,274,275,276,279,287,292,
295,299,300,303,308,309,310,319,329,338,352,360,368,370,371,377,387,388,397,
398,409,421,422,424,430,442,448,455,456,461,472,473,481,482,487,491,561,577,
578,580,584,593,597,694,706,708,710,733,734,748,776,797,813,822,834,857,861,
876,879,927,990,998,1025,1033,1034,1036,1040,1095,1103,1132,1323,1356,1396,
1466,1539,1541,1562,1826],[1,2,4,5,6,7,11,12,20,21,24,27,29,31,32,36,38,44,46,
47,51,66,68,73,80,85,96,101,111,118,138,140,142,145,149,161,162,164,167,168,
170,174,184,185,195,196,199,207,223,262,277,287,296,299,300,303,316,318,321,
334,352,360,368,387,434,440,442,463,469,471,530,535,544,563,567,572,575,582,
586,679,712,722,750,813,835,861,862,885,954,956,958,995,1019,1067,1073,1091,
1122,1124,1315,1399,1455,1461,1477,1515,1560,1827],[1,2,3,4,5,6,7,11,13,15,16,
17,20,21,22,24,27,28,29,30,31,32,35,36,37,38,46,48,50,51,52,53,66,68,69,71,72,
73,74,78,80,81,83,84,85,86,87,88,90,97,103,105,107,108,109,110,111,112,113,
115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,138,144,146,151,
152,154,157,158,159,160,161,162,163,169,171,172,178,184,195,201,208,217,223,
268,274,275,276,277,279,287,288,289,290,291,293,296,297,301,302,305,316,318,
322,324,325,326,328,334,337,338,340,342,344,351,352,356,358,360,365,366,374,
378,380,383,387,388,391,393,394,401,407,418,419,424,425,427,429,431,433,435,
438,441,442,444,450,451,457,458,466,470,475,477,478,479,480,483,490,494,499,
502,509,511,513,518,521,522,523,524,527,528,531,536,537,538,539,541,543,546,
549,550,551,554,555,556,694,704,715,716,718,724,727,728,736,744,745,750,754,
762,763,775,796,806,814,818,831,856,857,885,886,888,894,899,901,906,928,929,
930,932,934,941,946,960,972,973,992,1004,1007,1015,1018,1029,1047,1054,1062,
1075,1086,1088,1100,1120,1126,1130,1337,1358,1371,1419,1434,1460,1462,1526,
1530,1531,1537,1545,1549,1554,1558,1828],[1,2,3,5,6,7,13,14,17,18,19,20,21,25,
26,27,28,30,33,34,38,41,43,44,45,47,48,49,50,52,53,65,69,75,76,77,78,81,87,97,
102,104,105,110,111,114,118,119,122,123,124,125,129,130,131,132,134,135,136,
142,144,147,150,151,152,153,154,159,160,162,163,172,178,179,180,181,189,191,
193,200,202,204,206,209,210,212,213,214,216,219,221,222,259,269,281,286,297,
308,320,324,327,330,331,332,336,344,348,376,379,382,384,390,392,393,413,415,
416,417,427,438,441,447,450,458,460,461,462,464,472,475,476,480,486,488,493,
496,497,499,500,501,503,504,505,506,507,520,521,522,523,524,533,536,538,544,
546,549,551,556,598,599,600,601,677,680,682,700,768,777,778,792,803,812,823,
837,838,839,846,847,864,871,875,882,883,884,891,913,915,923,924,942,947,953,
971,982,983,1006,1011,1042,1052,1062,1063,1078,1088,1115,1119,1125,1127,1238,
1268,1401,1402,1413,1431,1432,1435,1474,1479,1499,1506,1532,1555,1568,1829],[
1,2,4,6,7,11,12,20,24,27,29,31,32,34,36,38,43,46,49,51,68,73,76,80,85,91,94,
96,97,106,114,145,153,164,167,168,170,173,174,184,185,195,196,199,207,213,223,
262,264,266,268,296,300,316,338,352,387,404,442,443,463,471,503,530,535,545,
558,581,582,586,589,590,706,722,771,848,886,897,902,905,984,1038,1049,1073,
1114,1122,1241,1417,1427,1457,1458,1488,1529,1830],[1,2,4,5,6,7,11,13,15,19,
20,21,22,24,27,29,31,32,36,38,41,42,44,46,47,51,66,68,72,73,75,77,79,80,85,98,
99,101,111,118,128,132,137,138,142,145,146,148,149,161,162,164,165,167,170,
174,183,184,185,187,195,196,199,222,223,261,277,280,287,296,307,316,318,321,
328,334,360,387,397,403,413,426,430,434,440,442,463,471,484,507,530,535,560,
563,567,572,575,577,585,591,683,691,750,756,835,836,868,874,885,954,956,970,
1001,1019,1067,1073,1083,1091,1114,1345,1429,1477,1515,1553,1566,1571,1831],[
1,2,5,6,7,13,16,19,20,21,23,25,27,28,29,30,32,33,34,37,38,39,40,41,43,44,45,
47,49,52,53,65,75,76,77,78,81,84,86,87,89,97,107,110,111,112,114,117,118,119,
121,123,125,126,127,130,131,132,137,142,147,150,151,152,153,154,157,158,159,
160,162,163,167,172,191,203,204,205,208,213,215,216,218,220,221,222,263,283,
284,288,295,304,306,311,315,326,327,330,331,332,335,339,342,348,358,375,376,
379,384,390,392,394,398,407,410,413,415,416,419,425,429,436,437,446,449,450,
451,458,459,465,468,473,477,481,483,496,497,503,506,507,508,509,514,516,519,
520,521,523,527,531,533,534,537,544,546,547,549,550,552,553,555,700,705,711,
746,747,757,767,768,784,803,825,837,839,842,846,852,864,865,877,891,907,910,
911,912,915,918,921,926,933,942,949,955,965,982,983,986,1006,1024,1027,1043,
1044,1055,1080,1085,1097,1109,1112,1120,1126,1270,1273,1408,1421,1422,1423,
1432,1449,1471,1492,1493,1521,1532,1540,1550,1832],[1,2,5,6,13,16,20,21,26,27,
29,32,34,36,37,39,40,41,45,65,77,84,86,87,89,91,94,101,103,106,123,132,137,
139,140,145,155,161,176,186,194,196,202,218,263,292,294,309,312,313,314,317,
332,335,346,347,374,380,385,400,401,409,432,455,482,512,525,561,575,578,589,
703,726,752,753,758,807,844,878,900,914,920,961,1031,1033,1034,1039,1110,1269,
1387,1448,1463,1464,1489,1510,1833],[1,2,4,6,7,11,12,20,24,27,29,31,32,36,38,
43,46,49,51,68,73,80,85,96,106,114,130,145,153,161,164,167,168,170,173,174,
184,185,195,196,199,207,223,262,270,275,287,296,300,338,352,360,404,442,443,
463,471,495,520,530,535,558,567,575,582,586,590,675,698,722,786,857,893,897,
902,905,984,1049,1067,1087,1114,1122,1240,1478,1488,1523,1529,1538,1551,
1834],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,25,26,27,28,30,31,32,33,34,36,
38,41,42,43,44,45,46,47,48,49,50,52,53,69,71,75,76,77,79,81,83,84,87,89,97,
102,103,104,105,107,108,109,110,111,112,114,115,116,117,118,119,120,122,123,
124,125,127,128,129,130,131,132,134,135,136,138,142,144,147,149,150,151,152,
153,154,157,158,159,160,162,163,167,168,170,172,173,178,179,180,181,185,189,
191,193,195,197,200,202,204,206,209,210,212,213,214,216,219,221,222,269,278,
281,286,297,302,304,305,314,315,320,326,329,330,333,339,342,348,351,359,362,
372,375,376,379,381,382,384,390,392,393,406,409,411,412,413,414,415,417,419,
421,425,426,427,428,432,435,437,438,441,445,446,447,450,451,460,461,462,464,
470,472,475,476,477,478,483,486,488,493,494,496,497,499,500,501,502,503,504,
505,506,507,509,511,513,520,521,522,523,524,527,528,531,533,536,537,538,539,
543,544,549,550,551,554,555,556,558,572,598,599,600,601,682,707,751,759,765,
767,787,812,838,839,847,852,864,870,877,880,882,898,909,910,911,912,918,921,
923,924,936,940,947,948,951,953,955,957,967,974,977,982,983,985,999,1021,1042,
1052,1062,1063,1075,1078,1086,1100,1107,1111,1115,1119,1121,1125,1126,1127,
1302,1401,1405,1407,1428,1430,1435,1449,1471,1511,1527,1534,1535,1557,1563,
1835],[1,2,4,6,7,11,12,13,15,20,22,24,27,28,29,30,31,32,35,36,37,38,46,51,67,
68,70,71,72,73,78,80,81,83,85,86,87,88,90,96,98,99,103,109,115,120,123,137,
146,148,164,166,168,169,170,171,174,183,184,187,195,199,205,207,211,223,262,
272,274,276,278,279,289,296,298,300,301,303,307,343,345,347,351,352,353,354,
357,367,383,385,388,396,397,403,416,424,430,436,439,442,445,454,463,466,474,
526,529,530,541,560,570,582,584,586,591,676,694,709,722,732,739,763,816,840,
859,860,876,908,939,979,980,1016,1020,1022,1030,1066,1070,1083,1114,1122,1124,
1134,1300,1314,1354,1411,1495,1507,1570,1836],[1,2,3,4,5,6,7,13,15,16,17,19,
20,21,23,25,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,48,50,52,53,
69,71,75,76,77,78,79,81,83,84,86,87,97,101,103,105,106,107,108,109,110,111,
112,115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,142,
144,147,150,151,152,153,154,157,158,159,160,162,163,170,172,178,179,180,184,
189,197,201,203,204,205,211,214,215,218,219,220,278,281,286,295,297,302,305,
308,309,312,315,320,324,326,329,331,333,342,348,353,356,362,367,372,375,376,
379,380,382,383,384,390,392,393,394,406,411,412,413,415,416,417,419,424,425,
426,427,428,435,436,438,441,445,446,447,449,450,451,467,468,469,470,473,475,
476,477,478,481,483,484,492,493,494,495,498,499,501,502,508,509,510,511,513,
515,516,519,521,522,523,524,527,528,531,536,537,538,539,542,543,545,549,550,
551,553,554,555,556,735,737,746,748,759,770,778,799,800,803,811,814,823,825,
829,845,849,852,870,877,882,884,891,898,909,912,913,915,921,923,924,936,942,
947,948,967,986,1011,1021,1022,1024,1027,1060,1062,1072,1075,1084,1086,1093,
1098,1099,1100,1101,1107,1111,1113,1121,1126,1334,1408,1409,1418,1421,1450,
1459,1479,1500,1505,1534,1542,1556,1563,1568,1837],[1,2,4,6,7,13,15,16,18,27,
28,29,30,31,32,34,35,36,37,38,39,45,51,71,78,81,82,84,86,87,88,89,91,94,103,
109,137,140,148,156,157,161,167,169,184,186,195,196,205,208,209,211,218,267,
272,309,310,317,326,337,339,351,353,354,367,380,386,394,395,398,401,407,410,
416,424,436,448,452,455,482,485,512,518,525,567,580,581,593,710,772,780,805,
809,811,817,818,821,830,840,926,945,1003,1034,1045,1081,1103,1110,1285,1420,
1433,1481,1487,1533,1569,1838],[1,2,4,6,7,11,12,13,15,20,22,27,28,29,30,32,36,
38,67,72,73,78,80,81,82,83,85,87,89,94,103,108,113,120,123,137,140,145,148,
161,166,167,174,185,187,196,260,266,270,273,276,287,293,299,301,311,313,316,
317,325,338,339,340,345,347,350,360,367,368,381,387,396,397,403,416,420,422,
430,445,471,485,512,525,532,535,548,567,575,581,589,689,717,719,741,742,743,
779,828,863,879,903,919,988,1002,1005,1010,1016,1026,1038,1039,1045,1067,1073,
1082,1087,1104,1110,1137,1288,1336,1361,1467,1482,1508,1520,1839],[1,2,4,5,6,
13,15,16,20,21,26,29,30,31,32,34,35,36,37,39,40,41,45,51,71,77,78,82,84,86,88,
89,91,94,103,107,109,117,137,138,139,140,145,148,155,161,168,169,176,182,186,
196,202,218,272,292,304,306,310,311,313,319,331,337,346,350,354,373,383,386,
394,395,410,421,432,448,452,455,482,485,512,518,525,561,575,578,589,729,772,
774,784,802,805,809,817,821,892,945,969,993,1013,1033,1039,1040,1081,1082,
1373,1400,1433,1439,1525,1567,1569,1840],[1,2,4,5,6,7,13,15,16,20,21,26,28,29,
31,32,34,35,36,37,38,39,40,41,45,46,47,49,51,71,77,81,82,84,86,88,89,91,94,
103,112,114,115,118,127,137,138,139,140,148,149,155,161,167,168,169,170,173,
176,185,186,191,194,195,196,202,208,211,217,218,278,292,304,310,315,317,319,
330,337,339,346,351,353,359,381,386,395,400,407,421,437,448,453,455,479,482,
485,512,525,558,561,567,572,573,578,581,587,767,773,774,780,801,809,817,821,
841,881,937,938,945,977,1033,1040,1045,1081,1110,1351,1400,1440,1481,1486,
1487,1567,1841],[1,2,4,5,7,11,12,19,21,24,31,32,36,38,44,46,47,51,66,68,75,80,
94,96,101,118,138,142,145,149,164,167,170,174,185,195,196,199,207,222,223,261,
262,266,270,303,321,334,434,440,463,471,484,507,530,535,563,572,581,582,586,
589,679,683,731,835,954,956,970,1019,1038,1087,1091,1122,1124,1231,1399,1429,
1501,1559,1560,1566,1842],[1,2,3,4,5,6,7,11,13,15,16,17,18,20,21,22,23,24,25,
26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,68,69,71,72,73,74,
77,78,81,83,84,85,86,87,88,89,90,100,101,103,104,105,106,107,108,109,112,113,
114,115,116,117,118,120,121,122,124,126,127,128,129,133,138,139,141,143,144,
145,146,148,149,155,156,157,158,164,165,166,167,168,170,171,173,174,175,176,
177,178,182,184,185,187,189,191,192,194,195,201,203,205,208,211,267,272,274,
276,278,279,288,291,292,293,295,297,298,302,306,308,309,310,311,312,313,314,
315,317,319,320,322,324,326,329,330,331,336,337,339,340,345,346,347,350,351,
353,354,356,359,367,370,373,374,377,380,381,383,385,388,394,396,398,400,401,
407,409,410,414,416,421,422,424,432,436,437,442,445,457,459,467,487,491,511,
513,514,528,529,530,539,542,543,558,562,563,565,572,573,577,584,587,588,590,
592,594,596,597,694,701,708,709,710,711,718,724,727,729,733,735,737,739,745,
746,748,754,759,760,762,765,770,772,773,778,780,788,792,793,799,801,802,804,
807,808,810,811,814,815,818,820,822,830,832,834,840,841,844,850,854,858,869,
872,873,887,889,890,892,895,896,903,908,914,925,926,933,934,938,941,943,944,
951,963,966,968,975,977,979,981,985,987,988,990,993,994,996,997,999,1000,1003,
1005,1008,1009,1013,1014,1016,1017,1020,1022,1023,1025,1026,1028,1031,1285,
1297,1328,1334,1337,1354,1396,1410,1414,1436,1438,1441,1442,1452,1453,1454,
1456,1469,1470,1472,1476,1484,1491,1502,1503,1512,1513,1514,1552,1843],[1,2,4,
5,7,11,13,15,21,22,24,27,31,32,36,38,44,46,47,51,66,68,72,80,82,85,89,94,98,
99,101,111,118,128,132,138,142,145,146,149,164,167,170,174,183,185,187,195,
196,199,223,266,270,273,277,296,303,307,316,321,325,328,334,352,360,368,397,
403,434,440,463,469,471,530,535,544,560,563,572,581,589,591,712,731,749,756,
779,835,919,954,956,958,976,995,1001,1019,1038,1083,1087,1091,1114,1281,1455,
1461,1501,1553,1559,1571,1844],[1,2,3,4,5,6,7,13,15,16,17,19,20,21,23,25,27,
28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,69,71,75,
76,77,78,79,81,83,84,86,87,97,103,105,107,108,109,110,111,112,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,142,144,147,150,
151,152,153,154,157,158,159,160,162,163,172,178,184,191,195,201,203,204,205,
208,213,215,216,218,220,221,222,272,283,284,288,290,295,297,302,306,308,309,
314,323,324,329,330,336,344,348,351,354,356,358,362,367,372,374,375,376,379,
382,384,390,392,406,407,411,412,413,415,416,417,419,424,425,426,427,428,429,
435,436,441,445,446,449,450,451,458,459,465,468,470,473,475,477,478,480,481,
483,494,496,497,499,502,503,506,507,508,509,511,513,514,516,519,520,522,523,
524,527,528,531,533,534,536,537,538,539,543,544,546,547,550,551,552,553,554,
556,711,748,760,765,788,792,793,799,815,823,825,826,839,840,842,864,865,870,
871,875,880,883,884,907,909,913,940,941,949,950,957,959,967,971,974,982,983,
986,1011,1021,1024,1027,1043,1044,1055,1075,1080,1085,1088,1097,1100,1107,
1109,1111,1112,1120,1121,1130,1328,1405,1406,1409,1422,1423,1446,1450,1474,
1480,1506,1511,1528,1546,1561,1845],[1,2,4,7,11,12,13,15,22,27,28,30,32,46,51,
67,72,80,82,83,85,87,89,109,113,115,151,152,154,160,169,172,183,187,196,207,
260,273,276,290,305,365,366,391,403,420,422,433,435,452,453,471,474,490,523,
525,526,548,689,704,728,794,952,964,978,991,1002,1104,1106,1239,1278,1288,
1572,1575,1846],[1,2,4,6,7,11,13,15,20,22,24,27,28,29,30,31,35,37,45,46,51,68,
71,72,73,83,85,86,87,88,90,109,113,115,146,147,151,152,154,160,169,171,172,
184,186,199,217,223,274,276,279,290,305,357,365,366,371,388,391,424,433,435,
442,454,455,456,463,466,479,490,518,523,541,694,704,728,806,831,888,939,998,
1018,1054,1066,1095,1314,1323,1358,1576,1586,1847],[1,2,6,7,13,16,18,28,29,30,
32,34,36,37,38,39,45,65,78,81,84,86,89,91,94,103,137,140,156,161,167,172,185,
186,196,205,208,209,211,218,263,267,294,311,319,327,335,339,346,350,353,354,
381,394,401,407,410,436,437,455,482,512,525,567,580,581,593,678,703,705,753,
801,830,843,878,892,896,920,961,965,1040,1045,1082,1103,1269,1277,1447,1448,
1485,1504,1565,1848],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,27,28,29,30,32,
36,38,46,48,50,51,52,53,66,67,69,72,73,74,78,80,81,82,83,84,85,87,89,97,103,
105,107,108,109,110,111,112,113,115,116,117,119,120,122,123,124,125,127,128,
129,130,131,132,137,144,148,151,152,154,157,158,159,160,162,163,166,169,172,
174,178,183,187,207,260,268,273,275,276,277,288,289,290,291,293,297,301,305,
316,318,321,322,324,325,326,328,340,342,344,345,346,358,360,365,366,368,374,
378,380,387,391,393,396,397,403,410,414,418,419,420,422,425,427,429,430,431,
433,435,437,438,441,444,450,451,452,453,457,458,470,474,475,477,478,480,483,
490,494,499,502,509,511,513,521,522,523,524,526,527,528,531,536,537,538,539,
543,546,549,550,551,554,555,556,681,684,689,704,716,719,723,728,730,738,742,
745,749,754,775,796,819,856,874,894,899,901,906,928,929,930,932,946,952,960,
962,964,972,973,978,991,992,996,1001,1004,1007,1008,1015,1023,1028,1029,1047,
1062,1075,1086,1088,1100,1106,1120,1126,1130,1278,1321,1353,1412,1415,1416,
1451,1473,1490,1517,1526,1537,1554,1558,1564,1849],[1,2,4,6,7,13,15,16,18,27,
28,29,30,31,32,34,35,36,37,38,39,45,46,51,71,78,81,82,84,86,87,88,89,91,94,
103,115,137,140,145,148,156,158,161,169,170,184,186,196,205,208,209,211,217,
218,267,278,288,309,310,311,313,337,353,354,374,383,386,394,395,398,401,407,
416,424,436,437,445,448,453,455,479,482,485,512,525,575,580,589,593,710,729,
773,808,809,815,817,821,830,881,933,934,945,1022,1034,1039,1081,1082,1103,
1297,1420,1439,1440,1486,1525,1533,1850],[1,2,4,6,7,11,13,15,20,22,24,27,29,
31,32,36,38,43,46,49,51,68,72,73,80,83,85,87,94,98,99,106,114,130,137,145,146,
148,153,164,167,168,170,173,174,183,185,187,195,196,199,223,266,275,276,289,
296,300,303,307,316,325,338,352,360,368,387,397,403,404,430,443,463,471,495,
520,530,535,558,560,581,589,590,591,716,766,771,786,819,879,893,897,902,905,
919,958,984,1030,1038,1049,1073,1083,1124,1392,1417,1427,1483,1523,1524,1538,
1851],[1,2,4,6,7,11,13,15,20,22,24,27,29,31,32,34,35,36,37,38,43,46,49,51,68,
72,73,76,80,85,86,88,91,98,99,106,114,120,123,137,140,145,146,148,153,161,164,
167,168,170,171,173,174,183,184,185,187,195,196,199,213,223,264,270,274,287,
299,300,301,303,307,325,338,368,387,403,404,430,442,443,448,463,471,482,503,
530,535,545,558,560,567,570,575,584,590,591,675,706,736,766,776,813,816,828,
848,897,902,905,984,1010,1049,1067,1083,1087,1124,1316,1457,1458,1478,1483,
1524,1551,1852],[1,2,5,8,9,10,11,19,21,56,58,66,75,224,225,226,231,235,237,
240,261,615,617,1139,1140,1148,1151,1152,1853],[1,2,4,8,9,10,11,12,13,15,22,
61,67,72,224,226,227,228,229,233,241,260,641,1141,1145,1146,1160,1854],[1,2,4,
8,9,10,11,12,24,31,56,61,68,96,224,226,227,228,229,231,237,238,241,262,624,
626,1140,1141,1149,1150,1159,1161,1855],[1,4,5,6,8,9,10,12,14,18,23,35,40,42,
58,61,92,95,143,224,227,228,229,230,234,236,239,241,253,271,627,630,1138,1141,
1147,1156,1157,1158,1856],[1,3,5,7,8,9,10,14,19,33,44,47,50,53,54,55,57,58,60,
62,63,134,136,179,206,214,221,222,224,230,234,235,236,243,244,247,248,252,254,
598,602,603,604,620,622,623,647,653,656,659,661,663,665,666,1138,1142,1224,
1225,1590,1596,1598,1857],[1,2,3,5,6,7,8,9,10,11,16,17,36,37,38,41,48,50,54,
55,56,57,58,59,60,62,63,74,100,174,189,194,201,208,224,226,231,237,242,245,
246,248,249,250,251,254,257,562,602,603,604,609,621,625,629,648,649,650,654,
658,660,664,1140,1142,1194,1222,1592,1594,1597,1858],[1,3,5,7,8,9,10,14,19,33,
44,47,50,53,54,55,57,58,60,62,63,134,136,179,206,214,221,222,224,225,235,236,
240,243,244,247,248,252,254,598,602,603,604,608,622,623,640,644,647,653,663,
665,666,671,1139,1142,1201,1224,1591,1593,1595,1859],[1,5,9,14,19,33,55,64,
136,225,234,605,608,620,1860],[1,2,9,13,56,64,65,233,605,618,1226,1861],[1,6,
9,18,34,45,59,64,209,232,253,605,610,645,1862],[1,4,10,24,61,64,70,238,607,
657,1227,1863],[1,2,4,8,11,12,13,15,22,24,31,65,67,68,70,71,72,90,96,98,99,
146,226,228,260,262,265,279,307,343,439,672,676,1146,1149,1229,1864],[1,2,4,5,
6,9,11,12,13,14,15,18,20,21,22,23,25,26,29,35,37,39,40,41,42,66,67,72,73,77,
79,86,88,92,93,95,100,102,104,121,126,133,139,141,143,155,156,165,171,175,176,
177,192,203,227,233,234,253,260,267,269,271,274,280,285,292,295,341,364,369,
370,377,389,487,489,491,597,673,708,714,795,1145,1153,1155,1157,1230,1865],[1,
2,4,5,10,11,12,19,21,24,31,32,66,68,75,80,94,96,138,229,231,238,240,261,262,
266,270,303,321,334,679,683,731,1148,1150,1154,1231,1866],[1,2,4,9,11,12,13,
15,22,24,31,56,65,67,68,70,71,72,90,96,98,99,146,227,233,237,260,262,265,279,
307,343,439,618,624,632,672,676,1145,1161,1173,1229,1605,1867],[1,2,4,5,6,8,
11,12,13,14,15,18,20,21,22,23,25,26,29,35,37,39,40,41,42,58,66,67,72,73,77,79,
86,88,92,93,95,100,102,104,121,126,133,139,141,143,155,156,165,171,175,176,
177,192,203,226,228,236,260,267,269,271,274,280,285,292,295,341,364,369,370,
377,389,487,489,491,597,615,625,627,673,708,714,795,1146,1158,1175,1230,1604,
1868],[1,2,4,5,6,10,11,12,13,14,15,18,20,21,22,23,25,26,29,35,37,39,40,41,42,
61,66,67,72,73,77,79,86,88,92,93,95,100,102,104,121,126,133,139,141,143,155,
156,165,171,175,176,177,192,203,229,230,239,241,260,267,269,271,274,280,285,
292,295,341,364,369,370,377,389,487,489,491,597,630,639,641,662,673,708,714,
795,1147,1156,1160,1202,1230,1618,1869],[1,2,4,5,10,11,12,19,21,24,31,32,61,
66,68,75,80,94,96,138,231,240,241,261,262,266,270,303,321,334,626,679,683,731,
1148,1159,1231,1611,1870],[1,2,4,5,8,11,12,19,21,24,31,32,58,66,68,75,80,94,
96,138,226,228,235,261,262,266,270,303,321,334,615,679,683,731,1149,1152,1231,
1616,1871],[1,2,4,5,9,11,12,19,21,24,31,32,56,66,68,75,80,94,96,138,225,227,
237,261,262,266,270,303,321,334,617,624,643,679,683,731,1151,1161,1209,1231,
1872],[1,2,4,10,11,12,13,15,22,24,31,61,65,67,68,70,71,72,90,96,98,99,146,229,
231,238,241,260,262,265,279,307,343,439,626,634,641,657,672,676,1150,1159,
1160,1200,1229,1626,1873],[1,2,5,6,9,13,20,21,26,27,29,32,34,37,39,40,41,45,
55,56,59,65,77,86,87,89,91,94,123,132,137,139,140,155,161,176,186,202,218,232,
233,246,292,309,332,335,409,455,482,512,561,578,611,612,618,619,635,637,643,
703,752,878,1033,1034,1178,1213,1510,1603,1874],[1,2,6,9,13,29,32,34,36,37,56,
65,86,89,91,94,103,137,140,145,161,196,232,233,251,294,313,317,335,385,482,
512,525,575,589,618,637,643,703,758,920,1039,1110,1182,1218,1463,1603,1875],[
1,2,3,6,9,13,17,29,32,34,36,37,56,62,65,69,86,89,91,94,103,137,140,161,201,
232,233,245,259,294,335,356,414,482,512,618,637,642,643,703,769,961,1174,1267,
1603,1876],[1,2,4,6,9,11,13,15,20,22,29,31,32,34,35,37,56,65,71,72,73,76,80,
82,86,88,89,91,94,99,137,140,148,161,171,232,233,237,264,265,266,273,274,287,
299,310,335,395,430,448,482,485,512,613,618,632,637,643,688,703,743,776,817,
1173,1183,1209,1235,1603,1877],[1,2,6,9,13,16,29,32,34,36,37,56,65,84,86,89,
91,94,103,137,140,161,232,233,249,263,294,335,346,401,482,512,618,637,643,703,
753,961,1166,1269,1603,1878],[1,2,4,5,6,8,11,12,13,15,20,21,22,29,33,35,37,41,
42,58,66,67,72,73,77,79,86,88,95,100,141,150,165,171,175,226,228,247,260,274,
280,282,363,369,377,415,615,625,627,673,761,1146,1170,1236,1604,1879],[1,2,5,
6,9,13,19,20,21,27,34,36,41,43,44,56,65,75,76,77,87,97,101,103,106,111,123,
130,132,142,153,162,225,232,233,251,294,312,314,332,347,379,384,390,413,450,
469,484,495,545,613,617,618,628,700,726,800,829,837,880,957,1167,1182,1186,
1445,1607,1880],[1,2,4,7,9,11,12,13,15,22,24,28,30,31,38,46,51,56,60,65,67,68,
71,72,78,81,90,96,98,99,108,109,113,115,146,169,170,172,183,199,207,223,227,
233,242,260,265,272,278,279,307,327,340,357,372,386,391,433,439,466,474,526,
541,560,586,618,624,631,632,667,672,686,783,859,860,964,1018,1041,1145,1162,
1195,1386,1605,1619,1881],[1,2,4,6,9,11,12,13,15,20,22,24,27,29,31,32,35,37,
56,59,65,67,68,71,72,73,80,82,85,86,88,89,90,96,98,99,120,123,137,146,148,168,
171,184,187,227,233,250,260,265,273,274,279,289,300,301,303,307,310,325,335,
352,395,397,403,430,439,442,570,584,612,618,624,632,638,672,688,742,755,766,
816,876,976,980,1145,1187,1204,1299,1605,1606,1882],[1,2,3,4,5,6,7,8,11,12,13,
15,16,17,20,21,22,28,29,30,35,36,37,38,41,42,48,50,54,57,58,66,67,69,72,73,74,
77,78,79,81,84,86,88,95,100,103,105,107,108,112,113,116,117,122,124,127,129,
141,165,166,171,174,175,189,194,201,208,226,228,248,260,274,280,291,293,306,
315,320,322,336,340,345,356,362,369,377,394,396,400,401,406,407,418,432,444,
562,596,609,614,615,625,627,629,673,684,719,727,762,781,791,854,873,966,968,
1146,1181,1194,1329,1600,1602,1604,1883],[1,2,4,5,6,8,11,12,13,15,20,21,22,29,
35,37,41,42,43,44,58,66,67,72,73,77,79,86,88,95,100,141,142,153,165,171,175,
188,198,226,228,244,260,274,280,355,361,369,377,379,390,434,443,579,583,615,
625,627,673,713,789,1105,1146,1165,1193,1335,1604,1884],[1,2,4,5,6,7,8,11,12,
13,15,20,21,22,28,29,30,35,36,37,38,41,42,47,49,57,58,66,67,72,73,77,78,79,81,
86,88,95,100,101,103,106,108,113,114,118,141,149,165,166,171,173,174,175,182,
191,205,211,226,228,252,260,274,280,293,312,314,330,331,340,345,353,354,359,
369,373,377,385,396,402,404,405,436,440,565,588,614,615,625,627,629,673,719,
721,764,810,872,994,1017,1020,1146,1180,1214,1391,1602,1604,1885],[1,2,6,9,13,
18,29,32,34,37,39,45,56,59,65,86,89,91,94,137,140,156,161,186,209,218,232,233,
250,267,319,335,455,482,512,580,593,610,618,635,637,638,643,678,703,878,1040,
1103,1187,1191,1565,1603,1886],[1,2,4,9,11,12,13,15,16,22,24,31,56,65,67,68,
71,72,84,90,96,98,99,146,227,233,249,260,263,265,279,291,307,337,439,618,624,
632,672,696,1145,1166,1234,1605,1887],[1,2,4,5,6,7,8,11,12,13,15,20,21,22,28,
29,30,35,37,41,42,46,51,52,53,57,58,66,67,72,73,77,79,86,88,95,100,109,110,
113,115,119,125,131,141,159,163,165,169,171,172,175,183,190,197,207,217,226,
228,243,260,274,280,323,333,348,349,369,376,377,378,391,399,428,431,433,474,
479,518,526,559,569,614,615,625,627,646,673,740,782,831,866,867,964,1046,1146,
1172,1196,1320,1604,1615,1888],[1,2,5,6,9,13,19,20,21,23,25,27,29,32,33,34,37,
39,40,41,45,56,59,65,75,76,77,86,87,89,97,111,121,123,126,130,132,137,147,150,
162,203,204,218,225,232,233,250,295,304,332,335,384,392,398,413,415,450,473,
481,508,553,613,616,617,618,628,635,638,700,747,825,846,911,955,986,1163,1168,
1187,1492,1607,1889],[1,2,6,7,9,13,28,29,30,32,34,37,38,56,60,65,78,81,86,89,
91,94,137,140,161,167,172,196,205,232,233,242,311,327,335,339,436,482,512,525,
567,581,618,631,637,643,703,705,920,1045,1082,1162,1197,1485,1603,1890],[1,2,
3,4,9,11,12,13,15,16,17,22,24,31,56,62,65,67,68,69,71,72,74,84,90,96,98,99,
116,146,227,233,245,259,260,263,265,279,291,302,307,322,337,439,618,624,632,
642,672,674,684,696,718,1145,1174,1237,1605,1617,1891],[1,2,5,6,7,9,13,19,20,
21,27,28,30,34,38,41,43,44,47,49,56,60,65,75,76,77,78,81,87,97,111,114,118,
123,130,132,142,153,162,172,191,213,222,225,232,233,242,327,330,331,332,379,
384,390,413,416,450,503,507,520,544,613,617,618,628,631,636,644,700,768,803,
837,864,942,982,1162,1177,1185,1432,1607,1892],[1,2,4,5,6,9,11,13,15,19,20,21,
22,27,29,31,34,41,42,56,65,66,71,72,73,75,76,77,79,83,85,87,91,97,99,111,120,
123,128,130,132,162,165,225,232,233,237,261,264,265,268,275,276,277,280,301,
318,328,329,332,384,411,412,413,426,450,470,613,617,618,628,632,637,685,691,
695,700,775,870,1151,1173,1183,1189,1233,1607,1893],[1,2,4,9,11,12,13,15,22,
24,31,36,51,56,65,67,68,71,72,90,96,98,99,103,146,164,169,199,227,233,251,260,
265,279,293,294,298,307,357,386,433,439,582,591,618,624,632,672,690,783,1070,
1145,1182,1199,1312,1605,1894],[1,2,4,5,6,8,11,12,13,15,19,20,21,22,27,29,35,
37,41,42,58,66,67,72,73,75,77,79,85,86,88,95,100,111,128,132,141,162,165,171,
175,226,228,235,260,261,274,277,280,289,318,328,338,369,377,413,426,615,625,
627,673,681,691,692,715,1146,1152,1232,1604,1620,1895],[1,2,5,6,7,9,13,16,19,
20,21,27,28,30,34,38,41,52,53,56,65,75,76,77,78,81,84,87,97,107,110,111,112,
117,119,123,125,127,130,131,132,151,152,154,157,158,159,160,162,163,172,225,
232,233,249,263,283,284,288,306,315,326,327,332,342,348,358,375,376,384,413,
419,425,429,446,450,451,458,477,483,509,521,523,527,531,537,546,549,550,555,
613,617,618,628,700,757,865,877,912,949,1006,1120,1126,1166,1179,1184,1212,
1270,1607,1896],[1,2,5,6,9,13,14,18,19,20,21,25,26,27,33,34,41,45,55,56,59,65,
75,76,77,87,97,102,104,111,123,130,132,136,147,150,162,202,204,209,225,232,
233,246,269,308,332,384,392,413,415,450,461,462,472,504,608,610,611,612,613,
616,617,618,619,628,680,700,812,823,846,913,953,1169,1171,1178,1402,1607,
1897],[1,2,4,5,6,9,11,12,13,15,20,21,22,24,27,29,31,32,41,42,55,56,59,65,66,
67,68,71,72,73,77,79,80,83,85,87,90,96,98,99,120,123,128,132,137,138,146,148,
165,184,187,227,233,246,260,265,276,279,280,289,296,301,307,325,328,329,332,
334,352,397,403,411,430,439,442,577,585,611,612,618,624,632,638,672,681,695,
742,744,755,756,763,868,980,1030,1145,1178,1205,1394,1601,1605,1606,1898],[1,
2,3,5,6,7,9,13,17,19,20,21,27,28,30,34,38,41,48,50,52,53,56,62,65,69,75,76,77,
78,81,87,97,105,110,111,119,122,123,124,125,129,130,131,132,144,151,152,154,
159,160,162,163,172,178,179,180,189,225,232,233,245,259,281,286,297,320,324,
327,332,336,344,348,376,382,384,393,413,417,427,438,441,450,458,475,480,499,
521,522,523,524,536,538,546,549,551,556,613,617,618,628,633,640,642,700,777,
871,875,923,947,1006,1062,1088,1164,1174,1176,1211,1268,1607,1899],[1,2,4,5,6,
7,10,12,14,15,18,20,21,22,23,25,26,28,29,35,37,39,40,41,42,43,44,46,51,52,53,
61,63,67,79,88,92,93,95,102,104,110,115,121,125,126,133,139,141,142,143,153,
155,156,165,169,171,175,176,177,181,183,188,190,192,193,197,198,200,203,206,
207,215,217,220,229,230,239,255,271,333,341,349,355,361,364,369,389,464,468,
479,487,489,491,500,516,526,557,559,564,566,568,569,571,574,576,579,583,595,
597,630,639,641,652,659,662,669,795,798,867,916,1090,1105,1118,1131,1133,1135,
1136,1147,1206,1207,1216,1580,1618,1646,1900],[1,2,3,4,5,7,9,11,12,13,15,16,
17,21,22,27,28,30,46,50,51,55,60,62,66,67,69,72,74,84,85,105,107,109,113,115,
116,127,128,129,132,144,157,158,169,172,178,183,207,227,233,254,260,289,291,
322,328,391,433,444,457,474,499,511,526,528,550,611,631,642,667,681,684,928,
932,964,972,973,1145,1220,1517,1601,1617,1619,1901],[1,2,6,9,13,18,29,32,34,
37,39,45,56,59,65,86,89,91,94,137,140,156,161,186,209,218,233,250,253,267,319,
335,455,482,512,580,593,618,638,645,678,703,878,1040,1103,1155,1187,1565,1623,
1630,1902],[1,2,3,5,6,7,9,13,14,17,18,19,20,21,25,26,27,28,30,33,41,43,50,52,
55,60,62,69,75,77,78,102,104,105,111,119,122,125,129,131,132,136,144,150,151,
153,159,160,162,172,178,193,200,204,233,234,253,254,269,331,336,376,379,382,
413,415,462,480,488,499,500,504,522,536,546,611,620,631,642,655,677,803,838,
871,883,915,953,1153,1220,1413,1613,1622,1625,1903],[1,2,3,4,5,7,8,11,12,13,
15,16,17,21,22,27,28,30,46,50,51,54,57,58,66,67,69,72,74,84,85,105,107,109,
113,115,116,127,128,129,132,144,157,158,169,172,178,183,207,226,228,248,260,
289,291,322,328,391,433,444,457,474,499,511,526,528,550,609,614,615,646,681,
684,928,932,964,972,973,1146,1181,1517,1600,1615,1620,1904],[1,2,3,6,9,13,17,
18,29,32,36,37,39,56,62,65,69,86,89,103,137,145,156,201,233,245,253,259,267,
294,313,317,319,335,356,385,414,618,642,678,701,758,769,850,1155,1174,1242,
1623,1661,1905],[1,2,4,6,9,11,12,20,24,27,29,31,32,34,56,68,73,76,80,85,91,94,
96,97,168,184,227,232,237,262,264,266,268,296,300,316,338,352,387,442,613,624,
628,637,643,706,722,771,886,1161,1183,1189,1209,1241,1906],[1,2,4,5,7,8,11,12,
21,24,31,32,36,38,46,47,51,57,58,66,68,80,96,101,118,138,145,149,164,167,170,
174,185,195,199,207,223,226,228,252,262,303,334,440,463,530,535,563,572,582,
586,615,629,646,679,954,1019,1122,1124,1149,1180,1560,1616,1655,1907],[1,2,3,
4,6,7,9,11,12,13,15,16,17,20,22,27,28,29,30,32,46,48,51,59,60,62,67,69,72,73,
74,80,84,85,109,112,113,115,116,117,120,122,123,124,137,144,148,157,158,169,
172,178,183,207,227,233,257,260,291,301,322,325,391,397,418,430,433,457,474,
477,524,526,539,543,612,631,638,642,667,684,742,899,946,964,992,1029,1145,
1190,1415,1606,1617,1619,1908],[1,2,4,5,7,8,11,12,13,15,21,22,27,28,30,36,38,
46,51,53,57,58,66,67,72,78,81,85,103,108,109,110,113,115,119,128,132,151,152,
154,159,160,166,169,172,174,183,207,226,228,243,260,289,293,328,340,345,391,
396,431,433,474,490,502,526,546,549,554,614,615,629,646,681,719,930,964,1004,
1007,1015,1146,1172,1490,1602,1615,1620,1909],[1,2,4,6,10,11,20,29,31,32,43,
51,61,68,73,80,153,161,168,199,231,256,270,287,300,443,463,626,675,902,984,
1154,1203,1478,1610,1910],[1,2,5,6,9,13,14,18,19,20,21,25,26,27,33,34,41,45,
55,56,59,65,75,76,77,87,97,102,104,111,123,130,132,136,147,150,162,202,204,
209,233,234,246,253,269,308,332,384,392,413,415,450,461,462,472,504,611,612,
618,620,645,680,700,812,823,846,913,953,1153,1178,1402,1612,1614,1625,1911],[
1,2,3,5,6,7,9,13,14,17,18,20,21,25,26,27,28,30,34,41,44,45,48,53,59,60,62,69,
76,77,78,102,104,110,119,122,123,124,129,130,131,142,144,147,154,160,162,163,
172,178,181,202,206,209,233,234,253,257,269,331,336,348,384,390,392,417,458,
461,464,472,480,505,524,551,556,612,631,642,645,661,677,812,847,875,891,942,
971,1153,1190,1499,1614,1621,1622,1912],[1,2,4,6,7,10,11,20,29,31,32,36,38,46,
49,61,63,68,73,80,106,114,145,161,164,167,168,170,173,174,185,195,196,231,255,
270,287,300,404,471,530,535,558,567,575,590,626,654,675,897,905,1067,1087,
1154,1215,1551,1610,1653,1913],[1,2,6,9,13,18,29,32,36,37,39,56,65,86,89,103,
137,156,196,233,251,253,267,294,319,335,525,618,678,920,961,1155,1182,1504,
1623,1914],[1,2,4,5,7,10,11,19,21,31,32,36,38,44,46,47,61,63,66,68,75,80,101,
118,138,142,145,149,164,167,170,174,185,195,222,231,240,255,261,321,334,434,
440,484,507,530,535,563,572,626,654,671,683,956,970,1019,1091,1148,1215,1566,
1611,1654,1915],[1,2,4,5,6,10,12,14,15,18,20,21,22,23,25,26,29,30,35,37,39,40,
41,42,43,44,51,61,67,79,88,92,93,95,102,104,109,119,121,126,131,133,139,141,
142,143,153,155,156,165,169,171,175,176,177,188,190,192,198,203,229,230,239,
256,271,323,341,349,355,361,364,369,389,449,474,487,488,489,491,505,518,519,
557,564,571,574,579,583,597,630,639,641,662,795,833,866,917,1090,1105,1118,
1147,1198,1208,1217,1574,1618,1916],[1,2,4,7,10,11,12,13,15,22,24,28,31,36,38,
46,51,61,63,67,68,70,71,72,81,90,96,98,99,103,115,146,164,166,169,170,174,183,
195,199,207,223,229,231,238,255,262,278,279,298,307,343,345,351,357,439,454,
463,526,529,530,541,560,582,586,591,626,634,641,654,657,668,669,676,739,860,
939,1070,1083,1122,1134,1150,1207,1215,1221,1570,1626,1643,1917],[1,2,5,6,7,9,
13,14,18,20,21,25,26,27,28,30,38,41,43,44,52,53,56,60,65,77,78,81,87,102,104,
110,119,123,125,131,132,142,151,152,153,154,159,160,163,172,181,193,200,206,
233,234,242,253,269,308,327,332,348,376,379,390,458,464,488,500,505,521,523,
546,549,618,631,655,661,680,837,838,847,884,1006,1011,1153,1162,1431,1612,
1613,1621,1918],[1,2,3,5,6,7,9,13,14,17,18,20,21,25,26,27,28,30,38,41,47,48,
49,50,56,62,65,69,77,78,81,87,102,104,105,114,118,122,123,124,129,132,134,135,
144,172,178,189,191,210,212,233,234,245,253,259,269,297,308,320,324,327,330,
331,332,336,416,460,486,499,524,618,642,651,656,677,680,682,768,777,778,792,
1153,1174,1238,1612,1622,1627,1919],[1,2,4,10,12,15,22,27,30,32,51,61,67,82,
83,109,160,169,187,196,229,256,290,366,420,452,474,548,641,794,978,1104,1208,
1575,1624,1920],[1,2,4,6,10,11,12,20,24,27,29,31,32,61,68,73,80,85,96,130,161,
168,184,231,241,262,270,275,287,296,300,338,352,360,442,626,675,698,722,786,
857,1154,1159,1240,1610,1639,1921],[1,2,3,5,6,7,9,13,14,17,18,20,21,25,26,27,
28,30,34,38,41,43,45,47,48,49,50,52,59,60,62,69,76,77,81,102,104,105,114,118,
122,123,124,125,130,131,134,135,144,147,151,152,153,159,162,163,172,178,180,
189,191,193,200,202,209,210,212,213,216,219,233,234,253,257,269,286,320,330,
376,379,384,392,417,427,438,447,460,461,472,475,476,486,488,497,500,503,506,
520,521,522,524,599,600,612,631,642,645,651,655,656,682,812,838,839,864,882,
947,1052,1063,1119,1125,1153,1190,1223,1401,1613,1614,1627,1922],[1,2,4,10,11,
12,13,15,22,24,30,31,36,51,61,67,68,70,71,72,78,90,96,98,99,103,109,146,164,
169,199,229,231,238,256,262,272,279,298,307,343,357,383,396,439,454,463,466,
474,582,591,626,634,641,657,676,709,859,939,1070,1150,1192,1203,1208,1507,
1626,1923],[1,2,4,9,11,13,15,22,27,31,32,56,65,71,72,80,85,94,97,99,187,233,
237,265,266,268,289,325,360,368,397,403,618,628,632,643,755,919,962,1173,1189,
1209,1243,1924],[1,2,4,10,11,12,13,15,22,27,32,61,67,72,80,82,83,85,87,89,187,
229,241,260,273,276,403,420,422,641,689,794,1160,1239,1624,1925],[1,2,4,7,10,
12,15,22,27,28,32,46,51,61,63,67,82,83,115,152,169,183,187,196,207,229,255,
305,366,420,453,526,548,641,669,794,952,1104,1207,1572,1624,1926],[1,2,3,5,6,
7,9,13,14,17,18,19,20,21,25,26,27,28,30,33,38,41,44,47,48,49,50,53,55,60,62,
69,75,77,81,102,104,105,110,111,114,118,119,124,129,132,134,135,136,142,144,
150,152,154,159,162,163,172,178,179,181,189,191,204,206,210,212,214,221,222,
233,234,253,254,269,281,320,330,348,382,390,393,413,415,441,460,462,464,475,
486,493,496,499,501,504,505,507,533,544,549,551,598,601,611,620,631,642,651,
656,661,682,847,923,924,953,982,983,1042,1078,1115,1127,1153,1220,1225,1435,
1621,1625,1627,1927],[1,2,4,5,8,11,12,21,24,31,32,44,58,66,68,80,96,138,142,
196,226,228,244,262,303,334,434,471,615,679,835,956,1149,1165,1399,1616,
1928],[1,2,4,5,10,11,19,21,31,32,51,61,66,68,75,80,138,196,199,231,240,256,
261,321,334,463,471,626,683,835,954,1148,1203,1429,1611,1929],[1,2,3,5,6,7,8,
11,14,16,17,19,21,25,26,28,30,33,36,37,38,40,41,44,47,48,49,50,53,54,57,58,66,
74,75,100,101,102,105,107,110,113,118,119,126,127,129,134,136,142,149,150,155,
159,174,179,181,182,189,191,194,201,204,205,206,208,210,211,212,214,215,221,
222,226,235,236,243,244,247,248,252,261,281,282,284,285,382,431,434,440,444,
446,459,462,464,467,468,484,486,493,496,498,501,505,507,510,517,519,533,534,
547,553,562,587,588,594,598,601,609,614,615,622,623,625,629,647,653,663,665,
666,697,702,970,1035,1042,1043,1055,1056,1060,1064,1089,1108,1113,1123,1127,
1152,1165,1170,1172,1175,1180,1181,1194,1214,1224,1581,1609,1637,1638,1650,
1656,1657,1659,1930],[1,2,3,5,6,7,9,11,14,16,17,19,21,25,26,28,30,33,36,37,38,
40,41,44,47,48,49,50,53,55,56,59,60,62,66,74,75,100,101,102,105,107,110,113,
118,119,126,127,129,134,136,142,149,150,155,159,174,179,181,182,189,191,194,
201,204,205,206,208,210,211,212,214,215,221,222,225,237,242,245,246,249,250,
251,254,257,261,281,282,284,285,382,431,434,440,444,446,459,462,464,467,468,
484,486,493,496,498,501,505,507,510,517,519,533,534,547,553,562,587,588,594,
598,601,608,616,617,621,640,644,648,649,650,658,660,664,697,702,970,1035,1042,
1043,1055,1056,1060,1064,1089,1108,1113,1123,1127,1151,1164,1167,1168,1169,
1179,1185,1201,1219,1222,1581,1608,1640,1642,1647,1648,1649,1658,1931],[1,2,3,
5,6,7,9,11,16,17,18,20,23,25,26,28,29,30,34,36,37,38,39,40,41,43,45,47,48,49,
50,52,55,56,59,60,62,73,74,76,91,100,104,106,112,113,114,117,121,122,124,125,
131,135,139,147,153,156,163,173,174,176,180,182,186,189,191,193,194,200,201,
202,203,205,208,209,210,211,212,213,216,218,219,220,232,237,242,245,246,249,
250,251,254,257,264,283,286,370,371,375,378,404,417,418,443,447,449,460,465,
472,476,481,488,492,497,500,503,506,514,515,516,540,542,545,552,562,573,578,
580,588,592,599,600,610,613,619,621,633,635,636,637,648,649,650,658,660,664,
699,848,927,1051,1063,1068,1085,1094,1097,1098,1099,1102,1116,1119,1129,1163,
1171,1176,1177,1183,1184,1186,1188,1191,1210,1213,1222,1573,1628,1633,1634,
1635,1636,1644,1645,1932],[1,2,3,4,5,6,7,9,11,13,15,16,17,20,21,22,27,28,29,
30,31,32,35,36,37,38,41,42,48,50,55,56,59,60,62,65,69,71,72,74,77,78,81,84,86,
87,89,99,100,103,105,116,122,123,124,129,132,137,138,141,144,165,166,168,171,
172,174,175,178,184,187,189,194,195,201,208,233,237,242,245,246,249,250,251,
254,257,259,263,265,294,297,302,320,322,324,327,332,335,336,345,351,356,374,
377,380,383,394,396,400,407,410,414,421,422,424,432,437,499,524,562,570,585,
596,611,612,618,621,631,632,638,642,648,649,650,658,660,664,674,769,777,814,
854,900,904,922,941,965,966,985,996,1014,1023,1162,1166,1173,1174,1178,1182,
1187,1190,1204,1205,1220,1222,1437,1629,1631,1632,1641,1651,1652,1660,1933],[
1,2,4,5,6,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,37,39,40,41,
42,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,93,95,96,98,99,
100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,146,148,155,156,
165,168,171,175,176,177,184,187,192,203,260,262,265,267,269,271,273,274,276,
279,280,285,289,292,295,296,300,301,303,304,307,308,309,310,319,325,328,329,
332,334,335,341,343,352,364,369,370,377,388,389,395,397,398,403,408,409,411,
420,421,422,424,430,439,442,487,489,491,570,577,584,585,597,672,673,676,678,
679,680,681,688,689,693,694,695,708,710,714,722,732,733,742,744,747,748,751,
752,755,756,763,766,774,785,794,795,816,822,834,868,876,922,931,976,980,990,
1025,1030,1057,1229,1230,1239,1247,1258,1265,1284,1296,1299,1300,1308,1313,
1394,1396,1676,1678,1707,1934],[1,2,4,5,6,11,12,13,15,19,20,21,22,24,27,29,31,
32,34,35,37,41,42,65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,
90,91,94,95,96,97,98,99,100,111,120,123,128,130,132,137,138,140,141,146,148,
161,162,165,168,171,175,184,187,260,261,262,264,265,266,268,270,273,274,275,
276,277,279,280,287,289,296,299,300,301,303,307,310,316,318,321,325,328,329,
332,334,335,338,343,352,360,368,369,377,384,387,388,395,397,403,408,411,412,
413,420,421,422,424,426,430,439,442,448,450,470,482,485,512,570,577,584,585,
672,673,675,676,679,681,683,685,687,688,689,691,692,693,694,695,698,700,703,
706,712,715,716,722,730,731,732,734,736,742,743,744,749,750,755,756,763,766,
771,775,776,779,786,813,816,817,819,828,836,857,861,862,863,868,870,874,876,
879,885,886,919,922,958,962,976,980,1001,1010,1025,1030,1057,1229,1231,1232,
1233,1235,1240,1241,1243,1247,1251,1255,1256,1258,1263,1264,1275,1281,1299,
1300,1313,1315,1316,1321,1336,1345,1350,1356,1371,1392,1394,1398,1403,1425,
1468,1516,1518,1519,1536,1676,1682,1685,1708,1718,1801,1935],[1,2,4,5,6,11,12,
13,14,15,16,18,20,21,22,23,24,25,26,27,29,31,32,35,37,39,40,41,42,51,65,66,67,
68,71,72,73,77,79,80,82,83,84,85,86,87,88,89,90,92,93,95,96,98,99,100,102,104,
120,121,123,126,128,132,133,137,138,139,141,143,146,148,155,156,165,168,169,
171,175,176,177,184,187,192,199,203,260,263,265,267,269,271,273,274,276,279,
280,285,291,292,295,300,301,304,307,308,309,310,319,328,329,332,334,335,337,
341,357,364,369,370,377,386,388,389,395,398,403,408,409,411,420,421,422,424,
430,433,439,442,454,463,487,489,491,570,577,584,585,597,672,673,678,680,688,
689,693,694,695,696,708,710,714,733,747,748,751,752,774,783,785,795,816,822,
834,868,922,931,932,939,946,954,984,990,1025,1057,1066,1081,1230,1234,1258,
1262,1265,1284,1296,1308,1314,1365,1382,1395,1396,1678,1692,1711,1936],[1,2,3,
4,5,6,7,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,
37,38,39,40,41,42,46,47,48,49,50,65,66,67,68,69,71,72,73,74,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,92,93,95,96,98,99,100,101,102,103,104,105,106,107,108,
109,112,113,114,115,116,117,118,120,121,122,123,124,126,127,128,129,132,133,
134,135,137,138,139,141,143,144,145,146,148,149,155,156,157,158,164,165,166,
167,168,170,171,172,173,174,175,176,177,178,182,184,185,187,189,191,192,194,
195,201,203,205,208,210,211,212,259,260,263,265,267,269,271,272,273,274,276,
278,279,280,285,288,291,292,293,294,295,297,298,300,301,302,304,306,307,308,
309,310,311,312,313,314,315,317,319,320,322,324,326,327,328,329,330,331,332,
334,335,336,337,339,340,341,345,346,347,350,351,353,354,356,359,362,364,367,
369,370,372,373,374,377,380,381,383,385,388,389,391,394,395,396,398,400,401,
402,403,404,405,406,407,408,409,410,411,414,416,418,420,421,422,424,430,432,
436,437,439,440,442,444,445,457,459,460,467,477,486,487,489,491,499,511,513,
514,517,524,528,529,530,532,535,539,540,542,543,550,558,562,563,565,570,572,
573,577,584,585,587,588,590,592,594,596,597,672,673,674,677,678,680,682,684,
686,688,689,690,693,694,695,696,701,705,707,708,709,710,711,714,717,718,719,
720,721,723,724,725,726,727,729,733,735,737,738,739,741,745,746,747,748,751,
752,753,754,757,758,759,760,762,764,765,767,768,769,770,772,773,774,777,778,
780,781,784,785,787,788,791,792,793,795,799,801,802,804,807,808,810,811,814,
815,816,818,820,822,830,832,834,840,841,843,844,850,854,858,868,869,872,873,
887,889,890,892,895,896,897,899,900,903,904,908,914,922,925,926,931,933,934,
937,938,941,943,944,951,963,965,966,968,969,972,975,977,979,981,985,987,988,
990,993,994,996,997,999,1000,1003,1005,1008,1009,1012,1013,1014,1016,1017,
1019,1020,1022,1023,1025,1026,1028,1031,1051,1053,1056,1057,1074,1111,1117,
1230,1237,1238,1242,1244,1246,1249,1252,1254,1257,1258,1265,1266,1273,1277,
1284,1285,1286,1289,1290,1293,1296,1297,1301,1302,1305,1306,1308,1309,1317,
1319,1328,1329,1331,1334,1337,1347,1349,1351,1353,1354,1361,1369,1373,1383,
1387,1391,1396,1404,1410,1414,1426,1436,1437,1438,1441,1442,1443,1444,1452,
1453,1454,1456,1465,1469,1470,1472,1476,1484,1491,1496,1497,1498,1502,1503,
1509,1512,1513,1514,1522,1547,1552,1678,1681,1703,1704,1730,1733,1748,1755,
1772,1787,1803,1843,1937],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,33,
35,37,41,42,45,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,
98,99,100,120,123,128,132,137,138,141,146,147,148,150,165,168,171,175,184,186,
187,260,262,265,273,274,276,279,280,282,289,296,300,301,303,307,310,325,328,
329,332,334,335,343,352,363,369,371,377,388,392,395,397,403,408,411,415,420,
421,422,423,424,430,439,442,455,456,570,577,584,585,672,673,676,679,681,688,
689,693,694,695,722,732,742,744,755,756,761,763,766,790,816,846,868,876,878,
922,945,967,976,980,998,1025,1030,1057,1069,1095,1229,1236,1247,1250,1258,
1299,1300,1313,1323,1332,1338,1343,1394,1676,1696,1697,1938],[1,2,4,5,6,11,12,
13,15,20,21,22,24,27,29,31,32,35,37,41,42,43,44,65,66,67,68,70,71,72,73,77,79,
80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,138,141,142,
146,148,153,165,168,171,175,184,187,188,196,198,260,262,265,273,274,276,279,
280,289,296,300,301,303,307,310,325,328,329,332,334,335,343,352,355,361,369,
377,379,388,390,395,397,403,408,411,420,421,422,424,430,434,439,442,443,471,
525,548,570,577,579,583,584,585,672,673,676,679,681,688,689,693,694,695,713,
722,732,742,744,755,756,763,766,789,809,816,835,837,868,876,902,905,920,922,
956,976,980,1002,1021,1025,1030,1057,1104,1105,1229,1245,1247,1258,1259,1282,
1288,1299,1300,1313,1324,1335,1346,1394,1399,1524,1529,1553,1676,1683,1710,
1756,1770,1939],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,34,35,
36,37,38,41,42,46,47,49,65,66,67,68,71,72,73,76,77,78,79,80,81,82,83,85,86,87,
88,89,90,91,94,95,96,98,99,100,101,103,106,108,109,113,114,115,118,120,123,
128,130,132,137,138,140,141,145,146,148,149,161,162,164,165,166,167,168,170,
171,172,173,174,175,182,184,185,187,191,195,196,205,211,260,264,265,266,270,
272,273,274,275,276,278,279,280,287,289,293,294,298,299,300,301,303,307,310,
311,312,313,314,316,317,318,321,325,327,328,329,330,331,332,334,335,338,339,
340,345,347,350,351,352,353,354,359,360,367,368,369,372,373,377,381,383,384,
385,387,388,391,395,396,397,402,403,404,405,408,411,412,416,420,421,422,424,
430,436,439,440,442,445,448,471,482,485,512,525,529,530,532,535,548,558,563,
565,567,570,572,575,577,581,584,585,588,589,590,672,673,675,685,686,687,688,
689,690,693,694,695,703,705,706,709,715,717,719,721,724,726,729,730,731,734,
736,737,739,741,742,743,749,750,755,758,764,765,766,768,771,776,779,780,809,
810,813,816,817,819,828,835,836,840,843,857,861,862,863,868,872,874,876,879,
887,889,897,903,904,905,908,919,920,922,925,976,977,979,980,988,993,994,997,
1002,1005,1010,1012,1016,1017,1019,1020,1022,1025,1026,1038,1039,1045,1053,
1057,1067,1073,1082,1087,1104,1110,1137,1235,1244,1249,1254,1255,1256,1258,
1275,1282,1288,1299,1306,1316,1324,1336,1350,1354,1356,1361,1369,1391,1398,
1417,1426,1439,1463,1467,1468,1481,1482,1485,1496,1508,1512,1514,1515,1519,
1520,1551,1559,1683,1685,1704,1761,1771,1789,1818,1839,1940],[1,2,3,4,5,6,7,
11,12,13,15,16,17,19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,46,48,
50,51,52,53,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,95,96,97,98,99,100,103,105,107,108,109,110,111,112,113,115,116,
117,119,120,122,123,124,125,127,128,129,130,131,132,137,138,140,141,144,146,
148,151,152,154,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,
174,175,178,179,180,183,184,187,189,190,194,195,197,199,201,207,208,217,223,
259,260,261,263,264,265,268,272,273,274,275,276,277,278,279,280,281,283,284,
286,287,288,289,290,291,293,294,296,297,298,299,300,301,302,305,306,307,310,
315,316,318,320,321,322,323,324,325,326,327,328,329,332,333,334,335,336,337,
338,340,342,344,345,346,348,349,351,352,356,357,358,360,362,365,366,368,369,
372,374,375,376,377,378,380,382,383,384,386,387,388,391,393,394,395,396,397,
399,400,401,403,406,407,408,410,411,412,413,414,417,418,419,420,421,422,424,
425,426,427,428,429,430,431,432,433,435,437,438,439,441,442,444,446,448,450,
451,452,453,457,458,466,470,474,475,477,478,479,480,482,483,490,494,499,502,
509,511,513,518,521,522,523,524,526,527,528,529,530,531,536,537,538,539,541,
543,546,549,550,551,554,555,556,559,560,562,569,570,577,584,585,586,596,672,
673,674,681,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,699,
700,704,706,709,712,715,716,718,719,723,724,727,728,730,734,736,738,739,740,
742,744,745,749,750,753,754,755,756,757,759,762,763,769,772,773,775,776,777,
781,782,783,786,791,793,796,802,805,806,814,816,818,819,824,826,831,836,854,
856,857,859,860,862,863,865,866,867,868,870,871,873,874,875,877,879,881,885,
886,888,894,898,899,900,901,904,906,909,912,922,923,928,929,930,932,934,935,
936,938,941,944,946,947,948,949,950,952,959,960,962,963,964,965,966,968,972,
973,978,980,985,991,992,996,1001,1004,1006,1007,1008,1010,1014,1015,1018,1023,
1025,1028,1029,1030,1041,1046,1047,1048,1050,1054,1057,1062,1075,1079,1086,
1088,1100,1106,1107,1111,1120,1121,1126,1130,1232,1233,1237,1246,1248,1249,
1251,1252,1256,1257,1258,1260,1263,1264,1266,1268,1270,1275,1278,1292,1293,
1294,1295,1303,1311,1320,1321,1322,1326,1329,1337,1345,1352,1353,1358,1364,
1365,1367,1371,1376,1377,1378,1386,1393,1394,1397,1412,1415,1416,1419,1425,
1434,1437,1451,1452,1456,1460,1462,1473,1480,1490,1497,1516,1517,1519,1526,
1530,1531,1537,1545,1549,1554,1558,1563,1564,1584,1587,1675,1684,1686,1687,
1693,1703,1708,1712,1739,1767,1778,1784,1798,1805,1817,1828,1849,1941],[1,2,3,
4,5,6,7,11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,
48,50,51,65,66,67,68,69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,95,96,98,99,100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,
127,128,129,132,137,138,141,144,146,148,157,158,164,165,166,168,169,170,171,
172,174,175,178,183,184,187,189,194,195,199,201,207,208,223,259,260,262,263,
265,272,273,274,276,278,279,280,288,289,291,293,294,296,297,298,300,301,302,
303,306,307,310,315,320,322,324,325,326,327,328,329,332,334,335,336,337,340,
343,345,346,351,352,356,357,362,369,372,374,377,380,383,386,388,391,394,395,
396,397,400,401,403,406,407,408,410,411,414,418,420,421,422,424,430,432,433,
437,439,442,444,454,457,463,466,474,477,499,511,513,524,526,528,529,530,539,
541,543,550,560,562,570,577,582,584,585,586,591,596,672,673,674,676,679,681,
684,686,688,689,690,693,694,695,696,709,718,719,722,723,724,727,732,738,739,
742,744,745,753,754,755,756,757,759,762,763,766,769,772,773,777,781,783,791,
793,802,814,816,818,854,859,860,868,873,876,899,900,904,922,928,932,934,938,
939,941,944,946,963,964,965,966,968,972,973,976,980,985,992,996,1008,1014,
1018,1023,1025,1028,1029,1030,1041,1057,1070,1081,1083,1111,1122,1134,1229,
1234,1237,1246,1247,1249,1252,1257,1258,1262,1266,1293,1299,1300,1311,1312,
1313,1327,1329,1337,1353,1359,1365,1382,1386,1394,1397,1415,1437,1452,1456,
1497,1507,1517,1530,1545,1570,1674,1676,1694,1698,1700,1703,1711,1716,1721,
1774,1784,1942],[1,2,4,5,6,7,11,12,13,15,16,20,21,22,24,27,28,29,30,31,32,35,
36,37,38,41,42,46,47,49,51,65,66,67,68,71,72,73,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,95,96,98,99,100,101,103,106,108,109,113,114,115,118,120,123,128,
132,137,138,141,145,146,148,149,164,165,166,167,168,169,170,171,172,173,174,
175,182,184,185,187,191,195,199,205,211,260,263,265,272,273,274,276,278,279,
280,289,291,293,294,296,298,300,301,303,304,307,308,309,310,311,312,313,314,
317,319,325,327,328,329,330,331,332,334,335,337,339,340,345,347,350,351,352,
353,354,357,359,367,369,372,373,377,381,383,385,386,388,391,395,396,397,398,
402,403,404,405,408,409,411,416,420,421,422,424,430,433,436,439,440,442,445,
454,463,529,530,532,535,558,563,565,570,572,577,584,585,588,590,672,673,686,
688,689,690,693,694,695,696,705,709,717,719,721,724,726,729,732,733,737,739,
741,755,758,764,765,768,780,783,785,794,810,816,834,840,843,868,872,887,889,
897,903,904,908,922,925,928,931,932,939,946,976,977,979,988,992,993,994,997,
1005,1012,1016,1017,1019,1020,1022,1025,1026,1030,1053,1057,1081,1114,1124,
1234,1239,1244,1247,1249,1254,1258,1262,1265,1306,1327,1354,1361,1365,1369,
1382,1391,1397,1411,1426,1495,1496,1512,1514,1694,1704,1707,1711,1796,1943],[
1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,
41,42,46,48,50,51,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,94,95,96,98,99,100,103,105,107,108,109,112,113,115,116,117,120,
122,123,124,127,128,129,130,132,137,138,140,141,144,146,148,157,158,161,162,
164,165,166,168,169,170,171,172,174,175,178,184,187,189,194,195,199,201,208,
217,259,260,263,264,265,266,270,272,273,274,275,276,278,279,280,287,288,289,
291,293,294,297,298,299,300,301,302,303,306,307,310,315,316,318,320,321,322,
324,325,326,327,328,329,332,334,335,336,337,338,340,345,346,351,352,356,357,
360,362,368,369,372,374,377,380,383,384,386,387,388,391,394,395,396,397,400,
401,403,406,407,408,410,411,412,414,418,420,421,422,424,430,432,433,437,439,
442,444,448,452,453,457,477,479,482,485,499,511,512,513,518,524,528,529,530,
539,543,550,562,570,577,582,584,585,591,596,672,673,674,675,684,685,686,687,
688,689,690,693,694,695,696,703,706,709,715,718,719,723,724,727,730,731,734,
736,738,739,742,743,745,749,750,753,754,755,757,759,762,766,769,771,772,773,
776,777,779,781,783,791,793,802,805,813,814,816,817,818,819,821,828,831,836,
854,857,861,862,863,868,873,874,876,879,881,899,900,904,906,919,922,934,938,
941,944,960,961,963,965,966,968,972,973,976,980,985,991,996,1004,1008,1010,
1014,1015,1023,1025,1028,1029,1057,1070,1079,1081,1111,1235,1237,1246,1249,
1252,1253,1255,1256,1257,1258,1261,1266,1267,1269,1275,1293,1295,1299,1303,
1310,1311,1312,1316,1326,1327,1329,1336,1337,1350,1353,1356,1382,1398,1434,
1437,1440,1451,1452,1456,1462,1468,1473,1497,1519,1569,1677,1685,1699,1701,
1702,1703,1706,1719,1774,1795,1798,1944],[1,2,4,5,6,11,12,13,15,16,20,21,22,
24,27,29,31,32,35,37,41,42,43,44,45,51,65,66,67,68,71,72,73,77,79,80,82,83,84,
85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,138,141,142,146,147,148,
153,165,168,169,171,175,184,186,187,188,198,199,260,263,265,273,274,276,279,
280,291,300,301,307,310,328,329,332,334,335,337,355,357,361,369,371,377,379,
386,388,390,392,395,403,408,411,420,421,422,423,424,430,433,434,439,442,443,
454,455,456,463,570,577,579,583,584,585,672,673,688,689,693,694,695,696,713,
783,789,790,816,837,868,878,902,922,932,939,945,946,956,998,1021,1025,1057,
1081,1095,1105,1234,1245,1250,1258,1259,1262,1323,1335,1338,1346,1365,1382,
1696,1710,1711,1945],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,
35,37,38,41,42,45,46,51,52,53,65,66,67,68,71,72,73,77,78,79,80,81,82,83,85,86,
87,88,89,90,95,96,98,99,100,108,109,110,113,115,119,120,123,125,128,131,132,
137,138,141,146,147,148,151,152,154,159,160,163,165,168,169,170,171,172,175,
183,184,186,187,190,197,199,207,217,223,260,265,272,273,274,276,278,279,280,
290,300,301,305,307,310,323,327,328,329,332,333,334,335,340,348,349,357,365,
366,369,371,372,376,377,378,386,388,391,392,395,399,403,408,411,420,421,422,
423,424,428,430,431,433,435,439,442,452,453,454,455,456,458,463,466,474,478,
479,490,494,502,518,521,523,526,541,546,549,554,559,560,569,570,577,584,585,
586,672,673,686,688,689,693,694,695,704,728,740,782,783,790,805,806,816,824,
826,831,859,860,866,867,868,878,881,888,901,909,922,935,936,939,945,952,954,
964,978,984,991,998,1006,1007,1018,1025,1041,1046,1048,1050,1054,1057,1066,
1079,1095,1106,1248,1250,1258,1260,1262,1278,1303,1314,1320,1323,1338,1358,
1376,1386,1395,1576,1584,1586,1587,1684,1692,1696,1847,1946],[1,2,3,4,5,6,7,
11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,48,50,51,
65,66,67,68,69,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,
99,100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,127,128,129,
132,137,138,141,144,146,148,157,158,164,165,166,168,169,170,171,172,174,175,
178,184,187,189,194,195,199,201,208,259,260,263,265,272,273,274,276,278,279,
280,288,289,291,293,294,296,297,298,300,301,302,303,304,306,307,308,309,310,
315,319,320,322,324,325,326,327,328,329,332,334,335,336,337,340,345,346,351,
352,356,357,362,369,372,374,377,380,383,386,388,391,394,395,396,397,398,400,
401,403,406,407,408,409,410,411,414,418,420,421,422,424,430,432,433,437,439,
442,444,454,457,463,477,499,511,513,524,528,529,530,539,543,550,562,570,577,
584,585,596,672,673,674,684,686,688,689,690,693,694,695,696,709,718,719,723,
724,727,732,733,738,739,745,753,754,755,757,759,762,769,772,773,777,781,783,
785,791,793,794,802,814,816,818,834,854,868,873,899,900,904,922,931,934,938,
939,941,944,954,963,965,966,968,972,973,976,984,985,996,1008,1014,1023,1025,
1028,1029,1030,1057,1066,1111,1114,1124,1237,1239,1246,1247,1249,1252,1257,
1258,1262,1265,1266,1293,1311,1314,1329,1337,1353,1359,1395,1411,1437,1452,
1456,1495,1497,1692,1700,1703,1707,1796,1947],[1,2,4,5,6,11,12,13,15,19,20,21,
22,24,27,29,31,32,34,35,37,41,42,51,65,66,67,68,71,72,73,75,76,77,79,80,82,83,
85,86,87,88,89,90,91,95,96,97,98,99,100,111,120,123,128,130,132,137,138,140,
141,146,148,161,162,165,168,169,171,175,184,187,196,199,260,261,264,265,268,
273,274,275,276,277,279,280,287,289,296,299,300,301,307,310,316,318,321,325,
328,329,332,334,335,338,352,357,360,368,369,377,384,386,387,388,395,397,403,
408,411,412,413,420,421,422,424,426,430,433,439,442,448,450,454,463,470,471,
482,525,548,570,577,584,585,672,673,681,683,685,687,688,689,691,692,693,694,
695,700,706,712,715,716,730,734,736,742,744,749,750,755,756,763,775,776,783,
786,809,816,819,835,836,857,862,863,868,870,874,879,885,886,905,920,922,939,
954,962,980,984,1001,1002,1010,1025,1030,1057,1066,1104,1232,1233,1251,1256,
1258,1262,1263,1264,1275,1282,1288,1314,1321,1324,1345,1371,1394,1395,1425,
1429,1455,1458,1516,1519,1538,1683,1692,1708,1729,1811,1948],[1,2,4,5,6,7,11,
12,13,15,20,21,22,24,27,28,29,30,31,32,35,37,38,41,42,46,51,52,53,65,66,67,68,
71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,95,96,98,99,100,108,109,110,
113,115,119,120,123,125,128,131,132,137,138,141,146,148,151,152,154,159,160,
163,165,168,169,170,171,172,175,183,184,187,190,196,197,199,207,217,223,260,
265,272,273,274,276,278,279,280,289,290,296,300,301,303,304,305,307,308,309,
310,319,323,325,327,328,329,332,333,334,335,340,348,349,352,357,365,366,369,
372,376,377,378,386,388,391,395,397,398,399,403,408,409,411,420,421,422,424,
428,430,431,433,435,439,442,452,453,458,466,471,474,478,479,490,494,502,518,
521,523,525,526,541,546,548,549,554,559,560,569,570,577,584,585,586,672,673,
686,688,689,693,694,695,704,728,732,733,740,755,782,783,785,794,805,806,809,
816,824,826,831,834,835,859,860,866,867,868,881,888,901,905,909,920,922,931,
935,936,952,964,976,978,991,1002,1006,1007,1018,1025,1030,1041,1046,1048,1050,
1054,1057,1079,1104,1106,1239,1247,1248,1258,1260,1265,1278,1282,1288,1303,
1320,1324,1358,1376,1386,1572,1575,1584,1587,1683,1684,1707,1846,1949],[1,2,4,
5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,33,35,36,37,38,41,42,45,46,47,
49,51,52,53,65,66,67,68,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,95,96,
98,99,100,101,103,106,108,109,110,113,114,115,118,119,120,123,125,128,131,132,
137,138,141,145,146,147,148,149,150,151,152,154,159,160,163,164,165,166,167,
168,169,170,171,172,173,174,175,182,183,184,185,186,187,190,191,195,197,199,
205,207,211,216,217,221,223,260,265,272,273,274,276,278,279,280,282,290,293,
294,298,300,301,305,307,310,311,312,313,314,317,323,327,328,329,330,331,332,
333,334,335,339,340,345,347,348,349,350,351,353,354,357,359,363,365,366,367,
369,371,372,373,376,377,378,381,383,385,386,388,391,392,395,396,399,402,403,
404,405,408,411,415,416,420,421,422,423,424,428,430,431,433,435,436,439,440,
442,445,452,453,455,456,458,466,474,478,479,490,492,494,496,497,498,502,506,
510,515,518,521,523,526,529,530,532,533,535,541,546,549,554,558,559,560,563,
565,569,570,572,577,584,585,586,588,590,672,673,686,688,689,690,693,694,695,
704,705,709,717,719,721,724,726,728,729,737,739,740,741,758,761,764,765,768,
780,782,783,790,805,806,810,816,824,826,827,831,839,840,843,845,846,849,853,
855,859,860,866,867,868,872,881,887,888,889,891,897,901,903,904,908,909,915,
922,925,935,936,940,952,964,967,974,977,978,979,983,988,989,991,993,994,997,
998,1005,1006,1007,1012,1016,1017,1018,1019,1020,1022,1025,1026,1032,1041,
1046,1048,1050,1053,1054,1057,1069,1077,1079,1089,1102,1106,1236,1244,1248,
1249,1250,1254,1258,1260,1271,1276,1278,1303,1306,1320,1332,1339,1341,1343,
1348,1354,1358,1361,1369,1374,1376,1379,1381,1386,1391,1405,1426,1496,1512,
1514,1532,1542,1544,1577,1583,1584,1587,1684,1697,1704,1759,1779,1788,1791,
1804,1814,1950],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,33,34,35,37,41,
42,45,65,66,67,68,71,72,73,76,77,79,80,82,83,85,86,87,88,89,90,91,94,95,96,98,
99,100,120,123,128,130,132,137,138,140,141,146,147,148,150,161,162,165,168,
171,175,184,186,187,260,264,265,266,270,273,274,275,276,279,280,282,287,289,
296,299,300,301,303,304,307,308,309,310,316,318,319,321,325,328,329,332,334,
335,338,352,360,363,368,369,371,377,384,387,388,392,395,397,398,403,408,409,
411,412,415,420,421,422,423,424,430,439,442,448,455,456,482,485,512,570,577,
584,585,672,673,675,685,687,688,689,693,694,695,703,706,715,730,731,732,733,
734,736,742,743,749,750,755,761,766,771,776,779,785,790,794,813,816,817,819,
828,834,836,846,857,861,862,863,868,874,876,879,911,913,919,922,931,967,976,
980,998,1010,1025,1030,1034,1040,1057,1069,1235,1236,1239,1247,1250,1255,1256,
1258,1265,1275,1299,1316,1332,1336,1343,1350,1356,1362,1366,1398,1466,1468,
1519,1541,1685,1690,1697,1707,1731,1951],[1,2,4,5,6,11,12,13,14,15,18,19,20,
21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,65,66,67,68,71,72,73,
75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100,102,104,
111,120,121,123,126,128,130,132,133,136,137,138,139,140,141,143,146,147,148,
150,155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,203,204,209,
218,260,261,264,265,267,268,269,271,273,274,275,276,277,279,280,282,285,287,
289,292,295,296,299,300,301,304,307,308,309,310,316,318,319,321,325,328,329,
332,334,335,338,341,352,360,363,364,368,369,370,371,377,384,387,388,389,392,
395,397,398,403,408,409,411,412,413,415,420,421,422,423,424,426,430,439,442,
448,450,455,456,461,462,470,472,473,481,482,487,489,491,504,508,553,561,570,
577,578,580,584,585,593,597,672,673,678,680,681,683,685,687,688,689,691,692,
693,694,695,700,702,706,708,710,712,714,715,716,730,733,734,736,742,744,747,
748,749,750,751,752,755,756,761,763,774,775,776,785,786,790,795,797,812,816,
819,822,823,825,834,836,846,851,857,862,863,868,870,874,879,885,886,911,913,
922,927,931,953,955,962,967,980,986,990,998,1001,1010,1025,1030,1033,1036,
1057,1069,1076,1092,1103,1132,1230,1232,1233,1236,1250,1251,1256,1258,1263,
1264,1265,1275,1283,1284,1296,1298,1304,1308,1321,1330,1332,1343,1345,1355,
1362,1366,1371,1385,1394,1396,1402,1425,1428,1450,1492,1516,1519,1539,1562,
1678,1679,1690,1695,1697,1705,1708,1724,1725,1738,1792,1952],[1,2,4,5,6,11,12,
13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,34,35,37,39,40,41,42,45,65,66,67,
68,71,72,73,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100,
102,104,120,121,123,126,128,130,132,133,137,138,139,140,141,143,146,147,148,
155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,203,209,218,260,
264,265,266,267,269,270,271,273,274,275,276,279,280,285,287,289,292,295,299,
300,301,303,304,307,308,309,310,316,318,319,321,325,328,329,332,334,335,338,
341,352,360,364,368,369,370,371,377,384,387,388,389,392,395,397,398,403,408,
409,411,412,420,421,422,423,424,430,439,442,448,455,456,461,472,473,481,482,
485,487,489,491,512,561,570,577,578,580,584,585,593,597,672,673,675,678,680,
685,687,688,689,693,694,695,703,706,708,710,714,715,730,731,733,734,736,742,
743,747,748,749,750,751,752,755,766,771,774,776,779,785,790,795,797,812,813,
816,817,819,822,828,834,836,857,861,862,863,868,874,876,878,879,919,922,927,
931,945,976,980,986,990,998,1010,1025,1033,1034,1036,1040,1057,1092,1095,1103,
1132,1230,1235,1250,1255,1256,1258,1265,1275,1284,1296,1299,1308,1316,1323,
1330,1336,1338,1350,1355,1356,1396,1398,1400,1420,1466,1468,1510,1519,1539,
1541,1562,1565,1678,1685,1696,1705,1715,1731,1754,1826,1953],[1,2,4,5,6,11,12,
13,15,19,20,21,22,24,27,29,31,32,34,35,37,41,42,45,65,66,67,68,71,72,73,75,76,
77,79,80,82,83,85,86,87,88,89,90,91,95,96,97,98,99,100,111,120,123,128,130,
132,137,138,140,141,146,147,148,161,162,165,168,171,175,184,186,187,260,261,
264,265,268,273,274,275,276,277,279,280,287,289,296,299,300,301,303,304,307,
308,309,310,316,318,319,321,325,328,329,332,334,335,338,352,360,368,369,371,
377,384,387,388,392,395,397,398,403,408,409,411,412,413,420,421,422,423,424,
426,430,439,442,448,450,455,456,470,482,570,577,584,585,672,673,681,683,685,
687,688,689,691,692,693,694,695,700,706,712,715,716,730,732,733,734,736,742,
744,749,750,755,756,763,775,776,785,786,790,794,816,819,823,834,836,857,862,
863,868,870,874,878,879,885,886,922,931,945,955,962,976,980,998,1001,1010,
1025,1030,1034,1040,1057,1095,1232,1233,1239,1247,1250,1251,1256,1258,1263,
1264,1265,1275,1304,1321,1323,1338,1345,1371,1385,1394,1425,1466,1516,1519,
1541,1695,1696,1707,1708,1731,1954],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,
28,29,30,31,32,35,36,37,38,41,42,46,47,49,51,65,66,67,68,70,71,72,73,77,78,79,
80,81,82,83,85,86,87,88,89,90,95,96,98,99,100,101,103,106,108,109,113,114,115,
118,120,123,128,132,137,138,141,145,146,148,149,164,165,166,167,168,169,170,
171,172,173,174,175,182,183,184,185,187,191,195,199,205,207,211,223,260,262,
265,272,273,274,276,278,279,280,289,293,294,296,298,300,301,303,307,310,311,
312,313,314,317,325,327,328,329,330,331,332,334,335,339,340,343,345,347,350,
351,352,353,354,357,359,367,369,372,373,377,381,383,385,386,388,391,395,396,
397,402,403,404,405,408,411,416,420,421,422,424,430,433,436,439,440,442,445,
454,463,466,474,526,529,530,532,535,541,558,560,563,565,570,572,577,582,584,
585,586,588,590,591,672,673,676,679,681,686,688,689,690,693,694,695,705,709,
717,719,721,722,724,726,729,732,737,739,741,742,744,755,756,758,763,764,765,
766,768,780,783,810,816,840,843,859,860,868,872,876,887,889,897,903,904,908,
922,925,939,954,964,976,977,979,980,984,988,993,994,997,1005,1012,1016,1017,
1018,1019,1020,1022,1025,1026,1030,1041,1053,1057,1066,1070,1083,1114,1122,
1124,1134,1229,1244,1247,1249,1254,1258,1262,1299,1300,1306,1312,1313,1314,
1354,1361,1369,1386,1391,1394,1395,1411,1426,1483,1488,1495,1496,1507,1512,
1514,1560,1570,1571,1676,1692,1698,1704,1723,1794,1796,1836,1955],[1,2,4,5,6,
11,12,13,15,16,20,21,22,24,27,29,31,32,33,35,37,41,42,45,51,65,66,67,68,71,72,
73,77,79,80,82,83,84,85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,
138,141,146,147,148,150,165,168,169,171,175,184,186,187,196,199,260,263,265,
273,274,276,279,280,282,291,300,301,307,310,328,329,332,334,335,337,357,363,
369,371,377,386,388,392,395,403,408,411,415,420,421,422,423,424,430,433,439,
442,454,455,456,463,471,525,548,570,577,584,585,672,673,688,689,693,694,695,
696,761,783,790,809,816,835,846,868,905,920,922,932,939,946,967,998,1002,1025,
1057,1069,1081,1104,1234,1236,1250,1258,1262,1282,1288,1324,1332,1343,1365,
1382,1683,1697,1711,1956],[1,2,4,5,6,7,11,12,13,15,19,20,21,22,24,27,28,29,30,
31,32,34,35,36,37,38,41,42,43,44,46,47,49,65,66,67,68,71,72,73,75,76,77,78,79,
80,81,82,83,85,86,87,88,89,90,91,95,96,97,98,99,100,101,103,106,108,109,111,
113,114,115,118,120,123,128,130,132,137,138,140,141,142,145,146,148,149,153,
161,162,164,165,166,167,168,170,171,172,173,174,175,182,184,185,187,188,191,
195,198,205,211,213,222,260,261,264,265,268,272,273,274,275,276,277,278,279,
280,287,289,293,294,296,298,299,300,301,307,310,311,312,313,314,316,317,318,
321,325,327,328,329,330,331,332,334,335,338,339,340,345,347,350,351,352,353,
354,355,359,360,361,367,368,369,372,373,377,379,381,383,384,385,387,388,390,
391,395,396,397,402,403,404,405,408,411,412,413,416,420,421,422,424,426,430,
434,436,439,440,442,443,445,448,450,469,470,482,484,495,503,507,520,529,530,
532,535,544,545,558,563,565,570,572,577,579,583,584,585,588,590,672,673,681,
683,685,686,687,688,689,690,691,692,693,694,695,700,705,706,709,712,713,715,
716,717,719,721,724,726,729,730,734,736,737,739,741,742,744,749,750,755,756,
758,763,764,765,768,775,776,780,786,789,800,803,810,816,819,829,836,837,840,
843,848,857,862,863,864,868,870,872,874,879,880,885,886,887,889,893,897,902,
903,904,908,922,925,942,956,957,962,970,977,979,980,982,988,993,994,995,997,
1001,1005,1010,1012,1016,1017,1019,1020,1021,1022,1025,1026,1030,1049,1053,
1057,1061,1065,1091,1105,1232,1233,1244,1245,1249,1251,1254,1256,1258,1259,
1263,1264,1272,1274,1275,1279,1291,1306,1307,1321,1333,1335,1344,1345,1346,
1354,1361,1369,1370,1371,1391,1394,1425,1426,1432,1445,1457,1461,1496,1511,
1512,1514,1516,1519,1523,1556,1566,1688,1689,1691,1704,1708,1709,1710,1734,
1783,1807,1816,1957],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,24,27,28,29,30,
31,32,35,36,37,38,41,42,45,46,48,50,65,66,67,68,69,71,72,73,74,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,95,96,98,99,100,103,105,107,108,109,112,113,115,
116,117,120,122,123,124,127,128,129,132,137,138,141,144,146,147,148,157,158,
164,165,166,168,170,171,172,174,175,178,184,186,187,189,194,195,196,201,208,
259,260,263,265,272,273,274,276,278,279,280,288,291,293,294,297,298,300,301,
302,306,307,310,315,320,322,324,326,327,328,329,332,334,335,336,337,340,345,
346,351,356,362,369,371,372,374,377,380,383,388,391,392,394,395,396,400,401,
403,406,407,408,410,411,414,418,420,421,422,423,424,430,432,437,439,442,444,
455,456,457,471,477,499,511,513,524,525,528,529,530,539,543,548,550,562,570,
577,584,585,596,672,673,674,684,686,688,689,690,693,694,695,696,709,718,719,
723,724,727,738,739,745,753,754,757,759,762,769,772,773,777,781,790,791,793,
802,809,814,816,818,835,854,868,873,878,899,900,904,905,920,922,934,938,941,
944,945,963,965,966,968,972,985,996,998,1002,1008,1014,1023,1025,1028,1057,
1095,1104,1111,1237,1246,1249,1250,1252,1257,1258,1266,1282,1288,1293,1323,
1324,1329,1337,1338,1353,1433,1437,1448,1452,1456,1475,1486,1497,1683,1696,
1703,1757,1800,1958],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,35,36,37,
41,42,43,44,51,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,
99,100,103,120,123,128,132,137,138,141,142,146,148,153,164,165,168,169,171,
175,184,187,188,198,199,260,265,273,274,276,279,280,289,293,294,296,298,300,
301,303,304,307,308,309,310,319,325,328,329,332,334,335,352,355,357,361,369,
377,379,386,388,390,395,397,398,403,408,409,411,420,421,422,424,430,433,434,
439,442,443,570,577,579,582,583,584,585,591,672,673,688,689,690,693,694,695,
713,732,733,755,783,785,789,794,816,821,834,837,868,902,906,922,931,956,961,
976,1004,1021,1025,1030,1057,1070,1105,1239,1245,1247,1253,1258,1259,1261,
1265,1312,1326,1335,1346,1706,1707,1710,1959],[1,2,4,5,6,11,12,13,15,16,19,20,
21,22,24,27,29,31,32,34,35,36,37,41,42,51,65,66,67,68,71,72,73,75,76,77,79,80,
82,83,84,85,86,87,88,89,90,91,95,96,97,98,99,100,103,111,120,123,128,130,132,
137,138,140,141,146,148,161,162,164,165,168,169,171,175,184,187,190,194,199,
260,261,263,264,265,268,273,274,275,276,277,279,280,287,289,291,293,294,296,
298,299,300,301,307,310,316,318,321,325,328,329,332,334,335,337,338,349,352,
357,360,365,366,368,369,374,377,380,384,386,387,388,395,397,399,400,403,408,
411,412,413,420,421,422,424,426,430,432,433,439,442,448,450,454,463,470,482,
570,577,582,584,585,591,672,673,681,683,685,687,688,689,690,691,692,693,694,
695,696,700,706,712,715,716,728,730,734,736,742,744,749,750,754,755,756,763,
775,776,781,782,783,786,816,819,821,836,857,862,863,868,870,874,879,885,886,
900,906,922,932,939,946,961,962,963,980,1001,1004,1010,1025,1030,1050,1057,
1070,1081,1232,1233,1234,1251,1253,1256,1257,1258,1260,1261,1262,1263,1264,
1275,1292,1310,1312,1321,1326,1327,1345,1352,1359,1365,1371,1382,1388,1394,
1425,1516,1519,1526,1693,1706,1708,1711,1719,1721,1727,1728,1799,1960],[1,2,4,
5,6,7,11,12,13,14,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,37,38,39,40,
41,42,43,44,46,51,52,53,65,66,67,68,71,72,73,77,78,79,80,81,82,83,85,86,87,88,
89,90,92,93,95,96,98,99,100,102,104,108,109,110,113,115,119,120,121,123,125,
126,128,131,132,133,137,138,139,141,142,143,146,148,151,152,153,154,155,156,
159,160,163,165,168,169,170,171,172,175,176,177,181,183,184,187,188,190,192,
193,197,198,199,200,203,206,207,215,217,220,223,260,265,267,269,271,272,273,
274,276,278,279,280,285,290,292,295,300,301,304,305,307,308,309,310,319,323,
327,328,329,332,333,334,335,340,341,348,349,355,357,361,364,365,366,369,370,
372,376,377,378,379,386,388,389,390,391,395,398,399,403,408,409,411,420,421,
422,424,428,430,431,433,434,435,439,442,443,449,452,453,458,464,466,468,474,
478,479,487,488,489,490,491,494,500,502,505,516,518,519,521,523,526,541,546,
549,554,557,559,560,564,566,568,569,570,571,574,576,577,579,583,584,585,586,
595,597,672,673,678,680,686,688,689,693,694,695,704,708,710,713,714,728,733,
740,747,748,751,752,774,782,783,785,789,795,798,805,806,816,822,824,826,831,
833,834,837,838,847,859,860,866,867,868,881,884,888,901,902,909,910,916,917,
918,922,931,935,936,952,956,964,978,990,991,1006,1007,1011,1018,1021,1024,
1025,1027,1041,1046,1048,1050,1054,1057,1064,1068,1079,1090,1105,1106,1118,
1131,1133,1135,1136,1230,1245,1248,1258,1259,1260,1265,1278,1280,1284,1287,
1296,1303,1308,1318,1320,1335,1346,1357,1358,1360,1363,1376,1380,1386,1389,
1396,1409,1431,1493,1527,1574,1580,1584,1587,1678,1684,1710,1713,1742,1751,
1752,1758,1777,1961],[1,2,4,5,6,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,
31,32,35,36,37,39,40,41,42,51,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,
89,90,92,93,95,96,98,99,100,102,103,104,120,121,123,126,128,132,133,137,138,
139,141,143,146,148,155,156,164,165,168,169,171,175,176,177,184,187,192,196,
199,203,260,265,267,269,271,273,274,276,279,280,285,292,293,294,295,298,300,
301,304,307,308,309,310,319,328,329,332,334,335,341,357,364,369,370,377,386,
388,389,395,398,403,408,409,411,420,421,422,424,430,433,439,442,471,487,489,
491,525,548,570,577,582,584,585,591,597,672,673,678,680,688,689,690,693,694,
695,708,710,714,733,747,748,751,752,774,783,785,795,809,816,821,822,834,835,
868,905,906,920,922,931,961,990,1002,1004,1025,1057,1070,1104,1230,1253,1258,
1261,1265,1282,1284,1288,1296,1308,1312,1324,1326,1396,1489,1504,1533,1567,
1678,1683,1706,1720,1763,1962],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,
30,31,32,35,36,37,38,41,42,45,46,47,49,51,65,66,67,68,71,72,73,77,78,79,80,81,
82,83,85,86,87,88,89,90,95,96,98,99,100,101,103,106,108,109,113,114,115,118,
120,123,128,132,137,138,141,145,146,147,148,149,164,165,166,167,168,169,170,
171,172,173,174,175,182,184,185,186,187,191,195,199,205,211,260,265,272,273,
274,276,278,279,280,293,294,298,300,301,307,310,311,312,313,314,317,327,328,
329,330,331,332,334,335,339,340,345,347,350,351,353,354,357,359,367,369,371,
372,373,377,381,383,385,386,388,391,392,395,396,402,403,404,405,408,411,416,
420,421,422,423,424,430,433,436,439,440,442,445,455,456,529,530,532,535,558,
563,565,570,572,577,582,584,585,588,590,591,672,673,686,688,689,690,693,694,
695,705,709,717,719,721,724,726,729,737,739,741,758,764,765,768,780,783,790,
810,816,821,840,843,868,872,878,887,889,897,903,904,906,908,922,925,945,961,
977,979,988,993,994,997,998,1004,1005,1012,1016,1017,1019,1020,1022,1025,1026,
1053,1057,1070,1095,1244,1249,1250,1253,1254,1258,1261,1306,1312,1323,1326,
1338,1354,1361,1369,1391,1426,1447,1464,1487,1496,1512,1514,1525,1696,1704,
1706,1746,1775,1963],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,24,27,28,29,30,
31,32,33,35,36,37,38,41,42,43,44,45,46,48,50,65,66,67,68,69,71,72,73,74,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,99,100,103,105,107,108,109,112,
113,115,116,117,120,122,123,124,127,128,129,132,137,138,141,142,144,146,147,
148,150,153,157,158,164,165,166,168,170,171,172,174,175,178,184,186,187,188,
189,194,195,198,201,208,214,219,259,260,263,265,272,273,274,276,278,279,280,
282,288,291,293,294,297,298,300,301,302,306,307,310,315,320,322,324,326,327,
328,329,332,334,335,336,337,340,345,346,351,355,356,361,362,363,369,371,372,
374,377,379,380,383,388,390,391,392,394,395,396,400,401,403,406,407,408,410,
411,414,415,418,420,421,422,423,424,430,432,434,437,439,442,443,444,447,455,
456,457,465,476,477,493,499,501,511,513,524,528,529,530,534,539,543,547,550,
552,562,570,577,579,583,584,585,596,672,673,674,684,686,688,689,690,693,694,
695,696,709,713,718,719,723,724,727,738,739,745,753,754,757,759,761,762,769,
772,773,777,781,789,790,791,793,802,814,816,818,837,842,846,852,854,868,873,
882,883,899,900,902,904,907,921,922,924,934,938,941,944,956,963,965,966,967,
968,971,972,985,996,998,1008,1014,1021,1023,1025,1028,1035,1057,1058,1059,
1069,1094,1105,1111,1236,1237,1245,1246,1249,1250,1252,1257,1258,1259,1266,
1293,1325,1329,1332,1335,1337,1340,1342,1343,1346,1353,1368,1372,1375,1384,
1390,1437,1452,1456,1497,1534,1550,1555,1561,1697,1703,1710,1743,1745,1747,
1765,1769,1813,1964],[1,2,4,5,6,7,11,12,13,15,16,20,21,22,24,27,28,29,30,31,
32,34,35,37,38,41,42,46,51,52,53,65,66,67,68,71,72,73,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,94,95,96,98,99,100,108,109,110,113,115,119,120,123,
125,128,130,131,132,137,138,140,141,146,148,151,152,154,159,160,161,162,163,
165,168,169,170,171,172,175,183,184,187,190,197,199,207,208,217,223,260,263,
264,265,266,270,272,273,274,275,276,278,279,280,287,289,290,291,299,300,301,
303,305,307,310,316,318,321,323,325,327,328,329,332,333,334,335,337,338,340,
348,349,352,357,360,365,366,368,369,372,376,377,378,384,386,387,388,391,394,
395,397,399,403,407,408,410,411,412,420,421,422,424,428,430,431,433,435,437,
439,442,448,452,453,454,458,463,466,474,478,479,482,485,490,494,502,512,518,
521,523,526,541,546,549,554,559,560,569,570,577,584,585,586,672,673,675,685,
686,687,688,689,693,694,695,696,703,704,706,715,728,730,731,734,736,738,740,
742,743,749,750,755,762,766,771,772,773,776,779,782,783,805,806,813,816,817,
819,821,824,826,828,831,836,857,859,860,861,862,863,866,867,868,874,876,879,
881,888,901,909,919,922,928,929,930,932,935,936,939,946,952,964,965,976,978,
980,991,992,1006,1007,1010,1018,1025,1041,1046,1048,1050,1054,1057,1079,1081,
1106,1234,1235,1248,1255,1256,1258,1260,1261,1262,1266,1275,1278,1299,1303,
1316,1320,1336,1350,1356,1358,1359,1365,1376,1377,1382,1386,1388,1397,1398,
1412,1419,1440,1460,1468,1519,1564,1569,1584,1587,1684,1685,1702,1711,1716,
1726,1728,1739,1785,1965],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,
32,35,36,37,38,41,42,46,51,52,53,65,66,67,68,70,71,72,73,77,78,79,80,81,82,83,
85,86,87,88,89,90,95,96,98,99,100,103,108,109,110,113,115,119,120,123,125,128,
131,132,137,138,141,146,148,151,152,154,159,160,163,164,165,166,168,169,170,
171,172,174,175,183,184,187,190,195,197,199,207,217,223,260,262,265,272,273,
274,276,278,279,280,289,290,293,294,296,298,300,301,303,305,307,310,323,325,
327,328,329,332,333,334,335,340,343,345,348,349,351,352,357,365,366,369,372,
376,377,378,383,386,388,391,395,396,397,399,403,408,411,420,421,422,424,428,
430,431,433,435,439,442,452,453,454,458,463,466,474,478,479,490,494,502,518,
521,523,526,529,530,541,546,549,554,559,560,569,570,577,582,584,585,586,591,
672,673,676,679,681,686,688,689,690,693,694,695,704,709,719,722,724,728,732,
739,740,742,744,755,756,763,766,782,783,805,806,816,821,824,826,831,859,860,
866,867,868,876,881,888,901,904,906,909,922,929,930,935,936,939,952,960,961,
964,976,978,980,991,1004,1006,1007,1015,1018,1025,1030,1041,1046,1048,1050,
1054,1057,1070,1079,1083,1106,1122,1134,1229,1247,1248,1249,1253,1258,1260,
1261,1262,1278,1295,1299,1300,1303,1310,1312,1313,1320,1326,1358,1376,1377,
1386,1388,1394,1416,1490,1507,1531,1549,1570,1584,1587,1676,1684,1698,1706,
1726,1795,1799,1805,1820,1966],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,31,32,
34,35,37,41,42,43,44,51,65,66,67,68,71,72,73,76,77,79,80,82,83,85,86,87,88,89,
90,91,94,95,96,98,99,100,120,123,128,130,132,137,138,140,141,142,146,148,153,
161,162,165,168,169,171,175,184,187,188,198,199,260,264,265,266,270,273,274,
275,276,279,280,287,289,299,300,301,303,307,310,316,318,321,325,328,329,332,
334,335,338,352,355,357,360,361,368,369,377,379,384,386,387,388,390,395,397,
403,408,411,412,420,421,422,424,430,433,434,439,442,443,448,454,463,482,485,
512,570,577,579,583,584,585,672,673,675,685,687,688,689,693,694,695,703,706,
713,715,730,731,734,736,742,743,749,750,755,766,771,776,779,783,789,813,816,
817,819,828,836,837,857,861,862,863,868,874,876,879,902,919,922,939,954,956,
976,980,984,1010,1021,1025,1057,1066,1105,1235,1245,1255,1256,1258,1259,1262,
1275,1299,1314,1316,1335,1336,1346,1350,1356,1395,1398,1427,1468,1477,1478,
1501,1519,1685,1692,1710,1737,1810,1967],[1,2,4,5,6,11,12,13,15,20,21,22,24,
27,29,31,32,33,35,36,37,41,42,45,51,65,66,67,68,71,72,73,77,79,80,82,83,85,86,
87,88,89,90,95,96,98,99,100,103,120,123,128,132,137,138,141,146,147,148,150,
164,165,168,169,171,175,184,186,187,199,260,265,273,274,276,279,280,282,293,
294,298,300,301,307,310,328,329,332,334,335,357,363,369,371,377,386,388,392,
395,403,408,411,415,420,421,422,423,424,430,433,439,442,454,455,456,463,570,
577,582,584,585,591,672,673,688,689,690,693,694,695,761,783,790,816,821,846,
868,906,922,939,954,961,967,984,998,1004,1025,1057,1066,1069,1070,1236,1250,
1253,1258,1261,1262,1312,1314,1326,1332,1343,1395,1692,1697,1706,1968],[1,2,3,
4,5,6,7,11,13,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,
39,40,41,42,45,48,50,65,69,71,72,73,74,76,77,78,80,81,82,84,86,87,88,89,91,94,
99,100,101,103,104,105,106,116,121,122,123,124,126,129,132,133,137,138,139,
140,141,143,144,145,147,148,149,155,156,161,164,165,166,167,168,171,172,173,
174,175,176,177,178,182,184,185,186,187,189,192,194,195,196,201,202,203,205,
208,209,211,218,259,263,264,265,266,267,273,274,287,292,293,294,295,297,298,
299,302,304,309,310,311,312,313,314,317,319,320,322,324,327,332,335,336,339,
345,346,347,350,351,353,354,356,359,367,370,371,373,374,377,380,381,383,385,
394,395,396,398,400,401,407,409,410,414,421,422,424,430,432,436,437,445,448,
455,456,467,471,472,481,482,485,487,491,499,512,524,525,532,535,542,548,561,
562,563,567,570,575,578,580,581,585,589,590,592,593,594,596,597,674,678,688,
690,701,703,705,708,710,717,723,725,726,727,729,733,735,741,743,747,752,753,
758,760,769,774,776,777,780,787,799,801,804,807,808,809,810,814,817,820,822,
830,843,844,850,854,858,869,878,889,892,895,896,900,903,904,908,914,920,922,
925,927,931,937,941,944,945,961,965,966,969,979,981,985,987,988,996,997,998,
999,1002,1003,1009,1012,1014,1017,1020,1023,1031,1033,1034,1036,1038,1039,
1040,1045,1067,1082,1103,1110,1132,1137,1235,1242,1246,1253,1267,1269,1277,
1282,1284,1306,1317,1319,1338,1387,1400,1420,1426,1437,1439,1441,1442,1443,
1444,1447,1448,1463,1464,1465,1466,1467,1475,1481,1484,1485,1489,1502,1503,
1504,1508,1510,1522,1562,1565,1677,1715,1733,1746,1757,1763,1771,1822,1823,
1833,1848,1969],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,20,21,22,23,25,26,27,
28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,66,67,
69,72,73,74,76,77,78,79,80,81,84,85,86,88,91,92,93,95,100,101,102,103,104,105,
106,107,108,109,110,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,129,130,131,133,134,135,137,139,140,141,142,143,144,147,148,149,151,
152,153,154,155,156,157,158,159,160,161,162,163,165,166,169,171,172,173,174,
175,176,177,178,180,181,182,183,186,188,189,190,191,192,193,194,197,198,200,
201,202,203,205,206,207,208,209,210,211,212,213,215,216,217,218,219,220,260,
264,267,269,271,274,275,280,283,285,286,287,291,292,293,295,299,301,306,312,
314,315,318,320,321,322,323,325,330,331,333,336,340,341,345,348,349,353,354,
355,356,358,359,361,362,364,369,370,371,373,375,376,377,378,379,384,385,387,
389,390,391,392,394,396,397,399,400,401,402,404,405,406,407,412,417,418,423,
425,427,428,430,431,432,433,434,436,438,440,443,444,447,448,449,451,455,456,
457,458,459,460,461,464,465,467,468,472,473,474,475,476,477,478,479,480,481,
482,483,486,487,488,489,490,491,492,494,495,497,500,503,505,506,514,515,516,
517,518,519,520,521,522,524,526,531,537,539,540,542,543,545,551,552,555,556,
557,559,561,562,564,565,566,568,569,571,573,574,576,578,579,580,583,587,588,
592,593,594,595,596,597,599,600,673,677,682,684,685,687,699,701,707,708,711,
713,714,719,720,721,727,734,735,736,740,742,746,760,762,764,776,781,782,789,
790,791,795,797,798,810,812,820,829,830,831,833,836,838,839,841,842,845,847,
848,852,853,854,864,866,867,869,872,873,875,877,882,891,893,894,899,901,906,
914,916,917,927,929,942,946,947,948,949,957,959,960,964,966,968,971,974,986,
987,989,992,994,998,1013,1017,1020,1024,1027,1029,1032,1033,1036,1037,1046,
1047,1051,1052,1056,1058,1063,1064,1065,1068,1074,1084,1085,1090,1091,1092,
1093,1094,1097,1098,1099,1102,1103,1105,1109,1112,1116,1117,1118,1119,1121,
1125,1128,1129,1131,1132,1133,1135,1136,1230,1250,1256,1279,1280,1286,1287,
1289,1291,1292,1294,1301,1307,1320,1322,1329,1330,1335,1339,1340,1341,1342,
1348,1349,1355,1360,1363,1364,1370,1372,1375,1379,1391,1401,1407,1415,1416,
1419,1421,1422,1434,1446,1459,1494,1499,1502,1513,1539,1562,1573,1574,1578,
1579,1580,1582,1681,1705,1717,1734,1735,1736,1741,1753,1758,1762,1766,1776,
1778,1791,1813,1970],[1,2,3,4,5,6,7,11,13,15,16,17,18,20,21,22,23,25,26,27,28,
29,30,31,32,35,36,37,38,39,40,41,42,45,48,50,51,65,69,71,72,73,74,77,78,80,81,
82,84,85,86,87,88,89,99,100,101,103,104,105,106,116,121,122,123,124,126,129,
130,132,133,137,138,139,140,141,143,144,145,147,148,149,155,156,164,165,166,
167,168,169,171,172,173,174,175,176,177,178,182,184,185,186,187,189,192,194,
195,196,199,201,203,205,208,211,259,263,265,267,270,273,274,275,289,292,293,
294,295,297,298,299,302,304,309,310,311,312,313,314,316,317,319,320,322,324,
325,327,332,335,336,339,345,346,347,350,351,353,354,356,357,359,367,368,370,
371,373,374,377,380,381,383,385,386,387,394,395,396,397,398,400,401,403,407,
409,410,414,421,422,424,430,432,433,436,437,445,455,456,461,467,471,473,487,
491,499,524,525,532,535,542,548,561,562,563,570,585,590,592,593,594,596,597,
674,678,688,690,701,705,708,710,717,723,725,726,727,729,733,734,735,741,747,
752,753,755,758,760,769,774,777,779,780,783,787,797,799,801,804,807,808,809,
810,814,819,820,821,822,828,830,843,844,850,854,858,869,878,889,892,895,896,
900,903,904,908,914,920,922,925,931,937,941,944,945,965,966,969,973,979,981,
985,987,988,996,997,998,999,1002,1003,1009,1012,1014,1017,1020,1023,1029,1031,
1036,1073,1087,1242,1246,1255,1261,1277,1282,1284,1306,1310,1311,1317,1319,
1338,1387,1426,1437,1441,1442,1443,1444,1448,1465,1475,1482,1484,1487,1502,
1503,1520,1522,1525,1533,1539,1541,1567,1699,1720,1733,1754,1757,1775,1789,
1971],[1,2,4,5,6,11,12,13,15,20,21,22,24,27,29,30,31,32,34,35,36,37,41,42,44,
51,66,67,68,70,71,72,73,76,77,78,79,80,82,83,85,86,87,88,89,90,91,94,96,97,98,
99,103,109,111,120,123,128,130,132,137,138,140,142,146,148,161,162,164,165,
168,169,171,182,184,187,196,198,199,262,264,266,268,270,272,273,274,275,276,
277,279,280,287,289,296,298,299,300,301,303,307,311,314,316,317,318,321,325,
328,331,334,338,343,350,352,355,357,360,368,373,383,384,387,388,390,396,397,
403,408,412,421,424,430,434,439,442,448,450,454,463,466,470,471,474,482,485,
512,525,548,570,577,582,584,585,591,675,676,679,685,692,693,694,698,706,709,
712,715,716,717,722,730,731,732,734,736,743,744,750,756,763,764,766,771,775,
776,779,786,789,813,816,819,828,835,836,857,859,861,862,863,868,874,876,879,
885,886,889,905,919,939,942,954,956,957,958,962,976,980,984,993,1001,1002,
1010,1030,1070,1082,1110,1240,1241,1244,1259,1264,1291,1300,1313,1315,1316,
1324,1344,1350,1356,1371,1392,1395,1398,1399,1403,1411,1425,1458,1467,1477,
1501,1507,1516,1518,1519,1520,1536,1538,1553,1691,1737,1756,1794,1801,1811,
1818,1972],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,66,68,69,
71,72,73,74,76,77,78,79,80,81,82,84,85,86,87,89,90,91,92,93,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,134,135,138,139,141,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,180,182,184,185,186,187,188,189,
190,191,192,193,194,195,197,200,201,202,203,205,208,209,210,211,212,213,216,
218,219,220,221,223,264,269,273,275,277,278,279,280,282,283,285,286,289,291,
292,293,295,296,297,298,300,301,302,304,306,308,310,312,313,314,315,317,318,
319,320,322,323,326,329,330,333,334,336,337,338,339,340,345,346,347,348,349,
350,351,353,356,358,359,360,361,362,363,364,370,371,373,374,375,376,377,378,
379,380,381,383,384,385,387,389,391,392,398,399,400,401,402,404,405,406,407,
408,409,410,412,414,415,416,417,418,421,422,423,424,425,427,428,431,432,433,
436,437,438,440,442,443,444,445,447,449,451,452,453,457,458,459,460,461,465,
466,467,472,473,475,476,477,478,480,481,483,486,488,489,490,492,494,495,496,
497,498,500,503,504,506,508,510,514,515,516,517,520,521,522,524,528,529,530,
531,532,533,535,537,539,540,541,542,543,545,551,552,555,556,558,562,563,564,
565,568,572,573,574,577,578,580,584,587,588,590,592,594,595,596,597,599,600,
682,685,692,693,699,706,707,711,713,714,718,720,721,723,724,725,730,735,738,
739,740,741,751,759,761,763,765,767,770,773,774,780,781,782,785,786,787,790,
791,792,797,798,801,802,807,808,812,818,820,822,824,827,829,832,833,838,839,
841,842,844,845,848,849,850,851,853,854,855,864,873,875,877,882,883,884,885,
887,889,890,893,894,895,896,897,899,901,902,906,908,911,913,914,918,921,925,
926,927,928,930,931,935,937,938,941,943,944,946,947,948,949,951,959,963,969,
973,977,983,985,986,987,988,989,990,991,994,996,997,999,1009,1014,1015,1017,
1018,1019,1022,1025,1026,1027,1028,1032,1037,1047,1048,1049,1051,1052,1053,
1056,1058,1063,1065,1068,1069,1074,1077,1084,1085,1089,1090,1092,1093,1094,
1097,1098,1099,1102,1109,1112,1116,1117,1119,1121,1125,1128,1129,1245,1254,
1264,1271,1272,1280,1283,1286,1290,1292,1293,1294,1301,1302,1304,1308,1318,
1325,1330,1331,1339,1340,1343,1348,1351,1360,1362,1370,1374,1375,1376,1378,
1389,1390,1393,1401,1404,1412,1418,1422,1442,1444,1451,1452,1454,1457,1459,
1470,1471,1474,1494,1509,1514,1522,1523,1530,1531,1548,1552,1573,1577,1578,
1579,1582,1583,1689,1712,1725,1730,1732,1735,1740,1741,1743,1744,1751,1780,
1802,1814,1815,1973],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,50,51,52,53,66,68,
69,71,72,73,74,76,77,78,79,80,81,82,84,85,86,87,89,90,91,92,93,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,115,116,117,119,120,121,122,123,
124,125,126,127,128,129,130,131,138,139,141,142,143,144,145,146,147,148,149,
150,151,152,154,155,156,157,158,159,160,162,163,164,165,168,169,171,172,173,
175,176,177,178,180,181,182,184,185,186,187,189,190,192,194,195,197,198,201,
202,203,205,206,209,214,215,218,223,264,269,272,273,275,277,279,280,282,283,
285,286,288,289,291,292,293,295,296,298,300,301,302,304,306,308,310,311,312,
313,314,315,317,318,319,320,322,323,324,329,331,333,334,336,337,338,340,346,
347,348,349,350,351,354,355,356,358,359,360,362,363,364,367,370,371,373,374,
375,376,377,378,380,381,383,384,385,387,389,390,391,392,394,396,398,399,400,
401,406,408,409,410,412,414,415,416,417,418,421,422,423,424,425,427,428,431,
432,433,434,436,437,438,442,444,451,452,453,457,458,461,464,466,468,472,473,
475,477,478,480,481,483,489,490,493,494,501,504,505,508,511,517,519,521,522,
524,531,534,537,539,540,541,543,547,551,555,556,557,563,566,571,576,577,578,
580,584,590,592,594,597,677,685,692,693,699,706,707,709,714,717,718,720,723,
724,725,729,730,737,738,740,746,751,760,761,763,764,772,774,778,781,782,784,
785,786,787,788,789,790,791,793,797,802,804,807,810,812,814,820,822,824,840,
844,847,850,851,852,858,869,872,875,877,885,887,889,890,891,892,894,896,899,
901,903,906,907,910,911,913,914,915,916,917,924,925,927,928,930,931,933,934,
935,937,938,940,942,943,944,946,947,948,949,956,957,959,963,966,968,969,971,
973,974,975,979,981,985,986,990,991,993,997,1000,1003,1005,1008,1011,1013,
1014,1015,1018,1023,1024,1025,1035,1047,1048,1059,1064,1069,1092,1118,1121,
1244,1259,1264,1276,1283,1287,1289,1291,1292,1293,1294,1304,1305,1308,1309,
1330,1341,1342,1343,1344,1349,1357,1362,1363,1368,1372,1373,1376,1378,1379,
1380,1381,1383,1384,1393,1404,1407,1410,1412,1414,1421,1441,1443,1444,1446,
1451,1456,1476,1479,1499,1512,1521,1530,1531,1546,1547,1557,1691,1712,1714,
1725,1736,1742,1747,1749,1753,1759,1760,1764,1773,1787,1808,1974],[1,2,4,5,6,
7,11,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,47,49,51,65,66,71,72,73,75,76,77,78,79,81,83,84,85,86,87,
89,91,92,93,97,99,100,101,102,103,104,106,107,111,112,114,117,118,120,121,123,
126,127,128,130,132,136,137,138,139,141,142,143,145,147,149,150,153,155,156,
157,158,162,164,165,166,168,169,171,172,173,174,175,176,177,182,184,185,186,
187,188,190,191,192,194,195,198,199,202,203,204,208,209,211,213,218,222,261,
263,264,265,268,269,275,276,277,280,282,285,288,291,292,293,294,295,298,301,
304,306,308,309,312,313,314,315,317,318,326,327,328,329,330,331,332,335,337,
345,346,347,349,350,351,353,354,355,357,359,361,363,364,365,366,367,370,371,
373,374,377,379,380,381,383,384,385,386,389,390,392,394,396,398,399,400,401,
402,404,405,407,409,410,411,412,413,415,416,421,422,423,424,426,432,433,434,
437,440,443,445,450,461,462,469,470,472,473,477,481,484,489,495,503,504,507,
508,517,520,540,544,545,550,553,557,563,564,570,571,573,574,578,580,585,587,
590,597,680,685,690,691,695,696,700,702,707,713,714,720,721,726,728,737,747,
748,751,752,753,754,757,758,761,764,765,768,770,775,781,782,783,785,788,789,
790,797,800,802,803,804,807,808,810,811,812,815,818,823,825,829,832,834,837,
841,843,844,846,848,851,864,869,870,873,880,887,889,890,893,900,903,904,906,
908,911,913,914,922,925,927,932,934,937,938,942,943,946,951,953,955,957,963,
965,967,968,969,970,975,979,982,986,987,988,990,995,1000,1003,1004,1008,1009,
1012,1013,1016,1017,1021,1028,1031,1032,1050,1061,1065,1076,1077,1090,1092,
1118,1233,1257,1260,1271,1274,1280,1290,1291,1292,1296,1298,1301,1318,1325,
1326,1330,1332,1333,1341,1342,1346,1347,1348,1349,1352,1362,1363,1365,1369,
1370,1375,1380,1381,1383,1384,1385,1387,1402,1404,1410,1426,1428,1432,1436,
1445,1450,1465,1469,1472,1492,1497,1498,1511,1526,1552,1556,1693,1713,1722,
1724,1736,1741,1748,1750,1765,1773,1788,1793,1802,1807,1812,1975],[1,2,4,5,6,
7,11,12,13,15,20,21,22,24,27,28,29,31,32,34,35,36,37,38,41,42,43,46,47,49,51,
66,67,68,70,71,72,73,76,77,79,80,81,82,83,85,86,87,88,89,90,91,94,96,97,98,99,
101,103,106,111,114,115,118,120,123,128,130,132,137,138,140,145,146,148,149,
153,161,162,164,165,166,167,168,169,170,171,173,174,183,184,185,187,188,191,
195,196,199,207,213,223,262,264,266,268,270,273,274,275,276,277,278,279,280,
287,289,296,298,299,300,301,303,307,312,313,316,318,321,325,328,330,334,338,
339,343,345,351,352,357,359,360,361,368,379,381,384,387,388,397,402,403,404,
405,408,412,421,424,430,439,440,442,443,448,450,454,463,470,471,482,485,495,
503,512,520,525,526,529,530,532,535,541,545,548,558,560,563,567,570,572,575,
577,581,582,584,585,586,589,590,591,675,676,679,685,692,693,694,698,706,712,
713,715,716,721,722,730,731,732,734,736,739,741,743,744,750,756,763,766,771,
775,776,779,786,813,816,819,828,829,835,836,848,857,860,861,862,863,864,868,
874,876,879,885,886,893,897,902,905,919,925,939,954,958,962,976,977,980,984,
1001,1002,1010,1019,1030,1038,1039,1045,1049,1053,1065,1067,1070,1073,1083,
1087,1114,1122,1124,1134,1137,1240,1241,1245,1254,1264,1272,1300,1313,1315,
1316,1324,1350,1356,1370,1371,1392,1395,1398,1403,1417,1425,1427,1457,1458,
1478,1482,1483,1488,1495,1508,1515,1516,1518,1519,1523,1524,1529,1536,1538,
1551,1559,1560,1570,1571,1689,1723,1761,1770,1801,1810,1811,1830,1834,1851,
1852,1976],[1,2,4,5,6,7,11,13,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,34,
35,36,37,38,39,40,41,42,45,46,47,49,51,65,71,72,73,76,77,78,80,81,82,84,86,87,
88,89,91,94,99,100,103,104,107,108,109,112,113,114,115,117,118,121,123,126,
127,132,133,137,138,139,140,141,143,145,147,148,149,155,156,157,158,161,165,
166,167,168,169,170,171,172,173,174,175,176,177,182,184,185,186,187,191,192,
194,195,196,199,202,203,205,208,209,211,217,218,263,264,265,266,267,272,273,
274,278,287,288,291,292,294,295,299,304,306,309,310,311,313,315,317,319,326,
327,330,331,332,335,337,339,340,345,346,350,351,353,354,357,359,367,370,371,
372,373,374,377,380,381,383,385,386,391,394,395,396,398,400,401,407,409,410,
416,421,422,424,430,432,433,436,437,445,448,452,453,455,456,459,471,472,477,
479,481,482,485,487,491,512,514,518,525,532,535,548,550,558,561,565,567,570,
572,573,575,578,580,581,585,587,588,589,593,597,678,686,688,696,703,705,708,
710,711,717,729,733,738,741,743,746,747,752,753,757,758,762,767,768,772,773,
774,776,780,783,784,801,802,804,805,808,809,811,815,817,818,821,822,830,831,
840,841,843,869,872,873,878,881,890,892,896,900,904,920,922,926,927,931,933,
934,937,938,943,945,951,965,968,969,975,977,987,991,993,994,997,998,1002,1003,
1005,1008,1009,1012,1013,1020,1022,1026,1028,1033,1034,1036,1038,1039,1040,
1045,1067,1079,1081,1082,1103,1110,1132,1137,1235,1261,1266,1273,1277,1282,
1284,1285,1297,1303,1306,1338,1351,1373,1382,1400,1420,1433,1438,1439,1440,
1463,1465,1466,1467,1470,1476,1481,1485,1486,1487,1496,1497,1498,1508,1509,
1510,1513,1525,1533,1547,1562,1565,1567,1569,1702,1715,1720,1755,1771,1775,
1800,1838,1840,1841,1850,1977],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,
21,22,23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,
52,53,66,67,69,72,73,74,75,77,78,79,81,84,85,86,88,92,93,95,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,121,122,124,
125,126,127,128,129,131,132,133,134,135,136,139,141,142,143,144,149,150,151,
152,153,154,155,156,157,158,159,160,162,163,165,166,169,171,172,173,174,175,
176,177,178,179,181,182,183,188,189,190,191,192,193,194,197,198,200,201,203,
204,205,206,207,208,210,211,212,214,215,217,220,221,222,260,261,267,269,271,
274,277,280,281,282,284,285,289,291,292,293,295,306,312,314,315,318,320,322,
323,328,330,331,333,336,338,340,341,345,348,349,353,354,355,356,359,361,362,
363,364,369,370,373,376,377,378,379,382,385,389,390,391,393,394,396,399,400,
401,402,404,405,406,407,413,415,418,419,426,428,429,431,432,433,434,436,440,
441,443,444,446,449,451,457,459,460,462,464,467,468,469,474,475,479,480,483,
484,486,487,488,489,490,491,493,496,498,499,500,501,502,504,505,507,508,509,
510,511,514,516,517,518,519,522,526,528,531,533,534,536,540,542,544,546,547,
549,550,551,553,554,555,557,559,562,564,565,566,568,569,571,573,574,576,579,
583,587,588,592,594,595,596,597,598,601,673,677,681,682,684,691,692,697,701,
702,707,708,711,713,714,715,719,720,721,727,735,740,746,760,761,762,764,781,
782,789,791,795,798,800,803,810,820,825,827,830,831,833,838,841,847,849,851,
854,855,856,865,866,867,869,871,872,873,880,883,898,907,912,914,915,916,917,
921,923,924,928,930,932,940,950,953,964,966,968,970,972,973,982,983,987,994,
995,1004,1007,1013,1015,1017,1020,1024,1027,1035,1042,1043,1044,1046,1047,
1049,1051,1055,1056,1059,1060,1061,1064,1068,1071,1072,1074,1076,1077,1078,
1080,1089,1090,1096,1101,1105,1107,1108,1113,1115,1117,1118,1123,1127,1131,
1133,1135,1136,1230,1232,1236,1271,1272,1274,1276,1280,1283,1286,1287,1289,
1298,1301,1320,1325,1329,1333,1335,1344,1349,1352,1360,1363,1367,1368,1374,
1378,1381,1384,1390,1391,1393,1406,1408,1413,1423,1424,1430,1435,1460,1462,
1490,1500,1502,1513,1517,1574,1580,1581,1585,1588,1589,1679,1681,1714,1722,
1732,1749,1750,1758,1767,1769,1779,1780,1781,1783,1806,1978],[1,2,4,5,6,11,12,
13,15,19,20,21,22,24,27,29,30,31,32,36,41,42,43,51,66,67,68,70,71,72,73,75,77,
78,79,80,82,85,89,90,94,96,98,99,103,109,111,128,132,137,138,140,146,148,153,
161,162,164,165,168,169,182,184,187,188,196,199,261,262,266,270,272,273,277,
279,280,287,296,298,299,300,303,307,311,314,316,317,318,321,325,328,331,334,
343,350,352,357,360,361,368,373,379,383,387,396,397,403,408,413,421,426,430,
439,442,443,454,463,466,471,474,485,512,525,548,577,582,585,591,675,676,679,
683,687,691,693,698,709,712,713,717,722,731,732,743,744,749,750,756,764,766,
771,779,803,813,828,835,836,859,861,862,868,874,876,880,885,889,902,905,919,
939,954,958,976,984,993,1001,1002,1070,1082,1110,1231,1244,1245,1251,1274,
1281,1307,1313,1315,1324,1345,1350,1395,1403,1411,1427,1429,1455,1467,1468,
1478,1507,1520,1524,1529,1682,1688,1729,1770,1794,1810,1818,1979],[1,2,4,5,6,
7,11,12,13,15,19,20,21,22,24,27,28,29,31,32,36,38,41,42,44,46,47,49,51,66,67,
68,70,71,72,73,75,77,79,80,81,82,85,89,90,94,96,98,99,101,103,106,111,114,115,
118,128,132,137,138,140,142,145,146,148,149,161,162,164,165,166,167,168,169,
170,173,174,183,184,185,187,191,195,196,198,199,207,222,223,261,262,266,270,
273,277,278,279,280,287,296,298,299,300,303,307,312,313,316,318,321,325,328,
330,334,339,343,345,351,352,355,357,359,360,368,381,387,390,397,402,403,404,
405,408,413,421,426,430,434,439,440,442,454,463,469,471,484,485,507,512,525,
526,529,530,532,535,541,544,548,558,560,563,567,572,575,577,581,582,585,586,
589,590,591,675,676,679,683,687,691,693,698,712,721,722,731,732,739,741,743,
744,749,750,756,766,771,779,789,800,813,828,835,836,860,861,862,868,874,876,
885,897,905,919,925,939,954,956,958,970,976,977,982,984,995,1001,1002,1019,
1038,1039,1045,1053,1061,1067,1070,1073,1083,1087,1091,1114,1122,1124,1134,
1137,1231,1251,1254,1259,1279,1281,1313,1315,1324,1333,1345,1350,1395,1399,
1403,1417,1429,1455,1461,1468,1477,1482,1483,1488,1495,1501,1508,1515,1551,
1553,1559,1560,1566,1570,1571,1682,1709,1723,1729,1737,1756,1761,1827,1831,
1842,1844,1980],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,65,
66,69,71,72,73,74,75,76,77,78,79,81,83,84,85,86,87,89,91,92,93,97,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,134,135,136,137,138,139,141,
142,143,144,147,149,150,151,152,153,154,155,156,157,158,159,160,162,163,165,
166,167,168,170,171,172,173,174,175,176,177,178,179,180,181,182,184,185,186,
187,188,189,191,192,193,194,195,197,198,200,201,202,203,204,205,206,208,209,
210,211,212,213,214,215,216,218,219,220,221,222,259,261,263,264,265,268,269,
272,275,276,277,278,280,281,282,283,284,285,286,288,290,292,294,295,297,301,
302,304,305,306,308,309,311,312,314,315,318,320,322,323,324,326,327,328,329,
330,331,332,333,335,336,339,340,342,344,345,347,348,350,351,353,354,355,356,
358,359,361,362,363,364,367,370,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,389,390,391,392,393,394,396,398,400,402,404,405,406,407,409,410,
411,412,413,414,415,416,417,418,419,421,422,423,424,425,426,427,428,429,431,
432,434,435,436,437,438,440,441,443,444,445,446,447,449,450,451,457,458,459,
460,461,462,464,465,467,468,469,470,472,473,475,476,477,478,480,481,483,484,
486,488,489,490,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,510,511,513,514,515,516,517,519,520,521,522,523,524,527,528,531,
533,534,536,537,538,539,540,542,543,544,545,546,547,549,550,551,552,553,554,
555,556,558,562,565,566,568,570,572,573,576,578,580,585,587,588,592,594,595,
596,597,598,599,600,601,674,677,680,682,685,686,691,695,697,699,700,702,704,
705,707,711,713,714,720,721,725,726,735,737,740,745,746,747,748,751,752,757,
759,760,761,764,765,767,768,769,770,775,777,778,784,785,787,788,789,790,791,
792,793,796,797,798,799,800,803,811,812,814,815,820,823,825,826,827,829,832,
833,834,837,838,839,840,841,842,843,845,846,847,848,849,851,852,853,854,855,
856,858,864,865,870,871,872,875,877,880,882,883,884,887,890,891,893,894,895,
898,899,900,901,904,907,909,910,911,912,913,915,916,917,918,921,922,923,924,
926,927,933,936,940,941,942,943,947,948,949,950,951,953,955,957,959,965,966,
967,970,971,972,974,975,977,981,982,983,985,986,989,990,993,994,995,996,999,
1000,1005,1006,1007,1011,1012,1013,1014,1016,1021,1022,1023,1024,1026,1027,
1035,1037,1042,1043,1044,1047,1051,1052,1055,1056,1058,1059,1060,1061,1062,
1063,1064,1065,1068,1071,1072,1074,1075,1076,1078,1080,1084,1085,1086,1088,
1089,1092,1093,1094,1096,1097,1098,1099,1100,1101,1102,1107,1108,1109,1111,
1112,1113,1115,1116,1117,1119,1120,1121,1123,1125,1126,1127,1128,1129,1130,
1233,1238,1248,1252,1268,1270,1273,1274,1276,1286,1287,1289,1291,1294,1296,
1298,1302,1305,1309,1317,1319,1328,1330,1331,1332,1333,1334,1339,1340,1346,
1347,1357,1360,1362,1367,1368,1369,1370,1372,1374,1379,1385,1389,1390,1401,
1402,1405,1406,1407,1408,1409,1413,1414,1418,1421,1422,1423,1424,1428,1430,
1431,1432,1435,1437,1445,1446,1449,1450,1453,1454,1459,1471,1474,1479,1480,
1491,1492,1493,1494,1496,1498,1499,1500,1505,1506,1511,1521,1527,1528,1532,
1534,1535,1537,1540,1542,1543,1544,1546,1548,1550,1555,1556,1557,1561,1563,
1568,1573,1578,1579,1581,1582,1585,1588,1589,1675,1724,1735,1740,1745,1752,
1753,1772,1781,1782,1786,1804,1806,1807,1808,1821,1824,1825,1829,1832,1835,
1837,1845,1981],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,
32,35,36,37,38,41,42,46,48,50,51,65,66,67,68,69,71,72,73,74,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,94,96,97,98,99,103,105,107,108,109,111,112,113,115,
116,117,120,122,123,124,127,128,129,130,132,137,138,140,144,146,148,157,158,
161,162,164,165,168,169,170,171,172,178,183,184,187,189,190,199,201,207,217,
223,259,260,263,265,266,268,270,272,273,274,275,276,277,278,279,280,287,288,
289,291,293,294,296,297,298,299,300,301,302,303,306,307,310,315,316,318,320,
321,322,324,325,326,327,328,329,332,334,335,336,337,338,340,346,349,352,356,
357,360,362,365,366,368,372,386,387,391,395,397,399,401,403,406,411,414,418,
420,422,430,433,439,442,444,450,452,453,454,457,463,466,470,474,477,479,485,
499,511,512,513,518,524,526,528,539,541,543,550,560,570,577,582,584,585,586,
591,672,674,681,684,686,687,688,689,690,692,695,696,698,712,715,716,718,723,
727,728,730,731,732,734,736,742,743,744,745,749,753,755,756,757,759,763,766,
769,771,775,777,779,782,783,786,791,793,805,813,816,819,821,828,831,836,857,
859,860,861,862,863,868,874,876,879,881,885,886,899,906,919,928,929,930,932,
939,944,946,958,960,962,964,972,973,976,980,991,992,1001,1004,1010,1015,1018,
1029,1030,1041,1050,1070,1079,1081,1111,1237,1243,1246,1247,1252,1255,1260,
1261,1262,1263,1275,1281,1295,1299,1303,1310,1311,1312,1321,1322,1326,1327,
1336,1359,1365,1377,1378,1382,1386,1388,1392,1394,1397,1398,1403,1415,1425,
1434,1451,1462,1468,1473,1516,1517,1518,1530,1536,1545,1554,1680,1686,1699,
1700,1718,1726,1727,1728,1774,1784,1785,1790,1798,1799,1820,1982],[1,2,3,4,5,
6,7,11,12,13,15,16,17,20,21,22,27,28,29,30,32,33,34,35,36,37,38,41,42,43,44,
46,47,48,49,50,51,52,53,66,67,69,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,91,95,100,101,103,105,106,107,108,109,110,112,113,114,115,116,117,118,
119,120,122,123,124,125,127,129,130,131,137,140,141,142,144,145,148,149,150,
151,152,153,154,157,158,159,160,161,162,163,165,166,167,169,171,172,173,174,
175,178,180,182,183,185,187,188,189,190,191,194,197,198,201,205,207,208,211,
213,214,217,221,260,264,273,274,275,276,280,282,283,286,287,288,291,293,297,
299,301,304,306,308,309,311,312,313,314,315,317,318,319,320,321,322,323,324,
325,326,330,331,333,336,339,340,345,346,347,348,349,350,353,354,355,356,358,
359,361,362,363,367,369,373,374,375,376,377,378,379,380,381,384,385,387,390,
391,394,396,397,398,399,400,401,402,403,404,405,406,407,409,410,412,414,415,
416,417,418,420,422,425,427,428,430,431,432,433,434,436,437,438,440,443,444,
445,448,451,457,458,474,475,477,478,479,480,482,483,490,493,494,495,496,498,
501,503,510,513,518,520,521,522,524,526,531,532,533,534,535,537,539,543,545,
547,551,555,556,559,562,565,569,579,583,588,596,673,684,685,687,689,699,713,
717,719,721,723,725,727,733,734,736,738,740,741,742,745,754,761,762,764,767,
770,776,778,781,782,784,785,787,788,789,791,792,799,801,804,807,808,810,811,
815,827,829,831,832,834,836,844,848,849,850,854,855,858,864,866,867,872,873,
875,877,883,884,890,892,893,894,895,896,899,901,903,906,907,910,911,913,915,
918,921,924,926,929,931,933,937,940,942,943,946,947,948,949,951,957,959,960,
964,966,968,969,975,981,983,988,992,994,996,999,1000,1003,1005,1008,1009,1011,
1016,1017,1020,1023,1026,1028,1029,1031,1035,1046,1047,1059,1065,1077,1089,
1091,1105,1121,1236,1256,1265,1271,1276,1279,1290,1291,1292,1294,1307,1309,
1318,1320,1322,1325,1329,1331,1335,1353,1357,1361,1362,1364,1366,1368,1370,
1374,1380,1381,1383,1384,1389,1390,1391,1415,1416,1418,1419,1434,1436,1438,
1443,1453,1471,1472,1474,1479,1484,1491,1509,1521,1522,1546,1547,1548,1557,
1690,1734,1740,1768,1769,1773,1777,1778,1779,1797,1802,1803,1808,1809,1819,
1983],[1,2,4,5,6,7,11,13,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,
35,36,37,38,39,40,41,42,43,44,45,46,47,49,52,53,65,66,71,72,73,77,78,79,80,81,
83,84,85,86,87,89,92,93,99,100,101,102,103,104,106,107,108,109,110,111,112,
113,114,115,117,118,119,120,121,123,125,126,127,128,131,132,137,138,139,140,
141,142,143,145,147,149,150,151,152,153,154,155,156,157,158,159,160,163,164,
165,166,168,170,171,172,173,174,175,176,177,181,182,184,185,186,187,188,191,
192,193,194,195,197,198,200,203,206,208,211,215,216,220,221,263,265,269,272,
276,277,278,280,282,285,288,289,290,291,292,293,294,295,298,299,301,304,305,
306,308,309,312,313,314,315,316,317,321,323,325,326,327,328,329,330,331,332,
333,335,337,338,340,345,346,347,348,350,351,353,354,355,359,360,361,363,364,
367,370,371,372,373,374,376,377,378,379,380,381,383,385,389,390,391,392,394,
396,397,398,400,401,402,403,404,405,407,409,410,411,415,416,421,422,423,424,
428,431,432,434,435,437,440,443,445,449,458,464,468,477,478,488,489,490,492,
494,496,497,498,500,502,504,505,506,508,510,515,516,517,519,521,523,533,540,
546,549,550,554,561,563,566,568,570,573,576,585,587,590,593,595,597,680,686,
687,690,692,695,696,704,707,713,714,716,720,721,726,737,740,747,748,751,752,
753,754,755,757,758,761,764,765,768,770,781,785,788,789,790,798,802,804,807,
808,810,811,815,818,826,827,832,833,834,837,838,839,841,843,844,845,846,847,
849,851,853,855,863,869,873,884,887,889,890,891,900,901,903,904,908,909,910,
914,915,916,917,918,922,925,928,934,936,937,938,940,943,951,960,963,965,967,
968,969,974,975,979,983,987,988,989,990,992,1000,1001,1003,1006,1007,1008,
1009,1011,1012,1013,1015,1016,1017,1021,1024,1027,1028,1031,1036,1049,1064,
1068,1089,1091,1102,1248,1257,1263,1272,1276,1279,1283,1287,1290,1295,1296,
1301,1304,1307,1325,1332,1339,1342,1344,1346,1347,1349,1355,1357,1360,1364,
1366,1369,1374,1375,1379,1383,1384,1387,1389,1393,1397,1404,1405,1409,1410,
1426,1431,1436,1465,1469,1472,1493,1497,1498,1527,1532,1542,1544,1552,1558,
1687,1717,1738,1748,1749,1752,1764,1765,1768,1776,1780,1797,1804,1815,1816,
1984],[1,2,3,4,5,6,7,11,12,13,15,16,17,19,20,21,22,27,28,29,30,32,35,36,37,38,
41,42,43,44,45,46,47,48,49,50,51,52,53,66,67,69,72,73,74,75,77,78,79,80,81,82,
83,84,85,86,87,88,89,95,100,101,103,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,122,124,125,127,128,129,131,132,141,142,144,145,147,149,
151,152,153,154,157,158,159,160,162,163,165,166,167,169,171,172,173,174,175,
178,179,182,183,185,186,187,188,189,190,191,194,197,198,201,205,207,208,211,
216,217,219,222,260,261,273,274,276,277,280,281,284,288,289,291,293,297,304,
306,308,309,311,312,313,314,315,317,318,319,320,322,323,324,326,328,330,331,
333,336,338,339,340,345,346,347,348,349,350,353,354,355,356,359,361,362,367,
369,371,373,374,376,377,378,379,380,381,382,385,390,391,392,393,394,396,398,
399,400,401,402,403,404,405,406,407,409,410,413,414,416,418,419,420,422,423,
426,428,429,431,432,433,434,436,437,440,441,443,444,445,446,447,451,455,456,
457,465,469,474,475,476,479,480,483,484,490,492,497,499,502,506,507,509,511,
513,515,518,522,526,528,531,532,535,536,544,546,549,550,551,552,554,555,559,
562,565,569,579,583,588,596,673,681,684,689,691,692,697,713,715,717,719,721,
723,725,727,733,738,740,741,745,754,762,764,767,770,778,781,782,784,785,787,
788,789,790,791,792,799,800,801,803,804,807,808,810,811,815,823,831,832,834,
839,842,844,845,850,852,853,854,856,858,865,866,867,871,872,873,880,882,884,
890,891,892,895,896,898,903,910,912,918,923,926,928,930,931,932,933,937,943,
950,951,955,964,966,968,969,970,971,972,973,974,975,981,982,988,989,994,995,
996,998,999,1000,1003,1004,1005,1007,1008,1009,1011,1015,1016,1017,1020,1023,
1026,1028,1031,1032,1046,1047,1049,1058,1061,1094,1102,1105,1107,1232,1250,
1265,1272,1274,1290,1304,1309,1318,1320,1329,1331,1333,1335,1339,1340,1341,
1342,1344,1348,1352,1353,1357,1361,1367,1372,1375,1378,1379,1380,1383,1385,
1389,1391,1393,1436,1438,1443,1449,1453,1460,1462,1472,1484,1490,1491,1505,
1506,1509,1517,1522,1528,1535,1540,1543,1547,1568,1695,1744,1760,1764,1767,
1777,1782,1783,1786,1791,1793,1803,1812,1813,1815,1985],[1,2,4,5,6,7,11,12,13,
15,16,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,51,52,53,65,66,67,68,
71,72,73,77,78,79,80,81,82,83,84,85,86,87,88,89,90,94,96,97,98,99,103,108,109,
110,111,113,115,119,120,123,125,128,130,131,132,137,138,140,146,148,151,152,
154,159,160,161,162,163,164,165,166,168,169,170,171,172,174,183,184,187,194,
195,197,199,207,208,217,223,260,263,265,266,268,270,272,273,274,275,276,277,
278,279,280,287,289,290,291,293,294,296,298,299,300,301,303,305,307,310,316,
318,321,323,325,327,328,329,332,333,334,335,337,338,340,345,348,351,352,357,
360,368,372,374,376,378,380,383,386,387,391,394,395,396,397,400,403,407,410,
411,420,422,428,430,431,432,433,435,437,439,442,450,452,453,458,466,470,474,
478,479,485,490,494,502,512,518,521,523,526,529,530,541,546,549,554,560,570,
577,582,584,585,586,591,672,681,686,687,688,689,690,692,695,696,698,704,709,
712,715,716,719,724,730,731,732,734,736,738,739,740,742,743,744,749,754,755,
756,762,763,766,771,772,773,775,779,781,783,786,805,813,816,819,826,828,831,
836,857,859,860,861,862,863,868,874,876,879,881,885,886,900,901,904,906,909,
919,928,929,930,932,936,946,958,960,961,962,963,964,965,976,980,991,992,1001,
1004,1006,1007,1010,1015,1018,1030,1041,1070,1079,1081,1234,1243,1247,1248,
1249,1253,1255,1257,1263,1266,1275,1281,1295,1299,1303,1310,1312,1321,1326,
1327,1336,1359,1364,1365,1377,1382,1386,1388,1392,1393,1394,1397,1398,1403,
1412,1416,1419,1425,1460,1468,1490,1516,1518,1531,1536,1549,1558,1564,1687,
1694,1701,1716,1718,1719,1721,1727,1739,1785,1790,1795,1805,1820,1986],[1,2,4,
5,6,7,11,13,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,
42,45,46,47,49,65,71,72,73,77,78,80,81,82,84,85,86,87,88,89,99,100,103,104,
107,108,109,112,113,114,115,117,118,121,123,126,127,130,132,133,137,138,139,
140,141,143,145,147,148,149,155,156,157,158,164,165,166,167,168,170,171,172,
173,174,175,176,177,182,184,185,186,187,191,192,194,195,196,203,205,208,211,
263,265,267,270,272,273,274,275,278,288,289,291,292,293,294,295,298,299,304,
306,309,310,311,313,315,316,317,319,325,326,327,330,331,332,335,337,339,340,
345,346,350,351,353,354,359,367,368,370,371,372,373,374,377,380,381,383,385,
387,391,394,395,396,397,398,400,401,403,407,409,410,416,421,422,424,430,432,
436,437,445,455,456,459,461,471,473,477,487,491,514,525,532,535,548,550,558,
561,565,570,572,573,585,587,588,593,597,678,686,688,690,696,705,708,710,711,
717,729,733,734,738,741,746,747,752,753,755,757,758,762,767,768,772,773,774,
779,780,784,797,801,802,804,808,809,811,815,818,819,822,828,830,840,841,843,
869,872,873,878,890,892,896,900,904,920,922,926,931,933,934,937,938,943,945,
951,960,961,965,968,969,975,977,987,993,994,997,998,1002,1003,1005,1008,1009,
1012,1013,1015,1020,1022,1026,1028,1036,1073,1087,1253,1255,1266,1273,1277,
1282,1284,1285,1295,1297,1306,1327,1338,1351,1373,1433,1438,1447,1464,1465,
1470,1476,1482,1486,1489,1496,1497,1498,1504,1509,1513,1520,1539,1541,1547,
1701,1746,1754,1755,1763,1789,1800,1987],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,
20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,65,66,69,71,72,73,74,77,78,79,80,81,83,84,85,86,87,89,92,93,99,
100,101,102,103,104,105,106,107,108,109,111,112,113,114,115,116,117,118,120,
121,122,123,124,126,127,128,129,132,134,135,137,138,139,140,141,142,143,144,
147,149,150,153,155,156,157,158,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,182,184,185,186,187,188,189,190,191,192,194,195,198,199,201,203,
205,208,210,211,212,214,219,259,263,265,269,272,276,277,278,280,282,285,288,
289,292,294,295,297,299,301,302,304,306,308,309,311,312,314,315,316,320,321,
322,324,325,326,327,328,329,330,331,332,335,336,338,339,340,345,347,349,350,
351,353,354,355,356,357,359,360,361,362,363,364,365,366,367,370,371,372,373,
374,377,379,380,381,383,386,389,390,391,392,394,396,397,398,399,400,402,403,
404,405,406,407,409,410,411,414,415,416,418,421,422,423,424,432,433,434,436,
437,440,443,444,445,447,457,459,460,465,467,476,477,486,489,493,499,501,504,
508,511,513,514,517,524,528,534,539,540,542,543,547,550,552,557,558,561,562,
564,565,570,571,572,573,574,585,587,588,592,593,594,596,597,674,677,680,682,
686,687,692,695,705,707,711,713,714,716,720,721,725,726,728,735,737,745,746,
747,748,751,752,755,757,759,760,761,764,765,767,768,769,770,777,778,782,783,
784,785,787,788,789,790,791,792,793,799,811,814,815,820,832,834,837,840,841,
842,843,846,851,852,854,858,863,872,882,883,887,890,895,899,900,904,907,921,
922,924,926,929,930,933,941,943,951,965,966,967,971,972,973,975,977,981,985,
990,993,994,996,999,1000,1001,1005,1012,1013,1014,1016,1021,1022,1023,1026,
1029,1032,1035,1036,1049,1050,1051,1056,1058,1059,1074,1077,1090,1091,1094,
1111,1117,1118,1238,1252,1260,1263,1271,1272,1273,1279,1280,1283,1286,1289,
1296,1302,1304,1305,1307,1309,1311,1317,1318,1319,1322,1328,1331,1332,1334,
1340,1341,1344,1346,1347,1348,1355,1363,1366,1368,1369,1372,1377,1378,1380,
1381,1390,1414,1437,1453,1454,1491,1496,1498,1534,1550,1554,1555,1561,1686,
1713,1714,1732,1738,1744,1745,1760,1762,1766,1772,1788,1809,1816,1819,1988],[
1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,35,36,37,38,39,40,41,42,43,45,46,48,50,51,52,53,66,68,69,71,72,73,74,75,77,
78,79,80,81,82,84,85,86,87,89,90,92,93,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,115,116,117,119,120,121,122,124,125,126,127,128,129,131,
132,136,138,139,140,141,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,162,163,164,165,168,169,171,172,173,175,176,177,178,179,
182,184,185,186,187,188,189,190,192,193,194,195,197,200,201,203,204,205,219,
220,223,261,269,272,273,277,279,280,281,282,284,285,288,291,292,293,295,298,
299,300,302,304,306,308,310,311,312,313,314,315,317,318,319,320,321,322,323,
324,325,328,329,331,333,334,336,337,340,346,347,348,349,350,351,352,354,356,
359,361,362,363,364,367,368,370,371,373,374,376,377,378,379,380,381,382,383,
385,389,391,392,393,394,396,398,399,400,401,406,408,409,410,413,414,415,416,
418,419,421,422,423,424,426,428,429,431,432,433,436,437,441,443,444,446,447,
449,451,452,453,457,462,465,466,475,476,480,483,488,489,490,499,500,502,504,
508,509,511,516,517,522,528,531,536,540,541,543,546,549,550,551,552,553,554,
555,561,563,564,568,574,577,584,590,592,593,594,595,597,677,683,687,691,693,
697,702,707,709,712,713,714,717,718,720,723,724,725,729,737,738,740,744,746,
749,751,760,761,764,772,774,778,781,782,784,785,787,788,790,791,793,798,802,
803,804,807,810,814,820,822,823,824,825,833,838,840,842,844,850,851,856,858,
862,865,869,871,872,880,882,883,884,887,889,890,891,892,896,898,902,903,912,
914,915,918,921,923,925,929,931,932,933,934,935,937,938,940,943,944,950,953,
955,960,963,966,968,969,972,974,975,979,981,985,990,991,992,993,997,1000,1003,
1004,1005,1007,1008,1013,1014,1018,1023,1025,1027,1029,1036,1047,1048,1058,
1068,1069,1076,1090,1094,1107,1244,1245,1251,1274,1276,1280,1289,1293,1298,
1305,1307,1308,1309,1318,1322,1325,1340,1341,1343,1349,1352,1355,1360,1364,
1366,1367,1373,1375,1376,1379,1381,1383,1385,1389,1390,1404,1406,1408,1410,
1413,1414,1430,1441,1443,1444,1456,1473,1476,1512,1528,1535,1540,1545,1547,
1549,1564,1568,1688,1743,1750,1751,1759,1766,1768,1776,1781,1786,1787,1792,
1812,1817,1819,1989],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,
66,68,69,71,72,73,74,75,77,78,79,80,81,82,84,85,86,87,89,90,92,93,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,124,125,126,127,128,129,131,132,134,135,136,138,139,140,141,142,143,144,
145,146,147,148,149,150,151,152,154,155,156,157,158,159,160,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,181,182,184,185,186,
187,189,190,191,192,194,195,197,198,201,203,204,205,206,208,210,211,212,214,
215,216,221,222,223,261,269,273,277,278,279,280,281,282,284,285,291,292,293,
295,297,298,299,300,302,304,306,308,310,312,313,314,315,317,318,319,320,321,
322,323,325,326,328,329,330,333,334,336,337,339,340,345,346,347,348,349,350,
351,352,353,355,356,359,362,363,364,368,370,371,373,374,376,377,378,380,381,
382,383,385,389,390,391,392,393,398,399,400,401,402,404,405,406,407,408,409,
410,413,414,415,416,418,419,421,422,423,424,426,428,429,431,432,433,434,436,
437,440,441,444,445,446,451,452,453,457,459,460,462,464,466,467,468,469,475,
480,483,484,486,489,490,492,493,496,497,498,499,501,502,504,505,506,507,508,
509,510,511,514,515,517,519,522,528,529,530,531,532,533,534,535,536,539,540,
541,542,544,546,547,549,550,551,553,554,555,557,558,561,562,563,565,566,571,
572,573,576,577,584,587,588,590,592,593,594,596,597,598,601,682,683,687,691,
693,697,702,707,711,712,714,718,720,721,723,724,725,735,738,739,740,741,744,
749,751,759,761,765,767,770,773,774,780,781,782,785,787,789,790,791,792,800,
801,802,807,808,818,820,822,823,824,825,827,832,839,841,844,845,847,849,850,
851,852,853,854,855,856,862,865,871,873,887,889,890,895,896,897,898,907,908,
910,912,914,916,917,923,924,925,926,929,931,932,935,937,938,941,943,944,950,
951,953,955,956,960,963,969,970,971,972,977,982,983,985,987,988,989,990,991,
992,994,995,996,997,999,1004,1007,1009,1011,1014,1017,1018,1019,1022,1024,
1025,1026,1028,1029,1032,1035,1036,1042,1043,1044,1047,1048,1051,1053,1055,
1056,1059,1060,1061,1064,1069,1071,1072,1074,1076,1077,1078,1080,1089,1091,
1096,1101,1102,1107,1108,1113,1115,1117,1118,1123,1127,1251,1254,1259,1271,
1279,1286,1287,1290,1293,1298,1301,1302,1308,1322,1331,1333,1339,1342,1343,
1348,1351,1352,1355,1357,1363,1364,1366,1367,1368,1372,1374,1376,1380,1384,
1385,1404,1423,1424,1435,1442,1444,1449,1452,1454,1461,1470,1473,1500,1505,
1506,1509,1514,1522,1543,1545,1549,1552,1564,1566,1577,1581,1583,1585,1588,
1589,1709,1717,1722,1730,1742,1747,1762,1782,1792,1793,1797,1806,1809,1814,
1817,1990],[1,2,5,6,8,9,10,11,14,19,21,25,26,33,37,40,41,55,56,58,59,66,75,
100,102,126,136,150,155,204,224,225,226,231,235,236,237,240,246,247,250,261,
282,285,462,553,602,608,615,616,617,621,625,647,702,1139,1140,1148,1151,1152,
1168,1169,1170,1175,1591,1594,1608,1637,1853,1991],[1,2,4,7,8,9,10,11,12,13,
15,22,28,30,46,51,57,60,61,63,67,72,109,113,115,169,172,183,207,224,226,227,
228,229,233,241,255,256,260,391,433,474,526,604,614,631,641,646,667,669,670,
964,1141,1145,1146,1160,1207,1208,1599,1615,1619,1671,1854,1992],[1,2,5,7,8,9,
10,11,19,21,36,38,44,47,56,57,58,60,63,66,75,101,118,142,149,174,222,224,225,
226,231,235,237,240,242,244,251,252,261,434,440,484,507,604,615,617,629,644,
654,663,664,671,970,1139,1140,1148,1151,1152,1165,1167,1180,1185,1592,1593,
1648,1654,1659,1853,1993],[1,2,3,4,8,9,10,11,12,13,15,16,17,22,54,61,62,67,69,
72,74,84,116,224,226,227,228,229,233,241,260,291,322,603,609,641,642,684,1141,
1145,1146,1160,1600,1617,1854,1994],[1,2,4,5,8,9,10,11,12,13,15,21,22,27,55,
58,61,66,67,72,85,128,132,224,226,227,228,229,233,241,260,289,328,602,611,615,
641,681,1141,1145,1146,1160,1601,1620,1854,1995],[1,2,3,5,7,8,9,10,11,16,17,
19,21,28,30,50,53,54,56,57,58,62,66,74,75,105,107,110,113,119,127,129,159,179,
224,225,226,231,235,237,240,243,245,248,249,261,281,284,382,431,444,446,603,
609,614,615,617,622,640,650,697,1139,1140,1148,1151,1152,1164,1172,1179,1181,
1595,1597,1609,1640,1853,1996],[1,2,4,7,8,9,10,11,12,24,31,36,38,46,51,56,57,
60,61,63,68,96,164,170,174,195,199,207,223,224,226,227,228,229,231,237,238,
241,242,251,255,256,262,463,530,582,586,604,624,626,629,646,654,664,667,668,
669,670,1122,1140,1141,1149,1150,1159,1161,1195,1199,1203,1215,1592,1599,1643,
1655,1666,1669,1855,1997],[1,4,5,6,7,8,9,10,12,14,18,23,35,40,42,43,44,46,51,
52,53,57,58,60,61,63,92,95,143,188,190,197,198,200,206,207,215,217,220,224,
227,228,229,230,234,236,239,241,243,244,253,255,256,271,557,566,568,569,574,
579,604,627,630,646,652,655,659,661,666,667,669,670,1136,1138,1141,1147,1156,
1157,1158,1193,1196,1216,1217,1598,1599,1646,1663,1668,1670,1856,1998],[1,2,3,
9,13,17,56,62,64,65,69,233,245,258,259,605,618,642,1144,1174,1226,1672,1861,
1999],[1,3,6,7,9,18,34,43,45,48,49,52,59,60,62,64,135,180,200,209,213,216,219,
232,253,257,258,599,605,610,633,636,645,651,655,1144,1210,1223,1862,2000],[1,
3,5,7,9,14,19,33,44,47,50,53,55,60,62,64,134,136,179,206,214,221,222,225,234,
254,258,598,605,608,620,640,644,656,661,1144,1201,1225,1860,2001],[1,2,3,4,8,
11,12,13,15,16,17,22,24,31,54,65,67,68,69,70,71,72,74,84,90,96,98,99,116,146,
226,228,259,260,262,263,265,279,291,302,307,322,337,343,439,609,672,674,676,
684,696,718,1146,1149,1229,1234,1237,1600,1674,1864,2002],[1,2,4,5,6,9,11,12,
13,14,15,18,19,20,21,22,23,25,26,27,29,33,35,37,39,40,41,42,55,66,67,72,73,75,
77,79,85,86,88,92,93,95,100,102,104,111,121,126,128,132,133,136,139,141,143,
150,155,156,162,165,171,175,176,177,192,203,204,227,233,234,253,260,261,267,
269,271,274,277,280,282,285,289,292,295,318,328,338,341,363,364,369,370,377,
389,413,415,426,462,487,489,491,504,508,553,597,611,620,673,681,691,692,702,
708,714,715,761,795,825,851,953,1076,1145,1153,1155,1157,1230,1232,1236,1283,
1298,1601,1625,1679,1865,2003],[1,2,4,7,8,11,12,13,15,22,24,28,30,31,36,38,46,
51,57,65,67,68,70,71,72,78,81,90,96,98,99,103,108,109,113,115,146,164,166,169,
170,172,174,183,195,199,207,223,226,228,260,262,265,272,278,279,293,294,298,
307,327,340,343,345,351,357,372,383,386,391,396,433,439,454,463,466,474,526,
529,530,541,560,582,586,591,614,629,646,672,676,686,690,709,719,724,739,783,
859,860,904,939,964,1018,1041,1070,1083,1122,1134,1146,1149,1229,1249,1262,
1312,1386,1507,1570,1602,1615,1655,1698,1864,2004],[1,2,4,5,6,8,11,12,13,15,
20,21,22,24,27,29,31,32,35,37,41,42,58,65,66,67,68,70,71,72,73,77,79,80,82,83,
85,86,87,88,89,90,95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,
171,175,184,187,226,228,260,262,265,273,274,276,279,280,289,296,300,301,303,
307,310,325,328,329,332,334,335,343,352,369,377,388,395,397,403,408,411,420,
421,422,424,430,439,442,570,577,584,585,615,625,627,672,673,676,679,681,688,
689,693,694,695,722,732,742,744,755,756,763,766,816,868,876,922,976,980,1025,
1030,1057,1146,1149,1229,1247,1258,1299,1300,1313,1394,1604,1616,1620,1676,
1864,2005],[1,2,4,5,6,9,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,
37,39,40,41,42,56,65,66,67,68,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,93,
95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,146,
148,155,156,165,168,171,175,176,177,184,187,192,203,227,233,234,253,260,265,
267,269,271,273,274,276,279,280,285,292,295,300,301,304,307,308,309,310,319,
328,329,332,334,335,341,364,369,370,377,388,389,395,398,403,408,409,411,420,
421,422,424,430,439,442,487,489,491,570,577,584,585,597,618,624,632,672,673,
678,680,688,689,693,694,695,708,710,714,733,747,748,751,752,774,785,795,816,
822,834,868,922,931,990,1025,1057,1145,1153,1155,1157,1230,1258,1265,1284,
1296,1308,1396,1605,1612,1623,1678,1865,2006],[1,2,4,5,6,9,11,12,13,14,15,18,
20,21,22,23,25,26,27,29,32,34,35,37,39,40,41,42,45,59,66,67,72,73,76,77,79,80,
85,86,88,91,92,93,95,100,102,104,120,121,123,126,130,133,137,139,140,141,143,
147,148,155,156,161,162,165,171,175,176,177,186,192,202,203,209,218,227,233,
234,253,260,264,267,269,271,274,275,280,285,287,292,295,299,301,318,321,325,
341,364,369,370,371,377,384,387,389,392,397,412,423,430,448,455,456,461,472,
473,481,482,487,489,491,561,578,580,593,597,612,638,645,673,685,687,708,714,
734,736,742,776,790,795,797,812,836,927,986,998,1033,1036,1092,1103,1132,1145,
1153,1155,1157,1230,1250,1256,1330,1355,1539,1562,1606,1614,1630,1705,1865,
2007],[1,2,4,5,6,9,11,12,13,15,20,21,22,24,27,29,31,32,35,37,41,42,55,56,59,
65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,98,99,100,120,
123,128,132,137,138,141,146,148,165,168,171,175,184,187,227,233,237,246,250,
260,262,265,273,274,276,279,280,289,296,300,301,303,307,310,325,328,329,332,
334,335,343,352,369,377,388,395,397,403,408,411,420,421,422,424,430,439,442,
570,577,584,585,611,612,618,621,624,632,638,672,673,676,679,681,688,689,693,
694,695,722,732,742,744,755,756,763,766,816,868,876,922,976,980,1025,1030,
1057,1145,1161,1173,1178,1187,1204,1205,1229,1247,1258,1299,1300,1313,1394,
1601,1605,1606,1651,1676,1867,1882,1898,2008],[1,2,3,4,5,6,7,8,11,12,13,14,15,
16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,40,41,42,47,48,49,50,54,57,
58,66,67,69,72,73,74,77,78,79,81,84,86,88,92,93,95,100,101,102,103,104,105,
106,107,108,112,113,114,116,117,118,121,122,124,126,127,129,133,134,135,139,
141,143,149,155,156,165,166,171,173,174,175,176,177,182,189,191,192,194,201,
203,205,208,210,211,212,226,228,236,248,252,260,267,269,271,274,280,285,291,
292,293,295,306,312,314,315,320,322,330,331,336,340,341,345,353,354,356,359,
362,364,369,370,373,377,385,389,394,396,400,401,402,404,405,406,407,418,432,
436,440,444,459,460,467,486,487,489,491,514,517,540,542,562,565,573,587,588,
592,594,596,597,609,614,615,623,625,627,629,673,677,682,684,701,707,708,711,
714,719,720,721,727,735,746,760,762,764,781,791,795,810,820,830,841,854,869,
872,873,914,966,968,987,994,1013,1017,1020,1051,1056,1074,1117,1146,1158,1175,
1180,1181,1194,1214,1230,1286,1289,1301,1329,1349,1391,1502,1513,1600,1602,
1604,1638,1681,1868,1883,1885,2009],[1,2,4,5,6,10,11,12,13,15,19,20,21,22,24,
27,29,31,32,41,42,61,66,67,68,70,71,72,73,75,77,79,80,82,85,89,90,94,96,98,99,
111,128,132,137,138,140,146,148,161,162,165,168,184,187,229,231,238,240,261,
262,266,270,273,277,279,280,287,296,299,300,303,307,316,318,321,325,328,334,
343,352,360,368,387,397,403,408,413,421,426,430,439,442,485,512,577,585,626,
634,641,657,675,676,679,683,687,691,693,698,712,722,731,732,743,744,749,750,
756,766,771,779,813,828,836,861,862,868,874,876,885,919,958,976,1001,1148,
1150,1154,1231,1251,1281,1313,1315,1345,1350,1403,1468,1610,1611,1626,1639,
1682,1866,2010],[1,2,4,5,6,7,9,11,12,13,14,15,18,20,21,22,23,25,26,28,29,30,
35,37,39,40,41,42,43,44,46,51,52,53,60,66,67,72,73,77,79,86,88,92,93,95,100,
102,104,109,110,113,115,119,121,125,126,131,133,139,141,142,143,153,155,156,
159,163,165,169,171,172,175,176,177,181,183,188,190,192,193,197,198,200,203,
206,207,215,217,220,227,233,234,253,260,267,269,271,274,280,285,292,295,323,
333,341,348,349,355,361,364,369,370,376,377,378,379,389,390,391,399,428,431,
433,434,443,449,464,468,474,479,487,488,489,491,500,505,516,518,519,526,557,
559,564,566,568,569,571,574,576,579,583,595,597,631,655,661,667,673,708,713,
714,740,782,789,795,798,831,833,838,847,866,867,916,917,964,1024,1027,1046,
1064,1068,1090,1105,1118,1131,1133,1135,1136,1145,1153,1155,1157,1230,1280,
1287,1320,1335,1360,1363,1574,1580,1613,1619,1621,1668,1758,1865,2011],[1,2,3,
4,5,6,7,9,11,12,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,
40,41,42,47,48,49,50,62,66,67,69,72,73,74,77,78,79,81,84,86,88,92,93,95,100,
101,102,103,104,105,106,107,108,112,113,114,116,117,118,121,122,124,126,127,
129,133,134,135,139,141,143,149,155,156,165,166,171,173,174,175,176,177,182,
189,191,192,194,201,203,205,208,210,211,212,227,233,234,253,260,267,269,271,
274,280,285,291,292,293,295,306,312,314,315,320,322,330,331,336,340,341,345,
353,354,356,359,362,364,369,370,373,377,385,389,394,396,400,401,402,404,405,
406,407,418,432,436,440,444,459,460,467,486,487,489,491,514,517,540,542,562,
565,573,587,588,592,594,596,597,642,651,656,673,677,682,684,701,707,708,711,
714,719,720,721,727,735,746,760,762,764,781,791,795,810,820,830,841,854,869,
872,873,914,966,968,987,994,1013,1017,1020,1051,1056,1074,1117,1145,1153,1155,
1157,1230,1286,1289,1301,1329,1349,1391,1502,1513,1617,1622,1627,1661,1681,
1865,2012],[1,2,3,5,6,7,9,13,17,20,21,26,27,28,29,30,32,34,36,37,38,39,40,41,
45,48,50,55,56,59,60,62,65,69,77,78,81,86,87,89,91,94,103,105,122,123,124,129,
132,137,139,140,144,149,155,161,167,172,173,176,178,182,186,189,196,201,202,
205,218,232,233,242,245,246,254,257,259,292,294,297,309,311,320,324,327,332,
335,336,339,356,359,367,373,409,414,436,445,455,482,499,512,524,525,561,567,
578,581,592,594,611,612,618,619,631,635,637,642,643,648,703,705,752,769,777,
799,820,878,920,961,981,999,1012,1033,1034,1045,1082,1162,1174,1178,1190,1197,
1213,1220,1267,1319,1447,1475,1485,1489,1510,1603,1632,1823,1874,1876,1890,
2013],[1,2,5,6,7,9,13,14,16,18,19,20,21,25,26,27,28,30,33,34,36,38,41,43,44,
45,52,53,55,56,59,65,75,76,77,78,81,84,87,97,101,102,103,104,106,107,110,111,
112,117,119,123,125,127,130,131,132,136,142,147,149,150,151,152,153,154,157,
158,159,160,162,163,172,173,181,182,193,194,200,202,204,206,209,225,232,233,
246,249,251,263,269,283,284,288,294,306,308,312,314,315,326,327,332,342,347,
348,358,359,367,373,374,375,376,379,380,384,390,392,400,413,415,419,425,429,
432,445,446,450,451,458,461,462,464,465,469,472,477,483,484,488,492,495,498,
500,504,505,509,510,515,517,521,523,527,531,534,537,540,545,546,547,549,550,
552,555,608,610,611,612,613,616,617,618,619,628,658,680,700,707,720,726,757,
770,788,800,812,823,829,832,837,838,842,845,846,847,849,852,865,877,880,884,
900,907,912,913,921,940,949,953,957,974,1000,1006,1011,1012,1037,1071,1096,
1108,1116,1120,1123,1126,1128,1129,1166,1167,1169,1171,1178,1179,1182,1184,
1186,1212,1270,1347,1402,1407,1418,1424,1430,1431,1445,1494,1505,1528,1544,
1546,1550,1607,1629,1636,1647,1821,1880,1896,1897,2014],[1,2,3,4,9,11,12,13,
15,16,17,22,24,31,56,62,65,67,68,69,70,71,72,74,84,90,96,98,99,116,146,227,
233,237,245,249,259,260,262,263,265,279,291,302,307,322,337,343,439,618,624,
632,642,650,672,674,676,684,696,718,1145,1161,1166,1173,1174,1229,1234,1237,
1605,1617,1641,1674,1867,1887,1891,2015],[1,2,4,5,6,7,8,11,12,13,15,20,21,22,
28,29,30,33,35,36,37,38,41,42,46,47,49,51,52,53,57,58,66,67,72,73,77,78,79,81,
86,88,95,100,101,103,106,108,109,110,113,114,115,118,119,125,131,141,149,150,
159,163,165,166,169,171,172,173,174,175,182,183,190,191,197,205,207,211,217,
221,226,228,243,247,252,260,274,280,282,293,312,314,323,330,331,333,340,345,
348,349,353,354,359,363,369,373,376,377,378,385,391,396,399,402,404,405,415,
428,431,433,436,440,474,479,496,498,510,518,526,533,559,565,569,588,614,615,
625,627,629,646,653,673,719,721,740,761,764,782,810,827,831,849,855,866,867,
872,915,940,964,983,994,1017,1020,1046,1077,1089,1146,1170,1172,1180,1196,
1214,1236,1271,1276,1320,1374,1381,1391,1602,1604,1615,1657,1779,1879,1885,
1888,2016],[1,2,3,4,6,9,11,13,15,16,17,20,22,29,31,32,34,35,36,37,56,62,65,69,
71,72,73,74,76,80,82,84,86,88,89,91,94,99,103,116,137,140,148,161,164,171,201,
232,233,237,245,249,259,263,264,265,266,273,274,287,293,294,298,299,302,310,
322,335,346,356,395,401,414,430,448,482,485,512,613,618,632,637,642,643,650,
674,688,690,703,723,727,743,753,769,776,817,944,961,1166,1173,1174,1183,1209,
1235,1246,1253,1267,1269,1603,1641,1677,1876,1877,1878,2017],[1,2,3,4,5,6,7,8,
11,12,13,15,16,17,19,20,21,22,27,28,29,30,35,36,37,38,41,42,46,48,50,51,52,53,
54,57,58,66,67,69,72,73,74,75,77,78,79,81,84,85,86,88,95,100,103,105,107,108,
109,110,111,112,113,115,116,117,119,122,124,125,127,128,129,131,132,141,144,
151,152,154,157,158,159,160,162,163,165,166,169,171,172,174,175,178,179,183,
189,190,194,197,201,207,208,217,226,228,235,243,248,260,261,274,277,280,281,
284,289,291,293,306,315,318,320,322,323,328,333,336,338,340,345,348,349,356,
362,369,376,377,378,382,391,393,394,396,399,400,401,406,407,413,418,419,426,
428,429,431,432,433,441,444,446,451,457,474,475,479,480,483,490,499,502,509,
511,518,522,526,528,531,536,546,549,550,551,554,555,559,562,569,596,609,614,
615,622,625,627,629,646,673,681,684,691,692,697,715,719,727,740,762,781,782,
791,831,854,856,865,866,867,871,873,898,912,923,928,930,932,950,964,966,968,
972,973,1004,1007,1015,1046,1047,1107,1146,1152,1172,1181,1194,1196,1232,1320,
1329,1352,1367,1378,1393,1460,1462,1490,1517,1600,1602,1604,1609,1615,1620,
1767,1883,1888,1895,1904,1909,2018],[1,2,4,5,6,9,11,13,15,18,20,21,22,23,25,
26,27,29,31,32,34,35,37,39,40,41,42,45,55,56,59,65,71,72,73,76,77,80,82,86,87,
88,89,91,94,99,100,104,121,123,126,132,133,137,138,139,140,141,143,147,148,
155,156,161,165,168,171,175,176,177,184,186,187,192,202,203,209,218,232,233,
237,246,250,264,265,266,267,273,274,287,292,295,299,304,309,310,319,332,335,
370,371,377,395,398,409,421,422,424,430,448,455,456,472,481,482,485,487,491,
512,561,570,578,580,585,593,597,610,611,612,613,618,619,621,632,635,637,638,
643,678,688,703,708,710,733,743,747,752,774,776,817,822,878,922,927,931,945,
998,1033,1034,1036,1040,1103,1132,1163,1171,1173,1178,1183,1187,1191,1204,
1205,1209,1213,1235,1284,1338,1400,1420,1466,1510,1562,1565,1603,1634,1651,
1715,1874,1877,1886,2019],[1,2,4,5,7,10,11,12,19,21,24,31,32,36,38,44,46,47,
51,63,66,68,75,80,94,96,101,118,138,142,145,149,164,167,170,174,185,195,196,
199,207,222,223,229,231,238,240,261,262,266,270,303,321,334,434,440,463,471,
484,507,530,535,563,572,581,582,586,589,654,668,669,671,679,683,731,835,954,
956,970,1019,1038,1087,1091,1122,1124,1148,1150,1154,1231,1399,1429,1501,1559,
1560,1566,1643,1653,1654,1842,1866,2020],[1,2,6,7,9,13,16,18,28,29,30,32,34,
36,37,38,39,45,56,59,60,65,78,81,84,86,89,91,94,103,137,140,156,161,167,172,
185,186,196,205,208,209,211,218,232,233,242,249,250,263,267,294,311,319,327,
335,339,346,350,353,354,381,394,401,407,410,436,437,455,482,512,525,567,580,
581,593,610,618,631,635,637,638,643,660,678,703,705,753,801,830,843,878,892,
896,920,961,965,1040,1045,1082,1103,1162,1166,1187,1191,1197,1269,1277,1447,
1448,1485,1504,1565,1603,1660,1848,1878,1886,1890,2021],[1,2,3,5,6,7,9,13,14,
17,18,19,20,21,25,26,27,28,30,33,34,38,41,43,44,45,47,48,49,50,52,53,55,56,59,
60,62,65,69,75,76,77,78,81,87,97,102,104,105,110,111,114,118,119,122,123,124,
125,129,130,131,132,134,135,136,142,144,147,150,151,152,153,154,159,160,162,
163,172,178,179,180,181,189,191,193,200,202,204,206,209,210,212,213,214,216,
219,221,222,225,232,233,242,245,246,254,257,259,269,281,286,297,308,320,324,
327,330,331,332,336,344,348,376,379,382,384,390,392,393,413,415,416,417,427,
438,441,447,450,458,460,461,462,464,472,475,476,480,486,488,493,496,497,499,
500,501,503,504,505,506,507,520,521,522,523,524,533,536,538,544,546,549,551,
556,598,599,600,601,608,610,611,612,613,616,617,618,619,628,631,633,636,640,
642,644,648,677,680,682,700,768,777,778,792,803,812,823,837,838,839,846,847,
864,871,875,882,883,884,891,913,915,923,924,942,947,953,971,982,983,1006,1011,
1042,1052,1062,1063,1078,1088,1115,1119,1125,1127,1162,1164,1169,1171,1174,
1176,1177,1178,1185,1188,1190,1201,1210,1211,1219,1220,1238,1268,1401,1402,
1413,1431,1432,1435,1474,1479,1499,1506,1532,1555,1568,1607,1628,1632,1642,
1829,1892,1897,1899,2022],[1,2,5,6,9,13,16,20,21,26,27,29,32,34,36,37,39,40,
41,45,55,56,59,65,77,84,86,87,89,91,94,101,103,106,123,132,137,139,140,145,
155,161,176,186,194,196,202,218,232,233,246,249,251,263,292,294,309,312,313,
314,317,332,335,346,347,374,380,385,400,401,409,432,455,482,512,525,561,575,
578,589,611,612,618,619,635,637,643,658,703,726,752,753,758,807,844,878,900,
914,920,961,1031,1033,1034,1039,1110,1166,1178,1182,1213,1218,1269,1387,1448,
1463,1464,1489,1510,1603,1629,1833,1874,1875,1878,2023],[1,2,3,4,5,6,7,8,11,
12,13,15,16,17,20,21,22,28,29,30,33,35,36,37,38,41,42,43,44,48,50,54,57,58,66,
67,69,72,73,74,77,78,79,81,84,86,88,95,100,103,105,107,108,112,113,116,117,
122,124,127,129,141,142,150,153,165,166,171,174,175,188,189,194,198,201,208,
214,226,228,244,247,248,260,274,280,282,291,293,306,315,320,322,336,340,345,
355,356,361,362,363,369,377,379,390,394,396,400,401,406,407,415,418,432,434,
443,444,493,501,534,547,562,579,583,596,609,614,615,625,627,629,665,673,684,
713,719,727,761,762,781,789,791,854,873,883,907,921,924,966,968,1035,1059,
1105,1146,1165,1170,1181,1193,1194,1236,1325,1329,1335,1368,1384,1390,1600,
1602,1604,1656,1769,1879,1883,1884,2024],[1,2,3,6,9,13,17,18,29,32,34,36,37,
39,45,56,59,62,65,69,86,89,91,94,103,137,140,145,156,161,186,196,201,209,218,
232,233,245,250,251,259,267,294,313,317,319,335,356,385,414,455,482,512,525,
575,580,589,593,610,618,635,637,638,642,643,649,678,701,703,758,769,850,878,
920,961,1039,1040,1103,1110,1174,1182,1187,1191,1218,1242,1267,1463,1464,1475,
1504,1565,1603,1631,1822,1875,1876,1886,2025],[1,2,4,5,6,7,8,11,12,13,15,19,
20,21,22,27,28,29,30,35,36,37,38,41,42,43,44,47,49,57,58,66,67,72,73,75,77,78,
79,81,85,86,88,95,100,101,103,106,108,111,113,114,118,128,132,141,142,149,153,
162,165,166,171,173,174,175,182,188,191,198,205,211,222,226,228,235,244,252,
260,261,274,277,280,289,293,312,314,318,328,330,331,338,340,345,353,354,355,
359,361,369,373,377,379,385,390,396,402,404,405,413,426,434,436,440,443,469,
484,507,544,565,579,583,588,614,615,625,627,629,663,673,681,691,692,713,715,
719,721,764,789,800,803,810,872,880,970,982,994,995,1017,1020,1049,1061,1105,
1146,1152,1165,1180,1193,1214,1232,1272,1274,1333,1335,1344,1391,1602,1604,
1620,1659,1783,1884,1885,1895,2026],[1,2,3,5,6,7,9,13,17,19,20,21,23,25,27,28,
29,30,32,33,34,36,37,38,39,40,41,43,44,45,48,50,52,53,56,59,62,65,69,75,76,77,
78,81,86,87,89,97,101,103,105,106,110,111,119,121,122,123,124,125,126,129,130,
131,132,137,142,144,147,150,151,152,153,154,159,160,162,163,172,178,179,180,
185,189,201,203,204,211,214,215,218,219,220,225,232,233,245,250,251,259,281,
286,294,295,297,304,312,314,320,324,327,332,335,336,344,347,348,350,353,354,
356,376,379,381,382,384,390,392,393,398,413,414,415,417,427,438,441,447,449,
450,458,467,468,469,473,475,476,480,481,484,492,493,495,498,499,501,508,510,
515,516,519,521,522,523,524,536,538,542,545,546,549,551,553,556,613,616,617,
618,628,633,635,638,640,642,649,700,725,726,735,747,760,769,777,787,800,825,
829,837,843,845,846,849,858,871,875,880,882,883,895,910,911,918,923,924,940,
947,955,957,971,974,986,1006,1024,1027,1060,1062,1072,1084,1088,1093,1098,
1099,1101,1113,1163,1164,1167,1168,1174,1176,1182,1186,1187,1211,1268,1317,
1406,1445,1446,1459,1492,1493,1500,1535,1543,1544,1548,1555,1557,1607,1631,
1633,1649,1824,1880,1889,1899,2027],[1,2,4,5,6,8,11,12,13,14,15,18,19,20,21,
22,23,25,26,27,29,33,35,37,39,40,41,42,58,66,67,72,73,75,77,79,85,86,88,92,93,
95,100,102,104,111,121,126,128,132,133,136,139,141,143,150,155,156,162,165,
171,175,176,177,192,203,204,226,228,235,236,247,260,261,267,269,271,274,277,
280,282,285,289,292,295,318,328,338,341,363,364,369,370,377,389,413,415,426,
462,487,489,491,504,508,553,597,615,625,627,647,673,681,691,692,702,708,714,
715,761,795,825,851,953,1076,1146,1152,1158,1170,1175,1230,1232,1236,1283,
1298,1604,1620,1637,1679,1868,1879,1895,2028],[1,2,5,6,7,9,13,16,19,20,21,23,
25,27,28,29,30,32,33,34,37,38,39,40,41,43,44,45,47,49,52,53,56,59,60,65,75,76,
77,78,81,84,86,87,89,97,107,110,111,112,114,117,118,119,121,123,125,126,127,
130,131,132,137,142,147,150,151,152,153,154,157,158,159,160,162,163,167,172,
191,203,204,205,208,213,215,216,218,220,221,222,225,232,233,242,249,250,263,
283,284,288,295,304,306,311,315,326,327,330,331,332,335,339,342,348,358,375,
376,379,384,390,392,394,398,407,410,413,415,416,419,425,429,436,437,446,449,
450,451,458,459,465,468,473,477,481,483,496,497,503,506,507,508,509,514,516,
519,520,521,523,527,531,533,534,537,544,546,547,549,550,552,553,555,613,616,
617,618,628,631,635,636,638,644,660,700,705,711,746,747,757,767,768,784,803,
825,837,839,842,846,852,864,865,877,891,907,910,911,912,915,918,921,926,933,
942,949,955,965,982,983,986,1006,1024,1027,1043,1044,1055,1080,1085,1097,1109,
1112,1120,1126,1162,1163,1166,1168,1177,1179,1184,1185,1187,1212,1270,1273,
1408,1421,1422,1423,1432,1449,1471,1492,1493,1521,1532,1540,1550,1607,1644,
1658,1660,1832,1889,1892,1896,2029],[1,2,3,4,5,6,7,9,11,13,15,16,17,19,20,21,
22,27,28,29,30,31,34,38,41,42,46,48,50,52,53,56,62,65,66,69,71,72,73,74,75,76,
77,78,79,81,83,84,85,87,91,97,99,105,107,108,109,110,111,112,113,115,116,117,
119,120,122,123,124,125,127,128,129,130,131,132,144,151,152,154,157,158,159,
160,162,163,165,170,172,178,179,180,189,197,225,232,233,237,245,249,259,261,
263,264,265,268,272,275,276,277,278,280,281,283,284,286,288,290,297,301,302,
305,306,315,318,320,322,323,324,326,327,328,329,332,333,336,340,342,344,348,
358,362,372,375,376,378,382,384,391,393,406,411,412,413,417,418,419,425,426,
427,428,429,431,435,438,441,444,446,450,451,457,458,470,475,477,478,480,483,
490,494,499,502,509,511,513,521,522,523,524,527,528,531,536,537,538,539,543,
546,549,550,551,554,555,556,613,617,618,628,632,633,637,640,642,650,674,685,
686,691,695,697,699,700,704,740,745,757,759,775,777,791,793,796,826,856,865,
870,871,875,877,894,898,899,901,909,912,923,936,947,948,949,950,959,972,1006,
1007,1047,1062,1075,1086,1088,1100,1107,1111,1120,1121,1126,1130,1151,1164,
1166,1173,1174,1176,1179,1183,1184,1189,1211,1212,1233,1248,1252,1268,1270,
1294,1367,1480,1537,1563,1607,1635,1640,1641,1667,1675,1893,1896,1899,2030],[
1,2,4,6,7,9,11,13,15,20,22,28,29,30,31,32,34,35,36,37,38,56,60,65,71,72,73,76,
78,80,81,82,86,88,89,91,94,99,103,137,140,145,148,161,166,167,171,172,174,185,
195,196,205,211,232,233,237,242,251,264,265,266,273,274,287,294,299,310,311,
313,317,327,335,339,345,350,351,353,354,381,383,385,395,396,430,436,448,471,
482,485,512,525,532,535,548,567,575,581,589,613,618,631,632,637,643,664,688,
703,705,717,729,741,743,758,776,780,809,817,843,904,920,997,1002,1020,1038,
1039,1045,1067,1082,1110,1137,1162,1173,1182,1183,1197,1209,1218,1235,1282,
1306,1439,1463,1467,1481,1485,1508,1603,1652,1664,1771,1875,1877,1890,2031],[
1,2,4,5,6,7,9,11,13,15,19,20,21,22,27,28,29,30,31,34,36,38,41,42,43,44,47,49,
56,60,65,66,71,72,73,75,76,77,78,79,81,83,85,87,91,97,99,101,103,106,111,114,
118,120,123,128,130,132,142,149,153,162,165,166,172,173,174,182,188,191,195,
198,213,222,225,232,233,237,242,251,261,264,265,268,275,276,277,280,294,301,
312,314,318,327,328,329,330,331,332,345,347,351,355,359,361,367,373,379,383,
384,390,396,402,404,405,411,412,413,416,426,434,440,443,445,450,469,470,484,
495,503,507,520,544,545,613,617,618,628,631,632,636,637,644,664,685,691,695,
700,713,721,726,737,764,765,768,775,789,800,803,829,837,848,864,870,880,887,
893,904,942,957,970,982,995,1012,1016,1021,1061,1065,1151,1162,1167,1173,1177,
1182,1183,1185,1186,1189,1233,1274,1291,1333,1346,1369,1370,1432,1445,1511,
1556,1607,1645,1648,1652,1807,1880,1892,1893,2032],[1,2,4,5,6,9,11,12,13,15,
16,20,21,22,24,27,29,31,32,36,41,42,51,55,56,59,65,66,67,68,71,72,73,77,79,80,
83,84,85,87,90,96,98,99,103,120,123,128,132,137,138,146,148,164,165,169,184,
187,194,199,227,233,246,249,251,260,263,265,276,279,280,289,291,293,294,296,
298,301,307,325,328,329,332,334,337,352,357,374,380,386,397,400,403,411,430,
432,433,439,442,577,582,585,591,611,612,618,624,632,638,658,672,681,690,695,
696,742,744,754,755,756,763,781,783,868,900,932,946,963,980,1030,1070,1145,
1166,1178,1182,1199,1205,1234,1257,1312,1327,1359,1365,1394,1601,1605,1606,
1629,1721,1887,1894,1898,2033],[1,2,4,7,9,11,12,13,15,22,24,28,30,31,36,38,46,
51,56,60,65,67,68,70,71,72,78,81,90,96,98,99,103,108,109,113,115,146,164,166,
169,170,172,174,183,195,199,207,223,227,233,237,242,251,260,262,265,272,278,
279,293,294,298,307,327,340,343,345,351,357,372,383,386,391,396,433,439,454,
463,466,474,526,529,530,541,560,582,586,591,618,624,631,632,664,667,672,676,
686,690,709,719,724,739,783,859,860,904,939,964,1018,1041,1070,1083,1122,1134,
1145,1161,1162,1173,1182,1195,1199,1229,1249,1262,1312,1386,1507,1570,1605,
1619,1652,1666,1698,1867,1881,1894,2034],[1,2,3,4,6,9,11,12,13,15,16,17,20,22,
24,27,29,31,32,35,36,37,51,56,59,62,65,67,68,69,71,72,73,74,80,82,84,85,86,88,
89,90,96,98,99,103,116,120,123,137,146,148,164,168,169,171,184,187,199,201,
227,233,245,250,251,259,260,263,265,273,274,279,289,291,293,294,298,300,301,
302,303,307,310,322,325,335,337,346,352,356,357,386,395,397,401,403,414,430,
433,439,442,570,582,584,591,612,618,624,632,638,642,649,672,674,684,688,690,
696,718,723,727,742,753,755,766,769,783,816,876,944,973,976,980,1029,1070,
1081,1145,1174,1182,1187,1199,1204,1237,1246,1299,1311,1312,1327,1382,1605,
1606,1617,1631,1774,1882,1891,1894,2035],[1,2,3,4,5,6,7,9,11,12,13,15,16,17,
20,21,22,24,27,28,29,30,31,32,38,41,42,46,48,50,51,55,56,59,60,62,65,66,67,68,
69,71,72,73,74,77,78,79,80,81,83,84,85,87,90,96,98,99,105,107,108,109,112,113,
115,116,117,120,122,123,124,127,128,129,132,137,138,144,146,148,157,158,165,
169,170,172,178,183,184,187,189,199,207,223,227,233,242,245,246,254,257,259,
260,263,265,272,276,278,279,280,288,289,291,296,297,301,302,306,307,315,320,
322,324,325,326,327,328,329,332,334,336,337,340,352,357,362,372,386,391,397,
403,406,411,418,430,433,439,442,444,457,466,474,477,499,511,513,524,526,528,
539,541,543,550,560,577,585,586,611,612,618,624,631,632,638,642,648,667,672,
674,681,684,686,695,696,718,742,744,745,755,756,757,759,763,777,783,791,793,
859,860,868,899,928,932,946,964,972,973,980,992,1018,1029,1030,1041,1111,1145,
1162,1174,1178,1190,1195,1205,1220,1237,1252,1311,1365,1386,1394,1397,1415,
1517,1530,1545,1601,1605,1606,1617,1619,1632,1784,1881,1891,1898,1901,1908,
2036],[1,2,4,5,6,7,8,11,12,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,39,40,
41,42,43,44,46,51,52,53,57,58,66,67,72,73,77,79,86,88,92,93,95,100,102,104,
109,110,113,115,119,121,125,126,131,133,139,141,142,143,153,155,156,159,163,
165,169,171,172,175,176,177,181,183,188,190,192,193,197,198,200,203,206,207,
215,217,220,226,228,236,243,244,260,267,269,271,274,280,285,292,295,323,333,
341,348,349,355,361,364,369,370,376,377,378,379,389,390,391,399,428,431,433,
434,443,449,464,468,474,479,487,488,489,491,500,505,516,518,519,526,557,559,
564,566,568,569,571,574,576,579,583,595,597,614,615,625,627,646,666,673,708,
713,714,740,782,789,795,798,831,833,838,847,866,867,916,917,964,1024,1027,
1046,1064,1068,1090,1105,1118,1131,1133,1135,1136,1146,1158,1165,1172,1175,
1193,1196,1230,1280,1287,1320,1335,1360,1363,1574,1580,1604,1615,1650,1663,
1758,1868,1884,1888,2037],[1,2,4,5,6,9,11,13,14,15,18,19,20,21,22,23,25,26,27,
29,31,32,33,34,35,37,39,40,41,42,45,55,56,59,65,66,71,72,73,75,76,77,79,83,85,
86,87,89,91,92,93,97,99,100,102,104,111,120,121,123,126,128,130,132,136,137,
138,139,141,143,147,150,155,156,162,165,168,171,175,176,177,184,186,187,192,
202,203,204,209,218,225,232,233,237,246,250,261,264,265,268,269,275,276,277,
280,282,285,292,295,301,304,308,309,318,328,329,332,335,363,364,370,371,377,
384,389,392,398,409,411,412,413,415,421,422,423,424,426,450,461,462,470,472,
473,481,489,504,508,553,570,578,580,585,597,608,610,611,612,613,616,617,618,
619,621,628,632,635,637,638,680,685,691,695,700,702,714,747,748,751,752,761,
775,785,790,797,812,823,825,834,846,851,870,911,913,922,927,953,955,967,986,
990,1076,1092,1151,1163,1168,1169,1171,1173,1178,1183,1187,1189,1191,1204,
1205,1213,1233,1296,1298,1330,1332,1362,1385,1402,1428,1450,1492,1607,1608,
1634,1651,1724,1889,1893,1897,2038],[1,2,4,6,7,9,11,12,13,15,16,20,22,24,27,
28,29,30,31,32,35,37,38,46,51,56,59,60,65,67,68,71,72,73,78,80,81,82,84,85,86,
88,89,90,96,98,99,108,109,113,115,120,123,137,146,148,168,169,170,171,172,183,
184,187,199,207,208,223,227,233,242,249,250,260,263,265,272,273,274,278,279,
289,291,300,301,303,307,310,325,327,335,337,340,352,357,372,386,391,394,395,
397,403,407,410,430,433,437,439,442,466,474,526,541,560,570,584,586,612,618,
624,631,632,638,660,667,672,686,688,696,738,742,755,762,766,772,773,783,816,
859,860,876,928,964,965,976,980,992,1018,1041,1081,1145,1162,1166,1187,1195,
1204,1234,1266,1299,1359,1382,1386,1397,1605,1606,1619,1660,1716,1881,1882,
1887,2039],[1,2,4,5,6,7,10,11,12,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,
39,40,41,42,43,44,46,51,52,53,61,63,66,67,72,73,77,79,86,88,92,93,95,100,102,
104,109,110,113,115,119,121,125,126,131,133,139,141,142,143,153,155,156,159,
163,165,169,171,172,175,176,177,181,183,188,190,192,193,197,198,200,203,206,
207,215,217,220,229,230,239,241,255,256,260,267,269,271,274,280,285,292,295,
323,333,341,348,349,355,361,364,369,370,376,377,378,379,389,390,391,399,428,
431,433,434,443,449,464,468,474,479,487,488,489,491,500,505,516,518,519,526,
557,559,564,566,568,569,571,574,576,579,583,595,597,630,639,641,652,659,662,
669,670,673,708,713,714,740,782,789,795,798,831,833,838,847,866,867,916,917,
964,1024,1027,1046,1064,1068,1090,1105,1118,1131,1133,1135,1136,1147,1156,
1160,1198,1202,1206,1207,1208,1216,1217,1230,1280,1287,1320,1335,1360,1363,
1574,1580,1618,1646,1665,1670,1671,1758,1869,1900,1916,2040],[1,2,4,7,10,11,
12,13,15,22,24,28,30,31,36,38,46,51,61,63,65,67,68,70,71,72,78,81,90,96,98,99,
103,108,109,113,115,146,164,166,169,170,172,174,183,195,199,207,223,229,231,
238,241,255,256,260,262,265,272,278,279,293,294,298,307,327,340,343,345,351,
357,372,383,386,391,396,433,439,454,463,466,474,526,529,530,541,560,582,586,
591,626,634,641,654,657,668,669,670,672,676,686,690,709,719,724,739,783,859,
860,904,939,964,1018,1041,1070,1083,1122,1134,1150,1159,1160,1192,1200,1203,
1207,1208,1215,1221,1229,1249,1262,1312,1386,1507,1570,1626,1643,1662,1669,
1671,1698,1873,1917,1923,2041],[1,2,4,7,10,11,12,13,15,22,27,28,30,32,46,51,
61,63,67,72,80,82,83,85,87,89,109,113,115,151,152,154,160,169,172,183,187,196,
207,229,241,255,256,260,273,276,290,305,365,366,391,403,420,422,433,435,452,
453,471,474,490,523,525,526,548,641,669,670,689,704,728,794,952,964,978,991,
1002,1104,1106,1160,1207,1208,1239,1278,1288,1572,1575,1624,1671,1846,1920,
1925,1926,2042],[1,2,3,4,9,11,13,15,16,17,22,27,31,32,51,56,62,65,69,71,72,74,
80,84,85,94,97,99,116,169,187,199,233,237,245,249,259,263,265,266,268,289,302,
322,325,357,360,368,386,397,403,433,618,628,632,642,643,650,674,755,783,919,
962,973,1029,1166,1173,1174,1189,1209,1243,1311,1388,1641,1680,1924,2043],[1,
2,4,5,7,10,11,12,19,21,24,31,32,36,38,44,46,47,51,61,63,66,68,75,80,94,96,101,
118,138,142,145,149,164,167,170,174,185,195,196,199,207,222,223,231,240,241,
255,256,261,262,266,270,303,321,334,434,440,463,471,484,507,530,535,563,572,
581,582,586,589,626,654,670,671,679,683,731,835,954,956,970,1019,1038,1087,
1091,1122,1124,1148,1159,1203,1215,1231,1399,1429,1501,1559,1560,1566,1611,
1654,1669,1842,1870,1915,1929,2044],[1,2,3,6,9,13,17,18,29,32,34,36,37,39,45,
56,59,62,65,69,86,89,91,94,103,137,140,145,156,161,186,196,201,209,218,233,
245,250,251,253,259,267,294,313,317,319,335,356,385,414,455,482,512,525,575,
580,589,593,618,638,642,645,649,678,701,703,758,769,850,878,920,961,1039,1040,
1103,1110,1155,1174,1182,1187,1242,1267,1463,1464,1475,1504,1565,1623,1630,
1631,1661,1822,1902,1905,1914,2045],[1,2,4,6,7,9,11,12,20,24,27,29,31,32,34,
36,38,43,46,49,51,56,60,68,73,76,80,85,91,94,96,97,106,114,145,153,164,167,
168,170,173,174,184,185,195,196,199,207,213,223,227,232,237,242,251,262,264,
266,268,296,300,316,338,352,387,404,442,443,463,471,503,530,535,545,558,581,
582,586,589,590,613,624,628,636,637,643,664,667,706,722,771,848,886,897,902,
905,984,1038,1049,1073,1114,1122,1161,1177,1183,1186,1189,1195,1197,1199,1209,
1218,1241,1417,1427,1457,1458,1488,1529,1645,1664,1666,1830,1906,2046],[1,2,4,
6,7,10,11,12,20,24,27,29,31,32,36,38,43,46,49,51,61,63,68,73,80,85,96,106,114,
130,145,153,161,164,167,168,170,173,174,184,185,195,196,199,207,223,231,241,
255,256,262,270,275,287,296,300,338,352,360,404,442,443,463,471,495,520,530,
535,558,567,575,582,586,590,626,654,670,675,698,722,786,857,893,897,902,905,
984,1049,1067,1087,1114,1122,1154,1159,1203,1215,1240,1478,1488,1523,1529,
1538,1551,1610,1639,1653,1669,1834,1910,1913,1921,2047],[1,2,3,5,6,7,9,13,14,
17,18,19,20,21,25,26,27,28,30,33,34,38,41,43,44,45,47,48,49,50,52,53,55,56,59,
60,62,65,69,75,76,77,78,81,87,97,102,104,105,110,111,114,118,119,122,123,124,
125,129,130,131,132,134,135,136,142,144,147,150,151,152,153,154,159,160,162,
163,172,178,179,180,181,189,191,193,200,202,204,206,209,210,212,213,214,216,
219,221,222,233,234,242,245,246,253,254,257,259,269,281,286,297,308,320,324,
327,330,331,332,336,344,348,376,379,382,384,390,392,393,413,415,416,417,427,
438,441,447,450,458,460,461,462,464,472,475,476,480,486,488,493,496,497,499,
500,501,503,504,505,506,507,520,521,522,523,524,533,536,538,544,546,549,551,
556,598,599,600,601,611,612,618,620,631,642,645,648,651,655,656,661,677,680,
682,700,768,777,778,792,803,812,823,837,838,839,846,847,864,871,875,882,883,
884,891,913,915,923,924,942,947,953,971,982,983,1006,1011,1042,1052,1062,1063,
1078,1088,1115,1119,1125,1127,1153,1162,1174,1178,1190,1220,1223,1225,1238,
1268,1401,1402,1413,1431,1432,1435,1474,1479,1499,1506,1532,1555,1568,1612,
1613,1614,1621,1622,1625,1627,1632,1829,1903,1911,1912,1918,1919,1922,1927,
2048],[1,2,4,5,7,9,11,12,19,21,24,31,32,36,38,44,46,47,51,56,60,66,68,75,80,
94,96,101,118,138,142,145,149,164,167,170,174,185,195,196,199,207,222,223,225,
227,237,242,251,261,262,266,270,303,321,334,434,440,463,471,484,507,530,535,
563,572,581,582,586,589,617,624,643,644,664,667,679,683,731,835,954,956,970,
1019,1038,1087,1091,1122,1124,1151,1161,1167,1185,1195,1197,1199,1209,1218,
1231,1399,1429,1501,1559,1560,1566,1648,1664,1666,1842,1872,2049],[1,2,4,5,7,
8,11,12,19,21,24,31,32,36,38,44,46,47,51,57,58,66,68,75,80,94,96,101,118,138,
142,145,149,164,167,170,174,185,195,196,199,207,222,223,226,228,235,244,252,
261,262,266,270,303,321,334,434,440,463,471,484,507,530,535,563,572,581,582,
586,589,615,629,646,663,679,683,731,835,954,956,970,1019,1038,1087,1091,1122,
1124,1149,1152,1165,1180,1231,1399,1429,1501,1559,1560,1566,1616,1655,1659,
1842,1871,1907,1928,2050],[1,2,4,11,12,13,15,22,24,31,64,65,67,68,70,71,72,90,
96,98,99,146,260,262,265,279,307,343,439,672,676,1226,1227,1229,2051],[1,5,8,
9,10,14,19,33,55,58,64,136,224,225,230,234,235,236,240,247,602,605,606,607,
608,620,647,1138,1139,1228,1591,1596,1860,2052],[1,2,4,5,6,11,12,13,14,15,18,
19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,65,66,67,68,70,
71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,102,104,111,120,121,123,126,128,130,132,133,136,137,138,139,140,141,143,
146,147,148,150,155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,
203,204,209,218,260,261,262,264,265,266,267,268,269,270,271,273,274,275,276,
277,279,280,282,285,287,289,292,295,296,299,300,301,303,304,307,308,309,310,
316,318,319,321,325,328,329,332,334,335,338,341,343,352,360,363,364,368,369,
370,371,377,384,387,388,389,392,395,397,398,403,408,409,411,412,413,415,420,
421,422,423,424,426,430,439,442,448,450,455,456,461,462,470,472,473,481,482,
485,487,489,491,504,508,512,553,561,570,577,578,580,584,585,593,597,672,673,
675,676,678,679,680,681,683,685,687,688,689,691,692,693,694,695,698,700,702,
703,706,708,710,712,714,715,716,722,730,731,732,733,734,736,742,743,744,747,
748,749,750,751,752,755,756,761,763,766,771,774,775,776,779,785,786,790,794,
795,797,812,813,816,817,819,822,823,825,828,834,836,846,851,857,861,862,863,
868,870,874,876,878,879,885,886,911,913,919,922,927,931,945,953,955,958,962,
967,976,980,986,990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,
1076,1092,1095,1103,1132,1229,1230,1231,1232,1233,1235,1236,1239,1240,1241,
1243,1247,1250,1251,1255,1256,1258,1263,1264,1265,1275,1281,1283,1284,1296,
1298,1299,1300,1304,1308,1313,1315,1316,1321,1323,1330,1332,1336,1338,1343,
1345,1350,1355,1356,1362,1366,1371,1385,1392,1394,1396,1398,1400,1402,1403,
1420,1425,1428,1450,1466,1468,1492,1510,1516,1518,1519,1536,1539,1541,1562,
1565,1676,1678,1679,1682,1685,1690,1695,1696,1697,1705,1707,1708,1715,1718,
1724,1725,1731,1738,1754,1792,1801,1826,1934,1935,1938,1951,1952,1953,1954,
2053],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,
31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,51,65,66,67,68,69,70,71,72,73,74,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,98,99,100,101,102,103,
104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,122,123,124,126,
127,128,129,132,133,134,135,137,138,139,141,143,144,145,146,148,149,155,156,
157,158,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,182,183,
184,185,187,189,191,192,194,195,199,201,203,205,207,208,210,211,212,223,259,
260,262,263,265,267,269,271,272,273,274,276,278,279,280,285,288,289,291,292,
293,294,295,296,297,298,300,301,302,303,304,306,307,308,309,310,311,312,313,
314,315,317,319,320,322,324,325,326,327,328,329,330,331,332,334,335,336,337,
339,340,341,343,345,346,347,350,351,352,353,354,356,357,359,362,364,367,369,
370,372,373,374,377,380,381,383,385,386,388,389,391,394,395,396,397,398,400,
401,402,403,404,405,406,407,408,409,410,411,414,416,418,420,421,422,424,430,
432,433,436,437,439,440,442,444,445,454,457,459,460,463,466,467,474,477,486,
487,489,491,499,511,513,514,517,524,526,528,529,530,532,535,539,540,541,542,
543,550,558,560,562,563,565,570,572,573,577,582,584,585,586,587,588,590,591,
592,594,596,597,672,673,674,676,677,678,679,680,681,682,684,686,688,689,690,
693,694,695,696,701,705,707,708,709,710,711,714,717,718,719,720,721,722,723,
724,725,726,727,729,732,733,735,737,738,739,741,742,744,745,746,747,748,751,
752,753,754,755,756,757,758,759,760,762,763,764,765,766,767,768,769,770,772,
773,774,777,778,780,781,783,784,785,787,788,791,792,793,794,795,799,801,802,
804,807,808,810,811,814,815,816,818,820,822,830,832,834,840,841,843,844,850,
854,858,859,860,868,869,872,873,876,887,889,890,892,895,896,897,899,900,903,
904,908,914,922,925,926,928,931,932,933,934,937,938,939,941,943,944,946,951,
954,963,964,965,966,968,969,972,973,975,976,977,979,980,981,984,985,987,988,
990,992,993,994,996,997,999,1000,1003,1005,1008,1009,1012,1013,1014,1016,1017,
1018,1019,1020,1022,1023,1025,1026,1028,1029,1030,1031,1041,1051,1053,1056,
1057,1066,1070,1074,1081,1083,1111,1114,1117,1122,1124,1134,1229,1230,1234,
1237,1238,1239,1242,1244,1246,1247,1249,1252,1254,1257,1258,1262,1265,1266,
1273,1277,1284,1285,1286,1289,1290,1293,1296,1297,1299,1300,1301,1302,1305,
1306,1308,1309,1311,1312,1313,1314,1317,1319,1327,1328,1329,1331,1334,1337,
1347,1349,1351,1353,1354,1359,1361,1365,1369,1373,1382,1383,1386,1387,1391,
1394,1395,1396,1397,1404,1410,1411,1414,1415,1426,1436,1437,1438,1441,1442,
1443,1444,1452,1453,1454,1456,1465,1469,1470,1472,1476,1483,1484,1488,1491,
1495,1496,1497,1498,1502,1503,1507,1509,1512,1513,1514,1517,1522,1530,1545,
1547,1552,1560,1570,1571,1674,1676,1678,1681,1692,1694,1698,1700,1703,1704,
1707,1711,1716,1721,1723,1730,1733,1748,1755,1772,1774,1784,1787,1794,1796,
1803,1836,1843,1934,1936,1937,1942,1943,1947,1955,2054],[1,2,3,4,5,6,7,11,12,
13,15,16,17,19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,46,48,50,51,
52,53,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,94,95,96,97,98,99,100,103,105,107,108,109,110,111,112,113,115,116,
117,119,120,122,123,124,125,127,128,129,130,131,132,137,138,140,141,144,146,
148,151,152,154,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,
174,175,178,179,180,183,184,187,189,190,194,195,197,199,201,207,208,217,223,
259,260,261,262,263,264,265,266,268,270,272,273,274,275,276,277,278,279,280,
281,283,284,286,287,288,289,290,291,293,294,296,297,298,299,300,301,302,303,
305,306,307,310,315,316,318,320,321,322,323,324,325,326,327,328,329,332,333,
334,335,336,337,338,340,342,343,344,345,346,348,349,351,352,356,357,358,360,
362,365,366,368,369,372,374,375,376,377,378,380,382,383,384,386,387,388,391,
393,394,395,396,397,399,400,401,403,406,407,408,410,411,412,413,414,417,418,
419,420,421,422,424,425,426,427,428,429,430,431,432,433,435,437,438,439,441,
442,444,446,448,450,451,452,453,454,457,458,463,466,470,474,475,477,478,479,
480,482,483,485,490,494,499,502,509,511,512,513,518,521,522,523,524,526,527,
528,529,530,531,536,537,538,539,541,543,546,549,550,551,554,555,556,559,560,
562,569,570,577,582,584,585,586,591,596,672,673,674,675,676,679,681,683,684,
685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,703,704,706,
709,712,715,716,718,719,722,723,724,727,728,730,731,732,734,736,738,739,740,
742,743,744,745,749,750,753,754,755,756,757,759,762,763,766,769,771,772,773,
775,776,777,779,781,782,783,786,791,793,796,802,805,806,813,814,816,817,818,
819,821,824,826,828,831,836,854,856,857,859,860,861,862,863,865,866,867,868,
870,871,873,874,875,876,877,879,881,885,886,888,894,898,899,900,901,904,906,
909,912,919,922,923,928,929,930,932,934,935,936,938,939,941,944,946,947,948,
949,950,952,958,959,960,961,962,963,964,965,966,968,972,973,976,978,980,985,
991,992,996,1001,1004,1006,1007,1008,1010,1014,1015,1018,1023,1025,1028,1029,
1030,1041,1046,1047,1048,1050,1054,1057,1062,1070,1075,1079,1081,1083,1086,
1088,1100,1106,1107,1111,1120,1121,1122,1126,1130,1134,1229,1231,1232,1233,
1234,1235,1237,1240,1241,1243,1246,1247,1248,1249,1251,1252,1253,1255,1256,
1257,1258,1260,1261,1262,1263,1264,1266,1267,1268,1269,1270,1275,1278,1281,
1292,1293,1294,1295,1299,1300,1303,1310,1311,1312,1313,1315,1316,1320,1321,
1322,1326,1327,1329,1336,1337,1345,1350,1352,1353,1356,1358,1359,1364,1365,
1367,1371,1376,1377,1378,1382,1386,1388,1392,1393,1394,1397,1398,1403,1412,
1415,1416,1419,1425,1434,1437,1440,1451,1452,1456,1460,1462,1468,1473,1480,
1490,1497,1507,1516,1517,1518,1519,1526,1530,1531,1536,1537,1545,1549,1554,
1558,1563,1564,1569,1570,1584,1587,1674,1675,1676,1677,1680,1682,1684,1685,
1686,1687,1693,1694,1698,1699,1700,1701,1702,1703,1706,1708,1711,1712,1716,
1718,1719,1721,1726,1727,1728,1739,1767,1774,1778,1784,1785,1790,1795,1798,
1799,1801,1805,1817,1820,1828,1849,1935,1941,1942,1944,1960,1965,1966,1982,
1986,2055],[1,2,4,5,6,7,11,12,13,15,20,21,22,24,27,28,29,30,31,32,33,35,36,37,
38,41,42,45,46,47,49,51,52,53,65,66,67,68,70,71,72,73,77,78,79,80,81,82,83,85,
86,87,88,89,90,95,96,98,99,100,101,103,106,108,109,110,113,114,115,118,119,
120,123,125,128,131,132,137,138,141,145,146,147,148,149,150,151,152,154,159,
160,163,164,165,166,167,168,169,170,171,172,173,174,175,182,183,184,185,186,
187,190,191,195,197,199,205,207,211,216,217,221,223,260,262,265,272,273,274,
276,278,279,280,282,289,290,293,294,296,298,300,301,303,305,307,310,311,312,
313,314,317,323,325,327,328,329,330,331,332,333,334,335,339,340,343,345,347,
348,349,350,351,352,353,354,357,359,363,365,366,367,369,371,372,373,376,377,
378,381,383,385,386,388,391,392,395,396,397,399,402,403,404,405,408,411,415,
416,420,421,422,423,424,428,430,431,433,435,436,439,440,442,445,452,453,454,
455,456,458,463,466,474,478,479,490,492,494,496,497,498,502,506,510,515,518,
521,523,526,529,530,532,533,535,541,546,549,554,558,559,560,563,565,569,570,
572,577,582,584,585,586,588,590,591,672,673,676,679,681,686,688,689,690,693,
694,695,704,705,709,717,719,721,722,724,726,728,729,732,737,739,740,741,742,
744,755,756,758,761,763,764,765,766,768,780,782,783,790,805,806,810,816,821,
824,826,827,831,839,840,843,845,846,849,853,855,859,860,866,867,868,872,876,
878,881,887,888,889,891,897,901,903,904,906,908,909,915,922,925,929,930,935,
936,939,940,945,952,954,960,961,964,967,974,976,977,978,979,980,983,984,988,
989,991,993,994,997,998,1004,1005,1006,1007,1012,1015,1016,1017,1018,1019,
1020,1022,1025,1026,1030,1032,1041,1046,1048,1050,1053,1054,1057,1066,1069,
1070,1077,1079,1083,1089,1095,1102,1106,1114,1122,1124,1134,1229,1236,1244,
1247,1248,1249,1250,1253,1254,1258,1260,1261,1262,1271,1276,1278,1295,1299,
1300,1303,1306,1310,1312,1313,1314,1320,1323,1326,1332,1338,1339,1341,1343,
1348,1354,1358,1361,1369,1374,1376,1377,1379,1381,1386,1388,1391,1394,1395,
1405,1411,1416,1426,1447,1464,1483,1487,1488,1490,1495,1496,1507,1512,1514,
1525,1531,1532,1542,1544,1549,1560,1570,1571,1576,1577,1583,1584,1586,1587,
1676,1684,1692,1696,1697,1698,1704,1706,1723,1726,1746,1759,1775,1779,1788,
1791,1794,1795,1796,1799,1804,1805,1814,1820,1836,1847,1938,1946,1950,1955,
1963,1966,1968,2056],[1,2,3,4,5,6,7,11,12,13,15,16,17,19,20,21,22,24,27,28,29,
30,31,32,34,35,36,37,38,41,42,45,46,48,50,51,52,53,65,66,67,68,69,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,99,100,103,105,
107,108,109,110,111,112,113,115,116,117,119,120,122,123,124,125,127,128,129,
130,131,132,137,138,140,141,144,146,147,148,151,152,154,157,158,159,160,161,
162,163,164,165,166,168,169,170,171,172,174,175,178,179,180,183,184,186,187,
189,190,194,195,196,197,199,201,207,208,217,223,259,260,261,263,264,265,268,
272,273,274,275,276,277,278,279,280,281,283,284,286,287,288,289,290,291,293,
294,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,315,316,318,
319,320,321,322,323,324,325,326,327,328,329,332,333,334,335,336,337,338,340,
342,344,345,346,348,349,351,352,356,357,358,360,362,365,366,368,369,371,372,
374,375,376,377,378,380,382,383,384,386,387,388,391,392,393,394,395,396,397,
398,399,400,401,403,406,407,408,409,410,411,412,413,414,417,418,419,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,435,437,438,439,441,442,444,
446,448,450,451,452,453,454,455,456,457,458,463,466,470,471,474,475,477,478,
479,480,482,483,490,494,499,502,509,511,513,518,521,522,523,524,525,526,527,
528,529,530,531,536,537,538,539,541,543,546,548,549,550,551,554,555,556,559,
560,562,569,570,577,584,585,586,596,672,673,674,681,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,699,700,704,706,709,712,715,716,718,719,
723,724,727,728,730,732,733,734,736,738,739,740,742,744,745,749,750,753,754,
755,756,757,759,762,763,769,772,773,775,776,777,781,782,783,785,786,790,791,
793,794,796,802,805,806,809,814,816,818,819,823,824,826,831,834,835,836,854,
856,857,859,860,862,863,865,866,867,868,870,871,873,874,875,877,878,879,881,
885,886,888,894,898,899,900,901,904,905,906,909,912,920,922,923,928,929,930,
931,932,934,935,936,938,939,941,944,945,946,947,948,949,950,952,954,955,959,
960,962,963,964,965,966,968,972,973,976,978,980,984,985,991,992,996,998,1001,
1002,1004,1006,1007,1008,1010,1014,1015,1018,1023,1025,1028,1029,1030,1034,
1040,1041,1046,1047,1048,1050,1054,1057,1062,1066,1075,1079,1086,1088,1095,
1100,1104,1106,1107,1111,1114,1120,1121,1124,1126,1130,1232,1233,1237,1239,
1246,1247,1248,1249,1250,1251,1252,1256,1257,1258,1260,1262,1263,1264,1265,
1266,1268,1270,1275,1278,1282,1288,1292,1293,1294,1295,1303,1304,1311,1314,
1320,1321,1322,1323,1324,1326,1329,1337,1338,1345,1352,1353,1358,1359,1364,
1365,1367,1371,1376,1377,1378,1385,1386,1393,1394,1395,1397,1411,1412,1415,
1416,1419,1425,1429,1433,1434,1437,1448,1451,1452,1455,1456,1458,1460,1462,
1466,1473,1475,1480,1486,1490,1495,1497,1516,1517,1519,1526,1530,1531,1537,
1538,1541,1545,1549,1554,1558,1563,1564,1572,1575,1576,1584,1586,1587,1675,
1683,1684,1686,1687,1692,1693,1695,1696,1700,1703,1707,1708,1712,1729,1731,
1739,1757,1767,1778,1784,1796,1798,1800,1805,1811,1817,1828,1846,1847,1849,
1941,1946,1947,1948,1949,1954,1958,2057],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,
21,22,24,27,28,29,30,31,32,33,35,36,37,38,41,42,43,44,45,46,48,50,51,65,66,67,
68,69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,99,
100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,127,128,129,132,
137,138,141,142,144,146,147,148,150,153,157,158,164,165,166,168,169,170,171,
172,174,175,178,183,184,186,187,188,189,194,195,196,198,199,201,207,208,214,
219,223,259,260,262,263,265,272,273,274,276,278,279,280,282,288,289,291,293,
294,296,297,298,300,301,302,303,306,307,310,315,320,322,324,325,326,327,328,
329,332,334,335,336,337,340,343,345,346,351,352,355,356,357,361,362,363,369,
371,372,374,377,379,380,383,386,388,390,391,392,394,395,396,397,400,401,403,
406,407,408,410,411,414,415,418,420,421,422,423,424,430,432,433,434,437,439,
442,443,444,447,454,455,456,457,463,465,466,471,474,476,477,493,499,501,511,
513,524,525,526,528,529,530,534,539,541,543,547,548,550,552,560,562,570,577,
579,582,583,584,585,586,591,596,672,673,674,676,679,681,684,686,688,689,690,
693,694,695,696,709,713,718,719,722,723,724,727,732,738,739,742,744,745,753,
754,755,756,757,759,761,762,763,766,769,772,773,777,781,783,789,790,791,793,
802,809,814,816,818,835,837,842,846,852,854,859,860,868,873,876,878,882,883,
899,900,902,904,905,907,920,921,922,924,928,932,934,938,939,941,944,945,946,
956,963,964,965,966,967,968,971,972,973,976,980,985,992,996,998,1002,1008,
1014,1018,1021,1023,1025,1028,1029,1030,1035,1041,1057,1058,1059,1069,1070,
1081,1083,1094,1095,1104,1105,1111,1122,1134,1229,1234,1236,1237,1245,1246,
1247,1249,1250,1252,1257,1258,1259,1262,1266,1282,1288,1293,1299,1300,1311,
1312,1313,1323,1324,1325,1327,1329,1332,1335,1337,1338,1340,1342,1343,1346,
1353,1359,1365,1368,1372,1375,1382,1384,1386,1390,1394,1397,1399,1415,1433,
1437,1448,1452,1456,1475,1486,1497,1507,1517,1524,1529,1530,1534,1545,1550,
1553,1555,1561,1570,1674,1676,1683,1694,1696,1697,1698,1700,1703,1710,1711,
1716,1721,1743,1745,1747,1756,1757,1765,1769,1770,1774,1784,1800,1813,1938,
1939,1942,1945,1956,1958,1964,2058],[1,2,4,5,6,7,11,12,13,14,15,16,18,20,21,
22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,51,52,53,
65,66,67,68,71,72,73,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,98,99,100,102,104,108,109,110,113,115,119,120,121,123,125,126,128,130,
131,132,133,137,138,139,140,141,142,143,146,147,148,151,152,153,154,155,156,
159,160,161,162,163,165,168,169,170,171,172,175,176,177,181,183,184,186,187,
188,190,192,193,197,198,199,200,202,203,206,207,208,209,215,217,218,220,223,
260,263,264,265,266,267,269,270,271,272,273,274,275,276,278,279,280,285,287,
289,290,291,292,295,299,300,301,303,304,305,307,308,309,310,316,318,319,321,
323,325,327,328,329,332,333,334,335,337,338,340,341,348,349,352,355,357,360,
361,364,365,366,368,369,370,371,372,376,377,378,379,384,386,387,388,389,390,
391,392,394,395,397,398,399,403,407,408,409,410,411,412,420,421,422,423,424,
428,430,431,433,434,435,437,439,442,443,448,449,452,453,454,455,456,458,461,
463,464,466,468,472,473,474,478,479,481,482,485,487,488,489,490,491,494,500,
502,505,512,516,518,519,521,523,526,541,546,549,554,557,559,560,561,564,566,
568,569,570,571,574,576,577,578,579,580,583,584,585,586,593,595,597,672,673,
675,678,680,685,686,687,688,689,693,694,695,696,703,704,706,708,710,713,714,
715,728,730,731,733,734,736,738,740,742,743,747,748,749,750,751,752,755,762,
766,771,772,773,774,776,779,782,783,785,789,790,795,797,798,805,806,812,813,
816,817,819,821,822,824,826,828,831,833,834,836,837,838,847,857,859,860,861,
862,863,866,867,868,874,876,878,879,881,884,888,901,902,909,910,916,917,918,
919,922,927,928,929,930,931,932,935,936,939,945,946,952,954,956,964,965,976,
978,980,984,986,990,991,992,998,1006,1007,1010,1011,1018,1021,1024,1025,1027,
1033,1034,1036,1040,1041,1046,1048,1050,1054,1057,1064,1066,1068,1079,1081,
1090,1092,1095,1103,1105,1106,1118,1131,1132,1133,1135,1136,1230,1234,1235,
1245,1248,1250,1255,1256,1258,1259,1260,1261,1262,1265,1266,1275,1278,1280,
1284,1287,1296,1299,1303,1308,1314,1316,1318,1320,1323,1330,1335,1336,1338,
1346,1350,1355,1356,1357,1358,1359,1360,1363,1365,1376,1377,1380,1382,1386,
1388,1389,1395,1396,1397,1398,1400,1409,1412,1419,1420,1427,1431,1440,1460,
1466,1468,1477,1478,1493,1501,1510,1519,1527,1539,1541,1562,1564,1565,1569,
1574,1576,1580,1584,1586,1587,1678,1684,1685,1692,1696,1702,1705,1710,1711,
1713,1715,1716,1726,1728,1731,1737,1739,1742,1751,1752,1754,1758,1777,1785,
1810,1826,1847,1936,1945,1946,1953,1961,1965,1967,2059],[1,2,4,5,6,11,12,13,
14,15,16,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,39,40,41,42,45,
51,65,66,67,68,71,72,73,75,76,77,79,80,82,83,84,85,86,87,88,89,90,91,92,93,95,
96,97,98,99,100,102,103,104,111,120,121,123,126,128,130,132,133,136,137,138,
139,140,141,143,146,147,148,150,155,156,161,162,164,165,168,169,171,175,176,
177,184,186,187,190,192,194,196,199,202,203,204,209,218,260,261,263,264,265,
267,268,269,271,273,274,275,276,277,279,280,282,285,287,289,291,292,293,294,
295,296,298,299,300,301,304,307,308,309,310,316,318,319,321,325,328,329,332,
334,335,337,338,341,349,352,357,360,363,364,365,366,368,369,370,371,374,377,
380,384,386,387,388,389,392,395,397,398,399,400,403,408,409,411,412,413,415,
420,421,422,423,424,426,430,432,433,439,442,448,450,454,455,456,461,462,463,
470,471,472,473,481,482,487,489,491,504,508,525,548,553,561,570,577,578,580,
582,584,585,591,593,597,672,673,678,680,681,683,685,687,688,689,690,691,692,
693,694,695,696,700,702,706,708,710,712,714,715,716,728,730,733,734,736,742,
744,747,748,749,750,751,752,754,755,756,761,763,774,775,776,781,782,783,785,
786,790,795,797,809,812,816,819,821,822,823,825,834,835,836,846,851,857,862,
863,868,870,874,879,885,886,900,905,906,911,913,920,922,927,931,932,939,946,
953,954,955,961,962,963,967,980,984,986,990,998,1001,1002,1004,1010,1025,1030,
1033,1036,1050,1057,1066,1069,1070,1076,1081,1092,1103,1104,1132,1230,1232,
1233,1234,1236,1250,1251,1253,1256,1257,1258,1260,1261,1262,1263,1264,1265,
1275,1282,1283,1284,1288,1292,1296,1298,1304,1308,1310,1312,1314,1321,1324,
1326,1327,1330,1332,1343,1345,1352,1355,1359,1362,1365,1366,1371,1382,1385,
1388,1394,1395,1396,1402,1425,1428,1429,1450,1455,1458,1489,1492,1504,1516,
1519,1526,1533,1538,1539,1562,1567,1678,1679,1683,1690,1692,1693,1695,1697,
1705,1706,1708,1711,1719,1720,1721,1724,1725,1727,1728,1729,1738,1763,1792,
1799,1811,1936,1948,1952,1956,1960,1962,1968,2060],[1,2,3,4,5,6,7,11,12,13,15,
16,17,20,21,22,24,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,48,50,
51,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
94,95,96,98,99,100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,
127,128,129,130,132,137,138,140,141,142,144,146,147,148,150,153,157,158,161,
162,164,165,166,168,169,170,171,172,174,175,178,184,186,187,188,189,194,195,
198,199,201,208,214,217,219,259,260,263,264,265,266,270,272,273,274,275,276,
278,279,280,282,287,288,289,291,293,294,296,297,298,299,300,301,302,303,304,
306,307,308,309,310,315,316,318,319,320,321,322,324,325,326,327,328,329,332,
334,335,336,337,338,340,345,346,351,352,355,356,357,360,361,362,363,368,369,
371,372,374,377,379,380,383,384,386,387,388,390,391,392,394,395,396,397,398,
400,401,403,406,407,408,409,410,411,412,414,415,418,420,421,422,423,424,430,
432,433,434,437,439,442,443,444,447,448,452,453,454,455,456,457,463,465,476,
477,479,482,485,493,499,501,511,512,513,518,524,528,529,530,534,539,543,547,
550,552,562,570,577,579,582,583,584,585,591,596,672,673,674,675,684,685,686,
687,688,689,690,693,694,695,696,703,706,709,713,715,718,719,723,724,727,730,
731,732,733,734,736,738,739,742,743,745,749,750,753,754,755,757,759,761,762,
766,769,771,772,773,776,777,779,781,783,785,789,790,791,793,794,802,805,813,
814,816,817,818,819,821,828,831,834,836,837,842,846,852,854,857,861,862,863,
868,873,874,876,879,881,882,883,899,900,902,904,906,907,911,913,919,921,922,
924,931,934,938,939,941,944,954,956,960,961,963,965,966,967,968,971,972,973,
976,980,984,985,991,996,998,1004,1008,1010,1014,1015,1021,1023,1025,1028,1029,
1030,1034,1035,1040,1057,1058,1059,1066,1069,1070,1079,1081,1094,1105,1111,
1114,1124,1235,1236,1237,1239,1245,1246,1247,1249,1250,1252,1253,1255,1256,
1257,1258,1259,1261,1262,1265,1266,1267,1269,1275,1293,1295,1299,1303,1310,
1311,1312,1314,1316,1325,1326,1327,1329,1332,1335,1336,1337,1340,1342,1343,
1346,1350,1353,1356,1359,1362,1366,1368,1372,1375,1382,1384,1390,1395,1398,
1411,1427,1434,1437,1440,1451,1452,1456,1462,1466,1468,1473,1477,1478,1495,
1497,1501,1519,1534,1541,1550,1555,1561,1569,1677,1685,1690,1692,1697,1699,
1700,1701,1702,1703,1706,1707,1710,1719,1731,1737,1743,1745,1747,1765,1769,
1774,1795,1796,1798,1810,1813,1944,1947,1951,1959,1964,1967,1968,2061],[1,2,3,
4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,65,66,67,68,69,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
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,
194,195,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,259,260,261,263,264,265,267,268,269,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,304,305,306,307,308,309,
310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,330,331,332,333,334,335,336,337,338,339,340,341,342,344,345,346,347,348,
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,
444,445,446,447,448,449,450,451,452,453,455,456,457,458,459,460,461,462,464,
465,466,467,468,469,470,472,473,474,475,476,477,478,479,480,481,482,483,484,
486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,
505,506,507,508,509,510,511,513,514,515,516,517,518,519,520,521,522,523,524,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,
545,546,547,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,
565,566,568,569,570,571,572,573,574,576,577,578,579,580,583,584,585,586,587,
588,590,592,593,594,595,596,597,598,599,600,601,672,673,674,677,678,680,681,
682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,699,700,701,
702,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,
723,724,725,726,727,728,729,730,733,734,735,736,737,738,739,740,741,742,744,
745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,
764,765,767,768,769,770,772,773,774,775,776,777,778,780,781,782,783,784,785,
786,787,788,789,790,791,792,793,795,796,797,798,799,800,801,802,803,804,805,
806,807,808,810,811,812,814,815,816,818,819,820,822,823,824,825,826,827,829,
830,831,832,833,834,836,837,838,839,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,856,857,858,859,860,862,863,864,865,866,867,868,869,
870,871,872,873,874,875,877,879,880,881,882,883,884,885,886,887,888,889,890,
891,892,893,894,895,896,897,898,899,900,901,902,903,904,906,907,908,909,910,
911,912,913,914,915,916,917,918,921,922,923,924,925,926,927,928,929,930,931,
932,933,934,935,936,937,938,940,941,942,943,944,946,947,948,949,950,951,952,
953,955,956,957,959,960,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,977,978,979,980,981,982,983,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,
1028,1029,1030,1031,1032,1033,1035,1036,1037,1041,1042,1043,1044,1046,1047,
1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,
1063,1064,1065,1068,1069,1071,1072,1074,1075,1076,1077,1078,1079,1080,1084,
1085,1086,1088,1089,1090,1091,1092,1093,1094,1096,1097,1098,1099,1100,1101,
1102,1103,1105,1106,1107,1108,1109,1111,1112,1113,1115,1116,1117,1118,1119,
1120,1121,1123,1125,1126,1127,1128,1129,1130,1131,1132,1133,1135,1136,1230,
1232,1233,1236,1237,1238,1242,1244,1245,1246,1248,1249,1250,1251,1252,1254,
1256,1257,1258,1259,1260,1263,1264,1265,1266,1268,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1283,1284,1285,1286,1287,1289,1290,1291,1292,
1293,1294,1295,1296,1297,1298,1301,1302,1303,1304,1305,1306,1307,1308,1309,
1311,1317,1318,1319,1320,1321,1322,1325,1326,1328,1329,1330,1331,1332,1333,
1334,1335,1337,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1351,
1352,1353,1354,1355,1357,1358,1360,1361,1362,1363,1364,1365,1366,1367,1368,
1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1383,1384,
1385,1386,1387,1389,1390,1391,1393,1394,1396,1397,1401,1402,1404,1405,1406,
1407,1408,1409,1410,1412,1413,1414,1415,1416,1418,1419,1421,1422,1423,1424,
1425,1426,1428,1430,1431,1432,1434,1435,1436,1437,1438,1441,1442,1443,1444,
1445,1446,1449,1450,1451,1452,1453,1454,1456,1457,1459,1460,1461,1462,1465,
1469,1470,1471,1472,1473,1474,1476,1479,1480,1484,1490,1491,1492,1493,1494,
1496,1497,1498,1499,1500,1502,1503,1505,1506,1509,1511,1512,1513,1514,1516,
1517,1519,1521,1522,1523,1526,1527,1528,1530,1531,1532,1534,1535,1537,1539,
1540,1542,1543,1544,1545,1546,1547,1548,1549,1550,1552,1554,1555,1556,1557,
1558,1561,1562,1563,1564,1566,1568,1573,1574,1577,1578,1579,1580,1581,1582,
1583,1584,1585,1587,1588,1589,1675,1678,1679,1681,1684,1686,1687,1688,1689,
1690,1691,1693,1695,1697,1703,1704,1705,1708,1709,1710,1712,1713,1714,1717,
1722,1724,1725,1730,1732,1733,1734,1735,1736,1738,1739,1740,1741,1742,1743,
1744,1745,1747,1748,1749,1750,1751,1752,1753,1755,1758,1759,1760,1762,1764,
1765,1766,1767,1768,1769,1772,1773,1776,1777,1778,1779,1780,1781,1782,1783,
1784,1786,1787,1788,1791,1792,1793,1797,1798,1802,1803,1804,1805,1806,1807,
1808,1809,1812,1813,1814,1815,1816,1817,1819,1821,1824,1825,1828,1829,1832,
1835,1837,1843,1845,1849,1937,1941,1950,1952,1957,1961,1964,1970,1973,1974,
1975,1978,1981,1983,1984,1985,1988,1989,1990,2062],[1,2,4,5,6,7,11,12,13,15,
19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,43,44,46,47,49,51,65,66,
67,68,70,71,72,73,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,94,95,96,97,
98,99,100,101,103,106,108,109,111,113,114,115,118,120,123,128,130,132,137,138,
140,141,142,145,146,148,149,153,161,162,164,165,166,167,168,169,170,171,172,
173,174,175,182,183,184,185,187,188,191,195,196,198,199,205,207,211,213,222,
223,260,261,262,264,265,266,268,270,272,273,274,275,276,277,278,279,280,287,
289,293,294,296,298,299,300,301,303,307,310,311,312,313,314,316,317,318,321,
325,327,328,329,330,331,332,334,335,338,339,340,343,345,347,350,351,352,353,
354,355,357,359,360,361,367,368,369,372,373,377,379,381,383,384,385,386,387,
388,390,391,395,396,397,402,403,404,405,408,411,412,413,416,420,421,422,424,
426,430,433,434,436,439,440,442,443,445,448,450,454,463,466,469,470,471,474,
482,484,485,495,503,507,512,520,525,526,529,530,532,535,541,544,545,548,558,
560,563,565,567,570,572,575,577,579,581,582,583,584,585,586,588,589,590,591,
672,673,675,676,679,681,683,685,686,687,688,689,690,691,692,693,694,695,698,
700,703,705,706,709,712,713,715,716,717,719,721,722,724,726,729,730,731,732,
734,736,737,739,741,742,743,744,749,750,755,756,758,763,764,765,766,768,771,
775,776,779,780,783,786,789,800,803,809,810,813,816,817,819,828,829,835,836,
837,840,843,848,857,859,860,861,862,863,864,868,870,872,874,876,879,880,885,
886,887,889,893,897,902,903,904,905,908,919,920,922,925,939,942,954,956,957,
958,962,964,970,976,977,979,980,982,984,988,993,994,995,997,1001,1002,1005,
1010,1012,1016,1017,1018,1019,1020,1021,1022,1025,1026,1030,1038,1039,1041,
1045,1049,1053,1057,1061,1065,1066,1067,1070,1073,1082,1083,1087,1091,1104,
1105,1110,1114,1122,1124,1134,1137,1229,1231,1232,1233,1235,1240,1241,1243,
1244,1245,1247,1249,1251,1254,1255,1256,1258,1259,1262,1263,1264,1272,1274,
1275,1279,1281,1282,1288,1291,1299,1300,1306,1307,1312,1313,1314,1315,1316,
1321,1324,1333,1335,1336,1344,1345,1346,1350,1354,1356,1361,1369,1370,1371,
1386,1391,1392,1394,1395,1398,1399,1403,1411,1417,1425,1426,1427,1429,1432,
1439,1445,1455,1457,1458,1461,1463,1467,1468,1477,1478,1481,1482,1483,1485,
1488,1495,1496,1501,1507,1508,1511,1512,1514,1515,1516,1518,1519,1520,1523,
1524,1529,1536,1538,1551,1553,1556,1559,1560,1566,1570,1571,1676,1682,1683,
1685,1688,1689,1691,1692,1698,1704,1708,1709,1710,1718,1723,1729,1734,1737,
1756,1761,1770,1771,1783,1789,1794,1796,1801,1807,1810,1811,1816,1818,1827,
1830,1831,1834,1836,1839,1842,1844,1851,1852,1935,1939,1940,1948,1955,1957,
1967,1972,1976,1979,1980,2063],[1,2,4,5,6,7,11,12,13,15,16,20,21,22,24,27,28,
29,30,31,32,33,34,35,36,37,38,41,42,45,46,47,49,51,52,53,65,66,67,68,71,72,73,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,94,95,96,98,99,100,101,103,
106,108,109,110,113,114,115,118,119,120,123,125,128,130,131,132,137,138,140,
141,145,146,147,148,149,150,151,152,154,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,182,183,184,185,186,187,190,191,195,196,197,
199,205,207,208,211,216,217,221,223,260,263,264,265,266,270,272,273,274,275,
276,278,279,280,282,287,289,290,291,293,294,296,298,299,300,301,303,304,305,
307,308,309,310,311,312,313,314,316,317,318,319,321,323,325,327,328,329,330,
331,332,333,334,335,337,338,339,340,345,347,348,349,350,351,352,353,354,357,
359,360,363,365,366,367,368,369,371,372,373,376,377,378,381,383,384,385,386,
387,388,391,392,394,395,396,397,398,399,402,403,404,405,407,408,409,410,411,
412,415,416,420,421,422,423,424,428,430,431,433,435,436,437,439,440,442,445,
448,452,453,454,455,456,458,463,466,471,474,478,479,482,485,490,492,494,496,
497,498,502,506,510,512,515,518,521,523,525,526,529,530,532,533,535,541,546,
548,549,554,558,559,560,563,565,567,569,570,572,575,577,581,584,585,586,588,
589,590,672,673,675,685,686,687,688,689,690,693,694,695,696,703,704,705,706,
709,715,717,719,721,724,726,728,729,730,731,732,733,734,736,737,738,739,740,
741,742,743,749,750,755,758,761,762,764,765,766,768,771,772,773,776,779,780,
782,783,785,790,794,805,806,809,810,813,816,817,819,821,824,826,827,828,831,
834,835,836,839,840,843,845,846,849,853,855,857,859,860,861,862,863,866,867,
868,872,874,876,879,881,887,888,889,891,897,901,903,904,905,908,909,911,913,
915,919,920,922,925,928,929,930,931,932,935,936,939,940,946,952,964,965,967,
974,976,977,978,979,980,983,988,989,991,992,993,994,997,998,1002,1005,1006,
1007,1010,1012,1016,1017,1018,1019,1020,1022,1025,1026,1030,1032,1034,1038,
1039,1040,1041,1045,1046,1048,1050,1053,1054,1057,1067,1069,1073,1077,1079,
1081,1082,1087,1089,1102,1104,1106,1110,1114,1124,1137,1234,1235,1236,1239,
1244,1247,1248,1249,1250,1254,1255,1256,1258,1260,1261,1262,1265,1266,1271,
1275,1276,1278,1282,1288,1299,1303,1306,1316,1320,1324,1327,1332,1336,1339,
1341,1343,1348,1350,1354,1356,1358,1359,1361,1362,1365,1366,1369,1374,1376,
1377,1379,1381,1382,1386,1388,1391,1397,1398,1405,1411,1412,1417,1419,1426,
1439,1440,1460,1463,1466,1467,1468,1481,1482,1485,1495,1496,1508,1512,1514,
1515,1519,1520,1532,1541,1542,1544,1551,1559,1564,1569,1572,1575,1577,1583,
1584,1587,1683,1684,1685,1690,1694,1697,1702,1704,1707,1711,1716,1726,1728,
1731,1739,1759,1761,1771,1779,1785,1788,1789,1791,1796,1804,1814,1818,1839,
1846,1940,1943,1949,1950,1951,1956,1965,2064],[1,2,3,4,5,6,7,11,12,13,14,15,
16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,45,
46,47,48,49,50,51,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,98,99,100,101,102,103,104,105,106,107,108,109,
112,113,114,115,116,117,118,120,121,122,123,124,126,127,128,129,130,132,133,
134,135,137,138,139,140,141,143,144,145,146,147,148,149,155,156,157,158,161,
162,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,182,184,185,
186,187,189,191,192,194,195,196,199,201,202,203,205,208,209,210,211,212,217,
218,259,260,263,264,265,266,267,269,270,271,272,273,274,275,276,278,279,280,
285,287,288,289,291,292,293,294,295,297,298,299,300,301,302,303,304,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,324,325,326,327,
328,329,330,331,332,334,335,336,337,338,339,340,341,345,346,347,350,351,352,
353,354,356,357,359,360,362,364,367,368,369,370,371,372,373,374,377,380,381,
383,384,385,386,387,388,389,391,392,394,395,396,397,398,400,401,402,403,404,
405,406,407,408,409,410,411,412,414,416,418,420,421,422,423,424,430,432,433,
436,437,439,440,442,444,445,448,452,453,455,456,457,459,460,461,467,471,472,
473,477,479,481,482,485,486,487,489,491,499,511,512,513,514,517,518,524,525,
528,529,530,532,535,539,540,542,543,548,550,558,561,562,563,565,567,570,572,
573,575,577,578,580,581,582,584,585,587,588,589,590,591,592,593,594,596,597,
672,673,674,675,677,678,680,682,684,685,686,687,688,689,690,693,694,695,696,
701,703,705,706,707,708,709,710,711,714,715,717,718,719,720,721,723,724,725,
726,727,729,730,731,733,734,735,736,737,738,739,741,742,743,745,746,747,748,
749,750,751,752,753,754,755,757,758,759,760,762,764,765,766,767,768,769,770,
771,772,773,774,776,777,778,779,780,781,783,784,785,787,788,790,791,792,793,
795,797,799,801,802,804,805,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,822,828,830,831,832,834,835,836,840,841,843,844,850,854,857,858,
861,862,863,868,869,872,873,874,876,878,879,881,887,889,890,892,895,896,897,
899,900,903,904,905,906,908,914,919,920,922,925,926,927,931,933,934,937,938,
941,943,944,945,951,960,961,963,965,966,968,969,972,973,975,976,977,979,980,
981,985,986,987,988,990,991,993,994,996,997,998,999,1000,1002,1003,1004,1005,
1008,1009,1010,1012,1013,1014,1015,1016,1017,1019,1020,1022,1023,1025,1026,
1028,1029,1031,1033,1034,1036,1038,1039,1040,1045,1051,1053,1056,1057,1067,
1070,1073,1074,1079,1081,1082,1087,1092,1095,1103,1104,1110,1111,1117,1132,
1137,1230,1235,1237,1238,1242,1244,1246,1249,1250,1252,1253,1254,1255,1256,
1257,1258,1261,1265,1266,1267,1269,1273,1275,1277,1282,1284,1285,1286,1288,
1289,1290,1293,1295,1296,1297,1299,1301,1302,1303,1305,1306,1308,1309,1310,
1311,1312,1316,1317,1319,1323,1324,1326,1327,1328,1329,1330,1331,1334,1336,
1337,1338,1347,1349,1350,1351,1353,1354,1355,1356,1361,1369,1373,1382,1383,
1387,1391,1396,1398,1400,1404,1410,1414,1417,1420,1426,1433,1434,1436,1437,
1438,1439,1440,1441,1442,1443,1444,1447,1448,1451,1452,1453,1454,1456,1462,
1463,1464,1465,1466,1467,1468,1469,1470,1472,1473,1475,1476,1481,1482,1484,
1485,1486,1487,1489,1491,1496,1497,1498,1502,1503,1504,1508,1509,1510,1512,
1513,1514,1515,1519,1520,1522,1525,1533,1539,1541,1547,1551,1552,1559,1562,
1565,1567,1569,1677,1678,1681,1683,1685,1696,1699,1701,1702,1703,1704,1705,
1706,1715,1719,1720,1730,1731,1733,1746,1748,1754,1755,1757,1761,1763,1771,
1772,1774,1775,1787,1789,1795,1798,1800,1803,1818,1822,1823,1826,1833,1838,
1839,1840,1841,1843,1848,1850,1937,1940,1944,1953,1958,1962,1963,1969,1971,
1977,1987,2065],[1,2,4,5,6,7,11,12,13,14,15,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,35,36,37,38,39,40,41,42,43,44,46,51,52,53,65,66,67,68,70,71,72,73,77,
78,79,80,81,82,83,85,86,87,88,89,90,92,93,95,96,98,99,100,102,103,104,108,109,
110,113,115,119,120,121,123,125,126,128,131,132,133,137,138,139,141,142,143,
146,148,151,152,153,154,155,156,159,160,163,164,165,166,168,169,170,171,172,
174,175,176,177,181,183,184,187,188,190,192,193,195,196,197,198,199,200,203,
206,207,215,217,220,223,260,262,265,267,269,271,272,273,274,276,278,279,280,
285,289,290,292,293,294,295,296,298,300,301,303,304,305,307,308,309,310,319,
323,325,327,328,329,332,333,334,335,340,341,343,345,348,349,351,352,355,357,
361,364,365,366,369,370,372,376,377,378,379,383,386,388,389,390,391,395,396,
397,398,399,403,408,409,411,420,421,422,424,428,430,431,433,434,435,439,442,
443,449,452,453,454,458,463,464,466,468,471,474,478,479,487,488,489,490,491,
494,500,502,505,516,518,519,521,523,525,526,529,530,541,546,548,549,554,557,
559,560,564,566,568,569,570,571,574,576,577,579,582,583,584,585,586,591,595,
597,672,673,676,678,679,680,681,686,688,689,690,693,694,695,704,708,709,710,
713,714,719,722,724,728,732,733,739,740,742,744,747,748,751,752,755,756,763,
766,774,782,783,785,789,794,795,798,805,806,809,816,821,822,824,826,831,833,
834,835,837,838,847,859,860,866,867,868,876,881,884,888,901,902,904,905,906,
909,910,916,917,918,920,922,929,930,931,935,936,939,952,956,960,961,964,976,
978,980,990,991,1002,1004,1006,1007,1011,1015,1018,1021,1024,1025,1027,1030,
1041,1046,1048,1050,1054,1057,1064,1068,1070,1079,1083,1090,1104,1105,1106,
1118,1122,1131,1133,1134,1135,1136,1229,1230,1239,1245,1247,1248,1249,1253,
1258,1259,1260,1261,1262,1265,1278,1280,1282,1284,1287,1288,1295,1296,1299,
1300,1303,1308,1310,1312,1313,1318,1320,1324,1326,1335,1346,1357,1358,1360,
1363,1376,1377,1380,1386,1388,1389,1394,1396,1399,1409,1416,1431,1489,1490,
1493,1504,1507,1524,1527,1529,1531,1533,1549,1553,1567,1570,1572,1574,1575,
1580,1584,1587,1676,1678,1683,1684,1698,1706,1707,1710,1713,1720,1726,1742,
1751,1752,1756,1758,1763,1770,1777,1795,1799,1805,1820,1846,1934,1939,1949,
1959,1961,1962,1966,2066],[1,2,4,5,6,7,11,12,13,15,16,19,20,21,22,24,27,28,29,
30,31,32,34,35,36,37,38,41,42,43,44,45,46,47,49,51,65,66,67,68,71,72,73,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,99,100,101,103,106,
108,109,111,113,114,115,118,120,123,128,130,132,137,138,140,141,142,145,146,
147,148,149,153,161,162,164,165,166,167,168,169,170,171,172,173,174,175,182,
184,185,186,187,188,190,191,194,195,198,199,205,211,213,222,260,261,263,264,
265,268,272,273,274,275,276,277,278,279,280,287,289,291,293,294,296,298,299,
300,301,303,304,307,308,309,310,311,312,313,314,316,317,318,319,321,325,327,
328,329,330,331,332,334,335,337,338,339,340,345,347,349,350,351,352,353,354,
355,357,359,360,361,365,366,367,368,369,371,372,373,374,377,379,380,381,383,
384,385,386,387,388,390,391,392,395,396,397,398,399,400,402,403,404,405,408,
409,411,412,413,416,420,421,422,423,424,426,430,432,433,434,436,439,440,442,
443,445,448,450,454,455,456,463,469,470,482,484,495,503,507,520,529,530,532,
535,544,545,558,563,565,570,572,577,579,582,583,584,585,588,590,591,672,673,
681,683,685,686,687,688,689,690,691,692,693,694,695,696,700,705,706,709,712,
713,715,716,717,719,721,724,726,728,729,730,732,733,734,736,737,739,741,742,
744,749,750,754,755,756,758,763,764,765,768,775,776,780,781,782,783,785,786,
789,790,794,800,803,810,816,819,821,823,829,834,836,837,840,843,848,857,862,
863,864,868,870,872,874,878,879,880,885,886,887,889,893,897,900,902,903,904,
906,908,922,925,928,931,932,939,942,945,946,955,956,957,961,962,963,970,976,
977,979,980,982,988,992,993,994,995,997,998,1001,1004,1005,1010,1012,1016,
1017,1019,1020,1021,1022,1025,1026,1030,1034,1040,1049,1050,1053,1057,1061,
1065,1070,1081,1091,1095,1105,1114,1124,1232,1233,1234,1239,1244,1245,1247,
1249,1250,1251,1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,
1272,1274,1275,1279,1291,1292,1304,1306,1307,1310,1312,1321,1323,1326,1327,
1333,1335,1338,1344,1345,1346,1352,1354,1359,1361,1365,1369,1370,1371,1382,
1385,1388,1391,1394,1397,1411,1425,1426,1432,1445,1447,1457,1461,1464,1466,
1487,1495,1496,1511,1512,1514,1516,1519,1523,1525,1526,1541,1556,1566,1688,
1689,1691,1693,1694,1695,1696,1704,1706,1707,1708,1709,1710,1711,1719,1721,
1727,1728,1731,1734,1746,1775,1783,1796,1799,1807,1816,1943,1945,1954,1957,
1959,1960,1963,2067],[1,2,4,5,6,8,9,10,11,12,13,14,15,18,20,21,22,23,25,26,29,
35,37,39,40,41,42,58,61,66,67,72,73,77,79,86,88,92,93,95,100,102,104,121,126,
133,139,141,143,155,156,165,171,175,176,177,192,203,224,226,227,228,229,230,
233,234,236,239,241,253,260,267,269,271,274,280,285,292,295,341,364,369,370,
377,389,487,489,491,597,615,625,627,630,639,641,662,673,708,714,795,1138,1141,
1145,1146,1147,1153,1155,1156,1157,1158,1160,1175,1202,1230,1604,1618,1854,
1856,1865,1868,1869,2068],[1,2,4,8,9,10,11,12,13,15,22,24,31,56,61,65,67,68,
70,71,72,90,96,98,99,146,224,226,227,228,229,231,233,237,238,241,260,262,265,
279,307,343,439,618,624,626,632,634,641,657,672,676,1140,1141,1145,1146,1149,
1150,1159,1160,1161,1173,1200,1229,1605,1626,1854,1855,1864,1867,1873,2069],[
1,2,4,5,8,9,10,11,12,19,21,24,31,32,56,58,61,66,68,75,80,94,96,138,224,225,
226,227,228,229,231,235,237,238,240,241,261,262,266,270,303,321,334,615,617,
624,626,643,679,683,731,1139,1140,1141,1148,1149,1150,1151,1152,1154,1159,
1161,1209,1231,1611,1616,1853,1855,1866,1870,1871,1872,2070],[1,2,3,4,5,7,8,9,
10,11,12,13,15,16,17,21,22,27,28,30,46,50,51,54,55,57,58,60,61,62,63,66,67,69,
72,74,84,85,105,107,109,113,115,116,127,128,129,132,144,157,158,169,172,178,
183,207,224,226,227,228,229,233,241,248,254,255,256,260,289,291,322,328,391,
433,444,457,474,499,511,526,528,550,602,603,604,609,611,614,615,631,641,642,
646,667,669,670,681,684,928,932,964,972,973,1141,1142,1145,1146,1160,1181,
1207,1208,1220,1517,1599,1600,1601,1615,1617,1619,1620,1671,1854,1901,1904,
1992,1994,1995,2071],[1,2,3,5,6,7,8,9,10,11,14,16,17,19,21,25,26,28,30,33,36,
37,38,40,41,44,47,48,49,50,53,54,55,56,57,58,59,60,62,63,66,74,75,100,101,102,
105,107,110,113,118,119,126,127,129,134,136,142,149,150,155,159,174,179,181,
182,189,191,194,201,204,205,206,208,210,211,212,214,215,221,222,224,225,226,
231,235,236,237,240,242,243,244,245,246,247,248,249,250,251,252,254,257,261,
281,282,284,285,382,431,434,440,444,446,459,462,464,467,468,484,486,493,496,
498,501,505,507,510,517,519,533,534,547,553,562,587,588,594,598,601,602,603,
604,608,609,614,615,616,617,621,622,623,625,629,640,644,647,648,649,650,653,
654,658,660,663,664,665,666,671,697,702,970,1035,1042,1043,1055,1056,1060,
1064,1089,1108,1113,1123,1127,1139,1140,1142,1148,1151,1152,1164,1165,1167,
1168,1169,1170,1172,1175,1179,1180,1181,1185,1194,1201,1214,1219,1222,1224,
1581,1591,1592,1593,1594,1595,1597,1608,1609,1637,1638,1640,1642,1647,1648,
1649,1650,1654,1656,1657,1658,1659,1853,1858,1859,1930,1931,1991,1993,1996,
2072],[1,2,4,5,6,8,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,37,
39,40,41,42,58,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,93,
95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,146,
148,155,156,165,168,171,175,176,177,184,187,192,203,226,228,236,260,262,265,
267,269,271,273,274,276,279,280,285,289,292,295,296,300,301,303,304,307,308,
309,310,319,325,328,329,332,334,335,341,343,352,364,369,370,377,388,389,395,
397,398,403,408,409,411,420,421,422,424,430,439,442,487,489,491,570,577,584,
585,597,615,625,627,672,673,676,678,679,680,681,688,689,693,694,695,708,710,
714,722,732,733,742,744,747,748,751,752,755,756,763,766,774,785,794,795,816,
822,834,868,876,922,931,976,980,990,1025,1030,1057,1146,1149,1158,1175,1229,
1230,1239,1247,1258,1265,1284,1296,1299,1300,1308,1313,1394,1396,1604,1616,
1620,1676,1678,1707,1864,1868,1934,2005,2073],[1,2,4,5,6,8,11,12,13,15,19,20,
21,22,24,27,29,31,32,34,35,37,41,42,58,65,66,67,68,70,71,72,73,75,76,77,79,80,
82,83,85,86,87,88,89,90,91,94,95,96,97,98,99,100,111,120,123,128,130,132,137,
138,140,141,146,148,161,162,165,168,171,175,184,187,226,228,235,260,261,262,
264,265,266,268,270,273,274,275,276,277,279,280,287,289,296,299,300,301,303,
307,310,316,318,321,325,328,329,332,334,335,338,343,352,360,368,369,377,384,
387,388,395,397,403,408,411,412,413,420,421,422,424,426,430,439,442,448,450,
470,482,485,512,570,577,584,585,615,625,627,672,673,675,676,679,681,683,685,
687,688,689,691,692,693,694,695,698,700,703,706,712,715,716,722,730,731,732,
734,736,742,743,744,749,750,755,756,763,766,771,775,776,779,786,813,816,817,
819,828,836,857,861,862,863,868,870,874,876,879,885,886,919,922,958,962,976,
980,1001,1010,1025,1030,1057,1146,1149,1152,1229,1231,1232,1233,1235,1240,
1241,1243,1247,1251,1255,1256,1258,1263,1264,1275,1281,1299,1300,1313,1315,
1316,1321,1336,1345,1350,1356,1371,1392,1394,1398,1403,1425,1468,1516,1518,
1519,1536,1604,1616,1620,1676,1682,1685,1708,1718,1801,1864,1871,1895,1935,
2005,2074],[1,2,4,5,6,9,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,
37,39,40,41,42,56,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,
93,95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,
146,148,155,156,165,168,171,175,176,177,184,187,192,203,227,233,234,237,253,
260,262,265,267,269,271,273,274,276,279,280,285,289,292,295,296,300,301,303,
304,307,308,309,310,319,325,328,329,332,334,335,341,343,352,364,369,370,377,
388,389,395,397,398,403,408,409,411,420,421,422,424,430,439,442,487,489,491,
570,577,584,585,597,618,624,632,672,673,676,678,679,680,681,688,689,693,694,
695,708,710,714,722,732,733,742,744,747,748,751,752,755,756,763,766,774,785,
794,795,816,822,834,868,876,922,931,976,980,990,1025,1030,1057,1145,1153,1155,
1157,1161,1173,1229,1230,1239,1247,1258,1265,1284,1296,1299,1300,1308,1313,
1394,1396,1605,1612,1623,1676,1678,1707,1865,1867,1934,2006,2075],[1,2,4,5,6,
9,11,12,13,15,19,20,21,22,24,27,29,31,32,34,35,37,41,42,56,65,66,67,68,70,71,
72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,94,95,96,97,98,99,100,111,120,
123,128,130,132,137,138,140,141,146,148,161,162,165,168,171,175,184,187,225,
227,232,233,237,260,261,262,264,265,266,268,270,273,274,275,276,277,279,280,
287,289,296,299,300,301,303,307,310,316,318,321,325,328,329,332,334,335,338,
343,352,360,368,369,377,384,387,388,395,397,403,408,411,412,413,420,421,422,
424,426,430,439,442,448,450,470,482,485,512,570,577,584,585,613,617,618,624,
628,632,637,643,672,673,675,676,679,681,683,685,687,688,689,691,692,693,694,
695,698,700,703,706,712,715,716,722,730,731,732,734,736,742,743,744,749,750,
755,756,763,766,771,775,776,779,786,813,816,817,819,828,836,857,861,862,863,
868,870,874,876,879,885,886,919,922,958,962,976,980,1001,1010,1025,1030,1057,
1145,1151,1161,1173,1183,1189,1209,1229,1231,1232,1233,1235,1240,1241,1243,
1247,1251,1255,1256,1258,1263,1264,1275,1281,1299,1300,1313,1315,1316,1321,
1336,1345,1350,1356,1371,1392,1394,1398,1403,1425,1468,1516,1518,1519,1536,
1603,1605,1607,1676,1682,1685,1708,1718,1801,1867,1872,1877,1893,1906,1924,
1935,2076],[1,2,4,5,6,10,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,
35,37,39,40,41,42,61,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,
92,93,95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,
146,148,155,156,165,168,171,175,176,177,184,187,192,203,229,230,231,238,239,
241,260,262,265,267,269,271,273,274,276,279,280,285,289,292,295,296,300,301,
303,304,307,308,309,310,319,325,328,329,332,334,335,341,343,352,364,369,370,
377,388,389,395,397,398,403,408,409,411,420,421,422,424,430,439,442,487,489,
491,570,577,584,585,597,626,630,634,639,641,657,662,672,673,676,678,679,680,
681,688,689,693,694,695,708,710,714,722,732,733,742,744,747,748,751,752,755,
756,763,766,774,785,794,795,816,822,834,868,876,922,931,976,980,990,1025,1030,
1057,1147,1150,1156,1159,1160,1200,1202,1229,1230,1239,1247,1258,1265,1284,
1296,1299,1300,1308,1313,1394,1396,1618,1624,1626,1676,1678,1707,1869,1873,
1925,1934,2077],[1,2,4,5,6,10,11,12,13,15,19,20,21,22,24,27,29,31,32,34,35,37,
41,42,61,65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,94,
95,96,97,98,99,100,111,120,123,128,130,132,137,138,140,141,146,148,161,162,
165,168,171,175,184,187,229,231,238,240,241,260,261,262,264,265,266,268,270,
273,274,275,276,277,279,280,287,289,296,299,300,301,303,307,310,316,318,321,
325,328,329,332,334,335,338,343,352,360,368,369,377,384,387,388,395,397,403,
408,411,412,413,420,421,422,424,426,430,439,442,448,450,470,482,485,512,570,
577,584,585,626,634,641,657,672,673,675,676,679,681,683,685,687,688,689,691,
692,693,694,695,698,700,703,706,712,715,716,722,730,731,732,734,736,742,743,
744,749,750,755,756,763,766,771,775,776,779,786,813,816,817,819,828,836,857,
861,862,863,868,870,874,876,879,885,886,919,922,958,962,976,980,1001,1010,
1025,1030,1057,1148,1150,1154,1159,1160,1200,1229,1231,1232,1233,1235,1240,
1241,1243,1247,1251,1255,1256,1258,1263,1264,1275,1281,1299,1300,1313,1315,
1316,1321,1336,1345,1350,1356,1371,1392,1394,1398,1403,1425,1468,1516,1518,
1519,1536,1610,1611,1626,1639,1676,1682,1685,1708,1718,1801,1866,1870,1873,
1921,1935,2010,2078],[1,2,4,5,6,8,11,12,13,15,20,21,22,24,27,29,31,32,33,35,
37,41,42,45,58,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,95,96,
98,99,100,120,123,128,132,137,138,141,146,147,148,150,165,168,171,175,184,186,
187,226,228,247,260,262,265,273,274,276,279,280,282,289,296,300,301,303,307,
310,325,328,329,332,334,335,343,352,363,369,371,377,388,392,395,397,403,408,
411,415,420,421,422,423,424,430,439,442,455,456,570,577,584,585,615,625,627,
672,673,676,679,681,688,689,693,694,695,722,732,742,744,755,756,761,763,766,
790,816,846,868,876,878,922,945,967,976,980,998,1025,1030,1057,1069,1095,1146,
1149,1170,1229,1236,1247,1250,1258,1299,1300,1313,1323,1332,1338,1343,1394,
1604,1616,1620,1676,1696,1697,1864,1879,1938,2005,2079],[1,2,4,5,6,7,8,11,12,
13,15,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,51,52,53,57,58,65,66,
67,68,70,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,95,96,98,99,100,103,
108,109,110,113,115,119,120,123,125,128,131,132,137,138,141,146,148,151,152,
154,159,160,163,164,165,166,168,169,170,171,172,174,175,183,184,187,190,195,
197,199,207,217,223,226,228,243,260,262,265,272,273,274,276,278,279,280,289,
290,293,294,296,298,300,301,303,305,307,310,323,325,327,328,329,332,333,334,
335,340,343,345,348,349,351,352,357,365,366,369,372,376,377,378,383,386,388,
391,395,396,397,399,403,408,411,420,421,422,424,428,430,431,433,435,439,442,
452,453,454,458,463,466,474,478,479,490,494,502,518,521,523,526,529,530,541,
546,549,554,559,560,569,570,577,582,584,585,586,591,614,615,625,627,629,646,
672,673,676,679,681,686,688,689,690,693,694,695,704,709,719,722,724,728,732,
739,740,742,744,755,756,763,766,782,783,805,806,816,821,824,826,831,859,860,
866,867,868,876,881,888,901,904,906,909,922,929,930,935,936,939,952,960,961,
964,976,978,980,991,1004,1006,1007,1015,1018,1025,1030,1041,1046,1048,1050,
1054,1057,1070,1079,1083,1106,1122,1134,1146,1149,1172,1196,1229,1247,1248,
1249,1253,1258,1260,1261,1262,1278,1295,1299,1300,1303,1310,1312,1313,1320,
1326,1358,1376,1377,1386,1388,1394,1416,1490,1507,1531,1549,1570,1584,1587,
1602,1604,1615,1616,1620,1655,1676,1684,1698,1706,1726,1795,1799,1805,1820,
1864,1888,1909,1966,2004,2005,2080],[1,2,4,5,6,8,11,12,13,15,20,21,22,24,27,
29,31,32,35,37,41,42,43,44,58,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,
88,89,90,95,96,98,99,100,120,123,128,132,137,138,141,142,146,148,153,165,168,
171,175,184,187,188,196,198,226,228,244,260,262,265,273,274,276,279,280,289,
296,300,301,303,307,310,325,328,329,332,334,335,343,352,355,361,369,377,379,
388,390,395,397,403,408,411,420,421,422,424,430,434,439,442,443,471,525,548,
570,577,579,583,584,585,615,625,627,672,673,676,679,681,688,689,693,694,695,
713,722,732,742,744,755,756,763,766,789,809,816,835,837,868,876,902,905,920,
922,956,976,980,1002,1021,1025,1030,1057,1104,1105,1146,1149,1165,1193,1229,
1245,1247,1258,1259,1282,1288,1299,1300,1313,1324,1335,1346,1394,1399,1524,
1529,1553,1604,1616,1620,1676,1683,1710,1756,1770,1864,1884,1928,1939,2005,
2081],[1,2,4,5,6,7,9,11,12,13,14,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,
35,37,38,39,40,41,42,43,44,46,51,52,53,56,60,65,66,67,68,71,72,73,77,78,79,80,
81,82,83,85,86,87,88,89,90,92,93,95,96,98,99,100,102,104,108,109,110,113,115,
119,120,121,123,125,126,128,131,132,133,137,138,139,141,142,143,146,148,151,
152,153,154,155,156,159,160,163,165,168,169,170,171,172,175,176,177,181,183,
184,187,188,190,192,193,197,198,199,200,203,206,207,215,217,220,223,227,233,
234,242,253,260,265,267,269,271,272,273,274,276,278,279,280,285,290,292,295,
300,301,304,305,307,308,309,310,319,323,327,328,329,332,333,334,335,340,341,
348,349,355,357,361,364,365,366,369,370,372,376,377,378,379,386,388,389,390,
391,395,398,399,403,408,409,411,420,421,422,424,428,430,431,433,434,435,439,
442,443,449,452,453,458,464,466,468,474,478,479,487,488,489,490,491,494,500,
502,505,516,518,519,521,523,526,541,546,549,554,557,559,560,564,566,568,569,
570,571,574,576,577,579,583,584,585,586,595,597,618,624,631,632,655,661,667,
672,673,678,680,686,688,689,693,694,695,704,708,710,713,714,728,733,740,747,
748,751,752,774,782,783,785,789,795,798,805,806,816,822,824,826,831,833,834,
837,838,847,859,860,866,867,868,881,884,888,901,902,909,910,916,917,918,922,
931,935,936,952,956,964,978,990,991,1006,1007,1011,1018,1021,1024,1025,1027,
1041,1046,1048,1050,1054,1057,1064,1068,1079,1090,1105,1106,1118,1131,1133,
1135,1136,1145,1153,1155,1157,1162,1195,1230,1245,1248,1258,1259,1260,1265,
1278,1280,1284,1287,1296,1303,1308,1318,1320,1335,1346,1357,1358,1360,1363,
1376,1380,1386,1389,1396,1409,1431,1493,1527,1574,1580,1584,1587,1605,1612,
1613,1619,1621,1623,1668,1678,1684,1710,1713,1742,1751,1752,1758,1777,1865,
1881,1918,1961,2006,2011,2082],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,20,21,
22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,56,62,
65,66,67,68,69,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,
96,98,99,100,101,102,103,104,105,106,107,108,109,112,113,114,115,116,117,118,
120,121,122,123,124,126,127,128,129,132,133,134,135,137,138,139,141,143,144,
145,146,148,149,155,156,157,158,164,165,166,167,168,170,171,172,173,174,175,
176,177,178,182,184,185,187,189,191,192,194,195,201,203,205,208,210,211,212,
227,233,234,245,253,259,260,263,265,267,269,271,272,273,274,276,278,279,280,
285,288,291,292,293,294,295,297,298,300,301,302,304,306,307,308,309,310,311,
312,313,314,315,317,319,320,322,324,326,327,328,329,330,331,332,334,335,336,
337,339,340,341,345,346,347,350,351,353,354,356,359,362,364,367,369,370,372,
373,374,377,380,381,383,385,388,389,391,394,395,396,398,400,401,402,403,404,
405,406,407,408,409,410,411,414,416,418,420,421,422,424,430,432,436,437,439,
440,442,444,445,457,459,460,467,477,486,487,489,491,499,511,513,514,517,524,
528,529,530,532,535,539,540,542,543,550,558,562,563,565,570,572,573,577,584,
585,587,588,590,592,594,596,597,618,624,632,642,651,656,672,673,674,677,678,
680,682,684,686,688,689,690,693,694,695,696,701,705,707,708,709,710,711,714,
717,718,719,720,721,723,724,725,726,727,729,733,735,737,738,739,741,745,746,
747,748,751,752,753,754,757,758,759,760,762,764,765,767,768,769,770,772,773,
774,777,778,780,781,784,785,787,788,791,792,793,795,799,801,802,804,807,808,
810,811,814,815,816,818,820,822,830,832,834,840,841,843,844,850,854,858,868,
869,872,873,887,889,890,892,895,896,897,899,900,903,904,908,914,922,925,926,
931,933,934,937,938,941,943,944,951,963,965,966,968,969,972,975,977,979,981,
985,987,988,990,993,994,996,997,999,1000,1003,1005,1008,1009,1012,1013,1014,
1016,1017,1019,1020,1022,1023,1025,1026,1028,1031,1051,1053,1056,1057,1074,
1111,1117,1145,1153,1155,1157,1174,1230,1237,1238,1242,1244,1246,1249,1252,
1254,1257,1258,1265,1266,1273,1277,1284,1285,1286,1289,1290,1293,1296,1297,
1301,1302,1305,1306,1308,1309,1317,1319,1328,1329,1331,1334,1337,1347,1349,
1351,1353,1354,1361,1369,1373,1383,1387,1391,1396,1404,1410,1414,1426,1436,
1437,1438,1441,1442,1443,1444,1452,1453,1454,1456,1465,1469,1470,1472,1476,
1484,1491,1496,1497,1498,1502,1503,1509,1512,1513,1514,1522,1547,1552,1605,
1612,1617,1622,1623,1627,1661,1678,1681,1703,1704,1730,1733,1748,1755,1772,
1787,1803,1843,1865,1891,1905,1919,1937,2006,2012,2083],[1,2,4,5,6,9,11,12,13,
14,15,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,55,56,
59,65,66,67,68,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,95,96,
97,98,99,100,102,104,111,120,121,123,126,128,130,132,133,136,137,138,139,140,
141,143,146,147,148,150,155,156,161,162,165,168,171,175,176,177,184,186,187,
192,202,203,204,209,218,227,233,234,246,253,260,261,264,265,267,268,269,271,
273,274,275,276,277,279,280,282,285,287,289,292,295,296,299,300,301,304,307,
308,309,310,316,318,319,321,325,328,329,332,334,335,338,341,352,360,363,364,
368,369,370,371,377,384,387,388,389,392,395,397,398,403,408,409,411,412,413,
415,420,421,422,423,424,426,430,439,442,448,450,455,456,461,462,470,472,473,
481,482,487,489,491,504,508,553,561,570,577,578,580,584,585,593,597,611,612,
618,620,624,632,638,645,672,673,678,680,681,683,685,687,688,689,691,692,693,
694,695,700,702,706,708,710,712,714,715,716,730,733,734,736,742,744,747,748,
749,750,751,752,755,756,761,763,774,775,776,785,786,790,795,797,812,816,819,
822,823,825,834,836,846,851,857,862,863,868,870,874,879,885,886,911,913,922,
927,931,953,955,962,967,980,986,990,998,1001,1010,1025,1030,1033,1036,1057,
1069,1076,1092,1103,1132,1145,1153,1155,1157,1178,1205,1230,1232,1233,1236,
1250,1251,1256,1258,1263,1264,1265,1275,1283,1284,1296,1298,1304,1308,1321,
1330,1332,1343,1345,1355,1362,1366,1371,1385,1394,1396,1402,1425,1428,1450,
1492,1516,1519,1539,1562,1601,1605,1606,1612,1614,1623,1625,1630,1678,1679,
1690,1695,1697,1705,1708,1724,1725,1738,1792,1865,1898,1911,1952,2003,2006,
2007,2084],[1,2,4,5,6,9,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,29,31,32,
35,37,39,40,41,42,51,56,65,66,67,68,71,72,73,77,79,80,82,83,84,85,86,87,88,89,
90,92,93,95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,
143,146,148,155,156,165,168,169,171,175,176,177,184,187,192,199,203,227,233,
234,249,253,260,263,265,267,269,271,273,274,276,279,280,285,291,292,295,300,
301,304,307,308,309,310,319,328,329,332,334,335,337,341,357,364,369,370,377,
386,388,389,395,398,403,408,409,411,420,421,422,424,430,433,439,442,454,463,
487,489,491,570,577,584,585,597,618,624,632,672,673,678,680,688,689,693,694,
695,696,708,710,714,733,747,748,751,752,774,783,785,795,816,822,834,868,922,
931,932,939,946,954,984,990,1025,1057,1066,1081,1145,1153,1155,1157,1166,1230,
1234,1258,1262,1265,1284,1296,1308,1314,1365,1382,1395,1396,1605,1612,1623,
1678,1692,1711,1865,1887,1936,2006,2085],[1,2,3,4,5,6,7,8,11,12,13,15,16,17,
20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,48,50,51,54,57,58,65,66,67,
68,69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,99,
100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,127,128,129,132,
137,138,141,144,146,148,157,158,164,165,166,168,169,170,171,172,174,175,178,
183,184,187,189,194,195,199,201,207,208,223,226,228,248,259,260,262,263,265,
272,273,274,276,278,279,280,288,289,291,293,294,296,297,298,300,301,302,303,
306,307,310,315,320,322,324,325,326,327,328,329,332,334,335,336,337,340,343,
345,346,351,352,356,357,362,369,372,374,377,380,383,386,388,391,394,395,396,
397,400,401,403,406,407,408,410,411,414,418,420,421,422,424,430,432,433,437,
439,442,444,454,457,463,466,474,477,499,511,513,524,526,528,529,530,539,541,
543,550,560,562,570,577,582,584,585,586,591,596,609,614,615,625,627,629,646,
672,673,674,676,679,681,684,686,688,689,690,693,694,695,696,709,718,719,722,
723,724,727,732,738,739,742,744,745,753,754,755,756,757,759,762,763,766,769,
772,773,777,781,783,791,793,802,814,816,818,854,859,860,868,873,876,899,900,
904,922,928,932,934,938,939,941,944,946,963,964,965,966,968,972,973,976,980,
985,992,996,1008,1014,1018,1023,1025,1028,1029,1030,1041,1057,1070,1081,1083,
1111,1122,1134,1146,1149,1181,1194,1229,1234,1237,1246,1247,1249,1252,1257,
1258,1262,1266,1293,1299,1300,1311,1312,1313,1327,1329,1337,1353,1359,1365,
1382,1386,1394,1397,1415,1437,1452,1456,1497,1507,1517,1530,1545,1570,1600,
1602,1604,1615,1616,1620,1655,1674,1676,1694,1698,1700,1703,1711,1716,1721,
1774,1784,1864,1883,1904,1942,2002,2004,2005,2086],[1,2,4,5,6,9,11,12,13,14,
15,18,20,21,22,23,24,25,26,27,29,31,32,35,36,37,39,40,41,42,51,56,65,66,67,68,
71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,93,95,96,98,99,100,102,103,104,
120,121,123,126,128,132,133,137,138,139,141,143,146,148,155,156,164,165,168,
169,171,175,176,177,184,187,192,196,199,203,227,233,234,251,253,260,265,267,
269,271,273,274,276,279,280,285,292,293,294,295,298,300,301,304,307,308,309,
310,319,328,329,332,334,335,341,357,364,369,370,377,386,388,389,395,398,403,
408,409,411,420,421,422,424,430,433,439,442,471,487,489,491,525,548,570,577,
582,584,585,591,597,618,624,632,672,673,678,680,688,689,690,693,694,695,708,
710,714,733,747,748,751,752,774,783,785,795,809,816,821,822,834,835,868,905,
906,920,922,931,961,990,1002,1004,1025,1057,1070,1104,1145,1153,1155,1157,
1182,1199,1230,1253,1258,1261,1265,1282,1284,1288,1296,1308,1312,1324,1326,
1396,1489,1504,1533,1567,1605,1612,1623,1678,1683,1706,1720,1763,1865,1894,
1914,1962,2006,2087],[1,2,4,5,6,7,8,11,12,13,15,20,21,22,24,27,28,29,30,31,32,
35,36,37,38,41,42,46,47,49,51,57,58,65,66,67,68,70,71,72,73,77,78,79,80,81,82,
83,85,86,87,88,89,90,95,96,98,99,100,101,103,106,108,109,113,114,115,118,120,
123,128,132,137,138,141,145,146,148,149,164,165,166,167,168,169,170,171,172,
173,174,175,182,183,184,185,187,191,195,199,205,207,211,223,226,228,252,260,
262,265,272,273,274,276,278,279,280,289,293,294,296,298,300,301,303,307,310,
311,312,313,314,317,325,327,328,329,330,331,332,334,335,339,340,343,345,347,
350,351,352,353,354,357,359,367,369,372,373,377,381,383,385,386,388,391,395,
396,397,402,403,404,405,408,411,416,420,421,422,424,430,433,436,439,440,442,
445,454,463,466,474,526,529,530,532,535,541,558,560,563,565,570,572,577,582,
584,585,586,588,590,591,614,615,625,627,629,646,672,673,676,679,681,686,688,
689,690,693,694,695,705,709,717,719,721,722,724,726,729,732,737,739,741,742,
744,755,756,758,763,764,765,766,768,780,783,810,816,840,843,859,860,868,872,
876,887,889,897,903,904,908,922,925,939,954,964,976,977,979,980,984,988,993,
994,997,1005,1012,1016,1017,1018,1019,1020,1022,1025,1026,1030,1041,1053,1057,
1066,1070,1083,1114,1122,1124,1134,1146,1149,1180,1214,1229,1244,1247,1249,
1254,1258,1262,1299,1300,1306,1312,1313,1314,1354,1361,1369,1386,1391,1394,
1395,1411,1426,1483,1488,1495,1496,1507,1512,1514,1560,1570,1571,1602,1604,
1615,1616,1620,1655,1676,1692,1698,1704,1723,1794,1796,1836,1864,1885,1907,
1955,2004,2005,2088],[1,2,4,5,6,9,11,12,13,14,15,18,20,21,22,23,24,25,26,27,
29,31,32,34,35,37,39,40,41,42,45,56,59,65,66,67,68,71,72,73,76,77,79,80,82,83,
85,86,87,88,89,90,91,92,93,94,95,96,98,99,100,102,104,120,121,123,126,128,130,
132,133,137,138,139,140,141,143,146,147,148,155,156,161,162,165,168,171,175,
176,177,184,186,187,192,202,203,209,218,227,233,234,250,253,260,264,265,266,
267,269,270,271,273,274,275,276,279,280,285,287,289,292,295,299,300,301,303,
304,307,308,309,310,316,318,319,321,325,328,329,332,334,335,338,341,352,360,
364,368,369,370,371,377,384,387,388,389,392,395,397,398,403,408,409,411,412,
420,421,422,423,424,430,439,442,448,455,456,461,472,473,481,482,485,487,489,
491,512,561,570,577,578,580,584,585,593,597,612,618,624,632,638,645,672,673,
675,678,680,685,687,688,689,693,694,695,703,706,708,710,714,715,730,731,733,
734,736,742,743,747,748,749,750,751,752,755,766,771,774,776,779,785,790,795,
797,812,813,816,817,819,822,828,834,836,857,861,862,863,868,874,876,878,879,
919,922,927,931,945,976,980,986,990,998,1010,1025,1033,1034,1036,1040,1057,
1092,1095,1103,1132,1145,1153,1155,1157,1187,1204,1230,1235,1250,1255,1256,
1258,1265,1275,1284,1296,1299,1308,1316,1323,1330,1336,1338,1350,1355,1356,
1396,1398,1400,1420,1466,1468,1510,1519,1539,1541,1562,1565,1605,1606,1612,
1614,1623,1630,1678,1685,1696,1705,1715,1731,1754,1826,1865,1882,1902,1953,
2006,2007,2089],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,
27,28,29,30,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,55,60,62,
66,67,69,72,73,74,75,77,78,79,81,84,85,86,88,92,93,95,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,121,122,124,125,126,
127,128,129,131,132,133,134,135,136,139,141,142,143,144,149,150,151,152,153,
154,155,156,157,158,159,160,162,163,165,166,169,171,172,173,174,175,176,177,
178,179,181,182,183,188,189,190,191,192,193,194,197,198,200,201,203,204,205,
206,207,208,210,211,212,214,215,217,220,221,222,227,233,234,253,254,260,261,
267,269,271,274,277,280,281,282,284,285,289,291,292,293,295,306,312,314,315,
318,320,322,323,328,330,331,333,336,338,340,341,345,348,349,353,354,355,356,
359,361,362,363,364,369,370,373,376,377,378,379,382,385,389,390,391,393,394,
396,399,400,401,402,404,405,406,407,413,415,418,419,426,428,429,431,432,433,
434,436,440,441,443,444,446,449,451,457,459,460,462,464,467,468,469,474,475,
479,480,483,484,486,487,488,489,490,491,493,496,498,499,500,501,502,504,505,
507,508,509,510,511,514,516,517,518,519,522,526,528,531,533,534,536,540,542,
544,546,547,549,550,551,553,554,555,557,559,562,564,565,566,568,569,571,573,
574,576,579,583,587,588,592,594,595,596,597,598,601,611,620,631,642,651,655,
656,661,667,673,677,681,682,684,691,692,697,701,702,707,708,711,713,714,715,
719,720,721,727,735,740,746,760,761,762,764,781,782,789,791,795,798,800,803,
810,820,825,827,830,831,833,838,841,847,849,851,854,855,856,865,866,867,869,
871,872,873,880,883,898,907,912,914,915,916,917,921,923,924,928,930,932,940,
950,953,964,966,968,970,972,973,982,983,987,994,995,1004,1007,1013,1015,1017,
1020,1024,1027,1035,1042,1043,1044,1046,1047,1049,1051,1055,1056,1059,1060,
1061,1064,1068,1071,1072,1074,1076,1077,1078,1080,1089,1090,1096,1101,1105,
1107,1108,1113,1115,1117,1118,1123,1127,1131,1133,1135,1136,1145,1153,1155,
1157,1220,1225,1230,1232,1236,1271,1272,1274,1276,1280,1283,1286,1287,1289,
1298,1301,1320,1325,1329,1333,1335,1344,1349,1352,1360,1363,1367,1368,1374,
1378,1381,1384,1390,1391,1393,1406,1408,1413,1423,1424,1430,1435,1460,1462,
1490,1500,1502,1513,1517,1574,1580,1581,1585,1588,1589,1601,1613,1617,1619,
1621,1622,1625,1627,1661,1668,1679,1681,1714,1722,1732,1749,1750,1758,1767,
1769,1779,1780,1781,1783,1806,1865,1901,1903,1927,1978,2003,2011,2012,2090],[
1,2,4,5,6,10,11,12,13,15,19,20,21,22,24,27,29,30,31,32,36,41,42,43,51,61,66,
67,68,70,71,72,73,75,77,78,79,80,82,85,89,90,94,96,98,99,103,109,111,128,132,
137,138,140,146,148,153,161,162,164,165,168,169,182,184,187,188,196,199,229,
231,238,240,256,261,262,266,270,272,273,277,279,280,287,296,298,299,300,303,
307,311,314,316,317,318,321,325,328,331,334,343,350,352,357,360,361,368,373,
379,383,387,396,397,403,408,413,421,426,430,439,442,443,454,463,466,471,474,
485,512,525,548,577,582,585,591,626,634,641,657,675,676,679,683,687,691,693,
698,709,712,713,717,722,731,732,743,744,749,750,756,764,766,771,779,803,813,
828,835,836,859,861,862,868,874,876,880,885,889,902,905,919,939,954,958,976,
984,993,1001,1002,1070,1082,1110,1148,1150,1154,1192,1203,1208,1231,1244,1245,
1251,1274,1281,1307,1313,1315,1324,1345,1350,1395,1403,1411,1427,1429,1455,
1467,1468,1478,1507,1520,1524,1529,1610,1611,1626,1639,1682,1688,1729,1770,
1794,1810,1818,1866,1910,1923,1929,1979,2010,2091],[1,2,3,4,5,6,7,9,11,12,13,
14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,59,60,62,66,67,69,72,73,74,76,77,78,79,80,81,84,
85,86,88,91,92,93,95,100,101,102,103,104,105,106,107,108,109,110,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,129,130,131,133,134,135,
137,139,140,141,142,143,144,147,148,149,151,152,153,154,155,156,157,158,159,
160,161,162,163,165,166,169,171,172,173,174,175,176,177,178,180,181,182,183,
186,188,189,190,191,192,193,194,197,198,200,201,202,203,205,206,207,208,209,
210,211,212,213,215,216,217,218,219,220,227,233,234,253,257,260,264,267,269,
271,274,275,280,283,285,286,287,291,292,293,295,299,301,306,312,314,315,318,
320,321,322,323,325,330,331,333,336,340,341,345,348,349,353,354,355,356,358,
359,361,362,364,369,370,371,373,375,376,377,378,379,384,385,387,389,390,391,
392,394,396,397,399,400,401,402,404,405,406,407,412,417,418,423,425,427,428,
430,431,432,433,434,436,438,440,443,444,447,448,449,451,455,456,457,458,459,
460,461,464,465,467,468,472,473,474,475,476,477,478,479,480,481,482,483,486,
487,488,489,490,491,492,494,495,497,500,503,505,506,514,515,516,517,518,519,
520,521,522,524,526,531,537,539,540,542,543,545,551,552,555,556,557,559,561,
562,564,565,566,568,569,571,573,574,576,578,579,580,583,587,588,592,593,594,
595,596,597,599,600,612,631,638,642,645,651,655,656,661,667,673,677,682,684,
685,687,699,701,707,708,711,713,714,719,720,721,727,734,735,736,740,742,746,
760,762,764,776,781,782,789,790,791,795,797,798,810,812,820,829,830,831,833,
836,838,839,841,842,845,847,848,852,853,854,864,866,867,869,872,873,875,877,
882,891,893,894,899,901,906,914,916,917,927,929,942,946,947,948,949,957,959,
960,964,966,968,971,974,986,987,989,992,994,998,1013,1017,1020,1024,1027,1029,
1032,1033,1036,1037,1046,1047,1051,1052,1056,1058,1063,1064,1065,1068,1074,
1084,1085,1090,1091,1092,1093,1094,1097,1098,1099,1102,1103,1105,1109,1112,
1116,1117,1118,1119,1121,1125,1128,1129,1131,1132,1133,1135,1136,1145,1153,
1155,1157,1190,1223,1230,1250,1256,1279,1280,1286,1287,1289,1291,1292,1294,
1301,1307,1320,1322,1329,1330,1335,1339,1340,1341,1342,1348,1349,1355,1360,
1363,1364,1370,1372,1375,1379,1391,1401,1407,1415,1416,1419,1421,1422,1434,
1446,1459,1494,1499,1502,1513,1539,1562,1573,1574,1578,1579,1580,1582,1606,
1613,1614,1617,1619,1621,1622,1627,1630,1661,1668,1681,1705,1717,1734,1735,
1736,1741,1753,1758,1762,1766,1776,1778,1791,1813,1865,1908,1912,1922,1970,
2007,2011,2012,2092],[1,2,4,5,6,7,10,11,12,13,15,19,20,21,22,24,27,28,29,31,
32,36,38,41,42,44,46,47,49,51,61,63,66,67,68,70,71,72,73,75,77,79,80,81,82,85,
89,90,94,96,98,99,101,103,106,111,114,115,118,128,132,137,138,140,142,145,146,
148,149,161,162,164,165,166,167,168,169,170,173,174,183,184,185,187,191,195,
196,198,199,207,222,223,229,231,238,240,255,261,262,266,270,273,277,278,279,
280,287,296,298,299,300,303,307,312,313,316,318,321,325,328,330,334,339,343,
345,351,352,355,357,359,360,368,381,387,390,397,402,403,404,405,408,413,421,
426,430,434,439,440,442,454,463,469,471,484,485,507,512,525,526,529,530,532,
535,541,544,548,558,560,563,567,572,575,577,581,582,585,586,589,590,591,626,
634,641,654,657,668,669,671,675,676,679,683,687,691,693,698,712,721,722,731,
732,739,741,743,744,749,750,756,766,771,779,789,800,813,828,835,836,860,861,
862,868,874,876,885,897,905,919,925,939,954,956,958,970,976,977,982,984,995,
1001,1002,1019,1038,1039,1045,1053,1061,1067,1070,1073,1083,1087,1091,1114,
1122,1124,1134,1137,1148,1150,1154,1207,1215,1221,1231,1251,1254,1259,1279,
1281,1313,1315,1324,1333,1345,1350,1395,1399,1403,1417,1429,1455,1461,1468,
1477,1482,1483,1488,1495,1501,1508,1515,1551,1553,1559,1560,1566,1570,1571,
1610,1611,1626,1639,1643,1653,1654,1682,1709,1723,1729,1737,1756,1761,1827,
1831,1842,1844,1866,1913,1915,1917,1980,2010,2020,2093],[1,2,3,4,5,6,7,9,11,
12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,48,50,51,55,
56,59,60,62,65,66,67,68,69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,95,96,98,99,100,103,105,107,108,109,112,113,115,116,117,120,122,123,124,
127,128,129,132,137,138,141,144,146,148,157,158,164,165,166,168,169,170,171,
172,174,175,178,183,184,187,189,194,195,199,201,207,208,223,227,233,237,242,
245,246,249,250,251,254,257,259,260,262,263,265,272,273,274,276,278,279,280,
288,289,291,293,294,296,297,298,300,301,302,303,306,307,310,315,320,322,324,
325,326,327,328,329,332,334,335,336,337,340,343,345,346,351,352,356,357,362,
369,372,374,377,380,383,386,388,391,394,395,396,397,400,401,403,406,407,408,
410,411,414,418,420,421,422,424,430,432,433,437,439,442,444,454,457,463,466,
474,477,499,511,513,524,526,528,529,530,539,541,543,550,560,562,570,577,582,
584,585,586,591,596,611,612,618,621,624,631,632,638,642,648,649,650,658,660,
664,667,672,673,674,676,679,681,684,686,688,689,690,693,694,695,696,709,718,
719,722,723,724,727,732,738,739,742,744,745,753,754,755,756,757,759,762,763,
766,769,772,773,777,781,783,791,793,802,814,816,818,854,859,860,868,873,876,
899,900,904,922,928,932,934,938,939,941,944,946,963,964,965,966,968,972,973,
976,980,985,992,996,1008,1014,1018,1023,1025,1028,1029,1030,1041,1057,1070,
1081,1083,1111,1122,1134,1145,1161,1162,1166,1173,1174,1178,1182,1187,1190,
1195,1199,1204,1205,1220,1222,1229,1234,1237,1246,1247,1249,1252,1257,1258,
1262,1266,1293,1299,1300,1311,1312,1313,1327,1329,1337,1353,1359,1365,1382,
1386,1394,1397,1415,1437,1452,1456,1497,1507,1517,1530,1545,1570,1601,1605,
1606,1617,1619,1629,1631,1632,1641,1651,1652,1660,1666,1674,1676,1694,1698,
1700,1703,1711,1716,1721,1774,1784,1867,1881,1882,1887,1891,1894,1898,1901,
1908,1933,1942,2008,2015,2033,2034,2035,2036,2039,2094],[1,2,3,4,5,6,7,8,11,
12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,33,35,36,37,38,39,40,41,
42,43,44,46,47,48,49,50,51,52,53,54,57,58,66,67,69,72,73,74,75,77,78,79,81,84,
85,86,88,92,93,95,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,121,122,124,125,126,127,128,129,131,132,133,134,135,136,
139,141,142,143,144,149,150,151,152,153,154,155,156,157,158,159,160,162,163,
165,166,169,171,172,173,174,175,176,177,178,179,181,182,183,188,189,190,191,
192,193,194,197,198,200,201,203,204,205,206,207,208,210,211,212,214,215,217,
220,221,222,226,228,235,236,243,244,247,248,252,260,261,267,269,271,274,277,
280,281,282,284,285,289,291,292,293,295,306,312,314,315,318,320,322,323,328,
330,331,333,336,338,340,341,345,348,349,353,354,355,356,359,361,362,363,364,
369,370,373,376,377,378,379,382,385,389,390,391,393,394,396,399,400,401,402,
404,405,406,407,413,415,418,419,426,428,429,431,432,433,434,436,440,441,443,
444,446,449,451,457,459,460,462,464,467,468,469,474,475,479,480,483,484,486,
487,488,489,490,491,493,496,498,499,500,501,502,504,505,507,508,509,510,511,
514,516,517,518,519,522,526,528,531,533,534,536,540,542,544,546,547,549,550,
551,553,554,555,557,559,562,564,565,566,568,569,571,573,574,576,579,583,587,
588,592,594,595,596,597,598,601,609,614,615,622,623,625,627,629,646,647,653,
663,665,666,673,677,681,682,684,691,692,697,701,702,707,708,711,713,714,715,
719,720,721,727,735,740,746,760,761,762,764,781,782,789,791,795,798,800,803,
810,820,825,827,830,831,833,838,841,847,849,851,854,855,856,865,866,867,869,
871,872,873,880,883,898,907,912,914,915,916,917,921,923,924,928,930,932,940,
950,953,964,966,968,970,972,973,982,983,987,994,995,1004,1007,1013,1015,1017,
1020,1024,1027,1035,1042,1043,1044,1046,1047,1049,1051,1055,1056,1059,1060,
1061,1064,1068,1071,1072,1074,1076,1077,1078,1080,1089,1090,1096,1101,1105,
1107,1108,1113,1115,1117,1118,1123,1127,1131,1133,1135,1136,1146,1152,1158,
1165,1170,1172,1175,1180,1181,1193,1194,1196,1214,1224,1230,1232,1236,1271,
1272,1274,1276,1280,1283,1286,1287,1289,1298,1301,1320,1325,1329,1333,1335,
1344,1349,1352,1360,1363,1367,1368,1374,1378,1381,1384,1390,1391,1393,1406,
1408,1413,1423,1424,1430,1435,1460,1462,1490,1500,1502,1513,1517,1574,1580,
1581,1585,1588,1589,1600,1602,1604,1609,1615,1620,1637,1638,1650,1656,1657,
1659,1663,1679,1681,1714,1722,1732,1749,1750,1758,1767,1769,1779,1780,1781,
1783,1806,1868,1879,1883,1884,1885,1888,1895,1904,1909,1930,1978,2009,2016,
2018,2024,2026,2028,2037,2095],[1,2,3,4,5,6,7,9,11,13,14,15,16,17,18,19,20,21,
22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,52,53,55,56,59,60,62,65,66,69,71,72,73,74,75,76,77,78,79,81,83,84,85,86,
87,89,91,92,93,97,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
134,135,136,137,138,139,141,142,143,144,147,149,150,151,152,153,154,155,156,
157,158,159,160,162,163,165,166,167,168,170,171,172,173,174,175,176,177,178,
179,180,181,182,184,185,186,187,188,189,191,192,193,194,195,197,198,200,201,
202,203,204,205,206,208,209,210,211,212,213,214,215,216,218,219,220,221,222,
225,232,233,237,242,245,246,249,250,251,254,257,259,261,263,264,265,268,269,
272,275,276,277,278,280,281,282,283,284,285,286,288,290,292,294,295,297,301,
302,304,305,306,308,309,311,312,314,315,318,320,322,323,324,326,327,328,329,
330,331,332,333,335,336,339,340,342,344,345,347,348,350,351,353,354,355,356,
358,359,361,362,363,364,367,370,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,389,390,391,392,393,394,396,398,400,402,404,405,406,407,409,410,
411,412,413,414,415,416,417,418,419,421,422,423,424,425,426,427,428,429,431,
432,434,435,436,437,438,440,441,443,444,445,446,447,449,450,451,457,458,459,
460,461,462,464,465,467,468,469,470,472,473,475,476,477,478,480,481,483,484,
486,488,489,490,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,510,511,513,514,515,516,517,519,520,521,522,523,524,527,528,531,
533,534,536,537,538,539,540,542,543,544,545,546,547,549,550,551,552,553,554,
555,556,558,562,565,566,568,570,572,573,576,578,580,585,587,588,592,594,595,
596,597,598,599,600,601,608,610,611,612,613,616,617,618,619,621,628,631,632,
633,635,636,637,638,640,642,644,648,649,650,658,660,664,674,677,680,682,685,
686,691,695,697,699,700,702,704,705,707,711,713,714,720,721,725,726,735,737,
740,745,746,747,748,751,752,757,759,760,761,764,765,767,768,769,770,775,777,
778,784,785,787,788,789,790,791,792,793,796,797,798,799,800,803,811,812,814,
815,820,823,825,826,827,829,832,833,834,837,838,839,840,841,842,843,845,846,
847,848,849,851,852,853,854,855,856,858,864,865,870,871,872,875,877,880,882,
883,884,887,890,891,893,894,895,898,899,900,901,904,907,909,910,911,912,913,
915,916,917,918,921,922,923,924,926,927,933,936,940,941,942,943,947,948,949,
950,951,953,955,957,959,965,966,967,970,971,972,974,975,977,981,982,983,985,
986,989,990,993,994,995,996,999,1000,1005,1006,1007,1011,1012,1013,1014,1016,
1021,1022,1023,1024,1026,1027,1035,1037,1042,1043,1044,1047,1051,1052,1055,
1056,1058,1059,1060,1061,1062,1063,1064,1065,1068,1071,1072,1074,1075,1076,
1078,1080,1084,1085,1086,1088,1089,1092,1093,1094,1096,1097,1098,1099,1100,
1101,1102,1107,1108,1109,1111,1112,1113,1115,1116,1117,1119,1120,1121,1123,
1125,1126,1127,1128,1129,1130,1151,1162,1163,1164,1166,1167,1168,1169,1171,
1173,1174,1176,1177,1178,1179,1182,1183,1184,1185,1186,1187,1188,1189,1190,
1191,1201,1204,1205,1210,1211,1212,1213,1219,1220,1222,1233,1238,1248,1252,
1268,1270,1273,1274,1276,1286,1287,1289,1291,1294,1296,1298,1302,1305,1309,
1317,1319,1328,1330,1331,1332,1333,1334,1339,1340,1346,1347,1357,1360,1362,
1367,1368,1369,1370,1372,1374,1379,1385,1389,1390,1401,1402,1405,1406,1407,
1408,1409,1413,1414,1418,1421,1422,1423,1424,1428,1430,1431,1432,1435,1437,
1445,1446,1449,1450,1453,1454,1459,1471,1474,1479,1480,1491,1492,1493,1494,
1496,1498,1499,1500,1505,1506,1511,1521,1527,1528,1532,1534,1535,1537,1540,
1542,1543,1544,1546,1548,1550,1555,1556,1557,1561,1563,1568,1573,1578,1579,
1581,1582,1585,1588,1589,1607,1608,1628,1629,1631,1632,1633,1634,1635,1636,
1640,1641,1642,1644,1645,1647,1648,1649,1651,1652,1658,1660,1667,1675,1724,
1735,1740,1745,1752,1753,1772,1781,1782,1786,1804,1806,1807,1808,1821,1824,
1825,1829,1832,1835,1837,1845,1880,1889,1892,1893,1896,1897,1899,1931,1932,
1933,1981,2014,2022,2027,2029,2030,2032,2038,2096],[1,2,3,4,5,6,7,9,11,13,15,
16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,45,48,
50,55,56,59,60,62,65,69,71,72,73,74,76,77,78,80,81,82,84,86,87,88,89,91,94,99,
100,101,103,104,105,106,116,121,122,123,124,126,129,132,133,137,138,139,140,
141,143,144,145,147,148,149,155,156,161,164,165,166,167,168,171,172,173,174,
175,176,177,178,182,184,185,186,187,189,192,194,195,196,201,202,203,205,208,
209,211,218,232,233,237,242,245,246,249,250,251,254,257,259,263,264,265,266,
267,273,274,287,292,293,294,295,297,298,299,302,304,309,310,311,312,313,314,
317,319,320,322,324,327,332,335,336,339,345,346,347,350,351,353,354,356,359,
367,370,371,373,374,377,380,381,383,385,394,395,396,398,400,401,407,409,410,
414,421,422,424,430,432,436,437,445,448,455,456,467,471,472,481,482,485,487,
491,499,512,524,525,532,535,542,548,561,562,563,567,570,575,578,580,581,585,
589,590,592,593,594,596,597,610,611,612,613,618,619,621,631,632,635,637,638,
642,643,648,649,650,658,660,664,674,678,688,690,701,703,705,708,710,717,723,
725,726,727,729,733,735,741,743,747,752,753,758,760,769,774,776,777,780,787,
799,801,804,807,808,809,810,814,817,820,822,830,843,844,850,854,858,869,878,
889,892,895,896,900,903,904,908,914,920,922,925,927,931,937,941,944,945,961,
965,966,969,979,981,985,987,988,996,997,998,999,1002,1003,1009,1012,1014,1017,
1020,1023,1031,1033,1034,1036,1038,1039,1040,1045,1067,1082,1103,1110,1132,
1137,1162,1163,1166,1171,1173,1174,1178,1182,1183,1187,1190,1191,1197,1204,
1205,1209,1213,1218,1220,1222,1235,1242,1246,1253,1267,1269,1277,1282,1284,
1306,1317,1319,1338,1387,1400,1420,1426,1437,1439,1441,1442,1443,1444,1447,
1448,1463,1464,1465,1466,1467,1475,1481,1484,1485,1489,1502,1503,1504,1508,
1510,1522,1562,1565,1603,1629,1631,1632,1634,1641,1651,1652,1660,1664,1677,
1715,1733,1746,1757,1763,1771,1822,1823,1833,1848,1874,1875,1876,1877,1878,
1886,1890,1933,1969,2013,2017,2019,2021,2023,2025,2031,2097],[1,2,3,4,11,12,
13,15,16,17,22,24,31,64,65,67,68,69,70,71,72,74,84,90,96,98,99,116,146,258,
259,260,262,263,265,279,291,302,307,322,337,343,439,672,674,676,684,696,718,
1226,1227,1229,1234,1237,1672,1674,2051,2098],[1,3,5,7,8,9,10,14,19,33,44,47,
50,53,54,55,57,58,60,62,63,64,134,136,179,206,214,221,222,224,225,230,234,235,
236,240,243,244,247,248,252,254,258,598,602,603,604,605,606,607,608,620,622,
623,640,644,647,653,656,659,661,663,665,666,671,1138,1139,1142,1143,1144,1201,
1224,1225,1228,1590,1591,1593,1595,1596,1598,1673,1857,1859,1860,2001,2052,
2099],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,65,66,
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,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,259,260,261,262,
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,
586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,
713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,
789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,
827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,
846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,
865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,
884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,
903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,
922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,
941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,
960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,
979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,
998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,
1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,
1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,
1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,
1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,
1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,
1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,
1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,
1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,
1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,
1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,
1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,
1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,
1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,
1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,
1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,
1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,
1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,
1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,
1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,
1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,
1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,
1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,
1585,1586,1587,1588,1589,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,
1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,
1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,
1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,
1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,
1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,
1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,
1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,
1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,
1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,
1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,
1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,
1849,1850,1851,1852,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,
1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,
1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,
1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,
1990,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,
2067,2100],[1,2,4,5,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,25,26,27,29,33,
35,37,39,40,41,42,55,58,61,66,67,72,73,75,77,79,85,86,88,92,93,95,100,102,104,
111,121,126,128,132,133,136,139,141,143,150,155,156,162,165,171,175,176,177,
192,203,204,224,226,227,228,229,230,233,234,235,236,239,241,247,253,260,261,
267,269,271,274,277,280,282,285,289,292,295,318,328,338,341,363,364,369,370,
377,389,413,415,426,462,487,489,491,504,508,553,597,602,611,615,620,625,627,
630,639,641,647,662,673,681,691,692,702,708,714,715,761,795,825,851,953,1076,
1138,1141,1145,1146,1147,1152,1153,1155,1156,1157,1158,1160,1170,1175,1202,
1230,1232,1236,1283,1298,1596,1601,1604,1618,1620,1625,1637,1679,1854,1856,
1865,1868,1869,1879,1895,1995,2003,2028,2068,2101],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,35,36,37,38,39,40,41,42,47,48,
49,50,54,57,58,61,62,66,67,69,72,73,74,77,78,79,81,84,86,88,92,93,95,100,101,
102,103,104,105,106,107,108,112,113,114,116,117,118,121,122,124,126,127,129,
133,134,135,139,141,143,149,155,156,165,166,171,173,174,175,176,177,182,189,
191,192,194,201,203,205,208,210,211,212,224,226,227,228,229,230,233,234,236,
239,241,248,252,253,260,267,269,271,274,280,285,291,292,293,295,306,312,314,
315,320,322,330,331,336,340,341,345,353,354,356,359,362,364,369,370,373,377,
385,389,394,396,400,401,402,404,405,406,407,418,432,436,440,444,459,460,467,
486,487,489,491,514,517,540,542,562,565,573,587,588,592,594,596,597,603,609,
614,615,623,625,627,629,630,639,641,642,651,656,662,673,677,682,684,701,707,
708,711,714,719,720,721,727,735,746,760,762,764,781,791,795,810,820,830,841,
854,869,872,873,914,966,968,987,994,1013,1017,1020,1051,1056,1074,1117,1138,
1141,1145,1146,1147,1153,1155,1156,1157,1158,1160,1175,1180,1181,1194,1202,
1214,1230,1286,1289,1301,1329,1349,1391,1502,1513,1590,1600,1602,1604,1617,
1618,1622,1627,1638,1661,1681,1854,1856,1865,1868,1869,1883,1885,1994,2009,
2012,2068,2102],[1,2,3,4,8,9,10,11,12,13,15,16,17,22,24,31,54,56,61,62,65,67,
68,69,70,71,72,74,84,90,96,98,99,116,146,224,226,227,228,229,231,233,237,238,
241,245,249,259,260,262,263,265,279,291,302,307,322,337,343,439,603,609,618,
624,626,632,634,641,642,650,657,672,674,676,684,696,718,1140,1141,1145,1146,
1149,1150,1159,1160,1161,1166,1173,1174,1200,1229,1234,1237,1597,1600,1605,
1617,1626,1641,1674,1854,1855,1864,1867,1873,1887,1891,1994,2002,2015,2069,
2103],[1,2,4,5,6,7,8,9,10,11,12,13,14,15,18,20,21,22,23,25,26,28,29,30,35,37,
39,40,41,42,43,44,46,51,52,53,57,58,60,61,63,66,67,72,73,77,79,86,88,92,93,95,
100,102,104,109,110,113,115,119,121,125,126,131,133,139,141,142,143,153,155,
156,159,163,165,169,171,172,175,176,177,181,183,188,190,192,193,197,198,200,
203,206,207,215,217,220,224,226,227,228,229,230,233,234,236,239,241,243,244,
253,255,256,260,267,269,271,274,280,285,292,295,323,333,341,348,349,355,361,
364,369,370,376,377,378,379,389,390,391,399,428,431,433,434,443,449,464,468,
474,479,487,488,489,491,500,505,516,518,519,526,557,559,564,566,568,569,571,
574,576,579,583,595,597,604,614,615,625,627,630,631,639,641,646,652,655,659,
661,662,666,667,669,670,673,708,713,714,740,782,789,795,798,831,833,838,847,
866,867,916,917,964,1024,1027,1046,1064,1068,1090,1105,1118,1131,1133,1135,
1136,1138,1141,1145,1146,1147,1153,1155,1156,1157,1158,1160,1165,1172,1175,
1193,1196,1198,1202,1206,1207,1208,1216,1217,1230,1280,1287,1320,1335,1360,
1363,1574,1580,1598,1599,1604,1613,1615,1618,1619,1621,1646,1650,1663,1665,
1668,1670,1671,1758,1854,1856,1865,1868,1869,1884,1888,1900,1916,1992,1998,
2011,2037,2040,2068,2104],[1,2,4,7,8,9,10,11,12,13,15,22,24,28,30,31,36,38,46,
51,56,57,60,61,63,65,67,68,70,71,72,78,81,90,96,98,99,103,108,109,113,115,146,
164,166,169,170,172,174,183,195,199,207,223,224,226,227,228,229,231,233,237,
238,241,242,251,255,256,260,262,265,272,278,279,293,294,298,307,327,340,343,
345,351,357,372,383,386,391,396,433,439,454,463,466,474,526,529,530,541,560,
582,586,591,604,614,618,624,626,629,631,632,634,641,646,654,657,664,667,668,
669,670,672,676,686,690,709,719,724,739,783,859,860,904,939,964,1018,1041,
1070,1083,1122,1134,1140,1141,1145,1146,1149,1150,1159,1160,1161,1162,1173,
1182,1192,1195,1199,1200,1203,1207,1208,1215,1221,1229,1249,1262,1312,1386,
1507,1570,1592,1599,1602,1605,1615,1619,1626,1643,1652,1655,1662,1666,1669,
1671,1698,1854,1855,1864,1867,1873,1881,1894,1917,1923,1992,1997,2004,2034,
2041,2069,2105],[1,2,4,5,6,8,9,10,11,12,13,15,20,21,22,24,27,29,31,32,35,37,
41,42,55,56,58,59,61,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,
95,96,98,99,100,120,123,128,132,137,138,141,146,148,165,168,171,175,184,187,
224,226,227,228,229,231,233,237,238,241,246,250,260,262,265,273,274,276,279,
280,289,296,300,301,303,307,310,325,328,329,332,334,335,343,352,369,377,388,
395,397,403,408,411,420,421,422,424,430,439,442,570,577,584,585,602,611,612,
615,618,621,624,625,626,627,632,634,638,641,657,672,673,676,679,681,688,689,
693,694,695,722,732,742,744,755,756,763,766,816,868,876,922,976,980,1025,1030,
1057,1140,1141,1145,1146,1149,1150,1159,1160,1161,1173,1178,1187,1200,1204,
1205,1229,1247,1258,1299,1300,1313,1394,1594,1601,1604,1605,1606,1616,1620,
1626,1651,1676,1854,1855,1864,1867,1873,1882,1898,1995,2005,2008,2069,2106],[
1,2,4,5,7,8,9,10,11,12,19,21,24,31,32,36,38,44,46,47,51,56,57,58,60,61,63,66,
68,75,80,94,96,101,118,138,142,145,149,164,167,170,174,185,195,196,199,207,
222,223,224,225,226,227,228,229,231,235,237,238,240,241,242,244,251,252,255,
256,261,262,266,270,303,321,334,434,440,463,471,484,507,530,535,563,572,581,
582,586,589,604,615,617,624,626,629,643,644,646,654,663,664,667,668,669,670,
671,679,683,731,835,954,956,970,1019,1038,1087,1091,1122,1124,1139,1140,1141,
1148,1149,1150,1151,1152,1154,1159,1161,1165,1167,1180,1185,1195,1197,1199,
1203,1209,1215,1218,1231,1399,1429,1501,1559,1560,1566,1592,1593,1599,1611,
1616,1643,1648,1653,1654,1655,1659,1664,1666,1669,1842,1853,1855,1866,1870,
1871,1872,1907,1915,1928,1929,1993,1997,2020,2044,2049,2050,2070,2107],[1,2,4,
8,11,12,13,15,22,24,31,64,65,67,68,70,71,72,90,96,98,99,146,226,228,260,262,
265,279,307,343,439,606,672,676,1146,1149,1226,1227,1229,1864,2051,2108],[1,2,
4,9,11,12,13,15,22,24,31,56,64,65,67,68,70,71,72,90,96,98,99,146,227,233,237,
260,262,265,279,307,343,439,605,618,624,632,672,676,1145,1161,1173,1226,1227,
1229,1605,1861,1867,2051,2109],[1,2,4,10,11,12,13,15,22,24,31,61,64,65,67,68,
70,71,72,90,96,98,99,146,229,231,238,241,260,262,265,279,307,343,439,607,626,
634,641,657,672,676,1150,1159,1160,1200,1226,1227,1229,1626,1863,1873,2051,
2110],[1,2,6,9,13,18,29,32,34,37,39,45,56,59,64,65,86,89,91,94,137,140,156,
161,186,209,218,232,233,250,253,267,319,335,455,482,512,580,593,605,610,618,
635,637,638,643,645,678,703,878,1040,1103,1155,1187,1191,1226,1565,1603,1623,
1630,1861,1862,1886,1902,2111],[1,2,5,6,9,13,14,18,19,20,21,25,26,27,33,34,41,
45,55,56,59,64,65,75,76,77,87,97,102,104,111,123,130,132,136,147,150,162,202,
204,209,225,232,233,234,246,253,269,308,332,384,392,413,415,450,461,462,472,
504,605,608,610,611,612,613,616,617,618,619,620,628,645,680,700,812,823,846,
913,953,1153,1169,1171,1178,1226,1402,1607,1612,1614,1625,1860,1861,1862,1897,
1911,2112],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,
28,29,30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,51,54,57,58,65,66,67,68,
69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,98,99,
100,101,102,103,104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,
122,123,124,126,127,128,129,132,133,134,135,137,138,139,141,143,144,145,146,
148,149,155,156,157,158,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,182,183,184,185,187,189,191,192,194,195,199,201,203,205,207,208,210,
211,212,223,226,228,236,248,252,259,260,262,263,265,267,269,271,272,273,274,
276,278,279,280,285,288,289,291,292,293,294,295,296,297,298,300,301,302,303,
304,306,307,308,309,310,311,312,313,314,315,317,319,320,322,324,325,326,327,
328,329,330,331,332,334,335,336,337,339,340,341,343,345,346,347,350,351,352,
353,354,356,357,359,362,364,367,369,370,372,373,374,377,380,381,383,385,386,
388,389,391,394,395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,
411,414,416,418,420,421,422,424,430,432,433,436,437,439,440,442,444,445,454,
457,459,460,463,466,467,474,477,486,487,489,491,499,511,513,514,517,524,526,
528,529,530,532,535,539,540,541,542,543,550,558,560,562,563,565,570,572,573,
577,582,584,585,586,587,588,590,591,592,594,596,597,609,614,615,623,625,627,
629,646,672,673,674,676,677,678,679,680,681,682,684,686,688,689,690,693,694,
695,696,701,705,707,708,709,710,711,714,717,718,719,720,721,722,723,724,725,
726,727,729,732,733,735,737,738,739,741,742,744,745,746,747,748,751,752,753,
754,755,756,757,758,759,760,762,763,764,765,766,767,768,769,770,772,773,774,
777,778,780,781,783,784,785,787,788,791,792,793,794,795,799,801,802,804,807,
808,810,811,814,815,816,818,820,822,830,832,834,840,841,843,844,850,854,858,
859,860,868,869,872,873,876,887,889,890,892,895,896,897,899,900,903,904,908,
914,922,925,926,928,931,932,933,934,937,938,939,941,943,944,946,951,954,963,
964,965,966,968,969,972,973,975,976,977,979,980,981,984,985,987,988,990,992,
993,994,996,997,999,1000,1003,1005,1008,1009,1012,1013,1014,1016,1017,1018,
1019,1020,1022,1023,1025,1026,1028,1029,1030,1031,1041,1051,1053,1056,1057,
1066,1070,1074,1081,1083,1111,1114,1117,1122,1124,1134,1146,1149,1158,1175,
1180,1181,1194,1214,1229,1230,1234,1237,1238,1239,1242,1244,1246,1247,1249,
1252,1254,1257,1258,1262,1265,1266,1273,1277,1284,1285,1286,1289,1290,1293,
1296,1297,1299,1300,1301,1302,1305,1306,1308,1309,1311,1312,1313,1314,1317,
1319,1327,1328,1329,1331,1334,1337,1347,1349,1351,1353,1354,1359,1361,1365,
1369,1373,1382,1383,1386,1387,1391,1394,1395,1396,1397,1404,1410,1411,1414,
1415,1426,1436,1437,1438,1441,1442,1443,1444,1452,1453,1454,1456,1465,1469,
1470,1472,1476,1483,1484,1488,1491,1495,1496,1497,1498,1502,1503,1507,1509,
1512,1513,1514,1517,1522,1530,1545,1547,1552,1560,1570,1571,1600,1602,1604,
1615,1616,1620,1638,1655,1674,1676,1678,1681,1692,1694,1698,1700,1703,1704,
1707,1711,1716,1721,1723,1730,1733,1748,1755,1772,1774,1784,1787,1794,1796,
1803,1836,1843,1864,1868,1883,1885,1904,1907,1934,1936,1937,1942,1943,1947,
1955,2002,2004,2005,2009,2054,2073,2086,2088,2113],[1,2,4,5,6,9,11,12,13,14,
15,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,55,56,59,
65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,102,104,111,120,121,123,126,128,130,132,133,136,137,138,139,
140,141,143,146,147,148,150,155,156,161,162,165,168,171,175,176,177,184,186,
187,192,202,203,204,209,218,227,233,234,237,246,250,253,260,261,262,264,265,
266,267,268,269,270,271,273,274,275,276,277,279,280,282,285,287,289,292,295,
296,299,300,301,303,304,307,308,309,310,316,318,319,321,325,328,329,332,334,
335,338,341,343,352,360,363,364,368,369,370,371,377,384,387,388,389,392,395,
397,398,403,408,409,411,412,413,415,420,421,422,423,424,426,430,439,442,448,
450,455,456,461,462,470,472,473,481,482,485,487,489,491,504,508,512,553,561,
570,577,578,580,584,585,593,597,611,612,618,620,621,624,632,638,645,672,673,
675,676,678,679,680,681,683,685,687,688,689,691,692,693,694,695,698,700,702,
703,706,708,710,712,714,715,716,722,730,731,732,733,734,736,742,743,744,747,
748,749,750,751,752,755,756,761,763,766,771,774,775,776,779,785,786,790,794,
795,797,812,813,816,817,819,822,823,825,828,834,836,846,851,857,861,862,863,
868,870,874,876,878,879,885,886,911,913,919,922,927,931,945,953,955,958,962,
967,976,980,986,990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,
1076,1092,1095,1103,1132,1145,1153,1155,1157,1161,1173,1178,1187,1204,1205,
1229,1230,1231,1232,1233,1235,1236,1239,1240,1241,1243,1247,1250,1251,1255,
1256,1258,1263,1264,1265,1275,1281,1283,1284,1296,1298,1299,1300,1304,1308,
1313,1315,1316,1321,1323,1330,1332,1336,1338,1343,1345,1350,1355,1356,1362,
1366,1371,1385,1392,1394,1396,1398,1400,1402,1403,1420,1425,1428,1450,1466,
1468,1492,1510,1516,1518,1519,1536,1539,1541,1562,1565,1601,1605,1606,1612,
1614,1623,1625,1630,1651,1676,1678,1679,1682,1685,1690,1695,1696,1697,1705,
1707,1708,1715,1718,1724,1725,1731,1738,1754,1792,1801,1826,1865,1867,1882,
1898,1902,1911,1934,1935,1938,1951,1952,1953,1954,2003,2006,2007,2008,2053,
2075,2084,2089,2114],[1,2,4,5,6,9,11,12,13,14,15,18,19,20,21,22,23,24,25,26,
27,29,31,32,33,34,35,37,39,40,41,42,45,55,56,59,65,66,67,68,70,71,72,73,75,76,
77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,104,111,
120,121,123,126,128,130,132,133,136,137,138,139,140,141,143,146,147,148,150,
155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,203,204,209,218,
225,227,232,233,237,246,250,260,261,262,264,265,266,267,268,269,270,271,273,
274,275,276,277,279,280,282,285,287,289,292,295,296,299,300,301,303,304,307,
308,309,310,316,318,319,321,325,328,329,332,334,335,338,341,343,352,360,363,
364,368,369,370,371,377,384,387,388,389,392,395,397,398,403,408,409,411,412,
413,415,420,421,422,423,424,426,430,439,442,448,450,455,456,461,462,470,472,
473,481,482,485,487,489,491,504,508,512,553,561,570,577,578,580,584,585,593,
597,608,610,611,612,613,616,617,618,619,621,624,628,632,635,637,638,643,672,
673,675,676,678,679,680,681,683,685,687,688,689,691,692,693,694,695,698,700,
702,703,706,708,710,712,714,715,716,722,730,731,732,733,734,736,742,743,744,
747,748,749,750,751,752,755,756,761,763,766,771,774,775,776,779,785,786,790,
794,795,797,812,813,816,817,819,822,823,825,828,834,836,846,851,857,861,862,
863,868,870,874,876,878,879,885,886,911,913,919,922,927,931,945,953,955,958,
962,967,976,980,986,990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,
1076,1092,1095,1103,1132,1145,1151,1161,1163,1168,1169,1171,1173,1178,1183,
1187,1189,1191,1204,1205,1209,1213,1229,1230,1231,1232,1233,1235,1236,1239,
1240,1241,1243,1247,1250,1251,1255,1256,1258,1263,1264,1265,1275,1281,1283,
1284,1296,1298,1299,1300,1304,1308,1313,1315,1316,1321,1323,1330,1332,1336,
1338,1343,1345,1350,1355,1356,1362,1366,1371,1385,1392,1394,1396,1398,1400,
1402,1403,1420,1425,1428,1450,1466,1468,1492,1510,1516,1518,1519,1536,1539,
1541,1562,1565,1601,1603,1605,1606,1607,1608,1634,1651,1676,1678,1679,1682,
1685,1690,1695,1696,1697,1705,1707,1708,1715,1718,1724,1725,1731,1738,1754,
1792,1801,1826,1867,1872,1874,1877,1882,1886,1889,1893,1897,1898,1906,1924,
1934,1935,1938,1951,1952,1953,1954,2008,2019,2038,2053,2076,2115],[1,2,3,4,5,
6,7,8,11,12,13,15,16,17,19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,
46,48,50,51,52,53,54,57,58,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,94,95,96,97,98,99,100,103,105,107,108,109,110,
111,112,113,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,137,
138,140,141,144,146,148,151,152,154,157,158,159,160,161,162,163,164,165,166,
168,169,170,171,172,174,175,178,179,180,183,184,187,189,190,194,195,197,199,
201,207,208,217,223,226,228,235,243,248,259,260,261,262,263,264,265,266,268,
270,272,273,274,275,276,277,278,279,280,281,283,284,286,287,288,289,290,291,
293,294,296,297,298,299,300,301,302,303,305,306,307,310,315,316,318,320,321,
322,323,324,325,326,327,328,329,332,333,334,335,336,337,338,340,342,343,344,
345,346,348,349,351,352,356,357,358,360,362,365,366,368,369,372,374,375,376,
377,378,380,382,383,384,386,387,388,391,393,394,395,396,397,399,400,401,403,
406,407,408,410,411,412,413,414,417,418,419,420,421,422,424,425,426,427,428,
429,430,431,432,433,435,437,438,439,441,442,444,446,448,450,451,452,453,454,
457,458,463,466,470,474,475,477,478,479,480,482,483,485,490,494,499,502,509,
511,512,513,518,521,522,523,524,526,527,528,529,530,531,536,537,538,539,541,
543,546,549,550,551,554,555,556,559,560,562,569,570,577,582,584,585,586,591,
596,609,614,615,622,625,627,629,646,672,673,674,675,676,679,681,683,684,685,
686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,703,704,706,709,
712,715,716,718,719,722,723,724,727,728,730,731,732,734,736,738,739,740,742,
743,744,745,749,750,753,754,755,756,757,759,762,763,766,769,771,772,773,775,
776,777,779,781,782,783,786,791,793,796,802,805,806,813,814,816,817,818,819,
821,824,826,828,831,836,854,856,857,859,860,861,862,863,865,866,867,868,870,
871,873,874,875,876,877,879,881,885,886,888,894,898,899,900,901,904,906,909,
912,919,922,923,928,929,930,932,934,935,936,938,939,941,944,946,947,948,949,
950,952,958,959,960,961,962,963,964,965,966,968,972,973,976,978,980,985,991,
992,996,1001,1004,1006,1007,1008,1010,1014,1015,1018,1023,1025,1028,1029,1030,
1041,1046,1047,1048,1050,1054,1057,1062,1070,1075,1079,1081,1083,1086,1088,
1100,1106,1107,1111,1120,1121,1122,1126,1130,1134,1146,1149,1152,1172,1181,
1194,1196,1229,1231,1232,1233,1234,1235,1237,1240,1241,1243,1246,1247,1248,
1249,1251,1252,1253,1255,1256,1257,1258,1260,1261,1262,1263,1264,1266,1267,
1268,1269,1270,1275,1278,1281,1292,1293,1294,1295,1299,1300,1303,1310,1311,
1312,1313,1315,1316,1320,1321,1322,1326,1327,1329,1336,1337,1345,1350,1352,
1353,1356,1358,1359,1364,1365,1367,1371,1376,1377,1378,1382,1386,1388,1392,
1393,1394,1397,1398,1403,1412,1415,1416,1419,1425,1434,1437,1440,1451,1452,
1456,1460,1462,1468,1473,1480,1490,1497,1507,1516,1517,1518,1519,1526,1530,
1531,1536,1537,1545,1549,1554,1558,1563,1564,1569,1570,1584,1587,1600,1602,
1604,1609,1615,1616,1620,1655,1674,1675,1676,1677,1680,1682,1684,1685,1686,
1687,1693,1694,1698,1699,1700,1701,1702,1703,1706,1708,1711,1712,1716,1718,
1719,1721,1726,1727,1728,1739,1767,1774,1778,1784,1785,1790,1795,1798,1799,
1801,1805,1817,1820,1828,1849,1864,1871,1883,1888,1895,1904,1909,1935,1941,
1942,1944,1960,1965,1966,1982,1986,2002,2004,2005,2018,2055,2074,2080,2086,
2116],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,51,56,62,65,66,67,68,69,70,71,
72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,98,99,100,101,
102,103,104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,122,123,
124,126,127,128,129,132,133,134,135,137,138,139,141,143,144,145,146,148,149,
155,156,157,158,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
182,183,184,185,187,189,191,192,194,195,199,201,203,205,207,208,210,211,212,
223,227,233,234,237,245,249,253,259,260,262,263,265,267,269,271,272,273,274,
276,278,279,280,285,288,289,291,292,293,294,295,296,297,298,300,301,302,303,
304,306,307,308,309,310,311,312,313,314,315,317,319,320,322,324,325,326,327,
328,329,330,331,332,334,335,336,337,339,340,341,343,345,346,347,350,351,352,
353,354,356,357,359,362,364,367,369,370,372,373,374,377,380,381,383,385,386,
388,389,391,394,395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,
411,414,416,418,420,421,422,424,430,432,433,436,437,439,440,442,444,445,454,
457,459,460,463,466,467,474,477,486,487,489,491,499,511,513,514,517,524,526,
528,529,530,532,535,539,540,541,542,543,550,558,560,562,563,565,570,572,573,
577,582,584,585,586,587,588,590,591,592,594,596,597,618,624,632,642,650,651,
656,672,673,674,676,677,678,679,680,681,682,684,686,688,689,690,693,694,695,
696,701,705,707,708,709,710,711,714,717,718,719,720,721,722,723,724,725,726,
727,729,732,733,735,737,738,739,741,742,744,745,746,747,748,751,752,753,754,
755,756,757,758,759,760,762,763,764,765,766,767,768,769,770,772,773,774,777,
778,780,781,783,784,785,787,788,791,792,793,794,795,799,801,802,804,807,808,
810,811,814,815,816,818,820,822,830,832,834,840,841,843,844,850,854,858,859,
860,868,869,872,873,876,887,889,890,892,895,896,897,899,900,903,904,908,914,
922,925,926,928,931,932,933,934,937,938,939,941,943,944,946,951,954,963,964,
965,966,968,969,972,973,975,976,977,979,980,981,984,985,987,988,990,992,993,
994,996,997,999,1000,1003,1005,1008,1009,1012,1013,1014,1016,1017,1018,1019,
1020,1022,1023,1025,1026,1028,1029,1030,1031,1041,1051,1053,1056,1057,1066,
1070,1074,1081,1083,1111,1114,1117,1122,1124,1134,1145,1153,1155,1157,1161,
1166,1173,1174,1229,1230,1234,1237,1238,1239,1242,1244,1246,1247,1249,1252,
1254,1257,1258,1262,1265,1266,1273,1277,1284,1285,1286,1289,1290,1293,1296,
1297,1299,1300,1301,1302,1305,1306,1308,1309,1311,1312,1313,1314,1317,1319,
1327,1328,1329,1331,1334,1337,1347,1349,1351,1353,1354,1359,1361,1365,1369,
1373,1382,1383,1386,1387,1391,1394,1395,1396,1397,1404,1410,1411,1414,1415,
1426,1436,1437,1438,1441,1442,1443,1444,1452,1453,1454,1456,1465,1469,1470,
1472,1476,1483,1484,1488,1491,1495,1496,1497,1498,1502,1503,1507,1509,1512,
1513,1514,1517,1522,1530,1545,1547,1552,1560,1570,1571,1605,1612,1617,1622,
1623,1627,1641,1661,1674,1676,1678,1681,1692,1694,1698,1700,1703,1704,1707,
1711,1716,1721,1723,1730,1733,1748,1755,1772,1774,1784,1787,1794,1796,1803,
1836,1843,1865,1867,1887,1891,1905,1919,1934,1936,1937,1942,1943,1947,1955,
2006,2012,2015,2054,2075,2083,2085,2117],[1,2,4,5,6,7,9,11,12,13,14,15,18,20,
21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,46,51,52,53,
56,60,65,66,67,68,70,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,92,93,95,
96,98,99,100,102,103,104,108,109,110,113,115,119,120,121,123,125,126,128,131,
132,133,137,138,139,141,142,143,146,148,151,152,153,154,155,156,159,160,163,
164,165,166,168,169,170,171,172,174,175,176,177,181,183,184,187,188,190,192,
193,195,196,197,198,199,200,203,206,207,215,217,220,223,227,233,234,237,242,
251,253,260,262,265,267,269,271,272,273,274,276,278,279,280,285,289,290,292,
293,294,295,296,298,300,301,303,304,305,307,308,309,310,319,323,325,327,328,
329,332,333,334,335,340,341,343,345,348,349,351,352,355,357,361,364,365,366,
369,370,372,376,377,378,379,383,386,388,389,390,391,395,396,397,398,399,403,
408,409,411,420,421,422,424,428,430,431,433,434,435,439,442,443,449,452,453,
454,458,463,464,466,468,471,474,478,479,487,488,489,490,491,494,500,502,505,
516,518,519,521,523,525,526,529,530,541,546,548,549,554,557,559,560,564,566,
568,569,570,571,574,576,577,579,582,583,584,585,586,591,595,597,618,624,631,
632,655,661,664,667,672,673,676,678,679,680,681,686,688,689,690,693,694,695,
704,708,709,710,713,714,719,722,724,728,732,733,739,740,742,744,747,748,751,
752,755,756,763,766,774,782,783,785,789,794,795,798,805,806,809,816,821,822,
824,826,831,833,834,835,837,838,847,859,860,866,867,868,876,881,884,888,901,
902,904,905,906,909,910,916,917,918,920,922,929,930,931,935,936,939,952,956,
960,961,964,976,978,980,990,991,1002,1004,1006,1007,1011,1015,1018,1021,1024,
1025,1027,1030,1041,1046,1048,1050,1054,1057,1064,1068,1070,1079,1083,1090,
1104,1105,1106,1118,1122,1131,1133,1134,1135,1136,1145,1153,1155,1157,1161,
1162,1173,1182,1195,1199,1229,1230,1239,1245,1247,1248,1249,1253,1258,1259,
1260,1261,1262,1265,1278,1280,1282,1284,1287,1288,1295,1296,1299,1300,1303,
1308,1310,1312,1313,1318,1320,1324,1326,1335,1346,1357,1358,1360,1363,1376,
1377,1380,1386,1388,1389,1394,1396,1399,1409,1416,1431,1489,1490,1493,1504,
1507,1524,1527,1529,1531,1533,1549,1553,1567,1570,1572,1574,1575,1580,1584,
1587,1605,1612,1613,1619,1621,1623,1652,1666,1668,1676,1678,1683,1684,1698,
1706,1707,1710,1713,1720,1726,1742,1751,1752,1756,1758,1763,1770,1777,1795,
1799,1805,1820,1846,1865,1867,1881,1894,1914,1918,1934,1939,1949,1959,1961,
1962,1966,2006,2011,2034,2066,2075,2082,2087,2118],[1,2,4,5,6,7,8,11,12,13,14,
15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,46,
51,52,53,57,58,65,66,67,68,70,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,
92,93,95,96,98,99,100,102,103,104,108,109,110,113,115,119,120,121,123,125,126,
128,131,132,133,137,138,139,141,142,143,146,148,151,152,153,154,155,156,159,
160,163,164,165,166,168,169,170,171,172,174,175,176,177,181,183,184,187,188,
190,192,193,195,196,197,198,199,200,203,206,207,215,217,220,223,226,228,236,
243,244,260,262,265,267,269,271,272,273,274,276,278,279,280,285,289,290,292,
293,294,295,296,298,300,301,303,304,305,307,308,309,310,319,323,325,327,328,
329,332,333,334,335,340,341,343,345,348,349,351,352,355,357,361,364,365,366,
369,370,372,376,377,378,379,383,386,388,389,390,391,395,396,397,398,399,403,
408,409,411,420,421,422,424,428,430,431,433,434,435,439,442,443,449,452,453,
454,458,463,464,466,468,471,474,478,479,487,488,489,490,491,494,500,502,505,
516,518,519,521,523,525,526,529,530,541,546,548,549,554,557,559,560,564,566,
568,569,570,571,574,576,577,579,582,583,584,585,586,591,595,597,614,615,625,
627,629,646,666,672,673,676,678,679,680,681,686,688,689,690,693,694,695,704,
708,709,710,713,714,719,722,724,728,732,733,739,740,742,744,747,748,751,752,
755,756,763,766,774,782,783,785,789,794,795,798,805,806,809,816,821,822,824,
826,831,833,834,835,837,838,847,859,860,866,867,868,876,881,884,888,901,902,
904,905,906,909,910,916,917,918,920,922,929,930,931,935,936,939,952,956,960,
961,964,976,978,980,990,991,1002,1004,1006,1007,1011,1015,1018,1021,1024,1025,
1027,1030,1041,1046,1048,1050,1054,1057,1064,1068,1070,1079,1083,1090,1104,
1105,1106,1118,1122,1131,1133,1134,1135,1136,1146,1149,1158,1165,1172,1175,
1193,1196,1229,1230,1239,1245,1247,1248,1249,1253,1258,1259,1260,1261,1262,
1265,1278,1280,1282,1284,1287,1288,1295,1296,1299,1300,1303,1308,1310,1312,
1313,1318,1320,1324,1326,1335,1346,1357,1358,1360,1363,1376,1377,1380,1386,
1388,1389,1394,1396,1399,1409,1416,1431,1489,1490,1493,1504,1507,1524,1527,
1529,1531,1533,1549,1553,1567,1570,1572,1574,1575,1580,1584,1587,1602,1604,
1615,1616,1620,1650,1655,1663,1676,1678,1683,1684,1698,1706,1707,1710,1713,
1720,1726,1742,1751,1752,1756,1758,1763,1770,1777,1795,1799,1805,1820,1846,
1864,1868,1884,1888,1909,1928,1934,1939,1949,1959,1961,1962,1966,2004,2005,
2037,2066,2073,2080,2081,2119],[1,2,4,5,6,7,8,11,12,13,15,20,21,22,24,27,28,
29,30,31,32,33,35,36,37,38,41,42,45,46,47,49,51,52,53,57,58,65,66,67,68,70,71,
72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,95,96,98,99,100,101,103,106,108,
109,110,113,114,115,118,119,120,123,125,128,131,132,137,138,141,145,146,147,
148,149,150,151,152,154,159,160,163,164,165,166,167,168,169,170,171,172,173,
174,175,182,183,184,185,186,187,190,191,195,197,199,205,207,211,216,217,221,
223,226,228,243,247,252,260,262,265,272,273,274,276,278,279,280,282,289,290,
293,294,296,298,300,301,303,305,307,310,311,312,313,314,317,323,325,327,328,
329,330,331,332,333,334,335,339,340,343,345,347,348,349,350,351,352,353,354,
357,359,363,365,366,367,369,371,372,373,376,377,378,381,383,385,386,388,391,
392,395,396,397,399,402,403,404,405,408,411,415,416,420,421,422,423,424,428,
430,431,433,435,436,439,440,442,445,452,453,454,455,456,458,463,466,474,478,
479,490,492,494,496,497,498,502,506,510,515,518,521,523,526,529,530,532,533,
535,541,546,549,554,558,559,560,563,565,569,570,572,577,582,584,585,586,588,
590,591,614,615,625,627,629,646,653,672,673,676,679,681,686,688,689,690,693,
694,695,704,705,709,717,719,721,722,724,726,728,729,732,737,739,740,741,742,
744,755,756,758,761,763,764,765,766,768,780,782,783,790,805,806,810,816,821,
824,826,827,831,839,840,843,845,846,849,853,855,859,860,866,867,868,872,876,
878,881,887,888,889,891,897,901,903,904,906,908,909,915,922,925,929,930,935,
936,939,940,945,952,954,960,961,964,967,974,976,977,978,979,980,983,984,988,
989,991,993,994,997,998,1004,1005,1006,1007,1012,1015,1016,1017,1018,1019,
1020,1022,1025,1026,1030,1032,1041,1046,1048,1050,1053,1054,1057,1066,1069,
1070,1077,1079,1083,1089,1095,1102,1106,1114,1122,1124,1134,1146,1149,1170,
1172,1180,1196,1214,1229,1236,1244,1247,1248,1249,1250,1253,1254,1258,1260,
1261,1262,1271,1276,1278,1295,1299,1300,1303,1306,1310,1312,1313,1314,1320,
1323,1326,1332,1338,1339,1341,1343,1348,1354,1358,1361,1369,1374,1376,1377,
1379,1381,1386,1388,1391,1394,1395,1405,1411,1416,1426,1447,1464,1483,1487,
1488,1490,1495,1496,1507,1512,1514,1525,1531,1532,1542,1544,1549,1560,1570,
1571,1576,1577,1583,1584,1586,1587,1602,1604,1615,1616,1620,1655,1657,1676,
1684,1692,1696,1697,1698,1704,1706,1723,1726,1746,1759,1775,1779,1788,1791,
1794,1795,1796,1799,1804,1805,1814,1820,1836,1847,1864,1879,1885,1888,1907,
1909,1938,1946,1950,1955,1963,1966,1968,2004,2005,2016,2056,2079,2080,2088,
2120],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,59,60,62,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
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,
187,188,189,190,191,192,193,194,195,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,227,233,
234,242,245,246,253,254,257,259,260,261,263,264,265,267,268,269,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,300,301,302,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,344,345,346,347,348,349,350,351,
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,
447,448,449,450,451,452,453,455,456,457,458,459,460,461,462,464,465,466,467,
468,469,470,472,473,474,475,476,477,478,479,480,481,482,483,484,486,487,488,
489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,513,514,515,516,517,518,519,520,521,522,523,524,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,568,
569,570,571,572,573,574,576,577,578,579,580,583,584,585,586,587,588,590,592,
593,594,595,596,597,598,599,600,601,611,612,618,620,624,631,632,638,642,645,
648,651,655,656,661,667,672,673,674,677,678,680,681,682,683,684,685,686,687,
688,689,690,691,692,693,694,695,696,697,699,700,701,702,704,705,706,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,721,723,724,725,726,727,728,
729,730,733,734,735,736,737,738,739,740,741,742,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,767,768,769,770,
772,773,774,775,776,777,778,780,781,782,783,784,785,786,787,788,789,790,791,
792,793,795,796,797,798,799,800,801,802,803,804,805,806,807,808,810,811,812,
814,815,816,818,819,820,822,823,824,825,826,827,829,830,831,832,833,834,836,
837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,
856,857,858,859,860,862,863,864,865,866,867,868,869,870,871,872,873,874,875,
877,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,
897,898,899,900,901,902,903,904,906,907,908,909,910,911,912,913,914,915,916,
917,918,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,
938,940,941,942,943,944,946,947,948,949,950,951,952,953,955,956,957,959,960,
962,963,964,965,966,967,968,969,970,971,972,973,974,975,977,978,979,980,981,
982,983,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,
1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1033,1035,1036,1037,1041,1042,1043,1044,1046,1047,1048,1049,1050,1051,1052,
1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1068,1069,
1071,1072,1074,1075,1076,1077,1078,1079,1080,1084,1085,1086,1088,1089,1090,
1091,1092,1093,1094,1096,1097,1098,1099,1100,1101,1102,1103,1105,1106,1107,
1108,1109,1111,1112,1113,1115,1116,1117,1118,1119,1120,1121,1123,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1135,1136,1145,1153,1155,1157,1162,1174,
1178,1190,1195,1205,1220,1223,1225,1230,1232,1233,1236,1237,1238,1242,1244,
1245,1246,1248,1249,1250,1251,1252,1254,1256,1257,1258,1259,1260,1263,1264,
1265,1266,1268,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1283,
1284,1285,1286,1287,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1301,
1302,1303,1304,1305,1306,1307,1308,1309,1311,1317,1318,1319,1320,1321,1322,
1325,1326,1328,1329,1330,1331,1332,1333,1334,1335,1337,1339,1340,1341,1342,
1343,1344,1345,1346,1347,1348,1349,1351,1352,1353,1354,1355,1357,1358,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1381,1383,1384,1385,1386,1387,1389,1390,1391,1393,
1394,1396,1397,1401,1402,1404,1405,1406,1407,1408,1409,1410,1412,1413,1414,
1415,1416,1418,1419,1421,1422,1423,1424,1425,1426,1428,1430,1431,1432,1434,
1435,1436,1437,1438,1441,1442,1443,1444,1445,1446,1449,1450,1451,1452,1453,
1454,1456,1457,1459,1460,1461,1462,1465,1469,1470,1471,1472,1473,1474,1476,
1479,1480,1484,1490,1491,1492,1493,1494,1496,1497,1498,1499,1500,1502,1503,
1505,1506,1509,1511,1512,1513,1514,1516,1517,1519,1521,1522,1523,1526,1527,
1528,1530,1531,1532,1534,1535,1537,1539,1540,1542,1543,1544,1545,1546,1547,
1548,1549,1550,1552,1554,1555,1556,1557,1558,1561,1562,1563,1564,1566,1568,
1573,1574,1577,1578,1579,1580,1581,1582,1583,1584,1585,1587,1588,1589,1601,
1605,1606,1612,1613,1614,1617,1619,1621,1622,1623,1625,1627,1630,1632,1661,
1668,1675,1678,1679,1681,1684,1686,1687,1688,1689,1690,1691,1693,1695,1697,
1703,1704,1705,1708,1709,1710,1712,1713,1714,1717,1722,1724,1725,1730,1732,
1733,1734,1735,1736,1738,1739,1740,1741,1742,1743,1744,1745,1747,1748,1749,
1750,1751,1752,1753,1755,1758,1759,1760,1762,1764,1765,1766,1767,1768,1769,
1772,1773,1776,1777,1778,1779,1780,1781,1782,1783,1784,1786,1787,1788,1791,
1792,1793,1797,1798,1802,1803,1804,1805,1806,1807,1808,1809,1812,1813,1814,
1815,1816,1817,1819,1821,1824,1825,1828,1829,1832,1835,1837,1843,1845,1849,
1865,1881,1891,1898,1901,1903,1905,1908,1911,1912,1918,1919,1922,1927,1937,
1941,1950,1952,1957,1961,1964,1970,1973,1974,1975,1978,1981,1983,1984,1985,
1988,1989,1990,2003,2006,2007,2011,2012,2036,2048,2062,2082,2083,2084,2090,
2092,2121],[1,2,3,4,5,6,7,8,11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,
33,35,36,37,38,41,42,43,44,45,46,48,50,51,54,57,58,65,66,67,68,69,70,71,72,73,
74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,96,98,99,100,103,105,107,108,
109,112,113,115,116,117,120,122,123,124,127,128,129,132,137,138,141,142,144,
146,147,148,150,153,157,158,164,165,166,168,169,170,171,172,174,175,178,183,
184,186,187,188,189,194,195,196,198,199,201,207,208,214,219,223,226,228,244,
247,248,259,260,262,263,265,272,273,274,276,278,279,280,282,288,289,291,293,
294,296,297,298,300,301,302,303,306,307,310,315,320,322,324,325,326,327,328,
329,332,334,335,336,337,340,343,345,346,351,352,355,356,357,361,362,363,369,
371,372,374,377,379,380,383,386,388,390,391,392,394,395,396,397,400,401,403,
406,407,408,410,411,414,415,418,420,421,422,423,424,430,432,433,434,437,439,
442,443,444,447,454,455,456,457,463,465,466,471,474,476,477,493,499,501,511,
513,524,525,526,528,529,530,534,539,541,543,547,548,550,552,560,562,570,577,
579,582,583,584,585,586,591,596,609,614,615,625,627,629,646,665,672,673,674,
676,679,681,684,686,688,689,690,693,694,695,696,709,713,718,719,722,723,724,
727,732,738,739,742,744,745,753,754,755,756,757,759,761,762,763,766,769,772,
773,777,781,783,789,790,791,793,802,809,814,816,818,835,837,842,846,852,854,
859,860,868,873,876,878,882,883,899,900,902,904,905,907,920,921,922,924,928,
932,934,938,939,941,944,945,946,956,963,964,965,966,967,968,971,972,973,976,
980,985,992,996,998,1002,1008,1014,1018,1021,1023,1025,1028,1029,1030,1035,
1041,1057,1058,1059,1069,1070,1081,1083,1094,1095,1104,1105,1111,1122,1134,
1146,1149,1165,1170,1181,1193,1194,1229,1234,1236,1237,1245,1246,1247,1249,
1250,1252,1257,1258,1259,1262,1266,1282,1288,1293,1299,1300,1311,1312,1313,
1323,1324,1325,1327,1329,1332,1335,1337,1338,1340,1342,1343,1346,1353,1359,
1365,1368,1372,1375,1382,1384,1386,1390,1394,1397,1399,1415,1433,1437,1448,
1452,1456,1475,1486,1497,1507,1517,1524,1529,1530,1534,1545,1550,1553,1555,
1561,1570,1600,1602,1604,1615,1616,1620,1655,1656,1674,1676,1683,1694,1696,
1697,1698,1700,1703,1710,1711,1716,1721,1743,1745,1747,1756,1757,1765,1769,
1770,1774,1784,1800,1813,1864,1879,1883,1884,1904,1928,1938,1939,1942,1945,
1956,1958,1964,2002,2004,2005,2024,2058,2079,2081,2086,2122],[1,2,4,5,6,8,11,
12,13,14,15,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,
58,65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,102,104,111,120,121,123,126,128,130,132,133,136,137,138,
139,140,141,143,146,147,148,150,155,156,161,162,165,168,171,175,176,177,184,
186,187,192,202,203,204,209,218,226,228,235,236,247,260,261,262,264,265,266,
267,268,269,270,271,273,274,275,276,277,279,280,282,285,287,289,292,295,296,
299,300,301,303,304,307,308,309,310,316,318,319,321,325,328,329,332,334,335,
338,341,343,352,360,363,364,368,369,370,371,377,384,387,388,389,392,395,397,
398,403,408,409,411,412,413,415,420,421,422,423,424,426,430,439,442,448,450,
455,456,461,462,470,472,473,481,482,485,487,489,491,504,508,512,553,561,570,
577,578,580,584,585,593,597,615,625,627,647,672,673,675,676,678,679,680,681,
683,685,687,688,689,691,692,693,694,695,698,700,702,703,706,708,710,712,714,
715,716,722,730,731,732,733,734,736,742,743,744,747,748,749,750,751,752,755,
756,761,763,766,771,774,775,776,779,785,786,790,794,795,797,812,813,816,817,
819,822,823,825,828,834,836,846,851,857,861,862,863,868,870,874,876,878,879,
885,886,911,913,919,922,927,931,945,953,955,958,962,967,976,980,986,990,998,
1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,1076,1092,1095,1103,1132,
1146,1149,1152,1158,1170,1175,1229,1230,1231,1232,1233,1235,1236,1239,1240,
1241,1243,1247,1250,1251,1255,1256,1258,1263,1264,1265,1275,1281,1283,1284,
1296,1298,1299,1300,1304,1308,1313,1315,1316,1321,1323,1330,1332,1336,1338,
1343,1345,1350,1355,1356,1362,1366,1371,1385,1392,1394,1396,1398,1400,1402,
1403,1420,1425,1428,1450,1466,1468,1492,1510,1516,1518,1519,1536,1539,1541,
1562,1565,1604,1616,1620,1637,1676,1678,1679,1682,1685,1690,1695,1696,1697,
1705,1707,1708,1715,1718,1724,1725,1731,1738,1754,1792,1801,1826,1864,1868,
1871,1879,1895,1934,1935,1938,1951,1952,1953,1954,2005,2028,2053,2073,2074,
2079,2123],[1,2,4,5,6,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,31,
32,33,34,35,36,37,39,40,41,42,45,51,55,56,59,65,66,67,68,71,72,73,75,76,77,79,
80,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100,102,103,104,111,120,
121,123,126,128,130,132,133,136,137,138,139,140,141,143,146,147,148,150,155,
156,161,162,164,165,168,169,171,175,176,177,184,186,187,190,192,194,196,199,
202,203,204,209,218,227,233,234,246,249,251,253,260,261,263,264,265,267,268,
269,271,273,274,275,276,277,279,280,282,285,287,289,291,292,293,294,295,296,
298,299,300,301,304,307,308,309,310,316,318,319,321,325,328,329,332,334,335,
337,338,341,349,352,357,360,363,364,365,366,368,369,370,371,374,377,380,384,
386,387,388,389,392,395,397,398,399,400,403,408,409,411,412,413,415,420,421,
422,423,424,426,430,432,433,439,442,448,450,454,455,456,461,462,463,470,471,
472,473,481,482,487,489,491,504,508,525,548,553,561,570,577,578,580,582,584,
585,591,593,597,611,612,618,620,624,632,638,645,658,672,673,678,680,681,683,
685,687,688,689,690,691,692,693,694,695,696,700,702,706,708,710,712,714,715,
716,728,730,733,734,736,742,744,747,748,749,750,751,752,754,755,756,761,763,
774,775,776,781,782,783,785,786,790,795,797,809,812,816,819,821,822,823,825,
834,835,836,846,851,857,862,863,868,870,874,879,885,886,900,905,906,911,913,
920,922,927,931,932,939,946,953,954,955,961,962,963,967,980,984,986,990,998,
1001,1002,1004,1010,1025,1030,1033,1036,1050,1057,1066,1069,1070,1076,1081,
1092,1103,1104,1132,1145,1153,1155,1157,1166,1178,1182,1199,1205,1230,1232,
1233,1234,1236,1250,1251,1253,1256,1257,1258,1260,1261,1262,1263,1264,1265,
1275,1282,1283,1284,1288,1292,1296,1298,1304,1308,1310,1312,1314,1321,1324,
1326,1327,1330,1332,1343,1345,1352,1355,1359,1362,1365,1366,1371,1382,1385,
1388,1394,1395,1396,1402,1425,1428,1429,1450,1455,1458,1489,1492,1504,1516,
1519,1526,1533,1538,1539,1562,1567,1601,1605,1606,1612,1614,1623,1625,1629,
1630,1678,1679,1683,1690,1692,1693,1695,1697,1705,1706,1708,1711,1719,1720,
1721,1724,1725,1727,1728,1729,1738,1763,1792,1799,1811,1865,1887,1894,1898,
1911,1914,1936,1948,1952,1956,1960,1962,1968,2003,2006,2007,2033,2060,2084,
2085,2087,2124],[1,2,4,5,6,7,9,11,12,13,15,19,20,21,22,24,27,28,29,30,31,32,
34,35,36,37,38,41,42,43,44,46,47,49,51,56,60,65,66,67,68,70,71,72,73,75,76,77,
78,79,80,81,82,83,85,86,87,88,89,90,91,94,95,96,97,98,99,100,101,103,106,108,
109,111,113,114,115,118,120,123,128,130,132,137,138,140,141,142,145,146,148,
149,153,161,162,164,165,166,167,168,169,170,171,172,173,174,175,182,183,184,
185,187,188,191,195,196,198,199,205,207,211,213,222,223,225,227,232,233,237,
242,251,260,261,262,264,265,266,268,270,272,273,274,275,276,277,278,279,280,
287,289,293,294,296,298,299,300,301,303,307,310,311,312,313,314,316,317,318,
321,325,327,328,329,330,331,332,334,335,338,339,340,343,345,347,350,351,352,
353,354,355,357,359,360,361,367,368,369,372,373,377,379,381,383,384,385,386,
387,388,390,391,395,396,397,402,403,404,405,408,411,412,413,416,420,421,422,
424,426,430,433,434,436,439,440,442,443,445,448,450,454,463,466,469,470,471,
474,482,484,485,495,503,507,512,520,525,526,529,530,532,535,541,544,545,548,
558,560,563,565,567,570,572,575,577,579,581,582,583,584,585,586,588,589,590,
591,613,617,618,624,628,631,632,636,637,643,644,664,667,672,673,675,676,679,
681,683,685,686,687,688,689,690,691,692,693,694,695,698,700,703,705,706,709,
712,713,715,716,717,719,721,722,724,726,729,730,731,732,734,736,737,739,741,
742,743,744,749,750,755,756,758,763,764,765,766,768,771,775,776,779,780,783,
786,789,800,803,809,810,813,816,817,819,828,829,835,836,837,840,843,848,857,
859,860,861,862,863,864,868,870,872,874,876,879,880,885,886,887,889,893,897,
902,903,904,905,908,919,920,922,925,939,942,954,956,957,958,962,964,970,976,
977,979,980,982,984,988,993,994,995,997,1001,1002,1005,1010,1012,1016,1017,
1018,1019,1020,1021,1022,1025,1026,1030,1038,1039,1041,1045,1049,1053,1057,
1061,1065,1066,1067,1070,1073,1082,1083,1087,1091,1104,1105,1110,1114,1122,
1124,1134,1137,1145,1151,1161,1162,1167,1173,1177,1182,1183,1185,1186,1189,
1195,1197,1199,1209,1218,1229,1231,1232,1233,1235,1240,1241,1243,1244,1245,
1247,1249,1251,1254,1255,1256,1258,1259,1262,1263,1264,1272,1274,1275,1279,
1281,1282,1288,1291,1299,1300,1306,1307,1312,1313,1314,1315,1316,1321,1324,
1333,1335,1336,1344,1345,1346,1350,1354,1356,1361,1369,1370,1371,1386,1391,
1392,1394,1395,1398,1399,1403,1411,1417,1425,1426,1427,1429,1432,1439,1445,
1455,1457,1458,1461,1463,1467,1468,1477,1478,1481,1482,1483,1485,1488,1495,
1496,1501,1507,1508,1511,1512,1514,1515,1516,1518,1519,1520,1523,1524,1529,
1536,1538,1551,1553,1556,1559,1560,1566,1570,1571,1603,1605,1607,1619,1645,
1648,1652,1664,1666,1676,1682,1683,1685,1688,1689,1691,1692,1698,1704,1708,
1709,1710,1718,1723,1729,1734,1737,1756,1761,1770,1771,1783,1789,1794,1796,
1801,1807,1810,1811,1816,1818,1827,1830,1831,1834,1836,1839,1842,1844,1851,
1852,1867,1872,1875,1877,1880,1881,1890,1892,1893,1894,1906,1924,1935,1939,
1940,1948,1955,1957,1967,1972,1976,1979,1980,2031,2032,2034,2046,2049,2063,
2076,2125],[1,2,4,5,6,7,9,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,
30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,51,52,53,56,59,60,65,66,67,68,71,
72,73,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,
100,102,104,108,109,110,113,115,119,120,121,123,125,126,128,130,131,132,133,
137,138,139,140,141,142,143,146,147,148,151,152,153,154,155,156,159,160,161,
162,163,165,168,169,170,171,172,175,176,177,181,183,184,186,187,188,190,192,
193,197,198,199,200,202,203,206,207,208,209,215,217,218,220,223,227,233,234,
242,249,250,253,260,263,264,265,266,267,269,270,271,272,273,274,275,276,278,
279,280,285,287,289,290,291,292,295,299,300,301,303,304,305,307,308,309,310,
316,318,319,321,323,325,327,328,329,332,333,334,335,337,338,340,341,348,349,
352,355,357,360,361,364,365,366,368,369,370,371,372,376,377,378,379,384,386,
387,388,389,390,391,392,394,395,397,398,399,403,407,408,409,410,411,412,420,
421,422,423,424,428,430,431,433,434,435,437,439,442,443,448,449,452,453,454,
455,456,458,461,463,464,466,468,472,473,474,478,479,481,482,485,487,488,489,
490,491,494,500,502,505,512,516,518,519,521,523,526,541,546,549,554,557,559,
560,561,564,566,568,569,570,571,574,576,577,578,579,580,583,584,585,586,593,
595,597,612,618,624,631,632,638,645,655,660,661,667,672,673,675,678,680,685,
686,687,688,689,693,694,695,696,703,704,706,708,710,713,714,715,728,730,731,
733,734,736,738,740,742,743,747,748,749,750,751,752,755,762,766,771,772,773,
774,776,779,782,783,785,789,790,795,797,798,805,806,812,813,816,817,819,821,
822,824,826,828,831,833,834,836,837,838,847,857,859,860,861,862,863,866,867,
868,874,876,878,879,881,884,888,901,902,909,910,916,917,918,919,922,927,928,
929,930,931,932,935,936,939,945,946,952,954,956,964,965,976,978,980,984,986,
990,991,992,998,1006,1007,1010,1011,1018,1021,1024,1025,1027,1033,1034,1036,
1040,1041,1046,1048,1050,1054,1057,1064,1066,1068,1079,1081,1090,1092,1095,
1103,1105,1106,1118,1131,1132,1133,1135,1136,1145,1153,1155,1157,1162,1166,
1187,1195,1204,1230,1234,1235,1245,1248,1250,1255,1256,1258,1259,1260,1261,
1262,1265,1266,1275,1278,1280,1284,1287,1296,1299,1303,1308,1314,1316,1318,
1320,1323,1330,1335,1336,1338,1346,1350,1355,1356,1357,1358,1359,1360,1363,
1365,1376,1377,1380,1382,1386,1388,1389,1395,1396,1397,1398,1400,1409,1412,
1419,1420,1427,1431,1440,1460,1466,1468,1477,1478,1493,1501,1510,1519,1527,
1539,1541,1562,1564,1565,1569,1574,1576,1580,1584,1586,1587,1605,1606,1612,
1613,1614,1619,1621,1623,1630,1660,1668,1678,1684,1685,1692,1696,1702,1705,
1710,1711,1713,1715,1716,1726,1728,1731,1737,1739,1742,1751,1752,1754,1758,
1777,1785,1810,1826,1847,1865,1881,1882,1887,1902,1918,1936,1945,1946,1953,
1961,1965,1967,2006,2007,2011,2039,2059,2082,2085,2089,2126],[1,2,3,4,5,6,7,9,
11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,
39,40,41,42,45,46,47,48,49,50,51,56,59,62,65,66,67,68,69,71,72,73,74,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100,101,102,103,
104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,122,123,124,126,
127,128,129,130,132,133,134,135,137,138,139,140,141,143,144,145,146,147,148,
149,155,156,157,158,161,162,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,182,184,185,186,187,189,191,192,194,195,196,199,201,202,203,205,
208,209,210,211,212,217,218,227,233,234,245,250,251,253,259,260,263,264,265,
266,267,269,270,271,272,273,274,275,276,278,279,280,285,287,288,289,291,292,
293,294,295,297,298,299,300,301,302,303,304,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,324,325,326,327,328,329,330,331,332,334,
335,336,337,338,339,340,341,345,346,347,350,351,352,353,354,356,357,359,360,
362,364,367,368,369,370,371,372,373,374,377,380,381,383,384,385,386,387,388,
389,391,392,394,395,396,397,398,400,401,402,403,404,405,406,407,408,409,410,
411,412,414,416,418,420,421,422,423,424,430,432,433,436,437,439,440,442,444,
445,448,452,453,455,456,457,459,460,461,467,471,472,473,477,479,481,482,485,
486,487,489,491,499,511,512,513,514,517,518,524,525,528,529,530,532,535,539,
540,542,543,548,550,558,561,562,563,565,567,570,572,573,575,577,578,580,581,
582,584,585,587,588,589,590,591,592,593,594,596,597,612,618,624,632,638,642,
645,649,651,656,672,673,674,675,677,678,680,682,684,685,686,687,688,689,690,
693,694,695,696,701,703,705,706,707,708,709,710,711,714,715,717,718,719,720,
721,723,724,725,726,727,729,730,731,733,734,735,736,737,738,739,741,742,743,
745,746,747,748,749,750,751,752,753,754,755,757,758,759,760,762,764,765,766,
767,768,769,770,771,772,773,774,776,777,778,779,780,781,783,784,785,787,788,
790,791,792,793,795,797,799,801,802,804,805,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,822,828,830,831,832,834,835,836,840,841,843,844,
850,854,857,858,861,862,863,868,869,872,873,874,876,878,879,881,887,889,890,
892,895,896,897,899,900,903,904,905,906,908,914,919,920,922,925,926,927,931,
933,934,937,938,941,943,944,945,951,960,961,963,965,966,968,969,972,973,975,
976,977,979,980,981,985,986,987,988,990,991,993,994,996,997,998,999,1000,1002,
1003,1004,1005,1008,1009,1010,1012,1013,1014,1015,1016,1017,1019,1020,1022,
1023,1025,1026,1028,1029,1031,1033,1034,1036,1038,1039,1040,1045,1051,1053,
1056,1057,1067,1070,1073,1074,1079,1081,1082,1087,1092,1095,1103,1104,1110,
1111,1117,1132,1137,1145,1153,1155,1157,1174,1182,1187,1199,1204,1230,1235,
1237,1238,1242,1244,1246,1249,1250,1252,1253,1254,1255,1256,1257,1258,1261,
1265,1266,1267,1269,1273,1275,1277,1282,1284,1285,1286,1288,1289,1290,1293,
1295,1296,1297,1299,1301,1302,1303,1305,1306,1308,1309,1310,1311,1312,1316,
1317,1319,1323,1324,1326,1327,1328,1329,1330,1331,1334,1336,1337,1338,1347,
1349,1350,1351,1353,1354,1355,1356,1361,1369,1373,1382,1383,1387,1391,1396,
1398,1400,1404,1410,1414,1417,1420,1426,1433,1434,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1447,1448,1451,1452,1453,1454,1456,1462,1463,1464,1465,
1466,1467,1468,1469,1470,1472,1473,1475,1476,1481,1482,1484,1485,1486,1487,
1489,1491,1496,1497,1498,1502,1503,1504,1508,1509,1510,1512,1513,1514,1515,
1519,1520,1522,1525,1533,1539,1541,1547,1551,1552,1559,1562,1565,1567,1569,
1605,1606,1612,1614,1617,1622,1623,1627,1630,1631,1661,1677,1678,1681,1683,
1685,1696,1699,1701,1702,1703,1704,1705,1706,1715,1719,1720,1730,1731,1733,
1746,1748,1754,1755,1757,1761,1763,1771,1772,1774,1775,1787,1789,1795,1798,
1800,1803,1818,1822,1823,1826,1833,1838,1839,1840,1841,1843,1848,1850,1865,
1882,1891,1894,1902,1905,1914,1919,1937,1940,1944,1953,1958,1962,1963,1969,
1971,1977,1987,2006,2007,2012,2035,2045,2065,2083,2087,2089,2127],[1,2,3,4,5,
6,7,9,11,12,13,15,16,17,19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,
46,48,50,51,52,53,56,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,94,95,96,97,98,99,100,103,105,107,108,109,110,111,
112,113,115,116,117,119,120,122,123,124,125,127,128,129,130,131,132,137,138,
140,141,144,146,148,151,152,154,157,158,159,160,161,162,163,164,165,166,168,
169,170,171,172,174,175,178,179,180,183,184,187,189,190,194,195,197,199,201,
207,208,217,223,225,227,232,233,237,245,249,259,260,261,262,263,264,265,266,
268,270,272,273,274,275,276,277,278,279,280,281,283,284,286,287,288,289,290,
291,293,294,296,297,298,299,300,301,302,303,305,306,307,310,315,316,318,320,
321,322,323,324,325,326,327,328,329,332,333,334,335,336,337,338,340,342,343,
344,345,346,348,349,351,352,356,357,358,360,362,365,366,368,369,372,374,375,
376,377,378,380,382,383,384,386,387,388,391,393,394,395,396,397,399,400,401,
403,406,407,408,410,411,412,413,414,417,418,419,420,421,422,424,425,426,427,
428,429,430,431,432,433,435,437,438,439,441,442,444,446,448,450,451,452,453,
454,457,458,463,466,470,474,475,477,478,479,480,482,483,485,490,494,499,502,
509,511,512,513,518,521,522,523,524,526,527,528,529,530,531,536,537,538,539,
541,543,546,549,550,551,554,555,556,559,560,562,569,570,577,582,584,585,586,
591,596,613,617,618,624,628,632,633,637,640,642,643,650,672,673,674,675,676,
679,681,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,703,704,706,709,712,715,716,718,719,722,723,724,727,728,730,731,732,734,
736,738,739,740,742,743,744,745,749,750,753,754,755,756,757,759,762,763,766,
769,771,772,773,775,776,777,779,781,782,783,786,791,793,796,802,805,806,813,
814,816,817,818,819,821,824,826,828,831,836,854,856,857,859,860,861,862,863,
865,866,867,868,870,871,873,874,875,876,877,879,881,885,886,888,894,898,899,
900,901,904,906,909,912,919,922,923,928,929,930,932,934,935,936,938,939,941,
944,946,947,948,949,950,952,958,959,960,961,962,963,964,965,966,968,972,973,
976,978,980,985,991,992,996,1001,1004,1006,1007,1008,1010,1014,1015,1018,1023,
1025,1028,1029,1030,1041,1046,1047,1048,1050,1054,1057,1062,1070,1075,1079,
1081,1083,1086,1088,1100,1106,1107,1111,1120,1121,1122,1126,1130,1134,1145,
1151,1161,1164,1166,1173,1174,1176,1179,1183,1184,1189,1209,1211,1212,1229,
1231,1232,1233,1234,1235,1237,1240,1241,1243,1246,1247,1248,1249,1251,1252,
1253,1255,1256,1257,1258,1260,1261,1262,1263,1264,1266,1267,1268,1269,1270,
1275,1278,1281,1292,1293,1294,1295,1299,1300,1303,1310,1311,1312,1313,1315,
1316,1320,1321,1322,1326,1327,1329,1336,1337,1345,1350,1352,1353,1356,1358,
1359,1364,1365,1367,1371,1376,1377,1378,1382,1386,1388,1392,1393,1394,1397,
1398,1403,1412,1415,1416,1419,1425,1434,1437,1440,1451,1452,1456,1460,1462,
1468,1473,1480,1490,1497,1507,1516,1517,1518,1519,1526,1530,1531,1536,1537,
1545,1549,1554,1558,1563,1564,1569,1570,1584,1587,1603,1605,1607,1617,1635,
1640,1641,1667,1674,1675,1676,1677,1680,1682,1684,1685,1686,1687,1693,1694,
1698,1699,1700,1701,1702,1703,1706,1708,1711,1712,1716,1718,1719,1721,1726,
1727,1728,1739,1767,1774,1778,1784,1785,1790,1795,1798,1799,1801,1805,1817,
1820,1828,1849,1867,1872,1876,1877,1878,1887,1891,1893,1896,1899,1906,1924,
1935,1941,1942,1944,1960,1965,1966,1982,1986,2015,2017,2030,2043,2055,2076,
2128],[1,2,4,5,6,7,8,11,12,13,15,19,20,21,22,24,27,28,29,30,31,32,34,35,36,37,
38,41,42,43,44,46,47,49,51,57,58,65,66,67,68,70,71,72,73,75,76,77,78,79,80,81,
82,83,85,86,87,88,89,90,91,94,95,96,97,98,99,100,101,103,106,108,109,111,113,
114,115,118,120,123,128,130,132,137,138,140,141,142,145,146,148,149,153,161,
162,164,165,166,167,168,169,170,171,172,173,174,175,182,183,184,185,187,188,
191,195,196,198,199,205,207,211,213,222,223,226,228,235,244,252,260,261,262,
264,265,266,268,270,272,273,274,275,276,277,278,279,280,287,289,293,294,296,
298,299,300,301,303,307,310,311,312,313,314,316,317,318,321,325,327,328,329,
330,331,332,334,335,338,339,340,343,345,347,350,351,352,353,354,355,357,359,
360,361,367,368,369,372,373,377,379,381,383,384,385,386,387,388,390,391,395,
396,397,402,403,404,405,408,411,412,413,416,420,421,422,424,426,430,433,434,
436,439,440,442,443,445,448,450,454,463,466,469,470,471,474,482,484,485,495,
503,507,512,520,525,526,529,530,532,535,541,544,545,548,558,560,563,565,567,
570,572,575,577,579,581,582,583,584,585,586,588,589,590,591,614,615,625,627,
629,646,663,672,673,675,676,679,681,683,685,686,687,688,689,690,691,692,693,
694,695,698,700,703,705,706,709,712,713,715,716,717,719,721,722,724,726,729,
730,731,732,734,736,737,739,741,742,743,744,749,750,755,756,758,763,764,765,
766,768,771,775,776,779,780,783,786,789,800,803,809,810,813,816,817,819,828,
829,835,836,837,840,843,848,857,859,860,861,862,863,864,868,870,872,874,876,
879,880,885,886,887,889,893,897,902,903,904,905,908,919,920,922,925,939,942,
954,956,957,958,962,964,970,976,977,979,980,982,984,988,993,994,995,997,1001,
1002,1005,1010,1012,1016,1017,1018,1019,1020,1021,1022,1025,1026,1030,1038,
1039,1041,1045,1049,1053,1057,1061,1065,1066,1067,1070,1073,1082,1083,1087,
1091,1104,1105,1110,1114,1122,1124,1134,1137,1146,1149,1152,1165,1180,1193,
1214,1229,1231,1232,1233,1235,1240,1241,1243,1244,1245,1247,1249,1251,1254,
1255,1256,1258,1259,1262,1263,1264,1272,1274,1275,1279,1281,1282,1288,1291,
1299,1300,1306,1307,1312,1313,1314,1315,1316,1321,1324,1333,1335,1336,1344,
1345,1346,1350,1354,1356,1361,1369,1370,1371,1386,1391,1392,1394,1395,1398,
1399,1403,1411,1417,1425,1426,1427,1429,1432,1439,1445,1455,1457,1458,1461,
1463,1467,1468,1477,1478,1481,1482,1483,1485,1488,1495,1496,1501,1507,1508,
1511,1512,1514,1515,1516,1518,1519,1520,1523,1524,1529,1536,1538,1551,1553,
1556,1559,1560,1566,1570,1571,1602,1604,1615,1616,1620,1655,1659,1676,1682,
1683,1685,1688,1689,1691,1692,1698,1704,1708,1709,1710,1718,1723,1729,1734,
1737,1756,1761,1770,1771,1783,1789,1794,1796,1801,1807,1810,1811,1816,1818,
1827,1830,1831,1834,1836,1839,1842,1844,1851,1852,1864,1871,1884,1885,1895,
1907,1928,1935,1939,1940,1948,1955,1957,1967,1972,1976,1979,1980,2004,2005,
2026,2050,2063,2074,2081,2088,2129],[1,2,4,5,6,7,10,11,12,13,15,19,20,21,22,
24,27,28,29,30,31,32,34,35,36,37,38,41,42,43,44,46,47,49,51,61,63,65,66,67,68,
70,71,72,73,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,94,95,96,97,98,99,
100,101,103,106,108,109,111,113,114,115,118,120,123,128,130,132,137,138,140,
141,142,145,146,148,149,153,161,162,164,165,166,167,168,169,170,171,172,173,
174,175,182,183,184,185,187,188,191,195,196,198,199,205,207,211,213,222,223,
229,231,238,240,241,255,256,260,261,262,264,265,266,268,270,272,273,274,275,
276,277,278,279,280,287,289,293,294,296,298,299,300,301,303,307,310,311,312,
313,314,316,317,318,321,325,327,328,329,330,331,332,334,335,338,339,340,343,
345,347,350,351,352,353,354,355,357,359,360,361,367,368,369,372,373,377,379,
381,383,384,385,386,387,388,390,391,395,396,397,402,403,404,405,408,411,412,
413,416,420,421,422,424,426,430,433,434,436,439,440,442,443,445,448,450,454,
463,466,469,470,471,474,482,484,485,495,503,507,512,520,525,526,529,530,532,
535,541,544,545,548,558,560,563,565,567,570,572,575,577,579,581,582,583,584,
585,586,588,589,590,591,626,634,641,654,657,668,669,670,671,672,673,675,676,
679,681,683,685,686,687,688,689,690,691,692,693,694,695,698,700,703,705,706,
709,712,713,715,716,717,719,721,722,724,726,729,730,731,732,734,736,737,739,
741,742,743,744,749,750,755,756,758,763,764,765,766,768,771,775,776,779,780,
783,786,789,800,803,809,810,813,816,817,819,828,829,835,836,837,840,843,848,
857,859,860,861,862,863,864,868,870,872,874,876,879,880,885,886,887,889,893,
897,902,903,904,905,908,919,920,922,925,939,942,954,956,957,958,962,964,970,
976,977,979,980,982,984,988,993,994,995,997,1001,1002,1005,1010,1012,1016,
1017,1018,1019,1020,1021,1022,1025,1026,1030,1038,1039,1041,1045,1049,1053,
1057,1061,1065,1066,1067,1070,1073,1082,1083,1087,1091,1104,1105,1110,1114,
1122,1124,1134,1137,1148,1150,1154,1159,1160,1192,1200,1203,1207,1208,1215,
1221,1229,1231,1232,1233,1235,1240,1241,1243,1244,1245,1247,1249,1251,1254,
1255,1256,1258,1259,1262,1263,1264,1272,1274,1275,1279,1281,1282,1288,1291,
1299,1300,1306,1307,1312,1313,1314,1315,1316,1321,1324,1333,1335,1336,1344,
1345,1346,1350,1354,1356,1361,1369,1370,1371,1386,1391,1392,1394,1395,1398,
1399,1403,1411,1417,1425,1426,1427,1429,1432,1439,1445,1455,1457,1458,1461,
1463,1467,1468,1477,1478,1481,1482,1483,1485,1488,1495,1496,1501,1507,1508,
1511,1512,1514,1515,1516,1518,1519,1520,1523,1524,1529,1536,1538,1551,1553,
1556,1559,1560,1566,1570,1571,1610,1611,1626,1639,1643,1653,1654,1662,1669,
1671,1676,1682,1683,1685,1688,1689,1691,1692,1698,1704,1708,1709,1710,1718,
1723,1729,1734,1737,1756,1761,1770,1771,1783,1789,1794,1796,1801,1807,1810,
1811,1816,1818,1827,1830,1831,1834,1836,1839,1842,1844,1851,1852,1866,1870,
1873,1910,1913,1915,1917,1921,1923,1929,1935,1939,1940,1948,1955,1957,1967,
1972,1976,1979,1980,2010,2020,2041,2044,2047,2063,2078,2091,2093,2130],[1,2,4,
5,6,7,10,11,12,13,14,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,
39,40,41,42,43,44,46,51,52,53,61,63,65,66,67,68,70,71,72,73,77,78,79,80,81,82,
83,85,86,87,88,89,90,92,93,95,96,98,99,100,102,103,104,108,109,110,113,115,
119,120,121,123,125,126,128,131,132,133,137,138,139,141,142,143,146,148,151,
152,153,154,155,156,159,160,163,164,165,166,168,169,170,171,172,174,175,176,
177,181,183,184,187,188,190,192,193,195,196,197,198,199,200,203,206,207,215,
217,220,223,229,230,231,238,239,241,255,256,260,262,265,267,269,271,272,273,
274,276,278,279,280,285,289,290,292,293,294,295,296,298,300,301,303,304,305,
307,308,309,310,319,323,325,327,328,329,332,333,334,335,340,341,343,345,348,
349,351,352,355,357,361,364,365,366,369,370,372,376,377,378,379,383,386,388,
389,390,391,395,396,397,398,399,403,408,409,411,420,421,422,424,428,430,431,
433,434,435,439,442,443,449,452,453,454,458,463,464,466,468,471,474,478,479,
487,488,489,490,491,494,500,502,505,516,518,519,521,523,525,526,529,530,541,
546,548,549,554,557,559,560,564,566,568,569,570,571,574,576,577,579,582,583,
584,585,586,591,595,597,626,630,634,639,641,652,654,657,659,662,668,669,670,
672,673,676,678,679,680,681,686,688,689,690,693,694,695,704,708,709,710,713,
714,719,722,724,728,732,733,739,740,742,744,747,748,751,752,755,756,763,766,
774,782,783,785,789,794,795,798,805,806,809,816,821,822,824,826,831,833,834,
835,837,838,847,859,860,866,867,868,876,881,884,888,901,902,904,905,906,909,
910,916,917,918,920,922,929,930,931,935,936,939,952,956,960,961,964,976,978,
980,990,991,1002,1004,1006,1007,1011,1015,1018,1021,1024,1025,1027,1030,1041,
1046,1048,1050,1054,1057,1064,1068,1070,1079,1083,1090,1104,1105,1106,1118,
1122,1131,1133,1134,1135,1136,1147,1150,1156,1159,1160,1192,1198,1200,1202,
1203,1206,1207,1208,1215,1216,1217,1221,1229,1230,1239,1245,1247,1248,1249,
1253,1258,1259,1260,1261,1262,1265,1278,1280,1282,1284,1287,1288,1295,1296,
1299,1300,1303,1308,1310,1312,1313,1318,1320,1324,1326,1335,1346,1357,1358,
1360,1363,1376,1377,1380,1386,1388,1389,1394,1396,1399,1409,1416,1431,1489,
1490,1493,1504,1507,1524,1527,1529,1531,1533,1549,1553,1567,1570,1572,1574,
1575,1580,1584,1587,1618,1624,1626,1643,1646,1662,1665,1669,1670,1671,1676,
1678,1683,1684,1698,1706,1707,1710,1713,1720,1726,1742,1751,1752,1756,1758,
1763,1770,1777,1795,1799,1805,1820,1846,1869,1873,1900,1916,1917,1920,1923,
1925,1926,1934,1939,1949,1959,1961,1962,1966,2040,2041,2042,2066,2077,2131],[
1,2,4,5,6,8,9,10,11,12,13,14,15,18,20,21,22,23,24,25,26,27,29,31,32,35,37,39,
40,41,42,56,58,61,65,66,67,68,70,71,72,73,77,79,80,82,83,85,86,87,88,89,90,92,
93,95,96,98,99,100,102,104,120,121,123,126,128,132,133,137,138,139,141,143,
146,148,155,156,165,168,171,175,176,177,184,187,192,203,224,226,227,228,229,
230,231,233,234,236,237,238,239,241,253,260,262,265,267,269,271,273,274,276,
279,280,285,289,292,295,296,300,301,303,304,307,308,309,310,319,325,328,329,
332,334,335,341,343,352,364,369,370,377,388,389,395,397,398,403,408,409,411,
420,421,422,424,430,439,442,487,489,491,570,577,584,585,597,615,618,624,625,
626,627,630,632,634,639,641,657,662,672,673,676,678,679,680,681,688,689,693,
694,695,708,710,714,722,732,733,742,744,747,748,751,752,755,756,763,766,774,
785,794,795,816,822,834,868,876,922,931,976,980,990,1025,1030,1057,1138,1140,
1141,1145,1146,1147,1149,1150,1153,1155,1156,1157,1158,1159,1160,1161,1173,
1175,1200,1202,1229,1230,1239,1247,1258,1265,1284,1296,1299,1300,1308,1313,
1394,1396,1604,1605,1612,1616,1618,1620,1623,1624,1626,1676,1678,1707,1854,
1855,1856,1864,1865,1867,1868,1869,1873,1925,1934,2005,2006,2068,2069,2073,
2075,2077,2132],[1,2,4,5,6,8,9,10,11,12,13,15,19,20,21,22,24,27,29,31,32,34,
35,37,41,42,56,58,61,65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,
89,90,91,94,95,96,97,98,99,100,111,120,123,128,130,132,137,138,140,141,146,
148,161,162,165,168,171,175,184,187,224,225,226,227,228,229,231,232,233,235,
237,238,240,241,260,261,262,264,265,266,268,270,273,274,275,276,277,279,280,
287,289,296,299,300,301,303,307,310,316,318,321,325,328,329,332,334,335,338,
343,352,360,368,369,377,384,387,388,395,397,403,408,411,412,413,420,421,422,
424,426,430,439,442,448,450,470,482,485,512,570,577,584,585,613,615,617,618,
624,625,626,627,628,632,634,637,641,643,657,672,673,675,676,679,681,683,685,
687,688,689,691,692,693,694,695,698,700,703,706,712,715,716,722,730,731,732,
734,736,742,743,744,749,750,755,756,763,766,771,775,776,779,786,813,816,817,
819,828,836,857,861,862,863,868,870,874,876,879,885,886,919,922,958,962,976,
980,1001,1010,1025,1030,1057,1139,1140,1141,1145,1146,1148,1149,1150,1151,
1152,1154,1159,1160,1161,1173,1183,1189,1200,1209,1229,1231,1232,1233,1235,
1240,1241,1243,1247,1251,1255,1256,1258,1263,1264,1275,1281,1299,1300,1313,
1315,1316,1321,1336,1345,1350,1356,1371,1392,1394,1398,1403,1425,1468,1516,
1518,1519,1536,1603,1604,1605,1607,1610,1611,1616,1620,1626,1639,1676,1682,
1685,1708,1718,1801,1853,1854,1855,1864,1866,1867,1870,1871,1872,1873,1877,
1893,1895,1906,1921,1924,1935,2005,2010,2069,2070,2074,2076,2078,2133],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,33,35,
36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,66,
67,69,72,73,74,75,77,78,79,81,84,85,86,88,92,93,95,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,121,122,124,125,126,
127,128,129,131,132,133,134,135,136,139,141,142,143,144,149,150,151,152,153,
154,155,156,157,158,159,160,162,163,165,166,169,171,172,173,174,175,176,177,
178,179,181,182,183,188,189,190,191,192,193,194,197,198,200,201,203,204,205,
206,207,208,210,211,212,214,215,217,220,221,222,224,226,227,228,229,230,233,
234,235,236,239,241,243,244,247,248,252,253,254,255,256,260,261,267,269,271,
274,277,280,281,282,284,285,289,291,292,293,295,306,312,314,315,318,320,322,
323,328,330,331,333,336,338,340,341,345,348,349,353,354,355,356,359,361,362,
363,364,369,370,373,376,377,378,379,382,385,389,390,391,393,394,396,399,400,
401,402,404,405,406,407,413,415,418,419,426,428,429,431,432,433,434,436,440,
441,443,444,446,449,451,457,459,460,462,464,467,468,469,474,475,479,480,483,
484,486,487,488,489,490,491,493,496,498,499,500,501,502,504,505,507,508,509,
510,511,514,516,517,518,519,522,526,528,531,533,534,536,540,542,544,546,547,
549,550,551,553,554,555,557,559,562,564,565,566,568,569,571,573,574,576,579,
583,587,588,592,594,595,596,597,598,601,602,603,604,609,611,614,615,620,622,
623,625,627,629,630,631,639,641,642,646,647,651,652,653,655,656,659,661,662,
663,665,666,667,669,670,673,677,681,682,684,691,692,697,701,702,707,708,711,
713,714,715,719,720,721,727,735,740,746,760,761,762,764,781,782,789,791,795,
798,800,803,810,820,825,827,830,831,833,838,841,847,849,851,854,855,856,865,
866,867,869,871,872,873,880,883,898,907,912,914,915,916,917,921,923,924,928,
930,932,940,950,953,964,966,968,970,972,973,982,983,987,994,995,1004,1007,
1013,1015,1017,1020,1024,1027,1035,1042,1043,1044,1046,1047,1049,1051,1055,
1056,1059,1060,1061,1064,1068,1071,1072,1074,1076,1077,1078,1080,1089,1090,
1096,1101,1105,1107,1108,1113,1115,1117,1118,1123,1127,1131,1133,1135,1136,
1138,1141,1142,1145,1146,1147,1152,1153,1155,1156,1157,1158,1160,1165,1170,
1172,1175,1180,1181,1193,1194,1196,1198,1202,1206,1207,1208,1214,1216,1217,
1220,1224,1225,1230,1232,1236,1271,1272,1274,1276,1280,1283,1286,1287,1289,
1298,1301,1320,1325,1329,1333,1335,1344,1349,1352,1360,1363,1367,1368,1374,
1378,1381,1384,1390,1391,1393,1406,1408,1413,1423,1424,1430,1435,1460,1462,
1490,1500,1502,1513,1517,1574,1580,1581,1585,1588,1589,1590,1596,1598,1599,
1600,1601,1602,1604,1609,1613,1615,1617,1618,1619,1620,1621,1622,1625,1627,
1637,1638,1646,1650,1656,1657,1659,1661,1663,1665,1668,1670,1671,1679,1681,
1714,1722,1732,1749,1750,1758,1767,1769,1779,1780,1781,1783,1806,1854,1856,
1857,1865,1868,1869,1879,1883,1884,1885,1888,1895,1900,1901,1903,1904,1909,
1916,1927,1930,1978,1992,1994,1995,1998,2003,2009,2011,2012,2016,2018,2024,
2026,2028,2037,2040,2068,2071,2090,2095,2101,2102,2104,2134],[1,2,3,4,5,6,7,8,
9,10,11,12,13,15,16,17,20,21,22,24,27,28,29,30,31,32,35,36,37,38,41,42,46,48,
50,51,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,95,96,98,99,100,103,105,107,108,109,112,113,115,
116,117,120,122,123,124,127,128,129,132,137,138,141,144,146,148,157,158,164,
165,166,168,169,170,171,172,174,175,178,183,184,187,189,194,195,199,201,207,
208,223,224,226,227,228,229,231,233,237,238,241,242,245,246,248,249,250,251,
254,255,256,257,259,260,262,263,265,272,273,274,276,278,279,280,288,289,291,
293,294,296,297,298,300,301,302,303,306,307,310,315,320,322,324,325,326,327,
328,329,332,334,335,336,337,340,343,345,346,351,352,356,357,362,369,372,374,
377,380,383,386,388,391,394,395,396,397,400,401,403,406,407,408,410,411,414,
418,420,421,422,424,430,432,433,437,439,442,444,454,457,463,466,474,477,499,
511,513,524,526,528,529,530,539,541,543,550,560,562,570,577,582,584,585,586,
591,596,602,603,604,609,611,612,614,615,618,621,624,625,626,627,629,631,632,
634,638,641,642,646,648,649,650,654,657,658,660,664,667,668,669,670,672,673,
674,676,679,681,684,686,688,689,690,693,694,695,696,709,718,719,722,723,724,
727,732,738,739,742,744,745,753,754,755,756,757,759,762,763,766,769,772,773,
777,781,783,791,793,802,814,816,818,854,859,860,868,873,876,899,900,904,922,
928,932,934,938,939,941,944,946,963,964,965,966,968,972,973,976,980,985,992,
996,1008,1014,1018,1023,1025,1028,1029,1030,1041,1057,1070,1081,1083,1111,
1122,1134,1140,1141,1142,1145,1146,1149,1150,1159,1160,1161,1162,1166,1173,
1174,1178,1181,1182,1187,1190,1192,1194,1195,1199,1200,1203,1204,1205,1207,
1208,1215,1220,1221,1222,1229,1234,1237,1246,1247,1249,1252,1257,1258,1262,
1266,1293,1299,1300,1311,1312,1313,1327,1329,1337,1353,1359,1365,1382,1386,
1394,1397,1415,1437,1452,1456,1497,1507,1517,1530,1545,1570,1592,1594,1597,
1599,1600,1601,1602,1604,1605,1606,1615,1616,1617,1619,1620,1626,1629,1631,
1632,1641,1643,1651,1652,1655,1660,1662,1666,1669,1671,1674,1676,1694,1698,
1700,1703,1711,1716,1721,1774,1784,1854,1855,1858,1864,1867,1873,1881,1882,
1883,1887,1891,1894,1898,1901,1904,1908,1917,1923,1933,1942,1992,1994,1995,
1997,2002,2004,2005,2008,2015,2033,2034,2035,2036,2039,2041,2069,2071,2086,
2094,2103,2105,2106,2135],[1,2,3,4,8,11,12,13,15,16,17,22,24,31,54,64,65,67,
68,69,70,71,72,74,84,90,96,98,99,116,146,226,228,258,259,260,262,263,265,279,
291,302,307,322,337,343,439,606,609,672,674,676,684,696,718,1143,1146,1149,
1226,1227,1229,1234,1237,1600,1672,1674,1864,2002,2051,2098,2108,2136],[1,2,3,
4,9,11,12,13,15,16,17,22,24,31,56,62,64,65,67,68,69,70,71,72,74,84,90,96,98,
99,116,146,227,233,237,245,249,258,259,260,262,263,265,279,291,302,307,322,
337,343,439,605,618,624,632,642,650,672,674,676,684,696,718,1144,1145,1161,
1166,1173,1174,1226,1227,1229,1234,1237,1605,1617,1641,1672,1674,1861,1867,
1887,1891,1999,2015,2051,2098,2109,2137],[1,2,3,5,6,7,9,13,14,17,18,19,20,21,
25,26,27,28,30,33,34,38,41,43,44,45,47,48,49,50,52,53,55,56,59,60,62,64,65,69,
75,76,77,78,81,87,97,102,104,105,110,111,114,118,119,122,123,124,125,129,130,
131,132,134,135,136,142,144,147,150,151,152,153,154,159,160,162,163,172,178,
179,180,181,189,191,193,200,202,204,206,209,210,212,213,214,216,219,221,222,
225,232,233,234,242,245,246,253,254,257,258,259,269,281,286,297,308,320,324,
327,330,331,332,336,344,348,376,379,382,384,390,392,393,413,415,416,417,427,
438,441,447,450,458,460,461,462,464,472,475,476,480,486,488,493,496,497,499,
500,501,503,504,505,506,507,520,521,522,523,524,533,536,538,544,546,549,551,
556,598,599,600,601,605,608,610,611,612,613,616,617,618,619,620,628,631,633,
636,640,642,644,645,648,651,655,656,661,677,680,682,700,768,777,778,792,803,
812,823,837,838,839,846,847,864,871,875,882,883,884,891,913,915,923,924,942,
947,953,971,982,983,1006,1011,1042,1052,1062,1063,1078,1088,1115,1119,1125,
1127,1144,1153,1162,1164,1169,1171,1174,1176,1177,1178,1185,1188,1190,1201,
1210,1211,1219,1220,1223,1225,1226,1238,1268,1401,1402,1413,1431,1432,1435,
1474,1479,1499,1506,1532,1555,1568,1607,1612,1613,1614,1621,1622,1625,1627,
1628,1632,1642,1672,1829,1860,1861,1862,1892,1897,1899,1903,1911,1912,1918,
1919,1922,1927,1999,2000,2001,2022,2048,2112,2138],[1,2,3,6,9,13,17,18,29,32,
34,36,37,39,45,56,59,62,64,65,69,86,89,91,94,103,137,140,145,156,161,186,196,
201,209,218,232,233,245,250,251,253,258,259,267,294,313,317,319,335,356,385,
414,455,482,512,525,575,580,589,593,605,610,618,635,637,638,642,643,645,649,
678,701,703,758,769,850,878,920,961,1039,1040,1103,1110,1144,1155,1174,1182,
1187,1191,1218,1226,1242,1267,1463,1464,1475,1504,1565,1603,1623,1630,1631,
1661,1672,1822,1861,1862,1875,1876,1886,1902,1905,1914,1999,2025,2045,2111,
2139],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
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,
57,58,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
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,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,226,
228,235,236,243,244,247,248,252,259,260,261,262,263,264,265,266,267,268,269,
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,
593,594,595,596,597,598,599,600,601,609,614,615,622,623,625,627,629,646,647,
653,663,665,666,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,
744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,
763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,
820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,
839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,
858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,
877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,
934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,
953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,
972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,
991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,
1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,
1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1146,1149,1152,1158,1165,
1170,1172,1175,1180,1181,1193,1194,1196,1214,1224,1229,1230,1231,1232,1233,
1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,
1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,
1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,
1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,
1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,
1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,
1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,
1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,
1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,
1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,
1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,
1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,
1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,
1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,
1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,
1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,
1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,
1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,
1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,
1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,
1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1600,1602,1604,1609,
1615,1616,1620,1637,1638,1650,1655,1656,1657,1659,1663,1674,1675,1676,1677,
1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,
1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,
1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,
1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,
1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,
1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,
1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,
1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,
1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1864,1868,1871,1879,1883,
1884,1885,1888,1895,1904,1907,1909,1928,1930,1934,1935,1936,1937,1938,1939,
1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,
1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,
1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,
1985,1986,1987,1988,1989,1990,2002,2004,2005,2009,2016,2018,2024,2026,2028,
2037,2050,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,
2066,2067,2073,2074,2079,2080,2081,2086,2088,2095,2100,2113,2116,2119,2120,
2122,2123,2129,2140],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,
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,
50,51,52,53,55,56,59,60,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
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,
220,221,222,223,227,233,234,237,242,245,246,249,250,251,253,254,257,259,260,
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,
584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,611,
612,618,620,621,624,631,632,638,642,645,648,649,650,651,655,656,658,660,661,
664,667,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,
708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,
841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,
860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,
879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,
936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,
955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,
993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,
1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,
1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1136,1137,1145,1153,1155,1157,1161,1162,1166,
1173,1174,1178,1182,1187,1190,1195,1199,1204,1205,1220,1222,1223,1225,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,
1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,
1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,
1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,
1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,
1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,
1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,
1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,
1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,
1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,
1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,
1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,
1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,
1601,1605,1606,1612,1613,1614,1617,1619,1621,1622,1623,1625,1627,1629,1630,
1631,1632,1641,1651,1652,1660,1661,1666,1668,1674,1675,1676,1677,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,
1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,
1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,
1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,
1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,
1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,
1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,
1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,
1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,
1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,
1845,1846,1847,1848,1849,1850,1851,1852,1865,1867,1881,1882,1887,1891,1894,
1898,1901,1902,1903,1905,1908,1911,1912,1914,1918,1919,1922,1927,1933,1934,
1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,
1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,
1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,
1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,2003,2006,2007,2008,
2011,2012,2015,2033,2034,2035,2036,2039,2045,2048,2053,2054,2055,2056,2057,
2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2075,2082,2083,2084,2085,
2087,2089,2090,2092,2094,2100,2114,2117,2118,2121,2124,2126,2127,2141],[1,2,3,
4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,59,60,62,
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,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,225,227,
232,233,237,242,245,246,249,250,251,254,257,259,260,261,262,263,264,265,266,
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,
590,591,592,593,594,595,596,597,598,599,600,601,608,610,611,612,613,616,617,
618,619,621,624,628,631,632,633,635,636,637,638,640,642,643,644,648,649,650,
658,660,664,667,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,
744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,
763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,
782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,
801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,
820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,
839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,
858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,
877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,
934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,
953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,
972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,
991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,
1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,
1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1145,1151,1161,1162,1163,
1164,1166,1167,1168,1169,1171,1173,1174,1176,1177,1178,1179,1182,1183,1184,
1185,1186,1187,1188,1189,1190,1191,1195,1197,1199,1201,1204,1205,1209,1210,
1211,1212,1213,1218,1219,1220,1222,1229,1230,1231,1232,1233,1234,1235,1236,
1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,
1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,
1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,
1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,
1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,
1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,
1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,
1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,
1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,
1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,
1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,
1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,
1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,
1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,
1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,
1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,
1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,
1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,
1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,
1582,1583,1584,1585,1586,1587,1588,1589,1601,1603,1605,1606,1607,1608,1617,
1619,1628,1629,1631,1632,1633,1634,1635,1636,1640,1641,1642,1644,1645,1647,
1648,1649,1651,1652,1658,1660,1664,1666,1667,1674,1675,1676,1677,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,
1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,
1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,
1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,
1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,
1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,
1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,
1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,
1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,
1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,
1845,1846,1847,1848,1849,1850,1851,1852,1867,1872,1874,1875,1876,1877,1878,
1880,1881,1882,1886,1887,1889,1890,1891,1892,1893,1894,1896,1897,1898,1899,
1901,1906,1908,1924,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,
1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,
1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,
1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,
1987,1988,1989,1990,2008,2013,2014,2015,2017,2019,2021,2022,2023,2025,2027,
2029,2030,2031,2032,2033,2034,2035,2036,2038,2039,2043,2046,2049,2053,2054,
2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2076,2094,
2096,2097,2100,2115,2125,2128,2142],[1,2,4,8,9,10,11,12,13,15,22,24,31,56,61,
64,65,67,68,70,71,72,90,96,98,99,146,224,226,227,228,229,231,233,237,238,241,
260,262,265,279,307,343,439,605,606,607,618,624,626,632,634,641,657,672,676,
1140,1141,1145,1146,1149,1150,1159,1160,1161,1173,1200,1226,1227,1228,1229,
1605,1626,1854,1855,1861,1863,1864,1867,1873,2051,2069,2108,2109,2110,2143],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,
31,32,35,36,37,38,39,40,41,42,46,47,48,49,50,51,54,56,57,58,61,62,65,66,67,68,
69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,98,99,
100,101,102,103,104,105,106,107,108,109,112,113,114,115,116,117,118,120,121,
122,123,124,126,127,128,129,132,133,134,135,137,138,139,141,143,144,145,146,
148,149,155,156,157,158,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,182,183,184,185,187,189,191,192,194,195,199,201,203,205,207,208,210,
211,212,223,224,226,227,228,229,230,231,233,234,236,237,238,239,241,245,248,
249,252,253,259,260,262,263,265,267,269,271,272,273,274,276,278,279,280,285,
288,289,291,292,293,294,295,296,297,298,300,301,302,303,304,306,307,308,309,
310,311,312,313,314,315,317,319,320,322,324,325,326,327,328,329,330,331,332,
334,335,336,337,339,340,341,343,345,346,347,350,351,352,353,354,356,357,359,
362,364,367,369,370,372,373,374,377,380,381,383,385,386,388,389,391,394,395,
396,397,398,400,401,402,403,404,405,406,407,408,409,410,411,414,416,418,420,
421,422,424,430,432,433,436,437,439,440,442,444,445,454,457,459,460,463,466,
467,474,477,486,487,489,491,499,511,513,514,517,524,526,528,529,530,532,535,
539,540,541,542,543,550,558,560,562,563,565,570,572,573,577,582,584,585,586,
587,588,590,591,592,594,596,597,603,609,614,615,618,623,624,625,626,627,629,
630,632,634,639,641,642,646,650,651,656,657,662,672,673,674,676,677,678,679,
680,681,682,684,686,688,689,690,693,694,695,696,701,705,707,708,709,710,711,
714,717,718,719,720,721,722,723,724,725,726,727,729,732,733,735,737,738,739,
741,742,744,745,746,747,748,751,752,753,754,755,756,757,758,759,760,762,763,
764,765,766,767,768,769,770,772,773,774,777,778,780,781,783,784,785,787,788,
791,792,793,794,795,799,801,802,804,807,808,810,811,814,815,816,818,820,822,
830,832,834,840,841,843,844,850,854,858,859,860,868,869,872,873,876,887,889,
890,892,895,896,897,899,900,903,904,908,914,922,925,926,928,931,932,933,934,
937,938,939,941,943,944,946,951,954,963,964,965,966,968,969,972,973,975,976,
977,979,980,981,984,985,987,988,990,992,993,994,996,997,999,1000,1003,1005,
1008,1009,1012,1013,1014,1016,1017,1018,1019,1020,1022,1023,1025,1026,1028,
1029,1030,1031,1041,1051,1053,1056,1057,1066,1070,1074,1081,1083,1111,1114,
1117,1122,1124,1134,1138,1140,1141,1145,1146,1147,1149,1150,1153,1155,1156,
1157,1158,1159,1160,1161,1166,1173,1174,1175,1180,1181,1194,1200,1202,1214,
1229,1230,1234,1237,1238,1239,1242,1244,1246,1247,1249,1252,1254,1257,1258,
1262,1265,1266,1273,1277,1284,1285,1286,1289,1290,1293,1296,1297,1299,1300,
1301,1302,1305,1306,1308,1309,1311,1312,1313,1314,1317,1319,1327,1328,1329,
1331,1334,1337,1347,1349,1351,1353,1354,1359,1361,1365,1369,1373,1382,1383,
1386,1387,1391,1394,1395,1396,1397,1404,1410,1411,1414,1415,1426,1436,1437,
1438,1441,1442,1443,1444,1452,1453,1454,1456,1465,1469,1470,1472,1476,1483,
1484,1488,1491,1495,1496,1497,1498,1502,1503,1507,1509,1512,1513,1514,1517,
1522,1530,1545,1547,1552,1560,1570,1571,1590,1597,1600,1602,1604,1605,1612,
1615,1616,1617,1618,1620,1622,1623,1624,1626,1627,1638,1641,1655,1661,1674,
1676,1678,1681,1692,1694,1698,1700,1703,1704,1707,1711,1716,1721,1723,1730,
1733,1748,1755,1772,1774,1784,1787,1794,1796,1803,1836,1843,1854,1855,1856,
1864,1865,1867,1868,1869,1873,1883,1885,1887,1891,1904,1905,1907,1919,1925,
1934,1936,1937,1942,1943,1947,1955,1994,2002,2004,2005,2006,2009,2012,2015,
2054,2068,2069,2073,2075,2077,2083,2085,2086,2088,2102,2103,2113,2117,2132,
2144],[1,2,4,5,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,29,31,32,
33,34,35,37,39,40,41,42,45,55,56,58,59,61,65,66,67,68,70,71,72,73,75,76,77,79,
80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,104,111,120,121,
123,126,128,130,132,133,136,137,138,139,140,141,143,146,147,148,150,155,156,
161,162,165,168,171,175,176,177,184,186,187,192,202,203,204,209,218,224,226,
227,228,229,230,231,233,234,235,236,237,238,239,241,246,247,250,253,260,261,
262,264,265,266,267,268,269,270,271,273,274,275,276,277,279,280,282,285,287,
289,292,295,296,299,300,301,303,304,307,308,309,310,316,318,319,321,325,328,
329,332,334,335,338,341,343,352,360,363,364,368,369,370,371,377,384,387,388,
389,392,395,397,398,403,408,409,411,412,413,415,420,421,422,423,424,426,430,
439,442,448,450,455,456,461,462,470,472,473,481,482,485,487,489,491,504,508,
512,553,561,570,577,578,580,584,585,593,597,602,611,612,615,618,620,621,624,
625,626,627,630,632,634,638,639,641,645,647,657,662,672,673,675,676,678,679,
680,681,683,685,687,688,689,691,692,693,694,695,698,700,702,703,706,708,710,
712,714,715,716,722,730,731,732,733,734,736,742,743,744,747,748,749,750,751,
752,755,756,761,763,766,771,774,775,776,779,785,786,790,794,795,797,812,813,
816,817,819,822,823,825,828,834,836,846,851,857,861,862,863,868,870,874,876,
878,879,885,886,911,913,919,922,927,931,945,953,955,958,962,967,976,980,986,
990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,1076,1092,1095,1103,
1132,1138,1140,1141,1145,1146,1147,1149,1150,1152,1153,1155,1156,1157,1158,
1159,1160,1161,1170,1173,1175,1178,1187,1200,1202,1204,1205,1229,1230,1231,
1232,1233,1235,1236,1239,1240,1241,1243,1247,1250,1251,1255,1256,1258,1263,
1264,1265,1275,1281,1283,1284,1296,1298,1299,1300,1304,1308,1313,1315,1316,
1321,1323,1330,1332,1336,1338,1343,1345,1350,1355,1356,1362,1366,1371,1385,
1392,1394,1396,1398,1400,1402,1403,1420,1425,1428,1450,1466,1468,1492,1510,
1516,1518,1519,1536,1539,1541,1562,1565,1594,1596,1601,1604,1605,1606,1612,
1614,1616,1618,1620,1623,1624,1625,1626,1630,1637,1651,1676,1678,1679,1682,
1685,1690,1695,1696,1697,1705,1707,1708,1715,1718,1724,1725,1731,1738,1754,
1792,1801,1826,1854,1855,1856,1864,1865,1867,1868,1869,1871,1873,1879,1882,
1895,1898,1902,1911,1925,1934,1935,1938,1951,1952,1953,1954,1995,2003,2005,
2006,2007,2008,2028,2053,2068,2069,2073,2074,2075,2077,2079,2084,2089,2101,
2106,2114,2123,2132,2145],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,
24,27,28,29,30,31,32,34,35,36,37,38,41,42,46,48,50,51,52,53,54,56,57,58,61,62,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,94,95,96,97,98,99,100,103,105,107,108,109,110,111,112,113,115,116,117,119,
120,122,123,124,125,127,128,129,130,131,132,137,138,140,141,144,146,148,151,
152,154,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,174,175,
178,179,180,183,184,187,189,190,194,195,197,199,201,207,208,217,223,224,225,
226,227,228,229,231,232,233,235,237,238,240,241,243,245,248,249,259,260,261,
262,263,264,265,266,268,270,272,273,274,275,276,277,278,279,280,281,283,284,
286,287,288,289,290,291,293,294,296,297,298,299,300,301,302,303,305,306,307,
310,315,316,318,320,321,322,323,324,325,326,327,328,329,332,333,334,335,336,
337,338,340,342,343,344,345,346,348,349,351,352,356,357,358,360,362,365,366,
368,369,372,374,375,376,377,378,380,382,383,384,386,387,388,391,393,394,395,
396,397,399,400,401,403,406,407,408,410,411,412,413,414,417,418,419,420,421,
422,424,425,426,427,428,429,430,431,432,433,435,437,438,439,441,442,444,446,
448,450,451,452,453,454,457,458,463,466,470,474,475,477,478,479,480,482,483,
485,490,494,499,502,509,511,512,513,518,521,522,523,524,526,527,528,529,530,
531,536,537,538,539,541,543,546,549,550,551,554,555,556,559,560,562,569,570,
577,582,584,585,586,591,596,603,609,613,614,615,617,618,622,624,625,626,627,
628,629,632,633,634,637,640,641,642,643,646,650,657,672,673,674,675,676,679,
681,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,
703,704,706,709,712,715,716,718,719,722,723,724,727,728,730,731,732,734,736,
738,739,740,742,743,744,745,749,750,753,754,755,756,757,759,762,763,766,769,
771,772,773,775,776,777,779,781,782,783,786,791,793,796,802,805,806,813,814,
816,817,818,819,821,824,826,828,831,836,854,856,857,859,860,861,862,863,865,
866,867,868,870,871,873,874,875,876,877,879,881,885,886,888,894,898,899,900,
901,904,906,909,912,919,922,923,928,929,930,932,934,935,936,938,939,941,944,
946,947,948,949,950,952,958,959,960,961,962,963,964,965,966,968,972,973,976,
978,980,985,991,992,996,1001,1004,1006,1007,1008,1010,1014,1015,1018,1023,
1025,1028,1029,1030,1041,1046,1047,1048,1050,1054,1057,1062,1070,1075,1079,
1081,1083,1086,1088,1100,1106,1107,1111,1120,1121,1122,1126,1130,1134,1139,
1140,1141,1145,1146,1148,1149,1150,1151,1152,1154,1159,1160,1161,1164,1166,
1172,1173,1174,1176,1179,1181,1183,1184,1189,1194,1196,1200,1209,1211,1212,
1229,1231,1232,1233,1234,1235,1237,1240,1241,1243,1246,1247,1248,1249,1251,
1252,1253,1255,1256,1257,1258,1260,1261,1262,1263,1264,1266,1267,1268,1269,
1270,1275,1278,1281,1292,1293,1294,1295,1299,1300,1303,1310,1311,1312,1313,
1315,1316,1320,1321,1322,1326,1327,1329,1336,1337,1345,1350,1352,1353,1356,
1358,1359,1364,1365,1367,1371,1376,1377,1378,1382,1386,1388,1392,1393,1394,
1397,1398,1403,1412,1415,1416,1419,1425,1434,1437,1440,1451,1452,1456,1460,
1462,1468,1473,1480,1490,1497,1507,1516,1517,1518,1519,1526,1530,1531,1536,
1537,1545,1549,1554,1558,1563,1564,1569,1570,1584,1587,1595,1597,1600,1602,
1603,1604,1605,1607,1609,1610,1611,1615,1616,1617,1620,1626,1635,1639,1640,
1641,1655,1667,1674,1675,1676,1677,1680,1682,1684,1685,1686,1687,1693,1694,
1698,1699,1700,1701,1702,1703,1706,1708,1711,1712,1716,1718,1719,1721,1726,
1727,1728,1739,1767,1774,1778,1784,1785,1790,1795,1798,1799,1801,1805,1817,
1820,1828,1849,1853,1854,1855,1864,1866,1867,1870,1871,1872,1873,1876,1877,
1878,1883,1887,1888,1891,1893,1895,1896,1899,1904,1906,1909,1921,1924,1935,
1941,1942,1944,1960,1965,1966,1982,1986,1994,1996,2002,2004,2005,2010,2015,
2017,2018,2030,2043,2055,2069,2070,2074,2076,2078,2080,2086,2103,2116,2128,
2133,2146],[1,2,4,5,6,7,8,9,10,11,12,13,14,15,18,20,21,22,23,24,25,26,27,28,
29,30,31,32,35,36,37,38,39,40,41,42,43,44,46,51,52,53,56,57,58,60,61,63,65,66,
67,68,70,71,72,73,77,78,79,80,81,82,83,85,86,87,88,89,90,92,93,95,96,98,99,
100,102,103,104,108,109,110,113,115,119,120,121,123,125,126,128,131,132,133,
137,138,139,141,142,143,146,148,151,152,153,154,155,156,159,160,163,164,165,
166,168,169,170,171,172,174,175,176,177,181,183,184,187,188,190,192,193,195,
196,197,198,199,200,203,206,207,215,217,220,223,224,226,227,228,229,230,231,
233,234,236,237,238,239,241,242,243,244,251,253,255,256,260,262,265,267,269,
271,272,273,274,276,278,279,280,285,289,290,292,293,294,295,296,298,300,301,
303,304,305,307,308,309,310,319,323,325,327,328,329,332,333,334,335,340,341,
343,345,348,349,351,352,355,357,361,364,365,366,369,370,372,376,377,378,379,
383,386,388,389,390,391,395,396,397,398,399,403,408,409,411,420,421,422,424,
428,430,431,433,434,435,439,442,443,449,452,453,454,458,463,464,466,468,471,
474,478,479,487,488,489,490,491,494,500,502,505,516,518,519,521,523,525,526,
529,530,541,546,548,549,554,557,559,560,564,566,568,569,570,571,574,576,577,
579,582,583,584,585,586,591,595,597,604,614,615,618,624,625,626,627,629,630,
631,632,634,639,641,646,652,654,655,657,659,661,662,664,666,667,668,669,670,
672,673,676,678,679,680,681,686,688,689,690,693,694,695,704,708,709,710,713,
714,719,722,724,728,732,733,739,740,742,744,747,748,751,752,755,756,763,766,
774,782,783,785,789,794,795,798,805,806,809,816,821,822,824,826,831,833,834,
835,837,838,847,859,860,866,867,868,876,881,884,888,901,902,904,905,906,909,
910,916,917,918,920,922,929,930,931,935,936,939,952,956,960,961,964,976,978,
980,990,991,1002,1004,1006,1007,1011,1015,1018,1021,1024,1025,1027,1030,1041,
1046,1048,1050,1054,1057,1064,1068,1070,1079,1083,1090,1104,1105,1106,1118,
1122,1131,1133,1134,1135,1136,1138,1140,1141,1145,1146,1147,1149,1150,1153,
1155,1156,1157,1158,1159,1160,1161,1162,1165,1172,1173,1175,1182,1192,1193,
1195,1196,1198,1199,1200,1202,1203,1206,1207,1208,1215,1216,1217,1221,1229,
1230,1239,1245,1247,1248,1249,1253,1258,1259,1260,1261,1262,1265,1278,1280,
1282,1284,1287,1288,1295,1296,1299,1300,1303,1308,1310,1312,1313,1318,1320,
1324,1326,1335,1346,1357,1358,1360,1363,1376,1377,1380,1386,1388,1389,1394,
1396,1399,1409,1416,1431,1489,1490,1493,1504,1507,1524,1527,1529,1531,1533,
1549,1553,1567,1570,1572,1574,1575,1580,1584,1587,1592,1598,1599,1602,1604,
1605,1612,1613,1615,1616,1618,1619,1620,1621,1623,1624,1626,1643,1646,1650,
1652,1655,1662,1663,1665,1666,1668,1669,1670,1671,1676,1678,1683,1684,1698,
1706,1707,1710,1713,1720,1726,1742,1751,1752,1756,1758,1763,1770,1777,1795,
1799,1805,1820,1846,1854,1855,1856,1864,1865,1867,1868,1869,1873,1881,1884,
1888,1894,1900,1909,1914,1916,1917,1918,1920,1923,1925,1926,1928,1934,1939,
1949,1959,1961,1962,1966,1992,1997,1998,2004,2005,2006,2011,2034,2037,2040,
2041,2042,2066,2068,2069,2073,2075,2077,2080,2081,2082,2087,2104,2105,2118,
2119,2131,2132,2147],[1,2,4,5,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,
26,27,29,31,32,33,34,35,37,39,40,41,42,45,55,56,58,59,61,65,66,67,68,70,71,72,
73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,
104,111,120,121,123,126,128,130,132,133,136,137,138,139,140,141,143,146,147,
148,150,155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,203,204,
209,218,224,225,226,227,228,229,231,232,233,235,236,237,238,240,241,246,247,
250,260,261,262,264,265,266,267,268,269,270,271,273,274,275,276,277,279,280,
282,285,287,289,292,295,296,299,300,301,303,304,307,308,309,310,316,318,319,
321,325,328,329,332,334,335,338,341,343,352,360,363,364,368,369,370,371,377,
384,387,388,389,392,395,397,398,403,408,409,411,412,413,415,420,421,422,423,
424,426,430,439,442,448,450,455,456,461,462,470,472,473,481,482,485,487,489,
491,504,508,512,553,561,570,577,578,580,584,585,593,597,602,608,610,611,612,
613,615,616,617,618,619,621,624,625,626,627,628,632,634,635,637,638,641,643,
647,657,672,673,675,676,678,679,680,681,683,685,687,688,689,691,692,693,694,
695,698,700,702,703,706,708,710,712,714,715,716,722,730,731,732,733,734,736,
742,743,744,747,748,749,750,751,752,755,756,761,763,766,771,774,775,776,779,
785,786,790,794,795,797,812,813,816,817,819,822,823,825,828,834,836,846,851,
857,861,862,863,868,870,874,876,878,879,885,886,911,913,919,922,927,931,945,
953,955,958,962,967,976,980,986,990,998,1001,1010,1025,1030,1033,1034,1036,
1040,1057,1069,1076,1092,1095,1103,1132,1139,1140,1141,1145,1146,1148,1149,
1150,1151,1152,1154,1158,1159,1160,1161,1163,1168,1169,1170,1171,1173,1175,
1178,1183,1187,1189,1191,1200,1204,1205,1209,1213,1229,1230,1231,1232,1233,
1235,1236,1239,1240,1241,1243,1247,1250,1251,1255,1256,1258,1263,1264,1265,
1275,1281,1283,1284,1296,1298,1299,1300,1304,1308,1313,1315,1316,1321,1323,
1330,1332,1336,1338,1343,1345,1350,1355,1356,1362,1366,1371,1385,1392,1394,
1396,1398,1400,1402,1403,1420,1425,1428,1450,1466,1468,1492,1510,1516,1518,
1519,1536,1539,1541,1562,1565,1591,1594,1601,1603,1604,1605,1606,1607,1608,
1610,1611,1616,1620,1626,1634,1637,1639,1651,1676,1678,1679,1682,1685,1690,
1695,1696,1697,1705,1707,1708,1715,1718,1724,1725,1731,1738,1754,1792,1801,
1826,1853,1854,1855,1864,1866,1867,1868,1870,1871,1872,1873,1874,1877,1879,
1882,1886,1889,1893,1895,1897,1898,1906,1921,1924,1934,1935,1938,1951,1952,
1953,1954,1991,1995,2005,2008,2010,2019,2028,2038,2053,2069,2070,2073,2074,
2076,2078,2079,2106,2115,2123,2133,2148],[1,2,4,5,6,7,8,9,10,11,12,13,15,19,
20,21,22,24,27,28,29,30,31,32,34,35,36,37,38,41,42,43,44,46,47,49,51,56,57,58,
60,61,63,65,66,67,68,70,71,72,73,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,
91,94,95,96,97,98,99,100,101,103,106,108,109,111,113,114,115,118,120,123,128,
130,132,137,138,140,141,142,145,146,148,149,153,161,162,164,165,166,167,168,
169,170,171,172,173,174,175,182,183,184,185,187,188,191,195,196,198,199,205,
207,211,213,222,223,224,225,226,227,228,229,231,232,233,235,237,238,240,241,
242,244,251,252,255,256,260,261,262,264,265,266,268,270,272,273,274,275,276,
277,278,279,280,287,289,293,294,296,298,299,300,301,303,307,310,311,312,313,
314,316,317,318,321,325,327,328,329,330,331,332,334,335,338,339,340,343,345,
347,350,351,352,353,354,355,357,359,360,361,367,368,369,372,373,377,379,381,
383,384,385,386,387,388,390,391,395,396,397,402,403,404,405,408,411,412,413,
416,420,421,422,424,426,430,433,434,436,439,440,442,443,445,448,450,454,463,
466,469,470,471,474,482,484,485,495,503,507,512,520,525,526,529,530,532,535,
541,544,545,548,558,560,563,565,567,570,572,575,577,579,581,582,583,584,585,
586,588,589,590,591,604,613,614,615,617,618,624,625,626,627,628,629,631,632,
634,636,637,641,643,644,646,654,657,663,664,667,668,669,670,671,672,673,675,
676,679,681,683,685,686,687,688,689,690,691,692,693,694,695,698,700,703,705,
706,709,712,713,715,716,717,719,721,722,724,726,729,730,731,732,734,736,737,
739,741,742,743,744,749,750,755,756,758,763,764,765,766,768,771,775,776,779,
780,783,786,789,800,803,809,810,813,816,817,819,828,829,835,836,837,840,843,
848,857,859,860,861,862,863,864,868,870,872,874,876,879,880,885,886,887,889,
893,897,902,903,904,905,908,919,920,922,925,939,942,954,956,957,958,962,964,
970,976,977,979,980,982,984,988,993,994,995,997,1001,1002,1005,1010,1012,1016,
1017,1018,1019,1020,1021,1022,1025,1026,1030,1038,1039,1041,1045,1049,1053,
1057,1061,1065,1066,1067,1070,1073,1082,1083,1087,1091,1104,1105,1110,1114,
1122,1124,1134,1137,1139,1140,1141,1145,1146,1148,1149,1150,1151,1152,1154,
1159,1160,1161,1162,1165,1167,1173,1177,1180,1182,1183,1185,1186,1189,1192,
1193,1195,1197,1199,1200,1203,1207,1208,1209,1214,1215,1218,1221,1229,1231,
1232,1233,1235,1240,1241,1243,1244,1245,1247,1249,1251,1254,1255,1256,1258,
1259,1262,1263,1264,1272,1274,1275,1279,1281,1282,1288,1291,1299,1300,1306,
1307,1312,1313,1314,1315,1316,1321,1324,1333,1335,1336,1344,1345,1346,1350,
1354,1356,1361,1369,1370,1371,1386,1391,1392,1394,1395,1398,1399,1403,1411,
1417,1425,1426,1427,1429,1432,1439,1445,1455,1457,1458,1461,1463,1467,1468,
1477,1478,1481,1482,1483,1485,1488,1495,1496,1501,1507,1508,1511,1512,1514,
1515,1516,1518,1519,1520,1523,1524,1529,1536,1538,1551,1553,1556,1559,1560,
1566,1570,1571,1592,1593,1599,1602,1603,1604,1605,1607,1610,1611,1615,1616,
1619,1620,1626,1639,1643,1645,1648,1652,1653,1654,1655,1659,1662,1664,1666,
1669,1671,1676,1682,1683,1685,1688,1689,1691,1692,1698,1704,1708,1709,1710,
1718,1723,1729,1734,1737,1756,1761,1770,1771,1783,1789,1794,1796,1801,1807,
1810,1811,1816,1818,1827,1830,1831,1834,1836,1839,1842,1844,1851,1852,1853,
1854,1855,1864,1866,1867,1870,1871,1872,1873,1875,1877,1880,1881,1884,1885,
1890,1892,1893,1894,1895,1906,1907,1910,1913,1915,1917,1921,1923,1924,1928,
1929,1935,1939,1940,1948,1955,1957,1967,1972,1976,1979,1980,1992,1993,1997,
2004,2005,2010,2020,2026,2031,2032,2034,2041,2044,2046,2047,2049,2050,2063,
2069,2070,2074,2076,2078,2081,2088,2091,2093,2105,2107,2125,2129,2130,2133,
2149],[1,2,3,4,8,9,10,11,12,13,15,16,17,22,24,31,54,56,61,62,64,65,67,68,69,
70,71,72,74,84,90,96,98,99,116,146,224,226,227,228,229,231,233,237,238,241,
245,249,258,259,260,262,263,265,279,291,302,307,322,337,343,439,603,605,606,
607,609,618,624,626,632,634,641,642,650,657,672,674,676,684,696,718,1140,1141,
1143,1144,1145,1146,1149,1150,1159,1160,1161,1166,1173,1174,1200,1226,1227,
1228,1229,1234,1237,1597,1600,1605,1617,1626,1641,1672,1673,1674,1854,1855,
1861,1863,1864,1867,1873,1887,1891,1994,1999,2002,2015,2051,2069,2098,2103,
2108,2109,2110,2136,2137,2143,2150],[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,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,
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,
211,212,213,214,215,216,217,218,219,220,221,222,223,224,226,227,228,229,230,
231,233,234,235,236,237,238,239,241,242,243,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,259,260,261,262,263,264,265,266,267,268,269,270,271,
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,
595,596,597,598,599,600,601,602,603,604,609,611,612,614,615,618,620,621,622,
623,624,625,626,627,629,630,631,632,634,638,639,641,642,645,646,647,648,649,
650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,
669,670,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,
708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,
841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,
860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,
879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,
936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,
955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,
993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,
1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,
1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1136,1137,1138,1140,1141,1142,1145,1146,1147,
1149,1150,1152,1153,1155,1156,1157,1158,1159,1160,1161,1162,1165,1166,1170,
1172,1173,1174,1175,1178,1180,1181,1182,1187,1190,1192,1193,1194,1195,1196,
1198,1199,1200,1202,1203,1204,1205,1206,1207,1208,1214,1215,1216,1217,1220,
1221,1222,1223,1224,1225,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,
1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,
1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,
1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,
1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,
1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,
1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,
1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,
1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,
1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,
1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,
1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,
1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,
1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,
1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,
1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,
1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,
1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,
1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,
1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,
1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,
1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,
1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,
1584,1585,1586,1587,1588,1589,1590,1592,1594,1596,1597,1598,1599,1600,1601,
1602,1604,1605,1606,1609,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,
1622,1623,1624,1625,1626,1627,1629,1630,1631,1632,1637,1638,1641,1643,1646,
1650,1651,1652,1655,1656,1657,1659,1660,1661,1662,1663,1665,1666,1668,1669,
1670,1671,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,
1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,
1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,
1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,
1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,
1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,
1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,
1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,
1852,1854,1855,1856,1857,1858,1864,1865,1867,1868,1869,1871,1873,1879,1881,
1882,1883,1884,1885,1887,1888,1891,1894,1895,1898,1900,1901,1902,1903,1904,
1905,1907,1908,1909,1911,1912,1914,1916,1917,1918,1919,1920,1922,1923,1925,
1926,1927,1928,1930,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,
1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,
1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,
1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,
1989,1990,1992,1994,1995,1997,1998,2002,2003,2004,2005,2006,2007,2008,2009,
2011,2012,2015,2016,2018,2024,2026,2028,2033,2034,2035,2036,2037,2039,2040,
2041,2042,2045,2048,2050,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,
2063,2064,2065,2066,2067,2068,2069,2071,2073,2074,2075,2077,2079,2080,2081,
2082,2083,2084,2085,2086,2087,2088,2089,2090,2092,2094,2095,2100,2101,2102,
2103,2104,2105,2106,2113,2114,2116,2117,2118,2119,2120,2121,2122,2123,2124,
2126,2127,2129,2131,2132,2134,2135,2140,2141,2144,2145,2147,2151],[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,
59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
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,
223,224,225,226,227,228,229,231,232,233,235,236,237,238,240,241,242,243,244,
245,246,247,248,249,250,251,252,254,255,256,257,259,260,261,262,263,264,265,
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,
589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,608,609,610,
611,612,613,614,615,616,617,618,619,621,622,623,624,625,626,627,628,629,631,
632,633,634,635,636,637,638,640,641,642,643,644,646,647,648,649,650,653,654,
657,658,660,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,
717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,
736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,
755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,
774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,
793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,
812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,
831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,
869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,
888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,
907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,
926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,
945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,
964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,
983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,
1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,
1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,
1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,
1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,
1137,1139,1140,1141,1142,1145,1146,1148,1149,1150,1151,1152,1154,1158,1159,
1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,
1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,
1190,1191,1192,1193,1194,1195,1196,1197,1199,1200,1201,1203,1204,1205,1207,
1208,1209,1210,1211,1212,1213,1214,1215,1218,1219,1220,1221,1222,1224,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,
1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,
1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,
1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,
1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,
1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,
1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,
1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,
1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,
1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,
1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,
1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,
1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,
1591,1592,1593,1594,1595,1597,1599,1600,1601,1602,1603,1604,1605,1606,1607,
1608,1609,1610,1611,1615,1616,1617,1619,1620,1626,1628,1629,1631,1632,1633,
1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1647,1648,1649,
1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1662,1663,1664,1666,
1667,1669,1671,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,
1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,
1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,
1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,
1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,
1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,
1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,
1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,
1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,
1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,
1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,
1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,
1851,1852,1853,1854,1855,1858,1859,1864,1866,1867,1868,1870,1871,1872,1873,
1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,
1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1901,1904,1906,1907,
1908,1909,1910,1913,1915,1917,1921,1923,1924,1928,1929,1930,1931,1932,1933,
1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,
1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,
1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,
1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,
1994,1995,1996,1997,2002,2004,2005,2008,2009,2010,2013,2014,2015,2016,2017,
2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,
2033,2034,2035,2036,2037,2038,2039,2041,2043,2044,2046,2047,2049,2050,2053,
2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2069,
2070,2071,2072,2073,2074,2076,2078,2079,2080,2081,2086,2088,2091,2093,2094,
2095,2096,2097,2100,2103,2105,2106,2107,2113,2115,2116,2119,2120,2122,2123,
2125,2128,2129,2130,2133,2135,2140,2142,2146,2148,2149,2152],[1,2,4,5,6,9,11,
12,13,14,15,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,
55,56,59,64,65,66,67,68,70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,102,104,111,120,121,123,126,128,130,132,133,136,
137,138,139,140,141,143,146,147,148,150,155,156,161,162,165,168,171,175,176,
177,184,186,187,192,202,203,204,209,218,225,227,232,233,234,237,246,250,253,
260,261,262,264,265,266,267,268,269,270,271,273,274,275,276,277,279,280,282,
285,287,289,292,295,296,299,300,301,303,304,307,308,309,310,316,318,319,321,
325,328,329,332,334,335,338,341,343,352,360,363,364,368,369,370,371,377,384,
387,388,389,392,395,397,398,403,408,409,411,412,413,415,420,421,422,423,424,
426,430,439,442,448,450,455,456,461,462,470,472,473,481,482,485,487,489,491,
504,508,512,553,561,570,577,578,580,584,585,593,597,605,608,610,611,612,613,
616,617,618,619,620,621,624,628,632,635,637,638,643,645,672,673,675,676,678,
679,680,681,683,685,687,688,689,691,692,693,694,695,698,700,702,703,706,708,
710,712,714,715,716,722,730,731,732,733,734,736,742,743,744,747,748,749,750,
751,752,755,756,761,763,766,771,774,775,776,779,785,786,790,794,795,797,812,
813,816,817,819,822,823,825,828,834,836,846,851,857,861,862,863,868,870,874,
876,878,879,885,886,911,913,919,922,927,931,945,953,955,958,962,967,976,980,
986,990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,1076,1092,1095,
1103,1132,1145,1151,1153,1155,1157,1161,1163,1168,1169,1171,1173,1178,1183,
1187,1189,1191,1204,1205,1209,1213,1226,1227,1229,1230,1231,1232,1233,1235,
1236,1239,1240,1241,1243,1247,1250,1251,1255,1256,1258,1263,1264,1265,1275,
1281,1283,1284,1296,1298,1299,1300,1304,1308,1313,1315,1316,1321,1323,1330,
1332,1336,1338,1343,1345,1350,1355,1356,1362,1366,1371,1385,1392,1394,1396,
1398,1400,1402,1403,1420,1425,1428,1450,1466,1468,1492,1510,1516,1518,1519,
1536,1539,1541,1562,1565,1601,1603,1605,1606,1607,1608,1612,1614,1623,1625,
1630,1634,1651,1676,1678,1679,1682,1685,1690,1695,1696,1697,1705,1707,1708,
1715,1718,1724,1725,1731,1738,1754,1792,1801,1826,1860,1861,1862,1865,1867,
1872,1874,1877,1882,1886,1889,1893,1897,1898,1902,1906,1911,1924,1934,1935,
1938,1951,1952,1953,1954,2003,2006,2007,2008,2019,2038,2051,2053,2075,2076,
2084,2089,2109,2111,2112,2114,2115,2153],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,
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,
43,44,45,46,47,48,49,50,51,52,53,55,56,59,60,62,64,65,66,67,68,69,70,71,72,73,
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,
214,215,216,217,218,219,220,221,222,223,225,227,232,233,234,237,242,245,246,
249,250,251,253,254,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
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,
594,595,596,597,598,599,600,601,605,608,610,611,612,613,616,617,618,619,620,
621,624,628,631,632,633,635,636,637,638,640,642,643,644,645,648,649,650,651,
655,656,658,660,661,664,667,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,
703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,
722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,
741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,
760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,
779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,
798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,
817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,
836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,
855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,
874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,
893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,
950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,
969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,
988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,
1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1144,1145,1151,
1153,1155,1157,1161,1162,1163,1164,1166,1167,1168,1169,1171,1173,1174,1176,
1177,1178,1179,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1195,1197,
1199,1201,1204,1205,1209,1210,1211,1212,1213,1218,1219,1220,1222,1223,1225,
1226,1227,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,
1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,
1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,
1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,
1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,
1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,
1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,
1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,
1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,
1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,
1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,
1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,
1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,
1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,
1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,
1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,
1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,
1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,
1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,
1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,
1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,
1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,
1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,
1587,1588,1589,1601,1603,1605,1606,1607,1608,1612,1613,1614,1617,1619,1621,
1622,1623,1625,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1640,1641,
1642,1644,1645,1647,1648,1649,1651,1652,1658,1660,1661,1664,1666,1667,1668,
1672,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,
1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,
1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,
1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,
1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,
1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,
1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,
1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,
1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,
1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,
1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,
1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,
1860,1861,1862,1865,1867,1872,1874,1875,1876,1877,1878,1880,1881,1882,1886,
1887,1889,1890,1891,1892,1893,1894,1896,1897,1898,1899,1901,1902,1903,1905,
1906,1908,1911,1912,1914,1918,1919,1922,1924,1927,1931,1932,1933,1934,1935,
1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,
1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,
1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,
1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1999,2000,2001,2003,2006,
2007,2008,2011,2012,2013,2014,2015,2017,2019,2021,2022,2023,2025,2027,2029,
2030,2031,2032,2033,2034,2035,2036,2038,2039,2043,2045,2046,2048,2049,2051,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,
2075,2076,2082,2083,2084,2085,2087,2089,2090,2092,2094,2096,2097,2098,2100,
2109,2111,2112,2114,2115,2117,2118,2121,2124,2125,2126,2127,2128,2137,2138,
2139,2141,2142,2153,2154],[1,2,4,5,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,
24,25,26,27,29,31,32,33,34,35,37,39,40,41,42,45,55,56,58,59,61,64,65,66,67,68,
70,71,72,73,75,76,77,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,102,104,111,120,121,123,126,128,130,132,133,136,137,138,139,140,141,143,
146,147,148,150,155,156,161,162,165,168,171,175,176,177,184,186,187,192,202,
203,204,209,218,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,246,247,250,253,260,261,262,264,265,266,267,268,269,270,271,273,
274,275,276,277,279,280,282,285,287,289,292,295,296,299,300,301,303,304,307,
308,309,310,316,318,319,321,325,328,329,332,334,335,338,341,343,352,360,363,
364,368,369,370,371,377,384,387,388,389,392,395,397,398,403,408,409,411,412,
413,415,420,421,422,423,424,426,430,439,442,448,450,455,456,461,462,470,472,
473,481,482,485,487,489,491,504,508,512,553,561,570,577,578,580,584,585,593,
597,602,605,606,607,608,610,611,612,613,615,616,617,618,619,620,621,624,625,
626,627,628,630,632,634,635,637,638,639,641,643,645,647,657,662,672,673,675,
676,678,679,680,681,683,685,687,688,689,691,692,693,694,695,698,700,702,703,
706,708,710,712,714,715,716,722,730,731,732,733,734,736,742,743,744,747,748,
749,750,751,752,755,756,761,763,766,771,774,775,776,779,785,786,790,794,795,
797,812,813,816,817,819,822,823,825,828,834,836,846,851,857,861,862,863,868,
870,874,876,878,879,885,886,911,913,919,922,927,931,945,953,955,958,962,967,
976,980,986,990,998,1001,1010,1025,1030,1033,1034,1036,1040,1057,1069,1076,
1092,1095,1103,1132,1138,1139,1140,1141,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1163,1168,1169,1170,1171,
1173,1175,1178,1183,1187,1189,1191,1200,1202,1204,1205,1209,1213,1226,1227,
1228,1229,1230,1231,1232,1233,1235,1236,1239,1240,1241,1243,1247,1250,1251,
1255,1256,1258,1263,1264,1265,1275,1281,1283,1284,1296,1298,1299,1300,1304,
1308,1313,1315,1316,1321,1323,1330,1332,1336,1338,1343,1345,1350,1355,1356,
1362,1366,1371,1385,1392,1394,1396,1398,1400,1402,1403,1420,1425,1428,1450,
1466,1468,1492,1510,1516,1518,1519,1536,1539,1541,1562,1565,1591,1594,1596,
1601,1603,1604,1605,1606,1607,1608,1610,1611,1612,1614,1616,1618,1620,1623,
1624,1625,1626,1630,1634,1637,1639,1651,1676,1678,1679,1682,1685,1690,1695,
1696,1697,1705,1707,1708,1715,1718,1724,1725,1731,1738,1754,1792,1801,1826,
1853,1854,1855,1856,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,
1871,1872,1873,1874,1877,1879,1882,1886,1889,1893,1895,1897,1898,1902,1906,
1911,1921,1924,1925,1934,1935,1938,1951,1952,1953,1954,1991,1995,2003,2005,
2006,2007,2008,2010,2019,2028,2038,2051,2052,2053,2068,2069,2070,2073,2074,
2075,2076,2077,2078,2079,2084,2089,2101,2106,2108,2109,2110,2111,2112,2114,
2115,2123,2132,2133,2143,2145,2148,2153,2155],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,
227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,
398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,
436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,
455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,
474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,
493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,
512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,
550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,
569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,
588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,
645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,
797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,
835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,
873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,
892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,
911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,
930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,
949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,
968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,
987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,
1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,
1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,
1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,
1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,
1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,
1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,
1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,
1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,
1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,
1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,
1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,
1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,
1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,
1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,
1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,
1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,
1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,
1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,
1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,
1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,
1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,
1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,
1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,
1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,
1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,
1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,
1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,
1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,
1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,
1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,
1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,
1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,
1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,
1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,
1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,
1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,
1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,
1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,
1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,
1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,
1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,
1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,
1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,
1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,
1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,
1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,
1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,
1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,
1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,
1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,
1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,
1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,
1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,
1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,
2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,
2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,
2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,
2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,
2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,
2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,
2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,
2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,
2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,
2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[
1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,2,
1],[1,2,1,1],[1,3,1],[1,3,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[
1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,
1],[1,3,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,
1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,
3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[
1,1,1,1],[1,3,1,1],[1,1],[1,7,7,1],[1,3,4,1,6,1],[1,3,4,1,3,3,1],[1,3,4,1,6,
1],[1,3,4,1,6,1],[1,7,7,1],[1,3,4,1,2,4,1],[1,5,2,1,1,1,4,1],[1,3,4,1,2,4,1],[
1,3,2,1,1,1,1],[1,1,6,4,3,1],[1,1,6,3,4,1],[1,3,2,2,1,1,1,4,1],[1,3,1,2,1],[1,
1,2,2,2,1,1,1,4,1],[1,3,1,2,1],[1,3,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,
3,1,2,1],[1,3,1,2,1],[1,3,4,1,2,4,1],[1,3,1,2,1],[1,1,2,4,1,2,4,1],[1,3,1,2,
1],[1,1,6,1,4,2,1],[1,1,6,3,4,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,
1],[1,3,1,3,1,3,3,1],[1,1,6,1,3,3,1],[1,1,3,1],[1,3,4,3,1,3,1],[1,4,3,1,3,3,
1],[1,3,1,3,1,3,3,1],[1,1,2,1,2,1],[1,1,4,2,1,1,1,2,2,1],[1,3,1,2,1],[1,1,2,4,
1,1,2,1,2,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,
1,1,1],[1,1,2,4,1,2,4,1],[1,1,2,4,1,2,4,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[
1,1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,6,1,2,2,2,1],[1,1,2,2,1,
1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,4,1,2,4,1],[1,1,2,4,1,2,2,
2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,1,
2,1,2,1],[1,3,2,1,1,1,1],[1,1,6,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[
1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,5,1,1,2,2,1,1],[1,1,2,1,
2,1],[1,1,2,1,3,1,2,1,1,2,1],[1,1,2,1,2,1],[1,1,1,5,1,1,2,2,1,1],[1,1,2,1,1,1,
1],[1,1,1,2,1],[1,2,5,1,1,2,3,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,2,1,1,1,
1],[1,1,3,3,1,2,1,2,1,1],[1,1,6,1,1,2,3,1],[1,1,2,1,1,1,1],[1,1,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,1,2,1],[1,1,4,2,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
1,2,1,2,1],[1,2,1,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,
1,1,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,2,1,4,1,1,1,2,2,1],[1,3,2,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,1,3,1,1,2,2,1,1],[1,1,2,4,1,1,1,2,2,
1],[1,1,1,5,1,2,2,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
1,2,1,1,1,1],[1,1,2,1,2,1],[1,2,1,1,1,1,1],[1,1,1,1,1,2,1],[1,1,2,1,1,2,1,1,1,
2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,4,1,1,1,2,2,1],[1,1,2,4,1,1,1,1,1,2,1],[1,2,1,
2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,1,1,4,1,2,2,2,
1],[1,1,1,1,1,2,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,3,1,1,
1,1],[1,1,1,5,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,5,1,1,1,1],[1,1,1,2,3,1,1,2,2,1,1],[1,
1,2,2,1,1,1,1],[1,1,2,1,3,1,2,1,1,2,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,5,1,1,1,1],[1,1,1,1,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,
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],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,
1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[
1,1,6,1,3,2,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,
1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,
1,6,1,3,2,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,7,8,7,28,1,14,1],[1,9,6,3,2,3,9,18,6,9,
1],[1,3,12,1,16,18,3,12,1],[1,3,12,1,4,12,18,3,12,1],[1,7,7,4,1,6,1],[1,3,12,
1,6,12,16,3,4,8,1],[1,9,6,1,7,3,12,12,1,3,3,8,1],[1,3,1,6,3,4,1],[1,3,12,1,4,
6,12,12,3,12,1],[1,3,1,6,3,4,1],[1,3,6,6,1,2,2,3,3,6,6,12,3,6,6,1],[1,3,1,6,3,
1],[1,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,3,4,1,2,4,4,1,2,4,1],[1,5,2,1,1,1,4,4,1,
2,2,2,1],[1,5,2,8,1,1,1,4,4,8,8,8,1,2,2,2,8,1],[1,3,4,1,2,4,4,1,2,4,1],[1,5,2,
1,1,1,4,4,1,2,2,2,1],[1,3,4,1,6,4,1,2,4,1],[1,3,4,8,1,2,4,4,8,16,1,2,4,8,1],[
1,5,10,1,1,5,4,8,16,2,2,1,2,8,1],[1,5,2,4,4,1,1,1,2,6,4,4,8,8,1,1,1,2,2,8,1],[
1,1,2,6,6,1,4,3,3,12,12,1,3,3,8,1],[1,3,4,1,6,4,1,6,1],[1,1,6,1,3,3,4,1,3,3,
1],[1,1,6,1,4,3,3,1,3,3,1],[1,3,6,6,1,1,6,3,6,6,6,6,1,2,3,3,6,1],[1,1,2,6,6,1,
3,3,4,12,12,1,3,3,8,1],[1,3,8,1,4,8,2,2,1,4,1],[1,3,1,2,2,2,1,1,1,4,1],[1,5,2,
1,1,1,4,4,1,2,1],[1,1,2,1,2,4,1,2,4,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,8,1,2,2,
4,2,4,4,8,8,2,1,4,4,4,1],[1,5,2,1,1,1,4,4,1,2,1],[1,7,7,4,1,2,1],[1,3,2,10,1,
1,1,4,4,4,8,4,4,4,1,2,2,2,8,1],[1,3,4,1,4,6,1,2,1],[1,3,4,4,1,6,2,2,4,1,1,1,4,
1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,4,1,2,4,6,2,1,1,1,4,
1],[1,5,2,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,3,4,4,1,2,2,6,4,1,1,1,4,1],[1,3,4,1,
6,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,1,2,8,1,2,4,8,1,2,4,1],[1,3,2,2,1,2,1,
1,2,4,1,1,1,2,2,1],[1,7,8,1,2,2,12,4,14,1,2,4,4,4,1],[1,3,2,2,1,1,1,4,4,1,2,
1],[1,3,4,1,4,2,4,1,2,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,3,1,4,2,2,1,1],[1,
3,2,2,1,1,1,4,4,1,2,2,2,1],[1,3,1,2,4,1,2,4,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,
2,2,4,1,2,1,1,2,4,4,1,1,1,2,2,1],[1,3,1,4,2,1,2,1],[1,3,1,2,4,1,2,1],[1,3,4,4,
1,2,6,2,4,1,1,1,4,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,2,2,4,1,6,1,1,2,4,4,8,8,1,1,
1,2,2,8,1],[1,3,4,1,6,4,1,2,1],[1,5,4,2,1,1,1,2,6,4,1,1,2,1,2,1],[1,1,2,2,2,1,
1,1,4,4,1,2,2,2,1],[1,3,4,1,6,2,2,1,1,1,4,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,
2,2,2,4,1,1,1,4,1],[1,7,4,7,2,2,4,1,1,1,4,1],[1,5,2,4,1,1,1,6,4,2,1,1,1,2,2,
1],[1,3,4,2,2,1,2,1,1,2,4,4,1,1,1,2,2,1],[1,3,2,2,8,1,1,1,4,8,4,8,8,1,2,2,2,8,
1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,7,2,2,7,1,1,2,4,1,1,1,2,2,1],[1,1,2,2,2,8,1,1,
1,4,4,8,8,8,1,2,2,2,8,1],[1,3,4,4,1,6,6,2,1,1,1,4,1],[1,7,4,7,2,2,4,1,1,1,4,
1],[1,3,4,2,2,1,6,1,1,2,4,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,1,2,4,4,1,
2,1],[1,3,8,1,4,2,8,2,1,4,1],[1,5,2,4,1,1,1,4,2,2,4,1,1,1,2,2,1],[1,3,3,9,1,1,
3,3,9,6,3,9,1,3,2,3,6,1],[1,1,6,1,3,3,1,3,3,1],[1,3,12,1,3,3,16,12,2,3,3,1,6,
1],[1,1,2,1,3,3,1,3,3,1],[1,5,2,4,1,1,1,4,2,2,4,1,1,1,2,2,1],[1,3,1,2,2,2,1,1,
1,1],[1,3,1,2,4,1,2,1],[1,3,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,
4,4,1,2,4,1],[1,3,1,2,2,2,1,1,1,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,3,4,1,2,
6,2,1,1,1,1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,1,2,
2,2,1,1,1,4,4,1,2,4,1],[1,3,4,4,1,6,2,2,4,1,1,1,4,1],[1,3,4,1,2,4,4,1,2,4,1],[
1,1,2,1,1,2,3,1,1,1,2,2,1],[1,3,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,3,1,4,2,1,
2,1],[1,1,2,2,2,1,1,1,4,4,1,2,4,1],[1,1,2,2,2,2,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,
1,1,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,1,2,4,8,1,1,1,1,2,2,5,4,2,2,4,2,8,1,2,1,
1,2,2,2,4,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,4,1,2,1],[1,3,1,2,2,2,1,1,1,1],[1,
3,1,2,4,2,1,1],[1,3,4,2,6,1,3,1,1,3,2,8,4,4,8,1,1,1,2,4,2,2,2,1],[1,3,2,10,1,
1,2,2,2,1,4,6,6,4,6,1,2,1,1,2,2,2,4,1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,4,1,2,2,
2,4,4,1,2,1,1,2,1],[1,3,2,2,1,1,1,2,2,4,1,1,1,4,1],[1,3,1,2,2,2,1,1,1,1],[1,1,
6,4,1,3,2,1,4,4,1,2,1,1,2,1],[1,3,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,5,2,2,6,
1,1,1,1,1,4,2,4,8,8,4,1,1,1,2,2,2,2,4,1],[1,3,4,4,1,2,2,4,2,4,1,2,1,1,2,1],[1,
3,2,2,1,1,1,4,4,1,2,1],[1,3,1,2,2,2,1,1,1,1],[1,3,4,1,2,2,2,4,1,1,1,4,1],[1,1,
2,6,2,1,4,3,1,2,4,1,1,1,2,2,1],[1,3,4,1,2,2,4,2,1,1,1,1],[1,3,2,6,1,3,1,2,4,4,
1,1,2,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,1,2,2,4,2,1,1,
1,1],[1,1,6,4,1,4,2,2,2,4,1,1,1,4,1],[1,1,2,4,8,1,1,1,1,3,2,4,2,4,6,2,8,1,2,1,
1,2,2,2,4,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,5,2,4,1,1,1,4,2,2,4,1,1,2,1,2,1],[1,
3,2,2,1,1,1,4,4,1,2,1],[1,1,2,2,6,1,1,2,3,4,4,1,1,1,2,2,1],[1,3,4,1,2,2,2,4,1,
1,1,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,2,2,1],[1,5,2,1,1,1,4,2,2,1,1,1,1],[1,5,2,1,
1,1,4,2,2,1,1,1,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,3,
2,2,1,2,1,1,2,4,1,1,1,4,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,1,2,2,2,4,1,1,1,2,2,4,
4,1,1,1,2,2,1],[1,5,2,1,1,1,4,2,2,1,1,1,4,1],[1,3,4,4,1,2,4,2,2,4,1,1,1,2,2,
1],[1,1,2,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,2,2,2,2,2,1,1,1,1,1,1,1,4,4,1,
1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,6,2,2,1,1,1,4,2,2,4,1,1,1,
2,2,1],[1,3,2,2,1,1,1,2,2,4,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,4,2,2,1,2,1,1,
2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,3,1,2,4,4,1,1,2,1,2,1],[1,3,6,2,1,4,1,3,2,
4,1,1,1,2,2,1],[1,3,4,1,6,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,4,1,2,2,
2,4,1,1,1,1],[1,1,2,6,2,1,3,1,2,4,4,1,2,1,1,2,1],[1,3,2,4,2,1,1,1,2,1,4,1,4,1,
1,1,1,1,1,1,1],[1,1,2,4,1,1,2,2,1,4,1,1,1,2,2,1],[1,3,4,1,3,3,2,2,1,1,1,4,1],[
1,3,4,2,2,1,2,1,1,4,2,4,1,1,1,2,2,1],[1,5,2,1,1,1,4,2,2,1,1,1,4,1],[1,1,2,2,2,
1,1,1,4,4,1,2,1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,4,1,1,2,2,1,4,1,1,1,2,
2,1],[1,1,2,6,2,1,4,1,3,2,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,2,4,1,1,1,2,2,1],[
1,1,2,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,2,1,1,2,3,1,1,1,2,2,1],[1,5,2,4,1,
1,1,2,4,4,2,1,1,1,2,2,1],[1,3,4,4,1,6,2,2,4,1,1,2,1,2,1],[1,3,2,2,1,2,1,1,2,4,
1,1,1,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,
2,2,1],[1,3,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,1,2,2,6,1,
1,2,3,4,4,1,1,1,2,2,1],[1,5,10,1,1,4,7,8,14,1,1,1,2,2,2,6,1],[1,3,4,4,1,6,2,2,
4,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,2,4,1,1,1,2,2,1],[1,3,4,4,1,2,2,4,6,1,1,1,4,
1],[1,3,4,1,2,4,4,1,2,1],[1,3,2,4,2,1,1,1,6,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,
2,2,4,1,1,1,1],[1,1,6,4,1,4,3,2,1,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,4,1,1,1,
4,1],[1,1,2,8,1,4,2,4,4,1,1,1,2,2,1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,3,2,2,1,1,
1,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,2,2,1,
1,1,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,6,1,4,2,4,1,2,1],[1,3,4,1,2,4,4,1,2,
1],[1,1,2,4,1,2,4,4,1,2,1],[1,3,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,2,4,6,1,
1,1,2,1,1,2,2,4,8,8,4,1,1,1,2,2,2,4,2,1],[1,1,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,
8,2,1,4,3,1,2,2,2,1,1,2,1,2,1],[1,3,4,1,6,4,1,2,1],[1,1,4,2,4,1,1,1,2,2,2,2,4,
1,1,1,2,2,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,6,1,4,2,2,2,1,1,1,1],[1,1,2,2,4,2,
1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,2,2,4,1,1,1,4,1],[1,1,2,1,2,2,
2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,1,2,1,2,1],[1,1,2,8,1,3,2,
1,4,2,2,1,1,1,2,2,1],[1,1,6,1,2,2,2,2,2,1,1,1,1],[1,3,4,1,3,3,2,2,1,1,1,1],[1,
1,2,2,2,4,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,4,1,1,1,1],[1,
3,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,
2,4,4,1,2,2,4,4,2,1,1,1,4,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,10,3,
2,4,2,2,2,1,1,1,4,1],[1,3,8,1,4,2,4,4,1,1,2,1,2,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,1,6,4,3,2,2,1,1,1,1],[1,1,2,4,1,2,4,1,1,2,2,1,1],[1,1,2,4,2,6,
1,1,1,1,2,1,2,2,8,4,4,8,1,1,1,2,2,2,2,4,1],[1,2,1,1,11,1,2,1,3,1,2,5,6,8,3,2,
1,2,2,2,1,2,2,1,1,2,1],[1,1,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,2,1,5,7,1,2,1,1,2,5,
2,1,2,2,5,6,5,1,1,2,2,2,1,2,2,2,1],[1,3,4,1,2,2,2,1,2,1,1,1,1,1],[1,1,2,2,10,
1,1,2,2,1,2,8,2,6,4,2,4,1,2,2,2,1,1,2,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,
2,2,2,1,1,1,2,2,4,1,1,1,1],[1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,
2,2,2,1,1,1,1],[1,1,2,8,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,8,1,2,2,2,4,4,1,1,1,4,
1],[1,1,2,1,2,2,2,1,1,1,1],[1,3,4,2,2,1,6,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,
4,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,4,1,1,1,4,1],[1,1,2,2,2,1,
1,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,1],[1,1,4,2,1,1,1,2,2,2,2,
1,1,1,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,6,4,
4,3,2,2,4,1,1,1,4,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,2,2,1,1,1,1,1,
1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[
1,3,4,1,2,4,1,1,2,2,1,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,1,1,
2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,1,2,2,2,2,2,4,1,1,1,
4,1],[1,1,4,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,
4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,3,2,6,1,1,1,3,1,4,4,1,1,
1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,2,1,1,
1,1,1,2,1],[1,3,4,2,2,1,6,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,1,2,1,2,1],[1,3,4,4,
1,3,3,2,4,2,1,1,1,2,2,1],[1,1,2,1,3,1,2,1,1,1,1,2,1,1],[1,1,2,2,2,4,1,1,1,1,1,
2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,4,2,2,2,4,1,1,2,1,2,1],[1,3,4,4,1,6,2,2,4,1,
1,1,2,2,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,1,1,2,1,2,
1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,3,4,1,2,2,2,1,1,1,
2,2,1],[1,1,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,2,2,1,1,1,1,1,1,1,1,
1],[1,1,2,4,1,3,2,1,1,1,1,1,1,2,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,
1],[1,1,2,4,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,6,4,1,4,2,2,4,2,1,1,1,4,1],[1,1,
2,6,2,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,
1,2,4,1,2,2,2,4,1,1,1,1],[1,1,6,3,4,2,2,1,1,1,1],[1,3,2,2,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,3,2,6,1,1,1,3,1,4,4,1,1,
1,1,1,1,1,1],[1,3,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,2,1,4,
4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,1,6,4,4,3,2,2,2,2,1,1,1,4,1],[
1,1,2,2,6,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,1,3,4,4,1,1,1,1,1,1,
1,1],[1,1,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,1,5,1,1,2,2,1,2,2,1,1,1,1],[1,
1,2,2,6,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,2,1,1,3,4,1,1,2,2,1,2,2,2,2,1,2,1,1,
2,1],[1,3,4,4,3,1,3,2,4,2,1,1,2,1,2,1],[1,1,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,2,
1,3,2,1,1,1,1,3,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,
1],[1,1,1,5,1,2,2,1,1,2,2,1,1,1,1],[1,1,2,1,3,4,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,
1,1,1,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,1,
5,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,4,
3,4,1,1,3,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,2,2,6,
1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,1,5,4,1,1,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,
1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,1,5,4,1,2,2,1,1,2,2,
2,2,1,2,1,1,2,1],[1,2,5,2,2,1,1,1,2,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,3,
4,1,2,2,2,1,1,1,2,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,1,10,1,3,4,2,3,2,1,1,1,
2,2,1],[1,1,4,3,2,1,1,1,1],[1,1,6,1,3,3,2,2,1,1,1,1],[1,2,1,1,3,1,1,2,2,1,2,2,
1,1,1,1],[1,2,5,4,1,1,1,2,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,4,3,2,2,1,1,3,1,1,3,
1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,2,4,2,1,1,1,2,2,1],[1,1,3,3,4,1,1,2,1,1,
1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,3,4,1,1,1,1,3,1,3,2,2,1,1,1,1,1,1,1,1],[1,
1,3,2,1,1,1,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,3,4,3,1,3,2,2,1,1,1,
1],[1,1,2,1,5,2,1,1,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,1,2,2,3,2,1,1,
1,1],[1,1,2,3,3,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,1,3,3,2,2,
2,2,1,1,2,1,2,1],[1,1,2,2,1,3,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,
3,9,1,1,1,1,1,3,2,2,3,4,4,5,4,3,1,1,1,1,1,1,1,1,1,1,1,2,2,1],[1,1,5,5,1,1,1,1,
3,5,3,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,1,2,3,5,1,1,
1,1,2,3,1,2,3,1,1,1,1,1,1,1,1],[1,1,3,2,5,1,1,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[
1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,7,1,1],[1,1,1,
1],[1,7,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,4,3,
4,1,1,1],[1,7,4,7,4,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,
3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,
9,1,3,3,3,1,3,3,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,4,4,
1,6,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,4,3,4,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,1,3,3,4,1,1,1],[
1,1,3,3,4,1,3,3,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[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],[1,3,4,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,
1,1],[1,1,4,3,4,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,1,2,3,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,
1,1,2,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,
1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,12,1,1,3,3,4,1,3,1,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[
1,7,4,7,4,1,1,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,1,
1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,1,3,1,1,3,
3,1,1,1,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,13,18,3,2,9,15,42,24,60,1,6,6,9,15,6,8,24,32,48,1,3,3,
12,12,1],[1,9,6,4,12,3,2,3,9,6,6,18,12,24,24,24,24,1,6,9,3,6,6,6,6,8,8,24,24,
24,24,1,3,3,12,12,1],[1,9,8,6,1,7,3,4,28,12,12,1,14,3,3,4,6,8,12,1,1,1,6,6,
1],[1,3,4,12,1,6,12,6,6,1,3,3,12,12,1,3,3,1],[1,9,22,1,4,3,15,24,48,60,4,4,8,
6,3,18,24,16,12,60,1,3,3,12,12,1],[1,3,4,6,6,1,2,6,2,3,3,6,6,6,12,1,3,3,6,6,6,
6,1,3,3,1],[1,7,12,7,4,6,6,12,12,1,3,3,12,12,1,3,3,1],[1,3,12,4,1,4,6,12,18,6,
1,3,3,12,12,1,3,3,1],[1,7,6,6,7,2,2,3,3,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,9,
6,4,3,2,3,9,6,18,6,1,6,9,3,6,6,1,3,3,1],[1,3,4,6,6,12,1,2,6,2,3,3,6,6,6,12,12,
24,24,24,24,1,3,3,6,6,6,6,6,6,8,8,24,24,24,24,1,3,3,12,12,1],[1,3,4,12,1,16,
18,6,6,3,1,12,3,12,1,3,3,1],[1,9,4,6,3,2,3,9,6,6,18,6,1,9,6,3,6,1,3,3,1],[1,5,
2,4,12,1,1,1,6,6,4,4,12,16,8,8,1,1,3,4,2,2,2,8,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,
9,6,8,1,7,3,12,4,4,12,8,16,1,3,3,2,2,8,4,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,5,2,4,
4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,4,8,8,1,2,2,2,1],[1,9,6,8,1,7,3,4,12,8,12,4,8,
8,1,3,3,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,4,4,1],[1,9,6,3,2,3,9,18,4,4,6,9,2,2,2,
2,2,2,16,1,1,1,4,4,4,1],[1,9,6,1,7,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,5,2,12,
4,1,1,1,16,2,18,4,4,4,8,8,3,1,1,12,2,2,2,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,5,2,4,
4,1,1,1,2,6,4,8,4,8,8,1,1,1,2,2,4,8,8,2,1,2,2,1],[1,5,10,4,4,1,1,5,2,6,4,8,4,
16,4,8,8,1,2,2,1,1,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,4,4,1],[1,5,10,8,1,1,5,4,4,8,
4,8,16,8,8,2,2,1,2,2,2,2,2,2,2,8,8,16,1,1,1,4,4,4,1],[1,9,6,4,4,1,7,3,2,6,12,
4,4,12,8,8,1,1,3,3,1,2,2,2,2,2,8,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,9,6,1,7,3,8,
12,12,1,3,3,12,8,2,1,2,2,1],[1,3,2,12,6,1,1,1,16,18,3,3,12,12,3,1,12,3,3,3,3,
3,3,3,6,8,1,1,1,3,3,3,3,1],[1,3,4,1,6,6,6,1,3,3,1,3,3,1],[1,3,2,12,6,1,1,1,6,
3,12,3,16,12,12,3,1,4,8,3,3,3,3,3,3,3,6,8,1,1,1,3,3,3,3,1],[1,7,6,6,7,4,3,3,6,
4,12,1,1,1,3,3,2,3,6,3,6,6,3,3,3,6,1],[1,3,4,12,1,6,4,6,6,12,12,1,3,3,12,12,1,
3,3,1],[1,3,14,6,1,1,16,18,3,6,4,6,6,6,3,12,2,3,3,4,6,6,12,1,1,1,6,6,1],[1,7,
12,7,6,6,8,12,1,3,3,2,2,12,6,6,3,6,6,1],[1,5,2,8,1,1,1,4,4,4,4,8,1,2,2,2,2,4,
2,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,7,4,8,7,4,2,4,2,4,8,1,2,2,1,1,4,4,8,8,1,2,1,1,
2,1],[1,3,4,12,1,6,4,12,6,2,16,1,3,4,1,2,8,4,8,1,1,1,2,2,1],[1,3,6,6,4,1,2,2,
2,3,3,6,6,2,4,4,12,3,1,1,6,2,6,2,2,4,4,1,1,1,2,2,1],[1,5,2,4,20,1,1,1,4,6,2,4,
8,8,4,12,16,24,24,16,16,8,1,2,2,4,2,4,4,8,4,8,12,4,8,4,16,4,12,8,8,8,8,24,1,1,
1,2,4,2,8,4,8,1],[1,5,10,1,1,5,4,8,4,16,4,2,2,1,2,2,2,4,8,4,1,1,1,2,2,1],[1,3,
4,12,1,2,4,4,6,4,2,12,12,1,3,2,1,4,12,8,1,1,1,2,2,1],[1,3,2,10,8,1,2,1,1,4,4,
4,4,2,8,8,4,4,4,8,8,1,1,2,1,2,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,4,4,1],[1,3,4,4,1,
6,4,6,6,1,1,3,2,4,4,1,1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,4,8,
8,1,2,2,2,1],[1,5,2,8,16,1,1,2,1,2,4,8,4,4,10,14,8,8,16,12,20,24,16,1,1,1,4,2,
2,4,4,4,10,6,2,6,8,4,4,16,4,12,4,8,12,4,16,16,1,1,2,2,1,2,2,2,2,8,8,1],[1,5,2,
4,8,1,1,1,4,6,4,6,8,8,8,1,1,2,3,2,2,2,2,8,8,1,1,2,1,2,1],[1,5,2,1,1,1,4,8,4,1,
2,2,4,2,1,1,2,1,2,1],[1,5,2,1,1,1,4,4,4,4,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,4,10,
1,1,5,6,6,4,8,16,2,1,2,1,2,3,2,10,8,1,1,2,1,2,1],[1,9,6,4,3,2,3,9,18,2,2,4,4,
6,9,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,6,6,1,2,2,2,3,3,6,6,2,4,12,3,1,1,2,6,2,6,
2,2,2,8,8,1,1,1,2,2,4,4,1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,4,8,8,8,8,8,1,1,1,2,2,
2,2,2,2,2,2,4,8,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,3,12,4,1,4,2,12,4,4,18,2,3,1,
1,2,12,4,8,1,1,1,2,2,1],[1,5,4,2,1,1,1,2,6,4,4,4,1,1,2,2,2,1,2,2,2,1,1,1,2,2,
1],[1,5,10,4,1,1,5,4,8,2,2,16,4,4,2,2,1,1,1,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,
2,1,6,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,7,2,2,7,1,1,2,8,4,1,1,1,2,
4,2,2,2,2,1,1,1,2,1],[1,5,4,2,8,1,1,1,2,6,4,4,8,8,4,8,1,1,2,2,1,2,2,2,2,8,8,1,
1,1,2,2,1],[1,5,2,1,1,1,4,4,8,1,2,2,2,4,1,2,2,2,1],[1,3,4,4,1,2,2,4,4,2,4,4,1,
2,1,1,2,4,4,1,1,1,2,2,1],[1,5,2,4,1,1,1,2,4,6,4,4,1,1,2,2,3,2,2,2,1,1,1,2,2,
1],[1,3,4,4,1,6,6,10,1,1,5,4,4,1,1,2,2,1,1],[1,5,10,1,1,5,4,8,4,16,4,2,2,1,2,
2,2,8,8,1,1,1,2,2,1],[1,5,2,8,1,1,1,4,4,4,8,4,8,8,1,2,2,2,2,2,8,8,1,1,1,2,2,
1],[1,5,2,8,1,1,1,4,4,4,8,4,8,8,1,2,2,2,2,2,4,4,8,1,1,1,2,2,1],[1,3,4,2,10,4,
1,6,1,1,4,4,2,4,4,8,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,2,2,4,4,
1],[1,5,2,12,1,1,1,6,4,2,12,4,8,8,1,3,2,1,2,2,2,2,8,8,1,2,1,1,2,1],[1,3,4,2,2,
1,2,1,1,2,4,4,4,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,2,4,1,1,1,4,4,2,2,4,4,1,
1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,10,8,1,1,5,4,8,4,16,4,8,16,2,2,1,2,2,2,4,8,
4,4,8,4,8,1,1,1,2,2,4,4,1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,4,8,8,8,8,8,1,1,1,2,2,
2,2,4,2,2,2,2,4,4,8,4,8,1,1,1,2,2,2,2,2,2,1],[1,5,2,8,1,1,1,4,4,4,4,8,1,2,2,2,
2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,9,6,4,3,2,3,9,2,18,2,4,4,6,9,1,2,1,2,2,4,4,
1,1,1,2,2,1],[1,5,2,8,1,1,1,4,4,8,8,1,2,4,2,2,4,4,8,4,4,1,1,1,2,2,4,4,1],[1,5,
10,4,1,1,5,6,4,8,2,16,4,1,2,2,1,2,1,2,2,2,8,8,1,1,1,2,2,1],[1,5,4,2,4,1,1,1,2,
6,4,4,2,2,4,1,1,2,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,2,10,4,
1,2,1,1,4,4,2,4,4,8,4,4,4,4,1,2,1,1,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,7,2,10,7,1,
1,4,4,2,4,4,8,4,4,4,1,1,2,1,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,10,1,2,1,1,4,
4,6,4,4,8,4,4,4,1,1,2,3,2,2,2,2,8,8,1,1,2,1,2,1],[1,5,2,4,1,1,1,6,4,2,8,1,1,4,
2,1,2,2,2,1,2,1,1,2,1],[1,3,4,4,8,1,4,6,4,8,6,2,1,1,2,1,2,4,4,8,8,1,1,2,1,2,
1],[1,3,4,6,6,1,2,2,2,3,3,6,6,2,4,4,12,1,3,1,2,6,6,2,2,4,4,1,1,1,2,2,1],[1,7,
4,8,7,2,2,4,4,2,2,4,4,8,8,1,2,1,2,1,4,4,4,4,4,4,1,1,2,1,2,1],[1,7,4,7,4,2,2,4,
4,1,6,1,1,2,4,1,1,1,2,2,1],[1,5,2,1,1,1,4,4,4,4,1,2,2,2,2,2,1,1,1,2,2,1],[1,9,
6,1,7,3,12,4,12,4,1,3,3,2,2,8,8,1,1,1,2,2,1],[1,7,8,4,1,2,2,6,12,4,4,14,2,1,1,
2,1,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,7,2,2,4,7,4,1,1,2,2,2,4,4,1,1,1,1,6,1,2,2,2,
2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,7,4,7,2,2,8,4,1,1,1,4,4,4,2,1,1,1,2,1],[1,
3,4,4,2,2,8,1,2,2,6,1,1,2,4,4,8,4,16,8,8,1,1,1,2,1,1,2,2,4,4,2,2,2,2,4,8,4,8,
1,1,1,1,1,1,1,4,4,1],[1,3,4,2,10,1,6,1,1,4,4,4,2,4,8,4,4,4,1,1,1,2,2,2,2,2,2,
8,8,1,1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,12,8,1,2,2,2,1],[1,
5,2,8,4,1,1,1,4,4,4,2,8,2,8,8,4,1,2,1,1,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,5,10,4,
1,1,5,2,4,8,6,4,16,2,2,1,1,3,2,2,2,8,8,1,1,2,1,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,
4,4,8,8,1,1,1,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,2,8,1,2,1,1,2,4,4,4,8,4,8,8,1,
1,2,1,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,7,8,4,1,2,2,2,12,4,4,14,6,1,2,1,3,4,4,4,4,
4,4,1,1,1,2,2,1],[1,3,2,2,12,1,2,1,1,6,4,12,4,8,8,1,3,1,2,2,2,2,2,8,8,1,1,1,2,
2,1],[1,7,2,2,8,7,1,1,2,4,4,8,4,8,8,1,1,2,2,1,2,2,2,2,8,8,2,1,1,1,2,1],[1,7,8,
4,7,28,2,2,4,4,1,14,1,1,2,4,8,1,1,1,2,2,1],[1,3,2,2,4,1,2,1,1,4,2,4,4,4,1,1,1,
2,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,1,2,4,4,6,6,1,1,3,2,4,4,1,1,1,2,2,1],[1,3,4,
4,1,2,4,2,4,4,2,4,1,2,2,1,1,4,4,1,1,1,2,2,1],[1,3,4,4,8,1,2,4,4,2,4,2,4,8,16,
1,2,2,1,1,4,4,8,8,1,1,1,2,2,1],[1,3,4,4,8,1,2,2,2,4,2,4,6,4,4,8,8,1,2,1,3,4,4,
4,4,4,4,1,2,1,1,2,1],[1,5,2,4,4,1,1,1,2,6,4,8,4,1,1,1,2,4,2,4,4,2,2,2,4,2,4,1,
1,1,1,1,1,1,4,4,1],[1,5,2,16,1,1,1,8,4,16,4,16,8,8,1,4,4,2,2,2,8,4,4,4,8,8,1,
1,2,1,2,4,4,1],[1,7,8,2,2,4,7,28,1,1,2,2,2,4,4,8,8,1,14,1,1,1,1,2,2,2,2,2,2,4,
4,4,8,1,1,1,1,1,1,1,4,4,1],[1,3,4,2,2,4,1,6,1,1,4,2,4,4,4,8,8,1,1,2,1,2,2,2,8,
8,1,1,2,1,2,1],[1,5,2,1,1,1,4,4,8,1,4,2,2,2,1,1,1,2,2,1],[1,3,4,4,8,1,2,4,2,4,
2,4,4,8,1,2,1,1,2,4,4,8,8,1,1,1,2,2,1],[1,5,2,4,4,1,1,1,4,2,6,4,4,4,8,8,1,1,1,
2,2,2,2,8,8,1,1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,8,4,8,1,2,2,
2,1],[1,9,6,1,7,3,12,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,3,2,2,1,2,1,1,6,4,4,1,3,1,
2,2,2,1,1,2,1,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,4,8,8,1,1,1,2,2,2,2,8,8,1,1,1,2,
2,1],[1,3,4,4,1,2,8,4,6,2,1,1,1,4,4,4,1,2,1,1,2,1],[1,3,4,2,2,4,1,6,1,1,2,4,4,
4,4,8,8,1,1,1,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,2,2,1,2,1,1,4,2,4,4,1,1,1,2,2,2,2,
1,1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,4,8,8,1,2,2,2,1],[1,5,2,
4,4,1,1,1,2,6,4,4,8,8,8,1,1,1,2,2,4,8,8,1,2,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,
6,4,2,4,2,4,8,8,8,8,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,
1,2,2,2,2,1],[1,3,4,2,2,8,1,6,1,1,4,4,2,8,4,8,8,1,1,1,2,2,2,2,2,2,8,8,2,1,1,1,
2,1],[1,3,4,4,2,2,1,2,2,6,1,1,2,4,4,4,1,1,1,2,1,1,2,4,4,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,4,4,1],[1,3,4,1,3,3,6,6,1,3,3,12,3,1],[1,3,4,6,18,1,1,3,3,3,3,3,6,9,9,6,
24,12,18,18,12,24,1,3,3,4,4,6,3,3,3,3,8,6,12,12,6,6,6,6,6,6,12,24,12,1,3,3,3,
3,3,3,6,6,1],[1,3,2,6,1,1,1,6,3,3,1,3,4,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,
3,2,10,1,1,2,2,2,1,4,4,6,6,4,6,4,1,2,2,1,1,4,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,
4,8,8,1,1,1,1,2,2,5,4,4,2,2,4,2,8,4,8,8,8,1,2,1,2,2,1,2,2,2,2,2,4,4,4,8,4,8,1,
1,1,2,2,4,4,1],[1,3,4,4,4,1,6,4,2,2,2,2,4,4,1,1,1,1,2,1,4,4,4,4,1,1,1,1,1,1,1,
1],[1,3,6,2,1,4,1,3,2,4,4,4,1,1,2,2,2,1,2,2,2,1,1,1,2,2,1],[1,3,4,8,1,2,4,2,4,
2,4,8,2,1,1,2,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,2,4,1,1,2,4,2,2,4,1,1,1,
2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,2,1,4,1,3,2,4,4,4,1,1,2,1,2,2,2,1,1,1,
1],[1,3,4,1,2,2,2,2,2,4,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,4,4,2,4,
4,1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,1,6,4,8,1,4,2,4,2,2,4,8,4,1,1,1,2,4,2,4,8,8,
1,1,1,2,2,1],[1,3,2,2,1,2,1,1,2,2,6,4,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,
1,2,2,2,2,2,4,4,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,4,2,4,1,1,1,
4,4,1,2,1],[1,5,2,2,6,1,1,1,1,1,4,2,2,4,6,8,8,4,1,1,1,1,2,2,3,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,3,4,4,1,2,4,2,2,2,2,4,4,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,3,
6,10,1,2,2,5,3,6,6,2,4,12,4,1,3,6,6,2,1,2,2,4,4,1,1,1,2,2,1],[1,3,4,8,1,4,2,8,
6,6,1,2,3,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,4,1,2,2,6,2,2,2,4,2,4,1,1,1,1,1,
1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,2,2,2,2,4,4,1,1,1,1,2,1,4,4,1,1,1,
1,1,1,1,1],[1,7,8,8,1,2,2,4,12,4,2,8,14,2,8,8,1,2,2,1,1,2,2,4,4,2,2,2,4,2,4,8,
4,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,12,1,2,6,4,6,8,8,4,1,2,1,2,1,2,2,4,6,8,6,1,2,
4,2,4,2,1],[1,3,4,4,4,1,2,4,2,2,2,4,2,4,4,1,1,2,1,1,1,4,4,4,4,1,1,1,1,1,1,1,
1],[1,5,2,4,1,1,1,2,4,6,4,4,1,1,2,3,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,4,4,8,4,1,6,
2,2,4,2,2,2,2,4,4,4,8,8,8,8,1,2,1,1,1,1,2,2,2,2,4,2,4,2,4,4,8,4,4,1,1,1,1,1,1,
1,4,4,1],[1,3,4,4,1,2,2,4,2,4,8,1,1,1,4,4,1,2,1],[1,3,4,2,10,1,2,1,1,4,4,2,4,
4,4,8,4,4,4,1,1,2,1,2,2,2,2,4,2,4,8,1,1,1,1,1,1,1,1],[1,3,6,2,1,4,1,3,6,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,1,6,2,2,1,1,1,4,4,2,2,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,
1],[1,3,6,10,1,4,1,3,4,4,2,4,4,8,4,4,4,1,1,2,1,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,
3,4,2,2,4,1,2,1,1,2,2,6,4,4,4,1,2,1,1,2,5,1,2,1,1,1,2,1,2,2,2,4,2,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,2,2,4,1,1,1,4,4,2,2,4,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[
1,5,2,4,1,1,1,2,4,2,4,8,1,1,4,1,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,2,6,1,3,1,2,4,4,
4,4,1,1,2,2,2,2,1,2,2,1,1,1,2,2,1],[1,3,12,4,1,2,4,2,6,2,2,12,4,12,1,1,1,3,1,
12,4,4,4,1,1,1,1,1,1,1,1],[1,5,2,8,4,1,1,1,4,4,2,8,2,8,8,4,4,1,2,2,2,1,2,1,2,
8,2,8,1,1,1,2,2,1],[1,3,2,2,4,1,2,1,1,4,2,4,4,4,1,1,1,2,2,2,4,2,4,1,1,1,1,1,1,
1,1],[1,1,2,4,8,1,1,1,1,2,2,5,4,4,2,2,4,2,8,4,1,2,1,2,2,1,2,2,2,2,2,4,4,1,1,1,
2,2,1],[1,5,2,2,6,1,1,1,1,1,4,6,2,2,4,8,8,4,1,1,2,2,1,3,1,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,3,4,4,1,6,6,2,1,1,1,4,4,1,2,1],[1,5,2,4,8,1,1,1,4,6,4,2,8,4,8,8,1,
1,2,2,2,2,1,2,2,4,4,8,1,1,1,1,1,1,1,1],[1,7,2,2,7,1,1,2,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,3,6,6,4,1,2,2,3,3,6,6,2,2,12,4,4,3,6,6,1,1,2,2,2,4,4,1,1,1,2,2,1],[
1,3,2,2,12,1,1,1,6,2,8,4,4,8,8,4,1,2,2,2,1,1,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,4,
4,1,2,2,2,2,4,4,2,4,4,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,8,8,1,2,2,2,
4,4,2,2,4,8,4,8,8,8,8,2,2,1,1,1,2,2,2,2,4,2,4,2,4,8,4,4,4,1,1,1,1,1,1,1,4,4,
1],[1,3,2,2,1,2,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,7,4,4,7,2,2,2,2,4,4,
4,1,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,2,1,1,2,2,6,4,1,1,1,1,2,3,2,
1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,2,2,4,4,4,4,1,2,2,2,1,1,2,2,2,1,1,1,2,2,1],[
1,7,2,2,7,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,6,6,4,1,2,2,3,3,6,6,2,2,12,
4,4,3,6,6,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,12,4,1,6,12,16,2,2,4,4,3,4,8,1,1,2,
2,2,8,1,1,1,2,2,1],[1,3,2,2,4,1,1,1,2,2,4,4,4,4,1,2,2,2,1,1,2,2,2,1,1,1,2,2,
1],[1,3,4,4,1,6,2,4,6,4,1,1,2,3,4,4,1,1,1,1,1,2,1],[1,3,6,6,1,1,6,3,6,4,4,6,6,
6,1,2,2,3,4,3,6,6,1,1,1,2,2,1],[1,3,2,2,4,1,2,1,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,
1,1],[1,1,2,2,2,4,1,1,1,4,2,2,4,4,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,5,4,2,2,
6,4,1,1,1,2,6,1,1,4,2,2,4,2,8,4,8,4,8,8,1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,8,
4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,2,2,12,1,1,1,4,4,2,2,4,8,4,8,8,1,1,2,2,1,2,
2,2,2,8,8,1,1,1,2,2,1],[1,3,2,4,6,1,1,1,6,4,3,3,4,4,1,1,2,1,1,1,4,3,1,1,1,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,8,1,4,6,8,6,2,1,2,1,3,4,4,8,1,1,
1,1,1,2,1],[1,3,4,4,1,6,2,2,2,2,4,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,5,10,
1,1,4,7,8,4,14,4,1,1,2,1,2,2,2,4,6,2,4,1,1,1,2,2,1],[1,5,10,8,1,1,4,7,8,4,14,
8,16,4,1,1,2,1,2,2,2,4,6,2,8,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,4,4,1,2,4,4,6,6,1,
1,3,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,4,1,2,6,2,4,6,6,1,1,1,3,1,4,4,4,4,1,1,1,1,
1,1,1,1],[1,5,2,4,1,1,1,2,4,6,4,4,1,1,2,3,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,6,8,
1,3,1,2,4,4,8,4,4,8,8,1,1,2,2,2,2,1,2,2,8,8,1,1,1,2,2,1],[1,3,6,2,4,1,2,4,1,3,
2,2,4,4,4,1,1,1,1,4,1,1,2,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,
4,2,6,1,3,1,1,3,2,4,8,4,4,8,4,1,1,1,2,2,2,2,4,2,2,2,2,4,1,1,1,2,2,1],[1,3,4,2,
6,8,1,3,1,1,3,4,2,8,4,4,8,8,4,8,8,1,1,1,2,2,2,2,4,2,2,2,2,4,4,8,4,8,1,1,1,2,2,
4,4,1],[1,7,8,4,4,1,2,2,2,6,12,4,2,4,14,2,8,8,1,1,2,1,2,2,1,1,4,4,2,2,2,4,4,2,
8,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,2,10,1,2,1,1,4,4,4,2,4,8,4,4,4,1,1,1,2,2,2,2,
4,4,8,1,1,1,1,1,1,1,1],[1,3,4,6,6,1,2,4,3,3,6,4,4,4,8,1,1,1,1,2,2,1,2,3,4,2,4,
3,2,6,1,1,2,2,1,2,2,4,1],[1,3,4,6,2,4,1,6,4,1,3,2,2,4,4,8,4,1,1,1,1,2,1,2,2,1,
4,1,2,2,2,4,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,5,2,2,6,4,1,1,1,1,1,4,2,2,4,4,2,8,
4,8,4,1,1,2,1,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,2,2,6,4,1,1,1,4,1,
1,4,2,2,4,2,8,4,8,4,1,1,1,2,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,2,4,
4,1,1,1,2,6,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,6,4,1,6,3,
1,2,2,4,4,4,8,4,1,1,1,1,1,1,4,2,2,2,1,2,2,2,2,2,4,2,2,1,1,1,2,2,2,2,2,2,1],[1,
5,10,4,1,1,5,2,4,8,2,4,16,4,2,2,1,1,2,1,2,2,8,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,6,
8,1,2,3,1,2,4,2,4,4,4,8,4,1,1,1,1,1,4,2,1,2,2,2,1,2,2,2,2,2,4,2,1,1,2,1,2,2,2,
2,2,1],[1,7,4,7,2,2,4,8,1,1,1,4,4,1,2,1],[1,5,2,4,1,1,1,2,4,6,4,4,1,1,2,2,3,2,
2,2,1,1,1,1,1,1,1,1],[1,3,6,2,1,4,1,3,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,4,
8,1,2,4,2,4,2,4,8,16,4,1,2,1,1,4,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,2,4,1,6,1,1,
2,4,4,4,4,8,8,1,1,1,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,2,1,6,1,1,2,4,4,4,1,1,1,
2,2,2,2,1,1,1,1],[1,3,2,2,4,1,1,1,4,2,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,4,
4,1,2,6,6,4,6,2,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,8,4,6,2,1,1,1,
4,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,4,2,2,4,2,4,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,3,
4,2,2,1,2,1,1,2,4,2,6,4,1,1,1,1,3,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,2,1,1,
2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,2,6,4,4,
4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,1,2,2,4,4,2,4,2,1,1,2,1,1,1,1,1,1,1,1,1],[1,3,
4,4,1,2,4,4,2,2,4,4,1,2,1,1,4,2,2,2,1,1,1,2,2,1],[1,3,2,4,6,1,1,1,2,4,3,4,3,4,
4,1,1,2,1,3,1,1,1,1,4,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,4,4,
1,6,2,2,2,2,4,4,4,1,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,2,4,2,
4,4,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,2,4,6,2,4,4,8,8,1,1,1,2,2,2,
2,2,4,2,4,4,4,4,1,2,2,2,4,4,1],[1,1,2,2,6,2,10,1,1,1,4,1,3,2,5,1,4,8,12,8,16,
1,1,3,1,1,4,1,1,2,1,1,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,
4,4,1,1,1,2,6,2,4,2,2,4,2,4,8,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,2,2,2,2,2,1],[1,7,2,2,7,4,1,1,2,4,4,1,1,6,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,5,2,
4,8,1,1,1,2,4,2,4,4,4,4,4,8,1,1,1,1,1,2,1,4,1,2,2,2,2,2,2,2,2,4,2,1,1,2,1,2,2,
2,2,2,1],[1,3,4,4,1,2,4,6,2,8,1,1,1,4,4,1,2,1],[1,5,2,1,1,1,4,2,2,2,6,1,1,1,1,
3,4,4,1,1,1,1,1,1,1,1],[1,9,6,4,1,7,3,12,2,2,12,4,4,1,3,3,1,1,8,2,2,4,2,4,1,1,
1,1,1,1,1,1],[1,3,4,4,1,2,4,6,2,1,1,1,4,4,1,2,1],[1,5,2,4,1,1,1,2,4,2,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,3,2,2,1,2,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,
4,4,4,1,2,2,2,2,4,6,4,4,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,8,1,2,1,
1,2,4,4,4,4,8,4,4,1,1,1,4,2,1,2,1,2,1,2,1,2,2,2,2,2,2,4,1,1,2,1,2,2,2,2,2,1],[
1,3,2,2,4,1,1,1,2,2,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,2,6,1,3,1,2,4,4,4,4,1,
1,2,2,1,2,2,1,1,1,1],[1,3,6,2,8,1,2,4,1,3,2,4,2,4,4,4,8,1,1,1,1,2,2,1,2,1,4,1,
2,2,2,2,2,4,2,2,1,1,1,2,2,2,2,2,2,1],[1,3,2,6,1,3,1,6,4,4,4,1,1,2,2,1,2,2,1,1,
1,1],[1,3,4,8,1,2,2,2,4,2,6,4,4,8,8,2,1,1,2,3,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,
2,2,4,1,1,1,2,6,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,8,8,1,1,1,1,3,2,4,4,2,4,
6,2,8,4,8,8,8,1,2,1,2,2,2,1,2,2,2,2,4,4,8,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,4,8,1,
1,1,1,3,2,4,4,2,4,6,2,8,4,1,2,1,2,2,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,3,2,2,4,1,
1,1,2,2,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,5,2,1,1,1,4,4,8,1,4,2,4,4,1,1,1,2,1,
1,1],[1,7,4,7,2,2,4,1,1,1,4,4,1,2,1],[1,3,2,2,4,1,2,1,1,2,4,4,4,4,1,1,1,2,2,2,
2,1,1,1,1],[1,9,6,2,6,1,7,3,1,1,12,2,2,12,2,4,8,8,4,1,3,3,1,1,1,1,8,2,2,2,4,2,
2,2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,6,2,8,1,6,4,1,3,2,4,2,4,4,8,16,12,1,
1,1,1,4,3,1,1,2,2,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,2,2,4,
1,6,1,1,2,4,4,4,4,8,8,1,1,1,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,2,4,1,2,1,1,2,4,
2,6,4,4,1,1,1,1,2,3,2,2,4,2,4,2,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,8,1,2,2,4,2,
2,2,4,8,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,2,18,1,1,6,2,2,1,12,16,6,6,
4,6,4,3,4,8,2,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,5,2,4,1,1,1,4,4,4,2,2,
4,1,2,2,1,2,1,2,1,1,1,1],[1,5,2,4,1,1,1,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
5,2,4,1,1,1,4,4,2,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,2,6,1,1,1,1,1,4,2,2,6,4,
8,8,4,1,1,2,2,1,1,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,1,4,6,4,2,4,1,1,
2,1,2,2,2,1,1,1,1],[1,3,4,4,1,2,2,2,2,4,2,4,4,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,3,4,4,1,2,4,2,2,2,4,2,4,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,6,2,2,8,1,
1,1,4,4,2,2,4,8,4,8,8,1,1,1,2,2,2,2,2,2,8,8,1,1,1,2,2,1],[1,3,4,2,2,12,1,2,1,
1,2,6,2,4,8,4,20,8,8,1,1,2,1,2,1,2,5,1,1,2,1,1,2,4,2,2,2,8,2,8,1,1,1,1,1,1,1,
2,2,2,2,1],[1,3,2,2,4,1,2,1,1,2,4,4,4,4,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
3,4,2,2,4,1,2,4,1,1,2,4,2,2,4,4,1,1,1,2,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,
10,1,1,5,4,8,16,8,2,2,1,2,8,4,8,1,2,2,2,1],[1,3,2,2,4,1,1,1,2,2,4,4,4,4,1,2,1,
1,2,2,2,1,1,1,1],[1,3,4,4,4,4,1,2,2,6,2,2,2,4,2,4,4,1,1,1,1,1,1,1,4,4,4,4,4,4,
1,1,1,1,1,1,1,1],[1,3,2,6,1,3,1,2,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,2,2,4,1,
2,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,4,1,2,2,6,
2,4,2,4,4,1,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,4,2,4,8,1,1,1,4,
4,1,2,1],[1,5,2,4,1,1,1,4,2,4,2,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,2,6,8,1,6,3,
1,2,4,2,4,4,4,16,8,12,1,1,1,1,2,2,2,4,3,1,1,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,2,2,6,10,1,1,1,3,1,2,5,1,4,4,8,12,16,8,1,1,1,2,2,2,1,1,2,3,
4,1,1,1,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,2,6,4,1,2,3,1,2,2,4,4,4,
4,1,1,1,1,2,2,4,2,1,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,6,2,
2,1,1,1,4,1,3,2,1,5,4,4,1,1,1,3,1,2,1,1,1,4,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,3,2,2,8,1,2,1,1,2,4,2,2,8,4,8,8,1,2,1,1,1,1,2,2,4,4,8,1,1,1,1,1,
1,1,1],[1,3,4,8,1,3,3,2,4,2,8,4,1,1,1,2,4,2,4,4,4,1,1,1,2,2,1],[1,3,10,6,1,2,
2,4,3,5,6,6,2,4,12,1,3,6,6,1,2,4,2,2,4,1,1,1,2,2,1],[1,3,4,4,1,6,6,2,8,1,1,1,
4,4,1,2,1],[1,3,6,2,1,4,1,3,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,4,4,1,6,6,2,8,
1,1,1,4,4,1,2,1],[1,3,2,6,1,3,1,2,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,4,1,6,6,
6,1,3,3,1,1,1,1,1,2,1],[1,1,2,2,2,6,2,1,1,1,3,1,2,1,5,4,4,4,1,1,1,2,1,3,2,2,2,
1,1,1,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,2,4,1,1,1,4,2,2,4,4,4,1,2,
2,1,2,1,2,1,1,1,1],[1,7,4,7,2,2,8,4,1,1,1,4,4,2,1,1],[1,5,2,1,1,1,4,8,4,1,2,4,
4,4,1,1,2,1,1,1,1],[1,3,4,2,2,1,2,4,1,1,2,4,4,4,1,1,2,1,2,2,2,4,4,1,1,1,1,1,1,
1,1],[1,9,6,4,3,2,3,9,18,2,2,4,4,6,9,1,2,1,2,2,4,4,1,1,1,2,2,1],[1,7,4,4,7,4,
2,2,2,2,4,4,1,1,1,6,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,5,4,2,2,6,1,1,1,2,6,1,1,4,2,
2,4,2,8,8,4,1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,2,
1,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,2,6,1,1,1,4,1,1,4,2,2,4,2,8,8,4,1,
1,1,2,1,2,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,2,1,1,2,4,4,4,1,1,1,2,2,
4,4,1,1,1,1,1,1,1,1],[1,3,12,4,1,16,18,2,2,4,4,3,12,1,1,2,2,2,8,1,1,1,2,2,1],[
1,3,4,2,2,1,6,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,4,2,4,4,1,1,1,2,6,6,4,2,
2,2,4,8,1,1,1,2,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,4,
2,1,1,1,2,6,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,2,2,4,1,1,1,2,2,4,4,4,4,1,2,1,1,
2,2,2,1,1,1,1],[1,3,2,2,1,2,1,1,2,4,2,2,4,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,
7,8,1,2,2,12,4,2,14,6,1,2,3,2,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,12,1,2,
1,1,6,4,2,2,12,4,16,8,8,1,1,3,1,1,2,4,2,2,2,4,2,8,2,4,8,4,1,1,1,1,1,1,1,4,4,
1],[1,3,4,1,3,3,2,4,2,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,3,4,4,1,2,2,2,2,4,6,4,1,
1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,7,8,4,1,2,2,2,12,4,4,4,14,2,1,2,1,1,2,4,4,2,2,
2,4,2,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,6,1,1,2,4,2,2,4,1,1,2,1,1,1,2,2,4,4,1,1,
1,1,1,1,1,1],[1,3,6,2,8,1,4,1,3,2,4,8,4,4,8,8,1,1,2,1,2,2,2,2,2,8,8,1,1,1,2,2,
1],[1,3,2,2,12,1,1,1,6,2,4,8,4,8,8,4,1,2,1,2,2,1,2,2,2,8,8,1,1,1,2,2,1],[1,3,
4,4,1,2,4,6,2,8,1,1,1,4,4,1,2,1],[1,3,4,4,2,2,4,1,2,2,6,1,1,2,4,2,2,4,4,8,8,1,
1,1,1,1,1,1,2,4,2,2,2,8,4,1,1,1,1,1,1,1,1],[1,3,2,14,1,3,1,4,4,2,4,4,8,4,4,4,
4,1,1,2,2,2,2,1,2,2,8,8,1,1,1,2,2,1],[1,3,2,10,4,1,2,1,1,4,4,2,4,4,8,4,4,4,4,
1,1,1,2,2,2,2,2,2,8,4,4,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,1,4,2,2,2,6,4,1,1,1,1,3,
2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,12,1,1,1,4,2,2,4,4,8,4,8,8,1,1,2,1,2,2,2,
2,2,8,8,1,1,1,2,2,1],[1,3,4,4,8,1,2,2,2,4,4,2,4,2,4,4,8,8,1,2,1,2,1,2,2,2,4,4,
2,4,4,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,1,4,2,2,4,4,4,1,2,2,2,1,2,1,2,2,1,1,1,2,2,
1],[1,5,2,4,1,1,1,4,4,2,2,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,3,4,2,2,1,2,1,1,6,4,2,
2,4,1,1,3,1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,5,2,2,6,8,1,1,1,1,1,4,4,2,2,4,2,8,8,
8,4,8,8,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,4,4,8,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,
4,1,6,4,2,2,4,4,1,2,1,4,1,2,2,2,1,1,1,2,2,1],[1,5,4,2,4,1,1,1,2,6,4,2,2,2,2,4,
1,1,2,1,1,1,1,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,4,1,2,2,2,2,4,2,4,4,4,1,1,
1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,5,2,8,1,1,1,4,4,8,8,8,8,1,2,2,2,4,8,8,1,2,
2,2,1],[1,3,4,2,2,8,1,6,1,1,2,4,2,2,8,4,8,8,1,1,2,1,1,1,2,2,2,4,2,4,8,1,1,1,1,
1,1,1,1],[1,3,2,2,1,2,1,1,4,2,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,
1,6,4,6,4,1,1,2,3,4,2,2,4,1,1,1,1,1,1,1,1],[1,5,2,1,1,1,4,4,1,2,2,2,4,1,2,2,2,
1],[1,3,4,1,2,2,2,2,2,4,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,1,6,4,2,4,
4,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,4,1,1,1,4,2,2,4,2,2,4,1,2,1,1,1,1,2,2,4,4,1,1,
1,1,1,1,1,1],[1,7,2,2,8,7,1,1,2,4,4,8,4,4,4,1,1,2,2,1,1,1,2,1,1,2,2,2,2,2,2,2,
8,2,1,1,1,2,2,2,2,2,1],[1,5,2,4,8,1,1,1,6,4,2,4,4,4,4,8,1,1,1,1,1,2,1,2,4,1,2,
2,2,2,2,2,4,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,2,1,1,1,4,4,2,2,2,2,1,1,2,1,1,1,4,4,
1,1,1,1,1,1,1,1],[1,3,4,4,1,2,2,2,2,2,4,4,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[
1,5,2,8,1,1,1,4,4,4,8,4,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,4,1,1,1,
4,2,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,7,2,2,4,7,1,1,2,2,2,4,4,4,1,1,1,1,1,2,2,
2,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,4,8,1,2,2,2,4,2,4,2,4,4,8,8,2,2,1,1,1,2,2,4,4,
4,4,1,1,1,1,1,1,1,1],[1,3,4,4,2,2,1,2,2,6,1,1,2,4,2,2,4,1,1,1,1,1,1,1,4,2,2,2,
2,4,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,1,4,4,2,2,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,5,2,
4,1,1,1,4,4,2,2,4,4,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,2,6,4,1,1,1,1,1,
4,2,2,4,6,8,4,8,4,1,1,1,1,2,3,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,10,4,1,
1,5,4,8,2,2,16,4,4,2,2,1,2,1,2,1,8,2,2,8,1,1,1,2,2,1],[1,3,4,4,8,1,6,6,2,4,4,
8,8,1,1,1,2,2,4,2,4,2,2,2,4,4,4,1,2,2,2,4,4,1],[1,5,2,8,4,1,1,1,4,4,2,8,2,8,4,
8,4,1,2,1,1,2,2,2,2,8,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,2,1,1,2,4,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,3,4,4,8,1,2,2,4,2,2,4,2,4,8,16,1,1,2,1,1,1,4,8,4,4,4,1,
1,1,1,1,1,1,1],[1,5,4,2,1,1,1,2,6,4,2,2,2,2,1,1,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,
1,1],[1,3,2,10,4,1,1,1,4,4,2,4,2,8,4,4,4,4,4,1,2,1,1,2,2,2,2,2,8,8,1,1,1,2,2,
1],[1,5,10,2,6,1,1,5,1,1,4,8,2,2,16,2,4,8,8,4,2,2,1,1,1,1,1,2,2,2,2,2,2,8,4,2,
2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,5,2,8,1,1,1,4,2,4,2,2,2,8,1,1,2,1,1,1,2,2,2,
4,2,4,1,1,1,1,1,1,1,1],[1,3,2,10,4,1,1,1,4,4,2,4,2,8,4,4,4,4,4,1,2,2,1,2,1,2,
2,2,8,8,1,1,1,2,2,1],[1,5,2,4,1,1,1,4,4,2,2,2,2,4,1,1,2,1,1,1,4,2,2,4,1,1,1,1,
1,1,1,1],[1,5,4,2,1,1,1,2,6,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,8,1,2,2,12,4,6,
14,2,1,2,1,2,3,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,4,2,6,4,1,1,2,3,1,2,1,1,
1,1,1],[1,1,2,2,2,4,1,1,1,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,12,1,2,2,
4,4,2,4,4,4,8,8,4,2,1,1,2,4,1,4,2,4,2,4,4,1,1,1,2,2,1],[1,3,8,1,4,4,2,4,4,4,1,
2,1,2,1,2,2,1,1,1,1],[1,3,2,4,2,1,1,1,6,1,1,4,4,4,1,1,1,1,1,1,1,2,6,4,1,1,1,1,
1,1,1,1],[1,3,2,10,1,1,2,2,2,1,4,4,6,6,4,6,4,1,2,2,1,1,2,4,2,2,2,4,4,1,1,1,2,
2,1],[1,1,2,4,1,1,1,2,1,2,3,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
3,4,1,6,2,2,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,4,4,1,1,2,2,2,4,1,2,1,1,1,2,
2,1],[1,3,8,1,4,6,4,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,5,10,4,1,1,4,7,8,2,2,14,4,4,
1,1,1,2,2,2,2,1,1,6,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,2,10,1,1,4,3,1,2,3,2,
2,2,2,8,4,4,16,12,1,1,3,3,1,2,2,1,1,8,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,4,4,
1],[1,1,6,4,8,1,4,3,2,2,1,2,2,2,2,2,4,4,1,1,1,1,1,2,1,1,2,4,2,2,4,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,8,1,1,2,2,2,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,1,
1,1,1,1,1],[1,3,4,8,1,4,2,4,8,2,1,1,2,2,1,4,2,1,1,1,2,2,1],[1,3,4,2,6,4,1,3,1,
1,3,2,2,2,8,4,4,8,4,4,1,1,1,2,1,1,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,2,
4,4,6,1,1,1,2,6,2,3,4,3,4,4,4,4,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,2,4,1,1,1,4,2,2,2,2,4,4,4,
1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,4,2,2,4,4,1,2,1,1,2,2,
2,1,1,1,1],[1,3,4,2,2,1,2,1,1,2,4,4,8,1,1,1,1,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,
3,2,2,10,6,1,1,1,1,2,2,2,1,1,4,1,2,6,2,6,4,6,4,8,8,4,1,1,2,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,4,6,1,1,1,
2,1,2,1,2,2,2,2,2,4,8,8,4,1,1,1,1,1,2,2,1,2,1,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,
6,2,2,8,1,1,1,4,2,2,4,4,4,8,4,4,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,4,4,1,1,1,2,2,
2,2,2,2,1],[1,1,6,4,4,1,4,2,2,2,2,2,4,4,4,1,1,1,1,1,2,2,2,4,4,4,1,1,1,1,1,1,1,
1],[1,1,6,4,4,1,4,3,2,3,2,2,2,2,2,4,1,3,1,3,1,1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,
3,2,6,6,6,1,1,1,1,6,3,6,1,1,2,6,2,6,6,8,4,4,8,1,1,2,1,3,1,1,1,1,3,1,1,2,2,6,2,
2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,10,2,6,1,1,4,1,1,7,8,2,2,14,
2,8,4,4,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,2,2,4,6,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,2,2,2,2,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,1,1,1,1,1,
1,1,1],[1,1,2,2,2,2,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,1,1,1,1,1,1,
1,1],[1,1,2,6,4,2,1,4,3,2,1,2,2,2,2,2,2,4,1,1,1,1,1,2,1,1,2,2,4,2,4,1,1,1,1,1,
1,1,1],[1,1,2,6,2,4,1,4,1,3,2,2,2,4,4,4,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,3,4,2,2,8,1,6,1,1,4,4,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,2,1,
1,1,1,2,6,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,2,2,8,10,1,1,3,2,1,3,4,2,2,2,2,
4,16,8,4,12,1,1,1,3,3,2,1,1,8,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,3,
6,6,4,1,1,6,3,6,2,2,6,6,6,4,4,1,2,3,1,2,1,3,2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,
2,2,6,4,1,3,1,2,4,2,2,4,4,4,1,1,1,1,2,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,
1,4,2,2,2,4,8,1,1,1,4,4,1,2,1],[1,3,8,4,1,4,8,2,2,2,2,1,1,4,1,2,2,2,1,1,1,2,2,
1],[1,3,2,10,4,1,1,2,2,2,1,2,4,2,6,6,4,6,4,4,1,2,1,2,1,1,1,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,1,6,2,2,1,1,1,4,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,10,
1,1,4,7,8,14,4,4,1,1,1,2,2,2,2,6,4,2,4,1,1,1,2,2,1],[1,1,4,2,1,1,1,1,2,2,3,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,1,1,2,2,1,2,2,2,2,2,
2,4,1,1,1,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,4,2,2,2,1,2,1,1,2,2,2,1,1,
1,1],[1,1,2,2,4,8,6,1,1,1,1,1,1,3,2,1,1,4,2,2,2,4,6,2,8,8,4,4,8,1,2,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,
2,2,6,1,1,1,1,1,4,3,3,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,4,2,2,1,1,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,4,1,3,3,2,2,4,4,2,4,6,2,8,
1,1,2,1,1,1,2,2,2,2,2,2,2,4,6,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,4,2,2,4,4,4,
1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,2,10,1,1,1,1,2,2,3,2,2,2,2,8,4,4,8,4,1,1,1,1,
1,2,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,4,1,2,2,2,2,4,2,4,4,4,1,1,
1,2,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,2,2,3,2,2,2,2,2,4,1,1,1,1,
1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,4,2,4,2,4,4,1,1,2,1,2,2,2,1,1,1,
1],[1,3,4,1,2,4,4,2,1,1,2,2,1,2,1,1,1,1],[1,7,8,4,1,2,2,12,4,14,2,2,4,4,1,2,4,
4,4,1,1,2,4,2,2,4,1,1,1,2,2,1],[1,1,2,6,2,1,1,2,2,1,2,2,2,2,2,2,4,1,1,1,1,1,2,
1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,8,1,3,2,2,1,4,2,2,2,2,2,4,4,1,2,1,1,1,1,1,
1,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,2,10,1,1,1,1,1,4,5,1,8,4,4,4,4,1,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,6,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,4,2,2,4,1,6,1,1,4,2,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,6,2,1,2,1,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,
4,8,1,6,2,2,4,2,2,4,4,1,1,1,2,1,1,2,6,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,1,1,
1,3,2,4,2,4,6,2,8,4,4,1,2,1,1,2,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,3,4,4,1,6,4,2,2,
4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,12,1,1,3,1,2,2,5,2,4,4,2,2,4,2,8,4,1,1,2,
1,2,1,1,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,6,6,1,1,2,2,3,2,2,2,2,2,4,4,
1,1,1,1,1,1,2,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,1,2,1,4,1,4,4,4,1,1,
1,1,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,4,2,2,2,4,8,1,1,1,4,4,1,2,1],[1,
1,4,2,4,1,1,1,1,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,10,4,1,3,2,3,4,2,2,2,2,2,4,1,1,3,1,3,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,
10,6,1,3,2,3,4,2,2,2,2,2,12,12,1,1,1,3,3,1,1,8,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,
2,10,2,1,3,2,1,2,4,2,2,2,2,2,4,1,1,1,2,1,1,1,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
1,2,2,2,2,6,1,1,1,1,1,4,3,3,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,1,2,2,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,4,6,1,1,2,2,3,2,2,2,2,2,4,
4,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,8,1,2,2,4,2,2,2,4,4,4,1,1,
2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,16,1,4,8,2,4,12,12,4,3,1,2,1,12,2,2,
4,4,1,1,1,2,2,1],[1,3,4,1,3,3,2,2,1,1,1,4,4,1,2,1],[1,3,4,2,6,1,3,1,1,3,2,8,4,
4,8,4,4,1,1,1,2,4,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,3,4,4,1,3,3,2,2,2,2,4,4,1,1,1,
1,1,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,2,6,1,1,1,4,1,3,2,3,3,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,4,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,8,2,4,1,1,4,3,1,2,2,1,2,2,2,2,4,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,6,8,1,1,2,2,2,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,3,4,1,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,4,4,2,2,4,1,2,2,6,1,1,
2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,2,1,1,1,4,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1],[1,1,6,4,1,1,2,2,3,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,6,4,6,1,4,3,2,3,2,2,2,2,2,12,12,1,1,3,3,1,1,1,8,2,4,2,4,1,
1,1,1,1,1,1,1],[1,3,4,4,1,4,6,2,2,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,2,6,1,1,
1,1,2,2,1,2,2,2,2,2,8,4,4,8,1,1,1,1,1,2,1,2,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
1,2,8,1,1,3,2,1,3,4,2,2,2,2,1,1,1,3,3,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,
8,6,1,1,1,1,1,1,2,2,5,1,1,4,2,2,2,2,4,2,8,4,8,8,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,1,1,1,1,2,2,
5,4,2,2,4,2,8,4,4,1,2,1,1,2,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,2,8,6,1,1,3,2,1,
1,2,4,2,2,2,2,4,8,8,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,
2,2,4,1,2,1,1,4,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,6,1,3,1,1,2,1,1,1,1,1,
1,1,1,1,2,1,1,1,1,1],[1,1,2,2,2,6,6,1,1,1,3,1,2,3,3,4,4,4,4,4,4,1,1,1,1,1,1,2,
1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,
12,4,1,4,12,18,2,2,4,4,3,12,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,8,2,1,1,4,3,1,2,3,
2,2,2,2,1,1,1,3,3,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,6,4,2,2,4,4,1,2,1,1,
2,2,2,1,1,1,1],[1,1,2,2,4,10,1,1,1,2,1,2,3,2,2,2,2,4,8,8,4,4,1,1,1,1,1,2,1,2,
1,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,2,2,8,1,2,1,1,4,4,2,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,3,2,6,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,
2,6,1,1,4,3,1,2,1,2,2,2,2,2,8,4,4,8,1,1,1,1,1,2,2,2,1,1,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,4,1,1,1,2,1,2,2,1,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,4,1,1,3,2,1,2,1,4,2,2,2,2,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,2,2,2,2,2,1,1,1,1,1,4,1,5,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,3,1,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,5,7,4,1,2,1,1,2,5,
2,1,2,2,5,6,5,2,2,2,2,2,2,1,1,2,2,2,1,2,2,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,2,14,1,1,2,2,1,4,2,4,8,2,6,4,2,4,4,1,1,2,1,2,2,2,1,2,1,2,2,2,2,2,2,
4,1,1,1,1,1,1,1,1],[1,3,3,9,4,1,1,3,3,9,6,3,9,2,2,2,2,2,2,1,3,2,3,2,1,1,6,2,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,4,1,3,3,16,12,2,2,4,4,2,3,3,1,6,1,2,1,2,2,
2,2,4,1,1,1,1,1,1,1,1],[1,2,1,1,11,4,1,2,1,3,1,2,5,6,8,3,2,1,2,2,2,2,2,2,2,2,
2,1,2,2,1,1,2,2,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,9,4,1,1,3,3,9,9,9,2,
2,2,2,2,2,3,3,9,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,4,2,2,1,1,
2,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,4,8,1,3,4,2,1,1,1],[1,3,1,4,8,1,3,4,1,
1,2,1],[1,3,4,1,8,1,3,4,1,2,1,1],[1,3,4,4,5,1,3,4,1,1,1,1,1],[1,3,3,9,1,1,2,9,
1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,1,1,1,3,1,1],[1,1,7,7,1,1,1,1],[1,9,6,16,3,
2,3,9,18,6,9,8,12,1,1],[1,9,6,16,3,2,3,9,18,6,9,12,8,1,1],[1,3,3,9,16,1,1,3,3,
9,9,9,3,3,9,4,4,12,1,1],[1,3,12,16,1,16,18,3,12,4,16,1,1],[1,3,12,16,1,4,12,
18,3,12,4,16,1,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,1,1],[1,3,12,4,1,16,18,12,
3,12,1,4,1,3,1],[1,3,12,4,1,16,18,12,3,12,1,4,1,3,1],[1,3,6,6,16,1,2,2,3,3,6,
6,12,3,6,6,4,8,8,1,1],[1,3,16,1,6,3,4,1,1],[1,3,12,16,1,4,6,12,12,3,12,4,16,1,
1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,
9,4,4,12,1,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,12,4,1,4,12,
18,12,3,12,1,4,1,3,1],[1,9,6,4,3,2,3,9,18,12,6,9,1,4,1,3,1],[1,3,12,4,1,4,12,
18,12,3,12,1,4,1,3,1],[1,7,12,4,7,6,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,18,4,
3,6,4,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,2,6,6,4,1,4,3,3,12,12,4,8,1,3,3,8,
1,4,1,1,2,1],[1,3,4,4,1,6,12,4,1,6,1,4,3,1,1],[1,7,4,7,4,4,1,6,1,4,1,1,1],[1,
1,6,4,4,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,12,4,4,3,6,6,6,6,4,8,1,3,3,12,1,4,3,2,
1,1],[1,1,12,6,4,3,4,3,3,6,6,6,4,4,4,1,3,6,3,6,1,4,3,1,1,1,1],[1,3,4,4,1,6,4,
4,1,6,1,4,1,1,1],[1,1,6,12,4,3,3,6,3,4,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,
3,4,12,4,1,6,6,6,12,8,4,1,3,6,3,6,1,4,3,2,1,1],[1,9,6,4,1,7,3,12,12,12,1,3,3,
8,1,4,1,1,2,1],[1,7,8,4,7,28,4,8,1,14,1,4,1,1,2,1],[1,3,6,6,4,1,1,6,3,6,6,6,6,
12,1,2,3,3,6,1,4,1,1,2,1],[1,1,2,6,6,4,1,3,3,4,12,12,4,8,1,3,3,8,1,4,1,1,2,
1],[1,1,6,12,4,3,4,6,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,7,6,6,4,7,3,3,6,12,4,4,
4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,4,1,4,3,3,4,1,3,3,1,4,1,1,1],[1,3,4,12,4,1,
6,6,6,12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,3,6,4,6,4,1,3,3,6,3,3,12,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[1,3,12,4,1,6,12,16,12,3,4,
8,1,4,1,1,2,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,4,3,6,6,12,4,8,
1,3,3,12,1,4,3,1,2,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,7,12,4,7,6,6,12,
4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,3,9,4,3,1,3,3,6,3,3,6,3,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,6,6,4,1,6,3,3,3,3,12,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,3,3,4,6,9,6,4,8,1,3,3,6,6,1,4,3,1,1,1,
1],[1,3,4,4,3,1,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,
1],[1,3,6,1,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
12,4,1,3,3,6,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,1,3,12,4,1,3,3,6,6,6,6,8,4,
1,3,3,6,6,1,4,3,1,2,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,6,6,
4,1,3,3,1,4,3,1,1],[1,1,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,12,4,1,3,3,16,
12,12,2,3,3,1,6,1,4,1,1,2,1],[1,1,9,9,4,3,1,3,3,9,9,3,4,4,4,3,3,1,3,3,3,3,1,4,
3,1,1,1,1],[1,3,3,9,4,1,1,3,3,9,6,3,9,12,1,3,2,3,6,1,4,1,1,2,1],[1,3,4,4,1,6,
12,4,1,6,1,4,3,1,1],[1,4,3,12,4,1,3,3,3,3,3,3,6,6,4,8,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,4,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,
3,12,4,1,3,3,6,6,6,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,3,4,12,4,1,3,3,6,12,6,4,8,
1,3,3,6,6,1,4,3,1,2,1],[1,3,4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,1,6,12,3,
4,4,1,1,1],[1,1,9,9,4,3,1,3,3,9,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,
4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,12,4,3,3,4,
3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,1,3,12,4,1,3,3,3,3,3,3,6,6,8,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,12,4,1,6,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[
1,1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,4,1,3,3,6,6,4,
1,3,3,1,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,3,6,9,4,1,3,3,3,3,6,6,3,3,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,6,6,4,1,6,3,3,3,3,12,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,4,12,4,3,1,3,6,12,6,4,8,1,3,6,3,6,1,4,3,1,2,1],[1,3,2,
3,9,6,1,1,1,1,3,9,3,9,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,1,1,3,1,3,1,2,2,3,1,1,1,1,
1,1,1,1],[1,1,9,9,4,1,3,3,3,9,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,5,
15,1,1,1,1,3,9,15,9,1,5,5,3,1,3,3,3,3,3,1,1,3,1,1,5,3,3,1,1,1,1,1,1,1,1],[1,1,
9,9,4,1,3,3,3,3,9,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,7,8,1,1],[1,7,7,8,
1,1],[1,1,7,14,1,7,1,1,2,1],[1,21,42,7,14,21,63,126,168,252,3,42,42,48,63,63,
126,168,168,168,504,7,14,21,63,126,168,252,21,42,1],[1,9,6,12,36,3,2,3,4,9,12,
18,18,18,24,36,36,36,72,72,72,72,72,72,3,6,9,9,18,18,18,18,24,24,24,24,36,36,
36,36,48,72,72,72,72,72,72,72,72,72,72,144,144,1,6,6,8,9,9,12,18,18,24,36,36,
36,36,36,72,72,72,144,3,18,18,24,1],[1,3,12,12,1,4,16,18,12,18,18,3,3,12,9,12,
12,36,1,1,3,3,9,9,9,3,3,9,1],[1,9,6,12,12,3,2,3,9,16,6,18,18,12,12,24,24,24,
24,3,6,9,3,12,6,6,6,6,6,8,8,12,12,12,24,24,24,24,24,1,1,3,3,3,6,6,6,6,12,12,
12,12,1,2,3,3,6,1],[1,9,6,12,12,1,7,3,16,6,18,12,12,12,12,16,24,24,1,3,3,3,3,
12,4,6,6,6,6,6,8,8,8,12,12,12,12,12,12,24,24,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,
12,12,12,24,24,3,3,3,4,6,12,1],[1,13,18,3,2,9,15,16,42,24,60,1,6,6,9,15,24,6,
8,24,32,48,1,4,3,3,12,12,12,12,1,6,1],[1,9,6,24,1,7,3,12,12,24,12,12,32,24,24,
1,3,3,6,8,6,6,6,6,6,16,8,8,24,24,24,24,24,2,1,2,3,3,6,6,6,6,12,12,24,24,24,24,
3,4,6,6,12,1],[1,9,6,4,12,3,2,3,9,6,6,18,12,16,24,24,24,24,1,6,9,3,6,6,6,6,8,
8,24,24,24,24,24,1,3,3,4,12,12,12,12,1,6,1],[1,13,8,18,3,2,9,15,12,28,42,24,
60,1,6,6,14,9,15,12,18,6,8,24,32,36,48,1,1,3,3,3,6,18,12,18,6,12,1,3,2,3,6,
1],[1,7,8,6,6,12,7,2,28,2,3,3,6,6,6,6,6,12,12,24,24,24,24,1,14,3,3,3,3,6,6,6,
6,6,6,6,6,6,6,8,8,12,12,12,24,24,24,24,1,1,3,3,3,3,3,3,3,3,3,6,12,12,12,12,1,
1,1,3,3,3,3,1],[1,9,6,3,2,3,9,18,12,12,6,9,6,6,6,6,6,6,48,1,3,3,12,12,12,3,4,
1],[1,3,12,12,1,4,6,12,12,12,18,6,3,3,3,6,12,12,12,12,24,1,1,3,3,3,3,3,6,6,6,
1,2,3,3,6,1],[1,3,12,12,1,4,6,12,12,12,18,6,16,3,3,4,3,6,8,4,12,8,12,24,1,1,1,
2,3,3,3,3,6,6,6,3,3,3,6,1],[1,7,8,12,7,28,4,6,6,12,12,12,1,14,3,3,6,12,12,12,
24,1,1,3,3,3,3,3,6,6,6,1,2,3,3,6,1],[1,9,6,1,7,3,12,12,12,12,1,3,3,6,6,8,8,8,
24,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,5,10,4,4,1,1,5,2,6,4,8,4,8,16,4,8,8,8,1,2,2,
1,1,2,4,2,2,2,2,2,4,8,8,8,8,8,8,16,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,1,2,2,2,
4,4,1],[1,5,10,4,4,1,1,5,2,6,4,8,4,16,4,8,8,16,1,2,2,1,1,2,2,2,2,2,2,8,8,8,8,
8,16,1,1,1,2,2,4,4,4,4,4,1,2,4,1],[1,9,8,6,8,1,7,3,4,28,4,12,8,12,4,8,8,8,1,
14,3,3,2,4,2,2,6,2,2,2,8,4,12,8,8,8,8,16,1,1,1,1,1,2,2,2,6,2,6,2,4,4,4,4,4,4,
1,1,1,2,2,2,2,4,1],[1,13,18,3,2,9,15,42,24,8,60,8,1,6,6,9,15,4,4,4,4,4,4,6,8,
24,32,48,32,1,3,2,2,3,2,2,2,12,2,4,4,8,8,8,12,1,2,2,2,4,4,1],[1,9,6,4,4,16,1,
7,3,2,6,12,4,8,4,8,12,16,8,8,32,16,16,1,1,3,3,1,2,4,2,4,2,2,2,8,8,8,4,8,8,4,4,
4,4,4,4,4,8,8,8,8,8,8,8,16,16,16,1,2,1,2,1,2,2,2,2,4,2,2,2,2,4,4,8,4,4,8,4,4,
4,4,8,8,8,8,8,8,8,8,8,8,2,1,2,2,4,4,4,4,4,4,1],[1,13,18,8,3,2,9,15,42,24,4,4,
60,8,8,16,1,6,6,9,15,2,2,6,8,24,32,4,4,4,4,4,48,8,8,8,8,8,16,1,3,1,1,3,2,2,2,
12,2,2,4,4,4,4,4,4,12,8,8,1,1,1,2,2,2,2,4,1],[1,9,6,4,12,3,2,3,9,6,6,18,12,24,
24,24,24,16,1,6,9,3,6,6,6,6,8,8,24,8,24,24,24,16,1,3,3,12,4,12,4,4,8,8,1,2,4,
1],[1,5,10,12,4,1,1,5,16,2,18,4,8,4,4,16,12,8,8,3,2,2,1,1,12,2,2,6,2,2,2,2,4,
4,4,24,8,8,8,8,8,1,1,1,1,1,2,2,2,6,2,2,6,4,4,4,4,4,4,2,1,1,1,2,2,2,4,1],[1,9,
8,6,4,4,8,1,7,3,4,28,2,6,12,4,4,4,4,12,8,8,8,16,16,16,1,1,14,3,3,1,4,2,2,2,2,
2,6,2,2,8,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,1,1,1,1,1,1,1,2,
2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,
2,2,4,4,8,1],[1,9,6,8,1,7,3,4,12,8,12,4,8,16,8,1,3,3,2,2,2,2,2,2,8,8,8,8,16,8,
1,1,1,4,4,4,2,2,4,4,1,2,4,1],[1,5,10,4,4,16,1,1,5,2,6,4,8,8,4,16,4,8,16,8,8,
32,16,16,1,2,2,1,1,2,2,2,4,2,2,2,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,16,8,8,16,16,
16,1,2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,16,16,16,16,1,2,2,2,4,4,
4,4,8,1],[1,9,6,8,1,7,3,4,12,8,8,12,12,8,8,1,3,3,2,6,2,4,2,2,2,8,8,8,8,8,8,16,
1,2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,1,2,2,2,4,4,1],[1,9,6,4,20,3,2,3,9,10,6,18,
4,20,8,16,24,24,24,24,1,6,9,5,4,6,6,4,2,6,6,8,8,8,4,4,4,8,8,24,8,16,8,24,24,
24,1,1,3,1,3,4,2,2,2,2,2,12,12,4,4,4,4,4,8,8,1,1,1,2,2,2,2,4,1],[1,9,6,4,4,1,
7,3,8,2,6,12,4,4,12,8,8,8,1,1,3,3,1,2,2,2,12,2,2,8,4,4,4,4,4,8,8,16,2,1,1,1,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,13,18,4,12,3,2,9,15,6,6,42,24,4,
12,60,4,24,24,24,24,1,1,6,6,9,15,3,6,6,2,2,2,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,
8,8,24,48,8,24,8,24,24,16,16,1,3,1,3,1,3,3,2,2,12,2,2,2,2,2,2,12,12,4,4,4,4,4,
4,4,4,4,4,12,4,16,16,16,16,1,1,1,1,1,1,1,4,4,4,4,8,1],[1,5,10,4,4,1,1,5,2,6,4,
8,4,16,4,8,8,16,1,2,2,1,1,2,2,2,2,2,2,8,8,8,8,8,16,1,1,1,2,2,4,4,4,4,4,1,2,4,
1],[1,9,6,4,4,1,7,3,2,6,12,4,4,12,8,8,16,1,1,3,3,1,2,2,2,2,2,8,4,4,4,4,8,8,16,
16,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,1,2,2,2,8,1],[1,9,6,8,1,7,3,4,12,8,12,4,8,8,
16,1,3,3,2,2,2,2,2,2,8,8,8,8,8,16,1,1,1,2,2,4,4,4,4,4,1,2,4,1],[1,13,18,3,2,9,
15,42,24,60,16,1,6,6,9,15,6,8,24,32,48,8,16,1,3,3,12,4,4,4,12,8,8,1,2,4,1],[1,
9,6,4,4,1,7,3,2,6,12,12,4,12,8,8,8,1,1,3,3,1,2,2,4,2,6,2,8,8,4,4,4,4,8,8,16,1,
1,2,1,2,2,2,4,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,4,4,1],[1,5,10,4,12,1,1,5,6,6,4,8,
12,12,16,4,16,8,8,1,2,2,1,3,4,2,2,2,2,6,2,2,8,8,4,4,4,8,8,8,8,8,16,1,1,1,2,1,
1,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,9,6,4,12,3,2,3,9,6,6,18,8,
12,8,24,24,24,24,1,6,9,3,6,6,4,4,4,4,6,4,6,4,8,8,24,24,24,24,32,1,2,3,2,3,2,2,
2,2,12,12,4,8,4,8,8,1,2,2,2,4,4,1],[1,9,6,8,8,1,7,3,8,4,12,4,8,4,12,4,8,8,8,
16,1,3,3,2,2,2,2,2,12,2,2,2,8,4,4,4,4,8,8,8,8,8,16,2,1,1,1,1,1,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,8,12,7,28,6,6,8,12,12,1,14,3,3,2,2,6,12,
6,6,24,1,3,3,6,6,6,6,1,3,3,1],[1,7,8,6,6,12,7,28,4,3,3,6,6,6,4,12,12,24,24,12,
12,1,14,1,1,3,3,3,3,2,6,3,3,3,6,6,6,3,6,3,3,6,12,6,6,6,6,6,6,6,12,12,8,8,24,1,
1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,1,3,3,3,
3,3,3,6,6,1],[1,7,12,7,4,6,6,8,12,12,1,6,3,3,2,2,6,12,6,6,1,3,3,6,6,6,6,1,3,3,
1],[1,7,6,6,12,7,4,4,3,3,6,6,6,4,12,12,12,12,1,1,1,3,3,3,6,3,2,6,3,3,6,6,3,6,
3,6,3,3,6,6,6,6,12,12,6,6,6,6,12,1,1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,6,6,
6,12,6,6,6,6,6,6,6,6,6,12,6,1,3,3,3,3,3,3,6,6,1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,
8,4,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,12,8,4,4,4,4,8,8,1,2,1,1,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,4,1],[1,5,2,4,4,8,1,1,1,2,6,4,8,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,
4,2,2,2,8,2,2,4,4,8,4,4,4,8,8,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,2,
10,12,7,4,1,1,4,4,2,6,4,6,4,8,12,4,4,4,8,8,1,1,3,3,6,2,1,2,2,2,2,2,2,2,2,2,2,
2,8,4,4,8,12,8,8,16,8,1,1,1,1,1,2,1,1,3,1,1,1,2,2,2,2,2,2,2,4,2,4,4,4,4,2,1,1,
1,1,1,1,1,2,2,2,1],[1,5,2,12,4,1,1,1,16,2,18,4,4,4,4,4,8,8,8,3,1,1,12,2,2,2,2,
2,4,4,4,4,8,8,8,8,1,1,1,1,2,2,1,2,2,2,2,4,4,2,1,1,1,2,2,1],[1,9,6,4,12,1,7,3,
6,6,12,8,12,12,8,8,8,8,8,1,1,3,3,3,2,2,4,2,2,4,2,2,2,2,8,4,4,4,4,8,8,8,8,8,8,
8,1,1,1,1,1,2,1,2,2,2,2,1,2,2,2,2,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,5,2,4,4,8,1,1,1,2,6,4,4,4,8,8,4,8,8,8,8,8,1,1,1,2,2,2,2,2,2,4,2,2,2,2,12,4,
4,8,4,8,8,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,7,12,8,7,4,4,4,6,4,
6,4,12,8,12,1,2,2,6,3,3,2,12,12,4,8,8,8,8,8,1,1,1,1,3,2,3,1,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,2,2,2,2,2,2,1],[1,9,6,8,3,2,3,9,18,4,4,4,4,8,8,6,9,2,2,2,2,2,2,2,4,
2,4,4,4,4,4,4,8,16,8,1,1,1,1,1,2,2,2,4,4,4,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,8,4,8,8,8,8,8,8,1,1,1,2,2,4,2,2,2,2,2,2,8,4,4,
8,4,4,4,8,8,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,5,2,8,16,1,1,2,1,2,4,
8,4,4,10,14,8,8,16,12,20,24,16,8,8,1,1,1,4,2,2,4,4,4,10,6,2,6,8,4,4,4,16,4,12,
4,4,8,12,4,8,8,16,16,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,4,1],[1,7,8,
4,1,2,2,6,12,4,8,14,14,1,1,2,7,4,4,4,4,4,4,4,4,4,4,4,8,1,1,2,1,1,2,1,2,3,2,2,
1,2,2,6,4,2,1,1,2,1,2,2,2,2,2,1],[1,9,6,8,1,7,3,4,12,8,12,4,8,8,1,3,3,2,2,2,2,
2,2,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,5,2,8,16,1,1,2,1,2,4,8,4,4,10,
14,8,8,8,8,16,12,20,24,16,1,1,1,4,2,4,2,4,4,4,10,6,8,2,6,8,4,4,12,16,4,12,4,8,
12,4,16,16,1,2,1,2,2,2,2,1,2,2,2,2,2,2,2,8,8,8,8,1,1,1,4,1],[1,9,6,4,20,1,7,3,
4,6,2,12,8,8,4,4,12,12,8,16,24,24,16,16,8,1,3,3,2,2,2,2,4,2,2,4,8,4,4,8,4,4,4,
8,16,4,12,4,8,8,4,16,4,4,12,8,8,8,8,8,8,24,1,1,1,1,1,2,2,1,2,3,2,4,4,2,4,4,2,
2,2,2,4,8,4,8,8,8,1,1,1,1,1,2,1,1,2,2,2,1],[1,3,4,12,8,1,2,4,4,4,4,6,4,4,2,4,
12,8,12,1,2,2,2,3,2,1,2,4,4,12,8,4,8,8,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,4,2,8,16,12,1,1,2,1,2,6,2,4,8,4,4,10,14,6,
8,2,8,4,16,12,12,20,24,16,24,24,24,24,1,1,1,1,2,4,1,2,3,1,2,4,4,4,2,10,2,6,6,
2,2,2,2,2,6,2,2,6,2,2,6,6,2,2,8,8,8,4,4,4,16,4,12,4,4,4,4,8,12,4,8,24,24,16,8,
8,16,8,8,24,8,24,1,1,2,2,1,1,1,1,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,12,4,12,8,4,4,4,4,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,1],[
1,5,2,8,16,8,1,1,2,1,2,4,8,4,4,10,14,4,8,4,8,16,12,20,24,16,8,8,8,8,1,1,1,4,2,
2,4,4,4,10,6,2,2,4,2,2,2,2,6,2,8,4,4,4,16,4,4,4,12,4,4,8,12,4,8,16,8,8,16,8,
16,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,8,4,4,8,8,8,1,1,1,2,2,2,2,4,
1],[1,9,6,3,2,3,9,18,4,4,6,9,2,2,2,2,2,2,16,8,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,5,
4,2,8,16,4,1,1,2,1,2,6,2,4,8,4,4,10,14,2,8,6,8,4,16,4,12,20,24,16,8,8,1,1,1,1,
2,4,3,2,1,1,2,4,4,4,10,2,6,2,2,2,2,2,2,2,2,6,2,6,2,6,8,4,4,4,16,4,12,4,4,8,12,
4,8,8,16,8,16,8,1,1,2,2,1,1,1,1,1,1,3,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,
8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,2,4,4,8,1,1,1,4,2,6,4,4,4,4,4,8,8,8,8,8,8,1,
1,1,2,2,2,2,2,2,2,4,2,2,2,4,8,8,4,4,4,8,8,8,8,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,2,4,12,1,1,1,6,6,4,4,12,4,16,4,8,
8,8,1,1,3,4,2,2,2,2,8,2,4,4,4,4,8,8,8,8,1,1,1,2,1,2,1,2,2,4,2,2,4,2,1,1,1,2,2,
1],[1,5,2,4,12,1,1,1,4,6,6,4,4,12,16,4,8,8,8,1,1,3,4,2,2,2,2,8,2,4,4,4,8,8,4,
8,8,1,1,1,1,1,2,2,2,4,2,2,4,2,2,1,1,1,2,2,1],[1,5,4,10,4,4,4,1,1,5,6,6,2,6,4,
8,2,4,2,16,4,4,4,8,8,8,8,1,2,1,2,1,1,2,2,1,2,2,1,2,3,2,2,2,2,2,2,2,2,10,2,2,2,
2,2,8,8,8,8,8,8,8,1,1,1,1,1,2,2,1,1,1,1,2,1,2,1,2,2,2,2,2,2,4,2,2,2,4,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,4,12,12,1,1,1,2,6,6,6,4,4,6,12,6,16,4,8,8,8,
24,8,24,8,1,1,1,3,2,4,2,1,2,1,1,2,8,2,2,2,2,2,6,6,2,2,6,2,4,6,4,6,6,2,2,4,6,4,
4,4,4,4,4,4,4,8,12,8,4,4,16,8,8,1,1,1,2,2,2,1,1,2,1,1,1,1,1,1,2,2,2,6,2,6,4,2,
2,4,6,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,2,2,2,2,2,
2,2,2,2,4,4,1],[1,9,6,8,1,7,3,12,4,4,4,12,4,8,8,16,1,3,3,2,2,2,2,8,4,4,4,4,4,
8,8,8,8,1,1,1,1,2,2,2,1,2,2,4,4,2,2,1,1,1,2,2,1],[1,9,6,8,16,1,7,2,3,2,4,8,12,
4,10,14,8,8,12,4,8,16,12,20,24,16,1,1,3,3,1,4,2,2,2,2,4,2,4,4,8,4,10,6,4,2,8,
6,4,8,8,4,8,4,4,16,4,12,4,4,8,12,4,8,8,16,16,1,1,1,1,2,2,1,2,1,3,2,2,2,4,2,2,
2,2,2,2,4,4,2,2,2,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,1],[1,3,4,12,8,1,2,4,4,4,4,6,
4,4,2,4,12,8,12,16,1,2,2,2,3,2,1,2,4,4,4,12,8,8,8,8,8,8,1,1,2,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,2,16,16,1,1,2,1,2,16,4,20,4,4,
10,14,4,8,8,8,16,12,20,24,16,3,1,1,12,4,2,2,2,4,4,4,10,6,4,2,6,4,4,8,8,4,4,12,
16,4,8,12,4,8,12,4,16,16,24,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,4,2,4,12,8,4,4,12,8,
1,2,1,1,2,2,2,4,1],[1,13,18,8,3,2,9,15,4,42,24,4,8,60,8,8,8,1,6,6,9,15,2,4,2,
2,2,2,2,6,8,24,32,4,4,12,48,12,8,8,8,8,1,3,1,1,3,1,2,2,2,12,2,3,2,2,4,4,2,6,
12,2,8,8,1,1,2,1,2,2,2,2,2,1],[1,9,22,8,1,4,3,15,4,24,48,8,8,60,4,8,8,4,4,8,6,
3,2,2,2,4,2,2,2,18,24,16,12,4,4,4,60,4,8,8,24,8,1,1,1,3,2,3,2,2,1,3,12,4,4,2,
2,4,2,12,6,8,8,1,1,2,1,2,2,2,2,2,1],[1,5,2,8,16,8,1,1,2,1,4,2,4,8,4,4,10,14,4,
8,8,8,16,8,12,20,24,16,8,8,1,1,1,4,2,2,2,2,4,4,4,2,10,4,6,2,4,2,2,2,6,4,8,4,4,
8,16,4,12,4,4,8,4,8,12,4,8,16,8,16,8,8,1,1,2,1,2,1,1,1,2,2,1,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,4,2,8,8,8,8,2,1,1,1,2,2,2,2,2,1],[1,3,4,4,6,6,16,1,2,2,2,6,2,3,3,
6,6,2,8,4,4,4,16,12,16,24,24,24,24,1,1,3,4,1,1,2,6,2,6,6,2,6,4,4,6,2,6,2,2,8,
8,4,4,4,8,4,8,4,4,8,24,24,8,24,24,1,1,1,1,1,1,1,3,1,1,3,2,2,2,2,2,2,2,2,2,2,
12,12,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,8,8,1,7,3,4,12,4,8,4,12,4,8,8,8,
16,8,1,3,3,2,2,2,2,2,2,2,2,8,4,4,4,4,8,8,4,8,8,8,8,16,1,1,1,1,1,2,2,2,2,2,4,2,
4,4,4,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,2,4,4,1,1,1,2,6,4,12,4,4,8,8,8,1,1,1,
2,2,4,2,2,8,4,8,8,8,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1],[1,3,4,4,6,6,1,2,2,2,6,2,3,
3,6,6,2,8,4,4,4,12,1,1,3,4,1,1,2,2,6,2,6,2,2,4,4,2,2,6,2,6,4,4,4,4,8,8,1,1,1,
1,1,1,2,1,1,1,3,3,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,8,
8,1,7,3,4,12,4,8,4,12,4,8,8,8,8,1,3,3,2,2,2,2,2,2,2,2,8,4,8,4,8,4,4,8,8,4,8,8,
8,8,1,1,1,2,2,1,1,1,2,2,1,2,2,2,2,2,2,2,2,4,2,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,5,2,4,4,1,1,1,2,6,4,4,4,8,4,8,8,8,1,1,1,2,2,2,4,2,8,4,8,8,8,1,2,1,2,2,1,
2,2,2,2,2,1,1,1,1],[1,5,10,8,16,1,1,2,5,2,4,8,4,4,8,10,14,4,8,16,8,8,16,12,20,
24,16,1,2,2,1,1,4,2,2,2,2,2,4,2,4,4,4,10,6,4,2,6,4,12,8,4,4,8,8,16,4,12,12,4,
8,12,4,8,8,16,16,1,1,1,1,2,2,1,2,3,1,2,2,2,2,2,2,2,2,2,4,4,6,2,2,8,8,8,8,1,1,
2,2,1,2,2,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,4,2,4,6,4,4,4,8,8,8,8,1,1,1,1,
2,2,3,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,8,8,1,1,1,1,2,1,1,1,1,2,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,1,7,3,12,4,12,4,8,
8,1,3,3,2,2,8,4,8,4,8,8,1,1,2,2,2,1,2,2,2,2,2,1,1,1,1],[1,9,8,6,1,7,3,4,28,12,
4,12,4,8,1,14,3,3,4,2,6,2,8,12,4,8,8,1,1,1,1,6,6,1,2,2,2,2,2,1,1,1,2,2,1],[1,
13,18,3,2,9,15,42,24,60,8,8,1,6,6,9,15,6,8,24,32,4,48,8,4,8,1,3,3,2,2,2,12,2,
2,2,12,8,8,1,1,1,4,1],[1,9,22,4,4,1,4,3,15,2,6,24,48,4,4,60,8,8,8,1,4,4,8,6,3,
1,2,2,4,2,2,2,18,24,16,12,4,4,4,16,60,4,8,8,8,8,1,1,3,1,1,2,3,3,2,2,4,12,4,2,
2,4,4,2,12,2,8,8,1,1,1,1,1,2,1,1,2,2,2,1],[1,5,10,8,1,1,5,4,4,8,4,8,16,8,8,16,
2,2,1,2,2,2,2,2,2,2,8,8,8,16,16,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,3,12,4,8,1,4,4,
6,12,8,8,18,10,1,3,2,5,4,12,4,12,8,4,8,8,16,1,1,1,2,2,2,3,1,2,1,3,4,2,4,2,4,1,
1,2,1,2,2,2,2,2,1],[1,7,8,20,1,2,2,10,12,4,4,20,14,10,16,16,16,1,2,5,4,5,2,4,
4,8,4,4,4,4,8,8,4,8,20,12,16,8,8,1,1,2,5,2,3,2,1,1,2,1,2,4,2,4,2,8,8,8,8,1,1,
2,1,2,2,2,2,2,1],[1,7,8,2,10,4,7,28,1,1,4,4,2,2,4,2,4,8,8,4,4,4,4,8,8,1,14,1,
1,1,2,1,2,2,4,2,2,2,2,2,2,2,2,2,8,4,4,4,8,8,16,8,8,1,2,1,1,1,1,1,1,1,1,1,2,1,
2,2,2,2,4,2,2,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,4,
8,8,8,8,1,1,1,2,2,2,2,4,8,4,8,8,8,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,7,8,4,8,8,
7,28,2,2,4,4,4,2,4,2,4,4,8,4,8,8,16,16,1,14,2,2,2,1,2,1,2,4,4,4,4,4,4,4,4,8,4,
4,4,8,4,4,8,8,16,8,8,1,1,1,2,1,1,2,2,2,2,1,2,1,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,
2,2,2,2,2,2,1],[1,9,6,4,12,8,3,2,3,9,6,6,18,4,12,4,24,24,24,24,8,8,8,8,1,6,9,
3,6,6,6,6,8,8,2,2,4,2,2,2,2,24,4,4,24,4,24,4,24,8,8,8,8,16,1,3,3,1,1,2,2,12,2,
12,2,2,2,2,2,2,4,4,4,4,8,8,1,1,1,2,2,2,2,4,1],[1,9,6,4,4,3,2,3,9,2,6,18,12,4,
8,1,6,9,1,4,2,2,6,2,2,4,4,2,2,6,4,6,4,4,4,16,1,1,1,1,1,1,3,1,2,1,2,1,3,4,2,2,
2,4,4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,2,4,2,8,
4,8,8,8,8,8,1,1,1,1,2,2,1,2,4,1,1,2,2,2,2,2,2,2,2,2,2,2,8,8,4,8,8,1,2,1,1,1,2,
1,2,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,5,10,8,1,1,5,4,4,8,4,8,16,8,8,16,2,2,1,
2,2,2,2,2,2,2,8,8,8,16,16,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,5,10,4,4,1,1,5,2,6,4,
8,4,16,4,8,8,1,2,2,1,1,2,2,2,2,2,2,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[
1,5,2,4,4,1,1,1,4,2,6,4,4,8,4,8,8,8,1,1,1,2,2,2,2,12,4,8,8,8,1,2,1,1,2,2,2,2,
2,2,2,1,1,1,1],[1,9,6,4,4,1,7,3,2,6,12,4,4,12,8,8,8,8,1,1,3,3,1,2,2,2,2,2,8,4,
4,4,4,4,8,8,4,8,1,1,1,2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,9,6,1,7,3,8,12,4,
12,4,8,1,3,3,2,12,2,8,4,8,8,2,1,1,2,2,2,2,1,2,2,2,1,1,1,1],[1,3,4,4,2,10,8,1,
2,2,6,1,1,4,4,6,4,4,4,4,4,8,8,4,4,4,8,8,1,1,1,2,2,1,2,3,2,2,4,2,4,2,2,2,2,2,2,
2,2,4,4,8,8,8,8,8,8,8,8,1,1,1,2,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,9,4,6,4,12,4,3,2,3,9,6,6,6,6,18,2,12,2,24,4,24,4,
24,24,8,8,1,6,1,9,3,6,6,1,6,1,3,6,6,8,8,2,2,2,2,2,2,6,2,2,2,2,2,24,24,4,24,4,
24,8,8,8,8,1,3,3,3,1,1,1,1,3,1,1,2,2,2,12,12,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,
1,1,2,2,2,2,1],[1,5,2,8,24,1,1,2,1,2,8,8,4,4,10,14,4,16,16,8,16,12,20,24,16,8,
1,1,3,4,4,2,2,2,8,4,4,4,10,6,4,2,4,6,4,8,4,4,4,16,4,8,12,4,8,12,4,8,16,8,16,8,
16,1,1,1,1,2,2,1,2,2,2,2,2,2,4,2,2,4,2,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,1],[1,
5,4,2,4,4,12,1,1,1,2,6,2,6,4,4,6,4,2,4,4,12,8,8,8,8,8,8,1,1,1,1,2,2,1,2,3,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,8,4,8,4,4,8,8,8,8,1,2,1,1,1,1,1,1,1,1,1,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,4,4,1,7,
3,2,6,12,4,4,12,8,8,8,8,1,1,3,3,1,2,2,2,2,2,8,4,4,4,4,4,12,8,8,1,1,1,2,2,2,2,
2,2,2,2,4,2,2,1,1,1,2,2,1],[1,5,2,12,4,8,1,1,1,16,2,18,4,4,4,4,4,8,8,8,8,8,8,
3,1,1,12,2,2,2,2,2,2,2,4,2,2,4,4,4,4,8,8,4,4,4,8,8,16,1,1,1,1,2,2,1,2,2,2,2,2,
2,2,4,4,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,4,4,2,10,8,1,2,2,6,1,1,4,4,6,4,4,
4,4,4,8,8,4,4,4,16,8,8,1,1,1,2,2,1,2,3,2,2,2,2,2,4,4,2,2,2,2,2,2,8,4,8,4,8,8,
8,8,8,8,1,1,1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,9,6,4,12,3,2,3,9,6,6,18,12,24,24,24,24,8,8,1,6,9,3,6,6,6,6,8,8,24,
4,4,24,24,24,8,8,1,3,3,2,2,12,12,2,2,2,2,8,8,1,1,1,4,1],[1,9,6,8,3,2,3,9,4,18,
8,8,12,6,9,2,6,2,2,4,2,2,4,4,4,8,8,8,4,16,1,1,1,1,1,1,2,2,1,2,2,2,4,2,4,4,4,4,
4,4,4,1,2,1,1,2,2,2,2,2,1],[1,5,4,10,8,4,1,1,5,6,6,4,4,8,4,2,8,2,16,8,4,8,4,2,
1,2,1,2,2,1,1,2,3,2,2,2,2,2,2,2,2,10,4,8,4,4,8,4,16,8,8,8,1,1,1,1,1,1,1,2,1,1,
1,2,1,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,8,1,7,3,4,12,
8,12,4,8,8,16,1,3,3,2,2,2,2,2,2,8,8,8,8,8,16,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[
1,5,2,4,4,16,1,1,1,2,6,4,8,4,4,4,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,4,4,4,4,8,4,4,4,4,8,8,8,16,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,2,4,2,4,8,8,8,8,8,8,
1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,8,8,8,8,16,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,4,4,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,4,8,8,8,8,1,
1,1,2,2,2,2,4,8,4,8,8,8,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,5,2,4,4,1,1,1,4,2,6,
4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,5,
10,4,4,1,1,5,2,6,4,8,4,16,4,8,8,8,8,1,2,2,1,1,2,2,2,2,2,2,8,8,4,12,8,8,8,1,1,
1,2,2,2,2,2,2,4,2,4,2,1,1,1,4,1],[1,5,2,4,4,1,1,1,2,6,4,8,4,4,4,8,8,8,1,1,1,2,
2,2,4,2,8,4,8,8,8,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1],[1,7,8,12,8,1,2,2,16,4,18,12,
4,8,8,14,6,16,16,3,1,2,2,12,4,4,3,4,4,4,8,8,8,4,12,4,4,4,16,16,8,8,1,2,2,1,1,
1,1,4,3,4,3,2,2,2,2,8,8,2,2,8,8,1,2,1,1,2,2,2,2,2,1],[1,9,6,4,4,1,7,3,2,6,12,
4,4,12,8,8,8,8,1,1,3,3,1,2,2,2,2,2,8,4,4,4,4,4,4,8,8,8,1,1,1,2,2,2,2,2,2,2,2,
4,2,2,1,1,1,2,2,1],[1,7,6,6,4,7,2,4,2,3,3,6,6,6,2,2,8,4,12,1,3,1,1,6,3,2,6,4,
6,2,2,2,2,6,2,6,4,4,4,4,4,8,8,1,1,1,2,1,3,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,4,8,8,8,8,8,8,8,1,1,1,
2,2,2,2,2,2,2,2,4,4,8,4,4,4,4,8,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[
1,5,2,8,16,1,1,2,1,4,2,4,8,4,4,10,14,8,4,8,8,16,12,20,24,16,1,1,1,4,2,2,2,2,4,
4,4,4,10,4,6,4,4,4,2,6,8,4,4,16,4,12,4,8,12,4,16,16,16,16,1,1,2,1,2,1,1,2,2,1,
1,2,2,2,4,2,2,2,2,2,4,2,2,8,8,8,8,1,2,1,1,2,2,2,2,2,1],[1,5,10,4,12,1,1,5,6,6,
4,8,4,12,16,12,8,8,1,2,2,1,3,2,2,6,2,2,2,2,4,4,8,8,8,4,12,8,8,16,8,1,1,1,1,1,
3,2,4,2,1,2,2,2,2,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,4,8,16,1,
2,4,2,2,4,8,2,4,6,4,4,16,4,8,8,16,16,16,1,2,4,2,1,3,2,4,4,4,4,4,4,4,4,4,4,12,
4,8,4,4,8,16,8,8,8,8,1,1,2,1,2,1,1,2,1,3,2,2,2,2,2,2,2,2,4,8,8,8,8,2,1,1,1,2,
2,2,2,2,1],[1,5,2,12,4,1,1,1,4,16,2,18,4,4,4,4,8,8,8,3,1,1,12,2,2,2,2,2,4,4,4,
8,8,4,8,8,1,1,1,1,1,2,2,2,2,2,4,4,2,2,1,1,1,2,2,1],[1,9,4,6,4,3,2,3,9,6,6,18,
4,2,2,4,4,4,6,1,9,6,1,2,1,2,2,3,2,2,2,2,2,2,6,4,4,4,4,4,4,16,1,1,1,1,3,1,1,3,
1,1,1,2,2,2,2,2,4,2,2,4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,10,8,8,1,1,5,4,
4,8,4,4,8,4,16,8,8,8,8,16,2,2,1,2,2,2,2,2,2,2,2,2,4,4,4,8,8,4,8,8,4,16,8,8,8,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,5,2,8,
16,1,1,2,1,2,4,8,4,4,10,14,8,8,8,16,12,20,24,16,8,1,1,1,4,2,4,2,4,4,4,10,6,2,
6,8,8,4,4,4,16,4,12,4,8,12,4,8,16,16,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,
1,1,4,1],[1,5,10,16,1,1,5,8,4,8,8,16,16,8,16,8,8,2,2,1,4,4,4,2,4,2,2,2,2,8,4,
4,8,8,4,8,8,8,24,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,2,4,2,6,4,4,1,2,1,1,2,2,2,2,2,
1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,4,2,2,2,2,
4,4,4,8,4,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,5,10,8,8,1,1,
5,4,4,8,4,4,8,4,16,8,8,8,8,2,2,1,2,2,2,2,2,2,2,2,4,2,8,4,4,4,4,4,8,4,16,16,16,
1,1,1,1,1,2,2,4,2,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,9,6,1,7,3,8,12,4,
12,4,8,1,3,3,2,12,2,8,4,8,8,2,1,1,2,1,2,2,2,2,2,2,1,1,1,1],[1,5,2,8,16,8,1,1,
2,1,2,4,8,4,4,10,14,4,8,4,8,16,12,20,24,16,8,8,8,8,1,1,1,4,2,2,4,4,4,10,6,2,2,
4,2,2,2,2,6,2,8,4,4,4,16,4,4,4,12,4,4,8,12,4,8,16,8,8,8,16,16,1,1,2,2,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,8,4,4,8,8,8,1,1,1,2,2,2,2,4,1],[1,9,6,8,3,2,3,9,
18,4,4,4,4,8,8,6,9,2,2,2,2,2,2,2,2,4,4,4,4,8,4,8,8,16,1,1,1,2,1,1,1,1,2,4,2,2,
2,2,4,4,2,4,4,2,4,4,1,1,2,1,2,2,2,2,2,1],[1,5,2,4,12,1,1,1,6,6,4,8,12,4,8,16,
8,8,1,1,3,4,2,2,2,2,2,8,4,4,4,12,8,8,8,1,1,1,2,2,1,1,2,2,4,2,4,2,2,1,1,1,2,2,
1],[1,5,2,8,16,1,1,2,1,2,4,8,4,4,10,14,8,8,16,12,20,24,16,8,8,1,1,1,4,2,2,4,4,
4,10,6,2,6,8,4,4,4,16,4,12,4,4,8,12,4,8,16,8,16,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,
8,8,8,8,1,1,1,4,1],[1,5,2,4,4,8,1,1,1,4,2,6,4,4,4,4,8,4,8,8,8,8,8,1,1,1,2,2,4,
2,2,2,2,4,2,2,2,2,8,4,4,8,4,8,8,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[
1,9,6,4,4,1,7,3,8,2,6,12,4,4,12,8,8,8,1,1,3,3,1,2,2,2,12,2,2,8,4,4,4,4,8,4,8,
2,1,1,1,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,12,8,8,8,
1,1,1,2,2,4,2,2,8,12,8,8,1,2,2,1,1,2,2,2,2,2,2,1,1,1,1],[1,5,4,2,12,4,12,1,1,
1,2,6,16,2,18,4,4,6,4,6,4,8,8,8,8,24,8,24,3,1,1,1,2,12,2,1,2,1,1,2,6,6,2,2,6,
4,2,6,2,2,2,6,2,2,2,6,4,6,2,4,4,4,4,4,4,4,12,4,8,4,8,4,4,16,8,8,1,1,1,2,2,1,1,
2,1,1,1,2,1,1,1,2,2,2,2,6,2,2,2,4,2,2,4,2,2,6,2,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,1,2,1,1,2,2,2,2,2,2,2,2,2,4,4,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,
2,4,2,8,4,8,8,8,8,8,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,12,8,8,8,16,1,
2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,4,4,1],[1,9,6,4,4,8,1,7,3,2,
6,12,4,4,4,4,12,8,8,8,8,8,8,1,1,3,3,1,2,2,2,2,2,2,2,8,2,4,2,2,2,4,4,4,4,4,8,4,
8,4,4,8,8,8,1,1,1,2,2,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,5,2,4,12,8,1,1,1,6,6,4,4,4,12,16,4,8,8,8,8,8,8,1,1,3,4,2,2,
2,2,8,2,2,2,2,2,4,4,4,4,4,8,8,4,4,4,8,8,16,1,1,1,2,1,2,1,2,2,2,2,4,2,2,2,4,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,10,4,12,1,1,5,6,6,4,8,12,12,16,4,8,8,1,2,2,
1,3,2,2,6,2,2,2,2,4,4,2,2,2,4,2,8,8,8,12,8,24,1,1,1,1,1,1,2,1,2,1,2,3,1,1,2,2,
2,2,2,4,4,6,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,2,4,2,
4,8,8,8,8,8,8,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,8,8,8,8,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,8,1,2,4,2,2,4,2,8,4,6,4,4,4,8,8,
1,2,4,2,1,3,2,4,4,4,4,4,4,4,4,4,4,8,1,1,2,2,1,3,1,1,2,1,2,2,2,2,2,2,4,2,2,1,1,
1,2,2,2,2,2,2,1],[1,5,2,4,4,16,1,1,1,2,6,4,8,4,4,8,4,8,8,8,8,8,8,8,8,1,1,1,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,12,4,4,8,4,4,4,4,8,8,16,1,2,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,2,4,4,1,1,1,4,2,6,4,4,4,8,8,8,
8,1,1,1,2,2,2,2,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1],[1,5,10,4,4,8,1,1,
5,2,6,4,8,4,4,4,16,4,8,8,8,8,8,8,1,2,2,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,8,8,4,4,
8,8,4,4,8,8,16,1,1,1,2,1,1,2,2,2,2,2,2,2,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,9,6,8,1,7,3,12,4,4,4,12,4,8,16,8,1,3,3,2,2,2,2,8,4,4,4,4,4,8,8,8,8,1,1,
1,1,1,2,2,2,4,2,4,2,2,2,1,1,1,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,8,2,4,2,4,
8,8,8,8,8,1,1,1,1,2,2,1,2,1,1,4,2,2,2,8,2,2,2,2,2,2,2,2,8,4,8,8,2,1,2,1,1,1,1,
1,2,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,5,2,4,4,8,1,1,1,2,6,4,4,4,8,4,8,8,8,8,8,8,
1,1,1,2,2,2,2,2,2,4,2,2,2,2,4,4,4,8,4,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,2,2,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,8,4,8,8,8,1,1,
1,2,2,2,2,2,2,2,2,1,1,1,1],[1,5,2,4,4,1,1,1,2,6,4,4,4,8,4,8,8,8,1,1,1,2,2,2,2,
12,8,4,8,8,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,9,6,8,1,7,3,8,4,12,8,12,4,8,8,8,
1,3,3,2,2,2,12,2,2,2,8,8,8,4,8,8,2,1,1,1,2,2,2,2,2,2,4,4,2,1,1,1,4,1],[1,5,2,
4,4,1,1,1,4,2,6,4,4,4,4,4,8,8,8,1,1,1,2,2,2,2,2,2,4,8,8,8,8,8,8,1,2,1,1,1,1,2,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,2,4,4,1,1,1,4,2,6,4,4,8,
4,8,8,8,1,1,1,2,2,2,2,4,12,8,8,8,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,5,2,12,4,1,
1,1,16,2,18,4,8,4,4,8,8,8,3,1,1,12,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,
2,2,4,2,2,4,1,1,1,2,2,1],[1,13,18,8,3,2,9,15,42,24,4,4,60,8,16,8,1,6,6,9,15,2,
2,6,8,24,32,4,4,4,4,48,4,8,8,8,8,8,16,1,3,1,1,3,12,2,2,2,4,2,4,2,12,4,4,4,4,8,
8,1,1,1,2,2,2,2,4,1],[1,7,4,8,7,4,2,2,4,4,2,2,12,4,4,8,8,1,2,6,1,2,1,4,6,4,4,
4,4,4,4,4,4,8,1,1,3,1,2,1,2,1,2,1,2,4,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,1],[1,9,
6,1,7,3,12,4,12,4,16,1,3,3,2,2,8,8,8,16,1,1,1,4,4,2,2,4,1,2,1],[1,5,2,4,4,8,1,
1,1,2,6,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,4,2,2,2,2,4,4,4,8,4,8,8,8,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,2,4,
2,8,4,8,8,8,8,8,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,12,4,8,8,8,1,2,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,9,6,4,12,8,3,2,3,9,6,6,18,4,12,4,24,
8,24,8,24,24,8,8,1,6,9,3,6,2,6,2,6,6,8,8,2,4,2,4,4,2,2,24,4,24,8,24,4,8,24,8,
8,8,8,1,3,3,2,1,1,1,1,2,4,2,2,2,12,2,12,2,4,2,2,2,2,2,8,8,1,2,1,1,2,2,2,2,2,
1],[1,7,8,4,1,2,2,2,12,4,12,4,14,10,1,2,1,5,4,6,4,4,4,4,4,4,4,4,4,8,1,1,2,2,2,
1,1,1,3,2,1,2,4,4,2,2,2,2,2,1,1,1,2,2,2,2,2,1],[1,5,2,4,4,8,1,1,1,4,2,6,4,8,4,
4,4,4,8,8,8,8,8,1,1,1,2,2,2,4,2,2,2,8,4,2,2,2,2,4,4,8,4,8,8,2,1,2,1,1,1,1,2,2,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,13,18,4,4,3,2,9,15,2,6,42,24,8,4,60,4,8,8,1,1,6,
6,9,15,1,2,2,2,2,4,2,6,8,24,32,4,4,8,8,4,8,48,4,8,8,8,1,3,1,3,1,3,2,2,12,1,4,
2,2,2,2,4,2,4,2,12,2,8,8,1,1,1,1,1,1,2,1,2,2,2,1],[1,5,10,4,4,1,1,5,2,6,4,8,4,
16,4,8,8,16,1,2,2,1,1,2,2,2,2,2,2,8,8,8,8,8,16,1,1,1,2,2,4,4,4,4,4,1,2,2,2,
1],[1,5,10,4,20,1,1,5,4,6,2,4,8,8,8,4,8,12,16,4,16,24,24,16,16,8,2,2,1,2,2,2,
2,4,4,2,2,2,4,4,4,8,4,4,8,4,12,4,8,8,8,4,16,4,4,12,8,8,8,24,8,8,24,1,1,1,1,1,
2,2,3,2,1,2,4,2,4,4,2,2,2,6,4,8,4,8,8,8,1,1,2,1,2,2,2,2,2,1],[1,9,6,8,1,7,3,8,
12,4,4,4,12,4,8,16,1,3,3,2,2,2,12,2,8,4,4,4,4,8,8,8,2,1,1,1,1,2,1,2,2,2,4,4,2,
2,1,1,1,2,2,1],[1,7,8,12,1,2,2,6,12,4,8,12,14,10,8,8,1,2,3,5,2,4,2,2,2,4,4,4,
4,4,4,4,8,4,4,8,4,8,8,8,1,1,1,1,2,1,2,1,2,1,1,1,1,1,2,2,2,4,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,12,4,1,4,6,12,18,6,8,1,3,3,12,12,4,4,1,3,
3,2,2,1,1,1,1],[1,3,4,4,16,1,2,2,2,4,6,4,10,8,8,4,4,8,8,8,1,2,2,1,2,3,2,2,4,4,
4,6,8,4,6,4,4,4,8,8,1,2,1,1,2,2,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,3,4,6,10,16,1,2,
6,2,5,3,6,6,2,8,2,4,12,12,4,4,24,32,24,24,12,1,1,3,3,6,6,6,6,6,2,2,8,3,1,1,8,
8,2,2,2,2,2,2,2,2,2,2,8,24,24,4,4,4,4,24,24,8,8,8,1,1,3,3,1,1,1,1,1,1,1,2,12,
2,2,2,2,12,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,10,10,7,2,2,4,
5,5,6,6,10,4,4,20,4,1,1,1,5,5,2,6,6,3,10,3,10,4,2,2,6,4,4,4,1,3,5,3,1,3,1,6,2,
2,2,2,1,1,1,1,1,1,1,1],[1,5,10,4,4,1,1,5,2,6,4,8,8,4,16,12,1,2,2,1,1,6,4,2,4,
4,2,2,2,8,4,8,2,4,4,4,8,1,1,1,1,1,1,1,2,1,1,2,1,1,2,5,3,3,2,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,6,4,1,2,2,4,2,3,3,6,6,2,2,2,4,4,8,4,12,1,3,1,
1,2,1,2,2,6,4,6,2,2,2,2,2,2,2,4,4,4,4,4,4,8,4,8,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,2,2,1,1,1,1,2,2,1,1,2,2,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,2,
2,16,1,2,1,1,2,8,4,4,4,4,8,4,4,8,8,8,4,4,1,1,2,1,2,4,2,1,2,2,2,1,2,1,2,1,2,2,
2,2,2,2,2,2,4,8,8,8,8,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,3,4,6,10,4,1,6,4,1,3,4,4,2,2,4,4,4,4,8,4,4,4,4,8,4,1,1,1,1,2,2,2,1,2,2,2,1,
2,4,1,2,2,2,2,2,4,2,2,2,2,8,8,8,8,1,1,1,2,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,3,6,10,8,1,2,2,2,5,3,6,6,2,4,2,4,4,4,12,4,4,8,4,1,3,1,1,6,2,6,1,
4,2,1,2,2,2,1,2,2,4,2,2,2,2,2,4,2,4,4,4,4,4,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,3,6,10,8,1,2,4,1,3,4,4,2,4,4,6,4,8,4,4,4,4,4,4,8,1,1,
2,1,1,2,2,2,1,2,2,1,2,4,1,2,2,2,2,2,2,2,4,2,2,8,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,10,8,1,2,1,1,4,4,6,4,4,4,4,8,4,4,4,4,
4,8,4,4,1,1,2,3,4,2,1,2,1,2,2,1,2,2,1,2,2,2,2,2,2,2,2,4,8,8,8,8,1,1,2,1,1,2,1,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,2,4,2,2,4,4,2,4,4,2,8,4,
4,8,8,1,2,2,2,1,2,1,2,4,2,2,2,2,2,2,4,4,4,4,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,10,
1,1,5,4,8,4,4,16,4,4,8,2,2,1,2,2,2,2,2,4,8,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,1,
1,1,1],[1,5,2,4,8,1,1,1,4,2,4,6,4,4,4,4,4,4,4,8,1,1,1,2,1,2,2,3,2,2,1,4,1,2,2,
2,2,2,2,2,2,4,2,2,1,1,1,1,1,2,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,
4,10,6,4,1,2,6,2,4,3,5,6,6,2,2,8,4,12,4,8,4,1,1,3,3,6,6,2,1,2,6,1,8,1,2,4,2,2,
2,2,4,2,2,2,2,4,4,4,1,3,3,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,
4,4,8,4,1,2,2,6,2,2,4,4,2,2,6,4,2,4,4,4,4,8,8,8,8,1,1,2,3,1,1,1,2,1,2,2,2,4,4,
2,2,2,2,2,2,2,4,8,2,4,4,2,2,4,8,4,8,4,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,1,1,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,4,6,
4,4,3,2,3,9,6,6,2,18,2,2,4,2,4,4,8,4,6,1,9,1,6,2,3,1,1,2,2,1,6,2,2,2,2,2,4,2,
4,2,2,2,2,2,4,4,1,3,1,3,1,1,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,6,4,8,
3,2,3,9,2,18,2,4,4,4,4,4,4,4,4,8,6,9,1,1,2,1,1,2,2,1,4,1,2,2,2,2,4,4,2,2,2,2,
4,4,2,2,4,4,4,1,1,1,1,1,2,2,1,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,
8,1,2,4,4,6,6,4,4,8,8,1,1,3,2,4,2,2,2,2,2,4,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,1],[1,3,2,6,8,1,2,3,1,6,4,2,4,4,4,4,4,4,8,4,1,1,1,1,2,2,2,2,1,4,
2,1,2,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,5,2,12,8,1,1,1,4,6,4,2,4,12,4,4,8,8,4,4,4,8,1,3,1,2,1,2,1,2,2,2,1,4,
1,2,2,2,2,2,2,2,2,8,4,2,8,2,8,8,1,2,1,1,1,1,2,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,3,4,20,1,2,4,4,10,4,6,8,8,12,12,8,1,2,3,2,2,1,2,2,4,6,8,12,6,8,4,
8,8,1,1,1,2,2,2,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,3,2,14,8,1,2,3,1,4,4,2,4,4,6,4,
8,4,4,4,4,4,4,8,4,1,1,2,1,1,2,1,4,2,1,2,2,2,2,2,1,2,2,2,2,2,2,2,4,2,8,8,8,8,1,
1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,14,12,1,2,3,1,4,4,
2,6,4,4,4,8,8,4,4,4,4,4,8,8,4,1,1,1,2,1,2,2,2,2,4,2,2,2,1,2,1,3,2,2,2,2,2,2,2,
2,2,2,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,6,10,12,1,2,4,1,3,4,4,2,6,4,4,4,8,8,4,4,4,4,8,
8,4,1,1,1,2,1,2,4,1,1,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,8,8,8,8,1,1,
1,1,1,1,2,1,1,1,1,2,1,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,3,10,6,4,1,2,2,2,4,3,5,6,6,2,2,4,4,4,12,4,4,1,3,1,1,2,6,2,6,2,4,1,1,2,3,
2,2,4,2,2,2,2,2,2,2,2,2,2,4,8,8,4,4,1,1,1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,4,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,4,8,1,2,2,4,6,12,4,12,8,14,6,
8,8,1,1,2,2,3,2,6,2,2,2,4,4,4,4,2,2,4,4,4,2,4,4,4,2,8,4,8,4,8,1,1,1,1,1,1,2,1,
1,1,1,1,2,1,2,1,2,1,3,1,2,3,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
9,6,2,6,4,1,7,3,1,1,12,2,2,2,2,12,2,4,12,8,4,8,4,1,3,3,1,1,1,1,1,1,8,2,2,6,2,
2,2,4,2,2,4,2,8,2,2,2,2,4,2,2,4,4,4,4,4,4,4,1,2,3,2,1,1,1,1,1,1,1,1,2,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,
4,4,6,6,8,8,1,1,3,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,10,10,1,2,2,2,4,5,5,
6,6,6,4,4,4,4,12,8,4,1,1,1,3,2,2,1,2,2,6,6,3,4,2,4,3,2,4,4,2,2,6,4,4,4,4,1,1,
1,1,1,2,2,2,1,1,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,3,4,12,1,16,18,6,6,8,3,1,
12,3,12,4,4,1,3,3,2,2,1,1,1,1],[1,3,10,6,8,1,2,2,2,4,3,5,6,6,2,4,2,4,4,4,12,4,
4,8,1,3,1,1,6,2,6,2,2,1,2,1,4,1,2,4,4,2,2,2,2,2,2,4,2,2,4,4,4,4,1,1,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,6,8,7,2,2,3,3,6,6,6,4,4,8,12,
4,4,4,4,1,3,2,2,3,6,6,1,1,6,1,1,6,2,2,2,2,2,2,2,2,8,4,4,4,4,1,3,2,3,1,1,1,1,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,6,8,7,4,3,3,6,4,4,4,8,12,4,4,8,8,1,1,
1,3,2,2,3,2,3,2,2,6,3,6,2,2,6,8,8,8,8,2,1,1,3,1,3,1,3,2,6,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,4,4,1,2,4,2,4,4,2,4,8,1,2,2,1,1,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,
4,2,12,4,1,1,1,2,6,6,4,2,2,12,2,4,8,4,8,4,8,4,1,1,3,2,2,1,1,2,2,2,1,2,2,1,2,2,
2,2,2,2,2,2,2,8,2,8,2,2,8,8,1,2,1,1,1,1,2,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,4,10,6,16,1,2,6,2,4,3,5,6,6,2,8,2,4,12,12,4,24,24,24,32,12,1,1,3,3,
6,6,8,3,1,6,6,1,6,2,2,8,8,4,2,2,2,2,2,2,2,2,2,2,8,4,24,24,4,4,24,24,8,8,8,1,1,
3,3,1,1,1,1,1,1,1,12,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,8,8,1,1,1,1,1,1,1,2,2,2,2,
1],[1,5,2,2,6,4,1,1,1,4,1,1,4,6,2,2,2,2,4,8,8,4,8,4,1,1,1,1,2,2,2,1,3,1,2,4,2,
2,2,4,2,4,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,3,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,8,6,2,6,4,1,7,3,4,28,1,1,12,2,
2,2,2,12,2,4,4,8,4,8,4,8,8,1,14,3,3,4,1,1,1,6,1,1,1,8,2,2,2,12,2,2,2,2,2,4,2,
2,4,2,2,2,2,4,2,4,4,4,4,8,4,4,8,4,1,1,1,1,1,6,1,6,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,2,8,8,1,1,
1,4,4,4,4,4,8,4,4,8,4,8,8,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,8,2,4,8,4,8,4,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,3,4,12,1,2,6,4,4,6,8,8,4,4,1,2,2,1,2,1,2,2,2,4,6,4,8,6,4,1,1,1,2,2,
2,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,3,4,12,8,1,2,4,4,6,4,6,8,8,4,8,16,8,1,2,2,2,1,
2,1,2,2,4,4,6,8,6,4,8,8,16,1,1,1,2,2,2,2,4,4,4,2,4,2,1,1,1,2,2,1],[1,3,4,4,2,
10,1,2,2,6,1,1,4,4,2,4,4,4,4,8,8,4,4,4,1,1,1,2,1,2,1,2,4,4,2,2,2,2,2,4,4,4,4,
2,4,4,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,2,10,8,1,2,2,6,1,1,4,4,2,4,4,4,4,8,8,8,4,
4,4,8,8,1,1,1,2,1,2,1,2,2,4,2,2,4,2,2,2,2,4,4,2,4,4,2,2,4,4,4,8,8,8,8,4,12,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,5,4,2,2,6,1,1,1,2,6,1,1,4,2,2,4,6,4,8,8,8,4,1,1,2,1,2,
2,2,1,1,1,3,2,2,4,2,2,2,2,2,4,4,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,
1,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,4,8,4,1,2,2,
6,2,2,4,2,2,2,4,6,8,4,4,4,8,8,8,8,1,1,2,1,1,1,1,3,2,4,2,2,4,2,2,2,4,4,4,4,2,4,
4,4,2,4,4,8,8,4,4,4,4,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,3,2,1,1,
1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,6,6,7,4,3,3,6,4,8,12,4,4,1,1,
1,3,3,2,2,4,2,3,6,3,6,2,2,6,2,1,1,3,2,1,3,1,3,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,
4,2,14,4,1,6,3,1,4,4,2,2,4,4,4,4,8,4,4,4,4,4,8,4,1,1,1,1,2,2,1,1,2,4,2,2,2,2,
1,2,2,2,2,2,2,2,4,2,2,8,8,8,8,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,7,4,8,7,4,2,4,2,8,4,8,8,1,2,2,1,1,4,4,4,8,4,8,2,1,2,1,1,2,2,1,1,1,
1],[1,7,4,7,4,2,2,4,4,8,1,6,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,6,2,16,1,
2,4,1,3,2,8,2,4,12,4,4,4,8,8,4,8,1,1,3,1,2,2,2,1,2,2,2,1,4,1,2,2,2,2,2,2,2,4,
2,8,2,8,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,6,
14,1,2,4,3,3,4,4,10,4,4,4,4,8,4,4,4,8,4,1,1,1,1,2,2,2,3,2,3,4,2,2,2,4,3,2,2,2,
6,8,8,8,8,1,1,2,1,1,1,2,2,1,1,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,2,4,4,1,
1,1,2,6,2,4,6,2,4,2,4,4,4,8,4,1,1,1,2,2,2,1,3,2,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,2,2,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,10,2,6,8,1,
1,5,6,6,1,1,4,8,2,4,2,16,2,4,4,8,8,8,4,16,8,8,2,1,2,1,2,1,2,3,1,1,1,2,2,2,2,2,
4,10,2,2,2,2,2,2,8,4,4,4,2,4,2,8,2,4,4,4,4,4,8,4,8,4,8,1,1,1,1,1,2,1,1,1,1,1,
1,2,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,5,4,2,2,6,8,1,1,1,2,6,1,1,4,6,4,2,4,2,4,4,8,8,8,4,8,8,1,1,2,1,2,2,2,
1,2,1,3,1,2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,2,2,4,8,4,4,4,8,4,4,4,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,3,4,4,4,8,12,1,2,2,6,2,2,4,4,6,2,2,4,2,4,4,12,4,8,8,16,8,8,8,8,
1,1,2,1,3,1,1,2,1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,2,8,4,4,8,4,4,4,8,8,4,
4,4,4,4,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,6,4,6,6,8,1,1,3,2,4,4,
4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,4,10,2,6,1,1,5,6,6,1,1,4,8,2,2,4,16,2,4,4,8,8,
4,2,1,2,1,2,1,2,3,1,1,1,2,2,2,2,4,10,2,2,2,2,2,2,2,4,8,4,4,4,2,2,2,4,4,4,4,4,
1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,1,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,3,4,12,8,1,6,4,12,6,2,16,4,4,8,8,8,1,3,4,1,2,8,2,2,2,
4,2,2,4,2,4,4,8,4,4,16,1,1,1,2,2,2,2,4,2,2,4,4,4,1,2,1,1,2,1],[1,3,4,12,1,6,4,
12,6,2,16,8,1,3,4,1,2,8,4,8,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,2,14,8,1,6,3,1,
4,4,2,4,4,2,4,4,8,4,4,4,4,4,4,16,8,12,1,1,1,1,2,2,2,2,2,2,2,2,4,3,2,1,1,2,2,2,
2,2,2,2,2,2,2,8,8,8,8,8,8,8,8,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,2,4,8,8,1,1,1,4,4,6,4,6,4,8,4,8,8,4,4,
4,8,1,1,2,1,1,2,3,2,2,2,1,2,4,1,2,2,2,2,2,2,4,2,8,2,8,2,8,8,1,1,1,2,1,2,1,1,2,
2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,6,4,6,6,4,4,8,8,8,1,1,3,2,2,
4,2,4,4,2,4,2,2,2,4,4,4,1,1,1,2,2,2,2,4,2,2,4,4,4,1,1,2,1,2,1],[1,5,4,2,4,8,4,
1,1,1,2,6,4,6,4,6,2,8,2,8,4,8,4,8,4,1,1,1,2,2,1,3,2,2,2,2,2,1,2,1,2,2,2,2,2,2,
2,2,8,2,8,2,2,8,8,1,1,1,2,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,
12,7,6,6,8,8,12,1,3,3,2,2,4,12,6,4,6,4,2,1,1,3,2,6,6,2,4,4,1,1,1,2,2,1],[1,7,
4,7,2,2,16,4,8,1,1,1,8,4,4,4,4,1,1,1,2,2,1,1,1,1],[1,7,2,10,4,7,4,1,1,4,4,2,2,
4,2,4,8,8,4,4,4,4,1,1,1,1,6,2,1,2,4,2,2,2,2,8,4,2,4,2,4,4,4,8,4,4,1,2,1,1,1,1,
1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,5,2,16,1,1,1,8,4,4,16,8,16,8,8,8,1,4,4,2,2,2,2,2,8,4,4,4,4,8,8,8,8,1,1,
2,1,1,1,2,2,2,2,4,2,2,4,1,1,1,2,2,1],[1,5,2,8,1,1,1,4,4,8,4,8,4,1,2,2,4,2,2,4,
2,4,8,4,4,4,1,1,1,2,1,1,2,2,2,2,4,4,2,2,1,1,1,2,2,1],[1,7,8,4,8,1,2,2,4,6,12,
4,4,8,14,14,8,8,1,1,2,2,2,2,7,2,2,2,4,4,4,2,2,6,4,12,4,6,4,4,8,4,4,8,1,1,1,1,
1,3,1,2,1,1,3,3,1,1,1,1,3,2,1,2,3,1,4,4,4,4,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,
3,4,2,10,4,1,2,4,1,1,4,4,6,2,4,2,4,8,8,4,4,4,4,1,1,1,1,2,2,3,4,2,2,2,2,2,4,4,
4,2,4,8,4,4,8,4,4,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,2,2,1,2,1,1,2,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1],[1,3,4,2,10,12,1,2,4,1,1,4,4,2,6,4,2,4,4,4,8,12,4,4,
4,16,8,8,1,1,1,3,2,2,1,2,2,2,2,4,2,2,2,2,2,4,2,4,4,2,8,2,4,8,8,4,8,8,12,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,1,1,1,1,1,2,2,1,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,3,2,6,16,1,2,3,1,2,8,2,4,4,4,12,4,4,8,8,8,4,1,1,3,1,2,1,
4,2,2,2,1,2,2,2,1,2,2,2,2,2,2,2,4,8,2,8,8,8,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,5,2,2,6,4,1,1,1,4,1,1,4,6,2,2,2,2,4,8,8,4,8,4,1,1,1,1,
2,2,2,1,3,1,2,2,4,2,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,
1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,4,2,4,4,1,1,
1,2,6,6,4,2,2,2,8,4,4,8,4,1,1,1,2,4,2,1,1,2,2,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,2,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,6,12,1,6,3,1,
6,6,4,4,4,8,4,4,8,8,8,4,1,1,1,1,2,2,1,2,2,1,4,2,2,2,1,2,2,2,2,2,2,2,4,2,10,8,
8,8,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,4,7,28,2,2,
4,4,8,1,14,1,1,2,4,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,2,10,4,1,2,4,1,1,4,4,2,
2,4,6,4,4,4,8,4,4,4,4,1,1,3,1,2,2,1,2,2,4,2,2,2,2,2,4,4,2,4,4,4,4,4,8,8,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,3,4,4,8,1,4,6,4,8,6,2,8,8,1,1,2,1,2,4,4,4,8,8,4,1,1,2,1,2,2,2,1,1,
1,1],[1,3,4,12,1,6,12,6,6,8,8,1,3,3,4,12,12,4,1,3,3,2,2,1,1,1,1],[1,3,4,2,6,8,
1,6,3,1,6,4,6,4,4,4,4,4,16,8,12,1,1,1,2,1,2,2,2,2,4,3,1,1,2,10,2,2,2,2,2,2,2,
2,8,8,8,1,1,1,2,1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,6,6,8,
1,2,2,6,4,3,3,6,4,8,4,4,4,8,8,8,8,4,4,1,1,1,1,1,2,2,2,1,1,2,2,4,4,6,1,3,2,2,4,
4,5,4,4,2,2,1,2,4,4,3,5,2,8,6,2,6,4,8,6,10,6,6,4,4,1,1,1,1,2,1,1,2,1,1,1,2,1,
3,2,2,1,1,2,1,2,2,2,1,2,1,1,2,2,2,3,2,2,1,2,4,4,4,2,2,6,6,4,2,2,6,2,6,4,2,2,2,
4,2,4,4,2,2,2,6,4,2,2,2,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,1],[1,3,4,12,8,
1,2,4,6,4,6,8,8,4,4,8,1,2,2,1,2,1,2,2,2,4,6,8,6,4,8,4,8,1,1,1,2,2,2,4,2,4,2,2,
4,4,1,1,1,2,2,1],[1,5,2,8,1,1,1,4,4,4,8,4,8,1,4,2,2,2,2,2,4,4,4,4,8,4,1,1,1,1,
1,2,2,2,2,2,2,4,4,2,1,1,1,2,2,1],[1,7,8,4,8,1,2,2,2,12,4,4,14,6,4,4,8,8,8,1,2,
1,3,4,4,2,2,4,2,4,4,2,2,4,2,4,4,8,4,4,4,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,5,4,2,8,4,1,1,1,2,6,4,4,4,2,8,2,4,8,8,8,4,1,1,2,2,1,1,1,2,2,2,2,4,2,4,4,
2,8,2,4,4,8,8,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,2,2,1,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,12,8,7,4,6,4,6,8,12,8,1,2,2,3,3,2,2,12,6,
6,4,8,4,8,1,2,3,1,2,6,6,2,4,4,1,1,1,2,2,1],[1,3,4,4,8,1,2,4,4,2,4,2,4,8,8,16,
1,2,2,1,1,4,4,8,4,4,8,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,4,8,1,2,4,2,4,2,4,4,8,8,8,
1,2,1,1,2,4,4,4,4,8,8,1,1,1,2,2,2,2,1,1,1,1],[1,3,12,4,8,1,4,2,12,4,4,18,2,4,
4,8,8,8,3,1,1,2,12,2,2,2,2,2,4,2,4,4,8,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,1],[1,7,4,8,7,2,2,4,4,2,2,8,4,4,8,8,1,2,1,2,1,4,4,4,4,4,4,4,4,1,2,1,2,
1,2,2,1,1,1,1],[1,9,6,4,8,3,2,3,9,6,18,6,4,4,4,4,4,4,8,1,6,9,1,1,3,2,2,1,2,4,
1,2,6,6,2,2,2,4,2,4,2,2,4,4,4,1,3,1,3,1,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,5,4,2,2,6,8,1,1,1,2,6,1,1,4,6,4,2,4,2,4,4,8,8,8,4,8,8,1,1,2,1,2,2,2,1,2,
1,3,1,2,2,2,2,2,2,2,2,8,2,4,4,2,2,4,2,2,2,4,4,4,8,4,4,4,4,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,7,6,14,7,4,3,3,4,4,6,4,4,4,4,8,4,4,12,4,1,1,1,3,2,3,2,2,3,2,6,2,3,6,
8,2,2,6,8,8,8,1,1,3,2,3,1,2,3,1,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,10,8,7,1,1,
4,4,2,4,4,4,4,8,8,4,4,4,4,4,4,4,1,1,2,2,2,1,2,1,1,2,2,1,2,1,2,8,2,2,2,2,2,2,2,
2,8,8,8,8,1,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,10,4,
1,2,2,2,5,3,6,6,2,2,4,4,4,12,4,4,4,1,3,1,1,2,6,2,6,2,2,2,4,2,1,1,3,2,2,2,2,2,
2,2,2,2,2,8,4,8,4,4,4,1,1,1,1,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,10,8,1,1,5,4,8,4,4,16,4,4,8,16,8,2,2,1,2,2,2,
2,2,4,8,4,4,4,8,4,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,9,6,2,6,
12,1,7,3,1,1,12,2,6,2,6,12,2,4,4,8,12,8,4,16,8,8,1,3,3,1,3,3,1,1,1,8,2,2,4,4,
4,2,4,2,2,2,4,2,2,2,2,2,4,2,8,2,12,2,2,4,4,4,4,4,8,4,8,4,1,1,1,1,1,3,1,1,1,1,
1,2,1,1,1,1,1,1,1,4,1,1,1,1,4,1,2,1,1,1,2,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,9,6,2,6,4,1,7,3,8,1,1,12,2,2,2,2,12,2,4,4,8,4,8,4,1,3,3,1,1,1,
12,1,1,1,8,2,2,2,2,2,2,2,2,4,2,2,4,4,2,2,2,2,4,2,4,4,4,4,4,4,2,1,1,2,1,1,1,1,
1,1,1,2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,7,4,8,8,7,4,2,2,4,4,4,2,4,2,4,4,8,4,8,8,8,8,1,2,2,2,6,1,2,1,2,2,2,2,
2,2,4,2,4,4,4,2,4,4,4,8,2,4,4,4,8,4,4,4,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,2,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,10,
4,1,2,6,2,5,3,6,6,2,2,8,4,12,4,4,8,4,1,1,3,3,6,6,1,1,8,2,2,6,1,2,2,2,2,2,2,2,
4,2,2,4,4,4,4,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,6,10,
8,1,6,4,1,3,4,4,2,4,4,2,4,4,8,4,4,4,4,4,8,16,12,1,1,1,1,2,2,2,4,2,3,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,1,1,1,1,1,1,4,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,4,1,6,6,10,8,8,1,1,5,4,4,
4,4,1,1,2,2,1,2,2,1,1,1,1],[1,5,4,2,4,20,4,1,1,1,2,6,4,6,2,4,8,8,4,2,12,2,16,
8,24,4,24,16,16,8,8,8,1,1,2,2,2,1,1,1,4,2,4,2,4,4,2,2,2,8,2,2,4,2,8,12,4,8,2,
4,16,4,2,12,2,2,8,8,8,4,8,8,4,16,24,4,4,8,1,1,1,1,2,1,1,1,1,1,1,2,2,4,1,4,1,2,
3,1,1,1,2,1,1,1,4,8,4,4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,
12,4,1,2,2,6,4,4,2,6,2,4,2,8,12,4,12,1,1,1,1,1,3,2,1,4,4,4,4,12,4,4,8,4,4,12,
4,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,1,1,1,1,3,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,7,12,7,4,6,6,8,12,12,1,3,3,4,12,12,4,1,2,3,3,2,1,1,1,1],[
1,3,6,2,8,1,2,4,1,3,6,4,2,4,4,4,4,4,4,8,1,1,1,1,2,2,2,2,2,2,1,2,1,4,1,2,2,2,2,
2,2,2,4,2,2,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,6,2,
12,1,6,4,1,3,6,6,4,8,4,4,4,8,8,8,4,1,1,1,1,2,2,2,1,2,2,2,2,1,4,1,2,2,2,2,2,4,
2,2,2,10,8,8,8,2,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,22,
1,4,3,15,24,48,4,60,4,8,4,4,8,6,3,2,18,24,16,12,2,4,60,4,4,8,1,1,3,1,3,12,2,2,
2,12,2,2,4,4,4,4,1,1,2,1,2,1],[1,5,2,8,8,1,1,1,4,4,4,8,8,4,8,1,2,4,2,2,2,4,2,
4,8,4,4,4,4,4,4,8,4,1,1,1,2,1,1,2,2,2,2,4,4,2,4,4,2,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,5,2,2,6,12,1,1,1,4,1,1,4,2,6,2,2,6,4,4,8,12,8,4,8,8,1,1,1,2,3,2,2,1,1,3,
2,2,2,2,2,2,2,2,2,4,4,2,4,8,2,4,4,4,8,4,8,4,4,4,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,
1,1,2,1,1,1,1,2,1,1,1,1,3,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,
16,7,2,2,4,4,6,6,8,12,4,8,8,8,1,2,3,2,3,2,2,4,4,12,4,6,4,6,4,4,8,8,1,1,2,3,2,
2,6,6,4,4,1,1,1,2,2,1],[1,3,4,6,6,8,1,2,4,3,3,6,4,4,4,4,8,4,8,4,4,8,8,1,1,1,1,
2,2,2,1,2,2,3,2,2,4,2,4,3,2,2,2,6,8,8,8,8,1,1,1,2,1,1,1,2,2,1,2,2,2,4,2,2,2,2,
1,1,1,1,1,1,1,1],[1,5,10,2,6,4,1,1,5,1,1,4,8,2,2,2,6,16,2,4,8,8,4,8,4,2,2,1,1,
3,1,1,1,1,2,2,2,4,2,2,4,2,2,2,2,2,4,8,4,2,4,2,2,2,2,4,4,4,4,4,8,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,1,2,1,1,1,4,1,2,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,5,2,4,20,8,1,1,1,4,4,6,2,4,8,8,4,4,12,4,16,4,24,8,24,16,16,8,8,8,1,
2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,2,8,4,2,8,12,4,8,2,4,16,4,2,12,2,2,8,8,8,4,8,
8,4,24,12,12,8,1,1,1,1,2,1,1,1,1,1,1,2,2,1,4,1,2,1,3,1,1,2,3,1,3,4,8,4,4,4,4,
4,4,8,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,5,10,2,6,12,1,1,5,1,1,4,8,2,6,2,2,16,
2,4,8,8,12,8,4,16,8,8,2,2,1,1,1,3,1,1,1,2,2,4,2,2,2,4,2,2,2,2,2,8,4,2,4,2,4,4,
2,8,2,2,4,4,4,4,4,4,8,16,4,8,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,2,1,1,1,1,2,1,1,1,
1,1,1,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,8,8,1,4,6,4,
8,6,2,4,4,8,8,1,1,2,1,2,2,2,4,2,4,4,8,2,2,2,4,8,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,7,8,4,8,1,2,2,4,6,12,4,12,8,14,6,8,8,1,1,2,2,2,2,3,2,6,2,4,
4,4,8,2,2,2,4,2,4,4,4,4,4,4,8,8,8,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,4,6,4,4,3,2,3,9,6,6,6,18,6,
2,2,4,8,4,1,6,1,9,6,3,3,2,2,1,2,1,6,2,6,2,6,2,2,2,2,2,2,4,4,1,3,3,3,3,1,1,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,4,1,2,2,2,12,4,12,4,14,10,1,2,1,5,2,2,6,2,
2,4,4,4,2,2,2,4,4,2,4,8,1,1,1,1,2,1,1,1,1,1,2,1,1,3,5,3,2,3,2,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,1,1],[1,7,8,4,16,1,2,2,8,6,12,4,8,16,14,6,16,8,8,8,8,1,1,2,4,4,
2,2,3,4,2,2,8,4,4,4,4,2,4,2,6,4,4,4,6,8,12,8,4,8,12,8,1,1,1,1,2,1,1,1,2,1,1,3,
1,1,1,2,1,1,1,4,2,1,2,4,3,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,
2,1,1,1,4,4,4,8,4,1,2,4,2,2,2,2,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,3,2,6,4,
1,2,3,1,2,2,8,4,4,4,4,4,4,1,1,3,1,2,2,2,4,2,1,1,3,2,2,2,2,2,2,2,2,2,2,1,1,1,2,
1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,2,2,6,8,1,1,1,2,6,1,1,4,
2,4,2,6,4,8,8,8,8,4,8,8,1,1,2,1,2,2,2,1,1,1,3,2,4,2,2,2,2,4,2,2,4,4,2,2,4,4,4,
12,4,8,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,8,1,2,8,4,6,2,4,4,8,8,8,1,1,1,4,
2,2,4,2,4,2,2,4,2,4,4,4,4,1,2,1,1,2,2,2,4,4,2,2,4,4,1,2,1,1,2,1],[1,7,8,4,1,2,
2,2,12,4,4,14,6,8,1,2,1,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,4,1,2,
2,4,4,2,4,4,8,8,1,2,1,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,4,4,1,1,1,4,2,
6,4,8,4,4,8,1,1,1,2,2,4,2,4,2,4,2,2,2,4,2,4,4,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,3,4,6,6,8,1,2,2,2,3,3,6,6,2,4,4,4,4,12,4,4,8,4,4,1,3,1,2,
6,6,4,2,1,2,1,2,1,2,1,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,2,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,2,4,1,2,4,1,3,6,2,4,4,4,4,4,4,1,1,1,1,2,2,
4,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,3,12,4,1,4,2,12,4,4,18,2,8,3,1,1,2,12,4,4,8,4,1,1,1,2,2,2,2,1,1,
1,1],[1,5,4,10,4,4,1,1,5,6,6,2,4,8,6,2,4,2,16,4,8,4,2,1,2,1,1,2,3,3,2,1,2,2,1,
10,2,2,2,2,2,2,8,2,2,2,2,2,8,8,1,1,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,5,10,4,8,1,1,5,2,4,8,6,4,4,4,16,4,4,4,4,8,2,2,1,1,1,1,3,2,2,2,1,4,
1,2,2,2,2,8,2,2,2,2,4,2,2,8,8,8,1,1,1,2,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,7,2,2,16,7,1,1,2,8,8,4,16,4,4,8,8,4,4,1,1,4,4,1,1,2,2,1,2,1,1,2,2,
2,2,2,2,2,2,2,16,8,8,8,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,3,4,12,1,2,4,4,6,4,2,12,12,8,1,3,2,1,4,12,4,8,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,
4,4,2,2,8,1,2,2,6,1,1,2,4,4,4,8,4,4,4,4,16,8,8,1,1,1,2,1,1,2,2,4,4,2,2,2,2,2,
2,2,2,4,8,4,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,6,
2,8,1,6,4,1,3,2,4,2,4,4,4,4,4,4,8,16,12,1,1,1,1,2,2,4,3,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,8,8,8,8,1,1,1,1,1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,
10,8,1,1,5,4,4,8,12,8,16,8,2,2,1,2,4,6,2,4,2,2,4,2,4,8,2,4,4,12,8,1,1,1,1,1,3,
1,1,1,2,2,2,3,3,3,2,1,2,1,3,1,1,1,1,1,1,1,1,1,2,2,1,1,1],[1,5,4,2,4,4,12,1,1,
1,2,6,2,6,4,8,6,4,6,4,8,8,8,8,8,1,1,1,1,2,1,1,2,1,4,2,4,2,2,2,2,2,4,2,6,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,8,8,8,8,8,8,4,8,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,8,2,4,2,2,2,2,2,8,2,2,2,4,2,4,2,2,4,2,6,2,
2,4,4,6,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1],[1,3,4,4,1,
2,8,4,6,2,8,1,1,1,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,5,2,4,20,1,1,1,4,6,2,4,
8,8,4,4,12,4,16,24,24,16,16,8,8,1,2,2,2,2,4,2,4,4,8,4,4,8,12,4,4,8,4,4,16,4,
12,8,8,8,8,8,24,1,1,1,1,2,1,4,2,2,2,2,2,2,4,4,8,4,4,4,8,1,1,2,1,2,1],[1,3,6,2,
4,1,2,4,1,3,2,2,8,4,4,4,4,4,1,1,3,1,2,4,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,8,1,1,1,4,4,8,8,8,8,8,
8,1,2,2,2,2,2,2,2,4,4,4,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,3,4,2,2,8,1,
2,1,1,2,4,8,4,4,4,4,4,8,4,4,1,1,2,1,2,2,2,4,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,4,
1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,6,2,4,1,6,4,1,3,
2,2,4,4,4,4,4,4,8,4,1,1,1,1,2,2,2,2,2,1,2,2,1,4,1,2,2,2,2,2,4,2,2,2,2,1,1,1,2,
1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,2,8,7,1,1,2,4,4,4,8,8,4,
4,4,4,1,1,2,2,1,2,4,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,8,2,1,1,2,1,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,4,10,4,4,1,1,5,6,6,6,4,8,2,2,2,16,4,4,8,4,1,
2,1,2,1,2,2,3,1,2,2,2,1,2,1,10,2,2,2,2,8,2,8,2,2,2,2,2,8,1,1,2,1,1,1,2,2,2,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,6,4,1,2,3,1,6,2,4,4,4,4,4,4,4,1,1,1,
1,2,2,2,2,4,2,1,1,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,5,2,2,6,4,1,1,1,4,1,1,4,2,2,2,6,6,4,4,8,4,8,4,1,1,3,2,1,2,
2,1,1,3,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,
1,2,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,2,6,4,1,6,3,1,2,
2,4,4,4,4,4,4,4,8,4,1,1,1,1,2,2,2,2,1,1,4,2,2,2,1,2,2,2,2,2,2,2,4,2,2,1,1,1,1,
2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,10,4,8,1,1,5,6,4,8,2,4,4,
16,4,4,4,4,4,8,1,2,2,1,1,2,1,1,2,2,2,1,2,4,1,2,2,2,8,8,2,2,2,4,2,2,2,8,8,1,1,
1,1,2,1,2,2,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,2,2,4,7,4,1,1,2,2,2,4,
4,4,4,4,4,1,1,1,1,6,1,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,4,2,2,
4,2,1,1,1,1,1,1,1,1],[1,3,4,12,8,1,6,12,6,6,4,4,8,8,1,3,3,2,2,2,12,2,2,12,2,4,
4,4,4,4,1,3,3,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,4,8,8,1,2,4,2,2,4,4,4,2,4,2,
8,4,8,4,8,8,8,8,1,2,2,2,1,2,1,2,4,2,2,2,2,2,2,2,2,4,4,2,4,4,4,2,2,4,4,4,8,8,8,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,3,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,8,4,1,2,2,6,12,4,4,14,2,8,1,1,2,1,2,4,4,4,4,4,
4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,5,4,2,4,1,1,1,2,6,4,8,2,2,4,4,8,1,1,2,1,2,1,2,
1,4,2,2,2,2,4,4,4,4,4,1,1,1,1,2,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,8,
2,2,4,7,28,1,1,2,2,2,4,4,4,4,4,4,8,8,1,14,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,4,4,8,
8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,4,6,6,1,2,4,3,3,6,
4,4,4,4,4,8,4,4,1,1,1,1,2,2,2,1,2,2,2,2,3,4,2,4,3,2,2,2,6,1,1,1,2,1,2,1,1,2,2,
1,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,2,6,8,1,6,3,1,2,4,2,4,4,4,4,4,4,4,16,
8,12,1,1,1,1,2,2,2,2,2,4,3,1,1,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,1,1,2,1,1,2,
1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,8,1,1,1,4,4,8,4,4,4,4,8,1,2,2,2,4,
2,2,2,4,2,4,4,4,4,4,1,1,1,1,1,1,2,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,4,4,8,
1,6,6,10,4,4,8,8,1,1,5,4,2,2,4,2,4,2,2,2,4,4,4,4,1,1,2,2,1,2,2,2,2,4,4,4,4,1,
1,1,2,2,1],[1,3,12,4,8,1,4,6,12,18,6,4,4,8,8,8,1,3,3,12,2,2,12,2,4,2,2,2,4,4,
4,4,8,8,1,3,3,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,4,2,2,1,2,2,6,1,1,2,4,4,4,4,
4,4,4,1,1,1,2,1,1,2,4,4,2,2,2,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,2,4,2,4,2,
2,1,1,1,1,1,1,1,1],[1,5,2,4,28,1,1,1,4,10,2,4,8,8,4,20,4,16,16,24,24,16,16,8,
8,1,4,4,2,2,4,2,8,4,4,8,4,8,4,12,4,4,8,4,4,4,16,8,4,12,8,8,8,8,8,8,24,8,16,1,
1,1,2,1,2,1,4,2,2,2,4,2,2,4,4,4,8,4,4,8,8,4,8,1,1,2,1,2,2,2,4,1],[1,3,4,4,6,6,
16,1,2,2,6,4,3,3,6,8,4,4,4,8,4,8,24,16,16,20,20,1,1,1,1,1,2,2,2,1,1,2,4,2,4,2,
5,3,4,6,4,2,1,4,2,2,4,5,4,4,2,3,1,2,4,6,10,6,8,4,6,2,6,6,8,4,8,8,8,8,16,1,1,1,
1,1,2,1,1,1,1,2,2,1,2,2,2,1,1,1,3,2,2,2,1,1,2,2,2,1,2,2,3,1,2,2,2,4,4,2,2,2,6,
2,2,4,2,4,4,4,2,2,2,6,2,2,4,4,6,2,4,2,4,6,6,2,1,1,1,2,1,1,1,2,1,2,2,2,4,2,2,2,
2,2,1],[1,5,2,4,8,1,1,1,4,6,4,2,4,4,8,4,4,4,8,1,1,1,4,1,2,2,1,2,2,1,2,4,1,2,2,
2,2,2,2,4,2,2,2,1,1,2,1,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,
20,7,4,10,10,8,20,12,8,1,5,5,2,2,20,6,12,6,4,8,8,1,3,5,2,6,6,4,4,1,1,1,2,2,
1],[1,3,4,12,8,1,16,18,6,6,4,4,8,8,8,3,1,12,3,2,2,12,4,2,4,2,2,2,4,4,4,16,1,3,
3,2,2,4,4,2,2,4,4,1,1,2,1,2,1],[1,3,4,4,8,1,2,2,2,4,2,4,6,4,4,8,8,8,1,2,1,3,4,
4,4,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,6,2,8,1,6,4,1,3,6,4,6,4,4,4,4,8,
16,12,1,1,1,2,1,2,4,3,1,1,2,2,2,10,2,2,2,2,2,2,2,2,2,8,8,8,1,1,1,2,1,1,1,1,1,
1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,12,1,2,4,6,4,4,6,8,8,4,8,1,2,2,2,
1,2,1,2,2,4,4,6,8,6,4,1,1,1,2,2,2,2,4,4,2,4,2,4,1,2,1,1,2,1],[1,9,22,8,1,4,3,
15,24,48,4,60,4,8,16,8,4,4,8,6,3,2,18,24,16,12,2,4,60,4,4,4,8,4,8,8,8,8,16,1,
1,3,1,3,12,2,2,2,12,2,2,4,4,4,4,8,4,8,4,1,1,2,1,2,2,2,4,1],[1,7,8,4,8,1,2,2,6,
12,4,4,14,2,4,4,8,8,8,1,1,2,1,2,4,4,2,2,4,4,4,2,4,4,2,2,2,4,8,4,4,4,8,1,1,2,1,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,8,1,3,3,6,4,6,8,4,1,3,3,2,4,2,4,12,4,4,
1,1,3,2,2,2,1,1,1,1],[1,3,2,2,18,10,1,1,1,1,6,2,2,1,3,12,3,16,2,6,2,6,4,6,4,4,
4,16,8,4,12,3,1,4,8,2,1,1,3,3,1,3,1,3,3,3,3,2,2,2,2,2,6,2,2,2,8,2,4,2,2,2,2,2,
2,4,4,2,2,4,4,2,2,8,4,8,4,4,1,1,1,1,1,3,3,1,3,3,1,1,1,1,1,2,1,2,1,1,1,1,2,1,1,
1,1,1,1,2,1,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,18,1,1,
3,3,3,3,3,6,9,9,6,4,24,12,18,18,12,24,4,4,4,1,3,3,4,4,6,3,3,2,2,3,3,2,8,6,12,
2,12,2,6,6,6,2,6,6,6,12,4,4,24,4,12,1,1,3,1,1,1,3,3,3,2,2,3,2,3,6,2,2,2,2,2,2,
2,2,2,6,1,1,1,1,1,1,1,1],[1,3,4,1,3,3,6,4,6,4,1,3,3,2,4,2,12,4,1,1,3,2,2,2,1,
1,1,1],[1,1,6,4,1,4,2,2,4,2,4,8,12,1,1,1,2,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,1,6,2,2,16,1,1,1,4,4,2,2,4,4,4,4,4,16,4,4,4,8,8,1,1,1,1,1,2,1,2,1,2,2,2,2,2,
2,2,4,2,2,2,2,2,4,4,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,2,4,12,14,1,1,1,1,3,1,2,2,5,2,5,1,4,4,2,2,2,2,4,2,8,4,4,8,4,16,8,
4,16,8,1,1,2,1,1,1,2,2,1,2,1,1,2,1,3,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,
4,2,2,4,4,2,8,4,2,2,2,2,2,4,2,2,4,8,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,1,2,2,1,1,2,1,2,1,1,1,2,1,2,2,4,2,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,3,2,2,10,10,1,1,1,1,2,2,2,1,4,3,4,3,2,6,2,6,4,6,4,4,4,8,8,4,4,1,1,2,2,
1,1,1,3,1,1,1,1,1,1,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,
2,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,2,1,2,1,1,1,1,1,1,2,2,1,
1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,6,18,8,1,1,3,3,3,3,3,6,
9,9,4,6,24,12,18,18,12,24,4,4,8,4,8,8,1,3,3,4,4,6,3,3,2,2,3,2,3,8,6,12,2,12,2,
6,6,6,2,6,6,6,12,4,4,4,4,24,4,8,4,4,12,4,4,8,8,8,1,1,3,1,1,1,3,3,3,2,2,2,3,3,
6,2,2,2,2,4,2,4,4,4,2,2,4,2,2,4,6,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,2,14,6,10,1,1,
1,1,16,18,3,6,3,3,4,2,6,2,6,6,4,8,4,4,16,12,3,1,12,2,1,3,3,3,3,3,1,3,3,3,3,2,
4,2,2,6,6,6,2,8,2,2,2,2,2,2,12,2,2,2,2,2,4,4,4,4,8,1,1,1,1,1,3,3,1,1,3,3,1,6,
1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,6,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,2,4,12,6,1,1,1,1,3,1,2,2,5,2,1,5,4,4,2,2,2,2,4,2,8,4,4,4,8,8,4,1,1,
2,1,1,1,2,1,1,3,2,2,1,2,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,
2,2,2,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,1,2,1,1,2,1,2,1,2,
1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,2,2,8,1,1,1,4,4,2,2,
4,4,4,4,4,8,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,10,2,6,4,1,1,4,1,1,7,8,2,2,2,
6,14,2,8,4,4,8,4,8,1,1,2,1,1,1,1,1,2,2,2,2,2,5,1,2,1,1,1,2,1,2,2,4,6,2,2,2,2,
4,2,2,2,4,2,2,2,2,4,4,4,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,3,
3,2,1,2,3,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,8,8,6,1,1,1,
1,4,1,3,3,2,2,1,5,4,4,2,2,2,4,6,2,8,4,8,4,4,8,1,1,2,1,1,1,3,1,2,1,1,1,1,4,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,6,2,2,2,2,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,2,1,2,1,1,2,1,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,4,2,4,2,2,4,8,8,12,1,1,1,2,4,2,4,4,4,8,8,1,
1,1,2,2,2,2,1,1,1,1],[1,5,10,2,6,12,1,1,4,1,1,7,8,2,6,2,2,14,2,8,4,8,4,8,20,8,
8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,1,2,5,1,1,2,1,1,2,2,4,6,2,2,4,2,2,2,2,2,4,8,2,2,
2,6,4,4,4,8,4,6,12,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,2,1,2,3,
3,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,2,6,6,10,1,1,1,1,
6,3,6,4,3,3,4,2,6,2,6,6,4,8,4,4,8,4,1,1,2,2,1,3,1,1,1,4,3,1,1,3,1,1,2,2,2,2,6,
2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,2,1,2,1,1,1,1,2,1,2,2,1,1,1,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,1,2,2,8,8,14,1,1,1,1,4,1,3,3,2,2,5,1,4,4,2,2,2,4,6,2,8,4,8,8,4,4,16,8,
16,1,1,2,1,1,3,1,1,4,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,2,
2,2,4,2,8,4,2,6,2,4,2,2,2,4,4,8,8,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,2,
1,1,1,1,2,1,2,2,1,1,1,1,2,2,2,4,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,2,1,1,3,3,4,1,3,1,1],[1,9,1,4,8,3,1,3,4,9,3,
4,1,1,3,2,3,4,1,3,1,1],[1,3,18,4,1,8,1,9,9,3,12,6,24,9,4,1,2,1,3,3,4,3,6,3,1,
1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,4,1,8,1,
9,9,1,3,12,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,
3,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,4,9,3,4,2,1,3,1,3,4,1,3,1,1],[1,3,6,4,1,8,1,3,
3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,2,1,1,3,3,
4,6,3,3,1,1],[1,3,18,4,4,5,1,9,9,12,12,3,18,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,
9,12,6,16,3,2,3,9,18,18,18,16,6,3,9,18,9,18,12,8,1,9,9,12,3,1,1],[1,9,6,12,16,
3,2,3,9,18,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,9,6,12,16,3,2,3,9,
18,6,6,12,12,16,6,9,3,3,6,6,6,12,12,12,8,1,3,3,6,6,4,8,3,1,1],[1,7,12,16,7,6,
6,8,12,16,1,3,3,2,2,12,6,6,8,4,3,6,6,4,8,8,1,1],[1,9,6,4,12,16,3,2,3,9,6,6,18,
12,24,24,24,24,16,1,6,9,3,6,6,6,6,8,8,24,24,24,24,12,8,1,3,3,12,12,4,8,8,1,1,
1],[1,13,18,16,3,2,9,15,42,24,60,16,1,6,6,9,15,6,8,24,32,48,8,12,1,3,3,12,12,
4,8,8,1,1,1],[1,9,6,12,16,3,2,3,9,6,18,6,12,12,16,6,9,3,6,3,6,6,12,12,8,12,1,
3,3,6,6,4,8,3,1,1],[1,7,6,6,16,7,4,3,3,6,4,12,16,1,1,1,3,3,2,3,6,3,6,6,4,4,4,
3,3,3,6,4,4,4,8,1,1],[1,3,18,18,4,1,3,16,18,9,18,12,18,18,18,4,12,12,3,12,6,9,
9,12,18,18,36,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[1,3,6,12,18,4,1,3,3,
16,18,9,9,36,36,4,12,12,3,3,12,9,9,9,9,9,9,9,18,24,1,4,12,12,1,3,3,9,9,9,9,1,
3,3,4,3,1,3,3,1],[1,3,4,12,16,1,6,12,6,6,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[1,3,
4,12,16,1,16,18,6,6,16,3,1,12,3,12,4,16,1,3,3,4,1,1,1],[1,7,6,6,16,7,2,2,3,3,
6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,3,6,6,12,16,1,2,2,3,3,6,6,6,
6,12,12,12,16,3,6,6,3,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,6,18,16,1,
2,2,9,3,6,6,6,12,12,12,16,3,3,6,6,6,3,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,
9,6,12,16,3,2,3,9,18,6,6,12,12,16,6,9,3,6,3,6,6,12,12,12,8,1,3,3,6,6,4,8,3,1,
1],[1,3,12,4,16,1,4,6,12,18,6,16,1,3,3,12,12,4,16,1,3,3,4,1,1,1],[1,9,4,6,16,
3,2,3,9,6,6,18,16,6,1,9,6,3,6,8,12,1,3,3,4,1,1,1],[1,3,4,6,18,16,1,1,3,3,3,3,
3,6,9,9,6,24,12,18,18,12,24,16,1,3,3,4,4,6,3,3,3,3,8,6,12,12,6,6,6,6,6,6,12,
24,12,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,9,6,12,16,3,2,3,9,18,6,6,12,
12,16,6,9,3,6,3,6,6,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,9,6,4,16,3,2,3,9,6,18,
6,16,1,6,9,3,6,6,12,8,1,3,3,4,1,1,1],[1,3,6,6,12,16,1,2,2,3,3,6,6,6,6,12,12,
12,16,3,6,6,3,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,3,4,6,6,16,1,2,6,2,
3,3,6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,7,12,16,7,4,6,6,12,12,
16,1,3,3,12,12,4,16,1,3,3,4,1,1,1],[1,3,4,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,
1],[1,3,18,6,16,1,2,2,12,3,9,6,6,6,12,12,16,3,3,6,6,3,6,12,6,6,12,4,8,8,1,3,3,
6,6,4,8,3,1,1],[1,9,22,16,1,4,3,15,24,48,60,16,4,4,8,6,3,18,24,16,12,60,4,4,
12,1,3,3,12,12,4,4,4,8,1,1,1],[1,3,4,6,6,12,16,1,2,6,2,3,3,6,6,6,12,12,24,24,
24,24,16,1,3,3,6,6,6,6,6,6,8,8,24,24,24,24,4,8,8,1,3,3,12,12,4,8,8,1,1,1],[1,
1,2,6,12,18,4,1,3,3,6,3,3,4,6,6,6,6,12,24,24,12,12,4,4,4,8,8,1,3,3,3,3,6,3,3,
8,6,6,6,6,6,6,12,6,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,2,4,3,1,1,
1,2,2,1],[1,7,6,6,4,7,4,3,3,6,12,12,4,4,4,1,3,6,3,6,6,6,12,1,4,4,4,1,3,3,3,3,
3,3,1,1,1,4,3,1,1,1,1],[1,3,24,16,1,4,12,6,12,12,12,12,16,3,3,6,3,12,6,6,12,
12,4,16,1,3,3,6,6,4,8,3,1,1],[1,7,8,12,4,7,28,6,6,12,12,4,8,8,1,14,3,3,6,12,
24,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,7,8,6,6,12,4,7,28,3,3,6,6,6,12,12,
24,24,4,4,4,8,8,1,14,3,3,3,3,6,6,6,6,6,6,12,12,12,24,1,4,4,4,8,8,1,3,3,3,3,3,
3,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,18,6,4,1,3,6,3,4,6,6,6,6,6,12,12,4,
8,8,1,3,3,3,3,3,3,8,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,6,
30,4,1,3,6,6,6,3,12,16,18,18,12,18,12,4,12,12,3,4,8,6,3,3,6,6,6,6,12,12,12,12,
24,1,4,12,12,1,3,3,6,6,12,12,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,3,2,12,6,4,1,1,1,6,
3,12,3,16,12,12,12,8,3,1,4,8,3,3,3,3,3,3,3,6,8,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,
1,1,1,1,1],[1,1,6,12,4,1,3,3,6,3,3,4,6,6,6,6,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,4,
4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,14,6,4,1,1,16,18,3,6,4,6,6,6,20,3,
12,2,3,3,4,6,6,12,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,3,6,6,6,18,4,1,1,3,3,
6,3,6,3,3,6,6,6,6,6,24,12,12,24,4,12,12,1,3,2,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,1,4,12,12,1,3,3,3,3,3,3,6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,
3,4,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,3,2,12,6,4,1,1,1,16,18,3,3,12,12,
12,8,3,1,12,3,3,3,3,3,3,3,6,8,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,9,8,6,
4,1,7,3,4,28,12,12,12,8,1,14,3,3,4,6,8,12,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,
1],[1,1,2,12,6,18,4,3,1,4,3,3,6,3,6,6,6,6,24,12,12,24,12,4,4,4,8,8,1,3,3,3,3,
6,6,3,3,8,6,6,6,6,6,6,12,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,2,4,
3,1,1,1,2,2,1],[1,3,12,12,16,1,4,12,18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,4,
12,1,3,3,6,6,4,4,4,3,1,1],[1,1,18,12,4,1,3,6,3,4,6,6,6,6,6,12,4,8,8,1,3,3,3,3,
3,3,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,12,12,4,1,6,12,16,
6,6,12,12,12,8,3,4,8,3,3,6,6,6,24,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,3,3,
9,12,16,1,1,3,3,9,9,9,6,6,6,6,6,6,16,3,3,9,3,3,3,3,6,6,6,6,6,6,4,4,12,1,3,3,3,
3,3,3,4,4,4,3,1,1],[1,1,12,6,4,3,1,4,3,3,6,3,6,6,6,6,4,4,4,1,3,3,3,3,6,3,3,6,
6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,12,12,4,1,16,18,6,6,12,12,
12,8,3,12,3,3,6,6,6,24,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,1,2,6,12,6,4,1,4,
3,6,3,6,6,6,6,6,12,12,4,8,8,1,3,3,3,3,3,3,8,6,12,6,12,1,4,4,4,1,3,3,3,3,3,3,2,
1,2,4,3,1,1,1,1],[1,3,6,6,12,4,1,1,6,3,6,6,6,6,6,6,12,12,8,12,1,2,3,3,6,3,3,6,
6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,9,6,6,18,4,1,7,3,3,3,
12,6,6,12,6,12,24,24,12,4,12,12,1,3,3,3,3,3,3,8,6,6,6,12,6,6,6,6,6,12,12,12,1,
4,12,12,1,3,3,3,3,3,3,12,12,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,9,6,12,4,1,7,3,12,6,
6,12,12,12,12,8,1,3,3,3,3,8,6,6,12,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,12,12,16,1,16,18,6,
6,12,12,16,3,12,3,3,6,6,6,24,4,16,1,3,3,6,6,4,8,3,1,1],[1,3,12,12,16,1,4,12,
18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,16,1,3,3,6,6,4,8,3,1,1],[1,3,6,4,6,4,1,
3,3,6,3,3,4,12,12,4,4,4,1,3,3,3,3,3,3,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,
1,1,1,1],[1,3,4,24,4,1,6,6,6,4,6,6,12,12,16,4,1,3,3,6,3,3,6,6,6,6,12,1,4,4,4,
1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,1,6,12,12,4,1,4,3,6,3,6,6,6,6,6,12,4,8,8,
1,3,3,3,3,3,3,12,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,12,12,4,
1,16,18,6,6,12,12,8,12,3,12,3,3,6,6,6,24,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[
1,7,12,12,4,7,4,6,6,6,6,12,12,4,8,8,1,3,3,6,3,3,12,12,12,1,4,4,4,1,3,3,3,3,3,
3,1,2,2,4,3,1,1,1,1],[1,3,4,12,16,1,6,4,6,6,12,12,16,1,3,3,12,12,4,16,1,3,3,4,
1,1,1],[1,3,12,12,4,1,3,3,16,12,6,6,12,12,12,8,2,3,3,1,6,3,6,3,6,6,6,6,12,1,4,
4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,3,9,12,4,1,1,3,3,9,9,9,6,6,6,6,6,6,
8,12,3,3,9,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,3,12,
4,1,6,6,6,12,8,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,3,9,12,4,1,1,
3,3,9,6,3,9,6,6,6,6,6,6,12,8,1,3,2,3,6,3,3,6,6,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,
3,3,1,2,2,4,3,1,1,1,1],[1,3,12,12,4,1,4,12,18,6,6,12,12,12,8,3,12,3,3,6,6,6,
12,12,1,4,4,4,1,3,3,6,6,3,4,2,3,1,1,1,1],[1,3,2,6,4,1,1,1,6,3,3,12,8,1,3,4,3,
3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,3,3,9,12,16,1,1,3,3,9,9,
9,6,6,6,6,6,6,16,3,3,9,3,3,3,3,6,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[
1,3,12,12,4,1,4,12,18,6,6,12,12,12,8,3,12,3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,
2,4,3,1,1,1,1],[1,3,3,9,12,4,1,1,3,3,9,9,9,6,6,6,6,6,6,12,8,3,3,9,3,3,3,3,6,6,
6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,9,6,12,4,3,2,3,9,18,6,6,12,
12,12,8,6,9,3,6,3,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,7,8,7,28,8,
1,14,8,1,1,1],[1,3,1,7,14,1,21,1,7,3,7,1,1,2,1,3,1,1],[1,21,8,42,7,14,21,63,
28,28,126,168,252,3,42,42,14,48,63,63,28,42,126,168,168,168,84,504,1,7,14,7,
21,63,42,42,126,42,42,168,252,21,7,42,14,21,42,1,7,7,1],[1,9,8,6,12,12,24,1,7,
3,4,28,16,6,18,12,12,12,12,12,12,16,24,24,24,48,48,48,48,48,1,3,14,3,3,3,4,12,
4,6,6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,48,48,1,1,1,1,
1,2,3,3,3,3,3,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,
24,24,24,24,24,24,1,3,3,4,4,6,6,12,12,12,1],[1,21,42,4,12,7,14,21,63,6,6,126,
168,12,12,252,12,24,24,24,24,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,6,6,6,126,8,
168,168,168,8,12,12,12,12,24,24,24,504,24,24,24,24,24,48,48,7,14,21,3,3,3,63,
3,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
252,12,48,48,48,48,21,1,42,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,24,1,3,3,6,6,6,6,1],[1,9,8,6,24,1,7,3,4,28,12,12,24,12,12,32,24,24,24,1,14,
3,3,6,4,8,6,6,6,6,6,6,16,8,8,12,12,24,24,24,24,24,24,48,1,1,2,1,2,3,3,6,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,1,3,3,4,6,6,6,6,6,6,12,12,12,1,3,3,4,
4,1],[1,13,18,12,36,3,2,9,4,15,12,18,18,42,24,24,36,36,12,36,60,12,72,72,72,
72,72,72,1,3,6,6,9,15,9,18,18,6,6,6,6,18,6,18,6,6,24,24,24,8,24,32,24,36,36,
12,36,12,36,12,12,48,24,24,72,72,72,48,24,72,72,72,24,72,72,72,72,48,48,144,
144,1,3,6,6,8,3,9,3,3,9,12,18,18,6,6,6,12,6,6,6,6,6,6,6,6,6,24,36,36,36,36,12,
36,12,12,12,12,12,12,12,12,12,12,12,12,12,72,72,72,48,48,48,48,144,1,3,2,2,3,
3,3,3,3,18,6,18,6,6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,24,1,3,3,6,6,6,6,1],[
1,9,6,20,36,3,2,3,4,9,12,16,18,30,18,24,36,36,12,36,16,72,72,72,72,72,72,5,6,
9,9,12,18,18,6,18,18,24,24,24,24,36,36,12,36,36,12,12,48,16,72,72,72,24,72,72,
24,72,72,72,72,72,144,144,48,1,1,6,6,8,9,3,9,4,12,6,18,18,6,6,6,24,12,36,36,
36,36,36,12,12,12,24,72,72,72,24,24,24,144,3,2,3,3,4,18,18,6,6,24,12,12,12,24,
1,1,1,6,6,1],[1,9,8,6,1,7,3,4,28,12,12,12,12,24,1,14,3,3,4,6,6,6,8,8,8,12,12,
24,24,1,1,1,2,2,3,6,6,3,6,6,6,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,9,4,6,12,36,
12,3,2,3,4,9,6,6,12,18,18,18,24,36,36,6,36,6,72,12,72,12,72,72,72,72,24,24,24,
24,3,6,1,9,9,6,18,3,18,3,3,18,18,24,24,24,24,6,36,6,36,6,6,6,6,6,6,6,6,6,6,36,
6,6,36,6,6,48,8,8,72,72,72,12,72,72,72,12,72,12,12,72,72,72,24,24,24,144,24,
24,144,24,24,24,24,24,1,6,6,8,9,9,12,3,18,3,18,3,3,3,3,3,3,3,3,3,3,24,6,6,6,6,
6,6,36,36,36,6,36,6,36,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,72,72,72,12,12,
12,12,24,24,24,24,24,24,24,24,144,3,1,1,1,2,3,18,3,18,3,3,3,3,3,3,3,3,3,3,3,
24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,3,3,3,3,3,3,6,6,1],[1,9,22,
12,12,1,4,3,15,16,6,18,24,48,12,12,60,24,24,24,3,4,4,8,6,3,3,12,6,6,12,6,6,6,
18,12,24,16,12,12,12,12,12,48,24,60,12,12,24,24,24,24,24,1,1,3,3,3,3,3,3,3,3,
6,6,9,3,3,6,12,6,6,12,12,12,6,12,6,6,6,12,12,12,12,6,12,6,12,12,24,24,1,1,3,4,
3,3,3,2,6,3,9,3,3,6,6,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,
1],[1,13,18,4,12,3,2,9,15,6,6,42,24,4,12,60,4,24,24,24,24,1,1,6,6,9,15,3,6,6,
2,2,2,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,8,8,24,48,8,24,8,24,24,16,16,16,1,3,1,3,
1,3,3,2,2,12,2,2,2,2,2,2,12,12,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,16,16,16,16,1,1,
1,1,1,1,1,4,4,4,4,4,4,4,4,4,8,8,1,2,2,2,1],[1,13,18,4,12,16,3,2,9,15,6,6,42,
24,4,8,12,8,60,4,24,24,16,24,24,32,16,16,16,1,1,6,6,9,15,3,6,4,6,2,4,2,2,2,6,
2,6,2,6,8,8,24,32,8,8,8,4,8,8,4,4,4,4,4,4,4,8,8,24,48,8,8,8,8,8,8,8,24,8,8,16,
24,16,24,16,16,16,16,16,16,16,32,32,1,3,2,1,3,1,2,3,3,2,2,2,2,12,2,2,4,2,2,2,
2,2,2,4,4,4,4,4,4,12,8,4,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,1,1,2,1,1,1,1,1,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,2,2,
2,2,2,2,8,8,1],[1,13,18,4,28,3,2,9,15,14,6,42,24,12,28,60,20,32,40,40,24,24,1,
1,6,6,9,15,7,8,6,6,10,6,2,6,10,2,10,6,6,16,8,8,8,24,32,8,12,12,4,8,4,32,8,32,
24,48,32,40,16,24,24,40,24,32,32,1,2,3,2,2,3,5,2,1,3,3,10,2,8,6,6,4,12,6,2,4,
4,6,2,2,2,2,6,4,4,4,8,12,12,8,12,4,12,8,8,4,4,8,4,4,4,4,16,12,8,32,32,24,24,
32,16,32,16,1,1,2,2,2,3,1,1,1,1,4,4,2,2,2,4,6,4,6,2,2,2,4,2,8,2,8,8,12,4,8,8,
4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,1,1,2,1,2,2,4,2,2,2,4,4,4,1],[1,9,8,6,4,4,8,1,7,
3,4,28,2,6,12,12,4,4,4,12,8,8,8,8,16,16,16,16,1,1,14,3,3,1,4,2,2,2,4,2,2,6,6,
2,8,4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,
1,1,2,1,1,2,2,2,2,2,6,2,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
8,8,1,1,1,2,2,2,2,4,1],[1,9,6,4,4,16,1,7,3,8,2,6,12,12,8,4,8,12,8,8,16,8,8,32,
16,16,1,1,3,3,1,2,4,2,4,4,2,12,6,2,8,4,8,8,4,8,8,8,4,4,4,4,4,4,4,8,8,8,8,8,8,
8,8,8,16,16,16,16,16,2,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,
4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,5,10,12,4,1,1,5,16,2,18,4,8,4,
4,8,16,12,8,8,8,16,3,2,2,1,1,12,2,4,2,6,2,2,2,2,4,8,4,4,4,24,8,8,8,8,8,8,8,16,
16,1,2,1,1,1,1,2,2,2,2,2,2,2,6,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,1,2,2,
2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,5,10,4,12,16,1,1,5,6,6,4,8,12,8,12,16,4,
16,8,16,8,8,16,32,16,16,1,2,2,1,3,4,2,2,2,4,2,6,2,2,8,4,4,4,8,4,8,4,4,4,4,8,8,
8,8,8,8,8,8,8,8,8,16,8,8,16,16,16,16,16,32,1,1,1,2,2,1,1,2,4,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,16,16,16,16,1,1,1,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,1,2,2,4,4,1],[1,9,6,4,20,3,2,3,9,10,
6,18,12,20,16,16,16,24,24,24,24,1,6,9,5,4,6,6,8,4,4,6,6,4,6,4,8,8,8,4,4,4,8,8,
24,8,24,16,8,24,24,24,32,1,1,2,3,1,2,3,4,4,2,2,2,2,2,2,2,2,2,12,12,12,4,4,4,4,
8,4,4,12,8,8,4,8,8,1,1,1,2,2,2,2,2,6,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,5,10,4,12,
1,1,5,6,6,4,8,12,12,8,16,4,16,8,8,8,16,1,2,2,1,3,4,2,4,2,2,2,6,2,2,8,4,8,8,4,
4,4,8,8,8,8,8,8,8,16,16,16,1,2,1,1,2,1,1,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,13,18,4,12,
3,2,9,15,6,6,42,24,4,12,60,4,24,24,24,24,32,1,1,6,6,9,15,3,6,6,2,2,2,2,6,2,6,
2,6,8,8,24,32,8,4,4,4,4,8,8,24,48,8,24,8,16,24,24,16,16,32,1,3,1,3,1,3,3,2,2,
12,2,2,2,2,2,2,8,12,12,8,4,4,4,4,4,4,4,4,4,4,8,12,4,16,16,16,16,16,16,1,1,1,1,
1,1,1,4,4,4,4,8,4,4,4,8,8,1,2,2,2,1],[1,9,6,12,12,1,7,3,8,16,6,18,12,12,12,12,
16,8,24,24,16,1,3,3,3,3,12,4,6,6,6,12,6,6,8,8,8,4,12,12,12,12,12,12,24,8,24,8,
16,16,16,1,2,1,1,2,3,3,3,3,2,2,2,2,6,6,6,6,6,2,4,4,4,4,4,4,12,4,4,4,12,12,12,
12,4,4,24,24,3,1,3,3,1,4,2,2,6,2,2,2,12,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,
13,18,8,3,2,9,15,16,42,24,8,4,4,60,8,8,8,16,1,6,6,9,15,2,4,2,4,4,24,4,4,4,6,8,
24,32,4,4,4,4,4,48,8,8,8,8,8,32,16,1,4,3,1,2,2,1,3,2,12,2,2,2,2,2,12,2,2,12,2,
4,4,4,4,4,4,4,4,8,8,8,12,8,8,1,1,2,1,6,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,
9,6,12,12,3,2,3,9,16,6,18,18,20,12,8,24,24,24,24,16,3,6,9,3,12,6,6,4,4,4,10,6,
4,6,4,8,8,12,12,12,24,8,24,24,24,24,16,32,1,1,2,3,2,3,3,6,2,2,2,6,2,6,6,12,4,
12,4,4,8,4,12,8,8,4,12,8,8,1,2,2,3,3,6,2,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,13,18,
4,12,3,2,9,15,6,6,42,24,4,12,60,4,24,24,24,24,32,1,1,6,6,9,15,3,6,6,2,2,2,2,6,
2,6,2,6,8,8,24,32,8,4,4,4,4,8,8,24,48,16,8,24,8,24,24,16,32,16,1,3,1,3,1,3,3,
2,2,12,2,2,2,2,2,2,12,8,12,4,8,4,4,4,4,4,4,4,8,4,4,12,4,16,16,16,16,16,16,1,1,
1,1,1,1,1,4,4,4,4,4,4,8,4,8,8,2,1,2,2,1],[1,13,18,4,12,3,2,9,15,6,6,42,24,4,
12,60,4,16,24,24,24,24,16,1,1,6,6,9,15,3,6,6,2,2,2,2,6,2,6,2,6,8,8,24,32,8,4,
4,4,4,8,8,24,48,8,8,24,24,8,24,24,16,16,16,1,3,1,3,1,3,3,4,2,2,12,2,2,2,2,2,2,
12,12,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,8,8,16,16,16,16,1,1,1,1,1,1,1,6,2,
4,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[1,21,42,8,7,14,21,63,126,168,4,4,252,8,8,16,
16,3,42,42,48,63,63,2,2,126,168,168,168,4,4,4,4,4,504,8,8,8,8,8,8,16,16,16,16,
32,7,14,21,1,1,63,2,2,2,126,2,2,168,4,4,4,4,4,4,4,4,4,252,8,8,8,8,8,8,8,8,16,
16,16,16,21,42,1,1,2,2,2,2,2,4,4,4,4,4,4,8,8,8,8,16,1,1,1,2,2,4,4,1],[1,9,8,6,
8,1,7,3,4,28,4,12,8,8,12,12,8,8,8,16,1,14,3,3,2,4,6,2,6,4,2,2,2,8,4,12,8,8,8,
8,8,8,8,16,16,16,1,1,1,2,1,1,2,2,2,2,2,2,6,2,2,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,13,8,18,3,2,9,15,12,28,42,
24,8,60,8,16,1,6,6,14,9,15,12,4,4,4,18,4,4,4,6,8,24,32,36,48,8,32,16,1,1,3,3,
2,2,3,2,6,2,18,2,12,18,2,6,4,4,4,4,8,8,8,4,12,8,8,1,3,2,2,3,6,2,2,2,4,4,4,4,4,
1,1,1,2,2,1],[1,9,6,8,8,1,7,3,8,4,12,8,4,8,4,12,12,8,16,8,8,16,1,3,3,2,2,6,2,
2,12,4,2,2,2,8,8,4,4,4,4,8,8,8,8,16,8,8,8,16,16,2,1,2,1,1,1,2,1,2,2,4,4,4,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,1,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,
2,1],[1,9,6,24,8,1,7,3,8,12,12,4,24,4,12,12,32,24,24,8,16,16,1,3,3,6,8,2,6,2,
6,12,6,6,6,16,8,8,4,4,4,4,24,24,24,24,8,8,24,8,16,16,32,2,2,1,2,1,3,3,1,6,2,6,
6,2,6,2,2,4,4,4,4,4,12,4,4,12,4,4,24,8,8,8,24,24,24,8,1,3,1,4,2,6,2,2,2,6,2,4,
12,4,4,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,13,8,18,4,12,8,3,2,9,15,12,28,6,6,42,24,
4,4,12,4,60,4,24,8,24,8,24,24,16,16,16,1,1,6,6,14,9,15,3,12,6,2,6,2,2,2,2,18,
2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,4,4,4,4,36,4,4,4,4,4,4,4,4,4,8,8,24,8,48,8,8,
8,8,24,8,8,8,24,8,8,24,8,16,16,16,16,16,16,16,1,1,3,3,1,1,3,1,1,3,3,2,6,2,2,2,
2,2,2,18,2,12,2,2,2,18,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,12,4,4,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,
16,16,16,1,1,3,2,1,1,1,1,1,1,1,3,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,2,2,
4,4,4,4,1],[1,13,18,4,12,16,3,2,9,15,6,6,42,24,4,8,12,8,60,4,24,16,24,16,24,
24,32,16,16,1,1,6,6,9,15,3,6,4,6,2,4,2,2,2,6,2,6,2,6,8,8,24,32,8,4,8,4,8,8,8,
4,8,4,4,4,4,4,8,8,24,8,48,8,8,16,24,16,8,8,16,24,16,8,16,24,16,16,16,16,16,32,
16,16,1,3,2,1,3,1,2,3,3,4,4,4,2,2,12,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,8,4,4,8,
4,4,4,4,12,8,4,12,4,8,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,16,16,8,8,
16,16,16,16,16,16,16,16,16,16,1,1,2,1,1,2,1,1,1,2,4,2,4,2,4,2,2,2,4,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,2,1,1,2,2,2,
2,2,4,4,4,4,1],[1,9,6,12,44,3,2,3,4,9,12,22,18,18,24,36,36,4,44,8,16,72,72,72,
72,72,72,16,3,6,9,11,4,18,18,4,2,18,18,8,24,24,24,24,36,36,4,36,4,36,4,48,8,
72,8,72,72,8,8,72,72,16,8,72,72,72,72,72,16,144,16,144,16,32,1,1,6,6,8,9,1,9,
12,4,18,18,2,2,2,2,2,24,36,36,36,4,36,4,4,36,4,4,4,4,4,8,8,8,8,8,8,8,8,72,72,
72,16,16,16,16,144,3,1,1,18,18,2,2,2,2,2,24,4,4,4,4,4,4,8,8,8,8,16,1,1,1,2,2,
4,4,1],[1,13,18,4,12,3,2,9,15,6,6,42,24,4,12,60,4,24,16,24,24,24,16,1,1,6,6,9,
15,3,6,6,2,2,2,2,6,2,6,2,6,8,8,24,32,8,8,4,4,4,4,8,8,24,48,8,16,24,8,8,24,24,
16,16,16,1,3,1,3,1,3,3,4,4,4,2,2,12,2,2,2,2,2,2,4,12,12,4,4,4,4,4,4,4,4,4,4,4,
4,12,4,16,16,16,16,16,16,1,1,1,1,2,1,1,1,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[
1,13,18,4,12,3,2,9,15,6,6,42,24,20,12,60,20,24,24,24,24,1,1,6,6,9,15,3,6,6,10,
10,10,10,6,10,6,10,6,8,8,24,32,8,4,4,4,4,8,8,24,48,8,24,8,24,24,16,80,1,3,5,3,
5,3,3,4,4,2,2,4,4,12,4,4,2,4,4,2,2,2,2,2,8,12,12,4,4,8,8,20,4,8,4,20,4,20,4,4,
12,4,16,16,16,16,1,1,1,5,1,1,1,4,4,4,4,8,4,8,4,4,8,8,4,8,8,2,2,1,2,1],[1,13,
18,12,20,3,2,9,15,16,10,18,42,24,20,20,60,12,16,24,24,40,40,1,3,6,6,9,15,5,12,
4,10,10,6,2,6,10,6,6,6,2,6,8,8,8,8,24,32,8,20,12,12,20,12,20,16,24,8,24,48,16,
16,40,40,8,24,24,32,32,1,1,1,3,2,1,3,3,3,5,3,5,4,6,4,2,2,6,12,2,4,10,6,2,10,6,
6,6,2,6,4,8,4,12,12,12,8,4,4,8,8,4,12,12,20,4,4,4,4,20,8,12,8,8,24,24,8,16,32,
16,32,1,1,2,2,3,1,1,1,5,3,1,1,3,4,2,2,6,2,2,2,2,2,2,2,4,2,4,2,6,2,2,4,4,8,4,4,
4,8,12,8,4,8,4,4,4,4,8,4,4,4,8,1,1,1,1,1,1,1,2,2,4,2,2,4,4,4,1],[1,5,10,12,4,
16,1,1,5,16,2,18,4,8,4,8,4,16,12,8,16,8,8,16,32,16,16,3,2,2,1,1,12,2,2,6,4,2,
2,2,2,4,4,4,4,4,8,4,4,4,24,8,8,8,8,8,8,8,8,8,8,8,16,8,8,16,16,16,16,32,1,1,1,
2,1,1,2,2,2,2,2,2,6,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,16,16,16,16,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,1,1,1,2,2,4,4,
1],[1,13,18,4,12,3,2,9,15,6,6,42,24,4,12,60,4,24,24,24,24,16,16,1,1,6,6,9,15,
3,6,6,2,2,2,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,8,8,24,8,48,8,8,24,8,24,24,16,16,
16,16,1,3,1,3,1,3,3,2,2,12,2,2,2,2,2,2,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,16,16,16,16,16,16,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[1,
13,18,4,12,3,2,9,15,16,6,6,42,24,4,12,60,4,24,24,24,24,16,1,1,6,6,9,15,3,6,6,
2,2,2,24,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,8,8,24,48,8,24,8,8,24,24,16,16,16,1,
4,3,1,3,1,3,3,12,2,2,12,2,2,2,2,2,2,12,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,
8,16,16,16,16,1,1,1,1,1,1,1,6,2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[1,5,4,10,4,12,
12,1,1,5,6,6,6,6,4,8,12,6,12,6,16,4,16,4,4,8,8,8,24,8,8,24,8,1,2,1,2,1,3,2,4,
2,1,2,2,1,2,3,6,2,2,8,2,2,2,2,2,2,8,6,6,2,10,6,2,4,6,4,6,6,2,2,4,6,8,4,8,4,4,
4,4,4,4,4,8,12,8,8,4,4,4,16,16,8,8,8,8,8,16,1,1,1,2,1,1,2,2,2,1,1,4,2,2,2,1,1,
2,1,1,1,1,2,1,2,2,1,2,2,2,2,2,4,2,6,2,6,2,4,4,2,2,2,2,4,2,4,2,6,6,4,2,2,2,2,2,
2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,1,1,1,2,1,
1,2,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,9,6,8,16,1,7,2,3,2,4,8,12,4,10,14,8,8,12,4,8,16,12,20,24,16,8,
8,16,1,1,3,3,1,4,2,2,2,2,4,2,4,4,8,4,10,6,4,2,8,6,4,8,8,4,8,4,4,4,4,16,4,12,4,
8,4,8,12,4,8,8,8,16,16,8,16,16,1,1,1,1,2,2,1,2,1,3,2,2,2,4,2,4,2,4,2,2,4,4,2,
2,2,4,2,2,2,4,4,4,2,2,2,4,2,2,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,2,2,2,1,1,2,2,2,
2,2,8,4,4,1,1,1,1,1,1,1,1],[1,5,4,2,8,16,4,1,1,2,1,2,6,2,4,8,4,4,10,14,8,2,8,
6,8,8,4,16,4,12,20,24,16,8,8,8,8,1,1,1,1,2,4,3,2,1,1,4,2,4,4,4,10,2,6,2,2,2,8,
2,2,2,2,2,6,2,6,2,6,8,4,4,4,4,12,16,4,12,4,4,4,8,12,4,8,8,8,16,8,8,16,8,16,1,
2,1,2,2,2,2,1,1,1,1,1,1,3,3,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,8,4,4,8,8,4,4,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,4,4,4,1,1,1,
1,1,1,1,1],[1,9,6,4,36,1,7,3,4,14,2,12,8,8,4,4,28,12,16,32,32,40,24,16,16,8,
16,1,3,3,6,8,2,6,6,8,2,6,8,16,8,8,4,4,8,4,4,4,8,32,4,12,24,4,8,8,24,4,16,24,4,
4,28,8,8,8,8,16,8,8,16,24,16,32,2,1,2,1,3,3,6,1,2,6,2,1,6,3,2,8,4,4,2,12,4,2,
2,2,2,12,24,4,4,8,8,24,24,8,4,24,8,8,16,16,8,8,8,1,3,4,1,1,1,6,2,1,1,6,12,2,2,
2,4,2,2,2,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,13,18,8,8,3,2,9,15,16,4,42,24,4,
4,8,4,60,8,8,8,8,16,8,1,6,6,9,15,2,2,4,2,2,24,2,2,2,2,6,8,24,32,4,4,4,4,4,4,
12,48,12,8,4,8,8,8,8,8,8,8,8,16,16,1,4,3,1,1,1,1,3,1,12,2,2,2,12,2,3,2,2,12,2,
2,2,4,2,4,4,4,4,2,4,4,6,2,4,12,2,4,4,4,4,8,8,8,8,1,1,1,6,2,2,1,2,2,2,2,1,2,2,
2,2,2,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,2,8,16,16,1,1,2,1,4,2,4,8,4,4,10,
14,8,8,4,8,8,8,16,8,12,20,24,16,8,8,8,8,8,8,8,1,1,1,4,2,4,2,2,2,4,4,4,2,10,4,
6,2,2,2,4,4,2,2,2,2,2,2,6,4,2,8,8,4,4,4,4,8,16,4,4,4,12,4,4,4,8,4,8,12,4,8,8,
8,16,8,8,8,16,8,8,8,16,16,1,1,2,1,2,1,1,2,1,2,2,2,1,2,1,1,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,8,4,4,4,4,4,4,8,8,8,8,8,8,8,1,2,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,13,18,4,12,3,
2,9,15,6,6,42,24,20,12,60,20,8,8,8,8,1,1,6,6,9,15,3,2,2,10,6,6,10,2,6,2,6,6,8,
8,8,24,32,8,8,8,8,8,8,16,8,16,48,16,8,8,8,8,8,16,48,1,3,2,2,2,3,1,2,3,2,3,1,2,
6,4,4,2,4,4,12,2,6,2,4,6,4,2,2,2,2,4,8,12,12,8,4,12,12,4,8,8,8,12,4,8,8,8,8,8,
8,8,8,1,1,1,1,2,1,1,2,2,1,4,3,2,2,2,1,3,2,1,3,4,2,1,2,2,2,4,2,2,2,6,6,2,2,4,2,
6,2,4,2,6,2,4,8,6,8,6,4,6,4,6,1,1,1,1,1,2,1,2,2,2,1,2,2,2,2,2,4,2,1],[1,9,6,4,
12,1,7,3,8,6,6,12,8,12,12,8,8,16,8,8,8,8,1,1,3,3,3,2,2,4,2,2,12,4,2,2,2,2,8,8,
4,4,4,4,8,8,8,8,16,8,4,8,8,16,8,2,1,1,1,1,1,2,1,2,4,4,4,2,2,2,2,1,2,2,2,2,2,2,
2,2,2,4,4,2,4,4,2,4,2,4,4,4,2,1,2,1,1,1,1,1,1,2,1,2,1,2,2,2,4,2,4,4,2,2,4,1,1,
1,1,1,1,1,1],[1,9,6,4,20,1,7,3,4,6,2,12,8,8,4,4,12,12,8,16,24,24,16,16,8,16,1,
3,3,2,2,2,2,4,2,2,4,8,4,4,8,4,4,4,8,16,4,12,4,8,8,4,16,4,4,8,12,8,8,8,8,8,8,8,
16,24,1,1,1,1,1,2,2,1,2,3,2,4,4,4,2,4,4,4,2,2,2,2,4,4,4,8,4,4,4,8,8,8,1,1,1,1,
1,2,1,1,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,13,18,4,4,3,2,9,15,16,2,6,42,24,8,4,
60,4,8,8,8,8,1,1,6,6,9,15,1,2,2,2,2,24,4,2,6,8,24,32,4,4,4,8,8,4,8,48,4,8,8,4,
8,8,16,8,1,4,3,1,3,1,3,12,2,2,2,2,2,12,1,4,2,2,2,12,2,2,4,4,2,4,4,2,4,2,4,2,
12,2,8,8,8,8,1,1,1,1,6,1,1,2,1,2,1,2,1,2,4,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,5,
2,16,16,8,1,1,2,1,4,2,16,4,20,4,4,10,14,4,4,8,8,8,8,16,8,12,20,24,16,8,8,8,8,
3,1,1,12,4,2,2,2,2,2,4,4,4,2,10,4,6,2,4,4,2,2,2,6,4,4,4,8,8,4,4,4,8,12,16,4,8,
12,4,4,4,8,4,8,12,4,8,8,16,8,8,16,24,8,8,16,1,1,1,1,2,2,1,2,1,1,1,2,2,2,2,1,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,2,2,2,12,4,4,8,4,4,4,4,12,8,8,8,8,
8,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,9,
22,4,4,16,1,4,3,15,2,6,24,48,4,8,4,60,8,8,16,8,8,32,16,16,16,1,4,4,8,6,3,1,2,
2,4,4,2,2,2,18,24,16,12,4,4,4,4,8,4,4,4,4,16,8,60,4,8,8,8,8,8,8,8,16,8,8,16,8,
16,8,16,16,16,16,32,1,1,2,3,1,1,2,2,3,3,2,2,2,2,2,4,2,12,4,4,4,4,4,4,2,4,2,4,
4,4,4,2,12,4,2,4,4,8,8,8,8,8,8,16,16,16,16,8,8,8,16,16,8,1,1,1,2,1,1,2,2,2,1,
1,4,2,2,4,4,2,2,2,4,2,4,8,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,9,6,16,24,1,7,2,
3,2,16,8,20,12,4,10,14,16,16,12,4,8,16,8,16,12,20,40,32,8,1,3,3,3,3,12,4,8,6,
6,6,2,8,2,8,4,4,8,8,4,10,6,12,12,2,16,6,12,12,16,8,8,4,8,4,4,4,12,16,4,24,28,
4,4,8,12,4,8,8,8,16,8,16,24,8,16,1,1,1,2,1,3,3,3,3,2,2,2,1,6,1,3,2,6,6,6,8,2,
2,2,2,2,2,12,2,2,2,4,12,12,12,2,2,2,2,2,12,24,4,12,24,4,4,4,8,4,4,12,8,8,8,8,
8,1,3,3,3,4,2,1,1,1,1,2,1,6,1,1,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,4,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,5,10,8,24,1,1,2,5,2,8,8,4,4,8,10,14,16,16,16,8,8,16,8,
16,12,20,24,16,8,1,2,2,1,3,4,4,2,2,2,6,2,2,4,2,8,4,4,4,10,6,8,8,2,4,6,4,4,12,
8,4,4,8,4,8,12,16,4,8,12,12,4,8,12,4,24,8,8,16,8,16,8,16,1,1,1,1,2,1,1,2,2,2,
2,1,4,2,2,3,1,2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,2,2,4,4,4,2,6,2,2,2,4,4,4,4,4,8,8,
8,8,8,8,8,8,1,1,1,2,1,2,2,1,2,2,1,2,1,2,2,2,4,4,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,
1,1],[1,13,18,8,8,3,2,9,15,4,42,24,4,4,8,4,60,8,8,8,8,16,24,1,6,6,9,15,2,2,4,
2,2,2,2,2,2,6,8,24,32,4,4,4,4,4,4,12,48,12,8,12,8,8,8,8,8,8,24,8,16,16,1,3,1,
1,1,1,3,1,2,2,2,12,2,3,2,2,2,2,6,4,6,4,4,4,2,6,6,12,2,4,4,8,8,4,4,4,4,4,4,8,8,
8,8,1,1,1,2,1,2,3,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,6,
4,4,1,7,3,8,2,6,12,12,4,12,8,8,8,8,16,1,1,3,3,1,2,2,4,2,12,6,2,8,4,8,4,4,4,4,
8,8,8,8,16,16,2,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,
2,2,2,4,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,9,6,4,12,1,7,3,8,6,6,12,8,12,12,8,8,8,8,
8,24,1,1,3,3,3,2,2,4,2,2,12,4,2,2,2,2,8,4,4,4,4,8,8,8,8,8,12,8,8,16,24,2,1,1,
1,1,1,2,1,2,2,2,2,2,1,2,2,2,2,2,2,4,6,2,4,4,2,6,4,4,2,4,2,4,4,6,1,1,1,1,2,1,1,
1,1,2,3,4,2,2,2,2,2,2,8,4,1,1,1,1,1,1,1,1],[1,5,10,12,4,1,1,5,16,2,18,4,8,4,4,
16,12,8,8,16,3,2,2,1,1,12,2,2,6,2,2,2,2,4,4,4,24,8,8,8,8,8,8,8,16,1,1,1,1,1,2,
2,2,6,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,1,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[
1,5,4,10,8,16,20,1,1,2,5,6,6,2,4,8,4,4,8,10,14,4,10,8,2,16,8,8,12,16,20,12,20,
24,16,32,32,24,32,24,1,2,1,2,1,1,2,4,1,2,2,5,2,3,2,2,4,2,4,4,4,4,10,6,6,6,4,2,
2,6,2,8,8,10,2,8,4,2,2,6,6,6,4,2,8,8,12,8,4,4,8,8,8,12,16,4,8,8,12,8,16,12,16,
4,12,8,8,12,4,8,8,8,24,8,24,32,16,16,24,8,16,8,16,24,16,24,1,1,2,1,1,2,1,2,1,
1,2,2,2,2,3,1,1,2,2,2,2,3,2,2,3,1,2,2,4,2,1,2,4,1,4,4,2,2,6,4,2,6,2,2,2,2,2,2,
2,6,2,2,2,2,4,2,4,4,4,2,4,4,4,2,4,2,2,6,2,2,4,2,6,4,2,4,4,12,4,12,8,4,4,8,8,8,
8,8,8,4,4,24,8,16,8,24,16,8,8,16,8,16,8,8,8,8,1,1,2,1,1,1,1,2,1,1,1,1,1,2,2,2,
2,2,3,1,2,2,2,1,1,2,1,1,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,4,4,2,
2,2,4,2,2,6,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,8,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,1],[1,9,6,4,20,3,2,3,9,10,6,18,12,20,16,16,24,24,24,24,16,1,6,9,
5,4,6,6,8,4,4,6,6,4,6,4,8,8,8,4,4,4,8,8,24,8,8,16,8,24,24,24,16,32,1,1,2,3,1,
2,3,4,2,2,2,2,2,2,2,2,2,12,4,12,4,4,4,4,4,8,4,4,8,8,4,4,8,8,8,8,1,1,1,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,5,4,2,8,16,12,1,1,2,1,2,6,2,4,8,4,4,10,14,
8,6,8,2,8,8,4,16,12,12,20,24,16,8,24,24,24,24,8,1,1,1,1,2,4,1,2,3,1,4,2,4,4,4,
2,10,2,6,6,2,2,2,8,2,2,6,2,2,6,2,2,6,6,2,2,8,8,8,4,4,4,12,4,16,4,12,4,4,4,4,4,
8,12,4,8,8,24,8,24,16,8,8,16,8,8,24,8,24,1,2,1,2,2,2,2,1,1,1,1,3,1,3,1,2,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,4,12,8,8,8,4,4,4,4,
8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,1],[1,9,8,6,4,20,8,1,7,3,4,28,4,6,2,12,8,8,4,4,4,12,4,12,8,16,16,
24,8,24,16,16,8,16,16,1,14,3,3,2,4,2,2,2,2,2,6,4,2,2,4,8,4,4,8,4,4,4,12,8,4,4,
4,4,4,4,8,16,4,12,4,8,8,12,8,4,4,16,8,4,4,4,4,12,8,4,4,8,8,8,8,8,8,16,8,16,8,
8,8,32,24,8,8,16,1,1,1,1,1,1,1,2,4,2,2,2,6,2,1,2,1,2,3,2,3,3,2,6,2,2,2,4,2,1,
2,4,4,4,2,4,4,8,2,2,4,2,2,2,2,4,2,6,2,4,2,4,2,4,2,2,2,8,2,2,2,4,2,2,2,2,8,8,4,
8,8,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,1,2,2,2,2,1,1,2,1,2,1,2,3,2,4,1,2,
1,2,2,2,2,2,2,2,2,2,2,2,4,2,6,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1],[1,9,6,4,
20,8,3,2,3,9,10,6,18,4,4,20,4,8,16,24,8,24,8,24,24,8,8,8,8,1,6,9,5,4,6,2,6,4,
2,2,6,6,8,8,8,2,4,2,4,4,2,2,4,4,4,8,8,24,4,8,4,4,16,8,24,8,24,4,8,24,8,8,8,8,
8,8,16,1,1,3,1,3,4,2,2,2,1,1,2,2,2,1,1,2,4,2,2,2,2,2,12,2,12,2,4,2,4,2,4,4,2,
2,2,4,4,2,2,2,2,8,8,4,4,4,4,8,8,8,8,1,1,1,1,2,1,2,2,2,1,2,1,2,2,4,2,2,2,2,2,2,
2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,5,4,2,8,24,20,1,1,2,1,2,6,2,8,8,4,4,10,14,4,
10,16,6,16,8,4,16,12,12,20,24,16,8,8,8,24,40,24,24,24,8,1,1,1,3,2,4,4,1,2,3,1,
2,2,8,4,4,4,2,10,2,6,6,2,2,2,2,2,6,6,6,2,2,6,6,2,4,2,6,4,10,6,6,2,2,4,6,8,8,8,
4,4,4,4,4,4,4,4,4,16,4,4,4,4,4,8,12,12,4,4,4,4,4,8,12,4,4,16,8,8,8,24,24,16,8,
8,8,8,8,8,16,8,8,8,24,8,24,16,16,16,16,16,1,1,1,1,2,2,2,2,1,2,1,1,1,2,3,1,1,3,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,4,2,2,2,2,2,2,2,2,2,4,6,6,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,1,1,2,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,
1],[1,5,2,8,24,1,1,2,1,4,2,8,8,4,4,10,14,4,16,4,16,8,8,16,12,20,24,16,8,8,8,1,
1,3,4,4,2,2,2,2,2,8,4,4,4,4,10,4,6,4,4,4,4,2,4,6,4,8,4,4,4,4,16,4,8,12,4,4,8,
12,4,16,8,8,16,16,8,8,16,8,16,1,1,1,1,2,1,2,1,1,2,2,2,1,2,1,2,2,2,2,2,2,4,2,4,
2,2,2,2,2,2,2,4,2,4,2,2,2,2,4,4,4,4,8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,10,4,12,1,1,5,6,6,4,8,4,12,16,12,8,
8,16,16,1,2,2,1,3,2,2,6,2,2,2,2,4,4,8,8,8,8,4,12,8,8,16,8,8,16,16,1,1,1,1,1,3,
2,4,2,1,2,2,2,2,4,4,2,2,4,2,4,4,2,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,
1,1,1,2,2,1],[1,9,6,8,16,1,7,2,3,2,4,8,12,4,10,14,16,8,12,12,8,8,16,12,20,24,
16,8,1,1,3,3,1,4,2,4,2,6,2,4,2,4,4,8,4,10,6,8,4,2,8,6,4,8,8,4,8,8,4,4,4,12,16,
4,12,4,4,8,12,4,8,8,24,16,16,1,1,1,2,1,2,2,2,2,1,2,2,1,3,2,4,2,2,2,2,4,2,2,4,
2,2,2,2,2,2,2,4,2,4,4,4,2,2,2,2,2,8,8,8,8,8,8,8,8,1,1,1,1,1,2,1,1,1,2,2,1,1,1,
2,2,4,4,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,6,4,12,16,1,7,3,8,6,6,12,8,8,12,8,12,
8,8,8,16,8,8,32,8,16,16,1,1,3,3,3,2,4,2,4,4,2,2,12,4,2,2,2,2,8,8,8,4,8,8,4,4,
4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,4,16,8,16,8,16,8,16,16,2,1,2,1,1,1,2,1,2,1,2,
2,2,2,2,2,2,2,1,4,2,2,2,2,2,2,2,4,4,2,2,2,8,4,4,2,4,8,4,4,2,2,4,4,4,4,4,4,2,4,
4,4,4,8,8,4,8,8,8,4,8,8,8,8,8,2,1,1,1,2,1,1,1,2,2,1,1,2,2,2,1,2,4,2,2,2,2,2,4,
4,2,2,2,2,4,2,4,2,2,4,4,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,4,12,20,1,1,1,2,
6,6,6,4,8,10,12,6,4,8,16,4,12,8,8,8,8,8,24,8,8,24,8,1,1,1,3,2,4,2,1,2,3,1,2,2,
2,8,2,2,2,2,2,2,2,2,6,6,2,2,2,6,2,2,4,6,4,6,6,2,2,4,6,4,4,12,4,4,4,4,4,4,4,4,
8,12,8,4,8,4,4,4,12,16,8,8,8,8,8,16,16,1,1,1,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,
1,2,1,2,2,2,2,2,2,2,2,6,2,6,2,2,4,2,2,2,2,2,2,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,5,2,8,24,8,1,1,2,1,4,2,8,8,4,4,10,14,4,4,16,16,8,8,16,8,12,20,
24,16,8,8,8,8,8,1,1,3,4,4,2,2,2,2,2,8,4,4,4,2,10,4,6,2,4,2,2,4,2,4,6,4,4,8,4,
4,4,8,4,16,4,8,12,4,4,4,8,4,8,12,4,8,8,8,8,16,8,8,16,8,8,8,16,16,1,1,1,1,2,1,
2,1,1,2,1,2,2,2,1,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,4,4,4,
4,8,4,4,4,4,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,1],[1,5,10,8,16,8,1,1,2,5,2,4,8,4,4,8,10,14,4,4,8,4,16,8,8,16,
12,20,24,16,16,8,8,8,8,1,2,2,1,1,4,2,2,2,2,2,4,2,4,4,4,10,6,2,2,4,2,2,4,2,2,6,
4,2,12,8,4,8,4,8,8,16,4,4,4,12,12,4,4,4,8,12,4,8,8,8,8,16,8,16,16,8,16,16,1,1,
1,1,2,2,1,2,3,1,2,2,1,2,1,2,2,2,4,2,2,2,2,2,2,4,2,2,2,4,4,6,2,2,2,2,2,4,4,4,4,
4,4,8,4,4,4,8,8,8,8,8,8,8,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,
1,1,1,1,1,1,1,1],[1,5,4,10,4,4,4,1,1,5,6,6,2,6,4,8,2,4,2,16,4,8,4,4,8,8,16,8,
8,8,1,2,1,2,1,1,2,2,1,2,2,1,2,3,2,2,2,2,2,2,2,2,10,2,2,2,2,2,8,8,4,12,8,8,8,8,
16,8,8,8,16,1,1,1,2,1,1,2,2,1,1,1,1,2,1,2,1,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,4,
2,2,2,4,2,4,4,4,4,1,2,1,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,4,4,4,1,1,1,1,1,1,1,
1],[1,5,4,2,4,4,12,1,1,1,2,6,2,6,4,12,6,4,2,4,4,12,8,8,8,8,8,8,8,8,8,1,1,1,1,
2,2,1,2,3,1,4,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2,4,4,4,8,4,8,4,4,4,8,8,8,8,
8,8,8,16,2,1,2,2,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,
1,1,1,1,1],[1,9,8,6,4,4,8,1,7,3,4,28,2,6,12,4,4,4,4,12,8,8,8,8,8,8,8,16,16,16,
1,1,14,3,3,1,4,2,2,2,2,2,6,2,2,8,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,4,12,
4,8,8,8,8,8,8,8,8,16,8,16,16,1,1,1,1,1,1,1,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,
2,2,4,2,2,4,2,2,4,2,4,4,2,4,2,2,2,4,4,8,4,4,8,4,8,4,8,8,8,8,4,8,8,4,8,4,1,1,1,
1,2,2,2,1,2,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,4,4,4,4,8,1,1,1,1,1,1,1,2,2,2,
2,1],[1,9,6,8,8,1,7,3,4,12,4,8,4,12,4,8,24,8,8,16,1,3,3,2,2,2,2,2,2,2,2,8,12,
8,4,8,8,16,4,4,8,8,4,8,16,8,8,8,1,1,1,4,6,4,2,1,1,1,2,2,1,2,2,2,2,2,4,2,2,2,4,
2,4,2,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,5,4,10,4,4,4,1,
1,5,6,6,2,6,4,8,2,4,2,16,4,8,4,4,8,8,16,8,8,8,1,2,1,2,1,1,2,2,1,2,2,1,2,3,2,2,
2,2,2,2,2,2,10,2,2,2,2,2,8,8,8,4,12,8,8,8,8,8,8,16,16,1,1,1,2,1,1,2,2,1,1,1,1,
2,1,2,1,2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,2,1,
1,2,2,2,2,2,4,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,9,6,8,16,8,1,7,2,3,8,2,4,8,12,4,
10,14,8,4,8,4,12,4,8,16,16,8,12,20,24,16,8,8,1,1,3,3,1,4,2,2,2,2,12,2,2,4,2,4,
4,8,4,6,10,8,6,6,4,4,2,4,2,4,2,8,6,4,4,8,8,4,8,4,4,8,8,16,4,8,8,8,12,4,4,4,8,
8,4,8,12,4,16,8,8,8,8,16,24,8,16,8,8,2,1,1,1,1,2,2,2,2,2,4,1,2,2,1,2,3,2,3,2,
3,2,2,2,2,2,2,1,1,4,2,2,2,4,6,2,2,2,2,4,2,4,2,4,6,2,6,2,2,4,2,2,2,2,6,4,2,2,2,
2,4,2,4,2,2,2,2,6,2,2,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,2,1,3,1,1,1,1,2,2,
2,2,2,1,1,1,2,2,1,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1],[1,5,2,8,16,8,1,1,2,1,4,2,4,8,4,4,10,14,8,4,8,8,8,8,8,16,12,20,24,16,8,8,8,
8,1,1,1,4,2,2,2,4,2,4,4,4,4,10,4,6,4,4,2,2,8,4,2,4,2,2,2,6,2,8,4,4,4,12,16,4,
4,4,12,4,4,8,12,4,8,16,16,16,8,8,16,8,16,1,2,1,2,2,2,1,2,1,1,2,2,1,1,1,1,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,8,8,4,8,8,4,8,8,8,8,1,1,2,1,1,
1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,5,2,16,16,1,1,2,1,4,2,
16,4,20,4,4,10,14,4,8,4,8,8,8,16,12,20,24,16,8,8,3,1,1,12,4,2,2,2,2,2,4,4,4,4,
10,4,6,4,4,4,4,2,6,4,4,8,8,4,4,12,4,16,4,8,12,4,4,8,12,4,16,8,8,16,16,16,24,1,
1,1,1,2,2,1,2,1,1,2,2,1,2,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,12,
8,4,4,8,8,12,8,8,8,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,
1,1],[1,5,10,8,16,8,1,1,2,5,2,4,8,4,4,8,10,14,4,4,8,4,16,8,8,16,12,20,24,16,
16,8,8,8,8,1,2,2,1,1,4,2,2,2,2,2,4,2,4,4,4,10,6,2,2,4,2,2,4,2,2,6,4,2,12,8,4,
4,8,8,8,16,4,4,4,12,12,4,4,4,8,12,4,8,8,16,8,16,8,8,8,16,16,16,1,1,1,1,2,2,1,
2,3,1,2,2,1,2,1,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,4,6,2,2,2,2,2,4,4,4,4,4,4,8,4,4,
4,8,8,8,8,8,8,8,1,2,1,1,2,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,
1,1,1],[1,9,6,8,16,16,1,7,2,3,2,4,8,12,4,10,14,8,8,8,8,12,4,8,16,16,12,20,24,
16,8,8,32,16,16,1,1,3,3,1,4,4,2,4,2,2,2,4,2,4,4,8,4,10,6,8,8,4,8,8,4,4,2,8,4,
6,4,4,8,8,4,8,4,4,4,8,8,4,8,16,4,8,8,8,12,4,16,4,16,8,12,4,8,8,8,8,16,8,16,8,
8,16,8,16,16,1,1,2,1,2,1,2,2,2,1,2,1,2,3,2,2,4,2,2,4,2,2,4,4,2,2,2,2,8,4,2,4,
2,2,2,8,2,4,4,2,2,2,4,4,2,4,2,4,8,4,4,8,4,8,8,8,4,8,4,4,4,8,8,8,8,8,8,8,8,8,8,
8,8,1,2,1,2,1,1,2,1,1,1,2,1,1,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,4,2,4,4,2,2,2,2,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,8,24,12,1,1,2,1,2,6,2,8,8,4,4,10,14,4,6,
16,10,16,8,4,16,4,12,20,24,16,8,8,8,24,8,24,8,1,1,1,3,2,4,4,3,2,1,1,2,2,8,4,4,
4,10,2,6,2,2,2,2,2,6,6,2,2,6,2,4,2,10,4,6,6,6,2,6,4,6,8,4,4,4,4,4,4,4,4,4,16,
4,4,4,4,4,8,12,12,4,4,4,8,12,4,4,16,8,8,8,8,16,8,8,8,8,16,8,8,8,16,16,1,1,1,1,
2,2,2,2,1,2,1,1,1,2,1,1,1,3,1,3,1,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,4,2,2,2,2,2,2,
2,4,6,6,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,4,20,1,7,3,4,6,
2,12,8,8,4,12,12,12,16,16,24,24,16,16,8,16,1,3,3,2,2,6,2,4,4,2,2,4,8,4,4,8,4,
4,8,4,8,16,4,12,8,4,8,8,8,4,16,4,4,12,8,8,8,8,16,24,8,24,1,1,2,1,1,2,2,1,2,2,
2,1,2,2,3,2,2,4,4,4,4,2,4,4,4,4,4,2,2,2,2,4,4,4,8,8,8,4,8,8,8,8,8,1,1,1,1,1,2,
2,1,2,1,2,4,4,2,4,2,2,2,2,2,4,1,1,1,2,2,1],[1,9,6,4,20,16,1,7,3,8,4,6,2,12,8,
8,4,4,8,12,8,12,8,16,8,24,16,24,16,16,8,16,16,16,1,3,3,2,2,4,2,4,2,12,4,2,2,4,
8,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,16,4,12,4,8,4,8,4,4,16,8,8,4,4,12,4,8,
12,16,4,4,8,8,8,8,8,16,8,16,8,8,8,24,24,24,16,2,1,1,1,1,1,1,2,2,1,2,2,2,2,1,2,
3,1,2,1,3,2,4,2,2,2,4,2,3,2,2,4,4,2,4,4,2,2,4,4,2,2,2,2,4,2,2,4,6,4,2,4,2,4,6,
2,6,4,2,2,2,4,2,6,6,2,8,8,8,4,8,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,3,1,1,2,1,1,1,
2,1,2,2,1,2,2,1,2,2,2,2,2,1,1,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,4,4,2,2,2,4,2,
4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,1],[1,9,22,4,4,1,4,3,15,2,6,24,48,4,4,60,8,8,8,16,1,4,4,8,6,3,1,2,2,
4,2,2,2,18,24,16,12,4,4,4,16,8,60,4,8,8,8,8,8,16,1,1,3,1,1,2,3,3,2,2,4,12,4,4,
4,2,2,4,4,2,4,12,2,4,4,4,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,
9,8,6,8,1,7,3,4,28,4,12,8,12,4,8,8,8,16,1,14,3,3,2,4,2,2,6,2,2,2,8,4,12,8,8,8,
8,8,16,8,16,1,1,1,1,1,2,2,2,6,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
2,4,2,2,2,1,1,1,2,2,1],[1,9,6,12,36,8,3,2,3,4,9,12,18,18,18,24,36,36,4,36,4,
72,72,72,72,72,72,8,8,8,8,8,8,3,6,9,9,18,18,18,18,24,24,24,24,36,36,2,2,4,2,2,
36,2,36,2,48,72,72,4,72,4,72,72,4,4,72,4,72,4,72,72,72,8,8,8,8,144,8,8,8,8,
144,8,8,16,16,16,1,6,6,8,9,9,12,18,18,1,1,24,2,2,2,2,36,36,36,2,36,2,2,36,2,2,
2,2,2,2,2,2,4,4,4,4,4,72,4,72,72,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,144,3,18,
1,18,1,1,1,24,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,8,8,1,1,1,1,1,1,1,4,4,
1],[1,5,10,4,4,8,1,1,5,2,6,4,8,4,4,12,16,4,8,8,8,8,8,8,8,8,8,1,2,2,1,1,2,4,2,
2,2,2,2,4,10,2,4,2,2,2,2,8,8,4,12,4,4,8,8,8,4,4,16,8,8,8,16,2,1,1,1,2,2,2,2,2,
2,1,2,1,2,2,2,4,2,2,4,2,2,4,2,2,4,2,4,2,4,2,2,2,2,4,4,4,4,1,2,2,1,1,2,1,1,2,4,
2,2,2,2,2,2,4,2,4,4,1,1,1,1,1,1,1,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,12,2,4,6,
4,4,4,8,8,8,8,8,8,8,1,1,1,1,2,2,3,2,1,1,4,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,4,8,4,
8,4,8,8,8,8,8,8,8,2,1,2,1,1,1,2,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,
10,4,12,16,1,1,5,6,6,4,8,4,8,12,16,12,8,16,8,8,32,16,16,1,2,2,1,3,2,2,6,4,2,2,
2,2,4,4,4,4,4,8,4,4,8,8,8,8,4,8,12,8,8,8,8,8,16,16,8,8,8,16,16,16,8,1,1,1,2,1,
1,3,2,2,4,2,2,2,1,2,2,2,2,2,4,4,2,4,2,4,2,2,4,4,4,4,4,2,4,2,4,4,4,4,8,8,8,8,4,
16,16,8,16,8,8,8,16,1,1,2,1,2,2,1,1,1,1,2,2,2,2,2,4,2,4,4,2,4,4,4,4,8,4,4,4,8,
1,1,1,2,2,2,2,2,2,1],[1,5,4,2,8,16,12,1,1,2,1,2,6,2,4,8,4,4,10,14,6,8,2,8,8,4,
16,12,12,20,24,16,8,8,24,24,24,24,8,1,1,1,1,2,4,1,2,4,3,1,2,4,4,4,2,10,2,6,6,
2,2,2,2,2,6,2,2,6,2,2,6,6,2,2,8,8,8,8,4,4,4,4,4,16,4,12,4,4,4,4,4,8,12,4,8,8,
24,8,24,16,8,8,8,16,8,8,24,8,24,1,1,2,2,1,2,1,1,1,3,2,1,2,3,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,4,12,8,4,4,4,4,8,8,8,8,8,8,8,
8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,
1,1],[1,9,6,4,20,1,7,3,4,6,2,12,8,8,4,4,12,12,8,16,16,24,24,16,16,8,1,3,3,2,2,
2,2,4,2,2,4,8,4,8,4,8,4,4,4,8,16,4,12,4,8,8,4,16,16,4,4,12,8,8,8,8,8,8,8,24,1,
1,1,1,1,4,4,2,4,2,1,2,3,2,4,4,2,4,4,2,2,2,2,4,4,8,4,4,4,8,8,8,1,1,2,1,1,1,2,1,
1,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,5,2,4,4,8,1,1,1,4,2,6,4,12,4,4,8,4,8,8,8,8,8,
8,8,8,1,1,1,2,2,2,2,4,2,2,4,2,2,8,4,2,2,2,2,4,8,4,8,4,4,8,4,8,8,8,8,8,8,2,1,2,
2,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,6,4,4,1,7,3,8,2,6,12,4,4,
12,8,8,8,8,8,8,8,1,1,3,3,1,2,2,2,12,2,2,8,4,4,4,4,4,4,4,12,4,8,8,8,8,16,8,2,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,4,2,2,4,2,2,1,1,1,1,2,1,2,1,1,2,2,
4,4,2,2,1,1,1,1,1,1,1,1],[1,5,4,2,8,16,4,1,1,2,1,2,6,2,4,8,4,4,10,14,2,8,6,8,
8,4,16,4,12,20,24,16,8,8,8,8,8,1,1,1,1,2,4,3,2,4,1,1,2,4,4,4,10,2,6,2,2,2,2,2,
2,2,2,6,2,6,2,6,8,8,4,4,4,4,4,16,4,12,4,4,4,8,12,4,8,8,8,8,8,16,8,16,8,16,1,1,
2,2,1,2,1,1,1,1,2,1,2,3,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,8,4,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,
1,1,1,1],[1,9,4,6,12,12,12,3,2,3,9,6,6,16,6,18,18,12,6,12,6,24,4,24,4,24,24,8,
8,24,8,8,24,3,6,1,9,3,6,12,6,1,6,1,3,6,6,6,8,8,2,6,6,2,2,6,12,2,6,2,6,2,6,2,2,
2,6,12,6,2,12,24,4,4,4,4,4,4,12,4,24,4,24,4,4,24,4,4,24,4,16,8,8,8,8,8,8,8,8,
16,1,1,3,3,3,2,2,6,3,1,1,1,6,1,3,1,6,1,1,6,1,2,2,2,2,2,12,2,12,2,6,2,2,2,2,2,
2,2,2,2,12,2,2,12,2,2,6,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,8,8,8,1,2,1,3,3,2,6,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,2,4,4,8,1,1,1,4,2,6,4,4,4,4,8,12,
8,8,8,8,8,8,8,8,1,1,1,2,2,2,4,2,2,2,4,2,2,4,2,2,2,2,8,8,12,4,8,4,4,8,4,8,8,8,
8,8,1,2,2,1,1,2,1,1,2,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,6,4,12,4,3,2,
3,9,6,6,6,6,18,2,12,2,16,24,4,24,4,24,24,8,8,8,8,1,6,1,9,3,6,6,1,6,1,3,6,6,8,
8,2,2,2,2,2,2,6,2,2,2,2,2,24,4,24,4,24,4,24,4,24,8,8,8,8,8,8,16,1,3,3,4,3,1,1,
1,1,3,1,1,2,2,2,2,2,12,12,12,2,2,2,2,2,2,2,2,12,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,
1,1,1,6,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,9,22,4,4,1,4,3,15,2,
6,24,48,4,4,60,8,8,8,16,1,4,4,8,6,3,1,2,2,4,2,2,2,18,24,16,12,4,4,4,16,60,4,8,
8,8,8,8,16,8,1,1,3,1,1,2,3,3,2,2,4,12,4,4,4,2,2,4,4,2,12,2,4,4,4,4,8,8,1,1,1,
2,1,1,2,1,1,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,9,6,24,8,1,7,3,12,12,4,24,4,12,12,
32,24,8,24,8,1,3,3,6,8,2,6,2,6,6,6,6,16,8,8,4,24,24,4,24,24,4,4,24,8,4,8,8,8,
8,8,2,1,2,3,3,6,2,6,6,1,1,1,2,6,1,2,2,2,2,2,2,2,2,12,2,12,2,24,4,24,24,24,4,4,
4,4,8,8,8,8,3,4,1,1,1,1,6,1,6,1,2,12,2,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,
2,2,1],[1,9,8,6,8,16,16,1,7,2,3,4,28,2,4,8,12,4,10,14,8,8,8,8,12,4,8,8,16,16,
12,20,24,16,16,24,32,24,32,1,1,14,3,3,1,4,4,4,2,4,2,6,2,2,4,2,4,4,8,4,2,10,4,
6,8,2,4,4,4,4,4,6,4,12,4,6,4,2,8,8,8,6,4,4,8,8,8,8,8,4,8,4,4,16,8,16,4,8,8,12,
4,8,4,8,4,16,8,4,8,12,4,16,16,8,8,8,32,24,16,8,8,16,16,16,8,24,8,24,1,1,1,1,1,
1,1,1,2,2,2,2,1,4,2,6,1,2,3,2,2,1,1,2,4,6,4,2,4,2,2,3,3,4,2,4,2,2,2,2,2,2,2,2,
4,4,4,2,4,2,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,2,4,4,6,4,2,2,2,2,4,2,2,4,4,
8,4,12,4,8,12,8,16,8,8,4,4,16,8,8,4,4,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,1,1,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,3,2,1,4,3,1,1,1,1,2,3,2,4,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,4,2,2,4,2,2,
2,2,2,2,4,4,4,8,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1],[1,5,2,4,
12,1,1,1,4,6,6,4,8,12,4,4,8,16,8,8,8,8,8,1,1,3,4,2,2,2,2,2,2,2,8,4,4,4,4,4,8,
12,8,8,8,4,8,8,8,8,8,1,1,1,2,2,1,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,
8,18,8,3,2,9,15,12,28,4,42,24,4,8,60,8,8,8,8,8,1,6,6,14,9,15,2,12,4,2,18,2,2,
2,2,6,8,24,32,4,36,4,4,12,48,12,8,8,4,8,8,8,8,16,1,1,3,3,1,1,3,1,6,2,2,2,2,2,
18,2,12,2,18,3,2,6,4,2,4,2,2,4,4,4,2,4,6,2,12,2,8,8,8,8,1,3,2,1,1,3,6,2,2,2,2,
1,2,2,1,2,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,6,8,8,1,7,3,4,12,4,8,4,12,4,8,
8,8,8,16,16,1,3,3,2,2,2,2,2,2,2,2,8,4,8,4,8,8,4,4,8,8,8,4,8,16,8,16,8,8,1,1,1,
2,2,1,1,1,2,2,1,2,2,2,2,2,4,4,2,2,2,4,4,2,4,4,2,4,4,4,4,1,1,1,1,1,1,1,2,4,2,2,
2,2,2,2,2,1,1,1,2,2,1],[1,5,2,8,16,8,1,1,2,1,4,2,4,8,4,4,10,14,4,8,8,8,8,8,16,
12,20,24,16,8,8,8,8,8,1,1,1,4,2,2,4,2,2,4,4,4,4,10,4,6,4,4,2,2,4,2,4,2,2,2,6,
2,8,8,4,4,4,4,16,4,4,4,12,4,4,8,12,4,16,8,8,16,8,16,8,8,16,16,1,1,2,1,2,1,1,2,
2,2,1,2,1,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,8,4,4,8,8,
8,8,8,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,
6,4,12,8,3,2,3,9,6,6,18,8,4,12,4,8,24,24,24,24,8,8,8,8,8,8,1,6,9,3,6,6,4,4,4,
4,6,4,6,4,8,8,2,2,4,2,2,2,2,24,4,4,4,4,24,4,24,4,24,8,32,8,8,8,8,8,16,1,2,3,2,
3,2,2,2,2,1,1,2,2,2,2,12,2,12,2,2,2,2,4,2,8,4,8,8,2,2,2,2,2,4,4,4,4,8,8,8,8,1,
2,1,2,1,1,2,1,2,4,2,2,2,2,2,4,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,4,6,4,20,12,3,2,3,
9,6,6,10,6,18,4,6,20,6,8,16,24,4,24,4,24,24,8,24,8,8,24,8,1,6,1,9,5,6,4,6,1,6,
4,1,3,2,6,6,8,8,8,2,2,2,2,2,2,6,6,2,6,6,2,4,6,4,6,6,2,2,4,6,8,8,24,4,8,4,4,4,
4,4,4,4,16,8,12,24,4,4,24,4,4,24,4,16,8,8,8,8,8,8,8,8,16,1,1,3,1,3,2,2,4,3,1,
2,2,1,1,2,1,2,3,1,2,1,1,1,2,2,2,2,2,2,12,6,2,12,6,4,4,2,2,2,4,2,2,2,2,2,4,6,6,
2,2,2,4,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,
1,1,1,1,2,1,1,2,2,1,2,1,2,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,4,12,16,3,2,3,9,6,6,18,8,12,8,16,24,8,
24,8,24,24,8,8,8,8,8,8,1,6,9,3,6,2,6,2,6,6,8,8,2,4,2,4,2,2,8,2,2,2,2,2,2,24,4,
24,4,4,24,8,4,24,4,4,8,24,8,8,8,8,8,8,8,8,16,16,1,3,3,4,2,1,1,1,1,1,1,2,4,2,2,
2,2,2,12,12,2,2,12,2,2,2,4,2,2,2,2,12,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,1,2,1,
1,6,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,5,2,8,16,16,1,
1,2,1,4,2,4,8,4,4,10,14,8,8,8,4,8,8,8,16,8,12,20,24,16,8,8,8,8,8,8,1,1,1,4,2,
2,2,4,2,4,4,4,2,10,4,6,2,2,2,8,4,4,2,2,2,2,2,2,6,4,2,8,4,4,8,12,4,16,4,4,4,12,
4,4,4,8,4,8,12,4,8,8,16,8,8,8,8,16,8,8,16,16,1,2,1,2,2,2,1,2,1,1,1,2,2,1,1,1,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,8,4,4,4,8,8,4,4,4,
8,8,8,8,8,1,2,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,
1],[1,5,4,2,16,16,12,1,1,2,1,2,6,2,16,4,20,4,4,10,14,4,6,8,10,8,8,4,16,4,12,
20,24,16,8,8,8,24,8,24,3,1,1,1,2,12,4,3,2,1,1,2,2,4,4,4,10,2,6,6,6,2,2,6,4,2,
6,2,2,2,6,2,6,2,2,6,6,4,10,2,4,8,8,4,4,4,4,12,4,4,4,4,16,4,4,4,12,4,8,4,12,4,
4,4,8,12,4,4,16,8,8,8,16,8,8,8,8,16,24,8,16,1,1,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,
2,3,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,4,2,2,6,2,2,2,2,6,
6,4,4,4,12,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,8,8,8,8,8,1,1,2,
2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,12,4,20,1,1,1,2,6,16,2,18,4,8,10,4,6,4,4,
12,8,8,8,8,8,8,8,8,24,8,24,3,1,1,1,2,12,2,1,2,3,1,2,2,2,2,2,6,2,6,2,2,6,4,2,6,
2,2,2,2,2,6,2,2,2,6,4,6,2,4,4,4,4,4,4,4,4,4,4,12,4,8,4,8,4,8,4,4,4,12,16,8,8,
8,8,8,8,16,16,1,1,1,2,2,2,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,6,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,6,2,2,2,2,6,2,6,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,12,12,
8,3,2,3,9,16,6,18,18,12,4,12,4,24,8,24,8,24,24,8,8,8,8,3,6,9,3,12,6,2,6,2,6,6,
6,8,8,2,4,2,4,12,4,2,2,12,12,24,4,4,4,24,24,8,24,4,8,24,8,8,8,8,8,8,16,1,1,3,
3,3,6,2,1,1,6,6,1,1,6,2,4,2,2,2,2,2,12,2,12,2,2,2,4,2,2,2,12,12,2,2,2,2,4,4,4,
4,8,8,8,8,1,2,3,3,1,6,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,
13,8,18,4,4,8,3,2,9,15,12,28,2,6,42,24,8,4,4,4,60,4,8,8,8,16,16,16,8,1,1,6,6,
14,9,15,1,12,2,2,2,2,2,2,18,4,2,6,8,24,32,4,4,4,4,4,4,4,36,4,4,4,4,4,4,8,4,8,
4,8,8,48,4,8,8,8,4,8,8,8,8,8,8,16,8,8,16,1,1,3,3,1,1,1,3,1,2,3,6,2,2,2,18,2,
12,2,2,18,2,1,2,2,4,2,2,2,2,6,2,2,2,4,4,2,4,4,2,4,4,4,2,2,12,2,4,8,4,4,8,8,8,
8,8,4,8,8,4,8,8,8,8,8,8,1,3,1,2,1,1,3,6,1,1,2,1,2,2,2,1,2,1,2,2,2,2,2,4,2,2,2,
2,4,2,2,2,2,2,2,4,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,6,8,8,1,7,3,8,4,12,8,4,8,4,
12,12,8,8,8,16,16,1,3,3,2,2,6,2,2,12,4,2,2,2,8,4,4,4,4,8,8,8,8,8,8,8,8,16,16,
16,2,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,
2,2,2,2,4,4,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,5,4,2,12,4,12,1,1,1,2,6,16,
2,18,4,8,6,4,10,4,4,4,8,8,8,8,8,8,24,8,24,3,1,1,1,2,12,2,3,2,1,1,2,2,2,2,6,6,
2,2,6,4,2,6,2,2,2,6,2,2,2,6,4,6,2,4,12,4,4,4,4,4,4,4,12,4,8,4,8,4,4,16,8,8,8,
8,8,8,8,16,1,1,1,2,2,1,1,1,2,1,1,2,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,6,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,6,2,2,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,10,8,16,4,1,1,2,5,6,6,2,4,8,4,4,
8,10,14,4,2,8,10,16,8,8,12,16,4,12,20,24,16,8,8,1,2,1,2,1,1,2,4,5,2,2,1,2,3,2,
2,4,2,4,4,4,4,10,6,6,2,4,6,2,8,2,2,10,6,4,2,6,2,6,2,4,6,12,8,4,4,8,8,8,8,4,16,
4,8,8,12,12,4,4,8,12,4,24,8,8,8,8,16,16,8,8,16,8,1,2,1,1,1,2,2,1,2,1,1,2,2,2,
3,3,1,2,4,2,2,2,1,2,2,1,1,2,2,4,2,3,2,1,4,2,6,2,4,2,2,2,2,4,2,6,2,2,2,2,6,2,2,
4,4,2,4,2,2,4,4,6,4,2,2,6,2,2,4,2,2,2,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,2,1,2,
1,1,2,2,2,1,1,2,1,2,2,2,1,1,3,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,2,2,6,2,2,2,2,2,4,4,2,2,1,1,1,2,1,1,1,2,1,2,2,
2,2,2,2,2,2,2,2,1],[1,9,6,4,4,8,1,7,3,2,6,12,4,4,4,4,12,8,8,8,8,8,8,8,8,16,1,
1,3,3,1,2,2,2,2,2,2,2,8,2,4,2,2,2,4,4,4,4,4,4,12,8,4,8,8,4,4,8,8,16,8,8,16,1,
1,1,2,2,2,1,1,2,2,2,1,1,2,2,2,4,2,4,2,2,4,4,2,2,2,2,4,2,2,4,2,2,2,4,2,2,2,4,2,
2,1,1,1,2,1,1,1,1,1,2,2,1,2,2,2,2,2,2,4,8,4,1,1,1,1,1,1,1,1],[1,9,6,8,8,1,7,3,
4,12,8,4,8,4,12,12,8,8,8,8,1,3,3,2,2,6,2,2,4,2,2,2,8,4,8,8,8,4,8,4,4,8,8,4,8,
16,8,8,8,8,1,2,1,1,2,2,2,2,2,1,1,2,1,2,2,2,1,2,2,2,2,2,4,2,2,2,4,4,2,4,4,4,2,
4,4,4,4,4,1,1,1,1,2,1,2,1,2,1,2,4,4,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,9,6,8,1,7,
3,8,12,12,4,4,12,12,8,8,16,8,1,3,3,2,6,2,12,6,8,8,8,4,4,4,4,4,8,4,8,8,24,8,2,
1,2,2,1,1,3,2,2,2,2,3,2,2,2,2,6,6,4,2,4,6,6,2,1,1,1,3,1,6,2,2,2,2,6,2,2,1,1,1,
1,1,1,1,1],[1,9,6,4,12,16,3,2,3,9,6,6,18,8,12,8,24,8,24,8,24,24,16,8,8,8,8,8,
8,1,6,9,3,6,2,6,2,6,6,8,8,2,4,2,4,2,2,8,2,2,2,2,2,2,24,8,4,4,4,24,8,4,24,4,4,
8,24,8,8,16,8,8,8,8,8,8,16,16,1,3,3,2,1,1,1,1,1,1,2,4,2,2,2,2,2,12,4,2,2,12,2,
2,2,4,4,2,2,2,2,4,2,2,2,2,2,8,8,4,4,4,4,4,4,4,4,8,8,8,8,1,2,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,5,10,16,16,1,1,2,5,2,16,4,
20,4,4,8,10,14,8,8,16,16,8,8,16,12,20,24,16,8,3,2,2,1,1,12,4,2,6,2,2,2,2,4,2,
4,4,4,10,6,4,4,2,6,8,4,8,28,8,8,4,4,8,4,8,12,16,4,8,12,12,4,8,12,4,8,8,8,16,
16,24,1,1,1,1,1,1,2,2,2,1,2,2,3,1,2,2,2,6,2,2,2,6,4,2,2,4,2,2,2,2,2,2,4,4,4,2,
6,2,2,2,4,12,8,4,4,12,8,8,8,8,8,2,1,1,1,2,2,1,2,2,2,1,2,1,1,2,2,2,2,4,2,2,2,2,
2,4,4,4,1,1,1,1,1,1,1,1],[1,5,2,12,4,8,1,1,1,4,16,2,18,4,8,4,4,4,8,8,8,8,8,8,
8,8,8,3,1,1,12,2,2,2,2,2,2,2,2,4,2,4,2,2,4,4,4,4,4,8,8,8,4,4,4,4,8,8,8,8,8,8,
8,16,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,
2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,9,22,4,4,1,4,3,15,2,6,24,48,4,4,8,60,8,8,8,8,16,1,4,4,8,6,3,1,2,4,2,4,2,
2,2,18,24,16,12,4,8,4,4,4,16,60,4,8,8,8,8,16,8,8,16,1,2,1,3,1,1,2,2,3,3,2,2,2,
2,2,2,4,12,4,4,4,4,4,4,2,2,4,4,2,12,2,4,4,8,8,8,8,8,8,1,1,1,2,2,1,1,2,1,2,1,4,
2,2,4,2,2,2,2,4,4,1,1,1,2,2,1],[1,13,18,8,8,3,2,9,15,4,42,24,4,4,8,4,60,8,8,
16,8,8,16,8,1,6,6,9,15,2,2,4,2,2,2,2,2,2,6,8,24,32,8,4,4,4,4,4,4,12,48,12,16,
8,8,4,8,8,8,8,8,8,16,8,16,1,3,1,1,1,1,3,1,4,4,4,2,2,2,12,2,3,2,2,2,4,4,2,2,4,
4,2,4,4,4,4,2,6,2,12,2,4,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,1,2,1,2,2,2,2,2,
4,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,18,8,3,2,9,15,42,24,8,4,4,60,8,8,8,
16,16,1,6,6,9,15,2,4,2,4,4,4,4,4,6,8,24,32,4,4,4,4,4,48,8,8,8,8,8,8,32,16,16,
1,3,1,2,2,1,3,2,2,2,2,2,2,12,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,4,12,8,8,8,8,1,1,
2,1,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,5,2,4,4,16,1,1,1,4,2,6,4,4,8,4,
4,12,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,8,4,4,
12,8,4,4,8,4,4,4,4,8,8,8,8,8,8,16,1,2,1,1,2,1,1,1,2,2,1,2,2,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,8,6,4,12,8,1,7,3,4,28,6,6,12,8,4,12,4,
12,8,8,8,8,8,8,8,16,16,16,8,1,1,14,3,3,3,4,2,2,2,4,2,2,2,6,4,2,2,2,2,8,4,4,4,
4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,4,8,8,8,8,8,16,8,16,16,1,1,1,
1,1,1,1,1,1,2,2,1,2,2,2,2,2,6,2,2,2,2,2,2,6,2,1,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,
4,2,4,4,4,2,4,2,4,4,4,4,4,2,4,4,4,8,8,4,8,8,8,4,8,8,8,8,8,1,1,1,1,1,1,2,2,1,1,
2,1,2,1,2,2,2,2,1,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,4,8,1,1,1,1,1,1,1,2,2,
2,2,1],[1,13,18,4,4,3,2,9,15,2,6,42,24,8,4,60,4,8,8,8,24,1,1,6,6,9,15,1,2,2,2,
2,4,2,6,8,24,32,4,4,4,8,8,4,8,48,4,8,8,12,8,8,16,24,1,3,1,3,1,3,2,2,2,2,2,12,
1,4,2,2,2,4,2,6,4,4,6,4,4,2,4,2,6,12,2,8,8,8,8,8,8,1,1,1,1,2,1,1,1,2,1,2,3,2,
2,4,2,2,2,8,4,1,1,1,1,1,1,1,1],[1,9,6,8,8,1,7,3,8,4,12,4,8,4,12,4,8,8,8,16,16,
1,3,3,2,2,2,2,2,12,2,2,2,8,4,4,4,4,8,8,8,8,8,8,16,8,16,2,1,1,1,1,1,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,9,
22,4,20,1,4,3,15,10,6,24,48,20,20,60,16,16,16,16,8,8,1,4,4,8,6,3,5,4,2,2,8,2,
4,10,4,4,4,2,18,8,4,24,8,16,12,8,8,8,4,12,4,12,16,16,60,12,20,16,8,24,16,56,
24,1,1,1,2,1,1,2,3,2,2,3,1,5,4,7,4,6,4,5,3,5,4,2,2,2,4,6,12,12,10,8,4,10,8,6,
6,4,4,4,8,6,12,14,8,8,8,8,4,4,16,8,16,8,1,1,1,1,1,1,2,2,4,2,2,2,5,2,1,3,2,2,1,
2,3,1,4,1,3,2,2,1,4,6,4,4,2,2,8,6,4,4,2,2,6,4,6,8,2,6,4,2,4,2,4,4,1,1,1,2,1,2,
1,1,2,2,1,2,2,2,2,2,2,4,1],[1,5,2,4,12,8,1,1,1,4,6,6,4,8,4,12,4,8,16,8,8,8,8,
8,8,8,8,1,1,3,4,2,2,2,2,2,2,2,8,2,4,2,2,2,4,4,4,4,12,4,8,8,8,4,4,4,4,8,8,8,8,
8,8,16,1,1,1,2,1,1,2,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,9,4,6,4,12,12,3,2,3,9,6,6,6,6,18,8,6,12,6,8,24,12,24,12,24,24,8,8,8,8,1,
6,1,9,3,6,6,3,6,4,3,4,4,3,4,6,4,6,4,8,8,2,6,2,2,2,6,2,6,2,6,2,2,2,2,2,2,24,8,
8,4,8,8,24,12,8,24,4,12,24,8,8,16,32,8,8,8,8,8,8,8,1,2,3,2,3,2,3,3,2,2,1,2,2,
2,1,2,1,1,2,2,1,3,2,2,1,1,1,2,3,6,4,4,4,2,2,2,2,2,4,12,2,4,12,4,4,2,2,6,4,2,2,
2,8,2,2,2,2,4,4,4,4,2,8,8,2,2,4,2,2,4,8,8,8,8,8,8,8,8,1,1,2,2,3,1,2,1,1,2,2,2,
2,2,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,
2,2,2,2,2,2,2,4,2,4,2,2,2,4,4,2,4,2,2,4,4,4,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,2,
2,2,2,1],[1,9,6,4,4,24,1,7,3,2,6,12,4,12,4,12,12,8,8,24,8,8,8,32,8,8,16,16,1,
1,3,3,1,2,6,2,6,2,2,2,8,2,4,2,8,8,4,8,2,8,2,4,4,4,4,4,4,4,4,4,12,8,8,8,8,8,8,
8,4,16,24,4,4,8,8,8,8,16,16,16,1,2,1,2,1,2,2,2,2,2,1,1,2,6,2,2,1,1,2,2,4,2,2,
4,2,2,2,2,2,8,2,4,4,2,8,2,2,2,2,2,4,2,2,2,4,4,4,2,2,8,8,8,4,8,4,4,4,8,4,4,4,8,
8,4,8,8,8,2,1,2,1,1,1,2,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,4,4,
2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,18,4,4,16,3,2,9,15,2,6,42,24,8,8,4,8,
60,4,8,16,8,8,32,8,16,16,1,1,6,6,9,15,1,2,4,2,2,4,2,4,2,6,8,24,32,4,8,8,4,8,8,
4,4,4,4,8,4,8,4,8,48,4,8,8,8,8,8,8,8,8,8,4,16,16,8,8,8,8,16,16,8,8,16,1,3,2,1,
2,3,1,3,2,2,2,2,2,2,2,12,2,1,4,4,2,2,2,2,4,4,4,4,2,2,8,4,4,4,2,8,4,4,2,4,4,2,
4,2,4,12,2,8,4,4,8,8,8,8,8,8,4,8,8,4,8,8,8,8,8,8,8,1,1,2,1,1,2,2,2,2,2,2,1,1,
1,2,1,1,4,2,2,2,4,4,2,4,2,2,4,2,2,2,2,4,4,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
5,4,2,16,16,20,1,1,2,1,2,6,2,16,4,20,4,4,10,14,4,10,8,6,8,8,4,16,12,12,20,24,
16,8,8,24,24,24,40,8,24,3,1,1,1,2,12,4,1,2,3,1,2,2,4,4,4,2,10,2,6,10,2,6,2,2,
6,4,2,6,6,2,2,2,6,6,2,2,6,2,6,6,4,6,2,4,8,8,8,8,4,4,4,4,4,12,4,4,4,16,4,4,4,
12,4,8,4,12,4,4,4,4,4,8,12,4,4,16,8,8,24,24,16,8,8,8,8,16,24,8,8,8,24,8,24,16,
16,16,16,1,1,1,1,2,2,2,2,2,1,1,1,1,2,3,1,1,2,3,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,6,2,2,2,2,6,6,4,4,4,12,12,4,4,4,4,4,4,
4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,
8,8,8,8,8,8,8,8,8,8,8,16,16,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,1],[1,9,6,12,12,8,1,7,3,16,6,18,
12,12,4,12,4,12,16,8,8,24,24,8,8,8,8,1,3,3,3,3,12,4,6,2,6,2,6,6,6,8,8,8,2,4,2,
12,2,2,12,12,12,12,12,4,4,4,24,24,4,8,4,4,8,8,8,8,8,16,16,1,1,1,2,3,3,3,3,2,6,
1,1,6,2,6,6,1,1,6,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,12,12,12,2,12,2,2,2,2,24,4,
24,4,4,4,4,4,4,4,3,3,3,4,1,1,1,1,1,1,1,6,1,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,4,12,12,1,1,1,2,6,6,6,4,8,6,12,10,4,
8,16,4,4,8,8,8,8,24,8,24,8,1,1,1,3,2,4,2,3,2,1,1,2,2,2,8,2,2,2,2,2,2,6,6,2,2,
6,2,4,6,4,6,6,2,2,4,6,4,12,12,4,4,4,4,4,4,4,8,12,8,4,4,16,8,8,8,8,8,8,16,1,1,
1,2,2,2,2,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,6,2,6,2,4,2,2,2,2,2,2,
4,2,2,2,6,6,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,5,4,2,4,4,12,1,1,1,2,6,2,6,4,4,6,4,2,12,8,4,12,8,8,
8,8,8,8,8,8,1,1,1,1,2,2,1,2,4,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,
12,8,4,8,4,4,4,8,8,8,8,8,8,16,1,2,2,2,1,1,1,1,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,5,10,4,12,1,1,5,6,6,4,8,4,12,16,12,8,8,16,
16,1,2,2,1,3,2,2,6,2,2,2,2,4,4,8,8,8,4,8,12,8,8,16,8,8,16,16,1,1,1,1,1,3,2,4,
2,1,2,2,2,2,4,4,2,4,2,2,4,4,2,2,4,4,4,4,4,1,1,2,1,1,1,1,1,2,2,2,2,4,2,2,2,1,1,
1,2,2,1],[1,5,10,4,12,1,1,5,6,6,4,8,12,12,16,4,16,8,8,16,1,2,2,1,3,4,2,2,2,2,
6,2,2,8,8,4,4,4,8,8,8,8,8,8,16,8,16,1,1,1,2,1,1,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,2,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,5,2,12,4,1,1,1,4,16,2,
18,4,8,4,4,4,8,8,8,8,8,8,3,1,1,12,2,2,2,2,2,2,2,4,4,4,4,8,4,4,8,8,8,4,8,8,8,8,
8,8,1,1,1,2,1,1,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,6,4,12,4,3,2,3,9,
6,6,6,6,18,2,12,2,24,4,24,4,24,24,8,8,16,8,8,1,6,1,9,3,6,6,1,6,1,3,6,6,8,8,2,
2,2,2,2,2,6,2,2,2,2,2,24,4,8,4,24,4,24,4,24,16,8,8,8,8,8,8,16,1,3,3,3,1,1,1,1,
3,1,1,2,2,2,2,2,12,4,12,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,8,8,4,4,4,8,8,8,8,1,1,
1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,5,10,4,4,24,1,1,5,
2,6,4,8,12,4,4,16,4,8,8,16,8,8,8,40,16,16,8,8,8,1,2,2,1,1,2,2,2,4,2,2,2,4,4,4,
2,2,4,4,10,4,2,2,2,8,8,8,4,8,12,4,4,8,8,8,8,8,4,16,4,8,8,16,8,8,16,16,8,16,16,
16,1,2,1,1,2,2,2,2,2,1,2,1,2,2,4,2,2,4,4,2,2,2,2,4,2,2,2,4,4,4,4,2,4,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,4,8,4,16,16,16,16,1,2,2,1,2,1,1,1,2,2,2,2,2,2,2,4,
4,2,4,2,2,2,2,4,4,4,8,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,5,2,4,4,16,1,1,1,4,2,6,
4,12,8,4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,4,2,2,2,4,2,2,2,8,4,2,2,2,2,
2,2,4,4,4,8,4,4,8,4,4,4,4,8,8,8,8,8,8,8,16,2,1,2,1,1,1,1,1,2,1,2,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,9,6,4,4,8,1,7,3,2,6,12,12,4,4,4,
12,8,8,8,8,8,8,8,8,8,1,1,3,3,1,2,2,2,4,2,2,6,2,8,2,4,2,8,2,2,4,4,4,4,8,4,4,4,
8,4,8,4,4,8,16,8,8,8,8,1,1,2,1,2,2,2,2,1,1,4,2,2,2,2,2,1,1,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,2,4,2,2,4,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,5,4,10,12,4,12,1,1,5,6,6,16,2,18,4,8,4,6,4,6,16,12,4,4,
8,8,8,8,24,8,8,24,3,2,1,2,1,1,2,12,2,1,2,6,1,2,3,2,2,2,2,6,6,2,2,6,4,2,6,2,10,
2,6,2,2,2,6,4,6,2,4,24,8,4,8,4,4,4,4,4,12,4,8,4,8,8,4,4,4,16,8,8,8,8,8,16,1,1,
1,1,1,2,2,1,1,2,2,2,1,1,2,1,6,1,1,2,2,1,6,1,2,1,2,2,2,2,4,2,4,2,2,6,2,2,2,2,2,
2,4,2,4,2,2,2,4,4,2,2,6,2,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,2,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,10,4,12,1,1,5,6,6,4,8,4,12,8,16,
12,8,8,8,1,2,2,1,3,2,4,2,6,2,2,2,2,4,4,8,4,8,8,8,4,12,8,8,8,16,16,8,8,1,1,2,1,
1,1,3,2,2,4,2,2,2,1,2,2,2,2,2,4,2,2,4,4,2,4,2,4,4,2,2,4,4,4,4,4,1,1,2,2,1,1,1,
2,1,1,2,2,2,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,5,4,2,4,4,4,1,1,1,2,6,2,6,4,4,2,4,
6,12,8,4,4,8,8,8,8,8,8,1,1,1,1,2,2,3,2,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,
12,4,8,4,8,8,8,8,8,8,1,2,2,1,1,1,2,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,13,18,8,3,2,9,15,42,24,8,4,4,60,8,8,8,16,16,1,6,6,9,15,2,4,2,4,4,4,4,4,6,8,
24,32,4,4,4,4,4,48,8,8,8,8,8,32,16,8,16,1,3,1,2,2,1,3,2,2,2,2,2,2,12,2,2,2,4,
4,4,4,4,4,8,8,8,4,12,4,4,4,4,8,8,8,8,1,1,2,1,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,1,
1,1,1,1,1,1,1],[1,7,10,10,12,7,2,4,2,4,5,5,6,6,10,6,6,4,4,8,12,20,4,4,4,12,12,
1,1,1,5,3,3,6,5,2,2,6,4,6,2,6,3,3,6,6,3,10,3,6,3,3,10,4,2,2,4,2,6,6,2,6,12,12,
6,6,6,6,12,4,4,8,4,8,4,4,4,4,4,1,1,1,1,3,2,3,3,1,1,3,3,3,5,2,2,3,3,2,2,2,2,3,
3,1,2,3,1,1,2,3,1,3,3,3,2,2,3,6,6,6,2,2,2,2,2,2,12,6,2,2,2,2,2,2,2,2,6,2,2,4,
6,6,6,6,2,6,4,2,6,2,6,12,2,6,1,1,1,1,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,3,3,1,
1,2,1,3,1,1,1,3,1,1,1,2,3,1,2,2,2,2,2,2,6,2,6,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,7,8,20,7,28,4,10,10,8,20,20,12,8,1,14,5,5,2,2,10,20,6,12,12,6,4,4,40,
8,8,1,1,5,3,3,3,5,10,6,10,2,6,6,2,4,4,4,4,1,2,1,3,5,6,1,1,3,2,2,2,2,1,1,1,1,1,
1,1,1],[1,7,8,4,16,8,7,28,2,2,4,4,4,6,4,6,8,12,12,8,4,8,8,8,16,16,1,14,2,2,2,
3,2,3,2,2,6,4,4,4,4,4,4,12,4,6,8,4,4,6,4,8,4,4,8,8,4,16,4,24,8,8,8,1,1,3,2,1,
1,2,2,2,2,3,2,1,6,2,2,2,2,6,2,2,2,6,8,6,8,2,4,4,4,4,8,8,1,1,1,3,2,2,2,1,1,3,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,6,14,12,7,28,4,3,3,4,4,6,6,4,6,4,4,4,8,8,
12,4,4,12,4,4,4,24,24,12,12,1,14,1,1,3,3,3,2,3,2,2,2,4,6,2,3,3,3,2,6,6,6,3,2,
6,3,3,6,8,2,12,2,2,6,6,2,6,6,6,6,6,12,12,8,8,8,24,16,8,8,8,8,8,8,8,8,1,1,1,2,
1,3,1,1,1,3,3,3,3,2,3,2,2,3,2,2,2,4,3,1,2,3,3,1,1,3,2,3,4,1,3,3,3,3,2,2,6,6,4,
2,2,2,6,2,6,2,2,2,2,2,2,12,2,2,2,2,2,2,6,6,6,12,6,6,4,2,6,6,6,2,6,1,1,1,1,1,1,
2,3,1,1,1,1,1,2,1,1,1,2,3,3,1,1,1,2,1,1,1,3,1,1,3,1,1,1,1,1,3,1,1,2,6,2,2,6,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,10,10,8,1,2,2,2,6,2,4,5,5,6,
6,6,4,12,4,4,4,4,4,12,8,4,4,4,8,8,8,4,4,1,1,1,1,3,4,2,2,1,1,2,2,2,6,2,6,2,2,4,
4,6,1,3,2,2,4,4,5,4,8,2,2,1,2,4,8,3,5,2,4,4,2,8,2,2,6,2,2,6,4,8,6,10,6,6,4,4,
4,4,8,4,8,4,4,4,4,4,1,1,1,1,1,2,1,1,1,2,1,2,1,1,3,3,2,1,2,3,2,2,2,2,1,1,1,2,2,
1,1,1,2,2,2,2,2,2,1,2,1,2,1,2,1,2,2,2,3,2,2,1,2,4,4,2,2,2,2,2,4,2,2,2,6,6,4,2,
2,2,2,2,2,2,2,6,2,2,2,2,6,4,2,4,2,2,2,4,2,4,2,4,2,2,2,4,6,2,4,2,2,2,2,2,4,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,2,2,2,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,10,4,
28,1,1,5,4,10,2,4,8,8,8,4,12,20,16,12,16,16,24,24,16,16,8,16,2,2,1,4,4,2,4,2,
4,4,4,2,2,2,8,4,4,4,8,4,4,4,8,4,4,12,8,4,8,8,8,12,4,16,8,4,12,12,8,8,8,32,16,
8,8,8,24,8,16,1,1,1,1,1,1,2,1,2,2,2,2,2,3,2,1,2,2,2,2,2,4,4,2,4,4,2,4,2,2,2,6,
2,6,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,4,2,4,1,1,1,1,1,1,1,1],[1,3,12,4,8,8,1,4,4,6,12,8,8,18,10,4,4,8,8,8,8,
1,3,2,5,4,12,2,4,2,12,8,4,2,4,4,8,2,2,8,2,4,16,4,4,4,4,8,8,1,1,1,2,2,2,3,1,2,
1,3,4,2,4,2,2,2,4,2,4,2,2,2,4,4,4,4,4,4,4,1,1,2,1,2,1,2,2,2,1,1,2,2,1,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,5,4,10,4,12,12,1,1,5,6,6,6,6,4,8,12,6,12,6,16,4,8,4,8,4,
8,8,8,8,8,8,1,2,1,2,1,3,2,1,2,1,2,3,6,2,2,2,2,4,2,2,2,2,2,2,4,2,6,2,10,2,2,2,
2,2,2,2,2,2,2,4,2,2,8,8,8,8,8,8,8,8,4,8,8,12,4,4,8,4,8,24,8,8,8,16,16,1,1,1,1,
1,1,2,1,1,1,1,1,2,1,1,2,1,2,3,1,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,4,2,8,2,4,4,2,2,2,4,2,2,8,2,2,2,4,2,4,4,2,
2,4,2,6,2,2,4,4,6,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,8,10,10,20,7,2,28,2,4,5,5,6,6,10,10,10,4,4,20,
20,4,4,4,24,40,24,40,12,12,1,14,1,1,5,5,5,5,2,6,6,10,3,3,6,6,3,10,10,10,3,10,
3,3,10,8,8,4,2,20,2,2,6,6,2,6,6,6,6,6,20,20,8,8,4,40,24,4,4,4,4,4,4,24,24,8,8,
8,8,8,8,1,1,1,1,5,3,5,5,5,3,3,5,5,2,3,3,1,3,3,1,1,3,3,1,6,3,3,3,3,2,6,6,12,2,
2,2,2,6,2,6,12,2,2,2,2,20,2,2,2,2,2,2,2,2,6,6,6,20,2,6,6,2,6,6,6,6,8,8,8,8,1,
1,1,1,3,5,3,3,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,3,1,1,3,1,1,1,1,3,1,2,2,6,2,2,
6,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,12,12,8,1,4,6,12,12,12,18,6,
16,4,4,8,8,8,8,3,3,4,3,6,8,4,12,8,2,2,2,4,2,2,12,2,4,4,24,4,4,4,4,8,16,8,1,1,
1,2,3,3,3,3,6,6,2,6,2,2,2,4,2,2,4,4,4,4,4,4,4,3,3,3,2,6,1,1,1,1,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,7,8,12,8,8,1,2,2,16,4,18,12,4,8,8,14,6,4,4,16,16,8,8,8,8,3,1,
2,2,12,4,4,3,4,4,4,2,8,2,8,8,4,12,4,2,4,4,4,4,16,2,16,2,2,4,8,8,4,8,4,4,4,16,
8,1,2,2,1,1,1,1,4,3,4,3,2,2,2,2,8,8,2,2,2,2,2,2,4,4,2,2,4,4,4,4,4,8,8,4,1,2,1,
1,1,2,2,2,2,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,6,14,20,7,4,4,3,3,4,4,6,
10,4,10,4,4,4,8,20,4,4,12,4,4,4,8,8,12,12,1,1,1,3,5,5,6,2,3,2,2,6,3,3,6,2,6,2,
3,2,6,3,2,6,3,3,6,8,2,2,2,6,6,2,6,12,12,6,6,6,6,8,20,8,8,8,16,8,8,8,8,8,8,8,8,
1,1,1,3,1,1,3,2,3,3,5,1,1,3,2,2,2,3,3,3,3,1,3,1,1,2,2,2,2,3,1,2,3,3,3,4,2,3,2,
6,6,6,4,2,2,2,12,2,6,2,2,2,2,2,2,6,4,2,2,2,6,6,6,6,2,2,6,2,6,2,6,12,2,2,6,1,2,
1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,3,1,1,1,2,2,1,3,1,2,1,1,1,3,1,1,2,2,
2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,4,16,7,4,2,2,4,4,6,6,8,
20,12,4,8,8,8,1,2,6,3,2,3,2,2,4,10,4,4,4,12,4,6,4,4,6,4,4,8,4,8,8,1,1,5,1,2,1,
2,1,2,3,6,4,2,2,2,2,6,2,2,2,6,6,2,4,4,4,4,1,2,1,3,1,2,2,1,2,2,1,3,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,3,12,12,8,1,4,6,12,12,12,18,6,4,4,8,8,8,8,3,3,3,6,12,2,2,12,
2,4,12,2,2,12,2,4,4,24,4,4,4,4,8,8,1,1,3,3,3,3,3,6,6,2,6,2,2,2,4,4,2,2,4,4,4,
4,4,4,1,2,3,3,6,2,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,10,10,24,1,2,2,
2,6,2,4,5,5,6,6,6,12,4,4,4,4,4,4,16,12,8,4,4,4,24,24,32,24,32,20,20,1,1,1,1,3,
2,4,2,1,1,2,2,6,2,6,8,2,4,2,5,3,4,6,6,4,2,6,1,4,2,2,8,5,4,4,2,3,1,2,8,8,4,4,2,
4,2,4,2,6,10,2,6,8,4,6,2,6,6,8,4,8,4,4,8,8,8,4,8,24,24,4,8,16,4,4,4,4,4,24,24,
8,8,8,8,8,8,1,1,1,1,1,1,1,2,1,1,3,1,1,3,2,2,2,1,2,2,2,2,2,1,1,2,1,1,1,1,3,2,2,
2,2,1,2,1,1,2,2,2,2,1,2,2,2,2,3,1,2,2,2,2,2,12,2,2,2,4,2,4,2,2,2,2,12,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,4,2,4,2,4,4,2,2,2,6,2,2,2,4,4,6,2,2,4,2,4,6,6,2,8,8,8,8,8,
8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,2,1,
1,2,2,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,
22,8,8,1,4,3,15,4,24,48,8,4,8,4,60,4,8,8,8,8,16,16,4,4,8,6,3,2,2,2,2,2,4,2,2,
2,18,24,16,12,4,4,4,4,4,4,60,4,8,4,8,8,8,8,4,8,24,8,8,16,8,8,8,16,1,1,1,1,1,3,
2,3,2,2,2,1,3,12,2,2,2,4,2,2,4,2,2,2,4,2,2,2,2,4,2,2,12,6,2,4,4,4,4,4,4,4,4,8,
8,8,8,8,8,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,3,4,4,6,14,16,1,2,2,6,4,3,3,4,4,10,8,4,8,4,4,4,4,8,8,4,4,4,8,4,4,4,24,
16,16,20,20,1,1,1,1,1,2,2,2,2,1,2,3,2,2,2,4,2,2,4,2,5,3,4,6,4,2,1,4,2,2,2,4,5,
2,4,4,2,3,1,2,2,12,2,2,6,10,2,6,8,4,6,2,6,6,8,4,8,8,8,8,8,16,8,8,8,8,8,8,8,8,
8,8,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,1,1,2,1,2,1,1,1,3,2,2,2,
2,1,1,2,1,2,2,2,2,1,2,2,2,3,1,2,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,4,2,2,4,2,2,2,4,4,2,2,2,6,2,2,4,4,6,4,2,2,4,2,4,2,6,6,2,1,1,1,1,1,1,1,2,
1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,2,1,1,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,20,8,1,2,4,4,4,
4,10,4,4,6,8,8,4,12,8,12,8,8,1,2,2,2,2,3,2,2,1,2,2,2,4,4,6,8,12,8,6,4,4,8,4,8,
4,8,8,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,4,2,4,4,
4,4,1,1,1,2,1,2,1,2,1,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,6,8,8,3,2,3,9,
4,18,8,4,8,4,12,8,8,6,9,2,2,6,2,2,2,4,2,2,4,4,4,4,4,4,8,8,4,8,4,8,4,8,8,16,8,
1,1,1,1,1,1,2,2,2,1,1,1,1,2,2,1,2,4,2,2,2,2,4,2,2,4,4,4,2,4,4,4,2,4,4,4,4,4,4,
4,4,4,4,4,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,1,1,1,1,1,1,
1,1],[1,3,4,4,16,1,2,4,2,2,4,6,8,4,10,8,8,4,4,4,8,8,8,8,1,2,4,2,2,1,2,3,2,2,2,
4,4,4,4,4,4,6,4,8,4,6,4,4,4,8,4,4,8,8,1,1,2,2,1,3,1,1,2,1,2,2,2,2,2,2,2,2,4,2,
2,4,4,2,2,4,2,4,2,4,4,4,4,1,1,1,2,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,4,4,16,16,1,2,4,2,2,4,8,6,4,10,8,8,4,4,16,4,8,8,8,16,16,16,8,1,2,4,2,
2,1,2,3,2,2,2,4,4,4,4,4,4,4,4,6,8,4,4,6,12,4,4,8,4,4,8,4,16,8,8,4,8,8,8,16,8,
1,1,2,1,2,1,1,2,1,3,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,2,4,2,2,8,4,4,8,8,4,4,8,2,1,
1,1,2,1,1,1,2,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,12,8,1,4,16,18,12,
18,18,4,4,8,8,8,8,3,3,12,9,12,12,2,2,36,4,2,4,2,2,2,4,4,4,4,4,8,16,8,1,1,3,3,
9,9,9,2,2,2,2,4,4,2,2,4,4,4,4,4,4,3,3,9,1,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,5,4,10,4,20,12,1,1,5,6,6,4,6,2,4,8,8,8,4,8,6,12,6,16,4,16,12,24,12,24,16,16,
8,16,8,8,8,8,2,1,2,1,2,2,2,3,3,2,3,2,4,4,2,2,2,4,2,6,4,2,2,2,2,4,2,2,2,4,10,2,
2,4,8,2,2,4,2,4,2,8,4,12,4,8,8,4,8,8,4,4,16,8,8,8,4,4,4,4,8,12,4,4,8,8,8,8,8,
24,8,8,8,8,8,8,16,16,24,16,16,16,1,1,1,1,1,1,2,1,1,1,2,2,2,2,1,2,3,2,1,1,1,1,
1,1,1,1,1,2,2,2,1,1,1,2,1,1,2,2,4,2,4,4,4,4,2,4,4,2,4,2,4,2,4,4,4,4,2,4,2,4,4,
2,2,2,4,2,2,6,2,4,2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,
4,8,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,2,1,2,1,
3,3,3,3,1,2,3,2,2,3,1,1,1,1,2,2,1,1,2,1,1,1,2,1,1,3,1,1,2,2,3,1,3,1,2,1,2,1,1,
1,1,3,1,1,2,1,2,1,1,1,2,1,2,2,1,1,2,1,1,2,1,2,3,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1],[1,7,8,4,8,1,2,2,6,12,4,8,14,14,4,4,
8,8,8,8,1,1,2,7,4,4,4,4,4,4,2,4,2,4,4,4,4,2,4,4,2,2,2,4,8,4,8,4,4,4,8,1,1,2,1,
1,2,1,2,3,2,2,1,2,2,6,4,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,2,1,2,1,2,1,1,2,2,2,
2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,6,14,16,1,2,2,6,4,3,3,4,4,10,8,4,8,4,
4,4,4,8,8,4,4,4,8,4,4,4,8,8,8,8,8,4,4,1,1,1,1,1,2,2,2,2,1,2,3,2,2,2,4,4,6,1,3,
2,2,2,4,4,2,5,4,2,4,2,2,1,2,2,4,4,3,5,2,2,8,2,2,6,2,2,6,4,8,6,10,6,6,4,12,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,2,1,1,1,2,1,2,1,1,1,1,2,1,2,2,2,3,2,2,2,
2,1,1,1,2,1,1,1,2,2,2,2,1,1,2,2,1,2,1,2,2,2,3,2,2,2,2,1,2,2,4,4,4,2,2,4,2,2,2,
6,6,2,4,2,2,2,2,6,2,2,2,2,2,6,4,4,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,6,2,4,2,2,2,2,
2,2,4,1,1,1,1,1,1,1,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,9,6,8,3,2,3,9,18,12,4,4,12,8,8,6,9,6,6,6,6,6,6,2,4,2,4,4,4,4,4,4,8,48,8,8,1,
3,3,1,1,2,2,2,12,12,12,2,2,4,4,4,4,4,4,4,4,4,3,1,1,4,2,2,2,2,2,4,4,1,1,1,2,2,
1],[1,5,10,8,8,1,1,5,4,4,8,4,4,8,4,16,8,8,16,8,24,2,2,1,2,2,2,2,2,2,2,2,4,2,8,
8,4,4,4,4,12,8,4,16,16,16,16,16,1,1,1,1,1,4,2,2,4,4,2,4,2,2,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,7,20,8,7,4,4,4,10,4,10,8,12,20,8,
12,8,1,2,2,6,5,5,2,2,6,20,6,12,6,4,8,8,4,4,8,8,8,8,8,1,1,3,1,3,2,5,1,6,2,2,2,
2,2,6,2,2,2,2,2,6,6,2,4,4,4,4,1,1,1,3,2,2,2,1,2,2,1,3,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,9,4,6,4,4,12,3,2,3,9,6,6,2,6,18,12,6,4,6,8,4,4,8,8,8,8,8,8,1,6,1,9,1,6,
1,4,1,2,2,3,6,2,2,4,2,2,2,2,2,2,4,2,6,2,6,2,2,2,2,2,2,2,2,6,2,4,2,6,4,8,4,8,8,
8,8,8,4,8,4,4,4,4,4,4,8,8,16,8,1,1,1,1,1,1,1,3,1,3,1,1,1,1,2,1,2,3,1,1,1,3,1,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,
8,2,4,4,2,2,2,2,2,8,2,2,2,4,2,4,2,2,4,2,4,6,2,2,4,4,6,2,2,2,2,2,2,2,2,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,2,1,2,2,1,1,2,2,1,2,2,1,1,2,
1,2,2,1,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,20,8,1,2,
4,4,4,4,10,4,4,6,8,8,4,12,8,12,8,16,8,1,2,2,2,2,3,2,2,1,2,2,2,4,4,6,4,8,12,8,
6,4,8,8,4,4,8,8,8,8,16,8,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,
4,2,4,2,2,4,4,4,4,1,1,1,2,1,2,1,1,2,2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,
8,4,8,1,2,2,2,12,4,12,4,14,10,4,4,8,8,8,8,1,2,1,5,4,6,4,4,4,4,2,2,4,4,2,4,4,4,
2,2,4,2,4,4,8,4,8,4,4,4,8,1,1,2,2,2,1,1,1,3,2,1,2,4,4,2,2,2,2,2,2,2,2,4,4,2,2,
4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,20,
8,1,2,2,10,12,4,4,20,14,10,16,16,4,16,4,8,8,8,8,1,2,5,4,5,2,4,4,8,4,4,2,2,4,4,
8,8,2,4,8,4,20,2,2,12,2,16,4,4,8,8,4,8,4,4,4,16,8,1,1,2,5,2,3,2,1,1,2,1,2,4,2,
2,4,2,2,8,2,2,8,4,2,2,4,4,4,4,8,4,8,4,4,1,1,2,1,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,12,4,4,32,1,16,18,12,12,3,12,16,1,1,8,4,4,32,1,3,3,4,4,
2,1,1,1],[1,9,6,16,16,8,3,2,3,9,18,24,6,9,16,12,8,8,2,12,8,1,6,8,1,1,2,1],[1,
3,12,16,4,20,1,4,12,18,12,12,3,12,16,4,1,16,4,5,4,12,4,1,3,3,4,4,1,1,1,1,1],[
1,3,3,9,4,16,20,1,1,3,3,9,9,9,12,12,3,3,9,16,4,1,4,5,4,4,12,4,12,1,3,3,4,4,1,
1,1,1,1],[1,3,9,27,1,4,8,1,3,3,9,9,27,27,1,4,9,9,12,12,24,3,3,9,9,9,9,9,4,2,1,
3,1,9,3,3,9,3,12,9,4,4,4,1,3,1,3,3,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,6,3,9,18,
4,1,8,1,3,3,9,9,9,9,18,18,4,1,3,12,12,3,6,6,24,3,3,9,9,9,9,9,4,1,2,1,3,3,3,12,
3,3,3,6,6,9,4,4,4,1,1,3,3,3,3,3,6,3,3,3,1,4,3,3,1,1,1,1],[1,3,9,27,1,4,8,3,1,
3,9,27,27,9,1,4,9,9,12,12,24,9,3,3,9,9,9,9,4,1,1,3,2,3,3,3,9,9,12,9,4,4,4,1,1,
3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,
28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,
7,8,7,1,1],[1,21,42,64,7,14,21,63,126,168,252,3,42,42,48,63,63,126,168,168,
168,504,112,224,7,14,21,63,126,168,252,21,42,28,56,1,1],[1,9,6,12,36,64,3,2,3,
4,9,12,18,18,18,24,36,36,36,72,72,72,72,72,72,3,6,9,9,18,18,18,18,24,24,24,24,
36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,144,144,32,48,64,192,1,6,6,8,9,9,
12,18,18,24,36,36,36,36,36,72,72,72,144,3,18,18,24,4,24,24,32,1,1],[1,3,12,12,
64,1,4,16,18,12,18,18,3,3,12,9,12,12,36,16,16,48,64,1,1,3,3,9,9,9,3,3,9,4,4,
12,1,1],[1,21,42,16,7,14,21,63,126,168,252,48,3,42,42,48,63,63,126,168,168,
168,504,8,12,16,7,14,21,63,126,168,252,12,24,24,21,42,1,8,12,1,3,1],[1,9,6,12,
36,16,3,2,3,4,9,12,18,18,18,24,36,36,36,72,72,72,72,72,72,48,3,6,9,9,18,18,18,
18,24,24,24,24,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,144,144,12,8,16,1,
6,6,8,9,9,12,18,18,24,36,36,36,36,36,72,72,72,144,12,24,24,3,18,18,24,1,8,12,
1,3,1],[1,9,6,12,36,16,3,2,3,4,9,12,18,18,18,24,36,36,36,72,72,72,72,72,72,48,
3,6,9,9,18,18,18,18,24,24,24,24,36,36,36,36,48,72,72,72,72,72,72,72,72,72,72,
144,144,4,4,12,16,1,6,6,8,9,9,12,18,18,24,36,36,36,36,36,72,72,72,144,12,12,
12,24,3,18,18,24,1,4,4,12,1,3,1],[1,3,12,12,16,1,4,16,18,12,18,18,48,3,3,12,9,
12,12,36,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,12,12,16,1,4,16,18,12,
18,18,48,3,3,12,9,12,12,36,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,12,
12,16,1,4,16,18,12,18,18,48,3,3,12,9,12,12,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,
3,9,4,4,12,1,1],[1,21,42,16,7,14,21,63,126,168,252,48,3,42,42,48,63,63,126,
168,168,168,504,4,4,12,16,7,14,21,63,126,168,252,12,12,12,24,21,42,1,4,4,12,1,
3,1],[1,7,12,24,16,7,6,6,12,12,6,6,8,12,12,24,24,24,16,16,16,1,6,3,6,3,2,2,12,
12,12,12,6,12,6,12,12,24,24,8,4,16,3,3,6,3,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,
6,6,4,8,3,1,1],[1,7,12,16,7,6,6,8,24,12,16,1,3,3,2,2,12,12,6,12,6,12,8,4,16,6,
3,3,3,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,8,12,16,7,28,6,6,8,12,12,
16,32,1,14,3,3,2,2,6,12,6,6,24,8,4,16,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,
9,6,24,16,1,7,3,12,12,24,12,12,32,24,24,48,1,3,3,6,8,6,6,6,6,6,16,8,8,24,24,
24,24,24,8,4,16,2,1,2,3,3,6,6,6,6,12,12,24,24,24,24,8,4,8,16,8,3,4,6,6,12,4,8,
8,1,1,1],[1,7,12,16,7,4,6,6,8,12,12,16,1,6,3,3,2,2,6,12,6,6,8,4,16,1,3,3,6,6,
6,6,4,8,8,1,3,3,4,1,1,1],[1,9,6,4,12,16,3,2,3,9,6,6,18,12,16,24,24,24,24,16,1,
6,9,3,6,6,6,6,8,8,24,24,24,24,24,12,8,16,1,3,3,4,12,12,12,12,4,8,8,1,6,1,4,1,
1,1],[1,7,6,6,16,7,4,3,3,6,4,24,12,12,12,16,1,1,1,3,3,2,6,12,6,3,6,3,6,6,6,6,
4,4,4,16,6,3,3,3,6,3,3,3,3,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,13,
18,24,16,3,2,9,15,42,24,12,12,60,24,48,24,16,32,1,6,6,9,15,6,6,6,8,24,32,12,
12,12,12,48,12,24,24,24,24,24,48,8,12,16,1,3,3,3,3,12,6,6,6,12,6,12,6,12,12,
12,12,12,24,24,4,8,8,8,16,1,3,3,6,6,6,6,12,1,4,8,3,1,2,1],[1,13,18,24,16,3,2,
9,15,12,42,24,12,24,60,24,24,24,16,32,1,6,6,9,15,6,12,6,6,6,6,6,6,8,24,32,12,
12,36,48,36,24,24,24,24,8,12,16,1,3,3,3,3,3,6,6,6,12,6,9,6,6,12,12,6,18,12,6,
24,24,8,4,8,8,16,1,3,6,3,6,6,6,6,6,1,4,8,3,1,2,1],[1,9,12,6,4,12,12,16,3,2,3,
9,18,18,6,6,18,6,12,6,24,12,24,12,24,24,24,24,16,16,16,1,6,3,9,3,18,6,3,6,3,9,
6,6,8,8,6,6,6,6,6,6,18,6,6,6,6,6,24,24,12,24,12,24,24,24,24,24,12,8,16,1,3,3,
9,3,3,3,3,9,3,3,6,6,6,12,12,6,6,6,6,6,6,6,6,6,24,24,12,4,4,8,8,8,1,3,3,3,3,3,
3,6,6,6,6,1,4,8,3,1,1,1,1],[1,9,6,4,12,16,3,2,3,9,6,6,18,12,24,24,24,24,24,24,
16,1,6,9,3,6,6,6,6,8,8,24,12,12,24,24,24,24,24,12,8,16,1,3,3,6,6,12,12,6,6,6,
6,24,24,4,8,8,1,3,3,12,1,4,8,3,1,1],[1,9,6,4,12,24,16,3,2,3,9,6,6,18,12,12,12,
24,24,24,24,24,24,24,24,32,16,1,6,9,3,6,6,6,6,6,6,8,8,6,12,6,12,12,6,6,24,12,
24,24,24,12,24,24,24,24,24,24,12,8,16,1,3,3,6,3,3,3,3,6,12,6,6,6,12,6,12,6,12,
6,6,6,6,6,24,24,8,4,8,8,16,1,6,3,3,6,6,6,6,6,1,4,8,3,2,1,1],[1,7,36,16,7,12,
18,18,8,36,36,24,16,32,1,9,9,2,2,36,6,36,6,12,24,24,8,4,16,3,9,9,6,6,6,12,12,
8,4,8,8,8,8,3,1,3,6,6,4,8,3,1,1],[1,13,18,16,3,2,9,15,16,42,24,60,16,1,6,6,9,
15,24,6,8,24,32,48,8,12,16,1,4,3,3,12,12,12,12,4,8,8,1,6,1,4,1,1,1],[1,9,6,4,
12,24,16,3,2,3,9,6,6,18,12,12,12,24,24,24,24,24,24,24,24,32,16,1,6,9,3,6,6,6,
6,8,8,6,6,12,6,6,6,6,24,12,12,24,12,24,12,24,24,24,24,24,48,12,8,16,1,3,3,3,3,
6,6,12,6,12,6,6,6,6,6,6,12,12,12,12,24,24,8,4,8,8,16,1,3,3,6,6,6,6,12,1,4,8,3,
1,2,1],[1,7,6,30,16,7,4,3,3,12,12,6,12,12,12,4,24,12,12,12,12,16,32,1,1,1,3,6,
3,6,2,3,6,6,6,3,6,24,6,6,6,24,24,24,4,4,4,16,3,3,3,6,3,3,6,3,3,6,6,6,6,6,4,8,
4,4,8,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,12,24,16,7,12,6,12,6,8,12,24,16,32,
1,6,6,3,3,2,2,12,6,6,12,24,12,24,8,4,16,3,6,3,3,6,6,6,6,12,12,4,8,8,8,1,3,3,6,
6,4,8,3,1,1],[1,13,8,18,16,3,2,9,15,12,28,42,24,60,16,32,1,6,6,14,9,15,12,18,
6,8,24,32,36,48,8,12,16,1,1,3,3,3,6,18,12,18,6,12,4,8,8,8,1,3,2,3,6,1,4,1,1,2,
1],[1,7,6,6,24,16,7,4,3,3,6,12,12,4,24,12,12,12,24,24,16,32,1,1,1,3,6,6,3,2,3,
6,6,6,3,6,6,6,6,24,24,24,24,4,4,4,16,6,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,8,8,8,
8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,9,6,12,12,16,1,7,3,16,6,18,12,12,12,12,16,24,
24,48,1,3,3,3,3,12,4,6,6,6,6,6,8,8,8,12,12,12,12,12,12,24,24,4,4,4,16,1,1,1,2,
3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,4,12,4,8,8,8,3,3,3,4,6,12,4,4,4,8,1,1,
1],[1,13,18,16,3,2,9,15,42,24,60,24,24,16,1,6,6,9,15,6,8,24,32,12,48,24,12,24,
8,12,16,1,3,3,6,6,6,12,6,6,6,12,24,24,4,8,8,1,3,3,12,1,4,8,3,1,1],[1,9,6,12,
12,16,3,2,3,9,16,6,18,18,12,12,24,24,24,24,48,3,6,9,3,12,6,6,6,6,6,8,8,12,12,
12,24,24,24,24,24,12,8,16,1,1,3,3,3,6,6,6,6,12,12,12,12,12,8,8,1,2,3,3,6,1,4,
1,1,2,1],[1,7,6,6,12,16,7,4,4,3,3,6,6,6,4,12,12,12,12,16,1,1,1,3,3,3,6,3,2,6,
3,3,6,6,3,6,3,6,3,3,6,6,6,6,12,12,6,6,6,6,12,4,4,4,16,1,1,1,3,3,3,3,3,3,2,3,3,
3,3,3,3,3,3,3,3,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,
4,8,1,1,1],[1,7,18,18,16,7,6,6,4,9,9,18,18,18,12,4,36,12,16,16,16,1,1,1,9,9,2,
18,18,3,18,3,18,12,6,6,6,12,12,12,4,4,4,16,3,9,9,3,3,3,3,6,6,6,6,6,4,4,4,4,4,
4,4,4,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,13,18,12,12,16,3,2,9,15,6,18,42,24,24,
12,60,12,24,24,16,16,16,1,3,6,6,9,15,3,6,6,6,6,12,6,6,8,24,32,12,12,24,24,12,
24,48,12,24,24,24,8,12,16,1,3,3,3,3,9,6,6,12,3,12,6,6,6,6,12,6,12,6,12,6,24,
24,12,4,4,8,8,8,1,3,3,3,3,3,6,3,6,6,6,1,4,8,3,1,1,1,1],[1,7,8,6,6,12,16,7,28,
4,3,3,6,6,6,4,12,12,24,24,12,12,16,32,1,14,1,1,3,3,3,3,2,6,3,3,3,6,6,6,3,6,3,
3,6,12,6,6,6,6,6,6,6,12,12,8,8,24,4,4,4,16,1,1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,
3,3,3,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,4,4,4,8,
1,1,1],[1,3,4,6,18,24,16,1,1,3,3,3,3,3,6,9,9,12,6,24,12,18,18,12,24,12,12,24,
12,24,24,16,32,1,3,3,4,4,6,3,3,6,6,3,6,3,8,6,12,6,12,6,6,6,6,6,6,6,6,12,12,12,
12,12,24,12,24,12,12,12,12,12,24,24,24,4,4,12,16,1,3,3,3,3,3,3,3,3,6,6,6,3,3,
6,6,6,6,6,12,6,12,12,12,6,6,12,6,6,12,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,
4,4,4,3,1,2,1],[1,9,4,6,12,12,16,3,2,3,9,6,6,18,18,18,6,6,12,24,12,16,16,16,3,
6,1,9,6,3,9,6,6,3,6,3,6,6,18,6,18,6,6,6,6,6,6,12,12,8,12,16,1,9,3,3,9,3,3,6,6,
6,6,6,6,6,6,12,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,36,16,7,4,18,18,24,36,
12,24,16,32,1,9,9,6,6,36,18,12,18,12,24,24,4,16,16,1,3,9,6,18,18,12,12,4,8,16,
1,3,3,6,6,1,4,3,1,2,1],[1,3,4,18,6,12,16,1,2,6,2,12,3,9,6,6,6,6,12,12,12,12,
24,12,16,16,16,1,3,3,3,6,6,6,3,6,6,3,12,3,6,12,6,6,6,6,12,6,6,6,6,12,12,12,4,
8,8,16,1,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,4,8,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,9,12,6,4,12,16,3,2,3,9,18,18,6,18,6,6,6,12,24,12,16,16,16,1,6,3,9,18,9,
3,6,6,3,6,3,18,6,6,6,6,6,6,6,6,6,6,12,12,12,8,16,1,3,9,9,3,3,3,6,6,6,6,6,6,6,
6,12,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,8,12,16,7,28,4,6,6,12,12,12,16,
32,1,14,3,3,6,12,12,12,24,4,16,16,1,1,3,3,3,3,3,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,
1],[1,3,12,12,16,1,4,6,12,12,12,18,6,16,48,3,3,4,3,6,8,4,12,8,12,24,4,4,16,1,
1,1,2,3,3,3,3,6,6,6,4,12,8,8,4,3,3,3,6,4,4,8,4,1,1],[1,3,12,4,24,16,1,4,6,12,
18,6,12,12,24,24,24,32,16,1,3,3,12,6,6,12,6,12,6,6,6,12,12,12,12,24,24,4,16,
16,1,3,3,6,6,6,6,12,12,12,12,4,8,16,1,3,3,6,6,1,4,3,1,2,1],[1,9,4,6,12,12,16,
3,2,3,9,6,6,6,18,6,6,12,6,12,12,24,12,16,16,16,6,1,9,3,6,6,3,3,3,6,6,3,6,6,6,
6,6,6,12,6,12,6,6,6,6,6,12,12,8,12,16,1,3,3,3,3,3,6,6,6,3,6,6,6,6,6,6,6,4,4,8,
4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,6,4,24,16,3,2,3,9,6,18,6,12,12,12,12,12,
12,24,32,16,1,6,9,3,3,3,6,6,3,6,12,3,6,6,6,6,6,6,12,6,12,6,6,12,12,12,12,8,16,
1,3,3,3,3,6,3,6,6,3,6,6,6,6,6,6,6,8,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,
12,16,1,6,12,6,6,24,24,16,1,3,3,12,12,12,12,4,16,1,3,3,6,6,4,1,3,3,1,4,3,1,
1],[1,7,18,18,16,7,2,2,12,9,9,6,6,18,12,12,36,12,16,16,16,1,3,3,9,9,6,6,6,9,
18,9,18,12,6,6,18,12,12,12,4,8,16,8,1,3,9,9,3,9,3,18,6,6,6,6,4,4,4,8,8,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,3,4,6,18,12,16,1,2,6,2,9,3,6,6,6,6,12,12,12,12,12,
24,12,16,16,16,1,3,3,3,6,6,3,3,12,6,6,6,3,6,6,6,6,6,6,6,12,6,6,12,12,12,12,4,
8,8,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,3,4,12,24,16,1,6,12,6,6,12,12,24,24,16,32,1,3,3,6,6,6,12,6,6,12,6,12,12,
12,12,12,4,16,1,3,3,6,6,6,6,12,12,12,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,7,12,16,
7,4,6,6,24,12,12,16,1,3,3,12,12,12,12,4,16,16,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,
3,4,12,24,16,1,16,18,6,6,12,12,24,24,24,16,32,3,1,12,3,6,6,12,12,6,12,6,6,6,
12,12,12,48,4,16,16,1,3,3,6,6,12,12,6,6,12,12,4,8,16,1,3,6,3,6,1,4,3,1,2,1],[
1,3,4,6,18,16,1,1,3,3,3,3,3,6,9,9,6,12,24,12,18,18,12,24,12,12,12,16,1,3,3,4,
4,6,3,3,6,6,3,3,6,8,6,12,6,12,6,6,6,6,6,6,6,6,12,12,12,24,12,12,4,4,12,16,1,3,
3,3,3,3,3,3,3,6,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,
1,1],[1,9,22,24,16,1,4,3,15,24,48,12,60,12,24,48,24,16,32,4,4,8,6,3,6,18,24,
16,12,6,12,60,12,12,12,24,12,24,24,24,24,48,4,4,12,16,1,3,3,3,3,12,6,6,6,12,6,
6,12,12,12,12,24,12,24,12,4,4,4,8,8,8,8,1,3,6,3,6,6,6,12,1,4,4,4,3,1,2,1],[1,
7,6,6,24,16,7,2,2,3,3,6,6,6,12,12,24,12,12,12,12,12,16,32,1,3,6,6,3,6,6,3,3,6,
3,3,6,6,6,6,6,6,6,6,6,24,12,12,12,12,4,8,16,8,1,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,4,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,8,6,6,12,16,7,2,28,2,3,3,6,6,6,6,
6,12,12,24,24,24,24,16,32,1,14,3,3,3,3,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,24,24,
24,24,4,8,16,8,1,1,3,3,3,3,3,3,3,3,3,6,12,12,12,12,4,8,8,8,1,1,1,3,3,3,3,1,4,
1,1,1,1,1],[1,3,4,16,1,3,3,6,12,6,12,16,1,3,3,6,12,6,12,12,4,16,3,3,3,6,6,6,4,
1,3,3,4,3,1,1],[1,3,12,12,16,1,4,6,12,12,12,18,6,48,3,3,3,6,12,12,12,12,24,4,
16,1,1,3,3,3,3,3,6,6,6,12,1,2,3,3,6,1,4,1,1,2,1],[1,3,4,6,18,24,16,1,2,6,2,9,
3,6,6,6,12,6,12,12,12,12,12,24,48,24,24,36,16,16,16,1,3,3,3,6,6,6,6,6,6,6,12,
9,3,3,8,8,6,6,6,6,6,6,6,6,6,6,24,24,24,12,12,12,12,24,24,24,24,24,4,8,8,16,1,
3,3,3,3,3,3,3,3,3,3,6,12,6,6,6,6,12,6,6,6,6,6,6,6,6,6,24,24,4,4,4,8,8,8,8,1,3,
3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,9,22,16,1,4,3,15,24,48,12,60,12,24,16,4,
4,8,6,3,6,18,24,16,12,6,12,60,12,12,24,4,4,12,16,1,3,3,3,3,12,6,6,6,12,6,6,12,
12,12,12,4,4,4,8,1,3,6,3,6,1,4,4,4,3,1,1],[1,9,6,16,1,7,3,12,12,12,12,48,1,3,
3,6,6,8,8,8,24,4,16,1,2,2,3,3,6,6,6,6,4,8,8,8,3,6,6,4,8,8,1,1],[1,9,6,16,3,2,
3,9,18,12,12,48,6,9,6,6,6,6,6,6,48,4,16,1,3,3,12,12,12,12,3,4,4,1,1,1],[1,3,4,
24,16,1,3,3,6,12,6,24,12,16,32,1,3,3,6,12,6,12,12,12,12,4,16,3,3,3,6,6,6,4,8,
1,3,3,4,3,1,1],[1,3,4,18,6,24,16,1,2,6,2,12,3,9,6,6,6,12,6,12,12,12,12,24,24,
24,48,36,16,16,16,1,3,3,3,6,6,12,9,3,6,6,3,6,6,6,8,8,12,6,6,6,6,6,6,6,6,6,6,
24,12,24,24,12,12,24,24,24,24,24,4,8,8,16,1,3,3,3,3,3,3,3,3,3,3,12,6,6,6,12,6,
6,6,6,6,6,6,6,6,6,6,24,24,4,8,4,4,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,
1],[1,3,12,4,16,1,4,6,12,18,6,24,16,1,3,3,12,12,12,12,4,16,16,1,3,3,6,6,4,1,3,
3,1,4,3,1,1],[1,3,4,12,16,1,16,18,6,6,24,16,3,1,12,3,12,12,12,4,16,16,1,3,3,6,
6,4,1,3,3,1,4,3,1,1],[1,3,6,14,6,30,4,1,1,3,3,16,18,3,6,9,9,4,6,6,6,6,6,12,24,
12,12,48,36,4,20,20,3,3,12,2,3,3,9,9,9,9,3,9,3,9,9,6,4,6,6,6,6,18,6,24,6,6,6,
6,6,6,12,6,6,6,6,6,12,12,12,12,24,1,4,4,12,4,4,20,12,1,3,1,3,1,9,9,3,3,9,9,3,
6,3,3,3,6,3,3,3,3,3,3,6,3,3,3,3,3,3,6,6,6,6,6,12,12,1,3,3,4,4,2,2,4,4,4,4,4,3,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,1,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,2,18,
18,18,4,1,3,1,1,16,18,9,18,3,3,12,6,18,6,18,18,12,24,12,12,24,12,4,12,12,8,8,
3,1,12,6,3,9,3,3,3,3,3,3,9,3,3,6,12,6,6,18,18,6,6,8,6,6,6,6,6,6,36,6,6,6,6,6,
12,12,12,12,24,1,4,4,4,12,4,12,4,8,8,1,1,3,1,3,3,3,3,3,3,3,3,18,3,3,3,6,3,3,3,
3,3,3,6,3,3,3,3,3,3,18,6,6,6,6,12,12,1,3,3,4,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,1,1,1,3,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,2,6,30,18,4,1,1,1,3,
6,6,6,3,3,12,3,16,6,18,6,18,12,18,12,12,12,24,24,12,12,4,12,12,8,8,3,1,4,8,6,
3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,8,6,12,6,6,6,6,6,6,12,12,6,6,12,12,6,
6,24,12,24,12,12,1,4,4,4,12,4,12,4,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,3,6,3,
3,3,3,6,3,3,3,3,3,3,6,3,6,6,12,12,6,6,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,9,8,6,6,
18,12,4,1,7,3,4,28,3,3,12,6,6,6,6,12,6,12,12,24,12,24,12,24,24,4,12,12,8,8,1,
14,3,3,4,3,3,3,6,3,3,3,8,6,6,6,12,6,6,6,6,6,12,6,6,12,6,6,6,6,12,6,12,12,12,
12,24,12,12,24,12,1,4,4,4,12,4,12,4,8,8,1,1,1,3,3,6,3,6,3,3,3,3,3,3,3,6,3,3,3,
3,3,3,3,3,3,6,3,3,3,3,3,12,12,12,12,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,21,42,12,
36,7,14,21,4,63,12,18,18,126,24,168,36,36,36,36,252,36,72,72,72,72,72,72,3,3,
42,42,48,63,63,9,18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,
36,36,36,36,36,36,36,48,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,144,144,
144,144,7,14,21,6,6,8,9,9,9,63,9,12,18,18,18,18,18,18,18,18,126,18,18,18,18,
18,18,18,18,18,18,24,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,252,36,72,72,72,144,144,144,144,144,21,3,42,6,6,6,6,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,
36,36,36,72,1,1,6,9,9,9,18,18,18,18,18,18,18,18,3,3,9,1],[1,21,42,12,36,7,14,
21,63,16,18,18,126,168,36,36,252,36,48,72,72,72,72,3,3,42,42,48,63,63,9,12,12,
18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,24,168,168,24,36,36,36,36,36,
36,72,72,72,72,504,72,72,72,72,72,72,72,144,144,7,1,14,3,21,6,6,6,9,9,9,9,9,
63,9,18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,168,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,72,72,72,72,72,
72,144,144,144,144,21,3,6,42,6,6,6,9,9,9,9,9,9,9,9,9,12,12,12,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,1,2,3,3,3,6,6,
6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,3,6,9,9,18,18,1],[1,13,18,12,36,3,2,9,4,15,16,12,18,18,42,24,24,36,
36,12,36,60,12,72,72,72,72,72,72,48,1,3,6,6,9,15,9,18,18,6,6,6,24,6,18,6,18,6,
6,24,24,24,8,24,32,24,36,36,12,36,12,36,12,12,48,24,24,72,72,72,48,24,72,72,
72,24,24,72,72,72,72,48,48,144,48,144,1,4,3,6,6,8,3,9,3,3,9,12,12,18,18,6,6,6,
12,6,6,6,6,6,6,6,6,6,12,24,12,36,36,36,36,12,12,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,72,72,72,48,48,48,48,144,1,3,2,2,3,3,3,3,3,6,18,6,18,6,6,
6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,1,1,3,3,3,6,6,
6,6,6,6,6,6,1,3,3,1],[1,13,8,18,12,36,24,3,2,9,4,15,12,28,12,18,18,42,24,24,
36,36,12,12,36,12,60,12,72,24,72,24,72,72,72,72,48,48,48,48,48,1,3,6,6,14,9,
15,9,12,18,6,18,6,6,6,6,18,6,18,6,18,6,6,24,24,24,8,24,32,24,12,36,12,36,12,
12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,36,12,12,12,12,48,16,16,24,24,
72,72,72,24,24,48,24,24,72,72,24,24,24,72,24,24,24,24,72,24,24,24,72,72,72,24,
48,48,48,48,48,48,144,48,48,48,144,48,48,48,48,48,1,1,3,3,6,6,8,3,3,9,3,3,3,9,
12,6,6,18,6,6,18,6,6,6,6,18,6,6,12,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,36,12,36,36,12,12,12,36,12,12,12,
12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,72,72,72,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
144,1,3,3,2,2,2,2,2,3,3,3,3,3,3,3,3,4,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,1,1,2,2,3,3,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,1,2,3,3,6,6,6,6,6,6,6,12,1],[1,21,42,4,12,7,14,21,63,
6,6,126,168,12,12,252,12,16,24,24,24,24,48,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,
6,6,6,126,8,168,168,168,8,12,12,12,12,24,24,24,504,24,24,24,24,24,24,24,48,48,
48,7,14,21,3,3,3,63,3,4,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,252,12,24,24,48,48,48,48,21,1,42,2,2,3,3,
3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,1,1,
3,3,3,6,6,6,6,6,6,6,6,1,3,3,1],[1,21,42,4,12,7,14,21,63,6,6,126,168,12,12,252,
12,24,24,24,24,16,16,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,6,6,6,126,8,168,168,
168,8,12,12,12,12,24,24,24,8,504,24,8,24,24,24,24,48,48,16,16,16,7,14,21,3,3,
3,63,3,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,4,4,12,12,4,12,4,12,12,12,12,12,12,
12,12,12,12,4,252,12,4,8,8,8,48,48,16,16,48,48,21,1,42,2,2,3,3,3,3,3,2,6,6,6,
6,6,6,6,6,2,4,12,4,4,12,12,4,4,4,12,4,12,12,4,4,12,12,24,8,8,1,1,3,3,1,2,2,6,
6,6,2,2,2,6,4,4,4,4,1,1,1,2,2,1],[1,13,18,4,28,16,3,2,9,15,14,6,42,24,12,8,28,
8,60,20,32,40,16,40,16,24,24,32,16,16,1,1,6,6,9,15,7,8,6,4,6,10,4,6,2,6,10,2,
10,6,6,16,8,8,8,24,32,8,4,8,4,8,8,8,4,8,4,12,12,4,8,4,32,8,32,24,8,48,32,8,40,
16,16,24,16,8,24,16,40,16,8,16,24,16,32,16,32,16,32,16,16,16,1,2,3,2,2,2,3,5,
2,1,2,3,3,10,2,4,4,4,8,6,6,4,12,6,2,2,2,2,2,2,4,4,6,4,2,2,2,2,2,2,6,4,2,4,8,4,
4,8,4,4,4,4,4,4,8,12,8,4,12,4,8,8,4,12,4,8,12,8,8,4,8,4,4,4,4,8,4,4,4,4,4,16,
4,12,4,8,4,32,8,32,24,24,8,16,16,8,8,8,16,16,16,16,32,16,16,16,16,32,16,16,16,
16,1,1,2,2,2,2,3,1,2,1,1,1,4,2,4,4,2,2,4,2,4,2,2,2,2,4,6,2,4,2,4,6,2,2,2,2,2,
2,4,2,2,8,2,2,4,4,8,8,12,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,16,1,1,2,1,1,2,1,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,
2,4,1],[1,13,8,18,12,20,24,3,2,9,15,12,28,16,10,18,42,24,20,12,20,12,60,12,16,
24,8,24,24,40,40,48,48,48,16,48,48,1,3,6,6,14,9,15,5,12,12,4,10,6,10,6,6,2,6,
18,10,6,6,6,2,6,8,8,8,8,24,32,8,4,12,12,12,12,12,20,12,12,12,36,12,12,12,12,
12,12,12,12,20,12,12,12,20,16,24,8,24,24,48,16,24,24,24,24,24,24,24,16,40,24,
8,40,8,8,8,24,24,24,8,24,24,32,32,16,32,32,48,16,16,16,48,16,16,16,16,32,32,1,
1,1,3,1,3,2,3,1,3,3,3,5,3,3,5,4,4,4,4,4,6,6,6,6,2,2,4,6,2,2,2,6,18,6,6,12,2,6,
4,10,6,6,18,6,6,2,6,6,10,6,6,6,6,2,6,6,6,6,8,8,4,4,12,4,4,4,4,4,12,8,12,4,4,4,
12,12,4,12,12,12,12,4,12,4,12,4,8,4,12,12,4,4,4,8,4,4,4,8,12,4,4,4,12,12,20,4,
12,12,12,4,4,4,4,12,20,12,12,12,8,12,4,4,12,4,12,12,12,8,12,12,8,24,24,8,8,24,
24,8,24,8,24,24,24,8,24,8,24,24,24,24,24,24,24,24,8,24,24,24,24,8,24,24,8,8,
24,24,24,24,24,8,24,24,24,24,24,24,24,24,16,16,16,16,16,32,16,32,16,16,1,1,3,
2,2,2,3,3,1,1,1,1,5,3,1,1,3,3,4,4,4,6,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,2,2,6,
2,4,2,2,2,4,6,6,2,2,2,2,2,6,2,6,2,2,2,2,6,6,8,4,4,4,4,4,4,4,4,12,4,8,4,12,4,4,
4,4,4,12,4,4,8,12,12,4,8,12,12,4,4,8,4,4,12,12,12,4,12,4,4,12,12,4,12,4,4,4,4,
4,4,12,4,4,4,4,12,12,12,12,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,8,4,12,12,4,4,
4,4,4,4,4,4,4,4,8,8,24,8,8,8,8,24,24,8,24,24,24,8,24,24,24,24,24,24,1,1,1,1,3,
1,1,3,1,1,1,1,1,1,1,4,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,8,8,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,21,8,42,4,12,8,7,14,21,63,28,28,6,6,126,168,
12,4,12,4,252,12,24,8,24,8,24,24,16,16,16,16,3,1,42,42,14,48,63,63,3,28,6,2,6,
6,2,6,6,42,6,6,6,6,6,126,8,168,168,168,8,4,4,4,4,4,4,4,4,84,4,12,4,12,4,4,12,
4,12,24,24,24,8,504,24,8,8,8,24,8,24,8,8,24,8,8,24,8,16,48,48,16,16,16,16,16,
16,16,32,1,7,14,7,21,1,3,3,3,1,63,3,2,6,42,2,2,6,2,2,6,6,42,6,2,126,6,2,2,42,
2,6,2,2,6,6,6,6,6,2,42,2,168,4,4,4,12,4,4,4,12,4,4,12,4,4,4,12,4,4,12,4,12,4,
4,12,4,4,12,4,12,4,4,12,12,12,12,12,4,4,4,252,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,16,16,48,48,16,48,48,16,16,16,21,1,7,42,2,2,14,1,3,3,1,3,3,3,21,2,
42,2,6,2,2,2,6,2,2,6,6,2,2,2,6,6,2,2,2,6,6,2,2,2,2,2,2,2,2,4,4,12,4,4,4,4,12,
4,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,12,4,4,12,8,
24,8,8,8,8,8,16,1,7,7,1,3,1,1,1,3,1,1,2,6,6,2,2,6,2,2,2,2,2,2,2,2,6,2,4,4,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,18,4,12,16,3,2,9,15,16,6,6,42,24,
20,8,12,8,60,20,24,16,24,16,24,24,32,16,16,16,1,1,6,6,9,15,3,6,4,6,10,4,10,10,
24,10,6,10,6,10,6,8,8,24,32,8,4,8,4,8,8,8,4,8,4,4,4,4,4,8,8,24,8,48,8,8,16,24,
16,8,8,8,16,24,16,8,16,24,16,16,16,80,16,32,16,16,16,1,4,3,2,5,3,5,2,3,3,4,12,
4,4,4,4,2,2,4,4,12,4,4,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,12,2,4,8,4,4,8,8,4,4,4,
4,4,12,8,4,12,4,8,4,4,4,8,4,8,8,8,4,20,4,4,4,8,4,4,20,4,20,4,4,4,4,12,4,4,4,8,
8,16,16,8,8,16,16,16,16,16,16,16,16,16,16,1,1,2,1,5,2,1,1,1,6,2,4,2,4,2,4,2,2,
4,4,2,4,2,4,2,2,2,2,2,2,4,8,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,8,8,4,4,4,8,4,4,4,8,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,2,1,2,2,1,1,1,2,2,4,2,2,2,2,2,2,4,4,4,4,
4,4,4,2,1,1,1,2,1],[1,13,8,18,4,28,8,3,2,9,15,12,28,14,6,42,24,12,4,28,4,60,
20,32,40,24,40,8,24,24,16,16,16,16,1,1,6,6,14,9,15,7,12,8,6,2,6,10,2,6,2,18,6,
10,2,10,6,6,16,8,8,8,24,32,8,12,4,4,4,4,4,4,4,36,4,12,4,12,4,4,4,4,8,4,32,8,
32,24,8,48,32,8,8,40,16,24,24,8,24,8,8,40,8,8,24,8,32,32,16,16,16,16,48,16,32,
1,1,3,2,3,2,2,1,3,5,2,1,1,3,3,10,2,2,6,6,6,2,6,8,6,6,18,4,2,12,6,2,2,4,2,4,18,
2,6,2,2,2,2,2,2,6,2,6,4,2,4,12,4,4,12,4,4,4,8,12,4,4,12,4,4,8,4,12,4,4,4,12,4,
8,4,12,8,4,4,4,4,4,8,12,4,4,4,4,4,16,4,4,4,12,8,4,32,8,8,8,8,8,32,24,8,8,24,8,
8,8,8,8,8,8,8,8,16,32,16,16,32,16,16,16,1,1,3,2,2,2,1,2,3,1,3,1,1,1,3,4,4,2,2,
6,2,6,2,6,2,2,4,6,2,2,4,6,2,2,2,6,2,2,2,2,2,4,6,2,2,2,8,2,2,2,2,2,2,4,4,8,4,8,
12,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,
4,4,4,4,4,4,8,4,4,4,4,4,4,8,8,8,8,8,1,1,3,1,1,3,1,2,1,1,1,1,4,4,2,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
13,18,4,12,3,2,9,15,16,6,6,42,24,4,12,60,4,24,24,24,24,16,16,32,16,1,1,6,6,9,
15,3,6,6,2,2,2,24,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,8,8,24,8,48,16,8,8,24,8,8,
24,24,16,32,16,16,16,16,1,4,3,1,3,1,3,3,12,2,2,12,2,2,2,2,2,2,12,4,4,4,12,8,
12,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,12,4,4,8,16,16,8,16,16,16,16,16,16,1,1,1,
1,1,1,1,6,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,1,1,2,1,1,1,2,2,2,2,2,2,
1,1,1,1],[1,13,18,4,12,16,3,2,9,15,6,6,42,24,4,8,12,8,60,4,24,24,16,24,24,32,
32,48,16,16,1,1,6,6,9,15,3,6,4,6,2,4,2,2,2,6,2,6,2,6,8,8,24,32,8,8,8,4,8,8,4,
4,4,4,4,4,4,8,8,24,48,16,8,8,8,8,8,8,8,24,8,24,16,24,16,24,16,16,32,16,16,16,
48,16,32,32,1,3,2,1,3,1,2,3,3,2,2,2,2,12,2,2,4,2,2,2,2,2,2,4,4,4,12,4,4,12,8,
8,4,12,4,12,4,8,8,4,4,4,4,4,4,4,4,8,4,4,4,4,12,4,12,4,8,8,16,16,16,8,16,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,1,1,2,1,1,1,1,1,2,2,2,2,6,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,8,8,8,8,8,8,8,8,
8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,4,1],[1,13,8,18,4,12,8,3,2,9,
15,12,28,6,6,42,24,20,4,12,4,60,20,24,8,24,8,24,24,16,16,16,32,1,1,6,6,14,9,
15,3,12,6,2,6,10,2,10,10,18,10,6,10,6,10,6,8,8,24,32,8,4,4,4,4,4,4,4,4,36,4,4,
4,4,4,4,4,4,4,8,8,24,8,48,8,8,8,8,24,8,8,16,8,24,8,8,24,8,16,80,16,16,16,32,
16,16,1,1,3,3,1,5,3,5,1,3,3,2,4,6,2,2,4,2,2,2,2,18,4,4,2,12,4,4,2,2,4,2,18,2,
4,2,2,2,2,2,2,2,2,6,2,4,4,4,8,4,8,4,12,4,4,12,4,4,8,4,4,4,4,4,8,8,4,4,20,4,4,
4,8,4,4,4,4,20,4,20,4,4,4,8,4,12,4,4,16,8,16,8,8,8,8,8,8,8,8,8,8,8,16,16,16,
16,16,16,1,1,3,2,1,1,5,1,1,1,1,3,2,6,2,2,2,2,4,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
4,4,2,2,8,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,8,1,2,1,2,1,1,1,1,2,2,1,2,4,2,2,2,2,4,2,4,4,4,4,4,4,1,2,1,1,2,1],[
1,13,18,12,20,3,2,9,15,16,10,18,42,24,20,20,60,12,16,24,24,40,40,32,1,3,6,6,9,
15,5,12,4,10,10,6,2,6,10,6,6,6,2,6,8,8,8,8,24,32,8,20,12,12,20,12,20,16,24,8,
24,48,16,16,40,40,8,16,24,24,32,32,16,32,1,1,1,3,2,1,3,3,3,5,3,5,4,6,4,2,2,6,
12,2,4,10,6,2,10,6,6,6,2,6,4,8,8,4,12,12,12,8,8,4,4,8,8,4,12,12,20,4,4,4,4,20,
8,8,12,8,8,24,16,16,24,8,8,8,8,16,32,16,32,1,1,2,2,3,1,1,1,5,3,1,1,3,4,2,2,6,
2,2,2,2,2,2,2,4,2,4,2,6,2,4,2,4,4,4,4,8,4,4,4,8,12,8,4,8,4,4,4,4,8,4,4,4,4,8,
4,4,4,4,8,8,8,1,1,1,1,1,2,1,1,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[
1,13,18,4,12,16,3,2,9,15,6,6,42,24,20,8,12,8,60,20,24,24,16,24,24,32,16,16,16,
1,1,6,6,9,15,3,6,4,6,10,4,10,10,10,6,10,6,10,6,8,8,24,32,8,8,8,4,8,8,4,4,4,4,
4,4,4,8,8,24,48,8,8,8,8,8,8,8,24,8,8,16,24,16,24,16,16,80,16,16,16,16,16,32,
32,1,3,2,5,3,5,2,3,3,4,2,4,2,2,4,4,2,12,4,4,2,4,2,4,4,2,2,2,2,2,2,4,4,4,8,4,4,
4,12,8,4,12,4,4,4,8,4,8,8,4,20,4,8,4,20,4,20,4,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,1,1,2,1,5,1,1,1,2,2,4,4,2,4,
2,2,4,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,8,
8,8,8,8,8,8,8,8,8,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,8,8,8,8,1,1,1,4,1],[1,13,18,4,
12,32,3,2,9,15,6,6,42,24,4,16,12,16,60,4,16,24,16,24,32,24,24,16,64,16,16,16,
16,16,1,1,6,6,9,15,3,6,8,6,2,8,2,2,2,6,2,6,2,6,8,8,24,32,8,4,8,4,16,16,4,16,4,
16,4,4,4,4,4,4,4,4,8,8,24,8,48,8,8,8,24,8,8,8,8,8,8,16,24,16,8,8,8,32,24,32,8,
16,24,16,16,16,16,16,16,16,16,32,16,16,16,16,16,32,32,32,32,1,3,4,1,3,1,4,3,3,
4,2,4,4,4,2,2,2,12,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,8,8,4,4,4,4,8,4,4,4,4,12,
4,4,4,12,4,16,4,4,12,4,4,8,4,4,4,16,4,4,8,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,8,8,8,
8,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,1,1,4,1,1,2,1,1,1,2,2,4,2,4,2,4,
2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,13,18,4,28,3,
2,9,15,14,6,42,24,28,28,60,36,16,32,40,40,24,24,16,1,1,6,6,9,15,7,8,6,6,18,14,
10,14,10,10,10,14,6,16,8,8,8,24,32,8,12,12,4,8,4,32,8,32,24,48,8,32,24,40,16,
24,24,40,24,32,16,96,1,2,3,2,2,7,5,2,5,3,3,4,10,6,4,8,6,6,8,4,12,4,4,6,2,4,4,
4,10,2,2,2,2,6,4,12,4,12,8,12,4,12,8,12,4,4,12,16,8,24,4,8,4,8,12,20,4,20,4,4,
16,12,8,32,8,8,32,24,24,32,16,32,16,1,1,2,2,2,3,5,1,1,1,4,4,2,2,2,4,4,4,6,4,6,
2,2,6,6,4,2,8,2,4,2,8,8,8,12,4,8,8,8,4,4,4,4,4,4,4,4,4,8,8,4,4,8,4,12,4,4,8,4,
8,8,8,8,8,1,1,2,2,1,1,2,1,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,2,1,1,2,1],[1,13,
18,20,44,3,2,9,4,15,12,16,22,30,42,24,24,36,36,28,44,60,20,16,16,72,72,72,72,
88,88,16,1,5,6,6,9,15,11,12,4,22,22,10,6,10,14,18,10,18,6,6,8,24,24,24,8,8,24,
32,24,36,36,20,20,36,20,36,28,12,28,48,16,32,40,72,8,72,72,48,8,32,24,72,72,
16,40,88,24,72,72,72,72,64,16,64,144,16,144,48,16,32,1,1,1,3,6,2,6,8,3,9,3,5,
5,3,11,4,12,4,6,18,18,4,2,6,10,6,12,6,6,6,4,10,6,6,2,14,10,10,10,6,6,24,4,8,
12,36,4,36,36,4,36,12,8,12,36,4,12,8,12,16,12,12,20,12,20,12,12,12,12,4,12,20,
16,12,16,8,24,8,8,8,24,24,8,8,8,8,72,72,72,24,24,24,16,48,64,16,16,48,64,16,
144,1,3,2,2,2,2,3,1,3,3,5,3,3,3,5,4,4,2,18,6,2,18,6,2,2,6,2,2,2,2,6,6,2,4,6,6,
2,4,6,2,6,6,2,6,2,2,24,4,4,12,4,12,4,12,12,8,4,12,4,4,4,16,12,8,4,8,4,4,4,12,
4,12,12,4,4,4,4,4,12,4,8,4,12,4,8,8,24,8,24,8,8,16,1,1,1,1,1,1,1,3,1,1,3,2,6,
6,6,6,2,6,2,2,2,2,4,2,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,13,18,12,52,3,2,9,4,15,12,26,18,42,24,24,36,36,20,52,60,28,32,88,88,72,72,
72,72,32,1,3,6,6,9,15,13,8,18,18,14,10,6,10,22,6,22,10,6,16,24,24,8,24,8,24,
32,24,36,36,20,36,20,36,12,8,12,48,48,24,72,32,72,72,48,16,48,72,72,40,16,72,
40,88,72,72,72,64,32,64,144,32,144,32,64,1,2,3,2,6,6,2,8,5,11,2,3,3,9,12,10,2,
18,18,8,10,10,4,6,12,6,6,10,2,4,6,4,6,6,6,6,6,10,4,24,4,4,36,8,36,36,8,36,8,
12,12,36,8,20,8,12,16,12,12,12,8,12,12,12,8,12,24,12,16,32,16,16,16,16,16,16,
32,24,72,72,72,24,32,64,48,32,32,64,48,32,144,1,3,2,2,2,2,2,5,3,3,3,3,4,4,18,
6,18,2,2,2,6,4,6,4,6,6,6,2,2,6,6,2,4,2,6,8,2,6,4,24,8,8,8,16,12,4,12,8,12,8,4,
4,4,4,12,4,4,4,4,4,12,8,12,4,4,4,8,12,8,8,12,16,8,16,8,24,16,8,16,32,1,1,2,1,
2,3,3,2,6,6,2,6,4,2,4,2,2,2,4,2,6,4,4,4,4,4,4,4,8,4,8,4,1,1,1,2,2,2,2,4,1],[1,
13,18,12,20,3,2,9,15,16,10,18,42,24,36,20,60,28,16,24,24,40,40,32,1,3,6,6,9,
15,5,12,4,10,10,14,10,14,18,6,14,6,10,6,8,8,8,8,24,32,8,20,12,12,20,12,20,16,
24,8,24,48,16,16,16,40,40,8,24,24,32,32,96,1,1,1,3,2,5,3,3,7,5,3,5,4,10,8,2,2,
6,4,4,12,4,4,2,4,10,4,6,6,10,6,6,6,2,6,12,8,4,12,8,12,12,8,4,8,4,16,8,24,4,8,
12,12,20,20,4,20,8,4,20,8,12,8,8,24,16,16,24,8,16,32,16,32,1,1,2,2,3,1,1,5,5,
3,1,1,3,4,2,2,6,2,2,4,4,2,2,2,2,2,4,6,4,2,6,2,4,2,4,8,4,4,8,8,8,4,4,4,8,12,8,
4,4,8,4,4,8,4,8,4,8,4,8,8,4,4,12,8,8,8,8,1,1,2,2,2,1,1,1,1,1,2,2,4,2,2,2,4,2,
4,2,4,4,4,4,4,2,1,1,1,2,1],[1,21,42,4,12,16,7,14,21,63,6,6,126,168,12,8,12,8,
252,12,24,16,24,16,24,24,32,16,16,32,3,1,42,42,48,63,63,3,6,4,6,6,4,6,6,6,6,6,
6,6,126,8,168,168,168,8,4,8,4,8,8,8,4,8,4,12,12,12,12,24,24,24,8,504,24,8,16,
24,16,8,24,16,16,24,16,8,16,24,16,32,48,16,48,16,32,32,16,32,16,64,7,14,21,2,
3,3,3,2,63,3,6,4,4,6,4,6,6,6,126,6,2,2,2,2,2,6,4,6,6,2,2,6,6,6,2,4,168,8,4,4,
8,12,4,4,8,4,4,12,8,4,12,4,8,4,8,12,8,12,8,12,4,12,4,4,12,12,4,12,12,12,12,12,
8,4,252,4,12,4,16,16,16,16,16,16,16,8,8,16,16,32,16,16,48,16,48,32,48,48,32,
16,16,32,21,1,42,2,2,2,3,3,2,3,3,3,2,4,2,4,2,6,4,2,2,6,2,4,2,6,6,6,6,2,6,2,2,
6,2,2,4,4,12,4,4,8,8,12,4,12,4,4,4,4,8,4,12,4,8,4,8,12,4,4,12,4,4,4,4,4,4,4,4,
4,8,4,4,4,12,4,12,16,8,24,8,16,16,8,16,8,32,1,1,3,2,1,3,2,6,6,2,4,6,2,2,2,2,4,
2,6,2,4,4,4,4,4,4,8,4,4,4,8,4,1,1,2,1,2,2,2,4,1],[1,13,18,4,12,3,2,9,15,16,6,
6,42,24,4,12,60,4,16,24,24,24,24,16,16,1,1,6,6,9,15,3,6,6,2,2,2,24,2,6,2,6,2,
6,8,8,24,32,8,4,4,4,4,8,8,24,48,8,8,24,24,8,8,24,24,16,16,16,16,16,1,4,3,1,3,
1,3,3,4,12,2,2,12,2,2,2,2,2,2,12,4,12,12,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,
12,4,8,8,8,8,8,8,8,16,16,16,16,1,1,1,1,1,1,1,6,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,13,18,12,20,16,3,2,9,15,16,
10,18,42,24,20,8,20,8,60,12,16,24,16,24,16,40,40,16,16,32,16,16,1,3,6,6,9,15,
5,12,4,10,4,10,6,4,2,6,10,6,6,6,2,6,8,8,8,8,24,32,8,4,8,4,8,8,20,8,4,8,4,12,
12,20,12,20,16,24,8,24,8,8,48,16,8,8,16,40,16,40,16,8,8,16,24,16,8,16,24,16,
32,16,32,16,16,32,16,16,16,32,32,1,1,1,3,2,2,1,3,3,3,5,2,3,5,4,6,4,4,4,4,2,2,
6,12,2,2,2,2,2,4,2,10,6,2,4,10,6,2,2,6,6,2,6,2,4,8,4,4,8,4,4,4,4,4,8,4,4,4,12,
8,4,12,4,4,8,12,4,8,4,4,8,4,8,8,4,8,4,4,4,12,12,20,4,4,4,4,4,20,8,4,4,12,4,8,
4,4,8,24,8,24,8,8,8,8,8,8,16,16,8,8,8,8,16,16,16,16,16,32,16,16,16,32,16,16,1,
1,2,2,3,2,1,1,1,2,5,3,1,1,3,4,2,2,4,2,2,6,2,2,4,2,4,2,2,2,2,2,2,4,2,2,2,2,4,2,
4,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,12,4,8,4,4,8,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,
8,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,8,18,4,12,8,3,2,9,15,12,28,6,
6,42,24,4,4,12,4,60,4,24,8,24,8,24,24,32,16,16,16,1,1,6,6,14,9,15,3,12,6,2,6,
2,2,2,2,18,2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,4,4,4,4,36,4,4,4,4,4,4,4,4,4,8,8,
24,8,48,16,8,8,8,8,24,8,8,8,24,8,8,24,8,16,32,16,16,16,16,16,16,16,1,1,3,3,1,
1,3,1,1,3,3,2,6,2,2,2,2,2,2,18,2,12,2,2,2,18,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,
12,8,4,4,12,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,12,4,4,16,16,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,3,2,1,1,1,1,1,1,1,3,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,8,8,8,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,1,1,1,2,2,1],[1,13,18,4,12,3,2,9,15,6,6,42,24,20,12,60,20,24,16,24,
24,24,16,16,16,1,1,6,6,9,15,3,6,6,10,10,10,10,6,10,6,10,6,8,8,24,32,8,8,4,4,4,
4,8,8,24,8,48,8,8,16,24,8,8,24,24,16,80,16,16,16,1,3,5,3,5,3,3,4,4,4,4,4,2,2,
4,4,12,4,4,2,4,4,2,2,2,2,2,8,4,4,4,12,12,4,4,4,4,4,8,8,20,4,8,4,20,4,20,4,4,4,
4,12,4,4,16,16,16,16,16,16,16,16,1,1,1,5,2,1,1,1,2,4,4,4,2,4,2,8,4,4,8,4,4,4,
4,4,8,4,4,8,4,4,4,8,8,8,8,2,1,2,1,1,1,1,2,2,2,2,2,1,1,1,1],[1,13,18,12,20,3,2,
9,15,16,16,10,18,42,24,20,20,60,12,16,24,16,24,40,40,32,1,3,6,6,9,15,5,12,4,
10,10,6,2,6,24,10,6,6,6,2,6,8,8,8,8,24,32,8,8,20,12,12,20,12,20,16,24,8,24,48,
16,16,40,16,40,8,16,24,24,32,32,32,32,32,1,1,4,1,3,2,1,3,3,3,5,3,5,4,6,12,4,4,
4,4,2,2,6,12,2,4,10,6,2,10,6,6,6,2,12,6,8,4,8,8,8,8,4,12,8,12,8,12,8,8,4,4,8,
8,8,8,4,12,12,20,4,4,4,4,20,8,8,8,12,8,8,24,8,8,24,8,16,32,16,16,32,16,1,1,2,
2,3,1,1,1,2,5,3,1,1,3,6,4,2,2,6,2,4,2,2,2,2,2,2,4,4,2,4,2,6,2,4,4,4,2,4,4,4,8,
4,4,4,8,12,8,4,8,4,8,8,4,8,4,8,4,4,8,4,8,8,4,4,4,16,8,8,8,1,1,1,1,1,1,2,1,2,1,
1,1,1,2,4,2,2,2,4,2,4,4,2,4,2,2,2,2,4,4,4,8,2,1,1,1,2,2,2,2,2,1],[1,13,18,12,
36,16,3,2,9,4,15,12,18,18,42,24,24,36,36,12,8,36,8,60,12,72,72,16,72,72,72,72,
16,16,32,16,16,16,1,3,6,6,9,15,9,18,4,18,6,4,6,6,6,18,6,18,6,6,24,24,24,8,24,
32,24,36,36,8,8,4,8,8,4,12,36,12,4,36,12,4,12,48,24,24,72,72,8,72,48,24,8,8,8,
8,72,72,8,8,8,72,24,8,16,72,16,72,72,72,16,16,48,48,16,16,144,16,16,16,16,16,
144,16,16,32,32,32,32,1,3,6,6,8,2,3,9,3,2,3,9,12,2,18,18,6,6,6,2,12,6,6,6,6,2,
4,6,6,6,2,6,6,4,24,4,4,4,4,4,36,4,4,36,36,8,4,36,4,4,4,12,36,4,8,12,12,4,12,
12,12,12,12,12,12,12,4,12,4,4,4,4,12,12,4,8,8,8,8,8,8,8,8,8,8,72,8,72,8,72,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,48,16,16,16,48,16,16,48,48,16,
16,144,1,3,2,2,2,3,3,3,3,3,2,18,6,2,18,2,6,2,6,6,6,6,6,2,2,6,2,24,4,4,4,12,12,
4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,4,
4,4,4,12,4,8,8,8,8,8,24,8,8,8,8,8,8,8,16,16,16,16,1,1,1,3,1,1,3,2,2,6,2,6,2,6,
2,2,2,2,2,2,2,2,2,2,2,2,6,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,13,18,12,36,
3,2,9,4,15,12,18,18,42,24,24,36,36,12,36,60,12,72,16,72,72,72,72,72,16,1,3,6,
6,9,15,9,18,18,6,6,6,6,18,6,18,6,6,24,24,24,8,24,32,24,36,8,36,12,36,12,36,12,
12,48,24,24,72,72,72,48,24,72,72,16,72,24,8,72,72,72,72,48,48,144,16,16,144,1,
3,6,6,8,3,9,3,3,9,12,18,4,4,18,4,6,6,6,12,6,6,6,6,6,6,6,6,6,24,4,36,36,36,36,
4,12,36,12,12,12,12,12,12,12,12,12,12,12,4,12,12,8,72,72,72,8,8,48,48,16,48,
48,16,144,1,3,2,2,3,3,2,3,3,3,18,6,18,6,6,6,6,6,6,2,6,24,4,12,4,12,12,4,12,4,
4,4,12,12,4,12,4,4,12,24,8,8,1,1,3,1,3,2,6,2,6,6,2,2,2,6,4,4,4,4,1,1,1,2,2,
1],[1,13,18,4,12,16,3,2,9,15,6,6,42,24,4,8,12,8,60,4,24,32,24,16,24,24,32,32,
16,16,16,1,1,6,6,9,15,3,6,4,6,2,4,2,2,2,6,2,6,2,6,8,8,24,32,8,4,16,4,8,8,8,4,
8,4,4,4,4,4,8,8,24,8,48,16,8,8,32,24,16,8,8,8,16,24,16,8,16,24,16,16,16,32,16,
16,32,16,16,16,1,3,2,1,3,1,2,3,3,8,8,8,2,2,12,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,
8,4,4,8,4,4,4,4,4,12,8,8,4,12,4,8,4,4,4,8,8,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
12,4,4,4,16,16,16,16,8,8,16,16,16,16,16,16,16,16,16,16,16,16,1,1,2,1,1,4,1,1,
1,2,4,2,4,2,4,2,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,1,1,1,2,2,1],[1,13,8,18,4,12,8,3,2,9,15,12,28,6,6,42,24,4,4,12,4,60,
4,16,24,8,24,8,24,24,16,16,16,16,16,16,1,1,6,6,14,9,15,3,12,6,2,6,2,2,2,2,18,
2,6,2,6,2,6,8,8,24,32,8,4,4,4,4,4,4,4,4,36,4,4,4,4,4,4,4,4,4,8,8,24,8,8,48,8,
8,24,8,8,8,8,24,8,8,8,24,8,8,24,8,16,16,16,16,16,16,16,16,16,16,32,32,1,1,3,3,
1,1,3,1,1,3,3,4,2,6,2,2,2,2,2,2,18,2,12,2,2,2,18,2,2,2,2,2,2,2,2,2,6,2,4,4,4,
4,4,4,4,12,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,
16,16,1,1,3,2,1,1,1,1,1,1,1,3,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,13,18,4,28,16,3,2,9,15,16,14,6,42,24,
12,8,28,8,60,20,32,40,40,16,24,24,32,32,16,16,1,1,6,6,9,15,7,8,6,4,6,10,4,6,2,
24,6,10,2,10,6,6,16,8,8,8,24,32,8,8,8,4,8,8,4,12,12,4,4,8,4,4,32,8,32,24,48,
32,8,8,8,8,8,40,16,8,24,24,16,16,40,16,24,16,32,32,16,16,32,16,32,64,32,1,4,2,
3,2,2,2,3,5,2,1,2,3,3,10,2,2,12,8,6,6,4,2,12,6,2,4,4,2,6,4,2,2,2,2,2,6,12,4,4,
4,4,4,8,4,4,4,8,12,8,4,12,4,8,8,12,4,8,8,12,8,4,8,8,4,8,4,8,4,4,4,4,4,16,4,8,
4,8,12,8,32,16,16,8,8,8,8,8,8,16,32,24,8,8,8,24,16,8,8,8,8,8,8,8,16,16,16,32,
16,32,16,16,1,1,2,2,2,2,3,1,1,1,1,6,4,2,4,2,2,2,2,4,6,4,2,4,6,2,2,2,4,4,2,4,4,
8,2,2,4,8,4,8,8,12,4,8,4,4,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,8,4,4,4,8,4,4,4,8,4,4,8,8,8,8,8,8,16,16,8,1,1,1,1,2,1,1,2,1,2,2,2,
2,4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,8,4,4,4,4,8,8,8,1,1,2,1,2,2,2,2,2,1],[1,
21,42,4,12,16,7,14,21,63,6,6,126,168,12,8,12,8,252,12,24,16,24,16,24,24,32,32,
16,16,3,1,42,42,48,63,63,3,6,4,6,6,4,6,6,6,6,6,6,6,126,8,168,168,168,8,8,8,8,
4,8,8,4,12,12,4,12,4,12,24,24,24,504,24,8,8,8,8,8,8,16,24,16,24,16,16,24,16,
16,24,32,48,48,16,32,16,32,32,32,64,7,14,21,2,3,3,3,2,63,3,6,2,4,4,6,4,6,6,6,
2,126,6,2,6,4,6,6,6,2,6,6,4,168,8,4,4,8,12,8,4,4,12,8,4,12,4,8,8,12,8,12,8,12,
4,12,12,12,12,12,12,12,4,12,4,8,4,252,12,8,8,16,8,16,16,16,8,8,8,8,8,8,8,8,16,
16,16,16,8,8,8,16,32,16,48,48,32,48,48,32,32,21,1,42,2,2,2,3,3,2,3,3,3,2,4,4,
6,4,2,6,4,2,6,6,6,6,6,6,2,4,4,4,12,4,4,4,4,8,8,4,4,12,12,4,4,4,8,4,4,12,4,4,4,
4,8,4,4,4,8,12,4,12,4,4,4,4,4,8,12,12,16,8,8,8,8,24,16,8,16,8,16,32,1,3,1,2,1,
3,1,1,2,2,2,6,6,2,2,4,6,2,2,2,2,2,4,2,6,4,4,8,4,4,8,8,8,1,1,2,1,2,2,2,2,2,1],[
1,13,18,4,28,3,2,9,15,14,6,42,24,12,28,60,20,32,40,40,24,24,16,16,32,1,1,6,6,
9,15,7,8,6,6,10,6,2,6,10,2,10,6,6,16,8,8,8,24,32,8,12,12,4,8,4,32,8,32,24,8,
48,32,8,40,16,24,24,16,40,24,32,32,16,16,32,1,2,3,2,2,3,5,2,1,3,3,10,2,8,6,6,
4,12,6,2,4,4,6,2,2,2,2,6,4,4,4,8,4,4,8,12,12,4,8,8,12,4,4,12,8,8,4,4,8,4,4,4,
4,16,8,4,12,8,4,32,16,16,32,24,24,32,16,16,16,32,16,1,1,2,2,2,3,1,1,1,1,4,4,2,
2,2,2,4,6,4,6,2,2,2,4,2,8,2,4,2,8,8,12,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,
4,4,8,4,4,8,8,8,1,1,1,2,1,1,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[
1,13,18,4,12,3,2,9,15,6,6,42,24,4,12,60,4,16,24,16,24,24,24,16,48,1,1,6,6,9,
15,3,6,6,2,2,2,2,6,2,6,2,6,8,8,24,32,8,8,4,4,4,4,8,8,24,48,8,8,24,16,24,8,24,
24,24,16,16,16,48,1,3,1,3,1,3,3,4,4,4,4,2,2,12,2,2,2,2,2,2,12,12,12,4,12,12,4,
4,4,4,4,4,12,4,4,4,4,4,4,12,12,4,16,8,8,16,16,16,16,16,16,16,1,1,1,1,2,1,1,1,
6,6,2,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,
9,8,6,4,36,8,1,7,3,4,28,4,14,2,12,8,8,4,4,4,28,4,12,16,32,32,32,40,8,24,16,16,
8,16,16,16,1,14,3,3,6,4,8,2,2,6,2,6,6,8,2,6,8,16,8,8,4,4,16,4,4,4,12,8,4,4,4,
4,4,4,8,32,4,12,24,4,8,8,12,8,24,4,4,16,24,24,4,4,4,4,28,8,4,4,8,8,8,8,8,8,16,
16,8,16,8,8,8,8,64,16,24,8,8,16,16,32,1,1,2,1,2,1,3,3,6,1,6,8,2,2,6,6,6,2,1,6,
1,2,3,2,3,3,2,6,2,2,2,8,2,1,2,12,4,4,2,4,4,16,2,2,4,4,2,2,2,2,4,2,6,2,12,2,4,
2,12,2,2,2,16,2,2,2,12,2,2,2,2,24,4,4,8,4,8,8,24,24,8,4,8,24,8,4,4,4,8,4,8,8,
8,8,8,8,16,16,8,8,8,8,8,8,8,8,8,1,1,3,3,2,4,1,1,1,1,6,2,2,6,1,1,2,1,6,2,1,6,3,
2,8,1,6,2,1,2,2,2,2,2,2,2,2,2,12,2,2,2,4,2,6,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
4,2,2,2,12,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,8,8,1,1,3,3,4,4,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,4,6,12,44,20,3,2,3,4,9,6,6,12,22,
18,18,24,36,36,4,10,44,10,8,16,72,12,72,12,72,72,72,72,8,8,16,8,24,40,24,24,8,
24,8,3,6,1,9,11,6,4,18,3,18,4,3,3,2,18,18,8,24,24,24,24,6,36,6,36,6,6,6,6,2,2,
10,10,6,2,6,10,6,2,4,36,10,4,10,6,36,6,6,4,6,48,8,8,8,72,8,72,4,72,4,8,8,12,4,
4,4,4,72,72,4,4,4,4,16,8,12,72,12,4,72,4,12,12,72,72,72,4,16,8,24,8,16,8,24,8,
24,144,8,24,8,8,8,24,16,144,24,8,8,24,16,24,24,24,16,16,16,16,32,16,16,1,1,6,
6,8,9,1,9,2,12,2,4,3,18,3,18,2,2,3,3,3,3,2,3,2,3,1,2,3,3,1,3,3,24,6,2,2,6,6,2,
6,2,6,2,6,36,36,36,4,6,6,2,36,6,2,4,6,4,36,2,2,4,6,6,4,2,6,6,6,6,6,6,6,4,6,10,
4,2,2,2,4,2,6,2,2,6,2,6,2,6,4,8,4,4,8,8,4,4,12,12,8,4,4,12,4,8,8,4,4,4,4,4,4,
4,8,8,4,12,72,4,72,4,72,4,4,4,4,4,4,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,12,12,4,
4,4,4,4,4,8,8,16,24,8,24,8,8,8,8,24,8,8,16,8,16,8,24,24,24,16,24,8,24,144,16,
16,3,1,1,1,1,1,2,2,3,18,3,1,18,3,3,3,3,2,3,2,1,2,3,3,3,3,2,3,1,1,2,3,24,4,2,6,
4,6,2,6,2,2,4,2,2,6,2,2,2,2,2,2,6,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,2,
2,2,2,2,2,2,2,6,6,2,2,4,6,2,2,6,4,6,6,6,2,2,2,4,8,8,4,4,4,12,4,12,4,4,4,4,4,
12,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,4,12,4,4,4,4,4,4,8,16,8,8,8,1,1,1,1,1,3,1,3,
1,1,1,3,1,1,1,3,2,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,6,6,
4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,8,6,4,20,8,1,7,3,4,28,4,
6,2,12,8,8,4,12,4,12,4,12,16,16,16,24,8,24,16,16,8,16,16,16,16,1,14,3,3,2,4,2,
2,6,2,2,6,4,4,2,2,4,8,4,4,8,4,4,4,12,8,4,4,4,4,4,8,4,8,16,4,12,8,4,8,8,12,8,8,
4,4,16,8,4,4,4,4,8,12,8,4,4,8,8,8,8,8,8,16,16,24,16,8,8,8,8,16,32,24,8,8,16,1,
1,1,1,2,1,1,2,2,1,2,4,2,2,2,2,6,2,1,2,1,2,3,2,2,3,3,2,6,2,2,2,2,4,2,1,2,4,4,4,
2,4,4,8,4,2,2,4,4,4,2,2,2,2,4,2,6,4,4,2,4,2,4,4,2,4,4,2,2,2,8,2,2,2,4,2,4,2,2,
2,4,4,8,8,4,8,8,4,8,8,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,1,2,2,2,
2,1,1,2,2,1,2,1,2,2,3,2,4,1,2,2,1,2,2,4,2,2,2,2,2,2,2,2,4,2,4,2,4,2,4,2,6,2,4,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,4,4,4,1,1,1,1,1,1,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,9,22,4,20,1,4,3,15,10,6,24,48,20,20,8,60,16,16,16,8,
16,8,8,16,16,1,4,4,8,6,3,5,4,2,4,2,8,2,4,10,4,4,4,2,18,8,4,24,8,16,12,4,8,8,8,
8,4,12,4,12,16,16,8,60,12,20,16,8,8,24,8,16,16,56,24,8,16,16,1,1,1,2,1,2,1,2,
3,2,2,3,1,5,4,7,2,4,6,4,5,3,2,2,5,2,4,2,2,2,2,4,6,12,4,12,4,4,10,8,4,4,4,10,8,
4,4,6,6,4,4,4,8,6,4,12,14,8,8,4,4,8,8,4,8,8,4,4,4,4,16,8,8,16,8,8,1,1,1,1,1,1,
2,2,4,2,2,2,2,2,5,2,1,3,2,2,1,2,3,1,4,2,1,3,2,2,1,4,2,6,4,4,2,2,2,8,4,6,4,4,2,
2,6,4,6,8,4,2,2,2,4,2,4,4,6,4,2,4,2,4,2,2,4,4,4,4,4,1,1,1,1,1,2,2,1,2,1,1,2,1,
2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,5,4,10,8,24,28,
1,1,2,5,6,6,2,8,8,4,4,8,10,14,16,14,16,6,16,8,8,16,8,12,16,20,12,20,24,16,16,
8,40,32,40,32,24,8,24,8,1,2,1,2,1,3,2,4,4,1,2,2,5,2,3,6,2,2,4,2,8,4,4,4,4,10,
6,6,6,4,2,2,2,2,8,10,6,8,10,10,6,8,2,8,2,6,4,10,6,6,6,4,2,4,6,8,8,12,8,4,4,4,
8,8,4,8,12,12,4,4,8,4,16,4,12,4,4,4,8,12,8,12,8,16,12,4,16,4,4,12,8,8,12,4,12,
16,8,24,24,8,8,16,24,8,32,16,8,16,24,8,8,8,8,16,8,16,8,24,16,24,32,16,16,16,
16,16,16,1,1,1,1,2,2,1,1,2,2,2,2,2,1,2,1,1,4,2,2,2,2,2,3,1,1,2,2,2,2,3,2,2,2,
3,1,1,2,2,4,1,2,1,2,2,4,1,4,4,2,2,2,2,6,4,2,2,6,4,4,2,2,2,2,2,2,2,6,2,2,6,4,2,
6,2,4,2,4,2,2,2,2,2,4,2,4,4,4,2,4,4,4,2,4,4,2,2,6,6,6,2,2,2,2,2,2,2,4,2,2,6,2,
4,4,4,2,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,8,4,4,4,4,
8,8,4,8,4,4,4,4,4,8,4,4,4,8,8,8,4,8,4,8,4,12,4,4,4,4,8,4,4,4,4,24,8,16,8,8,8,
24,16,8,8,8,8,8,16,8,16,8,8,8,8,8,16,16,1,1,1,1,2,2,2,1,2,1,1,1,2,1,1,1,2,1,1,
2,1,2,2,2,1,2,2,3,1,2,2,2,1,1,1,2,2,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,
2,2,2,4,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,4,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,
2,2,2,4,4,4,4,8,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,5,4,10,8,24,12,1,1,2,5,6,6,2,8,8,4,4,8,10,14,16,6,16,14,16,8,8,16,8,
12,16,4,12,20,24,16,16,8,8,24,8,8,24,8,1,2,1,2,1,3,2,4,4,5,2,2,1,2,3,6,2,2,4,
2,8,4,4,4,4,10,6,6,2,4,6,2,10,2,8,6,6,2,10,10,2,8,2,10,4,6,6,6,2,4,6,4,6,12,8,
4,8,4,12,8,8,4,8,4,12,4,4,4,16,4,4,12,4,4,8,12,8,12,12,4,4,4,4,8,12,4,4,16,8,
24,24,8,8,8,8,8,16,16,8,8,16,8,8,16,8,8,8,16,16,16,16,1,1,2,1,1,2,1,1,2,2,2,2,
2,2,1,2,1,1,4,2,2,2,2,3,3,1,2,4,2,2,2,1,2,2,2,1,1,1,2,2,4,1,2,3,2,2,1,4,2,2,2,
6,2,4,4,2,2,2,4,2,2,2,4,2,2,6,2,6,2,2,6,2,2,6,4,2,4,2,4,2,2,4,4,2,2,4,2,2,4,4,
6,4,4,2,2,6,6,6,2,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,8,4,8,8,8,4,4,4,4,4,4,4,4,8,4,12,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,
8,1,1,1,1,2,2,1,2,1,2,1,2,1,1,2,2,2,2,1,1,1,2,1,1,2,2,2,2,1,1,1,3,1,2,1,1,2,1,
1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,4,2,2,2,4,2,4,2,2,2,
2,6,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,
1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,6,16,24,8,1,7,2,3,8,2,16,8,20,12,
4,10,14,16,4,16,4,12,4,8,16,8,16,16,8,12,20,40,32,8,8,8,8,8,16,1,3,3,3,3,12,4,
8,2,6,2,6,12,6,2,8,2,8,4,4,8,8,4,6,10,8,6,6,4,12,4,2,4,2,12,2,16,6,4,12,12,16,
8,8,4,8,4,4,4,8,4,8,12,4,16,4,8,8,24,8,28,4,4,8,4,8,8,4,8,12,4,16,8,8,8,8,8,
16,8,16,24,8,8,16,8,16,24,8,8,8,16,16,16,1,2,1,1,2,1,3,3,3,3,2,2,2,2,2,2,4,1,
2,6,1,2,3,2,3,2,3,2,2,6,2,2,6,6,1,1,8,2,2,2,4,6,4,2,2,2,2,2,4,4,2,2,2,4,4,4,2,
2,4,6,2,2,6,2,2,12,4,4,2,2,2,2,2,2,4,6,4,2,2,2,2,4,2,12,12,12,2,2,2,2,2,2,12,
6,4,2,2,2,2,4,24,4,12,4,24,4,4,8,4,4,8,4,4,4,4,4,8,4,8,4,4,8,12,8,8,8,8,8,8,8,
8,8,8,8,8,8,1,3,1,3,3,1,4,2,2,1,1,2,1,3,2,1,1,1,1,2,2,2,2,2,1,1,1,1,2,6,2,2,2,
1,2,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,12,2,2,2,2,2,2,6,
2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,
2,4,2,2,2,2,2,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,2,
1,1,2,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,9,22,4,20,16,1,4,3,15,10,6,24,48,20,8,20,60,16,16,
16,8,16,16,8,8,16,32,16,16,16,1,4,4,8,6,3,5,4,2,2,8,4,2,4,10,4,4,4,2,18,8,4,
24,8,16,12,4,4,4,8,4,8,4,8,8,4,12,4,12,16,16,8,60,12,8,8,20,16,8,8,8,8,24,8,
16,16,8,8,16,56,16,24,16,16,16,8,16,16,32,32,1,1,1,2,1,1,2,3,2,2,2,3,1,5,4,7,
2,4,6,4,5,3,2,2,5,4,2,2,2,2,4,6,2,12,4,4,12,4,4,10,4,8,4,4,4,10,8,6,4,6,4,4,4,
4,4,8,6,12,4,14,4,8,8,4,4,8,4,8,4,8,8,4,8,4,8,8,8,8,8,8,8,4,16,16,16,8,16,16,
8,8,8,8,16,8,16,8,16,8,1,1,1,1,1,1,2,2,4,2,2,2,2,2,5,2,1,3,2,2,2,2,1,2,3,1,4,
1,3,2,2,1,4,6,4,4,2,4,2,2,4,8,4,6,4,4,4,2,2,6,4,6,8,4,4,4,2,2,4,2,2,6,4,2,4,4,
2,2,2,4,4,4,4,4,4,8,8,8,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,1,2,1,1,1,2,2,2,1,1,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,9,6,4,36,16,1,7,3,8,4,14,2,12,8,8,4,4,8,28,8,12,16,32,32,8,40,16,24,16,
16,8,16,16,16,16,16,1,3,3,6,8,2,4,6,4,6,12,8,2,6,8,16,8,8,4,4,4,4,4,4,4,4,4,4,
4,4,8,4,4,4,4,8,32,4,12,24,4,8,4,8,24,4,4,16,8,8,24,4,4,12,4,8,8,28,16,4,4,8,
8,8,8,8,16,16,8,16,8,8,8,8,16,16,24,24,24,16,16,32,32,2,2,1,2,1,1,3,3,1,6,2,2,
1,2,2,6,2,2,1,6,3,1,2,1,3,2,4,2,2,2,8,2,3,2,2,4,4,2,4,4,4,2,2,4,4,4,2,2,2,2,4,
2,2,4,4,6,12,2,4,2,4,6,2,6,4,2,2,2,12,2,4,6,6,2,24,8,8,4,4,8,4,8,8,8,8,24,24,
8,4,24,8,8,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,8,8,8,8,8,8,8,1,1,3,1,4,3,1,1,2,1,
1,1,2,1,6,2,2,1,2,2,1,2,2,2,2,2,1,6,1,2,2,4,2,2,4,2,2,2,2,12,2,4,2,4,4,2,2,4,
2,2,2,2,4,2,4,4,2,2,2,2,4,4,2,4,2,2,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,8,8,4,4,4,8,8,1,1,1,2,2,1,1,1,1,2,1,1,1,1,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,9,4,6,20,36,20,3,2,3,4,9,6,6,12,16,18,30,18,24,36,36,12,10,36,10,16,72,12,
72,12,72,72,72,72,8,8,8,24,24,24,40,8,8,24,5,6,1,9,9,6,12,18,3,18,3,3,6,18,18,
24,24,24,24,6,36,6,36,10,6,10,6,2,6,12,6,10,6,2,6,6,6,6,36,6,6,2,36,10,12,10,
2,12,48,8,8,16,72,72,4,72,4,12,24,4,4,4,4,72,72,4,4,12,4,24,4,72,12,4,72,4,12,
12,72,72,72,4,16,8,24,8,8,24,8,24,144,8,24,8,8,8,24,144,48,24,8,8,24,24,24,24,
16,16,16,16,16,16,1,1,6,6,8,9,3,9,2,4,2,12,6,3,18,3,18,3,3,3,3,6,3,3,1,6,3,3,
1,3,6,3,24,6,2,2,6,6,2,6,6,2,6,12,36,36,36,6,2,36,2,2,6,6,36,2,2,2,6,6,2,6,6,
6,6,6,6,6,12,12,6,2,12,2,2,6,6,2,2,6,6,2,2,10,6,4,4,4,12,12,24,4,12,4,4,4,4,4,
4,4,4,12,72,4,72,4,72,4,4,4,4,4,4,4,24,4,4,24,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,
12,12,4,4,4,4,4,4,24,4,4,8,8,24,8,24,8,8,8,8,24,8,8,8,8,24,24,24,24,8,24,144,
16,16,3,1,2,1,1,3,3,2,2,4,3,18,3,1,18,6,3,3,3,3,3,1,3,3,6,3,3,3,1,1,3,24,2,2,
2,6,6,12,2,6,2,2,2,6,2,2,12,6,2,2,2,2,2,6,2,6,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,12,2,6,6,2,2,2,2,2,6,6,2,2,2,6,2,6,6,2,2,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,
4,4,12,24,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,1,1,1,1,1,1,1,1,6,3,1,3,6,
3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,6,6,2,4,4,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,22,12,12,1,4,3,15,16,6,18,24,48,12,12,
8,60,24,8,24,24,16,16,3,4,4,8,6,3,3,12,6,4,6,12,6,6,6,18,12,24,16,12,4,8,12,
12,12,12,48,24,60,12,8,12,24,8,24,24,8,16,24,24,16,8,16,1,1,3,3,2,3,3,3,3,3,3,
2,6,6,9,3,2,2,3,2,6,12,6,6,2,12,12,4,12,4,6,4,12,4,4,4,6,4,6,6,12,12,12,12,6,
12,6,4,4,4,8,4,8,12,12,4,4,24,8,24,8,1,1,3,4,3,3,3,2,2,6,2,2,3,9,3,3,6,6,3,3,
2,3,3,3,4,6,6,2,6,4,6,12,6,6,6,4,6,4,4,2,6,2,2,6,6,2,4,6,2,4,4,4,1,1,1,3,2,3,
2,3,3,1,3,3,1,6,2,2,2,2,2,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,22,12,12,16,1,4,3,
15,16,6,18,24,48,12,8,12,60,24,8,16,24,24,16,32,16,16,16,3,4,4,8,6,3,3,12,6,6,
12,4,6,6,6,18,12,24,16,12,4,4,4,12,4,8,4,12,12,12,48,24,8,8,60,12,8,12,24,8,
24,8,8,24,8,16,8,8,16,24,16,24,16,16,8,16,16,16,32,32,1,1,3,3,3,3,2,3,3,3,3,2,
6,6,9,3,2,2,3,6,12,6,6,2,12,2,12,4,4,12,4,4,4,6,12,4,6,4,6,4,6,4,4,12,12,12,
12,6,4,12,4,6,4,4,8,4,8,12,8,12,4,8,8,8,8,8,8,8,4,16,16,16,8,16,8,24,8,8,24,
16,8,16,8,1,1,3,4,3,3,3,2,6,2,3,9,3,2,2,3,6,6,3,3,3,3,3,2,4,6,6,2,6,4,6,12,6,
6,6,6,4,2,6,4,2,2,4,6,4,6,4,4,2,4,6,2,4,4,4,4,8,8,4,4,4,4,4,8,4,4,4,8,8,1,3,1,
1,2,3,3,3,1,2,3,3,1,2,6,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,9,8,6,16,24,32,1,7,2,3,4,28,2,16,8,20,12,4,10,14,16,16,16,16,12,
4,8,16,8,8,16,32,12,20,40,32,8,8,8,48,24,64,24,64,48,48,1,3,14,3,3,3,4,12,4,8,
8,6,8,6,6,6,2,8,2,8,4,4,8,8,4,2,10,4,6,16,2,12,12,12,12,12,12,12,6,12,12,12,6,
12,12,2,16,16,16,12,6,12,12,16,12,12,16,8,8,8,8,4,8,4,4,4,32,4,8,12,24,24,4,
24,16,4,24,24,24,24,24,24,28,4,8,4,24,4,32,8,4,8,12,4,32,32,32,8,16,8,8,8,8,8,
64,24,16,8,8,8,48,8,8,16,8,16,24,16,8,8,8,24,8,24,16,16,16,16,16,16,16,16,16,
1,1,1,1,1,2,1,3,3,3,3,3,3,4,2,4,4,2,4,6,6,2,2,1,8,6,6,1,6,6,3,2,2,1,1,6,6,8,6,
6,8,6,8,6,6,3,3,8,6,2,8,2,6,8,8,2,2,12,2,2,2,2,2,4,12,4,2,12,2,2,4,2,2,12,4,2,
12,12,2,12,2,2,2,12,2,12,2,2,12,2,12,2,2,2,2,2,2,2,12,2,4,2,12,12,12,4,2,6,12,
12,12,2,2,2,2,12,12,12,12,12,12,2,2,12,4,2,12,2,12,2,12,4,12,4,4,24,24,24,24,
4,12,4,12,4,4,4,4,4,24,4,4,24,4,24,24,24,4,24,4,12,4,8,24,4,4,24,4,4,4,4,32,4,
4,24,4,4,4,4,4,4,24,4,24,24,4,4,4,4,4,4,24,24,24,32,24,24,24,4,4,24,24,24,24,
4,4,24,4,4,24,4,24,24,24,4,12,24,24,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,
8,16,16,16,16,1,1,1,1,3,3,3,3,4,4,4,2,6,2,1,1,1,1,1,1,1,1,1,1,6,6,1,1,1,1,2,6,
6,1,1,1,1,1,3,2,1,6,8,3,1,1,1,1,1,1,6,3,6,8,2,2,4,2,2,2,2,2,2,4,2,2,12,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,12,12,12,2,12,12,2,2,2,2,2,2,2,2,
12,2,12,12,2,12,2,2,12,2,2,12,2,2,2,2,2,2,2,12,2,2,2,2,12,2,2,2,2,12,12,12,12,
2,2,2,2,12,2,2,2,2,2,12,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,12,12,2,4,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,24,4,4,4,4,4,4,4,4,24,4,4,4,4,4,4,4,24,4,4,4,4,4,24,24,4,4,
4,4,4,4,4,4,24,4,4,24,4,4,24,4,4,4,4,4,4,24,24,4,4,24,4,4,4,24,1,1,3,3,4,4,1,
1,1,1,1,1,1,6,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,12,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1],[1,13,8,18,4,12,8,3,2,9,15,12,28,6,6,42,24,
20,4,12,4,60,20,8,8,8,8,8,8,16,16,16,32,1,1,6,6,14,9,15,3,12,2,2,2,10,2,6,6,
18,10,2,6,2,6,6,8,8,8,24,32,4,4,4,4,4,8,4,4,4,36,4,8,4,8,4,4,8,4,8,8,16,8,16,
8,48,16,8,8,8,8,8,8,8,16,8,8,8,8,8,16,48,16,16,32,16,8,16,16,1,1,3,3,2,2,2,1,
3,1,2,3,2,1,3,1,2,2,6,6,2,2,4,2,2,4,2,4,18,4,2,12,2,2,6,2,2,4,18,2,6,2,2,4,2,
2,2,2,2,6,4,2,4,4,8,4,8,12,4,4,4,12,4,8,8,4,4,12,4,4,12,4,4,4,4,8,8,8,8,12,4,
4,8,4,4,8,8,8,4,8,4,8,4,8,8,8,8,8,4,8,4,8,8,4,8,8,8,8,8,8,8,8,8,8,1,3,1,2,1,1,
1,2,1,1,1,3,2,2,1,4,6,2,2,2,3,2,2,2,1,3,2,1,2,3,2,4,2,2,2,1,2,2,2,2,2,4,2,4,2,
2,2,2,2,2,6,4,6,2,2,2,2,2,4,2,6,2,4,2,6,2,2,4,4,2,8,2,4,4,2,4,4,2,6,2,8,2,4,8,
6,4,2,2,6,2,4,2,2,8,6,4,8,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,4,1,2,2,1,1,
2,2,1,2,2,1,1,3,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,9,4,6,4,20,20,3,2,3,9,6,6,10,6,18,12,10,20,10,16,16,16,24,12,24,
12,24,24,8,8,8,8,24,8,8,8,24,8,1,6,1,9,5,6,4,6,3,6,8,3,4,4,3,6,6,4,6,4,8,8,8,
2,6,2,2,2,6,2,2,6,10,2,2,6,6,2,2,4,6,4,6,6,2,2,4,6,8,8,24,4,12,8,8,4,24,4,4,4,
4,12,12,4,4,16,8,12,24,12,8,4,24,4,4,12,24,12,16,8,8,16,32,8,8,8,8,8,8,8,8,8,
8,8,8,16,16,16,16,1,1,2,3,1,2,3,4,2,2,4,2,3,3,2,2,2,2,1,2,2,2,1,2,1,1,2,2,2,1,
2,3,1,2,2,2,1,1,1,1,2,3,6,4,4,2,2,4,2,2,2,2,2,2,2,2,12,4,12,2,4,6,2,12,6,2,4,
4,4,2,4,2,2,2,6,4,4,2,2,2,2,8,2,2,2,2,4,4,4,4,12,4,6,6,8,8,2,2,2,4,2,2,2,2,2,
4,2,2,2,2,4,8,4,12,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,
8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,2,2,1,2,3,1,2,1,1,2,2,2,2,1,2,2,2,2,
6,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,4,4,2,2,4,2,2,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,6,8,
16,24,1,7,2,3,8,2,4,8,12,4,10,14,16,12,8,12,12,12,8,8,16,16,24,12,20,24,16,8,
8,8,32,8,8,16,16,1,1,3,3,1,4,6,2,4,6,2,12,6,2,4,2,4,4,8,4,6,10,8,6,6,4,8,8,4,
8,4,8,2,8,4,2,4,4,2,8,4,6,4,4,4,8,8,4,8,8,4,4,4,8,4,8,12,8,8,4,8,16,4,8,8,8,8,
8,8,12,4,4,16,4,24,8,4,8,12,4,8,16,8,8,8,24,8,8,16,8,24,8,16,8,8,16,8,8,8,16,
16,16,16,2,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,4,1,2,2,2,1,2,2,3,2,3,2,3,2,4,2,2,2,
2,2,6,2,2,1,1,4,2,2,2,2,4,2,4,6,4,2,2,2,2,2,4,4,2,2,2,4,2,2,8,4,6,4,2,4,2,6,2,
2,4,2,2,8,2,2,2,4,2,6,4,2,4,2,2,2,4,2,4,2,2,2,2,2,2,4,4,6,2,4,2,2,2,4,4,8,4,4,
8,8,4,8,8,4,8,4,4,4,4,8,8,4,4,8,4,4,4,8,4,8,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,1,2,1,1,1,1,1,2,2,1,1,2,2,1,3,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,2,2,1,2,1,1,
2,2,2,4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,6,4,2,2,
2,4,2,4,2,2,2,2,2,2,4,2,4,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,4,2,
2,2,4,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,2,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,9,4,6,12,12,20,3,2,3,9,6,6,16,6,18,18,20,10,12,
10,8,24,12,24,12,24,24,8,8,16,8,8,8,8,24,8,8,24,3,6,1,9,3,6,12,6,3,6,4,3,4,4,
3,10,6,4,6,4,8,8,2,6,6,2,6,6,2,6,12,2,10,2,2,6,2,2,6,2,2,2,6,12,6,2,12,24,4,
12,8,8,4,4,4,4,4,12,12,12,4,24,4,24,12,8,4,24,4,4,12,24,12,16,8,8,16,16,32,8,
8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,1,2,3,2,3,3,2,2,2,6,3,3,2,2,1,2,2,2,1,2,1,
1,2,6,2,1,3,1,2,2,6,1,1,1,1,6,2,3,6,4,4,2,2,4,2,2,2,2,2,2,2,4,12,4,2,4,2,12,2,
2,4,4,6,2,2,2,4,2,2,6,4,2,2,2,2,8,2,2,2,2,4,4,12,4,4,2,2,8,8,4,12,2,2,6,2,2,2,
2,4,2,2,2,6,4,6,4,4,8,8,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
8,8,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,2,1,2,3,3,2,1,6,2,3,1,2,1,1,2,2,1,2,2,
2,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,4,4,2,2,2,2,4,2,4,2,2,2,4,2,2,4,4,4,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,13,18,4,
12,16,3,2,9,15,16,6,6,42,24,20,8,12,8,60,20,8,16,8,16,8,8,32,16,16,16,1,1,6,6,
9,15,3,2,4,2,10,4,6,6,24,10,2,6,2,6,6,8,8,8,24,32,8,8,8,4,8,8,8,4,8,8,4,8,8,4,
8,16,8,16,48,16,8,8,8,8,8,8,8,8,16,8,8,8,8,16,8,16,8,8,16,48,16,16,16,16,8,16,
16,16,1,4,3,2,2,2,2,3,1,2,3,2,2,3,1,2,6,2,12,4,4,4,4,4,2,4,4,2,12,2,6,2,4,2,6,
4,4,2,2,2,2,2,12,4,4,4,4,4,8,4,12,12,8,4,4,4,4,4,4,8,8,4,4,4,12,4,12,4,4,4,8,
8,4,8,4,4,4,4,4,12,4,8,4,4,8,4,8,4,8,4,8,8,8,8,8,4,8,8,4,8,8,4,8,8,8,8,8,8,8,
8,8,8,8,1,1,2,1,1,2,2,1,1,6,2,2,2,2,1,4,2,2,3,2,2,2,1,2,2,2,3,2,1,3,2,4,2,2,1,
2,2,2,2,2,4,2,2,2,2,2,2,6,4,6,2,2,2,2,2,4,2,6,2,4,2,6,2,2,4,4,4,4,2,4,8,6,4,4,
2,4,2,6,6,4,8,4,2,4,6,4,2,6,6,2,4,4,4,6,2,6,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,3,
1,1,2,1,2,1,3,2,2,2,1,2,1,1,1,2,2,1,3,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1],[1,9,6,4,20,16,1,7,3,8,4,6,2,12,8,8,4,12,8,12,8,12,16,
16,24,24,16,24,16,16,8,16,16,16,16,1,3,3,2,2,4,6,4,2,12,4,4,2,2,4,8,4,12,4,4,
4,4,4,4,4,4,4,4,8,4,4,4,8,4,8,16,4,12,8,4,8,4,8,8,4,4,16,8,8,16,4,4,12,4,8,12,
16,4,4,8,8,8,8,8,16,16,24,16,8,8,8,8,24,24,24,16,2,1,1,2,1,1,1,2,1,2,2,2,1,4,
6,2,4,2,2,2,1,2,3,1,2,2,1,3,2,2,4,2,2,2,4,2,3,2,2,4,4,2,4,4,2,2,4,4,4,4,2,2,2,
2,4,2,2,4,4,6,4,2,4,4,2,4,4,6,2,6,4,2,2,2,4,2,6,6,2,4,4,8,8,4,8,8,8,4,8,4,4,4,
4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,3,1,1,2,1,1,1,2,2,1,2,2,1,2,2,2,1,2,2,2,2,
2,1,2,1,2,4,4,2,2,2,2,2,2,2,4,2,4,4,2,2,4,2,2,2,2,2,4,4,2,2,2,2,4,2,4,2,2,2,2,
2,2,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,1,1,1,2,2,1,1,1,2,1,
1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,8,6,8,
16,16,1,7,2,3,4,28,2,4,8,12,4,10,14,16,8,8,8,12,12,8,8,8,16,16,12,20,24,16,8,
8,8,16,24,32,24,32,16,1,1,14,3,3,1,4,4,4,2,4,4,2,6,6,2,4,2,4,4,8,4,2,10,4,6,8,
2,4,4,4,8,4,4,6,4,12,4,6,4,2,8,8,8,6,4,4,8,8,8,8,8,4,8,8,4,4,4,16,4,8,12,4,16,
4,8,8,12,4,8,4,8,8,4,16,8,4,8,12,4,16,16,8,8,8,24,8,32,16,24,16,8,8,8,16,16,
16,16,8,24,8,24,16,16,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,1,4,2,2,6,1,2,3,2,2,1,1,2,
4,4,2,6,4,2,2,4,2,2,3,3,4,2,4,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,2,4,2,2,4,4,4,2,2,
4,4,2,2,2,2,2,2,4,2,2,4,2,2,2,4,2,4,2,2,4,2,2,4,2,4,2,4,4,2,6,4,2,2,2,2,2,4,2,
4,2,2,2,4,4,4,8,4,12,4,4,4,8,12,8,4,16,4,8,8,8,8,4,4,16,8,4,8,4,4,8,4,8,4,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,16,8,16,8,8,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,1,
2,1,1,1,1,2,2,2,2,1,1,1,1,1,3,2,1,4,3,2,2,1,1,1,1,1,1,2,3,2,4,2,2,2,4,2,2,2,2,
2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,4,2,2,4,2,
2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,
2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,4,10,16,16,12,1,
1,2,5,6,6,2,16,4,20,4,4,8,10,14,8,6,8,14,16,16,8,8,12,16,4,12,20,24,16,16,8,8,
8,24,8,8,24,3,2,1,2,1,1,2,12,4,5,2,6,1,2,3,2,2,2,4,2,4,4,4,4,10,6,6,6,4,10,2,
10,6,4,2,6,2,10,6,6,4,2,6,2,2,6,6,8,10,2,4,8,28,8,8,4,4,12,8,8,4,8,4,12,4,4,8,
4,16,4,4,12,12,4,8,4,8,12,12,4,4,4,4,8,12,4,4,16,24,8,8,8,8,16,8,8,16,8,16,8,
8,8,8,16,24,8,16,16,16,1,1,2,1,1,1,1,2,2,2,2,2,1,2,1,1,2,2,2,2,3,3,1,2,4,2,2,
2,1,2,2,2,1,6,1,1,2,2,2,2,4,1,6,3,2,1,4,2,2,2,6,2,4,4,2,2,4,2,2,2,4,4,2,2,6,2,
2,2,2,4,2,2,6,6,2,2,2,2,2,4,4,2,2,4,2,2,4,4,6,4,4,2,2,2,2,6,2,2,2,4,2,2,6,4,2,
2,2,2,4,6,6,4,4,4,4,4,4,12,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,12,4,8,4,4,4,4,8,4,8,
4,4,4,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,2,2,1,2,2,2,1,2,1,2,1,1,
2,2,2,1,1,2,1,2,2,1,1,2,2,2,1,1,1,3,1,1,1,1,1,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,6,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,1,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,5,4,10,16,16,28,1,1,2,5,6,6,2,16,4,20,4,4,8,10,14,8,14,8,6,16,16,8,8,12,
16,20,12,20,24,16,16,8,40,32,24,32,40,8,8,24,3,2,1,2,1,1,2,12,4,1,2,6,5,2,3,2,
2,2,4,2,4,4,4,4,10,6,6,10,4,6,2,2,6,4,6,6,8,10,10,2,8,6,4,2,2,6,2,6,10,8,6,2,
4,8,8,8,28,8,8,4,8,4,4,8,8,4,8,12,12,4,4,4,16,4,12,4,12,4,8,4,8,12,8,16,12,4,
16,4,4,12,8,8,12,4,12,16,8,8,8,24,8,8,24,8,32,16,16,24,8,16,8,16,24,8,8,16,24,
16,24,16,16,16,16,32,16,1,1,1,1,2,1,1,2,2,2,2,1,2,1,1,2,2,2,2,2,3,1,1,2,2,2,2,
3,2,2,2,3,6,1,1,2,2,2,2,4,1,6,1,2,4,1,4,4,2,2,2,2,6,4,4,4,2,6,2,2,2,4,2,2,2,2,
2,2,2,2,6,6,2,2,2,4,2,2,2,2,2,4,2,4,4,4,2,4,4,4,2,4,4,2,2,2,2,6,2,2,2,4,2,2,6,
4,2,4,2,6,4,2,6,4,6,4,4,4,4,4,12,12,4,4,4,4,8,4,4,4,8,12,8,4,4,4,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,12,8,8,4,8,4,4,8,4,8,4,4,4,8,4,4,4,4,4,12,4,4,8,24,
8,8,16,8,8,8,24,16,8,8,8,16,8,16,8,8,8,8,8,16,16,1,2,1,1,1,2,2,2,1,2,1,1,1,2,
1,1,1,1,1,2,1,2,2,2,2,2,1,2,3,1,2,2,2,1,1,1,2,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,4,4,2,2,2,2,4,2,2,4,2,2,2,4,2,2,6,4,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,3,18,18,4,4,32,1,3,16,18,9,18,12,18,18,18,4,12,36,12,3,12,
6,9,9,12,18,18,36,16,1,1,8,4,12,4,32,12,12,12,1,3,3,18,18,16,1,3,3,3,4,6,12,3,
4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,9,6,36,16,16,8,3,2,3,9,18,18,18,36,36,48,48,
24,48,6,9,9,18,9,18,18,36,36,16,12,8,8,2,12,8,24,24,1,9,9,18,18,16,12,12,6,24,
24,12,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,3,12,36,4,4,32,1,16,18,18,18,36,36,12,
24,12,24,96,3,12,9,9,18,18,18,72,16,1,1,8,4,4,32,12,12,12,12,1,9,9,18,18,16,3,
3,6,6,24,12,12,48,9,4,4,2,1,1,3,3,3,3,4,4,3,6,3,1,1],[1,9,12,6,16,16,8,3,2,3,
9,18,18,18,16,24,48,6,3,9,18,9,18,16,12,8,8,2,12,8,1,9,9,16,12,6,12,3,8,1,1,2,
1,3,1,1],[1,9,6,12,16,16,8,3,2,3,9,18,18,18,16,48,24,3,6,9,9,18,18,16,12,8,8,
2,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,3,6,12,18,4,4,32,1,3,3,16,18,9,
9,36,36,4,12,12,12,24,3,3,12,9,9,9,9,9,9,9,18,24,16,1,1,8,4,4,32,12,12,12,12,
1,3,3,9,9,9,9,16,1,3,3,3,4,6,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,3,12,36,
16,4,20,1,4,12,18,18,18,36,36,12,48,24,12,72,3,12,9,9,18,18,18,36,36,16,4,1,
16,4,5,4,12,4,12,12,12,12,1,9,9,18,18,16,3,3,12,24,18,12,6,12,12,12,9,4,4,1,1,
1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,3,3,9,36,4,16,20,1,1,3,3,9,9,9,18,18,18,18,18,
18,24,12,48,12,72,3,3,9,9,9,9,9,18,18,18,18,18,18,16,4,1,4,5,4,4,12,4,12,12,
12,12,12,1,9,9,9,9,9,9,16,3,3,6,12,12,18,12,12,12,12,12,9,4,4,1,1,1,1,3,3,3,3,
4,4,3,3,3,3,1,1],[1,7,8,28,7,28,28,56,8,1,14,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,
1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,
7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,21,7,21,21,
21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,21,24,42,64,7,14,21,63,84,84,
126,168,252,64,3,42,42,42,48,63,63,84,126,126,168,168,168,252,504,112,224,3,7,
14,21,21,63,126,126,126,126,126,168,252,112,21,21,42,42,63,126,28,56,1,21,21,
28,3,1,1],[1,9,6,36,36,64,3,2,3,4,9,12,48,18,54,18,24,36,36,36,36,48,72,72,72,
72,72,72,64,9,6,9,9,36,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,36,48,48,
72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,32,48,64,192,1,3,6,6,8,9,9,9,
12,12,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,
144,48,64,3,6,9,9,12,18,18,18,18,24,36,36,36,72,4,24,24,32,1,3,3,18,18,4,24,3,
1,1],[1,21,42,24,64,7,14,21,63,126,168,12,12,252,24,24,48,48,64,3,42,42,48,63,
63,6,6,126,168,168,168,12,12,12,12,12,504,24,24,24,24,24,24,48,48,48,48,96,
112,224,7,14,21,3,3,63,6,6,6,126,6,6,168,12,12,12,12,12,12,12,12,12,252,24,24,
24,24,24,24,24,24,48,48,48,48,16,32,64,21,42,3,3,6,6,6,6,6,12,12,12,12,12,12,
24,24,24,24,48,28,56,1,3,3,6,6,12,12,4,8,16,3,1,1],[1,21,42,4,12,64,7,14,21,
63,6,6,126,168,12,12,252,12,24,24,24,24,64,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,
6,6,6,126,8,168,168,168,8,12,12,12,12,24,24,24,504,24,24,24,24,24,48,48,112,
224,7,14,21,3,3,3,63,3,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,252,12,48,48,48,48,16,32,32,21,1,42,2,2,3,3,3,3,3,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,24,28,56,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,13,
18,12,36,64,3,2,9,4,15,12,18,18,42,24,24,36,36,12,36,60,12,72,72,72,72,72,72,
64,1,3,6,6,9,15,9,18,18,6,6,6,6,18,6,18,6,6,24,24,24,8,24,32,24,36,36,12,36,
12,36,12,12,48,24,24,72,72,72,48,24,72,72,72,24,72,72,72,72,48,48,144,144,32,
48,64,192,1,3,6,6,8,3,9,3,3,9,12,18,18,6,6,6,12,6,6,6,6,6,6,6,6,6,24,36,36,36,
36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,72,72,72,48,48,48,48,144,16,
32,32,1,3,2,2,3,3,3,3,3,18,6,18,6,6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,24,4,
24,24,32,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,9,6,12,60,64,3,2,3,4,9,12,30,18,18,24,
36,36,12,60,24,48,72,72,72,72,72,72,48,64,3,6,9,15,12,18,18,12,6,18,18,24,24,
24,24,24,36,36,12,36,12,36,12,48,24,72,24,72,72,24,24,72,72,48,24,72,72,72,72,
72,48,144,48,144,48,96,32,48,64,192,1,3,6,6,8,9,3,9,12,12,18,18,6,6,6,6,6,24,
36,36,36,12,36,12,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,72,72,72,48,48,
48,48,144,16,32,64,3,3,3,18,18,6,6,6,6,6,24,12,12,12,12,12,12,24,24,24,24,48,
4,24,24,32,1,3,3,6,6,12,12,4,8,16,3,1,1],[1,21,42,12,36,16,7,14,21,63,18,18,
126,168,36,36,252,36,72,72,72,72,16,48,48,3,3,42,42,48,63,63,9,18,18,18,18,18,
18,18,18,18,18,126,24,168,168,168,24,36,36,36,36,72,72,72,504,72,72,72,72,72,
144,144,8,12,16,48,48,7,14,21,9,9,9,63,9,18,18,18,18,18,126,18,18,18,18,18,18,
18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,144,144,144,144,12,12,
12,16,24,24,24,21,3,42,6,6,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,72,1,8,12,12,12,24,24,1,9,9,18,18,18,18,1,3,3,12,3,1,3,3,1],[1,9,12,
6,12,36,36,16,3,2,3,4,9,18,18,12,18,18,18,24,36,36,18,36,18,72,36,72,36,72,72,
72,72,72,72,72,72,16,48,48,3,6,3,9,9,18,18,9,18,9,9,18,18,24,24,24,24,18,36,
18,36,18,18,18,18,18,18,18,18,18,18,36,18,18,36,18,18,48,24,24,72,72,72,36,72,
72,72,36,72,36,36,72,72,72,72,72,72,144,72,72,144,72,72,72,72,72,12,8,16,48,
48,1,6,6,8,9,9,12,9,18,9,18,9,9,9,9,9,9,9,9,9,9,24,18,18,18,18,18,18,36,36,36,
18,36,18,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,72,72,72,36,
36,36,36,72,72,72,72,72,72,72,72,144,12,12,12,16,24,24,24,3,3,3,3,6,9,18,9,18,
9,9,9,9,9,9,9,9,9,9,9,24,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,
36,36,36,1,8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,3,3,12,3,1,3,3,1],[1,9,22,
12,12,64,1,4,3,15,16,6,18,24,48,12,12,60,24,24,24,64,3,4,4,8,6,3,3,12,6,6,12,
6,6,6,18,12,24,16,12,12,12,12,12,48,24,60,12,12,24,24,24,24,24,16,16,48,64,1,
1,3,3,3,3,3,3,3,3,6,6,9,3,3,6,12,6,6,12,12,12,6,12,6,6,6,12,12,12,12,6,12,6,
12,12,24,24,16,16,16,32,1,1,3,4,3,3,3,2,6,3,9,3,3,6,6,3,3,3,3,3,6,6,6,6,12,6,
6,6,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,9,6,12,36,24,64,3,2,
3,4,9,12,18,18,18,24,36,36,12,36,12,72,72,72,72,72,72,24,24,24,24,24,24,64,3,
6,9,9,18,18,18,18,24,24,24,24,36,36,6,6,12,6,6,36,6,36,6,48,72,72,12,72,12,72,
72,12,12,72,12,72,12,72,72,72,24,24,24,24,144,24,24,24,24,144,24,24,48,48,48,
32,48,64,192,1,6,6,8,9,9,12,18,18,3,3,24,6,6,6,6,36,36,36,6,36,6,6,36,6,6,6,6,
6,6,6,6,12,12,12,12,12,72,12,72,72,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,24,144,16,32,32,32,3,18,3,18,3,3,3,24,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,24,24,24,24,4,24,24,32,1,3,3,3,3,3,3,12,12,4,4,4,16,3,1,1],[1,9,4,
6,12,36,12,64,3,2,3,4,9,6,6,12,18,18,18,24,36,36,6,36,6,72,12,72,12,72,72,72,
72,24,24,24,24,64,3,6,1,9,9,6,18,3,18,3,3,18,18,24,24,24,24,6,36,6,36,6,6,6,6,
6,6,6,6,6,6,36,6,6,36,6,6,48,8,8,72,72,72,12,72,72,72,12,72,12,12,72,72,72,24,
24,24,144,24,24,144,24,24,24,24,24,32,48,64,192,1,6,6,8,9,9,12,3,18,3,18,3,3,
3,3,3,3,3,3,3,3,24,6,6,6,6,6,6,36,36,36,6,36,6,36,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,72,72,72,12,12,12,12,24,24,24,24,24,24,24,24,144,16,32,32,3,1,1,1,
2,3,18,3,18,3,3,3,3,3,3,3,3,3,3,3,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,4,24,24,32,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,7,8,12,24,24,16,7,28,6,6,12,
12,12,6,12,6,8,12,12,24,12,24,24,24,48,48,16,16,16,32,32,1,14,6,6,6,3,6,3,2,2,
6,12,12,12,12,12,12,12,12,6,24,12,12,6,12,24,12,12,24,24,12,48,12,24,24,24,24,
8,4,16,16,16,32,32,1,3,3,6,3,3,6,6,6,6,3,6,3,6,6,6,6,6,6,6,6,6,6,24,6,24,6,12,
12,12,12,24,24,4,4,4,8,8,8,8,8,8,16,1,3,3,3,6,6,6,3,3,3,6,6,6,6,6,6,6,4,4,4,8,
8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,18,18,12,16,7,6,4,6,4,9,9,18,18,18,6,
6,12,4,24,12,36,12,12,12,12,12,16,16,16,1,1,1,9,3,3,6,9,2,6,18,12,18,6,6,3,3,
6,6,3,18,3,6,3,3,18,12,6,6,12,6,6,6,6,6,12,12,6,6,6,6,12,12,12,24,12,24,12,12,
12,12,12,4,4,4,16,16,16,1,3,1,1,3,6,3,9,3,3,3,3,3,9,2,6,3,3,6,6,6,6,3,3,3,6,3,
3,3,6,3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,
6,6,12,6,6,6,6,12,6,6,4,4,4,4,4,4,4,4,4,8,16,3,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,
3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,
4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,21,8,42,16,7,14,
21,63,28,28,126,168,252,48,32,3,42,42,14,48,63,63,28,42,126,168,168,168,84,
504,8,12,16,16,16,1,7,14,7,21,63,42,42,126,42,42,168,252,12,24,24,8,16,21,7,
42,14,21,42,1,8,4,12,4,1,7,7,3,2,4,1,1,1,1,1],[1,9,6,4,12,48,16,3,2,3,9,6,6,
18,24,12,24,16,24,24,24,24,24,24,24,24,24,24,24,24,64,16,1,6,9,3,6,6,6,6,6,6,
8,8,6,12,6,12,6,6,24,6,6,6,6,6,6,24,12,24,12,12,24,24,12,24,12,12,24,24,24,24,
24,24,24,24,24,24,48,48,12,8,16,16,16,1,3,3,4,6,3,3,3,3,3,3,6,12,6,6,6,6,6,12,
12,6,6,12,6,6,6,12,6,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,24,24,
16,4,8,8,16,16,16,1,6,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,1,4,4,
4,8,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,9,8,6,24,16,1,7,3,4,28,12,12,24,12,
12,32,24,24,24,48,32,1,14,3,3,6,4,8,6,6,6,6,6,6,16,8,8,12,12,24,24,24,24,24,
24,48,8,4,16,16,16,1,1,2,1,2,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,24,
24,8,4,8,16,8,8,16,1,3,3,4,6,6,6,6,6,6,12,12,12,4,4,4,8,8,1,3,3,4,4,1,4,1,1,1,
1,1],[1,9,12,6,12,12,36,16,3,2,3,9,18,18,16,6,18,18,12,18,12,18,24,12,24,12,
24,24,24,24,72,24,24,72,16,48,48,3,6,3,9,3,18,12,6,3,6,3,9,6,6,6,8,8,6,18,18,
6,6,18,12,6,18,6,18,6,18,6,6,6,18,12,18,6,12,24,12,12,12,12,12,12,36,12,24,12,
24,12,12,24,12,12,24,12,48,24,24,24,24,24,24,24,24,48,12,8,16,48,48,1,1,3,3,3,
6,6,6,9,3,3,3,6,3,9,3,6,3,3,6,3,6,6,6,6,6,12,6,12,6,18,6,6,6,6,6,6,6,6,6,12,6,
6,12,6,6,18,6,6,6,18,18,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,12,12,12,16,8,8,8,16,1,2,3,3,3,6,6,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,1,4,12,12,8,8,1,3,3,
3,3,3,3,6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[1,9,6,12,60,16,1,7,3,12,18,6,12,
24,24,12,12,36,12,24,32,48,72,72,48,48,24,48,16,48,48,1,3,3,6,8,6,6,6,12,6,6,
12,16,8,8,12,12,24,12,12,12,24,48,12,36,24,12,24,24,24,12,48,24,12,12,36,24,
24,24,24,48,24,24,48,72,48,96,8,4,16,48,48,2,1,2,3,3,3,6,3,6,6,6,3,6,9,6,12,
12,12,6,12,12,6,6,6,6,12,24,12,12,24,24,24,24,24,12,24,24,24,48,48,24,24,24,8,
4,4,8,4,8,16,8,16,16,8,8,3,3,4,3,3,3,6,6,3,3,6,12,6,6,6,12,6,6,6,12,12,12,12,
12,24,8,8,4,4,8,4,16,8,8,8,16,1,3,3,6,6,6,6,6,6,1,8,4,3,1,1,1,1],[1,3,12,12,
24,64,1,4,16,18,12,18,18,12,12,24,24,24,24,64,3,3,12,9,12,12,6,6,36,12,6,12,6,
6,6,12,12,12,12,12,24,48,24,16,16,48,64,1,1,3,3,9,9,9,6,6,6,6,12,12,6,6,12,12,
12,12,12,12,16,16,16,32,3,3,9,3,3,3,6,3,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,7,36,24,16,7,4,12,12,18,12,18,8,12,36,24,36,24,16,32,32,1,6,6,6,9,9,
2,2,6,36,6,36,6,12,24,24,12,12,24,24,24,24,24,8,4,16,16,16,1,3,3,3,9,6,9,3,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,8,4,8,8,8,8,8,16,3,1,3,3,6,6,6,3,6,6,
3,3,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,8,18,18,36,16,7,6,
28,6,4,9,9,18,18,18,18,18,12,4,36,36,12,12,12,72,72,72,72,12,12,16,16,16,32,
32,1,14,1,1,9,9,9,9,2,18,18,18,3,3,18,18,3,18,18,18,3,18,3,3,18,24,24,12,6,36,
6,6,6,6,6,6,6,6,6,6,36,36,8,8,12,72,72,12,12,12,12,12,12,72,72,24,24,24,24,24,
24,4,4,4,16,16,16,32,32,1,3,1,1,9,9,9,9,9,9,9,9,9,2,3,3,3,3,3,3,3,3,3,3,18,3,
3,3,3,6,6,6,36,6,6,6,6,6,6,6,36,6,6,6,6,36,6,6,6,6,6,6,6,6,6,6,6,36,6,6,6,6,6,
6,6,6,24,24,24,24,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,3,3,3,1,9,9,9,9,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,7,12,
24,16,7,4,6,6,12,12,6,6,8,36,12,12,24,24,24,16,16,16,1,6,6,3,6,3,2,2,12,18,12,
12,12,12,12,6,12,12,6,12,12,24,12,24,24,8,4,16,16,16,1,3,9,3,6,3,6,3,6,3,6,12,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,8,8,16,1,6,3,3,3,6,6,3,6,6,3,3,6,
6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,12,6,4,12,12,16,3,2,3,9,
18,18,6,6,18,6,12,6,16,24,12,24,12,24,24,24,24,24,24,16,16,16,1,6,3,9,3,18,6,
3,6,3,9,6,6,8,8,6,6,6,6,6,6,18,6,6,6,6,6,24,12,24,12,24,12,24,12,24,24,24,24,
24,24,24,48,12,8,16,16,16,1,3,3,4,9,3,3,3,3,9,3,3,6,6,6,6,6,12,12,12,6,6,6,6,
6,6,6,6,12,6,6,6,6,6,12,12,12,12,24,24,24,24,12,4,4,8,8,8,16,1,3,3,3,3,6,3,3,
3,3,6,6,6,6,6,6,6,6,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,
7,8,36,16,7,28,12,18,18,8,36,36,36,24,16,32,32,1,14,9,9,2,2,18,36,6,36,36,6,
12,12,72,24,24,8,4,16,16,16,1,3,9,9,9,9,9,18,18,18,6,6,6,6,12,12,12,12,8,4,8,
8,8,8,8,16,3,6,1,9,9,18,3,3,3,6,6,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[
1,9,6,12,12,24,16,3,2,3,9,16,6,18,18,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,32,48,3,6,9,3,12,6,6,6,6,6,6,6,8,8,6,12,6,12,12,12,6,6,12,12,24,12,12,12,
24,24,24,24,12,24,24,24,24,24,24,24,24,48,12,8,16,16,16,1,1,3,3,3,6,6,3,3,6,6,
3,3,6,6,12,6,6,6,6,6,12,6,12,6,6,6,12,6,6,6,12,12,6,6,6,6,12,12,12,12,24,24,
24,24,8,12,8,8,16,16,1,2,3,3,3,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,1,4,4,
4,8,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,7,8,6,30,12,16,7,28,4,3,3,12,12,6,6,
12,6,12,12,4,24,24,12,12,12,12,12,12,12,24,24,12,12,16,32,32,1,14,1,1,3,3,3,6,
3,6,2,6,12,6,6,3,3,3,6,6,6,6,3,6,6,3,3,6,24,6,12,6,6,6,6,6,6,6,6,6,6,12,12,8,
8,24,24,48,24,24,24,24,24,24,24,24,4,4,4,16,16,16,1,1,1,6,3,3,3,3,3,3,3,3,3,6,
3,2,6,3,6,6,6,12,3,3,6,3,3,3,3,3,6,3,12,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,
6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,4,8,4,4,8,8,8,8,8,8,16,1,3,
3,3,3,3,6,3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,
1,1,1],[1,9,6,20,36,16,3,2,3,4,9,12,16,18,30,18,24,36,36,12,36,16,72,72,72,72,
72,72,80,5,6,9,9,12,18,18,6,18,18,24,24,24,24,36,36,12,36,36,12,12,48,16,72,
72,72,24,72,72,24,72,72,72,72,72,144,144,48,12,8,16,16,16,1,1,6,6,8,9,3,9,4,
12,6,18,18,6,6,6,24,12,36,36,36,36,36,12,12,12,24,72,72,72,24,24,24,144,20,24,
24,16,3,2,3,3,4,18,18,6,6,24,12,12,12,24,1,4,8,4,12,1,1,1,6,6,3,2,4,1,1,1,1,
1],[1,7,6,30,36,16,7,4,4,3,3,12,12,6,18,12,18,12,12,4,24,36,12,12,12,12,12,12,
24,24,12,12,16,32,32,1,1,1,3,9,9,6,6,3,6,2,6,3,3,6,6,6,6,3,6,6,3,6,6,3,3,6,24,
6,6,6,6,6,6,6,12,12,6,6,6,6,24,36,24,24,24,48,24,24,24,24,24,24,24,24,4,4,4,
16,16,16,1,1,1,3,3,3,3,6,3,3,9,3,3,3,6,6,2,3,3,3,3,3,3,3,3,6,6,6,6,3,3,6,3,3,
3,12,6,3,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,6,6,4,8,4,4,8,8,8,8,8,8,16,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,6,6,3,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,9,8,6,12,12,24,16,1,7,3,4,28,16,
6,18,12,12,12,12,12,12,16,24,24,24,48,48,48,48,48,48,32,1,3,14,3,3,3,4,12,4,6,
6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,48,48,4,4,4,16,16,
16,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,12,4,8,8,8,8,8,8,16,1,3,3,3,3,
4,4,4,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,4,8,8,8,
1,3,3,4,4,6,6,12,12,12,1,4,4,4,8,1,1,1,1,1],[1,9,6,24,24,16,1,7,3,12,12,12,24,
12,12,12,32,24,24,24,24,48,32,1,3,3,6,8,6,6,6,6,6,6,6,16,8,8,12,24,24,12,24,
24,12,12,24,24,12,24,24,24,24,24,8,4,16,16,16,2,1,2,3,3,6,6,6,6,3,3,3,6,6,3,6,
6,6,6,6,6,6,6,12,6,12,6,24,12,24,24,24,12,12,12,12,24,24,24,24,8,4,8,8,16,8,
16,3,4,3,3,3,3,6,3,6,3,6,12,6,6,6,6,6,6,12,12,12,12,12,12,24,4,4,4,8,8,8,8,1,
3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,9,6,12,12,24,16,1,7,3,16,6,18,12,12,12,12,
12,12,16,24,24,24,24,24,24,24,24,48,32,1,3,3,3,3,12,4,6,6,6,6,6,6,6,8,8,8,6,
12,6,12,6,6,12,12,12,12,12,12,12,12,24,24,12,24,12,12,24,24,24,24,24,48,48,4,
4,4,16,16,16,1,1,1,2,3,3,3,3,6,6,3,3,6,6,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,12,6,6,
6,6,6,12,12,12,6,12,6,6,6,6,24,12,24,12,12,12,12,12,12,12,4,12,4,8,8,8,8,8,8,
16,3,3,3,4,3,3,3,3,3,3,3,6,3,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,
4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,13,18,12,12,16,3,
2,9,15,16,6,18,42,24,24,12,60,12,24,24,24,24,16,16,16,1,3,6,6,9,15,3,6,6,6,6,
24,12,6,6,8,24,32,12,12,12,24,24,12,24,48,12,24,24,12,24,24,48,24,8,12,16,16,
16,1,4,3,3,3,3,9,12,6,6,6,6,6,12,3,12,6,6,6,12,6,6,12,12,6,12,12,6,12,6,12,6,
12,6,24,24,24,24,12,4,4,8,8,8,16,1,3,3,3,6,3,3,6,3,6,3,6,3,6,12,6,6,12,6,6,12,
1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,21,42,24,16,7,14,21,63,126,
168,12,12,252,24,24,48,48,48,32,3,42,42,48,63,63,6,6,126,168,168,168,12,12,12,
12,12,504,24,24,24,24,24,24,48,48,48,48,96,8,12,16,16,16,7,14,21,3,3,63,6,6,6,
126,6,6,168,12,12,12,12,12,12,12,12,12,252,24,24,24,24,24,24,24,24,48,48,48,
48,12,24,8,24,16,16,21,42,3,3,6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,48,1,8,
4,12,4,8,8,1,3,3,6,6,12,12,3,2,4,8,3,1,1,1,1],[1,13,8,18,24,16,3,2,9,15,12,28,
12,42,24,12,24,60,24,24,24,24,24,16,32,32,1,6,6,14,9,15,6,12,12,6,18,6,6,6,6,
6,8,24,32,12,36,12,12,36,48,36,24,24,12,24,24,24,24,48,8,12,16,16,16,1,1,3,3,
3,3,3,3,6,6,6,6,6,6,18,6,12,6,18,9,6,6,12,6,12,6,6,12,12,12,6,12,18,6,12,6,24,
24,24,24,8,4,8,8,16,8,16,1,3,2,3,3,3,6,6,6,6,6,3,6,6,3,6,6,12,6,6,6,6,12,12,1,
4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,13,8,18,12,12,24,16,3,2,9,15,12,
28,6,18,42,24,24,12,12,12,60,12,24,24,24,48,48,48,24,16,16,16,32,32,1,3,6,6,
14,9,15,3,12,6,6,6,6,6,6,18,12,6,6,8,24,32,12,12,12,12,12,12,12,36,12,12,12,
12,12,12,24,12,24,12,24,24,48,12,24,24,24,12,24,24,24,24,24,24,48,24,24,48,8,
12,16,16,16,32,32,1,1,3,3,3,3,3,3,3,6,9,6,6,6,6,18,6,12,6,6,18,6,3,6,6,12,6,6,
6,6,6,6,6,6,12,12,6,12,12,6,12,12,12,6,6,12,6,12,24,12,12,24,24,24,24,24,12,
24,24,12,24,24,24,24,24,24,12,4,4,8,8,8,8,8,16,16,1,3,3,2,3,3,3,6,3,3,6,3,6,6,
6,3,6,3,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,24,1,4,4,4,8,8,8,8,1,3,3,3,3,3,
3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,9,6,12,36,24,16,3,2,3,4,9,12,18,18,18,
24,36,36,12,36,12,72,72,72,72,72,72,24,24,24,24,24,24,32,48,3,6,9,9,18,18,18,
18,24,24,24,24,36,36,6,6,12,6,6,36,6,36,6,48,72,72,12,72,12,72,72,12,12,72,12,
72,12,72,72,72,24,24,24,24,144,24,24,24,24,144,24,24,48,48,48,12,8,16,16,16,1,
6,6,8,9,9,12,18,18,3,3,24,6,6,6,6,36,36,36,6,36,6,6,36,6,6,6,6,6,6,6,6,12,12,
12,12,12,72,12,72,72,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
144,8,12,24,24,16,16,3,18,3,18,3,3,3,24,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,24,24,24,24,1,8,4,4,12,8,8,1,3,3,3,3,3,3,12,12,3,2,4,8,3,1,1,1,1],[1,9,
6,24,48,16,1,7,6,3,6,16,12,24,12,12,30,42,24,24,12,12,24,16,24,48,36,60,72,48,
24,16,48,48,1,3,3,3,3,12,4,12,6,6,6,6,12,6,8,12,12,8,8,12,30,18,12,12,6,24,18,
12,12,24,24,24,12,24,12,12,12,36,48,12,24,36,12,12,24,36,12,24,24,24,48,24,48,
72,24,48,4,4,4,16,48,48,1,1,1,2,3,3,3,3,3,6,6,6,3,6,3,9,6,6,6,6,12,6,6,6,6,6,
6,12,6,6,6,12,12,12,12,6,6,6,6,6,12,24,12,36,24,12,12,12,24,12,12,36,24,24,24,
24,24,4,4,4,4,4,12,12,4,4,16,8,8,8,8,8,3,3,3,3,4,6,3,3,3,3,6,3,6,3,3,6,6,6,6,
6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,4,4,12,12,4,4,4,4,4,8,8,8,8,8,1,3,3,3,3,3,3,
6,6,6,6,1,4,4,4,3,1,1,1,1],[1,13,18,24,24,16,3,2,9,15,16,12,42,24,12,12,24,12,
60,24,24,24,24,48,24,16,32,32,1,6,6,9,15,6,6,12,6,6,24,6,6,6,6,6,8,24,32,12,
12,12,12,12,12,36,48,36,24,12,24,24,24,24,24,24,24,24,48,48,8,12,16,16,16,1,4,
3,3,3,3,3,3,3,12,6,6,6,12,6,9,6,6,12,6,6,6,12,6,12,12,12,12,6,12,12,18,6,12,
12,6,12,12,12,12,24,24,24,24,8,4,8,8,8,16,16,16,1,3,3,6,6,6,3,6,6,6,6,3,6,6,6,
6,6,6,12,6,6,6,6,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,9,6,12,
36,24,16,3,2,3,4,9,12,18,18,18,24,36,36,12,36,12,72,72,72,72,72,72,24,24,24,
24,24,24,48,32,3,6,9,9,18,18,18,18,24,24,24,24,36,36,6,6,12,6,6,36,6,36,6,48,
72,72,12,72,12,72,72,12,12,72,12,72,12,72,72,72,24,24,24,24,144,24,24,24,24,
144,24,24,48,48,48,4,4,12,16,16,16,1,6,6,8,9,9,12,18,18,3,3,24,6,6,6,6,36,36,
36,6,36,6,6,36,6,6,6,6,6,6,6,6,12,12,12,12,12,72,12,72,72,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,24,24,24,24,144,12,12,12,8,8,24,8,16,3,18,3,18,3,3,3,
24,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,1,4,4,4,12,4,4,4,4,4,
1,3,3,3,3,3,3,12,12,3,2,4,4,4,3,1,1,1,1],[1,21,42,24,16,7,14,21,63,126,168,12,
12,252,24,24,48,48,48,32,3,42,42,48,63,63,6,6,126,168,168,168,12,12,12,12,12,
504,24,24,24,24,24,24,48,48,48,48,96,4,4,12,16,16,16,7,14,21,3,3,63,6,6,6,126,
6,6,168,12,12,12,12,12,12,12,12,12,252,24,24,24,24,24,24,24,24,48,48,48,48,12,
12,12,8,24,8,8,16,21,42,3,3,6,6,6,6,6,12,12,12,12,12,12,24,24,24,24,48,1,4,4,
4,12,4,4,4,4,4,1,3,3,6,6,12,12,3,2,4,4,4,3,1,1,1,1],[1,9,6,24,16,3,2,3,9,18,
12,12,12,12,24,24,48,32,6,9,6,6,6,6,6,6,6,12,6,12,12,12,12,12,12,24,48,24,24,
4,16,16,16,1,3,3,3,3,6,6,6,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,8,16,3,
3,3,4,6,6,6,6,6,12,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,9,8,6,16,1,7,3,4,28,
12,12,12,12,24,48,32,1,14,3,3,4,6,6,6,8,8,8,12,12,24,24,4,16,16,16,1,1,1,2,2,
3,6,6,3,6,6,6,6,6,6,6,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,
3,12,12,24,16,1,4,16,18,12,18,18,12,12,24,24,24,24,48,32,3,3,12,9,12,12,6,6,
36,12,6,12,6,6,6,12,12,12,12,12,24,48,24,4,16,16,16,16,1,1,3,3,9,9,9,6,6,6,6,
12,12,6,6,12,12,12,12,12,12,12,8,16,16,3,3,9,3,3,3,6,3,6,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,3,2,4,3,1,1,1,1],[1,7,8,36,16,7,28,4,18,18,24,36,36,12,24,16,32,32,
1,14,9,9,6,6,18,36,18,12,12,18,12,12,72,24,24,4,16,16,16,16,1,1,9,3,3,3,9,18,
6,18,6,18,18,6,12,12,12,12,4,8,8,16,16,1,2,3,3,9,6,3,3,9,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,1,2,4,2,3,1,1,1,1],[1,3,12,12,24,16,1,4,6,12,12,12,18,6,16,12,12,24,
24,24,24,48,32,3,3,4,3,6,8,4,12,8,6,6,6,12,6,6,12,6,12,12,24,12,12,12,12,24,
48,24,4,4,16,16,16,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,
4,12,8,8,8,4,16,8,3,3,3,6,6,3,3,3,3,6,6,6,6,6,4,4,4,4,8,4,4,4,4,4,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,3,12,12,24,16,1,4,6,12,12,12,18,6,12,12,24,24,24,24,48,32,3,
3,3,6,12,6,6,12,6,12,12,6,6,12,6,12,12,24,12,12,12,12,24,24,4,16,16,16,1,1,3,
3,3,3,3,6,6,6,6,6,6,6,12,12,6,6,12,12,12,12,12,12,12,8,16,1,2,3,3,6,6,3,3,3,3,
6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,7,8,18,18,36,16,7,2,28,
2,12,9,9,6,6,18,18,18,12,12,36,36,12,12,12,24,72,24,72,36,36,16,16,16,32,32,1,
14,3,3,9,9,9,9,6,6,6,18,9,9,6,6,9,18,18,18,9,18,9,9,18,8,8,12,6,36,6,6,18,18,
6,18,18,18,18,18,36,36,24,24,12,72,24,12,12,12,12,12,12,24,24,24,24,24,24,24,
24,4,8,16,16,16,8,32,32,1,1,3,3,9,3,9,9,9,3,3,9,9,6,9,9,3,9,9,3,3,9,9,3,6,9,9,
9,9,6,18,18,12,6,6,6,6,18,6,18,12,6,6,6,6,36,6,6,6,6,6,6,6,6,18,18,18,36,6,18,
18,6,18,18,18,18,24,24,24,24,4,4,4,8,8,8,8,16,8,8,8,8,1,1,1,3,3,9,3,3,3,3,3,3,
3,3,3,3,3,9,9,3,3,3,3,3,3,9,3,3,9,3,3,3,3,9,3,6,6,18,6,6,18,6,6,6,6,1,4,4,4,8,
8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,3,
12,12,24,16,1,4,16,18,12,18,18,12,12,24,24,24,24,48,32,3,3,12,9,12,12,6,6,36,
12,6,12,6,6,6,12,12,12,12,12,24,48,24,4,4,16,16,16,1,1,3,3,9,9,9,6,6,6,6,12,
12,6,6,12,12,12,12,12,12,12,12,12,8,16,8,3,3,9,3,3,3,6,3,6,6,6,6,6,4,4,4,4,4,
4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,12,12,24,16,1,4,16,18,12,18,18,12,12,
24,24,24,24,32,48,3,3,12,9,12,12,6,6,36,12,6,12,6,6,6,12,12,12,12,12,24,48,24,
4,16,16,16,16,1,1,3,3,9,9,9,6,6,6,6,12,12,6,6,12,12,12,12,12,12,12,8,16,16,3,
3,9,3,3,3,6,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,21,42,7,14,
21,63,126,168,252,64,3,42,42,48,63,63,126,168,168,168,504,7,14,21,63,126,168,
252,21,42,24,48,1,1],[1,21,1,28,56,7,7,21,28,21,8,21,28,7,14,7,7,7,14,21,28,8,
8,16,7,7,21,7,7,8,7,7,1,1],[1,21,42,20,60,7,14,21,4,63,12,16,30,30,126,24,168,
36,36,60,60,252,60,16,48,120,120,72,72,120,120,48,3,5,42,42,48,63,63,15,12,12,
30,30,30,30,30,30,30,30,30,30,126,24,24,24,24,40,168,24,168,168,40,36,36,36,
60,36,60,36,60,36,60,48,16,120,120,72,72,120,72,504,24,120,24,72,72,72,72,120,
120,120,120,72,72,240,48,240,144,48,144,48,48,96,7,1,14,3,21,6,6,6,6,6,8,15,
15,9,15,9,63,15,4,12,18,30,18,18,30,18,30,30,30,18,126,18,18,30,18,18,18,18,
30,30,30,30,30,30,18,24,168,60,36,12,36,36,60,36,12,60,36,36,60,36,12,60,60,
36,60,60,36,60,36,36,12,60,60,60,12,60,36,60,252,60,72,72,24,24,24,24,72,24,
24,24,72,72,72,72,72,24,24,72,24,48,240,240,48,48,240,240,48,144,21,5,6,42,6,
10,6,10,6,9,9,15,15,9,9,15,15,15,12,12,4,12,18,18,18,18,18,18,18,30,18,18,30,
18,18,18,30,18,30,18,18,18,18,18,18,30,30,6,30,30,18,18,18,18,18,18,18,6,24,
24,12,12,36,60,36,36,36,12,12,36,36,36,12,12,36,36,36,36,60,36,36,60,12,36,36,
36,12,12,36,60,12,36,12,12,12,36,36,12,60,60,12,36,12,36,36,60,60,24,24,24,24,
120,24,24,24,24,24,48,1,1,2,3,3,3,1,6,6,6,6,15,3,9,9,9,15,9,9,9,18,18,6,18,18,
6,30,30,6,18,30,18,18,18,6,6,6,18,6,6,18,18,6,18,6,6,18,6,18,30,18,36,12,12,
36,12,36,12,12,12,36,12,12,36,36,36,36,12,12,12,12,5,3,1,6,9,3,3,3,3,3,9,9,6,
18,6,6,6,6,6,6,18,12,1,1,1,3,3,3,3,1],[1,21,8,42,12,36,24,7,14,21,4,63,28,28,
12,18,18,126,24,168,36,36,36,12,36,12,252,36,72,24,72,24,72,72,72,72,48,48,48,
48,48,48,3,3,42,42,14,48,63,63,9,28,18,6,18,18,6,18,18,42,18,18,18,18,18,126,
24,24,24,168,168,168,24,12,36,12,36,12,12,12,12,12,12,12,12,12,84,12,12,36,36,
12,36,12,36,12,36,12,36,48,16,16,72,72,72,72,72,24,24,504,72,24,72,72,24,24,
24,72,24,24,72,24,24,72,24,24,24,72,72,72,24,48,48,144,48,144,48,48,144,48,48,
48,48,144,48,48,48,48,48,48,96,1,7,14,7,21,6,6,8,3,9,9,9,3,63,9,12,6,18,42,18,
6,6,18,18,6,6,18,18,42,18,18,6,126,18,18,18,6,6,6,6,6,6,18,6,42,6,18,6,6,18,
18,6,6,18,18,18,6,42,6,6,24,168,12,12,12,12,12,36,12,12,12,12,12,12,36,12,36,
36,12,12,12,36,12,12,12,12,12,36,36,12,12,36,12,36,36,12,12,12,36,12,12,12,12,
36,36,12,36,12,12,12,36,36,36,36,36,12,12,12,12,252,12,36,12,12,24,24,24,24,
24,24,24,24,24,24,72,72,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,48,48,48,48,48,144,48,48,144,48,144,144,48,48,48,48,48,48,48,48,144,21,3,7,
42,2,6,6,6,6,2,14,3,9,9,3,9,9,9,21,4,6,6,18,6,18,6,18,6,42,6,6,6,18,6,6,6,6,6,
6,18,18,6,6,6,6,6,18,18,6,6,18,18,18,18,6,6,18,18,6,6,6,6,6,18,6,6,18,6,6,6,6,
6,6,18,6,6,6,6,6,6,18,6,6,6,6,6,24,24,12,12,12,12,12,12,12,12,12,12,36,12,12,
36,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,12,36,12,24,24,24,24,72,24,24,24,24,24,
24,24,24,24,24,48,1,1,7,7,2,6,2,3,3,9,3,3,3,3,9,3,9,3,6,6,18,6,6,6,6,6,18,6,
18,18,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,
6,18,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,3,3,2,
3,3,3,3,3,3,9,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,1,1,3,3,3,3,1],[1,21,8,42,
12,36,24,7,14,21,63,28,28,16,18,18,126,168,36,12,36,12,252,36,48,72,24,72,24,
72,72,48,48,48,48,48,48,3,3,42,42,14,48,63,63,9,28,12,12,18,6,18,18,6,18,18,
42,18,18,18,18,18,126,24,24,24,168,24,168,168,24,12,12,12,12,12,12,36,12,12,
12,84,12,12,36,12,36,12,12,12,36,12,36,12,36,72,72,72,72,24,504,72,24,24,24,
24,24,24,24,72,72,24,24,72,24,72,24,24,72,24,24,72,24,32,32,48,144,144,48,48,
48,48,48,48,48,48,48,96,96,1,7,1,14,7,3,21,6,6,6,3,9,9,9,9,9,3,63,9,4,4,4,4,
18,6,18,6,42,6,6,18,6,6,18,18,18,42,18,6,6,126,18,6,18,18,6,18,42,6,6,18,6,6,
18,18,18,6,18,18,6,42,18,6,8,168,8,12,12,12,12,12,36,12,12,12,36,12,12,12,36,
36,12,12,12,12,36,12,12,12,12,36,12,36,36,12,12,12,36,12,36,12,12,12,36,12,12,
36,12,36,36,36,12,12,12,12,36,36,36,36,12,36,12,12,12,36,12,12,12,12,12,12,
252,12,36,12,12,72,72,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,72,24,72,
24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,144,144,48,144,144,48,48,48,21,3,7,6,42,6,6,6,
14,9,3,9,9,9,3,9,9,9,9,9,21,4,12,4,12,12,6,18,6,18,18,18,42,6,18,6,6,6,6,18,
18,18,18,18,6,6,6,18,18,18,6,18,18,6,6,18,18,6,6,6,18,18,6,18,6,6,18,18,6,18,
6,6,6,18,6,6,8,12,12,12,36,12,36,36,12,36,12,12,12,36,12,36,12,12,36,12,12,36,
36,36,12,12,12,36,36,12,12,36,12,36,12,36,12,36,36,12,12,12,12,12,12,12,12,12,
12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,36,
12,12,12,12,12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,36,12,12,12,12,36,12,
12,36,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,1,2,3,3,7,3,7,6,6,6,3,9,3,3,9,3,3,9,9,3,9,3,3,3,9,9,3,4,4,4,4,18,6,18,6,6,
6,6,18,18,6,6,6,6,18,18,18,6,18,6,6,6,6,18,6,18,18,6,6,18,6,6,6,6,6,18,6,6,6,
6,6,6,18,6,18,6,36,36,12,12,12,12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,
12,36,12,36,36,12,12,12,36,12,12,12,12,12,12,12,12,12,24,24,1,1,3,1,2,6,3,9,3,
3,3,3,3,3,3,3,3,3,3,9,3,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,12,12,1,
3,3,3,3,3,3,6,6,1],[1,21,42,4,12,32,7,14,21,63,6,6,126,168,12,16,12,16,252,12,
16,24,32,24,32,24,24,48,64,16,16,64,16,16,3,1,42,42,48,63,63,3,6,8,6,6,8,6,6,
6,6,6,6,6,126,8,168,168,168,8,4,16,4,16,16,4,16,4,16,4,4,12,12,4,12,4,12,24,
24,24,8,504,24,24,8,24,8,8,8,8,8,8,32,24,32,8,24,32,32,24,32,8,32,24,16,64,48,
16,48,48,16,16,64,16,64,16,64,16,32,32,32,128,7,14,21,4,3,3,3,4,63,3,4,6,2,8,
8,6,8,6,6,6,2,126,6,2,2,2,2,2,2,6,8,6,6,2,2,6,2,6,6,2,8,168,16,4,4,4,4,16,12,
4,4,16,4,12,4,4,4,12,12,16,4,4,12,4,4,16,4,16,12,16,12,12,16,12,4,4,12,4,4,12,
12,12,4,12,12,12,12,12,4,12,4,16,4,4,252,4,12,4,8,8,32,24,24,8,32,32,32,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,32,32,32,8,8,8,32,8,8,8,16,16,64,16,16,16,48,16,48,64,
48,48,64,16,16,64,21,1,42,2,2,4,3,3,4,3,3,3,2,2,8,2,8,2,6,8,2,2,2,6,2,8,2,2,6,
6,6,6,2,6,6,2,2,6,2,2,2,8,6,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,16,16,4,4,12,
4,12,12,4,4,4,4,4,4,4,4,16,4,4,4,4,12,4,4,4,4,4,16,4,12,4,4,4,4,16,12,4,12,4,
4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,16,4,4,4,12,4,12,8,32,8,8,8,8,8,24,
8,24,32,8,8,32,8,24,8,8,8,32,8,64,1,1,1,3,1,4,3,1,1,3,1,1,4,2,2,2,2,6,6,2,2,2,
8,6,2,2,6,2,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,8,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,
16,4,4,4,4,4,4,4,4,4,16,4,8,8,8,8,8,8,1,1,1,3,3,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,8,18,12,20,24,3,2,9,15,12,28,16,10,18,42,
24,36,12,20,12,60,28,16,24,8,24,24,40,40,32,48,48,48,48,48,48,1,3,6,6,14,9,15,
5,12,12,4,10,6,10,14,6,10,14,18,18,6,14,6,10,6,8,8,8,8,24,32,8,4,12,12,12,12,
12,20,12,12,12,36,12,12,12,12,12,12,12,12,20,12,12,12,20,16,24,8,24,24,48,16,
16,24,24,24,24,24,24,24,16,40,24,8,40,8,8,24,24,24,24,8,24,24,32,32,16,32,32,
96,48,16,16,16,16,48,48,16,16,16,32,32,1,1,1,3,1,3,2,3,5,3,3,7,5,3,3,5,4,4,4,
4,4,6,10,6,6,2,2,8,6,2,2,2,6,18,4,4,6,6,12,4,4,2,6,4,10,4,6,6,18,6,6,6,6,6,10,
6,6,6,6,2,6,6,6,6,8,8,4,4,12,4,4,12,4,12,12,8,12,4,4,4,12,8,12,4,12,12,12,12,
4,12,4,12,12,8,4,12,8,12,4,4,4,16,8,4,4,4,24,12,4,4,8,4,12,12,20,4,12,12,12,
20,4,20,8,4,12,20,12,12,12,8,12,4,12,12,4,12,12,12,8,12,12,8,24,24,8,8,16,16,
16,24,24,16,8,24,8,8,24,24,24,8,24,8,24,24,24,24,24,24,24,24,8,24,24,24,24,8,
8,24,24,8,8,24,24,24,24,24,8,24,24,8,24,24,24,24,24,24,16,16,16,16,16,32,16,
32,16,16,1,1,3,2,2,2,3,3,1,1,5,1,5,3,1,1,3,3,4,4,4,6,2,2,2,6,2,6,2,2,2,2,2,2,
4,4,2,2,2,2,6,2,2,6,2,4,2,2,6,4,6,6,2,2,2,2,2,6,2,6,2,2,6,4,2,4,6,6,8,8,4,4,4,
4,4,4,4,4,8,4,12,4,8,4,8,4,12,4,4,4,4,4,12,4,4,8,12,12,4,8,12,12,4,4,4,8,4,4,
12,12,12,4,12,4,4,4,12,12,4,4,12,4,4,4,8,4,4,4,12,4,8,4,4,4,4,12,12,12,12,4,4,
8,12,4,4,4,4,4,4,4,12,12,8,4,4,4,4,4,4,4,8,8,4,4,12,12,4,4,4,4,4,4,4,4,12,12,
8,8,8,8,24,8,8,8,8,24,8,24,8,24,24,8,24,8,8,24,24,8,24,24,8,24,24,1,1,1,2,1,2,
3,1,2,1,3,1,1,1,1,2,1,1,2,1,4,4,2,2,2,2,2,2,6,2,2,4,6,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,4,2,2,6,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,8,8,8,8,8,8,1,1,1,1,1,1,1,2,1,2,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,21,8,42,4,12,8,7,14,
21,63,28,28,6,6,126,168,12,4,12,4,252,12,16,24,8,24,8,24,24,16,16,48,16,16,16,
16,3,1,42,42,14,48,63,63,3,28,6,2,6,6,2,6,6,42,6,6,6,6,6,126,8,168,168,168,8,
4,4,4,4,4,4,4,4,84,4,12,4,12,4,4,12,4,12,24,24,24,8,8,504,24,24,24,8,8,8,8,24,
8,24,8,8,24,8,8,24,8,16,48,48,48,16,16,16,16,16,16,16,16,16,16,32,32,32,1,7,
14,7,21,1,3,3,3,1,63,3,4,2,6,42,2,2,6,2,2,6,6,42,6,2,126,6,2,2,42,2,6,2,2,6,6,
6,6,6,2,42,2,168,4,4,4,12,4,4,4,4,4,12,12,12,4,4,12,4,4,4,4,12,4,4,12,4,12,4,
12,4,4,12,4,4,12,4,12,4,12,4,12,12,12,12,12,12,4,4,4,4,252,12,4,4,8,8,24,24,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,48,48,16,16,16,48,
48,16,16,16,21,1,7,42,2,2,14,1,3,3,1,3,3,3,21,2,2,42,2,6,2,2,2,6,2,2,6,6,2,2,
2,6,6,2,2,6,2,6,6,2,2,2,2,2,2,2,6,2,2,4,4,4,12,4,4,4,4,12,4,4,4,4,12,4,12,12,
4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,12,12,4,4,4,
12,4,4,4,4,4,4,12,4,4,12,8,8,24,8,8,24,8,8,8,8,24,8,8,8,8,16,1,7,1,7,1,1,3,1,
3,1,1,3,1,1,1,2,2,2,6,6,2,2,6,6,2,2,2,2,6,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,3,3,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,18,12,52,16,3,2,9,4,15,16,12,26,18,
42,24,24,36,36,20,8,52,8,60,28,32,88,88,16,72,72,72,72,16,16,32,32,64,16,16,1,
3,6,6,9,15,13,8,18,4,18,14,4,10,6,24,10,22,6,22,10,6,16,24,24,8,24,8,24,32,24,
36,36,8,8,4,8,8,4,20,36,20,4,36,12,8,4,12,48,48,24,72,32,72,8,72,48,16,48,8,8,
8,8,72,72,8,8,40,16,8,72,40,32,16,88,16,72,72,72,16,16,64,32,64,16,16,144,16,
16,16,64,16,32,144,16,16,32,32,32,64,64,32,32,1,4,2,3,2,6,6,2,8,2,5,11,2,3,2,
3,9,12,10,2,2,12,18,18,8,10,10,4,6,2,12,6,6,10,2,4,6,4,2,6,4,6,6,6,2,6,10,12,
4,4,24,4,4,4,4,16,4,4,36,4,4,8,36,36,8,8,4,36,4,4,8,16,12,12,36,4,8,8,8,20,8,
12,4,16,8,12,12,8,12,8,12,12,12,8,12,4,24,4,16,4,4,8,12,16,4,32,8,16,16,24,16,
16,8,16,24,8,8,8,16,16,8,8,16,16,32,24,72,8,72,8,72,8,8,8,8,24,8,16,8,8,8,8,8,
8,8,8,16,16,16,32,16,16,16,16,64,16,16,16,48,32,16,32,16,64,48,16,32,16,144,1,
3,2,2,2,2,2,2,5,3,3,3,3,6,4,2,4,18,6,2,18,2,2,2,2,6,4,6,4,2,4,6,6,6,2,2,6,6,2,
4,4,2,4,4,6,8,2,2,8,6,2,4,24,8,4,8,4,8,8,16,12,4,8,12,4,4,8,8,4,12,8,4,4,4,4,
4,4,4,4,4,4,4,12,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,12,8,4,4,4,12,12,4,4,12,4,12,4,
12,4,4,8,4,4,4,12,8,12,8,4,8,4,4,8,4,4,4,4,12,4,16,8,16,8,8,8,8,8,8,24,8,24,8,
16,32,8,16,8,16,8,8,8,16,32,16,16,16,1,1,1,1,1,2,1,2,3,1,1,2,3,3,2,2,2,2,6,2,
6,2,4,6,6,4,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,8,2,2,2,6,6,2,4,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,8,8,8,8,8,8,8,1,1,1,3,1,2,2,1,3,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,18,20,44,3,2,9,4,15,16,12,16,
22,30,42,24,24,36,36,28,44,60,20,16,16,72,16,72,72,72,88,88,16,64,1,5,6,6,9,
15,11,12,4,22,22,10,6,10,24,14,18,10,18,6,6,8,24,24,24,8,8,24,32,24,36,8,36,
20,20,36,20,36,28,12,28,48,16,32,40,72,8,72,72,48,8,32,24,72,72,16,40,16,88,
24,32,72,72,72,72,64,16,64,32,144,32,16,64,16,144,48,16,32,1,1,4,1,3,6,2,6,8,
3,9,3,5,5,3,11,4,12,4,6,12,18,4,4,18,4,4,2,6,10,6,12,6,6,6,4,10,6,6,2,14,10,
10,10,6,12,6,24,8,4,16,8,12,36,8,8,4,36,36,4,8,36,8,12,16,8,12,36,4,12,8,12,8,
8,16,12,12,20,12,20,12,12,12,12,4,12,20,16,8,16,12,16,8,24,24,8,8,8,24,24,24,
8,8,8,8,8,72,72,72,24,24,8,8,24,16,48,64,16,16,16,48,64,16,16,144,1,3,2,2,2,2,
3,1,3,3,2,5,3,3,3,5,6,4,4,2,18,6,2,18,6,2,4,2,6,2,2,2,2,6,6,2,4,6,6,4,2,4,6,2,
6,6,2,4,4,8,6,2,2,24,4,4,4,12,4,4,12,4,12,12,4,8,4,12,4,4,4,16,12,8,4,8,4,8,4,
8,4,4,4,12,4,12,16,12,16,12,12,4,4,4,8,4,4,12,4,12,4,8,4,8,4,12,4,8,8,16,24,
24,8,8,24,24,8,8,8,16,1,1,1,1,1,1,1,1,1,2,3,2,1,3,1,1,3,2,2,6,6,2,4,6,6,2,6,2,
2,6,2,2,4,2,2,2,2,4,4,2,2,2,8,2,2,6,2,2,2,6,6,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,
4,4,1,1,1,1,3,2,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,
8,18,4,28,8,3,2,9,15,12,28,14,6,42,24,28,4,28,4,60,36,16,32,40,24,40,8,24,24,
16,16,16,16,16,16,48,1,1,6,6,14,9,15,7,12,8,6,2,6,18,2,14,10,18,14,10,10,10,
14,6,16,8,8,8,24,32,8,12,4,4,4,4,4,4,4,36,4,12,4,12,4,4,4,4,8,4,32,8,32,24,8,
8,48,8,32,24,8,8,8,40,16,24,24,8,24,24,8,40,8,8,24,8,32,16,96,16,16,16,16,16,
48,48,16,32,32,32,1,1,3,2,3,2,2,1,7,5,2,5,1,3,3,4,10,2,6,6,6,6,4,2,6,8,6,6,18,
8,4,2,12,4,4,6,2,2,4,4,2,4,18,2,10,2,2,2,2,2,2,6,2,6,4,2,4,12,4,12,4,12,12,4,
4,4,12,8,12,4,4,4,12,4,4,4,8,12,12,4,4,4,4,4,12,4,16,8,4,12,24,4,4,4,8,4,4,8,
12,12,4,20,4,20,4,4,16,4,12,4,4,12,8,4,4,8,32,8,8,16,8,8,8,16,8,8,8,8,32,24,8,
8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,16,32,16,16,16,16,32,16,16,16,1,1,3,2,2,2,1,
2,3,5,3,1,1,1,3,4,4,2,2,2,6,2,6,2,6,2,2,4,4,4,6,2,2,4,6,2,2,2,6,2,6,2,2,6,2,4,
6,2,2,2,8,2,2,2,6,4,2,2,2,2,8,4,4,8,4,8,12,4,4,4,8,4,8,8,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,8,4,4,8,4,12,4,4,4,12,4,4,4,4,4,4,4,12,
12,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,
1,3,2,1,1,1,3,1,2,1,1,1,1,2,2,1,4,4,2,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
1,1,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,
8,18,20,44,40,3,2,9,4,15,12,28,12,16,22,30,42,24,24,36,36,28,20,44,20,60,20,
16,16,72,24,72,40,72,72,88,88,16,16,16,80,48,80,48,80,16,48,48,1,5,6,6,14,9,
15,11,12,12,4,22,10,22,10,10,6,10,18,14,18,10,18,6,6,8,24,24,24,8,8,24,32,24,
12,36,12,36,20,12,20,20,20,12,20,20,20,12,20,36,20,12,12,20,36,20,20,20,12,36,
20,28,20,12,12,28,48,16,16,16,32,40,72,8,72,8,72,40,24,48,8,32,24,24,24,24,8,
24,72,72,40,40,24,24,16,40,24,24,88,24,24,24,8,40,72,40,24,24,72,72,72,40,32,
32,16,48,16,64,48,16,64,16,80,16,48,144,16,48,48,48,16,16,16,48,16,144,48,48,
16,16,48,16,48,48,48,32,32,32,32,32,32,32,32,32,32,32,1,1,1,3,1,3,6,2,6,8,5,3,
9,3,5,5,5,3,11,4,4,4,4,12,4,4,10,6,6,6,18,6,6,18,4,10,6,2,6,10,18,6,6,10,12,6,
6,6,6,6,6,6,10,4,6,10,6,10,6,18,6,10,2,10,10,14,10,6,6,10,6,10,6,10,6,6,6,10,
24,8,8,12,12,12,12,4,12,12,4,12,12,4,12,4,12,12,8,4,20,12,36,4,4,12,4,36,36,4,
20,12,12,12,12,36,12,4,12,12,12,12,12,12,4,8,12,36,4,20,4,12,12,12,12,8,12,4,
12,12,12,16,12,12,20,12,12,12,12,20,12,20,12,12,12,12,20,12,12,12,12,4,12,12,
20,12,12,12,16,12,12,4,4,12,12,12,12,12,12,12,16,4,20,12,12,8,8,8,24,24,8,8,8,
8,40,24,24,24,8,24,8,8,8,24,8,8,24,8,8,8,24,8,40,24,8,24,8,8,24,8,24,72,8,72,
24,72,8,8,24,8,8,8,8,40,8,8,24,8,24,8,8,8,24,24,8,40,40,24,8,8,24,8,8,8,24,24,
24,40,8,24,40,24,24,24,24,8,8,24,24,24,24,40,24,8,24,40,8,8,24,8,24,40,24,8,
24,24,24,24,16,48,16,16,16,48,48,16,48,16,16,16,48,16,48,48,16,16,64,16,16,16,
16,48,64,16,48,48,48,48,16,48,16,48,144,32,32,32,32,1,3,3,2,2,2,2,2,2,2,3,5,1,
3,3,3,5,3,3,3,5,3,4,4,4,4,4,6,6,2,6,18,6,6,6,2,2,18,6,2,6,6,6,6,6,6,6,6,6,6,2,
6,2,6,2,6,2,6,6,6,6,6,2,2,10,6,6,6,2,4,6,6,6,6,2,4,10,6,10,6,6,6,2,6,6,6,6,6,
6,6,6,6,6,2,10,6,6,6,2,2,6,6,2,6,6,2,2,10,6,10,24,8,4,4,12,4,12,12,4,12,4,4,
12,12,12,12,4,12,12,12,12,4,12,12,4,4,12,12,4,4,12,4,12,4,12,8,4,4,4,12,12,4,
12,12,4,4,4,4,4,12,12,4,4,12,4,12,4,12,4,4,4,4,4,12,4,4,16,12,12,12,12,12,8,
12,12,4,4,4,4,4,4,8,4,12,4,12,12,4,12,4,12,12,12,12,12,20,12,12,4,12,12,4,4,
12,12,4,4,12,4,12,4,4,4,4,4,12,12,4,12,12,4,4,4,4,12,4,12,12,4,12,12,12,4,12,
4,12,12,4,12,12,12,12,12,4,12,4,4,4,12,4,4,12,4,12,12,4,12,12,4,4,20,4,4,12,
12,4,12,4,12,4,4,12,4,12,12,4,12,4,4,12,12,4,12,12,4,12,12,8,12,4,12,12,12,12,
12,4,4,12,12,12,4,12,12,4,12,12,4,12,12,4,12,12,4,12,4,4,12,8,8,8,8,8,8,8,8,8,
8,24,8,8,8,24,8,24,8,8,24,24,8,8,8,8,24,8,8,8,8,8,8,8,24,24,24,8,8,8,8,8,8,24,
24,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,24,8,8,40,8,8,8,8,24,8,8,24,24,8,8,24,8,8,
8,24,16,16,16,16,16,1,1,1,1,1,2,2,3,1,3,3,3,1,1,5,3,1,3,3,1,1,1,1,3,3,4,4,2,2,
6,2,2,2,6,2,2,2,6,6,6,6,2,6,6,2,2,6,6,2,6,6,6,6,6,2,2,6,6,2,6,6,2,6,2,6,2,2,2,
2,2,6,6,2,6,2,2,6,2,6,2,2,2,2,2,2,4,2,6,2,6,6,2,6,6,2,2,2,2,6,2,2,2,2,2,6,2,6,
2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,6,2,2,6,2,4,4,12,4,4,4,4,4,12,4,4,12,4,
4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,12,12,12,12,12,12,4,4,4,4,4,12,12,12,12,4,4,
4,4,4,12,12,12,4,12,4,4,12,4,12,12,4,12,4,4,4,12,12,12,4,4,12,12,4,4,12,4,12,
12,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,
12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,
2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,12,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,21,42,12,36,16,7,14,
21,63,16,18,18,126,168,36,8,36,8,252,36,48,72,16,72,16,72,72,16,16,32,16,16,
32,3,3,42,42,48,63,63,9,12,12,18,4,18,18,4,18,18,18,18,18,18,18,126,24,24,24,
168,24,168,168,24,4,8,4,8,8,36,8,4,8,4,36,36,36,36,36,72,72,72,72,8,8,504,72,
8,8,72,72,16,72,16,8,72,16,16,72,16,8,16,72,16,32,144,16,144,16,16,32,16,16,
32,16,32,16,32,32,64,7,1,14,3,21,6,6,6,2,9,9,9,9,9,2,63,9,18,18,4,4,18,4,18,
18,18,18,126,18,2,2,2,2,18,2,18,18,18,4,18,18,2,2,18,18,18,18,2,4,168,8,4,4,8,
36,4,4,4,8,4,36,4,4,36,36,8,4,36,4,4,8,36,4,8,36,36,4,8,36,8,36,4,36,4,4,36,
36,36,36,4,36,36,36,36,36,36,8,4,4,252,4,36,4,4,72,72,16,16,16,8,72,8,16,72,8,
72,8,8,8,72,8,8,16,16,16,8,8,16,8,8,8,16,32,16,16,16,144,16,16,144,16,16,32,
16,144,144,32,16,16,16,32,21,3,6,42,6,6,6,9,2,9,9,9,2,9,9,9,9,9,12,12,12,2,18,
4,18,2,18,18,2,4,2,18,4,2,2,18,18,18,18,18,2,4,2,18,18,18,18,18,18,18,2,18,2,
2,18,2,18,18,18,18,2,4,18,2,4,4,4,4,36,36,36,36,36,4,4,36,4,4,4,4,36,8,8,36,
36,36,4,36,36,4,36,36,36,4,36,36,4,4,4,4,4,4,8,4,4,36,4,36,4,8,4,4,4,4,36,36,
8,4,36,4,4,36,4,4,4,4,4,4,4,36,4,4,36,4,4,4,8,4,4,4,4,36,4,36,8,8,16,8,8,8,72,
8,8,8,8,16,8,8,16,8,8,8,8,8,8,16,8,32,16,1,2,3,3,3,6,6,6,1,1,9,2,9,1,9,9,9,1,
2,9,9,2,2,18,2,18,2,2,2,18,18,2,2,4,18,2,18,18,18,2,2,2,18,2,18,2,18,2,18,2,2,
2,18,4,2,18,18,2,36,4,36,4,4,36,4,4,4,4,4,4,4,4,4,4,4,4,36,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,4,36,36,36,4,4,4,4,36,4,4,4,4,4,4,4,8,4,3,6,1,9,1,1,1,1,2,1,9,1,1,
18,2,2,2,2,2,2,2,2,2,2,2,2,18,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,
2,2,1],[1,13,18,4,28,32,3,2,9,15,16,14,6,42,24,28,16,28,16,60,36,16,32,40,16,
40,32,24,24,16,64,16,16,32,16,16,1,1,6,6,9,15,7,8,6,8,6,18,8,14,10,24,14,10,
10,10,14,6,16,8,8,8,24,32,8,4,8,4,16,16,4,16,4,16,4,4,12,12,4,4,8,4,4,32,8,32,
24,8,48,8,32,8,24,8,8,8,8,8,40,16,8,16,24,16,8,24,16,32,40,32,8,16,24,16,16,
32,16,16,96,16,16,32,16,16,32,16,16,32,16,32,64,32,32,1,4,2,3,2,2,4,7,5,2,5,4,
3,3,4,10,6,2,12,4,4,4,4,8,6,6,8,4,2,12,4,4,6,2,2,2,2,2,2,4,4,4,2,10,8,2,2,2,2,
2,2,2,6,12,4,2,8,8,4,4,4,4,8,12,4,4,8,4,4,12,4,4,4,8,12,4,16,4,4,12,4,4,8,8,4,
8,12,4,16,4,8,12,8,16,8,4,4,24,4,4,8,4,8,8,4,8,12,4,20,4,20,4,4,4,16,4,8,4,4,
8,12,4,8,4,32,16,16,8,8,8,8,8,8,8,8,8,16,32,24,8,8,8,8,8,8,8,8,8,24,8,16,8,8,
8,8,16,16,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,32,16,16,16,16,32,16,16,16,16,
16,1,1,2,2,4,2,3,5,2,1,1,1,6,4,2,2,4,4,2,2,4,2,4,2,2,2,2,2,4,4,4,6,2,4,4,2,2,
4,6,2,2,6,2,6,4,2,2,4,2,2,4,4,8,2,2,2,4,4,2,8,8,4,4,4,8,8,12,4,8,4,4,4,8,8,8,
4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,8,8,4,4,
4,4,4,12,4,4,8,4,4,4,4,4,4,4,4,8,4,4,12,4,4,4,4,4,4,4,8,12,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,8,8,8,8,8,8,8,8,8,
16,1,1,1,2,1,2,1,2,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,4,2,2,2,6,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,2,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,8,18,12,52,24,3,2,9,4,15,12,28,12,
26,18,42,24,24,36,36,20,12,52,12,60,28,32,88,40,88,24,72,72,72,72,32,48,48,48,
48,48,16,1,3,6,6,14,9,15,13,12,8,18,6,18,14,6,10,6,18,10,22,6,22,10,6,16,24,
24,8,24,8,24,32,24,12,36,20,36,12,12,12,12,12,12,12,12,12,36,12,12,20,36,12,
20,12,36,12,12,12,8,12,48,16,16,48,24,72,32,72,72,24,24,48,16,48,24,72,72,24,
24,40,16,40,72,24,24,40,8,24,88,24,24,24,72,72,72,24,48,64,48,32,64,48,48,144,
48,48,16,16,80,32,144,48,48,32,48,48,48,32,64,1,1,3,2,3,2,6,6,2,8,3,5,11,2,3,
3,3,9,12,10,6,2,6,18,10,10,18,6,10,8,10,10,18,4,6,6,12,6,6,10,6,6,6,6,6,2,6,4,
6,6,4,18,6,6,6,6,6,6,6,6,6,6,10,6,6,4,6,6,24,12,20,12,12,12,4,12,12,20,4,12,4,
12,36,12,8,36,36,8,12,12,12,36,12,12,12,8,12,4,12,12,36,12,8,12,20,12,8,12,12,
20,12,16,12,12,12,12,12,12,12,12,8,20,12,12,12,12,12,8,12,24,12,4,12,12,12,12,
16,12,12,32,8,8,16,16,24,24,24,16,24,8,16,16,24,8,16,32,24,24,72,72,72,24,24,
24,24,24,24,8,24,8,24,24,24,24,24,24,24,24,24,8,24,48,32,48,48,48,16,64,48,48,
16,48,32,32,16,16,64,48,48,48,16,48,16,48,32,48,48,144,1,3,3,2,2,2,2,2,2,2,3,
2,5,3,5,3,3,3,3,4,4,6,4,6,18,6,6,6,18,2,6,6,6,6,6,10,6,6,6,10,6,2,2,6,4,6,6,6,
6,6,6,4,6,6,6,6,6,2,2,6,6,10,6,2,6,6,6,6,6,6,6,4,6,6,10,6,2,6,6,6,8,6,6,2,6,6,
2,6,6,6,6,4,6,6,6,24,8,12,12,12,12,4,12,12,4,12,12,8,8,12,12,16,12,12,4,12,4,
12,8,12,4,12,12,4,8,12,12,12,12,12,12,4,12,4,4,4,12,12,12,12,4,4,4,4,4,12,12,
12,12,12,12,12,12,12,12,12,4,4,12,12,4,4,12,12,12,8,12,12,12,12,12,12,12,20,4,
12,4,12,12,12,12,12,12,12,4,12,4,12,12,4,12,12,8,12,12,12,4,12,12,12,12,8,12,
12,4,12,4,12,12,12,8,12,12,12,4,12,12,12,12,12,12,12,12,12,4,12,16,8,16,8,8,8,
8,24,24,24,24,8,8,8,24,8,8,8,8,16,8,16,8,8,24,24,32,16,1,1,1,2,2,3,5,3,2,3,3,
3,1,2,3,3,1,3,3,4,4,6,2,6,2,6,6,6,2,6,6,6,2,6,6,2,6,6,2,6,6,6,6,2,2,2,4,6,6,2,
2,2,2,6,6,4,6,6,2,6,2,6,6,2,6,6,6,4,2,6,6,6,2,6,6,6,6,4,4,12,12,12,4,4,12,4,4,
12,12,12,4,4,12,12,12,12,4,4,4,12,12,12,12,4,4,4,12,4,4,4,12,12,12,4,4,12,4,4,
12,4,4,4,4,12,12,12,12,12,12,4,4,12,4,12,12,12,4,4,4,12,4,4,8,4,12,4,12,4,8,4,
4,4,1,1,2,1,1,1,1,1,1,3,3,2,1,2,2,2,6,2,6,2,6,2,6,2,2,2,2,6,2,2,6,2,2,2,2,6,2,
4,4,4,4,4,4,4,4,12,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,21,42,12,36,16,7,14,21,4,
63,12,18,18,126,24,168,36,36,36,8,36,8,252,36,72,16,72,16,72,72,72,72,16,16,
32,32,16,16,3,3,42,42,48,63,63,9,18,4,18,18,4,18,18,18,18,18,18,18,126,24,24,
24,168,168,168,24,36,8,36,8,8,4,8,8,4,36,36,36,4,36,36,4,36,48,72,72,72,72,8,
72,504,72,8,8,8,8,72,72,8,8,8,16,72,16,72,16,16,72,16,16,72,72,72,16,32,144,
144,16,16,144,16,32,16,16,16,32,16,144,16,32,32,32,32,64,7,14,21,6,6,8,2,9,9,
9,2,63,9,12,18,2,18,4,4,18,18,4,18,18,18,18,2,126,18,18,18,18,2,18,4,18,18,18,
2,18,18,4,24,168,8,4,4,8,36,4,8,4,36,4,4,36,36,8,4,36,4,4,8,8,36,36,4,8,36,8,
36,36,4,36,36,36,36,36,36,36,36,4,36,4,8,4,4,252,36,4,8,8,8,16,8,16,8,16,8,8,
16,8,8,72,8,72,8,72,8,8,8,8,8,8,8,8,8,8,16,16,16,16,8,8,8,8,16,16,32,16,16,16,
16,144,16,16,16,144,16,32,16,144,144,32,32,16,144,21,3,42,6,6,6,6,2,9,9,2,9,9,
9,2,18,4,18,2,18,4,18,4,2,18,18,4,2,18,18,18,18,18,18,18,18,18,18,18,2,4,18,2,
24,24,4,4,4,4,36,4,36,4,4,4,4,36,4,4,4,4,8,8,4,4,36,36,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,36,4,4,36,4,4,8,4,4,4,4,8,36,4,36,36,4,4,4,4,4,4,4,8,4,4,36,4,36,16,8,8,
8,8,72,8,8,16,8,16,8,8,8,8,8,16,16,16,32,16,16,1,1,6,1,9,1,2,1,9,1,1,1,2,9,2,
2,2,18,2,2,2,18,18,18,2,18,2,4,18,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,18,18,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,3,3,1,1,2,1,9,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,13,18,12,20,16,3,2,9,15,16,16,10,18,42,24,36,
8,20,8,60,28,16,24,32,24,16,40,40,16,16,32,32,16,16,32,1,3,6,6,9,15,5,12,4,10,
4,10,14,4,10,14,24,18,6,14,6,10,6,8,8,8,8,24,32,8,4,16,4,8,8,20,8,4,8,4,12,12,
20,12,20,16,24,8,24,8,8,48,16,16,8,8,16,40,32,40,16,8,8,16,16,24,16,8,16,24,
16,32,16,32,96,16,32,16,32,32,16,32,16,16,32,32,1,1,4,1,3,2,2,5,3,3,7,5,2,3,5,
4,10,12,8,8,8,8,2,2,6,4,4,12,4,4,2,2,2,2,2,4,2,10,4,6,6,4,10,6,2,2,6,6,2,12,6,
2,4,8,4,8,4,8,12,4,4,4,8,4,8,4,8,8,4,4,12,8,8,4,8,12,4,8,4,8,12,4,8,8,4,4,8,8,
4,8,16,8,8,8,4,24,4,4,4,8,12,12,20,4,20,4,20,8,4,20,8,8,8,4,4,12,4,8,4,4,8,24,
8,16,16,8,8,24,8,8,8,8,8,8,16,16,8,8,8,8,16,16,16,16,16,32,16,16,16,16,32,16,
16,16,1,1,2,2,3,2,1,1,5,4,5,3,1,1,3,6,4,2,2,4,2,2,6,2,2,4,2,4,2,4,2,2,4,4,2,2,
2,4,2,2,2,2,4,4,6,4,2,2,2,2,2,6,2,2,4,4,4,4,2,2,4,8,4,4,4,4,4,4,8,4,8,8,4,4,4,
4,4,4,4,4,8,12,4,8,4,4,4,8,4,4,4,4,4,8,4,4,8,8,4,4,4,8,8,8,4,4,4,8,8,4,4,4,4,
8,4,8,4,4,4,4,4,8,4,4,4,4,8,8,8,4,4,4,4,4,4,4,4,4,4,4,12,8,8,8,16,8,8,8,8,8,8,
8,8,8,8,8,1,1,1,2,1,1,2,2,2,1,1,1,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,4,4,2,2,2,2,2,
2,4,6,2,2,2,2,4,2,4,2,2,2,4,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,4,4,4,1,1,1,2,2,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,9,6,12,36,16,64,32,3,2,3,4,9,12,18,18,18,24,36,36,36,72,72,72,72,
72,72,48,96,3,6,9,9,18,18,18,18,24,24,24,24,36,36,36,36,48,72,72,72,72,72,72,
72,72,72,72,144,144,64,12,32,8,8,8,48,64,16,24,32,192,1,6,6,8,9,9,12,18,18,24,
36,36,36,36,36,72,72,72,144,12,24,24,24,24,24,48,3,18,18,24,16,32,4,1,2,24,24,
8,32,8,8,12,24,1,3,6,4,8,1,1,2,1],[1,21,42,64,16,32,7,14,21,63,126,168,252,48,
96,3,42,42,48,63,63,126,168,168,168,504,64,112,8,224,8,8,12,16,24,32,7,14,21,
63,126,168,252,12,24,24,24,24,24,48,21,42,16,32,1,28,56,2,8,8,8,12,24,1,3,6,4,
8,1,1,2,1],[1,3,12,12,16,16,80,1,4,16,18,12,18,18,48,48,48,3,3,12,9,12,12,36,
64,4,4,4,16,16,20,16,16,48,80,16,1,1,3,3,9,9,9,12,12,12,12,12,3,3,9,16,16,16,
5,1,4,4,4,12,4,4,12,1,3,3,4,4,1,1,1,1,1],[1,9,12,6,12,36,16,16,8,3,2,3,9,18,
18,18,18,18,18,18,36,72,36,16,16,48,48,48,24,48,48,3,6,3,9,18,9,9,18,18,9,18,
9,18,18,18,18,18,18,18,18,18,18,18,36,36,16,12,8,8,2,12,8,48,48,24,24,1,9,9,9,
9,9,9,18,18,18,18,18,18,18,18,16,16,16,12,12,12,12,12,6,12,24,24,12,24,3,3,9,
9,9,9,9,8,16,1,1,2,12,6,6,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,6,18,18,54,
4,4,32,1,3,3,3,16,18,9,18,9,9,12,18,18,18,18,18,36,72,36,36,72,36,4,4,12,36,
36,12,24,24,96,3,3,12,6,9,9,9,9,9,9,9,9,9,9,9,18,12,18,18,18,18,18,18,24,18,
18,18,18,18,18,36,18,18,18,18,18,36,36,36,36,72,16,1,1,8,4,12,4,32,12,12,12,
12,12,12,36,12,12,12,36,24,24,1,3,3,3,3,9,9,9,9,9,9,9,18,9,9,9,18,9,9,9,9,9,9,
18,9,9,9,9,9,9,18,18,18,18,18,36,36,16,16,16,1,1,3,3,3,3,4,4,12,6,6,6,6,12,12,
12,12,12,24,12,12,12,12,12,12,48,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,2,1,1,3,
3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,12,9,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,6,3,3,3,
3,1,4,4,3,3,1,1,1,1],[1,21,42,12,36,64,7,14,21,4,63,12,18,18,126,24,168,36,36,
36,36,252,36,72,72,72,72,72,72,192,3,3,42,42,48,63,63,9,18,18,18,18,18,18,18,
18,18,18,126,24,24,24,168,168,168,24,36,36,36,36,36,36,36,36,48,72,72,72,72,
72,504,72,72,72,72,72,72,72,72,72,144,144,144,144,112,224,64,7,14,21,6,6,8,9,
9,9,63,9,12,18,18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,24,168,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,72,72,72,144,
144,144,144,144,48,96,96,21,3,42,6,6,6,6,9,9,9,9,9,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,36,36,36,72,28,56,
32,48,1,1,6,9,9,9,18,18,18,18,18,18,18,18,12,24,24,3,3,9,1,4,1,3,1],[1,21,42,
12,36,64,7,14,21,63,16,18,18,126,168,36,36,252,36,48,72,72,72,72,192,3,3,42,
42,48,63,63,9,12,12,18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,24,168,168,
24,36,36,36,36,36,36,72,72,72,72,504,72,72,72,72,72,72,72,144,144,112,224,64,
7,1,14,3,21,6,6,6,9,9,9,9,9,63,9,18,18,18,18,18,18,18,126,18,18,18,18,18,18,
18,18,18,18,18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,252,36,72,72,72,72,72,72,144,144,144,144,48,96,96,21,3,6,42,6,6,6,9,9,9,
9,9,9,9,9,9,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,72,28,56,16,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,24,24,3,6,9,9,18,18,1,8,
12,1,3,1],[1,21,42,12,36,64,7,14,21,4,63,12,18,18,126,24,168,36,36,36,36,252,
36,72,72,72,72,72,72,192,3,3,42,42,48,63,63,9,18,18,18,18,18,18,18,18,18,18,
126,24,24,24,168,168,168,24,36,36,36,36,36,36,36,36,48,72,72,72,72,72,504,72,
72,72,72,72,72,72,72,72,144,144,144,144,32,48,64,64,192,7,14,21,6,6,8,9,9,9,
63,9,12,18,18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,24,168,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,72,72,72,144,144,
144,144,144,48,96,96,21,3,42,6,6,6,6,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,36,36,36,72,4,24,24,
32,32,48,1,1,6,9,9,9,18,18,18,18,18,18,18,18,12,24,24,3,3,9,1,4,1,3,1],[1,21,
42,12,36,64,7,14,21,63,16,18,18,126,168,36,36,252,36,48,72,72,72,72,192,3,3,
42,42,48,63,63,9,12,12,18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,24,168,
168,24,36,36,36,36,36,36,72,72,72,72,504,72,72,72,72,72,72,72,144,144,16,32,
48,48,64,7,1,14,3,21,6,6,6,9,9,9,9,9,63,9,18,18,18,18,18,18,18,126,18,18,18,
18,18,18,18,18,18,18,18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,252,36,72,72,72,72,72,72,144,144,144,144,48,48,48,96,96,96,96,
96,21,3,6,42,6,6,6,9,9,9,9,9,9,9,9,9,12,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,4,16,32,48,48,96,96,1,2,3,3,3,
6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,
36,36,36,36,12,12,12,3,6,9,9,18,18,4,8,12,12,24,24,1,1],[1,21,42,12,36,64,7,
14,21,4,63,12,18,18,126,24,168,36,36,36,36,252,36,72,72,72,72,72,72,192,3,3,
42,42,48,63,63,9,18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,
36,36,36,36,36,36,36,48,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,144,144,
144,144,16,16,16,48,48,64,7,14,21,6,6,8,9,9,9,63,9,12,18,18,18,18,18,18,18,18,
126,18,18,18,18,18,18,18,18,18,18,24,168,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,252,36,72,72,72,144,144,144,144,144,48,48,48,48,48,96,96,
21,3,42,6,6,6,6,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,24,24,36,36,36,36,36,36,36,36,36,36,36,36,72,4,4,16,16,16,48,48,1,1,6,9,9,
9,18,18,18,18,18,18,18,18,12,12,12,3,3,9,4,4,12,1,1],[1,21,42,12,36,64,7,14,
21,63,16,18,18,126,168,36,36,252,36,48,72,72,72,72,192,3,3,42,42,48,63,63,9,
12,12,18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,24,168,168,24,36,36,36,
36,36,36,72,72,72,72,504,72,72,72,72,72,72,72,144,144,16,16,48,64,64,7,1,14,3,
21,6,6,6,9,9,9,9,9,63,9,18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,
18,18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,
36,72,72,72,72,72,72,144,144,144,144,48,48,48,96,21,3,6,42,6,6,6,9,9,9,9,9,9,
9,9,9,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,72,4,4,12,16,16,48,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,12,12,24,3,6,9,9,18,
18,1,4,4,12,1,3,1],[1,21,42,4,12,64,7,14,21,63,6,6,126,168,12,12,252,12,16,24,
24,24,24,48,64,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,6,6,6,126,8,168,168,168,8,
12,12,12,12,24,24,24,504,24,24,24,24,24,24,24,48,48,48,112,224,64,7,14,21,3,3,
3,63,3,4,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,252,12,24,24,48,48,48,48,16,32,32,21,1,42,2,2,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,28,56,16,
1,1,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,21,42,4,12,48,64,7,14,21,
63,6,6,126,168,12,24,12,24,252,12,24,48,24,48,24,24,96,96,48,48,128,64,3,1,42,
42,48,63,63,3,6,12,6,6,12,6,6,6,6,6,6,6,126,8,168,168,168,8,24,24,24,12,24,24,
12,12,12,12,12,12,12,24,24,24,504,24,24,24,24,24,24,24,48,24,48,24,48,48,24,
48,48,24,96,48,48,48,96,48,96,96,96,192,112,224,64,7,14,21,6,3,3,3,6,63,3,6,6,
12,12,6,12,6,6,6,6,126,6,6,6,12,6,6,6,6,6,6,12,168,24,12,12,24,12,24,12,12,12,
24,12,12,12,24,24,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,12,24,12,252,
12,24,24,48,24,48,48,48,24,24,24,24,24,24,24,24,48,48,48,48,24,24,24,48,96,48,
48,48,96,48,48,96,96,32,16,32,32,64,128,21,1,42,2,2,6,3,3,6,3,3,3,6,12,12,6,
12,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,24,24,12,12,12,12,12,12,12,
24,12,12,12,12,12,12,12,24,12,12,12,24,12,12,12,12,12,12,12,12,24,12,12,48,24,
24,24,24,24,48,24,48,24,48,96,28,56,16,32,1,3,3,6,3,3,3,3,6,6,6,6,6,6,6,12,6,
6,6,6,6,6,12,6,6,12,12,24,12,12,24,24,24,8,4,16,8,8,32,1,3,6,3,6,6,6,6,6,1,4,
8,3,2,1,1],[1,21,42,4,12,64,7,14,21,63,6,6,126,168,12,12,252,12,24,24,24,24,
48,48,64,3,1,42,42,48,63,63,3,6,6,6,6,6,6,6,6,6,6,126,8,168,168,168,8,12,12,
12,12,24,24,24,24,504,24,24,24,24,24,24,48,48,48,48,48,112,224,64,7,14,21,3,3,
3,63,3,6,6,6,6,6,126,6,6,6,6,6,6,6,168,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,252,12,12,24,24,24,48,48,48,48,48,48,16,32,32,21,1,42,2,2,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,28,56,16,32,1,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,1,3,3,6,
6,1,4,8,3,1,1],[1,13,18,12,36,48,64,3,2,9,4,15,12,18,18,42,24,24,36,36,12,24,
36,24,60,12,72,72,48,72,72,72,72,48,48,96,48,48,48,64,128,1,3,6,6,9,15,9,18,
12,18,6,12,6,6,6,18,6,18,6,6,24,24,24,8,24,32,24,36,36,24,24,12,24,24,12,12,
36,12,12,36,12,12,12,48,24,24,72,72,24,72,48,24,24,24,24,24,72,72,24,24,24,72,
24,24,48,72,48,72,72,72,48,48,48,48,48,48,144,48,48,48,48,48,144,48,48,96,96,
96,96,32,48,64,64,192,1,3,6,6,8,6,3,9,3,6,3,9,12,6,18,18,6,6,6,6,12,6,6,6,6,6,
12,6,6,6,6,6,6,12,24,12,12,12,12,12,36,12,12,36,36,24,12,36,12,12,12,12,36,12,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,72,24,72,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,144,16,32,32,32,64,64,64,1,3,
2,2,6,3,3,3,3,3,6,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,24,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,4,24,24,32,16,32,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,24,24,24,24,4,8,8,8,8,8,32,1,3,3,6,6,6,6,6,6,1,4,8,3,1,2,
1],[1,13,8,18,12,36,24,64,3,2,9,4,15,12,28,12,18,18,42,24,24,36,36,12,12,36,
12,60,12,72,24,72,24,72,72,72,72,48,48,48,48,48,64,128,1,3,6,6,14,9,15,9,12,
18,6,18,6,6,6,6,18,6,18,6,18,6,6,24,24,24,8,24,32,24,12,36,12,36,12,12,12,12,
12,12,12,12,12,36,12,12,12,36,12,12,12,36,12,12,12,12,48,16,16,24,24,72,72,72,
24,24,48,24,24,72,72,24,24,24,72,24,24,24,24,72,24,24,24,72,72,72,24,48,48,48,
48,48,48,144,48,48,48,144,48,48,48,48,48,32,48,64,64,192,1,1,3,3,6,6,8,3,3,9,
3,3,3,9,12,6,6,18,6,6,18,6,6,6,6,18,6,6,12,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,36,12,36,36,12,12,12,36,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,72,72,72,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,144,16,32,32,32,64,64,1,3,3,2,2,2,2,2,3,3,3,3,3,3,3,3,4,6,6,18,6,6,6,18,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,
24,4,24,24,32,16,1,1,2,2,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,8,8,8,16,1,
2,3,3,6,6,6,6,6,6,6,12,1,4,8,8,1,1,2,1],[1,13,18,36,60,64,3,2,9,4,15,12,48,30,
54,42,24,24,36,36,60,60,60,36,48,48,72,72,72,72,120,120,48,64,64,64,1,9,6,6,9,
15,15,36,12,30,30,18,6,18,30,18,18,18,6,6,24,24,24,24,8,24,24,32,24,36,36,60,
36,36,36,36,60,36,60,48,48,48,72,72,24,72,72,48,24,48,72,72,72,48,120,120,24,
72,72,72,72,96,48,96,144,48,144,144,48,96,32,48,64,64,192,1,3,3,3,6,6,6,8,3,9,
9,9,15,3,15,12,12,12,18,18,18,12,6,6,18,6,12,6,6,6,12,30,6,18,6,30,18,18,18,6,
18,24,12,24,36,36,12,36,36,12,36,36,24,12,36,12,12,24,12,24,12,12,36,36,60,36,
12,12,12,12,12,60,24,12,24,24,72,24,24,24,72,72,24,24,24,24,72,72,72,72,72,72,
48,48,96,48,48,48,96,48,144,48,16,16,64,32,32,32,64,1,3,2,2,6,6,9,3,3,3,15,9,
3,3,9,12,12,6,18,6,6,18,18,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,18,6,6,18,6,6,6,6,
24,12,12,12,12,12,12,36,12,24,12,36,12,12,12,24,36,24,12,24,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,24,12,12,12,24,24,24,24,72,24,24,48,4,24,24,32,16,32,
1,3,3,3,3,3,3,3,3,3,3,6,18,6,6,18,6,6,6,6,6,6,12,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,4,4,4,8,8,8,24,16,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,13,18,
12,36,64,3,2,9,4,15,16,12,18,18,42,24,24,36,36,12,36,60,12,72,72,72,72,72,72,
48,64,1,3,6,6,9,15,9,18,18,6,6,6,24,6,18,6,18,6,6,24,24,24,8,24,32,24,36,36,
12,36,12,36,12,12,48,24,24,72,72,72,48,24,72,72,72,24,24,72,72,72,72,48,48,
144,48,144,32,48,64,64,192,1,4,3,6,6,8,3,9,3,3,9,12,12,18,18,6,6,6,12,6,6,6,6,
6,6,6,6,6,12,24,12,36,36,36,36,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,72,72,72,48,48,48,48,144,16,32,32,1,3,2,2,3,3,3,3,3,6,18,6,18,6,6,
6,6,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,24,24,32,16,
1,1,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,21,24,42,4,12,24,64,7,14,
21,63,84,84,6,6,126,168,12,12,12,12,252,12,24,24,24,24,24,24,48,48,48,48,64,
64,64,3,1,42,42,42,48,63,63,3,84,6,6,6,6,6,6,6,126,6,6,6,6,6,126,8,168,168,
168,8,12,12,12,12,12,12,12,12,252,12,12,12,12,12,12,12,12,12,24,24,24,24,504,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,96,
112,224,64,3,7,14,21,21,3,3,3,3,3,63,3,6,6,126,6,6,6,6,6,6,6,126,6,6,126,6,6,
6,126,6,6,6,6,6,6,6,6,6,6,126,6,168,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,252,
12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,
48,48,48,48,112,16,16,32,32,32,64,21,1,21,42,2,2,42,3,3,3,3,3,3,3,63,6,126,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,48,28,56,16,32,1,21,21,3,3,3,3,3,
3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,28,4,4,8,
8,8,16,3,1,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,13,18,12,36,64,3,2,9,4,15,12,
18,18,42,24,24,36,36,12,36,60,12,72,48,72,72,72,72,72,48,64,1,3,6,6,9,15,9,18,
18,6,6,6,6,18,6,18,6,6,24,24,24,8,24,32,24,36,24,36,12,36,12,36,12,12,48,24,
24,72,72,72,48,24,72,72,48,72,24,24,72,72,72,72,48,48,144,48,48,144,32,48,64,
64,192,1,3,6,6,8,3,9,3,3,9,12,18,12,12,18,12,6,6,6,12,6,6,6,6,6,6,6,6,6,24,12,
36,36,36,36,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,72,72,72,24,
24,48,48,48,48,48,48,144,16,32,32,1,3,2,2,3,3,6,3,3,3,18,6,18,6,6,6,6,6,6,6,6,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,24,24,32,16,
32,1,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,21,
42,4,12,48,64,7,14,21,63,6,6,126,168,12,24,12,24,252,12,24,48,24,48,24,24,96,
48,48,96,128,64,3,1,42,42,48,63,63,3,6,12,6,6,12,6,6,6,6,6,6,6,126,8,168,168,
168,8,12,24,12,24,24,24,12,24,12,12,12,12,12,24,24,24,24,504,24,24,48,24,48,
24,24,48,48,24,48,24,48,24,48,96,48,48,48,48,96,96,48,96,48,192,112,224,64,7,
14,21,6,3,3,3,6,63,3,6,12,12,6,12,6,6,6,126,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,
12,168,24,12,12,24,12,12,12,24,12,12,12,24,12,12,12,24,12,24,12,24,12,24,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,12,252,12,12,12,48,48,48,48,48,48,48,
24,24,48,48,96,48,48,48,48,48,96,48,48,96,48,48,96,32,16,32,32,64,128,21,1,42,
2,2,6,3,3,6,3,3,3,6,12,6,12,6,6,12,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,24,24,12,12,12,12,12,12,12,24,12,12,12,24,12,24,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,12,12,12,12,12,12,48,24,24,24,48,48,24,48,24,96,28,56,16,
32,1,3,3,6,3,3,6,6,6,6,12,6,6,6,6,6,12,6,6,6,12,12,12,12,12,12,24,12,12,12,24,
12,8,4,16,8,8,32,1,3,6,3,6,6,6,12,1,4,8,3,2,1,1],[1,13,18,12,84,64,3,2,9,4,15,
12,42,18,42,24,24,36,36,36,84,60,60,96,120,120,72,72,72,72,96,64,128,1,3,6,6,
9,15,21,24,18,18,30,18,6,18,30,6,30,18,6,48,24,24,24,24,8,24,32,24,36,36,36,
36,36,36,12,24,12,48,96,24,72,96,72,72,48,48,96,72,72,120,48,72,72,120,72,72,
72,96,96,96,144,96,144,96,192,32,48,64,64,192,1,6,3,6,6,6,6,8,9,15,6,3,3,9,12,
30,6,18,18,24,18,18,12,6,12,6,6,18,6,12,6,12,18,6,6,6,6,18,12,24,12,12,36,24,
36,36,24,36,24,36,12,36,24,36,24,12,24,12,12,12,24,12,12,12,24,12,48,12,24,96,
48,48,48,48,48,48,96,72,72,72,72,72,96,96,48,96,96,96,48,96,144,32,16,32,32,
64,128,1,3,6,2,2,6,6,9,3,3,3,3,12,12,18,6,18,6,6,6,6,12,18,12,18,6,6,6,6,6,6,
6,12,6,6,24,6,6,12,24,24,24,24,24,36,12,12,24,12,24,12,12,12,12,12,12,12,12,
12,12,12,24,12,12,12,12,24,12,24,24,12,48,24,48,24,24,48,24,48,96,4,24,24,32,
16,32,1,3,6,3,6,3,3,6,6,6,6,6,12,6,12,6,6,6,12,6,6,12,12,12,12,12,12,12,24,12,
24,12,4,8,8,16,8,32,1,3,3,6,6,6,6,12,1,4,8,3,1,2,1],[1,9,4,6,36,36,36,64,3,2,
3,4,9,6,6,12,48,18,54,18,24,36,36,36,18,36,18,48,72,12,72,12,72,72,72,72,24,
24,24,24,24,24,72,24,24,72,64,64,64,9,6,1,9,9,6,36,18,3,18,3,3,18,18,18,24,24,
24,24,6,36,6,36,18,6,18,6,6,18,36,6,18,6,6,6,6,6,18,36,6,6,6,36,18,36,18,6,36,
48,8,8,48,72,72,12,72,12,12,72,12,12,12,12,72,72,12,12,36,12,72,12,72,12,12,
72,12,12,12,72,72,72,12,48,24,24,24,24,24,24,24,144,24,24,24,24,24,24,144,144,
24,24,24,24,24,24,24,48,48,48,48,48,48,32,48,64,192,64,1,3,6,6,8,9,9,9,6,12,6,
12,18,3,18,3,18,3,3,3,3,18,3,3,3,18,3,3,3,3,18,3,24,6,6,6,6,6,6,6,6,6,6,36,36,
36,36,6,6,36,6,6,18,6,36,6,6,6,6,6,6,6,6,6,6,6,6,6,36,36,6,6,36,6,6,18,6,6,6,
6,6,6,6,18,18,12,12,12,12,12,72,12,12,12,12,12,12,12,12,12,12,12,72,12,72,12,
72,12,12,12,12,12,12,12,72,12,12,72,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,72,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,144,48,48,48,64,16,16,32,32,32,32,32,3,1,6,1,1,9,9,6,2,12,3,
18,3,3,18,18,3,3,3,3,3,3,3,3,18,3,3,3,3,3,3,24,6,6,6,6,6,36,6,6,6,6,6,6,6,6,
36,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,36,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,72,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,4,24,24,32,16,32,
1,3,3,3,3,3,3,3,18,3,3,3,18,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,4,4,4,4,24,4,8,16,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,9,22,12,12,64,1,4,3,15,16,6,18,24,48,12,12,24,
60,24,24,24,24,48,48,64,3,4,4,8,6,3,3,12,6,12,6,12,6,6,6,18,12,24,16,12,12,24,
12,12,12,12,48,24,60,12,24,12,24,24,24,24,24,48,24,24,48,24,48,16,16,48,64,64,
1,1,3,3,6,3,3,3,3,3,3,6,6,6,9,3,6,6,3,6,6,12,6,6,6,12,12,12,12,12,6,12,12,12,
12,12,6,12,6,6,12,12,12,12,6,12,6,12,12,12,24,12,24,12,12,12,12,24,24,24,24,
16,16,16,32,1,1,3,4,3,3,3,2,6,6,6,6,3,9,3,3,6,6,3,3,6,3,3,3,12,6,6,6,6,12,6,
12,6,6,6,12,6,12,12,6,6,6,6,6,6,6,12,6,6,12,12,12,4,4,12,16,16,16,1,3,3,3,6,3,
6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,
9,4,6,12,60,36,64,3,2,3,4,9,6,6,12,30,18,18,24,36,36,12,18,60,18,24,48,72,12,
72,12,72,72,72,72,24,24,48,24,24,72,24,24,24,72,24,64,64,64,3,6,1,9,15,6,12,
18,3,18,12,3,3,6,18,18,24,24,24,24,24,6,36,6,36,6,6,6,6,6,6,18,18,6,6,6,18,6,
6,12,36,18,12,18,18,36,6,6,12,18,48,8,8,24,72,24,72,12,72,12,24,24,12,12,12,
12,12,72,72,12,12,12,12,48,24,36,72,12,12,72,12,12,12,72,72,72,12,48,24,24,24,
48,24,24,24,24,144,24,24,24,24,24,24,48,144,24,24,24,24,48,24,24,24,48,48,48,
48,96,48,48,32,48,64,192,64,1,3,6,6,8,9,3,9,6,12,6,12,3,18,3,18,6,6,3,3,3,3,6,
3,6,3,3,6,3,3,3,3,3,24,6,6,6,6,6,6,6,6,6,6,6,36,36,36,12,6,18,6,36,18,6,12,6,
12,36,6,6,12,6,6,12,6,6,6,6,6,6,6,6,12,18,18,12,6,6,6,12,6,6,6,6,6,6,6,6,6,12,
24,12,12,24,24,12,12,12,12,24,12,12,12,12,24,24,12,12,12,12,12,12,12,24,24,12,
12,72,12,72,12,72,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,48,24,24,24,24,24,24,24,24,24,24,48,24,48,
24,24,24,24,48,24,24,24,144,48,48,16,16,32,16,64,32,32,32,32,32,3,1,1,1,3,3,6,
2,3,18,3,3,18,3,3,3,3,6,3,6,3,6,3,3,3,3,6,3,3,3,6,3,24,12,6,6,12,6,6,6,6,6,12,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,24,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,24,48,
24,24,24,4,24,24,32,16,32,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,6,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,8,4,4,4,
4,4,16,8,16,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,9,22,12,12,48,
64,1,4,3,15,16,6,18,24,48,12,24,12,60,24,24,48,24,24,48,96,48,48,48,64,128,3,
4,4,8,6,3,3,12,6,6,12,12,6,6,6,18,12,24,16,12,12,12,12,12,12,24,12,12,12,12,
48,24,24,24,60,12,24,12,24,24,24,24,24,24,24,48,24,24,48,24,48,24,48,48,24,48,
48,48,96,96,16,16,48,64,64,1,1,3,3,3,3,6,3,3,3,3,6,6,6,9,3,6,6,3,6,12,6,6,6,
12,6,12,12,12,12,12,12,12,6,12,12,6,12,6,12,6,12,12,12,12,12,12,6,12,12,12,6,
12,12,24,12,24,12,24,12,12,24,24,24,24,24,24,24,12,48,48,48,24,48,24,24,24,24,
24,48,24,48,24,16,16,16,32,32,32,32,64,1,1,3,4,3,3,3,2,6,6,3,9,3,6,6,3,6,6,3,
3,3,3,3,6,12,6,6,6,6,12,6,12,6,6,6,6,12,6,6,12,6,6,12,6,12,6,12,12,6,12,6,6,
12,12,12,12,24,24,12,12,12,12,12,24,12,12,12,24,24,4,4,12,16,16,16,1,3,3,3,6,
3,3,3,3,6,3,3,3,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,4,4,4,8,8,8,8,1,
3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,21,8,42,12,36,24,16,7,14,21,63,28,28,
18,18,126,168,36,12,36,12,252,36,72,24,72,24,72,72,48,48,48,48,16,48,48,32,32,
3,3,42,42,14,48,63,63,9,28,18,6,18,18,6,18,18,42,18,18,18,18,18,126,24,168,
168,168,24,12,12,12,12,12,12,12,12,84,12,36,12,36,12,12,36,12,36,72,72,72,24,
504,72,24,24,24,72,24,72,24,24,72,24,24,72,24,48,144,144,48,48,48,48,48,48,48,
96,8,12,16,16,16,48,16,48,16,32,32,1,7,14,7,21,3,9,9,9,3,63,9,6,18,42,6,6,18,
6,6,18,18,42,18,6,126,18,6,6,42,6,18,6,6,18,18,18,18,18,6,42,6,168,12,12,12,
36,12,12,12,36,12,12,36,12,12,12,36,12,12,36,12,36,12,12,36,12,12,36,12,36,12,
12,36,36,36,36,36,12,12,12,252,36,12,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,48,48,144,144,48,144,144,48,48,48,12,12,12,16,24,8,24,24,8,16,
16,16,16,16,16,16,21,3,7,42,6,6,14,3,9,9,3,9,9,9,21,6,42,6,18,6,6,6,18,6,6,18,
18,6,6,6,18,18,6,6,6,18,18,6,6,6,6,6,6,6,6,12,12,36,12,12,12,12,36,12,36,12,
12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,
12,36,12,12,36,24,72,24,24,24,24,24,48,1,8,4,4,12,4,12,4,12,8,8,8,24,24,8,16,
1,7,7,3,9,3,3,3,9,3,3,6,18,18,6,6,18,6,6,6,6,6,6,6,6,18,6,12,12,12,12,12,12,
12,12,12,12,1,3,3,2,2,4,4,4,4,12,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,3,1,1,1,3,2,
2,4,3,1,1,1,1,1,1,1,1],[1,9,12,6,20,36,60,16,3,2,3,4,9,18,18,12,16,18,30,18,
24,36,36,12,30,36,30,16,72,36,72,36,72,72,72,72,24,24,24,72,72,72,120,24,24,
72,16,80,80,5,6,3,9,9,18,12,18,9,18,9,9,6,18,18,24,24,24,24,18,36,18,36,30,18,
30,18,6,18,12,18,30,18,6,18,18,18,18,36,18,18,6,36,30,12,30,6,12,48,24,24,16,
72,72,12,72,12,36,24,12,12,12,12,72,72,12,12,36,12,24,12,72,36,12,72,12,36,36,
72,72,72,12,48,24,72,24,24,72,24,72,144,24,72,24,24,24,72,144,48,72,24,24,72,
72,72,72,48,48,48,48,48,48,12,8,16,16,48,16,16,80,48,1,1,6,6,8,9,3,9,6,4,6,12,
6,9,18,9,18,9,9,9,9,6,9,9,3,6,9,9,3,9,6,9,24,18,6,6,18,18,6,18,18,6,18,12,36,
36,36,18,6,36,6,6,18,18,36,6,6,6,18,18,6,18,18,18,18,18,18,18,12,12,18,6,12,6,
6,18,18,6,6,18,18,6,6,30,18,12,12,12,36,36,24,12,36,12,12,12,12,12,12,12,12,
36,72,12,72,12,72,12,12,12,12,12,12,12,24,12,12,24,12,12,12,36,12,36,12,12,12,
12,12,12,12,12,12,36,36,12,12,12,12,12,12,24,12,12,24,24,72,24,72,24,24,24,24,
72,24,24,24,24,72,72,72,72,24,72,144,48,48,12,20,20,16,16,24,24,24,16,16,16,
16,16,16,3,3,2,3,3,3,3,6,6,4,9,18,9,3,18,6,9,9,9,9,9,3,9,9,6,9,9,9,3,3,9,24,6,
6,6,18,18,12,6,18,6,6,6,18,6,6,12,18,6,6,6,6,6,18,6,18,18,6,6,6,6,6,18,6,6,6,
6,6,6,6,6,6,6,6,12,6,18,18,6,6,6,6,6,18,18,6,6,6,18,6,18,18,6,6,12,12,12,12,
12,12,12,36,12,36,12,12,12,12,12,12,12,36,24,12,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,12,24,24,24,24,1,4,8,4,4,12,12,12,20,8,24,8,24,16,1,1,1,3,3,3,3,3,
6,9,3,9,6,9,3,3,9,3,3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,6,6,6,6,6,6,6,6,6,6,6,18,18,
6,12,12,12,12,12,12,1,3,3,4,2,2,4,12,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,3,1,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,9,8,6,24,48,48,16,1,7,6,3,4,28,6,16,
12,24,12,12,30,42,24,24,24,24,12,12,24,16,24,24,48,48,36,60,72,48,24,24,24,48,
72,96,72,96,48,48,16,48,48,32,32,1,3,14,3,3,3,4,12,4,12,12,6,12,6,6,6,6,12,6,
8,12,12,8,8,12,6,30,12,18,24,6,12,12,12,12,12,12,12,18,12,12,12,18,12,12,6,24,
24,24,12,18,12,12,24,12,12,24,24,24,24,24,12,24,12,12,12,48,12,24,36,24,24,12,
24,48,12,24,24,24,24,24,24,36,12,24,12,24,12,48,24,12,24,36,12,48,32,32,24,48,
24,24,24,24,24,96,72,48,24,24,24,48,24,24,48,24,48,72,48,24,24,24,72,24,72,48,
48,48,48,48,48,48,48,48,4,4,4,16,16,16,48,16,48,16,32,32,1,1,1,1,1,2,3,3,3,3,
3,3,3,4,6,4,4,6,4,6,6,6,6,3,12,6,6,3,6,6,9,6,6,3,3,6,6,12,6,6,12,6,12,6,6,9,9,
12,6,6,12,6,6,8,8,6,6,12,6,6,6,6,6,12,12,12,6,12,6,6,12,6,6,12,12,6,12,12,6,
12,6,6,6,12,6,12,6,6,12,6,12,6,6,6,6,6,6,6,12,6,12,6,12,12,12,12,6,18,12,12,
12,6,6,6,6,12,12,12,12,12,12,6,6,12,12,6,12,6,12,6,12,12,12,12,12,24,24,24,24,
12,36,12,36,12,12,12,12,12,24,12,12,24,12,24,24,24,12,24,12,36,12,24,24,12,12,
24,12,12,12,12,48,12,12,24,12,12,12,12,12,12,24,12,24,24,12,12,12,12,12,12,24,
24,24,48,24,24,24,12,12,24,24,24,24,12,12,24,12,12,24,12,24,24,24,12,36,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,24,24,24,48,48,48,48,4,4,4,
4,4,12,12,4,4,16,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,3,3,3,3,3,3,3,4,4,
4,6,6,6,3,3,3,3,3,3,3,3,3,3,6,6,3,3,3,3,6,6,6,3,3,3,3,3,9,6,3,6,12,9,3,3,3,3,
3,3,6,9,6,8,6,6,12,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,12,6,6,12,12,12,6,12,12,6,6,6,6,6,6,6,6,12,6,12,12,6,12,6,6,12,6,6,12,
6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,12,12,12,6,6,6,6,12,6,6,6,6,6,12,6,6,6,
12,6,6,6,6,6,6,6,6,6,6,12,6,6,12,12,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,24,24,12,12,
12,12,12,12,12,12,24,12,12,24,12,12,24,12,12,12,12,12,12,24,24,12,12,24,12,12,
12,24,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,
16,1,3,3,3,4,4,3,3,3,3,3,3,3,6,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,12,12,
12,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,9,8,6,12,
60,24,16,1,7,3,4,28,12,18,6,12,24,24,12,12,12,36,12,12,24,32,48,48,72,24,72,
48,48,24,48,48,48,16,48,48,32,32,1,14,3,3,6,4,8,6,6,6,6,6,6,12,6,6,12,16,8,8,
12,12,24,12,12,12,12,24,12,12,12,12,12,12,24,48,12,36,24,12,24,24,36,24,24,12,
12,48,24,24,12,12,12,12,36,24,12,12,24,24,24,24,24,24,48,48,24,48,24,24,24,24,
96,48,72,24,24,48,48,96,8,4,16,16,16,48,16,48,16,32,32,1,1,2,1,2,3,3,3,6,3,6,
12,6,6,6,6,6,6,3,6,3,6,9,6,9,9,6,6,6,6,6,12,6,3,6,12,12,12,6,12,12,24,6,6,12,
12,6,6,6,6,12,6,18,6,12,6,12,6,12,6,6,6,24,6,6,6,12,6,6,6,6,24,12,12,24,12,24,
24,24,24,24,12,24,24,24,12,12,12,24,12,24,24,24,24,24,24,48,48,24,24,24,24,24,
24,24,24,24,8,4,4,8,4,8,16,8,8,16,16,8,8,8,16,16,16,16,16,16,1,3,3,3,6,4,3,3,
3,3,6,6,6,6,3,3,6,3,6,6,3,6,9,6,12,3,6,6,3,6,6,6,6,6,6,6,6,6,12,6,6,6,12,6,18,
6,12,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,12,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,24,24,4,8,4,8,4,4,4,4,8,4,8,
16,8,8,8,8,16,8,8,16,1,3,3,3,4,4,3,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,
1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,21,8,42,7,14,21,63,28,28,126,168,252,64,3,42,
42,14,48,63,63,28,42,126,168,168,168,84,504,64,1,7,14,7,21,63,42,42,126,42,42,
168,252,21,7,42,14,21,42,24,48,1,7,7,8,1,1,1],[1,3,21,63,1,28,56,7,7,21,63,63,
63,63,1,28,21,21,84,84,168,8,21,21,21,63,63,63,63,28,7,14,7,7,7,14,21,21,21,
21,21,84,24,63,28,28,28,8,8,16,7,7,7,7,21,21,21,21,21,42,21,21,21,21,42,7,7,
28,8,24,21,21,21,8,7,7,7,7,7,7,8,7,7,1,3,1,1],[1,21,8,42,20,60,40,7,14,21,4,
63,28,28,12,16,30,30,126,24,168,36,36,60,20,60,20,252,60,16,48,120,40,120,40,
72,72,120,120,16,16,48,80,48,80,48,80,80,48,48,3,5,42,42,14,48,63,63,15,28,12,
12,30,10,30,30,10,30,30,42,30,30,30,30,30,126,24,24,24,24,40,168,24,168,168,
40,12,36,20,36,20,12,20,20,20,12,36,20,20,12,20,84,20,12,12,60,36,20,60,20,12,
36,20,60,20,36,12,60,48,16,16,16,120,120,72,72,120,8,72,40,24,504,24,120,24,
24,24,24,8,24,72,72,40,40,24,24,72,72,24,40,120,40,24,120,40,40,120,40,24,40,
120,72,72,40,32,32,16,48,80,240,48,48,240,16,80,48,48,144,16,80,80,16,48,16,
80,16,80,48,144,48,48,16,80,80,48,48,48,48,32,32,32,32,96,96,32,32,32,32,160,
1,7,1,14,7,3,21,6,6,6,6,6,8,5,15,15,9,15,9,5,63,15,4,4,4,4,12,4,18,10,30,6,42,
18,10,10,18,30,10,10,18,30,30,42,30,18,6,10,126,18,18,30,6,6,6,6,10,18,6,18,
18,10,18,42,6,10,30,10,10,30,30,6,6,30,6,30,30,10,42,18,6,10,24,8,168,8,20,20,
12,12,12,12,20,60,12,12,4,20,20,12,12,36,4,20,12,36,12,12,12,36,60,36,12,20,
12,20,12,12,60,12,4,20,12,12,20,36,12,20,36,60,36,4,20,12,12,20,60,20,60,36,
12,20,20,12,60,12,12,20,20,60,36,20,60,36,36,20,12,12,12,20,12,60,60,60,12,60,
12,36,12,12,12,60,12,20,20,4,12,12,20,12,252,12,12,60,4,20,12,12,8,72,8,72,24,
24,24,40,24,24,40,24,24,24,24,24,40,8,8,40,24,8,8,72,8,24,24,40,24,8,40,24,24,
24,24,72,24,8,72,24,72,8,72,24,72,8,8,24,8,8,8,8,40,8,8,24,8,24,8,8,8,24,24,8,
40,72,40,24,8,8,24,24,8,8,24,24,24,40,8,40,24,40,40,40,24,24,8,8,24,24,24,24,
40,24,40,24,40,8,8,24,8,8,24,40,24,8,24,24,24,24,16,48,48,80,48,80,48,16,48,
16,16,16,48,240,16,48,48,16,16,16,240,48,16,48,16,80,16,240,240,80,48,48,16,
48,80,48,48,48,16,80,144,32,32,32,32,21,5,7,6,42,2,6,10,6,10,2,6,14,9,5,9,15,
15,5,9,9,15,15,15,21,4,12,4,12,4,4,12,6,6,18,6,18,10,18,6,18,2,18,18,18,6,42,
10,6,6,30,10,10,6,6,10,6,6,18,18,30,18,18,6,18,6,10,10,6,6,30,18,30,10,6,18,
18,18,18,18,18,10,10,30,30,10,6,10,6,6,10,30,6,6,30,6,6,10,6,18,10,10,18,18,
18,10,6,18,6,10,6,10,6,18,18,6,6,2,6,10,6,10,24,24,8,12,4,12,4,12,20,4,12,12,
12,12,12,4,12,12,12,36,20,12,60,36,20,36,12,12,36,12,12,12,12,4,36,4,12,12,12,
4,36,4,36,4,4,4,12,12,4,12,12,4,12,4,4,4,12,12,4,4,20,4,12,36,12,20,20,36,36,
36,4,12,12,12,60,12,36,12,12,20,36,12,60,12,12,36,4,12,4,4,4,36,36,12,12,12,
12,4,12,4,12,12,12,12,12,20,20,12,4,12,20,4,12,4,12,12,4,12,12,12,12,4,4,4,4,
36,4,4,60,12,4,12,12,12,20,12,12,36,20,12,20,12,12,12,20,20,4,20,4,12,20,12,
20,12,12,12,12,12,12,12,12,12,4,4,36,12,12,12,36,20,20,20,20,12,20,12,4,4,20,
20,4,12,60,12,12,12,60,12,4,4,12,20,12,12,12,4,36,12,20,12,12,4,20,12,12,12,
12,36,4,12,12,12,12,12,20,12,36,4,12,12,20,12,12,12,20,12,12,4,12,20,4,60,12,
4,20,20,60,12,8,24,24,8,24,8,8,8,24,40,8,8,8,8,24,24,24,8,24,24,8,24,24,8,24,
120,8,8,8,8,24,8,8,8,24,8,8,24,40,8,8,8,24,24,24,8,8,24,8,40,8,40,8,8,24,8,24,
8,8,8,24,8,8,24,8,8,8,8,24,8,8,24,8,8,24,24,8,8,8,40,8,8,24,8,8,24,8,8,24,24,
40,8,24,8,24,8,8,8,24,16,48,16,80,16,16,16,1,1,2,3,3,7,3,1,7,2,6,6,6,2,6,3,1,
5,15,3,5,3,9,5,3,3,9,9,5,15,1,3,3,5,9,9,9,5,4,4,4,4,2,2,6,2,18,2,6,6,2,2,18,2,
6,18,6,6,2,2,6,6,2,6,10,6,6,18,6,6,30,30,6,6,6,6,6,6,2,18,6,6,10,10,30,6,18,
18,6,2,6,6,18,6,6,2,2,6,10,6,10,6,6,6,2,6,2,18,10,6,2,2,2,2,6,2,18,2,6,2,6,18,
6,6,10,6,6,18,2,6,10,2,6,6,2,6,10,6,6,2,6,2,18,2,6,2,2,6,6,6,2,2,2,10,6,2,6,
10,6,6,2,2,6,18,6,30,6,18,10,36,4,12,4,12,36,12,4,4,4,4,4,12,12,12,4,12,20,12,
4,4,12,12,4,4,4,4,36,12,4,12,4,4,4,4,4,12,4,12,20,12,4,12,12,12,12,12,4,4,4,4,
4,12,12,20,12,12,4,20,4,4,4,12,4,12,4,4,12,12,4,36,12,12,4,12,12,4,4,12,4,4,4,
12,4,4,12,12,4,4,4,12,4,12,12,12,4,4,12,12,20,12,4,4,4,12,12,4,4,4,20,4,12,12,
4,12,12,12,4,36,20,36,36,4,4,12,4,4,4,12,4,4,4,20,12,4,4,4,4,36,12,4,12,4,12,
4,4,4,20,4,12,4,12,4,4,12,4,12,4,4,4,12,4,12,4,12,12,12,12,4,4,4,12,20,12,8,8,
8,8,8,8,8,8,8,8,8,8,24,8,8,24,8,8,1,1,5,1,3,1,2,2,6,1,3,9,3,3,1,1,3,1,3,3,5,3,
3,3,5,3,5,3,3,5,3,3,3,9,9,1,1,5,6,2,2,6,10,2,18,6,2,10,2,6,6,6,6,6,6,2,6,6,2,
6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
6,2,10,2,2,2,6,2,2,2,2,2,10,6,2,6,2,2,6,2,6,2,6,6,6,2,6,6,2,18,2,6,2,6,2,2,2,
2,2,2,2,2,2,2,2,6,2,2,6,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,
4,4,4,12,4,4,4,1,1,1,1,1,1,1,3,5,3,3,1,1,3,1,1,1,3,3,3,3,3,1,1,1,1,3,1,1,1,1,
3,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,9,6,36,36,16,64,32,3,2,3,4,9,12,48,18,54,18,24,36,36,36,36,48,72,72,
72,72,72,72,64,144,96,9,6,9,9,36,18,18,18,18,18,24,24,24,24,36,36,36,36,36,36,
36,48,48,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,64,12,32,8,8,8,48,64,
48,16,24,32,48,192,1,3,6,6,8,9,9,9,12,12,18,18,18,18,18,18,24,36,36,36,36,36,
36,36,36,36,72,72,72,72,72,72,72,144,64,48,36,64,24,24,24,24,24,48,48,3,6,9,9,
12,18,18,18,18,24,36,36,36,72,16,32,4,1,2,12,24,24,8,32,8,8,12,12,24,1,3,3,18,
18,16,4,3,6,6,24,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,9,12,6,12,36,36,16,64,32,3,
2,3,4,9,18,18,12,18,18,18,24,36,36,18,36,18,72,36,72,36,72,72,72,72,72,72,72,
72,16,48,48,96,192,3,6,3,9,9,18,18,9,18,9,9,18,18,24,24,24,24,18,36,18,36,18,
18,18,18,18,18,18,18,18,18,36,18,18,36,18,18,48,24,24,72,72,72,36,72,72,72,36,
72,36,36,72,72,72,72,72,72,144,72,72,144,72,72,72,72,72,64,12,32,8,8,8,48,64,
16,24,32,48,48,192,1,6,6,8,9,9,12,9,18,9,18,9,9,9,9,9,9,9,9,9,9,24,18,18,18,
18,18,18,36,36,36,18,36,18,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,
36,36,72,72,72,36,36,36,36,72,72,72,72,72,72,72,72,144,64,12,12,12,16,24,24,
24,24,24,24,48,96,96,48,3,3,3,3,6,9,18,9,18,9,9,9,9,9,9,9,9,9,9,9,24,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,16,32,4,1,2,24,24,8,32,8,8,
12,12,12,24,24,24,1,9,9,9,9,9,9,18,18,16,1,3,3,12,6,12,12,12,24,3,4,8,1,1,2,3,
3,4,1,3,1,1],[1,21,24,42,64,16,32,7,14,21,63,84,84,126,168,252,64,48,96,96,3,
42,42,42,48,63,63,84,126,126,168,168,168,252,504,64,112,8,224,8,8,12,16,24,32,
48,48,3,7,14,21,21,63,126,126,126,126,126,168,252,64,112,12,24,24,24,24,24,24,
48,48,21,21,42,42,63,126,16,32,1,28,56,2,8,8,8,12,12,12,24,1,21,21,16,28,3,6,
6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,9,6,12,36,72,16,64,32,3,2,3,4,9,12,18,18,
18,24,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,96,48,192,96,192,3,6,
9,9,18,18,18,18,24,24,24,24,36,36,18,18,36,18,18,36,18,36,18,48,72,72,36,72,
36,72,72,36,36,72,36,72,36,72,72,72,72,72,72,72,144,72,72,72,72,144,72,72,144,
144,144,64,12,32,8,8,8,48,64,16,24,32,48,48,192,96,96,1,6,6,8,9,9,12,18,18,9,
9,24,18,18,18,18,36,36,36,18,36,18,18,36,18,18,18,18,18,18,18,18,36,36,36,36,
36,72,36,72,72,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,144,64,
24,12,24,24,24,48,24,24,48,48,96,48,96,48,48,96,48,96,3,18,9,18,9,9,9,24,18,
18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,72,72,72,72,16,32,4,1,2,24,
24,8,32,8,8,12,12,12,24,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,36,36,16,32,3,
12,6,6,12,12,12,12,24,24,48,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,21,42,
72,64,16,32,7,14,21,63,126,168,36,36,252,72,72,144,144,48,192,96,96,192,3,42,
42,48,63,63,18,18,126,168,168,168,36,36,36,36,36,504,72,72,72,72,72,72,144,
144,144,144,288,64,112,8,224,8,8,12,16,24,32,48,48,96,96,7,14,21,9,9,63,18,18,
18,126,18,18,168,36,36,36,36,36,36,36,36,36,252,72,72,72,72,72,72,72,72,144,
144,144,144,64,48,12,24,24,96,24,24,24,24,192,48,48,48,48,48,48,96,21,42,9,9,
18,18,18,18,18,36,36,36,36,36,36,72,72,72,72,144,16,32,1,28,56,2,8,8,8,12,12,
12,24,24,24,24,24,24,24,24,24,1,9,9,18,18,36,36,16,32,12,3,24,6,6,12,12,48,24,
24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,21,42,12,36,64,16,32,7,14,21,
63,18,18,126,168,36,36,252,36,72,72,72,72,16,48,192,48,96,3,3,42,42,48,63,63,
9,18,18,18,18,18,18,18,18,18,18,126,24,168,168,168,24,36,36,36,36,72,72,72,
504,72,72,72,72,72,144,144,64,112,8,224,8,8,12,16,24,32,48,48,7,14,21,9,9,9,
63,9,18,18,18,18,18,126,18,18,18,18,18,18,18,168,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,252,36,144,144,144,144,64,12,12,48,12,16,24,96,24,96,24,24,24,
24,48,21,3,42,6,6,9,9,9,9,9,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
72,16,32,1,28,56,2,8,8,8,12,12,12,24,24,24,1,9,9,18,18,18,18,16,1,12,3,3,24,
24,6,12,3,4,8,1,1,2,3,3,4,3,1,1,1],[1,3,12,12,72,16,16,80,1,4,16,18,12,18,18,
36,36,72,72,72,72,48,96,48,96,48,288,3,3,12,9,12,12,18,18,36,36,18,36,18,18,
18,36,36,36,36,36,72,144,72,64,4,4,4,16,16,20,16,16,48,80,16,48,48,48,48,48,
48,1,1,3,3,9,9,9,18,18,18,18,36,36,18,18,36,36,36,36,36,36,64,12,12,12,12,24,
12,24,48,72,48,48,24,48,48,48,144,3,3,9,9,9,9,18,9,18,18,18,18,18,16,16,16,5,
1,4,4,4,12,4,4,12,12,12,12,12,12,12,12,12,12,12,1,9,9,9,9,9,9,16,16,16,3,3,12,
12,12,18,6,12,12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,21,42,64,7,
14,21,63,126,168,252,64,3,42,42,48,63,63,126,168,168,168,504,112,224,7,14,21,
63,126,168,252,64,21,42,28,56,24,48,1,1,1,1],[1,21,42,112,7,14,21,63,126,168,
252,336,64,3,42,42,48,63,63,126,168,168,168,504,56,84,112,7,14,21,63,126,168,
252,64,84,168,168,21,42,7,56,84,24,48,1,21,24,7,1,1],[1,21,42,112,7,14,21,63,
126,168,252,336,64,3,42,42,48,63,63,126,168,168,168,504,28,28,84,112,7,14,21,
63,126,168,252,64,84,84,84,168,21,42,7,28,28,84,24,48,1,21,24,7,1,1],[1,7,84,
112,7,28,42,42,56,84,84,168,112,224,64,1,21,21,14,14,84,42,84,42,84,168,168,
56,28,112,112,7,21,21,42,42,42,84,84,64,56,28,56,56,56,56,112,7,7,21,42,42,7,
28,56,8,21,7,7,14,8,16,7,7,1],[1,7,42,42,112,7,14,14,28,21,21,42,42,42,84,28,
84,84,112,112,112,64,1,7,7,21,21,14,42,42,21,42,21,42,84,42,42,42,84,84,84,28,
28,28,56,112,56,7,21,21,21,21,21,21,42,42,42,42,42,64,28,28,28,28,28,28,28,28,
28,56,56,56,7,7,21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,21,24,
42,12,36,72,64,7,14,21,4,63,84,84,12,18,18,126,24,168,36,36,36,36,36,36,252,
36,72,72,72,72,72,72,72,72,144,144,144,144,144,144,64,192,192,3,3,42,42,42,48,
63,63,9,84,18,18,18,18,18,18,18,126,18,18,18,18,18,126,24,24,24,168,168,168,
24,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,36,36,36,36,36,36,
36,36,48,48,48,72,72,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,288,112,224,64,192,192,3,7,14,21,21,6,6,8,9,9,9,9,
9,63,9,12,18,18,126,18,18,18,18,18,18,18,18,18,126,18,18,18,126,18,18,18,18,
18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,126,18,18,24,168,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,252,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,112,48,48,64,96,96,96,
192,21,3,21,42,6,6,6,6,6,6,42,9,9,9,9,9,9,9,63,12,18,18,18,18,18,18,18,18,126,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
144,28,56,32,48,48,48,96,96,1,1,21,21,6,6,6,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,28,12,12,24,24,24,48,48,3,3,3,6,9,9,9,
9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,4,12,12,24,24,1,3,
3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,21,42,36,108,64,7,14,21,4,63,12,48,54,54,126,
24,168,36,36,108,108,252,108,48,144,216,216,72,72,216,216,144,64,192,192,3,9,
42,42,48,63,63,27,36,36,54,54,54,54,54,54,54,54,54,54,126,72,24,24,72,72,168,
72,168,168,72,36,36,108,108,36,108,36,108,108,108,48,48,216,216,72,216,216,72,
504,72,216,72,72,72,216,216,216,216,216,216,72,72,432,144,432,144,144,144,144,
144,288,32,48,64,64,192,192,192,7,3,14,9,21,18,6,18,6,18,8,27,27,27,27,27,63,
27,12,12,54,54,18,18,54,54,54,54,54,18,126,18,18,54,54,54,18,54,54,54,54,54,
54,54,54,24,168,108,108,36,36,108,108,36,36,108,108,108,108,36,36,108,108,36,
108,108,36,108,108,108,36,108,108,108,36,108,108,108,252,108,216,216,72,72,72,
72,216,72,72,72,216,216,72,72,72,72,72,216,72,144,432,432,144,144,432,432,144,
144,48,48,48,64,64,96,96,96,192,21,9,18,42,6,18,6,18,18,27,27,27,27,27,27,27,
27,27,36,36,12,36,54,18,18,54,18,54,54,54,54,54,54,18,54,54,54,54,54,18,18,54,
54,18,18,54,54,18,54,54,54,18,54,54,54,18,54,18,24,24,36,36,108,108,108,108,
36,36,36,108,36,108,36,36,108,108,108,108,108,108,108,108,36,108,108,108,36,
36,108,108,36,36,36,36,36,108,108,36,108,108,36,36,36,108,108,108,108,72,72,
72,72,216,72,72,72,72,72,144,4,24,24,32,32,48,48,48,96,96,1,1,6,9,9,9,3,6,18,
18,18,27,9,27,27,27,27,27,27,9,54,54,18,18,18,18,54,54,18,18,54,54,54,54,18,
18,18,54,18,18,54,54,18,54,18,18,54,18,54,54,18,108,36,36,108,36,108,36,36,36,
108,36,36,108,108,108,108,36,36,36,36,4,12,12,24,24,24,24,48,48,9,3,3,18,27,9,
9,9,9,9,9,27,18,54,18,18,18,18,18,18,54,36,1,4,12,12,24,24,1,3,3,9,9,9,9,1,3,
3,4,3,1,3,3,1],[1,21,42,36,108,64,7,14,21,12,63,36,16,54,54,126,72,168,108,
108,108,108,252,108,48,48,216,216,216,216,216,216,144,64,192,192,3,9,42,42,48,
63,63,27,12,12,54,54,54,54,54,54,54,54,54,54,126,24,72,72,24,72,168,24,168,
168,72,108,108,36,108,108,108,108,108,36,108,144,48,216,216,216,72,216,216,
504,72,216,72,216,216,72,72,216,216,216,216,216,216,432,144,432,432,144,432,
144,144,288,16,32,48,48,64,192,192,7,1,14,3,21,6,18,6,18,6,24,27,27,9,27,9,63,
27,12,36,18,54,54,54,54,18,54,54,54,54,126,54,54,54,18,18,54,18,54,54,54,54,
54,54,18,72,168,108,36,36,108,36,108,108,36,108,36,36,108,108,36,108,108,108,
108,108,108,108,36,36,36,108,108,108,36,108,36,108,252,108,72,72,72,72,72,72,
72,72,72,72,72,72,216,216,216,72,72,72,72,144,432,432,144,144,432,432,144,432,
16,48,48,48,48,48,48,48,48,64,96,96,96,96,96,96,96,21,9,6,42,18,18,18,18,6,9,
9,27,27,9,9,27,27,27,12,12,12,12,18,54,54,18,54,18,18,54,18,18,54,54,18,18,54,
18,54,54,54,18,18,54,54,54,54,18,54,54,18,54,18,18,18,54,18,18,72,72,36,36,36,
108,36,36,108,36,36,36,108,36,36,36,36,36,36,36,108,36,36,108,36,36,36,36,36,
36,36,108,36,108,36,36,36,36,36,36,108,108,36,108,36,36,36,108,108,72,72,72,
72,216,72,72,72,72,72,144,4,16,32,48,48,48,48,48,48,48,48,96,96,96,96,96,96,1,
3,2,3,3,3,3,18,6,6,6,27,9,9,9,9,27,9,9,27,18,18,18,54,54,18,54,54,18,54,54,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,54,54,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,4,12,12,12,12,16,48,48,9,9,3,6,9,9,9,9,
9,9,27,9,18,18,18,18,18,18,18,18,18,36,4,8,12,12,12,12,12,12,12,12,24,24,3,1,
3,9,9,9,9,4,12,12,3,1,1],[1,21,24,42,12,36,72,64,7,14,21,63,84,84,16,18,18,
126,168,36,36,36,36,252,36,48,72,72,72,72,72,72,144,144,144,144,144,144,64,
192,192,3,3,42,42,42,48,63,63,9,84,12,12,18,18,18,18,18,18,18,126,18,18,18,18,
18,126,24,24,24,168,24,168,168,24,36,36,36,36,36,36,36,36,36,36,252,36,36,36,
36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,96,96,144,144,144,144,144,144,144,144,
144,144,144,144,288,288,112,224,64,192,192,3,7,1,14,21,3,21,6,6,6,9,9,9,9,9,9,
9,63,9,12,12,12,12,18,18,18,18,126,18,18,18,18,18,18,18,18,126,18,18,18,126,
18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,126,18,18,24,168,24,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,
144,144,144,144,144,144,144,112,48,48,64,96,96,96,192,21,3,21,6,42,6,6,6,42,9,
9,9,9,9,9,9,9,9,9,9,63,12,12,12,12,12,18,18,18,18,18,18,126,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,144,28,56,16,48,48,96,96,1,2,3,3,21,3,21,6,6,6,9,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,28,12,12,16,24,24,24,
48,3,3,3,3,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,
1,3,3,12,3,1,3,3,1],[1,21,8,42,12,36,24,64,7,14,21,4,63,28,28,12,18,18,126,24,
168,36,36,36,12,36,12,252,36,72,24,72,24,72,72,72,72,48,48,48,48,48,48,192,
128,3,3,42,42,14,48,63,63,9,28,18,6,18,18,6,18,18,42,18,18,18,18,18,126,24,24,
24,168,168,168,24,12,36,12,36,12,12,12,12,12,12,12,12,12,84,12,12,36,36,12,36,
12,36,12,36,12,36,48,16,16,72,72,72,72,72,24,24,504,72,24,72,72,24,24,24,72,
24,24,72,24,24,72,24,24,24,72,72,72,24,48,48,144,48,144,48,48,144,48,48,48,48,
144,48,48,48,48,48,48,96,32,48,64,64,64,64,192,1,7,14,7,21,6,6,8,3,9,9,9,3,63,
9,12,6,18,42,18,6,6,18,18,6,6,18,18,42,18,18,6,126,18,18,18,6,6,6,6,6,6,18,6,
42,6,18,6,6,18,18,6,6,18,18,18,6,42,6,6,24,168,12,12,12,12,12,36,12,12,12,12,
12,12,36,12,36,36,12,12,12,36,12,12,12,12,12,36,36,12,12,36,12,36,36,12,12,12,
36,12,12,12,12,36,36,12,36,12,12,12,36,36,36,36,36,12,12,12,12,252,12,36,12,
12,24,24,24,24,24,24,24,24,24,24,72,72,72,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,48,144,48,48,144,48,144,144,48,48,48,48,48,48,
48,48,144,48,96,96,32,64,64,64,21,3,7,42,2,6,6,6,6,2,14,3,9,9,3,9,9,9,21,4,6,
6,18,6,18,6,18,6,42,6,6,6,18,6,6,6,6,6,6,18,18,6,6,6,6,6,18,18,6,6,18,18,18,
18,6,6,18,18,6,6,6,6,6,18,6,6,18,6,6,6,6,6,6,18,6,6,6,6,6,6,18,6,6,6,6,6,24,
24,12,12,12,12,12,12,12,12,12,12,36,12,12,36,12,12,36,12,12,12,12,12,12,12,12,
12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,36,12,12,12,
12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,
12,12,36,12,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,48,4,24,24,32,32,16,
48,16,1,1,7,7,2,6,2,3,3,9,3,3,3,3,9,3,9,3,6,6,18,6,6,6,6,6,18,6,18,18,6,6,6,6,
18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,8,8,24,8,16,16,1,
3,3,2,3,3,3,3,3,3,9,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,8,8,1,1,1,3,3,
3,3,3,2,4,1,1,1,1,1],[1,21,42,12,36,48,64,7,14,21,4,63,12,18,18,126,24,168,36,
36,36,24,36,24,252,36,72,48,72,48,72,72,72,72,48,48,96,96,48,48,192,128,3,3,
42,42,48,63,63,9,18,12,18,18,12,18,18,18,18,18,18,18,126,24,24,24,168,168,168,
24,36,24,36,24,24,12,24,24,12,36,36,36,12,36,36,12,36,48,72,72,72,72,24,72,
504,72,24,24,24,24,72,72,24,24,24,48,72,48,72,48,48,72,48,48,72,72,72,48,96,
144,144,48,48,144,48,96,48,48,48,96,48,144,48,96,96,96,96,192,32,48,64,64,64,
64,192,7,14,21,6,6,8,6,9,9,9,6,63,9,12,18,6,18,12,12,18,18,12,18,18,18,18,6,
126,18,18,18,18,6,18,12,18,18,18,6,18,18,12,24,168,24,12,12,24,36,12,24,12,36,
12,12,36,36,24,12,36,12,12,24,24,36,36,12,24,36,24,36,36,12,36,36,36,36,36,36,
36,36,12,36,12,24,12,12,252,36,12,24,24,24,48,24,48,24,48,24,24,48,24,24,72,
24,72,24,72,24,24,24,24,24,24,24,24,24,24,48,48,48,48,24,24,24,24,48,48,96,48,
48,48,48,144,48,48,48,144,48,96,48,144,144,96,96,48,144,48,96,32,96,64,64,64,
64,21,3,42,6,6,6,6,6,9,9,6,9,9,9,6,18,12,18,6,18,12,18,12,6,18,18,12,6,18,18,
18,18,18,18,18,18,18,18,18,6,12,18,6,24,24,12,12,12,12,36,12,36,12,12,12,12,
36,12,12,12,12,24,24,12,12,36,36,12,12,12,12,12,24,12,12,12,12,12,12,12,12,36,
12,12,36,12,12,24,12,12,12,12,24,36,12,36,36,12,12,12,12,12,12,12,24,12,12,36,
12,36,48,24,24,24,24,72,24,24,48,24,48,24,24,24,24,24,48,48,48,96,48,48,4,24,
24,32,32,16,48,16,32,32,1,1,6,3,9,3,6,3,9,3,3,3,6,9,6,6,6,18,6,6,6,18,18,18,6,
18,6,12,18,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,18,18,12,12,12,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,12,24,8,8,8,24,16,32,32,3,3,3,3,
6,3,9,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,3,2,4,3,1,
1,1,1],[1,21,42,12,36,48,64,7,14,21,4,63,12,18,18,126,24,168,36,36,36,24,36,
24,252,36,72,48,72,48,72,72,72,72,48,48,96,96,48,48,128,192,3,3,42,42,48,63,
63,9,18,12,18,18,12,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,24,36,
24,24,12,24,24,12,36,36,36,12,36,36,12,36,48,72,72,72,72,24,72,504,72,24,24,
24,24,72,72,24,24,24,48,72,48,72,48,48,72,48,48,72,72,72,48,96,144,144,48,48,
144,48,96,48,48,48,96,48,144,48,96,96,96,96,192,112,224,64,64,64,7,14,21,6,6,
8,6,9,9,9,6,63,9,12,18,6,18,12,12,18,18,12,18,18,18,18,6,126,18,18,18,18,6,18,
12,18,18,18,6,18,18,12,24,168,24,12,12,24,36,12,24,12,36,12,12,36,36,24,12,36,
12,12,24,24,36,36,12,24,36,24,36,36,12,36,36,36,36,36,36,36,36,12,36,12,24,12,
12,252,36,12,24,24,24,48,24,48,24,48,24,24,48,24,24,72,24,72,24,72,24,24,24,
24,24,24,24,24,24,24,48,48,48,48,24,24,24,24,48,48,96,48,48,48,48,144,48,48,
48,144,48,96,48,144,144,96,96,48,144,32,48,96,96,64,128,64,21,3,42,6,6,6,6,6,
9,9,6,9,9,9,6,18,12,18,6,18,12,18,12,6,18,18,12,6,18,18,18,18,18,18,18,18,18,
18,18,6,12,18,6,24,24,12,12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,24,24,
12,12,36,36,12,12,12,12,12,24,12,12,12,12,12,12,12,12,36,12,12,36,12,12,24,12,
12,12,12,24,36,12,36,36,12,12,12,12,12,12,12,24,12,12,36,12,36,48,24,24,24,24,
72,24,24,48,24,48,24,24,24,24,24,48,48,48,96,48,48,28,56,32,16,16,48,32,32,1,
1,6,3,9,3,6,3,9,3,3,3,6,9,6,6,6,18,6,6,6,18,18,18,6,18,6,12,18,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,6,6,18,18,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,8,12,16,24,24,16,32,32,3,3,3,3,6,3,9,3,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,21,42,4,12,96,64,
7,14,21,63,6,6,126,168,12,48,12,48,252,12,16,24,96,24,96,24,24,48,192,48,48,
192,48,48,256,64,3,1,42,42,48,63,63,3,6,24,6,6,24,6,6,6,6,6,6,6,126,8,168,168,
168,8,12,48,12,48,48,12,48,12,48,12,12,12,12,12,12,12,12,24,24,24,24,504,24,
24,24,24,24,24,24,24,24,24,96,24,96,24,24,96,96,24,96,24,96,24,48,192,48,48,
48,48,48,48,192,48,192,48,192,48,96,96,96,384,112,224,64,64,64,7,14,21,12,3,3,
3,12,63,3,4,6,6,24,24,6,24,6,6,6,6,126,6,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6,
24,168,48,12,12,12,12,48,12,12,12,48,12,12,12,12,12,12,12,48,12,12,12,12,12,
48,12,48,12,48,12,12,48,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
48,12,12,252,12,12,12,24,24,96,24,24,24,96,96,96,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,96,96,96,24,24,24,96,24,24,24,48,48,192,48,48,48,48,48,48,
192,48,48,192,48,48,192,64,16,32,32,128,256,64,21,1,42,2,2,12,3,3,12,3,3,3,6,
6,24,6,24,6,6,24,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,6,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,48,48,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,48,12,12,12,12,12,12,12,12,12,12,48,12,12,12,12,12,12,48,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,48,12,12,12,12,12,
12,24,96,24,24,24,24,24,24,24,24,96,24,24,96,24,24,24,24,24,96,24,192,28,56,
16,16,16,32,32,1,1,3,3,3,12,3,3,3,3,3,3,12,6,6,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,24,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,48,
12,12,12,12,12,12,12,12,12,48,12,24,24,24,24,24,24,16,4,32,8,8,64,16,1,3,3,3,
3,12,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,4,1,
4,3,1,1,1,1],[1,13,8,18,36,60,72,64,3,2,9,4,15,12,28,12,48,30,54,42,24,24,36,
36,60,36,60,36,60,36,48,48,72,24,72,72,72,72,120,120,48,48,48,144,48,144,48,
144,48,144,144,64,64,64,128,128,1,9,6,6,14,9,15,15,12,36,12,30,18,30,18,18,6,
18,18,30,18,18,18,6,6,24,24,24,24,8,24,24,32,24,12,36,12,36,36,12,36,36,36,36,
60,36,36,12,36,36,36,12,36,36,36,36,36,36,36,36,36,60,36,36,36,60,48,16,16,48,
48,72,72,24,72,24,72,72,24,48,24,48,24,72,72,72,24,72,72,72,72,72,72,72,48,
120,72,24,120,24,24,24,24,72,72,72,24,24,72,72,72,72,96,96,48,48,48,96,48,48,
96,48,144,48,48,144,48,48,48,144,48,48,48,48,48,144,144,48,48,48,48,48,48,48,
48,96,96,96,96,96,96,96,96,96,96,96,32,48,64,64,64,64,192,128,128,1,1,3,3,3,3,
6,6,6,8,9,3,9,9,9,15,9,3,15,12,12,12,12,12,12,12,18,18,18,6,18,6,6,18,12,18,6,
6,6,18,18,6,18,18,12,6,6,6,6,6,6,6,18,12,6,30,6,18,18,18,18,18,6,18,18,30,18,
6,6,18,18,18,6,18,6,18,6,18,24,24,24,12,12,12,36,12,12,12,12,12,12,12,12,12,
36,12,24,12,36,36,36,12,12,12,12,36,36,12,36,12,12,36,36,36,36,12,12,12,36,12,
36,12,12,24,12,36,12,36,12,36,12,12,12,24,12,12,12,12,12,24,12,12,36,12,12,12,
12,36,36,60,12,36,12,36,36,36,12,12,12,12,12,36,60,36,36,36,24,36,12,12,12,36,
12,12,36,12,12,36,24,12,36,12,36,24,24,24,72,72,24,24,24,24,72,72,24,24,24,72,
24,24,24,24,24,24,72,24,24,24,72,24,72,72,24,72,24,24,72,24,24,72,24,72,72,72,
24,24,72,24,24,24,24,72,24,24,72,24,72,24,24,24,72,72,24,72,72,24,24,24,24,24,
24,24,72,72,72,72,24,72,72,24,24,72,24,24,24,24,72,72,72,72,24,24,24,72,24,24,
72,24,72,72,72,24,72,72,72,72,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,96,48,48,48,48,48,96,48,48,48,48,48,48,48,48,48,144,96,96,96,96,48,16,
16,64,32,32,32,32,32,64,64,64,64,64,64,64,1,3,3,2,2,2,6,2,6,2,9,9,3,3,3,3,15,
9,3,3,9,3,12,12,12,4,12,18,6,6,6,18,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,12,6,6,6,6,6,12,18,6,18,6,18,6,6,6,6,6,6,
6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,24,24,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,12,
12,12,36,12,12,24,12,36,36,12,12,24,36,36,12,12,12,12,12,12,24,12,12,12,12,12,
12,12,12,36,12,12,12,36,36,12,36,12,12,12,12,12,12,36,12,12,36,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,36,
36,36,36,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,
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,
24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,
24,24,24,24,24,24,24,24,72,72,24,24,24,24,24,24,72,72,24,24,24,24,24,24,24,24,
24,24,72,24,24,24,24,24,72,24,24,72,24,24,24,24,24,24,24,72,72,24,24,72,24,24,
24,72,48,48,48,48,48,4,24,24,32,16,16,16,32,32,32,32,64,64,1,3,3,3,1,2,2,3,3,
3,9,3,3,3,9,3,3,3,3,3,3,3,3,3,3,12,12,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,
6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,4,4,4,8,8,8,8,8,8,8,8,24,8,16,16,16,32,3,1,3,2,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,1,4,4,4,8,8,8,8,8,8,8,8,8,8,1,3,
3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,4,8,3,1,1,1,2,2,1],[1,21,24,42,4,
12,24,64,7,14,21,63,84,84,6,6,126,168,12,12,12,12,252,12,16,24,24,24,24,24,24,
48,48,48,48,48,48,48,64,64,64,3,1,42,42,42,48,63,63,3,84,6,6,6,6,6,6,6,126,6,
6,6,6,6,126,8,168,168,168,8,12,12,12,12,12,12,12,12,252,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,504,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,96,96,96,112,224,64,64,64,3,7,14,21,
21,3,3,3,3,3,63,3,4,6,6,126,6,6,6,6,6,6,6,126,6,6,126,6,6,6,126,6,6,6,6,6,6,6,
6,6,6,126,6,168,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,252,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,112,
16,16,32,32,32,64,64,21,1,21,42,2,2,42,3,3,3,3,3,3,3,63,6,6,126,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,28,56,16,16,16,32,32,1,
21,1,21,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,28,4,4,8,8,8,16,16,3,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,
4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,21,42,20,60,64,7,14,21,4,63,12,
16,30,30,126,24,168,36,36,60,60,252,60,16,48,120,120,72,72,120,120,48,320,3,5,
42,42,48,63,63,15,12,12,30,30,30,30,30,30,30,30,30,30,126,24,24,24,24,40,168,
24,168,168,40,36,36,36,60,36,60,36,60,36,60,48,16,120,120,72,72,120,72,504,24,
120,24,72,72,72,72,120,120,120,120,72,72,240,48,240,144,48,144,48,48,96,112,
224,64,64,64,7,1,14,3,21,6,6,6,6,6,8,15,15,9,15,9,63,15,4,12,18,30,18,18,30,
18,30,30,30,18,126,18,18,30,18,18,18,18,30,30,30,30,30,30,18,24,168,60,36,12,
36,36,60,36,12,60,36,36,60,36,12,60,60,36,60,60,36,60,36,36,12,60,60,60,12,60,
36,60,252,60,72,72,24,24,24,24,72,24,24,24,72,72,72,72,72,24,24,72,24,48,240,
240,48,48,240,240,48,144,80,160,160,64,21,5,6,42,6,10,6,10,6,9,9,15,15,9,9,15,
15,15,12,12,4,12,18,18,18,18,18,18,18,30,18,18,30,18,18,18,30,18,30,18,18,18,
18,18,18,30,30,6,30,30,18,18,18,18,18,18,18,6,24,24,12,12,36,60,36,36,36,12,
12,36,36,36,12,12,36,36,36,36,60,36,36,60,12,36,36,36,12,12,36,60,12,36,12,12,
12,36,36,12,60,60,12,36,12,36,36,60,60,24,24,24,24,120,24,24,24,24,24,48,28,
56,16,32,16,48,1,1,2,3,3,3,1,6,6,6,6,15,3,9,9,9,15,9,9,9,18,18,6,18,18,6,30,
30,6,18,30,18,18,18,6,6,6,18,6,6,18,18,6,18,6,6,18,6,18,30,18,36,12,12,36,12,
36,12,12,12,36,12,12,36,36,36,36,12,12,12,12,20,40,40,16,5,3,1,6,9,3,3,3,3,3,
9,9,6,18,6,6,6,6,6,6,18,12,1,4,8,4,12,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,13,18,
36,60,64,3,2,9,4,15,16,12,48,30,54,42,24,24,36,36,60,60,60,36,48,48,72,48,72,
72,72,120,120,48,96,64,64,64,1,9,6,6,9,15,15,36,12,30,30,18,6,18,24,30,18,18,
18,6,6,24,24,24,24,8,24,24,32,24,36,24,36,60,36,36,36,36,60,36,60,48,48,48,72,
72,24,72,72,48,24,48,72,72,72,48,120,48,120,24,48,72,72,72,72,96,48,96,96,144,
96,48,96,48,144,144,48,96,32,48,64,64,64,64,192,1,3,4,3,3,6,6,6,8,3,9,9,9,15,
3,15,12,12,12,18,12,18,12,12,18,12,12,6,6,18,6,12,6,6,6,12,30,6,18,6,30,18,18,
18,6,12,18,24,24,12,24,24,36,36,24,24,12,36,36,12,24,36,24,36,24,24,12,36,12,
12,24,12,24,24,24,12,12,36,36,60,36,12,12,12,12,12,60,24,24,24,12,24,24,72,24,
24,24,24,72,24,72,24,24,24,24,24,72,72,72,72,72,24,24,72,48,48,96,48,48,48,48,
96,48,48,144,48,16,16,64,32,32,32,64,64,1,3,2,2,6,6,9,3,3,3,6,15,9,3,3,9,6,12,
12,6,18,6,6,18,18,6,12,6,6,6,6,6,6,6,6,6,12,6,6,12,6,12,18,6,6,18,6,12,12,12,
6,6,6,24,12,12,12,12,12,12,12,12,36,12,12,24,12,36,12,12,12,24,36,24,12,24,12,
24,12,24,12,12,12,12,12,12,24,12,24,36,12,12,12,12,24,12,12,12,12,12,12,24,12,
24,12,12,12,24,24,48,24,24,24,24,72,24,24,24,24,48,4,24,24,32,16,16,16,32,32,
1,3,3,1,3,3,3,3,3,6,3,6,3,3,3,3,3,6,6,18,6,6,12,6,18,6,6,6,6,6,6,6,12,6,6,6,6,
12,12,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,
12,12,12,4,4,4,8,8,8,24,16,16,1,3,3,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,21,42,12,36,48,64,7,14,21,
63,16,18,18,126,168,36,24,36,24,252,36,48,72,48,72,48,72,72,48,48,96,48,48,96,
192,128,3,3,42,42,48,63,63,9,12,12,18,12,18,18,12,18,18,18,18,18,18,18,126,24,
24,24,168,24,168,168,24,12,24,12,24,24,36,24,12,24,12,36,36,36,36,36,72,72,72,
72,24,24,504,72,24,24,72,72,48,72,48,24,72,48,48,72,48,24,48,72,48,96,144,48,
144,48,48,96,48,48,96,48,96,48,96,96,192,16,32,48,48,64,64,64,7,1,14,3,21,6,6,
6,6,9,9,9,9,9,6,63,9,18,18,12,12,18,12,18,18,18,18,126,18,6,6,6,6,18,6,18,18,
18,12,18,18,6,6,18,18,18,18,6,12,168,24,12,12,24,36,12,12,12,24,12,36,12,12,
36,36,24,12,36,12,12,24,36,12,24,36,36,12,24,36,24,36,12,36,12,12,36,36,36,36,
12,36,36,36,36,36,36,24,12,12,252,12,36,12,12,72,72,48,48,48,24,72,24,48,72,
24,72,24,24,24,72,24,24,48,48,48,24,24,48,24,24,24,48,96,48,48,48,144,48,48,
144,48,48,96,48,144,144,96,48,48,48,96,48,48,48,96,96,32,96,32,96,96,32,64,64,
21,3,6,42,6,6,6,9,6,9,9,9,6,9,9,9,9,9,12,12,12,6,18,12,18,6,18,18,6,12,6,18,
12,6,6,18,18,18,18,18,6,12,6,18,18,18,18,18,18,18,6,18,6,6,18,6,18,18,18,18,6,
12,18,6,12,12,12,12,36,36,36,36,36,12,12,36,12,12,12,12,36,24,24,36,36,36,12,
36,36,12,36,36,36,12,36,36,12,12,12,12,12,12,24,12,12,36,12,36,12,24,12,12,12,
12,36,36,24,12,36,12,12,36,12,12,12,12,12,12,12,36,12,12,36,12,12,12,24,12,12,
12,12,36,12,36,24,24,48,24,24,24,72,24,24,24,24,48,24,24,48,24,24,24,24,24,24,
48,24,96,48,4,16,32,16,16,48,16,16,48,16,16,96,32,32,32,96,32,1,2,3,3,3,6,6,6,
3,3,9,6,9,3,9,9,9,3,6,9,9,6,6,18,6,18,6,6,6,18,18,6,6,12,18,6,18,18,18,6,6,6,
18,6,18,6,18,6,18,6,6,6,18,12,6,18,18,6,36,12,36,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,36,36,36,
12,12,12,12,36,12,12,12,12,12,12,12,24,12,12,12,12,8,16,16,16,32,32,3,6,3,9,3,
3,3,3,6,3,9,3,3,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,12,12,12,12,12,12,12,
12,12,12,4,8,4,12,4,4,4,4,12,4,24,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[
1,13,18,12,84,48,64,3,2,9,4,15,16,12,42,18,42,24,24,36,36,36,24,84,24,60,60,
96,120,120,48,72,72,72,72,48,48,96,96,96,48,48,64,128,128,1,3,6,6,9,15,21,24,
18,12,18,30,12,18,6,24,18,30,6,30,18,6,48,24,24,24,24,8,24,32,24,36,36,24,24,
12,24,24,12,36,36,36,12,36,12,24,12,12,48,96,24,72,96,72,24,72,48,48,96,24,24,
24,24,72,72,24,24,120,48,24,72,72,48,48,120,48,72,72,72,48,48,96,96,96,48,48,
144,48,48,48,96,48,96,144,48,48,96,96,96,192,192,96,96,32,48,64,64,64,64,192,
1,4,6,3,6,6,6,6,8,6,9,15,6,3,6,3,9,12,30,6,6,12,18,18,24,18,18,12,6,6,12,6,6,
18,6,12,6,12,6,18,12,6,6,6,6,6,18,12,12,12,24,12,12,12,12,24,12,12,36,12,12,
24,36,36,24,24,12,36,12,12,24,24,36,12,36,12,24,24,24,36,24,12,12,24,24,12,12,
24,12,24,12,12,12,24,12,12,48,12,24,12,12,24,12,24,12,96,24,48,48,24,48,48,24,
48,24,24,24,24,48,48,24,24,48,48,96,72,72,24,72,24,72,24,24,24,24,72,24,48,24,
24,24,24,24,24,24,24,48,48,48,96,48,48,48,48,96,48,48,48,48,96,48,96,48,96,48,
48,96,48,144,32,16,32,32,32,64,128,64,64,64,64,1,3,6,2,2,6,6,6,9,3,3,3,3,6,12,
6,12,18,6,6,18,6,6,6,6,6,12,18,12,6,12,18,6,6,6,6,6,6,6,12,12,6,12,12,6,24,6,
6,12,6,6,12,24,24,12,24,12,24,24,24,36,12,24,12,12,12,24,24,12,12,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,12,24,12,24,12,12,
24,12,12,12,12,12,12,48,24,48,24,24,24,24,24,24,24,24,24,24,48,48,24,48,24,48,
24,24,24,48,96,48,48,48,4,24,24,32,16,16,16,32,32,1,1,3,3,3,6,3,6,3,3,3,6,3,3,
6,6,6,6,6,6,6,6,12,6,6,12,6,6,6,12,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,12,6,6,6,
6,6,6,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,24,12,24,12,12,
24,24,24,24,24,24,24,4,8,8,8,16,8,8,8,32,16,32,1,3,3,3,3,6,6,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,13,
8,18,12,84,24,64,3,2,9,4,15,12,28,12,42,18,42,24,24,36,36,36,12,84,12,60,60,
96,120,72,120,24,72,72,72,72,96,48,48,48,48,48,48,64,128,128,1,3,6,6,14,9,15,
21,12,24,18,6,18,30,6,18,6,18,18,30,6,30,18,6,48,24,24,24,24,8,24,32,24,12,36,
36,36,12,12,12,12,12,12,12,12,12,36,12,12,36,36,12,36,12,36,12,12,12,24,12,48,
16,16,96,24,72,96,72,72,24,24,48,48,96,24,72,72,24,24,120,48,72,72,24,24,72,
24,24,120,24,24,24,72,72,72,24,48,96,48,96,96,48,48,144,48,48,48,48,144,96,
144,48,48,96,48,48,48,96,192,32,48,64,64,64,64,192,1,1,3,6,3,6,6,6,6,8,3,9,15,
6,3,3,3,9,12,30,6,6,6,18,18,18,18,6,18,24,18,18,18,12,6,6,12,6,6,18,6,6,6,6,6,
6,6,12,6,6,12,18,6,18,6,6,6,6,6,6,6,6,18,6,6,12,6,6,24,12,36,12,12,12,12,12,
12,36,12,12,12,12,36,12,24,36,36,24,12,12,12,36,12,12,12,24,12,12,36,12,36,12,
24,12,36,12,24,12,12,36,12,24,12,12,12,12,12,12,12,12,24,36,12,12,12,12,12,24,
12,48,12,12,12,12,12,12,24,12,12,96,24,24,48,48,24,24,24,48,24,24,48,48,24,24,
48,96,72,24,72,72,72,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,48,96,48,48,48,48,96,48,48,48,48,96,96,48,48,96,48,48,48,48,48,48,48,96,48,
48,144,32,16,32,32,64,32,128,64,64,64,1,3,3,6,2,2,2,2,2,6,3,6,9,3,9,3,3,3,3,4,
12,6,12,6,18,6,6,6,18,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,12,6,18,6,6,6,6,12,18,6,
6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,12,6,6,18,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6,6,
12,6,6,6,24,24,12,12,12,12,12,12,12,12,12,12,24,24,12,12,24,36,12,12,12,12,12,
24,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,
12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,
12,12,12,12,12,24,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,48,24,48,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,48,
24,24,24,24,96,48,4,24,24,32,16,16,16,32,32,1,3,1,2,2,3,9,3,6,3,9,3,3,6,3,3,3,
3,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,12,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,12,12,12,12,12,24,12,12,12,4,8,8,16,8,8,8,8,32,16,16,3,1,2,3,3,3,
3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,1,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,2,2,4,8,3,1,1,1,1],[
1,21,8,42,12,36,24,64,7,14,21,63,28,28,16,18,18,126,168,36,12,36,12,252,36,48,
72,24,72,24,72,72,48,48,48,48,48,48,192,128,3,3,42,42,14,48,63,63,9,28,12,12,
18,6,18,18,6,18,18,42,18,18,18,18,18,126,24,24,24,168,24,168,168,24,12,12,12,
12,12,12,36,12,12,12,84,12,12,36,12,36,12,12,12,36,12,36,12,36,72,72,72,72,24,
504,72,24,24,24,24,24,24,24,72,72,24,24,72,24,72,24,24,72,24,24,72,24,32,32,
48,144,144,48,48,48,48,48,48,48,48,48,96,96,16,32,48,48,64,64,64,1,7,1,14,7,3,
21,6,6,6,3,9,9,9,9,9,3,63,9,4,4,4,4,18,6,18,6,42,6,6,18,6,6,18,18,18,42,18,6,
6,126,18,6,18,18,6,18,42,6,6,18,6,6,18,18,18,6,18,18,6,42,18,6,8,168,8,12,12,
12,12,12,36,12,12,12,36,12,12,12,36,36,12,12,12,12,36,12,12,12,12,36,12,36,36,
12,12,12,36,12,36,12,12,12,36,12,12,36,12,36,36,36,12,12,12,12,36,36,36,36,12,
36,12,12,12,36,12,12,12,12,12,12,252,12,36,12,12,72,72,24,24,24,24,24,24,24,
24,72,24,24,24,24,24,24,72,24,72,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,144,144,48,144,
144,48,48,48,48,48,48,96,96,96,32,96,32,32,96,64,21,3,7,6,42,6,6,6,14,9,3,9,9,
9,3,9,9,9,9,9,21,4,12,4,12,12,6,18,6,18,18,18,42,6,18,6,6,6,6,18,18,18,18,18,
6,6,6,18,18,18,6,18,18,6,6,18,18,6,6,6,18,18,6,18,6,6,18,18,6,18,6,6,6,18,6,6,
8,12,12,12,36,12,36,36,12,36,12,12,12,36,12,36,12,12,36,12,12,36,36,36,12,12,
12,36,36,12,12,36,12,36,12,36,12,36,36,12,12,12,12,12,12,12,12,12,12,36,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,12,
12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,36,12,12,12,12,36,12,12,36,24,24,
24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,4,16,32,
16,16,48,16,16,16,48,16,96,96,32,32,1,2,3,3,7,3,7,6,6,6,3,9,3,3,9,3,3,9,9,3,9,
3,3,3,9,9,3,4,4,4,4,18,6,18,6,6,6,6,18,18,6,6,6,6,18,18,18,6,18,6,6,6,6,18,6,
18,18,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,18,6,18,6,36,36,12,12,12,12,36,12,12,12,
12,12,12,12,12,36,12,12,12,12,12,36,12,36,36,12,12,12,36,12,12,12,12,12,12,12,
12,12,24,24,12,12,12,8,16,16,16,32,1,1,3,1,2,6,3,9,3,3,3,3,3,3,3,3,3,3,3,9,3,
6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,12,12,4,8,4,12,4,4,4,12,4,4,24,
24,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,21,42,12,36,48,64,7,14,21,63,16,18,18,
126,168,36,24,36,24,252,36,48,72,48,72,48,72,72,48,48,96,48,48,96,128,192,3,3,
42,42,48,63,63,9,12,12,18,12,18,18,12,18,18,18,18,18,18,18,126,24,24,24,168,
24,168,168,24,12,24,12,24,24,36,24,12,24,12,36,36,36,36,36,72,72,72,72,24,24,
504,72,24,24,72,72,48,72,48,24,72,48,48,72,48,24,48,72,48,96,144,48,144,48,48,
96,48,48,96,48,96,48,96,96,192,112,224,64,64,64,7,1,14,3,21,6,6,6,6,9,9,9,9,9,
6,63,9,18,18,12,12,18,12,18,18,18,18,126,18,6,6,6,6,18,6,18,18,18,12,18,18,6,
6,18,18,18,18,6,12,168,24,12,12,24,36,12,12,12,24,12,36,12,12,36,36,24,12,36,
12,12,24,36,12,24,36,36,12,24,36,24,36,12,36,12,12,36,36,36,36,12,36,36,36,36,
36,36,24,12,12,252,12,36,12,12,72,72,48,48,48,24,72,24,48,72,24,72,24,24,24,
72,24,24,48,48,48,24,24,48,24,24,24,48,96,48,48,48,144,48,48,144,48,48,96,48,
144,144,96,48,48,48,96,32,48,96,96,64,128,64,21,3,6,42,6,6,6,9,6,9,9,9,6,9,9,
9,9,9,12,12,12,6,18,12,18,6,18,18,6,12,6,18,12,6,6,18,18,18,18,18,6,12,6,18,
18,18,18,18,18,18,6,18,6,6,18,6,18,18,18,18,6,12,18,6,12,12,12,12,36,36,36,36,
36,12,12,36,12,12,12,12,36,24,24,36,36,36,12,36,36,12,36,36,36,12,36,36,12,12,
12,12,12,12,24,12,12,36,12,36,12,24,12,12,12,12,36,36,24,12,36,12,12,36,12,12,
12,12,12,12,12,36,12,12,36,12,12,12,24,12,12,12,12,36,12,36,24,24,48,24,24,24,
72,24,24,24,24,48,24,24,48,24,24,24,24,24,24,48,24,96,48,28,56,16,16,16,32,32,
1,2,3,3,3,6,6,6,3,3,9,6,9,3,9,9,9,3,6,9,9,6,6,18,6,18,6,6,6,18,18,6,6,12,18,6,
18,18,18,6,6,6,18,6,18,6,18,6,18,6,6,6,18,12,6,18,18,6,36,12,36,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,24,12,12,12,
12,12,36,36,36,12,12,12,12,36,12,12,12,12,12,12,12,24,12,8,12,16,24,24,32,16,
3,6,3,9,3,3,3,3,6,3,9,3,3,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,12,12,12,12,
12,12,12,12,12,12,1,8,4,4,12,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,
21,42,12,36,48,64,7,14,21,63,16,18,18,126,168,36,24,36,24,252,36,48,72,48,72,
48,72,72,48,48,96,48,48,96,192,128,3,3,42,42,48,63,63,9,12,12,18,12,18,18,12,
18,18,18,18,18,18,18,126,24,24,24,168,24,168,168,24,12,24,12,24,24,36,24,12,
24,12,36,36,36,36,36,72,72,72,72,24,24,504,72,24,24,72,72,48,72,48,24,72,48,
48,72,48,24,48,72,48,96,144,48,144,48,48,96,48,48,96,48,96,48,96,96,192,16,16,
48,64,64,64,64,7,1,14,3,21,6,6,6,6,9,9,9,9,9,6,63,9,18,18,12,12,18,12,18,18,
18,18,126,18,6,6,6,6,18,6,18,18,18,12,18,18,6,6,18,18,18,18,6,12,168,24,12,12,
24,36,12,12,12,24,12,36,12,12,36,36,24,12,36,12,12,24,36,12,24,36,36,12,24,36,
24,36,12,36,12,12,36,36,36,36,12,36,36,36,36,36,36,24,12,12,252,12,36,12,12,
72,72,48,48,48,24,72,24,48,72,24,72,24,24,24,72,24,24,48,48,48,24,24,48,24,24,
24,48,96,48,48,48,144,48,48,144,48,48,96,48,144,144,96,48,48,48,96,48,48,48,
32,96,32,32,64,64,21,3,6,42,6,6,6,9,6,9,9,9,6,9,9,9,9,9,12,12,12,6,18,12,18,6,
18,18,6,12,6,18,12,6,6,18,18,18,18,18,6,12,6,18,18,18,18,18,18,18,6,18,6,6,18,
6,18,18,18,18,6,12,18,6,12,12,12,12,36,36,36,36,36,12,12,36,12,12,12,12,36,24,
24,36,36,36,12,36,36,12,36,36,36,12,36,36,12,12,12,12,12,12,24,12,12,36,12,36,
12,24,12,12,12,12,36,36,24,12,36,12,12,36,12,12,12,12,12,12,12,36,12,12,36,12,
12,12,24,12,12,12,12,36,12,36,24,24,48,24,24,24,72,24,24,24,24,48,24,24,48,24,
24,24,24,24,24,48,24,96,48,4,4,12,16,16,16,48,16,16,16,16,16,1,2,3,3,3,6,6,6,
3,3,9,6,9,3,9,9,9,3,6,9,9,6,6,18,6,18,6,6,6,18,18,6,6,12,18,6,18,18,18,6,6,6,
18,6,18,6,18,6,18,6,6,6,18,12,6,18,18,6,36,12,36,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,36,36,36,
12,12,12,12,36,12,12,12,12,12,12,12,24,12,12,12,12,24,8,8,8,16,16,16,3,6,3,9,
3,3,3,3,6,3,9,3,3,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,1,4,4,4,4,4,4,12,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,1,1],[
1,21,42,12,36,48,64,7,14,21,4,63,12,18,18,126,24,168,36,36,36,24,36,24,252,36,
72,48,72,48,72,72,72,72,48,48,96,96,48,48,192,128,3,3,42,42,48,63,63,9,18,12,
18,18,12,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,24,36,24,24,12,
24,24,12,36,36,36,12,36,36,12,36,48,72,72,72,72,24,72,504,72,24,24,24,24,72,
72,24,24,24,48,72,48,72,48,48,72,48,48,72,72,72,48,96,144,144,48,48,144,48,96,
48,48,48,96,48,144,48,96,96,96,96,192,16,16,16,48,48,64,64,64,7,14,21,6,6,8,6,
9,9,9,6,63,9,12,18,6,18,12,12,18,18,12,18,18,18,18,6,126,18,18,18,18,6,18,12,
18,18,18,6,18,18,12,24,168,24,12,12,24,36,12,24,12,36,12,12,36,36,24,12,36,12,
12,24,24,36,36,12,24,36,24,36,36,12,36,36,36,36,36,36,36,36,12,36,12,24,12,12,
252,36,12,24,24,24,48,24,48,24,48,24,24,48,24,24,72,24,72,24,72,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,24,24,24,24,48,48,96,48,48,48,48,144,48,48,48,
144,48,96,48,144,144,96,96,48,144,48,48,48,48,48,32,32,96,32,96,32,32,64,21,3,
42,6,6,6,6,6,9,9,6,9,9,9,6,18,12,18,6,18,12,18,12,6,18,18,12,6,18,18,18,18,18,
18,18,18,18,18,18,6,12,18,6,24,24,12,12,12,12,36,12,36,12,12,12,12,36,12,12,
12,12,24,24,12,12,36,36,12,12,12,12,12,24,12,12,12,12,12,12,12,12,36,12,12,36,
12,12,24,12,12,12,12,24,36,12,36,36,12,12,12,12,12,12,12,24,12,12,36,12,36,48,
24,24,24,24,72,24,24,48,24,48,24,24,24,24,24,48,48,48,96,48,48,4,4,16,16,16,
16,16,48,48,16,16,16,16,16,16,16,16,1,1,6,3,9,3,6,3,9,3,3,3,6,9,6,6,6,18,6,6,
6,18,18,18,6,18,6,12,18,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,18,18,12,12,12,12,12,
12,12,12,24,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,12,12,12,8,8,16,16,
16,16,16,3,3,3,3,6,3,9,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,12,4,
1,3,3,3,3,3,3,4,4,4,3,1,1],[1,21,42,12,36,64,64,128,7,14,21,4,63,12,18,18,126,
24,168,36,36,36,36,252,36,72,72,72,72,72,72,192,192,384,3,3,42,42,48,63,63,9,
18,18,18,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,36,36,36,36,36,
36,36,48,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,144,144,144,144,256,
112,32,224,32,32,32,48,64,64,64,96,96,128,192,7,14,21,6,6,8,9,9,9,63,9,12,18,
18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,24,168,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,72,72,72,144,144,144,144,144,
48,48,96,96,96,96,96,96,96,96,96,192,192,21,3,42,6,6,6,6,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,
36,36,36,72,64,64,128,4,28,8,56,8,24,24,32,32,32,32,32,32,48,48,96,96,1,1,6,9,
9,9,18,18,18,18,18,18,18,18,12,12,24,24,24,24,24,24,24,3,3,9,16,32,32,1,1,4,4,
8,8,24,1,3,3,4,4,1,1,2,1],[1,21,42,12,36,64,64,128,7,14,21,63,16,18,18,126,
168,36,36,252,36,48,72,72,72,72,192,192,384,3,3,42,42,48,63,63,9,12,12,18,18,
18,18,18,18,18,18,18,18,126,24,24,24,168,24,168,168,24,36,36,36,36,36,36,72,
72,72,72,504,72,72,72,72,72,72,72,144,144,256,16,112,32,224,32,32,48,48,64,64,
96,128,128,7,1,14,3,21,6,6,6,9,9,9,9,9,63,9,18,18,18,18,18,18,18,126,18,18,18,
18,18,18,18,18,18,18,18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,252,36,72,72,72,72,72,72,144,144,144,144,48,48,48,48,96,96,96,
96,96,96,96,96,96,96,192,21,3,6,42,6,6,6,9,9,9,9,9,9,9,9,9,12,12,12,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,64,64,
128,4,28,8,56,8,16,16,24,32,32,32,48,48,96,96,96,1,2,3,3,3,6,6,6,9,9,9,9,9,9,
9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,12,
12,12,24,24,24,24,24,48,3,6,9,9,18,18,16,16,32,1,2,4,8,8,8,8,12,12,12,24,24,
24,1,3,6,4,8,1,1,2,1],[1,9,12,6,36,36,108,16,64,32,3,2,3,4,9,18,18,12,48,18,
54,18,24,36,36,36,54,36,54,48,72,36,72,36,72,72,72,72,72,72,72,72,72,72,216,
72,72,216,16,64,144,144,192,96,192,192,9,6,3,9,9,18,36,18,9,18,9,9,18,18,18,
24,24,24,24,18,36,18,36,54,18,54,18,18,54,36,18,54,18,18,18,18,18,54,36,18,18,
18,36,54,36,54,18,36,48,24,24,48,72,72,36,72,36,36,72,36,36,36,36,72,72,36,36,
108,36,72,36,72,36,36,72,36,36,36,72,72,72,36,144,72,72,72,72,72,72,72,144,72,
72,72,72,72,72,144,144,72,72,72,72,72,72,72,144,144,144,144,144,144,64,12,32,
8,8,8,48,64,48,16,24,32,144,48,48,144,48,192,192,96,96,1,3,6,6,8,9,9,9,18,12,
18,12,18,9,18,9,18,9,9,9,9,18,9,9,9,18,9,9,9,9,18,9,24,18,18,18,18,18,18,18,
18,18,18,36,36,36,36,18,18,36,18,18,54,18,36,18,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,18,18,36,18,18,54,18,18,18,18,18,18,18,54,54,36,36,36,36,36,72,36,
36,36,36,36,36,36,36,36,36,36,72,36,72,36,72,36,36,36,36,36,36,36,72,36,36,72,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,64,64,
64,12,48,36,36,64,48,16,24,24,24,24,48,24,24,48,48,48,96,48,48,96,96,48,96,48,
48,48,48,96,48,96,3,3,6,3,3,9,9,18,6,12,9,18,9,9,18,18,9,9,9,9,9,9,9,9,18,9,9,
9,9,9,9,24,18,18,18,18,18,36,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,
72,16,32,64,4,1,2,12,24,24,8,32,8,8,12,12,36,12,12,36,24,24,24,24,24,24,24,24,
24,24,24,48,48,96,1,3,3,9,9,9,9,9,18,9,9,9,18,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,16,16,16,
32,1,4,3,3,12,12,6,12,6,12,6,12,12,24,12,12,12,12,12,12,12,12,24,24,24,48,24,
24,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,1,1,2,3,3,3,3,3,3,6,12,12,6,6,6,12,12,
9,4,4,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,21,24,42,12,36,72,64,16,
32,7,14,21,63,84,84,18,18,126,168,36,36,36,36,252,36,72,72,72,72,72,72,144,
144,144,144,64,16,48,192,192,48,96,96,96,192,3,3,42,42,42,48,63,63,9,84,18,18,
18,18,18,18,18,126,18,18,18,18,18,126,24,168,168,168,24,36,36,36,36,36,36,36,
36,252,36,36,36,36,36,36,36,36,36,72,72,72,72,504,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,288,64,112,8,224,8,8,
12,16,24,32,48,48,48,192,48,48,48,96,96,96,96,3,7,14,21,21,9,9,9,9,9,63,9,18,
18,126,18,18,18,18,18,18,18,126,18,18,126,18,18,18,126,18,18,18,18,18,18,18,
18,18,18,126,18,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,144,
144,144,64,64,64,112,12,12,48,48,12,16,24,96,24,96,96,24,24,24,24,24,24,192,
48,48,48,48,48,48,48,48,48,48,48,96,21,3,21,42,6,6,42,9,9,9,9,9,9,9,63,18,126,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,
144,16,32,64,1,28,56,2,8,8,8,12,12,12,12,12,48,12,12,24,24,96,24,24,24,24,24,
24,24,24,24,24,24,48,1,21,21,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,16,16,16,32,28,1,12,12,3,3,24,24,
6,6,24,6,12,12,12,12,12,12,12,48,12,24,24,24,24,3,3,9,9,9,9,9,18,18,18,18,4,8,
16,1,1,2,3,3,12,3,3,3,3,6,24,6,6,6,12,9,4,4,4,8,1,3,3,1,3,3,3,3,3,3,6,1,4,3,3,
1,1,1,1],[1,21,24,42,64,7,14,21,63,84,84,126,168,252,64,64,3,42,42,42,48,63,
63,84,126,126,168,168,168,252,504,112,224,192,3,7,14,21,21,63,126,126,126,126,
126,168,252,64,112,21,21,42,42,63,126,64,28,56,24,48,1,21,21,28,24,3,1,1,1,3,
1,1],[1,21,8,42,112,7,14,21,63,28,28,126,168,252,336,224,64,3,42,42,14,48,63,
63,28,42,126,168,168,168,84,504,56,84,112,112,112,64,1,7,14,7,21,63,42,42,126,
42,42,168,252,64,84,168,168,56,112,21,7,42,14,21,42,64,7,56,28,84,28,24,48,1,
7,7,21,14,28,8,1,24,7,7,7,8,7,1,1,1,1],[1,7,8,42,42,84,112,7,14,28,14,28,21,
21,42,42,42,42,42,84,28,84,84,84,84,84,168,168,168,168,84,84,112,112,112,224,
224,64,1,14,7,7,21,21,21,21,14,42,42,42,21,21,42,42,21,42,42,42,21,42,21,21,
42,56,56,84,42,84,42,42,42,42,42,42,42,42,42,42,84,84,56,56,84,168,168,84,84,
84,84,84,84,168,168,168,168,168,168,168,168,28,28,28,56,112,112,112,56,224,
224,64,1,7,7,7,21,21,21,21,21,21,21,21,21,14,21,21,21,21,21,21,21,21,21,21,42,
21,21,21,21,42,42,42,84,42,42,42,42,42,42,42,84,42,42,42,42,84,42,42,42,42,42,
42,42,42,42,42,42,84,42,42,42,42,42,42,42,42,168,168,168,168,64,28,28,28,28,
28,28,28,28,28,56,56,56,56,56,56,56,56,56,112,56,56,56,56,7,7,7,7,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,42,42,42,42,42,42,42,42,42,42,64,7,28,28,28,28,28,28,28,28,28,56,56,56,56,
56,56,56,56,56,8,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,
28,28,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,7,8,84,112,7,28,28,
42,42,56,84,84,84,168,112,224,224,64,1,14,21,21,14,14,42,84,42,84,84,42,84,84,
168,168,168,56,28,112,112,112,112,64,1,7,21,21,21,21,21,42,42,42,42,42,42,42,
84,84,84,84,64,56,28,56,56,56,56,56,112,112,7,14,7,21,21,42,21,21,21,42,42,42,
42,64,7,28,28,28,56,56,8,7,7,21,21,21,21,21,7,7,14,28,14,8,21,8,16,7,7,7,7,7,
7,8,7,7,1,1],[1,21,24,42,20,60,120,64,7,14,21,4,63,84,84,12,16,30,30,126,24,
168,36,36,60,60,60,60,252,60,16,48,120,120,120,120,72,72,120,120,48,48,48,240,
144,240,144,240,240,144,144,64,320,320,3,5,42,42,42,48,63,63,15,84,12,12,30,
30,30,30,30,30,30,126,30,30,30,30,30,126,24,24,24,24,40,168,24,168,168,40,36,
36,60,36,60,36,60,60,60,36,36,60,60,36,60,252,60,36,36,60,36,60,60,60,36,36,
60,60,60,36,36,60,48,48,48,16,120,120,72,72,120,24,72,120,72,504,24,120,72,24,
72,72,24,72,72,72,120,120,72,72,72,72,72,120,120,120,72,120,120,120,120,120,
72,120,120,72,72,120,96,96,48,144,240,240,144,48,240,48,240,144,144,144,48,
240,240,48,144,48,240,48,240,48,144,48,144,48,240,240,48,144,144,144,96,96,96,
96,288,96,96,96,96,96,480,112,224,64,64,192,64,64,320,192,3,7,1,14,21,3,21,6,
6,6,6,6,8,15,15,15,9,15,9,15,63,15,12,4,12,12,12,12,18,30,30,18,126,18,30,30,
18,30,30,30,18,30,30,126,30,18,18,30,126,18,18,30,18,18,18,18,30,18,18,18,18,
30,18,126,18,30,30,30,30,30,30,18,18,30,18,30,30,30,126,18,18,30,24,24,168,24,
60,60,36,36,36,36,60,60,36,36,12,60,60,36,36,36,12,60,12,36,36,36,36,36,60,36,
12,60,36,60,36,36,60,36,12,60,36,36,60,36,36,60,36,60,36,12,60,12,36,60,60,60,
60,36,36,60,60,36,60,36,36,60,60,60,36,60,60,36,36,60,12,36,36,60,36,60,60,60,
12,60,36,36,36,36,36,60,36,60,60,12,36,36,60,36,252,36,36,60,12,60,36,36,24,
72,24,72,72,72,72,120,24,24,120,72,72,72,24,24,120,24,24,120,72,24,24,72,24,
24,24,120,72,24,120,72,72,72,24,72,72,24,72,72,72,24,72,72,72,24,24,72,24,24,
24,24,120,24,24,72,24,24,24,24,24,24,72,24,120,72,120,72,24,24,72,72,24,24,72,
72,72,120,24,120,72,120,120,120,72,72,24,24,72,72,72,72,120,72,120,72,120,24,
24,72,24,24,72,120,72,24,24,72,72,72,48,144,144,240,48,240,144,48,144,48,48,
48,144,240,48,144,144,48,48,48,240,48,48,48,48,240,48,240,240,240,144,144,48,
144,240,144,48,144,48,240,144,96,96,96,96,112,80,80,64,64,160,160,160,320,64,
64,64,64,64,21,5,21,6,42,6,6,10,6,10,6,6,42,9,15,9,15,15,15,9,9,15,15,15,63,
12,12,12,12,12,4,12,18,18,18,18,18,30,18,18,18,6,18,18,18,18,126,30,18,18,30,
30,30,18,18,30,18,18,18,18,30,18,18,18,18,18,30,30,18,18,30,18,30,30,18,18,18,
18,18,18,18,30,30,30,30,30,18,30,18,6,30,30,18,18,30,18,18,30,18,18,30,30,18,
18,18,30,18,18,18,30,18,30,18,18,18,18,18,6,6,30,18,30,24,24,24,12,12,36,12,
36,60,12,36,36,36,36,36,12,36,36,12,36,60,36,60,36,60,36,36,36,36,12,36,12,36,
12,36,12,36,36,36,12,36,12,36,12,12,12,36,36,12,36,36,12,12,12,12,12,36,12,12,
12,60,12,36,36,36,60,60,36,36,36,12,36,36,36,60,36,36,36,36,60,36,36,60,36,12,
36,12,36,12,12,12,36,36,36,36,36,36,12,36,12,36,36,36,36,36,60,60,36,12,36,60,
12,36,12,36,36,12,12,36,12,36,12,12,12,12,36,12,12,60,36,12,36,36,12,60,36,36,
36,60,36,60,36,36,36,60,60,12,60,12,36,60,12,60,36,36,36,36,36,36,12,36,12,12,
12,36,36,36,36,36,60,60,60,60,12,60,36,12,12,60,60,12,36,60,36,36,36,60,36,12,
12,36,60,12,36,36,12,36,36,60,36,36,12,60,36,12,36,36,36,12,36,36,36,36,36,60,
36,36,12,36,36,60,36,36,36,60,36,36,12,36,60,12,60,36,12,60,60,60,36,24,24,24,
24,24,24,24,24,24,120,24,24,24,24,72,72,72,24,72,72,24,72,72,24,72,120,24,24,
24,24,72,24,24,24,72,24,24,24,120,24,24,24,72,72,24,24,24,72,24,120,24,120,24,
24,72,24,72,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,72,72,24,24,24,
120,24,24,72,24,24,72,24,24,72,72,120,24,72,24,72,24,24,24,72,48,48,48,240,48,
48,48,28,56,16,32,16,16,48,48,48,80,32,160,96,96,64,1,1,2,3,3,21,3,1,21,6,6,6,
6,6,6,9,3,15,15,9,15,3,9,15,9,9,9,9,15,15,3,9,9,15,9,9,9,15,12,12,12,12,6,6,
18,6,18,6,18,18,6,6,18,6,6,18,18,18,6,6,18,18,6,18,30,18,18,18,18,6,30,30,18,
18,18,6,18,18,6,18,18,18,30,30,30,18,18,18,18,6,18,18,18,18,6,6,6,18,30,18,30,
6,18,6,6,18,6,18,30,6,6,6,6,6,6,6,18,6,18,6,18,18,18,18,30,18,6,18,6,18,30,6,
18,6,6,18,30,6,18,6,18,6,18,6,18,6,6,18,18,18,6,6,6,30,18,6,6,30,18,18,6,6,18,
18,18,30,18,18,30,36,12,12,12,12,36,36,12,12,12,12,12,36,36,36,12,36,60,36,12,
12,36,12,12,12,12,12,36,36,12,12,12,12,12,12,12,36,12,36,60,36,12,36,36,36,36,
36,12,12,12,12,12,12,36,60,36,36,12,60,12,12,12,36,12,36,12,12,36,12,12,36,36,
36,12,36,36,12,12,36,12,12,12,36,12,12,36,36,12,12,12,36,12,36,36,12,12,12,36,
36,60,36,12,12,12,36,36,12,12,12,60,12,36,12,12,36,36,36,12,36,60,36,36,12,12,
36,12,12,12,36,12,12,12,60,36,12,12,12,12,36,36,12,12,12,12,12,12,12,60,12,36,
12,36,12,12,36,12,36,12,12,12,36,12,36,12,12,36,36,12,12,12,12,36,60,36,24,24,
24,24,24,24,24,24,24,24,24,24,72,24,24,72,24,24,28,20,20,16,40,40,40,16,48,16,
80,16,16,16,32,3,3,5,3,3,1,6,6,6,3,9,9,9,9,3,3,3,3,9,9,15,3,3,3,15,9,15,9,9,
15,9,3,9,9,9,3,3,15,18,6,6,6,30,6,18,18,6,30,6,18,6,6,18,18,18,6,18,6,6,18,6,
6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,
18,6,30,6,6,6,18,6,6,6,6,6,30,18,6,18,6,6,18,6,6,6,18,18,18,6,18,18,6,18,6,18,
6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,18,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,36,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,1,4,8,4,20,4,12,12,
12,40,24,24,8,16,1,1,3,3,1,3,3,9,15,9,9,3,3,9,3,3,3,3,3,3,3,9,3,3,3,3,9,3,3,3,
3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,1,5,5,4,4,12,4,4,4,4,
8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,5,3,4,3,1,1,1,1,1,1,1,1],[1,21,8,42,
36,108,72,64,7,14,21,4,63,28,28,12,48,54,54,126,24,168,36,36,108,36,108,36,
252,108,48,144,216,72,216,72,72,72,216,216,48,48,144,144,48,144,48,144,144,
144,144,64,192,192,128,128,3,9,42,42,14,48,63,63,27,28,36,36,54,18,54,54,18,
54,54,42,54,54,54,54,54,126,72,24,24,72,72,168,72,168,168,72,12,36,36,36,36,
12,36,36,36,36,108,36,36,12,36,84,36,12,36,108,36,36,108,36,36,36,36,108,36,
108,36,108,48,16,16,48,216,216,72,216,216,24,72,72,24,504,72,216,24,72,72,72,
24,72,72,72,72,72,72,72,216,216,72,72,216,72,24,216,72,72,216,72,24,72,216,72,
72,72,96,96,48,48,144,432,48,144,432,48,144,144,48,144,48,144,144,48,144,48,
144,48,144,144,144,144,48,48,144,144,144,48,48,48,96,96,96,96,288,288,96,96,
96,96,288,32,48,64,64,64,64,192,64,192,64,192,128,128,1,7,3,14,7,9,21,18,6,18,
6,18,8,9,27,27,27,27,27,9,63,27,12,12,12,12,12,12,54,18,54,18,42,18,18,18,18,
54,18,18,54,54,54,42,54,18,18,18,126,18,18,54,6,6,6,6,18,54,6,54,18,18,54,42,
18,18,54,18,18,54,54,6,6,54,18,54,54,18,42,54,6,18,24,24,168,24,36,36,12,36,
36,12,36,108,12,12,12,36,36,36,12,108,12,36,36,36,36,36,12,108,108,36,36,36,
12,36,36,36,108,36,12,36,12,36,36,108,12,36,108,108,36,12,36,36,36,36,108,36,
108,36,36,36,36,12,108,12,12,36,36,108,36,36,108,108,108,36,36,12,36,36,36,
108,108,108,36,108,36,108,36,36,36,108,36,36,36,12,36,12,36,36,252,12,36,108,
12,36,12,36,24,216,24,216,72,72,72,72,72,72,72,72,24,24,72,72,72,24,24,72,24,
24,24,216,24,72,72,72,72,24,72,72,72,72,72,216,72,24,216,24,72,24,72,72,72,24,
24,72,24,24,24,24,72,24,24,72,24,72,24,24,24,72,72,24,72,216,72,24,24,24,24,
72,24,24,72,72,72,72,24,72,72,72,72,72,72,24,24,24,24,72,72,72,72,24,72,24,72,
24,24,72,24,24,72,72,72,24,72,72,72,72,48,48,144,144,144,144,48,48,48,48,48,
48,144,432,48,48,48,48,48,48,432,144,48,144,48,144,48,432,432,144,48,48,48,48,
144,48,144,48,48,144,144,96,96,96,96,48,48,48,64,64,96,32,96,96,32,192,64,64,
64,64,64,64,64,64,64,64,64,21,9,7,18,42,2,6,18,6,18,2,18,14,27,9,27,27,27,9,
27,27,27,27,27,21,12,36,12,36,4,12,36,18,6,54,6,18,18,18,6,54,6,18,54,54,6,42,
18,6,6,54,18,18,6,6,18,18,6,54,54,54,18,54,6,54,6,18,18,18,6,54,54,54,18,6,18,
18,54,54,18,18,18,18,54,54,18,6,18,6,18,18,54,6,6,54,6,6,18,6,54,18,18,18,54,
54,18,6,54,6,18,18,18,6,18,54,6,6,6,18,18,6,18,24,24,24,36,12,12,12,12,36,12,
12,36,36,12,12,12,12,12,36,108,36,12,108,108,36,108,12,36,36,36,36,36,36,12,
108,12,12,36,12,12,36,12,108,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,
12,36,12,36,108,12,36,36,108,108,108,12,36,36,36,108,12,108,36,12,36,108,36,
108,36,36,108,12,36,12,12,12,108,108,12,36,12,12,12,12,12,36,12,12,12,36,36,
36,36,12,12,36,12,36,12,12,36,12,36,36,36,12,12,12,12,12,108,12,12,108,36,12,
12,12,36,36,36,36,36,36,12,36,36,36,12,36,36,12,36,12,12,36,36,36,36,36,36,36,
12,36,36,12,36,12,12,108,36,36,36,108,36,36,36,36,36,36,12,12,12,36,36,12,12,
108,12,36,12,108,12,12,12,12,36,36,12,12,12,36,36,36,12,12,12,36,12,36,12,12,
108,12,12,36,12,36,36,36,12,108,12,12,12,36,36,12,12,36,12,12,12,12,36,12,108,
12,12,36,36,108,12,24,72,72,24,72,24,24,24,72,72,24,24,24,24,72,72,72,24,72,
24,24,24,72,24,24,216,24,24,24,24,72,24,24,24,24,24,24,72,72,24,24,24,24,72,
72,24,24,72,24,72,24,72,24,24,72,24,72,24,24,24,72,24,24,72,24,24,24,24,72,24,
24,72,24,24,72,72,24,24,24,72,24,24,24,24,24,24,24,24,72,72,72,24,24,24,72,24,
24,24,72,48,144,48,144,48,48,48,4,24,24,32,32,16,16,48,16,48,16,48,32,32,32,
96,96,32,64,64,64,1,1,6,9,9,7,9,3,7,2,6,18,18,2,18,3,3,9,27,9,9,9,27,9,9,3,27,
27,9,27,3,9,9,9,27,27,9,9,12,12,12,12,6,6,6,6,54,6,6,18,6,6,54,6,18,18,6,6,6,
6,6,6,6,18,18,18,18,18,6,18,54,54,6,6,18,18,6,6,6,18,6,18,18,18,54,6,54,54,6,
6,6,18,54,18,18,6,6,18,18,6,18,18,6,18,6,6,6,54,18,18,6,6,6,6,18,6,54,6,6,6,6,
54,6,18,18,6,18,54,6,18,18,6,6,18,6,18,18,18,18,6,6,6,54,6,6,6,6,18,18,18,6,6,
6,18,6,6,18,18,6,18,6,6,6,54,18,54,6,18,18,108,12,36,12,36,108,12,12,12,12,12,
12,12,12,36,12,12,36,36,12,12,36,36,12,12,12,12,108,12,12,36,12,12,12,12,12,
36,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,36,36,36,12,12,12,36,12,12,12,
36,12,36,12,12,12,36,12,108,12,12,12,12,36,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,36,
12,12,12,12,12,108,36,108,108,12,12,12,12,12,12,36,12,12,12,36,36,12,12,12,12,
108,36,12,36,12,36,12,12,12,36,12,12,12,36,12,12,12,12,36,12,12,12,36,12,12,
12,36,36,36,36,12,12,12,36,36,12,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,
72,24,24,4,12,12,24,8,24,8,8,8,8,24,24,8,16,48,16,16,16,48,16,16,16,32,32,1,3,
9,3,3,3,6,2,18,3,9,27,9,9,3,3,9,3,3,9,9,9,9,9,9,9,9,9,9,9,3,9,9,9,27,3,3,9,18,
6,6,18,18,6,54,18,6,18,6,6,18,18,18,18,18,6,6,18,6,6,6,6,6,6,18,18,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,18,6,6,6,18,6,6,6,
6,6,18,18,6,6,6,6,18,6,18,6,6,18,6,6,18,18,6,54,6,6,6,18,6,6,6,6,6,6,6,6,6,6,
6,18,6,6,18,12,12,12,12,12,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,12,1,4,4,12,4,4,4,12,8,24,8,8,8,24,8,8,8,8,8,8,16,
1,3,1,1,3,3,3,9,9,3,9,3,3,3,3,3,3,9,9,9,9,3,3,3,3,3,9,3,3,3,3,9,9,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,1,3,3,4,2,2,4,4,4,4,4,4,8,8,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,1,1,3,1,1,3,2,2,4,3,1,1,1,1,1,1,1,1],[1,21,8,42,36,108,72,
64,7,14,21,12,63,28,28,36,16,54,54,126,72,168,108,108,108,36,108,36,252,108,
48,48,216,72,216,72,216,216,216,216,48,48,144,144,144,144,144,144,144,48,48,
64,192,192,128,128,3,9,42,42,14,48,63,63,27,28,12,12,54,18,54,54,18,54,54,42,
54,54,54,54,54,126,24,72,72,24,72,168,24,168,168,72,36,108,36,108,36,36,36,36,
36,12,36,36,36,36,36,84,36,36,12,108,108,36,108,36,12,108,36,108,36,36,12,108,
144,48,48,48,216,216,216,72,216,24,216,72,72,504,72,216,72,72,24,24,24,24,216,
216,72,72,24,24,72,72,24,72,216,72,72,216,72,72,216,72,72,72,216,216,216,72,
32,32,48,144,144,432,144,144,432,48,144,48,144,432,48,144,144,48,48,48,144,48,
144,144,432,144,144,48,144,144,144,144,144,144,96,96,96,96,96,288,96,96,96,96,
288,16,32,48,48,64,64,64,192,64,192,64,128,128,1,7,1,14,7,3,21,6,18,6,18,6,24,
9,27,27,9,27,9,9,63,27,4,12,4,4,36,4,18,18,54,6,42,54,18,18,54,54,18,18,18,54,
54,42,54,54,6,18,126,54,54,54,18,18,18,18,18,18,18,18,54,18,18,42,6,18,54,18,
18,54,54,18,18,54,6,54,54,18,42,18,18,18,72,8,168,8,36,36,36,12,12,36,36,108,
36,36,12,36,36,12,36,36,12,36,36,108,12,12,36,36,108,108,36,36,36,36,12,12,
108,12,12,36,36,12,36,36,36,36,36,108,108,12,36,36,12,36,108,36,108,108,12,36,
36,36,108,36,36,36,36,108,108,36,108,36,36,36,36,36,12,36,12,108,108,108,36,
108,12,36,12,12,12,108,12,36,36,12,12,36,36,12,252,36,12,108,12,36,36,12,24,
72,24,72,24,24,24,72,72,72,72,24,72,72,72,72,72,24,24,72,72,24,24,72,24,72,72,
72,24,24,72,24,24,24,72,72,24,24,72,72,216,24,216,24,216,24,24,24,24,24,24,24,
72,24,24,24,24,72,24,24,24,72,24,24,72,72,72,72,24,24,72,24,24,24,24,24,24,72,
24,72,24,72,72,72,24,72,24,24,72,24,24,24,72,72,72,72,72,24,24,24,24,24,24,72,
24,24,72,24,24,24,48,144,48,144,144,144,144,48,144,48,48,48,48,432,48,144,144,
48,48,48,432,144,48,144,48,144,48,432,432,144,144,144,48,144,144,144,144,144,
48,144,432,96,96,96,96,16,48,48,48,48,48,48,48,48,64,96,96,32,96,32,96,32,96,
96,32,32,96,32,64,64,64,64,64,64,64,21,9,7,6,42,6,18,18,18,18,6,6,14,9,9,9,27,
27,9,9,9,27,27,27,21,4,12,4,12,12,12,12,6,18,18,18,54,18,54,18,18,6,54,18,18,
18,42,18,18,18,54,18,18,18,18,18,6,18,18,18,54,54,18,18,18,18,18,18,6,18,54,
18,54,18,18,54,54,18,18,54,54,18,18,54,54,18,18,18,18,18,18,54,18,18,54,18,18,
18,18,18,18,18,54,18,18,18,18,18,18,18,6,18,18,54,18,18,18,6,18,18,18,18,72,
72,8,36,12,36,12,36,36,12,36,12,12,36,36,12,36,36,36,36,36,36,108,36,36,36,36,
12,108,36,12,36,12,12,36,12,36,12,36,12,108,12,36,12,12,12,36,36,12,36,36,12,
36,12,12,12,36,36,12,12,36,12,12,36,36,36,36,36,36,36,12,12,12,12,108,36,36,
12,36,36,36,12,108,12,36,36,12,12,12,12,12,36,36,36,12,36,36,12,36,12,12,36,
36,36,12,36,36,12,12,36,36,12,12,12,36,12,12,36,12,36,36,12,12,12,12,36,12,12,
108,12,12,36,36,36,36,12,12,108,36,36,36,12,12,36,36,36,12,36,12,36,36,36,36,
12,12,12,12,36,12,36,36,36,12,12,36,12,12,12,36,36,36,36,36,36,36,36,12,12,36,
36,12,36,108,36,12,36,108,36,12,12,36,36,36,36,36,12,108,12,36,36,36,12,36,36,
36,36,36,36,12,36,12,36,12,12,36,36,36,12,36,36,36,12,36,36,36,36,36,12,36,36,
12,108,36,12,36,36,108,36,24,72,72,24,72,24,24,24,72,72,24,24,24,24,24,24,24,
24,24,72,24,72,24,24,72,216,24,24,24,24,24,24,24,24,72,24,24,72,72,24,24,24,
72,24,72,24,24,24,24,72,24,72,24,24,24,24,24,24,24,24,72,24,24,72,24,24,24,24,
24,24,24,72,24,24,24,24,24,24,24,72,24,24,72,24,24,72,24,24,24,24,72,24,72,24,
24,24,24,24,24,48,144,48,144,48,48,48,4,16,32,16,48,16,16,16,48,48,48,48,16,
16,16,48,16,16,48,16,16,16,48,32,96,32,96,32,32,32,32,96,96,96,32,32,32,96,32,
32,32,64,1,3,2,3,3,7,3,3,7,6,18,6,6,6,6,9,3,9,27,3,9,9,9,9,3,9,9,9,9,27,3,3,3,
9,9,9,27,9,4,4,4,4,6,6,18,6,18,6,18,6,6,6,18,6,18,54,18,18,6,6,18,18,6,6,18,6,
6,54,18,18,54,54,18,18,6,18,18,18,6,54,18,6,18,18,54,18,18,18,18,6,18,6,18,6,
18,6,6,6,18,18,18,18,18,18,6,18,6,18,18,18,6,6,6,6,18,6,18,6,18,6,18,18,18,6,
18,18,18,18,6,6,18,6,18,18,6,6,18,18,6,6,18,6,18,6,18,6,6,6,6,6,6,6,6,18,18,6,
18,18,18,6,6,6,18,18,6,54,18,54,18,36,12,36,12,36,36,36,12,12,12,12,12,36,36,
12,12,36,36,12,12,12,12,36,12,12,12,12,36,36,12,36,12,12,12,12,12,12,12,36,36,
36,12,12,36,36,36,36,12,12,12,12,12,36,12,36,36,36,12,36,12,12,12,12,12,12,12,
12,36,36,12,36,36,36,12,36,12,12,12,36,12,12,12,12,12,12,36,36,12,12,12,36,12,
12,36,36,12,12,36,36,36,36,12,12,12,36,36,12,12,12,36,12,36,36,12,36,36,36,12,
36,36,36,36,12,12,36,12,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,36,12,36,
12,12,12,36,12,36,12,12,12,12,36,12,12,12,12,12,12,12,36,12,36,12,12,36,12,12,
12,12,36,36,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,12,12,12,
12,16,8,8,16,16,16,16,16,48,16,16,16,16,16,16,16,16,16,16,48,16,16,16,32,32,
32,1,1,9,1,9,3,2,6,6,3,3,9,3,3,3,3,9,3,9,3,9,9,9,9,9,3,9,3,3,9,9,9,3,27,9,3,3,
9,6,6,6,18,18,6,18,6,6,18,6,18,18,18,6,6,6,6,18,18,6,18,6,6,6,6,18,6,6,6,6,6,
6,6,6,6,18,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,
6,6,6,6,18,6,6,18,6,6,6,6,18,6,18,6,18,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,12,12,4,8,12,4,4,12,4,4,4,12,12,4,12,4,4,4,12,4,4,12,
12,4,8,24,8,24,16,16,16,3,1,3,3,3,3,3,3,9,9,3,3,3,9,3,3,3,9,9,9,9,9,3,3,3,3,3,
3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,4,8,8,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,
1,1],[1,21,42,64,112,224,7,14,21,63,126,168,252,336,672,64,3,42,42,48,63,63,
126,168,168,168,504,448,112,56,224,56,56,84,112,168,224,7,14,21,63,126,168,
252,64,64,128,84,168,168,168,168,168,336,21,42,112,224,7,28,56,14,56,56,56,84,
168,24,48,64,1,21,42,28,56,24,48,1,7,14,1,7,1,1,2,1],[1,21,24,42,12,36,72,64,
64,128,7,14,21,4,63,84,84,12,18,18,126,24,168,36,36,36,36,36,36,252,36,72,72,
72,72,72,72,72,72,144,144,144,144,144,144,64,192,192,192,384,384,3,3,42,42,42,
48,63,63,9,84,18,18,18,18,18,18,18,126,18,18,18,18,18,126,24,24,24,168,168,
168,24,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,36,36,36,36,36,
36,36,36,48,48,48,72,72,72,72,72,72,72,504,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,288,256,112,32,224,32,32,32,48,64,64,64,96,96,128,
192,192,192,192,192,3,7,14,21,21,6,6,8,9,9,9,9,9,63,9,12,18,18,126,18,18,18,
18,18,18,18,18,18,126,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,126,18,18,
18,18,18,18,18,18,18,18,18,18,126,18,18,24,168,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,
36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,256,112,48,48,48,64,96,96,96,96,96,96,96,96,96,96,96,
192,192,192,192,192,192,21,3,21,42,6,6,6,6,6,6,42,9,9,9,9,9,9,9,63,12,18,18,
18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,144,64,64,128,4,28,8,56,8,24,24,32,32,32,32,32,32,48,48,
48,48,48,48,96,96,96,96,1,1,21,21,6,6,6,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,64,64,28,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,3,3,3,6,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,36,36,16,32,32,1,1,4,4,8,8,12,12,12,12,24,24,24,24,24,1,3,3,9,9,9,9,
16,1,3,3,3,4,6,12,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,21,42,36,108,64,64,128,
7,14,21,4,63,12,48,54,54,126,24,168,36,36,108,108,252,108,48,144,216,216,72,
72,216,216,144,64,192,576,192,384,3,9,42,42,48,63,63,27,36,36,54,54,54,54,54,
54,54,54,54,54,126,72,24,24,72,72,168,72,168,168,72,36,36,108,108,36,108,36,
108,108,108,48,48,216,216,72,216,216,72,504,72,216,72,72,72,216,216,216,216,
216,216,72,72,432,144,432,144,144,144,144,144,288,256,112,32,224,32,32,32,48,
64,192,64,64,96,96,128,192,192,192,192,7,3,14,9,21,18,6,18,6,18,8,27,27,27,27,
27,63,27,12,12,54,54,18,18,54,54,54,54,54,18,126,18,18,54,54,54,18,54,54,54,
54,54,54,54,54,24,168,108,108,36,36,108,108,36,36,108,108,108,108,36,36,108,
108,36,108,108,36,108,108,108,36,108,108,108,36,108,108,108,252,108,216,216,
72,72,72,72,216,72,72,72,216,216,72,72,72,72,72,216,72,144,432,432,144,144,
432,432,144,144,256,48,48,144,48,64,64,96,288,96,288,96,96,96,96,96,96,192,
192,192,192,21,9,18,42,6,18,6,18,18,27,27,27,27,27,27,27,27,27,36,36,12,36,54,
18,18,54,18,54,54,54,54,54,54,18,54,54,54,54,54,18,18,54,54,18,18,54,54,18,54,
54,54,18,54,54,54,18,54,18,24,24,36,36,108,108,108,108,36,36,36,108,36,108,36,
36,108,108,108,108,108,108,108,108,36,108,108,108,36,36,108,108,36,36,36,36,
36,108,108,36,108,108,36,36,36,108,108,108,108,72,72,72,72,216,72,72,72,72,72,
144,64,64,128,4,28,8,56,8,48,24,24,32,32,32,32,32,32,48,48,48,48,48,96,96,96,
96,1,1,6,9,9,9,3,6,18,18,18,27,9,27,27,27,27,27,27,9,54,54,18,18,18,18,54,54,
18,18,54,54,54,54,18,18,18,54,18,18,54,54,18,54,18,18,54,18,54,54,18,108,36,
36,108,36,108,36,36,36,108,36,36,108,108,108,108,36,36,36,36,64,64,4,36,12,12,
24,24,72,24,72,24,24,24,24,48,48,48,9,3,3,18,27,9,9,9,9,9,9,27,18,54,18,18,18,
18,18,18,54,36,16,32,32,1,1,4,4,8,24,8,12,12,36,12,24,24,24,1,3,3,9,9,9,9,16,
1,9,3,3,4,12,3,4,4,1,3,1,2,3,3,3,4,4,1,3,1,1],[1,21,24,42,12,36,72,64,64,128,
7,14,21,63,84,84,16,18,18,126,168,36,36,36,36,252,36,48,72,72,72,72,72,72,144,
144,144,144,144,144,64,192,192,192,384,384,3,3,42,42,42,48,63,63,9,84,12,12,
18,18,18,18,18,18,18,126,18,18,18,18,18,126,24,24,24,168,24,168,168,24,36,36,
36,36,36,36,36,36,36,36,252,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,
72,72,504,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
96,96,144,144,144,144,144,144,144,144,144,144,144,144,288,288,256,16,112,32,
224,32,32,48,48,64,64,96,128,128,192,192,192,192,3,7,1,14,21,3,21,6,6,6,9,9,9,
9,9,9,9,63,9,12,12,12,12,18,18,18,18,126,18,18,18,18,18,18,18,18,126,18,18,18,
126,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,126,18,18,24,
168,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,
144,144,144,144,144,144,144,144,144,256,112,48,48,48,48,48,64,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,192,192,192,21,3,21,6,42,6,6,6,42,9,9,9,9,9,9,9,9,
9,9,9,63,12,12,12,12,12,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,144,64,64,128,4,28,8,56,8,16,16,24,32,32,32,48,48,48,48,48,48,48,48,
48,48,96,96,96,96,96,96,96,1,2,3,3,21,3,21,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,12,12,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,72,72,64,64,28,12,12,12,12,12,16,24,24,24,24,
24,24,24,48,48,48,48,48,96,3,3,3,3,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,16,16,32,1,2,4,
8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,1,9,9,9,9,9,9,18,18,
16,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,21,42,12,36,144,64,
64,128,7,14,21,4,63,12,18,18,126,24,168,36,36,36,72,36,72,252,36,72,144,72,
144,72,72,72,72,144,144,288,288,144,144,192,384,192,384,384,768,3,3,42,42,48,
63,63,9,18,36,18,18,36,18,18,18,18,18,18,18,126,24,24,24,168,168,168,24,36,72,
36,72,72,36,72,72,36,36,36,36,36,36,36,36,36,48,72,72,72,72,72,72,504,72,72,
72,72,72,72,72,72,72,72,144,72,144,72,144,144,72,144,144,72,72,72,144,288,144,
144,144,144,144,144,288,144,144,144,288,144,144,144,288,288,288,288,576,256,
112,32,224,32,32,32,48,64,64,64,96,96,128,192,192,192,192,192,384,384,7,14,21,
6,6,8,18,9,9,9,18,63,9,12,18,18,18,36,36,18,18,36,18,18,18,18,18,126,18,18,18,
18,18,18,36,18,18,18,18,18,18,36,24,168,72,36,36,72,36,36,72,36,36,36,36,36,
36,72,36,36,36,36,72,72,36,36,36,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,72,36,36,252,36,36,72,72,72,144,72,144,72,144,72,72,144,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,72,72,72,72,144,144,288,
144,144,144,144,144,144,144,144,144,144,288,144,144,144,288,288,144,144,256,
96,48,48,96,96,96,96,192,96,96,96,96,96,96,384,192,192,192,192,192,192,192,
192,192,192,192,192,384,21,3,42,6,6,6,6,18,9,9,18,9,9,9,18,18,36,18,18,18,36,
18,36,18,18,18,36,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,24,24,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,72,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,72,36,36,36,36,36,36,
36,36,36,36,36,72,36,36,36,36,36,144,72,72,72,72,72,72,72,144,72,144,72,72,72,
72,72,144,144,144,288,144,144,64,64,128,4,28,8,56,8,24,24,32,32,32,32,32,32,
48,48,48,48,48,48,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,1,1,6,9,9,9,
18,9,9,9,9,9,18,9,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,36,18,18,18,18,36,36,36,36,36,36,36,36,72,36,36,36,36,
36,36,36,36,72,72,72,72,72,72,72,64,64,128,24,12,12,24,24,48,24,24,24,24,24,
24,24,24,48,48,48,48,96,96,96,96,96,96,96,96,96,3,3,9,9,18,9,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,36,16,32,32,1,1,4,4,8,8,12,12,12,12,24,24,24,
24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,16,32,32,6,3,3,6,12,12,24,24,24,9,4,4,1,
1,2,3,3,3,3,4,4,3,3,6,1,1],[1,21,42,36,108,64,64,128,7,14,21,12,63,36,16,54,
54,126,72,168,108,108,108,108,252,108,48,48,216,216,216,216,216,216,144,64,
192,576,192,384,3,9,42,42,48,63,63,27,12,12,54,54,54,54,54,54,54,54,54,54,126,
24,72,72,24,72,168,24,168,168,72,108,108,36,108,108,108,108,108,36,108,144,48,
216,216,216,72,216,216,504,72,216,72,216,216,72,72,216,216,216,216,216,216,
432,144,432,432,144,432,144,144,288,256,16,112,32,224,32,32,48,48,64,192,64,
96,128,128,192,192,192,7,1,14,3,21,6,18,6,18,6,24,27,27,9,27,9,63,27,12,36,18,
54,54,54,54,18,54,54,54,54,126,54,54,54,18,18,54,18,54,54,54,54,54,54,18,72,
168,108,36,36,108,36,108,108,36,108,36,36,108,108,36,108,108,108,108,108,108,
108,36,36,36,108,108,108,36,108,36,108,252,108,72,72,72,72,72,72,72,72,72,72,
72,72,216,216,216,72,72,72,72,144,432,432,144,144,432,432,144,432,256,16,48,
48,48,48,144,48,48,48,48,64,96,288,96,288,96,96,96,96,96,96,96,96,192,192,21,
9,6,42,18,18,18,18,6,9,9,27,27,9,9,27,27,27,12,12,12,12,18,54,54,18,54,18,18,
54,18,18,54,54,18,18,54,18,54,54,54,18,18,54,54,54,54,18,54,54,18,54,18,18,18,
54,18,18,72,72,36,36,36,108,36,36,108,36,36,36,108,36,36,36,36,36,36,36,108,
36,36,108,36,36,36,36,36,36,36,108,36,108,36,36,36,36,36,36,108,108,36,108,36,
36,36,108,108,72,72,72,72,216,72,72,72,72,72,144,64,64,128,4,28,8,56,8,16,16,
24,96,32,32,32,48,48,48,48,48,48,144,48,48,48,96,96,96,96,96,96,96,1,3,2,3,3,
3,3,18,6,6,6,27,9,9,9,9,27,9,9,27,18,18,18,54,54,18,54,54,18,54,54,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,54,54,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,64,64,4,12,36,12,12,12,16,24,24,72,72,24,48,
48,48,48,9,9,3,6,9,9,9,9,9,9,27,9,18,18,18,18,18,18,18,18,18,36,16,16,32,1,2,
4,12,8,8,8,8,12,12,12,12,12,12,12,12,12,12,24,24,24,3,1,3,9,9,9,9,16,16,9,4,6,
12,12,12,3,4,8,3,1,1,2,3,4,1,3,1,1],[1,21,42,12,36,144,64,64,128,7,14,21,63,
16,18,18,126,168,36,72,36,72,252,36,48,72,144,72,144,72,72,144,144,288,144,
144,288,192,384,192,384,384,768,3,3,42,42,48,63,63,9,12,12,18,36,18,18,36,18,
18,18,18,18,18,18,126,24,24,24,168,24,168,168,24,36,72,36,72,72,36,72,36,72,
36,36,36,36,36,36,72,72,72,72,72,72,504,72,72,72,72,72,144,72,144,72,72,144,
144,72,144,72,144,72,144,288,144,144,144,144,144,288,144,144,288,144,288,144,
288,288,576,256,16,112,32,224,32,32,48,48,64,64,96,128,128,192,192,192,192,
384,384,7,1,14,3,21,6,6,6,18,9,9,9,9,9,18,63,9,18,18,36,36,18,36,18,18,18,18,
126,18,18,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,36,168,72,36,
36,72,36,36,36,36,72,36,36,36,36,36,36,72,36,36,36,36,72,36,36,72,36,36,36,72,
36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,252,36,36,36,
36,72,72,144,144,144,72,72,72,144,72,72,72,72,72,72,72,72,72,144,144,144,72,
72,144,72,72,72,144,288,144,144,144,144,144,144,144,144,144,288,144,144,144,
288,144,144,144,288,256,48,96,48,48,48,96,96,96,96,96,192,96,96,96,96,96,96,
96,96,384,192,192,192,192,192,192,192,384,384,21,3,6,42,6,6,6,9,18,9,9,9,18,9,
9,9,9,9,12,12,12,18,18,36,18,18,18,18,18,36,18,18,36,18,18,18,18,18,18,18,18,
36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,72,36,36,36,36,36,36,72,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,72,
72,144,72,72,72,72,72,72,72,72,144,72,72,144,72,72,72,72,72,72,144,72,288,144,
64,64,128,4,28,8,56,8,16,16,24,32,32,32,48,48,48,48,48,48,48,48,48,48,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,1,2,3,3,3,6,6,6,9,9,9,18,9,9,9,9,9,9,
18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,72,36,64,64,128,24,12,12,12,12,24,24,48,
24,24,24,24,48,48,48,48,48,48,48,96,48,96,96,96,96,96,3,6,9,9,9,9,9,9,18,9,9,
9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,16,16,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,16,32,6,3,6,12,12,12,
12,12,24,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,21,24,42,64,112,
224,7,14,21,63,84,84,126,168,252,64,336,672,672,64,3,42,42,42,48,63,63,84,126,
126,168,168,168,252,504,448,112,56,224,56,56,84,112,168,224,336,336,192,3,7,
14,21,21,63,126,126,126,126,126,168,252,448,64,64,128,112,84,168,168,168,168,
168,168,336,336,21,21,42,42,63,126,112,224,64,192,7,28,56,14,56,56,56,84,84,
84,168,24,48,64,1,21,21,112,28,21,42,42,84,24,64,3,28,56,24,48,1,7,14,21,21,
28,24,1,21,1,7,3,7,1,1,2,1,3,1,1],[1,21,24,42,36,108,216,64,64,128,7,14,21,4,
63,84,84,12,48,54,54,126,24,168,36,36,108,108,108,108,252,108,48,144,216,216,
216,216,72,72,216,216,144,144,144,432,144,432,144,432,432,432,432,64,64,192,
576,576,192,384,384,384,768,3,9,42,42,42,48,63,63,27,84,36,36,54,54,54,54,54,
54,54,126,54,54,54,54,54,126,72,24,24,72,72,168,72,168,168,72,36,36,108,36,
108,36,108,108,108,108,108,108,108,36,108,252,108,36,108,108,36,108,108,108,
108,36,108,108,108,108,108,108,48,48,48,48,216,216,72,216,216,72,72,216,72,
504,72,216,72,72,216,216,72,216,72,72,216,216,216,216,216,216,216,216,216,216,
72,216,216,216,216,216,72,216,216,72,72,216,288,288,144,144,432,432,144,144,
432,144,432,432,144,144,144,432,432,144,432,144,432,144,432,144,144,144,144,
144,432,432,144,144,144,144,288,288,288,288,864,288,288,288,288,288,864,256,
112,32,224,32,32,32,48,64,192,64,64,96,96,128,192,576,192,192,192,192,576,192,
192,192,192,192,384,384,384,384,3,7,3,14,21,9,21,18,6,18,6,18,8,27,27,27,27,
27,27,27,63,27,36,12,36,36,12,36,54,54,54,54,126,18,54,54,18,54,54,54,54,54,
54,126,54,18,54,54,126,18,18,54,18,18,18,18,54,54,18,54,18,54,54,126,54,54,54,
54,54,54,54,18,18,54,54,54,54,54,126,54,18,54,24,72,168,72,108,108,36,108,108,
36,108,108,36,36,36,108,108,108,36,108,36,108,36,36,108,108,36,108,108,36,36,
108,36,108,108,108,108,108,36,108,36,108,108,108,36,108,108,108,36,36,108,36,
108,108,108,108,108,36,108,108,108,36,108,36,36,108,108,108,36,108,108,108,
108,108,36,36,108,108,108,108,108,108,36,108,108,108,108,108,108,108,108,108,
108,36,108,36,108,108,252,36,108,108,36,108,36,108,72,216,72,216,216,216,216,
216,72,72,216,216,72,72,72,72,216,72,72,216,72,72,72,216,72,72,72,216,216,72,
216,216,216,216,72,216,216,72,216,72,72,72,72,216,72,72,72,216,72,72,72,72,
216,72,72,216,72,72,72,72,72,72,216,72,216,216,216,72,72,72,72,216,72,72,216,
216,216,216,72,216,216,216,216,216,216,72,72,72,72,216,216,216,216,72,216,72,
216,72,72,216,72,72,216,216,216,72,72,216,216,216,144,144,432,432,144,432,144,
144,144,144,144,144,432,432,144,144,144,144,144,144,432,144,144,144,144,432,
144,432,432,432,144,144,144,144,432,144,144,144,144,432,144,288,288,288,288,
256,256,256,112,48,48,144,144,48,64,64,192,64,96,288,96,288,288,96,96,96,96,
96,96,96,96,192,576,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,384,21,9,21,18,42,6,6,18,6,18,6,18,42,27,
27,27,27,27,27,27,27,27,27,27,63,36,36,36,36,12,12,36,54,18,54,18,18,54,18,18,
54,18,18,54,54,18,126,54,18,18,54,54,54,18,18,54,54,18,54,54,54,18,54,18,54,
18,54,54,54,18,54,54,54,54,18,18,18,54,54,18,18,54,54,54,54,54,18,54,18,18,54,
54,18,18,54,18,18,54,18,54,54,54,18,54,54,54,18,54,18,54,54,54,18,18,54,18,18,
18,18,54,18,54,24,24,72,36,36,36,36,36,108,36,36,108,108,36,36,36,36,36,36,
108,108,36,108,108,108,108,36,108,36,36,108,36,108,36,108,36,36,108,36,36,36,
36,108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,108,36,108,108,36,
108,108,108,108,108,36,108,108,108,108,36,108,108,36,108,108,108,108,108,36,
108,36,108,36,36,36,108,108,36,108,36,36,36,36,36,108,36,36,36,108,108,108,
108,36,36,108,36,108,36,36,108,36,36,108,36,36,36,36,36,36,108,36,36,108,108,
36,36,36,36,108,108,108,36,108,36,108,108,108,36,108,108,36,108,36,36,108,36,
108,108,108,108,108,36,108,36,36,36,36,36,108,108,108,108,108,108,108,108,108,
36,108,36,36,36,108,108,36,36,108,36,108,36,108,36,36,36,36,108,36,36,36,36,
36,108,108,36,36,36,108,36,36,36,36,108,36,36,108,36,108,108,108,36,108,36,36,
36,108,108,36,36,108,36,36,36,36,108,36,108,36,36,108,108,108,36,72,72,72,72,
72,72,72,72,72,216,72,72,72,72,216,216,216,72,216,72,72,72,216,72,72,216,72,
72,72,72,216,72,72,72,72,72,72,72,216,72,72,72,72,216,72,72,72,216,72,216,72,
216,72,72,216,72,216,72,72,72,72,72,72,72,72,72,72,72,216,72,72,72,72,72,216,
216,72,72,72,216,72,72,72,72,72,72,72,72,216,216,216,72,72,72,216,72,72,72,
216,144,144,144,432,144,144,144,64,64,128,256,4,28,8,56,8,48,24,24,32,32,32,
32,32,32,48,48,48,48,144,48,48,48,48,48,144,48,48,96,96,96,288,96,288,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,192,192,192,192,1,1,6,9,9,21,9,3,21,
6,6,18,18,6,18,9,9,27,27,27,27,9,27,27,27,9,27,27,27,27,9,27,27,27,27,27,9,27,
36,36,36,36,18,18,18,18,54,18,18,54,18,18,54,18,18,18,18,18,18,18,18,18,18,54,
54,54,54,18,18,18,54,54,18,18,54,18,18,18,18,18,18,54,54,54,54,18,54,54,18,18,
18,54,54,54,18,18,18,54,54,18,54,18,18,18,18,18,18,54,54,18,18,18,18,18,18,18,
54,18,18,18,18,54,18,54,54,18,18,54,18,54,54,18,18,18,18,54,54,18,54,18,18,18,
54,18,18,18,18,54,54,54,18,18,18,54,18,18,18,54,18,54,18,18,18,54,54,54,18,18,
54,108,36,36,36,36,108,36,36,36,36,36,36,36,36,108,36,36,108,108,36,36,108,36,
36,36,36,36,108,36,36,36,36,36,36,36,36,108,36,36,108,36,36,108,36,36,36,36,
36,36,36,36,36,36,108,108,36,36,36,108,36,36,36,108,36,108,36,36,36,36,36,108,
36,36,36,36,108,36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,108,36,36,36,
36,36,36,108,36,36,36,36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,108,108,
108,108,36,36,36,36,36,36,108,36,36,36,108,108,36,36,36,36,108,108,36,36,36,
36,36,36,36,108,36,36,36,108,36,36,36,36,108,36,36,36,108,36,36,36,36,108,108,
36,36,36,36,108,108,36,72,72,72,72,72,72,72,72,72,72,72,72,216,72,72,216,72,
72,64,64,64,64,64,64,128,28,4,36,36,12,12,48,24,24,24,72,72,24,24,24,72,24,24,
24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,144,48,48,48,48,48,96,96,
96,96,96,96,96,96,3,9,9,9,3,3,18,6,18,9,27,27,27,27,9,9,9,9,9,27,27,9,9,9,27,
27,27,27,27,27,9,9,27,9,27,9,9,27,54,18,18,18,54,18,54,54,18,54,18,18,18,18,
54,54,54,18,18,18,18,18,18,18,18,18,18,54,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,54,18,18,18,18,18,18,54,18,18,18,
54,18,18,18,18,18,54,54,18,18,18,18,54,18,18,18,18,54,18,18,54,54,18,54,18,18,
18,54,18,18,18,18,18,18,18,18,18,18,18,54,18,18,54,36,36,36,36,36,36,36,108,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,108,36,36,36,16,
32,32,64,64,1,1,4,4,8,24,8,12,12,12,36,12,12,12,36,12,12,36,12,24,24,24,24,72,
24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,1,3,3,3,3,9,9,27,
27,9,27,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,27,9,9,9,9,27,27,9,9,18,18,18,18,18,18,
18,18,18,18,18,18,18,54,18,18,18,54,18,18,18,18,16,16,16,32,32,1,1,9,9,3,3,4,
4,6,6,12,12,36,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,3,3,9,9,9,9,9,9,9,
9,9,9,9,9,9,4,4,16,1,3,1,2,3,9,3,3,3,3,3,9,3,3,3,6,6,12,12,9,4,4,4,4,4,4,1,1,
3,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,21,24,42,36,108,216,64,64,128,
7,14,21,12,63,84,84,36,16,54,54,126,72,168,108,108,108,108,108,108,252,108,48,
48,216,216,216,216,216,216,216,216,144,144,144,432,432,432,432,432,432,144,
144,64,64,192,576,576,192,384,384,384,768,3,9,42,42,42,48,63,63,27,84,12,12,
54,54,54,54,54,54,54,126,54,54,54,54,54,126,24,72,72,24,72,168,24,168,168,72,
108,108,108,108,108,108,108,108,108,36,36,108,108,108,108,252,108,108,36,108,
108,108,108,108,36,108,108,108,108,36,36,108,144,144,144,48,216,216,216,72,
216,72,216,216,216,504,72,216,216,72,72,72,72,72,216,216,216,216,72,72,72,72,
72,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,96,96,144,432,
432,432,432,144,432,144,432,144,432,432,144,432,432,144,144,144,432,144,432,
144,432,144,432,144,432,432,144,432,432,432,288,288,288,288,288,288,288,288,
288,288,864,256,16,112,32,224,32,32,48,48,64,192,64,96,128,128,192,192,192,
192,192,192,576,192,192,192,576,384,384,384,384,3,7,1,14,21,3,21,6,18,6,18,6,
24,27,27,27,9,27,9,27,63,27,12,12,12,12,36,12,18,54,54,18,126,54,54,54,54,54,
54,54,18,54,54,126,54,54,18,54,126,54,54,54,54,54,54,54,54,18,54,18,54,54,18,
126,18,54,54,54,54,54,54,54,54,54,18,54,54,54,126,18,54,54,72,24,168,24,108,
108,108,36,36,108,108,108,108,108,36,108,108,36,108,36,36,108,36,108,36,36,
108,36,108,108,36,108,108,108,36,36,108,36,36,108,108,36,108,36,108,108,36,
108,108,36,108,36,36,108,108,108,108,108,36,108,108,108,108,108,108,108,108,
108,108,108,108,36,36,108,36,108,36,108,36,108,108,108,36,108,36,36,36,36,36,
108,36,108,108,36,36,108,108,36,252,108,36,108,36,108,108,36,72,72,72,72,72,
72,72,216,72,72,216,72,216,216,72,72,216,72,72,216,216,72,72,72,72,72,72,216,
72,72,216,72,72,72,72,72,72,72,72,216,216,72,216,72,216,72,72,72,72,72,72,72,
216,72,72,72,72,72,72,72,72,72,72,72,216,72,216,216,72,72,216,72,72,72,72,72,
72,216,72,216,72,216,216,216,72,216,72,72,216,72,72,72,216,216,216,216,216,72,
72,72,72,72,72,216,72,72,72,72,72,72,144,432,144,432,144,432,432,144,432,144,
144,144,144,432,144,432,432,144,144,144,432,144,144,144,144,432,144,432,432,
432,432,432,144,432,432,432,144,432,144,432,432,288,288,288,288,256,256,256,
16,112,48,48,48,48,144,144,48,48,48,48,64,64,192,96,288,96,288,96,288,96,96,
96,96,96,96,96,96,96,96,96,96,96,576,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,384,384,21,9,21,6,42,18,18,18,18,18,18,6,42,9,27,9,27,
27,27,9,9,27,27,27,63,12,12,12,12,36,12,12,18,54,18,54,54,54,54,54,18,18,54,
18,18,54,126,54,54,54,54,54,54,54,54,54,18,54,18,18,54,54,18,54,18,54,54,54,
18,54,54,18,54,54,54,54,54,18,18,54,54,54,54,54,54,54,54,54,54,18,54,54,54,54,
54,54,54,54,54,18,54,54,54,18,18,54,54,18,54,54,18,54,54,54,18,54,54,18,18,54,
54,54,72,72,24,36,36,108,36,108,108,36,108,36,36,108,108,36,108,108,36,36,108,
108,108,36,108,36,108,36,108,36,36,36,36,36,36,36,108,36,108,36,108,36,36,36,
36,36,108,108,36,108,108,36,36,36,36,36,108,36,36,36,108,36,36,36,108,108,108,
36,36,36,36,36,36,36,108,108,36,36,108,108,36,36,108,36,36,36,36,36,36,36,36,
36,36,108,36,108,108,36,108,36,36,108,108,108,36,108,108,36,36,108,108,36,36,
36,108,36,36,36,36,36,108,36,36,36,36,36,36,36,108,36,36,108,108,36,108,36,36,
108,108,108,108,36,36,108,108,108,36,108,36,108,108,36,108,36,36,36,36,108,36,
36,108,36,36,36,36,36,36,36,36,108,108,108,108,36,108,108,36,36,108,108,36,
108,108,108,36,108,108,108,36,36,108,108,36,108,108,36,108,36,108,108,108,36,
108,108,36,108,108,36,36,108,36,108,36,36,108,108,36,36,108,108,108,36,108,
108,108,108,108,36,108,108,36,108,108,36,108,108,108,108,72,72,72,72,72,72,72,
72,72,216,72,72,72,72,72,72,72,72,72,216,72,216,72,72,216,216,72,72,72,72,72,
72,72,72,216,72,72,72,216,72,72,72,216,72,72,72,72,72,72,216,72,216,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,216,
72,72,216,72,72,216,72,72,72,72,216,72,216,72,72,72,72,72,72,144,144,144,432,
144,144,144,64,64,128,256,4,28,8,56,8,16,16,24,96,32,32,32,48,48,48,48,48,48,
48,48,48,48,48,48,48,144,48,48,48,48,144,144,48,48,48,48,48,48,96,96,96,96,96,
96,288,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,288,96,96,96,96,96,192,
192,1,3,2,3,3,21,3,3,21,18,18,6,6,18,6,27,9,27,27,9,27,9,9,27,9,27,9,9,27,27,
9,9,9,27,9,9,27,27,12,12,12,12,18,18,54,18,18,18,54,18,18,18,18,18,18,54,54,
54,18,18,54,54,18,18,54,18,18,54,54,18,54,54,54,54,18,18,54,54,18,54,54,18,54,
54,54,54,18,18,54,18,54,18,18,18,18,18,18,18,54,54,54,18,54,18,18,54,18,18,54,
18,18,18,18,18,18,18,18,18,54,18,54,18,54,18,54,54,18,18,18,18,54,18,54,18,18,
18,54,18,18,18,54,18,18,18,54,18,18,18,18,18,18,18,18,54,54,18,18,54,54,18,18,
18,54,18,18,54,54,54,54,36,36,36,36,36,36,108,36,36,36,36,36,108,108,36,36,
108,108,36,36,36,36,36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,108,108,
108,36,36,108,108,108,108,36,36,36,36,36,36,36,108,108,108,36,108,36,36,36,36,
36,36,36,36,108,36,36,36,108,108,36,108,36,36,36,108,36,36,36,36,36,36,108,
108,36,36,36,108,36,36,108,36,36,36,108,108,108,108,36,36,36,108,108,36,36,36,
108,36,108,36,36,108,108,108,36,36,108,36,36,36,36,108,36,36,36,36,36,36,36,
108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,108,36,108,36,36,36,36,108,36,
36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,108,108,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,64,64,64,64,64,64,128,28,4,36,12,36,12,12,12,
16,16,24,24,72,72,24,24,72,24,48,48,48,48,48,48,48,48,48,144,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,144,48,48,48,48,48,96,96,96,96,96,96,96,3,3,9,3,
9,3,6,18,6,9,9,9,9,9,9,9,9,9,27,9,27,9,9,9,27,9,27,9,9,27,27,9,9,27,9,9,9,27,
18,18,18,18,54,18,18,18,18,54,18,54,18,18,18,18,18,18,54,18,18,54,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,54,18,18,18,18,18,18,54,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,54,18,54,18,18,18,18,18,18,18,18,18,54,18,18,54,18,18,
18,18,18,18,54,18,54,18,18,18,18,18,18,54,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,108,36,36,36,36,
36,36,108,36,36,36,36,36,36,36,36,36,16,16,32,64,64,1,2,4,12,8,8,8,8,12,12,12,
12,12,12,12,12,12,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,72,24,
72,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,3,1,9,9,3,9,9,9,27,27,9,9,9,
27,9,9,9,9,9,9,9,27,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,16,16,16,16,16,16,32,1,9,9,4,12,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,3,1,1,2,3,3,3,9,9,6,
6,12,12,12,12,9,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,21,42,84,
252,448,7,14,21,28,63,84,112,126,126,126,168,168,252,252,252,252,252,252,336,
336,504,504,504,504,504,504,1008,448,1344,1344,512,3,21,42,42,48,63,63,63,84,
84,126,126,126,126,126,126,126,126,126,126,126,168,168,168,168,168,168,168,
168,168,168,252,252,252,252,252,252,252,252,252,252,336,336,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,1008,1008,
1008,1008,1008,1008,1008,1008,2016,112,224,336,336,448,448,1344,1344,1344,7,7,
14,21,21,42,42,42,42,42,56,63,63,63,63,63,63,63,84,84,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
168,168,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,1008,1008,
1008,1008,1008,1008,1008,1008,1008,512,112,336,336,336,336,336,336,336,336,
448,448,672,672,672,672,672,672,672,1344,21,21,42,42,42,42,42,42,42,63,63,63,
63,63,63,63,63,63,84,84,84,84,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,168,168,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,504,504,504,
504,504,504,504,504,504,504,1008,28,112,168,168,224,224,336,336,336,336,336,
336,336,336,672,672,672,672,672,672,192,384,1,7,14,21,21,21,21,42,42,42,42,63,
63,63,63,63,63,63,63,63,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
28,84,84,84,84,112,168,168,168,168,336,336,336,21,21,21,42,63,63,63,63,63,63,
63,63,126,126,126,126,126,126,126,126,126,252,64,192,192,7,28,56,84,84,84,84,
84,84,84,84,168,168,168,168,7,7,21,63,63,63,63,7,21,21,28,84,84,8,21,7,7,21,
21,8,24,24,7,7,1],[1,21,8,42,84,252,168,448,7,14,21,28,63,28,28,84,112,126,
126,126,168,168,252,252,252,84,252,84,252,252,336,336,504,168,504,168,504,504,
504,504,336,336,1008,336,336,336,336,336,336,336,336,448,1344,1344,896,896,
512,3,21,42,42,14,48,63,63,63,28,84,84,126,42,126,126,42,126,126,42,126,126,
126,126,126,126,168,168,168,168,168,168,168,168,168,168,84,252,84,252,84,84,
84,84,84,84,252,84,84,84,84,84,84,84,84,252,252,84,252,84,84,252,84,252,84,
252,84,252,336,112,112,336,504,504,504,504,504,168,504,168,168,504,504,504,
168,504,168,168,168,168,504,504,168,168,168,168,504,504,168,168,504,168,168,
504,168,168,504,168,168,168,504,504,504,168,224,224,336,336,336,1008,336,1008,
1008,336,336,336,336,1008,336,336,336,336,336,336,336,336,336,1008,1008,1008,
336,336,336,336,1008,336,336,336,672,672,672,672,672,2016,672,672,672,672,672,
112,224,336,336,448,448,448,448,1344,448,1344,448,1344,896,896,512,1,7,7,14,7,
21,21,42,42,42,42,42,56,21,63,63,63,63,63,21,63,63,28,84,28,28,84,28,126,42,
126,42,42,126,42,42,126,126,42,42,126,126,126,42,126,126,42,42,126,126,126,
126,42,42,42,42,42,126,42,126,126,42,126,42,42,42,126,42,42,126,126,42,42,126,
42,126,126,42,42,126,42,42,168,56,168,56,84,84,84,84,84,84,84,252,84,84,84,84,
84,84,84,252,84,84,252,252,84,84,84,252,252,252,252,84,84,84,84,84,252,84,84,
84,84,84,84,252,84,84,252,252,252,84,84,252,84,84,252,84,252,252,84,84,84,84,
252,84,84,84,84,252,252,84,252,252,252,84,252,84,84,84,84,252,252,252,252,252,
84,252,84,84,84,252,84,84,84,84,84,84,84,84,252,84,84,252,84,84,84,84,168,504,
168,504,168,168,168,168,504,504,168,168,168,168,504,504,168,168,168,168,168,
168,168,504,168,504,504,168,168,168,168,168,168,168,504,504,168,168,504,168,
504,168,504,168,504,168,168,168,168,168,168,168,168,168,168,168,168,504,168,
168,168,504,168,168,168,504,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,504,168,168,168,336,336,336,336,1008,336,
336,336,336,336,336,336,336,1008,336,336,336,336,336,336,1008,1008,336,1008,
336,336,336,1008,1008,336,336,336,336,336,336,336,1008,336,336,336,1008,672,
672,672,672,512,112,336,336,336,336,336,336,336,336,448,448,672,672,224,672,
224,672,224,672,672,224,224,672,224,1344,448,448,448,448,448,448,448,448,448,
448,448,21,21,7,42,42,14,42,42,42,42,14,42,14,63,21,63,63,63,21,63,63,63,63,
63,21,28,84,28,84,28,84,84,42,42,126,42,126,42,126,42,126,42,126,126,126,42,
42,42,42,42,126,42,42,42,42,42,42,42,126,126,126,126,126,42,126,42,42,42,42,
42,126,126,126,42,42,126,126,126,126,126,126,42,42,126,126,42,42,42,42,126,42,
126,42,42,126,42,42,42,42,126,42,42,126,126,126,42,42,126,42,42,42,42,42,126,
126,42,42,42,126,42,42,42,168,168,56,252,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,252,252,84,84,252,252,84,252,84,84,252,252,84,252,84,84,252,84,84,84,84,
84,252,84,252,84,84,84,84,84,84,84,84,84,252,84,84,84,84,252,84,84,84,84,84,
252,84,84,84,252,252,252,84,84,84,84,252,84,252,84,84,84,252,84,252,84,252,
252,84,84,84,84,84,252,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,252,84,252,84,84,84,84,84,252,84,84,252,84,84,84,84,252,
84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,252,84,84,84,84,84,84,84,
252,84,252,84,84,252,84,84,84,252,84,84,84,84,252,84,84,84,84,84,84,84,84,252,
84,84,84,252,84,84,84,84,84,252,84,84,84,252,84,84,84,84,84,84,84,252,84,84,
252,84,84,84,84,84,84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,252,
84,84,84,84,252,84,168,504,504,168,504,168,168,168,504,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,504,168,168,168,168,168,168,168,
168,168,168,168,504,168,168,168,168,168,168,504,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,504,168,168,504,168,168,168,168,168,168,168,
504,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,336,1008,336,336,336,336,336,512,28,112,
168,168,224,224,112,336,112,112,112,336,336,336,336,112,112,112,336,112,112,
336,112,112,112,336,224,672,224,672,224,224,224,224,672,672,672,224,224,224,
672,224,224,224,448,448,448,192,384,1,7,14,21,21,7,21,21,7,14,42,42,42,14,42,
21,21,21,63,21,21,63,63,21,21,21,63,63,21,63,21,21,21,21,63,63,63,21,28,28,28,
28,42,42,42,42,126,42,42,42,42,42,126,42,126,126,42,42,42,42,42,42,42,42,42,
42,42,126,42,126,126,126,42,42,42,126,42,42,42,126,42,42,42,42,126,42,126,126,
42,42,42,42,126,42,126,42,42,42,42,42,42,126,42,126,42,42,42,126,42,126,42,42,
42,42,126,42,126,42,42,42,42,126,42,42,42,42,126,126,42,42,42,42,42,126,42,42,
42,126,42,42,42,42,126,42,42,42,42,42,42,42,42,42,42,42,42,42,126,42,42,42,42,
42,42,126,42,126,42,126,42,252,84,252,84,252,252,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,252,84,84,84,84,252,84,84,252,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,252,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,252,84,84,
84,84,84,252,84,252,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,252,
84,84,252,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
252,84,84,252,84,84,84,84,84,84,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,28,84,84,84,84,112,168,56,168,56,56,56,56,168,168,
56,112,112,336,112,112,112,336,112,112,112,112,112,112,112,112,112,112,336,
112,112,112,112,224,224,224,224,64,1,7,21,7,21,21,14,14,42,21,21,63,21,21,21,
21,63,21,21,21,21,63,63,63,21,21,21,21,21,21,21,63,21,63,63,21,21,21,42,42,42,
126,42,42,126,42,42,42,42,42,126,126,42,42,42,42,42,126,42,42,42,42,42,42,126,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,126,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,126,42,42,42,42,42,42,42,42,126,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,84,84,84,84,84,252,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,64,192,192,7,28,56,84,28,28,84,28,28,
28,84,84,28,84,28,28,28,84,28,28,84,84,28,56,168,56,56,168,56,168,56,56,56,56,
56,168,56,112,112,112,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,63,63,63,
63,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,64,64,64,7,21,21,28,14,14,28,28,28,28,84,28,
28,28,28,28,28,28,28,28,28,28,28,28,84,28,56,56,56,56,56,8,21,7,7,21,21,21,21,
21,21,21,21,21,21,21,21,7,7,7,7,21,7,7,21,14,14,28,28,28,8,21,8,24,24,7,7,7,7,
7,7,7,7,7,7,8,8,8,7,7,1,1],[1,21,42,84,252,64,448,896,7,14,21,28,63,84,112,
126,126,126,168,168,252,252,252,252,252,252,336,336,504,504,504,504,504,504,
1008,448,1344,1344,1344,2688,512,3,21,42,42,48,63,63,63,84,84,126,126,126,126,
126,126,126,126,126,126,126,168,168,168,168,168,168,168,168,168,168,252,252,
252,252,252,252,252,252,252,252,336,336,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,1008,1008,1008,1008,1008,1008,
1008,1008,2016,1792,112,112,224,224,224,224,224,336,336,448,448,448,448,672,
672,896,896,1344,1344,1344,1344,7,7,14,21,21,42,42,42,42,42,56,63,63,63,63,63,
63,63,84,84,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,168,168,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,1008,1008,1008,1008,1008,1008,1008,1008,1008,1792,512,
512,1024,112,336,336,336,336,336,336,336,336,336,448,448,672,672,672,672,672,
672,672,672,672,672,672,672,672,672,1344,1344,1344,1344,21,21,42,42,42,42,42,
42,42,63,63,63,63,63,63,63,63,63,84,84,84,84,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,168,168,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,504,504,504,504,504,504,504,504,504,504,1008,448,448,448,896,28,28,56,56,
56,56,112,112,168,168,168,224,224,224,224,224,224,336,336,336,336,336,336,336,
336,336,336,672,672,672,672,672,672,672,672,192,384,512,1,7,14,21,21,21,21,42,
42,42,42,63,63,63,63,63,63,63,63,63,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,448,448,448,28,84,84,84,84,84,112,168,168,168,168,168,168,168,168,
168,168,168,336,336,336,336,336,21,21,21,42,63,63,63,63,63,63,63,63,126,126,
126,126,126,126,126,126,126,252,112,112,224,224,64,192,192,384,1,7,14,28,28,
56,56,56,56,56,84,84,84,84,84,84,84,84,84,84,168,168,168,168,168,168,7,7,21,
63,63,63,63,112,112,7,21,21,21,28,42,84,84,84,8,64,21,28,28,56,7,7,7,7,14,14,
21,21,21,28,28,8,8,16,24,24,7,7,21,7,7,8,7,7,1,1],[1,21,24,42,84,252,504,64,
448,896,7,14,21,28,63,84,84,84,112,126,126,126,168,168,252,252,252,252,252,
252,252,252,336,336,504,504,504,504,504,504,504,504,1008,1008,1008,1008,1008,
1008,1008,1008,1008,1008,1008,64,448,1344,1344,1344,1344,2688,2688,2688,5376,
512,3,21,42,42,42,48,63,63,63,84,84,84,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,168,168,168,168,168,168,168,168,168,168,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,336,336,336,336,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,672,672,
1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,
1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,
1008,1008,2016,2016,2016,2016,2016,2016,2016,2016,2016,2016,2016,1792,112,112,
224,224,224,224,224,336,336,448,448,448,448,672,672,896,896,1344,1344,1344,
1344,1344,1344,1344,1344,1344,1344,1344,1344,2688,2688,2688,2688,1536,3,7,7,
14,21,21,21,42,42,42,42,42,56,63,63,63,63,63,63,63,63,63,84,84,84,84,84,84,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,168,168,168,
168,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,
1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,
1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,1008,2016,
2016,2016,2016,1792,1792,1792,512,512,1024,112,112,336,336,336,336,336,336,
336,336,336,336,448,448,448,448,672,672,672,672,672,672,672,672,672,672,672,
672,672,672,672,672,672,672,672,672,672,1344,1344,1344,1344,1344,1344,1344,
1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,1344,
1344,1344,1344,2688,2688,21,21,21,42,42,42,42,42,42,42,42,42,42,63,63,63,63,
63,63,63,63,63,63,63,63,84,84,84,84,84,84,84,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,168,168,168,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,
504,1008,1008,1008,1008,1008,1008,1008,448,448,448,896,1792,512,1536,28,28,56,
56,56,56,112,112,168,168,168,224,224,224,224,224,224,336,336,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,
672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,672,1344,1344,
1344,1344,192,384,512,1,7,14,21,21,21,21,21,21,42,42,42,42,42,42,63,63,63,63,
63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,84,84,84,84,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,504,504,504,504,504,
504,504,504,504,504,504,504,504,504,504,504,504,504,448,448,448,448,448,448,
448,448,448,896,28,28,84,84,84,84,84,84,112,112,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,336,336,336,336,336,336,336,336,
336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,336,
336,336,336,336,336,336,336,672,672,672,672,672,672,672,672,672,672,192,512,3,
21,21,21,21,21,42,42,42,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,
63,63,63,63,63,63,63,63,63,63,63,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,126,126,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,252,112,112,224,
224,448,448,448,64,192,192,384,1,7,14,28,28,56,56,56,56,56,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,336,336,336,336,7,7,21,21,21,63,63,63,63,63,63,63,
63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,126,126,
126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,
126,112,112,112,112,112,112,224,224,192,192,192,1,7,21,21,21,21,28,28,42,42,
42,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,168,168,168,168,168,168,168,168,168,168,168,8,64,21,21,21,63,63,63,63,
63,63,63,63,63,63,63,63,28,28,56,112,112,7,7,7,7,14,14,21,21,21,21,21,21,21,
21,21,21,21,42,42,42,42,84,84,84,84,24,64,63,28,28,28,28,28,28,56,8,8,16,24,
24,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,7,7,28,28,8,24,24,24,
21,21,21,8,7,7,7,7,7,7,8,7,7,1,3,1,1]],
[1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,18,18,18,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
36,36,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,56,56,63,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
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,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,112,126,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,144,
144,144,144,144,144,144,168,168,168,168,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,288,288,288,288,288,288,288,288,336,336,336,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,448,504,512,512,512,512,512,512,512,512,512,512,
512,512,512,512,512,576,576,576,576,576,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,896,1008,1024,
1152,1152,1152,1152,1152,1152,1152,1344,1344,1344,1344,1344,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,2304,2304,2304,2304,2688,2688,2688,2688,3072,3072,3072,4032,4608,4608,
4608,4608,4608,4608,8064,9216,9216,10752,21504,32256,64512],
[2156,2142,2138,2131,2095,1970,1835,2099,1858,1599,2152,2147,2141,2134,2100,
2096,2096,2092,2072,2062,2062,2066,2040,2041,1978,1970,1941,1981,1953,1981,
1955,1940,1930,1932,1758,1730,1681,1730,1705,1758,1681,1758,1578,1589,1573,
1587,1435,1401,1401,1435,1587,1578,1589,2099,1858,1222,1224,1224,1222,648,670,
648,255,1673,2154,2140,2131,2130,2121,2110,2100,2100,2100,2096,2096,2096,2062,
2062,2062,2063,2062,2064,2057,2062,2055,2065,2062,2059,2065,2056,2019,2040,
2040,2031,2037,2034,2030,2041,2008,2009,1990,1978,1937,1970,1981,1973,1981,
1981,1941,1981,1981,1981,1981,1973,1941,1981,1981,1990,1981,1941,1970,1981,
1941,1981,1981,1978,1981,1941,1981,1981,1981,1941,1869,1927,1922,1930,1685,
1704,1681,1715,1681,1806,1758,1675,1761,1676,1735,1685,1730,1806,1675,1675,
1735,1675,1681,1705,1675,1675,1675,1675,1771,1675,1675,1723,1678,1730,1761,
1704,1684,1723,1678,1675,1730,1730,1758,1705,1758,1675,1642,1628,1589,1286,
1587,1258,1254,1562,1258,1580,1286,1580,1286,1230,1578,1286,1254,1508,1580,
1580,1570,1578,1286,1573,1230,1581,1286,1589,1587,1286,1573,1435,1286,1401,
1063,1042,916,1063,867,927,1063,798,1042,1042,860,1142,2072,2072,1997,1998,
1992,1998,1997,1932,1933,1857,1859,1857,1858,1662,1665,1593,1599,1222,1224,
1224,1222,1222,1224,1224,1222,1222,1222,1224,1223,648,670,670,648,1144,2154,
2151,2152,2149,2142,2142,2142,2125,2127,2128,2121,2130,2104,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2096,2095,2096,2096,2095,2096,2063,2062,2055,
2057,2062,2065,2062,2065,2062,2063,2062,2054,2053,2063,2055,2062,2063,2062,
2057,2062,2063,2062,2065,2065,2065,2062,2065,2062,2062,2063,2065,2055,2065,
2062,2063,2062,2062,2062,2055,2062,2062,2055,2062,2062,2062,2062,2062,2063,
2065,2062,2065,2063,2065,2062,2040,2030,2041,2030,1937,1937,1937,1981,1961,
1937,1937,1935,1937,1937,1978,1937,1966,1981,1937,1935,1970,1981,1990,1970,
1946,1949,1937,1935,1961,1970,1970,1941,1937,1937,1981,1981,1937,1981,1981,
1937,1937,1981,1937,1981,1937,1965,1935,1946,1978,1981,1941,1981,1981,1937,
1965,1937,1935,1937,1950,1937,1937,1990,1935,1973,1973,1981,1937,1950,1937,
1937,1941,1981,1981,1937,1981,1937,1981,1981,1981,1949,1937,1937,1973,1937,
1981,1981,1981,1941,1981,1935,1981,1937,1941,1990,1941,1937,1937,1981,1966,
1990,1981,1935,1973,1981,1937,1981,1735,1715,1735,1675,1675,1684,1684,1836,
1715,1826,1675,1675,1806,1735,1735,1806,1723,1806,1735,1684,1806,1806,1806,
1675,1761,1735,1735,1684,1675,1735,1675,1675,1684,1675,1735,1715,1675,1806,
1771,1806,1758,1735,1758,1675,1705,1735,1806,1675,1735,1806,1735,1806,1675,
1735,1806,1675,1735,1806,1806,1735,1806,1806,1675,1806,1675,1771,1675,1735,
1735,1735,1806,1684,1806,1735,1675,1675,1675,1675,1771,1684,1675,1675,1723,
1723,1675,1761,1806,1806,1761,1675,1675,1675,1675,1735,1684,1735,1675,1806,
1735,1675,1806,1839,1675,1675,1675,1735,1806,1675,1675,1675,1580,1254,1580,
1570,1562,1286,1254,1580,1286,1580,1508,1580,1580,1258,1580,1254,1286,1580,
1508,1580,1258,1562,1580,1562,1508,1570,1580,1258,1258,1570,1286,1286,1508,
1254,1570,1286,1562,1286,1580,1286,1230,1042,1063,1063,1042,1142,1142,1142,
1673,1673,1228,2072,2072,1932,1933,1933,1932,1930,1930,1931,1931,1933,1932,
1857,1858,1859,1857,1666,1638,1669,1663,1667,1638,1670,1632,1651,1628,1662,
1634,1628,1634,1651,1665,1642,1671,1632,1664,1642,1223,1196,1224,1222,1222,
1222,1223,1206,1224,1215,1223,1225,1200,1222,1216,1222,1225,1202,1224,1222,
1224,1224,1195,1221,1207,670,671,2141,2140,2142,2130,2130,2121,2127,2129,2121,
2116,2121,2130,2121,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,
2100,2096,2078,2096,2096,2083,2095,2097,2057,2065,2063,2062,2065,2054,2065,
2062,2063,2062,2062,2055,2055,2065,2062,2062,2062,2062,2063,2062,2062,2062,
2062,2062,2057,2065,2055,2063,2063,2065,2053,2062,2055,2062,2062,2054,2062,
2065,2055,2063,2055,2062,2062,2062,2062,2055,2063,2062,2065,2065,2062,2055,
2063,2062,2065,2062,2062,2062,2062,2055,2062,2062,2063,2062,2062,2065,2062,
2063,2065,2065,2065,2055,2053,2062,2062,2063,2065,2062,2062,2055,2062,2062,
2063,2062,2062,2062,2062,2062,2062,2062,2042,2040,2030,1970,1970,1937,1981,
1937,1937,1981,1937,1965,1946,1937,1937,1977,1937,1937,1981,1935,1937,1937,
1935,1977,1937,1935,1937,1977,1937,1981,1950,1981,1941,1990,1935,1981,1937,
1941,1937,1970,1937,1980,1935,1981,1981,1981,1937,1937,1981,1937,1937,1981,
1981,1981,1973,1981,1937,1978,1981,1973,1937,1990,1981,1935,1937,1966,1966,
1935,1935,1935,1981,1981,1961,1961,1935,1937,1981,1981,1937,1937,1935,1981,
1935,1981,1969,1935,1981,1965,1981,1981,1981,1935,1935,1937,1946,1937,1937,
1981,1937,1973,1981,1937,1937,1976,1981,1941,1937,1941,1976,1937,1937,1976,
1941,1981,1937,1981,1981,1981,1981,1981,1937,1981,1978,1978,1981,1935,1969,
1981,1937,1981,1981,1937,1937,1970,1941,1941,1941,1937,1941,1937,1937,1950,
1941,1937,1937,1955,1981,1937,1981,1937,1937,1977,1941,1981,1981,1981,1981,
1937,1949,1981,1980,1981,1980,1981,1935,1981,1941,1969,1935,1937,1941,1937,
1937,1981,1937,1937,1990,1981,1941,1941,1981,1937,1935,1937,1949,1937,1935,
1937,1981,1981,1976,1937,1981,1937,1937,1973,1937,1941,1941,1937,1937,1990,
1937,1937,1953,1937,1937,1935,1940,1937,1941,1937,1981,1941,1937,1937,1935,
1981,1937,1937,1937,1941,1937,1937,1941,1980,1937,1981,1937,1937,1981,1937,
1937,1981,1937,1941,1935,1937,1814,1715,1715,1806,1705,1735,1761,1771,1715,
1684,1806,1806,1806,1771,1684,1675,1684,1689,1684,1735,1735,1814,1684,1806,
1806,1684,1735,1806,1806,1806,1675,1735,1806,1735,1847,1761,1735,1814,1698,
1806,1806,1761,1806,1675,1806,1814,1806,1684,1806,1702,1771,1723,1735,1735,
1675,1761,1675,1806,1758,1709,1735,1735,1735,1847,1806,1735,1735,1735,1675,
1806,1735,1715,1846,1758,1684,1675,1806,1735,1771,1675,1735,1806,1723,1806,
1735,1735,1758,1735,1675,1675,1723,1806,1723,1735,1675,1806,1735,1735,1675,
1580,1562,1580,1570,1580,1580,1508,1857,1859,1858,1599,1142,1673,1144,2135,
2134,2104,2107,2107,2105,2072,2072,2048,2047,2045,1998,1998,1998,1997,1992,
1997,1933,1932,1931,1930,1933,1931,1931,1931,1930,1932,1930,1933,1933,1930,
1932,1932,1933,1931,1930,1930,1933,1932,1932,1931,1932,1933,1628,1667,1632,
1634,1662,1663,1638,1666,1663,1664,1665,1666,1662,1642,1665,1669,1651,1651,
1665,1671,1671,1664,1628,1667,1667,1634,1638,1669,1670,1670,1664,1642,1632,
1662,1222,1223,1224,1225,1999,1863,1673,2156,2151,2149,2140,2142,2141,2142,
2140,2141,2121,2131,2130,2125,2127,2128,2100,2100,2100,2100,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,
2100,2097,2096,2097,2096,2062,2062,2062,2062,2055,2062,2065,2057,2062,2062,
2063,2065,2062,2065,2065,2062,2062,2064,2062,2062,2062,2062,2062,2062,2055,
2062,2065,2062,2055,2063,2062,2062,2055,2062,2062,2065,2062,2062,2062,2055,
2055,2055,2063,2056,2063,2063,2062,2062,2065,2062,2055,2062,2059,2063,2062,
2055,2055,2062,2062,2062,2062,2062,2062,2062,2062,2063,2062,2065,2062,2062,
2062,2062,2062,2062,2063,2062,2062,2062,2062,2063,2065,2062,2062,2054,2062,
2053,2062,2057,2055,2062,2065,2062,2062,2062,2055,2062,2062,2062,2062,2062,
2055,2062,2065,2062,2062,2062,2055,2062,2062,2062,2062,2055,2062,2062,2062,
2055,2065,2055,2062,2062,2062,2063,2062,2055,2063,2065,2055,1935,1980,1977,
1981,1981,1935,1937,1981,1981,1981,1981,1981,1937,1955,1941,1981,1937,1941,
1941,1976,1981,1941,1977,1981,1981,1981,1981,1935,1937,1976,1981,1980,1981,
1981,1981,1977,1941,1981,1937,1937,1937,1977,1977,1937,1937,1937,1937,1981,
1981,1969,1969,1981,1981,1941,1937,1937,1937,1980,1937,1976,1976,1981,1941,
1980,1941,1969,1969,1937,1953,1940,1935,1937,1937,1981,1937,1941,1981,1969,
1937,1980,1976,1981,1981,1977,1940,1976,1937,1969,1977,1977,1976,1969,1941,
1937,1981,1981,1981,1955,1937,1937,1937,1981,1981,1980,1937,1937,1969,1981,
1981,1955,1940,1937,1969,1981,1937,1937,1937,1980,1935,1941,1935,1935,1940,
1981,1937,1976,1976,1977,1941,1981,1981,1976,1941,1941,1981,1977,1981,1981,
1935,1941,1976,1953,1981,1953,1981,1981,1981,1941,1981,1937,1981,1941,1981,
1976,1937,1980,1941,1981,1981,1981,1941,1980,1980,1981,1953,1981,1941,1969,
1980,1977,1981,1977,1955,1980,1846,1735,1758,1846,1847,1814,1735,1735,1758,
1806,1735,1814,1684,1806,1847,1684,1806,1806,1857,1859,1858,1859,1858,1859,
1857,1858,1857,1599,2134,2135,2095,2097,2095,2094,2094,2096,2072,2072,2047,
2044,2048,2048,2048,2018,2050,2036,2040,2036,2018,2048,2048,2045,2042,2048,
2041,2048,1932,1933,1902,1933,1933,1932,1932,1932,1932,1930,1930,1921,1931,
1933,1931,1917,1932,1932,1900,1931,1931,1931,1930,1933,1933,1913,1915,1907,
1930,1930,1931,1930,1933,1905,1662,1663,1664,1665,1666,1667,1668,1669,1670,
1671,1999,1673,2154,2142,2140,2142,2141,2140,2128,2121,2130,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2062,2062,2062,2065,
2055,2062,2055,2055,2065,2055,2062,2063,2062,2062,2055,2055,2055,2063,2062,
2053,2062,2065,2062,2062,2062,2063,2062,2055,2062,2062,2062,2062,2062,2062,
2065,2062,2062,2062,2062,2062,2062,2062,2065,2065,2063,2065,2062,2062,2062,
2063,2062,2065,2062,2062,2062,2062,2062,2062,2063,2065,2062,2062,2055,2065,
2062,2062,2062,2062,2062,2062,2062,2062,2055,2055,2062,2062,2062,2065,2055,
2062,2062,2062,2063,2055,2054,2062,2055,2055,2065,2063,2062,2062,2062,2055,
2062,2062,2062,2062,2063,2063,2062,2062,2062,2062,2062,2062,2063,2062,2055,
1981,1969,1969,1981,1981,1953,1980,1941,1981,1976,1980,1981,1969,1976,1981,
1955,1981,1977,1940,1977,1977,1980,1937,1980,1981,1949,1946,1969,1941,1977,
1976,1976,2072,2071,1997,1998,1857,1858,1859,2099,1999,2000,1863,2156,2151,
2149,2135,2134,2104,2107,2107,2107,2105,2097,2097,2097,2097,2097,2095,2096,
2094,2094,2095,2095,2095,2097,2094,2095,2096,2097,2094,2096,2096,2094,2095,
2096,2096,2094,2096,2040,2036,2045,2048,2018,2045,2046,2050,2036,2018,2047,
2048,2048,2047,2045,2044,2040,2041,2048,2048,2042,2047,2048,2041,2043,2042,
2042,2048,2050,2044,1930,1931,1932,1933,2151,2152,2141,2141,2140,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2100,2065,2062,
2065,2063,2062,2062,2062,2063,2065,2062,2063,2063,2062,2055,2062,2062,2062,
2055,2065,2062,2062,2062,2072,2071,2072,2071,2071,2072,1997,1998,1999,2000,
2001,2156,2151,2140,2140,2141,2141,2135,2134,2130,2121,2121,2097,2096,2094,
2095,2097,2095,2097,2093,2097,2096,2097,2095,2097,2095,2096,2095,2096,2096,
2097,2096,2094,2094,2094,2094,2095,2096,2094,2040,2041,2042,2043,2044,2045,
2046,2047,2048,2049,2050,2150,2099,2140,2141,2142,2100,2100,2100,2100,2100,
2100,2100,2100,2100,2100,2100,2100,2134,2135,2107,2071,2072,2151,2152,2151,
2152,2147,2149,2140,2140,2140,2141,2141,2141,2141,2140,2141,2140,2141,2121,
2130,2121,2130,2094,2095,2096,2097,2137,2099,2100,2134,2134,2135,2134,2135,
2135,2107,2150,2150,2143,2139,2138,2151,2151,2152,2152,2141,2141,2140,2140,
2141,2140,2140,2141,2142,2141,2141,2142,2140,2130,2131,2151,2152,2134,2135,
2150,2137,2138,2139,2140,2141,2142,2150,2151,2151,2152,2151,2152,2152,2150,
2151,2152,2156,2154,2156,2156],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,9,1,8,1,9,9,1,1,10,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,
2,1,1,1,2,1,2,2,1,1,1,2,2,2,1,1,2,1,1,1,5,2,2,1,1,1,1,1,1,2,1,1,2,2,1,1,2,1,1,
1,1,1,2,2,2,2,2,2,1,1,2,2,2,1,1,1,2,2,2,1,1,1,2,1,1,5,1,4,2,1,1,1,1,1,1,1,1,6,
1,2,1,1,1,1,6,2,6,1,5,2,5,4,2,6,1,2,1,6,1,5,6,4,6,1,6,5,5,4,1,19,11,12,12,12,
14,11,34,13,14,1,1,1,24,23,19,1,9,8,8,1,9,1,8,1,9,9,8,18,9,10,10,9,1,1,1,1,1,
1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,2,2,1,2,2,1,1,2,2,
2,2,2,2,1,1,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,1,1,2,1,2,2,2,1,2,2,1,2,2,2,2,2,2,2,
1,2,1,2,2,2,2,2,1,2,2,2,2,2,1,2,1,2,2,2,1,2,2,1,1,2,2,2,1,1,1,2,1,1,2,2,1,2,2,
2,1,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,2,1,2,2,1,2,1,2,2,2,2,2,2,2,1,2,2,2,1,2,1,2,2,2,2,2,1,2,6,2,2,4,4,2,2,2,2,
2,2,1,6,5,2,5,2,4,2,5,5,2,2,6,6,4,2,2,2,2,4,2,6,2,2,5,2,1,1,6,1,2,1,6,2,2,6,5,
6,5,2,6,1,2,6,5,5,6,5,5,2,5,2,2,2,2,6,6,1,4,5,6,2,2,2,2,2,4,2,2,2,2,2,2,5,1,2,
2,2,2,2,1,4,2,2,5,6,2,2,1,2,2,2,1,5,2,2,2,6,2,4,4,6,2,2,5,2,5,32,6,4,2,6,2,2,
5,32,5,2,6,4,6,32,4,4,2,2,4,2,2,32,2,4,2,6,2,6,2,1,5,6,6,5,9,8,224,64,1,64,
225,226,232,233,233,34,226,11,225,19,13,232,234,9,8,8,12,11,11,12,97,226,14,
233,13,34,24,232,232,34,233,23,19,12,13,94,225,253,228,5,9,56,2,18,239,58,231,
253,14,24,9,230,56,234,23,58,56,8,58,227,238,229,61,240,1,1,2,11,1,13,13,11,
13,11,1,11,13,2,2,2,2,1,2,2,2,2,2,2,2,2,11,2,2,13,5,2,2,13,11,13,1,2,13,2,11,
2,1,11,2,2,13,13,1,2,11,13,13,13,13,13,2,13,11,11,2,2,2,2,11,13,13,2,2,2,11,2,
11,2,13,13,13,11,11,13,13,13,2,2,11,2,13,2,13,2,13,11,2,13,11,13,13,13,13,11,
13,13,13,2,2,2,2,2,13,2,2,2,2,2,11,2,2,2,2,2,13,2,4,1,2,6,6,13,21,13,13,21,13,
15,15,13,13,13,2,13,20,11,13,13,2,2,13,2,2,13,13,21,15,21,2,21,2,20,13,15,2,6,
2,11,11,13,20,20,13,2,2,13,2,20,13,21,20,21,13,5,13,20,2,21,2,11,13,4,4,11,11,
2,20,2,4,4,2,2,2,2,13,13,11,2,11,2,13,11,21,15,2,13,21,11,11,13,15,2,2,21,13,
20,2,13,13,2,2,2,2,2,11,13,13,11,11,2,13,2,20,20,2,20,2,20,5,5,21,11,13,13,2,
2,2,2,13,6,15,13,13,2,11,13,13,15,2,2,13,2,20,13,20,13,13,13,11,2,2,2,2,2,15,
21,11,21,11,20,11,2,15,13,11,2,15,13,13,13,2,13,21,13,2,13,21,13,2,2,15,13,11,
2,21,21,11,13,20,13,2,20,13,15,15,2,2,21,13,13,2,13,13,2,2,13,11,2,2,2,13,13,
11,20,13,2,13,15,13,13,15,2,13,13,13,2,21,2,13,20,2,13,2,13,21,29,29,2,6,20,
32,32,29,15,5,21,21,32,15,2,15,20,2,2,6,2,15,21,2,2,2,2,21,21,2,6,21,20,15,32,
20,15,4,21,21,32,2,2,21,20,21,15,21,15,32,31,20,20,2,32,2,21,5,21,20,20,2,15,
5,20,20,20,2,21,20,29,4,4,4,2,21,20,32,2,20,21,31,5,6,2,6,20,2,2,31,5,31,20,2,
21,6,20,2,42,29,42,31,42,42,32,14,19,11,12,224,8,64,260,260,271,261,262,262,
19,11,269,270,267,14,271,12,11,12,12,233,232,19,226,13,225,225,225,11,232,226,
13,13,11,34,232,233,19,226,226,233,34,34,225,232,233,232,97,233,232,238,228,
226,227,228,643,239,227,24,225,23,231,233,233,239,229,229,94,232,97,97,232,
226,231,230,230,643,225,233,238,56,253,58,234,65,70,64,1,1,11,11,2,13,2,11,13,
13,4,11,11,13,11,2,11,13,2,2,13,11,11,2,13,2,2,11,2,2,11,2,13,13,2,11,2,13,65,
2,65,2,20,20,13,21,11,20,13,15,21,21,11,13,21,13,13,2,21,15,13,2,20,11,13,2,
15,13,13,21,11,11,13,13,15,21,13,13,21,13,2,13,13,15,11,15,11,11,13,20,13,15,
11,13,15,11,11,11,15,13,13,20,13,13,21,13,15,11,13,13,20,2,20,11,15,20,11,13,
13,21,2,11,13,11,13,13,20,11,20,15,13,20,13,20,20,15,11,20,2,2,13,20,11,13,13,
21,15,15,13,13,21,21,21,15,13,15,21,15,13,15,21,13,13,11,15,11,11,13,15,11,68,
86,20,77,11,13,77,77,77,77,77,13,31,72,77,13,72,72,80,77,72,86,77,20,21,21,11,
13,80,77,66,77,77,77,71,72,21,13,13,13,89,71,13,13,13,13,77,77,89,65,77,77,72,
13,13,13,66,13,73,73,20,72,66,72,89,89,13,29,32,11,13,13,77,13,72,77,65,13,80,
80,20,2,89,32,68,13,89,71,89,68,86,72,13,77,77,20,31,13,13,13,77,21,80,13,13,
86,77,77,31,32,13,86,77,13,13,13,80,11,72,11,11,32,20,13,73,68,89,11,77,21,68,
72,72,77,86,13,21,11,2,73,29,21,29,77,77,77,72,20,13,77,72,13,80,13,68,13,13,
77,20,15,80,68,13,29,2,72,86,66,86,21,71,31,68,83,20,42,83,83,79,20,20,42,21,
20,79,15,21,83,15,21,21,236,225,1140,1139,237,235,234,226,1138,1141,1146,1145,
1146,703,260,260,1145,700,225,226,270,261,269,1153,1153,1146,262,260,271,1145,
260,1153,269,267,794,1153,262,269,232,233,1155,618,233,613,232,76,232,66,226,
270,75,65,225,1150,613,613,1147,225,617,617,615,233,618,1154,1148,1149,226,
615,617,615,618,267,634,627,643,639,624,97,1157,626,630,641,65,606,65,2,11,65,
13,66,265,13,11,72,15,11,13,15,66,73,73,73,72,11,71,66,72,72,71,65,65,71,71,
13,13,73,72,72,11,66,72,72,72,77,77,86,265,280,11,72,86,72,280,68,77,280,265,
72,72,66,13,73,77,13,280,20,73,80,77,72,77,280,280,72,77,13,89,72,13,79,66,
280,77,77,86,13,68,65,79,79,77,80,77,86,280,72,77,72,280,72,68,89,13,280,265,
89,79,79,72,280,280,77,77,280,72,71,21,13,77,89,265,280,280,66,68,265,71,79,
72,72,71,11,73,13,77,72,21,77,20,77,80,73,280,72,79,79,77,72,80,77,71,77,335,
335,77,77,274,334,72,77,300,334,77,335,300,77,279,77,310,273,310,310,334,13,
334,77,83,83,335,72,310,300,300,261,260,262,271,1138,1140,1139,1860,1226,1862,
1227,1229,1230,1231,260,260,271,261,262,1231,262,1603,1603,703,703,703,260,
1607,1145,1145,1146,1146,1146,1603,260,1146,1607,1603,260,1607,700,1145,260,
700,1607,1145,700,1147,1145,1155,1153,1146,267,1241,1149,1145,1146,1154,1153,
1153,1154,1155,1148,1147,1150,1153,269,1624,270,1153,1150,1243,794,1624,1153,
1149,1148,615,617,613,618,260,11,260,13,260,279,273,72,265,279,265,279,276,
265,280,276,280,274,280,274,280,279,260,280,265,273,72,280,274,273,72,265,265,
273,274,335,280,335,300,280,280,280,300,310,280,334,334,77,265,280,280,280,
265,310,77,280,280,1151,1854,1853,1146,1145,1152,1855,1856,1226,1862,1860,
1864,1865,1864,1229,1230,1865,1145,1146,1231,1865,1230,1603,1607,672,1604,703,
1146,1603,1866,1603,1607,1603,1146,1603,1604,1607,673,1607,700,1603,1607,1145,
1605,1605,1145,1604,1607,1605,1618,1626,1624,1243,1611,1623,1906,1610,1153,
1872,1616,1229,1860,673,672,265,1258,695,672,1258,673,688,280,693,1258,688,
1258,693,1230,1229,1231,1854,1853,1229,1229,1230,1935,1934,1231,1229,1864,
1864,1865,1230,1865,1230,1864,1865,1864,1865,1865,1866,1865,1866,1605,1604,
1607,1603,1229,2052,1258,1865,1868,1864,2068,2069,1867,2070,1229,2051,2051,
2111,2112,1864,1865,2076,1864,1678,2006,2005,2005,1865,1864,1676,1865,2076,
2006,2006,1935,2005,2010,2077,1934,1935,2068,2069,1864,2051,2112,2111,2005,
2006,2076,2051,2073,2075,2074,2132,2076,2133,2108,2132,2133,2153,2153,2153,
2155],
[( 1, 2)( 3, 4)( 5,24)( 6,12)( 7, 9)( 8,10)(11,17)(13,14)(15,16)(18,23)(19,21)
(20,22),( 1, 8)( 2, 3, 5, 6)( 4, 7,20,14)( 9,21)(10,11)(12,13,24,16)(15,18)
(17,22,19,23)],
[[[[]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[7,
1,5,1,7,1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,-1,5,1,7,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,
1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,
2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-3,2,-1,4,-1]]],[[[2,1,
1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,
3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,
1,2,-2,6,1],[5,2],[8,1,7,-1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,
-1],[8,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,
1,1,1,2,-2,6,1],[7,1,5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[8,-1,7,-1,8,1,7,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,
-1,5,-2,7,1,5,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1],[1,1,2,
1],[2,1,1,1],[6,2,2,1],[7,1,8,-1,7,1,8,-1],[5,1,9,1,5,1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[
1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1],[8,1,5,-2,8,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1],[8,2,5,
-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,
3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[7,1,5,1,7,1,8,-1,7,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[7,1,5,-1,7,-2,5,1,7,1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1,1,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,-2],[1,1,2,-2,1,
1,3,1,1,1,2,-1],[3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[
4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,
1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,-1,7,1]]],[[[
2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,
-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,
1,2,-1,4,1,3,1,5,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,
1],[2,-2],[4,1,3,-1,1,1,2,-1,1,1,2,1,1,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,
-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[7,1,5,-1,7,-2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,-1,7,1]]],[[[1,1,2,1],[1,1,2,-1],[3,
2,2,1],[4,1,5,2,1,1,2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
4,1,2,-1,4,-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,
1,1,3,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[2,1,1,1],[2,1,3,-1,
1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[2,1,
1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[
3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,
1,6,1,5,1,6,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,
1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,
3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,3,-1,2,-2],[4,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[1,1,2,1],[
2,1,1,1],[2,1,6,-1,5,1,6,-1,5,1,6,-1],[7,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,2,3,2,4,
-1]]],[[[2,1,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,2,3,-1,2,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,4,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[5,2],[8,1,7,-2,8,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[5,1,7,-2,5,-1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,6,-1,5,2,6,1],[4,2,7,2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,2,6,1],[7,1,4,1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,
1,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,2,6,1],[7,1,4,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1],[
8,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,
2,-2,6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,1,7,1,
5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[7,1,5,1,7,1,
8,-1,7,1,8,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,
1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,
2,-2,6,1],[5,2,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,1,5,2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,
-2,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[7,-1,5,1,7,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[8,-1,7,-1,8,1,7,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,
1],[7,1,5,1,7,-2,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1],[8,2,5,-2]]],[[[1,1,2,1],[1,1,2,-1],[
4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-2,1,1,2,-1,3,2,2,1,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,
2],[8,1,7,-1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,
1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-2,
1,1,2,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,4,-2,5,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,-1,5,1,2,
-2,4,2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,1,4,-1,5,1,6,
1,4,1,2,-2]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[
2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,-1,2,-2,5,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-2],[3,2],[6,
1,4,-1,5,1,1,1,2,-1,4,-1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2],[6,
1,3,1,4,2,5,-1,6,1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,1,1,
3,-2,2,-1,3,-1,4,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,
6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,
-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[
1,1,2,-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,
1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,
1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,2,1,4,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,1,2,1,3,2,4,1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,1,1,2,-1,3,2,2,1,4,
1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2],[2,-2,5,1,4,1,2,1,1,1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,
1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,
1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,
1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2],[4,1,2,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,2,1,4,-1,1,1,4,1,3,-1,4,1,2,-2]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,
3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,-2],[2,
1,3,2,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,
-1,2,-1,3,-1,2,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,
-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,
2,5,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,5,1,4,
-2]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,2,-2,1,1,2,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
-2],[5,1,1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,1,5,1,7,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,
7,-1,5,2,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,
1,1,1,2,-2,6,1],[7,1,5,1,7,-1,5,2]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,
2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[7,1,5,2,7,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,2,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,-1,5,2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[
8,1,7,-1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,
1,2,1,1,1,2,-2,6,1],[7,-1,5,1,7,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,-2,5,-1,7,1]]],[[[1,1,2,
1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
2,2,1,4,1,2,1,4,-1,3,-1,4,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,-2,3,1,2,1,3,1,1,1,2,
-1,3,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,1,3,2,2,1,1,1,4,-1]]],[[[
1,1,2,-2,1,1]],[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,
3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-2,4,1,2,1,3,2,1,1,2,-1]]],[[[
2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,
1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,
5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-2,5,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-2,5,-1,2,-2]]],[[[2,1,1,1],[
1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,-2],[4,1,3,-1,1,1,2,-1,1,1,2,1,
1,1,3,1,4,1]],[[1,1,2,1],[2,-2],[4,1,3,1,1,1,2,-1,1,1,2,-2,3,-2,4,1]]],[[[1,1,
2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,
2,1,1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[
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-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[
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2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1],[5,2,8,-1,7,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[5,1,7,-1,5,2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,
-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,
5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,
1],[2,1,1,1,4,1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,
2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,1,1,2,-1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,
1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-1,3,-1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1,1,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,-1,3,-2],[4,1,5,
-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,
-1,5,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[
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3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,
1,1,2,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,1,1,1,2,-2,4,
1]],[[1,1,2,1],[2,-2],[2,1,1,1,3,-1,2,-1,3,-1],[4,1,5,-2,4,1]],[[1,1,2,1],[2,
1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,2,-1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,-2],[4,1,3,1,1,1,
2,-1,1,1,2,-2,3,-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,
-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,
4,1,3,1,1,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,
-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[
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1,2,-1],[3,2,4,1,5,-1,2,-2,5,1,4,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,
1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-2,3,1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1,2,1],[1,1,2,-1],[3,2,2,1],[4,1,5,2,1,1,2,-1,4,1]]],[[[1,1,2,1],[2,-1,1,1,2,
-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,2,-2,1,1,2,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,2,1,4,-1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,
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2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,
3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]],[[
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1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[5,-3,7,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,
1,2,1,1,1,2,-2,6,1],[7,1,5,2,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,1,5,1,7,-1]]],[[[1,1,2,1],[1,1,
2,-1,1,1,3,-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,
3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
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-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[
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1,2,-1],[4,1,2,-1,3,-2,5,2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,1,
1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[2,1,1,1],[
1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,
-1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[
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3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,
1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,2,4,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,1,1,3,-2,2,-1,3,-1,4,-1,2,-2]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,4,-2,5,1]]],[[[2,-2],[3,1,1,1,
2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,
1,5,1]],[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,
5,1,3,2,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[
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3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,
4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,-1,2,-2,5,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[2,-2],[5,1,2,1,4,-1,3,-1,4,1,5,1,1,1,2,-1,3,1,2,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,
1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,
1,1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,
2,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,1,1,3,-1,
2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[
3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,
2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,
3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,
-2,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1]],[[2,
1,1,1,2,-2,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]]],[[[1,1,
2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,
4,1,5,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1,3,-2,2,1,3,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,
1],[1,1,2,-1],[2,-2,3,-1,4,1,1,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,4,
1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,
1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[1,1,2,-1],[
4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,4,-1,3,-2]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,
4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,
1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,1,1,2,-1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
1,3,1,4,2,3,-2,2,-2]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,2],[5,1,6,1,4,-1,5,1,6,1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,1,3,1,2,
-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,
1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
2,1,1,1,4,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2]],[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,
3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,
-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,2,-2,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[
3,2,2,-2,1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,
1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,-2,1,
1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[
3,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,1,1,3,-3,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,
2,4,-1,5,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,1,3,
1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-3,2,-1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,2,2,1,4,1,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-1,4,1,2,1,3,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,
3,1,4,1,5,-1,4,1,3,2,2,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,
1,4,1,5,-1,4,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,
3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[2,-2],[3,1,
2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,1,1,3,-1,4,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-2,4,-1,5,1,3,2,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,1,1,2,-1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[
2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,
3,1,1,1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,2,3,-2,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,1,2,1],[
2,-2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,3,2],[4,2,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1]],[[2,1,
1,1,2,-2,1,1,2,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,-2,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,3,-1,5,-2]]],[[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,
2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,
4]]],[[[2,-2]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]]],[[[2,1,1,1],[2,1,3,-1,
2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2]],[[2,1,
1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,
3,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[2,1,1,1,2,-2,
1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,
4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,
6,1,2,1,1,1,2,-2,6,1],[5,2],[7,1,5,1,7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[
2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-2],[8,2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,-2,5,-1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,
2],[8,1,7,-1,8,-1,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,
-1,7,-2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,
2,1,1,1,2,-2,6,1],[5,1,7,1,5,2,7,-1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,2,6,1],[7,2,4,-1]],[[1,1,2,1],[2,-2,1,1,3,
-1,2,1,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,2,6,1],[7,1,4,1]],[[1,1,2,
1],[2,-2,1,1,3,-1,2,1,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,2,6,1],[7,1,4,
-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,-1,5,
2,6,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,
1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,-1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,2,7,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[5,2,7,-1,5,1,7,-1]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,1,2,-1],[3,1,4,-1,3,1,
4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[3,2],[1,
1,2,-1,4,-1,2,-2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,
2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,
1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,-2,3,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,
2,1,1,1,2,-2,6,1],[7,1,5,1,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,-1,7,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,2,5,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2,4,1,5,-1,2,-2,5,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2],[6,1,
4,1,6,1,3,1,5,2,4,-2,3,-1,6,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,
4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,2,2,1,4,-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,3,2,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,2,-2,5,1,3,2,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1,2,-2]]],[[[2,-2]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1],[4,1,2,-2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-2,1,1,2,-1,3,2,2,1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[2,-2,5,1,4,1,2,1,1,1,5,-1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,
1,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,2,-2,1,1,2,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,
1,2,-1],[3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-2,5,-1,2,
-2]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,1,2,-1],[3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,-2],[3,2],[6,1,4,-1,5,1,1,1,2,-1,4,-1,6,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,-2],[6,1,3,1,4,2,5,-1,6,1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,
-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,-1,4,1,2,-2,1,1,2,-1,3,2,2,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,2],[4,1,
2,-2,4,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,
-2,3,2,2,1,4,-1,1,1,2,-1,4,-1,1,1,3,-1]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,1,2,
-1],[3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,
5,1]],[[1,1,2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,1]]],[[[
1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[1,1,2,
-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,
1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,
1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,
1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,5,1,4,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[7,1,5,2,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[
2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,
3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,-2,5,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,-3,7,
-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[
4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-2,1,1,2,-1,3,2,2,1,4,
-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,2,3,-1]],[[2,1,1,1],[2,-2],[4,1,3,-1,1,1,2,-1,1,1,2,1,1,1,3,1,4,1]],[[1,
1,2,1],[2,-2],[4,1,3,1,1,1,2,-1,1,1,2,-2,3,-2,4,1]]],[[[1,1,2,1],[2,-2],[3,1,
2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,1,1,
1,2,-2,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,
-1,5,1,3,2,2,1,4,1]]],[[[2,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,
1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,
3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,
5,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,2,1,4,-1,3,-1,4,1,5,1,1,1,2,-1,3,1,2,1,
3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,
4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,1,1,2,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]]],[[[1,
1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[
2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-2,
1,1,2,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,4,
-1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,-2,3,1,1,1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,1,2,-2,5,1,3,2,4,-1]]],[[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,
-2,4,2,3,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,
1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,
2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]]],[[[2,-2],[3,1,2,
1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,
1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,
2,-1,3,-2,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,
5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,
1,4,-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,-2,4,1,3,1,2,1,3,1,4,1,3,2,2,-2,1,
1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,2,1,1,1,2,-2,3,2]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,3,1,2,-2,1,1,2,1,4,
1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,
2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,
-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,-2],[3,
1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,
4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,
2,-2,6,1],[5,2,7,1,5,-1,7,-1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-2,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,-2,5,1,7,-2,5,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,4,1,5,-1,3,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,4,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[7,-1,5,1,7,1,5,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,-2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,
-1,5,2,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,
1,2,-2,6,1],[7,1,5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,
1,5,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,
4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,3,-1,4,1,2,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,5,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
-1,3,1,4,-1,2,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,
2,1,4,-1,5,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[2,
1,1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,
4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[
2,-2,3,1,2,1,3,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,1,
3,2,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,-2,
3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,3,1,4,-2,5,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,3,-1,2,-2,4,
-1]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,-1,3,-2],[4,1,5,-2,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,
-1,5,2,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,
-1,5,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-2,1,1,2,-1,3,2,2,
1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,
7,-1,5,-2,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[5,-3]],[[1,
1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,
5,-1,7,-2,5,1,7,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[
2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
-1,3,1,4,-1,2,-1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,2,1,4,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,1,2,1,3,2,4,1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[2,1,1,1],[3,
1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]],[[
1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[
2,1,1,1],[2,-2,3,2,2,1,4,-1,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,
2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,
1,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,
1,2,-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,4,-1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,
3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,2,-2,1,1,2,-1,4,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,
-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,2,4,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,
1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,-2],[4,1,3,-1,1,1,
2,-1,1,1,2,1,1,1,3,1,4,1]]],[[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,2,4,1,2,-2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,
2,1,1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,1,1,1,2,
-2,4,1]],[[1,1,2,1],[2,-2],[2,1,1,1,3,-1,2,-1,3,-1],[4,1,5,-2,4,1]],[[1,1,2,
1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,
3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,2,7,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,2,3,-1,4,1],[5,-3]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[
1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,-1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1]],[[1,
1,2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,
1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]],[[2,1,
1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,
2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,1,1,1],[2,1,3,
1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,-2,3,2,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-2,4,1,2,1,3,2,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,-2,3,-1,2,1,1,1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,
1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]]],[[[
2,-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1,1,1,2,1,1,
1],[3,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,-2,3,1,2,1,3,1,1,1,2,-1,3,2,
1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,1,3,2,2,1,1,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,-2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-2,3,1,4,-2,5,2,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
-2],[6,1,5,1,3,2,4,-1,6,1,3,1,1,1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,
1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,
5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,-2,1,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,3,1,4,-1,5,2,4,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,1,2,1,3,1,4,-1,5,1,4,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[
2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,
2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,
2]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[3,2,4,1,5,-2,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,
2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,
2,-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,2,-2,1,1,2,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
-2],[5,1,1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,
1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,-2,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-2,5,1,4,-1,3,-2]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,1,2,-1],[3,1,4,-1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,4,1,2,1,4,-1,3,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,-2],[5,1,4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2,5,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[2,1,
3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,
-2],[5,1,4,2,1,1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,
4,1,5,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,2,1,4,-1,3,-1,4,
1,5,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,
-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,
-1,5,1,3,2,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,
1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,
1,2,-1,3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
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1],[3,2,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,
2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1,1,1,2,
1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,
2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,1,1,2,-1,3,2,4,1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,4,
-1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[1,1,2,
-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,
2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-1,1,1,2,1,5,1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,
2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,3,1,4,-1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,
1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,
1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,5,
1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[2,-2,4,1,5,-1,3,-1,4,1,5,1,3,1,1,1,2,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,
3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,
5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,
-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,-2,3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,
1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[2,-2],[3,1,2,1,1,
1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,
-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,
1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1],[4,
1,5,2,1,1,2,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,
4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,
-1,3,-1,4,1]],[[1,1,2,1],[2,-2],[4,1,3,1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,2,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,
1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,-2,4,-1,3,1,4,1,2,-1]],[[1,1,
2,1],[1,1,2,-1],[3,1,2,1,3,1],[2,-2,4,1,5,2,1,1,2,-1,4,1]]],[[[1,1,2,1],[2,
-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,
2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,
1,5,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[2,-2,4,1,5,2,1,1,2,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[2,1,
1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,
4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[2,
1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,
3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]]],[[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,
1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,
1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2,4,1,2,1,4,-1,3,
1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,
2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,
1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,2,-2,1,1,2,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[1,1,2,1],[2,
-2],[2,1,1,1,2,-1,3,-2],[4,1,5,-2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,1,1,2,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,1,1,1,2,
-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,
2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,2,2,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,
1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,1,1,2,-1,3,-1,2,-1,3,-1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,2,1,1,1,2,1,3,2,4,1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,
1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,-2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,1,1,2,-1,
3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,
-1,7,1,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,
2,1,1,1,2,-2,6,1],[5,1,7,-1,5,2,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2],[8,1,7,-2,8,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,-2,
5,-1,7,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,
-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,
1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,
1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,
1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,1,1,2,-1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,
-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,1,1,1,2,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,4,1]]],[[[1,1,2,
1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,
1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,
1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,2,2,1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,
-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,
2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,3,-2,2,-1,4,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,1,1,2,-1,3,1,4,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,
1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[1,1,2,-1],[
3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,4,1,3,-2]]],[[[2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,
1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,1,4,2,5,-1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[
4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2,4,1,5,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,
4,-1,5,1,3,2,2,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,
1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,
1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,
-2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,
1],[2,-2,3,2,1,1,2,1,1,1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,
4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,2,1,3,2,4,1]]],[[[
1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,
1,1,4,2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,
1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,
1,1,1,2,1,1,1]]],[[[2,1,1,1],[2,-2,1,1,2,1,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[
4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1,1,1,2,1,1,
1],[3,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,
-2],[4,1,3,-1,1,1,2,-1,1,1,2,1,1,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,
-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,1,1,2,
-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,
3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,1,1,1,
2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,
1,1,4,1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,
-1,3,-1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,2,1,3,2,5,2,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,1,
5,-1,4,1,3,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,
1,4,-1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,
1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,
-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[
1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,3,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,
1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[2,-2],[3,1,1,1,2,-2,1,
1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,1,3,1,4,-1,3,1,1,1,4,1,2,-2]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,
-1,3,-2],[4,1,5,-2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,
4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1]]],[[[
1,1,2,-2,1,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,
-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,2,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,4,1,
2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,
5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,
1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,
2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,
3,-1,2,-1]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,-1,3,-2],[4,1,5,-2,4,1]],[[1,1,2,
1],[2,-2],[4,1,2,1,3,2,2,1,1,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,
2,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-1,3,-1,2,-1,3,-1,2,-2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1],[
4,1,1,1,2,-1,1,1,3,-2,2,-1,3,-1,4,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,
3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,
1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,3,1,4,-1,5,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,
-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-2,
1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,
4,-1,5,2,4,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,
2,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,2,-2,1,1,2,-1,4,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,1,1,3,-2,2,-1,3,-1,4,-1,2,-2]]],[[[1,
1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,-1,2,-2,4,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,1,1,2,-1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,2,
-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,-1,
3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,
2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,
2,1,4,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,
2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,
2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,
2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,
4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1],[1,1,
2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1,2,
-2]]],[[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,2,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,4,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
1,3,1,4,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[
2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,
1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,3,1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,
-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,
1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-2,4,-1,1,1,2,-1]]],[[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,
2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,
1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
2,4,-1,5,1,4,-1,3,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,
1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,3,2,4,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,
4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
3,1,2,1,4,-1,3,-1,4,1]]],[[[2,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[
2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,
2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,
1,5,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,
2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,
2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,
4,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,
-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
3,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[2,1,
1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,
3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,4,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,
4,-1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,
4,-1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,
-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,
2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,2,
3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,3,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,
1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,
2,-2]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,4,1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[
2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,
1,1,3,-2,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
1,2,1,4,-2,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,4,1,2,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[
2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,
1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[1,
1,2,-1,3,2,2,1,1,1,2,1,3,2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,
1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,
4,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,2,4,-1,5,1,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,
4,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[
3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,-1]],[[
1,1,2,1],[2,-2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[3,1,2,-1,
1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,4,2,1]],[[1,1,2,1],[3,1,
2,1,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,1,1,2,
-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-1,5,1,4,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,
2,1]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,
2,4,-1,5,1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,2]]],[[[1,1,2,1],[1,1,3,-1,
2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,
1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,1,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,1,2,1,3,1,4,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,-2,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,
3,-1,5,2,3,2,4,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]]],[[[2,-2],[3,1,2,1,
1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,1,4,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,4,2,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,2,-2,3,1]]],[[[
2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,
-1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-3,2,-2,4,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,4,2]]],[[[2,1,1,1],[
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,
2,1],[3,2],[4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,2,3,-1,2,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
2,-2,3,1,4,-1,3,2,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,2,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,2,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,
1,4,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,-2,
1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,-2,1,1,2,-1,1,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,3,3,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,-2,1,1,2,-2]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,
-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1]]],[[[1,1,2,-2,1,
1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,4,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,
1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
1,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,3,1,4,-1]]],[[[2,1,1,1],[2,-2,3,2,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,3,2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,
1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,
1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]],[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,
1],[1,1,2,-1,3,-3,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,1]]],[[[2,-2]],[[2,1,1,1,2,1]]],[[[2,1,
1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,-2,3,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2],[4,2,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,
4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,4,1,3,-2]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,3,-1]]],[[[1,1,2,1],[
2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,
6,1,2,1,1,1,2,-2,6,1],[7,1,5,-1,7,-2,5,1,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,
1,1,1,2,-2,6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[
1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,-1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,
3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,
5,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,2,1,4,-1,3,-1,4,1,5,1,1,1,2,-1,3,1,2,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[5,2],[8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,
6,1],[7,-1,5,1,7,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,
1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,2,7,-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,
-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,2,7,-1,5,1,7,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,1,5,
-1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,
2,-2,6,1],[5,1,7,1,5,2,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,2,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,1,5,2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,
1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,
2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,4,1,5,-1,3,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,-1,2,-2,5,1,3,2,4,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,
5,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,-1,2,-1,1,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,
1,2,1,3,1],[2,-2,4,1,5,2,1,1,2,-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[
1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,
1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,
4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,-2,4,-1,3,1,4,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,
-2,6,1],[5,2,7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-1,5,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,
-1,4,1],[5,-3]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,
-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
1,1,1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,-2],[4,1,3,1,1,1,2,-1,1,1,2,-2,3,-2,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,1,1,2,-1,3,2,4,1,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[
5,1,1,1,2,-1,4,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,
4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,
2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,
2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,
-1,2,-2]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,-2,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,
2,-1],[3,1,2,1,3,1],[2,-2,4,1,5,2,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,
1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[1,
1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,
6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,
-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,1,1,2,-1,1,1,3,-2,2,-1,3,-1,4,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,2,1,1,1,2,1,3,2,4,1,2,-2]]],[[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,
1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,1,1,2,-1,4,-1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,
1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,-1,3,
-2],[4,1,5,-2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,1,1,1,2,-2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-2,4,-2,3,-1,2,1,1,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,
2,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,2,1,4,-1,1,1,2,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,
1,5,1,3,1,4,1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,
3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,
2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,
-1,5,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1,3,2,2,1,1,1,2,-1,3,-1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,2,4,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1,4,1,5,-1,4,1,3,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]]],[[[2,
1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,2,1,1,2,
-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1],[4,1,2,-2,4,-1]],[[1,1,2,1],[2,-2],[
3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,
2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,
1,4,-1,3,-1,4,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
1,1,1],[2,-2,3,1,4,1,2,1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1,1,1,4,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,4,-1,3,-1,4,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[2,-2,4,1,5,-1,3,-1,5,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,
2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,5,-1,4,1,2,1,3,2,5,
-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,4,-1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,1,1,3,-1,2,1,4,-1,3,-1,4,1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,1,5,-1,4,1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,3,-2,4,1,2,1,3,2,5,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,1,1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,
1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,
3,1,4,-1,5,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,
3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,-2,
3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,
3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,
-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,
-2]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,
1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,1,3,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,
-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2],[2,-2,5,1,4,1,2,1,1,1,5,-1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,-1,1,1,2,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,
1,4,1,3,-1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,
1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,
1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[
2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,
5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
2,-2,3,2,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,-1,3,
2,4,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[
2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,
1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,-2,4,-1,3,1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[1,1,2,1],[2,
-2],[2,1,3,2,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,
-2,5,1,4,-2]]],[[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,3,2,4,1,2,-2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,
5,1,4,1,5,1]],[[1,1,2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1,4,-1,2,-2,4,1,3,1,2,1,3,
1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,
1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[2,
1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[
2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,
2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,
5,-1,1,1,2,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,
2,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,
2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[2,
1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,
1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,2,1,
3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1,2,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[3,1,2,
1,3,1],[2,1,1,1,4,1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-2,
4,-1,1,1,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,
2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,
1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,-2,3,1]],[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,
5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,2,4,1,5,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,
3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,1,3,2]],[[1,
1,2,1],[1,1,2,-1],[3,2,2,1],[4,1,5,2,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2],[5,1,4,1,2,1,1,1,5,-1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,-2,3,1]],[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,
5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,-2],[2,1,1,1,2,-1,3,-2],[4,1,5,-2,4,
1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,
1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,
2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,5,-2,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,
1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,
1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,-2,1,1,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,2,-2,3,2,2,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,
4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,-2,3,1]],[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,-2,2,-1,1,1,
2,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,
3,2,2,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,-1,1,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,
1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[3,2,
2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,
2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,4,-1,5,2,
3,1,6,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]]],[[[2,1,1,1],[2,-2,1,
1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-2,1,1,2,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[
1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,-2],[2,1,
1,1,3,-1,2,-1,3,-1],[4,1,5,-2,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,
1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,
4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,-2,4,1,2,1,3,4,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,
-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,
1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,
3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,4,-2,2,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,
3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,1],[
3,1,2,-1,1,1,2,-2,1,1,2,-1,3,-2,2,-1]]],[[[2,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,
1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,3,
-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,
3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[
2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,
-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,
-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,
-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,
4,1]]],[[[2,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,
1]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2,2,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,
4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,
1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[
2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,
1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,
1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,-1,1,
1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,
3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,5,1,4,-1,3,-2,5,-1]]],[[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[2,-2],[3,
1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,
4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,
1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,-2,2,1,3,
1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[
1,1,2,1],[1,1,2,-1,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[
4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[
4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,4,1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,
3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,-2,3,2,2,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,4,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,
3,1,4,1,3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,
-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,2,1,4,-1,3,1]]],[[[2,-2]],[[
2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,
-2,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1,2,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,4,-1,
1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]]],[[[1,1,2,-2,1,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,
-1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,-2,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,
1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,3,4,2,
1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,
5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,3,1]],[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,
4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1,3,2,4,2,
3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[
6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,
1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-1,3,2,4,1,2,-2]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1,1,1,2,-1,
4,2,3,-2,2,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,
-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,-2,3,-2,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,
1,1],[2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,
-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[
1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,
1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,
1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[2,-2],[3,
1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,
1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,3,1,4,-1,5,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,
1,3,1,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,
3,-1,2,-2,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,
2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,
4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,
4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,
4,-1,3,2,2,1,4,-1,2,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,
2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,
4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,
1,1,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,
1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,
1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,
1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,2,1,1,1,2,-2,3,2,2,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,
1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,
3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,1,4,-1,1,1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[2,-2,3,-1,4,
1,1,1,2,1,3,2,4,-1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,2,4,1]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,3,1,4,2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[
1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,
2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,
4,1,5,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,
2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,
2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,
2,-1,3,2,2,1]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,
5,2,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,1,5,-1,4,1,3,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,2,2,1,4,-1,5,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,
4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,
1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-1,1,1,2,1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,
2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[
2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,1,1,2,-1,3,2,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,4,4,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,2,-1,3,-2]]],[[[2,-2],[3,1,2,
1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,1,2,-1,3,1,2,
1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[
2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,
4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[2,1,1,1],[2,
-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,3,2,2,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,2,4,1,5,-2,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,
2,2,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,
3,2,2,1,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,
1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2,
2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,
1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,1,1,2,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,
-2,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-2,3,-1,2,1,1,1,4,2,3,-1]],[[2,1,1,
1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,
-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[
2,1,3,2,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,4,1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[1,1,2,-1],[
4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[2,-2],[
3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,
3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1]],[[1,1,2,1],[1,1,
2,-1,3,1,2,1,3,1,2,1,1,1,3,-1,2,-2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[2,1,1,1],[1,
1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,2,1,4,-1,5,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,
1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,
-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,
1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1,2,-2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,
-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-1,3,
-1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,
3,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,
3,-2,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,
-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[2,1,1,1],[
1,1,2,-1,1,1,2,1,3,-4,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,
-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,1,4,-1,5,1,6,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,
-1,1,1,2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]]],[[[1,1,2,1],[2,-1,
1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,
-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,
2,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,
1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,
2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,-1,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,2,5,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[2,-2,4,1,5,-1,3,-1,5,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,
4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,4,-2,3,2,2,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[3,2,2,1],[2,1,1,1,4,-1,2,1,1,1,2,-2,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,4,1,3,-1,2,-2]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[4,
1,3,-2,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,-2,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,2,2,1,3,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,
-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,-2,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,
1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,4,-1,3,-2]]],[[[2,1,1,
1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,2,3,-1]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,-2,3,1,4,-2,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,-2,3,-1,2,1,1,1,4,2,3,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,-1,1,1,2,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,
1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
2,4,1,5,-2,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[
4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,4,-1,3,-2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
-4,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,
1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,
-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,1,4,1,3,-1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,-2],[4,1,3,1,1,1,2,-1,1,1,2,-2,
3,-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,2,4,-1,5,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,
2,3,-1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
1,1,2,-1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,
2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,
1,1,2,-1,3,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,
4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,-2,1,1]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-4,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,
2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,
3,1,4,1,5,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,
3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,
2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,
1,4,-1,3,1]]],[[[2,-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,
1,4,-1,5,2,3,1,6,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,
1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,2,-1,4,-2,2,-1]]],[[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,
4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,
1,1]]],[[[2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,1],[2,-2,1,
1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-4,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,
1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,
3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,2,1,4,-1,
5,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,
2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,
1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,
-2,3,-2,2,1]],[[2,1,1,1],[1,1,2,-1],[2,-2],[5,1,4,2,1,1,2,1,3,2,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,2,3,-1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1],[2,-2,3,-1,4,2,3,
-1,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,1,1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,1,1,2,-2,
4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[2,-2,4,1,5,-1,3,-1,4,1,5,1,
3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,
1,4,-1,1,1,2,-1]]],[[[1,1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[2,1,
1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1,2,-2,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,1,
1,2,-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,
-1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,1,1,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,-1],[2,-2,3,-1,4,2,3,-1,1,1,2,-1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,
-2,5,2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,
1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[
1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,
1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,
5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,-1,2,-2,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,
1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,
1,3,-2,2,1,3,2]],[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,
2,1,1,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,-2],[
3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1]]],[[[1,1,2,1],[2,-2,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,
2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-3,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[
2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,
1,4,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,
1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,
2,1],[1,1,2,-1,1,1,2,-1,3,-4,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-1,
1,1,2,-1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,4,1,3,-1,2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,-1,3,2]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,4,1,
2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[
2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,
2,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[1,1,2,
-1],[2,-2,1,1,2,-1,4,2,3,1,2,1,3,1]]],[[[2,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,
-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,
4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,3,1]]],[[[1,1,2,1],[3,2,
2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[
3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1,3,2,2,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,
1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,2,
-2,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1]]],[[[2,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,3,-2,2,-1]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,1,
1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,4,1,3,-1,
4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,
3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,
1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[2,-2,1,1,2,
1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[
2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,1,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,4,
-2,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
1,2,-2,4,-1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[
2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,1,1,2,
-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,-2,
1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,
1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-1,
3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,
1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2,4,-1,5,1,3,1,1,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,
1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,
1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,1,1,
2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,-1,3,1,2,1,4,-1]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[
1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,
2,5,-1,2,-2,3,1,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,
1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,-1,3,1,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,
4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,
1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,2,1,3,1,4,1,3,2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,
-2,1,1,2,1,3,-3,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,
1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,
-1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,
1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,
2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,1],[2,1,3,
-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,
1],[2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-2,4,-1,1,1,2,
-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,
1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,
5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-1,4,2,3,-1,5,
-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,
4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,-1,2,-2]]],[[[2,-2],[3,1,1,1,2,-2,
1,1,3,1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,
1,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,
-1,5,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,
1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2],[
5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,2,1,4,-1,3,1]],[[1,1,
2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,2,1,1,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,2,-2,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[3,2],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,2,4,2,2,1,4,-1,3,
1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-2,2,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-1,1,1,3,-3,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,
4,1,3,2,2,1,5,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-1,1,1,2,-1,4,-1,1,1,3,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-2,2,-1,5,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,
2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,4,1,2,1,3,
2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,1,5,-1,2,-1,3,-2,4,
-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,-2,5,2,3,2,4,-1]]],[[[
1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,-1,
4,-1,3,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,
1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,
2,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,-2,4,-1,5,2,3,2,4,-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-2,3,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,1,1,3,-1,4,1,2,1,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,
2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]]],[[[2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[2,1,1,1],[3,1,2,-2,
1,1,2,-2,3,-1]]],[[[2,1,1,1],[2,-2,1,1,2,1,3,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,-2,3,1,2,1,
1,1,3,-1,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[
1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[
4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,2,2,
1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,3,-2,2,-1]]],[[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-1],[1,1,
2,1,1,1,3,1,4,-1,2,-2,3,-1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[1,1,
3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,
4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,
1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,2,1,1,1,4,1,3,-2]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,-2,
3,1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,-2,1,1,3,
-1,2,1,3,1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,3,2,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,3,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]]],[[[1,1,
2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,
4,2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,
3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,4,2,1,1,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,
1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,3,2],[2,1,1,1,4,2]],[[2,1,1,
1],[1,1,2,-1],[1,1,2,1,1,1,3,1,4,-1,2,1,3,2,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,
-1],[4,1,3,-1,4,1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,
3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]]],[[[2,-2],[3,
1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[1,1,2,-2,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,3,2,4,-1]]],[[[2,1,1,1,2,
-2,1,1,2,1]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,
1,2,1],[3,2,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,
-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,4,1,3,-1,4,1,2,-1]]],[[[1,
1,2,1],[2,1,3,4]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,
-2,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,
1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,4,1,3,-1,2,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,
1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[
1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-1,3,-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,
2,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,4,-1,
5,1]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,2,4,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,
1],[2,-1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,2,2,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]]],[[[2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,
4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,
2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-2,2,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,
-3,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,-2,5,2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[5,1,7,
1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,1,2,1],[2,1,6,1,2,1,
1,1,2,-2,6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1],[1,
1,2,1],[2,1,6,1,2,1,1,1,2,-2,6,1],[7,1,5,1,7,1,5,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1],[2,1,1,1,4,1,2,
1,1,1,2,-2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,-2],[2,1,1,1,3,-1,2,-1,3,-1],[4,1,5,-2,4,1]],[[1,1,2,1],[2,
1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,2,
-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,
1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,2,-2,4,-1,3,1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,1,4,-1,2,-2]]],[[[
1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,
-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[3,2],[1,1,2,-1,4,-1,2,-2,4,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,2,-1,1,1,3,-1,5,-1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,
3,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,
4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,2,4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[2,-2],[1,1,2,-2,1,1,3,1,1,1,
2,-1],[3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,4,1,2,1,3,2,5,1,2,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,
-2]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,
1,5,1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,
2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[2,-2,5,1,4,1,2,1,1,1,5,
-1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,
2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,
4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,-1,3,
-2,2,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,1,1,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,-1,2,-2,5,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,
1,4,-1,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-2,4,2,5,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,5,1,4,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[2,-2,3,1,1,1,2,
-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,
3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,5,1,3,1,4,1,2,1,4,-1,3,
1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,2,1,
4,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,
3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,1,3,1,4,2,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,2,2,1,4,-1,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,5,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,-2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,
-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,
1,4,1,2,-2,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,3,1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,
3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,
-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,
1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,
-1,4,-1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,3,2,4,1,5,1,4,1,2,1,4,-1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,
2,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,
1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,
-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,
2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,
4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,
2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[3,1,2,
1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,1,2,-1,1,1,3,1,4,-1,3,
1,2,-2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,
1,6,1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,3,2,2,1,4,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,1,2,1,3,1,4,-1,1,
1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,3,
-1,2,-2]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,
2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,-1,3,-2,
2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,2,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,
4,1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-2,3,-1,2,-2,4,-1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[
4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,4,-1,3,-2,2,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,2,1,4,-1,3,-1,4,1,2,-2]]],[[[2,-2],[3,1,
2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[
2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
1,4,-1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,
4,-1,5,2,3,1,6,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,-1,3,2,1,1,2,-1,3,2,2,1,1,1]],[[
1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[2,-2]],[[2,1,1,1],[2,1,
3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,
1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-2,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[
3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,
-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-1]],[[2,1,1,1],[2,1,3,1,
2,-1,1,1,2,1,1,1,3,1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,
1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,
-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,
2,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,
1]]],[[[2,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,
3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,1,1,2,-1,4,
1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,2,1,4,-1,5,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,2,1,3,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,
1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,1,3,-2,2,-1,4,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,1,2,-2,3,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,2,1,3,2,4,1]]],[[[2,-2],[3,1,1,1,
2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,
2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,
2]]],[[[2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,
-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,
4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,
3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,
3,1,4,1,3,2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]],[[1,
1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
1,2,1,1,1,4,1,3,-1,2,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,
2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[3,-2,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,
2,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,
2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,
1,1,1,4,1,2,-2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,
1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,
1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,
4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]]],[[[2,-2],[
3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[1,
1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,
1,2,-1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,
2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,1,3,1,4,-1]]],[[[
2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,
4,1,1,1,2,1,3,1,4,1,1,1,2,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[2,
1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,
1,1,2,-1,4,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,
2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,4,
1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,
1]]],[[[1,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,
-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,
1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,1,1,4,2,2,-2,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,
-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,
4,1,1,1,2,-1,3,-2]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,
3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[1,1,2,1],[
1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,
1,1,2,-1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,
6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,-2,
3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,
1,5,-2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,4,-1,5,2,
3,1,6,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,
1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,3,
1,4,-1,1,1,2,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,3,1,4,1,2,-1,3,
1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-1,3,2,2,
1,4,-1,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,
1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,
4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,
3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,
1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,
-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,
1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
3,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,2,
4,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,2]],[[2,1,1,1],[2,
1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,
1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-2,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,2,1,1,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,
-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,
2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,
-2,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,-4,2,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[2,-2],[3,1,2,
1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,-2],[3,1,1,1,2,-2,
1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1,2,-2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,
1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,
1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,
1,5,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,1,1,4,2,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,2,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[3,2,4,-1,1,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,
4,1,2,1,1,1]]],[[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,
1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,
2,-1]],[[1,1,2,1],[2,-2],[4,1,3,1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,-1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[2,-2,3,
-1,4,1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,1,4,-1,
5,1,6,1,4,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,2,1,4,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1],[2,1,
1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,
4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[1,1,
2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,-1,3,1,2,1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,
1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,
1],[3,2,2,1,3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,
-1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[
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1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-2,3,-3,2,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[2,1,3,1],[4,1,2,-1,1,
1,4,1,3,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1],[2,1,3,-1,1,
1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,
3,-2,2,-1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,-1,3,2,2,
1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,4,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,
-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,
-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,
2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,
-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1],[
4,2,3,3,2,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,1,1,2,-2,3,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-2,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,2,1,3,1,4,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,
2],[4,1,1,1,2,-1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,
1,4,-1,1,1,2,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,
1,2,1,3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,
2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,
3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,
3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[2,1,1,
1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[2,-2],[3,
1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,3,2,1,1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[2,1,
1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,1,1,4,1,3,
-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,2,2,1,4,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1],[2,-1,3,2,4,2,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,
-2,3,1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,
3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,1,2,-1,3,1,
2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,3,-2,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,
-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,2]],[[1,1,2,1],[1,1,2,
-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,
-2,3,1,4,2,3,2,2,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[
1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,4,-2]]],[[[1,1,2,1],[
3,-2,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,2,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,
1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,
3,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,1,1,2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]]],[[[2,-2],[3,1,2,
1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]],[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,4,1,3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,1,3,2,2,
1,1,1,3,1,2,-2,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,
3,1,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,4,-1,5,1,3,2,2,1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,
3,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,4,
-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[2,1,1,1],[1,
1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,
4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,2,1,
1,2,-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,
1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,2,2,-1,3,-2,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,
1,3,1,6,1,4,1,6,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,
2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,
-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-2,2,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1,2,-2,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[
1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[
1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,
1,4,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,-1,3,-2,2,-1,4,-1]]],[[[1,1,2,-1,1,
1,2,1,1,1,2,1,1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,
2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,
1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,2,4,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,
2,-1,1,1,2,1,3,2]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,
3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,
2,-1,3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,
3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,
5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,-1,5,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[
1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,
2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]]],[[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1,2,-2,1,
1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,
3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,
2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,
2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[
1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,2,
1,3,2,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,1,
1,2,-1,3,2,4,1]]],[[[2,1,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,
1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,
4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,
4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,
2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[
1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,
4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[3,1,2,1,
3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[
2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,
4,1,5,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,
2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,
1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,
4,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,
1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,
1,1,2,-2,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,
2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,-2,3,2,1,1,2,1,1,1,2,1,1,1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[
1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[2,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,
1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,1,1,2,-1,4,-2,3,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,
1,2,-2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[2,
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5,1,4,1,5,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,
1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,-1]],[[
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1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[2,
1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,
-1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,1,3,
-3,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[2,
-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[2,1,1,
1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,
1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]]],[[[2,1,1,1,2,-2,1,
1,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,
2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-1,3,-1]]],[[[2,-2],[3,1,2,1,1,
1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[
3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,-1,5,1,4,-1,1,
1,3,-1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,
-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,
-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,
1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[1,1,2,-1],[4,2,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,
4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,-1,
1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,1,1,1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,-1,
1,1,2,1,3,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[
1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,-1],[2,1,1,1,2,-2,3,3,1,1,2,1]],[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
-3,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[2,1,1,1],[
3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,
1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,
3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,
4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1,3,
-2,2,1,1,1,3,-1,2,-1,3,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[
2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,
3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,2,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,2,1,4,-2,5,2,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-2,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,2,4,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,
1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,2,4,1,2,1,1,1,2,1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,-2],[
3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,
2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,3,
-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,
2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,
1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,
1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,6,1,4,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,
1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,2,1,4,-1,3,-1,4,1,2,-2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,
1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-2,3,-1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,
2,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,
1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,
4,-1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,
3,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-2,3,1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,
-1,4,2,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,3,2,1,1,
2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[1,
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2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,2,4,1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,
1,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1,1,1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[3,1,2,
1,3,1,1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1,1,1,2,-1]],[[
1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,1,1,2,-1,4,-2,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,2,3,-1]]],[[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,-1,
1,1,2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,
2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,
1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,2,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
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1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,
1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,4,-2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,
2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,3,
-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,
1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,
1,1,1,2,1,3,2,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,
1,4,-1,3,-2]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[3,1,2,-1,1,1,2,-2,1,1,2,-1,3,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,
1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-1,1,1,3,-1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,
4,2,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[
1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,
1,1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,
1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,
1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,
3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,2,2,
1,3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,
1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-2,3,1,1,1,2,-1,3,
2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,-2,3,2,2,1]],[[2,
1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,-1,1,1,2,1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,
3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,1,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,
1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[1,
1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,
1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,
1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-3,3,1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,
3,1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,
1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[2,-2,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,-1,4,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,1,4,2]]],[[[1,1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[
1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,
4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,
1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,1,4,-1,3,-1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[
4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,2,2,1]]],[[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,2,
2,1,1,1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,
3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,
1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,
5,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,
1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,-2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,
3,4,2,1]],[[1,1,2,1],[3,2,2,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,4,2,1]],[[
1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,
4,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,
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1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,4,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[
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2,1,1,2,-1,4,2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
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1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,
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1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,
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1],[3,1,4,-2,3,2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,-2,3,1,
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1],[2,1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,
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1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[
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1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
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1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,2],[4,2,2,1,
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-2]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,
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1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,-1,3,2]],[[2,-2],[3,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,1,2,-1,
3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[1,1,3,
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1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[
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1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,
1,1,1,2,-1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,
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1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,
2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[2,
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1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,
2,1],[3,2],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,
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1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[2,1,1,1,2,-2,1,
1,2,-1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
2,-1,3,1,1,1]]],[[[2,1,1,1],[2,1,3,-2,1,1,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,3,4,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,2,1,4,
-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,
-1,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,-2],[3,1,2,1,
3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-2,4,1,2,1,3,2,5,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,
3,2,4,1,5,-1,2,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,
1,1,2,-1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,
1,3,-1,2,-2,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,
4,1]],[[1,1,2,1],[2,-2],[3,1,2,1,3,1,2,1,1,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[5,1,3,1,4,-1,1,1,2,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,-2],[2,1,3,2],[5,1,4,1,6,1,4,1,6,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
-1,1,1,2,-1,3,1,2,1,3,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[
2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,
5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,-2,3,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-2,2,-1,5,1,4,-1,3,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,
2,4,-1,1,1,2,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-2,
2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,
1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,-2,3,1,4,-1,5,2,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,-2,3,
-1]],[[1,1,2,1],[2,-1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,
1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,2,-1,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,2,-1,5,1,3,2,2,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,
-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,
1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,
-1,3,-1,2,-2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,
1,4,1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,1,1,2,1,1,1,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,-2,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[2,
-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]]],[[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]]],[[[1,
1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,
-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,
-1,5,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,1,1,1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,4,-2,
2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,-2,3,1,5,2,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,2,4,-3,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,3,-1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,
1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,2,3,-1,2,1,1,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,
1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,
-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,
4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,
-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,
4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[
1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[6,1,3,1,4,-1,5,2,3,1,6,1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,
-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[
1,1,2,-1],[3,1,2,1,3,1],[5,1,1,1,2,-1,4,2,5,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,
1,3,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,1,1,2,-1,4,-2]],[[2,1,1,1],[3,1,2,-1,1,1,2,-2,1,1,2,-1,3,-2,2,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,-2,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,-1,
3,-2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[
2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-1,1,1,2,-1,1,1]]],[[[2,1,1,1],[2,1,3,-1,
1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[2,-2]],[[2,1,1,1],[1,
1,2,-1,3,-2,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,1,4,-1,5,1,6,1,4,1]]],[[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,-1,2,1,1,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,
1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,
1,5,1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[
2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,
-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,1,
1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,
4,1,2,1,1,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,-2],[3,1,1,1,2,-2,1,1,
3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-1,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,
1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[
4,1,3,1,2,1,3,1,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,
1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,-2],[3,1,4,
1,1,1,2,1,3,1,4,1,1,1,2,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,-2],[3,
1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,2,1,3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,
1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,1,1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
-2,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,
5,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,2,2,1,3,2,
2,1,1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,-2,3,2,
2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,2,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,2]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[
1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,1,1,2,-1,4,-1,3,1,4,-1,2,
-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,1,3,
2]]],[[[1,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,2,2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[
1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,
4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,2,3,-1]]],[[[1,1,2,1],[3,2,2,1,3,
2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[2,1,3,
1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,
1,4,-1,3,1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1],[
2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-3,2,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,
1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[2,-2],[3,1,2,1,
1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]],[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,2,-2,1,1,2,-1,3,
-2,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,
3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,
4,-2,2,-1]]],[[[2,-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,
2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-1,4,1,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[
2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,
3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
2,4,2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,1,1,2,-1,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,
-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,-2,5,2,3,1]]],[[[1,1,2,1],[3,1,2,1,3,
1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,
2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,1,4,2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-1,3,1,4,2,2,1,1,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,
1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-2,3,1,2,1,3,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,2,4,1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,
-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[
4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,4]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,
4,-2,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[
1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1,2,-2]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
4,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2]]],[[[1,1,2,1],[3,1,1,1,
2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,
1,1,1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,
2,-2,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1]],[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,
1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,
1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,
1,2,1],[3,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,
2,-2,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,
1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,1,1,2,-1,4,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[
1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,
3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,1,1,2,-1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[
1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[1,
1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,
4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[1,1,2,-1],[4,2,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,1,2,
-1,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[
2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-2,3,-1,2,
-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-2,4,1,2,-1,3,-2]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,3,1],[
2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,2,3,1]]],[[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,
1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,
1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,
1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,
2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,2,-2,1,1,2,-1,3,-2,2,-1]]],[[[2,1,1,1,2,-2,1,
1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,1,2,1,1,1,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,2,1,
4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,
1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,-2,4,-1,1,1,2,-1,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-2,3,2,1,1,4,1,2,1,1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,
1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-2,3,1,4,1]]],[[[1,1]],[[2,1,
1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
1,4,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,
4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,2,1,1,4,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-2]],[[1,1,2,1],[
1,1,2,-1],[4,1,3,1,2,1,1,1,2,-1,4,2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,
3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,
1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,-1,5,1,4,-1,1,
1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,1,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,3,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,1,1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-2,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,
-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,
4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,3,2,1,1,
2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,1,1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,
-1,4,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,
3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2,1,1,2,
1,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,
-1,3,2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2,4,-1,1,
1,2,-1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,
1],[3,2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,
-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,2,1,4,-1]]],[[[1,1,2,
1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,
2,-2,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
1,2,1,4,-1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,
2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,
-1,4,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[
4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,-1,3,2,4,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]]],[[[2,-2]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,-2,3,1,2,1,1,
1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,1,1,1,4,1,5,-1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[2,-2,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,
5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,
1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,2]]],[[[2,1,1,1,2,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-3,2,
-1]]],[[[2,1,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[
2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-2,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[3,2],[4,2,2,1,1,1]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,2,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
1,1,3,-1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,3,-1]],[[2,1,1,1],[2,
-2,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,
1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[3,1,2,1,3,2,1,1,2,-1]],[[2,1,1,1],[2,-2,1,1,2,1,3,3]]],[[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,
2]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,-1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1],[3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,3,2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,1,1,3,-3,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,4,2,5,-1,4,1,2,1,3,2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,1,2,1,3,1,4,1,5,-1,2,-1,3,-2,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[
3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[3,2,2,-1,
1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[3,1,2,1,3,1,
2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,
-1,4,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
1]],[[2,1,1,1],[2,-2,1,1,2,1,3,3]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1],[3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
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3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,1,1,3,-2,2,-1,3,-1,4,-1]]],[[[1,1,2,
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1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[
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2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1,2,
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1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[2,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,
2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-2]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[2,1,1,1],[2,-2,1,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,
3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,
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3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,1,3,3]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,
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2]]],[[[2,-2]],[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[
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2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,1,3,3]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,
1]]],[[[2,1,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
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2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,
3,1],[4,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,
1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[2,-2,1,1,2,
1],[4,1,3,-1,4,-1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,1,1,4,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,
1,3,2,2,1,1,1,2,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
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2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
2]],[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-3,2,-2,4,-1]]],[[[
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1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,
1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[
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1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-2,2,-1]],[[2,1,1,1],[2,-2,
1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[1,
1,2,1,3,-1],[4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,
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1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,
1]],[[2,1,1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1]],[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-3,3,-1]],[[
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1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[
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1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-2,3,2,4,2]]],[[[1,1,2,1],[1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-3,2,-2,4,
-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,
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1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]],[[2,1,1,1],[2,1,3,2,2,-2,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,
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1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,3,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,
1],[2,-2,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,
2,1,1,1,2,1,1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
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3,2]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[4,1,5,-1,3,-1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,4,2,5,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[
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3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[2,1,1,
1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,
3,1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,2,4,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-1,3,1,4,1]],[[1,1,2,1],[
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-1,4,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,
3,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,-1,3,2,4,1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,
1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,-2,3,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-4,2,-1,1,1,2,-1]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,
1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,
4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,-1,3,2,4,1]]],[[[2,1,1,1],[
3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,1,3,1,4,1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,2,1,4,1]]],[[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,
5,2,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,
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1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
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1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,4,2,1,
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1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,
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-2]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,
3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,1,1,2,
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1,3,2]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
4,-3,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[2,1,1,1,2,
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2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,2,4,1]]],[[[2,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,
1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,
-1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,3,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[2,-2],[3,
1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[
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1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,
2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,
-2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,1,
1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,2,2,1,4,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[
1,1,2,-1,1,1,2,1,3,2]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[
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-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,
4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,
1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,
2,1,3,2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,
2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
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4,1,3,-1,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
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-1],[4,2,3,3,2,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,3,
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1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,
2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
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-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,
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2],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,
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2,1],[3,2,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,-1]]],[[[2,
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1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
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3,2,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[2,1,3,1],[4,1,2,-1,1,1,4,1,3,1]]],[[[
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1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,2,1,1,
2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,4,
2]]],[[[1,1,2,1],[2,1,3,3,2,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[2,
1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
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1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,2,2,1]]],[[[2,-2]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
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3,1]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1,2,-1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,
-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]],[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,-1,4,
-1,3,-1]]],[[[2,-2]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,2],[4,2,2,1,1,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,
1,1,1],[3,2,2,-1,1,1,2,1,1,1]]],[[[2,-2]],[[2,1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,
-2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,
1,1,3,-1,2,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,2]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,
2]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-2]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,
1,4,1]]],[[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,3,1,1,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,
1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1,2,-1]],[[2,1,
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1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1,2,-2,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[
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1,1,2,-1,3,-2,2,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,
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3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2],[1,1,2,-1,4,-1,5,-1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,1,1,2,-1,4,-1,3,-2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
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1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,3,2,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,2,3,-1]],[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1,3,
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2,1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,
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1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,
1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,
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2,2,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[2,1,1,1],[
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1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,-2]]],[[[1,1,2,1],[3,2],[4,2,2,1,1,1]],[[1,
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1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[2,1,1,1],[2,1,3,3,2,-1,1,1]]],[[[1,
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1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,1,1,1],[2,-2,1,
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4,1]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,
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1],[2,-2,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,
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1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1]]],[[[1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]]],[[[2,1,
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1],[2,1,1,1],[2,1,3,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
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1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1]],[[1,1,2,1],[2,1,
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1,3,-1,4,-1,3,-1]]],[[[1,1,2,-1],[3,1,1,1,2,-1,3,1,1,1,2,1]],[[2,-2],[3,1,1,1,
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2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,-1],[3,2,1,1,
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-1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,-3,2,1,1,1]]],[[[2,1,
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1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,
-1]]],[[[1,1,2,-2,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,4,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1],[3,1,4,-2]]],[[[1,1,2,1],[2,-1,1,1,3,-2]],[[1,
1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1]],[[1,1,2,1],[2,-1,
1,1,3,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,3,2,1]],[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,
2]],[[1,1,2,-1],[3,2,1,1,2,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[1,1,
2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1]],[[1,1,2,1],[2,-2,3,1,
2,1,1,1,2,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,
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-2]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,
1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,2]],[[1,1,
2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[
2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,1,2,-2,3,1,4,1]]],[[[2,1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,
3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[2,-2,1,1,2,1,3,3]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,2,1,3,2]]],[[[2,1,1,1],[3,2,2,-1,1,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,
1,2,-1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,
1]]],[[[2,1,1,1,2,-1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,1,1,2,1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[
3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,4,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1,2,1,3,2]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[3,1,1,1,
2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[1,1,2,1],[2,-1,1,1,3,
-2]]],[[[1,1,2,1],[2,-1,1,1,3,-2]],[[1,1,2,1],[2,1,3,3,1,1,2,-1]]],[[[2,1,1,1,
2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,
1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,-2],[3,
1,1,1,2,-2,1,1,3,1]]],[[[2,-2]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2]],[[1,1,2,1],[2,1,
3,2,1,1,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[3,2,2,-1,1,1]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1]]],[[[2,-1,1,1,2,1,1,1]],[[2,1,1,1],[1,1,2,1,3,
-2]]],[[[2,1,1,1,2,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]]],[[[1,1]],[[2,1,1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,
1]]],[[[2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,
-1,3,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1,2,-2,1,1,2,
1]]],[[[1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,1,3,2]]],[[[2,-1,1,1,2,1,1,1]],[[2,1,
1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,3,-2]]],[[[1,1,2,-2,
1,1,2,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1]]],[[[2,-2]],[[1,1,2,-1,1,1]]],[[[1,1,
2,-1]],[[1,1,2,1]]],[[[1,1]],[[2,1]]]]);
AFLT( "2^6:(L3(2)xS3)","M24",[1,2,2,3,3,2,3,5,4,5,9,6,10,6,12,15,10,10,7,9,12,
14,9,8,14,12,15,12,11,15,13,16,17,11,14,16,11,13,11,14,14,12,15,17,16,7,8,14,
13,13,17,12,7,19,21,23,22,24,20,21,24,23,22,25,26,27,29,28,26,34,35,36,31,46,
38,31,36,62,27,65,35,60,66,62,64,33,62,37,63,39,32,29,27,72,29,40,74,30,42,43,
60,29,63,36,35,65,66,47,67,38,67,49,49,28,38,48,64,39,67,49,31,46,46,36,27,37,
47,47,48,64,64,48,43,40,42,50,52,53,43,70,44,68,36,62,73,45,65,56,53,68,66,47,
64,67,44,33,67,74,47,74,55,49,49,61,44,53,54,57,68,41,43,48,57,57,37,37,37,48,
41,44,59,71,59,58,61,70,71,67,42,68,45,44,47,71,54,75,38,68,69,48,52,56,43,59,
58,50,50,58,52,30,56,45,58,69,59,53,59,55,71,49,51,51,51,77,83,84,82,87,87,87,
85,91,86,82,94,95,93,88,84,89,95,100,99,103,92,97,105,101,104,96,102,98,86,
100,99,103,97,106,108,111,114,115,126,110,117,139,109,138,111,143,111,133,132,
121,124,130,128,118,119,112,118,129,124,135,113,112,178,140,203,142,202,122,
196,191,121,192,156,127,136,155,154,156,211,196,171,130,123,202,215,168,147,
132,141,196,157,145,144,175,208,117,212,167,128,126,209,133,156,158,157,119,
202,167,114,159,170,167,198,213,174,157,113,222,116,140,179,149,149,161,129,
149,174,205,168,197,129,170,134,138,179,146,128,160,193,112,151,152,148,150,
113,121,136,185,137,147,175,158,122,175,203,148,127,185,217,154,208,199,210,
164,113,204,161,209,185,215,169,216,214,197,193,137,197,162,125,155,159,158,
180,162,216,148,160,175,161,191,204,198,154,154,135,131,179,137,212,180,128,
182,130,182,142,187,182,216,204,193,135,180,217,158,120,162,133,176,213,160,
217,171,125,188,213,223,225,153,200,219,221,218,223,223,164,123,214,183,194,
183,146,220,169,165,153,225,230,187,210,195,157,214,223,225,165,223,178,189,
225,200,227,120,121,203,113,225,122,212,199,182,146,172,159,153,156,158,134,
222,176,195,195,205,172,206,222,200,224,228,224,176,150,175,131,206,206,192,
160,160,224,167,231,183,142,185,186,163,225,229,220,151,226,224,225,224,161,
125,172,187,223,220,210,224,152,232,185,224,161,145,165,171,182,223,204,163,
165,184,218,190,229,206,166,183,233,161,183,190,193,186,177,195,235,165,166,
188,195,189,236,201,206,177,181,173,166,177,234,226,207,190,221,181,182,181,
122,173,181,166,184,241,239,238,247,249,248,254,253,260,258,252,279,257,271,
259,275,278,261,255,289,286,287,276,280,272,273,292,264,273,258,283,282,274,
263,266,281,262,271,277,273,278,290,256,262,268,302,288,293,301,283,257,297,
265,258,276,285,300,268,298,255,280,295,294,299,296,255,269,268,296,270,307,
306,311,371,308,327,335,336,327,338,307,337,327,309,320,378,322,395,380,318,
381,312,313,314,374,323,404,309,396,335,319,398,412,370,347,329,305,376,357,
313,420,381,306,330,432,433,352,329,395,312,342,414,351,414,414,355,429,435,
416,436,383,390,379,322,360,422,422,321,318,410,349,408,340,409,328,355,328,
417,372,329,356,415,430,387,339,409,434,320,355,382,328,341,386,351,348,351,
352,346,422,437,423,353,358,411,325,311,374,431,369,386,382,375,430,386,421,
380,430,382,378,314,352,409,442,306,441,379,318,482,424,483,425,443,407,426,
373,500,435,505,391,423,349,492,482,439,310,403,485,473,326,469,359,457,427,
331,413,427,475,416,357,331,477,381,389,504,350,466,338,340,485,315,432,484,
433,417,451,343,347,424,434,384,458,420,326,363,413,489,415,392,324,418,488,
474,341,412,384,319,316,390,399,400,334,334,490,396,332,399,454,419,468,354,
387,466,443,493,438,486,440,471,478,457,407,421,411,484,428,397,323,396,472,
399,459,500,367,506,450,429,483,402,467,450,402,460,391,447,319,384,468,497,
503,444,326,320,375,410,485,325,443,458,444,391,447,439,439,363,323,471,486,
393,467,370,460,425,484,464,460,314,318,411,413,376,494,343,445,452,446,450,
405,411,452,456,499,478,343,482,356,458,389,500,363,451,400,466,452,498,388,
321,501,428,333,472,362,362,461,367,360,359,471,337,334,424,457,477,315,427,
481,483,394,367,498,476,502,406,467,478,400,402,498,428,491,447,481,389,481,
468,425,358,362,401,359,444,353,472,331,315,486,330,477,451,385,407,462,368,
465,479,394,499,513,512,455,365,324,373,495,514,344,399,496,459,479,310,385,
401,495,495,317,317,476,479,487,496,400,316,344,493,448,515,330,462,377,501,
426,510,317,413,344,446,365,487,440,470,507,345,419,372,402,508,409,496,384,
462,350,490,474,453,480,489,350,491,412,487,488,361,511,384,480,402,494,493,
509,400,438,354,449,392,473,316,382,333,441,399,364,480,463,339,413,365,476,
490,441,344,368,344,366,331,343,516,520,521,519,520,523,527,528,533,532,532,
536,535,534,538,540,533,550,529,544,533,544,541,544,539,560,564,547,587,581,
583,559,565,580,556,561,546,537,545,548,552,554,579,567,569,585,549,582,571,
586,558,553,597,554,574,591,589,577,573,562,595,587,584,542,572,545,588,575,
555,561,562,589,596,578,598,600,557,570,568,562,589,593,566,560,563,601,555,
602,573,607,609,617,619,618,621,624,642,647,643,645,629,629,657,653,622,620,
658,674,684,668,661,644,630,650,663,640,677,641,672,631,675,701,683,676,678,
648,673,662,660,664,715,640,702,734,683,684,753,689,670,686,656,738,695,646,
765,755,646,637,655,701,625,770,636,674,694,694,665,642,680,636,623,625,634,
628,633,630,667,747,735,750,747,633,675,740,681,652,627,685,654,757,668,743,
761,625,737,697,698,756,743,682,741,753,636,631,665,697,669,664,646,739,753,
699,663,673,748,748,695,743,758,690,735,695,660,752,759,686,735,666,650,671,
686,754,745,624,736,694,645,696,692,748,644,676,665,662,751,697,768,669,747,
669,687,690,696,744,744,679,659,744,696,638,764,742,689,690,633,766,689,626,
691,635,688,800,778,719,626,711,784,736,726,731,714,727,727,769,746,705,723,
797,711,714,792,705,712,718,712,751,754,738,802,795,817,714,779,721,723,720,
823,716,638,768,761,785,794,732,786,750,764,795,709,716,804,824,726,712,709,
760,796,760,822,796,710,781,670,727,706,731,791,820,786,700,813,799,785,666,
722,769,707,720,771,785,807,805,692,734,788,814,713,786,789,774,806,730,782,
721,797,716,731,737,693,760,797,796,711,667,816,637,656,772,704,725,649,815,
798,717,722,798,635,759,787,801,723,767,762,809,810,795,703,780,819,810,721,
811,776,720,722,725,773,687,680,783,734,821,651,811,749,704,707,707,725,810,
769,709,726,812,790,798,777,812,681,705,682,811,793,729,812,632,644,704,733,
728,775,688,708,639,724,825,762,646,826,818,728,758,802,625,763,801,706,803,
803,808,763,803,763,831,833,837,838,829,830,834,832,839,839,848,846,849,863,
861,860,851,865,867,868,883,877,879,846,851,855,878,879,861,847,876,847,879,
874,881,847,862,860,873,902,853,898,866,890,870,908,901,905,871,909,907,906,
869,856,884,891,855,903,888,897,892,872,899,911,858,857,904,886,885,893,887,
874,896,895,914,892,889,915,847,894,895,895,920,931,933,932,938,939,937,935,
951,937,947,988,987,984,981,980,973,940,961,972,965,979,955,960,967,966,934,
969,956,970,945,986,985,936,968,982,983,941,964,963,944,1007,1007,993,998,995,
1017,971,1013,1006,1000,991,994,996,997,1030,978,1022,985,962,964,949,996,983,
961,1027,1010,942,944,996,1000,975,975,981,1025,977,1018,959,959,999,990,994,
1009,950,1015,1021,935,976,1031,1019,966,1016,954,1031,1010,990,954,1007,1014,
1020,986,952,1003,1026,960,959,994,1000,999,990,943,999,989,974,980,1018,977,
1011,953,995,995,976,1005,1002,958,976,946,1008,1024,948,972,1018,943,992,987,
944,979,977,1028,1023,954,1010,941,973,975,943,1012,1031,957,1041,1042,1032,
946,1041,1004,1048,1046,989,1043,1033,1046,1040,1047,992,1001,942,1049,1051,
1039,1035,1044,950,1038,1046,1036,1029,1050,1041,1045,1037,1034,1055,1054,
1056,1054,1059,1060,1058,1066,1070,1068,1072,1076,1075,1078,1080,1081,1081,
1089,1090,1084,1082,1122,1105,1107,1109,1113,1115,1104,1091,1099,1093,1119,
1092,1123,1117,1097,1126,1129,1101,1125,1110,1121,1102,1131,1128,1100,1112,
1097,1132,1137,1132,1136,1088,1085,1134,1138,1133,1155,1138,1138,1153,1145,
1135,1119,1098,1132,1101,1142,1151,1100,1120,1143,1149,1150,1091,1147,1148,
1159,1160,1157,1158,1175,1174,1177,1173,1176,1202,1203,1204,1191,1184,1181,
1205,1199,1185,1187,1207,1180,1183,1196,1195,1182,1192,1188,1178,1186,1197,
1189,1193,1201,1198,1190,1179,1194,1200,1206,1216,1196,1215,1212,1178,1210,
1210,1218,1219,1193,1213,1217,1204,1211,1210,1208,1208,1209,1214,1190,1208,
1180,1232,1221,1222,1228,1227,1231,1223,1221,1240,1243,1242,1249,1251,1250,
1253,1254,1252,1256,1257,1258,1251,1254,1299,1297,1292,1286,1272,1295,1287,
1266,1268,1288,1270,1262,1301,1282,1264,1291,1267,1274,1276,1263,1261,1277,
1281,1294,1278,1290,1285,1278,1279,1314,1310,1308,1307,1304,1312,1294,1305,
1309,1316,1321,1323,1322,1325,1329,1336,1332,1330,1331,1333,1324,1326,1328,
1327,1335,1334,1337,1339,1341,1344,1347,1362,1360,1363,1359,1366,1365,1367,
1370,1375,1369,1361,1374,1368,1371,1376,1372,1373,1369,1377,1374,1380,1382,
1383,1384,1386,1387,1395,1396,1405,1403,1406,1398,1399,1401,1409,1413,1414,
1415,1418,1417,1422,1421,1424,1425,1439,1431,1432,1436,1426,1429,1440,1430,
1427,1435,1437,1434,1438,1442,1441,1451,1452,1455,1456,1458,1462,1461,1459,
1471,1470,1469,1480,1485,1486,1482,1489,1484,1488,1500,1503,1501,1504,1511,
1515,1519] );
AFLT( "2^6:(L3(2)xS3)","L5(2)",[1,2,2,3,2,3,3,4,4,5,7,8,6,6,10,16,6,8,7,10,7,
12,9,13,10,12,16,10,11,16,15,17,16,14,9,17,11,15,9,11,12,11,18,17,18,14,15,15,
13,12,18,14,11,20,20,23,21,23,21,21,24,23,22,25,27,26,29,31,27,35,32,41,36,49,
26,37,41,67,36,66,32,68,64,67,72,28,67,39,73,42,38,28,30,78,40,43,79,33,45,44,
66,41,73,29,41,68,72,52,65,36,72,52,50,42,37,51,64,31,72,52,39,51,51,32,37,36,
50,50,49,65,65,49,34,45,43,49,55,58,47,69,47,66,40,67,77,48,70,53,58,72,65,52,
70,64,44,40,65,79,50,79,54,50,52,74,44,56,57,56,70,46,47,51,56,58,30,30,39,51,
44,46,53,76,59,62,74,71,76,71,45,71,48,47,59,76,57,80,38,69,75,60,55,59,47,50,
62,55,60,62,60,48,53,33,63,76,54,63,61,61,75,61,62,58,63,81,83,83,85,90,87,86,
89,91,84,84,93,94,93,92,88,89,95,99,98,96,94,100,102,100,102,98,96,99,85,100,
101,97,99,103,106,115,105,109,122,111,113,149,107,148,115,137,107,124,131,118,
125,133,123,112,116,114,114,123,126,123,114,112,189,147,159,151,167,120,152,
165,118,163,185,129,127,190,200,185,158,152,199,133,121,167,168,191,138,131,
150,152,202,140,136,206,160,113,170,207,125,122,153,124,185,205,202,116,167,
207,111,201,208,207,166,171,186,202,108,224,110,147,213,142,142,200,128,142,
186,155,191,154,127,208,130,151,213,141,128,200,171,119,145,144,139,143,119,
119,128,209,134,138,199,204,120,216,156,139,129,205,172,204,160,174,173,194,
118,153,204,156,200,168,192,169,164,154,176,134,154,190,135,193,193,203,214,
193,169,139,203,216,205,165,159,166,209,203,125,132,213,134,176,214,126,206,
124,216,148,211,206,169,156,170,126,214,172,209,117,201,133,210,176,205,172,
206,130,219,177,227,225,146,182,183,161,178,227,229,210,117,157,205,180,211,
144,175,211,189,143,225,234,195,177,157,202,174,229,224,217,227,217,197,225,
170,231,121,108,157,120,225,108,182,164,199,146,210,220,141,207,195,135,225,
220,159,164,175,201,171,225,173,227,228,229,194,146,217,135,177,173,175,209,
204,229,185,232,195,151,204,221,187,225,226,163,140,230,227,224,229,209,132,
220,192,229,155,182,227,141,233,203,227,203,145,206,216,216,229,179,221,196,
188,162,223,230,178,198,197,237,218,218,215,162,187,198,161,236,219,212,196,
179,218,235,184,162,198,223,222,212,212,238,226,181,215,179,223,196,215,119,
223,222,188,212,241,241,239,243,245,244,247,247,250,246,248,265,249,264,249,
264,263,252,246,280,280,279,272,271,270,276,283,254,275,248,267,268,269,251,
255,266,253,273,271,274,263,282,254,258,260,288,279,284,288,272,256,289,259,
258,267,277,287,261,289,253,278,285,285,287,284,258,262,257,286,259,311,310,
292,358,313,324,318,314,324,323,311,325,324,301,300,362,295,384,367,293,366,
294,296,302,371,293,395,303,387,318,293,386,428,360,341,330,312,368,319,296,
407,364,310,346,422,421,327,330,384,294,316,409,337,409,409,331,423,397,406,
400,378,376,363,295,342,410,410,304,301,426,329,425,328,424,332,331,332,405,
359,330,347,411,420,372,345,424,398,300,331,366,332,333,373,337,315,337,327,
326,410,399,412,338,320,427,306,292,371,419,357,373,364,369,420,373,404,367,
420,362,364,302,327,424,431,312,430,365,307,480,405,478,413,440,394,416,361,
460,397,467,377,412,336,477,480,402,298,390,471,486,309,446,321,440,414,346,
429,404,485,415,319,343,490,365,374,465,350,434,336,339,471,297,423,470,421,
415,439,329,348,406,398,366,448,414,309,341,427,474,411,370,305,417,473,487,
339,427,365,307,308,376,391,387,334,334,476,389,317,392,454,408,442,349,369,
439,432,475,401,469,403,488,491,432,394,414,429,470,418,388,301,389,492,392,
445,460,351,468,447,422,478,392,449,443,391,441,377,441,306,363,447,461,466,
444,309,302,372,426,471,307,441,448,444,377,440,402,402,348,303,488,469,382,
443,360,433,413,470,456,432,300,303,428,427,368,481,323,436,442,450,449,396,
429,449,435,462,491,336,480,347,444,374,460,325,434,387,439,447,463,379,304,
464,418,335,492,328,333,451,351,343,321,488,348,334,415,433,490,297,407,479,
478,380,351,463,489,495,393,442,491,389,391,463,418,472,433,479,374,479,443,
413,320,339,385,321,448,338,492,342,297,469,343,490,434,375,394,445,322,455,
489,381,464,496,497,457,340,308,359,474,499,344,391,483,459,493,299,370,388,
484,475,308,299,493,487,476,473,389,305,350,483,453,498,344,459,383,462,408,
503,298,428,346,459,335,482,401,437,502,356,416,361,392,500,424,475,380,450,
344,482,493,458,486,484,349,482,429,472,483,352,504,381,494,391,476,484,501,
389,403,350,438,375,494,299,381,340,430,392,354,489,452,340,429,345,494,481,
430,322,353,353,355,353,352,505,506,507,507,508,509,512,513,516,517,519,515,
521,518,522,522,516,535,520,525,520,529,527,524,530,543,539,533,565,561,565,
542,546,562,549,542,532,523,533,534,544,541,562,547,546,564,531,563,547,566,
537,556,578,543,540,568,572,557,552,558,575,569,571,528,557,526,567,538,551,
554,553,573,576,545,579,582,550,548,560,555,570,580,548,541,559,583,552,583,
551,584,586,593,594,595,596,614,610,600,608,601,613,613,635,633,597,598,629,
672,648,642,637,612,615,602,638,609,650,611,676,617,675,677,649,674,651,605,
673,639,636,641,678,609,704,710,661,661,744,664,640,662,632,734,649,602,725,
729,601,623,631,677,617,721,619,672,655,656,643,612,653,619,599,614,624,625,
622,615,646,712,732,745,718,622,675,715,667,606,626,669,634,735,642,717,736,
618,730,654,659,728,712,657,713,744,619,618,643,663,638,641,603,733,744,658,
647,674,717,718,661,711,738,654,732,648,636,743,737,664,732,645,603,644,655,
746,714,618,731,662,603,655,666,711,610,673,643,647,742,654,723,639,717,647,
652,663,656,718,712,668,630,711,664,616,722,716,656,663,622,726,662,620,670,
621,665,747,769,698,616,689,763,731,681,687,682,688,683,724,720,706,689,752,
692,682,757,706,683,700,683,746,742,730,750,754,766,686,780,686,692,690,782,
685,620,723,736,761,756,697,760,745,722,754,707,685,786,781,684,688,709,739,
751,739,784,751,693,774,646,688,702,687,758,767,760,660,800,748,761,645,681,
724,707,691,777,761,785,787,665,710,796,799,694,760,797,771,788,695,778,686,
752,687,685,734,671,739,752,751,692,640,765,623,632,770,708,690,607,798,753,
701,684,753,621,737,794,749,689,727,740,793,791,754,703,773,764,790,682,790,
772,691,681,691,776,652,657,762,710,783,604,790,719,706,707,709,690,791,724,
709,684,792,795,753,779,792,667,708,653,791,759,696,792,628,612,708,699,680,
775,666,705,627,679,802,741,604,801,768,693,741,755,628,738,755,703,755,750,
789,741,749,740,803,806,808,808,804,804,805,806,807,809,814,813,817,830,825,
826,815,829,832,832,838,842,840,816,816,818,843,840,828,816,841,815,840,845,
846,813,827,826,837,864,823,850,833,855,835,867,865,868,836,871,868,866,836,
822,847,854,824,863,852,853,853,834,851,869,819,821,863,848,848,852,849,845,
856,859,874,860,858,873,823,857,861,862,877,882,883,887,889,892,888,884,902,
888,898,938,933,937,906,908,915,891,927,914,919,907,926,928,921,922,885,910,
925,909,893,934,935,886,923,939,936,890,924,920,896,947,945,967,948,953,962,
912,960,943,955,968,969,954,951,940,911,975,935,932,922,900,953,933,930,970,
945,894,896,952,953,916,916,906,971,917,963,927,928,952,966,966,942,901,961,
977,886,918,941,982,924,958,905,941,947,969,905,945,959,981,934,905,949,973,
930,930,966,954,954,969,897,955,964,913,907,963,916,979,903,952,955,915,946,
950,931,914,895,944,976,899,918,963,896,965,936,897,908,917,972,978,904,947,
891,918,917,897,980,941,929,993,986,991,895,993,957,1001,992,964,983,988,992,
997,998,965,956,894,999,1002,994,989,984,901,995,992,987,974,1000,993,985,996,
990,1003,1005,1006,1007,1009,1008,1008,1013,1017,1014,1018,1021,1022,1023,
1025,1026,1028,1031,1032,1035,1027,1064,1052,1045,1054,1061,1071,1073,1040,
1042,1037,1047,1039,1065,1072,1038,1068,1070,1057,1062,1055,1048,1058,1059,
1063,1041,1056,1043,1079,1081,1079,1076,1030,1036,1078,1075,1074,1085,1079,
1075,1092,1089,1077,1049,1044,1075,1057,1094,1083,1040,1050,1090,1095,1096,
1041,1087,1088,1098,1098,1099,1097,1104,1103,1105,1102,1106,1127,1111,1120,
1114,1110,1124,1136,1133,1109,1129,1131,1123,1107,1112,1117,1108,1113,1121,
1122,1128,1130,1118,1116,1126,1132,1119,1125,1115,1134,1135,1148,1116,1141,
1143,1123,1139,1140,1146,1145,1112,1142,1147,1120,1138,1139,1139,1140,1137,
1144,1119,1140,1122,1159,1151,1150,1154,1155,1159,1153,1152,1163,1165,1166,
1172,1173,1175,1176,1177,1174,1178,1179,1181,1174,1177,1183,1184,1188,1186,
1192,1198,1201,1206,1196,1202,1190,1193,1208,1211,1213,1187,1207,1214,1200,
1212,1194,1215,1210,1197,1216,1204,1185,1218,1217,1231,1219,1224,1223,1227,
1221,1197,1228,1226,1232,1236,1237,1238,1239,1250,1249,1241,1251,1242,1248,
1240,1244,1246,1243,1245,1247,1252,1253,1255,1260,1262,1267,1271,1266,1269,
1272,1273,1281,1280,1284,1275,1270,1276,1282,1278,1283,1277,1279,1276,1286,
1275,1287,1292,1291,1293,1290,1295,1303,1304,1305,1308,1306,1310,1309,1307,
1313,1315,1318,1319,1324,1323,1326,1325,1328,1330,1340,1333,1334,1335,1329,
1337,1339,1338,1332,1336,1343,1341,1344,1347,1345,1354,1352,1356,1355,1359,
1367,1364,1361,1373,1374,1371,1376,1377,1378,1384,1385,1379,1381,1390,1394,
1392,1395,1402,1403,1408] );
AFLT( "2^6:(L3(2)xS3)","L5(2)",[1,2,2,3,2,3,3,4,4,5,6,8,7,7,10,16,7,8,6,10,6,
12,13,9,10,12,16,10,15,16,11,17,16,14,13,17,15,11,13,15,12,15,18,17,18,14,11,
11,9,12,18,14,15,20,20,23,21,23,21,21,24,23,22,25,26,27,29,28,26,34,36,41,32,
49,27,37,41,72,32,73,36,68,64,72,67,31,72,42,66,39,46,31,33,77,43,40,79,30,44,
45,73,41,66,29,41,68,67,52,65,32,67,52,51,39,37,50,64,28,67,52,42,50,50,36,37,
32,51,51,49,65,65,49,35,44,40,49,58,55,48,74,48,73,43,72,78,47,70,56,55,67,65,
52,70,64,45,43,65,79,51,79,57,51,52,69,45,53,54,53,70,38,48,50,53,55,33,33,42,
50,45,38,56,76,59,62,69,75,76,75,44,75,47,48,59,76,54,80,46,74,71,60,58,59,48,
51,62,58,60,62,60,47,56,30,61,76,57,61,63,63,71,63,62,55,61,81,84,84,90,85,87,
89,86,91,83,83,94,93,94,88,92,86,95,98,99,96,93,100,102,100,102,99,96,98,90,
100,101,97,98,103,105,115,106,107,123,112,114,150,109,147,115,136,109,125,131,
116,124,133,122,111,118,113,113,122,126,122,113,111,186,148,167,151,159,121,
153,170,116,168,206,127,129,191,202,206,160,153,199,133,120,159,163,190,140,
131,149,153,200,138,137,185,158,114,165,205,124,123,152,125,206,207,200,118,
159,205,112,208,201,205,171,166,189,200,110,224,108,148,211,143,143,202,130,
143,189,154,190,155,129,201,128,151,211,139,130,202,166,117,145,144,141,142,
117,117,130,216,135,140,199,204,121,209,156,141,127,207,173,204,158,176,172,
194,116,152,204,156,202,163,193,164,169,155,174,135,155,191,134,192,192,203,
210,192,164,141,203,209,207,170,167,171,216,203,124,132,211,135,174,210,126,
185,125,209,147,213,185,164,156,165,126,210,173,216,119,208,133,214,174,207,
173,185,128,221,175,227,229,146,182,178,180,183,227,225,214,119,157,207,161,
213,144,177,213,186,142,229,232,195,175,157,200,176,225,224,220,227,220,187,
229,165,226,120,110,157,121,229,110,182,169,199,146,214,217,139,205,195,134,
229,217,167,169,177,208,166,229,172,227,230,225,194,146,220,134,175,172,177,
216,204,225,206,234,195,151,204,219,197,229,231,168,138,228,227,224,225,216,
132,217,193,225,154,182,227,139,233,203,227,203,145,185,209,209,225,184,219,
188,196,181,223,228,183,198,187,237,222,222,212,181,197,198,180,235,221,215,
188,184,222,236,179,181,198,223,218,215,215,238,231,162,212,184,223,188,212,
117,223,218,196,215,241,241,239,243,245,244,246,246,250,247,249,265,248,263,
248,263,264,252,247,279,279,280,276,267,275,272,283,253,270,249,271,266,273,
255,251,268,254,269,267,274,264,281,253,260,258,288,280,285,288,276,262,289,
261,260,271,278,287,259,289,254,277,284,284,287,285,260,256,257,286,261,310,
311,293,357,312,323,314,318,323,324,310,326,323,300,301,367,294,384,362,292,
371,295,296,302,366,292,393,303,387,314,292,385,428,359,338,329,313,363,316,
296,411,369,311,327,420,419,346,329,384,295,319,405,342,405,405,328,423,399,
410,398,376,378,368,294,337,406,406,306,300,425,330,426,331,427,333,328,333,
409,360,329,345,407,422,373,347,427,400,301,328,371,333,332,372,342,320,342,
346,325,406,397,404,341,315,424,304,293,366,421,358,372,369,364,422,372,412,
362,422,367,369,302,346,427,431,313,430,370,305,475,409,477,408,439,396,414,
361,461,399,468,379,404,336,478,475,401,297,388,474,490,308,445,317,439,416,
327,429,412,488,415,316,339,486,370,375,466,351,442,336,343,474,298,423,473,
419,415,440,330,349,410,400,371,447,416,308,338,424,471,407,365,307,418,470,
491,343,424,370,305,309,378,389,387,335,335,479,391,321,392,436,413,434,348,
364,440,444,480,402,472,403,485,487,444,396,416,429,473,417,390,300,391,489,
392,446,461,350,467,448,420,477,392,449,433,389,441,379,441,304,368,448,460,
465,432,308,302,373,425,474,305,441,447,432,379,439,401,401,349,303,485,472,
380,433,359,443,408,473,451,444,301,303,428,424,363,481,324,454,434,435,449,
394,429,449,450,463,487,336,475,345,432,375,461,326,442,387,440,448,462,377,
306,464,417,334,489,331,332,456,350,339,317,485,349,335,415,443,486,298,411,
476,477,382,350,462,492,495,395,434,487,391,389,462,417,469,443,476,375,476,
433,408,315,343,386,317,447,341,489,337,298,472,339,486,442,374,396,446,356,
438,492,383,464,497,496,452,344,309,360,471,498,340,389,482,437,493,299,365,
390,484,480,309,299,493,491,479,470,391,307,351,482,458,499,340,437,381,463,
413,502,297,428,327,437,334,483,402,459,503,322,414,361,392,501,427,480,382,
435,340,483,493,453,490,484,348,483,429,469,482,354,504,383,494,389,479,484,
500,391,403,351,455,374,494,299,383,344,430,392,352,492,457,344,429,347,494,
481,430,356,355,355,353,355,354,505,507,506,506,508,509,512,513,517,516,518,
514,520,519,523,523,517,536,521,527,521,530,525,524,529,542,544,532,564,562,
564,543,541,561,549,543,533,522,532,531,539,546,561,537,541,565,534,563,537,
566,547,550,579,542,545,569,571,551,558,552,574,568,572,526,551,528,570,548,
557,559,553,573,577,540,578,582,556,538,555,560,567,581,538,546,554,583,558,
583,557,585,587,593,595,594,598,613,609,601,611,600,614,614,635,631,599,596,
630,676,651,638,636,612,617,605,642,610,649,608,672,615,673,677,650,674,648,
602,675,641,637,639,680,610,702,710,668,668,742,667,643,665,634,734,650,605,
722,728,600,626,633,677,615,721,620,676,653,652,640,612,655,620,597,613,622,
621,624,617,647,714,730,743,715,624,673,718,664,603,623,659,632,737,638,716,
738,616,732,657,669,729,714,654,711,742,620,616,640,666,642,639,606,731,742,
670,646,674,716,715,668,713,736,657,730,651,637,745,735,667,730,644,606,645,
653,746,712,616,733,665,606,653,663,713,609,675,640,646,744,657,726,641,716,
646,656,666,652,715,714,661,629,713,667,618,725,717,652,666,624,723,665,619,
658,625,662,753,770,694,618,689,760,733,683,690,682,691,681,727,719,706,689,
749,686,682,756,706,681,695,681,746,744,732,751,748,764,692,777,692,686,687,
783,684,619,726,738,762,757,693,763,743,725,748,707,684,785,784,685,691,708,
740,750,740,781,750,697,771,647,691,704,690,759,765,763,671,799,754,762,644,
683,727,707,688,780,762,786,788,662,710,795,800,698,763,794,774,787,700,779,
692,749,690,684,734,660,740,749,750,686,643,767,626,634,769,709,687,604,798,
747,679,685,747,625,735,797,752,689,724,739,793,791,748,705,775,766,792,682,
792,776,688,683,688,772,656,654,761,710,782,607,792,720,706,707,708,687,791,
727,708,685,790,796,747,778,790,664,709,655,791,758,699,790,627,612,709,696,
678,773,663,703,628,701,802,741,607,801,768,697,741,755,627,736,755,705,755,
751,789,741,752,739,804,805,807,807,803,803,806,805,808,809,813,814,815,831,
826,825,817,829,833,833,839,844,841,818,818,816,845,841,827,818,840,817,841,
843,846,814,828,825,835,863,821,852,832,854,837,867,865,866,834,872,866,868,
834,824,847,855,822,864,850,851,851,836,853,870,820,823,864,849,849,850,848,
843,860,858,875,856,859,873,821,861,857,862,876,882,884,887,888,890,889,883,
904,889,900,938,933,935,907,908,910,893,926,909,921,906,927,925,919,920,886,
915,928,914,891,936,937,885,924,939,934,892,923,922,894,944,943,968,954,950,
963,917,959,945,949,967,964,948,952,941,916,977,937,931,920,898,950,933,929,
971,943,896,894,951,950,911,911,907,970,912,962,926,925,951,965,965,946,899,
958,975,885,913,940,981,923,961,903,940,944,964,903,943,960,982,936,903,955,
972,929,929,965,948,948,964,895,949,969,918,906,962,911,980,905,951,949,910,
942,953,932,909,897,947,978,901,913,962,894,966,934,895,908,912,973,976,902,
944,893,913,912,895,979,940,930,993,984,988,897,993,956,1000,992,969,985,991,
992,995,999,966,957,896,998,1002,996,990,986,899,997,992,987,974,1001,993,983,
994,989,1004,1005,1007,1006,1008,1009,1009,1013,1016,1015,1019,1022,1021,1024,
1026,1025,1027,1029,1030,1033,1028,1067,1051,1046,1053,1060,1072,1073,1038,
1039,1041,1048,1042,1066,1071,1040,1062,1069,1058,1068,1056,1047,1057,1059,
1063,1037,1055,1044,1076,1078,1076,1079,1032,1034,1081,1074,1075,1084,1076,
1074,1093,1087,1080,1050,1043,1074,1058,1094,1082,1038,1049,1091,1095,1096,
1037,1089,1086,1097,1097,1099,1098,1104,1102,1106,1103,1105,1126,1111,1120,
1112,1107,1122,1135,1133,1108,1128,1131,1125,1110,1114,1113,1109,1117,1121,
1124,1129,1130,1119,1115,1127,1134,1118,1123,1116,1132,1136,1147,1115,1142,
1144,1125,1137,1138,1145,1146,1114,1141,1148,1120,1140,1137,1137,1138,1139,
1143,1118,1138,1124,1158,1151,1149,1155,1154,1158,1152,1153,1162,1164,1166,
1173,1172,1174,1177,1176,1175,1179,1178,1180,1175,1176,1182,1184,1187,1185,
1191,1197,1203,1205,1195,1204,1189,1194,1209,1210,1212,1188,1207,1214,1199,
1213,1193,1216,1211,1198,1215,1202,1186,1217,1218,1231,1220,1225,1226,1230,
1222,1198,1229,1223,1233,1236,1238,1237,1240,1251,1249,1242,1250,1241,1247,
1239,1243,1246,1244,1245,1248,1253,1252,1254,1260,1261,1266,1270,1267,1268,
1272,1274,1282,1275,1283,1280,1271,1278,1281,1276,1284,1279,1277,1278,1285,
1280,1288,1291,1292,1293,1289,1296,1303,1304,1306,1307,1305,1309,1310,1308,
1314,1316,1317,1320,1322,1321,1325,1326,1327,1329,1339,1334,1333,1336,1330,
1338,1340,1337,1331,1335,1344,1342,1343,1346,1345,1354,1353,1355,1356,1358,
1368,1365,1360,1374,1373,1372,1375,1378,1377,1383,1385,1380,1382,1391,1394,
1393,1396,1401,1404,1407] );
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#E