GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmm24m5.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmm24m5.tom,v 4.2 2001/07/05 07:05:15 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the fifth maxmal subgroup of
## $M24$.
##
#H tomlib history
#H --------------
#H $Log: tmm24m5.tom,v $
#H Revision 4.2 2001/07/05 07:05:15 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/tmm24m5.tom,v
#H Working file: tmm24m5.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 11:52:37; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:32; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmm24m5_tom :=
"@(#)$Id: tmm24m5.tom,v 4.2 2001/07/05 07:05:15 gap Exp $";
SetActualLibFileName("tmm24m5");
LIBTOM( "2^6:3.S6",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,2,11],[1,3,
12],[1,3,13],[1,3,14],[1,2,3,15],[1,2,4,16],[1,3,17],[1,3,4,18],[1,5,19],[1,5,
6,20],[1,6,21],[1,5,22],[1,6,23],[1,5,7,24],[1,2,5,25],[1,3,5,26],[1,3,6,27],[
1,4,5,28],[1,3,5,29],[1,3,6,30],[1,2,3,6,31],[1,3,5,32],[1,3,4,7,33],[1,4,6,
34],[1,5,35],[1,5,7,36],[1,6,7,37],[1,2,5,38],[1,3,6,39],[1,3,5,6,40],[1,4,6,
7,41],[1,3,7,42],[1,5,43],[1,5,44],[1,5,45],[1,6,46],[1,5,47],[1,6,48],[1,5,
49],[1,2,50],[1,3,51],[1,3,52],[1,53],[1,4,8,54],[1,3,9,55],[1,6,9,56],[1,7,8,
57],[1,7,9,58],[1,6,10,59],[1,3,10,60],[1,4,10,61],[1,2,10,62],[1,4,10,63],[1,
5,9,64],[1,6,8,65],[1,7,9,66],[1,5,6,19,20,67],[1,5,6,20,21,68],[1,5,22,35,
69],[1,5,7,22,24,36,70],[1,2,5,22,25,71],[1,3,5,22,26,32,72],[1,4,5,22,28,
73],[1,3,4,5,7,24,28,29,33,74],[1,2,3,6,23,30,31,75],[1,2,5,11,25,38,76],[1,2,
3,6,13,31,39,77],[1,3,5,6,12,27,29,39,40,78],[1,3,4,7,12,33,42,79],[1,2,3,5,6,
15,31,32,38,40,80],[1,3,5,6,14,26,30,39,40,81],[1,5,19,35,82],[1,5,6,7,20,36,
37,83],[1,3,5,19,26,29,84],[1,2,3,5,6,20,25,29,31,85],[1,3,5,6,20,27,30,32,
86],[1,4,5,6,20,28,34,87],[1,3,5,17,29,88],[1,2,3,5,15,25,26,89],[1,2,3,6,11,
15,31,90],[1,3,5,17,26,91],[1,3,5,13,14,29,32,92],[1,2,4,5,16,25,28,93],[1,3,
4,5,18,28,29,94],[1,2,3,6,14,15,27,30,31,95],[1,2,3,6,12,13,15,30,31,96],[1,3,
5,12,14,26,32,97],[1,3,4,7,17,18,33,98],[1,2,3,4,6,16,18,31,34,99],[1,3,5,6,
20,22,29,40,100],[1,2,5,19,22,25,38,101],[1,3,5,6,20,23,27,39,40,102],[1,4,5,
6,7,20,24,28,41,103],[1,2,5,25,35,38,104],[1,3,5,7,29,36,42,105],[1,3,4,6,7,
33,37,39,41,42,106],[1,5,7,35,36,107],[1,2,5,22,35,38,108],[1,4,6,7,23,37,41,
109],[1,3,5,6,7,24,36,37,40,42,110],[1,2,5,25,35,38,111],[1,3,4,5,6,7,28,33,
36,40,41,112],[1,3,4,6,7,27,33,37,41,42,113],[1,3,5,6,19,32,40,114],[1,3,5,6,
20,30,32,39,40,115],[1,2,3,5,6,20,26,31,38,40,116],[1,4,6,7,21,34,41,117],[1,
2,3,13,14,15,118],[1,2,3,5,15,26,29,32,38,119],[1,3,5,6,14,29,30,32,40,120],[
1,2,3,5,6,15,25,31,32,40,121],[1,2,3,6,14,15,27,30,31,39,122],[1,3,5,6,13,14,
26,27,30,32,40,123],[1,5,7,19,24,43,124],[1,5,6,20,22,44,125],[1,5,6,7,20,24,
45,126],[1,6,21,23,46,127],[1,2,5,7,24,25,43,128],[1,3,5,7,24,29,45,129],[1,3,
5,22,29,44,130],[1,4,5,22,28,45,131],[1,4,5,7,24,28,44,132],[1,2,3,5,25,29,44,
133],[1,2,4,5,25,28,45,134],[1,3,4,5,28,29,43,135],[1,3,4,5,28,29,45,136],[1,
4,5,28,44,137],[1,2,5,6,20,25,44,138],[1,4,5,19,28,45,139],[1,4,5,6,20,28,43,
140],[1,3,5,6,20,29,44,141],[1,4,5,6,20,28,45,142],[1,3,6,21,27,46,143],[1,2,
4,11,16,50,144],[1,3,4,12,18,52,145],[1,3,12,17,51,146],[1,2,3,4,15,16,50,
147],[1,3,4,13,18,52,148],[1,3,14,17,51,149],[1,2,3,5,25,26,47,150],[1,3,5,26,
47,151],[1,3,4,6,27,34,48,152],[1,3,4,5,28,32,49,153],[1,3,4,6,30,34,48,154],[
1,3,5,7,29,36,49,155],[1,3,5,29,35,47,156],[1,2,5,7,25,36,49,157],[1,3,5,22,
26,47,158],[1,3,5,7,24,32,49,159],[1,4,6,23,34,48,160],[1,5,7,36,47,161],[1,5,
7,35,36,49,162],[1,5,7,19,36,49,163],[1,5,6,20,35,47,164],[1,5,6,7,20,36,49,
165],[1,6,7,21,37,48,166],[1,3,5,7,32,36,45,167],[1,3,5,7,32,36,43,168],[1,3,
5,26,35,44,169],[1,4,6,7,34,37,46,170],[1,3,6,17,39,51,171],[1,3,4,6,18,39,52,
172],[1,2,4,5,16,38,50,173],[1,3,7,17,42,52,174],[1,3,4,7,18,42,51,175],[1,5,
22,47,176],[1,5,22,49,177],[1,5,19,47,178],[1,5,6,20,49,179],[1,5,6,20,48,
180],[1,5,22,44,181],[1,5,22,45,182],[1,5,22,43,183],[1,5,7,24,44,45,184],[1,
2,5,25,44,185],[1,3,5,29,45,186],[1,3,5,29,44,187],[1,3,5,29,43,45,188],[1,2,
5,25,45,189],[1,4,5,28,44,45,190],[1,4,5,28,44,45,191],[1,4,5,28,43,44,192],[
1,3,5,29,52,193],[1,3,5,29,51,194],[1,2,5,25,50,195],[1,2,3,6,31,52,196],[1,2,
3,6,31,50,197],[1,3,5,26,51,198],[1,3,4,7,33,51,52,199],[1,5,19,44,200],[1,5,
6,20,43,45,201],[1,5,6,20,45,202],[1,5,6,20,44,203],[1,5,6,20,46,204],[1,2,5,
25,47,205],[1,3,5,29,49,206],[1,3,5,26,47,207],[1,2,3,6,31,48,208],[1,5,35,49,
209],[1,5,7,36,47,49,210],[1,3,5,6,40,43,49,211],[1,2,5,38,44,47,212],[1,3,5,
6,40,45,49,213],[1,4,6,7,41,46,48,214],[1,5,47,215],[1,5,44,216],[1,5,43,44,
45,217],[1,5,44,45,218],[1,5,47,49,219],[1,5,47,220],[1,8,9,221],[1,8,10,
222],[1,6,53,223],[1,3,53,224],[1,2,53,225],[1,2,8,11,226],[1,3,9,17,227],[1,
5,8,19,228],[1,6,9,21,229],[1,2,10,11,230],[1,3,10,13,231],[1,3,10,12,232],[1,
5,9,19,233],[1,6,9,21,234],[1,6,10,23,235],[1,5,10,22,236],[1,6,10,23,237],[1,
5,9,35,238],[1,6,8,23,65,239],[1,5,7,9,24,64,66,240],[1,5,9,19,64,241],[1,6,8,
21,65,242],[1,2,10,11,62,243],[1,2,4,10,16,62,63,244],[1,2,3,10,15,60,62,
245],[1,2,4,10,16,61,62,246],[1,3,4,10,18,60,61,63,247],[1,4,6,7,8,41,54,57,
65,248],[1,3,5,6,9,40,55,56,64,249],[1,3,7,9,42,55,58,66,250],[1,3,5,9,32,55,
64,251],[1,4,6,8,34,54,65,252],[1,5,7,9,36,58,64,253],[1,6,7,8,37,57,65,254],[
1,6,7,9,37,56,58,66,255],[1,2,3,6,10,31,59,60,62,256],[1,4,6,10,34,59,61,63,
257],[1,2,10,50,62,258],[1,5,9,49,64,259],[1,6,8,48,65,260],[1,2,10,50,62,
261],[1,5,9,43,64,262],[1,6,8,46,65,263],[1,8,53,264],[1,5,19,35,82,265],[1,5,
6,19,20,21,67,68,266],[1,5,7,22,24,35,36,69,70,107,267],[1,2,4,5,16,22,25,28,
71,73,93,268],[1,3,5,12,14,22,26,32,72,97,269],[1,3,4,5,7,17,18,24,28,29,33,
74,88,94,98,270],[1,2,3,6,11,12,13,15,23,30,31,75,90,96,271],[1,2,3,6,11,13,
14,15,27,30,31,39,77,90,95,118,122,272],[1,2,3,5,6,12,13,14,15,26,27,29,30,31,
32,38,40,80,92,95,96,97,118,119,120,123,273],[1,2,3,5,6,12,13,14,15,25,26,27,
30,31,32,39,40,81,89,95,96,97,118,121,122,123,274],[1,3,5,17,19,26,29,84,88,
91,275],[1,2,3,4,5,6,16,18,20,25,28,29,31,34,85,87,93,94,99,276],[1,2,5,19,22,
25,35,38,69,71,101,111,277],[1,3,4,5,6,7,20,22,24,28,29,33,36,40,41,70,73,74,
100,103,112,278],[1,2,5,11,19,22,25,38,76,101,279],[1,3,5,6,12,20,22,23,27,29,
39,40,78,100,102,280],[1,2,5,11,22,25,35,38,71,76,104,108,111,281],[1,3,4,5,6,
7,12,24,27,28,29,33,36,37,39,40,41,42,74,78,79,105,106,110,112,113,282],[1,2,
3,5,6,19,20,22,25,26,29,31,38,40,67,84,85,100,101,116,283],[1,4,5,6,7,20,21,
24,28,34,41,68,87,103,117,284],[1,3,5,6,19,20,23,27,30,32,39,40,67,86,102,114,
115,285],[1,2,3,5,15,19,22,25,26,29,32,38,72,84,89,101,119,286],[1,3,5,6,13,
14,20,22,26,27,29,30,32,40,72,86,92,100,123,287],[1,2,3,5,6,14,15,20,23,25,27,
29,30,31,32,39,40,75,85,86,95,102,120,121,122,288],[1,3,5,6,12,13,14,19,26,27,
29,30,32,39,40,78,81,84,92,97,114,120,123,289],[1,2,3,5,6,11,15,20,25,26,29,
31,32,38,40,76,80,85,89,90,116,119,121,290],[1,2,3,5,6,12,13,14,15,20,25,27,
29,30,31,32,39,40,77,78,85,92,96,115,121,122,291],[1,2,3,5,6,12,13,14,15,20,
26,27,29,30,31,32,38,39,40,78,80,81,86,95,96,97,115,116,119,120,122,123,292],[
1,2,5,19,22,25,35,38,69,82,101,104,108,293],[1,3,5,6,7,20,22,24,29,36,37,40,
42,70,83,100,105,110,294],[1,2,5,19,22,25,35,38,82,101,104,108,111,295],[1,3,
4,5,6,7,20,23,24,27,28,33,36,37,39,40,41,42,83,102,103,106,109,110,112,113,
296],[1,3,5,6,14,20,22,26,29,30,32,39,40,72,81,100,115,120,297],[1,2,3,5,6,15,
19,20,22,25,26,29,31,32,38,40,72,80,100,101,114,116,119,121,298],[1,2,3,5,6,
13,14,15,20,23,26,27,30,31,32,38,39,40,75,77,80,81,102,115,116,122,123,299],[
1,5,22,35,43,69,183,300],[1,5,7,22,24,36,44,45,70,181,182,184,301],[1,2,5,19,
22,25,38,44,47,101,176,181,212,302],[1,3,5,6,20,22,29,40,45,49,100,177,182,
213,303],[1,3,5,6,20,22,29,40,43,49,100,177,183,211,304],[1,2,5,22,25,45,71,
182,189,305],[1,4,5,22,28,43,44,73,181,183,192,306],[1,3,4,5,7,24,28,29,33,44,
45,74,184,186,187,190,307],[1,2,5,22,25,50,71,195,308],[1,3,4,5,7,24,28,29,33,
51,52,74,193,194,199,309],[1,3,5,19,26,29,44,84,187,200,310],[1,2,3,5,6,20,25,
29,31,45,85,186,189,202,311],[1,4,5,6,20,28,34,43,44,45,87,190,192,201,203,
312],[1,3,5,19,26,29,51,84,194,198,313],[1,2,3,5,6,20,25,29,31,50,85,195,197,
314],[1,2,3,5,6,20,25,29,31,52,85,193,196,315],[1,5,6,19,20,44,67,200,203,
316],[1,5,6,20,21,43,45,68,201,202,317],[1,5,6,19,20,46,67,204,318],[1,3,5,19,
26,29,47,84,178,207,319],[1,2,3,5,6,20,25,29,31,48,85,180,208,320],[1,2,5,19,
22,25,38,44,101,181,185,200,321],[1,3,5,6,20,22,29,40,43,45,100,182,183,188,
201,322],[1,4,5,6,7,20,24,28,41,44,45,103,184,191,202,203,323],[1,2,5,11,25,
38,44,47,76,185,205,212,324],[1,3,5,6,12,27,29,39,40,43,45,49,78,188,206,211,
213,325],[1,3,5,17,29,43,45,88,186,188,326],[1,2,4,5,16,25,28,44,45,93,185,
189,190,191,327],[1,3,4,5,18,28,29,43,44,45,94,187,188,191,192,328],[1,2,5,19,
22,25,38,47,101,176,178,205,329],[1,3,5,6,20,22,29,40,49,100,177,179,206,
330],[1,5,22,35,49,69,177,209,331],[1,5,7,22,24,36,47,49,70,176,177,210,332],[
1,2,5,19,22,25,38,44,47,101,178,200,212,333],[1,4,5,6,7,20,24,28,41,46,48,103,
180,204,214,334],[1,3,5,6,20,23,27,39,40,43,45,49,102,179,201,211,213,335],[1,
5,19,47,178,215,336],[1,5,19,44,200,216,337],[1,5,6,20,43,44,45,201,202,203,
217,218,338],[1,5,22,43,44,45,181,182,183,217,339],[1,5,7,24,44,45,184,216,
218,340],[1,2,5,25,44,45,185,189,218,341],[1,3,5,29,43,44,45,186,187,188,217,
218,342],[1,4,5,28,43,44,45,190,191,192,216,217,218,343],[1,5,22,47,49,176,
177,219,344],[1,5,19,47,178,345],[1,5,22,47,49,176,177,346],[1,5,19,44,47,178,
200,347],[1,5,19,44,47,178,200,348],[1,5,6,20,45,46,49,179,202,204,349],[1,5,
6,20,43,45,46,48,180,201,204,350],[1,5,6,20,43,45,46,48,180,201,204,351],[1,5,
22,43,47,176,183,352],[1,5,22,43,44,49,177,181,183,353],[1,5,22,44,45,49,177,
181,182,354],[1,5,22,44,45,49,177,181,182,355],[1,5,22,43,45,47,176,182,183,
356],[1,2,5,25,44,50,185,195,357],[1,2,5,25,44,50,185,195,358],[1,3,5,29,43,
45,51,52,188,193,194,359],[1,3,5,29,43,45,51,52,188,193,194,360],[1,5,22,45,
47,49,176,177,182,361],[1,5,22,44,49,177,181,362],[1,5,22,43,47,49,176,177,
183,363],[1,5,19,44,47,178,200,364],[1,5,6,20,44,48,49,179,180,203,365],[1,3,
5,29,45,49,51,186,194,206,366],[1,3,5,29,44,49,52,187,193,206,367],[1,2,5,25,
45,47,50,189,195,205,368],[1,5,19,35,44,82,200,369],[1,5,6,7,20,36,37,45,46,
83,202,204,370],[1,2,5,19,22,25,38,44,47,101,178,200,371],[1,4,5,6,7,20,24,28,
41,46,48,103,180,204,372],[1,3,5,6,20,23,27,39,40,45,48,102,180,202,373],[1,5,
19,35,47,82,178,374],[1,3,5,6,20,22,29,40,44,100,181,375],[1,2,5,19,22,25,38,
45,101,182,376],[1,3,5,6,20,22,29,40,43,100,183,377],[1,2,5,19,22,25,38,44,
101,200,378],[1,3,5,6,20,22,29,40,46,100,204,379],[1,3,5,6,20,23,27,39,40,44,
46,102,203,204,380],[1,3,5,22,26,32,45,49,72,177,182,381],[1,3,5,22,26,32,44,
47,72,176,181,382],[1,3,5,22,26,32,43,49,72,177,183,383],[1,3,5,6,20,22,29,40,
51,100,194,384],[1,3,5,6,20,22,29,40,52,100,193,385],[1,2,5,19,22,25,38,50,
101,195,386],[1,2,5,25,35,38,45,50,104,189,195,387],[1,3,5,7,29,36,42,44,52,
105,187,193,388],[1,3,5,7,29,36,42,45,51,105,186,194,389],[1,2,3,6,13,31,39,
48,50,77,197,208,390],[1,2,3,5,6,15,31,32,38,40,48,52,80,196,208,391],[1,3,5,
6,14,26,30,39,40,47,51,81,198,207,392],[1,2,5,22,25,49,71,177,393],[1,3,5,22,
26,32,47,72,176,394],[1,4,5,22,28,47,49,73,176,177,395],[1,3,5,22,26,32,49,72,
177,396],[1,5,22,35,45,69,182,397],[1,5,7,22,24,36,43,44,70,181,183,398],[1,2,
5,19,22,25,38,43,49,101,177,183,399],[1,3,5,6,20,22,29,40,44,47,100,176,181,
400],[1,3,5,6,20,22,29,40,45,49,100,177,182,401],[1,3,5,22,26,32,44,72,181,
402],[1,3,5,22,26,32,43,45,72,182,183,403],[1,2,5,22,25,50,71,195,404],[1,3,5,
22,26,32,51,72,198,405],[1,3,4,5,7,24,28,29,33,51,52,74,193,194,406],[1,2,3,6,
23,30,31,50,52,75,196,197,407],[1,3,5,6,12,27,29,39,40,44,51,78,187,194,408],[
1,3,5,6,12,27,29,39,40,45,52,78,186,193,409],[1,2,5,11,25,38,45,50,76,189,195,
410],[1,3,5,6,20,22,29,40,49,100,177,411],[1,3,5,6,20,22,29,40,47,100,176,
412],[1,2,5,19,22,25,38,49,101,177,413],[1,5,7,22,24,36,45,47,70,176,182,
414],[1,5,7,22,24,36,44,49,70,177,181,415],[1,5,22,35,43,49,69,177,183,416],[
1,2,5,19,22,25,38,47,101,178,417],[1,3,5,6,20,22,29,40,48,100,180,418],[1,5,
19,35,44,47,82,178,200,419],[1,5,6,7,20,36,37,44,48,83,180,203,420],[1,3,5,19,
26,29,44,84,200,421],[1,2,3,5,6,20,25,29,31,46,85,204,422],[1,3,5,6,20,27,30,
32,44,46,86,203,204,423],[1,2,3,5,6,20,25,29,31,50,85,195,424],[1,2,3,5,6,20,
25,29,31,51,85,194,425],[1,3,5,19,26,29,52,84,193,426],[1,3,4,5,18,28,29,49,
51,94,194,206,427],[1,3,5,17,29,49,52,88,193,206,428],[1,2,4,5,16,25,28,47,50,
93,195,205,429],[1,3,5,12,14,26,32,47,51,97,198,207,430],[1,2,3,6,11,15,31,48,
52,90,196,208,431],[1,2,3,6,12,13,15,30,31,48,50,96,197,208,432],[1,5,6,19,20,
47,67,178,433],[1,5,6,19,20,48,67,180,434],[1,5,6,20,21,48,49,68,179,180,
435],[1,3,5,19,26,29,44,47,84,178,200,436],[1,3,5,6,20,27,30,32,45,48,86,180,
202,437],[1,4,5,6,20,28,34,46,49,87,179,204,438],[1,2,3,5,15,25,26,45,50,89,
189,195,439],[1,3,5,13,14,29,32,44,51,92,187,194,440],[1,3,5,13,14,29,32,45,
52,92,186,193,441],[1,2,3,5,15,25,26,51,89,198,442],[1,2,3,6,14,15,27,30,31,
50,52,95,196,197,443],[1,2,5,25,35,38,49,104,209,444],[1,5,19,35,49,82,209,
445],[1,3,5,6,7,20,22,24,29,36,40,45,70,100,126,129,182,446],[1,3,5,6,20,22,
29,35,40,44,69,100,125,130,181,447],[1,2,5,7,19,22,24,25,36,38,43,70,101,124,
128,183,448],[1,4,5,6,7,20,22,24,28,36,41,44,45,70,103,125,126,131,132,184,
449],[1,3,5,22,26,32,35,47,69,72,158,176,450],[1,3,5,7,22,24,26,32,36,49,70,
72,159,177,451],[1,2,4,5,19,22,25,28,38,45,73,101,134,139,182,452],[1,2,3,5,6,
20,22,25,29,40,44,71,100,133,138,181,453],[1,3,4,5,6,20,22,28,29,40,43,73,100,
135,140,183,454],[1,3,4,5,6,7,20,24,28,29,33,41,44,45,74,103,136,137,141,142,
184,455],[1,2,3,5,19,22,25,26,29,38,44,84,101,130,133,200,456],[1,2,3,4,5,6,7,
20,24,25,28,29,31,41,43,45,85,103,128,129,134,135,201,457],[1,3,4,5,6,20,22,
28,29,34,40,45,87,100,131,136,202,458],[1,4,5,6,7,20,24,28,34,41,44,87,103,
132,137,203,459],[1,2,3,5,22,25,26,32,47,71,72,150,176,460],[1,3,4,5,22,26,28,
32,49,72,73,153,177,461],[1,3,4,5,7,19,24,26,28,29,33,43,45,74,84,124,129,135,
139,188,462],[1,2,3,5,6,20,22,25,29,31,44,71,85,125,130,133,138,185,463],[1,2,
3,4,5,6,7,20,24,25,28,29,31,33,43,45,74,85,126,128,134,140,188,464],[1,3,4,5,
6,7,20,24,28,29,33,34,44,45,74,87,126,132,136,141,191,465],[1,4,5,6,20,22,28,
34,44,45,73,87,125,131,137,142,191,466],[1,2,3,5,15,25,26,35,38,44,89,104,169,
185,467],[1,3,5,7,13,14,29,32,36,42,43,45,92,105,167,168,188,468],[1,3,4,5,6,
18,20,22,28,29,40,45,94,100,131,142,186,469],[1,3,5,6,17,20,22,29,40,44,88,
100,130,141,187,470],[1,2,4,5,16,19,22,25,28,38,45,93,101,131,139,189,471],[1,
3,4,5,6,7,18,20,24,28,29,41,44,45,94,103,129,132,141,142,190,472],[1,2,4,5,6,
7,16,20,24,25,28,41,43,44,93,103,128,132,138,140,192,473],[1,2,3,5,15,22,25,
26,47,71,89,150,158,205,474],[1,3,5,17,22,26,32,47,72,91,151,158,207,475],[1,
3,4,5,7,13,14,24,28,29,32,33,49,74,92,153,159,206,476],[1,2,3,4,6,16,18,23,30,
31,34,48,75,99,154,160,208,477],[1,3,4,5,7,18,28,29,36,42,51,94,105,175,194,
478],[1,3,5,7,17,29,36,42,52,88,105,174,193,479],[1,2,4,5,16,25,28,35,38,50,
93,104,173,195,480],[1,3,4,6,7,17,18,33,37,39,41,42,51,52,98,106,171,172,174,
175,199,481],[1,2,3,4,5,6,7,15,25,28,31,32,33,36,40,41,45,49,112,121,134,153,
157,167,213,482],[1,3,4,5,6,7,14,28,29,30,32,33,36,40,41,43,49,112,120,135,
153,155,168,211,483],[1,2,3,5,15,25,26,29,32,35,38,44,47,111,119,133,150,156,
169,212,484],[1,4,5,22,28,35,45,69,73,131,182,485],[1,2,5,7,22,24,25,36,43,70,
71,128,183,486],[1,4,5,7,22,24,28,36,44,70,73,132,181,487],[1,3,4,5,7,22,24,
28,29,33,36,44,45,70,74,129,130,131,132,184,488],[1,3,5,7,22,24,26,32,36,45,
70,72,167,182,489],[1,3,5,22,26,32,35,44,69,72,169,181,490],[1,3,5,7,22,24,26,
32,36,43,70,72,168,183,491],[1,2,3,5,6,7,15,24,25,31,32,36,37,40,42,43,49,110,
121,128,157,159,168,211,492],[1,3,5,6,7,14,24,29,30,32,36,37,40,42,45,49,110,
120,129,155,159,167,213,493],[1,2,3,5,15,22,26,29,32,35,38,44,47,108,119,130,
156,158,169,212,494],[1,3,5,6,19,20,26,29,44,67,84,141,200,495],[1,4,5,6,20,
21,28,34,43,45,68,87,140,142,201,496],[1,2,3,5,6,20,21,25,29,31,44,68,85,138,
141,203,497],[1,4,5,6,19,20,28,34,45,67,87,139,142,202,498],[1,3,5,6,20,21,27,
30,32,46,68,86,143,204,499],[1,2,5,6,19,20,22,25,38,44,67,101,125,138,200,
500],[1,3,5,6,20,21,22,29,40,44,68,100,125,141,203,501],[1,4,5,6,7,19,20,24,
28,41,43,45,67,103,124,126,139,140,201,502],[1,4,5,6,7,20,21,24,28,41,45,68,
103,126,142,202,503],[1,3,5,6,20,21,23,27,39,40,46,68,102,127,143,204,504],[1,
3,5,19,26,29,35,47,82,84,156,178,505],[1,2,3,5,6,7,20,25,29,31,36,37,49,83,85,
155,157,179,506],[1,3,5,7,19,26,29,36,42,49,84,105,155,163,206,507],[1,2,3,5,
6,20,25,29,31,35,38,47,85,104,156,164,205,508],[1,2,3,5,6,7,20,25,29,31,36,42,
49,85,105,157,165,206,509],[1,2,4,5,16,25,28,44,93,137,185,510],[1,3,4,5,17,
18,28,29,43,45,88,94,135,136,188,511],[1,2,3,4,5,16,18,25,28,29,44,45,93,94,
133,134,136,137,191,512],[1,2,3,4,5,15,16,25,26,28,50,89,93,147,195,513],[1,3,
5,13,14,17,29,32,51,88,92,149,194,514],[1,3,4,5,13,14,18,28,29,32,52,92,94,
148,193,515],[1,3,5,12,14,17,26,32,51,91,97,146,149,198,516],[1,2,3,4,6,12,13,
15,16,18,30,31,34,52,96,99,145,148,196,517],[1,2,3,4,6,11,15,16,18,31,34,50,
90,99,144,147,197,518],[1,3,5,19,26,29,47,84,151,178,519],[1,3,4,5,6,20,27,28,
30,32,34,48,86,87,154,180,520],[1,5,7,22,24,36,47,70,161,176,521],[1,5,7,22,
24,35,36,49,69,70,162,177,522],[1,5,6,19,20,35,47,67,82,164,178,523],[1,5,6,7,
19,20,36,37,49,67,83,163,165,179,524],[1,5,6,7,20,21,36,37,48,68,83,166,180,
525],[1,3,5,6,7,20,22,24,29,36,40,49,70,100,155,165,177,526],[1,3,5,6,20,22,
29,35,40,47,69,100,156,164,176,527],[1,2,5,7,19,22,24,25,36,38,49,70,101,157,
163,177,528],[1,2,5,7,25,35,36,38,49,104,107,157,162,209,529],[1,3,5,7,29,35,
36,42,47,49,105,107,155,156,161,162,210,530],[1,2,3,5,19,22,25,26,29,38,47,84,
101,150,158,178,531],[1,3,4,5,6,7,20,24,27,28,30,32,41,49,86,103,153,159,179,
532],[1,3,4,5,6,20,23,27,28,34,39,40,48,87,102,152,160,180,533],[1,3,5,19,26,
29,35,44,82,84,169,200,534],[1,4,5,6,7,20,28,34,36,37,46,83,87,170,204,535],[
1,3,5,6,7,20,27,30,32,36,37,43,45,83,86,167,168,201,536],[1,3,4,5,6,7,20,28,
30,32,33,36,39,40,41,43,49,112,115,140,153,165,168,211,537],[1,3,4,5,6,7,19,
28,32,33,36,40,41,45,49,112,114,139,153,163,167,213,538],[1,2,3,5,6,20,25,26,
31,35,38,40,44,47,111,116,138,150,164,169,212,539],[1,3,4,6,7,21,27,33,34,37,
41,42,46,48,113,117,143,152,166,170,214,540],[1,2,3,4,5,6,16,20,25,28,29,31,
45,85,93,136,142,189,541],[1,3,4,5,18,19,26,28,29,45,84,94,136,139,186,542],[
1,2,3,5,6,17,20,25,29,31,44,85,88,133,141,187,543],[1,3,4,5,6,18,20,28,29,34,
43,44,87,94,135,137,140,141,192,544],[1,2,4,5,6,16,20,25,28,34,44,45,87,93,
134,137,138,142,190,545],[1,2,3,5,15,17,25,26,47,89,91,150,151,207,546],[1,2,
3,4,6,14,15,16,18,27,30,31,34,48,95,99,152,154,208,547],[1,2,4,5,16,22,25,28,
45,71,93,131,134,189,548],[1,3,4,5,7,17,24,28,29,33,45,74,88,129,136,186,
549],[1,3,4,5,7,18,24,28,29,33,44,74,94,132,137,187,550],[1,3,4,5,18,22,28,29,
44,45,73,94,130,131,136,137,190,551],[1,2,3,4,5,7,16,24,25,28,29,33,43,44,74,
93,128,132,133,135,192,552],[1,3,5,6,12,17,27,29,39,40,51,78,88,146,171,194,
553],[1,3,4,5,6,12,18,27,28,29,39,40,52,78,94,145,172,193,554],[1,2,4,5,11,16,
25,28,38,50,76,93,144,173,195,555],[1,2,3,4,5,6,15,16,18,31,32,34,38,40,50,80,
99,147,173,197,556],[1,2,3,4,6,13,16,18,31,34,39,52,77,99,148,172,196,557],[1,
3,5,6,14,17,26,30,39,40,51,81,91,149,171,198,558],[1,3,4,7,12,17,18,33,42,51,
52,79,98,145,146,174,175,199,559],[1,5,7,19,35,36,49,82,107,162,163,209,560],[
1,5,6,7,20,35,36,37,47,49,83,107,161,162,164,165,210,561],[1,2,3,5,6,20,22,26,
31,35,38,40,44,47,108,116,125,158,164,169,212,562],[1,3,5,6,7,20,24,30,32,36,
37,39,40,42,45,49,110,115,126,159,165,167,213,563],[1,3,5,6,7,19,24,32,36,37,
40,42,43,49,110,114,124,159,163,168,211,564],[1,4,6,7,21,23,34,37,41,46,48,
109,117,127,160,166,170,214,565],[1,4,5,28,43,44,137,192,216,566],[1,3,4,5,28,
29,43,44,45,135,136,137,187,190,192,217,567],[1,2,3,4,5,25,28,29,44,45,133,
134,136,186,189,190,218,568],[1,4,5,7,19,24,28,43,44,45,124,132,139,184,192,
200,217,569],[1,4,5,6,7,20,24,28,44,45,126,132,142,184,190,203,218,570],[1,3,
5,6,7,20,24,29,44,45,126,129,141,184,186,202,218,571],[1,4,5,6,20,22,28,44,45,
125,131,142,182,190,202,218,572],[1,3,5,6,20,22,29,44,125,130,141,181,187,203,
216,573],[1,2,5,6,7,20,24,25,43,44,45,126,128,138,184,189,201,217,574],[1,4,5,
6,20,22,28,43,44,45,125,131,140,183,192,201,217,575],[1,3,4,5,22,28,29,43,44,
45,130,131,135,183,188,192,217,576],[1,4,5,7,24,28,44,45,132,137,184,190,191,
216,577],[1,3,4,5,7,24,28,29,44,45,129,132,136,184,187,191,218,578],[1,2,4,5,
7,24,25,28,43,44,45,128,132,134,184,185,192,217,579],[1,2,3,5,7,24,25,29,43,
44,45,128,129,133,184,188,189,217,580],[1,4,5,22,28,44,45,131,137,181,190,191,
218,581],[1,3,4,5,22,28,29,44,45,130,131,136,182,186,191,218,582],[1,3,5,22,
26,47,151,158,176,207,215,583],[1,3,4,5,6,20,28,29,43,44,45,136,141,142,188,
192,201,218,584],[1,4,5,6,20,28,43,44,45,137,140,142,191,192,203,217,585],[1,
3,4,5,6,20,28,29,43,44,45,136,140,141,188,190,202,217,586],[1,2,3,5,6,20,25,
29,44,133,138,141,185,187,203,216,587],[1,3,4,5,6,20,28,29,43,44,45,135,141,
142,186,191,201,217,588],[1,4,5,19,28,44,45,137,139,190,191,200,218,589],[1,2,
4,5,6,20,25,28,44,45,134,138,142,189,191,202,218,590],[1,2,5,7,25,36,47,49,
157,161,205,210,219,591],[1,3,5,7,29,35,36,47,49,155,156,162,206,209,210,219,
592],[1,2,3,5,25,26,47,150,151,205,207,215,593],[1,5,7,19,36,47,49,161,163,
178,210,219,594],[1,5,6,7,20,35,36,47,49,162,164,165,179,209,210,219,595],[1,
5,19,47,178,220,596],[1,5,22,47,176,220,597],[1,2,5,25,47,205,220,598],[1,5,7,
36,47,161,215,220,599],[1,3,5,26,47,49,151,219,220,600],[1,5,47,49,215,219,
220,601],[1,3,5,7,26,36,47,151,161,220,602],[1,7,8,9,57,58,221,603],[1,4,8,10,
54,61,222,604],[1,7,8,9,57,66,221,605],[1,6,8,9,56,65,221,606],[1,4,8,10,54,
63,222,607],[1,6,8,10,59,65,222,608],[1,2,11,53,225,609],[1,2,3,15,53,224,225,
610],[1,2,3,6,31,53,223,224,225,611],[1,6,48,53,223,612],[1,3,52,53,224,613],[
1,6,9,21,23,46,56,127,229,614],[1,5,7,8,19,24,43,57,124,228,615],[1,5,6,10,20,
22,44,59,125,236,616],[1,6,10,21,23,46,59,127,237,617],[1,3,5,10,22,29,44,60,
130,236,618],[1,4,5,10,22,28,45,61,131,236,619],[1,4,5,8,19,28,45,54,139,228,
620],[1,3,6,9,21,27,46,55,143,229,621],[1,5,6,9,20,35,47,56,164,238,622],[1,3,
9,12,17,51,55,146,227,623],[1,3,9,14,17,51,55,149,227,624],[1,2,4,8,11,16,50,
54,144,226,625],[1,3,5,9,29,35,47,55,156,238,626],[1,3,6,9,17,39,51,56,171,
227,627],[1,3,7,9,17,42,52,58,174,227,628],[1,5,7,8,19,36,49,57,163,228,629],[
1,6,7,9,21,37,48,58,166,229,630],[1,3,5,9,26,35,44,55,169,238,631],[1,5,7,9,
35,36,49,58,162,238,632],[1,3,5,10,22,26,47,60,158,236,633],[1,4,6,10,23,34,
48,61,160,237,634],[1,4,6,10,23,34,48,61,160,235,635],[1,5,7,9,19,36,49,58,
163,233,636],[1,6,7,9,21,37,48,58,166,234,637],[1,3,10,12,17,51,60,146,232,
638],[1,3,4,10,12,18,52,61,145,232,639],[1,2,4,10,11,16,50,61,144,230,640],[1,
3,4,10,13,18,52,61,148,231,641],[1,5,6,8,19,20,65,67,228,642],[1,5,6,9,20,21,
64,68,229,643],[1,2,5,10,22,25,62,71,236,644],[1,2,3,6,10,23,30,31,62,75,235,
645],[1,4,5,10,22,28,63,73,236,646],[1,2,5,10,11,25,38,62,76,230,647],[1,2,3,
6,10,13,31,39,62,77,231,648],[1,3,4,7,10,12,33,42,63,79,232,649],[1,5,9,22,35,
64,69,238,650],[1,3,5,9,17,29,64,88,227,651],[1,3,5,9,17,26,64,91,227,652],[1,
2,3,6,8,11,15,31,65,90,226,653],[1,3,4,7,9,17,18,33,66,98,227,654],[1,5,9,19,
35,64,82,233,655],[1,3,5,6,8,19,32,40,65,114,228,656],[1,4,6,7,9,21,34,41,66,
117,229,657],[1,2,5,10,22,35,38,62,108,236,658],[1,4,6,7,10,23,37,41,63,109,
237,659],[1,5,7,9,35,36,66,107,238,660],[1,2,5,9,25,35,38,64,111,238,661],[1,
2,3,10,13,14,15,62,118,231,662],[1,3,5,6,9,19,32,40,55,56,64,114,241,249,251,
663],[1,4,6,7,8,21,34,41,54,57,65,117,242,248,252,664],[1,2,3,6,10,11,15,31,
59,60,62,90,243,245,256,665],[1,2,3,4,6,10,16,18,31,34,59,60,61,62,63,99,244,
246,247,256,257,666],[1,4,6,7,8,23,37,41,54,57,65,109,239,248,254,667],[1,3,5,
6,7,9,24,36,37,40,42,55,56,58,64,66,110,240,249,250,253,255,668],[1,5,9,44,64,
216,669],[1,5,9,47,64,215,670],[1,3,5,6,9,40,43,49,55,56,64,211,249,259,262,
671],[1,4,6,7,8,41,46,48,54,57,65,214,248,260,263,672],[1,2,3,6,10,31,50,59,
60,62,197,256,258,261,673],[1,3,5,7,9,32,36,43,55,58,64,168,251,253,262,674],[
1,4,6,7,8,34,37,46,54,57,65,170,252,254,263,675],[1,2,3,4,10,15,16,50,60,61,
62,147,245,246,261,676],[1,4,6,8,23,34,48,54,65,160,239,252,260,677],[1,3,5,7,
9,24,32,49,55,64,66,159,240,251,259,678],[1,5,7,9,19,36,49,58,64,163,241,253,
259,679],[1,6,7,8,21,37,48,57,65,166,242,254,260,680],[1,2,4,10,11,16,50,61,
62,144,243,246,258,681],[1,2,3,4,10,15,16,50,60,62,63,147,244,245,258,682],[1,
6,8,21,23,46,65,127,239,242,263,683],[1,5,7,9,19,24,43,64,66,124,240,241,262,
684],[1,2,4,10,11,16,50,62,63,144,243,244,261,685],[1,8,9,10,221,222,686],[1,
6,8,53,65,223,264,687],[1,2,5,19,22,25,35,38,69,82,101,104,108,111,265,293,
295,688],[1,2,5,11,19,22,25,35,38,69,71,76,82,101,104,108,111,277,279,281,293,
295,689],[1,3,4,5,6,7,12,20,22,23,24,27,28,29,33,36,37,39,40,41,42,70,73,74,
78,79,83,100,102,103,105,106,109,110,112,113,278,280,282,294,296,690],[1,2,3,
5,6,11,15,19,20,22,25,26,29,31,32,38,40,67,72,76,80,84,85,89,90,100,101,114,
116,119,121,279,283,286,290,298,691],[1,2,3,5,6,12,13,14,15,19,20,22,23,25,26,
27,29,30,31,32,38,39,40,67,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,
114,115,116,119,120,121,122,123,280,283,285,287,288,289,291,292,297,298,299,
692],[1,2,3,5,6,12,13,14,15,19,20,22,25,26,27,29,30,31,32,38,39,40,72,78,80,
81,84,86,89,92,95,96,97,100,101,114,115,116,118,119,120,121,122,123,269,273,
274,286,287,289,292,297,298,693],[1,2,3,5,6,11,12,13,14,15,20,23,25,26,27,29,
30,31,32,38,39,40,75,76,77,78,80,81,85,86,89,90,92,95,96,97,102,115,116,118,
119,120,121,122,123,271,272,273,274,288,290,291,292,299,694],[1,2,5,7,19,22,
24,25,35,36,38,43,69,70,71,101,107,111,124,128,183,267,277,300,448,486,695],[
1,3,4,5,6,7,20,22,24,28,29,33,35,36,40,41,44,45,69,70,73,74,100,103,107,112,
125,126,129,130,131,132,181,182,184,267,278,301,446,447,449,485,487,488,696],[
1,3,5,6,7,14,20,22,24,26,29,30,32,36,37,39,40,42,45,49,70,72,81,83,100,105,
110,115,120,126,129,155,159,165,167,177,182,213,294,297,303,446,451,489,493,
526,563,697],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,36,37,38,40,42,43,49,
70,72,80,83,100,101,105,110,114,116,119,121,124,128,157,159,163,168,177,183,
211,294,298,304,448,451,491,492,528,564,698],[1,2,3,5,6,15,19,20,22,25,26,29,
31,32,35,38,40,44,47,69,72,80,82,100,101,104,108,114,116,119,121,125,130,156,
158,164,169,176,181,212,293,298,302,447,450,490,494,527,562,699],[1,2,3,5,6,
17,19,20,22,25,26,29,31,38,40,44,67,84,85,88,91,100,101,116,130,133,141,187,
200,275,283,310,456,470,495,543,700],[1,2,3,4,5,6,7,16,18,20,21,24,25,28,29,
31,34,41,43,44,45,68,85,87,93,94,99,103,117,128,129,132,134,135,137,138,140,
141,142,190,192,201,203,276,284,312,457,459,472,473,496,497,544,545,701],[1,2,
3,4,5,6,16,18,19,20,22,25,26,28,29,31,34,38,40,45,67,84,85,87,93,94,99,100,
101,116,131,136,139,142,186,189,202,276,283,311,458,469,471,498,541,542,702],[
1,2,3,5,15,17,19,22,25,26,29,32,38,47,72,84,88,89,91,101,119,150,151,158,178,
207,275,286,319,475,519,531,546,703],[1,2,3,4,5,6,14,15,16,18,20,23,25,27,28,
29,30,31,32,34,39,40,48,75,85,86,87,93,94,95,99,102,120,121,122,152,154,160,
180,208,276,288,320,477,520,533,547,704],[1,2,3,5,6,19,20,22,25,26,29,31,35,
38,40,47,67,69,82,84,85,100,101,104,108,116,156,164,176,178,205,283,293,329,
505,508,523,527,705],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,36,37,38,40,42,49,
67,70,83,84,85,100,101,105,110,116,155,157,163,165,177,179,206,283,294,330,
506,507,509,524,526,528,706],[1,2,3,5,15,19,22,25,26,29,32,35,38,47,69,71,72,
84,89,101,111,119,150,158,176,178,205,277,286,329,450,460,474,531,707],[1,3,4,
5,6,7,13,14,20,22,24,26,27,28,29,30,32,33,36,40,41,49,70,72,73,74,86,92,100,
103,112,123,153,159,177,179,206,278,287,330,451,461,476,532,708],[1,2,3,5,6,
19,20,22,25,26,29,31,35,38,40,44,67,69,71,84,85,100,101,111,116,125,130,133,
138,181,185,200,277,283,321,447,453,456,463,500,709],[1,2,3,4,5,6,7,19,20,22,
24,25,26,28,29,31,33,36,38,40,41,43,45,67,70,73,74,84,85,100,101,103,112,116,
124,126,128,129,134,135,139,140,182,183,188,201,278,283,322,446,448,452,454,
457,462,464,502,710],[1,3,4,5,6,7,20,21,22,24,28,29,33,34,36,40,41,44,45,68,
70,73,74,87,100,103,112,117,125,126,131,132,136,137,141,142,184,191,202,203,
278,284,323,449,455,458,459,465,466,501,503,711],[1,2,3,5,15,19,22,25,26,29,
32,35,38,44,69,72,82,84,89,101,104,108,119,169,181,185,200,286,293,321,467,
490,534,712],[1,3,5,6,7,13,14,20,22,24,26,27,29,30,32,36,37,40,42,43,45,70,72,
83,86,92,100,105,110,123,167,168,182,183,188,201,287,294,322,468,489,491,536,
713],[1,2,3,5,15,19,22,25,26,29,32,35,38,44,47,72,82,84,89,101,104,108,111,
119,130,133,150,156,158,169,178,200,212,286,295,333,456,484,494,505,531,534,
714],[1,2,3,4,5,6,7,14,15,20,23,24,25,27,28,29,30,31,32,33,36,37,39,40,41,42,
43,45,49,75,83,85,86,95,102,103,106,109,110,112,113,120,121,122,128,129,134,
135,153,155,157,159,167,168,179,201,211,213,288,296,335,457,482,483,492,493,
506,532,536,715],[1,2,3,4,5,6,7,15,19,20,22,24,25,26,28,29,31,32,33,36,38,40,
41,45,49,70,72,73,74,80,100,101,103,112,114,116,119,121,134,139,153,157,163,
167,177,182,213,278,298,303,452,461,482,489,528,538,716],[1,3,4,5,6,7,14,20,
22,24,26,28,29,30,32,33,36,39,40,41,43,49,70,72,73,74,81,100,103,112,115,120,
135,140,153,155,165,168,177,183,211,278,297,304,454,461,483,491,526,537,717],[
1,2,3,5,6,15,19,20,22,25,26,29,31,32,35,38,40,44,47,69,71,72,80,100,101,111,
114,116,119,121,133,138,150,156,164,169,176,181,212,277,298,302,453,460,484,
490,527,539,718],[1,2,3,5,6,11,15,20,22,25,26,29,31,32,35,38,40,44,47,71,76,
80,85,89,90,104,108,111,116,119,121,125,130,133,138,150,156,158,164,169,185,
205,212,281,290,324,463,467,474,484,494,508,539,562,719],[1,3,4,5,6,7,12,13,
14,19,24,26,27,28,29,30,32,33,36,37,39,40,41,42,43,45,49,74,78,79,81,84,92,97,
105,106,110,112,113,114,120,123,124,129,135,139,153,155,159,163,167,168,188,
206,211,213,282,289,325,462,468,476,483,493,507,538,564,720],[1,2,3,4,5,6,7,
12,13,14,15,20,24,25,27,28,29,30,31,32,33,36,37,39,40,41,42,43,45,49,74,77,78,
79,85,92,96,105,106,110,112,113,115,121,122,126,128,134,140,153,157,159,165,
167,168,188,206,211,213,282,291,325,464,468,476,482,492,509,537,563,721],[1,2,
4,5,16,19,22,25,28,35,38,45,69,71,73,93,101,111,131,134,139,182,189,268,277,
305,452,471,485,548,722],[1,2,3,4,5,6,7,16,20,22,24,25,28,29,33,36,40,41,43,
44,70,71,73,74,93,100,103,112,128,132,133,135,138,140,181,183,192,268,278,306,
453,454,473,486,487,552,723],[1,3,4,5,6,7,17,18,20,22,24,28,29,33,36,40,41,44,
45,70,73,74,88,94,98,100,103,112,129,130,131,132,136,137,141,142,184,186,187,
190,270,278,307,455,469,470,472,488,549,550,551,724],[1,2,4,5,11,16,22,25,28,
35,38,50,71,73,76,93,104,108,111,144,173,195,268,281,308,480,555,725],[1,3,4,
5,6,7,12,17,18,24,27,28,29,33,36,37,39,40,41,42,51,52,74,78,79,88,94,98,105,
106,110,112,113,145,146,171,172,174,175,193,194,199,270,282,309,478,479,481,
553,554,559,726],[1,2,3,5,6,19,20,21,22,25,26,29,31,38,40,44,67,68,84,85,100,
101,116,125,138,141,200,203,266,283,316,495,497,500,501,727],[1,3,5,6,19,20,
21,23,27,30,32,39,40,46,67,68,86,102,114,115,127,143,204,266,285,318,499,504,
728],[1,4,5,6,7,19,20,21,24,28,34,41,43,45,67,68,87,103,117,124,126,139,140,
142,201,202,266,284,317,496,498,502,503,729],[1,3,4,5,7,17,18,19,24,26,28,29,
33,43,45,74,84,88,91,94,98,124,129,135,136,139,186,188,270,275,326,462,511,
542,549,730],[1,2,3,4,5,6,7,16,17,18,20,24,25,28,29,31,33,34,43,44,45,74,85,
87,88,93,94,98,99,126,128,132,133,134,135,136,137,140,141,187,188,191,192,270,
276,328,464,465,511,512,543,544,550,552,731],[1,2,3,4,5,6,16,18,20,22,25,28,
29,31,34,44,45,71,73,85,87,93,94,99,125,130,131,133,134,136,137,138,142,185,
189,190,191,268,276,327,463,466,510,512,541,545,548,551,732],[1,2,3,4,5,6,11,
15,16,18,20,25,26,28,29,31,32,34,38,40,50,76,80,85,87,89,90,93,94,99,116,119,
121,144,147,173,195,197,276,290,314,513,518,555,556,733],[1,3,5,6,12,13,14,17,
19,26,27,29,30,32,39,40,51,78,81,84,88,91,92,97,114,120,123,146,149,171,194,
198,275,289,313,514,516,553,558,734],[1,2,3,4,5,6,12,13,14,15,16,18,20,25,27,
28,29,30,31,32,34,39,40,52,77,78,85,87,92,93,94,96,99,115,121,122,145,148,172,
193,196,276,291,315,515,517,554,557,735],[1,2,5,7,19,22,24,25,35,36,38,49,69,
70,82,101,104,107,108,157,162,163,177,209,267,293,331,522,528,529,560,736],[1,
3,5,6,7,20,22,24,29,35,36,37,40,42,47,49,69,70,83,100,105,107,110,155,156,161,
162,164,165,176,177,210,267,294,332,521,522,526,527,530,561,737],[1,2,3,5,6,
19,20,22,25,26,29,31,35,38,40,44,47,67,82,84,85,100,101,104,108,111,116,125,
138,150,158,164,169,178,200,212,283,295,333,500,523,531,534,539,562,738],[1,3,
4,5,6,7,20,21,23,24,27,28,33,34,36,37,39,40,41,42,46,48,68,83,87,102,103,106,
109,110,112,113,117,127,143,152,160,166,170,180,204,214,284,296,334,504,525,
533,535,540,565,739],[1,3,4,5,6,7,19,20,23,24,27,28,30,32,33,36,37,39,40,41,
42,43,45,49,67,83,86,102,103,106,109,110,112,113,114,115,124,126,139,140,153,
159,163,165,167,168,179,201,211,213,285,296,335,502,524,532,536,537,538,563,
564,740],[1,5,6,19,20,35,47,67,82,164,178,265,374,523,741],[1,2,5,6,11,19,20,
22,25,38,44,67,76,101,125,138,200,279,378,500,742],[1,3,5,6,12,20,21,22,23,27,
29,39,40,44,46,68,78,100,102,125,127,141,143,203,204,280,379,380,501,504,
743],[1,2,3,5,11,19,22,25,26,29,38,44,47,76,84,101,130,133,150,158,178,200,
279,371,417,456,531,744],[1,3,4,5,6,12,20,22,23,27,28,29,34,39,40,45,48,78,87,
100,102,131,136,152,160,180,202,280,373,418,458,533,745],[1,2,3,5,19,22,25,26,
29,35,38,44,69,82,84,101,104,108,130,133,169,200,293,369,378,456,534,746],[1,
3,4,5,6,7,20,22,24,28,29,34,36,37,40,42,45,46,70,83,87,100,105,110,131,136,
170,202,204,294,370,379,458,535,747],[1,3,4,5,6,7,20,22,24,28,29,36,37,40,42,
43,44,70,73,83,100,105,110,132,135,140,181,183,294,375,398,454,487,748],[1,2,
4,5,19,22,25,28,35,38,45,69,73,82,101,104,108,131,134,139,182,293,376,397,452,
485,749],[1,2,3,5,6,7,20,22,24,25,29,36,37,40,42,43,44,70,71,83,100,105,110,
128,133,138,181,183,294,377,398,453,486,750],[1,3,5,6,14,20,22,26,29,30,32,35,
39,40,44,47,69,72,81,100,115,120,125,130,156,164,169,176,181,297,375,382,400,
447,490,527,751],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,36,38,40,45,49,70,
72,80,100,101,114,116,119,121,126,129,157,163,167,177,182,298,376,381,401,446,
489,528,752],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,36,38,40,43,49,70,72,
80,100,101,114,116,119,121,124,128,155,165,168,177,183,298,377,383,399,448,
491,526,753],[1,2,3,5,19,22,25,26,29,35,38,44,47,82,84,101,104,108,111,130,
133,150,158,169,178,200,295,371,378,419,456,531,534,754],[1,3,4,5,6,7,20,23,
24,27,28,33,34,36,37,39,40,41,42,44,46,48,83,87,102,103,106,109,110,112,113,
132,137,152,160,170,180,203,204,296,372,380,420,459,533,535,755],[1,2,4,5,16,
19,22,25,28,35,38,45,50,69,82,93,101,104,108,131,139,173,189,195,293,386,387,
471,480,756],[1,3,4,5,6,7,18,20,22,24,28,29,36,37,40,42,45,51,70,83,94,100,
105,110,131,142,175,186,194,294,384,389,469,478,757],[1,3,5,6,7,17,20,22,24,
29,36,37,40,42,44,52,70,83,88,100,105,110,130,141,174,187,193,294,385,388,470,
479,758],[1,2,3,5,7,15,19,22,24,25,26,29,32,36,38,43,49,70,72,84,89,101,119,
157,159,163,168,177,183,286,383,396,399,451,491,528,759],[1,3,5,6,7,13,14,20,
22,24,26,27,29,30,32,36,40,45,49,70,72,86,92,100,123,155,159,165,167,177,182,
287,381,396,401,451,489,526,760],[1,3,5,6,13,14,20,22,26,27,29,30,32,35,40,44,
47,69,72,86,92,100,123,156,158,164,169,176,181,287,382,394,400,450,490,527,
761],[1,5,6,19,20,21,35,47,67,68,82,164,178,266,433,523,762],[1,5,6,7,19,20,
21,36,37,48,49,67,68,83,163,165,166,179,180,266,434,435,524,525,763],[1,2,3,5,
6,12,20,22,23,25,27,29,39,40,44,71,78,100,102,133,138,181,280,375,453,764],[1,
3,4,5,6,12,20,22,23,27,28,29,39,40,43,73,78,100,102,135,140,183,280,377,454,
765],[1,2,4,5,11,19,22,25,28,38,45,73,76,101,134,139,182,279,376,452,766],[1,
2,3,5,12,14,22,25,26,32,47,71,72,97,150,176,269,394,460,767],[1,3,4,5,12,14,
22,26,28,32,49,72,73,97,153,177,269,396,461,768],[1,2,3,4,5,16,22,25,26,28,32,
47,49,71,72,73,93,150,153,176,177,268,393,395,460,461,769],[1,3,4,5,6,13,14,
20,22,26,27,28,29,30,32,40,43,49,72,73,86,92,100,123,135,140,153,177,183,287,
383,411,454,461,770],[1,2,3,5,6,13,14,20,22,25,26,27,29,30,32,40,44,47,71,72,
86,92,100,123,133,138,150,176,181,287,382,412,453,460,771],[1,2,3,4,5,15,19,
22,25,26,28,29,32,38,45,49,72,73,84,89,101,119,134,139,153,177,182,286,381,
413,452,461,772],[1,3,5,6,7,13,14,20,22,24,26,27,29,30,32,36,40,43,45,70,72,
86,92,100,123,126,129,168,182,183,287,377,403,446,491,773],[1,3,5,6,13,14,20,
22,26,27,29,30,32,35,40,44,69,72,86,92,100,123,125,130,169,181,287,375,402,
447,490,774],[1,2,3,5,7,15,19,22,24,25,26,29,32,36,38,43,45,70,72,84,89,101,
119,124,128,167,182,183,286,376,403,448,489,775],[1,2,3,5,6,14,20,22,25,26,29,
30,32,39,40,44,47,71,72,81,100,115,120,133,138,150,176,181,297,400,402,453,
460,776],[1,2,3,4,5,6,15,19,20,22,25,26,28,29,31,32,38,40,43,45,49,72,73,80,
100,101,114,116,119,121,134,135,139,140,153,177,182,183,298,399,401,403,452,
454,461,777],[1,3,5,12,14,22,26,32,35,44,47,69,72,97,158,169,176,181,269,382,
402,450,490,778],[1,3,5,7,12,14,22,24,26,32,36,43,45,49,70,72,97,159,167,168,
177,182,183,269,381,383,403,451,489,491,779],[1,2,4,5,11,16,19,22,25,28,38,45,
50,76,93,101,131,139,144,173,189,195,279,386,410,471,555,780],[1,3,4,5,6,12,
18,20,22,23,27,28,29,39,40,45,52,78,94,100,102,131,142,145,172,186,193,280,
385,409,469,554,781],[1,3,5,6,12,17,20,22,23,27,29,39,40,44,51,78,88,100,102,
130,141,146,171,187,194,280,384,408,470,553,782],[1,2,4,5,11,16,22,25,28,35,
38,45,50,71,76,93,104,108,111,131,134,144,173,189,195,281,387,404,410,480,548,
555,783],[1,3,4,5,6,7,12,18,24,27,28,29,33,36,37,39,40,41,42,44,51,52,74,78,
79,94,105,106,110,112,113,132,137,145,172,175,187,193,194,282,388,406,408,478,
550,554,784],[1,3,4,5,6,7,12,17,24,27,28,29,33,36,37,39,40,41,42,45,51,52,74,
78,79,88,105,106,110,112,113,129,136,146,171,174,186,193,194,282,389,406,409,
479,549,553,785],[1,3,5,6,14,17,20,22,26,29,30,32,39,40,47,51,72,81,91,100,
115,120,149,151,158,171,198,207,297,392,405,475,558,786],[1,2,3,4,5,6,13,14,
15,16,18,20,23,26,27,30,31,32,34,38,39,40,48,50,52,75,77,80,81,99,102,115,116,
122,123,147,148,154,160,172,173,196,197,208,299,390,391,407,477,556,557,787],[
1,2,3,5,6,15,19,20,22,25,26,29,32,38,44,67,72,84,89,101,119,125,138,141,200,
286,378,421,495,500,788],[1,3,5,6,13,14,20,21,22,26,27,29,30,32,40,44,46,68,
72,86,92,100,123,125,141,143,203,204,287,379,423,499,501,789],[1,2,3,5,6,14,
15,20,21,23,25,27,29,30,31,32,39,40,44,46,68,75,85,86,95,102,120,121,122,127,
138,141,143,203,204,288,380,422,423,497,499,504,790],[1,2,3,5,15,19,22,25,26,
29,32,38,44,47,72,84,89,101,119,130,133,151,178,200,286,417,436,456,519,791],[
1,3,4,5,6,13,14,20,22,26,27,28,29,30,32,34,40,45,48,72,86,87,92,100,123,131,
136,154,180,202,287,418,437,458,520,792],[1,3,5,17,19,26,29,35,44,47,82,84,88,
91,156,169,178,200,275,421,436,505,534,793],[1,2,3,4,5,6,7,16,18,20,25,28,29,
31,34,36,37,46,49,83,85,87,93,94,99,155,157,170,179,204,276,422,438,506,535,
794],[1,2,3,4,5,6,7,16,18,20,25,28,29,31,34,36,42,49,51,85,87,93,94,99,105,
157,165,175,194,206,276,425,427,478,509,795],[1,2,3,4,5,6,16,18,20,25,28,29,
31,34,35,38,47,50,85,87,93,94,99,104,156,164,173,195,205,276,424,429,480,508,
796],[1,3,5,7,17,19,26,29,36,42,49,52,84,88,91,105,155,163,174,193,206,275,
426,428,479,507,797],[1,2,5,7,11,19,22,24,25,36,38,43,49,70,76,101,124,128,
157,163,177,183,279,399,413,448,528,798],[1,3,5,6,12,20,22,23,27,29,35,39,40,
44,47,69,78,100,102,125,130,156,164,176,181,280,400,412,447,527,799],[1,3,5,6,
7,12,20,22,23,24,27,29,36,39,40,45,49,70,78,100,102,126,129,155,165,177,182,
280,401,411,446,526,800],[1,3,5,6,14,20,22,26,29,30,32,35,39,40,47,69,72,81,
100,115,120,156,158,164,176,297,394,412,450,527,801],[1,2,3,5,6,7,15,19,20,22,
24,25,26,29,31,32,36,38,40,49,70,72,80,100,101,114,116,119,121,155,157,159,
163,165,177,298,396,411,413,451,526,528,802],[1,3,5,7,22,24,26,32,35,36,45,47,
69,70,72,107,158,167,176,182,267,397,414,450,489,803],[1,3,5,7,22,24,26,32,35,
36,43,44,49,69,70,72,107,159,168,169,177,181,183,267,398,415,416,451,490,491,
804],[1,3,4,5,6,7,20,22,24,28,29,33,35,36,40,41,45,47,49,69,70,73,74,100,103,
112,131,156,162,164,176,177,182,278,395,401,414,485,522,527,805],[1,3,4,5,6,7,
20,22,24,28,29,33,36,40,41,44,47,49,70,73,74,100,103,112,132,155,161,165,176,
177,181,278,395,400,415,487,521,526,806],[1,2,5,7,19,22,24,25,35,36,38,43,49,
69,70,71,101,111,128,157,162,163,177,183,277,393,399,416,486,522,528,807],[1,
3,5,6,7,20,22,24,29,35,36,37,40,42,44,49,69,70,83,100,105,110,125,130,162,177,
181,294,411,415,447,522,808],[1,3,5,6,7,20,22,24,29,36,37,40,42,45,47,70,83,
100,105,110,126,129,161,176,182,294,412,414,446,521,809],[1,2,5,7,19,22,24,25,
35,36,38,43,49,69,70,82,101,104,108,124,128,162,177,183,293,413,416,448,522,
810],[1,2,5,6,19,20,22,25,35,38,44,47,67,82,101,104,108,111,125,138,164,178,
200,295,369,371,500,523,811],[1,3,4,5,6,7,20,21,23,24,27,28,33,36,37,39,40,41,
42,45,46,48,68,83,102,103,106,109,110,112,113,126,127,142,143,166,180,202,204,
296,370,372,373,503,504,525,812],[1,2,3,5,19,22,25,26,29,35,38,47,82,84,101,
104,108,111,150,156,158,178,295,374,417,505,531,813],[1,3,5,19,26,29,35,44,47,
82,84,156,169,178,200,265,369,419,505,534,814],[1,2,3,5,19,22,25,26,29,35,38,
44,47,69,82,84,101,104,108,150,156,158,169,178,200,293,371,374,419,505,531,
534,815],[1,2,5,6,19,20,22,25,35,38,44,47,67,69,82,101,104,108,125,138,164,
178,200,293,417,419,500,523,816],[1,3,5,6,7,20,21,22,24,29,36,37,40,42,44,48,
68,70,83,100,105,110,125,141,166,180,203,294,418,420,501,525,817],[1,5,7,19,
35,36,49,82,107,162,163,209,265,445,560,818],[1,3,4,5,6,13,14,18,20,22,26,27,
28,29,30,32,40,45,52,72,86,92,94,100,123,131,142,148,186,193,287,385,441,469,
515,819],[1,3,5,6,13,14,17,20,22,26,27,29,30,32,40,44,51,72,86,88,92,100,123,
130,141,149,187,194,287,384,440,470,514,820],[1,2,3,4,5,15,16,19,22,25,26,28,
29,32,38,45,50,72,84,89,93,101,119,131,139,147,189,195,286,386,439,471,513,
821],[1,2,3,4,5,15,16,22,25,26,28,47,50,71,73,89,93,147,150,158,195,205,268,
404,429,474,513,822],[1,3,4,5,7,13,14,17,18,24,28,29,32,33,49,51,52,74,88,92,
94,98,148,149,153,159,193,194,206,270,406,427,428,476,514,515,823],[1,3,5,12,
14,17,22,26,32,47,51,72,91,97,146,149,151,158,198,207,269,405,430,475,516,
824],[1,2,3,4,6,11,12,13,15,16,18,23,30,31,34,48,50,52,75,90,96,99,144,145,
147,148,154,160,196,197,208,271,407,431,432,477,517,518,825],[1,2,3,4,5,6,11,
15,16,20,25,26,28,29,31,32,38,40,45,50,76,80,85,89,90,93,116,119,121,136,142,
144,147,173,189,195,290,410,424,439,513,541,555,826],[1,2,3,5,6,12,13,14,15,
17,20,25,27,29,30,31,32,39,40,44,51,77,78,85,88,92,96,115,121,122,133,141,146,
149,171,187,194,291,408,425,440,514,543,553,827],[1,3,4,5,6,12,13,14,18,19,26,
27,28,29,30,32,39,40,45,52,78,81,84,92,94,97,114,120,123,136,139,145,148,172,
186,193,289,409,426,441,515,542,554,828],[1,2,3,4,5,6,12,13,14,15,16,18,26,27,
29,30,31,32,34,38,40,48,50,52,80,92,95,96,97,99,118,119,120,123,145,147,148,
152,154,173,196,197,208,273,391,432,443,517,547,556,829],[1,2,3,5,6,12,13,14,
15,17,25,26,27,30,31,32,39,40,47,51,81,89,91,95,96,97,118,121,122,123,146,149,
150,151,171,198,207,274,392,430,442,516,546,558,830],[1,2,3,4,6,11,13,14,15,
16,18,27,30,31,34,39,48,50,52,77,90,95,99,118,122,144,147,148,152,154,172,196,
197,208,272,390,431,443,518,547,557,831],[1,2,3,5,6,19,20,22,25,26,29,31,38,
40,44,47,67,84,85,100,101,116,141,150,151,158,178,200,283,371,433,436,495,519,
531,832],[1,3,4,5,6,19,20,23,27,28,30,32,34,39,40,45,48,67,86,87,102,114,115,
139,142,152,154,160,180,202,285,373,434,437,498,520,533,833],[1,3,4,5,6,7,20,
21,24,27,28,30,32,34,41,46,48,49,68,86,87,103,117,143,153,154,159,179,180,204,
284,372,435,438,499,520,532,834],[1,2,5,7,19,22,25,35,36,38,49,82,101,104,107,
108,111,157,162,163,209,295,444,445,529,560,835],[1,3,5,19,26,29,35,47,82,84,
151,156,178,345,505,519,836],[1,3,5,6,19,20,26,29,35,44,47,67,82,84,141,151,
164,169,178,200,347,495,519,523,534,837],[1,3,4,5,6,7,20,21,27,28,30,32,34,36,
37,43,45,46,48,68,83,86,87,140,142,143,154,166,167,168,170,180,201,204,351,
496,499,520,525,535,536,838],[1,3,5,7,22,24,26,32,35,36,47,49,69,70,72,158,
159,161,162,176,177,346,450,451,521,522,839],[1,2,3,5,7,22,24,25,26,32,36,43,
47,70,71,72,128,150,161,168,176,183,352,460,486,491,521,840],[1,3,4,5,7,22,24,
26,28,32,35,36,44,45,49,69,70,72,73,131,132,153,162,167,169,177,181,182,355,
461,485,487,489,490,522,841],[1,2,3,4,5,15,16,25,26,28,35,38,44,50,89,93,104,
137,147,169,173,185,195,357,467,480,510,513,842],[1,3,4,5,7,13,14,17,18,28,29,
32,36,42,43,45,51,52,88,92,94,105,135,136,148,149,167,168,174,175,188,193,194,
360,468,478,479,511,514,515,843],[1,2,5,19,22,25,35,38,45,69,71,101,111,182,
189,277,305,376,397,844],[1,3,4,5,6,7,20,22,24,28,29,33,36,40,41,43,44,70,73,
74,100,103,112,181,183,192,278,306,375,377,398,845],[1,2,3,5,15,19,22,25,26,
29,32,38,44,47,72,84,89,101,119,176,181,212,286,302,382,394,402,846],[1,3,5,6,
13,14,20,22,26,27,29,30,32,40,43,45,49,72,86,92,100,123,177,182,183,211,213,
287,303,304,381,383,396,403,847],[1,2,5,19,22,25,35,38,50,69,71,101,111,195,
277,308,386,404,848],[1,3,4,5,6,7,20,22,24,28,29,33,36,40,41,51,52,70,73,74,
100,103,112,193,194,199,278,309,384,385,406,849],[1,2,5,11,22,25,35,38,45,50,
71,76,104,108,111,182,189,195,281,305,308,387,410,850],[1,3,4,5,6,7,12,24,27,
28,29,33,36,37,39,40,41,42,44,45,51,52,74,78,79,105,106,110,112,113,184,186,
187,190,193,194,199,282,307,309,388,389,408,409,851],[1,2,3,5,6,15,19,20,22,
25,26,29,31,32,38,40,43,45,49,72,80,100,101,114,116,119,121,177,182,183,188,
201,213,298,303,322,376,381,399,403,852],[1,2,3,5,6,15,19,20,22,25,26,29,31,
32,38,40,44,47,72,80,100,101,114,116,119,121,176,181,185,200,212,298,302,321,
375,382,400,402,853],[1,3,5,6,14,20,22,26,29,30,32,39,40,43,45,49,72,81,100,
115,120,177,182,183,188,201,211,297,304,322,377,383,401,403,854],[1,2,3,5,6,
19,20,22,25,26,29,31,38,40,44,67,84,85,100,101,116,200,203,283,316,378,421,
855],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,46,67,84,85,100,101,116,204,283,
318,379,422,856],[1,3,5,6,19,20,23,27,30,32,39,40,44,46,67,86,102,114,115,200,
203,204,285,316,318,380,423,857],[1,2,3,5,15,19,22,25,26,29,32,38,44,47,72,84,
89,101,119,178,187,200,207,286,310,319,371,436,858],[1,2,3,5,6,14,15,20,23,25,
27,29,30,31,32,39,40,45,48,75,85,86,95,102,120,121,122,180,186,189,202,208,
288,311,320,373,437,859],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,51,67,84,85,
100,101,116,194,198,283,313,384,425,860],[1,2,3,5,6,19,20,22,25,26,29,31,38,
40,50,67,84,85,100,101,116,195,197,283,314,386,424,861],[1,2,3,5,6,19,20,22,
25,26,29,31,38,40,52,67,84,85,100,101,116,193,196,283,315,385,426,862],[1,2,3,
5,6,12,13,14,15,20,25,27,29,30,31,32,39,40,48,50,77,78,85,92,96,115,121,122,
180,195,197,208,291,314,320,390,432,863],[1,3,5,6,12,13,14,19,26,27,29,30,32,
39,40,47,51,78,81,84,92,97,114,120,123,178,194,198,207,289,313,319,392,430,
864],[1,2,3,5,6,11,15,20,25,26,29,31,32,38,40,48,52,76,80,85,89,90,116,119,
121,180,193,196,208,290,315,320,391,431,865],[1,2,3,5,6,19,20,22,25,26,29,31,
38,40,47,67,84,85,100,101,116,178,207,283,319,417,433,866],[1,2,3,5,6,19,20,
22,25,26,29,31,38,40,48,67,84,85,100,101,116,180,208,283,320,418,434,867],[1,
2,5,19,22,25,35,38,49,69,71,101,111,177,209,277,331,393,413,868],[1,3,4,5,6,7,
20,22,24,28,29,33,36,40,41,47,49,70,73,74,100,103,112,176,177,210,278,332,395,
411,412,869],[1,2,5,19,22,25,35,38,43,49,69,82,101,104,108,177,183,209,293,
300,331,399,416,870],[1,3,5,6,7,20,22,24,29,36,37,40,42,44,45,47,49,70,83,100,
105,110,176,177,181,182,184,210,294,301,332,400,401,414,415,871],[1,2,5,19,22,
25,35,38,44,47,69,71,101,111,178,200,212,277,333,371,378,417,872],[1,3,4,5,6,
7,20,22,24,28,29,33,36,40,41,46,48,70,73,74,100,103,112,180,204,214,278,334,
372,379,418,873],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,43,49,67,84,85,100,101,
116,177,183,211,283,304,377,399,411,874],[1,2,3,5,6,19,20,22,25,26,29,31,38,
40,44,47,67,84,85,100,101,116,176,181,212,283,302,375,400,412,875],[1,2,3,5,6,
19,20,22,25,26,29,31,38,40,45,49,67,84,85,100,101,116,177,182,213,283,303,376,
401,413,876],[1,2,3,5,6,15,19,20,22,25,26,29,31,32,38,40,44,47,72,80,100,101,
114,116,119,121,176,178,181,205,212,298,302,329,382,394,400,412,877],[1,3,5,6,
14,20,22,26,29,30,32,39,40,45,49,72,81,100,115,120,177,179,182,206,213,297,
303,330,381,396,401,411,878],[1,2,3,5,6,15,19,20,22,25,26,29,31,32,38,40,43,
49,72,80,100,101,114,116,119,121,177,179,183,206,211,298,304,330,383,396,399,
413,879],[1,2,5,19,22,25,35,38,44,47,82,101,104,108,111,178,181,185,200,212,
295,321,333,369,371,378,419,880],[1,3,4,5,6,7,20,23,24,27,28,33,36,37,39,40,
41,42,44,45,46,48,83,102,103,106,109,110,112,113,180,184,191,202,203,204,214,
296,323,334,370,373,380,420,881],[1,2,5,19,22,25,35,38,44,47,69,82,101,104,
108,178,200,212,293,333,369,374,419,882],[1,2,5,19,22,25,35,38,44,47,82,101,
104,108,111,176,178,200,205,212,295,329,333,371,374,417,419,883],[1,2,3,5,6,
11,15,20,25,26,29,31,32,38,40,45,50,76,80,85,89,90,116,119,121,186,189,195,
197,202,290,311,314,410,439,884],[1,3,5,6,12,13,14,19,26,27,29,30,32,39,40,44,
51,78,81,84,92,97,114,120,123,187,194,198,200,289,310,313,408,440,885],[1,2,3,
5,6,12,13,14,15,20,25,27,29,30,31,32,39,40,45,52,77,78,85,92,96,115,121,122,
186,189,193,196,202,291,311,315,409,441,886],[1,2,3,5,15,19,22,25,26,29,32,38,
51,72,84,89,101,119,194,198,286,313,405,442,887],[1,2,3,5,6,14,15,20,23,25,27,
29,30,31,32,39,40,50,52,75,85,86,95,102,120,121,122,193,195,196,197,288,314,
315,407,443,888],[1,2,5,19,22,25,35,38,49,69,82,101,104,108,177,209,293,331,
444,445,889],[1,2,5,11,19,22,25,38,44,47,76,101,176,178,181,185,200,205,212,
279,302,321,324,329,333,890],[1,3,5,6,12,20,22,23,27,29,39,40,43,45,49,78,100,
102,177,179,182,183,188,201,206,211,213,280,303,304,322,325,330,335,891],[1,5,
19,35,44,47,82,178,200,345,348,419,892],[1,5,19,35,44,47,82,178,200,347,348,
364,369,374,419,893],[1,3,5,22,26,32,44,45,49,72,177,181,182,354,355,362,381,
396,402,894],[1,3,5,22,26,32,43,45,47,49,72,176,177,182,183,352,356,361,363,
383,394,403,895],[1,3,5,22,26,32,43,44,45,47,49,72,176,177,181,182,183,353,
355,361,363,382,396,403,896],[1,3,5,22,26,32,43,44,45,47,49,72,176,177,181,
182,183,346,353,354,356,381,382,383,897],[1,3,5,17,22,26,32,35,47,69,72,91,
151,158,176,207,215,450,475,583,898],[1,3,5,6,17,20,21,22,29,35,40,44,68,69,
88,100,125,130,141,181,187,203,216,447,470,501,573,899],[1,3,4,5,6,7,18,20,21,
22,24,28,29,36,40,41,44,45,68,70,94,100,103,125,126,129,131,132,141,142,182,
184,186,190,202,203,218,446,449,469,472,501,503,570,571,572,900],[1,2,4,5,6,7,
16,19,20,22,24,25,28,36,38,41,43,44,45,67,70,93,101,103,124,125,126,128,131,
132,138,139,140,183,184,189,192,200,201,217,448,449,471,473,500,502,569,574,
575,901],[1,2,3,4,5,7,16,19,22,24,25,26,28,29,33,36,38,43,44,45,70,74,84,93,
101,124,128,129,130,131,132,133,135,139,183,184,188,189,192,200,217,448,456,
462,471,488,552,569,576,580,902],[1,3,4,5,6,7,17,20,22,24,28,29,33,34,36,40,
44,45,70,74,87,88,100,126,129,130,131,132,136,141,182,184,186,187,191,202,218,
446,458,465,470,488,549,571,578,582,903],[1,3,4,5,6,18,20,22,28,29,34,35,40,
44,45,69,73,87,94,100,125,130,131,136,137,142,181,182,186,190,191,202,218,447,
458,466,469,485,551,572,581,582,904],[1,2,3,4,5,6,7,16,20,22,24,25,28,29,31,
33,36,41,43,44,45,70,71,74,85,93,103,125,126,128,129,130,131,132,133,134,135,
138,140,183,184,185,188,189,192,201,217,449,457,463,464,473,486,488,548,552,
574,575,576,579,580,905],[1,3,4,5,6,7,18,20,22,24,28,29,33,34,36,41,44,45,70,
73,74,87,94,103,125,126,129,130,131,132,136,137,141,142,181,184,187,190,191,
203,216,218,449,459,465,466,472,487,488,550,551,570,573,577,578,581,906],[1,3,
4,5,6,18,20,21,22,28,29,34,40,43,44,45,68,73,87,94,100,125,131,135,137,140,
141,142,183,186,191,192,201,203,217,454,466,469,496,501,544,575,585,588,907],[
1,2,4,5,6,16,19,20,22,25,28,34,38,44,45,67,73,87,93,101,125,131,134,137,138,
139,142,182,189,190,191,200,202,218,452,466,471,498,500,545,572,589,590,908],[
1,2,3,5,6,17,20,21,22,25,29,31,40,44,68,71,85,88,100,125,130,133,138,141,181,
185,187,203,216,453,463,470,497,501,543,573,587,909],[1,2,3,4,5,6,7,16,20,21,
24,25,28,29,31,33,34,41,43,44,45,68,74,85,87,93,103,126,128,132,134,136,137,
138,140,141,142,184,188,189,190,191,192,201,202,203,217,218,455,464,465,473,
496,497,503,541,545,570,574,584,585,586,590,910],[1,3,4,5,6,7,18,19,20,24,26,
28,29,33,34,41,43,44,45,67,74,84,87,94,103,124,126,129,132,135,136,137,139,
140,141,142,184,186,188,190,191,192,200,201,202,217,218,455,462,465,472,495,
498,502,542,544,569,571,584,586,588,589,911],[1,2,3,5,15,17,22,25,26,32,47,71,
72,89,91,150,151,158,176,205,207,215,460,474,475,546,583,593,912],[1,3,5,7,19,
26,29,35,36,42,47,49,82,84,105,107,155,156,161,162,163,178,206,209,210,219,
505,507,530,560,592,594,913],[1,2,3,5,6,7,20,25,29,31,35,36,37,38,42,47,49,83,
85,104,105,107,155,156,157,161,162,164,165,179,205,206,209,210,219,506,508,
509,529,530,561,591,592,595,914],[1,5,6,7,19,20,35,36,37,47,49,67,82,83,107,
161,162,163,164,165,178,179,209,210,219,523,524,560,561,594,595,915],[1,3,4,5,
6,17,18,20,22,28,29,34,40,43,44,45,73,87,88,94,100,130,131,135,136,137,140,
141,183,187,188,190,192,202,217,454,458,470,511,544,551,567,576,586,916],[1,2,
3,4,5,16,18,19,22,25,26,28,29,38,44,45,73,84,93,94,101,130,131,133,134,136,
137,139,182,186,189,190,191,200,218,452,456,471,512,542,551,568,582,589,917],[
1,2,3,4,5,6,16,18,20,22,25,28,29,34,40,44,45,71,87,93,94,100,131,133,134,136,
137,138,142,181,186,189,190,191,202,218,453,458,469,512,545,548,568,581,590,
918],[1,2,3,4,5,6,7,16,18,20,24,25,28,29,33,34,41,43,44,45,74,87,93,94,103,
128,132,133,134,135,136,137,138,140,141,142,184,185,187,190,191,192,203,216,
217,455,459,473,510,512,544,545,550,552,566,567,577,579,585,587,919],[1,2,3,4,
5,6,7,16,17,18,20,24,25,28,29,31,33,41,43,44,45,74,85,88,93,94,103,128,129,
132,133,134,135,136,137,141,142,184,186,187,188,189,190,191,192,201,217,218,
455,457,472,511,512,541,543,549,552,567,568,578,580,584,588,920],[1,2,5,19,22,
25,38,44,47,101,178,181,185,200,321,347,348,378,417,921],[1,3,5,6,20,22,29,40,
43,45,46,48,100,180,182,183,188,201,204,322,350,351,379,418,922],[1,3,5,6,20,
22,29,40,43,45,47,100,176,182,183,188,201,322,352,356,377,412,923],[1,3,5,6,
20,22,29,40,43,44,45,49,100,177,181,182,183,188,201,322,353,355,375,411,924],[
1,2,5,19,22,25,38,44,45,49,101,177,181,182,185,200,321,354,355,376,413,925],[
1,2,5,19,22,25,38,43,47,49,101,176,177,178,183,205,329,346,352,363,399,926],[
1,3,5,6,20,22,29,40,44,45,47,49,100,176,177,179,181,182,206,330,346,355,361,
362,400,401,927],[1,2,5,19,22,25,38,44,50,101,181,185,195,200,321,357,358,386,
928],[1,3,5,6,20,22,29,40,43,45,51,52,100,182,183,188,193,194,201,322,359,360,
384,385,929],[1,2,5,19,22,25,38,44,47,101,176,178,200,205,329,345,347,364,371,
930],[1,2,4,5,16,19,22,25,28,38,44,45,93,101,131,137,139,181,185,189,190,191,
200,218,321,327,341,471,510,581,589,931],[1,3,4,5,6,17,18,20,22,28,29,40,43,
44,45,88,94,100,130,131,135,136,141,142,182,183,186,187,188,191,192,201,217,
218,322,326,328,342,469,470,511,576,582,584,588,932],[1,2,3,4,5,6,7,16,18,20,
24,25,28,29,41,43,44,45,93,94,103,128,129,132,133,134,136,137,138,140,141,142,
184,185,187,188,189,190,191,192,202,203,216,217,218,323,327,328,343,472,473,
512,577,578,579,580,585,586,587,590,933],[1,2,3,4,5,6,16,20,22,25,28,29,31,44,
45,71,85,93,125,130,131,133,134,136,138,142,182,185,186,189,190,191,202,218,
305,311,327,341,463,541,548,568,572,582,590,934],[1,2,3,4,5,6,7,17,20,24,25,
28,29,31,33,43,44,45,74,85,88,126,128,129,133,134,136,140,141,184,186,187,188,
189,190,202,217,218,307,311,326,342,464,543,549,568,571,580,586,935],[1,3,4,5,
7,18,19,24,26,28,29,33,43,44,45,74,84,94,124,129,132,135,136,137,139,184,186,
187,188,190,191,192,200,217,218,307,310,328,342,462,542,550,567,569,578,589,
936],[1,3,4,5,6,18,20,22,28,29,34,43,44,45,73,87,94,125,130,131,135,136,137,
140,141,142,181,183,187,188,190,191,192,201,203,216,217,218,306,312,328,343,
466,544,551,566,567,573,575,576,581,584,585,937],[1,2,3,4,5,6,7,16,20,24,25,
28,29,33,34,43,44,45,74,87,93,126,128,132,133,134,135,136,137,138,141,142,184,
185,186,187,189,190,191,192,201,203,216,217,218,307,312,327,343,465,545,552,
567,568,570,574,577,579,587,588,938],[1,2,3,5,19,22,25,26,29,38,47,84,101,150,
151,158,176,178,205,207,215,319,329,336,519,531,583,593,939],[1,2,3,5,6,19,20,
22,25,26,29,38,44,67,84,101,125,130,133,138,141,181,185,187,200,203,216,310,
316,321,337,456,495,500,573,587,940],[1,3,4,5,6,20,21,22,28,29,34,40,43,44,45,
68,87,100,125,131,136,140,141,142,182,183,188,190,192,201,202,203,217,218,312,
317,322,338,458,496,501,572,575,584,586,941],[1,4,5,6,7,19,20,24,28,34,41,43,
44,45,67,87,103,124,126,132,137,139,140,142,184,190,191,192,200,201,202,203,
217,218,312,316,323,338,459,498,502,569,570,585,589,942],[1,2,3,4,5,6,7,20,21,
24,25,28,29,31,41,43,44,45,68,85,103,126,128,129,134,135,138,141,142,184,186,
189,191,201,202,203,217,218,311,317,323,338,457,497,503,571,574,588,590,943],[
1,3,4,5,6,20,22,28,29,35,40,43,44,45,69,73,100,125,130,131,135,140,181,182,
183,188,192,201,217,300,306,322,339,447,454,485,575,576,944],[1,2,4,5,7,19,22,
24,25,28,36,38,43,44,45,70,73,101,124,128,132,134,139,181,182,183,184,185,192,
200,217,301,306,321,339,448,452,487,569,579,945],[1,2,3,5,6,7,20,22,24,25,29,
36,40,43,44,45,70,71,100,126,128,129,133,138,181,182,183,184,188,189,201,217,
301,305,322,339,446,453,486,574,580,946],[1,3,4,5,6,7,20,22,24,28,29,33,36,41,
44,45,70,74,103,125,126,129,130,131,132,136,137,141,142,181,182,184,186,187,
190,191,202,203,216,218,301,307,323,340,449,455,488,570,571,572,573,577,578,
581,582,947],[1,2,5,7,19,22,24,25,36,38,47,49,70,101,157,161,163,176,177,178,
205,210,219,329,332,344,521,528,591,594,948],[1,3,5,6,7,20,22,24,29,35,36,40,
47,49,69,70,100,155,156,162,164,165,176,177,179,206,209,210,219,330,331,332,
344,522,526,527,592,595,949],[1,2,3,5,19,22,25,26,29,38,44,47,84,101,130,133,
176,178,200,205,329,348,378,436,456,950],[1,3,4,5,6,20,22,28,29,34,40,45,46,
49,87,100,131,136,177,179,202,204,206,330,349,379,438,458,951],[1,3,5,19,26,
29,35,44,47,82,84,156,178,187,200,310,348,369,421,505,952],[1,2,3,5,6,7,20,25,
29,31,36,37,45,46,49,83,85,155,157,179,186,189,202,204,311,349,370,422,506,
953],[1,2,3,5,19,22,25,26,29,38,44,47,84,101,150,158,178,181,185,200,321,348,
364,371,421,436,531,954],[1,3,4,5,6,7,20,24,27,28,30,32,41,44,45,46,48,49,86,
103,153,159,179,180,184,191,202,203,204,323,349,365,372,423,437,532,955],[1,3,
5,7,19,26,29,36,42,44,49,52,84,105,155,163,187,193,200,206,310,367,388,426,
507,956],[1,2,3,5,6,7,20,25,29,31,36,42,45,49,51,85,105,157,165,186,189,194,
202,206,311,366,389,425,509,957],[1,2,3,5,6,20,25,29,31,35,38,45,47,50,85,104,
156,164,186,189,195,202,205,311,368,387,424,508,958],[1,2,4,5,16,19,22,25,28,
38,45,47,50,93,101,131,139,176,178,189,195,205,329,368,386,429,471,959],[1,3,
4,5,6,18,20,22,28,29,40,45,49,51,94,100,131,142,177,179,186,194,206,330,366,
384,427,469,960],[1,3,5,6,17,20,22,29,40,44,49,52,88,100,130,141,177,179,187,
193,206,330,367,385,428,470,961],[1,3,5,6,20,22,29,35,40,43,44,49,69,100,125,
130,177,179,181,183,206,330,353,377,416,447,962],[1,2,5,7,19,22,24,25,36,38,
43,45,47,70,101,124,128,176,178,182,183,205,329,356,376,414,448,963],[1,3,5,6,
7,20,22,24,29,36,40,44,45,49,70,100,126,129,177,179,181,182,206,330,354,375,
415,446,964],[1,3,4,5,6,20,22,28,29,40,43,47,49,73,100,135,140,176,177,179,
183,206,330,363,395,412,454,965],[1,2,4,5,19,22,25,28,38,45,47,49,73,101,134,
139,176,177,178,182,205,329,361,395,413,452,966],[1,2,3,5,6,20,22,25,29,40,44,
49,71,100,133,138,177,179,181,206,330,362,393,411,453,967],[1,3,5,7,22,24,26,
32,36,43,45,47,49,70,72,168,176,177,182,183,210,332,356,363,381,394,414,491,
968],[1,3,5,7,22,24,26,32,36,44,45,47,49,70,72,167,176,177,181,182,210,332,
354,361,382,396,415,489,969],[1,3,5,22,26,32,35,43,44,49,69,72,169,177,181,
183,209,331,353,362,383,396,416,490,970],[1,2,5,7,19,22,24,25,36,38,43,44,49,
70,101,157,163,177,181,183,185,200,321,353,362,398,399,415,528,971],[1,3,5,6,
7,20,22,24,29,36,40,43,44,45,47,49,70,100,155,165,176,177,181,182,183,188,201,
322,354,363,398,400,414,526,972],[1,3,5,6,20,22,29,35,40,43,45,47,49,69,100,
156,164,176,177,182,183,188,201,322,356,361,397,401,416,527,973],[1,2,5,6,19,
20,22,25,38,44,47,67,101,125,138,176,178,200,205,329,364,417,433,500,974],[1,
3,5,6,20,21,22,29,40,44,48,49,68,100,125,141,177,179,180,203,206,330,365,418,
435,501,975],[1,5,6,19,20,35,44,47,67,82,164,178,200,203,316,364,419,433,523,
976],[1,5,6,7,19,20,36,37,44,48,49,67,83,163,165,179,180,200,203,316,365,420,
434,524,977],[1,3,5,22,26,32,35,43,45,47,69,72,158,176,182,183,300,356,397,
403,450,978],[1,3,5,7,22,24,26,32,36,43,44,45,49,70,72,159,177,181,182,183,
184,301,353,354,398,402,403,451,979],[1,2,3,5,22,25,26,32,45,47,49,71,72,150,
176,177,182,189,305,361,381,393,460,980],[1,3,4,5,22,26,28,32,43,44,47,49,72,
73,153,176,177,181,183,192,306,362,363,382,383,395,461,981],[1,2,3,5,15,22,25,
26,45,47,50,71,89,150,158,182,189,195,205,305,368,404,439,474,982],[1,3,4,5,7,
13,14,24,28,29,32,33,44,45,49,51,52,74,92,153,159,184,186,187,190,193,194,206,
307,366,367,406,440,441,476,983],[1,3,5,19,26,29,35,44,47,82,84,169,178,200,
207,319,348,364,374,419,436,534,984],[1,3,5,19,26,29,35,44,47,82,84,156,178,
200,215,336,347,419,436,505,985],[1,5,6,19,20,35,47,67,82,164,178,215,336,345,
374,433,523,986],[1,3,5,22,26,32,35,43,47,49,69,72,158,176,177,183,219,344,
352,383,416,450,987],[1,3,5,7,22,24,26,32,36,44,45,47,49,70,72,159,176,177,
181,182,219,344,355,381,382,414,415,451,988],[1,2,3,5,22,25,26,32,47,49,71,72,
150,176,177,219,344,346,393,396,460,989],[1,3,4,5,22,26,28,32,47,49,72,73,153,
176,177,219,344,346,394,395,396,461,990],[1,3,5,7,22,24,26,32,36,43,44,45,47,
70,72,168,176,181,182,183,217,339,352,382,398,403,414,491,991],[1,3,5,7,22,24,
26,32,36,43,44,45,49,70,72,167,177,181,182,183,217,339,355,383,398,402,415,
489,992],[1,3,5,22,26,32,35,43,44,45,49,69,72,169,177,181,182,183,217,339,355,
381,397,403,416,490,993],[1,3,5,19,26,29,35,44,47,82,84,169,178,200,216,337,
347,369,419,421,436,534,994],[1,3,5,6,7,20,27,30,32,36,37,43,44,45,46,48,83,
86,167,168,180,201,202,203,204,217,218,338,351,370,420,423,437,536,995],[1,2,
3,5,15,25,26,35,38,44,45,50,89,104,169,185,189,195,218,341,357,387,439,467,
996],[1,3,5,7,13,14,29,32,36,42,43,44,45,51,52,92,105,167,168,186,187,188,193,
194,217,218,342,360,388,389,440,441,468,997],[1,2,5,11,25,38,44,47,76,185,205,
212,324,998],[1,4,5,7,19,24,28,43,44,45,124,132,137,139,184,190,191,192,200,
216,217,218,337,340,343,566,569,577,589,999],[1,2,3,4,5,6,7,20,24,25,28,29,43,
44,45,126,128,129,132,133,134,136,138,141,142,184,185,186,187,188,189,190,191,
192,201,202,203,216,217,218,338,340,341,342,343,568,570,571,574,578,579,580,
584,587,590,1000],[1,3,4,5,6,20,22,28,29,43,44,45,125,130,131,135,136,137,140,
141,142,181,182,183,186,187,188,190,191,192,201,202,203,216,217,218,338,339,
342,343,567,572,573,575,576,581,582,585,586,588,1001],[1,3,4,5,6,18,20,22,28,
29,40,45,46,49,94,100,131,142,177,186,204,379,411,469,1002],[1,2,4,5,16,19,22,
25,28,38,44,45,49,93,101,131,139,177,189,200,378,413,471,1003],[1,3,5,6,17,20,
22,29,40,44,46,47,88,100,130,141,176,187,204,379,412,470,1004],[1,2,3,5,19,22,
25,26,29,38,44,49,50,84,101,130,133,177,195,200,386,413,456,1005],[1,3,4,5,6,
20,22,28,29,34,40,45,49,51,87,100,131,136,177,194,202,384,411,458,1006],[1,3,
4,5,6,20,22,28,29,34,40,45,47,52,87,100,131,136,176,193,202,385,412,458,
1007],[1,2,5,7,19,22,24,25,36,38,43,44,50,70,101,124,128,183,195,200,378,386,
448,1008],[1,3,5,6,7,20,22,24,29,36,40,45,46,52,70,100,126,129,182,193,204,
379,385,446,1009],[1,3,5,6,20,22,29,35,40,44,46,51,69,100,125,130,181,194,204,
379,384,447,1010],[1,3,5,22,26,32,35,47,51,69,72,158,176,198,405,450,1011],[1,
3,5,22,26,32,35,45,47,69,72,158,176,182,397,450,1012],[1,3,5,17,22,26,32,47,
51,72,91,151,158,176,198,207,394,405,475,1013],[1,2,3,5,15,22,25,26,47,49,50,
71,89,150,158,177,195,205,393,404,474,1014],[1,3,5,6,20,21,22,29,40,44,49,52,
68,100,125,141,177,193,203,385,411,501,1015],[1,2,5,6,19,20,22,25,38,44,49,50,
67,101,125,138,177,195,200,386,413,500,1016],[1,3,5,6,20,21,22,29,40,44,47,51,
68,100,125,141,176,194,203,384,412,501,1017],[1,2,4,5,16,19,22,25,28,38,45,47,
49,93,101,131,139,177,178,189,413,417,471,1018],[1,3,4,5,6,18,20,22,28,29,40,
45,47,48,94,100,131,142,176,180,186,412,418,469,1019],[1,3,5,6,17,20,22,29,40,
44,48,49,88,100,130,141,177,180,187,411,418,470,1020],[1,2,5,7,19,22,24,25,36,
38,43,47,50,70,101,124,128,178,183,195,386,417,448,1021],[1,3,5,6,7,20,22,24,
29,36,40,45,48,51,70,100,126,129,180,182,194,384,418,446,1022],[1,3,5,6,20,22,
29,35,40,44,48,52,69,100,125,130,180,181,193,385,418,447,1023],[1,2,3,5,15,25,
26,35,38,44,49,89,104,169,185,209,444,467,1024],[1,3,5,6,17,20,22,29,40,43,44,
48,88,100,130,141,180,183,187,377,418,470,1025],[1,2,4,5,16,19,22,25,28,38,45,
47,93,101,131,139,178,182,189,376,417,471,1026],[1,3,4,5,6,18,20,22,28,29,40,
44,45,48,94,100,131,142,180,181,186,375,418,469,1027],[1,3,5,6,20,21,22,29,40,
44,51,68,100,125,141,181,194,203,375,384,501,1028],[1,2,5,6,19,20,22,25,38,44,
45,50,67,101,125,138,182,195,200,376,386,500,1029],[1,3,5,6,20,21,22,29,40,43,
44,52,68,100,125,141,183,193,203,377,385,501,1030],[1,2,4,5,19,22,25,28,38,45,
47,50,73,101,134,139,178,182,195,386,417,452,1031],[1,3,4,5,6,20,22,28,29,40,
43,48,51,73,100,135,140,180,183,194,384,418,454,1032],[1,2,3,5,6,20,22,25,29,
40,44,48,52,71,100,133,138,180,181,193,385,418,453,1033],[1,3,5,19,26,29,35,
47,52,82,84,156,178,193,426,505,1034],[1,2,3,5,6,7,20,25,29,31,36,37,49,50,51,
83,85,155,157,179,194,195,424,425,506,1035],[1,2,3,5,6,7,20,25,29,31,36,42,46,
49,50,85,105,157,165,195,204,206,422,424,509,1036],[1,2,3,5,6,20,25,29,31,35,
38,46,47,51,85,104,156,164,194,204,205,422,425,508,1037],[1,3,5,7,19,26,29,36,
42,44,49,52,84,105,155,163,193,200,206,421,426,507,1038],[1,2,4,5,16,19,22,25,
28,38,44,45,93,101,131,139,182,189,200,376,378,471,1039],[1,3,4,5,6,18,20,22,
28,29,40,43,45,46,94,100,131,142,183,186,204,377,379,469,1040],[1,3,5,6,17,20,
22,29,40,44,46,88,100,130,141,181,187,204,375,379,470,1041],[1,2,3,5,19,22,25,
26,29,38,44,45,50,84,101,130,133,182,195,200,376,386,456,1042],[1,3,4,5,6,20,
22,28,29,34,40,43,45,51,87,100,131,136,183,194,202,377,384,458,1043],[1,3,4,5,
6,20,22,28,29,34,40,44,45,52,87,100,131,136,181,193,202,375,385,458,1044],[1,
2,3,5,22,25,26,32,47,51,71,72,150,176,198,405,460,1045],[1,2,3,5,22,25,26,32,
47,50,71,72,150,176,195,404,460,1046],[1,2,4,5,19,22,25,28,38,44,45,50,73,101,
134,139,182,195,200,378,386,452,1047],[1,3,4,5,6,20,22,28,29,40,43,46,52,73,
100,135,140,183,193,204,379,385,454,1048],[1,2,3,5,6,20,22,25,29,40,44,46,51,
71,100,133,138,181,194,204,379,384,453,1049],[1,3,5,17,22,26,32,44,47,51,72,
91,151,158,181,198,207,402,405,475,1050],[1,2,3,5,15,25,26,35,38,44,51,89,104,
169,185,198,442,467,1051],[1,5,6,19,20,35,47,49,67,82,164,178,209,445,523,
1052],[1,5,7,19,35,36,47,49,82,107,162,163,178,209,374,445,560,1053],[1,3,5,
19,26,29,35,47,49,82,84,156,178,209,445,505,1054],[1,5,7,19,35,36,44,49,82,
107,162,163,200,209,369,445,560,1055],[1,5,6,19,20,35,47,48,67,82,164,178,180,
434,523,1056],[1,5,6,7,19,20,36,37,47,48,49,67,83,163,165,178,179,180,433,434,
524,1057],[1,3,5,19,26,29,35,44,47,82,84,151,156,169,178,200,207,319,364,374,
436,505,519,534,1058],[1,3,5,6,19,20,26,29,35,44,47,67,82,84,141,164,169,178,
200,203,316,348,369,436,495,523,534,1059],[1,3,5,6,7,20,21,27,30,32,36,37,43,
45,46,48,68,83,86,143,166,167,168,180,201,202,204,317,350,370,437,499,525,536,
1060],[1,4,5,6,7,19,20,28,34,36,37,45,46,49,67,83,87,139,142,163,165,170,179,
202,204,318,349,370,438,498,524,535,1061],[1,2,3,5,6,19,20,22,25,26,29,38,44,
47,67,84,101,125,138,141,150,158,178,200,212,333,348,433,436,495,500,531,
1062],[1,3,4,5,6,20,21,23,27,28,34,39,40,43,45,46,48,49,68,87,102,127,140,142,
143,152,160,179,180,201,204,211,213,335,350,435,438,496,504,533,1063],[1,3,4,
5,6,7,20,21,24,27,28,30,32,41,45,46,48,49,68,86,103,126,142,143,153,159,179,
180,202,204,214,334,349,435,437,499,503,532,1064],[1,2,3,5,19,22,25,26,29,38,
44,47,84,101,130,133,150,151,158,178,200,212,333,364,421,436,456,519,531,
1065],[1,3,4,5,6,7,20,24,27,28,30,32,34,41,44,46,48,49,86,87,103,132,137,153,
154,159,179,180,203,204,214,334,365,423,438,459,520,532,1066],[1,3,5,19,26,29,
35,44,47,82,84,151,169,178,187,200,310,348,419,421,519,534,1067],[1,3,4,5,6,7,
20,27,28,30,32,34,36,37,43,44,45,46,48,83,86,87,154,167,168,170,180,190,192,
201,203,204,312,350,420,423,520,535,536,1068],[1,2,3,4,5,6,16,20,25,28,29,31,
35,38,45,47,50,85,93,104,136,142,156,164,173,189,195,197,205,314,368,387,429,
480,508,541,1069],[1,2,3,5,6,7,17,20,25,29,31,36,42,44,49,52,85,88,105,133,
141,157,165,174,187,193,196,206,315,367,388,428,479,509,543,1070],[1,3,4,5,7,
18,19,26,28,29,36,42,45,49,51,84,94,105,136,139,155,163,175,186,194,198,206,
313,366,389,427,478,507,542,1071],[1,3,5,6,19,20,26,29,35,44,47,67,82,84,141,
156,164,178,200,207,319,364,419,433,495,505,523,1072],[1,2,3,5,6,7,20,21,25,
29,31,36,37,44,48,49,68,83,85,138,141,155,157,166,179,180,203,208,320,365,420,
435,497,506,525,1073],[1,3,5,6,7,20,22,24,29,35,36,40,45,47,49,69,70,100,126,
129,156,162,164,176,177,182,213,303,361,397,414,446,522,527,1074],[1,3,5,6,7,
20,22,24,29,35,36,40,43,44,49,69,70,100,125,130,155,162,165,177,181,183,211,
304,362,398,416,447,522,526,1075],[1,2,5,7,19,22,24,25,36,38,43,44,47,49,70,
101,124,128,157,161,163,176,177,181,183,212,302,363,398,415,448,521,528,
1076],[1,3,5,7,22,24,26,32,36,45,47,49,70,72,159,161,167,176,177,182,210,332,
361,394,414,451,489,521,1077],[1,3,5,7,22,24,26,32,35,36,43,47,49,69,70,72,
158,162,168,176,177,183,210,332,363,396,416,450,491,522,1078],[1,3,5,7,22,24,
26,32,35,36,44,49,69,70,72,159,162,169,177,181,209,331,362,396,415,451,490,
522,1079],[1,2,3,5,7,22,24,25,26,32,36,43,47,49,70,71,72,128,150,159,176,177,
183,210,332,363,383,393,451,460,486,1080],[1,3,4,5,22,26,28,32,35,45,47,49,69,
72,73,131,153,158,176,177,182,209,331,361,381,395,450,461,485,1081],[1,3,4,5,
7,22,24,26,28,32,36,44,47,49,70,72,73,132,153,159,176,177,181,210,332,362,382,
395,451,461,487,1082],[1,3,5,7,22,24,26,32,36,43,44,45,47,70,72,161,167,168,
176,181,182,183,184,301,356,382,398,489,491,521,1083],[1,3,5,7,22,24,26,32,35,
36,43,44,49,69,70,72,162,168,169,177,181,183,300,353,383,398,490,491,522,
1084],[1,3,5,7,22,24,26,32,35,36,44,45,49,69,70,72,162,167,169,177,181,182,
184,301,354,381,397,489,490,522,1085],[1,2,4,5,7,19,22,24,25,28,36,38,44,45,
47,49,70,73,101,132,134,139,157,163,176,177,181,182,212,302,354,395,414,452,
487,528,1086],[1,2,3,5,6,7,20,22,24,25,29,36,40,43,44,49,70,71,100,128,133,
138,155,165,177,181,183,211,304,353,393,415,453,486,526,1087],[1,3,4,5,6,20,
22,28,29,35,40,43,45,47,49,69,73,100,131,135,140,156,164,176,177,182,183,213,
303,356,395,416,454,485,527,1088],[1,3,4,5,22,26,28,32,35,43,44,45,49,69,72,
73,131,153,169,177,181,182,183,192,306,354,403,416,461,485,490,1089],[1,2,3,5,
7,22,24,25,26,32,36,43,45,47,70,71,72,128,150,167,176,182,183,189,305,356,403,
414,460,486,489,1090],[1,3,4,5,7,22,24,26,28,32,36,43,44,49,70,72,73,132,153,
168,177,181,183,192,306,353,402,415,461,487,491,1091],[1,2,4,5,11,16,25,28,38,
44,47,50,76,93,137,144,173,185,195,205,212,324,358,429,510,555,1092],[1,3,4,5,
6,12,17,18,27,28,29,39,40,43,45,49,51,52,78,88,94,135,136,145,146,171,172,188,
193,194,206,211,213,325,359,427,428,511,553,554,1093],[1,2,3,4,5,15,16,22,25,
26,28,45,47,50,71,89,93,131,134,147,150,158,189,195,205,308,368,429,439,474,
513,548,1094],[1,3,4,5,7,13,14,17,24,28,29,32,33,45,49,51,52,74,88,92,129,136,
149,153,159,186,193,194,199,206,309,366,428,441,476,514,549,1095],[1,3,4,5,7,
13,14,18,24,28,29,32,33,44,49,51,52,74,92,94,132,137,148,153,159,187,193,194,
199,206,309,367,427,440,476,515,550,1096],[1,3,4,5,7,13,14,18,28,29,32,36,42,
43,44,45,51,52,92,94,105,148,167,168,175,187,188,191,192,193,194,328,359,388,
440,468,478,515,1097],[1,3,5,7,13,14,17,29,32,36,42,43,45,51,52,88,92,105,149,
167,168,174,186,188,193,194,326,359,389,441,468,479,514,1098],[1,2,3,4,5,15,
16,25,26,28,35,38,44,45,50,89,93,104,147,169,173,185,189,190,191,195,327,358,
387,439,467,480,513,1099],[1,2,3,5,22,25,26,32,47,71,72,150,176,220,460,597,
1100],[1,3,5,22,26,32,35,47,69,72,158,176,220,450,597,1101],[1,3,5,19,26,29,
35,47,82,84,156,178,220,505,596,1102],[1,5,6,19,20,35,47,67,82,164,178,220,
523,596,1103],[1,3,5,6,7,20,22,24,29,36,40,45,47,49,70,100,155,165,176,177,
182,210,213,303,332,346,361,412,414,526,1104],[1,2,5,7,19,22,24,25,36,38,44,
47,49,70,101,157,163,176,177,181,210,212,302,332,346,362,413,415,528,1105],[1,
3,5,6,20,22,29,35,40,43,47,49,69,100,156,164,176,177,183,209,211,304,331,346,
363,411,416,527,1106],[1,2,5,6,19,20,22,25,38,44,47,67,101,125,138,178,200,
203,212,316,333,347,348,371,433,500,1107],[1,4,5,6,7,19,20,24,28,41,43,45,46,
48,67,103,124,126,139,140,180,201,204,214,318,334,350,351,372,434,502,1108],[
1,3,5,6,20,21,23,27,39,40,43,45,46,48,49,68,102,127,143,179,180,201,202,204,
211,213,317,335,349,351,373,435,504,1109],[1,2,3,5,19,22,25,26,29,38,44,47,84,
101,150,158,178,200,207,212,319,333,345,364,417,436,531,1110],[1,2,3,5,19,22,
25,26,29,38,44,47,84,101,130,133,178,200,207,212,319,333,347,348,371,421,456,
1111],[1,2,3,4,5,6,7,20,24,25,28,29,31,41,43,45,46,48,85,103,128,129,134,135,
180,201,204,208,214,320,334,350,351,372,422,457,1112],[1,2,3,5,19,22,25,26,29,
38,44,47,84,101,150,158,178,187,200,212,310,333,347,364,378,436,531,1113],[1,
3,4,5,6,20,23,27,28,34,39,40,43,44,45,46,48,49,87,102,152,160,179,180,190,192,
201,203,204,211,213,312,335,351,365,380,438,533,1114],[1,3,5,6,7,20,22,24,29,
36,40,43,44,45,47,49,70,100,126,129,176,177,181,182,183,210,211,304,332,355,
356,398,400,446,1115],[1,2,5,7,19,22,24,25,36,38,43,44,47,49,70,101,124,128,
176,177,181,183,210,212,302,332,352,353,398,399,448,1116],[1,3,5,6,20,22,29,
35,40,44,45,49,69,100,125,130,177,181,182,209,213,303,331,354,355,397,401,447,
1117],[1,3,5,6,7,20,22,24,29,36,40,44,45,49,70,100,155,165,177,181,182,184,
213,301,303,355,362,375,415,526,1118],[1,2,5,7,19,22,24,25,36,38,44,45,47,49,
70,101,157,163,176,177,181,182,184,212,301,302,355,361,376,414,528,1119],[1,3,
5,6,20,22,29,35,40,43,47,49,69,100,156,164,176,177,183,211,300,304,352,363,
377,416,527,1120],[1,2,3,5,6,20,22,25,29,40,44,45,49,71,100,133,138,177,181,
182,189,213,303,305,354,355,393,401,453,1121],[1,3,4,5,6,20,22,28,29,40,43,44,
47,49,73,100,135,140,176,177,181,183,192,211,304,306,352,353,395,400,454,
1122],[1,2,4,5,19,22,25,28,38,43,44,45,47,49,73,101,134,139,176,177,181,182,
183,192,212,302,306,355,356,395,399,452,1123],[1,2,3,5,6,20,22,25,29,31,44,50,
71,85,125,130,133,138,185,195,197,308,314,357,358,404,424,463,1124],[1,2,3,4,
5,6,7,20,24,25,28,29,31,33,43,45,51,52,74,85,126,128,134,140,188,193,194,196,
199,309,315,359,360,406,425,464,1125],[1,3,4,5,7,19,24,26,28,29,33,43,45,51,
52,74,84,124,129,135,139,188,193,194,198,199,309,313,359,360,406,426,462,
1126],[1,3,5,6,12,17,27,29,39,40,43,45,49,51,52,78,88,146,171,186,188,193,194,
206,211,213,325,326,360,366,409,428,553,1127],[1,2,4,5,11,16,25,28,38,44,45,
47,50,76,93,144,173,185,189,190,191,195,205,212,324,327,357,368,410,429,555,
1128],[1,3,4,5,6,12,18,27,28,29,39,40,43,44,45,49,51,52,78,94,145,172,187,188,
191,192,193,194,206,211,213,325,328,360,367,408,427,554,1129],[1,2,5,11,25,38,
44,45,47,50,76,185,189,195,205,212,218,324,341,358,368,410,1130],[1,3,5,6,12,
27,29,39,40,43,44,45,49,51,52,78,186,187,188,193,194,206,211,213,217,218,325,
342,359,366,367,408,409,1131],[1,2,5,19,22,25,38,44,47,101,178,200,212,216,
333,337,348,364,371,378,1132],[1,3,5,6,20,23,27,39,40,43,44,45,46,48,49,102,
179,180,201,202,203,204,211,213,217,218,335,338,349,350,365,373,380,1133],[1,
2,5,19,22,25,38,43,44,47,49,101,176,177,181,183,212,219,302,344,353,362,363,
399,413,1134],[1,3,5,6,20,22,29,40,43,45,47,49,100,176,177,182,183,211,219,
304,344,356,361,363,401,412,1135],[1,3,5,6,20,22,29,40,44,45,47,49,100,176,
177,181,182,213,219,303,344,354,361,362,400,411,1136],[1,2,5,19,22,25,38,44,
47,101,178,200,212,215,333,336,348,364,371,417,1137],[1,3,5,6,20,22,29,40,43,
44,45,49,100,177,181,182,183,211,217,304,339,353,354,362,375,401,1138],[1,2,5,
19,22,25,38,43,44,45,47,49,101,176,177,181,182,183,212,217,302,339,354,356,
361,376,399,1139],[1,3,5,6,20,22,29,40,43,44,45,47,49,100,176,177,181,182,183,
213,217,303,339,353,356,363,377,400,1140],[1,2,5,19,22,25,38,47,101,176,178,
205,220,329,596,597,598,1141],[1,3,5,7,22,24,26,36,47,70,151,158,161,176,207,
215,220,521,583,597,599,602,1142],[1,3,5,7,19,26,29,36,47,49,84,151,161,163,
178,210,219,220,519,594,596,600,602,1143],[1,5,7,19,36,47,49,161,163,178,210,
215,219,220,336,594,596,599,601,1144],[1,3,5,22,26,47,49,151,158,176,177,207,
215,219,220,344,583,597,600,601,1145],[1,3,5,22,26,43,47,151,158,176,183,207,
215,220,352,583,597,1146],[1,5,7,19,36,47,49,161,163,178,210,219,220,345,594,
596,1147],[1,3,5,22,26,47,49,151,158,176,177,207,215,220,346,583,597,1148],[1,
5,7,19,36,44,47,49,161,163,178,200,210,219,220,347,594,596,1149],[1,2,5,11,25,
38,44,47,76,185,205,212,220,324,598,1150],[1,2,3,5,7,25,26,36,47,49,150,151,
157,161,205,207,210,215,219,220,591,593,598,599,600,601,602,1151],[1,6,8,9,21,
65,221,229,234,242,1152],[1,5,8,9,19,64,221,228,233,241,1153],[1,2,8,10,11,62,
222,226,230,243,1154],[1,6,8,10,23,65,222,235,237,239,1155],[1,6,7,8,9,37,56,
57,58,65,66,221,254,255,603,605,606,1156],[1,4,6,8,10,34,54,59,61,63,65,222,
252,257,604,607,608,1157],[1,2,3,6,11,15,31,53,90,223,224,225,609,610,611,
1158],[1,2,3,6,31,52,53,196,223,224,225,611,613,1159],[1,2,3,6,31,48,53,208,
223,224,225,611,612,1160],[1,5,8,19,35,82,228,265,1161],[1,2,5,10,11,19,22,25,
38,76,101,230,236,279,1162],[1,3,5,6,10,12,20,22,23,27,29,39,40,78,100,102,
232,236,237,280,1163],[1,5,9,19,35,82,233,238,265,1164],[1,2,5,8,11,19,22,25,
38,76,101,226,228,279,1165],[1,5,6,9,19,20,21,67,68,233,234,266,1166],[1,2,3,
6,10,11,12,13,15,23,30,31,75,90,96,230,231,235,271,1167],[1,3,5,10,12,14,22,
26,32,72,97,232,236,269,1168],[1,2,3,6,10,11,12,13,15,23,30,31,75,90,96,230,
232,237,271,1169],[1,5,6,9,19,20,21,64,67,68,229,241,266,643,1170],[1,5,6,8,
19,20,21,65,67,68,228,242,266,642,1171],[1,2,3,6,10,11,12,13,15,23,30,31,62,
75,90,96,235,243,271,645,1172],[1,2,4,5,10,16,22,25,28,62,63,71,73,93,236,244,
268,644,646,1173],[1,2,3,6,10,11,13,14,15,27,30,31,39,62,77,90,95,118,122,231,
243,272,648,662,1174],[1,2,5,10,11,19,22,25,38,62,76,101,230,243,279,647,
1175],[1,2,5,10,11,22,25,35,38,62,71,76,104,108,111,236,243,281,644,658,
1176],[1,5,9,19,35,64,82,233,241,265,655,1177],[1,2,3,6,8,11,12,13,15,23,30,
31,65,75,90,96,226,239,271,653,1178],[1,3,4,5,7,9,17,18,24,28,29,33,64,66,74,
88,94,98,227,240,270,651,654,1179],[1,3,5,9,17,19,26,29,64,84,88,91,227,241,
275,651,652,1180],[1,2,5,9,19,22,25,35,38,64,69,71,101,111,238,241,277,650,
661,1181],[1,5,7,9,22,24,35,36,64,66,69,70,107,238,240,267,650,660,1182],[1,4,
5,6,7,9,20,21,24,28,34,41,64,66,68,87,103,117,229,240,284,643,657,1183],[1,3,
5,6,8,19,20,23,27,30,32,39,40,65,67,86,102,114,115,228,239,285,642,656,1184],[
1,5,9,19,47,178,233,345,1185],[1,3,5,7,9,17,29,36,42,52,58,64,88,105,174,193,
227,253,479,628,651,1186],[1,3,4,6,7,9,17,18,33,37,39,41,42,51,52,56,58,66,98,
106,171,172,174,175,199,227,255,481,627,628,654,1187],[1,3,5,6,9,20,21,27,30,
32,46,55,64,68,86,143,204,229,251,499,621,643,1188],[1,4,5,6,8,19,20,28,34,45,
54,65,67,87,139,142,202,228,252,498,620,642,1189],[1,2,4,5,10,16,22,25,28,45,
61,62,71,93,131,134,189,236,246,548,619,644,1190],[1,3,4,5,10,18,22,28,29,44,
45,60,61,63,73,94,130,131,136,137,190,236,247,551,618,619,646,1191],[1,2,4,5,
10,11,16,25,28,38,50,61,62,76,93,144,173,195,230,246,555,640,647,1192],[1,2,3,
4,6,10,13,16,18,31,34,39,52,61,62,77,99,148,172,196,231,246,557,641,648,
1193],[1,3,4,7,10,12,17,18,33,42,51,52,60,61,63,79,98,145,146,174,175,199,232,
247,559,638,639,649,1194],[1,2,3,5,10,15,22,25,26,47,60,62,71,89,150,158,205,
236,245,474,633,644,1195],[1,2,3,4,6,10,16,18,23,30,31,34,48,61,62,75,99,154,
160,208,235,246,477,635,645,1196],[1,2,3,5,6,10,20,22,25,29,31,44,59,60,62,71,
85,125,130,133,138,185,236,256,463,616,618,644,1197],[1,4,5,6,10,20,22,28,34,
44,45,59,61,63,73,87,125,131,137,142,191,236,257,466,616,619,646,1198],[1,2,3,
5,10,15,22,26,29,32,35,38,44,47,60,62,108,119,130,156,158,169,212,236,245,494,
618,633,658,1199],[1,3,5,9,13,14,17,29,32,51,55,64,88,92,149,194,227,251,514,
624,651,1200],[1,2,3,4,6,8,11,15,16,18,31,34,50,54,65,90,99,144,147,197,226,
252,518,625,653,1201],[1,3,5,9,12,14,17,26,32,51,55,64,91,97,146,149,198,227,
251,516,623,624,652,1202],[1,5,7,9,22,24,35,36,49,58,64,69,70,162,177,238,253,
522,632,650,1203],[1,4,5,6,7,8,19,20,24,28,41,43,45,54,57,65,67,103,124,126,
139,140,201,228,248,502,615,620,642,1204],[1,3,5,6,9,20,21,23,27,39,40,46,55,
56,64,68,102,127,143,204,229,249,504,614,621,643,1205],[1,3,4,5,6,7,8,19,28,
32,33,36,40,41,45,49,54,57,65,112,114,139,153,163,167,213,228,248,538,620,629,
656,1206],[1,3,4,6,7,9,21,27,33,34,37,41,42,46,48,55,58,66,113,117,143,152,
166,170,214,229,250,540,621,630,657,1207],[1,5,6,7,9,20,21,36,37,48,58,64,68,
83,166,180,229,253,525,630,643,1208],[1,5,6,7,8,19,20,36,37,49,57,65,67,83,
163,165,179,228,254,524,629,642,1209],[1,3,5,9,22,26,32,35,44,55,64,69,72,169,
181,238,251,490,631,650,1210],[1,2,3,5,9,15,25,26,29,32,35,38,44,47,55,64,111,
119,133,150,156,169,212,238,251,484,626,631,661,1211],[1,3,5,6,9,20,22,29,35,
40,47,55,56,64,69,100,156,164,176,238,249,527,622,626,650,1212],[1,3,5,7,9,29,
35,36,42,47,49,55,58,66,105,107,155,156,161,162,210,238,250,530,626,632,660,
1213],[1,3,5,6,9,12,17,27,29,39,40,51,55,56,64,78,88,146,171,194,227,249,553,
623,627,651,1214],[1,3,4,7,9,12,17,18,33,42,51,52,55,58,66,79,98,145,146,174,
175,199,227,250,559,623,628,654,1215],[1,3,5,6,9,14,17,26,30,39,40,51,55,56,
64,81,91,149,171,198,227,249,558,624,627,652,1216],[1,5,6,7,9,20,35,36,37,47,
49,56,58,66,83,107,161,162,164,165,210,238,255,561,622,632,660,1217],[1,3,5,6,
7,8,19,24,32,36,37,40,42,43,49,57,65,110,114,124,159,163,168,211,228,254,564,
615,629,656,1218],[1,4,6,7,9,21,23,34,37,41,46,48,56,58,66,109,117,127,160,
166,170,214,229,255,565,614,630,657,1219],[1,5,7,9,19,35,36,49,58,64,82,107,
162,163,209,233,253,560,636,655,1220],[1,2,3,5,6,10,20,22,26,31,35,38,40,44,
47,59,60,62,108,116,125,158,164,169,212,236,256,562,616,633,658,1221],[1,4,6,
7,10,21,23,34,37,41,46,48,59,61,63,109,117,127,160,166,170,214,237,257,565,
617,634,659,1222],[1,2,3,5,6,9,20,25,26,31,35,38,40,44,47,55,56,64,111,116,
138,150,164,169,212,238,249,539,622,631,661,1223],[1,2,5,10,22,25,50,62,71,
195,236,261,308,644,1224],[1,5,6,8,19,20,46,65,67,204,228,263,318,642,1225],[
1,5,6,9,20,21,43,45,64,68,201,202,229,262,317,643,1226],[1,3,5,9,17,29,43,45,
64,88,186,188,227,262,326,651,1227],[1,5,9,22,35,43,64,69,183,238,262,300,650,
1228],[1,3,5,9,17,29,49,52,64,88,193,206,227,259,428,651,1229],[1,2,3,6,8,11,
15,31,48,52,65,90,196,208,226,260,431,653,1230],[1,5,9,22,35,43,49,64,69,177,
183,238,259,416,650,1231],[1,5,6,8,19,20,48,65,67,180,228,260,434,642,1232],[
1,5,6,9,20,21,48,49,64,68,179,180,229,259,435,643,1233],[1,2,5,10,22,25,50,62,
71,195,236,258,404,644,1234],[1,2,3,6,10,23,30,31,50,52,62,75,196,197,235,258,
407,645,1235],[1,2,5,10,11,25,38,45,50,62,76,189,195,230,258,410,647,1236],[1,
2,3,6,10,13,31,39,48,50,62,77,197,208,231,258,390,648,1237],[1,5,9,19,35,49,
64,82,209,233,259,445,655,1238],[1,5,7,9,36,47,58,64,161,215,220,253,599,670,
1239],[1,5,9,19,47,64,178,215,241,336,670,1240],[1,5,9,19,44,64,200,216,241,
337,669,1241],[1,5,7,9,24,44,45,64,66,184,216,218,240,340,669,1242],[1,5,9,47,
49,64,215,219,220,259,601,670,1243],[1,4,5,9,28,43,44,64,137,192,216,262,566,
669,1244],[1,4,6,7,8,21,23,34,37,41,46,48,54,57,65,109,117,127,160,166,170,
214,239,242,248,252,254,260,263,565,664,667,672,675,677,680,683,1245],[1,3,5,
6,7,9,19,24,32,36,37,40,42,43,49,55,56,58,64,66,110,114,124,159,163,168,211,
240,241,249,250,251,253,255,259,262,564,663,668,671,674,678,679,684,1246],[1,
2,3,4,6,10,11,15,16,18,31,34,50,59,60,61,62,63,90,99,144,147,197,243,244,245,
246,247,256,257,258,261,518,665,666,673,676,681,682,685,1247],[1,6,8,9,10,56,
59,65,221,222,606,608,686,1248],[1,7,8,9,10,57,58,66,221,222,603,605,686,
1249],[1,4,8,9,10,54,61,63,221,222,604,607,686,1250],[1,6,10,23,53,59,223,235,
1251],[1,3,10,13,53,60,224,231,1252],[1,6,9,21,53,56,223,234,1253],[1,2,8,11,
53,225,226,264,609,1254],[1,6,8,48,53,65,223,260,264,612,687,1255],[1,2,5,11,
19,22,25,35,38,69,71,76,82,101,104,108,111,265,277,279,281,293,295,688,689,
1256],[1,2,3,5,6,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,38,39,40,67,
72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,100,101,102,114,115,116,118,
119,120,121,122,123,269,271,272,273,274,279,280,283,285,286,287,288,289,290,
291,292,297,298,299,691,692,693,694,1257],[1,5,6,19,20,21,35,47,67,68,82,164,
178,215,265,266,336,345,374,433,523,741,762,986,1258],[1,3,5,17,19,26,29,35,
44,47,82,84,88,91,156,169,178,200,215,216,265,275,336,337,347,369,419,421,436,
505,534,793,814,985,994,1259],[1,2,3,4,5,12,14,16,22,25,26,28,32,47,49,71,72,
73,93,97,150,153,176,177,219,268,269,344,346,393,394,395,396,460,461,767,768,
769,989,990,1260],[1,3,5,7,12,14,22,24,26,32,35,36,43,44,45,47,49,69,70,72,97,
107,158,159,167,168,169,176,177,181,182,183,217,219,267,269,339,344,352,355,
381,382,383,397,398,402,403,414,415,416,450,451,489,490,491,778,779,803,804,
987,988,991,992,993,1261],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,38,40,46,
67,72,76,80,84,85,89,90,100,101,114,116,119,121,204,279,283,286,290,298,318,
379,422,691,856,1262],[1,2,3,5,6,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,
38,39,40,44,46,67,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,114,115,
116,119,120,121,122,123,200,203,204,280,283,285,287,288,289,291,292,297,298,
299,316,318,378,379,380,421,422,423,692,855,856,857,1263],[1,2,3,5,6,11,15,19,
20,22,25,26,29,31,32,38,40,51,67,72,76,80,84,85,89,90,100,101,114,116,119,121,
194,198,279,283,286,290,298,313,384,405,425,442,691,860,887,1264],[1,2,3,5,6,
12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,38,39,40,50,52,67,72,75,77,78,80,
81,84,85,86,92,95,96,97,100,101,102,114,115,116,119,120,121,122,123,193,195,
196,197,280,283,285,287,288,289,291,292,297,298,299,314,315,385,386,407,424,
426,443,692,861,862,888,1265],[1,2,3,5,6,12,13,14,15,19,20,22,25,26,27,29,30,
31,32,38,39,40,44,47,51,72,78,80,81,84,86,89,92,95,96,97,100,101,114,115,116,
118,119,120,121,122,123,178,187,194,198,200,207,269,273,274,286,287,289,292,
297,298,310,313,319,371,392,405,408,430,436,440,442,693,858,864,885,887,
1266],[1,2,3,5,6,11,12,13,14,15,20,23,25,26,27,29,30,31,32,38,39,40,45,48,50,
52,75,76,77,78,80,81,85,86,89,90,92,95,96,97,102,115,116,118,119,120,121,122,
123,180,186,189,193,195,196,197,202,208,271,272,273,274,288,290,291,292,299,
311,314,315,320,373,390,391,407,409,410,431,432,437,439,441,443,694,859,863,
865,884,886,888,1267],[1,2,5,11,19,22,25,35,38,50,69,71,76,82,101,104,108,111,
195,277,279,281,293,295,308,386,404,689,848,1268],[1,2,5,11,19,22,25,35,38,45,
50,69,71,76,82,101,104,108,111,182,189,195,277,279,281,293,295,305,308,376,
386,387,397,404,410,689,844,848,850,1269],[1,2,5,11,19,22,25,35,38,49,69,71,
76,82,101,104,108,111,177,209,277,279,281,293,295,331,393,413,444,445,689,868,
889,1270],[1,2,5,19,22,25,35,38,43,49,69,82,101,104,108,111,177,183,209,265,
293,295,300,331,399,416,444,445,688,870,889,1271],[1,2,3,5,6,12,13,14,15,19,
20,22,23,25,26,27,29,30,31,32,38,39,40,47,51,67,72,75,77,78,80,81,84,85,86,92,
95,96,97,100,101,102,114,115,116,119,120,121,122,123,178,194,198,207,280,283,
285,287,288,289,291,292,297,298,299,313,319,384,392,417,425,430,433,692,860,
864,866,1272],[1,2,3,5,6,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,38,39,
40,48,50,67,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,114,115,116,
119,120,121,122,123,180,195,197,208,280,283,285,287,288,289,291,292,297,298,
299,314,320,386,390,418,424,432,434,692,861,863,867,1273],[1,2,3,5,6,11,15,19,
20,22,25,26,29,31,32,38,40,48,52,67,72,76,80,84,85,89,90,100,101,114,116,119,
121,180,193,196,208,279,283,286,290,298,315,320,385,391,418,426,431,434,691,
862,865,867,1274],[1,2,3,5,15,17,19,22,25,26,29,32,35,38,47,69,71,72,84,88,89,
91,101,111,119,150,151,158,176,178,205,207,215,275,277,286,319,329,336,450,
460,474,475,519,531,546,583,593,703,707,898,912,939,1275],[1,2,3,5,6,17,19,20,
21,22,25,26,29,31,35,38,40,44,67,68,69,71,84,85,88,91,100,101,111,116,125,130,
133,138,141,181,185,187,200,203,216,266,275,277,283,310,316,321,337,447,453,
456,463,470,495,497,500,501,543,573,587,700,709,727,899,909,940,1276],[1,2,3,
4,5,6,7,16,18,19,20,21,22,24,25,26,28,29,31,33,34,36,38,40,41,43,44,45,67,68,
70,73,74,84,85,87,93,94,99,100,101,103,112,116,117,124,125,126,128,129,131,
132,134,135,136,137,138,139,140,141,142,182,183,184,186,188,189,190,191,192,
200,201,202,203,217,218,266,276,278,283,284,311,312,316,317,322,323,338,446,
448,449,452,454,455,457,458,459,462,464,465,466,469,471,472,473,495,496,497,
498,500,501,502,503,541,542,544,545,569,570,571,572,574,575,584,585,586,588,
589,590,701,702,710,711,727,729,900,901,907,908,910,911,941,942,943,1277],[1,
2,3,4,5,6,7,16,19,20,22,24,25,26,28,29,31,33,35,36,38,40,41,43,44,45,67,69,70,
71,73,74,84,85,93,100,101,103,107,111,112,116,124,125,126,128,129,130,131,132,
133,134,135,138,139,140,181,182,183,184,185,188,189,192,200,201,217,267,268,
277,278,283,300,301,305,306,321,322,339,446,447,448,449,452,453,454,456,457,
462,463,464,471,473,485,486,487,488,500,502,548,552,569,574,575,576,579,580,
695,696,709,710,722,723,901,902,905,944,945,946,1278],[1,3,4,5,6,7,17,18,20,
21,22,24,28,29,33,34,35,36,40,41,44,45,68,69,70,73,74,87,88,94,98,100,103,107,
112,117,125,126,129,130,131,132,136,137,141,142,181,182,184,186,187,190,191,
202,203,216,218,267,270,278,284,301,307,323,340,446,447,449,455,458,459,465,
466,469,470,472,485,487,488,501,503,549,550,551,570,571,572,573,577,578,581,
582,696,711,724,899,900,903,904,906,947,1279],[1,2,3,4,5,6,16,18,19,20,22,25,
26,28,29,31,34,35,38,40,44,45,67,69,71,73,84,85,87,93,94,99,100,101,111,116,
125,130,131,133,134,136,137,138,139,142,181,182,185,186,189,190,191,200,202,
218,268,276,277,283,305,311,321,327,341,447,452,453,456,458,463,466,469,471,
485,498,500,510,512,541,542,545,548,551,568,572,581,582,589,590,702,709,722,
732,904,908,917,918,931,934,1280],[1,2,3,4,5,6,7,16,17,18,19,20,22,24,25,26,
28,29,31,33,34,36,38,40,41,43,44,45,67,70,73,74,84,85,87,88,91,93,94,98,99,
100,101,103,112,116,124,126,128,129,130,131,132,133,134,135,136,137,139,140,
141,142,182,183,184,186,187,188,189,190,191,192,200,201,202,217,218,270,275,
276,278,283,307,310,311,322,326,328,342,446,448,452,454,455,456,457,458,462,
464,465,469,470,471,472,488,495,498,502,511,512,541,542,543,544,549,550,551,
552,567,568,569,571,576,578,580,582,584,586,588,589,700,702,710,724,730,731,
902,903,911,916,917,920,932,935,936,1281],[1,2,3,4,5,6,7,16,17,18,20,21,22,24,
25,28,29,31,33,34,36,40,41,43,44,45,68,70,71,73,74,85,87,88,93,94,98,99,100,
103,112,117,125,126,128,129,130,131,132,133,134,135,136,137,138,140,141,142,
181,183,184,185,186,187,188,189,190,191,192,201,202,203,216,217,218,268,270,
276,278,284,306,307,312,323,327,328,343,449,453,454,455,457,458,459,463,464,
465,466,469,470,472,473,486,487,488,496,497,501,503,510,511,512,541,543,544,
545,548,549,550,551,552,566,567,568,570,573,574,575,576,577,578,579,580,581,
584,585,586,587,588,590,701,711,723,724,731,732,905,906,907,909,910,916,918,
919,920,933,937,938,1282],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,35,36,37,38,40,
42,47,49,67,69,70,82,83,84,85,100,101,104,105,107,108,110,116,155,156,157,161,
162,163,164,165,176,177,178,179,205,206,209,210,219,267,283,293,294,329,330,
331,332,344,505,506,507,508,509,521,522,523,524,526,527,528,529,530,560,561,
591,592,594,595,705,706,736,737,913,914,915,948,949,1283],[1,2,4,5,11,16,19,
22,25,28,35,38,45,69,71,73,76,82,93,101,104,108,111,131,134,139,182,189,268,
277,279,281,293,295,305,376,397,452,471,485,548,689,722,749,766,844,1284],[1,
2,3,4,5,6,7,12,16,20,22,23,24,25,27,28,29,33,36,37,39,40,41,42,43,44,70,71,73,
74,78,79,83,93,100,102,103,105,106,109,110,112,113,128,132,133,135,138,140,
181,183,192,268,278,280,282,294,296,306,375,377,398,453,454,473,486,487,552,
690,723,748,750,764,765,845,1285],[1,2,3,4,5,6,7,11,15,19,20,22,24,25,26,28,
29,31,32,33,36,38,40,41,43,45,49,67,70,72,73,74,76,80,84,85,89,90,100,101,103,
112,114,116,119,121,124,126,128,129,134,135,139,140,153,157,163,167,177,182,
183,188,201,213,278,279,283,286,290,298,303,322,376,381,399,401,403,413,446,
448,452,454,457,461,462,464,482,489,502,528,538,691,710,716,752,766,772,775,
777,798,852,876,1286],[1,2,3,5,6,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,
35,38,39,40,44,47,67,69,71,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,
111,114,115,116,119,120,121,122,123,125,130,133,138,150,156,164,169,176,181,
185,200,212,277,280,283,285,287,288,289,291,292,297,298,299,302,321,375,382,
400,402,412,447,453,456,460,463,484,490,500,527,539,692,709,718,751,764,771,
774,776,799,853,875,1287],[1,2,3,4,5,6,7,12,13,14,15,19,20,22,23,24,25,26,27,
28,29,30,31,32,33,36,38,39,40,41,43,45,49,67,70,72,73,74,75,77,78,80,81,84,85,
86,92,95,96,97,100,101,102,103,112,114,115,116,119,120,121,122,123,124,126,
128,129,134,135,139,140,153,155,165,168,177,182,183,188,201,211,278,280,283,
285,287,288,289,291,292,297,298,299,304,322,377,383,399,401,403,411,446,448,
452,454,457,461,462,464,483,491,502,526,537,692,710,717,753,765,770,773,777,
800,854,874,1288],[1,2,4,5,11,16,19,22,25,28,35,38,45,50,69,71,73,76,82,93,
101,104,108,111,131,134,139,144,173,182,189,195,268,277,279,281,293,295,305,
308,386,387,404,410,452,471,480,485,548,555,689,722,725,756,780,783,848,850,
1289],[1,3,4,5,6,7,12,17,18,20,22,23,24,27,28,29,33,36,37,39,40,41,42,44,45,
51,52,70,73,74,78,79,83,88,94,98,100,102,103,105,106,109,110,112,113,129,130,
131,132,136,137,141,142,145,146,171,172,174,175,184,186,187,190,193,194,199,
270,278,280,282,294,296,307,309,384,385,388,389,406,408,409,455,469,470,472,
478,479,481,488,549,550,551,553,554,559,690,724,726,757,758,781,782,784,785,
849,851,1290],[1,2,3,5,6,12,13,14,15,19,20,22,25,26,27,29,30,31,32,35,38,39,
40,44,47,69,71,72,78,80,81,84,86,89,92,95,96,97,100,101,111,114,115,116,118,
119,120,121,122,123,133,138,150,156,158,164,169,176,178,181,205,212,269,273,
274,277,286,287,289,292,297,298,302,329,382,394,400,402,412,450,453,460,474,
484,490,527,531,539,693,707,718,761,767,771,776,778,801,846,877,1291],[1,2,3,
4,5,6,7,12,13,14,15,19,20,22,24,25,26,27,28,29,30,31,32,33,36,38,39,40,41,43,
45,49,70,72,73,74,78,80,81,84,86,89,92,95,96,97,100,101,103,112,114,115,116,
118,119,120,121,122,123,134,135,139,140,153,155,157,159,163,165,167,168,177,
179,182,183,206,211,213,269,273,274,278,286,287,289,292,297,298,303,304,330,
381,383,396,399,401,403,411,413,451,452,454,461,476,482,483,489,491,526,528,
532,537,538,693,708,716,717,759,760,768,770,772,777,779,802,847,878,879,
1292],[1,2,3,5,6,12,13,14,15,19,20,22,25,26,27,29,30,31,32,35,38,39,40,44,47,
69,72,78,80,81,82,84,86,89,92,95,96,97,100,101,104,108,114,115,116,118,119,
120,121,122,123,125,130,156,158,164,169,176,181,185,200,212,269,273,274,286,
287,289,292,293,297,298,302,321,375,382,394,400,402,447,450,467,490,494,527,
534,562,693,699,712,751,761,774,778,846,853,1293],[1,2,3,5,6,7,12,13,14,15,19,
20,22,24,25,26,27,29,30,31,32,36,37,38,39,40,42,43,45,49,70,72,78,80,81,83,84,
86,89,92,95,96,97,100,101,105,110,114,115,116,118,119,120,121,122,123,124,126,
128,129,155,157,159,163,165,167,168,177,182,183,188,201,211,213,269,273,274,
286,287,289,292,294,297,298,303,304,322,376,377,381,383,396,399,401,403,446,
448,451,468,489,491,492,493,526,528,536,563,564,693,697,698,713,752,753,759,
760,773,775,779,847,852,854,1294],[1,2,3,5,6,11,15,19,20,21,22,25,26,29,31,32,
38,40,44,67,68,72,76,80,84,85,89,90,100,101,114,116,119,121,125,138,141,200,
203,266,279,283,286,290,298,316,378,421,495,497,500,501,691,727,742,788,855,
1295],[1,2,3,5,6,12,13,14,15,19,20,21,22,23,25,26,27,29,30,31,32,38,39,40,44,
46,67,68,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,114,115,116,119,
120,121,122,123,125,127,138,141,143,200,203,204,266,280,283,285,287,288,289,
291,292,297,298,299,316,318,379,380,422,423,495,497,499,500,501,504,692,727,
728,743,789,790,856,857,1296],[1,2,3,5,6,11,15,17,19,20,22,25,26,29,31,32,38,
40,44,47,67,72,76,80,84,85,88,89,90,91,100,101,114,116,119,121,130,133,141,
150,151,158,178,187,200,207,275,279,283,286,290,298,310,319,371,417,433,436,
456,470,475,495,519,531,543,546,691,700,703,744,791,832,858,866,1297],[1,2,3,
4,5,6,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,38,39,40,45,48,
67,72,75,77,78,80,81,84,85,86,87,92,93,94,95,96,97,99,100,101,102,114,115,116,
119,120,121,122,123,131,136,139,142,152,154,160,180,186,189,202,208,276,280,
283,285,287,288,289,291,292,297,298,299,311,320,373,418,434,437,458,469,471,
477,498,520,533,541,542,547,692,702,704,745,792,833,859,867,1298],[1,2,5,7,11,
19,22,24,25,35,36,38,43,49,69,70,71,76,82,101,104,107,108,111,124,128,157,162,
163,177,183,209,267,277,279,281,293,295,300,331,393,399,413,416,448,486,522,
528,529,560,689,695,736,798,807,810,868,870,1299],[1,3,4,5,6,7,12,20,22,23,24,
27,28,29,33,35,36,37,39,40,41,42,44,45,47,49,69,70,73,74,78,79,83,100,102,103,
105,106,107,109,110,112,113,125,126,129,130,131,132,155,156,161,162,164,165,
176,177,181,182,184,210,267,278,280,282,294,296,301,332,395,400,401,411,412,
414,415,446,447,449,485,487,488,521,522,526,527,530,561,690,696,737,799,800,
805,806,808,809,869,871,1300],[1,2,5,7,19,22,24,25,35,36,38,49,69,70,82,101,
104,107,108,111,157,162,163,177,209,265,267,293,295,331,444,445,522,528,529,
560,688,736,818,835,889,1301],[1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,
31,32,34,38,40,45,50,67,72,76,80,84,85,87,89,90,93,94,99,100,101,114,116,119,
121,131,136,139,142,144,147,173,186,189,195,197,202,276,279,283,286,290,298,
311,314,386,410,424,439,458,469,471,498,513,518,541,542,555,556,691,702,733,
780,821,826,861,884,1302],[1,2,3,5,6,12,13,14,15,17,19,20,22,23,25,26,27,29,
30,31,32,38,39,40,44,51,67,72,75,77,78,80,81,84,85,86,88,91,92,95,96,97,100,
101,102,114,115,116,119,120,121,122,123,130,133,141,146,149,171,187,194,198,
200,275,280,283,285,287,288,289,291,292,297,298,299,310,313,384,408,425,440,
456,470,495,514,516,543,553,558,692,700,734,782,820,827,860,885,1303],[1,2,3,
4,5,6,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,38,39,40,45,52,
67,72,75,77,78,80,81,84,85,86,87,92,93,94,95,96,97,99,100,101,102,114,115,116,
119,120,121,122,123,131,136,139,142,145,148,172,186,189,193,196,202,276,280,
283,285,287,288,289,291,292,297,298,299,311,315,385,409,426,441,458,469,471,
498,515,517,541,542,554,557,692,702,735,781,819,828,862,886,1304],[1,2,3,5,6,
12,13,14,15,17,19,20,22,25,26,27,29,30,31,32,38,39,40,47,51,72,78,80,81,84,86,
88,89,91,92,95,96,97,100,101,114,115,116,118,119,120,121,122,123,146,149,150,
151,158,171,178,194,198,207,269,273,274,275,286,287,289,292,297,298,313,319,
392,405,430,442,475,514,516,519,531,546,553,558,693,703,734,786,824,830,864,
887,1305],[1,2,3,4,5,6,11,12,13,14,15,16,18,20,23,25,26,27,28,29,30,31,32,34,
38,39,40,48,50,52,75,76,77,78,80,81,85,86,87,89,90,92,93,94,95,96,97,99,102,
115,116,118,119,120,121,122,123,144,145,147,148,152,154,160,172,173,180,193,
195,196,197,208,271,272,273,274,276,288,290,291,292,299,314,315,320,390,391,
407,431,432,443,477,513,515,517,518,520,533,547,554,555,556,557,694,704,733,
735,787,825,829,831,863,865,888,1306],[1,2,3,5,11,15,19,22,25,26,29,32,35,38,
44,47,69,71,72,76,82,84,89,101,104,108,111,119,130,133,150,156,158,169,176,
178,200,205,212,277,279,281,286,293,295,329,333,371,374,378,417,419,450,456,
460,474,484,494,505,531,534,689,707,714,744,754,813,815,872,883,1307],[1,2,3,
5,6,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,67,69,72,
75,77,78,80,81,82,84,85,86,92,95,96,97,100,101,102,104,108,114,115,116,119,
120,121,122,123,125,130,156,158,164,169,176,178,181,205,212,280,283,285,287,
288,289,291,292,293,297,298,299,302,329,375,382,394,400,412,447,450,490,494,
505,508,523,527,562,692,699,705,751,761,799,801,875,877,1308],[1,2,3,5,6,7,12,
13,14,15,19,20,22,23,24,25,26,27,29,30,31,32,36,37,38,39,40,42,45,49,67,70,72,
75,77,78,80,81,83,84,85,86,92,95,96,97,100,101,102,105,110,114,115,116,119,
120,121,122,123,126,129,155,157,159,163,165,167,177,179,182,206,213,280,283,
285,287,288,289,291,292,294,297,298,299,303,330,376,381,396,401,411,413,446,
451,489,493,506,507,509,524,526,528,563,692,697,706,752,760,800,802,876,878,
1309],[1,2,3,5,6,7,11,15,19,20,22,24,25,26,29,31,32,36,37,38,40,42,43,49,67,
70,72,76,80,83,84,85,89,90,100,101,105,110,114,116,119,121,124,128,155,157,
159,163,165,168,177,179,183,206,211,279,283,286,290,294,298,304,330,377,383,
396,399,411,413,448,451,491,492,506,507,509,524,526,528,564,691,698,706,753,
759,798,802,874,879,1310],[1,2,3,5,15,19,22,25,26,29,32,35,38,44,47,69,72,82,
84,89,101,104,108,111,119,130,133,150,156,158,169,178,181,185,200,212,265,286,
293,295,321,333,369,371,374,378,419,456,467,484,490,494,505,531,534,688,712,
714,746,754,814,815,880,882,1311],[1,2,3,5,6,11,19,20,22,25,26,29,31,35,38,40,
44,47,67,69,71,76,82,84,85,100,101,104,108,111,116,125,130,133,138,150,158,
164,169,178,181,185,200,212,277,279,281,283,293,295,321,333,369,371,378,417,
419,447,453,456,463,500,523,531,534,539,562,689,709,738,742,744,746,754,811,
816,872,880,1312],[1,3,4,5,6,7,12,20,21,22,23,24,27,28,29,33,34,36,37,39,40,
41,42,44,45,46,48,68,70,73,74,78,79,83,87,100,102,103,105,106,109,110,112,113,
117,125,126,127,131,132,136,137,141,142,143,152,160,166,170,180,184,191,202,
203,204,214,278,280,282,284,294,296,323,334,370,372,373,379,380,418,420,449,
455,458,459,465,466,501,503,504,525,533,535,540,565,690,711,739,743,745,747,
755,812,817,873,881,1313],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,67,
69,82,84,85,100,101,104,108,111,116,125,138,150,156,158,164,169,176,178,200,
205,212,265,283,293,295,329,333,369,371,374,417,419,500,505,508,523,527,531,
534,539,562,688,705,738,741,811,813,814,815,816,882,883,1314],[1,2,5,11,19,22,
25,38,44,47,76,101,176,178,181,185,200,205,212,279,302,321,324,329,333,890,
998,1315],[1,2,5,19,22,25,35,38,44,47,69,71,101,111,178,200,212,215,216,277,
333,336,337,348,364,371,378,417,872,1132,1137,1316],[1,2,3,5,6,19,20,22,25,26,
29,31,38,40,43,44,45,47,49,67,84,85,100,101,116,176,177,181,182,183,211,212,
213,217,219,283,302,303,304,339,344,353,354,356,361,362,363,375,376,377,399,
400,401,411,412,413,874,875,876,1134,1135,1136,1138,1139,1140,1317],[1,3,5,19,
26,29,35,44,47,82,84,151,156,169,178,187,200,265,310,345,348,369,419,421,505,
519,534,814,836,892,952,1067,1318],[1,3,5,7,12,14,22,24,26,32,35,36,43,44,45,
47,49,69,70,72,97,158,159,161,162,167,168,169,176,177,181,182,183,184,269,300,
301,346,353,354,356,381,382,383,397,398,402,403,450,451,489,490,491,521,522,
778,779,839,897,978,979,1083,1084,1085,1319],[1,2,3,5,7,12,14,22,24,25,26,32,
36,43,45,47,49,70,71,72,97,128,150,159,161,167,168,176,177,182,183,189,210,
269,305,332,352,356,361,363,381,383,393,394,403,414,451,460,486,489,491,521,
767,779,840,895,968,980,1077,1080,1090,1320],[1,3,4,5,7,12,14,22,24,26,28,32,
35,36,43,44,45,47,49,69,70,72,73,97,131,132,153,158,159,162,167,168,169,176,
177,181,182,183,192,209,210,269,306,331,332,353,354,355,361,362,363,381,382,
383,395,396,402,403,415,416,450,451,461,485,487,489,490,491,522,768,778,779,
841,894,896,969,970,981,1078,1079,1081,1082,1089,1091,1321],[1,3,5,6,19,20,26,
29,35,44,47,67,82,84,141,151,156,164,169,178,200,203,207,265,316,319,347,348,
364,369,374,419,433,436,495,505,519,523,534,741,814,837,893,976,984,1058,1059,
1072,1322],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,67,69,71,84,85,100,
101,111,116,125,130,133,138,178,181,185,200,203,207,212,277,283,316,319,321,
333,347,348,371,378,417,421,433,447,453,456,463,500,709,855,866,872,921,1107,
1111,1323],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,38,40,41,43,45,46,
48,67,70,73,74,84,85,100,101,103,112,116,124,126,128,129,134,135,139,140,180,
182,183,188,201,204,208,214,278,283,318,320,322,334,350,351,372,379,418,422,
434,446,448,452,454,457,462,464,502,710,856,867,873,922,1108,1112,1324],[1,2,
3,5,15,19,22,25,26,29,32,35,38,44,47,69,71,72,84,89,101,111,119,150,158,176,
178,187,200,205,207,212,277,286,310,319,329,333,345,347,364,371,378,417,436,
450,460,474,531,707,858,872,930,1110,1113,1325],[1,2,3,5,6,19,20,22,25,26,29,
31,35,38,40,43,47,49,67,69,82,84,85,100,101,104,108,116,156,164,176,177,178,
183,205,209,211,283,293,300,304,329,331,346,352,363,377,399,411,416,505,508,
523,527,705,870,874,926,1106,1120,1326],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,
36,37,38,40,42,44,45,47,49,67,70,83,84,85,100,101,105,110,116,155,157,163,165,
176,177,179,181,182,184,206,210,212,213,283,294,301,302,303,330,332,346,355,
361,362,375,376,400,401,412,413,414,415,506,507,509,524,526,528,706,871,875,
876,927,1104,1105,1118,1119,1327],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,
45,49,67,69,71,84,85,100,101,111,116,125,130,133,138,177,181,182,185,189,200,
209,213,277,283,303,305,321,331,354,355,376,393,397,401,413,447,453,456,463,
500,709,844,868,876,925,1117,1121,1328],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,
29,31,33,36,38,40,41,43,44,45,47,49,67,70,73,74,84,85,100,101,103,112,116,124,
126,128,129,134,135,139,140,176,177,181,182,183,188,192,201,210,211,212,278,
283,302,304,306,322,332,352,353,355,356,375,377,395,398,399,400,411,412,446,
448,452,454,457,462,464,502,710,845,869,874,875,923,924,1115,1116,1122,1123,
1329],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,50,67,69,71,84,85,100,101,
111,116,125,130,133,138,181,185,195,197,200,277,283,308,314,321,357,358,386,
404,424,447,453,456,463,500,709,848,861,928,1124,1330],[1,2,3,4,5,6,7,19,20,
22,24,25,26,28,29,31,33,36,38,40,41,43,45,51,52,67,70,73,74,84,85,100,101,103,
112,116,124,126,128,129,134,135,139,140,182,183,188,193,194,196,198,199,201,
278,283,309,313,315,322,359,360,384,385,406,425,426,446,448,452,454,457,462,
464,502,710,849,860,862,929,1125,1126,1331],[1,2,3,5,15,19,22,25,26,29,32,35,
38,47,50,69,71,72,84,89,101,111,119,150,158,176,178,195,205,277,286,308,329,
386,404,450,460,474,531,707,848,1046,1332],[1,2,3,5,15,19,22,25,26,29,32,35,
38,45,47,69,71,72,84,89,101,111,119,150,158,176,178,182,189,205,277,286,305,
329,376,397,450,460,474,531,707,844,1012,1333],[1,2,3,5,15,19,22,25,26,29,32,
35,38,44,51,69,72,82,84,89,101,104,108,119,169,181,185,194,198,200,286,293,
313,321,405,442,467,490,534,712,887,1051,1334],[1,2,3,5,6,17,19,20,22,25,26,
29,31,38,40,44,46,47,67,84,85,88,91,100,101,116,130,133,141,176,181,187,200,
204,212,275,283,302,310,318,375,379,400,412,422,456,470,495,543,700,856,875,
1004,1041,1335],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,31,34,38,40,44,45,49,
67,84,85,87,93,94,99,100,101,116,131,136,139,142,177,182,186,189,200,202,203,
213,276,283,303,311,316,376,378,401,413,421,458,469,471,498,541,542,702,855,
876,1003,1039,1336],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,31,34,38,40,43,45,
46,49,67,84,85,87,93,94,99,100,101,116,131,136,139,142,177,183,186,189,202,
204,211,276,283,304,311,318,377,379,399,411,422,458,469,471,498,541,542,702,
856,874,1002,1040,1337],[1,2,4,5,16,19,22,25,28,35,38,44,45,47,69,71,73,93,
101,111,131,134,139,178,182,189,200,212,268,277,305,333,371,376,378,397,417,
452,471,485,548,722,844,872,1026,1039,1338],[1,3,4,5,6,7,17,18,20,22,24,28,29,
33,36,40,41,43,44,45,46,48,70,73,74,88,94,98,100,103,112,129,130,131,132,136,
137,141,142,180,181,183,184,186,187,190,192,204,214,270,278,306,307,334,372,
375,377,379,398,418,455,469,470,472,488,549,550,551,724,845,873,1025,1027,
1040,1041,1339],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,31,34,38,40,43,45,49,
51,67,84,85,87,93,94,99,100,101,116,131,136,139,142,177,183,186,189,194,198,
202,211,276,283,304,311,313,377,384,399,411,425,458,469,471,498,541,542,702,
860,874,1006,1043,1340],[1,2,3,5,6,17,19,20,22,25,26,29,31,38,40,44,45,49,50,
67,84,85,88,91,100,101,116,130,133,141,177,182,187,195,197,200,213,275,283,
303,310,314,376,386,401,413,424,456,470,495,543,700,861,876,1005,1042,1341],[
1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,31,34,38,40,44,45,47,52,67,84,85,87,93,
94,99,100,101,116,131,136,139,142,176,181,186,189,193,196,202,212,276,283,302,
311,315,375,385,400,412,426,458,469,471,498,541,542,702,862,875,1007,1044,
1342],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,38,40,41,43,45,46,52,67,
70,73,74,84,85,100,101,103,112,116,124,126,128,129,134,135,139,140,182,183,
188,193,196,201,204,278,283,315,318,322,379,385,422,426,446,448,452,454,457,
462,464,502,710,856,862,1009,1048,1343],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,
29,31,33,36,38,40,41,43,44,45,50,67,70,73,74,84,85,100,101,103,112,116,124,
126,128,129,134,135,139,140,182,183,188,195,197,200,201,203,278,283,314,316,
322,378,386,421,424,446,448,452,454,457,462,464,502,710,855,861,1008,1047,
1344],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,46,51,67,69,71,84,85,100,
101,111,116,125,130,133,138,181,185,194,198,200,204,277,283,313,318,321,379,
384,422,425,447,453,456,463,500,709,856,860,1010,1049,1345],[1,2,4,5,16,19,22,
25,28,35,38,44,45,47,50,69,71,73,93,101,111,131,134,139,178,182,189,195,200,
212,268,277,305,308,333,371,378,386,404,417,452,471,485,548,722,848,872,1031,
1047,1346],[1,2,3,4,5,6,7,16,20,22,24,25,28,29,33,36,40,41,43,44,46,48,51,52,
70,71,73,74,93,100,103,112,128,132,133,135,138,140,180,181,183,192,193,194,
199,204,214,268,278,306,309,334,372,379,384,385,406,418,453,454,473,486,487,
552,723,849,873,1032,1033,1048,1049,1347],[1,2,3,5,6,19,20,22,25,26,29,31,35,
38,40,44,45,50,67,69,71,84,85,100,101,111,116,125,130,133,138,181,182,185,189,
195,200,277,283,305,308,321,376,386,397,404,447,453,456,463,500,709,844,848,
1029,1042,1348],[1,3,4,5,6,7,20,21,22,24,28,29,33,34,36,40,41,43,44,45,51,52,
68,70,73,74,87,100,103,112,117,125,126,131,132,136,137,141,142,181,183,184,
191,192,193,194,199,202,203,278,284,306,309,323,375,377,384,385,398,406,449,
455,458,459,465,466,501,503,711,845,849,1028,1030,1043,1044,1349],[1,2,3,5,15,
19,22,25,26,29,32,35,38,47,51,69,71,72,84,89,101,111,119,150,158,176,178,194,
198,205,277,286,313,329,405,442,450,460,474,531,707,887,1011,1045,1350],[1,2,
3,5,15,17,19,22,25,26,29,32,38,44,47,51,72,84,88,89,91,101,119,150,151,158,
176,178,181,194,198,207,212,275,286,302,313,319,382,394,402,405,442,475,519,
531,546,703,846,887,1013,1050,1351],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,
47,48,67,69,82,84,85,100,101,104,108,116,156,164,176,178,180,205,208,283,293,
320,329,418,434,505,508,523,527,705,867,1056,1352],[1,2,3,5,6,7,19,20,22,24,
25,26,29,31,36,37,38,40,42,47,48,49,67,70,83,84,85,100,101,105,110,116,155,
157,163,165,177,178,179,180,206,207,208,283,294,319,320,330,417,418,433,434,
506,507,509,524,526,528,706,866,867,1057,1353],[1,2,3,5,6,19,20,22,25,26,29,
31,35,38,40,47,52,67,69,82,84,85,100,101,104,108,116,156,164,176,178,193,196,
205,283,293,315,329,385,426,505,508,523,527,705,862,1034,1354],[1,2,3,5,6,7,
19,20,22,24,25,26,29,31,36,37,38,40,42,49,50,51,67,70,83,84,85,100,101,105,
110,116,155,157,163,165,177,179,194,195,197,198,206,283,294,313,314,330,384,
386,424,425,506,507,509,524,526,528,706,860,861,1035,1355],[1,2,3,5,6,7,19,20,
22,24,25,26,29,31,36,37,38,40,42,46,49,50,67,70,83,84,85,100,101,105,110,116,
155,157,163,165,177,179,195,197,204,206,283,294,314,318,330,379,386,422,424,
506,507,509,524,526,528,706,856,861,1036,1356],[1,2,3,5,6,19,20,22,25,26,29,
31,35,38,40,46,47,51,67,69,82,84,85,100,101,104,108,116,156,164,176,178,194,
198,204,205,283,293,313,318,329,379,384,422,425,505,508,523,527,705,856,860,
1037,1357],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,36,37,38,40,42,44,49,52,67,70,
83,84,85,100,101,105,110,116,155,157,163,165,177,179,193,196,200,203,206,283,
294,315,316,330,378,385,421,426,506,507,509,524,526,528,706,855,862,1038,
1358],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,38,40,41,43,45,48,51,67,
70,73,74,84,85,100,101,103,112,116,124,126,128,129,134,135,139,140,180,182,
183,188,194,198,201,208,278,283,313,320,322,384,418,425,434,446,448,452,454,
457,462,464,502,710,860,867,1022,1032,1359],[1,2,3,5,6,19,20,22,25,26,29,31,
35,38,40,44,48,52,67,69,71,84,85,100,101,111,116,125,130,133,138,180,181,185,
193,196,200,208,277,283,315,320,321,385,418,426,434,447,453,456,463,500,709,
862,867,1023,1033,1360],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,38,40,
41,43,45,47,50,67,70,73,74,84,85,100,101,103,112,116,124,126,128,129,134,135,
139,140,178,182,183,188,195,197,201,207,278,283,314,319,322,386,417,424,433,
446,448,452,454,457,462,464,502,710,861,866,1021,1031,1361],[1,2,3,4,5,6,16,
18,19,20,22,25,26,28,29,31,34,38,40,44,45,47,48,67,84,85,87,93,94,99,100,101,
116,131,136,139,142,176,180,181,186,189,202,208,212,276,283,302,311,320,375,
400,412,418,434,458,469,471,498,541,542,702,867,875,1019,1027,1362],[1,2,3,5,
6,17,19,20,22,25,26,29,31,38,40,43,44,48,49,67,84,85,88,91,100,101,116,130,
133,141,177,180,183,187,200,208,211,275,283,304,310,320,377,399,411,418,434,
456,470,495,543,700,867,874,1020,1025,1363],[1,2,3,4,5,6,16,18,19,20,22,25,26,
28,29,31,34,38,40,45,47,49,67,84,85,87,93,94,99,100,101,116,131,136,139,142,
177,178,182,186,189,202,207,213,276,283,303,311,319,376,401,413,417,433,458,
469,471,498,541,542,702,866,876,1018,1026,1364],[1,2,3,5,6,19,20,21,22,25,26,
29,31,38,40,44,45,49,50,67,68,84,85,100,101,116,125,138,141,177,182,195,197,
200,203,213,266,283,303,314,316,376,386,401,413,424,495,497,500,501,727,861,
876,1016,1029,1365],[1,2,3,5,6,19,20,21,22,25,26,29,31,38,40,44,47,51,67,68,
84,85,100,101,116,125,138,141,176,181,194,198,200,203,212,266,283,302,313,316,
375,384,400,412,425,495,497,500,501,727,860,875,1017,1028,1366],[1,2,3,5,6,19,
20,21,22,25,26,29,31,38,40,43,44,49,52,67,68,84,85,100,101,116,125,138,141,
177,183,193,196,200,203,211,266,283,304,315,316,377,385,399,411,426,495,497,
500,501,727,862,874,1015,1030,1367],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,
47,49,67,69,82,84,85,100,101,104,108,116,156,164,176,177,178,205,209,283,293,
329,331,444,445,505,508,523,527,705,889,1052,1054,1368],[1,2,5,7,19,22,24,25,
35,36,38,44,47,49,69,70,82,101,104,107,108,157,162,163,177,178,200,209,212,
267,293,331,333,369,374,419,444,445,522,528,529,560,736,882,889,1053,1055,
1369],[1,2,4,5,16,19,22,25,28,35,38,44,45,47,49,69,71,73,93,101,111,131,134,
139,177,178,182,189,200,209,212,268,277,305,331,333,371,378,393,413,417,452,
471,485,548,722,868,872,1003,1018,1370],[1,3,4,5,6,7,17,18,20,22,24,28,29,33,
36,40,41,44,45,46,47,48,49,70,73,74,88,94,98,100,103,112,129,130,131,132,136,
137,141,142,176,177,180,184,186,187,190,204,210,214,270,278,307,332,334,372,
379,395,411,412,418,455,469,470,472,488,549,550,551,724,869,873,1002,1004,
1019,1020,1371],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,49,50,67,69,71,84,
85,100,101,111,116,125,130,133,138,177,181,185,195,200,209,277,283,308,321,
331,386,393,404,413,447,453,456,463,500,709,848,868,1005,1016,1372],[1,3,4,5,
6,7,20,21,22,24,28,29,33,34,36,40,41,44,45,47,49,51,52,68,70,73,74,87,100,103,
112,117,125,126,131,132,136,137,141,142,176,177,184,191,193,194,199,202,203,
210,278,284,309,323,332,384,385,395,406,411,412,449,455,458,459,465,466,501,
503,711,849,869,1006,1007,1015,1017,1373],[1,2,3,5,15,19,22,25,26,29,32,35,38,
47,49,50,69,71,72,84,89,101,111,119,150,158,176,177,178,195,205,209,277,286,
308,329,331,386,393,404,413,450,460,474,531,707,848,868,1014,1374],[1,2,5,7,
19,22,24,25,35,36,38,43,44,47,50,69,70,71,101,107,111,124,128,178,183,195,200,
212,267,277,300,308,333,371,378,386,404,417,448,486,695,848,872,1008,1021,
1375],[1,3,4,5,6,7,20,22,24,28,29,33,35,36,40,41,44,45,46,48,51,52,69,70,73,
74,100,103,107,112,125,126,129,130,131,132,180,181,182,184,193,194,199,204,
214,267,278,301,309,334,372,379,384,385,406,418,446,447,449,485,487,488,696,
849,873,1009,1010,1022,1023,1376],[1,2,3,5,15,19,22,25,26,29,32,35,38,44,49,
69,72,82,84,89,101,104,108,119,169,177,181,185,200,209,286,293,321,331,444,
445,467,490,534,712,889,1024,1377],[1,2,5,11,19,22,25,35,38,44,47,69,71,76,82,
101,104,108,111,176,178,181,185,200,205,212,277,279,281,293,295,302,321,324,
329,333,369,371,374,378,417,419,689,872,880,882,883,890,1378],[1,2,3,5,6,11,
15,19,20,22,25,26,29,31,32,38,40,44,47,67,72,76,80,84,85,89,90,100,101,114,
116,119,121,176,178,181,185,200,205,212,279,283,286,290,298,302,321,324,329,
333,375,382,394,400,402,412,691,846,853,875,877,890,1379],[1,2,3,5,6,12,13,14,
15,19,20,22,23,25,26,27,29,30,31,32,38,39,40,43,45,49,67,72,75,77,78,80,81,84,
85,86,92,95,96,97,100,101,102,114,115,116,119,120,121,122,123,177,179,182,183,
188,201,206,211,213,280,283,285,287,288,289,291,292,297,298,299,303,304,322,
325,330,335,376,377,381,383,396,399,401,403,411,413,692,847,852,854,874,876,
878,879,891,1380],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,67,
69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,
138,150,156,158,164,169,176,178,181,185,200,205,212,277,279,281,283,286,290,
293,295,298,302,321,324,329,333,447,450,453,456,460,463,467,474,484,490,494,
500,505,508,523,527,531,534,539,562,689,691,699,705,707,709,712,714,718,719,
738,890,1381],[1,2,3,4,5,6,7,12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,
32,33,36,37,38,39,40,41,42,43,45,49,67,70,72,73,74,75,77,78,79,80,81,83,84,85,
86,92,95,96,97,100,101,102,103,105,106,109,110,112,113,114,115,116,119,120,
121,122,123,124,126,128,129,134,135,139,140,153,155,157,159,163,165,167,168,
177,179,182,183,188,201,206,211,213,278,280,282,283,285,287,288,289,291,292,
294,296,297,298,299,303,304,322,325,330,335,446,448,451,452,454,457,461,462,
464,468,476,482,483,489,491,492,493,502,506,507,509,524,526,528,532,536,537,
538,563,564,690,692,697,698,706,708,710,713,715,716,717,720,721,740,891,
1382],[1,2,3,5,6,19,20,21,22,25,26,29,31,35,38,40,44,47,67,68,69,82,84,85,100,
101,104,108,116,125,138,141,156,164,176,178,200,203,205,207,266,283,293,316,
319,329,364,417,419,433,495,497,500,501,505,508,523,527,705,727,762,816,866,
974,976,1072,1383],[1,2,3,5,6,7,19,20,21,22,24,25,26,29,31,36,37,38,40,42,44,
48,49,67,68,70,83,84,85,100,101,105,110,116,125,138,141,155,157,163,165,166,
177,179,180,200,203,206,208,266,283,294,316,320,330,365,418,420,434,435,495,
497,500,501,506,507,509,524,525,526,528,706,727,763,817,867,975,977,1073,
1384],[1,2,3,4,5,15,16,19,22,25,26,28,29,32,35,38,45,47,49,69,71,72,73,84,89,
93,101,111,119,131,134,139,150,153,158,176,177,178,182,189,205,209,268,277,
286,305,329,331,361,381,393,395,413,450,452,460,461,471,474,485,531,548,707,
722,769,772,868,966,980,1081,1385],[1,2,3,4,5,6,7,13,14,16,20,22,24,25,26,27,
28,29,30,32,33,36,40,41,43,44,47,49,70,71,72,73,74,86,92,93,100,103,112,123,
128,132,133,135,138,140,150,153,159,176,177,179,181,183,192,206,210,268,278,
287,306,330,332,362,363,382,383,393,395,411,412,451,453,454,460,461,473,476,
486,487,532,552,708,723,769,770,771,869,965,967,981,1080,1082,1386],[1,2,3,5,
7,15,19,22,24,25,26,29,32,35,36,38,43,45,47,69,70,71,72,84,89,101,107,111,119,
124,128,150,158,167,176,178,182,183,189,205,267,277,286,300,305,329,356,376,
397,403,414,448,450,460,474,486,489,531,695,707,775,803,844,963,978,1090,
1387],[1,3,4,5,6,7,13,14,20,22,24,26,27,28,29,30,32,33,35,36,40,41,43,44,45,
49,69,70,72,73,74,86,92,100,103,107,112,123,125,126,129,130,131,132,153,159,
168,169,177,179,181,182,183,184,192,206,267,278,287,301,306,330,353,354,375,
377,398,402,403,415,416,446,447,449,451,461,476,485,487,488,490,491,532,696,
708,773,774,804,845,962,964,979,1089,1091,1388],[1,2,3,5,6,17,19,20,22,25,26,
29,31,35,38,40,44,47,67,69,82,84,85,88,91,100,101,104,108,116,130,133,141,156,
164,169,176,178,187,200,203,205,275,283,293,310,316,329,348,369,378,421,436,
456,470,495,505,508,523,527,534,543,700,705,746,793,855,950,952,1059,1389],[1,
2,3,4,5,6,7,16,18,19,20,22,24,25,26,28,29,31,34,36,37,38,40,42,45,46,49,67,70,
83,84,85,87,93,94,99,100,101,105,110,116,131,136,139,142,155,157,163,165,170,
177,179,186,189,202,204,206,276,283,294,311,318,330,349,370,379,422,438,458,
469,471,498,506,507,509,524,526,528,535,541,542,702,706,747,794,856,951,953,
1061,1390],[1,2,3,5,15,17,19,22,25,26,29,32,35,38,44,47,69,72,82,84,88,89,91,
101,104,108,119,150,151,156,158,169,178,181,185,187,200,207,275,286,293,310,
319,321,348,364,371,374,419,421,436,467,475,490,505,519,531,534,546,703,712,
793,815,858,954,984,1058,1067,1391],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,
31,34,35,38,40,45,47,50,67,69,82,84,85,87,93,94,99,100,101,104,108,116,131,
136,139,142,156,164,173,176,178,186,189,195,197,202,205,276,283,293,311,314,
329,368,386,387,424,429,458,469,471,480,498,505,508,523,527,541,542,702,705,
756,796,861,958,959,1069,1392],[1,2,3,5,6,7,17,19,20,22,24,25,26,29,31,36,37,
38,40,42,44,49,52,67,70,83,84,85,88,91,100,101,105,110,116,130,133,141,155,
157,163,165,174,177,179,187,193,196,200,206,275,283,294,310,315,330,367,385,
388,426,428,456,470,479,495,506,507,509,524,526,528,543,700,706,758,797,862,
956,961,1070,1393],[1,2,3,4,5,6,7,16,18,19,20,22,24,25,26,28,29,31,34,36,37,
38,40,42,45,49,51,67,70,83,84,85,87,93,94,99,100,101,105,110,116,131,136,139,
142,155,157,163,165,175,177,179,186,189,194,198,202,206,276,283,294,311,313,
330,366,384,389,425,427,458,469,471,478,498,506,507,509,524,526,528,541,542,
702,706,757,795,860,957,960,1071,1394],[1,2,3,5,6,15,19,20,22,25,26,29,31,32,
35,38,40,44,47,67,69,71,72,84,85,89,100,101,111,116,119,125,130,133,138,141,
150,151,158,176,178,181,185,200,205,212,277,283,286,321,329,333,348,364,371,
378,417,421,433,436,447,450,453,456,460,463,474,495,500,519,531,707,709,788,
791,832,872,950,954,974,1062,1065,1395],[1,3,4,5,6,7,13,14,20,21,22,24,26,27,
28,29,30,32,33,34,36,40,41,44,45,46,48,49,68,70,72,73,74,86,87,92,100,103,112,
117,123,125,126,131,132,136,137,141,142,143,153,154,159,177,179,180,184,191,
202,203,204,206,214,278,284,287,323,330,334,349,365,372,379,418,423,435,437,
438,449,451,455,458,459,461,465,466,476,499,501,503,520,532,708,711,789,792,
834,873,951,955,975,1064,1066,1396],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,
33,35,36,38,40,41,43,45,47,49,67,69,70,73,74,82,84,85,100,101,103,104,108,112,
116,124,126,128,129,131,134,135,139,140,156,162,164,176,177,178,182,183,188,
201,205,213,278,283,293,303,322,329,356,361,376,395,397,401,413,414,416,446,
448,452,454,457,462,464,485,502,505,508,522,523,527,705,710,749,805,810,876,
963,966,973,1074,1088,1397],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,
37,38,40,41,42,43,44,45,47,49,67,70,73,74,83,84,85,100,101,103,105,110,112,
116,124,126,128,129,132,134,135,139,140,155,157,161,163,165,176,177,179,181,
182,183,188,201,206,212,278,283,294,302,322,330,354,363,375,395,398,400,412,
414,415,446,448,452,454,457,462,464,487,502,506,507,509,521,524,526,528,706,
710,748,806,809,875,964,965,972,1076,1086,1398],[1,2,3,5,6,7,19,20,22,24,25,
26,29,31,35,36,37,38,40,42,43,44,49,67,69,70,71,83,84,85,100,101,105,110,111,
116,125,128,130,133,138,155,157,162,163,165,177,179,181,183,185,200,206,211,
277,283,294,304,321,330,353,362,377,393,398,399,411,415,416,447,453,456,463,
486,500,506,507,509,522,524,526,528,706,709,750,807,808,874,962,967,971,1075,
1087,1399],[1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,44,49,69,70,72,82,
84,89,101,104,107,108,119,157,159,162,163,168,169,177,181,183,185,200,209,267,
286,293,300,321,331,353,362,383,396,398,399,415,416,451,467,490,491,522,528,
529,534,560,712,736,759,804,870,970,971,1079,1084,1400],[1,3,5,6,7,13,14,20,
22,24,26,27,29,30,32,35,36,37,40,42,43,44,45,47,49,69,70,72,83,86,92,100,105,
107,110,123,155,156,158,159,161,162,164,165,167,168,169,176,177,181,182,183,
184,188,201,210,267,287,294,301,322,332,354,356,361,363,381,382,394,396,397,
398,400,401,414,415,416,450,451,468,489,490,491,521,522,526,527,530,536,561,
713,737,760,761,803,804,871,968,969,972,973,1077,1078,1083,1085,1401],[1,2,3,
4,5,15,16,19,22,25,26,28,29,32,35,38,45,47,50,69,71,72,73,84,89,93,101,111,
119,131,134,139,147,150,158,176,178,182,189,195,205,268,277,286,305,308,329,
368,386,404,429,439,450,452,460,471,474,485,513,531,548,707,722,821,822,848,
959,982,1094,1402],[1,3,4,5,6,7,13,14,17,18,20,22,24,26,27,28,29,30,32,33,36,
40,41,44,45,49,51,52,70,72,73,74,86,88,92,94,98,100,103,112,123,129,130,131,
132,136,137,141,142,148,149,153,159,177,179,184,186,187,190,193,194,199,206,
270,278,287,307,309,330,366,367,384,385,406,427,428,440,441,451,455,461,469,
470,472,476,488,514,515,532,549,550,551,708,724,819,820,823,849,960,961,983,
1095,1096,1403],[1,3,5,17,22,26,32,35,43,45,47,69,72,91,151,158,176,182,183,
207,215,300,356,397,403,450,475,583,898,978,1012,1404],[1,2,3,4,5,6,16,18,20,
22,25,28,29,34,40,44,45,46,49,51,71,87,93,94,100,131,133,134,136,137,138,142,
177,179,181,186,189,190,191,194,202,204,206,218,330,349,362,366,379,384,393,
411,427,438,453,458,469,512,545,548,568,581,590,918,951,960,967,1002,1006,
1049,1405],[1,3,4,5,6,17,18,20,22,28,29,34,40,43,44,45,46,47,49,52,73,87,88,
94,100,130,131,135,136,137,140,141,176,177,179,183,187,188,190,192,193,202,
204,206,217,330,349,363,367,379,385,395,412,428,438,454,458,470,511,544,551,
567,576,586,916,951,961,965,1004,1007,1048,1406],[1,2,3,4,5,16,18,19,22,25,26,
28,29,38,44,45,47,49,50,73,84,93,94,101,130,131,133,134,136,137,139,176,177,
178,182,186,189,190,191,195,200,205,218,329,348,361,368,378,386,395,413,429,
436,452,456,471,512,542,551,568,582,589,917,950,959,966,1003,1005,1047,1407],[
1,3,4,5,6,18,20,22,28,29,34,35,40,43,44,45,46,49,51,69,73,87,94,100,125,130,
131,136,137,142,177,179,181,182,183,186,190,191,194,202,204,206,218,330,349,
353,366,377,379,384,416,427,438,447,458,466,469,485,551,572,581,582,904,951,
960,962,1010,1040,1043,1408],[1,2,3,4,5,7,16,19,22,24,25,26,28,29,33,36,38,43,
44,45,47,50,70,74,84,93,101,124,128,129,130,131,132,133,135,139,176,178,182,
183,184,188,189,192,195,200,205,217,329,348,356,368,376,378,386,414,429,436,
448,456,462,471,488,552,569,576,580,902,950,959,963,1008,1039,1042,1409],[1,3,
4,5,6,7,17,20,22,24,28,29,33,34,36,40,44,45,46,49,52,70,74,87,88,100,126,129,
130,131,132,136,141,177,179,181,182,184,186,187,191,193,202,204,206,218,330,
349,354,367,375,379,385,415,428,438,446,458,465,470,488,549,571,578,582,903,
951,961,964,1009,1041,1044,1410],[1,2,3,5,15,17,22,25,26,32,45,47,49,50,71,72,
89,91,150,151,158,176,177,182,189,195,205,207,215,305,361,368,381,393,404,439,
460,474,475,546,583,593,912,980,982,1014,1046,1411],[1,2,4,5,6,7,16,19,20,22,
24,25,28,36,38,41,43,44,45,47,50,67,70,93,101,103,124,125,126,128,131,132,138,
139,140,176,178,182,183,184,189,192,195,200,201,205,217,329,356,364,368,376,
386,414,417,429,433,448,449,471,473,500,502,569,574,575,901,959,963,974,1021,
1026,1029,1412],[1,3,5,6,17,20,21,22,29,35,40,43,44,48,49,52,68,69,88,100,125,
130,141,177,179,180,181,183,187,193,203,206,216,330,353,365,367,377,385,416,
418,428,435,447,470,501,573,899,961,962,975,1023,1025,1030,1413],[1,3,4,5,6,7,
18,20,21,22,24,28,29,36,40,41,44,45,48,49,51,68,70,94,100,103,125,126,129,131,
132,141,142,177,179,180,181,182,184,186,190,194,202,203,206,218,330,354,365,
366,375,384,415,418,427,435,446,449,469,472,501,503,570,571,572,900,960,964,
975,1022,1027,1028,1414],[1,3,5,7,19,26,29,35,36,42,44,47,49,52,82,84,105,107,
155,156,161,162,163,178,187,193,200,206,209,210,219,310,348,367,369,388,421,
426,505,507,530,560,592,594,913,952,956,1034,1038,1415],[1,2,3,5,6,7,20,25,29,
31,35,36,37,38,42,45,46,47,49,50,51,83,85,104,105,107,155,156,157,161,162,164,
165,179,186,189,194,195,202,204,205,206,209,210,219,311,349,366,368,370,387,
389,422,424,425,506,508,509,529,530,561,591,592,595,914,953,957,958,1035,1036,
1037,1416],[1,2,4,5,6,16,19,20,22,25,28,34,38,44,45,47,49,50,67,73,87,93,101,
125,131,134,137,138,139,142,176,177,178,182,189,190,191,195,200,202,205,218,
329,361,364,368,386,395,413,417,429,433,452,466,471,498,500,545,572,589,590,
908,959,966,974,1016,1018,1031,1417],[1,2,3,5,6,17,20,21,22,25,29,31,40,44,48,
49,52,68,71,85,88,100,125,130,133,138,141,177,179,180,181,185,187,193,203,206,
216,330,362,365,367,385,393,411,418,428,435,453,463,470,497,501,543,573,587,
909,961,967,975,1015,1020,1033,1418],[1,3,4,5,6,18,20,21,22,28,29,34,40,43,44,
45,47,48,49,51,68,73,87,94,100,125,131,135,137,140,141,142,176,177,179,180,
183,186,191,192,194,201,203,206,217,330,363,365,366,384,395,412,418,427,435,
454,466,469,496,501,544,575,585,588,907,960,965,975,1017,1019,1032,1419],[1,5,
6,7,19,20,35,36,37,44,47,48,49,67,82,83,107,161,162,163,164,165,178,179,180,
200,203,209,210,219,316,364,365,419,420,433,434,523,524,560,561,594,595,915,
976,977,1056,1057,1420],[1,3,4,5,6,17,18,20,21,22,28,29,34,35,40,43,44,45,68,
69,73,87,88,94,100,125,130,131,135,136,137,140,141,142,181,182,183,186,187,
188,190,191,192,201,202,203,216,217,218,300,306,312,317,322,326,328,338,339,
342,343,447,454,458,466,469,470,485,496,501,511,544,551,566,567,572,573,575,
576,581,582,584,585,586,588,899,904,907,916,932,937,941,944,1001,1421],[1,2,3,
4,5,6,7,16,17,18,20,21,22,24,25,28,29,31,33,34,36,40,41,43,44,45,68,70,71,74,
85,87,88,93,94,100,103,125,126,128,129,130,131,132,133,134,135,136,137,138,
140,141,142,181,182,183,184,185,186,187,188,189,190,191,192,201,202,203,216,
217,218,301,305,307,311,312,317,322,323,326,327,328,338,339,340,341,342,343,
446,449,453,455,457,458,463,464,465,469,470,472,473,486,488,496,497,501,503,
511,512,541,543,545,548,549,552,567,568,570,571,572,573,574,575,576,577,578,
579,580,581,582,584,585,586,587,588,590,900,903,905,909,910,918,920,932,933,
934,935,938,941,943,946,947,1000,1001,1422],[1,2,3,4,5,6,7,16,18,19,20,22,24,
25,26,28,29,33,34,36,38,41,43,44,45,67,70,73,74,84,87,93,94,101,103,124,125,
126,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,181,182,183,
184,185,186,187,188,189,190,191,192,200,201,202,203,216,217,218,301,306,307,
310,312,316,321,323,327,328,337,338,339,340,341,342,343,448,449,452,455,456,
459,462,465,466,471,472,473,487,488,495,498,500,502,510,512,542,544,545,550,
551,552,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,
584,585,586,587,588,589,590,901,902,906,908,911,917,919,931,933,936,937,938,
940,942,945,947,999,1000,1001,1423],[1,3,5,7,17,22,24,26,32,35,36,45,47,69,70,
72,91,107,151,158,167,176,182,207,215,267,397,414,450,475,489,583,803,898,
1012,1424],[1,3,4,5,6,12,18,20,22,23,27,28,29,34,35,39,40,44,45,47,48,52,69,
73,78,87,94,100,102,125,130,131,136,137,142,145,152,156,160,164,172,176,180,
181,182,186,190,191,193,202,218,280,373,385,400,409,412,418,447,458,466,469,
485,527,533,551,554,572,581,582,745,781,799,904,1007,1019,1023,1425],[1,3,4,5,
6,7,12,17,20,22,23,24,27,28,29,33,34,36,39,40,44,45,48,49,51,70,74,78,87,88,
100,102,126,129,130,131,132,136,141,146,152,155,160,165,171,177,180,182,184,
186,187,191,194,202,218,280,373,384,401,408,411,418,446,458,465,470,488,526,
533,549,553,571,578,582,745,782,800,903,1006,1020,1022,1426],[1,2,3,4,5,7,11,
16,19,22,24,25,26,28,29,33,36,38,43,44,45,47,49,50,70,74,76,84,93,101,124,128,
129,130,131,132,133,135,139,144,150,157,158,163,173,177,178,183,184,188,189,
192,195,200,217,279,371,386,399,410,413,417,448,456,462,471,488,528,531,552,
555,569,576,580,744,780,798,902,1005,1018,1021,1427],[1,3,4,5,6,7,12,18,20,21,
22,23,24,27,28,29,36,39,40,41,44,45,46,49,52,68,70,78,94,100,102,103,125,126,
127,129,131,132,141,142,143,145,155,165,172,177,182,184,186,190,193,202,203,
204,218,280,379,380,385,401,409,411,446,449,469,472,501,503,504,526,554,570,
571,572,743,781,800,900,1002,1009,1015,1428],[1,3,5,6,12,17,20,21,22,23,27,29,
35,39,40,44,46,47,51,68,69,78,88,100,102,125,127,130,141,143,146,156,164,171,
176,181,187,194,203,204,216,280,379,380,384,400,408,412,447,470,501,504,527,
553,573,743,782,799,899,1004,1010,1017,1429],[1,2,4,5,6,7,11,16,19,20,22,24,
25,28,36,38,41,43,44,45,49,50,67,70,76,93,101,103,124,125,126,128,131,132,138,
139,140,144,157,163,173,177,183,184,189,192,195,200,201,217,279,378,386,399,
410,413,448,449,471,473,500,502,528,555,569,574,575,742,780,798,901,1003,1008,
1016,1430],[1,3,5,6,14,17,20,22,26,29,30,32,35,39,40,47,51,69,72,81,91,100,
115,120,149,151,156,158,164,171,176,198,207,215,297,392,394,405,412,450,475,
527,558,583,786,801,898,1011,1013,1431],[1,3,4,5,6,7,18,20,22,24,28,29,34,35,
36,37,40,42,44,45,46,49,51,69,70,73,83,87,94,100,105,110,125,130,131,136,137,
142,162,170,175,177,181,182,186,190,191,194,202,204,218,294,370,379,384,389,
411,415,447,458,466,469,478,485,522,535,551,572,581,582,747,757,808,904,1002,
1006,1010,1432],[1,3,4,5,6,7,17,20,22,24,28,29,33,34,36,37,40,42,44,45,46,47,
52,70,74,83,87,88,100,105,110,126,129,130,131,132,136,141,161,170,174,176,182,
184,186,187,191,193,202,204,218,294,370,379,385,388,412,414,446,458,465,470,
479,488,521,535,549,571,578,582,747,758,809,903,1004,1007,1009,1433],[1,2,3,4,
5,7,16,19,22,24,25,26,28,29,33,35,36,38,43,44,45,49,50,69,70,74,82,84,93,101,
104,108,124,128,129,130,131,132,133,135,139,162,169,173,177,183,184,188,189,
192,195,200,217,293,369,378,386,387,413,416,448,456,462,471,480,488,522,534,
552,569,576,580,746,756,810,902,1003,1005,1008,1434],[1,3,4,5,6,13,14,18,20,
22,26,27,28,29,30,32,34,35,40,44,45,48,52,69,72,73,86,87,92,94,100,123,125,
130,131,136,137,142,148,154,169,180,181,182,186,190,191,193,202,218,287,375,
385,402,418,437,441,447,458,466,469,485,490,515,520,551,572,581,582,774,792,
819,904,1023,1027,1044,1435],[1,3,4,5,6,7,13,14,17,20,22,24,26,27,28,29,30,32,
33,34,36,40,43,44,45,48,51,70,72,74,86,87,88,92,100,123,126,129,130,131,132,
136,141,149,154,168,180,182,183,184,186,187,191,194,202,218,287,377,384,403,
418,437,440,446,458,465,470,488,491,514,520,549,571,578,582,773,792,820,903,
1022,1025,1043,1436],[1,2,3,4,5,7,15,16,19,22,24,25,26,28,29,32,33,36,38,43,
44,45,47,50,70,72,74,84,89,93,101,119,124,128,129,130,131,132,133,135,139,147,
151,167,178,182,183,184,188,189,192,195,200,217,286,376,386,403,417,436,439,
448,456,462,471,488,489,513,519,552,569,576,580,775,791,821,902,1021,1026,
1042,1437],[1,3,4,5,6,7,13,14,18,20,21,22,24,26,27,28,29,30,32,36,40,41,43,44,
45,46,52,68,70,72,86,92,94,100,103,123,125,126,129,131,132,141,142,143,148,
168,182,183,184,186,190,193,202,203,204,218,287,377,379,385,403,423,441,446,
449,469,472,491,499,501,503,515,570,571,572,773,789,819,900,1009,1030,1040,
1438],[1,3,5,6,13,14,17,20,21,22,26,27,29,30,32,35,40,44,46,51,68,69,72,86,88,
92,100,123,125,130,141,143,149,169,181,187,194,203,204,216,287,375,379,384,
402,423,440,447,470,490,499,501,514,573,774,789,820,899,1010,1028,1041,1439],[
1,2,3,4,5,6,7,15,16,19,20,22,24,25,26,28,29,32,36,38,41,43,44,45,50,67,70,72,
84,89,93,101,103,119,124,125,126,128,131,132,138,139,140,141,147,167,182,183,
184,189,192,195,200,201,217,286,376,378,386,403,421,439,448,449,471,473,489,
495,500,502,513,569,574,575,775,788,821,901,1008,1029,1039,1440],[1,3,4,5,6,
13,14,18,20,21,22,26,27,28,29,30,32,34,40,43,44,45,46,49,52,68,72,73,86,87,92,
94,100,123,125,131,135,137,140,141,142,143,148,153,177,183,186,191,192,193,
201,203,204,217,287,379,383,385,411,423,441,454,461,466,469,496,499,501,515,
544,575,585,588,770,789,819,907,1002,1015,1048,1441],[1,2,3,5,6,13,14,17,20,
21,22,25,26,27,29,30,31,32,40,44,46,47,51,68,71,72,85,86,88,92,100,123,125,
130,133,138,141,143,149,150,176,181,185,187,194,203,204,216,287,379,382,384,
412,423,440,453,460,463,470,497,499,501,514,543,573,587,771,789,820,909,1004,
1017,1049,1442],[1,2,3,4,5,6,15,16,19,20,22,25,26,28,29,32,34,38,44,45,49,50,
67,72,73,84,87,89,93,101,119,125,131,134,137,138,139,141,142,147,153,177,182,
189,190,191,195,200,202,218,286,378,381,386,413,421,439,452,461,466,471,495,
498,500,513,545,572,589,590,772,788,821,908,1003,1016,1047,1443],[1,2,3,5,6,
12,17,20,21,22,23,25,27,29,31,39,40,44,46,51,68,71,78,85,88,100,102,125,127,
130,133,138,141,143,146,171,181,185,187,194,203,204,216,280,375,379,380,384,
408,453,463,470,497,501,504,543,553,573,587,743,764,782,909,1028,1041,1049,
1444],[1,3,4,5,6,12,18,20,21,22,23,27,28,29,34,39,40,43,44,45,46,52,68,73,78,
87,94,100,102,125,127,131,135,137,140,141,142,143,145,172,183,186,191,192,193,
201,203,204,217,280,377,379,380,385,409,454,466,469,496,501,504,544,554,575,
585,588,743,765,781,907,1030,1040,1048,1445],[1,2,4,5,6,11,16,19,20,22,25,28,
34,38,44,45,50,67,73,76,87,93,101,125,131,134,137,138,139,142,144,173,182,189,
190,191,195,200,202,218,279,376,378,386,410,452,466,471,498,500,545,555,572,
589,590,742,766,780,908,1029,1039,1047,1446],[1,2,3,4,5,6,13,14,16,18,20,22,
25,26,27,28,29,30,32,34,40,44,45,47,48,52,71,72,86,87,92,93,94,100,123,131,
133,134,136,137,138,142,148,150,154,176,180,181,186,189,190,191,193,202,218,
287,382,385,412,418,437,441,453,458,460,469,512,515,520,545,548,568,581,590,
771,792,819,918,1007,1019,1033,1447],[1,3,4,5,6,13,14,17,18,20,22,26,27,28,29,
30,32,34,40,43,44,45,48,49,51,72,73,86,87,88,92,94,100,123,130,131,135,136,
137,140,141,149,153,154,177,180,183,187,188,190,192,194,202,217,287,383,384,
411,418,437,440,454,458,461,470,511,514,520,544,551,567,576,586,770,792,820,
916,1006,1020,1032,1448],[1,2,3,4,5,15,16,18,19,22,25,26,28,29,32,38,44,45,47,
49,50,72,73,84,89,93,94,101,119,130,131,133,134,136,137,139,147,151,153,177,
178,182,186,189,190,191,195,200,218,286,381,386,413,417,436,439,452,456,461,
471,512,513,519,542,551,568,582,589,772,791,821,917,1005,1018,1031,1449],[1,2,
3,4,5,15,16,17,22,25,26,28,32,47,49,50,71,72,73,89,91,93,147,150,151,153,158,
176,177,195,205,207,215,268,393,395,404,429,460,461,474,475,513,546,583,593,
769,822,912,1014,1046,1450],[1,2,3,5,12,14,15,17,22,25,26,32,47,51,71,72,89,
91,97,146,149,150,151,158,176,198,205,207,215,269,394,405,430,460,474,475,516,
546,583,593,767,824,912,1013,1045,1451],[1,3,5,12,14,17,22,26,32,35,44,47,51,
69,72,91,97,146,149,151,158,169,176,181,198,207,215,269,382,402,405,430,450,
475,490,516,583,778,824,898,1011,1050,1452],[1,2,3,4,5,16,18,19,22,25,26,28,
29,35,38,44,45,50,69,73,82,84,93,94,101,104,108,130,131,133,134,136,137,139,
169,173,182,186,189,190,191,195,200,218,293,369,376,378,386,387,397,452,456,
471,480,485,512,534,542,551,568,582,589,746,749,756,917,1039,1042,1047,1453],[
1,2,3,4,5,6,7,16,18,20,22,24,25,28,29,34,36,37,40,42,43,44,45,46,51,70,71,83,
87,93,94,100,105,110,128,131,133,134,136,137,138,142,170,175,181,183,186,189,
190,191,194,202,204,218,294,370,377,379,384,389,398,453,458,469,478,486,512,
535,545,548,568,581,590,747,750,757,918,1040,1043,1049,1454],[1,3,4,5,6,7,17,
18,20,22,24,28,29,34,36,37,40,42,43,44,45,46,52,70,73,83,87,88,94,100,105,110,
130,131,132,135,136,137,140,141,170,174,181,183,187,188,190,192,193,202,204,
217,294,370,375,379,385,388,398,454,458,470,479,487,511,535,544,551,567,576,
586,747,748,758,916,1041,1044,1048,1455],[1,2,3,5,6,14,15,17,20,22,25,26,29,
30,32,39,40,44,47,51,71,72,81,89,91,100,115,120,133,138,149,150,151,158,171,
176,181,198,205,207,215,297,392,400,402,405,453,460,474,475,546,558,583,593,
776,786,912,1045,1050,1456],[1,3,4,5,6,12,17,18,20,22,23,27,28,29,34,39,40,43,
44,45,48,51,73,78,87,88,94,100,102,130,131,135,136,137,140,141,146,152,160,
171,180,183,187,188,190,192,194,202,217,280,373,377,384,408,418,454,458,470,
511,533,544,551,553,567,576,586,745,765,782,916,1025,1032,1043,1457],[1,2,3,4,
5,6,12,16,18,20,22,23,25,27,28,29,34,39,40,44,45,48,52,71,78,87,93,94,100,102,
131,133,134,136,137,138,142,145,152,160,172,180,181,186,189,190,191,193,202,
218,280,373,375,385,409,418,453,458,469,512,533,545,548,554,568,581,590,745,
764,781,918,1027,1033,1044,1458],[1,2,3,4,5,11,16,18,19,22,25,26,28,29,38,44,
45,47,50,73,76,84,93,94,101,130,131,133,134,136,137,139,144,150,158,173,178,
182,186,189,190,191,195,200,218,279,371,376,386,410,417,452,456,471,512,531,
542,551,555,568,582,589,744,766,780,917,1026,1031,1042,1459],[1,5,6,7,19,20,
35,36,37,47,49,67,82,83,107,161,162,163,164,165,178,179,209,210,219,265,374,
445,523,524,560,561,594,595,741,818,915,1052,1053,1460],[1,3,5,7,19,26,29,35,
36,42,44,47,49,82,84,105,107,155,156,161,162,163,169,178,200,206,209,210,219,
265,369,419,445,505,507,530,534,560,592,594,814,818,913,1054,1055,1461],[1,2,
3,5,7,19,22,25,26,29,35,36,38,42,47,49,82,84,101,104,105,107,108,111,150,155,
156,157,158,161,162,163,178,206,209,210,219,295,374,417,444,445,505,507,529,
530,531,560,592,594,813,835,913,1053,1054,1462],[1,2,5,6,7,19,20,22,25,35,36,
37,38,44,47,49,67,82,83,101,104,107,108,111,125,138,157,161,162,163,164,165,
178,179,200,209,210,219,295,369,371,444,445,500,523,524,529,560,561,594,595,
811,835,915,1052,1055,1463],[1,3,5,7,17,19,26,29,35,36,42,44,47,49,52,82,84,
88,91,105,107,155,156,161,162,163,169,174,178,193,200,206,209,210,219,275,421,
426,428,436,479,505,507,530,534,560,592,594,793,797,913,1034,1038,1464],[1,2,
3,4,5,6,7,16,18,20,25,28,29,31,34,35,36,37,38,42,46,47,49,50,51,83,85,87,93,
94,99,104,105,107,155,156,157,161,162,164,165,170,173,175,179,194,195,204,205,
206,209,210,219,276,422,424,425,427,429,438,478,480,506,508,509,529,530,535,
561,591,592,595,794,795,796,914,1035,1036,1037,1465],[1,2,4,5,6,16,19,20,22,
25,28,34,35,38,44,45,47,50,67,69,73,82,87,93,101,104,108,125,131,134,137,138,
139,142,164,173,178,182,189,190,191,195,200,202,218,293,376,386,387,397,417,
419,452,466,471,480,485,498,500,523,545,572,589,590,749,756,816,908,1026,1029,
1031,1466],[1,3,4,5,6,7,18,20,21,22,24,28,29,34,36,37,40,42,43,44,45,48,51,68,
70,73,83,87,94,100,105,110,125,131,132,135,137,140,141,142,166,175,180,181,
183,186,191,192,194,201,203,217,294,375,384,389,398,418,420,454,466,469,478,
487,496,501,525,544,575,585,588,748,757,817,907,1027,1028,1032,1467],[1,2,3,5,
6,7,17,20,21,22,24,25,29,31,36,37,40,42,43,44,48,52,68,70,71,83,85,88,100,105,
110,125,128,130,133,138,141,166,174,180,181,183,185,187,193,203,216,294,377,
385,388,398,418,420,453,463,470,479,486,497,501,525,543,573,587,750,758,817,
909,1025,1030,1033,1468],[1,5,6,7,19,20,21,35,36,37,47,48,49,67,68,82,83,107,
161,162,163,164,165,166,178,179,180,209,210,219,266,433,434,435,523,524,525,
560,561,594,595,762,763,915,1056,1057,1469],[1,2,4,5,6,7,16,19,20,22,24,25,28,
35,36,38,41,43,44,45,47,49,50,67,69,70,82,93,101,103,104,108,124,125,126,128,
131,132,138,139,140,162,164,173,177,178,183,184,189,192,195,200,201,217,293,
386,387,413,416,417,419,448,449,471,473,480,500,502,522,523,569,574,575,756,
810,816,901,1016,1018,1021,1470],[1,3,5,6,7,17,20,21,22,24,29,35,36,37,40,42,
44,48,49,52,68,69,70,83,88,100,105,110,125,130,141,162,166,174,177,180,181,
187,193,203,216,294,385,388,411,415,418,420,447,470,479,501,522,525,573,758,
808,817,899,1015,1020,1023,1471],[1,3,4,5,6,7,18,20,21,22,24,28,29,36,37,40,
41,42,44,45,47,48,51,68,70,83,94,100,103,105,110,125,126,129,131,132,141,142,
161,166,175,176,180,182,184,186,190,194,202,203,218,294,384,389,412,414,418,
420,446,449,469,472,478,501,503,521,525,570,571,572,757,809,817,900,1017,1019,
1022,1472],[1,2,3,5,11,19,22,25,26,29,38,44,47,76,84,101,130,133,150,151,158,
176,178,181,185,200,205,207,212,215,279,302,319,321,324,329,333,336,345,347,
348,364,371,417,421,436,456,519,531,583,593,744,890,930,939,954,1065,1110,
1111,1137,1473],[1,2,3,5,6,11,19,20,22,25,26,29,38,44,47,67,76,84,101,125,130,
133,138,141,150,158,176,178,181,185,187,200,203,205,212,216,279,302,310,316,
321,324,329,333,337,347,348,364,371,378,417,433,436,456,495,500,531,573,587,
742,744,890,921,940,950,974,1062,1107,1113,1132,1474],[1,3,4,5,6,12,20,21,22,
23,27,28,29,34,39,40,43,44,45,46,48,49,68,78,87,100,102,125,127,131,136,140,
141,142,143,152,160,177,179,180,182,183,188,190,192,201,202,203,204,206,211,
213,217,218,280,303,304,312,317,322,325,330,335,338,349,350,351,365,373,379,
380,418,435,438,458,496,501,504,533,572,575,584,586,743,745,891,922,941,951,
975,1063,1109,1114,1133,1475],[1,2,3,5,6,7,12,20,22,23,24,25,27,29,36,39,40,
43,44,45,49,70,71,78,100,102,126,128,129,133,138,155,165,177,179,181,182,183,
184,188,189,201,206,211,213,217,280,301,303,304,305,322,325,330,335,339,353,
354,355,362,375,393,401,411,415,446,453,486,526,574,580,764,800,891,924,946,
964,967,1087,1118,1121,1138,1476],[1,3,4,5,6,12,20,22,23,27,28,29,35,39,40,43,
44,45,47,49,69,73,78,100,102,125,130,131,135,140,156,164,176,177,179,181,182,
183,188,192,201,206,211,213,217,280,300,303,304,306,322,325,330,335,339,352,
353,356,363,377,395,400,412,416,447,454,485,527,575,576,765,799,891,923,944,
962,965,1088,1120,1122,1140,1477],[1,2,4,5,7,11,19,22,24,25,28,36,38,43,44,45,
47,49,70,73,76,101,124,128,132,134,139,157,163,176,177,178,181,182,183,184,
185,192,200,205,212,217,279,301,302,306,321,324,329,333,339,354,355,356,361,
376,395,399,413,414,448,452,487,528,569,579,766,798,890,925,945,963,966,1086,
1119,1123,1139,1478],[1,2,5,7,11,19,22,24,25,36,38,43,44,47,49,70,76,101,124,
128,157,161,163,176,177,178,181,183,185,200,205,210,212,219,279,302,321,324,
329,332,333,344,346,352,353,362,363,398,399,413,415,448,521,528,591,594,798,
890,926,948,971,1076,1105,1116,1134,1479],[1,3,5,6,7,12,20,22,23,24,27,29,35,
36,39,40,43,44,45,47,49,69,70,78,100,102,125,126,129,130,155,156,162,164,165,
176,177,179,181,182,183,188,201,206,209,210,211,213,219,280,303,304,322,325,
330,331,332,335,344,346,354,355,356,361,362,363,397,398,400,401,411,412,414,
416,446,447,522,526,527,592,595,799,800,891,927,949,972,973,1074,1075,1104,
1106,1115,1117,1135,1136,1480],[1,2,4,5,11,16,19,22,25,28,38,44,45,47,50,76,
93,101,131,137,139,144,173,176,178,181,185,189,190,191,195,200,205,212,218,
279,302,321,324,327,329,333,341,357,358,368,386,410,429,471,510,555,581,589,
780,890,928,931,959,1092,1128,1130,1481],[1,3,4,5,6,12,17,18,20,22,23,27,28,
29,39,40,43,44,45,49,51,52,78,88,94,100,102,130,131,135,136,141,142,145,146,
171,172,177,179,182,183,186,187,188,191,192,193,194,201,206,211,213,217,218,
280,303,304,322,325,326,328,330,335,342,359,360,366,367,384,385,408,409,427,
428,469,470,511,553,554,576,582,584,588,781,782,891,929,932,960,961,1093,1127,
1129,1131,1482],[1,2,5,19,22,25,35,38,44,47,49,50,69,71,101,111,177,178,195,
200,209,212,277,308,331,333,371,378,386,393,404,413,417,848,868,872,1483],[1,
2,5,19,22,25,35,38,44,45,47,49,69,71,101,111,177,178,182,189,200,209,212,277,
305,331,333,371,376,378,393,397,413,417,844,868,872,1484],[1,2,3,5,6,19,20,22,
25,26,29,31,38,40,43,49,50,51,67,84,85,100,101,116,177,183,194,195,197,198,
211,283,304,313,314,377,384,386,399,411,424,425,860,861,874,1485],[1,2,3,5,6,
19,20,22,25,26,29,31,38,40,44,47,50,52,67,84,85,100,101,116,176,181,193,195,
196,197,212,283,302,314,315,375,385,386,400,412,424,426,861,862,875,1486],[1,
2,3,5,6,19,20,22,25,26,29,31,38,40,45,49,51,52,67,84,85,100,101,116,177,182,
193,194,196,198,213,283,303,313,315,376,384,385,401,413,425,426,860,862,876,
1487],[1,2,5,19,22,25,35,38,44,47,50,69,71,101,111,178,195,200,212,277,308,
333,371,378,386,404,417,848,872,1488],[1,2,5,19,22,25,35,38,44,45,47,50,69,71,
101,111,178,182,189,195,200,212,277,305,308,333,371,376,378,386,397,404,417,
844,848,872,1489],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,45,46,49,52,67,84,85,
100,101,116,177,182,193,196,204,213,283,303,315,318,376,379,385,401,413,422,
426,856,862,876,1490],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,43,46,49,50,67,84,
85,100,101,116,177,183,195,197,204,211,283,304,314,318,377,379,386,399,411,
422,424,856,861,874,1491],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,44,47,51,67,
84,85,100,101,116,176,181,194,198,200,203,212,283,302,313,316,375,378,384,400,
412,421,425,855,860,875,1492],[1,2,3,5,15,19,22,25,26,29,32,38,44,47,51,72,84,
89,101,119,176,178,181,187,194,198,200,207,212,286,302,310,313,319,371,382,
394,402,405,436,442,846,858,887,1493],[1,2,3,5,6,19,20,22,25,26,29,31,38,40,
45,48,49,51,67,84,85,100,101,116,177,180,182,194,198,208,213,283,303,313,320,
376,384,401,413,418,425,434,860,867,876,1494],[1,2,3,5,6,19,20,22,25,26,29,31,
38,40,43,47,49,52,67,84,85,100,101,116,177,178,183,193,196,207,211,283,304,
315,319,377,385,399,411,417,426,433,862,866,874,1495],[1,2,3,5,6,19,20,22,25,
26,29,31,38,40,44,47,48,50,67,84,85,100,101,116,176,180,181,195,197,208,212,
283,302,314,320,375,386,400,412,418,424,434,861,867,875,1496],[1,2,3,5,6,19,
20,22,25,26,29,31,38,40,44,46,47,67,84,85,100,101,116,176,178,181,204,207,212,
283,302,318,319,375,379,400,412,417,422,433,856,866,875,1497],[1,2,3,5,6,19,
20,22,25,26,29,31,38,40,45,46,48,49,67,84,85,100,101,116,177,180,182,204,208,
213,283,303,318,320,376,379,401,413,418,422,434,856,867,876,1498],[1,2,3,5,6,
19,20,22,25,26,29,31,38,40,43,44,48,49,67,84,85,100,101,116,177,180,183,200,
203,208,211,283,304,316,320,377,378,399,411,418,421,434,855,867,874,1499],[1,
2,5,19,22,25,35,38,43,44,47,49,69,82,101,104,108,177,178,183,200,209,212,293,
300,331,333,369,374,399,416,419,444,445,870,882,889,1500],[1,2,3,5,19,22,25,
26,29,35,38,44,47,82,84,101,104,108,111,150,156,158,178,181,185,187,200,212,
215,295,310,321,333,336,347,348,364,369,371,374,378,417,419,421,436,505,531,
813,880,893,921,952,954,985,1113,1137,1501],[1,2,3,5,19,22,25,26,29,35,38,44,
47,82,84,101,104,108,111,130,133,150,158,169,176,178,181,185,200,205,207,212,
216,295,319,321,329,333,337,345,347,348,364,369,371,374,378,417,419,421,436,
456,531,534,754,880,883,892,893,921,930,950,954,984,994,1110,1111,1132,1502],[
1,2,5,6,19,20,22,25,35,38,44,47,67,82,101,104,108,111,125,138,164,176,178,200,
203,205,212,215,295,316,329,333,336,345,347,348,364,369,371,374,417,419,433,
500,523,811,883,893,930,974,976,986,1107,1137,1503],[1,2,3,5,6,14,20,22,25,26,
29,30,32,39,40,44,45,47,49,71,72,81,100,115,120,133,138,150,176,177,179,181,
182,189,206,213,219,297,303,305,330,344,346,354,355,361,362,381,393,396,400,
401,402,411,453,460,776,878,894,927,967,980,989,1121,1136,1504],[1,2,3,4,5,6,
15,19,20,22,25,26,28,29,31,32,38,40,43,44,45,47,49,72,73,80,100,101,114,116,
119,121,134,135,139,140,153,176,177,178,179,181,182,183,192,205,206,211,212,
219,298,302,304,306,329,330,344,346,352,353,355,356,361,362,363,382,383,394,
395,396,399,400,401,403,412,413,452,454,461,777,877,879,895,896,926,927,965,
966,981,990,1122,1123,1134,1135,1505],[1,3,5,6,14,20,22,26,29,30,32,35,39,40,
43,45,47,49,69,72,81,100,115,120,156,158,164,176,177,182,183,188,201,211,219,
297,300,304,322,344,352,356,361,363,377,383,394,397,401,403,412,416,450,527,
801,854,895,923,973,978,987,1120,1135,1506],[1,2,3,5,6,7,15,19,20,22,24,25,26,
29,31,32,36,38,40,43,44,45,47,49,70,72,80,100,101,114,116,119,121,155,157,159,
163,165,176,177,181,182,183,184,185,188,200,201,212,213,219,298,301,302,303,
321,322,344,353,354,355,361,362,363,375,376,381,382,396,398,399,400,402,403,
411,413,414,415,451,526,528,802,852,853,894,896,924,925,971,972,979,988,1118,
1119,1134,1136,1507],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,36,38,40,43,
44,45,47,49,70,72,80,100,101,114,116,119,121,124,128,155,165,168,176,177,178,
181,182,183,188,201,205,210,212,213,217,298,302,303,322,329,332,339,346,352,
353,354,356,361,363,376,377,381,382,383,394,398,399,400,403,412,414,448,491,
526,753,852,877,895,897,923,926,963,968,972,991,1104,1116,1139,1140,1508],[1,
2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,36,38,40,43,44,45,47,49,70,72,80,100,
101,114,116,119,121,126,129,157,163,167,176,177,179,181,182,183,185,200,206,
210,211,212,217,298,302,304,321,330,332,339,346,353,354,355,356,361,362,375,
376,381,382,383,396,398,399,400,401,402,413,415,446,489,528,752,853,879,894,
897,925,927,964,969,971,992,1105,1115,1138,1139,1509],[1,3,5,6,14,20,22,26,29,
30,32,35,39,40,43,44,45,47,49,69,72,81,100,115,120,125,130,156,164,169,176,
177,179,181,182,183,188,201,206,209,211,213,217,297,303,304,322,330,331,339,
346,353,354,355,356,361,362,363,375,377,381,382,383,396,397,400,401,403,411,
416,447,490,527,751,854,878,896,897,924,927,962,970,973,993,1106,1117,1138,
1140,1510],[1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,47,49,69,70,71,72,
84,89,101,111,119,128,150,157,158,159,161,162,163,168,176,177,178,183,205,210,
219,277,286,329,332,344,346,352,363,383,393,396,399,416,450,451,460,474,486,
491,521,522,528,531,591,594,707,759,807,839,840,926,948,987,989,1078,1080,
1511],[1,3,4,5,6,7,13,14,20,22,24,26,27,28,29,30,32,33,35,36,40,41,44,45,47,
49,69,70,72,73,74,86,92,100,103,112,123,131,132,153,155,156,158,159,161,162,
164,165,167,169,176,177,179,181,182,206,209,210,219,278,287,330,331,332,344,
346,355,361,362,381,382,394,395,396,400,401,414,415,450,451,461,476,485,487,
489,490,521,522,526,527,532,592,595,708,760,761,805,806,839,841,927,949,988,
990,1077,1079,1081,1082,1512],[1,2,3,5,6,15,19,20,22,25,26,29,32,35,38,44,47,
67,69,72,82,84,89,101,104,108,119,125,130,133,138,141,151,164,169,178,181,185,
187,200,203,216,286,293,310,316,321,337,347,348,369,378,417,419,421,436,456,
467,490,495,500,519,523,534,573,587,712,746,788,791,816,837,921,940,994,1059,
1067,1513],[1,3,4,5,6,7,13,14,20,21,22,24,26,27,28,29,30,32,34,36,37,40,42,43,
44,45,46,48,68,70,72,83,86,87,92,100,105,110,123,125,131,136,140,141,142,143,
154,166,167,168,170,180,182,183,188,190,192,201,202,203,204,217,218,287,294,
312,317,322,338,350,351,370,379,418,420,423,437,458,468,489,491,496,499,501,
520,525,535,536,572,575,584,586,713,747,789,792,817,838,922,941,995,1060,1068,
1514],[1,3,4,5,6,7,13,14,20,22,24,26,27,28,29,30,32,35,36,37,40,42,43,44,45,
49,69,70,72,73,83,86,92,100,105,110,123,125,130,131,132,135,140,153,162,167,
168,169,177,181,182,183,188,192,201,217,287,294,300,306,322,339,353,355,375,
383,398,402,411,415,447,454,461,468,485,487,489,490,491,522,536,575,576,713,
748,770,774,808,841,924,944,992,1084,1091,1515],[1,2,3,5,6,7,13,14,20,22,24,
25,26,27,29,30,32,36,37,40,42,43,44,45,47,70,71,72,83,86,92,100,105,110,123,
126,128,129,133,138,150,161,167,168,176,181,182,183,184,188,189,201,217,287,
294,301,305,322,339,352,356,377,382,398,403,412,414,446,453,460,468,486,489,
491,521,536,574,580,713,750,771,773,809,840,923,946,991,1083,1090,1516],[1,2,
3,4,5,7,15,19,22,24,25,26,28,29,32,35,36,38,43,44,45,49,69,70,72,73,82,84,89,
101,104,108,119,124,128,131,132,134,139,153,162,167,169,177,181,182,183,184,
185,192,200,217,286,293,301,306,321,339,354,355,376,381,397,403,413,416,448,
452,461,467,485,487,489,490,522,534,569,579,712,749,772,775,810,841,925,945,
993,1085,1089,1517],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,67,69,82,
84,85,100,101,104,108,116,141,150,151,156,158,164,169,176,178,200,205,207,215,
283,293,319,329,336,345,347,364,371,374,419,433,436,495,505,508,519,523,527,
531,534,583,593,705,815,832,836,837,930,939,985,986,1058,1072,1518],[1,2,3,4,
5,15,16,19,22,25,26,28,29,32,35,38,44,45,50,69,72,82,84,89,93,101,104,108,119,
131,137,139,147,169,173,181,185,189,190,191,195,200,218,286,293,321,327,341,
357,358,386,387,439,467,471,480,490,510,513,534,581,589,712,756,821,842,928,
931,996,1099,1519],[1,3,4,5,6,7,13,14,17,18,20,22,24,26,27,28,29,30,32,36,37,
40,42,43,44,45,51,52,70,72,83,86,88,92,94,100,105,110,123,130,131,135,136,141,
142,148,149,167,168,174,175,182,183,186,187,188,191,192,193,194,201,217,218,
287,294,322,326,328,342,359,360,384,385,388,389,440,441,468,469,470,478,479,
489,491,511,514,515,536,576,582,584,588,713,757,758,819,820,843,929,932,997,
1097,1098,1520],[1,2,3,5,6,19,20,21,22,25,26,29,31,35,38,40,44,47,67,68,82,84,
85,100,101,104,108,111,116,125,138,141,150,151,158,164,169,178,200,203,212,
266,283,295,316,333,347,348,369,371,433,436,495,497,500,501,519,523,531,534,
539,562,727,738,762,811,832,837,1059,1062,1107,1521],[1,3,4,5,6,7,19,20,21,23,
24,27,28,30,32,33,34,36,37,39,40,41,42,43,45,46,48,49,67,68,83,86,87,102,103,
106,109,110,112,113,114,115,117,124,126,127,139,140,142,143,152,153,154,159,
160,163,165,166,167,168,170,179,180,201,202,204,211,213,214,266,284,285,296,
317,318,334,335,349,350,351,370,372,373,434,435,437,438,496,498,499,502,503,
504,520,524,525,532,533,535,536,537,538,540,563,564,565,728,729,739,740,763,
812,833,834,838,1060,1061,1063,1064,1108,1109,1522],[1,2,3,5,15,17,19,22,25,
26,29,32,35,38,44,47,72,82,84,88,89,91,101,104,108,111,119,130,133,150,151,
156,158,169,178,200,207,212,275,286,295,319,333,345,364,374,417,421,436,456,
475,484,494,505,519,531,534,546,703,714,791,793,813,836,1058,1065,1110,1523],[
1,2,3,5,6,15,17,19,20,22,25,26,29,31,32,35,38,40,44,47,67,72,82,84,85,88,89,
91,100,101,104,108,111,116,119,125,130,133,138,141,150,151,156,158,164,169,
178,187,200,207,212,275,283,286,295,310,319,333,347,348,364,371,378,419,421,
433,436,456,470,475,484,494,495,500,505,519,523,531,534,539,543,546,562,700,
703,714,738,754,788,793,832,837,1062,1065,1067,1072,1111,1113,1524],[1,2,3,4,
5,6,7,14,15,16,18,20,21,23,24,25,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,
44,45,46,48,49,68,75,83,85,86,87,93,94,95,99,102,103,106,109,110,112,113,117,
120,121,122,127,128,129,132,134,135,137,138,140,141,142,143,152,153,154,155,
157,159,160,166,167,168,170,179,180,190,192,201,203,204,208,211,213,214,276,
284,288,296,312,320,334,335,350,351,365,372,380,420,422,423,435,438,457,459,
472,473,477,482,483,492,493,496,497,499,504,506,520,525,532,533,535,536,540,
544,545,547,565,701,704,715,739,755,790,794,834,838,1063,1066,1068,1073,1112,
1114,1525],[1,2,3,4,5,6,7,14,16,20,22,24,25,26,28,29,30,32,33,36,39,40,41,43,
44,47,49,70,71,72,73,74,81,93,100,103,112,115,120,128,132,133,135,138,140,150,
153,155,161,165,168,176,177,181,183,192,211,268,278,297,304,306,352,353,393,
395,400,402,415,453,454,460,461,473,483,486,487,491,521,526,537,552,717,723,
769,776,806,840,1087,1091,1122,1526],[1,2,3,4,5,6,7,15,16,19,20,22,24,25,26,
28,29,31,32,33,35,36,38,40,41,43,44,45,47,49,69,70,71,72,73,74,80,93,100,101,
103,111,112,114,116,119,121,128,131,132,133,134,135,138,139,140,150,153,156,
157,162,163,164,167,169,176,177,181,182,183,189,192,212,213,268,277,278,298,
302,303,305,306,354,355,356,393,395,399,401,403,414,416,452,453,454,460,461,
471,473,482,484,485,486,487,489,490,522,527,528,538,539,548,552,716,718,722,
723,769,777,805,807,841,1086,1088,1089,1090,1121,1123,1527],[1,3,5,6,7,14,20,
22,24,26,29,30,32,35,36,37,39,40,42,45,47,49,69,70,72,81,83,100,105,107,110,
115,120,126,129,155,156,158,159,161,162,164,165,167,176,177,182,210,213,267,
294,297,303,332,346,361,394,397,412,414,446,450,451,489,493,521,522,526,527,
530,561,563,697,737,801,803,809,839,1074,1077,1104,1528],[1,2,3,5,6,7,15,19,
20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,69,70,72,80,82,83,100,
101,104,105,107,108,110,114,116,119,121,124,125,128,130,155,156,157,158,159,
161,162,163,164,165,168,169,176,177,181,183,209,210,211,212,267,293,294,298,
302,304,331,332,346,362,363,396,398,411,413,415,416,447,448,450,451,490,491,
492,494,521,522,526,527,528,529,530,560,561,562,564,698,699,736,737,802,804,
808,810,839,1075,1076,1078,1079,1105,1106,1529],[1,2,3,4,5,6,7,15,19,20,22,24,
25,26,28,29,31,32,33,35,36,38,40,41,44,45,47,49,69,70,72,73,74,80,82,100,101,
103,104,107,108,112,114,116,119,121,125,126,129,130,131,132,134,139,153,156,
157,158,162,163,164,167,169,176,177,181,182,184,209,212,213,267,278,293,298,
301,302,303,331,354,355,361,376,381,395,397,401,414,446,447,449,450,452,461,
482,485,487,488,489,490,494,522,527,528,529,538,560,562,696,699,716,736,749,
752,803,805,841,1074,1081,1085,1086,1117,1119,1530],[1,3,4,5,6,7,14,20,22,24,
26,28,29,30,32,33,35,36,37,39,40,41,42,43,44,45,47,49,69,70,72,73,74,81,83,
100,103,105,107,110,112,115,120,125,126,129,130,131,132,135,140,153,155,156,
159,161,162,164,165,167,168,169,176,177,181,182,183,184,210,211,213,267,278,
294,297,301,303,304,332,355,356,362,375,382,395,398,400,415,416,446,447,449,
451,454,461,483,485,487,488,489,490,491,493,521,522,526,527,530,537,561,563,
696,697,717,737,748,751,804,806,841,1075,1082,1083,1088,1115,1118,1531],[1,2,
3,5,6,7,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,69,70,71,
72,80,83,100,101,105,107,110,111,114,116,119,121,124,128,133,138,150,155,156,
157,159,161,162,163,164,165,168,169,176,177,181,183,210,211,212,267,277,294,
298,300,302,304,332,352,353,363,377,383,393,398,399,415,416,448,451,453,460,
484,486,490,491,492,521,522,526,527,528,530,539,561,564,695,698,718,737,750,
753,804,807,840,1076,1080,1084,1087,1116,1120,1532],[1,2,3,4,5,6,11,15,16,18,
20,22,25,26,28,29,31,32,34,35,38,40,44,45,47,50,71,73,76,80,85,87,89,90,93,94,
99,104,108,111,116,119,121,125,130,131,133,134,136,137,138,142,144,147,150,
156,158,164,169,173,185,189,190,191,195,197,205,212,268,276,281,290,308,314,
324,327,357,358,368,387,404,410,424,429,439,463,466,467,474,480,484,494,508,
510,512,513,518,539,541,545,548,551,555,556,562,719,725,732,733,783,796,822,
826,842,1069,1092,1094,1099,1124,1128,1533],[1,2,3,4,5,6,7,12,13,14,15,16,17,
18,20,24,25,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,49,51,52,74,77,
78,79,85,87,88,92,93,94,96,98,99,105,106,110,112,113,115,121,122,126,128,132,
133,134,135,136,137,140,141,145,146,148,149,153,157,159,165,167,168,171,172,
174,175,187,188,191,192,193,194,196,199,206,211,213,270,276,282,291,309,315,
325,328,359,360,367,388,406,408,425,427,428,440,464,465,468,476,478,479,481,
482,492,509,511,512,514,515,517,537,543,544,550,552,553,554,557,559,563,721,
726,731,735,784,795,823,827,843,1070,1093,1096,1097,1125,1129,1534],[1,3,4,5,
6,7,12,13,14,17,18,19,24,26,27,28,29,30,32,33,36,37,39,40,41,42,43,45,49,51,
52,74,78,79,81,84,88,91,92,94,97,98,105,106,110,112,113,114,120,123,124,129,
135,136,139,145,146,148,149,153,155,159,163,167,168,171,172,174,175,186,188,
193,194,198,199,206,211,213,270,275,282,289,309,313,325,326,359,360,366,389,
406,409,426,427,428,441,462,468,476,478,479,481,483,493,507,511,514,515,516,
538,542,549,553,554,558,559,564,720,726,730,734,785,797,823,828,843,1071,1093,
1095,1098,1126,1127,1535],[1,2,5,11,19,22,25,38,44,47,76,101,176,178,181,185,
200,205,212,220,279,302,321,324,329,333,596,597,598,890,1141,1150,1536],[1,2,
3,5,6,19,20,22,25,26,29,31,35,38,40,47,67,69,82,84,85,100,101,104,108,116,156,
164,176,178,205,220,283,293,329,505,508,523,527,596,597,598,705,1102,1103,
1141,1537],[1,2,3,5,15,19,22,25,26,29,32,35,38,47,69,71,72,84,89,101,111,119,
150,158,176,178,205,220,277,286,329,450,460,474,531,596,597,598,707,1100,1101,
1141,1538],[1,2,3,5,7,15,19,22,24,25,26,29,32,36,38,43,44,45,47,49,70,72,84,
89,101,119,124,128,157,159,161,163,167,168,176,177,181,182,183,184,210,212,
217,286,301,302,332,339,352,353,354,355,356,361,363,376,382,383,394,396,398,
399,402,403,414,415,448,451,489,491,521,528,759,775,846,895,896,969,979,991,
992,1076,1077,1083,1116,1119,1139,1539],[1,3,5,6,7,13,14,20,22,24,26,27,29,30,
32,35,36,40,43,44,45,49,69,70,72,86,92,100,123,125,130,155,159,162,165,167,
169,177,181,182,183,184,209,211,213,217,287,301,303,304,331,339,353,354,355,
362,375,381,383,396,397,398,401,402,403,415,416,447,451,489,490,522,526,760,
774,847,894,970,979,992,993,1075,1079,1085,1117,1118,1138,1540],[1,3,5,6,7,13,
14,20,22,24,26,27,29,30,32,35,36,40,43,44,45,47,49,69,70,72,86,92,100,123,126,
129,156,158,162,164,168,169,176,177,181,182,183,210,211,213,217,287,300,303,
304,332,339,352,353,355,356,361,363,377,381,382,383,394,396,397,398,400,403,
414,416,446,450,490,491,522,527,761,773,847,895,896,968,978,991,993,1074,1078,
1084,1115,1120,1140,1541],[1,3,4,5,6,13,14,20,22,26,27,28,29,30,32,35,40,43,
44,45,47,49,69,72,73,86,92,100,123,131,135,140,153,156,158,164,169,176,177,
181,182,183,192,209,211,213,219,287,303,304,306,331,344,346,352,353,354,356,
361,362,363,381,382,383,394,395,396,400,403,411,416,450,454,461,485,490,527,
761,770,847,895,897,970,981,987,990,1081,1088,1089,1106,1122,1136,1542],[1,2,
3,5,6,7,13,14,20,22,24,25,26,27,29,30,32,36,40,43,44,45,47,49,70,71,72,86,92,
100,123,128,133,138,150,155,159,165,167,176,177,181,182,183,189,210,211,213,
219,287,303,304,305,332,344,346,353,354,355,356,361,363,381,382,383,393,396,
401,403,412,414,415,451,453,460,486,489,526,760,771,847,896,897,969,980,988,
989,1080,1087,1090,1104,1121,1135,1543],[1,2,3,4,5,7,15,19,22,24,25,26,28,29,
32,36,38,43,44,45,47,49,70,72,73,84,89,101,119,132,134,139,153,157,159,163,
168,176,177,181,182,183,192,210,212,219,286,302,306,332,344,346,353,354,355,
356,362,363,381,382,383,394,395,396,399,402,413,414,415,451,452,461,487,491,
528,759,772,846,894,897,968,981,988,990,1082,1086,1091,1105,1123,1134,1544],[
1,2,3,5,6,19,20,22,25,26,29,35,38,44,47,67,69,82,84,101,104,108,125,138,141,
150,156,158,164,169,178,200,203,207,212,215,293,316,319,333,336,345,347,348,
364,369,371,374,417,419,433,436,495,500,505,523,531,534,815,816,882,892,893,
976,984,985,986,1059,1062,1072,1107,1110,1137,1545],[1,2,3,5,19,22,25,26,29,
35,38,44,47,69,82,84,101,104,108,130,133,150,151,156,158,169,178,187,200,207,
212,216,293,310,319,333,337,347,348,364,369,371,374,378,419,421,436,456,505,
519,531,534,746,815,882,893,952,984,994,1058,1065,1067,1111,1113,1132,1546],[
1,2,3,4,5,6,7,15,19,20,22,24,25,26,28,29,31,32,33,36,38,40,41,44,45,47,49,70,
72,73,74,80,100,101,103,112,114,116,119,121,132,134,139,153,155,157,159,161,
163,165,167,176,177,178,181,182,205,210,212,213,219,278,298,302,303,329,332,
344,346,354,361,362,382,394,395,396,400,411,412,413,414,415,451,452,461,482,
487,489,521,526,528,538,591,594,716,802,806,869,877,948,966,969,990,1077,1082,
1086,1104,1105,1136,1547],[1,3,4,5,6,7,14,20,22,24,26,28,29,30,32,33,35,36,39,
40,41,43,45,47,49,69,70,72,73,74,81,100,103,112,115,120,131,135,140,153,155,
156,158,162,164,165,168,176,177,179,182,183,206,209,210,211,213,219,278,297,
303,304,330,331,332,344,346,356,361,363,381,394,395,396,401,411,412,414,416,
450,454,461,483,485,491,522,526,527,537,592,595,717,801,805,869,878,949,965,
968,990,1078,1081,1088,1104,1106,1135,1548],[1,2,3,5,6,7,15,19,20,22,24,25,26,
29,31,32,35,36,38,40,43,44,47,49,69,70,71,72,80,100,101,111,114,116,119,121,
128,133,138,150,155,156,157,159,162,163,164,165,169,176,177,179,181,183,206,
209,210,211,212,219,277,298,302,304,330,331,332,344,346,353,362,363,383,393,
396,399,411,413,415,416,451,453,460,484,486,490,522,526,527,528,539,592,595,
718,802,807,868,879,949,967,970,989,1079,1080,1087,1105,1106,1134,1549],[1,2,
3,5,6,7,15,19,20,22,24,25,26,29,31,32,35,36,38,40,43,44,47,49,69,70,72,80,82,
100,101,104,108,114,116,119,121,124,125,128,130,155,156,158,162,164,165,168,
169,176,177,179,181,183,206,209,210,211,212,219,293,298,300,302,304,330,331,
332,344,352,353,362,363,377,383,396,398,399,413,416,447,448,450,490,491,494,
522,526,527,562,592,595,699,753,810,870,879,949,962,970,987,1075,1078,1084,
1116,1120,1134,1550],[1,3,5,6,7,14,20,22,24,26,29,30,32,35,36,37,39,40,42,44,
45,47,49,69,70,72,81,83,100,105,110,115,120,125,126,129,130,155,156,159,162,
164,165,167,169,176,177,179,181,182,184,206,209,210,213,219,294,297,301,303,
330,331,332,344,354,355,361,362,375,381,382,396,397,400,401,411,414,415,446,
447,451,489,490,493,522,526,527,563,592,595,697,751,808,871,878,949,964,969,
988,1074,1079,1085,1117,1118,1136,1551],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,
31,32,36,37,38,40,42,43,44,45,47,49,70,72,80,83,100,101,105,110,114,116,119,
121,124,126,128,129,157,159,161,163,167,168,176,177,178,181,182,183,184,205,
210,211,212,219,294,298,301,302,304,329,332,344,355,356,361,363,376,381,382,
394,398,400,401,412,414,415,446,448,451,489,491,492,521,528,564,591,594,698,
752,809,871,877,948,963,968,988,1076,1077,1083,1115,1119,1135,1552],[1,2,3,4,
5,6,7,15,19,20,22,24,25,26,28,29,31,32,33,36,38,40,41,43,44,45,47,49,70,72,73,
74,80,100,101,103,112,114,116,119,121,124,128,132,134,139,153,155,157,161,163,
165,167,168,176,177,181,182,183,184,185,192,200,212,213,217,278,298,301,302,
303,306,321,339,353,355,356,362,363,375,377,382,383,395,398,399,400,402,415,
448,452,461,482,487,489,491,521,526,528,538,569,579,716,753,806,845,853,945,
971,981,992,1076,1083,1091,1118,1123,1140,1553],[1,3,4,5,6,7,14,20,22,24,26,
28,29,30,32,33,35,36,39,40,41,43,44,45,47,49,69,70,72,73,74,81,100,103,112,
115,120,125,130,131,135,140,153,155,156,162,164,165,168,169,176,177,181,182,
183,188,192,201,211,217,278,297,300,304,306,322,339,352,353,354,362,363,375,
377,382,383,395,398,400,401,403,414,416,447,454,461,483,485,490,491,522,526,
527,537,575,576,717,751,805,845,854,944,972,981,991,1075,1084,1089,1120,1122,
1138,1554],[1,2,3,5,6,7,15,19,20,22,24,25,26,29,31,32,35,36,38,40,43,44,45,47,
49,69,70,71,72,80,100,101,111,114,116,119,121,126,128,129,133,138,150,156,157,
162,163,164,167,169,176,177,181,182,183,184,188,189,201,212,213,217,277,298,
301,302,303,305,322,339,354,355,356,361,376,381,393,397,399,401,403,414,416,
446,453,460,484,486,489,490,522,527,528,539,574,580,718,752,807,844,852,946,
973,980,993,1074,1085,1090,1119,1121,1139,1555],[1,2,3,5,6,7,14,20,22,24,25,
26,29,30,32,36,37,39,40,42,43,44,45,47,49,70,71,72,81,83,100,105,110,115,120,
126,128,129,133,138,150,155,159,165,167,176,177,181,182,183,184,188,189,201,
210,211,213,217,294,297,301,303,304,305,322,332,339,353,354,355,356,363,377,
383,393,398,400,401,402,403,414,415,446,451,453,460,486,489,493,526,563,574,
580,697,750,776,854,871,946,972,979,992,1080,1087,1090,1115,1121,1140,1556],[
1,2,3,4,5,6,7,15,19,20,22,24,25,26,28,29,31,32,36,37,38,40,42,43,44,45,47,49,
70,72,73,80,83,100,101,105,110,114,116,119,121,124,128,132,134,135,139,140,
153,157,159,163,168,176,177,181,182,183,184,185,192,200,210,211,212,217,294,
298,301,302,304,306,321,332,339,352,353,354,362,375,382,395,398,399,400,401,
402,403,414,415,448,451,452,454,461,487,491,492,528,564,569,579,698,748,777,
853,871,945,971,979,991,1082,1086,1091,1116,1122,1138,1557],[1,2,3,4,5,6,15,
19,20,22,25,26,28,29,31,32,35,38,40,43,44,45,47,49,69,72,73,80,82,100,101,104,
108,114,116,119,121,125,130,131,134,135,139,140,153,156,158,164,169,176,177,
181,182,183,188,192,201,209,212,213,217,293,298,300,302,303,306,322,331,339,
354,355,356,361,376,381,395,397,399,401,403,416,447,450,452,454,461,485,490,
494,527,562,575,576,699,749,777,852,870,944,973,978,993,1081,1088,1089,1117,
1123,1139,1558],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,67,82,84,85,
100,101,104,108,111,116,125,130,133,138,141,150,151,158,164,169,178,181,185,
187,200,203,212,216,283,295,310,316,321,333,337,347,348,364,369,371,378,419,
421,433,436,456,495,500,519,523,531,534,539,562,573,587,738,754,832,855,880,
940,954,976,994,1059,1065,1067,1107,1113,1132,1559],[1,3,4,5,6,7,19,20,23,24,
27,28,30,32,33,34,36,37,39,40,41,42,43,44,45,46,48,49,67,83,86,87,102,103,106,
109,110,112,113,114,115,124,126,132,137,139,140,142,152,153,154,159,160,163,
165,167,168,170,179,180,184,190,191,192,200,201,202,203,204,211,213,214,217,
218,285,296,312,316,318,323,334,335,338,349,350,351,365,370,372,373,380,420,
423,434,437,438,459,498,502,520,524,532,533,535,536,537,538,563,564,569,570,
585,589,740,755,833,857,881,942,955,977,995,1061,1066,1068,1108,1114,1133,
1560],[1,2,3,5,15,19,22,25,26,29,32,35,38,44,47,72,82,84,89,101,104,108,111,
119,130,133,150,151,156,158,169,176,178,187,200,205,207,212,215,286,295,310,
319,329,333,336,347,348,364,371,374,378,417,419,421,436,456,484,494,505,519,
531,534,583,593,714,754,791,858,883,939,950,984,985,1058,1065,1067,1111,1113,
1137,1561],[1,2,3,5,6,15,19,20,22,25,26,29,32,35,38,44,47,67,72,82,84,89,101,
104,108,111,119,125,130,133,138,141,150,156,158,164,169,178,181,185,187,200,
203,207,212,216,286,295,310,316,319,321,333,337,347,348,364,369,371,378,419,
421,433,436,456,484,494,495,500,505,523,531,534,573,587,714,788,811,858,880,
940,952,954,994,1059,1062,1072,1107,1111,1132,1562],[1,2,3,4,5,6,7,14,15,20,
21,23,24,25,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,48,49,68,75,83,
85,86,95,102,103,106,109,110,112,113,120,121,122,126,127,128,129,134,135,138,
141,142,143,153,155,157,159,166,167,168,179,180,184,186,189,191,201,202,203,
204,208,211,213,214,217,218,288,296,311,317,320,323,334,335,338,349,350,351,
365,370,372,373,380,420,422,423,435,437,457,482,483,492,493,497,499,503,504,
506,525,532,536,571,574,588,590,715,790,812,859,881,943,953,955,995,1060,1064,
1073,1109,1112,1133,1563],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,67,
82,84,85,100,101,104,108,111,116,125,138,141,150,151,156,158,164,169,176,178,
200,205,207,212,215,283,295,319,329,333,336,345,348,364,371,374,417,419,433,
436,495,500,505,519,523,531,534,539,562,583,593,738,813,832,866,883,939,974,
984,986,1058,1062,1072,1110,1137,1564],[1,2,3,4,5,6,11,15,16,20,22,25,26,28,
29,31,32,35,38,40,44,45,47,50,71,76,80,85,89,90,93,104,108,111,116,119,121,
125,130,131,133,134,136,138,142,144,147,150,156,158,164,169,173,182,185,186,
189,190,191,195,197,202,205,212,218,281,290,305,308,311,314,324,327,341,357,
358,368,387,404,410,424,429,439,463,467,474,480,484,494,508,513,539,541,548,
555,562,568,572,582,590,719,783,826,850,884,934,958,982,996,1069,1094,1099,
1124,1128,1130,1565],[1,3,4,5,6,7,12,13,14,18,19,24,26,27,28,29,30,32,33,36,
37,39,40,41,42,43,44,45,49,51,52,74,78,79,81,84,92,94,97,105,106,110,112,113,
114,120,123,124,129,132,135,136,137,139,145,148,153,155,159,163,167,168,172,
175,184,186,187,188,190,191,192,193,194,198,199,200,206,211,213,217,218,282,
289,307,309,310,313,325,328,342,359,360,366,367,388,389,406,408,409,426,427,
440,441,462,468,476,478,483,493,507,515,538,542,550,554,564,567,569,578,589,
720,784,828,851,885,936,956,983,997,1071,1096,1097,1126,1129,1131,1566],[1,2,
3,4,5,6,7,12,13,14,15,17,20,24,25,27,28,29,30,31,32,33,36,37,39,40,41,42,43,
44,45,49,51,52,74,77,78,79,85,88,92,96,105,106,110,112,113,115,121,122,126,
128,129,133,134,136,140,141,146,149,153,157,159,165,167,168,171,174,184,186,
187,188,189,190,193,194,196,199,202,206,211,213,217,218,282,291,307,309,311,
315,325,326,342,359,360,366,367,388,389,406,408,409,425,428,440,441,464,468,
476,479,482,492,509,514,537,543,549,553,563,568,571,580,586,721,785,827,851,
886,935,957,983,997,1070,1095,1098,1125,1127,1131,1567],[1,2,5,6,19,20,22,25,
35,38,44,47,48,67,82,101,104,108,111,125,138,164,178,180,200,220,295,369,371,
434,500,523,596,811,1056,1103,1568],[1,2,3,5,19,22,25,26,29,35,38,47,52,82,84,
101,104,108,111,150,156,158,178,193,220,295,374,417,426,505,531,596,813,1034,
1102,1569],[1,3,5,17,19,26,29,35,44,47,49,82,84,88,91,156,169,178,200,209,220,
275,421,436,445,505,534,596,793,1054,1102,1570],[1,3,5,19,26,29,35,44,47,52,
82,84,156,169,178,193,200,220,265,369,419,426,505,534,596,814,1034,1102,
1571],[1,5,6,19,20,35,47,48,67,82,164,178,180,220,265,374,434,523,596,741,
1056,1103,1572],[1,5,6,19,20,21,35,47,49,67,68,82,164,178,209,220,266,433,445,
523,596,762,1052,1103,1573],[1,2,3,5,6,14,20,22,25,26,29,30,32,39,40,44,47,50,
71,72,81,100,115,120,133,138,150,176,181,195,220,297,400,402,404,453,460,597,
776,1046,1100,1574],[1,3,5,12,14,22,26,32,35,44,45,47,69,72,97,158,169,176,
181,182,220,269,382,397,402,450,490,597,778,1012,1101,1575],[1,2,3,5,12,14,22,
25,26,32,47,50,71,72,97,150,176,195,220,269,394,404,460,597,767,1046,1100,
1576],[1,2,3,4,5,16,22,25,26,28,32,47,49,51,71,72,73,93,150,153,176,177,198,
220,268,393,395,405,460,461,597,769,1045,1100,1577],[1,3,5,7,22,24,26,32,35,
36,45,47,51,69,70,72,107,158,167,176,182,198,220,267,397,405,414,450,489,597,
803,1011,1101,1578],[1,3,5,6,14,20,22,26,29,30,32,35,39,40,45,47,69,72,81,100,
115,120,156,158,164,176,182,220,297,394,397,412,450,527,597,801,1012,1101,
1579],[1,2,3,5,6,19,20,22,25,26,29,38,44,45,49,50,67,84,101,125,130,133,138,
141,177,181,182,185,187,195,200,203,216,310,316,321,337,354,355,357,358,376,
386,413,456,495,500,573,587,925,928,940,1005,1016,1029,1042,1580],[1,3,4,5,6,
20,21,22,28,29,34,40,43,44,45,47,51,52,68,87,100,125,131,136,140,141,142,176,
182,183,188,190,192,193,194,201,202,203,217,218,312,317,322,338,352,356,359,
360,377,384,385,412,458,496,501,572,575,584,586,923,929,941,1007,1017,1030,
1043,1581],[1,3,4,5,6,20,21,22,28,29,34,40,43,44,45,49,51,52,68,87,100,125,
131,136,140,141,142,177,181,182,183,188,190,192,193,194,201,202,203,217,218,
312,317,322,338,353,355,359,360,375,384,385,411,458,496,501,572,575,584,586,
924,929,941,1006,1015,1028,1044,1582],[1,2,3,5,6,7,20,22,24,25,29,36,40,43,44,
45,46,48,51,52,70,71,100,126,128,129,133,138,180,181,182,183,184,188,189,193,
194,201,204,217,301,305,322,339,350,351,359,360,379,384,385,418,446,453,486,
574,580,922,929,946,1009,1022,1033,1049,1583],[1,3,4,5,6,20,22,28,29,35,40,43,
44,45,46,48,51,52,69,73,100,125,130,131,135,140,180,181,182,183,188,192,193,
194,201,204,217,300,306,322,339,350,351,359,360,379,384,385,418,447,454,485,
575,576,922,929,944,1010,1023,1032,1048,1584],[1,2,4,5,7,19,22,24,25,28,36,38,
43,44,45,47,50,70,73,101,124,128,132,134,139,178,181,182,183,184,185,192,195,
200,217,301,306,321,339,347,348,357,358,378,386,417,448,452,487,569,579,921,
928,945,1008,1021,1031,1047,1585],[1,2,4,5,16,19,22,25,28,38,44,45,47,49,93,
101,131,137,139,177,178,181,182,185,189,190,191,200,218,321,327,341,347,348,
354,355,376,378,413,417,471,510,581,589,921,925,931,1003,1018,1026,1039,
1586],[1,3,4,5,6,17,18,20,22,28,29,40,43,44,45,46,47,48,88,94,100,130,131,135,
136,141,142,176,180,182,183,186,187,188,191,192,201,204,217,218,322,326,328,
342,350,351,352,356,377,379,412,418,469,470,511,576,582,584,588,922,923,932,
1004,1019,1025,1040,1587],[1,3,4,5,6,17,18,20,22,28,29,40,43,44,45,46,48,49,
88,94,100,130,131,135,136,141,142,177,180,181,182,183,186,187,188,191,192,201,
204,217,218,322,326,328,342,350,351,353,355,375,379,411,418,469,470,511,576,
582,584,588,922,924,932,1002,1020,1027,1041,1588],[1,2,3,5,7,19,22,24,25,26,
29,36,38,47,49,70,84,101,150,151,157,158,161,163,176,177,178,205,207,210,215,
219,220,319,329,332,336,344,519,521,528,531,583,591,593,594,596,597,598,599,
600,601,602,939,948,1141,1142,1143,1144,1145,1151,1589],[1,2,5,7,19,22,24,25,
36,38,44,47,49,70,101,157,161,163,176,177,178,200,205,210,219,220,329,332,344,
345,347,364,371,521,528,591,594,596,597,598,930,948,1141,1147,1149,1590],[1,2,
3,5,19,22,25,26,29,38,43,47,49,84,101,150,151,158,176,177,178,183,205,207,215,
220,319,329,336,346,352,363,399,519,531,583,593,596,597,598,926,939,1141,1146,
1148,1591],[1,3,5,7,19,26,29,35,36,42,47,49,82,84,105,107,151,155,156,161,162,
163,178,206,209,210,219,220,345,505,507,519,530,560,592,594,596,600,602,836,
913,1102,1143,1147,1592],[1,3,5,6,7,19,20,26,29,35,36,37,44,47,49,67,82,83,84,
107,141,151,161,162,163,164,165,169,178,179,200,209,210,219,220,347,495,519,
523,524,534,560,561,594,595,596,600,602,837,915,1103,1143,1149,1593],[1,2,3,5,
7,15,17,22,24,25,26,32,36,43,47,70,71,72,89,91,128,150,151,158,161,168,176,
183,205,207,215,220,352,460,474,475,486,491,521,546,583,593,597,599,602,840,
912,1100,1142,1146,1594],[1,3,5,7,17,22,24,26,32,35,36,47,49,69,70,72,91,151,
158,159,161,162,176,177,207,215,220,346,450,451,475,521,522,583,597,599,602,
839,898,1101,1142,1148,1595],[1,3,5,19,26,29,35,47,49,52,82,84,151,156,178,
193,209,345,426,445,505,519,836,1034,1054,1596],[1,3,5,6,19,20,26,29,35,44,47,
48,49,67,82,84,141,151,164,169,178,180,200,209,347,434,445,495,519,523,534,
837,1052,1056,1597],[1,3,5,7,22,24,26,32,35,36,45,47,49,51,69,70,72,158,159,
161,162,176,177,182,198,346,397,405,450,451,521,522,839,1011,1012,1598],[1,2,
3,5,7,22,24,25,26,32,36,43,47,50,51,70,71,72,128,150,161,168,176,183,195,198,
352,404,405,460,486,491,521,840,1045,1046,1599],[1,2,3,4,5,15,16,25,26,28,35,
38,44,49,50,51,89,93,104,137,147,169,173,185,195,198,209,357,442,444,467,480,
510,513,842,1024,1051,1600],[1,2,5,19,22,25,38,43,44,47,49,101,176,177,178,
183,200,205,220,329,345,346,347,352,363,364,371,399,596,597,598,926,930,1141,
1601],[1,5,6,19,20,35,44,47,49,67,82,164,178,200,203,209,220,316,364,419,433,
445,523,596,976,1052,1103,1602],[1,3,5,19,26,29,35,44,47,49,82,84,156,178,187,
200,209,220,310,348,369,421,445,505,596,952,1054,1102,1603],[1,3,5,22,26,32,
35,43,45,47,51,69,72,158,176,182,183,198,220,300,356,397,403,405,450,597,978,
1011,1101,1604],[1,2,3,5,22,25,26,32,45,47,49,51,71,72,150,176,177,182,189,
198,220,305,361,381,393,405,460,597,980,1045,1100,1605],[1,3,5,7,19,26,29,35,
36,42,44,47,49,82,84,105,107,155,156,161,162,163,178,200,206,209,210,215,219,
220,336,347,419,436,505,507,530,560,592,594,596,599,601,913,985,1102,1144,
1149,1606],[1,5,6,7,19,20,35,36,37,47,49,67,82,83,107,161,162,163,164,165,178,
179,209,210,215,219,220,336,345,374,433,523,524,560,561,594,595,596,599,601,
915,986,1103,1144,1147,1607],[1,3,5,17,22,26,32,35,43,47,49,69,72,91,151,158,
176,177,183,207,215,219,220,344,352,383,416,450,475,583,597,600,601,898,987,
1101,1145,1146,1608],[1,2,3,5,15,17,22,25,26,32,47,49,71,72,89,91,150,151,158,
176,177,205,207,215,219,220,344,346,393,396,460,474,475,546,583,593,597,600,
601,912,989,1100,1145,1148,1609],[1,3,5,19,26,29,35,44,47,49,52,82,84,156,178,
193,200,209,215,336,347,419,426,436,445,505,985,1034,1054,1610],[1,5,6,19,20,
35,47,48,49,67,82,164,178,180,209,215,336,345,374,433,434,445,523,986,1052,
1056,1611],[1,3,5,22,26,32,35,43,45,47,49,51,69,72,158,176,177,182,183,198,
219,344,352,383,397,405,416,450,987,1011,1012,1612],[1,2,3,5,22,25,26,32,47,
49,50,51,71,72,150,176,177,195,198,219,344,346,393,396,404,405,460,989,1045,
1046,1613],[1,2,3,5,15,25,26,35,38,44,45,49,50,51,89,104,169,185,189,195,198,
209,218,341,357,387,439,442,444,467,996,1024,1051,1614],[1,2,5,11,25,38,44,45,
47,50,76,185,189,195,205,212,218,220,324,341,358,368,410,598,998,1130,1150,
1615],[1,2,4,5,11,16,25,28,38,44,47,50,76,93,137,144,173,185,195,205,212,220,
324,358,429,510,555,598,998,1092,1150,1616],[1,4,6,7,8,10,23,37,41,54,57,63,
65,109,222,235,237,239,248,254,607,659,667,1155,1617],[1,3,5,6,8,9,19,32,40,
55,56,64,65,114,221,228,233,241,249,251,606,656,663,1153,1618],[1,4,6,7,8,9,
21,34,41,54,57,65,66,117,221,229,234,242,248,252,605,657,664,1152,1619],[1,2,
3,6,8,10,11,15,31,59,60,62,65,90,222,226,230,243,245,256,608,653,665,1154,
1620],[1,2,4,8,10,11,16,50,54,61,62,144,222,226,230,243,246,258,604,625,640,
681,1154,1621],[1,5,7,8,9,19,36,49,57,58,64,163,221,228,233,241,253,259,603,
629,636,679,1153,1622],[1,6,7,8,9,21,37,48,57,58,65,166,221,229,234,242,254,
260,603,630,637,680,1152,1623],[1,4,6,8,10,23,34,48,54,61,65,160,222,235,237,
239,252,260,604,634,635,677,1155,1624],[1,2,4,8,10,11,16,50,54,62,63,144,222,
226,230,243,244,261,607,625,685,1154,1625],[1,5,7,8,9,19,24,43,57,64,66,124,
221,228,233,240,241,262,605,615,684,1153,1626],[1,6,8,9,21,23,46,56,65,127,
221,229,234,239,242,263,606,614,683,1152,1627],[1,6,8,10,21,23,46,59,65,127,
222,235,237,239,242,263,608,617,683,1155,1628],[1,5,19,35,53,82,265,1629],[1,
2,3,6,11,15,31,48,52,53,90,196,208,223,224,225,431,609,610,611,612,613,1158,
1159,1160,1630],[1,2,4,5,8,11,19,22,25,28,38,45,54,73,76,101,134,139,182,226,
228,279,376,452,620,766,1165,1631],[1,2,4,5,8,11,16,19,22,25,28,38,45,50,54,
76,93,101,131,139,144,173,189,195,226,228,279,386,410,471,555,620,625,780,
1165,1632],[1,5,6,9,19,20,35,47,56,67,82,164,178,233,238,265,374,523,622,741,
1164,1633],[1,2,5,6,10,11,19,20,22,25,38,44,59,67,76,101,125,138,200,230,236,
279,378,500,616,742,1162,1634],[1,3,5,6,10,12,20,21,22,23,27,29,39,40,44,46,
59,68,78,100,102,125,127,141,143,203,204,232,236,237,280,379,380,501,504,616,
617,743,1163,1635],[1,2,3,5,10,11,19,22,25,26,29,38,44,47,60,76,84,101,130,
133,150,158,178,200,230,236,279,371,417,456,531,618,633,744,1162,1636],[1,3,4,
5,6,10,12,20,22,23,27,28,29,34,39,40,45,48,61,78,87,100,102,131,136,152,160,
180,202,232,236,237,280,373,418,458,533,619,634,745,1163,1637],[1,3,5,9,19,26,
29,35,44,47,55,82,84,156,169,178,200,233,238,265,369,419,505,534,626,631,814,
1164,1638],[1,2,5,7,8,11,19,22,24,25,36,38,43,49,57,70,76,101,124,128,157,163,
177,183,226,228,279,399,413,448,528,615,629,798,1165,1639],[1,5,7,8,19,35,36,
49,57,82,107,162,163,209,228,265,445,560,629,818,1161,1640],[1,3,4,5,6,10,12,
18,20,22,23,27,28,29,39,40,45,52,61,78,94,100,102,131,142,145,172,186,193,232,
236,237,280,385,409,469,554,619,639,781,1163,1641],[1,2,4,5,10,11,16,19,22,25,
28,38,45,50,61,76,93,101,131,139,144,173,189,195,230,236,279,386,410,471,555,
619,640,780,1162,1642],[1,3,5,6,10,12,17,20,22,23,27,29,39,40,44,51,60,78,88,
100,102,130,141,146,171,187,194,232,236,237,280,384,408,470,553,618,638,782,
1163,1643],[1,2,3,4,6,10,11,12,13,15,16,18,23,30,31,34,48,50,52,61,75,90,96,
99,144,145,147,148,154,160,196,197,208,230,231,235,271,407,431,432,477,517,
518,635,640,641,825,1167,1644],[1,3,5,10,12,14,17,22,26,32,47,51,60,72,91,97,
146,149,151,158,198,207,232,236,269,405,430,475,516,633,638,824,1168,1645],[1,
2,3,4,6,10,11,12,13,15,16,18,23,30,31,34,48,50,52,61,75,90,96,99,144,145,147,
148,154,160,196,197,208,230,232,237,271,407,431,432,477,517,518,634,639,640,
825,1169,1646],[1,5,7,9,19,35,36,49,58,82,107,162,163,209,233,238,265,445,560,
632,636,818,1164,1647],[1,5,6,7,9,19,20,21,36,37,48,49,58,67,68,83,163,165,
166,179,180,233,234,266,434,435,524,525,636,637,763,1166,1648],[1,2,5,9,19,22,
25,35,38,64,69,82,101,104,108,111,233,238,265,293,295,650,655,661,688,1164,
1649],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,31,32,38,40,65,67,72,76,80,84,85,
89,90,100,101,114,116,119,121,226,228,279,283,286,290,298,642,653,656,691,
1165,1650],[1,2,5,10,11,19,22,25,35,38,62,69,71,76,82,101,104,108,111,230,236,
277,279,281,293,295,644,647,658,689,1162,1651],[1,3,4,5,6,7,10,12,20,22,23,24,
27,28,29,33,36,37,39,40,41,42,63,70,73,74,78,79,83,100,102,103,105,106,109,
110,112,113,232,236,237,278,280,282,294,296,646,649,659,690,1163,1652],[1,2,3,
5,6,10,11,12,13,14,15,20,23,25,26,27,29,30,31,32,38,39,40,62,75,76,77,78,80,
81,85,86,89,90,92,95,96,97,102,115,116,118,119,120,121,122,123,230,231,235,
271,272,273,274,288,290,291,292,299,645,647,648,662,694,1167,1653],[1,3,5,6,9,
17,20,21,22,29,35,40,44,64,68,69,88,100,125,130,141,181,187,203,216,227,229,
238,447,470,501,573,643,650,651,669,899,1654],[1,3,5,9,17,22,26,32,35,47,64,
69,72,91,151,158,176,207,215,227,238,450,475,583,650,652,670,898,1655],[1,3,5,
6,9,19,20,21,23,27,30,32,39,40,46,55,56,64,67,68,86,102,114,115,127,143,204,
229,241,249,251,266,285,318,499,504,614,621,643,663,728,1170,1188,1205,1656],[
1,4,5,6,7,8,19,20,21,24,28,34,41,43,45,54,57,65,67,68,87,103,117,124,126,139,
140,142,201,202,228,242,248,252,266,284,317,496,498,502,503,615,620,642,664,
729,1171,1189,1204,1657],[1,3,4,5,6,7,8,19,20,23,24,27,28,30,32,33,36,37,39,
40,41,42,43,45,49,54,57,65,67,83,86,102,103,106,109,110,112,113,114,115,124,
126,139,140,153,159,163,165,167,168,179,201,211,213,228,239,248,254,285,296,
335,502,524,532,536,537,538,563,564,615,620,629,642,656,667,740,1184,1204,
1206,1209,1218,1658],[1,3,4,5,6,7,9,20,21,23,24,27,28,33,34,36,37,39,40,41,42,
46,48,55,56,58,64,66,68,83,87,102,103,106,109,110,112,113,117,127,143,152,160,
166,170,180,204,214,229,240,249,250,253,255,284,296,334,504,525,533,535,540,
565,614,621,630,643,657,668,739,1183,1205,1207,1208,1219,1659],[1,2,3,5,6,9,
15,19,20,22,25,26,29,31,32,35,38,40,44,47,55,56,64,69,71,72,80,100,101,111,
114,116,119,121,133,138,150,156,164,169,176,181,212,238,241,249,251,277,298,
302,453,460,484,490,527,539,622,626,631,650,661,663,718,1181,1210,1211,1212,
1223,1660],[1,3,4,5,6,7,9,12,17,18,24,27,28,29,33,36,37,39,40,41,42,51,52,55,
56,58,64,66,74,78,79,88,94,98,105,106,110,112,113,145,146,171,172,174,175,193,
194,199,227,240,249,250,253,255,270,282,309,478,479,481,553,554,559,623,627,
628,651,654,668,726,1179,1186,1187,1214,1215,1661],[1,2,3,5,6,10,11,15,20,22,
25,26,29,31,32,35,38,40,44,47,59,60,62,71,76,80,85,89,90,104,108,111,116,119,
121,125,130,133,138,150,156,158,164,169,185,205,212,236,243,245,256,281,290,
324,463,467,474,484,494,508,539,562,616,618,633,644,658,665,719,1176,1195,
1197,1199,1221,1662],[1,3,5,6,7,9,20,22,24,29,35,36,37,40,42,47,49,55,56,58,
64,66,69,70,83,100,105,107,110,155,156,161,162,164,165,176,177,210,238,240,
249,250,253,255,267,294,332,521,522,526,527,530,561,622,626,632,650,660,668,
737,1182,1203,1212,1213,1217,1663],[1,2,3,4,5,6,10,16,18,20,22,25,28,29,31,34,
44,45,59,60,61,62,63,71,73,85,87,93,94,99,125,130,131,133,134,136,137,138,142,
185,189,190,191,236,244,246,247,256,257,268,276,327,463,466,510,512,541,545,
548,551,616,618,619,644,646,666,732,1173,1190,1191,1197,1198,1664],[1,3,5,6,9,
12,13,14,17,19,26,27,29,30,32,39,40,51,55,56,64,78,81,84,88,91,92,97,114,120,
123,146,149,171,194,198,227,241,249,251,275,289,313,514,516,553,558,623,624,
627,651,652,663,734,1180,1200,1202,1214,1216,1665],[1,5,6,8,19,20,35,47,65,67,
82,164,178,228,265,374,523,642,741,1161,1666],[1,2,5,6,8,11,19,20,22,25,38,44,
65,67,76,101,125,138,200,226,228,279,378,500,642,742,1165,1667],[1,2,3,5,6,10,
12,20,22,23,25,27,29,39,40,44,62,71,78,100,102,133,138,181,232,236,237,280,
375,453,644,764,1163,1668],[1,2,4,5,10,11,19,22,25,28,38,45,63,73,76,101,134,
139,182,230,236,279,376,452,646,766,1162,1669],[1,3,4,5,6,10,12,20,22,23,27,
28,29,39,40,43,63,73,78,100,102,135,140,183,232,236,237,280,377,454,646,765,
1163,1670],[1,2,3,5,10,12,14,22,25,26,32,47,62,71,72,97,150,176,232,236,269,
394,460,644,767,1168,1671],[1,3,4,5,10,12,14,22,26,28,32,49,63,72,73,97,153,
177,232,236,269,396,461,646,768,1168,1672],[1,5,7,9,19,35,36,49,66,82,107,162,
163,209,233,238,265,445,560,660,818,1164,1673],[1,5,6,9,19,20,21,35,47,64,67,
68,82,164,178,233,234,266,433,523,655,762,1166,1674],[1,2,5,10,11,25,38,44,47,
62,76,185,205,212,230,324,647,998,1675],[1,3,5,9,19,26,29,35,47,64,82,84,151,
156,178,233,345,505,519,655,836,1185,1676],[1,2,4,5,10,11,16,22,25,28,35,38,
50,62,63,71,73,76,93,104,108,111,144,173,195,236,243,244,261,268,281,308,480,
555,644,646,658,685,725,1173,1176,1224,1677],[1,2,5,7,9,19,22,24,25,35,36,38,
43,64,66,69,70,71,101,107,111,124,128,183,238,240,241,262,267,277,300,448,486,
650,660,661,684,695,1181,1182,1228,1678],[1,3,4,5,7,9,17,18,19,24,26,28,29,33,
43,45,64,66,74,84,88,91,94,98,124,129,135,136,139,186,188,227,240,241,262,270,
275,326,462,511,542,549,651,652,654,684,730,1179,1180,1227,1679],[1,3,5,6,8,
19,20,21,23,27,30,32,39,40,46,65,67,68,86,102,114,115,127,143,204,228,239,242,
263,266,285,318,499,504,642,656,683,728,1171,1184,1225,1680],[1,4,5,6,7,9,19,
20,21,24,28,34,41,43,45,64,66,67,68,87,103,117,124,126,139,140,142,201,202,
229,240,241,262,266,284,317,496,498,502,503,643,657,684,729,1170,1183,1226,
1681],[1,3,5,6,9,20,22,29,35,40,43,47,49,55,56,64,69,100,156,164,176,177,183,
211,238,249,259,262,300,304,352,363,377,416,527,622,626,650,671,1120,1212,
1228,1231,1682],[1,3,5,6,9,20,21,23,27,39,40,43,45,46,48,49,55,56,64,68,102,
127,143,179,180,201,202,204,211,213,229,249,259,262,317,335,349,351,373,435,
504,614,621,643,671,1109,1205,1226,1233,1683],[1,4,5,6,7,8,19,20,24,28,41,43,
45,46,48,54,57,65,67,103,124,126,139,140,180,201,204,214,228,248,260,263,318,
334,350,351,372,434,502,615,620,642,672,1108,1204,1225,1232,1684],[1,2,3,5,6,
10,20,22,25,29,31,44,50,59,60,62,71,85,125,130,133,138,185,195,197,236,256,
258,261,308,314,357,358,404,424,463,616,618,644,673,1124,1197,1224,1234,
1685],[1,3,5,6,9,12,17,27,29,39,40,43,45,49,51,52,55,56,64,78,88,146,171,186,
188,193,194,206,211,213,227,249,259,262,325,326,360,366,409,428,553,623,627,
651,671,1127,1214,1227,1229,1686],[1,3,5,7,9,22,24,26,32,35,36,43,44,49,55,64,
66,69,70,72,107,159,168,169,177,181,183,238,240,251,259,267,398,415,416,451,
490,491,631,650,660,678,804,1182,1210,1231,1687],[1,2,3,4,5,10,15,16,22,25,26,
28,47,50,60,62,63,71,73,89,93,147,150,158,195,205,236,244,245,258,268,404,429,
474,513,633,644,646,682,822,1173,1195,1234,1688],[1,2,3,4,6,10,11,12,13,15,16,
18,23,30,31,34,48,50,52,61,62,75,90,96,99,144,145,147,148,154,160,196,197,208,
235,243,246,258,271,407,431,432,477,517,518,635,645,681,825,1172,1196,1235,
1689],[1,2,4,5,10,11,16,22,25,28,35,38,45,50,61,62,71,76,93,104,108,111,131,
134,144,173,189,195,236,243,246,258,281,387,404,410,480,548,555,619,644,658,
681,783,1176,1190,1234,1690],[1,2,4,5,10,11,16,19,22,25,28,38,45,50,61,62,76,
93,101,131,139,144,173,189,195,230,243,246,258,279,386,410,471,555,640,647,
681,780,1175,1192,1236,1691],[1,2,3,4,6,10,11,13,14,15,16,18,27,30,31,34,39,
48,50,52,61,62,77,90,95,99,118,122,144,147,148,152,154,172,196,197,208,231,
243,246,258,272,390,431,443,518,547,557,641,648,662,681,831,1174,1193,1237,
1692],[1,5,6,7,8,19,20,21,36,37,48,49,57,65,67,68,83,163,165,166,179,180,228,
242,254,260,266,434,435,524,525,629,642,680,763,1171,1209,1232,1693],[1,5,6,7,
9,19,20,21,36,37,48,49,58,64,67,68,83,163,165,166,179,180,229,241,253,259,266,
434,435,524,525,630,643,679,763,1170,1208,1233,1694],[1,3,5,7,9,17,19,26,29,
36,42,49,52,58,64,84,88,91,105,155,163,174,193,206,227,241,253,259,275,426,
428,479,507,628,651,652,679,797,1180,1186,1229,1695],[1,3,4,5,6,7,9,20,21,24,
27,28,30,32,34,41,46,48,49,55,64,66,68,86,87,103,117,143,153,154,159,179,180,
204,229,240,251,259,284,372,435,438,499,520,532,621,643,657,678,834,1183,1188,
1233,1696],[1,3,4,5,6,8,19,20,23,27,28,30,32,34,39,40,45,48,54,65,67,86,87,
102,114,115,139,142,152,154,160,180,202,228,239,252,260,285,373,434,437,498,
520,533,620,642,656,677,833,1184,1189,1232,1697],[1,2,5,7,9,19,22,24,25,35,36,
38,43,49,58,64,69,70,71,101,111,128,157,162,163,177,183,238,241,253,259,277,
393,399,416,486,522,528,632,650,661,679,807,1181,1203,1231,1698],[1,3,4,5,7,9,
13,14,17,18,24,28,29,32,33,49,51,52,55,64,66,74,88,92,94,98,148,149,153,159,
193,194,206,227,240,251,259,270,406,427,428,476,514,515,624,651,654,678,823,
1179,1200,1229,1699],[1,2,3,4,6,8,11,12,13,15,16,18,23,30,31,34,48,50,52,54,
65,75,90,96,99,144,145,147,148,154,160,196,197,208,226,239,252,260,271,407,
431,432,477,517,518,625,653,677,825,1178,1201,1230,1700],[1,5,7,9,19,35,36,49,
58,64,82,107,162,163,209,233,241,253,259,265,445,560,636,655,679,818,1177,
1220,1238,1701],[1,3,5,7,9,22,24,26,32,35,36,43,44,49,55,58,64,69,70,72,162,
168,169,177,181,183,238,251,253,262,300,353,383,398,490,491,522,631,632,650,
674,1084,1203,1210,1228,1702],[1,2,3,4,5,10,15,16,22,25,26,28,45,47,50,60,61,
62,71,89,93,131,134,147,150,158,189,195,205,236,245,246,261,308,368,429,439,
474,513,548,619,633,644,676,1094,1190,1195,1224,1703],[1,4,5,6,7,8,19,20,28,
34,36,37,45,46,49,54,57,65,67,83,87,139,142,163,165,170,179,202,204,228,252,
254,263,318,349,370,438,498,524,535,620,629,642,675,1061,1189,1209,1225,
1704],[1,3,5,6,7,9,20,21,27,30,32,36,37,43,45,46,48,55,58,64,68,83,86,143,166,
167,168,180,201,202,204,229,251,253,262,317,350,370,437,499,525,536,621,630,
643,674,1060,1188,1208,1226,1705],[1,3,5,7,9,13,14,17,29,32,36,42,43,45,51,52,
55,58,64,88,92,105,149,167,168,174,186,188,193,194,227,251,253,262,326,359,
389,441,468,479,514,624,628,651,674,1098,1186,1200,1227,1706],[1,5,9,19,35,44,
47,64,82,178,200,233,345,348,419,655,892,1185,1707],[1,5,7,9,19,36,47,49,58,
161,163,178,210,219,220,233,345,594,596,636,1147,1185,1708],[1,5,7,9,19,36,47,
49,58,64,161,163,178,210,215,219,220,241,253,259,336,594,596,599,601,670,679,
1144,1239,1240,1243,1709],[1,4,5,7,9,19,24,28,43,44,45,64,66,124,132,137,139,
184,190,191,192,200,216,217,218,240,241,262,337,340,343,566,569,577,589,669,
684,999,1241,1242,1244,1710],[1,4,6,8,9,10,34,54,56,59,61,63,65,221,222,252,
257,604,606,607,608,686,1157,1248,1250,1711],[1,6,7,8,9,10,37,56,57,58,59,65,
66,221,222,254,255,603,605,606,608,686,1156,1248,1249,1712],[1,6,8,9,10,46,56,
59,65,221,222,263,606,608,686,1248,1713],[1,2,3,6,10,23,30,31,53,59,60,62,75,
223,224,225,235,256,611,645,1251,1714],[1,2,3,6,10,13,31,39,53,59,60,62,77,
223,224,225,231,256,611,648,1252,1715],[1,2,3,10,13,14,15,53,60,62,118,224,
225,231,245,610,662,1252,1716],[1,2,3,6,8,11,15,31,53,65,90,223,224,225,226,
264,609,610,611,653,687,1158,1254,1717],[1,3,4,10,13,18,52,53,60,61,63,148,
224,231,247,613,641,1252,1718],[1,4,6,10,23,34,48,53,59,61,63,160,223,235,257,
612,635,1251,1719],[1,6,7,9,21,37,48,53,56,58,66,166,223,234,255,612,637,1253,
1720],[1,2,3,5,6,11,12,13,14,15,19,20,21,22,23,25,26,27,29,30,31,32,38,39,40,
44,46,67,68,72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,100,101,102,114,
115,116,118,119,120,121,122,123,125,127,138,141,143,200,203,204,266,269,271,
272,273,274,279,280,283,285,286,287,288,289,290,291,292,297,298,299,316,318,
378,379,380,421,422,423,495,497,499,500,501,504,691,692,693,694,727,728,742,
743,788,789,790,855,856,857,1257,1262,1263,1295,1296,1721],[1,2,3,5,6,11,12,
13,14,15,17,19,20,22,23,25,26,27,29,30,31,32,38,39,40,44,47,51,67,72,75,76,77,
78,80,81,84,85,86,88,89,90,91,92,95,96,97,100,101,102,114,115,116,118,119,120,
121,122,123,130,133,141,146,149,150,151,158,171,178,187,194,198,200,207,269,
271,272,273,274,275,279,280,283,285,286,287,288,289,290,291,292,297,298,299,
310,313,319,371,384,392,405,408,417,425,430,433,436,440,442,456,470,475,495,
514,516,519,531,543,546,553,558,691,692,693,694,700,703,734,744,782,786,791,
820,824,827,830,832,858,860,864,866,885,887,1257,1264,1266,1272,1297,1303,
1305,1722],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,
32,34,38,39,40,45,48,50,52,67,72,75,76,77,78,80,81,84,85,86,87,89,90,92,93,94,
95,96,97,99,100,101,102,114,115,116,118,119,120,121,122,123,131,136,139,142,
144,145,147,148,152,154,160,172,173,180,186,189,193,195,196,197,202,208,269,
271,272,273,274,276,279,280,283,285,286,287,288,289,290,291,292,297,298,299,
311,314,315,320,373,385,386,390,391,407,409,410,418,424,426,431,432,434,437,
439,441,443,458,469,471,477,498,513,515,517,518,520,533,541,542,547,554,555,
556,557,691,692,693,694,702,704,733,735,745,780,781,787,792,819,821,825,826,
828,829,831,833,859,861,862,863,865,867,884,886,888,1257,1265,1267,1273,1274,
1298,1302,1304,1306,1723],[1,2,4,5,11,16,19,22,25,28,35,38,45,50,69,71,73,76,
82,93,101,104,108,111,131,134,139,144,173,182,189,195,265,268,277,279,281,293,
295,305,308,376,386,387,397,404,410,452,471,480,485,548,555,688,689,722,725,
749,756,766,780,783,844,848,850,1256,1268,1269,1284,1289,1724],[1,2,5,7,11,19,
22,24,25,35,36,38,43,49,69,70,71,76,82,101,104,107,108,111,124,128,157,162,
163,177,183,209,265,267,277,279,281,293,295,300,331,393,399,413,416,444,445,
448,486,522,528,529,560,688,689,695,736,798,807,810,818,835,868,870,889,1256,
1270,1271,1299,1301,1725],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,
44,47,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,
125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,265,277,279,
281,283,286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,447,
450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,
688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,813,
814,815,816,872,880,882,883,890,1256,1307,1311,1312,1314,1378,1381,1726],[1,2,
3,5,6,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,67,69,
71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,130,133,138,150,156,158,164,169,176,
178,181,185,200,205,212,269,271,272,273,274,277,279,280,281,283,285,286,287,
288,289,290,291,292,293,295,297,298,299,302,321,324,329,333,375,382,394,400,
402,412,447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,
534,539,562,689,691,692,693,694,699,705,707,709,712,714,718,719,738,751,761,
764,767,771,774,776,778,799,801,846,853,875,877,890,1257,1287,1291,1293,1308,
1379,1381,1727],[1,2,3,4,5,6,7,11,12,13,14,15,19,20,22,23,24,25,26,27,28,29,
30,31,32,33,36,37,38,39,40,41,42,43,45,49,67,70,72,73,74,75,76,77,78,79,80,81,
83,84,85,86,89,90,92,95,96,97,100,101,102,103,105,106,109,110,112,113,114,115,
116,118,119,120,121,122,123,124,126,128,129,134,135,139,140,153,155,157,159,
163,165,167,168,177,179,182,183,188,201,206,211,213,269,271,272,273,274,278,
279,280,282,283,285,286,287,288,289,290,291,292,294,296,297,298,299,303,304,
322,325,330,335,376,377,381,383,396,399,401,403,411,413,446,448,451,452,454,
457,461,462,464,468,476,482,483,489,491,492,493,502,506,507,509,524,526,528,
532,536,537,538,563,564,690,691,692,693,694,697,698,706,708,710,713,715,716,
717,720,721,740,752,753,759,760,765,766,768,770,772,773,775,777,779,798,800,
802,847,852,854,874,876,878,879,891,1257,1286,1288,1292,1294,1309,1310,1380,
1382,1728],[1,2,3,5,7,15,17,19,22,24,25,26,29,32,35,36,38,43,45,47,69,70,71,
72,84,88,89,91,101,107,111,119,124,128,150,151,158,167,176,178,182,183,189,
205,207,215,267,275,277,286,300,305,319,329,336,356,376,397,403,414,448,450,
460,474,475,486,489,519,531,546,583,593,695,703,707,775,803,844,898,912,939,
963,978,1012,1090,1275,1333,1387,1404,1424,1729],[1,2,3,4,5,15,16,17,19,22,25,
26,28,29,32,35,38,45,47,49,50,69,71,72,73,84,88,89,91,93,101,111,119,131,134,
139,147,150,151,153,158,176,177,178,182,189,195,205,207,209,215,268,275,277,
286,305,308,319,329,331,336,361,368,381,386,393,395,404,413,429,439,450,452,
460,461,471,474,475,485,513,519,531,546,548,583,593,703,707,722,769,772,821,
822,848,868,898,912,939,959,966,980,982,1014,1046,1081,1094,1275,1332,1374,
1385,1402,1411,1450,1730],[1,2,3,4,5,6,15,16,18,19,20,22,25,26,28,29,31,32,34,
35,38,40,44,45,47,49,50,67,69,71,72,73,84,85,87,89,93,94,99,100,101,111,116,
119,125,130,131,133,134,136,137,138,139,141,142,147,150,151,153,158,176,177,
178,181,182,185,186,189,190,191,195,200,202,205,209,212,218,268,276,277,283,
286,305,308,311,321,327,329,331,333,341,348,361,364,368,371,378,381,386,393,
395,404,413,417,421,429,433,436,439,447,450,452,453,456,458,460,461,463,466,
469,471,474,485,495,498,500,510,512,513,519,531,541,542,545,548,551,568,572,
581,582,589,590,702,707,709,722,732,769,772,788,791,821,822,832,848,868,872,
904,908,917,918,931,934,950,954,959,966,974,980,982,1003,1005,1016,1018,1031,
1047,1062,1065,1081,1094,1280,1346,1370,1372,1385,1395,1402,1407,1417,1443,
1449,1731],[1,2,3,4,5,6,7,13,14,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,
33,34,36,40,41,43,44,45,46,47,48,49,51,52,68,70,71,72,73,74,85,86,87,88,92,93,
94,98,99,100,103,112,117,123,125,126,128,129,130,131,132,133,134,135,136,137,
138,140,141,142,143,148,149,150,153,154,159,176,177,179,180,181,183,184,185,
186,187,188,189,190,191,192,193,194,199,201,202,203,204,206,210,214,216,217,
218,268,270,276,278,284,287,306,307,309,312,323,327,328,330,332,334,343,349,
362,363,365,366,367,372,379,382,383,384,385,393,395,406,411,412,418,423,427,
428,435,437,438,440,441,449,451,453,454,455,457,458,459,460,461,463,464,465,
466,469,470,472,473,476,486,487,488,496,497,499,501,503,510,511,512,514,515,
520,532,541,543,544,545,548,549,550,551,552,566,567,568,570,573,574,575,576,
577,578,579,580,581,584,585,586,587,588,590,701,708,711,723,724,731,732,769,
770,771,789,792,819,820,823,834,849,869,873,905,906,907,909,910,916,918,919,
920,933,937,938,951,955,960,961,965,967,975,981,983,1002,1004,1006,1007,1015,
1017,1019,1020,1032,1033,1048,1049,1064,1066,1080,1082,1095,1096,1282,1347,
1371,1373,1386,1396,1403,1405,1406,1418,1419,1441,1442,1447,1448,1732],[1,2,3,
4,5,6,7,16,18,19,20,22,24,25,26,28,29,31,34,35,36,37,38,40,42,43,44,45,46,49,
51,67,69,70,71,73,83,84,85,87,93,94,99,100,101,105,110,111,116,125,128,130,
131,133,134,136,137,138,139,142,155,157,162,163,165,170,175,177,179,181,182,
183,185,186,189,190,191,194,198,200,202,204,206,211,218,268,276,277,283,294,
304,305,311,313,318,321,327,330,341,349,353,362,366,370,377,379,384,389,393,
398,399,411,415,416,422,425,427,438,447,452,453,456,458,463,466,469,471,478,
485,486,498,500,506,507,509,510,512,522,524,526,528,535,541,542,545,548,551,
568,572,581,582,589,590,702,706,709,722,732,747,750,757,794,795,807,808,856,
860,874,904,908,917,918,931,934,951,953,957,960,962,967,971,1002,1006,1010,
1040,1043,1049,1061,1071,1075,1087,1280,1337,1340,1345,1390,1394,1399,1405,
1408,1432,1454,1733],[1,2,3,4,5,6,7,16,17,18,19,20,22,24,25,26,28,29,31,33,34,
36,37,38,40,41,42,43,44,45,46,47,49,52,67,70,73,74,83,84,85,87,88,91,93,94,98,
99,100,101,103,105,110,112,116,124,126,128,129,130,131,132,133,134,135,136,
137,139,140,141,142,155,157,161,163,165,170,174,176,177,179,181,182,183,184,
186,187,188,189,190,191,192,193,196,200,201,202,204,206,212,217,218,270,275,
276,278,283,294,302,307,310,311,315,318,322,326,328,330,342,349,354,363,367,
370,375,379,385,388,395,398,400,412,414,415,422,426,428,438,446,448,452,454,
455,456,457,458,462,464,465,469,470,471,472,479,487,488,495,498,502,506,507,
509,511,512,521,524,526,528,535,541,542,543,544,549,550,551,552,567,568,569,
571,576,578,580,582,584,586,588,589,700,702,706,710,724,730,731,747,748,758,
794,797,806,809,856,862,875,902,903,911,916,917,920,932,935,936,951,953,956,
961,964,965,972,1004,1007,1009,1041,1044,1048,1061,1070,1076,1086,1281,1335,
1342,1343,1390,1393,1398,1406,1410,1433,1455,1734],[1,2,3,4,5,6,7,16,17,18,19,
20,22,24,25,26,28,29,31,33,34,35,36,38,40,41,43,44,45,47,49,50,67,69,70,73,74,
82,84,85,87,88,91,93,94,98,99,100,101,103,104,108,112,116,124,126,128,129,130,
131,132,133,134,135,136,137,139,140,141,142,156,162,164,169,173,176,177,178,
182,183,184,186,187,188,189,190,191,192,195,197,200,201,202,203,205,213,217,
218,270,275,276,278,283,293,303,307,310,311,314,316,322,326,328,329,342,348,
356,361,368,369,376,378,386,387,395,397,401,413,414,416,421,424,429,436,446,
448,452,454,455,456,457,458,462,464,465,469,470,471,472,480,485,488,495,498,
502,505,508,511,512,522,523,527,534,541,542,543,544,549,550,551,552,567,568,
569,571,576,578,580,582,584,586,588,589,700,702,705,710,724,730,731,746,749,
756,793,796,805,810,855,861,876,902,903,911,916,917,920,932,935,936,950,952,
958,959,963,966,973,1003,1005,1008,1039,1042,1047,1059,1069,1074,1088,1281,
1336,1341,1344,1389,1392,1397,1407,1409,1434,1453,1735],[1,2,3,4,5,6,7,15,16,
19,20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,47,50,67,69,70,71,72,
73,74,84,85,89,93,100,101,103,107,111,112,116,119,124,125,126,128,129,130,131,
132,133,134,135,138,139,140,141,147,150,151,158,167,176,178,181,182,183,184,
185,188,189,192,195,200,201,205,212,217,267,268,277,278,283,286,300,301,305,
306,308,321,322,329,333,339,348,356,364,368,371,376,378,386,397,403,404,414,
417,421,429,433,436,439,446,447,448,449,450,452,453,454,456,457,460,462,463,
464,471,473,474,485,486,487,488,489,495,500,502,513,519,531,548,552,569,574,
575,576,579,580,695,696,707,709,710,722,723,775,788,791,803,821,822,832,844,
848,872,901,902,905,944,945,946,950,954,959,963,974,978,982,1008,1021,1026,
1029,1039,1042,1062,1065,1090,1094,1278,1338,1348,1375,1387,1395,1402,1409,
1412,1437,1440,1736],[1,3,4,5,6,7,13,14,17,18,20,21,22,24,26,27,28,29,30,32,
33,34,35,36,40,41,43,44,45,46,48,49,51,52,68,69,70,72,73,74,86,87,88,92,94,98,
100,103,107,112,117,123,125,126,129,130,131,132,136,137,141,142,143,148,149,
153,154,159,168,169,177,179,180,181,182,183,184,186,187,190,191,192,193,194,
199,202,203,204,206,214,216,218,267,270,278,284,287,301,306,307,309,323,330,
334,340,349,353,354,365,366,367,372,375,377,379,384,385,398,402,403,406,415,
416,418,423,427,428,435,437,438,440,441,446,447,449,451,455,458,459,461,465,
466,469,470,472,476,485,487,488,490,491,499,501,503,514,515,520,532,549,550,
551,570,571,572,573,577,578,581,582,696,708,711,724,773,774,789,792,804,819,
820,823,834,845,849,873,899,900,903,904,906,947,951,955,960,961,962,964,975,
979,983,1009,1010,1022,1023,1025,1027,1028,1030,1040,1041,1043,1044,1064,1066,
1089,1091,1095,1096,1279,1339,1349,1376,1388,1396,1403,1408,1410,1413,1414,
1435,1436,1438,1439,1737],[1,2,3,5,6,7,17,19,20,22,24,25,26,29,31,35,36,37,38,
40,42,44,47,49,52,67,69,70,82,83,84,85,88,91,100,101,104,105,107,108,110,116,
130,133,141,155,156,157,161,162,163,164,165,169,174,176,177,178,179,187,193,
196,200,203,205,206,209,210,219,267,275,283,293,294,310,315,316,329,330,331,
332,344,348,367,369,378,385,388,421,426,428,436,456,470,479,495,505,506,507,
508,509,521,522,523,524,526,527,528,529,530,534,543,560,561,591,592,594,595,
700,705,706,736,737,746,758,793,797,855,862,913,914,915,948,949,950,952,956,
961,1034,1038,1059,1070,1283,1354,1358,1389,1393,1415,1464,1738],[1,2,3,4,5,6,
7,16,18,19,20,22,24,25,26,28,29,31,34,35,36,37,38,40,42,45,46,47,49,50,51,67,
69,70,82,83,84,85,87,93,94,99,100,101,104,105,107,108,110,116,131,136,139,142,
155,156,157,161,162,163,164,165,170,173,175,176,177,178,179,186,189,194,195,
197,198,202,204,205,206,209,210,219,267,276,283,293,294,311,313,314,318,329,
330,331,332,344,349,366,368,370,379,384,386,387,389,422,424,425,427,429,438,
458,469,471,478,480,498,505,506,507,508,509,521,522,523,524,526,527,528,529,
530,535,541,542,560,561,591,592,594,595,702,705,706,736,737,747,756,757,794,
795,796,856,860,861,913,914,915,948,949,951,953,957,958,959,960,1035,1036,
1037,1061,1069,1071,1283,1355,1356,1357,1390,1392,1394,1416,1465,1739],[1,2,3,
5,6,7,17,19,20,21,22,24,25,26,29,31,35,36,37,38,40,42,43,44,48,49,52,67,68,69,
70,71,83,84,85,88,91,100,101,105,110,111,116,125,128,130,133,138,141,155,157,
162,163,165,166,174,177,179,180,181,183,185,187,193,196,200,203,206,208,211,
216,266,275,277,283,294,304,310,315,316,320,321,330,337,353,362,365,367,377,
385,388,393,398,399,411,415,416,418,420,426,428,434,435,447,453,456,463,470,
479,486,495,497,500,501,506,507,509,522,524,525,526,528,543,573,587,700,706,
709,727,750,758,763,797,807,808,817,862,867,874,899,909,940,956,961,962,967,
971,975,977,1015,1020,1023,1025,1030,1033,1070,1073,1075,1087,1276,1360,1363,
1367,1384,1393,1399,1413,1418,1468,1471,1740],[1,2,3,4,5,6,7,16,18,19,20,21,
22,24,25,26,28,29,31,33,34,36,37,38,40,41,42,43,44,45,47,48,49,51,67,68,70,73,
74,83,84,85,87,93,94,99,100,101,103,105,110,112,116,117,124,125,126,128,129,
131,132,134,135,136,137,138,139,140,141,142,155,157,161,163,165,166,175,176,
177,179,180,181,182,183,184,186,188,189,190,191,192,194,198,200,201,202,203,
206,208,212,217,218,266,276,278,283,284,294,302,311,312,313,316,317,320,322,
323,330,338,354,363,365,366,375,384,389,395,398,400,412,414,415,418,420,425,
427,434,435,446,448,449,452,454,455,457,458,459,462,464,465,466,469,471,472,
473,478,487,495,496,497,498,500,501,502,503,506,507,509,521,524,525,526,528,
541,542,544,545,569,570,571,572,574,575,584,585,586,588,589,590,701,702,706,
710,711,727,729,748,757,763,795,806,809,817,860,867,875,900,901,907,908,910,
911,941,942,943,957,960,964,965,972,975,977,1017,1019,1022,1027,1028,1032,
1071,1073,1076,1086,1277,1359,1362,1366,1384,1394,1398,1414,1419,1467,1472,
1741],[1,2,3,4,5,6,7,16,18,19,20,21,22,24,25,26,28,29,31,33,34,35,36,38,40,41,
43,44,45,47,49,50,67,68,69,70,73,74,82,84,85,87,93,94,99,100,101,103,104,108,
112,116,117,124,125,126,128,129,131,132,134,135,136,137,138,139,140,141,142,
156,162,164,173,176,177,178,182,183,184,186,188,189,190,191,192,195,197,200,
201,202,203,205,207,213,217,218,266,276,278,283,284,293,303,311,312,314,316,
317,319,322,323,329,338,356,361,364,368,376,386,387,395,397,401,413,414,416,
417,419,424,429,433,446,448,449,452,454,455,457,458,459,462,464,465,466,469,
471,472,473,480,485,495,496,497,498,500,501,502,503,505,508,522,523,527,541,
542,544,545,569,570,571,572,574,575,584,585,586,588,589,590,701,702,705,710,
711,727,729,749,756,762,796,805,810,816,861,866,876,900,901,907,908,910,911,
941,942,943,958,959,963,966,973,974,976,1016,1018,1021,1026,1029,1031,1069,
1072,1074,1088,1277,1361,1364,1365,1383,1392,1397,1412,1417,1466,1470,1742],[
1,2,3,5,6,7,19,20,21,22,24,25,26,29,31,35,36,37,38,40,42,44,47,48,49,67,68,69,
70,82,83,84,85,100,101,104,105,107,108,110,116,125,138,141,155,156,157,161,
162,163,164,165,166,176,177,178,179,180,200,203,205,206,207,208,209,210,219,
266,267,283,293,294,316,319,320,329,330,331,332,344,364,365,417,418,419,420,
433,434,435,495,497,500,501,505,506,507,508,509,521,522,523,524,525,526,527,
528,529,530,560,561,591,592,594,595,705,706,727,736,737,762,763,816,817,866,
867,913,914,915,948,949,974,975,976,977,1056,1057,1072,1073,1283,1352,1353,
1383,1384,1420,1469,1743],[1,2,3,4,5,6,7,16,17,18,19,20,21,22,24,25,26,28,29,
31,33,34,35,36,38,40,41,43,44,45,67,68,69,70,71,73,74,84,85,87,88,91,93,94,98,
99,100,101,103,107,111,112,116,117,124,125,126,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,181,182,183,184,185,186,187,188,189,190,191,
192,200,201,202,203,216,217,218,266,267,268,270,275,276,277,278,283,284,300,
301,305,306,307,310,311,312,316,317,321,322,323,326,327,328,337,338,339,340,
341,342,343,446,447,448,449,452,453,454,455,456,457,458,459,462,463,464,465,
466,469,470,471,472,473,485,486,487,488,495,496,497,498,500,501,502,503,510,
511,512,541,542,543,544,545,548,549,550,551,552,566,567,568,569,570,571,572,
573,574,575,576,577,578,579,580,581,582,584,585,586,587,588,589,590,695,696,
700,701,702,709,710,711,722,723,724,727,729,730,731,732,899,900,901,902,903,
904,905,906,907,908,909,910,911,916,917,918,919,920,931,932,933,934,935,936,
937,938,940,941,942,943,944,945,946,947,999,1000,1001,1276,1277,1278,1279,
1280,1281,1282,1421,1422,1423,1744],[1,2,3,5,6,19,20,21,22,25,26,29,31,35,38,
40,44,47,67,68,69,82,84,85,100,101,104,108,111,116,125,138,141,150,151,156,
158,164,169,176,178,200,203,205,207,212,215,265,266,283,293,295,316,319,329,
333,336,345,347,348,364,369,371,374,417,419,433,436,495,497,500,501,505,508,
519,523,527,531,534,539,562,583,593,688,705,727,738,741,762,811,813,814,815,
816,832,836,837,866,882,883,892,893,930,939,974,976,984,985,986,1058,1059,
1062,1072,1107,1110,1137,1258,1314,1322,1383,1503,1518,1521,1545,1564,1745],[
1,2,3,5,6,15,17,19,20,22,25,26,29,31,32,35,38,40,44,47,67,69,72,82,84,85,88,
89,91,100,101,104,108,111,116,119,125,130,133,138,141,150,151,156,158,164,169,
176,178,181,185,187,200,203,205,207,212,215,216,265,275,283,286,293,295,310,
316,319,321,329,333,336,337,345,347,348,364,369,371,374,378,417,419,421,433,
436,456,467,470,475,484,490,494,495,500,505,508,519,523,527,531,534,539,543,
546,562,573,583,587,593,688,700,703,705,712,714,738,741,746,754,788,791,793,
811,813,814,815,816,832,836,837,855,858,880,882,883,892,893,921,930,939,940,
950,952,954,976,984,985,986,994,1058,1059,1062,1065,1067,1072,1107,1110,1111,
1113,1132,1137,1259,1311,1314,1318,1322,1389,1391,1501,1502,1513,1518,1523,
1524,1545,1546,1559,1561,1562,1746],[1,2,3,5,6,7,12,13,14,15,19,20,22,24,25,
26,27,29,30,31,32,35,36,37,38,39,40,42,43,44,45,47,49,69,70,71,72,78,80,81,83,
84,86,89,92,95,96,97,100,101,105,107,110,111,114,115,116,118,119,120,121,122,
123,124,126,128,129,133,138,150,155,156,157,158,159,161,162,163,164,165,167,
168,169,176,177,178,181,182,183,184,188,189,201,205,210,211,212,213,217,219,
267,269,273,274,277,286,287,289,292,294,297,298,300,301,302,303,304,305,322,
329,332,339,344,346,352,353,354,355,356,361,363,376,377,381,382,383,393,394,
396,397,398,399,400,401,402,403,412,414,415,416,446,448,450,451,453,460,468,
474,484,486,489,490,491,492,493,521,522,526,527,528,530,531,536,539,561,563,
564,574,580,591,594,693,695,697,698,707,713,718,737,750,752,753,759,760,761,
767,771,773,775,776,778,779,801,803,804,807,809,839,840,844,846,847,852,854,
871,877,895,896,897,923,926,946,948,963,968,969,972,973,978,979,980,987,988,
989,991,992,993,1074,1076,1077,1078,1080,1083,1084,1085,1087,1090,1104,1115,
1116,1119,1120,1121,1135,1139,1140,1261,1291,1294,1319,1320,1387,1401,1506,
1508,1511,1516,1528,1532,1539,1541,1543,1552,1555,1556,1747],[1,2,3,4,5,6,7,
12,13,14,15,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,
44,45,47,49,69,70,72,73,74,78,80,81,82,83,84,86,89,92,95,96,97,100,101,103,
104,105,107,108,110,112,114,115,116,118,119,120,121,122,123,124,125,126,128,
129,130,131,132,134,135,139,140,153,155,156,157,158,159,161,162,163,164,165,
167,168,169,176,177,179,181,182,183,184,185,188,192,200,201,206,209,210,211,
212,213,217,219,267,269,273,274,278,286,287,289,292,293,294,297,298,300,301,
302,303,304,306,321,322,330,331,332,339,344,346,352,353,354,355,356,361,362,
363,375,376,377,381,382,383,394,395,396,397,398,399,400,401,402,403,411,413,
414,415,416,446,447,448,449,450,451,452,454,461,467,468,476,482,483,485,487,
488,489,490,491,492,493,494,521,522,526,527,528,529,530,532,534,536,537,538,
560,561,562,563,564,569,575,576,579,592,595,693,696,697,698,699,708,712,713,
716,717,736,737,748,749,751,752,753,759,760,761,768,770,772,773,774,775,777,
778,779,802,803,804,805,806,808,810,839,841,845,846,847,852,853,854,870,871,
878,879,894,895,896,897,924,925,927,944,945,949,962,964,968,969,970,971,972,
973,978,979,981,987,988,990,991,992,993,1074,1075,1076,1077,1078,1079,1081,
1082,1083,1084,1085,1086,1088,1089,1091,1105,1106,1115,1116,1117,1118,1119,
1120,1122,1123,1134,1136,1138,1139,1140,1261,1292,1293,1294,1319,1321,1388,
1400,1401,1507,1509,1510,1512,1515,1517,1529,1530,1531,1539,1540,1541,1542,
1544,1550,1551,1553,1554,1557,1558,1748],[1,2,3,4,5,6,7,12,13,14,15,16,19,20,
22,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,43,44,45,47,49,69,70,71,72,
73,74,78,80,81,84,86,89,92,93,95,96,97,100,101,103,111,112,114,115,116,118,
119,120,121,122,123,128,131,132,133,134,135,138,139,140,150,153,155,156,157,
158,159,161,162,163,164,165,167,168,169,176,177,178,179,181,182,183,189,192,
205,206,209,210,211,212,213,219,268,269,273,274,277,278,286,287,289,292,297,
298,302,303,304,305,306,329,330,331,332,344,346,352,353,354,355,356,361,362,
363,381,382,383,393,394,395,396,399,400,401,402,403,411,412,413,414,415,416,
450,451,452,453,454,460,461,471,473,474,476,482,483,484,485,486,487,489,490,
491,521,522,526,527,528,531,532,537,538,539,548,552,591,592,594,595,693,707,
708,716,717,718,722,723,759,760,761,767,768,769,770,771,772,776,777,778,779,
801,802,805,806,807,839,840,841,846,847,868,869,877,878,879,894,895,896,897,
926,927,948,949,965,966,967,968,969,970,980,981,987,988,989,990,1077,1078,
1079,1080,1081,1082,1086,1087,1088,1089,1090,1091,1104,1105,1106,1121,1122,
1123,1134,1135,1136,1260,1291,1292,1320,1321,1385,1386,1504,1505,1511,1512,
1526,1527,1542,1543,1544,1547,1548,1549,1749],[1,2,5,7,19,22,24,25,35,36,38,
43,44,47,50,69,70,71,101,107,111,124,128,178,183,195,200,212,215,216,267,277,
300,308,333,336,337,348,364,371,378,386,404,417,448,486,695,848,872,1008,1021,
1132,1137,1316,1375,1488,1750],[1,2,4,5,16,19,22,25,28,35,38,44,45,47,49,50,
69,71,73,93,101,111,131,134,139,177,178,182,189,195,200,209,212,215,216,268,
277,305,308,331,333,336,337,348,364,371,376,378,386,393,397,404,413,417,452,
471,485,548,722,844,848,868,872,1003,1018,1026,1031,1039,1047,1132,1137,1316,
1338,1346,1370,1483,1484,1489,1751],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,29,
31,34,38,40,43,44,45,47,48,49,51,67,84,85,87,93,94,99,100,101,116,131,136,139,
142,176,177,180,181,182,183,186,189,194,198,200,202,203,208,211,212,213,217,
219,276,283,302,303,304,311,313,316,320,339,344,353,354,356,361,362,363,375,
376,377,378,384,399,400,401,411,412,413,418,421,425,434,458,469,471,498,541,
542,702,855,860,867,874,875,876,1003,1006,1019,1027,1039,1043,1134,1135,1136,
1138,1139,1140,1317,1336,1340,1362,1492,1494,1499,1752],[1,2,3,5,6,17,19,20,
22,25,26,29,31,38,40,43,44,45,46,47,48,49,50,67,84,85,88,91,100,101,116,130,
133,141,176,177,180,181,182,183,187,195,197,200,204,208,211,212,213,217,219,
275,283,302,303,304,310,314,318,320,339,344,353,354,356,361,362,363,375,376,
377,379,386,399,400,401,411,412,413,418,422,424,434,456,470,495,543,700,856,
861,867,874,875,876,1004,1005,1020,1025,1041,1042,1134,1135,1136,1138,1139,
1140,1317,1335,1341,1363,1491,1496,1498,1753],[1,2,3,4,5,6,16,18,19,20,22,25,
26,28,29,31,34,38,40,43,44,45,46,47,49,52,67,84,85,87,93,94,99,100,101,116,
131,136,139,142,176,177,178,181,182,183,186,189,193,196,202,204,207,211,212,
213,217,219,276,283,302,303,304,311,315,318,319,339,344,353,354,356,361,362,
363,375,376,377,379,385,399,400,401,411,412,413,417,422,426,433,458,469,471,
498,541,542,702,856,862,866,874,875,876,1002,1007,1018,1026,1040,1044,1134,
1135,1136,1138,1139,1140,1317,1337,1342,1364,1490,1495,1497,1754],[1,2,3,5,6,
19,20,21,22,25,26,29,31,38,40,43,44,45,47,49,50,51,52,67,68,84,85,100,101,116,
125,138,141,176,177,181,182,183,193,194,195,196,197,198,200,203,211,212,213,
217,219,266,283,302,303,304,313,314,315,316,339,344,353,354,356,361,362,363,
375,376,377,384,385,386,399,400,401,411,412,413,424,425,426,495,497,500,501,
727,860,861,862,874,875,876,1015,1016,1017,1028,1029,1030,1134,1135,1136,1138,
1139,1140,1317,1365,1366,1367,1485,1486,1487,1755],[1,2,3,5,6,7,11,15,19,20,
22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,67,69,70,71,72,76,80,82,83,
84,85,89,90,100,101,104,105,107,108,110,111,114,116,119,121,124,125,128,130,
133,138,150,155,156,157,158,159,161,162,163,164,165,168,169,176,177,178,179,
181,183,185,200,205,206,209,210,211,212,219,267,277,279,281,283,286,290,293,
294,295,298,300,302,304,321,324,329,330,331,332,333,344,346,352,353,362,363,
377,383,393,396,398,399,411,413,415,416,447,448,450,451,453,456,460,463,467,
474,484,486,490,491,492,494,500,505,506,507,508,509,521,522,523,524,526,527,
528,529,530,531,534,539,560,561,562,564,591,592,594,595,689,691,695,698,699,
705,706,707,709,712,714,718,719,736,737,738,750,753,759,798,802,804,807,808,
810,839,840,868,870,874,879,890,913,914,915,926,948,949,962,967,970,971,987,
989,1075,1076,1078,1079,1080,1084,1087,1105,1106,1116,1120,1134,1283,1299,
1310,1326,1381,1399,1400,1479,1511,1529,1532,1549,1550,1756],[1,2,3,4,5,6,7,
12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,
43,44,45,47,49,67,69,70,72,73,74,75,77,78,79,80,81,82,83,84,85,86,92,95,96,97,
100,101,102,103,104,105,106,107,108,109,110,112,113,114,115,116,119,120,121,
122,123,124,125,126,128,129,130,131,132,134,135,139,140,153,155,156,157,158,
159,161,162,163,164,165,167,168,169,176,177,178,179,181,182,183,184,188,201,
205,206,209,210,211,212,213,219,267,278,280,282,283,285,287,288,289,291,292,
293,294,296,297,298,299,301,302,303,304,322,325,329,330,331,332,335,344,346,
354,355,356,361,362,363,375,376,381,382,394,395,396,397,398,400,401,411,412,
413,414,415,416,446,447,448,449,450,451,452,454,457,461,462,464,468,476,482,
483,485,487,488,489,490,491,492,493,494,502,505,506,507,508,509,521,522,523,
524,526,527,528,529,530,532,536,537,538,560,561,562,563,564,591,592,594,595,
690,692,696,697,698,699,705,706,708,710,713,715,716,717,720,721,736,737,740,
748,749,751,752,760,761,799,800,801,802,803,804,805,806,808,809,810,839,841,
869,871,875,876,877,878,891,913,914,915,927,948,949,963,964,965,966,968,969,
972,973,988,990,1074,1075,1076,1077,1078,1079,1081,1082,1083,1085,1086,1088,
1104,1105,1106,1115,1117,1118,1119,1135,1136,1283,1300,1308,1309,1327,1382,
1397,1398,1401,1480,1512,1528,1529,1530,1531,1547,1548,1551,1552,1757],[1,2,3,
5,6,11,15,17,19,20,22,25,26,29,31,32,35,38,40,44,47,67,69,71,72,76,80,82,84,
85,88,89,90,91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,150,
151,156,158,164,169,176,178,181,185,187,200,205,207,212,215,275,277,279,281,
283,286,290,293,295,298,302,310,319,321,324,329,333,336,345,347,348,364,371,
374,378,417,419,421,433,436,447,450,453,456,460,463,467,470,474,475,484,490,
494,495,500,505,508,519,523,527,531,534,539,543,546,562,583,593,689,691,699,
700,703,705,707,709,712,714,718,719,738,744,754,788,791,793,813,815,832,836,
837,858,866,872,883,890,898,912,930,939,950,954,974,984,985,986,1058,1062,
1065,1067,1072,1110,1111,1113,1137,1275,1297,1307,1325,1381,1391,1395,1473,
1518,1523,1524,1561,1564,1758],[1,2,3,5,6,11,15,17,19,20,21,22,25,26,29,31,32,
35,38,40,44,47,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,
114,116,119,121,125,130,133,138,141,150,151,156,158,164,169,176,178,181,185,
187,200,203,205,207,212,216,266,275,277,279,281,283,286,290,293,295,298,302,
310,316,319,321,324,329,333,337,347,348,364,369,371,378,417,419,421,433,436,
447,450,453,456,460,463,467,470,474,475,484,490,494,495,497,500,501,505,508,
519,523,527,531,534,539,543,546,562,573,587,689,691,699,700,703,705,707,709,
712,714,718,719,727,738,742,744,746,754,762,788,791,793,811,816,832,837,855,
858,866,872,880,890,899,909,921,940,950,952,954,974,976,994,1059,1062,1065,
1067,1072,1107,1111,1113,1132,1276,1295,1297,1312,1323,1381,1383,1389,1395,
1474,1513,1521,1524,1559,1562,1759],[1,2,3,4,5,6,7,12,13,14,15,16,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,
67,68,70,72,73,74,75,77,78,79,80,81,83,84,85,86,87,92,93,94,95,96,97,99,100,
101,102,103,105,106,109,110,112,113,114,115,116,117,119,120,121,122,123,124,
125,126,127,128,129,131,132,134,135,136,137,138,139,140,141,142,143,152,153,
154,155,157,159,160,163,165,166,167,168,170,177,179,180,182,183,184,186,188,
189,190,191,192,200,201,202,203,204,206,208,211,213,214,217,218,266,276,278,
280,282,283,284,285,287,288,289,291,292,294,296,297,298,299,303,304,311,312,
316,317,318,320,322,323,325,330,334,335,338,349,350,351,365,370,372,373,379,
380,418,420,422,423,434,435,437,438,446,448,449,451,452,454,455,457,458,459,
461,462,464,465,466,468,469,471,472,473,476,477,482,483,489,491,492,493,495,
496,497,498,499,500,501,502,503,504,506,507,509,520,524,525,526,528,532,533,
535,536,537,538,540,541,542,544,545,547,563,564,565,569,570,571,572,574,575,
584,585,586,588,589,590,690,692,697,698,701,702,704,706,708,710,711,713,715,
716,717,720,721,727,728,729,739,740,743,745,747,755,763,789,790,792,794,812,
817,833,834,838,856,857,859,867,873,881,891,900,901,907,908,910,911,922,941,
942,943,951,953,955,975,977,995,1060,1061,1063,1064,1066,1068,1073,1108,1109,
1112,1114,1133,1277,1296,1298,1313,1324,1382,1384,1390,1396,1475,1514,1522,
1525,1560,1563,1760],[1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,31,32,34,
35,38,40,44,45,47,50,67,69,71,72,73,76,80,82,84,85,87,89,90,93,94,99,100,101,
104,108,111,114,116,119,121,125,130,131,133,134,136,137,138,139,142,144,147,
150,156,158,164,169,173,176,178,181,182,185,186,189,190,191,195,197,200,202,
205,212,218,268,276,277,279,281,283,286,290,293,295,298,302,305,308,311,314,
321,324,327,329,333,341,357,358,368,386,387,404,410,424,429,439,447,450,452,
453,456,458,460,463,466,467,469,471,474,480,484,485,490,494,498,500,505,508,
510,512,513,518,523,527,531,534,539,541,542,545,548,551,555,556,562,568,572,
581,582,589,590,689,691,699,702,705,707,709,712,714,718,719,722,725,732,733,
738,756,780,783,796,821,822,826,842,848,850,861,884,890,904,908,917,918,928,
931,934,958,959,982,996,1069,1092,1094,1099,1124,1128,1130,1280,1289,1302,
1330,1381,1392,1402,1481,1519,1533,1565,1761],[1,2,3,4,5,6,7,12,13,14,15,16,
17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,
45,49,51,52,67,70,72,73,74,75,77,78,79,80,81,83,84,85,86,87,88,91,92,93,94,95,
96,97,98,99,100,101,102,103,105,106,109,110,112,113,114,115,116,119,120,121,
122,123,124,126,128,129,130,131,132,133,134,135,136,137,139,140,141,142,145,
146,148,149,153,155,157,159,163,165,167,168,171,172,174,175,177,179,182,183,
184,186,187,188,189,190,191,192,193,194,196,198,199,200,201,202,206,211,213,
217,218,270,275,276,278,280,282,283,285,287,288,289,291,292,294,296,297,298,
299,303,304,307,309,310,311,313,315,322,325,326,328,330,335,342,359,360,366,
367,384,385,388,389,406,408,409,425,426,427,428,440,441,446,448,451,452,454,
455,456,457,458,461,462,464,465,468,469,470,471,472,476,478,479,481,482,483,
488,489,491,492,493,495,498,502,506,507,509,511,512,514,515,516,517,524,526,
528,532,536,537,538,541,542,543,544,549,550,551,552,553,554,557,558,559,563,
564,567,568,569,571,576,578,580,582,584,586,588,589,690,692,697,698,700,702,
706,708,710,713,715,716,717,720,721,724,726,730,731,734,735,740,757,758,781,
782,784,785,795,797,819,820,823,827,828,843,849,851,860,862,885,886,891,902,
903,911,916,917,920,929,932,935,936,956,957,960,961,983,997,1070,1071,1093,
1095,1096,1097,1098,1125,1126,1127,1129,1131,1281,1290,1303,1304,1331,1382,
1393,1394,1403,1482,1520,1534,1535,1566,1567,1762],[1,2,3,4,5,6,7,11,15,16,19,
20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,47,49,67,69,70,71,72,73,
74,76,80,82,84,85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,
124,125,126,128,129,130,131,132,133,134,135,138,139,140,150,153,156,157,158,
162,163,164,167,169,176,177,178,181,182,183,184,185,188,189,192,200,201,205,
209,212,213,217,267,268,277,278,279,281,283,286,290,293,295,298,300,301,302,
303,305,306,321,322,324,329,331,333,339,354,355,356,361,376,381,393,395,397,
399,401,403,413,414,416,446,447,448,449,450,452,453,454,456,457,460,461,462,
463,464,467,471,473,474,482,484,485,486,487,488,489,490,494,500,502,505,508,
522,523,527,528,529,531,534,538,539,548,552,560,562,569,574,575,576,579,580,
689,691,695,696,699,705,707,709,710,712,714,716,718,719,722,723,736,738,749,
752,766,769,772,775,777,798,803,805,807,810,841,844,852,868,870,876,890,901,
902,905,925,944,945,946,963,966,973,978,980,993,1074,1081,1085,1086,1088,1089,
1090,1117,1119,1121,1123,1139,1278,1284,1286,1299,1328,1381,1385,1387,1397,
1478,1517,1527,1530,1555,1558,1763],[1,2,3,4,5,6,7,12,13,14,15,16,19,20,22,23,
24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,67,69,70,
71,72,73,74,75,77,78,79,80,81,83,84,85,86,92,93,95,96,97,100,101,102,103,105,
106,107,109,110,111,112,113,114,115,116,119,120,121,122,123,124,125,126,128,
129,130,131,132,133,134,135,138,139,140,150,153,155,156,157,159,161,162,163,
164,165,167,168,169,176,177,179,181,182,183,184,185,188,189,192,200,201,206,
210,211,212,213,217,267,268,277,278,280,282,283,285,287,288,289,291,292,294,
296,297,298,299,300,301,302,303,304,305,306,321,322,325,330,332,335,339,352,
353,354,355,356,362,363,375,377,382,383,393,395,398,399,400,401,402,403,411,
412,414,415,416,446,447,448,449,451,452,453,454,456,457,460,461,462,463,464,
468,471,473,476,482,483,484,485,486,487,488,489,490,491,492,493,500,502,506,
507,509,521,522,524,526,527,528,530,532,536,537,538,539,548,552,561,563,564,
569,574,575,576,579,580,690,692,695,696,697,698,706,708,709,710,713,715,716,
717,718,720,721,722,723,737,740,748,750,751,753,764,765,769,770,771,773,774,
776,777,799,800,804,805,806,807,808,809,840,841,845,853,854,869,871,874,875,
891,901,902,905,923,924,944,945,946,962,964,965,967,971,972,979,981,991,992,
1075,1076,1080,1082,1083,1084,1086,1087,1088,1089,1090,1091,1115,1116,1118,
1120,1121,1122,1123,1138,1140,1278,1285,1287,1288,1300,1329,1382,1386,1388,
1398,1399,1476,1477,1515,1516,1526,1527,1531,1532,1553,1554,1556,1557,1764],[
1,2,4,5,11,16,19,22,25,28,35,38,44,45,47,49,69,71,73,76,82,93,101,104,108,111,
131,134,139,176,177,178,181,182,185,189,200,205,209,212,268,277,279,281,293,
295,302,305,321,324,329,331,333,369,371,374,376,378,393,397,413,417,419,444,
445,452,471,485,548,689,722,749,766,844,868,872,880,882,883,889,890,1003,1018,
1270,1284,1370,1378,1484,1765],[1,2,5,7,11,19,22,24,25,35,36,38,43,44,47,49,
50,69,70,71,76,82,101,104,107,108,111,124,128,157,162,163,176,177,178,181,183,
185,195,200,205,209,212,267,277,279,281,293,295,300,302,308,321,324,329,331,
333,369,371,374,378,386,393,399,404,413,416,417,419,448,486,522,528,529,560,
689,695,736,798,807,810,848,868,870,872,880,882,883,890,1008,1021,1268,1299,
1375,1378,1483,1766],[1,2,3,5,6,11,15,19,20,21,22,25,26,29,31,32,38,40,44,47,
51,67,68,72,76,80,84,85,89,90,100,101,114,116,119,121,125,138,141,176,178,181,
185,194,198,200,203,205,212,266,279,283,286,290,298,302,313,316,321,324,329,
333,375,378,382,384,394,400,402,405,412,421,425,442,495,497,500,501,691,727,
742,788,846,853,855,860,875,877,887,890,1017,1028,1264,1295,1366,1379,1492,
1767],[1,2,3,5,6,12,13,14,15,19,20,21,22,23,25,26,27,29,30,31,32,38,39,40,43,
44,45,46,49,50,52,67,68,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,
114,115,116,119,120,121,122,123,125,127,138,141,143,177,179,182,183,188,193,
195,196,197,200,201,203,204,206,211,213,266,280,283,285,287,288,289,291,292,
297,298,299,303,304,314,315,316,318,322,325,330,335,376,377,379,380,381,383,
385,386,396,399,401,403,407,411,413,422,423,424,426,443,495,497,499,500,501,
504,692,727,728,743,789,790,847,852,854,856,857,861,862,874,876,878,879,888,
891,1015,1016,1029,1030,1265,1296,1365,1367,1380,1490,1491,1768],[1,2,3,5,6,
11,15,17,19,20,22,25,26,29,31,32,38,40,44,46,47,67,72,76,80,84,85,88,89,90,91,
100,101,114,116,119,121,130,133,141,150,151,158,176,178,181,185,187,200,204,
205,207,212,275,279,283,286,290,298,302,310,318,319,321,324,329,333,371,375,
379,382,394,400,402,412,417,422,433,436,456,470,475,495,519,531,543,546,691,
700,703,744,791,832,846,853,856,858,866,875,877,890,1004,1041,1262,1297,1335,
1379,1497,1769],[1,2,3,4,5,6,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,
31,32,34,38,39,40,43,44,45,46,48,49,67,72,75,77,78,80,81,84,85,86,87,92,93,94,
95,96,97,99,100,101,102,114,115,116,119,120,121,122,123,131,136,139,142,152,
154,160,177,179,180,182,183,186,188,189,200,201,202,203,204,206,208,211,213,
276,280,283,285,287,288,289,291,292,297,298,299,303,304,311,316,318,320,322,
325,330,335,373,376,377,378,379,380,381,383,396,399,401,403,411,413,418,421,
422,423,434,437,458,469,471,477,498,520,533,541,542,547,692,702,704,745,792,
833,847,852,854,855,856,857,859,867,874,876,878,879,891,1002,1003,1039,1040,
1263,1298,1336,1337,1380,1498,1499,1770],[1,2,3,5,6,11,15,17,19,20,22,25,26,
29,31,32,38,40,44,47,51,67,72,76,80,84,85,88,89,90,91,100,101,114,116,119,121,
130,133,141,150,151,158,176,178,181,185,187,194,198,200,205,207,212,275,279,
283,286,290,298,302,310,313,319,321,324,329,333,371,375,382,384,394,400,402,
405,412,417,425,433,436,442,456,470,475,495,519,531,543,546,691,700,703,744,
791,832,846,853,858,860,866,875,877,887,890,1013,1050,1264,1297,1351,1379,
1493,1771],[1,2,4,5,11,16,19,22,25,28,35,38,44,45,47,50,69,71,73,76,82,93,101,
104,108,111,131,134,139,144,173,176,178,181,182,185,189,195,200,205,212,268,
277,279,281,293,295,302,305,308,321,324,329,333,369,371,374,376,378,386,387,
397,404,410,417,419,452,471,480,485,548,555,689,722,725,756,780,783,844,848,
850,872,880,882,883,890,1026,1031,1039,1047,1269,1289,1338,1346,1378,1488,
1489,1772],[1,2,3,4,5,6,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,
34,38,39,40,43,45,47,49,51,52,67,72,75,77,78,80,81,84,85,86,87,92,93,94,95,96,
97,99,100,101,102,114,115,116,119,120,121,122,123,131,136,139,142,145,148,172,
177,178,179,182,183,186,188,189,193,194,196,198,201,202,206,207,211,213,276,
280,283,285,287,288,289,291,292,297,298,299,303,304,311,313,315,319,322,325,
330,335,376,377,381,383,384,385,392,396,399,401,403,409,411,413,417,425,426,
430,433,441,458,469,471,498,515,517,541,542,554,557,692,702,735,781,819,828,
847,852,854,860,862,864,866,874,876,878,879,886,891,1006,1018,1026,1043,1272,
1304,1340,1364,1380,1487,1495,1773],[1,2,3,5,6,12,13,14,15,17,19,20,22,23,25,
26,27,29,30,31,32,38,39,40,43,44,45,48,49,50,51,67,72,75,77,78,80,81,84,85,86,
88,91,92,95,96,97,100,101,102,114,115,116,119,120,121,122,123,130,133,141,146,
149,171,177,179,180,182,183,187,188,194,195,197,198,200,201,206,208,211,213,
275,280,283,285,287,288,289,291,292,297,298,299,303,304,310,313,314,320,322,
325,330,335,376,377,381,383,384,386,390,396,399,401,403,408,411,413,418,424,
425,432,434,440,456,470,495,514,516,543,553,558,692,700,734,782,820,827,847,
852,854,860,861,863,867,874,876,878,879,885,891,1005,1020,1025,1042,1273,1303,
1341,1363,1380,1485,1494,1774],[1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,
31,32,34,38,40,44,45,47,48,50,52,67,72,76,80,84,85,87,89,90,93,94,99,100,101,
114,116,119,121,131,136,139,142,144,147,173,176,178,180,181,185,186,189,193,
195,196,197,200,202,205,208,212,276,279,283,286,290,298,302,311,314,315,320,
321,324,329,333,375,382,385,386,391,394,400,402,410,412,418,424,426,431,434,
439,458,469,471,498,513,518,541,542,555,556,691,702,733,780,821,826,846,853,
861,862,865,867,875,877,884,890,1007,1019,1027,1044,1274,1302,1342,1362,1379,
1486,1496,1775],[1,2,5,7,11,19,22,24,25,35,36,38,43,44,47,49,69,70,71,76,82,
101,104,107,108,111,124,128,157,162,163,176,177,178,181,183,185,200,205,209,
212,267,277,279,281,293,295,300,302,321,324,329,331,333,369,371,374,378,393,
399,413,416,417,419,444,445,448,486,522,528,529,560,689,695,736,798,807,810,
868,870,872,880,882,883,889,890,1053,1055,1270,1299,1369,1378,1500,1776],[1,2,
3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,49,50,67,69,71,72,76,80,82,
84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,
164,169,176,177,178,181,185,195,200,205,209,212,277,279,281,283,286,290,293,
295,298,302,308,321,324,329,331,333,386,393,404,413,444,445,447,450,453,456,
460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,689,691,699,
705,707,709,712,714,718,719,738,848,868,889,890,1005,1014,1016,1268,1270,1372,
1374,1381,1777],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,48,52,
67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,
133,138,150,156,158,164,169,176,178,180,181,185,193,196,200,205,208,212,277,
279,281,283,286,290,293,295,298,302,315,320,321,324,329,333,385,391,418,426,
431,434,447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,
534,539,562,689,691,699,705,707,709,712,714,718,719,738,862,865,867,890,1023,
1033,1034,1056,1274,1352,1354,1360,1381,1778],[1,2,3,4,5,6,7,12,13,14,15,19,
20,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,45,47,48,49,50,
51,67,70,72,73,74,75,77,78,79,80,81,83,84,85,86,92,95,96,97,100,101,102,103,
105,106,109,110,112,113,114,115,116,119,120,121,122,123,124,126,128,129,134,
135,139,140,153,155,157,159,163,165,167,168,177,178,179,180,182,183,188,194,
195,197,198,201,206,207,208,211,213,278,280,282,283,285,287,288,289,291,292,
294,296,297,298,299,303,304,313,314,319,320,322,325,330,335,384,386,390,392,
417,418,424,425,430,432,433,434,446,448,451,452,454,457,461,462,464,468,476,
482,483,489,491,492,493,502,506,507,509,524,526,528,532,536,537,538,563,564,
690,692,697,698,706,708,710,713,715,716,717,720,721,740,860,861,863,864,866,
867,891,1021,1022,1031,1032,1035,1057,1272,1273,1353,1355,1359,1361,1382,
1779],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,45,47,50,67,69,71,
72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,
150,156,158,164,169,176,178,181,182,185,189,195,200,205,212,277,279,281,283,
286,290,293,295,298,302,305,308,321,324,329,333,376,386,387,397,404,410,447,
450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,
689,691,699,705,707,709,712,714,718,719,738,844,848,850,890,1012,1029,1042,
1046,1269,1332,1333,1348,1381,1780],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,
35,38,40,44,47,51,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,
116,119,121,125,130,133,138,150,156,158,164,169,176,178,181,185,194,198,200,
205,212,277,279,281,283,286,290,293,295,298,302,313,321,324,329,333,384,405,
425,442,447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,
534,539,562,689,691,699,705,707,709,712,714,718,719,738,860,887,890,1011,1045,
1051,1264,1334,1350,1381,1781],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,
40,44,46,47,51,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,
119,121,125,130,133,138,150,156,158,164,169,176,178,181,185,194,198,200,204,
205,212,277,279,281,283,286,290,293,295,298,302,313,318,321,324,329,333,379,
384,405,422,425,442,447,450,453,456,460,463,467,474,484,490,494,500,505,508,
523,527,531,534,539,562,689,691,699,705,707,709,712,714,718,719,738,856,860,
887,890,1010,1037,1049,1262,1264,1345,1357,1381,1782],[1,2,3,4,5,6,7,12,13,14,
15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,
49,50,52,67,70,72,73,74,75,77,78,79,80,81,83,84,85,86,92,95,96,97,100,101,102,
103,105,106,109,110,112,113,114,115,116,119,120,121,122,123,124,126,128,129,
134,135,139,140,153,155,157,159,163,165,167,168,177,179,182,183,188,193,195,
196,197,200,201,203,204,206,211,213,278,280,282,283,285,287,288,289,291,292,
294,296,297,298,299,303,304,314,315,316,318,322,325,330,335,378,379,380,385,
386,407,421,422,423,424,426,443,446,448,451,452,454,457,461,462,464,468,476,
482,483,489,491,492,493,502,506,507,509,524,526,528,532,536,537,538,563,564,
690,692,697,698,706,708,710,713,715,716,717,720,721,740,855,856,857,861,862,
888,891,1008,1009,1036,1038,1047,1048,1263,1265,1343,1344,1356,1358,1382,
1783],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,49,67,69,71,72,
76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,
156,158,164,169,176,177,178,181,185,200,205,209,212,277,279,281,283,286,290,
293,295,298,302,321,324,329,331,333,393,413,444,445,447,450,453,456,460,463,
467,474,484,490,494,500,505,508,523,527,531,534,539,562,689,691,699,705,707,
709,712,714,718,719,738,868,889,890,1024,1052,1054,1270,1368,1377,1381,1784],[
1,2,3,5,6,17,19,20,22,25,26,29,31,35,38,40,43,44,47,48,49,67,69,82,84,85,88,
91,100,101,104,108,116,130,133,141,156,164,169,176,177,178,180,183,187,200,
203,205,208,209,211,275,283,293,300,304,310,316,320,329,331,346,348,352,363,
369,377,378,399,411,416,418,421,434,436,456,470,495,505,508,523,527,534,543,
700,705,746,793,855,867,870,874,926,950,952,1020,1025,1056,1059,1106,1120,
1326,1352,1363,1389,1499,1785],[1,2,3,4,5,6,7,16,18,19,20,22,24,25,26,28,29,
31,34,36,37,38,40,42,44,45,46,47,48,49,67,70,83,84,85,87,93,94,99,100,101,105,
110,116,131,136,139,142,155,157,163,165,170,176,177,178,179,180,181,182,184,
186,189,202,204,206,207,208,210,212,213,276,283,294,301,302,303,311,318,319,
320,330,332,346,349,355,361,362,370,375,376,379,400,401,412,413,414,415,417,
418,422,433,434,438,458,469,471,498,506,507,509,524,526,528,535,541,542,702,
706,747,794,856,866,867,871,875,876,927,951,953,1018,1019,1026,1027,1057,1061,
1104,1105,1118,1119,1327,1353,1362,1364,1390,1497,1498,1786],[1,2,3,5,6,19,20,
21,22,25,26,29,31,35,38,40,43,44,47,49,52,67,68,69,82,84,85,100,101,104,108,
116,125,138,141,156,164,176,177,178,183,193,196,200,203,205,207,209,211,266,
283,293,300,304,315,316,319,329,331,346,352,363,364,377,385,399,411,416,417,
419,426,433,495,497,500,501,505,508,523,527,705,727,762,816,862,866,870,874,
926,974,976,1015,1030,1034,1072,1106,1120,1326,1354,1367,1383,1495,1787],[1,2,
3,5,6,7,19,20,21,22,24,25,26,29,31,36,37,38,40,42,44,45,47,48,49,50,51,67,68,
70,83,84,85,100,101,105,110,116,125,138,141,155,157,163,165,166,176,177,179,
180,181,182,184,194,195,197,198,200,203,206,208,210,212,213,266,283,294,301,
302,303,313,314,316,320,330,332,346,355,361,362,365,375,376,384,386,400,401,
412,413,414,415,418,420,424,425,434,435,495,497,500,501,506,507,509,524,525,
526,528,706,727,763,817,860,861,867,871,875,876,927,975,977,1016,1017,1028,
1029,1035,1073,1104,1105,1118,1119,1327,1355,1365,1366,1384,1494,1496,1788],[
1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,37,38,40,41,42,43,44,45,46,47,
48,49,50,67,70,73,74,83,84,85,100,101,103,105,110,112,116,124,126,128,129,132,
134,135,139,140,155,157,161,163,165,176,177,178,179,180,181,182,183,188,195,
197,201,204,206,207,208,212,214,278,283,294,302,314,318,319,320,322,330,334,
350,351,354,363,372,375,379,386,395,398,400,412,414,415,417,418,422,424,433,
434,446,448,452,454,457,462,464,487,502,506,507,509,521,524,526,528,706,710,
748,806,809,856,861,866,867,873,875,922,964,965,972,1021,1031,1036,1057,1076,
1086,1108,1112,1324,1353,1356,1361,1398,1496,1497,1789],[1,2,3,4,5,6,7,19,20,
22,24,25,26,28,29,31,33,35,36,38,40,41,43,45,46,47,48,49,51,67,69,70,73,74,82,
84,85,100,101,103,104,108,112,116,124,126,128,129,131,134,135,139,140,156,162,
164,176,177,178,180,182,183,188,194,198,201,204,205,208,213,214,278,283,293,
303,313,318,320,322,329,334,350,351,356,361,372,376,379,384,395,397,401,413,
414,416,418,422,425,434,446,448,452,454,457,462,464,485,502,505,508,522,523,
527,705,710,749,805,810,856,860,867,873,876,922,963,966,973,1022,1032,1037,
1056,1074,1088,1108,1112,1324,1352,1357,1359,1397,1494,1498,1790],[1,2,3,5,6,
7,19,20,22,24,25,26,29,31,35,36,37,38,40,42,43,44,47,48,49,52,67,69,70,71,83,
84,85,100,101,105,110,111,116,125,128,130,133,138,155,157,162,163,165,177,178,
179,180,181,183,185,193,196,200,203,206,207,208,211,212,277,283,294,304,315,
316,319,320,321,330,333,347,348,353,362,371,377,378,385,393,398,399,411,415,
416,417,418,421,426,433,434,447,453,456,463,486,500,506,507,509,522,524,526,
528,706,709,750,807,808,855,862,866,867,872,874,921,962,967,971,1023,1033,
1038,1057,1075,1087,1107,1111,1323,1353,1358,1360,1399,1495,1499,1791],[1,2,3,
4,5,15,16,19,22,25,26,28,29,32,35,38,44,45,47,49,69,71,72,73,84,89,93,101,111,
119,131,134,139,150,153,158,176,177,178,182,187,189,200,205,207,209,212,268,
277,286,305,310,319,329,331,333,345,347,361,364,371,376,378,381,393,395,397,
413,417,436,450,452,460,461,471,474,485,531,548,707,722,769,772,844,858,868,
872,930,966,980,1012,1026,1039,1081,1110,1113,1325,1333,1338,1385,1484,1792],[
1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,44,45,47,50,69,70,71,72,84,89,
101,107,111,119,124,128,150,158,167,176,178,182,183,187,189,195,200,205,207,
212,267,277,286,300,305,308,310,319,329,333,345,347,356,364,371,376,378,386,
397,403,404,414,417,436,448,450,460,474,486,489,531,695,707,775,803,844,848,
858,872,930,963,978,1008,1021,1046,1090,1110,1113,1325,1332,1375,1387,1489,
1793],[1,2,3,4,5,6,7,16,18,19,20,22,24,25,26,28,29,31,34,36,37,38,40,42,44,45,
47,49,51,52,67,70,83,84,85,87,93,94,99,100,101,105,110,116,131,136,139,142,
155,157,163,165,175,176,177,179,181,182,184,186,189,193,194,196,198,200,202,
203,206,210,212,213,276,283,294,301,302,303,311,313,315,316,330,332,346,355,
361,362,366,375,376,378,384,385,389,400,401,412,413,414,415,421,425,426,427,
458,469,471,478,498,506,507,509,524,526,528,541,542,702,706,757,795,855,860,
862,871,875,876,927,957,960,1003,1007,1038,1039,1044,1071,1104,1105,1118,1119,
1327,1336,1342,1358,1394,1487,1492,1794],[1,2,3,5,6,7,17,19,20,22,24,25,26,29,
31,36,37,38,40,42,44,45,46,47,49,50,52,67,70,83,84,85,88,91,100,101,105,110,
116,130,133,141,155,157,163,165,174,176,177,179,181,182,184,187,193,195,196,
197,200,204,206,210,212,213,275,283,294,301,302,303,310,314,315,318,330,332,
346,355,361,362,367,375,376,379,385,386,388,400,401,412,413,414,415,422,424,
426,428,456,470,479,495,506,507,509,524,526,528,543,700,706,758,797,856,861,
862,871,875,876,927,956,961,1004,1005,1036,1041,1042,1070,1104,1105,1118,1119,
1327,1335,1341,1356,1393,1486,1490,1795],[1,2,3,4,5,6,16,18,19,20,22,25,26,28,
29,31,34,35,38,40,43,45,46,47,49,50,51,67,69,82,84,85,87,93,94,99,100,101,104,
108,116,131,136,139,142,156,164,173,176,177,178,183,186,189,194,195,197,198,
202,204,205,209,211,276,283,293,300,304,311,313,314,318,329,331,346,352,363,
368,377,379,384,386,387,399,411,416,422,424,425,429,458,469,471,480,498,505,
508,523,527,541,542,702,705,756,796,856,860,861,870,874,926,958,959,1002,1006,
1037,1040,1043,1069,1106,1120,1326,1337,1340,1357,1392,1485,1491,1796],[1,2,3,
5,6,15,19,20,22,25,26,29,31,32,35,38,40,44,45,47,49,50,67,69,71,72,84,85,89,
100,101,111,116,119,125,130,133,138,141,150,151,158,176,177,178,181,182,185,
189,195,200,205,209,212,213,277,283,286,303,305,308,321,329,331,333,348,354,
355,364,371,376,378,386,393,397,401,404,413,417,421,433,436,447,450,453,456,
460,463,474,495,500,519,531,707,709,788,791,832,844,848,868,872,876,925,950,
954,974,1012,1014,1029,1042,1062,1065,1117,1121,1328,1333,1348,1374,1395,1484,
1489,1797],[1,2,3,4,5,15,16,19,22,25,26,28,29,32,35,38,44,45,47,49,50,69,71,
72,73,84,89,93,101,111,119,131,134,139,147,150,158,176,177,178,182,187,189,
195,200,205,207,209,212,268,277,286,305,308,310,319,329,331,333,345,347,364,
368,371,378,386,393,404,413,417,429,436,439,450,452,460,471,474,485,513,531,
548,707,722,821,822,848,858,868,872,930,959,982,1003,1014,1018,1031,1047,1094,
1110,1113,1325,1346,1370,1374,1402,1483,1488,1798],[1,2,3,5,6,15,19,20,22,25,
26,29,31,32,35,38,40,44,47,49,50,67,69,71,72,84,85,89,100,101,111,116,119,125,
130,133,138,141,150,151,158,176,177,178,181,185,195,197,200,205,209,212,277,
283,286,308,314,321,329,331,333,348,357,358,364,371,378,386,393,404,413,417,
421,424,433,436,447,450,453,456,460,463,474,495,500,519,531,707,709,788,791,
832,848,861,868,872,928,950,954,974,1005,1014,1016,1046,1062,1065,1124,1330,
1332,1372,1374,1395,1483,1488,1799],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,29,31,
33,36,37,38,40,41,42,43,44,45,47,49,50,51,52,67,70,73,74,83,84,85,100,101,103,
105,110,112,116,124,126,128,129,132,134,135,139,140,155,157,161,163,165,176,
177,179,181,182,183,188,193,194,195,196,197,198,199,200,201,203,206,212,278,
283,294,302,309,313,314,315,316,322,330,354,359,360,363,375,378,384,385,386,
395,398,400,406,412,414,415,421,424,425,426,446,448,452,454,457,462,464,487,
502,506,507,509,521,524,526,528,706,710,748,806,809,849,855,860,861,862,875,
929,964,965,972,1008,1035,1038,1047,1076,1086,1125,1126,1331,1344,1355,1358,
1398,1486,1492,1800],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,35,36,37,38,40,42,
43,44,46,49,50,51,67,69,70,71,83,84,85,100,101,105,110,111,116,125,128,130,
133,138,155,157,162,163,165,177,179,181,183,185,194,195,197,198,200,204,206,
211,277,283,294,304,308,313,314,318,321,330,353,357,358,362,377,379,384,386,
393,398,399,404,411,415,416,422,424,425,447,453,456,463,486,500,506,507,509,
522,524,526,528,706,709,750,807,808,848,856,860,861,874,928,962,967,971,1010,
1035,1036,1049,1075,1087,1124,1330,1345,1355,1356,1399,1485,1491,1801],[1,2,3,
4,5,6,7,19,20,22,24,25,26,28,29,31,33,35,36,38,40,41,43,45,46,47,49,51,52,67,
69,70,73,74,82,84,85,100,101,103,104,108,112,116,124,126,128,129,131,134,135,
139,140,156,162,164,176,177,178,182,183,188,193,194,196,198,199,201,204,205,
213,278,283,293,303,309,313,315,318,322,329,356,359,360,361,376,379,384,385,
395,397,401,406,413,414,416,422,425,426,446,448,452,454,457,462,464,485,502,
505,508,522,523,527,705,710,749,805,810,849,856,860,862,876,929,963,966,973,
1009,1034,1037,1048,1074,1088,1125,1126,1331,1343,1354,1357,1397,1487,1490,
1802],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,67,69,71,72,76,
80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,
158,164,169,176,178,181,185,200,205,212,220,277,279,281,283,286,290,293,295,
298,302,321,324,329,333,447,450,453,456,460,463,467,474,484,490,494,500,505,
508,523,527,531,534,539,562,596,597,598,689,691,699,705,707,709,712,714,718,
719,738,890,1100,1101,1102,1103,1141,1150,1381,1536,1537,1538,1803],[1,2,3,4,
5,6,7,16,19,20,22,24,25,26,28,29,31,33,35,36,38,40,41,43,44,45,47,50,67,69,70,
71,73,74,84,85,93,100,101,103,107,111,112,116,124,125,126,128,129,130,131,132,
133,134,135,138,139,140,178,181,182,183,184,185,188,189,192,195,197,200,201,
203,207,212,217,267,268,277,278,283,300,301,305,306,308,314,316,319,321,322,
333,339,347,348,357,358,371,378,386,404,417,421,424,433,446,447,448,449,452,
453,454,456,457,462,463,464,471,473,485,486,487,488,500,502,548,552,569,574,
575,576,579,580,695,696,709,710,722,723,848,855,861,866,872,901,902,905,921,
928,944,945,946,1008,1021,1031,1047,1107,1111,1124,1278,1323,1330,1344,1346,
1361,1375,1585,1804],[1,2,3,4,5,6,7,16,19,20,22,24,25,26,28,29,31,33,35,36,38,
40,41,43,44,45,46,48,51,52,67,69,70,71,73,74,84,85,93,100,101,103,107,111,112,
116,124,125,126,128,129,130,131,132,133,134,135,138,139,140,180,181,182,183,
184,185,188,189,192,193,194,196,198,199,200,201,204,208,214,217,267,268,277,
278,283,300,301,305,306,309,313,315,318,320,321,322,334,339,350,351,359,360,
372,379,384,385,406,418,422,425,426,434,446,447,448,449,452,453,454,456,457,
462,463,464,471,473,485,486,487,488,500,502,548,552,569,574,575,576,579,580,
695,696,709,710,722,723,849,856,860,862,867,873,901,902,905,922,929,944,945,
946,1009,1010,1022,1023,1032,1033,1048,1049,1108,1112,1125,1126,1278,1324,
1331,1343,1345,1347,1359,1360,1376,1583,1584,1805],[1,2,3,5,6,17,19,20,21,22,
25,26,29,31,35,38,40,44,45,49,50,67,68,69,71,84,85,88,91,100,101,111,116,125,
130,133,138,141,177,181,182,185,187,189,195,197,200,203,209,213,216,266,275,
277,283,303,305,308,310,314,316,321,331,337,354,355,357,358,376,386,393,397,
401,404,413,424,447,453,456,463,470,495,497,500,501,543,573,587,700,709,727,
844,848,861,868,876,899,909,925,928,940,1005,1016,1029,1042,1117,1121,1124,
1276,1328,1330,1341,1348,1365,1372,1580,1806],[1,2,3,4,5,6,7,16,18,19,20,21,
22,24,25,26,28,29,31,33,34,36,38,40,41,43,44,45,47,49,51,52,67,68,70,73,74,84,
85,87,93,94,99,100,101,103,112,116,117,124,125,126,128,129,131,132,134,135,
136,137,138,139,140,141,142,176,177,181,182,183,184,186,188,189,190,191,192,
193,194,196,198,199,200,201,202,203,210,211,212,217,218,266,276,278,283,284,
302,304,306,309,311,312,313,315,316,317,322,323,332,338,352,353,355,356,359,
360,375,377,384,385,395,398,399,400,406,411,412,425,426,446,448,449,452,454,
455,457,458,459,462,464,465,466,469,471,472,473,495,496,497,498,500,501,502,
503,541,542,544,545,569,570,571,572,574,575,584,585,586,588,589,590,701,702,
710,711,727,729,845,849,860,862,869,874,875,900,901,907,908,910,911,923,924,
929,941,942,943,1006,1007,1015,1017,1028,1030,1043,1044,1115,1116,1122,1123,
1125,1126,1277,1329,1331,1340,1342,1349,1366,1367,1373,1581,1582,1807],[1,2,3,
4,5,6,16,18,19,20,22,25,26,28,29,31,34,35,38,40,44,45,47,49,67,69,71,73,84,85,
87,93,94,99,100,101,111,116,125,130,131,133,134,136,137,138,139,142,177,178,
181,182,185,186,189,190,191,200,202,203,207,209,212,213,218,268,276,277,283,
303,305,311,316,319,321,327,331,333,341,347,348,354,355,371,376,378,393,397,
401,413,417,421,433,447,452,453,456,458,463,466,469,471,485,498,500,510,512,
541,542,545,548,551,568,572,581,582,589,590,702,709,722,732,844,855,866,868,
872,876,904,908,917,918,921,925,931,934,1003,1018,1026,1039,1107,1111,1117,
1121,1280,1323,1328,1336,1338,1364,1370,1586,1808],[1,2,3,4,5,6,7,16,17,18,19,
20,22,24,25,26,28,29,31,33,34,36,38,40,41,43,44,45,46,47,48,49,67,70,73,74,84,
85,87,88,91,93,94,98,99,100,101,103,112,116,124,126,128,129,130,131,132,133,
134,135,136,137,139,140,141,142,176,177,180,181,182,183,184,186,187,188,189,
190,191,192,200,201,202,204,208,210,211,212,214,217,218,270,275,276,278,283,
302,304,306,307,310,311,318,320,322,326,328,332,334,342,350,351,352,353,355,
356,372,375,377,379,395,398,399,400,411,412,418,422,434,446,448,452,454,455,
456,457,458,462,464,465,469,470,471,472,488,495,498,502,511,512,541,542,543,
544,549,550,551,552,567,568,569,571,576,578,580,582,584,586,588,589,700,702,
710,724,730,731,845,856,867,869,873,874,875,902,903,911,916,917,920,922,923,
924,932,935,936,1002,1004,1019,1020,1025,1027,1040,1041,1108,1112,1115,1116,
1122,1123,1281,1324,1329,1335,1337,1339,1362,1363,1371,1587,1588,1809],[1,2,3,
5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,67,69,71,72,76,80,82,84,85,
89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,
176,178,181,185,200,205,212,277,279,281,283,286,290,293,295,298,302,321,324,
329,333,369,371,374,375,378,382,394,400,402,412,417,419,447,450,453,456,460,
463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,689,691,699,705,
707,709,712,714,718,719,738,846,853,872,875,877,880,882,883,890,998,1315,1378,
1379,1381,1810],[1,2,3,5,6,11,19,20,22,25,26,29,31,35,38,40,44,45,47,49,50,67,
69,71,76,82,84,85,100,101,104,108,111,116,125,130,133,138,150,158,164,169,177,
178,181,182,185,189,195,200,209,212,213,277,279,281,283,293,295,303,305,308,
321,331,333,354,355,369,371,376,378,386,387,393,397,401,404,410,413,417,419,
444,445,447,453,456,463,500,523,531,534,539,562,689,709,738,742,744,746,754,
811,816,844,848,850,868,872,876,880,889,925,1005,1016,1117,1121,1269,1270,
1312,1328,1372,1483,1484,1811],[1,2,3,4,5,6,7,12,13,14,15,19,20,22,23,24,25,
26,27,28,29,30,31,32,33,36,38,39,40,41,43,45,47,49,50,51,52,67,70,72,73,74,75,
77,78,80,81,84,85,86,92,95,96,97,100,101,102,103,112,114,115,116,119,120,121,
122,123,124,126,128,129,134,135,139,140,153,155,165,168,177,178,182,183,188,
193,194,195,196,197,198,199,201,207,211,278,280,283,285,287,288,289,291,292,
297,298,299,304,309,313,314,315,319,322,359,360,377,383,384,385,386,392,399,
401,403,406,407,411,417,424,425,426,430,433,443,446,448,452,454,457,461,462,
464,483,491,502,526,537,692,710,717,753,765,770,773,777,800,849,854,860,861,
862,864,866,874,888,929,1021,1031,1125,1126,1265,1272,1288,1331,1361,1485,
1495,1812],[1,2,3,5,6,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,
40,44,47,48,50,52,67,69,71,72,75,77,78,80,81,84,85,86,92,95,96,97,100,101,102,
111,114,115,116,119,120,121,122,123,125,130,133,138,150,156,164,169,176,180,
181,185,193,195,196,197,200,208,212,277,280,283,285,287,288,289,291,292,297,
298,299,302,308,314,315,320,321,357,358,375,382,385,386,390,400,402,404,407,
412,418,424,426,432,434,443,447,453,456,460,463,484,490,500,527,539,692,709,
718,751,764,771,774,776,799,848,853,861,862,863,867,875,888,928,1023,1033,
1124,1265,1273,1287,1330,1360,1486,1496,1813],[1,2,3,4,5,6,7,11,15,19,20,22,
24,25,26,28,29,31,32,33,36,38,40,41,43,45,48,49,51,52,67,70,72,73,74,76,80,84,
85,89,90,100,101,103,112,114,116,119,121,124,126,128,129,134,135,139,140,153,
157,163,167,177,180,182,183,188,193,194,196,198,199,201,208,213,278,279,283,
286,290,298,303,309,313,315,320,322,359,360,376,381,384,385,391,399,401,403,
405,406,413,418,425,426,431,434,442,446,448,452,454,457,461,462,464,482,489,
502,528,538,691,710,716,752,766,772,775,777,798,849,852,860,862,865,867,876,
887,929,1022,1032,1125,1126,1264,1274,1286,1331,1359,1487,1494,1814],[1,2,3,4,
5,6,7,11,15,19,20,22,24,25,26,28,29,31,32,33,36,38,40,41,43,45,46,48,49,52,67,
70,72,73,74,76,80,84,85,89,90,100,101,103,112,114,116,119,121,124,126,128,129,
134,135,139,140,153,157,163,167,177,180,182,183,188,193,196,201,204,208,213,
214,278,279,283,286,290,298,303,315,318,320,322,334,350,351,372,376,379,381,
385,391,399,401,403,413,418,422,426,431,434,446,448,452,454,457,461,462,464,
482,489,502,528,538,691,710,716,752,766,772,775,777,798,852,856,862,865,867,
873,876,922,1009,1048,1108,1112,1262,1274,1286,1324,1343,1490,1498,1815],[1,2,
3,4,5,6,7,12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,36,38,39,40,
41,43,44,45,46,48,49,50,67,70,72,73,74,75,77,78,80,81,84,85,86,92,95,96,97,
100,101,102,103,112,114,115,116,119,120,121,122,123,124,126,128,129,134,135,
139,140,153,155,165,168,177,180,182,183,188,195,197,200,201,203,204,208,211,
214,278,280,283,285,287,288,289,291,292,297,298,299,304,314,316,318,320,322,
334,350,351,372,377,378,379,380,383,386,390,399,401,403,411,418,421,422,423,
424,432,434,446,448,452,454,457,461,462,464,483,491,502,526,537,692,710,717,
753,765,770,773,777,800,854,855,856,857,861,863,867,873,874,922,1008,1047,
1108,1112,1263,1273,1288,1324,1344,1491,1499,1816],[1,2,3,5,6,12,13,14,15,19,
20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,67,69,71,72,75,77,78,80,
81,84,85,86,92,95,96,97,100,101,102,111,114,115,116,119,120,121,122,123,125,
130,133,138,150,156,164,169,176,178,181,185,194,198,200,203,204,207,212,277,
280,283,285,287,288,289,291,292,297,298,299,302,313,316,318,319,321,333,347,
348,371,375,378,379,380,382,384,392,400,402,412,417,421,422,423,425,430,433,
447,453,456,460,463,484,490,500,527,539,692,709,718,751,764,771,774,776,799,
853,855,856,857,860,864,866,872,875,921,1010,1049,1107,1111,1263,1272,1287,
1323,1345,1492,1497,1817],[1,2,3,5,6,12,13,14,15,19,20,22,25,26,27,29,30,31,
32,35,38,39,40,44,47,51,69,71,72,78,80,81,84,86,89,92,95,96,97,100,101,111,
114,115,116,118,119,120,121,122,123,133,138,150,156,158,164,169,176,178,181,
187,194,198,200,205,207,212,269,273,274,277,286,287,289,292,297,298,302,310,
313,319,329,333,345,347,364,371,378,382,392,394,400,402,405,408,412,417,430,
436,440,442,450,453,460,474,484,490,527,531,539,693,707,718,761,767,771,776,
778,801,846,858,864,872,877,885,887,930,1011,1045,1110,1113,1266,1291,1325,
1350,1493,1818],[1,2,3,5,6,11,19,20,22,25,26,29,31,35,38,40,44,45,47,50,67,69,
71,76,82,84,85,100,101,104,108,111,116,125,130,133,138,150,158,164,169,178,
181,182,185,189,195,197,200,212,277,279,281,283,293,295,305,308,314,321,333,
357,358,369,371,376,378,386,387,397,404,410,417,419,424,447,453,456,463,500,
523,531,534,539,562,689,709,738,742,744,746,754,811,816,844,848,850,861,872,
880,928,1029,1042,1124,1268,1269,1312,1330,1348,1488,1489,1819],[1,2,3,5,6,19,
20,22,25,26,29,31,35,38,40,43,44,47,49,67,69,82,84,85,100,101,104,108,111,116,
125,138,150,156,158,164,169,176,177,178,183,200,205,209,211,212,265,283,293,
295,300,304,329,331,333,346,352,363,369,371,374,377,399,411,416,417,419,444,
445,500,505,508,523,527,531,534,539,562,688,705,738,741,811,813,814,815,816,
870,874,882,883,889,926,1052,1054,1106,1120,1271,1314,1326,1368,1500,1820],[1,
2,3,5,6,7,19,20,22,24,25,26,29,31,35,36,37,38,40,42,44,47,49,67,69,70,82,83,
84,85,100,101,104,105,107,108,110,111,116,125,138,150,155,156,157,158,161,162,
163,164,165,169,176,177,178,179,200,205,206,209,210,212,219,265,267,283,293,
294,295,329,330,331,332,333,344,369,371,374,417,419,444,445,500,505,506,507,
508,509,521,522,523,524,526,527,528,529,530,531,534,539,560,561,562,591,592,
594,595,688,705,706,736,737,738,741,811,813,814,815,816,818,835,882,883,889,
913,914,915,948,949,1052,1053,1054,1055,1283,1301,1314,1368,1369,1460,1461,
1462,1463,1821],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,24,25,26,28,29,31,32,
33,34,36,38,40,41,43,44,45,47,49,50,67,70,72,73,74,76,80,84,85,87,88,89,90,91,
93,94,98,99,100,101,103,112,114,116,119,121,124,126,128,129,130,131,132,133,
134,135,136,137,139,140,141,142,144,147,150,151,153,157,158,163,167,173,177,
178,182,183,184,186,187,188,189,190,191,192,195,197,200,201,202,207,213,217,
218,270,275,276,278,279,283,286,290,298,303,307,310,311,314,319,322,326,328,
342,371,376,381,386,399,401,403,410,413,417,424,433,436,439,446,448,452,454,
455,456,457,458,461,462,464,465,469,470,471,472,475,482,488,489,495,498,502,
511,512,513,518,519,528,531,538,541,542,543,544,546,549,550,551,552,555,556,
567,568,569,571,576,578,580,582,584,586,588,589,691,700,702,703,710,716,724,
730,731,733,744,752,766,772,775,777,780,791,798,821,826,832,852,858,861,866,
876,884,902,903,911,916,917,920,932,935,936,1005,1018,1021,1026,1031,1042,
1281,1286,1297,1302,1341,1361,1364,1427,1437,1449,1459,1822],[1,2,3,4,5,6,7,
12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,
41,43,44,45,48,49,51,67,70,72,73,74,75,77,78,80,81,84,85,86,87,88,91,92,93,94,
95,96,97,98,99,100,101,102,103,112,114,115,116,119,120,121,122,123,124,126,
128,129,130,131,132,133,134,135,136,137,139,140,141,142,146,149,152,153,154,
155,160,165,168,171,177,180,182,183,184,186,187,188,189,190,191,192,194,198,
200,201,202,208,211,217,218,270,275,276,278,280,283,285,287,288,289,291,292,
297,298,299,304,307,310,311,313,320,322,326,328,342,373,377,383,384,399,401,
403,408,411,418,425,434,437,440,446,448,452,454,455,456,457,458,461,462,464,
465,469,470,471,472,477,483,488,491,495,498,502,511,512,514,516,520,526,533,
537,541,542,543,544,547,549,550,551,552,553,558,567,568,569,571,576,578,580,
582,584,586,588,589,692,700,702,704,710,717,724,730,731,734,745,753,765,770,
773,777,782,792,800,820,827,833,854,859,860,867,874,885,902,903,911,916,917,
920,932,935,936,1006,1020,1022,1025,1032,1043,1281,1288,1298,1303,1340,1359,
1363,1426,1436,1448,1457,1823],[1,2,3,4,5,6,12,13,14,15,16,18,19,20,22,23,25,
26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,52,67,69,71,72,73,75,77,78,80,
81,84,85,86,87,92,93,94,95,96,97,99,100,101,102,111,114,115,116,119,120,121,
122,123,125,130,131,133,134,136,137,138,139,142,145,148,150,152,154,156,160,
164,169,172,176,180,181,182,185,186,189,190,191,193,196,200,202,208,212,218,
268,276,277,280,283,285,287,288,289,291,292,297,298,299,302,305,311,315,320,
321,327,341,373,375,382,385,400,402,409,412,418,426,434,437,441,447,452,453,
456,458,460,463,466,469,471,477,484,485,490,498,500,510,512,515,517,520,527,
533,539,541,542,545,547,548,551,554,557,568,572,581,582,589,590,692,702,704,
709,718,722,732,735,745,751,764,771,774,776,781,792,799,819,828,833,853,859,
862,867,875,886,904,908,917,918,931,934,1007,1019,1023,1027,1033,1044,1280,
1287,1298,1304,1342,1360,1362,1425,1435,1447,1458,1824],[1,2,3,4,5,6,11,16,18,
19,20,22,25,26,28,29,31,34,35,38,40,44,45,47,50,67,69,71,73,76,82,84,85,87,93,
94,99,100,101,104,108,111,116,125,130,131,133,134,136,137,138,139,142,144,150,
158,164,169,173,178,181,182,185,186,189,190,191,195,200,202,212,218,268,276,
277,279,281,283,293,295,305,308,311,321,327,333,341,369,371,376,378,386,387,
397,404,410,417,419,447,452,453,456,458,463,466,469,471,480,485,498,500,510,
512,523,531,534,539,541,542,545,548,551,555,562,568,572,581,582,589,590,689,
702,709,722,725,732,738,742,744,746,749,754,756,766,780,783,811,816,844,848,
850,872,880,904,908,917,918,931,934,1026,1029,1031,1039,1042,1047,1280,1284,
1289,1312,1338,1346,1348,1446,1453,1459,1466,1825],[1,2,3,4,5,6,7,12,16,17,18,
20,21,22,23,24,25,27,28,29,31,33,34,36,37,39,40,41,42,43,44,45,46,48,51,52,68,
70,71,73,74,78,79,83,85,87,88,93,94,98,99,100,102,103,105,106,109,110,112,113,
117,125,126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,143,
145,146,152,160,166,170,171,172,174,175,180,181,183,184,185,186,187,188,189,
190,191,192,193,194,199,201,202,203,204,214,216,217,218,268,270,276,278,280,
282,284,294,296,306,307,309,312,323,327,328,334,343,370,372,373,375,377,379,
380,384,385,388,389,398,406,408,409,418,420,449,453,454,455,457,458,459,463,
464,465,466,469,470,472,473,478,479,481,486,487,488,496,497,501,503,504,510,
511,512,525,533,535,540,541,543,544,545,548,549,550,551,552,553,554,559,565,
566,567,568,570,573,574,575,576,577,578,579,580,581,584,585,586,587,588,590,
690,701,711,723,724,726,731,732,739,743,745,747,748,750,755,757,758,764,765,
781,782,784,785,812,817,845,849,851,873,881,905,906,907,909,910,916,918,919,
920,933,937,938,1025,1027,1028,1030,1032,1033,1040,1041,1043,1044,1048,1049,
1282,1285,1290,1313,1339,1347,1349,1444,1445,1454,1455,1457,1458,1467,1468,
1826],[1,2,3,5,6,12,13,14,15,17,19,20,22,25,26,27,29,30,31,32,35,38,39,40,44,
47,51,69,71,72,78,80,81,84,86,88,89,91,92,95,96,97,100,101,111,114,115,116,
118,119,120,121,122,123,133,138,146,149,150,151,156,158,164,169,171,176,178,
181,194,198,205,207,212,215,269,273,274,275,277,286,287,289,292,297,298,302,
313,319,329,336,382,392,394,400,402,405,412,430,442,450,453,460,474,475,484,
490,514,516,519,527,531,539,546,553,558,583,593,693,703,707,718,734,761,767,
771,776,778,786,801,824,830,846,864,877,887,898,912,939,1011,1013,1045,1050,
1275,1291,1305,1350,1351,1431,1451,1452,1456,1827],[1,2,3,4,5,6,7,12,13,14,15,
16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,43,44,45,
46,49,52,67,68,70,72,73,74,75,77,78,80,81,84,85,86,87,92,93,94,95,96,97,99,
100,101,102,103,112,114,115,116,117,119,120,121,122,123,124,125,126,127,128,
129,131,132,134,135,136,137,138,139,140,141,142,143,145,148,153,155,165,168,
172,177,182,183,184,186,188,189,190,191,192,193,196,200,201,202,203,204,211,
217,218,266,276,278,280,283,284,285,287,288,289,291,292,297,298,299,304,311,
312,315,316,317,318,322,323,338,377,379,380,383,385,399,401,403,409,411,422,
423,426,441,446,448,449,452,454,455,457,458,459,461,462,464,465,466,469,471,
472,473,483,491,495,496,497,498,499,500,501,502,503,504,515,517,526,537,541,
542,544,545,554,557,569,570,571,572,574,575,584,585,586,588,589,590,692,701,
702,710,711,717,727,728,729,735,743,753,765,770,773,777,781,789,790,800,819,
828,854,856,857,862,874,886,900,901,907,908,910,911,941,942,943,1002,1009,
1015,1030,1040,1048,1277,1288,1296,1304,1337,1343,1367,1428,1438,1441,1445,
1828],[1,2,3,5,6,12,13,14,15,17,19,20,21,22,23,25,26,27,29,30,31,32,35,38,39,
40,44,46,47,51,67,68,69,71,72,75,77,78,80,81,84,85,86,88,91,92,95,96,97,100,
101,102,111,114,115,116,119,120,121,122,123,125,127,130,133,138,141,143,146,
149,150,156,164,169,171,176,181,185,187,194,198,200,203,204,212,216,266,275,
277,280,283,285,287,288,289,291,292,297,298,299,302,310,313,316,318,321,337,
375,379,380,382,384,400,402,408,412,422,423,425,440,447,453,456,460,463,470,
484,490,495,497,499,500,501,504,514,516,527,539,543,553,558,573,587,692,700,
709,718,727,728,734,743,751,764,771,774,776,782,789,790,799,820,827,853,856,
857,860,875,885,899,909,940,1004,1010,1017,1028,1041,1049,1276,1287,1296,1303,
1335,1345,1366,1429,1439,1442,1444,1829],[1,2,3,4,5,6,7,11,15,16,18,19,20,21,
22,24,25,26,28,29,31,32,33,34,36,38,40,41,43,44,45,49,50,67,68,70,72,73,74,76,
80,84,85,87,89,90,93,94,99,100,101,103,112,114,116,117,119,121,124,125,126,
128,129,131,132,134,135,136,137,138,139,140,141,142,144,147,153,157,163,167,
173,177,182,183,184,186,188,189,190,191,192,195,197,200,201,202,203,213,217,
218,266,276,278,279,283,284,286,290,298,303,311,312,314,316,317,322,323,338,
376,378,381,386,399,401,403,410,413,421,424,439,446,448,449,452,454,455,457,
458,459,461,462,464,465,466,469,471,472,473,482,489,495,496,497,498,500,501,
502,503,513,518,528,538,541,542,544,545,555,556,569,570,571,572,574,575,584,
585,586,588,589,590,691,701,702,710,711,716,727,729,733,742,752,766,772,775,
777,780,788,798,821,826,852,855,861,876,884,900,901,907,908,910,911,941,942,
943,1003,1008,1016,1029,1039,1047,1277,1286,1295,1302,1336,1344,1365,1430,
1440,1443,1446,1830],[1,2,3,4,5,6,7,11,16,19,20,22,24,25,26,28,29,31,33,35,36,
38,40,41,43,44,45,47,49,50,67,69,70,71,73,74,76,82,84,85,93,100,101,103,104,
107,108,111,112,116,124,125,126,128,129,130,131,132,133,134,135,138,139,140,
144,150,157,158,162,163,164,169,173,177,178,181,182,183,184,185,188,189,192,
195,200,201,209,212,217,267,268,277,278,279,281,283,293,295,300,301,305,306,
308,321,322,331,333,339,369,371,378,386,387,393,399,404,410,413,416,417,419,
446,447,448,449,452,453,454,456,457,462,463,464,471,473,480,485,486,487,488,
500,502,522,523,528,529,531,534,539,548,552,555,560,562,569,574,575,576,579,
580,689,695,696,709,710,722,723,725,736,738,742,744,746,754,756,780,783,798,
807,810,811,816,848,850,868,870,872,880,901,902,905,944,945,946,1003,1005,
1008,1016,1018,1021,1278,1289,1299,1312,1370,1372,1375,1427,1430,1434,1470,
1831],[1,3,4,5,6,7,12,17,18,20,21,22,23,24,27,28,29,33,34,35,36,37,39,40,41,
42,44,45,46,47,48,49,51,52,68,69,70,73,74,78,79,83,87,88,94,98,100,102,103,
105,106,107,109,110,112,113,117,125,126,127,129,130,131,132,136,137,141,142,
143,145,146,152,155,156,160,161,162,164,165,166,170,171,172,174,175,176,177,
180,181,182,184,186,187,190,191,193,194,199,202,203,204,210,214,216,218,267,
270,278,280,282,284,294,296,301,307,309,323,332,334,340,370,372,373,379,380,
384,385,388,389,395,400,401,406,408,409,411,412,414,415,418,420,446,447,449,
455,458,459,465,466,469,470,472,478,479,481,485,487,488,501,503,504,521,522,
525,526,527,530,533,535,540,549,550,551,553,554,559,561,565,570,571,572,573,
577,578,581,582,690,696,711,724,726,737,739,743,745,747,755,757,758,781,782,
784,785,799,800,805,806,808,809,812,817,849,851,869,871,873,881,899,900,903,
904,906,947,1002,1004,1006,1007,1009,1010,1015,1017,1019,1020,1022,1023,1279,
1290,1300,1313,1371,1373,1376,1425,1426,1428,1429,1432,1433,1471,1472,1832],[
1,2,3,4,5,6,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,38,39,
40,44,45,47,50,52,67,69,72,75,77,78,80,81,82,84,85,86,87,92,93,94,95,96,97,99,
100,101,102,104,108,114,115,116,119,120,121,122,123,125,130,131,136,139,142,
145,148,156,158,164,169,172,173,176,178,181,186,189,193,195,196,197,202,205,
212,276,280,283,285,287,288,289,291,292,293,297,298,299,302,311,314,315,329,
368,375,382,385,386,387,394,400,407,409,412,424,426,429,441,443,447,450,458,
469,471,480,490,494,498,505,508,515,517,523,527,541,542,554,557,562,692,699,
702,705,735,751,756,761,781,796,799,801,819,828,861,862,875,877,886,888,958,
959,1007,1034,1044,1069,1265,1304,1308,1342,1354,1392,1486,1833],[1,2,3,4,5,6,
7,11,15,16,18,19,20,22,24,25,26,28,29,31,32,34,36,37,38,40,42,43,45,49,50,51,
67,70,72,76,80,83,84,85,87,89,90,93,94,99,100,101,105,110,114,116,119,121,124,
128,131,136,139,142,144,147,155,157,159,163,165,168,173,175,177,179,183,186,
189,194,195,197,198,202,206,211,276,279,283,286,290,294,298,304,311,313,314,
330,366,377,383,384,386,389,396,399,405,410,411,413,424,425,427,439,442,448,
451,458,469,471,478,491,492,498,506,507,509,513,518,524,526,528,541,542,555,
556,564,691,698,702,706,733,753,757,759,780,795,798,802,821,826,860,861,874,
879,884,887,957,960,1006,1035,1043,1071,1264,1302,1310,1340,1355,1394,1485,
1834],[1,2,3,5,6,7,12,13,14,15,17,19,20,22,23,24,25,26,27,29,30,31,32,36,37,
38,39,40,42,44,45,49,50,51,52,67,70,72,75,77,78,80,81,83,84,85,86,88,91,92,95,
96,97,100,101,102,105,110,114,115,116,119,120,121,122,123,126,129,130,133,141,
146,149,155,157,159,163,165,167,171,174,177,179,182,187,193,194,195,196,197,
198,200,206,213,275,280,283,285,287,288,289,291,292,294,297,298,299,303,310,
313,314,315,330,367,376,381,384,385,386,388,396,401,407,408,411,413,424,425,
426,428,440,443,446,451,456,470,479,489,493,495,506,507,509,514,516,524,526,
528,543,553,558,563,692,697,700,706,734,752,758,760,782,797,800,802,820,827,
860,861,862,876,878,885,888,956,961,1005,1035,1042,1070,1265,1303,1309,1341,
1355,1393,1487,1835],[1,2,3,4,5,11,15,16,19,22,25,26,28,29,32,35,38,44,45,47,
50,69,71,72,73,76,82,84,89,93,101,104,108,111,119,130,131,133,134,139,147,150,
156,158,169,176,178,182,189,195,200,205,212,268,277,279,281,286,293,295,305,
308,329,333,368,371,374,376,378,386,387,397,404,410,417,419,429,439,450,452,
456,460,471,474,484,485,494,505,513,531,534,548,689,707,714,722,744,749,754,
766,813,815,821,822,844,848,850,872,883,959,982,1012,1026,1039,1094,1269,1284,
1307,1333,1338,1402,1489,1836],[1,2,3,5,6,12,13,14,15,17,19,20,22,23,25,26,27,
29,30,31,32,35,38,39,40,44,46,47,51,67,69,72,75,77,78,80,81,82,84,85,86,88,91,
92,95,96,97,100,101,102,104,108,114,115,116,119,120,121,122,123,125,130,133,
141,146,149,156,158,164,169,171,176,178,181,187,194,198,200,203,204,205,212,
275,280,283,285,287,288,289,291,292,293,297,298,299,302,310,313,316,318,329,
348,369,375,378,379,380,382,384,394,400,408,412,421,422,423,425,436,440,447,
450,456,470,490,494,495,505,508,514,516,523,527,534,543,553,558,562,692,699,
700,705,734,746,751,761,782,793,799,801,820,827,855,856,857,860,875,877,885,
950,952,1004,1037,1041,1059,1263,1303,1308,1335,1357,1389,1492,1837],[1,2,3,4,
5,6,7,11,15,16,18,19,20,22,24,25,26,28,29,31,32,34,36,37,38,40,42,43,45,46,49,
50,67,70,72,76,80,83,84,85,87,89,90,93,94,99,100,101,105,110,114,116,119,121,
124,128,131,136,139,142,144,147,155,157,159,163,165,168,170,173,177,179,183,
186,189,195,197,202,204,206,211,276,279,283,286,290,294,298,304,311,314,318,
330,349,370,377,379,383,386,396,399,410,411,413,422,424,438,439,448,451,458,
469,471,491,492,498,506,507,509,513,518,524,526,528,535,541,542,555,556,564,
691,698,702,706,733,747,753,759,780,794,798,802,821,826,856,861,874,879,884,
951,953,1002,1036,1040,1061,1262,1302,1310,1337,1356,1390,1491,1838],[1,2,3,4,
5,6,7,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,
40,42,44,45,46,49,52,67,70,72,75,77,78,80,81,83,84,85,86,87,92,93,94,95,96,97,
99,100,101,102,105,110,114,115,116,119,120,121,122,123,126,129,131,136,139,
142,145,148,155,157,159,163,165,167,170,172,177,179,182,186,189,193,196,200,
202,203,204,206,213,276,280,283,285,287,288,289,291,292,294,297,298,299,303,
311,315,316,318,330,349,370,376,378,379,380,381,385,396,401,409,411,413,421,
422,423,426,438,441,446,451,458,469,471,489,493,498,506,507,509,515,517,524,
526,528,535,541,542,554,557,563,692,697,702,706,735,747,752,760,781,794,800,
802,819,828,855,856,857,862,876,878,886,951,953,1003,1038,1039,1061,1263,1304,
1309,1336,1358,1390,1490,1839],[1,2,3,4,5,11,15,16,19,22,25,26,28,29,32,35,38,
44,45,47,50,69,71,72,73,76,82,84,89,93,101,104,108,111,119,130,131,133,134,
139,144,147,150,156,158,169,173,176,178,182,189,195,200,205,212,268,277,279,
281,286,293,295,305,308,329,333,368,371,374,378,386,387,404,410,417,419,429,
439,450,452,456,460,471,474,480,484,485,494,505,513,531,534,548,555,689,707,
714,722,725,744,754,756,780,783,813,815,821,822,848,850,872,883,959,982,1031,
1046,1047,1094,1268,1289,1307,1332,1346,1402,1488,1840],[1,2,3,5,6,12,13,14,
15,17,19,20,22,25,26,27,29,30,31,32,35,38,39,40,44,47,51,69,72,78,80,81,82,84,
86,88,89,91,92,95,96,97,100,101,104,108,114,115,116,118,119,120,121,122,123,
125,130,146,149,150,151,156,158,164,169,171,176,178,181,185,187,194,198,200,
207,212,269,273,274,275,286,287,289,292,293,297,298,302,310,313,319,321,348,
364,371,374,375,382,392,394,400,402,405,408,419,421,430,436,440,442,447,450,
467,475,490,494,505,514,516,519,527,531,534,546,553,558,562,693,699,703,712,
734,751,761,774,778,786,793,815,824,830,846,853,858,864,885,887,954,984,1013,
1050,1051,1058,1067,1266,1293,1305,1334,1351,1391,1493,1841],[1,2,3,5,6,7,11,
15,17,19,20,22,24,25,26,29,31,32,36,37,38,40,42,43,44,47,48,49,52,67,70,72,76,
80,83,84,85,88,89,90,91,100,101,105,110,114,116,119,121,124,128,130,133,141,
150,151,155,157,158,159,163,165,168,174,177,178,179,180,183,187,193,196,200,
206,207,208,211,275,279,283,286,290,294,298,304,310,315,319,320,330,367,371,
377,383,385,388,391,396,399,411,413,417,418,426,428,431,433,434,436,448,451,
456,470,475,479,491,492,495,506,507,509,519,524,526,528,531,543,546,564,691,
698,700,703,706,744,753,758,759,791,797,798,802,832,858,862,865,866,867,874,
879,956,961,1020,1025,1057,1070,1274,1297,1310,1353,1363,1393,1495,1842],[1,2,
3,4,5,6,7,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,36,37,
38,39,40,42,45,47,48,49,51,67,70,72,75,77,78,80,81,83,84,85,86,87,92,93,94,95,
96,97,99,100,101,102,105,110,114,115,116,119,120,121,122,123,126,129,131,136,
139,142,152,154,155,157,159,160,163,165,167,175,177,178,179,180,182,186,189,
194,198,202,206,207,208,213,276,280,283,285,287,288,289,291,292,294,297,298,
299,303,311,313,319,320,330,366,373,376,381,384,389,392,396,401,411,413,417,
418,425,427,430,433,434,437,446,451,458,469,471,477,478,489,493,498,506,507,
509,520,524,526,528,533,541,542,547,563,692,697,702,704,706,745,752,757,760,
792,795,800,802,833,859,860,864,866,867,876,878,957,960,1018,1026,1057,1071,
1272,1298,1309,1353,1364,1394,1494,1843],[1,2,3,4,5,6,12,13,14,15,16,18,19,20,
22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,67,69,72,75,77,78,
80,81,82,84,85,86,87,92,93,94,95,96,97,99,100,101,102,104,108,114,115,116,119,
120,121,122,123,125,130,131,136,139,142,152,154,156,158,160,164,169,173,176,
178,180,181,186,189,195,197,202,205,208,212,276,280,283,285,287,288,289,291,
292,293,297,298,299,302,311,314,320,329,368,373,375,382,386,387,390,394,400,
412,418,424,429,432,434,437,447,450,458,469,471,477,480,490,494,498,505,508,
520,523,527,533,541,542,547,562,692,699,702,704,705,745,751,756,761,792,796,
799,801,833,859,861,863,867,875,877,958,959,1019,1027,1056,1069,1273,1298,
1308,1352,1362,1392,1496,1844],[1,2,3,5,6,7,11,15,19,20,21,22,24,25,26,29,31,
32,36,37,38,40,42,43,44,48,49,52,67,68,70,72,76,80,83,84,85,89,90,100,101,105,
110,114,116,119,121,124,125,128,138,141,155,157,159,163,165,166,168,177,179,
180,183,193,196,200,203,206,208,211,266,279,283,286,290,294,298,304,315,316,
320,330,365,377,378,383,385,391,396,399,411,413,418,420,421,426,431,434,435,
448,451,491,492,495,497,500,501,506,507,509,524,525,526,528,564,691,698,706,
727,742,753,759,763,788,798,802,817,855,862,865,867,874,879,975,977,1015,1030,
1038,1073,1274,1295,1310,1358,1367,1384,1499,1845],[1,2,3,5,6,7,12,13,14,15,
19,20,21,22,23,24,25,26,27,29,30,31,32,36,37,38,39,40,42,44,45,46,48,49,50,67,
68,70,72,75,77,78,80,81,83,84,85,86,92,95,96,97,100,101,102,105,110,114,115,
116,119,120,121,122,123,125,126,127,129,138,141,143,155,157,159,163,165,166,
167,177,179,180,182,195,197,200,203,204,206,208,213,266,280,283,285,287,288,
289,291,292,294,297,298,299,303,314,316,318,320,330,365,376,379,380,381,386,
390,396,401,411,413,418,420,422,423,424,432,434,435,446,451,489,493,495,497,
499,500,501,504,506,507,509,524,525,526,528,563,692,697,706,727,728,743,752,
760,763,789,790,800,802,817,856,857,861,863,867,876,878,975,977,1016,1029,
1036,1073,1273,1296,1309,1356,1365,1384,1498,1846],[1,2,3,5,6,12,13,14,15,19,
20,21,22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,67,68,69,72,75,77,78,
80,81,82,84,85,86,92,95,96,97,100,101,102,104,108,114,115,116,119,120,121,122,
123,125,127,130,138,141,143,156,158,164,169,176,178,181,194,198,200,203,204,
205,207,212,266,280,283,285,287,288,289,291,292,293,297,298,299,302,313,316,
318,319,329,364,375,379,380,382,384,392,394,400,412,417,419,422,423,425,430,
433,447,450,490,494,495,497,499,500,501,504,505,508,523,527,562,692,699,705,
727,728,743,751,761,762,789,790,799,801,816,856,857,860,864,866,875,877,974,
976,1017,1028,1037,1072,1272,1296,1308,1357,1366,1383,1497,1847],[1,2,3,4,5,
11,15,16,19,22,25,26,28,29,32,35,38,44,45,47,49,50,69,71,72,73,76,82,84,89,93,
101,104,108,111,119,130,131,133,134,139,144,150,153,156,158,169,173,176,177,
178,182,189,195,200,205,209,212,268,277,279,281,286,293,295,305,308,329,331,
333,361,371,374,378,381,386,387,393,395,404,410,413,417,419,444,445,450,452,
456,460,461,471,474,480,484,485,494,505,531,534,548,555,689,707,714,722,725,
744,754,756,769,772,780,783,813,815,848,850,868,872,883,889,966,980,1003,1014,
1018,1081,1270,1289,1307,1370,1374,1385,1483,1848],[1,2,3,5,7,11,15,19,22,24,
25,26,29,32,35,36,38,43,44,45,47,49,50,69,70,71,72,76,82,84,89,101,104,107,
108,111,119,124,128,130,133,150,156,157,158,162,163,167,169,176,177,178,182,
183,189,195,200,205,209,212,267,277,279,281,286,293,295,300,305,308,329,331,
333,356,371,374,376,378,386,387,393,397,399,403,404,410,413,414,416,417,419,
448,450,456,460,474,484,486,489,494,505,522,528,529,531,534,560,689,695,707,
714,736,744,754,775,798,803,807,810,813,815,844,848,850,868,870,872,883,963,
978,1008,1014,1021,1090,1269,1299,1307,1374,1375,1387,1484,1849],[1,2,3,5,7,
15,19,22,24,25,26,29,32,35,36,38,43,44,47,49,69,70,72,82,84,89,101,104,107,
108,111,119,130,133,150,156,157,158,159,162,163,168,169,177,178,181,183,185,
200,209,212,265,267,286,293,295,300,321,331,333,353,362,369,371,374,378,383,
396,398,399,415,416,419,444,445,451,456,467,484,490,491,494,505,522,528,529,
531,534,560,688,712,714,736,746,754,759,804,814,815,818,835,870,880,882,889,
970,971,1024,1053,1055,1079,1084,1271,1301,1311,1369,1377,1400,1500,1850],[1,
2,3,5,7,15,17,19,22,24,25,26,29,32,35,36,38,43,47,49,69,70,71,72,84,88,89,91,
101,111,119,128,150,151,157,158,159,161,162,163,168,176,177,178,183,205,207,
210,215,219,220,275,277,286,319,329,332,336,344,346,352,363,383,393,396,399,
416,450,451,460,474,475,486,491,519,521,522,528,531,546,583,591,593,594,596,
597,598,599,600,601,602,703,707,759,807,839,840,898,912,926,939,948,987,989,
1078,1080,1100,1101,1141,1142,1143,1144,1145,1146,1148,1151,1275,1511,1538,
1589,1591,1594,1595,1608,1609,1851],[1,2,3,5,6,7,19,20,22,24,25,26,29,31,35,
36,37,38,40,42,44,47,49,67,69,70,82,83,84,85,100,101,104,105,107,108,110,116,
141,150,151,155,156,157,158,161,162,163,164,165,169,176,177,178,179,200,205,
206,207,209,210,215,219,220,267,283,293,294,319,329,330,331,332,336,344,345,
347,364,371,374,419,433,436,495,505,506,507,508,509,519,521,522,523,524,526,
527,528,529,530,531,534,560,561,583,591,592,593,594,595,596,597,598,599,600,
601,602,705,706,736,737,815,832,836,837,913,914,915,930,939,948,949,985,986,
1058,1072,1102,1103,1141,1142,1143,1144,1145,1147,1149,1151,1283,1518,1537,
1589,1590,1592,1593,1606,1607,1852],[1,2,3,4,5,6,7,12,13,14,15,19,20,22,23,24,
25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,43,44,45,47,49,67,69,70,72,73,74,
75,77,78,80,81,82,84,85,86,92,95,96,97,100,101,102,103,104,108,112,114,115,
116,119,120,121,122,123,124,125,126,128,129,130,131,134,135,139,140,153,155,
156,158,162,164,165,168,169,176,177,178,179,181,182,183,188,192,201,205,206,
209,210,211,212,213,217,219,278,280,283,285,287,288,289,291,292,293,297,298,
299,300,302,303,304,306,322,325,329,330,331,332,335,339,344,346,352,353,354,
355,356,361,362,363,375,376,377,381,382,383,394,395,396,397,398,399,400,401,
403,411,412,413,414,416,446,447,448,450,452,454,457,461,462,464,483,485,490,
491,494,502,505,508,522,523,526,527,537,562,575,576,592,595,692,699,705,710,
717,749,751,753,761,765,770,773,777,799,800,801,805,810,845,847,852,854,869,
870,874,875,876,877,878,879,891,895,896,897,923,924,926,927,944,949,962,963,
965,966,968,970,972,973,978,981,987,990,991,993,1074,1075,1078,1081,1084,1088,
1089,1104,1106,1115,1116,1117,1120,1122,1123,1134,1135,1136,1138,1139,1140,
1288,1308,1317,1326,1329,1380,1397,1477,1480,1505,1506,1508,1510,1541,1542,
1548,1550,1554,1558,1853],[1,2,3,4,5,6,7,11,15,19,20,22,24,25,26,28,29,31,32,
33,36,37,38,40,41,42,43,44,45,47,49,67,70,72,73,74,76,80,83,84,85,89,90,100,
101,103,105,110,112,114,116,119,121,124,126,128,129,132,134,135,139,140,153,
155,157,159,161,163,165,167,168,176,177,178,179,181,182,183,184,185,188,192,
200,201,205,206,210,211,212,213,217,219,278,279,283,286,290,294,298,301,302,
303,304,306,321,322,324,329,330,332,333,339,344,346,352,353,354,355,356,361,
362,363,375,376,377,381,382,383,394,395,396,398,399,400,401,402,403,411,412,
413,414,415,446,448,451,452,454,457,461,462,464,482,487,489,491,492,502,506,
507,509,521,524,526,528,538,564,569,579,591,594,691,698,706,710,716,748,752,
753,759,766,772,775,777,798,802,806,809,845,846,852,853,869,871,874,875,876,
877,879,890,894,895,896,897,923,924,925,926,927,945,948,963,964,965,966,968,
969,971,972,979,981,988,990,991,992,1076,1077,1082,1083,1086,1091,1104,1105,
1115,1116,1118,1119,1122,1123,1134,1135,1136,1138,1139,1140,1286,1310,1317,
1327,1329,1379,1398,1478,1479,1505,1507,1508,1509,1539,1544,1547,1552,1553,
1557,1854],[1,2,3,5,6,7,12,13,14,15,19,20,22,23,24,25,26,27,29,30,31,32,35,36,
37,38,39,40,42,43,44,45,47,49,67,69,70,71,72,75,77,78,80,81,83,84,85,86,92,95,
96,97,100,101,102,105,110,111,114,115,116,119,120,121,122,123,125,126,128,129,
130,133,138,150,155,156,157,159,162,163,164,165,167,169,176,177,179,181,182,
183,184,185,188,189,200,201,206,209,210,211,212,213,217,219,277,280,283,285,
287,288,289,291,292,294,297,298,299,301,302,303,304,305,321,322,325,330,331,
332,335,339,344,346,353,354,355,356,361,362,363,375,376,377,381,382,383,393,
396,397,398,399,400,401,402,403,411,412,413,414,415,416,446,447,451,453,456,
460,463,484,486,489,490,493,500,506,507,509,522,524,526,527,528,539,563,574,
580,592,595,692,697,706,709,718,750,751,752,760,764,771,774,776,799,800,802,
807,808,844,847,852,853,854,868,871,874,875,876,878,879,891,894,896,897,924,
925,927,946,949,962,964,967,969,970,971,972,973,979,980,988,989,992,993,1074,
1075,1079,1080,1085,1087,1090,1104,1105,1106,1115,1117,1118,1119,1121,1134,
1135,1136,1138,1139,1140,1287,1309,1317,1327,1328,1380,1399,1476,1480,1504,
1507,1509,1510,1540,1543,1549,1551,1555,1556,1855],[1,2,3,5,6,11,15,19,20,22,
25,26,29,31,32,35,38,40,44,47,67,69,71,72,76,82,84,85,89,100,101,104,108,111,
116,119,125,130,133,138,141,150,151,156,158,164,169,176,178,181,185,187,200,
203,205,207,212,215,216,277,279,281,283,286,293,295,302,310,316,319,321,324,
329,333,336,337,345,347,348,364,369,371,374,378,417,419,421,433,436,447,450,
453,456,460,463,474,484,494,495,500,505,519,523,531,534,539,562,573,583,587,
593,689,707,709,714,738,742,744,746,754,788,791,811,813,815,816,832,855,858,
866,872,880,882,883,890,892,893,921,930,939,940,950,952,954,974,976,984,985,
986,994,1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1307,1312,
1316,1323,1325,1378,1395,1473,1474,1501,1502,1503,1545,1546,1559,1561,1562,
1564,1856],[1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,44,47,49,69,70,71,
72,84,89,101,111,119,128,150,157,158,159,161,162,163,168,176,177,178,183,187,
200,205,207,210,212,219,220,277,286,310,319,329,332,333,344,345,346,347,352,
363,364,371,378,383,393,396,399,416,417,436,450,451,460,474,486,491,521,522,
528,531,591,594,596,597,598,707,759,807,839,840,858,872,926,930,948,987,989,
1078,1080,1100,1101,1110,1113,1141,1147,1149,1325,1511,1538,1590,1601,1857],[
1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,43,44,47,49,67,69,82,84,85,100,101,
104,108,116,141,150,151,156,158,164,169,176,177,178,183,200,205,207,209,211,
215,220,283,293,300,304,319,329,331,336,345,346,347,352,363,364,371,374,377,
399,411,416,419,433,436,495,505,508,519,523,527,531,534,583,593,596,597,598,
705,815,832,836,837,870,874,926,930,939,985,986,1058,1072,1102,1103,1106,1120,
1141,1146,1148,1326,1518,1537,1591,1601,1858],[1,2,3,5,6,19,20,22,25,26,29,31,
35,38,40,44,47,52,67,69,82,84,85,100,101,104,108,111,116,125,138,150,156,158,
164,169,176,178,193,196,200,205,212,220,265,283,293,295,315,329,333,369,371,
374,385,417,419,426,500,505,508,523,527,531,534,539,562,596,597,598,688,705,
738,741,811,813,814,815,816,862,882,883,1034,1102,1103,1141,1314,1354,1537,
1569,1571,1859],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,48,67,69,82,84,
85,100,101,104,108,111,116,125,138,150,156,158,164,169,176,178,180,200,205,
208,212,220,265,283,293,295,320,329,333,369,371,374,417,418,419,434,500,505,
508,523,527,531,534,539,562,596,597,598,688,705,738,741,811,813,814,815,816,
867,882,883,1056,1102,1103,1141,1314,1352,1537,1568,1572,1860],[1,2,3,5,6,12,
13,14,15,19,20,22,25,26,27,29,30,31,32,35,38,39,40,44,47,50,69,71,72,78,80,81,
84,86,89,92,95,96,97,100,101,111,114,115,116,118,119,120,121,122,123,133,138,
150,156,158,164,169,176,178,181,195,205,212,220,269,273,274,277,286,287,289,
292,297,298,302,308,329,382,386,394,400,402,404,412,450,453,460,474,484,490,
527,531,539,596,597,598,693,707,718,761,767,771,776,778,801,846,848,877,1046,
1100,1101,1141,1291,1332,1538,1574,1576,1861],[1,2,3,5,6,12,13,14,15,19,20,22,
25,26,27,29,30,31,32,35,38,39,40,44,45,47,69,71,72,78,80,81,84,86,89,92,95,96,
97,100,101,111,114,115,116,118,119,120,121,122,123,133,138,150,156,158,164,
169,176,178,181,182,189,205,212,220,269,273,274,277,286,287,289,292,297,298,
302,305,329,376,382,394,397,400,402,412,450,453,460,474,484,490,527,531,539,
596,597,598,693,707,718,761,767,771,776,778,801,844,846,877,1012,1100,1101,
1141,1291,1333,1538,1575,1579,1862],[1,2,3,5,6,19,20,21,22,25,26,29,31,35,38,
40,44,47,49,67,68,69,82,84,85,100,101,104,108,116,125,138,141,156,164,176,177,
178,200,203,205,207,209,220,266,283,293,316,319,329,331,364,417,419,433,444,
445,495,497,500,501,505,508,523,527,596,597,598,705,727,762,816,866,889,974,
976,1052,1054,1072,1102,1103,1141,1368,1383,1537,1573,1602,1863],[1,2,3,4,5,
15,16,19,22,25,26,28,29,32,35,38,45,47,49,51,69,71,72,73,84,89,93,101,111,119,
131,134,139,150,153,158,176,177,178,182,189,194,198,205,209,220,268,277,286,
305,313,329,331,361,381,393,395,405,413,442,450,452,460,461,471,474,485,531,
548,596,597,598,707,722,769,772,868,887,966,980,1011,1045,1081,1100,1101,1141,
1350,1385,1538,1577,1605,1864],[1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,
45,47,51,69,70,71,72,84,89,101,107,111,119,124,128,150,158,167,176,178,182,
183,189,194,198,205,220,267,277,286,300,305,313,329,356,376,397,403,405,414,
442,448,450,460,474,486,489,531,596,597,598,695,707,775,803,844,887,963,978,
1011,1045,1090,1100,1101,1141,1350,1387,1538,1578,1604,1865],[1,2,3,5,6,17,19,
20,22,25,26,29,31,35,38,40,44,47,49,67,69,82,84,85,88,91,100,101,104,108,116,
130,133,141,156,164,169,176,177,178,187,200,203,205,209,220,275,283,293,310,
316,329,331,348,369,378,421,436,444,445,456,470,495,505,508,523,527,534,543,
596,597,598,700,705,746,793,855,889,950,952,1052,1054,1059,1102,1103,1141,
1368,1389,1537,1570,1603,1866],[1,2,3,5,7,15,19,22,24,25,26,29,32,35,36,38,43,
45,47,49,51,69,70,71,72,84,89,101,111,119,128,150,157,158,159,161,162,163,168,
176,177,178,182,183,189,194,198,205,210,219,277,286,305,313,329,332,344,346,
352,363,376,383,393,396,397,399,405,416,442,450,451,460,474,486,491,521,522,
528,531,591,594,707,759,807,839,840,844,887,926,948,987,989,1011,1012,1045,
1078,1080,1333,1350,1511,1598,1612,1867],[1,2,3,5,7,15,19,22,24,25,26,29,32,
35,36,38,43,47,49,50,51,69,70,71,72,84,89,101,111,119,128,150,157,158,159,161,
162,163,168,176,177,178,183,194,195,198,205,210,219,277,286,308,313,329,332,
344,346,352,363,383,386,393,396,399,404,405,416,442,450,451,460,474,486,491,
521,522,528,531,591,594,707,759,807,839,840,848,887,926,948,987,989,1011,1045,
1046,1078,1080,1332,1350,1511,1599,1613,1868],[1,2,3,4,5,15,16,19,22,25,26,28,
29,32,35,38,44,45,49,50,51,69,72,82,84,89,93,101,104,108,119,131,137,139,147,
169,173,177,181,185,189,190,191,194,195,198,200,209,218,286,293,313,321,327,
331,341,357,358,386,387,405,439,442,444,445,467,471,480,490,510,513,534,581,
589,712,756,821,842,887,889,928,931,996,1024,1051,1099,1334,1377,1519,1600,
1614,1869],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,48,49,67,69,82,84,
85,100,101,104,108,116,141,150,151,156,158,164,169,176,177,178,180,200,205,
207,208,209,215,283,293,319,320,329,331,336,345,347,364,371,374,418,419,433,
434,436,444,445,495,505,508,519,523,527,531,534,583,593,705,815,832,836,837,
867,889,930,939,985,986,1052,1054,1056,1058,1072,1352,1368,1518,1597,1611,
1870],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,49,52,67,69,82,84,85,100,
101,104,108,116,141,150,151,156,158,164,169,176,177,178,193,196,200,205,207,
209,215,283,293,315,319,329,331,336,345,347,364,371,374,385,419,426,433,436,
444,445,495,505,508,519,523,527,531,534,583,593,705,815,832,836,837,862,889,
930,939,985,986,1034,1052,1054,1058,1072,1354,1368,1518,1596,1610,1871],[1,2,
3,4,5,6,7,19,20,22,24,25,26,28,29,31,33,36,38,40,41,43,44,45,46,47,49,50,52,
67,70,73,74,84,85,100,101,103,112,116,124,126,128,129,134,135,139,140,176,177,
178,181,182,183,188,192,193,195,196,197,201,204,207,210,211,212,278,283,302,
304,306,314,315,318,319,322,332,352,353,355,356,375,377,379,385,386,395,398,
399,400,411,412,417,422,424,426,433,446,448,452,454,457,462,464,502,710,845,
856,861,862,866,869,874,875,923,924,1009,1021,1031,1048,1115,1116,1122,1123,
1329,1343,1361,1486,1491,1495,1497,1872],[1,2,3,4,5,6,7,19,20,22,24,25,26,28,
29,31,33,36,38,40,41,43,44,45,47,48,49,50,51,67,70,73,74,84,85,100,101,103,
112,116,124,126,128,129,134,135,139,140,176,177,180,181,182,183,188,192,194,
195,197,198,200,201,203,208,210,211,212,278,283,302,304,306,313,314,316,320,
322,332,352,353,355,356,375,377,378,384,386,395,398,399,400,411,412,418,421,
424,425,434,446,448,452,454,457,462,464,502,710,845,855,860,861,867,869,874,
875,923,924,1008,1022,1032,1047,1115,1116,1122,1123,1329,1344,1359,1485,1492,
1496,1499,1873],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,45,46,48,49,51,52,
67,69,71,84,85,100,101,111,116,125,130,133,138,177,180,181,182,185,189,193,
194,196,198,200,204,208,209,213,277,283,303,305,313,315,318,320,321,331,354,
355,376,379,384,385,393,397,401,413,418,422,425,426,434,447,453,456,463,500,
709,844,856,860,862,867,868,876,925,1010,1023,1033,1049,1117,1121,1328,1345,
1360,1487,1490,1494,1498,1874],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,45,
47,49,50,67,69,71,84,85,100,101,111,116,125,130,133,138,177,178,181,182,185,
189,195,200,203,207,209,212,277,283,305,308,316,319,321,331,333,347,348,371,
376,378,386,393,397,404,413,417,421,433,447,453,456,463,500,709,844,848,855,
866,868,872,921,1005,1016,1029,1042,1107,1111,1323,1348,1372,1483,1484,1488,
1489,1875],[1,3,5,7,12,14,17,22,24,26,32,35,36,43,44,45,47,49,51,69,70,72,91,
97,146,149,151,158,159,161,162,167,168,169,176,177,181,182,183,184,198,207,
215,220,269,300,301,346,353,354,356,381,382,383,397,398,402,403,405,430,450,
451,475,489,490,491,516,521,522,583,597,599,602,778,779,824,839,897,898,978,
979,1011,1012,1050,1083,1084,1085,1101,1142,1148,1319,1404,1452,1575,1595,
1598,1604,1876],[1,2,3,5,7,12,14,15,17,22,24,25,26,32,36,43,45,47,49,50,51,70,
71,72,89,91,97,128,146,149,150,151,158,159,161,167,168,176,177,182,183,189,
195,198,205,207,210,215,220,269,305,332,352,356,361,363,368,381,383,393,394,
403,404,405,414,430,439,451,460,474,475,486,489,491,516,521,546,583,593,597,
599,602,767,779,824,840,895,912,968,980,982,1013,1014,1045,1046,1077,1080,
1090,1100,1142,1146,1320,1411,1451,1576,1594,1599,1605,1877],[1,3,5,6,7,19,20,
26,29,35,36,37,44,47,48,49,67,82,83,84,107,141,151,156,161,162,163,164,165,
169,178,179,180,200,203,207,209,210,219,220,265,316,319,347,348,364,365,369,
374,419,420,433,434,436,445,495,505,519,523,524,534,560,561,594,595,596,600,
602,741,814,818,837,893,915,976,977,984,1052,1053,1056,1057,1058,1059,1072,
1103,1143,1149,1322,1420,1460,1572,1593,1597,1602,1878],[1,3,5,7,19,26,29,35,
36,42,44,47,49,52,82,84,105,107,151,155,156,161,162,163,169,178,187,193,200,
206,209,210,219,220,265,310,345,348,367,369,388,419,421,426,445,505,507,519,
530,534,560,592,594,596,600,602,814,818,836,892,913,952,956,1034,1038,1054,
1055,1067,1102,1143,1147,1318,1415,1461,1571,1592,1596,1603,1879],[1,3,5,7,12,
14,17,22,24,26,32,35,36,43,44,45,47,49,51,69,70,72,91,97,107,146,149,151,158,
159,167,168,169,176,177,181,182,183,198,207,215,217,219,220,267,269,339,344,
352,355,381,382,383,397,398,402,403,405,414,415,416,430,450,451,475,489,490,
491,516,583,597,600,601,778,779,803,804,824,898,987,988,991,992,993,1011,1012,
1050,1101,1145,1146,1261,1424,1452,1575,1578,1608,1612,1880],[1,2,3,4,5,12,14,
15,16,17,22,25,26,28,32,47,49,50,51,71,72,73,89,91,93,97,146,147,149,150,151,
153,158,176,177,195,198,205,207,215,219,220,268,269,344,346,393,394,395,396,
404,405,429,430,460,461,474,475,513,516,546,583,593,597,600,601,767,768,769,
822,824,912,989,990,1013,1014,1045,1046,1100,1145,1148,1260,1450,1451,1576,
1577,1609,1613,1881],[1,3,5,7,17,19,26,29,35,36,42,44,47,49,52,82,84,88,91,
105,107,155,156,161,162,163,169,174,178,193,200,206,209,210,215,216,219,220,
265,275,336,337,347,369,419,421,426,428,436,445,479,505,507,530,534,560,592,
594,596,599,601,793,797,814,818,913,985,994,1034,1038,1054,1055,1102,1144,
1149,1259,1461,1464,1570,1571,1606,1610,1882],[1,5,6,7,19,20,21,35,36,37,47,
48,49,67,68,82,83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,
265,266,336,345,374,433,434,435,445,523,524,525,560,561,594,595,596,599,601,
741,762,763,818,915,986,1052,1053,1056,1057,1103,1144,1147,1258,1460,1469,
1572,1573,1607,1611,1883],[1,2,3,5,6,14,15,17,20,22,25,26,29,30,32,39,40,44,
45,47,49,50,51,71,72,81,89,91,100,115,120,133,138,149,150,151,158,171,176,177,
179,181,182,189,195,198,205,206,207,213,215,219,220,297,303,305,330,344,346,
354,355,361,362,368,381,392,393,396,400,401,402,404,405,411,439,453,460,474,
475,546,558,583,593,597,600,601,776,786,878,894,912,927,967,980,982,989,1014,
1045,1046,1050,1100,1121,1136,1145,1148,1411,1456,1504,1574,1605,1609,1613,
1884],[1,3,5,6,14,17,20,22,26,29,30,32,35,39,40,43,45,47,49,51,69,72,81,91,
100,115,120,149,151,156,158,164,171,176,177,182,183,188,198,201,207,211,215,
219,220,297,300,304,322,344,352,356,361,363,377,383,392,394,397,401,403,405,
412,416,450,475,527,558,583,597,600,601,786,801,854,895,898,923,973,978,987,
1011,1012,1013,1101,1120,1135,1145,1146,1404,1431,1506,1579,1604,1608,1612,
1885],[1,2,3,5,7,19,22,25,26,29,35,36,38,42,44,47,49,52,82,84,101,104,105,107,
108,111,150,155,156,157,158,161,162,163,178,181,185,187,193,200,206,209,210,
212,215,219,220,295,310,321,333,336,347,348,364,367,369,371,374,378,388,417,
419,421,426,436,444,445,505,507,529,530,531,560,592,594,596,599,601,813,835,
880,893,913,921,952,954,956,985,1034,1038,1053,1054,1102,1113,1137,1144,1149,
1415,1462,1501,1569,1603,1606,1610,1886],[1,2,5,6,7,19,20,22,25,35,36,37,38,
44,47,48,49,67,82,83,101,104,107,108,111,125,138,157,161,162,163,164,165,176,
178,179,180,200,203,205,209,210,212,215,219,220,295,316,329,333,336,345,347,
348,364,365,369,371,374,417,419,420,433,434,444,445,500,523,524,529,560,561,
594,595,596,599,601,811,835,883,893,915,930,974,976,977,986,1052,1055,1056,
1057,1103,1107,1137,1144,1147,1420,1463,1503,1568,1602,1607,1611,1887],[1,2,3,
4,5,6,7,15,16,18,19,20,22,24,25,26,28,29,32,33,34,35,36,38,41,43,44,45,47,49,
50,67,69,70,72,73,74,82,84,87,89,93,94,101,103,104,108,119,124,125,126,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,147,151,153,162,164,
167,169,173,177,178,181,182,183,184,185,186,187,188,189,190,191,192,195,200,
201,202,203,216,217,218,286,293,301,306,307,310,312,316,321,323,327,328,337,
338,339,340,341,342,343,347,348,354,355,357,358,369,376,378,381,386,387,397,
403,413,416,417,419,421,436,439,448,449,452,455,456,459,461,462,465,466,467,
471,472,473,480,485,487,488,489,490,495,498,500,502,510,512,513,519,522,523,
534,542,544,545,550,551,552,566,567,568,569,570,571,572,573,574,575,576,577,
578,579,580,581,582,584,585,586,587,588,589,590,712,746,749,756,772,775,788,
791,810,816,821,837,841,842,901,902,906,908,911,917,919,921,925,928,931,933,
936,937,938,940,942,945,947,993,994,996,999,1000,1001,1003,1005,1008,1016,
1018,1021,1026,1029,1031,1039,1042,1047,1059,1067,1085,1089,1099,1423,1434,
1437,1440,1443,1449,1453,1466,1470,1513,1517,1519,1580,1585,1586,1888],[1,2,3,
4,5,6,7,13,14,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,40,41,
42,43,44,45,46,47,48,51,52,68,70,71,72,74,83,85,86,87,88,92,93,94,100,103,105,
110,123,125,126,128,129,130,131,132,133,134,135,136,137,138,140,141,142,143,
148,149,150,154,161,166,167,168,170,174,175,176,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,201,202,203,204,216,217,218,287,294,301,305,
307,311,312,317,322,323,326,327,328,338,339,340,341,342,343,350,351,352,356,
359,360,370,377,379,382,384,385,388,389,398,403,412,414,418,420,423,437,440,
441,446,449,453,455,457,458,460,463,464,465,468,469,470,472,473,478,479,486,
488,489,491,496,497,499,501,503,511,512,514,515,520,521,525,535,536,541,543,
545,548,549,552,567,568,570,571,572,573,574,575,576,577,578,579,580,581,582,
584,585,586,587,588,590,713,747,750,757,758,771,773,789,792,809,817,819,820,
838,840,843,900,903,905,909,910,918,920,922,923,929,932,933,934,935,938,941,
943,946,947,991,995,997,1000,1001,1004,1007,1009,1017,1019,1022,1025,1030,
1033,1040,1043,1049,1060,1068,1083,1090,1097,1098,1422,1433,1436,1438,1442,
1447,1454,1468,1472,1514,1516,1520,1581,1583,1587,1889],[1,3,4,5,6,7,13,14,17,
18,20,21,22,24,26,27,28,29,30,32,34,35,36,37,40,42,43,44,45,46,48,49,51,52,68,
69,70,72,73,83,86,87,88,92,94,100,105,110,123,125,130,131,132,135,136,137,140,
141,142,143,148,149,153,154,162,166,167,168,169,170,174,175,177,180,181,182,
183,186,187,188,190,191,192,193,194,201,202,203,204,216,217,218,287,294,300,
306,312,317,322,326,328,338,339,342,343,350,351,353,355,359,360,370,375,379,
383,384,385,388,389,398,402,411,415,418,420,423,437,440,441,447,454,458,461,
466,468,469,470,478,479,485,487,489,490,491,496,499,501,511,514,515,520,522,
525,535,536,544,551,566,567,572,573,575,576,581,582,584,585,586,588,713,747,
748,757,758,770,774,789,792,808,817,819,820,838,841,843,899,904,907,916,922,
924,929,932,937,941,944,992,995,997,1001,1002,1006,1010,1015,1020,1023,1027,
1028,1032,1041,1044,1048,1060,1068,1084,1091,1097,1098,1421,1432,1435,1439,
1441,1448,1455,1467,1471,1514,1515,1520,1582,1584,1588,1890],[1,2,3,5,7,15,17,
19,22,25,26,29,32,35,36,38,42,44,47,49,52,72,82,84,88,89,91,101,104,105,107,
108,111,119,130,133,150,151,155,156,157,158,161,162,163,169,174,178,193,200,
206,207,209,210,212,219,220,275,286,295,319,333,345,364,374,417,421,426,428,
436,444,445,456,475,479,484,494,505,507,519,529,530,531,534,546,560,592,594,
596,600,602,703,714,791,793,797,813,835,836,913,1034,1038,1053,1054,1058,1065,
1102,1110,1143,1147,1462,1464,1523,1569,1570,1592,1596,1891],[1,2,3,4,5,6,7,
14,15,16,17,20,22,24,25,26,28,29,30,32,33,36,39,40,41,43,44,47,49,50,51,70,71,
72,73,74,81,89,91,93,100,103,112,115,120,128,132,133,135,138,140,147,149,150,
151,153,155,158,161,165,168,171,176,177,181,183,192,195,198,205,207,211,215,
220,268,278,297,304,306,352,353,392,393,395,400,402,404,405,415,429,453,454,
460,461,473,474,475,483,486,487,491,513,521,526,537,546,552,558,583,593,597,
599,602,717,723,769,776,786,806,822,840,912,1014,1045,1046,1050,1087,1091,
1100,1122,1142,1146,1450,1456,1526,1574,1577,1594,1599,1892],[1,3,5,6,7,14,17,
20,22,24,26,29,30,32,35,36,37,39,40,42,45,47,49,51,69,70,72,81,83,91,100,105,
107,110,115,120,126,129,149,151,155,156,158,159,161,162,164,165,167,171,176,
177,182,198,207,210,213,215,220,267,294,297,303,332,346,361,392,394,397,405,
412,414,446,450,451,475,489,493,521,522,526,527,530,558,561,563,583,597,599,
602,697,737,786,801,803,809,839,898,1011,1012,1013,1074,1077,1101,1104,1142,
1148,1424,1431,1528,1578,1579,1595,1598,1893],[1,2,3,5,6,7,19,20,21,22,25,26,
29,31,35,36,37,38,40,44,47,48,49,67,68,82,83,84,85,100,101,104,107,108,111,
116,125,138,141,150,151,157,158,161,162,163,164,165,166,169,178,179,180,200,
203,209,210,212,219,220,266,283,295,316,333,347,348,369,371,433,434,435,436,
444,445,495,497,500,501,519,523,524,525,529,531,534,539,560,561,562,594,595,
596,600,602,727,738,762,763,811,832,835,837,915,1052,1055,1056,1057,1059,1062,
1103,1107,1143,1149,1463,1469,1521,1568,1573,1593,1597,1894],[1,3,4,5,6,12,17,
18,20,21,22,23,27,28,29,34,35,39,40,43,44,45,46,47,48,49,51,52,68,69,73,78,87,
88,94,100,102,125,127,130,131,135,136,137,140,141,142,143,145,146,152,156,160,
164,171,172,176,177,179,180,181,182,183,186,187,188,190,191,192,193,194,201,
202,203,204,206,211,213,216,217,218,280,300,303,304,306,312,317,322,325,326,
328,330,335,338,339,342,343,349,350,351,352,353,356,359,360,363,365,366,367,
373,377,379,380,384,385,395,400,408,409,412,416,418,427,428,435,438,447,454,
458,466,469,470,485,496,501,504,511,527,533,544,551,553,554,566,567,572,573,
575,576,581,582,584,585,586,588,743,745,765,781,782,799,891,899,904,907,916,
922,923,929,932,937,941,944,951,960,961,962,965,975,1001,1004,1007,1010,1017,
1019,1023,1025,1030,1032,1040,1043,1048,1063,1088,1093,1109,1114,1120,1122,
1127,1129,1131,1133,1140,1406,1408,1413,1419,1421,1425,1429,1445,1457,1475,
1477,1482,1581,1584,1587,1895],[1,2,3,4,5,6,7,12,16,17,18,20,21,22,23,24,25,
27,28,29,31,33,34,36,39,40,41,43,44,45,46,48,49,51,52,68,70,71,74,78,85,87,88,
93,94,100,102,103,125,126,127,128,129,130,131,132,133,134,135,136,137,138,140,
141,142,143,145,146,152,155,160,165,171,172,177,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,201,202,203,204,206,211,213,216,217,218,
280,301,303,304,305,307,311,312,317,322,323,325,326,327,328,330,335,338,339,
340,341,342,343,349,350,351,353,354,355,359,360,362,365,366,367,373,375,379,
380,384,385,393,401,408,409,411,415,418,427,428,435,438,446,449,453,455,457,
458,463,464,465,469,470,472,473,486,488,496,497,501,503,504,511,512,526,533,
541,543,545,548,549,552,553,554,567,568,570,571,572,573,574,575,576,577,578,
579,580,581,582,584,585,586,587,588,590,743,745,764,781,782,800,891,900,903,
905,909,910,918,920,922,924,929,932,933,934,935,938,941,943,946,947,951,960,
961,964,967,975,1000,1001,1002,1006,1009,1015,1020,1022,1027,1028,1033,1041,
1044,1049,1063,1087,1093,1109,1114,1118,1121,1127,1129,1131,1133,1138,1405,
1410,1414,1418,1422,1426,1428,1444,1458,1475,1476,1482,1582,1583,1588,1896],[
1,2,3,4,5,6,7,11,16,18,19,20,22,24,25,26,28,29,33,34,36,38,41,43,44,45,47,49,
50,67,70,73,74,76,84,87,93,94,101,103,124,125,126,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,144,150,157,158,163,173,176,177,178,181,182,
183,184,185,186,187,188,189,190,191,192,195,200,201,202,203,205,212,216,217,
218,279,301,302,306,307,310,312,316,321,323,324,327,328,329,333,337,338,339,
340,341,342,343,347,348,354,355,356,357,358,361,364,368,371,376,378,386,395,
399,410,413,414,417,429,433,436,448,449,452,455,456,459,462,465,466,471,472,
473,487,488,495,498,500,502,510,512,528,531,542,544,545,550,551,552,555,566,
567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,584,585,586,
587,588,589,590,742,744,766,780,798,890,901,902,906,908,911,917,919,921,925,
928,931,933,936,937,938,940,942,945,947,950,959,963,966,974,999,1000,1001,
1003,1005,1008,1016,1018,1021,1026,1029,1031,1039,1042,1047,1062,1086,1092,
1107,1113,1119,1123,1128,1130,1132,1139,1407,1409,1412,1417,1423,1427,1430,
1446,1459,1474,1478,1481,1580,1585,1586,1897],[1,2,4,5,11,16,19,22,25,28,38,
44,45,47,50,76,93,101,131,137,139,144,173,176,178,181,185,189,190,191,195,200,
205,212,218,220,279,302,321,324,327,329,333,341,357,358,368,386,410,429,471,
510,555,581,589,596,597,598,780,890,928,931,959,998,1092,1128,1130,1141,1150,
1315,1481,1536,1615,1616,1898],[1,2,3,5,7,11,19,22,24,25,26,29,36,38,43,44,47,
49,70,76,84,101,124,128,130,133,150,151,157,158,161,163,176,177,178,181,183,
185,200,205,207,210,212,215,219,220,279,302,319,321,324,329,332,333,336,344,
345,346,347,348,352,353,362,363,364,371,398,399,413,415,417,421,436,448,456,
519,521,528,531,583,591,593,594,596,597,598,599,600,601,602,744,798,890,926,
930,939,948,954,971,1065,1076,1105,1110,1111,1116,1134,1137,1141,1142,1143,
1144,1145,1146,1147,1148,1149,1150,1151,1473,1479,1536,1589,1590,1591,1601,
1899],[1,5,8,9,19,35,64,82,221,228,233,238,241,265,655,1153,1161,1164,1177,
1900],[1,2,5,8,10,11,19,22,25,38,62,76,101,222,226,228,230,236,243,279,647,
1154,1162,1165,1175,1901],[1,5,6,8,9,19,20,21,64,65,67,68,221,228,229,233,234,
241,242,266,642,643,1152,1153,1166,1170,1171,1902],[1,2,3,6,8,10,11,12,13,15,
23,30,31,62,65,75,90,96,222,226,230,231,232,235,237,239,243,271,645,653,1154,
1155,1167,1169,1172,1178,1903],[1,4,6,7,8,10,21,23,34,37,41,46,48,54,57,59,61,
63,65,109,117,127,160,166,170,214,222,235,237,239,242,248,252,254,257,260,263,
565,604,607,608,617,634,635,659,664,667,672,675,677,680,683,1155,1157,1222,
1245,1617,1624,1628,1904],[1,2,3,4,6,8,10,11,15,16,18,31,34,50,54,59,60,61,62,
63,65,90,99,144,147,197,222,226,230,243,244,245,246,247,252,256,257,258,261,
518,604,607,608,625,640,653,665,666,673,676,681,682,685,1154,1157,1201,1247,
1620,1621,1625,1905],[1,3,5,6,7,8,9,19,24,32,36,37,40,42,43,49,55,56,57,58,64,
65,66,110,114,124,159,163,168,211,221,228,233,240,241,249,250,251,253,254,255,
259,262,564,603,605,606,615,629,636,656,663,668,671,674,678,679,684,1153,1156,
1218,1246,1618,1622,1626,1906],[1,4,6,7,8,9,21,23,34,37,41,46,48,54,56,57,58,
65,66,109,117,127,160,166,170,214,221,229,234,239,242,248,252,254,255,260,263,
565,603,605,606,614,630,637,657,664,667,672,675,677,680,683,1152,1156,1219,
1245,1619,1623,1627,1907],[1,5,6,19,20,35,47,53,67,82,164,178,223,265,374,523,
741,1629,1908],[1,3,5,19,26,29,35,44,47,53,82,84,156,169,178,200,224,265,369,
419,505,534,814,1629,1909],[1,2,5,19,22,25,35,38,53,69,82,101,104,108,111,225,
265,293,295,688,1629,1910],[1,6,8,10,23,53,59,65,222,223,235,237,239,264,608,
687,1155,1251,1911],[1,6,8,9,21,53,56,65,221,223,229,234,242,264,606,687,1152,
1253,1912],[1,2,5,8,11,19,22,25,35,38,69,71,76,82,101,104,108,111,226,228,265,
277,279,281,293,295,688,689,1161,1165,1256,1913],[1,2,3,5,6,10,11,12,13,14,15,
19,20,22,23,25,26,27,29,30,31,32,38,39,40,67,72,75,76,77,78,80,81,84,85,86,89,
90,92,95,96,97,100,101,102,114,115,116,118,119,120,121,122,123,230,232,236,
237,269,271,272,273,274,279,280,283,285,286,287,288,289,290,291,292,297,298,
299,691,692,693,694,1162,1163,1168,1169,1257,1914],[1,5,6,9,19,20,21,35,47,67,
68,82,164,178,215,233,234,238,265,266,336,345,374,433,523,741,762,986,1164,
1166,1185,1258,1915],[1,2,5,9,11,19,22,25,35,38,64,69,71,76,82,101,104,108,
111,233,238,241,265,277,279,281,293,295,650,655,661,688,689,1164,1177,1181,
1256,1649,1916],[1,2,3,5,6,8,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,
38,39,40,65,67,72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,100,101,102,
114,115,116,118,119,120,121,122,123,226,228,239,269,271,272,273,274,279,280,
283,285,286,287,288,289,290,291,292,297,298,299,642,653,656,691,692,693,694,
1165,1178,1184,1257,1650,1917],[1,2,5,10,11,19,22,25,35,38,62,69,71,76,82,101,
104,108,111,230,236,243,265,277,279,281,293,295,644,647,658,688,689,1162,1175,
1176,1256,1651,1918],[1,2,3,5,6,10,11,12,13,14,15,19,20,22,23,25,26,27,29,30,
31,32,38,39,40,62,67,72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,100,101,
102,114,115,116,118,119,120,121,122,123,230,231,235,243,269,271,272,273,274,
279,280,283,285,286,287,288,289,290,291,292,297,298,299,645,647,648,662,691,
692,693,694,1167,1172,1174,1175,1257,1653,1919],[1,5,6,9,19,20,21,35,47,64,67,
68,82,164,178,215,233,234,241,265,266,336,345,374,433,523,655,741,762,986,
1166,1177,1258,1674,1920],[1,5,6,8,19,20,21,35,47,65,67,68,82,164,178,215,228,
242,265,266,336,345,374,433,523,642,741,762,986,1161,1171,1258,1666,1921],[1,
2,3,4,5,10,12,14,16,22,25,26,28,32,47,49,62,63,71,72,73,93,97,150,153,176,177,
219,232,236,244,268,269,344,346,393,394,395,396,460,461,644,646,767,768,769,
989,990,1168,1173,1260,1671,1672,1922],[1,5,6,9,19,20,21,35,47,64,67,68,82,
164,178,215,229,233,241,265,266,336,345,374,433,523,643,655,670,741,762,986,
1170,1177,1240,1258,1923],[1,3,5,9,17,19,26,29,35,44,47,64,82,84,88,91,156,
169,178,200,215,216,227,233,241,265,275,336,337,347,369,419,421,436,505,534,
651,652,655,669,670,793,814,985,994,1177,1180,1240,1241,1259,1924],[1,2,3,5,6,
8,11,15,19,20,21,22,25,26,29,31,32,38,40,44,65,67,68,72,76,80,84,85,89,90,100,
101,114,116,119,121,125,138,141,200,203,226,228,242,266,279,283,286,290,298,
316,378,421,495,497,500,501,642,653,656,691,727,742,788,855,1165,1171,1295,
1650,1667,1925],[1,2,5,7,9,19,22,24,25,35,36,38,49,64,66,69,70,82,101,104,107,
108,111,157,162,163,177,209,233,238,240,265,267,293,295,331,444,445,522,528,
529,560,650,655,660,661,688,736,818,835,889,1164,1182,1301,1649,1673,1926],[1,
2,4,5,10,11,16,19,22,25,28,35,38,45,62,63,69,71,73,76,82,93,101,104,108,111,
131,134,139,182,189,230,236,244,268,277,279,281,293,295,305,376,397,452,471,
485,548,644,646,647,658,689,722,749,766,844,1162,1173,1284,1651,1669,1927],[1,
2,3,4,5,6,7,10,12,16,20,22,23,24,25,27,28,29,33,36,37,39,40,41,42,43,44,62,63,
70,71,73,74,78,79,83,93,100,102,103,105,106,109,110,112,113,128,132,133,135,
138,140,181,183,192,232,236,237,244,268,278,280,282,294,296,306,375,377,398,
453,454,473,486,487,552,644,646,649,659,690,723,748,750,764,765,845,1163,1173,
1285,1652,1668,1670,1928],[1,2,3,4,5,6,8,11,15,16,18,19,20,22,25,26,28,29,31,
32,34,38,40,45,50,54,65,67,72,76,80,84,85,87,89,90,93,94,99,100,101,114,116,
119,121,131,136,139,142,144,147,173,186,189,195,197,202,226,228,252,276,279,
283,286,290,298,311,314,386,410,424,439,458,469,471,498,513,518,541,542,555,
556,620,625,642,653,656,691,702,733,780,821,826,861,884,1165,1189,1201,1302,
1632,1650,1929],[1,2,3,5,6,9,19,20,22,25,26,29,31,35,38,40,44,47,55,56,64,67,
69,82,84,85,100,101,104,108,111,116,125,138,150,156,158,164,169,176,178,200,
205,212,233,238,249,265,283,293,295,329,333,369,371,374,417,419,500,505,508,
523,527,531,534,539,562,622,626,631,650,655,661,688,705,738,741,811,813,814,
815,816,882,883,1164,1212,1223,1314,1633,1638,1649,1930],[1,2,3,5,9,15,19,22,
25,26,29,32,35,38,44,47,55,64,69,72,82,84,89,101,104,108,111,119,130,133,150,
156,158,169,178,181,185,200,212,233,238,251,265,286,293,295,321,333,369,371,
374,378,419,456,467,484,490,494,505,531,534,626,631,650,655,661,688,712,714,
746,754,814,815,880,882,1164,1210,1211,1311,1638,1649,1931],[1,2,5,7,9,19,22,
24,25,35,36,38,49,58,64,69,70,82,101,104,107,108,111,157,162,163,177,209,233,
238,253,265,267,293,295,331,444,445,522,528,529,560,632,636,650,655,661,688,
736,818,835,889,1164,1203,1220,1301,1647,1649,1932],[1,2,4,5,10,11,16,19,22,
25,28,35,38,45,50,61,62,69,71,73,76,82,93,101,104,108,111,131,134,139,144,173,
182,189,195,230,236,246,268,277,279,281,293,295,305,308,386,387,404,410,452,
471,480,485,548,555,619,640,644,647,658,689,722,725,756,780,783,848,850,1162,
1190,1192,1289,1642,1651,1933],[1,3,4,5,6,7,10,12,17,18,20,22,23,24,27,28,29,
33,36,37,39,40,41,42,44,45,51,52,60,61,63,70,73,74,78,79,83,88,94,98,100,102,
103,105,106,109,110,112,113,129,130,131,132,136,137,141,142,145,146,171,172,
174,175,184,186,187,190,193,194,199,232,236,237,247,270,278,280,282,294,296,
307,309,384,385,388,389,406,408,409,455,469,470,472,478,479,481,488,549,550,
551,553,554,559,618,619,638,639,646,649,659,690,724,726,757,758,781,782,784,
785,849,851,1163,1191,1194,1290,1641,1643,1652,1934],[1,2,3,4,5,6,10,11,12,13,
14,15,16,18,20,23,25,26,27,28,29,30,31,32,34,38,39,40,48,50,52,61,62,75,76,77,
78,80,81,85,86,87,89,90,92,93,94,95,96,97,99,102,115,116,118,119,120,121,122,
123,144,145,147,148,152,154,160,172,173,180,193,195,196,197,208,230,231,235,
246,271,272,273,274,276,288,290,291,292,299,314,315,320,390,391,407,431,432,
443,477,513,515,517,518,520,533,547,554,555,556,557,635,640,641,645,647,648,
662,694,704,733,735,787,825,829,831,863,865,888,1167,1192,1193,1196,1306,1644,
1653,1935],[1,2,3,5,6,7,8,11,15,19,20,22,24,25,26,29,31,32,36,37,38,40,42,43,
49,57,65,67,70,72,76,80,83,84,85,89,90,100,101,105,110,114,116,119,121,124,
128,155,157,159,163,165,168,177,179,183,206,211,226,228,254,279,283,286,290,
294,298,304,330,377,383,396,399,411,413,448,451,491,492,506,507,509,524,526,
528,564,615,629,642,653,656,691,698,706,753,759,798,802,874,879,1165,1209,
1218,1310,1639,1650,1936],[1,2,3,4,5,6,7,8,11,15,19,20,22,24,25,26,28,29,31,
32,33,36,38,40,41,43,45,49,54,57,65,67,70,72,73,74,76,80,84,85,89,90,100,101,
103,112,114,116,119,121,124,126,128,129,134,135,139,140,153,157,163,167,177,
182,183,188,201,213,226,228,248,278,279,283,286,290,298,303,322,376,381,399,
401,403,413,446,448,452,454,457,461,462,464,482,489,502,528,538,615,620,629,
642,653,656,691,710,716,752,766,772,775,777,798,852,876,1165,1204,1206,1286,
1631,1639,1650,1937],[1,2,3,5,6,10,11,19,20,22,25,26,29,31,35,38,40,44,47,59,
60,62,67,69,71,76,82,84,85,100,101,104,108,111,116,125,130,133,138,150,158,
164,169,178,181,185,200,212,230,236,256,277,279,281,283,293,295,321,333,369,
371,378,417,419,447,453,456,463,500,523,531,534,539,562,616,618,633,644,647,
658,689,709,738,742,744,746,754,811,816,872,880,1162,1197,1221,1312,1634,1636,
1651,1938],[1,3,4,5,6,7,10,12,20,21,22,23,24,27,28,29,33,34,36,37,39,40,41,42,
44,45,46,48,59,61,63,68,70,73,74,78,79,83,87,100,102,103,105,106,109,110,112,
113,117,125,126,127,131,132,136,137,141,142,143,152,160,166,170,180,184,191,
202,203,204,214,232,236,237,257,278,280,282,284,294,296,323,334,370,372,373,
379,380,418,420,449,455,458,459,465,466,501,503,504,525,533,535,540,565,616,
617,619,634,646,649,659,690,711,739,743,745,747,755,812,817,873,881,1163,1198,
1222,1313,1635,1637,1652,1939],[1,2,3,5,10,11,15,19,22,25,26,29,32,35,38,44,
47,60,62,69,71,72,76,82,84,89,101,104,108,111,119,130,133,150,156,158,169,176,
178,200,205,212,230,236,245,277,279,281,286,293,295,329,333,371,374,378,417,
419,450,456,460,474,484,494,505,531,534,618,633,644,647,658,689,707,714,744,
754,813,815,872,883,1162,1195,1199,1307,1636,1651,1940],[1,2,5,10,11,19,22,25,
35,38,50,62,69,71,76,82,101,104,108,111,195,230,236,261,277,279,281,293,295,
308,386,404,644,647,658,689,848,1162,1224,1268,1651,1941],[1,2,5,9,19,22,25,
35,38,43,49,64,69,82,101,104,108,111,177,183,209,233,238,262,265,293,295,300,
331,399,416,444,445,650,655,661,688,870,889,1164,1228,1271,1649,1942],[1,2,3,
5,6,8,11,15,19,20,22,25,26,29,31,32,38,40,46,65,67,72,76,80,84,85,89,90,100,
101,114,116,119,121,204,226,228,263,279,283,286,290,298,318,379,422,642,653,
656,691,856,1165,1225,1262,1650,1943],[1,3,5,6,9,14,17,20,22,26,29,30,32,35,
39,40,47,51,55,56,64,69,72,81,91,100,115,120,149,151,156,158,164,171,176,198,
207,215,227,238,249,297,392,394,405,412,450,475,527,558,583,622,624,626,627,
650,652,670,786,801,898,1011,1013,1212,1216,1431,1655,1944],[1,3,5,6,9,12,17,
20,21,22,23,27,29,35,39,40,44,46,47,51,55,56,64,68,69,78,88,100,102,125,127,
130,141,143,146,156,164,171,176,181,187,194,203,204,216,227,229,238,249,280,
379,380,384,400,408,412,447,470,501,504,527,553,573,614,621,622,623,626,627,
643,650,651,669,743,782,799,899,1004,1010,1017,1205,1212,1214,1429,1654,
1945],[1,3,5,9,12,14,17,22,26,32,35,44,47,51,55,64,69,72,91,97,146,149,151,
158,169,176,181,198,207,215,227,238,251,269,382,402,405,430,450,475,490,516,
583,623,624,631,650,652,670,778,824,898,1011,1050,1202,1210,1452,1655,1946],[
1,3,5,6,9,13,14,17,20,21,22,26,27,29,30,32,35,40,44,46,51,55,64,68,69,72,86,
88,92,100,123,125,130,141,143,149,169,181,187,194,203,204,216,227,229,238,251,
287,375,379,384,402,423,440,447,470,490,499,501,514,573,621,624,631,643,650,
651,669,774,789,820,899,1010,1028,1041,1188,1200,1210,1439,1654,1947],[1,3,5,
6,7,9,17,20,21,22,24,29,35,36,37,40,42,44,48,49,52,58,64,68,69,70,83,88,100,
105,110,125,130,141,162,166,174,177,180,181,187,193,203,216,227,229,238,253,
294,385,388,411,415,418,420,447,470,479,501,522,525,573,628,630,632,643,650,
651,669,758,808,817,899,1015,1020,1023,1186,1203,1208,1471,1654,1948],[1,2,3,
5,6,9,17,19,20,21,22,25,26,29,31,35,38,40,44,64,67,68,69,71,84,85,88,91,100,
101,111,116,125,130,133,138,141,181,185,187,200,203,216,227,229,238,241,266,
275,277,283,310,316,321,337,447,453,456,463,470,495,497,500,501,543,573,587,
643,650,651,652,661,669,700,709,727,899,909,940,1170,1180,1181,1241,1276,1654,
1949],[1,2,3,5,9,15,17,19,22,25,26,29,32,35,38,47,64,69,71,72,84,88,89,91,101,
111,119,150,151,158,176,178,205,207,215,227,238,241,275,277,286,319,329,336,
450,460,474,475,519,531,546,583,593,650,651,652,661,670,703,707,898,912,939,
1180,1181,1240,1275,1655,1950],[1,3,4,5,6,7,9,17,18,20,21,22,24,28,29,33,34,
35,36,40,41,44,45,64,66,68,69,70,73,74,87,88,94,98,100,103,107,112,117,125,
126,129,130,131,132,136,137,141,142,181,182,184,186,187,190,191,202,203,216,
218,227,229,238,240,267,270,278,284,301,307,323,340,446,447,449,455,458,459,
465,466,469,470,472,485,487,488,501,503,549,550,551,570,571,572,573,577,578,
581,582,643,650,651,654,657,660,669,696,711,724,899,900,903,904,906,947,1179,
1182,1183,1242,1279,1654,1951],[1,2,5,10,11,19,22,25,35,38,45,50,62,69,71,76,
82,101,104,108,111,182,189,195,230,236,258,277,279,281,293,295,305,308,376,
386,387,397,404,410,644,647,658,689,844,848,850,1162,1234,1236,1269,1651,
1952],[1,2,3,5,6,10,11,12,13,14,15,20,23,25,26,27,29,30,31,32,38,39,40,45,48,
50,52,62,75,76,77,78,80,81,85,86,89,90,92,95,96,97,102,115,116,118,119,120,
121,122,123,180,186,189,193,195,196,197,202,208,230,231,235,258,271,272,273,
274,288,290,291,292,299,311,314,315,320,373,390,391,407,409,410,431,432,437,
439,441,443,645,647,648,662,694,859,863,865,884,886,888,1167,1235,1236,1237,
1267,1653,1953],[1,2,5,9,19,22,25,35,38,43,49,64,69,82,101,104,108,111,177,
183,209,233,238,259,265,293,295,300,331,399,416,444,445,650,655,661,688,870,
889,1164,1231,1238,1271,1649,1954],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,31,32,
38,40,48,52,65,67,72,76,80,84,85,89,90,100,101,114,116,119,121,180,193,196,
208,226,228,260,279,283,286,290,298,315,320,385,391,418,426,431,434,642,653,
656,691,862,865,867,1165,1230,1232,1274,1650,1955],[1,3,5,9,17,22,26,32,35,43,
45,47,64,69,72,91,151,158,176,182,183,207,215,227,238,262,300,356,397,403,450,
475,583,650,652,670,898,978,1012,1228,1404,1655,1956],[1,3,5,6,9,17,20,21,22,
29,35,40,43,44,48,49,52,64,68,69,88,100,125,130,141,177,179,180,181,183,187,
193,203,206,216,227,229,238,259,330,353,365,367,377,385,416,418,428,435,447,
470,501,573,643,650,651,669,899,961,962,975,1023,1025,1030,1229,1231,1233,
1413,1654,1957],[1,3,5,7,9,17,22,24,26,32,35,36,47,49,58,64,69,70,72,91,151,
158,159,161,162,176,177,207,215,220,227,238,253,346,450,451,475,521,522,583,
597,599,602,632,650,652,670,839,898,1101,1142,1148,1203,1239,1595,1655,1958],[
1,3,5,9,17,22,26,32,35,43,47,49,64,69,72,91,151,158,176,177,183,207,215,219,
220,227,238,259,344,352,383,416,450,475,583,597,600,601,650,652,670,898,987,
1101,1145,1146,1231,1243,1608,1655,1959],[1,3,5,7,9,17,22,24,26,32,35,36,45,
47,64,66,69,70,72,91,107,151,158,167,176,182,207,215,227,238,240,267,397,414,
450,475,489,583,650,652,660,670,803,898,1012,1182,1424,1655,1960],[1,3,4,5,6,
9,17,18,20,21,22,28,29,34,35,40,43,44,45,64,68,69,73,87,88,94,100,125,130,131,
135,136,137,140,141,142,181,182,183,186,187,188,190,191,192,201,202,203,216,
217,218,227,229,238,262,300,306,312,317,322,326,328,338,339,342,343,447,454,
458,466,469,470,485,496,501,511,544,551,566,567,572,573,575,576,581,582,584,
585,586,588,643,650,651,669,899,904,907,916,932,937,941,944,1001,1226,1227,
1228,1244,1421,1654,1961],[1,2,4,5,6,10,11,16,19,20,22,25,28,34,38,44,45,50,
59,61,63,67,73,76,87,93,101,125,131,134,137,138,139,142,144,173,182,189,190,
191,195,200,202,218,230,236,257,279,376,378,386,410,452,466,471,498,500,545,
555,572,589,590,616,619,640,646,742,766,780,908,1029,1039,1047,1162,1198,1446,
1634,1642,1669,1962],[1,2,3,5,6,10,12,17,20,21,22,23,25,27,29,31,39,40,44,46,
51,59,60,62,68,71,78,85,88,100,102,125,127,130,133,138,141,143,146,171,181,
185,187,194,203,204,216,232,236,237,256,280,375,379,380,384,408,453,463,470,
497,501,504,543,553,573,587,616,617,618,638,644,743,764,782,909,1028,1041,
1049,1163,1197,1444,1635,1643,1668,1963],[1,3,4,5,6,10,12,18,20,21,22,23,27,
28,29,34,39,40,43,44,45,46,52,59,61,63,68,73,78,87,94,100,102,125,127,131,135,
137,140,141,142,143,145,172,183,186,191,192,193,201,203,204,217,232,236,237,
257,280,377,379,380,385,409,454,466,469,496,501,504,544,554,575,585,588,616,
617,619,639,646,743,765,781,907,1030,1040,1048,1163,1198,1445,1635,1641,1670,
1964],[1,2,3,4,5,10,11,16,18,19,22,25,26,28,29,38,44,45,47,50,60,61,63,73,76,
84,93,94,101,130,131,133,134,136,137,139,144,150,158,173,178,182,186,189,190,
191,195,200,218,230,236,247,279,371,376,386,410,417,452,456,471,512,531,542,
551,555,568,582,589,618,619,633,640,646,744,766,780,917,1026,1031,1042,1162,
1191,1459,1636,1642,1669,1965],[1,2,3,4,5,6,10,12,16,18,20,22,23,25,27,28,29,
34,39,40,44,45,48,52,61,62,71,78,87,93,94,100,102,131,133,134,136,137,138,142,
145,152,160,172,180,181,186,189,190,191,193,202,218,232,236,237,246,280,373,
375,385,409,418,453,458,469,512,533,545,548,554,568,581,590,619,634,639,644,
745,764,781,918,1027,1033,1044,1163,1190,1458,1637,1641,1668,1966],[1,3,4,5,6,
10,12,17,18,20,22,23,27,28,29,34,39,40,43,44,45,48,51,60,61,63,73,78,87,88,94,
100,102,130,131,135,136,137,140,141,146,152,160,171,180,183,187,188,190,192,
194,202,217,232,236,237,247,280,373,377,384,408,418,454,458,470,511,533,544,
551,553,567,576,586,618,619,634,638,646,745,765,782,916,1025,1032,1043,1163,
1191,1457,1637,1643,1670,1967],[1,2,3,5,10,12,14,15,17,22,25,26,32,47,51,60,
62,71,72,89,91,97,146,149,150,151,158,176,198,205,207,215,232,236,245,269,394,
405,430,460,474,475,516,546,583,593,633,638,644,767,824,912,1013,1045,1168,
1195,1451,1645,1671,1968],[1,5,6,7,8,19,20,35,36,37,47,49,57,65,67,82,83,107,
161,162,163,164,165,178,179,209,210,219,228,254,265,374,445,523,524,560,561,
594,595,629,642,741,818,915,1052,1053,1161,1209,1460,1640,1666,1969],[1,2,4,5,
6,8,11,16,19,20,22,25,28,34,38,44,45,50,54,65,67,73,76,87,93,101,125,131,134,
137,138,139,142,144,173,182,189,190,191,195,200,202,218,226,228,252,279,376,
378,386,410,452,466,471,498,500,545,555,572,589,590,620,625,642,742,766,780,
908,1029,1039,1047,1165,1189,1446,1631,1632,1667,1970],[1,2,4,5,6,7,8,11,16,
19,20,22,24,25,28,36,38,41,43,44,45,49,50,54,57,65,67,70,76,93,101,103,124,
125,126,128,131,132,138,139,140,144,157,163,173,177,183,184,189,192,195,200,
201,217,226,228,248,279,378,386,399,410,413,448,449,471,473,500,502,528,555,
569,574,575,615,620,625,629,642,742,780,798,901,1003,1008,1016,1165,1204,1430,
1632,1639,1667,1971],[1,5,6,7,9,19,20,35,36,37,47,49,56,58,66,67,82,83,107,
161,162,163,164,165,178,179,209,210,219,233,238,255,265,374,445,523,524,560,
561,594,595,622,632,636,660,741,818,915,1052,1053,1164,1217,1460,1633,1647,
1673,1972],[1,3,5,7,9,19,26,29,35,36,42,44,47,49,55,58,66,82,84,105,107,155,
156,161,162,163,169,178,200,206,209,210,219,233,238,250,265,369,419,445,505,
507,530,534,560,592,594,626,631,632,636,660,814,818,913,1054,1055,1164,1213,
1461,1638,1647,1673,1973],[1,5,6,7,9,19,20,21,35,36,37,47,48,49,58,64,67,68,
82,83,107,161,162,163,164,165,166,178,179,180,209,210,219,233,234,253,266,433,
434,435,523,524,525,560,561,594,595,636,637,655,762,763,915,1056,1057,1166,
1220,1469,1648,1674,1974],[1,5,6,8,19,20,35,47,48,65,67,82,164,178,180,220,
228,260,265,374,434,523,596,642,741,1056,1103,1161,1232,1572,1666,1975],[1,5,
6,9,19,20,21,35,47,49,64,67,68,82,164,178,209,220,233,234,259,266,433,445,523,
596,655,762,1052,1103,1166,1238,1573,1674,1976],[1,2,3,5,10,12,14,22,25,26,32,
47,50,62,71,72,97,150,176,195,220,232,236,258,269,394,404,460,597,644,767,
1046,1100,1168,1234,1576,1671,1977],[1,2,5,10,11,19,22,25,38,44,47,62,76,101,
176,178,181,185,200,205,212,230,243,279,302,321,324,329,333,647,890,998,1175,
1315,1675,1978],[1,2,5,10,11,25,38,44,45,47,50,62,76,185,189,195,205,212,218,
220,230,258,324,341,358,368,410,598,647,998,1130,1150,1236,1615,1675,1979],[1,
2,5,9,19,22,25,35,38,44,47,64,69,71,101,111,178,200,212,215,216,238,241,277,
333,336,337,348,364,371,378,417,650,661,669,670,872,1132,1137,1181,1240,1241,
1316,1980],[1,3,5,7,9,19,26,29,35,36,42,47,49,58,64,82,84,105,107,151,155,156,
161,162,163,178,206,209,210,219,220,233,253,345,505,507,519,530,560,592,594,
596,600,602,636,655,836,913,1102,1143,1147,1185,1220,1592,1676,1708,1981],[1,
3,5,9,19,26,29,35,47,49,52,64,82,84,151,156,178,193,209,233,259,345,426,445,
505,519,655,836,1034,1054,1185,1238,1596,1676,1982],[1,3,5,9,19,26,29,35,44,
47,64,82,84,151,156,169,178,187,200,233,241,265,310,345,348,369,419,421,505,
519,534,655,814,836,892,952,1067,1177,1185,1318,1676,1707,1983],[1,2,4,5,10,
11,16,25,28,38,44,47,50,61,62,76,93,137,144,173,185,195,205,212,220,230,246,
324,358,429,510,555,598,640,647,998,1092,1150,1192,1616,1675,1984],[1,3,4,5,6,
7,9,19,20,21,23,24,27,28,30,32,33,34,36,37,39,40,41,42,43,45,46,48,49,55,56,
58,64,66,67,68,83,86,87,102,103,106,109,110,112,113,114,115,117,124,126,127,
139,140,142,143,152,153,154,159,160,163,165,166,167,168,170,179,180,201,202,
204,211,213,214,229,240,241,249,250,251,253,255,259,262,266,284,285,296,317,
318,334,335,349,350,351,370,372,373,434,435,437,438,496,498,499,502,503,504,
520,524,525,532,533,535,536,537,538,540,563,564,565,614,621,630,643,657,663,
668,671,674,678,679,684,728,729,739,740,763,812,833,834,838,1060,1061,1063,
1064,1108,1109,1170,1183,1188,1205,1207,1208,1219,1226,1233,1246,1522,1656,
1659,1681,1683,1694,1696,1705,1985],[1,3,4,5,6,7,8,19,20,21,23,24,27,28,30,32,
33,34,36,37,39,40,41,42,43,45,46,48,49,54,57,65,67,68,83,86,87,102,103,106,
109,110,112,113,114,115,117,124,126,127,139,140,142,143,152,153,154,159,160,
163,165,166,167,168,170,179,180,201,202,204,211,213,214,228,239,242,248,252,
254,260,263,266,284,285,296,317,318,334,335,349,350,351,370,372,373,434,435,
437,438,496,498,499,502,503,504,520,524,525,532,533,535,536,537,538,540,563,
564,565,615,620,629,642,656,664,667,672,675,677,680,683,728,729,739,740,763,
812,833,834,838,1060,1061,1063,1064,1108,1109,1171,1184,1189,1204,1206,1209,
1218,1225,1232,1245,1522,1657,1658,1680,1684,1693,1697,1704,1986],[1,2,3,5,6,
7,9,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,55,56,58,64,
66,69,70,71,72,80,83,100,101,105,107,110,111,114,116,119,121,124,128,133,138,
150,155,156,157,159,161,162,163,164,165,168,169,176,177,181,183,210,211,212,
238,240,241,249,250,251,253,255,259,262,267,277,294,298,300,302,304,332,352,
353,363,377,383,393,398,399,415,416,448,451,453,460,484,486,490,491,492,521,
522,526,527,528,530,539,561,564,622,626,631,632,650,660,661,663,668,671,674,
678,679,684,695,698,718,737,750,753,804,807,840,1076,1080,1084,1087,1116,1120,
1181,1182,1203,1210,1211,1212,1213,1217,1223,1228,1231,1246,1532,1660,1663,
1678,1682,1687,1698,1702,1987],[1,2,3,4,5,6,10,11,15,16,18,20,22,25,26,28,29,
31,32,34,35,38,40,44,45,47,50,59,60,61,62,63,71,73,76,80,85,87,89,90,93,94,99,
104,108,111,116,119,121,125,130,131,133,134,136,137,138,142,144,147,150,156,
158,164,169,173,185,189,190,191,195,197,205,212,236,243,244,245,246,247,256,
257,258,261,268,276,281,290,308,314,324,327,357,358,368,387,404,410,424,429,
439,463,466,467,474,480,484,494,508,510,512,513,518,539,541,545,548,551,555,
556,562,616,618,619,633,644,646,658,665,666,673,676,681,682,685,719,725,732,
733,783,796,822,826,842,1069,1092,1094,1099,1124,1128,1173,1176,1190,1191,
1195,1197,1198,1199,1221,1224,1234,1247,1533,1662,1664,1677,1685,1688,1690,
1703,1988],[1,3,4,5,6,7,9,12,13,14,17,18,19,24,26,27,28,29,30,32,33,36,37,39,
40,41,42,43,45,49,51,52,55,56,58,64,66,74,78,79,81,84,88,91,92,94,97,98,105,
106,110,112,113,114,120,123,124,129,135,136,139,145,146,148,149,153,155,159,
163,167,168,171,172,174,175,186,188,193,194,198,199,206,211,213,227,240,241,
249,250,251,253,255,259,262,270,275,282,289,309,313,325,326,359,360,366,389,
406,409,426,427,428,441,462,468,476,478,479,481,483,493,507,511,514,515,516,
538,542,549,553,554,558,559,564,623,624,627,628,651,652,654,663,668,671,674,
678,679,684,720,726,730,734,785,797,823,828,843,1071,1093,1095,1098,1126,1127,
1179,1180,1186,1187,1200,1202,1214,1215,1216,1227,1229,1246,1535,1661,1665,
1679,1686,1695,1699,1706,1989],[1,4,6,7,8,9,10,34,37,46,54,56,57,58,59,61,63,
65,66,170,221,222,252,254,255,257,263,603,604,605,606,607,608,675,686,1156,
1157,1248,1249,1250,1711,1712,1713,1990],[1,2,3,6,10,11,12,13,15,23,30,31,53,
59,60,62,75,90,96,223,224,225,235,243,245,256,271,609,610,611,645,665,1158,
1172,1251,1714,1991],[1,2,3,6,10,11,13,14,15,27,30,31,39,53,59,60,62,77,90,95,
118,122,223,224,225,231,243,245,256,272,609,610,611,648,662,665,1158,1174,
1252,1715,1716,1992],[1,5,8,19,35,53,82,228,264,265,1161,1629,1993],[1,2,3,4,
6,10,13,16,18,31,34,39,52,53,59,60,61,62,63,77,99,148,172,196,223,224,225,231,
244,246,247,256,257,557,611,613,641,648,666,1159,1193,1252,1715,1718,1994],[1,
2,3,4,6,10,16,18,23,30,31,34,48,53,59,60,61,62,63,75,99,154,160,208,223,224,
225,235,244,246,247,256,257,477,611,612,635,645,666,1160,1196,1251,1714,1719,
1995],[1,2,3,6,10,23,30,31,50,52,53,59,60,62,75,196,197,223,224,225,235,256,
258,261,407,611,613,645,673,1159,1235,1251,1714,1996],[1,2,3,6,10,13,31,39,48,
50,53,59,60,62,77,197,208,223,224,225,231,256,258,261,390,611,612,648,673,
1160,1237,1252,1715,1997],[1,2,3,6,8,11,15,31,48,52,53,65,90,196,208,223,224,
225,226,260,264,431,609,610,611,612,613,653,687,1158,1159,1160,1230,1254,1255,
1630,1717,1998],[1,2,3,5,6,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,
38,39,40,44,47,67,69,71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,
100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,133,138,
150,156,158,164,169,176,178,181,185,200,205,212,265,269,271,272,273,274,277,
279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,321,
324,329,333,369,371,374,375,378,382,394,400,402,412,417,419,447,450,453,456,
460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,688,689,691,
692,693,694,699,705,707,709,712,714,718,719,738,741,742,744,746,751,754,761,
764,767,771,774,776,778,799,801,811,813,814,815,816,846,853,872,875,877,880,
882,883,890,998,1256,1257,1287,1291,1293,1307,1308,1311,1312,1314,1315,1378,
1379,1381,1726,1727,1810,1999],[1,2,3,5,6,11,15,17,19,20,21,22,25,26,29,31,32,
35,38,40,44,47,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,
114,116,119,121,125,130,133,138,141,150,151,156,158,164,169,176,178,181,185,
187,200,203,205,207,212,215,216,265,266,275,277,279,281,283,286,290,293,295,
298,302,310,316,319,321,324,329,333,336,337,345,347,348,364,369,371,374,378,
417,419,421,433,436,447,450,453,456,460,463,467,470,474,475,484,490,494,495,
497,500,501,505,508,519,523,527,531,534,539,543,546,562,573,583,587,593,688,
689,691,699,700,703,705,707,709,712,714,718,719,727,738,741,742,744,746,754,
762,788,791,793,811,813,814,815,816,832,836,837,855,858,866,872,880,882,883,
890,892,893,898,899,909,912,921,930,939,940,950,952,954,974,976,984,985,986,
994,1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1256,1258,
1259,1275,1276,1295,1297,1307,1311,1312,1314,1316,1318,1322,1323,1325,1378,
1381,1383,1389,1391,1395,1473,1474,1501,1502,1503,1513,1518,1521,1523,1524,
1545,1546,1559,1561,1562,1564,1726,1745,1746,1758,1759,1856,2000],[1,2,3,4,5,
6,7,11,12,13,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,
39,40,41,42,43,44,45,47,49,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,89,90,92,93,95,96,97,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,118,119,120,121,122,123,124,125,126,128,129,130,131,132,
133,134,135,138,139,140,150,153,155,156,157,158,159,161,162,163,164,165,167,
168,169,176,177,178,179,181,182,183,184,185,188,189,192,200,201,205,206,209,
210,211,212,213,217,219,267,268,269,271,272,273,274,277,278,279,280,281,282,
283,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,321,322,324,325,329,330,331,332,333,335,339,344,346,352,353,
354,355,356,361,362,363,375,376,377,381,382,383,393,394,395,396,397,398,399,
400,401,402,403,411,412,413,414,415,416,446,447,448,449,450,451,452,453,454,
456,457,460,461,462,463,464,467,468,471,473,474,476,482,483,484,485,486,487,
488,489,490,491,492,493,494,500,502,505,506,507,508,509,521,522,523,524,526,
527,528,529,530,531,532,534,536,537,538,539,548,552,560,561,562,563,564,569,
574,575,576,579,580,591,592,594,595,689,690,691,692,693,694,695,696,697,698,
699,705,706,707,708,709,710,712,713,714,715,716,717,718,719,720,721,722,723,
736,737,738,740,748,749,750,751,752,753,759,760,761,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,798,799,800,801,802,803,804,805,806,
807,808,809,810,839,840,841,844,845,846,847,852,853,854,868,869,870,871,874,
875,876,877,878,879,890,891,894,895,896,897,901,902,905,913,914,915,923,924,
925,926,927,944,945,946,948,949,962,963,964,965,966,967,968,969,970,971,972,
973,978,979,980,981,987,988,989,990,991,992,993,1074,1075,1076,1077,1078,1079,
1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1104,1105,1106,
1115,1116,1117,1118,1119,1120,1121,1122,1123,1134,1135,1136,1138,1139,1140,
1257,1260,1261,1278,1283,1284,1285,1286,1287,1288,1291,1292,1293,1294,1299,
1300,1308,1309,1310,1317,1319,1320,1321,1326,1327,1328,1329,1379,1380,1381,
1382,1385,1386,1387,1388,1397,1398,1399,1400,1401,1476,1477,1478,1479,1480,
1504,1505,1506,1507,1508,1509,1510,1511,1512,1515,1516,1517,1526,1527,1528,
1529,1530,1531,1532,1539,1540,1541,1542,1543,1544,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1727,1728,1747,1748,1749,1756,1757,1763,
1764,1853,1854,1855,2001],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,
44,46,47,51,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,
121,125,130,133,138,150,156,158,164,169,176,178,181,185,194,198,200,204,205,
212,265,277,279,281,283,286,290,293,295,298,302,313,318,321,324,329,333,369,
371,374,378,379,384,405,417,419,422,425,442,447,450,453,456,460,463,467,474,
484,490,494,500,505,508,523,527,531,534,539,562,688,689,691,699,705,707,709,
712,714,718,719,738,741,742,744,746,754,811,813,814,815,816,856,860,872,880,
882,883,887,890,1010,1011,1037,1045,1049,1051,1256,1262,1264,1307,1311,1312,
1314,1334,1345,1350,1357,1378,1381,1726,1781,1782,2002],[1,2,3,5,6,11,12,13,
14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,49,50,67,69,71,72,75,
76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,
116,118,119,120,121,122,123,125,130,133,138,150,156,158,164,169,176,177,178,
181,185,195,200,205,209,212,269,271,272,273,274,277,279,280,281,283,285,286,
287,288,289,290,291,292,293,295,297,298,299,302,308,321,324,329,331,333,375,
382,386,393,394,400,402,404,412,413,444,445,447,450,453,456,460,463,467,474,
484,490,494,500,505,508,523,527,531,534,539,562,689,691,692,693,694,699,705,
707,709,712,714,718,719,738,751,761,764,767,771,774,776,778,799,801,846,848,
853,868,875,877,889,890,1005,1014,1016,1024,1052,1054,1257,1268,1270,1287,
1291,1293,1308,1368,1372,1374,1377,1379,1381,1727,1777,1784,2003],[1,2,3,5,6,
11,15,19,20,22,25,26,29,31,32,35,38,40,44,45,46,47,49,50,51,67,69,71,72,76,80,
82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,
158,164,169,176,177,178,181,182,185,189,194,195,198,200,204,205,209,212,277,
279,281,283,286,290,293,295,298,302,305,308,313,318,321,324,329,331,333,376,
379,384,386,387,393,397,404,405,410,413,422,425,442,444,445,447,450,453,456,
460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,689,691,699,
705,707,709,712,714,718,719,738,844,848,850,856,860,868,887,889,890,1010,1012,
1024,1029,1037,1042,1046,1049,1052,1054,1262,1264,1269,1270,1332,1333,1345,
1348,1357,1368,1377,1381,1780,1782,1784,2004],[1,2,3,5,6,11,15,19,20,22,25,26,
29,31,32,35,38,40,44,47,48,49,50,51,52,67,69,71,72,76,80,82,84,85,89,90,100,
101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,176,177,
178,180,181,185,193,194,195,196,198,200,205,208,209,212,277,279,281,283,286,
290,293,295,298,302,308,313,315,320,321,324,329,331,333,384,385,386,391,393,
404,405,413,418,425,426,431,434,442,444,445,447,450,453,456,460,463,467,474,
484,490,494,500,505,508,523,527,531,534,539,562,689,691,699,705,707,709,712,
714,718,719,738,848,860,862,865,867,868,887,889,890,1005,1011,1014,1016,1023,
1033,1034,1045,1051,1056,1264,1268,1270,1274,1334,1350,1352,1354,1360,1372,
1374,1381,1777,1778,1781,2005],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,22,24,
25,26,28,29,31,32,33,34,35,36,38,40,41,43,44,45,47,49,50,67,68,69,70,71,72,73,
74,76,80,82,84,85,87,88,89,90,91,93,94,98,99,100,101,103,104,107,108,111,112,
114,116,117,119,121,124,125,126,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,144,147,150,151,153,156,157,158,162,163,164,167,169,173,176,
177,178,181,182,183,184,185,186,187,188,189,190,191,192,195,197,200,201,202,
203,205,207,209,212,213,216,217,218,266,267,268,270,275,276,277,278,279,281,
283,284,286,290,293,295,298,300,301,302,303,305,306,307,308,310,311,312,314,
316,317,319,321,322,323,324,326,327,328,329,331,333,337,338,339,340,341,342,
343,347,348,354,355,356,357,358,361,364,368,369,371,376,378,381,386,387,393,
395,397,399,401,403,404,410,413,414,416,417,419,421,424,429,433,436,439,446,
447,448,449,450,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,
467,469,470,471,472,473,474,475,480,482,484,485,486,487,488,489,490,494,495,
496,497,498,500,501,502,503,505,508,510,511,512,513,518,519,522,523,527,528,
529,531,534,538,539,541,542,543,544,545,546,548,549,550,551,552,555,556,560,
562,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,584,
585,586,587,588,589,590,689,691,695,696,699,700,701,702,703,705,707,709,710,
711,712,714,716,718,719,722,723,724,725,727,729,730,731,732,733,736,738,742,
744,746,749,752,754,756,762,766,769,772,775,777,780,783,788,791,793,796,798,
803,805,807,810,811,816,821,822,826,832,837,841,842,844,848,850,852,855,858,
861,866,868,870,872,876,880,884,890,899,900,901,902,903,904,905,906,907,908,
909,910,911,916,917,918,919,920,921,925,928,931,932,933,934,935,936,937,938,
940,941,942,943,944,945,946,947,950,952,954,958,959,963,966,973,974,976,978,
980,982,993,994,996,999,1000,1001,1003,1005,1008,1016,1018,1021,1026,1029,
1031,1039,1042,1047,1059,1062,1065,1067,1069,1072,1074,1081,1085,1086,1088,
1089,1090,1092,1094,1099,1107,1111,1113,1117,1119,1121,1123,1124,1128,1130,
1132,1139,1276,1277,1278,1279,1280,1281,1282,1284,1286,1289,1295,1297,1299,
1302,1312,1323,1328,1330,1336,1338,1341,1344,1346,1348,1361,1364,1365,1370,
1372,1375,1381,1383,1385,1387,1389,1392,1395,1397,1402,1407,1409,1412,1417,
1421,1422,1423,1427,1430,1434,1437,1440,1443,1446,1449,1453,1459,1466,1470,
1474,1478,1481,1513,1517,1519,1521,1524,1527,1530,1533,1555,1558,1559,1562,
1565,1580,1585,1586,1731,1735,1736,1742,1744,1759,1761,1763,1804,1806,1808,
1822,1825,1830,1831,1888,1897,2006],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,
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,
47,48,49,51,52,67,68,69,70,71,72,73,74,75,77,78,79,80,81,83,84,85,86,87,88,91,
92,93,94,95,96,97,98,99,100,101,102,103,105,106,107,109,110,111,112,113,114,
115,116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,145,146,148,149,150,152,153,154,155,156,
157,159,160,161,162,163,164,165,166,167,168,169,170,171,172,174,175,176,177,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,198,199,
200,201,202,203,204,206,208,210,211,212,213,214,216,217,218,266,267,268,270,
275,276,277,278,280,282,283,284,285,287,288,289,291,292,294,296,297,298,299,
300,301,302,303,304,305,306,307,309,310,311,312,313,315,316,317,318,320,321,
322,323,325,326,327,328,330,332,334,335,337,338,339,340,341,342,343,349,350,
351,352,353,354,355,356,359,360,362,363,365,366,367,370,372,373,375,377,379,
380,382,383,384,385,388,389,393,395,398,399,400,401,402,403,406,408,409,411,
412,414,415,416,418,420,422,423,425,426,427,428,434,435,437,438,440,441,446,
447,448,449,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,
468,469,470,471,472,473,476,477,478,479,481,482,483,484,485,486,487,488,489,
490,491,492,493,495,496,497,498,499,500,501,502,503,504,506,507,509,510,511,
512,514,515,516,517,520,521,522,524,525,526,527,528,530,532,533,535,536,537,
538,539,540,541,542,543,544,545,547,548,549,550,551,552,553,554,557,558,559,
561,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,
581,582,584,585,586,587,588,589,590,690,692,695,696,697,698,700,701,702,704,
706,708,709,710,711,713,715,716,717,718,720,721,722,723,724,726,727,728,729,
730,731,732,734,735,737,739,740,743,745,747,748,750,751,753,755,757,758,763,
764,765,769,770,771,773,774,776,777,781,782,784,785,789,790,792,794,795,797,
799,800,804,805,806,807,808,809,812,817,819,820,823,827,828,833,834,838,840,
841,843,845,849,851,853,854,856,857,859,860,862,867,869,871,873,874,875,881,
885,886,891,899,900,901,902,903,904,905,906,907,908,909,910,911,916,917,918,
919,920,922,923,924,929,931,932,933,934,935,936,937,938,940,941,942,943,944,
945,946,947,951,953,955,956,957,960,961,962,964,965,967,971,972,975,977,979,
981,983,991,992,995,997,999,1000,1001,1002,1004,1006,1007,1009,1010,1015,1017,
1019,1020,1022,1023,1025,1027,1028,1030,1032,1033,1040,1041,1043,1044,1048,
1049,1060,1061,1063,1064,1066,1068,1070,1071,1073,1075,1076,1080,1082,1083,
1084,1086,1087,1088,1089,1090,1091,1093,1095,1096,1097,1098,1108,1109,1112,
1114,1115,1116,1118,1120,1121,1122,1123,1125,1126,1127,1129,1131,1133,1138,
1140,1276,1277,1278,1279,1280,1281,1282,1285,1287,1288,1290,1296,1298,1300,
1303,1304,1313,1324,1329,1331,1335,1337,1339,1340,1342,1343,1345,1347,1349,
1359,1360,1362,1363,1366,1367,1371,1373,1376,1382,1384,1386,1388,1390,1393,
1394,1396,1398,1399,1403,1405,1406,1408,1410,1413,1414,1418,1419,1421,1422,
1423,1425,1426,1428,1429,1432,1433,1435,1436,1438,1439,1441,1442,1444,1445,
1447,1448,1454,1455,1457,1458,1467,1468,1471,1472,1475,1476,1477,1482,1514,
1515,1516,1520,1522,1525,1526,1527,1531,1532,1534,1535,1553,1554,1556,1557,
1560,1563,1566,1567,1581,1582,1583,1584,1587,1588,1732,1733,1734,1737,1740,
1741,1744,1760,1762,1764,1805,1807,1809,1823,1824,1826,1828,1829,1832,1889,
1890,1895,1896,2007],[1,2,3,5,6,11,15,17,19,20,21,22,25,26,29,31,32,35,38,40,
44,47,51,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,114,
116,119,121,125,130,133,138,141,150,151,156,158,164,169,176,178,181,185,187,
194,198,200,203,205,207,212,216,266,275,277,279,281,283,286,290,293,295,298,
302,310,313,316,319,321,324,329,333,337,347,348,364,369,371,374,375,378,382,
384,394,400,402,405,412,417,419,421,425,433,436,442,447,450,453,456,460,463,
467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,527,531,534,539,
543,546,562,573,587,689,691,699,700,703,705,707,709,712,714,718,719,727,738,
742,744,746,754,762,788,791,793,811,816,832,837,846,853,855,858,860,866,872,
875,877,880,882,883,887,890,899,909,921,940,950,952,954,974,976,994,998,1011,
1013,1017,1028,1045,1050,1051,1059,1062,1065,1067,1072,1107,1111,1113,1132,
1264,1276,1295,1297,1312,1315,1323,1334,1350,1351,1366,1378,1379,1381,1383,
1389,1395,1474,1492,1493,1513,1521,1524,1559,1562,1759,1767,1771,1781,1810,
2008],[1,2,3,5,6,11,15,17,19,20,22,25,26,29,31,32,35,38,40,44,46,47,51,67,69,
71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,114,116,119,121,125,130,
133,138,141,150,151,156,158,164,169,176,178,181,185,187,194,198,200,204,205,
207,212,215,275,277,279,281,283,286,290,293,295,298,302,310,313,318,319,321,
324,329,333,336,345,347,348,364,369,371,374,375,378,379,382,384,394,400,402,
405,412,417,419,421,422,425,433,436,442,447,450,453,456,460,463,467,470,474,
475,484,490,494,495,500,505,508,519,523,527,531,534,539,543,546,562,583,593,
689,691,699,700,703,705,707,709,712,714,718,719,738,744,754,788,791,793,813,
815,832,836,837,846,853,856,858,860,866,872,875,877,880,882,883,887,890,898,
912,930,939,950,954,974,984,985,986,998,1004,1010,1013,1037,1041,1049,1050,
1058,1062,1065,1067,1072,1110,1111,1113,1137,1262,1264,1275,1297,1307,1315,
1325,1335,1345,1351,1357,1378,1379,1381,1391,1395,1473,1493,1497,1518,1523,
1524,1561,1564,1758,1769,1771,1782,1810,2009],[1,2,3,4,5,6,7,11,15,16,19,20,
22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,47,49,67,69,70,71,72,73,74,
76,80,82,84,85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,124,
125,126,128,129,130,131,132,133,134,135,138,139,140,150,153,156,157,158,162,
163,164,167,169,176,177,178,181,182,183,184,185,188,189,192,200,201,205,209,
212,213,217,267,268,277,278,279,281,283,286,290,293,295,298,300,301,302,303,
305,306,321,322,324,329,331,333,339,354,355,356,361,369,371,374,375,376,378,
381,382,393,394,395,397,399,400,401,402,403,412,413,414,416,417,419,444,445,
446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,471,473,474,
482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,527,528,529,531,
534,538,539,548,552,560,562,569,574,575,576,579,580,689,691,695,696,699,705,
707,709,710,712,714,716,718,719,722,723,736,738,749,752,766,769,772,775,777,
798,803,805,807,810,841,844,846,852,853,868,870,872,875,876,877,880,882,883,
889,890,901,902,905,925,944,945,946,963,966,973,978,980,993,998,1003,1018,
1024,1052,1053,1054,1055,1074,1081,1085,1086,1088,1089,1090,1117,1119,1121,
1123,1139,1270,1278,1284,1286,1299,1315,1328,1368,1369,1370,1377,1378,1379,
1381,1385,1387,1397,1478,1484,1500,1517,1527,1530,1555,1558,1763,1765,1776,
1784,1810,2010],[1,2,3,5,6,7,11,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,
42,43,44,47,49,50,67,69,70,71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,
108,110,111,114,116,119,121,124,125,128,130,133,138,150,155,156,157,158,159,
161,162,163,164,165,168,169,176,177,178,179,181,183,185,195,200,205,206,209,
210,211,212,219,267,277,279,281,283,286,290,293,294,295,298,300,302,304,308,
321,324,329,330,331,332,333,344,346,352,353,362,363,369,371,374,375,377,378,
382,383,386,393,394,396,398,399,400,402,404,411,412,413,415,416,417,419,444,
445,447,448,450,451,453,456,460,463,467,474,484,486,490,491,492,494,500,505,
506,507,508,509,521,522,523,524,526,527,528,529,530,531,534,539,560,561,562,
564,591,592,594,595,689,691,695,698,699,705,706,707,709,712,714,718,719,736,
737,738,750,753,759,798,802,804,807,808,810,839,840,846,848,853,868,870,872,
874,875,877,879,880,882,883,889,890,913,914,915,926,948,949,962,967,970,971,
987,989,998,1005,1008,1014,1016,1021,1053,1055,1075,1076,1078,1079,1080,1084,
1087,1105,1106,1116,1120,1134,1268,1270,1283,1299,1310,1315,1326,1369,1372,
1374,1375,1378,1379,1381,1399,1400,1479,1483,1500,1511,1529,1532,1549,1550,
1756,1766,1776,1777,1810,2011],[1,2,3,5,6,11,12,13,14,15,17,19,20,21,22,23,25,
26,27,29,30,31,32,35,38,39,40,44,46,47,51,67,68,69,71,72,75,76,77,78,80,81,82,
84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,
120,121,122,123,125,127,130,133,138,141,143,146,149,150,151,156,158,164,169,
171,176,178,181,185,187,194,198,200,203,204,205,207,212,216,266,269,271,272,
273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,
298,299,302,310,313,316,318,319,321,324,329,333,337,347,348,364,369,371,375,
378,379,380,382,384,392,394,400,402,405,408,412,417,419,421,422,423,425,430,
433,436,440,442,447,450,453,456,460,463,467,470,474,475,484,490,494,495,497,
499,500,501,504,505,508,514,516,519,523,527,531,534,539,543,546,553,558,562,
573,587,689,691,692,693,694,699,700,703,705,707,709,712,714,718,719,727,728,
734,738,742,743,744,746,751,754,761,762,764,767,771,774,776,778,782,786,788,
789,790,791,793,799,801,811,816,820,824,827,830,832,837,846,853,855,856,857,
858,860,864,866,872,875,877,880,885,887,890,899,909,921,940,950,952,954,974,
976,994,1004,1010,1017,1028,1037,1041,1049,1059,1062,1065,1067,1072,1107,1111,
1113,1132,1257,1262,1263,1264,1266,1272,1276,1287,1291,1293,1295,1296,1297,
1303,1305,1308,1312,1323,1335,1345,1357,1366,1379,1381,1383,1389,1395,1429,
1439,1442,1444,1474,1492,1497,1513,1521,1524,1559,1562,1721,1722,1727,1759,
1767,1769,1782,1817,1829,1837,1847,2012],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,
46,48,49,50,52,67,68,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,89,90,92,
93,94,95,96,97,99,100,101,102,103,105,106,109,110,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,131,132,134,135,136,137,138,139,
140,141,142,143,144,145,147,148,152,153,154,155,157,159,160,163,165,166,167,
168,170,172,173,177,179,180,182,183,184,186,188,189,190,191,192,193,195,196,
197,200,201,202,203,204,206,208,211,213,214,217,218,266,269,271,272,273,274,
276,278,279,280,282,283,284,285,286,287,288,289,290,291,292,294,296,297,298,
299,303,304,311,312,314,315,316,317,318,320,322,323,325,330,334,335,338,349,
350,351,365,370,372,373,376,377,378,379,380,381,383,385,386,390,391,396,399,
401,403,407,409,410,411,413,418,420,421,422,423,424,426,431,432,434,435,437,
438,439,441,443,446,448,449,451,452,454,455,457,458,459,461,462,464,465,466,
468,469,471,472,473,476,477,482,483,489,491,492,493,495,496,497,498,499,500,
501,502,503,504,506,507,509,513,515,517,518,520,524,525,526,528,532,533,535,
536,537,538,540,541,542,544,545,547,554,555,556,557,563,564,565,569,570,571,
572,574,575,584,585,586,588,589,590,690,691,692,693,694,697,698,701,702,704,
706,708,710,711,713,715,716,717,720,721,727,728,729,733,735,739,740,742,743,
745,747,752,753,755,759,760,763,765,766,768,770,772,773,775,777,779,780,781,
787,788,789,790,792,794,798,800,802,812,817,819,821,825,826,828,829,831,833,
834,838,847,852,854,855,856,857,859,861,862,863,865,867,873,874,876,878,879,
881,884,886,888,891,900,901,907,908,910,911,922,941,942,943,951,953,955,975,
977,995,1002,1003,1008,1009,1015,1016,1029,1030,1036,1038,1039,1040,1047,1048,
1060,1061,1063,1064,1066,1068,1073,1108,1109,1112,1114,1133,1257,1262,1263,
1265,1267,1273,1274,1277,1286,1288,1292,1294,1295,1296,1298,1302,1304,1306,
1309,1310,1313,1324,1336,1337,1343,1344,1356,1358,1365,1367,1380,1382,1384,
1390,1396,1428,1430,1438,1440,1441,1443,1445,1446,1475,1490,1491,1498,1499,
1514,1522,1525,1560,1563,1721,1723,1728,1760,1768,1770,1783,1815,1816,1828,
1830,1838,1839,1845,1846,2013],[1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,
31,32,34,35,38,40,44,45,47,50,67,69,71,72,73,76,80,82,84,85,87,89,90,93,94,99,
100,101,104,108,111,114,116,119,121,125,130,131,133,134,136,137,138,139,142,
144,147,150,156,158,164,169,173,176,178,181,182,185,186,189,190,191,195,197,
200,202,205,212,218,265,268,276,277,279,281,283,286,290,293,295,298,302,305,
308,311,314,321,324,327,329,333,341,357,358,368,369,371,374,376,378,386,387,
397,404,410,417,419,424,429,439,447,450,452,453,456,458,460,463,466,467,469,
471,474,480,484,485,490,494,498,500,505,508,510,512,513,518,523,527,531,534,
539,541,542,545,548,551,555,556,562,568,572,581,582,589,590,688,689,691,699,
702,705,707,709,712,714,718,719,722,725,732,733,738,741,742,744,746,749,754,
756,766,780,783,796,811,813,814,815,816,821,822,826,842,844,848,850,861,872,
880,882,883,884,890,904,908,917,918,928,931,934,958,959,982,996,1012,1026,
1029,1031,1039,1042,1046,1047,1069,1092,1094,1099,1124,1128,1130,1256,1268,
1269,1280,1284,1289,1302,1307,1311,1312,1314,1330,1332,1333,1338,1346,1348,
1378,1381,1392,1402,1446,1453,1459,1466,1481,1488,1489,1519,1533,1565,1724,
1726,1761,1772,1780,1819,1825,1836,1840,2014],[1,2,3,4,5,6,11,12,13,14,15,16,
18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,67,69,
71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,100,101,
102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,134,136,
137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,173,176,
178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,212,218,
268,269,271,272,273,274,276,277,279,280,281,283,285,286,287,288,289,290,291,
292,293,295,297,298,299,302,305,308,311,314,315,320,321,324,327,329,333,341,
357,358,368,373,375,382,385,386,387,390,391,394,400,402,404,407,409,410,412,
418,424,426,429,431,432,434,437,439,441,443,447,450,452,453,456,458,460,463,
466,467,469,471,474,477,480,484,485,490,494,498,500,505,508,510,512,513,515,
517,518,520,523,527,531,533,534,539,541,542,545,547,548,551,554,555,556,557,
562,568,572,581,582,589,590,689,691,692,693,694,699,702,704,705,707,709,712,
714,718,719,722,725,732,733,735,738,745,751,756,761,764,767,771,774,776,778,
780,781,783,787,792,796,799,801,819,821,822,825,826,828,829,831,833,842,846,
848,850,853,859,861,862,863,865,867,875,877,884,886,888,890,904,908,917,918,
928,931,934,958,959,982,996,1007,1019,1023,1027,1033,1034,1044,1056,1069,1092,
1094,1099,1124,1128,1130,1257,1265,1267,1273,1274,1280,1287,1289,1291,1293,
1298,1302,1304,1306,1308,1330,1342,1352,1354,1360,1362,1379,1381,1392,1402,
1425,1435,1447,1458,1481,1486,1496,1519,1533,1565,1723,1727,1761,1775,1778,
1813,1824,1833,1844,2015],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,22,23,
24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,
52,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,105,106,109,110,112,113,114,115,116,118,119,120,
121,122,123,124,126,128,129,130,131,132,133,134,135,136,137,139,140,141,142,
144,145,146,147,148,149,150,151,152,153,154,155,157,158,159,160,163,165,167,
168,171,172,173,174,175,177,178,179,180,182,183,184,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,206,207,208,211,213,217,218,269,
270,271,272,273,274,275,276,278,279,280,282,283,285,286,287,288,289,290,291,
292,294,296,297,298,299,303,304,307,309,310,311,313,314,315,319,320,322,325,
326,328,330,335,342,359,360,366,367,371,373,376,377,381,383,384,385,386,388,
389,390,391,392,396,399,401,403,405,406,407,408,409,410,411,413,417,418,424,
425,426,427,428,430,431,432,433,434,436,437,439,440,441,442,443,446,448,451,
452,454,455,456,457,458,461,462,464,465,468,469,470,471,472,475,476,477,478,
479,481,482,483,488,489,491,492,493,495,498,502,506,507,509,511,512,513,514,
515,516,517,518,519,520,524,526,528,531,532,533,536,537,538,541,542,543,544,
546,547,549,550,551,552,553,554,555,556,557,558,559,563,564,567,568,569,571,
576,578,580,582,584,586,588,589,690,691,692,693,694,697,698,700,702,703,704,
706,708,710,713,715,716,717,720,721,724,726,730,731,733,734,735,740,744,745,
752,753,757,758,759,760,765,766,768,770,772,773,775,777,779,780,781,782,784,
785,786,787,791,792,795,797,798,800,802,819,820,821,823,824,825,826,827,828,
829,830,831,832,833,843,847,849,851,852,854,858,859,860,861,862,863,864,865,
866,867,874,876,878,879,884,885,886,887,888,891,902,903,911,916,917,920,929,
932,935,936,956,957,960,961,983,997,1005,1006,1018,1020,1021,1022,1025,1026,
1031,1032,1035,1042,1043,1057,1070,1071,1093,1095,1096,1097,1098,1125,1126,
1127,1129,1131,1257,1264,1265,1266,1267,1272,1273,1274,1281,1286,1288,1290,
1292,1294,1297,1298,1302,1303,1304,1305,1306,1309,1310,1331,1340,1341,1353,
1355,1359,1361,1363,1364,1380,1382,1393,1394,1403,1426,1427,1436,1437,1448,
1449,1457,1459,1482,1485,1487,1494,1495,1520,1534,1535,1566,1567,1722,1723,
1728,1762,1773,1774,1779,1812,1814,1822,1823,1834,1835,1842,1843,2016],[1,2,3,
5,6,11,12,13,14,15,17,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,51,
67,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,130,133,138,141,146,149,
150,151,156,158,164,169,171,176,178,181,185,187,194,198,200,205,207,212,215,
269,271,272,273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,
293,295,297,298,299,302,310,313,319,321,324,329,333,336,345,347,348,364,371,
374,375,378,382,384,392,394,400,402,405,408,412,417,419,421,425,430,433,436,
440,442,447,450,453,456,460,463,467,470,474,475,484,490,494,495,500,505,508,
514,516,519,523,527,531,534,539,543,546,553,558,562,583,593,689,691,692,693,
694,699,700,703,705,707,709,712,714,718,719,734,738,744,751,754,761,764,767,
771,774,776,778,782,786,788,791,793,799,801,813,815,820,824,827,830,832,836,
837,846,853,858,860,864,866,872,875,877,883,885,887,890,898,912,930,939,950,
954,974,984,985,986,1011,1013,1045,1050,1051,1058,1062,1065,1067,1072,1110,
1111,1113,1137,1257,1264,1266,1272,1275,1287,1291,1293,1297,1303,1305,1307,
1308,1325,1334,1350,1351,1379,1381,1391,1395,1431,1451,1452,1456,1473,1493,
1518,1523,1524,1561,1564,1722,1727,1758,1771,1781,1818,1827,1841,2017],[1,2,3,
5,6,7,11,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,67,69,70,
71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,108,110,111,114,116,119,121,
124,125,128,130,133,138,150,155,156,157,158,159,161,162,163,164,165,168,169,
176,177,178,179,181,183,185,200,205,206,209,210,211,212,219,265,267,277,279,
281,283,286,290,293,294,295,298,300,302,304,321,324,329,330,331,332,333,344,
346,352,353,362,363,369,371,374,377,378,383,393,396,398,399,411,413,415,416,
417,419,444,445,447,448,450,451,453,456,460,463,467,474,484,486,490,491,492,
494,500,505,506,507,508,509,521,522,523,524,526,527,528,529,530,531,534,539,
560,561,562,564,591,592,594,595,688,689,691,695,698,699,705,706,707,709,712,
714,718,719,736,737,738,741,742,744,746,750,753,754,759,798,802,804,807,808,
810,811,813,814,815,816,818,835,839,840,868,870,872,874,879,880,882,883,889,
890,913,914,915,926,948,949,962,967,970,971,987,989,1024,1052,1053,1054,1055,
1075,1076,1078,1079,1080,1084,1087,1105,1106,1116,1120,1134,1256,1270,1271,
1283,1299,1301,1307,1310,1311,1312,1314,1326,1368,1369,1377,1378,1381,1399,
1400,1460,1461,1462,1463,1479,1500,1511,1529,1532,1549,1550,1725,1726,1756,
1776,1784,1820,1821,1850,2018],[1,2,3,4,5,6,7,11,15,16,19,20,22,24,25,26,28,
29,31,32,33,35,36,38,40,41,43,44,45,47,49,50,67,69,70,71,72,73,74,76,80,82,84,
85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,124,125,126,128,
129,130,131,132,133,134,135,138,139,140,144,150,153,156,157,158,162,163,164,
167,169,173,176,177,178,181,182,183,184,185,188,189,192,195,200,201,205,209,
212,213,217,265,267,268,277,278,279,281,283,286,290,293,295,298,300,301,302,
303,305,306,308,321,322,324,329,331,333,339,354,355,356,361,369,371,374,376,
378,381,386,387,393,395,397,399,401,403,404,410,413,414,416,417,419,444,445,
446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,471,473,474,
480,482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,527,528,529,
531,534,538,539,548,552,555,560,562,569,574,575,576,579,580,688,689,691,695,
696,699,705,707,709,710,712,714,716,718,719,722,723,725,736,738,741,742,744,
746,749,752,754,756,766,769,772,775,777,780,783,798,803,805,807,810,811,813,
814,815,816,818,835,841,844,848,850,852,868,870,872,876,880,882,883,889,890,
901,902,905,925,944,945,946,963,966,973,978,980,993,1003,1005,1008,1014,1016,
1018,1021,1074,1081,1085,1086,1088,1089,1090,1117,1119,1121,1123,1139,1256,
1268,1269,1270,1271,1278,1284,1286,1289,1299,1301,1307,1311,1312,1314,1328,
1370,1372,1374,1375,1378,1381,1385,1387,1397,1427,1430,1434,1470,1478,1483,
1484,1517,1527,1530,1555,1558,1724,1725,1726,1763,1765,1766,1777,1811,1831,
1848,1849,2019],[1,2,3,5,6,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,
38,39,40,44,45,47,50,67,69,71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,
97,100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,133,
138,150,156,158,164,169,176,178,181,182,185,189,195,200,205,212,220,269,271,
272,273,274,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,
298,299,302,305,308,321,324,329,333,375,376,382,386,387,394,397,400,402,404,
410,412,447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,
534,539,562,596,597,598,689,691,692,693,694,699,705,707,709,712,714,718,719,
738,751,761,764,767,771,774,776,778,799,801,844,846,848,850,853,875,877,890,
1012,1029,1042,1046,1100,1101,1102,1103,1141,1150,1257,1269,1287,1291,1293,
1308,1332,1333,1348,1379,1381,1536,1537,1538,1574,1575,1576,1579,1727,1780,
1803,1861,1862,2020],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,
48,52,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,
125,130,133,138,150,156,158,164,169,176,178,180,181,185,193,196,200,205,208,
212,220,265,277,279,281,283,286,290,293,295,298,302,315,320,321,324,329,333,
369,371,374,378,385,391,417,418,419,426,431,434,447,450,453,456,460,463,467,
474,484,490,494,500,505,508,523,527,531,534,539,562,596,597,598,688,689,691,
699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,813,814,815,816,
862,865,867,872,880,882,883,890,1023,1033,1034,1056,1100,1101,1102,1103,1141,
1150,1256,1274,1307,1311,1312,1314,1352,1354,1360,1378,1381,1536,1537,1538,
1568,1569,1571,1572,1726,1778,1803,1859,1860,2021],[1,2,3,5,6,11,15,17,19,20,
21,22,25,26,29,31,32,35,38,40,44,47,49,67,68,69,71,72,76,80,82,84,85,88,89,90,
91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,150,151,156,158,
164,169,176,177,178,181,185,187,200,203,205,207,209,212,216,220,266,275,277,
279,281,283,286,290,293,295,298,302,310,316,319,321,324,329,331,333,337,347,
348,364,369,371,378,393,413,417,419,421,433,436,444,445,447,450,453,456,460,
463,467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,527,531,534,
539,543,546,562,573,587,596,597,598,689,691,699,700,703,705,707,709,712,714,
718,719,727,738,742,744,746,754,762,788,791,793,811,816,832,837,855,858,866,
868,872,880,889,890,899,909,921,940,950,952,954,974,976,994,1024,1052,1054,
1059,1062,1065,1067,1072,1100,1101,1102,1103,1107,1111,1113,1132,1141,1150,
1270,1276,1295,1297,1312,1323,1368,1377,1381,1383,1389,1395,1474,1513,1521,
1524,1536,1537,1538,1559,1562,1570,1573,1602,1603,1759,1784,1803,1863,1866,
2022],[1,2,3,4,5,6,7,11,15,16,19,20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,
43,44,45,47,49,51,67,69,70,71,72,73,74,76,80,82,84,85,89,90,93,100,101,103,
104,107,108,111,112,114,116,119,121,124,125,126,128,129,130,131,132,133,134,
135,138,139,140,150,153,156,157,158,162,163,164,167,169,176,177,178,181,182,
183,184,185,188,189,192,194,198,200,201,205,209,212,213,217,220,267,268,277,
278,279,281,283,286,290,293,295,298,300,301,302,303,305,306,313,321,322,324,
329,331,333,339,354,355,356,361,376,381,384,393,395,397,399,401,403,405,413,
414,416,425,442,446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,
467,471,473,474,482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,
527,528,529,531,534,538,539,548,552,560,562,569,574,575,576,579,580,596,597,
598,689,691,695,696,699,705,707,709,710,712,714,716,718,719,722,723,736,738,
749,752,766,769,772,775,777,798,803,805,807,810,841,844,852,860,868,870,876,
887,890,901,902,905,925,944,945,946,963,966,973,978,980,993,1011,1045,1051,
1074,1081,1085,1086,1088,1089,1090,1100,1101,1102,1103,1117,1119,1121,1123,
1139,1141,1150,1264,1278,1284,1286,1299,1328,1334,1350,1381,1385,1387,1397,
1478,1517,1527,1530,1536,1537,1538,1555,1558,1577,1578,1604,1605,1763,1781,
1803,1864,1865,2023],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,45,
47,48,50,52,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,
121,125,130,133,138,150,156,158,164,169,176,178,180,181,182,185,189,193,195,
196,200,205,208,212,277,279,281,283,286,290,293,295,298,302,305,308,315,320,
321,324,329,333,369,371,374,375,376,378,382,385,386,387,391,394,397,400,402,
404,410,412,417,418,419,426,431,434,447,450,453,456,460,463,467,474,484,490,
494,500,505,508,523,527,531,534,539,562,689,691,699,705,707,709,712,714,718,
719,738,844,846,848,850,853,862,865,867,872,875,877,880,882,883,890,998,1012,
1023,1029,1033,1034,1042,1046,1056,1269,1274,1315,1332,1333,1348,1352,1354,
1360,1378,1379,1381,1778,1780,1810,2024],[1,2,3,4,5,6,7,11,15,16,19,20,22,24,
25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,46,47,48,49,51,52,67,69,70,71,72,
73,74,76,80,82,84,85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,
124,125,126,128,129,130,131,132,133,134,135,138,139,140,150,153,156,157,158,
162,163,164,167,169,176,177,178,180,181,182,183,184,185,188,189,192,193,194,
196,198,199,200,201,204,205,208,209,212,213,214,217,267,268,277,278,279,281,
283,286,290,293,295,298,300,301,302,303,305,306,309,313,315,318,320,321,322,
324,329,331,333,334,339,350,351,354,355,356,359,360,361,372,376,379,381,384,
385,391,393,395,397,399,401,403,405,406,413,414,416,418,422,425,426,431,434,
442,446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,471,473,
474,482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,527,528,529,
531,534,538,539,548,552,560,562,569,574,575,576,579,580,689,691,695,696,699,
705,707,709,710,712,714,716,718,719,722,723,736,738,749,752,766,769,772,775,
777,798,803,805,807,810,841,844,849,852,856,860,862,865,867,868,870,873,876,
887,890,901,902,905,922,925,929,944,945,946,963,966,973,978,980,993,1009,1010,
1022,1023,1032,1033,1034,1037,1048,1049,1056,1074,1081,1085,1086,1088,1089,
1090,1108,1112,1117,1119,1121,1123,1125,1126,1139,1262,1264,1274,1278,1284,
1286,1299,1324,1328,1331,1343,1345,1347,1352,1354,1357,1359,1360,1376,1381,
1385,1387,1397,1478,1487,1490,1494,1498,1517,1527,1530,1555,1558,1583,1584,
1763,1778,1782,1790,1802,1805,1814,1815,1874,2025],[1,2,3,4,5,6,7,12,13,14,15,
16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,67,69,70,71,72,73,74,75,77,78,79,80,81,83,84,85,86,92,93,
95,96,97,100,101,102,103,105,106,107,109,110,111,112,113,114,115,116,119,120,
121,122,123,124,125,126,128,129,130,131,132,133,134,135,138,139,140,150,153,
155,156,157,159,161,162,163,164,165,167,168,169,176,177,178,179,180,181,182,
183,184,185,188,189,192,193,194,195,196,197,198,199,200,201,203,204,206,207,
208,210,211,212,213,214,217,267,268,277,278,280,282,283,285,287,288,289,291,
292,294,296,297,298,299,300,301,302,303,304,305,306,308,309,313,314,315,316,
318,319,320,321,322,325,330,332,333,334,335,339,347,348,350,351,352,353,354,
355,356,357,358,359,360,362,363,371,372,375,377,378,379,380,382,383,384,385,
386,390,392,393,395,398,399,400,401,402,403,404,406,407,411,412,414,415,416,
417,418,421,422,423,424,425,426,430,432,433,434,443,446,447,448,449,451,452,
453,454,456,457,460,461,462,463,464,468,471,473,476,482,483,484,485,486,487,
488,489,490,491,492,493,500,502,506,507,509,521,522,524,526,527,528,530,532,
536,537,538,539,548,552,561,563,564,569,574,575,576,579,580,690,692,695,696,
697,698,706,708,709,710,713,715,716,717,718,720,721,722,723,737,740,748,750,
751,753,764,765,769,770,771,773,774,776,777,799,800,804,805,806,807,808,809,
840,841,845,848,849,853,854,855,856,857,860,861,862,863,864,866,867,869,871,
872,873,874,875,888,891,901,902,905,921,922,923,924,928,929,944,945,946,962,
964,965,967,971,972,979,981,991,992,1008,1009,1010,1021,1022,1023,1031,1032,
1033,1035,1036,1038,1047,1048,1049,1057,1075,1076,1080,1082,1083,1084,1086,
1087,1088,1089,1090,1091,1107,1108,1111,1112,1115,1116,1118,1120,1121,1122,
1123,1124,1125,1126,1138,1140,1263,1265,1272,1273,1278,1285,1287,1288,1300,
1323,1324,1329,1330,1331,1343,1344,1345,1346,1347,1353,1355,1356,1358,1359,
1360,1361,1375,1376,1382,1386,1388,1398,1399,1476,1477,1485,1486,1491,1492,
1495,1496,1497,1499,1515,1516,1526,1527,1531,1532,1553,1554,1556,1557,1583,
1584,1585,1764,1779,1783,1789,1791,1800,1801,1804,1805,1812,1813,1816,1817,
1872,1873,2026],[1,2,3,5,6,11,15,17,19,20,21,22,25,26,29,31,32,35,38,40,44,45,
47,49,50,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,114,
116,119,121,125,130,133,138,141,150,151,156,158,164,169,176,177,178,181,182,
185,187,189,195,197,200,203,205,207,209,212,213,216,266,275,277,279,281,283,
286,290,293,295,298,302,303,305,308,310,314,316,319,321,324,329,331,333,337,
347,348,354,355,357,358,364,369,371,376,378,386,387,393,397,401,404,410,413,
417,419,421,424,433,436,444,445,447,450,453,456,460,463,467,470,474,475,484,
490,494,495,497,500,501,505,508,519,523,527,531,534,539,543,546,562,573,587,
689,691,699,700,703,705,707,709,712,714,718,719,727,738,742,744,746,754,762,
788,791,793,811,816,832,837,844,848,850,855,858,861,866,868,872,876,880,889,
890,899,909,921,925,928,940,950,952,954,974,976,994,1005,1012,1014,1016,1029,
1042,1046,1059,1062,1065,1067,1072,1107,1111,1113,1117,1121,1124,1132,1268,
1269,1270,1276,1295,1297,1312,1323,1328,1330,1332,1333,1341,1348,1365,1372,
1374,1381,1383,1389,1395,1474,1483,1484,1488,1489,1513,1521,1524,1559,1562,
1580,1759,1777,1780,1797,1799,1806,1811,1819,1875,2027],[1,2,3,4,5,6,7,11,15,
16,17,19,20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,47,49,50,67,69,
70,71,72,73,74,76,80,82,84,85,88,89,90,91,93,100,101,103,104,107,108,111,112,
114,116,119,121,124,125,126,128,129,130,131,132,133,134,135,138,139,140,141,
147,150,151,153,156,157,158,162,163,164,167,169,176,177,178,181,182,183,184,
185,187,188,189,192,195,200,201,205,207,209,212,213,215,217,267,268,275,277,
278,279,281,283,286,290,293,295,298,300,301,302,303,305,306,308,310,319,321,
322,324,329,331,333,336,339,345,347,348,354,355,356,361,364,368,371,374,376,
378,381,386,387,393,395,397,399,401,403,404,410,413,414,416,417,419,421,429,
433,436,439,446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,
470,471,473,474,475,482,484,485,486,487,488,489,490,494,495,500,502,505,508,
513,519,522,523,527,528,529,531,534,538,539,543,546,548,552,560,562,569,574,
575,576,579,580,583,593,689,691,695,696,699,700,703,705,707,709,710,712,714,
716,718,719,722,723,736,738,744,749,752,754,766,769,772,775,777,788,791,793,
798,803,805,807,810,813,815,821,822,832,836,837,841,844,848,850,852,858,866,
868,870,872,876,883,890,898,901,902,905,912,925,930,939,944,945,946,950,954,
959,963,966,973,974,978,980,982,984,985,986,993,1008,1012,1014,1021,1026,1029,
1039,1042,1046,1058,1062,1065,1067,1072,1074,1081,1085,1086,1088,1089,1090,
1094,1110,1111,1113,1117,1119,1121,1123,1137,1139,1269,1275,1278,1284,1286,
1297,1299,1307,1325,1328,1332,1333,1338,1348,1374,1375,1381,1385,1387,1391,
1395,1397,1402,1404,1409,1411,1412,1424,1437,1440,1450,1473,1478,1484,1489,
1517,1518,1523,1524,1527,1530,1555,1558,1561,1564,1729,1730,1736,1758,1763,
1780,1792,1793,1797,1836,1849,2028],[1,2,3,4,5,6,11,15,16,17,18,19,20,22,25,
26,28,29,31,32,34,35,38,40,44,45,47,49,50,67,69,71,72,73,76,80,82,84,85,87,88,
89,90,91,93,94,99,100,101,104,108,111,114,116,119,121,125,130,131,133,134,136,
137,138,139,141,142,144,147,150,151,153,156,158,164,169,173,176,177,178,181,
182,185,186,187,189,190,191,195,197,200,202,205,207,209,212,215,218,268,275,
276,277,279,281,283,286,290,293,295,298,302,305,308,310,311,314,319,321,324,
327,329,331,333,336,341,345,347,348,357,358,361,364,368,371,374,378,381,386,
387,393,395,404,410,413,417,419,421,424,429,433,436,439,444,445,447,450,452,
453,456,458,460,461,463,466,467,469,470,471,474,475,480,484,485,490,494,495,
498,500,505,508,510,512,513,518,519,523,527,531,534,539,541,542,543,545,546,
548,551,555,556,562,568,572,581,582,583,589,590,593,689,691,699,700,702,703,
705,707,709,712,714,718,719,722,725,732,733,738,744,754,756,769,772,780,783,
788,791,793,796,813,815,821,822,826,832,836,837,842,848,850,858,861,866,868,
872,883,884,889,890,898,904,908,912,917,918,928,930,931,934,939,950,954,958,
959,966,974,980,982,984,985,986,996,1003,1005,1014,1016,1018,1031,1046,1047,
1058,1062,1065,1067,1069,1072,1081,1092,1094,1099,1110,1111,1113,1124,1128,
1130,1137,1268,1270,1275,1280,1289,1297,1302,1307,1325,1330,1332,1346,1370,
1372,1374,1381,1385,1391,1392,1395,1402,1407,1411,1417,1443,1449,1450,1473,
1481,1483,1488,1518,1519,1523,1524,1533,1561,1564,1565,1730,1731,1758,1761,
1777,1798,1799,1840,1848,2029],[1,2,3,4,5,6,7,11,15,16,18,19,20,22,24,25,26,
28,29,31,32,34,35,36,37,38,40,42,43,44,45,46,47,49,50,51,67,69,70,71,72,73,76,
80,82,83,84,85,87,89,90,93,94,99,100,101,104,105,107,108,110,111,114,116,119,
121,124,125,128,130,131,133,134,136,137,138,139,142,144,147,150,155,156,157,
158,159,161,162,163,164,165,168,169,170,173,175,176,177,178,179,181,182,183,
185,186,189,190,191,194,195,197,198,200,202,204,205,206,209,210,211,212,218,
219,267,268,276,277,279,281,283,286,290,293,294,295,298,300,302,304,305,308,
311,313,314,318,321,324,327,329,330,331,332,333,341,344,346,349,352,353,357,
358,362,363,366,368,370,377,379,383,384,386,387,389,393,396,398,399,404,405,
410,411,413,415,416,422,424,425,427,429,438,439,442,447,448,450,451,452,453,
456,458,460,463,466,467,469,471,474,478,480,484,485,486,490,491,492,494,498,
500,505,506,507,508,509,510,512,513,518,521,522,523,524,526,527,528,529,530,
531,534,535,539,541,542,545,548,551,555,556,560,561,562,564,568,572,581,582,
589,590,591,592,594,595,689,691,695,698,699,702,705,706,707,709,712,714,718,
719,722,725,732,733,736,737,738,747,750,753,756,757,759,780,783,794,795,796,
798,802,804,807,808,810,821,822,826,839,840,842,848,850,856,860,861,868,870,
874,879,884,887,890,904,908,913,914,915,917,918,926,928,931,934,948,949,951,
953,957,958,959,960,962,967,970,971,982,987,989,996,1002,1006,1010,1035,1036,
1037,1040,1043,1049,1061,1069,1071,1075,1076,1078,1079,1080,1084,1087,1092,
1094,1099,1105,1106,1116,1120,1124,1128,1130,1134,1262,1264,1280,1283,1289,
1299,1302,1310,1326,1330,1337,1340,1345,1355,1356,1357,1381,1390,1392,1394,
1399,1400,1402,1405,1408,1416,1432,1454,1465,1479,1481,1485,1491,1511,1519,
1529,1532,1533,1549,1550,1565,1733,1739,1756,1761,1782,1796,1801,1834,1838,
2030],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,67,69,70,72,73,74,
75,77,78,79,80,81,82,83,84,85,86,87,88,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,112,113,114,115,116,119,120,121,122,123,124,
125,126,128,129,130,131,132,133,134,135,136,137,139,140,141,142,145,146,148,
149,153,155,156,157,158,159,161,162,163,164,165,167,168,169,170,171,172,173,
174,175,176,177,178,179,181,182,183,184,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,209,210,211,212,213,217,218,
219,267,270,275,276,278,280,282,283,285,287,288,289,291,292,293,294,296,297,
298,299,301,302,303,304,307,309,310,311,313,314,315,316,318,322,325,326,328,
329,330,331,332,335,342,344,346,348,349,354,355,356,359,360,361,362,363,366,
367,368,369,370,375,376,378,379,380,381,382,384,385,386,387,388,389,394,395,
396,397,398,400,401,406,407,408,409,411,412,413,414,415,416,421,422,423,424,
425,426,427,428,429,436,438,440,441,443,446,447,448,449,450,451,452,454,455,
456,457,458,461,462,464,465,468,469,470,471,472,476,478,479,480,481,482,483,
485,487,488,489,490,491,492,493,494,495,498,502,505,506,507,508,509,511,512,
514,515,516,517,521,522,523,524,526,527,528,529,530,532,534,535,536,537,538,
541,542,543,544,549,550,551,552,553,554,557,558,559,560,561,562,563,564,567,
568,569,571,576,578,580,582,584,586,588,589,591,592,594,595,690,692,696,697,
698,699,700,702,705,706,708,710,713,715,716,717,720,721,724,726,730,731,734,
735,736,737,740,746,747,748,749,751,752,756,757,758,760,761,781,782,784,785,
793,794,795,796,797,799,800,801,802,803,804,805,806,808,809,810,819,820,823,
827,828,839,841,843,849,851,855,856,857,860,861,862,869,871,875,876,877,878,
885,886,888,891,902,903,911,913,914,915,916,917,920,927,929,932,935,936,948,
949,950,951,952,953,956,957,958,959,960,961,963,964,965,966,968,969,972,973,
983,988,990,997,1003,1004,1005,1007,1008,1009,1034,1035,1036,1037,1038,1039,
1041,1042,1044,1047,1048,1059,1061,1069,1070,1071,1074,1075,1076,1077,1078,
1079,1081,1082,1083,1085,1086,1088,1093,1095,1096,1097,1098,1104,1105,1106,
1115,1117,1118,1119,1125,1126,1127,1129,1131,1135,1136,1263,1265,1281,1283,
1290,1300,1303,1304,1308,1309,1327,1331,1335,1336,1341,1342,1343,1344,1354,
1355,1356,1357,1358,1382,1389,1390,1392,1393,1394,1397,1398,1401,1403,1406,
1407,1409,1410,1415,1416,1433,1434,1453,1455,1464,1465,1480,1482,1486,1487,
1490,1492,1512,1520,1528,1529,1530,1531,1534,1535,1547,1548,1551,1552,1566,
1567,1734,1735,1738,1739,1757,1762,1783,1794,1795,1800,1802,1833,1835,1837,
1839,2031],[1,2,3,5,6,7,11,15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,
42,43,44,47,48,49,52,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,
104,105,107,108,110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,
155,156,157,158,159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,
181,183,185,187,193,196,200,203,205,206,207,208,209,210,211,212,216,219,266,
267,275,277,279,281,283,286,290,293,294,295,298,300,302,304,310,315,316,319,
320,321,324,329,330,331,332,333,337,344,346,347,348,352,353,362,363,364,365,
367,369,371,377,378,383,385,388,391,393,396,398,399,411,413,415,416,417,418,
419,420,421,426,428,431,433,434,435,436,447,448,450,451,453,456,460,463,467,
470,474,475,479,484,486,490,491,492,494,495,497,500,501,505,506,507,508,509,
519,521,522,523,524,525,526,527,528,529,530,531,534,539,543,546,560,561,562,
564,573,587,591,592,594,595,689,691,695,698,699,700,703,705,706,707,709,712,
714,718,719,727,736,737,738,742,744,746,750,753,754,758,759,762,763,788,791,
793,797,798,802,804,807,808,810,811,816,817,832,837,839,840,855,858,862,865,
866,867,868,870,872,874,879,880,890,899,909,913,914,915,921,926,940,948,949,
950,952,954,956,961,962,967,970,971,974,975,976,977,987,989,994,1015,1020,
1023,1025,1030,1033,1034,1038,1056,1057,1059,1062,1065,1067,1070,1072,1073,
1075,1076,1078,1079,1080,1084,1087,1105,1106,1107,1111,1113,1116,1120,1132,
1134,1274,1276,1283,1295,1297,1299,1310,1312,1323,1326,1352,1353,1354,1358,
1360,1363,1367,1381,1383,1384,1389,1393,1395,1399,1400,1413,1415,1418,1420,
1464,1468,1469,1471,1474,1479,1495,1499,1511,1513,1521,1524,1529,1532,1549,
1550,1559,1562,1738,1740,1743,1756,1759,1778,1785,1787,1791,1842,1845,2032],[
1,2,3,4,5,6,7,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,67,68,69,70,72,73,74,75,
77,78,79,80,81,82,83,84,85,86,87,92,93,94,95,96,97,99,100,101,102,103,104,105,
106,107,108,109,110,112,113,114,115,116,117,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,134,135,136,137,138,139,140,141,142,143,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,173,175,176,
177,178,179,180,181,182,183,184,186,188,189,190,191,192,194,195,197,198,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,217,218,219,266,267,
276,278,280,282,283,284,285,287,288,289,291,292,293,294,296,297,298,299,301,
302,303,304,311,312,313,314,316,317,318,319,320,322,323,325,329,330,331,332,
334,335,338,344,346,349,350,351,354,355,356,361,362,363,364,365,366,368,370,
372,373,375,376,379,380,381,382,384,386,387,389,390,392,394,395,396,397,398,
400,401,411,412,413,414,415,416,417,418,419,420,422,423,424,425,427,429,430,
432,433,434,435,437,438,446,447,448,449,450,451,452,454,455,457,458,459,461,
462,464,465,466,468,469,471,472,473,476,477,478,480,482,483,485,487,488,489,
490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,
509,520,521,522,523,524,525,526,527,528,529,530,532,533,535,536,537,538,540,
541,542,544,545,547,560,561,562,563,564,565,569,570,571,572,574,575,584,585,
586,588,589,590,591,592,594,595,690,692,696,697,698,699,701,702,704,705,706,
708,710,711,713,715,716,717,720,721,727,728,729,736,737,739,740,743,745,747,
748,749,751,752,755,756,757,760,761,762,763,789,790,792,794,795,796,799,800,
801,802,803,804,805,806,808,809,810,812,816,817,833,834,838,839,841,856,857,
859,860,861,863,864,866,867,869,871,873,875,876,877,878,881,891,900,901,907,
908,910,911,913,914,915,922,927,941,942,943,948,949,951,953,955,957,958,959,
960,963,964,965,966,968,969,972,973,974,975,976,977,988,990,995,1016,1017,
1018,1019,1021,1022,1026,1027,1028,1029,1031,1032,1035,1036,1037,1056,1057,
1060,1061,1063,1064,1066,1068,1069,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1081,1082,1083,1085,1086,1088,1104,1105,1106,1108,1109,1112,1114,1115,
1117,1118,1119,1133,1135,1136,1272,1273,1277,1283,1296,1298,1300,1308,1309,
1313,1324,1327,1352,1353,1355,1356,1357,1359,1361,1362,1364,1365,1366,1382,
1383,1384,1390,1392,1394,1396,1397,1398,1401,1412,1414,1416,1417,1419,1420,
1465,1466,1467,1469,1470,1472,1475,1480,1494,1496,1497,1498,1512,1514,1522,
1525,1528,1529,1530,1531,1547,1548,1551,1552,1560,1563,1739,1741,1742,1743,
1757,1760,1779,1786,1788,1789,1790,1843,1844,1846,1847,2033],[1,2,3,5,6,11,15,
17,19,20,22,25,26,29,31,32,35,38,40,44,47,48,49,52,67,69,71,72,76,80,82,84,85,
88,89,90,91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,150,151,
156,158,164,169,176,177,178,180,181,185,187,193,196,200,205,207,208,209,212,
215,275,277,279,281,283,286,290,293,295,298,302,310,315,319,320,321,324,329,
331,333,336,345,347,348,364,371,374,378,385,391,393,413,417,418,419,421,426,
431,433,434,436,444,445,447,450,453,456,460,463,467,470,474,475,484,490,494,
495,500,505,508,519,523,527,531,534,539,543,546,562,583,593,689,691,699,700,
703,705,707,709,712,714,718,719,738,744,754,788,791,793,813,815,832,836,837,
858,862,865,866,867,868,872,883,889,890,898,912,930,939,950,954,974,984,985,
986,1023,1024,1033,1034,1052,1054,1056,1058,1062,1065,1067,1072,1110,1111,
1113,1137,1270,1274,1275,1297,1307,1325,1352,1354,1360,1368,1377,1381,1391,
1395,1473,1518,1523,1524,1561,1564,1596,1597,1610,1611,1758,1778,1784,1870,
1871,2034],[1,2,3,5,6,7,11,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,
44,45,47,49,50,51,67,69,70,71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,
108,110,111,114,116,119,121,124,125,128,130,133,138,150,155,156,157,158,159,
161,162,163,164,165,168,169,176,177,178,179,181,182,183,185,189,194,195,198,
200,205,206,209,210,211,212,219,267,277,279,281,283,286,290,293,294,295,298,
300,302,304,305,308,313,321,324,329,330,331,332,333,344,346,352,353,362,363,
376,377,383,384,386,387,393,396,397,398,399,404,405,410,411,413,415,416,425,
442,447,448,450,451,453,456,460,463,467,474,484,486,490,491,492,494,500,505,
506,507,508,509,521,522,523,524,526,527,528,529,530,531,534,539,560,561,562,
564,591,592,594,595,689,691,695,698,699,705,706,707,709,712,714,718,719,736,
737,738,750,753,759,798,802,804,807,808,810,839,840,844,848,850,860,868,870,
874,879,887,890,913,914,915,926,948,949,962,967,970,971,987,989,1011,1012,
1029,1042,1045,1046,1051,1075,1076,1078,1079,1080,1084,1087,1105,1106,1116,
1120,1134,1264,1269,1283,1299,1310,1326,1332,1333,1334,1348,1350,1381,1399,
1400,1479,1511,1529,1532,1549,1550,1598,1599,1612,1613,1756,1780,1781,1867,
1868,2035],[1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,31,32,34,35,38,40,44,
45,47,49,50,51,67,69,71,72,73,76,80,82,84,85,87,89,90,93,94,99,100,101,104,
108,111,114,116,119,121,125,130,131,133,134,136,137,138,139,142,144,147,150,
156,158,164,169,173,176,177,178,181,182,185,186,189,190,191,194,195,197,198,
200,202,205,209,212,218,268,276,277,279,281,283,286,290,293,295,298,302,305,
308,311,313,314,321,324,327,329,331,333,341,357,358,368,384,386,387,393,404,
405,410,413,424,425,429,439,442,444,445,447,450,452,453,456,458,460,463,466,
467,469,471,474,480,484,485,490,494,498,500,505,508,510,512,513,518,523,527,
531,534,539,541,542,545,548,551,555,556,562,568,572,581,582,589,590,689,691,
699,702,705,707,709,712,714,718,719,722,725,732,733,738,756,780,783,796,821,
822,826,842,848,850,860,861,868,884,887,889,890,904,908,917,918,928,931,934,
958,959,982,996,1011,1024,1045,1051,1052,1054,1069,1092,1094,1099,1124,1128,
1130,1264,1270,1280,1289,1302,1330,1334,1350,1368,1377,1381,1392,1402,1481,
1519,1533,1565,1600,1614,1761,1781,1784,1869,2036],[1,2,3,5,6,7,11,15,17,19,
20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,67,69,70,71,72,76,80,82,
83,84,85,88,89,90,91,100,101,104,105,107,108,110,111,114,116,119,121,124,125,
128,130,133,138,141,150,151,155,156,157,158,159,161,162,163,164,165,168,169,
176,177,178,179,181,183,185,187,200,205,206,207,209,210,211,212,215,219,220,
267,275,277,279,281,283,286,290,293,294,295,298,300,302,304,310,319,321,324,
329,330,331,332,333,336,344,345,346,347,348,352,353,362,363,364,371,374,377,
378,383,393,396,398,399,411,413,415,416,417,419,421,433,436,447,448,450,451,
453,456,460,463,467,470,474,475,484,486,490,491,492,494,495,500,505,506,507,
508,509,519,521,522,523,524,526,527,528,529,530,531,534,539,543,546,560,561,
562,564,583,591,592,593,594,595,596,597,598,599,600,601,602,689,691,695,698,
699,700,703,705,706,707,709,712,714,718,719,736,737,738,744,750,753,754,759,
788,791,793,798,802,804,807,808,810,813,815,832,836,837,839,840,858,866,868,
870,872,874,879,883,890,898,912,913,914,915,926,930,939,948,949,950,954,962,
967,970,971,974,984,985,986,987,989,1058,1062,1065,1067,1072,1075,1076,1078,
1079,1080,1084,1087,1100,1101,1102,1103,1105,1106,1110,1111,1113,1116,1120,
1134,1137,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1275,1283,
1297,1299,1307,1310,1325,1326,1381,1391,1395,1399,1400,1473,1479,1511,1518,
1523,1524,1529,1532,1536,1537,1538,1549,1550,1561,1564,1589,1590,1591,1592,
1593,1594,1595,1601,1606,1607,1608,1609,1756,1758,1803,1851,1852,1857,1858,
1899,2037],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,46,47,49,50,
51,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,
130,133,138,150,156,158,164,169,176,177,178,181,185,194,195,198,200,204,205,
209,212,220,277,279,281,283,286,290,293,295,298,302,308,313,318,321,324,329,
331,333,379,384,386,393,404,405,413,422,425,442,444,445,447,450,453,456,460,
463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,596,597,598,689,
691,699,705,707,709,712,714,718,719,738,848,856,860,868,887,889,890,1005,1010,
1014,1016,1037,1049,1100,1101,1102,1103,1141,1150,1262,1264,1268,1270,1345,
1357,1372,1374,1381,1536,1537,1538,1777,1782,1803,2038],[1,2,3,4,5,6,11,15,16,
18,19,20,22,25,26,28,29,31,32,34,35,38,40,44,45,47,50,67,69,71,72,73,76,80,82,
84,85,87,89,90,93,94,99,100,101,104,108,111,114,116,119,121,125,130,131,133,
134,136,137,138,139,142,144,147,150,156,158,164,169,173,176,178,181,182,185,
186,189,190,191,195,197,200,202,205,212,218,220,268,276,277,279,281,283,286,
290,293,295,298,302,305,308,311,314,321,324,327,329,333,341,357,358,368,369,
371,374,375,378,382,386,387,394,400,402,404,410,412,417,419,424,429,439,447,
450,452,453,456,458,460,463,466,467,469,471,474,480,484,485,490,494,498,500,
505,508,510,512,513,518,523,527,531,534,539,541,542,545,548,551,555,556,562,
568,572,581,582,589,590,596,597,598,689,691,699,702,705,707,709,712,714,718,
719,722,725,732,733,738,756,780,783,796,821,822,826,842,846,848,850,853,861,
872,875,877,880,882,883,884,890,904,908,917,918,928,931,934,958,959,982,996,
998,1069,1092,1094,1099,1100,1101,1102,1103,1124,1128,1130,1141,1150,1280,
1289,1302,1315,1330,1378,1379,1381,1392,1402,1481,1519,1533,1536,1537,1538,
1565,1615,1616,1761,1803,1810,1898,2039],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,
19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,
48,49,50,51,67,69,70,72,73,74,75,77,78,80,81,82,84,85,86,87,88,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,108,112,114,115,116,119,120,121,122,123,124,
125,126,128,129,130,131,132,133,134,135,136,137,139,140,141,142,146,149,152,
153,154,155,156,158,160,162,164,165,168,169,171,173,176,177,178,179,180,181,
182,183,184,186,187,188,189,190,191,192,194,195,197,198,200,201,202,203,204,
205,206,208,209,210,211,212,213,214,217,218,219,270,275,276,278,280,283,285,
287,288,289,291,292,293,297,298,299,300,302,303,304,306,307,310,311,313,314,
316,318,320,322,325,326,328,329,330,331,332,334,335,339,342,344,346,348,350,
351,352,353,354,355,356,361,362,363,368,369,372,373,375,376,377,378,379,380,
381,382,383,384,386,387,390,394,395,396,397,398,399,400,401,403,408,411,412,
413,414,416,418,421,422,423,424,425,429,432,434,436,437,440,446,447,448,450,
452,454,455,456,457,458,461,462,464,465,469,470,471,472,477,480,483,485,488,
490,491,494,495,498,502,505,508,511,512,514,516,520,522,523,526,527,533,534,
537,541,542,543,544,547,549,550,551,552,553,558,562,567,568,569,571,575,576,
578,580,582,584,586,588,589,592,595,692,699,700,702,704,705,710,717,724,730,
731,734,745,746,749,751,753,756,761,765,770,773,777,782,792,793,796,799,800,
801,805,810,820,827,833,845,847,852,854,855,856,857,859,860,861,863,867,869,
870,873,874,875,876,877,878,879,885,891,895,896,897,902,903,911,916,917,920,
922,923,924,926,927,932,935,936,944,949,950,952,958,959,962,963,965,966,968,
970,972,973,978,981,987,990,991,993,1002,1003,1004,1005,1006,1008,1019,1020,
1022,1025,1027,1032,1037,1039,1040,1041,1042,1043,1047,1056,1059,1069,1074,
1075,1078,1081,1084,1088,1089,1104,1106,1108,1112,1115,1116,1117,1120,1122,
1123,1134,1135,1136,1138,1139,1140,1263,1273,1281,1288,1298,1303,1308,1317,
1324,1326,1329,1335,1336,1337,1339,1340,1341,1344,1352,1357,1359,1362,1363,
1371,1380,1389,1392,1397,1407,1409,1426,1434,1436,1448,1453,1457,1477,1480,
1485,1491,1492,1494,1496,1498,1499,1505,1506,1508,1510,1541,1542,1548,1550,
1554,1558,1587,1588,1735,1752,1753,1770,1774,1785,1790,1796,1809,1816,1823,
1837,1844,1853,1873,2040],[1,2,3,4,5,6,7,12,13,14,15,16,18,19,20,22,23,24,25,
26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,67,69,
70,71,72,73,75,77,78,80,81,83,84,85,86,87,92,93,94,95,96,97,99,100,101,102,
105,110,111,114,115,116,119,120,121,122,123,125,126,128,129,130,131,133,134,
136,137,138,139,142,145,148,150,152,154,155,156,157,159,160,162,163,164,165,
167,169,170,172,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,
191,193,194,196,198,200,201,202,203,204,206,207,208,209,210,211,212,213,217,
218,219,268,276,277,280,283,285,287,288,289,291,292,294,297,298,299,301,302,
303,304,305,311,313,315,316,318,319,320,321,322,325,327,330,331,332,333,335,
339,341,344,346,347,348,349,353,354,355,356,361,362,363,366,370,371,373,375,
376,377,378,379,380,381,382,383,384,385,389,392,393,396,397,398,399,400,401,
402,403,409,411,412,413,414,415,416,417,418,421,422,423,425,426,427,430,433,
434,437,438,441,446,447,451,452,453,456,458,460,463,466,469,471,477,478,484,
485,486,489,490,493,498,500,506,507,509,510,512,515,517,520,522,524,526,527,
528,533,535,539,541,542,545,547,548,551,554,557,563,568,572,574,580,581,582,
589,590,592,595,692,697,702,704,706,709,718,722,732,735,745,747,750,751,752,
757,760,764,771,774,776,781,792,794,795,799,800,802,807,808,819,828,833,844,
847,852,853,854,855,856,857,859,860,862,864,866,867,868,871,872,874,875,876,
878,879,886,891,894,896,897,904,908,917,918,921,924,925,927,931,934,946,949,
951,953,957,960,962,964,967,969,970,971,972,973,979,980,988,989,992,993,1002,
1003,1006,1007,1010,1018,1019,1023,1026,1027,1033,1038,1039,1040,1043,1044,
1049,1057,1061,1071,1074,1075,1079,1080,1085,1087,1090,1104,1105,1106,1107,
1111,1115,1117,1118,1119,1121,1134,1135,1136,1138,1139,1140,1263,1272,1280,
1287,1298,1304,1309,1317,1323,1327,1328,1336,1337,1338,1340,1342,1345,1353,
1358,1360,1362,1364,1370,1380,1390,1394,1399,1405,1408,1425,1432,1435,1447,
1454,1458,1476,1480,1487,1490,1492,1494,1495,1497,1498,1499,1504,1507,1509,
1510,1540,1543,1549,1551,1555,1556,1586,1733,1752,1754,1770,1773,1786,1791,
1794,1808,1817,1824,1839,1843,1855,1874,2041],[1,2,3,4,5,6,7,11,15,16,17,18,
19,20,22,24,25,26,28,29,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,
52,67,70,72,73,74,76,80,83,84,85,87,88,89,90,91,93,94,98,99,100,101,103,105,
110,112,114,116,119,121,124,126,128,129,130,131,132,133,134,135,136,137,139,
140,141,142,144,147,150,151,153,155,157,158,159,161,163,165,167,168,170,173,
174,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
195,196,197,200,201,202,204,205,206,207,208,210,211,212,213,214,217,218,219,
270,275,276,278,279,283,286,290,294,298,301,302,303,304,306,307,310,311,314,
315,318,319,320,321,322,324,326,328,329,330,332,333,334,339,342,344,346,349,
350,351,352,353,354,355,356,361,362,363,367,370,371,372,375,376,377,379,381,
382,383,385,386,388,391,394,395,396,398,399,400,401,402,403,410,411,412,413,
414,415,417,418,422,424,426,428,431,433,434,436,438,439,446,448,451,452,454,
455,456,457,458,461,462,464,465,469,470,471,472,475,479,482,487,488,489,491,
492,495,498,502,506,507,509,511,512,513,518,519,521,524,526,528,531,535,538,
541,542,543,544,546,549,550,551,552,555,556,564,567,568,569,571,576,578,579,
580,582,584,586,588,589,591,594,691,698,700,702,703,706,710,716,724,730,731,
733,744,747,748,752,753,758,759,766,772,775,777,780,791,794,797,798,802,806,
809,821,826,832,845,846,852,853,856,858,861,862,865,866,867,869,871,873,874,
875,876,877,879,884,890,894,895,896,897,902,903,911,916,917,920,922,923,924,
925,926,927,932,935,936,945,948,951,953,956,961,963,964,965,966,968,969,971,
972,979,981,988,990,991,992,1002,1004,1005,1007,1009,1018,1019,1020,1021,1025,
1026,1027,1031,1036,1040,1041,1042,1044,1048,1057,1061,1070,1076,1077,1082,
1083,1086,1091,1104,1105,1108,1112,1115,1116,1118,1119,1122,1123,1134,1135,
1136,1138,1139,1140,1262,1274,1281,1286,1297,1302,1310,1317,1324,1327,1329,
1335,1337,1339,1341,1342,1343,1353,1356,1361,1362,1363,1364,1371,1379,1390,
1393,1398,1406,1410,1427,1433,1437,1449,1455,1459,1478,1479,1486,1490,1491,
1495,1496,1497,1498,1505,1507,1508,1509,1539,1544,1547,1552,1553,1557,1587,
1588,1734,1753,1754,1769,1775,1786,1789,1795,1809,1815,1822,1838,1842,1854,
1872,2042],[1,2,3,4,5,6,7,11,15,16,19,20,22,24,25,26,28,29,31,32,33,35,36,38,
40,41,43,44,45,47,49,50,67,69,70,71,72,73,74,76,82,84,85,89,93,100,101,103,
104,107,108,111,112,116,119,124,125,126,128,129,130,131,132,133,134,135,138,
139,140,141,144,147,150,151,156,157,158,162,163,164,167,169,173,176,177,178,
181,182,183,184,185,187,188,189,192,195,197,200,201,203,205,207,209,212,215,
216,217,267,268,277,278,279,281,283,286,293,295,300,301,302,305,306,308,310,
314,316,319,321,322,324,329,331,333,336,337,339,345,347,348,356,357,358,364,
368,369,371,374,376,378,386,387,393,397,399,403,404,410,413,414,416,417,419,
421,424,429,433,436,439,446,447,448,449,450,452,453,454,456,457,460,462,463,
464,471,473,474,480,484,485,486,487,488,489,494,495,500,502,505,513,519,522,
523,528,529,531,534,539,548,552,555,560,562,569,573,574,575,576,579,580,583,
587,593,689,695,696,707,709,710,714,722,723,725,736,738,742,744,746,754,756,
775,780,783,788,791,798,803,807,810,811,813,815,816,821,822,832,844,848,850,
855,858,861,866,868,870,872,880,882,883,890,892,893,901,902,905,921,928,930,
939,940,944,945,946,950,952,954,959,963,974,976,978,982,984,985,986,994,1003,
1005,1008,1014,1016,1018,1021,1026,1029,1031,1039,1042,1046,1047,1058,1059,
1062,1065,1067,1072,1090,1094,1107,1110,1111,1113,1124,1132,1137,1268,1269,
1278,1289,1299,1307,1312,1316,1323,1325,1330,1332,1338,1344,1346,1348,1361,
1370,1372,1374,1375,1378,1387,1395,1402,1409,1412,1427,1430,1434,1437,1440,
1470,1473,1474,1483,1484,1488,1489,1501,1502,1503,1545,1546,1559,1561,1562,
1564,1585,1736,1750,1751,1766,1772,1793,1798,1799,1804,1819,1831,1840,1849,
1856,1875,2043],[1,2,3,5,6,7,12,13,14,15,17,19,20,21,22,23,24,25,26,27,29,30,
31,32,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,67,68,69,70,71,72,75,
77,78,80,81,83,84,85,86,88,91,92,95,96,97,100,101,102,105,110,111,114,115,116,
119,120,121,122,123,125,126,127,128,129,130,133,138,141,143,146,149,150,155,
156,157,159,162,163,164,165,166,167,169,171,174,176,177,179,180,181,182,183,
184,185,187,188,189,193,194,195,196,197,198,200,201,203,204,206,208,209,210,
211,212,213,216,217,219,266,275,277,280,283,285,287,288,289,291,292,294,297,
298,299,301,302,303,304,305,308,310,313,314,315,316,318,320,321,322,325,330,
331,332,335,337,339,344,346,353,354,355,356,357,358,361,362,363,365,367,375,
376,377,379,380,381,382,383,384,385,386,388,390,393,396,397,398,399,400,401,
402,403,404,407,408,411,412,413,414,415,416,418,420,422,423,424,425,426,428,
432,434,435,440,443,446,447,451,453,456,460,463,470,479,484,486,489,490,493,
495,497,499,500,501,504,506,507,509,514,516,522,524,525,526,527,528,539,543,
553,558,563,573,574,580,587,592,595,692,697,700,706,709,718,727,728,734,743,
750,751,752,758,760,763,764,771,774,776,782,789,790,797,799,800,802,807,808,
817,820,827,844,847,848,852,853,854,856,857,860,861,862,863,867,868,871,874,
875,876,878,879,885,888,891,894,896,897,899,909,924,925,927,928,940,946,949,
956,961,962,964,967,969,970,971,972,973,975,977,979,980,988,989,992,993,1004,
1005,1010,1015,1016,1017,1020,1023,1025,1028,1029,1030,1033,1035,1036,1041,
1042,1049,1070,1073,1074,1075,1079,1080,1085,1087,1090,1104,1105,1106,1115,
1117,1118,1119,1121,1124,1134,1135,1136,1138,1139,1140,1265,1273,1276,1287,
1296,1303,1309,1317,1327,1328,1330,1335,1341,1345,1348,1355,1356,1360,1363,
1365,1366,1367,1372,1380,1384,1393,1399,1413,1418,1429,1439,1442,1444,1468,
1471,1476,1480,1485,1486,1487,1490,1491,1494,1496,1498,1504,1507,1509,1510,
1540,1543,1549,1551,1555,1556,1580,1740,1753,1755,1768,1774,1788,1795,1801,
1806,1813,1829,1835,1846,1855,1874,2044],[1,2,3,4,5,6,7,11,15,16,18,19,20,21,
22,24,25,26,28,29,31,32,33,34,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,67,
68,70,72,73,74,76,80,83,84,85,87,89,90,93,94,99,100,101,103,105,110,112,114,
116,117,119,121,124,125,126,128,129,131,132,134,135,136,137,138,139,140,141,
142,144,147,153,155,157,159,161,163,165,166,167,168,173,175,176,177,178,179,
180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,205,206,208,210,211,212,213,217,218,219,266,276,278,279,283,
284,286,290,294,298,301,302,303,304,306,309,311,312,313,314,315,316,317,320,
321,322,323,324,329,330,332,333,338,339,344,346,352,353,354,355,356,359,360,
361,362,363,365,366,375,376,377,378,381,382,383,384,385,386,389,391,394,395,
396,398,399,400,401,402,403,405,406,410,411,412,413,414,415,418,420,421,424,
425,426,427,431,434,435,439,442,446,448,449,451,452,454,455,457,458,459,461,
462,464,465,466,469,471,472,473,478,482,487,489,491,492,495,496,497,498,500,
501,502,503,506,507,509,513,518,521,524,525,526,528,538,541,542,544,545,555,
556,564,569,570,571,572,574,575,579,584,585,586,588,589,590,591,594,691,698,
701,702,706,710,711,716,727,729,733,742,748,752,753,757,759,763,766,772,775,
777,780,788,795,798,802,806,809,817,821,826,845,846,849,852,853,855,860,861,
862,865,867,869,871,874,875,876,877,879,884,887,890,894,895,896,897,900,901,
907,908,910,911,923,924,925,926,927,929,941,942,943,945,948,957,960,963,964,
965,966,968,969,971,972,975,977,979,981,988,990,991,992,1003,1006,1007,1008,
1015,1016,1017,1019,1022,1027,1028,1029,1030,1032,1035,1038,1039,1043,1044,
1047,1071,1073,1076,1077,1082,1083,1086,1091,1104,1105,1115,1116,1118,1119,
1122,1123,1125,1126,1134,1135,1136,1138,1139,1140,1264,1274,1277,1286,1295,
1302,1310,1317,1327,1329,1331,1336,1340,1342,1344,1349,1355,1358,1359,1362,
1365,1366,1367,1373,1379,1384,1394,1398,1414,1419,1430,1440,1443,1446,1467,
1472,1478,1479,1485,1486,1487,1492,1494,1496,1499,1505,1507,1508,1509,1539,
1544,1547,1552,1553,1557,1581,1582,1741,1752,1755,1767,1775,1788,1794,1800,
1807,1814,1830,1834,1845,1854,1873,2045],[1,2,3,4,5,6,7,12,13,14,15,16,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,
49,50,51,52,67,68,69,70,72,73,74,75,77,78,80,81,82,84,85,86,87,92,93,94,95,96,
97,99,100,101,102,103,104,108,112,114,115,116,117,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,134,135,136,137,138,139,140,141,142,143,145,148,
153,155,156,158,162,164,165,168,169,172,173,176,177,178,179,181,182,183,184,
186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,209,210,211,212,213,217,218,219,266,276,278,280,283,284,285,287,288,
289,291,292,293,297,298,299,300,302,303,304,306,309,311,312,313,314,315,316,
317,318,319,322,323,325,329,330,331,332,335,338,339,344,346,352,353,354,355,
356,359,360,361,362,363,364,368,375,376,377,379,380,381,382,383,384,385,386,
387,392,394,395,396,397,398,399,400,401,403,406,407,409,411,412,413,414,416,
417,419,422,423,424,425,426,429,430,433,441,443,446,447,448,449,450,452,454,
455,457,458,459,461,462,464,465,466,469,471,472,473,480,483,485,490,491,494,
495,496,497,498,499,500,501,502,503,504,505,508,515,517,522,523,526,527,537,
541,542,544,545,554,557,562,569,570,571,572,574,575,576,584,585,586,588,589,
590,592,595,692,699,701,702,705,710,711,717,727,728,729,735,743,749,751,753,
756,761,762,765,770,773,777,781,789,790,796,799,800,801,805,810,816,819,828,
845,847,849,852,854,856,857,860,861,862,864,866,869,870,874,875,876,877,878,
879,886,888,891,895,896,897,900,901,907,908,910,911,923,924,926,927,929,941,
942,943,944,949,958,959,962,963,965,966,968,970,972,973,974,976,978,981,987,
990,991,993,1002,1006,1007,1009,1015,1016,1017,1018,1021,1026,1028,1029,1030,
1031,1034,1037,1040,1043,1044,1048,1069,1072,1074,1075,1078,1081,1084,1088,
1089,1104,1106,1115,1116,1117,1120,1122,1123,1125,1126,1134,1135,1136,1138,
1139,1140,1265,1272,1277,1288,1296,1304,1308,1317,1326,1329,1331,1337,1340,
1342,1343,1349,1354,1357,1361,1364,1365,1366,1367,1373,1380,1383,1392,1397,
1412,1417,1428,1438,1441,1445,1466,1470,1477,1480,1485,1486,1487,1490,1491,
1495,1497,1505,1506,1508,1510,1541,1542,1548,1550,1554,1558,1581,1582,1742,
1754,1755,1768,1773,1787,1796,1802,1807,1812,1828,1833,1847,1853,1872,2046],[
1,2,3,4,5,6,11,15,16,18,19,20,22,25,26,28,29,31,32,34,35,38,40,44,45,47,49,50,
67,69,71,72,73,76,82,84,85,87,89,93,94,99,100,101,104,108,111,116,119,125,130,
131,133,134,136,137,138,139,141,142,144,147,150,151,153,156,158,164,169,173,
176,177,178,181,182,185,186,187,189,190,191,195,200,202,203,205,207,209,212,
213,215,216,218,268,276,277,279,281,283,286,293,295,302,303,305,308,310,311,
316,319,321,324,327,329,331,333,336,337,341,345,347,348,354,355,361,364,368,
369,371,374,376,378,381,386,387,393,395,397,401,404,410,413,417,419,421,429,
433,436,439,444,445,447,450,452,453,456,458,460,461,463,466,469,471,474,480,
484,485,494,495,498,500,505,510,512,513,519,523,531,534,539,541,542,545,548,
551,555,562,568,572,573,581,582,583,587,589,590,593,689,702,707,709,714,722,
725,732,738,742,744,746,749,754,756,766,769,772,780,783,788,791,811,813,815,
816,821,822,832,844,848,850,855,858,866,868,872,876,880,882,883,889,890,892,
893,904,908,917,918,921,925,930,931,934,939,940,950,952,954,959,966,974,976,
980,982,984,985,986,994,1003,1005,1012,1014,1016,1018,1026,1029,1031,1039,
1042,1047,1058,1059,1062,1065,1067,1072,1081,1094,1107,1110,1111,1113,1117,
1121,1132,1137,1269,1270,1280,1284,1289,1307,1312,1316,1323,1325,1328,1333,
1336,1338,1346,1348,1364,1370,1372,1374,1378,1385,1395,1402,1407,1417,1443,
1446,1449,1453,1459,1466,1473,1474,1483,1484,1488,1489,1501,1502,1503,1545,
1546,1559,1561,1562,1564,1586,1731,1751,1765,1772,1792,1797,1798,1808,1811,
1825,1836,1848,1856,1875,2047],[1,2,3,5,6,7,15,17,19,20,22,24,25,26,29,31,32,
35,36,37,38,40,42,44,47,49,52,67,69,70,72,82,83,84,85,88,89,91,100,101,104,
105,107,108,110,111,116,119,125,130,133,138,141,150,151,155,156,157,158,161,
162,163,164,165,169,174,176,177,178,179,181,185,187,193,196,200,203,205,206,
207,209,210,212,215,216,219,220,265,267,275,283,286,293,294,295,310,315,316,
319,321,329,330,331,332,333,336,337,344,345,347,348,364,367,369,371,374,378,
385,388,417,419,421,426,428,433,436,444,445,456,467,470,475,479,484,490,494,
495,500,505,506,507,508,509,519,521,522,523,524,526,527,528,529,530,531,534,
539,543,546,560,561,562,573,583,587,591,592,593,594,595,596,597,598,599,600,
601,602,688,700,703,705,706,712,714,736,737,738,741,746,754,758,788,791,793,
797,811,813,814,815,816,818,832,835,836,837,855,858,862,880,882,883,889,892,
893,913,914,915,921,930,939,940,948,949,950,952,954,956,961,976,984,985,986,
994,1034,1038,1052,1053,1054,1055,1058,1059,1062,1065,1067,1070,1072,1102,
1103,1107,1110,1111,1113,1132,1137,1141,1142,1143,1144,1145,1147,1149,1151,
1259,1283,1301,1311,1314,1318,1322,1354,1358,1368,1369,1389,1391,1393,1415,
1460,1461,1462,1463,1464,1501,1502,1513,1518,1523,1524,1537,1545,1546,1559,
1561,1562,1569,1570,1571,1589,1590,1592,1593,1596,1603,1606,1607,1610,1738,
1746,1821,1852,1859,1866,1871,1879,1882,1886,1891,2048],[1,2,3,4,5,6,7,12,13,
14,15,16,17,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,43,44,45,
47,49,50,51,69,70,71,72,73,74,78,80,81,84,86,88,89,91,92,93,95,96,97,100,101,
103,111,112,114,115,116,118,119,120,121,122,123,128,131,132,133,134,135,138,
139,140,146,147,149,150,151,153,155,156,157,158,159,161,162,163,164,165,167,
168,169,171,176,177,178,179,181,182,183,189,192,194,195,198,205,206,207,209,
210,211,212,213,215,219,220,268,269,273,274,275,277,278,286,287,289,292,297,
298,302,303,304,305,306,308,313,319,329,330,331,332,336,344,346,352,353,354,
355,356,361,362,363,368,381,382,383,386,392,393,394,395,396,399,400,401,402,
403,404,405,411,412,413,414,415,416,429,430,439,442,450,451,452,453,454,460,
461,471,473,474,475,476,482,483,484,485,486,487,489,490,491,513,514,516,519,
521,522,526,527,528,531,532,537,538,539,546,548,552,553,558,583,591,592,593,
594,595,596,597,598,599,600,601,602,693,703,707,708,716,717,718,722,723,734,
759,760,761,767,768,769,770,771,772,776,777,778,779,786,801,802,805,806,807,
821,822,824,830,839,840,841,846,847,848,864,868,869,877,878,879,887,894,895,
896,897,898,912,926,927,939,948,949,959,965,966,967,968,969,970,980,981,982,
987,988,989,990,1011,1013,1014,1045,1046,1050,1077,1078,1079,1080,1081,1082,
1086,1087,1088,1089,1090,1091,1094,1100,1101,1104,1105,1106,1121,1122,1123,
1134,1135,1136,1141,1142,1143,1144,1145,1146,1148,1151,1260,1275,1291,1292,
1305,1320,1321,1332,1350,1351,1374,1385,1386,1402,1411,1431,1450,1451,1452,
1456,1504,1505,1511,1512,1526,1527,1538,1542,1543,1544,1547,1548,1549,1574,
1576,1577,1589,1591,1594,1595,1599,1605,1608,1609,1613,1730,1749,1827,1851,
1861,1864,1868,1877,1881,1884,1892,2049],[1,2,3,5,6,7,12,13,14,15,17,19,20,22,
24,25,26,27,29,30,31,32,35,36,37,38,39,40,42,43,44,45,47,49,51,69,70,71,72,78,
80,81,83,84,86,88,89,91,92,95,96,97,100,101,105,107,110,111,114,115,116,118,
119,120,121,122,123,124,126,128,129,133,138,146,149,150,151,155,156,157,158,
159,161,162,163,164,165,167,168,169,171,176,177,178,181,182,183,184,188,189,
194,198,201,205,207,210,211,212,213,215,217,219,220,267,269,273,274,275,277,
286,287,289,292,294,297,298,300,301,302,303,304,305,313,319,322,329,332,336,
339,344,346,352,353,354,355,356,361,363,376,377,381,382,383,392,393,394,396,
397,398,399,400,401,402,403,405,412,414,415,416,430,442,446,448,450,451,453,
460,468,474,475,484,486,489,490,491,492,493,514,516,519,521,522,526,527,528,
530,531,536,539,546,553,558,561,563,564,574,580,583,591,593,594,596,597,598,
599,600,601,602,693,695,697,698,703,707,713,718,734,737,750,752,753,759,760,
761,767,771,773,775,776,778,779,786,801,803,804,807,809,824,830,839,840,844,
846,847,852,854,864,871,877,887,895,896,897,898,912,923,926,939,946,948,963,
968,969,972,973,978,979,980,987,988,989,991,992,993,1011,1012,1013,1045,1050,
1074,1076,1077,1078,1080,1083,1084,1085,1087,1090,1100,1101,1104,1115,1116,
1119,1120,1121,1135,1139,1140,1141,1142,1143,1144,1145,1146,1148,1151,1261,
1275,1291,1294,1305,1319,1320,1333,1350,1351,1387,1401,1404,1424,1431,1451,
1452,1456,1506,1508,1511,1516,1528,1532,1538,1539,1541,1543,1552,1555,1556,
1575,1578,1579,1589,1591,1594,1595,1598,1604,1608,1609,1612,1729,1747,1827,
1851,1862,1865,1867,1876,1880,1885,1893,2050],[1,2,3,5,6,7,19,20,21,22,24,25,
26,29,31,35,36,37,38,40,42,44,47,48,49,67,68,69,70,82,83,84,85,100,101,104,
105,107,108,110,111,116,125,138,141,150,151,155,156,157,158,161,162,163,164,
165,166,169,176,177,178,179,180,200,203,205,206,207,208,209,210,212,215,219,
220,265,266,267,283,293,294,295,316,319,320,329,330,331,332,333,336,344,345,
347,348,364,365,369,371,374,417,418,419,420,433,434,435,436,444,445,495,497,
500,501,505,506,507,508,509,519,521,522,523,524,525,526,527,528,529,530,531,
534,539,560,561,562,583,591,592,593,594,595,596,597,598,599,600,601,602,688,
705,706,727,736,737,738,741,762,763,811,813,814,815,816,817,818,832,835,836,
837,866,867,882,883,889,892,893,913,914,915,930,939,948,949,974,975,976,977,
984,985,986,1052,1053,1054,1055,1056,1057,1058,1059,1062,1072,1073,1102,1103,
1107,1110,1137,1141,1142,1143,1144,1145,1147,1149,1151,1258,1283,1301,1314,
1322,1352,1353,1368,1369,1383,1384,1420,1460,1461,1462,1463,1469,1503,1518,
1521,1537,1545,1564,1568,1572,1573,1589,1590,1592,1593,1597,1602,1606,1607,
1611,1743,1745,1821,1852,1860,1863,1870,1878,1883,1887,1894,2051],[1,2,3,5,6,
15,17,19,20,22,25,26,29,31,32,35,38,40,43,44,47,48,49,67,69,72,82,84,85,88,89,
91,100,101,104,108,111,116,119,125,130,133,138,141,150,151,156,158,164,169,
176,177,178,180,181,183,185,187,200,203,205,207,208,209,211,212,215,216,220,
265,275,283,286,293,295,300,304,310,316,319,320,321,329,331,333,336,337,345,
346,347,348,352,363,364,369,371,374,377,378,399,411,416,417,418,419,421,433,
434,436,444,445,456,467,470,475,484,490,494,495,500,505,508,519,523,527,531,
534,539,543,546,562,573,583,587,593,596,597,598,688,700,703,705,712,714,738,
741,746,754,788,791,793,811,813,814,815,816,832,836,837,855,858,867,870,874,
880,882,883,889,892,893,921,926,930,939,940,950,952,954,976,984,985,986,994,
1020,1025,1052,1054,1056,1058,1059,1062,1065,1067,1072,1102,1103,1106,1107,
1110,1111,1113,1120,1132,1137,1141,1146,1148,1259,1271,1311,1314,1318,1322,
1326,1352,1363,1368,1389,1391,1499,1500,1501,1502,1513,1518,1523,1524,1537,
1545,1546,1559,1561,1562,1568,1570,1572,1591,1597,1601,1603,1611,1746,1785,
1820,1858,1860,1866,1870,2052],[1,2,3,5,6,19,20,21,22,25,26,29,31,35,38,40,43,
44,47,49,52,67,68,69,82,84,85,100,101,104,108,111,116,125,138,141,150,151,156,
158,164,169,176,177,178,183,193,196,200,203,205,207,209,211,212,215,220,265,
266,283,293,295,300,304,315,316,319,329,331,333,336,345,346,347,348,352,363,
364,369,371,374,377,385,399,411,416,417,419,426,433,436,444,445,495,497,500,
501,505,508,519,523,527,531,534,539,562,583,593,596,597,598,688,705,727,738,
741,762,811,813,814,815,816,832,836,837,862,866,870,874,882,883,889,892,893,
926,930,939,974,976,984,985,986,1015,1030,1034,1052,1054,1058,1059,1062,1072,
1102,1103,1106,1107,1110,1120,1137,1141,1146,1148,1258,1271,1314,1322,1326,
1354,1367,1368,1383,1495,1500,1503,1518,1521,1537,1545,1564,1569,1571,1573,
1591,1596,1601,1602,1610,1745,1787,1820,1858,1859,1863,1871,2053],[1,2,3,4,5,
6,7,12,13,14,15,16,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,
43,44,45,47,49,51,69,70,71,72,73,74,78,80,81,84,86,89,92,93,95,96,97,100,101,
103,111,112,114,115,116,118,119,120,121,122,123,128,131,132,133,134,135,138,
139,140,150,153,155,156,157,158,159,161,162,163,164,165,167,168,169,176,177,
178,179,181,182,183,187,189,192,194,198,200,205,206,207,209,210,211,212,213,
219,220,268,269,273,274,277,278,286,287,289,292,297,298,302,303,304,305,306,
310,313,319,329,330,331,332,333,344,345,346,347,352,353,354,355,356,361,362,
363,364,371,376,378,381,382,383,392,393,394,395,396,397,399,400,401,402,403,
405,408,411,412,413,414,415,416,417,430,436,440,442,450,451,452,453,454,460,
461,471,473,474,476,482,483,484,485,486,487,489,490,491,521,522,526,527,528,
531,532,537,538,539,548,552,591,592,594,595,596,597,598,693,707,708,716,717,
718,722,723,759,760,761,767,768,769,770,771,772,776,777,778,779,801,802,805,
806,807,839,840,841,844,846,847,858,864,868,869,872,877,878,879,885,887,894,
895,896,897,926,927,930,948,949,965,966,967,968,969,970,980,981,987,988,989,
990,1011,1012,1026,1039,1045,1077,1078,1079,1080,1081,1082,1086,1087,1088,
1089,1090,1091,1100,1101,1104,1105,1106,1110,1113,1121,1122,1123,1134,1135,
1136,1141,1147,1149,1260,1266,1291,1292,1320,1321,1325,1333,1338,1350,1385,
1386,1484,1493,1504,1505,1511,1512,1526,1527,1538,1542,1543,1544,1547,1548,
1549,1575,1577,1579,1590,1598,1601,1605,1612,1749,1792,1818,1857,1862,1864,
1867,2054],[1,2,3,5,6,7,12,13,14,15,19,20,22,24,25,26,27,29,30,31,32,35,36,37,
38,39,40,42,43,44,45,47,49,50,51,69,70,71,72,78,80,81,83,84,86,89,92,95,96,97,
100,101,105,107,110,111,114,115,116,118,119,120,121,122,123,124,126,128,129,
133,138,150,155,156,157,158,159,161,162,163,164,165,167,168,169,176,177,178,
181,182,183,184,187,188,189,194,195,198,200,201,205,207,210,211,212,213,217,
219,220,267,269,273,274,277,286,287,289,292,294,297,298,300,301,302,303,304,
305,308,310,313,319,322,329,332,333,339,344,345,346,347,352,353,354,355,356,
361,363,364,371,376,377,378,381,382,383,386,392,393,394,396,397,398,399,400,
401,402,403,404,405,408,412,414,415,416,417,430,436,440,442,446,448,450,451,
453,460,468,474,484,486,489,490,491,492,493,521,522,526,527,528,530,531,536,
539,561,563,564,574,580,591,594,596,597,598,693,695,697,698,707,713,718,737,
750,752,753,759,760,761,767,771,773,775,776,778,779,801,803,804,807,809,839,
840,844,846,847,848,852,854,858,864,871,872,877,885,887,895,896,897,923,926,
930,946,948,963,968,969,972,973,978,979,980,987,988,989,991,992,993,1008,1011,
1021,1045,1046,1074,1076,1077,1078,1080,1083,1084,1085,1087,1090,1100,1101,
1104,1110,1113,1115,1116,1119,1120,1121,1135,1139,1140,1141,1147,1149,1261,
1266,1291,1294,1319,1320,1325,1332,1350,1375,1387,1401,1489,1493,1506,1508,
1511,1516,1528,1532,1538,1539,1541,1543,1552,1555,1556,1574,1576,1578,1590,
1599,1601,1604,1613,1747,1793,1818,1857,1861,1865,1868,2055],[1,2,5,6,8,10,11,
19,20,22,25,38,44,59,62,65,67,76,101,125,138,200,222,226,228,230,236,243,279,
378,500,608,616,642,647,742,1154,1162,1165,1175,1634,1667,1901,2056],[1,2,4,5,
8,10,11,19,22,25,28,38,45,54,62,63,73,76,101,134,139,182,222,226,228,230,236,
243,279,376,452,607,620,646,647,766,1154,1162,1165,1175,1631,1669,1901,2057],[
1,5,7,8,9,19,35,36,49,57,64,66,82,107,162,163,209,221,228,233,238,241,265,445,
560,605,629,655,660,818,1153,1161,1164,1177,1640,1673,1900,2058],[1,5,6,8,9,
19,20,35,47,56,64,65,67,82,164,178,221,228,233,238,241,265,374,523,606,622,
642,655,741,1153,1161,1164,1177,1633,1666,1900,2059],[1,2,4,5,8,10,11,16,19,
22,25,28,38,45,50,54,61,62,76,93,101,131,139,144,173,189,195,222,226,228,230,
236,243,246,258,279,386,410,471,555,604,619,620,625,640,647,681,780,1154,1162,
1165,1175,1192,1236,1621,1632,1642,1691,1901,2060],[1,2,3,4,6,8,10,11,12,13,
15,16,18,23,30,31,34,48,50,52,54,61,62,65,75,90,96,99,144,145,147,148,154,160,
196,197,208,222,226,230,231,232,235,237,239,243,246,252,258,260,271,407,431,
432,477,517,518,604,625,634,635,639,640,641,645,653,677,681,825,1154,1155,
1167,1169,1172,1178,1196,1201,1230,1235,1621,1624,1644,1646,1689,1700,1903,
2061],[1,5,7,8,9,19,35,36,49,57,58,64,82,107,162,163,209,221,228,233,238,241,
253,259,265,445,560,603,629,632,636,655,679,818,1153,1161,1164,1177,1220,1238,
1622,1640,1647,1701,1900,2062],[1,5,6,7,8,9,19,20,21,36,37,48,49,57,58,64,65,
67,68,83,163,165,166,179,180,221,228,229,233,234,241,242,253,254,259,260,266,
434,435,524,525,603,629,630,636,637,642,643,679,680,763,1152,1153,1166,1170,
1171,1208,1209,1232,1233,1622,1623,1648,1693,1694,1902,2063],[1,3,5,6,8,9,19,
20,21,23,27,30,32,39,40,46,55,56,64,65,67,68,86,102,114,115,127,143,204,221,
228,229,233,234,239,241,242,249,251,263,266,285,318,499,504,606,614,621,642,
643,656,663,683,728,1152,1153,1166,1170,1171,1184,1188,1205,1225,1618,1627,
1656,1680,1902,2064],[1,4,5,6,7,8,9,19,20,21,24,28,34,41,43,45,54,57,64,65,66,
67,68,87,103,117,124,126,139,140,142,201,202,221,228,229,233,234,240,241,242,
248,252,262,266,284,317,496,498,502,503,605,615,620,642,643,657,664,684,729,
1152,1153,1166,1170,1171,1183,1189,1204,1226,1619,1626,1657,1681,1902,2065],[
1,2,5,11,19,22,25,35,38,53,69,71,76,82,101,104,108,111,225,265,277,279,281,
293,295,609,688,689,1256,1629,1910,2066],[1,2,3,5,15,19,22,25,26,29,32,35,38,
44,47,53,69,72,82,84,89,101,104,108,111,119,130,133,150,156,158,169,178,181,
185,200,212,224,225,265,286,293,295,321,333,369,371,374,378,419,456,467,484,
490,494,505,531,534,610,688,712,714,746,754,814,815,880,882,1311,1629,1909,
1910,2067],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,53,67,69,82,84,85,
100,101,104,108,111,116,125,138,150,156,158,164,169,176,178,200,205,212,223,
224,225,265,283,293,295,329,333,369,371,374,417,419,500,505,508,523,527,531,
534,539,562,611,688,705,738,741,811,813,814,815,816,882,883,1314,1629,1908,
1909,1910,2068],[1,3,5,19,26,29,35,44,47,52,53,82,84,156,169,178,193,200,220,
224,265,369,419,426,505,534,596,613,814,1034,1102,1571,1629,1909,2069],[1,5,6,
19,20,35,47,48,53,67,82,164,178,180,220,223,265,374,434,523,596,612,741,1056,
1103,1572,1629,1908,2070],[1,4,6,8,10,23,34,48,53,54,59,61,63,65,160,222,223,
235,237,239,252,257,260,264,604,607,608,612,634,635,677,687,1155,1157,1251,
1255,1624,1719,1911,2071],[1,6,7,8,9,21,37,48,53,56,57,58,65,66,166,221,223,
229,234,242,254,255,260,264,603,605,606,612,630,637,680,687,1152,1156,1253,
1255,1623,1720,1912,2072],[1,2,3,5,6,10,11,12,13,14,15,19,20,21,22,23,25,26,
27,29,30,31,32,38,39,40,44,46,59,67,68,72,75,76,77,78,80,81,84,85,86,89,90,92,
95,96,97,100,101,102,114,115,116,118,119,120,121,122,123,125,127,138,141,143,
200,203,204,230,232,236,237,266,269,271,272,273,274,279,280,283,285,286,287,
288,289,290,291,292,297,298,299,316,318,378,379,380,421,422,423,495,497,499,
500,501,504,616,617,691,692,693,694,727,728,742,743,788,789,790,855,856,857,
1162,1163,1168,1169,1257,1262,1263,1295,1296,1634,1635,1721,1914,2073],[1,2,3,
5,6,10,11,12,13,14,15,17,19,20,22,23,25,26,27,29,30,31,32,38,39,40,44,47,51,
60,67,72,75,76,77,78,80,81,84,85,86,88,89,90,91,92,95,96,97,100,101,102,114,
115,116,118,119,120,121,122,123,130,133,141,146,149,150,151,158,171,178,187,
194,198,200,207,230,232,236,237,269,271,272,273,274,275,279,280,283,285,286,
287,288,289,290,291,292,297,298,299,310,313,319,371,384,392,405,408,417,425,
430,433,436,440,442,456,470,475,495,514,516,519,531,543,546,553,558,618,633,
638,691,692,693,694,700,703,734,744,782,786,791,820,824,827,830,832,858,860,
864,866,885,887,1162,1163,1168,1169,1257,1264,1266,1272,1297,1303,1305,1636,
1643,1645,1722,1914,2074],[1,2,3,4,5,6,10,11,12,13,14,15,16,18,19,20,22,23,25,
26,27,28,29,30,31,32,34,38,39,40,45,48,50,52,61,67,72,75,76,77,78,80,81,84,85,
86,87,89,90,92,93,94,95,96,97,99,100,101,102,114,115,116,118,119,120,121,122,
123,131,136,139,142,144,145,147,148,152,154,160,172,173,180,186,189,193,195,
196,197,202,208,230,232,236,237,269,271,272,273,274,276,279,280,283,285,286,
287,288,289,290,291,292,297,298,299,311,314,315,320,373,385,386,390,391,407,
409,410,418,424,426,431,432,434,437,439,441,443,458,469,471,477,498,513,515,
517,518,520,533,541,542,547,554,555,556,557,619,634,639,640,691,692,693,694,
702,704,733,735,745,780,781,787,792,819,821,825,826,828,829,831,833,859,861,
862,863,865,867,884,886,888,1162,1163,1168,1169,1257,1265,1267,1273,1274,1298,
1302,1304,1306,1637,1641,1642,1646,1723,1914,2075],[1,2,5,7,8,11,19,22,24,25,
35,36,38,43,49,57,69,70,71,76,82,101,104,107,108,111,124,128,157,162,163,177,
183,209,226,228,265,267,277,279,281,293,295,300,331,393,399,413,416,444,445,
448,486,522,528,529,560,615,629,688,689,695,736,798,807,810,818,835,868,870,
889,1161,1165,1256,1270,1271,1299,1301,1639,1640,1725,1913,2076],[1,2,4,5,8,
11,16,19,22,25,28,35,38,45,50,54,69,71,73,76,82,93,101,104,108,111,131,134,
139,144,173,182,189,195,226,228,265,268,277,279,281,293,295,305,308,376,386,
387,397,404,410,452,471,480,485,548,555,620,625,688,689,722,725,749,756,766,
780,783,844,848,850,1161,1165,1256,1268,1269,1284,1289,1631,1632,1724,1913,
2077],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,65,67,69,71,
72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,
150,156,158,164,169,176,178,181,185,200,205,212,226,228,265,277,279,281,283,
286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,447,450,453,
456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,642,653,
656,688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,
813,814,815,816,872,880,882,883,890,1161,1165,1256,1307,1311,1312,1314,1378,
1381,1650,1666,1667,1726,1913,2078],[1,2,3,5,6,10,11,12,13,14,15,19,20,22,23,
25,26,27,29,30,31,32,35,38,39,40,44,47,62,67,69,71,72,75,76,77,78,80,81,82,84,
85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,121,
122,123,125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,230,
232,236,237,269,271,272,273,274,277,279,280,281,283,285,286,287,288,289,290,
291,292,293,295,297,298,299,302,321,324,329,333,375,382,394,400,402,412,447,
450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,
644,647,658,689,691,692,693,694,699,705,707,709,712,714,718,719,738,751,761,
764,767,771,774,776,778,799,801,846,853,875,877,890,1162,1163,1168,1169,1257,
1287,1291,1293,1308,1379,1381,1651,1668,1671,1727,1914,2079],[1,2,3,4,5,6,7,
10,11,12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,
42,43,45,49,63,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,89,90,92,95,96,
97,100,101,102,103,105,106,109,110,112,113,114,115,116,118,119,120,121,122,
123,124,126,128,129,134,135,139,140,153,155,157,159,163,165,167,168,177,179,
182,183,188,201,206,211,213,230,232,236,237,269,271,272,273,274,278,279,280,
282,283,285,286,287,288,289,290,291,292,294,296,297,298,299,303,304,322,325,
330,335,376,377,381,383,396,399,401,403,411,413,446,448,451,452,454,457,461,
462,464,468,476,482,483,489,491,492,493,502,506,507,509,524,526,528,532,536,
537,538,563,564,646,649,659,690,691,692,693,694,697,698,706,708,710,713,715,
716,717,720,721,740,752,753,759,760,765,766,768,770,772,773,775,777,779,798,
800,802,847,852,854,874,876,878,879,891,1162,1163,1168,1169,1257,1286,1288,
1292,1294,1309,1310,1380,1382,1652,1669,1670,1672,1728,1914,2080],[1,2,3,4,5,
6,7,8,11,12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,
41,42,43,45,49,54,57,65,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,89,90,
92,95,96,97,100,101,102,103,105,106,109,110,112,113,114,115,116,118,119,120,
121,122,123,124,126,128,129,134,135,139,140,153,155,157,159,163,165,167,168,
177,179,182,183,188,201,206,211,213,226,228,239,248,254,269,271,272,273,274,
278,279,280,282,283,285,286,287,288,289,290,291,292,294,296,297,298,299,303,
304,322,325,330,335,376,377,381,383,396,399,401,403,411,413,446,448,451,452,
454,457,461,462,464,468,476,482,483,489,491,492,493,502,506,507,509,524,526,
528,532,536,537,538,563,564,615,620,629,642,653,656,667,690,691,692,693,694,
697,698,706,708,710,713,715,716,717,720,721,740,752,753,759,760,765,766,768,
770,772,773,775,777,779,798,800,802,847,852,854,874,876,878,879,891,1165,1178,
1184,1204,1206,1209,1218,1257,1286,1288,1292,1294,1309,1310,1380,1382,1631,
1639,1650,1658,1728,1917,1936,1937,2081],[1,2,3,5,6,10,11,15,19,20,22,25,26,
29,31,32,35,38,40,44,47,59,60,62,67,69,71,72,76,80,82,84,85,89,90,100,101,104,
108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,176,178,181,185,
200,205,212,230,236,243,245,256,265,277,279,281,283,286,290,293,295,298,302,
321,324,329,333,369,371,374,378,417,419,447,450,453,456,460,463,467,474,484,
490,494,500,505,508,523,527,531,534,539,562,616,618,633,644,647,658,665,688,
689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,813,814,
815,816,872,880,882,883,890,1162,1175,1176,1195,1197,1199,1221,1256,1307,1311,
1312,1314,1378,1381,1634,1636,1651,1662,1726,1918,1938,1940,2082],[1,2,3,5,6,
9,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,55,56,64,67,69,71,72,76,80,82,
84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,
164,169,176,178,181,185,200,205,212,233,238,241,249,251,265,277,279,281,283,
286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,447,450,453,
456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,622,626,
631,650,655,661,663,688,689,691,699,705,707,709,712,714,718,719,738,741,742,
744,746,754,811,813,814,815,816,872,880,882,883,890,1164,1177,1181,1210,1211,
1212,1223,1256,1307,1311,1312,1314,1378,1381,1633,1638,1649,1660,1726,1916,
1930,1931,2083],[1,2,3,5,6,9,19,20,21,22,25,26,29,31,35,38,40,44,47,64,67,68,
69,82,84,85,100,101,104,108,111,116,125,138,141,150,151,156,158,164,169,176,
178,200,203,205,207,212,215,233,234,238,265,266,283,293,295,316,319,329,333,
336,345,347,348,364,369,371,374,417,419,433,436,495,497,500,501,505,508,519,
523,527,531,534,539,562,583,593,650,655,661,688,705,727,738,741,762,811,813,
814,815,816,832,836,837,866,882,883,892,893,930,939,974,976,984,985,986,1058,
1059,1062,1072,1107,1110,1137,1164,1166,1185,1258,1314,1322,1383,1503,1518,
1521,1545,1564,1649,1674,1676,1707,1745,1915,2084],[1,2,3,4,5,6,7,8,11,15,16,
18,19,20,22,24,25,26,28,29,31,32,34,36,37,38,40,42,43,45,46,49,50,54,57,65,67,
70,72,76,80,83,84,85,87,89,90,93,94,99,100,101,105,110,114,116,119,121,124,
128,131,136,139,142,144,147,155,157,159,163,165,168,170,173,177,179,183,186,
189,195,197,202,204,206,211,226,228,252,254,263,276,279,283,286,290,294,298,
304,311,314,318,330,349,370,377,379,383,386,396,399,410,411,413,422,424,438,
439,448,451,458,469,471,491,492,498,506,507,509,513,518,524,526,528,535,541,
542,555,556,564,615,620,625,629,642,653,656,675,691,698,702,706,733,747,753,
759,780,794,798,802,821,826,856,861,874,879,884,951,953,1002,1036,1040,1061,
1165,1189,1201,1209,1218,1225,1262,1302,1310,1337,1356,1390,1491,1632,1639,
1650,1704,1838,1929,1936,1943,2085],[1,2,3,4,5,10,11,15,16,19,22,25,26,28,29,
32,35,38,44,45,47,50,60,61,62,69,71,72,73,76,82,84,89,93,101,104,108,111,119,
130,131,133,134,139,144,147,150,156,158,169,173,176,178,182,189,195,200,205,
212,230,236,245,246,261,268,277,279,281,286,293,295,305,308,329,333,368,371,
374,378,386,387,404,410,417,419,429,439,450,452,456,460,471,474,480,484,485,
494,505,513,531,534,548,555,618,619,633,640,644,647,658,676,689,707,714,722,
725,744,754,756,780,783,813,815,821,822,848,850,872,883,959,982,1031,1046,
1047,1094,1162,1190,1192,1195,1199,1224,1268,1289,1307,1332,1346,1402,1488,
1636,1642,1651,1703,1840,1933,1940,1941,2086],[1,2,3,5,7,9,15,19,22,24,25,26,
29,32,35,36,38,43,44,47,49,55,58,64,69,70,72,82,84,89,101,104,107,108,111,119,
130,133,150,156,157,158,159,162,163,168,169,177,178,181,183,185,200,209,212,
233,238,251,253,262,265,267,286,293,295,300,321,331,333,353,362,369,371,374,
378,383,396,398,399,415,416,419,444,445,451,456,467,484,490,491,494,505,522,
528,529,531,534,560,626,631,632,636,650,655,661,674,688,712,714,736,746,754,
759,804,814,815,818,835,870,880,882,889,970,971,1024,1053,1055,1079,1084,1164,
1203,1210,1211,1220,1228,1271,1301,1311,1369,1377,1400,1500,1638,1647,1649,
1702,1850,1931,1932,1942,2087],[1,2,3,5,6,7,8,11,15,19,20,21,22,24,25,26,29,
31,32,36,37,38,40,42,43,44,48,49,52,57,65,67,68,70,72,76,80,83,84,85,89,90,
100,101,105,110,114,116,119,121,124,125,128,138,141,155,157,159,163,165,166,
168,177,179,180,183,193,196,200,203,206,208,211,226,228,242,254,260,266,279,
283,286,290,294,298,304,315,316,320,330,365,377,378,383,385,391,396,399,411,
413,418,420,421,426,431,434,435,448,451,491,492,495,497,500,501,506,507,509,
524,525,526,528,564,615,629,642,653,656,680,691,698,706,727,742,753,759,763,
788,798,802,817,855,862,865,867,874,879,975,977,1015,1030,1038,1073,1165,1171,
1209,1218,1230,1232,1274,1295,1310,1358,1367,1384,1499,1639,1650,1667,1693,
1845,1925,1936,1955,2088],[1,2,3,4,5,10,11,15,16,19,22,25,26,28,29,32,35,38,
44,45,47,50,60,62,63,69,71,72,73,76,82,84,89,93,101,104,108,111,119,130,131,
133,134,139,147,150,156,158,169,176,178,182,189,195,200,205,212,230,236,244,
245,258,268,277,279,281,286,293,295,305,308,329,333,368,371,374,376,378,386,
387,397,404,410,417,419,429,439,450,452,456,460,471,474,484,485,494,505,513,
531,534,548,618,633,644,646,647,658,682,689,707,714,722,744,749,754,766,813,
815,821,822,844,848,850,872,883,959,982,1012,1026,1039,1094,1162,1173,1195,
1199,1234,1236,1269,1284,1307,1333,1338,1402,1489,1636,1651,1669,1688,1836,
1927,1940,1952,2089],[1,2,3,5,7,9,15,19,22,24,25,26,29,32,35,36,38,43,44,47,
49,55,64,66,69,70,72,82,84,89,101,104,107,108,111,119,130,133,150,156,157,158,
159,162,163,168,169,177,178,181,183,185,200,209,212,233,238,240,251,259,265,
267,286,293,295,300,321,331,333,353,362,369,371,374,378,383,396,398,399,415,
416,419,444,445,451,456,467,484,490,491,494,505,522,528,529,531,534,560,626,
631,650,655,660,661,678,688,712,714,736,746,754,759,804,814,815,818,835,870,
880,882,889,970,971,1024,1053,1055,1079,1084,1164,1182,1210,1211,1231,1238,
1271,1301,1311,1369,1377,1400,1500,1638,1649,1673,1687,1850,1926,1931,1954,
2090],[1,2,3,5,6,8,11,12,13,14,15,19,20,21,22,23,25,26,27,29,30,31,32,38,39,
40,44,46,65,67,68,72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,100,101,102,
114,115,116,118,119,120,121,122,123,125,127,138,141,143,200,203,204,226,228,
239,242,263,266,269,271,272,273,274,279,280,283,285,286,287,288,289,290,291,
292,297,298,299,316,318,378,379,380,421,422,423,495,497,499,500,501,504,642,
653,656,683,691,692,693,694,727,728,742,743,788,789,790,855,856,857,1165,1171,
1178,1184,1225,1257,1262,1263,1295,1296,1650,1667,1680,1721,1917,1925,1943,
2091],[1,2,5,7,9,11,19,22,24,25,35,36,38,43,49,64,66,69,70,71,76,82,101,104,
107,108,111,124,128,157,162,163,177,183,209,233,238,240,241,262,265,267,277,
279,281,293,295,300,331,393,399,413,416,444,445,448,486,522,528,529,560,650,
655,660,661,684,688,689,695,736,798,807,810,818,835,868,870,889,1164,1177,
1181,1182,1228,1256,1270,1271,1299,1301,1649,1673,1678,1725,1916,1926,1942,
2092],[1,2,4,5,10,11,16,19,22,25,28,35,38,45,50,62,63,69,71,73,76,82,93,101,
104,108,111,131,134,139,144,173,182,189,195,230,236,243,244,261,265,268,277,
279,281,293,295,305,308,376,386,387,397,404,410,452,471,480,485,548,555,644,
646,647,658,685,688,689,722,725,749,756,766,780,783,844,848,850,1162,1173,
1175,1176,1224,1256,1268,1269,1284,1289,1651,1669,1677,1724,1918,1927,1941,
2093],[1,2,3,4,5,6,7,8,11,15,19,20,22,24,25,26,28,29,31,32,33,36,38,40,41,43,
45,46,48,49,52,54,57,65,67,70,72,73,74,76,80,84,85,89,90,100,101,103,112,114,
116,119,121,124,126,128,129,134,135,139,140,153,157,163,167,177,180,182,183,
188,193,196,201,204,208,213,214,226,228,248,260,263,278,279,283,286,290,298,
303,315,318,320,322,334,350,351,372,376,379,381,385,391,399,401,403,413,418,
422,426,431,434,446,448,452,454,457,461,462,464,482,489,502,528,538,615,620,
629,642,653,656,672,691,710,716,752,766,772,775,777,798,852,856,862,865,867,
873,876,922,1009,1048,1108,1112,1165,1204,1206,1225,1230,1232,1262,1274,1286,
1324,1343,1490,1498,1631,1639,1650,1684,1815,1937,1943,1955,2094],[1,2,3,5,6,
9,19,20,22,25,26,29,31,35,38,40,43,44,47,49,55,56,64,67,69,82,84,85,100,101,
104,108,111,116,125,138,150,156,158,164,169,176,177,178,183,200,205,209,211,
212,233,238,249,259,262,265,283,293,295,300,304,329,331,333,346,352,363,369,
371,374,377,399,411,416,417,419,444,445,500,505,508,523,527,531,534,539,562,
622,626,631,650,655,661,671,688,705,738,741,811,813,814,815,816,870,874,882,
883,889,926,1052,1054,1106,1120,1164,1212,1223,1228,1231,1238,1271,1314,1326,
1368,1500,1633,1638,1649,1682,1820,1930,1942,1954,2095],[1,2,3,5,6,10,11,19,
20,22,25,26,29,31,35,38,40,44,45,47,50,59,60,62,67,69,71,76,82,84,85,100,101,
104,108,111,116,125,130,133,138,150,158,164,169,178,181,182,185,189,195,197,
200,212,230,236,256,258,261,277,279,281,283,293,295,305,308,314,321,333,357,
358,369,371,376,378,386,387,397,404,410,417,419,424,447,453,456,463,500,523,
531,534,539,562,616,618,633,644,647,658,673,689,709,738,742,744,746,754,811,
816,844,848,850,861,872,880,928,1029,1042,1124,1162,1197,1221,1224,1234,1236,
1268,1269,1312,1330,1348,1488,1489,1634,1636,1651,1685,1819,1938,1941,1952,
2096],[1,5,6,7,9,19,20,21,35,36,37,47,48,49,58,67,68,82,83,107,161,162,163,
164,165,166,178,179,180,209,210,215,219,220,233,234,238,265,266,336,345,374,
433,434,435,445,523,524,525,560,561,594,595,596,599,601,632,636,637,741,762,
763,818,915,986,1052,1053,1056,1057,1103,1144,1147,1164,1166,1185,1258,1460,
1469,1572,1573,1607,1611,1647,1648,1708,1883,1915,2097],[1,2,4,5,10,11,16,19,
22,25,28,35,38,45,50,61,62,69,71,73,76,82,93,101,104,108,111,131,134,139,144,
173,182,189,195,230,236,243,246,258,265,268,277,279,281,293,295,305,308,376,
386,387,397,404,410,452,471,480,485,548,555,619,640,644,647,658,681,688,689,
722,725,749,756,766,780,783,844,848,850,1162,1175,1176,1190,1192,1234,1236,
1256,1268,1269,1284,1289,1642,1651,1690,1691,1724,1918,1933,1952,2098],[1,2,3,
4,5,6,10,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,38,39,40,
45,48,50,52,61,62,67,72,75,76,77,78,80,81,84,85,86,87,89,90,92,93,94,95,96,97,
99,100,101,102,114,115,116,118,119,120,121,122,123,131,136,139,142,144,145,
147,148,152,154,160,172,173,180,186,189,193,195,196,197,202,208,230,231,235,
243,246,258,269,271,272,273,274,276,279,280,283,285,286,287,288,289,290,291,
292,297,298,299,311,314,315,320,373,385,386,390,391,407,409,410,418,424,426,
431,432,434,437,439,441,443,458,469,471,477,498,513,515,517,518,520,533,541,
542,547,554,555,556,557,635,640,641,645,647,648,662,681,691,692,693,694,702,
704,733,735,745,780,781,787,792,819,821,825,826,828,829,831,833,859,861,862,
863,865,867,884,886,888,1167,1172,1174,1175,1192,1193,1196,1235,1236,1237,
1257,1265,1267,1273,1274,1298,1302,1304,1306,1644,1653,1689,1691,1692,1723,
1919,1935,1953,2099],[1,2,3,4,5,6,8,11,12,13,14,15,16,18,19,20,22,23,25,26,27,
28,29,30,31,32,34,38,39,40,45,48,50,52,54,65,67,72,75,76,77,78,80,81,84,85,86,
87,89,90,92,93,94,95,96,97,99,100,101,102,114,115,116,118,119,120,121,122,123,
131,136,139,142,144,145,147,148,152,154,160,172,173,180,186,189,193,195,196,
197,202,208,226,228,239,252,260,269,271,272,273,274,276,279,280,283,285,286,
287,288,289,290,291,292,297,298,299,311,314,315,320,373,385,386,390,391,407,
409,410,418,424,426,431,432,434,437,439,441,443,458,469,471,477,498,513,515,
517,518,520,533,541,542,547,554,555,556,557,620,625,642,653,656,677,691,692,
693,694,702,704,733,735,745,780,781,787,792,819,821,825,826,828,829,831,833,
859,861,862,863,865,867,884,886,888,1165,1178,1184,1189,1201,1230,1232,1257,
1265,1267,1273,1274,1298,1302,1304,1306,1632,1650,1697,1700,1723,1917,1929,
1955,2100],[1,2,5,7,9,11,19,22,24,25,35,36,38,43,49,58,64,69,70,71,76,82,101,
104,107,108,111,124,128,157,162,163,177,183,209,233,238,241,253,259,265,267,
277,279,281,293,295,300,331,393,399,413,416,444,445,448,486,522,528,529,560,
632,636,650,655,661,679,688,689,695,736,798,807,810,818,835,868,870,889,1164,
1177,1181,1203,1220,1231,1238,1256,1270,1271,1299,1301,1647,1649,1698,1701,
1725,1916,1932,1954,2101],[1,2,3,4,5,6,7,8,11,15,16,18,19,20,21,22,24,25,26,
28,29,31,32,33,34,36,38,40,41,43,44,45,49,50,54,57,65,67,68,70,72,73,74,76,80,
84,85,87,89,90,93,94,99,100,101,103,112,114,116,117,119,121,124,125,126,128,
129,131,132,134,135,136,137,138,139,140,141,142,144,147,153,157,163,167,173,
177,182,183,184,186,188,189,190,191,192,195,197,200,201,202,203,213,217,218,
226,228,242,248,252,266,276,278,279,283,284,286,290,298,303,311,312,314,316,
317,322,323,338,376,378,381,386,399,401,403,410,413,421,424,439,446,448,449,
452,454,455,457,458,459,461,462,464,465,466,469,471,472,473,482,489,495,496,
497,498,500,501,502,503,513,518,528,538,541,542,544,545,555,556,569,570,571,
572,574,575,584,585,586,588,589,590,615,620,625,629,642,653,656,664,691,701,
702,710,711,716,727,729,733,742,752,766,772,775,777,780,788,798,821,826,852,
855,861,876,884,900,901,907,908,910,911,941,942,943,1003,1008,1016,1029,1039,
1047,1165,1171,1189,1201,1204,1206,1277,1286,1295,1302,1336,1344,1365,1430,
1440,1443,1446,1631,1632,1639,1650,1657,1667,1830,1925,1929,1937,1970,1971,
2102],[1,2,3,4,5,6,10,11,16,18,19,20,22,25,26,28,29,31,34,35,38,40,44,45,47,
50,59,60,61,62,63,67,69,71,73,76,82,84,85,87,93,94,99,100,101,104,108,111,116,
125,130,131,133,134,136,137,138,139,142,144,150,158,164,169,173,178,181,182,
185,186,189,190,191,195,200,202,212,218,230,236,244,246,247,256,257,268,276,
277,279,281,283,293,295,305,308,311,321,327,333,341,369,371,376,378,386,387,
397,404,410,417,419,447,452,453,456,458,463,466,469,471,480,485,498,500,510,
512,523,531,534,539,541,542,545,548,551,555,562,568,572,581,582,589,590,616,
618,619,633,640,644,646,647,658,666,689,702,709,722,725,732,738,742,744,746,
749,754,756,766,780,783,811,816,844,848,850,872,880,904,908,917,918,931,934,
1026,1029,1031,1039,1042,1047,1162,1173,1190,1191,1192,1197,1198,1221,1280,
1284,1289,1312,1338,1346,1348,1446,1453,1459,1466,1634,1636,1642,1651,1664,
1669,1825,1927,1933,1938,1962,1965,2103],[1,2,3,4,5,6,7,10,12,16,17,18,20,21,
22,23,24,25,27,28,29,31,33,34,36,37,39,40,41,42,43,44,45,46,48,51,52,59,60,61,
62,63,68,70,71,73,74,78,79,83,85,87,88,93,94,98,99,100,102,103,105,106,109,
110,112,113,117,125,126,127,128,129,130,131,132,133,134,135,136,137,138,140,
141,142,143,145,146,152,160,166,170,171,172,174,175,180,181,183,184,185,186,
187,188,189,190,191,192,193,194,199,201,202,203,204,214,216,217,218,232,236,
237,244,246,247,256,257,268,270,276,278,280,282,284,294,296,306,307,309,312,
323,327,328,334,343,370,372,373,375,377,379,380,384,385,388,389,398,406,408,
409,418,420,449,453,454,455,457,458,459,463,464,465,466,469,470,472,473,478,
479,481,486,487,488,496,497,501,503,504,510,511,512,525,533,535,540,541,543,
544,545,548,549,550,551,552,553,554,559,565,566,567,568,570,573,574,575,576,
577,578,579,580,581,584,585,586,587,588,590,616,617,618,619,634,638,639,644,
646,649,659,666,690,701,711,723,724,726,731,732,739,743,745,747,748,750,755,
757,758,764,765,781,782,784,785,812,817,845,849,851,873,881,905,906,907,909,
910,916,918,919,920,933,937,938,1025,1027,1028,1030,1032,1033,1040,1041,1043,
1044,1048,1049,1163,1173,1190,1191,1194,1197,1198,1222,1282,1285,1290,1313,
1339,1347,1349,1444,1445,1454,1455,1457,1458,1467,1468,1635,1637,1641,1643,
1652,1664,1668,1670,1826,1928,1934,1939,1963,1964,1966,1967,2104],[1,2,3,5,6,
7,9,19,20,22,24,25,26,29,31,35,36,37,38,40,42,44,47,49,55,56,58,64,66,67,69,
70,82,83,84,85,100,101,104,105,107,108,110,111,116,125,138,150,155,156,157,
158,161,162,163,164,165,169,176,177,178,179,200,205,206,209,210,212,219,233,
238,240,249,250,253,255,265,267,283,293,294,295,329,330,331,332,333,344,369,
371,374,417,419,444,445,500,505,506,507,508,509,521,522,523,524,526,527,528,
529,530,531,534,539,560,561,562,591,592,594,595,622,626,631,632,636,650,655,
660,661,668,688,705,706,736,737,738,741,811,813,814,815,816,818,835,882,883,
889,913,914,915,948,949,1052,1053,1054,1055,1164,1182,1203,1212,1213,1217,
1220,1223,1283,1301,1314,1368,1369,1460,1461,1462,1463,1633,1638,1647,1649,
1663,1673,1821,1926,1930,1932,1972,1973,2105],[1,2,3,5,6,9,12,13,14,15,17,19,
20,22,25,26,27,29,30,31,32,35,38,39,40,44,47,51,55,56,64,69,71,72,78,80,81,84,
86,88,89,91,92,95,96,97,100,101,111,114,115,116,118,119,120,121,122,123,133,
138,146,149,150,151,156,158,164,169,171,176,178,181,194,198,205,207,212,215,
227,238,241,249,251,269,273,274,275,277,286,287,289,292,297,298,302,313,319,
329,336,382,392,394,400,402,405,412,430,442,450,453,460,474,475,484,490,514,
516,519,527,531,539,546,553,558,583,593,622,623,624,626,627,631,650,651,652,
661,663,670,693,703,707,718,734,761,767,771,776,778,786,801,824,830,846,864,
877,887,898,912,939,1011,1013,1045,1050,1180,1181,1200,1202,1210,1211,1212,
1214,1216,1223,1240,1275,1291,1305,1350,1351,1431,1451,1452,1456,1655,1660,
1665,1827,1944,1946,1950,2106],[1,2,3,5,6,9,12,13,14,15,17,19,20,21,22,23,25,
26,27,29,30,31,32,35,38,39,40,44,46,47,51,55,56,64,67,68,69,71,72,75,77,78,80,
81,84,85,86,88,91,92,95,96,97,100,101,102,111,114,115,116,119,120,121,122,123,
125,127,130,133,138,141,143,146,149,150,156,164,169,171,176,181,185,187,194,
198,200,203,204,212,216,227,229,238,241,249,251,266,275,277,280,283,285,287,
288,289,291,292,297,298,299,302,310,313,316,318,321,337,375,379,380,382,384,
400,402,408,412,422,423,425,440,447,453,456,460,463,470,484,490,495,497,499,
500,501,504,514,516,527,539,543,553,558,573,587,614,621,622,623,624,626,627,
631,643,650,651,652,661,663,669,692,700,709,718,727,728,734,743,751,764,771,
774,776,782,789,790,799,820,827,853,856,857,860,875,885,899,909,940,1004,1010,
1017,1028,1041,1049,1170,1180,1181,1188,1200,1202,1205,1210,1211,1212,1214,
1216,1223,1241,1276,1287,1296,1303,1335,1345,1366,1429,1439,1442,1444,1654,
1656,1660,1665,1829,1945,1947,1949,2107],[1,3,4,5,6,7,9,12,17,18,20,21,22,23,
24,27,28,29,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,51,52,55,56,58,64,66,
68,69,70,73,74,78,79,83,87,88,94,98,100,102,103,105,106,107,109,110,112,113,
117,125,126,127,129,130,131,132,136,137,141,142,143,145,146,152,155,156,160,
161,162,164,165,166,170,171,172,174,175,176,177,180,181,182,184,186,187,190,
191,193,194,199,202,203,204,210,214,216,218,227,229,238,240,249,250,253,255,
267,270,278,280,282,284,294,296,301,307,309,323,332,334,340,370,372,373,379,
380,384,385,388,389,395,400,401,406,408,409,411,412,414,415,418,420,446,447,
449,455,458,459,465,466,469,470,472,478,479,481,485,487,488,501,503,504,521,
522,525,526,527,530,533,535,540,549,550,551,553,554,559,561,565,570,571,572,
573,577,578,581,582,614,621,622,623,626,627,628,630,632,643,650,651,654,657,
660,668,669,690,696,711,724,726,737,739,743,745,747,755,757,758,781,782,784,
785,799,800,805,806,808,809,812,817,849,851,869,871,873,881,899,900,903,904,
906,947,1002,1004,1006,1007,1009,1010,1015,1017,1019,1020,1022,1023,1179,1182,
1183,1186,1187,1203,1205,1207,1208,1212,1213,1214,1215,1217,1219,1242,1279,
1290,1300,1313,1371,1373,1376,1425,1426,1428,1429,1432,1433,1471,1472,1654,
1659,1661,1663,1832,1945,1948,1951,2108],[1,3,5,6,9,14,17,20,22,26,29,30,32,
35,39,40,43,45,47,49,51,55,56,64,69,72,81,91,100,115,120,149,151,156,158,164,
171,176,177,182,183,188,198,201,207,211,215,219,220,227,238,249,259,262,297,
300,304,322,344,352,356,361,363,377,383,392,394,397,401,403,405,412,416,450,
475,527,558,583,597,600,601,622,624,626,627,650,652,670,671,786,801,854,895,
898,923,973,978,987,1011,1012,1013,1101,1120,1135,1145,1146,1212,1216,1228,
1231,1243,1404,1431,1506,1579,1604,1608,1612,1655,1682,1885,1944,1956,1959,
2109],[1,3,5,6,7,9,14,17,20,22,24,26,29,30,32,35,36,37,39,40,42,45,47,49,51,
55,56,58,64,66,69,70,72,81,83,91,100,105,107,110,115,120,126,129,149,151,155,
156,158,159,161,162,164,165,167,171,176,177,182,198,207,210,213,215,220,227,
238,240,249,250,253,255,267,294,297,303,332,346,361,392,394,397,405,412,414,
446,450,451,475,489,493,521,522,526,527,530,558,561,563,583,597,599,602,622,
624,626,627,632,650,652,660,668,670,697,737,786,801,803,809,839,898,1011,1012,
1013,1074,1077,1101,1104,1142,1148,1182,1203,1212,1213,1216,1217,1239,1424,
1431,1528,1578,1579,1595,1598,1655,1663,1893,1944,1958,1960,2110],[1,3,5,7,9,
12,14,17,22,24,26,32,35,36,43,44,45,47,49,51,55,58,64,69,70,72,91,97,146,149,
151,158,159,161,162,167,168,169,176,177,181,182,183,184,198,207,215,220,227,
238,251,253,262,269,300,301,346,353,354,356,381,382,383,397,398,402,403,405,
430,450,451,475,489,490,491,516,521,522,583,597,599,602,623,624,631,632,650,
652,670,674,778,779,824,839,897,898,978,979,1011,1012,1050,1083,1084,1085,
1101,1142,1148,1202,1203,1210,1228,1239,1319,1404,1452,1575,1595,1598,1604,
1655,1702,1876,1946,1956,1958,2111],[1,3,5,7,9,12,14,17,22,24,26,32,35,36,43,
44,45,47,49,51,55,64,66,69,70,72,91,97,107,146,149,151,158,159,167,168,169,
176,177,181,182,183,198,207,215,217,219,220,227,238,240,251,259,267,269,339,
344,352,355,381,382,383,397,398,402,403,405,414,415,416,430,450,451,475,489,
490,491,516,583,597,600,601,623,624,631,650,652,660,670,678,778,779,803,804,
824,898,987,988,991,992,993,1011,1012,1050,1101,1145,1146,1182,1202,1210,1231,
1243,1261,1424,1452,1575,1578,1608,1612,1655,1687,1880,1946,1959,1960,2112],[
1,3,4,5,6,9,12,17,18,20,21,22,23,27,28,29,34,35,39,40,43,44,45,46,47,48,49,51,
52,55,56,64,68,69,73,78,87,88,94,100,102,125,127,130,131,135,136,137,140,141,
142,143,145,146,152,156,160,164,171,172,176,177,179,180,181,182,183,186,187,
188,190,191,192,193,194,201,202,203,204,206,211,213,216,217,218,227,229,238,
249,259,262,280,300,303,304,306,312,317,322,325,326,328,330,335,338,339,342,
343,349,350,351,352,353,356,359,360,363,365,366,367,373,377,379,380,384,385,
395,400,408,409,412,416,418,427,428,435,438,447,454,458,466,469,470,485,496,
501,504,511,527,533,544,551,553,554,566,567,572,573,575,576,581,582,584,585,
586,588,614,621,622,623,626,627,643,650,651,669,671,743,745,765,781,782,799,
891,899,904,907,916,922,923,929,932,937,941,944,951,960,961,962,965,975,1001,
1004,1007,1010,1017,1019,1023,1025,1030,1032,1040,1043,1048,1063,1088,1093,
1109,1114,1120,1122,1127,1129,1131,1133,1140,1205,1212,1214,1226,1227,1228,
1229,1231,1233,1244,1406,1408,1413,1419,1421,1425,1429,1445,1457,1475,1477,
1482,1581,1584,1587,1654,1682,1683,1686,1895,1945,1957,1961,2113],[1,2,3,5,7,
9,15,17,19,22,24,25,26,29,32,35,36,38,43,45,47,64,66,69,70,71,72,84,88,89,91,
101,107,111,119,124,128,150,151,158,167,176,178,182,183,189,205,207,215,227,
238,240,241,262,267,275,277,286,300,305,319,329,336,356,376,397,403,414,448,
450,460,474,475,486,489,519,531,546,583,593,650,651,652,660,661,670,684,695,
703,707,775,803,844,898,912,939,963,978,1012,1090,1180,1181,1182,1228,1240,
1275,1333,1387,1404,1424,1655,1678,1729,1950,1956,1960,2114],[1,3,4,5,6,7,9,
13,14,17,18,20,21,22,24,26,27,28,29,30,32,34,35,36,37,40,42,43,44,45,46,48,49,
51,52,55,58,64,68,69,70,72,73,83,86,87,88,92,94,100,105,110,123,125,130,131,
132,135,136,137,140,141,142,143,148,149,153,154,162,166,167,168,169,170,174,
175,177,180,181,182,183,186,187,188,190,191,192,193,194,201,202,203,204,216,
217,218,227,229,238,251,253,262,287,294,300,306,312,317,322,326,328,338,339,
342,343,350,351,353,355,359,360,370,375,379,383,384,385,388,389,398,402,411,
415,418,420,423,437,440,441,447,454,458,461,466,468,469,470,478,479,485,487,
489,490,491,496,499,501,511,514,515,520,522,525,535,536,544,551,566,567,572,
573,575,576,581,582,584,585,586,588,621,624,628,630,631,632,643,650,651,669,
674,713,747,748,757,758,770,774,789,792,808,817,819,820,838,841,843,899,904,
907,916,922,924,929,932,937,941,944,992,995,997,1001,1002,1006,1010,1015,1020,
1023,1027,1028,1032,1041,1044,1048,1060,1068,1084,1091,1097,1098,1186,1188,
1200,1203,1208,1210,1226,1227,1228,1244,1421,1432,1435,1439,1441,1448,1455,
1467,1471,1514,1515,1520,1582,1584,1588,1654,1702,1705,1706,1890,1947,1948,
1961,2115],[1,3,4,5,6,7,9,13,14,17,18,20,21,22,24,26,27,28,29,30,32,33,34,35,
36,40,41,43,44,45,46,48,49,51,52,55,64,66,68,69,70,72,73,74,86,87,88,92,94,98,
100,103,107,112,117,123,125,126,129,130,131,132,136,137,141,142,143,148,149,
153,154,159,168,169,177,179,180,181,182,183,184,186,187,190,191,192,193,194,
199,202,203,204,206,214,216,218,227,229,238,240,251,259,267,270,278,284,287,
301,306,307,309,323,330,334,340,349,353,354,365,366,367,372,375,377,379,384,
385,398,402,403,406,415,416,418,423,427,428,435,437,438,440,441,446,447,449,
451,455,458,459,461,465,466,469,470,472,476,485,487,488,490,491,499,501,503,
514,515,520,532,549,550,551,570,571,572,573,577,578,581,582,621,624,631,643,
650,651,654,657,660,669,678,696,708,711,724,773,774,789,792,804,819,820,823,
834,845,849,873,899,900,903,904,906,947,951,955,960,961,962,964,975,979,983,
1009,1010,1022,1023,1025,1027,1028,1030,1040,1041,1043,1044,1064,1066,1089,
1091,1095,1096,1179,1182,1183,1188,1200,1210,1229,1231,1233,1242,1279,1339,
1349,1376,1388,1396,1403,1408,1410,1413,1414,1435,1436,1438,1439,1654,1687,
1696,1699,1737,1947,1951,1957,2116],[1,2,3,5,6,7,9,17,19,20,21,22,24,25,26,29,
31,35,36,37,38,40,42,43,44,48,49,52,58,64,67,68,69,70,71,83,84,85,88,91,100,
101,105,110,111,116,125,128,130,133,138,141,155,157,162,163,165,166,174,177,
179,180,181,183,185,187,193,196,200,203,206,208,211,216,227,229,238,241,253,
259,266,275,277,283,294,304,310,315,316,320,321,330,337,353,362,365,367,377,
385,388,393,398,399,411,415,416,418,420,426,428,434,435,447,453,456,463,470,
479,486,495,497,500,501,506,507,509,522,524,525,526,528,543,573,587,628,630,
632,643,650,651,652,661,669,679,700,706,709,727,750,758,763,797,807,808,817,
862,867,874,899,909,940,956,961,962,967,971,975,977,1015,1020,1023,1025,1030,
1033,1070,1073,1075,1087,1170,1180,1181,1186,1203,1208,1229,1231,1233,1241,
1276,1360,1363,1367,1384,1393,1399,1413,1418,1468,1471,1654,1694,1695,1698,
1740,1948,1949,1957,2117],[1,2,3,4,5,6,7,9,16,17,18,19,20,21,22,24,25,26,28,
29,31,33,34,35,36,38,40,41,43,44,45,64,66,67,68,69,70,71,73,74,84,85,87,88,91,
93,94,98,99,100,101,103,107,111,112,116,117,124,125,126,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,181,182,183,184,185,186,187,188,189,
190,191,192,200,201,202,203,216,217,218,227,229,238,240,241,262,266,267,268,
270,275,276,277,278,283,284,300,301,305,306,307,310,311,312,316,317,321,322,
323,326,327,328,337,338,339,340,341,342,343,446,447,448,449,452,453,454,455,
456,457,458,459,462,463,464,465,466,469,470,471,472,473,485,486,487,488,495,
496,497,498,500,501,502,503,510,511,512,541,542,543,544,545,548,549,550,551,
552,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,584,
585,586,587,588,589,590,643,650,651,652,654,657,660,661,669,684,695,696,700,
701,702,709,710,711,722,723,724,727,729,730,731,732,899,900,901,902,903,904,
905,906,907,908,909,910,911,916,917,918,919,920,931,932,933,934,935,936,937,
938,940,941,942,943,944,945,946,947,999,1000,1001,1170,1179,1180,1181,1182,
1183,1226,1227,1228,1241,1242,1244,1276,1277,1278,1279,1280,1281,1282,1421,
1422,1423,1654,1678,1679,1681,1710,1744,1949,1951,1961,2118],[1,2,3,5,7,9,15,
17,19,22,24,25,26,29,32,35,36,38,43,47,49,58,64,69,70,71,72,84,88,89,91,101,
111,119,128,150,151,157,158,159,161,162,163,168,176,177,178,183,205,207,210,
215,219,220,227,238,241,253,259,275,277,286,319,329,332,336,344,346,352,363,
383,393,396,399,416,450,451,460,474,475,486,491,519,521,522,528,531,546,583,
591,593,594,596,597,598,599,600,601,602,632,650,651,652,661,670,679,703,707,
759,807,839,840,898,912,926,939,948,987,989,1078,1080,1100,1101,1141,1142,
1143,1144,1145,1146,1148,1151,1180,1181,1203,1231,1239,1240,1243,1275,1511,
1538,1589,1591,1594,1595,1608,1609,1655,1698,1709,1851,1950,1958,1959,2119],[
1,3,5,7,9,17,19,26,29,35,36,42,44,47,49,52,58,64,82,84,88,91,105,107,155,156,
161,162,163,169,174,178,193,200,206,209,210,215,216,219,220,227,233,241,253,
259,265,275,336,337,347,369,419,421,426,428,436,445,479,505,507,530,534,560,
592,594,596,599,601,628,636,651,652,655,669,670,679,793,797,814,818,913,985,
994,1034,1038,1054,1055,1102,1144,1149,1177,1180,1186,1220,1229,1238,1239,
1240,1241,1243,1259,1461,1464,1570,1571,1606,1610,1695,1701,1709,1882,1924,
2120],[1,5,6,7,9,19,20,21,35,36,37,47,48,49,58,64,67,68,82,83,107,161,162,163,
164,165,166,178,179,180,209,210,215,219,220,229,233,241,253,259,265,266,336,
345,374,433,434,435,445,523,524,525,560,561,594,595,596,599,601,630,636,643,
655,670,679,741,762,763,818,915,986,1052,1053,1056,1057,1103,1144,1147,1170,
1177,1208,1220,1233,1238,1239,1240,1243,1258,1460,1469,1572,1573,1607,1611,
1694,1701,1709,1883,1923,2121],[1,5,6,7,9,19,20,21,35,36,37,47,48,49,58,64,67,
68,82,83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,233,234,
241,253,259,265,266,336,345,374,433,434,435,445,523,524,525,560,561,594,595,
596,599,601,636,637,655,679,741,762,763,818,915,986,1052,1053,1056,1057,1103,
1144,1147,1166,1177,1220,1238,1258,1460,1469,1572,1573,1607,1611,1648,1674,
1701,1883,1920,1974,1976,2122],[1,5,6,7,8,19,20,21,35,36,37,47,48,49,57,65,67,
68,82,83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,228,242,
254,260,265,266,336,345,374,433,434,435,445,523,524,525,560,561,594,595,596,
599,601,629,642,680,741,762,763,818,915,986,1052,1053,1056,1057,1103,1144,
1147,1161,1171,1209,1232,1258,1460,1469,1572,1573,1607,1611,1640,1666,1693,
1883,1921,1969,1975,2123],[1,2,3,4,5,10,12,14,15,16,17,22,25,26,28,32,47,49,
50,51,60,62,63,71,72,73,89,91,93,97,146,147,149,150,151,153,158,176,177,195,
198,205,207,215,219,220,232,236,244,245,258,268,269,344,346,393,394,395,396,
404,405,429,430,460,461,474,475,513,516,546,583,593,597,600,601,633,638,644,
646,682,767,768,769,822,824,912,989,990,1013,1014,1045,1046,1100,1145,1148,
1168,1173,1195,1234,1260,1450,1451,1576,1577,1609,1613,1645,1671,1672,1688,
1881,1922,1968,1977,2124],[1,3,5,7,9,19,26,29,35,36,42,44,47,49,52,58,64,82,
84,105,107,151,155,156,161,162,163,169,178,187,193,200,206,209,210,219,220,
233,241,253,259,265,310,345,348,367,369,388,419,421,426,445,505,507,519,530,
534,560,592,594,596,600,602,636,655,679,814,818,836,892,913,952,956,1034,1038,
1054,1055,1067,1102,1143,1147,1177,1185,1220,1238,1318,1415,1461,1571,1592,
1596,1603,1676,1701,1707,1708,1879,1981,1982,1983,2125],[1,2,4,5,10,11,16,19,
22,25,28,38,44,45,47,50,61,62,76,93,101,131,137,139,144,173,176,178,181,185,
189,190,191,195,200,205,212,218,220,230,243,246,258,279,302,321,324,327,329,
333,341,357,358,368,386,410,429,471,510,555,581,589,596,597,598,640,647,681,
780,890,928,931,959,998,1092,1128,1130,1141,1150,1175,1192,1236,1315,1481,
1536,1615,1616,1675,1691,1898,1978,1979,1984,2126],[1,2,5,7,9,19,22,24,25,35,
36,38,43,44,47,50,64,66,69,70,71,101,107,111,124,128,178,183,195,200,212,215,
216,238,240,241,262,267,277,300,308,333,336,337,348,364,371,378,386,404,417,
448,486,650,660,661,669,670,684,695,848,872,1008,1021,1132,1137,1181,1182,
1228,1240,1241,1316,1375,1488,1678,1750,1980,2127],[1,5,6,8,19,20,35,47,53,65,
67,82,164,178,223,228,264,265,374,523,642,687,741,1161,1629,1666,1908,1993,
2128],[1,2,3,4,6,10,11,13,14,15,16,18,27,30,31,34,39,48,50,52,53,59,60,61,62,
63,77,90,95,99,118,122,144,147,148,152,154,172,196,197,208,223,224,225,231,
243,244,245,246,247,256,257,258,261,272,390,431,443,518,547,557,609,610,611,
612,613,641,648,662,665,666,673,676,681,682,685,831,1158,1159,1160,1174,1193,
1237,1247,1252,1630,1692,1715,1716,1718,1992,1994,1997,2129],[1,2,3,4,6,10,11,
12,13,15,16,18,23,30,31,34,48,50,52,53,59,60,61,62,63,75,90,96,99,144,145,147,
148,154,160,196,197,208,223,224,225,235,243,244,245,246,247,256,257,258,261,
271,407,431,432,477,517,518,609,610,611,612,613,635,645,665,666,673,676,681,
682,685,825,1158,1159,1160,1172,1196,1235,1247,1251,1630,1689,1714,1719,1991,
1995,1996,2130],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,22,24,25,26,28,29,31,
32,33,34,35,36,38,40,41,43,44,45,47,49,50,67,68,69,70,71,72,73,74,76,80,82,84,
85,87,88,89,90,91,93,94,98,99,100,101,103,104,107,108,111,112,114,116,117,119,
121,124,125,126,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
144,147,150,151,153,156,157,158,162,163,164,167,169,173,176,177,178,181,182,
183,184,185,186,187,188,189,190,191,192,195,197,200,201,202,203,205,207,209,
212,213,215,216,217,218,265,266,267,268,270,275,276,277,278,279,281,283,284,
286,290,293,295,298,300,301,302,303,305,306,307,308,310,311,312,314,316,317,
319,321,322,323,324,326,327,328,329,331,333,336,337,338,339,340,341,342,343,
345,347,348,354,355,356,357,358,361,364,368,369,371,374,376,378,381,386,387,
393,395,397,399,401,403,404,410,413,414,416,417,419,421,424,429,433,436,439,
444,445,446,447,448,449,450,452,453,454,455,456,457,458,459,460,461,462,463,
464,465,466,467,469,470,471,472,473,474,475,480,482,484,485,486,487,488,489,
490,494,495,496,497,498,500,501,502,503,505,508,510,511,512,513,518,519,522,
523,527,528,529,531,534,538,539,541,542,543,544,545,546,548,549,550,551,552,
555,556,560,562,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,
581,582,583,584,585,586,587,588,589,590,593,688,689,691,695,696,699,700,701,
702,703,705,707,709,710,711,712,714,716,718,719,722,723,724,725,727,729,730,
731,732,733,736,738,741,742,744,746,749,752,754,756,762,766,769,772,775,777,
780,783,788,791,793,796,798,803,805,807,810,811,813,814,815,816,818,821,822,
826,832,835,836,837,841,842,844,848,850,852,855,858,861,866,868,870,872,876,
880,882,883,884,889,890,892,893,898,899,900,901,902,903,904,905,906,907,908,
909,910,911,912,916,917,918,919,920,921,925,928,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,950,952,954,958,959,963,966,973,
974,976,978,980,982,984,985,986,993,994,996,999,1000,1001,1003,1005,1008,1012,
1014,1016,1018,1021,1026,1029,1031,1039,1042,1046,1047,1058,1059,1062,1065,
1067,1069,1072,1074,1081,1085,1086,1088,1089,1090,1092,1094,1099,1107,1110,
1111,1113,1117,1119,1121,1123,1124,1128,1130,1132,1137,1139,1256,1258,1259,
1268,1269,1270,1271,1275,1276,1277,1278,1279,1280,1281,1282,1284,1286,1289,
1295,1297,1299,1301,1302,1307,1311,1312,1314,1316,1318,1322,1323,1325,1328,
1330,1332,1333,1336,1338,1341,1344,1346,1348,1361,1364,1365,1370,1372,1374,
1375,1378,1381,1383,1385,1387,1389,1391,1392,1395,1397,1402,1404,1407,1409,
1411,1412,1417,1421,1422,1423,1424,1427,1430,1434,1437,1440,1443,1446,1449,
1450,1453,1459,1466,1470,1473,1474,1478,1481,1483,1484,1488,1489,1501,1502,
1503,1513,1517,1518,1519,1521,1523,1524,1527,1530,1533,1545,1546,1555,1558,
1559,1561,1562,1564,1565,1580,1585,1586,1724,1725,1726,1729,1730,1731,1735,
1736,1742,1744,1745,1746,1750,1751,1758,1759,1761,1763,1765,1766,1772,1777,
1780,1792,1793,1797,1798,1799,1804,1806,1808,1811,1819,1822,1825,1830,1831,
1836,1840,1848,1849,1856,1875,1888,1897,2000,2006,2014,2019,2027,2028,2029,
2043,2047,2131],[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,
52,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
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,
208,209,210,211,212,213,214,216,217,218,219,266,267,268,269,270,271,272,273,
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,
331,332,333,334,335,337,338,339,340,341,342,343,344,346,347,348,349,350,351,
352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,
371,372,373,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
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,
429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,446,447,448,449,
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,
584,585,586,587,588,589,590,591,592,594,595,689,690,691,692,693,694,695,696,
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,
735,736,737,738,739,740,742,743,744,745,746,747,748,749,750,751,752,753,754,
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,
812,816,817,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,
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,
875,876,877,878,879,880,881,884,885,886,887,888,890,891,894,895,896,897,899,
900,901,902,903,904,905,906,907,908,909,910,911,913,914,915,916,917,918,919,
920,921,922,923,924,925,926,927,928,929,931,932,933,934,935,936,937,938,940,
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,
979,980,981,982,983,987,988,989,990,991,992,993,994,995,996,997,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1047,1048,1049,1056,1057,1059,1060,
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,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1104,1105,1106,1107,1108,1109,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1138,1139,1140,1257,
1260,1261,1262,1263,1264,1265,1266,1267,1272,1273,1274,1276,1277,1278,1279,
1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,
1295,1296,1297,1298,1299,1300,1302,1303,1304,1305,1306,1308,1309,1310,1312,
1313,1317,1319,1320,1321,1323,1324,1326,1327,1328,1329,1330,1331,1335,1336,
1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1352,1353,
1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1370,
1371,1372,1373,1375,1376,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,
1389,1390,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1405,
1406,1407,1408,1409,1410,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,
1422,1423,1425,1426,1427,1428,1429,1430,1432,1433,1434,1435,1436,1437,1438,
1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1453,1454,1455,1457,
1458,1459,1464,1465,1466,1467,1468,1469,1470,1471,1472,1474,1475,1476,1477,
1478,1479,1480,1481,1482,1485,1486,1487,1490,1491,1492,1494,1495,1496,1497,
1498,1499,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,
1517,1519,1520,1521,1522,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,
1534,1535,1539,1540,1541,1542,1543,1544,1547,1548,1549,1550,1551,1552,1553,
1554,1555,1556,1557,1558,1559,1560,1562,1563,1565,1566,1567,1580,1581,1582,
1583,1584,1585,1586,1587,1588,1721,1722,1723,1727,1728,1731,1732,1733,1734,
1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1747,1748,1749,1752,1753,
1754,1755,1756,1757,1759,1760,1761,1762,1763,1764,1767,1768,1769,1770,1773,
1774,1775,1778,1779,1782,1783,1785,1786,1787,1788,1789,1790,1791,1794,1795,
1796,1800,1801,1802,1804,1805,1806,1807,1808,1809,1812,1813,1814,1815,1816,
1817,1822,1823,1824,1825,1826,1828,1829,1830,1831,1832,1833,1834,1835,1837,
1838,1839,1842,1843,1844,1845,1846,1847,1853,1854,1855,1872,1873,1874,1888,
1889,1890,1895,1896,1897,2001,2006,2007,2012,2013,2015,2016,2025,2026,2030,
2031,2032,2033,2040,2041,2042,2044,2045,2046,2132],[1,2,3,5,6,11,12,13,14,15,
17,19,20,21,22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,67,68,69,71,72,
75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,146,149,150,
151,156,158,164,169,171,176,178,181,185,187,194,198,200,203,204,205,207,212,
215,216,265,266,269,271,272,273,274,275,277,279,280,281,283,285,286,287,288,
289,290,291,292,293,295,297,298,299,302,310,313,316,318,319,321,324,329,333,
336,337,345,347,348,364,369,371,374,375,378,379,380,382,384,392,394,400,402,
405,408,412,417,419,421,422,423,425,430,433,436,440,442,447,450,453,456,460,
463,467,470,474,475,484,490,494,495,497,499,500,501,504,505,508,514,516,519,
523,527,531,534,539,543,546,553,558,562,573,583,587,593,688,689,691,692,693,
694,699,700,703,705,707,709,712,714,718,719,727,728,734,738,741,742,743,744,
746,751,754,761,762,764,767,771,774,776,778,782,786,788,789,790,791,793,799,
801,811,813,814,815,816,820,824,827,830,832,836,837,846,853,855,856,857,858,
860,864,866,872,875,877,880,882,883,885,887,890,892,893,898,899,909,912,921,
930,939,940,950,952,954,974,976,984,985,986,994,998,1004,1010,1011,1013,1017,
1028,1037,1041,1045,1049,1050,1051,1058,1059,1062,1065,1067,1072,1107,1110,
1111,1113,1132,1137,1256,1257,1258,1259,1262,1263,1264,1266,1272,1275,1276,
1287,1291,1293,1295,1296,1297,1303,1305,1307,1308,1311,1312,1314,1315,1316,
1318,1322,1323,1325,1334,1335,1345,1350,1351,1357,1366,1378,1379,1381,1383,
1389,1391,1395,1429,1431,1439,1442,1444,1451,1452,1456,1473,1474,1492,1493,
1497,1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,
1721,1722,1726,1727,1745,1746,1758,1759,1767,1769,1771,1781,1782,1810,1817,
1818,1827,1829,1837,1841,1847,1856,1999,2000,2002,2008,2009,2012,2017,2133],[
1,2,3,4,5,6,7,11,12,13,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,
36,37,38,39,40,41,42,43,44,45,47,49,50,67,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,89,90,92,93,95,96,97,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,118,119,120,121,122,123,124,125,126,128,129,
130,131,132,133,134,135,138,139,140,144,150,153,155,156,157,158,159,161,162,
163,164,165,167,168,169,173,176,177,178,179,181,182,183,184,185,188,189,192,
195,200,201,205,206,209,210,211,212,213,217,219,265,267,268,269,271,272,273,
274,277,278,279,280,281,282,283,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,308,321,322,324,325,329,330,331,
332,333,335,339,344,346,352,353,354,355,356,361,362,363,369,371,374,375,376,
377,378,381,382,383,386,387,393,394,395,396,397,398,399,400,401,402,403,404,
410,411,412,413,414,415,416,417,419,444,445,446,447,448,449,450,451,452,453,
454,456,457,460,461,462,463,464,467,468,471,473,474,476,480,482,483,484,485,
486,487,488,489,490,491,492,493,494,500,502,505,506,507,508,509,521,522,523,
524,526,527,528,529,530,531,532,534,536,537,538,539,548,552,555,560,561,562,
563,564,569,574,575,576,579,580,591,592,594,595,688,689,690,691,692,693,694,
695,696,697,698,699,705,706,707,708,709,710,712,713,714,715,716,717,718,719,
720,721,722,723,725,736,737,738,740,741,742,744,746,748,749,750,751,752,753,
754,756,759,760,761,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,783,798,799,800,801,802,803,804,805,806,807,808,809,810,811,813,
814,815,816,818,835,839,840,841,844,845,846,847,848,850,852,853,854,868,869,
870,871,872,874,875,876,877,878,879,880,882,883,889,890,891,894,895,896,897,
901,902,905,913,914,915,923,924,925,926,927,944,945,946,948,949,962,963,964,
965,966,967,968,969,970,971,972,973,978,979,980,981,987,988,989,990,991,992,
993,998,1003,1005,1008,1014,1016,1018,1021,1024,1052,1053,1054,1055,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1104,1105,1106,1115,1116,1117,1118,1119,1120,1121,1122,1123,1134,1135,
1136,1138,1139,1140,1256,1257,1260,1261,1268,1269,1270,1271,1278,1283,1284,
1285,1286,1287,1288,1289,1291,1292,1293,1294,1299,1300,1301,1307,1308,1309,
1310,1311,1312,1314,1315,1317,1319,1320,1321,1326,1327,1328,1329,1368,1369,
1370,1372,1374,1375,1377,1378,1379,1380,1381,1382,1385,1386,1387,1388,1397,
1398,1399,1400,1401,1427,1430,1434,1460,1461,1462,1463,1470,1476,1477,1478,
1479,1480,1483,1484,1500,1504,1505,1506,1507,1508,1509,1510,1511,1512,1515,
1516,1517,1526,1527,1528,1529,1530,1531,1532,1539,1540,1541,1542,1543,1544,
1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1724,1725,1726,
1727,1728,1747,1748,1749,1756,1757,1763,1764,1765,1766,1776,1777,1784,1810,
1811,1820,1821,1831,1848,1849,1850,1853,1854,1855,1999,2001,2003,2010,2011,
2018,2019,2134],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,24,25,26,28,29,31,32,
34,35,36,37,38,40,42,43,44,45,46,47,49,50,51,67,69,70,71,72,73,76,80,82,83,84,
85,87,88,89,90,91,93,94,99,100,101,104,105,107,108,110,111,114,116,119,121,
124,125,128,130,131,133,134,136,137,138,139,141,142,144,147,150,151,153,155,
156,157,158,159,161,162,163,164,165,168,169,170,173,175,176,177,178,179,181,
182,183,185,186,187,189,190,191,194,195,197,198,200,202,204,205,206,207,209,
210,211,212,215,218,219,220,267,268,275,276,277,279,281,283,286,290,293,294,
295,298,300,302,304,305,308,310,311,313,314,318,319,321,324,327,329,330,331,
332,333,336,341,344,345,346,347,348,349,352,353,357,358,361,362,363,364,366,
368,369,370,371,374,375,377,378,379,381,382,383,384,386,387,389,393,394,395,
396,398,399,400,402,404,405,410,411,412,413,415,416,417,419,421,422,424,425,
427,429,433,436,438,439,442,444,445,447,448,450,451,452,453,456,458,460,461,
463,466,467,469,470,471,474,475,478,480,484,485,486,490,491,492,494,495,498,
500,505,506,507,508,509,510,512,513,518,519,521,522,523,524,526,527,528,529,
530,531,534,535,539,541,542,543,545,546,548,551,555,556,560,561,562,564,568,
572,581,582,583,589,590,591,592,593,594,595,596,597,598,599,600,601,602,689,
691,695,698,699,700,702,703,705,706,707,709,712,714,718,719,722,725,732,733,
736,737,738,744,747,750,753,754,756,757,759,769,772,780,783,788,791,793,794,
795,796,798,802,804,807,808,810,813,815,821,822,826,832,836,837,839,840,842,
846,848,850,853,856,858,860,861,866,868,870,872,874,875,877,879,880,882,883,
884,887,889,890,898,904,908,912,913,914,915,917,918,926,928,930,931,934,939,
948,949,950,951,953,954,957,958,959,960,962,966,967,970,971,974,980,982,984,
985,986,987,989,996,998,1002,1003,1004,1005,1006,1008,1010,1013,1014,1016,
1018,1021,1031,1035,1036,1037,1040,1041,1043,1046,1047,1049,1050,1053,1055,
1058,1061,1062,1065,1067,1069,1071,1072,1075,1076,1078,1079,1080,1081,1084,
1087,1092,1094,1099,1100,1101,1102,1103,1105,1106,1110,1111,1113,1116,1120,
1124,1128,1130,1134,1137,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1262,1264,1268,1270,1275,1280,1283,1289,1297,1299,1302,1307,1310,1315,
1325,1326,1330,1332,1335,1337,1340,1345,1346,1351,1355,1356,1357,1369,1370,
1372,1374,1375,1378,1379,1381,1385,1390,1391,1392,1394,1395,1399,1400,1402,
1405,1407,1408,1411,1416,1417,1432,1443,1449,1450,1454,1465,1473,1479,1481,
1483,1485,1488,1491,1493,1497,1500,1511,1518,1519,1523,1524,1529,1532,1533,
1536,1537,1538,1549,1550,1561,1564,1565,1589,1590,1591,1592,1593,1594,1595,
1601,1606,1607,1608,1609,1615,1616,1730,1731,1733,1739,1756,1758,1761,1766,
1769,1771,1776,1777,1782,1796,1798,1799,1801,1803,1810,1834,1838,1840,1848,
1851,1852,1857,1858,1898,1899,2009,2011,2029,2030,2037,2038,2039,2135],[1,2,3,
5,6,7,11,15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,
52,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,107,108,
110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,155,156,157,158,
159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,181,183,185,187,
193,196,200,203,205,206,207,208,209,210,211,212,215,216,219,220,265,266,267,
275,277,279,281,283,286,290,293,294,295,298,300,302,304,310,315,316,319,320,
321,324,329,330,331,332,333,336,337,344,345,346,347,348,352,353,362,363,364,
365,367,369,371,374,377,378,383,385,388,391,393,396,398,399,411,413,415,416,
417,418,419,420,421,426,428,431,433,434,435,436,444,445,447,448,450,451,453,
456,460,463,467,470,474,475,479,484,486,490,491,492,494,495,497,500,501,505,
506,507,508,509,519,521,522,523,524,525,526,527,528,529,530,531,534,539,543,
546,560,561,562,564,573,583,587,591,592,593,594,595,596,597,598,599,600,601,
602,688,689,691,695,698,699,700,703,705,706,707,709,712,714,718,719,727,736,
737,738,741,742,744,746,750,753,754,758,759,762,763,788,791,793,797,798,802,
804,807,808,810,811,813,814,815,816,817,818,832,835,836,837,839,840,855,858,
862,865,866,867,868,870,872,874,879,880,882,883,889,890,892,893,898,899,909,
912,913,914,915,921,926,930,939,940,948,949,950,952,954,956,961,962,967,970,
971,974,975,976,977,984,985,986,987,989,994,1015,1020,1023,1024,1025,1030,
1033,1034,1038,1052,1053,1054,1055,1056,1057,1058,1059,1062,1065,1067,1070,
1072,1073,1075,1076,1078,1079,1080,1084,1087,1100,1101,1102,1103,1105,1106,
1107,1110,1111,1113,1116,1120,1132,1134,1137,1141,1142,1143,1144,1145,1146,
1147,1148,1149,1150,1151,1256,1258,1259,1270,1271,1274,1275,1276,1283,1295,
1297,1299,1301,1307,1310,1311,1312,1314,1316,1318,1322,1323,1325,1326,1352,
1353,1354,1358,1360,1363,1367,1368,1369,1377,1378,1381,1383,1384,1389,1391,
1393,1395,1399,1400,1413,1415,1418,1420,1460,1461,1462,1463,1464,1468,1469,
1471,1473,1474,1479,1495,1499,1500,1501,1502,1503,1511,1513,1518,1521,1523,
1524,1529,1532,1536,1537,1538,1545,1546,1549,1550,1559,1561,1562,1564,1568,
1569,1570,1571,1572,1573,1589,1590,1591,1592,1593,1594,1595,1596,1597,1601,
1602,1603,1606,1607,1608,1609,1610,1611,1725,1726,1738,1740,1743,1745,1746,
1756,1758,1759,1776,1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,
1851,1852,1856,1857,1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,
1886,1887,1891,1894,1899,2000,2018,2021,2022,2032,2034,2037,2048,2051,2052,
2053,2136],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,
30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,67,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,95,96,97,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,119,120,121,122,
123,124,125,126,128,129,130,131,132,133,134,135,138,139,140,141,146,147,149,
150,151,153,155,156,157,158,159,161,162,163,164,165,167,168,169,171,176,177,
178,179,181,182,183,184,185,187,188,189,192,194,195,198,200,201,205,206,207,
209,210,211,212,213,215,217,219,220,267,268,269,271,272,273,274,275,277,278,
279,280,281,282,283,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,306,308,310,313,319,321,322,324,325,329,330,331,
332,333,335,336,339,344,345,346,347,348,352,353,354,355,356,361,362,363,364,
368,371,374,375,376,377,378,381,382,383,384,386,387,392,393,394,395,396,397,
398,399,400,401,402,403,404,405,408,410,411,412,413,414,415,416,417,419,421,
425,429,430,433,436,439,440,442,446,447,448,449,450,451,452,453,454,456,457,
460,461,462,463,464,467,468,470,471,473,474,475,476,482,483,484,485,486,487,
488,489,490,491,492,493,494,495,500,502,505,506,507,508,509,513,514,516,519,
521,522,523,524,526,527,528,529,530,531,532,534,536,537,538,539,543,546,548,
552,553,558,560,561,562,563,564,569,574,575,576,579,580,583,591,592,593,594,
595,596,597,598,599,600,601,602,689,690,691,692,693,694,695,696,697,698,699,
700,703,705,706,707,708,709,710,712,713,714,715,716,717,718,719,720,721,722,
723,734,736,737,738,740,744,748,749,750,751,752,753,754,759,760,761,764,765,
766,767,768,769,770,771,772,773,774,775,776,777,778,779,782,786,788,791,793,
798,799,800,801,802,803,804,805,806,807,808,809,810,813,815,820,821,822,824,
827,830,832,836,837,839,840,841,844,845,846,847,848,850,852,853,854,858,860,
864,866,868,869,870,871,872,874,875,876,877,878,879,883,885,887,890,891,894,
895,896,897,898,901,902,905,912,913,914,915,923,924,925,926,927,930,939,944,
945,946,948,949,950,954,959,962,963,964,965,966,967,968,969,970,971,972,973,
974,978,979,980,981,982,984,985,986,987,988,989,990,991,992,993,1008,1011,
1012,1013,1014,1021,1026,1029,1039,1042,1045,1046,1050,1051,1058,1062,1065,
1067,1072,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1094,1100,1101,1102,1103,1104,1105,1106,1110,1111,
1113,1115,1116,1117,1118,1119,1120,1121,1122,1123,1134,1135,1136,1137,1138,
1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1257,1260,
1261,1264,1266,1269,1272,1275,1278,1283,1284,1285,1286,1287,1288,1291,1292,
1293,1294,1297,1299,1300,1303,1305,1307,1308,1309,1310,1317,1319,1320,1321,
1325,1326,1327,1328,1329,1332,1333,1334,1338,1348,1350,1351,1374,1375,1379,
1380,1381,1382,1385,1386,1387,1388,1391,1395,1397,1398,1399,1400,1401,1402,
1404,1409,1411,1412,1424,1431,1437,1440,1450,1451,1452,1456,1473,1476,1477,
1478,1479,1480,1484,1489,1493,1504,1505,1506,1507,1508,1509,1510,1511,1512,
1515,1516,1517,1518,1523,1524,1526,1527,1528,1529,1530,1531,1532,1536,1537,
1538,1539,1540,1541,1542,1543,1544,1547,1548,1549,1550,1551,1552,1553,1554,
1555,1556,1557,1558,1561,1564,1574,1575,1576,1577,1578,1579,1589,1590,1591,
1592,1593,1594,1595,1598,1599,1601,1604,1605,1606,1607,1608,1609,1612,1613,
1722,1727,1728,1729,1730,1736,1747,1748,1749,1756,1757,1758,1763,1764,1771,
1780,1781,1792,1793,1797,1803,1818,1827,1836,1841,1849,1851,1852,1853,1854,
1855,1857,1858,1861,1862,1864,1865,1867,1868,1876,1877,1880,1881,1884,1885,
1892,1893,1899,2001,2017,2020,2023,2028,2035,2037,2049,2050,2054,2055,2137],[
1,2,3,4,5,6,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,
38,39,40,44,45,47,48,49,50,51,52,67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,99,100,101,102,104,108,111,114,115,116,118,
119,120,121,122,123,125,130,131,133,134,136,137,138,139,141,142,144,145,146,
147,148,149,150,151,152,153,154,156,158,160,164,169,171,172,173,176,177,178,
180,181,182,185,186,187,189,190,191,193,194,195,196,197,198,200,202,205,207,
208,209,212,215,218,268,269,271,272,273,274,275,276,277,279,280,281,283,285,
286,287,288,289,290,291,292,293,295,297,298,299,302,305,308,310,311,313,314,
315,319,320,321,324,327,329,331,333,336,341,345,347,348,357,358,361,364,368,
371,373,374,375,378,381,382,384,385,386,387,390,391,392,393,394,395,400,402,
404,405,407,408,409,410,412,413,417,418,419,421,424,425,426,429,430,431,432,
433,434,436,437,439,440,441,442,443,444,445,447,450,452,453,456,458,460,461,
463,466,467,469,470,471,474,475,477,480,484,485,490,494,495,498,500,505,508,
510,512,513,514,515,516,517,518,519,520,523,527,531,533,534,539,541,542,543,
545,546,547,548,551,553,554,555,556,557,558,562,568,572,581,582,583,589,590,
593,689,691,692,693,694,699,700,702,703,704,705,707,709,712,714,718,719,722,
725,732,733,734,735,738,744,745,751,754,756,761,764,767,769,771,772,774,776,
778,780,781,782,783,786,787,788,791,792,793,796,799,801,813,815,819,820,821,
822,824,825,826,827,828,829,830,831,832,833,836,837,842,846,848,850,853,858,
859,860,861,862,863,864,865,866,867,868,872,875,877,883,884,885,886,887,888,
889,890,898,904,908,912,917,918,928,930,931,934,939,950,954,958,959,966,974,
980,982,984,985,986,996,1003,1005,1007,1011,1013,1014,1016,1018,1019,1023,
1024,1027,1031,1033,1034,1044,1045,1046,1047,1050,1051,1052,1054,1056,1058,
1062,1065,1067,1069,1072,1081,1092,1094,1099,1110,1111,1113,1124,1128,1130,
1137,1257,1264,1265,1266,1267,1268,1270,1272,1273,1274,1275,1280,1287,1289,
1291,1293,1297,1298,1302,1303,1304,1305,1306,1307,1308,1325,1330,1332,1334,
1342,1346,1350,1351,1352,1354,1360,1362,1368,1370,1372,1374,1377,1379,1381,
1385,1391,1392,1395,1402,1407,1411,1417,1425,1431,1435,1443,1447,1449,1450,
1451,1452,1456,1458,1473,1481,1483,1486,1488,1493,1496,1518,1519,1523,1524,
1533,1561,1564,1565,1596,1597,1600,1610,1611,1614,1722,1723,1727,1730,1731,
1758,1761,1771,1775,1777,1778,1781,1784,1798,1799,1813,1818,1824,1827,1833,
1840,1841,1844,1848,1869,1870,1871,2003,2005,2015,2017,2029,2034,2036,2138],[
1,2,3,4,5,6,7,11,15,16,18,19,20,22,24,25,26,28,29,31,32,34,35,36,37,38,40,42,
43,44,45,46,47,49,50,51,67,69,70,71,72,73,76,80,82,83,84,85,87,89,90,93,94,99,
100,101,104,105,107,108,110,111,114,116,119,121,124,125,128,130,131,133,134,
136,137,138,139,142,144,147,150,155,156,157,158,159,161,162,163,164,165,168,
169,170,173,175,176,177,178,179,181,182,183,185,186,189,190,191,194,195,197,
198,200,202,204,205,206,209,210,211,212,218,219,265,267,268,276,277,279,281,
283,286,290,293,294,295,298,300,302,304,305,308,311,313,314,318,321,324,327,
329,330,331,332,333,341,344,346,349,352,353,357,358,362,363,366,368,369,370,
371,374,376,377,378,379,383,384,386,387,389,393,396,397,398,399,404,405,410,
411,413,415,416,417,419,422,424,425,427,429,438,439,442,444,445,447,448,450,
451,452,453,456,458,460,463,466,467,469,471,474,478,480,484,485,486,490,491,
492,494,498,500,505,506,507,508,509,510,512,513,518,521,522,523,524,526,527,
528,529,530,531,534,535,539,541,542,545,548,551,555,556,560,561,562,564,568,
572,581,582,589,590,591,592,594,595,688,689,691,695,698,699,702,705,706,707,
709,712,714,718,719,722,725,732,733,736,737,738,741,742,744,746,747,749,750,
753,754,756,757,759,766,780,783,794,795,796,798,802,804,807,808,810,811,813,
814,815,816,818,821,822,826,835,839,840,842,844,848,850,856,860,861,868,870,
872,874,879,880,882,883,884,887,889,890,904,908,913,914,915,917,918,926,928,
931,934,948,949,951,953,957,958,959,960,962,967,970,971,982,987,989,996,1002,
1006,1010,1011,1012,1024,1026,1029,1031,1035,1036,1037,1039,1040,1042,1043,
1045,1046,1047,1049,1051,1052,1053,1054,1055,1061,1069,1071,1075,1076,1078,
1079,1080,1084,1087,1092,1094,1099,1105,1106,1116,1120,1124,1128,1130,1134,
1256,1262,1264,1268,1269,1270,1271,1280,1283,1284,1289,1299,1301,1302,1307,
1310,1311,1312,1314,1326,1330,1332,1333,1334,1337,1338,1340,1345,1346,1348,
1350,1355,1356,1357,1368,1369,1377,1378,1381,1390,1392,1394,1399,1400,1402,
1405,1408,1416,1432,1446,1453,1454,1459,1460,1461,1462,1463,1465,1466,1479,
1481,1485,1488,1489,1491,1500,1511,1519,1529,1532,1533,1549,1550,1565,1598,
1599,1600,1612,1613,1614,1724,1725,1726,1733,1739,1756,1761,1772,1776,1780,
1781,1782,1784,1796,1801,1819,1820,1821,1825,1834,1836,1838,1840,1850,1867,
1868,1869,2002,2004,2014,2018,2030,2035,2036,2139],[1,2,3,4,5,6,11,12,13,14,
15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,
67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,
100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,
134,136,137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,
173,176,178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,
212,218,220,265,268,269,271,272,273,274,276,277,279,280,281,283,285,286,287,
288,289,290,291,292,293,295,297,298,299,302,305,308,311,314,315,320,321,324,
327,329,333,341,357,358,368,369,371,373,374,375,376,378,382,385,386,387,390,
391,394,397,400,402,404,407,409,410,412,417,418,419,424,426,429,431,432,434,
437,439,441,443,447,450,452,453,456,458,460,463,466,467,469,471,474,477,480,
484,485,490,494,498,500,505,508,510,512,513,515,517,518,520,523,527,531,533,
534,539,541,542,545,547,548,551,554,555,556,557,562,568,572,581,582,589,590,
596,597,598,688,689,691,692,693,694,699,702,704,705,707,709,712,714,718,719,
722,725,732,733,735,738,741,742,744,745,746,749,751,754,756,761,764,766,767,
771,774,776,778,780,781,783,787,792,796,799,801,811,813,814,815,816,819,821,
822,825,826,828,829,831,833,842,844,846,848,850,853,859,861,862,863,865,867,
872,875,877,880,882,883,884,886,888,890,904,908,917,918,928,931,934,958,959,
982,996,998,1007,1012,1019,1023,1026,1027,1029,1031,1033,1034,1039,1042,1044,
1046,1047,1056,1069,1092,1094,1099,1100,1101,1102,1103,1124,1128,1130,1141,
1150,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,1287,1289,1291,1293,
1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,1332,1333,1338,1342,
1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,1425,1435,1446,1447,
1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,1536,1537,1538,1565,
1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1723,1724,1726,1727,1761,
1772,1775,1778,1780,1803,1810,1813,1819,1824,1825,1833,1836,1840,1844,1859,
1860,1861,1862,1898,1999,2014,2015,2020,2021,2024,2039,2140],[1,2,3,4,5,6,7,
11,15,16,19,20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,46,47,48,49,
50,51,52,67,69,70,71,72,73,74,76,80,82,84,85,89,90,93,100,101,103,104,107,108,
111,112,114,116,119,121,124,125,126,128,129,130,131,132,133,134,135,138,139,
140,144,150,153,156,157,158,162,163,164,167,169,173,176,177,178,180,181,182,
183,184,185,188,189,192,193,194,195,196,198,199,200,201,204,205,208,209,212,
213,214,217,220,265,267,268,277,278,279,281,283,286,290,293,295,298,300,301,
302,303,305,306,308,309,313,315,318,320,321,322,324,329,331,333,334,339,350,
351,354,355,356,359,360,361,369,371,372,374,376,378,379,381,384,385,386,387,
391,393,395,397,399,401,403,404,405,406,410,413,414,416,417,418,419,422,425,
426,431,434,442,444,445,446,447,448,449,450,452,453,454,456,457,460,461,462,
463,464,467,471,473,474,480,482,484,485,486,487,488,489,490,494,500,502,505,
508,522,523,527,528,529,531,534,538,539,548,552,555,560,562,569,574,575,576,
579,580,596,597,598,688,689,691,695,696,699,705,707,709,710,712,714,716,718,
719,722,723,725,736,738,741,742,744,746,749,752,754,756,766,769,772,775,777,
780,783,798,803,805,807,810,811,813,814,815,816,818,835,841,844,848,849,850,
852,856,860,862,865,867,868,870,872,873,876,880,882,883,887,889,890,901,902,
905,922,925,929,944,945,946,963,966,973,978,980,993,1003,1005,1008,1009,1010,
1011,1014,1016,1018,1021,1022,1023,1032,1033,1034,1037,1045,1048,1049,1051,
1056,1074,1081,1085,1086,1088,1089,1090,1100,1101,1102,1103,1108,1112,1117,
1119,1121,1123,1125,1126,1139,1141,1150,1256,1262,1264,1268,1269,1270,1271,
1274,1278,1284,1286,1289,1299,1301,1307,1311,1312,1314,1324,1328,1331,1334,
1343,1345,1347,1350,1352,1354,1357,1359,1360,1370,1372,1374,1375,1376,1378,
1381,1385,1387,1397,1427,1430,1434,1470,1478,1483,1484,1487,1490,1494,1498,
1517,1527,1530,1536,1537,1538,1555,1558,1568,1569,1571,1572,1577,1578,1583,
1584,1604,1605,1724,1725,1726,1763,1765,1766,1777,1778,1781,1782,1790,1802,
1803,1805,1811,1814,1815,1831,1848,1849,1859,1860,1864,1865,1874,2002,2005,
2019,2021,2023,2025,2038,2141],[1,2,3,5,6,11,12,13,14,15,17,19,20,21,22,23,25,
26,27,29,30,31,32,35,38,39,40,44,45,46,47,49,50,51,67,68,69,71,72,75,76,77,78,
80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,114,115,116,
118,119,120,121,122,123,125,127,130,133,138,141,143,146,149,150,151,156,158,
164,169,171,176,177,178,181,182,185,187,189,194,195,197,198,200,203,204,205,
207,209,212,213,216,220,266,269,271,272,273,274,275,277,279,280,281,283,285,
286,287,288,289,290,291,292,293,295,297,298,299,302,303,305,308,310,313,314,
316,318,319,321,324,329,331,333,337,347,348,354,355,357,358,364,369,371,375,
376,378,379,380,382,384,386,387,392,393,394,397,400,401,402,404,405,408,410,
412,413,417,419,421,422,423,424,425,430,433,436,440,442,444,445,447,450,453,
456,460,463,467,470,474,475,484,490,494,495,497,499,500,501,504,505,508,514,
516,519,523,527,531,534,539,543,546,553,558,562,573,587,596,597,598,689,691,
692,693,694,699,700,703,705,707,709,712,714,718,719,727,728,734,738,742,743,
744,746,751,754,761,762,764,767,771,774,776,778,782,786,788,789,790,791,793,
799,801,811,816,820,824,827,830,832,837,844,846,848,850,853,855,856,857,858,
860,861,864,866,868,872,875,876,877,880,885,887,889,890,899,909,921,925,928,
940,950,952,954,974,976,994,1004,1005,1010,1012,1014,1016,1017,1024,1028,1029,
1037,1041,1042,1046,1049,1052,1054,1059,1062,1065,1067,1072,1100,1101,1102,
1103,1107,1111,1113,1117,1121,1124,1132,1141,1150,1257,1262,1263,1264,1266,
1268,1269,1270,1272,1276,1287,1291,1293,1295,1296,1297,1303,1305,1308,1312,
1323,1328,1330,1332,1333,1335,1341,1345,1348,1357,1365,1366,1368,1372,1374,
1377,1379,1381,1383,1389,1395,1429,1439,1442,1444,1474,1483,1484,1488,1489,
1492,1497,1513,1521,1524,1536,1537,1538,1559,1562,1570,1573,1574,1575,1576,
1579,1580,1602,1603,1721,1722,1727,1759,1767,1769,1777,1780,1782,1784,1797,
1799,1803,1806,1811,1817,1819,1829,1837,1847,1861,1862,1863,1866,1875,2003,
2004,2012,2020,2022,2027,2038,2142],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,22,
24,25,26,28,29,31,32,33,34,35,36,38,40,41,43,44,45,47,49,50,51,67,68,69,70,71,
72,73,74,76,80,82,84,85,87,88,89,90,91,93,94,98,99,100,101,103,104,107,108,
111,112,114,116,117,119,121,124,125,126,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,144,147,150,151,153,156,157,158,162,163,164,167,169,
173,176,177,178,181,182,183,184,185,186,187,188,189,190,191,192,194,195,197,
198,200,201,202,203,205,207,209,212,213,216,217,218,220,266,267,268,270,275,
276,277,278,279,281,283,284,286,290,293,295,298,300,301,302,303,305,306,307,
308,310,311,312,313,314,316,317,319,321,322,323,324,326,327,328,329,331,333,
337,338,339,340,341,342,343,347,348,354,355,356,357,358,361,364,368,369,371,
374,375,376,378,381,382,384,386,387,393,394,395,397,399,400,401,402,403,404,
405,410,412,413,414,416,417,419,421,424,425,429,433,436,439,442,444,445,446,
447,448,449,450,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,
467,469,470,471,472,473,474,475,480,482,484,485,486,487,488,489,490,494,495,
496,497,498,500,501,502,503,505,508,510,511,512,513,518,519,522,523,527,528,
529,531,534,538,539,541,542,543,544,545,546,548,549,550,551,552,555,556,560,
562,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,584,
585,586,587,588,589,590,596,597,598,689,691,695,696,699,700,701,702,703,705,
707,709,710,711,712,714,716,718,719,722,723,724,725,727,729,730,731,732,733,
736,738,742,744,746,749,752,754,756,762,766,769,772,775,777,780,783,788,791,
793,796,798,803,805,807,810,811,816,821,822,826,832,837,841,842,844,846,848,
850,852,853,855,858,860,861,866,868,870,872,875,876,877,880,882,883,884,887,
889,890,899,900,901,902,903,904,905,906,907,908,909,910,911,916,917,918,919,
920,921,925,928,931,932,933,934,935,936,937,938,940,941,942,943,944,945,946,
947,950,952,954,958,959,963,966,973,974,976,978,980,982,993,994,996,998,999,
1000,1001,1003,1005,1008,1011,1013,1016,1017,1018,1021,1024,1026,1028,1029,
1031,1039,1042,1045,1047,1050,1051,1052,1053,1054,1055,1059,1062,1065,1067,
1069,1072,1074,1081,1085,1086,1088,1089,1090,1092,1094,1099,1100,1101,1102,
1103,1107,1111,1113,1117,1119,1121,1123,1124,1128,1130,1132,1139,1141,1150,
1264,1270,1276,1277,1278,1279,1280,1281,1282,1284,1286,1289,1295,1297,1299,
1302,1312,1315,1323,1328,1330,1334,1336,1338,1341,1344,1346,1348,1350,1351,
1361,1364,1365,1366,1368,1369,1370,1372,1375,1377,1378,1379,1381,1383,1385,
1387,1389,1392,1395,1397,1402,1407,1409,1412,1417,1421,1422,1423,1427,1430,
1434,1437,1440,1443,1446,1449,1453,1459,1466,1470,1474,1478,1481,1484,1492,
1493,1500,1513,1517,1519,1521,1524,1527,1530,1533,1536,1537,1538,1555,1558,
1559,1562,1565,1570,1573,1577,1578,1580,1585,1586,1600,1602,1603,1604,1605,
1614,1615,1616,1731,1735,1736,1742,1744,1759,1761,1763,1765,1767,1771,1776,
1781,1784,1803,1804,1806,1808,1810,1822,1825,1830,1831,1863,1864,1865,1866,
1869,1888,1897,1898,2006,2008,2010,2022,2023,2036,2039,2143],[1,2,3,5,6,7,11,
15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,45,47,48,49,50,51,
52,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,107,108,
110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,155,156,157,158,
159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,181,182,183,185,
187,189,193,194,195,196,197,198,200,203,205,206,207,208,209,210,211,212,213,
216,219,266,267,275,277,279,281,283,286,290,293,294,295,298,300,302,303,304,
305,308,310,313,314,315,316,319,320,321,324,329,330,331,332,333,337,344,346,
347,348,352,353,354,355,357,358,362,363,364,365,367,369,371,374,375,376,377,
378,382,383,384,385,386,387,388,391,393,394,396,397,398,399,400,401,402,404,
405,410,411,412,413,415,416,417,418,419,420,421,424,425,426,428,431,433,434,
435,436,442,444,445,447,448,450,451,453,456,460,463,467,470,474,475,479,484,
486,490,491,492,494,495,497,500,501,505,506,507,508,509,519,521,522,523,524,
525,526,527,528,529,530,531,534,539,543,546,560,561,562,564,573,587,591,592,
594,595,689,691,695,698,699,700,703,705,706,707,709,712,714,718,719,727,736,
737,738,742,744,746,750,753,754,758,759,762,763,788,791,793,797,798,802,804,
807,808,810,811,816,817,832,837,839,840,844,846,848,850,853,855,858,860,861,
862,865,866,867,868,870,872,874,875,876,877,879,880,882,883,887,889,890,899,
909,913,914,915,921,925,926,928,940,948,949,950,952,954,956,961,962,967,970,
971,974,975,976,977,987,989,994,998,1005,1008,1011,1012,1013,1014,1015,1016,
1017,1020,1021,1023,1025,1028,1029,1030,1033,1034,1038,1042,1045,1046,1050,
1051,1053,1055,1056,1057,1059,1062,1065,1067,1070,1072,1073,1075,1076,1078,
1079,1080,1084,1087,1105,1106,1107,1111,1113,1116,1117,1120,1121,1124,1132,
1134,1264,1268,1269,1270,1274,1276,1283,1295,1297,1299,1310,1312,1315,1323,
1326,1328,1330,1332,1333,1334,1341,1348,1350,1351,1352,1353,1354,1358,1360,
1363,1365,1366,1367,1369,1372,1374,1375,1378,1379,1381,1383,1384,1389,1393,
1395,1399,1400,1413,1415,1418,1420,1464,1468,1469,1471,1474,1479,1483,1484,
1488,1489,1492,1493,1495,1499,1500,1511,1513,1521,1524,1529,1532,1549,1550,
1559,1562,1580,1598,1599,1612,1613,1738,1740,1743,1756,1759,1766,1767,1771,
1776,1777,1778,1780,1781,1785,1787,1791,1797,1799,1806,1810,1811,1819,1842,
1845,1867,1868,1875,2005,2008,2011,2024,2027,2032,2035,2144],[1,2,3,4,5,6,7,
11,15,16,17,19,20,22,24,25,26,28,29,31,32,33,35,36,38,40,41,43,44,45,46,47,48,
49,50,51,52,67,69,70,71,72,73,74,76,80,82,84,85,88,89,90,91,93,100,101,103,
104,107,108,111,112,114,116,119,121,124,125,126,128,129,130,131,132,133,134,
135,138,139,140,141,147,150,151,153,156,157,158,162,163,164,167,169,176,177,
178,180,181,182,183,184,185,187,188,189,192,193,194,195,196,198,199,200,201,
204,205,207,208,209,212,213,214,215,217,267,268,275,277,278,279,281,283,286,
290,293,295,298,300,301,302,303,305,306,308,309,310,313,315,318,319,320,321,
322,324,329,331,333,334,336,339,345,347,348,350,351,354,355,356,359,360,361,
364,368,369,371,372,374,375,376,378,379,381,382,384,385,386,387,391,393,394,
395,397,399,400,401,402,403,404,405,406,410,412,413,414,416,417,418,419,421,
422,425,426,429,431,433,434,436,439,442,444,445,446,447,448,449,450,452,453,
454,456,457,460,461,462,463,464,467,470,471,473,474,475,482,484,485,486,487,
488,489,490,494,495,500,502,505,508,513,519,522,523,527,528,529,531,534,538,
539,543,546,548,552,560,562,569,574,575,576,579,580,583,593,689,691,695,696,
699,700,703,705,707,709,710,712,714,716,718,719,722,723,736,738,744,749,752,
754,766,769,772,775,777,788,791,793,798,803,805,807,810,813,815,821,822,832,
836,837,841,844,846,848,849,850,852,853,856,858,860,862,865,866,867,868,870,
872,873,875,876,877,880,882,883,887,889,890,898,901,902,905,912,922,925,929,
930,939,944,945,946,950,954,959,963,966,973,974,978,980,982,984,985,986,993,
998,1003,1004,1008,1009,1010,1012,1013,1014,1018,1021,1022,1023,1024,1026,
1029,1032,1033,1034,1037,1039,1041,1042,1046,1048,1049,1050,1052,1053,1054,
1055,1056,1058,1062,1065,1067,1072,1074,1081,1085,1086,1088,1089,1090,1094,
1108,1110,1111,1112,1113,1117,1119,1121,1123,1125,1126,1137,1139,1262,1264,
1269,1270,1274,1275,1278,1284,1286,1297,1299,1307,1315,1324,1325,1328,1331,
1332,1333,1335,1338,1343,1345,1347,1348,1351,1352,1354,1357,1359,1360,1368,
1369,1370,1374,1375,1376,1377,1378,1379,1381,1385,1387,1391,1395,1397,1402,
1404,1409,1411,1412,1424,1437,1440,1450,1473,1478,1484,1487,1489,1490,1493,
1494,1497,1498,1500,1517,1518,1523,1524,1527,1530,1555,1558,1561,1564,1583,
1584,1596,1597,1610,1611,1729,1730,1736,1758,1763,1765,1769,1771,1776,1778,
1780,1782,1784,1790,1792,1793,1797,1802,1805,1810,1814,1815,1836,1849,1870,
1871,1874,2004,2009,2010,2024,2025,2028,2034,2145],[1,2,5,8,10,11,19,22,25,35,
38,62,69,71,76,82,101,104,108,111,222,226,228,230,236,243,265,277,279,281,293,
295,644,647,658,688,689,1154,1161,1162,1165,1175,1176,1256,1651,1901,1913,
1918,2146],[1,2,5,8,9,11,19,22,25,35,38,64,69,71,76,82,101,104,108,111,221,
226,228,233,238,241,265,277,279,281,293,295,650,655,661,688,689,1153,1161,
1164,1165,1177,1181,1256,1649,1900,1913,1916,2147],[1,2,3,5,6,8,10,11,12,13,
14,15,19,20,22,23,25,26,27,29,30,31,32,38,39,40,62,65,67,72,75,76,77,78,80,81,
84,85,86,89,90,92,95,96,97,100,101,102,114,115,116,118,119,120,121,122,123,
222,226,228,230,231,232,235,236,237,239,243,269,271,272,273,274,279,280,283,
285,286,287,288,289,290,291,292,297,298,299,642,645,647,648,653,656,662,691,
692,693,694,1154,1155,1162,1163,1165,1167,1168,1169,1172,1174,1175,1178,1184,
1257,1650,1653,1901,1903,1914,1917,1919,2148],[1,5,6,8,9,19,20,21,35,47,64,65,
67,68,82,164,178,215,221,228,229,233,234,238,241,242,265,266,336,345,374,433,
523,642,643,655,670,741,762,986,1152,1153,1161,1164,1166,1170,1171,1177,1185,
1240,1258,1666,1674,1900,1902,1915,1920,1921,1923,2149],[1,5,6,7,8,9,19,20,35,
36,37,47,49,56,57,58,64,65,66,67,82,83,107,161,162,163,164,165,178,179,209,
210,219,221,228,233,238,241,253,254,255,259,265,374,445,523,524,560,561,594,
595,603,605,606,622,629,632,636,642,655,660,679,741,818,915,1052,1053,1153,
1156,1161,1164,1177,1209,1217,1220,1238,1460,1622,1633,1640,1647,1666,1673,
1701,1900,1969,1972,2058,2059,2062,2150],[1,2,4,5,6,8,10,11,16,19,20,22,25,28,
34,38,44,45,50,54,59,61,62,63,65,67,73,76,87,93,101,125,131,134,137,138,139,
142,144,173,182,189,190,191,195,200,202,218,222,226,228,230,236,243,246,252,
257,258,279,376,378,386,410,452,466,471,498,500,545,555,572,589,590,604,607,
608,616,619,620,625,640,642,646,647,681,742,766,780,908,1029,1039,1047,1154,
1157,1162,1165,1175,1189,1192,1198,1236,1446,1621,1631,1632,1634,1642,1667,
1669,1691,1901,1962,1970,2056,2057,2060,2151],[1,3,4,5,6,7,8,9,19,20,21,23,24,
27,28,30,32,33,34,36,37,39,40,41,42,43,45,46,48,49,54,55,56,57,58,64,65,66,67,
68,83,86,87,102,103,106,109,110,112,113,114,115,117,124,126,127,139,140,142,
143,152,153,154,159,160,163,165,166,167,168,170,179,180,201,202,204,211,213,
214,221,228,229,233,234,239,240,241,242,248,249,250,251,252,253,254,255,259,
260,262,263,266,284,285,296,317,318,334,335,349,350,351,370,372,373,434,435,
437,438,496,498,499,502,503,504,520,524,525,532,533,535,536,537,538,540,563,
564,565,603,605,606,614,615,620,621,629,630,636,637,642,643,656,657,663,664,
667,668,671,672,674,675,677,678,679,680,683,684,728,729,739,740,763,812,833,
834,838,1060,1061,1063,1064,1108,1109,1152,1153,1156,1166,1170,1171,1183,1184,
1188,1189,1204,1205,1206,1207,1208,1209,1218,1219,1225,1226,1232,1233,1245,
1246,1522,1618,1619,1622,1623,1626,1627,1648,1656,1657,1658,1659,1680,1681,
1683,1684,1693,1694,1696,1697,1704,1705,1902,1906,1907,1985,1986,2063,2064,
2065,2152],[1,2,3,5,6,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,53,67,69,
71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,
138,150,156,158,164,169,176,178,181,185,200,205,212,223,224,225,265,277,279,
281,283,286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,447,
450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,
609,610,611,688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,
754,811,813,814,815,816,872,880,882,883,890,1158,1256,1307,1311,1312,1314,
1378,1381,1629,1726,1908,1909,1910,2066,2067,2068,2153],[1,2,3,5,6,19,20,22,
25,26,29,31,35,38,40,44,47,52,53,67,69,82,84,85,100,101,104,108,111,116,125,
138,150,156,158,164,169,176,178,193,196,200,205,212,220,223,224,225,265,283,
293,295,315,329,333,369,371,374,385,417,419,426,500,505,508,523,527,531,534,
539,562,596,597,598,611,613,688,705,738,741,811,813,814,815,816,862,882,883,
1034,1102,1103,1141,1159,1314,1354,1537,1569,1571,1629,1859,1908,1909,1910,
2068,2069,2154],[1,2,3,5,6,19,20,22,25,26,29,31,35,38,40,44,47,48,53,67,69,82,
84,85,100,101,104,108,111,116,125,138,150,156,158,164,169,176,178,180,200,205,
208,212,220,223,224,225,265,283,293,295,320,329,333,369,371,374,417,418,419,
434,500,505,508,523,527,531,534,539,562,596,597,598,611,612,688,705,738,741,
811,813,814,815,816,867,882,883,1056,1102,1103,1141,1160,1314,1352,1537,1568,
1572,1629,1860,1908,1909,1910,2068,2070,2155],[1,2,3,6,8,10,11,12,13,15,23,30,
31,53,59,60,62,65,75,90,96,222,223,224,225,226,230,231,232,235,237,239,243,
245,256,264,271,608,609,610,611,645,653,665,687,1154,1155,1158,1167,1169,1172,
1178,1251,1254,1620,1714,1717,1903,1911,1991,2156],[1,2,3,5,6,9,11,15,17,19,
20,21,22,25,26,29,31,32,35,38,40,44,47,64,67,68,69,71,72,76,80,82,84,85,88,89,
90,91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,150,151,156,158,
164,169,176,178,181,185,187,200,203,205,207,212,215,216,227,229,233,238,241,
265,266,275,277,279,281,283,286,290,293,295,298,302,310,316,319,321,324,329,
333,336,337,345,347,348,364,369,371,374,378,417,419,421,433,436,447,450,453,
456,460,463,467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,527,
531,534,539,543,546,562,573,583,587,593,643,650,651,652,655,661,669,670,688,
689,691,699,700,703,705,707,709,712,714,718,719,727,738,741,742,744,746,754,
762,788,791,793,811,813,814,815,816,832,836,837,855,858,866,872,880,882,883,
890,892,893,898,899,909,912,921,930,939,940,950,952,954,974,976,984,985,986,
994,1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1164,1170,
1177,1180,1181,1240,1241,1256,1258,1259,1275,1276,1295,1297,1307,1311,1312,
1314,1316,1318,1322,1323,1325,1378,1381,1383,1389,1391,1395,1473,1474,1501,
1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,1649,1654,
1655,1726,1745,1746,1758,1759,1856,1916,1923,1924,1949,1950,1980,2000,2157],[
1,2,3,5,6,10,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,
47,62,67,69,71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,130,133,138,150,156,158,
164,169,176,178,181,185,200,205,212,230,232,236,237,243,265,269,271,272,273,
274,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,
302,321,324,329,333,369,371,374,375,378,382,394,400,402,412,417,419,447,450,
453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,644,
647,658,688,689,691,692,693,694,699,705,707,709,712,714,718,719,738,741,742,
744,746,751,754,761,764,767,771,774,776,778,799,801,811,813,814,815,816,846,
853,872,875,877,880,882,883,890,998,1162,1163,1168,1169,1175,1176,1256,1257,
1287,1291,1293,1307,1308,1311,1312,1314,1315,1378,1379,1381,1651,1668,1671,
1726,1727,1810,1914,1918,1999,2079,2158],[1,2,3,5,6,8,11,12,13,14,15,19,20,22,
23,25,26,27,29,30,31,32,35,38,39,40,44,47,65,67,69,71,72,75,76,77,78,80,81,82,
84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,
121,122,123,125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,
226,228,239,265,269,271,272,273,274,277,279,280,281,283,285,286,287,288,289,
290,291,292,293,295,297,298,299,302,321,324,329,333,369,371,374,375,378,382,
394,400,402,412,417,419,447,450,453,456,460,463,467,474,484,490,494,500,505,
508,523,527,531,534,539,562,642,653,656,688,689,691,692,693,694,699,705,707,
709,712,714,718,719,738,741,742,744,746,751,754,761,764,767,771,774,776,778,
799,801,811,813,814,815,816,846,853,872,875,877,880,882,883,890,998,1161,1165,
1178,1184,1256,1257,1287,1291,1293,1307,1308,1311,1312,1314,1315,1378,1379,
1381,1650,1666,1667,1726,1727,1810,1913,1917,1999,2078,2159],[1,2,3,5,6,8,11,
15,17,19,20,21,22,25,26,29,31,32,35,38,40,44,47,65,67,68,69,71,72,76,80,82,84,
85,88,89,90,91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,150,
151,156,158,164,169,176,178,181,185,187,200,203,205,207,212,215,216,226,228,
242,265,266,275,277,279,281,283,286,290,293,295,298,302,310,316,319,321,324,
329,333,336,337,345,347,348,364,369,371,374,378,417,419,421,433,436,447,450,
453,456,460,463,467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,
527,531,534,539,543,546,562,573,583,587,593,642,653,656,688,689,691,699,700,
703,705,707,709,712,714,718,719,727,738,741,742,744,746,754,762,788,791,793,
811,813,814,815,816,832,836,837,855,858,866,872,880,882,883,890,892,893,898,
899,909,912,921,930,939,940,950,952,954,974,976,984,985,986,994,1058,1059,
1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1161,1165,1171,1256,1258,
1259,1275,1276,1295,1297,1307,1311,1312,1314,1316,1318,1322,1323,1325,1378,
1381,1383,1389,1391,1395,1473,1474,1501,1502,1503,1513,1518,1521,1523,1524,
1545,1546,1559,1561,1562,1564,1650,1666,1667,1726,1745,1746,1758,1759,1856,
1913,1921,1925,2000,2078,2160],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,19,20,22,
23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,62,63,
67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,89,90,92,93,95,96,97,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,119,
120,121,122,123,124,125,126,128,129,130,131,132,133,134,135,138,139,140,150,
153,155,156,157,158,159,161,162,163,164,165,167,168,169,176,177,178,179,181,
182,183,184,185,188,189,192,200,201,205,206,209,210,211,212,213,217,219,230,
232,236,237,244,267,268,269,271,272,273,274,277,278,279,280,281,282,283,285,
286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,321,322,324,325,329,330,331,332,333,335,339,344,346,352,353,354,355,
356,361,362,363,375,376,377,381,382,383,393,394,395,396,397,398,399,400,401,
402,403,411,412,413,414,415,416,446,447,448,449,450,451,452,453,454,456,457,
460,461,462,463,464,467,468,471,473,474,476,482,483,484,485,486,487,488,489,
490,491,492,493,494,500,502,505,506,507,508,509,521,522,523,524,526,527,528,
529,530,531,532,534,536,537,538,539,548,552,560,561,562,563,564,569,574,575,
576,579,580,591,592,594,595,644,646,647,649,658,659,689,690,691,692,693,694,
695,696,697,698,699,705,706,707,708,709,710,712,713,714,715,716,717,718,719,
720,721,722,723,736,737,738,740,748,749,750,751,752,753,759,760,761,764,765,
766,767,768,769,770,771,772,773,774,775,776,777,778,779,798,799,800,801,802,
803,804,805,806,807,808,809,810,839,840,841,844,845,846,847,852,853,854,868,
869,870,871,874,875,876,877,878,879,890,891,894,895,896,897,901,902,905,913,
914,915,923,924,925,926,927,944,945,946,948,949,962,963,964,965,966,967,968,
969,970,971,972,973,978,979,980,981,987,988,989,990,991,992,993,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1104,1105,1106,1115,1116,1117,1118,1119,1120,1121,1122,1123,1134,1135,
1136,1138,1139,1140,1162,1163,1168,1169,1173,1257,1260,1261,1278,1283,1284,
1285,1286,1287,1288,1291,1292,1293,1294,1299,1300,1308,1309,1310,1317,1319,
1320,1321,1326,1327,1328,1329,1379,1380,1381,1382,1385,1386,1387,1388,1397,
1398,1399,1400,1401,1476,1477,1478,1479,1480,1504,1505,1506,1507,1508,1509,
1510,1511,1512,1515,1516,1517,1526,1527,1528,1529,1530,1531,1532,1539,1540,
1541,1542,1543,1544,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,
1558,1651,1652,1668,1669,1670,1671,1672,1727,1728,1747,1748,1749,1756,1757,
1763,1764,1853,1854,1855,1914,1922,1927,1928,2001,2079,2080,2161],[1,2,3,5,6,
10,11,12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,62,67,69,
71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,130,133,138,150,156,158,164,169,176,
178,181,185,200,205,212,230,231,235,236,243,265,269,271,272,273,274,277,279,
280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,321,324,
329,333,369,371,374,375,378,382,394,400,402,412,417,419,447,450,453,456,460,
463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,644,645,647,648,
658,662,688,689,691,692,693,694,699,705,707,709,712,714,718,719,738,741,742,
744,746,751,754,761,764,767,771,774,776,778,799,801,811,813,814,815,816,846,
853,872,875,877,880,882,883,890,998,1162,1167,1172,1174,1175,1176,1256,1257,
1287,1291,1293,1307,1308,1311,1312,1314,1315,1378,1379,1381,1651,1653,1675,
1726,1727,1810,1918,1919,1978,1999,2162],[1,2,3,5,6,9,11,15,17,19,20,21,22,25,
26,29,31,32,35,38,40,44,47,64,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,
101,104,108,111,114,116,119,121,125,130,133,138,141,150,151,156,158,164,169,
176,178,181,185,187,200,203,205,207,212,215,216,233,234,238,241,265,266,275,
277,279,281,283,286,290,293,295,298,302,310,316,319,321,324,329,333,336,337,
345,347,348,364,369,371,374,378,417,419,421,433,436,447,450,453,456,460,463,
467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,527,531,534,539,
543,546,562,573,583,587,593,650,655,661,688,689,691,699,700,703,705,707,709,
712,714,718,719,727,738,741,742,744,746,754,762,788,791,793,811,813,814,815,
816,832,836,837,855,858,866,872,880,882,883,890,892,893,898,899,909,912,921,
930,939,940,950,952,954,974,976,984,985,986,994,1058,1059,1062,1065,1067,1072,
1107,1110,1111,1113,1132,1137,1164,1166,1177,1181,1185,1256,1258,1259,1275,
1276,1295,1297,1307,1311,1312,1314,1316,1318,1322,1323,1325,1378,1381,1383,
1389,1391,1395,1473,1474,1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,
1559,1561,1562,1564,1649,1674,1676,1707,1726,1745,1746,1758,1759,1856,1915,
1916,1920,1983,2000,2084,2163],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,31,32,35,
38,40,44,46,47,51,65,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,
116,119,121,125,130,133,138,150,156,158,164,169,176,178,181,185,194,198,200,
204,205,212,226,228,263,265,277,279,281,283,286,290,293,295,298,302,313,318,
321,324,329,333,369,371,374,378,379,384,405,417,419,422,425,442,447,450,453,
456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,642,653,
656,688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,
813,814,815,816,856,860,872,880,882,883,887,890,1010,1011,1037,1045,1049,1051,
1161,1165,1225,1256,1262,1264,1307,1311,1312,1314,1334,1345,1350,1357,1378,
1381,1650,1666,1667,1726,1781,1782,1913,1943,2002,2078,2164],[1,2,3,5,6,10,11,
12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,49,50,62,67,69,
71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,130,133,138,150,156,158,164,169,176,
177,178,181,185,195,200,205,209,212,230,232,236,237,261,269,271,272,273,274,
277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,
308,321,324,329,331,333,375,382,386,393,394,400,402,404,412,413,444,445,447,
450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,
644,647,658,689,691,692,693,694,699,705,707,709,712,714,718,719,738,751,761,
764,767,771,774,776,778,799,801,846,848,853,868,875,877,889,890,1005,1014,
1016,1024,1052,1054,1162,1163,1168,1169,1224,1257,1268,1270,1287,1291,1293,
1308,1368,1372,1374,1377,1379,1381,1651,1668,1671,1727,1777,1784,1914,1941,
2003,2079,2165],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,48,
52,65,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,
125,130,133,138,150,156,158,164,169,176,178,180,181,185,193,196,200,205,208,
212,220,226,228,260,265,277,279,281,283,286,290,293,295,298,302,315,320,321,
324,329,333,369,371,374,378,385,391,417,418,419,426,431,434,447,450,453,456,
460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,596,597,598,
642,653,656,688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,
754,811,813,814,815,816,862,865,867,872,880,882,883,890,1023,1033,1034,1056,
1100,1101,1102,1103,1141,1150,1161,1165,1230,1232,1256,1274,1307,1311,1312,
1314,1352,1354,1360,1378,1381,1536,1537,1538,1568,1569,1571,1572,1650,1666,
1667,1726,1778,1803,1859,1860,1913,1955,1975,2021,2078,2166],[1,2,3,5,6,10,11,
12,13,14,15,19,20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,45,47,50,62,67,69,
71,72,75,76,77,78,80,81,82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,130,133,138,150,156,158,164,169,176,
178,181,182,185,189,195,200,205,212,220,230,232,236,237,258,269,271,272,273,
274,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,
302,305,308,321,324,329,333,375,376,382,386,387,394,397,400,402,404,410,412,
447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,
562,596,597,598,644,647,658,689,691,692,693,694,699,705,707,709,712,714,718,
719,738,751,761,764,767,771,774,776,778,799,801,844,846,848,850,853,875,877,
890,1012,1029,1042,1046,1100,1101,1102,1103,1141,1150,1162,1163,1168,1169,
1234,1236,1257,1269,1287,1291,1293,1308,1332,1333,1348,1379,1381,1536,1537,
1538,1574,1575,1576,1579,1651,1668,1671,1727,1780,1803,1861,1862,1914,1952,
1977,2020,2079,2167],[1,2,3,4,5,6,7,8,11,15,16,19,20,22,24,25,26,28,29,31,32,
33,35,36,38,40,41,43,44,45,47,49,50,54,57,65,67,69,70,71,72,73,74,76,80,82,84,
85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,124,125,126,128,
129,130,131,132,133,134,135,138,139,140,144,150,153,156,157,158,162,163,164,
167,169,173,176,177,178,181,182,183,184,185,188,189,192,195,200,201,205,209,
212,213,217,226,228,248,265,267,268,277,278,279,281,283,286,290,293,295,298,
300,301,302,303,305,306,308,321,322,324,329,331,333,339,354,355,356,361,369,
371,374,376,378,381,386,387,393,395,397,399,401,403,404,410,413,414,416,417,
419,444,445,446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,
471,473,474,480,482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,
527,528,529,531,534,538,539,548,552,555,560,562,569,574,575,576,579,580,615,
620,625,629,642,653,656,688,689,691,695,696,699,705,707,709,710,712,714,716,
718,719,722,723,725,736,738,741,742,744,746,749,752,754,756,766,769,772,775,
777,780,783,798,803,805,807,810,811,813,814,815,816,818,835,841,844,848,850,
852,868,870,872,876,880,882,883,889,890,901,902,905,925,944,945,946,963,966,
973,978,980,993,1003,1005,1008,1014,1016,1018,1021,1074,1081,1085,1086,1088,
1089,1090,1117,1119,1121,1123,1139,1161,1165,1204,1206,1256,1268,1269,1270,
1271,1278,1284,1286,1289,1299,1301,1307,1311,1312,1314,1328,1370,1372,1374,
1375,1378,1381,1385,1387,1397,1427,1430,1434,1470,1478,1483,1484,1517,1527,
1530,1555,1558,1631,1632,1639,1640,1650,1666,1667,1724,1725,1726,1763,1765,
1766,1777,1811,1831,1848,1849,1913,1937,1971,2019,2076,2077,2078,2168],[1,2,3,
5,6,7,8,11,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,57,65,
67,69,70,71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,108,110,111,114,
116,119,121,124,125,128,130,133,138,150,155,156,157,158,159,161,162,163,164,
165,168,169,176,177,178,179,181,183,185,200,205,206,209,210,211,212,219,226,
228,254,265,267,277,279,281,283,286,290,293,294,295,298,300,302,304,321,324,
329,330,331,332,333,344,346,352,353,362,363,369,371,374,377,378,383,393,396,
398,399,411,413,415,416,417,419,444,445,447,448,450,451,453,456,460,463,467,
474,484,486,490,491,492,494,500,505,506,507,508,509,521,522,523,524,526,527,
528,529,530,531,534,539,560,561,562,564,591,592,594,595,615,629,642,653,656,
688,689,691,695,698,699,705,706,707,709,712,714,718,719,736,737,738,741,742,
744,746,750,753,754,759,798,802,804,807,808,810,811,813,814,815,816,818,835,
839,840,868,870,872,874,879,880,882,883,889,890,913,914,915,926,948,949,962,
967,970,971,987,989,1024,1052,1053,1054,1055,1075,1076,1078,1079,1080,1084,
1087,1105,1106,1116,1120,1134,1161,1165,1209,1218,1256,1270,1271,1283,1299,
1301,1307,1310,1311,1312,1314,1326,1368,1369,1377,1378,1381,1399,1400,1460,
1461,1462,1463,1479,1500,1511,1529,1532,1549,1550,1639,1640,1650,1666,1667,
1725,1726,1756,1776,1784,1820,1821,1850,1913,1936,1969,2018,2076,2078,2169],[
1,2,3,4,5,6,8,11,15,16,18,19,20,22,25,26,28,29,31,32,34,35,38,40,44,45,47,50,
54,65,67,69,71,72,73,76,80,82,84,85,87,89,90,93,94,99,100,101,104,108,111,114,
116,119,121,125,130,131,133,134,136,137,138,139,142,144,147,150,156,158,164,
169,173,176,178,181,182,185,186,189,190,191,195,197,200,202,205,212,218,226,
228,252,265,268,276,277,279,281,283,286,290,293,295,298,302,305,308,311,314,
321,324,327,329,333,341,357,358,368,369,371,374,376,378,386,387,397,404,410,
417,419,424,429,439,447,450,452,453,456,458,460,463,466,467,469,471,474,480,
484,485,490,494,498,500,505,508,510,512,513,518,523,527,531,534,539,541,542,
545,548,551,555,556,562,568,572,581,582,589,590,620,625,642,653,656,688,689,
691,699,702,705,707,709,712,714,718,719,722,725,732,733,738,741,742,744,746,
749,754,756,766,780,783,796,811,813,814,815,816,821,822,826,842,844,848,850,
861,872,880,882,883,884,890,904,908,917,918,928,931,934,958,959,982,996,1012,
1026,1029,1031,1039,1042,1046,1047,1069,1092,1094,1099,1124,1128,1130,1161,
1165,1189,1201,1256,1268,1269,1280,1284,1289,1302,1307,1311,1312,1314,1330,
1332,1333,1338,1346,1348,1378,1381,1392,1402,1446,1453,1459,1466,1481,1488,
1489,1519,1533,1565,1631,1632,1650,1666,1667,1724,1726,1761,1772,1780,1819,
1825,1836,1840,1913,1929,1970,2014,2077,2078,2170],[1,2,3,5,6,10,11,12,13,14,
15,17,19,20,21,22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,59,60,62,67,
68,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,
146,149,150,151,156,158,164,169,171,176,178,181,185,187,194,198,200,203,204,
205,207,212,216,230,232,236,237,256,266,269,271,272,273,274,275,277,279,280,
281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,310,313,316,
318,319,321,324,329,333,337,347,348,364,369,371,375,378,379,380,382,384,392,
394,400,402,405,408,412,417,419,421,422,423,425,430,433,436,440,442,447,450,
453,456,460,463,467,470,474,475,484,490,494,495,497,499,500,501,504,505,508,
514,516,519,523,527,531,534,539,543,546,553,558,562,573,587,616,617,618,633,
638,644,647,658,689,691,692,693,694,699,700,703,705,707,709,712,714,718,719,
727,728,734,738,742,743,744,746,751,754,761,762,764,767,771,774,776,778,782,
786,788,789,790,791,793,799,801,811,816,820,824,827,830,832,837,846,853,855,
856,857,858,860,864,866,872,875,877,880,885,887,890,899,909,921,940,950,952,
954,974,976,994,1004,1010,1017,1028,1037,1041,1049,1059,1062,1065,1067,1072,
1107,1111,1113,1132,1162,1163,1168,1169,1197,1221,1257,1262,1263,1264,1266,
1272,1276,1287,1291,1293,1295,1296,1297,1303,1305,1308,1312,1323,1335,1345,
1357,1366,1379,1381,1383,1389,1395,1429,1439,1442,1444,1474,1492,1497,1513,
1521,1524,1559,1562,1634,1635,1636,1643,1645,1651,1668,1671,1721,1722,1727,
1759,1767,1769,1782,1817,1829,1837,1847,1914,1938,1963,2012,2073,2074,2079,
2171],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,59,61,63,67,68,70,
72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,89,90,92,93,94,95,96,97,99,100,
101,102,103,105,106,109,110,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,131,132,134,135,136,137,138,139,140,141,142,143,144,
145,147,148,152,153,154,155,157,159,160,163,165,166,167,168,170,172,173,177,
179,180,182,183,184,186,188,189,190,191,192,193,195,196,197,200,201,202,203,
204,206,208,211,213,214,217,218,230,232,236,237,257,266,269,271,272,273,274,
276,278,279,280,282,283,284,285,286,287,288,289,290,291,292,294,296,297,298,
299,303,304,311,312,314,315,316,317,318,320,322,323,325,330,334,335,338,349,
350,351,365,370,372,373,376,377,378,379,380,381,383,385,386,390,391,396,399,
401,403,407,409,410,411,413,418,420,421,422,423,424,426,431,432,434,435,437,
438,439,441,443,446,448,449,451,452,454,455,457,458,459,461,462,464,465,466,
468,469,471,472,473,476,477,482,483,489,491,492,493,495,496,497,498,499,500,
501,502,503,504,506,507,509,513,515,517,518,520,524,525,526,528,532,533,535,
536,537,538,540,541,542,544,545,547,554,555,556,557,563,564,565,569,570,571,
572,574,575,584,585,586,588,589,590,616,617,619,634,639,640,646,649,659,690,
691,692,693,694,697,698,701,702,704,706,708,710,711,713,715,716,717,720,721,
727,728,729,733,735,739,740,742,743,745,747,752,753,755,759,760,763,765,766,
768,770,772,773,775,777,779,780,781,787,788,789,790,792,794,798,800,802,812,
817,819,821,825,826,828,829,831,833,834,838,847,852,854,855,856,857,859,861,
862,863,865,867,873,874,876,878,879,881,884,886,888,891,900,901,907,908,910,
911,922,941,942,943,951,953,955,975,977,995,1002,1003,1008,1009,1015,1016,
1029,1030,1036,1038,1039,1040,1047,1048,1060,1061,1063,1064,1066,1068,1073,
1108,1109,1112,1114,1133,1162,1163,1168,1169,1198,1222,1257,1262,1263,1265,
1267,1273,1274,1277,1286,1288,1292,1294,1295,1296,1298,1302,1304,1306,1309,
1310,1313,1324,1336,1337,1343,1344,1356,1358,1365,1367,1380,1382,1384,1390,
1396,1428,1430,1438,1440,1441,1443,1445,1446,1475,1490,1491,1498,1499,1514,
1522,1525,1560,1563,1634,1635,1637,1641,1642,1646,1652,1669,1670,1672,1721,
1723,1728,1760,1768,1770,1783,1815,1816,1828,1830,1838,1839,1845,1846,1914,
1939,1962,1964,2013,2073,2075,2080,2172],[1,2,3,4,5,6,10,11,12,13,14,15,16,18,
19,20,22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,61,62,67,
69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,100,
101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,134,
136,137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,173,
176,178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,212,
218,230,232,236,237,246,268,269,271,272,273,274,276,277,279,280,281,283,285,
286,287,288,289,290,291,292,293,295,297,298,299,302,305,308,311,314,315,320,
321,324,327,329,333,341,357,358,368,373,375,382,385,386,387,390,391,394,400,
402,404,407,409,410,412,418,424,426,429,431,432,434,437,439,441,443,447,450,
452,453,456,458,460,463,466,467,469,471,474,477,480,484,485,490,494,498,500,
505,508,510,512,513,515,517,518,520,523,527,531,533,534,539,541,542,545,547,
548,551,554,555,556,557,562,568,572,581,582,589,590,619,634,639,640,644,647,
658,689,691,692,693,694,699,702,704,705,707,709,712,714,718,719,722,725,732,
733,735,738,745,751,756,761,764,767,771,774,776,778,780,781,783,787,792,796,
799,801,819,821,822,825,826,828,829,831,833,842,846,848,850,853,859,861,862,
863,865,867,875,877,884,886,888,890,904,908,917,918,928,931,934,958,959,982,
996,1007,1019,1023,1027,1033,1034,1044,1056,1069,1092,1094,1099,1124,1128,
1130,1162,1163,1168,1169,1190,1192,1257,1265,1267,1273,1274,1280,1287,1289,
1291,1293,1298,1302,1304,1306,1308,1330,1342,1352,1354,1360,1362,1379,1381,
1392,1402,1425,1435,1447,1458,1481,1486,1496,1519,1533,1565,1637,1641,1642,
1646,1651,1668,1671,1723,1727,1761,1775,1778,1813,1824,1833,1844,1914,1933,
1966,2015,2075,2079,2173],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,22,
23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,
51,52,60,61,63,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,103,105,106,109,110,112,113,114,115,116,
118,119,120,121,122,123,124,126,128,129,130,131,132,133,134,135,136,137,139,
140,141,142,144,145,146,147,148,149,150,151,152,153,154,155,157,158,159,160,
163,165,167,168,171,172,173,174,175,177,178,179,180,182,183,184,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,206,207,208,211,213,
217,218,230,232,236,237,247,269,270,271,272,273,274,275,276,278,279,280,282,
283,285,286,287,288,289,290,291,292,294,296,297,298,299,303,304,307,309,310,
311,313,314,315,319,320,322,325,326,328,330,335,342,359,360,366,367,371,373,
376,377,381,383,384,385,386,388,389,390,391,392,396,399,401,403,405,406,407,
408,409,410,411,413,417,418,424,425,426,427,428,430,431,432,433,434,436,437,
439,440,441,442,443,446,448,451,452,454,455,456,457,458,461,462,464,465,468,
469,470,471,472,475,476,477,478,479,481,482,483,488,489,491,492,493,495,498,
502,506,507,509,511,512,513,514,515,516,517,518,519,520,524,526,528,531,532,
533,536,537,538,541,542,543,544,546,547,549,550,551,552,553,554,555,556,557,
558,559,563,564,567,568,569,571,576,578,580,582,584,586,588,589,618,619,633,
634,638,639,640,646,649,659,690,691,692,693,694,697,698,700,702,703,704,706,
708,710,713,715,716,717,720,721,724,726,730,731,733,734,735,740,744,745,752,
753,757,758,759,760,765,766,768,770,772,773,775,777,779,780,781,782,784,785,
786,787,791,792,795,797,798,800,802,819,820,821,823,824,825,826,827,828,829,
830,831,832,833,843,847,849,851,852,854,858,859,860,861,862,863,864,865,866,
867,874,876,878,879,884,885,886,887,888,891,902,903,911,916,917,920,929,932,
935,936,956,957,960,961,983,997,1005,1006,1018,1020,1021,1022,1025,1026,1031,
1032,1035,1042,1043,1057,1070,1071,1093,1095,1096,1097,1098,1125,1126,1127,
1129,1131,1162,1163,1168,1169,1191,1194,1257,1264,1265,1266,1267,1272,1273,
1274,1281,1286,1288,1290,1292,1294,1297,1298,1302,1303,1304,1305,1306,1309,
1310,1331,1340,1341,1353,1355,1359,1361,1363,1364,1380,1382,1393,1394,1403,
1426,1427,1436,1437,1448,1449,1457,1459,1482,1485,1487,1494,1495,1520,1534,
1535,1566,1567,1636,1637,1641,1642,1643,1645,1646,1652,1669,1670,1672,1722,
1723,1728,1762,1773,1774,1779,1812,1814,1822,1823,1834,1835,1842,1843,1914,
1934,1965,1967,2016,2074,2075,2080,2174],[1,2,3,5,6,10,11,12,13,14,15,17,19,
20,22,23,25,26,27,29,30,31,32,35,38,39,40,44,47,51,60,62,67,69,71,72,75,76,77,
78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,114,115,
116,118,119,120,121,122,123,125,130,133,138,141,146,149,150,151,156,158,164,
169,171,176,178,181,185,187,194,198,200,205,207,212,215,230,232,236,237,245,
269,271,272,273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,
293,295,297,298,299,302,310,313,319,321,324,329,333,336,345,347,348,364,371,
374,375,378,382,384,392,394,400,402,405,408,412,417,419,421,425,430,433,436,
440,442,447,450,453,456,460,463,467,470,474,475,484,490,494,495,500,505,508,
514,516,519,523,527,531,534,539,543,546,553,558,562,583,593,618,633,638,644,
647,658,689,691,692,693,694,699,700,703,705,707,709,712,714,718,719,734,738,
744,751,754,761,764,767,771,774,776,778,782,786,788,791,793,799,801,813,815,
820,824,827,830,832,836,837,846,853,858,860,864,866,872,875,877,883,885,887,
890,898,912,930,939,950,954,974,984,985,986,1011,1013,1045,1050,1051,1058,
1062,1065,1067,1072,1110,1111,1113,1137,1162,1163,1168,1169,1195,1199,1257,
1264,1266,1272,1275,1287,1291,1293,1297,1303,1305,1307,1308,1325,1334,1350,
1351,1379,1381,1391,1395,1431,1451,1452,1456,1473,1493,1518,1523,1524,1561,
1564,1636,1643,1645,1651,1668,1671,1722,1727,1758,1771,1781,1818,1827,1841,
1914,1940,1968,2017,2074,2079,2175],[1,2,3,5,6,9,19,20,21,22,25,26,29,31,35,
38,40,43,44,47,49,52,64,67,68,69,82,84,85,100,101,104,108,111,116,125,138,141,
150,151,156,158,164,169,176,177,178,183,193,196,200,203,205,207,209,211,212,
215,220,233,234,238,259,265,266,283,293,295,300,304,315,316,319,329,331,333,
336,345,346,347,348,352,363,364,369,371,374,377,385,399,411,416,417,419,426,
433,436,444,445,495,497,500,501,505,508,519,523,527,531,534,539,562,583,593,
596,597,598,650,655,661,688,705,727,738,741,762,811,813,814,815,816,832,836,
837,862,866,870,874,882,883,889,892,893,926,930,939,974,976,984,985,986,1015,
1030,1034,1052,1054,1058,1059,1062,1072,1102,1103,1106,1107,1110,1120,1137,
1141,1146,1148,1164,1166,1185,1231,1238,1258,1271,1314,1322,1326,1354,1367,
1368,1383,1495,1500,1503,1518,1521,1537,1545,1564,1569,1571,1573,1591,1596,
1601,1602,1610,1649,1674,1676,1707,1745,1787,1820,1858,1859,1863,1871,1915,
1954,1976,1982,2053,2084,2176],[1,2,3,5,6,7,9,19,20,21,22,24,25,26,29,31,35,
36,37,38,40,42,44,47,48,49,58,64,67,68,69,70,82,83,84,85,100,101,104,105,107,
108,110,111,116,125,138,141,150,151,155,156,157,158,161,162,163,164,165,166,
169,176,177,178,179,180,200,203,205,206,207,208,209,210,212,215,219,220,233,
234,238,253,265,266,267,283,293,294,295,316,319,320,329,330,331,332,333,336,
344,345,347,348,364,365,369,371,374,417,418,419,420,433,434,435,436,444,445,
495,497,500,501,505,506,507,508,509,519,521,522,523,524,525,526,527,528,529,
530,531,534,539,560,561,562,583,591,592,593,594,595,596,597,598,599,600,601,
602,632,636,637,650,655,661,688,705,706,727,736,737,738,741,762,763,811,813,
814,815,816,817,818,832,835,836,837,866,867,882,883,889,892,893,913,914,915,
930,939,948,949,974,975,976,977,984,985,986,1052,1053,1054,1055,1056,1057,
1058,1059,1062,1072,1073,1102,1103,1107,1110,1137,1141,1142,1143,1144,1145,
1147,1149,1151,1164,1166,1185,1203,1220,1258,1283,1301,1314,1322,1352,1353,
1368,1369,1383,1384,1420,1460,1461,1462,1463,1469,1503,1518,1521,1537,1545,
1564,1568,1572,1573,1589,1590,1592,1593,1597,1602,1606,1607,1611,1647,1648,
1649,1674,1676,1707,1708,1743,1745,1821,1852,1860,1863,1870,1878,1883,1887,
1894,1915,1932,1974,1981,2051,2084,2097,2177],[1,2,3,4,5,6,7,8,11,12,13,14,15,
16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,
44,45,46,48,49,50,52,54,57,65,67,68,70,72,73,74,75,76,77,78,79,80,81,83,84,85,
86,87,89,90,92,93,94,95,96,97,99,100,101,102,103,105,106,109,110,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,131,132,134,135,
136,137,138,139,140,141,142,143,144,145,147,148,152,153,154,155,157,159,160,
163,165,166,167,168,170,172,173,177,179,180,182,183,184,186,188,189,190,191,
192,193,195,196,197,200,201,202,203,204,206,208,211,213,214,217,218,226,228,
239,242,248,252,254,260,263,266,269,271,272,273,274,276,278,279,280,282,283,
284,285,286,287,288,289,290,291,292,294,296,297,298,299,303,304,311,312,314,
315,316,317,318,320,322,323,325,330,334,335,338,349,350,351,365,370,372,373,
376,377,378,379,380,381,383,385,386,390,391,396,399,401,403,407,409,410,411,
413,418,420,421,422,423,424,426,431,432,434,435,437,438,439,441,443,446,448,
449,451,452,454,455,457,458,459,461,462,464,465,466,468,469,471,472,473,476,
477,482,483,489,491,492,493,495,496,497,498,499,500,501,502,503,504,506,507,
509,513,515,517,518,520,524,525,526,528,532,533,535,536,537,538,540,541,542,
544,545,547,554,555,556,557,563,564,565,569,570,571,572,574,575,584,585,586,
588,589,590,615,620,625,629,642,653,656,664,667,672,675,677,680,683,690,691,
692,693,694,697,698,701,702,704,706,708,710,711,713,715,716,717,720,721,727,
728,729,733,735,739,740,742,743,745,747,752,753,755,759,760,763,765,766,768,
770,772,773,775,777,779,780,781,787,788,789,790,792,794,798,800,802,812,817,
819,821,825,826,828,829,831,833,834,838,847,852,854,855,856,857,859,861,862,
863,865,867,873,874,876,878,879,881,884,886,888,891,900,901,907,908,910,911,
922,941,942,943,951,953,955,975,977,995,1002,1003,1008,1009,1015,1016,1029,
1030,1036,1038,1039,1040,1047,1048,1060,1061,1063,1064,1066,1068,1073,1108,
1109,1112,1114,1133,1165,1171,1178,1184,1189,1201,1204,1206,1209,1218,1225,
1230,1232,1245,1257,1262,1263,1265,1267,1273,1274,1277,1286,1288,1292,1294,
1295,1296,1298,1302,1304,1306,1309,1310,1313,1324,1336,1337,1343,1344,1356,
1358,1365,1367,1380,1382,1384,1390,1396,1428,1430,1438,1440,1441,1443,1445,
1446,1475,1490,1491,1498,1499,1514,1522,1525,1560,1563,1631,1632,1639,1650,
1657,1658,1667,1680,1684,1693,1697,1700,1704,1721,1723,1728,1760,1768,1770,
1783,1815,1816,1828,1830,1838,1839,1845,1846,1917,1925,1929,1936,1937,1943,
1955,1970,1971,1986,2013,2081,2085,2088,2091,2094,2100,2102,2178],[1,2,3,5,6,
7,9,11,15,19,20,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,55,56,58,
64,66,67,69,70,71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,108,110,111,
114,116,119,121,124,125,128,130,133,138,150,155,156,157,158,159,161,162,163,
164,165,168,169,176,177,178,179,181,183,185,200,205,206,209,210,211,212,219,
233,238,240,241,249,250,251,253,255,259,262,265,267,277,279,281,283,286,290,
293,294,295,298,300,302,304,321,324,329,330,331,332,333,344,346,352,353,362,
363,369,371,374,377,378,383,393,396,398,399,411,413,415,416,417,419,444,445,
447,448,450,451,453,456,460,463,467,474,484,486,490,491,492,494,500,505,506,
507,508,509,521,522,523,524,526,527,528,529,530,531,534,539,560,561,562,564,
591,592,594,595,622,626,631,632,636,650,655,660,661,663,668,671,674,678,679,
684,688,689,691,695,698,699,705,706,707,709,712,714,718,719,736,737,738,741,
742,744,746,750,753,754,759,798,802,804,807,808,810,811,813,814,815,816,818,
835,839,840,868,870,872,874,879,880,882,883,889,890,913,914,915,926,948,949,
962,967,970,971,987,989,1024,1052,1053,1054,1055,1075,1076,1078,1079,1080,
1084,1087,1105,1106,1116,1120,1134,1164,1177,1181,1182,1203,1210,1211,1212,
1213,1217,1220,1223,1228,1231,1238,1246,1256,1270,1271,1283,1299,1301,1307,
1310,1311,1312,1314,1326,1368,1369,1377,1378,1381,1399,1400,1460,1461,1462,
1463,1479,1500,1511,1529,1532,1549,1550,1633,1638,1647,1649,1660,1663,1673,
1678,1682,1687,1698,1701,1702,1725,1726,1756,1776,1784,1820,1821,1850,1916,
1926,1930,1931,1932,1942,1954,1972,1973,1987,2018,2083,2087,2090,2092,2095,
2101,2105,2179],[1,2,3,4,5,6,10,11,15,16,18,19,20,22,25,26,28,29,31,32,34,35,
38,40,44,45,47,50,59,60,61,62,63,67,69,71,72,73,76,80,82,84,85,87,89,90,93,94,
99,100,101,104,108,111,114,116,119,121,125,130,131,133,134,136,137,138,139,
142,144,147,150,156,158,164,169,173,176,178,181,182,185,186,189,190,191,195,
197,200,202,205,212,218,230,236,243,244,245,246,247,256,257,258,261,265,268,
276,277,279,281,283,286,290,293,295,298,302,305,308,311,314,321,324,327,329,
333,341,357,358,368,369,371,374,376,378,386,387,397,404,410,417,419,424,429,
439,447,450,452,453,456,458,460,463,466,467,469,471,474,480,484,485,490,494,
498,500,505,508,510,512,513,518,523,527,531,534,539,541,542,545,548,551,555,
556,562,568,572,581,582,589,590,616,618,619,633,640,644,646,647,658,665,666,
673,676,681,682,685,688,689,691,699,702,705,707,709,712,714,718,719,722,725,
732,733,738,741,742,744,746,749,754,756,766,780,783,796,811,813,814,815,816,
821,822,826,842,844,848,850,861,872,880,882,883,884,890,904,908,917,918,928,
931,934,958,959,982,996,1012,1026,1029,1031,1039,1042,1046,1047,1069,1092,
1094,1099,1124,1128,1130,1162,1173,1175,1176,1190,1191,1192,1195,1197,1198,
1199,1221,1224,1234,1236,1247,1256,1268,1269,1280,1284,1289,1302,1307,1311,
1312,1314,1330,1332,1333,1338,1346,1348,1378,1381,1392,1402,1446,1453,1459,
1466,1481,1488,1489,1519,1533,1565,1634,1636,1642,1651,1662,1664,1669,1677,
1685,1688,1690,1691,1703,1724,1726,1761,1772,1780,1819,1825,1836,1840,1918,
1927,1933,1938,1940,1941,1952,1962,1965,1988,2014,2082,2086,2089,2093,2096,
2098,2103,2180],[1,2,3,5,6,7,9,12,13,14,15,17,19,20,22,24,25,26,27,29,30,31,
32,35,36,37,38,39,40,42,43,44,45,47,49,51,55,56,58,64,66,69,70,71,72,78,80,81,
83,84,86,88,89,91,92,95,96,97,100,101,105,107,110,111,114,115,116,118,119,120,
121,122,123,124,126,128,129,133,138,146,149,150,151,155,156,157,158,159,161,
162,163,164,165,167,168,169,171,176,177,178,181,182,183,184,188,189,194,198,
201,205,207,210,211,212,213,215,217,219,220,227,238,240,241,249,250,251,253,
255,259,262,267,269,273,274,275,277,286,287,289,292,294,297,298,300,301,302,
303,304,305,313,319,322,329,332,336,339,344,346,352,353,354,355,356,361,363,
376,377,381,382,383,392,393,394,396,397,398,399,400,401,402,403,405,412,414,
415,416,430,442,446,448,450,451,453,460,468,474,475,484,486,489,490,491,492,
493,514,516,519,521,522,526,527,528,530,531,536,539,546,553,558,561,563,564,
574,580,583,591,593,594,596,597,598,599,600,601,602,622,623,624,626,627,631,
632,650,651,652,660,661,663,668,670,671,674,678,679,684,693,695,697,698,703,
707,713,718,734,737,750,752,753,759,760,761,767,771,773,775,776,778,779,786,
801,803,804,807,809,824,830,839,840,844,846,847,852,854,864,871,877,887,895,
896,897,898,912,923,926,939,946,948,963,968,969,972,973,978,979,980,987,988,
989,991,992,993,1011,1012,1013,1045,1050,1074,1076,1077,1078,1080,1083,1084,
1085,1087,1090,1100,1101,1104,1115,1116,1119,1120,1121,1135,1139,1140,1141,
1142,1143,1144,1145,1146,1148,1151,1180,1181,1182,1200,1202,1203,1210,1211,
1212,1213,1214,1216,1217,1223,1228,1231,1239,1240,1243,1246,1261,1275,1291,
1294,1305,1319,1320,1333,1350,1351,1387,1401,1404,1424,1431,1451,1452,1456,
1506,1508,1511,1516,1528,1532,1538,1539,1541,1543,1552,1555,1556,1575,1578,
1579,1589,1591,1594,1595,1598,1604,1608,1609,1612,1655,1660,1663,1665,1678,
1682,1687,1698,1702,1709,1729,1747,1827,1851,1862,1865,1867,1876,1880,1885,
1893,1944,1946,1950,1956,1958,1959,1960,1987,2050,2106,2109,2110,2111,2112,
2114,2119,2181],[1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,55,
56,58,64,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,83,84,85,86,87,88,91,92,
93,94,95,96,97,98,99,100,101,102,103,105,106,107,109,110,111,112,113,114,115,
116,117,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,145,146,148,149,150,152,153,154,155,156,157,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,174,175,176,177,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,198,199,200,
201,202,203,204,206,208,210,211,212,213,214,216,217,218,227,229,238,240,241,
249,250,251,253,255,259,262,266,267,268,270,275,276,277,278,280,282,283,284,
285,287,288,289,291,292,294,296,297,298,299,300,301,302,303,304,305,306,307,
309,310,311,312,313,315,316,317,318,320,321,322,323,325,326,327,328,330,332,
334,335,337,338,339,340,341,342,343,349,350,351,352,353,354,355,356,359,360,
362,363,365,366,367,370,372,373,375,377,379,380,382,383,384,385,388,389,393,
395,398,399,400,401,402,403,406,408,409,411,412,414,415,416,418,420,422,423,
425,426,427,428,434,435,437,438,440,441,446,447,448,449,451,452,453,454,455,
456,457,458,459,460,461,462,463,464,465,466,468,469,470,471,472,473,476,477,
478,479,481,482,483,484,485,486,487,488,489,490,491,492,493,495,496,497,498,
499,500,501,502,503,504,506,507,509,510,511,512,514,515,516,517,520,521,522,
524,525,526,527,528,530,532,533,535,536,537,538,539,540,541,542,543,544,545,
547,548,549,550,551,552,553,554,557,558,559,561,563,564,565,566,567,568,569,
570,571,572,573,574,575,576,577,578,579,580,581,582,584,585,586,587,588,589,
590,614,621,622,623,624,626,627,628,630,631,632,643,650,651,652,654,657,660,
661,663,668,669,671,674,678,679,684,690,692,695,696,697,698,700,701,702,704,
706,708,709,710,711,713,715,716,717,718,720,721,722,723,724,726,727,728,729,
730,731,732,734,735,737,739,740,743,745,747,748,750,751,753,755,757,758,763,
764,765,769,770,771,773,774,776,777,781,782,784,785,789,790,792,794,795,797,
799,800,804,805,806,807,808,809,812,817,819,820,823,827,828,833,834,838,840,
841,843,845,849,851,853,854,856,857,859,860,862,867,869,871,873,874,875,881,
885,886,891,899,900,901,902,903,904,905,906,907,908,909,910,911,916,917,918,
919,920,922,923,924,929,931,932,933,934,935,936,937,938,940,941,942,943,944,
945,946,947,951,953,955,956,957,960,961,962,964,965,967,971,972,975,977,979,
981,983,991,992,995,997,999,1000,1001,1002,1004,1006,1007,1009,1010,1015,1017,
1019,1020,1022,1023,1025,1027,1028,1030,1032,1033,1040,1041,1043,1044,1048,
1049,1060,1061,1063,1064,1066,1068,1070,1071,1073,1075,1076,1080,1082,1083,
1084,1086,1087,1088,1089,1090,1091,1093,1095,1096,1097,1098,1108,1109,1112,
1114,1115,1116,1118,1120,1121,1122,1123,1125,1126,1127,1129,1131,1133,1138,
1140,1170,1179,1180,1181,1182,1183,1186,1187,1188,1200,1202,1203,1205,1207,
1208,1210,1211,1212,1213,1214,1215,1216,1217,1219,1223,1226,1227,1228,1229,
1231,1233,1241,1242,1244,1246,1276,1277,1278,1279,1280,1281,1282,1285,1287,
1288,1290,1296,1298,1300,1303,1304,1313,1324,1329,1331,1335,1337,1339,1340,
1342,1343,1345,1347,1349,1359,1360,1362,1363,1366,1367,1371,1373,1376,1382,
1384,1386,1388,1390,1393,1394,1396,1398,1399,1403,1405,1406,1408,1410,1413,
1414,1418,1419,1421,1422,1423,1425,1426,1428,1429,1432,1433,1435,1436,1438,
1439,1441,1442,1444,1445,1447,1448,1454,1455,1457,1458,1467,1468,1471,1472,
1475,1476,1477,1482,1514,1515,1516,1520,1522,1525,1526,1527,1531,1532,1534,
1535,1553,1554,1556,1557,1560,1563,1566,1567,1581,1582,1583,1584,1587,1588,
1654,1656,1659,1660,1661,1663,1665,1678,1679,1681,1682,1683,1686,1687,1694,
1695,1696,1698,1699,1702,1705,1706,1710,1732,1733,1734,1737,1740,1741,1744,
1760,1762,1764,1805,1807,1809,1823,1824,1826,1828,1829,1832,1889,1890,1895,
1896,1945,1947,1948,1949,1951,1957,1961,1985,1987,1989,2007,2107,2108,2113,
2115,2116,2117,2118,2182],[1,5,6,9,19,20,21,35,47,53,56,67,68,82,164,178,215,
223,233,234,238,265,266,336,345,374,433,523,622,741,762,986,1164,1166,1185,
1253,1258,1629,1633,1908,1915,2183],[1,2,5,8,11,19,22,25,35,38,53,69,71,76,82,
101,104,108,111,225,226,228,264,265,277,279,281,293,295,609,688,689,1161,1165,
1254,1256,1629,1910,1913,1993,2066,2184],[1,5,6,8,19,20,35,47,48,53,65,67,82,
164,178,180,220,223,228,260,264,265,374,434,523,596,612,642,687,741,1056,1103,
1161,1232,1255,1572,1629,1666,1908,1975,1993,2070,2128,2185],[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,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,67,68,69,70,71,72,73,74,75,76,
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,
216,217,218,219,220,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
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,
602,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
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,
1143,1144,1145,1146,1147,1148,1149,1150,1151,1256,1257,1258,1259,1260,1261,
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,
1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1721,1722,1723,1724,1725,
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,
1891,1892,1893,1894,1895,1896,1897,1898,1899,1999,2000,2001,2002,2003,2004,
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,
2050,2051,2052,2053,2054,2055,2131,2132,2133,2134,2135,2136,2137,2138,2139,
2140,2141,2142,2143,2144,2145,2186],[1,6,8,9,10,21,23,46,53,56,59,65,127,221,
222,223,229,234,235,237,239,242,263,264,606,608,614,617,683,686,687,1152,1155,
1248,1251,1253,1627,1628,1713,1911,1912,2187],[1,2,4,5,8,10,11,16,19,22,25,28,
35,38,45,50,54,61,62,69,71,73,76,82,93,101,104,108,111,131,134,139,144,173,
182,189,195,222,226,228,230,236,243,246,258,265,268,277,279,281,293,295,305,
308,376,386,387,397,404,410,452,471,480,485,548,555,604,619,620,625,640,644,
647,658,681,688,689,722,725,749,756,766,780,783,844,848,850,1154,1161,1162,
1165,1175,1176,1190,1192,1234,1236,1256,1268,1269,1284,1289,1621,1631,1632,
1642,1651,1690,1691,1724,1901,1913,1918,1933,1952,2060,2077,2098,2146,2188],[
1,2,3,4,5,6,8,10,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,
38,39,40,45,48,50,52,54,61,62,65,67,72,75,76,77,78,80,81,84,85,86,87,89,90,92,
93,94,95,96,97,99,100,101,102,114,115,116,118,119,120,121,122,123,131,136,139,
142,144,145,147,148,152,154,160,172,173,180,186,189,193,195,196,197,202,208,
222,226,228,230,231,232,235,236,237,239,243,246,252,258,260,269,271,272,273,
274,276,279,280,283,285,286,287,288,289,290,291,292,297,298,299,311,314,315,
320,373,385,386,390,391,407,409,410,418,424,426,431,432,434,437,439,441,443,
458,469,471,477,498,513,515,517,518,520,533,541,542,547,554,555,556,557,604,
619,620,625,634,635,639,640,641,642,645,647,648,653,656,662,677,681,691,692,
693,694,702,704,733,735,745,780,781,787,792,819,821,825,826,828,829,831,833,
859,861,862,863,865,867,884,886,888,1154,1155,1162,1163,1165,1167,1168,1169,
1172,1174,1175,1178,1184,1189,1192,1193,1196,1201,1230,1232,1235,1236,1237,
1257,1265,1267,1273,1274,1298,1302,1304,1306,1621,1624,1632,1637,1641,1642,
1644,1646,1650,1653,1689,1691,1692,1697,1700,1723,1901,1903,1914,1917,1919,
1929,1935,1953,1955,2060,2061,2075,2099,2100,2148,2189],[1,2,5,7,8,9,11,19,22,
24,25,35,36,38,43,49,57,58,64,69,70,71,76,82,101,104,107,108,111,124,128,157,
162,163,177,183,209,221,226,228,233,238,241,253,259,265,267,277,279,281,293,
295,300,331,393,399,413,416,444,445,448,486,522,528,529,560,603,615,629,632,
636,650,655,661,679,688,689,695,736,798,807,810,818,835,868,870,889,1153,1161,
1164,1165,1177,1181,1203,1220,1231,1238,1256,1270,1271,1299,1301,1622,1639,
1640,1647,1649,1698,1701,1725,1900,1913,1916,1932,1954,2062,2076,2101,2147,
2190],[1,2,3,5,6,8,10,11,12,13,14,15,19,20,21,22,23,25,26,27,29,30,31,32,38,
39,40,44,46,59,62,65,67,68,72,75,76,77,78,80,81,84,85,86,89,90,92,95,96,97,
100,101,102,114,115,116,118,119,120,121,122,123,125,127,138,141,143,200,203,
204,222,226,228,230,231,232,235,236,237,239,242,243,263,266,269,271,272,273,
274,279,280,283,285,286,287,288,289,290,291,292,297,298,299,316,318,378,379,
380,421,422,423,495,497,499,500,501,504,608,616,617,642,645,647,648,653,656,
662,683,691,692,693,694,727,728,742,743,788,789,790,855,856,857,1154,1155,
1162,1163,1165,1167,1168,1169,1171,1172,1174,1175,1178,1184,1225,1257,1262,
1263,1295,1296,1628,1634,1635,1650,1653,1667,1680,1721,1901,1903,1914,1917,
1919,1925,1943,2056,2073,2091,2148,2191],[1,2,4,5,8,10,11,16,19,22,25,28,35,
38,45,50,54,62,63,69,71,73,76,82,93,101,104,108,111,131,134,139,144,173,182,
189,195,222,226,228,230,236,243,244,261,265,268,277,279,281,293,295,305,308,
376,386,387,397,404,410,452,471,480,485,548,555,607,620,625,644,646,647,658,
685,688,689,722,725,749,756,766,780,783,844,848,850,1154,1161,1162,1165,1173,
1175,1176,1224,1256,1268,1269,1284,1289,1625,1631,1632,1651,1669,1677,1724,
1901,1913,1918,1927,1941,2057,2077,2093,2146,2192],[1,2,5,7,8,9,11,19,22,24,
25,35,36,38,43,49,57,64,66,69,70,71,76,82,101,104,107,108,111,124,128,157,162,
163,177,183,209,221,226,228,233,238,240,241,262,265,267,277,279,281,293,295,
300,331,393,399,413,416,444,445,448,486,522,528,529,560,605,615,629,650,655,
660,661,684,688,689,695,736,798,807,810,818,835,868,870,889,1153,1161,1164,
1165,1177,1181,1182,1228,1256,1270,1271,1299,1301,1626,1639,1640,1649,1673,
1678,1725,1900,1913,1916,1926,1942,2058,2076,2092,2147,2193],[1,2,3,5,6,8,10,
11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,59,60,62,65,67,69,71,72,76,80,82,
84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,
164,169,176,178,181,185,200,205,212,222,226,228,230,236,243,245,256,265,277,
279,281,283,286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,
447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,
562,608,616,618,633,642,644,647,653,656,658,665,688,689,691,699,705,707,709,
712,714,718,719,738,741,742,744,746,754,811,813,814,815,816,872,880,882,883,
890,1154,1161,1162,1165,1175,1176,1195,1197,1199,1221,1256,1307,1311,1312,
1314,1378,1381,1620,1634,1636,1650,1651,1662,1666,1667,1726,1901,1913,1918,
1938,1940,2056,2078,2082,2146,2194],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,19,20,
22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,45,49,54,57,62,63,
65,67,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,89,90,92,95,96,97,100,101,
102,103,105,106,109,110,112,113,114,115,116,118,119,120,121,122,123,124,126,
128,129,134,135,139,140,153,155,157,159,163,165,167,168,177,179,182,183,188,
201,206,211,213,222,226,228,230,231,232,235,236,237,239,243,248,254,269,271,
272,273,274,278,279,280,282,283,285,286,287,288,289,290,291,292,294,296,297,
298,299,303,304,322,325,330,335,376,377,381,383,396,399,401,403,411,413,446,
448,451,452,454,457,461,462,464,468,476,482,483,489,491,492,493,502,506,507,
509,524,526,528,532,536,537,538,563,564,607,615,620,629,642,645,646,647,648,
649,653,656,659,662,667,690,691,692,693,694,697,698,706,708,710,713,715,716,
717,720,721,740,752,753,759,760,765,766,768,770,772,773,775,777,779,798,800,
802,847,852,854,874,876,878,879,891,1154,1155,1162,1163,1165,1167,1168,1169,
1172,1174,1175,1178,1184,1204,1206,1209,1218,1257,1286,1288,1292,1294,1309,
1310,1380,1382,1617,1631,1639,1650,1652,1653,1658,1669,1670,1672,1728,1901,
1903,1914,1917,1919,1936,1937,2057,2080,2081,2148,2195],[1,2,3,5,6,8,9,11,15,
19,20,22,25,26,29,31,32,35,38,40,44,47,55,56,64,65,67,69,71,72,76,80,82,84,85,
89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,
176,178,181,185,200,205,212,221,226,228,233,238,241,249,251,265,277,279,281,
283,286,290,293,295,298,302,321,324,329,333,369,371,374,378,417,419,447,450,
453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,606,
622,626,631,642,650,653,655,656,661,663,688,689,691,699,705,707,709,712,714,
718,719,738,741,742,744,746,754,811,813,814,815,816,872,880,882,883,890,1153,
1161,1164,1165,1177,1181,1210,1211,1212,1223,1256,1307,1311,1312,1314,1378,
1381,1618,1633,1638,1649,1650,1660,1666,1667,1726,1900,1913,1916,1930,1931,
2059,2078,2083,2147,2196],[1,5,6,7,8,9,19,20,21,35,36,37,47,48,49,57,58,64,65,
67,68,82,83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,221,
228,229,233,234,238,241,242,253,254,259,260,265,266,336,345,374,433,434,435,
445,523,524,525,560,561,594,595,596,599,601,603,629,630,632,636,637,642,643,
655,670,679,680,741,762,763,818,915,986,1052,1053,1056,1057,1103,1144,1147,
1152,1153,1161,1164,1166,1170,1171,1177,1185,1208,1209,1220,1232,1233,1238,
1239,1240,1243,1258,1460,1469,1572,1573,1607,1611,1622,1623,1640,1647,1648,
1666,1674,1693,1694,1701,1708,1709,1883,1900,1902,1915,1920,1921,1923,1969,
1974,1975,1976,2062,2063,2097,2121,2122,2123,2149,2197],[1,2,3,5,6,11,15,19,
20,22,25,26,29,31,32,35,38,40,44,47,48,52,53,67,69,71,72,76,80,82,84,85,89,90,
100,101,104,108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,176,
178,180,181,185,193,196,200,205,208,212,220,223,224,225,265,277,279,281,283,
286,290,293,295,298,302,315,320,321,324,329,333,369,371,374,378,385,391,417,
418,419,426,431,434,447,450,453,456,460,463,467,474,484,490,494,500,505,508,
523,527,531,534,539,562,596,597,598,609,610,611,612,613,688,689,691,699,705,
707,709,712,714,718,719,738,741,742,744,746,754,811,813,814,815,816,862,865,
867,872,880,882,883,890,1023,1033,1034,1056,1100,1101,1102,1103,1141,1150,
1158,1159,1160,1256,1274,1307,1311,1312,1314,1352,1354,1360,1378,1381,1536,
1537,1538,1568,1569,1571,1572,1629,1630,1726,1778,1803,1859,1860,1908,1909,
1910,2021,2066,2067,2068,2069,2070,2153,2154,2155,2198],[1,2,3,4,6,8,10,11,12,
13,15,16,18,23,30,31,34,48,50,52,53,54,59,60,61,62,63,65,75,90,96,99,144,145,
147,148,154,160,196,197,208,222,223,224,225,226,230,231,232,235,237,239,243,
244,245,246,247,252,256,257,258,260,261,264,271,407,431,432,477,517,518,604,
607,608,609,610,611,612,613,625,634,635,639,640,641,645,653,665,666,673,676,
677,681,682,685,687,825,1154,1155,1157,1158,1159,1160,1167,1169,1172,1178,
1196,1201,1230,1235,1247,1251,1254,1255,1620,1621,1624,1625,1630,1644,1646,
1689,1700,1714,1717,1719,1903,1905,1911,1991,1995,1996,1998,2061,2071,2130,
2156,2199],[1,2,3,5,6,10,11,12,13,14,15,17,19,20,21,22,23,25,26,27,29,30,31,
32,35,38,39,40,44,46,47,51,59,60,62,67,68,69,71,72,75,76,77,78,80,81,82,84,85,
86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,
121,122,123,125,127,130,133,138,141,143,146,149,150,151,156,158,164,169,171,
176,178,181,185,187,194,198,200,203,204,205,207,212,215,216,230,232,236,237,
243,245,256,265,266,269,271,272,273,274,275,277,279,280,281,283,285,286,287,
288,289,290,291,292,293,295,297,298,299,302,310,313,316,318,319,321,324,329,
333,336,337,345,347,348,364,369,371,374,375,378,379,380,382,384,392,394,400,
402,405,408,412,417,419,421,422,423,425,430,433,436,440,442,447,450,453,456,
460,463,467,470,474,475,484,490,494,495,497,499,500,501,504,505,508,514,516,
519,523,527,531,534,539,543,546,553,558,562,573,583,587,593,616,617,618,633,
638,644,647,658,665,688,689,691,692,693,694,699,700,703,705,707,709,712,714,
718,719,727,728,734,738,741,742,743,744,746,751,754,761,762,764,767,771,774,
776,778,782,786,788,789,790,791,793,799,801,811,813,814,815,816,820,824,827,
830,832,836,837,846,853,855,856,857,858,860,864,866,872,875,877,880,882,883,
885,887,890,892,893,898,899,909,912,921,930,939,940,950,952,954,974,976,984,
985,986,994,998,1004,1010,1011,1013,1017,1028,1037,1041,1045,1049,1050,1051,
1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1162,1163,1168,
1169,1175,1176,1195,1197,1199,1221,1256,1257,1258,1259,1262,1263,1264,1266,
1272,1275,1276,1287,1291,1293,1295,1296,1297,1303,1305,1307,1308,1311,1312,
1314,1315,1316,1318,1322,1323,1325,1334,1335,1345,1350,1351,1357,1366,1378,
1379,1381,1383,1389,1391,1395,1429,1431,1439,1442,1444,1451,1452,1456,1473,
1474,1492,1493,1497,1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,
1561,1562,1564,1634,1635,1636,1643,1645,1651,1662,1668,1671,1721,1722,1726,
1727,1745,1746,1758,1759,1767,1769,1771,1781,1782,1810,1817,1818,1827,1829,
1837,1841,1847,1856,1914,1918,1938,1940,1963,1968,1999,2000,2002,2008,2009,
2012,2017,2073,2074,2079,2082,2133,2158,2171,2175,2200],[1,2,3,4,5,6,7,8,11,
12,13,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,
42,43,44,45,47,49,50,54,57,65,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,89,90,92,93,95,96,97,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,118,119,120,121,122,123,124,125,126,128,129,130,131,132,
133,134,135,138,139,140,144,150,153,155,156,157,158,159,161,162,163,164,165,
167,168,169,173,176,177,178,179,181,182,183,184,185,188,189,192,195,200,201,
205,206,209,210,211,212,213,217,219,226,228,239,248,254,265,267,268,269,271,
272,273,274,277,278,279,280,281,282,283,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,308,321,322,324,325,329,
330,331,332,333,335,339,344,346,352,353,354,355,356,361,362,363,369,371,374,
375,376,377,378,381,382,383,386,387,393,394,395,396,397,398,399,400,401,402,
403,404,410,411,412,413,414,415,416,417,419,444,445,446,447,448,449,450,451,
452,453,454,456,457,460,461,462,463,464,467,468,471,473,474,476,480,482,483,
484,485,486,487,488,489,490,491,492,493,494,500,502,505,506,507,508,509,521,
522,523,524,526,527,528,529,530,531,532,534,536,537,538,539,548,552,555,560,
561,562,563,564,569,574,575,576,579,580,591,592,594,595,615,620,625,629,642,
653,656,667,688,689,690,691,692,693,694,695,696,697,698,699,705,706,707,708,
709,710,712,713,714,715,716,717,718,719,720,721,722,723,725,736,737,738,740,
741,742,744,746,748,749,750,751,752,753,754,756,759,760,761,764,765,766,767,
768,769,770,771,772,773,774,775,776,777,778,779,780,783,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,813,814,815,816,818,835,839,840,841,844,
845,846,847,848,850,852,853,854,868,869,870,871,872,874,875,876,877,878,879,
880,882,883,889,890,891,894,895,896,897,901,902,905,913,914,915,923,924,925,
926,927,944,945,946,948,949,962,963,964,965,966,967,968,969,970,971,972,973,
978,979,980,981,987,988,989,990,991,992,993,998,1003,1005,1008,1014,1016,1018,
1021,1024,1052,1053,1054,1055,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1104,1105,1106,1115,1116,1117,
1118,1119,1120,1121,1122,1123,1134,1135,1136,1138,1139,1140,1161,1165,1178,
1184,1204,1206,1209,1218,1256,1257,1260,1261,1268,1269,1270,1271,1278,1283,
1284,1285,1286,1287,1288,1289,1291,1292,1293,1294,1299,1300,1301,1307,1308,
1309,1310,1311,1312,1314,1315,1317,1319,1320,1321,1326,1327,1328,1329,1368,
1369,1370,1372,1374,1375,1377,1378,1379,1380,1381,1382,1385,1386,1387,1388,
1397,1398,1399,1400,1401,1427,1430,1434,1460,1461,1462,1463,1470,1476,1477,
1478,1479,1480,1483,1484,1500,1504,1505,1506,1507,1508,1509,1510,1511,1512,
1515,1516,1517,1526,1527,1528,1529,1530,1531,1532,1539,1540,1541,1542,1543,
1544,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1631,1632,
1639,1640,1650,1658,1666,1667,1724,1725,1726,1727,1728,1747,1748,1749,1756,
1757,1763,1764,1765,1766,1776,1777,1784,1810,1811,1820,1821,1831,1848,1849,
1850,1853,1854,1855,1913,1917,1936,1937,1969,1971,1999,2001,2003,2010,2011,
2018,2019,2076,2077,2078,2081,2134,2159,2168,2169,2201],[1,2,3,4,5,6,7,8,11,
15,16,17,18,19,20,21,22,24,25,26,28,29,31,32,33,34,35,36,38,40,41,43,44,45,47,
49,50,54,57,65,67,68,69,70,71,72,73,74,76,80,82,84,85,87,88,89,90,91,93,94,98,
99,100,101,103,104,107,108,111,112,114,116,117,119,121,124,125,126,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,144,147,150,151,153,156,
157,158,162,163,164,167,169,173,176,177,178,181,182,183,184,185,186,187,188,
189,190,191,192,195,197,200,201,202,203,205,207,209,212,213,215,216,217,218,
226,228,242,248,252,265,266,267,268,270,275,276,277,278,279,281,283,284,286,
290,293,295,298,300,301,302,303,305,306,307,308,310,311,312,314,316,317,319,
321,322,323,324,326,327,328,329,331,333,336,337,338,339,340,341,342,343,345,
347,348,354,355,356,357,358,361,364,368,369,371,374,376,378,381,386,387,393,
395,397,399,401,403,404,410,413,414,416,417,419,421,424,429,433,436,439,444,
445,446,447,448,449,450,452,453,454,455,456,457,458,459,460,461,462,463,464,
465,466,467,469,470,471,472,473,474,475,480,482,484,485,486,487,488,489,490,
494,495,496,497,498,500,501,502,503,505,508,510,511,512,513,518,519,522,523,
527,528,529,531,534,538,539,541,542,543,544,545,546,548,549,550,551,552,555,
556,560,562,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,
582,583,584,585,586,587,588,589,590,593,615,620,625,629,642,653,656,664,688,
689,691,695,696,699,700,701,702,703,705,707,709,710,711,712,714,716,718,719,
722,723,724,725,727,729,730,731,732,733,736,738,741,742,744,746,749,752,754,
756,762,766,769,772,775,777,780,783,788,791,793,796,798,803,805,807,810,811,
813,814,815,816,818,821,822,826,832,835,836,837,841,842,844,848,850,852,855,
858,861,866,868,870,872,876,880,882,883,884,889,890,892,893,898,899,900,901,
902,903,904,905,906,907,908,909,910,911,912,916,917,918,919,920,921,925,928,
930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,950,
952,954,958,959,963,966,973,974,976,978,980,982,984,985,986,993,994,996,999,
1000,1001,1003,1005,1008,1012,1014,1016,1018,1021,1026,1029,1031,1039,1042,
1046,1047,1058,1059,1062,1065,1067,1069,1072,1074,1081,1085,1086,1088,1089,
1090,1092,1094,1099,1107,1110,1111,1113,1117,1119,1121,1123,1124,1128,1130,
1132,1137,1139,1161,1165,1171,1189,1201,1204,1206,1256,1258,1259,1268,1269,
1270,1271,1275,1276,1277,1278,1279,1280,1281,1282,1284,1286,1289,1295,1297,
1299,1301,1302,1307,1311,1312,1314,1316,1318,1322,1323,1325,1328,1330,1332,
1333,1336,1338,1341,1344,1346,1348,1361,1364,1365,1370,1372,1374,1375,1378,
1381,1383,1385,1387,1389,1391,1392,1395,1397,1402,1404,1407,1409,1411,1412,
1417,1421,1422,1423,1424,1427,1430,1434,1437,1440,1443,1446,1449,1450,1453,
1459,1466,1470,1473,1474,1478,1481,1483,1484,1488,1489,1501,1502,1503,1513,
1517,1518,1519,1521,1523,1524,1527,1530,1533,1545,1546,1555,1558,1559,1561,
1562,1564,1565,1580,1585,1586,1631,1632,1639,1640,1650,1657,1666,1667,1724,
1725,1726,1729,1730,1731,1735,1736,1742,1744,1745,1746,1750,1751,1758,1759,
1761,1763,1765,1766,1772,1777,1780,1792,1793,1797,1798,1799,1804,1806,1808,
1811,1819,1822,1825,1830,1831,1836,1840,1848,1849,1856,1875,1888,1897,1913,
1921,1925,1929,1937,1970,1971,2000,2006,2014,2019,2027,2028,2029,2043,2047,
2076,2077,2078,2102,2131,2160,2168,2170,2202],[1,2,3,4,5,6,7,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,59,60,61,62,63,67,68,69,70,71,72,73,74,75,
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,
216,217,218,219,230,232,236,237,244,246,247,256,257,266,267,268,269,270,271,
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,
329,330,331,332,333,334,335,337,338,339,340,341,342,343,344,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
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,
427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,446,447,
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,
581,582,584,585,586,587,588,589,590,591,592,594,595,616,617,618,619,633,634,
638,639,640,644,646,647,649,658,659,666,689,690,691,692,693,694,695,696,697,
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,
736,737,738,739,740,742,743,744,745,746,747,748,749,750,751,752,753,754,755,
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,
816,817,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,837,
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,
876,877,878,879,880,881,884,885,886,887,888,890,891,894,895,896,897,899,900,
901,902,903,904,905,906,907,908,909,910,911,913,914,915,916,917,918,919,920,
921,922,923,924,925,926,927,928,929,931,932,933,934,935,936,937,938,940,941,
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,
980,981,982,983,987,988,989,990,991,992,993,994,995,996,997,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1047,1048,1049,1056,1057,1059,1060,
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,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1104,1105,1106,1107,1108,1109,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1138,1139,1140,1162,
1163,1168,1169,1173,1190,1191,1192,1194,1197,1198,1221,1222,1257,1260,1261,
1262,1263,1264,1265,1266,1267,1272,1273,1274,1276,1277,1278,1279,1280,1281,
1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,
1297,1298,1299,1300,1302,1303,1304,1305,1306,1308,1309,1310,1312,1313,1317,
1319,1320,1321,1323,1324,1326,1327,1328,1329,1330,1331,1335,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1352,1353,1354,1355,
1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1370,1371,1372,
1373,1375,1376,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,
1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1405,1406,1407,
1408,1409,1410,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,
1425,1426,1427,1428,1429,1430,1432,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1445,1446,1447,1448,1449,1453,1454,1455,1457,1458,1459,
1464,1465,1466,1467,1468,1469,1470,1471,1472,1474,1475,1476,1477,1478,1479,
1480,1481,1482,1485,1486,1487,1490,1491,1492,1494,1495,1496,1497,1498,1499,
1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1519,
1520,1521,1522,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,
1539,1540,1541,1542,1543,1544,1547,1548,1549,1550,1551,1552,1553,1554,1555,
1556,1557,1558,1559,1560,1562,1563,1565,1566,1567,1580,1581,1582,1583,1584,
1585,1586,1587,1588,1634,1635,1636,1637,1641,1642,1643,1645,1646,1651,1652,
1664,1668,1669,1670,1671,1672,1721,1722,1723,1727,1728,1731,1732,1733,1734,
1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1747,1748,1749,1752,1753,
1754,1755,1756,1757,1759,1760,1761,1762,1763,1764,1767,1768,1769,1770,1773,
1774,1775,1778,1779,1782,1783,1785,1786,1787,1788,1789,1790,1791,1794,1795,
1796,1800,1801,1802,1804,1805,1806,1807,1808,1809,1812,1813,1814,1815,1816,
1817,1822,1823,1824,1825,1826,1828,1829,1830,1831,1832,1833,1834,1835,1837,
1838,1839,1842,1843,1844,1845,1846,1847,1853,1854,1855,1872,1873,1874,1888,
1889,1890,1895,1896,1897,1914,1922,1927,1928,1933,1934,1938,1939,1962,1963,
1964,1965,1966,1967,2001,2006,2007,2012,2013,2015,2016,2025,2026,2030,2031,
2032,2033,2040,2041,2042,2044,2045,2046,2073,2074,2075,2079,2080,2103,2104,
2132,2161,2171,2172,2173,2174,2203],[1,2,3,5,6,9,11,12,13,14,15,17,19,20,21,
22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,55,56,64,67,68,69,71,72,75,
76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,146,149,150,
151,156,158,164,169,171,176,178,181,185,187,194,198,200,203,204,205,207,212,
215,216,227,229,233,238,241,249,251,265,266,269,271,272,273,274,275,277,279,
280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,310,313,
316,318,319,321,324,329,333,336,337,345,347,348,364,369,371,374,375,378,379,
380,382,384,392,394,400,402,405,408,412,417,419,421,422,423,425,430,433,436,
440,442,447,450,453,456,460,463,467,470,474,475,484,490,494,495,497,499,500,
501,504,505,508,514,516,519,523,527,531,534,539,543,546,553,558,562,573,583,
587,593,614,621,622,623,624,626,627,631,643,650,651,652,655,661,663,669,670,
688,689,691,692,693,694,699,700,703,705,707,709,712,714,718,719,727,728,734,
738,741,742,743,744,746,751,754,761,762,764,767,771,774,776,778,782,786,788,
789,790,791,793,799,801,811,813,814,815,816,820,824,827,830,832,836,837,846,
853,855,856,857,858,860,864,866,872,875,877,880,882,883,885,887,890,892,893,
898,899,909,912,921,930,939,940,950,952,954,974,976,984,985,986,994,998,1004,
1010,1011,1013,1017,1028,1037,1041,1045,1049,1050,1051,1058,1059,1062,1065,
1067,1072,1107,1110,1111,1113,1132,1137,1164,1170,1177,1180,1181,1188,1200,
1202,1205,1210,1211,1212,1214,1216,1223,1240,1241,1256,1257,1258,1259,1262,
1263,1264,1266,1272,1275,1276,1287,1291,1293,1295,1296,1297,1303,1305,1307,
1308,1311,1312,1314,1315,1316,1318,1322,1323,1325,1334,1335,1345,1350,1351,
1357,1366,1378,1379,1381,1383,1389,1391,1395,1429,1431,1439,1442,1444,1451,
1452,1456,1473,1474,1492,1493,1497,1501,1502,1503,1513,1518,1521,1523,1524,
1545,1546,1559,1561,1562,1564,1633,1638,1649,1654,1655,1656,1660,1665,1721,
1722,1726,1727,1745,1746,1758,1759,1767,1769,1771,1781,1782,1810,1817,1818,
1827,1829,1837,1841,1847,1856,1916,1923,1924,1930,1931,1944,1945,1946,1947,
1949,1950,1980,1999,2000,2002,2008,2009,2012,2017,2083,2106,2107,2133,2157,
2204],[1,2,3,5,6,8,11,12,13,14,15,17,19,20,21,22,23,25,26,27,29,30,31,32,35,
38,39,40,44,46,47,51,65,67,68,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,
91,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,
125,127,130,133,138,141,143,146,149,150,151,156,158,164,169,171,176,178,181,
185,187,194,198,200,203,204,205,207,212,215,216,226,228,239,242,263,265,266,
269,271,272,273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,
293,295,297,298,299,302,310,313,316,318,319,321,324,329,333,336,337,345,347,
348,364,369,371,374,375,378,379,380,382,384,392,394,400,402,405,408,412,417,
419,421,422,423,425,430,433,436,440,442,447,450,453,456,460,463,467,470,474,
475,484,490,494,495,497,499,500,501,504,505,508,514,516,519,523,527,531,534,
539,543,546,553,558,562,573,583,587,593,642,653,656,683,688,689,691,692,693,
694,699,700,703,705,707,709,712,714,718,719,727,728,734,738,741,742,743,744,
746,751,754,761,762,764,767,771,774,776,778,782,786,788,789,790,791,793,799,
801,811,813,814,815,816,820,824,827,830,832,836,837,846,853,855,856,857,858,
860,864,866,872,875,877,880,882,883,885,887,890,892,893,898,899,909,912,921,
930,939,940,950,952,954,974,976,984,985,986,994,998,1004,1010,1011,1013,1017,
1028,1037,1041,1045,1049,1050,1051,1058,1059,1062,1065,1067,1072,1107,1110,
1111,1113,1132,1137,1161,1165,1171,1178,1184,1225,1256,1257,1258,1259,1262,
1263,1264,1266,1272,1275,1276,1287,1291,1293,1295,1296,1297,1303,1305,1307,
1308,1311,1312,1314,1315,1316,1318,1322,1323,1325,1334,1335,1345,1350,1351,
1357,1366,1378,1379,1381,1383,1389,1391,1395,1429,1431,1439,1442,1444,1451,
1452,1456,1473,1474,1492,1493,1497,1501,1502,1503,1513,1518,1521,1523,1524,
1545,1546,1559,1561,1562,1564,1650,1666,1667,1680,1721,1722,1726,1727,1745,
1746,1758,1759,1767,1769,1771,1781,1782,1810,1817,1818,1827,1829,1837,1841,
1847,1856,1913,1917,1921,1925,1943,1999,2000,2002,2008,2009,2012,2017,2078,
2091,2133,2159,2160,2164,2205],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,19,20,22,
23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,50,62,
63,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,89,90,92,93,95,96,
97,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,
119,120,121,122,123,124,125,126,128,129,130,131,132,133,134,135,138,139,140,
144,150,153,155,156,157,158,159,161,162,163,164,165,167,168,169,173,176,177,
178,179,181,182,183,184,185,188,189,192,195,200,201,205,206,209,210,211,212,
213,217,219,230,232,236,237,243,244,261,265,267,268,269,271,272,273,274,277,
278,279,280,281,282,283,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,308,321,322,324,325,329,330,331,332,333,
335,339,344,346,352,353,354,355,356,361,362,363,369,371,374,375,376,377,378,
381,382,383,386,387,393,394,395,396,397,398,399,400,401,402,403,404,410,411,
412,413,414,415,416,417,419,444,445,446,447,448,449,450,451,452,453,454,456,
457,460,461,462,463,464,467,468,471,473,474,476,480,482,483,484,485,486,487,
488,489,490,491,492,493,494,500,502,505,506,507,508,509,521,522,523,524,526,
527,528,529,530,531,532,534,536,537,538,539,548,552,555,560,561,562,563,564,
569,574,575,576,579,580,591,592,594,595,644,646,647,649,658,659,685,688,689,
690,691,692,693,694,695,696,697,698,699,705,706,707,708,709,710,712,713,714,
715,716,717,718,719,720,721,722,723,725,736,737,738,740,741,742,744,746,748,
749,750,751,752,753,754,756,759,760,761,764,765,766,767,768,769,770,771,772,
773,774,775,776,777,778,779,780,783,798,799,800,801,802,803,804,805,806,807,
808,809,810,811,813,814,815,816,818,835,839,840,841,844,845,846,847,848,850,
852,853,854,868,869,870,871,872,874,875,876,877,878,879,880,882,883,889,890,
891,894,895,896,897,901,902,905,913,914,915,923,924,925,926,927,944,945,946,
948,949,962,963,964,965,966,967,968,969,970,971,972,973,978,979,980,981,987,
988,989,990,991,992,993,998,1003,1005,1008,1014,1016,1018,1021,1024,1052,1053,
1054,1055,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1104,1105,1106,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1134,1135,1136,1138,1139,1140,1162,1163,1168,1169,1173,1175,1176,
1224,1256,1257,1260,1261,1268,1269,1270,1271,1278,1283,1284,1285,1286,1287,
1288,1289,1291,1292,1293,1294,1299,1300,1301,1307,1308,1309,1310,1311,1312,
1314,1315,1317,1319,1320,1321,1326,1327,1328,1329,1368,1369,1370,1372,1374,
1375,1377,1378,1379,1380,1381,1382,1385,1386,1387,1388,1397,1398,1399,1400,
1401,1427,1430,1434,1460,1461,1462,1463,1470,1476,1477,1478,1479,1480,1483,
1484,1500,1504,1505,1506,1507,1508,1509,1510,1511,1512,1515,1516,1517,1526,
1527,1528,1529,1530,1531,1532,1539,1540,1541,1542,1543,1544,1547,1548,1549,
1550,1551,1552,1553,1554,1555,1556,1557,1558,1651,1652,1668,1669,1670,1671,
1672,1677,1724,1725,1726,1727,1728,1747,1748,1749,1756,1757,1763,1764,1765,
1766,1776,1777,1784,1810,1811,1820,1821,1831,1848,1849,1850,1853,1854,1855,
1914,1918,1922,1927,1928,1941,1999,2001,2003,2010,2011,2018,2019,2079,2080,
2093,2134,2158,2161,2165,2206],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,
22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,49,50,51,52,60,61,62,
67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
99,100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,
133,134,136,137,138,139,141,142,144,145,146,147,148,149,150,151,152,153,154,
156,158,160,164,169,171,172,173,176,177,178,180,181,182,185,186,187,189,190,
191,193,194,195,196,197,198,200,202,205,207,208,209,212,215,218,230,232,236,
237,245,246,261,268,269,271,272,273,274,275,276,277,279,280,281,283,285,286,
287,288,289,290,291,292,293,295,297,298,299,302,305,308,310,311,313,314,315,
319,320,321,324,327,329,331,333,336,341,345,347,348,357,358,361,364,368,371,
373,374,375,378,381,382,384,385,386,387,390,391,392,393,394,395,400,402,404,
405,407,408,409,410,412,413,417,418,419,421,424,425,426,429,430,431,432,433,
434,436,437,439,440,441,442,443,444,445,447,450,452,453,456,458,460,461,463,
466,467,469,470,471,474,475,477,480,484,485,490,494,495,498,500,505,508,510,
512,513,514,515,516,517,518,519,520,523,527,531,533,534,539,541,542,543,545,
546,547,548,551,553,554,555,556,557,558,562,568,572,581,582,583,589,590,593,
618,619,633,634,638,639,640,644,647,658,676,689,691,692,693,694,699,700,702,
703,704,705,707,709,712,714,718,719,722,725,732,733,734,735,738,744,745,751,
754,756,761,764,767,769,771,772,774,776,778,780,781,782,783,786,787,788,791,
792,793,796,799,801,813,815,819,820,821,822,824,825,826,827,828,829,830,831,
832,833,836,837,842,846,848,850,853,858,859,860,861,862,863,864,865,866,867,
868,872,875,877,883,884,885,886,887,888,889,890,898,904,908,912,917,918,928,
930,931,934,939,950,954,958,959,966,974,980,982,984,985,986,996,1003,1005,
1007,1011,1013,1014,1016,1018,1019,1023,1024,1027,1031,1033,1034,1044,1045,
1046,1047,1050,1051,1052,1054,1056,1058,1062,1065,1067,1069,1072,1081,1092,
1094,1099,1110,1111,1113,1124,1128,1130,1137,1162,1163,1168,1169,1190,1192,
1195,1199,1224,1257,1264,1265,1266,1267,1268,1270,1272,1273,1274,1275,1280,
1287,1289,1291,1293,1297,1298,1302,1303,1304,1305,1306,1307,1308,1325,1330,
1332,1334,1342,1346,1350,1351,1352,1354,1360,1362,1368,1370,1372,1374,1377,
1379,1381,1385,1391,1392,1395,1402,1407,1411,1417,1425,1431,1435,1443,1447,
1449,1450,1451,1452,1456,1458,1473,1481,1483,1486,1488,1493,1496,1518,1519,
1523,1524,1533,1561,1564,1565,1596,1597,1600,1610,1611,1614,1636,1637,1641,
1642,1643,1645,1646,1651,1668,1671,1703,1722,1723,1727,1730,1731,1758,1761,
1771,1775,1777,1778,1781,1784,1798,1799,1813,1818,1824,1827,1833,1840,1841,
1844,1848,1869,1870,1871,1914,1933,1940,1941,1966,1968,2003,2005,2015,2017,
2029,2034,2036,2074,2075,2079,2086,2138,2165,2173,2175,2207],[1,2,3,4,5,6,7,8,
11,15,16,18,19,20,22,24,25,26,28,29,31,32,34,35,36,37,38,40,42,43,44,45,46,47,
49,50,51,54,57,65,67,69,70,71,72,73,76,80,82,83,84,85,87,89,90,93,94,99,100,
101,104,105,107,108,110,111,114,116,119,121,124,125,128,130,131,133,134,136,
137,138,139,142,144,147,150,155,156,157,158,159,161,162,163,164,165,168,169,
170,173,175,176,177,178,179,181,182,183,185,186,189,190,191,194,195,197,198,
200,202,204,205,206,209,210,211,212,218,219,226,228,252,254,263,265,267,268,
276,277,279,281,283,286,290,293,294,295,298,300,302,304,305,308,311,313,314,
318,321,324,327,329,330,331,332,333,341,344,346,349,352,353,357,358,362,363,
366,368,369,370,371,374,376,377,378,379,383,384,386,387,389,393,396,397,398,
399,404,405,410,411,413,415,416,417,419,422,424,425,427,429,438,439,442,444,
445,447,448,450,451,452,453,456,458,460,463,466,467,469,471,474,478,480,484,
485,486,490,491,492,494,498,500,505,506,507,508,509,510,512,513,518,521,522,
523,524,526,527,528,529,530,531,534,535,539,541,542,545,548,551,555,556,560,
561,562,564,568,572,581,582,589,590,591,592,594,595,615,620,625,629,642,653,
656,675,688,689,691,695,698,699,702,705,706,707,709,712,714,718,719,722,725,
732,733,736,737,738,741,742,744,746,747,749,750,753,754,756,757,759,766,780,
783,794,795,796,798,802,804,807,808,810,811,813,814,815,816,818,821,822,826,
835,839,840,842,844,848,850,856,860,861,868,870,872,874,879,880,882,883,884,
887,889,890,904,908,913,914,915,917,918,926,928,931,934,948,949,951,953,957,
958,959,960,962,967,970,971,982,987,989,996,1002,1006,1010,1011,1012,1024,
1026,1029,1031,1035,1036,1037,1039,1040,1042,1043,1045,1046,1047,1049,1051,
1052,1053,1054,1055,1061,1069,1071,1075,1076,1078,1079,1080,1084,1087,1092,
1094,1099,1105,1106,1116,1120,1124,1128,1130,1134,1161,1165,1189,1201,1209,
1218,1225,1256,1262,1264,1268,1269,1270,1271,1280,1283,1284,1289,1299,1301,
1302,1307,1310,1311,1312,1314,1326,1330,1332,1333,1334,1337,1338,1340,1345,
1346,1348,1350,1355,1356,1357,1368,1369,1377,1378,1381,1390,1392,1394,1399,
1400,1402,1405,1408,1416,1432,1446,1453,1454,1459,1460,1461,1462,1463,1465,
1466,1479,1481,1485,1488,1489,1491,1500,1511,1519,1529,1532,1533,1549,1550,
1565,1598,1599,1600,1612,1613,1614,1631,1632,1639,1640,1650,1666,1667,1704,
1724,1725,1726,1733,1739,1756,1761,1772,1776,1780,1781,1782,1784,1796,1801,
1819,1820,1821,1825,1834,1836,1838,1840,1850,1867,1868,1869,1913,1929,1936,
1943,1969,1970,2002,2004,2014,2018,2030,2035,2036,2076,2077,2078,2085,2139,
2164,2169,2170,2208],[1,2,3,4,5,6,10,11,12,13,14,15,16,18,19,20,22,23,25,26,
27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,61,62,67,69,71,72,73,75,76,
77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,130,131,133,134,136,137,138,139,142,
144,145,147,148,150,152,154,156,158,160,164,169,172,173,176,178,180,181,182,
185,186,189,190,191,193,195,196,197,200,202,205,208,212,218,220,230,232,236,
237,243,246,258,265,268,269,271,272,273,274,276,277,279,280,281,283,285,286,
287,288,289,290,291,292,293,295,297,298,299,302,305,308,311,314,315,320,321,
324,327,329,333,341,357,358,368,369,371,373,374,375,376,378,382,385,386,387,
390,391,394,397,400,402,404,407,409,410,412,417,418,419,424,426,429,431,432,
434,437,439,441,443,447,450,452,453,456,458,460,463,466,467,469,471,474,477,
480,484,485,490,494,498,500,505,508,510,512,513,515,517,518,520,523,527,531,
533,534,539,541,542,545,547,548,551,554,555,556,557,562,568,572,581,582,589,
590,596,597,598,619,634,639,640,644,647,658,681,688,689,691,692,693,694,699,
702,704,705,707,709,712,714,718,719,722,725,732,733,735,738,741,742,744,745,
746,749,751,754,756,761,764,766,767,771,774,776,778,780,781,783,787,792,796,
799,801,811,813,814,815,816,819,821,822,825,826,828,829,831,833,842,844,846,
848,850,853,859,861,862,863,865,867,872,875,877,880,882,883,884,886,888,890,
904,908,917,918,928,931,934,958,959,982,996,998,1007,1012,1019,1023,1026,1027,
1029,1031,1033,1034,1039,1042,1044,1046,1047,1056,1069,1092,1094,1099,1100,
1101,1102,1103,1124,1128,1130,1141,1150,1162,1163,1168,1169,1175,1176,1190,
1192,1234,1236,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,1287,1289,
1291,1293,1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,1332,1333,
1338,1342,1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,1425,1435,
1446,1447,1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,1536,1537,
1538,1565,1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1637,1641,1642,
1646,1651,1668,1671,1690,1691,1723,1724,1726,1727,1761,1772,1775,1778,1780,
1803,1810,1813,1819,1824,1825,1833,1836,1840,1844,1859,1860,1861,1862,1898,
1914,1918,1933,1952,1966,1977,1999,2014,2015,2020,2021,2024,2039,2075,2079,
2098,2140,2158,2167,2173,2209],[1,2,3,4,5,6,8,11,12,13,14,15,16,18,19,20,22,
23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,54,65,67,69,71,72,
73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,134,136,137,
138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,173,176,178,
180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,212,218,220,
226,228,239,252,260,265,268,269,271,272,273,274,276,277,279,280,281,283,285,
286,287,288,289,290,291,292,293,295,297,298,299,302,305,308,311,314,315,320,
321,324,327,329,333,341,357,358,368,369,371,373,374,375,376,378,382,385,386,
387,390,391,394,397,400,402,404,407,409,410,412,417,418,419,424,426,429,431,
432,434,437,439,441,443,447,450,452,453,456,458,460,463,466,467,469,471,474,
477,480,484,485,490,494,498,500,505,508,510,512,513,515,517,518,520,523,527,
531,533,534,539,541,542,545,547,548,551,554,555,556,557,562,568,572,581,582,
589,590,596,597,598,620,625,642,653,656,677,688,689,691,692,693,694,699,702,
704,705,707,709,712,714,718,719,722,725,732,733,735,738,741,742,744,745,746,
749,751,754,756,761,764,766,767,771,774,776,778,780,781,783,787,792,796,799,
801,811,813,814,815,816,819,821,822,825,826,828,829,831,833,842,844,846,848,
850,853,859,861,862,863,865,867,872,875,877,880,882,883,884,886,888,890,904,
908,917,918,928,931,934,958,959,982,996,998,1007,1012,1019,1023,1026,1027,
1029,1031,1033,1034,1039,1042,1044,1046,1047,1056,1069,1092,1094,1099,1100,
1101,1102,1103,1124,1128,1130,1141,1150,1161,1165,1178,1184,1189,1201,1230,
1232,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,1287,1289,1291,1293,
1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,1332,1333,1338,1342,
1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,1425,1435,1446,1447,
1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,1536,1537,1538,1565,
1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1631,1632,1650,1666,1667,
1697,1700,1723,1724,1726,1727,1761,1772,1775,1778,1780,1803,1810,1813,1819,
1824,1825,1833,1836,1840,1844,1859,1860,1861,1862,1898,1913,1917,1929,1955,
1970,1975,1999,2014,2015,2020,2021,2024,2039,2077,2078,2100,2140,2159,2166,
2170,2210],[1,2,3,5,6,7,8,11,15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,
40,42,43,44,47,48,49,52,57,65,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,
100,101,104,105,107,108,110,111,114,116,119,121,124,125,128,130,133,138,141,
150,151,155,156,157,158,159,161,162,163,164,165,166,168,169,174,176,177,178,
179,180,181,183,185,187,193,196,200,203,205,206,207,208,209,210,211,212,215,
216,219,220,226,228,242,254,260,265,266,267,275,277,279,281,283,286,290,293,
294,295,298,300,302,304,310,315,316,319,320,321,324,329,330,331,332,333,336,
337,344,345,346,347,348,352,353,362,363,364,365,367,369,371,374,377,378,383,
385,388,391,393,396,398,399,411,413,415,416,417,418,419,420,421,426,428,431,
433,434,435,436,444,445,447,448,450,451,453,456,460,463,467,470,474,475,479,
484,486,490,491,492,494,495,497,500,501,505,506,507,508,509,519,521,522,523,
524,525,526,527,528,529,530,531,534,539,543,546,560,561,562,564,573,583,587,
591,592,593,594,595,596,597,598,599,600,601,602,615,629,642,653,656,680,688,
689,691,695,698,699,700,703,705,706,707,709,712,714,718,719,727,736,737,738,
741,742,744,746,750,753,754,758,759,762,763,788,791,793,797,798,802,804,807,
808,810,811,813,814,815,816,817,818,832,835,836,837,839,840,855,858,862,865,
866,867,868,870,872,874,879,880,882,883,889,890,892,893,898,899,909,912,913,
914,915,921,926,930,939,940,948,949,950,952,954,956,961,962,967,970,971,974,
975,976,977,984,985,986,987,989,994,1015,1020,1023,1024,1025,1030,1033,1034,
1038,1052,1053,1054,1055,1056,1057,1058,1059,1062,1065,1067,1070,1072,1073,
1075,1076,1078,1079,1080,1084,1087,1100,1101,1102,1103,1105,1106,1107,1110,
1111,1113,1116,1120,1132,1134,1137,1141,1142,1143,1144,1145,1146,1147,1148,
1149,1150,1151,1161,1165,1171,1209,1218,1230,1232,1256,1258,1259,1270,1271,
1274,1275,1276,1283,1295,1297,1299,1301,1307,1310,1311,1312,1314,1316,1318,
1322,1323,1325,1326,1352,1353,1354,1358,1360,1363,1367,1368,1369,1377,1378,
1381,1383,1384,1389,1391,1393,1395,1399,1400,1413,1415,1418,1420,1460,1461,
1462,1463,1464,1468,1469,1471,1473,1474,1479,1495,1499,1500,1501,1502,1503,
1511,1513,1518,1521,1523,1524,1529,1532,1536,1537,1538,1545,1546,1549,1550,
1559,1561,1562,1564,1568,1569,1570,1571,1572,1573,1589,1590,1591,1592,1593,
1594,1595,1596,1597,1601,1602,1603,1606,1607,1608,1609,1610,1611,1639,1640,
1650,1666,1667,1693,1725,1726,1738,1740,1743,1745,1746,1756,1758,1759,1776,
1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,1851,1852,1856,1857,
1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,1886,1887,1891,1894,
1899,1913,1921,1925,1936,1955,1969,1975,2000,2018,2021,2022,2032,2034,2037,
2048,2051,2052,2053,2076,2078,2088,2123,2136,2160,2166,2169,2211],[1,2,3,4,5,
6,7,10,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,
37,38,39,40,41,42,43,44,45,47,49,50,51,60,62,63,67,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,95,96,97,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,118,119,120,121,122,123,124,125,
126,128,129,130,131,132,133,134,135,138,139,140,141,146,147,149,150,151,153,
155,156,157,158,159,161,162,163,164,165,167,168,169,171,176,177,178,179,181,
182,183,184,185,187,188,189,192,194,195,198,200,201,205,206,207,209,210,211,
212,213,215,217,219,220,230,232,236,237,244,245,258,267,268,269,271,272,273,
274,275,277,278,279,280,281,282,283,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,308,310,313,319,321,322,324,
325,329,330,331,332,333,335,336,339,344,345,346,347,348,352,353,354,355,356,
361,362,363,364,368,371,374,375,376,377,378,381,382,383,384,386,387,392,393,
394,395,396,397,398,399,400,401,402,403,404,405,408,410,411,412,413,414,415,
416,417,419,421,425,429,430,433,436,439,440,442,446,447,448,449,450,451,452,
453,454,456,457,460,461,462,463,464,467,468,470,471,473,474,475,476,482,483,
484,485,486,487,488,489,490,491,492,493,494,495,500,502,505,506,507,508,509,
513,514,516,519,521,522,523,524,526,527,528,529,530,531,532,534,536,537,538,
539,543,546,548,552,553,558,560,561,562,563,564,569,574,575,576,579,580,583,
591,592,593,594,595,596,597,598,599,600,601,602,618,633,638,644,646,647,649,
658,659,682,689,690,691,692,693,694,695,696,697,698,699,700,703,705,706,707,
708,709,710,712,713,714,715,716,717,718,719,720,721,722,723,734,736,737,738,
740,744,748,749,750,751,752,753,754,759,760,761,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,782,786,788,791,793,798,799,800,801,802,
803,804,805,806,807,808,809,810,813,815,820,821,822,824,827,830,832,836,837,
839,840,841,844,845,846,847,848,850,852,853,854,858,860,864,866,868,869,870,
871,872,874,875,876,877,878,879,883,885,887,890,891,894,895,896,897,898,901,
902,905,912,913,914,915,923,924,925,926,927,930,939,944,945,946,948,949,950,
954,959,962,963,964,965,966,967,968,969,970,971,972,973,974,978,979,980,981,
982,984,985,986,987,988,989,990,991,992,993,1008,1011,1012,1013,1014,1021,
1026,1029,1039,1042,1045,1046,1050,1051,1058,1062,1065,1067,1072,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1094,1100,1101,1102,1103,1104,1105,1106,1110,1111,1113,1115,1116,1117,
1118,1119,1120,1121,1122,1123,1134,1135,1136,1137,1138,1139,1140,1141,1142,
1143,1144,1145,1146,1147,1148,1149,1150,1151,1162,1163,1168,1169,1173,1195,
1199,1234,1236,1257,1260,1261,1264,1266,1269,1272,1275,1278,1283,1284,1285,
1286,1287,1288,1291,1292,1293,1294,1297,1299,1300,1303,1305,1307,1308,1309,
1310,1317,1319,1320,1321,1325,1326,1327,1328,1329,1332,1333,1334,1338,1348,
1350,1351,1374,1375,1379,1380,1381,1382,1385,1386,1387,1388,1391,1395,1397,
1398,1399,1400,1401,1402,1404,1409,1411,1412,1424,1431,1437,1440,1450,1451,
1452,1456,1473,1476,1477,1478,1479,1480,1484,1489,1493,1504,1505,1506,1507,
1508,1509,1510,1511,1512,1515,1516,1517,1518,1523,1524,1526,1527,1528,1529,
1530,1531,1532,1536,1537,1538,1539,1540,1541,1542,1543,1544,1547,1548,1549,
1550,1551,1552,1553,1554,1555,1556,1557,1558,1561,1564,1574,1575,1576,1577,
1578,1579,1589,1590,1591,1592,1593,1594,1595,1598,1599,1601,1604,1605,1606,
1607,1608,1609,1612,1613,1636,1643,1645,1651,1652,1668,1669,1670,1671,1672,
1688,1722,1727,1728,1729,1730,1736,1747,1748,1749,1756,1757,1758,1763,1764,
1771,1780,1781,1792,1793,1797,1803,1818,1827,1836,1841,1849,1851,1852,1853,
1854,1855,1857,1858,1861,1862,1864,1865,1867,1868,1876,1877,1880,1881,1884,
1885,1892,1893,1899,1914,1922,1927,1928,1940,1952,1968,1977,2001,2017,2020,
2023,2028,2035,2037,2049,2050,2054,2055,2074,2079,2080,2089,2124,2137,2161,
2167,2175,2212],[1,2,3,4,5,6,7,8,11,15,16,19,20,22,24,25,26,28,29,31,32,33,35,
36,38,40,41,43,44,45,46,47,48,49,50,51,52,54,57,65,67,69,70,71,72,73,74,76,80,
82,84,85,89,90,93,100,101,103,104,107,108,111,112,114,116,119,121,124,125,126,
128,129,130,131,132,133,134,135,138,139,140,144,150,153,156,157,158,162,163,
164,167,169,173,176,177,178,180,181,182,183,184,185,188,189,192,193,194,195,
196,198,199,200,201,204,205,208,209,212,213,214,217,220,226,228,248,260,263,
265,267,268,277,278,279,281,283,286,290,293,295,298,300,301,302,303,305,306,
308,309,313,315,318,320,321,322,324,329,331,333,334,339,350,351,354,355,356,
359,360,361,369,371,372,374,376,378,379,381,384,385,386,387,391,393,395,397,
399,401,403,404,405,406,410,413,414,416,417,418,419,422,425,426,431,434,442,
444,445,446,447,448,449,450,452,453,454,456,457,460,461,462,463,464,467,471,
473,474,480,482,484,485,486,487,488,489,490,494,500,502,505,508,522,523,527,
528,529,531,534,538,539,548,552,555,560,562,569,574,575,576,579,580,596,597,
598,615,620,625,629,642,653,656,672,688,689,691,695,696,699,705,707,709,710,
712,714,716,718,719,722,723,725,736,738,741,742,744,746,749,752,754,756,766,
769,772,775,777,780,783,798,803,805,807,810,811,813,814,815,816,818,835,841,
844,848,849,850,852,856,860,862,865,867,868,870,872,873,876,880,882,883,887,
889,890,901,902,905,922,925,929,944,945,946,963,966,973,978,980,993,1003,1005,
1008,1009,1010,1011,1014,1016,1018,1021,1022,1023,1032,1033,1034,1037,1045,
1048,1049,1051,1056,1074,1081,1085,1086,1088,1089,1090,1100,1101,1102,1103,
1108,1112,1117,1119,1121,1123,1125,1126,1139,1141,1150,1161,1165,1204,1206,
1225,1230,1232,1256,1262,1264,1268,1269,1270,1271,1274,1278,1284,1286,1289,
1299,1301,1307,1311,1312,1314,1324,1328,1331,1334,1343,1345,1347,1350,1352,
1354,1357,1359,1360,1370,1372,1374,1375,1376,1378,1381,1385,1387,1397,1427,
1430,1434,1470,1478,1483,1484,1487,1490,1494,1498,1517,1527,1530,1536,1537,
1538,1555,1558,1568,1569,1571,1572,1577,1578,1583,1584,1604,1605,1631,1632,
1639,1640,1650,1666,1667,1684,1724,1725,1726,1763,1765,1766,1777,1778,1781,
1782,1790,1802,1803,1805,1811,1814,1815,1831,1848,1849,1859,1860,1864,1865,
1874,1913,1937,1943,1955,1971,1975,2002,2005,2019,2021,2023,2025,2038,2076,
2077,2078,2094,2141,2164,2166,2168,2213],[1,2,3,5,6,10,11,12,13,14,15,17,19,
20,21,22,23,25,26,27,29,30,31,32,35,38,39,40,44,45,46,47,49,50,51,59,60,62,67,
68,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,
146,149,150,151,156,158,164,169,171,176,177,178,181,182,185,187,189,194,195,
197,198,200,203,204,205,207,209,212,213,216,220,230,232,236,237,256,258,261,
266,269,271,272,273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,
292,293,295,297,298,299,302,303,305,308,310,313,314,316,318,319,321,324,329,
331,333,337,347,348,354,355,357,358,364,369,371,375,376,378,379,380,382,384,
386,387,392,393,394,397,400,401,402,404,405,408,410,412,413,417,419,421,422,
423,424,425,430,433,436,440,442,444,445,447,450,453,456,460,463,467,470,474,
475,484,490,494,495,497,499,500,501,504,505,508,514,516,519,523,527,531,534,
539,543,546,553,558,562,573,587,596,597,598,616,617,618,633,638,644,647,658,
673,689,691,692,693,694,699,700,703,705,707,709,712,714,718,719,727,728,734,
738,742,743,744,746,751,754,761,762,764,767,771,774,776,778,782,786,788,789,
790,791,793,799,801,811,816,820,824,827,830,832,837,844,846,848,850,853,855,
856,857,858,860,861,864,866,868,872,875,876,877,880,885,887,889,890,899,909,
921,925,928,940,950,952,954,974,976,994,1004,1005,1010,1012,1014,1016,1017,
1024,1028,1029,1037,1041,1042,1046,1049,1052,1054,1059,1062,1065,1067,1072,
1100,1101,1102,1103,1107,1111,1113,1117,1121,1124,1132,1141,1150,1162,1163,
1168,1169,1197,1221,1224,1234,1236,1257,1262,1263,1264,1266,1268,1269,1270,
1272,1276,1287,1291,1293,1295,1296,1297,1303,1305,1308,1312,1323,1328,1330,
1332,1333,1335,1341,1345,1348,1357,1365,1366,1368,1372,1374,1377,1379,1381,
1383,1389,1395,1429,1439,1442,1444,1474,1483,1484,1488,1489,1492,1497,1513,
1521,1524,1536,1537,1538,1559,1562,1570,1573,1574,1575,1576,1579,1580,1602,
1603,1634,1635,1636,1643,1645,1651,1668,1671,1685,1721,1722,1727,1759,1767,
1769,1777,1780,1782,1784,1797,1799,1803,1806,1811,1817,1819,1829,1837,1847,
1861,1862,1863,1866,1875,1914,1938,1941,1952,1963,1977,2003,2004,2012,2020,
2022,2027,2038,2073,2074,2079,2096,2142,2165,2167,2171,2214],[1,2,3,5,6,7,9,
11,15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,52,58,
64,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,107,108,
110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,155,156,157,158,
159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,181,183,185,187,
193,196,200,203,205,206,207,208,209,210,211,212,215,216,219,220,227,229,233,
238,241,253,259,265,266,267,275,277,279,281,283,286,290,293,294,295,298,300,
302,304,310,315,316,319,320,321,324,329,330,331,332,333,336,337,344,345,346,
347,348,352,353,362,363,364,365,367,369,371,374,377,378,383,385,388,391,393,
396,398,399,411,413,415,416,417,418,419,420,421,426,428,431,433,434,435,436,
444,445,447,448,450,451,453,456,460,463,467,470,474,475,479,484,486,490,491,
492,494,495,497,500,501,505,506,507,508,509,519,521,522,523,524,525,526,527,
528,529,530,531,534,539,543,546,560,561,562,564,573,583,587,591,592,593,594,
595,596,597,598,599,600,601,602,628,630,632,636,643,650,651,652,655,661,669,
670,679,688,689,691,695,698,699,700,703,705,706,707,709,712,714,718,719,727,
736,737,738,741,742,744,746,750,753,754,758,759,762,763,788,791,793,797,798,
802,804,807,808,810,811,813,814,815,816,817,818,832,835,836,837,839,840,855,
858,862,865,866,867,868,870,872,874,879,880,882,883,889,890,892,893,898,899,
909,912,913,914,915,921,926,930,939,940,948,949,950,952,954,956,961,962,967,
970,971,974,975,976,977,984,985,986,987,989,994,1015,1020,1023,1024,1025,1030,
1033,1034,1038,1052,1053,1054,1055,1056,1057,1058,1059,1062,1065,1067,1070,
1072,1073,1075,1076,1078,1079,1080,1084,1087,1100,1101,1102,1103,1105,1106,
1107,1110,1111,1113,1116,1120,1132,1134,1137,1141,1142,1143,1144,1145,1146,
1147,1148,1149,1150,1151,1164,1170,1177,1180,1181,1186,1203,1208,1220,1229,
1231,1233,1238,1239,1240,1241,1243,1256,1258,1259,1270,1271,1274,1275,1276,
1283,1295,1297,1299,1301,1307,1310,1311,1312,1314,1316,1318,1322,1323,1325,
1326,1352,1353,1354,1358,1360,1363,1367,1368,1369,1377,1378,1381,1383,1384,
1389,1391,1393,1395,1399,1400,1413,1415,1418,1420,1460,1461,1462,1463,1464,
1468,1469,1471,1473,1474,1479,1495,1499,1500,1501,1502,1503,1511,1513,1518,
1521,1523,1524,1529,1532,1536,1537,1538,1545,1546,1549,1550,1559,1561,1562,
1564,1568,1569,1570,1571,1572,1573,1589,1590,1591,1592,1593,1594,1595,1596,
1597,1601,1602,1603,1606,1607,1608,1609,1610,1611,1647,1649,1654,1655,1694,
1695,1698,1701,1709,1725,1726,1738,1740,1743,1745,1746,1756,1758,1759,1776,
1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,1851,1852,1856,1857,
1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,1886,1887,1891,1894,
1899,1916,1923,1924,1932,1948,1949,1950,1954,1957,1958,1959,1980,2000,2018,
2021,2022,2032,2034,2037,2048,2051,2052,2053,2101,2117,2119,2120,2121,2136,
2157,2215],[1,2,3,4,5,6,7,9,11,15,16,17,18,19,20,21,22,24,25,26,28,29,31,32,
33,34,35,36,38,40,41,43,44,45,47,49,50,64,66,67,68,69,70,71,72,73,74,76,80,82,
84,85,87,88,89,90,91,93,94,98,99,100,101,103,104,107,108,111,112,114,116,117,
119,121,124,125,126,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,144,147,150,151,153,156,157,158,162,163,164,167,169,173,176,177,178,181,
182,183,184,185,186,187,188,189,190,191,192,195,197,200,201,202,203,205,207,
209,212,213,215,216,217,218,227,229,233,238,240,241,262,265,266,267,268,270,
275,276,277,278,279,281,283,284,286,290,293,295,298,300,301,302,303,305,306,
307,308,310,311,312,314,316,317,319,321,322,323,324,326,327,328,329,331,333,
336,337,338,339,340,341,342,343,345,347,348,354,355,356,357,358,361,364,368,
369,371,374,376,378,381,386,387,393,395,397,399,401,403,404,410,413,414,416,
417,419,421,424,429,433,436,439,444,445,446,447,448,449,450,452,453,454,455,
456,457,458,459,460,461,462,463,464,465,466,467,469,470,471,472,473,474,475,
480,482,484,485,486,487,488,489,490,494,495,496,497,498,500,501,502,503,505,
508,510,511,512,513,518,519,522,523,527,528,529,531,534,538,539,541,542,543,
544,545,546,548,549,550,551,552,555,556,560,562,566,567,568,569,570,571,572,
573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,593,
643,650,651,652,654,655,657,660,661,669,670,684,688,689,691,695,696,699,700,
701,702,703,705,707,709,710,711,712,714,716,718,719,722,723,724,725,727,729,
730,731,732,733,736,738,741,742,744,746,749,752,754,756,762,766,769,772,775,
777,780,783,788,791,793,796,798,803,805,807,810,811,813,814,815,816,818,821,
822,826,832,835,836,837,841,842,844,848,850,852,855,858,861,866,868,870,872,
876,880,882,883,884,889,890,892,893,898,899,900,901,902,903,904,905,906,907,
908,909,910,911,912,916,917,918,919,920,921,925,928,930,931,932,933,934,935,
936,937,938,939,940,941,942,943,944,945,946,947,950,952,954,958,959,963,966,
973,974,976,978,980,982,984,985,986,993,994,996,999,1000,1001,1003,1005,1008,
1012,1014,1016,1018,1021,1026,1029,1031,1039,1042,1046,1047,1058,1059,1062,
1065,1067,1069,1072,1074,1081,1085,1086,1088,1089,1090,1092,1094,1099,1107,
1110,1111,1113,1117,1119,1121,1123,1124,1128,1130,1132,1137,1139,1164,1170,
1177,1179,1180,1181,1182,1183,1226,1227,1228,1240,1241,1242,1244,1256,1258,
1259,1268,1269,1270,1271,1275,1276,1277,1278,1279,1280,1281,1282,1284,1286,
1289,1295,1297,1299,1301,1302,1307,1311,1312,1314,1316,1318,1322,1323,1325,
1328,1330,1332,1333,1336,1338,1341,1344,1346,1348,1361,1364,1365,1370,1372,
1374,1375,1378,1381,1383,1385,1387,1389,1391,1392,1395,1397,1402,1404,1407,
1409,1411,1412,1417,1421,1422,1423,1424,1427,1430,1434,1437,1440,1443,1446,
1449,1450,1453,1459,1466,1470,1473,1474,1478,1481,1483,1484,1488,1489,1501,
1502,1503,1513,1517,1518,1519,1521,1523,1524,1527,1530,1533,1545,1546,1555,
1558,1559,1561,1562,1564,1565,1580,1585,1586,1649,1654,1655,1673,1678,1679,
1681,1710,1724,1725,1726,1729,1730,1731,1735,1736,1742,1744,1745,1746,1750,
1751,1758,1759,1761,1763,1765,1766,1772,1777,1780,1792,1793,1797,1798,1799,
1804,1806,1808,1811,1819,1822,1825,1830,1831,1836,1840,1848,1849,1856,1875,
1888,1897,1916,1923,1924,1926,1942,1949,1950,1951,1956,1960,1961,1980,2000,
2006,2014,2019,2027,2028,2029,2043,2047,2092,2114,2118,2127,2131,2157,2216],[
1,2,3,4,5,6,10,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,
38,39,40,44,45,47,48,50,52,61,62,67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,
87,89,90,92,93,94,95,96,97,99,100,101,102,104,108,111,114,115,116,118,119,120,
121,122,123,125,130,131,133,134,136,137,138,139,142,144,145,147,148,150,152,
154,156,158,160,164,169,172,173,176,178,180,181,182,185,186,189,190,191,193,
195,196,197,200,202,205,208,212,218,220,230,231,235,236,243,246,258,265,268,
269,271,272,273,274,276,277,279,280,281,283,285,286,287,288,289,290,291,292,
293,295,297,298,299,302,305,308,311,314,315,320,321,324,327,329,333,341,357,
358,368,369,371,373,374,375,376,378,382,385,386,387,390,391,394,397,400,402,
404,407,409,410,412,417,418,419,424,426,429,431,432,434,437,439,441,443,447,
450,452,453,456,458,460,463,466,467,469,471,474,477,480,484,485,490,494,498,
500,505,508,510,512,513,515,517,518,520,523,527,531,533,534,539,541,542,545,
547,548,551,554,555,556,557,562,568,572,581,582,589,590,596,597,598,619,635,
640,641,644,645,647,648,658,662,681,688,689,691,692,693,694,699,702,704,705,
707,709,712,714,718,719,722,725,732,733,735,738,741,742,744,745,746,749,751,
754,756,761,764,766,767,771,774,776,778,780,781,783,787,792,796,799,801,811,
813,814,815,816,819,821,822,825,826,828,829,831,833,842,844,846,848,850,853,
859,861,862,863,865,867,872,875,877,880,882,883,884,886,888,890,904,908,917,
918,928,931,934,958,959,982,996,998,1007,1012,1019,1023,1026,1027,1029,1031,
1033,1034,1039,1042,1044,1046,1047,1056,1069,1092,1094,1099,1100,1101,1102,
1103,1124,1128,1130,1141,1150,1162,1167,1172,1174,1175,1176,1190,1192,1193,
1196,1234,1235,1236,1237,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,
1287,1289,1291,1293,1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,
1332,1333,1338,1342,1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,
1425,1435,1446,1447,1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,
1536,1537,1538,1565,1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1642,
1644,1651,1653,1675,1689,1690,1691,1692,1723,1724,1726,1727,1761,1772,1775,
1778,1780,1803,1810,1813,1819,1824,1825,1833,1836,1840,1844,1859,1860,1861,
1862,1898,1918,1919,1933,1935,1952,1953,1978,1979,1984,1999,2014,2015,2020,
2021,2024,2039,2098,2099,2126,2140,2162,2217],[1,2,3,5,6,7,9,11,15,17,19,20,
21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,52,58,64,67,68,69,70,
71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,107,108,110,111,114,116,
119,121,124,125,128,130,133,138,141,150,151,155,156,157,158,159,161,162,163,
164,165,166,168,169,174,176,177,178,179,180,181,183,185,187,193,196,200,203,
205,206,207,208,209,210,211,212,215,216,219,220,233,234,238,241,253,259,265,
266,267,275,277,279,281,283,286,290,293,294,295,298,300,302,304,310,315,316,
319,320,321,324,329,330,331,332,333,336,337,344,345,346,347,348,352,353,362,
363,364,365,367,369,371,374,377,378,383,385,388,391,393,396,398,399,411,413,
415,416,417,418,419,420,421,426,428,431,433,434,435,436,444,445,447,448,450,
451,453,456,460,463,467,470,474,475,479,484,486,490,491,492,494,495,497,500,
501,505,506,507,508,509,519,521,522,523,524,525,526,527,528,529,530,531,534,
539,543,546,560,561,562,564,573,583,587,591,592,593,594,595,596,597,598,599,
600,601,602,632,636,637,650,655,661,679,688,689,691,695,698,699,700,703,705,
706,707,709,712,714,718,719,727,736,737,738,741,742,744,746,750,753,754,758,
759,762,763,788,791,793,797,798,802,804,807,808,810,811,813,814,815,816,817,
818,832,835,836,837,839,840,855,858,862,865,866,867,868,870,872,874,879,880,
882,883,889,890,892,893,898,899,909,912,913,914,915,921,926,930,939,940,948,
949,950,952,954,956,961,962,967,970,971,974,975,976,977,984,985,986,987,989,
994,1015,1020,1023,1024,1025,1030,1033,1034,1038,1052,1053,1054,1055,1056,
1057,1058,1059,1062,1065,1067,1070,1072,1073,1075,1076,1078,1079,1080,1084,
1087,1100,1101,1102,1103,1105,1106,1107,1110,1111,1113,1116,1120,1132,1134,
1137,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1164,1166,1177,
1181,1185,1203,1220,1231,1238,1256,1258,1259,1270,1271,1274,1275,1276,1283,
1295,1297,1299,1301,1307,1310,1311,1312,1314,1316,1318,1322,1323,1325,1326,
1352,1353,1354,1358,1360,1363,1367,1368,1369,1377,1378,1381,1383,1384,1389,
1391,1393,1395,1399,1400,1413,1415,1418,1420,1460,1461,1462,1463,1464,1468,
1469,1471,1473,1474,1479,1495,1499,1500,1501,1502,1503,1511,1513,1518,1521,
1523,1524,1529,1532,1536,1537,1538,1545,1546,1549,1550,1559,1561,1562,1564,
1568,1569,1570,1571,1572,1573,1589,1590,1591,1592,1593,1594,1595,1596,1597,
1601,1602,1603,1606,1607,1608,1609,1610,1611,1647,1648,1649,1674,1676,1698,
1701,1707,1708,1725,1726,1738,1740,1743,1745,1746,1756,1758,1759,1776,1778,
1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,1851,1852,1856,1857,1858,
1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,1886,1887,1891,1894,1899,
1915,1916,1920,1932,1954,1974,1976,1981,1982,1983,2000,2018,2021,2022,2032,
2034,2037,2048,2051,2052,2053,2084,2097,2101,2122,2125,2136,2163,2176,2177,
2218],[1,2,5,8,9,10,11,19,22,25,35,38,62,64,69,71,76,82,101,104,108,111,221,
222,226,228,230,233,236,238,241,243,265,277,279,281,293,295,644,647,650,655,
658,661,686,688,689,1153,1154,1161,1162,1164,1165,1175,1176,1177,1181,1256,
1649,1651,1900,1901,1913,1916,1918,2146,2147,2219],[1,2,3,5,6,9,19,20,21,22,
25,26,29,31,35,38,40,44,47,53,55,56,64,67,68,69,82,84,85,100,101,104,108,111,
116,125,138,141,150,151,156,158,164,169,176,178,200,203,205,207,212,215,223,
224,225,233,234,238,249,265,266,283,293,295,316,319,329,333,336,345,347,348,
364,369,371,374,417,419,433,436,495,497,500,501,505,508,519,523,527,531,534,
539,562,583,593,611,622,626,631,650,655,661,688,705,727,738,741,762,811,813,
814,815,816,832,836,837,866,882,883,892,893,930,939,974,976,984,985,986,1058,
1059,1062,1072,1107,1110,1137,1164,1166,1185,1212,1223,1253,1258,1314,1322,
1383,1503,1518,1521,1545,1564,1629,1633,1638,1649,1674,1676,1707,1745,1908,
1909,1910,1915,1930,2068,2084,2183,2220],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,
31,32,35,38,40,44,47,53,65,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,
111,114,116,119,121,125,130,133,138,150,156,158,164,169,176,178,181,185,200,
205,212,223,224,225,226,228,264,265,277,279,281,283,286,290,293,295,298,302,
321,324,329,333,369,371,374,378,417,419,447,450,453,456,460,463,467,474,484,
490,494,500,505,508,523,527,531,534,539,562,609,610,611,642,653,656,687,688,
689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,813,814,
815,816,872,880,882,883,890,1158,1161,1165,1254,1256,1307,1311,1312,1314,1378,
1381,1629,1650,1666,1667,1717,1726,1908,1909,1910,1913,1993,2066,2067,2068,
2078,2128,2153,2184,2221],[1,5,6,7,9,19,20,21,35,36,37,47,48,49,53,56,58,66,
67,68,82,83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,223,
233,234,238,255,265,266,336,345,374,433,434,435,445,523,524,525,560,561,594,
595,596,599,601,612,622,632,636,637,660,741,762,763,818,915,986,1052,1053,
1056,1057,1103,1144,1147,1164,1166,1185,1217,1253,1258,1460,1469,1572,1573,
1607,1611,1629,1633,1647,1648,1673,1708,1720,1883,1908,1915,1972,2070,2097,
2183,2222],[1,4,6,7,8,9,10,21,23,34,37,41,46,48,53,54,56,57,58,59,61,63,65,66,
109,117,127,160,166,170,214,221,222,223,229,234,235,237,239,242,248,252,254,
255,257,260,263,264,565,603,604,605,606,607,608,612,614,617,630,634,635,637,
657,659,664,667,672,675,677,680,683,686,687,1152,1155,1156,1157,1219,1222,
1245,1248,1249,1250,1251,1253,1255,1617,1619,1623,1624,1627,1628,1711,1712,
1713,1719,1720,1904,1907,1911,1912,1990,2071,2072,2187,2223],[1,2,3,5,6,8,9,
11,15,17,19,20,21,22,25,26,29,31,32,35,38,40,44,47,64,65,67,68,69,71,72,76,80,
82,84,85,88,89,90,91,100,101,104,108,111,114,116,119,121,125,130,133,138,141,
150,151,156,158,164,169,176,178,181,185,187,200,203,205,207,212,215,216,221,
226,227,228,229,233,234,238,241,242,265,266,275,277,279,281,283,286,290,293,
295,298,302,310,316,319,321,324,329,333,336,337,345,347,348,364,369,371,374,
378,417,419,421,433,436,447,450,453,456,460,463,467,470,474,475,484,490,494,
495,497,500,501,505,508,519,523,527,531,534,539,543,546,562,573,583,587,593,
642,643,650,651,652,653,655,656,661,669,670,688,689,691,699,700,703,705,707,
709,712,714,718,719,727,738,741,742,744,746,754,762,788,791,793,811,813,814,
815,816,832,836,837,855,858,866,872,880,882,883,890,892,893,898,899,909,912,
921,930,939,940,950,952,954,974,976,984,985,986,994,1058,1059,1062,1065,1067,
1072,1107,1110,1111,1113,1132,1137,1152,1153,1161,1164,1165,1166,1170,1171,
1177,1180,1181,1185,1240,1241,1256,1258,1259,1275,1276,1295,1297,1307,1311,
1312,1314,1316,1318,1322,1323,1325,1378,1381,1383,1389,1391,1395,1473,1474,
1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,1649,
1650,1654,1655,1666,1667,1674,1676,1707,1726,1745,1746,1758,1759,1856,1900,
1902,1913,1915,1916,1920,1921,1923,1924,1925,1949,1950,1980,1983,2000,2078,
2084,2147,2149,2157,2160,2163,2224],[1,2,3,5,6,8,10,11,12,13,14,15,19,20,22,
23,25,26,27,29,30,31,32,35,38,39,40,44,47,62,65,67,69,71,72,75,76,77,78,80,81,
82,84,85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,
121,122,123,125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,
222,226,228,230,231,232,235,236,237,239,243,265,269,271,272,273,274,277,279,
280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,321,324,
329,333,369,371,374,375,378,382,394,400,402,412,417,419,447,450,453,456,460,
463,467,474,484,490,494,500,505,508,523,527,531,534,539,562,642,644,645,647,
648,653,656,658,662,688,689,691,692,693,694,699,705,707,709,712,714,718,719,
738,741,742,744,746,751,754,761,764,767,771,774,776,778,799,801,811,813,814,
815,816,846,853,872,875,877,880,882,883,890,998,1154,1155,1161,1162,1163,1165,
1167,1168,1169,1172,1174,1175,1176,1178,1184,1256,1257,1287,1291,1293,1307,
1308,1311,1312,1314,1315,1378,1379,1381,1650,1651,1653,1666,1667,1668,1671,
1675,1726,1727,1810,1901,1903,1913,1914,1917,1918,1919,1978,1999,2078,2079,
2146,2148,2158,2159,2162,2225],[1,2,3,5,6,7,8,9,11,15,19,20,22,24,25,26,29,31,
32,35,36,37,38,40,42,43,44,47,49,55,56,57,58,64,65,66,67,69,70,71,72,76,80,82,
83,84,85,89,90,100,101,104,105,107,108,110,111,114,116,119,121,124,125,128,
130,133,138,150,155,156,157,158,159,161,162,163,164,165,168,169,176,177,178,
179,181,183,185,200,205,206,209,210,211,212,219,221,226,228,233,238,240,241,
249,250,251,253,254,255,259,262,265,267,277,279,281,283,286,290,293,294,295,
298,300,302,304,321,324,329,330,331,332,333,344,346,352,353,362,363,369,371,
374,377,378,383,393,396,398,399,411,413,415,416,417,419,444,445,447,448,450,
451,453,456,460,463,467,474,484,486,490,491,492,494,500,505,506,507,508,509,
521,522,523,524,526,527,528,529,530,531,534,539,560,561,562,564,591,592,594,
595,603,605,606,615,622,626,629,631,632,636,642,650,653,655,656,660,661,663,
668,671,674,678,679,684,688,689,691,695,698,699,705,706,707,709,712,714,718,
719,736,737,738,741,742,744,746,750,753,754,759,798,802,804,807,808,810,811,
813,814,815,816,818,835,839,840,868,870,872,874,879,880,882,883,889,890,913,
914,915,926,948,949,962,967,970,971,987,989,1024,1052,1053,1054,1055,1075,
1076,1078,1079,1080,1084,1087,1105,1106,1116,1120,1134,1153,1156,1161,1164,
1165,1177,1181,1182,1203,1209,1210,1211,1212,1213,1217,1218,1220,1223,1228,
1231,1238,1246,1256,1270,1271,1283,1299,1301,1307,1310,1311,1312,1314,1326,
1368,1369,1377,1378,1381,1399,1400,1460,1461,1462,1463,1479,1500,1511,1529,
1532,1549,1550,1618,1622,1626,1633,1638,1639,1640,1647,1649,1650,1660,1663,
1666,1667,1673,1678,1682,1687,1698,1701,1702,1725,1726,1756,1776,1784,1820,
1821,1850,1900,1906,1913,1916,1926,1930,1931,1932,1936,1942,1954,1969,1972,
1973,1987,2018,2058,2059,2062,2076,2078,2083,2087,2090,2092,2095,2101,2105,
2147,2150,2169,2179,2190,2193,2196,2226],[1,2,3,4,5,6,8,10,11,15,16,18,19,20,
22,25,26,28,29,31,32,34,35,38,40,44,45,47,50,54,59,60,61,62,63,65,67,69,71,72,
73,76,80,82,84,85,87,89,90,93,94,99,100,101,104,108,111,114,116,119,121,125,
130,131,133,134,136,137,138,139,142,144,147,150,156,158,164,169,173,176,178,
181,182,185,186,189,190,191,195,197,200,202,205,212,218,222,226,228,230,236,
243,244,245,246,247,252,256,257,258,261,265,268,276,277,279,281,283,286,290,
293,295,298,302,305,308,311,314,321,324,327,329,333,341,357,358,368,369,371,
374,376,378,386,387,397,404,410,417,419,424,429,439,447,450,452,453,456,458,
460,463,466,467,469,471,474,480,484,485,490,494,498,500,505,508,510,512,513,
518,523,527,531,534,539,541,542,545,548,551,555,556,562,568,572,581,582,589,
590,604,607,608,616,618,619,620,625,633,640,642,644,646,647,653,656,658,665,
666,673,676,681,682,685,688,689,691,699,702,705,707,709,712,714,718,719,722,
725,732,733,738,741,742,744,746,749,754,756,766,780,783,796,811,813,814,815,
816,821,822,826,842,844,848,850,861,872,880,882,883,884,890,904,908,917,918,
928,931,934,958,959,982,996,1012,1026,1029,1031,1039,1042,1046,1047,1069,1092,
1094,1099,1124,1128,1130,1154,1157,1161,1162,1165,1173,1175,1176,1189,1190,
1191,1192,1195,1197,1198,1199,1201,1221,1224,1234,1236,1247,1256,1268,1269,
1280,1284,1289,1302,1307,1311,1312,1314,1330,1332,1333,1338,1346,1348,1378,
1381,1392,1402,1446,1453,1459,1466,1481,1488,1489,1519,1533,1565,1620,1621,
1625,1631,1632,1634,1636,1642,1650,1651,1662,1664,1666,1667,1669,1677,1685,
1688,1690,1691,1703,1724,1726,1761,1772,1780,1819,1825,1836,1840,1901,1905,
1913,1918,1927,1929,1933,1938,1940,1941,1952,1962,1965,1970,1988,2014,2056,
2057,2060,2077,2078,2082,2086,2089,2093,2096,2098,2103,2146,2151,2170,2180,
2188,2192,2194,2227],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,
54,57,59,61,62,63,65,67,68,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,89,
90,92,93,94,95,96,97,99,100,101,102,103,105,106,109,110,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,131,132,134,135,136,137,
138,139,140,141,142,143,144,145,147,148,152,153,154,155,157,159,160,163,165,
166,167,168,170,172,173,177,179,180,182,183,184,186,188,189,190,191,192,193,
195,196,197,200,201,202,203,204,206,208,211,213,214,217,218,222,226,228,230,
231,232,235,236,237,239,242,243,246,248,252,254,257,258,260,263,266,269,271,
272,273,274,276,278,279,280,282,283,284,285,286,287,288,289,290,291,292,294,
296,297,298,299,303,304,311,312,314,315,316,317,318,320,322,323,325,330,334,
335,338,349,350,351,365,370,372,373,376,377,378,379,380,381,383,385,386,390,
391,396,399,401,403,407,409,410,411,413,418,420,421,422,423,424,426,431,432,
434,435,437,438,439,441,443,446,448,449,451,452,454,455,457,458,459,461,462,
464,465,466,468,469,471,472,473,476,477,482,483,489,491,492,493,495,496,497,
498,499,500,501,502,503,504,506,507,509,513,515,517,518,520,524,525,526,528,
532,533,535,536,537,538,540,541,542,544,545,547,554,555,556,557,563,564,565,
569,570,571,572,574,575,584,585,586,588,589,590,604,607,608,615,616,617,619,
620,625,629,634,635,639,640,641,642,645,646,647,648,649,653,656,659,662,664,
667,672,675,677,680,681,683,690,691,692,693,694,697,698,701,702,704,706,708,
710,711,713,715,716,717,720,721,727,728,729,733,735,739,740,742,743,745,747,
752,753,755,759,760,763,765,766,768,770,772,773,775,777,779,780,781,787,788,
789,790,792,794,798,800,802,812,817,819,821,825,826,828,829,831,833,834,838,
847,852,854,855,856,857,859,861,862,863,865,867,873,874,876,878,879,881,884,
886,888,891,900,901,907,908,910,911,922,941,942,943,951,953,955,975,977,995,
1002,1003,1008,1009,1015,1016,1029,1030,1036,1038,1039,1040,1047,1048,1060,
1061,1063,1064,1066,1068,1073,1108,1109,1112,1114,1133,1154,1155,1157,1162,
1163,1165,1167,1168,1169,1171,1172,1174,1175,1178,1184,1189,1192,1193,1196,
1198,1201,1204,1206,1209,1218,1222,1225,1230,1232,1235,1236,1237,1245,1257,
1262,1263,1265,1267,1273,1274,1277,1286,1288,1292,1294,1295,1296,1298,1302,
1304,1306,1309,1310,1313,1324,1336,1337,1343,1344,1356,1358,1365,1367,1380,
1382,1384,1390,1396,1428,1430,1438,1440,1441,1443,1445,1446,1475,1490,1491,
1498,1499,1514,1522,1525,1560,1563,1617,1621,1624,1628,1631,1632,1634,1635,
1637,1639,1641,1642,1644,1646,1650,1652,1653,1657,1658,1667,1669,1670,1672,
1680,1684,1689,1691,1692,1693,1697,1700,1704,1721,1723,1728,1760,1768,1770,
1783,1815,1816,1828,1830,1838,1839,1845,1846,1901,1903,1904,1914,1917,1919,
1925,1929,1935,1936,1937,1939,1943,1953,1955,1962,1964,1970,1971,1986,2013,
2056,2057,2060,2061,2073,2075,2080,2081,2085,2088,2091,2094,2099,2100,2102,
2148,2151,2172,2178,2189,2191,2195,2228],[1,5,6,8,9,19,20,21,35,47,53,56,64,
65,67,68,82,164,178,215,221,223,228,229,233,234,238,241,242,264,265,266,336,
345,374,433,523,606,622,642,643,655,670,687,741,762,986,1152,1153,1161,1164,
1166,1170,1171,1177,1185,1240,1253,1258,1629,1633,1666,1674,1900,1902,1908,
1912,1915,1920,1921,1923,1993,2059,2128,2149,2183,2229],[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,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,57,65,67,68,69,70,71,72,73,74,
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,
214,215,216,217,218,219,220,226,228,239,242,248,252,254,260,263,265,266,267,
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,
591,592,593,594,595,596,597,598,599,600,601,602,615,620,625,629,642,653,656,
664,667,672,675,677,680,683,688,689,690,691,692,693,694,695,696,697,698,699,
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,
1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1161,
1165,1171,1178,1184,1189,1201,1204,1206,1209,1218,1225,1230,1232,1245,1256,
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,
1631,1632,1639,1640,1650,1657,1658,1666,1667,1680,1684,1693,1697,1700,1704,
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,
1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1913,
1917,1921,1925,1929,1936,1937,1943,1955,1969,1970,1971,1975,1986,1999,2000,
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,
2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2076,2077,2078,2081,2085,
2088,2091,2094,2100,2102,2123,2131,2132,2133,2134,2135,2136,2137,2138,2139,
2140,2141,2142,2143,2144,2145,2159,2160,2164,2166,2168,2169,2170,2178,2186,
2201,2202,2205,2208,2210,2211,2213,2230],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,59,60,61,62,63,67,68,69,70,71,72,73,74,75,76,77,
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,
217,218,219,220,230,232,236,237,243,244,245,246,247,256,257,258,261,265,266,
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,
590,591,592,593,594,595,596,597,598,599,600,601,602,616,617,618,619,633,634,
638,639,640,644,646,647,649,658,659,665,666,673,676,681,682,685,688,689,690,
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,
1146,1147,1148,1149,1150,1151,1162,1163,1168,1169,1173,1175,1176,1190,1191,
1192,1194,1195,1197,1198,1199,1221,1222,1224,1234,1236,1247,1256,1257,1258,
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,
1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1634,1635,
1636,1637,1641,1642,1643,1645,1646,1651,1652,1662,1664,1668,1669,1670,1671,
1672,1677,1685,1688,1690,1691,1703,1721,1722,1723,1724,1725,1726,1727,1728,
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,
1894,1895,1896,1897,1898,1899,1914,1918,1922,1927,1928,1933,1934,1938,1939,
1940,1941,1952,1962,1963,1964,1965,1966,1967,1968,1977,1988,1999,2000,2001,
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,
2047,2048,2049,2050,2051,2052,2053,2054,2055,2073,2074,2075,2079,2080,2082,
2086,2089,2093,2096,2098,2103,2104,2124,2131,2132,2133,2134,2135,2136,2137,
2138,2139,2140,2141,2142,2143,2144,2145,2158,2161,2165,2167,2171,2172,2173,
2174,2175,2180,2186,2200,2203,2206,2207,2209,2212,2214,2231],[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,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,58,64,66,67,68,69,70,71,
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,
213,214,215,216,217,218,219,220,227,229,233,238,240,241,249,250,251,253,255,
259,262,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
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,
586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,614,621,
622,623,624,626,627,628,630,631,632,636,643,650,651,652,654,655,657,660,661,
663,668,669,670,671,674,678,679,684,688,689,690,691,692,693,694,695,696,697,
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,
1164,1170,1177,1179,1180,1181,1182,1183,1186,1187,1188,1200,1202,1203,1205,
1207,1208,1210,1211,1212,1213,1214,1215,1216,1217,1219,1220,1223,1226,1227,
1228,1229,1231,1233,1238,1239,1240,1241,1242,1243,1244,1246,1256,1257,1258,
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,
1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1633,1638,
1647,1649,1654,1655,1656,1659,1660,1661,1663,1665,1673,1678,1679,1681,1682,
1683,1686,1687,1694,1695,1696,1698,1699,1701,1702,1705,1706,1709,1710,1721,
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,
1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1916,1923,
1924,1926,1930,1931,1932,1942,1944,1945,1946,1947,1948,1949,1950,1951,1954,
1956,1957,1958,1959,1960,1961,1972,1973,1980,1985,1987,1989,1999,2000,2001,
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,
2047,2048,2049,2050,2051,2052,2053,2054,2055,2083,2087,2090,2092,2095,2101,
2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,
2120,2121,2127,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,
2143,2144,2145,2157,2179,2181,2182,2186,2204,2215,2216,2232],[1,2,3,5,6,8,9,
10,11,15,19,20,22,25,26,29,31,32,35,38,40,44,47,55,56,59,60,62,64,65,67,69,71,
72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,121,125,130,133,138,
150,156,158,164,169,176,178,181,185,200,205,212,221,222,226,228,230,233,236,
238,241,243,245,249,251,256,265,277,279,281,283,286,290,293,295,298,302,321,
324,329,333,369,371,374,378,417,419,447,450,453,456,460,463,467,474,484,490,
494,500,505,508,523,527,531,534,539,562,606,608,616,618,622,626,631,633,642,
644,647,650,653,655,656,658,661,663,665,686,688,689,691,699,705,707,709,712,
714,718,719,738,741,742,744,746,754,811,813,814,815,816,872,880,882,883,890,
1153,1154,1161,1162,1164,1165,1175,1176,1177,1181,1195,1197,1199,1210,1211,
1212,1221,1223,1248,1256,1307,1311,1312,1314,1378,1381,1618,1620,1633,1634,
1636,1638,1649,1650,1651,1660,1662,1666,1667,1726,1900,1901,1913,1916,1918,
1930,1931,1938,1940,2056,2059,2078,2082,2083,2146,2147,2194,2196,2219,2233],[
1,2,4,5,8,9,10,11,16,19,22,25,28,35,38,45,50,54,61,62,63,64,69,71,73,76,82,93,
101,104,108,111,131,134,139,144,173,182,189,195,221,222,226,228,230,233,236,
238,241,243,244,246,258,261,265,268,277,279,281,293,295,305,308,376,386,387,
397,404,410,452,471,480,485,548,555,604,607,619,620,625,640,644,646,647,650,
655,658,661,681,685,686,688,689,722,725,749,756,766,780,783,844,848,850,1153,
1154,1161,1162,1164,1165,1173,1175,1176,1177,1181,1190,1192,1224,1234,1236,
1250,1256,1268,1269,1284,1289,1621,1625,1631,1632,1642,1649,1651,1669,1677,
1690,1691,1724,1900,1901,1913,1916,1918,1927,1933,1941,1952,2057,2060,2077,
2093,2098,2146,2147,2188,2192,2219,2234],[1,2,5,7,8,9,10,11,19,22,24,25,35,36,
38,43,49,57,58,62,64,66,69,70,71,76,82,101,104,107,108,111,124,128,157,162,
163,177,183,209,221,222,226,228,230,233,236,238,240,241,243,253,259,262,265,
267,277,279,281,293,295,300,331,393,399,413,416,444,445,448,486,522,528,529,
560,603,605,615,629,632,636,644,647,650,655,658,660,661,679,684,686,688,689,
695,736,798,807,810,818,835,868,870,889,1153,1154,1161,1162,1164,1165,1175,
1176,1177,1181,1182,1203,1220,1228,1231,1238,1249,1256,1270,1271,1299,1301,
1622,1626,1639,1640,1647,1649,1651,1673,1678,1698,1701,1725,1900,1901,1913,
1916,1918,1926,1932,1942,1954,2058,2062,2076,2092,2101,2146,2147,2190,2193,
2219,2235],[1,2,3,5,6,9,11,15,17,19,20,21,22,25,26,29,31,32,35,38,40,44,47,53,
55,56,64,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,101,104,108,111,114,
116,119,121,125,130,133,138,141,150,151,156,158,164,169,176,178,181,185,187,
200,203,205,207,212,215,216,223,224,225,233,234,238,241,249,251,265,266,275,
277,279,281,283,286,290,293,295,298,302,310,316,319,321,324,329,333,336,337,
345,347,348,364,369,371,374,378,417,419,421,433,436,447,450,453,456,460,463,
467,470,474,475,484,490,494,495,497,500,501,505,508,519,523,527,531,534,539,
543,546,562,573,583,587,593,609,610,611,622,626,631,650,655,661,663,688,689,
691,699,700,703,705,707,709,712,714,718,719,727,738,741,742,744,746,754,762,
788,791,793,811,813,814,815,816,832,836,837,855,858,866,872,880,882,883,890,
892,893,898,899,909,912,921,930,939,940,950,952,954,974,976,984,985,986,994,
1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1158,1164,1166,
1177,1181,1185,1210,1211,1212,1223,1253,1256,1258,1259,1275,1276,1295,1297,
1307,1311,1312,1314,1316,1318,1322,1323,1325,1378,1381,1383,1389,1391,1395,
1473,1474,1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,
1564,1629,1633,1638,1649,1660,1674,1676,1707,1726,1745,1746,1758,1759,1856,
1908,1909,1910,1915,1916,1920,1930,1931,1983,2000,2066,2067,2068,2083,2084,
2153,2163,2183,2220,2236],[1,2,3,5,6,10,11,12,13,14,15,19,20,22,23,25,26,27,
29,30,31,32,35,38,39,40,44,47,53,59,60,62,67,69,71,72,75,76,77,78,80,81,82,84,
85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,121,
122,123,125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,223,
224,225,230,231,235,236,243,245,256,265,269,271,272,273,274,277,279,280,281,
283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,321,324,329,333,
369,371,374,375,378,382,394,400,402,412,417,419,447,450,453,456,460,463,467,
474,484,490,494,500,505,508,523,527,531,534,539,562,609,610,611,616,618,633,
644,645,647,648,658,662,665,688,689,691,692,693,694,699,705,707,709,712,714,
718,719,738,741,742,744,746,751,754,761,764,767,771,774,776,778,799,801,811,
813,814,815,816,846,853,872,875,877,880,882,883,890,998,1158,1162,1167,1172,
1174,1175,1176,1195,1197,1199,1221,1251,1252,1256,1257,1287,1291,1293,1307,
1308,1311,1312,1314,1315,1378,1379,1381,1629,1634,1636,1651,1653,1662,1675,
1714,1715,1716,1726,1727,1810,1908,1909,1910,1918,1919,1938,1940,1978,1991,
1992,1999,2066,2067,2068,2082,2153,2162,2237],[1,2,3,5,6,7,9,19,20,21,22,24,
25,26,29,31,35,36,37,38,40,42,44,47,48,49,53,55,56,58,64,66,67,68,69,70,82,83,
84,85,100,101,104,105,107,108,110,111,116,125,138,141,150,151,155,156,157,158,
161,162,163,164,165,166,169,176,177,178,179,180,200,203,205,206,207,208,209,
210,212,215,219,220,223,224,225,233,234,238,240,249,250,253,255,265,266,267,
283,293,294,295,316,319,320,329,330,331,332,333,336,344,345,347,348,364,365,
369,371,374,417,418,419,420,433,434,435,436,444,445,495,497,500,501,505,506,
507,508,509,519,521,522,523,524,525,526,527,528,529,530,531,534,539,560,561,
562,583,591,592,593,594,595,596,597,598,599,600,601,602,611,612,622,626,631,
632,636,637,650,655,660,661,668,688,705,706,727,736,737,738,741,762,763,811,
813,814,815,816,817,818,832,835,836,837,866,867,882,883,889,892,893,913,914,
915,930,939,948,949,974,975,976,977,984,985,986,1052,1053,1054,1055,1056,1057,
1058,1059,1062,1072,1073,1102,1103,1107,1110,1137,1141,1142,1143,1144,1145,
1147,1149,1151,1160,1164,1166,1182,1185,1203,1212,1213,1217,1220,1223,1253,
1258,1283,1301,1314,1322,1352,1353,1368,1369,1383,1384,1420,1460,1461,1462,
1463,1469,1503,1518,1521,1537,1545,1564,1568,1572,1573,1589,1590,1592,1593,
1597,1602,1606,1607,1611,1629,1633,1638,1647,1648,1649,1663,1673,1674,1676,
1707,1708,1720,1743,1745,1821,1852,1860,1863,1870,1878,1883,1887,1894,1908,
1909,1910,1915,1926,1930,1932,1972,1973,1974,1981,2051,2068,2070,2084,2097,
2105,2155,2177,2183,2220,2222,2238],[1,2,3,5,6,9,19,20,21,22,25,26,29,31,35,
38,40,43,44,47,49,52,53,55,56,64,67,68,69,82,84,85,100,101,104,108,111,116,
125,138,141,150,151,156,158,164,169,176,177,178,183,193,196,200,203,205,207,
209,211,212,215,220,223,224,225,233,234,238,249,259,262,265,266,283,293,295,
300,304,315,316,319,329,331,333,336,345,346,347,348,352,363,364,369,371,374,
377,385,399,411,416,417,419,426,433,436,444,445,495,497,500,501,505,508,519,
523,527,531,534,539,562,583,593,596,597,598,611,613,622,626,631,650,655,661,
671,688,705,727,738,741,762,811,813,814,815,816,832,836,837,862,866,870,874,
882,883,889,892,893,926,930,939,974,976,984,985,986,1015,1030,1034,1052,1054,
1058,1059,1062,1072,1102,1103,1106,1107,1110,1120,1137,1141,1146,1148,1159,
1164,1166,1185,1212,1223,1228,1231,1238,1253,1258,1271,1314,1322,1326,1354,
1367,1368,1383,1495,1500,1503,1518,1521,1537,1545,1564,1569,1571,1573,1591,
1596,1601,1602,1610,1629,1633,1638,1649,1674,1676,1682,1707,1745,1787,1820,
1858,1859,1863,1871,1908,1909,1910,1915,1930,1942,1954,1976,1982,2053,2068,
2069,2084,2095,2154,2176,2183,2220,2239],[1,2,3,5,6,8,11,15,19,20,22,25,26,29,
31,32,35,38,40,44,47,48,52,53,65,67,69,71,72,76,80,82,84,85,89,90,100,101,104,
108,111,114,116,119,121,125,130,133,138,150,156,158,164,169,176,178,180,181,
185,193,196,200,205,208,212,220,223,224,225,226,228,260,264,265,277,279,281,
283,286,290,293,295,298,302,315,320,321,324,329,333,369,371,374,378,385,391,
417,418,419,426,431,434,447,450,453,456,460,463,467,474,484,490,494,500,505,
508,523,527,531,534,539,562,596,597,598,609,610,611,612,613,642,653,656,687,
688,689,691,699,705,707,709,712,714,718,719,738,741,742,744,746,754,811,813,
814,815,816,862,865,867,872,880,882,883,890,1023,1033,1034,1056,1100,1101,
1102,1103,1141,1150,1158,1159,1160,1161,1165,1230,1232,1254,1255,1256,1274,
1307,1311,1312,1314,1352,1354,1360,1378,1381,1536,1537,1538,1568,1569,1571,
1572,1629,1630,1650,1666,1667,1717,1726,1778,1803,1859,1860,1908,1909,1910,
1913,1955,1975,1993,1998,2021,2066,2067,2068,2069,2070,2078,2128,2153,2154,
2155,2166,2184,2185,2198,2221,2240],[1,2,3,5,6,8,9,11,12,13,14,15,17,19,20,21,
22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,55,56,64,65,67,68,69,71,72,
75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,104,108,111,
114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,146,149,150,
151,156,158,164,169,171,176,178,181,185,187,194,198,200,203,204,205,207,212,
215,216,221,226,227,228,229,233,234,238,239,241,242,249,251,263,265,266,269,
271,272,273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,293,
295,297,298,299,302,310,313,316,318,319,321,324,329,333,336,337,345,347,348,
364,369,371,374,375,378,379,380,382,384,392,394,400,402,405,408,412,417,419,
421,422,423,425,430,433,436,440,442,447,450,453,456,460,463,467,470,474,475,
484,490,494,495,497,499,500,501,504,505,508,514,516,519,523,527,531,534,539,
543,546,553,558,562,573,583,587,593,606,614,621,622,623,624,626,627,631,642,
643,650,651,652,653,655,656,661,663,669,670,683,688,689,691,692,693,694,699,
700,703,705,707,709,712,714,718,719,727,728,734,738,741,742,743,744,746,751,
754,761,762,764,767,771,774,776,778,782,786,788,789,790,791,793,799,801,811,
813,814,815,816,820,824,827,830,832,836,837,846,853,855,856,857,858,860,864,
866,872,875,877,880,882,883,885,887,890,892,893,898,899,909,912,921,930,939,
940,950,952,954,974,976,984,985,986,994,998,1004,1010,1011,1013,1017,1028,
1037,1041,1045,1049,1050,1051,1058,1059,1062,1065,1067,1072,1107,1110,1111,
1113,1132,1137,1152,1153,1161,1164,1165,1166,1170,1171,1177,1178,1180,1181,
1184,1185,1188,1200,1202,1205,1210,1211,1212,1214,1216,1223,1225,1240,1241,
1256,1257,1258,1259,1262,1263,1264,1266,1272,1275,1276,1287,1291,1293,1295,
1296,1297,1303,1305,1307,1308,1311,1312,1314,1315,1316,1318,1322,1323,1325,
1334,1335,1345,1350,1351,1357,1366,1378,1379,1381,1383,1389,1391,1395,1429,
1431,1439,1442,1444,1451,1452,1456,1473,1474,1492,1493,1497,1501,1502,1503,
1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,1618,1627,1633,1638,
1649,1650,1654,1655,1656,1660,1665,1666,1667,1674,1676,1680,1707,1721,1722,
1726,1727,1745,1746,1758,1759,1767,1769,1771,1781,1782,1810,1817,1818,1827,
1829,1837,1841,1847,1856,1900,1902,1913,1915,1916,1917,1920,1921,1923,1924,
1925,1930,1931,1943,1944,1945,1946,1947,1949,1950,1980,1983,1999,2000,2002,
2008,2009,2012,2017,2059,2064,2078,2083,2084,2091,2106,2107,2133,2147,2149,
2157,2159,2160,2163,2164,2196,2204,2205,2224,2241],[1,2,3,5,6,7,8,9,11,15,17,
19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,52,57,58,64,65,
67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,107,108,110,
111,114,116,119,121,124,125,128,130,133,138,141,150,151,155,156,157,158,159,
161,162,163,164,165,166,168,169,174,176,177,178,179,180,181,183,185,187,193,
196,200,203,205,206,207,208,209,210,211,212,215,216,219,220,221,226,227,228,
229,233,234,238,241,242,253,254,259,260,265,266,267,275,277,279,281,283,286,
290,293,294,295,298,300,302,304,310,315,316,319,320,321,324,329,330,331,332,
333,336,337,344,345,346,347,348,352,353,362,363,364,365,367,369,371,374,377,
378,383,385,388,391,393,396,398,399,411,413,415,416,417,418,419,420,421,426,
428,431,433,434,435,436,444,445,447,448,450,451,453,456,460,463,467,470,474,
475,479,484,486,490,491,492,494,495,497,500,501,505,506,507,508,509,519,521,
522,523,524,525,526,527,528,529,530,531,534,539,543,546,560,561,562,564,573,
583,587,591,592,593,594,595,596,597,598,599,600,601,602,603,615,628,629,630,
632,636,637,642,643,650,651,652,653,655,656,661,669,670,679,680,688,689,691,
695,698,699,700,703,705,706,707,709,712,714,718,719,727,736,737,738,741,742,
744,746,750,753,754,758,759,762,763,788,791,793,797,798,802,804,807,808,810,
811,813,814,815,816,817,818,832,835,836,837,839,840,855,858,862,865,866,867,
868,870,872,874,879,880,882,883,889,890,892,893,898,899,909,912,913,914,915,
921,926,930,939,940,948,949,950,952,954,956,961,962,967,970,971,974,975,976,
977,984,985,986,987,989,994,1015,1020,1023,1024,1025,1030,1033,1034,1038,1052,
1053,1054,1055,1056,1057,1058,1059,1062,1065,1067,1070,1072,1073,1075,1076,
1078,1079,1080,1084,1087,1100,1101,1102,1103,1105,1106,1107,1110,1111,1113,
1116,1120,1132,1134,1137,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1161,1164,1165,1166,1170,1171,1177,1180,1181,1185,1186,1203,
1208,1209,1218,1220,1229,1230,1231,1232,1233,1238,1239,1240,1241,1243,1256,
1258,1259,1270,1271,1274,1275,1276,1283,1295,1297,1299,1301,1307,1310,1311,
1312,1314,1316,1318,1322,1323,1325,1326,1352,1353,1354,1358,1360,1363,1367,
1368,1369,1377,1378,1381,1383,1384,1389,1391,1393,1395,1399,1400,1413,1415,
1418,1420,1460,1461,1462,1463,1464,1468,1469,1471,1473,1474,1479,1495,1499,
1500,1501,1502,1503,1511,1513,1518,1521,1523,1524,1529,1532,1536,1537,1538,
1545,1546,1549,1550,1559,1561,1562,1564,1568,1569,1570,1571,1572,1573,1589,
1590,1591,1592,1593,1594,1595,1596,1597,1601,1602,1603,1606,1607,1608,1609,
1610,1611,1622,1623,1639,1640,1647,1648,1649,1650,1654,1655,1666,1667,1674,
1676,1693,1694,1695,1698,1701,1707,1708,1709,1725,1726,1738,1740,1743,1745,
1746,1756,1758,1759,1776,1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,
1850,1851,1852,1856,1857,1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,
1883,1886,1887,1891,1894,1899,1900,1902,1913,1915,1916,1920,1921,1923,1924,
1925,1932,1936,1948,1949,1950,1954,1955,1957,1958,1959,1969,1974,1975,1976,
1980,1981,1982,1983,2000,2018,2021,2022,2032,2034,2037,2048,2051,2052,2053,
2062,2063,2076,2078,2084,2088,2097,2101,2117,2119,2120,2121,2122,2123,2125,
2136,2147,2149,2157,2160,2163,2166,2169,2176,2177,2190,2197,2211,2215,2218,
2224,2242],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,19,20,22,23,24,25,26,27,28,
29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,50,54,57,62,63,65,67,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,89,90,92,93,95,96,97,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,119,120,
121,122,123,124,125,126,128,129,130,131,132,133,134,135,138,139,140,144,150,
153,155,156,157,158,159,161,162,163,164,165,167,168,169,173,176,177,178,179,
181,182,183,184,185,188,189,192,195,200,201,205,206,209,210,211,212,213,217,
219,222,226,228,230,231,232,235,236,237,239,243,244,248,254,261,265,267,268,
269,271,272,273,274,277,278,279,280,281,282,283,285,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,308,321,322,324,
325,329,330,331,332,333,335,339,344,346,352,353,354,355,356,361,362,363,369,
371,374,375,376,377,378,381,382,383,386,387,393,394,395,396,397,398,399,400,
401,402,403,404,410,411,412,413,414,415,416,417,419,444,445,446,447,448,449,
450,451,452,453,454,456,457,460,461,462,463,464,467,468,471,473,474,476,480,
482,483,484,485,486,487,488,489,490,491,492,493,494,500,502,505,506,507,508,
509,521,522,523,524,526,527,528,529,530,531,532,534,536,537,538,539,548,552,
555,560,561,562,563,564,569,574,575,576,579,580,591,592,594,595,607,615,620,
625,629,642,644,645,646,647,648,649,653,656,658,659,662,667,685,688,689,690,
691,692,693,694,695,696,697,698,699,705,706,707,708,709,710,712,713,714,715,
716,717,718,719,720,721,722,723,725,736,737,738,740,741,742,744,746,748,749,
750,751,752,753,754,756,759,760,761,764,765,766,767,768,769,770,771,772,773,
774,775,776,777,778,779,780,783,798,799,800,801,802,803,804,805,806,807,808,
809,810,811,813,814,815,816,818,835,839,840,841,844,845,846,847,848,850,852,
853,854,868,869,870,871,872,874,875,876,877,878,879,880,882,883,889,890,891,
894,895,896,897,901,902,905,913,914,915,923,924,925,926,927,944,945,946,948,
949,962,963,964,965,966,967,968,969,970,971,972,973,978,979,980,981,987,988,
989,990,991,992,993,998,1003,1005,1008,1014,1016,1018,1021,1024,1052,1053,
1054,1055,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1104,1105,1106,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1134,1135,1136,1138,1139,1140,1154,1155,1161,1162,1163,1165,1167,
1168,1169,1172,1173,1174,1175,1176,1178,1184,1204,1206,1209,1218,1224,1256,
1257,1260,1261,1268,1269,1270,1271,1278,1283,1284,1285,1286,1287,1288,1289,
1291,1292,1293,1294,1299,1300,1301,1307,1308,1309,1310,1311,1312,1314,1315,
1317,1319,1320,1321,1326,1327,1328,1329,1368,1369,1370,1372,1374,1375,1377,
1378,1379,1380,1381,1382,1385,1386,1387,1388,1397,1398,1399,1400,1401,1427,
1430,1434,1460,1461,1462,1463,1470,1476,1477,1478,1479,1480,1483,1484,1500,
1504,1505,1506,1507,1508,1509,1510,1511,1512,1515,1516,1517,1526,1527,1528,
1529,1530,1531,1532,1539,1540,1541,1542,1543,1544,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1556,1557,1558,1617,1625,1631,1632,1639,1640,1650,1651,
1652,1653,1658,1666,1667,1668,1669,1670,1671,1672,1675,1677,1724,1725,1726,
1727,1728,1747,1748,1749,1756,1757,1763,1764,1765,1766,1776,1777,1784,1810,
1811,1820,1821,1831,1848,1849,1850,1853,1854,1855,1901,1903,1913,1914,1917,
1918,1919,1922,1927,1928,1936,1937,1941,1969,1971,1978,1999,2001,2003,2010,
2011,2018,2019,2057,2076,2077,2078,2079,2080,2081,2093,2134,2146,2148,2158,
2159,2161,2162,2165,2168,2169,2192,2195,2201,2206,2225,2243],[1,2,3,5,6,8,10,
11,12,13,14,15,17,19,20,21,22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,
59,60,62,65,67,68,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,
97,100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,127,130,
133,138,141,143,146,149,150,151,156,158,164,169,171,176,178,181,185,187,194,
198,200,203,204,205,207,212,215,216,222,226,228,230,231,232,235,236,237,239,
242,243,245,256,263,265,266,269,271,272,273,274,275,277,279,280,281,283,285,
286,287,288,289,290,291,292,293,295,297,298,299,302,310,313,316,318,319,321,
324,329,333,336,337,345,347,348,364,369,371,374,375,378,379,380,382,384,392,
394,400,402,405,408,412,417,419,421,422,423,425,430,433,436,440,442,447,450,
453,456,460,463,467,470,474,475,484,490,494,495,497,499,500,501,504,505,508,
514,516,519,523,527,531,534,539,543,546,553,558,562,573,583,587,593,608,616,
617,618,633,638,642,644,645,647,648,653,656,658,662,665,683,688,689,691,692,
693,694,699,700,703,705,707,709,712,714,718,719,727,728,734,738,741,742,743,
744,746,751,754,761,762,764,767,771,774,776,778,782,786,788,789,790,791,793,
799,801,811,813,814,815,816,820,824,827,830,832,836,837,846,853,855,856,857,
858,860,864,866,872,875,877,880,882,883,885,887,890,892,893,898,899,909,912,
921,930,939,940,950,952,954,974,976,984,985,986,994,998,1004,1010,1011,1013,
1017,1028,1037,1041,1045,1049,1050,1051,1058,1059,1062,1065,1067,1072,1107,
1110,1111,1113,1132,1137,1154,1155,1161,1162,1163,1165,1167,1168,1169,1171,
1172,1174,1175,1176,1178,1184,1195,1197,1199,1221,1225,1256,1257,1258,1259,
1262,1263,1264,1266,1272,1275,1276,1287,1291,1293,1295,1296,1297,1303,1305,
1307,1308,1311,1312,1314,1315,1316,1318,1322,1323,1325,1334,1335,1345,1350,
1351,1357,1366,1378,1379,1381,1383,1389,1391,1395,1429,1431,1439,1442,1444,
1451,1452,1456,1473,1474,1492,1493,1497,1501,1502,1503,1513,1518,1521,1523,
1524,1545,1546,1559,1561,1562,1564,1620,1628,1634,1635,1636,1643,1645,1650,
1651,1653,1662,1666,1667,1668,1671,1675,1680,1721,1722,1726,1727,1745,1746,
1758,1759,1767,1769,1771,1781,1782,1810,1817,1818,1827,1829,1837,1841,1847,
1856,1901,1903,1913,1914,1917,1918,1919,1921,1925,1938,1940,1943,1963,1968,
1978,1999,2000,2002,2008,2009,2012,2017,2056,2073,2074,2078,2079,2082,2091,
2133,2146,2148,2158,2159,2160,2162,2164,2171,2175,2191,2194,2200,2205,2225,
2244],[1,2,3,4,5,6,7,8,9,11,15,16,17,18,19,20,21,22,24,25,26,28,29,31,32,33,
34,35,36,38,40,41,43,44,45,47,49,50,54,57,64,65,66,67,68,69,70,71,72,73,74,76,
80,82,84,85,87,88,89,90,91,93,94,98,99,100,101,103,104,107,108,111,112,114,
116,117,119,121,124,125,126,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,144,147,150,151,153,156,157,158,162,163,164,167,169,173,176,177,
178,181,182,183,184,185,186,187,188,189,190,191,192,195,197,200,201,202,203,
205,207,209,212,213,215,216,217,218,221,226,227,228,229,233,234,238,240,241,
242,248,252,262,265,266,267,268,270,275,276,277,278,279,281,283,284,286,290,
293,295,298,300,301,302,303,305,306,307,308,310,311,312,314,316,317,319,321,
322,323,324,326,327,328,329,331,333,336,337,338,339,340,341,342,343,345,347,
348,354,355,356,357,358,361,364,368,369,371,374,376,378,381,386,387,393,395,
397,399,401,403,404,410,413,414,416,417,419,421,424,429,433,436,439,444,445,
446,447,448,449,450,452,453,454,455,456,457,458,459,460,461,462,463,464,465,
466,467,469,470,471,472,473,474,475,480,482,484,485,486,487,488,489,490,494,
495,496,497,498,500,501,502,503,505,508,510,511,512,513,518,519,522,523,527,
528,529,531,534,538,539,541,542,543,544,545,546,548,549,550,551,552,555,556,
560,562,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,
583,584,585,586,587,588,589,590,593,605,615,620,625,629,642,643,650,651,652,
653,654,655,656,657,660,661,664,669,670,684,688,689,691,695,696,699,700,701,
702,703,705,707,709,710,711,712,714,716,718,719,722,723,724,725,727,729,730,
731,732,733,736,738,741,742,744,746,749,752,754,756,762,766,769,772,775,777,
780,783,788,791,793,796,798,803,805,807,810,811,813,814,815,816,818,821,822,
826,832,835,836,837,841,842,844,848,850,852,855,858,861,866,868,870,872,876,
880,882,883,884,889,890,892,893,898,899,900,901,902,903,904,905,906,907,908,
909,910,911,912,916,917,918,919,920,921,925,928,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,950,952,954,958,959,963,966,973,
974,976,978,980,982,984,985,986,993,994,996,999,1000,1001,1003,1005,1008,1012,
1014,1016,1018,1021,1026,1029,1031,1039,1042,1046,1047,1058,1059,1062,1065,
1067,1069,1072,1074,1081,1085,1086,1088,1089,1090,1092,1094,1099,1107,1110,
1111,1113,1117,1119,1121,1123,1124,1128,1130,1132,1137,1139,1152,1153,1161,
1164,1165,1166,1170,1171,1177,1179,1180,1181,1182,1183,1185,1189,1201,1204,
1206,1226,1227,1228,1240,1241,1242,1244,1256,1258,1259,1268,1269,1270,1271,
1275,1276,1277,1278,1279,1280,1281,1282,1284,1286,1289,1295,1297,1299,1301,
1302,1307,1311,1312,1314,1316,1318,1322,1323,1325,1328,1330,1332,1333,1336,
1338,1341,1344,1346,1348,1361,1364,1365,1370,1372,1374,1375,1378,1381,1383,
1385,1387,1389,1391,1392,1395,1397,1402,1404,1407,1409,1411,1412,1417,1421,
1422,1423,1424,1427,1430,1434,1437,1440,1443,1446,1449,1450,1453,1459,1466,
1470,1473,1474,1478,1481,1483,1484,1488,1489,1501,1502,1503,1513,1517,1518,
1519,1521,1523,1524,1527,1530,1533,1545,1546,1555,1558,1559,1561,1562,1564,
1565,1580,1585,1586,1619,1626,1631,1632,1639,1640,1649,1650,1654,1655,1657,
1666,1667,1673,1674,1676,1678,1679,1681,1707,1710,1724,1725,1726,1729,1730,
1731,1735,1736,1742,1744,1745,1746,1750,1751,1758,1759,1761,1763,1765,1766,
1772,1777,1780,1792,1793,1797,1798,1799,1804,1806,1808,1811,1819,1822,1825,
1830,1831,1836,1840,1848,1849,1856,1875,1888,1897,1900,1902,1913,1915,1916,
1920,1921,1923,1924,1925,1926,1929,1937,1942,1949,1950,1951,1956,1960,1961,
1970,1971,1980,1983,2000,2006,2014,2019,2027,2028,2029,2043,2047,2058,2065,
2076,2077,2078,2084,2092,2102,2114,2118,2127,2131,2147,2149,2157,2160,2163,
2168,2170,2193,2202,2216,2224,2245],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,18,19,
20,22,23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,54,61,62,65,
67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,
100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,
134,136,137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,
173,176,178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,
212,218,220,222,226,228,230,231,232,235,236,237,239,243,246,252,258,260,265,
268,269,271,272,273,274,276,277,279,280,281,283,285,286,287,288,289,290,291,
292,293,295,297,298,299,302,305,308,311,314,315,320,321,324,327,329,333,341,
357,358,368,369,371,373,374,375,376,378,382,385,386,387,390,391,394,397,400,
402,404,407,409,410,412,417,418,419,424,426,429,431,432,434,437,439,441,443,
447,450,452,453,456,458,460,463,466,467,469,471,474,477,480,484,485,490,494,
498,500,505,508,510,512,513,515,517,518,520,523,527,531,533,534,539,541,542,
545,547,548,551,554,555,556,557,562,568,572,581,582,589,590,596,597,598,604,
619,620,625,634,635,639,640,641,642,644,645,647,648,653,656,658,662,677,681,
688,689,691,692,693,694,699,702,704,705,707,709,712,714,718,719,722,725,732,
733,735,738,741,742,744,745,746,749,751,754,756,761,764,766,767,771,774,776,
778,780,781,783,787,792,796,799,801,811,813,814,815,816,819,821,822,825,826,
828,829,831,833,842,844,846,848,850,853,859,861,862,863,865,867,872,875,877,
880,882,883,884,886,888,890,904,908,917,918,928,931,934,958,959,982,996,998,
1007,1012,1019,1023,1026,1027,1029,1031,1033,1034,1039,1042,1044,1046,1047,
1056,1069,1092,1094,1099,1100,1101,1102,1103,1124,1128,1130,1141,1150,1154,
1155,1161,1162,1163,1165,1167,1168,1169,1172,1174,1175,1176,1178,1184,1189,
1190,1192,1193,1196,1201,1230,1232,1234,1235,1236,1237,1256,1257,1265,1267,
1268,1269,1273,1274,1280,1284,1287,1289,1291,1293,1298,1302,1304,1306,1307,
1308,1311,1312,1314,1315,1330,1332,1333,1338,1342,1346,1348,1352,1354,1360,
1362,1378,1379,1381,1392,1402,1425,1435,1446,1447,1453,1458,1459,1466,1481,
1486,1488,1489,1496,1519,1533,1536,1537,1538,1565,1568,1569,1571,1572,1574,
1575,1576,1579,1615,1616,1621,1624,1631,1632,1637,1641,1642,1644,1646,1650,
1651,1653,1666,1667,1668,1671,1675,1689,1690,1691,1692,1697,1700,1723,1724,
1726,1727,1761,1772,1775,1778,1780,1803,1810,1813,1819,1824,1825,1833,1836,
1840,1844,1859,1860,1861,1862,1898,1901,1903,1913,1914,1917,1918,1919,1929,
1933,1935,1952,1953,1955,1966,1970,1975,1977,1978,1979,1984,1999,2014,2015,
2020,2021,2024,2039,2060,2061,2075,2077,2078,2079,2098,2099,2100,2126,2140,
2146,2148,2158,2159,2162,2166,2167,2170,2173,2188,2189,2209,2210,2217,2225,
2246],[1,5,6,7,8,9,19,20,21,35,36,37,47,48,49,53,56,57,58,64,65,66,67,68,82,
83,107,161,162,163,164,165,166,178,179,180,209,210,215,219,220,221,223,228,
229,233,234,238,241,242,253,254,255,259,260,264,265,266,336,345,374,433,434,
435,445,523,524,525,560,561,594,595,596,599,601,603,605,606,612,622,629,630,
632,636,637,642,643,655,660,670,679,680,687,741,762,763,818,915,986,1052,1053,
1056,1057,1103,1144,1147,1152,1153,1156,1161,1164,1166,1170,1171,1177,1185,
1208,1209,1217,1220,1232,1233,1238,1239,1240,1243,1253,1255,1258,1460,1469,
1572,1573,1607,1611,1622,1623,1629,1633,1640,1647,1648,1666,1673,1674,1693,
1694,1701,1708,1709,1720,1883,1900,1902,1908,1912,1915,1920,1921,1923,1969,
1972,1974,1975,1976,1993,2058,2059,2062,2063,2070,2072,2097,2121,2122,2123,
2128,2149,2150,2183,2185,2197,2222,2229,2247],[1,2,3,5,6,7,8,9,10,11,15,19,20,
22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,49,55,56,57,58,59,60,62,64,65,
66,67,69,70,71,72,76,80,82,83,84,85,89,90,100,101,104,105,107,108,110,111,114,
116,119,121,124,125,128,130,133,138,150,155,156,157,158,159,161,162,163,164,
165,168,169,176,177,178,179,181,183,185,200,205,206,209,210,211,212,219,221,
222,226,228,230,233,236,238,240,241,243,245,249,250,251,253,254,255,256,259,
262,265,267,277,279,281,283,286,290,293,294,295,298,300,302,304,321,324,329,
330,331,332,333,344,346,352,353,362,363,369,371,374,377,378,383,393,396,398,
399,411,413,415,416,417,419,444,445,447,448,450,451,453,456,460,463,467,474,
484,486,490,491,492,494,500,505,506,507,508,509,521,522,523,524,526,527,528,
529,530,531,534,539,560,561,562,564,591,592,594,595,603,605,606,608,615,616,
618,622,626,629,631,632,633,636,642,644,647,650,653,655,656,658,660,661,663,
665,668,671,674,678,679,684,686,688,689,691,695,698,699,705,706,707,709,712,
714,718,719,736,737,738,741,742,744,746,750,753,754,759,798,802,804,807,808,
810,811,813,814,815,816,818,835,839,840,868,870,872,874,879,880,882,883,889,
890,913,914,915,926,948,949,962,967,970,971,987,989,1024,1052,1053,1054,1055,
1075,1076,1078,1079,1080,1084,1087,1105,1106,1116,1120,1134,1153,1154,1156,
1161,1162,1164,1165,1175,1176,1177,1181,1182,1195,1197,1199,1203,1209,1210,
1211,1212,1213,1217,1218,1220,1221,1223,1228,1231,1238,1246,1248,1249,1256,
1270,1271,1283,1299,1301,1307,1310,1311,1312,1314,1326,1368,1369,1377,1378,
1381,1399,1400,1460,1461,1462,1463,1479,1500,1511,1529,1532,1549,1550,1618,
1620,1622,1626,1633,1634,1636,1638,1639,1640,1647,1649,1650,1651,1660,1662,
1663,1666,1667,1673,1678,1682,1687,1698,1701,1702,1712,1725,1726,1756,1776,
1784,1820,1821,1850,1900,1901,1906,1913,1916,1918,1926,1930,1931,1932,1936,
1938,1940,1942,1954,1969,1972,1973,1987,2018,2056,2058,2059,2062,2076,2078,
2082,2083,2087,2090,2092,2095,2101,2105,2146,2147,2150,2169,2179,2190,2193,
2194,2196,2219,2226,2233,2235,2248],[1,2,3,4,5,6,8,9,10,11,15,16,18,19,20,22,
25,26,28,29,31,32,34,35,38,40,44,45,47,50,54,55,56,59,60,61,62,63,64,65,67,69,
71,72,73,76,80,82,84,85,87,89,90,93,94,99,100,101,104,108,111,114,116,119,121,
125,130,131,133,134,136,137,138,139,142,144,147,150,156,158,164,169,173,176,
178,181,182,185,186,189,190,191,195,197,200,202,205,212,218,221,222,226,228,
230,233,236,238,241,243,244,245,246,247,249,251,252,256,257,258,261,265,268,
276,277,279,281,283,286,290,293,295,298,302,305,308,311,314,321,324,327,329,
333,341,357,358,368,369,371,374,376,378,386,387,397,404,410,417,419,424,429,
439,447,450,452,453,456,458,460,463,466,467,469,471,474,480,484,485,490,494,
498,500,505,508,510,512,513,518,523,527,531,534,539,541,542,545,548,551,555,
556,562,568,572,581,582,589,590,604,606,607,608,616,618,619,620,622,625,626,
631,633,640,642,644,646,647,650,653,655,656,658,661,663,665,666,673,676,681,
682,685,686,688,689,691,699,702,705,707,709,712,714,718,719,722,725,732,733,
738,741,742,744,746,749,754,756,766,780,783,796,811,813,814,815,816,821,822,
826,842,844,848,850,861,872,880,882,883,884,890,904,908,917,918,928,931,934,
958,959,982,996,1012,1026,1029,1031,1039,1042,1046,1047,1069,1092,1094,1099,
1124,1128,1130,1153,1154,1157,1161,1162,1164,1165,1173,1175,1176,1177,1181,
1189,1190,1191,1192,1195,1197,1198,1199,1201,1210,1211,1212,1221,1223,1224,
1234,1236,1247,1248,1250,1256,1268,1269,1280,1284,1289,1302,1307,1311,1312,
1314,1330,1332,1333,1338,1346,1348,1378,1381,1392,1402,1446,1453,1459,1466,
1481,1488,1489,1519,1533,1565,1618,1620,1621,1625,1631,1632,1633,1634,1636,
1638,1642,1649,1650,1651,1660,1662,1664,1666,1667,1669,1677,1685,1688,1690,
1691,1703,1711,1724,1726,1761,1772,1780,1819,1825,1836,1840,1900,1901,1905,
1913,1916,1918,1927,1929,1930,1931,1933,1938,1940,1941,1952,1962,1965,1970,
1988,2014,2056,2057,2059,2060,2077,2078,2082,2083,2086,2089,2093,2096,2098,
2103,2146,2147,2151,2170,2180,2188,2192,2194,2196,2219,2227,2233,2234,2249],[
1,2,3,5,6,8,9,10,11,15,19,20,22,25,26,29,31,32,35,38,40,44,46,47,51,55,56,59,
60,62,64,65,67,69,71,72,76,80,82,84,85,89,90,100,101,104,108,111,114,116,119,
121,125,130,133,138,150,156,158,164,169,176,178,181,185,194,198,200,204,205,
212,221,222,226,228,230,233,236,238,241,243,245,249,251,256,263,265,277,279,
281,283,286,290,293,295,298,302,313,318,321,324,329,333,369,371,374,378,379,
384,405,417,419,422,425,442,447,450,453,456,460,463,467,474,484,490,494,500,
505,508,523,527,531,534,539,562,606,608,616,618,622,626,631,633,642,644,647,
650,653,655,656,658,661,663,665,686,688,689,691,699,705,707,709,712,714,718,
719,738,741,742,744,746,754,811,813,814,815,816,856,860,872,880,882,883,887,
890,1010,1011,1037,1045,1049,1051,1153,1154,1161,1162,1164,1165,1175,1176,
1177,1181,1195,1197,1199,1210,1211,1212,1221,1223,1225,1248,1256,1262,1264,
1307,1311,1312,1314,1334,1345,1350,1357,1378,1381,1618,1620,1633,1634,1636,
1638,1649,1650,1651,1660,1662,1666,1667,1713,1726,1781,1782,1900,1901,1913,
1916,1918,1930,1931,1938,1940,1943,2002,2056,2059,2078,2082,2083,2146,2147,
2164,2194,2196,2219,2233,2250],[1,2,3,4,5,6,10,11,12,13,14,15,16,18,19,20,22,
23,25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,53,59,60,61,62,63,
67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,
100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,
134,136,137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,
173,176,178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,
212,218,220,223,224,225,230,231,235,236,243,244,245,246,247,256,257,258,261,
265,268,269,271,272,273,274,276,277,279,280,281,283,285,286,287,288,289,290,
291,292,293,295,297,298,299,302,305,308,311,314,315,320,321,324,327,329,333,
341,357,358,368,369,371,373,374,375,376,378,382,385,386,387,390,391,394,397,
400,402,404,407,409,410,412,417,418,419,424,426,429,431,432,434,437,439,441,
443,447,450,452,453,456,458,460,463,466,467,469,471,474,477,480,484,485,490,
494,498,500,505,508,510,512,513,515,517,518,520,523,527,531,533,534,539,541,
542,545,547,548,551,554,555,556,557,562,568,572,581,582,589,590,596,597,598,
609,610,611,612,613,616,618,619,633,635,640,641,644,645,646,647,648,658,662,
665,666,673,676,681,682,685,688,689,691,692,693,694,699,702,704,705,707,709,
712,714,718,719,722,725,732,733,735,738,741,742,744,745,746,749,751,754,756,
761,764,766,767,771,774,776,778,780,781,783,787,792,796,799,801,811,813,814,
815,816,819,821,822,825,826,828,829,831,833,842,844,846,848,850,853,859,861,
862,863,865,867,872,875,877,880,882,883,884,886,888,890,904,908,917,918,928,
931,934,958,959,982,996,998,1007,1012,1019,1023,1026,1027,1029,1031,1033,1034,
1039,1042,1044,1046,1047,1056,1069,1092,1094,1099,1100,1101,1102,1103,1124,
1128,1130,1141,1150,1158,1159,1160,1162,1167,1172,1173,1174,1175,1176,1190,
1191,1192,1193,1195,1196,1197,1198,1199,1221,1224,1234,1235,1236,1237,1247,
1251,1252,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,1287,1289,1291,
1293,1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,1332,1333,1338,
1342,1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,1425,1435,1446,
1447,1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,1536,1537,1538,
1565,1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1629,1630,1634,1636,
1642,1644,1651,1653,1662,1664,1669,1675,1677,1685,1688,1689,1690,1691,1692,
1703,1714,1715,1716,1718,1719,1723,1724,1726,1727,1761,1772,1775,1778,1780,
1803,1810,1813,1819,1824,1825,1833,1836,1840,1844,1859,1860,1861,1862,1898,
1908,1909,1910,1918,1919,1927,1933,1935,1938,1940,1941,1952,1953,1962,1965,
1978,1979,1984,1988,1991,1992,1994,1995,1996,1997,1999,2014,2015,2020,2021,
2024,2039,2066,2067,2068,2069,2070,2082,2086,2089,2093,2096,2098,2099,2103,
2126,2129,2130,2140,2153,2154,2155,2162,2180,2198,2217,2237,2251],[1,2,3,5,6,
7,9,11,15,17,19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,
52,53,55,56,58,64,66,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,
104,105,107,108,110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,
155,156,157,158,159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,
181,183,185,187,193,196,200,203,205,206,207,208,209,210,211,212,215,216,219,
220,223,224,225,233,234,238,240,241,249,250,251,253,255,259,262,265,266,267,
275,277,279,281,283,286,290,293,294,295,298,300,302,304,310,315,316,319,320,
321,324,329,330,331,332,333,336,337,344,345,346,347,348,352,353,362,363,364,
365,367,369,371,374,377,378,383,385,388,391,393,396,398,399,411,413,415,416,
417,418,419,420,421,426,428,431,433,434,435,436,444,445,447,448,450,451,453,
456,460,463,467,470,474,475,479,484,486,490,491,492,494,495,497,500,501,505,
506,507,508,509,519,521,522,523,524,525,526,527,528,529,530,531,534,539,543,
546,560,561,562,564,573,583,587,591,592,593,594,595,596,597,598,599,600,601,
602,609,610,611,612,613,622,626,631,632,636,637,650,655,660,661,663,668,671,
674,678,679,684,688,689,691,695,698,699,700,703,705,706,707,709,712,714,718,
719,727,736,737,738,741,742,744,746,750,753,754,758,759,762,763,788,791,793,
797,798,802,804,807,808,810,811,813,814,815,816,817,818,832,835,836,837,839,
840,855,858,862,865,866,867,868,870,872,874,879,880,882,883,889,890,892,893,
898,899,909,912,913,914,915,921,926,930,939,940,948,949,950,952,954,956,961,
962,967,970,971,974,975,976,977,984,985,986,987,989,994,1015,1020,1023,1024,
1025,1030,1033,1034,1038,1052,1053,1054,1055,1056,1057,1058,1059,1062,1065,
1067,1070,1072,1073,1075,1076,1078,1079,1080,1084,1087,1100,1101,1102,1103,
1105,1106,1107,1110,1111,1113,1116,1120,1132,1134,1137,1141,1142,1143,1144,
1145,1146,1147,1148,1149,1150,1151,1158,1159,1160,1164,1166,1177,1181,1182,
1185,1203,1210,1211,1212,1213,1217,1220,1223,1228,1231,1238,1246,1253,1256,
1258,1259,1270,1271,1274,1275,1276,1283,1295,1297,1299,1301,1307,1310,1311,
1312,1314,1316,1318,1322,1323,1325,1326,1352,1353,1354,1358,1360,1363,1367,
1368,1369,1377,1378,1381,1383,1384,1389,1391,1393,1395,1399,1400,1413,1415,
1418,1420,1460,1461,1462,1463,1464,1468,1469,1471,1473,1474,1479,1495,1499,
1500,1501,1502,1503,1511,1513,1518,1521,1523,1524,1529,1532,1536,1537,1538,
1545,1546,1549,1550,1559,1561,1562,1564,1568,1569,1570,1571,1572,1573,1589,
1590,1591,1592,1593,1594,1595,1596,1597,1601,1602,1603,1606,1607,1608,1609,
1610,1611,1629,1630,1633,1638,1647,1648,1649,1660,1663,1673,1674,1676,1678,
1682,1687,1698,1701,1702,1707,1708,1720,1725,1726,1738,1740,1743,1745,1746,
1756,1758,1759,1776,1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,
1851,1852,1856,1857,1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,
1886,1887,1891,1894,1899,1908,1909,1910,1915,1916,1920,1926,1930,1931,1932,
1942,1954,1972,1973,1974,1976,1981,1982,1983,1987,2000,2018,2021,2022,2032,
2034,2037,2048,2051,2052,2053,2066,2067,2068,2069,2070,2083,2084,2087,2090,
2092,2095,2097,2101,2105,2122,2125,2136,2153,2154,2155,2163,2176,2177,2179,
2183,2198,2218,2220,2222,2236,2238,2239,2252],[1,2,3,4,5,6,7,8,9,11,12,13,14,
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,
41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,64,65,66,67,68,69,70,71,72,
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,
213,214,215,216,217,218,219,220,221,226,227,228,229,233,234,238,239,240,241,
242,248,249,250,251,252,253,254,255,259,260,262,263,265,266,267,268,269,270,
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,
594,595,596,597,598,599,600,601,602,603,605,606,614,615,620,621,622,623,624,
625,626,627,628,629,630,631,632,636,637,642,643,650,651,652,653,654,655,656,
657,660,661,663,664,667,668,669,670,671,672,674,675,677,678,679,680,683,684,
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,
1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1156,1161,1164,1165,1166,
1170,1171,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,
1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,
1215,1216,1217,1218,1219,1220,1223,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1238,1239,1240,1241,1242,1243,1244,1245,1246,1256,1257,1258,1259,1260,
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,
1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1618,1619,1622,1623,
1626,1627,1631,1632,1633,1638,1639,1640,1647,1648,1649,1650,1654,1655,1656,
1657,1658,1659,1660,1661,1663,1665,1666,1667,1673,1674,1676,1678,1679,1680,
1681,1682,1683,1684,1686,1687,1693,1694,1695,1696,1697,1698,1699,1700,1701,
1702,1704,1705,1706,1707,1708,1709,1710,1721,1722,1723,1724,1725,1726,1727,
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,
1893,1894,1895,1896,1897,1898,1899,1900,1902,1906,1907,1913,1915,1916,1917,
1920,1921,1923,1924,1925,1926,1929,1930,1931,1932,1936,1937,1942,1943,1944,
1945,1946,1947,1948,1949,1950,1951,1954,1955,1956,1957,1958,1959,1960,1961,
1969,1970,1971,1972,1973,1974,1975,1976,1980,1981,1982,1983,1985,1986,1987,
1989,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,
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,
2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2058,2059,
2062,2063,2064,2065,2076,2077,2078,2081,2083,2084,2085,2087,2088,2090,2091,
2092,2094,2095,2097,2100,2101,2102,2105,2106,2107,2108,2109,2110,2111,2112,
2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2125,2127,2131,2132,
2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2147,2149,
2150,2152,2157,2159,2160,2163,2164,2166,2168,2169,2170,2176,2177,2178,2179,
2181,2182,2186,2190,2193,2196,2197,2201,2202,2204,2205,2208,2210,2211,2213,
2215,2216,2218,2224,2226,2230,2232,2241,2242,2245,2253],[1,2,3,4,5,6,7,8,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,57,59,60,61,62,63,65,67,68,
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,
210,211,212,213,214,215,216,217,218,219,220,222,226,228,230,231,232,235,236,
237,239,242,243,244,245,246,247,248,252,254,256,257,258,260,261,263,265,266,
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,
590,591,592,593,594,595,596,597,598,599,600,601,602,604,607,608,615,616,617,
618,619,620,625,629,633,634,635,638,639,640,641,642,644,645,646,647,648,649,
653,656,658,659,662,664,665,666,667,672,673,675,676,677,680,681,682,683,685,
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,
1144,1145,1146,1147,1148,1149,1150,1151,1154,1155,1157,1161,1162,1163,1165,
1167,1168,1169,1171,1172,1173,1174,1175,1176,1178,1184,1189,1190,1191,1192,
1193,1194,1195,1196,1197,1198,1199,1201,1204,1206,1209,1218,1221,1222,1224,
1225,1230,1232,1234,1235,1236,1237,1245,1247,1256,1257,1258,1259,1260,1261,
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,
1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1620,1621,1624,1625,
1628,1631,1632,1634,1635,1636,1637,1639,1640,1641,1642,1643,1644,1645,1646,
1650,1651,1652,1653,1657,1658,1662,1664,1666,1667,1668,1669,1670,1671,1672,
1675,1677,1680,1684,1685,1688,1689,1690,1691,1692,1693,1697,1700,1703,1704,
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,
1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1901,
1903,1904,1905,1913,1914,1917,1918,1919,1921,1922,1925,1927,1928,1929,1933,
1934,1935,1936,1937,1938,1939,1940,1941,1943,1952,1953,1955,1962,1963,1964,
1965,1966,1967,1968,1969,1970,1971,1975,1977,1978,1979,1984,1986,1988,1999,
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,
2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2060,2061,
2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,2085,2086,2088,2089,2091,
2093,2094,2096,2098,2099,2100,2102,2103,2104,2123,2124,2126,2131,2132,2133,
2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2148,2151,
2158,2159,2160,2161,2162,2164,2165,2166,2167,2168,2169,2170,2171,2172,2173,
2174,2175,2178,2180,2186,2188,2189,2191,2192,2194,2195,2200,2201,2202,2203,
2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2217,2225,2227,2228,2230,
2231,2243,2244,2246,2254],[1,2,3,5,6,8,9,11,15,17,19,20,21,22,25,26,29,31,32,
35,38,40,44,47,53,55,56,64,65,67,68,69,71,72,76,80,82,84,85,88,89,90,91,100,
101,104,108,111,114,116,119,121,125,130,133,138,141,150,151,156,158,164,169,
176,178,181,185,187,200,203,205,207,212,215,216,221,223,224,225,226,227,228,
229,233,234,238,241,242,249,251,264,265,266,275,277,279,281,283,286,290,293,
295,298,302,310,316,319,321,324,329,333,336,337,345,347,348,364,369,371,374,
378,417,419,421,433,436,447,450,453,456,460,463,467,470,474,475,484,490,494,
495,497,500,501,505,508,519,523,527,531,534,539,543,546,562,573,583,587,593,
606,609,610,611,622,626,631,642,643,650,651,652,653,655,656,661,663,669,670,
687,688,689,691,699,700,703,705,707,709,712,714,718,719,727,738,741,742,744,
746,754,762,788,791,793,811,813,814,815,816,832,836,837,855,858,866,872,880,
882,883,890,892,893,898,899,909,912,921,930,939,940,950,952,954,974,976,984,
985,986,994,1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,1152,
1153,1158,1161,1164,1165,1166,1170,1171,1177,1180,1181,1185,1210,1211,1212,
1223,1240,1241,1253,1254,1256,1258,1259,1275,1276,1295,1297,1307,1311,1312,
1314,1316,1318,1322,1323,1325,1378,1381,1383,1389,1391,1395,1473,1474,1501,
1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,1618,1629,
1633,1638,1649,1650,1654,1655,1660,1666,1667,1674,1676,1707,1717,1726,1745,
1746,1758,1759,1856,1900,1902,1908,1909,1910,1912,1913,1915,1916,1920,1921,
1923,1924,1925,1930,1931,1949,1950,1980,1983,1993,2000,2059,2066,2067,2068,
2078,2083,2084,2128,2147,2149,2153,2157,2160,2163,2183,2184,2196,2220,2221,
2224,2229,2236,2255],[1,2,3,5,6,8,10,11,12,13,14,15,19,20,22,23,25,26,27,29,
30,31,32,35,38,39,40,44,47,53,59,60,62,65,67,69,71,72,75,76,77,78,80,81,82,84,
85,86,89,90,92,95,96,97,100,101,102,104,108,111,114,115,116,118,119,120,121,
122,123,125,130,133,138,150,156,158,164,169,176,178,181,185,200,205,212,222,
223,224,225,226,228,230,231,232,235,236,237,239,243,245,256,264,265,269,271,
272,273,274,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,
298,299,302,321,324,329,333,369,371,374,375,378,382,394,400,402,412,417,419,
447,450,453,456,460,463,467,474,484,490,494,500,505,508,523,527,531,534,539,
562,608,609,610,611,616,618,633,642,644,645,647,648,653,656,658,662,665,687,
688,689,691,692,693,694,699,705,707,709,712,714,718,719,738,741,742,744,746,
751,754,761,764,767,771,774,776,778,799,801,811,813,814,815,816,846,853,872,
875,877,880,882,883,890,998,1154,1155,1158,1161,1162,1163,1165,1167,1168,1169,
1172,1174,1175,1176,1178,1184,1195,1197,1199,1221,1251,1252,1254,1256,1257,
1287,1291,1293,1307,1308,1311,1312,1314,1315,1378,1379,1381,1620,1629,1634,
1636,1650,1651,1653,1662,1666,1667,1668,1671,1675,1714,1715,1716,1717,1726,
1727,1810,1901,1903,1908,1909,1910,1911,1913,1914,1917,1918,1919,1938,1940,
1978,1991,1992,1993,1999,2056,2066,2067,2068,2078,2079,2082,2128,2146,2148,
2153,2156,2158,2159,2162,2184,2194,2221,2225,2237,2256],[1,2,3,4,5,6,7,8,9,10,
11,15,16,18,19,20,22,24,25,26,28,29,31,32,34,35,36,37,38,40,42,43,44,45,46,47,
49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,76,80,82,83,
84,85,87,89,90,93,94,99,100,101,104,105,107,108,110,111,114,116,119,121,124,
125,128,130,131,133,134,136,137,138,139,142,144,147,150,155,156,157,158,159,
161,162,163,164,165,168,169,170,173,175,176,177,178,179,181,182,183,185,186,
189,190,191,194,195,197,198,200,202,204,205,206,209,210,211,212,218,219,221,
222,226,228,230,233,236,238,240,241,243,244,245,246,247,249,250,251,252,253,
254,255,256,257,258,259,261,262,263,265,267,268,276,277,279,281,283,286,290,
293,294,295,298,300,302,304,305,308,311,313,314,318,321,324,327,329,330,331,
332,333,341,344,346,349,352,353,357,358,362,363,366,368,369,370,371,374,376,
377,378,379,383,384,386,387,389,393,396,397,398,399,404,405,410,411,413,415,
416,417,419,422,424,425,427,429,438,439,442,444,445,447,448,450,451,452,453,
456,458,460,463,466,467,469,471,474,478,480,484,485,486,490,491,492,494,498,
500,505,506,507,508,509,510,512,513,518,521,522,523,524,526,527,528,529,530,
531,534,535,539,541,542,545,548,551,555,556,560,561,562,564,568,572,581,582,
589,590,591,592,594,595,603,604,605,606,607,608,615,616,618,619,620,622,625,
626,629,631,632,633,636,640,642,644,646,647,650,653,655,656,658,660,661,663,
665,666,668,671,673,674,675,676,678,679,681,682,684,685,686,688,689,691,695,
698,699,702,705,706,707,709,712,714,718,719,722,725,732,733,736,737,738,741,
742,744,746,747,749,750,753,754,756,757,759,766,780,783,794,795,796,798,802,
804,807,808,810,811,813,814,815,816,818,821,822,826,835,839,840,842,844,848,
850,856,860,861,868,870,872,874,879,880,882,883,884,887,889,890,904,908,913,
914,915,917,918,926,928,931,934,948,949,951,953,957,958,959,960,962,967,970,
971,982,987,989,996,1002,1006,1010,1011,1012,1024,1026,1029,1031,1035,1036,
1037,1039,1040,1042,1043,1045,1046,1047,1049,1051,1052,1053,1054,1055,1061,
1069,1071,1075,1076,1078,1079,1080,1084,1087,1092,1094,1099,1105,1106,1116,
1120,1124,1128,1130,1134,1153,1154,1156,1157,1161,1162,1164,1165,1173,1175,
1176,1177,1181,1182,1189,1190,1191,1192,1195,1197,1198,1199,1201,1203,1209,
1210,1211,1212,1213,1217,1218,1220,1221,1223,1224,1225,1228,1231,1234,1236,
1238,1246,1247,1248,1249,1250,1256,1262,1264,1268,1269,1270,1271,1280,1283,
1284,1289,1299,1301,1302,1307,1310,1311,1312,1314,1326,1330,1332,1333,1334,
1337,1338,1340,1345,1346,1348,1350,1355,1356,1357,1368,1369,1377,1378,1381,
1390,1392,1394,1399,1400,1402,1405,1408,1416,1432,1446,1453,1454,1459,1460,
1461,1462,1463,1465,1466,1479,1481,1485,1488,1489,1491,1500,1511,1519,1529,
1532,1533,1549,1550,1565,1598,1599,1600,1612,1613,1614,1618,1620,1621,1622,
1625,1626,1631,1632,1633,1634,1636,1638,1639,1640,1642,1647,1649,1650,1651,
1660,1662,1663,1664,1666,1667,1669,1673,1677,1678,1682,1685,1687,1688,1690,
1691,1698,1701,1702,1703,1704,1711,1712,1713,1724,1725,1726,1733,1739,1756,
1761,1772,1776,1780,1781,1782,1784,1796,1801,1819,1820,1821,1825,1834,1836,
1838,1840,1850,1867,1868,1869,1900,1901,1905,1906,1913,1916,1918,1926,1927,
1929,1930,1931,1932,1933,1936,1938,1940,1941,1942,1943,1952,1954,1962,1965,
1969,1970,1972,1973,1987,1988,1990,2002,2004,2014,2018,2030,2035,2036,2056,
2057,2058,2059,2060,2062,2076,2077,2078,2082,2083,2085,2086,2087,2089,2090,
2092,2093,2095,2096,2098,2101,2103,2105,2139,2146,2147,2150,2151,2164,2169,
2170,2179,2180,2188,2190,2192,2193,2194,2196,2208,2219,2226,2227,2233,2234,
2235,2248,2249,2250,2257],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,18,19,20,22,23,
25,26,27,28,29,30,31,32,34,35,38,39,40,44,45,47,48,50,52,53,54,59,60,61,62,63,
65,67,69,71,72,73,75,76,77,78,80,81,82,84,85,86,87,89,90,92,93,94,95,96,97,99,
100,101,102,104,108,111,114,115,116,118,119,120,121,122,123,125,130,131,133,
134,136,137,138,139,142,144,145,147,148,150,152,154,156,158,160,164,169,172,
173,176,178,180,181,182,185,186,189,190,191,193,195,196,197,200,202,205,208,
212,218,220,222,223,224,225,226,228,230,231,232,235,236,237,239,243,244,245,
246,247,252,256,257,258,260,261,264,265,268,269,271,272,273,274,276,277,279,
280,281,283,285,286,287,288,289,290,291,292,293,295,297,298,299,302,305,308,
311,314,315,320,321,324,327,329,333,341,357,358,368,369,371,373,374,375,376,
378,382,385,386,387,390,391,394,397,400,402,404,407,409,410,412,417,418,419,
424,426,429,431,432,434,437,439,441,443,447,450,452,453,456,458,460,463,466,
467,469,471,474,477,480,484,485,490,494,498,500,505,508,510,512,513,515,517,
518,520,523,527,531,533,534,539,541,542,545,547,548,551,554,555,556,557,562,
568,572,581,582,589,590,596,597,598,604,607,608,609,610,611,612,613,616,618,
619,620,625,633,634,635,639,640,641,642,644,645,646,647,648,653,656,658,662,
665,666,673,676,677,681,682,685,687,688,689,691,692,693,694,699,702,704,705,
707,709,712,714,718,719,722,725,732,733,735,738,741,742,744,745,746,749,751,
754,756,761,764,766,767,771,774,776,778,780,781,783,787,792,796,799,801,811,
813,814,815,816,819,821,822,825,826,828,829,831,833,842,844,846,848,850,853,
859,861,862,863,865,867,872,875,877,880,882,883,884,886,888,890,904,908,917,
918,928,931,934,958,959,982,996,998,1007,1012,1019,1023,1026,1027,1029,1031,
1033,1034,1039,1042,1044,1046,1047,1056,1069,1092,1094,1099,1100,1101,1102,
1103,1124,1128,1130,1141,1150,1154,1155,1157,1158,1159,1160,1161,1162,1163,
1165,1167,1168,1169,1172,1173,1174,1175,1176,1178,1184,1189,1190,1191,1192,
1193,1195,1196,1197,1198,1199,1201,1221,1224,1230,1232,1234,1235,1236,1237,
1247,1251,1252,1254,1255,1256,1257,1265,1267,1268,1269,1273,1274,1280,1284,
1287,1289,1291,1293,1298,1302,1304,1306,1307,1308,1311,1312,1314,1315,1330,
1332,1333,1338,1342,1346,1348,1352,1354,1360,1362,1378,1379,1381,1392,1402,
1425,1435,1446,1447,1453,1458,1459,1466,1481,1486,1488,1489,1496,1519,1533,
1536,1537,1538,1565,1568,1569,1571,1572,1574,1575,1576,1579,1615,1616,1620,
1621,1624,1625,1629,1630,1631,1632,1634,1636,1637,1641,1642,1644,1646,1650,
1651,1653,1662,1664,1666,1667,1668,1669,1671,1675,1677,1685,1688,1689,1690,
1691,1692,1697,1700,1703,1714,1715,1716,1717,1718,1719,1723,1724,1726,1727,
1761,1772,1775,1778,1780,1803,1810,1813,1819,1824,1825,1833,1836,1840,1844,
1859,1860,1861,1862,1898,1901,1903,1905,1908,1909,1910,1911,1913,1914,1917,
1918,1919,1927,1929,1933,1935,1938,1940,1941,1952,1953,1955,1962,1965,1966,
1970,1975,1977,1978,1979,1984,1988,1991,1992,1993,1994,1995,1996,1997,1998,
1999,2014,2015,2020,2021,2024,2039,2056,2057,2060,2061,2066,2067,2068,2069,
2070,2071,2075,2077,2078,2079,2082,2086,2089,2093,2096,2098,2099,2100,2103,
2126,2128,2129,2130,2140,2146,2148,2151,2153,2154,2155,2156,2158,2159,2162,
2166,2167,2170,2173,2180,2184,2185,2188,2189,2192,2194,2198,2199,2209,2210,
2217,2221,2225,2227,2237,2240,2246,2251,2256,2258],[1,2,3,5,6,7,8,9,11,15,17,
19,20,21,22,24,25,26,29,31,32,35,36,37,38,40,42,43,44,47,48,49,52,53,55,56,57,
58,64,65,66,67,68,69,70,71,72,76,80,82,83,84,85,88,89,90,91,100,101,104,105,
107,108,110,111,114,116,119,121,124,125,128,130,133,138,141,150,151,155,156,
157,158,159,161,162,163,164,165,166,168,169,174,176,177,178,179,180,181,183,
185,187,193,196,200,203,205,206,207,208,209,210,211,212,215,216,219,220,221,
223,224,225,226,227,228,229,233,234,238,240,241,242,249,250,251,253,254,255,
259,260,262,264,265,266,267,275,277,279,281,283,286,290,293,294,295,298,300,
302,304,310,315,316,319,320,321,324,329,330,331,332,333,336,337,344,345,346,
347,348,352,353,362,363,364,365,367,369,371,374,377,378,383,385,388,391,393,
396,398,399,411,413,415,416,417,418,419,420,421,426,428,431,433,434,435,436,
444,445,447,448,450,451,453,456,460,463,467,470,474,475,479,484,486,490,491,
492,494,495,497,500,501,505,506,507,508,509,519,521,522,523,524,525,526,527,
528,529,530,531,534,539,543,546,560,561,562,564,573,583,587,591,592,593,594,
595,596,597,598,599,600,601,602,603,605,606,609,610,611,612,613,615,622,626,
628,629,630,631,632,636,637,642,643,650,651,652,653,655,656,660,661,663,668,
669,670,671,674,678,679,680,684,687,688,689,691,695,698,699,700,703,705,706,
707,709,712,714,718,719,727,736,737,738,741,742,744,746,750,753,754,758,759,
762,763,788,791,793,797,798,802,804,807,808,810,811,813,814,815,816,817,818,
832,835,836,837,839,840,855,858,862,865,866,867,868,870,872,874,879,880,882,
883,889,890,892,893,898,899,909,912,913,914,915,921,926,930,939,940,948,949,
950,952,954,956,961,962,967,970,971,974,975,976,977,984,985,986,987,989,994,
1015,1020,1023,1024,1025,1030,1033,1034,1038,1052,1053,1054,1055,1056,1057,
1058,1059,1062,1065,1067,1070,1072,1073,1075,1076,1078,1079,1080,1084,1087,
1100,1101,1102,1103,1105,1106,1107,1110,1111,1113,1116,1120,1132,1134,1137,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1156,1158,
1159,1160,1161,1164,1165,1166,1170,1171,1177,1180,1181,1182,1185,1186,1203,
1208,1209,1210,1211,1212,1213,1217,1218,1220,1223,1228,1229,1230,1231,1232,
1233,1238,1239,1240,1241,1243,1246,1253,1254,1255,1256,1258,1259,1270,1271,
1274,1275,1276,1283,1295,1297,1299,1301,1307,1310,1311,1312,1314,1316,1318,
1322,1323,1325,1326,1352,1353,1354,1358,1360,1363,1367,1368,1369,1377,1378,
1381,1383,1384,1389,1391,1393,1395,1399,1400,1413,1415,1418,1420,1460,1461,
1462,1463,1464,1468,1469,1471,1473,1474,1479,1495,1499,1500,1501,1502,1503,
1511,1513,1518,1521,1523,1524,1529,1532,1536,1537,1538,1545,1546,1549,1550,
1559,1561,1562,1564,1568,1569,1570,1571,1572,1573,1589,1590,1591,1592,1593,
1594,1595,1596,1597,1601,1602,1603,1606,1607,1608,1609,1610,1611,1618,1622,
1623,1626,1629,1630,1633,1638,1639,1640,1647,1648,1649,1650,1654,1655,1660,
1663,1666,1667,1673,1674,1676,1678,1682,1687,1693,1694,1695,1698,1701,1702,
1707,1708,1709,1717,1720,1725,1726,1738,1740,1743,1745,1746,1756,1758,1759,
1776,1778,1784,1785,1787,1791,1803,1820,1821,1842,1845,1850,1851,1852,1856,
1857,1858,1859,1860,1863,1866,1870,1871,1878,1879,1882,1883,1886,1887,1891,
1894,1899,1900,1902,1906,1908,1909,1910,1912,1913,1915,1916,1920,1921,1923,
1924,1925,1926,1930,1931,1932,1936,1942,1948,1949,1950,1954,1955,1957,1958,
1959,1969,1972,1973,1974,1975,1976,1980,1981,1982,1983,1987,1993,1998,2000,
2018,2021,2022,2032,2034,2037,2048,2051,2052,2053,2058,2059,2062,2063,2066,
2067,2068,2069,2070,2072,2076,2078,2083,2084,2087,2088,2090,2092,2095,2097,
2101,2105,2117,2119,2120,2121,2122,2123,2125,2128,2136,2147,2149,2150,2153,
2154,2155,2157,2160,2163,2166,2169,2176,2177,2179,2183,2184,2185,2190,2193,
2196,2197,2198,2211,2215,2218,2220,2221,2222,2224,2226,2229,2236,2238,2239,
2240,2242,2247,2252,2255,2259],[1,2,3,5,6,8,9,10,11,12,13,14,15,17,19,20,21,
22,23,25,26,27,29,30,31,32,35,38,39,40,44,46,47,51,53,55,56,59,60,62,64,65,67,
68,69,71,72,75,76,77,78,80,81,82,84,85,86,88,89,90,91,92,95,96,97,100,101,102,
104,108,111,114,115,116,118,119,120,121,122,123,125,127,130,133,138,141,143,
146,149,150,151,156,158,164,169,171,176,178,181,185,187,194,198,200,203,204,
205,207,212,215,216,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,241,242,243,245,249,251,256,263,264,265,266,269,271,272,
273,274,275,277,279,280,281,283,285,286,287,288,289,290,291,292,293,295,297,
298,299,302,310,313,316,318,319,321,324,329,333,336,337,345,347,348,364,369,
371,374,375,378,379,380,382,384,392,394,400,402,405,408,412,417,419,421,422,
423,425,430,433,436,440,442,447,450,453,456,460,463,467,470,474,475,484,490,
494,495,497,499,500,501,504,505,508,514,516,519,523,527,531,534,539,543,546,
553,558,562,573,583,587,593,606,608,609,610,611,614,616,617,618,621,622,623,
624,626,627,631,633,638,642,643,644,645,647,648,650,651,652,653,655,656,658,
661,662,663,665,669,670,683,686,687,688,689,691,692,693,694,699,700,703,705,
707,709,712,714,718,719,727,728,734,738,741,742,743,744,746,751,754,761,762,
764,767,771,774,776,778,782,786,788,789,790,791,793,799,801,811,813,814,815,
816,820,824,827,830,832,836,837,846,853,855,856,857,858,860,864,866,872,875,
877,880,882,883,885,887,890,892,893,898,899,909,912,921,930,939,940,950,952,
954,974,976,984,985,986,994,998,1004,1010,1011,1013,1017,1028,1037,1041,1045,
1049,1050,1051,1058,1059,1062,1065,1067,1072,1107,1110,1111,1113,1132,1137,
1152,1153,1154,1155,1158,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1174,1175,1176,1177,1178,1180,1181,1184,1185,1188,1195,1197,1199,
1200,1202,1205,1210,1211,1212,1214,1216,1221,1223,1225,1240,1241,1248,1251,
1252,1253,1254,1256,1257,1258,1259,1262,1263,1264,1266,1272,1275,1276,1287,
1291,1293,1295,1296,1297,1303,1305,1307,1308,1311,1312,1314,1315,1316,1318,
1322,1323,1325,1334,1335,1345,1350,1351,1357,1366,1378,1379,1381,1383,1389,
1391,1395,1429,1431,1439,1442,1444,1451,1452,1456,1473,1474,1492,1493,1497,
1501,1502,1503,1513,1518,1521,1523,1524,1545,1546,1559,1561,1562,1564,1618,
1620,1627,1628,1629,1633,1634,1635,1636,1638,1643,1645,1649,1650,1651,1653,
1654,1655,1656,1660,1662,1665,1666,1667,1668,1671,1674,1675,1676,1680,1707,
1713,1714,1715,1716,1717,1721,1722,1726,1727,1745,1746,1758,1759,1767,1769,
1771,1781,1782,1810,1817,1818,1827,1829,1837,1841,1847,1856,1900,1901,1902,
1903,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,
1923,1924,1925,1930,1931,1938,1940,1943,1944,1945,1946,1947,1949,1950,1963,
1968,1978,1980,1983,1991,1992,1993,1999,2000,2002,2008,2009,2012,2017,2056,
2059,2064,2066,2067,2068,2073,2074,2078,2079,2082,2083,2084,2091,2106,2107,
2128,2133,2146,2147,2148,2149,2153,2156,2157,2158,2159,2160,2162,2163,2164,
2171,2175,2183,2184,2187,2191,2194,2196,2200,2204,2205,2219,2220,2221,2224,
2225,2229,2233,2236,2237,2241,2244,2250,2255,2256,2260],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,
358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,
396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,
415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,
434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,
453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,
586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,
605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,
624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,
662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,
719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,
738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,
814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,
852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,
871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,
890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,
909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,
928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,
947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,
966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,
985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,
1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,
1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,
1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,
1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,
1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,
1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,
1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,
1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,
1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,
1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,
1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,
1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,
1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,
1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,
1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,
1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,
1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,
1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,
1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,
1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,
1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,
1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,
1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,
1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,
1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,
1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,
1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,
1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,
1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,
1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,
1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,
1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,
1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,
1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,
1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,
1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,
1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,
1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,
1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,
1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,
1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,
1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,
1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,
1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,
1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,
1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,
1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,
1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,
1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,
1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,
1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,
1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,
1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,
1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,
1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,
1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,
1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,
2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,
2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,
2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,
2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,
2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,
2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,
2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,
2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,
2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,
2158,2159,2160,2161,2162,2163,2164,2165,2166,2167,2168,2169,2170,2171,2172,
2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,
2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,
2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,
2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,
2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,
2248,2249,2250,2251,2252,2253,2254,2255,2256,2257,2258,2259,2260,2261]],
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],[1,1,2,1],[1,3,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,3,
1],[1,3,1],[1,3,1],[1,1,2,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,2,1,
1],[1,2,1,1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,2,1,1],[1,3,1],[1,1,2,1],[1,
1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[
1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,7,
3,4,1],[1,3,4,1,2,4,1],[1,4,3,1,6,1],[1,4,3,1,2,4,1],[1,4,3,1,6,1],[1,2,2,1,2,
1,1,1,4,1],[1,1,3,3,1,3,3,1],[1,4,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,4,1,2,1,2,1,
1,2,1],[1,3,1,3,1,3,3,1],[1,1,3,2,1,1,1,2,1,2,1],[1,4,1,2,1,1,2,1,2,1],[1,7,1,
6,1],[1,1,2,4,1,2,4,1],[1,4,3,1,4,2,1],[1,2,2,1,2,1,1,1,4,1],[1,4,1,2,1,2,2,2,
1],[1,4,1,2,1,2,4,1],[1,6,1,4,3,1],[1,2,4,1,4,1,2,1],[1,3,3,1,1,3,3,1],[1,6,1,
4,3,1],[1,6,1,2,2,1,2,1],[1,2,4,1,4,1,2,1],[1,2,4,1,4,2,1,1],[1,1,5,1,2,2,1,1,
1,1],[1,1,5,1,1,1,2,2,1,1],[1,6,1,1,3,1,2,1],[1,3,3,1,1,3,3,1],[1,1,1,4,1,2,2,
1,2,1],[1,2,3,2,1,1,1,4,1],[1,2,5,1,1,1,4,1],[1,2,1,4,1,1,1,2,2,1],[1,2,1,2,2,
1,1,1,4,1],[1,2,5,1,2,4,1],[1,2,1,4,1,2,4,1],[1,1,1,2,3,1,2,1,2,1,1],[1,3,4,1,
6,1],[1,1,6,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,4,1,1,2,1,2,1],[1,3,4,3,1,3,
1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,2,1,1,3,1,2,1,1,2,1],[1,3,3,1,1,3,3,1],[1,3,1,
3,1,2,1,2,1,1],[1,1,2,2,2,1,1,2,1,2,1],[1,3,3,1,1,3,3,1],[1,1,6,1,3,3,1],[1,1,
4,2,2,1,1,2,1,1],[1,5,1,1,2,1,2,1,1,1],[1,2,3,1,1,2,1,2,1,1,1],[1,1,4,2,1,1,1,
1,2,1,1],[1,5,1,1,1,1,1,1,1,1,1,1],[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],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,
3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,
1,1],[1,2,2,1,1,1,1,1],[1,4,1,2,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,1,1,
1],[1,2,2,1,1,1,1,1],[1,4,1,2,1,1],[1,2,2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,2,
1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,1,4,2,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,
1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,1,2,1],[1,3,1,2,
1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,
1],[1,1,2,1,1,1,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,1,1,1],[
1,2,1,1,2,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,2,1],[1,
2,1,1,2,1],[1,2,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,2,1,1,2,1],[1,1,1,
1,1,1,1,1],[1,3,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,
1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,1,1,1,1,2,1],[1,3,1,2,1],[1,1,
2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,
1],[1,1,3,1],[1,1,3,1],[1,1,1,1,1,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,1],[1,1,3,
1],[1,1,3,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[
1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,2,1,1],[
1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,
1],[1,3,4,1,3,1,1,1,1],[1,6,1,1,3,2,1,1],[1,6,1,1,3,2,1,1],[1,1,6,1,3,2,1,1],[
1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,
1,1,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,12,1,18,16,3,12,1],[1,7,8,3,4,4,24,1,
6,8,1],[1,4,8,3,16,1,6,12,1,2,12,1],[1,12,3,4,12,1,6,12,3,12,1],[1,6,6,1,2,4,
12,1,3,3,12,3,1,3,8,1],[1,3,9,3,1,3,3,9,1,9,9,3,3,9,1],[1,3,9,3,1,1,6,9,3,3,9,
3,1,3,3,2,6,1],[1,1,11,2,1,1,3,8,5,2,1,2,3,1,6,1,2,1,2,1,1,2,2,2,2,2,1],[1,2,
10,1,2,1,2,6,8,1,2,2,4,4,2,1,2,1,1,2,2,1,2,2,2,2,1],[1,12,3,16,1,12,6,3,4,8,
1],[1,2,2,8,1,2,8,8,1,1,4,1,4,8,1,2,2,2,8,1],[1,6,9,1,3,15,4,12,1,3,3,8,1],[1,
2,4,3,2,4,1,1,2,6,1,8,4,4,8,1,1,2,1,2,8,1],[1,6,9,2,3,3,9,18,6,9,1],[1,6,3,6,
2,3,1,2,6,3,6,12,6,3,6,1],[1,6,9,1,1,12,6,15,1,3,3,2,6,1],[1,4,2,1,2,6,1,1,2,
1,1,8,2,4,1,2,4,8,1,1,2,1,2,2,2,4,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,1,1,2,2,1,8,
1],[1,6,1,6,2,3,4,1,3,12,12,1,3,3,8,1],[1,6,3,6,1,6,1,3,6,6,6,6,1,3,3,2,6,1],[
1,2,8,5,8,1,1,1,8,4,8,4,2,2,2,1,8,1],[1,10,3,2,4,4,1,1,4,4,1,4,8,4,2,2,2,1,8,
1],[1,2,8,1,4,4,4,1,1,1,3,1,6,8,2,2,2,2,1,1,2,1,2,2,4,1],[1,10,3,2,1,2,6,1,4,
2,2,4,6,1,6,1,2,1,1,2,2,2,4,1],[1,4,6,3,2,1,8,1,3,2,1,8,4,3,4,1,2,1,1,2,2,2,4,
1],[1,2,8,1,4,1,2,2,4,1,1,2,1,4,8,2,5,2,2,1,1,1,2,2,2,4,1],[1,1,9,2,3,1,1,4,3,
1,2,3,1,5,3,4,1,2,4,1,1,1,1,1,1,1,1,1,1,1,2,2,1],[1,2,13,1,5,1,16,12,2,2,1,2,
8,1],[1,2,3,2,8,1,1,4,1,8,8,4,8,2,2,1,2,8,1],[1,4,11,1,2,6,10,16,1,2,4,4,4,
1],[1,2,2,1,4,6,1,1,1,1,1,4,2,8,2,2,8,4,1,1,1,4,2,2,2,2,1],[1,8,3,4,4,2,1,2,2,
8,4,4,8,1,4,2,4,4,1],[1,2,6,5,2,4,1,1,1,1,2,1,4,8,4,8,1,4,1,1,2,2,2,2,1],[1,1,
7,2,5,1,2,1,2,1,2,2,5,5,2,1,5,6,1,1,1,2,2,2,2,2,2,1],[1,7,3,4,4,1,6,1],[1,3,4,
1,2,4,2,2,1,1,1,4,1],[1,2,5,1,1,1,4,2,2,1,1,1,4,1],[1,2,3,2,1,1,1,4,2,2,1,1,1,
4,1],[1,2,3,2,1,1,1,4,2,2,1,1,1,4,1],[1,4,3,1,6,4,1,2,4,1],[1,4,3,1,6,2,2,1,1,
1,4,1],[1,2,2,1,2,1,1,1,4,2,2,1,2,1,1,2,1],[1,4,3,1,6,4,1,6,1],[1,2,2,1,2,1,1,
1,4,2,2,1,1,1,4,1],[1,4,3,1,4,2,4,1,4,2,1],[1,2,2,1,2,1,1,1,4,4,1,2,2,2,1],[1,
4,1,2,1,2,4,1,2,1,1,2,2,1,1,1],[1,4,3,1,4,2,4,1,2,4,1],[1,2,2,1,2,1,1,1,4,4,1,
2,4,1],[1,2,2,1,2,1,1,1,4,4,1,2,4,1],[1,3,4,1,6,4,1,2,4,1],[1,1,6,3,4,1,3,1,3,
3,1],[1,3,4,1,6,4,1,6,1],[1,4,3,1,4,2,4,1,2,4,1],[1,2,2,1,2,1,1,1,4,4,1,2,4,
1],[1,2,5,1,1,1,4,4,1,2,2,2,1],[1,2,3,2,1,1,1,4,2,2,1,1,1,2,2,1],[1,2,1,2,2,1,
1,1,4,2,2,1,2,2,1,1,1],[1,4,3,1,3,3,2,2,1,1,1,4,1],[1,4,1,2,1,2,1,1,2,1,1,2,1,
1,1,2,2,1],[1,6,1,4,3,1,3,1,3,3,1],[1,2,4,1,4,1,2,2,2,1,1,1,2,2,1],[1,2,4,1,4,
2,1,1,2,1,1,1,1,2,2,1],[1,2,5,1,1,1,4,4,1,2,2,2,1],[1,2,3,2,1,1,1,4,4,1,2,2,2,
1],[1,7,3,4,4,1,2,4,1],[1,3,4,1,2,4,2,2,1,1,1,4,1],[1,2,5,1,1,1,4,2,2,1,1,1,4,
1],[1,2,1,2,2,1,1,1,4,2,2,1,1,1,4,1],[1,2,1,4,1,1,1,2,2,1,1,2,1,1,1,2,2,1],[1,
3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,1,2,1,1,2,3,1,1,1,2,2,1],[1,3,1,2,2,2,1,1,1,4,
1],[1,1,2,1,3,3,3,1,3,1],[1,2,1,1,2,4,1,2,4,1],[1,2,1,1,1,2,3,1,1,1,2,2,1],[1,
2,1,1,1,3,2,1,1,1,1,2,1,1],[1,3,1,2,4,1,2,4,1],[1,3,1,6,3,1],[1,3,1,2,4,1,2,
1],[1,3,1,4,2,1,2,1],[1,3,1,4,2,1,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,1,1,2,
2,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,1,1],[1,3,1,4,2,1,2,1],[1,3,1,2,2,2,1,1,1,1],[
1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,2,1,1,2,4,
1,2,1],[1,2,1,1,2,4,1,2,1],[1,2,1,1,1,1,2,2,1,1,1,1],[1,2,1,1,1,1,2,2,1,1,1,
1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,4,2,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,4,2,
1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,2,1,1,2,2,2,1,1,1,1],[1,2,1,1,2,2,2,1,1,1,1],[
1,2,1,1,2,2,2,1,1,1,1],[1,7,1,6,4,1,2,1],[1,1,2,4,1,2,4,2,2,1,1,1,1],[1,2,5,1,
1,1,4,2,2,1,1,1,1],[1,2,1,2,2,1,1,1,4,2,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,2,2,1,1,
1,1],[1,7,1,6,4,1,2,1],[1,2,3,2,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,
3,2,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,3,2,1,1,1,4,4,1,2,1],[1,2,1,
4,1,1,1,2,2,2,2,1,1,1,1],[1,4,3,1,2,4,2,2,1,1,1,1],[1,4,3,1,2,4,2,2,1,1,1,1],[
1,4,3,1,2,4,2,2,1,1,1,1],[1,2,3,2,1,1,1,4,4,1,2,1],[1,2,3,2,1,1,1,4,4,1,2,1],[
1,2,5,1,1,1,4,4,1,2,1],[1,2,5,1,2,4,2,2,1,1,1,1],[1,2,1,4,1,2,4,2,2,1,1,1,1],[
1,2,1,4,1,2,4,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,3,2,1,1,1,2,1,2,2,
2,1,1,1,1],[1,4,1,2,1,1,2,1,2,2,2,1,1,1,1],[1,4,3,1,6,4,1,2,1],[1,4,3,1,2,4,4,
1,2,1],[1,4,3,1,6,2,2,1,1,1,1],[1,4,3,1,2,4,4,1,2,1],[1,7,3,4,4,1,2,1],[1,3,4,
1,2,4,2,2,1,1,1,1],[1,2,5,1,1,1,4,2,2,1,1,1,1],[1,2,3,2,1,1,1,4,2,2,1,1,1,1],[
1,2,3,2,1,1,1,4,2,2,1,1,1,1],[1,4,3,1,2,4,4,1,2,1],[1,4,3,1,2,4,2,2,1,1,1,1],[
1,4,3,1,6,4,1,2,1],[1,4,3,1,2,4,4,1,2,1],[1,2,2,1,2,1,1,1,4,2,2,1,1,1,1],[1,1,
3,3,1,3,3,2,2,1,1,1,1],[1,4,1,2,1,2,1,1,2,2,2,1,1,1,1],[1,4,1,2,1,2,1,1,2,2,2,
1,1,1,1],[1,4,3,1,3,3,2,2,1,1,1,1],[1,2,3,2,1,1,1,4,4,1,2,1],[1,2,3,2,1,1,1,4,
4,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,3,4,1,2,4,2,2,1,1,1,1],[1,3,4,1,2,4,2,2,1,
1,1,1],[1,7,3,4,2,2,1,1,1,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,3,2,1,1,1,4,4,1,2,
1],[1,7,1,6,2,2,1,1,1,1],[1,1,2,4,1,2,4,2,2,1,1,1,1],[1,4,3,1,4,2,4,1,2,1],[1,
2,2,1,2,1,1,1,4,4,1,2,1],[1,4,1,2,1,2,2,2,2,2,1,1,1,1],[1,2,2,1,2,1,1,1,4,4,1,
2,1],[1,2,2,1,2,1,1,1,4,4,1,2,1],[1,4,3,1,4,2,4,1,2,1],[1,2,4,1,4,2,1,2,2,1,1,
1,1],[1,6,1,4,3,2,2,1,1,1,1],[1,2,4,1,4,1,2,2,2,1,1,1,1],[1,6,1,1,3,1,2,2,2,1,
1,1,1],[1,3,3,1,1,3,3,2,2,1,1,1,1],[1,1,5,1,1,1,2,2,1,2,2,1,1,1,1],[1,3,4,1,6,
4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,1,6,3,4,2,2,1,1,1,1],[1,4,3,1,4,2,2,2,1,1,1,
1],[1,4,1,2,1,2,2,2,2,2,1,1,1,1],[1,4,1,2,1,2,4,2,2,1,1,1,1],[1,2,4,1,4,1,2,2,
2,1,1,1,1],[1,6,1,2,2,1,2,2,2,1,1,1,1],[1,6,1,2,2,1,2,2,2,1,1,1,1],[1,2,4,1,4,
1,2,4,1,2,1],[1,1,5,1,2,2,1,1,1,2,2,1,1,1,1],[1,2,5,1,2,4,4,1,2,1],[1,7,1,6,4,
1,2,1],[1,2,3,2,4,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,2,7,2,1,3,1,4,4,2,1,1,2,2,1,
1],[1,2,5,4,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,2,3,2,4,1,1,2,1,4,4,1,1,1,1,1,1,1,1,
1,1],[1,4,7,3,2,4,4,2,1,1,4,1,1],[1,4,3,4,1,2,2,4,4,2,1,1,4,1,1],[1,2,4,5,1,1,
1,6,4,2,1,1,2,2,1,1],[1,4,2,3,2,1,1,6,1,4,2,1,1,2,2,1,1],[1,2,4,3,2,1,1,6,1,4,
2,1,1,2,2,1,1],[1,2,4,1,2,2,1,1,2,1,4,4,1,1,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,1,4,
2,4,2,1,1,2,2,1,1],[1,2,2,2,1,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1],[1,2,4,3,
2,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,6,1,2,2,1,1,3,4,4,2,1,1,2,2,1,1],[1,4,4,3,1,6,
2,4,2,1,1,4,1,1],[1,4,4,3,1,2,6,4,2,1,1,4,1,1],[1,4,2,3,2,1,1,4,1,2,4,1,1,1,1,
1,1,1,1,1,1],[1,4,2,3,2,1,1,6,1,4,2,1,1,1,1,1,1,1,1],[1,2,2,2,1,2,2,1,1,1,1,1,
4,4,1,1,1,1,1,1,1,1,1,1],[1,2,4,1,2,2,1,1,2,1,4,4,1,1,1,1,1,1,1,1,1,1],[1,6,3,
2,1,1,7,4,1,1,1,1,1,1,1,1,1,1],[1,2,4,5,4,1,2,2,4,2,1,1,4,1,1],[1,6,1,4,2,2,1,
2,2,4,1,1,1,1,2,2,1,1],[1,2,4,3,2,4,1,1,2,1,4,2,1,1,2,2,1,1],[1,6,3,2,4,1,1,3,
4,2,1,1,2,2,1,1],[1,2,4,5,4,1,1,1,2,4,2,1,1,2,2,1,1],[1,2,4,1,2,2,4,1,1,2,1,4,
1,1,1,1,1,1,1,1,1,1],[1,2,4,1,2,2,4,1,1,1,2,4,1,1,1,1,1,1,1,1,1,1],[1,4,4,3,4,
1,6,2,2,1,1,2,2,1,1],[1,8,3,4,1,4,4,2,1,1,2,2,1,1],[1,6,2,1,2,2,2,1,1,1,2,4,2,
1,1,2,2,1,1],[1,1,3,4,3,2,2,1,3,3,2,2,1,1,2,2,1,1],[1,2,4,1,4,4,2,1,2,4,2,1,1,
4,1,1],[1,6,1,4,4,3,2,4,2,1,1,4,1,1],[1,2,4,5,4,1,2,2,4,2,1,1,4,1,1],[1,3,3,2,
3,1,3,3,2,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,2,2,1,1,2,1,2,1,1,2,1,1,1,1,
1,1,1,1,1,1],[1,5,2,1,1,2,2,1,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,2,3,
1,1,2,1,3,1,1,1,1,1,1,1,1,1,1],[1,4,7,3,6,4,2,1,1,4,1,1],[1,4,3,4,1,2,6,4,2,1,
1,4,1,1],[1,4,3,4,1,2,6,4,2,1,1,4,1,1],[1,2,2,3,4,1,2,1,1,4,4,1,1,1,1,1,1,1,1,
1,1],[1,4,3,4,1,2,2,4,4,2,1,1,4,1,1],[1,4,7,3,2,4,4,2,1,1,4,1,1],[1,4,3,4,1,2,
2,4,4,2,1,1,4,1,1],[1,2,3,1,1,4,2,1,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1],[1,5,1,
1,4,2,1,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,2,1,1,1,2,3,3,1,1,1,1,1,1,
1,1,1,1],[1,4,3,4,1,6,4,2,2,1,1,4,1,1],[1,4,1,6,3,4,2,4,1,1,1,1,2,2,1,1],[1,2,
2,1,6,3,4,1,1,4,2,1,1,2,2,1,1],[1,4,3,4,1,6,2,4,2,1,1,2,2,1,1],[1,4,1,6,3,4,2,
2,2,2,1,1,4,1,1],[1,2,5,4,1,6,1,1,4,2,1,1,2,2,1,1],[1,2,3,6,3,4,1,1,4,2,1,1,2,
2,1,1],[1,2,3,4,2,1,6,1,1,4,1,1,1,1,1,1,1,1,1,1],[1,2,1,6,2,3,4,1,1,4,2,1,1,2,
2,1,1],[1,2,1,8,3,4,1,1,2,2,2,1,1,2,2,1,1],[1,4,7,1,4,2,6,2,1,1,4,1,1],[1,2,2,
1,2,4,1,1,1,4,2,4,2,1,1,2,2,1,1],[1,4,3,4,1,4,2,2,4,2,1,1,2,2,1,1],[1,2,2,5,2,
1,1,1,4,2,4,2,1,1,2,2,1,1],[1,2,2,1,2,4,1,1,1,4,2,4,2,1,1,2,2,1,1],[1,2,8,1,8,
1,4,2,2,4,1,1],[1,6,4,1,4,4,2,3,1,1,1,1,2,2,1,1],[1,2,2,6,1,4,4,1,3,1,1,1,1,1,
1,1,1,1,1,1],[1,2,4,4,1,4,4,1,2,2,2,1,1,4,1,1],[1,10,1,2,2,4,3,2,2,1,1,4,1,
1],[1,6,4,1,2,2,4,2,1,2,2,1,1,4,1,1],[1,10,1,1,3,4,3,2,2,1,1,2,2,1,1],[1,1,5,
4,1,1,1,2,2,2,2,1,2,2,1,1,2,2,1,1],[1,3,3,4,1,1,3,2,2,3,2,2,1,1,2,2,1,1],[1,8,
3,1,8,4,2,2,4,1,1],[1,4,4,1,2,1,2,2,2,2,4,2,1,1,4,1,1],[1,3,8,1,4,8,2,2,4,1,
1],[1,7,4,3,2,4,4,2,1,1,4,1,1],[1,7,4,1,6,6,2,1,1,4,1,1],[1,3,4,4,1,6,2,4,2,1,
1,2,2,1,1],[1,1,6,4,3,4,2,4,2,1,1,4,1,1],[1,2,3,2,4,1,1,2,1,4,4,2,1,1,2,2,1,
1],[1,2,7,2,1,3,1,4,4,2,1,1,2,2,1,1],[1,2,5,4,1,1,2,1,4,4,2,1,1,2,2,1,1],[1,2,
5,4,1,2,6,4,2,1,1,2,2,1,1],[1,2,3,6,1,1,7,4,1,1,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,
1,4,2,4,2,1,1,2,2,1,1],[1,4,2,1,2,2,1,1,2,1,2,2,4,2,1,1,2,2,1,1],[1,2,4,1,4,1,
1,1,2,4,2,2,2,1,1,2,2,1,1],[1,4,7,1,4,2,6,2,1,1,4,1,1],[1,4,1,2,4,1,2,4,2,4,2,
1,1,4,1,1],[1,4,1,2,4,1,2,2,2,2,4,1,1,1,1,2,2,1,1],[1,3,2,1,3,2,1,1,2,1,2,1,2,
1,2,1,1,1,1,1,1,1,1,1,1],[1,3,2,3,1,2,1,1,3,2,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,3,
2,4,2,1,3,1,2,1,3,2,1,1,1,1,1,1,1,1,1,1],[1,2,3,3,3,1,1,2,3,1,3,2,1,1,1,1,1,1,
1,1,1,1],[1,2,2,4,1,2,4,1,1,2,1,4,2,1,1,2,2,1,1],[1,4,4,3,4,1,4,2,2,2,1,1,2,2,
1,1],[1,2,6,1,2,4,1,1,3,4,2,1,1,2,2,1,1],[1,2,6,1,2,4,1,3,1,4,1,1,1,1,1,1,1,1,
1,1],[1,2,6,1,2,4,1,1,3,4,1,1,1,1,1,1,1,1,1,1],[1,2,8,1,4,4,1,4,2,1,1,2,2,1,
1],[1,1,5,4,1,2,2,2,2,1,1,1,2,2,1,1,2,2,1,1],[1,4,4,3,4,1,6,2,2,1,1,2,2,1,1],[
1,6,2,1,2,4,1,1,3,4,2,1,1,2,2,1,1],[1,2,6,1,2,4,1,3,1,4,2,1,1,2,2,1,1],[1,2,6,
3,4,1,7,1,1,1,1,1,1,1,1,1,1,1],[1,2,2,4,1,2,4,1,1,2,1,4,1,1,1,1,1,1,1,1,1,1],[
1,8,1,2,1,4,2,3,1,2,2,1,1,2,2,1,1],[1,4,4,1,2,1,4,2,2,1,1,2,2,1,1,2,2,1,1],[1,
4,4,3,1,4,3,2,3,2,1,1,2,2,1,1],[1,1,3,4,2,1,1,2,2,1,2,2,1,2,2,1,1,2,2,1,1],[1,
1,3,4,3,1,2,2,3,2,3,2,1,1,2,2,1,1],[1,8,1,2,1,4,3,2,1,2,2,1,1,2,2,1,1],[1,5,3,
3,1,1,3,5,3,1,1,1,1,1,1,1,1,1,1],[1,7,4,1,6,6,2,1,1,2,2,1,1],[1,3,2,6,1,1,7,4,
1,1,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,1,1,2,3,3,2,1,1,1,1,1,1,1,1,1,1],[1,3,1,3,4,
1,1,2,1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,3,1,4,1,1,3,1,2,3,2,1,1,1,1,1,1,1,
1,1,1],[1,3,5,3,1,1,3,3,5,1,1,1,1,1,1,1,1,1,1],[1,6,1,3,1,3,3,3,1,1],[1,2,4,1,
2,1,1,2,1,1,1,1,1,1,1,1,1],[1,2,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,
1,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,4,1,
1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,2,1,1,1,
1,1,1,1,1,1,1],[1,2,2,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,4,1,2,1,2,3,1,2,1,1,1,
1,1,1],[1,2,2,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,2,1,1,1,1,1,1,
1,1,1],[1,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,3,1,2,2,2,2,1,1,1,1,1,1],[
1,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,3,1,2,4,1,2,1,2,1,1],[1,2,2,1,2,1,1,1,
1,1,2,1,1,1,1,1,1,1,1],[1,4,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,
1,2,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,1,
2,1,1,1,1,1,1,1,1],[1,4,3,1,2,2,2,1,2,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,3,1,1,1,1,
1,1,1,1],[1,2,1,4,1,2,2,2,2,1,1,2,1,1],[1,2,3,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,
2,4,1,1,2,4,2,1,1,2,1,1],[1,3,4,1,2,2,2,1,2,1,2,1,1],[1,3,2,2,1,1,1,1,3,1,1,1,
1,1,1,1,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,2,1,1,2,1,2,1],[1,1,4,2,3,1,1,1,
1],[1,4,1,2,1,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,4,1,4,2,2,1,1,1,1,1],[1,9,1,3,3,
9,1,1],[1,9,1,3,3,9,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,3,1,1,3,1],[1,1,10,5,1,2,1,1],[1,1,5,5,5,1,1,1,1,1],[
1,5,5,1,1,1],[1,5,5,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,
6,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,
3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,
1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,
3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,
3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,
6,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,
3,1,3,4,1,3,3,4,1,1,1],[1,7,4,3,4,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,6,1,4,4,3,
4,1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,7,4,1,6,4,1,1,
1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,
1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,
1,6,4,1,3,3,4,1,1,1],[1,9,3,3,1,1,9,9,3,1,3,3,1,3,3,1],[1,9,3,3,1,1,9,9,3,1,3,
3,1,3,3,1],[1,3,9,3,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,3,8,3,1,4,6,3,6,1,1,2,1,2,3,
1,1,2,1,2,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,1,3,8,1,1,3,6,3,6,1,1,2,1,
2,3,1,1,2,1,2,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,
1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,3,3,1,3,4,1,1,1,3,1,1,1,1],[1,6,1,
6,1,3,3,1,2,2,1,3,1,1,1,1],[1,6,1,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,1,6,6,1,3,3,1,
2,2,1,3,1,1,1,1],[1,6,3,1,1,3,3,2,3,3,1,1,1,1],[1,6,1,2,1,1,3,3,2,1,2,3,1,1,1,
1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,
2,3,3,1,1,1,1],[1,1,6,2,1,3,1,3,2,1,2,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,
3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,6,6,2,2,1],[1,5,
1,1,5,1,1,1],[1,6,25,5,15,15,60,60,10,20,15,30,60,20,1,15,15,1],[1,10,21,2,3,
9,39,36,66,3,7,14,6,15,30,32,48,3,1,12,3,12,1],[1,6,4,3,6,12,2,3,1,2,6,6,6,3,
24,12,24,6,12,24,24,3,1,6,6,8,6,3,6,6,6,24,8,24,24,24,3,1,12,3,12,1],[1,6,12,
9,4,2,24,3,6,3,9,12,6,24,24,18,24,1,6,6,24,3,6,6,8,6,9,8,24,24,24,1,3,3,12,12,
1],[1,2,16,5,8,2,4,12,8,1,8,1,2,1,8,10,4,20,16,16,4,14,24,1,2,4,4,6,8,12,1,2,
6,2,4,4,4,4,1,10,4,16,12,4,8,4,16,16,1,1,2,1,2,2,2,8,2,2,8,1],[1,2,20,5,4,4,8,
24,16,1,2,1,1,12,8,6,16,8,24,4,4,16,4,4,8,8,2,4,2,8,8,8,16,2,1,4,4,4,8,12,12,
4,8,24,1,8,4,1,2,4,8,1,2,1],[1,4,18,3,6,1,3,6,18,24,3,1,3,6,9,3,18,24,12,3,9,
12,4,1,4,3,6,6,3,3,3,6,3,12,12,6,3,6,6,8,6,6,12,24,12,1,3,3,6,3,3,3,6,3,1],[1,
6,9,8,1,3,4,15,4,24,12,4,1,6,3,3,8,8,4,12,6,1,1,1,6,6,1],[1,2,4,7,2,8,1,3,4,6,
1,8,4,24,4,8,2,2,1,6,1,2,1,2,8,8,2,2,2,2,4,4,1,1,4,1,1,1,1,1,4,1,1,4,1],[1,8,
3,4,8,4,2,1,4,2,2,8,4,8,8,4,8,8,2,2,2,1,4,2,2,2,8,4,4,2,2,2,4,2,4,1,1,4,1,1,1,
1,1,1,4,1,4,1],[1,2,6,5,2,8,4,1,1,1,4,1,2,1,4,8,8,8,4,8,8,2,2,2,1,4,2,1,1,2,8,
2,2,2,2,2,2,2,4,2,4,1,1,4,1,1,1,1,1,1,4,1,4,1],[1,2,6,13,2,4,1,1,5,1,2,1,4,8,
16,12,8,2,2,2,1,4,2,1,1,2,8,2,2,2,2,2,2,2,4,2,4,1,1,4,1,1,1,1,1,1,4,1,4,1],[1,
2,12,5,4,16,1,6,1,1,12,6,8,4,8,4,1,3,2,4,8,2,1,8,4,4,8,4,2,1,1,1,2,4,2,4,1],[
1,2,2,10,1,6,2,8,8,3,4,1,1,5,1,4,16,12,1,2,1,1,1,4,2,2,8,3,8,1,1,2,1,1,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,2,2,1,1,2,2,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,8,4,
1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,2,16,5,8,16,1,1,1,
16,8,8,4,4,2,4,4,2,8,1,8,4,8,4,2,4,1,1,1,4,2,2,4,1],[1,2,8,8,1,4,4,4,8,8,1,1,
1,3,4,1,6,8,2,8,2,2,4,2,1,1,2,2,2,2,8,1,2,2,4,4,8,4,2,4,1,1,1,4,2,2,4,1],[1,2,
4,13,4,1,6,5,1,4,2,8,16,12,8,4,1,2,2,1,2,2,1,2,8,8,8,8,2,2,2,1,1,1,2,4,2,4,
1],[1,2,4,5,4,8,1,6,1,4,1,4,2,8,8,8,4,8,8,4,1,2,2,1,2,2,1,2,8,8,4,4,4,4,2,2,2,
1,1,1,2,2,2,2,2,2,1],[1,6,8,9,8,1,3,15,8,4,8,4,12,4,1,3,2,2,2,3,8,8,8,8,2,2,2,
1,1,1,2,2,4,4,1],[1,10,4,3,2,4,4,4,1,1,2,4,4,6,1,4,8,8,4,4,8,4,1,2,1,2,2,2,1,
2,8,8,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,1,1,3,1,2,
2,3,8,8,4,4,4,4,2,2,2,1,1,1,2,2,2,4,2,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,
4,8,8,2,2,1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,2,8,3,6,4,3,4,1,2,8,1,8,12,4,4,16,2,2,1,1,1,2,3,1,4,8,8,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,2,2,1,1,2,2,1,1,1],[1,2,8,13,8,1,5,1,8,4,8,16,12,4,2,2,2,2,2,1,
2,8,8,16,2,2,2,1,1,1,4,4,4,1],[1,10,3,2,8,4,4,1,1,4,4,4,1,4,8,8,8,4,8,2,2,2,2,
2,2,2,1,2,8,8,8,8,1,1,2,2,1,1,1,4,2,2,4,1],[1,4,8,11,8,1,2,6,8,4,8,10,16,2,2,
2,1,2,2,2,4,4,4,8,2,2,2,4,2,4,1,1,4,1,1,1,1,4,4,1,1,1,1],[1,2,8,2,1,4,6,4,4,1,
1,1,1,3,1,1,6,8,2,4,2,8,2,2,8,4,1,1,2,2,1,1,1,2,1,1,4,2,2,2,2,2,2,4,1,1,1,1,2,
2,2,2,2,2,1,1,2,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,2,6,4,5,2,4,4,1,1,1,2,1,2,6,1,4,
8,8,4,4,8,8,2,2,1,1,1,2,4,1,1,2,8,2,2,2,2,2,2,4,2,2,4,1,1,4,1,1,1,1,1,4,1,1,4,
1],[1,8,4,3,4,4,4,2,1,2,2,6,2,8,4,8,4,4,8,8,2,2,1,1,1,2,4,2,2,8,4,4,2,2,4,2,2,
4,1,1,4,1,1,1,1,1,4,1,1,4,1],[1,6,6,9,2,4,1,1,3,15,2,1,4,8,4,12,8,2,2,1,3,1,4,
1,3,8,2,2,2,2,2,2,4,2,2,4,1,1,4,1,1,1,1,1,4,1,1,4,1],[1,6,6,9,2,1,8,1,1,12,2,
1,8,4,6,15,4,2,2,1,3,2,1,1,2,3,2,6,2,2,4,1,1,1,1,2,2,2,2,4,1,1,4,1,1,1,1,1,1,
2,2,1,2,2,1],[1,10,2,3,2,6,1,2,6,1,1,4,2,1,2,4,6,8,2,4,1,6,4,8,1,1,2,1,1,2,2,
1,1,2,1,2,2,2,4,2,2,4,1,1,1,1,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,2,2,1,2,2,1],[1,
2,8,2,1,4,6,1,2,2,4,1,1,1,2,1,1,4,8,2,8,2,4,5,2,4,8,1,1,2,1,2,1,2,1,1,2,1,2,2,
2,4,2,2,4,1,1,1,1,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,2,2,1,2,2,1],[1,6,8,9,16,1,
3,15,12,4,12,4,1,3,2,12,3,8,8,4,4,2,4,1,1,1,2,4,2,4,1],[1,4,2,8,3,2,4,16,1,1,
2,6,12,1,8,4,4,8,2,2,1,1,2,2,12,1,2,8,4,4,2,2,2,2,1,1,4,1,1,1,1,1,4,1,1,4,1],[
1,6,8,3,2,4,4,12,1,1,2,8,3,16,4,4,8,2,2,1,1,4,1,3,8,1,2,8,2,2,2,2,2,2,2,2,2,1,
1,2,1,1,1,2,1,1,2,2,1,1,2,1],[1,6,8,9,1,16,1,12,12,6,15,4,1,2,3,12,3,2,6,4,12,
6,1,1,1,6,6,1],[1,8,6,1,2,6,1,4,12,1,2,3,3,16,2,4,1,2,4,8,2,2,3,1,2,1,3,8,1,2,
2,2,4,2,2,2,2,4,4,1,1,4,1,1,1,1,1,4,1,1,4,1],[1,2,4,5,12,1,18,16,1,1,4,2,8,4,
8,4,3,12,1,2,2,1,8,4,4,8,2,4,1,1,1,2,4,2,4,1],[1,6,3,14,1,18,16,1,3,6,6,6,6,4,
3,12,3,3,2,6,4,12,6,1,1,1,6,6,1],[1,6,3,12,2,1,18,16,1,3,12,12,1,3,3,12,3,3,8,
1,3,3,3,6,3,3,1,1,1,3,3,3,3,1],[1,12,6,3,2,16,12,1,1,12,3,6,12,1,3,3,3,4,8,3,
8,1,3,3,6,3,3,3,1,1,1,3,3,3,3,1],[1,2,6,10,1,2,2,8,4,16,1,1,1,5,3,4,12,8,1,2,
1,3,1,2,1,2,4,8,8,1,1,2,2,1,2,2,2,1,2,1,1,2,2,1,1,1,1,2,1,2,1,2,1,2,1],[1,4,2,
12,3,2,20,8,1,1,6,14,1,4,8,2,2,1,2,1,2,13,2,8,1,1,2,1,2,2,4,1,2,1,1,2,2,1,1,1,
1,2,1,2,1,2,1,2,1],[1,4,6,8,3,2,1,8,8,8,1,3,2,4,1,8,4,8,3,4,4,1,2,1,2,1,2,2,2,
8,2,2,4,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,18,3,2,1,2,6,16,1,12,2,6,4,6,1,6,4,1,2,
3,4,8,1,2,2,2,4,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,2,8,8,1,4,1,2,2,4,8,8,1,1,2,4,1,
4,8,2,8,5,2,4,2,1,1,2,1,2,2,2,8,2,2,4,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,2,13,8,1,
5,4,1,16,24,12,4,2,6,2,1,2,8,8,4,8,4,2,4,1,1,1,2,2,4,4,1],[1,2,7,2,12,1,3,6,1,
4,28,8,4,8,2,2,1,7,2,1,2,8,8,2,2,4,4,2,2,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,4,4,11,
4,1,6,2,6,4,2,8,10,16,8,2,2,1,1,1,2,2,2,4,4,4,8,2,2,2,2,4,4,1,1,4,1,1,1,1,1,1,
1,4,4,1],[1,2,6,1,8,6,3,4,1,1,1,3,4,12,2,8,2,2,16,4,2,2,1,1,3,1,3,4,2,2,2,2,8,
2,2,2,2,4,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,6,2,3,6,6,1,6,1,1,3,1,6,6,4,2,8,6,6,
8,4,1,1,2,1,1,3,3,1,4,2,2,2,2,2,6,1,1,1,1,2,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,15,4,5,6,30,6,1,15,12,3,1,3,3,1],[1,6,9,4,2,3,6,3,9,18,6,1,6,9,6,
6,3,1,3,3,1],[1,6,3,10,2,5,4,1,2,6,3,6,12,2,4,1,6,3,6,2,4,2,4,1,2,1,1,2,1,2,
1],[1,6,4,9,2,3,3,9,4,2,18,2,4,6,1,9,2,2,4,4,2,1,1,2,1,1,2,1],[1,6,4,3,6,2,3,
1,2,6,2,3,4,6,12,2,4,6,1,3,6,2,2,4,4,2,1,1,2,1,1,2,1],[1,2,4,13,1,5,1,4,2,16,
12,6,2,2,1,1,2,8,2,2,8,3,1,2,1,1,2,1],[1,2,4,3,2,8,1,1,4,2,1,4,8,8,4,8,2,4,2,
2,1,1,2,8,2,2,8,1,2,1,2,1,1,2,1],[1,2,4,3,2,8,1,1,4,6,1,8,8,4,8,2,4,2,1,2,1,2,
8,8,2,2,2,1,1,1,2,1,2,1],[1,2,4,13,1,5,1,6,16,12,6,2,1,2,1,2,8,8,2,2,3,1,1,2,
1,2,1],[1,4,2,3,2,8,1,1,4,6,1,8,8,4,8,4,2,2,1,2,1,2,8,8,2,2,1,2,1,1,2,1,2,1],[
1,8,7,4,4,2,3,2,2,8,4,4,4,8,4,2,1,1,4,2,4,4,2,2,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,
2,6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,4,2,1,1,4,1,1,2,2,2,2,2,2,2,2,4,1,2,1,1,1,
1,1,1,1,1],[1,2,6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,4,2,1,1,4,1,1,2,2,2,2,2,2,2,
2,4,1,2,1,1,1,1,1,1,1,1],[1,4,4,11,1,2,6,4,2,10,16,4,2,1,1,2,4,4,4,2,2,2,2,4,
1,2,1,1,1,1,1,1,1,1],[1,2,6,1,4,6,1,1,1,1,3,4,4,2,8,2,2,8,4,2,2,2,1,1,1,1,4,2,
2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,13,4,1,5,1,2,16,12,2,4,2,2,1,1,
2,8,2,2,8,1,2,1,1,2,1,2,1],[1,2,4,3,2,8,4,1,1,4,2,1,8,8,4,8,2,4,2,2,1,1,2,8,2,
2,8,1,2,1,1,2,1,2,1],[1,6,3,2,8,4,1,1,4,3,8,8,4,8,2,4,2,2,1,1,2,8,2,2,8,1,2,1,
1,2,1,2,1],[1,2,8,5,4,8,1,1,2,1,8,4,8,4,4,2,4,1,2,2,2,1,8,2,4,2,4,2,1,1,1,1,1,
1,1,1,1],[1,10,3,2,4,4,4,1,1,2,4,4,1,4,8,4,4,2,4,1,2,2,2,1,8,2,4,2,4,2,1,1,1,
1,1,1,1,1,1],[1,10,7,2,4,4,1,3,4,4,1,4,8,4,4,2,4,1,2,2,2,1,8,2,4,2,4,2,1,1,1,
1,1,1,1,1,1],[1,7,12,1,18,16,6,6,3,12,1,12,3,1,3,3,1],[1,3,12,4,1,18,16,2,4,4,
2,3,12,1,2,2,8,1,2,1,1,2,1,2,1],[1,4,6,3,6,2,3,1,2,6,6,3,6,12,6,1,6,3,6,6,6,3,
1,3,3,1],[1,6,4,3,6,2,3,1,2,6,6,3,6,12,6,1,6,3,6,6,6,3,1,3,3,1],[1,6,4,9,2,3,
3,9,6,18,6,1,6,9,6,6,3,1,3,3,1],[1,4,12,3,4,12,1,6,6,12,6,1,3,12,12,3,1,3,3,
1],[1,12,4,3,4,12,1,6,6,12,6,3,1,12,12,3,1,3,3,1],[1,4,4,8,3,16,1,6,2,12,4,2,
4,1,1,2,12,4,8,1,2,1,1,2,1,2,1],[1,10,4,3,2,4,4,1,1,4,4,6,1,4,8,4,2,4,2,1,2,2,
1,8,2,2,8,2,1,1,2,1,1,2,1],[1,4,10,3,2,4,4,1,1,6,4,4,1,4,8,4,2,4,1,2,2,2,1,8,
2,2,8,2,1,1,2,1,1,2,1],[1,2,8,4,5,8,1,1,1,8,6,4,8,4,2,4,2,1,2,2,1,8,2,2,8,2,1,
1,2,1,1,2,1],[1,10,3,2,4,4,4,1,1,2,4,4,1,4,8,4,4,4,2,1,2,2,2,1,8,2,2,8,1,2,1,
1,2,1,2,1],[1,10,7,2,4,4,1,3,4,4,1,4,8,4,4,6,1,2,2,2,1,8,2,2,8,3,1,1,2,1,2,
1],[1,2,8,5,4,8,1,1,2,1,8,4,8,4,4,2,4,1,2,2,2,1,8,2,2,8,2,1,1,1,2,1,2,1],[1,4,
8,3,4,4,2,1,6,2,2,8,4,4,8,4,2,1,1,4,2,4,4,4,4,4,1,2,1,2,1,2,1,1],[1,2,6,4,5,2,
4,1,1,1,1,2,6,1,4,8,4,8,2,2,2,1,1,4,1,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,
1],[1,12,7,4,12,3,6,12,4,4,2,1,3,12,4,8,1,2,1,2,1,1,2,1],[1,12,3,4,4,12,1,2,6,
12,4,2,2,2,1,3,12,4,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,6,4,9,2,4,3,3,9,2,18,2,4,6,
1,9,2,2,4,4,1,2,1,1,2,1,2,1],[1,6,4,3,6,2,4,3,1,2,6,2,3,6,12,2,4,6,1,3,6,2,2,
4,4,1,2,1,1,2,1,2,1],[1,10,3,6,2,4,3,1,2,6,5,6,12,2,4,6,1,3,6,2,2,4,4,1,2,1,1,
2,1,2,1],[1,6,4,9,1,4,1,12,2,6,15,2,4,1,3,1,3,2,6,2,2,2,6,1,2,1,1,1,1,1,1,1,
1],[1,4,6,1,2,6,1,4,1,2,3,1,8,2,4,1,2,4,8,2,2,2,1,1,2,1,1,2,2,2,4,2,2,2,2,4,1,
1,1,1,1,1,1,1,1,1,1],[1,8,2,1,2,6,1,4,1,2,1,3,8,2,4,1,2,4,8,2,2,2,1,1,2,1,1,2,
2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,12,3,4,4,4,2,1,4,2,8,4,4,8,2,4,1,4,
1,2,4,4,4,2,2,4,2,1,1,2,1,1,2,1],[1,1,7,4,2,5,1,2,1,2,2,2,1,2,2,5,5,2,2,1,5,6,
2,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,5,4,8,1,6,
1,1,8,4,8,4,6,1,2,2,2,1,8,2,2,8,3,1,1,2,2,1,1],[1,10,3,6,4,4,3,4,1,4,4,1,4,8,
4,2,4,1,2,2,2,1,8,2,2,8,1,2,1,1,2,2,1,1],[1,2,8,1,8,4,4,3,4,1,1,3,1,6,8,2,2,2,
2,4,1,2,1,1,2,1,2,2,4,2,2,2,6,1,2,1,1,1,1,1,1,1,1],[1,2,12,5,8,1,1,1,12,6,8,4,
2,4,2,3,2,1,8,2,2,8,2,1,1,1,2,1,2,1],[1,10,4,3,2,4,4,1,1,4,4,2,1,4,8,4,4,2,4,
2,2,1,2,1,8,2,2,8,2,1,1,1,2,1,2,1],[1,12,7,16,1,12,6,6,4,2,1,3,4,8,4,8,1,2,1,
1,2,1,2,1],[1,2,2,8,1,2,4,8,8,1,1,4,1,4,8,2,4,4,2,1,1,2,2,2,8,2,2,8,1,2,1,1,2,
1,2,1],[1,2,2,8,1,2,4,8,8,1,1,4,1,4,8,2,4,2,4,1,2,2,2,8,1,2,2,8,2,1,1,1,2,2,1,
1],[1,2,2,8,5,2,8,8,1,1,4,1,4,8,2,4,2,4,1,2,2,2,8,1,2,2,8,2,1,1,1,2,2,1,1],[1,
12,3,4,16,1,12,6,2,4,2,4,3,4,8,1,2,2,8,2,1,1,1,2,2,1,1],[1,6,9,4,2,3,3,2,9,4,
18,2,4,1,6,9,2,2,4,4,2,1,1,2,1,1,2,1],[1,6,7,6,2,3,3,2,6,3,4,6,12,2,4,1,6,3,6,
2,2,4,4,2,1,1,2,1,1,2,1],[1,6,3,6,4,2,3,1,2,2,6,3,4,6,12,2,4,1,6,3,6,2,2,4,4,
2,1,1,2,1,1,2,1],[1,8,7,4,4,2,3,2,2,8,4,4,4,8,6,1,1,4,2,4,4,4,4,4,3,1,1,2,1,2,
1],[1,2,6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,6,1,1,4,1,1,2,2,2,2,2,2,4,2,2,3,1,1,
1,1,1,1,1,1],[1,4,7,8,3,4,2,4,4,24,4,2,1,6,1,8,4,8,1,2,1,1,2,1,2,1],[1,4,7,8,
3,4,2,4,4,24,2,2,2,1,6,1,8,4,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,7,2,4,1,3,2,6,
1,8,4,4,4,8,2,2,2,1,1,1,2,1,2,8,4,2,4,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,3,2,8,1,
1,4,6,1,8,8,4,8,2,2,2,2,1,2,1,2,8,4,2,4,2,1,1,1,1,1,1,1,1,1,1,1],[1,6,9,4,1,3,
2,15,4,4,12,2,4,1,1,3,3,8,4,2,4,2,2,1,1,1,1,1,1,1,1,1],[1,2,7,2,8,1,3,4,1,4,8,
8,4,8,2,4,1,2,2,1,2,8,2,2,8,2,1,1,1,2,1,2,1],[1,2,3,2,12,1,1,6,1,12,8,4,8,2,4,
3,2,1,2,8,2,2,8,2,1,1,1,2,1,2,1],[1,2,13,4,1,5,2,1,16,4,12,2,4,2,1,2,1,2,8,2,
2,8,2,1,1,1,2,1,2,1],[1,4,11,4,1,6,2,6,10,16,4,2,1,1,2,4,4,4,4,4,4,1,2,1,1,2,
2,1,1],[1,2,2,1,8,6,3,4,1,1,1,1,4,2,8,2,2,8,4,2,2,2,1,1,1,1,4,2,2,2,2,2,2,2,2,
4,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,11,1,2,6,4,2,10,16,6,1,1,2,4,4,4,4,4,4,3,1,1,
2,1,2,1],[1,4,15,5,4,2,30,4,2,15,1,4,8,1,2,1,1,2,1,2,1],[1,2,4,13,1,5,1,4,2,
16,12,2,4,2,2,1,1,2,8,2,4,2,4,2,1,1,1,1,1,1,1,1,1],[1,2,13,4,1,6,5,1,16,12,2,
4,1,2,2,1,2,8,2,2,8,2,1,1,1,2,1,2,1],[1,2,3,6,8,3,4,1,4,1,8,8,4,8,2,4,1,2,2,1,
2,8,2,2,8,2,1,1,1,2,1,2,1],[1,15,4,5,30,6,6,15,1,6,6,3,1,3,3,1],[1,10,4,3,2,4,
4,4,1,1,4,4,2,1,4,8,4,2,4,2,2,2,1,1,8,2,2,8,1,2,1,1,2,1,2,1],[1,14,3,2,4,4,4,
1,1,4,4,3,4,8,4,2,4,2,2,1,2,1,8,2,2,8,1,2,1,1,2,1,2,1],[1,2,8,4,5,8,4,1,1,1,8,
2,4,8,4,2,4,2,2,2,1,1,8,2,2,8,1,2,1,1,2,1,2,1],[1,4,4,8,3,4,16,1,6,2,12,2,4,1,
2,1,12,8,2,2,2,1,1,1,2,1,2,1],[1,10,6,1,2,2,2,4,12,1,3,3,2,12,2,2,2,3,1,1,3,8,
4,4,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,16,3,4,12,4,1,8,12,2,4,3,1,12,4,4,2,2,2,1,1,
1,2,1,2,1],[1,3,9,4,3,1,3,3,9,2,2,1,9,9,2,2,2,2,3,3,9,1,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1],[1,4,6,4,3,2,1,8,4,1,3,2,2,1,8,4,3,4,2,4,1,2,1,1,2,1,2,2,4,2,2,2,
4,2,1,2,1,1,1,1,1,1,1,1],[1,2,12,1,4,1,2,2,4,4,1,1,2,3,4,8,2,5,2,2,4,2,1,1,1,
1,2,2,2,4,2,2,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,10,4,3,2,1,2,6,4,1,4,2,2,2,4,6,1,
6,2,4,1,2,1,1,1,2,2,2,4,2,2,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,1,11,4,2,1,1,3,8,5,
2,2,2,1,2,3,1,6,2,1,2,2,2,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1],[1,2,14,1,2,1,2,6,8,4,1,4,2,4,4,2,1,2,2,4,1,1,1,2,2,1,2,2,2,2,2,4,2,2,2,
2,1,1,1,1,1,1,1,1,1],[1,3,9,4,3,1,1,6,9,2,2,3,3,9,2,3,2,2,2,1,3,3,1,2,6,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,5,4,1,6,1,1,8,4,8,4,8,2,4,1,2,2,2,1,8,4,2,
4,2,2,1,1,1,1,1,1,1,1,1],[1,6,4,3,6,1,6,1,3,2,6,6,4,6,6,2,4,1,3,1,3,2,6,2,2,2,
4,2,2,1,1,1,1,1,1,1,1,1],[1,4,6,1,6,2,3,4,1,2,3,2,2,12,12,2,2,2,1,1,3,3,8,4,2,
4,2,1,1,1,1,1,1,1,1,1,1,1],[1,4,11,4,1,2,6,10,6,16,6,1,2,4,1,4,4,4,6,2,3,1,2,
1,2,1,1],[1,12,7,1,12,6,6,6,1,3,12,12,3,1,3,3,1],[1,8,7,4,1,6,8,4,6,4,2,1,1,2,
8,4,4,8,1,2,1,2,1,1,2,1],[1,4,4,1,6,4,3,4,2,2,2,2,4,2,4,1,1,2,2,1,1,1,1,2,2,4,
4,4,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,4,7,8,3,4,2,4,4,8,2,4,1,2,1,4,8,4,8,1,2,1,
1,2,1,2,1],[1,4,4,3,8,1,4,6,2,4,8,4,2,2,1,1,8,4,4,8,1,2,1,1,2,2,1,1],[1,4,4,7,
4,3,2,2,6,4,4,4,2,2,2,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,8,5,4,
8,1,2,4,2,4,2,4,1,2,1,4,8,4,8,1,2,1,1,2,1,2,1],[1,10,4,1,4,2,2,4,4,2,3,2,2,4,
1,1,2,2,1,1,1,1,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,6,9,1,3,15,4,12,8,1,
3,3,8,4,8,1,2,2,2,1],[1,2,4,3,2,4,1,1,2,6,1,8,4,4,8,4,4,1,1,2,1,2,8,2,2,8,1,2,
1,1,2,1],[1,2,8,5,8,1,1,1,8,4,8,4,4,4,2,2,2,1,8,2,2,8,1,2,2,1,1,1],[1,10,3,2,
4,4,1,1,4,4,1,4,8,4,2,2,4,2,2,2,1,8,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,6,9,1,3,15,
4,12,8,1,3,3,8,12,1,2,2,2,1],[1,2,4,3,2,4,1,1,2,6,1,8,4,4,8,4,4,1,1,2,1,2,8,2,
2,8,1,2,1,1,2,1],[1,6,9,1,1,12,6,15,4,4,1,3,3,2,6,2,4,6,1,1,1,2,2,1],[1,4,2,1,
2,6,1,1,2,1,1,8,2,4,1,2,4,8,2,2,2,2,1,1,2,1,2,2,2,4,2,1,1,2,1,1,4,1,1,1,1,1,1,
1,1],[1,2,6,5,2,4,1,1,1,1,2,1,4,8,4,8,2,4,2,1,4,1,1,2,2,2,2,1,2,1,2,2,4,1,1,1,
1,1,1,1,1],[1,2,6,5,2,4,1,1,1,1,2,1,4,8,4,8,6,2,1,4,1,1,2,2,2,2,1,3,2,2,4,1,1,
1,1,1,1,1,1],[1,8,3,4,4,2,1,2,2,8,4,4,8,4,2,2,1,4,2,4,4,1,1,2,2,2,4,1,1,1,1,1,
1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,4,8,1,2,2,2,1],[1,2,4,5,4,1,
6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,12,1,2,2,2,1],[1,6,3,6,1,6,1,3,6,6,6,6,4,4,1,3,
3,2,6,2,4,6,1,1,1,2,2,1],[1,2,8,5,8,1,1,1,8,4,8,4,4,4,2,2,2,1,8,2,4,2,4,1,1,1,
2,2,1],[1,2,8,1,4,4,4,1,1,1,3,1,6,8,2,2,2,4,4,2,1,1,2,1,2,2,4,2,2,2,2,4,1,1,1,
2,2,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,4,8,1,2,2,2,1],[1,2,4,5,4,1,
6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,4,8,1,2,2,2,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,8,1,
1,2,2,1,8,4,8,1,2,2,2,1],[1,2,8,1,4,1,2,2,4,1,1,2,1,4,8,2,5,2,4,4,2,1,1,1,2,2,
2,4,2,2,4,4,1,1,1,2,2,1],[1,10,3,2,1,2,6,1,4,2,2,4,6,1,6,4,4,1,2,1,1,2,2,2,4,
2,2,4,4,1,1,1,2,2,1],[1,4,6,3,2,1,8,1,3,2,1,8,4,3,4,4,4,1,2,1,1,2,2,2,4,2,2,4,
4,1,1,1,2,2,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,4,8,1,2,2,2,1],[1,2,
4,5,4,1,6,1,1,4,2,8,4,8,8,1,1,2,2,1,8,4,8,1,2,2,2,1],[1,6,9,1,3,15,4,12,8,1,3,
3,8,4,8,1,2,2,2,1],[1,2,4,3,2,4,1,1,2,6,1,8,4,4,8,4,4,1,1,2,1,2,8,2,2,8,1,2,2,
1,1,1],[1,2,13,1,5,1,16,12,4,4,2,2,1,2,8,2,6,4,1,1,1,2,2,1],[1,2,3,2,8,1,1,4,
1,8,8,4,8,2,2,2,2,2,2,1,2,8,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,6,9,1,3,15,4,12,4,
4,1,3,3,8,2,2,8,1,2,2,1,1,1],[1,2,4,3,2,4,1,1,2,6,1,8,4,4,8,4,4,1,1,2,1,2,8,2,
2,8,1,2,2,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,4,1,1,2,2,1,8,2,2,8,1,2,1,2,1,
1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,4,1,1,2,2,1,8,2,2,8,1,2,1,2,1,1],[1,2,4,5,4,
1,6,1,1,4,2,8,4,8,4,4,1,1,2,2,1,8,2,2,8,1,2,1,2,1,1],[1,2,6,5,2,4,1,1,1,1,2,1,
4,8,4,8,2,6,1,4,1,1,2,2,2,2,3,2,1,2,4,1,1,1,1,1,1,1,1],[1,8,3,4,4,2,1,2,2,8,4,
4,8,2,6,1,4,2,4,4,3,2,1,2,4,1,1,1,1,1,1,1,1],[1,2,6,5,2,4,1,1,1,1,2,1,4,8,4,8,
2,6,1,4,1,1,2,2,2,2,3,2,1,2,4,1,1,1,1,1,1,1,1],[1,4,11,1,2,6,10,16,6,2,1,2,4,
4,4,1,2,2,3,4,1,1,1,1,1,1,1,1],[1,2,2,1,4,6,1,1,1,1,1,4,2,8,2,2,8,4,2,2,2,2,1,
1,1,4,2,2,2,2,1,2,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,13,1,5,1,16,12,4,4,2,2,1,2,
8,2,2,8,1,2,1,1,2,1],[1,4,11,1,2,6,10,16,2,6,1,2,4,4,4,2,3,1,2,4,1,1,1,1,1,1,
1,1],[1,4,6,3,2,1,8,1,3,2,1,8,4,3,4,4,4,1,2,1,1,2,2,2,4,2,2,2,4,2,1,1,1,2,2,
1],[1,10,3,2,1,2,6,1,4,2,2,4,6,1,6,4,4,1,2,1,1,2,2,2,4,4,2,4,2,1,1,1,2,2,1],[
1,2,8,1,4,1,2,2,4,1,1,2,1,4,8,2,5,2,4,4,2,1,1,1,2,2,2,4,2,2,2,4,2,1,1,1,2,2,
1],[1,2,8,5,8,1,1,1,8,4,8,4,8,2,2,2,1,8,4,8,1,2,2,2,1],[1,2,8,1,4,4,4,1,1,1,3,
1,6,8,2,2,2,4,4,2,1,1,2,1,2,2,4,2,2,4,4,1,1,1,2,2,1],[1,2,13,1,5,1,16,12,8,2,
2,1,2,8,4,8,1,2,2,2,1],[1,6,9,2,3,3,9,18,4,4,6,9,2,2,2,2,2,2,16,1,4,1,4,1,4,
1],[1,6,3,6,2,3,1,2,6,3,6,12,2,2,4,6,3,6,2,2,1,1,2,2,2,8,8,1,2,2,1,4,1,4,1],[
1,7,1,6,6,6,1,3,3,1,3,3,1],[1,7,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[1,4,3,1,2,4,4,2,
6,1,3,2,1,1,1,2,1,1,1,1],[1,4,3,1,2,4,4,2,4,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,4,
3,1,2,4,2,2,2,2,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,4,3,1,2,4,2,2,2,2,4,1,1,2,1,
1,1,1,1,1,1,1,1,1,1],[1,12,7,8,3,6,12,4,6,1,3,2,6,12,3,6,2,3,6,6,1],[1,6,7,6,
4,3,4,3,3,4,12,6,1,1,1,3,6,6,6,3,3,3,2,3,3,3,6,1],[1,2,4,3,6,4,4,3,4,1,2,2,1,
4,4,8,2,4,1,1,1,1,2,2,4,2,2,2,2,4,1,2,1,2,2,1,2,1,2,1,2,1,2,2,2,2,1],[1,2,4,5,
4,4,4,1,6,1,2,1,2,4,4,8,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,2,1,2,1,2,2,1,2,1,
2,1,2,2,2,2,1],[1,2,4,4,5,4,4,1,1,2,1,4,2,2,8,4,4,2,2,2,1,2,1,1,1,2,2,2,2,2,2,
2,2,2,1,2,2,1,2,1,2,1,1,2,1,2,2,2,2,2,1],[1,6,4,3,2,4,4,1,1,2,2,3,8,4,4,4,2,4,
1,2,1,1,1,2,4,2,2,2,4,2,1,2,2,1,2,1,2,1,1,2,1,2,2,2,2,2,1],[1,2,8,7,2,4,1,3,
12,1,4,4,4,2,4,1,2,1,1,1,2,2,8,2,2,2,1,2,1,2,2,1,2,1,1,2,1,2,2,2,2,2,1],[1,4,
2,4,3,2,4,4,1,1,2,6,2,1,4,4,4,4,2,2,2,1,1,1,1,1,1,1,1,4,1,1,2,2,1,2,1,1,1,1,2,
1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,2,8,3,2,4,4,1,1,2,8,1,4,4,4,4,4,
2,1,1,1,1,1,1,1,1,1,1,2,6,1,3,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
1],[1,2,8,3,6,4,3,4,1,8,1,8,4,2,2,2,1,1,2,1,1,2,2,2,2,4,2,4,1,1,2,2,2,1,2,1,2,
1,2,1,2,2,2,2,1],[1,2,8,5,4,4,1,6,1,1,8,8,4,2,4,1,1,2,1,1,2,2,2,2,2,4,4,1,1,2,
2,1,2,2,1,2,1,2,1,2,2,2,2,1],[1,4,6,3,6,4,3,4,1,6,3,8,4,6,1,1,2,1,1,2,2,4,4,6,
1,2,3,3,2,1,2,1,2,1,2,2,4,1],[1,2,2,6,1,6,2,4,3,4,1,1,3,1,4,4,4,4,1,2,3,1,1,1,
1,1,1,2,1,1,1,2,1,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,6,3,4,2,4,1,6,1,4,3,2,4,4,4,1,2,3,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,4,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,12,3,8,8,1,6,6,4,6,
1,1,2,2,8,6,4,1,2,6,2,1,2,2,4,2,4,1],[1,4,7,8,1,4,2,6,12,8,2,4,1,1,2,2,4,4,2,
4,4,1,2,2,4,2,1,2,4,2,4,2,1],[1,2,2,5,2,8,1,1,1,4,2,12,4,4,4,2,4,1,1,1,1,2,2,
2,4,2,4,2,2,1,1,1,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,7,4,8,1,6,6,12,8,2,4,1,1,2,2,
2,4,4,4,4,1,2,2,4,2,1,2,2,4,2,4,1],[1,6,8,3,2,4,8,1,1,8,3,4,4,2,2,2,1,1,1,2,1,
2,2,4,4,2,2,2,1,1,2,2,2,1,2,1,1,1,2,2,2,2,2,2,1],[1,2,4,8,5,4,8,1,1,1,4,8,2,4,
2,4,1,1,1,2,1,2,2,2,2,4,2,4,1,2,1,2,2,1,2,1,1,1,2,2,2,2,2,2,1],[1,4,2,8,3,2,8,
4,1,1,6,4,1,4,4,2,4,1,1,2,1,1,4,2,4,2,2,2,2,1,1,2,2,2,1,2,1,1,1,2,2,2,2,2,2,
1],[1,2,2,10,1,2,2,8,4,1,1,1,5,1,4,4,4,1,4,1,1,1,2,1,1,1,3,1,1,1,1,6,1,1,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,6,1,2,2,4,4,4,1,1,1,
3,3,4,4,4,1,2,3,1,1,1,1,1,1,1,2,1,2,1,2,4,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,1,1,1,4,8,4,1,2,2,2,4,1,2,2,1,1,1],[1,2,3,2,1,
1,1,4,2,2,4,4,1,2,1,1,2,2,2,1,2,2,1,1,1],[1,2,3,2,1,1,1,4,6,2,4,1,2,1,3,2,2,1,
2,2,1,1,1],[1,2,3,2,1,1,1,4,2,4,2,4,1,2,2,1,1,2,2,1,2,2,1,1,1],[1,2,5,1,1,1,4,
4,4,4,1,2,2,2,2,2,1,2,2,1,1,1],[1,2,5,1,1,1,4,4,4,4,1,2,2,2,2,2,1,1,1,2,2,1],[
1,2,3,2,1,1,1,4,2,2,2,6,1,1,3,2,1,1,2,1,1,1,1,1,1,1,1],[1,2,5,1,1,1,4,4,8,1,2,
2,4,2,1,2,2,2,1],[1,2,3,2,1,1,1,4,2,2,4,4,1,1,1,2,2,2,2,1,2,2,1,1,1],[1,2,5,1,
1,1,4,4,8,1,2,4,2,2,1,1,1,2,2,1],[1,2,8,5,8,1,1,1,4,4,4,4,2,1,4,4,4,2,2,2,4,4,
2,4,1,2,1,2,1,4,4,1],[1,6,4,3,2,4,4,1,1,2,3,4,2,2,4,1,1,1,2,2,2,2,2,2,1,1,3,1,
4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,2,6,1,2,2,4,4,1,1,1,3,1,4,1,4,3,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,4,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,4,2,4,3,2,4,1,1,6,2,1,4,2,6,1,1,1,1,1,2,1,2,2,1,2,2,1,2,5,2,2,2,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,2,6,2,1,2,2,4,1,1,1,1,3,4,4,1,2,5,1,1,1,1,1,2,2,1,2,1,
2,2,4,1,3,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,6,3,2,4,1,1,4,3,2,4,1,4,3,1,
1,1,1,1,2,1,2,2,3,2,1,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,8,3,2,4,1,
1,8,1,4,2,4,2,1,1,1,1,1,2,1,1,3,1,1,1,1,1,1,1,2,2,6,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,2,2,6,1,2,2,4,1,1,1,3,1,4,4,1,4,3,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,2,1,1,1,1,4,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,5,1,1,1,
8,4,4,8,2,1,4,4,4,2,4,2,8,4,2,1,1,1,2,4,4,1],[1,2,4,5,4,1,6,1,1,4,2,4,8,1,1,1,
2,2,2,2,4,2,2,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,2,4,3,6,3,4,1,2,1,4,4,2,2,4,1,1,
1,2,2,2,2,2,2,1,1,2,2,2,4,3,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,3,4,2,1,6,1,3,
4,4,1,4,3,1,1,1,1,1,2,2,3,1,2,2,2,2,2,2,1,1,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
2,2,2,1,6,2,3,4,1,1,1,1,4,4,1,2,5,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,3,4,1,2,2,1,1,
1,1,1,1,1,2,2,2,2,1],[1,2,4,7,2,1,3,6,1,4,4,4,2,2,1,1,1,2,2,4,2,2,1,1,6,2,4,2,
4,1,1,1,1,1,1,1,4,4,1],[1,2,4,5,4,1,1,2,1,6,4,4,2,4,2,1,1,1,2,2,4,2,2,2,1,1,4,
2,4,2,4,1,1,1,1,1,1,1,4,4,1],[1,4,2,3,2,4,1,1,2,6,1,4,4,2,2,4,1,1,1,2,4,2,2,2,
1,2,1,4,2,4,2,4,1,1,1,1,1,1,1,4,4,1],[1,2,4,3,2,4,1,1,2,2,1,4,4,4,4,4,1,1,1,1,
1,1,1,2,2,1,1,1,1,1,1,6,1,1,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,
5,8,1,1,4,1,8,4,4,4,2,1,4,4,4,2,2,2,2,8,4,1,2,1,1,2,4,4,1],[1,2,7,2,4,1,3,2,1,
4,4,4,2,6,1,1,1,2,2,4,2,2,1,3,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,2,4,5,1,1,1,4,
2,4,6,4,1,1,2,2,2,2,3,2,1,2,1,2,1,1],[1,2,4,3,2,1,1,2,1,4,4,2,4,4,1,1,2,2,2,2,
1,2,2,1,2,1,2,1,1],[1,4,7,1,4,2,6,8,2,1,1,4,1,4,4,1,2,2,1,1,1],[1,2,2,1,2,4,1,
1,1,4,2,4,4,4,2,1,1,2,2,1,2,2,2,2,1,2,2,1,1,1],[1,2,4,5,1,1,1,4,2,4,6,4,1,1,2,
2,2,2,2,3,1,1,1,1,1,1,1,1],[1,4,2,1,2,2,1,1,2,1,2,2,4,2,2,2,2,2,1,1,2,2,1,1,2,
2,1,1,1,1,1,1,1,1,1,1,1],[1,4,3,4,1,4,2,2,4,4,2,4,1,1,2,2,4,2,2,1,1,2,2,1,1,
1],[1,2,2,1,2,4,1,1,1,4,2,4,4,2,4,1,1,2,2,2,2,2,2,1,1,2,2,1,1,1],[1,2,2,5,2,1,
1,1,4,2,4,4,2,4,1,1,2,2,2,2,2,2,1,1,2,2,1,1,1],[1,2,4,5,4,1,1,1,2,4,2,4,4,1,1,
2,2,2,2,1,2,2,1,2,1,2,1,1],[1,2,4,3,2,4,1,1,2,1,4,2,4,4,1,1,2,2,2,2,1,2,2,1,2,
1,2,1,1],[1,6,3,2,4,1,1,3,4,2,4,4,1,1,2,2,2,2,1,2,2,1,2,1,2,1,1],[1,2,7,2,1,3,
1,4,4,4,2,4,1,1,2,2,2,2,1,2,2,1,2,1,2,1,1],[1,2,5,4,1,1,2,1,4,4,2,4,4,1,1,2,2,
2,2,2,1,2,1,2,1,2,1,1],[1,2,3,2,4,1,1,2,1,4,4,4,2,4,1,1,2,2,2,2,2,1,2,1,2,1,2,
1,1],[1,2,4,3,2,1,1,6,1,4,2,4,4,1,1,2,2,2,2,2,1,2,1,2,2,1,1,1],[1,2,4,5,1,1,1,
6,4,2,4,4,1,1,2,2,2,2,2,1,2,1,2,2,1,1,1],[1,4,2,3,2,1,1,6,1,4,2,8,1,1,2,2,4,2,
1,2,1,2,2,1,1,1],[1,4,3,4,1,2,2,4,4,2,2,4,2,1,1,4,2,1,1,1,4,1,1,1,1,1,1,1,1],[
1,4,3,4,1,2,2,4,4,2,2,2,4,1,1,4,1,2,1,1,4,1,1,1,1,1,1,1,1],[1,4,7,3,2,4,4,2,2,
6,1,1,4,3,1,1,4,1,1,1,1,1,1,1,1],[1,2,5,4,1,1,2,1,4,4,2,4,4,1,1,2,2,2,2,1,2,2,
1,1,1,1,1,1,1,1],[1,2,3,2,4,1,1,2,1,4,4,2,2,2,2,2,1,1,2,2,1,1,1,1,1,2,2,1,1,1,
1,1,1,1,1],[1,2,7,2,1,3,1,4,4,2,4,2,2,1,1,2,2,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,
2,5,4,1,6,1,1,4,2,8,1,1,2,2,2,4,1,2,1,2,1,2,1,1],[1,2,3,6,3,4,1,1,4,2,4,4,1,1,
2,2,2,2,2,1,2,1,2,1,2,1,1],[1,7,4,1,6,6,4,6,1,1,4,3,2,4,1,2,2,1,1,1],[1,3,4,4,
1,6,2,4,4,4,2,1,1,2,2,1,2,2,4,1,2,2,1,1,1],[1,4,7,3,2,4,4,4,4,2,1,1,4,1,2,6,1,
2,1,2,1,1],[1,4,3,4,1,2,2,4,4,2,4,2,2,1,1,4,1,2,1,1,4,1,1,1,1,1,1,1,1],[1,4,4,
3,1,6,2,4,4,2,4,1,1,4,1,2,2,4,1,2,2,1,1,1],[1,4,4,3,1,2,6,4,2,2,2,4,1,1,4,1,2,
1,1,4,1,1,1,1,1,1,1,1],[1,4,4,3,4,1,6,2,4,2,4,1,1,2,2,2,4,2,1,1,2,1,2,1,1],[1,
6,2,1,2,2,2,1,1,1,2,4,2,2,2,2,2,1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,4,7,
1,4,2,6,4,6,1,1,4,3,2,4,1,1,1,1,1,1,1,1],[1,4,7,1,4,2,6,4,6,1,1,4,3,2,4,1,1,2,
2,1,1],[1,7,4,1,6,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,4,7,3,2,4,4,4,2,4,1,1,4,1,2,
2,4,1,1,2,2,1,1],[1,4,3,4,1,2,2,4,4,2,2,2,4,1,1,4,1,2,1,1,4,1,1,1,1,1,1,1,1],[
1,4,4,3,1,6,2,4,2,8,1,1,4,1,4,4,1,1,2,2,1,1],[1,4,4,3,1,2,6,4,4,6,1,1,4,2,3,4,
1,1,1,2,1,1,1],[1,4,3,4,1,2,2,4,4,4,2,2,2,1,1,4,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,
4,3,4,1,2,2,4,4,2,4,2,2,1,1,4,1,2,1,1,4,1,1,1,1,1,1,1,1],[1,4,7,3,2,4,4,2,2,4,
2,1,1,4,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,7,1,4,2,6,8,2,1,1,4,1,4,4,1,1,1,1,1,1,
1,1],[1,4,1,2,4,1,2,2,2,2,4,1,2,3,2,2,1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,2,4,5,4,1,2,2,4,2,4,4,1,1,4,1,2,2,4,1,1,2,2,1,1],[1,6,1,4,2,2,1,2,2,4,1,2,3,
2,2,1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,3,1,3,3,6,6,1,3,3,12,3,1],[1,
6,3,2,1,1,3,1,6,3,1,3,3,3,3,3,3,3,3,4,3,3,1,1,3,1,3,3,3,1],[1,2,2,2,1,2,2,1,1,
1,1,1,1,4,5,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,3,6,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,2,4,3,2,1,1,2,1,2,4,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
1,1,1,1,6,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,3,2,4,1,1,2,1,4,2,4,4,1,1,2,
2,2,1,2,1,1,1,1],[1,2,4,5,4,1,1,1,2,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,6,3,2,4,
1,1,3,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,1,4,2,4,2,4,4,1,1,2,2,2,2,1,
1,1,1,1],[1,2,4,3,2,1,1,2,1,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,3,2,1,1,2,
1,4,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,5,4,1,1,2,1,4,4,2,4,4,1,1,2,2,1,2,2,1,
1,1,1],[1,2,3,2,4,1,1,2,1,4,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,7,2,1,3,1,4,4,
2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,7,3,2,4,4,2,8,1,1,4,1,4,2,1,1],[1,4,7,3,2,4,
4,8,2,1,1,4,1,4,2,1,1],[1,8,3,4,1,4,4,6,4,1,1,2,2,2,2,1,1,1,1,1],[1,4,4,3,4,1,
6,2,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,3,6,3,4,1,1,4,2,4,4,1,1,2,2,2,2,1,1,1,1,
1],[1,2,5,4,1,6,1,1,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,3,6,3,4,1,1,4,2,4,4,1,
1,2,2,2,2,1,1,1,1,1],[1,2,4,5,4,1,1,1,2,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,
3,2,4,1,1,2,1,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,6,3,2,4,1,1,3,4,2,4,4,1,1,2,2,
2,2,1,1,1,1,1],[1,2,5,4,1,1,2,1,4,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,2,3,2,4,1,
1,2,1,4,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,2,7,2,1,3,1,4,4,2,4,4,1,1,2,2,2,1,2,
1,1,1,1],[1,2,4,5,4,1,2,2,4,2,8,1,1,4,1,4,2,1,1],[1,6,3,2,4,1,1,3,4,4,2,4,1,1,
2,2,2,2,1,1,1,1,1],[1,2,4,5,4,1,1,1,2,4,6,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,3,2,
4,1,1,2,1,4,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,3,6,3,4,1,1,4,6,4,1,1,2,2,2,2,1,
1,1,1,1],[1,2,5,4,1,6,1,1,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,3,6,3,4,1,1,4,4,
2,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,5,1,1,1,6,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,
2,4,3,2,1,1,6,1,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,4,2,3,2,1,1,6,1,4,2,4,4,1,1,
2,2,2,1,2,1,1,1,1],[1,4,7,1,4,2,6,2,8,1,1,4,1,4,2,1,1],[1,2,2,1,2,4,1,1,1,4,2,
4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,2,1,2,4,1,1,1,4,2,4,4,2,4,1,1,2,2,2,2,1,1,
1,1,1],[1,2,2,5,2,1,1,1,4,2,4,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,4,3,4,1,4,2,2,4,
4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,5,4,1,1,1,2,4,4,6,1,1,2,2,2,1,2,1,1,1,1],[
1,2,4,3,2,4,1,1,2,1,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,6,3,2,4,1,1,3,4,6,4,1,1,
2,2,2,1,2,1,1,1,1],[1,2,4,5,1,1,1,4,2,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,3,
2,1,1,2,1,4,4,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,3,2,1,1,2,1,4,4,4,2,4,1,1,2,
2,2,2,1,1,1,1,1],[1,4,4,3,1,6,2,4,2,8,1,1,4,1,4,2,1,1],[1,4,4,3,1,6,2,4,2,8,1,
1,4,1,4,2,1,1],[1,2,4,5,1,1,1,6,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,4,3,2,1,1,
6,1,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,2,3,2,1,1,6,1,4,2,4,4,1,1,2,2,1,2,2,1,
1,1,1],[1,8,3,4,1,4,4,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,4,5,4,1,2,2,4,2,8,1,1,
4,1,4,2,1,1],[1,7,4,1,6,6,2,8,1,1,4,1,4,2,1,1],[1,7,4,1,6,6,4,6,1,1,2,2,2,3,1,
1,1,1],[1,4,7,1,4,2,6,2,8,1,1,4,1,4,2,1,1],[1,7,4,1,6,6,4,6,1,1,2,2,2,3,1,1,1,
1],[1,7,4,1,6,6,2,8,1,1,4,1,4,2,1,1],[1,3,4,4,1,6,2,4,4,4,2,1,1,2,2,2,1,2,1,1,
1,1],[1,8,7,1,8,4,6,2,6,1,2,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,4,7,4,1,6,4,2,6,6,
2,1,1,1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,4,1,6,4,3,4,2,2,2,2,4,1,3,2,2,1,1,1,4,
4,2,2,1,3,3,1,1,1,1,1,1,1,1,1],[1,4,3,4,4,1,6,2,4,2,4,2,4,2,1,1,1,2,2,2,2,4,1,
1,6,1,1,1,1,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,4,4,4,1,1,1,2,2,4,2,2,2,2,4,1,1,1,
1,1,1,1,1],[1,2,4,1,8,3,4,1,1,2,4,2,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,4,2,1,6,2,3,4,1,2,1,2,2,4,2,2,2,2,1,1,1,2,2,4,2,2,1,1,1,1,
4,1,1,1,1,1,1,1,1],[1,2,8,5,1,1,1,8,4,4,4,4,2,1,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,
1],[1,4,6,1,2,2,1,1,2,3,2,2,4,4,2,2,2,2,1,1,1,2,2,2,4,2,1,1,1,1,4,1,1,1,1,1,1,
1,1],[1,8,7,1,8,4,6,6,2,1,2,4,8,1,4,3,1,1,1,1,1,2,1],[1,4,4,1,2,4,1,2,2,2,2,4,
2,4,1,2,1,2,2,1,1,1,4,2,2,4,1,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,2,4,5,2,4,1,1,2,
1,4,2,4,2,2,4,1,1,1,2,2,2,2,4,1,2,4,1,1,1,1,1,1,1,1,1],[1,2,6,1,2,4,4,1,1,3,4,
2,4,2,2,4,1,1,1,2,2,2,2,4,1,2,4,1,1,1,1,1,1,1,1,1],[1,4,4,3,4,4,1,4,2,2,2,4,2,
2,4,1,1,1,2,2,2,2,4,1,2,4,1,1,1,1,1,1,1,1,1],[1,4,7,4,1,6,4,2,6,2,6,1,1,1,4,4,
4,3,1,4,1,1,1,1,1,1,1,1],[1,2,2,1,6,4,3,4,1,1,4,2,4,2,4,2,1,1,1,2,2,2,2,4,1,2,
1,4,1,1,1,1,1,1,1,1],[1,2,7,2,4,1,3,2,1,4,4,4,4,2,2,1,1,1,2,2,2,4,2,1,1,2,4,1,
1,1,1,1,1,1,1],[1,2,7,2,4,1,3,2,1,4,4,4,2,2,4,1,1,1,2,2,2,4,2,2,1,1,4,1,1,1,1,
1,1,1,1],[1,2,5,8,1,1,4,1,8,4,2,2,2,2,2,1,2,2,2,4,2,1,1,1,1,4,1,1,1,1,1,1,1,
1],[1,4,3,8,1,4,2,4,8,2,4,2,2,1,4,4,4,2,1,1,4,1,1,1,1,1,1,1,1],[1,4,7,4,3,2,2,
4,4,4,2,2,4,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,7,4,3,2,2,4,4,4,2,6,1,1,
1,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,4,4,3,4,1,2,6,2,4,4,2,2,4,1,1,1,4,4,4,1,2,1,
4,1,1,1,1,1,1,1,1],[1,4,4,7,3,2,6,4,4,2,2,4,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,
1],[1,4,4,3,4,1,2,2,6,4,4,2,2,4,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,3,8,
1,4,2,4,8,2,2,2,2,2,1,4,4,4,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,4,7,4,3,2,2,4,4,4,4,
2,2,1,1,1,4,4,4,1,1,6,1,1,1,1,1,1,1,1],[1,4,7,4,3,2,2,4,4,4,2,4,2,1,1,1,4,4,4,
1,1,2,4,1,1,1,1,1,1,1,1],[1,2,4,5,4,1,1,2,1,6,4,4,2,2,2,2,1,1,1,4,2,2,2,2,1,1,
1,1,4,1,1,1,1,1,1,1,1],[1,4,2,3,2,4,1,1,2,6,1,4,4,2,2,4,1,1,1,4,2,2,2,2,2,1,1,
4,1,1,1,1,1,1,1,1],[1,2,4,7,2,1,3,6,1,4,4,2,2,2,2,1,1,1,4,2,2,2,2,1,1,1,1,4,1,
1,1,1,1,1,1,1],[1,4,4,7,3,2,6,4,4,2,2,2,2,1,1,1,4,4,4,1,1,1,1,4,1,1,1,1,1,1,1,
1],[1,4,4,3,4,1,2,6,2,4,4,2,4,2,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,4,3,
4,1,2,2,6,4,4,2,4,2,1,1,1,4,4,4,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,8,3,1,8,3,4,3,2,
2,4,1,2,4,4,4,1,2,1,4,1,1,2,1,2,1],[1,8,4,1,2,1,4,4,2,2,3,1,2,1,1,2,2,2,1,1,1,
2,2,2,2,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,4,4,3,4,4,1,6,2,2,2,2,4,1,1,1,2,
2,4,2,2,1,6,1,1,1,1,1,1,1,1,1],[1,10,2,1,2,2,2,4,1,1,3,2,4,2,2,2,2,1,1,1,2,2,
4,2,2,1,1,1,4,1,1,1,1,1,1,1,1,1],[1,6,6,1,2,2,2,4,1,3,1,2,4,2,2,2,2,1,1,1,2,2,
4,2,2,1,1,1,4,1,1,1,1,1,1,1,1,1],[1,6,4,1,4,2,2,4,2,1,2,2,4,1,2,1,2,2,1,1,1,4,
2,2,4,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,10,1,4,2,2,4,3,2,2,4,1,3,2,2,1,1,1,4,2,
2,4,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,4,4,5,4,4,1,2,2,2,4,2,2,4,1,1,1,4,4,4,1,1,2,
2,2,1,1,1,1,1,1,1,1],[1,4,4,3,1,6,2,4,2,1,1,4,1,4,1,2,1],[1,4,7,3,2,4,4,2,1,1,
4,1,4,1,2,1],[1,4,7,1,4,2,6,2,1,1,4,1,4,1,2,1],[1,7,4,1,6,6,2,1,1,4,1,4,1,2,
1],[1,2,3,2,4,1,1,2,1,4,4,2,4,4,1,1,2,2,2,2,1,4,4,1,1,1,1,1,1,1,1],[1,2,5,4,1,
1,2,1,4,4,2,2,6,1,1,2,2,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,2,7,2,1,3,1,4,4,2,2,6,1,
1,2,2,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,2,5,4,1,6,1,1,4,6,4,1,1,2,2,2,3,4,4,1,1,1,
1,1,1,1,1],[1,2,3,4,2,1,6,1,1,4,1,1,4,4,1,1,1,1,1,1,2,1,6,4,1,1,1,1,1,1,1,1],[
1,2,1,8,3,4,1,1,2,2,1,3,2,2,2,1,1,2,2,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1],[1,2,4,5,
1,1,1,4,2,4,2,8,1,1,2,2,4,1,4,4,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,1,4,2,4,6,4,1,1,
2,2,2,3,4,4,1,1,1,1,1,1,1,1],[1,2,2,2,1,2,2,1,1,1,1,1,4,4,1,1,4,4,1,1,1,1,1,1,
2,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,1,4,2,4,6,4,1,1,2,2,2,4,3,4,1,1,1,1,1,
1,1,1],[1,2,4,1,4,1,1,1,2,4,2,2,1,2,1,2,2,2,1,1,2,2,1,1,2,2,1,1,1,2,2,1,1,1,1,
1,1,1,1],[1,2,3,2,4,1,1,2,1,4,4,2,2,2,2,2,1,1,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,2,5,4,1,1,2,1,4,4,4,2,2,2,1,1,2,2,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,7,2,
1,3,1,4,4,2,4,4,1,1,2,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,3,2,4,1,1,2,1,4,4,4,2,
4,1,1,2,2,2,2,1,4,4,1,1,1,1,1,1,1,1],[1,2,5,4,1,1,2,1,4,4,2,4,2,2,1,1,2,2,1,1,
1,2,4,4,1,1,1,1,1,1,1,1],[1,2,7,2,1,3,1,4,4,6,2,2,1,1,2,2,1,1,7,4,1,1,1,1,1,1,
1,1],[1,4,2,3,2,1,1,6,1,4,2,4,4,1,1,2,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,4,3,2,
1,1,6,1,4,4,2,2,2,1,1,2,2,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,4,5,1,1,1,6,4,2,2,
2,2,2,1,1,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,4,2,3,2,1,1,6,1,4,2,8,1,1,1,1,
1,1,1,8,4,1,1,1,1,1,1,1,1],[1,2,2,2,1,2,2,1,1,1,1,1,4,4,1,1,4,4,1,1,1,1,1,1,1,
2,2,4,4,1,1,1,1,1,1,1,1],[1,4,2,3,2,1,1,4,1,2,4,1,1,4,4,1,1,1,1,1,1,1,2,2,4,4,
1,1,1,1,1,1,1,1],[1,8,1,2,1,4,2,3,1,2,1,3,2,2,2,1,1,2,2,3,3,1,1,1,2,2,1,1,1,1,
1,1,1,1],[1,4,4,3,1,4,3,2,3,2,2,2,4,1,1,2,2,1,1,2,2,2,1,4,1,1,1,1,1,1,1,1],[1,
4,4,1,2,1,4,2,2,1,1,2,1,2,1,2,2,2,1,1,2,2,1,1,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,4,3,1,3,3,2,4,2,4,1,1,2,2,1,4,4,1,1,1,2,2,1],[1,4,1,2,1,2,1,1,2,1,2,3,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,5,1,1,1,4,8,4,1,2,4,4,4,1,1,2,1,1,
1,1],[1,2,1,4,1,1,1,2,2,1,2,3,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
2,5,1,1,1,4,2,2,2,6,1,1,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,4,2,2,4,4,1,
2,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,4,2,2,2,6,1,1,3,1,1,4,4,1,1,1,1,1,
1,1,1],[1,2,5,1,1,1,4,4,8,1,4,2,4,4,1,1,1,2,1,1,1],[1,2,3,2,1,1,1,4,2,4,2,4,1,
2,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,5,1,1,1,4,2,2,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,
1,1,1,1],[1,2,3,2,1,1,1,4,4,2,2,2,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,2,5,1,
1,1,4,4,1,2,2,2,4,1,2,2,2,1],[1,4,3,8,1,4,2,8,4,2,1,2,4,1,2,1,2,1,1,1,2,2,1],[
1,8,3,4,1,8,4,2,2,2,2,4,1,2,1,2,1,2,1,1,1,2,2,1],[1,3,4,1,2,6,2,1,2,3,2,4,1,2,
1,1,1,2,2,1],[1,4,3,1,2,4,4,1,2,1,2,2,1,4,2,1,1,1,2,2,1],[1,4,3,1,2,4,4,1,2,1,
2,2,1,2,1,1,1,1],[1,3,4,1,2,6,2,1,2,3,2,1,2,1,1,1,1],[1,4,3,1,2,4,4,1,2,1,2,2,
1,2,1,1,1,1],[1,3,4,1,2,4,2,2,1,2,1,2,2,1,2,1,1,1,1],[1,4,3,1,3,3,2,2,1,1,1,4,
4,1,2,1],[1,2,4,1,4,1,2,2,4,2,2,1,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,1,12,
1,3,4,1,2,1,1],[1,3,4,9,1,3,4,1,2,1,1],[1,3,4,9,1,3,4,1,2,1,1],[1,3,1,12,1,3,
4,2,1,1,1],[1,3,12,1,3,9,1,4,9,3,3,1,3,3,1,1,1,1],[1,12,3,1,3,9,4,1,9,3,3,1,3,
3,1,1,1,1],[1,3,15,5,1,15,15,1,5,1,3,3,1,3,3,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,
1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,15,16,5,30,15,20,1,1],[1,6,9,16,2,3,3,9,
18,6,9,8,12,1,1],[1,6,3,6,16,2,3,1,2,6,3,6,12,6,3,6,8,4,8,1,1],[1,15,16,5,30,
15,8,12,1,1],[1,6,9,16,2,3,3,9,18,6,9,8,12,1,1],[1,3,12,16,1,18,16,3,12,4,16,
1,1],[1,3,9,3,16,1,3,3,9,1,9,9,3,3,9,4,12,4,1,1],[1,12,3,16,4,12,1,6,12,3,12,
16,4,1,1],[1,3,9,3,16,1,3,3,9,1,9,9,3,3,9,4,12,4,1,1],[1,3,12,4,1,18,16,12,3,
12,1,4,1,3,1],[1,3,12,4,1,18,16,12,3,12,1,4,1,3,1],[1,3,9,3,4,1,3,3,9,1,9,9,
12,3,3,9,1,4,1,3,1],[1,4,8,3,4,16,1,6,12,4,8,1,2,12,1,4,1,1,2,1],[1,3,9,3,4,1,
1,6,9,3,3,9,3,12,1,3,3,2,6,1,4,1,1,2,1],[1,6,9,4,2,3,3,9,18,12,6,9,1,4,1,3,
1],[1,6,9,4,1,1,12,6,15,12,1,3,3,2,6,1,4,1,1,2,1],[1,15,4,5,30,12,15,1,4,1,3,
1],[1,3,9,3,4,1,3,3,9,1,9,9,12,3,3,9,1,4,1,3,1],[1,6,6,1,2,4,4,12,1,3,3,12,4,
8,3,1,3,8,1,4,1,1,2,1],[1,12,3,4,16,1,12,6,12,3,4,8,1,4,1,1,2,1],[1,6,9,4,1,3,
15,4,12,12,1,3,3,8,1,4,1,1,2,1],[1,7,8,4,3,4,4,24,4,8,1,6,8,1,4,1,1,2,1],[1,6,
1,6,2,4,3,4,1,3,12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,6,3,6,4,1,6,1,3,6,6,6,6,12,
1,3,3,2,6,1,4,1,1,2,1],[1,3,16,1,6,3,4,1,1],[1,6,1,12,4,4,3,6,12,6,8,4,1,3,12,
3,1,4,3,2,1,1],[1,3,3,6,7,4,1,3,3,6,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,12,1,6,4,3,4,6,6,6,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,12,3,4,4,1,6,6,12,6,8,
4,1,3,6,6,3,1,4,3,2,1,1],[1,4,12,3,4,12,1,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,
6,10,3,4,12,1,9,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,12,3,4,1,12,3,6,
3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,3,12,3,4,1,6,6,3,6,3,6,8,4,1,3,6,6,3,1,4,
3,2,1,1],[1,9,7,3,4,1,3,9,9,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,12,
3,4,12,1,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,3,12,3,4,6,6,1,3,3,6,6,8,4,1,3,
6,6,3,1,4,3,2,1,1],[1,4,6,3,6,4,3,1,6,3,12,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,10,3,6,4,3,1,9,12,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,4,6,
1,3,3,6,3,3,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,1,4,6,6,4,3,6,6,8,4,1,
3,12,3,1,4,3,2,1,1],[1,3,3,12,1,4,1,3,6,6,3,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,
18,1,4,3,9,4,3,6,6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,7,12,4,3,6,4,12,6,8,4,1,3,
12,3,1,4,3,2,1,1],[1,6,3,4,6,4,1,6,3,3,12,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,6,1,12,4,3,4,3,3,6,6,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,3,6,3,1,6,4,1,
3,3,6,3,3,6,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,3,3,7,4,1,3,6,3,3,3,6,
3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,4,6,12,6,8,4,1,3,12,3,1,
4,3,2,1,1],[1,3,4,12,4,1,6,6,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,12,7,4,3,6,12,
4,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,3,12,4,4,6,3,3,3,6,1,3,3,3,8,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,6,7,6,4,3,3,3,4,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,6,3,
10,4,3,1,9,12,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,12,1,6,4,3,4,6,3,3,6,
6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,9,3,7,4,3,1,3,9,9,3,3,4,4,4,3,1,3,3,3,3,3,
1,4,3,1,1,1,1],[1,12,1,6,4,3,4,3,6,3,6,6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,3,
6,10,4,3,1,9,12,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,1,12,4,1,3,3,3,
6,3,6,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,9,7,4,1,3,3,9,9,3,3,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,4,1,6,18,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,1,6,
6,6,4,3,1,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,9,3,4,3,1,9,3,
9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,6,4,6,4,3,3,3,6,1,3,6,3,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,4,1,6,4,4,1,6,1,4,1,1,1],[1,3,4,4,1,6,4,4,
1,6,1,4,1,1,1],[1,1,6,4,3,4,1,3,4,1,3,3,1,4,1,1,1],[1,6,1,4,4,3,1,3,4,1,3,3,1,
4,1,1,1],[1,7,4,3,4,4,4,1,6,1,4,1,1,1],[1,6,1,4,4,3,6,6,4,1,3,3,1,4,3,1,1],[1,
3,3,1,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,
4,1,6,12,4,1,6,1,4,3,1,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,4,3,4,1,6,12,
4,1,6,1,4,3,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,4,3,4,1,3,3,6,6,4,
1,3,3,1,4,3,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,1,6,12,4,1,6,
1,4,3,1,1],[1,1,12,4,6,3,8,4,3,1,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,
1,6,12,3,4,4,1,1,1],[1,1,2,4,1,3,3,4,8,3,1,3,4,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,
1,1],[1,6,1,4,3,1,3,4,3,3,1,4,1,1,1],[1,9,5,9,1,1,1,9,9,15,1,3,3,3,5,3,3,1,3,
3,3,3,1,1,5,3,3,1,1,3,1,1,1,1,1,1,1,1],[1,9,3,3,8,1,1,1,9,3,6,9,6,1,3,3,1,2,3,
2,3,3,1,3,3,3,3,1,1,3,2,3,1,2,1,1,3,1,1,1,1,1,1,1,1],[1,3,9,8,3,1,1,9,4,6,9,6,
4,1,3,2,3,2,3,3,4,6,3,1,1,3,1,2,3,2,1,1,3,1,1,1,1,1,1,1,1],[1,9,1,6,6,6,6,9,2,
2,6,6,1,1],[1,9,1,6,6,3,9,9,2,2,1,3,1,1],[1,9,1,6,6,3,9,9,2,2,1,3,1,1],[1,15,
10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,
4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,18,45,6,15,45,135,180,270,45,45,90,90,
135,270,360,360,6,45,15,180,135,270,18,45,1],[1,6,36,9,12,2,12,24,72,72,3,18,
3,4,9,36,36,18,72,72,72,18,36,72,3,18,24,6,24,36,72,72,9,18,36,18,24,36,72,72,
72,18,9,36,24,72,72,48,72,72,72,144,144,6,8,24,72,72,1,6,9,12,9,18,36,36,36,
36,144,18,36,72,3,18,18,24,1],[1,15,12,5,18,16,30,18,3,12,15,36,9,12,1,1,3,3,
9,9,9,3,3,9,1],[1,12,15,16,5,12,6,30,12,6,15,3,4,8,12,24,3,6,4,8,1,1,1,2,3,3,
6,3,6,3,6,3,3,3,6,1],[1,4,12,8,3,4,12,16,1,6,6,12,12,6,12,1,3,2,12,12,12,24,3,
6,12,1,1,3,3,3,3,6,6,3,6,1,2,3,3,6,1],[1,12,7,8,4,12,3,4,6,12,4,24,4,4,4,2,4,
1,6,3,12,8,4,8,8,8,8,1,2,2,2,2,8,4,1,1,2,1,1,2,2,2,2,1,2,1,2,2,2,2,1,2,2,2,2,
1,2,1,2,1,2,2,2,2,1],[1,6,12,9,4,2,24,3,6,3,9,12,6,24,24,18,24,16,1,6,6,24,3,
6,6,8,6,9,8,24,24,24,24,1,3,3,12,12,4,12,12,1,6,1],[1,2,16,5,8,2,4,12,8,1,8,1,
2,1,8,10,4,20,16,16,4,14,24,8,8,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,4,16,12,4,
8,4,16,16,4,8,12,1,1,2,1,2,2,2,8,2,2,8,2,2,2,2,8,2,2,8,1,1,1,4,1],[1,6,12,9,4,
2,24,3,6,3,9,12,6,24,24,18,24,16,1,6,6,24,3,6,6,8,6,9,8,24,24,24,8,16,1,3,3,
12,12,4,4,8,4,8,1,2,4,1],[1,2,16,5,8,2,4,12,8,1,8,1,2,1,8,10,4,20,16,16,4,14,
24,8,8,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,4,16,12,4,8,4,16,16,4,4,8,8,1,1,2,
1,2,2,2,8,2,2,8,2,2,2,2,8,2,2,8,1,1,1,4,1],[1,2,20,5,4,4,8,24,16,1,2,1,1,12,8,
6,16,8,24,4,4,16,4,4,8,4,4,8,8,2,4,2,8,8,8,16,2,1,4,4,4,8,12,12,4,8,24,2,4,4,
8,2,4,1,8,4,1,2,4,8,1,2,1,2,1,2,4,2,4,4,2,4,2,1,1,2,2,1,1],[1,4,18,3,6,1,3,6,
18,24,3,1,3,6,9,3,18,24,12,3,9,12,4,4,4,4,4,1,4,3,6,6,3,3,3,6,3,12,12,6,3,6,6,
8,6,6,12,24,12,2,2,2,2,2,4,4,2,4,1,3,3,6,3,3,3,6,3,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,10,21,2,3,9,39,36,66,16,3,7,14,6,15,30,32,48,24,3,1,
12,3,12,4,12,12,1,6,1],[1,10,21,2,3,9,39,36,66,8,8,3,7,14,6,15,30,32,48,4,8,
12,3,1,12,3,12,2,2,2,2,8,2,2,8,1,1,1,4,1],[1,10,21,2,3,9,39,36,66,16,3,7,14,6,
15,30,32,48,8,16,3,1,12,3,12,4,4,4,8,8,1,2,4,1],[1,6,25,5,15,15,60,60,4,12,10,
20,15,30,60,20,6,6,12,1,15,15,1,3,6,6,6,6,1,3,3,1],[1,2,16,5,8,2,4,12,8,1,8,1,
2,1,8,10,4,20,16,16,4,14,24,8,8,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,4,16,12,4,
8,4,16,16,4,4,8,8,1,1,2,1,2,2,2,8,2,2,8,2,2,2,8,2,2,8,2,1,1,4,1,1],[1,2,16,5,
8,2,4,12,8,1,8,1,2,1,8,10,4,20,16,16,4,14,24,8,8,1,2,4,4,6,8,12,1,2,6,2,4,4,4,
4,1,10,4,16,12,4,8,4,16,16,4,4,8,8,1,1,2,1,2,2,2,8,2,2,8,2,2,2,8,2,2,8,2,1,1,
4,1,1],[1,6,12,9,4,2,24,3,6,3,9,12,6,24,24,18,24,8,8,1,6,6,24,3,6,6,8,6,9,8,
24,24,24,4,4,8,8,1,3,3,12,12,2,2,2,8,2,2,8,2,1,1,4,1,1],[1,6,24,9,24,32,1,3,
15,24,12,24,4,12,12,1,3,6,6,8,6,16,3,8,24,24,24,24,6,6,6,24,8,2,1,3,6,3,2,6,6,
12,24,6,12,24,24,24,6,3,4,12,6,1],[1,6,12,9,12,16,1,18,16,3,15,12,6,24,4,12,
24,12,3,12,1,3,3,6,4,8,6,3,8,24,12,12,12,12,24,6,6,12,6,12,8,1,1,1,3,3,3,3,2,
6,6,6,12,12,6,12,6,12,12,24,24,3,3,3,4,12,6,1],[1,2,4,12,5,12,4,8,8,1,18,16,1,
2,1,4,10,2,8,8,24,4,4,8,24,2,4,6,3,12,1,1,2,1,2,6,2,2,8,2,1,6,8,8,16,2,4,6,2,
2,4,4,2,2,4,4,4,6,6,8,12,1,1,4,2,2,2,4,4,4,2,6,6,4,4,4,1,1,1,1,2,1,2,1,2,1,2,
2,1,1,4,1,1,4,2,2,2,2,2,4,4,2,2,4,4,2,6,4,6,2,4,6,6,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,2,1,1,2,1,2,2,2,2,2,4,4,2,2,2,1],[1,6,4,8,9,4,8,16,1,6,3,4,15,4,12,2,8,
16,4,24,12,8,16,4,4,4,1,1,6,3,2,4,1,2,12,2,3,4,8,8,16,8,4,4,4,12,4,4,8,8,4,4,
4,4,4,4,2,2,6,8,2,4,4,8,2,4,8,1,1,1,2,1,1,2,1,2,1,2,2,2,2,6,8,2,2,2,2,4,4,4,4,
4,8,2,6,2,8,2,4,4,8,8,8,8,8,8,8,1,2,1,2,1,2,4,4,8,2,2,2,1],[1,6,12,7,6,8,4,12,
3,4,3,4,18,3,24,12,4,24,12,24,6,6,1,1,6,3,6,3,1,3,8,3,6,8,24,8,6,6,6,6,12,12,
6,6,6,6,3,3,12,3,3,6,6,3,3,2,6,1,1,3,1,3,3,3,2,3,3,12,6,3,3,6,6,3,3,6,3,3,12,
3,3,3,3,6,6,6,6,6,6,6,6,6,3,3,3,1,3,3,3,6,6,1],[1,6,4,16,9,4,32,16,1,6,3,15,4,
24,2,8,16,4,12,8,4,8,1,1,3,4,1,2,4,24,4,16,2,3,8,8,4,4,16,4,8,8,8,4,8,8,2,4,2,
4,8,8,8,2,4,8,2,2,1,1,2,2,1,4,2,2,4,2,2,4,4,8,4,8,4,4,2,2,8,4,4,8,8,8,8,8,8,8,
8,8,2,1,2,4,4,4,4,4,2,4,1],[1,2,12,12,5,4,4,8,16,24,1,6,1,2,1,12,10,6,8,24,8,
4,4,8,8,2,4,6,1,1,1,6,3,2,2,4,8,2,6,16,8,2,1,2,8,8,2,2,2,6,4,4,4,4,2,6,12,4,6,
2,8,4,1,1,4,6,4,6,2,4,4,4,2,2,2,4,4,2,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,4,2,2,2,6,
2,4,2,4,2,4,4,2,2,2,6,4,2,6,4,4,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
2,4,2,2,4,2,2,2,1],[1,4,6,16,3,6,4,24,4,20,3,4,1,2,6,16,3,8,16,20,4,4,16,2,6,
4,1,1,1,2,4,2,5,1,14,5,8,16,1,4,8,8,2,2,4,2,2,4,8,4,4,4,6,10,4,4,6,6,1,1,4,2,
1,3,2,2,6,6,8,2,1,3,2,4,2,1,1,2,1,1,1,1,2,1,2,2,2,2,1,1,4,2,1,3,2,2,4,4,1,1,4,
6,1,1,2,2,2,1,1,2,2,6,2,2,6,6,2,1,3,4,6,2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,2,2,
2,1,1,1,2,2,2,2,1,1,2,1,1,4,2,2,2,2,1],[1,2,4,13,4,16,1,6,5,8,1,4,2,8,16,48,
16,12,8,16,4,8,1,2,12,2,4,1,2,2,1,2,4,16,8,16,8,8,8,8,8,16,8,8,8,2,4,2,4,2,4,
8,16,8,2,1,1,2,1,2,2,4,2,2,4,4,4,4,2,4,2,4,4,4,4,8,16,8,16,8,16,8,16,1,2,2,4,
4,8,4,2,4,1],[1,10,8,21,2,16,3,9,39,12,36,66,12,3,7,2,14,6,12,15,30,32,48,24,
12,12,6,12,1,3,1,12,3,12,3,6,6,6,12,6,12,1,3,6,2,3,1],[1,4,6,8,3,6,12,2,16,3,
1,2,6,6,6,12,3,24,12,24,6,12,24,24,6,6,3,1,2,6,6,8,6,12,3,6,6,6,24,8,24,24,24,
12,12,6,6,6,6,3,3,12,1,3,1,12,3,12,3,3,3,6,3,3,12,3,3,12,1,3,3,3,1,1,3,1],[1,
6,12,4,9,4,4,2,24,3,6,3,2,9,12,6,6,24,24,8,4,18,24,8,2,6,4,1,1,6,1,2,6,24,3,6,
6,8,6,9,2,8,8,24,24,24,2,2,2,2,6,2,6,2,8,4,4,8,2,3,1,2,2,8,1,1,3,3,12,12,2,1,
3,2,2,2,2,1,1,1,3,1,2,2,2,2,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,1,1],[1,6,16,9,8,2,
4,12,8,1,8,3,2,15,8,10,4,20,16,16,4,12,14,24,8,4,1,1,3,2,4,4,6,8,12,1,2,6,2,4,
4,4,4,3,10,8,4,16,12,4,8,4,16,16,4,4,8,8,8,4,4,8,2,4,2,2,8,1,1,1,2,1,2,2,2,8,
2,2,8,2,1,3,2,4,2,1,2,4,2,2,4,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,1,1],[1,2,16,4,5,
8,4,2,4,12,8,1,8,1,2,2,1,8,10,6,4,20,16,16,8,4,4,14,24,8,6,2,4,1,1,2,1,2,4,4,
6,8,12,1,2,6,2,4,4,4,4,1,10,2,8,4,16,12,4,8,4,16,16,2,2,2,2,2,6,2,6,8,4,4,8,2,
1,3,2,2,8,1,1,1,2,1,2,2,2,8,2,2,8,2,1,3,2,2,2,2,1,1,1,1,3,2,2,2,2,8,2,2,2,8,1,
1,2,2,1,1,1,2,1,2,1,1],[1,10,8,21,2,16,3,9,39,12,36,66,4,8,3,7,2,14,6,12,15,
30,32,48,8,4,4,8,24,2,4,12,1,3,1,12,3,12,1,2,2,4,2,4,2,4,12,2,4,12,1,1,2,2,2,
4,1,2,1],[1,10,8,3,6,12,2,4,12,3,1,2,6,6,8,5,32,12,24,6,12,24,24,2,2,4,4,3,1,
8,6,8,6,1,3,8,3,6,6,6,24,8,24,24,24,2,2,2,2,2,2,2,2,4,4,4,4,8,8,2,1,1,2,2,2,8,
1,3,1,12,3,12,1,2,1,1,2,2,2,2,2,2,1,1,2,2,2,8,2,1,1,2,2,2,8,1,1,2,1,1,1,1,2,2,
1,2,1],[1,6,20,9,4,4,8,24,16,1,2,3,15,12,8,6,16,8,24,4,12,4,16,4,8,1,3,4,4,8,
8,2,4,2,8,8,8,16,2,3,8,4,4,4,8,12,12,4,8,24,4,4,16,4,8,4,8,4,2,2,2,8,1,8,4,1,
1,2,4,8,1,2,2,1,4,3,2,1,2,2,2,4,4,8,2,2,4,8,1,1,2,2,1,2,1,1,1,1,2,1],[1,2,20,
4,5,4,4,4,8,24,16,1,2,1,2,1,12,8,6,6,16,8,24,8,4,4,4,16,8,2,2,8,1,4,1,2,4,8,8,
2,4,2,8,8,8,16,2,1,2,8,4,4,4,8,12,12,4,8,24,2,2,2,2,16,2,2,8,2,2,4,4,4,2,1,1,
2,4,4,1,8,4,1,1,2,4,8,1,2,1,1,1,2,2,3,1,1,1,1,1,2,1,1,4,4,4,4,1,1,1,1,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,20,13,4,4,8,24,16,1,2,5,1,12,8,6,16,8,24,
16,12,4,16,8,4,2,4,4,8,8,2,2,4,2,8,8,8,16,2,1,2,8,4,4,4,8,12,12,4,8,24,4,4,4,
8,4,24,2,4,2,2,8,1,8,4,1,2,4,8,1,1,2,2,1,2,4,1,2,3,2,2,4,6,8,2,4,8,1,2,1,2,2,
2,2,1,2,1],[1,2,20,5,4,8,4,8,24,16,1,2,1,4,1,12,8,6,16,8,24,8,8,4,4,16,8,4,4,
4,2,4,4,8,8,2,2,4,2,8,8,8,16,2,1,2,8,4,4,4,8,12,12,4,8,24,2,2,2,2,2,2,8,2,2,
12,12,2,2,2,2,2,4,4,1,8,4,1,2,4,8,1,1,2,1,1,1,1,1,2,2,1,1,1,3,1,1,2,4,3,3,4,4,
1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,6,12,9,12,2,24,3,18,16,3,9,12,6,
24,24,18,24,12,3,12,6,6,24,3,6,6,8,6,9,8,24,24,24,12,12,24,6,12,1,1,3,3,12,12,
3,6,6,6,12,6,12,1,3,2,6,3,1],[1,2,16,5,16,2,4,12,8,1,20,16,1,2,1,8,10,4,20,16,
16,4,14,24,4,8,3,12,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,4,16,12,4,8,4,16,16,4,8,
4,8,24,2,4,12,1,1,1,2,1,2,2,2,8,2,2,8,1,2,2,4,2,4,2,4,12,2,4,12,1,1,2,2,2,4,1,
2,1],[1,6,20,9,4,2,24,16,3,6,3,9,20,10,24,24,18,24,4,8,1,6,6,24,5,6,4,6,8,8,6,
9,8,24,24,24,4,4,8,8,16,8,4,4,2,8,1,1,3,3,12,12,1,2,4,2,2,4,2,4,8,2,4,4,4,8,1,
1,2,2,2,4,2,1,1],[1,2,16,8,5,8,2,4,12,8,8,8,1,8,1,2,1,8,10,4,4,20,16,16,8,4,
14,24,4,8,1,2,4,4,6,8,12,1,2,6,2,2,2,2,4,4,4,8,4,1,10,4,16,12,4,8,4,16,16,4,4,
4,4,8,16,8,4,2,2,2,8,1,1,1,2,1,2,2,2,8,2,2,8,1,2,4,2,2,4,2,2,2,8,2,4,4,2,2,8,
1,1,2,2,2,4,2,1,1],[1,10,21,8,2,3,9,4,39,36,24,66,4,8,3,6,7,14,6,15,30,8,32,
48,4,12,8,16,8,4,6,8,1,3,1,12,3,12,1,2,2,4,2,4,6,6,4,4,8,8,1,1,2,2,4,2,1,2,
1],[1,6,4,7,6,16,2,3,3,2,8,6,6,3,24,4,32,24,6,12,24,24,2,2,4,4,1,8,1,6,6,8,6,
3,6,6,6,24,8,8,24,24,24,2,2,2,2,4,4,4,4,8,8,4,4,2,2,1,1,4,8,1,3,1,12,3,12,1,2,
2,2,2,1,1,2,2,1,1,4,1,1,4,2,2,2,2,8,8,1,1,2,1,1,2,2,1,1,1,2,1],[1,6,25,8,5,15,
4,15,60,24,60,12,10,6,20,15,30,8,60,20,12,24,12,6,12,1,1,15,15,3,6,6,6,6,12,
12,1,3,2,6,3,1],[1,6,12,8,9,4,2,24,8,8,3,6,3,9,12,4,6,24,24,8,18,24,4,8,1,6,6,
24,3,6,2,6,8,2,2,8,6,9,8,24,24,24,4,4,4,4,8,16,8,2,2,4,8,2,1,1,3,3,12,12,1,2,
2,4,2,4,2,2,2,2,4,8,2,2,4,8,1,1,2,2,2,4,1,2,1],[1,2,24,5,8,2,4,12,8,16,1,8,1,
2,1,16,10,8,20,16,16,4,14,24,4,8,1,2,4,4,6,8,12,3,2,6,4,8,2,4,4,4,4,1,10,4,16,
12,4,8,4,16,16,4,4,8,8,16,8,4,4,8,2,1,1,1,2,1,2,2,2,8,2,2,8,1,2,2,4,2,4,2,4,2,
4,8,4,4,8,1,1,2,2,2,4,1,2,1],[1,2,16,8,5,8,2,4,12,8,8,8,1,8,1,2,1,8,10,4,4,20,
16,16,8,4,14,24,4,8,1,2,4,4,6,8,12,1,2,6,2,2,2,2,4,4,4,8,4,1,10,4,16,12,4,8,4,
16,16,4,4,4,4,8,16,8,2,2,4,8,2,1,1,1,2,1,2,2,2,8,2,2,8,1,2,2,4,2,4,2,2,2,2,4,
8,2,2,4,8,1,1,2,2,2,4,1,2,1],[1,2,28,5,4,4,8,24,16,16,1,2,1,1,20,8,10,16,8,24,
4,4,16,4,8,4,4,8,8,4,4,4,2,8,8,8,8,16,2,1,4,4,4,8,12,12,4,8,24,8,16,4,8,4,8,2,
4,8,4,1,8,4,1,1,2,4,8,1,2,2,1,4,2,4,2,4,4,8,2,2,4,4,8,1,1,2,2,2,4,2,1,1],[1,4,
18,8,3,6,1,3,6,18,24,8,8,3,1,3,6,9,4,3,18,24,12,8,3,9,12,4,4,4,4,1,4,3,6,6,3,
3,2,3,6,3,2,2,12,12,6,8,3,6,6,8,6,6,12,24,12,4,4,8,8,4,8,4,4,4,2,2,2,4,4,4,1,
3,3,6,1,3,3,3,6,3,1,1,1,2,2,2,2,2,2,4,2,2,4,4,2,2,4,2,2,4,4,1,1,1,1,2,2,2,2,1,
1,1,1],[1,10,8,21,2,8,3,9,39,8,4,8,36,66,4,8,3,7,2,14,6,2,2,15,30,32,48,8,4,4,
12,8,12,8,2,4,2,2,8,3,1,12,1,3,12,1,2,4,2,1,3,2,2,2,2,4,8,8,2,6,2,1,1,2,2,2,2,
2,1,2,1],[1,2,16,13,8,2,4,12,8,1,8,5,2,1,8,10,4,20,16,16,16,12,14,24,4,8,1,2,
2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,1,10,2,8,4,16,12,4,8,4,16,16,4,4,12,8,12,8,4,2,
2,2,8,1,1,2,1,2,2,2,8,1,2,2,8,2,1,1,2,2,4,3,2,2,2,8,2,4,2,6,8,1,2,1,2,2,2,2,1,
2,1],[1,2,16,5,8,8,2,4,12,8,1,8,1,2,4,1,8,10,4,20,16,16,8,8,4,14,24,8,4,8,1,2,
2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,1,10,2,8,4,16,12,4,8,4,16,16,4,4,8,4,8,4,8,8,4,
2,2,2,8,1,1,2,1,2,2,2,8,1,2,2,8,2,1,1,2,2,4,2,1,2,2,2,8,2,2,2,2,4,2,8,1,2,1,2,
2,2,2,1,2,1],[1,6,12,9,4,8,2,24,3,6,3,4,9,12,6,24,24,8,8,18,24,8,4,8,1,2,6,6,
24,2,3,6,6,8,6,9,2,8,8,24,24,24,4,4,4,8,8,8,4,8,4,2,2,2,8,1,3,3,12,1,12,2,1,1,
2,2,4,1,2,2,2,2,8,2,2,2,2,2,4,8,1,2,1,2,2,2,2,1,2,1],[1,6,8,25,8,5,15,15,8,4,
8,60,60,8,4,10,2,20,2,2,15,30,60,20,8,4,4,4,8,4,24,2,2,2,4,8,1,1,15,15,1,2,3,
2,1,2,4,2,4,8,4,8,2,2,6,1,1,2,2,2,2,2,2,1,1],[1,10,4,21,4,2,3,6,9,39,4,2,8,36,
66,8,8,4,1,3,7,14,6,1,2,2,15,30,32,48,8,8,4,4,8,4,4,8,8,2,2,2,4,8,3,1,12,1,3,
12,1,2,2,4,3,1,2,2,2,2,4,4,2,2,2,8,8,1,1,2,1,1,1,2,2,1,1,2,1],[1,6,8,3,10,12,
2,5,4,1,2,6,6,8,3,24,12,12,24,6,12,32,24,2,2,4,4,1,3,1,6,6,8,6,3,3,6,8,6,24,8,
24,24,24,8,2,2,4,2,2,2,2,2,2,4,4,4,8,8,2,2,2,1,1,2,8,3,1,12,1,3,12,1,2,2,2,2,
1,2,1,2,2,2,1,1,2,2,1,1,2,2,2,2,8,8,1,1,2,1,1,1,2,2,1,1,2,1],[1,6,4,25,4,5,6,
15,15,4,2,8,60,60,8,4,8,1,10,20,1,2,2,15,30,60,20,8,4,4,4,8,4,16,8,2,4,2,2,8,
1,1,15,15,1,2,1,2,3,2,4,2,2,4,4,4,2,2,8,8,1,1,2,1,1,1,1,2,2,1,2,1],[1,6,9,2,3,
3,9,18,12,12,6,9,6,6,6,6,6,6,48,1,12,3,12,3,12,3,4,1],[1,6,9,1,3,15,4,12,12,
12,1,3,3,8,6,6,24,8,8,1,6,2,2,6,6,6,3,3,3,6,6,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,
4,4,4,4,8,1,1,2,2,1,8,2,4,2,2,2,8,8,8,8,8,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,
1,1,1,1,1,1,2,2,2,2,2,2,1],[1,12,15,5,12,6,30,12,6,15,3,12,12,24,3,12,6,1,3,1,
6,3,6,3,3,3,6,3,1,2,3,6,1],[1,12,7,8,4,12,3,4,6,12,4,8,4,4,4,2,4,1,2,3,12,4,8,
4,8,8,8,8,1,2,2,2,6,8,1,1,2,1,2,2,2,2,2,2,1,2,1,2,1,2,2,2,2,1,2,1,2,1,2,1,2,2,
2,2,1],[1,4,12,3,8,4,12,1,4,6,6,12,8,4,4,6,4,2,1,3,12,8,12,8,4,8,8,3,2,2,2,4,
8,1,1,2,1,2,2,2,2,2,1,3,2,2,2,3,2,2,2,1,1,2,1,2,2,1,2,2,2,1],[1,12,4,7,4,4,12,
3,2,6,6,12,4,4,2,4,2,2,8,1,1,3,1,12,4,4,12,4,4,4,4,4,8,1,4,2,1,1,4,4,4,1,1,1,
1,1,1,1,1,2,1,1,2,1,1,3,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,8,15,4,5,6,8,4,30,8,10,1,15,2,8,4,8,12,16,5,4,4,8,1,1,2,1,2,4,2,3,4,1,
2,2,2,1,3,4,1,2,1,2,1,2,2,2,2,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,12,8,1,1,3,
1,2,2,3,8,8,4,4,4,4,4,2,2,6,8,8,16,1,1,2,2,1,4,4,4,4,2,2,2,2,2,2,2,4,2,1,1,1,
2,2,4,4,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,2,2,8,8,1,1,1,2,1,2,2,1,
2,8,8,2,2,2,2,2,2,2,2,4,1,1,2,2,12,8,16,1,1,2,2,1,4,4,4,4,2,2,2,2,1,1,1,1,2,2,
2,2,1,1,1,2,2,4,4,1],[1,6,8,9,8,1,3,15,8,4,8,4,12,8,12,1,3,2,2,2,3,8,8,8,8,2,
6,8,4,2,8,16,1,1,2,2,1,4,2,2,4,4,2,2,4,2,2,4,4,1,2,2,2,4,4,1],[1,2,4,13,4,1,6,
5,1,4,2,8,16,12,8,8,4,8,1,2,2,1,2,2,1,2,8,8,8,8,2,4,2,12,2,8,16,1,1,2,4,1,2,2,
2,4,2,4,2,4,2,4,2,4,1,2,2,2,4,4,1],[1,2,4,5,4,8,1,6,1,4,1,4,2,8,8,8,4,8,8,4,4,
4,8,1,2,2,1,2,2,1,2,8,8,4,4,4,4,2,4,2,2,2,8,2,8,8,8,1,1,2,2,2,1,2,2,2,2,2,1,1,
2,2,1,1,2,2,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,
4,8,8,1,1,3,1,2,2,3,8,8,4,4,4,4,4,2,4,2,8,2,8,16,1,1,4,2,1,2,4,4,2,2,2,4,2,2,
2,2,4,2,1,1,1,2,2,4,4,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,6,4,2,4,4,
1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,2,2,2,1,3,2,8,2,8,8,8,1,1,2,2,2,1,2,2,2,
2,2,1,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,4,9,4,1,6,3,
15,4,2,8,4,12,8,4,16,1,1,3,1,2,2,3,8,8,4,4,4,4,2,2,24,16,2,1,1,4,4,1,4,4,4,4,
4,2,2,2,4,2,1,2,2,2,8,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,2,2,8,8,1,
1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,1,1,2,4,4,8,8,16,2,1,1,4,2,2,1,4,4,2,2,4,
2,2,1,1,1,1,2,2,2,2,1,2,1,1,2,4,4,1],[1,6,8,9,8,1,3,15,8,4,8,4,12,4,16,1,3,2,
2,2,3,8,8,8,8,2,2,24,2,1,1,4,1,4,4,2,2,4,4,1,2,4,1],[1,6,8,9,8,1,3,15,8,4,8,4,
12,16,4,1,3,2,2,2,3,8,8,8,8,2,2,8,16,2,1,1,4,1,4,4,2,2,4,4,1,2,4,1],[1,2,8,13,
8,1,5,1,8,4,8,16,12,4,16,2,2,2,2,2,1,2,8,8,16,2,2,8,16,2,1,1,4,1,4,4,4,4,4,1,
2,4,1],[1,2,12,5,4,16,1,6,1,1,12,6,8,4,8,8,8,4,1,3,2,4,8,2,1,8,4,4,8,2,2,4,2,
12,8,1,1,2,1,2,1,2,2,1,2,2,4,2,4,1,1,1,2,2,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,
8,8,4,8,8,8,4,1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,2,2,2,4,2,8,8,1,1,2,1,2,1,2,2,1,2,
2,2,2,2,2,2,1,1,1,2,2,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,8,4,4,8,4,1,1,2,
2,2,2,8,2,1,8,4,4,4,4,2,2,2,2,2,12,8,1,1,2,1,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,6,8,9,16,1,3,15,12,4,12,4,12,4,1,3,2,12,3,8,8,4,4,2,6,12,2,8,1,1,3,2,
2,2,1,2,1,2,4,2,4,1,1,1,2,2,1],[1,6,8,3,2,4,4,12,1,1,2,8,3,16,4,4,8,4,6,2,4,4,
1,1,4,1,3,8,1,2,8,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,8,2,8,1,1,2,1,2,2,1,1,1,2,1,2,
1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,8,4,4,4,8,
1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,2,2,2,4,8,2,8,1,1,2,1,2,1,2,2,1,2,2,2,2,2,2,2,1,
1,1,2,2,1],[1,2,12,5,4,16,1,6,1,1,12,6,8,4,8,4,4,4,8,1,3,2,4,8,2,1,8,4,4,8,2,
2,4,4,8,2,8,1,1,2,1,2,1,2,2,1,2,2,4,2,4,1,1,1,2,2,1],[1,2,4,8,5,4,8,8,1,6,1,1,
4,4,2,8,8,4,8,4,4,4,8,1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,2,2,2,4,8,2,8,1,1,2,1,2,1,
2,2,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,2,
2,8,8,1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,1,1,2,4,8,2,12,1,1,2,2,1,2,2,2,2,
1,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,2,8,2,
8,1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,1,1,2,4,8,4,2,8,1,1,2,2,1,2,2,2,2,1,1,
1,1,2,2,2,2,1,1,1,2,2,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,8,8,1,1,3,1,2,2,3,
8,8,4,4,4,4,2,2,4,8,2,12,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,6,8,9,16,
1,3,15,12,4,12,4,4,4,8,1,3,2,12,3,8,8,4,4,2,2,4,12,2,8,1,1,1,2,2,2,1,2,2,1,2,
4,2,4,1,1,1,2,2,1],[1,4,2,8,3,2,4,16,1,1,2,6,12,1,8,4,4,8,2,2,4,4,4,4,1,1,2,2,
12,1,2,8,4,4,2,2,2,2,2,1,1,4,2,2,8,2,8,1,1,1,2,2,2,1,1,1,2,1,1,1,4,1,1,4,1,1,
1,1,1,1,1,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,8,8,1,1,3,1,2,2,3,8,8,4,4,4,4,
2,4,2,8,12,2,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,2,8,3,6,4,3,4,1,2,8,
1,8,12,4,4,16,4,6,2,4,4,1,1,1,2,3,1,4,8,8,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,8,1,1,
1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,6,8,9,8,1,3,15,8,4,
8,4,12,4,16,1,3,2,2,2,3,8,8,8,8,2,2,8,16,2,1,1,4,1,4,4,2,2,4,4,1,2,2,2,1],[1,
2,16,5,8,16,1,1,1,16,8,8,4,4,8,8,2,4,4,2,8,1,8,4,8,4,2,2,2,4,8,4,8,1,1,2,2,1,
2,1,1,2,2,4,2,2,4,1,1,1,2,2,1],[1,2,4,13,4,1,6,5,1,4,2,8,16,12,8,4,16,1,2,2,1,
2,2,1,2,8,8,8,8,2,2,8,2,16,1,1,4,1,4,4,2,4,2,4,1,2,4,1],[1,2,4,5,4,8,1,6,1,4,
1,4,2,8,8,8,4,8,8,8,8,4,1,2,2,1,2,2,1,2,8,8,4,4,4,4,2,4,2,4,2,8,8,1,1,2,2,1,2,
2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,2,4,13,4,1,6,5,1,4,2,8,16,12,8,4,16,1,2,2,1,2,
2,1,2,8,8,8,8,2,2,8,16,2,1,1,4,1,4,4,2,4,2,4,1,2,4,1],[1,2,4,5,4,8,1,6,1,4,1,
4,2,8,8,8,4,8,8,4,8,8,1,2,2,1,2,2,1,2,8,8,4,4,4,4,2,2,4,4,8,8,2,1,1,2,2,1,2,2,
2,2,2,2,2,2,2,2,1,1,1,4,1],[1,2,4,5,4,8,1,6,1,4,1,4,2,8,8,8,4,8,8,8,4,8,1,2,2,
1,2,2,1,2,8,8,4,4,4,4,2,2,4,8,12,2,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[
1,2,4,13,4,1,6,5,1,4,2,8,16,12,8,8,4,8,1,2,2,1,2,2,1,2,8,8,8,8,2,2,4,8,12,2,1,
1,2,2,1,2,2,2,2,2,4,2,4,1,1,1,4,1],[1,2,4,5,4,8,1,6,1,4,1,4,2,8,8,8,4,8,8,8,4,
8,1,2,2,1,2,2,1,2,8,8,4,4,4,4,2,2,4,8,4,8,2,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,
1,4,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,2,2,8,8,1,1,1,2,1,2,2,1,2,8,
8,2,2,2,2,2,2,2,2,4,1,1,2,4,8,2,8,1,1,2,2,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,2,2,
1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,8,8,1,1,3,1,2,2,3,8,8,4,4,4,4,4,2,2,4,8,
2,8,1,1,2,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,
8,4,4,8,8,2,2,8,8,1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,4,1,1,2,4,8,2,8,1,1,2,
2,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,
8,4,4,4,8,1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,4,2,2,2,2,8,8,1,1,2,1,2,1,2,1,2,2,2,2,
2,2,2,2,1,1,1,2,2,1],[1,2,12,5,4,16,1,6,1,1,12,6,8,4,8,4,4,8,4,1,3,2,4,8,2,1,
8,4,4,8,2,4,2,4,2,8,8,1,1,2,1,2,1,2,1,2,2,2,4,2,4,1,1,1,2,2,1],[1,2,4,8,5,4,8,
8,1,6,1,1,4,4,2,8,8,4,8,8,8,4,1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,4,2,2,2,2,8,8,1,1,
2,1,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,2,4,5,12,1,18,16,1,1,4,2,8,4,8,4,
4,4,8,3,12,1,2,2,1,8,4,4,8,2,2,4,8,2,4,8,1,1,2,2,1,1,2,2,1,2,2,4,2,4,1,1,1,2,
2,1],[1,2,4,5,12,1,18,16,1,1,4,2,8,4,8,8,4,8,3,12,1,2,2,1,8,4,4,8,2,2,4,8,2,4,
8,1,1,2,2,1,1,2,2,1,2,2,4,2,4,1,1,1,2,2,1],[1,2,4,5,12,1,18,16,1,1,4,2,8,4,8,
4,4,4,8,3,12,1,2,2,1,8,4,4,8,2,2,4,8,2,4,8,1,1,2,2,1,1,2,2,1,2,2,4,2,4,1,1,1,
2,2,1],[1,2,4,13,4,1,6,5,1,4,2,8,16,12,8,4,16,1,2,2,1,2,2,1,2,8,8,8,8,2,8,2,2,
16,1,1,1,4,4,4,2,4,2,4,1,2,2,2,1],[1,2,13,8,1,5,4,1,16,24,12,4,4,12,2,6,2,1,2,
8,8,4,8,4,6,2,2,12,8,1,1,3,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,6,8,9,16,1,3,
15,12,4,12,4,4,4,8,1,3,2,12,3,8,8,4,4,4,2,2,4,2,8,8,1,1,1,2,2,2,1,2,2,1,2,4,2,
4,1,1,1,2,2,1],[1,6,8,3,2,4,4,12,1,1,2,8,3,16,4,4,8,2,2,4,4,4,4,1,1,4,1,3,8,1,
2,8,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,8,8,1,1,1,2,2,2,1,2,1,1,1,2,1,1,2,2,1,1,2,
1,1,1,1,1,1,1,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,8,8,1,1,3,1,2,2,3,8,8,4,4,
4,4,4,2,2,12,2,8,1,1,2,1,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,2,8,3,6,4,3,4,1,
2,8,1,8,12,4,4,16,2,2,4,4,4,4,1,1,1,2,3,1,4,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,
1,1,8,1,1,2,1,2,1,1,2,2,1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,6,8,9,8,1,3,
15,8,4,8,4,12,4,8,8,1,3,2,2,2,3,8,8,8,8,2,4,2,12,2,8,1,1,2,1,2,2,2,2,2,2,2,4,
4,1,1,1,4,1],[1,6,9,8,1,3,4,15,4,24,12,4,4,4,8,1,6,3,3,8,8,4,12,2,6,12,2,8,1,
1,1,2,2,2,1,2,2,1,6,6,1,1,1,2,2,1],[1,2,4,7,2,8,1,3,4,6,1,8,4,24,4,8,2,2,4,4,
4,4,1,6,1,2,1,2,8,8,2,2,2,2,4,4,2,1,1,4,2,2,8,2,8,1,1,1,2,2,2,1,1,1,2,1,1,1,4,
1,1,4,1,1,1,1,1,1,1,1],[1,2,8,13,8,1,5,1,8,4,8,16,12,4,16,2,2,2,2,2,1,2,8,8,
16,8,2,2,2,16,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,10,21,2,3,9,39,36,66,8,8,3,7,14,6,
15,30,32,48,4,4,4,4,4,4,32,3,1,12,3,12,8,2,8,2,8,2,4,2,2,2,4,1,2,4,2,4,2,1],[
1,6,12,9,4,2,24,3,6,3,9,12,6,24,24,18,24,8,8,1,6,6,24,3,6,6,8,6,9,8,24,24,24,
4,4,4,4,4,4,32,1,3,3,12,12,8,2,8,2,8,2,4,2,4,2,2,1,2,4,2,4,2,1],[1,2,16,5,8,2,
4,12,8,1,8,1,2,1,8,10,4,20,16,16,4,14,24,4,4,8,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,
1,10,4,16,12,4,8,4,16,16,4,4,2,2,4,4,4,16,16,1,1,2,1,2,2,2,8,2,2,8,4,4,2,8,2,
8,1,1,2,2,2,2,2,2,1,1,1,2,2,2,1,1,2,2,2,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,
24,24,36,66,24,4,4,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,
8,8,8,16,2,2,2,2,2,2,16,3,1,12,3,3,12,3,12,12,4,1,4,1,4,2,2,2,2,2,4,4,4,16,4,
16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,1,1],[1,2,16,4,5,8,12,2,4,12,8,1,
8,1,2,6,1,8,10,6,4,20,16,16,24,12,24,4,14,24,24,24,2,2,4,1,3,2,1,6,4,4,6,8,8,
12,6,1,2,6,2,4,4,4,4,1,10,6,6,24,8,24,24,24,4,16,12,4,8,4,16,16,2,2,2,2,2,2,2,
2,8,4,4,8,4,4,8,8,2,2,1,1,2,2,2,8,8,3,1,12,1,2,1,2,2,2,8,3,12,2,2,8,2,2,1,4,1,
4,1,1,2,1,1,2,2,2,2,4,4,8,8,2,2,8,8,2,2,2,2,2,2,2,4,4,8,8,8,8,1,1,2,2,1,1,1,1,
4,2,2,4,4,4,1,1],[1,2,4,13,12,1,18,16,5,1,4,2,8,16,12,8,4,12,3,12,2,2,1,2,2,1,
2,8,8,4,4,8,8,24,2,6,2,4,2,8,1,1,1,1,2,1,4,2,4,6,2,4,2,4,2,4,6,4,1,1,2,2,1,2,
2,4,1],[1,2,4,5,12,8,1,18,16,1,4,1,4,2,8,8,8,4,8,8,4,8,4,3,12,2,2,1,2,2,1,2,8,
8,4,4,8,4,4,4,4,16,2,2,4,2,4,2,8,1,1,1,1,2,1,4,2,4,2,4,2,4,2,4,2,2,2,2,4,2,2,
1,1,2,2,1,2,2,4,1],[1,6,8,8,9,8,16,1,3,15,8,12,4,8,4,12,4,4,8,1,3,2,2,2,2,12,
3,8,8,8,4,4,8,16,8,2,4,2,2,4,2,8,1,1,1,1,1,2,4,4,2,4,2,2,2,2,4,4,4,2,4,4,1,1,
2,2,1,2,2,4,1],[1,4,10,8,3,2,4,4,4,16,1,1,2,6,4,4,12,1,4,8,8,4,4,8,2,2,4,8,1,
1,2,2,2,2,2,12,1,2,8,8,4,4,2,2,2,2,8,16,8,2,4,2,1,1,4,2,8,1,1,1,1,1,2,2,2,2,2,
2,4,1,1,2,1,1,2,4,4,4,1,1,4,4,1,1,2,1,1,1,1,1,2,2,2,1],[1,6,8,9,8,8,1,3,4,15,
8,4,8,4,24,12,4,8,4,1,6,3,2,2,2,3,8,8,8,4,12,8,8,16,2,2,4,6,8,2,1,1,1,1,2,1,4,
2,2,4,4,6,2,2,4,6,4,4,1,1,2,2,1,2,2,4,1],[1,10,4,7,2,8,4,4,1,3,4,4,4,6,1,4,8,
8,4,24,4,8,4,6,2,4,1,6,2,1,2,2,2,1,2,8,8,8,2,2,2,2,4,4,8,8,8,8,2,2,3,1,2,4,8,
2,1,1,1,1,2,1,2,2,1,1,2,2,2,2,2,1,1,4,2,2,4,1,1,4,2,2,4,1,1,1,1,2,1,1,1,2,2,2,
1],[1,2,12,13,4,16,1,6,5,1,12,6,8,16,12,8,12,4,1,2,2,3,2,4,8,2,1,2,8,8,4,4,8,
8,8,16,2,2,4,6,8,2,1,1,1,1,2,1,4,4,2,2,4,2,4,2,2,4,2,4,4,4,1,1,2,2,1,2,2,4,
1],[1,2,4,8,5,4,8,8,8,1,6,1,4,1,4,4,2,8,8,8,8,4,8,8,4,8,4,1,2,2,1,2,2,2,2,8,2,
1,2,8,8,4,4,4,4,4,4,4,4,16,2,2,2,2,2,12,2,1,1,1,1,2,1,4,4,2,2,4,2,2,2,2,2,2,2,
2,2,2,4,2,2,1,1,2,2,1,2,2,4,1],[1,2,16,13,8,16,1,5,1,16,8,8,16,12,8,8,2,2,2,4,
4,2,8,1,2,8,8,4,8,8,4,24,4,2,2,4,4,8,1,1,1,1,2,1,2,2,2,2,2,2,4,4,4,4,2,2,2,6,
4,1,1,2,2,1,2,2,2,2,1],[1,2,4,8,13,4,8,8,1,6,5,1,4,4,2,8,8,16,12,8,4,4,8,1,2,
2,1,2,2,2,2,8,2,1,2,8,8,4,4,4,4,8,8,16,2,2,2,2,4,8,2,2,1,1,1,1,2,1,4,2,4,2,4,
2,2,2,4,2,2,4,2,4,2,2,1,1,2,2,1,2,2,4,1],[1,2,12,5,4,8,16,1,6,1,4,1,12,6,8,8,
8,4,8,8,4,4,8,1,2,2,3,2,4,8,2,1,2,8,8,4,4,8,4,4,4,4,16,2,2,4,4,8,2,2,1,1,1,1,
2,1,4,2,4,2,4,2,4,4,2,2,2,2,2,2,2,4,1,1,2,2,1,2,2,4,1],[1,2,4,8,5,4,8,8,8,1,6,
1,4,1,4,4,2,8,8,8,8,4,8,8,4,4,8,1,2,2,1,2,2,2,2,8,2,1,2,8,8,4,4,4,4,4,4,4,4,
16,2,2,2,2,4,8,2,2,1,1,1,1,2,1,4,2,4,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,2,2,1,
2,2,4,1],[1,6,12,9,4,8,1,6,3,15,12,6,8,8,4,12,8,8,8,1,1,3,2,3,2,2,2,3,8,8,8,4,
4,4,4,8,8,8,8,2,4,2,2,4,2,8,1,1,1,1,1,2,2,2,2,1,1,2,2,4,2,2,2,2,2,4,4,2,2,2,4,
1,1,1,1,2,1,1,2,1,2,2,1],[1,10,8,3,6,4,4,4,3,4,1,2,4,4,8,1,4,8,8,12,4,4,16,2,
2,4,4,4,1,1,2,1,2,2,3,2,1,4,8,8,8,2,2,2,2,2,2,2,2,8,8,8,8,2,2,2,2,2,1,1,2,2,8,
1,1,1,1,1,2,2,2,2,1,1,2,2,2,2,2,2,2,1,1,2,2,2,4,2,1,1,2,4,1,1,1,1,2,1,1,2,1,2,
2,1],[1,2,4,4,13,4,4,1,6,5,2,1,4,6,2,8,8,16,4,12,8,8,2,6,4,4,1,2,1,1,2,2,1,2,
2,1,2,2,8,8,8,2,2,2,2,8,2,2,2,2,8,8,8,2,2,2,3,1,2,2,2,8,1,1,1,2,1,1,2,2,1,2,2,
2,1,2,2,1,1,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,2,1,1,1,1,2,2,2,1],[1,2,4,4,5,4,12,
1,6,1,6,1,4,6,2,8,8,12,8,4,8,8,8,2,4,2,4,4,1,3,1,2,2,1,2,2,1,2,2,8,8,8,2,2,2,
2,8,2,2,2,2,4,4,8,4,4,2,2,2,2,1,1,2,2,2,8,1,1,1,2,1,1,2,2,1,2,2,2,1,2,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,1],[1,6,4,9,4,8,1,6,3,4,15,4,
2,8,4,8,8,12,8,8,4,4,8,1,1,2,3,2,1,2,2,3,2,8,8,8,4,8,4,4,4,4,4,8,4,4,4,2,2,2,
2,2,2,8,1,1,1,2,1,1,2,2,1,2,2,2,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,
1,2,2,2,1],[1,2,8,13,8,8,1,5,4,1,8,4,8,16,24,12,4,4,8,2,6,2,2,2,2,1,2,8,8,8,4,
8,8,4,8,16,4,2,6,2,2,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,4,4,4,1,1,2,2,
1,2,2,2,2,1],[1,10,7,2,12,4,4,1,3,6,4,4,1,4,8,4,28,8,4,8,2,2,4,4,4,1,7,2,2,2,
2,1,2,8,8,8,2,2,4,4,4,4,2,2,12,8,4,2,2,1,2,1,4,2,2,8,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,1,1,4,3,1,2,1,1,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,6,8,8,9,8,16,1,3,15,8,12,4,8,4,12,4,4,8,1,3,2,2,2,2,12,3,8,8,8,4,4,16,8,8,2,
2,2,4,12,2,1,1,1,1,2,1,4,2,2,4,4,2,2,2,4,4,2,4,4,4,1,1,2,2,1,2,2,4,1],[1,14,8,
3,2,4,4,4,4,12,1,1,2,4,4,8,3,4,8,16,4,4,8,2,2,4,4,4,1,2,1,4,2,1,2,3,8,1,2,8,8,
2,2,2,2,2,2,2,2,8,8,8,8,2,2,2,1,1,2,2,2,8,2,1,1,1,1,2,1,2,2,1,1,2,2,2,2,2,2,2,
2,1,1,2,4,2,2,2,4,1,1,2,1,1,1,1,2,1,1,1,2,2,2,1],[1,12,7,8,3,6,12,4,4,12,6,1,
3,2,6,12,3,6,6,6,2,1,6,3,6,3,6,6,1,3,3,1],[1,4,2,8,3,2,8,4,1,1,6,4,1,4,4,2,4,
4,8,4,1,1,2,1,1,4,2,4,2,2,2,2,4,2,1,1,2,2,2,2,1,2,2,2,1,2,2,2,1,1,2,1,2,2,1,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,3,2,4,8,1,1,8,3,4,4,2,2,2,4,4,4,4,1,1,1,
2,1,2,2,4,4,2,2,2,2,2,2,1,1,2,2,2,2,1,2,2,2,1,2,2,2,1,1,2,1,2,2,1,1,1,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,2,4,8,5,4,8,1,1,1,4,8,2,4,6,4,4,4,4,1,1,1,2,1,2,2,2,2,
4,2,4,2,2,2,1,2,1,2,2,2,3,2,2,1,2,2,2,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,2,8,7,2,4,1,3,12,1,4,4,4,4,2,4,4,4,4,1,2,1,1,1,2,2,8,2,2,2,2,2,1,2,
2,1,2,2,2,1,2,2,2,1,2,2,2,1,1,1,2,2,2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,
4,4,5,4,4,1,1,2,1,4,2,2,8,4,4,2,6,6,4,4,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,
2,1,2,2,3,2,2,1,2,2,2,1,1,1,2,2,2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,3,
2,4,4,1,1,2,2,3,8,4,4,4,6,4,4,4,4,1,2,1,1,1,2,4,2,2,2,4,2,2,2,2,1,2,2,1,2,2,1,
2,2,2,1,2,2,2,1,1,1,2,2,2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,12,3,8,8,1,
6,6,4,4,6,4,8,1,1,2,2,8,6,4,1,2,2,4,4,2,6,2,1,2,4,2,1,2,4,1,2,2,4,2,4,1,1,2,2,
1,1],[1,2,4,5,4,4,4,1,6,1,2,1,2,4,4,8,2,2,6,8,4,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
4,2,1,2,1,2,2,1,2,2,2,1,2,2,2,1,1,2,1,2,2,1,2,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[
1,6,7,6,4,3,4,3,3,4,12,4,6,4,4,4,1,1,1,3,6,6,6,2,2,2,3,2,3,2,3,2,2,1,2,2,2,1,
1,2,1,2,2,3,3,3,6,1,1,1,1,1,1,1,1],[1,2,4,3,6,4,4,3,4,1,2,2,1,4,4,8,6,4,4,4,4,
1,1,1,1,2,2,4,2,2,2,2,4,2,2,2,2,1,2,1,2,2,2,1,2,2,1,2,2,2,1,1,2,1,2,2,1,2,1,2,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,7,8,1,4,2,6,12,8,8,2,4,8,1,1,2,2,4,4,2,4,4,1,
4,4,4,2,2,4,2,1,2,4,2,4,1,2,1,2,4,2,4,2,1,1,2,1,2,1],[1,2,2,5,2,8,1,1,1,4,2,
12,4,4,4,4,4,2,4,4,4,1,1,1,1,2,2,2,4,2,4,2,2,1,2,2,2,2,2,2,1,1,2,4,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,5,4,4,1,6,1,1,8,8,4,2,4,
8,4,4,1,1,2,1,1,2,2,2,2,2,4,4,2,2,4,1,1,2,2,2,1,2,2,2,1,2,2,2,1,2,1,1,2,2,1,2,
1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,6,3,6,4,3,4,1,6,3,8,4,6,4,8,4,1,1,2,1,1,2,
2,4,4,6,4,2,2,1,2,3,2,3,2,2,1,2,2,2,1,2,1,1,2,2,1,2,1,2,1,2,2,4,1,1,1,1,1,1,1,
1],[1,2,8,3,6,4,3,4,1,8,1,8,4,2,2,2,4,4,4,4,1,1,2,1,1,2,2,2,2,4,2,4,2,2,2,2,1,
1,2,2,2,2,1,2,2,1,2,2,2,1,2,1,1,2,2,1,2,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,
8,1,6,6,12,8,4,6,8,4,1,1,2,2,2,4,4,4,4,3,2,4,2,4,2,4,2,1,2,4,2,4,1,2,1,2,2,4,
2,4,1,1,2,1,2,1],[1,6,12,7,6,4,12,3,4,3,18,3,12,4,12,4,6,6,1,1,3,3,1,3,3,6,6,
12,6,6,6,6,6,6,3,3,6,3,3,6,6,6,12,6,3,3,2,12,6,1,3,3,1,3,1,3,3,3,3,6,3,3,3,6,
3,3,3,3,3,3,6,6,2,6,6,6,12,12,6,6,6,6,6,6,1,3,3,3,3,6,3,3,6,1],[1,4,6,8,3,6,4,
8,4,4,3,4,1,2,6,4,3,8,8,4,4,4,8,2,6,8,1,1,1,2,2,1,1,2,1,1,2,2,4,4,4,2,4,4,4,4,
2,6,2,4,2,6,6,1,2,1,8,2,5,3,4,6,6,6,4,4,5,3,2,8,10,1,1,2,2,1,1,1,2,1,2,1,3,1,
2,2,3,4,1,2,1,2,2,1,2,2,2,1,1,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,6,4,6,4,2,6,2,
2,2,4,4,6,2,4,4,2,4,4,4,6,1,1,2,1,2,1,2,1,2,2,2,2,1,2,1,2,4,2,1],[1,2,4,12,5,
4,4,8,8,1,6,1,2,1,4,10,2,8,8,4,4,8,2,8,6,1,1,1,2,1,2,2,2,1,2,2,2,2,2,2,2,4,8,
2,2,2,4,8,2,6,2,4,4,2,1,1,8,2,2,4,2,2,8,8,8,4,2,2,4,4,8,8,1,1,2,1,2,1,1,2,2,2,
1,2,1,2,1,2,6,1,2,1,2,1,2,2,2,2,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,8,4,2,
2,4,2,2,2,6,4,4,2,4,2,2,4,2,4,2,8,2,1,1,2,1,2,1,2,1,2,2,2,2,1,2,1,2,2,2,2,1],[
1,12,7,8,8,3,4,6,12,4,24,12,6,1,6,3,2,8,6,12,24,3,6,6,2,1,3,6,3,6,6,6,3,1,3,
1],[1,6,8,7,6,2,4,3,3,2,6,12,3,4,4,6,12,2,4,4,4,4,1,2,6,1,1,3,6,2,2,8,2,2,2,4,
4,4,4,4,4,2,2,1,2,1,2,2,2,1,2,1,2,1,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,10,4,3,6,4,2,4,3,1,2,2,6,2,5,8,4,4,6,12,2,4,4,4,4,1,2,6,1,1,3,6,2,4,
2,2,2,4,2,4,4,4,4,4,4,2,2,1,2,2,1,2,2,1,2,1,2,1,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,6,4,4,9,4,2,4,3,3,2,9,4,2,2,8,4,18,2,2,2,4,4,4,1,2,6,1,
1,9,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,1,2,2,1,2,2,1,2,1,2,1,2,2,1,1,1,1,2,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,3,10,4,2,4,5,4,1,2,2,6,2,3,4,6,12,8,2,4,
4,4,4,1,1,6,1,3,6,2,2,4,4,2,2,2,2,4,4,4,4,4,4,2,1,2,1,2,2,2,1,2,2,1,1,2,1,2,2,
1,1,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,7,10,2,4,5,4,3,2,6,5,4,6,20,
6,4,4,4,1,1,6,1,5,6,6,4,6,6,4,4,4,4,4,2,3,3,2,3,2,2,1,1,2,1,2,2,1,3,3,3,2,2,2,
6,1,1,1,1,1,1,1,1],[1,6,4,9,4,4,2,4,3,6,3,2,9,2,4,18,8,2,6,2,4,4,1,1,6,1,9,2,
2,6,2,2,2,2,6,2,2,4,4,4,4,2,1,2,1,2,2,3,2,2,1,3,1,2,2,1,1,2,1,2,3,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,16,7,4,4,8,2,3,6,2,8,12,4,4,8,10,8,1,3,4,2,2,4,4,8,6,4,12,
4,8,5,4,6,2,1,4,1,2,2,3,6,2,4,6,2,1,1,1,2,1],[1,2,8,7,2,8,4,1,3,4,12,1,4,4,8,
8,4,8,2,4,4,4,4,1,2,2,2,1,1,1,2,8,2,2,8,2,2,2,8,8,8,2,1,2,1,2,2,2,1,2,2,1,2,1,
1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,3,2,12,4,1,1,6,2,3,8,
4,12,8,4,8,2,4,4,4,4,3,2,2,1,1,1,2,8,2,4,2,2,2,4,2,8,8,8,2,1,2,2,1,2,2,1,2,2,
1,2,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,4,13,4,4,1,5,2,
1,4,2,2,8,16,4,12,2,6,2,4,4,2,1,2,2,1,1,1,2,8,2,2,2,2,2,2,2,2,2,8,8,8,2,1,2,2,
1,2,2,3,2,1,2,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,8,7,2,
4,4,4,1,3,4,4,12,1,4,8,4,4,4,6,4,4,4,1,2,2,2,1,2,1,1,8,2,2,8,2,2,2,8,8,8,2,3,
2,1,2,2,2,1,2,1,1,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,14,4,
3,2,4,4,4,4,1,1,2,4,4,2,3,4,8,8,4,4,4,4,2,4,4,4,1,2,2,2,1,1,2,1,8,2,4,2,2,2,4,
2,8,8,8,2,1,2,2,2,1,2,2,1,2,1,1,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,2,12,4,5,4,8,4,1,1,2,1,12,2,6,8,8,4,4,2,2,6,4,4,1,2,2,3,2,1,1,8,2,2,2,
2,2,2,2,2,2,8,8,8,2,2,1,2,2,1,2,2,1,2,1,1,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,10,4,3,6,4,4,4,4,3,4,1,2,4,4,2,1,4,8,4,4,8,4,2,4,4,4,1,1,2,
2,2,1,1,2,8,2,4,2,2,2,2,4,8,8,8,1,2,2,1,2,2,2,1,2,2,1,1,1,1,2,2,2,1,2,1,2,2,2,
1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,14,7,6,4,4,4,3,4,3,4,4,3,4,8,4,12,10,4,4,1,1,
2,2,1,2,3,8,6,6,6,8,8,8,5,3,2,3,2,2,1,1,1,1,2,2,2,3,3,2,2,3,2,6,1,1,1,1,1,1,1,
1],[1,2,8,4,5,4,4,8,4,1,6,1,2,1,8,2,4,8,4,4,8,2,6,6,4,1,1,2,2,2,1,1,2,8,2,2,2,
2,2,2,2,2,2,8,8,8,2,1,2,1,2,2,3,2,2,1,1,1,1,2,2,2,1,2,1,2,2,2,1,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,10,8,3,6,4,4,4,3,4,1,4,4,8,1,4,8,8,4,2,2,2,4,4,4,1,2,1,2,2,2,
1,1,8,2,2,2,2,4,2,4,8,8,8,2,1,1,2,2,2,2,1,2,2,1,1,2,1,1,2,2,1,2,2,1,2,2,1,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,4,14,3,6,4,4,4,3,4,1,6,4,4,3,4,8,8,4,6,4,4,4,1,1,2,
2,2,1,2,1,8,2,2,4,4,6,8,8,8,2,1,2,3,2,3,2,2,1,1,2,1,1,2,2,1,2,2,1,2,2,1,2,2,2,
4,1,1,1,1,1,1,1,1],[1,2,8,8,5,4,8,4,1,6,1,1,8,8,4,8,8,4,6,4,4,4,1,2,1,2,2,2,1,
1,8,2,2,2,2,2,4,8,4,8,8,2,1,1,2,2,2,3,2,2,1,1,2,1,1,2,2,1,2,2,1,2,2,1,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,4,10,3,10,2,4,5,4,1,2,6,6,5,8,6,12,10,4,4,1,1,6,2,1,3,6,
2,4,2,8,8,6,4,4,4,3,2,3,2,3,2,2,1,3,1,2,1,2,3,2,1,2,1,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,6,8,3,10,2,4,5,4,1,2,6,8,3,8,6,12,6,2,2,4,4,1,1,6,2,1,3,6,2,4,2,6,2,8,2,
4,4,4,4,3,1,2,2,2,2,1,2,2,1,3,1,2,1,2,3,2,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,6,8,9,4,2,4,3,6,3,9,8,8,18,6,8,4,1,1,6,2,1,9,6,2,6,2,6,8,4,4,4,3,1,2,2,2,3,
2,2,1,3,3,1,2,3,2,1,2,3,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,10,8,3,2,4,4,8,4,1,1,
6,4,4,4,1,4,8,4,4,2,4,4,4,4,1,2,2,1,2,2,1,1,8,4,2,4,2,2,2,2,8,8,8,2,2,1,1,2,2,
2,2,1,2,1,2,1,1,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,14,8,3,2,4,
4,4,8,1,1,4,4,8,3,4,8,4,4,2,2,2,4,4,4,2,1,2,1,1,2,2,1,8,2,2,4,4,2,2,2,8,8,8,2,
2,1,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,
12,8,5,8,4,8,1,1,1,12,8,6,8,4,2,4,4,4,4,2,1,3,2,1,2,1,8,2,2,2,2,4,2,4,8,8,8,2,
2,1,2,1,2,2,2,1,2,1,2,1,1,1,2,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,
12,8,3,8,16,8,1,6,6,12,4,6,4,8,1,1,2,2,2,12,16,8,6,8,4,1,2,4,2,6,2,1,1,2,2,4,
1,2,2,2,4,4,2,4,1,2,1,2,1,1],[1,4,20,3,4,12,8,8,1,6,10,12,10,8,1,3,2,2,12,8,8,
16,6,4,3,4,2,6,2,1,3,2,4,3,2,2,4,4,2,4,1,2,1,2,1,1],[1,20,7,4,12,8,3,10,20,4,
4,6,8,1,5,2,12,8,8,6,12,8,3,2,4,6,2,1,2,1,2,4,3,6,2,4,6,1,2,1,1,2,1],[1,2,4,8,
13,4,8,1,5,1,4,8,2,16,12,6,8,4,2,1,2,1,1,2,1,2,8,2,10,2,2,4,2,4,8,8,3,2,1,2,2,
2,3,2,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,8,3,2,8,8,
4,1,1,4,6,4,1,4,8,8,4,8,4,2,4,4,4,2,1,2,1,2,1,1,2,8,8,4,2,4,2,2,2,2,8,8,1,2,1,
2,2,2,2,1,2,2,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,3,
2,8,4,8,1,1,4,8,3,4,8,8,4,8,2,6,2,4,4,2,1,2,1,1,2,1,2,8,2,2,8,4,4,2,2,2,8,8,2,
1,1,2,2,2,2,1,2,2,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,
16,3,4,4,8,8,2,1,6,6,2,8,4,4,8,4,6,8,1,1,4,2,2,2,4,4,4,4,8,8,6,4,8,1,2,4,2,6,
2,1,4,2,1,2,2,1,2,2,4,4,2,4,1,2,1,1,2,1],[1,10,8,3,6,2,4,8,3,1,2,6,8,5,4,6,12,
6,2,2,4,4,1,6,1,1,2,3,6,2,2,8,4,2,6,2,4,4,4,4,2,3,1,2,2,2,2,1,2,1,2,3,1,2,1,3,
1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,6,8,3,6,2,8,4,3,1,2,6,6,4,3,4,6,12,
6,4,4,4,1,6,1,2,1,3,6,4,6,4,2,2,6,2,4,4,4,4,2,3,1,2,2,2,2,1,2,1,2,3,1,2,1,3,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,8,9,2,4,8,3,3,9,4,8,2,18,2,8,4,4,1,
6,1,1,2,9,2,2,2,6,4,2,8,4,4,4,4,2,3,2,1,2,2,2,1,2,1,2,3,1,2,1,3,1,1,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,15,4,8,5,6,30,12,8,6,12,1,15,2,2,2,12,12,12,4,3,2,6,
4,2,1,3,6,3,2,6,4,2,4,1,2,1,1,2,1],[1,4,15,8,5,4,2,30,12,8,4,2,12,15,1,2,2,4,
4,2,12,12,8,1,2,2,6,4,2,1,1,2,6,1,2,4,2,6,4,2,1,2,1,1,2,1],[1,4,4,11,8,1,2,6,
4,2,10,12,16,8,6,12,1,1,2,4,2,2,4,4,4,4,4,8,4,2,12,4,3,2,6,4,2,1,1,2,4,2,1,2,
4,4,2,2,4,2,1,2,1,2,1,1],[1,4,11,4,8,1,6,2,6,10,12,8,16,4,2,12,1,1,2,2,4,2,4,
4,4,4,8,2,12,4,4,4,1,2,2,6,4,2,1,1,2,4,2,2,1,2,4,2,4,2,4,1,2,1,1,2,1],[1,12,7,
8,16,1,12,6,6,12,8,4,2,4,8,1,3,4,8,2,2,4,4,2,4,4,8,16,1,4,2,2,2,4,2,1,1,2,4,2,
4,1,2,4,2,2,4,2,1,2,1,1,2,1],[1,2,2,8,5,2,8,8,8,1,1,4,1,4,8,2,12,4,4,4,4,2,4,
4,4,1,1,2,2,2,8,1,1,2,2,2,4,2,4,2,2,8,8,8,1,2,2,2,1,1,2,4,2,1,1,1,1,2,2,2,2,2,
1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,13,4,4,1,6,5,1,8,8,16,12,2,8,4,4,
1,2,1,2,2,1,1,2,8,2,10,2,2,2,4,4,8,8,2,3,1,2,2,2,1,2,2,1,1,1,2,2,1,2,1,2,1,2,
2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,3,6,8,4,3,4,1,4,8,1,8,8,8,4,8,2,6,2,4,
4,1,2,1,2,2,1,1,2,8,2,2,8,2,2,4,2,4,8,8,2,2,1,1,2,2,2,2,1,2,1,1,1,2,2,1,2,1,2,
1,2,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,6,3,6,8,4,3,4,1,4,6,3,8,8,8,4,8,4,6,
4,4,1,2,1,2,2,1,1,2,8,2,8,2,4,4,6,8,8,2,1,2,2,3,2,3,2,1,1,1,2,2,1,2,1,2,1,2,2,
2,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,12,8,1,18,16,6,12,8,6,8,4,3,12,1,2,2,2,4,4,
12,4,16,3,2,4,2,4,2,1,3,2,4,3,2,4,2,4,2,4,1,2,1,1,2,1],[1,2,4,13,4,4,4,1,6,5,
2,1,2,16,4,12,8,2,2,2,4,4,4,1,2,1,2,1,1,2,2,8,2,2,2,2,2,2,2,2,2,8,8,8,2,2,1,2,
1,2,2,1,2,2,1,1,2,1,2,1,2,1,2,1,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,7,6,8,
4,3,4,3,4,3,4,8,8,12,8,6,4,4,4,1,1,2,2,1,3,2,8,6,6,6,8,8,8,2,2,3,3,2,3,2,1,1,
2,1,2,1,2,3,3,2,3,2,2,6,1,1,1,1,1,1,1,1],[1,2,4,3,6,12,4,3,4,1,6,2,1,12,8,4,8,
8,2,4,4,4,4,1,3,2,1,1,2,2,8,2,4,2,2,2,2,4,8,8,8,2,2,1,2,1,2,2,2,1,2,1,1,2,1,2,
1,2,1,2,1,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,9,2,3,3,9,8,4,18,8,12,6,2,
9,4,4,8,4,8,2,6,2,2,4,2,8,16,4,1,4,2,1,4,1,4,1,1,1,2,4,4,2,2,2,2,1,4,4,4,2,1,
1,1,2,2,2,2,2,1],[1,6,4,9,4,2,3,6,3,9,4,2,18,12,8,1,6,1,9,6,2,2,6,4,4,4,2,4,2,
2,4,6,4,2,16,4,1,4,1,1,1,4,1,4,1,2,4,2,2,3,1,2,2,1,1,3,2,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,6,4,3,10,2,5,4,1,2,6,2,3,4,6,12,2,2,4,4,4,4,1,6,1,3,6,2,4,2,2,2,2,
2,4,4,4,2,2,2,1,1,2,2,2,4,3,1,2,2,8,8,2,2,1,2,2,1,1,1,4,1,4,1,2,2,2,2,2,1,2,1,
2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,6,3,6,4,2,3,1,2,2,6,6,3,4,
6,12,2,6,4,8,1,1,6,3,6,2,4,2,6,6,4,4,4,2,3,2,1,4,2,4,2,2,8,8,4,1,1,2,2,1,1,4,
1,4,1,2,2,2,2,3,2,2,1,2,1,3,1,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,4,7,6,2,3,3,
2,6,6,3,4,6,12,8,2,2,4,4,1,1,6,3,6,2,2,4,6,6,4,4,2,2,2,1,1,8,2,4,2,2,8,8,4,1,
1,2,2,1,1,4,1,4,1,2,2,2,2,3,2,2,1,2,1,3,1,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,
4,9,4,2,3,3,2,9,6,4,18,2,4,6,4,4,1,1,6,9,2,2,4,6,6,4,4,2,2,2,2,3,1,4,2,4,2,2,
16,4,1,1,4,1,1,4,1,4,1,2,2,2,2,3,2,2,1,2,1,3,1,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,6,9,8,2,3,3,4,9,8,18,4,4,4,8,2,6,9,4,4,8,4,8,2,4,2,2,2,2,2,2,8,16,4,1,4,
1,4,1,2,4,1,1,1,2,2,2,2,4,2,2,2,1,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,6,7,6,4,2,3,3,
2,2,6,3,4,4,6,12,2,2,4,4,8,1,1,6,3,6,2,2,2,2,4,4,4,4,4,2,4,2,1,2,1,2,2,2,4,4,
8,8,4,1,2,2,1,4,1,1,1,4,1,1,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,6,8,9,2,8,3,3,9,4,18,4,4,4,8,6,2,9,4,4,4,8,8,2,2,
2,2,2,4,4,4,2,2,16,4,1,4,1,4,2,1,4,1,2,2,4,2,4,4,2,1,4,4,4,2,1,1,1,2,2,4,2,
1],[1,10,4,3,6,2,4,4,3,1,2,6,2,5,6,12,2,2,4,4,4,4,6,1,1,3,6,2,2,2,2,2,2,4,4,4,
4,2,2,1,1,3,1,4,2,2,2,2,2,2,8,8,2,2,1,2,2,1,4,1,1,1,4,1,2,2,2,2,1,1,2,2,2,2,1,
1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,9,1,3,15,4,12,4,4,8,8,1,3,3,8,4,
2,12,2,8,8,1,2,2,2,2,1,2,2,2,2,1,1,1,1,1],[1,6,9,1,3,15,4,12,4,8,4,8,1,3,3,8,
4,2,4,8,2,8,8,1,2,2,2,2,2,1,2,2,2,1,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,4,
8,8,1,1,2,2,1,8,2,2,4,4,8,8,8,1,2,2,2,1,2,2,2,1,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,
1,4,2,8,4,8,4,4,8,8,1,1,2,2,1,8,2,2,4,4,8,8,8,1,2,2,2,1,2,2,2,1,2,2,1,1,1,1],[
1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,4,8,8,1,1,2,2,1,8,2,2,4,4,8,8,8,1,2,2,2,1,2,2,2,
1,2,2,1,1,1,1],[1,6,9,1,3,15,4,12,4,4,16,1,3,3,8,2,24,2,8,1,4,2,2,1,4,4,1,2,1,
1],[1,6,9,1,3,15,4,12,4,8,4,8,1,3,3,8,2,4,8,12,2,8,1,2,2,2,2,2,1,2,2,2,1,1,1,
1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,8,4,8,1,1,2,2,1,8,2,2,4,8,12,8,1,2,2,2,1,
2,2,2,1,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,8,4,8,1,1,2,2,1,8,2,2,4,8,
12,8,1,2,2,2,1,2,2,2,1,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,12,4,8,1,1,2,
2,1,8,2,2,4,8,4,8,8,1,2,2,2,1,2,2,2,1,2,2,1,1,1,1],[1,2,8,5,8,1,1,1,8,4,8,4,8,
8,8,2,2,2,1,8,2,2,2,4,4,8,2,4,8,1,2,1,2,1,2,2,1,1,2,2,2,1,1,1,1],[1,2,4,5,4,1,
6,1,1,4,2,8,4,8,4,8,4,8,1,1,2,2,1,8,2,4,2,4,8,8,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,
1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,8,4,8,1,1,2,2,1,8,2,4,2,4,8,8,8,1,2,2,2,1,2,
2,1,2,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,4,8,8,1,1,2,2,1,8,2,4,2,4,8,
8,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,8,4,8,12,1,1,2,
2,1,8,2,4,2,12,8,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,8,4,
8,4,8,8,4,1,1,2,2,1,8,2,4,2,12,8,8,1,2,2,2,1,2,2,1,2,2,2,1,1,1,1],[1,2,4,5,4,
1,6,1,1,4,2,8,4,8,4,8,8,4,1,1,2,2,1,8,2,4,2,4,8,8,8,1,2,2,2,1,2,2,1,2,2,2,1,1,
1,1],[1,2,13,1,5,1,16,12,4,4,4,12,2,2,1,2,8,6,2,6,2,12,8,1,1,3,2,1,1,2,2,2,2,
2,1,1,1,1],[1,4,4,11,1,2,6,4,2,10,16,12,10,1,1,2,4,4,4,4,4,4,5,4,4,4,6,8,4,1,
1,2,2,1,3,4,4,2,2,1,2,2,2,1,2,1,2,1,2,2,2,1,2,1,2,2,1],[1,4,4,11,1,2,6,4,2,10,
16,12,10,1,1,2,4,4,4,2,2,2,2,4,2,5,2,2,6,2,4,8,4,1,1,1,1,2,1,1,2,5,3,1,3,1,2,
1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,4,11,4,1,6,2,6,10,16,8,14,1,1,
2,4,4,4,4,4,4,4,7,4,4,4,8,4,1,1,2,2,1,1,2,2,6,1,4,2,2,2,3,2,1,1,2,2,2,2,1,1,2,
2,1],[1,4,8,3,4,4,2,1,6,2,2,8,4,4,8,4,4,2,12,1,1,4,2,4,4,4,4,4,1,6,4,2,2,4,4,
8,4,1,2,1,2,1,1,2,2,2,4,2,3,2,2,2,1,2,2,1,1,2,2,2,2,1,1,2,2,1],[1,2,6,4,5,2,4,
1,1,1,1,2,6,1,4,8,4,8,4,2,2,6,8,1,1,4,1,1,2,2,2,2,2,2,2,2,4,3,4,2,2,1,1,2,4,2,
2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,8,7,4,4,2,3,2,2,8,4,4,4,8,8,4,6,4,1,1,4,2,4,4,4,4,4,3,
2,2,8,4,4,8,4,1,1,2,2,1,3,4,2,2,2,2,1,1,2,2,2,2,1,2,1,2,2,2,2,1,1,2,2,1],[1,2,
6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,2,6,4,2,8,1,1,4,1,1,2,2,2,2,2,2,4,2,2,1,4,3,
2,1,4,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,6,2,
4,6,4,1,1,4,1,1,2,2,2,2,2,2,2,2,4,3,2,2,1,2,3,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,2,
1,1,3,1,2,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,
6,5,2,4,4,1,1,1,2,1,2,1,4,8,4,4,8,2,6,4,2,8,1,1,4,1,1,2,2,2,2,2,2,2,2,4,1,4,2,
3,2,1,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,3,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,7,4,4,2,3,2,2,8,4,4,4,8,4,4,4,2,8,1,1,
4,2,4,4,2,2,2,2,4,1,4,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,8,9,8,8,1,3,4,
15,8,4,8,4,8,12,4,4,8,1,2,3,2,2,2,3,8,8,8,8,4,8,8,4,8,4,8,2,4,2,2,2,8,4,1,1,1,
2,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,1,2,2,4,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,10,4,
7,2,8,4,4,1,3,4,4,4,6,1,4,8,8,4,8,4,8,2,2,4,8,1,2,2,1,2,2,2,1,2,8,8,4,4,8,2,2,
4,12,4,8,2,2,4,4,2,4,2,1,1,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,
2,4,1,1,1,1,1,2,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,12,13,4,8,1,6,
5,1,12,6,8,16,12,12,4,1,2,2,2,3,2,1,2,8,8,2,2,2,2,12,8,8,24,2,2,2,4,6,4,4,1,1,
1,1,1,1,2,2,2,1,1,2,2,2,1,4,4,3,1,2,2,6,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,10,4,
3,6,8,4,4,3,4,1,4,4,4,2,1,4,8,4,8,8,4,8,2,2,4,4,4,1,2,2,2,2,1,2,1,2,8,8,2,2,2,
2,2,2,8,8,8,8,8,8,2,1,1,2,2,2,4,3,1,2,2,2,1,1,1,1,1,1,2,2,2,1,1,2,2,2,1,4,2,2,
1,2,1,2,2,2,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,10,4,7,2,8,4,4,1,3,4,4,4,6,
1,4,8,4,8,8,4,8,4,6,2,4,1,2,2,1,2,2,2,1,2,8,8,2,2,4,8,2,2,8,8,8,8,8,2,3,1,6,2,
4,2,4,1,1,1,1,1,1,2,2,1,2,2,2,1,2,1,1,2,4,1,2,2,2,2,2,4,4,4,1,1,1,1,1,2,1,1,2,
2,2,1],[1,4,10,3,2,12,4,4,1,1,6,6,4,4,1,4,8,12,8,4,8,6,2,4,4,3,1,2,2,2,2,1,2,
8,8,2,12,2,2,2,8,8,8,16,2,1,2,3,4,2,4,2,4,1,1,1,1,1,1,2,2,1,2,2,2,1,2,1,1,2,4,
3,2,4,2,4,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,2,8,4,13,4,8,1,5,2,1,8,6,4,8,16,4,
12,2,4,6,4,2,1,2,1,2,2,2,1,2,8,8,2,2,8,4,2,2,8,8,8,16,2,2,3,1,4,2,4,2,4,1,1,1,
1,1,1,2,2,1,2,2,2,1,2,1,1,2,4,2,1,2,4,2,4,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,2,
12,13,4,1,6,5,1,12,6,8,16,12,8,4,12,1,2,2,3,2,2,1,2,8,8,8,4,12,16,4,8,8,2,6,2,
2,8,4,1,1,2,1,1,1,1,2,2,2,2,2,2,2,4,4,3,2,4,2,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[
1,2,8,8,13,8,8,1,5,1,8,4,4,8,16,12,4,4,8,2,2,2,2,2,2,1,2,8,8,4,4,4,16,16,16,2,
2,2,4,4,4,2,4,1,1,1,2,1,2,2,2,4,4,4,2,4,4,1,4,4,4,4,1,2,2,2,1,1,2,4,1],[1,14,
4,3,2,8,4,4,4,4,1,1,4,4,4,2,3,4,8,8,8,4,8,2,2,4,4,4,2,2,2,2,1,2,1,1,2,8,8,2,2,
2,2,2,2,8,8,8,8,8,8,1,1,3,1,4,2,2,2,2,2,2,2,1,1,1,1,1,1,2,2,1,1,2,2,2,2,4,1,1,
2,2,2,2,1,2,2,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,4,8,11,12,1,18,16,2,6,8,4,
16,10,16,16,8,6,3,12,1,2,4,4,2,4,4,4,16,8,8,16,4,4,4,12,8,3,4,8,8,1,2,1,2,2,1,
2,1,2,3,2,4,8,4,8,1,3,2,2,8,8,2,2,1,1,2,1,2,2,2,1],[1,6,6,3,14,6,1,18,16,1,1,
3,3,6,6,4,12,2,8,6,6,16,4,1,3,4,4,2,3,12,1,3,3,3,3,4,2,2,2,2,2,6,8,1,3,4,3,3,
6,12,2,2,4,2,2,2,2,8,2,2,4,1,2,3,3,6,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,3,3,6,3,3,6,1,1,2,1,1,1,1,2,2,4,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,
20,11,16,16,1,2,6,20,10,16,10,16,4,10,4,1,5,4,4,8,2,4,4,4,16,4,4,8,20,12,8,8,
5,2,8,8,1,2,1,2,2,1,2,1,2,1,4,2,8,8,8,3,5,4,2,8,2,2,2,1,1,1,2,2,2,1],[1,4,16,
11,4,8,16,1,6,2,6,16,8,8,8,10,16,8,8,6,1,2,1,4,2,4,2,8,2,2,4,4,4,8,8,2,4,4,2,
12,6,8,4,6,4,12,3,4,4,4,8,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,2,4,4,4,4,3,1,1,2,1,
3,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,10,1,8,6,4,4,8,8,3,4,1,1,
1,3,5,1,6,8,2,4,16,2,8,2,2,16,4,1,2,1,4,4,2,1,2,1,1,1,4,2,2,2,8,1,3,4,2,2,2,2,
8,2,2,4,2,1,1,2,1,1,2,2,2,2,2,6,4,2,8,2,2,2,4,4,2,2,8,1,2,2,2,1,1,2,4,2,2,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,1,4,2,
2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,8,8,3,4,8,4,16,2,1,4,6,2,12,2,8,4,
16,8,4,8,16,4,4,2,4,2,1,1,2,4,4,12,2,4,16,4,4,8,8,4,4,4,4,4,8,4,4,4,8,1,2,2,2,
8,8,1,2,1,2,2,1,2,1,2,2,1,2,2,2,1,2,8,8,2,2,2,1,2,8,8,2,2,1,1,2,1,2,2,2,1],[1,
6,6,8,9,2,4,4,16,1,1,3,2,15,2,12,1,4,8,8,4,4,12,8,8,2,2,4,2,4,1,1,3,1,2,2,4,
12,1,3,2,8,8,2,2,2,2,4,8,4,2,4,2,2,4,2,4,8,2,2,4,2,2,4,4,1,2,1,2,1,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,2,4,4,4,4,2,1,1,1,1,1,1,1,4,4,4,4,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,7,4,16,4,2,3,8,2,2,8,4,4,32,16,4,8,16,4,6,
4,1,8,1,4,4,2,4,8,16,4,4,4,4,4,4,4,8,12,8,4,4,8,3,2,2,8,8,1,2,1,2,2,1,2,1,1,2,
4,2,1,2,2,8,3,2,2,2,8,8,8,2,2,1,1,2,1,2,2,2,1],[1,2,6,13,2,12,4,1,1,5,6,1,2,1,
4,8,16,28,8,12,8,8,2,2,2,8,2,7,1,4,2,2,1,1,2,2,8,8,8,2,2,2,2,2,2,2,2,2,2,4,4,
8,4,16,4,2,2,4,4,1,4,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,
1,4,4,1,4,1,1,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,4,13,2,8,
4,1,1,5,4,1,2,6,1,4,8,8,16,24,12,8,8,2,6,2,4,2,6,1,1,2,4,2,1,1,2,2,8,8,8,2,2,
2,2,2,2,2,2,8,4,2,2,4,2,4,4,8,4,2,8,4,1,2,1,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,1,2,1,1,4,1,1,1,4,2,1,4,2,1,4,2,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,8,4,7,4,12,4,2,3,6,2,6,2,8,4,8,4,28,8,4,8,8,8,2,4,2,2,4,1,7,1,1,2,4,2,
2,2,2,8,8,8,4,4,2,2,2,2,4,8,2,2,4,4,2,4,4,4,2,4,4,4,4,1,2,2,1,1,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,4,1,1,1,4,1,2,4,1,1,1,4,1,1,2,1,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,9,2,12,4,1,1,3,6,15,2,1,4,8,4,28,8,12,8,8,
6,2,2,4,1,7,3,1,4,2,1,3,2,8,8,8,2,2,2,2,4,16,2,2,4,2,2,2,4,4,4,2,2,2,8,4,1,2,
1,7,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,6,1,1,1,4,7,1,2,4,1,1,1,1,1,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,12,9,2,1,8,20,8,1,1,12,2,14,1,8,4,
8,6,15,4,2,2,2,8,1,2,3,2,1,2,1,2,13,2,8,3,2,6,2,2,4,1,1,2,1,2,2,4,1,2,6,12,2,
2,2,2,4,18,1,1,2,2,8,4,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,2,1,1,7,2,2,1,
1,2,3,4,2,1,2,1,2,7,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,12,10,1,4,6,1,2,
2,4,8,4,16,1,1,1,2,5,3,4,8,2,16,8,2,4,5,2,4,8,1,2,1,2,4,4,3,2,1,2,1,2,1,1,2,4,
2,8,8,1,2,2,2,4,2,2,4,1,1,2,2,1,2,2,2,1,2,4,2,8,4,2,2,2,2,2,2,2,4,4,8,1,1,2,2,
2,2,4,4,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,4,2,2,1,1,2,1,2,
4,2,1,2,1,2,1,2,4,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,18,6,3,2,6,1,2,6,16,
12,1,1,12,2,3,6,4,6,16,2,4,1,6,4,8,1,3,2,4,4,3,1,2,2,3,4,8,1,3,2,8,1,2,2,2,4,
2,2,4,1,3,3,6,3,2,4,4,8,2,2,2,2,2,2,4,2,8,4,3,3,2,2,4,4,1,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,3,1,1,1,2,4,2,2,1,3,2,1,4,2,3,3,2,1,4,4,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,6,9,2,3,3,9,18,4,4,6,9,2,2,2,2,2,2,16,8,1,4,1,4,1,4,4,4,4,
1,2,4,1],[1,2,4,13,4,1,6,5,1,4,2,8,16,12,8,4,1,2,2,1,2,2,1,2,8,8,8,8,2,2,2,8,
1,1,1,2,4,2,4,4,4,4,1,2,2,2,1],[1,6,8,9,8,1,3,15,8,4,8,4,12,4,1,3,2,2,2,3,8,8,
8,8,2,2,2,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,2,8,5,8,8,1,1,4,1,8,4,8,8,4,4,4,
4,4,4,2,2,2,2,1,8,2,2,2,4,4,2,8,4,2,2,2,2,2,4,4,8,4,1,1,2,1,1,1,1,1,1,1,2,1,1,
2,1,1,1,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,7,2,4,
4,4,1,3,2,4,4,1,4,8,4,4,4,2,6,4,8,1,1,2,2,2,1,8,2,2,2,4,4,2,4,8,4,3,2,1,4,4,4,
4,4,1,1,1,1,1,1,1,2,2,3,1,2,1,2,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1],[1,10,7,2,4,4,4,1,3,2,4,4,1,4,8,4,4,4,6,2,4,4,4,1,1,2,2,2,1,8,2,2,
2,4,4,2,8,4,2,2,1,2,7,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,3,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,4,7,2,4,4,1,3,4,4,6,1,4,8,
4,4,4,2,2,4,8,1,2,1,2,2,1,8,4,2,2,8,2,4,2,4,2,4,1,1,2,4,4,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,10,3,2,4,4,4,1,1,2,6,4,4,1,4,8,4,4,2,2,4,4,8,1,1,2,2,2,1,8,4,2,2,8,2,
4,2,4,2,4,1,2,1,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,2,2,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,4,5,4,8,1,1,2,1,8,6,4,8,4,4,2,4,
2,4,8,1,2,1,2,2,1,8,4,2,2,8,2,4,2,4,2,4,2,1,1,4,4,8,4,1,2,1,1,1,1,1,1,1,1,2,1,
2,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,4,13,
4,1,6,5,1,4,2,16,12,8,12,1,2,2,1,1,2,8,2,2,4,2,4,2,8,4,6,4,4,4,8,4,1,1,1,2,1,
1,1,3,3,1,1,2,1,5,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,13,
1,5,1,8,4,16,12,12,8,2,2,2,1,2,8,2,2,2,4,4,2,12,4,4,6,4,8,4,1,1,1,2,1,2,3,3,3,
1,2,1,3,2,2,1,1,1,1,3,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,2,6,4,5,2,8,4,1,1,1,4,1,
2,6,1,4,8,8,8,4,8,8,2,2,6,8,2,1,1,2,4,1,1,2,8,2,2,2,2,4,2,2,4,2,4,4,4,4,2,4,3,
4,2,1,1,2,12,4,4,4,1,1,1,1,1,3,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,
2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,4,7,4,4,4,2,3,2,2,6,2,8,4,8,4,4,
4,8,8,2,2,6,8,1,1,1,1,2,4,2,2,8,4,4,4,2,2,4,2,4,4,4,4,2,4,3,4,2,1,1,2,4,8,4,4,
4,1,1,1,1,1,1,2,1,1,1,1,2,1,1,3,1,1,1,2,1,1,1,1,1,4,1,1,1,1,2,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,6,6,9,2,4,4,1,1,3,2,15,2,1,4,8,4,4,12,8,2,2,2,12,1,
1,3,1,4,1,3,8,2,2,2,2,4,2,2,4,2,2,2,4,4,2,2,2,4,1,6,2,1,1,2,8,4,4,4,4,1,1,1,1,
1,2,1,1,1,1,2,1,1,3,2,1,1,2,1,1,1,1,1,4,1,1,1,1,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,2,6,13,2,4,4,1,1,5,2,1,2,1,4,8,16,4,12,8,6,2,2,8,2,1,1,4,2,1,
1,2,8,2,2,2,2,2,2,2,2,2,2,4,8,2,2,4,4,1,4,2,1,7,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,2,1,1,2,1,4,1,1,1,1,1,4,2,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,8,7,4,8,4,2,3,4,2,2,8,4,4,8,8,4,8,8,4,4,2,8,1,2,1,4,2,2,2,8,4,4,2,2,2,2,
2,2,4,8,2,2,4,4,1,4,2,2,2,4,2,4,4,8,4,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,3,1,1,1,1,1,4,2,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,5,2,12,4,
1,1,1,6,1,2,1,4,8,12,8,4,8,8,2,2,4,6,4,3,1,4,2,1,1,2,8,2,2,2,2,2,2,2,2,4,4,8,
4,4,4,3,2,2,1,2,1,4,2,8,4,4,4,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,
1,1,1,4,2,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,4,5,2,8,4,1,1,1,4,1,
2,6,1,4,8,8,8,4,8,8,4,6,2,2,4,2,1,1,2,4,1,1,2,8,2,2,2,2,2,2,4,2,2,4,2,2,4,2,2,
4,4,1,2,3,1,2,4,2,8,2,4,4,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,
1,4,1,1,1,1,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,4,7,4,4,4,2,3,2,2,
6,2,8,4,8,4,4,4,8,8,6,4,2,2,4,1,1,1,1,2,4,2,2,8,4,4,2,2,4,2,2,4,2,2,4,2,2,4,4,
1,2,2,1,7,2,8,2,8,4,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,4,1,1,
1,1,1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,9,2,4,4,1,1,3,2,15,2,1,
4,8,4,4,12,8,2,2,8,2,4,1,1,3,1,4,1,3,8,2,2,2,2,2,4,2,2,2,4,2,2,4,2,2,4,4,1,2,
1,4,1,4,2,8,2,4,4,4,1,1,1,1,1,2,1,1,1,1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,4,1,1,1,1,
1,1,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,8,3,4,8,4,2,1,4,6,2,2,8,4,8,8,
4,8,8,4,4,4,2,4,2,1,1,4,2,2,2,8,4,4,2,8,2,4,4,4,2,4,2,4,1,2,2,2,2,4,2,4,2,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,2,1,2,1,4,1,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,4,5,2,8,4,1,1,1,4,1,2,6,1,4,8,8,8,4,8,8,4,
6,2,2,4,2,1,1,4,2,1,1,2,8,2,2,2,2,2,2,8,2,2,2,2,4,2,4,2,4,1,2,3,1,2,4,2,4,2,4,
4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,4,1,4,4,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,6,4,13,2,4,1,1,5,1,2,6,1,4,8,16,12,8,4,
2,6,2,4,2,1,1,4,2,1,1,2,8,2,2,2,2,2,2,8,2,2,2,2,4,2,4,2,4,1,2,1,3,6,2,4,2,4,4,
4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,2,1,4,1,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,4,8,11,4,1,6,2,6,8,4,8,10,16,8,12,6,1,1,2,2,2,2,4,
4,4,8,2,2,2,2,4,4,4,4,4,8,3,2,2,4,6,8,8,4,1,1,1,2,1,2,1,1,2,2,1,2,2,2,2,1,2,1,
1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,3,6,6,1,6,1,1,3,3,
6,6,4,4,2,8,6,6,8,4,1,4,3,4,4,2,1,1,3,1,3,1,4,2,2,2,2,2,6,1,1,2,2,3,1,2,2,2,4,
2,2,2,2,2,2,4,1,2,2,2,2,2,2,1,1,4,6,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,12,11,8,1,2,6,12,6,8,10,16,8,10,2,1,3,2,2,4,4,4,8,4,4,4,8,4,4,8,2,5,4,
4,2,8,8,4,1,1,1,2,1,2,1,1,2,2,2,1,1,1,2,1,4,2,4,4,1,2,2,2,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,4,8,11,4,8,1,6,2,6,8,4,8,10,16,12,6,1,2,1,2,2,2,4,4,4,8,4,
2,2,4,8,2,4,2,4,4,3,2,2,4,6,4,4,8,4,1,1,1,1,1,1,2,1,1,3,1,2,3,1,1,2,1,2,1,4,4,
2,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,8,2,1,8,6,4,4,3,4,1,1,1,
3,1,1,6,8,2,4,2,8,2,2,8,4,1,2,5,4,4,2,1,2,1,1,1,2,1,1,4,2,2,2,2,2,2,4,2,2,1,1,
1,1,2,2,2,6,2,2,2,2,4,2,2,1,2,2,2,2,2,3,4,1,2,4,2,2,4,2,2,1,1,1,1,1,1,1,1,1,2,
1,1,1,2,1,2,1,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,4,8,11,4,1,6,2,6,8,4,8,10,16,8,4,14,1,1,2,2,2,2,4,4,4,8,2,2,4,
6,4,4,6,4,4,2,7,2,2,12,8,4,1,1,3,1,2,1,1,1,3,1,2,3,1,3,2,1,1,1,1,1,3,1,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,6,6,4,9,2,1,8,4,1,1,12,2,2,1,8,4,6,15,4,2,
6,2,8,1,3,2,1,1,2,1,3,2,6,2,2,4,1,1,2,1,2,2,1,2,2,4,2,2,2,2,4,6,2,1,2,5,2,2,8,
4,2,1,4,4,1,1,1,1,1,1,1,1,1,1,1,3,3,1,3,1,1,3,1,1,1,1,2,2,1,1,2,1,1,1,2,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,6,3,2,6,1,2,6,4,1,1,4,2,3,2,4,6,8,2,
4,1,6,4,8,1,4,3,2,4,4,1,1,2,2,1,1,1,2,1,2,2,2,4,2,2,4,1,1,2,1,2,2,3,2,4,2,2,2,
2,2,2,2,4,2,1,4,1,2,2,2,2,2,4,4,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,2,
1,1,1,2,1,1,1,1,1,2,2,1,1,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,2,12,2,1,4,6,1,2,2,4,4,1,1,1,2,1,3,4,8,2,8,2,4,5,2,4,8,1,2,5,2,4,4,1,2,1,2,
1,1,1,2,1,2,2,2,4,2,2,4,1,1,2,2,1,2,1,2,2,4,2,2,2,2,2,2,2,4,2,4,1,3,2,2,2,2,4,
4,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,2,1,1,1,1,2,2,1,1,2,1,
1,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,11,4,1,6,2,6,10,16,4,2,8,
1,1,2,4,4,4,4,4,4,1,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[1,4,4,11,1,2,6,4,2,10,16,6,
8,1,1,2,4,4,4,4,4,4,3,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,12,7,16,1,12,6,6,4,2,8,1,
3,4,8,4,8,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,15,5,4,2,30,4,2,8,15,1,4,8,1,4,
2,4,1,1,2,2,1,2,2,1,1,1,1],[1,15,4,5,6,30,6,8,1,15,12,3,4,4,1,3,2,3,2,1,1,1,
1],[1,7,12,1,18,16,6,6,8,3,12,1,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,4,8,3,4,4,2,1,
6,2,2,8,4,4,8,4,2,8,1,1,4,2,4,4,4,4,4,1,2,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,12,7,
4,12,3,6,12,4,4,8,2,1,3,12,4,8,1,2,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,4,12,3,4,12,
1,6,6,12,6,8,1,3,12,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,4,4,8,3,16,1,6,2,12,4,2,4,
8,1,1,2,12,4,8,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,7,8,3,4,2,4,4,24,4,2,8,1,6,
1,8,4,8,1,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,8,7,4,4,2,3,2,2,8,4,4,4,8,8,6,1,1,4,
2,4,4,4,4,4,3,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,2,4,5,4,1,6,1,1,4,2,4,8,4,4,8,1,1,
1,2,2,2,2,4,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,2,2,1,2,1,1,1,1,4,4,1,1,1,1,1,1,1,
1],[1,2,4,3,6,3,4,1,2,1,4,4,6,2,4,4,4,4,1,1,1,2,2,2,2,2,2,2,1,3,2,2,2,2,2,4,3,
1,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,3,6,3,4,1,
2,1,4,4,2,6,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,1,1,2,2,2,2,2,4,3,1,2,2,1,1,1,1,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,3,2,4,1,1,2,6,1,4,4,2,2,4,4,
4,4,4,1,1,1,2,4,2,2,2,2,1,2,1,4,2,4,2,2,2,2,4,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,4,
4,1,1,1,1,1,1,1,1],[1,2,4,7,2,1,3,6,1,4,4,4,2,2,4,4,4,4,1,1,1,2,2,4,2,2,2,1,1,
6,2,4,2,2,2,2,4,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,4,5,4,
1,1,2,1,6,4,4,2,8,2,4,8,1,1,1,2,2,4,2,2,2,2,1,1,4,2,4,4,4,4,1,1,1,1,2,2,2,2,1,
2,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,2,8,5,8,1,1,1,4,4,8,8,4,4,2,1,4,4,4,2,2,2,2,
2,2,4,4,4,4,1,2,1,2,2,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,6,4,3,2,4,4,1,1,
2,3,4,6,2,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,1,3,3,1,4,2,2,2,2,2,2,1,1,1,1,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,3,2,4,4,1,1,2,3,4,2,6,4,4,4,4,1,
1,1,2,2,2,2,2,2,2,2,2,1,1,3,1,4,2,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,2,8,5,8,1,1,4,1,8,4,8,4,8,4,2,2,1,4,4,4,4,4,4,2,2,4,2,
8,8,4,4,4,2,1,2,1,1,1,1,2,2,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,2,5,8,
1,1,4,1,8,4,4,8,4,2,1,4,4,4,2,2,4,2,2,8,4,4,1,2,1,1,1,2,2,1,2,4,4,2,2,2,1,1,1,
2,2,1],[1,2,8,5,1,1,1,8,4,4,4,8,4,2,1,4,4,4,2,2,4,2,2,8,4,4,2,1,1,1,1,2,2,1,2,
4,4,2,2,2,1,1,1,2,2,1],[1,12,7,8,1,12,6,6,12,8,6,4,1,3,2,2,12,4,12,2,4,4,3,2,
2,4,2,4,1,3,2,3,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,8,7,4,8,1,6,8,4,6,12,8,4,2,4,1,
1,2,2,2,8,4,2,4,4,4,4,8,1,2,2,2,4,2,4,1,2,1,1,2,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[
1,4,12,3,8,8,8,1,4,6,6,4,8,4,6,2,1,1,2,2,8,8,6,4,4,8,1,2,2,6,2,4,1,1,2,2,2,2,
1,4,2,4,2,4,4,1,1,1,2,2,1],[1,12,7,8,8,3,4,6,12,4,8,6,4,1,2,3,2,6,12,8,4,8,3,
2,6,2,4,1,3,2,6,1,2,6,2,4,4,1,1,1,2,2,1],[1,12,7,1,12,6,6,6,8,8,1,3,12,12,3,4,
4,1,2,2,3,3,1,1,1,1],[1,8,7,4,1,6,8,4,6,4,2,8,8,1,1,2,8,4,4,8,1,4,2,4,1,2,2,2,
1,1,2,1,1,1,1],[1,4,7,8,3,4,2,4,4,8,8,2,4,8,1,2,1,4,8,4,8,1,2,4,4,1,2,2,1,2,1,
2,1,1,1,1],[1,4,4,3,8,1,4,6,2,4,8,4,2,8,8,2,1,1,8,4,4,8,1,2,4,4,1,2,2,1,2,2,1,
1,1,1,1],[1,2,4,8,5,4,8,1,2,4,2,4,2,8,4,8,1,2,1,4,8,4,8,1,2,4,4,1,2,2,1,2,1,2,
1,1,1,1],[1,2,5,1,1,1,4,4,4,8,4,1,2,2,4,2,2,2,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,
1],[1,7,4,1,6,6,4,6,8,1,1,4,3,2,4,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,4,7,1,4,2,6,8,
2,8,1,1,4,1,4,4,4,4,1,2,2,1,2,1,2,1,1,1,1],[1,4,7,3,2,4,4,4,4,2,8,1,1,4,1,2,6,
4,4,1,2,1,2,2,1,2,1,1,1,1],[1,4,4,3,1,6,2,4,4,2,4,8,1,1,4,1,2,2,4,4,4,1,2,2,1,
2,1,2,1,1,1,1],[1,4,7,8,1,4,2,6,12,8,4,6,4,1,1,2,2,4,4,2,4,4,3,2,2,2,4,4,2,4,
1,1,2,2,1,2,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,7,4,8,1,6,6,12,8,10,4,1,1,2,2,2,4,4,
4,4,5,2,2,4,4,2,4,1,1,2,2,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,12,7,8,3,6,12,4,4,
6,4,1,3,2,6,12,3,2,2,6,2,4,4,1,1,2,2,3,6,6,2,4,4,1,1,1,2,2,1],[1,4,12,3,8,8,1,
6,6,4,6,8,1,1,2,2,8,6,4,1,4,2,6,2,4,4,1,1,2,2,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[
1,4,7,1,4,2,6,4,6,8,8,1,1,4,3,4,2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,7,4,1,6,6,10,
8,8,1,1,4,5,4,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,4,7,3,2,4,4,4,8,2,4,8,1,1,4,1,2,4,
2,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,4,4,3,1,6,2,4,2,8,8,8,1,1,4,1,4,4,4,4,1,1,2,2,
2,2,1,1,1,1,1],[1,2,4,5,4,1,2,2,4,2,4,8,4,8,1,1,4,1,2,2,4,4,4,1,1,2,2,2,2,1,1,
1,1,1],[1,4,3,1,3,3,6,4,6,4,1,3,2,2,3,12,4,4,3,1,1,2,2,2,1,1,1,1],[1,4,8,3,1,
8,3,4,3,6,6,4,1,2,4,4,4,3,2,3,12,4,3,1,2,1,2,2,1,1,1,1],[1,3,3,9,1,12,1,9,9,1,
3,12,3,3,4,2,1,1,3,3,4,3,1,1,1],[1,9,3,3,4,9,1,9,9,3,1,3,12,3,4,1,2,1,3,3,4,3,
1,1,1],[1,9,3,3,1,12,1,9,9,3,1,3,12,3,4,1,2,1,3,3,4,3,1,1,1],[1,3,9,3,4,9,1,9,
9,1,3,3,12,3,4,1,2,1,3,3,4,3,1,1,1],[1,3,18,4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,
3,6,3,1,1],[1,3,18,4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,1,12,
1,9,9,6,36,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,18,3,1,12,1,9,9,6,36,3,9,4,2,1,1,3,
3,4,3,6,3,1,1],[1,3,6,4,9,1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,4,9,1,3,
3,4,3,6,3,4,1,2,3,1,3,4,1,3,1,1],[1,9,1,12,1,3,3,4,9,3,4,1,2,3,1,3,4,1,3,1,
1],[1,9,1,12,3,1,3,4,9,3,4,2,1,1,3,3,4,1,3,1,1],[1,15,5,30,16,15,1,1],[1,3,15,
5,1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,6,12,9,16,2,3,3,9,18,18,
18,16,3,6,9,18,18,9,8,12,1,9,9,12,3,1,1],[1,6,12,9,16,2,12,3,3,9,6,18,6,12,16,
6,3,9,6,6,12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,15,12,16,5,18,30,18,16,3,15,
36,9,8,12,1,9,9,12,3,1,1],[1,6,9,12,16,2,3,18,3,9,18,18,16,3,6,9,18,18,9,8,12,
1,9,9,12,3,1,1],[1,6,3,18,16,2,9,12,1,2,6,3,6,12,6,12,16,3,6,3,6,6,12,6,12,3,
6,8,4,8,1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,3,3,9,12,6,18,6,12,16,6,3,9,6,6,
12,12,6,3,8,12,1,6,3,3,6,4,8,3,1,1],[1,6,12,3,6,16,2,3,1,2,6,6,3,12,6,12,6,12,
16,6,3,3,6,6,6,12,12,6,3,8,4,8,1,6,3,3,6,4,8,3,1,1],[1,12,15,16,5,12,6,30,12,
6,16,15,3,12,24,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,6,9,12,16,2,3,3,6,9,12,18,6,
12,16,3,6,9,6,6,12,12,6,3,8,12,1,6,3,3,6,4,8,3,1,1],[1,15,12,16,5,30,18,18,16,
15,3,18,18,9,20,1,9,9,12,3,1,1],[1,6,12,3,6,16,2,12,3,1,2,6,6,3,6,12,6,12,16,
6,3,3,6,6,6,12,12,3,6,8,4,8,1,3,6,3,6,4,8,3,1,1],[1,6,12,9,16,2,12,3,3,9,6,18,
6,12,16,6,3,9,6,6,12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,18,3,6,16,2,12,3,1,2,
6,9,6,12,6,12,16,6,3,3,6,6,6,12,12,3,6,8,4,8,1,3,6,3,6,4,8,3,1,1],[1,3,9,12,3,
16,1,3,3,9,6,6,1,9,9,6,6,6,6,16,3,3,9,3,6,6,6,6,6,6,3,3,3,4,12,4,1,3,3,3,3,3,
3,4,4,4,3,1,1],[1,24,3,16,4,12,12,1,12,12,6,12,16,3,3,12,12,12,6,6,6,3,16,4,1,
3,6,3,6,4,8,3,1,1],[1,3,9,12,3,16,1,3,3,9,6,6,1,9,9,6,6,6,6,16,3,3,9,3,6,6,6,
6,6,6,3,3,3,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,12,16,5,30,18,18,16,15,3,
18,18,9,8,12,1,9,9,4,8,3,1,1],[1,3,12,12,16,1,18,16,6,12,12,6,16,3,12,3,6,6,
24,3,6,4,16,1,3,6,3,6,4,8,3,1,1],[1,6,25,16,5,15,15,60,60,16,10,20,15,30,60,
20,8,12,1,15,15,4,8,8,1,1,1],[1,6,12,9,4,16,2,24,3,6,3,9,12,6,24,24,18,24,16,
1,6,6,24,3,6,6,8,6,9,8,24,24,24,8,12,1,3,3,12,12,4,8,8,1,1,1],[1,10,21,16,2,3,
9,39,36,66,16,3,7,14,6,15,30,32,48,8,12,3,1,12,3,12,4,8,8,1,1,1],[1,6,4,3,6,
12,16,2,3,1,2,6,6,6,3,24,12,24,6,12,24,24,16,3,1,6,6,8,6,3,6,6,6,24,8,24,24,
24,8,4,8,3,1,12,3,12,4,8,8,1,1,1],[1,4,18,3,6,16,1,3,6,18,24,3,1,3,6,9,3,18,
24,12,3,9,12,16,4,1,4,3,6,6,3,3,3,6,3,12,12,6,3,6,6,8,6,6,12,24,12,4,12,4,1,3,
3,6,3,3,3,6,3,4,4,4,8,1,1,1],[1,6,7,6,16,4,3,4,3,3,4,12,6,16,1,1,1,3,6,6,6,3,
3,3,2,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,12,7,16,8,3,6,12,4,6,16,1,3,2,6,12,3,6,2,
8,4,3,6,6,4,8,8,1,1],[1,18,3,18,4,1,18,16,3,9,18,18,18,18,12,12,4,12,3,12,9,9,
6,18,12,36,18,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[1,18,3,12,6,4,1,18,16,
3,9,36,36,3,9,12,4,12,3,12,9,9,24,3,9,9,9,18,9,9,1,4,12,12,1,3,3,9,9,9,9,1,3,
3,4,3,1,3,3,1],[1,6,6,3,6,18,4,1,6,1,3,3,3,6,6,12,6,24,6,6,24,12,3,3,6,4,12,
12,1,3,3,3,3,12,6,6,6,6,2,6,3,3,3,3,6,6,6,6,6,6,3,3,6,6,1,4,12,12,1,3,3,3,3,3,
3,6,6,6,6,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,6,6,1,12,14,4,3,4,3,1,3,3,12,12,6,24,
6,6,24,12,6,6,4,4,8,4,8,1,3,3,3,3,12,6,6,6,6,8,6,6,6,6,12,12,3,3,12,1,4,4,8,4,
8,1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,6,18,9,6,4,12,1,3,3,15,6,
3,12,24,4,12,24,6,6,12,4,12,1,3,3,12,3,3,8,6,6,6,6,6,6,12,6,6,12,3,3,12,1,4,
12,12,1,3,3,3,3,12,3,3,12,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,12,6,1,6,14,4,3,4,12,
1,6,3,3,24,6,12,3,6,12,24,6,6,4,4,8,4,8,3,3,6,1,3,8,3,6,6,6,12,6,6,6,6,12,12,
3,3,12,1,4,4,8,4,8,1,3,3,3,3,12,3,3,12,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,6,18,9,6,
4,1,24,3,1,12,6,3,24,12,6,15,12,6,6,4,12,12,1,3,6,3,3,6,3,2,6,6,6,12,3,3,3,3,
6,6,6,6,12,3,3,12,1,4,12,12,1,3,3,3,3,3,6,6,3,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[
1,6,7,6,20,4,3,3,10,3,4,36,24,12,24,6,6,4,4,8,4,8,1,9,6,3,6,8,24,6,6,12,12,6,
6,3,3,12,1,4,4,8,4,8,1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,4,6,20,
3,6,4,28,24,3,1,6,18,3,12,24,6,6,4,4,8,4,8,1,2,3,6,15,6,24,3,3,6,3,6,6,12,3,6,
3,3,6,6,1,4,4,8,4,8,1,3,3,3,6,3,6,3,6,3,6,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,30,3,
6,4,3,6,18,16,1,12,6,6,12,18,3,18,12,12,4,12,3,6,3,4,8,3,6,6,6,12,12,24,12,6,
12,1,4,12,12,1,3,3,6,12,6,12,1,2,1,1,2,4,3,1,1,2,1,2,1],[1,15,4,16,5,6,30,6,
16,1,15,12,3,20,1,3,3,4,1,1,1],[1,6,9,4,16,2,3,6,3,9,18,6,16,1,6,9,6,6,3,8,12,
1,3,3,4,1,1,1],[1,4,6,3,6,16,2,3,1,2,6,6,3,6,12,6,16,1,6,3,6,6,6,3,8,4,8,1,3,
3,4,1,1,1],[1,6,4,9,16,2,3,3,9,6,18,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,6,
4,3,6,16,2,3,1,2,6,6,3,6,12,6,16,1,6,3,6,6,6,3,8,4,8,1,3,3,4,1,1,1],[1,4,12,3,
16,4,12,1,6,6,12,6,16,1,3,12,12,3,16,4,1,3,3,4,1,1,1],[1,12,4,3,16,4,12,1,6,6,
12,6,16,3,1,12,12,3,16,4,1,3,3,4,1,1,1],[1,15,4,16,5,30,6,6,16,15,1,6,6,3,8,
12,1,3,3,4,1,1,1],[1,7,12,16,1,18,16,6,6,16,3,12,1,12,3,4,16,1,3,3,4,1,1,1],[
1,4,3,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,1],[1,12,7,16,1,12,6,6,6,16,1,3,12,12,
3,4,1,3,3,4,1,1,1],[1,6,8,9,4,1,16,1,12,12,6,15,4,12,8,1,2,3,12,3,2,6,4,12,6,
1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,6,9,8,4,1,3,4,15,4,24,12,4,12,8,1,6,3,
3,8,8,4,12,6,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,12,6,3,2,4,16,12,1,1,12,
3,6,12,1,3,12,8,3,3,4,8,3,8,1,3,3,6,3,3,3,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,
1,1],[1,6,3,14,4,1,18,16,1,3,6,6,6,6,4,20,3,12,3,3,2,6,4,12,6,1,4,4,4,1,1,1,6,
6,3,2,4,1,1,1,1,1],[1,6,3,12,2,4,1,18,16,1,3,12,12,1,3,12,8,3,12,3,3,8,1,3,3,
3,6,3,3,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,6,7,6,4,3,3,3,4,12,10,6,6,4,
4,4,1,3,6,6,3,3,9,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,6,1,12,4,3,4,
3,3,6,6,1,3,6,6,6,4,4,4,1,3,6,6,3,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,
1,1,1,1],[1,6,3,4,6,4,1,6,3,3,12,3,3,4,12,4,4,4,1,3,3,3,3,3,6,3,6,12,1,4,4,4,
1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,4,6,3,6,4,3,1,6,3,12,6,16,4,4,4,1,3,3,3,3,
3,3,12,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,12,1,6,4,3,4,6,3,3,6,1,
3,6,6,6,4,4,4,3,1,6,6,3,3,3,3,3,6,6,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,12,7,8,4,3,4,6,12,4,24,6,6,6,8,4,8,1,6,3,8,12,12,12,3,3,3,1,4,4,4,1,3,3,3,3,
3,3,2,1,2,4,3,1,1,1,1],[1,4,12,8,3,4,12,16,1,6,6,12,6,12,8,4,8,1,2,3,12,24,6,
6,6,3,1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,3,9,12,3,4,1,3,3,9,6,6,1,9,9,6,
6,6,6,8,12,3,3,9,3,6,6,6,6,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[
1,6,12,9,4,1,12,1,12,6,6,15,6,12,8,12,1,3,3,3,2,6,6,6,6,18,3,6,1,4,4,4,1,3,3,
3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,12,9,4,2,12,3,3,9,6,18,6,12,8,12,6,3,9,6,6,12,
12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,3,9,12,3,4,1,1,6,9,6,6,3,3,9,6,3,
6,6,6,8,12,1,3,3,3,2,6,6,6,6,6,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,
1,1],[1,3,12,12,4,1,18,16,6,12,12,6,8,12,3,12,3,6,6,24,3,6,1,4,4,4,1,3,6,3,6,
2,3,4,3,1,1,1,1],[1,3,12,12,4,1,18,16,6,12,12,6,8,12,3,12,3,6,6,24,3,6,1,4,4,
4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,12,3,12,4,16,1,12,6,6,12,6,12,8,12,3,4,8,3,6,
6,24,6,3,1,4,4,4,1,3,6,6,3,2,1,2,4,3,1,1,1,1],[1,12,6,1,6,2,4,3,4,1,6,3,6,6,
12,12,6,6,6,8,4,8,1,3,3,3,8,12,6,12,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,
1,1,1],[1,6,12,3,6,4,1,6,1,3,6,6,6,12,6,6,6,12,8,12,1,3,3,3,2,6,6,6,6,12,6,6,
3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,9,12,4,1,3,6,15,4,12,12,6,12,
8,12,1,3,3,3,8,12,6,12,6,6,3,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,18,6,
1,2,4,6,6,4,12,1,3,3,6,12,6,6,6,8,4,8,3,1,3,3,8,12,12,6,6,3,3,3,1,4,4,4,1,3,3,
3,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,9,12,3,4,1,3,3,9,6,6,1,9,9,6,6,6,6,8,12,3,3,9,
3,6,6,6,6,6,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,15,12,4,5,30,18,
18,8,12,15,3,18,18,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,12,7,12,4,3,6,6,12,4,
12,4,6,6,8,8,4,1,3,3,12,12,12,3,3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[
1,4,12,12,3,4,12,12,1,6,6,6,6,6,4,8,8,4,1,3,3,6,6,12,6,6,3,6,3,1,4,4,4,1,3,3,
3,3,3,3,2,2,1,4,3,1,1,1,1],[1,12,3,4,12,4,1,6,6,12,6,12,6,4,6,8,8,4,1,3,3,6,6,
6,6,12,3,3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,12,1,6,12,4,3,4,6,6,
6,6,12,1,3,6,6,8,8,4,1,3,3,12,12,6,6,3,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,
1,1,1,1],[1,18,1,12,4,6,6,4,3,6,6,12,1,3,6,6,8,8,4,1,3,3,12,6,6,12,3,3,3,3,1,
4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,7,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,
1],[1,3,12,16,1,6,6,6,16,3,6,3,6,3,6,4,1,3,3,4,3,1,1],[1,3,12,4,1,6,6,6,8,12,
3,6,3,6,4,3,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,6,3,2,4,1,1,3,1,6,3,12,8,1,3,
3,3,3,3,3,3,3,4,3,3,4,4,4,1,1,3,1,3,3,3,1,4,1,1,1,1,1],[1,18,9,1,6,6,27,6,6,6,
18,18,9,2,2,9,18,2,6,6,6,1,6,1,2,1],[1,9,18,1,6,6,27,6,6,18,6,9,18,2,2,9,18,2,
6,6,6,1,6,1,2,1],[1,9,1,6,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,1,15,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,30,10,5,15,15,6,20,10,5,12,6,5,10,6,5,1,1],[1,3,15,5,4,1,15,15,
1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,
5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,
6,10,10,10,15,6,5,10,6,5,1,1],[1,6,36,9,20,2,12,24,72,72,3,30,16,3,4,9,36,36,
18,72,72,72,18,36,72,12,16,5,12,18,24,6,24,36,72,72,9,18,36,18,24,36,72,72,72,
18,9,36,24,72,72,48,72,72,72,144,144,12,16,12,24,48,6,12,24,1,6,8,24,72,72,1,
6,9,12,9,18,36,36,36,36,144,18,36,72,3,4,6,12,24,6,12,24,6,12,24,6,12,24,3,18,
18,24,3,4,2,12,6,12,24,3,6,12,1,1,6,1,6,1],[1,6,44,9,12,2,12,24,72,72,16,3,18,
3,4,9,44,36,22,72,72,72,18,36,72,4,8,16,3,18,24,6,24,36,72,72,11,18,36,4,18,
24,8,36,72,72,72,18,9,36,24,72,72,48,72,72,72,144,144,4,4,8,16,32,8,16,8,16,4,
4,8,16,2,8,6,8,24,72,72,1,1,6,9,12,9,18,36,36,36,36,144,18,36,72,1,4,2,4,4,16,
8,8,2,4,16,2,4,8,8,2,4,8,2,8,16,4,4,4,8,8,16,3,18,18,24,1,2,4,2,4,8,2,4,8,8,
16,4,2,2,8,1,4,4,1,1,4,2,1,2,4,1],[1,6,36,8,9,12,2,12,24,72,72,8,8,3,18,3,4,9,
36,36,4,18,72,72,72,8,18,36,72,4,8,8,8,3,18,24,6,24,36,72,72,9,18,36,2,18,24,
36,2,2,72,72,72,8,18,9,36,24,72,72,48,72,72,72,144,144,4,4,4,4,8,8,16,16,8,16,
8,8,8,4,2,2,4,4,8,8,2,8,6,8,24,72,72,1,1,6,9,12,9,18,36,36,36,36,144,18,36,72,
1,2,2,2,4,2,2,8,8,8,4,4,2,2,2,8,8,2,4,4,4,8,2,2,2,8,2,4,4,8,8,4,4,2,2,8,4,4,8,
8,3,18,18,24,1,2,2,2,2,2,2,8,2,2,2,8,4,4,8,8,4,2,1,1,4,4,1,2,2,4,1,1,4,1,1,1,
1,1,4,1],[1,18,8,45,6,16,15,45,135,12,180,270,12,16,45,45,2,90,90,12,135,270,
360,360,24,12,12,16,48,6,12,24,6,1,45,15,180,135,270,3,4,6,12,24,6,12,24,6,12,
24,6,12,24,18,45,3,4,6,12,2,12,24,3,6,12,1,1,6,1,6,1],[1,18,45,8,6,15,45,4,
135,180,24,270,4,24,45,6,45,90,90,135,270,8,360,360,4,12,24,48,24,12,6,24,6,1,
45,15,180,135,270,1,6,6,12,6,12,24,24,6,6,12,12,24,24,18,45,1,6,6,12,6,8,24,3,
6,12,1,3,4,3,4,1],[1,18,12,45,4,6,24,15,6,45,135,12,6,24,24,180,270,24,12,12,
1,45,45,6,90,24,90,3,6,6,8,6,135,270,360,360,8,24,24,24,12,12,12,12,24,24,24,
24,48,6,6,6,6,6,6,48,6,45,15,180,3,3,12,135,270,12,12,3,12,3,12,6,12,6,6,6,12,
6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,18,45,1,12,3,3,3,3,12,12,
24,12,2,2,6,6,12,6,6,6,12,6,6,12,6,12,3,1,6,6,6,6,3,3,1],[1,10,36,21,12,2,12,
24,72,72,3,18,9,4,39,36,36,18,72,72,72,36,66,36,72,12,12,3,3,7,18,24,14,24,36,
72,72,6,9,18,36,18,24,36,72,72,72,18,15,36,30,32,48,24,72,72,48,72,72,72,144,
144,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,6,8,24,72,72,3,1,6,12,9,12,9,18,
36,36,36,36,144,3,12,18,36,72,12,3,12,3,12,6,12,6,12,6,6,6,6,6,6,6,12,12,12,
48,12,48,6,6,12,6,12,12,12,48,48,1,3,18,18,24,12,3,3,3,3,12,12,24,12,12,12,2,
2,6,6,6,6,6,6,6,12,6,12,3,1,6,6,6,6,3,3,1],[1,6,36,4,9,12,12,2,12,24,72,72,3,
18,3,4,6,9,36,36,6,18,72,72,72,24,12,24,18,36,72,24,24,6,6,12,3,3,18,1,6,24,6,
24,36,8,72,72,6,9,18,36,18,24,36,72,72,72,18,9,36,6,6,24,8,24,24,24,24,72,72,
48,72,72,72,144,144,6,6,6,6,6,6,6,6,24,12,12,24,12,12,24,24,6,6,3,3,6,6,6,24,
24,6,8,24,72,72,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,6,6,3,12,3,
12,3,3,6,6,6,6,6,6,3,3,3,3,6,3,3,6,6,6,6,12,12,24,24,6,6,24,24,6,6,6,6,6,6,6,
12,12,24,24,24,24,1,3,18,18,24,6,6,3,3,3,3,12,6,6,12,12,12,6,6,6,6,1,1,2,3,3,
3,3,6,6,3,3,6,6,6,6,3,3,6,6,3,1,3,3,6,6,3,3,3,3,1],[1,6,24,9,8,24,32,1,3,4,15,
24,12,24,4,24,12,4,24,12,1,6,3,6,6,8,6,16,3,8,8,24,4,12,24,24,24,48,6,6,12,6,
24,6,24,8,1,2,1,3,1,6,6,3,2,12,6,6,12,12,6,6,6,12,24,6,12,6,12,24,24,24,1,6,3,
6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,6,24,8,9,24,16,32,1,3,15,24,12,12,24,4,
12,4,12,8,16,1,3,6,2,6,8,6,16,12,3,8,24,8,4,4,32,24,24,16,24,6,4,6,2,4,24,6,
24,8,8,1,2,1,3,1,4,6,3,2,2,4,8,4,4,2,4,4,2,8,8,6,2,6,4,4,12,24,2,8,6,12,24,4,
24,24,6,3,1,2,2,4,4,2,1,4,12,6,4,2,2,4,8,4,4,8,1,1,2,1,2,4,4,1],[1,6,12,16,9,
4,8,32,16,1,6,3,15,12,24,6,8,8,16,4,12,8,8,8,8,8,8,1,1,3,2,4,3,2,4,2,24,4,16,
2,3,8,8,8,4,4,16,4,8,8,8,4,8,8,8,16,8,8,16,8,2,4,4,2,4,2,4,8,8,8,12,4,4,2,8,8,
8,2,2,1,1,1,2,2,2,1,4,1,2,2,2,2,4,2,4,2,1,4,2,2,4,2,2,1,2,4,2,4,4,2,2,4,2,2,4,
2,4,4,8,4,8,4,4,2,4,2,2,8,4,2,4,4,4,8,8,8,8,8,8,8,8,8,2,1,1,2,4,2,2,1,1,2,2,2,
1,1,1,4,4,4,4,2,4,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,4,14,16,3,6,4,4,4,24,4,20,3,4,1,2,6,4,4,16,3,4,8,8,16,20,4,4,16,2,6,4,4,4,4,
8,4,4,1,1,1,2,2,4,2,2,5,1,2,14,5,8,16,1,4,8,8,8,2,2,4,2,2,4,8,4,4,4,6,10,4,4,
6,6,8,8,8,8,16,8,8,2,4,2,2,1,1,4,2,1,3,2,2,6,6,8,2,2,8,2,1,3,2,2,8,8,2,4,2,1,
1,2,1,1,1,1,1,2,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,2,2,1,1,2,4,2,1,1,1,2,2,2,2,2,
2,2,2,2,2,1,1,4,2,1,3,2,4,2,2,4,4,1,1,4,6,4,1,1,2,2,2,2,1,1,2,2,6,2,2,2,4,2,2,
6,6,2,1,3,4,6,2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,
1,2,2,1,1,1,2,2,1,1,2,1,1,4,2,2,2,2,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,4,16,9,4,8,32,16,1,6,3,4,15,
4,24,2,8,16,4,8,8,12,8,8,4,4,8,8,8,8,1,1,2,3,4,2,1,2,4,24,4,16,2,3,2,8,8,8,4,
8,4,16,4,8,8,8,4,8,8,4,4,8,4,4,16,16,4,2,2,4,2,2,4,8,8,8,4,8,2,4,12,2,8,8,2,2,
1,1,1,2,2,2,2,2,1,4,1,2,4,2,2,4,4,1,2,2,4,2,2,2,1,2,2,2,2,4,4,2,4,2,2,4,4,8,4,
8,4,4,2,4,2,2,2,2,2,8,2,2,2,2,4,4,4,8,8,8,8,8,8,8,8,8,2,1,1,2,4,2,1,2,2,2,2,1,
1,1,1,4,4,4,4,2,4,2,2,2,2,1,1,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,2,12,12,5,4,12,8,16,24,1,6,1,6,1,12,10,6,8,24,8,12,8,4,8,8,8,2,8,6,8,4,4,8,
1,3,1,6,2,3,2,2,4,8,2,6,16,8,2,1,2,2,8,8,8,2,2,2,6,4,4,12,4,2,6,12,4,6,2,8,4,
4,4,8,4,4,16,16,2,2,2,2,1,1,4,6,4,6,2,4,4,4,4,8,2,2,2,12,2,8,4,4,2,1,1,1,1,1,
2,2,1,1,2,2,1,2,2,1,2,4,2,2,4,4,1,2,2,4,2,2,2,1,2,2,2,2,4,4,1,1,1,1,4,2,2,2,6,
2,4,2,4,2,4,4,2,4,2,2,2,2,2,2,6,4,2,2,2,2,4,2,6,4,4,6,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,1,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1,2,2,4,2,2,4,2,2,2,2,2,2,2,1,1,2,2,2,2,
2,2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,12,12,13,4,4,8,16,24,1,6,5,2,1,12,
10,6,8,24,8,16,4,12,8,8,2,12,10,4,4,8,1,2,1,1,6,2,3,2,2,4,8,2,6,16,8,2,1,2,2,
8,8,8,2,2,2,6,4,12,4,4,2,6,12,4,6,2,8,4,8,8,8,16,16,2,2,2,3,1,4,6,4,6,2,4,4,4,
4,8,6,2,2,8,2,8,4,4,2,1,1,1,1,1,2,2,1,1,2,2,1,2,2,1,2,4,2,2,4,4,1,2,2,4,2,2,2,
1,2,2,2,2,4,4,1,1,1,1,4,2,2,2,6,2,4,2,4,2,4,4,2,4,2,2,2,2,4,6,4,2,2,4,4,2,6,4,
4,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1,2,2,4,2,2,
4,2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,12,8,
9,4,8,8,16,1,6,3,4,15,12,12,6,8,8,16,4,24,12,8,16,4,8,12,8,8,1,1,6,3,2,2,4,3,
2,2,12,2,3,4,8,8,16,8,8,4,4,4,12,4,4,8,8,4,4,4,4,4,4,8,16,8,8,8,16,2,4,2,6,6,
8,2,4,12,8,12,4,4,2,8,8,1,1,1,2,1,1,1,2,3,2,2,1,2,1,2,2,2,4,2,4,2,2,1,2,2,4,2,
4,1,2,4,2,4,4,2,2,6,8,2,2,2,2,2,4,2,4,4,4,4,8,4,2,6,2,8,4,2,2,4,4,2,4,4,8,8,8,
8,8,8,8,1,2,1,1,2,1,2,2,1,1,2,2,2,2,1,1,1,4,4,8,2,2,2,1,2,2,2,1,2,2,2,2,2,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,14,12,7,6,8,4,4,4,12,3,4,3,4,4,4,18,3,4,
8,24,12,4,24,12,24,4,10,6,4,4,4,4,4,1,1,6,2,3,6,2,3,1,2,3,8,3,6,8,24,8,8,6,6,
6,6,12,12,6,6,6,6,8,8,8,8,8,8,8,8,2,2,2,5,3,2,12,3,3,6,6,8,2,2,8,3,3,2,2,8,2,
6,1,1,3,1,1,3,2,3,2,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,
2,2,3,3,12,2,6,3,3,2,6,6,3,3,6,4,3,3,12,2,2,2,3,3,2,2,2,4,3,3,6,6,6,6,6,6,6,6,
6,3,1,3,3,1,1,1,1,2,1,1,2,2,1,1,1,1,3,3,3,6,6,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,12,13,4,16,16,1,6,
5,8,1,12,6,8,16,48,16,12,8,16,12,4,8,16,1,2,12,2,4,3,2,4,8,2,1,2,4,16,8,16,8,
4,4,8,8,8,8,8,16,8,8,8,16,32,2,4,2,4,4,8,16,6,8,2,4,8,16,8,2,1,1,1,2,1,4,2,1,
2,2,4,2,4,8,4,2,4,8,2,4,8,4,2,4,8,2,2,4,4,4,4,2,4,2,4,4,4,4,8,16,4,4,8,16,8,
16,8,16,1,1,2,2,4,2,4,2,4,1,2,4,8,4,2,4,2,2,4,4,4,8,4,8,1,1,2,1,2,4,4,1],[1,2,
4,8,13,4,16,8,8,1,6,5,8,1,4,4,2,8,8,16,48,16,12,8,16,4,8,4,8,8,8,1,2,12,2,4,1,
2,2,2,2,8,2,1,2,4,16,8,16,8,4,4,4,4,8,8,8,8,16,8,8,8,16,16,16,2,4,2,4,2,2,4,4,
8,8,2,12,2,4,8,16,8,2,1,1,1,2,1,2,2,2,1,2,2,4,2,4,4,4,4,2,2,2,4,4,2,2,2,4,4,4,
2,2,2,4,4,2,2,4,4,4,4,2,4,2,4,4,4,4,8,16,4,2,2,8,16,8,16,8,16,1,1,2,2,4,2,2,2,
2,2,2,1,1,1,4,8,4,2,4,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,6,12,9,
12,8,16,1,18,16,3,4,15,12,6,24,4,8,8,12,24,8,4,12,8,8,8,3,12,1,2,3,2,3,6,4,8,
6,3,2,8,8,24,12,8,12,12,12,24,4,4,8,4,4,16,16,4,2,4,6,2,6,12,4,8,6,12,2,8,8,8,
1,1,1,3,1,2,3,2,3,2,3,1,2,2,2,4,4,1,2,4,2,2,2,1,2,2,2,4,2,4,2,4,6,6,6,12,12,4,
2,6,12,6,12,2,2,2,2,2,4,2,2,12,24,24,3,1,3,3,1,2,2,2,2,1,2,1,1,1,4,12,6,2,2,1,
1,2,2,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,4,12,5,12,12,8,8,1,
18,16,1,6,1,4,10,2,8,8,24,12,8,4,8,24,8,2,8,6,4,8,4,8,3,12,3,1,2,2,1,2,6,2,2,
8,2,1,6,2,8,8,8,16,2,4,6,2,2,4,12,2,2,4,4,4,6,6,8,12,4,4,8,4,4,16,16,2,2,2,4,
2,1,1,4,2,2,2,4,4,4,4,8,2,6,6,4,2,8,8,4,4,1,1,1,1,2,1,2,1,2,2,1,2,2,1,2,1,2,2,
2,4,4,1,2,4,2,2,2,1,2,2,2,4,2,4,2,4,1,1,4,1,1,4,2,2,2,2,2,4,4,2,2,4,4,4,2,2,6,
4,6,2,4,6,6,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,1,2,1,2,1,2,
2,2,2,1,2,1,1,1,2,2,2,2,4,4,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,2,4,12,13,12,4,8,8,1,18,16,5,2,1,4,10,2,8,8,24,16,4,12,8,24,
2,4,10,12,4,8,3,12,2,1,1,2,2,1,2,6,2,2,8,2,1,6,2,8,8,8,16,2,4,6,2,2,12,4,2,2,
4,4,4,6,6,8,12,8,8,24,16,2,2,6,3,1,4,2,2,2,4,4,4,4,8,2,6,6,4,2,8,8,4,4,1,1,1,
1,2,1,2,1,2,2,1,2,2,1,2,1,2,2,2,4,4,1,2,4,2,2,2,1,2,2,2,4,2,4,6,1,1,4,1,1,4,2,
2,2,2,2,4,4,2,2,4,4,4,2,2,6,4,6,2,4,6,6,2,4,2,6,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,2,1,1,1,2,1,2,1,2,2,2,2,1,2,1,1,1,2,2,2,2,4,4,2,2,2,2,2,1,1,2,2,2,2,2,2,2,
2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,4,13,12,16,1,18,16,5,8,1,4,2,8,16,
48,16,12,8,16,4,12,16,8,3,12,2,12,2,4,1,2,2,1,2,4,16,8,16,8,4,4,8,8,8,8,8,16,
8,24,8,32,2,4,6,4,8,2,4,2,4,8,16,8,16,8,1,2,1,1,2,1,2,4,1,2,2,4,2,4,8,2,4,4,8,
6,4,8,2,4,2,4,2,4,4,4,4,2,4,6,4,8,4,4,4,8,16,8,16,8,16,8,16,1,2,1,2,4,2,4,2,4,
1,2,4,8,4,2,4,2,4,2,4,4,8,4,8,1,1,2,1,2,4,4,1],[1,6,12,24,9,12,8,48,16,48,1,
18,16,3,4,15,12,36,6,24,48,48,4,24,12,24,48,4,12,12,3,12,1,6,3,6,12,3,6,12,4,
8,36,12,32,48,6,3,12,8,8,48,24,32,4,12,12,12,12,12,24,24,12,12,12,24,24,12,12,
12,24,24,6,6,6,24,6,12,12,12,12,24,24,24,6,12,12,12,8,24,24,1,1,3,4,1,6,1,6,3,
4,1,6,3,6,12,3,6,12,3,4,3,6,12,4,12,12,2,12,6,8,6,12,24,6,6,6,24,6,6,6,24,6,
12,12,12,12,12,12,24,24,12,12,12,24,24,6,6,6,24,6,12,12,12,6,12,12,12,6,12,24,
12,12,12,24,24,12,12,12,24,24,8,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,1,6,3,12,6,3,6,12,3,6,12,3,4,4,12,12,4,12,12,12,12,12,
24,24,12,12,12,24,24,12,12,12,24,24,6,12,24,12,12,12,24,24,6,12,12,12,6,6,6,
24,8,24,24,1,6,3,4,3,6,12,4,12,12,1],[1,6,12,25,12,5,18,16,15,15,12,6,24,60,
60,24,12,24,3,12,10,20,3,6,6,15,30,60,20,24,12,12,24,12,12,24,12,48,24,6,12,6,
12,6,24,24,12,1,1,3,15,15,3,6,3,6,3,3,3,6,12,3,6,9,6,12,12,6,6,12,6,12,6,12,3,
12,12,6,6,24,24,12,12,1,3,3,6,3,4,3,3,3,6,6,6,1,3,3,3,6,2,6,3,3,6,6,6,3,9,6,6,
6,12,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,6,20,25,4,16,16,5,6,15,15,20,10,8,16,60,60,
8,20,16,1,10,4,20,5,2,4,4,8,2,15,30,60,20,8,16,4,8,8,4,16,12,20,24,12,16,56,2,
8,4,4,12,10,8,2,16,24,4,8,1,1,1,2,15,15,3,2,4,2,1,6,1,2,1,5,10,8,7,6,5,4,2,12,
6,2,10,4,8,4,8,16,8,16,4,2,6,4,5,4,4,6,14,8,4,8,8,8,4,8,4,1,1,2,1,2,4,2,1,4,4,
2,2,4,1,1,5,6,2,2,1,3,1,2,4,3,2,2,6,2,1,1,2,2,4,4,2,6,3,1,8,6,6,2,4,8,4,2,2,4,
4,4,2,1,2,1,1,2,1,2,1,2,2,1,1,2,2,4,2,2,2,1],[1,6,20,9,4,16,4,8,24,16,1,2,3,8,
15,12,8,6,16,8,24,4,32,16,12,4,16,16,8,4,8,8,8,1,8,3,4,4,8,8,4,2,4,2,8,8,8,16,
2,3,4,8,16,8,4,4,4,8,12,12,4,8,24,4,4,20,4,4,4,16,4,4,4,8,16,12,8,4,4,4,24,24,
8,4,4,2,2,4,8,8,4,8,4,2,16,8,8,8,8,4,1,1,8,4,1,1,2,4,8,2,1,2,1,2,2,2,2,2,2,1,
4,2,1,1,3,2,2,2,6,4,4,2,2,4,4,4,2,3,2,2,4,2,2,2,1,6,2,6,2,2,2,6,2,4,2,4,8,4,8,
8,6,2,6,8,8,3,2,2,2,2,8,4,8,8,8,8,8,8,8,4,4,1,1,2,2,1,2,2,2,2,2,2,2,2,2,1,2,2,
2,1,1,4,1,2,2,2,2,1,3,1,1,2,2,2,2,2,4,2,2,2,1,2,1,2,4,2,2,2,2,2,2,1,2,1,4,2,2,
2,2,4,2,4,4,2,2,2,6,2,2,2,2,2,2,2,2,2,1,1,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,
1],[1,2,20,4,13,4,12,4,8,24,16,1,2,5,6,1,12,8,6,6,16,8,24,8,16,28,8,12,4,16,8,
8,6,8,6,4,12,2,7,4,1,2,4,8,8,2,2,2,4,2,8,8,8,16,2,1,2,2,2,8,8,8,8,4,4,4,8,12,
12,4,8,24,2,4,2,2,2,4,8,8,2,2,2,2,16,4,4,4,8,16,4,16,4,4,4,16,16,24,2,6,2,4,3,
7,8,2,2,8,2,2,2,8,8,8,8,8,8,4,1,1,8,4,1,1,2,4,8,1,1,1,2,1,2,2,2,2,2,1,1,1,2,2,
2,1,1,1,4,4,4,2,2,4,2,2,1,1,4,4,4,1,2,4,2,4,2,2,2,3,4,1,1,2,4,4,1,2,1,4,2,4,1,
1,4,4,4,4,4,4,2,2,4,4,6,4,4,4,8,1,4,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,1,1,1,1,2,1,1,2,3,1,1,3,1,1,1,1,1,3,1,
1,2,1,2,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1,2,3,2,1,1,1,3,2,1,2,1,2,3,3,1,2,1,
1,2,3,2,2,2,3,3,1,1,3,3,1,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,6,20,8,9,4,8,4,8,24,16,16,1,2,3,4,15,
12,8,12,6,16,8,24,16,4,8,12,4,16,16,4,4,4,8,16,1,2,3,4,2,4,4,8,8,2,4,2,8,12,8,
8,16,2,3,4,8,16,4,4,4,8,12,12,4,8,24,8,8,8,4,4,4,4,4,4,16,32,4,4,4,8,16,4,8,4,
4,4,8,8,8,4,8,2,4,2,2,2,4,8,2,4,8,16,8,8,8,12,1,1,8,4,1,2,1,2,4,8,1,2,2,2,2,1,
2,1,2,2,4,3,3,1,2,2,2,2,4,4,4,4,4,4,4,3,8,6,2,2,2,1,2,2,2,2,2,2,2,2,4,2,2,2,4,
8,4,8,4,8,8,8,8,2,2,2,2,2,2,1,2,2,2,2,4,8,8,8,8,4,8,4,8,4,8,1,1,2,2,2,2,1,2,2,
2,2,1,2,4,2,2,2,1,2,1,2,1,2,2,2,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,1,2,1,2,2,2,2,2,
2,2,2,4,1,2,3,6,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,2,1,2,1,2,1,
2,1,2,2,2,2,2,2,2,1],[1,6,9,8,1,3,4,15,4,24,12,4,12,12,24,1,6,3,3,8,8,4,12,6,
6,36,6,24,8,8,1,1,1,6,6,2,2,6,6,6,3,6,6,3,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,6,8,9,
16,1,3,15,12,4,12,12,12,12,8,8,1,3,2,12,3,8,8,4,4,4,6,6,12,12,6,8,24,8,8,1,1,
3,2,2,6,2,2,6,6,6,2,3,2,2,2,2,2,3,2,4,2,4,1,1,1,1,3,2,2,2,2,2,2,6,6,1,1,1,1,1,
1,1,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,8,4,12,8,4,8,8,8,1,1,2,2,2,2,8,2,
1,8,4,4,4,4,2,4,4,2,2,2,2,2,4,8,4,2,8,8,8,8,8,8,8,1,1,2,2,2,1,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,2,12,5,4,16,1,6,1,1,12,6,8,4,8,4,8,4,8,4,8,8,8,1,
3,2,4,8,2,1,8,4,4,8,2,4,4,2,2,2,4,4,8,2,12,8,8,8,8,8,8,1,1,2,2,2,1,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,8,5,4,8,8,1,6,1,1,4,4,2,8,8,4,8,4,4,8,8,12,
8,8,1,1,2,2,2,2,8,2,1,8,4,4,4,4,2,4,4,2,2,2,2,2,4,8,2,12,8,8,8,8,8,8,1,1,2,2,
2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,5,12,1,18,16,1,1,4,2,8,4,
8,4,8,4,4,8,8,8,8,3,12,1,2,2,1,8,4,4,8,2,4,2,2,2,4,4,4,8,8,8,2,4,8,8,8,8,8,1,
1,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,2,2,4,2,4,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,12,21,4,16,2,24,3,6,9,8,
39,12,6,24,24,36,48,16,66,24,16,8,4,4,16,1,3,12,7,6,14,24,6,4,3,6,6,8,6,15,30,
4,16,32,16,48,8,24,24,24,8,4,24,4,4,4,8,8,8,16,8,16,8,32,16,8,8,16,16,2,8,2,4,
2,12,2,2,2,4,16,16,16,16,8,2,3,1,12,3,3,12,3,2,12,12,2,4,4,1,4,1,2,4,4,4,2,2,
2,4,4,4,2,4,4,4,4,8,2,4,4,8,2,12,2,4,2,2,2,4,4,4,16,12,4,4,16,16,2,2,4,4,4,4,
2,8,2,4,4,4,8,16,16,4,4,16,16,16,16,16,8,16,8,16,1,1,2,4,4,1,2,1,1,1,4,4,8,4,
4,4,2,4,4,4,4,4,8,2,4,2,2,2,4,2,4,1,4,8,4,2,2,4,2,2,4,4,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,1,2,2,1,1,2,2,2,2,4,4,4,4,1],[1,2,16,4,13,8,20,2,4,12,8,1,8,5,2,10,1,8,
10,6,4,20,16,16,24,16,52,32,12,14,24,24,32,2,4,6,8,12,1,2,13,2,1,6,4,4,6,8,8,
12,2,8,1,2,6,2,4,4,4,4,1,10,6,2,8,24,16,8,8,32,24,24,4,16,12,4,8,4,16,16,2,4,
6,2,6,4,8,8,2,2,2,2,8,12,12,8,8,16,16,24,8,12,12,16,8,8,4,6,2,4,2,3,1,8,2,2,2,
4,8,24,8,8,16,8,2,3,1,12,1,2,1,2,2,2,8,1,4,12,2,2,8,2,2,4,2,1,4,1,2,2,6,4,2,2,
2,2,2,4,2,2,1,1,2,2,2,4,2,2,2,4,4,2,3,1,6,4,2,3,2,1,8,2,4,1,1,2,2,2,2,4,4,8,8,
2,2,8,4,2,2,8,16,8,2,2,4,4,4,4,4,6,2,4,6,6,4,8,24,4,4,8,8,8,24,8,16,8,8,16,8,
16,1,1,2,4,2,2,1,2,1,1,1,4,2,2,4,4,2,6,4,1,1,2,2,2,2,2,2,2,2,2,2,4,4,2,3,1,2,
2,2,4,1,1,2,2,1,4,8,4,2,2,4,1,1,1,1,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1],[1,10,28,21,4,2,40,32,3,
6,9,39,28,14,24,40,36,66,24,12,20,1,3,7,10,14,24,6,7,6,8,10,8,16,6,15,30,32,
48,8,24,40,24,4,12,12,4,16,32,40,24,32,8,32,6,10,2,2,8,6,6,32,32,8,2,3,1,12,3,
5,12,3,12,12,4,2,8,1,4,3,8,2,2,2,4,8,8,4,2,6,4,4,4,12,2,6,2,6,6,4,4,8,12,32,
32,4,32,4,2,6,4,10,2,4,16,8,16,8,32,16,24,24,1,1,4,2,8,1,3,1,1,8,4,8,4,4,4,2,
6,4,4,4,8,2,2,4,2,2,4,1,4,12,2,6,2,4,2,4,2,2,8,4,8,4,4,8,4,4,4,1,2,2,1,1,2,2,
2,2,4,4,4,4,1],[1,10,20,21,12,2,24,16,3,18,16,9,39,20,10,40,24,36,66,40,20,12,
3,12,3,7,6,14,24,6,5,10,4,6,8,8,10,15,30,32,48,8,40,24,24,20,12,12,20,40,16,
16,8,16,24,32,2,6,6,6,12,10,20,2,8,32,8,1,1,3,1,12,5,3,12,3,12,12,4,3,5,2,3,4,
1,8,2,4,8,4,4,8,6,2,4,6,6,8,6,2,6,6,2,12,4,12,4,8,16,4,16,10,20,10,20,2,4,4,6,
4,8,8,32,12,8,32,24,24,1,1,4,3,2,1,1,3,1,4,4,8,5,8,2,2,2,4,2,6,2,2,4,2,8,4,3,
2,1,2,4,1,4,12,2,6,2,2,4,2,2,4,8,8,4,4,4,8,4,4,4,1,1,1,2,1,1,1,1,2,2,2,4,4,4,
4,1],[1,2,16,12,5,16,12,2,4,12,8,8,8,1,20,16,1,2,6,1,8,10,10,4,20,16,16,24,24,
12,24,4,14,24,40,24,2,4,6,8,8,4,3,12,3,2,1,6,4,4,6,8,8,12,6,1,2,6,6,2,2,2,4,4,
4,8,4,1,10,10,6,24,8,24,24,24,4,16,12,16,4,8,4,16,16,2,4,6,8,2,2,4,4,2,2,4,4,
4,6,6,8,12,24,8,8,16,4,4,8,8,4,4,16,8,8,16,2,2,4,1,1,4,2,2,2,4,4,4,2,6,6,4,12,
2,8,8,8,16,4,4,1,1,3,1,12,1,2,2,1,2,2,2,8,3,12,2,2,8,2,2,1,2,1,2,2,2,1,2,4,1,
4,4,2,4,4,4,4,4,4,4,2,4,2,4,2,4,2,4,4,4,1,1,4,2,1,1,4,2,2,2,2,2,2,4,4,4,2,2,4,
4,4,8,8,8,2,2,8,8,2,6,4,6,12,2,4,6,6,12,2,2,2,4,2,4,2,2,4,4,4,4,8,8,16,2,2,4,
4,8,8,8,16,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,2,1,2,1,1,1,2,1,4,2,2,4,4,1,2,2,4,
4,2,2,2,4,2,2,4,2,2,4,2,4,4,4,1,2,2,1,2,4,1,2,2,2,2,4,4,2,2,2,2,2,2,4,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,4,4,4,4,1],[1,10,12,16,21,4,2,24,
32,16,3,6,9,39,12,24,6,24,24,16,36,66,24,4,8,4,16,1,3,7,6,4,14,24,6,3,6,4,6,8,
24,4,16,6,15,30,32,48,8,24,24,24,4,4,16,4,8,8,8,4,8,8,16,32,8,8,8,8,16,48,2,2,
2,4,2,4,8,8,8,24,16,2,4,2,16,8,2,2,3,1,12,3,3,12,3,12,12,4,2,4,2,4,1,4,4,1,4,
2,4,4,8,4,8,4,8,4,8,8,2,2,4,2,2,4,2,4,8,4,4,8,4,24,16,4,4,16,4,2,2,4,2,8,8,16,
2,4,4,4,16,4,4,8,8,8,24,16,16,8,8,8,8,8,8,1,1,4,2,1,1,1,1,4,4,8,2,4,4,4,4,4,4,
8,4,4,4,8,4,2,4,2,4,1,4,4,4,4,2,2,4,4,4,4,4,8,4,8,8,8,8,4,1,2,2,1,1,2,2,2,2,8,
8,1],[1,2,24,12,5,8,12,2,4,12,8,8,16,24,1,8,1,2,6,1,16,10,10,8,20,16,16,40,8,
12,24,4,14,24,24,24,2,4,6,4,8,8,1,3,2,1,10,4,4,6,8,8,12,6,3,2,6,2,4,8,2,2,6,4,
4,4,16,8,4,1,10,6,6,24,8,24,24,24,4,16,12,4,8,4,16,16,2,2,2,6,4,4,4,4,2,6,12,
4,6,2,8,4,8,8,16,16,8,4,4,8,4,4,8,8,8,8,16,16,2,2,1,1,4,6,4,6,2,4,4,4,4,4,8,8,
16,2,2,2,2,8,8,4,4,2,1,1,3,1,12,1,2,1,2,2,2,8,3,12,2,2,8,2,2,2,4,1,1,2,2,1,4,
2,2,1,4,2,4,4,4,4,2,2,4,4,4,4,4,2,2,4,4,4,4,1,1,2,1,1,4,2,2,2,2,6,2,4,4,2,4,2,
4,4,4,4,16,8,8,4,2,2,8,8,2,2,2,2,2,2,6,4,4,4,8,8,2,2,2,4,4,8,8,2,6,4,4,6,2,4,
4,4,4,8,8,16,8,8,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,2,1,1,1,1,1,1,4,2,2,4,4,2,4,2,
2,2,2,4,2,2,2,2,4,4,2,2,2,2,4,4,4,4,2,4,1,1,2,2,1,2,2,4,2,2,4,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,4,4,4,4,1],[1,10,12,8,21,4,
8,2,24,16,3,6,9,4,39,12,12,6,24,24,16,36,24,66,24,16,4,4,12,4,8,1,3,6,7,6,2,4,
14,24,6,3,6,6,8,12,6,15,4,30,8,32,48,16,8,24,24,24,4,4,4,12,4,4,24,8,4,12,4,4,
12,4,8,16,8,8,8,16,8,8,16,16,2,4,2,2,6,6,8,2,4,12,8,2,4,2,8,16,16,8,1,1,3,2,1,
12,3,3,12,3,12,12,1,2,4,4,3,2,1,2,4,1,2,4,2,4,4,4,4,6,4,2,4,6,4,4,4,2,4,4,2,2,
6,8,2,6,2,2,2,4,2,4,4,4,4,4,12,8,4,16,16,6,6,2,8,4,4,16,2,4,2,4,4,2,4,4,8,4,4,
16,16,12,8,8,16,8,8,8,8,8,8,1,1,1,2,4,1,1,1,2,1,4,4,4,8,3,2,2,4,6,4,2,2,2,2,4,
2,2,4,4,2,4,3,4,1,2,2,1,4,4,8,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
2,1,1,1,1,1,2,2,2,4,4,4,4,1],[1,6,16,8,9,8,16,2,4,12,8,16,1,8,3,2,8,15,8,10,
12,4,20,16,16,32,4,32,24,12,14,24,32,24,8,8,4,4,8,1,1,8,3,2,2,8,4,4,6,8,8,12,
6,1,2,6,2,12,4,4,4,4,3,10,8,6,24,8,8,24,8,32,24,4,16,12,4,8,4,16,16,4,4,4,20,
4,4,8,16,8,4,8,8,4,8,8,16,8,4,4,8,8,8,4,4,8,8,16,8,2,4,2,4,2,8,8,2,4,4,16,2,4,
2,8,16,8,8,8,1,1,1,4,1,12,1,2,1,2,2,2,8,3,12,2,2,8,1,2,2,2,4,1,4,1,2,4,1,2,4,
2,2,4,2,2,2,2,2,3,3,2,2,2,4,6,2,4,2,2,2,1,1,2,4,2,2,2,6,8,2,2,4,4,2,4,2,4,4,4,
4,4,4,16,4,8,16,8,2,8,4,8,2,2,4,8,8,2,4,2,2,2,2,2,2,4,2,2,8,4,4,16,8,8,4,16,8,
8,8,8,8,8,8,8,8,1,1,1,2,2,2,1,1,1,2,1,4,2,4,2,4,4,1,4,2,4,3,3,2,2,1,1,2,1,1,1,
1,2,2,1,1,2,2,4,2,1,1,2,2,3,2,2,1,2,1,1,1,4,4,8,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,1],[1,10,8,21,2,16,3,9,39,12,36,66,8,12,8,16,3,7,2,14,6,12,15,30,32,
48,24,12,12,4,8,4,4,6,4,12,4,4,16,32,1,3,1,12,3,12,8,3,2,8,2,4,8,2,4,2,6,2,4,
6,4,2,4,8,8,6,12,6,12,1,3,6,2,3,2,2,4,2,4,4,2,4,4,1,1,2,1,2,1],[1,10,21,8,2,3,
9,4,39,36,24,66,4,8,8,8,16,3,6,7,14,6,15,30,8,32,48,4,12,8,16,8,4,4,4,4,6,4,
24,4,4,8,32,1,3,1,12,3,12,1,8,4,2,8,2,2,8,2,4,2,2,12,2,4,12,2,4,2,4,6,6,4,4,8,
8,1,1,2,2,4,2,6,1,2,2,4,2,4,2,4,4,1,1,2,1,2,1],[1,6,12,9,12,2,24,3,18,16,3,9,
12,6,24,24,18,24,20,8,16,3,12,6,6,24,3,6,6,8,6,9,8,24,24,24,12,12,24,4,4,4,4,
8,16,10,12,4,32,1,1,3,3,12,12,8,4,3,2,8,2,8,2,6,4,4,2,4,2,8,2,6,4,8,6,12,6,12,
1,3,2,6,2,4,3,2,2,4,4,2,4,4,1,1,2,1,2,1],[1,2,16,5,16,2,4,12,8,1,20,16,1,2,1,
8,10,4,20,16,16,4,14,24,4,4,4,8,8,8,8,3,12,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,
4,16,12,4,8,4,16,16,4,8,4,8,24,4,4,2,2,4,4,4,8,8,2,4,4,12,4,16,16,1,1,1,2,1,2,
2,2,8,2,2,8,4,4,2,2,1,2,2,8,2,8,1,1,2,4,2,2,2,2,2,2,2,2,8,1,1,2,4,2,2,8,2,4,
12,2,4,12,1,1,2,2,2,4,2,2,2,1,2,1,1,1,1,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,
20,9,4,2,24,16,3,6,3,9,20,10,24,24,18,24,12,16,16,1,6,6,24,5,6,4,6,8,8,6,9,8,
24,24,24,4,4,8,8,16,8,4,8,4,4,4,6,24,4,8,32,1,1,3,3,12,12,8,1,4,2,2,8,2,8,4,2,
12,4,2,4,2,2,2,12,2,4,2,4,8,2,4,4,4,8,1,1,2,2,2,4,2,4,6,2,1,2,4,2,4,4,1,1,2,1,
2,1],[1,2,16,8,5,8,2,4,12,8,8,8,1,8,1,2,1,8,10,4,4,20,16,16,8,4,14,24,4,8,8,8,
8,8,1,2,4,4,6,8,12,1,2,6,2,2,2,2,4,4,4,8,4,1,10,4,16,12,4,8,4,16,16,4,4,4,4,8,
16,8,4,4,4,2,2,2,4,2,4,4,2,8,12,4,8,16,16,1,1,1,2,1,2,2,2,8,2,2,8,4,4,1,2,2,2,
2,8,2,8,4,1,1,2,2,8,2,2,2,2,2,2,1,1,2,2,2,8,2,4,2,2,2,8,2,4,4,2,2,8,1,1,2,2,2,
4,2,2,2,1,1,4,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,20,9,4,2,24,16,3,6,
3,9,20,10,24,24,18,24,12,16,16,1,6,6,24,5,6,4,6,8,8,6,9,8,24,24,24,4,4,8,8,16,
8,4,8,4,4,4,8,16,6,4,8,32,1,1,3,3,12,12,8,1,4,2,2,8,2,8,4,2,4,4,2,4,2,8,2,2,4,
2,4,8,2,4,8,2,4,4,4,8,1,1,2,2,2,4,2,4,2,2,1,2,4,4,2,4,4,1,1,2,1,2,1],[1,10,8,
21,2,16,3,9,39,12,36,66,8,12,8,16,3,7,2,14,6,12,15,30,32,48,8,4,4,8,24,4,4,4,
6,4,12,24,4,4,32,1,3,1,12,3,12,8,3,4,2,8,2,8,2,4,2,2,2,4,12,2,4,12,2,4,2,4,12,
2,4,12,1,1,2,2,2,4,1,2,6,2,4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,16,8,5,8,2,4,
12,8,8,8,1,8,1,2,1,8,10,4,4,20,16,16,8,4,14,24,4,8,8,8,8,8,1,2,4,4,6,8,12,1,2,
6,2,2,2,2,4,4,4,8,4,1,10,4,16,12,4,8,4,16,16,4,4,4,4,8,16,8,4,4,4,2,2,2,4,2,4,
4,8,8,4,2,4,8,16,16,1,1,1,2,1,2,2,2,8,2,2,8,4,4,1,2,2,2,2,8,2,8,1,1,2,2,2,2,8,
2,2,2,2,4,1,1,2,2,2,8,2,4,2,2,2,2,4,8,2,2,4,8,1,1,2,2,2,4,2,2,2,1,1,4,1,1,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,24,5,8,2,4,12,8,16,1,8,1,2,1,16,10,8,20,
16,16,4,14,24,4,4,4,8,8,8,8,1,2,4,4,6,8,12,3,2,6,4,8,2,4,4,4,4,1,10,4,16,12,4,
8,4,16,16,4,4,8,8,16,8,4,4,4,2,2,4,4,4,4,8,8,2,4,4,8,16,16,1,1,1,2,1,2,2,2,8,
2,2,8,4,4,1,2,2,2,2,8,2,8,1,1,2,2,2,2,8,2,2,2,2,4,1,1,2,2,2,8,2,4,2,4,2,4,8,4,
4,8,1,1,2,2,2,4,2,2,2,1,1,4,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,12,8,
9,4,2,24,8,8,3,6,3,9,12,4,6,24,24,8,18,24,8,4,8,8,8,8,1,6,6,24,3,6,2,6,8,2,2,
8,6,9,8,24,24,24,4,4,4,4,8,16,8,4,4,4,4,4,2,2,4,4,8,8,4,2,4,8,32,1,1,3,3,12,
12,8,1,2,2,2,2,8,2,8,2,4,2,2,8,2,4,2,4,2,2,2,2,8,2,4,2,2,2,2,4,8,2,2,4,8,1,1,
2,2,2,4,2,4,1,1,4,1,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,21,8,2,3,9,4,39,36,
24,66,4,8,8,24,3,6,7,14,6,15,30,8,32,48,4,12,8,16,8,4,12,4,4,6,4,4,4,24,32,1,
3,1,12,3,12,1,8,2,8,2,6,8,2,4,2,2,6,4,6,4,2,4,8,8,6,6,4,4,8,8,1,1,2,2,4,2,3,2,
2,4,2,4,4,2,4,4,1,1,2,1,2,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,
4,4,16,16,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,
2,8,2,2,2,24,2,2,16,16,3,1,12,3,3,12,3,12,12,4,4,1,4,1,4,4,12,4,12,4,8,8,2,2,
2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,6,2,4,1,4,8,4,1,
1,2,2,1,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,4,4,16,16,1,3,7,6,
14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,2,2,8,2,2,8,16,2,
2,16,16,3,1,12,3,3,12,3,12,12,4,4,4,1,4,1,4,4,16,4,4,16,4,2,2,2,2,2,4,4,4,16,
4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,2,8,2,1,4,4,4,4,2,1,1,2,1,1],[
1,2,16,4,5,8,12,2,4,12,8,1,8,1,2,6,1,8,10,6,4,20,16,16,24,12,24,4,14,24,24,24,
2,2,8,8,4,8,8,1,3,2,1,6,4,4,6,8,8,12,6,1,2,6,2,4,4,4,4,1,10,6,6,24,8,24,24,24,
4,16,12,4,8,4,16,16,2,2,2,2,2,2,2,2,8,4,4,8,4,4,8,8,2,4,2,4,1,1,2,4,4,8,8,2,2,
8,8,8,8,3,1,12,1,2,1,2,2,2,8,3,12,2,2,8,2,2,2,2,2,2,1,4,1,4,2,2,8,8,2,2,2,2,8,
8,2,2,1,1,2,1,1,2,2,2,2,4,4,8,8,2,2,8,8,2,2,2,2,2,2,2,4,4,8,8,8,8,1,1,2,2,1,1,
1,1,4,2,2,4,4,4,1,1,4,4,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,10,12,21,4,2,24,
3,6,9,39,12,6,24,24,36,66,24,4,16,4,16,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,
8,24,24,24,4,4,4,4,8,8,8,8,16,2,2,2,8,2,16,24,2,2,16,3,1,12,3,3,12,3,12,12,4,
4,4,1,4,1,4,4,4,16,4,4,16,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,
1,1,1,4,4,8,4,2,2,8,1,4,4,4,4,2,1,1,2,1,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,
24,24,36,66,24,4,4,32,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,
4,8,8,8,8,16,2,2,2,2,16,32,2,2,16,3,1,12,3,3,12,3,12,12,4,8,1,4,1,4,8,16,8,16,
2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,4,8,1,4,4,8,
2,2,2,1,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,4,16,4,16,1,3,7,6,
14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,2,2,2,2,8,16,2,24,
2,16,3,1,12,3,3,12,3,12,12,4,4,4,1,4,1,4,12,4,8,12,4,8,2,2,2,2,2,4,4,4,16,4,
16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,6,2,4,1,4,8,4,1,1,2,2,1,1],[1,2,
16,4,5,8,12,2,4,12,8,1,8,1,2,6,1,8,10,6,4,20,16,16,24,12,24,4,14,24,24,24,2,8,
2,8,4,8,8,1,3,2,1,6,4,4,6,8,8,12,6,1,2,6,2,4,4,4,4,1,10,6,6,24,8,24,24,24,4,
16,12,4,8,4,16,16,2,2,2,2,2,2,2,2,8,4,4,8,4,4,8,8,2,2,1,1,2,4,4,8,8,4,2,8,12,
2,8,8,3,1,12,1,2,1,2,2,2,8,3,12,2,2,8,2,2,2,2,2,2,1,4,1,4,2,2,8,2,2,8,2,2,8,2,
2,8,1,1,2,1,1,2,2,2,2,4,4,8,8,2,2,8,8,2,2,2,2,2,2,2,4,4,8,8,8,8,1,1,2,2,1,1,1,
1,4,2,2,4,4,4,1,1,4,1,1,4,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,10,12,21,4,2,24,3,
6,9,39,12,6,24,24,36,66,24,4,4,32,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,
24,24,4,4,4,4,8,8,8,8,16,2,16,2,2,2,2,2,32,16,3,1,12,3,3,12,3,12,12,4,1,4,1,8,
4,8,8,16,16,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,
4,8,1,8,4,4,2,2,2,1,1],[1,2,12,13,4,16,1,6,5,1,12,6,8,16,12,8,8,12,4,16,8,1,2,
2,3,2,4,8,2,1,2,8,8,4,4,8,8,8,16,2,4,2,8,12,4,6,8,2,16,8,16,1,1,1,2,4,1,2,4,1,
2,2,4,2,4,4,2,2,4,2,4,4,2,4,4,2,4,2,2,4,2,4,4,4,1,1,2,2,1,2,2,2,2,2,2,4,4,4,4,
4,4,1,1,2,1,2,1],[1,2,4,8,5,4,8,8,8,1,6,1,4,1,4,4,2,8,8,8,8,4,8,8,4,8,8,12,8,
8,1,2,2,1,2,2,2,2,8,2,1,2,8,8,4,4,4,4,4,4,4,4,16,2,4,4,2,4,2,2,8,2,2,2,12,2,8,
8,8,8,8,1,1,1,2,2,2,1,2,2,2,1,2,2,4,2,2,2,4,1,1,2,2,2,1,1,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,4,2,2,1,1,2,2,1,1,1,2,1,1,2,2,2,2,2,2,2,4,4,2,2,2,2,1,1,1,1,1,
1,1,1],[1,2,4,13,12,1,18,16,5,1,4,2,8,16,12,8,8,4,12,8,16,3,12,2,2,1,2,2,1,2,
8,8,4,4,8,8,24,2,4,6,12,8,16,2,4,2,8,8,16,1,1,1,2,4,4,1,2,1,2,2,2,4,4,2,4,4,2,
4,2,4,4,6,2,4,2,4,2,4,6,4,1,1,2,2,2,1,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,2,
4,5,12,8,1,18,16,1,4,1,4,2,8,8,8,4,8,8,8,4,4,8,8,8,8,3,12,2,2,1,2,2,1,2,8,8,4,
4,8,4,4,4,4,16,2,4,2,4,2,2,8,4,4,8,8,2,4,2,8,8,8,8,1,1,1,2,2,2,2,2,1,2,1,2,2,
2,2,2,4,1,1,2,2,2,2,1,1,2,2,2,4,2,2,2,4,2,4,2,4,2,2,2,2,4,2,2,1,1,2,2,1,1,1,2,
1,1,2,2,2,2,2,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,4,5,4,12,1,6,1,6,1,4,6,
2,8,8,12,8,4,8,8,8,2,4,2,8,12,8,4,8,1,3,1,2,2,1,2,2,1,2,2,8,8,8,2,2,2,2,8,2,2,
2,2,4,4,8,4,4,2,2,4,2,4,2,1,1,2,4,8,2,12,2,8,8,8,16,1,1,1,2,2,2,2,2,1,1,4,4,4,
2,2,4,1,2,2,2,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,
1,1,1,1,2,1,2,1,1,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,4,4,13,4,4,1,6,5,2,
1,4,6,2,8,8,16,4,12,8,8,2,6,8,4,16,4,8,1,2,1,1,2,2,1,2,2,1,2,2,8,8,8,2,2,2,2,
8,2,2,2,2,8,8,8,2,2,2,8,3,1,2,4,8,2,12,2,16,8,16,1,1,1,2,2,2,4,1,1,4,4,4,2,2,
4,1,2,2,2,2,2,1,2,2,4,2,2,4,1,1,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,2,1,1,1,2,2,1,2,
1,1,2,2,2,4,4,2,2,4,4,1,1,1,1,1,1,1,1],[1,6,4,9,4,8,1,6,3,4,15,4,2,8,4,8,8,12,
8,8,4,12,8,8,8,8,1,1,2,3,2,1,2,2,3,2,8,8,8,4,8,4,4,4,4,4,8,4,4,4,4,2,4,2,2,2,
4,8,6,8,2,8,8,8,16,1,1,1,2,2,2,2,2,1,1,4,4,4,2,2,4,1,2,2,2,2,2,1,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,1,2,1,2,1,1,2,2,2,4,4,2,2,4,4,1,
1,1,1,1,1,1,1],[1,6,8,8,9,8,16,1,3,15,8,12,4,8,4,12,8,20,12,8,1,3,2,2,2,2,12,
3,8,8,8,4,4,8,16,8,2,4,6,10,8,20,4,2,8,8,16,1,1,1,5,2,2,1,2,4,2,2,4,4,4,4,2,4,
2,4,4,2,2,4,2,2,2,4,4,4,2,4,4,1,1,2,2,2,2,1,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[
1,6,8,9,8,8,1,3,4,15,8,4,8,4,24,12,4,8,8,12,16,1,6,3,2,2,2,3,8,8,8,4,12,8,8,
16,2,6,4,6,8,8,24,4,2,8,16,1,1,1,1,2,4,2,2,1,4,2,2,4,4,4,2,2,4,2,4,4,4,2,4,6,
2,2,4,6,4,4,1,1,2,2,1,2,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,2,4,8,5,4,8,8,8,
1,6,1,4,1,4,4,2,8,8,8,8,4,8,8,12,8,4,8,8,8,1,2,2,1,2,2,2,2,8,2,1,2,8,8,4,4,4,
4,4,4,4,4,16,2,4,2,2,2,8,2,2,4,4,8,8,4,2,8,2,8,8,8,1,1,1,2,2,2,1,2,2,2,1,2,2,
2,2,2,4,1,1,2,2,2,4,2,2,1,1,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,2,2,1,1,
1,2,1,1,2,2,2,2,2,4,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,12,5,4,8,16,1,6,1,4,1,
12,6,8,8,8,4,8,8,8,4,8,4,8,8,8,1,2,2,3,2,4,8,2,1,2,8,8,4,4,8,4,4,4,4,16,2,4,2,
2,2,8,4,4,4,8,8,2,12,2,8,8,8,1,1,1,2,2,2,1,2,2,2,1,2,2,2,2,2,4,1,1,2,2,2,4,2,
2,1,1,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,2,4,1,1,2,2,1,1,1,2,1,1,2,2,2,2,2,4,2,2,4,
2,2,2,2,1,1,1,1,1,1,1,1],[1,2,4,8,13,4,8,8,1,6,5,1,4,4,2,8,8,16,12,8,8,4,8,4,
8,8,8,1,2,2,1,2,2,2,2,8,2,1,2,8,8,4,4,4,4,8,8,16,2,4,2,12,2,2,4,4,8,8,2,12,2,
8,16,1,1,1,2,4,1,2,2,2,1,2,2,2,4,4,2,2,2,2,4,4,2,4,2,2,2,4,2,2,2,4,2,2,4,2,4,
2,2,1,1,2,2,1,1,1,2,2,2,2,2,2,2,4,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,6,12,9,4,8,1,
6,3,15,12,6,8,8,4,12,8,8,16,8,8,8,1,1,3,2,3,2,2,2,3,8,8,8,4,4,4,4,8,8,8,8,2,4,
4,2,8,2,16,12,4,2,8,8,16,1,1,1,4,4,2,1,1,2,2,2,4,4,2,2,4,1,2,2,4,4,2,2,1,2,2,
4,2,2,2,2,2,4,4,2,2,2,4,1,1,1,1,2,2,1,1,1,2,2,1,2,1,4,4,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,6,8,8,9,8,16,1,3,15,8,12,4,8,4,12,8,4,12,8,16,1,3,2,2,2,2,12,3,8,8,
8,4,4,16,8,8,2,4,6,2,8,4,24,4,2,8,8,16,1,1,1,1,4,2,2,1,2,4,2,2,4,4,4,2,4,2,4,
2,2,4,4,4,2,2,2,4,4,2,4,4,4,1,1,2,2,2,2,1,2,2,2,2,2,4,2,2,2,4,4,4,1,1,1,1,1,1,
1,1],[1,6,12,9,4,8,1,6,3,15,12,6,8,8,4,12,8,8,8,8,24,1,1,3,2,3,2,2,2,3,8,8,8,
4,4,4,4,8,8,8,8,2,4,4,2,2,36,16,4,2,8,8,1,1,1,6,4,1,1,2,2,2,4,4,2,2,1,6,2,6,2,
1,2,4,2,4,2,2,2,2,2,4,4,2,2,2,4,1,1,1,1,2,3,2,1,1,2,1,2,1,2,4,2,4,2,2,8,1,1,1,
1,1,1,1,1],[1,2,4,4,5,4,12,1,6,1,6,1,4,6,2,8,8,12,8,4,8,8,8,2,12,2,4,4,8,8,8,
1,3,1,2,2,1,2,2,1,2,2,8,8,8,2,2,2,2,8,2,2,2,2,4,4,8,4,4,2,2,2,2,1,1,2,4,4,4,8,
8,8,16,4,2,8,2,8,1,1,1,2,4,2,2,2,2,1,1,2,4,4,2,1,2,2,2,2,2,2,2,4,1,2,2,2,2,2,
2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,2,1,1,1,1,1,2,1,1,2,2,4,4,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,6,4,9,4,8,1,6,3,4,15,4,2,8,4,8,8,12,8,8,4,4,8,8,16,8,1,
1,2,3,2,1,2,2,3,2,8,8,8,4,8,4,4,4,4,4,8,4,4,4,2,2,2,2,4,24,16,8,2,12,2,8,1,1,
1,2,4,2,4,2,1,1,2,4,4,2,1,2,2,4,2,2,2,4,1,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
1,1,1,2,1,2,1,1,2,1,2,1,1,2,2,4,4,2,2,2,8,1,1,1,1,1,1,1,1],[1,2,4,4,13,4,4,1,
6,5,2,1,4,6,2,8,8,16,4,12,8,8,2,6,8,4,4,8,16,1,2,1,1,2,2,1,2,2,1,2,2,8,8,8,2,
2,2,2,8,2,2,2,2,8,8,8,2,2,2,3,1,2,8,4,16,8,16,2,12,2,8,1,1,1,2,4,2,4,2,1,1,2,
4,4,2,1,2,2,4,2,2,2,4,1,2,2,2,2,4,1,1,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,2,1,2,1,1,
2,1,2,1,1,2,2,4,4,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,
24,24,36,66,24,4,4,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,
8,8,8,16,2,2,2,2,2,2,16,16,3,1,12,3,3,12,3,12,12,4,1,4,1,4,2,2,2,2,2,4,4,4,16,
4,16,2,2,4,2,4,4,4,16,16,8,8,8,1,1,4,1,1,1,1,4,4,8,4,1,4,4,4,4,4,8,1,2,2,2,
1],[1,6,4,8,9,4,8,16,1,6,3,4,15,4,12,2,8,16,4,24,12,8,16,4,12,4,8,16,1,1,6,3,
2,4,1,2,12,2,3,4,8,8,16,8,4,4,4,12,4,4,8,8,4,4,4,4,4,4,4,2,2,6,8,2,4,4,8,24,
16,6,4,8,8,16,8,1,1,1,2,1,1,2,1,2,4,4,2,2,1,2,4,2,4,4,4,4,4,2,4,4,2,2,4,2,2,2,
6,8,2,2,2,2,4,4,4,4,4,8,2,6,2,8,2,4,4,8,8,8,8,8,8,8,1,2,1,2,1,2,2,1,2,1,2,4,4,
8,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,6,4,8,9,4,8,16,1,6,3,4,15,4,
12,2,8,16,4,24,12,8,16,4,4,4,8,8,8,8,1,1,6,3,2,4,1,2,12,2,3,4,8,8,16,8,4,4,4,
12,4,4,8,8,4,4,4,4,4,4,4,2,2,6,8,2,4,4,8,4,4,8,8,16,2,4,12,8,16,8,1,1,1,2,1,1,
2,1,2,4,2,2,2,2,1,2,4,2,4,4,4,4,4,2,2,2,4,2,2,2,2,2,2,2,6,8,2,2,2,2,4,4,4,4,4,
8,2,6,2,8,2,4,4,8,8,8,8,8,8,8,1,2,1,2,1,2,2,1,1,1,1,2,4,4,8,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,6,12,9,12,16,1,18,16,3,15,12,6,24,
4,12,24,12,8,8,16,3,12,1,3,3,6,4,8,6,3,8,24,12,12,12,12,24,4,6,4,6,12,8,24,16,
6,12,8,16,8,1,1,1,3,4,2,4,3,4,3,3,2,2,4,4,4,4,2,4,2,2,4,4,2,4,6,6,6,12,12,6,
12,6,12,12,24,24,3,3,3,1,2,2,1,2,4,12,2,2,6,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[
1,2,4,12,5,12,4,8,8,1,18,16,1,2,1,4,10,2,8,8,24,4,4,8,24,6,8,6,4,4,8,8,3,12,1,
1,2,1,2,6,2,2,8,2,1,6,8,8,16,2,4,6,2,2,4,4,2,2,4,4,4,6,6,8,12,2,2,2,1,3,4,2,2,
2,4,4,12,4,4,8,8,16,2,6,6,4,8,8,8,4,4,1,1,1,1,2,2,2,2,4,1,2,2,2,1,2,1,2,2,2,2,
2,2,2,4,4,1,1,2,2,2,2,2,2,4,1,1,2,2,1,1,4,1,1,4,2,2,2,2,2,4,4,2,2,4,4,2,6,4,6,
2,4,6,6,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,2,1,2,1,2,1,1,1,1,1,2,2,2,2,4,4,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,6,4,16,9,
4,32,16,1,6,3,15,4,24,2,8,16,4,12,8,12,16,8,8,1,1,3,4,1,2,4,24,4,16,2,3,8,8,4,
4,16,4,8,8,8,4,8,8,4,4,2,8,2,4,16,8,8,6,4,8,8,8,16,16,8,2,2,1,1,4,4,2,2,2,1,4,
2,4,2,4,4,4,4,4,2,2,2,2,4,2,2,2,2,2,4,2,2,4,4,8,4,8,4,4,2,2,8,4,4,8,8,8,8,8,8,
8,8,8,2,1,2,4,1,1,1,1,2,2,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[
1,2,12,12,5,4,4,8,16,24,1,6,1,2,1,12,10,6,8,24,8,4,4,8,8,6,8,6,8,4,8,4,1,1,1,
6,3,2,2,4,8,2,6,16,8,2,1,2,8,8,2,2,2,6,4,4,4,4,2,6,12,4,6,2,8,4,2,2,4,2,1,3,4,
6,4,6,2,4,4,12,2,2,2,12,8,8,8,8,16,4,4,2,1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,2,4,2,
4,4,2,2,2,2,4,1,1,2,2,2,2,2,1,1,2,2,2,1,1,1,1,4,2,2,2,6,2,4,2,4,2,4,4,2,2,2,6,
4,2,6,4,4,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,1,1,1,1,2,1,1,2,2,4,2,2,
4,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,1],[1,10,12,
21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,20,20,1,3,7,6,14,24,6,3,6,6,8,6,15,30,
32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,10,10,10,10,10,10,80,3,1,12,3,3,12,3,12,
12,20,5,20,5,20,4,8,4,4,4,8,4,8,4,4,4,8,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,
16,16,1,1,4,1,1,1,1,4,4,8,4,4,8,4,4,8,8,4,8,5,8,2,2,2,1,1],[1,10,4,21,4,2,3,6,
9,39,4,2,8,36,66,8,8,8,4,16,8,1,3,7,14,6,1,2,2,15,30,32,48,8,8,4,4,8,4,4,8,8,
8,2,2,4,2,8,12,4,16,8,16,3,1,12,1,3,12,4,2,2,1,4,2,4,4,2,4,2,3,2,8,4,2,4,2,8,
4,1,2,8,8,2,2,2,4,4,2,2,2,8,8,1,1,2,1,1,1,2,2,1,1,1,4,2,1,2,2,4,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,2,16,4,5,8,4,2,4,12,8,1,8,1,2,2,1,8,10,6,4,20,16,16,8,4,4,14,
24,8,6,2,8,4,8,8,8,1,1,2,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,2,8,4,16,12,4,8,
4,16,16,2,2,2,2,2,6,2,6,8,4,4,8,2,4,1,3,2,4,4,4,8,8,8,16,2,8,8,1,1,1,2,1,2,2,
2,8,2,2,8,2,4,2,2,2,2,1,4,4,3,2,2,2,2,8,2,2,2,4,8,1,2,2,2,2,8,2,8,1,1,1,3,2,2,
2,2,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,2,1,1,1,4,1,1,4,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,6,16,9,8,2,4,12,8,1,8,3,2,15,8,10,4,20,16,16,4,12,14,24,8,4,8,16,8,1,1,3,2,
4,4,6,8,12,1,2,6,2,4,4,4,4,3,10,8,4,16,12,4,8,4,16,16,4,4,8,8,8,4,4,8,2,4,4,2,
4,24,8,16,2,8,8,1,1,1,2,1,2,2,2,8,2,2,8,2,4,4,2,2,1,4,4,3,2,2,4,8,4,2,4,8,1,2,
4,2,8,2,8,2,4,2,2,4,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,2,2,1,4,1,1,4,2,2,2,8,1,1,1,
1,1,1,1,1],[1,6,12,4,9,4,4,2,24,3,6,3,2,9,12,6,6,24,24,8,4,18,24,8,2,6,8,4,16,
8,1,1,6,1,2,6,24,3,6,6,8,6,9,2,8,8,24,24,24,2,2,2,2,6,2,6,2,8,4,4,8,2,4,3,1,2,
4,8,8,16,16,2,8,8,1,1,3,3,12,12,2,4,4,2,2,1,4,4,3,2,4,2,8,2,2,2,8,4,1,2,4,2,8,
2,8,1,1,3,1,2,2,2,2,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,2,2,1,4,1,1,4,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,6,12,4,9,4,4,2,24,3,6,3,2,9,12,6,6,24,24,8,4,18,24,8,2,6,16,8,
4,8,1,1,6,1,2,6,24,3,6,6,8,6,9,2,8,8,24,24,24,2,2,2,2,6,2,6,2,8,4,4,8,2,4,3,1,
2,4,8,2,24,8,8,16,1,1,3,3,12,12,2,2,4,2,1,4,4,4,4,3,12,2,2,8,2,2,2,1,2,12,2,8,
2,1,1,3,1,2,2,2,2,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,6,1,4,1,2,1,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,2,16,4,5,8,4,2,4,12,8,1,8,1,2,2,1,8,10,6,4,20,16,16,8,4,4,14,24,8,
6,8,2,8,8,4,8,1,1,2,1,2,4,4,6,8,12,1,2,6,2,4,4,4,4,1,10,2,8,4,16,12,4,8,4,16,
16,2,2,2,2,2,6,2,6,8,4,4,8,2,4,1,3,2,4,8,4,2,8,12,8,8,16,1,1,1,2,1,2,2,2,8,2,
2,8,2,2,2,2,2,1,4,4,4,4,3,2,2,8,2,2,8,2,2,2,1,2,2,2,8,2,8,2,1,1,1,3,2,2,2,2,8,
2,2,2,8,1,1,2,2,1,1,1,2,1,2,1,1,4,1,4,1,2,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,6,
16,9,8,2,4,12,8,1,8,3,2,15,8,10,4,20,16,16,4,12,14,24,16,8,12,8,1,1,3,2,4,4,6,
8,12,1,2,6,2,4,4,4,4,3,10,8,4,16,12,4,8,4,16,16,4,4,8,8,8,4,4,8,2,4,4,2,4,8,6,
8,12,8,24,1,1,1,2,1,2,2,2,8,2,2,8,2,2,2,2,2,1,4,4,4,4,3,2,2,8,2,2,8,4,2,1,2,2,
2,8,2,8,2,2,4,2,2,4,8,2,2,2,8,1,1,2,2,1,1,1,2,1,2,1,1,4,1,4,1,2,1,2,2,2,4,4,1,
1,1,1,1,1,1,1],[1,6,20,9,4,4,8,24,16,1,2,3,15,12,8,6,16,8,24,4,12,4,16,12,16,
16,1,3,4,4,8,8,2,4,2,8,8,8,16,2,3,8,4,4,4,8,12,12,4,8,24,4,4,16,4,8,4,8,4,6,2,
8,8,16,4,2,8,24,1,8,4,1,1,2,4,8,1,2,2,2,4,2,1,4,2,2,4,4,2,4,8,3,2,1,4,8,2,2,8,
4,8,4,2,2,4,4,8,2,2,4,8,1,1,2,2,1,2,1,1,1,1,2,4,2,2,4,2,2,2,2,4,4,2,1,1,1,2,
1],[1,10,4,21,4,2,3,6,9,39,4,2,8,36,66,8,8,8,4,24,1,3,7,14,6,1,2,2,15,30,32,
48,8,8,4,4,8,4,4,8,8,2,2,4,2,8,36,16,4,8,3,1,12,1,3,12,2,6,4,1,2,4,4,2,4,2,3,
14,8,2,14,8,1,2,4,2,2,2,4,4,2,2,2,8,8,1,1,2,1,1,1,2,2,1,1,7,4,2,1,2,2,2,2,8,1,
1,1,1,1,1,1,1],[1,6,4,25,4,5,6,15,15,4,2,8,60,60,8,8,4,8,24,1,10,20,1,2,2,15,
30,60,20,8,4,4,4,8,4,16,8,2,12,4,12,2,2,24,16,8,1,1,15,15,2,4,1,6,2,2,2,4,1,2,
3,2,12,2,12,2,4,12,12,2,2,4,4,4,2,2,8,8,1,1,2,1,1,1,1,2,2,6,2,1,2,6,2,2,2,4,4,
2,1,1,1,2,1],[1,6,4,25,4,16,5,6,15,8,15,4,2,8,60,48,16,60,8,16,4,8,24,1,10,12,
20,4,1,2,2,15,30,4,16,60,16,20,8,4,4,4,8,8,24,4,8,48,24,16,8,8,2,12,4,4,2,2,4,
24,16,8,8,1,2,1,15,2,15,1,2,6,4,2,2,1,2,3,2,4,12,12,2,2,4,4,4,4,2,12,4,4,4,4,
12,24,16,2,2,8,24,16,8,8,16,8,16,1,1,2,6,4,2,1,1,1,1,2,2,4,12,1,2,6,4,8,4,2,4,
2,4,2,4,1,2,1,1,2,2,2,2,2,1],[1,6,20,12,9,4,4,2,24,8,16,24,3,6,3,2,9,20,10,10,
24,24,24,8,4,18,24,8,2,4,10,8,4,8,1,1,6,1,6,6,24,5,6,2,4,6,8,8,2,6,16,8,6,9,2,
8,8,24,24,24,2,2,2,6,4,4,4,4,6,6,12,4,10,2,8,4,8,16,8,16,8,4,8,4,8,8,2,4,3,1,
4,6,4,6,2,4,4,4,4,8,2,2,2,8,8,4,4,2,1,1,1,1,3,3,12,12,2,2,1,1,2,2,1,2,2,2,4,3,
2,2,2,2,2,4,1,2,2,2,4,4,1,1,3,1,4,2,2,2,2,6,2,4,2,4,2,4,8,8,4,2,2,2,2,6,4,4,8,
4,2,4,8,2,6,4,4,8,6,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,2,2,2,2,2,2,
1,1,1,2,2,2,1,2,4,4,2,2,1,1,1,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,2,24,12,5,8,4,2,4,12,8,8,16,24,1,8,1,2,2,1,16,10,10,8,20,16,16,24,
8,4,4,14,24,8,6,4,6,8,4,8,1,1,2,1,6,4,4,6,8,12,3,2,6,2,4,8,2,2,6,4,4,4,16,8,4,
1,10,2,8,4,16,12,4,8,4,16,16,2,2,2,6,4,4,4,4,2,10,12,4,6,6,8,4,8,16,8,8,16,4,
8,4,8,8,2,4,1,3,4,6,4,6,2,4,4,4,4,8,2,2,2,8,8,4,4,2,1,1,1,1,1,2,1,2,2,2,8,2,2,
8,2,2,1,1,2,2,1,2,2,2,4,3,2,2,2,2,2,4,1,2,2,2,4,4,1,1,1,3,4,2,2,2,2,6,2,4,2,4,
2,4,8,8,4,2,2,2,2,6,4,4,8,4,2,4,8,2,6,4,4,8,6,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,2,1,2,2,2,2,2,2,2,1,1,1,2,2,2,1,2,4,4,2,2,1,1,1,2,2,2,4,2,2,4,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,16,16,9,8,2,4,12,8,32,16,1,8,3,2,15,8,
10,24,4,20,16,16,16,4,12,14,24,8,8,4,8,8,1,1,3,2,4,4,4,6,8,12,1,2,6,4,2,24,4,
4,4,4,16,4,3,10,8,4,16,12,4,8,4,16,16,4,4,16,8,8,8,8,8,8,8,8,16,8,8,16,4,8,4,
8,8,2,4,4,4,2,4,8,8,8,4,8,2,4,8,8,8,2,2,1,1,1,2,1,2,2,2,8,2,2,8,2,2,2,2,2,1,4,
2,4,3,2,2,4,2,4,1,2,2,2,4,4,2,4,4,2,4,2,4,8,4,8,8,8,4,2,4,2,2,8,4,8,4,2,4,8,4,
4,8,8,8,8,4,8,8,8,8,8,8,8,1,2,2,1,2,2,4,2,2,2,1,1,1,2,2,2,1,2,4,4,2,2,1,1,1,2,
4,4,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,10,4,16,21,4,2,32,16,3,6,
9,39,4,24,2,8,16,36,66,8,8,16,4,8,1,3,7,4,14,6,1,2,4,24,4,16,2,15,30,32,48,8,
8,4,32,4,16,8,8,8,16,8,8,4,4,8,8,24,2,2,8,2,4,16,8,8,12,4,4,8,8,2,2,3,1,12,1,
3,12,4,2,2,1,4,2,2,2,4,6,3,2,4,6,2,4,1,2,2,8,2,2,4,4,8,4,16,12,8,4,4,2,8,2,2,
2,8,4,4,8,16,8,12,8,8,8,8,8,8,8,1,2,1,4,2,4,2,1,1,1,6,2,2,2,2,4,2,1,3,1,2,1,2,
4,4,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,10,16,3,10,12,2,24,4,20,
5,4,1,2,6,6,6,16,5,8,32,20,12,24,6,12,32,24,6,10,4,4,4,4,4,1,3,1,2,8,6,8,6,2,
5,1,14,5,8,16,3,6,8,6,24,8,24,24,24,8,2,2,4,12,2,2,4,16,8,4,8,6,10,8,8,6,6,4,
4,4,4,4,8,8,4,4,8,8,2,3,3,4,2,1,3,2,2,6,6,16,2,2,8,2,1,3,2,8,2,4,2,1,1,2,3,1,
12,1,3,12,3,1,2,2,1,2,2,2,2,2,2,2,3,3,1,2,1,1,2,2,6,2,2,2,1,2,2,3,3,4,2,1,3,2,
2,4,4,1,1,4,14,2,2,8,3,3,2,2,2,1,1,2,2,2,6,2,2,2,8,2,2,6,6,2,1,3,4,14,2,2,8,8,
2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,2,4,2,2,1,2,1,3,1,2,2,2,2,1,1,1,3,3,2,1,1,1,1,1,
1,2,2,2,1,3,1,2,1,2,2,2,1,1,2,1,1,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,6,36,9,4,4,8,24,32,32,1,2,3,15,28,8,14,16,8,40,4,12,
4,16,4,16,16,1,3,8,4,8,8,6,4,8,6,16,8,8,8,16,2,3,8,4,4,4,8,28,12,4,8,24,4,4,
16,32,32,24,4,24,4,8,16,8,6,2,8,16,6,24,8,8,1,8,4,2,1,3,2,4,8,1,2,2,4,6,3,2,4,
8,3,2,1,4,2,8,4,6,2,8,12,24,8,2,8,16,6,2,12,8,24,8,16,24,24,1,6,3,2,4,2,1,2,1,
1,4,1,4,8,1,4,2,2,4,12,6,2,4,2,4,1,1,2,1,2,2,2,2,2,1],[1,2,16,12,5,16,4,2,4,
12,8,8,8,1,20,16,1,2,2,1,8,10,10,4,20,16,16,8,24,4,4,14,24,24,6,4,6,8,4,8,3,
12,1,2,1,2,4,4,6,8,12,1,2,6,6,2,2,2,4,4,4,8,4,1,10,6,8,4,16,12,16,4,8,4,16,16,
2,4,6,8,2,2,4,4,2,6,4,4,4,6,10,8,12,24,8,16,8,4,4,8,8,2,1,3,4,2,2,2,4,4,4,4,8,
2,6,6,4,12,8,4,4,1,1,1,1,1,2,2,1,2,2,2,8,2,2,8,2,1,2,2,1,2,2,1,2,2,3,2,4,2,2,
2,2,2,4,1,2,4,2,4,1,1,4,1,3,4,2,2,2,2,2,2,4,4,2,2,4,4,8,2,2,6,4,6,12,2,4,6,6,
12,4,8,2,8,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,2,2,1,2,2,2,2,2,1,1,1,
2,2,2,4,1,2,4,2,1,2,1,1,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,6,24,9,16,2,4,12,8,16,1,20,16,3,2,15,16,10,8,20,32,16,4,12,14,40,16,8,4,
8,3,12,1,3,2,4,4,6,8,12,3,6,6,4,8,2,4,4,4,8,3,10,8,4,16,28,4,8,4,16,16,12,8,
12,16,16,24,24,8,16,8,4,4,8,8,2,8,6,12,4,8,6,12,12,8,8,1,1,1,1,3,2,1,2,2,2,8,
2,2,8,2,3,2,3,2,3,2,3,2,4,2,2,4,2,4,1,2,4,2,4,6,8,6,2,12,12,8,2,6,12,12,6,12,
12,4,8,2,8,12,4,8,24,24,1,3,3,2,3,2,2,2,2,1,1,1,2,2,2,4,1,2,4,2,1,2,1,1,2,4,
12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,12,12,9,12,4,2,24,8,8,3,18,16,
3,2,9,12,10,6,24,24,8,24,4,18,24,24,2,12,10,4,8,3,12,1,6,1,2,6,24,3,6,6,6,8,2,
2,8,6,9,6,8,8,24,16,24,24,2,12,6,2,2,4,4,6,2,4,4,12,10,6,24,12,8,16,8,4,4,8,8,
2,3,1,4,2,2,2,4,4,4,4,8,6,6,6,12,8,4,4,1,1,1,1,3,2,3,12,12,2,1,2,2,3,2,1,2,2,
3,6,2,2,2,2,2,4,1,6,2,4,1,1,4,3,1,4,2,2,2,2,2,2,4,4,2,2,4,4,8,2,6,6,12,6,6,12,
6,6,4,8,2,8,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,2,2,3,2,2,2,2,1,1,1,2,
2,6,1,2,4,2,3,1,1,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
10,4,8,21,4,8,2,16,3,6,9,4,39,4,12,2,8,16,36,24,66,8,16,4,8,4,4,8,8,1,3,6,7,2,
4,14,6,1,2,12,2,15,4,30,8,32,48,16,8,4,8,4,12,4,4,8,8,4,4,4,8,4,4,8,4,8,4,16,
8,8,8,24,4,2,2,2,6,8,2,4,4,8,12,4,4,8,8,8,1,1,3,2,1,12,1,3,12,1,2,1,2,2,1,2,2,
2,2,2,4,3,2,4,2,4,2,4,2,4,1,2,2,2,6,8,2,2,2,2,4,4,4,4,4,8,12,2,6,2,8,4,4,4,2,
4,8,2,2,8,4,8,12,8,8,8,8,8,8,8,8,1,1,2,1,2,1,2,2,2,2,1,1,1,2,2,2,4,2,4,2,2,1,
1,2,1,2,1,2,4,4,8,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,10,12,7,10,16,
2,4,12,5,4,3,2,8,6,18,5,40,12,4,32,24,6,20,40,24,6,6,4,4,4,4,4,4,1,1,8,3,10,6,
8,6,3,1,3,8,5,6,10,6,24,8,8,24,40,24,8,6,6,4,6,6,12,12,6,6,6,6,4,4,4,4,4,4,4,
8,8,4,4,8,8,4,4,8,8,2,2,2,3,3,12,3,3,6,6,2,2,8,3,3,2,8,8,2,6,1,1,5,1,12,1,3,
12,3,3,2,3,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,2,2,2,1,1,2,2,1,2,3,3,12,6,3,3,6,6,3,
3,6,2,2,8,3,3,12,3,3,2,2,2,2,2,2,8,2,2,8,3,3,6,2,2,8,8,8,6,6,6,6,6,6,6,6,1,3,
3,3,2,2,2,1,1,1,2,1,1,1,1,2,2,1,1,2,2,1,1,2,1,1,2,1,2,1,2,1,3,3,3,6,6,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,16,8,13,8,2,4,12,8,8,8,
1,8,5,2,1,8,10,4,4,20,16,16,8,16,12,14,24,4,4,8,8,16,1,2,2,4,4,6,8,12,2,1,2,6,
2,2,2,2,4,4,4,8,4,1,10,2,8,4,16,12,4,8,4,16,16,4,4,4,4,4,4,8,16,12,8,12,8,8,
16,4,2,2,2,2,8,4,16,8,2,2,8,1,1,1,2,1,2,2,2,8,1,2,2,8,2,1,2,4,1,4,1,2,4,2,4,2,
4,8,4,3,2,4,4,4,8,2,2,2,2,2,4,2,8,2,2,4,4,8,2,6,2,2,4,8,8,1,2,1,1,2,2,2,2,2,2,
2,2,2,4,1,2,1,2,2,4,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,6,12,8,9,4,8,2,24,8,8,3,6,
3,4,9,12,4,6,24,24,8,8,8,18,24,8,4,4,8,8,16,1,2,6,6,24,2,3,6,2,6,8,2,2,8,6,9,
2,8,8,24,24,24,4,4,4,4,4,4,8,16,4,8,8,8,4,8,8,16,4,2,2,2,2,8,4,8,16,2,2,8,1,1,
3,3,12,1,12,2,1,4,2,1,4,1,2,4,2,4,2,4,8,4,1,2,2,4,4,4,8,2,2,2,2,2,4,2,8,2,2,2,
2,4,8,2,2,4,2,2,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,1,1,2,2,4,2,2,2,4,2,4,1,1,
1,1,1,1,1,1],[1,2,24,5,8,8,2,4,12,8,16,1,8,1,2,4,1,16,10,8,20,16,16,8,8,4,14,
24,8,4,4,8,8,8,8,1,2,2,4,4,6,8,12,2,3,2,6,4,8,2,4,4,4,4,1,10,2,8,4,16,12,4,8,
4,16,16,4,4,4,4,8,8,16,8,4,8,4,8,8,8,16,4,2,2,4,4,4,4,8,8,8,2,2,8,1,1,1,2,1,2,
2,2,8,1,2,2,8,2,1,2,2,2,1,4,1,2,2,2,2,4,2,4,8,4,2,1,2,2,2,4,4,8,2,2,2,4,4,2,8,
2,2,2,2,4,8,2,4,2,4,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,1,1,1,1,2,2,4,2,2,2,4,2,
4,1,1,1,1,1,1,1,1],[1,10,8,8,21,2,8,16,3,9,39,8,12,4,8,36,66,4,20,8,8,3,7,2,2,
14,6,2,2,12,15,30,32,48,8,4,24,4,12,12,16,12,8,12,8,2,4,10,20,12,2,2,8,1,3,1,
12,1,3,12,5,2,1,2,4,4,2,8,1,2,8,8,2,8,3,2,4,4,2,6,2,2,12,4,8,6,8,2,4,6,2,12,1,
1,2,3,2,6,2,2,2,2,2,2,4,1,4,1,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,2,24,13,8,2,4,
12,8,16,1,8,5,2,1,16,10,8,20,16,16,16,12,14,24,16,8,8,8,1,2,2,4,4,6,8,12,2,3,
2,6,4,8,2,4,4,4,4,1,10,2,8,4,16,12,4,8,4,16,16,4,8,4,8,8,16,12,8,12,24,8,4,2,
2,4,4,8,6,8,12,2,8,1,1,1,2,1,2,2,2,8,1,2,2,8,2,1,2,2,2,1,4,4,1,2,2,8,2,2,2,4,
4,3,2,2,8,2,4,4,2,2,2,4,2,8,2,2,4,4,8,2,6,4,4,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,
4,1,1,4,1,1,2,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,6,12,8,9,4,8,2,24,8,8,3,6,3,4,
9,12,4,6,24,24,8,8,8,18,24,8,4,4,16,8,8,1,2,6,6,24,2,3,6,2,6,8,2,2,8,6,9,2,8,
8,24,24,24,4,4,4,4,4,4,8,16,4,8,8,8,4,8,16,8,4,2,2,2,2,4,8,2,24,2,8,1,1,3,3,
12,1,12,2,1,2,4,1,4,4,1,12,2,2,2,4,4,1,2,12,2,4,4,2,2,2,2,2,2,8,2,2,2,2,4,8,2,
2,4,4,2,2,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,6,1,1,2,2,2,2,2,4,2,4,1,1,1,1,1,1,
1,1],[1,2,16,8,5,8,8,2,4,12,8,8,8,1,8,1,2,4,1,8,10,4,4,20,16,16,8,8,8,4,14,24,
8,8,8,8,8,8,1,2,2,4,4,6,8,12,2,1,2,6,2,2,2,2,4,4,4,8,4,1,10,2,8,4,16,12,4,8,4,
16,16,4,4,4,4,4,4,8,16,8,4,8,4,8,8,16,8,4,2,2,2,2,4,8,4,2,8,12,2,8,1,1,1,2,1,
2,2,2,8,1,2,2,8,2,1,2,2,2,1,4,4,1,2,2,8,2,2,2,4,4,2,1,2,2,8,2,4,4,2,2,2,2,2,2,
8,2,2,2,2,4,8,2,4,2,4,2,2,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,1,1,4,1,1,2,2,2,2,
2,4,2,4,1,1,1,1,1,1,1,1],[1,10,8,8,21,2,8,16,3,9,39,8,12,4,8,36,66,4,4,8,24,3,
7,2,2,14,6,2,2,12,15,30,32,48,8,4,8,4,4,4,8,16,12,8,12,8,24,2,4,2,4,36,2,2,8,
1,3,1,12,1,3,12,1,6,1,2,4,4,2,1,14,4,14,4,3,2,4,4,2,2,2,2,4,4,12,8,2,8,2,4,6,
2,4,12,1,1,2,1,2,2,2,2,2,4,2,2,2,2,7,2,1,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,2,
28,13,4,4,8,24,16,16,1,2,5,1,20,8,10,16,8,24,16,12,4,16,12,12,16,2,4,4,8,8,2,
4,4,4,2,8,8,8,8,16,2,1,2,8,4,4,4,8,12,12,4,8,24,4,4,8,16,4,8,12,12,4,32,8,2,4,
4,2,4,8,16,4,8,8,1,8,4,1,1,2,4,8,1,1,2,2,1,4,2,1,2,2,2,2,2,4,8,1,2,3,4,4,2,2,
8,4,4,4,2,2,4,4,6,8,2,4,8,2,2,2,6,4,4,8,8,1,2,1,1,2,2,2,2,2,2,2,2,2,4,1,2,1,4,
2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,6,20,9,4,8,2,24,16,3,6,3,4,9,20,10,24,
24,8,8,18,24,8,4,4,8,8,8,8,1,2,6,6,24,2,5,6,4,6,8,8,6,9,2,8,8,24,24,24,4,4,4,
4,8,8,16,4,8,8,8,8,4,8,16,4,4,2,4,2,4,4,8,2,2,8,8,8,1,1,3,3,12,1,12,2,1,2,2,2,
1,4,4,1,2,2,4,8,2,4,1,2,2,2,2,4,8,2,2,4,2,2,2,4,8,4,2,8,2,2,2,2,4,2,2,4,4,4,8,
8,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,1,4,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,
16,8,5,8,8,2,4,12,8,8,8,1,8,1,2,4,1,8,10,4,4,20,16,16,8,8,8,4,14,24,8,8,8,8,8,
8,1,2,2,4,4,6,8,12,2,1,2,6,2,2,2,2,4,4,4,8,4,1,10,2,8,4,16,12,4,8,4,16,16,4,4,
4,4,4,4,8,16,8,4,8,8,4,8,8,16,4,4,2,4,2,2,2,4,8,2,2,8,8,8,1,1,1,2,1,2,2,2,8,1,
2,2,8,2,1,2,2,2,1,4,4,1,2,2,4,8,2,4,2,1,2,2,2,4,8,2,2,4,2,2,2,2,2,8,4,2,8,2,2,
2,2,4,2,4,2,4,2,2,8,8,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,1,4,1,1,1,2,2,2,2,2,4,4,1,
1,1,1,1,1,1,1],[1,2,16,8,13,8,2,4,12,8,8,8,1,8,5,2,1,8,10,4,4,20,16,16,8,16,
12,14,24,4,4,8,16,8,1,2,2,4,4,6,8,12,2,1,2,6,2,2,2,2,4,4,4,8,4,1,10,2,8,4,16,
12,4,8,4,16,16,4,4,4,4,4,4,8,16,12,8,8,12,8,16,4,2,8,2,2,2,4,8,2,2,16,8,1,1,1,
2,1,2,2,2,8,1,2,2,8,2,1,2,4,1,4,4,1,2,2,4,8,2,4,3,4,2,4,8,4,4,2,2,2,2,2,8,4,2,
8,2,2,4,4,2,6,4,2,2,8,8,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,1,4,2,1,2,2,2,2,2,4,4,1,
1,1,1,1,1,1,1],[1,6,12,9,12,8,2,24,3,18,16,3,4,9,12,6,24,24,8,8,18,24,8,4,12,
8,8,8,3,12,2,6,6,24,2,3,6,6,8,6,9,2,8,8,24,24,24,4,12,4,12,24,4,8,8,8,4,16,8,
4,2,4,2,4,8,6,12,2,8,8,1,1,3,3,12,1,12,2,2,3,2,1,4,1,6,2,2,8,2,4,1,2,2,4,6,2,
8,2,4,2,2,2,8,6,12,6,12,2,2,2,2,4,2,4,8,1,2,1,3,2,2,2,2,6,2,2,2,3,1,4,1,1,2,2,
2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,16,5,16,8,2,4,12,8,1,20,16,1,2,4,1,8,10,4,20,
16,16,8,8,4,14,24,8,4,4,8,8,8,8,3,12,2,2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,1,10,2,
8,4,16,12,4,8,4,16,16,4,4,8,4,4,8,24,8,4,8,4,8,16,8,4,2,4,2,4,8,2,4,12,2,8,8,
1,1,1,2,1,2,2,2,8,1,2,2,8,2,2,1,2,2,1,4,1,2,4,2,2,8,2,4,2,1,2,4,2,4,2,8,2,4,2,
2,2,8,2,4,12,2,4,12,2,2,2,2,4,4,2,8,1,2,1,1,2,2,2,2,2,2,4,2,2,2,1,2,1,4,1,1,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,16,13,16,2,4,12,8,1,20,16,5,2,1,8,10,4,20,
16,16,16,12,14,24,8,8,16,8,3,12,2,2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,1,10,2,8,4,
16,12,4,8,4,16,16,8,8,4,4,8,24,12,8,28,8,4,6,2,4,8,2,4,12,2,8,8,1,1,1,2,1,2,2,
2,8,1,2,2,8,2,2,1,2,2,1,4,1,2,4,2,2,8,2,4,3,2,4,2,4,2,8,6,2,2,2,8,2,4,12,2,4,
12,2,4,6,6,8,1,2,1,1,2,2,2,2,2,2,4,2,2,2,1,2,1,4,1,1,2,2,2,2,2,4,4,1,1,1,1,1,
1,1,1],[1,10,8,8,21,2,8,16,3,9,39,8,12,4,8,36,66,4,4,8,16,8,3,7,2,2,14,6,2,2,
12,15,30,32,48,8,4,8,4,4,4,8,12,16,8,12,8,24,2,8,4,2,4,12,2,2,16,8,1,3,1,12,1,
3,12,1,2,1,4,2,4,4,2,1,4,2,4,4,4,2,4,4,3,2,8,8,2,2,2,2,4,4,4,12,8,2,8,2,6,2,4,
12,1,1,2,1,2,2,2,2,2,2,2,4,2,2,1,2,2,1,2,4,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,10,
8,21,8,2,8,3,9,4,39,8,4,8,36,24,66,4,4,8,8,8,8,3,6,7,2,14,6,2,2,15,30,8,32,48,
8,4,12,4,4,12,8,8,12,16,8,16,8,2,4,4,4,6,8,12,2,2,8,8,1,3,1,12,1,3,12,1,2,2,1,
2,2,4,4,2,2,1,2,8,2,2,4,4,2,8,2,4,4,3,2,6,2,2,2,4,8,6,4,8,2,4,4,8,6,2,8,1,1,1,
2,2,2,2,2,2,2,4,2,2,2,1,1,4,1,2,1,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,6,8,25,8,
8,5,15,4,15,8,4,8,60,24,60,4,8,4,24,10,6,2,20,2,2,15,30,8,60,20,8,4,4,4,8,12,
4,8,24,12,8,24,12,2,2,6,2,4,24,8,1,1,1,15,15,1,1,6,2,2,2,3,2,1,2,2,2,2,6,2,6,
4,12,12,2,2,4,8,4,2,8,2,6,6,12,2,6,12,1,1,2,3,2,2,2,2,2,2,2,6,3,2,1,6,2,2,4,2,
2,2,2,1,1,1,1,1,1,1,1],[1,6,24,9,8,24,32,1,3,4,15,24,12,24,4,8,12,4,12,8,1,2,
3,6,6,8,6,16,3,8,24,8,24,24,4,24,8,4,8,4,8,6,4,6,2,6,24,8,8,4,8,2,1,3,6,3,2,2,
1,1,1,2,2,2,2,2,2,6,2,6,12,24,2,2,6,1,2,2,12,24,24,4,24,4,4,4,4,8,8,8,8,6,3,2,
2,1,1,4,12,1,6,1,1,1,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,2,12,13,
4,16,1,6,5,8,1,12,6,8,16,48,16,12,8,16,4,12,8,1,2,12,2,4,3,2,2,1,2,4,16,8,16,
8,8,4,12,8,16,8,4,8,16,8,8,8,8,2,4,6,4,2,2,4,8,8,16,4,8,8,2,1,1,2,2,1,2,2,4,1,
2,1,1,2,2,2,2,2,2,2,4,4,4,4,4,3,2,4,2,4,4,4,4,8,16,2,2,8,16,4,8,16,4,8,16,4,4,
4,8,8,8,8,1,2,2,4,2,2,1,1,4,8,4,1,1,2,4,1,1,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,
2,2,2,2,1],[1,2,16,4,13,8,4,2,4,12,8,1,8,5,2,2,1,8,10,6,4,20,16,16,8,16,4,12,
14,24,8,10,4,6,8,12,1,2,1,2,1,2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,1,10,2,2,8,8,4,
16,12,4,8,4,16,16,2,4,2,2,2,4,8,2,6,2,6,8,4,12,8,8,12,4,8,8,4,6,2,4,2,3,13,6,
8,6,2,4,8,8,24,8,16,8,8,1,1,1,2,1,2,2,2,8,1,2,2,8,2,2,4,6,2,3,8,1,2,2,2,8,2,2,
2,4,4,2,2,6,4,2,6,1,1,4,2,2,4,2,4,2,2,2,4,4,4,4,2,3,1,2,6,1,2,1,2,1,3,2,2,2,2,
8,2,2,2,8,2,2,4,2,2,2,6,8,8,8,8,8,8,1,2,1,1,2,1,2,2,2,1,1,1,2,2,1,2,2,1,1,2,2,
4,1,2,2,1,1,2,2,2,2,4,2,2,3,1,2,2,2,2,2,1,2,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,4,2,2,2,6,4,2,2,4,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,6,
12,4,9,4,12,2,24,3,6,3,6,9,12,6,6,24,24,8,12,8,18,24,8,8,6,8,6,8,12,1,3,6,1,2,
6,24,2,3,6,6,8,6,9,2,2,8,8,8,24,24,24,6,2,6,2,8,6,2,6,2,8,4,12,8,8,12,4,8,8,4,
6,4,2,4,3,3,8,4,2,8,4,2,4,2,16,8,32,8,8,8,1,1,3,3,12,1,12,2,8,2,2,2,2,1,8,2,1,
4,8,2,2,2,2,4,4,4,4,4,4,4,2,3,1,2,4,2,2,4,2,4,6,4,2,2,2,1,2,3,4,4,1,3,2,3,1,2,
2,2,2,8,2,2,2,8,2,2,2,2,2,2,2,6,8,8,8,8,8,8,1,2,1,1,2,1,2,2,2,1,1,1,2,3,2,2,1,
1,2,2,4,1,2,1,2,1,4,2,2,2,2,2,2,1,1,2,2,2,2,2,2,1,1,2,2,2,4,2,2,2,2,2,2,2,4,2,
2,2,4,2,2,4,2,4,2,4,2,4,4,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[
1,6,16,9,8,8,2,4,12,8,1,8,3,2,4,15,8,10,4,20,16,16,4,8,8,12,14,24,8,4,8,8,4,
16,1,1,2,3,2,4,4,6,8,12,2,1,2,6,2,4,4,4,4,3,10,2,8,8,4,16,12,4,8,4,16,16,4,4,
8,4,4,8,8,8,8,4,4,8,8,4,4,8,8,8,2,8,6,4,4,2,8,2,4,8,2,4,6,8,8,16,8,24,8,8,1,1,
1,2,1,2,2,2,8,1,2,2,8,2,2,6,4,2,1,2,8,3,2,2,8,2,2,2,4,6,6,2,4,6,2,3,2,1,4,2,2,
4,4,2,2,2,4,6,2,2,3,1,2,2,4,2,2,2,2,4,2,2,4,8,2,2,2,8,2,2,2,2,2,2,4,2,2,8,8,8,
8,8,8,1,2,1,1,2,1,2,2,2,1,1,1,2,1,2,2,2,1,1,2,2,2,2,1,2,1,1,2,4,2,2,4,2,2,2,2,
4,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,6,2,2,4,4,2,2,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,10,12,21,4,2,8,3,6,9,39,12,6,8,8,36,
66,8,20,20,1,3,7,2,14,6,3,2,2,2,15,30,32,48,8,8,8,8,8,8,8,16,8,8,16,8,16,6,10,
6,6,8,10,8,6,16,48,8,8,3,1,12,1,1,3,12,8,2,2,4,3,8,3,12,2,2,2,6,12,12,4,12,4,
6,6,8,4,4,8,2,2,2,4,2,4,4,8,8,2,4,2,2,2,8,4,8,8,8,8,8,8,1,1,1,2,2,1,3,1,4,1,1,
2,2,2,1,2,1,2,1,4,6,2,6,2,2,6,4,4,2,2,3,2,6,3,2,4,2,2,4,2,2,4,4,2,2,6,6,6,6,8,
8,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,1],[1,6,8,9,8,8,1,3,4,15,8,4,8,4,8,12,4,
8,12,8,1,2,3,2,2,2,3,8,8,8,8,4,8,8,4,8,4,8,2,4,6,2,8,4,2,8,8,16,4,8,1,1,2,2,1,
2,4,1,2,1,2,1,2,4,4,2,2,2,2,2,2,2,4,2,2,2,4,2,2,1,2,2,4,4,4,4,4,4,1,2,2,1,1,2,
2,1,2,1,1,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,2,12,13,4,1,6,5,1,12,6,8,16,12,
8,8,4,12,8,1,2,2,3,2,2,1,2,8,8,8,4,12,16,4,8,8,2,4,6,12,2,2,8,8,16,4,8,1,1,2,
4,2,1,2,1,1,2,1,2,4,2,2,2,2,4,2,4,2,2,2,2,4,4,3,2,4,2,2,4,4,4,4,4,1,2,2,1,1,2,
2,2,1,1,1,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,6,4,25,4,5,6,15,15,4,2,8,60,60,
8,4,8,16,1,10,20,1,2,2,15,30,60,20,8,4,4,4,8,4,16,8,2,4,8,16,2,2,8,8,1,1,15,
15,4,1,2,1,2,3,4,2,4,4,2,2,4,4,4,2,2,8,8,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,4,2,2,
2,1,1,1,2,2,1],[1,6,4,25,4,5,6,15,15,4,2,8,60,60,8,4,8,16,1,10,20,1,2,2,15,30,
60,20,8,4,4,4,8,4,16,8,2,4,8,2,2,16,8,8,1,1,15,15,4,1,2,1,2,3,2,4,4,4,2,2,4,4,
4,2,2,8,8,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,6,20,9,4,4,8,
24,16,1,2,3,15,12,8,6,16,8,24,4,12,4,16,4,8,16,1,3,4,4,8,8,2,4,2,8,8,8,16,2,3,
8,4,4,4,8,12,12,4,8,24,4,4,16,4,8,4,8,4,2,2,24,2,8,8,1,8,4,1,1,2,4,8,1,2,2,4,
1,4,4,3,2,1,4,2,2,2,4,4,8,2,2,4,8,4,4,4,1,1,2,2,1,2,1,1,1,1,2,2,4,2,2,2,1,1,1,
2,2,1],[1,6,20,9,4,4,8,24,16,1,2,3,15,12,8,6,16,8,24,4,12,4,16,4,16,8,1,3,4,4,
8,8,2,4,2,8,8,8,16,2,3,8,4,4,4,8,12,12,4,8,24,4,4,16,4,8,4,8,4,2,2,8,16,2,8,8,
1,8,4,1,1,2,4,8,1,2,2,4,1,4,4,3,4,2,1,2,2,2,4,4,8,2,2,4,8,4,4,4,1,1,2,2,1,2,1,
1,1,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,2,4,13,12,1,18,16,5,1,4,2,8,16,12,8,4,12,16,
3,12,2,2,1,2,2,1,2,8,8,4,4,8,8,24,2,8,6,2,4,2,8,16,8,1,1,1,1,2,1,4,4,2,4,6,4,
4,2,4,2,4,2,4,6,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,6,8,8,9,8,
16,1,3,15,8,12,4,8,4,12,4,4,8,16,1,3,2,2,2,2,12,3,8,8,8,4,4,8,16,8,2,4,2,2,4,
8,16,2,8,8,1,1,1,1,4,1,2,4,4,2,4,4,2,4,2,2,2,4,4,4,2,4,4,4,4,4,1,1,2,2,1,2,2,
2,2,2,4,2,2,2,1,1,1,2,2,1],[1,6,8,9,8,8,1,3,4,15,8,4,8,4,24,12,4,8,4,16,1,6,3,
2,2,2,3,8,8,8,4,12,8,8,16,2,2,4,6,8,8,16,2,8,1,1,1,1,2,4,1,4,2,2,4,4,4,4,6,2,
2,4,6,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,2,12,13,4,16,1,6,
5,1,12,6,8,16,12,8,12,4,16,1,2,2,3,2,4,8,2,1,2,8,8,4,4,8,8,8,16,2,8,2,4,6,8,2,
16,8,1,1,1,1,2,1,4,4,4,2,2,4,4,4,2,4,2,2,4,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,
4,2,2,2,1,1,1,2,2,1],[1,6,8,9,8,8,1,3,4,15,8,4,8,4,8,12,4,16,4,8,16,1,2,3,2,2,
2,3,8,8,8,8,4,8,8,4,8,4,8,2,4,2,8,2,16,8,16,2,8,4,1,1,4,4,1,2,1,1,1,2,4,2,2,2,
4,2,4,2,4,2,2,2,4,2,2,1,2,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,
1],[1,6,8,9,8,8,1,3,4,15,8,4,8,4,8,12,4,4,8,16,16,1,2,3,2,2,2,3,8,8,8,8,4,8,8,
4,8,4,8,2,4,2,2,8,24,16,2,8,4,1,1,4,4,1,2,1,1,1,2,2,4,2,2,2,4,4,2,4,2,2,2,4,2,
2,1,2,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,2,8,8,13,8,8,1,
5,1,8,4,4,8,16,12,4,4,16,8,16,2,2,2,2,2,2,1,2,8,8,4,4,4,16,16,16,8,2,2,2,4,4,
8,4,16,2,16,4,1,1,4,1,2,4,1,2,2,2,4,4,4,4,4,4,4,2,4,4,1,4,4,4,4,1,2,2,2,2,2,1,
1,2,4,4,4,1,1,1,2,2,1],[1,2,12,13,4,1,6,5,1,12,6,8,16,12,8,4,12,16,16,1,2,2,3,
2,2,1,2,8,8,8,4,12,16,4,8,8,2,8,6,8,2,2,8,16,16,4,1,1,2,4,1,4,1,1,1,2,2,2,4,2,
2,4,2,4,4,2,4,4,3,2,4,2,2,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,
2,12,13,4,1,6,5,1,12,6,8,16,12,8,4,12,16,16,1,2,2,3,2,2,1,2,8,8,8,4,12,16,4,8,
8,2,8,6,8,16,2,2,8,16,4,1,1,4,2,1,4,1,1,1,2,2,2,4,2,4,2,2,4,4,2,4,4,3,2,4,2,2,
4,4,1,2,2,1,1,2,2,1,1,1,1,4,2,2,2,2,1,1,1,2,2,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,
2,8,8,4,4,8,8,6,4,2,8,12,4,8,8,1,1,1,2,1,2,2,1,2,8,8,2,2,2,2,2,2,2,2,2,2,4,2,
1,3,2,8,4,4,8,8,2,12,8,8,8,8,1,1,2,2,2,2,2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,
1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,2,4,4,5,4,4,1,6,1,2,1,4,6,2,8,8,4,4,8,8,6,12,2,4,8,4,8,8,1,1,1,2,1,
2,2,1,2,8,8,2,2,2,2,2,2,2,2,2,2,4,2,1,3,2,8,4,4,8,8,4,2,8,8,8,8,8,1,1,2,2,2,2,
2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,4,
8,8,8,8,8,8,1,1,3,1,2,2,3,8,8,4,4,4,4,4,4,2,4,2,8,4,4,8,8,2,12,8,8,16,1,1,4,2,
2,2,2,2,1,2,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,6,4,9,4,1,6,3,15,4,2,8,4,12,8,12,8,8,8,16,1,1,3,1,2,2,
3,8,8,4,4,4,4,4,4,2,4,2,8,24,6,8,8,8,16,1,1,2,4,2,2,1,2,4,4,4,4,2,2,4,2,2,4,2,
2,2,2,2,2,2,4,2,1,1,2,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,20,7,8,4,12,8,
3,4,10,20,4,8,4,4,12,6,4,8,1,2,5,2,12,8,8,6,12,8,4,8,8,8,8,3,2,2,6,6,8,4,6,2,
4,1,1,2,1,2,2,6,2,2,2,3,2,1,6,2,4,3,2,6,2,2,2,4,1,2,6,2,4,4,1,2,2,1,2,1,3,2,1,
3,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,20,3,8,4,12,8,8,1,4,6,10,12,8,4,4,10,4,
8,8,2,1,3,2,2,12,8,8,8,16,6,4,8,4,8,8,3,2,2,2,4,4,4,2,6,8,2,4,1,1,2,1,2,2,2,4,
2,2,1,3,2,2,2,2,4,4,2,3,2,2,2,2,2,4,1,4,2,4,2,4,4,1,2,2,1,2,1,2,1,2,2,2,1,1,2,
2,2,1,2,2,1,1,1,1,1,1,1,1],[1,8,15,4,8,5,6,8,4,30,12,8,8,10,8,12,1,15,2,2,2,8,
4,8,2,12,12,12,4,16,5,2,4,4,4,8,6,4,2,4,1,1,2,1,2,4,4,2,3,4,4,1,2,2,6,2,2,1,3,
2,4,6,4,2,4,2,4,4,1,2,2,1,2,1,1,2,2,1,2,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,
12,15,8,5,12,6,30,12,8,12,6,12,8,15,3,2,2,12,4,12,2,12,12,24,3,12,4,6,2,6,4,2,
4,1,3,1,6,4,3,4,6,3,2,6,3,2,3,4,6,6,4,2,2,4,4,3,2,1,2,1,3,2,1,2,1,2,6,1,2,2,1,
1,1,1,1,1,1,1],[1,20,7,8,4,12,8,3,4,10,20,4,24,4,4,12,6,4,8,1,6,5,2,12,8,8,8,
6,12,8,24,8,8,3,2,2,6,2,4,6,2,8,4,4,1,1,2,1,1,2,2,2,2,3,2,1,2,2,6,2,2,4,3,2,6,
6,2,2,4,6,2,4,4,1,2,3,2,2,1,1,2,2,2,2,1,3,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,20,8,
3,4,12,8,16,8,1,6,10,12,12,10,12,8,8,1,3,2,2,2,12,12,8,16,8,16,6,24,4,3,6,4,4,
2,6,2,12,4,1,1,3,3,3,3,6,6,2,2,4,4,3,6,2,2,4,4,4,2,4,2,4,4,1,2,3,2,2,1,3,6,2,
2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,12,15,8,16,5,12,6,30,12,8,12,6,12,8,15,3,4,8,
2,2,4,12,2,12,12,24,16,3,4,6,2,6,4,4,8,2,4,1,1,1,2,3,3,6,3,2,4,6,6,4,3,2,4,6,
6,4,2,2,4,4,3,2,3,2,1,3,6,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,15,12,8,5,18,16,
30,12,8,18,8,12,3,12,15,2,2,2,12,12,36,4,16,9,2,4,6,4,12,2,4,1,1,3,3,9,9,2,4,
6,9,2,4,6,4,2,4,2,4,4,3,3,2,2,1,9,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,16,3,4,
4,8,8,2,1,6,6,2,8,4,4,8,4,4,6,12,8,8,1,1,4,2,2,2,4,4,4,4,8,8,6,4,8,1,6,4,2,2,
4,4,4,2,4,6,8,2,4,4,1,2,1,2,1,1,2,2,2,4,4,2,4,3,2,2,2,1,2,2,2,4,2,1,2,2,4,4,2,
4,2,4,4,1,2,2,2,1,2,2,1,2,1,2,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,16,7,4,4,8,
2,3,6,2,8,12,4,4,8,8,12,10,4,8,1,3,4,2,2,4,4,8,6,4,12,4,8,5,2,6,8,4,4,4,6,8,2,
4,4,1,1,2,2,1,3,8,2,2,2,2,4,1,3,2,6,2,2,2,3,6,2,4,6,2,4,4,2,1,2,2,1,2,2,3,1,1,
3,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,4,11,8,1,2,6,4,2,10,12,16,8,12,10,12,8,1,
1,2,4,2,2,4,4,4,4,4,8,4,2,12,4,5,4,4,4,4,6,2,6,4,8,4,2,4,1,1,2,2,1,3,4,4,4,2,
2,1,2,4,2,2,1,2,2,4,2,1,2,4,4,2,2,4,2,2,4,4,1,2,2,2,1,2,1,2,2,1,1,2,2,1,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,4,11,4,8,1,6,2,6,10,12,8,16,8,14,8,12,1,1,2,2,4,2,4,4,
4,4,8,2,12,4,4,4,4,7,2,4,4,4,4,6,4,8,4,2,4,1,1,2,2,1,1,2,2,6,4,1,4,2,2,2,4,3,
2,4,2,2,1,2,4,2,4,2,4,2,4,4,1,2,2,2,1,2,2,1,2,1,1,2,1,2,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,2,12,12,13,4,4,8,8,8,1,6,5,2,1,12,10,6,8,8,8,16,4,12,8,2,12,10,4,4,8,
1,2,1,2,1,2,2,3,2,2,2,2,1,2,2,8,8,2,2,2,2,2,2,12,8,2,2,2,4,8,2,6,2,12,4,16,8,
8,8,8,8,24,16,2,2,2,3,1,8,2,2,4,2,2,8,8,8,4,6,2,2,4,4,8,8,1,1,1,1,2,1,2,1,1,2,
2,2,1,2,1,2,1,2,6,2,2,2,2,2,2,2,1,1,2,2,4,2,2,1,2,1,2,2,2,4,1,2,1,2,1,2,2,2,2,
2,4,2,2,2,4,2,1,2,2,4,3,2,1,2,1,2,4,2,2,2,6,2,2,2,2,2,2,2,4,2,8,4,2,2,4,2,2,2,
6,4,4,2,4,2,2,4,2,4,2,8,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,1,1,2,1,2,1,2,1,1,1,1,2,
2,2,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,4,14,8,3,6,12,4,4,8,4,4,3,4,1,6,6,4,4,4,3,4,8,8,8,4,12,8,4,
8,8,6,6,8,4,4,4,4,4,1,3,1,2,2,2,2,2,1,1,2,2,1,1,2,2,8,8,2,4,12,4,2,4,4,4,4,2,
6,2,4,2,6,6,8,8,8,8,8,8,8,8,16,8,8,8,2,2,1,2,3,8,2,5,3,4,6,6,6,4,2,2,4,5,3,2,
2,8,10,1,1,1,1,2,2,1,1,1,2,1,2,1,3,1,2,2,3,4,2,2,2,2,2,2,2,1,1,2,1,1,2,2,2,2,
1,2,1,2,2,2,2,2,1,2,1,2,2,1,2,2,2,2,4,1,1,2,2,2,2,3,2,2,4,1,2,2,1,2,1,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,6,4,6,4,2,6,2,2,2,4,4,6,2,4,4,2,4,4,4,6,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,1,1,2,1,2,1,2,1,1,1,1,2,2,2,2,1,2,1,2,2,2,2,4,2,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,14,12,7,6,8,4,4,4,
12,3,4,3,4,4,4,18,3,4,8,12,4,8,8,12,8,4,10,6,4,4,4,4,4,1,1,2,2,3,2,2,3,1,2,3,
3,2,8,8,6,6,12,8,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,5,3,6,3,3,6,6,6,12,
2,2,6,3,3,2,2,12,6,1,1,1,3,3,1,3,1,3,3,3,3,6,2,2,2,2,2,2,2,1,1,2,1,1,2,2,2,2,
1,2,1,2,2,2,2,2,3,3,3,2,6,4,3,3,2,2,3,2,2,2,2,3,2,3,3,2,2,2,2,2,2,4,6,6,2,6,6,
6,12,12,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,3,3,3,1,1,1,3,6,3,3,2,2,
2,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,
20,11,8,16,16,1,2,6,20,10,16,10,12,16,8,4,10,12,8,4,1,5,4,4,8,2,4,2,2,4,4,16,
4,4,8,20,4,12,8,8,2,12,4,8,16,5,4,2,2,8,6,4,8,2,4,1,2,1,2,2,1,2,1,2,1,2,4,4,4,
2,2,8,4,8,8,3,2,5,4,4,4,2,8,2,4,2,2,4,4,2,2,2,1,2,1,2,1,1,1,2,2,1,2,2,1,2,2,2,
1,1,1,1,1,1,1,1],[1,4,16,8,3,4,8,4,8,16,8,2,1,4,6,6,12,2,8,4,16,8,4,8,16,4,4,
6,4,8,8,2,1,1,2,4,4,2,2,12,2,4,16,4,4,8,8,4,4,4,4,16,8,8,6,8,4,4,4,4,8,8,1,2,
2,2,8,4,4,2,6,8,2,4,1,2,1,2,2,1,2,4,1,2,2,1,2,2,2,4,2,2,1,2,8,2,2,8,2,2,2,4,1,
2,8,4,8,4,2,4,2,4,4,2,2,1,1,2,2,2,1,1,2,1,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,
16,7,4,16,4,8,2,3,8,6,2,8,12,4,32,16,4,8,16,12,10,4,8,1,8,3,4,4,2,2,4,8,16,4,
4,4,4,8,6,4,4,12,8,12,8,4,4,24,8,5,2,6,4,6,8,8,2,4,1,2,1,2,2,1,2,4,1,3,2,2,8,
2,3,2,6,6,8,3,2,2,2,8,4,8,8,6,2,4,4,2,2,2,1,3,2,1,1,1,3,2,2,2,1,2,2,2,1,1,1,1,
1,1,1,1],[1,4,8,11,12,8,1,18,16,2,6,8,4,16,10,12,8,16,16,8,6,8,12,3,12,1,2,2,
4,4,2,4,2,4,4,16,8,8,16,4,4,8,4,2,12,4,12,4,16,8,3,2,4,4,8,6,4,8,2,4,1,2,1,2,
2,1,2,1,2,3,2,4,2,4,2,4,8,4,8,1,3,2,4,4,2,2,8,2,4,8,2,4,2,4,4,2,2,1,2,1,2,2,1,
1,1,2,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,10,12,7,10,2,4,12,5,4,3,2,6,18,5,12,
4,6,20,8,6,6,4,4,4,4,4,4,1,1,3,6,3,1,3,5,6,6,4,6,12,10,6,6,10,6,6,4,4,4,4,4,4,
4,4,4,2,2,2,2,3,3,8,3,3,6,6,6,12,2,2,6,3,3,2,2,8,8,2,12,6,1,1,2,2,3,3,1,3,4,1,
3,1,4,3,3,3,6,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,2,1,1,2,2,2,2,1,2,1,2,2,2,2,3,5,3,
6,3,3,3,3,3,2,3,2,2,6,6,2,2,2,6,6,6,12,12,6,6,6,6,6,6,1,1,1,1,1,1,1,1,3,3,3,1,
1,1,3,6,3,3,1,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,10,8,3,10,4,2,8,4,4,5,4,1,2,2,6,6,4,5,8,8,4,
4,6,12,8,2,10,8,4,4,8,4,4,1,1,1,2,6,2,1,1,2,1,3,6,2,2,4,4,4,4,2,4,4,8,4,2,6,2,
8,2,6,6,4,4,4,4,4,4,4,4,4,4,2,2,3,2,1,8,2,5,3,4,6,6,6,4,2,2,4,5,3,2,2,8,8,2,8,
10,1,1,2,2,1,2,2,1,1,1,2,4,1,2,1,1,4,3,1,2,2,3,4,2,2,2,2,2,2,2,2,2,2,2,2,2,3,
1,2,1,1,2,2,2,2,1,2,1,2,2,2,2,1,2,3,2,2,1,2,2,2,1,1,2,2,1,2,1,2,1,2,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,6,4,6,4,2,6,2,2,2,4,4,6,2,4,4,2,4,4,4,6,1,1,1,1,1,1,1,1,1,2,
1,2,1,2,1,1,1,1,2,2,2,2,1,2,1,2,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,4,12,9,4,4,2,8,8,3,6,
3,2,9,4,10,2,8,8,4,18,8,2,12,10,8,4,8,1,1,1,2,6,1,2,2,2,9,2,2,6,2,2,2,2,4,8,2,
6,2,4,8,6,10,2,4,4,8,4,4,4,4,8,2,2,4,2,3,1,8,2,2,4,2,2,8,8,8,4,6,2,2,4,2,16,4,
8,8,1,1,4,1,2,1,2,1,1,2,4,2,2,1,4,1,2,1,2,1,2,6,2,4,2,2,2,2,2,2,2,4,2,3,3,2,2,
2,4,1,2,1,4,2,2,1,2,3,2,1,2,2,2,2,2,2,2,1,2,1,2,3,2,1,2,2,2,2,2,2,2,2,2,4,2,4,
2,8,4,2,2,4,2,2,2,6,4,4,2,4,2,2,4,2,4,2,8,2,1,1,1,2,1,1,1,1,2,1,2,1,2,1,1,1,1,
2,2,2,2,1,2,1,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,8,9,2,8,3,3,9,4,18,12,4,12,8,6,2,9,4,4,
4,8,8,6,6,6,6,2,4,4,4,6,6,48,4,8,1,12,3,12,2,3,12,1,2,2,4,2,4,4,2,1,4,4,4,4,4,
4,2,3,1,1,2,4,2,4,2,2,4,1,1,1,2,2,1],[1,6,8,9,8,2,3,3,4,9,8,4,8,18,4,8,12,8,2,
6,2,9,4,4,4,4,8,4,8,8,4,8,2,4,6,2,2,2,4,2,8,8,16,4,4,8,1,4,2,1,4,1,2,4,1,1,1,
1,1,2,1,2,2,2,4,4,2,4,2,2,2,2,2,2,2,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,15,16,24,5,30,
24,15,16,20,10,12,8,1,6,8,1,1,2,1],[1,6,9,16,24,2,3,3,9,18,24,6,9,16,8,12,10,
12,8,1,6,8,1,1,2,1],[1,3,12,4,36,1,18,16,12,12,3,12,16,1,1,8,32,4,4,1,3,3,4,4,
2,1,1,1],[1,3,9,3,4,36,1,3,3,9,1,9,9,12,12,3,3,9,16,1,8,12,12,5,4,4,4,1,3,3,4,
4,1,1,1,1,1],[1,21,9,9,1,12,3,1,27,9,27,3,9,7,3,4,36,12,9,3,9,3,9,9,9,9,4,2,1,
1,3,9,9,3,12,3,3,9,4,4,4,1,3,6,3,3,1,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,9,24,3,4,
9,1,9,12,18,9,18,12,16,1,3,30,3,6,12,3,9,12,18,9,4,1,2,1,3,3,3,6,12,3,6,3,3,9,
4,4,4,4,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,9,3,3,24,4,9,1,3,9,9,18,9,18,3,
9,3,1,16,30,3,12,6,9,3,3,9,9,9,9,4,1,2,3,1,3,6,3,3,12,6,3,3,9,4,4,4,1,3,6,3,1,
3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,9,9,21,1,12,1,3,9,27,27,3,9,3,4,7,36,9,12,9,3,
3,9,9,9,9,4,1,2,3,1,9,3,9,12,3,3,9,4,4,4,1,3,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,
1],[1,15,20,5,30,30,30,16,5,15,60,15,16,1,15,15,5,1,1],[1,20,15,5,20,10,30,20,
10,16,15,5,20,40,5,10,16,1,5,10,5,10,5,1,1],[1,6,25,5,15,15,60,60,16,10,20,15,
30,60,20,16,1,15,15,1,1,1],[1,15,1,30,5,6,10,15,10,6,10,5,5,6,10,6,5,1,1],[1,
15,1,30,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,18,45,64,6,15,45,135,180,270,
45,45,90,90,135,270,360,360,96,240,6,45,15,180,135,270,18,45,24,60,1,1],[1,6,
36,9,12,64,2,12,24,72,72,3,18,3,4,9,36,36,18,72,72,72,18,36,72,3,18,24,6,24,
36,72,72,9,18,36,18,24,36,72,72,72,18,9,36,24,72,72,48,72,72,72,144,144,32,
192,48,64,6,8,24,72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,72,3,18,18,24,4,24,
24,32,1,1],[1,15,12,64,5,18,16,30,18,3,12,15,36,9,12,32,64,48,1,1,3,3,9,9,9,3,
3,9,4,4,12,1,1],[1,18,45,16,6,15,45,135,180,270,48,45,45,90,90,135,270,360,
360,8,12,16,6,45,15,180,135,270,12,24,24,18,45,1,8,12,1,3,1],[1,6,36,9,12,16,
2,12,24,72,72,3,18,3,4,9,36,36,18,72,72,72,18,36,72,48,3,18,24,6,24,36,72,72,
9,18,36,18,24,36,72,72,72,18,9,36,24,72,72,48,72,72,72,144,144,8,12,16,6,8,24,
72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,72,12,24,24,3,18,18,24,1,8,12,1,3,
1],[1,18,45,16,6,15,45,135,180,270,48,45,45,90,90,135,270,360,360,8,12,16,6,
45,15,180,135,270,12,24,24,18,45,1,8,12,1,3,1],[1,6,36,9,12,16,2,12,24,72,72,
3,18,3,4,9,36,36,18,72,72,72,18,36,72,48,3,18,24,6,24,36,72,72,9,18,36,18,24,
36,72,72,72,18,9,36,24,72,72,48,72,72,72,144,144,4,12,4,16,6,8,24,72,72,1,6,9,
12,9,18,36,36,36,36,144,18,36,72,12,12,12,24,3,18,18,24,1,4,12,4,1,3,1],[1,15,
12,16,5,18,16,30,18,48,3,12,15,36,9,12,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,
1],[1,15,12,16,5,18,16,30,18,48,3,12,15,36,9,12,20,16,1,1,3,3,9,9,9,12,3,3,9,
1,4,1,3,1],[1,4,12,8,3,16,4,12,16,1,6,6,12,12,6,12,16,32,1,3,2,12,12,12,24,3,
6,12,16,4,16,1,1,3,3,3,3,6,6,3,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,15,12,16,5,18,
16,30,18,48,3,12,15,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[
1,12,15,16,16,5,12,6,30,12,6,48,15,3,4,8,12,24,3,6,4,8,4,4,16,1,1,1,2,3,3,6,3,
6,3,6,4,8,12,8,4,3,3,3,6,4,4,4,8,1,1],[1,6,12,9,12,16,2,24,3,18,16,3,9,12,6,
24,24,18,24,12,48,3,12,6,6,24,3,6,6,8,6,9,8,24,24,24,12,12,24,6,12,8,12,16,1,
1,3,3,12,12,3,6,6,6,12,6,12,12,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,6,25,8,16,5,15,4,
15,60,24,60,12,16,32,10,6,20,15,30,8,60,20,12,24,12,6,12,8,12,16,1,1,15,15,3,
6,6,6,6,12,12,4,8,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,10,8,21,16,2,16,3,9,39,12,36,
66,12,16,32,3,7,2,14,6,12,15,30,32,48,24,12,12,6,12,8,12,16,1,3,1,12,3,12,3,6,
6,6,12,6,12,4,8,8,8,1,3,6,2,3,1,4,1,1,2,1],[1,4,6,8,3,6,12,16,2,16,3,1,2,6,6,
6,12,3,24,12,24,6,12,24,24,6,6,16,32,3,1,2,6,6,8,6,12,3,6,6,6,24,8,24,24,24,
12,12,6,6,6,6,3,3,12,8,4,8,16,1,3,1,12,3,12,3,3,3,6,3,3,12,3,3,12,4,8,8,8,1,3,
3,3,1,1,3,1,4,1,1,1,1,1],[1,6,12,24,9,4,16,2,24,24,24,3,6,3,9,12,12,6,24,24,
24,18,24,12,24,32,16,1,6,6,24,3,6,6,6,8,6,6,24,6,9,8,24,24,24,12,12,12,12,24,
48,24,6,6,12,24,6,8,12,16,3,1,3,3,12,12,3,6,6,12,6,12,6,6,6,6,12,24,6,6,12,24,
8,16,4,8,8,1,3,6,6,6,12,3,6,1,4,8,3,2,1,1],[1,6,12,25,12,16,5,18,15,15,12,6,
24,60,60,24,12,24,16,16,16,3,10,20,3,6,6,15,30,60,20,24,12,12,12,24,12,48,24,
6,12,6,6,24,8,12,16,1,3,15,15,3,6,3,6,9,6,12,6,6,12,12,12,6,6,24,24,12,4,8,4,
8,8,1,3,6,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,6,24,25,16,24,5,15,15,24,12,24,
60,60,24,12,32,16,10,6,20,6,6,15,30,60,20,24,12,12,12,24,12,72,6,6,6,12,24,8,
12,16,1,3,15,15,3,6,9,6,3,6,12,6,12,24,12,24,6,6,18,8,16,4,8,8,1,3,6,6,6,6,6,
6,3,1,4,8,3,2,1,1],[1,6,25,24,16,5,15,12,15,60,72,60,36,32,16,10,18,20,15,30,
24,60,20,36,72,36,18,36,8,12,16,1,3,15,15,9,18,18,18,18,36,36,8,16,4,8,8,1,9,
6,18,9,1,4,8,3,2,1,1],[1,10,24,21,16,2,48,3,9,39,36,36,66,12,24,32,16,3,7,6,
14,6,36,15,30,32,48,24,12,12,24,72,6,12,36,8,12,16,3,3,1,12,3,12,3,6,6,12,6,
12,6,12,36,6,12,36,8,16,4,8,8,1,3,6,6,6,12,3,6,1,4,8,3,2,1,1],[1,18,16,3,6,12,
16,2,12,36,3,1,2,6,6,12,9,48,12,24,6,12,24,24,6,6,12,12,16,16,16,3,1,12,6,8,6,
3,9,24,3,6,6,6,24,8,24,24,24,6,6,6,6,6,6,6,6,12,12,12,12,24,24,6,3,3,6,6,6,24,
8,4,8,16,3,3,1,12,3,12,3,6,3,3,6,6,6,6,6,6,3,3,6,6,6,24,6,3,3,6,6,6,24,4,4,8,
8,4,8,8,1,3,6,3,3,3,3,6,6,3,6,1,4,8,3,1,1,1,1],[1,4,18,24,3,6,16,1,3,6,18,24,
24,24,3,1,3,6,9,12,3,18,24,12,24,3,9,12,12,12,12,32,16,4,1,4,3,6,6,3,3,6,3,6,
3,6,6,12,12,6,24,3,6,6,8,6,6,12,24,12,12,12,24,24,12,24,12,12,12,6,6,6,12,12,
12,4,12,4,16,1,3,3,6,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,12,6,6,12,12,6,6,12,6,6,12,
12,8,8,8,4,4,4,8,1,3,3,3,6,6,6,6,3,3,3,1,4,4,4,3,2,1,1],[1,6,12,9,4,24,16,2,
24,3,6,3,12,9,12,6,24,24,24,24,18,24,24,12,24,32,16,1,6,6,6,24,6,3,6,6,8,6,9,
6,24,8,24,24,24,12,12,12,24,24,24,12,24,12,6,6,6,24,8,12,16,1,3,3,12,3,12,6,3,
3,6,6,12,3,6,6,6,6,24,6,6,6,6,6,12,24,8,16,4,8,8,1,6,3,6,6,6,6,3,6,1,4,8,3,2,
1,1],[1,6,12,12,9,4,12,16,2,24,3,6,3,6,9,12,18,6,24,24,24,12,18,24,24,6,18,12,
16,16,16,1,3,6,3,6,6,24,3,6,6,8,6,9,6,24,8,24,24,24,6,6,6,6,18,6,18,6,24,12,
12,24,6,9,3,6,6,24,8,12,16,3,1,3,3,12,12,6,3,9,6,6,6,6,3,3,3,9,3,6,6,6,6,24,6,
6,6,24,4,12,8,4,8,8,1,3,6,6,3,3,3,6,3,6,3,1,4,8,3,1,1,1,1],[1,10,12,21,12,16,
2,3,18,9,39,12,6,24,36,66,24,24,12,16,16,16,3,3,7,14,6,3,6,6,15,30,32,48,24,
24,12,12,24,12,12,24,24,6,6,6,12,24,8,12,16,3,1,12,3,3,12,3,6,6,12,9,3,6,6,6,
6,12,12,6,6,6,24,24,12,4,8,4,8,8,1,3,6,3,3,3,6,6,3,3,6,1,4,8,3,1,1,1,1],[1,6,
16,3,18,12,16,2,9,12,1,2,6,6,12,3,24,36,12,24,6,12,48,24,6,6,12,12,16,16,16,3,
3,1,6,6,8,6,9,3,6,12,6,24,8,24,24,24,24,6,6,12,6,6,6,6,6,6,12,12,12,24,24,6,6,
6,3,3,6,24,8,4,8,16,3,1,12,3,3,12,3,6,6,6,6,3,6,3,6,6,6,3,3,6,6,3,3,6,6,6,6,
24,24,4,8,4,8,4,8,8,1,3,6,3,3,3,6,6,3,3,6,1,4,8,3,1,1,1,1],[1,10,24,21,16,2,
24,3,9,39,24,12,24,36,66,12,24,32,16,3,7,6,14,6,6,6,15,30,32,48,24,12,12,36,
24,36,24,6,12,6,6,24,8,12,16,3,1,12,3,3,12,3,6,12,6,3,9,6,6,6,6,12,24,24,6,18,
6,8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,10,21,16,2,3,9,39,36,66,16,
16,3,7,14,6,15,30,32,48,24,8,12,16,3,1,12,3,12,4,12,12,4,8,8,1,6,1,4,1,1,1],[
1,6,25,16,5,15,15,60,60,4,12,16,10,20,15,30,60,20,6,6,12,8,12,16,1,15,15,1,3,
6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,6,12,9,4,16,2,24,3,6,3,9,12,6,24,24,18,24,
16,16,1,6,6,24,3,6,6,8,6,9,8,24,24,24,24,8,12,16,1,3,3,12,12,4,12,12,4,8,8,1,
6,1,4,1,1,1],[1,24,7,12,16,12,8,6,3,6,6,24,12,4,12,24,18,24,16,16,16,1,3,12,2,
6,12,12,24,6,12,12,12,24,9,12,6,2,8,4,16,3,12,3,6,6,3,6,6,12,6,4,8,4,8,4,8,8,
6,3,1,3,6,4,8,3,1,1],[1,18,7,18,16,6,4,9,4,3,6,18,9,4,18,36,6,12,12,12,16,16,
16,1,1,18,1,9,18,6,12,6,6,12,12,12,12,12,6,3,3,6,3,6,2,4,4,4,16,3,3,6,3,6,6,3,
3,3,3,6,6,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,36,7,16,12,36,
8,3,18,36,4,12,6,24,32,16,1,9,2,36,24,24,6,12,24,3,6,12,6,2,8,4,16,3,6,3,6,12,
3,6,6,12,6,8,8,8,4,8,8,3,6,1,3,6,8,4,3,1,1],[1,30,7,6,16,12,12,4,3,4,3,12,12,
3,12,24,4,12,18,12,12,32,16,1,1,6,6,1,6,3,24,6,6,6,24,24,24,9,3,6,3,6,2,4,4,4,
16,3,3,3,3,6,6,6,3,3,6,6,3,6,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,6,
7,6,24,16,4,3,4,3,12,3,4,24,24,12,24,6,12,12,12,32,16,1,1,6,6,1,3,6,24,6,6,6,
24,24,24,6,6,3,3,6,3,2,4,4,4,16,3,3,6,3,6,3,6,3,3,6,3,6,6,6,8,8,8,4,4,4,8,3,3,
3,1,3,3,3,4,4,4,3,1,1],[1,6,12,9,12,16,16,1,18,16,3,15,12,6,24,4,12,24,12,48,
3,12,1,3,3,6,4,8,6,3,8,24,12,12,12,12,24,6,6,12,6,12,8,4,4,4,16,1,1,1,3,3,3,3,
2,6,6,6,12,12,6,12,6,12,12,24,24,12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,
6,24,9,16,24,32,1,3,15,24,12,24,4,12,12,48,1,3,6,6,8,6,16,3,8,24,24,24,24,6,6,
6,24,8,8,4,16,2,1,3,6,3,2,6,6,12,24,6,12,24,24,24,4,8,16,8,8,6,3,4,12,6,8,4,8,
1,1,1],[1,6,12,7,6,8,16,4,12,3,4,3,4,18,3,24,12,4,24,12,24,6,6,16,32,1,1,6,3,
6,3,1,3,8,3,6,8,24,8,6,6,6,6,12,12,6,6,6,6,3,3,12,3,3,6,6,3,3,2,6,4,4,4,16,1,
1,3,1,3,3,3,2,3,3,12,6,3,3,6,6,3,3,6,3,3,12,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,
8,8,8,3,3,3,1,3,3,3,6,6,4,4,4,8,1,1,1],[1,10,21,16,2,3,9,39,36,66,24,24,16,3,
7,14,6,15,30,32,48,12,24,36,8,12,16,3,1,12,3,12,6,6,6,6,24,6,6,24,4,8,8,1,3,3,
12,1,4,8,3,1,1],[1,4,18,3,6,16,1,3,6,18,24,3,1,3,6,9,3,18,24,12,3,9,12,12,12,
12,12,16,4,1,4,3,6,6,3,3,3,6,3,12,12,6,3,6,6,8,6,6,12,24,12,6,6,6,6,6,12,12,6,
12,4,12,4,16,1,3,3,6,3,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,
3,3,3,3,1,4,4,4,3,1,1],[1,6,25,16,5,15,15,60,60,12,36,16,10,20,15,30,60,20,18,
18,36,8,12,16,1,15,15,3,9,18,18,18,18,4,8,8,1,9,9,1,4,8,3,1,1],[1,6,12,9,4,16,
2,24,3,6,3,9,12,6,24,24,18,24,24,24,16,1,6,6,24,3,6,6,8,6,9,8,24,24,24,12,12,
24,24,8,12,16,1,3,3,12,12,6,6,6,24,6,6,24,6,4,8,8,1,3,12,3,1,8,4,3,1,1],[1,12,
7,16,8,3,6,12,4,4,12,6,16,1,3,2,6,12,3,6,6,6,2,8,4,16,1,6,3,6,3,6,6,4,8,8,1,3,
3,4,1,1,1],[1,6,7,6,16,4,3,4,3,3,4,12,12,6,12,12,12,16,1,1,1,3,6,6,6,6,6,6,3,
6,3,6,3,6,2,4,4,4,16,3,6,6,6,3,3,6,3,6,6,3,3,3,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,
3,1,1],[1,12,7,24,16,8,3,12,6,12,4,24,6,12,32,16,1,6,3,2,6,12,24,12,24,3,6,6,
2,12,8,4,16,3,3,6,6,3,6,6,6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,12,7,16,8,3,
6,12,4,12,6,12,16,1,3,2,6,12,3,6,6,6,2,12,12,8,4,16,3,3,6,6,3,6,6,6,12,12,4,8,
8,1,3,3,6,6,4,8,3,1,1],[1,12,7,8,16,8,3,4,6,12,4,24,12,6,16,32,1,6,3,2,8,6,12,
24,3,6,6,2,8,4,16,1,3,6,3,6,6,6,4,8,8,8,3,1,3,4,1,1,1],[1,6,12,7,6,16,4,12,3,
4,3,18,3,12,4,12,4,6,6,16,1,1,3,3,1,3,3,6,6,12,6,6,6,6,6,6,3,3,6,3,3,6,6,6,12,
6,3,3,2,12,6,4,4,4,16,1,3,3,1,3,1,3,3,3,3,6,3,3,3,6,3,3,3,3,3,3,6,6,2,6,6,6,
12,12,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,6,3,3,6,4,4,4,8,1,1,1],[1,6,16,9,12,16,2,
12,3,18,3,9,12,24,18,18,12,12,16,16,16,3,1,6,6,3,9,18,6,6,6,18,12,12,12,12,3,
3,6,6,6,9,6,6,8,12,16,1,3,9,3,6,3,6,3,6,9,6,6,6,6,6,12,4,8,4,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,4,18,3,18,16,2,12,9,12,1,2,6,6,9,24,6,12,18,12,12,16,16,16,3,
1,6,6,3,3,6,6,12,6,12,12,18,12,12,12,3,6,9,6,9,6,6,8,4,8,16,1,3,3,6,3,6,3,6,3,
6,3,6,6,6,6,12,4,8,4,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,16,3,18,16,2,12,9,
12,1,2,6,12,3,24,6,12,6,6,6,12,12,16,16,16,3,1,6,6,3,3,6,6,12,6,6,6,12,6,12,
12,12,12,3,3,6,6,6,6,3,6,6,8,4,8,16,1,3,3,6,3,6,3,6,3,6,3,6,6,6,6,6,6,4,8,4,8,
4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,12,16,9,16,2,12,24,3,3,9,12,12,6,18,6,12,
12,12,16,16,16,1,6,3,3,6,9,6,6,6,6,12,6,12,12,12,12,12,6,3,6,3,6,6,6,3,6,8,12,
16,1,6,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,8,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[
1,4,6,24,3,6,16,2,24,12,3,1,2,6,6,12,3,12,6,12,6,12,12,12,32,16,1,6,3,6,3,3,6,
12,6,12,6,6,6,6,12,12,12,12,6,3,3,6,6,6,6,3,6,8,4,8,16,1,6,3,3,6,3,3,3,3,6,6,
6,6,6,6,6,6,8,8,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,16,3,6,16,2,12,24,3,1,
2,6,12,9,12,6,12,6,6,6,12,12,16,16,16,1,6,3,3,6,3,6,6,6,12,12,6,6,6,12,12,12,
12,6,3,3,6,6,6,6,3,6,8,4,8,16,1,6,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,8,8,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,4,36,3,16,4,12,24,24,1,6,18,12,18,24,32,16,1,3,6,
6,12,24,24,24,18,12,3,12,6,18,6,16,4,16,1,3,6,12,3,6,6,12,12,6,12,8,16,4,1,6,
3,6,3,1,4,3,2,1,1],[1,15,4,24,16,5,6,30,36,24,6,36,32,16,1,15,6,6,6,36,36,12,
12,3,6,18,12,6,20,16,1,3,18,3,6,18,12,6,12,24,4,1,6,3,3,6,1,4,3,2,1,1],[1,6,
24,9,4,16,2,12,3,6,3,9,24,24,18,6,24,12,32,16,1,3,6,6,3,9,6,6,18,6,6,24,12,12,
12,9,3,6,6,6,3,6,6,8,12,16,1,9,3,3,6,9,6,3,6,3,6,6,6,6,6,16,8,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,6,12,9,4,12,16,2,12,3,6,3,6,9,6,12,18,24,6,6,6,12,12,16,16,
16,1,3,6,3,9,6,6,6,6,6,6,6,6,6,6,12,12,12,12,6,3,6,3,6,6,3,6,6,8,12,16,1,3,3,
6,6,3,3,6,3,6,3,6,6,6,6,6,6,4,4,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,12,
16,16,5,18,30,24,24,18,24,16,16,16,3,15,6,4,6,24,24,36,12,9,6,12,12,6,8,12,16,
1,9,12,9,6,12,12,6,12,12,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,12,15,16,16,5,12,6,
30,24,24,12,6,24,16,16,16,15,3,6,4,12,12,6,24,24,24,3,6,6,12,12,6,8,12,16,1,3,
6,12,3,6,12,6,12,12,6,4,8,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,7,12,24,16,1,18,
16,6,36,24,6,24,12,32,16,3,12,1,6,6,6,12,12,12,12,48,3,6,12,6,12,6,4,16,16,1,
3,6,12,3,6,12,6,12,6,12,8,16,4,1,6,3,3,6,1,4,3,2,1,1],[1,15,4,16,5,6,30,6,24,
16,1,15,12,3,12,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,7,12,16,1,18,16,6,6,
24,16,3,12,1,12,3,12,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,4,12,3,16,4,
12,1,6,6,12,6,24,16,1,3,12,12,3,12,12,16,4,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,
6,9,16,2,3,3,9,18,12,12,48,6,9,6,6,6,6,6,6,48,4,16,1,12,3,12,3,12,12,3,4,4,1,
1,1],[1,4,3,16,1,3,3,6,12,6,12,16,1,3,6,6,3,12,12,12,4,16,3,3,3,6,6,6,4,1,3,3,
4,3,1,1],[1,6,9,16,1,3,15,4,12,12,12,48,1,3,3,8,6,6,24,8,8,4,16,1,6,2,2,6,6,6,
3,3,4,8,8,8,3,6,6,4,8,8,1,1],[1,12,7,24,16,1,12,6,6,36,24,6,12,32,16,1,3,6,6,
12,12,12,6,12,12,3,6,6,12,6,12,4,16,1,3,6,3,12,6,12,6,6,12,12,8,4,1,3,3,6,6,1,
4,3,1,2,1],[1,12,7,16,1,12,6,6,6,24,24,16,1,3,12,12,3,12,12,4,16,1,6,6,3,3,4,
1,3,3,1,4,3,1,1],[1,12,15,16,5,12,6,30,12,6,48,15,3,12,12,24,3,12,6,4,16,1,3,
1,6,3,6,3,3,3,6,12,3,1,2,3,6,4,1,1,1,2,1],[1,4,24,3,16,1,24,3,12,3,6,6,12,32,
16,1,6,12,12,12,3,6,3,12,12,4,16,3,3,6,3,6,6,8,4,1,3,3,4,3,1,1],[1,18,6,3,18,
14,4,1,18,16,3,1,9,3,18,18,12,12,6,24,18,18,24,12,1,3,12,12,6,12,4,8,12,8,3,
12,3,9,3,9,3,12,6,6,6,6,6,18,8,1,3,12,3,3,6,36,6,6,12,6,6,6,6,24,6,6,12,3,6,3,
3,18,6,6,12,1,4,4,12,8,12,4,8,4,4,1,1,3,3,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,18,
3,3,18,3,3,6,3,3,3,3,6,6,12,6,6,12,1,3,2,3,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,1,3,3,2,1,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,6,18,3,14,18,4,1,18,16,
1,3,3,9,6,6,12,36,6,24,6,6,48,12,3,9,4,12,6,12,12,20,3,12,3,3,9,3,9,12,6,6,6,
6,2,6,24,3,9,4,9,9,18,12,6,6,12,6,6,6,6,24,6,6,12,3,6,9,9,6,6,6,12,1,4,4,20,
12,12,4,4,1,3,1,3,3,1,3,3,3,3,3,3,3,3,3,6,3,3,9,9,6,9,9,6,3,3,6,3,3,3,3,6,6,
12,6,6,12,1,3,2,3,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,3,2,1,2,
1,1,4,3,1,1,1,1,1,1,1,1],[1,6,18,9,6,20,4,12,1,3,3,10,15,6,3,12,24,4,36,24,12,
24,24,10,6,6,12,12,4,8,12,8,1,9,3,3,12,6,3,3,6,8,24,8,6,6,6,6,4,24,6,6,12,6,6,
6,12,12,12,6,6,6,24,12,3,6,3,9,12,12,12,1,4,4,12,8,12,4,8,4,4,1,1,3,3,1,3,3,3,
3,3,3,3,3,3,6,3,3,3,6,3,3,3,12,9,3,6,12,3,3,3,3,3,12,12,12,12,1,1,2,2,1,2,2,4,
4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,2,1,2,2,2,1,1,4,3,1,1,1,1,1,
1,1,1],[1,6,18,20,9,6,4,1,24,28,24,3,1,12,6,18,3,24,12,24,6,15,12,6,6,6,16,4,
12,8,12,8,1,2,3,6,3,6,3,6,15,6,24,3,2,6,6,6,12,3,3,6,3,6,6,12,3,6,10,36,6,6,6,
6,12,30,3,3,6,6,12,12,3,12,1,4,4,12,4,8,12,8,4,4,1,3,1,3,1,3,3,3,3,3,3,3,3,3,
3,9,3,3,6,3,3,9,6,6,3,3,6,9,12,6,3,6,3,6,9,12,6,1,1,2,2,1,2,2,4,4,4,4,4,4,4,3,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,2,1,1,2,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,30,
6,3,6,14,4,3,6,18,16,12,1,1,12,6,3,6,12,18,24,6,12,3,18,12,24,1,3,6,12,12,12,
4,8,12,8,3,3,6,6,3,4,8,3,3,6,8,3,6,6,6,12,6,6,12,1,3,3,6,3,6,12,12,24,6,6,6,6,
6,6,12,6,24,12,3,3,6,6,12,12,3,6,6,1,4,4,12,8,12,4,8,4,4,1,1,3,3,3,3,3,1,3,3,
3,3,3,3,3,3,6,3,3,3,3,3,6,12,6,6,3,3,6,3,12,6,3,3,6,3,12,12,6,1,2,1,2,1,2,2,4,
4,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,2,1,2,1,2,2,1,1,4,3,1,1,1,1,1,
1,1,1],[1,18,9,18,1,6,6,27,27,9,6,6,6,18,6,18,18,9,18,27,2,2,9,9,18,18,9,2,2,
6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,45,15,10,1,15,15,45,5,45,45,6,10,30,30,15,
15,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,3,45,15,10,1,5,30,45,
15,15,45,15,6,10,30,30,5,15,15,10,30,6,18,18,5,10,30,30,5,6,18,18,5,10,10,6,5,
1,1,2,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,1,15,20,15,10,5,10,30,15,30,15,
30,6,10,10,20,10,20,5,15,30,30,15,6,6,6,5,10,10,20,10,20,15,6,12,10,5,10,6,5,
1,1,2,1],[1,1,15,20,15,10,10,30,5,15,15,30,30,6,10,10,20,10,20,5,15,30,30,15,
6,6,6,5,10,10,20,10,20,15,6,12,10,5,10,6,5,1,1,2,1],[1,1,15,15,10,5,15,15,10,
30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,1,15,15,10,
5,15,15,30,10,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,
3,15,5,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,3,3,6,6,5,4,1,3,3,5,1,4,
3,1,1],[1,18,36,45,12,6,12,24,72,72,15,18,45,4,135,36,36,18,72,72,72,180,270,
36,72,36,36,3,45,45,18,24,90,24,36,72,72,90,9,18,36,18,24,36,72,72,72,18,135,
36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,36,36,72,72,72,72,144,18,18,
18,18,18,18,144,6,6,8,24,72,72,45,15,6,180,9,12,9,18,36,36,36,36,144,135,270,
18,36,72,36,9,36,9,36,18,36,18,18,18,36,18,36,18,18,18,36,18,18,18,18,18,36,
36,36,144,36,144,18,18,36,18,36,36,36,144,144,18,45,3,18,18,24,36,9,9,9,9,36,
36,72,36,6,6,18,18,36,36,36,6,6,18,18,18,18,18,18,18,18,18,36,18,18,36,18,18,
36,36,18,36,9,24,1,1,18,18,18,18,18,18,18,18,6,9,9,9,3,3,9,1],[1,18,36,45,12,
6,72,48,15,18,16,45,135,36,18,72,72,180,270,72,36,36,3,12,45,45,18,90,72,90,9,
18,12,18,24,24,18,135,270,360,360,24,72,72,72,36,36,36,36,72,72,72,72,72,72,
144,18,18,18,18,36,18,36,18,72,144,24,24,6,1,3,45,15,180,9,9,36,135,270,36,36,
9,9,18,9,36,9,36,6,6,6,18,36,36,18,36,18,18,18,36,18,18,36,18,18,18,18,18,36,
36,36,36,72,144,36,144,18,36,18,36,18,36,18,18,36,36,36,144,36,72,144,72,72,
72,72,18,45,3,36,9,18,9,9,9,9,36,36,72,9,36,6,6,18,18,36,6,18,18,18,18,18,18,
36,18,36,6,18,9,18,9,18,36,18,36,9,12,36,12,12,36,36,18,18,18,18,18,18,36,18,
18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,1,2,6,3,3,3,9,18,18,18,18,
6,6,18,9,9,9,9,9,9,18,18,18,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,3,6,
18,9,9,18,1],[1,10,36,8,21,12,24,2,12,24,72,72,16,3,18,9,4,12,39,36,36,12,18,
72,72,72,48,36,72,48,66,36,72,48,48,12,12,12,12,24,3,3,18,7,18,2,12,24,14,24,
36,16,72,72,6,12,9,18,36,18,24,36,12,72,72,72,18,15,36,12,30,12,48,24,32,16,
48,48,48,48,24,72,72,48,72,72,72,144,144,12,12,12,36,12,12,24,24,12,12,12,12,
12,12,24,48,24,24,24,24,48,24,48,24,24,24,48,48,48,6,12,6,12,6,6,18,24,6,12,
12,24,6,12,6,12,24,48,48,48,48,24,24,3,1,6,8,24,72,72,3,6,1,6,12,24,9,12,9,18,
36,36,36,36,144,3,6,12,24,18,36,72,3,6,12,12,12,3,6,3,6,12,24,3,6,6,12,12,24,
6,6,6,6,12,12,12,12,12,12,12,6,6,6,12,12,12,6,6,12,12,6,12,12,12,12,6,12,6,6,
6,12,12,12,6,6,18,24,6,12,6,6,6,6,12,6,12,12,12,12,12,24,12,24,12,24,48,48,48,
6,18,6,24,12,12,12,48,48,48,6,12,6,12,12,12,12,6,12,6,12,12,12,12,24,48,12,24,
12,24,48,48,48,12,24,24,48,48,48,48,24,24,24,24,24,24,24,48,24,48,1,2,3,18,18,
24,3,6,12,12,12,3,6,3,6,3,6,3,6,12,24,12,12,12,24,24,24,3,6,6,12,12,24,6,6,6,
12,12,12,12,12,12,2,2,2,2,4,6,6,6,6,6,6,6,6,12,6,12,6,6,6,6,12,6,12,12,12,12,
6,6,6,6,6,12,3,6,6,12,12,12,12,3,6,6,12,6,6,6,12,12,12,3,6,12,12,12,12,12,12,
24,12,24,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,6,12,6,12,6,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,2,6,3,3,1,2,6,6,6,6,12,6,12,
3,6,6,6,6,6,6,6,12,3,6,3,6,3,6,3,6,3,6,3,6,6,6,6,6,12,6,6,6,6,12,6,12,6,12,12,
12,12,6,12,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,1,2,6,12,6,3,6,3,6,6,6,6,1],[1,18,12,45,4,6,24,15,6,45,135,12,6,
24,24,180,270,24,12,16,12,48,1,45,45,6,90,24,90,3,6,6,8,6,135,270,360,360,8,
24,24,24,12,12,12,12,24,24,24,24,48,6,6,6,6,24,48,6,24,6,48,6,45,15,180,3,3,
12,135,270,12,12,12,4,3,12,3,12,6,12,6,6,12,12,24,6,12,12,12,24,6,6,6,6,6,12,
12,12,48,12,48,6,6,12,6,12,12,12,48,48,18,45,1,12,3,3,3,3,12,12,24,12,2,2,6,6,
12,6,6,6,12,6,6,6,6,12,6,12,12,3,12,12,24,12,12,24,1,1,3,6,6,6,6,6,6,6,6,3,3,
1,3,3,1],[1,10,36,21,12,2,12,24,72,72,3,18,9,4,39,36,36,18,72,72,72,36,66,36,
72,12,12,48,16,3,3,7,18,24,14,24,36,72,72,6,9,18,36,18,24,36,72,72,72,18,15,
36,30,32,48,24,72,72,48,72,72,72,144,144,12,12,12,12,24,24,24,24,48,6,24,6,6,
6,24,6,6,48,48,6,8,24,72,72,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,
12,4,3,12,3,12,12,6,12,12,12,6,12,6,12,6,12,24,24,6,6,6,6,6,12,12,12,48,12,48,
6,6,12,6,12,12,12,48,48,1,3,18,18,24,12,3,3,3,3,12,12,24,12,12,12,2,2,6,6,6,6,
6,6,6,6,12,6,6,12,12,3,12,24,12,24,12,12,1,1,3,6,6,6,6,6,6,6,6,3,3,1,3,3,1],[
1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,4,16,16,4,32,16,16,1,3,7,6,14,
24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,2,16,2,2,8,2,16,8,24,
16,2,24,2,32,16,3,1,12,3,3,12,3,12,12,4,4,4,4,4,1,4,1,8,4,4,12,4,4,16,8,4,4,8,
16,8,12,4,8,16,16,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,
4,8,4,2,2,8,6,2,4,4,8,1,4,4,8,4,8,4,4,4,4,4,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1],[
1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,4,4,16,16,16,32,16,1,3,7,6,14,
24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,2,8,2,8,2,2,8,16,24,
16,32,2,2,16,16,16,3,1,12,3,3,12,3,12,12,4,4,8,4,4,1,4,1,4,4,8,4,12,16,4,12,
16,4,4,8,4,16,4,16,8,8,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,
1,1,4,4,8,4,6,4,2,8,2,2,8,4,1,4,4,8,4,4,4,4,4,8,4,2,1,1,2,2,2,1,1,2,2,2,1,1,1,
1,1],[1,10,20,24,21,12,8,2,24,48,16,48,3,18,16,9,4,39,20,36,10,40,24,48,48,36,
24,66,40,48,4,20,20,12,8,16,3,12,3,6,7,6,6,12,14,24,6,5,10,12,4,6,8,8,36,12,
32,48,10,15,12,30,8,32,48,48,8,40,32,24,24,4,20,12,12,12,12,40,24,12,20,12,24,
24,20,20,12,40,24,16,32,16,16,16,8,8,16,16,8,24,16,32,48,2,4,6,6,10,6,24,6,12,
12,12,20,24,24,24,24,16,10,12,12,20,2,8,8,32,16,8,24,24,1,1,3,4,1,6,3,6,1,12,
5,4,3,12,3,12,12,1,6,4,4,5,6,12,4,3,6,12,4,5,4,2,3,6,12,4,4,12,12,1,2,8,2,12,
6,8,6,12,24,4,8,4,4,4,4,4,4,4,8,4,8,6,6,4,4,8,2,4,6,4,4,4,4,8,2,4,4,2,4,6,4,8,
6,8,8,6,6,6,24,2,10,6,6,24,6,12,12,12,2,4,12,12,12,24,24,4,12,12,20,24,24,4,8,
24,16,16,10,6,6,24,4,4,16,10,12,20,12,10,20,12,12,2,4,6,12,24,8,16,4,4,6,4,4,
8,8,8,16,32,12,12,12,24,24,8,20,12,12,24,24,24,16,8,32,8,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,1,1,6,4,3,12,6,2,1,1,3,6,12,
1,4,4,4,8,5,6,12,4,5,4,4,12,12,4,2,8,2,2,2,6,4,4,4,2,2,2,2,2,4,4,8,6,2,2,4,2,
2,4,4,2,4,2,4,4,8,8,4,4,4,3,2,4,4,3,2,2,1,1,2,2,2,4,4,1,4,12,12,12,12,12,24,
24,12,12,12,24,24,12,12,12,24,24,2,2,2,6,12,24,12,12,12,24,24,6,12,12,12,6,6,
6,24,2,2,4,4,4,2,2,4,2,2,2,2,4,4,4,4,8,24,24,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,
8,4,4,4,4,4,4,4,4,4,8,8,8,4,4,4,4,4,4,8,8,4,4,4,1,6,3,4,3,6,12,1,2,2,1,1,1,2,
2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,2,2,4,4,4,4,4,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,8,4,4,4,4,8,4,4,4,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,4,4,1],[1,6,24,24,9,16,16,2,4,12,8,48,16,48,1,20,16,3,2,8,15,16,10,36,8,20,
32,16,64,48,4,32,24,12,14,40,64,24,8,16,12,8,4,8,8,8,8,3,12,1,8,3,2,6,16,4,4,
6,8,8,12,6,3,6,6,12,4,8,2,36,12,4,4,4,32,48,8,3,10,16,6,24,8,8,24,8,64,24,4,
16,28,32,4,8,4,16,16,4,12,12,8,20,12,12,24,32,16,12,16,24,24,16,12,16,24,24,
24,8,8,16,16,8,8,16,16,8,4,4,8,8,8,8,4,4,8,16,8,16,8,16,8,8,16,16,2,4,2,4,8,6,
8,24,6,12,12,12,12,24,24,32,4,4,8,8,16,6,12,12,12,12,2,8,8,16,8,8,16,8,24,24,
1,1,3,4,1,6,1,8,1,12,3,4,2,1,2,2,2,8,3,12,2,2,8,1,6,2,2,4,3,8,12,4,3,6,12,2,2,
3,4,2,2,3,6,12,4,4,12,12,1,2,4,4,2,12,6,8,6,12,24,4,4,4,2,4,2,2,2,4,4,2,2,4,4,
4,4,4,4,3,3,2,4,2,2,2,2,4,4,2,4,6,2,4,2,2,2,4,4,4,1,1,2,4,2,2,4,2,4,2,2,4,4,2,
4,4,4,4,4,6,6,6,24,2,6,8,8,24,6,12,12,12,2,4,12,12,12,24,24,4,12,12,12,24,32,
4,8,4,4,16,8,16,8,6,8,8,24,2,2,4,8,8,6,12,12,12,12,6,12,12,12,12,2,2,2,6,12,
24,4,4,8,8,4,2,2,2,4,4,2,2,8,4,4,4,4,16,8,8,16,12,12,12,24,24,8,12,12,12,24,
32,4,4,8,8,16,8,8,8,16,8,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,1,1,1,6,2,2,3,12,6,2,1,1,3,6,12,1,4,2,4,2,4,4,3,8,12,4,3,2,
4,4,12,12,2,2,2,4,4,2,2,2,3,3,2,2,4,2,2,2,1,1,2,1,1,1,1,2,2,2,2,4,4,2,4,2,2,2,
2,1,1,2,2,4,2,1,1,4,2,2,2,4,4,4,4,4,4,2,2,4,3,2,4,2,2,1,2,2,1,1,1,1,2,2,1,1,4,
2,2,1,4,12,12,12,12,12,24,24,12,12,12,24,24,12,12,12,24,24,2,1,1,2,6,12,24,12,
12,12,24,24,6,12,12,12,6,6,6,24,2,2,4,2,2,2,2,1,1,1,1,2,2,2,2,2,2,4,2,2,4,4,8,
24,24,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,2,2,2,
2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,4,2,4,4,4,4,4,4,2,2,1,6,3,4,3,6,
12,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,
1,2,1,1,2,2,2,2,2,2,2,2,2,4,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,2,2,1,1,2,4,4,2,2,2,2,4,4,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,1],[1,10,20,21,12,2,24,16,3,18,16,9,39,20,10,
40,24,36,66,40,36,28,32,3,12,3,7,6,14,24,6,5,10,4,6,8,8,10,15,30,32,48,8,40,
24,24,20,12,12,20,40,16,16,8,16,24,32,10,14,14,14,12,16,32,18,20,10,8,96,8,1,
1,3,1,12,5,3,12,3,12,12,20,3,8,5,2,7,20,5,24,2,4,8,4,8,16,4,4,10,8,8,4,8,4,16,
4,6,12,6,8,6,8,16,6,2,6,6,2,12,4,12,4,8,16,4,16,10,20,10,20,2,4,4,6,4,8,8,32,
12,8,32,24,24,1,1,4,3,2,1,1,3,1,4,4,8,5,8,2,2,2,4,2,6,2,2,4,2,8,4,4,8,3,2,4,1,
6,4,8,12,4,8,8,5,4,12,2,6,2,2,4,2,2,4,8,4,8,8,8,4,8,8,8,8,4,4,4,8,4,4,4,2,1,1,
1,2,2,1,2,2,4,4,2,2,1,1,1,2,2,4,4,2,4,4,4,4,1,2,2,1,1,1],[1,10,28,21,4,2,40,
32,3,6,9,39,28,14,24,40,36,66,24,28,16,36,16,1,3,7,10,14,24,6,7,6,8,10,8,16,6,
15,30,32,48,8,24,40,24,4,12,12,4,16,32,40,24,32,8,32,14,18,10,10,8,8,16,14,24,
14,32,96,8,2,3,1,12,3,5,12,3,12,12,20,2,4,4,8,5,20,7,24,2,2,2,4,8,4,16,8,4,6,
12,8,4,4,8,4,8,4,10,12,4,12,4,4,12,8,2,6,2,6,6,4,4,8,12,32,32,4,32,4,2,6,4,10,
2,4,16,8,16,8,32,16,24,24,1,1,4,2,8,1,3,1,1,8,4,8,4,4,4,2,6,4,4,4,8,2,2,4,8,6,
4,2,2,6,4,8,8,4,12,4,5,4,12,2,6,2,4,2,4,2,2,8,8,4,8,8,8,4,8,8,4,8,4,4,8,4,4,4,
1,1,1,2,2,2,1,4,2,4,2,2,2,1,2,2,2,4,4,2,4,4,4,4,1,2,2,1,1,1],[1,10,12,8,21,4,
8,2,24,16,3,6,9,4,39,12,12,6,24,24,16,36,24,66,24,16,4,20,12,20,40,1,3,6,7,6,
2,4,14,24,6,3,6,6,8,12,6,15,4,30,8,32,48,16,8,24,24,24,4,4,4,12,4,4,24,8,4,12,
4,4,12,4,8,16,8,8,8,16,8,8,16,16,10,20,10,10,6,6,8,10,4,12,8,10,4,10,40,80,16,
8,1,1,3,2,1,12,3,3,12,3,12,12,1,2,20,4,3,2,5,2,20,5,10,20,2,4,4,4,4,4,8,4,4,6,
4,4,8,10,4,4,6,4,8,4,4,4,4,10,4,4,4,8,16,16,2,2,6,8,2,6,2,2,2,4,2,4,4,4,4,4,
12,8,4,16,16,6,6,2,8,4,4,16,2,4,2,4,4,2,4,4,8,4,4,16,16,12,8,8,16,8,8,8,8,8,8,
1,1,1,2,4,1,1,1,2,1,4,4,4,8,3,2,2,4,6,4,2,2,2,2,4,2,2,4,4,2,4,3,4,4,8,5,2,4,4,
2,8,8,4,8,8,5,4,4,8,2,2,2,2,2,2,4,2,2,4,8,8,8,8,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,
4,2,1,1,2,1,2,1,2,4,4,2,2,2,1,1,1,2,2,4,4,2,4,4,4,4,1,2,2,1,1,1],[1,10,12,21,
4,16,2,24,3,6,9,8,39,12,6,24,24,36,48,16,66,24,16,8,20,20,32,16,1,3,12,7,6,14,
24,6,4,3,6,6,8,6,15,30,4,16,32,16,48,8,24,24,24,8,4,24,4,4,4,8,8,8,16,8,16,8,
32,16,8,8,16,16,10,16,10,4,10,12,10,24,10,10,4,32,16,16,80,8,2,3,1,12,3,3,12,
3,2,12,12,2,20,4,4,5,20,5,2,8,4,20,2,2,2,4,4,4,4,8,4,4,2,4,8,4,12,8,4,4,4,8,8,
4,12,2,4,8,4,8,4,8,8,8,2,12,2,4,2,2,2,4,4,4,16,12,4,4,16,16,2,2,4,4,4,4,2,8,2,
4,4,4,8,16,16,4,4,16,16,16,16,16,8,16,8,16,1,1,2,4,4,1,2,1,1,1,4,4,8,4,4,4,2,
4,4,4,4,4,8,2,4,2,2,4,6,8,4,4,4,2,4,8,4,8,4,8,4,5,4,8,4,2,2,4,2,2,4,4,2,2,8,4,
8,8,4,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,1,4,2,2,4,2,2,1,2,2,2,4,4,2,4,
4,4,4,1,2,2,1,1,1],[1,10,44,21,20,2,12,24,72,72,16,3,30,16,9,4,39,44,36,22,72,
88,72,36,66,36,88,28,16,20,16,5,12,3,7,18,24,14,24,36,72,72,6,11,22,36,4,18,
24,8,36,72,72,72,22,15,36,30,32,48,24,72,88,48,72,72,72,144,144,28,16,20,20,
28,40,48,16,32,32,16,24,32,40,64,16,6,10,10,10,12,8,16,14,20,24,6,8,64,8,1,6,
8,24,72,72,1,3,1,6,12,11,12,9,18,36,36,36,36,144,3,12,18,36,72,12,3,4,5,4,2,5,
12,3,16,2,4,8,4,4,8,6,6,12,24,12,4,16,6,12,6,8,8,6,2,4,6,12,24,4,16,6,8,8,8,
10,6,10,10,6,20,12,12,12,8,48,12,48,10,20,24,14,20,24,6,12,8,16,4,10,12,16,16,
64,12,8,8,16,64,24,24,1,3,18,18,24,12,3,2,3,3,5,3,12,12,24,5,4,4,16,2,12,2,2,
12,4,12,2,2,2,6,6,6,6,4,8,6,12,24,2,2,6,6,4,2,4,8,8,16,8,4,6,12,3,6,12,2,2,8,
1,2,6,12,4,4,4,3,4,12,2,6,2,2,4,2,2,4,4,4,4,4,8,4,4,8,8,4,4,4,8,4,4,4,1,1,6,1,
4,2,1,6,6,6,1,6,1,2,4,6,2,1,2,2,2,2,3,3,1,1,2,4,4,4,4,2,2,2,2,4,4,4,4,1,1,1,1,
1,1,1,2,2,2,2,1],[1,6,36,12,9,20,12,2,12,24,72,72,8,8,3,30,16,3,4,6,9,36,36,
10,18,72,72,72,24,24,12,24,18,36,72,40,24,6,12,10,16,8,12,8,8,5,12,3,18,1,6,
24,6,24,36,8,72,72,6,9,18,36,6,18,24,36,2,2,72,72,72,8,18,9,36,10,6,24,8,24,
24,24,24,72,72,16,48,72,72,72,144,144,6,12,10,16,6,6,4,4,6,6,4,4,12,10,10,24,
12,48,8,8,16,16,8,24,16,12,12,24,8,12,12,16,24,24,16,8,8,6,6,4,3,3,4,2,6,2,4,
4,4,4,4,8,8,6,10,6,12,24,6,8,24,24,16,4,4,1,6,8,24,72,72,1,3,1,6,12,9,2,12,9,
18,36,36,36,36,144,3,12,18,36,72,6,6,1,2,2,2,3,2,4,2,3,2,12,3,4,12,2,4,4,4,4,
4,4,4,3,3,6,12,24,6,6,2,2,8,8,6,6,6,6,8,4,4,3,3,2,4,6,12,24,2,2,8,8,2,4,4,4,4,
4,8,3,3,4,6,3,3,4,6,2,2,6,6,6,4,4,12,2,2,4,4,12,8,24,24,6,6,24,24,6,6,12,6,24,
6,12,10,6,24,6,6,6,4,4,8,8,4,6,4,6,6,12,4,4,12,24,24,16,2,2,4,4,8,4,4,8,8,24,
24,16,4,4,4,4,4,4,4,4,4,4,4,4,1,3,18,18,24,6,6,2,1,2,3,3,3,2,3,12,6,6,12,12,3,
4,2,2,2,4,12,2,12,2,2,6,6,4,6,6,2,1,1,2,3,3,3,3,6,6,2,2,8,6,12,24,2,2,3,3,6,4,
2,2,2,8,4,4,8,8,4,4,4,6,6,6,3,6,12,2,1,1,4,4,1,2,3,3,6,6,4,2,2,4,3,2,2,2,2,4,
4,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
6,1,4,1,1,1,3,3,6,6,1,6,1,1,1,4,3,3,2,1,1,1,1,1,1,1,1,1,3,3,1,1,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,18,12,16,45,4,6,
24,32,16,15,6,45,135,12,24,6,24,24,16,180,270,24,12,24,12,32,1,45,45,6,4,90,
24,90,3,6,4,6,8,24,4,16,6,135,270,360,360,8,24,24,24,12,12,48,12,24,8,8,12,24,
8,32,32,24,24,24,24,48,96,6,6,6,12,6,4,24,8,8,48,16,6,4,6,48,8,6,2,2,45,15,
180,3,3,12,135,270,12,12,6,8,2,4,3,12,4,3,12,2,4,4,8,6,12,6,12,6,24,48,12,24,
48,6,12,4,8,8,6,6,12,6,6,4,6,12,8,12,4,24,12,48,48,12,12,48,4,6,6,12,2,8,8,16,
6,12,12,12,48,4,4,8,24,8,48,16,48,8,8,8,8,8,8,18,45,1,12,2,3,3,3,3,12,12,24,6,
8,4,4,12,2,2,6,6,12,12,24,4,24,48,4,6,6,6,12,6,4,4,8,4,6,12,24,2,6,12,6,12,4,
3,4,4,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,4,1,2,12,1,2,12,2,6,6,6,6,
1,1,1,2,2,2,3,3,2,2,4,4,4,4,2,2,2,2,8,8,2,1,1,2,1,2,2,2,2,1],[1,10,36,16,21,
12,2,12,24,72,72,32,16,3,18,9,4,39,36,36,24,18,72,72,72,16,36,66,36,72,12,8,
12,16,16,16,3,3,7,18,4,24,14,24,36,72,72,6,9,18,36,4,18,24,36,24,4,72,72,72,
16,18,15,36,30,32,48,24,72,72,48,72,72,72,144,144,12,12,16,12,8,8,8,12,8,8,16,
16,32,32,24,16,32,24,24,16,24,48,16,48,6,6,8,6,4,6,4,8,8,8,8,24,16,16,6,4,6,
16,48,8,2,6,8,24,72,72,2,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,12,
2,4,2,4,4,4,3,12,4,3,12,2,4,4,8,8,6,12,4,4,8,16,16,6,12,6,4,16,8,8,6,4,4,4,8,
16,16,4,8,8,8,16,6,6,4,6,6,4,6,12,8,12,4,8,12,16,24,48,4,12,48,4,6,6,12,2,8,8,
8,16,16,8,6,12,12,8,12,48,4,4,8,16,8,8,8,24,16,16,48,8,8,8,8,8,8,1,3,18,18,24,
12,2,4,3,3,3,3,12,12,24,2,4,4,4,4,12,4,12,4,12,2,2,6,6,6,6,4,4,8,16,4,4,6,6,4,
4,4,16,8,8,16,16,8,4,6,2,4,12,4,2,2,8,8,2,6,12,4,4,8,3,4,4,4,4,2,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,4,8,8,8,8,4,1,2,8,2,2,1,6,2,6,6,2,2,2,8,6,1,2,1,1,2,2,3,3,2,
2,4,4,4,4,2,2,2,2,8,8,2,1,1,2,1,2,2,2,2,1],[1,6,44,12,9,12,12,2,12,24,72,72,8,
16,24,3,18,3,4,6,9,44,36,10,22,72,72,72,40,8,12,24,18,36,72,24,24,6,4,10,8,8,
12,8,16,8,3,3,18,1,10,24,6,24,36,8,72,72,6,11,18,36,2,4,18,24,8,36,2,6,72,72,
72,16,8,18,9,36,6,6,24,8,24,24,24,24,72,72,48,72,72,72,144,144,6,6,6,10,4,4,4,
4,6,10,12,4,10,6,8,4,8,8,16,16,16,32,8,16,8,24,16,12,12,8,24,8,12,12,24,24,16,
8,8,16,16,6,4,6,4,3,3,4,6,4,10,2,4,4,4,4,8,4,8,8,16,16,2,6,2,6,8,8,24,24,4,4,
6,2,8,24,72,72,1,1,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,6,6,2,4,1,
1,4,2,2,2,2,3,12,2,2,3,12,2,4,4,4,4,4,4,3,3,6,6,4,2,2,4,4,8,8,16,6,6,6,6,8,4,
8,8,4,4,3,3,2,2,2,4,2,4,4,16,8,8,2,2,4,4,4,8,4,8,8,3,3,6,3,3,4,2,6,2,6,10,6,4,
12,2,4,2,4,8,12,8,4,4,16,24,24,4,6,6,24,24,2,2,6,6,6,6,6,4,4,8,4,16,8,8,4,4,6,
6,6,4,12,4,12,24,24,2,6,4,4,8,8,6,2,4,4,8,4,4,8,8,16,16,24,24,4,4,4,4,4,4,4,4,
4,4,4,4,1,3,18,18,24,6,6,1,1,2,2,3,3,3,3,12,6,6,12,12,2,4,2,2,2,4,2,12,2,2,6,
6,2,2,6,6,1,1,2,3,3,3,3,6,6,2,2,4,4,4,8,8,2,2,2,2,3,3,6,2,4,2,4,8,8,4,8,4,8,
16,8,4,4,4,6,2,4,6,6,2,2,2,1,1,4,8,4,1,1,3,3,6,6,2,4,2,4,4,3,2,2,4,2,2,4,2,2,
2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,4,4,
2,1,1,1,3,3,2,6,6,1,1,1,2,1,4,4,3,3,1,1,1,1,1,1,1,1,1,3,3,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,52,21,12,2,12,24,
72,88,32,3,18,9,4,39,52,36,26,72,72,88,36,66,36,72,20,28,32,3,3,7,22,24,14,24,
36,72,72,6,13,18,36,8,22,24,16,36,72,72,72,18,15,36,30,32,48,24,72,72,48,88,
72,72,144,144,12,20,20,12,16,32,64,48,40,40,48,24,64,32,10,14,6,6,8,16,32,10,
10,32,64,8,6,8,24,72,72,2,3,1,6,12,9,12,11,18,36,36,36,36,144,3,12,18,36,72,
12,2,8,8,3,12,5,16,2,2,2,4,8,8,4,6,2,12,8,32,6,12,6,16,16,6,6,4,4,8,32,4,12,
16,16,6,10,6,10,10,12,12,8,20,32,64,12,64,4,6,10,12,16,32,10,6,12,24,16,48,8,
32,16,32,48,24,24,1,3,18,18,24,12,2,8,3,5,3,3,16,12,24,8,12,4,12,4,12,2,2,6,6,
6,6,8,16,2,6,4,6,6,4,4,8,16,16,32,8,2,2,6,12,4,4,16,2,2,6,12,4,8,8,3,4,12,2,6,
2,4,2,4,2,2,4,8,4,8,8,8,4,8,4,4,8,4,4,4,1,2,8,4,1,6,6,6,2,4,8,2,6,1,2,2,4,3,3,
2,2,4,4,4,4,2,4,2,4,4,4,4,2,1,1,2,1,2,2,4,1],[1,18,12,45,4,16,6,24,15,6,45,8,
135,12,6,24,24,180,48,16,270,24,16,8,12,12,48,1,45,12,45,6,90,24,90,4,3,6,6,8,
6,135,270,4,16,360,16,360,8,24,24,24,8,12,24,12,12,12,24,8,24,48,24,16,8,96,
48,24,8,16,48,6,24,6,4,6,12,6,6,6,4,48,16,16,48,8,6,2,45,15,180,3,3,12,135,2,
270,12,2,12,4,3,12,3,2,12,4,12,2,2,2,4,4,4,6,12,6,2,6,4,12,4,4,24,2,12,4,24,6,
12,48,48,6,12,6,4,6,6,6,12,12,12,48,12,12,4,16,48,6,6,4,4,12,4,2,24,6,4,4,12,
24,48,16,12,12,48,48,16,48,16,8,16,8,16,18,45,1,2,4,12,3,2,3,3,3,12,12,24,12,
4,12,2,2,6,6,2,4,12,4,12,4,4,24,2,12,6,6,6,12,6,16,48,2,2,6,12,6,2,4,12,6,12,
24,3,4,8,4,2,2,4,2,2,4,4,2,2,8,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,1,6,8,1,6,8,6,
2,6,6,6,1,2,4,2,3,3,2,2,4,4,4,4,2,4,2,4,4,4,4,2,1,1,2,1,2,2,4,1],[1,18,12,8,
45,4,8,6,24,16,15,6,45,4,135,12,12,6,24,24,16,180,24,270,24,16,4,12,12,12,24,
16,1,45,6,45,6,2,4,90,24,90,3,6,6,8,12,6,135,4,270,8,360,360,16,8,24,24,24,4,
12,4,12,4,12,24,8,12,12,4,12,12,4,16,24,16,24,24,24,48,24,24,16,48,48,6,12,6,
6,6,6,8,6,4,12,8,24,6,4,6,24,48,16,8,6,1,1,45,2,15,180,3,3,12,135,270,12,1,2,
12,4,3,2,4,3,2,12,3,6,12,2,4,4,4,4,6,12,6,6,6,4,12,24,6,4,6,12,4,4,12,24,6,4,
12,6,12,24,24,2,6,6,8,6,6,6,2,6,4,6,4,4,12,4,12,12,8,12,24,16,48,6,6,2,8,4,12,
48,6,4,6,12,12,6,12,12,24,12,12,16,48,12,8,24,24,48,8,8,8,8,8,8,18,45,1,1,2,
12,3,3,3,2,3,12,4,12,24,3,2,4,6,12,2,2,6,6,6,4,12,12,2,2,2,2,4,12,24,6,2,4,12,
6,6,6,6,12,6,8,24,4,3,6,12,4,3,6,6,2,12,6,12,12,3,4,4,8,2,2,2,2,2,2,4,2,2,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,6,3,4,1,1,2,6,3,4,6,6,6,6,1,2,2,2,2,3,
3,1,1,2,4,4,4,4,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,10,36,21,12,2,12,
24,72,72,3,18,9,4,39,36,36,18,72,72,72,36,66,36,72,12,16,12,16,3,3,7,18,24,14,
24,36,72,72,6,9,18,36,18,24,36,72,72,72,18,15,36,30,32,48,24,72,72,48,72,72,
72,144,144,12,12,12,12,24,24,24,24,48,6,6,6,8,6,16,24,6,6,48,16,6,8,24,72,72,
3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,12,4,4,3,12,3,12,6,4,12,4,16,
6,4,12,6,4,16,6,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,8,8,8,1,3,
18,18,24,12,3,3,3,3,12,12,24,12,12,12,2,2,6,6,6,6,6,6,2,6,2,8,12,6,12,3,4,4,4,
4,4,4,4,4,4,8,1,2,6,6,6,6,1,1,2,3,3,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,18,12,45,4,
6,24,15,6,45,135,12,6,24,24,180,270,24,12,12,16,16,1,45,45,6,90,24,90,3,6,6,8,
6,135,270,360,360,8,24,24,24,12,12,12,12,24,24,24,24,48,6,6,8,6,6,8,16,6,6,16,
48,16,6,45,15,180,3,3,12,135,270,12,12,4,4,3,12,3,12,6,12,6,6,4,16,6,4,12,4,
16,4,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,8,8,8,18,45,1,12,3,3,
3,3,12,12,24,12,2,2,6,6,12,6,6,6,12,6,2,8,2,6,12,6,12,3,4,4,4,4,4,4,4,4,4,8,1,
2,6,6,6,6,1,1,2,3,3,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,10,20,21,12,2,24,16,3,18,16,
9,39,20,10,40,24,36,66,40,20,12,32,3,12,3,7,6,14,24,6,5,10,4,6,8,8,10,15,30,
32,48,8,40,24,24,20,12,12,20,40,16,16,8,16,24,32,2,16,6,6,6,12,10,20,2,8,32,
32,8,16,1,1,3,1,12,5,3,12,3,12,12,4,3,5,2,3,4,1,8,8,2,4,8,4,4,8,6,8,8,2,4,6,6,
8,16,16,6,2,6,6,2,12,4,12,4,8,16,4,16,10,20,10,20,2,4,4,6,4,8,8,32,12,8,32,24,
24,8,8,8,1,1,4,3,2,1,1,3,1,4,4,8,5,8,2,2,2,4,2,6,2,2,4,2,8,4,3,2,1,4,2,4,8,1,
4,12,2,6,2,2,4,2,2,4,8,4,4,8,8,4,4,4,4,4,4,4,8,4,4,4,4,8,2,1,1,1,2,1,2,2,1,1,
1,2,2,2,4,4,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,10,12,8,21,4,8,2,24,16,3,6,9,4,
39,12,12,6,24,24,16,36,24,66,24,16,4,4,12,4,8,32,1,3,6,7,6,2,4,14,24,6,3,6,6,
8,12,6,15,4,30,8,32,48,16,8,24,24,24,4,4,4,12,4,4,24,8,4,12,4,4,12,4,8,16,8,8,
8,16,8,8,16,16,2,4,2,2,6,6,8,2,4,12,8,16,32,2,4,2,8,16,16,8,16,1,1,3,2,1,12,3,
3,12,3,12,12,1,2,4,4,3,2,8,1,2,4,1,2,4,2,4,4,4,4,6,4,8,2,4,6,4,4,4,16,2,4,4,8,
16,2,2,6,8,2,6,2,2,2,4,2,4,4,4,4,4,12,8,4,16,16,6,6,2,8,4,4,16,2,4,2,4,4,2,4,
4,8,4,4,16,16,12,8,8,16,8,8,8,8,8,8,8,8,8,1,1,1,2,4,1,1,1,2,1,4,4,4,8,3,2,2,4,
6,4,2,2,2,2,4,2,2,4,4,2,4,3,4,4,1,2,2,8,1,4,4,8,2,2,2,2,2,2,4,2,2,4,4,4,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,2,1,1,2,1,1,2,2,1,1,1,2,2,2,4,4,2,2,2,4,4,4,4,
4,4,1,1,1,2,2,1],[1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,20,16,20,16,
16,16,1,3,7,6,14,24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,10,
10,8,10,8,10,16,8,24,16,10,10,16,80,3,1,12,3,3,12,3,12,12,20,4,4,4,4,5,20,5,
20,4,8,4,4,4,4,8,4,4,16,16,4,4,8,4,4,16,4,4,4,8,4,16,4,2,2,2,2,2,4,4,4,16,4,
16,2,2,4,2,4,4,4,16,16,1,1,4,1,1,1,1,4,4,8,4,2,4,2,8,8,2,8,2,4,4,8,8,4,8,5,8,
4,4,4,4,4,4,4,4,2,2,2,1,1,2,1,1,2,2,2,1,1,1,1,1],[1,10,12,8,21,4,8,2,24,16,3,
6,9,4,39,12,12,6,24,24,16,36,24,66,24,16,4,4,12,16,4,16,8,16,16,1,3,6,7,6,2,4,
14,24,6,3,6,6,8,12,6,15,4,30,8,32,48,16,8,24,24,24,4,4,4,12,4,4,24,8,4,12,4,4,
12,4,8,16,8,8,8,16,8,8,16,16,2,4,2,8,2,6,6,8,2,4,12,8,8,8,16,16,32,2,4,24,2,
16,8,16,16,32,8,1,1,3,2,1,12,3,3,12,3,12,12,1,2,4,4,3,2,8,4,4,4,4,1,2,4,1,2,4,
8,2,8,8,4,4,4,8,8,4,8,6,12,4,4,4,16,2,4,6,4,4,4,8,8,2,4,4,4,12,4,4,16,4,8,2,2,
6,8,2,6,2,2,2,4,2,4,4,4,4,4,12,8,4,16,16,6,6,2,8,4,4,16,2,4,2,4,4,2,4,4,8,4,4,
16,16,12,8,8,16,8,8,8,8,8,8,1,1,1,2,4,1,1,1,2,1,4,4,4,8,3,2,2,4,6,4,2,2,2,2,4,
2,2,4,4,2,4,3,4,4,6,2,2,8,2,1,2,4,2,4,1,4,4,8,4,2,4,2,2,2,2,2,4,2,2,4,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,8,8,4,1,1,2,1,1,2,1,2,1,2,2,2,4,1,1,2,
2,2,4,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,6,16,8,9,8,16,2,
4,12,8,16,1,8,3,2,8,15,8,10,12,4,20,16,16,32,4,32,24,12,14,24,32,24,8,16,4,8,
12,8,8,16,8,8,1,1,8,3,2,2,8,4,4,6,8,8,12,6,1,2,6,2,12,4,4,4,4,3,10,8,6,24,8,8,
24,8,32,24,4,16,12,4,8,4,16,16,4,4,4,20,4,4,8,16,8,4,8,8,4,8,8,16,8,4,4,8,8,8,
4,4,8,8,16,8,2,4,4,2,4,4,2,8,8,2,4,4,16,4,4,24,8,16,8,16,6,4,8,12,2,8,8,8,16,
24,8,16,8,1,1,1,4,1,12,1,2,1,2,2,2,8,3,12,2,2,8,1,2,2,2,4,1,4,4,4,2,4,2,2,2,2,
2,1,2,4,1,2,4,4,4,2,4,4,4,4,2,4,2,2,2,4,4,4,4,2,2,4,4,3,3,2,2,8,2,2,2,2,4,8,8,
2,4,6,2,4,2,2,2,4,4,8,1,1,2,4,2,2,2,2,2,8,4,2,2,8,8,2,2,8,2,2,6,8,2,2,4,4,2,4,
2,4,4,4,4,4,4,16,4,8,16,8,2,8,4,8,2,2,4,8,8,2,4,2,2,2,2,2,2,4,2,2,8,4,4,16,8,
8,4,16,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,1,1,1,2,1,4,2,4,2,4,4,1,4,2,4,3,3,2,2,1,
1,2,1,1,1,1,2,2,1,1,2,2,4,2,1,1,2,2,3,2,2,2,2,1,1,4,1,2,1,4,4,1,1,1,2,2,2,1,1,
4,1,4,4,8,2,2,1,1,2,2,2,2,2,1,1,1,1,2,2,2,2,2,2,4,2,2,4,2,2,4,2,2,4,4,4,4,2,2,
4,2,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,2,2,2,2,2,4,2,8,4,4,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,20,21,12,2,24,16,3,18,16,
9,39,20,10,40,24,36,66,40,20,16,12,16,32,3,12,3,7,6,14,24,6,5,10,4,6,8,8,10,
15,30,32,48,8,40,24,24,20,12,12,20,40,16,16,8,16,24,32,2,8,6,6,8,6,12,16,48,
32,10,20,2,8,16,32,32,8,1,1,3,1,12,5,3,12,3,12,12,4,8,4,8,3,8,5,2,3,4,1,4,8,2,
4,8,8,8,8,8,4,4,8,4,6,16,16,4,4,8,16,16,4,2,4,6,8,6,8,8,8,6,2,6,6,2,12,4,12,4,
8,16,4,16,10,20,10,20,2,4,4,6,4,8,8,32,12,8,32,24,24,1,1,4,3,2,1,1,3,1,4,4,8,
5,8,2,2,2,4,2,6,2,2,4,2,8,4,2,8,8,3,2,4,1,2,2,4,4,4,1,4,12,2,4,4,6,2,2,4,2,2,
4,8,4,8,8,8,8,4,8,8,4,4,4,8,4,4,8,8,16,4,1,2,1,1,1,1,2,1,2,2,1,1,4,4,4,4,2,1,
1,1,2,2,2,2,2,2,2,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,10,28,8,21,4,8,2,40,16,32,
3,6,9,4,39,28,12,14,24,40,16,36,24,66,24,16,4,12,28,20,8,16,1,3,6,7,10,2,4,14,
24,6,7,6,8,10,8,16,12,6,15,4,30,8,32,48,16,8,24,40,24,4,4,4,12,4,12,24,8,12,
12,4,4,12,4,16,32,32,40,16,24,8,32,16,8,8,48,32,6,4,10,2,14,6,8,2,8,4,28,8,24,
6,4,6,32,8,32,16,8,8,1,1,2,3,2,1,12,3,5,12,3,12,12,1,2,4,4,7,2,4,2,8,1,2,4,3,
2,8,2,2,2,2,4,4,4,12,4,8,8,8,4,10,2,4,4,16,2,4,10,4,4,12,4,16,2,12,4,6,4,4,8,
4,12,8,2,2,6,8,6,6,2,2,6,4,6,4,4,4,4,4,8,12,8,12,32,16,32,6,6,2,8,12,4,32,4,2,
4,6,4,8,10,4,2,4,4,8,16,8,16,16,8,32,12,8,8,16,8,8,8,8,8,8,24,24,1,1,1,2,4,2,
8,1,3,1,2,1,8,4,4,8,3,2,2,4,4,6,4,4,2,2,2,6,4,2,6,4,2,6,4,4,2,4,4,4,4,8,2,2,4,
5,2,8,4,4,2,1,2,2,2,4,1,4,4,4,8,12,2,2,6,2,2,2,2,4,4,6,2,4,2,6,2,4,4,2,2,4,4,
12,8,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,12,8,8,4,4,4,4,4,4,4,4,2,1,1,1,2,2,1,2,
1,1,1,3,2,2,2,2,1,1,3,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,
2,1,1,1,1,1,2,2,2,1],[1,10,28,16,21,4,2,40,32,32,16,3,6,9,39,28,24,14,24,40,
16,36,66,24,12,8,20,16,32,1,3,7,10,4,14,24,6,7,6,4,8,10,8,16,24,4,16,6,15,30,
32,48,8,24,40,24,4,12,16,12,8,8,8,4,8,16,8,16,64,32,40,32,24,32,8,32,48,6,8,
10,2,4,2,4,8,8,8,8,48,16,6,4,6,32,16,32,8,8,2,2,2,3,1,12,3,5,12,3,12,12,4,2,8,
2,2,4,8,1,4,4,3,4,8,2,2,2,2,4,4,4,8,8,16,8,4,2,8,16,8,4,8,16,8,4,6,4,4,4,16,4,
12,16,8,8,2,6,4,2,6,4,6,8,4,8,4,4,8,8,12,32,24,32,4,4,32,4,4,2,6,4,2,8,16,16,
10,2,4,16,8,16,4,4,8,8,32,8,8,24,16,16,8,8,8,8,24,8,8,24,1,1,4,2,2,8,1,3,1,1,
8,4,8,2,4,4,4,4,4,4,4,4,4,4,8,2,6,4,4,4,4,8,8,8,8,2,2,4,8,4,4,2,2,2,2,4,4,4,1,
4,4,4,12,4,4,2,2,2,4,6,2,4,4,8,4,2,4,8,4,2,2,4,4,4,16,4,4,4,8,4,8,4,8,4,8,4,8,
4,16,8,8,4,4,8,8,4,4,1,1,1,1,2,2,2,2,1,1,2,2,2,2,4,1,2,2,2,2,4,4,8,4,4,4,8,2,
2,2,2,2,2,4,4,8,4,4,8,2,2,1,1,1,2,2,2,2,1],[1,10,12,16,21,4,16,2,24,32,16,3,6,
9,8,39,12,24,6,24,24,16,36,48,16,66,24,16,8,4,8,16,4,16,16,16,1,3,12,7,6,4,14,
24,6,4,3,6,4,6,8,24,4,16,6,15,30,4,16,32,16,48,8,24,24,24,8,4,24,4,16,4,8,8,8,
4,8,8,16,32,8,8,8,16,8,16,8,32,16,8,8,16,16,32,48,32,2,8,2,4,2,4,12,2,4,8,8,8,
8,24,16,16,2,4,24,2,4,16,16,16,16,8,8,2,2,2,3,1,12,3,3,12,3,2,12,12,2,4,4,2,4,
2,4,4,4,1,4,4,1,2,4,4,4,2,2,2,8,2,4,4,4,4,4,8,8,8,2,12,4,4,4,8,8,4,4,4,8,4,8,
8,2,4,4,8,12,4,4,8,8,8,8,8,2,12,2,4,4,2,2,4,2,4,8,4,4,8,4,8,24,16,4,12,4,4,16,
16,4,2,2,4,4,4,4,2,8,8,16,2,8,2,4,4,4,8,16,16,4,4,8,16,4,4,8,8,8,24,16,16,16,
16,16,8,8,8,8,8,8,8,16,8,16,1,1,2,4,4,2,1,2,1,1,1,4,4,8,2,4,4,4,4,4,4,4,2,4,4,
4,4,4,8,4,4,4,4,4,4,8,2,4,4,4,8,2,2,4,2,4,6,2,2,2,4,2,4,4,4,1,4,4,4,8,4,4,4,2,
2,2,4,2,4,4,4,4,4,4,4,2,2,4,4,4,2,2,4,4,4,4,8,8,8,4,4,4,8,8,8,4,4,4,4,4,4,4,4,
8,8,4,4,4,4,8,8,4,4,1,1,1,1,2,2,2,2,1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,4,4,8,4,4,8,
2,2,2,2,2,2,4,4,8,4,4,8,2,2,1,1,1,2,2,2,2,1],[1,2,24,12,13,8,20,2,4,12,8,8,16,
24,1,8,5,2,10,1,16,10,10,8,20,16,16,40,8,16,52,32,12,14,24,24,32,2,16,10,8,8,
12,8,8,16,1,2,13,2,1,10,4,4,6,8,8,12,2,8,3,2,6,2,4,8,2,2,6,4,4,4,16,8,4,1,10,
6,2,8,24,16,8,8,32,24,24,4,16,12,4,8,4,16,16,2,4,6,2,10,8,12,12,4,2,6,12,4,6,
2,8,4,8,8,16,16,8,12,12,8,8,16,16,24,8,12,12,16,8,24,16,8,8,16,32,16,4,6,2,4,
2,3,1,12,6,4,6,2,4,4,4,8,4,4,16,8,8,16,6,2,2,8,12,2,4,8,24,8,8,16,4,4,8,2,2,1,
1,3,1,12,1,2,1,2,2,2,8,1,4,12,2,2,8,2,2,4,2,2,4,1,1,2,2,4,2,2,1,4,2,2,1,2,2,6,
4,2,2,2,4,4,2,2,2,4,4,4,2,2,4,8,4,4,4,1,1,2,2,8,2,2,2,4,2,4,8,4,2,4,2,2,2,4,4,
4,8,4,4,2,3,1,6,4,2,2,2,8,2,2,4,4,8,4,4,4,4,4,8,3,2,1,8,2,4,1,1,4,2,2,2,2,6,2,
4,4,2,4,2,4,4,4,8,4,16,8,8,2,2,12,4,2,2,8,16,8,2,2,2,2,4,4,4,4,6,4,4,4,8,8,4,
6,2,4,6,6,4,8,24,4,4,4,4,8,8,2,6,4,4,6,2,4,4,4,4,8,8,16,8,24,8,16,8,4,4,4,4,4,
4,4,4,4,4,4,4,8,16,8,16,1,1,2,4,2,2,1,1,1,2,1,1,1,4,2,2,4,4,2,4,2,2,2,2,2,6,4,
2,2,1,1,2,2,2,2,4,2,2,2,2,4,4,2,2,2,2,4,2,2,2,2,2,2,4,4,2,3,1,2,2,4,4,4,2,2,4,
2,4,1,1,4,1,1,2,2,4,1,1,2,2,2,2,4,1,2,2,4,4,8,4,2,2,4,2,2,2,2,2,2,4,2,2,2,2,4,
2,2,2,2,4,1,1,1,1,2,2,2,2,4,2,2,4,2,2,2,2,2,2,4,4,4,4,8,2,2,2,2,2,2,4,4,4,8,4,
4,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,4,4,4,4,4,2,2,1,1,1,1,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,2,2,2,2,2,2,4,4,2,2,2,2,4,4,2,2,
1,1,1,1,2,2,2,2,2,2,4,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,20,
21,12,16,2,24,16,3,18,16,9,8,39,20,10,40,24,36,48,16,66,40,16,8,20,12,16,16,
16,3,12,3,12,7,6,14,24,6,4,5,10,4,6,8,8,10,15,30,4,16,32,16,48,8,40,24,24,8,
20,24,12,12,20,40,16,16,8,8,16,16,16,8,32,16,24,8,32,16,32,32,2,8,6,4,8,6,12,
6,12,8,16,10,20,2,4,8,16,16,16,16,32,8,8,1,2,1,3,1,12,5,3,12,3,2,12,12,2,4,4,
3,4,5,2,4,3,4,1,2,4,4,8,2,2,2,4,8,2,4,4,4,4,8,8,4,8,2,6,4,4,8,16,4,4,4,8,2,4,
4,8,2,4,4,8,6,4,8,16,6,4,8,8,6,12,2,4,6,6,2,12,4,12,4,8,8,16,12,4,4,16,16,10,
20,10,20,2,4,4,4,4,4,2,8,6,4,8,4,4,8,16,16,8,8,32,12,8,16,16,32,16,24,24,8,16,
8,16,1,1,2,4,4,3,2,1,2,1,3,1,4,4,8,5,4,4,8,2,2,2,2,4,4,4,4,2,4,6,2,2,4,4,4,4,
8,2,4,4,2,4,8,4,2,2,3,2,2,8,1,2,2,4,2,2,4,4,1,4,12,4,8,4,2,2,6,2,4,2,2,4,4,4,
2,2,4,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,8,4,8,8,8,4,4,8,4,8,4,4,4,4,4,4,4,4,4,8,4,
4,4,4,4,4,2,1,1,1,1,2,2,2,1,1,1,2,1,2,2,2,2,1,1,2,1,2,2,2,2,4,4,4,4,4,4,4,4,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,1],[1,2,16,12,13,16,20,2,4,12,
8,8,8,1,20,16,5,2,10,1,8,10,10,4,20,16,16,24,24,16,52,32,12,14,24,40,32,2,8,
10,8,16,16,12,8,8,3,12,2,13,2,1,6,4,4,6,8,8,12,2,8,1,2,6,6,2,2,2,4,4,4,8,4,1,
10,10,2,8,24,16,8,8,32,24,24,4,16,12,16,4,8,4,16,16,2,8,10,8,2,6,4,12,12,2,2,
4,4,4,6,6,8,12,24,8,8,16,12,12,8,8,16,8,16,24,8,28,12,32,16,8,8,16,16,16,4,6,
6,4,8,2,3,1,12,2,2,2,4,4,4,4,4,8,8,2,6,6,4,12,2,4,8,16,8,24,8,8,16,16,4,4,8,1,
2,1,3,1,12,1,2,2,1,2,2,2,8,1,4,12,2,2,8,2,2,4,2,1,2,2,2,1,2,2,2,4,1,2,4,1,2,2,
6,4,4,2,2,2,4,4,4,2,2,2,4,2,2,4,8,4,4,4,4,4,1,1,2,4,2,2,2,2,4,4,8,8,2,4,2,2,2,
4,4,2,3,1,6,4,2,2,4,4,8,2,4,2,2,4,4,8,8,6,4,8,4,4,3,2,1,12,2,4,1,1,4,2,2,2,2,
2,2,4,4,4,2,2,4,4,4,8,4,4,8,8,2,2,8,4,2,2,8,16,8,2,6,4,6,12,2,4,6,6,12,2,4,4,
4,4,4,4,6,6,4,8,6,6,4,8,24,4,4,4,4,8,8,16,2,2,4,4,8,8,24,8,16,8,16,4,4,4,4,4,
4,4,4,4,4,4,4,8,16,8,16,1,1,2,4,2,2,2,1,2,1,2,1,1,2,1,4,2,2,4,4,1,2,2,2,6,4,4,
2,2,2,1,1,2,2,4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,4,4,2,3,1,4,2,4,4,4,4,2,2,
1,2,2,1,1,4,4,1,2,2,4,2,1,1,2,2,4,1,2,2,2,2,4,4,4,8,4,2,2,2,2,2,2,4,2,2,4,2,2,
2,2,1,1,1,1,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,8,4,2,2,4,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,2,2,2,2,4,2,2,1,1,1,1,1,1,2,1,
1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,2,2,4,2,2,4,4,2,2,4,2,2,2,2,
1,1,1,1,2,2,4,4,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,28,
21,4,2,40,32,3,6,9,39,28,14,24,40,36,66,24,12,20,16,32,16,1,3,7,10,14,24,6,7,
6,8,10,8,16,6,15,30,32,48,8,24,40,24,4,12,12,4,16,32,40,24,32,8,32,6,16,10,8,
2,2,8,8,16,6,6,32,16,32,32,8,2,3,1,12,3,5,12,3,12,12,4,2,4,8,4,1,4,3,8,8,2,2,
2,4,8,8,4,2,4,16,8,8,6,4,4,4,4,16,4,4,12,16,16,2,6,2,6,6,4,4,8,12,32,32,4,32,
4,2,6,4,10,2,4,16,8,16,8,32,16,24,24,1,1,4,2,8,1,3,1,1,8,4,8,4,4,4,2,6,4,4,4,
8,2,2,4,2,8,2,2,4,2,4,8,1,4,12,2,6,2,4,2,4,2,2,4,8,4,4,4,4,4,8,4,8,4,4,8,4,4,
4,2,2,1,2,2,1,1,1,2,2,2,1,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,10,12,21,4,
16,2,24,3,6,9,8,39,12,6,24,24,36,48,16,66,24,16,8,4,16,4,16,16,32,1,3,12,7,6,
14,24,6,4,3,6,6,8,6,15,30,4,16,32,16,48,8,24,24,24,8,4,24,4,4,4,8,8,8,16,8,16,
8,32,16,8,8,16,16,2,8,2,4,2,8,12,2,16,16,24,32,2,2,4,16,16,16,16,8,2,3,1,12,3,
3,12,3,2,12,12,2,4,4,4,4,8,1,4,1,2,4,4,4,2,2,2,4,4,4,4,2,4,8,4,16,4,4,4,4,8,4,
16,16,2,4,4,8,8,16,2,12,2,4,2,2,2,4,4,4,16,12,4,4,16,16,2,2,4,4,4,4,2,8,2,4,4,
4,8,16,16,4,4,16,16,16,16,16,8,16,8,16,1,1,2,4,4,1,2,1,1,1,4,4,8,4,4,4,2,4,4,
4,4,4,8,2,4,2,2,2,2,8,4,2,4,2,4,8,1,4,8,4,2,2,4,2,2,4,4,2,2,4,4,4,4,4,4,8,4,4,
4,4,4,4,4,4,4,4,4,4,2,2,1,2,2,1,1,1,2,2,2,1,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,
1],[1,10,12,16,21,4,2,24,32,16,3,6,9,39,12,24,6,24,24,16,36,66,24,4,8,4,32,16,
32,1,3,7,6,4,14,24,6,3,6,4,6,8,24,4,16,6,15,30,32,48,8,24,24,24,4,4,16,4,8,8,
8,4,8,8,16,32,8,8,8,8,16,48,2,16,2,2,4,2,4,8,8,8,16,24,16,32,2,4,2,32,16,8,2,
2,3,1,12,3,3,12,3,12,12,4,2,4,2,8,4,1,4,4,1,8,4,2,4,4,8,8,4,8,8,4,16,8,8,4,8,
8,8,16,16,16,2,2,4,2,2,4,2,4,8,4,4,8,4,24,16,4,4,16,4,2,2,4,2,8,8,16,2,4,4,4,
16,4,4,8,8,8,24,16,16,8,8,8,8,8,8,1,1,4,2,1,1,1,1,4,4,8,2,4,4,4,4,4,4,8,4,4,4,
8,4,2,4,4,2,4,4,8,8,1,4,4,4,4,2,2,4,4,4,4,4,4,8,4,8,4,4,8,4,8,8,8,8,4,2,2,1,2,
2,1,2,2,2,2,1,2,2,2,2,8,8,8,8,1,1,1,4,1],[1,10,28,21,4,16,2,40,32,3,6,9,8,39,
28,14,24,40,36,48,16,66,24,16,8,12,20,16,1,3,12,7,10,14,24,6,4,7,6,8,10,8,16,
6,15,30,4,16,32,16,48,8,24,40,24,8,4,24,12,12,4,16,32,40,8,24,16,32,16,8,32,
16,8,8,16,32,6,8,10,4,2,12,2,8,6,6,4,32,16,16,16,32,8,8,16,2,2,3,1,12,3,5,12,
3,2,12,12,2,4,4,2,8,1,4,3,2,4,4,8,2,2,2,2,2,4,2,4,4,4,8,8,4,2,2,4,4,4,4,8,2,4,
4,8,6,4,4,4,12,2,12,6,4,2,6,6,4,4,8,12,32,32,12,4,4,16,32,4,2,6,4,4,4,4,10,2,
8,2,4,4,4,8,16,16,16,8,16,8,32,16,16,16,16,24,8,16,24,8,16,8,8,8,16,16,16,16,
1,1,2,4,4,2,8,1,2,3,1,1,8,4,8,4,4,4,4,2,4,4,4,2,6,4,4,4,4,8,2,4,4,4,8,2,2,2,2,
4,2,2,4,2,2,4,4,1,4,12,4,8,4,2,2,6,2,4,2,4,2,2,4,4,2,4,2,2,2,2,8,4,8,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,1,1,2,2,2,2,1,1,1,
2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,10,12,21,4,2,24,3,6,9,39,12,6,24,24,36,66,24,4,16,4,16,16,16,1,3,7,6,14,
24,6,3,6,6,8,6,15,30,32,48,8,24,24,24,4,4,4,4,8,8,8,8,16,2,8,2,2,2,8,24,16,2,
24,2,16,16,16,3,1,12,3,3,12,3,12,12,4,4,4,4,1,4,1,4,4,12,4,12,4,12,8,4,12,4,8,
8,8,2,2,2,2,2,4,4,4,16,4,16,2,2,4,2,4,4,4,16,16,8,8,8,1,1,4,1,1,1,1,4,4,8,4,6,
6,2,2,4,4,1,4,4,8,4,8,4,4,4,4,4,4,8,1,1,1,1,2,2,2,2,1,2,2,2,1,1,1,1],[1,10,12,
16,21,4,2,24,32,16,3,6,9,39,12,24,6,24,24,16,36,66,24,20,8,20,16,1,3,7,6,4,14,
24,6,3,6,4,6,8,24,4,16,6,15,30,32,48,8,24,24,24,4,4,16,4,8,8,8,4,8,8,16,32,8,
8,8,8,16,48,10,10,10,4,10,4,8,8,8,24,16,10,4,10,80,8,16,2,2,3,1,12,3,3,12,3,
12,12,20,2,4,2,4,5,20,4,5,20,2,4,4,8,4,8,4,4,4,8,4,8,4,8,4,4,8,4,4,8,4,8,8,2,
2,4,2,2,4,2,4,8,4,4,8,4,24,16,4,4,16,4,2,2,4,2,8,8,16,2,4,4,4,16,4,4,8,8,8,24,
16,16,8,8,8,8,8,8,8,8,8,1,1,4,2,1,1,1,1,4,4,8,2,4,4,4,4,4,4,8,4,4,4,8,4,4,2,4,
8,2,4,4,8,8,4,8,4,5,4,4,4,4,2,2,4,4,4,4,4,8,8,4,8,8,4,4,4,4,8,8,4,4,8,1,2,2,2,
1,2,2,1,2,2,2,2,8,2,2,2,8,8,8,1,1,1,4,1],[1,2,24,12,13,8,4,2,4,12,8,8,16,24,1,
8,5,2,2,1,16,10,10,8,20,16,16,24,8,16,4,12,14,24,8,10,16,10,8,8,16,12,8,8,1,2,
1,2,1,6,4,4,6,8,12,2,3,2,6,2,4,8,2,2,6,4,4,4,16,8,4,1,10,2,2,8,8,4,16,12,4,8,
4,16,16,2,4,2,2,6,8,12,4,4,2,10,12,4,6,6,8,4,8,16,8,8,16,4,12,8,8,8,12,4,8,24,
8,16,4,6,2,4,8,2,3,13,4,6,4,10,2,4,4,12,4,4,8,8,6,6,2,8,12,2,4,16,8,8,24,8,16,
16,12,4,8,2,1,1,1,1,1,2,1,2,2,2,8,1,2,2,8,2,2,4,6,2,2,1,1,2,2,2,2,4,3,8,2,2,1,
2,2,2,4,8,2,2,2,2,4,4,4,4,4,2,2,6,4,2,6,4,4,4,4,1,1,4,2,2,8,2,2,4,2,2,4,8,2,4,
2,2,2,4,4,4,4,4,2,3,1,2,6,4,2,2,8,2,2,4,8,4,4,4,4,1,2,1,2,1,3,4,2,2,2,2,6,2,4,
2,4,2,4,8,4,8,2,4,2,2,8,2,2,2,2,4,6,4,4,8,4,2,2,2,6,4,4,8,2,6,4,4,8,6,2,4,4,4,
8,8,4,4,4,4,8,12,4,4,4,4,4,4,4,8,8,1,2,1,1,2,1,1,2,2,2,2,2,2,2,1,2,2,2,2,1,1,
1,2,2,2,2,2,2,1,2,2,1,2,4,4,1,2,2,4,1,1,4,2,1,1,4,2,1,2,2,2,1,1,2,2,2,2,2,4,2,
2,2,2,4,2,2,4,2,3,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,4,4,4,2,2,2,2,2,4,2,2,4,4,4,2,2,2,6,4,2,2,4,2,2,
2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,
16,16,9,8,8,2,4,12,8,32,16,1,8,3,2,4,15,8,10,24,4,20,16,16,16,4,8,8,12,14,24,
8,4,16,16,8,12,8,16,8,8,1,1,2,3,2,4,4,4,6,8,12,2,1,2,6,4,2,24,4,4,4,4,16,4,3,
10,2,8,8,4,16,12,4,8,4,16,16,4,4,8,4,4,16,8,8,8,8,8,8,8,8,16,8,8,16,8,4,4,8,8,
8,4,4,8,8,8,16,8,16,2,8,4,6,4,4,8,2,8,2,4,4,16,8,8,4,4,8,8,6,4,4,8,12,6,8,8,8,
8,16,24,24,8,8,8,2,2,1,1,1,2,1,2,2,2,8,1,2,2,8,2,2,6,4,4,2,2,2,2,2,2,2,1,2,8,
4,3,2,2,4,8,2,2,2,2,4,4,4,4,6,6,2,4,6,2,4,4,4,4,3,2,1,2,2,8,4,2,2,2,2,4,8,4,4,
2,2,2,4,6,2,2,4,3,1,2,2,4,2,2,2,2,2,8,2,2,4,8,2,2,4,4,4,2,2,2,4,4,2,4,2,4,8,4,
8,8,4,8,4,2,2,2,8,4,2,2,2,2,2,8,4,8,4,2,2,4,2,2,4,4,8,4,4,8,8,8,8,4,8,8,8,8,8,
8,8,8,8,8,8,8,1,2,2,2,1,1,2,2,4,2,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,1,2,2,2,1,2,4,
4,1,2,2,2,2,1,1,4,2,1,1,4,1,1,1,2,2,1,1,2,4,2,2,2,4,2,2,4,4,4,4,2,2,2,4,2,4,2,
2,2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,2,2,4,4,2,2,2,2,4,4,4,
2,2,2,2,2,4,2,2,2,2,4,4,2,4,4,2,6,2,2,4,4,2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,
1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,20,12,9,4,12,2,24,8,16,24,3,6,3,6,9,
20,10,10,24,24,24,8,12,8,18,24,8,8,6,12,10,16,16,8,12,8,8,1,3,6,1,6,6,24,2,5,
6,2,4,6,8,8,2,6,16,8,6,9,2,2,8,8,8,24,24,24,6,2,6,6,4,4,12,4,6,6,12,4,10,2,8,
4,8,16,8,16,8,4,12,8,8,8,12,4,8,8,16,8,16,4,6,8,2,4,4,3,3,12,4,6,4,6,2,4,4,12,
4,4,8,8,6,2,2,24,4,2,8,8,16,8,32,8,16,12,4,8,2,1,1,1,1,3,3,12,1,12,2,8,2,2,2,
2,1,1,2,2,4,2,2,2,1,8,2,2,2,1,4,8,4,2,2,2,2,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,2,3,
1,12,2,4,2,2,2,4,8,2,4,2,4,6,4,2,2,2,4,1,2,3,4,4,2,2,12,2,2,4,8,2,2,4,4,4,1,3,
2,3,1,4,2,2,2,2,6,2,4,2,4,2,4,8,4,8,2,4,2,2,8,2,2,2,2,2,2,6,4,4,8,4,2,2,2,6,4,
4,8,2,6,4,4,8,6,2,4,4,4,8,8,4,4,12,4,4,4,8,4,4,4,4,4,4,8,8,1,2,1,1,2,1,1,2,2,
2,2,2,2,2,1,2,2,2,2,1,1,1,2,2,2,2,2,3,2,2,1,2,4,4,1,2,2,4,6,2,1,1,4,1,1,1,2,2,
1,2,1,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,4,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,4,4,4,4,2,2,2,4,2,2,4,4,4,
2,4,2,4,2,4,4,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,10,12,8,21,4,8,2,8,16,3,6,9,4,39,12,12,6,8,8,16,36,24,66,8,
16,4,20,12,20,8,32,1,3,6,7,2,2,4,14,6,3,2,2,12,2,15,4,30,8,32,48,16,8,8,4,8,4,
12,4,8,8,8,8,4,4,8,4,4,8,8,16,16,8,8,8,16,16,8,8,16,16,24,6,4,10,6,6,6,8,6,8,
4,12,8,48,16,10,4,8,6,16,8,48,8,8,8,1,1,3,2,1,12,1,1,3,12,1,2,8,3,2,8,2,4,2,4,
3,2,8,3,2,12,2,2,2,2,6,12,4,4,4,12,4,4,12,4,2,6,16,12,2,2,4,4,16,12,2,4,4,6,8,
4,4,4,4,8,4,2,2,6,8,2,2,2,2,4,4,2,4,4,4,4,8,4,12,8,2,6,2,8,4,8,2,4,4,2,4,2,4,
2,4,8,8,4,8,4,8,12,8,8,8,8,8,8,8,8,8,8,8,8,1,1,2,1,1,2,2,1,2,2,2,2,1,3,1,4,2,
2,2,4,1,1,2,2,4,2,2,2,2,1,2,2,2,1,8,6,1,2,2,1,1,2,4,6,2,6,2,2,6,4,4,8,4,2,4,2,
2,2,2,2,3,2,6,2,2,3,2,2,2,4,2,2,4,2,2,8,4,2,2,8,2,2,4,2,2,4,4,2,2,4,4,2,2,4,4,
6,6,6,6,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,4,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,1,3,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,24,9,
16,8,2,4,12,8,16,1,20,16,3,2,4,15,16,10,8,20,32,16,4,8,8,12,14,40,8,4,16,8,8,
4,8,16,16,8,8,3,12,1,2,3,2,4,4,6,8,12,2,3,6,6,4,8,2,4,4,4,8,3,10,2,8,8,4,16,
28,4,8,4,16,16,12,4,8,8,4,12,16,16,24,24,8,16,8,8,4,4,8,8,4,4,8,16,8,8,8,16,2,
8,6,4,8,4,2,8,6,12,4,8,4,4,24,8,16,8,6,4,12,12,6,8,8,8,16,8,24,8,8,8,1,1,1,1,
3,2,1,2,2,2,8,1,2,2,8,2,2,6,4,2,4,3,2,4,2,3,2,2,3,2,8,3,2,2,8,2,2,2,2,4,6,6,2,
4,4,4,6,2,4,4,3,2,1,2,4,4,2,2,2,2,4,4,8,4,4,2,2,2,4,6,2,2,4,8,4,3,1,2,2,4,2,2,
4,2,4,4,2,2,4,8,2,4,4,8,2,6,2,8,6,2,12,12,4,8,2,2,2,8,6,12,12,6,12,12,2,2,2,4,
8,2,2,4,4,2,2,8,12,4,8,8,24,8,8,24,8,8,1,2,3,1,3,2,3,2,2,2,1,2,2,2,2,2,1,1,1,
2,2,2,4,2,1,2,2,2,1,2,2,4,1,2,2,2,2,2,1,2,1,2,1,4,1,1,2,1,1,2,4,2,2,4,2,4,2,2,
4,12,2,2,4,2,6,2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,4,
2,2,4,4,2,4,2,4,4,2,2,2,2,2,4,2,2,2,2,2,4,4,2,6,8,2,2,4,4,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,2,1,1,1,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,12,12,9,12,12,2,24,8,
8,3,18,16,3,6,9,12,10,6,24,24,8,24,12,8,18,24,24,8,6,20,10,8,8,12,8,16,8,3,12,
3,6,1,2,6,24,2,3,6,6,6,8,2,2,8,6,9,6,2,8,8,8,24,16,24,24,6,12,6,6,2,4,12,6,2,
4,4,12,10,6,24,12,8,16,8,4,12,8,8,12,4,16,8,8,8,16,4,6,4,2,4,4,3,3,12,4,2,2,2,
4,4,12,4,8,4,8,8,16,16,10,6,6,12,4,2,8,16,8,32,8,12,4,8,1,1,1,1,3,2,3,12,1,12,
2,8,2,2,2,4,1,2,4,2,2,3,2,2,2,1,2,8,2,1,4,8,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,2,
3,1,6,2,4,2,4,2,2,4,8,2,4,2,4,6,4,2,2,2,8,4,4,1,2,3,4,4,2,4,6,2,4,2,4,8,2,4,4,
8,1,3,4,2,3,1,4,2,2,2,2,2,2,4,4,2,2,4,4,4,8,2,2,2,8,6,6,12,6,6,12,6,6,2,2,2,4,
8,2,2,4,2,6,8,2,2,4,4,4,8,8,12,4,4,4,4,4,8,4,4,4,4,4,4,8,8,1,2,2,1,1,1,2,2,3,
2,2,2,1,2,2,2,2,2,1,1,1,2,2,6,2,3,2,2,1,2,2,4,1,2,2,2,4,3,2,1,1,4,1,1,2,1,2,1,
4,2,2,4,2,2,2,2,2,2,2,2,2,4,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,4,2,2,2,2,4,4,4,2,2,2,4,2,2,4,2,4,2,4,
2,4,4,4,4,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,2,16,12,13,16,4,2,4,12,8,8,8,1,20,16,5,2,2,1,8,10,10,4,20,16,16,
8,24,16,4,12,14,24,24,10,8,10,8,16,12,8,8,16,3,12,2,1,2,1,2,4,4,6,8,12,2,1,2,
6,6,2,2,2,4,4,4,8,4,1,10,6,2,8,8,4,16,12,16,4,8,4,16,16,2,8,6,8,2,2,4,12,4,2,
6,4,4,4,6,10,8,12,24,8,16,8,4,12,8,8,28,4,8,8,8,16,4,6,6,4,2,3,13,4,2,6,2,4,4,
12,8,4,4,16,8,8,16,2,10,6,4,12,2,4,8,8,8,24,8,16,12,4,8,1,1,1,1,1,2,2,1,2,2,2,
8,1,2,2,8,2,2,4,6,2,4,1,2,2,2,4,1,2,2,2,3,2,8,1,2,2,2,8,2,2,2,2,4,4,2,2,6,4,4,
4,2,6,4,4,1,1,4,2,4,2,2,4,2,4,2,4,8,2,4,2,2,2,4,4,4,4,4,8,4,2,3,1,2,6,2,4,2,4,
2,2,4,4,8,6,4,8,1,2,1,4,2,1,3,4,2,2,2,2,2,2,4,4,2,2,4,4,4,8,2,2,2,8,2,6,4,6,
12,2,4,6,6,12,2,4,4,8,2,6,2,6,8,2,2,4,4,4,8,8,4,4,4,4,4,12,8,4,4,4,4,4,4,8,8,
1,2,2,1,1,1,2,2,1,2,2,2,2,1,2,2,2,2,2,1,1,1,2,2,2,4,2,2,1,2,2,1,2,2,4,1,2,2,2,
4,1,2,1,1,2,4,1,1,2,2,1,1,2,2,2,2,4,2,4,2,2,2,2,2,2,4,4,3,1,2,2,2,2,2,2,2,2,2,
2,2,1,2,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,4,2,2,2,2,4,4,
2,2,2,2,2,4,2,2,4,2,2,2,6,4,2,4,4,2,4,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,12,16,21,4,2,8,32,16,3,6,9,39,12,
24,6,8,8,16,36,66,8,20,24,20,16,16,1,3,7,2,4,14,6,3,2,4,2,24,4,16,2,15,30,32,
48,8,8,8,8,32,8,16,8,8,8,16,8,8,8,16,16,8,16,8,16,8,16,24,6,8,10,6,12,6,4,8,
24,8,8,24,10,4,8,6,16,16,48,16,8,8,8,2,2,3,1,12,1,1,3,12,8,4,6,4,2,2,2,4,3,8,
4,3,4,12,2,2,2,2,6,12,4,4,4,12,4,4,12,4,8,6,4,4,12,4,4,8,4,4,12,4,6,8,4,4,4,8,
4,8,8,2,2,8,2,4,4,2,4,4,8,4,16,4,12,8,8,8,2,4,4,2,2,8,4,2,2,8,4,8,4,4,8,16,8,
12,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,2,4,2,4,2,1,3,1,6,4,2,2,2,2,2,4,1,1,2,2,2,1,
2,2,2,4,2,6,1,2,1,2,4,2,6,2,6,4,2,2,6,4,4,4,4,4,2,4,2,4,2,2,3,2,6,2,2,3,2,2,2,
4,2,2,4,6,2,4,4,2,6,6,2,4,6,2,4,2,2,4,4,2,2,4,4,6,6,6,6,4,4,8,8,1,1,1,1,1,1,1,
1,1,1,1,1,2,3,2,1,2,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,1,2,2,4,2,2,2,2,2,2,
2,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,20,25,4,16,16,16,5,6,15,8,15,20,10,8,
16,60,48,16,60,8,16,20,16,24,16,1,10,12,4,20,4,5,2,4,4,8,2,15,30,4,16,60,16,
20,8,16,4,8,8,4,16,12,20,8,24,24,12,8,48,24,16,8,56,32,2,12,8,4,4,4,12,8,16,
10,8,2,4,16,24,16,24,4,8,8,8,1,2,1,1,2,15,2,15,3,4,2,4,2,1,2,6,4,6,1,2,2,1,5,
10,8,8,7,6,5,4,4,8,2,12,6,4,8,2,10,12,12,4,8,4,8,8,16,8,16,4,2,6,4,4,4,4,5,2,
12,4,4,4,4,12,24,16,6,14,8,4,8,24,16,8,8,4,8,8,16,4,8,16,4,4,4,8,8,8,8,1,1,2,
1,2,2,4,6,4,2,1,4,4,4,2,2,4,4,1,1,5,6,2,4,2,12,1,3,1,2,2,4,3,2,6,2,6,4,8,4,2,
1,1,2,2,4,2,4,4,4,4,2,6,3,1,8,4,8,2,4,2,4,6,6,2,4,8,8,4,2,2,2,2,4,4,4,2,2,4,4,
4,4,4,4,8,1,1,2,2,1,1,2,1,2,1,2,1,2,2,4,2,2,2,2,4,1,2,2,1,1,2,1,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,36,8,9,4,8,4,8,24,32,16,32,
1,2,3,4,15,28,8,12,14,16,8,40,16,4,8,12,4,16,16,4,4,4,16,16,16,16,1,2,3,8,2,4,
4,8,8,6,4,8,6,16,8,12,8,8,16,2,3,4,8,16,4,4,4,8,28,12,4,8,24,8,8,8,4,4,4,4,4,
4,16,32,32,32,24,32,4,4,4,24,16,4,8,4,4,4,8,8,8,16,8,8,6,4,2,2,2,4,8,8,24,16,
6,4,24,8,16,8,8,8,8,12,8,1,1,8,4,2,1,2,3,2,4,8,1,2,2,2,2,1,2,4,4,6,3,2,2,4,2,
3,3,1,2,2,2,2,4,4,4,8,4,4,4,4,8,4,3,8,6,2,2,2,1,2,4,4,2,2,2,2,2,2,8,8,8,4,6,4,
2,2,2,8,8,4,8,12,24,8,8,8,8,2,2,2,2,2,2,8,8,16,6,1,2,2,2,2,12,8,8,8,8,24,4,8,
8,16,24,4,8,24,4,8,4,4,4,8,8,8,8,1,6,3,2,2,2,2,1,2,4,2,2,2,1,2,4,2,2,2,1,2,1,
2,4,1,2,2,2,2,4,4,4,8,1,1,2,1,2,2,4,1,2,2,2,2,2,2,2,2,2,4,12,1,2,6,1,2,4,2,2,
2,2,2,2,2,4,4,1,2,3,6,2,4,8,2,4,4,2,2,2,4,4,4,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,1,2,1,1,2,2,1,2,2,4,2,4,2,2,2,1,2,1,2,1,2,1,2,2,
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],[1,6,36,9,4,16,4,8,
24,32,32,1,2,3,8,15,28,8,14,16,8,40,4,32,16,12,4,16,16,8,4,24,16,8,16,1,8,3,8,
4,8,8,4,6,4,8,6,16,8,8,8,16,2,3,4,8,16,8,4,4,4,8,28,12,4,8,24,4,4,20,4,4,4,16,
32,32,24,4,4,4,24,16,12,8,4,4,4,56,24,8,16,8,4,6,2,12,8,8,4,24,8,16,4,6,24,16,
8,8,8,8,8,4,8,1,1,8,4,2,1,3,2,4,8,2,1,2,1,2,2,2,2,6,4,6,2,3,4,2,2,1,1,3,2,2,2,
14,4,4,6,2,4,4,4,8,2,3,2,6,4,2,2,2,1,14,4,2,14,2,2,8,4,2,6,6,4,2,8,8,12,24,8,
8,14,2,6,8,8,8,16,6,3,2,2,2,2,8,12,8,8,24,8,16,8,8,8,8,8,24,4,24,4,4,4,4,8,8,
8,8,1,1,2,2,6,3,2,2,4,2,2,2,2,2,2,2,1,2,2,6,1,1,4,4,1,6,2,2,2,4,8,1,3,3,1,2,2,
2,4,2,2,2,4,2,2,4,12,2,1,6,2,1,6,4,2,2,2,6,2,2,1,2,1,4,2,2,2,12,4,2,4,2,2,4,2,
4,4,2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,1,2,3,1,2,3,2,4,
4,2,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,6,12,25,12,16,5,18,16,15,8,15,12,6,24,60,48,16,60,24,16,12,24,16,24,
3,12,10,12,20,4,3,6,6,15,30,4,16,60,16,20,24,12,12,24,12,12,8,24,24,12,8,48,
24,48,8,32,24,6,12,12,4,8,6,12,6,4,24,16,24,16,24,12,8,8,1,1,2,3,15,2,15,3,6,
4,3,2,6,4,6,3,2,3,3,6,12,8,3,6,9,6,4,12,8,12,4,8,6,12,12,6,12,6,12,6,4,4,12,4,
3,2,12,12,4,8,4,12,12,24,16,6,6,24,24,16,24,12,8,16,12,8,16,4,4,4,8,8,8,8,1,3,
2,3,6,4,6,3,4,4,3,3,3,6,6,4,4,6,12,1,3,3,2,3,6,6,2,6,4,8,4,3,3,2,4,6,4,6,4,6,
3,9,2,4,2,4,4,8,6,6,6,12,8,2,2,6,6,6,2,4,4,4,4,4,4,8,1,1,2,3,3,1,2,1,2,3,2,4,
2,2,2,2,4,3,3,3,1,6,6,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,
20,25,4,16,16,5,6,15,15,20,10,8,16,60,60,8,8,20,16,16,24,1,10,4,20,5,2,4,4,8,
2,15,30,60,20,8,16,4,8,8,4,16,12,20,24,12,16,56,2,12,8,8,4,12,4,12,10,8,2,16,
16,24,16,24,4,8,8,1,1,1,2,15,15,2,4,3,2,4,4,2,1,6,6,1,2,1,2,5,10,2,4,8,7,6,5,
2,4,12,2,12,2,4,12,6,2,4,10,12,12,4,8,4,8,16,8,16,4,2,6,4,5,4,4,6,14,8,4,8,8,
8,4,8,4,4,4,4,1,1,2,1,2,4,2,1,4,4,2,2,4,1,1,5,6,2,2,1,3,1,2,2,6,2,4,3,2,6,2,6,
2,2,1,1,2,2,4,4,2,6,3,1,8,4,4,2,2,4,6,6,2,4,8,4,2,2,4,2,2,4,4,4,4,2,2,4,4,1,2,
2,1,1,2,1,1,2,1,1,2,2,2,1,2,2,1,1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,6,12,25,12,5,18,16,15,15,12,6,24,60,60,24,8,12,24,24,16,3,12,10,20,3,6,
6,15,30,60,20,24,12,12,24,12,12,24,12,48,24,6,12,12,12,8,16,6,12,6,24,24,16,
24,12,8,1,1,3,15,15,2,4,4,3,6,3,6,6,3,3,2,3,6,2,4,12,3,6,9,2,4,12,2,12,6,12,4,
12,6,12,12,6,12,6,12,6,12,3,12,12,6,6,24,24,12,12,4,4,4,1,3,3,6,3,4,3,3,3,6,6,
6,1,3,2,3,6,2,3,6,6,2,6,2,3,3,6,6,6,3,9,4,4,4,2,2,6,6,6,12,2,2,4,6,6,4,6,2,4,
4,1,2,3,3,1,1,2,1,3,2,2,3,3,3,1,6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,20,
8,9,4,8,4,8,24,16,16,1,2,3,4,15,12,8,12,6,16,8,24,16,4,8,12,4,16,16,4,12,20,
16,16,16,1,2,3,4,2,4,4,8,8,2,4,2,8,12,8,8,16,2,3,4,8,16,4,4,4,8,12,12,4,8,24,
8,8,8,4,4,4,4,4,4,16,32,4,4,4,8,16,4,8,4,4,4,8,8,8,4,8,6,4,2,10,2,8,20,8,8,16,
4,2,4,8,8,16,8,24,8,12,8,1,1,8,4,1,2,1,2,4,8,1,2,2,2,2,5,2,2,4,2,1,2,2,4,4,3,
2,3,2,1,2,2,2,2,4,4,4,4,4,4,2,4,4,4,8,4,3,8,6,4,2,2,2,1,2,4,8,2,2,2,2,2,2,2,8,
4,8,4,2,4,2,2,2,4,8,4,8,4,8,8,8,8,2,2,2,2,2,2,1,2,2,2,2,4,8,8,8,8,4,8,4,8,4,8,
4,4,4,1,1,2,2,2,2,1,2,2,2,2,1,2,4,2,2,2,1,2,1,2,1,2,2,2,2,1,1,2,2,1,2,2,4,1,2,
2,2,2,2,4,2,2,2,2,2,1,2,2,1,2,2,2,2,2,2,2,2,4,1,2,3,6,2,4,4,4,2,2,2,2,4,4,4,2,
2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,4,1,2,1,2,1,2,1,1,2,1,1,2,2,2,1,2,1,2,
1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,20,9,4,16,4,8,24,16,1,
2,3,8,15,12,8,6,16,8,24,4,32,16,12,4,16,16,8,12,8,16,8,16,16,1,8,3,4,4,8,8,4,
2,4,2,8,8,8,16,2,3,4,8,16,8,4,4,4,8,12,12,4,8,24,4,4,20,4,4,4,16,4,4,4,8,16,
12,8,4,4,4,24,24,8,4,4,6,2,4,8,8,8,4,8,8,24,16,4,4,2,8,16,8,24,8,8,4,8,1,1,8,
4,1,1,2,4,8,2,1,2,1,2,2,2,2,2,4,2,4,2,2,1,4,4,2,1,2,1,2,3,2,2,2,6,4,4,4,4,2,2,
2,4,4,4,4,8,2,3,2,2,4,2,2,2,1,6,4,4,8,2,6,2,2,2,8,4,8,4,2,6,2,4,2,4,8,4,8,8,6,
2,6,8,8,3,2,2,2,2,8,4,8,8,8,8,8,8,8,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,2,2,2,1,2,
2,2,1,1,4,1,2,2,2,2,1,3,1,1,2,2,2,2,2,4,2,2,2,4,2,4,2,2,2,1,2,2,1,2,4,2,2,2,2,
2,2,1,2,1,4,2,2,4,2,4,2,4,2,2,4,2,4,4,2,2,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,4,
1,2,1,2,1,2,1,1,1,2,1,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,6,9,12,16,24,2,3,18,3,9,18,18,16,24,48,3,6,9,18,18,9,16,8,12,10,
12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,6,12,9,16,24,2,3,3,9,18,18,18,16,
24,48,3,6,9,18,18,9,16,8,12,10,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,15,
12,16,24,5,30,18,18,16,24,48,15,3,18,18,9,16,20,10,12,8,1,9,9,16,12,6,12,3,8,
1,1,2,1,3,1,1],[1,15,12,16,24,5,18,30,18,16,24,48,3,15,36,9,16,20,10,12,8,1,9,
9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,6,36,9,16,24,2,36,3,3,9,18,18,18,36,48,96,
24,6,9,9,18,18,36,36,9,18,16,8,12,10,12,8,24,24,1,9,18,9,18,16,12,12,24,36,6,
24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,3,9,36,3,4,36,1,3,3,9,18,18,1,9,9,18,18,18,
18,24,120,12,12,3,3,9,9,18,18,18,18,18,18,9,9,9,16,1,8,12,12,5,4,4,4,12,12,12,
12,1,9,9,9,9,9,9,16,6,12,18,12,24,12,3,3,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,
3,3,1,1],[1,15,36,16,24,5,30,54,54,48,96,24,15,9,54,54,27,16,20,10,12,8,24,24,
1,27,27,16,36,12,36,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,3,12,36,4,36,1,18,16,
18,36,36,18,24,120,12,12,3,12,9,18,18,72,9,18,16,1,1,8,32,4,4,12,12,12,12,1,9,
18,9,18,16,6,6,24,48,3,3,12,12,9,4,4,2,1,1,3,3,3,3,4,4,6,3,3,1,1],[1,18,3,18,
4,36,1,18,16,3,9,18,18,18,18,12,12,4,12,36,3,12,9,9,6,18,12,36,18,16,1,1,8,32,
12,4,4,12,12,12,1,3,3,18,18,16,1,3,3,3,6,4,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,
1],[1,18,3,12,6,4,36,1,18,16,3,9,36,36,3,9,12,4,12,12,24,3,12,9,9,24,3,9,9,9,
18,9,9,16,1,1,8,32,12,4,4,12,12,12,1,3,3,9,9,9,9,16,1,3,3,3,6,4,12,3,4,4,2,1,
1,3,3,3,3,4,4,1,3,1,1],[1,18,45,6,15,45,135,180,270,16,45,45,90,90,135,270,
360,360,48,6,45,15,180,135,270,16,18,45,1,1,3,1],[1,6,40,25,40,5,15,15,40,20,
40,60,60,40,20,16,10,10,20,10,10,15,30,60,20,40,20,20,20,40,20,120,10,10,10,
20,40,32,16,1,5,15,15,5,10,15,10,5,10,20,10,20,40,20,40,10,10,30,16,1,5,10,10,
10,10,10,10,5,5,1,2,1,1],[1,6,20,25,20,5,30,15,15,20,10,40,60,60,40,20,40,16,
5,10,20,5,10,10,15,30,60,20,40,20,20,20,40,20,80,40,10,20,10,10,40,16,16,16,1,
5,15,15,5,10,5,10,15,10,20,10,10,20,20,20,10,10,40,40,16,1,5,10,5,5,5,5,10,10,
5,10,5,1,1,1,1,1],[1,20,15,5,20,10,30,20,10,40,16,15,5,20,40,5,20,10,20,16,1,
5,10,10,5,10,10,16,5,5,5,5,1,1,1],[1,15,20,5,30,30,30,40,16,5,15,60,15,20,20,
16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,30,15,1,30,5,45,45,6,10,10,90,30,15,45,
10,6,10,5,5,15,30,15,6,10,10,10,18,15,30,15,6,5,10,1,6,5,3,1,1],[1,15,30,1,30,
5,45,45,6,10,10,90,15,30,45,10,6,5,10,5,15,30,15,6,10,10,10,18,15,30,15,6,5,
10,1,6,5,3,1,1],[1,6,36,9,36,64,2,12,24,72,72,3,54,48,3,4,9,36,36,18,72,72,72,
18,36,72,36,48,64,9,36,18,24,6,24,36,72,72,9,18,36,18,24,36,72,72,72,18,9,36,
24,72,72,48,72,72,72,144,144,36,48,36,72,144,18,36,72,32,192,48,64,3,6,8,24,
72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,72,9,12,18,36,72,18,36,72,18,36,72,
18,36,72,48,64,3,18,18,24,9,12,6,36,18,36,72,9,18,36,4,24,24,32,1,3,18,3,18,4,
24,3,1,1],[1,6,60,9,12,64,2,12,24,72,72,48,3,18,3,4,9,60,36,30,72,72,72,18,36,
72,12,24,48,64,3,18,24,6,24,36,72,72,15,18,36,12,18,24,24,36,72,72,72,18,9,36,
24,72,72,48,72,72,72,144,144,12,12,24,48,96,24,48,24,48,12,12,24,48,6,24,32,
192,48,64,6,8,24,72,72,3,1,6,9,12,9,18,36,36,36,36,144,18,36,72,3,12,6,12,12,
48,24,24,6,12,48,6,12,24,24,6,12,24,6,24,48,12,12,12,24,24,48,16,32,64,3,18,
18,24,3,6,12,6,12,24,6,12,24,24,48,12,6,6,24,3,12,12,4,24,24,32,1,3,12,6,3,6,
12,4,8,16,3,1,1],[1,6,36,24,9,12,64,2,12,24,72,72,24,24,3,18,3,4,9,36,36,12,
18,72,72,72,24,18,36,72,12,24,24,24,64,3,18,24,6,24,36,72,72,9,18,36,6,18,24,
36,6,6,72,72,72,24,18,9,36,24,72,72,48,72,72,72,144,144,12,12,12,12,24,24,48,
48,24,48,24,24,24,12,6,6,12,12,24,24,6,24,32,192,48,64,6,8,24,72,72,3,1,6,9,
12,9,18,36,36,36,36,144,18,36,72,3,6,6,6,12,6,6,24,24,24,12,12,6,6,6,24,24,6,
12,12,12,24,6,6,6,24,6,12,12,24,24,12,12,6,6,24,12,12,24,24,16,32,32,32,3,18,
18,24,3,6,6,6,6,6,6,24,6,6,6,24,12,12,24,24,12,6,3,3,12,12,3,6,6,12,4,24,24,
32,1,3,12,3,3,3,3,3,12,4,4,4,16,3,1,1],[1,18,45,24,64,6,15,45,12,135,180,72,
270,12,72,64,45,18,45,90,90,135,270,24,360,360,12,36,72,144,72,36,18,72,96,
240,6,3,45,15,180,135,270,3,18,18,36,18,36,72,72,18,18,36,36,72,72,16,96,18,
45,3,18,18,36,18,24,72,9,18,36,24,60,1,9,12,9,12,12,16,3,1,1],[1,18,24,45,64,
6,48,15,45,135,36,180,270,36,48,64,45,45,6,90,90,36,135,270,360,360,72,36,36,
48,144,18,36,72,96,240,6,3,45,15,180,135,270,9,12,18,36,72,18,36,72,18,36,72,
18,36,72,48,64,18,45,9,12,18,36,6,36,72,9,18,36,24,60,1,3,18,3,18,4,24,3,1,
1],[1,18,12,45,4,64,6,24,15,6,45,135,12,6,24,24,180,270,24,12,12,64,1,45,45,6,
90,24,90,3,6,6,8,6,135,270,360,360,8,24,24,24,12,12,12,12,24,24,24,24,48,6,6,
6,6,6,6,48,96,240,6,45,15,180,3,3,12,135,270,12,12,3,12,3,12,6,12,6,6,6,12,6,
6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,16,32,32,18,45,1,12,3,3,3,3,
12,12,24,12,2,2,6,6,12,6,6,6,12,6,6,12,6,12,3,24,60,1,6,6,6,6,3,3,4,8,8,1,1,
1],[1,10,36,21,12,64,2,12,24,72,72,3,18,9,4,39,36,36,18,72,72,72,36,66,36,72,
12,12,64,3,3,7,18,24,14,24,36,72,72,6,9,18,36,18,24,36,72,72,72,18,15,36,30,
32,48,24,72,72,48,72,72,72,144,144,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,
32,192,48,64,6,8,24,72,72,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,12,
3,12,3,12,6,12,6,12,6,6,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,
16,32,32,1,3,18,18,24,12,3,3,3,3,12,12,24,12,12,12,2,2,6,6,6,6,6,6,6,12,6,12,
3,4,24,24,32,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,6,36,4,9,12,12,64,2,12,24,72,72,3,
18,3,4,6,9,36,36,6,18,72,72,72,24,12,24,18,36,72,24,24,6,6,12,64,3,3,18,1,6,
24,6,24,36,8,72,72,6,9,18,36,18,24,36,72,72,72,18,9,36,6,6,24,8,24,24,24,24,
72,72,48,72,72,72,144,144,6,6,6,6,6,6,6,6,24,12,12,24,12,12,24,24,6,6,3,3,6,6,
6,24,24,32,192,48,64,6,8,24,72,72,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,
36,72,6,6,3,12,3,12,3,3,6,6,6,6,6,6,3,3,3,3,6,3,3,6,6,6,6,12,12,24,24,6,6,24,
24,6,6,6,6,6,6,6,12,12,24,24,24,24,16,32,32,1,3,18,18,24,6,6,3,3,3,3,12,6,6,
12,12,12,6,6,6,6,1,1,2,3,3,3,3,6,6,3,3,6,6,6,6,3,3,6,6,3,4,24,24,32,1,3,3,6,6,
3,3,3,3,4,4,4,8,1,1,1],[1,6,36,12,9,12,36,16,2,12,24,72,72,3,18,3,4,18,9,36,
36,18,18,72,72,72,72,36,72,18,36,72,72,72,18,18,36,16,48,48,3,9,18,3,18,24,6,
24,36,24,72,72,18,9,18,36,18,24,36,72,72,72,18,9,36,18,18,72,24,72,72,72,24,
72,72,48,72,72,72,144,144,18,18,18,18,18,18,18,18,72,36,36,72,36,36,72,72,18,
18,9,9,18,18,18,72,72,8,12,16,48,48,6,8,24,72,72,9,1,6,36,9,12,9,18,36,36,36,
36,144,9,36,18,36,72,18,18,9,36,9,36,9,9,18,18,18,18,18,18,9,9,9,9,18,9,9,18,
18,18,18,36,36,72,72,18,18,72,72,18,18,18,18,18,18,18,36,36,72,72,72,72,12,12,
24,12,24,24,16,3,3,18,18,24,18,18,9,9,9,9,36,18,18,36,36,36,18,18,18,18,3,3,6,
9,9,9,9,18,18,9,9,18,18,18,18,9,9,18,18,9,1,8,12,12,24,12,24,1,9,9,18,18,9,9,
9,9,1,3,3,12,3,1,3,3,1],[1,18,36,45,12,16,6,72,15,18,45,135,36,18,72,72,180,
270,72,36,36,16,48,48,3,45,45,18,90,72,90,9,18,18,24,18,135,270,360,360,24,72,
72,72,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,48,48,6,45,15,
180,9,9,36,135,270,36,36,9,36,9,36,18,36,18,18,18,36,18,18,18,18,18,36,36,36,
144,36,144,18,18,36,18,36,36,36,144,144,12,12,24,12,24,24,16,18,45,3,36,9,9,9,
9,36,36,72,36,6,6,18,18,36,18,18,18,36,18,18,36,18,36,9,1,8,12,12,12,24,24,1,
18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,18,36,45,12,16,6,72,15,18,45,135,36,18,
72,72,180,270,72,36,36,48,16,48,3,45,45,18,90,72,90,9,18,18,24,18,135,270,360,
360,24,72,72,72,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,48,
48,6,45,15,180,9,9,36,135,270,36,36,9,36,9,36,18,36,18,18,18,36,18,18,18,18,
18,36,36,36,144,36,144,18,18,36,18,36,36,36,144,144,12,12,24,12,24,24,16,18,
45,3,36,9,9,9,9,36,36,72,36,6,6,18,18,36,18,18,18,36,18,18,36,18,36,9,1,8,12,
12,24,12,24,1,18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,6,12,25,12,64,5,18,16,15,
15,12,6,24,60,60,24,12,24,64,3,12,10,20,3,6,6,15,30,60,20,24,12,12,24,12,12,
24,12,48,24,6,12,6,12,6,24,24,12,32,64,48,1,1,3,15,15,3,6,3,6,3,3,3,6,12,3,6,
9,6,12,12,6,6,12,6,12,6,12,3,12,12,6,6,24,24,12,12,16,32,32,1,3,3,6,3,4,3,3,3,
6,6,6,1,3,3,3,6,2,6,3,3,6,6,6,3,9,6,6,6,12,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,
4,8,1,1,1],[1,6,12,24,9,4,24,16,2,24,24,24,3,6,3,12,9,12,12,6,24,24,24,24,24,
18,24,24,12,12,16,24,24,32,32,16,1,6,6,6,24,6,3,6,6,6,8,6,6,24,6,9,6,24,8,24,
24,24,12,12,12,12,12,12,24,48,12,24,24,24,12,24,48,24,12,6,6,6,6,12,24,6,24,6,
24,8,12,16,16,16,3,1,3,3,12,3,12,6,3,6,4,3,12,12,3,12,6,6,6,12,12,3,6,12,6,12,
12,6,6,6,6,6,6,24,6,6,6,6,12,24,6,6,12,12,6,6,12,24,24,8,8,16,16,4,8,8,16,1,6,
3,3,6,6,6,6,6,6,6,6,6,12,6,3,3,6,6,6,6,6,12,6,12,1,4,8,4,8,4,1,3,3,3,3,3,3,2,
2,1,4,3,1,1,1,1],[1,10,24,24,21,16,2,24,48,3,9,39,24,36,12,24,36,66,12,12,24,
40,32,32,16,3,7,6,6,14,6,6,6,36,15,30,32,48,24,12,24,12,12,12,24,48,36,24,36,
24,72,6,12,6,12,60,6,6,24,8,12,16,16,16,3,3,1,12,3,3,12,3,10,3,6,12,12,6,3,18,
12,18,12,9,6,12,12,6,6,6,6,12,12,36,24,6,24,6,12,18,6,12,36,8,8,16,16,4,8,8,
16,1,3,6,3,6,6,6,6,6,12,6,6,6,6,9,6,3,6,6,6,6,12,6,12,1,4,8,4,8,4,1,3,3,3,3,3,
3,2,2,1,4,3,1,1,1,1],[1,6,24,25,24,16,24,5,15,12,15,24,12,24,60,72,60,4,24,12,
48,32,32,16,10,18,6,20,6,6,15,30,24,60,20,24,12,12,12,24,36,12,24,72,36,24,72,
24,6,6,6,6,12,48,24,8,12,16,16,16,1,3,3,15,15,1,3,12,6,6,6,9,6,3,6,6,6,6,6,6,
6,12,24,24,6,6,12,24,12,6,24,6,18,18,36,6,18,36,8,16,8,16,4,8,8,16,1,3,6,9,6,
6,6,6,6,6,6,18,3,6,3,12,6,6,12,6,6,6,6,1,4,4,8,8,4,1,3,3,3,3,3,3,2,2,1,4,3,1,
1,1,1],[1,6,12,9,12,24,16,2,24,3,18,16,3,12,9,12,6,24,24,24,24,18,24,24,12,12,
24,24,24,32,48,3,12,6,6,6,24,6,3,6,6,8,6,9,6,24,8,24,24,24,12,12,12,12,24,12,
24,24,24,12,48,24,12,6,12,6,12,24,6,12,6,24,24,8,12,16,16,16,1,1,3,3,12,3,12,
6,6,3,6,3,12,3,6,6,6,24,6,12,3,6,6,12,6,6,24,6,12,6,6,6,24,6,12,6,12,6,6,6,6,
12,6,12,24,8,16,12,8,8,16,1,6,3,3,2,6,6,6,6,6,6,6,3,3,12,3,3,6,6,6,6,6,12,12,
1,4,4,8,8,4,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,10,24,8,21,16,2,24,16,3,9,39,
24,12,12,24,36,66,12,36,24,24,32,16,32,3,7,6,2,14,6,6,6,12,15,30,32,48,24,12,
24,12,12,12,48,36,24,36,24,6,12,18,36,36,6,6,24,8,12,16,16,16,1,3,1,12,3,3,12,
9,6,3,6,12,12,6,12,3,6,24,12,6,24,9,6,12,12,6,6,6,6,12,12,24,6,24,6,12,18,6,
12,8,16,4,8,8,8,16,1,3,6,3,6,6,6,2,6,6,6,6,6,3,12,3,6,6,6,12,6,6,12,1,4,4,8,4,
8,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,24,25,8,16,24,5,15,4,15,24,12,24,60,
24,60,12,24,12,48,32,16,32,10,6,6,20,6,6,15,30,8,60,20,24,12,12,12,24,12,12,
24,24,12,24,72,24,6,6,18,6,12,48,24,8,12,16,16,16,1,1,3,15,15,3,3,12,6,6,6,9,
6,3,6,6,6,6,18,6,18,12,24,24,6,6,12,24,12,6,24,6,6,6,12,6,18,12,8,16,4,8,8,8,
16,1,3,6,3,6,6,6,6,6,6,2,6,9,6,3,12,6,6,12,6,6,6,6,1,4,4,8,4,8,3,1,3,3,3,3,3,
2,1,2,4,3,1,1,1,1],[1,6,36,9,20,16,2,12,24,72,72,3,30,16,3,4,9,36,36,18,72,72,
72,18,36,72,12,16,80,5,12,18,24,6,24,36,72,72,9,18,36,18,24,36,72,72,72,18,9,
36,24,72,72,48,72,72,72,144,144,12,16,12,24,48,6,12,24,8,12,16,16,16,1,6,8,24,
72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,72,3,4,6,12,24,6,12,24,6,12,24,6,12,
24,20,24,24,16,3,18,18,24,3,4,2,12,6,12,24,3,6,12,1,4,8,12,4,1,1,6,1,6,3,2,4,
1,1,1,1,1],[1,18,45,8,16,6,15,45,4,135,180,24,270,4,24,48,32,45,6,45,90,90,
135,270,8,360,360,4,12,24,48,24,12,6,24,8,12,16,16,16,6,1,45,15,180,135,270,1,
6,6,12,6,12,24,24,6,6,12,12,24,24,12,24,8,24,16,18,45,1,6,6,12,6,8,24,3,6,12,
1,8,12,4,4,1,3,4,3,4,3,2,4,1,1,1,1,1],[1,18,8,45,16,6,16,15,45,135,12,180,270,
12,16,48,32,45,45,2,90,90,12,135,270,360,360,24,12,12,16,48,6,12,24,8,12,16,
16,16,6,1,45,15,180,135,270,3,4,6,12,24,6,12,24,6,12,24,6,12,24,12,8,24,24,16,
18,45,3,4,6,12,2,12,24,3,6,12,1,4,8,12,4,1,1,6,1,6,3,2,4,1,1,1,1,1],[1,6,12,
12,9,4,12,16,2,24,3,6,3,6,9,12,18,6,24,24,24,12,18,24,24,6,18,16,24,12,24,16,
16,16,1,3,6,3,6,6,24,3,6,6,8,6,9,6,24,8,24,24,24,6,6,6,6,18,6,18,6,24,12,12,
24,6,12,9,3,6,12,24,6,24,24,24,48,8,12,16,16,16,3,1,3,3,12,12,6,6,4,6,3,12,12,
12,12,9,12,6,6,24,6,6,6,3,6,12,6,24,6,3,3,9,3,6,6,6,6,24,6,6,6,24,4,12,8,4,8,
8,16,1,3,6,6,3,3,3,6,3,6,6,3,12,3,6,3,6,6,6,12,12,1,4,8,4,8,4,1,3,3,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,6,12,25,12,16,5,18,15,15,12,6,24,60,60,24,16,12,24,48,16,
16,16,3,10,20,3,6,6,15,30,60,20,24,12,12,12,24,12,48,24,6,24,12,24,6,6,48,48,
24,8,12,16,16,16,1,3,15,15,4,12,3,12,6,6,6,12,3,6,9,6,24,6,24,6,12,24,24,6,6,
12,12,12,6,6,24,24,12,4,8,4,8,8,16,1,3,6,3,3,3,3,6,6,12,6,3,6,12,6,6,6,12,12,
1,4,8,4,4,8,4,3,3,3,6,1,1,1,4,3,1,1,1,1],[1,10,12,21,12,16,2,3,18,9,39,12,6,
24,36,66,24,24,24,12,40,16,16,16,3,3,7,14,6,3,6,6,15,30,32,48,24,24,12,12,24,
12,12,24,24,6,6,12,6,24,60,48,12,24,8,12,16,16,16,3,1,12,3,3,12,6,10,12,3,6,
12,12,6,12,6,9,18,24,6,18,24,3,6,12,6,6,6,12,12,6,6,6,24,24,12,4,8,4,8,8,16,1,
3,6,3,3,3,6,6,3,3,9,12,6,3,6,6,6,6,24,1,4,8,4,4,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,
1,1],[1,15,12,24,64,5,18,16,30,36,24,18,24,36,64,3,12,15,6,6,6,36,36,36,12,48,
9,6,12,18,12,12,6,12,32,64,48,1,1,3,3,9,9,6,12,18,9,6,12,18,12,6,12,6,12,12,
16,32,32,3,3,6,6,3,9,3,6,3,6,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,18,24,
45,16,6,48,15,45,135,36,180,270,36,48,32,48,45,45,6,90,90,36,135,270,360,360,
72,36,36,48,144,18,36,72,8,12,16,16,16,6,3,45,15,180,135,270,9,12,18,36,72,18,
36,72,18,36,72,18,36,72,8,16,12,24,24,16,18,45,9,12,18,36,6,36,72,9,18,36,1,8,
12,4,8,4,8,1,3,18,3,18,2,3,4,8,3,1,1,1,1],[1,6,36,24,9,12,16,2,12,24,72,72,24,
24,3,18,3,4,9,36,36,12,18,72,72,72,24,18,36,72,12,24,24,24,32,48,3,18,24,6,24,
36,72,72,9,18,36,6,18,24,36,6,6,72,72,72,24,18,9,36,24,72,72,48,72,72,72,144,
144,12,12,12,12,24,24,48,48,24,48,24,24,24,12,6,6,12,12,24,24,6,24,4,12,4,16,
16,16,6,8,24,72,72,3,1,6,9,12,9,18,36,36,36,36,144,18,36,72,3,6,6,6,12,6,6,24,
24,24,12,12,6,6,6,24,24,6,12,12,12,24,6,6,6,24,6,12,12,24,24,12,12,6,6,24,12,
12,24,24,8,8,8,12,12,12,24,16,3,18,18,24,3,6,6,6,6,6,6,24,6,6,6,24,12,12,24,
24,12,6,3,3,12,12,3,6,6,12,1,4,12,4,4,4,4,4,4,4,1,3,12,3,3,3,3,3,12,2,3,4,4,4,
3,1,1,1,1],[1,6,36,24,9,12,16,2,12,24,72,72,24,24,3,18,3,4,9,36,36,12,18,72,
72,72,24,18,36,72,12,24,24,24,32,48,3,18,24,6,24,36,72,72,9,18,36,6,18,24,36,
6,6,72,72,72,24,18,9,36,24,72,72,48,72,72,72,144,144,12,12,12,12,24,24,48,48,
24,48,24,24,24,12,6,6,12,12,24,24,6,24,8,12,16,16,16,6,8,24,72,72,3,1,6,9,12,
9,18,36,36,36,36,144,18,36,72,3,6,6,6,12,6,6,24,24,24,12,12,6,6,6,24,24,6,12,
12,12,24,6,6,6,24,6,12,12,24,24,12,12,6,6,24,12,12,24,24,8,16,12,24,24,16,3,
18,18,24,3,6,6,6,6,6,6,24,6,6,6,24,12,12,24,24,12,6,3,3,12,12,3,6,6,12,1,8,12,
4,8,8,4,1,3,12,3,3,3,3,3,12,2,3,4,8,3,1,1,1,1],[1,18,45,24,16,6,15,45,12,135,
180,72,270,12,72,32,48,45,18,45,90,90,135,270,24,360,360,12,36,72,144,72,36,
18,72,8,12,16,16,16,6,3,45,15,180,135,270,3,18,18,36,18,36,72,72,18,18,36,36,
72,72,8,16,12,24,24,16,18,45,3,18,18,36,18,24,72,9,18,36,1,8,12,4,8,4,8,1,9,
12,9,12,2,3,4,8,3,1,1,1,1],[1,6,12,36,9,12,12,16,2,24,24,24,3,18,16,3,6,9,12,
30,6,24,24,24,72,12,18,24,72,6,12,30,12,24,48,16,48,3,12,3,6,3,6,6,24,3,6,18,
6,8,6,6,24,6,9,18,24,8,24,48,24,24,6,12,18,6,6,12,12,18,6,12,12,12,30,18,24,
36,24,48,24,12,12,24,24,6,9,3,12,6,6,6,12,12,12,12,24,6,18,18,12,24,12,12,8,
12,16,48,48,1,3,3,1,3,6,3,12,12,6,3,6,6,3,6,3,6,6,9,6,6,6,6,6,6,12,3,6,6,12,3,
3,12,9,3,12,6,6,6,6,6,6,12,12,6,6,12,12,24,6,6,18,12,18,6,12,18,18,12,24,6,24,
6,6,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,4,20,16,8,12,8,8,16,1,6,3,
3,6,6,3,6,6,2,6,3,3,3,6,6,6,3,6,12,6,3,3,3,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,
1,4,12,8,12,8,3,3,1,3,3,3,3,6,6,6,6,1,2,1,1,4,2,3,1,1,1,2,2,1],[1,10,12,32,21,
12,16,2,64,48,3,18,9,39,12,48,6,24,48,36,66,24,24,24,12,24,16,16,32,16,32,3,3,
7,8,14,6,3,6,12,48,12,48,6,15,30,32,48,24,24,12,48,12,24,24,24,24,24,24,24,12,
12,24,24,72,6,6,12,6,12,24,24,24,36,12,12,24,24,8,12,16,16,32,16,32,4,6,3,1,
12,3,3,12,6,6,6,3,12,6,6,6,12,6,9,6,12,6,6,12,3,6,6,12,6,6,12,12,24,12,24,36,
12,12,12,6,24,6,6,6,24,12,12,24,24,24,36,24,24,24,24,24,24,24,12,4,8,8,16,4,8,
8,8,16,1,6,3,6,6,12,6,3,3,3,6,6,6,2,6,12,6,3,3,3,6,3,6,12,12,12,12,6,12,6,6,6,
6,6,6,1,4,4,8,8,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,4,
18,32,3,18,12,16,2,40,12,60,9,12,1,2,6,6,6,24,9,24,48,60,12,24,6,12,48,24,6,
18,12,12,12,12,12,16,16,32,16,32,3,3,1,2,12,6,8,6,6,15,3,18,15,24,48,3,6,12,6,
24,8,24,24,24,24,6,6,12,12,6,6,12,24,12,12,12,18,30,12,12,18,18,12,12,12,12,
12,24,24,12,12,24,24,6,3,3,12,6,3,9,6,6,18,18,24,6,6,24,6,3,9,6,24,6,12,6,8,4,
8,16,16,32,16,32,1,3,6,3,1,12,3,3,12,3,3,6,6,3,6,6,6,6,6,6,6,3,3,3,6,3,3,6,6,
6,6,6,6,3,6,6,3,3,12,6,3,9,6,6,12,12,3,3,12,18,6,6,24,3,3,6,6,6,3,3,6,6,6,18,
6,6,6,24,6,6,18,18,6,3,9,12,18,6,6,24,24,6,12,6,6,6,6,6,6,12,6,12,6,6,6,12,6,
12,6,6,4,8,4,8,8,8,8,4,8,8,8,16,1,6,3,3,3,6,6,6,6,3,3,3,3,3,6,3,3,1,1,3,3,6,6,
6,3,3,3,6,3,6,6,6,3,3,6,3,3,12,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,8,8,4,8,
8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,4,1,1,3,1,1,1,1,1,1,1,1],[1,6,12,25,
12,32,16,5,18,15,16,15,12,6,24,60,96,48,60,24,48,12,24,48,16,16,32,16,32,3,10,
24,20,12,3,6,6,15,30,12,32,60,48,20,24,12,12,12,24,24,48,12,24,96,48,48,24,24,
6,24,12,12,6,6,12,48,48,24,24,8,12,16,16,32,16,32,1,4,3,15,6,15,3,6,12,12,6,6,
3,6,9,6,12,24,24,6,6,12,12,12,12,6,24,12,12,12,12,24,48,48,6,6,24,48,48,24,24,
48,24,48,12,4,8,8,16,4,8,8,8,16,1,3,6,12,12,6,3,3,3,3,6,6,8,24,3,6,12,12,24,
12,6,12,6,12,6,12,1,4,4,4,8,8,8,8,3,4,3,3,6,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,
1],[1,6,60,9,12,16,12,24,72,48,32,1,6,3,15,36,24,18,48,24,72,4,12,12,48,12,24,
48,48,16,48,1,3,12,12,24,24,6,12,8,6,16,24,24,24,48,6,3,8,12,12,12,24,36,36,
12,24,72,12,12,48,96,48,24,12,24,12,24,48,12,6,6,24,48,6,24,24,8,8,4,16,48,48,
3,24,12,2,1,3,6,12,24,3,6,6,12,6,3,2,12,24,9,6,3,12,6,24,12,6,6,12,12,24,24,6,
24,48,6,6,12,24,24,24,48,24,24,4,8,16,4,8,8,4,8,16,8,16,8,3,6,3,6,12,6,3,6,3,
3,12,3,12,24,3,12,6,6,4,12,6,6,12,6,12,8,4,8,16,4,8,4,8,16,8,8,1,3,6,3,6,6,6,
6,6,1,4,8,3,1,1,1,1],[1,6,48,9,24,16,6,12,36,24,16,1,24,16,3,6,15,24,30,12,60,
48,48,4,12,42,72,24,24,12,24,48,16,48,3,12,1,3,6,12,12,18,24,36,3,6,18,4,8,6,
12,12,12,12,3,30,8,12,48,36,12,24,12,48,48,12,24,12,24,24,24,72,24,48,24,12,
12,24,24,6,12,6,12,12,24,6,12,36,24,8,4,4,4,16,48,48,1,1,1,3,3,6,3,6,6,6,24,6,
6,24,6,3,6,3,6,3,2,9,6,12,6,6,12,6,12,3,6,12,6,12,6,12,6,6,12,12,24,6,6,12,36,
6,12,36,12,24,6,24,12,12,24,24,24,4,12,4,4,8,4,4,8,12,4,4,8,8,16,8,3,3,3,6,3,
6,6,6,6,3,3,3,6,6,6,12,3,6,12,6,3,6,3,3,6,4,12,6,6,6,6,6,6,6,4,4,4,12,4,8,12,
4,8,4,4,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,18,12,7,18,32,16,6,
4,12,9,4,3,6,16,18,18,9,72,12,4,48,72,18,36,72,72,6,6,12,12,12,12,12,12,16,16,
32,16,32,1,1,12,3,18,18,24,18,3,1,3,8,9,18,18,18,72,8,24,72,72,72,8,6,6,12,6,
6,12,12,6,6,6,6,12,12,12,12,12,12,12,24,24,12,12,24,24,12,12,24,24,6,6,6,3,3,
12,3,3,6,6,6,6,24,3,3,6,24,24,2,6,4,4,4,16,16,32,16,32,1,1,9,3,36,1,9,36,3,3,
6,3,6,6,2,6,6,6,3,6,3,3,6,6,6,6,6,6,6,6,3,3,6,6,3,6,3,3,12,6,3,3,6,6,3,3,6,6,
6,24,3,3,12,3,3,6,6,6,6,6,6,24,6,6,24,3,3,6,6,6,24,24,24,6,6,6,6,6,6,6,6,4,4,
4,4,4,4,8,8,8,4,4,4,8,8,8,16,8,3,3,3,3,6,6,6,3,3,3,6,3,3,3,3,6,6,3,3,6,6,3,3,
6,3,3,6,3,6,3,6,1,3,3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,8,4,4,8,4,4,8,4,8,
8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,24,7,12,16,12,8,6,3,
6,6,24,12,4,12,24,16,12,18,12,24,16,16,16,1,3,12,2,6,12,12,24,6,12,12,12,24,9,
6,6,12,12,12,12,6,24,2,12,12,8,4,16,16,16,3,1,6,6,3,9,12,6,6,6,6,12,3,3,6,6,6,
6,6,3,6,6,12,6,6,12,12,4,8,4,8,4,8,8,16,6,3,6,6,1,6,6,3,3,3,3,6,3,6,6,6,6,4,8,
4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,24,7,12,32,16,12,8,6,3,16,6,6,24,12,4,
48,48,12,24,48,12,18,12,24,16,16,32,16,32,1,12,3,12,12,2,6,12,8,48,12,12,12,
12,24,6,12,12,12,24,36,24,12,12,24,24,9,6,6,12,6,24,24,2,12,8,4,16,16,32,16,
32,1,6,3,6,6,3,6,12,3,3,6,6,12,6,3,6,6,6,24,9,6,6,6,24,12,24,24,6,6,12,12,4,8,
4,8,8,4,8,8,16,8,6,6,6,3,3,6,3,1,3,3,6,6,6,3,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,36,7,24,16,12,36,8,3,12,18,36,4,24,4,12,12,6,12,24,32,32,
16,1,6,9,2,36,24,24,6,12,24,12,24,24,24,24,3,6,6,6,6,24,12,6,2,12,8,4,16,16,
16,3,1,6,3,6,6,6,6,6,6,3,6,3,6,6,12,3,6,6,6,6,6,12,3,6,6,6,12,12,8,8,8,8,4,8,
8,16,3,6,6,3,6,1,3,6,3,3,6,6,6,6,3,6,6,8,4,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,36,7,8,16,12,36,8,3,4,18,36,4,24,12,12,12,6,12,24,32,16,32,1,6,9,2,36,8,
24,24,6,12,24,24,24,24,3,6,6,6,6,12,6,2,24,12,12,8,4,16,16,16,1,3,6,3,3,6,6,6,
6,3,6,3,6,6,6,6,6,12,3,6,6,6,6,6,12,6,6,12,12,8,8,8,4,8,8,8,16,3,6,3,6,6,1,3,
6,6,6,6,3,3,6,3,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,12,7,18,16,6,
4,12,9,4,3,6,18,18,9,12,4,18,36,16,6,6,12,12,12,12,12,12,16,16,16,1,1,3,18,3,
1,3,9,18,6,12,6,12,18,6,6,18,6,6,12,12,12,12,12,12,12,12,12,6,6,6,6,3,3,12,3,
3,6,6,6,12,6,6,6,3,3,6,6,24,24,2,12,6,4,4,4,16,16,16,3,1,6,6,3,3,1,3,12,1,3,3,
12,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,6,3,3,6,6,6,6,3,6,3,6,6,6,6,3,9,3,6,
3,3,3,3,3,6,3,6,6,6,6,6,6,2,6,6,6,12,12,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,16,3,
3,3,3,3,3,3,1,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,
1,1,1,1],[1,6,24,9,8,16,24,32,1,3,4,15,24,12,24,4,24,12,4,24,12,48,32,1,6,3,6,
6,8,6,16,3,8,8,24,4,12,24,24,24,48,6,6,12,6,24,6,24,8,8,4,16,16,16,1,2,1,3,1,
6,6,3,2,12,6,6,12,12,6,6,6,12,24,6,12,6,12,24,24,24,4,8,16,8,8,8,16,1,6,3,6,6,
3,4,12,6,6,6,12,12,8,4,4,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,30,12,7,6,24,16,12,
12,4,12,3,4,3,12,12,12,18,3,12,24,12,4,24,24,12,24,4,18,6,12,12,12,12,12,32,
32,16,1,1,6,6,3,6,6,3,1,6,3,3,6,24,24,6,6,12,24,6,6,6,6,6,6,24,24,24,24,24,24,
24,24,24,24,24,24,24,6,6,9,3,6,3,3,6,6,6,12,6,6,6,3,3,6,2,12,6,4,4,4,16,16,16,
3,3,1,3,3,1,3,1,3,3,3,3,6,6,6,6,6,6,6,6,3,3,6,3,3,6,6,6,6,3,6,3,6,6,6,6,6,3,3,
3,6,6,12,3,3,6,6,3,6,6,6,6,3,6,3,3,6,6,6,6,6,6,12,6,6,2,6,6,6,12,12,6,6,6,6,6,
6,8,8,8,8,8,8,4,4,4,8,16,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,1,3,3,3,3,3,3,3,6,3,
3,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,30,12,7,6,8,16,12,12,4,12,3,4,3,4,12,
12,18,3,12,24,24,12,4,24,12,24,12,18,6,12,12,12,12,12,32,16,32,1,1,6,6,3,6,6,
3,1,6,3,8,3,6,8,24,8,24,6,6,6,6,12,12,6,6,6,6,24,24,24,24,24,24,24,24,6,6,6,9,
3,6,12,3,3,6,6,24,6,6,24,3,3,6,6,24,2,6,4,4,4,16,16,16,1,1,3,1,3,3,6,3,6,3,3,
6,2,6,6,6,6,6,6,6,3,3,3,3,3,6,6,6,6,6,6,3,6,6,6,6,6,6,6,6,3,3,12,6,6,3,3,6,6,
6,3,3,6,12,3,3,12,6,6,6,3,3,6,6,6,12,3,3,6,6,6,6,6,6,6,6,6,8,8,8,4,4,4,8,8,8,
8,16,3,3,3,3,3,3,3,3,6,3,3,6,6,3,3,3,1,3,3,3,6,6,3,6,3,3,3,3,3,6,6,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
4,4,4,3,1,1,1,1],[1,6,12,9,12,24,16,16,1,18,16,3,12,15,12,6,24,4,24,24,12,24,
24,12,12,24,24,24,32,48,3,12,1,6,3,6,3,6,4,8,6,3,6,24,8,24,12,24,12,12,12,24,
12,12,24,12,12,48,48,12,6,12,6,6,6,12,12,24,6,12,6,24,24,8,4,4,4,16,16,16,1,1,
1,3,3,6,3,6,3,6,3,3,2,6,6,12,12,3,6,12,6,6,6,3,6,6,6,12,6,12,6,12,6,6,6,12,12,
12,6,6,12,6,12,6,6,6,6,6,12,6,6,12,24,24,8,8,8,12,4,4,8,8,8,16,3,3,3,3,3,6,6,
6,6,3,6,3,3,3,4,12,6,6,6,3,3,6,6,6,6,6,6,6,6,6,12,12,6,6,4,4,4,4,4,4,4,4,4,8,
1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,6,12,24,9,12,8,16,48,16,48,1,18,
16,3,4,15,12,36,6,24,48,48,4,24,12,24,48,4,12,12,48,32,3,12,1,6,3,6,12,3,6,12,
4,8,36,12,32,48,6,3,12,8,8,48,24,32,4,12,12,12,12,12,24,24,12,12,12,24,24,12,
12,12,24,24,6,6,6,24,6,12,12,12,12,24,24,24,6,12,12,12,8,24,24,4,4,4,16,16,16,
1,1,3,4,1,6,1,6,3,4,1,6,3,6,12,3,6,12,3,4,3,6,12,4,12,12,2,12,6,8,6,12,24,6,6,
6,24,6,6,6,24,6,12,12,12,12,12,12,24,24,12,12,12,24,24,6,6,6,24,6,12,12,12,6,
12,12,12,6,12,24,12,12,12,24,24,12,12,12,24,24,8,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,12,4,4,8,8,8,8,8,8,16,1,6,3,12,6,3,
6,12,3,6,12,3,4,4,12,12,4,12,12,12,12,12,24,24,12,12,12,24,24,12,12,12,24,24,
6,12,24,12,12,12,24,24,6,12,12,12,6,6,6,24,8,24,24,4,4,4,4,4,4,4,4,4,8,8,8,1,
6,3,4,3,6,12,4,12,12,1,4,4,4,8,1,1,1,1,1],[1,6,24,9,24,16,24,32,1,3,12,15,24,
12,24,4,24,12,12,12,24,32,48,1,6,3,6,6,8,6,16,3,8,24,24,24,24,12,24,24,12,24,
12,24,6,12,6,6,6,24,24,8,12,24,8,4,16,16,16,2,1,3,6,3,6,2,3,3,3,6,6,6,6,6,6,6,
6,6,12,24,6,6,6,3,6,6,12,24,24,12,24,12,12,12,12,24,24,24,24,8,4,8,16,8,8,16,
6,3,6,6,3,3,4,12,3,6,3,3,3,6,6,6,6,6,12,12,12,12,12,12,24,8,4,4,4,8,8,8,1,3,3,
6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,12,15,24,16,16,5,12,6,30,36,24,12,6,36,24,32,
48,15,3,4,8,6,6,12,12,6,36,36,24,48,3,12,6,6,18,12,4,8,6,12,4,4,16,16,16,1,1,
1,2,3,3,6,3,6,12,6,18,12,3,6,12,6,18,12,6,6,12,12,8,8,4,8,12,8,4,16,3,6,3,6,3,
3,6,3,6,3,6,3,6,6,4,4,4,4,4,4,4,4,8,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,12,24,
16,5,18,16,30,36,24,18,24,36,32,48,3,12,15,6,6,6,36,36,36,12,48,9,6,12,18,12,
12,6,12,4,4,16,16,16,1,1,3,3,9,9,6,12,18,9,6,12,18,12,6,12,6,12,12,8,8,12,12,
12,16,3,3,6,6,3,9,3,6,3,6,3,6,6,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,15,12,24,16,5,18,16,30,36,24,18,24,36,32,48,3,12,15,6,6,6,36,36,36,12,
48,9,6,12,18,12,12,6,12,4,16,16,16,16,1,1,3,3,9,9,6,12,18,9,6,12,18,12,6,12,6,
12,12,8,16,12,16,3,3,6,6,3,9,3,6,3,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,
1,1],[1,15,12,24,16,5,18,16,30,36,24,18,24,36,32,48,3,12,15,6,6,6,36,36,36,12,
48,9,6,12,18,12,12,6,12,20,16,16,16,1,1,3,3,9,9,6,12,18,9,6,12,18,12,6,12,6,
12,12,24,12,16,3,3,6,6,3,9,3,6,3,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,
1],[1,4,36,8,3,16,4,12,24,16,24,1,6,18,12,12,18,12,24,24,32,16,32,1,3,2,6,6,
12,12,24,48,24,24,18,24,12,3,6,12,12,6,18,6,12,12,16,4,16,16,16,1,1,3,3,3,3,6,
6,6,6,12,12,3,6,6,6,12,12,12,6,12,6,12,12,8,16,4,8,16,1,2,3,6,6,3,3,6,6,6,3,3,
3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,12,15,24,16,5,12,6,30,36,24,
12,6,36,24,32,48,15,3,6,6,12,12,12,6,36,36,24,3,12,12,6,6,18,12,6,12,4,16,16,
16,1,3,1,6,12,3,12,6,3,6,18,3,6,3,12,6,18,12,6,6,12,12,8,12,16,3,6,1,2,3,3,6,
3,6,3,6,6,3,6,6,4,1,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,6,24,9,16,2,24,3,
3,9,12,18,12,12,12,24,32,48,6,6,9,12,12,12,24,24,6,6,6,6,6,12,12,12,6,6,48,12,
24,4,16,16,16,1,12,3,12,6,3,12,3,6,6,12,6,12,12,6,3,12,12,12,12,12,12,8,12,16,
6,3,3,3,6,4,6,12,6,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,6,9,8,16,1,3,4,15,4,
24,12,4,12,12,24,48,32,1,6,3,3,8,8,4,12,6,6,36,6,24,8,8,4,16,16,16,1,1,1,6,6,
2,2,6,6,6,3,6,6,3,6,6,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,
15,20,16,5,30,30,30,16,80,5,15,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,
3,45,20,15,10,1,5,30,45,10,30,15,15,45,30,15,30,10,30,6,10,30,20,30,20,5,15,
15,15,10,30,10,30,30,30,30,30,15,15,15,6,18,18,5,10,10,30,10,20,30,20,10,10,5,
15,15,15,15,15,15,6,18,18,12,12,10,5,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,
10,1,6,5,1,2,2,1,1,1,1],[1,3,45,20,15,10,1,15,15,45,10,30,5,45,45,30,30,10,30,
6,10,30,20,30,20,15,15,45,15,10,30,30,30,30,30,15,15,15,6,18,18,5,10,10,30,10,
20,30,20,10,10,5,15,15,15,15,15,15,6,18,18,12,12,10,15,10,10,10,10,10,10,10,
15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,18,36,24,45,12,8,6,72,48,48,48,15,18,
16,45,4,135,36,36,18,72,72,48,48,180,24,270,72,48,4,36,36,36,24,48,3,12,45,6,
45,18,6,12,90,72,90,9,18,12,12,18,24,24,36,12,32,48,18,135,12,270,8,360,360,
48,24,72,32,72,72,4,36,12,12,12,36,72,24,36,36,12,24,24,36,36,12,72,24,48,96,
72,72,48,72,24,72,48,24,72,48,144,144,18,12,18,18,18,6,24,18,12,36,12,36,24,
24,24,72,48,18,12,12,36,18,72,24,144,48,24,24,24,24,6,1,1,3,4,3,6,45,6,15,180,
9,4,9,36,135,270,36,1,6,36,12,9,6,12,12,9,6,12,12,9,4,18,9,6,12,36,4,12,12,9,
6,36,6,6,12,6,8,6,12,24,6,18,36,12,12,12,12,12,12,36,24,18,36,18,18,18,12,36,
72,6,12,18,12,12,12,36,72,6,12,12,18,36,18,12,24,18,36,24,24,24,6,18,6,24,18,
18,18,6,24,18,12,12,12,18,12,12,36,12,24,24,36,12,36,36,24,24,36,72,72,48,144,
18,6,6,24,12,36,144,18,12,36,12,18,36,12,12,18,36,6,12,24,24,48,18,12,18,36,
12,24,36,36,48,144,12,12,36,24,24,72,36,12,12,24,24,72,48,24,144,8,24,24,24,
24,24,24,72,24,24,24,24,24,24,24,24,24,72,24,24,24,72,24,24,24,72,18,45,3,1,6,
36,9,12,6,18,9,9,9,6,12,9,36,12,36,72,9,6,12,12,9,4,4,12,12,12,6,36,6,6,18,18,
18,12,36,36,6,6,6,6,6,12,36,72,18,18,18,12,6,6,12,12,6,18,18,18,36,18,8,12,12,
24,36,24,6,18,12,12,9,18,36,12,9,18,6,9,3,6,18,6,36,18,36,12,12,9,12,36,12,12,
12,12,12,12,12,24,24,12,12,36,24,24,36,12,12,12,24,24,18,6,6,18,6,12,24,12,12,
12,24,24,18,18,12,12,12,6,6,6,24,18,18,36,12,12,6,6,12,18,18,6,6,12,36,18,18,
12,36,12,8,24,24,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,36,36,36,36,36,
24,36,12,12,12,12,12,12,12,12,24,24,36,36,36,36,12,12,12,12,24,24,12,36,36,12,
1,2,6,3,18,3,4,3,3,6,3,4,3,6,12,3,6,18,3,9,3,4,6,18,18,18,18,6,6,18,9,9,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,9,3,3,9,18,6,18,6,6,4,12,12,12,12,12,4,12,12,
4,12,12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,6,6,6,18,36,18,18,6,18,6,
18,18,36,12,12,24,36,36,12,12,36,36,36,36,24,12,12,12,3,1,3,1,3,6,6,6,6,1,6,
18,2,6,9,9,3,3,3,3,6,3,3,3,3,6,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,18,6,12,12,1,3,3,
3,3,3,3,6,6,1],[1,10,44,24,21,20,24,2,12,24,72,72,48,16,48,3,30,16,9,4,12,39,
44,36,36,22,72,88,72,80,48,36,72,48,66,36,88,80,48,12,28,20,16,20,16,24,16,16,
16,5,12,3,18,7,18,6,20,24,14,24,36,16,72,72,6,12,11,22,36,12,4,18,24,8,36,36,
12,72,72,72,32,48,22,15,36,20,30,12,48,24,32,16,48,48,80,48,24,72,88,32,48,72,
72,72,144,144,12,28,20,16,36,20,20,40,40,20,20,20,24,24,28,20,20,40,24,48,16,
16,16,32,32,32,32,16,16,48,32,24,24,24,32,48,16,24,48,24,40,24,32,48,48,64,32,
16,16,48,32,32,6,12,10,12,8,10,10,18,40,10,12,12,20,20,24,24,40,8,8,24,16,16,
16,32,14,20,12,20,24,6,12,8,16,24,48,48,64,48,32,8,40,24,24,1,3,3,6,4,8,24,72,
72,1,6,3,10,1,6,12,24,11,4,12,9,18,36,36,36,36,144,3,6,12,24,18,36,72,3,10,12,
12,12,5,10,12,4,8,3,6,12,4,4,4,5,4,4,2,4,5,10,12,12,24,4,12,12,3,6,6,12,16,8,
24,2,12,10,8,6,12,24,6,6,4,8,8,8,8,6,12,12,12,12,4,4,8,8,12,12,12,4,8,8,8,8,4,
8,8,8,8,6,6,6,6,12,24,12,12,12,4,4,4,8,8,8,16,16,16,6,6,12,12,6,12,12,12,12,6,
12,4,8,8,16,8,8,8,6,6,6,12,12,12,2,4,4,8,6,12,24,4,4,4,8,8,8,16,16,16,6,4,8,8,
8,8,8,8,8,8,16,10,10,18,40,6,12,10,10,10,24,10,20,12,12,6,12,20,20,20,24,24,
12,24,12,12,20,24,40,12,8,24,16,8,8,24,32,48,48,48,10,18,10,40,12,12,12,48,48,
48,10,12,20,12,24,14,20,20,12,24,6,12,12,12,12,6,12,24,8,8,8,16,16,16,4,8,6,
12,10,12,8,12,12,12,24,48,16,24,8,16,8,24,48,48,64,32,12,12,12,24,24,8,16,20,
12,12,24,40,8,8,24,16,16,16,32,24,48,64,48,48,32,8,24,24,40,24,24,24,24,40,40,
40,24,24,40,40,24,24,24,24,24,24,24,24,24,24,48,24,48,1,2,3,18,18,24,3,10,12,
12,12,3,12,6,2,4,3,6,3,6,5,10,12,3,6,12,24,12,12,12,24,24,24,5,10,12,4,8,5,4,
4,4,12,12,4,4,4,6,12,16,8,24,2,12,2,4,2,4,6,6,6,12,12,12,4,8,4,4,4,12,12,12,2,
4,2,2,2,2,4,6,6,6,6,6,6,6,6,12,6,12,4,4,4,8,8,8,8,16,6,12,24,2,4,2,4,4,4,4,6,
6,6,6,12,6,12,12,12,12,6,6,6,4,8,2,4,4,4,4,4,8,8,16,8,8,8,16,16,16,8,8,8,4,8,
6,6,12,4,8,3,6,6,12,2,4,4,8,12,12,12,3,6,12,2,4,2,2,2,8,8,8,1,2,3,6,6,12,2,4,
6,6,6,12,12,12,4,8,4,4,4,4,8,3,6,12,12,12,12,4,12,20,20,12,12,40,24,12,12,12,
24,24,12,24,12,12,12,12,24,24,2,4,6,6,6,6,12,2,4,6,12,24,12,12,12,24,24,6,12,
12,12,10,10,10,24,6,12,2,4,2,4,4,8,4,4,4,4,4,4,6,6,6,6,6,6,12,12,12,12,12,12,
2,4,2,4,6,12,6,12,4,8,6,12,6,12,12,12,12,4,8,4,8,8,24,24,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
4,8,4,8,8,8,8,4,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,
8,8,8,8,8,12,12,12,8,8,8,4,8,4,8,12,12,12,12,12,12,12,12,12,8,8,8,8,8,8,4,8,4,
8,12,12,12,12,12,12,1,2,6,1,6,1,2,4,8,2,2,2,1,6,5,4,3,6,12,3,1,2,6,6,6,2,4,6,
12,6,12,1,6,1,2,3,6,2,2,2,4,8,6,6,6,2,4,6,6,6,12,1,2,3,6,3,6,1,2,2,2,2,2,4,2,
2,2,2,2,2,2,4,2,4,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,4,3,6,3,6,1,2,3,6,
3,6,1,2,2,2,2,2,4,6,6,6,6,12,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,12,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,2,4,6,
6,6,6,12,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,12,6,12,12,12,12,6,12,2,4,6,6,6,2,4,4,
8,4,8,6,12,6,12,12,12,12,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,4,8,4,8,8,8,8,4,4,4,4,4,4,4,4,4,1,1,2,1,2,2,4,2,2,2,2,4,1,2,2,2,2,1,
1,6,12,6,2,2,2,2,3,6,1,2,1,2,3,6,1,2,1,2,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,
2,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,
2,2,2,4,4,4,4,4,4,1,1,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,2,1],[1,18,60,45,20,6,
12,24,72,120,48,15,30,16,45,4,135,60,36,30,72,120,120,180,270,36,120,60,16,60,
48,5,12,45,45,30,24,90,24,36,120,72,90,15,30,36,12,30,40,24,36,72,72,72,30,
135,36,270,360,360,40,72,120,48,120,72,120,144,144,60,16,60,60,60,72,48,48,96,
120,72,120,120,120,240,48,30,30,30,30,36,24,48,30,36,24,30,72,240,24,24,6,1,6,
8,24,72,72,3,45,15,6,180,15,12,15,18,36,36,60,36,144,135,270,18,60,72,60,9,12,
9,4,18,15,60,15,60,6,6,6,18,36,36,30,60,30,18,30,12,24,36,12,48,18,36,18,24,
24,18,30,60,18,12,24,12,48,18,36,24,24,30,30,30,30,30,60,60,36,60,72,240,60,
240,18,36,24,30,36,24,30,60,24,48,18,30,60,60,60,240,36,72,24,48,240,72,72,72,
72,18,45,5,18,18,24,60,9,18,15,15,15,15,60,60,120,9,4,12,60,10,10,12,30,30,36,
60,36,6,6,6,18,18,18,18,12,24,18,12,24,18,18,18,18,30,30,30,60,30,12,24,24,48,
36,6,18,18,36,9,6,12,18,6,24,9,30,18,36,60,30,60,12,12,15,12,36,12,12,36,36,
18,18,18,18,18,18,36,18,18,36,18,18,36,24,12,12,12,24,12,12,24,12,12,12,24,24,
36,36,36,36,36,36,36,36,36,36,36,36,1,1,2,6,1,6,3,12,6,3,3,18,18,18,3,6,9,6,
12,30,18,30,30,30,6,6,6,18,9,9,6,6,6,6,12,6,6,15,9,15,9,9,18,18,12,12,12,12,
12,12,12,12,18,18,6,12,6,18,36,18,18,18,18,18,36,36,36,36,36,36,36,1,3,5,3,6,
18,9,9,3,3,6,3,3,9,6,6,6,6,6,12,6,18,1,1,1,3,3,3,3,1],[1,18,36,8,45,12,24,6,
12,24,72,72,16,15,18,45,4,12,135,36,36,12,18,72,72,72,48,180,72,48,270,36,72,
48,48,12,36,12,36,72,16,3,45,18,45,18,2,12,24,90,24,36,16,72,72,90,12,9,18,36,
18,24,36,12,72,72,72,18,135,36,12,270,12,48,24,360,16,48,360,48,48,24,72,72,
48,72,72,72,144,144,12,36,12,36,12,36,24,24,36,12,12,36,12,12,16,72,48,24,72,
72,72,48,24,144,72,72,24,48,48,144,48,18,36,18,12,18,6,18,24,18,12,12,24,24,
18,12,18,12,72,48,48,144,48,24,24,6,3,1,6,8,24,72,72,45,6,15,6,180,24,9,12,9,
18,36,36,36,36,144,135,6,270,24,18,36,72,3,6,36,12,12,3,6,4,9,6,36,24,9,6,18,
12,36,24,6,6,6,6,12,12,12,12,12,12,12,18,36,18,18,6,6,18,12,36,12,12,24,18,18,
12,12,6,12,36,36,12,18,12,12,24,6,18,18,12,12,36,18,36,72,72,6,18,18,24,18,12,
6,18,6,18,12,18,12,12,36,12,36,24,12,24,36,24,24,48,48,144,6,18,6,24,12,36,12,
48,48,144,18,12,18,12,12,36,12,6,36,18,12,12,36,36,72,48,36,24,36,24,48,48,
144,12,24,24,72,48,144,48,48,24,24,24,24,24,24,24,48,24,48,18,45,2,3,18,18,24,
3,6,12,12,36,9,6,9,6,9,6,9,6,36,24,12,12,36,72,24,24,3,6,4,18,12,36,24,6,6,18,
18,6,6,6,36,12,12,36,12,12,12,36,6,2,2,6,4,6,6,18,6,6,18,6,18,12,18,12,12,24,
18,18,6,18,12,6,12,12,12,36,6,6,18,18,18,18,36,18,24,72,6,6,12,3,6,18,12,6,12,
12,36,12,9,6,18,12,18,6,18,6,36,12,12,36,18,36,36,9,6,12,12,12,12,12,12,24,12,
24,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,6,12,6,12,6,12,6,12,
12,12,12,24,12,12,12,24,12,12,12,24,12,24,12,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
1,1,2,6,1,6,9,12,3,3,1,2,6,18,6,6,18,12,18,12,9,6,12,18,18,6,6,18,18,18,6,6,6,
6,12,3,6,3,6,6,12,6,6,6,6,6,9,9,6,9,6,3,6,3,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,6,6,6,6,12,6,6,12,6,12,6,12,12,12,12,6,12,6,6,6,6,12,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,3,3,3,2,6,12,6,3,6,3,6,3,3,
6,3,3,9,6,6,6,6,6,6,12,6,6,6,1,1,1,3,3,3,3,1],[1,10,28,16,21,4,16,2,40,32,32,
16,3,6,9,8,39,28,24,14,24,40,16,36,48,16,66,24,16,8,28,8,16,36,32,32,16,1,3,
12,7,10,4,14,24,6,4,7,6,4,8,10,8,16,24,4,16,6,15,30,4,16,32,16,48,8,24,40,24,
8,4,24,12,16,12,8,8,8,4,8,16,8,16,64,32,40,32,8,24,16,32,16,8,32,16,8,8,16,32,
32,48,32,14,16,18,4,10,4,12,10,4,8,8,8,8,8,48,16,16,14,4,24,14,4,32,32,16,16,
96,8,8,8,16,2,2,2,2,3,1,12,3,5,12,3,2,12,12,2,20,4,2,8,2,2,4,4,4,8,5,20,4,7,2,
8,4,24,2,2,2,2,2,2,4,8,2,4,4,4,8,4,4,8,8,16,4,8,16,8,4,2,6,12,8,8,4,4,16,8,8,
8,4,8,4,4,8,8,4,16,8,8,2,4,8,4,8,10,12,4,12,4,4,8,16,4,12,8,16,8,8,8,2,12,6,4,
4,2,6,4,6,8,4,8,4,4,8,8,12,32,8,24,32,4,12,4,4,16,32,4,4,2,6,4,4,4,4,2,8,16,
16,10,2,8,2,4,4,4,8,16,16,16,8,8,16,4,4,8,8,32,8,8,24,16,16,16,16,16,8,8,8,8,
24,8,8,8,16,24,8,16,8,8,8,16,16,16,16,1,1,2,4,4,2,2,8,1,2,3,1,1,8,4,8,2,4,4,4,
4,4,4,4,4,2,4,4,4,4,4,4,4,4,8,2,6,4,4,4,4,4,4,4,8,2,4,4,4,8,8,8,8,2,2,2,2,4,4,
8,4,8,6,4,2,2,2,4,4,6,2,4,8,4,8,4,12,4,4,4,5,4,4,4,12,4,8,4,4,4,2,2,2,2,4,6,2,
4,2,4,4,4,4,4,8,4,2,4,2,4,4,2,4,8,4,2,2,2,2,4,8,4,4,8,4,4,8,4,8,16,4,4,8,4,8,
8,8,4,8,4,8,4,4,8,8,8,8,8,4,8,4,8,8,4,4,4,4,4,4,8,4,4,4,16,8,4,4,4,4,4,4,8,4,
4,4,4,8,8,4,4,4,4,8,8,8,8,8,8,8,8,8,16,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,4,
2,2,2,2,4,2,2,2,4,2,2,4,4,2,2,1,2,2,2,2,2,2,2,2,4,4,4,4,8,8,4,4,4,4,8,4,8,2,2,
2,6,2,2,2,4,4,4,2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,8,2,
2,2,2,1,1,1,2,2,2,2,1,1,2,2,2,2,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
18,36,45,12,16,6,72,48,15,18,16,45,8,135,36,18,72,72,180,48,16,270,72,16,8,36,
36,16,48,16,3,12,45,12,45,18,90,72,90,4,9,18,12,18,24,24,18,135,270,4,16,360,
16,360,24,72,72,72,8,36,24,36,36,36,72,72,72,8,72,48,72,16,8,96,48,72,8,32,16,
144,32,18,24,18,4,8,18,12,18,36,8,16,18,36,18,4,72,16,48,16,16,144,24,24,8,16,
6,1,2,3,45,15,180,9,9,36,135,2,270,36,2,36,4,9,4,9,18,4,9,36,9,2,12,4,36,6,6,
2,6,2,18,36,2,4,4,4,36,8,8,18,36,18,2,18,4,4,8,16,12,4,4,24,2,12,4,24,18,4,36,
8,18,4,8,16,18,4,8,36,48,48,18,12,18,4,18,18,18,36,36,36,36,72,8,144,12,36,4,
16,144,18,36,18,36,18,4,4,36,4,18,2,24,18,4,8,4,36,24,48,16,36,36,144,36,72,
48,16,144,16,72,72,72,8,16,72,8,16,8,8,8,16,16,16,16,18,45,3,2,4,36,9,18,9,2,
9,9,9,36,36,72,9,12,4,36,6,6,18,18,2,4,36,4,4,6,4,18,18,18,4,12,4,4,24,2,12,
18,18,18,36,18,4,16,36,48,6,18,2,2,9,18,2,8,9,2,6,12,18,2,4,36,18,36,24,9,12,
36,12,12,36,36,4,8,4,18,2,18,18,18,2,4,18,18,36,4,4,2,2,4,4,18,4,18,4,36,18,
18,2,2,36,4,4,4,8,4,4,4,4,8,4,8,4,8,4,8,36,36,36,36,36,8,36,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,36,36,36,36,4,4,36,4,36,4,8,8,8,8,8,8,8,8,8,16,1,2,6,6,8,2,3,3,1,3,
9,6,8,18,2,18,18,18,6,6,18,9,9,1,1,2,1,2,2,2,2,2,4,2,9,9,9,2,9,18,2,18,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,18,18,2,2,2,4,18,36,18,2,18,18,18,18,36,4,4,2,2,2,36,36,
4,4,36,36,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,3,1,2,1,6,
18,1,9,9,2,1,1,1,1,2,1,2,2,2,2,4,2,2,18,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,10,52,8,21,12,24,2,12,24,72,88,16,32,3,18,9,4,12,39,
52,36,12,26,72,72,88,48,36,72,48,66,36,72,48,48,12,20,28,28,24,16,32,3,3,18,7,
22,2,12,24,14,24,36,16,72,72,6,12,13,18,36,8,22,24,16,36,12,72,72,72,18,15,36,
12,30,12,48,24,32,16,48,48,48,48,24,72,72,48,88,72,72,144,144,12,12,12,36,12,
20,24,24,20,12,12,12,12,12,16,32,32,64,48,40,48,24,40,24,48,48,24,48,24,24,24,
80,48,64,32,10,12,14,12,6,14,18,24,6,8,12,28,24,16,24,32,10,12,10,12,32,24,48,
48,64,48,8,24,24,16,3,1,6,8,24,72,72,2,3,6,1,6,12,24,9,12,11,18,36,36,36,36,
144,3,6,12,24,18,36,72,3,6,12,12,12,7,6,4,2,8,8,3,6,12,24,5,6,6,12,16,24,2,6,
6,2,6,2,4,6,12,12,12,20,12,12,12,8,8,8,4,6,10,6,2,12,12,12,8,4,16,32,6,6,12,
12,10,12,12,12,12,6,20,4,16,16,16,6,6,6,20,12,12,6,4,4,8,8,32,4,12,8,16,16,6,
6,18,24,10,12,6,6,6,10,12,10,12,12,12,12,12,24,8,12,24,20,32,24,48,48,64,6,18,
6,24,20,12,12,48,48,64,4,6,12,10,12,12,12,12,8,16,32,10,6,12,6,12,12,12,12,24,
48,24,24,16,24,48,48,48,8,32,12,24,16,32,24,48,48,48,48,24,24,24,24,24,24,24,
24,48,24,24,48,8,8,8,16,16,16,16,1,2,3,18,18,24,3,6,12,12,12,2,8,3,6,5,6,3,6,
3,6,16,24,12,12,12,24,24,24,3,6,8,6,12,12,24,4,6,6,6,12,12,12,4,12,12,12,2,2,
2,2,4,6,6,6,6,6,6,10,6,12,6,12,8,16,2,6,4,6,6,6,6,12,10,12,12,12,12,6,6,6,4,4,
8,4,4,16,16,32,8,2,2,6,6,12,5,6,6,12,2,8,12,12,12,4,4,16,2,3,6,6,12,2,6,6,6,
12,12,12,4,8,8,3,6,12,12,12,12,4,12,12,24,12,12,24,12,6,6,6,6,12,2,6,6,6,6,6,
12,2,4,4,6,10,6,6,6,6,12,12,12,12,12,12,2,10,12,6,12,4,4,2,2,6,12,6,12,12,12,
12,4,4,12,8,8,4,4,4,4,4,4,4,8,8,8,4,8,4,4,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,20,12,8,4,4,4,4,12,12,12,8,4,4,12,12,12,12,12,12,12,12,12,12,12,
12,4,12,12,12,4,8,8,8,8,8,8,8,8,8,16,1,2,6,2,8,2,4,1,3,3,1,2,6,6,6,6,12,6,12,
2,3,6,4,8,2,6,6,6,6,6,6,12,1,3,6,3,6,1,3,2,2,2,2,4,2,2,3,6,3,6,3,6,5,6,2,2,6,
6,6,6,12,2,4,4,4,4,4,4,4,4,4,4,4,4,2,6,6,6,6,12,2,2,4,6,12,6,12,12,12,12,6,12,
6,6,6,2,4,4,6,12,6,12,12,12,12,2,2,2,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,2,1,1,
2,6,12,6,3,6,1,3,6,2,1,1,1,1,2,1,2,2,2,4,2,2,2,6,6,6,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,10,52,16,21,12,2,12,24,72,88,32,32,16,3,
18,9,4,39,52,36,24,26,72,72,88,16,36,66,36,72,20,8,28,16,48,32,32,16,3,3,7,22,
4,24,14,24,36,72,72,6,13,18,36,4,8,22,24,16,36,24,4,72,72,72,16,18,15,36,30,
32,48,24,72,72,48,88,72,72,144,144,12,20,16,20,8,8,8,12,8,16,8,16,16,32,64,32,
64,48,40,16,32,32,40,48,16,24,64,32,16,48,10,24,14,8,6,4,6,4,8,8,8,8,8,16,48,
16,16,32,10,4,10,32,16,48,64,8,8,2,6,8,24,72,72,2,2,3,1,6,12,9,12,11,18,36,36,
36,36,144,3,12,18,36,72,12,2,8,2,2,8,4,4,8,4,3,12,4,5,12,16,2,2,2,2,4,4,4,8,8,
16,8,8,4,6,2,8,12,8,4,16,8,16,16,32,12,6,8,12,6,16,16,16,16,8,8,6,12,6,4,4,4,
4,8,4,16,32,16,16,4,4,12,8,16,16,8,16,16,24,24,6,10,4,6,10,4,10,8,12,8,12,4,8,
8,20,32,16,24,64,4,12,64,4,4,6,10,12,2,8,16,16,8,32,16,16,10,8,6,12,24,8,16,
48,4,4,8,8,32,16,8,8,16,8,24,16,16,32,48,8,8,8,8,24,8,8,24,1,3,18,18,24,12,2,
2,8,4,3,5,3,3,16,12,24,2,4,4,4,8,4,12,4,4,12,4,4,12,2,2,4,6,4,6,6,6,4,4,8,8,
16,16,2,6,4,4,4,6,6,4,4,4,8,8,8,16,16,8,16,8,16,32,16,8,8,2,2,4,6,8,4,12,4,4,
4,2,2,8,16,8,2,2,6,2,6,12,4,4,8,4,8,8,12,3,4,4,4,12,4,4,2,2,2,4,6,2,4,4,8,4,2,
4,8,4,2,2,4,4,12,4,4,8,32,12,4,4,4,24,4,4,4,4,4,4,8,4,8,8,12,12,4,8,4,8,4,8,4,
8,4,16,8,8,4,4,8,8,4,4,1,2,2,8,8,1,3,4,2,2,1,1,6,2,6,6,2,2,2,4,2,8,8,2,6,1,1,
2,2,2,2,2,4,1,1,2,2,6,2,6,8,6,3,3,2,2,2,2,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,2,2,2,
2,2,4,2,2,2,4,4,8,4,4,8,4,4,8,4,4,8,2,2,1,2,2,1,1,2,2,3,1,1,3,2,2,2,2,2,2,2,2,
4,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,18,12,16,45,4,16,6,24,32,16,15,6,45,8,135,12,
24,6,24,24,16,180,48,16,270,24,16,8,12,24,16,12,48,32,48,1,45,12,45,6,4,90,24,
90,4,3,6,4,6,8,24,4,16,6,135,270,4,16,360,16,360,8,24,24,24,8,12,24,12,48,12,
24,8,8,12,24,8,32,32,24,8,24,48,24,16,8,96,48,24,8,16,48,32,96,32,6,24,6,4,6,
12,12,6,4,24,8,8,24,48,16,48,6,4,24,6,4,48,16,16,48,8,8,6,2,2,2,45,15,180,3,3,
12,135,2,270,12,2,12,4,6,8,2,12,4,4,3,12,4,3,2,12,4,12,2,2,2,8,2,4,4,4,4,4,8,
8,6,8,12,6,12,2,6,12,4,12,24,48,8,12,4,12,4,24,24,24,48,2,12,4,24,6,12,12,4,
12,8,8,8,8,24,48,48,6,12,6,4,12,6,6,4,6,12,8,12,4,24,12,8,48,48,12,12,12,4,16,
48,4,6,6,4,4,12,4,2,8,8,16,2,24,6,4,4,12,24,48,16,12,12,8,48,4,4,8,24,8,48,16,
48,16,48,16,8,8,8,8,8,8,8,16,8,16,18,45,1,2,4,12,2,3,2,3,3,3,12,12,24,6,8,4,4,
12,4,12,2,2,6,6,4,12,2,4,12,24,4,4,4,24,48,4,4,4,12,4,4,24,2,12,6,6,6,12,6,16,
4,4,8,48,2,2,4,6,12,24,6,6,2,6,12,6,2,4,12,6,12,4,12,24,3,4,4,4,8,4,4,4,2,2,2,
4,2,4,4,4,4,4,4,4,2,2,4,4,4,2,2,4,4,4,12,12,4,8,4,4,4,8,8,24,4,4,4,4,12,4,4,
12,24,4,8,4,8,8,8,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,8,8,4,4,1,1,3,2,12,6,8,1,1,2,
12,6,8,2,6,2,6,6,6,1,1,1,1,6,2,2,2,6,2,2,6,2,2,6,2,4,2,3,3,2,2,2,2,2,2,4,4,8,
4,4,4,4,4,4,4,4,4,8,4,2,2,2,2,2,2,4,2,2,4,4,8,4,4,8,4,4,8,4,4,8,2,2,1,2,2,1,1,
2,2,1,3,3,1,2,2,2,2,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,18,36,16,45,12,6,
12,24,72,72,32,16,15,18,45,4,135,36,36,24,18,72,72,72,16,180,270,36,72,36,24,
36,16,32,16,3,45,45,18,4,24,90,24,36,72,72,90,9,18,36,4,18,24,36,24,4,72,72,
72,16,18,135,36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,48,36,24,8,8,
36,24,8,32,16,32,32,72,16,32,72,72,16,72,144,16,96,18,18,8,18,12,18,4,24,8,8,
8,48,16,16,18,4,18,16,144,8,16,6,2,6,8,24,72,72,2,45,15,6,180,9,12,9,18,36,36,
36,36,144,135,270,18,36,72,36,6,8,2,4,4,4,9,36,4,9,36,2,4,4,8,18,36,8,18,18,
12,18,36,4,24,48,16,16,18,12,36,18,24,16,8,48,18,18,4,36,4,4,8,16,16,4,8,8,8,
16,18,18,12,18,18,4,18,36,8,36,4,24,36,16,48,144,12,36,144,4,18,18,36,2,8,8,8,
16,16,8,18,36,36,8,36,144,4,4,8,16,24,8,8,48,16,16,144,8,8,8,8,8,8,8,8,8,18,
45,3,18,18,24,36,2,4,9,9,9,9,36,36,72,6,8,4,4,4,36,6,6,18,4,18,12,36,36,24,36,
6,4,6,18,18,18,18,24,4,48,16,4,4,18,18,18,18,18,36,18,4,4,4,16,8,8,16,16,8,4,
6,18,12,24,36,4,2,2,8,8,2,18,18,36,36,18,36,4,4,8,9,4,4,4,4,2,2,4,4,4,4,4,24,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,4,4,4,4,8,8,4,4,8,1,1,2,8,2,12,2,2,1,
2,18,12,18,18,2,2,2,8,18,18,18,18,18,6,1,1,1,2,2,2,2,1,1,2,2,9,9,9,2,2,4,4,4,
4,4,4,4,4,2,2,2,2,2,2,8,2,2,2,8,4,4,4,4,4,4,4,4,8,8,2,2,3,3,1,2,2,1,1,1,9,2,2,
2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,18,12,8,45,4,8,6,24,16,15,6,45,4,
135,12,12,6,24,24,16,180,24,270,24,16,4,12,12,16,12,16,24,16,48,16,1,45,6,45,
6,2,4,90,24,90,3,6,6,8,12,6,135,4,270,8,360,360,16,8,24,24,24,4,12,4,12,4,12,
24,8,12,12,4,12,12,4,16,24,16,24,24,24,48,24,24,16,48,48,6,12,6,8,6,6,6,8,6,4,
12,8,8,24,24,16,48,32,6,4,24,6,16,24,48,16,32,8,16,6,1,1,45,2,15,180,3,3,12,
135,270,12,1,2,12,4,3,2,4,8,12,4,4,4,3,2,12,3,6,12,8,2,8,8,4,4,4,8,8,4,6,12,8,
6,6,6,12,4,12,4,12,24,16,6,4,6,12,4,4,12,24,8,24,6,4,12,6,4,12,12,12,4,16,4,
24,24,24,2,6,6,8,6,6,6,2,6,4,6,4,4,12,4,12,12,8,12,24,16,48,6,6,2,8,4,12,48,6,
4,6,12,12,6,12,12,24,12,12,16,48,12,8,24,24,48,8,8,8,8,8,8,8,8,8,18,45,1,1,2,
12,3,3,3,2,3,12,4,12,24,3,2,4,6,12,2,2,6,6,6,4,12,12,2,2,2,2,4,12,24,6,2,4,12,
6,6,6,6,12,6,8,24,4,3,6,4,12,4,6,6,2,8,2,3,6,6,4,2,12,6,12,12,12,3,4,4,8,4,2,
4,2,2,2,2,2,4,2,2,4,4,4,4,4,12,12,8,4,4,4,4,4,4,4,4,24,12,4,12,24,4,4,4,4,4,4,
4,4,4,4,4,4,8,8,4,4,4,4,8,8,4,4,8,1,1,3,1,6,3,4,2,1,1,2,6,3,4,6,6,6,6,2,1,2,6,
2,6,4,6,1,1,6,2,2,2,2,2,2,4,3,3,1,1,2,4,4,4,4,2,2,2,2,2,2,2,2,4,4,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,3,3,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,10,44,21,20,2,12,24,72,72,16,3,30,16,9,4,39,44,36,22,72,88,72,36,66,
36,88,28,16,16,20,48,32,16,5,12,3,7,18,24,14,24,36,72,72,6,11,22,36,4,18,24,8,
36,72,72,72,22,15,36,30,32,48,24,72,88,48,72,72,72,144,144,28,16,20,20,28,40,
48,16,32,32,16,24,32,40,64,16,6,24,10,10,8,10,12,16,8,48,32,16,14,20,24,6,8,
48,64,32,8,16,1,6,8,24,72,72,1,3,1,6,12,11,12,9,18,36,36,36,36,144,3,12,18,36,
72,12,8,4,8,3,4,8,5,4,2,5,12,3,12,16,2,4,8,8,8,8,8,4,4,8,6,4,6,12,24,12,4,16,
16,16,12,6,4,12,8,6,16,8,8,16,6,12,2,4,6,12,24,8,4,16,6,8,8,8,24,24,10,6,10,
10,6,20,12,12,12,8,48,12,48,10,20,24,14,20,24,6,12,8,16,4,10,12,16,16,64,12,8,
8,16,64,24,24,8,8,8,1,3,18,18,24,12,3,2,3,3,5,3,12,12,24,5,4,4,16,2,12,2,2,12,
4,12,2,2,2,6,6,6,6,4,8,6,12,24,2,2,6,6,4,2,4,8,8,16,8,4,2,6,8,8,12,3,6,12,2,2,
4,8,1,6,2,6,4,12,4,4,4,12,3,4,12,2,4,4,6,2,2,4,2,2,4,4,16,4,4,24,16,4,24,4,8,
8,4,8,4,4,12,12,8,8,4,4,4,4,4,4,4,8,4,4,8,8,16,4,4,8,1,1,6,1,4,1,2,3,2,1,6,6,
6,1,6,1,2,4,6,2,1,2,2,1,1,2,4,2,4,2,4,2,6,8,6,6,3,3,1,1,2,4,4,4,4,2,2,2,2,2,2,
2,2,4,4,2,2,2,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,1,3,1,1,3,2,2,1,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,10,20,24,21,12,8,2,24,48,16,48,3,18,16,9,4,39,20,
36,10,40,24,48,48,36,24,66,40,48,4,36,20,28,40,16,32,3,12,3,6,7,6,6,12,14,24,
6,5,10,12,4,6,8,8,36,12,32,48,10,15,12,30,8,32,48,48,8,40,32,24,24,4,20,12,12,
12,12,40,24,12,20,12,24,24,20,20,12,40,24,16,32,16,16,16,8,8,16,16,8,24,16,32,
48,10,20,14,14,10,6,24,14,12,12,12,20,24,24,24,16,24,16,32,18,12,12,20,10,8,
40,96,16,8,24,24,16,1,1,3,4,1,6,3,6,1,12,5,4,3,12,3,12,12,1,6,20,4,5,6,12,4,3,
6,12,8,4,5,4,2,7,6,12,20,4,12,12,5,10,24,2,12,6,8,6,12,24,4,8,4,4,4,4,4,4,4,8,
8,16,4,4,6,10,4,8,8,4,8,10,4,4,6,4,8,4,4,4,4,16,8,4,10,4,4,6,12,6,4,8,8,6,8,8,
16,16,16,6,6,6,24,2,10,6,6,24,6,12,12,12,2,4,12,12,12,24,24,4,12,12,20,24,24,
4,8,24,16,16,10,6,6,24,4,4,16,10,12,20,12,10,20,12,12,2,4,6,12,24,8,16,4,4,6,
4,4,8,8,8,16,32,12,12,12,24,24,8,20,12,12,24,24,24,16,8,32,8,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,8,8,8,1,1,1,6,4,3,12,6,
2,1,1,3,6,12,1,4,4,4,8,5,6,12,4,5,4,4,12,12,4,2,8,2,2,2,6,4,4,4,2,2,2,2,2,4,4,
8,6,2,2,4,2,2,4,4,2,4,2,4,4,8,8,4,4,4,3,4,2,4,4,8,3,2,4,2,1,5,2,6,4,2,8,12,4,
8,4,8,8,5,4,12,12,12,12,12,24,24,12,12,12,24,24,12,12,12,24,24,2,2,2,6,12,24,
12,12,12,24,24,6,12,12,12,6,6,6,24,2,2,4,4,4,2,2,4,2,2,2,2,4,4,4,4,8,8,24,24,
12,4,4,4,8,4,8,12,4,8,4,8,4,4,4,4,4,4,8,8,4,8,4,8,8,8,4,4,8,4,4,4,4,4,4,4,4,4,
8,8,4,4,4,4,8,4,4,4,4,4,4,8,8,4,4,4,4,8,2,2,1,6,3,4,3,6,12,1,2,2,1,1,1,2,2,2,
1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,4,2,4,6,2,2,2,2,2,1,1,1,1,1,2,2,2,2,4,4,4,4,4,
12,12,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,4,4,4,4,2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,
4,4,4,4,4,4,8,4,4,4,4,8,8,8,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,10,20,21,12,16,2,24,16,3,18,16,9,8,39,20,10,
40,24,36,48,16,66,40,16,8,36,16,28,16,32,32,32,16,3,12,3,12,7,6,14,24,6,4,5,
10,4,6,8,8,10,15,30,4,16,32,16,48,8,40,24,24,8,20,24,12,12,20,40,16,16,8,8,16,
16,16,8,32,16,24,8,32,16,32,32,10,16,14,4,8,14,8,12,14,12,16,8,16,48,16,32,32,
18,20,10,4,8,16,32,16,16,96,32,8,8,1,2,1,3,1,12,5,3,12,3,2,12,12,2,20,8,4,4,8,
3,8,8,4,5,2,4,7,20,5,2,8,4,24,2,2,2,4,8,2,4,8,8,8,8,4,4,4,8,8,8,16,4,4,4,2,10,
8,4,8,4,16,16,8,16,8,4,4,4,4,8,8,8,4,16,16,16,2,4,8,4,8,6,4,12,8,6,8,8,4,8,16,
6,4,8,8,16,8,8,6,12,2,4,6,6,2,12,4,12,4,8,8,16,12,4,4,16,16,10,20,10,20,2,4,4,
4,4,4,2,8,6,4,8,4,4,8,16,16,8,8,32,12,8,16,16,32,16,24,24,8,16,8,16,1,1,2,4,4,
3,2,1,2,1,3,1,4,4,8,5,4,4,8,2,2,2,2,4,4,4,4,2,4,6,2,2,4,4,4,4,8,2,4,4,2,4,8,4,
2,2,2,4,8,8,8,3,2,4,4,2,8,1,2,4,4,6,2,4,4,8,4,12,4,8,8,4,5,4,12,4,8,4,2,4,2,4,
6,2,4,2,2,4,4,4,2,2,4,4,2,4,2,4,2,2,4,8,8,8,4,4,8,8,4,8,8,4,8,4,4,8,8,4,4,4,8,
8,4,4,8,8,8,8,4,8,8,8,4,4,8,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,8,16,4,4,2,1,2,
1,2,1,1,1,1,2,2,2,2,1,1,2,2,1,1,2,4,4,2,4,1,2,1,2,2,2,4,4,2,4,4,2,4,2,2,1,1,2,
1,2,2,2,2,4,4,4,4,4,4,4,4,2,2,6,2,2,2,4,4,2,2,4,2,2,4,4,4,4,4,4,4,4,8,4,4,4,4,
1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,
28,8,21,4,8,2,40,16,32,3,6,9,4,39,28,12,14,24,40,16,36,24,66,24,16,4,28,28,16,
36,16,40,16,16,16,1,3,6,7,10,2,4,14,24,6,7,6,8,10,8,16,12,6,15,4,30,8,32,48,
16,8,24,40,24,4,4,4,12,4,12,24,8,12,12,4,4,12,4,16,32,32,40,16,24,8,32,16,8,8,
48,32,14,20,18,8,10,14,6,8,10,8,4,28,8,8,8,24,16,16,32,14,4,24,14,32,16,40,96,
16,32,8,8,1,1,2,3,2,1,12,3,5,12,3,12,12,1,2,20,4,7,2,4,8,2,4,4,4,8,4,5,2,20,7,
10,24,8,2,2,2,2,4,8,8,4,4,12,8,8,4,8,8,4,16,8,8,4,10,6,12,4,8,4,4,4,16,16,10,
4,4,10,4,8,4,4,12,4,8,8,16,4,10,12,4,10,4,12,4,12,4,4,8,16,4,4,12,8,8,16,16,2,
2,6,8,6,6,2,2,6,4,6,4,4,4,4,4,8,12,8,12,32,16,32,6,6,2,8,12,4,32,4,2,4,6,4,8,
10,4,2,4,4,8,16,8,16,16,8,32,12,8,8,16,8,8,8,8,8,8,24,24,1,1,1,2,4,2,8,1,3,1,
2,1,8,4,4,8,3,2,2,4,4,6,4,4,2,2,2,6,4,2,6,4,2,6,4,4,2,4,4,4,4,8,2,2,4,5,4,2,4,
8,4,8,6,4,2,2,8,2,2,5,2,6,4,4,2,8,8,4,12,4,8,5,4,4,4,8,12,4,2,4,2,6,2,2,2,2,4,
4,6,2,4,2,6,2,4,4,2,2,4,8,8,8,4,4,4,12,8,8,8,4,4,4,8,4,4,4,4,4,8,4,8,4,4,4,4,
8,4,8,4,8,4,8,4,8,4,4,4,4,4,4,4,4,12,8,8,8,4,8,4,4,4,4,4,8,8,4,4,1,1,2,2,2,1,
1,1,2,2,1,2,2,2,1,1,2,1,3,4,2,2,2,4,2,4,1,1,2,2,2,2,4,4,2,2,4,2,2,2,1,1,3,2,2,
2,2,4,4,4,4,4,4,4,4,2,2,6,2,2,2,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
2,1,1,2,2,2,2,1,1,1,1,2,1,1,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,18,45,
64,48,6,15,45,135,180,270,144,45,45,90,90,135,270,360,360,64,96,240,24,36,48,
6,45,15,180,135,270,36,72,72,18,45,48,24,3,60,24,36,1,9,12,1,3,1],[1,18,45,64,
48,6,15,45,135,180,270,144,45,45,90,90,135,270,360,360,64,96,240,24,36,48,6,
45,15,180,135,270,36,72,72,18,45,48,24,3,60,24,36,1,9,12,1,3,1],[1,6,36,9,12,
16,96,2,12,24,72,72,3,18,3,4,9,36,36,18,72,72,72,18,36,72,96,48,3,18,24,6,24,
36,72,72,9,18,36,18,24,36,72,72,72,18,9,36,24,72,72,48,72,72,72,144,144,64,8,
12,40,24,192,8,48,64,16,32,6,8,24,72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,
72,12,24,24,24,24,24,48,3,18,18,24,32,16,4,24,1,2,24,32,8,24,8,8,12,1,3,6,4,8,
1,1,2,1],[1,15,12,16,96,5,18,16,30,18,96,48,3,12,15,36,9,12,64,20,4,40,80,48,
32,16,1,1,3,3,9,9,9,12,12,24,12,3,3,9,16,32,1,4,5,4,4,8,12,12,1,3,3,4,4,1,1,1,
1,1],[1,15,12,48,16,24,5,18,30,72,72,18,72,16,64,96,24,48,48,3,15,18,12,18,72,
72,36,36,9,18,36,36,18,16,20,10,12,8,24,48,48,24,1,9,36,9,18,36,36,18,36,16,
16,16,12,48,12,36,12,6,12,24,3,12,9,9,18,8,16,1,1,2,12,12,6,6,9,8,1,4,3,3,3,6,
1,3,3,1,1,1,1],[1,6,48,9,12,16,24,2,36,3,18,3,9,36,72,18,18,36,36,64,16,96,24,
48,48,3,3,6,18,9,9,18,18,18,18,18,36,36,36,36,9,9,18,18,18,9,18,18,16,8,12,10,
12,8,24,48,48,24,1,9,9,9,18,9,18,9,18,9,18,18,18,18,18,16,16,16,12,12,24,24,
36,12,12,6,24,3,3,9,9,9,9,9,8,16,1,1,2,12,6,12,6,9,8,1,3,1,3,3,3,6,1,3,3,1,1,
1,1],[1,18,18,3,18,42,4,36,1,18,16,3,3,9,9,18,18,36,36,18,72,18,18,72,36,3,9,
12,36,18,12,12,4,28,120,12,36,24,3,12,9,9,9,9,9,36,18,18,18,18,6,18,24,3,9,12,
9,9,18,36,18,18,36,18,18,18,18,72,18,18,36,9,18,9,9,18,18,18,36,16,1,1,8,32,
12,12,4,4,36,12,24,12,12,12,36,24,12,12,12,12,1,3,3,9,3,3,9,9,9,9,9,9,9,9,9,
18,9,9,9,9,18,9,9,18,9,9,18,9,9,9,9,18,18,36,18,18,36,16,16,16,1,1,3,3,6,6,24,
48,3,3,6,6,4,4,12,12,12,12,12,12,12,12,12,12,12,12,3,3,9,9,9,9,9,9,9,9,9,9,9,
9,9,4,4,16,2,1,1,3,3,3,3,3,3,6,6,3,3,6,6,3,3,3,3,12,12,9,4,4,4,4,4,4,6,1,1,3,
3,3,3,3,3,3,3,3,3,3,3,1,4,4,3,3,1,1,1,1],[1,18,60,45,20,6,120,15,30,45,135,60,
30,120,120,180,270,120,60,60,16,5,45,45,30,90,120,90,15,30,30,40,30,135,270,
360,360,40,120,120,120,60,60,60,60,120,120,120,120,240,30,30,30,30,30,30,240,
16,48,48,6,45,15,180,15,15,60,135,270,60,60,15,60,15,60,30,60,30,30,30,60,30,
30,30,30,30,60,60,60,240,60,240,30,30,60,30,60,60,60,240,240,16,48,48,18,45,5,
60,15,15,15,15,60,60,120,60,10,10,30,30,60,30,30,30,60,30,30,60,30,60,15,16,1,
30,30,30,30,15,15,1,5,1,3,3,1,3,3,1],[1,6,20,25,20,5,30,15,15,20,10,40,60,60,
40,20,40,80,16,5,10,20,5,10,10,15,30,60,20,40,20,20,20,40,20,80,40,10,20,40,
80,10,10,40,40,16,16,16,1,5,15,15,20,5,10,5,10,15,20,10,20,20,10,10,20,20,20,
10,10,40,40,20,20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,5,5,5,
10,10,1,5,1,1,1,1,2,1],[1,6,20,25,20,5,30,15,15,20,10,40,60,60,40,20,40,80,16,
5,10,20,5,10,10,15,30,60,20,40,20,20,20,40,20,80,40,10,20,40,10,10,80,40,40,
16,16,16,1,5,15,15,20,5,10,5,10,15,10,20,20,20,10,10,20,20,20,10,10,40,40,20,
20,20,16,32,1,5,10,5,5,5,5,10,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,
1,2,1],[1,3,45,15,4,90,1,15,15,45,5,45,45,6,10,30,30,60,15,15,45,40,6,18,18,1,
20,60,60,25,20,20,10,30,30,24,5,40,6,18,18,15,15,10,24,10,20,6,5,5,5,5,1,6,10,
3,6,5,4,1,1],[1,18,36,45,12,64,6,72,48,15,18,16,45,135,36,18,72,72,180,270,72,
36,36,192,3,12,45,45,18,90,72,90,9,18,12,18,24,24,18,135,270,360,360,24,72,72,
72,36,36,36,36,72,72,72,72,72,72,144,18,18,18,18,36,18,36,18,72,144,24,24,48,
16,32,48,64,6,1,3,45,15,180,9,9,36,135,270,36,36,9,9,18,9,36,9,36,6,6,6,18,36,
36,18,36,18,18,18,36,18,18,36,18,18,18,18,18,36,36,36,36,72,144,36,144,18,36,
18,36,18,36,18,18,36,36,36,144,36,72,144,72,72,72,72,48,48,48,96,96,96,96,96,
18,45,3,36,9,18,9,9,9,9,36,36,72,9,36,6,6,18,18,36,6,18,18,18,18,18,18,36,18,
36,6,18,9,18,9,18,36,18,36,9,12,36,12,12,36,36,18,18,18,18,18,18,36,18,18,36,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,48,48,96,96,1,2,6,3,3,3,
9,18,18,18,18,6,6,18,9,9,9,9,9,9,18,18,18,18,18,36,18,18,18,18,18,36,36,36,36,
36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[1,18,36,45,12,64,6,12,
24,72,72,15,18,45,4,135,36,36,18,72,72,72,180,270,36,72,36,36,192,3,45,45,18,
24,90,24,36,72,72,90,9,18,36,18,24,36,72,72,72,18,135,36,270,360,360,24,72,72,
48,72,72,72,144,144,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,32,192,
48,64,64,6,6,8,24,72,72,45,15,6,180,9,12,9,18,36,36,36,36,144,135,270,18,36,
72,36,9,36,9,36,18,36,18,18,18,36,18,36,18,18,18,36,18,18,18,18,18,36,36,36,
144,36,144,18,18,36,18,36,36,36,144,144,48,96,96,18,45,3,18,18,24,36,9,9,9,9,
36,36,72,36,6,6,18,18,36,36,36,6,6,18,18,18,18,18,18,18,18,18,36,18,18,36,18,
18,36,36,18,36,9,24,4,24,24,32,32,48,1,1,18,18,18,18,18,18,18,18,6,9,9,9,12,
24,24,3,3,9,1,4,1,3,1],[1,18,36,45,12,64,6,12,24,72,72,15,18,45,4,135,36,36,
18,72,72,72,180,270,36,72,36,36,192,3,45,45,18,24,90,24,36,72,72,90,9,18,36,
18,24,36,72,72,72,18,135,36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,36,
36,72,72,72,72,144,18,18,18,18,18,18,144,96,240,64,6,6,8,24,72,72,45,15,6,180,
9,12,9,18,36,36,36,36,144,135,270,18,36,72,36,9,36,9,36,18,36,18,18,18,36,18,
36,18,18,18,36,18,18,18,18,18,36,36,36,144,36,144,18,18,36,18,36,36,36,144,
144,48,96,96,18,45,3,18,18,24,36,9,9,9,9,36,36,72,36,6,6,18,18,36,36,36,6,6,
18,18,18,18,18,18,18,18,18,36,18,18,36,18,18,36,36,18,36,9,24,24,60,32,48,1,1,
18,18,18,18,18,18,18,18,6,9,9,9,12,24,24,3,3,9,1,4,1,3,1],[1,18,36,45,12,64,6,
72,48,15,18,16,45,135,36,18,72,72,180,270,72,36,36,192,3,12,45,45,18,90,72,90,
9,18,12,18,24,24,18,135,270,360,360,24,72,72,72,36,36,36,36,72,72,72,72,72,72,
144,18,18,18,18,36,18,36,18,72,144,24,24,96,240,64,6,1,3,45,15,180,9,9,36,135,
270,36,36,9,9,18,9,36,9,36,6,6,6,18,36,36,18,36,18,18,18,36,18,18,36,18,18,18,
18,18,36,36,36,36,72,144,36,144,18,36,18,36,18,36,18,18,36,36,36,144,36,72,
144,72,72,72,72,48,96,96,18,45,3,36,9,18,9,9,9,9,36,36,72,9,36,6,6,18,18,36,6,
18,18,18,18,18,18,36,18,36,6,18,9,18,9,18,36,18,36,9,12,36,12,12,36,36,18,18,
18,18,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,24,60,16,
1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,9,9,9,18,18,18,18,18,36,18,18,18,18,18,
36,36,36,36,36,36,36,12,24,24,3,6,18,9,9,18,1,8,12,1,3,1],[1,10,36,8,21,12,24,
64,2,12,24,72,72,16,3,18,9,4,12,39,36,36,12,18,72,72,72,48,36,72,48,66,36,72,
48,48,12,12,12,12,24,64,128,3,3,18,7,18,2,12,24,14,24,36,16,72,72,6,12,9,18,
36,18,24,36,12,72,72,72,18,15,36,12,30,12,48,24,32,16,48,48,48,48,24,72,72,48,
72,72,72,144,144,12,12,12,36,12,12,24,24,12,12,12,12,12,12,24,48,24,24,24,24,
48,24,48,24,24,24,48,48,48,6,12,6,12,6,6,18,24,6,12,12,24,6,12,6,12,24,48,48,
48,48,24,24,32,192,48,64,64,3,1,6,8,24,72,72,3,6,1,6,12,24,9,12,9,18,36,36,36,
36,144,3,6,12,24,18,36,72,3,6,12,12,12,3,6,3,6,12,24,3,6,6,12,12,24,6,6,6,6,
12,12,12,12,12,12,12,6,6,6,12,12,12,6,6,12,12,6,12,12,12,12,6,12,6,6,6,12,12,
12,6,6,18,24,6,12,6,6,6,6,12,6,12,12,12,12,12,24,12,24,12,24,48,48,48,6,18,6,
24,12,12,12,48,48,48,6,12,6,12,12,12,12,6,12,6,12,12,12,12,24,48,12,24,12,24,
48,48,48,12,24,24,48,48,48,48,24,24,24,24,24,24,24,48,24,48,16,32,32,64,32,64,
1,2,3,18,18,24,3,6,12,12,12,3,6,3,6,3,6,3,6,12,24,12,12,12,24,24,24,3,6,6,12,
12,24,6,6,6,12,12,12,12,12,12,2,2,2,2,4,6,6,6,6,6,6,6,6,12,6,12,6,6,6,6,12,6,
12,12,12,12,6,6,6,6,6,12,3,6,6,12,12,12,12,3,6,6,12,6,6,6,12,12,12,3,6,12,12,
12,12,12,12,24,12,24,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,6,
12,6,12,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,24,24,32,16,1,2,6,
3,3,1,2,6,6,6,6,12,6,12,3,6,6,6,6,6,6,6,12,3,6,3,6,3,6,3,6,3,6,3,6,6,6,6,6,12,
6,6,6,6,12,6,12,6,12,12,12,12,6,12,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,8,8,8,16,1,2,6,12,6,3,6,3,6,6,6,6,1,
8,4,8,1,1,2,1],[1,18,36,45,12,64,6,12,24,72,72,15,18,45,4,135,36,36,18,72,72,
72,180,270,36,72,36,36,192,3,45,45,18,24,90,24,36,72,72,90,9,18,36,18,24,36,
72,72,72,18,135,36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,36,36,72,72,
72,72,144,18,18,18,18,18,18,144,32,48,16,48,64,6,6,8,24,72,72,45,15,6,180,9,
12,9,18,36,36,36,36,144,135,270,18,36,72,36,9,36,9,36,18,36,18,18,18,36,18,36,
18,18,18,36,18,18,18,18,18,36,36,36,144,36,144,18,18,36,18,36,36,36,144,144,
48,48,96,48,96,96,18,45,3,18,18,24,36,9,9,9,9,36,36,72,36,6,6,18,18,36,36,36,
6,6,18,18,18,18,18,18,18,18,18,36,18,18,36,18,18,36,36,18,36,9,24,4,4,16,48,
32,48,1,1,18,18,18,18,18,18,18,18,6,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,18,36,
45,12,64,6,72,48,15,18,16,45,135,36,18,72,72,180,270,72,36,36,192,3,12,45,45,
18,90,72,90,9,18,12,18,24,24,18,135,270,360,360,24,72,72,72,36,36,36,36,72,72,
72,72,72,72,144,18,18,18,18,36,18,36,18,72,144,24,24,32,64,48,64,6,1,3,45,15,
180,9,9,36,135,270,36,36,9,9,18,9,36,9,36,6,6,6,18,36,36,18,36,18,18,18,36,18,
18,36,18,18,18,18,18,36,36,36,36,72,144,36,144,18,36,18,36,18,36,18,18,36,36,
36,144,36,72,144,72,72,72,72,48,96,96,18,45,3,36,9,18,9,9,9,9,36,36,72,9,36,6,
6,18,18,36,6,18,18,18,18,18,18,36,18,36,6,18,9,18,9,18,36,18,36,9,12,36,12,12,
36,36,18,18,18,18,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,4,4,32,48,12,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,9,9,9,9,18,18,18,18,18,
36,18,18,18,18,18,36,36,36,36,36,36,36,12,12,12,24,3,6,18,9,9,18,1,4,4,12,1,3,
1],[1,18,12,45,4,64,6,24,15,6,45,135,12,6,24,24,180,270,24,12,16,12,48,64,1,
45,45,6,90,24,90,3,6,6,8,6,135,270,360,360,8,24,24,24,12,12,12,12,24,24,24,24,
48,6,6,6,6,24,48,6,24,6,48,96,240,64,6,45,15,180,3,3,12,135,270,12,12,12,4,3,
12,3,12,6,12,6,6,12,12,24,6,12,12,12,24,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,
12,12,12,48,48,16,32,32,18,45,1,12,3,3,3,3,12,12,24,12,2,2,6,6,12,6,6,6,12,6,
6,6,6,12,6,12,12,3,12,12,24,12,12,24,24,60,16,1,1,3,6,6,6,6,6,6,6,6,3,3,4,8,8,
1,3,3,1,4,1,1,1],[1,10,36,21,12,64,2,12,24,72,72,3,18,9,4,39,36,36,18,72,72,
72,36,66,36,72,12,12,48,16,64,3,3,7,18,24,14,24,36,72,72,6,9,18,36,18,24,36,
72,72,72,18,15,36,30,32,48,24,72,72,48,72,72,72,144,144,12,12,12,12,24,24,24,
24,48,6,24,6,6,6,24,6,6,48,48,32,192,48,64,64,6,8,24,72,72,3,1,6,12,9,12,9,18,
36,36,36,36,144,3,12,18,36,72,12,4,3,12,3,12,12,6,12,12,12,6,12,6,12,6,12,24,
24,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,48,48,16,32,32,1,3,18,18,24,
12,3,3,3,3,12,12,24,12,12,12,2,2,6,6,6,6,6,6,6,6,12,6,6,12,12,3,12,24,12,24,
12,12,4,24,24,32,16,1,1,3,6,6,6,6,6,6,6,6,3,3,4,8,8,1,3,3,1,4,1,1,1],[1,18,12,
45,4,64,6,24,15,6,45,135,12,6,24,24,180,270,24,12,12,48,48,64,1,45,45,6,90,24,
90,3,6,6,8,6,135,270,360,360,8,24,24,24,12,12,12,12,24,24,24,24,48,6,6,24,6,6,
24,48,6,6,48,48,48,96,240,64,6,45,15,180,3,3,12,135,270,12,12,12,12,3,12,3,12,
6,12,6,6,12,48,6,12,12,12,48,12,6,6,6,6,6,12,12,12,48,12,48,6,6,12,6,12,12,12,
48,48,24,24,24,16,32,32,18,45,1,12,3,3,3,3,12,12,24,12,2,2,6,6,12,6,6,6,12,6,
6,24,6,6,12,6,12,3,12,12,12,12,12,12,12,12,12,24,24,60,32,16,1,6,6,6,6,6,3,3,
6,3,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,10,36,21,12,64,2,12,
24,72,72,3,18,9,4,39,36,36,18,72,72,72,36,66,36,72,12,48,12,48,64,3,3,7,18,24,
14,24,36,72,72,6,9,18,36,18,24,36,72,72,72,18,15,36,30,32,48,24,72,72,48,72,
72,72,144,144,12,12,12,12,24,24,24,24,48,6,6,6,24,6,48,72,6,6,48,48,32,192,48,
64,64,6,8,24,72,72,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,12,12,12,
3,12,3,12,6,12,12,12,48,6,12,12,6,12,48,6,6,6,6,6,6,12,12,12,48,12,48,6,6,12,
6,12,12,12,48,48,24,24,24,16,32,32,1,3,18,18,24,12,3,3,3,3,12,12,24,12,12,12,
2,2,6,6,6,6,6,6,6,6,6,24,12,6,12,3,12,12,12,12,12,12,12,12,12,24,4,24,24,32,
16,32,1,6,6,6,6,6,3,3,6,3,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,
18,12,24,45,4,24,64,6,24,48,15,6,45,12,135,12,36,6,24,24,48,180,72,270,24,48,
12,12,36,12,72,48,64,64,64,1,45,18,45,6,6,12,90,24,90,3,6,6,8,36,6,135,12,270,
24,360,360,48,8,24,24,24,12,12,12,36,12,12,72,24,12,36,12,12,36,12,48,24,48,
24,72,24,144,72,24,48,48,144,6,36,6,6,18,18,24,6,12,36,24,72,6,12,6,72,48,48,
24,96,240,64,6,3,3,45,6,15,180,3,3,12,135,270,12,3,6,12,12,9,6,12,3,6,12,3,18,
12,6,12,12,12,12,6,12,6,18,6,12,36,72,18,12,18,36,12,12,36,72,18,12,36,6,12,
72,72,6,6,18,24,6,18,6,6,6,12,6,12,12,12,12,12,36,24,12,72,48,48,18,18,6,24,
12,12,48,6,12,6,12,36,6,12,36,72,12,12,48,48,36,24,72,72,48,24,24,24,24,24,24,
16,48,64,96,16,32,32,18,45,1,3,6,12,3,3,3,6,3,12,12,12,24,9,6,12,18,12,2,2,6,
6,18,12,12,36,6,6,6,6,12,36,72,18,6,12,36,18,6,6,6,12,6,24,72,12,9,18,36,12,9,
18,6,6,12,6,12,36,3,12,12,24,6,6,6,6,6,6,12,6,6,12,12,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,60,16,32,1,3,18,9,12,3,3,6,18,9,12,6,6,6,6,3,
6,6,6,6,3,3,3,3,6,12,12,12,12,6,6,6,6,12,12,12,12,4,24,12,16,4,8,8,3,3,1,3,3,
3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,18,12,45,4,48,64,6,24,15,6,45,24,135,12,6,24,
24,180,144,48,270,24,48,24,12,12,144,128,64,1,45,36,45,6,90,24,90,12,3,6,6,8,
6,135,270,12,48,360,48,360,8,24,24,24,24,12,72,12,12,12,24,24,24,144,24,48,24,
288,144,24,24,48,48,6,72,6,12,6,36,6,6,6,12,144,48,48,48,24,96,240,64,6,6,45,
15,180,3,3,12,135,6,270,12,6,12,12,3,12,3,6,36,12,12,6,6,6,12,12,12,6,12,6,6,
6,12,36,12,12,72,6,36,12,72,6,12,144,144,6,36,6,12,6,6,6,12,12,12,48,36,12,12,
48,48,6,6,12,12,12,12,6,72,6,12,12,12,72,144,48,12,12,48,144,48,48,48,24,48,
24,48,32,192,16,32,32,18,45,1,6,12,12,3,6,3,3,3,12,12,24,36,12,12,2,2,6,6,6,
12,12,12,36,12,12,72,6,36,6,6,6,12,6,48,144,6,6,18,36,6,6,12,12,6,12,72,3,12,
24,12,6,6,12,6,6,12,12,6,6,24,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,12,
24,60,16,32,1,18,24,3,18,24,6,6,6,6,6,3,6,12,6,3,3,6,6,12,12,12,12,6,12,6,12,
12,12,12,24,32,4,8,8,6,1,3,6,3,6,6,12,1,4,8,3,2,1,1],[1,18,12,48,45,4,64,6,24,
96,48,15,6,45,135,12,72,6,24,24,48,180,270,24,12,72,12,96,128,64,1,45,45,6,12,
90,24,90,3,6,12,6,8,72,12,48,6,135,270,360,360,8,24,24,24,12,12,144,12,72,24,
24,12,72,24,96,96,24,24,24,24,48,288,6,6,6,36,6,12,72,24,24,144,48,6,12,6,48,
24,96,240,64,6,6,6,45,15,180,3,3,12,135,270,12,12,18,24,6,12,3,12,12,3,12,6,
12,12,24,6,12,6,36,6,72,144,36,72,144,6,12,12,24,24,6,6,36,6,6,12,6,12,24,12,
12,72,12,144,48,36,12,48,12,6,6,12,6,24,24,48,6,12,12,12,48,12,12,24,72,24,
144,48,48,24,24,24,24,24,24,96,128,16,32,32,18,45,1,12,6,3,3,3,3,12,12,24,18,
24,12,12,12,2,2,6,6,36,12,72,12,72,144,12,6,6,6,12,6,12,12,24,12,18,36,72,6,6,
12,6,12,12,3,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,24,
24,24,24,12,24,60,16,32,1,6,36,3,6,36,6,6,6,6,6,3,3,3,6,6,6,3,3,6,6,12,12,12,
12,6,6,6,6,24,24,8,48,4,8,8,6,1,3,6,3,6,6,6,6,1,4,8,3,2,1,1],[1,10,60,21,36,
64,2,12,24,72,72,48,3,54,48,9,4,39,60,36,30,72,120,72,36,66,36,120,60,48,36,
48,64,64,64,9,36,3,7,18,24,14,24,36,72,72,6,15,30,36,12,18,24,24,36,72,72,72,
30,15,36,30,32,48,24,72,120,48,72,72,72,144,144,60,48,36,36,60,120,144,48,96,
48,48,24,48,72,96,48,6,18,18,18,36,24,48,30,60,72,6,24,96,24,32,192,48,64,64,
3,6,8,24,72,72,3,3,1,6,12,15,12,9,18,36,36,36,36,144,3,12,18,36,72,12,9,12,15,
12,6,9,12,3,24,6,12,24,12,12,24,6,18,36,72,12,12,48,6,12,6,24,24,6,6,12,18,36,
72,12,48,18,24,24,24,18,6,18,18,6,36,12,36,12,24,48,12,48,30,60,72,30,60,72,6,
12,24,48,12,18,12,24,24,96,36,24,24,48,96,72,72,48,64,16,32,64,16,32,32,1,3,
18,18,24,12,9,6,3,3,9,3,12,12,24,15,12,12,24,6,36,6,6,12,12,12,6,2,2,6,6,6,6,
12,24,18,36,72,6,6,6,6,12,6,12,24,24,48,24,12,6,12,9,18,36,6,6,24,3,6,6,12,12,
12,12,3,12,36,6,18,6,6,12,6,6,12,12,12,12,12,24,12,12,24,24,12,12,12,24,12,12,
12,4,24,24,32,16,32,1,3,18,3,12,6,3,6,6,6,3,18,3,6,12,6,6,3,6,6,6,6,3,3,3,3,6,
12,12,12,12,6,6,6,6,12,12,12,12,4,24,4,8,16,4,8,8,3,3,1,3,3,3,3,6,6,6,6,1,4,8,
3,1,1,1,1],[1,6,36,28,9,36,12,64,2,12,24,72,72,24,24,3,54,48,3,4,6,9,36,36,18,
18,72,72,72,24,72,12,24,18,36,72,72,24,6,36,18,48,24,12,24,24,64,64,64,9,36,3,
18,1,6,24,6,24,36,8,72,72,6,9,18,36,18,18,24,36,6,6,72,72,72,24,18,9,36,18,6,
24,8,24,24,24,24,72,72,48,48,72,72,72,144,144,6,36,18,48,6,6,12,12,6,6,12,12,
36,18,18,72,36,144,24,24,48,48,24,24,48,12,12,24,24,12,12,48,24,24,48,24,24,6,
6,12,3,3,12,6,6,6,12,12,12,12,12,24,24,18,18,18,36,72,6,24,24,24,48,12,12,32,
192,48,64,64,3,6,8,24,72,72,3,3,1,6,12,9,6,12,9,18,36,36,36,36,144,3,12,18,36,
72,6,6,3,6,6,6,9,6,12,6,3,6,12,3,12,12,6,12,12,12,12,12,12,12,3,3,18,36,72,6,
6,6,6,24,24,6,6,6,6,24,12,12,3,3,6,12,18,36,72,6,6,24,24,6,12,12,12,12,12,24,
3,3,12,6,3,3,12,6,6,6,6,6,6,12,12,12,6,6,12,12,12,24,24,24,6,6,24,24,18,18,36,
18,72,18,36,18,18,72,6,6,6,12,12,24,24,12,6,12,6,6,12,12,12,12,24,24,48,6,6,
12,12,24,12,12,24,24,24,24,48,12,12,12,12,12,12,12,12,12,12,12,12,48,64,16,32,
32,32,16,32,32,1,3,18,18,24,6,6,6,3,6,3,3,3,6,3,12,6,6,12,12,9,12,6,6,6,12,12,
6,36,6,6,6,6,12,6,6,6,1,1,2,3,3,3,3,6,6,6,6,24,18,36,72,6,6,3,3,6,12,6,6,6,24,
12,12,24,24,12,12,12,6,6,6,9,18,36,6,3,3,12,12,3,6,3,3,6,6,12,6,6,12,3,6,6,6,
6,12,12,6,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,4,24,24,32,16,32,1,3,18,3,12,3,3,3,3,3,6,6,3,18,3,3,3,12,3,
3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,3,3,3,3,6,12,12,12,12,4,24,
4,4,4,16,4,4,4,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,10,36,48,
21,12,64,2,12,24,72,72,96,48,3,18,9,4,39,36,36,72,18,72,72,72,48,36,66,36,72,
12,24,12,48,48,48,128,64,3,3,7,18,12,24,14,24,36,72,72,6,9,18,36,12,18,24,36,
72,12,72,72,72,48,18,15,36,30,32,48,24,72,72,48,72,72,72,144,144,12,12,48,12,
24,24,24,12,24,24,48,48,96,96,24,48,96,24,24,48,24,48,48,144,6,6,24,6,12,6,12,
24,24,24,24,72,48,48,6,12,6,48,48,24,32,192,48,64,64,6,6,8,24,72,72,6,3,1,6,
12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,12,6,12,6,12,12,12,3,12,12,3,12,6,
12,12,24,24,6,12,12,12,24,48,48,6,12,6,12,48,24,24,6,12,12,12,24,48,48,12,24,
24,24,48,6,6,12,6,6,12,6,12,24,12,12,24,12,48,72,48,12,12,48,12,6,6,12,6,24,
24,24,48,48,24,6,12,12,24,12,48,12,12,24,48,24,24,24,72,48,48,48,24,24,24,24,
24,24,32,64,64,64,16,32,32,1,3,18,18,24,12,6,12,3,3,3,3,12,12,24,6,12,12,12,
12,12,12,12,12,12,2,2,6,6,6,6,12,12,24,48,12,12,6,6,12,12,12,48,24,24,48,48,
24,12,6,6,12,12,12,6,6,24,24,6,6,12,12,12,24,3,12,12,12,12,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,12,24,24,24,24,12,4,24,24,32,16,32,1,6,24,6,6,3,6,
6,6,6,6,6,6,24,6,3,6,3,3,6,6,3,3,6,6,12,12,12,12,6,6,6,6,24,24,8,8,8,32,4,8,8,
6,1,3,6,3,6,6,6,6,1,4,8,3,2,1,1],[1,6,60,28,9,12,12,64,2,12,24,72,72,24,48,72,
3,18,3,4,6,9,60,36,18,30,72,72,72,72,24,12,24,18,36,72,24,24,6,12,18,24,24,12,
24,48,24,64,64,64,3,3,18,1,18,24,6,24,36,8,72,72,6,15,18,36,6,12,18,24,24,36,
6,18,72,72,72,48,24,18,9,36,6,6,24,8,24,24,24,24,72,72,48,72,72,72,144,144,6,
6,6,18,12,12,12,12,6,18,36,12,18,6,24,12,24,24,48,48,48,96,24,48,24,24,48,12,
12,24,24,24,12,12,24,24,48,24,24,48,48,6,12,6,12,3,3,12,18,12,18,6,12,12,12,
12,24,12,24,24,48,48,6,6,6,6,24,24,24,24,12,12,32,192,48,64,64,6,6,8,24,72,72,
3,3,3,1,6,12,9,12,9,18,36,36,36,36,144,3,12,18,36,72,6,6,6,12,3,3,12,6,6,6,6,
3,12,6,6,3,12,6,12,12,12,12,12,12,3,3,6,6,12,6,6,12,12,24,24,48,6,6,6,6,24,12,
24,24,12,12,3,3,6,6,6,12,6,12,12,48,24,24,6,6,12,12,12,24,12,24,24,3,3,6,3,3,
12,6,6,6,6,18,6,12,12,6,12,6,12,24,12,24,12,12,48,24,24,12,6,6,24,24,6,6,6,6,
6,6,18,12,12,24,12,48,24,24,12,12,6,6,6,12,12,12,12,24,24,6,18,12,12,24,24,18,
6,12,12,24,12,12,24,24,48,48,24,24,12,12,12,12,12,12,12,12,12,12,12,12,16,16,
32,32,64,32,32,16,32,32,1,3,18,18,24,6,6,3,3,6,6,3,3,3,3,12,6,6,12,12,6,12,6,
6,6,12,6,12,6,6,6,6,6,6,6,6,1,1,2,3,3,3,3,6,6,6,6,12,12,12,24,24,6,6,6,6,3,3,
6,6,12,6,12,24,24,12,24,12,24,48,24,12,12,12,6,6,12,6,6,6,6,6,3,3,12,24,12,3,
3,3,3,6,6,6,12,6,12,12,3,6,6,12,6,6,12,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,
6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,4,24,24,32,16,32,1,3,3,12,
12,6,3,3,3,3,3,6,6,6,3,3,3,6,3,12,12,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,6,6,6,3,3,3,3,6,12,12,12,12,4,4,4,4,8,16,16,4,4,4,8,3,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,1,4,4,4,3,1,1,1,1],[1,10,84,21,12,64,2,12,24,72,120,96,3,18,9,4,39,84,
36,42,72,72,120,36,66,36,72,36,60,96,128,64,3,3,7,30,24,14,24,36,72,72,6,21,
18,36,24,30,24,48,36,72,72,72,18,15,36,30,32,48,24,72,72,48,120,72,72,144,144,
12,36,36,12,48,96,192,96,120,72,96,24,96,96,18,30,6,6,24,48,96,18,18,96,96,24,
32,192,48,64,64,6,8,24,72,72,6,3,1,6,12,9,12,15,18,36,36,36,36,144,3,12,18,36,
72,12,6,24,24,3,12,9,24,6,6,6,12,24,24,12,6,6,12,24,96,6,12,6,48,48,6,18,12,
12,24,96,12,36,48,48,6,18,6,18,18,12,12,24,36,96,96,12,96,12,6,18,12,48,96,30,
6,12,48,24,48,24,96,48,96,48,72,72,32,64,128,16,32,32,1,3,18,18,24,12,6,24,3,
9,3,3,24,12,24,24,12,12,12,12,12,2,2,6,6,6,6,24,48,6,18,12,6,6,12,12,24,48,48,
96,24,6,6,6,12,12,12,48,6,6,6,12,12,24,24,3,12,36,6,18,6,12,6,12,6,6,12,24,12,
24,24,24,12,24,12,12,24,12,12,12,4,24,24,32,16,32,1,6,24,12,3,6,6,6,6,12,24,6,
6,3,6,6,12,3,3,6,6,12,12,12,12,6,12,6,12,12,12,12,8,16,32,4,8,8,6,1,3,6,3,6,6,
12,1,4,8,3,2,1,1],[1,6,12,25,12,64,5,18,16,15,15,12,6,24,60,60,24,24,12,24,72,
48,64,3,12,10,20,3,6,6,15,30,60,20,24,12,12,24,12,12,24,12,48,24,6,36,12,36,
24,48,6,12,6,24,72,48,24,12,24,32,64,48,64,1,1,3,15,15,6,12,12,3,6,3,18,6,3,3,
6,3,6,6,12,12,3,6,9,6,12,36,6,36,6,12,12,12,6,36,36,6,12,6,12,6,12,3,12,12,6,
6,24,24,12,12,12,12,12,16,32,32,1,3,3,6,3,4,3,3,3,6,6,6,1,3,6,3,18,6,3,6,18,2,
6,6,3,3,6,6,6,3,9,12,12,12,6,6,6,6,6,12,6,6,12,6,6,12,6,6,12,12,4,4,12,16,32,
1,6,3,3,3,3,6,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,
4,3,1,1],[1,6,12,25,12,48,64,5,18,16,15,24,15,12,6,24,60,144,48,60,24,48,12,
24,48,72,128,64,3,12,10,36,20,12,3,6,6,15,30,12,48,60,48,20,24,12,12,24,12,12,
24,24,72,12,24,144,72,48,24,96,24,6,36,12,12,24,6,12,6,12,24,48,72,48,24,12,
24,24,32,64,48,64,1,1,6,3,15,6,15,3,6,12,3,6,18,12,6,3,6,3,3,6,12,24,3,6,9,6,
12,12,24,12,12,24,6,36,36,6,12,6,12,6,12,12,12,12,3,6,36,12,12,24,12,12,36,72,
48,6,6,24,72,48,24,12,24,48,12,24,48,12,12,12,24,24,24,24,32,64,64,16,32,32,1,
3,6,3,18,12,6,3,4,12,3,3,3,6,6,12,12,6,36,1,3,3,6,3,6,18,2,6,12,24,12,3,3,6,
12,6,12,6,12,6,3,9,6,12,6,12,12,24,6,6,6,12,24,6,6,6,6,6,6,12,12,12,12,12,12,
24,4,4,12,16,32,1,3,6,3,3,3,6,3,6,3,6,12,6,6,6,6,12,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,6,36,36,9,
20,36,16,2,12,24,72,72,24,24,3,30,16,3,4,18,9,36,36,30,18,72,72,72,72,72,36,
72,18,36,72,120,72,18,12,30,16,24,36,24,24,48,48,80,5,12,9,18,3,18,24,6,24,36,
24,72,72,18,9,18,36,18,18,24,36,6,6,72,72,72,24,18,9,36,30,18,72,24,72,72,72,
24,72,72,48,48,72,72,72,144,144,18,12,30,16,18,18,12,12,18,18,12,12,12,30,30,
24,36,48,24,24,48,48,24,72,48,36,36,72,24,36,36,48,72,72,48,24,24,18,18,12,9,
9,12,6,18,6,12,12,12,12,12,24,24,6,30,18,12,24,18,24,72,72,48,12,12,8,12,16,
16,80,48,48,16,16,1,6,8,24,72,72,3,9,1,6,36,9,6,12,9,18,36,36,36,36,144,9,36,
18,36,72,18,18,3,6,6,6,3,6,4,6,9,6,36,9,12,36,6,12,12,12,12,12,12,12,9,9,6,12,
24,18,18,6,6,24,24,18,18,18,18,24,12,12,9,9,6,12,6,12,24,6,6,24,24,6,12,12,12,
12,12,24,9,9,12,18,9,9,12,18,6,6,18,18,18,12,12,36,6,6,12,12,36,24,72,72,18,
18,72,72,6,18,12,18,24,6,12,30,18,24,18,18,18,12,12,24,24,12,18,12,18,18,36,
12,12,36,72,72,48,6,6,12,12,24,12,12,24,24,72,72,48,12,12,12,12,12,12,12,12,
12,12,12,12,12,20,16,24,20,24,24,16,16,16,16,16,16,16,3,3,18,18,24,18,18,6,3,
6,9,9,9,6,9,36,18,18,36,36,3,4,6,6,6,12,36,2,12,6,6,18,18,12,18,18,6,3,3,6,9,
9,9,9,18,18,6,6,24,6,12,24,6,6,9,9,18,12,6,6,6,24,12,12,24,24,12,12,12,18,18,
18,3,6,12,6,3,3,12,12,3,6,9,9,18,18,12,6,6,12,9,6,6,6,6,12,12,6,6,6,6,6,6,12,
6,6,12,6,6,6,6,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,1,4,
8,12,12,8,20,24,12,24,4,8,4,16,1,1,6,3,12,3,3,3,9,9,18,18,1,6,3,3,3,12,9,9,6,
3,3,3,3,3,3,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,3,3,3,3,6,12,12,12,12,1,2,3,3,4,
12,2,4,4,4,4,8,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,1,1,2,2,4,3,1,1,1,1,
1,1,1,1],[1,18,36,45,12,32,16,6,72,15,18,45,16,135,36,18,72,72,180,96,48,270,
72,48,16,36,36,96,48,16,32,48,32,3,45,24,45,18,90,72,90,12,9,18,18,24,18,135,
270,12,32,360,48,360,24,72,72,72,16,36,48,36,36,36,72,24,72,96,72,48,24,192,
96,72,24,48,144,18,48,18,12,18,24,18,18,18,12,96,48,48,144,24,8,12,16,16,48,
32,48,16,32,16,16,6,4,45,15,180,9,9,36,135,6,270,36,4,36,12,9,36,9,6,24,12,36,
6,6,6,12,12,12,18,36,18,6,18,12,24,12,12,48,6,24,12,48,18,36,96,96,18,24,18,
12,18,18,18,36,36,36,144,24,36,12,48,144,18,18,12,12,36,12,6,48,18,12,12,36,
48,96,48,36,36,144,96,48,144,48,24,48,24,48,12,12,24,8,16,12,24,8,24,16,16,16,
16,16,16,16,18,45,3,4,12,36,9,6,9,9,9,36,36,72,24,12,36,6,6,18,18,6,12,36,12,
24,12,12,48,6,24,18,18,18,36,18,32,96,6,6,12,24,18,6,12,36,18,36,48,9,12,24,
12,6,6,12,6,6,12,12,6,6,24,12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,12,1,
8,12,4,4,12,24,12,8,8,8,24,4,4,8,16,1,12,16,3,12,16,18,6,18,18,18,3,6,12,6,9,
9,6,6,12,12,12,12,6,12,6,12,12,12,12,1,3,2,3,12,4,2,4,4,4,4,8,4,4,3,3,6,3,6,6,
12,1,1,3,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,18,36,32,45,12,16,6,72,64,48,15,
18,45,135,36,48,18,72,72,48,180,270,72,36,48,36,64,16,48,32,48,32,3,45,45,18,
8,90,72,90,9,18,12,18,24,48,12,48,18,135,270,360,360,24,72,72,72,36,36,96,36,
48,24,24,36,48,24,64,96,72,72,72,72,144,192,18,18,18,24,18,12,48,24,24,96,48,
18,12,18,144,24,8,12,16,16,48,16,32,48,32,16,16,6,4,6,45,15,180,9,9,36,135,
270,36,36,12,16,6,12,9,36,12,9,36,6,12,12,24,18,36,18,24,18,48,96,24,48,96,18,
36,12,24,24,18,18,24,18,18,12,18,36,24,36,12,48,36,96,144,24,36,144,12,18,18,
36,6,24,24,48,18,36,36,36,144,12,12,24,48,24,96,48,144,24,24,24,24,24,24,12,
12,8,24,16,12,8,24,24,16,16,16,16,16,16,16,18,45,3,36,6,9,9,9,9,36,36,72,12,
16,12,12,36,6,6,18,18,24,36,48,8,48,96,12,18,18,18,36,18,12,12,24,12,12,24,48,
6,18,36,18,36,12,9,12,12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
12,24,24,24,24,12,1,4,8,12,4,8,8,12,12,8,24,24,4,4,8,16,1,4,24,3,4,24,6,18,18,
18,18,3,3,3,6,6,6,9,9,6,6,12,12,12,12,6,6,6,6,24,24,1,3,2,3,12,4,2,4,4,4,4,8,
4,4,3,3,6,3,6,6,6,6,1,1,1,3,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,6,60,9,12,32,16,
12,24,72,48,32,1,6,3,16,15,36,24,18,48,24,72,4,48,48,12,12,48,48,16,12,24,24,
24,48,48,16,32,48,32,1,12,3,12,12,24,24,12,6,12,8,6,16,24,24,24,48,6,3,12,8,
48,8,12,12,12,24,36,36,12,24,72,4,12,36,12,12,12,48,96,48,24,12,12,12,24,48,
36,24,12,12,12,72,72,24,48,12,12,6,6,12,12,24,12,24,24,48,12,6,24,48,24,24,24,
8,24,12,24,8,4,16,16,48,32,48,16,32,16,16,1,3,24,12,2,1,3,6,12,24,6,3,6,1,6,6,
6,6,6,12,6,6,3,12,2,6,3,3,9,6,6,6,18,12,12,6,6,12,12,12,24,6,9,6,6,12,6,6,6,3,
18,12,6,18,6,6,24,12,6,6,6,12,6,12,24,12,24,24,12,18,6,18,24,24,24,48,6,9,6,6,
6,6,24,12,24,24,24,24,48,24,24,24,24,24,24,12,24,12,12,12,12,24,24,24,24,4,8,
16,4,8,8,8,4,8,16,8,8,16,16,8,16,16,16,16,16,3,1,6,6,6,3,6,6,12,6,6,6,6,6,6,6,
3,6,6,6,3,3,12,12,3,6,6,6,6,12,24,3,9,3,3,6,6,6,12,6,6,6,12,6,6,4,12,6,3,6,6,
3,6,12,6,6,6,6,6,6,3,6,3,12,6,6,6,12,12,6,12,6,6,12,6,12,12,6,6,6,18,6,6,6,6,
6,6,6,6,6,6,6,6,12,12,12,12,12,12,24,8,4,4,8,16,4,4,8,4,8,8,16,8,8,4,4,8,8,8,
16,3,1,3,6,6,3,6,3,3,6,3,6,4,4,6,6,6,6,3,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,1,4,4,8,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,
1,1,1,1,1],[1,6,48,24,9,24,32,16,6,12,36,24,48,16,48,1,24,16,3,6,16,15,24,30,
36,12,60,48,48,96,48,4,48,72,12,42,72,96,72,16,24,12,24,12,24,24,24,24,48,16,
32,48,32,3,12,1,12,3,6,6,24,12,12,18,24,24,36,18,3,6,18,12,4,8,6,36,12,12,12,
12,32,48,12,3,30,24,18,72,8,24,72,8,96,72,12,48,36,32,12,24,12,48,48,4,12,12,
24,36,12,12,24,48,24,12,24,24,24,24,12,24,24,24,72,24,24,48,48,24,24,48,48,24,
12,12,24,24,24,24,12,12,24,48,24,48,24,48,24,24,48,48,6,12,6,12,12,6,12,24,6,
12,12,12,12,24,24,48,12,12,24,24,48,6,12,12,12,36,6,24,24,48,24,24,48,8,24,24,
4,4,4,16,16,48,32,48,16,32,16,16,1,1,3,4,1,6,1,12,3,36,3,4,6,3,6,6,6,24,9,36,
6,6,24,1,6,6,6,12,3,12,12,12,3,6,12,6,6,3,4,6,6,3,6,12,12,4,12,12,3,6,12,12,2,
12,6,8,6,12,24,12,12,12,6,12,6,6,6,12,12,6,6,12,12,12,12,12,12,9,9,6,12,6,6,6,
6,12,12,6,12,18,6,12,6,6,6,12,12,12,3,3,6,12,6,6,12,6,12,6,6,12,12,6,12,12,12,
12,12,6,6,6,24,6,6,12,12,24,6,12,12,12,6,12,12,12,12,24,24,12,12,12,12,24,48,
12,24,12,12,48,24,48,24,6,12,12,24,6,6,12,24,24,6,12,12,12,36,6,12,12,12,36,6,
6,6,6,12,24,12,12,24,24,12,6,6,6,12,12,6,6,24,12,12,12,12,48,24,24,48,12,12,
12,24,24,24,12,12,12,24,48,12,12,24,24,48,24,24,24,48,8,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,12,4,4,8,4,4,8,8,8,8,12,4,4,
8,8,8,8,8,16,16,8,16,16,16,16,16,3,3,1,6,6,6,3,12,6,6,3,3,3,6,12,3,12,6,12,6,
12,12,3,12,12,12,3,6,4,4,12,12,6,6,6,12,12,6,6,6,9,9,6,6,12,6,6,6,3,3,6,3,3,3,
3,6,6,6,6,12,12,6,12,6,6,6,6,3,3,6,6,12,6,3,3,12,6,6,6,12,12,12,12,12,12,6,6,
12,9,6,12,6,6,3,6,6,3,3,3,3,6,6,3,3,12,6,6,3,4,12,12,12,12,12,24,24,12,12,12,
24,24,12,12,12,24,24,6,3,3,6,6,12,24,12,12,12,24,24,6,12,12,12,6,6,6,24,6,6,
12,6,6,6,6,3,3,3,3,6,6,6,6,6,6,12,6,6,12,12,8,24,24,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,12,6,6,6,12,12,
12,12,12,12,12,12,12,12,6,6,6,6,6,12,6,12,12,12,12,12,12,6,6,4,4,4,4,4,4,4,8,
12,4,8,4,12,8,4,4,8,4,8,4,8,8,8,8,8,4,4,4,4,4,4,8,8,8,16,1,6,3,4,3,6,12,3,3,3,
6,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,6,6,3,3,3,3,3,3,6,6,6,3,3,3,3,3,3,3,6,3,3,6,
6,6,6,6,6,6,6,6,4,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3,
6,6,3,3,6,12,12,6,6,6,6,12,12,6,6,6,6,12,12,12,12,6,6,6,6,6,6,1,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,6,3,3,6,3,3,1,3,3,3,3,3,3,3,3,6,3,3,6,6,6,6,6,1,
1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,15,60,160,5,90,80,30,90,96,160,15,60,
15,180,45,60,96,80,320,120,1,5,15,15,45,45,45,120,15,15,45,10,20,60,64,5,6,10,
6,5,1],[1,18,45,64,6,15,45,135,180,270,16,45,45,90,90,135,270,360,360,48,96,
240,64,6,45,15,180,135,270,16,18,45,24,60,16,1,1,3,1,4,1,1],[1,15,20,16,5,30,
30,30,120,16,80,5,15,60,15,60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,15,1,
20,16,15,1,5,1,5,1,3,1,1],[1,18,60,24,45,20,24,6,12,24,72,120,48,48,48,15,30,
16,45,4,12,135,60,36,36,30,72,120,120,80,48,180,72,48,270,36,120,80,48,12,60,
36,16,60,16,72,48,48,16,5,12,45,18,45,30,6,20,24,90,24,36,16,120,72,90,12,15,
30,36,12,12,30,40,24,36,36,12,72,72,72,32,48,30,135,36,20,270,12,48,24,360,16,
48,360,80,48,40,72,120,32,48,120,72,120,144,144,12,60,20,16,36,20,60,72,40,60,
36,20,24,24,60,36,20,72,24,48,48,16,48,96,32,96,120,72,16,80,32,24,120,72,120,
48,16,24,144,72,120,24,32,80,48,240,32,48,16,144,32,32,30,36,30,12,8,30,18,18,
40,30,12,36,20,36,24,24,40,8,24,72,16,48,48,32,30,20,12,36,24,30,12,72,16,72,
48,48,240,80,32,24,24,40,24,24,16,6,1,3,3,6,4,8,24,72,72,3,6,45,10,15,6,180,
24,15,4,12,15,18,36,36,60,36,144,135,6,270,24,18,60,72,3,10,60,20,12,9,10,12,
12,8,9,6,12,12,12,4,9,4,4,18,4,15,10,12,60,24,4,12,12,15,6,18,12,60,8,24,6,6,
12,10,8,6,12,24,6,6,6,18,36,8,8,8,6,12,20,20,20,12,12,8,8,20,12,12,36,8,8,8,
24,30,8,60,8,8,30,18,18,6,30,12,24,20,36,12,12,4,36,72,8,8,16,16,48,18,18,20,
12,18,12,36,36,20,18,20,36,24,8,16,24,8,72,6,18,18,20,12,36,30,4,60,8,18,12,
24,12,12,4,8,8,24,48,16,16,18,4,8,36,8,8,24,24,8,24,16,72,72,10,30,18,40,30,
12,18,30,10,24,30,20,12,12,30,20,20,60,20,24,24,60,24,12,36,36,24,40,60,72,24,
16,8,8,72,32,80,48,240,18,18,10,40,20,60,12,48,48,240,18,12,36,12,24,30,36,20,
12,24,30,12,12,60,12,6,12,24,24,24,8,48,16,48,18,8,6,36,30,12,8,12,60,36,72,
48,60,24,8,60,8,24,48,80,240,32,12,12,36,24,24,72,16,36,12,12,24,40,24,8,72,
48,16,48,32,72,48,240,48,48,32,8,24,24,40,24,24,24,72,40,40,40,24,24,40,40,24,
24,72,24,24,24,72,24,24,24,24,48,72,24,48,8,8,8,16,16,16,16,18,45,2,5,18,18,
24,3,10,12,12,60,9,12,6,18,4,15,6,15,6,15,10,12,15,6,60,24,20,12,60,120,24,24,
9,10,12,12,8,9,4,4,4,12,12,12,12,4,18,12,60,8,24,10,10,12,30,4,30,4,6,18,6,36,
20,12,60,8,36,4,4,12,12,36,6,4,6,2,6,6,4,10,6,18,10,6,18,10,18,20,18,12,36,4,
12,72,8,8,24,16,18,12,24,18,4,18,4,4,12,4,18,18,6,18,12,10,12,20,12,36,6,6,18,
30,8,30,30,60,30,4,24,4,12,12,12,8,24,16,24,24,8,16,48,16,36,8,8,72,6,18,8,6,
6,20,12,8,9,6,18,12,18,4,36,8,20,36,12,9,6,12,18,4,6,6,2,8,24,8,9,2,9,6,18,12,
30,4,6,18,10,36,12,12,60,8,30,60,12,12,4,12,8,36,15,6,12,36,12,12,12,12,12,12,
12,20,20,12,12,40,24,12,12,36,24,24,36,12,24,12,12,12,12,24,24,18,4,6,6,10,6,
12,6,4,18,6,12,24,12,12,12,24,24,18,18,12,12,12,10,10,10,24,6,12,18,4,18,4,36,
8,4,4,12,12,4,4,6,10,6,6,10,6,12,12,12,12,12,20,18,4,18,4,10,12,10,12,12,8,36,
18,18,6,12,6,12,12,12,20,36,8,12,8,24,8,24,24,4,20,12,20,4,4,20,4,12,12,12,24,
40,4,20,12,20,4,4,20,4,4,24,4,12,4,12,12,4,12,4,4,4,8,8,24,8,12,4,12,12,4,4,
12,12,12,4,12,24,24,12,24,12,24,4,8,36,36,8,8,36,8,8,36,8,36,8,24,8,8,36,8,20,
12,12,12,12,12,12,20,12,12,12,20,20,12,20,20,20,12,12,8,24,8,8,8,8,24,4,4,4,4,
12,12,12,36,8,8,36,36,8,36,8,12,12,20,12,20,12,20,12,20,24,8,8,8,24,8,12,8,36,
8,12,12,12,36,12,20,12,4,8,8,8,8,8,8,8,8,8,16,1,1,2,6,2,6,1,6,3,2,12,8,3,18,9,
12,6,2,2,3,3,6,5,4,3,6,12,3,3,2,10,18,6,18,4,18,12,18,12,3,6,9,2,9,6,12,6,6,2,
12,8,30,18,6,6,30,30,4,30,6,6,6,6,6,6,12,18,9,2,9,3,6,5,6,3,2,3,3,6,6,6,2,6,4,
2,6,2,2,6,6,6,4,6,4,6,12,1,2,1,2,2,6,2,2,2,6,2,2,6,6,6,2,6,12,10,4,10,4,10,10,
4,6,15,9,6,15,6,9,2,5,6,5,6,9,2,18,6,2,2,18,4,10,6,6,6,12,6,4,4,4,4,12,4,12,4,
12,12,4,4,4,8,12,4,4,4,4,12,12,4,4,4,20,4,12,20,12,4,4,20,4,4,12,4,12,12,4,12,
12,12,4,12,4,4,12,12,12,12,12,4,4,12,4,4,12,12,12,12,12,4,8,12,4,4,4,20,4,4,
18,18,4,6,6,10,6,12,6,4,10,10,2,2,2,6,6,2,2,6,12,2,2,2,6,2,2,12,18,36,18,6,12,
6,12,12,12,12,6,12,18,4,6,6,10,18,6,4,18,8,18,36,8,6,20,6,12,20,12,12,24,8,8,
2,2,2,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,20,12,12,20,36,8,36,36,
8,36,24,8,8,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,3,2,3,3,5,3,2,1,3,6,4,2,2,6,6,4,1,2,2,2,
6,1,1,6,18,6,12,6,2,6,2,2,2,2,3,6,9,9,2,3,2,5,6,5,5,3,2,3,2,6,6,2,2,2,6,5,1,2,
3,3,3,2,3,1,2,1,2,2,2,2,3,3,2,2,2,6,6,6,2,2,2,1,3,2,3,2,3,2,9,10,2,2,2,2,2,6,
6,6,6,6,6,2,2,6,4,6,2,6,6,10,4,2,2,2,6,6,2,2,6,12,2,2,2,2,2,6,10,10,12,2,2,6,
6,6,18,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,
4,4,4,4,4,12,4,4,1,1,1,1,1,1,1,3,2,3,3,3,3,3,2,3,1,2,3,3,5,1,1,1,1,1,1,2,3,3,
3,1,2,1,2,1,1,1,1,1,1,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,45,1,60,60,15,15,45,36,60,60,45,45,20,20,36,15,30,30,15,15,15,45,
36,60,60,15,15,45,10,36,15,15,10,6,6,15,15,10,6,6,1],[1,18,72,45,64,48,6,144,
15,45,135,108,180,270,108,144,192,288,144,45,45,18,90,90,108,135,270,360,360,
216,108,108,144,432,54,108,216,64,96,240,24,36,48,144,144,6,9,45,15,180,135,
270,27,36,54,108,216,54,108,216,54,108,216,54,108,216,64,72,144,192,144,36,72,
72,144,18,45,27,36,54,108,18,108,216,27,54,108,48,24,3,60,24,36,36,72,36,72,1,
9,54,9,54,48,12,72,18,9,36,72,9,12,1,3,9,9,12,3,9,1,1],[1,6,36,72,9,12,16,96,
2,12,24,72,72,72,72,3,18,3,4,9,36,36,36,18,72,72,72,72,18,36,72,36,72,72,72,
96,384,96,48,3,18,24,6,24,36,72,72,9,18,36,18,18,24,36,18,18,72,72,72,72,18,9,
36,24,72,72,48,72,72,72,144,144,36,36,36,36,72,72,144,144,72,144,72,72,72,36,
18,18,36,36,72,72,18,72,64,8,12,40,24,192,8,48,64,16,32,96,48,96,48,6,8,24,72,
72,9,1,6,9,12,9,18,36,36,36,36,144,18,36,72,9,18,18,18,36,18,18,72,72,72,36,
36,18,18,18,72,72,18,36,36,36,72,18,18,18,72,18,36,36,72,72,36,36,18,18,72,36,
36,72,72,64,48,24,48,96,48,96,144,48,12,24,24,24,24,24,48,48,96,3,18,18,24,9,
18,18,18,18,18,18,72,18,18,18,72,36,36,72,72,36,18,9,9,36,36,9,18,18,36,32,16,
4,24,1,2,24,32,8,24,8,8,12,12,24,24,24,24,24,12,24,24,24,1,9,36,9,9,9,9,9,36,
32,16,6,12,12,12,12,48,3,6,24,24,24,12,24,9,4,8,1,1,2,3,6,6,3,4,8,3,6,3,1,1],[
1,18,45,72,64,48,6,15,45,36,135,180,216,270,36,216,192,288,144,45,54,45,90,90,
135,270,72,360,360,36,108,216,432,216,108,54,216,64,96,240,24,36,48,144,144,6,
9,45,15,180,135,270,9,54,54,108,54,108,216,216,54,54,108,108,216,216,64,48,
288,72,144,36,72,72,144,18,45,9,54,54,108,54,72,216,27,54,108,48,24,3,60,24,
36,36,72,36,72,1,27,36,27,36,48,36,48,18,9,36,72,9,12,1,3,9,9,12,3,9,1,1],[1,
6,36,9,36,16,96,2,12,24,72,72,3,54,48,3,4,9,36,36,18,72,72,72,18,36,72,36,48,
64,96,144,9,36,18,24,6,24,36,72,72,9,18,36,18,24,36,72,72,72,18,9,36,24,72,72,
48,72,72,72,144,144,36,48,36,72,144,18,36,72,64,8,12,40,24,192,8,48,64,16,48,
32,48,3,6,8,24,72,72,1,6,9,12,9,18,36,36,36,36,144,18,36,72,9,12,18,36,72,18,
36,72,18,36,72,18,36,72,64,48,64,36,24,24,24,24,24,48,48,3,18,18,24,9,12,6,36,
18,36,72,9,18,36,32,16,4,24,1,2,24,32,12,8,24,8,8,12,12,1,3,18,3,18,16,4,24,3,
6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,18,24,45,64,48,6,48,15,45,135,36,180,270,
36,48,64,144,96,45,45,6,90,90,36,135,270,360,360,72,36,36,48,144,18,36,72,64,
96,240,24,36,48,48,48,6,3,45,15,180,135,270,9,12,18,36,72,18,36,72,18,36,72,
18,36,72,64,48,64,36,24,72,72,48,18,45,9,12,18,36,6,36,72,9,18,36,48,24,3,60,
12,24,36,12,1,3,18,3,18,16,4,24,9,6,12,3,12,1,3,3,3,4,1,3,1,1],[1,18,45,24,64,
48,6,15,45,12,135,180,72,270,12,72,64,144,96,45,18,45,90,90,135,270,24,360,
360,12,36,72,144,72,36,18,72,64,96,240,24,36,48,48,48,6,3,45,15,180,135,270,3,
18,18,36,18,36,72,72,18,18,36,36,72,72,64,16,96,36,72,24,72,48,18,45,3,18,18,
36,18,24,72,9,18,36,48,24,3,60,24,36,12,12,1,9,12,9,12,16,12,16,9,6,12,3,12,1,
3,3,3,4,1,3,1,1],[1,18,36,45,12,64,48,6,72,15,18,45,135,36,18,72,72,180,270,
72,36,36,16,48,144,192,3,45,45,18,90,72,90,9,18,18,24,18,135,270,360,360,24,
72,72,72,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,64,96,240,24,36,48,
48,48,6,45,15,180,9,9,36,135,270,36,36,9,36,9,36,18,36,18,18,18,36,18,18,18,
18,18,36,36,36,144,36,144,18,18,36,18,36,36,36,144,144,64,12,12,24,48,36,72,
96,96,72,16,18,45,3,36,9,9,9,9,36,36,72,36,6,6,18,18,36,18,18,18,36,18,18,36,
18,36,9,48,24,3,60,24,36,12,12,24,24,1,18,18,18,18,9,9,16,1,3,12,9,12,24,24,3,
12,1,3,3,3,4,3,1,1,1],[1,6,36,12,9,12,36,16,96,2,12,24,72,72,3,18,3,4,18,9,36,
36,18,18,72,72,72,72,36,72,18,36,72,72,72,18,18,36,16,48,96,192,48,3,9,18,3,
18,24,6,24,36,24,72,72,18,9,18,36,18,24,36,72,72,72,18,9,36,18,18,72,24,72,72,
72,24,72,72,48,72,72,72,144,144,18,18,18,18,18,18,18,18,72,36,36,72,36,36,72,
72,18,18,9,9,18,18,18,72,72,64,8,12,40,24,192,8,48,64,16,32,48,48,6,8,24,72,
72,9,1,6,36,9,12,9,18,36,36,36,36,144,9,36,18,36,72,18,18,9,36,9,36,9,9,18,18,
18,18,18,18,9,9,9,9,18,9,9,18,18,18,18,36,36,72,72,18,18,72,72,18,18,18,18,18,
18,18,36,36,72,72,72,72,64,12,12,24,12,24,48,24,24,96,24,24,96,48,16,3,3,18,
18,24,18,18,9,9,9,9,36,18,18,36,36,36,18,18,18,18,3,3,6,9,9,9,9,18,18,9,9,18,
18,18,18,9,9,18,18,9,32,16,4,24,1,2,24,32,8,24,8,8,12,12,24,12,24,1,9,9,18,18,
9,9,9,9,16,1,3,3,12,6,12,12,12,24,3,4,8,1,1,2,3,3,4,3,1,1,1],[1,18,36,45,12,
64,48,6,72,15,18,45,135,36,18,72,72,180,270,72,36,36,48,16,144,192,3,45,45,18,
90,72,90,9,18,18,24,18,135,270,360,360,24,72,72,72,36,36,36,36,72,72,72,72,
144,18,18,18,18,18,18,144,64,96,240,24,36,48,48,48,6,45,15,180,9,9,36,135,270,
36,36,9,36,9,36,18,36,18,18,18,36,18,18,18,18,18,36,36,36,144,36,144,18,18,36,
18,36,36,36,144,144,64,12,12,24,48,36,96,72,96,72,16,18,45,3,36,9,9,9,9,36,36,
72,36,6,6,18,18,36,18,18,18,36,18,18,36,18,36,9,48,24,3,60,24,36,12,24,12,24,
1,18,18,18,18,9,9,16,1,3,9,12,12,24,24,3,12,1,3,3,3,4,3,1,1,1],[1,15,12,72,16,
96,5,18,16,30,108,72,18,72,108,96,384,96,48,3,12,15,18,18,18,108,108,36,36,
144,9,18,36,54,36,12,18,36,64,20,4,40,80,48,32,16,96,48,96,48,1,1,3,3,9,9,18,
36,54,9,18,36,54,36,18,36,18,36,36,64,72,24,48,144,144,12,12,24,12,96,48,3,3,
18,18,9,9,9,18,9,18,9,18,18,16,32,1,4,5,4,4,8,12,12,12,24,12,12,24,12,12,12,1,
9,9,9,9,9,9,32,16,6,12,18,3,3,12,12,24,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,
3,1,1],[1,18,60,45,20,6,120,15,30,45,135,60,30,120,120,180,270,120,60,60,80,
80,16,5,45,45,30,90,120,90,15,30,30,40,30,135,270,360,360,40,120,120,120,60,
60,60,60,120,120,120,120,240,30,30,40,30,30,40,80,30,30,80,240,80,16,48,48,6,
45,15,180,15,15,60,135,270,60,60,20,20,15,60,15,60,30,60,30,30,20,80,30,20,60,
20,80,20,30,30,30,30,30,60,60,60,240,60,240,30,30,60,30,60,60,60,240,240,40,
40,40,16,48,48,32,32,18,45,5,60,15,15,15,15,60,60,120,60,10,10,30,30,60,30,30,
30,60,30,10,40,10,30,60,30,60,15,20,20,20,20,20,20,20,20,20,40,16,16,16,1,10,
30,30,30,30,5,5,10,15,15,10,10,10,20,20,20,20,1,16,5,5,5,10,10,1,3,3,5,1,3,3,
2,2,1,1,1,1],[1,3,45,60,15,4,90,1,15,15,45,30,90,5,45,45,90,90,30,90,6,40,10,
30,300,30,60,60,15,15,45,45,30,90,90,90,90,90,45,45,45,40,6,18,18,1,20,60,60,
25,20,20,10,30,30,30,60,60,30,60,30,60,30,24,5,45,45,45,45,45,45,40,40,40,6,
18,18,36,36,10,60,90,60,60,60,15,15,10,30,30,30,60,30,30,30,24,45,10,20,40,6,
18,18,5,5,5,5,15,15,15,15,30,1,6,24,10,10,20,10,18,15,15,15,15,3,6,6,5,10,4,1,
3,3,6,5,4,3,1,1],[1,18,108,45,36,64,6,12,24,72,216,144,15,54,48,45,4,135,108,
36,54,72,216,216,180,270,36,216,108,48,108,144,64,192,192,9,36,45,45,54,24,90,
24,36,216,72,90,27,54,36,36,54,72,72,36,72,72,72,54,135,36,270,360,360,72,72,
216,48,216,72,216,144,144,108,48,108,108,108,216,144,144,288,216,216,216,216,
216,432,144,54,54,54,54,108,72,144,54,108,72,54,216,432,72,72,32,192,48,64,64,
192,192,6,3,6,8,24,72,72,9,45,15,6,180,27,12,27,18,36,36,108,36,144,135,270,
18,108,72,108,27,36,27,12,54,27,108,27,108,18,18,18,54,108,108,54,108,54,18,
54,36,72,36,36,144,18,36,18,72,72,18,54,108,54,36,72,36,144,54,108,72,72,54,
54,54,54,54,108,108,108,108,216,432,108,432,54,108,72,54,108,72,54,108,72,144,
54,54,108,108,108,432,108,216,72,144,432,216,216,216,216,48,64,48,96,192,48,
96,96,64,18,45,9,18,18,24,108,27,54,27,27,27,27,108,108,216,27,12,36,108,18,
18,36,54,54,36,108,36,18,6,6,18,18,18,18,36,72,54,36,72,54,54,18,18,54,54,54,
108,54,36,72,72,144,108,18,54,18,36,27,18,36,54,18,72,27,54,18,36,108,54,108,
36,36,27,36,108,36,36,108,108,54,54,54,54,54,54,108,54,54,108,54,54,108,24,36,
36,36,72,36,36,72,36,36,36,72,72,108,108,108,108,108,108,108,108,108,108,108,
108,4,24,24,32,32,48,48,48,96,96,1,1,6,18,3,18,9,36,18,9,9,18,18,18,9,18,27,
18,36,54,18,54,54,54,6,18,18,54,27,27,18,18,18,18,36,18,18,27,9,27,27,27,54,
54,36,36,36,36,36,36,36,36,54,54,18,36,18,54,108,54,54,54,54,54,108,108,108,
108,108,108,108,4,24,12,24,48,12,48,24,24,3,9,9,3,18,54,27,27,9,9,18,9,9,9,18,
18,18,18,18,36,18,54,1,4,12,12,24,24,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,18,
36,24,45,12,72,64,6,12,24,72,72,48,15,18,45,4,36,135,36,36,36,18,72,72,72,144,
180,216,144,270,36,72,144,144,36,36,36,36,216,48,64,192,192,3,45,54,45,18,6,
36,24,90,24,36,48,72,72,90,36,9,18,36,18,24,36,36,72,72,72,18,135,36,36,270,
36,144,72,360,48,144,360,144,144,24,72,72,48,72,72,72,144,144,36,36,36,108,36,
36,72,72,36,36,36,36,36,36,48,72,144,72,72,216,72,144,72,432,216,72,72,144,
144,144,144,18,108,18,36,18,18,54,72,18,36,36,72,72,18,36,18,36,216,144,144,
144,144,72,72,96,240,64,192,192,6,9,3,6,8,24,72,72,45,18,15,6,180,72,9,12,9,
18,36,36,36,36,144,135,18,270,72,18,36,72,9,18,36,36,36,9,18,12,9,18,36,72,9,
18,54,36,36,72,18,18,18,18,36,36,36,36,36,36,36,18,36,18,18,18,18,18,36,36,36,
36,72,54,18,36,36,18,36,108,36,36,18,36,36,72,18,18,54,36,36,108,18,36,216,
216,18,18,54,72,18,36,18,18,18,18,36,18,36,36,36,36,36,72,36,72,36,72,72,144,
144,144,18,54,18,72,36,36,36,144,144,144,18,36,18,36,36,36,36,18,108,18,36,36,
36,108,216,144,36,72,36,72,144,144,144,36,72,72,216,144,144,144,144,72,72,72,
72,72,72,72,144,72,144,48,48,64,288,48,96,96,64,18,45,6,3,18,18,24,9,18,36,36,
36,9,18,9,18,9,18,9,18,36,72,36,36,36,72,72,72,9,18,12,54,36,36,72,6,6,18,18,
18,18,18,36,36,36,36,36,36,36,36,6,6,6,6,12,18,18,18,18,18,18,18,18,36,18,36,
36,72,54,18,18,18,36,18,36,36,36,108,18,18,54,18,18,18,36,18,72,216,18,18,36,
9,18,18,36,18,36,36,36,36,27,18,54,36,18,18,18,18,36,36,36,36,18,36,108,9,18,
36,36,36,36,36,36,72,36,72,36,18,18,18,18,36,18,18,18,18,36,18,18,18,18,18,18,
36,36,36,36,36,36,18,36,18,36,18,36,18,36,36,36,36,24,36,36,36,72,36,36,36,72,
36,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,24,60,32,48,48,96,48,96,1,1,6,18,3,
18,27,36,9,9,3,6,18,18,18,18,18,36,18,36,27,18,36,18,18,18,18,18,18,18,6,18,
18,18,36,9,18,9,18,18,36,18,18,18,18,18,9,9,18,9,18,9,18,9,18,18,18,18,18,36,
36,36,36,36,36,36,36,36,18,18,18,18,36,18,18,36,18,36,18,36,36,36,36,18,36,18,
18,18,18,36,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,4,24,36,48,12,48,24,24,3,9,3,3,6,18,36,18,9,18,9,18,9,9,18,9,9,9,18,18,18,
18,18,18,36,18,18,18,1,4,12,12,24,24,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,18,
36,72,45,12,24,64,6,72,144,48,144,15,18,16,45,12,135,36,108,18,72,72,144,144,
180,72,270,72,144,12,36,108,36,72,144,192,64,192,3,12,45,18,45,18,18,36,90,72,
90,9,18,36,12,18,24,24,108,36,96,144,18,135,36,270,24,360,360,144,24,72,96,72,
72,12,36,36,36,36,36,216,72,36,108,36,72,72,36,108,36,72,72,144,288,72,72,144,
72,72,72,144,72,72,144,144,432,18,36,18,18,54,18,72,18,36,36,36,108,72,72,72,
216,144,18,36,36,36,18,72,72,144,144,24,24,72,72,96,240,64,192,192,6,1,3,9,12,
3,18,45,18,15,180,9,12,9,36,135,270,36,3,18,36,36,27,18,36,36,9,18,36,36,9,12,
18,9,18,36,36,12,36,36,9,18,36,6,6,36,18,24,18,36,72,6,18,36,36,36,36,36,36,
36,36,72,18,36,18,54,18,36,108,216,18,36,54,36,36,36,108,216,18,36,36,18,36,
18,36,72,18,36,72,72,72,18,18,18,72,18,54,18,18,72,18,36,36,36,18,36,36,36,36,
72,72,36,36,36,108,72,72,36,72,216,144,144,54,18,18,72,36,36,144,18,36,36,36,
18,36,36,36,18,36,18,36,72,72,144,18,36,18,36,36,72,36,36,144,144,36,36,36,72,
72,72,108,36,36,72,72,216,144,72,144,24,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,16,144,192,96,48,96,96,64,18,45,3,3,18,
36,9,36,18,18,9,9,9,18,36,9,36,36,36,72,27,18,36,36,9,12,12,36,36,36,18,36,6,
6,18,18,54,36,36,108,6,18,18,18,18,36,108,216,18,18,18,36,18,18,36,36,18,18,
18,18,36,18,24,36,36,72,36,72,6,18,36,36,27,54,108,36,9,18,18,9,9,18,18,18,36,
18,36,36,36,9,12,36,12,12,36,36,36,36,36,72,72,36,36,36,72,72,36,36,36,36,72,
72,18,18,18,18,18,36,72,36,36,36,72,72,18,18,36,36,36,18,18,18,72,18,18,36,36,
36,18,18,36,18,18,18,18,36,36,18,18,36,36,36,24,72,72,36,36,36,36,72,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,36,36,72,72,36,36,
36,36,36,36,36,36,72,72,36,36,36,36,24,60,16,48,96,48,96,1,2,6,9,54,9,12,3,3,
18,9,12,9,18,36,9,18,54,3,9,9,12,18,18,18,18,18,6,6,18,9,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,9,18,18,18,18,18,12,36,36,36,36,36,12,
36,36,12,36,36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,36,
18,18,18,18,18,18,18,36,36,36,72,36,36,36,36,36,36,36,36,72,36,36,36,12,72,12,
16,12,16,24,24,9,3,3,3,9,18,18,18,18,3,6,18,6,18,9,9,9,9,9,9,18,9,9,9,9,18,18,
18,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,24,24,1,9,9,9,
9,9,9,18,18,1,3,3,12,3,1,3,3,1],[1,10,60,56,21,36,24,64,2,12,24,72,72,112,48,
144,3,54,48,9,4,12,39,60,36,84,30,72,120,72,144,144,36,72,48,66,36,120,144,48,
12,60,36,48,36,48,24,48,48,48,64,64,128,64,128,9,36,3,18,7,18,14,36,24,14,24,
36,16,72,72,6,12,15,30,36,36,12,18,24,24,36,84,36,72,72,72,96,144,30,15,36,36,
30,12,48,24,32,16,48,48,144,48,24,72,120,96,48,72,72,72,144,144,12,60,36,48,
36,36,36,72,72,36,36,36,72,72,60,36,36,120,72,144,48,48,48,96,96,96,48,48,48,
48,96,24,24,24,48,48,48,24,48,24,72,24,96,48,48,96,96,48,48,144,96,96,6,12,18,
12,24,18,18,18,72,18,36,36,36,36,72,72,72,24,24,72,48,48,48,96,30,36,36,60,72,
6,12,24,48,24,48,48,96,48,96,24,72,72,24,32,192,48,64,64,64,128,64,128,3,3,7,
6,12,8,24,72,72,3,18,3,18,1,6,12,24,15,12,12,9,18,36,36,36,36,144,3,6,12,24,
18,36,72,3,18,12,12,12,9,18,36,12,24,9,18,36,12,12,12,15,12,12,6,12,9,18,36,
12,24,12,36,36,3,6,6,12,24,24,24,6,36,18,24,18,36,72,6,6,12,24,24,24,24,6,12,
12,12,12,12,12,24,24,12,12,12,12,24,24,24,24,12,24,24,24,24,6,6,6,18,36,72,12,
12,12,12,12,12,24,24,24,48,48,48,6,6,12,12,6,12,12,12,12,6,12,12,24,24,48,24,
24,24,6,6,6,12,12,12,6,12,12,24,18,36,72,12,12,12,24,24,24,48,48,48,18,12,24,
24,24,24,24,24,24,24,48,18,18,18,72,6,12,18,18,18,72,18,36,36,36,6,12,36,36,
36,72,72,12,24,36,36,36,72,72,12,24,24,48,24,24,72,96,48,48,48,18,18,18,72,12,
12,12,48,48,48,30,36,60,36,72,30,60,36,36,72,6,12,12,12,12,18,36,72,24,24,24,
48,48,48,12,24,6,12,18,12,24,12,12,12,24,48,24,24,24,24,24,24,48,48,96,96,36,
36,36,72,72,24,48,36,36,36,72,72,24,24,72,48,48,48,96,24,48,96,48,48,96,24,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,24,48,24,48,
48,64,16,32,32,64,64,64,64,16,32,32,64,32,64,64,1,2,3,18,18,24,3,18,12,12,12,
9,36,18,6,12,3,6,3,6,9,18,36,3,6,12,24,12,12,12,24,24,24,9,18,36,12,24,15,12,
12,12,36,36,12,12,12,6,12,24,24,24,6,36,6,12,6,12,6,6,6,12,12,12,12,24,12,12,
12,12,12,12,6,12,2,2,2,2,4,6,6,6,6,6,6,6,6,12,6,12,12,12,12,24,24,24,24,48,18,
36,72,6,12,6,12,12,12,12,6,6,6,6,12,6,12,12,12,12,6,6,6,12,24,6,12,12,12,12,
12,24,24,48,24,24,24,48,48,48,24,24,24,12,24,6,6,12,12,24,3,6,6,12,6,12,12,24,
12,12,12,9,18,36,6,12,6,6,6,24,24,24,3,6,3,6,6,12,6,12,6,6,6,12,12,12,12,24,
12,12,12,12,24,3,6,12,12,12,12,12,36,36,36,36,36,72,72,36,36,36,72,72,12,24,
12,36,36,36,72,72,6,12,6,6,6,6,12,6,12,18,36,72,36,36,36,72,72,18,36,36,36,18,
18,18,72,6,12,6,12,6,12,12,24,12,12,12,12,12,12,6,6,6,6,6,6,12,12,12,12,12,12,
6,12,6,12,6,12,6,12,12,24,6,12,6,12,12,12,12,12,24,12,24,24,72,72,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,12,24,12,24,24,24,24,
12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,12,12,12,24,24,24,12,24,12,24,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,12,24,12,24,12,12,12,12,12,12,4,24,24,32,16,16,32,32,64,16,32,32,64,1,2,6,
3,18,3,6,12,24,6,6,6,3,18,9,12,9,18,36,3,1,2,6,6,6,6,12,6,12,6,12,3,18,3,6,3,
6,6,6,6,12,24,6,6,6,6,12,6,6,6,12,3,6,3,6,3,6,3,6,6,6,6,6,12,6,6,6,6,6,6,6,12,
6,12,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,6,12,3,6,3,6,3,6,3,6,3,6,3,6,6,
6,6,6,12,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,36,
36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,12,12,12,12,12,12,12,6,12,6,6,6,6,12,6,12,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,6,12,12,12,12,6,12,6,12,6,6,6,6,12,12,24,12,24,6,12,6,12,12,12,
12,24,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,24,
24,24,24,12,12,12,12,12,12,12,12,12,4,24,4,8,8,8,8,16,32,4,8,16,8,8,8,8,16,3,
3,6,1,2,6,12,6,6,6,6,12,3,6,6,6,6,3,3,6,12,6,6,6,6,6,3,6,3,6,3,6,3,6,3,6,3,6,
6,6,6,3,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,3,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,12,6,
6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,8,4,8,4,8,4,
8,8,8,8,8,8,8,1,3,6,3,6,3,6,3,6,3,6,3,6,6,6,6,6,6,6,1,1,2,1,2,4,8,3,1,1,2,1,2,
1],[1,18,108,45,36,64,6,36,72,216,216,48,15,54,16,45,12,135,108,108,54,216,
216,216,180,270,108,216,108,48,108,144,192,64,192,9,12,45,45,54,72,90,72,108,
216,216,90,27,54,108,12,54,72,24,108,216,216,216,54,135,108,270,360,360,72,
216,216,144,216,216,216,432,432,108,48,108,108,108,72,144,144,288,216,72,216,
216,216,432,144,54,54,54,54,36,72,144,54,36,72,54,72,432,24,24,48,16,32,48,64,
192,192,6,1,18,24,72,216,216,3,45,15,18,180,27,36,27,54,108,108,108,108,432,
135,270,54,108,216,108,9,36,9,12,18,27,108,27,108,6,6,6,18,36,36,54,108,54,54,
54,36,72,108,36,144,54,108,54,72,72,54,54,108,18,36,72,36,144,18,36,72,72,54,
54,54,54,54,108,108,36,108,72,432,108,432,18,36,72,54,36,72,54,108,72,144,18,
54,108,108,108,432,36,72,72,144,432,72,72,72,72,16,48,48,48,96,48,48,96,48,48,
48,96,96,96,64,96,96,18,45,9,54,54,72,108,9,18,27,27,27,27,108,108,216,9,12,
36,108,18,18,36,54,54,108,108,108,6,18,18,54,54,54,54,36,72,18,36,72,18,18,54,
54,54,54,54,108,54,36,72,72,144,36,6,18,54,108,9,18,36,18,18,72,9,54,54,108,
108,54,108,36,36,27,12,36,12,12,36,36,18,18,18,18,18,18,36,18,18,36,18,18,36,
72,36,36,36,72,36,36,72,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,36,36,4,
16,32,48,48,48,48,96,48,48,96,48,48,96,96,96,96,1,3,2,6,3,18,9,36,18,3,3,54,
54,54,3,18,9,18,36,54,54,54,54,54,18,6,6,18,9,9,18,18,18,18,36,18,18,27,27,27,
9,9,18,18,36,36,36,36,36,36,36,36,18,18,18,36,18,18,36,18,18,18,18,18,36,36,
36,36,36,36,36,4,12,12,12,12,16,48,48,3,9,9,9,6,18,9,9,9,9,18,9,9,27,18,18,18,
18,18,36,18,18,4,8,24,12,12,12,12,12,12,12,12,24,3,1,3,9,9,9,9,4,12,12,3,1,
1],[1,18,60,45,20,64,6,12,24,72,120,48,15,30,16,45,4,135,60,36,30,72,120,120,
180,270,36,120,60,16,60,48,320,5,12,45,45,30,24,90,24,36,120,72,90,15,30,36,
12,30,40,24,36,72,72,72,30,135,36,270,360,360,40,72,120,48,120,72,120,144,144,
60,16,60,60,60,72,48,48,96,120,72,120,120,120,240,48,30,30,30,30,36,24,48,30,
36,24,30,72,240,24,24,96,240,64,64,64,6,1,6,8,24,72,72,3,45,15,6,180,15,12,15,
18,36,36,60,36,144,135,270,18,60,72,60,9,12,9,4,18,15,60,15,60,6,6,6,18,36,36,
30,60,30,18,30,12,24,36,12,48,18,36,18,24,24,18,30,60,18,12,24,12,48,18,36,24,
24,30,30,30,30,30,60,60,36,60,72,240,60,240,18,36,24,30,36,24,30,60,24,48,18,
30,60,60,60,240,36,72,24,48,240,72,72,72,72,80,160,160,64,18,45,5,18,18,24,60,
9,18,15,15,15,15,60,60,120,9,4,12,60,10,10,12,30,30,36,60,36,6,6,6,18,18,18,
18,12,24,18,12,24,18,18,18,18,30,30,30,60,30,12,24,24,48,36,6,18,18,36,9,6,12,
18,6,24,9,30,18,36,60,30,60,12,12,15,12,36,12,12,36,36,18,18,18,18,18,18,36,
18,18,36,18,18,36,24,12,12,12,24,12,12,24,12,12,12,24,24,36,36,36,36,36,36,36,
36,36,36,36,36,24,60,16,32,48,16,1,1,2,6,1,6,3,12,6,3,3,18,18,18,3,6,9,6,12,
30,18,30,30,30,6,6,6,18,9,9,6,6,6,6,12,6,6,15,9,15,9,9,18,18,12,12,12,12,12,
12,12,12,18,18,6,12,6,18,36,18,18,18,18,18,36,36,36,36,36,36,36,20,40,40,16,1,
3,5,3,6,18,9,9,3,3,6,3,3,9,6,6,6,6,6,12,6,18,1,4,8,12,4,1,1,1,3,3,3,3,5,4,1,1,
1,1,1],[1,18,36,8,45,12,24,64,6,12,24,72,72,16,15,18,45,4,12,135,36,36,12,18,
72,72,72,48,180,72,48,270,36,72,48,48,12,36,12,36,72,16,192,128,3,45,18,45,18,
2,12,24,90,24,36,16,72,72,90,12,9,18,36,18,24,36,12,72,72,72,18,135,36,12,270,
12,48,24,360,16,48,360,48,48,24,72,72,48,72,72,72,144,144,12,36,12,36,12,36,
24,24,36,12,12,36,12,12,16,72,48,24,72,72,72,48,24,144,72,72,24,48,48,144,48,
18,36,18,12,18,6,18,24,18,12,12,24,24,18,12,18,12,72,48,48,144,48,24,24,32,
192,48,64,64,64,64,6,3,1,6,8,24,72,72,45,6,15,6,180,24,9,12,9,18,36,36,36,36,
144,135,6,270,24,18,36,72,3,6,36,12,12,3,6,4,9,6,36,24,9,6,18,12,36,24,6,6,6,
6,12,12,12,12,12,12,12,18,36,18,18,6,6,18,12,36,12,12,24,18,18,12,12,6,12,36,
36,12,18,12,12,24,6,18,18,12,12,36,18,36,72,72,6,18,18,24,18,12,6,18,6,18,12,
18,12,12,36,12,36,24,12,24,36,24,24,48,48,144,6,18,6,24,12,36,12,48,48,144,18,
12,18,12,12,36,12,6,36,18,12,12,36,36,72,48,36,24,36,24,48,48,144,12,24,24,72,
48,144,48,48,24,24,24,24,24,24,24,48,24,48,48,32,96,64,96,64,64,18,45,2,3,18,
18,24,3,6,12,12,36,9,6,9,6,9,6,9,6,36,24,12,12,36,72,24,24,3,6,4,18,12,36,24,
6,6,18,18,6,6,6,36,12,12,36,12,12,12,36,6,2,2,6,4,6,6,18,6,6,18,6,18,12,18,12,
12,24,18,18,6,18,12,6,12,12,12,36,6,6,18,18,18,18,36,18,24,72,6,6,12,3,6,18,
12,6,12,12,36,12,9,6,18,12,18,6,18,6,36,12,12,36,18,36,36,9,6,12,12,12,12,12,
12,24,12,24,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,6,12,6,12,
6,12,6,12,12,12,12,24,12,12,12,24,12,12,12,24,12,24,12,24,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,4,24,24,32,16,32,48,16,1,1,2,6,1,6,9,12,3,3,1,2,6,18,6,6,18,12,18,
12,9,6,12,18,18,6,6,18,18,18,6,6,6,6,12,3,6,3,6,6,12,6,6,6,6,6,9,9,6,9,6,3,6,
3,6,6,6,6,6,12,12,12,12,12,12,12,12,12,6,6,6,6,12,6,6,12,6,12,6,12,12,12,12,6,
12,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,8,24,8,8,24,16,16,1,3,3,3,2,6,12,6,3,6,3,6,3,3,6,3,3,9,6,6,6,6,6,6,
12,6,6,6,1,4,8,4,8,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,10,84,48,21,12,64,2,12,
24,72,120,96,96,48,3,18,9,4,39,84,36,72,42,72,72,120,48,36,66,36,72,36,24,60,
48,48,64,96,48,128,128,64,3,3,7,30,12,24,14,24,36,72,72,6,21,18,36,12,24,30,
24,48,36,72,12,72,72,72,48,18,15,36,30,32,48,24,72,72,48,120,72,72,144,144,12,
36,48,36,24,24,24,12,24,48,24,48,48,96,192,96,192,96,120,48,96,96,72,96,48,24,
96,96,48,144,18,24,30,24,6,12,6,12,24,24,24,24,24,48,96,48,48,96,18,12,18,96,
48,48,96,24,24,32,192,48,64,64,64,64,6,6,8,24,72,72,6,6,3,1,6,12,9,12,15,18,
36,36,36,36,144,3,12,18,36,72,12,6,16,6,6,24,12,12,24,12,3,12,12,9,12,24,6,6,
6,6,12,12,12,24,24,48,24,24,12,6,6,24,12,24,12,24,24,48,48,96,12,6,24,12,6,24,
48,48,48,24,24,6,12,18,12,12,12,12,24,12,48,96,48,48,12,12,36,24,48,48,24,48,
48,24,24,6,18,12,6,18,12,18,24,12,24,12,12,24,24,36,96,48,72,96,12,12,96,12,
12,6,18,12,6,24,48,48,24,96,48,48,30,24,6,12,48,24,24,48,12,12,24,24,96,48,24,
24,48,24,72,48,48,96,48,24,24,24,24,72,24,24,72,32,32,64,64,128,64,64,16,32,
32,64,1,3,18,18,24,12,6,6,24,12,3,9,3,3,24,12,24,6,12,12,12,24,12,12,12,12,12,
12,12,12,2,2,12,6,12,6,6,6,12,12,24,24,48,48,6,18,12,12,12,6,6,12,12,12,24,24,
24,48,48,24,48,24,48,96,48,24,24,6,6,12,6,12,12,12,12,12,12,6,6,24,48,24,6,6,
6,6,6,12,12,12,24,12,24,24,12,3,12,12,12,36,12,12,6,6,6,12,18,6,12,12,24,12,6,
12,24,12,6,6,12,12,12,12,12,24,48,12,12,12,12,24,12,12,12,12,12,12,24,12,24,
24,12,12,12,24,12,24,12,24,12,24,12,48,24,24,12,12,24,24,12,12,4,24,24,32,16,
32,16,32,16,1,6,6,24,24,1,3,12,6,6,3,3,6,6,6,6,6,6,6,12,6,24,24,6,6,3,3,6,6,6,
6,6,12,3,3,6,6,6,6,6,12,6,3,3,6,6,6,6,12,12,24,12,12,12,12,12,12,12,24,12,12,
12,12,6,6,6,6,6,12,6,6,6,12,12,24,12,12,24,12,12,24,12,12,24,8,8,8,8,16,32,32,
4,8,8,16,6,6,1,6,6,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,12,6,6,12,6,6,1,4,4,4,8,8,
1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,18,12,48,45,4,48,64,6,24,96,48,15,6,45,24,
135,12,72,6,24,24,48,180,144,48,270,24,48,24,12,72,16,12,144,96,48,128,128,64,
1,45,36,45,6,12,90,24,90,12,3,6,12,6,8,72,12,48,6,135,270,12,48,360,48,360,8,
24,24,24,24,12,72,12,144,12,72,24,24,12,72,24,96,96,24,24,24,144,24,48,24,288,
144,24,24,48,48,96,288,96,6,72,6,12,6,36,36,6,12,72,24,24,24,144,48,48,6,12,
24,6,12,144,48,48,48,24,24,96,240,64,64,64,6,6,6,6,45,15,180,3,3,12,135,6,270,
12,6,12,12,18,24,6,12,12,4,3,12,12,3,6,36,12,12,6,6,6,24,6,12,12,12,12,12,24,
24,6,24,12,6,36,6,6,12,12,12,72,144,24,36,12,36,12,72,72,24,144,6,36,12,72,6,
12,12,12,12,24,24,24,24,24,144,144,6,36,6,12,36,6,6,12,6,12,24,12,12,72,12,24,
144,48,36,36,12,12,48,48,12,6,6,12,12,12,12,6,24,24,48,6,72,6,12,12,12,72,144,
48,12,12,24,48,12,12,24,72,24,144,48,144,48,48,48,24,24,24,24,24,24,24,48,24,
48,32,96,128,192,16,32,32,64,18,45,1,6,12,12,6,3,6,3,3,3,12,12,24,18,24,12,12,
36,12,12,2,2,6,6,12,36,6,12,12,72,12,12,12,72,144,12,12,12,36,12,12,72,6,36,6,
6,6,12,6,48,12,12,24,144,6,6,12,18,36,72,6,6,6,18,36,6,6,12,12,6,12,12,12,72,
3,12,12,12,24,12,12,12,6,6,6,12,6,12,12,12,12,12,12,12,6,6,12,12,12,6,6,12,12,
12,12,12,12,24,12,12,12,24,24,24,12,12,12,12,12,12,12,12,24,12,24,12,24,24,24,
24,12,12,12,12,12,12,12,12,24,24,12,12,12,12,24,24,12,12,24,60,16,32,16,32,16,
1,1,3,6,36,18,24,3,3,6,36,18,24,6,6,6,6,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,3,3,6,6,6,6,6,6,12,12,24,12,12,12,12,12,12,12,12,12,24,12,6,6,6,6,6,6,12,
6,6,12,12,24,12,12,24,12,12,24,12,12,24,8,48,24,32,4,8,8,16,6,6,1,6,6,3,3,6,6,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,2,1,4,3,1,1,
1,1],[1,18,36,48,45,12,64,6,12,24,72,72,96,48,15,18,45,4,135,36,36,72,18,72,
72,72,48,180,270,36,72,36,72,36,48,96,48,128,192,3,45,45,18,12,24,90,24,36,72,
72,90,9,18,36,12,18,24,36,72,12,72,72,72,48,18,135,36,270,360,360,24,72,72,48,
72,72,72,144,144,36,36,144,36,72,24,24,36,72,24,96,48,96,96,72,48,96,72,72,48,
72,144,48,288,18,18,24,18,36,18,12,72,24,24,24,144,48,48,18,12,18,48,144,24,
48,32,192,48,64,64,64,64,6,6,6,8,24,72,72,6,45,15,6,180,9,12,9,18,36,36,36,36,
144,135,270,18,36,72,36,18,24,6,12,12,12,9,36,12,9,36,6,12,12,24,18,36,24,18,
18,36,18,36,12,72,144,48,48,18,36,36,18,72,48,24,144,18,18,12,36,12,12,24,48,
48,12,24,24,24,48,18,18,36,18,18,12,18,36,24,36,12,72,36,48,144,144,36,36,144,
12,18,18,36,6,24,24,24,48,48,24,18,36,36,24,36,144,12,12,24,48,72,24,24,144,
48,48,144,24,24,24,24,24,24,24,24,24,32,64,64,64,48,96,96,64,18,45,3,18,18,24,
36,6,12,9,9,9,9,36,36,72,18,24,12,12,12,36,6,6,18,12,18,36,36,36,72,36,6,12,6,
18,18,18,18,72,12,144,48,12,12,18,18,18,18,18,36,18,12,12,12,48,24,24,48,48,
24,12,18,18,36,72,36,12,6,6,24,24,6,18,18,36,36,18,36,12,12,24,9,12,12,12,12,
6,6,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,
24,24,12,12,12,12,24,24,12,12,24,4,24,24,32,32,48,16,32,16,32,1,1,6,24,6,36,6,
6,3,6,18,36,18,18,6,6,6,24,18,18,18,18,18,6,3,3,3,6,6,6,6,3,3,6,6,9,9,9,6,6,
12,12,12,12,12,12,12,12,6,6,6,6,6,6,24,6,6,6,24,12,12,12,12,12,12,12,12,24,24,
8,8,8,32,12,24,24,16,32,6,6,3,3,3,6,6,3,3,3,9,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,
4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,18,36,48,45,12,64,6,12,24,72,72,96,
48,15,18,45,4,135,36,36,72,18,72,72,72,48,180,270,36,72,36,72,36,48,96,48,128,
192,3,45,45,18,12,24,90,24,36,72,72,90,9,18,36,12,18,24,36,72,12,72,72,72,48,
18,135,36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,144,36,72,24,24,36,
72,24,96,48,96,96,72,48,96,72,72,48,72,144,48,288,18,18,24,18,36,18,12,72,24,
24,24,144,48,48,18,12,18,48,144,24,48,96,240,64,64,64,6,6,6,8,24,72,72,6,45,
15,6,180,9,12,9,18,36,36,36,36,144,135,270,18,36,72,36,18,24,6,12,12,12,9,36,
12,9,36,6,12,12,24,18,36,24,18,18,36,18,36,12,72,144,48,48,18,36,36,18,72,48,
24,144,18,18,12,36,12,12,24,48,48,12,24,24,24,48,18,18,36,18,18,12,18,36,24,
36,12,72,36,48,144,144,36,36,144,12,18,18,36,6,24,24,24,48,48,24,18,36,36,24,
36,144,12,12,24,48,72,24,24,144,48,48,144,24,24,24,24,24,24,24,24,24,96,128,
48,96,96,64,18,45,3,18,18,24,36,6,12,9,9,9,9,36,36,72,18,24,12,12,12,36,6,6,
18,12,18,36,36,36,72,36,6,12,6,18,18,18,18,72,12,144,48,12,12,18,18,18,18,18,
36,18,12,12,12,48,24,24,48,48,24,12,18,18,36,72,36,12,6,6,24,24,6,18,18,36,36,
18,36,12,12,24,9,12,12,12,12,6,6,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,12,24,24,12,12,12,12,24,24,12,12,24,24,60,32,48,16,32,
32,16,1,1,6,24,6,36,6,6,3,6,18,36,18,18,6,6,6,24,18,18,18,18,18,6,3,3,3,6,6,6,
6,3,3,6,6,9,9,9,6,6,12,12,12,12,12,12,12,12,6,6,6,6,6,6,24,6,6,6,24,12,12,12,
12,12,12,12,12,24,24,8,48,12,24,24,16,32,6,6,3,3,3,6,6,3,3,3,9,6,6,6,6,6,6,6,
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],[1,18,36,45,12,48,64,
6,72,48,15,18,16,45,24,135,36,18,72,72,180,144,48,270,72,48,24,36,36,48,144,
48,128,192,3,12,45,36,45,18,90,72,90,12,9,18,12,18,24,24,18,135,270,12,48,360,
48,360,24,72,72,72,24,36,72,36,36,36,72,72,72,24,72,144,72,48,24,288,144,72,
24,96,48,144,96,18,72,18,12,24,18,36,18,36,24,48,18,36,18,12,72,48,144,48,48,
144,24,24,24,48,96,240,64,64,64,6,1,6,3,45,15,180,9,9,36,135,6,270,36,6,36,12,
9,12,9,18,12,9,36,9,6,36,12,36,6,6,6,6,6,18,36,6,12,12,12,36,24,24,18,36,18,6,
18,12,12,24,48,36,12,12,72,6,36,12,72,18,12,36,24,18,12,24,48,18,12,24,36,144,
144,18,36,18,12,18,18,18,36,36,36,36,72,24,144,36,36,12,48,144,18,36,18,36,18,
12,12,36,12,18,6,72,18,12,24,12,36,72,144,48,36,36,144,36,72,144,48,144,48,72,
72,72,24,48,72,24,48,24,24,24,48,48,48,48,32,192,48,96,96,64,18,45,3,6,12,36,
9,18,9,6,9,9,9,36,36,72,9,36,12,36,6,6,18,18,6,12,36,12,12,6,12,18,18,18,12,
36,12,12,72,6,36,18,18,18,36,18,12,48,36,144,6,18,6,6,9,18,6,24,9,6,18,36,18,
6,12,36,18,36,72,9,12,36,12,12,36,36,12,24,12,18,6,18,18,18,6,12,18,18,36,12,
12,6,6,12,12,18,12,18,12,36,18,18,6,6,36,12,12,12,24,12,12,12,12,24,12,24,12,
24,12,24,36,36,36,36,36,24,36,24,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,
36,36,12,12,36,12,36,12,24,24,24,24,24,24,24,24,24,48,24,60,16,16,32,32,16,1,
2,6,18,24,6,3,3,3,3,9,18,24,18,6,18,18,18,6,6,18,9,9,3,3,6,3,6,6,6,6,6,12,6,9,
9,9,6,9,18,6,18,6,6,12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,12,18,36,
18,6,18,18,18,18,36,12,12,6,6,6,36,36,12,12,36,36,36,36,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,32,12,24,24,16,6,3,3,6,
3,6,18,3,9,9,6,3,3,3,3,6,3,6,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,1,8,12,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,10,84,
8,21,12,24,64,2,12,24,72,120,16,96,3,18,9,4,12,39,84,36,12,42,72,72,120,48,36,
72,48,66,36,72,48,48,12,36,60,60,24,48,96,128,64,128,3,3,18,7,30,2,12,24,14,
24,36,16,72,72,6,12,21,18,36,24,30,24,48,36,12,72,72,72,18,15,36,12,30,12,48,
24,32,16,48,48,48,48,24,72,72,48,120,72,72,144,144,12,12,12,36,12,36,24,24,36,
12,12,12,12,12,48,96,96,192,96,120,48,24,72,24,96,48,24,48,24,24,24,144,48,96,
96,18,12,30,12,6,30,18,24,6,24,12,60,24,48,72,96,18,12,18,12,96,24,48,48,96,
48,24,24,24,48,32,192,48,64,64,64,64,3,1,6,8,24,72,72,6,3,6,1,6,12,24,9,12,15,
18,36,36,36,36,144,3,6,12,24,18,36,72,3,6,12,12,12,15,6,12,6,24,24,3,6,12,24,
9,6,6,12,24,24,6,6,6,6,6,6,12,6,12,12,12,36,12,12,12,24,24,24,12,6,18,6,6,12,
12,12,24,12,48,96,6,6,12,12,18,12,12,12,12,6,36,12,48,48,48,6,6,6,36,12,12,18,
12,12,24,24,96,12,36,24,48,48,6,6,18,24,18,12,6,6,6,18,12,18,12,12,12,12,12,
24,24,12,24,36,96,24,48,48,96,6,18,6,24,36,12,12,48,48,96,12,6,12,18,12,12,12,
12,24,48,96,30,6,12,6,12,12,12,12,24,48,48,24,24,24,48,48,48,24,96,12,24,48,
96,24,48,48,48,48,24,24,24,24,24,24,72,24,48,72,24,48,24,24,24,48,48,48,48,32,
64,128,16,32,32,64,32,64,64,1,2,3,18,18,24,3,6,12,12,12,6,24,3,6,9,6,3,6,3,6,
24,24,12,12,12,24,24,24,3,6,24,6,12,12,24,12,6,6,6,12,12,12,12,12,12,12,2,2,2,
2,4,6,6,6,6,6,6,18,6,12,6,12,24,48,6,18,12,6,6,6,6,12,18,12,12,12,12,6,6,6,12,
12,24,12,12,48,48,96,24,6,6,6,6,12,9,6,6,12,6,24,12,12,12,12,12,48,6,3,6,6,12,
6,6,6,6,12,12,12,12,24,24,3,6,12,12,12,12,12,12,12,24,36,12,24,12,6,6,6,6,12,
6,18,6,6,6,6,12,6,12,12,6,18,6,6,6,6,12,12,12,12,12,12,6,18,12,6,12,12,12,6,6,
6,12,6,12,12,12,12,12,12,36,24,24,12,12,12,12,12,12,12,24,24,24,12,24,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,24,12,12,12,12,12,12,12,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,
24,24,24,48,4,24,24,32,16,16,32,16,32,1,2,6,6,24,6,12,3,3,3,1,2,6,6,6,6,12,6,
12,6,3,6,12,24,6,6,6,6,6,6,6,12,3,3,6,3,6,3,9,6,6,6,6,12,6,6,3,6,3,6,3,6,9,6,
6,6,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,6,12,6,6,12,6,12,
6,12,12,12,12,6,12,6,6,6,6,12,12,6,12,6,12,12,12,12,6,6,6,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,8,16,32,4,8,8,8,8,8,16,16,6,1,2,3,3,6,6,
12,6,3,6,3,3,6,6,3,3,3,3,6,3,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,12,12,12,1,8,4,8,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,2,1,2,4,8,3,1,1,1,1],[1,
18,12,24,45,4,24,64,6,24,48,15,6,45,12,135,12,36,6,24,24,48,180,72,270,24,48,
12,12,36,16,12,48,72,48,48,48,64,64,64,1,45,18,45,6,6,12,90,24,90,3,6,6,8,36,
6,135,12,270,24,360,360,48,8,24,24,24,12,12,12,36,12,12,72,24,12,36,12,12,36,
12,48,24,48,24,72,24,144,72,24,48,48,144,6,36,6,24,6,18,18,24,6,12,36,24,24,
24,72,48,48,96,6,12,24,6,48,72,48,48,96,24,48,96,240,64,64,64,6,3,3,45,6,15,
180,3,3,12,135,270,12,3,6,12,12,9,6,12,24,12,12,4,12,3,6,12,3,18,12,24,6,24,
24,12,12,12,24,24,12,6,12,24,6,18,6,12,12,12,12,36,72,48,18,12,18,36,12,12,36,
24,24,72,18,12,36,6,12,12,12,12,12,48,12,24,72,72,6,6,18,24,6,18,6,6,6,12,6,
12,12,12,12,12,36,24,12,72,48,48,18,18,6,24,12,12,48,6,12,6,12,36,6,12,36,72,
12,12,48,48,36,24,72,72,48,24,24,24,24,24,24,24,24,24,16,48,64,96,16,32,32,64,
18,45,1,3,6,12,3,3,3,6,3,12,12,12,24,9,6,12,18,12,2,2,6,6,18,12,12,36,6,6,6,6,
12,36,72,18,6,12,36,18,6,6,6,12,6,24,72,12,9,18,12,36,12,6,6,6,24,6,9,18,6,12,
6,12,6,12,12,36,3,12,12,24,12,6,12,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,24,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,12,12,12,12,24,24,12,12,24,24,60,16,32,16,32,16,1,1,3,3,18,9,12,6,3,3,6,18,
9,12,6,6,6,6,6,3,6,6,6,6,12,6,3,3,6,6,6,6,6,6,6,12,3,3,3,3,6,12,12,12,12,6,6,
6,6,6,6,6,6,12,12,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,4,24,12,16,4,8,8,
16,3,3,1,3,3,3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,
3,1,1,1,4,3,1,1,1,1],[1,10,60,21,36,64,2,12,24,72,72,48,3,54,48,9,4,39,60,36,
30,72,120,72,36,66,36,120,60,48,48,36,48,64,48,64,64,64,9,36,3,7,18,24,14,24,
36,72,72,6,15,30,36,12,18,24,24,36,72,72,72,30,15,36,30,32,48,24,72,120,48,72,
72,72,144,144,60,48,36,36,60,120,144,48,96,48,48,24,48,72,96,48,6,24,18,18,24,
18,36,48,24,96,96,48,30,60,72,6,24,48,96,96,24,48,32,192,48,64,64,64,64,3,6,8,
24,72,72,3,3,1,6,12,15,12,9,18,36,36,36,36,144,3,12,18,36,72,12,24,12,16,9,12,
24,15,12,6,9,12,3,12,24,6,12,24,24,24,24,24,12,12,24,6,12,18,36,72,12,12,24,
48,48,12,6,12,12,24,6,24,24,24,48,6,12,6,12,18,36,72,24,12,48,18,24,24,24,24,
24,18,6,18,18,6,36,12,36,12,24,48,12,48,30,60,72,30,60,72,6,12,24,48,12,18,12,
24,24,96,36,24,24,48,96,72,72,24,24,24,48,64,16,32,64,16,32,32,64,1,3,18,18,
24,12,9,6,3,3,9,3,12,12,24,15,12,12,24,6,36,6,6,12,12,12,6,2,2,6,6,6,6,12,24,
18,36,72,6,6,6,6,12,6,12,24,24,48,24,12,6,6,12,24,12,9,18,36,6,6,12,24,3,6,6,
6,12,12,12,12,12,12,3,12,36,6,12,12,18,6,6,12,6,6,12,12,24,12,12,24,24,12,24,
12,24,24,12,24,12,12,12,12,24,24,12,12,12,12,12,12,12,24,12,12,24,24,48,12,12,
24,4,24,24,32,16,32,16,16,32,1,3,18,3,12,1,6,3,6,3,6,6,6,3,18,3,6,12,6,6,3,6,
6,3,3,6,12,6,12,6,12,6,6,12,6,6,3,3,3,3,6,12,12,12,12,6,6,6,6,6,6,6,6,12,12,6,
6,6,12,12,12,12,12,12,12,12,24,12,12,4,24,4,8,16,4,8,8,16,3,3,1,3,3,3,3,3,3,3,
6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,
18,36,45,12,48,64,6,72,48,15,18,16,45,24,135,36,18,72,72,180,144,48,270,72,48,
24,36,36,48,144,48,128,192,3,12,45,36,45,18,90,72,90,12,9,18,12,18,24,24,18,
135,270,12,48,360,48,360,24,72,72,72,24,36,72,36,36,36,72,72,72,24,72,144,72,
48,24,288,144,72,24,96,48,144,96,18,72,18,12,24,18,36,18,36,24,48,18,36,18,12,
72,48,144,48,48,144,24,24,24,48,48,16,32,48,64,64,64,6,1,6,3,45,15,180,9,9,36,
135,6,270,36,6,36,12,9,12,9,18,12,9,36,9,6,36,12,36,6,6,6,6,6,18,36,6,12,12,
12,36,24,24,18,36,18,6,18,12,12,24,48,36,12,12,72,6,36,12,72,18,12,36,24,18,
12,24,48,18,12,24,36,144,144,18,36,18,12,18,18,18,36,36,36,36,72,24,144,36,36,
12,48,144,18,36,18,36,18,12,12,36,12,18,6,72,18,12,24,12,36,72,144,48,36,36,
144,36,72,144,48,144,48,72,72,72,24,48,72,24,48,24,24,24,48,48,48,48,32,32,32,
64,48,48,48,96,96,96,96,96,64,18,45,3,6,12,36,9,18,9,6,9,9,9,36,36,72,9,36,12,
36,6,6,18,18,6,12,36,12,12,6,12,18,18,18,12,36,12,12,72,6,36,18,18,18,36,18,
12,48,36,144,6,18,6,6,9,18,6,24,9,6,18,36,18,6,12,36,18,36,72,9,12,36,12,12,
36,36,12,24,12,18,6,18,18,18,6,12,18,18,36,12,12,6,6,12,12,18,12,18,12,36,18,
18,6,6,36,12,12,12,24,12,12,12,12,24,12,24,12,24,12,24,36,36,36,36,36,24,36,
24,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,36,36,12,12,36,12,36,12,24,24,
24,24,24,24,24,24,24,48,4,16,32,48,48,16,16,16,32,16,16,16,32,32,96,96,32,1,2,
6,18,24,6,3,3,3,3,9,18,24,18,6,18,18,18,6,6,18,9,9,3,3,6,3,6,6,6,6,6,12,6,9,9,
9,6,9,18,6,18,6,6,12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,12,18,36,18,
6,18,18,18,18,36,12,12,6,6,6,36,36,12,12,36,36,36,36,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,12,12,12,16,16,16,32,32,6,3,
3,6,3,6,18,3,9,9,6,3,3,3,3,6,3,6,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,12,12,12,4,8,24,4,4,12,12,4,4,4,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,
1,1],[1,18,36,24,45,12,8,64,6,72,48,48,48,15,18,16,45,4,135,36,36,18,72,72,48,
48,180,24,270,72,48,4,36,36,36,24,48,192,128,3,12,45,6,45,18,6,12,90,72,90,9,
18,12,12,18,24,24,36,12,32,48,18,135,12,270,8,360,360,48,24,72,32,72,72,4,36,
12,12,12,36,72,24,36,36,12,24,24,36,36,12,72,24,48,96,72,72,48,72,24,72,48,24,
72,48,144,144,18,12,18,18,18,6,24,18,12,36,12,36,24,24,24,72,48,18,12,12,36,
18,72,24,144,48,24,24,24,24,48,16,32,48,64,64,64,6,1,1,3,4,3,6,45,6,15,180,9,
4,9,36,135,270,36,1,6,36,12,9,6,12,12,9,6,12,12,9,4,18,9,6,12,36,4,12,12,9,6,
36,6,6,12,6,8,6,12,24,6,18,36,12,12,12,12,12,12,36,24,18,36,18,18,18,12,36,72,
6,12,18,12,12,12,36,72,6,12,12,18,36,18,12,24,18,36,24,24,24,6,18,6,24,18,18,
18,6,24,18,12,12,12,18,12,12,36,12,24,24,36,12,36,36,24,24,36,72,72,48,144,18,
6,6,24,12,36,144,18,12,36,12,18,36,12,12,18,36,6,12,24,24,48,18,12,18,36,12,
24,36,36,48,144,12,12,36,24,24,72,36,12,12,24,24,72,48,24,144,8,24,24,24,24,
24,24,72,24,24,24,24,24,24,24,24,24,72,24,24,24,72,24,24,24,72,48,48,48,96,32,
96,32,32,96,96,96,64,18,45,3,1,6,36,9,12,6,18,9,9,9,6,12,9,36,12,36,72,9,6,12,
12,9,4,4,12,12,12,6,36,6,6,18,18,18,12,36,36,6,6,6,6,6,12,36,72,18,18,18,12,6,
6,12,12,6,18,18,18,36,18,8,12,12,24,36,24,6,18,12,12,9,18,36,12,9,18,6,9,3,6,
18,6,36,18,36,12,12,9,12,36,12,12,12,12,12,12,12,24,24,12,12,36,24,24,36,12,
12,12,24,24,18,6,6,18,6,12,24,12,12,12,24,24,18,18,12,12,12,6,6,6,24,18,18,36,
12,12,6,6,12,18,18,6,6,12,36,18,18,12,36,12,8,24,24,12,12,12,12,24,12,12,12,
12,12,12,12,12,12,12,36,36,36,36,36,24,36,12,12,12,12,12,12,12,12,24,24,36,36,
36,36,12,12,12,12,24,24,12,36,36,12,4,16,32,16,48,48,16,16,16,16,16,96,96,32,
32,1,2,6,3,18,3,4,3,3,6,3,4,3,6,12,3,6,18,3,9,3,4,6,18,18,18,18,6,6,18,9,9,3,
3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,9,3,3,9,18,6,18,6,6,4,12,12,12,12,12,4,12,
12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,6,6,6,18,36,18,18,6,
18,6,18,18,36,12,12,24,36,36,12,12,36,36,36,36,24,12,12,12,12,12,12,8,16,16,
16,32,3,1,3,1,3,6,6,6,6,1,6,18,2,6,9,9,3,3,3,3,6,3,3,3,3,6,6,6,3,3,3,6,6,6,6,
6,6,6,6,6,6,18,6,12,12,4,8,24,4,4,12,12,4,4,4,4,24,1,3,3,3,3,3,3,6,6,4,4,4,8,
1,1,1],[1,18,36,48,45,12,64,6,12,24,72,72,96,48,15,18,45,4,135,36,36,72,18,72,
72,72,48,180,270,36,72,36,72,36,48,96,48,128,192,3,45,45,18,12,24,90,24,36,72,
72,90,9,18,36,12,18,24,36,72,12,72,72,72,48,18,135,36,270,360,360,24,72,72,48,
72,72,72,144,144,36,36,144,36,72,24,24,36,72,24,96,48,96,96,72,48,96,72,72,48,
72,144,48,288,18,18,24,18,36,18,12,72,24,24,24,144,48,48,18,12,18,48,144,24,
48,32,48,16,48,64,64,64,6,6,6,8,24,72,72,6,45,15,6,180,9,12,9,18,36,36,36,36,
144,135,270,18,36,72,36,18,24,6,12,12,12,9,36,12,9,36,6,12,12,24,18,36,24,18,
18,36,18,36,12,72,144,48,48,18,36,36,18,72,48,24,144,18,18,12,36,12,12,24,48,
48,12,24,24,24,48,18,18,36,18,18,12,18,36,24,36,12,72,36,48,144,144,36,36,144,
12,18,18,36,6,24,24,24,48,48,24,18,36,36,24,36,144,12,12,24,48,72,24,24,144,
48,48,144,24,24,24,24,24,24,24,24,24,32,32,64,32,48,48,96,48,96,96,64,18,45,3,
18,18,24,36,6,12,9,9,9,9,36,36,72,18,24,12,12,12,36,6,6,18,12,18,36,36,36,72,
36,6,12,6,18,18,18,18,72,12,144,48,12,12,18,18,18,18,18,36,18,12,12,12,48,24,
24,48,48,24,12,18,18,36,72,36,12,6,6,24,24,6,18,18,36,36,18,36,12,12,24,9,12,
12,12,12,6,6,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,12,24,24,12,12,12,12,24,24,12,12,24,4,4,16,48,32,48,16,32,16,16,16,16,
32,16,1,1,6,24,6,36,6,6,3,6,18,36,18,18,6,6,6,24,18,18,18,18,18,6,3,3,3,6,6,6,
6,3,3,6,6,9,9,9,6,6,12,12,12,12,12,12,12,12,6,6,6,6,6,6,24,6,6,6,24,12,12,12,
12,12,12,12,12,24,24,8,8,12,12,12,16,16,32,16,6,6,3,3,3,6,6,3,3,3,9,6,6,6,6,6,
6,6,6,6,6,6,6,12,4,4,4,4,4,4,12,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,18,36,45,12,
48,64,6,72,48,15,18,16,45,24,135,36,18,72,72,180,144,48,270,72,48,24,36,36,48,
144,48,128,192,3,12,45,36,45,18,90,72,90,12,9,18,12,18,24,24,18,135,270,12,48,
360,48,360,24,72,72,72,24,36,72,36,36,36,72,72,72,24,72,144,72,48,24,288,144,
72,24,96,48,144,96,18,72,18,12,24,18,36,18,36,24,48,18,36,18,12,72,48,144,48,
48,144,24,24,24,48,32,64,48,64,64,64,6,1,6,3,45,15,180,9,9,36,135,6,270,36,6,
36,12,9,12,9,18,12,9,36,9,6,36,12,36,6,6,6,6,6,18,36,6,12,12,12,36,24,24,18,
36,18,6,18,12,12,24,48,36,12,12,72,6,36,12,72,18,12,36,24,18,12,24,48,18,12,
24,36,144,144,18,36,18,12,18,18,18,36,36,36,36,72,24,144,36,36,12,48,144,18,
36,18,36,18,12,12,36,12,18,6,72,18,12,24,12,36,72,144,48,36,36,144,36,72,144,
48,144,48,72,72,72,24,48,72,24,48,24,24,24,48,48,48,48,32,64,64,48,96,96,64,
18,45,3,6,12,36,9,18,9,6,9,9,9,36,36,72,9,36,12,36,6,6,18,18,6,12,36,12,12,6,
12,18,18,18,12,36,12,12,72,6,36,18,18,18,36,18,12,48,36,144,6,18,6,6,9,18,6,
24,9,6,18,36,18,6,12,36,18,36,72,9,12,36,12,12,36,36,12,24,12,18,6,18,18,18,6,
12,18,18,36,12,12,6,6,12,12,18,12,18,12,36,18,18,6,6,36,12,12,12,24,12,12,12,
12,24,12,24,12,24,12,24,36,36,36,36,36,24,36,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,36,36,36,12,12,36,12,36,12,24,24,24,24,24,24,24,24,24,48,4,4,32,
48,12,16,32,16,32,1,2,6,18,24,6,3,3,3,3,9,18,24,18,6,18,18,18,6,6,18,9,9,3,3,
6,3,6,6,6,6,6,12,6,9,9,9,6,9,18,6,18,6,6,12,12,12,12,12,12,12,12,12,12,12,12,
18,18,6,6,6,12,18,36,18,6,18,18,18,18,36,12,12,6,6,6,36,36,12,12,36,36,36,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,8,
12,12,12,16,32,24,8,6,3,3,6,3,6,18,3,9,9,6,3,3,3,3,6,3,6,6,6,6,12,6,6,18,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,4,12,1,3,3,3,3,3,3,6,6,
6,6,3,2,4,4,4,3,1,1,1,1],[1,18,45,64,96,96,6,15,45,135,180,270,288,288,45,45,
90,90,135,270,360,360,128,128,96,240,48,48,72,72,96,96,6,45,15,180,135,270,72,
144,72,144,144,144,64,18,45,96,96,24,6,6,60,48,72,48,72,1,18,18,24,24,1,6,6,2,
2,1],[1,6,60,25,60,160,5,90,80,15,15,60,30,120,60,60,120,60,120,96,160,160,
160,15,60,10,20,15,30,30,15,30,60,20,120,60,60,120,60,60,120,60,240,120,30,60,
30,60,30,120,120,60,96,96,96,80,320,120,160,1,5,15,15,15,15,30,15,30,15,15,15,
30,60,15,30,45,30,60,60,30,30,60,30,60,30,60,15,60,60,30,30,120,120,60,60,96,
120,40,80,40,80,80,1,15,15,30,15,20,15,15,15,30,30,30,5,15,15,15,30,10,30,15,
15,30,30,30,15,45,30,30,30,60,30,30,30,10,20,60,40,80,64,5,15,15,15,15,15,15,
30,30,6,10,10,10,20,20,40,5,6,6,6,5,10,6,5,1,1],[1,18,60,45,20,64,6,120,15,30,
45,135,60,30,120,120,180,270,120,60,60,16,320,5,45,45,30,90,120,90,15,30,30,
40,30,135,270,360,360,40,120,120,120,60,60,60,60,120,120,120,120,240,30,30,30,
30,30,30,240,16,48,48,96,240,64,6,45,15,180,15,15,60,135,270,60,60,15,60,15,
60,30,60,30,30,30,60,30,30,30,30,30,60,60,60,240,60,240,30,30,60,30,60,60,60,
240,240,16,48,48,80,160,160,64,18,45,5,60,15,15,15,15,60,60,120,60,10,10,30,
30,60,30,30,30,60,30,30,60,30,60,15,16,24,60,16,1,30,30,30,30,15,15,1,20,40,
40,16,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,15,60,40,160,5,90,80,30,60,120,90,120,
60,96,160,160,160,15,60,15,30,10,30,60,60,180,60,240,45,30,60,30,60,60,30,60,
96,80,320,120,160,1,5,15,15,45,45,30,60,30,45,30,60,30,60,30,60,30,60,60,96,
120,40,80,160,40,15,15,30,10,15,45,15,30,15,30,15,30,30,10,20,60,40,64,5,15,
15,15,15,15,15,6,10,10,20,10,20,32,15,6,5,10,6,5,1,1],[1,45,45,45,1,60,60,15,
15,135,135,135,45,135,36,15,60,15,180,60,180,180,45,180,45,45,45,135,135,135,
135,20,20,36,15,30,30,15,15,15,45,45,45,180,180,45,45,36,135,20,20,60,60,60,
60,108,15,15,45,45,90,90,45,45,15,15,45,45,45,45,45,10,36,15,15,60,60,45,45,
45,10,20,20,6,6,36,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,6,6,1,1],[1,
18,36,45,12,64,192,6,72,48,15,18,16,45,135,36,18,72,72,180,270,72,36,36,576,
192,3,12,45,45,18,90,72,90,9,18,12,18,24,24,18,135,270,360,360,24,72,72,72,36,
36,36,36,72,72,72,72,72,72,144,18,18,18,18,36,18,36,18,72,144,24,24,256,96,48,
240,16,96,128,144,192,64,6,1,3,45,15,180,9,9,36,135,270,36,36,9,9,18,9,36,9,
36,6,6,6,18,36,36,18,36,18,18,18,36,18,18,36,18,18,18,18,18,36,36,36,36,72,
144,36,144,18,36,18,36,18,36,18,18,36,36,36,144,36,72,144,72,72,72,72,48,48,
144,48,96,96,288,96,288,96,96,18,45,3,36,9,18,9,9,9,9,36,36,72,9,36,6,6,18,18,
36,6,18,18,18,18,18,18,36,18,36,6,18,9,18,9,18,36,18,36,9,12,36,12,12,36,36,
18,18,18,18,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,64,
192,24,12,60,8,16,16,96,48,144,24,96,96,1,2,6,3,3,3,9,18,18,18,18,6,6,18,9,9,
9,9,9,9,18,18,18,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,36,12,12,12,24,
24,24,24,48,3,6,18,9,9,18,48,16,1,2,12,8,8,8,24,12,12,12,24,24,1,3,6,4,8,1,1,
2,1],[1,18,36,45,12,64,192,6,12,24,72,72,15,18,45,4,135,36,36,18,72,72,72,180,
270,36,72,36,36,576,192,3,45,45,18,24,90,24,36,72,72,90,9,18,36,18,24,36,72,
72,72,18,135,36,270,360,360,24,72,72,48,72,72,72,144,144,36,36,36,36,72,72,72,
72,144,18,18,18,18,18,18,144,256,96,240,96,96,192,32,144,64,64,192,6,6,8,24,
72,72,45,15,6,180,9,12,9,18,36,36,36,36,144,135,270,18,36,72,36,9,36,9,36,18,
36,18,18,18,36,18,36,18,18,18,36,18,18,18,18,18,36,36,36,144,36,144,18,18,36,
18,36,36,36,144,144,48,144,96,288,96,96,96,288,192,18,45,3,18,18,24,36,9,9,9,
9,36,36,72,36,6,6,18,18,36,36,36,6,6,18,18,18,18,18,18,18,18,18,36,18,18,36,
18,18,36,36,18,36,9,24,192,64,24,12,24,60,8,24,32,32,96,96,144,32,48,1,1,18,
18,18,18,18,18,18,18,6,9,9,9,12,36,24,24,24,24,24,24,3,3,9,48,32,1,1,4,12,8,
24,1,3,3,4,4,1,1,2,1],[1,18,36,45,12,96,64,48,6,72,15,18,45,48,135,36,18,72,
72,180,288,144,270,72,144,48,36,36,288,48,16,256,288,144,192,96,3,45,72,45,18,
90,72,90,36,9,18,18,24,18,135,270,36,96,360,144,360,24,72,72,72,48,36,144,36,
36,36,72,72,72,288,72,144,72,576,288,72,72,144,144,18,144,18,36,18,72,18,18,
18,36,288,144,144,144,72,64,96,240,24,36,48,48,48,96,48,144,192,96,144,48,6,
12,45,15,180,9,9,36,135,18,270,36,12,36,36,9,36,9,18,72,36,36,18,18,18,36,36,
36,18,36,18,18,18,36,72,36,36,144,18,72,36,144,18,36,288,288,18,72,18,36,18,
18,18,36,36,36,144,72,36,36,144,144,18,18,36,36,36,36,18,144,18,36,36,36,144,
288,144,36,36,144,288,144,144,144,72,144,72,144,64,64,64,64,12,12,384,24,72,
144,48,36,96,72,96,24,72,16,48,48,48,48,144,48,18,45,3,12,36,36,9,18,9,9,9,36,
36,72,72,36,36,6,6,18,18,18,36,36,36,72,36,36,144,18,72,18,18,18,36,18,96,288,
18,18,36,72,18,18,36,36,18,36,144,9,36,72,36,18,18,36,18,18,36,36,18,18,72,36,
72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,48,64,24,3,60,24,36,12,36,48,12,
24,12,24,24,96,72,24,12,36,72,48,1,36,48,9,36,48,18,18,18,18,18,9,18,36,18,9,
9,18,18,36,36,36,36,18,36,18,36,36,36,36,16,48,16,1,3,48,64,18,9,12,12,12,24,
24,6,12,12,12,36,72,12,12,3,9,18,9,18,18,36,12,16,1,3,3,3,3,9,12,3,9,24,6,6,
12,9,4,4,12,4,3,1,3,3,3,3,9,3,1,4,3,3,1,1,1,1],[1,18,36,96,45,12,64,48,6,72,
192,144,15,18,45,135,36,144,18,72,72,144,180,270,72,36,144,36,192,256,16,48,
288,144,96,192,3,45,45,18,24,90,72,90,9,18,36,18,24,144,36,144,18,135,270,360,
360,24,72,72,72,36,36,288,36,144,72,72,36,144,72,192,288,72,72,72,72,144,576,
18,18,18,72,18,36,144,72,72,288,144,18,36,18,144,72,64,96,240,24,36,48,48,48,
144,96,192,48,96,144,48,6,12,18,45,15,180,9,9,36,135,270,36,36,36,48,18,36,9,
36,36,9,36,18,36,36,72,18,36,18,72,18,144,288,72,144,288,18,36,36,72,72,18,18,
72,18,18,36,18,36,72,36,36,144,36,288,144,72,36,144,36,18,18,36,18,72,72,144,
18,36,36,36,144,36,36,72,144,72,288,144,144,72,72,72,72,72,72,64,64,64,12,12,
72,192,256,24,144,48,36,24,72,96,96,72,16,48,48,48,144,48,48,18,45,3,36,18,9,
9,9,9,36,36,72,36,48,36,36,36,6,6,18,18,72,36,144,24,144,288,36,18,18,18,36,
18,36,36,72,36,36,72,144,18,18,36,18,36,36,9,36,36,36,36,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,72,36,72,72,72,72,36,48,64,24,3,60,12,24,36,48,36,24,
72,12,12,24,24,96,24,12,36,72,48,1,12,72,9,12,72,18,18,18,18,18,9,9,9,18,18,
18,9,9,18,18,36,36,36,36,18,18,18,18,72,72,16,48,16,16,96,1,3,18,12,9,12,12,
24,24,6,12,12,12,36,72,12,12,3,9,18,9,18,18,18,18,12,16,1,3,3,12,9,3,3,3,9,6,
6,24,12,9,4,4,12,4,3,1,3,3,3,3,9,3,1,4,3,3,1,1,1,1],[1,6,36,84,9,36,36,16,96,
2,12,24,72,72,72,72,3,54,48,3,4,18,9,36,36,54,18,72,72,72,72,216,36,72,18,36,
72,216,72,18,36,54,48,72,36,72,72,112,48,64,384,96,192,144,9,36,9,18,3,18,24,
6,24,36,24,72,72,18,9,18,36,54,18,24,36,18,18,72,72,72,72,18,9,36,54,18,72,24,
72,72,72,24,72,72,144,48,72,72,72,144,144,18,36,54,48,18,18,36,36,18,18,36,36,
36,54,54,72,108,144,72,72,144,144,72,72,144,36,36,72,72,36,36,144,72,72,144,
72,72,18,18,36,9,9,36,18,18,18,36,36,36,36,36,72,72,18,54,54,36,72,18,72,72,
72,144,36,36,64,8,12,40,24,192,8,48,64,16,48,32,96,144,144,48,192,96,48,48,3,
6,8,24,72,72,9,9,1,6,36,9,18,12,9,18,36,36,36,36,144,9,36,18,36,72,18,18,9,18,
18,18,9,18,12,18,9,18,36,9,36,36,18,36,36,36,36,36,36,36,9,9,18,36,72,18,18,
18,18,72,72,18,18,18,18,72,36,36,9,9,18,36,18,36,72,18,18,72,72,18,36,36,36,
36,36,72,9,9,36,18,9,9,36,18,18,18,18,18,18,36,36,36,18,18,36,36,36,72,72,72,
18,18,72,72,18,54,36,54,72,18,36,54,54,72,18,18,18,36,36,72,72,36,18,36,18,18,
36,36,36,36,72,72,144,18,18,36,36,72,36,36,72,72,72,72,144,36,36,36,36,36,36,
36,36,36,36,36,36,64,64,64,12,48,64,48,36,48,24,96,48,96,144,48,36,24,48,24,
24,96,24,24,96,48,48,16,48,48,48,48,96,48,3,3,18,18,24,18,18,18,9,18,9,9,9,18,
9,36,18,18,36,36,9,12,18,18,18,36,36,6,36,18,18,18,18,36,18,18,18,3,3,6,9,9,9,
9,18,18,18,18,72,18,36,72,18,18,9,9,18,36,18,18,18,72,36,36,72,72,36,36,36,18,
18,18,9,18,36,18,9,9,36,36,9,18,9,9,18,18,36,18,18,36,9,18,18,18,18,36,36,18,
18,18,18,18,18,36,18,18,36,18,18,18,18,18,18,18,18,36,36,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,32,16,64,4,24,1,2,24,32,12,8,24,8,8,12,36,24,24,24,
48,24,36,24,12,24,96,12,24,12,24,24,24,48,1,3,18,9,36,9,9,9,9,9,18,18,3,18,9,
9,9,36,9,9,18,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,9,9,9,9,
18,36,36,36,36,16,32,16,16,1,6,4,24,12,3,12,12,12,48,3,12,6,12,12,6,12,12,24,
12,12,24,24,24,12,12,24,12,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,1,1,2,3,3,6,3,
3,12,3,6,3,12,12,6,6,12,9,4,4,4,8,1,3,3,1,3,3,3,3,6,3,3,1,4,3,3,1,1,1,1],[1,
15,60,16,240,5,90,80,30,90,96,160,240,240,15,60,15,180,45,60,160,96,20,20,100,
400,120,80,80,96,1,5,15,15,45,45,45,160,120,60,60,60,60,96,15,15,45,80,80,1,
10,25,20,20,20,60,60,64,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,18,
60,72,45,20,72,64,6,12,24,72,120,144,48,144,15,30,16,45,4,36,135,60,36,108,30,
72,120,120,240,144,180,216,144,270,36,120,240,144,36,60,108,16,60,48,216,144,
48,48,192,192,320,5,12,45,54,45,30,18,60,24,90,24,36,48,120,72,90,36,15,30,36,
36,12,30,40,24,36,108,36,72,72,72,96,144,30,135,36,60,270,36,144,72,360,48,
144,360,240,144,40,72,120,96,48,120,72,120,144,144,36,60,60,16,108,60,60,216,
120,60,108,60,72,72,60,108,60,72,72,48,144,48,48,288,96,96,120,72,48,240,96,
72,120,216,120,144,48,72,432,216,120,72,96,240,144,240,96,48,48,432,96,96,30,
108,30,36,24,30,54,54,120,30,36,36,60,108,72,72,120,24,24,216,48,144,48,96,30,
60,36,36,24,30,36,72,48,216,144,144,240,240,96,24,24,120,72,72,48,96,240,64,
64,320,192,192,64,64,6,1,9,9,6,12,8,24,72,72,3,18,45,30,15,6,180,72,15,12,12,
15,18,36,36,60,36,144,135,18,270,72,18,60,72,9,30,60,60,36,27,30,36,36,24,9,
18,36,12,36,12,9,12,4,18,12,15,30,36,60,72,12,36,36,15,18,54,36,60,24,72,6,6,
36,30,24,18,36,72,18,6,18,18,36,24,24,24,18,36,60,60,60,36,36,24,24,60,36,36,
36,24,24,24,72,30,24,60,24,24,30,18,54,18,30,12,24,60,36,36,12,12,108,216,24,
24,48,48,48,54,18,60,36,54,36,108,36,60,18,60,108,24,24,48,24,24,216,18,18,54,
60,36,108,30,12,60,24,18,12,24,36,12,12,24,24,72,48,48,48,18,12,24,36,24,24,
72,24,24,24,48,216,216,30,30,54,120,30,36,54,30,30,72,30,60,36,36,30,60,60,60,
60,72,72,60,72,36,36,108,72,120,60,72,72,48,24,24,216,96,240,144,240,54,54,30,
120,60,60,36,144,144,240,18,36,36,36,24,30,36,60,36,24,30,36,36,60,36,18,36,
72,72,24,24,48,48,144,18,24,18,108,30,36,24,36,60,108,216,144,60,72,24,60,24,
72,144,240,240,96,36,36,36,72,72,72,48,108,36,36,72,120,24,24,216,144,48,48,
96,216,144,240,144,144,96,24,72,72,120,72,72,72,72,120,120,120,72,72,120,120,
72,72,72,72,72,72,72,72,72,72,72,144,72,72,144,24,24,24,48,48,48,48,48,144,
192,288,80,160,160,64,64,64,64,64,64,64,18,45,6,5,18,18,24,9,30,36,36,60,9,36,
18,18,12,15,18,15,18,15,30,36,15,18,60,72,60,36,60,120,72,72,27,30,36,36,24,9,
4,12,12,36,36,36,12,12,54,36,60,24,72,10,10,12,30,12,30,12,18,54,18,36,60,36,
60,24,108,12,12,36,36,36,6,12,6,6,18,6,12,30,18,18,30,18,18,30,18,60,18,36,
108,12,12,216,24,24,24,48,18,12,24,18,12,18,12,12,36,12,54,18,18,18,36,30,36,
60,36,108,18,18,54,30,24,30,30,60,30,12,72,12,12,36,36,24,24,48,72,24,24,48,
48,48,36,24,24,216,6,18,24,18,18,60,36,24,27,18,18,36,54,12,108,24,60,36,36,9,
6,12,18,12,6,18,6,24,24,24,9,6,27,18,54,36,30,12,18,18,30,36,36,36,60,24,30,
60,36,12,12,12,24,108,15,18,12,36,36,36,36,36,12,12,36,60,60,36,36,120,72,36,
36,36,72,72,36,36,72,36,36,36,36,72,72,18,12,18,18,30,18,36,18,12,18,18,36,72,
36,36,36,72,72,18,18,36,36,36,30,30,30,72,18,36,18,12,18,12,36,24,12,12,36,36,
12,12,18,30,18,18,30,18,36,36,36,36,36,60,18,12,18,12,30,36,30,36,36,24,36,18,
18,18,36,18,36,36,36,60,36,24,36,24,24,24,72,72,12,60,12,60,12,12,60,12,12,12,
36,24,120,12,60,12,60,12,12,60,12,12,72,12,36,12,12,36,12,36,12,12,12,24,24,
24,24,36,12,12,36,12,12,12,36,36,12,12,24,24,36,72,36,72,12,24,36,36,24,24,36,
24,24,36,24,36,24,72,24,24,36,24,60,36,36,36,36,36,36,60,36,36,36,60,60,36,60,
60,60,36,36,24,72,24,24,24,24,72,12,12,12,12,36,36,36,36,24,24,36,36,24,36,24,
36,36,60,36,60,36,60,36,60,72,24,24,24,72,24,36,24,36,24,36,36,36,36,36,60,36,
12,24,24,24,24,24,24,24,24,24,48,24,60,16,32,48,48,96,80,160,48,96,16,32,16,
64,1,1,2,6,6,18,1,6,3,6,12,24,9,54,27,36,6,6,6,3,3,18,15,12,9,18,36,9,9,6,30,
18,18,54,12,18,36,18,36,3,6,9,6,27,18,36,18,6,6,12,24,30,18,18,18,30,30,12,30,
6,6,18,6,18,18,36,18,9,6,9,9,18,15,18,9,6,9,9,6,6,18,6,18,12,6,18,6,6,18,6,18,
12,18,12,6,12,3,6,3,6,6,6,6,6,6,18,6,6,18,18,6,6,18,36,30,12,30,12,30,30,12,
18,15,9,18,15,18,9,6,15,18,15,18,9,6,18,18,6,6,18,12,30,18,18,18,36,18,12,12,
12,12,36,12,36,12,36,36,12,12,12,24,36,12,12,12,12,36,36,12,12,12,60,12,12,60,
12,12,12,60,12,12,36,12,12,36,12,12,36,12,12,36,12,12,36,36,12,12,36,12,12,12,
12,12,36,36,36,36,36,12,24,36,12,12,12,60,12,12,18,18,12,18,18,30,18,36,18,12,
30,30,6,6,6,18,18,6,6,6,12,6,6,6,6,6,6,36,18,36,18,18,36,18,36,36,36,36,18,36,
18,12,18,18,30,18,18,12,18,24,18,36,24,18,60,18,36,60,36,36,72,24,24,6,6,6,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,60,36,36,60,36,24,36,36,24,36,72,
24,24,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,12,
72,36,48,20,16,48,40,40,16,16,16,16,32,16,1,3,6,9,9,5,3,6,3,9,18,12,6,6,18,18,
12,3,6,6,6,18,3,3,6,18,18,36,18,6,18,6,6,6,6,9,18,9,9,6,9,6,15,18,15,15,3,6,3,
6,6,18,6,6,6,18,15,3,6,9,3,3,6,9,3,6,3,6,6,6,6,9,9,6,6,6,18,18,18,6,6,6,3,9,6,
9,6,9,6,9,30,6,6,6,6,6,6,6,18,18,18,18,6,6,18,12,6,6,6,18,30,12,6,6,6,18,6,6,
6,18,12,6,6,6,6,6,6,30,30,36,6,6,18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,
6,6,18,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,36,12,
12,1,4,8,12,12,12,20,4,4,24,24,40,8,16,1,1,3,1,3,3,3,9,6,3,3,9,9,3,6,9,3,6,3,
9,15,3,3,3,3,3,3,6,9,9,9,3,6,3,6,3,3,3,3,3,3,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,
6,3,3,5,4,4,4,4,4,4,12,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,5,3,3,4,3,1,1,
1,1,1,1,1,1],[1,18,108,56,45,36,24,64,6,12,24,72,216,112,144,144,15,54,48,45,
4,12,135,108,36,84,54,72,216,216,144,144,180,72,48,270,36,216,144,48,12,108,
84,48,108,48,72,112,144,48,64,192,128,192,128,9,36,45,18,45,54,14,36,24,90,24,
36,16,216,72,90,12,27,54,36,36,36,54,72,72,36,84,36,72,72,72,96,144,54,135,36,
36,270,12,48,24,360,16,48,360,144,48,72,72,216,96,48,216,72,216,144,144,12,
108,36,48,36,36,108,168,72,108,84,36,72,72,108,84,36,216,72,144,112,48,144,
288,96,288,216,216,48,144,96,24,216,72,216,48,48,24,144,72,216,24,96,144,48,
432,96,144,48,336,96,96,54,36,54,12,24,54,42,18,72,54,36,108,36,84,72,72,72,
24,72,168,48,144,144,96,54,36,36,108,72,54,12,216,48,72,48,48,432,144,96,72,
72,72,72,24,48,32,192,48,64,64,64,192,64,128,192,128,64,64,6,3,3,7,6,12,8,24,
72,72,9,18,45,18,15,6,180,24,27,12,12,27,18,36,36,108,36,144,135,6,270,24,18,
108,72,3,18,108,36,12,21,18,36,28,24,27,18,36,36,36,12,27,12,12,54,12,27,18,
36,108,24,12,36,36,27,6,18,12,108,24,24,18,18,36,18,24,18,36,72,6,18,6,54,108,
24,24,24,6,12,36,36,36,36,36,24,24,36,12,12,108,24,24,24,72,54,24,108,24,24,
54,18,42,6,54,36,72,36,36,12,36,12,84,168,24,24,48,48,144,18,18,36,12,42,12,
36,36,36,18,36,84,72,24,48,72,24,168,6,18,18,36,12,36,54,12,108,24,54,36,72,
36,36,12,24,24,72,144,48,48,54,12,24,108,24,24,72,72,24,72,48,72,72,18,54,18,
72,54,12,42,54,18,72,54,36,36,36,54,36,36,108,36,72,72,108,24,36,108,84,72,72,
108,216,24,48,24,24,168,96,144,48,432,42,18,18,72,36,108,12,48,48,432,54,36,
108,36,72,54,108,36,36,72,54,12,12,108,12,18,36,72,72,72,24,144,48,144,54,24,
6,36,54,12,24,12,108,36,72,48,108,24,24,108,24,24,48,144,432,96,36,36,108,72,
72,216,48,84,36,36,72,72,72,24,168,144,48,144,96,72,48,432,48,48,96,24,72,72,
72,72,72,72,216,72,72,72,72,72,72,72,72,72,216,72,72,72,216,72,72,72,24,48,
216,24,48,24,24,24,48,48,48,48,48,64,48,32,96,64,192,64,64,48,32,96,64,96,64,
64,64,64,64,64,64,64,18,45,2,9,18,18,24,3,18,12,12,108,27,36,18,54,12,27,6,27,
6,27,18,36,27,6,108,24,36,12,108,216,24,24,21,18,36,28,24,27,12,12,12,36,36,
36,36,12,18,12,108,24,24,18,18,36,54,12,54,12,6,42,6,36,36,12,108,24,84,12,12,
12,12,36,18,12,6,2,14,6,4,18,6,18,18,6,18,18,18,36,18,12,84,12,36,168,24,24,
72,48,54,36,72,54,12,54,12,12,36,12,18,18,6,18,12,18,12,36,12,36,6,6,18,54,24,
54,54,108,54,12,24,12,36,36,36,24,72,48,72,72,24,48,144,48,108,24,24,72,18,54,
24,6,6,36,36,24,21,6,18,12,42,12,84,24,36,36,12,27,18,36,54,12,18,18,6,24,72,
24,27,6,9,6,18,12,54,12,6,18,18,36,12,12,108,24,54,108,36,36,12,36,24,36,27,6,
36,108,12,12,12,12,36,36,36,36,36,36,36,72,72,36,36,108,72,72,108,12,24,12,36,
36,36,72,72,54,12,6,6,18,6,12,18,12,54,18,36,72,36,36,36,72,72,54,54,36,36,36,
18,18,18,72,6,12,54,12,54,12,108,24,12,12,36,36,12,12,6,18,6,6,18,6,12,12,12,
12,12,36,54,12,54,12,18,12,18,12,36,24,108,54,54,6,12,6,12,12,12,36,108,24,36,
24,24,24,72,72,12,36,36,36,12,12,36,12,36,36,36,72,72,12,36,36,36,12,12,36,12,
12,24,12,36,12,36,36,12,36,12,12,12,24,24,72,24,36,12,36,36,12,12,36,36,36,12,
36,72,72,12,24,12,24,12,24,108,108,24,24,108,24,24,108,24,108,24,72,24,24,108,
24,36,12,12,12,12,12,12,36,12,12,12,36,36,12,36,36,36,12,36,24,72,24,24,24,24,
72,12,12,12,12,12,12,12,108,24,24,108,108,24,108,24,12,12,36,12,36,12,36,12,
36,72,24,24,24,72,24,36,24,108,24,12,12,12,108,12,36,12,12,24,24,24,24,24,24,
24,24,24,48,4,24,24,32,16,32,48,16,32,32,64,48,48,32,96,96,64,16,16,32,64,1,1,
6,18,2,6,3,18,9,6,36,24,7,42,9,12,18,6,6,9,9,18,9,12,9,18,36,3,7,2,18,18,6,42,
12,18,12,18,12,9,18,27,6,9,6,12,18,18,6,36,24,54,18,6,6,54,54,12,54,6,18,6,18,
6,6,12,54,27,6,27,3,6,9,6,9,6,9,9,18,18,18,6,18,12,6,18,6,6,18,18,18,12,18,12,
18,36,3,6,3,6,6,18,6,6,6,18,6,6,18,18,18,6,6,12,18,12,18,12,18,18,12,6,27,9,6,
27,6,27,6,9,6,9,6,27,6,54,18,6,6,54,12,18,6,6,6,12,18,12,12,12,12,36,12,36,12,
36,36,12,12,12,24,36,12,12,12,12,36,36,12,12,12,36,12,36,36,36,12,12,36,12,12,
36,12,36,36,12,36,36,36,12,36,12,12,36,36,36,36,36,12,12,36,12,12,36,12,12,12,
12,12,24,36,12,12,12,36,12,12,54,54,12,6,6,18,6,12,18,12,18,18,6,6,6,18,18,6,
6,18,36,6,6,6,18,6,6,12,54,108,54,6,12,6,12,12,12,12,6,12,54,12,6,6,18,54,18,
12,54,24,54,108,24,6,36,6,12,36,12,12,72,24,24,6,6,6,12,12,12,12,12,12,108,
108,12,12,12,12,12,12,12,12,36,12,12,36,108,24,108,108,24,108,72,24,24,12,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,24,12,8,8,8,
24,48,32,12,8,48,16,24,8,8,24,16,16,16,16,16,32,16,3,9,6,7,3,9,3,2,3,9,18,12,
6,6,18,18,12,3,6,6,6,18,3,3,18,54,6,12,6,6,18,6,6,6,6,3,6,27,27,6,9,6,9,6,9,9,
9,6,9,6,18,18,6,6,6,6,9,3,6,9,9,9,6,3,3,6,3,6,6,6,6,9,9,6,6,6,18,18,18,6,6,6,
3,9,6,9,6,9,6,9,18,6,6,6,6,6,18,18,18,6,6,18,6,6,18,12,18,6,18,18,18,12,6,6,6,
18,18,6,6,18,36,6,6,6,6,6,18,18,18,12,6,6,6,6,6,54,6,6,6,6,6,6,6,6,6,6,6,6,12,
6,6,6,6,6,18,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,
36,12,12,1,4,8,4,8,4,8,12,8,12,4,4,8,24,8,8,8,8,24,8,16,1,3,1,3,1,3,3,9,6,9,9,
3,3,9,6,9,3,6,9,3,9,3,3,3,3,3,3,6,9,9,9,3,6,3,6,3,3,3,3,3,3,6,6,6,18,6,6,6,18,
6,6,6,6,6,6,6,6,1,3,2,3,2,4,4,4,4,4,4,4,8,8,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,1,
1,1,3,2,1,2,3,4,3,1,1,1,1,1,1,1,1],[1,18,108,24,45,36,56,64,6,36,72,216,216,
48,48,48,15,54,16,45,12,28,135,108,108,36,54,216,216,216,144,48,180,168,144,
270,108,216,144,144,28,108,36,48,108,48,168,48,144,48,192,64,128,192,128,9,12,
45,42,45,54,6,36,72,90,72,108,48,216,216,90,36,27,54,108,12,12,54,72,24,108,
36,12,216,216,216,32,48,54,135,108,36,270,36,144,56,360,48,144,360,144,144,72,
216,216,32,144,216,216,216,432,432,28,108,36,48,84,36,108,72,72,108,36,36,24,
24,108,36,36,72,24,144,48,48,144,96,96,288,216,72,48,144,96,72,216,168,216,
144,48,72,336,168,216,72,96,144,144,432,96,144,48,144,96,96,54,84,54,36,24,54,
18,42,72,54,12,36,36,36,24,24,72,24,72,72,48,48,144,96,54,36,12,36,72,54,36,
72,48,168,144,144,432,144,96,24,24,72,24,72,48,48,16,32,48,64,64,192,128,192,
64,128,64,64,6,1,7,3,18,4,24,72,216,216,3,6,45,18,15,18,180,72,27,4,36,27,54,
108,108,108,108,432,135,18,270,72,54,108,216,7,18,108,36,36,9,18,12,12,24,9,6,
12,36,12,12,9,4,12,18,12,27,18,12,108,72,4,12,12,27,18,42,36,108,24,72,6,6,12,
18,8,6,12,24,18,6,18,18,36,24,24,24,18,36,36,36,36,12,12,24,24,36,36,36,36,24,
24,24,24,54,24,108,24,24,54,54,18,18,54,36,72,36,108,36,36,12,36,72,24,24,48,
48,144,42,54,36,36,18,36,84,108,36,54,36,36,72,24,48,72,24,72,18,54,42,36,36,
84,54,12,108,24,18,36,72,12,36,12,24,24,24,144,48,48,18,12,24,36,24,24,24,72,
24,72,48,168,168,18,54,42,72,54,36,18,54,18,24,54,36,12,12,54,36,36,108,36,24,
24,108,72,12,36,36,24,72,108,72,72,48,24,24,72,96,144,144,432,18,42,18,72,36,
108,36,144,144,432,18,12,36,12,72,54,36,36,12,72,54,36,36,108,36,6,12,24,24,
72,24,144,48,48,18,24,18,84,54,36,24,36,108,84,168,144,108,72,24,108,24,72,
144,144,432,96,12,12,36,24,24,72,48,36,12,12,24,72,72,24,72,48,48,144,96,168,
144,432,144,144,96,8,24,24,72,24,24,24,72,72,72,72,24,24,72,72,24,24,72,24,24,
24,72,24,24,24,72,144,72,72,144,24,24,24,48,48,48,48,16,48,48,48,96,48,48,32,
32,96,32,64,48,48,48,96,32,96,32,32,96,64,64,96,96,64,64,64,64,64,18,45,6,9,
54,54,72,7,18,36,36,108,9,12,6,18,12,27,18,27,18,27,18,12,27,18,108,72,36,36,
108,216,72,72,9,18,12,12,24,9,12,4,4,12,12,12,36,12,42,36,108,24,72,18,18,36,
54,12,54,12,18,18,18,108,36,36,108,24,36,12,12,36,36,108,6,12,18,6,6,18,12,18,
18,54,18,18,54,18,54,36,54,36,36,12,36,72,24,24,72,48,18,36,72,18,12,18,12,12,
12,12,42,54,18,54,36,18,36,36,36,84,18,18,42,54,24,54,54,108,54,12,56,12,36,
12,12,24,72,48,24,72,24,48,144,48,36,24,24,168,6,18,24,18,18,36,12,24,9,18,54,
36,18,12,36,24,36,108,36,9,18,36,18,12,18,6,6,24,72,24,9,6,21,18,42,36,54,12,
18,54,18,108,36,36,108,24,54,108,12,36,12,36,24,84,27,18,12,36,36,36,36,36,12,
12,12,36,36,12,12,72,24,12,12,36,24,24,36,36,72,36,12,12,12,24,24,18,12,18,18,
18,18,36,6,12,18,6,12,24,12,12,12,24,24,18,18,12,12,12,18,18,18,24,18,36,18,
12,18,12,36,24,12,12,12,12,12,12,18,18,18,18,18,18,36,36,36,36,36,36,18,12,18,
12,18,36,18,36,12,24,36,18,18,18,36,18,36,36,36,36,36,24,12,24,72,8,24,24,12,
36,36,36,12,12,36,12,36,36,12,72,72,12,36,36,36,12,12,36,12,12,72,12,12,12,36,
12,12,12,12,12,12,24,24,72,24,12,12,36,12,12,12,36,12,12,12,36,72,72,36,72,36,
72,12,24,36,36,24,24,36,24,24,36,24,36,24,24,24,24,36,24,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,12,24,24,24,24,24,24,24,12,12,12,12,36,36,36,
36,24,24,36,36,24,36,24,36,36,36,36,36,36,36,36,36,24,24,24,24,24,24,12,24,36,
24,36,36,36,36,36,36,36,12,24,24,24,24,24,24,24,24,24,48,4,16,32,16,48,48,16,
16,16,32,48,48,96,16,48,32,16,48,96,48,32,48,32,96,32,32,32,96,16,16,16,16,16,
16,32,32,96,96,32,32,32,64,1,3,2,6,6,18,3,18,9,6,36,24,3,18,21,28,18,6,6,3,3,
6,9,4,3,6,12,9,3,6,18,54,18,18,12,54,36,54,36,3,18,9,6,21,18,28,6,18,6,36,24,
54,54,18,18,54,54,12,54,18,6,18,6,18,18,36,18,9,6,9,9,18,9,18,3,6,3,3,18,18,6,
6,6,12,6,6,6,6,6,18,6,12,6,12,18,36,3,6,3,6,6,18,6,6,6,6,6,6,6,6,18,6,18,36,
18,12,18,12,18,18,12,18,27,27,18,27,18,9,6,9,18,9,18,9,6,18,6,6,6,18,12,18,18,
18,18,36,6,12,4,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,4,12,12,4,12,
12,36,12,36,36,36,12,12,36,12,12,12,12,36,12,12,36,12,36,12,12,12,12,12,12,36,
36,12,12,12,36,12,12,12,36,36,36,36,12,24,12,12,12,12,36,12,12,18,18,12,18,18,
18,18,36,6,12,18,18,6,6,6,6,6,6,6,18,36,6,6,6,18,6,6,36,18,36,18,18,36,18,36,
36,36,36,18,36,18,12,18,18,18,18,6,12,18,24,18,36,24,18,36,18,36,36,36,36,24,
24,24,6,6,6,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,24,
36,36,24,36,24,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,4,12,8,12,12,12,16,16,48,16,16,48,8,16,16,16,16,16,16,16,16,16,16,
16,16,32,16,16,16,32,32,3,9,6,3,7,9,9,6,1,3,6,12,6,6,6,6,12,3,6,6,6,6,3,1,6,
18,18,36,18,2,6,6,6,6,6,9,18,9,9,6,3,6,9,18,9,9,9,6,9,6,18,6,6,6,6,18,9,3,6,3,
9,9,6,9,3,6,3,6,6,6,6,3,3,6,6,6,6,6,6,6,6,6,3,3,6,3,6,3,6,27,18,6,6,6,6,6,18,
18,6,18,18,6,6,6,6,12,18,6,18,6,18,12,6,6,6,6,18,6,6,6,36,6,6,6,6,6,18,18,18,
36,6,6,18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,24,4,12,12,4,4,12,
12,12,12,4,12,12,4,4,4,4,4,4,4,4,8,8,24,16,16,16,3,1,3,3,3,3,3,3,6,9,9,9,9,9,
6,3,3,6,9,9,9,3,3,3,3,3,3,6,3,3,3,3,6,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,18,108,45,36,64,96,96,6,216,15,54,45,135,108,
54,216,216,180,270,216,108,108,288,96,96,288,288,288,576,9,45,45,54,90,216,90,
27,54,54,72,54,135,270,360,360,72,216,216,216,108,108,108,108,216,216,216,216,
432,54,54,54,54,54,54,432,128,128,96,240,48,48,72,72,96,96,288,288,288,288,6,
45,15,180,27,27,108,135,270,108,108,27,108,27,108,54,108,54,54,54,108,54,54,
54,54,54,108,108,108,432,108,432,54,54,108,54,108,108,108,432,432,384,384,72,
72,72,72,144,144,144,72,144,72,288,144,288,144,144,96,96,64,18,45,9,108,27,27,
27,27,108,108,216,108,18,18,54,54,108,54,54,54,108,54,54,108,54,108,27,96,96,
24,6,6,60,48,72,48,72,72,72,144,72,144,72,144,144,64,1,54,54,54,54,27,27,96,
96,6,6,18,18,18,36,18,72,72,72,72,9,24,24,1,6,6,18,18,18,18,24,24,9,6,6,2,2,6,
6,1,1],[1,18,72,45,64,96,96,6,144,15,45,135,108,180,270,108,144,192,288,288,
288,288,45,45,18,90,90,108,135,270,360,360,216,108,108,144,432,54,108,216,128,
128,96,240,48,48,72,72,96,96,144,144,144,144,6,9,45,15,180,135,270,27,36,54,
108,216,54,108,216,54,108,216,54,108,216,64,192,72,144,192,144,72,72,144,72,
144,144,144,144,144,64,18,45,27,36,54,108,18,108,216,27,54,108,96,96,24,6,6,
60,36,48,72,48,72,36,72,36,36,72,64,1,9,54,9,54,48,48,12,72,18,18,18,18,36,36,
72,9,24,24,1,6,6,9,9,9,9,12,12,3,9,9,2,2,1,3,1,1],[1,18,45,72,64,96,96,6,15,
45,36,135,180,216,270,36,216,192,288,288,288,288,45,54,45,90,90,135,270,72,
360,360,36,108,216,432,216,108,54,216,128,128,96,240,48,48,72,72,144,96,96,
144,144,144,6,9,45,15,180,135,270,9,54,54,108,54,108,216,216,54,54,108,108,
216,216,64,192,48,288,72,144,72,144,72,144,144,72,144,144,144,64,18,45,9,54,
54,108,54,72,216,27,54,108,96,96,24,6,6,60,48,72,48,72,36,36,72,36,36,72,64,1,
27,36,27,36,48,48,36,48,18,18,18,18,36,36,72,9,24,24,1,6,6,9,9,9,9,12,12,3,9,
9,2,2,1,3,1,1],[1,18,180,45,60,160,6,360,240,15,90,80,45,135,180,90,360,360,
180,270,360,180,180,96,480,160,480,15,60,45,45,90,90,360,90,45,90,60,90,120,
120,90,135,270,360,360,120,360,360,360,180,180,180,180,360,360,360,360,360,
360,720,90,90,90,90,180,90,180,90,360,720,120,120,96,288,288,80,320,120,160,
480,480,6,5,15,45,15,180,45,45,180,135,270,180,180,45,45,90,45,180,45,180,30,
30,30,90,180,180,90,180,90,90,90,180,90,90,180,90,90,90,90,90,180,180,180,180,
360,720,180,720,90,180,90,180,90,180,90,90,180,180,180,720,180,360,720,360,
360,360,360,96,288,288,120,120,240,120,240,240,160,18,45,15,180,45,90,45,45,
45,45,180,180,360,45,180,30,30,90,90,180,30,90,90,90,90,90,90,180,90,180,30,
90,45,90,45,90,180,90,180,45,60,180,60,60,180,180,90,90,90,90,90,90,180,90,90,
180,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,96,10,20,80,120,
60,120,240,120,240,64,1,10,30,15,15,15,45,90,90,90,90,30,30,90,45,45,45,45,45,
45,90,90,90,90,90,180,90,90,90,90,90,180,180,180,180,180,180,180,6,10,30,30,
120,60,60,120,15,30,90,45,45,90,6,18,18,5,10,20,30,30,60,5,6,18,18,10,15,6,5,
1,3,1],[1,18,180,45,60,160,6,60,120,360,360,15,90,45,20,135,180,180,90,360,
360,360,180,270,180,360,180,180,96,160,480,480,15,45,45,90,120,90,120,180,360,
360,90,45,90,180,90,120,180,360,360,360,90,135,180,270,360,360,120,360,360,
240,360,360,360,720,720,180,180,180,180,360,360,360,360,720,90,90,90,90,90,90,
720,96,288,288,80,240,80,120,160,480,480,6,30,40,120,360,360,45,15,30,180,45,
60,45,90,180,180,180,180,720,135,270,90,180,360,180,45,180,45,180,90,180,90,
90,90,180,90,180,90,90,90,180,90,90,90,90,90,180,180,180,720,180,720,90,90,
180,90,180,180,180,720,720,96,288,288,120,120,240,120,240,240,240,240,480,160,
18,45,15,90,90,120,180,45,45,45,45,180,180,360,180,30,30,90,90,180,180,180,30,
30,90,90,90,90,90,90,90,90,90,180,90,90,180,90,90,180,180,90,180,45,120,96,10,
20,80,240,80,120,120,120,240,240,16,48,1,5,90,90,90,90,90,90,90,90,30,45,45,
45,6,10,30,30,60,120,60,48,48,96,15,15,45,6,18,18,10,20,30,30,60,16,48,5,6,18,
18,10,6,5,1],[1,6,60,25,60,80,160,5,90,80,15,40,15,60,30,120,60,240,240,60,
120,240,60,120,240,120,96,160,160,320,160,320,15,60,10,60,20,60,15,30,30,15,
30,60,80,60,240,20,120,60,60,120,60,60,120,120,120,60,120,240,120,240,120,480,
120,30,60,60,60,120,30,60,30,60,120,240,120,240,120,60,120,120,96,96,96,80,
320,120,160,160,320,160,320,1,5,10,15,15,30,15,15,30,60,15,30,30,60,30,15,30,
15,15,30,60,120,15,30,45,30,60,60,120,60,60,120,30,60,60,30,60,30,60,30,60,60,
60,60,15,30,60,60,60,120,60,60,60,120,240,30,30,120,120,240,120,60,120,240,60,
120,240,60,60,60,120,120,120,120,96,192,120,40,80,80,160,320,40,80,80,80,160,
1,15,30,15,30,60,30,15,20,60,15,15,15,30,30,60,20,30,60,5,15,15,30,15,30,30,
10,30,60,120,60,15,15,30,60,30,60,30,60,30,15,45,30,60,30,60,60,120,30,30,30,
60,120,30,30,30,30,30,30,60,60,60,60,60,60,120,96,10,20,40,60,40,40,80,80,80,
80,64,5,15,10,15,15,15,30,15,30,15,30,60,30,30,30,30,60,15,15,15,15,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,6,10,10,20,40,10,40,20,20,20,40,40,64,15,5,
15,15,15,15,15,30,30,30,30,6,6,6,5,10,10,10,20,20,20,20,15,6,12,5,10,10,6,5,1,
1,2,1],[1,6,60,25,60,160,5,90,80,15,15,60,30,120,60,60,120,40,60,120,120,240,
96,160,160,160,15,60,10,20,15,30,30,15,30,60,20,120,60,60,120,60,60,120,60,
240,120,30,60,60,60,120,240,30,60,30,120,120,240,120,60,120,96,96,96,80,320,
120,160,160,160,1,5,15,15,15,10,60,60,15,30,15,30,30,15,15,30,15,30,30,60,60,
15,30,45,30,60,60,30,60,30,60,60,60,30,60,60,30,60,30,60,30,60,15,60,60,30,30,
120,120,60,60,60,60,60,96,192,120,40,80,40,80,80,160,1,15,15,30,15,20,15,15,
15,30,30,30,5,15,30,15,30,30,15,30,30,10,30,30,15,15,30,30,30,15,45,60,60,60,
30,30,30,30,30,60,30,30,60,30,30,60,30,30,60,60,96,10,20,60,40,80,40,40,80,64,
5,10,15,15,15,15,30,15,15,30,30,15,15,15,15,30,30,30,30,30,30,30,30,30,30,6,
10,10,10,20,20,40,40,5,15,15,15,15,15,15,6,6,6,5,10,10,10,20,20,15,6,12,5,10,
6,5,1,1,1],[1,18,60,45,20,64,6,120,15,30,45,135,60,30,120,120,180,270,120,60,
60,240,240,16,320,5,45,45,30,90,120,90,15,30,30,40,30,135,270,360,360,40,120,
120,120,60,60,60,60,120,120,120,120,240,30,30,120,30,30,120,240,30,30,240,240,
240,16,48,48,96,240,320,64,6,45,15,180,15,15,60,135,270,60,60,60,60,15,60,15,
60,30,60,30,30,60,240,30,60,60,60,240,60,30,30,30,30,30,60,60,60,240,60,240,
30,30,60,30,60,60,60,240,240,120,120,120,16,48,48,96,96,80,160,160,64,18,45,5,
60,15,15,15,15,60,60,120,60,10,10,30,30,60,30,30,30,60,30,30,120,30,30,60,30,
60,15,60,60,60,60,60,60,60,60,60,120,16,48,48,24,60,160,80,16,64,1,30,30,30,
30,30,15,15,30,15,15,30,30,30,60,60,60,60,1,48,20,40,40,16,5,15,15,30,30,1,3,
3,1,20,40,4,16,15,1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,18,108,45,36,64,192,6,
36,72,216,216,48,15,54,16,45,12,135,108,108,54,216,216,216,180,270,108,216,
108,48,108,144,192,64,576,576,9,12,45,45,54,72,90,72,108,216,216,90,27,54,108,
12,54,72,24,108,216,216,216,54,135,108,270,360,360,72,216,216,144,216,216,216,
432,432,108,48,108,108,108,72,144,144,288,216,72,216,216,216,432,144,54,54,54,
54,36,72,144,54,36,72,54,72,432,24,24,256,96,48,240,16,96,128,144,192,192,64,
192,192,192,6,1,18,24,72,216,216,3,45,15,18,180,27,36,27,54,108,108,108,108,
432,135,270,54,108,216,108,9,36,9,12,18,27,108,27,108,6,6,6,18,36,36,54,108,
54,54,54,36,72,108,36,144,54,108,54,72,72,54,54,108,18,36,72,36,144,18,36,72,
72,54,54,54,54,54,108,108,36,108,72,432,108,432,18,36,72,54,36,72,54,108,72,
144,18,54,108,108,108,432,36,72,72,144,432,72,72,72,72,256,16,48,48,48,96,48,
48,96,144,48,144,48,96,288,288,288,288,64,96,96,192,18,45,9,54,54,72,108,9,18,
27,27,27,27,108,108,216,9,12,36,108,18,18,36,54,54,108,108,108,6,18,18,54,54,
54,54,36,72,18,36,72,18,18,54,54,54,54,54,108,54,36,72,72,144,36,6,18,54,108,
9,18,36,18,18,72,9,54,54,108,108,54,108,36,36,27,12,36,12,12,36,36,18,18,18,
18,18,18,36,18,18,36,18,18,36,72,36,36,36,72,36,36,72,36,36,36,72,72,36,36,36,
36,36,36,36,36,36,36,36,36,64,192,24,12,60,8,16,16,96,96,48,144,144,24,48,48,
96,48,48,96,48,48,96,96,48,96,96,1,3,2,6,3,18,9,36,18,3,3,54,54,54,3,18,9,18,
36,54,54,54,54,54,18,6,6,18,9,9,18,18,18,18,36,18,18,27,27,27,9,9,18,18,36,36,
36,36,36,36,36,36,18,18,18,36,18,18,36,18,18,18,18,18,36,36,36,36,36,36,36,64,
64,4,12,36,36,12,12,16,48,48,72,72,24,24,48,48,3,9,9,9,6,18,9,9,9,9,18,9,9,27,
18,18,18,18,18,36,18,18,48,16,1,2,12,12,8,8,8,24,12,12,12,12,12,12,12,12,12,
12,24,24,3,1,3,9,9,9,9,16,16,9,4,6,12,12,12,3,4,8,1,3,1,2,3,4,1,3,1,1],[1,18,
36,45,12,144,64,192,6,72,48,15,18,16,45,72,135,36,18,72,72,180,432,144,270,72,
144,72,36,36,144,432,144,384,1152,576,192,3,12,45,108,45,18,90,72,90,36,9,18,
12,18,24,24,18,135,270,36,144,360,144,360,24,72,72,72,72,36,216,36,36,36,72,
72,72,72,72,432,72,144,72,864,432,72,72,288,144,144,288,18,216,18,36,72,18,
108,18,36,72,144,18,36,18,36,72,144,432,144,144,144,24,24,72,144,256,96,48,
240,16,96,128,144,192,64,576,192,576,192,6,1,18,3,45,15,180,9,9,36,135,18,270,
36,18,36,36,9,36,9,18,36,9,36,9,18,108,36,36,6,6,18,6,18,18,36,18,36,36,36,36,
72,72,18,36,18,18,18,36,36,72,144,108,36,36,216,18,108,36,216,18,36,36,72,18,
36,72,144,18,36,72,36,432,432,18,108,18,36,18,18,18,36,36,36,36,72,72,144,108,
36,36,144,144,18,36,18,36,18,36,36,36,36,18,18,216,18,36,72,36,36,216,432,144,
36,36,144,36,72,432,144,144,144,72,72,72,72,144,72,72,144,72,72,72,144,144,
144,144,256,96,96,576,96,288,576,384,48,48,144,48,96,96,288,96,288,96,96,576,
192,18,45,3,18,36,36,9,18,9,18,9,9,9,36,36,72,9,108,36,36,6,6,18,18,18,36,36,
36,36,6,36,18,18,18,36,108,36,36,216,18,108,18,18,18,36,18,36,144,36,432,6,18,
18,18,9,18,18,72,9,18,54,108,18,18,36,36,18,36,216,9,12,36,12,12,36,36,36,72,
36,18,18,18,18,18,18,36,18,18,36,36,36,18,18,36,36,18,36,18,36,36,18,18,18,18,
36,36,36,36,72,36,36,36,36,72,36,72,36,72,36,72,36,36,36,36,36,72,36,72,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,
72,72,72,72,144,64,192,24,12,60,8,16,16,96,48,144,24,48,144,48,48,96,288,48,
96,144,48,48,288,96,96,96,96,1,2,6,54,72,18,3,3,9,3,9,54,72,18,18,18,18,18,6,
6,18,9,9,9,9,18,9,18,18,18,18,18,36,18,9,9,9,18,9,18,18,18,18,18,36,36,36,36,
36,36,36,36,36,36,36,36,18,18,18,18,18,36,18,36,18,18,18,18,18,18,36,36,36,18,
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,
36,36,36,36,36,36,36,36,192,64,72,96,72,48,36,12,12,12,24,24,24,24,48,48,48,
144,288,48,48,96,18,3,9,18,9,6,18,9,9,9,18,9,9,9,9,18,9,18,18,18,18,36,18,18,
18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,48,16,1,2,12,8,8,8,24,
12,36,12,12,12,12,36,12,12,12,12,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,
18,18,48,16,6,3,6,12,12,36,12,12,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,
1,1],[1,18,36,24,45,12,72,64,192,6,12,24,72,72,48,15,18,45,4,36,135,36,36,36,
18,72,72,72,144,180,216,144,270,36,72,144,144,36,36,36,36,216,48,64,192,576,
384,192,3,45,54,45,18,6,36,24,90,24,36,48,72,72,90,36,9,18,36,18,24,36,36,72,
72,72,18,135,36,36,270,36,144,72,360,48,144,360,144,144,24,72,72,48,72,72,72,
144,144,36,36,36,108,36,36,72,72,36,36,36,36,36,36,48,72,144,72,72,216,72,144,
72,432,216,72,72,144,144,144,144,18,108,18,36,18,18,54,72,18,36,36,72,72,18,
36,18,36,216,144,144,144,144,72,72,256,96,240,96,96,192,32,144,64,64,192,192,
192,192,192,6,9,3,6,8,24,72,72,45,18,15,6,180,72,9,12,9,18,36,36,36,36,144,
135,18,270,72,18,36,72,9,18,36,36,36,9,18,12,9,18,36,72,9,18,54,36,36,72,18,
18,18,18,36,36,36,36,36,36,36,18,36,18,18,18,18,18,36,36,36,36,72,54,18,36,36,
18,36,108,36,36,18,36,36,72,18,18,54,36,36,108,18,36,216,216,18,18,54,72,18,
36,18,18,18,18,36,18,36,36,36,36,36,72,36,72,36,72,72,144,144,144,18,54,18,72,
36,36,36,144,144,144,18,36,18,36,36,36,36,18,108,18,36,36,36,108,216,144,36,
72,36,72,144,144,144,36,72,72,216,144,144,144,144,72,72,72,72,72,72,72,144,72,
144,256,48,48,64,288,48,144,96,96,288,96,192,96,96,288,192,192,64,192,18,45,6,
3,18,18,24,9,18,36,36,36,9,18,9,18,9,18,9,18,36,72,36,36,36,72,72,72,9,18,12,
54,36,36,72,6,6,18,18,18,18,18,36,36,36,36,36,36,36,36,6,6,6,6,12,18,18,18,18,
18,18,18,18,36,18,36,36,72,54,18,18,18,36,18,36,36,36,108,18,18,54,18,18,18,
36,18,72,216,18,18,36,9,18,18,36,18,36,36,36,36,27,18,54,36,18,18,18,18,36,36,
36,36,18,36,108,9,18,36,36,36,36,36,36,72,36,72,36,18,18,18,18,36,18,18,18,18,
36,18,18,18,18,18,18,36,36,36,36,36,36,18,36,18,36,18,36,18,36,36,36,36,24,36,
36,36,72,36,36,36,72,36,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,192,64,24,12,
24,60,8,24,32,32,48,96,96,144,32,48,48,96,48,96,48,1,1,6,18,3,18,27,36,9,9,3,
6,18,18,18,18,18,36,18,36,27,18,36,18,18,18,18,18,18,18,6,18,18,18,36,9,18,9,
18,18,36,18,18,18,18,18,9,9,18,9,18,9,18,9,18,18,18,18,18,36,36,36,36,36,36,
36,36,36,18,18,18,18,36,18,18,36,18,36,18,36,36,36,36,18,36,18,18,18,18,36,18,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,64,4,24,
36,48,12,36,24,24,48,24,24,24,24,24,24,48,24,48,3,9,3,3,6,18,36,18,9,18,9,18,
9,9,18,9,9,9,18,18,18,18,18,18,36,18,18,18,48,32,1,1,4,12,8,24,12,24,12,12,12,
24,24,24,1,3,3,9,9,9,9,16,3,1,3,3,6,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,
18,108,45,36,64,192,6,12,24,72,216,144,15,54,48,45,4,135,108,36,54,72,216,216,
180,270,36,216,108,48,108,144,64,192,576,576,9,36,45,45,54,24,90,24,36,216,72,
90,27,54,36,36,54,72,72,36,72,72,72,54,135,36,270,360,360,72,72,216,48,216,72,
216,144,144,108,48,108,108,108,216,144,144,288,216,216,216,216,216,432,144,54,
54,54,54,108,72,144,54,108,72,54,216,432,72,72,256,96,240,96,96,192,32,144,64,
64,192,192,192,192,192,6,3,6,8,24,72,72,9,45,15,6,180,27,12,27,18,36,36,108,
36,144,135,270,18,108,72,108,27,36,27,12,54,27,108,27,108,18,18,18,54,108,108,
54,108,54,18,54,36,72,36,36,144,18,36,18,72,72,18,54,108,54,36,72,36,144,54,
108,72,72,54,54,54,54,54,108,108,108,108,216,432,108,432,54,108,72,54,108,72,
54,108,72,144,54,54,108,108,108,432,108,216,72,144,432,216,216,216,216,256,48,
64,48,96,192,144,144,96,288,96,288,288,288,192,64,192,18,45,9,18,18,24,108,27,
54,27,27,27,27,108,108,216,27,12,36,108,18,18,36,54,54,36,108,36,18,6,6,18,18,
18,18,36,72,54,36,72,54,54,18,18,54,54,54,108,54,36,72,72,144,108,18,54,18,36,
27,18,36,54,18,72,27,54,18,36,108,54,108,36,36,27,36,108,36,36,108,108,54,54,
54,54,54,54,108,54,54,108,54,54,108,24,36,36,36,72,36,36,72,36,36,36,72,72,
108,108,108,108,108,108,108,108,108,108,108,108,192,64,24,12,24,60,8,24,32,48,
32,96,96,144,32,48,48,48,96,96,48,1,1,6,18,3,18,9,36,18,9,9,18,18,18,9,18,27,
18,36,54,18,54,54,54,6,18,18,54,27,27,18,18,18,18,36,18,18,27,9,27,27,27,54,
54,36,36,36,36,36,36,36,36,54,54,18,36,18,54,108,54,54,54,54,54,108,108,108,
108,108,108,108,64,64,4,24,12,24,48,36,36,24,48,72,72,24,24,24,48,3,9,9,3,18,
54,27,27,9,9,18,9,9,9,18,18,18,18,18,36,18,54,48,32,1,1,4,12,8,24,36,12,12,12,
24,24,24,1,3,3,9,9,9,9,16,1,3,9,3,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,18,
36,72,45,12,24,64,192,6,72,144,48,144,15,18,16,45,12,135,36,108,18,72,72,144,
144,180,72,270,72,144,12,36,108,36,72,144,192,64,576,192,384,3,12,45,18,45,18,
18,36,90,72,90,9,18,36,12,18,24,24,108,36,96,144,18,135,36,270,24,360,360,144,
24,72,96,72,72,12,36,36,36,36,36,216,72,36,108,36,72,72,36,108,36,72,72,144,
288,72,72,144,72,72,72,144,72,72,144,144,432,18,36,18,18,54,18,72,18,36,36,36,
108,72,72,72,216,144,18,36,36,36,18,72,72,144,144,24,24,72,72,256,96,48,240,
16,96,128,144,192,192,64,192,192,192,6,1,3,9,12,3,18,45,18,15,180,9,12,9,36,
135,270,36,3,18,36,36,27,18,36,36,9,18,36,36,9,12,18,9,18,36,36,12,36,36,9,18,
36,6,6,36,18,24,18,36,72,6,18,36,36,36,36,36,36,36,36,72,18,36,18,54,18,36,
108,216,18,36,54,36,36,36,108,216,18,36,36,18,36,18,36,72,18,36,72,72,72,18,
18,18,72,18,54,18,18,72,18,36,36,36,18,36,36,36,36,72,72,36,36,36,108,72,72,
36,72,216,144,144,54,18,18,72,36,36,144,18,36,36,36,18,36,36,36,18,36,18,36,
72,72,144,18,36,18,36,36,72,36,36,144,144,36,36,36,72,72,72,108,36,36,72,72,
216,144,72,144,24,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,256,16,144,192,96,48,48,144,48,96,96,96,288,96,96,96,288,64,96,
96,192,18,45,3,3,18,36,9,36,18,18,9,9,9,18,36,9,36,36,36,72,27,18,36,36,9,12,
12,36,36,36,18,36,6,6,18,18,54,36,36,108,6,18,18,18,18,36,108,216,18,18,18,36,
18,18,36,36,18,18,18,18,36,18,24,36,36,72,36,72,6,18,36,36,27,54,108,36,9,18,
18,9,9,18,18,18,36,18,36,36,36,9,12,36,12,12,36,36,36,36,36,72,72,36,36,36,72,
72,36,36,36,36,72,72,18,18,18,18,18,36,72,36,36,36,72,72,18,18,36,36,36,18,18,
18,72,18,18,36,36,36,18,18,36,18,18,18,18,36,36,18,18,36,36,36,24,72,72,36,36,
36,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,
36,36,72,72,36,36,36,36,36,36,36,36,72,72,36,36,36,36,64,192,24,12,60,8,16,16,
96,48,48,144,48,48,24,48,96,48,96,48,48,48,96,96,96,96,1,2,6,9,54,9,12,3,3,18,
9,12,9,18,36,9,18,54,3,9,9,12,18,18,18,18,18,6,6,18,9,9,9,9,9,9,18,18,18,18,
18,18,18,18,18,18,18,18,18,9,9,9,9,9,9,18,18,18,18,18,12,36,36,36,36,36,12,36,
36,12,36,36,36,36,36,36,36,36,36,36,36,36,36,18,18,18,18,18,18,18,18,18,36,18,
18,18,18,18,18,18,36,36,36,72,36,36,36,36,36,36,36,36,72,36,36,36,64,64,12,72,
12,16,36,12,12,12,16,24,24,24,24,24,48,48,48,48,96,9,3,3,3,9,18,18,18,18,3,6,
18,6,18,9,9,9,9,9,9,18,9,9,9,9,18,18,18,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,48,16,1,2,12,8,8,8,24,12,12,12,12,12,12,12,12,12,12,12,24,24,24,
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],[1,18,36,144,45,12,64,192,6,12,24,72,72,288,144,15,18,45,4,135,36,36,216,
18,72,72,72,144,180,270,36,72,36,216,36,144,288,144,384,1152,576,192,3,45,45,
18,36,24,90,24,36,72,72,90,9,18,36,36,18,24,36,216,36,72,72,72,144,18,135,36,
270,360,360,24,72,72,48,72,72,72,144,144,36,36,432,36,216,72,72,36,216,72,288,
144,288,288,72,144,288,72,72,144,72,144,144,864,18,18,72,18,108,18,36,216,72,
72,72,432,144,144,18,36,18,144,144,72,144,256,96,240,96,96,192,32,144,64,64,
192,576,192,576,192,6,18,6,8,24,72,72,18,45,15,6,180,9,12,9,18,36,36,36,36,
144,135,270,18,36,72,36,54,72,18,36,36,36,9,36,36,9,36,18,36,36,72,18,36,72,
18,18,108,18,36,36,216,432,144,144,18,108,36,18,216,144,72,432,18,18,36,36,36,
36,72,144,144,36,72,72,72,144,18,18,108,18,18,36,18,36,72,36,36,216,36,144,
432,144,108,36,144,36,18,18,36,18,72,72,72,144,144,72,18,36,36,72,36,144,36,
36,72,144,216,72,72,432,144,144,144,72,72,72,72,72,72,72,72,72,256,288,288,
384,192,192,192,576,192,48,144,96,288,96,96,96,288,192,192,576,18,45,3,18,18,
24,36,18,36,9,9,9,9,36,36,72,54,72,36,36,36,36,6,6,18,36,18,108,36,36,216,36,
6,36,6,18,18,18,18,216,36,432,144,36,36,18,18,18,18,18,36,18,36,36,36,144,72,
72,144,144,72,36,54,18,108,216,36,36,18,18,72,72,18,18,18,36,36,18,36,36,36,
72,9,36,36,36,36,18,18,36,36,36,36,36,24,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,72,36,72,72,36,36,36,36,72,72,36,36,72,192,64,24,12,24,60,8,24,32,
32,96,96,144,32,48,48,144,288,96,96,96,96,48,144,96,288,96,1,1,18,72,18,108,
18,18,9,18,18,108,18,18,18,18,18,72,18,18,18,18,18,6,9,9,9,18,18,18,18,9,9,18,
18,9,9,9,18,18,36,36,36,36,36,36,36,36,18,18,18,18,18,18,72,18,18,18,72,36,36,
36,36,36,36,36,36,72,72,192,64,24,144,24,24,72,48,96,12,36,24,24,24,24,24,24,
96,144,288,96,48,96,18,18,3,3,9,18,18,9,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,36,48,32,1,1,4,12,8,12,36,24,36,24,12,24,24,24,24,24,24,24,1,9,9,9,9,9,
9,48,32,6,6,3,3,36,24,12,24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,15,60,120,
16,240,5,90,80,30,180,360,90,360,180,96,160,160,960,240,240,480,15,60,15,90,
30,90,180,180,180,180,720,45,90,180,90,180,60,90,180,160,96,20,20,100,400,120,
80,80,240,240,480,240,240,96,1,5,15,15,45,45,90,180,90,45,90,180,90,180,90,
180,90,180,180,160,160,160,288,120,120,120,120,360,720,60,60,60,120,60,240,
240,96,15,15,90,30,45,45,45,90,45,90,45,90,90,80,80,160,1,10,25,20,20,20,60,
60,60,120,60,60,60,60,60,60,60,64,96,5,45,45,45,45,45,45,80,80,6,10,10,30,90,
15,30,15,60,60,60,60,60,96,45,10,20,6,16,5,5,5,5,15,30,15,15,15,6,10,10,10,20,
18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,18,108,45,36,144,64,96,96,6,216,15,
54,45,72,135,108,54,216,216,180,432,432,270,216,432,72,108,108,432,288,96,384,
576,96,288,288,288,576,576,9,45,108,45,54,90,216,90,108,27,54,54,72,54,135,
270,108,144,360,432,360,72,216,216,216,72,108,216,108,108,108,216,216,216,432,
216,432,216,864,432,216,216,432,432,54,216,54,108,54,108,54,54,54,108,432,432,
432,432,216,128,128,96,240,48,48,72,72,288,96,96,288,288,576,288,288,576,576,
288,288,288,6,18,45,15,180,27,27,108,135,54,270,108,18,108,108,27,108,27,54,
108,108,108,54,54,54,108,108,108,54,108,54,54,54,108,108,108,108,216,54,108,
108,216,54,108,432,432,54,108,54,108,54,54,54,108,108,108,432,108,108,108,432,
432,54,54,108,108,108,108,54,216,54,108,108,108,216,432,432,108,108,432,432,
432,432,432,216,432,216,432,128,384,384,384,96,72,72,72,72,576,144,144,144,
288,144,72,144,72,288,144,288,144,144,144,96,96,288,288,288,288,288,288,64,18,
45,9,18,108,108,27,54,27,27,27,108,108,216,108,108,108,18,18,54,54,54,108,108,
108,108,108,108,216,54,108,54,54,54,108,54,144,432,54,54,54,108,54,54,108,108,
54,108,216,27,108,216,108,54,54,108,54,54,108,108,54,54,216,108,216,108,216,
108,108,108,108,108,108,108,108,108,108,108,108,96,96,384,24,6,6,60,48,72,48,
72,72,72,72,144,72,144,72,144,72,144,144,288,144,144,144,72,72,144,288,64,128,
1,54,72,27,54,72,54,54,54,54,54,27,54,108,54,27,27,54,54,108,108,108,108,54,
108,54,108,108,108,108,96,96,96,96,6,6,18,18,72,96,36,18,36,18,72,72,72,72,72,
36,72,72,72,72,144,72,64,18,9,27,54,27,54,54,108,24,24,96,1,6,6,18,18,18,18,
36,18,18,18,18,72,36,36,72,27,24,24,24,24,6,9,6,6,18,18,18,18,18,18,2,2,24,9,
18,2,6,6,6,1,6,1,2,1],[1,18,108,144,45,36,64,96,96,6,216,288,432,15,54,45,135,
108,216,54,216,216,432,180,270,216,108,216,108,288,384,288,96,96,288,576,288,
576,288,576,9,45,45,54,36,90,216,90,27,54,108,54,72,216,108,432,54,135,270,
360,360,72,216,216,216,108,108,432,108,216,216,216,108,216,216,288,864,216,
216,216,216,432,864,54,54,54,108,54,108,216,216,216,432,432,54,108,54,432,216,
128,128,96,240,48,48,72,72,96,96,288,288,288,576,288,288,576,288,576,288,288,
6,18,54,45,15,180,27,27,108,135,270,108,108,54,72,54,108,27,108,108,27,108,54,
108,108,216,54,108,54,108,54,216,432,108,216,432,54,108,108,216,216,54,54,108,
54,54,108,54,108,216,108,108,216,108,432,432,108,108,432,108,54,54,108,54,216,
216,432,54,108,108,108,432,108,108,216,216,216,432,432,432,216,216,216,216,
216,216,128,384,384,384,72,72,144,288,72,384,72,144,144,288,144,72,144,144,72,
288,144,288,144,144,96,96,288,288,288,288,288,288,64,18,45,9,108,54,27,27,27,
27,108,108,216,54,72,108,108,108,18,18,54,54,108,108,216,36,216,432,108,54,54,
54,108,54,108,108,216,108,54,108,216,54,54,108,54,108,108,27,108,108,108,108,
54,54,108,108,108,108,108,108,108,108,108,108,108,108,108,216,108,216,216,216,
216,108,96,96,384,24,6,6,60,72,48,72,48,72,144,72,144,144,72,72,144,144,288,
72,144,72,144,144,72,72,144,288,64,128,1,18,108,27,18,108,54,54,54,54,54,27,
27,27,54,54,54,27,27,54,54,108,108,108,108,54,54,54,54,216,216,96,96,96,96,24,
144,6,6,18,18,36,18,36,18,72,72,72,72,72,36,72,72,72,72,144,72,64,18,9,27,54,
27,54,54,54,54,24,24,96,1,6,6,18,36,18,18,18,18,18,18,18,36,36,72,72,27,24,24,
24,24,6,9,6,6,18,18,18,18,18,18,2,2,24,9,18,2,6,6,6,1,6,1,2,1],[1,18,108,45,
36,64,96,96,6,216,15,54,45,135,108,54,216,216,180,270,216,108,144,108,432,288,
96,96,288,288,288,576,9,45,45,54,90,216,90,27,54,54,72,54,135,270,360,360,72,
216,216,216,108,108,108,108,216,216,216,216,432,54,54,54,54,216,432,54,216,54,
432,128,128,96,240,48,48,72,72,96,96,288,288,288,288,576,6,45,15,180,27,27,
108,135,270,108,108,108,36,27,108,27,108,54,108,54,54,108,108,216,54,108,108,
108,216,54,54,54,54,54,108,108,108,432,108,432,54,54,108,54,108,108,108,432,
432,384,384,72,72,72,72,144,144,144,72,144,72,288,144,288,144,144,96,96,64,18,
45,9,108,27,27,27,27,108,108,216,108,18,18,54,54,108,54,54,54,108,54,54,54,54,
108,54,108,108,27,108,108,216,108,108,216,96,96,24,6,6,60,48,72,48,72,72,72,
144,72,144,72,144,144,144,64,1,9,27,54,54,54,54,54,54,54,54,27,27,96,96,6,6,
18,18,18,36,18,72,72,72,72,64,9,27,27,24,24,1,6,6,18,18,18,18,36,9,24,24,9,6,
6,2,2,9,6,6,1,1,1],[1,18,180,80,45,60,160,6,60,120,360,360,160,240,15,90,45,
20,135,180,180,120,90,360,360,360,240,180,270,180,360,180,120,180,240,160,240,
96,160,480,320,480,320,15,45,45,90,20,120,90,120,180,360,360,90,45,90,180,60,
90,120,180,120,60,360,360,360,240,90,135,180,270,360,360,120,360,360,240,360,
360,360,720,720,180,180,240,180,120,120,120,180,120,120,160,240,480,480,360,
240,480,360,360,240,360,720,240,480,90,90,120,90,60,90,60,120,120,120,120,240,
240,240,90,60,90,240,720,120,240,96,288,288,80,240,80,120,160,160,480,160,320,
480,320,160,160,6,10,30,40,120,360,360,30,45,15,30,180,45,60,45,90,180,180,
180,180,720,135,270,90,180,360,180,30,40,30,60,60,60,45,180,60,45,180,30,60,
60,120,90,180,120,90,90,60,90,180,60,120,240,240,240,90,60,180,90,120,240,120,
240,90,90,60,180,60,60,120,240,240,60,120,120,120,240,90,90,60,90,90,60,90,
180,120,180,60,120,180,240,240,720,60,180,720,60,90,90,180,30,120,120,120,240,
240,120,90,180,180,120,180,720,60,60,120,240,120,120,120,240,240,240,720,120,
120,120,120,120,120,120,120,120,96,288,288,192,192,120,120,80,240,160,160,160,
120,240,80,240,240,240,480,160,160,160,160,160,160,160,18,45,15,90,90,120,180,
30,60,45,45,45,45,180,180,360,30,40,60,60,60,180,30,30,90,60,90,60,180,180,
120,180,30,20,30,90,90,90,90,120,60,240,240,60,60,90,90,90,90,90,180,90,60,60,
60,240,120,120,240,240,120,60,30,90,60,120,180,60,30,30,120,120,30,90,90,180,
180,90,180,60,60,120,45,60,60,60,60,30,30,60,60,60,60,60,120,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,120,60,120,120,60,60,60,60,120,120,60,60,120,
96,96,96,10,20,80,40,240,80,120,40,80,80,80,120,80,120,80,240,240,40,40,80,80,
80,160,16,48,1,5,30,120,10,60,30,30,15,10,90,60,90,90,30,30,30,120,90,90,90,
90,90,30,15,15,15,30,30,30,30,15,15,30,30,45,45,45,30,30,60,60,60,60,60,60,60,
60,30,30,30,30,30,30,120,30,30,30,120,60,60,60,60,60,60,60,60,120,120,6,96,10,
30,20,40,30,60,120,40,20,60,40,40,40,80,40,80,80,40,48,48,96,32,32,30,10,15,
15,15,30,30,15,15,15,45,30,30,30,30,30,30,30,30,30,30,30,30,60,6,18,18,10,20,
10,10,20,30,30,10,10,20,20,20,60,20,20,40,16,48,16,16,16,16,5,15,15,15,15,15,
15,6,18,18,12,12,10,10,10,10,10,10,20,10,20,16,16,15,6,6,6,5,10,6,5,1,1],[1,
18,180,45,60,80,160,6,360,240,15,90,80,45,40,135,180,90,360,360,180,240,240,
270,360,240,40,180,180,240,240,240,96,480,160,320,480,320,15,60,45,60,45,90,
90,360,90,60,45,90,60,90,120,120,90,135,270,60,80,360,240,360,120,360,360,360,
40,180,120,180,180,180,360,360,360,120,360,240,360,240,120,480,240,360,120,
480,240,720,480,90,120,90,60,120,90,60,90,180,120,240,90,180,90,60,360,240,
240,240,240,720,120,120,120,240,96,288,288,80,320,120,160,160,480,320,480,160,
320,160,160,6,5,10,15,45,15,180,45,45,180,135,30,270,180,10,180,60,45,60,45,
90,60,45,180,45,30,60,60,180,30,30,30,30,30,90,180,30,60,60,60,180,120,120,90,
180,90,30,90,60,60,120,240,60,60,60,120,30,60,60,120,90,60,180,120,90,60,120,
240,90,60,120,180,240,240,90,60,90,60,90,90,90,180,180,180,180,360,120,720,60,
180,60,240,720,90,180,90,180,90,60,60,180,60,90,30,120,90,60,120,60,180,120,
240,240,180,180,720,180,360,240,240,720,240,360,360,360,120,240,360,120,240,
120,120,120,240,240,240,240,96,288,288,192,192,120,120,240,80,160,320,120,240,
80,240,160,160,160,160,160,160,160,18,45,15,10,60,180,45,90,45,30,45,45,45,
180,180,360,45,60,60,180,30,30,90,90,30,60,180,60,60,30,60,90,90,90,60,60,60,
60,120,30,60,90,90,90,180,90,60,80,180,240,30,90,30,30,45,90,30,120,45,30,30,
60,90,30,60,180,90,180,120,45,60,180,60,60,180,180,60,120,60,90,30,90,90,90,
30,60,90,90,180,60,60,30,30,60,60,90,60,90,60,180,90,90,30,30,180,60,60,60,
120,60,60,60,60,120,60,120,60,120,60,120,180,180,180,180,180,120,180,120,60,
60,60,60,60,60,60,60,60,60,60,60,60,180,180,180,180,60,60,180,60,180,60,120,
120,120,120,120,120,120,120,120,240,96,96,96,10,20,80,120,40,60,40,120,240,
120,80,80,80,240,40,40,80,160,64,1,10,30,30,40,30,15,15,15,15,45,30,40,90,30,
90,90,90,30,30,90,45,45,15,15,30,15,30,30,30,30,30,60,30,45,45,45,30,45,90,30,
90,30,30,60,60,60,60,60,60,60,60,60,60,60,60,90,90,30,30,30,60,90,180,90,30,
90,90,90,90,180,60,60,30,30,30,180,180,60,60,180,180,180,180,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,30,20,40,30,
120,40,20,60,60,40,40,40,40,80,40,120,40,64,10,15,15,30,15,30,90,15,45,45,30,
15,15,15,15,30,15,30,30,30,30,60,30,30,90,30,30,30,30,30,30,30,30,60,60,60,60,
60,60,60,60,60,6,18,18,5,10,20,10,30,30,10,10,10,20,20,20,20,20,20,60,40,5,15,
15,15,15,15,15,30,30,30,30,6,18,18,12,12,10,15,10,10,10,10,10,10,10,20,20,15,
6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,18,108,72,45,36,168,64,192,6,36,72,216,
216,144,48,144,15,54,16,45,12,84,135,108,108,108,54,216,216,216,432,144,180,
504,432,270,108,216,432,432,84,108,108,48,108,144,504,144,144,144,192,192,64,
448,1152,576,576,384,9,12,45,126,45,54,18,108,72,90,72,108,144,216,216,90,108,
27,54,108,36,12,54,72,24,108,108,36,216,216,216,96,144,54,135,108,108,270,108,
432,168,360,144,432,360,432,432,72,216,216,96,144,216,216,216,432,432,84,108,
108,48,252,108,108,216,216,108,108,108,72,72,108,108,108,72,72,144,144,144,
144,288,288,288,216,72,144,432,288,216,216,504,216,432,144,216,1008,504,216,
216,288,432,432,432,288,144,144,432,288,288,54,252,54,108,72,54,54,126,216,54,
36,36,108,108,72,72,216,72,72,216,144,144,144,288,54,108,36,36,72,54,108,72,
144,504,432,432,432,432,288,24,24,216,72,216,144,256,96,48,240,16,96,128,144,
192,192,192,64,576,192,384,192,192,576,576,384,576,192,192,192,6,1,21,9,18,12,
24,72,216,216,3,18,45,54,15,18,180,216,27,12,36,27,54,108,108,108,108,432,135,
54,270,216,54,108,216,21,54,108,108,108,27,54,36,36,72,9,18,36,36,36,36,9,12,
12,18,36,27,54,36,108,216,12,36,36,27,54,126,108,108,72,216,6,6,36,54,24,18,
36,72,54,6,54,18,36,72,72,72,54,108,108,108,108,36,36,72,72,108,108,108,36,72,
72,72,72,54,72,108,72,72,54,54,54,54,54,36,72,108,108,108,36,36,108,216,72,72,
144,144,144,126,54,108,108,54,108,252,108,108,54,108,108,72,72,144,72,72,216,
54,54,126,108,108,252,54,36,108,72,18,36,72,36,36,36,72,72,72,144,144,144,18,
36,72,36,72,72,72,72,72,72,144,504,504,54,54,126,216,54,108,54,54,54,72,54,
108,36,36,54,108,108,108,108,72,72,108,216,36,36,108,72,216,108,72,216,144,72,
72,216,288,432,432,432,54,126,54,216,108,108,108,432,432,432,18,36,36,36,72,
54,36,108,36,72,54,108,108,108,108,18,36,72,72,72,72,144,144,144,18,72,54,252,
54,108,72,108,108,252,504,432,108,216,72,108,72,216,432,432,432,288,36,36,36,
72,72,72,144,108,36,36,72,216,72,72,216,144,144,144,288,504,432,432,432,432,
288,24,72,72,216,72,72,72,72,216,216,216,72,72,216,216,72,72,72,72,72,72,72,
72,72,72,216,432,72,216,432,72,72,72,144,144,144,144,256,256,256,16,112,144,
48,48,48,96,192,48,48,96,672,96,96,288,576,384,144,48,144,48,96,288,96,288,
288,96,96,288,64,64,192,192,96,96,192,192,192,192,192,192,576,192,192,192,18,
45,18,9,54,54,72,21,54,108,108,108,9,36,18,18,36,27,54,27,54,27,54,36,27,54,
108,216,108,108,108,216,216,216,27,54,36,36,72,9,12,12,12,36,36,36,36,36,126,
108,108,72,216,18,18,36,54,36,54,36,54,54,54,108,108,108,108,72,108,36,36,108,
108,108,6,36,18,18,18,18,36,54,54,54,54,54,54,54,54,108,54,108,108,36,36,216,
72,72,72,144,18,36,72,18,36,18,36,36,36,36,126,54,54,54,108,54,108,108,108,
252,54,54,126,54,72,54,54,108,54,36,168,36,36,36,36,72,72,144,72,72,72,144,
144,144,36,72,72,504,6,18,72,54,54,108,36,72,27,54,54,108,54,36,108,72,108,
108,108,9,18,36,18,36,18,18,18,72,72,72,9,18,63,54,126,108,54,36,54,54,54,108,
108,108,108,72,54,108,36,36,36,36,72,252,27,54,12,36,108,108,108,108,12,12,36,
108,108,36,36,216,72,36,36,36,72,72,36,108,216,108,36,36,36,72,72,18,36,54,54,
54,54,108,18,36,18,18,36,72,36,36,36,72,72,18,18,36,36,36,54,54,54,72,54,108,
18,36,18,36,36,72,36,36,36,36,36,36,54,54,54,54,54,54,108,108,108,108,108,108,
18,36,18,36,54,108,54,108,36,72,36,18,18,54,108,54,108,108,108,108,36,72,36,
72,72,24,72,72,36,108,36,108,36,36,108,36,36,36,36,72,216,36,108,36,108,36,36,
108,36,36,216,36,36,36,36,36,36,36,36,36,36,72,72,72,72,36,36,36,36,36,36,36,
36,36,36,36,72,72,108,216,108,216,36,72,36,36,72,72,36,72,72,36,72,36,72,72,
72,72,36,72,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,36,72,72,72,72,72,72,72,36,36,36,36,108,108,108,36,72,72,36,36,72,36,
72,108,108,108,108,108,108,108,108,108,72,72,72,72,72,72,36,72,36,72,108,108,
108,36,108,108,108,36,72,72,72,72,72,72,72,72,72,144,64,192,256,24,12,60,8,16,
16,96,96,48,48,144,48,48,144,24,48,96,48,48,48,96,96,144,144,48,288,96,48,144,
48,96,48,96,48,96,96,96,288,96,288,96,48,48,48,48,48,96,144,48,48,288,96,96,
96,96,96,96,192,192,1,3,2,6,18,54,3,18,9,18,36,72,9,54,63,84,18,18,18,3,3,18,
27,12,9,18,36,27,9,18,54,54,54,54,36,54,108,54,108,3,18,9,18,63,54,84,18,18,
18,36,72,54,54,54,54,54,54,36,54,18,6,54,6,54,54,108,18,9,18,9,27,54,27,54,9,
18,9,9,18,18,18,18,18,36,18,18,18,18,18,18,18,36,18,36,18,36,9,18,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,54,108,54,36,54,36,54,54,36,54,27,27,54,27,54,9,
18,27,54,27,54,9,18,18,18,18,18,18,36,54,54,54,54,108,18,36,12,36,36,36,36,36,
36,36,36,36,36,36,72,36,36,36,36,12,36,36,12,36,36,108,36,36,108,36,36,36,108,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
108,108,108,108,36,72,36,36,36,36,108,36,36,18,18,36,54,54,54,54,108,18,36,54,
54,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,108,18,36,18,54,108,54,108,
108,108,108,54,108,18,36,54,54,54,18,18,36,18,72,18,36,72,54,108,54,108,108,
108,108,72,72,72,18,18,18,108,108,108,108,108,108,36,36,108,108,108,108,108,
108,108,108,108,108,108,108,36,72,36,36,72,36,72,72,72,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,
36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,64,64,192,64,64,64,12,72,4,12,
84,112,72,48,36,36,12,12,16,16,144,48,48,48,48,48,72,72,24,24,24,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,144,48,96,288,48,48,48,48,48,48,96,96,3,9,18,9,
21,9,9,18,3,9,18,36,18,18,18,18,36,9,18,18,18,18,9,3,6,18,54,108,54,6,18,18,
18,18,18,27,54,9,9,18,9,18,27,54,27,27,9,18,9,18,18,18,18,18,18,54,27,9,18,9,
9,9,18,27,9,18,9,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,9,9,18,9,18,9,18,
27,54,18,18,18,18,18,18,18,18,54,54,18,18,18,18,36,18,18,18,18,54,36,18,18,18,
18,18,18,18,18,36,18,18,18,18,18,18,54,54,108,18,18,54,54,54,18,18,18,18,18,
18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,48,16,64,64,1,2,12,12,8,8,8,24,12,12,
12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,72,24,
72,24,24,24,24,24,24,24,24,24,48,48,48,48,3,1,9,3,9,9,9,9,18,9,9,27,27,9,18,9,
9,18,9,27,27,9,9,9,9,9,9,18,9,9,9,9,18,9,18,9,9,9,9,9,9,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,16,16,48,16,16,16,7,3,9,12,4,6,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,1,3,1,2,3,3,9,9,3,6,6,12,12,12,12,
9,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,18,108,168,45,36,72,64,
192,6,12,24,72,216,336,144,432,15,54,48,45,4,36,135,108,36,252,54,72,216,216,
432,432,180,216,144,270,36,216,432,144,36,108,252,48,108,144,216,336,144,144,
448,192,64,192,1152,576,384,576,9,36,45,54,45,54,42,108,24,90,24,36,48,216,72,
90,36,27,54,36,108,36,54,72,72,36,252,108,72,72,72,288,432,54,135,36,108,270,
36,144,72,360,48,144,360,432,144,72,72,216,288,48,216,72,216,144,144,36,108,
108,48,108,108,108,504,216,108,252,108,216,216,108,252,108,216,216,144,336,
144,144,864,288,288,216,216,144,432,288,72,216,216,216,144,144,72,432,216,216,
72,288,432,144,432,288,144,144,1008,288,288,54,108,54,36,72,54,126,54,216,54,
108,108,108,252,216,216,216,72,72,504,144,432,144,288,54,108,108,108,72,54,36,
216,144,216,144,144,432,432,288,72,72,216,216,72,144,256,96,240,96,96,192,32,
144,64,64,192,192,192,192,576,384,576,576,192,192,384,576,192,192,192,6,3,9,
21,6,36,8,24,72,72,9,54,45,54,15,6,180,72,27,36,12,27,18,36,36,108,36,144,135,
18,270,72,18,108,72,9,54,108,108,36,63,54,108,84,72,27,54,108,36,108,36,27,36,
12,54,36,27,54,108,108,72,36,108,108,27,18,54,36,108,72,72,18,18,108,54,72,54,
108,216,18,18,18,54,108,72,72,72,18,36,108,108,108,108,108,72,72,108,36,36,
108,72,72,72,216,54,72,108,72,72,54,18,126,18,54,36,72,108,36,36,36,36,252,
504,72,72,144,144,144,54,18,108,36,126,36,108,36,108,18,108,252,72,72,144,72,
72,504,18,18,54,108,36,108,54,36,108,72,54,36,72,108,36,36,72,72,216,144,144,
144,54,36,72,108,72,72,216,72,72,72,144,216,216,54,54,54,216,54,36,126,54,54,
216,54,108,108,108,54,108,108,108,108,216,216,108,72,108,108,252,216,216,108,
216,72,144,72,72,504,288,432,144,432,126,54,54,216,108,108,36,144,144,432,54,
108,108,108,72,54,108,108,108,72,54,36,36,108,36,54,108,216,216,72,72,144,144,
432,54,72,18,108,54,36,72,36,108,108,216,144,108,72,72,108,72,72,144,432,432,
288,108,108,108,216,216,216,144,252,108,108,216,216,72,72,504,432,144,144,288,
216,144,432,144,144,288,72,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,72,144,216,72,144,72,72,72,
144,144,144,144,256,256,256,48,48,64,48,288,336,448,288,96,192,192,192,192,
576,192,144,144,96,96,288,96,192,288,288,288,192,192,192,64,192,64,192,192,
192,192,192,192,576,192,192,192,18,45,6,9,18,18,24,9,54,36,36,108,27,108,54,
54,36,27,18,27,18,27,54,108,27,18,108,72,108,36,108,216,72,72,63,54,108,84,72,
27,12,36,36,108,108,108,36,36,54,36,108,72,72,18,18,36,54,36,54,36,18,126,18,
36,108,36,108,72,252,36,36,36,36,36,18,36,6,6,42,6,12,54,18,18,54,18,18,54,18,
108,18,36,252,36,36,504,72,72,72,144,54,36,72,54,36,54,36,36,108,36,54,18,18,
18,36,54,36,108,36,108,18,18,54,54,72,54,54,108,54,36,72,36,36,108,108,72,72,
144,216,72,72,144,144,144,108,72,72,216,18,54,72,18,18,108,108,72,63,18,18,36,
126,36,252,72,108,36,36,27,18,36,54,36,18,54,18,72,72,72,27,18,27,18,54,36,54,
36,18,18,54,36,36,36,108,72,54,108,108,36,36,36,72,108,27,18,36,108,36,36,36,
36,36,36,108,108,108,108,108,216,216,108,108,108,216,216,108,36,72,36,108,108,
108,216,216,54,36,18,18,54,18,36,54,36,54,54,108,216,108,108,108,216,216,54,
54,108,108,108,54,54,54,216,18,36,54,36,54,36,108,72,36,36,108,108,36,36,18,
54,18,18,54,18,36,36,36,36,36,108,54,36,54,36,54,36,54,36,108,72,108,54,54,18,
36,18,36,36,36,108,108,72,108,72,24,72,216,216,36,108,36,108,36,36,108,36,36,
36,108,72,216,36,108,36,108,36,36,108,36,36,72,36,108,36,36,108,36,108,36,36,
36,72,72,72,72,108,36,36,108,36,36,36,108,108,36,36,72,72,36,72,36,72,36,72,
108,108,72,72,108,72,72,108,72,108,72,216,72,72,108,72,108,36,36,36,36,36,36,
108,36,36,36,108,108,36,108,108,108,36,108,72,216,72,72,72,72,216,36,36,36,36,
36,36,36,108,72,72,108,108,72,108,72,36,36,108,36,108,36,108,36,108,216,72,72,
72,216,72,108,72,108,72,36,36,36,108,36,108,36,36,72,72,72,72,72,72,72,72,72,
144,192,64,256,24,12,24,60,8,24,32,48,32,48,96,96,144,32,48,144,144,96,288,96,
192,48,96,48,96,96,288,144,288,48,96,96,192,48,48,96,48,144,96,288,96,192,192,
1,1,6,18,6,18,3,18,9,18,36,72,21,126,27,36,18,18,18,9,9,54,27,36,27,54,108,9,
21,6,54,18,18,126,36,18,36,18,36,9,18,27,18,27,18,36,54,18,18,36,72,54,18,18,
18,54,54,36,54,6,18,18,18,18,18,36,54,27,18,27,9,18,27,18,27,18,27,27,18,18,
54,18,54,36,18,54,18,18,54,18,54,36,54,36,18,36,9,18,9,18,18,18,18,18,18,54,
18,18,54,54,18,18,18,36,54,36,54,36,54,54,36,18,27,9,18,27,18,27,18,27,18,27,
18,27,18,54,54,18,18,54,36,54,18,18,18,36,54,36,36,36,36,108,36,108,36,108,
108,36,36,36,72,108,36,36,36,36,108,108,36,36,36,108,36,36,108,36,36,36,108,
36,36,108,36,36,108,36,36,108,36,36,108,36,36,108,108,36,36,108,36,36,36,36,
36,108,36,36,36,36,36,72,108,36,36,36,108,36,36,54,54,36,18,18,54,18,36,54,36,
54,54,18,18,18,54,54,18,18,18,36,18,18,18,18,18,18,36,54,108,54,18,36,18,36,
36,36,36,18,36,54,36,18,18,54,54,54,36,54,72,54,108,72,18,108,18,36,108,36,36,
216,72,72,18,18,18,36,36,36,36,36,36,108,108,36,36,36,36,36,36,36,36,108,36,
36,108,108,72,108,108,72,108,216,72,72,36,36,36,36,36,36,36,36,36,36,36,36,
108,36,36,36,36,108,108,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,
36,36,36,36,36,36,36,36,36,72,72,72,64,64,192,64,64,64,28,168,4,24,12,24,36,
48,24,72,24,48,48,96,36,36,24,24,48,48,48,48,72,72,24,24,24,24,48,24,48,48,48,
48,48,96,144,288,96,48,48,96,48,48,3,9,18,21,9,9,3,6,9,27,54,36,18,18,54,54,
36,9,18,18,18,54,9,9,18,54,18,36,18,18,54,18,18,18,18,9,18,27,27,18,27,18,27,
18,27,27,9,18,9,18,18,54,18,18,18,18,27,9,18,27,9,9,18,9,9,18,9,18,18,18,18,
27,27,18,18,18,54,54,54,18,18,18,9,27,18,27,18,27,18,9,54,18,18,18,18,18,18,
18,54,18,18,54,18,18,54,36,18,18,18,54,54,36,18,18,18,54,18,18,18,54,36,18,18,
18,18,18,18,54,54,36,18,18,18,18,18,54,18,18,18,18,18,18,18,18,18,18,18,18,36,
18,18,18,18,18,54,36,36,36,36,36,36,36,36,36,36,36,36,108,36,36,36,36,36,36,
36,36,108,36,36,48,32,64,64,1,1,4,12,8,24,24,36,12,24,36,36,24,24,12,36,12,24,
12,12,12,36,24,12,24,24,24,24,24,24,24,24,72,72,24,24,24,24,24,48,48,1,3,3,3,
3,9,9,27,18,9,9,9,9,9,18,27,9,18,9,9,27,9,9,9,9,9,9,18,27,27,27,9,18,9,18,9,9,
9,9,9,9,18,18,18,54,18,18,18,54,18,18,18,18,18,18,18,18,16,16,48,32,1,3,6,3,7,
9,3,6,4,4,12,12,12,12,12,12,12,12,36,24,12,36,12,24,24,24,24,9,9,3,3,9,9,9,9,
9,9,9,9,9,9,9,4,4,16,1,1,3,3,2,3,3,3,3,9,3,9,3,6,3,6,3,12,12,9,4,4,4,4,4,4,1,
1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,18,180,45,60,64,480,6,360,
240,15,90,80,45,135,180,90,360,360,180,270,360,180,180,96,480,160,1440,960,15,
60,45,45,90,90,360,90,45,90,60,90,120,120,90,135,270,360,360,120,360,360,360,
180,180,180,180,360,360,360,360,360,360,720,90,90,90,90,180,90,180,90,360,720,
120,120,640,96,288,288,96,240,240,80,240,640,360,480,320,480,480,384,6,5,15,
45,15,180,45,45,180,135,270,180,180,45,45,90,45,180,45,180,30,30,30,90,180,
180,90,180,90,90,90,180,90,90,180,90,90,90,90,90,180,180,180,180,360,720,180,
720,90,180,90,180,90,180,90,90,180,180,180,720,180,360,720,360,360,360,360,
640,96,288,288,120,120,240,240,240,360,240,480,480,720,480,720,160,480,480,
384,18,45,15,180,45,90,45,45,45,45,180,180,360,45,180,30,30,90,90,180,30,90,
90,90,90,90,90,180,90,180,30,90,45,90,45,90,180,90,180,45,60,180,60,60,180,
180,90,90,90,90,90,90,180,90,90,180,90,90,180,180,180,180,180,180,180,180,180,
180,180,180,180,320,480,96,24,30,60,40,80,80,240,240,360,120,120,240,120,240,
480,480,64,96,1,10,30,15,15,15,45,90,90,90,90,30,30,90,45,45,45,45,45,45,90,
90,90,90,90,180,90,90,90,90,90,180,180,180,180,180,180,180,160,6,10,30,90,60,
60,60,120,120,120,120,120,240,96,15,30,90,45,45,90,120,80,6,18,18,64,1,10,30,
40,40,40,120,60,30,30,60,60,120,120,24,5,40,6,18,18,15,10,30,24,10,40,6,5,5,
10,1,6,10,3,6,5,4,1,1],[1,18,180,45,60,64,480,6,60,120,360,360,15,90,45,20,
135,180,180,90,360,360,360,180,270,180,360,180,180,96,160,480,1440,960,15,45,
45,90,120,90,120,180,360,360,90,45,90,180,90,120,180,360,360,360,90,135,180,
270,360,360,120,360,360,240,360,360,360,720,720,180,180,180,180,360,360,360,
360,720,90,90,90,90,90,90,720,640,96,288,288,96,240,240,480,960,160,360,320,
320,480,480,480,384,6,30,40,120,360,360,45,15,30,180,45,60,45,90,180,180,180,
180,720,135,270,90,180,360,180,45,180,45,180,90,180,90,90,90,180,90,180,90,90,
90,180,90,90,90,90,90,180,180,180,720,180,720,90,90,180,90,180,180,180,720,
720,640,96,288,288,120,120,240,240,360,480,720,480,480,480,720,960,160,384,18,
45,15,90,90,120,180,45,45,45,45,180,180,360,180,30,30,90,90,180,180,180,30,30,
90,90,90,90,90,90,90,90,90,180,90,90,180,90,90,180,180,90,180,45,120,480,320,
96,24,30,120,60,40,120,160,160,480,240,360,160,240,120,120,240,240,16,48,96,1,
5,90,90,90,90,90,90,90,90,30,45,45,45,160,6,10,30,60,90,120,120,120,120,120,
120,120,48,48,96,96,15,15,45,120,160,6,18,18,64,1,5,20,30,40,30,30,120,16,48,
24,5,40,6,18,18,15,15,10,24,10,20,6,16,5,5,10,6,10,6,5,1,1],[1,18,108,144,45,
36,144,64,96,96,6,216,288,432,15,54,45,72,135,108,216,54,216,216,432,180,432,
432,270,216,432,72,108,216,144,108,432,288,432,384,288,96,384,576,96,288,576,
288,576,288,576,576,9,45,108,45,54,36,90,216,90,108,27,54,108,54,72,216,108,
432,54,135,270,108,144,360,432,360,72,216,216,216,72,108,216,108,432,108,216,
216,216,108,216,216,288,864,216,216,216,432,216,432,216,864,432,216,216,432,
432,864,864,864,54,216,54,108,54,108,108,54,108,216,216,216,216,432,432,432,
54,108,216,54,108,432,432,432,432,216,216,128,128,96,240,48,48,72,72,288,96,
96,288,288,288,576,288,576,288,576,288,576,576,288,576,288,288,288,288,576,6,
18,18,54,45,15,180,27,27,108,135,54,270,108,18,108,108,54,72,54,108,108,36,27,
108,108,27,54,108,108,108,54,54,54,216,54,108,108,108,108,108,216,216,54,216,
108,54,108,54,54,108,108,108,216,432,216,108,108,108,108,216,216,216,432,54,
108,108,216,54,108,108,108,108,216,216,216,216,216,432,432,54,108,54,108,108,
54,54,108,54,108,216,108,108,216,108,216,432,432,108,108,108,108,432,432,108,
54,54,108,108,108,108,54,216,216,432,54,216,54,108,108,108,216,432,432,108,
108,216,432,108,108,216,216,216,432,432,432,432,432,432,216,216,216,216,216,
216,216,432,216,432,128,128,384,384,384,384,96,72,72,144,288,72,384,72,576,
144,144,144,288,288,144,72,144,144,72,288,144,288,144,144,144,96,96,288,288,
288,288,288,576,288,288,288,288,288,288,288,64,18,45,9,18,108,108,54,27,54,27,
27,27,108,108,216,54,72,108,108,108,108,108,18,18,54,54,108,108,54,108,108,
216,108,108,36,216,432,108,108,108,108,108,108,216,54,108,54,54,54,108,54,144,
108,108,216,432,54,54,108,54,108,216,54,54,54,54,108,54,54,108,108,54,108,108,
108,216,27,108,108,108,216,108,108,108,54,54,54,108,54,108,108,108,108,108,
108,108,54,54,108,108,108,54,54,108,108,108,108,108,108,216,108,108,108,216,
216,216,108,108,108,108,108,108,108,108,216,108,216,108,216,216,216,216,108,
108,108,108,108,108,108,108,216,216,108,108,108,108,216,216,108,108,96,96,384,
384,24,6,6,60,72,48,72,48,72,72,144,72,144,144,72,72,144,144,288,72,144,72,
144,72,144,144,288,144,144,144,72,144,72,72,72,144,144,288,288,64,128,128,1,9,
27,18,108,54,72,27,27,18,108,54,72,54,54,54,54,54,54,27,27,27,27,54,54,54,54,
54,54,54,54,54,54,54,54,108,54,27,27,54,54,54,54,54,54,108,108,216,108,108,
108,108,108,108,108,108,108,216,108,54,54,54,54,54,54,108,54,54,108,108,216,
108,108,216,108,108,216,108,108,216,96,96,96,96,96,96,24,144,6,6,18,18,72,96,
36,36,18,36,18,72,72,72,72,72,72,36,36,72,72,72,72,72,72,72,144,72,144,72,72,
144,64,64,64,18,18,9,54,54,27,27,54,54,27,27,27,27,54,54,54,54,54,54,54,54,54,
54,108,54,54,108,24,24,96,96,1,6,6,18,18,36,18,18,18,18,36,18,18,18,18,36,18,
18,36,36,72,72,36,36,72,72,64,9,27,27,27,27,27,27,24,24,24,24,24,24,6,6,9,6,6,
36,18,18,18,18,18,18,18,18,18,18,18,18,27,2,2,24,24,9,9,9,18,18,2,2,6,6,6,6,9,
1,6,6,1,2,2,1,1,1,1],[1,18,180,240,45,60,64,480,6,60,120,360,360,480,720,15,
90,45,20,135,180,180,360,90,360,360,360,720,180,270,180,360,180,360,180,720,
480,720,96,640,160,480,2880,1440,960,960,15,45,45,90,60,120,90,120,180,360,
360,90,45,90,180,180,90,120,180,360,180,360,360,360,720,90,135,180,270,360,
360,120,360,360,240,360,360,360,720,720,180,180,720,180,360,360,360,180,360,
360,480,720,1440,1440,360,720,1440,360,360,720,360,720,720,1440,90,90,360,90,
180,90,180,360,360,360,360,720,720,720,90,180,90,720,720,360,720,640,96,288,
288,96,240,240,480,960,160,360,320,320,480,480,480,1440,960,960,480,960,1440,
960,480,384,6,30,30,40,120,360,360,90,45,15,30,180,45,60,45,90,180,180,180,
180,720,135,270,90,180,360,180,90,120,90,180,180,180,45,180,180,45,180,90,180,
180,360,90,180,360,90,90,180,90,180,180,360,720,720,720,90,180,180,90,360,720,
360,720,90,90,180,180,180,180,360,720,720,180,360,360,360,720,90,90,180,90,90,
180,90,180,360,180,180,360,180,720,720,720,180,180,720,180,90,90,180,90,360,
360,360,720,720,360,90,180,180,360,180,720,180,180,360,720,360,360,360,720,
720,720,720,360,360,360,360,360,360,360,360,360,640,640,640,96,288,288,576,
576,120,120,720,480,640,240,960,960,960,1440,960,240,360,480,240,720,480,480,
480,720,960,160,480,480,480,960,1440,480,480,384,18,45,15,90,90,120,180,90,
180,45,45,45,45,180,180,360,90,120,180,180,180,180,30,30,90,180,90,180,180,
180,360,180,30,60,30,90,90,90,90,360,180,720,720,180,180,90,90,90,90,90,180,
90,180,180,180,720,360,360,720,720,360,180,90,90,180,360,180,180,90,90,360,
360,90,90,90,180,180,90,180,180,180,360,45,180,180,180,180,90,90,180,180,180,
180,180,120,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
360,180,360,360,180,180,180,180,360,360,180,180,360,480,320,640,96,288,288,24,
30,120,60,40,120,160,160,120,480,240,360,160,240,240,360,240,720,480,120,480,
120,240,240,480,240,120,480,240,360,480,720,480,480,16,48,96,384,1,5,90,360,
30,180,90,90,45,30,90,180,90,90,90,90,90,360,90,90,90,90,90,30,45,45,45,90,90,
90,90,45,45,90,90,45,45,45,90,90,180,180,180,180,180,180,180,180,90,90,90,90,
90,90,360,90,90,90,360,180,180,180,180,180,180,180,180,360,360,160,480,320,
160,6,288,40,240,10,30,120,120,180,240,480,60,90,120,120,120,120,120,120,60,
120,120,120,120,120,480,360,720,480,240,480,120,48,48,96,96,96,96,90,30,15,15,
45,90,90,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,180,120,160,160,6,18,
18,64,1,5,20,30,40,30,60,90,120,30,30,30,90,120,60,60,60,120,120,120,120,120,
120,120,120,16,48,24,48,48,48,48,96,5,45,45,45,45,45,45,40,40,120,160,6,18,18,
36,36,64,30,10,15,15,10,30,30,30,30,90,120,60,30,120,24,48,48,45,10,20,40,6,
18,18,16,5,5,10,15,15,15,15,30,6,24,10,20,10,10,18,16,15,15,30,6,5,10,1,6,5,3,
1,1],[1,18,180,45,60,240,64,480,6,360,240,15,90,80,45,120,135,180,90,360,360,
180,720,720,270,360,720,120,180,180,720,720,720,96,480,160,640,2880,1440,960,
960,15,60,45,180,45,90,90,360,90,180,45,90,60,90,120,120,90,135,270,180,240,
360,720,360,120,360,360,360,120,180,360,180,180,180,360,360,360,360,360,720,
360,720,360,1440,720,360,360,1440,720,720,1440,90,360,90,180,360,90,180,90,
180,360,720,90,180,90,180,360,720,720,720,720,720,120,120,360,720,640,96,288,
288,96,240,240,80,240,640,360,480,480,320,480,960,480,1440,960,960,1440,960,
480,384,6,5,30,15,45,15,180,45,45,180,135,90,270,180,30,180,180,45,180,45,90,
180,45,180,45,90,180,180,180,30,30,90,30,90,90,180,90,180,180,180,180,360,360,
90,180,90,90,90,180,180,360,720,180,180,180,360,90,180,180,360,90,180,180,360,
90,180,360,720,90,180,360,180,720,720,90,180,90,180,90,90,90,180,180,180,180,
360,360,720,180,180,180,720,720,90,180,90,180,90,180,180,180,180,90,90,360,90,
180,360,180,180,360,720,720,180,180,720,180,360,720,720,720,720,360,360,360,
360,720,360,360,720,360,360,360,720,720,720,720,640,640,640,96,288,288,576,
576,160,120,120,480,960,480,240,720,1440,1920,240,240,360,240,480,480,720,480,
240,720,160,480,480,480,480,480,480,1440,960,480,384,18,45,15,30,180,180,45,
90,45,90,45,45,45,180,180,360,45,180,180,180,30,30,90,90,90,180,180,180,180,
30,180,90,90,90,180,180,180,180,360,90,180,90,90,90,180,90,180,240,180,720,30,
90,90,90,45,90,90,360,45,90,90,180,90,90,180,180,90,180,360,45,60,180,60,60,
180,180,180,360,180,90,90,90,90,90,90,180,90,90,180,180,180,90,90,180,180,90,
180,90,180,180,90,90,90,90,180,180,180,180,360,180,180,180,180,360,180,360,
180,360,180,360,180,180,180,180,180,360,180,360,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,
360,360,360,360,360,360,720,320,480,640,96,288,288,24,30,60,40,80,80,240,240,
360,120,120,240,360,240,240,120,240,120,240,240,480,720,240,120,240,480,360,
240,240,720,480,480,480,480,480,64,96,384,1,10,30,90,120,90,15,15,45,15,45,90,
120,90,90,90,90,90,30,30,90,45,45,45,45,90,45,90,90,90,90,90,180,90,45,45,45,
90,45,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,90,90,90,
90,90,180,90,180,90,90,90,90,90,90,180,180,180,90,90,90,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,160,480,320,160,6,288,10,30,120,160,180,240,
90,60,60,60,120,120,120,120,60,120,120,120,120,120,240,240,240,360,720,120,
240,240,480,96,192,30,15,45,90,45,30,90,45,45,45,90,45,45,45,45,90,45,90,90,
90,90,180,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,
180,120,80,160,6,18,18,64,1,10,30,40,40,40,120,60,30,30,30,90,60,30,60,60,60,
90,60,60,60,60,120,60,60,120,120,120,120,120,120,120,120,24,96,5,45,45,45,45,
45,45,90,90,90,90,40,40,120,80,6,18,18,36,36,64,10,15,10,30,30,60,30,30,30,60,
90,30,60,60,120,120,120,120,120,24,45,10,40,40,6,18,18,5,5,10,15,15,30,30,30,
1,6,24,10,10,10,40,18,15,15,30,3,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,18,540,45,
180,64,960,960,6,180,360,1080,1080,720,15,270,240,45,60,135,540,540,270,1080,
1080,1080,180,270,540,1080,540,720,540,2160,576,2880,960,960,2880,2880,2880,
2880,45,180,45,45,270,360,90,360,540,1080,1080,90,135,270,540,180,270,360,360,
540,1080,1080,1080,270,135,540,270,360,360,360,1080,1080,720,1080,1080,1080,
2160,2160,540,720,540,540,540,1080,2160,2160,4320,1080,1080,1080,1080,1080,
2160,2160,270,270,270,270,540,1080,2160,270,540,1080,270,1080,2160,360,360,
1280,1280,576,1728,1728,96,720,240,240,480,1440,2880,480,1920,480,720,960,720,
960,960,960,960,2880,2880,2880,2880,2880,2304,6,15,90,120,360,1080,1080,45,45,
15,90,180,135,180,135,270,540,540,540,540,2160,135,270,270,540,1080,540,135,
540,135,180,270,135,540,135,540,90,90,90,270,540,540,270,540,270,270,270,540,
1080,540,540,2160,270,540,270,1080,1080,270,270,540,270,540,1080,540,2160,270,
540,1080,1080,270,270,270,270,270,540,540,540,540,1080,2160,540,2160,270,540,
1080,270,540,1080,270,540,1080,2160,270,270,540,540,540,2160,540,1080,1080,
2160,2160,1080,1080,1080,1080,3840,3840,576,1728,1728,240,720,960,720,720,720,
720,1440,720,720,1440,1440,2880,720,720,720,1440,1440,1440,720,720,1440,1440,
1440,1440,1440,1440,2880,960,960,1440,1440,2880,640,2304,18,45,45,270,270,360,
540,135,270,135,135,135,135,540,540,1080,135,180,540,540,90,90,540,270,270,
540,540,540,90,90,90,270,270,270,270,540,1080,270,540,1080,270,270,270,270,
270,270,270,540,270,540,1080,1080,2160,540,90,270,270,540,135,270,540,270,270,
1080,135,270,270,540,540,270,540,540,540,135,180,540,180,180,540,540,270,270,
270,270,270,270,540,270,270,540,270,270,540,360,540,540,540,1080,540,540,1080,
540,540,540,1080,1080,540,540,540,540,540,540,540,540,540,540,540,540,960,960,
960,960,576,24,60,360,60,60,120,120,360,480,240,240,480,1440,480,720,480,480,
720,720,720,360,720,720,720,1440,720,1440,720,720,1440,720,720,1440,1440,1440,
720,1440,1440,640,96,288,384,576,1,15,30,90,45,270,135,540,270,45,45,270,270,
270,45,270,135,270,540,270,270,270,270,270,90,90,90,270,135,135,270,270,270,
270,540,270,270,135,135,135,135,135,270,270,540,540,540,540,540,540,540,540,
270,270,270,540,270,270,540,270,270,270,270,270,540,540,540,540,540,540,540,
960,960,960,960,36,60,60,360,180,180,360,720,180,180,180,360,180,180,240,720,
720,720,360,360,360,360,360,360,360,720,720,640,288,288,576,576,45,135,45,45,
90,270,135,135,135,135,270,135,135,135,270,270,270,270,270,540,270,270,240,
240,240,480,36,108,108,384,384,1,15,30,60,60,60,120,120,120,120,360,180,180,
180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,96,288,144,15,15,
45,135,135,135,135,240,240,240,36,108,108,15,45,45,45,60,60,90,180,180,180,
144,45,20,20,60,120,36,96,15,15,15,15,30,30,45,45,45,6,36,64,60,60,60,15,15,
45,10,18,36,15,15,24,10,6,6,15,15,10,6,6,1],[1,18,540,360,45,180,360,64,960,
960,6,180,360,1080,1080,720,720,2160,15,270,240,45,60,180,135,540,540,540,270,
1080,1080,1080,2160,2160,180,1080,2160,270,540,1080,2160,2160,180,540,540,720,
540,2160,1080,720,2160,2160,576,960,2880,960,960,5760,960,2880,5760,2880,5760,
2880,2880,5760,45,180,45,270,45,270,90,540,360,90,360,540,720,1080,1080,90,
540,135,270,540,540,180,270,360,360,540,540,540,1080,1080,1080,1440,2160,270,
135,540,540,270,540,2160,360,360,720,2160,360,2160,2160,360,1080,1080,1440,
720,1080,1080,1080,2160,2160,180,540,540,720,540,540,540,1080,1080,540,540,
540,1080,1080,540,540,540,1080,1080,2160,720,2160,2160,4320,4320,4320,1080,
1080,2160,2160,4320,1080,1080,1080,1080,2160,2160,1080,2160,1080,1080,1080,
4320,2160,2160,2160,4320,2160,2160,2160,4320,4320,270,540,270,540,1080,270,
270,270,1080,270,540,540,540,540,1080,1080,1080,1080,1080,1080,2160,2160,2160,
4320,270,540,540,540,1080,270,540,1080,2160,1080,2160,2160,2160,2160,4320,360,
360,1080,1080,1080,2160,1280,1280,576,1728,1728,96,720,240,240,480,1440,2880,
480,1920,480,720,960,720,960,2880,960,960,960,2880,2880,2880,5760,2880,2880,
5760,2880,2880,2880,2880,5760,2880,5760,2880,2880,2880,2880,2880,2880,2304,6,
15,45,45,90,180,120,360,1080,1080,45,270,45,270,15,90,180,1080,135,180,180,
135,270,540,540,540,540,2160,135,270,270,1080,270,540,1080,45,270,540,540,540,
135,270,540,180,1080,135,270,540,540,540,540,135,180,180,270,540,135,270,540,
540,1080,180,540,540,135,270,270,540,540,1080,1080,90,90,540,270,360,270,540,
1080,270,90,270,270,540,1080,1080,1080,270,540,540,540,540,540,540,1080,1080,
540,540,540,540,1080,1080,1080,1080,270,1080,540,1080,1080,270,270,270,270,
270,540,1080,540,540,540,540,540,540,1080,1080,1080,2160,2160,2160,270,270,
540,540,270,540,540,540,540,270,540,540,1080,1080,2160,1080,1080,1080,270,270,
270,540,540,540,270,540,540,1080,270,540,1080,540,540,540,1080,1080,1080,2160,
2160,2160,270,540,1080,540,1080,1080,1080,1080,1080,1080,2160,1080,1080,270,
270,270,1080,270,540,270,270,270,1080,270,540,540,540,270,540,540,540,540,
1080,1080,540,1080,540,540,540,1080,1080,540,1080,1080,2160,1080,1080,1080,
4320,2160,2160,2160,270,270,270,1080,540,540,540,2160,2160,2160,270,540,540,
540,1080,270,540,540,540,1080,270,540,540,540,540,270,540,1080,1080,1080,1080,
2160,2160,2160,270,1080,270,540,270,540,1080,540,540,540,1080,2160,540,1080,
1080,540,1080,1080,2160,2160,2160,4320,540,540,540,1080,1080,1080,2160,540,
540,540,1080,1080,1080,1080,1080,2160,2160,2160,4320,1080,2160,2160,2160,2160,
4320,360,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,
1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,2160,1080,1080,
2160,1080,1080,1080,2160,2160,2160,2160,1280,1280,3840,3840,3840,3840,576,
1728,1728,3456,3456,240,240,720,960,720,1440,720,720,720,720,1440,960,720,720,
1440,1440,1440,1440,1440,1440,2880,2880,2880,5760,2880,2880,2880,2880,720,720,
720,1440,1440,1440,1440,2880,720,720,1440,1440,1440,1440,1440,1440,1440,2880,
1440,1440,2880,960,960,960,2880,960,2880,1440,1440,2880,2880,2880,2880,2880,
2880,2880,2880,2880,2880,2880,2880,2880,2880,2880,640,2304,18,45,90,45,270,
270,360,45,270,540,540,540,135,540,270,270,540,135,270,135,270,135,270,540,
135,270,540,1080,540,540,540,1080,1080,1080,135,270,540,180,1080,135,180,180,
180,540,540,540,540,540,270,540,540,1080,1080,90,90,540,270,540,270,540,270,
270,270,540,540,540,540,1080,540,540,540,540,540,540,90,540,90,90,90,90,180,
270,270,270,270,270,270,270,270,540,270,540,540,540,540,1080,1080,1080,1080,
2160,270,540,1080,270,540,270,540,540,540,540,270,270,270,270,540,270,540,540,
540,540,270,270,270,270,1080,270,270,540,270,540,360,540,540,540,540,1080,
1080,2160,1080,1080,1080,2160,2160,2160,540,1080,1080,1080,90,270,1080,270,
270,540,540,1080,135,270,270,540,270,540,540,1080,540,540,540,135,270,540,270,
540,270,270,270,1080,1080,1080,135,270,135,270,270,540,270,540,270,270,270,
540,540,540,540,1080,270,540,540,540,540,540,1080,540,135,270,180,540,540,540,
540,540,180,180,540,540,540,540,540,1080,1080,540,540,540,1080,1080,540,540,
1080,540,540,540,540,1080,1080,270,540,270,270,270,270,540,270,540,270,270,
540,1080,540,540,540,1080,1080,270,270,540,540,540,270,270,270,1080,270,540,
270,540,270,540,540,1080,540,540,540,540,540,540,270,270,270,270,270,270,540,
540,540,540,540,540,270,540,270,540,270,540,270,540,540,1080,540,270,270,270,
540,270,540,540,540,540,540,1080,540,1080,360,360,1080,1080,540,540,540,540,
540,540,540,540,540,540,540,1080,1080,540,540,540,540,540,540,540,540,540,
1080,540,540,540,540,540,540,540,540,540,540,1080,1080,1080,1080,540,540,540,
540,540,540,540,540,540,540,540,1080,1080,540,1080,540,1080,540,1080,540,540,
1080,1080,540,1080,1080,540,1080,540,1080,1080,1080,1080,540,1080,540,540,540,
540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,1080,1080,
1080,1080,1080,1080,1080,540,540,540,540,540,540,540,540,1080,1080,540,540,
1080,540,1080,540,540,540,540,540,540,540,540,540,1080,1080,1080,1080,1080,
1080,540,1080,540,1080,540,540,540,540,540,540,540,540,1080,1080,1080,1080,
1080,1080,1080,1080,1080,2160,960,960,960,960,3840,3840,576,1728,1728,24,60,
360,60,60,120,120,360,480,240,240,480,720,1440,480,720,480,480,720,720,720,
720,720,720,360,720,1440,720,720,720,1440,1440,1440,2880,720,1440,720,1440,
1440,720,1440,1440,720,720,720,1440,1440,720,720,720,1440,720,1440,720,1440,
1440,1440,1440,1440,1440,1440,2880,1440,720,720,720,720,720,720,1440,720,720,
720,720,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,2880,2880,2880,640,
1280,1280,96,288,384,576,2304,1,15,30,90,90,270,45,270,135,270,540,1080,45,
270,135,180,270,270,270,45,45,270,135,180,135,270,540,135,45,90,270,270,270,
270,540,270,540,270,540,45,270,135,270,135,270,180,270,270,270,540,1080,270,
270,270,270,270,270,540,270,90,90,270,90,270,270,540,270,135,270,135,135,270,
135,270,135,270,135,135,270,270,270,270,270,540,270,270,270,270,270,270,270,
540,270,540,270,540,135,270,135,270,270,270,270,270,270,270,270,270,270,270,
270,270,270,540,270,540,270,540,270,270,540,270,135,135,270,135,270,135,270,
135,270,135,270,135,270,270,270,270,270,270,540,270,270,270,270,540,270,540,
180,540,540,540,540,540,540,540,540,540,540,540,1080,540,540,540,540,180,540,
540,180,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,1080,540,540,540,540,540,540,540,270,270,540,270,270,270,270,
540,270,540,270,270,270,270,270,270,270,270,270,270,540,270,270,270,270,270,
270,540,270,540,270,270,540,270,540,540,540,540,270,540,270,540,270,270,270,
270,270,540,270,1080,270,540,1080,270,540,270,540,540,540,540,1080,1080,1080,
270,270,270,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,540,1080,540,540,1080,540,1080,1080,1080,540,540,540,540,540,
540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,540,540,540,540,1080,540,540,540,540,540,540,540,540,540,540,
540,540,540,1080,1080,1080,960,960,960,960,960,960,960,960,960,960,960,960,36,
1728,60,360,60,60,360,180,360,180,180,240,360,360,360,720,720,1440,360,720,
180,180,180,360,360,180,180,240,240,720,720,720,720,720,720,720,720,360,360,
360,360,360,360,720,360,360,360,360,720,720,720,720,720,720,720,720,720,720,
720,720,1440,720,1440,1440,720,720,720,720,720,720,720,1440,1440,720,720,720,
720,720,720,720,1440,1440,640,640,640,288,288,576,576,576,576,1152,45,135,270,
45,45,45,45,90,45,135,270,540,270,270,270,270,540,135,270,270,270,270,135,45,
90,270,270,540,270,90,270,270,270,270,270,135,270,135,135,270,135,270,135,270,
135,135,135,270,135,270,270,270,270,270,270,270,135,135,270,135,135,135,270,
135,135,270,135,270,270,270,270,135,135,270,270,270,270,270,270,270,270,270,
135,135,270,135,270,135,270,135,270,270,270,270,270,270,270,270,270,270,270,
270,270,270,270,540,270,270,270,270,270,540,270,270,270,270,270,270,270,270,
540,270,270,270,270,270,270,270,270,540,270,270,270,270,270,270,270,270,270,
270,270,270,270,270,270,270,270,270,540,270,270,270,270,270,270,540,540,540,
540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,240,240,240,480,960,960,960,960,36,108,108,384,384,1,15,30,60,60,60,
120,120,120,360,120,360,180,180,180,360,180,180,180,180,180,360,360,180,180,
180,360,180,180,180,180,180,180,180,180,180,180,180,180,180,360,180,180,180,
180,180,180,180,180,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,720,720,720,720,720,640,96,288,144,288,
288,288,288,576,15,15,45,45,45,135,135,135,270,135,135,135,135,135,270,135,
135,270,135,135,135,135,135,135,135,135,135,270,135,135,135,135,270,135,270,
135,135,135,135,135,135,270,270,270,270,270,270,270,270,270,270,270,270,270,
270,270,270,240,240,240,240,240,480,240,240,240,240,36,108,108,216,216,384,
384,15,45,90,15,15,45,45,90,60,60,60,90,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,360,180,180,180,180,360,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,360,360,360,360,360,360,360,360,144,288,288,45,
135,45,45,135,135,135,135,135,135,135,135,135,135,135,20,20,60,120,240,240,
240,36,108,108,96,15,15,15,15,45,30,30,45,45,45,45,45,45,45,45,90,45,90,45,90,
90,180,180,180,180,180,6,36,144,135,64,20,60,20,60,60,60,60,60,60,120,108,96,
15,15,15,45,15,45,45,45,45,45,45,45,45,45,45,45,45,90,90,10,18,36,36,64,15,15,
60,60,60,24,45,45,45,10,20,20,6,6,18,18,36,15,15,15,15,15,15,24,10,10,10,18,
18,15,15,6,6,10,6,6,1,1]],
[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,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,10,10,10,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,20,20,20,20,20,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,30,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,40,40,40,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,54,54,54,60,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,80,80,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
108,108,108,120,120,120,120,120,120,120,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,144,
144,144,144,144,144,144,144,160,160,160,180,180,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,216,240,240,240,240,240,
240,240,240,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,288,288,288,288,288,288,288,288,288,288,320,320,320,320,320,360,
360,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,480,
480,480,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,576,576,
576,576,576,576,576,640,640,640,720,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,960,960,960,
1024,1080,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1280,1440,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,1536,1728,1920,1920,1920,2160,2304,2304,2304,2304,2304,2880,3072,
3072,3072,3456,3456,3456,3840,3840,3840,3840,3840,4608,4608,4608,4608,4608,
4608,5760,6912,6912,6912,7680,7680,9216,9216,11520,11520,13824,23040,23040,
69120,138240],
[2261,2251,2016,2104,2232,2178,2108,2223,1906,1905,2258,2174,2099,1722,1723,
1988,1989,1534,2253,2132,2152,2231,2228,2182,2186,2017,2013,2007,2132,1723,
1723,1728,1290,1525,2179,1757,1313,2140,2016,1728,1313,1290,2182,2006,2007,
1986,2037,1525,1757,1988,1535,1534,1998,1904,1246,1906,1907,668,1905,1247,666,
1247,666,1246,1245,668,2230,2182,2232,2132,2231,2137,2203,2007,2099,2217,2099,
2016,1934,1723,1722,2218,2033,2186,2132,2013,2007,2182,2138,2100,2106,2016,
2006,2007,1723,1723,1722,1661,1306,2132,2186,2013,2007,2139,2031,1290,2105,
2082,1939,1382,2083,1382,1313,2081,1728,1727,1659,1919,1727,1728,1728,1257,
1257,2182,2006,2007,1986,2007,2007,2006,1744,1744,2006,2007,2007,1744,1744,
2006,2007,2007,1744,1744,1522,1988,1534,1535,733,735,734,1758,1851,1525,1382,
704,1757,1756,1757,1758,1382,1525,1852,1283,1757,1756,1757,739,1382,1382,1381,
739,1535,1534,1533,726,726,2137,2001,2136,2033,1760,2132,2132,2132,1744,2143,
2007,2007,2007,2006,1744,1744,1744,1762,1762,1761,1306,1306,1305,726,2131,
2007,2007,2007,1760,2135,2031,1827,1306,1821,1283,1382,1381,1382,739,2119,
2118,1744,1744,1852,1589,1712,1711,1998,1630,1630,2199,1989,2152,2152,2060,
1692,1194,2062,1623,2061,1988,1904,1987,1904,1246,1906,1907,1905,1247,1247,
1247,666,1245,1246,668,1246,1245,1246,1245,668,1247,666,1247,1246,1245,1247,
1246,1245,1255,2259,2253,2232,2231,2212,2182,2189,2099,1723,1722,2232,2132,
2232,2132,2254,2203,2180,1762,2186,2182,2178,2186,2132,2013,2016,2015,2016,
1257,2186,2132,2136,1760,2137,2001,1723,2232,2132,2001,2001,2001,2186,2132,
2007,2180,1762,2186,2132,2007,2016,2015,2016,2186,2182,2178,2133,2013,2186,
2132,2007,2039,1762,2182,2006,2007,2186,2132,2134,2001,2000,1760,1760,2215,
2216,2007,2132,2118,2143,2007,1744,2137,2218,2137,2136,2000,1760,1760,1760,
2137,2001,2001,2001,2001,2036,2039,1762,1762,2001,2001,2001,2000,1760,1762,
1762,1761,2136,1760,2000,1760,1760,2136,2132,2132,2132,2131,2007,1760,2001,
2001,2001,2007,2007,2006,1761,1762,1762,1306,1306,1305,2137,2137,2001,2001,
2137,2001,2001,2001,2001,2137,2001,2029,1827,1762,1306,1762,1762,1761,2132,
2132,2132,2001,2001,2001,2131,2007,2000,1760,2136,2033,1760,2030,2031,2031,
1762,1762,1761,1305,1306,1306,2136,2033,1760,2000,1760,1760,1761,1762,1762,
1841,1306,1850,1821,2132,2132,2132,1744,2137,2001,2132,2132,2132,1744,2131,
2007,2007,2007,2137,2001,2007,2006,2007,1744,1744,2036,1762,2007,2007,2006,
1744,1744,2029,1827,1762,1306,1762,1762,1761,726,1382,1382,1381,2132,2132,
2132,1744,2001,2001,2001,1382,1382,1381,2131,2007,2007,2007,1760,2131,2007,
2007,2007,1760,2136,2033,2031,2030,2031,2143,2007,1744,1761,1762,1762,1305,
1306,1306,2136,1760,2137,2001,2136,2033,1760,2001,2001,2001,1821,1283,2000,
1760,1760,2000,1760,1760,1382,1382,1381,739,2006,2007,2007,1744,1744,1827,
1306,2006,2007,2007,1744,1744,1762,1762,1761,1306,1306,1305,726,1821,1283,
1381,1382,1382,739,2118,1744,1744,1744,1744,1744,1744,1744,1744,1744,1744,
1744,1744,1744,1744,1744,1744,1851,1744,1744,1744,1744,1744,1744,1744,1852,
1283,1851,1852,1283,1852,1851,1899,1589,1589,1589,1589,1712,1711,1156,1156,
1157,1157,1998,1630,1630,1160,1159,2152,2152,1988,1904,1988,1664,1986,1985,
1987,1989,1665,1905,1987,1989,1661,1658,1659,1660,1663,1662,1222,1196,1220,
637,1194,1194,1192,1193,1986,1985,1988,1689,1664,1691,1692,1194,1987,1989,
1665,1700,1661,1701,1658,1659,1662,1222,1663,1660,1174,1906,1907,1905,1247,
1904,1246,1710,1709,1246,1245,1247,1246,1245,1247,1245,1246,1246,1245,1247,
1247,1245,1246,1247,1990,1255,2252,2231,2203,2230,2132,2137,2099,2232,2132,
2001,2001,2001,2186,2007,2132,2133,2013,2186,2132,2186,2132,2186,2132,2007,
2186,2132,2000,1760,2001,2001,2001,1761,1762,1762,2186,2132,2007,2180,1762,
2186,2178,2182,2182,2007,2006,2015,2016,2016,2134,2001,2000,1760,1760,2211,
2202,2007,2131,2007,2131,2007,2132,2132,2132,2001,2001,2001,2000,1760,2006,
2007,2007,2001,2001,2001,2218,2033,2203,2203,2203,2212,2161,2137,2132,2132,
2132,2132,2132,2132,2137,2001,2137,2001,2006,2007,2007,1761,1762,1762,1827,
1306,2131,2007,1760,2131,2007,2136,2033,2031,2030,2031,2132,2132,2132,2137,
2001,2137,2001,2001,2001,2001,2132,2132,2132,2136,1760,2136,2136,2000,2131,
2007,2105,2007,2007,2006,2029,1762,1827,1306,1761,1762,1762,1306,1305,1306,
2000,1760,1760,1821,2218,2136,1760,2137,2137,2001,2036,1762,2186,2132,2137,
2001,2131,2007,2014,1762,2001,2001,2001,2186,2132,2013,2133,2013,2132,2132,
2132,1723,1722,1723,2186,2132,2186,2132,2134,2001,2131,2007,2132,2132,2132,
2001,2001,2001,2000,1760,2136,2000,2015,2016,2016,2017,1723,2018,2186,2132,
2163,2000,2001,2001,2001,2001,2181,2182,2007,2006,2006,2007,2007,1744,1744,
2007,2006,2007,1744,1744,2049,2048,1739,2051,2007,2006,2007,1744,1744,2131,
2007,2132,2132,2132,2137,2001,2143,2007,2136,2143,2007,1744,2006,2007,2007,
1744,1744,2136,2131,2007,2007,2007,2132,2132,2132,1744,2137,2001,2131,2007,
2136,2033,2000,1760,2031,2031,2030,2006,2007,2007,2132,2132,2132,2132,2132,
2132,2001,2001,2001,2001,2001,2001,2131,2007,2136,2033,2137,2001,2137,2001,
2029,1762,2000,2136,2136,2137,2001,2137,2001,2001,2001,2001,2000,1760,2036,
1762,2126,2118,1744,1744,2007,2006,2007,2006,2007,2007,2006,2007,2007,2050,
2050,1827,1730,2007,2006,2007,2006,2007,2007,2006,2007,2007,1869,2007,2006,
2007,2007,2006,2007,2006,2007,2007,2048,1739,1739,1739,1738,2006,2007,2007,
2006,2007,2007,2049,2049,2006,2007,2007,1827,1869,2051,1821,2048,1821,2051,
1743,2000,2000,1760,1760,2000,1760,1760,2000,1760,2000,1760,1761,1762,1762,
2000,1760,2001,2001,2001,2001,2001,2001,2001,2001,2001,2001,2001,2001,2001,
2001,2001,2001,2001,2001,2039,1762,1761,1762,1762,1762,1762,1761,2049,2050,
2048,2051,2001,2001,2001,2000,1760,1760,2000,2000,1760,2000,1760,2001,2001,
2001,2001,2001,2001,2001,2001,2001,1761,1762,1762,1762,1761,1762,2039,1762,
2000,1760,2001,2001,2001,2000,2001,2001,2001,2037,1851,1852,1852,1851,1851,
1852,1851,1852,1898,1589,1907,1906,1905,1904,1156,1157,1998,1630,1630,2247,
2227,2104,2226,2228,2197,2189,2124,2061,2152,2152,2061,1988,1692,2060,1988,
2062,2061,1989,1989,1987,1987,1985,1986,2125,1989,1661,1985,1986,1988,1664,
1691,1692,1194,1988,1689,1988,1664,1662,1989,1700,1665,1987,1986,1985,1658,
1659,1985,1986,1987,1660,1987,1663,1989,1661,1665,1663,1658,1659,1701,1662,
1222,1660,1988,1986,1985,1989,1987,1989,1700,1987,1986,1985,1988,1689,1691,
1692,1701,1709,1709,1710,1710,1709,1710,1245,1246,1247,1990,1712,1711,2199,
2129,2072,1998,1255,2261,2254,2242,2215,2212,2137,2230,2132,2186,2132,2017,
1723,2231,2131,2186,2179,2132,2132,2132,2232,2232,2132,2186,2182,2186,2132,
2007,2186,2231,2203,2132,2132,2132,2131,2007,2137,2001,2137,2001,2230,2132,
2186,2132,2186,2132,2179,2132,2132,2132,2017,1723,2131,2132,2132,2132,2136,
2131,2007,2136,2217,2216,2132,2218,2137,2137,2001,2136,2186,2132,2186,2186,
2132,2186,2132,2186,2132,2186,2186,2138,2132,2132,2132,2131,2007,2132,2132,
2132,2132,2132,2132,2131,2007,2131,2007,2137,2017,2186,2132,2186,2132,2132,
2132,2132,2132,2132,2132,2132,2132,2132,2132,2132,2132,2136,2018,2131,2007,
2131,2007,2131,2131,2007,2139,2186,2186,2132,2186,2132,2186,2132,2186,2132,
2186,2132,2186,2132,2133,2132,2132,2132,2131,2007,2132,2132,2132,2134,2001,
2131,2007,2181,2007,2007,2006,2007,2006,2007,2049,2006,2007,2007,2048,1739,
2006,2007,2007,2051,2182,2007,2006,2181,2007,2007,2006,2007,2007,2006,2050,
2007,2007,2006,2007,2007,2006,2007,2007,2006,2007,2007,2006,2007,2007,2006,
2007,2007,2006,2049,2049,2050,2006,2007,2007,2049,2007,2007,2006,2051,2048,
2048,2051,2048,1739,2006,2007,2007,2051,2006,2007,2007,2136,2131,2007,2132,
2132,2132,2137,2001,2143,2007,2131,2131,2132,2132,2132,2131,2131,2132,2132,
2132,2017,2132,2132,2132,2132,2132,2132,2018,2136,2000,2136,2137,2001,2137,
2001,2001,2001,2001,2137,2001,2131,2007,2132,2132,2132,2136,2143,2007,2136,
1760,2136,2000,1760,2137,2001,2137,2001,2001,2001,2001,1761,1762,1762,2135,
2136,2137,2001,2001,2001,2001,2001,2001,2000,2000,2001,2001,2001,2001,2001,
2001,2001,2001,2001,2001,2001,2001,2000,1760,2000,2000,1760,2000,1761,1762,
1762,2051,2048,2048,2048,2051,2051,2049,2050,2049,2049,2050,2050,2006,2007,
2007,2007,2007,2006,2006,2007,2007,2037,2037,2037,2048,2051,2049,2050,2048,
2051,2050,2049,1869,2037,2051,2048,2050,2049,2048,2051,2050,2049,2048,2051,
2050,2049,1869,1898,1898,1904,1906,1907,1905,1905,1906,1907,1904,1905,1906,
1907,1904,2240,1630,2228,2102,2226,2227,2104,2180,2104,2179,2178,2150,2104,
2103,2104,1935,1968,1646,2105,1974,2179,2178,2180,2104,2099,2182,2181,2152,
2152,1986,1985,1987,1989,1988,1987,1988,1989,2123,2102,2104,2103,2104,2124,
1922,2105,2122,2126,2125,1988,1987,1989,1986,1985,1987,1985,1986,1988,1989,
1987,1988,1689,1988,1691,1692,1986,1985,1989,1985,1986,1987,1989,1700,1701,
1987,1988,1986,1985,1989,1983,1981,1709,1710,1990,1990,1990,2130,2129,1992,
1998,1994,1995,1720,2230,2186,2132,2231,2232,2230,2231,2203,2232,2186,2131,
2007,2132,2132,2132,2131,2007,2186,2132,2132,2132,2132,2186,2232,2218,2136,
2137,2001,2137,2216,2131,2132,2132,2132,2132,2186,2132,2186,2186,2132,2186,
2132,2186,2132,2186,2186,2186,2132,2186,2132,2133,2131,2132,2132,2132,2134,
2186,2186,2132,2186,2186,2186,2132,2186,2186,2132,2186,2132,2132,2132,2132,
2186,2186,2132,2132,2132,2131,2131,2131,2132,2132,2132,2186,2186,2132,2186,
2132,2186,2132,2186,2131,2132,2132,2132,2132,2132,2132,2137,2131,2136,2136,
2132,2132,2132,2131,2007,2137,2132,2132,2132,2131,2007,2132,2132,2132,2131,
2132,2132,2132,2131,2017,2132,2132,2132,2132,2132,2132,2131,2131,2018,2137,
2136,2132,2132,2132,2131,2137,2136,2136,2136,2137,2137,2136,2137,2137,2136,
2137,2137,2036,2136,2136,2132,2132,2132,2131,2050,2049,2051,2048,2050,2049,
2048,2051,2049,2050,2048,2051,2006,2007,2007,2048,2049,2050,2051,2007,2007,
2006,2039,2037,2150,2151,2152,2061,1904,1905,1906,1907,2240,2198,2198,2071,
2072,2261,2254,2242,2226,2228,2227,2189,2197,2197,2124,2197,2120,2178,2179,
2180,2104,2178,2179,2179,2179,2180,2104,2099,2178,2178,2180,2104,2180,2180,
2179,2178,2181,2182,2181,2182,2182,2182,2181,2182,2180,2099,2179,2178,2181,
2182,2181,2181,2181,2182,2103,2104,2104,2103,2104,2104,2124,2123,2102,2102,
2105,2105,2122,2123,2122,2124,2126,2126,2127,2125,2125,2125,2126,1985,1986,
1987,1988,1989,1990,2199,2129,2185,2129,2130,2130,2129,1998,2254,2253,2231,
2230,2231,2186,2186,2186,2132,2186,2186,2186,2186,2186,2132,2186,2186,2132,
2186,2186,2186,2186,2186,2186,2186,2186,2186,2132,2186,2186,2186,2186,2132,
2186,2132,2186,2186,2186,2186,2186,2186,2132,2132,2132,2131,2132,2132,2132,
2131,2136,2137,2137,2136,2136,2136,2137,2137,2151,2151,2150,2150,2151,2061,
2150,2152,2152,2152,2240,2198,2198,2154,2155,2071,2072,2254,2231,2203,2253,
2254,2230,2231,2203,2228,2227,2226,2218,2178,2180,2179,2178,2180,2179,2178,
2179,2180,2178,2179,2180,2177,2180,2099,2178,2179,2178,2180,2104,2179,2181,
2182,2182,2181,2181,2181,2181,2182,2181,2182,2182,2182,2182,2181,2120,2121,
2122,2123,2124,2125,2126,2127,2185,2129,2130,2232,2186,2230,2231,2186,2186,
2186,2186,2186,2186,2186,2186,2186,2186,2186,2249,2248,2228,2197,2150,2151,
2152,2240,2198,2198,2199,2253,2254,2254,2253,2231,2246,2242,2230,2231,2230,
2231,2230,2230,2230,2231,2203,2231,2203,2231,2218,2218,2178,2179,2180,2181,
2182,2259,2240,2185,2186,2223,2249,2228,2248,2228,2227,2226,2227,2228,2226,
2197,2198,2199,2254,2254,2253,2231,2253,2230,2231,2231,2230,2231,2230,2230,
2231,2230,2231,2232,2232,2217,2218,2257,2252,2240,2238,2223,2253,2254,2226,
2227,2228,2247,2230,2231,2232,2257,2249,2248,2259,2258,2252,2252,2240,2253,
2253,2254,2254,2253,2254,2247,2257,2257,2257,2251,2252,2253,2254,2259,2258,
2257,2258,2259,2261,2261],
[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,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,9,9,8,9,10,10,10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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,
1,1,1,1,1,1,1,1,1,5,5,5,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,2,3,3,2,3,3,5,5,6,5,
6,5,5,5,5,5,6,5,5,5,5,5,6,5,5,5,6,3,3,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,5,5,1,1,1,53,53,1,11,17,19,
21,11,13,12,19,21,23,22,23,35,1,1,1,1,1,1,10,10,10,8,9,9,9,8,9,8,9,10,10,10,9,
8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,
5,5,5,5,5,5,5,1,1,1,5,6,5,1,1,5,5,1,5,1,5,5,1,5,5,5,5,6,3,3,2,5,6,5,5,6,5,5,5,
5,5,5,6,5,5,5,5,5,5,2,3,3,3,2,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,3,3,2,5,5,5,5,5,
5,5,5,5,6,5,5,6,5,5,5,3,3,2,3,2,3,5,5,6,5,6,6,2,3,3,5,6,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,3,3,2,3,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,6,5,5,5,5,6,5,5,5,5,5,5,5,5,2,3,3,3,3,2,5,6,5,5,5,5,6,5,5,5,5,5,5,5,
6,5,6,5,5,5,5,6,5,5,5,5,5,5,6,5,5,5,5,5,3,3,2,2,3,3,3,5,5,5,5,5,6,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,47,47,47,47,221,222,8,9,
8,10,1,53,53,53,53,229,228,236,237,236,236,228,229,238,227,227,226,238,227,
227,228,229,238,238,236,237,235,233,234,232,232,230,231,19,21,22,23,22,11,13,
12,35,17,17,11,17,19,19,21,22,23,35,35,13,9,8,10,10,8,9,216,215,9,8,10,64,65,
62,65,64,64,65,62,62,6,5,2,8,53,1,1,1,1,1,1,1,5,5,5,5,5,5,5,5,5,6,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,2,3,5,6,5,5,5,5,2,3,3,5,5,5,6,5,19,19,20,19,20,19,
20,22,22,22,22,22,22,19,20,25,29,29,22,22,22,19,20,22,22,22,22,22,22,22,22,22,
22,22,22,22,22,22,22,25,29,29,25,29,29,26,31,19,20,20,19,20,19,20,29,25,29,22,
22,22,22,22,22,22,22,22,22,22,22,22,19,20,19,19,19,19,20,35,29,29,25,25,29,26,
31,25,29,29,31,26,31,19,20,20,35,19,19,20,22,22,22,25,29,5,5,5,5,5,5,2,3,5,5,
5,5,5,6,5,6,5,5,5,3,3,2,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,5,5,2,3,3,5,6,5,1,1,
19,19,22,22,22,22,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,19,20,19,20,19,20,29,29,25,25,29,
29,22,22,22,22,22,22,22,22,22,22,22,22,19,20,19,20,22,22,22,22,25,29,19,19,19,
22,22,22,22,22,22,22,19,20,25,29,2,5,5,5,29,25,29,19,20,20,22,22,22,22,22,26,
25,20,19,20,25,29,29,22,22,22,25,29,25,29,20,19,20,22,22,22,19,20,29,25,29,25,
29,29,19,20,20,22,22,22,22,22,26,25,19,35,19,35,19,20,19,19,20,20,19,20,20,19,
20,19,20,25,29,29,19,20,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,
25,29,25,29,29,29,29,25,22,22,19,19,5,5,5,5,5,6,5,5,5,5,6,5,5,5,5,5,5,5,5,5,5,
5,5,3,2,3,25,29,19,20,22,22,22,19,22,22,22,5,47,47,47,47,47,47,47,47,2,47,21,
19,11,23,221,222,53,53,53,265,279,280,265,279,266,271,269,271,21,19,23,22,13,
11,22,19,11,17,17,35,35,21,19,345,227,227,229,228,236,236,230,231,232,236,235,
236,236,236,227,226,227,238,228,229,228,229,229,228,238,238,238,238,227,227,
227,238,228,229,233,236,237,238,22,19,21,17,35,227,226,238,228,229,236,235,
230,231,233,670,215,216,216,670,216,65,64,62,686,221,222,1251,1252,1253,11,
264,1,1,19,19,22,22,19,20,19,20,26,31,22,25,22,35,29,29,25,5,5,5,5,5,5,5,5,5,
22,22,22,22,22,25,29,22,22,22,22,19,20,19,20,22,22,35,25,29,29,26,31,19,22,22,
22,19,19,20,19,2,19,22,19,22,22,22,19,5,5,5,5,5,5,5,5,5,22,22,25,29,25,29,25,
29,20,19,20,22,22,22,22,22,19,20,22,26,19,20,19,20,29,25,29,22,22,22,29,29,25,
19,20,20,19,35,25,29,19,20,25,22,22,25,5,5,5,5,5,19,20,22,22,22,22,19,20,19,
25,29,29,19,20,22,22,22,22,22,25,29,69,100,100,101,100,101,100,71,101,100,100,
84,85,101,100,100,67,5,5,5,69,100,100,101,100,100,101,72,100,100,101,100,100,
101,100,100,101,100,100,101,100,100,101,100,100,101,71,72,72,101,100,100,72,
100,100,101,82,82,82,82,84,85,101,100,100,67,101,100,100,19,19,20,22,22,22,22,
22,25,29,22,25,29,29,25,25,22,19,20,20,26,19,20,20,29,25,29,35,19,19,19,22,22,
22,22,22,22,22,22,22,19,20,22,22,22,19,25,29,19,20,19,19,20,22,22,22,22,22,22,
22,25,29,29,25,19,22,22,22,22,22,22,22,19,19,22,22,22,22,22,22,22,22,22,22,22,
22,19,20,19,19,20,19,25,29,29,82,82,84,82,82,67,72,72,72,71,69,72,19,20,20,22,
22,22,25,29,29,47,47,47,178,178,176,176,178,178,176,176,185,47,67,84,69,71,
178,178,176,176,178,178,176,176,185,185,185,239,241,242,243,1154,1153,1152,
1155,226,228,229,237,265,225,1165,1165,1164,1162,1163,1162,1163,1164,1165,
1161,1163,1162,1163,1167,1168,1169,1164,1166,265,279,279,280,271,899,898,229,
228,228,229,238,227,236,238,236,227,265,279,280,279,280,269,269,265,266,998,
345,71,69,88,67,68,238,229,228,236,227,650,644,645,644,647,648,642,643,651,
643,642,650,651,653,655,650,644,642,643,651,345,1185,670,216,686,686,686,1251,
1252,1252,609,1252,1251,1253,67,84,85,71,69,19,22,22,69,71,101,100,100,100,
101,101,100,84,85,100,100,101,67,5,19,19,22,22,22,277,277,283,283,283,283,22,
22,19,19,20,25,29,22,22,71,69,67,67,84,85,84,71,85,84,85,69,101,101,100,101,
101,101,100,101,84,85,67,67,100,101,100,71,69,85,84,85,101,71,101,100,100,101,
101,22,22,19,20,25,29,101,101,100,100,101,101,100,100,72,101,82,82,101,100,
100,101,100,72,100,100,101,101,100,283,283,283,277,283,283,283,277,286,283,
283,283,283,283,283,277,277,293,176,178,22,22,22,19,176,178,82,82,72,72,67,71,
69,84,176,176,185,178,178,100,100,101,101,450,460,523,505,450,460,505,523,460,
450,505,523,101,100,100,505,460,450,523,100,100,101,185,329,265,279,266,271,
1155,1154,1153,1152,1629,1629,265,1251,1253,1256,1257,1258,265,279,279,271,
266,265,269,1258,1259,279,265,279,280,1165,1164,1164,1164,1162,1163,1167,1165,
1165,1162,1163,1162,279,265,279,1655,1654,1655,1654,1654,899,898,899,1162,
1167,1164,1165,898,1654,1655,1655,898,899,1162,1163,1163,1162,1163,1163,1168,
1161,1165,1165,1164,1164,1166,1161,1166,1168,998,1675,1316,1185,1185,345,1675,
643,642,650,644,651,1248,1251,1252,265,1252,1251,1251,1252,1254,279,19,22,279,
279,286,293,101,100,283,286,277,293,283,283,277,283,283,286,293,277,286,293,
283,277,329,101,100,101,277,277,283,283,283,283,329,329,321,329,279,321,283,
283,283,277,283,283,283,277,505,460,450,523,505,523,460,450,1162,1165,1161,
1164,1901,1903,1900,1902,1170,1171,265,1629,1629,1629,1629,1911,1912,1914,
1914,1914,1913,1913,1256,1257,1257,1165,1162,1164,1258,1650,1651,1649,1650,
1651,1649,691,688,689,1165,1164,1162,1915,1651,1653,1650,1649,1165,1162,1163,
1164,1655,1654,1654,1655,1655,1655,1655,1654,898,1654,1654,1654,899,1655,1924,
1923,1674,1666,1671,1676,1675,1316,1629,1715,1714,277,283,691,689,1381,705,
707,1381,1381,1381,689,691,709,705,707,1256,1256,1257,1258,1900,1901,1902,
1629,1629,1629,1991,2000,1257,1256,1256,1257,1999,1258,1256,1257,1913,1914,
1913,1913,1913,1914,1914,1914,1914,1914,1915,1915,1650,1649,1651,1655,1654,
2183,1256,1993,1381,2187,2146,2148,2147,1914,1913,1913,1918,1917,1916,2149,
1910,2156,1914,1913,1913,1914,2157,1726,1727,2079,2078,2079,2078,2078,2079,
1913,1914,2157,2000,2162,2084,1913,2183,2066,2183,2187,2000,1999,2147,2146,
2148,2183,2078,2079,2157,2219,2146,2147,2183,2237,2183,2183,2184,2157,2224,
2159,2158,2160,2225,2229,2219,2219,2219,2237,2220,2224,2225,2236,2237,2233,
2256,2255,2260,2260],
[( 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, 6,12,14,18,23, 3, 7, 9,15, 8,10)( 2,22,13,21, 4,24)( 5,20,17,19)
(11,16)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[2,2],[1,1,
2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,2,1,1,3,-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],[5,1,2,-1,
3,1,4,1,5,-1,3,1,2,1,4,1,2,2]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-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],[1,1,2,-1],[5,1,
2,-1,3,1,4,-1,3,1,4,-1,2,-1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,
1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,-1,2,2,5,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,
-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,3,-1,2,1,1,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1],[1,1,
2,1],[5,2],[6,1,1,1,2,-1,6,1],[4,1,7,-1,4,1,7,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1],[1,1,2,1],[5,2],[6,1,1,1,2,-1,6,1],[4,1,7,1,4,1,7,-1]]],[[[2,2],[1,1,2,1,3,
1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,
3,1,2,1,4,2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,
1],[1,1,2,-2,3,-2,2,3,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,
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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[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],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,
2,1,4,-1,5,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,2,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,-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,
1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,
1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[2,2],[1,1,2,1,3,2,
2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,
1,1,3,1]],[[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],[3,2,4,2,3,-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]]],[[[1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,
4,1]]],[[[1,1,2,1],[2,2,1,1,3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]]],[[[2,
3,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]]],[[[2,2,
1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-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],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[2,2,
1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-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,-2,3,-1,4,1,2,1,4,
1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[
1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-3]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,3,3,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,2,2,3,3,1,1,1,2,
-2]],[[1,1,2,1],[3,1,1,1,2,-2,3,2,2,3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
2,4,1,3,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,
3,1,4,1,3,1,2,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,
-1,3,1]],[[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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,
1,2,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,
5,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[1,1,2,-3,4,-1,3,2,2,1,4,
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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[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],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,
4,2]]],[[[1,1,2,1],[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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,2,-1,3,-1,4,-1,5,1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
-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,-1,5,
1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]],[[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],[2,1,1,1],[1,1,2,-1],[4,1,2,
2,3,1,5,2,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[
2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,
1,3,1]]],[[[1,1,2,1],[3,2,2,5,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,
2,4,1,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2,4,-1,2,-1,3,-1,1,1,2,
-2,3,-2,4,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[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],[2,1,4,1],[4,1,3,1,5,1,3,
-1,5,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,1,2,1,4,1,3,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[2,1,1,1],[
1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,2,-1,3,1,4,1,5,-1,2,1,4,1,3,-1,4,1]]],[[[1,1]],[[2,2],[1,1,2,1,3,1,1,
1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,1,1,1,2,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[2,1,1,1],[1,1,2,
-1],[2,1,3,1,1,1,2,1],[3,1,5,1,4,-1,5,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,
1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-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,
3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,2,1,
3,1,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,3,-1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,
-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-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]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,3,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,1,4,2]]],[[[2,1,1,1],[1,1,2,3],[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,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-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],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,1,1,1,3,
2,2,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,
-1,3,-1]],[[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],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,
4,-1,5,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,1,2,1,4,1,3,
-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,
2,-1,3,1,4,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,-1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,
4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,
1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,2,2,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,
2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,-1,5,-1,1,1,2,-1,3,1,5,1,
4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,3,2,1,
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],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[1,1,2,-1],[5,
1,2,-1,3,1,4,-1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,
-2,4,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,
5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,1,5,-1,2,1,4,1,
3,-1,4,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,
1,4,2]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[
1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-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,-1,3,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,3,1,2,3,1,1]]],[[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-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]]],[[[2,1,1,1],[2,1,3,1,
1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,
1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,
-1,2,-1,3,2,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,1,2,2,3,1]]],[[[1,1,2,1],[3,2,
2,2,1,1,3,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,
1],[2,3,1,1,3,2,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,
2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[1,1,
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],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]]],[[[2,1,1,
1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,
2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,-1,
1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[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],[4,1,3,-1,4,1,2,-1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,4,-1,2,-1,3,-2]]],[[[1,1,2,-3,1,1,2,
3,1,1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,
-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
2,1,4,2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]],[[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],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,
2],[3,1,4,1,3,1,4,1]],[[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,-1,1,1,2,-1]],[[1,1,2,1],[2,2,1,1],[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]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,
3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,
3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[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],[3,2,4,2,3,-1,
4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[3,1,
1,1,2,-2,3,-1,2,2,1,1]],[[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],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,
1,1,1,2,-2,3,-1,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,4,1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,
2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]]],[[[2,2],[2,1,1,1,3,-1,
2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,4,2,2,-1,3,-2]]],[[[1,1,2,1],[3,2,2,
4,1,1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,-1],[3,2,2,
-2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]]],[[[2,2],[
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2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-1,3,2,4,1]]],[[[1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,
-2,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,1,2,2,3,1]]],[[[1,1,2,1,1,1,2,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,4,-1,2,-1,
3,-1,1,1,2,-2,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,
-1,5,1,3,-1,2,-2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,
2,2,5,2,2,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,1,3,-1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,
3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,2,2,2,1,1,2,-1,3,-1,2,-1,3,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-1,3,-1,4,-1,3,1,4,-1,2,-2]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,2,2,3]],[[1,1,2,1],[2,2],[4,1,3,1,1,1,2,-2,4,-1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,4,-1,3,1,4,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,1,2,3,4,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-3,3,-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],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
3,1,4,1,2,3,4,1,3,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,
3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[
2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[
3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,3,1,2,1,4,2]]],[[[2,2],[2,1,1,1,3,-2]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-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],[2,2,3,1,4,1,2,1,4,-1,3,-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]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[2,3,1,1,2,1,1,1]],[[2,2],[1,1,2,1,3,2,
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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,
2,1],[2,3,1,1,3,2,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,1,2,2]]],[[[1,1,2,1],[2,
2,3,1,1,1,2,-2,3,2,2,1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1],[4,1,2,1,1,1,4,
1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,1,3,1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,1,4,-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]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,
1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,
3,1,4,2]]],[[[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],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,
-1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,
1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,2,2,1,4,1]]],[[[2,1,1,1],[2,2],[1,1,
2,1,4,1,3,-1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,1,
2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,-2,3,1,2,1,3,1,4,1,2,1,1,
1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,2,1,1,1,2,-3,3,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,
2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,
-2]]],[[[2,1,1,1],[3,2,2,-2,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,
1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,
2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,4,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,2,-1,3,1,4,1,5,-1,3,1,2,1,4,1,2,2]]],[[[2,2],[2,1,1,1,3,-1,1,1,2,1,
3,1]],[[1,1,2,1],[2,2,1,1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,
3,1,4,1,5,-1,3,1,2,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,1,1,1,2,-2,3,-1,4,
1]]],[[[2,1,1,1],[2,1,3,1],[3,1,4,1,2,-1,1,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,2,1,4,2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,
3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,
2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,2,2,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-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],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,2,2,1,4,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-3,3,-2]]],[[[1,1,
2,1],[3,1,1,1,2,-2,3,1,1,1]],[[2,2],[2,1,1,1,3,2,1,1,2,1]]],[[[2,2],[1,1,2,1,
3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,-1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,3,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-2],[4,1,3,
-1,4,1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,
2,-1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,-3,1,1,2,3,1,
1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,
1,4,2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,2,2,
1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,
2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-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],[3,1,2,1,
3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,-1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,-1,2,-1,3,-1,4,-1]]],[[[2,2],[
2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,
1,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,4,-2,3,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,
4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,4,-1,2,-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],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,
2,4,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,2,3,1]]],[[[1,1,2,-2,1,1,2,-1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,2]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1],[1,1,2,1],[5,2],[6,1,1,1,2,-1,6,1],[4,1,7,-1,4,1,7,1]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1],[1,1,2,1],[5,2],[6,1,1,
1,2,-1,6,1],[4,1,7,1,4,1,7,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1],[1,1,2,1],[5,2],[
6,1,1,1,2,-1,6,1],[7,1,4,1,7,2]]],[[[1,1,2,1],[3,2,2,5,1,1,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,4,-1,
3,-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]],[[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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
4,1,3,1,2,2,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,2,-1,3,1,4,1,5,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,
3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[2,
1,1,1],[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],[
4,1,3,1,5,1,1,1,2,-1,3,1,4,-1,2,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,
-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-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],[4,1,3,1,2,1,3,
1,5,1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,
2,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,
1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,4,1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,4,-1,1,1,2,1,5,1,3,-1]]],[[[2,1,
1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,
4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]]],[[[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,-1,3,1,4,-1,2,
-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]]],[[[1,1,2,1],[3,
2,2,3,3,1,1,1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,4,1,3,-1,5,2,2,-1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[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],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,
1,2,2,1,1,2,-1]]],[[[2,2],[1,1,2,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,
1,3,1],[1,1,2,-1,3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,2,3,4,
-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,
1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-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,-1,2,-2,3,1,2,1,3,1,4,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]],[[2,1,1,1],[1,1,2,-1],[1,
1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,
3,1,4,1,5,-1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[2,1,1,1],[
1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,5,1,3,2,2,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,
1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,
1,2,-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
2,1,4,1,3,-1,5,2,2,-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]],[[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,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,1,1,1,
3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,2,-1,3,-1,4,1,2,1,4,1,3,1,4,-1,5,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,
-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,
1,3,1,2,2,4,-1,5,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[
2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]]],[[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[1,
1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,
4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,2,2,2,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]]],[[[
2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[2,1,
1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,
-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,
1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[3,2,2,-2,1,1,
3,2]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,2,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-2,4,-2,2,-1,3,-1,2,1,1,1]],[[1,
1,2,1],[1,1,2,-1],[4,2,2,-1,3,-1,2,1,1,1,2,-2,3,-2]]],[[[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],[3,1,2,1,4,-2,2,-1,
3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,4,-1,3,1,4,1,2,3,3,2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,4,-2,3,-1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,2,4,-1,2,-1,3,
-1,1,1,2,-2,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,2,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,
2],[4,1,3,1,1,1,2,-2,4,-1,3,-1,2,1,1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-2,3,2,2,3]],[[1,1,2,1],[2,2],[4,1,3,1,1,1,2,-2,4,-1,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,5,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,2,4,-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,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,
1],[2,1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,5,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,
1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]]],[[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,1,4,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[
3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[2,2],[2,1,
1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-2,4,-1,3,1,2,2,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[1,1,2,-1,4,-1,5,-1,3,-1,5,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,1,2,-2,3,1,2,1,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,
-1,2,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,-2]],[[1,
1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,
-1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-4,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-1,1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,
1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,
-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,2,3,4,-1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[4,1,3,1,5,1,1,1,2,-1,3,1,4,-1,2,-1,5,-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],[3,1,2,1,4,-2,
2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,
3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,
2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[1,
1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,2],[4,1,1,1,2,
-1,3,1,4,1,3,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,
3,-1,4,1,3,2,2,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,2,2,3]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[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,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,
4,1,3,1,4,2]]],[[[1,1,2,1],[3,2,2,5,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,-1,2,1,1,1,3,1,4,-1,2,-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],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[1,1,2,-1,3,1,2,1,4,-2,3,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,3,-1,4,-1,2,-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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-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],[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],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,
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,-1,3,1,4,-1,2,-1,4,-1,2,-3,3,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,-1,3,-1,4,1,5,-1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,
1],[2,2],[2,1,1,1,2,-1,3,-1,4,1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
3,2,4,1,5,2,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,2,3,-1,5,-1,3,1,4,2,
5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,2],[3,1,2,1,3,
1,4,1,1,1,2,-1,1,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,
-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-1,4,1,2,-1,1,1,2,-1,5,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,-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],[2,2],[3,1,2,1,4,2,
5,-1,3,-1,5,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,3,3,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,
2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,2]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-1,2,1,1,1,2,-2]],[[1,1,2,1],[
1,1,2,-1],[2,3,1,1,3,-1,4,2,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,
4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,
4,1,3,-1,4,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,-1],[4,2,1,1,2,-1]],[[
1,1,2,1],[2,2],[2,1,3,2],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,
1],[4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,-2,3,1,2,1,3,1,4,1,2,1,
1,1]]],[[[1,1,2,-2,1,1,2,-4,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,-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]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,-1],[3,
2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,3,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,4,-1,3,1,5,2,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,1,2,
1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,
1],[3,1,2,2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,
1,2,1],[1,1,2,-1],[4,2,2,-1,3,-1,2,1,1,1,2,2,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[
4,2,2,-1,3,1,2,1,1,1,2,-3,3,-2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1],[4,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[4,1,2,1,4,1,3,-1,1,1,2,-1,3,1,5,2]]],[[[2,1,
1,1,2,3,1,1,2,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,2,2,1,1]]],[[[2,1,1,1],[
3,2,2,-2,1,1,3,2]],[[1,1,2,1],[2,2],[3,1,4,2,3,1,1,1,2,-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],[2,1,4,1],[5,1,3,1,4,-1,1,1,
2,-1,3,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,2,3,-1,2,-2]]],[[[1,1,2,1],[1,1,2,-1,3,2,
1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,2,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,2,-1,3,1]]],[[[1,1,
2,1],[2,1,3,1,2,1,1,1,3,1,2,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,
-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,1,
5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,2,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[
2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,2,1,4,1,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,3,2,
1,1,2,-3,3,-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]]],[[[2,3]],[[1,1,2,1],[2,2,1,1,3,-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,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,
1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,
2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[2,2],[3,1,2,2,3,1]]],[[[2,1,1,1],[2,1,3,1,
1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,4,-1,3,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,
1,3,1,2,2,3,1]]],[[[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],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,4,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,4,-1]]],[[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,
4,1,3,-1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,-1]],[[
1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[3,1,5,-1,4,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,
1,2,-2,3,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-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,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,2,3,1,2,1,4,1,3,1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,3,3,1,2,1,3,2]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,
1,4,-1,3,1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,
1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,2,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,
1,2,1],[3,1,2,1,1,1,2,-2,3,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,-1,4,-1,2,-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],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,1,2,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,
1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,
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],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,
1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,2,2,4,
1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,2,2,2,
1,1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,-1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,
1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[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],[3,1,2,1,3,1,2,-1,1,1],[4,1,2,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,-1,4,1,3,2,2,1,5,
-1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,1,3,1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,2],[2,1,1,1,3,-1,2,
-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,
1],[2,2],[4,1,3,2,2,-1,1,1,4,-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],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[2,1,1,
1],[1,1,2,-2,1,1,2,2,3,2]]],[[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,
3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,1,2,2]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,
3,1]],[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-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,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,3,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,-2,1,1,2,-4,1,1]],[[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],[4,1,3,-1,4,1,2,-1,3,
1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,
3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,
4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,-1]]],[[[1,1,2,1,
1,1,2,-3]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,2,2,-1,1,1,3,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,
-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,
2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-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]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,2,3,-1,4,1,2,-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]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,1,2,1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[1,1,2,-1],[1,1,2,3],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,
4,-2,3,-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],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,4,-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,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[
1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[1,
1]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,
1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,2,2,1,4,1]],[[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],[3,
1,4,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-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],[4,1,2,-1,3,-2,
4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,2,2,1,4,1,2,1,1,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,
-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,
5,1,3,-1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,
4,-2,3,-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],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,
3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,2],[1,1,2,
-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,3,
-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,
1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,
3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,1,1,
1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,2,2,1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,
2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,
2,1,4,2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,1,2,1,3,1]]],[[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[2,1,1,1],[2,2,3,
-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-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],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,
1]]],[[[1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-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],[3,1,2,-1,1,1,3,1,2,
-1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,
-2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,
-2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,
2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[
1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,
-1,4,-1,2,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,
2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,3,1,1,3,2,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,3,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,
1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-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]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[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]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,1,1,2,
-3,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,1,2,1,4,1,3,
-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,
-1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,2],[2,1,1,1,3,-1,
2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[1,1,2,1,3,
1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[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],[3,2,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,
3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,-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,-1,4,1,2,-1,4,
-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],[2,1,
1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-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]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[2,1,1,1],[1,1,2,3],[3,
1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[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],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,
1,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[2,-2,1,1,
2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,
-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],[3,1,2,
1,4,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,
2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,2],[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],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
-2,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[2,1,1,
1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,
-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]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
1,1,2,-1],[4,2,2,-1,3,1,4,1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,
4,2,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-3,3,-2,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,1,2,2,5,2,2,-1,3,1,4,1]]],[[[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],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,1,
1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,
3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[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],[4,1,2,1,4,1,3,
-1,4,1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,
1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
-2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,
3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,
1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,
-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,
1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,
-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]]],[[[
2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,
4,1,2,-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],[2,
1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,2],[3,
1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1]]],[[[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],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,
-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[2,-1,1,1,2,1]],[[2,1,1,1],[3,1,1,1,
2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[2,2,1,1],[4,1,3,2,4,1]]],[[[2,-1,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,
3,-1,4,1,2,-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],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,
1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-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,-3,
1,1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,
-2,3,-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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,
2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,
1,2,-2,3,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[
2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,
1,2,1,3,-1,2,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,
1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,
1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,-3,1,1]],[[1,1,2,1],[2,2],[4,1,3,
1,4,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,
-1],[4,2,2,-1,3,1,4,1,3,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,
-1,3,-2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,2,4,1,3,1,4,2]]],[[[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],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,
1,3,-1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-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],[4,1,3,1,2,1,3,2,2,
1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,2,-1,3,1]],[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,1,4,2,2,-1,3,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,
1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,
3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-3,3,-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],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,
3,-1,4,1]]],[[[1,1,2,1],[3,2,2,3,3,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,1,1,2,-1,3,2,2,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,
-1,4,-1,3,1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,1,4,2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,2,2,2,1,1,3,
-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,3,1,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,1,
1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,3,1,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[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],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,
-2]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
-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,-1,4,
-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-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],[3,1,4,-2,3,-1]],[[1,1,2,
1],[3,2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,
-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[2,
1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,
4,1,2,1,4,1,3,1]]],[[[2,2],[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]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[3,
2,2,-2,1,1,3,2]],[[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],[3,1,4,-1,2,-1,4,-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,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[
1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,
4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[4,1,3,-2,2,1,1,1,4,1,3,1,2,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,
1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-3,3,-2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,2,-1,3,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,2,2,3]],[[1,1,2,1],[2,2,
1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2]]],[[[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],[4,1,2,2,3,1,2,1,3,2,4,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[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],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
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1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[
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1,2,1,4,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,
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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],[1,1,2,
-1,3,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,
4,2,2,1,1,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,
2,1,1]]],[[[1,1,2,1],[1,1,2,-3,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,
4,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[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,-2,2,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,
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1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,
3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[1,1,2,1],[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]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
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3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,
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2,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,3,1,1,3,2,2,1]]],[[[1,1,2,1],[
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1,2,-1,3,-2,4,-1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,
2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,2,2,1,1]]],[[[1,1,2,
1],[3,2,2,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,
2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[3,2,
2,2,3,1,2,1,1,1]]],[[[1,1,2,1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,1,2,-1,3,-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],[4,1,3,-1,4,1,2,-1,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,3,1,4,2]]],[[[1,1,2,1],[2,2,
3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,3,1,4,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,1,
1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[2,2,1,1,
2,1,3,-2,2,-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,
1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,
1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,3,-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],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,2,
3,1,1,3,-2]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,
1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]]],[[[1,1,2,-1,1,1,2,2,1,
1,2,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,
1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,3,1,2,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,
1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[2,2,1,1,2,-1,1,1,2,-2,1,1,
2,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,
1,4,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,4,-1,2,-2,3,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,-1],[3,1,1,1,2,-2,1,1,3,-1]]],[[[
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1,4,2]]],[[[1,1,2,4,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]]],[[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,
2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,
-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-3,3,
-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,1],[4,1,1,1,2,1,4,1,3,
1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-3,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-2,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,4,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,1,4,-1,3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,2]],[[2,1,1,1],[1,1,2,-2,3,
-2,2,-2,1,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[1,1,2,3],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,
1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[
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],[4,1,2,1,
4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-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],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[1,1,
2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[
2,1,1,1],[1,1,2,3],[3,1,4,-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],[3,2,2,1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,
3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,-1,4,-1,2,-1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,
-1,3,2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,2,3,1]],[[1,1,2,1],[3,1,1,
1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,1],[2,1,3,1,1,
1,2,-1,3,1,2,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,
2,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,
2,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-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],[2,1,1,1],[4,1,2,1,4,1,
3,-1,2,1,3,1,4,1]]],[[[2,2],[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],[2,1,3,-1,1,1,2,3,3,1]],[[1,1,2,1],[2,1,1,1],[3,
2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,
1],[3,1,2,1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[1,1,2,-1,3,2,2,1,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-3,3,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,-1,4,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,
1,2,2,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,
2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[1,1,2,-3,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,2,-1,3,1,4,-1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,1,1,1,2,-1,3,1,4,-1,2,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,2,1,
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,-1,4,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,
1,3,1,2,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,
2,2,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,1,3,-1,5,2,2,-1,3,1]]],[[[2,1,1,1],[
1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,
-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[
2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,
2,1,4,1,3,1]]],[[[1,1,2,-1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,
4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,2,3,-2,2,1,1,1]]],[[[1,1,2,-1],[3,1,
2,-1,1,1,2,1],[3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,3,-1,4,-1,2,-1]],[[2,
1,1,1],[1,1,2,-1],[1,1,2,3],[3,1,5,1,4,1,5,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,
-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,
3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,2,2,
1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,
4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,
1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,
-1,2,-1,3,-1]]],[[[1,1,2,-1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[
1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,
4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,
2,2,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,
2,-1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,4,1,
3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,
-1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,
-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[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,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,
4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,
-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,-1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,2,-1,3,1]],[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-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]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,1,1,1],[2,1,3,1,
1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,2],[1,1,2,-1,4,1,1,1,2,-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],[2,1,1,1],[4,1,2,3,1,1,3,
2,2,1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[3,1,2,2,4,-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,-3,
1,1,2,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,
2]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,
-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,
1,1,1,2,-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],[2,
1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,
4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[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],[2,1,3,2,4,1,3,2,2,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[
1,1,2,3],[3,1,4,-2,3,-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],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[2,1,1,1],[2,-2,1,1,2,
2]],[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,
1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-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]],[[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],[4,1,2,1,4,1,3,-1,4,
1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,2,3,-1,4,-1,2,-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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,
-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[
1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,1],[3,
1,4,2,2,1,1,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,-1,1,1,2,-1,4,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[2,
1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,-1,2,2,1,1]]],[[[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],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,
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],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,2,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,
2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,-2,2,1,3,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]]],[[[2,-1,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,1,1],[3,1,4,-1,2,
-1,4,-1,1,1,2,-2,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,
3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[2,1,1,1,3,-1,2,
-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[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],[2,1,3,2,4,1,3,
2,2,1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[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],[4,2,2,-1,3,-1,
4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-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,-1,4,-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],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,2,3,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,
1,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,
1],[3,1,2,2,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,3,2,2,1,4,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-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,-1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[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]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,
1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,2,2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[
3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,4,1,1]]],[[[2,1,1,1,
2,-1,1,1,2,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,
1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,
2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[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]]],[[[2,2],[3,1,
2,2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,
1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,
3,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,
2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,
1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,
1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,-1],[1,1,2,3],[3,1,4,1,3,1,4,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,
1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,
1,1,1,2,-2,3,-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,
2,-2,3,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[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],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,
1,1,4,1,3,-2]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,
1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-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],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,
-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,1,2,1,1,1,4,1,3,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[
1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,
1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,
4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,2,2,4,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-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],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[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],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,
1,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[
2,1,1,1,2,-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]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,
-1,5,-1,4,-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]]],[[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,
2,1,1,1,3,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,
1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,
1,4,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[2,1,1,1],[2,1,1,1,2,1,3,1,2,1,3,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[
1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,
1,1],[1,1,2,3],[3,1,4,-2,3,-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],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[1,1,
3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,
4,-1,3,1,2,2,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,
2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,
1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1],[1,1,2,
3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,
1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,
2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,2,2,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,
2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[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],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,
1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,
2,-2,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,1,1,1],[3,1,1,1,2,
1,3,-1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
2,1,1,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,
3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,3,4,1,3,1,4,-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,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,-3,1,1,2,
3,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[3,1,2,2,1,1,
2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,-1,4,1]]],[[[1,1,2,-3,1,1,2,
3,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[2,1,1,1,2,1,3,1,2,1,3,
2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-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,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,2,3,-2,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[2,1,1,1],[2,2,
1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,
1],[3,2,2,-2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,2,1,4,1,3,-1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,3,4,1,3,-1,1,1,2,
-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,4,-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,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,
1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,2,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,
2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]]],[[[1,1,2,1],[
2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,
4,1,2,-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]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,2,2,4,
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,
3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,
1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,
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2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,
4,-1,2,-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],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-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,-2,3,-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],[4,1,3,-1,2,-1,3,-1,1,1,2,
-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,
-1]],[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,1,1,2,-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],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,
4,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,-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,-1,3,-2]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-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,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,
5,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,
2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,
2,4,1,3,1,4,2]]],[[[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],[3,1,2,1,4,-2,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,
2,-1,4,1,3,1]],[[1,1,2,1],[2,2],[1,1,2,-1,3,-1,2,1,1,1,4,2,3,1]],[[1,1,2,1],[
2,2],[4,1,1,1,2,-1,3,1,4,1,3,1,1,1,2,-2]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[3,
1,5,1,4,1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,2],[3,2,2,1],[4,1,5,1,4,1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]],[[1,1,2,1],[1,1,2,
-1],[4,2,2,-1,3,1,2,1,1,1,2,-3,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,1,1,3,2,2,3]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,4,-1,3,-1,2,1,5,-2]]],[[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,
4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,
4,-1]],[[1,1,2,1],[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,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,2,2,1]],[[1,1,2,
1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,2,4,-1,2,
-1,3,-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,-1,2,
-1,3,-1,4,1,3,2,2,1,5,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[2,1,1,1],[1,1,2,-3,1,1],[
4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,1,3,1,4,2,2,-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,
4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[
1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,
1,4,-2,3,-1]],[[1,1,2,1],[3,2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,
4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,
1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[3,2,2,-1,1,1,
3,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,
4,-1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,
2],[1,1,2,-1,4,1,1,1,2,-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],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,2,
2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,1,1],[1,1,
2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,
-1,3,1]],[[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],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,2],[2,
1,1,1,3,-1,2,-1,1,1,3,1]],[[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],[1,1,2,-1,3,1,4,-1,2,-1,4,2,3,-1,2,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,
2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-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,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-3,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,3,
1],[1,1,2,-1,3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,
1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,2,3,1,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,
-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[2,1,1,1],[
1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,
4,1,3,1]]],[[[1,1,2,1],[2,2],[3,2,2,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[2,1,3,
-1,1,1,2,1,3,1],[4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,
4,-1,3,1,4,-1,2,-1,4,-1,5,1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,-1,2,
-2]]],[[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,2,3,-1,2,-2]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[
1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]]],[[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,-1],[1,1,2,3],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,1,2,1,1,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,3,4,1,3,-1,4,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[
1,1,2,-1],[4,2,2,-1,3,-1,2,1,1,1,2,2,4,1,3,1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,
2]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-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],[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,-1,3,1,2,2,4,1,3,1,4,2]],[[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,-2,3,-1]],[[1,1,2,1],[
3,2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,
1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,
2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,
1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-1,4,1,3,-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],[3,1,2,2,4,1,3,2,2,1,4,1,2,1,1,1]]],[[[1,1,2,-3,1,
1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,
1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,2,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-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,
2,-1,4,-1]]],[[[1,1,2,1],[3,2,2,3,3,1,1,1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-2,3,2,
2,3]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,2,2,-1,3,-2,5,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,
4,1,2,1,4,-1,3,-1,4,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,
2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,
-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[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],[4,1,2,1,1,1,2,-2,4,1,
3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[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],[4,
1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,
1,2,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,1,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[1,1,
2,-1,3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,
-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-2,2,-2,
3,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,-2,
3,1,2,1,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[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,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1]],[[1,1,2,-2,1,1,2,-4,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,
1,1,3,2,2,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[3,1,2,1,3,1,2,3,1,1]],[[2,1,1,1],[1,1,2,4,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1,2,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1,
3,-1,1,1,2,-2,3,1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[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]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,
2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,
1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,1,
1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,-2,3,-1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,3,1,1,3,2,2,1,4,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,
1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,2,-2,3,-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],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,
1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,
4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,1,3,-1,5,2,2,-1,3,
1]]],[[[1,1,2,1],[3,2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]]],[[[
1,1,2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,2,2,3,1,4,-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],[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],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,
-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,
2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-2,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,2,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,2,3,1,2,2,5,1]]],[[[
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3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,
2,4,-1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[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],[1,1,2,-1],[2,2,1,1,2,-1,4,1,
3,-1,2,-1,3,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,
-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,4,1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
-1,2,-1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,
-1,3,1,1,1,2,-1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
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1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-2,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,3,1,2,2,4,1]]],[[[2,1,
1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,
-1,3,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,
1,2,3],[3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,2,2,2,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-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],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]]],[[[1,1,2,-1],[3,2,2,-2,1,1,2,
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],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,
1,1,2,-1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,2,4,1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,3,-1,2,-1,3,-1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[1,
1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,
1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,
3,1,4,1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1],[4,2,2,1,1,1]],[[1,1,2,1],[2,
2],[3,1,4,1,2,1,1,1,4,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,1,2,-2,
4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,4,-1,2,-1,3,-1,1,1,2,-1,4,-1,
3,-1,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,3,3,1,2,1,3,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[2,1,1,1],[3,
1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,
1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,
1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[1,1,2,1],[
2,3,1,1,3,2,2,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,
2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-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]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,
1],[2,1,3,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[2,2],[1,1,2,1,
3,2,2,1,1,1]]],[[[1,1,2,1],[2,3,1,1,3,2,2,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,
1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,
3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,
-1,4,-1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,
1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[1,
1,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[
3,2,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,2,
1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[2,1,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[3,
1,2,1,3,1,2,3,1,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[3,1,2,2,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,3,1,
1]],[[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,-2,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,2]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,
1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,
1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,
1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[2,1,
1,1],[1,1,2,-2,1,1,2,2,3,2]],[[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],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,
2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,
2,1],[2,-1,3,2,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,-1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,
2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,1,2,2,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,
1,2,1],[2,2,1,1,3,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,
2]]],[[[2,3,1,1,2,1,1,1]],[[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],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[1,1,2,1],[3,2,2,2]],[[2,2],[1,1,2,1,3,2,2,1,
1,1]],[[2,1,1,1],[2,1,3,2,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,
4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]]],[[[2,
1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,
1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,-1,1,1,2,-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]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,-3,1,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
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2,1,4,1,3,1]]],[[[1,1,2,-2,1,1,2,-4,1,1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,
2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,
1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
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1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[
3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[
1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[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],[3,2,2,1,4,2,2,1,4,1,3,
1]]],[[[2,1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,3,1,1,3,2,
2,1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,
1]]],[[[1,1,2,1],[3,2,2,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,
3,2,2,1,1,1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,
4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,1,
1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,
2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,-1,2,1,1,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,
1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,
1],[1,1,2,-3,3,-1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,
1],[2,1,1,1,3,-1,2,-3,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,
1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,
-1,3,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,
1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,
2,1,4,2]]],[[[1,1,2,1],[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,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,
1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,2,
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]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,
3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-1,2,1,1,1,4,-1,3,-1,2,1,4,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[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,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,
4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1,2,-1]],[[2,2],[3,
1,2,2,3,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1,2,-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],[
1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,
-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],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,-1,3,-1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,
1,5,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[2,1,1,1,2,1,3,-2,2,
-1]],[[2,1,1,1],[1,1,2,4,3,2]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[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,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[3,
2,2,-2,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,4,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[1,
1,2,1],[2,1,3,2,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-1]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,1,1,
1],[3,2,2,-2,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-2,3,-1,2,1,1,1]],[[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],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,
3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,2,2,4,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,
3,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,
-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[
4,1,5,1,3,-1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,1,1,2,-2,
3,-1,4,1]]],[[[1,1,2,-2,1,1,2,-4,1,1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,
2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,
-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],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,
-1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-2,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,2,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]],[[
2,1,1,1],[2,2,3,-1,1,1,2,-3,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,
1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,4,2,3,-2,2,1,1,1]]],[[[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],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,2,4,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[
1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,
1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,3]],[[2,1,1,1,2,3,1,1,2,-1]],[[2,2],[
1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,4,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,-1,4,1,3,-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],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[3,1,2,3,1,1,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,3,
-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,2,2,1,3,1,
2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[2,1,1,1],[2,-2,
1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[
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2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-4,
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2,3,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,
-1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-3,3,
-1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,3,1,2,3,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,
2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,2,3,-1,5,2,3,1,2,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,
-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3,
3,-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],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,
-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,2,3,
-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1,2,2]],[[2,1,1,1],[1,
1,2,3],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,
1,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,-2,4,-1,2,-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],[4,1,3,-1,4,-1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[3,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,3,1,1,2,2,1,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[2,1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[
1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[1,1,
2,1],[2,1,3,1,2,1,1,1,3,2,2,1]]],[[[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],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[
3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[1,
1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,-1,
3,-2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,-1,3,-1,1,1,2,
-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,-1]]],[[[2,
1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,
1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-1,2,-2,3,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-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,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-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]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,4,1,3,1,2,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,1,
1,2,-1,3,1,2,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,1,5,
-1,3,1,2,1,4,1,2,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,
2,-2,3,1,1,1,3,-1,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
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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],[2,1,4,1],[4,1,
5,1,3,-1,5,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-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,-2,3,-1]],[[2,2],[1,1,2,-2,1,1],[
4,1,3,1,4,1,3,1]],[[2,2],[1,1,2,2,1,1],[3,1,4,-1,3,1,4,-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],[4,1,3,1,4,-1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[3,
2,2,1,1,1,2,-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,-1,
4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,
1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,2,1,4,-1,3,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,
-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1,4,1,2,-1]]],[[[1,1,
2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[
1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,2,2,
1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,
-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,
1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,
1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,
1]]],[[[1,1,2,1,1,1,2,-1]],[[2,2],[3,1,2,2,3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[2,1,1,1],[2,1,3,1],[1,1,2,1,4,2,
3,1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,1,3,1]],[[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,
2,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[2,2],[3,1,2,
2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,-2,1,1]],[[2,2],[3,
1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,2,-1,3,-1]],[[1,1,
2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,-1,
3,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,
1,3,1,2,2]]],[[[1,1,2,1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[
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,-2,3,1,2,1,1,
1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,3,1,2,2]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[2,-1,1,1,2,1]],[[
2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,-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],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,2]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]]],[[[1,
1,2,1],[3,2,2,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,
-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],[3,-2,2,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,
2,3,1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-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],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,
-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,
2,1,3,-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,
1,2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,-2]],[[1,1,2,-2],[3,2,1,1,2,
1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[2,1,
1,1],[2,1,3,2,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,1,4,-1,2,-1]]],[[[2,1,1,1],[3,
1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,-1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,
4,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,
2,-2,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,3,1,4,-1,2,
-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,
1]]],[[[1,1,2,-1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,
-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,
4,-1,2,-1,4,-1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[2,1,1,1],[2,1,3,2,2,
-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,-2]],[[1,1,2,1],[
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2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,
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],[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,-1,4,1,2,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-2,4,1,2,
-1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-2],[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]]],[[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,3,1,1,3,2,2,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,3,1,2,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,2]]],[[[1,1,2,
-2],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,2,1,1,
2,-2,3,-2]]],[[[1,1,2,1],[3,1,2,4,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,
1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,2,
1,4,2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1,2,3,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,
2,-3,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,1,2,1,3,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2,4,2,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,
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],[3,1,2,2,4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,2],[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,-2,3,-1]]],[[[1,1,2,1],[3,2,1,
1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-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,-1,2,-2,3,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[
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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,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,1,2,2,3,1]]],[[[1,1,2,
2,1,1,2,-3]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2]]],[[[1,1,2,-1,1,1,2,-3,1,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,
1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,
2,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[
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1,3,-1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[3,2,2,
1,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,-1]],[[1,1,
2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,1,1,2,-2,3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1]]],[[[2,1,1,1,2,
-1],[3,1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[2,1,1,
1],[2,-1,1,1]],[[1,1,2,-2,1,1,2,3,1,1]]],[[[2,2],[2,1,1,1,3,2]],[[1,1,2,1],[3,
1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,4,1,3,1,2,2,
4,-1,5,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,3,2,2,1,5,1,3,1,2,1,3,1,4,-1,5,1]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,
1],[3,1,4,2,2,1,1,1]],[[2,1,1,1],[2,2],[1,1,2,1,4,1,3,-1,1,1,2,-1,4,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-2,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,
-1,5,2,3,1,2,2,4,1]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,
4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[
1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[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],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,2,1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,-1,1,1,2,-2,1,1]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1,2,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,4,1,2,2,3,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]]],[[[2,1,1,
1,2,-1,1,1,2,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-2],[4,1,3,
1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,
2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
1,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,
2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,2],[3,1,2,2,
3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[
2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[1,1,2,
-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,
4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,
1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[2,1,1,1],[
3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,
2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[3,2],[1,1,2,-1,4,1,1,1,2,-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],[2,1,1,1],[4,1,2,3,1,1,3,2,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,
-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-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],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,
-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,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[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],[3,2,2,-2,1,1,3,2]],[[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],[2,1,4,1,3,-1,4,1,3,-1,
4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,2],[3,
1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[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]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,
-2]]],[[[2,-1,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,
4,-2,3,-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],[4,1,2,2,3,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,
-2,3,1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,
1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,
1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-3,1,
1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[2,1,1,1],[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,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-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],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,4,2,3,-1,4,1,2,-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]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,
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],[1,1,2,3],[
3,1,4,-2,3,-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],[3,1,2,1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,
2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,
-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,
2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[2,1,1,1],[
2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,
1,4,1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,
1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[3,
1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-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],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,-2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[2,2],[3,1,
2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1],[2,1,3,
-1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-2,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,3,1,2,2,4,1]]],[[[1,1,
2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,1,1,2,-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,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,5,-1,3,2,2,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,-1,2,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,-1],[3,1,2,-1,1,1,
2,1],[3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[2,
1,1,1],[2,2],[1,1,2,1,4,1,3,-1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-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],[2,1,3,2,4,1,3,2,2,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,
4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,1,1,2,-2,3,-1,4,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,
1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[1,
1,2,-1,3,2,1,1,2,-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,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,
3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,1],[2,
1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,1,3,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,
-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1]],[[2,2],[3,1,2,2,3,
1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[2,
1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,1,4,-1]],[[
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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],[2,1,1,1],[
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-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,3,1,1,2,1,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
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1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,4,-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,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,1,2,2,3,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,
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],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,
2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,
1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,
1,2,2,4,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[
1,1,2,1],[3,1,2,3,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-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,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1]],[[2,2],[1,1,2,1,3,1,
1,1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,3,-1]],[[1,1,
2,1],[2,1,1,1,2,-1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,
4,1,2,-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]],[[
1,1,2,1],[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,-1,2,
-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,1,2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,
4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[2,2],[3,1,2,2,3,1]],[[2,2],[
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,-1,3,2,4,1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,1,4,2]],[[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,-1,1,1,2,3]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-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],[3,1,4,-1,2,-1,4,-1,3,1,4,2]],[[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],[2,-1,3,-1,2,
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]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-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,-1,2,1,4,-1,3,-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],[3,1,2,2,4,
-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,2],[2,1,1,
1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[2,2],[1,1,2,1,3,1,
1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,
1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,
2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,
2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-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]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,
-1,2,-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,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,
-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,
2,3,1,2,1,1,1]]],[[[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]],[[2,1,1,1],[2,1,1,1,2,1,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,
-1]],[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,
-1,3,1,1,1,2,-1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,1,5,1,3,-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],[4,1,1,1,2,-2,3,1,
4,-1,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[
2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,
3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[
2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-3,1,
1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,
2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,
1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-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,-1,4,1,2,
-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[
1,1,2,3],[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,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,
2,1,1,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,
3,1,4,-1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,1],[3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,
1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,
3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,-1,1,
1,2,1,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,2],[
1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,
2,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,
-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,
1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-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],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,2,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,-1,4,2,3,1,2,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,
-1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,
1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,
2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,1,2,
1],[3,2],[1,1,2,-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,
-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,2,4,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,3,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,
2,4,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,
2]],[[2,1,1,1],[2,1,1,1,2,1,3,1,2,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,3,1,1,3,2,2,1]],[[1,
1,2,1],[3,1,2,1,3,1,2,3,1,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-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],[2,3,1,1,3,2,2,1]],[[1,1,2,1],[2,
2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,1,4,-1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,3,1,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,
3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,
2]],[[2,1,1,1],[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,-2,3,-1]],[[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],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,
2,1],[3,1,2,1,3,1,2,3,1,1]],[[2,1,1,1],[1,1,2,4,3,2]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,3,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-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],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,
2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,
1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,1,1,2,1,4,1,3,-1,4,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,
1,2,1,4,-1,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,
2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[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],[4,1,
3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[2,1,3,2,1,1,2,
3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-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],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,
2,2,-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],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[
2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1,2,-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,-1,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,
2,1],[1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,3,2,2,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[
1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,1,1,1],[2,2,1,1,2,1,
3,-2,2,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,
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],[3,1,2,1,
4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,2,4,-1,2,-1,4,-1]],[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,
1,1,2,-1,3,-1]],[[2,1,1,1],[2,1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,2,3,
1,2,2,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[3,1,1,1,
2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,2,-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],[2,2],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,
5,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,
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],[3,1,2,
2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-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],[2,2],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,
1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,
2,-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]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,
2,3,-1]]],[[[1,1,2,1],[3,2,2,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-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]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,
-1]]],[[[2,3,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,2,2,
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],[1,1,
2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-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],[2,1,4,1],[3,1,5,-1,4,1,5,1,3,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,
1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,
1,4,2,3,-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,
1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,2],[
3,1,2,2,3,1]],[[2,1,1,1,2,1],[3,2,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1,3,-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],[4,1,2,1,
4,1,3,-1,4,-1,3,-1,4,1,2,-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,-1,2,-1,4,2,3,-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],[4,2,2,-1,3,-1,4,1,3,
-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,
2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,
3,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,
3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,-2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,2,3,-1,4,1,2,-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],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,1,2,1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,
2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,
2,-1,3,1,1,1,2,-1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
1,2,-2,4,-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],[2,-1,4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,
1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,
3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[
1,1,2,3,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[2,1,1,1],[1,1,
2,4,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,
2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,-1,4,2,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,
4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,-1,3,1,4,1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,4,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,3,1,2,1,3,1,4,
1]]],[[[2,1,1,1,2,3,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,
3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[
2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-2,3,-2,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,
1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-2,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,
3,1,2,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,
2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[
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],[4,
1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-1]]],[[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,
3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,
1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,
2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,-1,
4,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[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,-1,3,2,4,1,3,1,2,1,4,2]]],[[[1,1,2,-1],[3,2,2,-2,1,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,
4,1,2,-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,
2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,
-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[
1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,
2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,
1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,
3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,
2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[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],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,
1,2,1,1,1,2,-2,4,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,
2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,1,1,1]]],[[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,
2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,-2,1,1,2,
2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[
2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,2],[
2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,
5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-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],[2,1,1,1],[3,2,2,1,4,
2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-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],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,
4,-1,3,-1,4,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,2,3,-1,4,1,2,-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],[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],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,
2,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,
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],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,
2,-2,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,
4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,
-2]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,4,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,4,1,2,1,4,
-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,1,2,1,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
1,3,1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,
1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,
2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,-3,1,1,2,-1]],[[
1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,
1,2,1],[3,2,2,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[
2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,1,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]]],[[[2,1,1,1,2,4,1,1]],[[1,1,2,1],[
2,1,1,1,2,-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]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,
3,-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],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,2],[1,1,2,
-1,4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-1,3,1,2,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,2,4,1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-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,-1,4,-1]]],[[[2,1,1,1],[2,2,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[
1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,
4,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,
1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,2,4,1,3,1,4,2]]],[[[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,-1,4,-1,3,-1,2,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-1,4,1,3,-1,2,-2]]],[[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,
3,1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,
1,4,1,2,-1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,2,4,1,3,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,2,1,4,1,3,-1,4,
1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,
4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]]],[[[2,1,1,
1],[3,2,2,-2,1,1,3,2]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,
2,2,3,1,2,1,1,1]],[[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],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,
2,-1,3,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-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,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,
3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,
1,1,1],[2,-1,3,-1,2,1,4,-1,3,-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],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,4,-1,3,1,5,1]]],[[[1,1,2,
1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,
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],[1,1,2,-3,
1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,
2,1,4,-1,3,-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],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,
2,-2,1,1,2,-4,1,1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,1,3,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,
2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,
2],[3,1,2,2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,-2,1,1,2,-4,1,
1]],[[1,1,2,1],[3,2,2,4,1,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,
1,2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,
2,-1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[
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1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,2,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,2],[1,1,
2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]]],[[[2,2],[3,1,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,
1,2,1],[2,3,3,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,2,1,
1,3,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2]]],[[[2,1,1,1],[2,1,3,
2,1,1,2,3]],[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,-3,1,
1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,
2]]],[[[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],[1,
1,2,4,3,2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,2,2,1,1]]],[[[2,2],[3,1,2,2,3,
1]],[[2,2,1,1,2,-3,1,1]],[[1,1,2,-3,1,1,2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,
2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,
1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,3,1,1,3,2,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,3,1,2,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,
-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,-1]]],[[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-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]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,3,1,1,2,-1]],[[1,1,2,1],[1,1,3,-1,
2,1,1,1,3,-1,2,2,1,1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,1,2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,
-1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
3,2,2,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,-2,1,1,2,2,1,
1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[
4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,2,4,1]]],[[[1,1,2,1],[3,
1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,1,1],[4,
1,3,2,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,
1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,2,1,4,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-1,3,1,2,2,4,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[
2,1,1,1],[3,1,2,3,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[2,1,
1,1],[1,1,2,-3,1,1,3,-2,2,-2]],[[1,1,2,1],[1,1,2,-2,3,-1,1,1,2,-1,3,1,2,2]],[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,
2,2,1,4,2]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,
1]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,
4,-1,2,-1]]],[[[2,1,1,1,2,1],[3,2,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]]],[[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,
4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-2]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[2,1,1,1],[2,
1,3,-1,1,1,2,1,3,1,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[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],[4,1,2,-2,3,-1,4,
2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[
1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[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],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]]],[[[2,2],[
3,1,2,2,3,1]],[[2,2,1,1,2,-3,1,1]],[[2,1,1,1,2,3,1,1,2,-1]],[[1,1,2,-3,1,1,2,
-2]]],[[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[
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3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,
2,1,1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,
-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,1,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,1,4,1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[
1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,2,1,
1,2,-2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-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,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
1,1,2,-2,3,1,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[2,1,1,1,2,1,
1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,1,1,2,-2,3,1]]],[[[1,1,2,
1],[1,1,2,-2,3,-1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[
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-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],[
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-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-3,3,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,1,1,2,-2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]]],[[[1,1,2,-2,1,1,2,2]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,2,3,-1,2,-1,3,-1]]],[[[2,2,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,
2,1,1,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-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],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,2,1,1,3,1,2,2,3,1]]],[[[2,2],[3,1,2,
2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,
2,2,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,
-1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,2],[2,1,1,1,3,-1,
2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,
4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,
2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,1],[3,1,2,2,
1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[
3,1,2,1,3,1,1,1,2,-2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,3,
1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,
1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,2,-1,3,1,4,-1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,2,1,1,3,
-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,
2,2,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[
1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,
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-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[
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-1]],[[2,1,1,1],[2,1,3,2,2,-1,1,1,3,1,2,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,
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2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,3,1,4,
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1]],[[2,1,1,1],[2,1,3,-1,1,1,2,3,3,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[
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1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
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-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]]],[[[
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1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[
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-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
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1,2,1],[3,2,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,2,-1]]],[[[2,1,1,1,2,3,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,-2,1,1,2,
-1,1,1,2,3]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[3,2,1,1,2,
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1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-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],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,
1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,
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-1,2,-1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-2,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,-3,
1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,-2,1,1,
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1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,-2]],[[1,1,2,-2],[3,2,1,1,2,
1]],[[1,1,2,1],[3,2,1,1,2,-2,3,-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,
-2],[3,2,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]]],[[[2,1,1,1],[3,2,
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-2],[3,1,1,1,2,-2,1,1,3,-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,
3,1,4,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,
2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,
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1,1,3,-1,2,1,1,1]]],[[[2,2],[3,2,2,1,1,1]],[[2,1,1,1],[2,1,1,1,2,2,3,2]]],[[[
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1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-1]],[[1,1,2,1],[
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1,1],[3,2,2,2,4,2]]],[[[2,1,1,1,2,-1],[3,1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,2,1,1,2,
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1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1]]],[[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-1,
2,-1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,
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3,-1,2,-1,3,2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,
2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[
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-2,4,1,2,-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],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,
1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,
1,4,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[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],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,1,3,
-1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,
1]]],[[[2,3,1,1,2,1,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[
2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,
1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
1,4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-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,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,
-2,3,1,4,1]]],[[[1,1]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[
3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-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],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,
1]]],[[[1,1,2,1],[2,-1,1,1,2,-2]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,
1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[2,1,1,1],[1,1,2,-2,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,1,1,2,-2,
3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[
3,1,4,-2,3,-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],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,2,1],[2,
1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,1,4,1,3,
1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,
3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,
-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,2,2,3,1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,1,3,-1,4,1,3,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[
2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,
1,1,1,2,-2,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,
2,4,-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],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,4,3,2]],[[1,1,2,
1],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[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,-3,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,
-1],[3,2,2,-2,1,1,2,1,1,1]],[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,-1]],[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,
1,1,3,1]],[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,2,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]]],[[[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],[2,1,4,-1,3,-1,4,
2,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,2,1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,-3,1,1],[4,
1,3,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-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],[
3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,
-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,
-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,2],[3,1,2,2,3,
1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,
2,1,3,2,2,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,
1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[
1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[2,
1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
2,2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,
-1,3,-1,4,1,2,1,4,1,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[2,1,3,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,
-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,1,4,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,
3,1,4,1]]],[[[1,1,2,1],[2,2],[4,1,3,1,1,1,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,
4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]]],[[[2,1,1,1],[2,2,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[
3,2,2,4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,-1,4,1,3,-2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,
1,1,2,-2,3,1,2,1,4,-1,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,
1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,
2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[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],[4,1,2,-1,
3,-2,4,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-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],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,3,1,2,1,3,1,4,-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],[2,1,1,1],[2,1,4,1,3,-1,4,1,
3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,
1,1,1],[1,1,2,-2,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1]],[[1,1,2,
-1,1,1,2,1,1,1,2,-1]],[[2,2],[3,1,2,2,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,-1,3,-2,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,
2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
4,1,2,-1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,
3,2]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,2,1,
1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,2,1,1,3,
-1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,
-1,4,-1,3,1,2,2]],[[1,1,2,1],[1,1,2,-2],[4,1,3,-1,2,1,1,1,3,-1,4,-1]]],[[[2,1,
1,1],[3,2,2,-2,1,1,3,2]],[[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],[4,1,1,1,2,-2,3,1,4,-1,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,2,3,1,1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,
4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,
3,2,2,1,4,-1]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,4,-1,3,1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]]],[[[2,2],[1,1,2,1,3,2,
2,1,1,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[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],[3,1,2,1,3,
1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,-1,4,
-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,2,2,-1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,-1,4,-1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,
1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,2,3,-1,2,-1,3,-1]],[[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],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,-1,1,1,
2,3]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,
-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,
-2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,4,1,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,
2,-1],[3,1,4,2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[
1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,
1,2,3,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,
4,1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-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],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,1,
2,2,3,1]],[[1,1,2,1],[3,1,2,3,1,1,3,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,
-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,-2,3,2,2,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,-1,2,
-2]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,2,2,1,4,2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,3,-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],[2,2,1,
1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,
1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,
1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,
-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,
1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,
1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,3,1,1,2,1,1,1]],[[1,1,2,1],[3,-2,2,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,
1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,
1],[3,2,2,2,3,1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,
2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,
-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]]],[[[
2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[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]],[[1,1,2,1],[3,2,2,1,
1,1,2,-1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,
1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,
2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,
-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,
2,-2,1,1,2,2,3,2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-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],[2,1,4,-1,3,-1,4,2,
3,1,2,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,
3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,
2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,3,-1,
2,1,1,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,
-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,
1],[3,2,2,4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,
2],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,2],[1,1,2,1,3,
2,2,1,1,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,3,1,1,2,
1,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[
3,2,2,2,3,1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,
-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[2,
1,1,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,1,2,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,4,
-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,
2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-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]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,
2,3,1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,
1,2,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,
-1,3,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,2,3,3,2]],[[1,
1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,2,4,
1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
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3,1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,1,1,
2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,
-1,4,1,3,1]]],[[[2,1,1,1],[3,2,2,-2,1,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-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,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,3,
2,2,3,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-2]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,2],[3,1,2,2,3,
1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]]],[[[
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1,2,-2,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,4,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-2,3,1,4,1,2,
-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,3]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,
4,1,3,-1]]],[[[2,1,1,1,2,-2,1,1]],[[1,1,2,1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,
1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1],[4,1,3,-1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,-1,3,2,4,1]]],[[[2,2],[2,1,1,1,3,-2]],[[1,1,2,-2,1,1,2,-4,
1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,
-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[5,1,3,1,4,1,3,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[
2,1,1,1],[1,1,2,-2,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,3,-1,4,
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,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[
3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,
4,-1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,1,1,2,-2,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-3,1,1,3,1,2,2,3,
-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],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,
4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,1,3,1,2,1,4,1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,2,4,1,2,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,3,1,1]],[[1,1,2,-2,1,1,2,
-4,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[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,-1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,
4,2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,2,4,1]]],[[[
1,1,2,1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[
3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,2,
1,1,1,2,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,
1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,
1,2,1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,2,4,1]],[[2,1,1,1],[2,
1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,
2,3,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,
3,1,1,1,2,-1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,1,1,2,-2,3,1,4,-1,3,-1,4,1,2,-1]]],[[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,
-2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,
-1,2,1,1,1]],[[2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[
2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,1,1,
2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2,4,-1]]],[[[2,1,1,1],[
3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,2,2,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,
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,-1,3,2,4,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,
1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,
3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,2],[3,1,2,2,3,1]],[[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,-1,3,2,4,-1]]],[[[2,1,1,1],[3,2,2,-2,
1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,3,-2]]],[[[1,1,2,-1],[3,1,1,1,2,-2,1,1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,2,1,1,3,-1]]],[[[2,1,1,1],[3,2,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,
4,1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,-2,1,1,2,
2,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,1,2,-1]],[[2,
1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,1,1,2,-2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,
1]]],[[[2,2,1,1,2,-1]],[[2,2],[3,1,2,2,3,1]]],[[[2,2,1,1,2,-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],[2,-1,3,-1,1,1,2,-2]],[[1,1,
2,-2,1,1,2,1,1,1]]],[[[2,2],[1,1,2,-2,1,1],[4,1,3,1,4,1,3,1]],[[2,2],[1,1,2,2,
1,1],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,2],[2,1,1,1,3,-1,
2,-1,1,1,3,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1]]],[[[
2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,-1,3,-1,2,-1]],[[1,
1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,
2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,-1],[3,1,1,1,
2,-2,1,1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,
1]],[[1,1,2,1],[3,2,2,1,3,1,1,1,2,-2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[
1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,
1,2,1],[3,2,2,1,1,1,2,2]]],[[[2,2],[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],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,2],[3,1,2,2,3,
1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,
2]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,
1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,-2],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]]],[[[2,2],[1,1,
2,1,3,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,3,1]]],[[[2,2],[1,1,2,1,
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2],[3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,
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2,1,1,2,1]]],[[[1,1,2,1],[2,-1,3,1,1,1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,2,
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1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
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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,
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1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,2]],[[1,1,2,1],[2,
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1],[3,1,2,3,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1]]],[[[2,2],[3,1,
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1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]],[[2,1,
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1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,
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2,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,
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2,1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
-1]]],[[[2,2],[3,1,2,2,3,1]],[[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],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
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1,2,-1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,
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4,1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,
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2,1,1,1],[4,1,2,1,4,1,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
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1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[
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1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,
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3,-1,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,-1,2,-1]]],[[[2,
1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,
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2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[3,2,2,4,1,1]],[[2,1,
1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,
-2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,2],[1,1,2,1,3,2,2,1,
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1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,3,1,1,2,1,1,
1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[2,2],[3,1,2,2,3,
1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
1,2,-1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,-2,2,1,3,1]],[[2,2],[1,1,
2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]]],[[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[3,2,2,-2,1,
1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-2]]],[[[1,1,2,-1,1,1,2,2,1,1,2,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[2,1,1,1,2,-2,1,1]],[[2,1,1,1,2,4,1,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,-1,1,1,2,1]],[[2,2],[
3,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,2,3,
1,1,3,-2]]],[[[1,1,2,-1,1,1,2,3]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,4,-1,3,-1,2,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,
-2,3,1,4,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,-2,1,1,2,-4,1,1]]],[[[2,1,1,1],[2,1,
3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,
1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-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],[1,1,2,1,3,
-1,2,-1,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1],[3,
1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,
2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,-1,1,1,2,
-2]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,3,1,1]]],[[[2,1,1,1,2,
1],[3,2,1,1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]]],[[[2,1,1,1],[3,2,2,-2,1,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,
2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[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]]],[[[1,1,
2,3,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,1,1,1],[2,
2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-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]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,-2,3,-1]],[[
1,1,2,1],[2,1,3,2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,
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1],[2,1,1,1],[2,-1,3,-1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,
-1,2,1,1,1]],[[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,
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,-2,
3,-1,4,1,3,1,2,1,3,1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[
3,2,2,4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,
-1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,3,1,1]],[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[
1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[2,1,1,
1],[2,-2,1,1,2,2]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,2,2,1,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,
2,-1,3,-2,4,-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],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[2,2,1,
1,3,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2]]],[[[1,1,2,1],[2,2,1,
1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,2,2,4,
1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-2,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,
1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,2,2,2,1,1,3,
-1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]],[[2,1,1,1],[
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1,2,1,1,1,2,2]],[[2,1,1,1],[2,1,3,2,1,1,2,3]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,2]]],[[[2,-1,1,1,2,1]],[[2,1,1,1,2,-3,
1,1,2,1,1,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,1,1,2,
-1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1,2,2]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[2,1,1,
1,3,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,1,1,1,
2,-3,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,-2,2,1,3,
1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,1,1,1,2,-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],[2,1,4,-1,3,-1,4,
1,3,-2]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[2,2],[2,1,1,1,3,1,1,1,2,
1,3,1]],[[2,2],[1,1,2,1,3,1,2,1,1,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,
1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-1]],[[2,2],[3,1,
2,2,3,1]],[[1,1,2,1],[3,2,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
1]]],[[[2,2],[3,1,2,1,1,1,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2,2,1]],[[1,1,
2,1],[3,2,2,2,3,1,2,1,1,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,2,
3,1]]],[[[2,-2,1,1,2,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-2]]],[[[1,1,2,2,1,1,2,-3]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,
-2,3,1]]],[[[2,2,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,2,2,1,1,1,
2,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,-2,1,1,2,2,1,1,2,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,2,1,4,1,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,1,
1,1,2,-3,1,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2],[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,-2,1,
1,2,-4,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
2],[4,1,5,-1,4,1,5,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
1]],[[1,1,2,1],[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]]],[[[2,-1,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,1,
1,2,-2,3,1,1,1]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1]]],[[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[1,1,
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1],[3,2,2,4,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,
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2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,
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1]]],[[[2,3]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
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1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-3,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,
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2,1,1,2,-3,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,4,1,3,1]],[[1,
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2],[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,-2,3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,
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3,-1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,1]],[[2,1,1,1],[3,1,
2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]]],[[[1,
1,2,2,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,2],[3,1,2,2,3,
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1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,-1,4,1,2,-1]]],[[[2,2],[
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3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1]]],[[[2,1,1,1],[2,1,
3,2,1,1,2,3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,2]],[[1,1,2,1],[1,1,2,
-2],[4,1,3,1,4,1,3,1]]],[[[2,2],[3,1,2,2,3,1]],[[2,2],[1,1,2,1,3,2,2,1,1,
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1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,-1]]],[[[2,2],[3,1,2,2,3,
1]],[[2,2],[2,1,1,1,3,2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,
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1],[2,1,1,1],[2,1,3,2,4,2]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[2,2],[
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1],[2,1,3,2,4,2]]],[[[2,2],[3,1,2,1,1,1,3,-1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,1,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,
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1,1,2,-3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,
2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[3,
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1,2,2,3,1]],[[1,1,2,2,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,2]]],[[[1,1,2,1],[
2,-1,3,1,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,
1,2,1],[2,1,1,1,3,-2,2,2]]],[[[2,3]],[[1,1,2,1],[2,-1,3,1,1,1]]],[[[2,1,1,1,2,
-2]],[[2,-2,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]]],[[[2,1,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,
1]]],[[[2,-2,1,1,2,1]],[[2,2,1,1,2,-1]],[[2,1,1,1],[3,2,2,-2,1,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]]],[[[2,1,1,1,2,-2]],[[2,-2,1,1,2,1]],[[1,1,2,1],[3,1,2,
1,1,1,2,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,2],[3,1,2,2,3,1]],[[2,1,1,1,2,
2,1,1,2,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1]],[[1,1,2,2,1,1,2,-3]]],[[[1,1,
2,-2,1,1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,2,1,1]],[[2,2],[3,1,2,2,3,1]],[[1,1,
2,1],[2,2,3,2,2,1]],[[2,1,1,1,2,3,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,
3,1]],[[2,2],[3,1,2,2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,2],[1,1,2,
1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,2,2,2,1,1]],[[2,1,1,1],[2,1,1,1,2,2,3,
2]]],[[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[3,2,1,1,2,-1]],[[2,2],[1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[2,1,3,2,2,2,1,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,-1,1,1,2,1,1,
1]]],[[[2,1,1,1,2,-2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,2],[3,1,2,2,3,1]],[[2,
2,1,1,2,-2,1,1,2,1]]],[[[2,2,1,1,2,-1]],[[2,-2,1,1,2,1]],[[2,1,1,1],[3,2,2,-2,
1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,-3]],[[1,1,2,-1,1,1,
2,1]],[[1,1,2,1],[3,1,2,1,3,1]]],[[[1,1]],[[2,-1,1,1,2,1]],[[2,2,1,1,2,-2,1,
1]],[[2,2],[3,1,2,2,3,1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,
-1,3,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-2]]],[[[2,1,1,1]],[[2,2],[1,1,2,1,3,
2]],[[1,1,2,-3,1,1,2,2]]],[[[2,-2,1,1,2,1]],[[2,2,1,1,2,-1]],[[2,2],[3,2,1,1,
2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1,1,1,2,1,
1,1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,2,1,1,2,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-1,3,1,2,
1]],[[2,1,1,1,2,-2]],[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,-1,1,1,2,-1,
4,-1]]],[[[1,1,2,-1]],[[2,2],[1,1,2,1,3,2]],[[1,1,2,1],[3,-2,2,2]]],[[[1,
1]],[[2,3]],[[2,-1,1,1,2,1]]],[[[1,1,2,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[3,-2,
2,2]]],[[[2,3]],[[1,1,2,1],[2,-1,1,1,2,-1]],[[1,1,2,-2,1,1]]],[[[2,1,1,1],[2,
-1,1,1]],[[2,2]]],[[[1,1]],[[2,1]]]]);
AFLT( "2^6:3.S6","M24",[1,3,3,3,2,2,2,4,4,5,6,6,8,8,8,7,7,7,10,10,10,9,9,9,12,
13,12,12,12,13,13,13,12,13,11,11,11,14,14,14,14,14,15,15,15,15,16,16,16,17,17,
17,18,21,21,20,20,20,19,22,22,24,24,23,23,23,26,26,31,31,27,28,27,27,28,29,30,
29,29,30,30,33,33,35,35,35,35,38,39,40,41,39,38,38,39,40,40,38,41,36,36,36,36,
37,37,37,32,43,43,43,44,44,44,42,42,42,42,34,45,45,45,45,45,46,46,46,46,49,49,
49,49,49,47,47,47,47,47,48,48,48,48,48,48,50,50,50,51,51,51,53,54,53,53,54,56,
56,56,57,57,57,55,55,52,52,52,52,58,58,58,58,59,59,59,59,59,65,65,63,63,63,64,
64,64,64,66,67,67,66,67,67,66,67,68,68,68,69,69,69,68,62,62,62,62,62,60,60,61,
61,70,70,71,71,71,71,73,74,74,74,72,75,76,77,78,79,80,82,83,86,86,87,88,87,90,
90,85,84,84,91,93,93,92,92,95,94,98,99,99,97,97,97,100,100,96,96,96,101,101,
103,102,102,105,104,104,107,109,108,110,114,115,114,115,116,116,116,118,118,
112,112,111,111,113,113,117,117,117,119,119,119,120,120,120,120,121,121,122,
122,123,123,123,124,124,125,125,125,128,128,128,129,129,133,133,133,134,134,
134,126,126,126,127,127,130,130,130,131,131,135,135,135,132,132,136,136,137,
137,137,141,140,140,138,138,142,142,142,139,144,143,147,148,148,148,147,145,
146,146,145,146,151,152,152,151,150,150,150,149,149,153,153,153,215,215,216,
216,216,208,203,203,203,202,202,202,205,205,205,204,204,204,206,206,206,207,
207,207,212,211,212,211,213,213,214,214,214,192,192,193,194,193,194,195,195,
195,209,209,209,210,210,210,196,196,197,197,198,198,198,199,199,199,200,200,
200,201,201,201,191,191,191,217,217,217,220,220,220,219,219,218,221,154,154,
154,154,155,155,158,158,158,158,157,157,157,157,159,159,160,160,160,160,160,
164,164,161,161,161,161,161,162,163,162,163,165,165,165,165,166,166,166,175,
175,175,175,176,176,176,177,177,177,156,156,156,156,156,167,167,167,167,167,
168,168,169,169,169,171,171,171,172,172,172,173,173,173,174,174,178,178,170,
170,170,187,187,187,188,188,179,179,179,180,180,180,181,181,181,181,185,185,
185,185,185,186,186,182,182,182,182,182,183,183,183,184,184,184,183,189,189,
190,190,190,190,222,222,222,223,223,223,223,223,223,223,225,225,225,225,225,
225,225,226,224,224,224,224,224,224,224,227,227,229,228,228,231,230,232,235,
236,234,233,237,238,240,240,241,239,242,244,243,245,246,252,252,253,253,257,
257,258,258,260,254,256,255,261,259,259,262,262,266,263,264,264,265,267,267,
268,268,268,269,278,278,271,272,271,273,274,273,279,275,277,276,275,284,283,
283,280,280,281,282,285,288,288,287,286,289,289,292,291,300,300,299,298,298,
297,294,294,293,293,296,295,301,301,302,303,304,305,306,306,307,307,308,308,
309,309,310,310,310,320,320,320,321,321,322,322,312,312,314,314,314,313,313,
315,315,316,316,316,317,317,317,318,318,318,319,319,311,311,311,323,323,323,
324,324,324,325,325,326,326,326,335,327,327,329,329,328,328,330,330,330,333,
333,333,334,334,331,331,331,332,332,332,346,346,338,338,338,336,336,337,340,
340,340,341,341,341,339,339,342,342,343,343,343,344,344,344,345,345,352,352,
352,351,351,353,353,354,354,354,349,349,349,348,348,347,347,350,350,350,360,
360,360,356,356,358,357,359,355,355,361,362,362,362,363,363,364,364,365,365,
365,366,366,366,367,367,367,368,369,370,370,371,372,372,373,373,381,381,383,
383,382,382,384,384,385,385,385,374,374,374,376,376,375,375,375,377,377,377,
380,380,378,378,379,379,386,386,387,387,387,388,388,388,389,389,390,391,392,
392,392,393,393,394,395,395,406,407,405,405,405,404,397,396,396,396,399,399,
399,399,399,400,400,400,400,400,401,403,403,398,402,402,402,402,402,430,430,
432,432,432,431,431,429,429,433,412,412,412,413,413,413,413,413,410,409,409,
409,409,411,411,411,411,408,408,422,422,423,423,425,425,426,426,426,424,424,
424,416,416,416,417,417,417,418,418,418,419,419,419,414,414,415,415,421,421,
420,420,427,427,428,435,434,437,437,436,436,438,438,438,439,439,440,440,442,
441,441,441,457,457,457,458,458,458,460,460,460,461,459,463,462,451,451,451,
452,452,452,450,450,450,453,468,468,468,466,466,466,467,467,467,469,469,470,
470,470,443,443,443,444,444,444,445,446,447,447,447,449,448,454,455,464,465,
456,456,483,482,482,482,481,481,481,486,486,485,485,487,487,487,484,484,491,
491,491,492,492,492,488,488,488,489,489,489,490,490,490,493,493,493,494,494,
496,496,496,495,495,495,504,506,505,503,475,475,475,472,472,472,471,478,478,
477,477,474,474,474,473,473,473,476,476,476,479,479,479,480,480,480,501,501,
498,498,497,497,497,500,499,499,499,502,515,514,512,513,510,509,508,507,511,
516,518,518,520,519,522,523,524,525,526,529,532,532,531,533,530,534,535,535,
537,537,541,540,542,544,545,543,539,538,547,548,549,546,546,551,559,559,560,
560,561,561,562,563,562,567,568,569,569,570,571,573,572,564,554,554,555,555,
558,558,552,553,556,557,565,565,566,574,575,575,576,577,577,578,580,581,581,
579,582,583,584,586,585,585,587,588,589,591,590,594,599,598,597,592,600,601,
601,602,603,605,604,610,611,613,615,616,618,619,620,623,621,622,647,647,648,
648,649,649,645,646,650,651,652,652,652,641,640,640,642,642,644,644,644,643,
624,624,626,626,626,625,625,627,627,628,628,629,629,630,630,631,631,632,638,
638,638,639,639,633,634,634,634,635,636,636,637,657,659,658,655,653,654,654,
656,675,675,674,672,672,673,673,676,676,683,684,685,688,688,688,689,689,687,
687,687,692,692,692,686,686,690,690,691,693,677,677,678,678,679,679,679,682,
682,682,680,680,680,681,681,681,699,700,696,696,697,697,695,694,694,698,660,
661,661,701,701,668,668,663,663,662,662,664,664,666,667,667,667,665,665,670,
670,670,671,671,669,669,703,704,704,704,705,705,705,706,709,709,709,708,708,
707,707,707,702,734,734,734,710,714,714,714,711,711,711,713,712,712,712,722,
722,722,720,720,720,725,725,725,723,723,723,726,726,726,728,729,730,727,727,
727,724,721,721,721,733,718,719,717,732,732,731,731,731,715,716,716,716,736,
735,735,737,737,737,739,739,738,738,748,747,742,742,742,744,743,745,745,745,
746,740,740,740,741,741,741,749,768,769,764,765,765,766,766,767,767,767,752,
752,753,753,751,751,751,750,754,754,761,761,759,760,760,758,758,757,757,762,
762,762,763,763,763,770,755,756,783,783,783,784,784,784,786,785,799,799,799,
800,800,800,801,801,801,802,802,802,797,797,798,796,796,795,803,803,803,782,
775,774,773,772,771,777,776,778,779,781,780,812,812,812,810,810,810,811,811,
811,815,813,814,788,789,787,790,806,804,805,807,808,809,824,823,821,822,794,
791,792,793,819,820,817,816,818,826,825,829,828,828,831,839,836,836,837,834,
835,835,832,842,844,846,847,845,848,848,849,849,850,851,853,855,855,855,856,
857,857,854,852,859,860,861,861,862,865,864,866,866,872,872,873,867,871,870,
868,869,874,879,876,876,876,878,878,880,875,881,882,905,908,907,906,906,901,
902,902,904,903,891,893,894,892,895,896,898,898,897,899,899,890,888,889,900,
884,886,887,887,885,910,912,913,915,918,917,916,922,923,924,930,926,925,928,
933,934,934,935,936,937,938,938,940,941,943,943,942,942,942,944,944,945,945,
946,946,946,939,932,949,950,948,948,947,952,954,953,953,953,951,984,984,985,
986,986,987,987,983,983,960,961,956,956,955,955,958,959,957,957,957,962,966,
968,968,964,965,963,963,967,970,970,969,969,971,971,971,973,972,974,974,974,
975,976,977,978,978,978,988,979,979,981,981,980,980,982,1010,1008,1008,1008,
1006,1006,1006,1005,1007,1009,993,992,992,992,990,990,991,989,989,989,994,994,
997,997,997,999,998,998,998,1000,1001,1002,1002,1002,1003,1003,1003,995,996,
1004,1019,1020,1017,1017,1017,1018,1012,1011,1013,1016,1015,1014,1021,1022,
1023,1024,1028,1027,1029,1025,1026,1030,1030,1030,1031,1047,1048,1050,1049,
1043,1044,1045,1042,1038,1037,1039,1040,1046,1046,1046,1035,1033,1034,1032,
1041,1041,1041,1036,1051,1053,1054,1052,1056,1060,1059,1057,1057,1062,1063,
1065,1074,1073,1075,1076,1077,1079,1080,1081,1082,1087,1088,1090,1083,1086,
1101,1103,1102,1102,1091,1094,1095,1096,1097,1097,1098,1099,1100,1093,1093,
1092,1115,1116,1117,1127,1128,1124,1125,1126,1112,1111,1110,1119,1120,1118,
1121,1114,1104,1130,1106,1108,1131,1136,1136,1136,1133,1133,1133,1134,1137,
1132,1138,1139,1141,1140,1145,1146,1147,1149,1142,1144,1154,1156,1152,1150,
1158,1158,1157,1159,1160,1162,1163,1164,1165,1170,1169,1167,1168,1171,1175,
1173,1174,1177,1176,1205,1206,1204,1204,1185,1184,1182,1183,1191,1191,1193,
1194,1194,1192,1195,1196,1202,1201,1186,1187,1197,1189,1189,1190,1178,1180,
1179,1179,1181,1181,1198,1200,1199,1203,1188,1207,1209,1209,1209,1210,1211,
1211,1211,1208,1219,1217,1218,1216,1214,1215,1213,1212,1228,1227,1225,1226,
1221,1223,1224,1220,1230,1230,1233,1235,1234,1237,1236,1248,1247,1249,1250,
1250,1252,1251,1254,1253,1253,1256,1257,1255,1259,1285,1286,1284,1281,1282,
1283,1292,1293,1291,1261,1260,1262,1265,1278,1279,1277,1280,1294,1295,1295,
1296,1289,1288,1290,1271,1298,1269,1300,1297,1273,1267,1263,1264,1274,1275,
1302,1303,1306,1307,1309,1313,1314,1311,1318,1320,1319,1324,1325,1322,1323,
1328,1327,1326,1329,1330,1335,1331,1332,1336,1333,1334,1337,1338,1339,1340,
1343,1344,1346,1348,1350,1349,1356,1358,1362,1363,1361,1360,1366,1364,1368,
1367,1376,1375,1374,1373,1369,1371,1371,1370,1370,1372,1378,1379,1382,1381,
1383,1385,1384,1389,1391,1394,1396,1397,1398,1399,1400,1406,1405,1404,1403,
1401,1402,1408,1410,1420,1422,1421,1426,1425,1423,1439,1440,1436,1435,1432,
1431,1437,1438,1430,1429,1428,1433,1441,1443,1444,1445,1446,1447,1450,1453,
1451,1454,1455,1456,1466,1470,1471,1468,1472,1474,1473,1476,1475,1478,1477,
1479,1483,1487,1486,1485,1481,1489,1492,1494,1495,1496,1498,1497,1502,1503,
1506,1505,1508,1513,1514,1520,1523] );
AFLT( "2^6:3.S6","HE",[1,2,3,2,3,2,3,4,5,4,6,8,9,11,13,7,11,12,9,12,7,8,6,8,
12,11,13,12,9,13,12,11,13,7,10,10,13,13,12,13,12,10,15,15,15,14,16,14,16,14,
16,15,17,19,21,18,20,21,19,20,19,22,22,23,22,23,30,37,27,27,29,34,29,36,35,35,
30,36,40,39,39,33,38,28,30,39,37,28,39,35,31,28,37,30,39,36,34,43,37,36,36,35,
29,38,33,42,32,40,35,40,42,42,38,41,43,43,37,41,41,41,43,43,41,45,48,48,44,48,
45,45,48,48,47,46,47,47,46,46,47,46,47,46,55,44,48,49,55,47,53,51,53,55,51,55,
50,50,52,49,49,44,54,54,50,52,52,55,56,56,56,55,51,46,55,56,52,60,60,59,61,66,
58,58,58,58,62,57,57,57,63,62,63,63,57,59,66,63,66,65,67,57,62,63,63,66,61,59,
65,66,64,64,67,67,67,66,68,70,70,70,69,71,73,72,74,75,76,80,86,82,77,80,82,81,
84,79,80,81,80,85,87,89,90,88,87,88,95,91,92,92,96,94,93,91,94,95,96,92,91,97,
98,97,100,99,100,104,105,109,107,110,106,113,111,116,114,118,108,109,112,112,
111,111,117,119,113,110,116,114,114,116,114,116,113,118,115,115,119,117,118,
118,116,121,121,132,132,132,122,122,124,125,131,120,123,127,129,126,123,123,
127,126,129,126,124,124,122,133,131,120,127,123,130,130,128,128,131,125,133,
135,137,138,136,136,138,137,138,134,139,140,142,143,149,146,145,141,144,144,
141,144,145,146,143,142,148,148,148,147,149,147,143,149,154,177,166,163,178,
152,158,158,158,159,170,178,168,168,168,160,159,170,177,154,169,162,176,172,
156,153,156,153,151,151,167,167,167,155,155,163,174,166,178,166,159,178,161,
161,161,164,164,164,160,170,169,177,150,162,176,162,157,150,157,165,175,174,
178,170,157,162,175,165,176,175,176,165,150,172,176,171,173,185,185,185,180,
190,190,187,187,187,187,186,201,202,199,183,183,186,201,188,202,199,192,195,
188,186,202,201,199,194,205,197,209,184,195,204,213,213,211,211,180,180,180,
185,196,196,196,210,212,212,179,189,200,200,203,188,202,201,199,209,191,193,
191,193,184,189,179,200,203,181,179,205,202,209,181,203,182,182,184,193,204,
198,198,198,208,206,197,194,209,195,204,192,213,211,213,204,200,179,179,200,
189,207,203,199,186,188,201,202,197,188,209,203,200,207,210,206,208,210,210,
212,209,214,215,215,219,216,219,216,219,216,216,219,216,219,216,219,216,219,
218,215,214,215,215,215,215,214,220,217,221,217,220,223,224,222,227,226,228,
225,232,230,236,235,234,234,237,241,240,238,239,249,251,254,261,252,254,253,
257,256,259,264,261,260,255,262,266,257,263,265,267,261,261,268,258,267,254,
261,253,270,272,271,281,271,281,270,278,273,274,279,281,276,282,277,272,278,
281,280,275,277,285,287,284,287,284,286,292,294,298,297,297,300,299,299,288,
290,289,291,288,291,296,295,296,302,307,309,311,311,312,312,310,312,314,314,
326,326,326,313,323,316,325,322,318,318,319,319,315,315,317,320,320,327,330,
329,329,329,330,327,328,317,317,315,321,328,316,322,323,313,316,323,322,325,
316,324,324,328,321,330,333,332,365,338,365,344,358,352,352,352,367,367,367,
366,369,358,350,344,364,364,364,336,360,331,331,331,334,334,335,349,349,349,
343,343,343,347,347,353,353,365,332,338,369,348,366,370,368,351,357,368,345,
357,341,360,336,360,341,337,337,337,340,340,342,342,362,362,362,346,346,346,
348,369,339,354,363,350,358,356,351,345,357,359,361,355,365,368,361,351,357,
370,368,361,368,359,371,372,375,376,373,374,374,376,375,378,378,386,386,383,
382,393,389,390,390,390,377,384,394,388,394,379,384,377,384,395,394,379,384,
380,380,387,387,382,383,381,381,381,391,391,391,389,393,385,392,394,388,377,
395,394,396,397,397,407,409,408,408,408,406,400,398,404,404,398,398,404,404,
404,401,401,405,401,405,402,399,403,403,405,405,401,401,405,410,414,411,411,
411,413,413,414,410,412,441,437,442,442,437,437,442,441,439,437,441,442,442,
438,438,438,438,440,440,418,427,415,428,420,429,415,421,428,427,424,418,417,
417,417,423,423,423,426,426,426,419,419,419,424,427,421,428,416,416,422,422,
429,420,425,433,431,432,432,430,430,434,434,434,435,436,436,435,443,444,444,
444,475,473,471,471,484,473,491,491,472,488,486,489,493,473,475,484,484,475,
471,472,472,491,497,492,474,483,474,483,479,476,476,482,485,494,477,494,485,
479,483,492,492,474,479,480,478,482,482,476,495,498,481,490,487,496,477,494,
455,448,460,458,456,445,459,446,459,450,460,458,448,453,453,458,447,447,447,
454,454,454,452,452,452,451,451,451,457,457,457,449,449,449,445,456,459,446,
456,448,450,460,506,505,504,507,468,468,468,461,469,470,467,465,469,463,470,
466,466,466,464,464,464,462,462,462,469,461,465,463,470,461,503,500,500,503,
502,502,502,501,499,499,499,508,516,515,513,514,511,509,510,512,517,518,525,
527,523,523,532,530,535,536,537,543,546,546,547,545,549,545,544,546,554,551,
557,552,558,557,559,555,557,560,563,561,562,553,558,565,580,594,575,566,567,
569,581,566,587,573,581,569,567,584,577,581,582,578,570,568,586,576,576,574,
579,590,571,583,572,591,592,593,585,568,588,587,581,595,596,597,598,600,599,
604,608,603,602,605,601,608,608,602,606,615,613,612,611,609,617,618,619,618,
625,626,627,631,632,634,635,636,641,642,644,645,643,646,669,675,671,675,673,
675,668,674,670,672,671,669,675,665,664,667,663,663,667,664,667,666,648,648,
656,656,656,654,655,661,661,658,658,647,653,649,653,650,650,651,653,649,647,
652,653,660,659,659,659,657,655,654,662,680,681,682,676,677,679,679,678,720,
721,723,722,722,719,719,721,720,695,694,709,699,708,697,707,714,701,699,708,
713,713,711,698,698,714,707,704,716,696,706,693,706,696,706,693,711,713,711,
697,699,701,697,701,708,703,715,702,712,712,702,705,700,700,710,717,718,718,
724,724,685,690,686,686,684,684,683,690,687,690,683,685,692,689,691,691,691,
688,688,689,692,750,754,753,753,752,755,755,756,752,755,752,751,757,754,753,
754,757,749,749,749,726,735,733,733,735,733,735,728,736,739,739,746,738,738,
746,738,746,730,737,730,734,748,748,730,737,737,743,744,732,747,729,747,740,
734,748,734,745,731,727,741,725,742,729,729,747,742,736,739,736,791,789,792,
788,788,788,790,790,792,789,766,768,767,765,769,770,764,765,771,769,772,767,
769,771,767,771,765,773,759,761,763,762,762,758,758,760,760,760,774,774,776,
778,777,777,777,775,778,776,783,787,782,785,787,784,784,781,781,786,786,786,
787,783,785,793,780,779,810,810,810,813,813,813,812,811,795,795,795,798,798,
798,797,797,797,801,801,801,796,802,799,800,802,794,802,800,796,826,821,828,
823,818,825,827,822,819,824,829,820,804,805,805,803,803,803,805,804,804,837,
831,830,806,808,809,807,845,843,844,842,846,847,841,839,838,840,816,815,817,
814,832,834,833,835,836,849,848,861,863,864,861,855,858,856,855,869,870,867,
869,876,877,886,897,888,885,898,889,898,891,890,893,885,898,889,897,894,898,
896,900,907,904,905,905,904,903,901,908,910,917,909,914,915,916,912,911,913,
925,919,918,918,918,924,924,921,922,926,927,953,956,955,952,954,937,938,935,
934,936,943,939,949,941,949,942,940,946,944,945,942,948,947,949,951,933,929,
930,931,932,958,959,962,963,971,972,970,979,980,982,984,977,975,978,994,991,
994,993,992,989,990,990,996,997,1001,1001,1002,999,999,1000,1000,995,998,999,
1002,1002,998,988,1008,1009,1010,1010,1007,1003,1005,1006,1004,1006,1006,1029,
1029,1030,1033,1031,1031,1033,1032,1032,1017,1016,1018,1020,1015,1020,1021,
1019,1018,1015,1020,1022,1024,1025,1023,1026,1027,1023,1025,1028,1034,1043,
1037,1043,1040,1040,1039,1036,1035,1037,1034,1043,1038,1042,1041,1039,1040,
1039,1044,1011,1011,1012,1013,1013,1012,1014,1065,1066,1067,1066,1067,1067,
1066,1063,1068,1064,1075,1071,1071,1073,1074,1074,1076,1073,1071,1073,1072,
1072,1045,1052,1048,1046,1048,1049,1045,1050,1053,1048,1052,1049,1045,1049,
1052,1051,1047,1054,1056,1055,1057,1057,1057,1058,1070,1069,1080,1078,1077,
1079,1061,1062,1060,1059,1083,1085,1087,1086,1084,1082,1082,1082,1081,1106,
1104,1105,1107,1097,1095,1096,1094,1101,1099,1100,1102,1103,1103,1103,1092,
1090,1091,1089,1093,1093,1093,1088,1098,1112,1111,1110,1111,1123,1123,1121,
1122,1131,1133,1135,1147,1148,1149,1150,1151,1156,1154,1153,1154,1161,1164,
1163,1157,1160,1180,1177,1179,1179,1170,1165,1167,1174,1169,1171,1170,1175,
1172,1171,1169,1176,1194,1193,1195,1190,1191,1185,1187,1188,1200,1203,1201,
1182,1181,1184,1181,1208,1204,1199,1197,1206,1209,1216,1223,1216,1223,1216,
1223,1218,1217,1215,1224,1220,1225,1222,1211,1213,1210,1214,1229,1228,1231,
1236,1233,1234,1239,1237,1241,1238,1240,1249,1250,1251,1254,1259,1260,1257,
1256,1261,1264,1266,1265,1268,1267,1290,1289,1291,1291,1278,1276,1277,1275,
1269,1274,1273,1274,1269,1272,1271,1270,1287,1288,1284,1283,1292,1286,1286,
1285,1279,1282,1281,1280,1280,1281,1293,1294,1295,1296,1298,1297,1307,1309,
1307,1308,1307,1309,1309,1310,1300,1302,1299,1301,1303,1306,1305,1304,1313,
1312,1316,1315,1318,1318,1321,1320,1326,1325,1334,1336,1338,1340,1342,1354,
1355,1359,1357,1359,1358,1360,1362,1361,1361,1364,1363,1366,1367,1373,1374,
1376,1385,1386,1388,1390,1391,1389,1371,1369,1372,1397,1378,1377,1377,1379,
1394,1393,1393,1395,1382,1384,1383,1400,1409,1401,1410,1415,1406,1405,1404,
1403,1414,1412,1419,1417,1423,1421,1420,1427,1426,1425,1436,1438,1439,1444,
1445,1446,1447,1448,1453,1454,1452,1451,1455,1449,1450,1456,1457,1458,1459,
1461,1460,1464,1466,1467,1468,1474,1476,1478,1486,1494,1489,1490,1491,1492,
1495,1496,1505,1504,1506,1507,1499,1500,1502,1498,1503,1503,1498,1501,1511,
1509,1515,1512,1514,1516,1518,1522,1524,1526,1529,1533,1537,1536,1535,1542,
1543,1544,1540,1541,1538,1547,1554,1561,1562,1563,1565,1564,1567,1573,1572,
1568,1569,1576,1577,1571,1570,1574,1575,1578,1580,1582,1584,1585,1588,1593,
1590,1597,1600,1598,1601,1603,1604,1613,1616,1615,1618,1620,1622,1624,1631,
1629,1634,1632,1636,1648,1645,1642,1643,1647,1641,1651,1653,1656,1657,1666,
1663,1669,1671,1675,1673,1677,1685,1686,1689,1691] );
AFLT( "2^6:3.S6","HE",[1,2,3,2,3,2,3,4,5,4,6,9,8,10,13,7,10,12,8,12,7,9,6,9,
12,10,13,12,8,13,12,10,13,7,11,11,13,13,12,13,12,11,15,15,15,14,16,14,16,14,
16,15,17,19,21,18,20,21,19,20,19,22,22,23,22,23,29,37,28,28,30,33,30,36,35,35,
29,36,41,38,38,34,39,27,29,38,37,27,38,35,32,27,37,29,38,36,33,42,37,36,36,35,
30,39,34,43,31,41,35,41,43,43,39,40,42,42,37,40,40,40,42,42,40,45,47,47,44,47,
45,45,47,47,48,46,48,48,46,46,48,46,48,46,55,44,47,50,55,48,54,52,54,55,52,55,
49,49,51,50,50,44,53,53,49,51,51,55,56,56,56,55,52,46,55,56,51,59,59,60,61,66,
57,57,57,57,62,58,58,58,63,62,63,63,58,60,66,63,66,64,67,58,62,63,63,66,61,60,
64,66,65,65,67,67,67,66,69,70,70,70,68,71,73,72,74,75,76,80,85,81,77,80,81,82,
83,79,80,82,80,86,87,90,89,88,87,88,95,91,92,92,96,93,94,91,93,95,96,92,91,97,
98,97,100,99,100,104,106,110,108,109,105,112,111,117,115,119,107,110,113,113,
111,111,116,118,112,109,117,115,115,117,115,117,112,119,114,114,118,116,119,
119,117,120,120,131,131,131,123,123,124,126,132,121,122,127,128,125,122,122,
127,125,128,125,124,124,123,133,132,121,127,122,130,130,129,129,132,126,133,
134,136,138,137,137,138,136,138,135,140,139,141,144,149,146,145,142,143,143,
142,143,145,146,144,141,147,147,147,148,149,148,144,149,155,176,167,162,178,
153,159,159,159,158,170,178,169,169,169,161,158,170,176,155,168,163,177,171,
157,152,157,152,150,150,166,166,166,154,154,162,173,167,178,167,158,178,160,
160,160,165,165,165,161,170,168,176,151,163,177,163,156,151,156,164,175,173,
178,170,156,163,175,164,177,175,177,164,151,171,177,172,174,186,186,186,179,
191,191,188,188,188,188,185,201,202,200,184,184,185,201,187,202,200,192,196,
187,185,202,201,200,193,206,198,209,183,196,203,213,213,210,210,179,179,179,
186,195,195,195,211,212,212,180,189,199,199,204,187,202,201,200,209,190,194,
190,194,183,189,180,199,204,182,180,206,202,209,182,204,181,181,183,194,203,
197,197,197,207,205,198,193,209,196,203,192,213,210,213,203,199,180,180,199,
189,208,204,200,185,187,201,202,198,187,209,204,199,208,211,205,207,211,211,
212,209,214,216,216,219,215,219,215,219,215,215,219,215,219,215,219,215,219,
217,216,214,216,216,216,216,214,221,218,220,218,221,224,223,222,226,227,228,
225,232,230,236,235,234,234,237,241,240,238,239,249,252,253,261,251,253,254,
257,255,260,265,261,259,256,263,267,257,262,264,266,261,261,269,258,266,253,
261,254,271,272,270,281,270,281,271,277,274,273,280,281,275,283,278,272,277,
281,279,276,278,286,287,284,287,284,285,292,293,298,297,297,300,299,299,288,
289,290,291,288,291,296,295,296,302,307,310,312,312,311,311,309,311,313,313,
327,327,327,314,323,317,324,321,319,319,318,318,315,315,316,320,320,326,330,
328,328,328,330,326,329,316,316,315,322,329,317,321,323,314,317,323,321,324,
317,325,325,329,322,330,334,331,365,337,365,343,357,351,351,351,366,366,366,
367,368,357,349,343,363,363,363,335,359,332,332,332,333,333,336,350,350,350,
344,344,344,348,348,354,354,365,331,337,368,347,367,371,369,352,358,369,346,
358,342,359,335,359,342,338,338,338,339,339,341,341,361,361,361,345,345,345,
347,368,340,353,364,349,357,355,352,346,358,360,362,356,365,369,362,352,358,
371,369,362,369,360,370,373,374,376,372,375,375,376,374,377,377,385,385,384,
381,394,390,389,389,389,378,383,393,387,393,380,383,378,383,396,393,380,383,
379,379,388,388,381,384,382,382,382,392,392,392,390,394,386,391,393,387,378,
396,393,395,397,397,406,408,409,409,409,407,399,398,405,405,398,398,405,405,
405,401,401,404,401,404,403,400,402,402,404,404,401,401,404,411,414,410,410,
410,412,412,414,411,413,441,438,442,442,438,438,442,441,440,438,441,442,442,
437,437,437,437,439,439,417,427,416,429,419,428,416,422,429,427,423,417,418,
418,418,424,424,424,425,425,425,420,420,420,423,427,422,429,415,415,421,421,
428,419,426,432,430,433,433,431,431,435,435,435,434,436,436,434,443,444,444,
444,476,474,472,472,484,474,492,492,471,487,485,490,494,474,476,484,484,476,
472,471,471,492,498,491,473,482,473,482,479,475,475,483,486,493,478,493,486,
479,482,491,491,473,479,481,477,483,483,475,496,497,480,489,488,495,478,493,
454,449,460,459,457,445,458,447,458,451,460,459,449,452,452,459,446,446,446,
455,455,455,453,453,453,450,450,450,456,456,456,448,448,448,445,457,458,447,
457,449,451,460,507,504,505,506,467,467,467,462,469,470,468,466,469,464,470,
465,465,465,463,463,463,461,461,461,469,462,466,464,470,462,503,499,499,503,
501,501,501,502,500,500,500,508,515,516,514,513,512,510,509,511,517,518,525,
526,523,523,532,530,535,536,537,544,545,545,548,546,550,546,543,545,553,552,
557,551,559,557,558,556,557,561,562,560,563,554,559,564,579,595,576,567,566,
570,581,567,586,574,581,570,566,585,578,581,583,577,569,568,587,575,575,573,
580,591,572,582,571,590,593,592,584,568,589,586,581,594,597,596,598,599,600,
603,608,604,601,605,602,608,608,601,607,616,614,611,612,610,617,618,619,618,
625,626,627,631,633,634,635,636,642,641,643,646,644,645,668,674,670,674,672,
674,669,675,671,673,670,668,674,666,663,667,664,664,667,663,667,665,647,647,
655,655,655,653,656,662,662,657,657,648,654,650,654,649,649,652,654,650,648,
651,654,659,660,660,660,658,656,653,661,680,682,681,677,676,678,678,679,719,
721,722,723,723,720,720,721,719,696,693,710,700,707,698,708,713,702,700,707,
714,714,712,697,697,713,708,703,715,695,705,694,705,695,705,694,712,714,712,
698,700,702,698,702,707,704,716,701,711,711,701,706,699,699,709,718,717,717,
724,724,686,689,685,685,683,683,684,689,688,689,684,686,691,690,692,692,692,
687,687,690,691,751,754,752,752,753,755,755,757,753,755,753,750,756,754,752,
754,756,749,749,749,725,734,733,733,734,733,734,727,737,738,738,747,739,739,
747,739,747,729,736,729,735,748,748,729,736,736,742,745,731,746,730,746,741,
735,748,735,744,732,728,740,726,743,730,730,746,743,737,738,737,790,788,792,
789,789,789,791,791,792,788,767,769,766,764,768,771,765,764,770,768,773,766,
768,770,766,770,764,772,758,760,762,763,763,759,759,761,761,761,775,775,777,
778,776,776,776,774,778,777,784,787,781,786,787,783,783,782,782,785,785,785,
787,784,786,793,779,780,811,811,811,812,812,812,813,810,794,794,794,799,799,
799,796,796,796,800,800,800,797,802,798,801,802,795,802,801,797,827,820,829,
822,819,824,826,823,818,825,828,821,803,805,805,804,804,804,805,803,803,837,
830,831,807,809,808,806,844,842,845,843,846,847,840,838,839,841,817,814,816,
815,833,835,832,834,836,849,848,861,862,864,861,855,857,856,855,869,871,867,
869,875,877,885,898,887,886,897,890,897,892,889,894,886,897,890,898,893,897,
895,899,906,905,904,904,905,903,902,909,911,916,908,915,914,917,913,910,912,
924,918,919,919,919,925,925,920,923,926,928,952,955,956,953,954,936,938,934,
935,937,944,940,949,942,949,941,939,945,943,946,941,947,948,949,950,932,930,
929,931,933,957,960,961,963,971,972,970,979,981,983,984,976,975,978,993,992,
993,994,991,990,989,989,995,998,1002,1002,1001,1000,1000,999,999,996,997,1000,
1001,1001,997,988,1007,1010,1009,1009,1008,1004,1006,1005,1003,1005,1005,1030,
1030,1029,1032,1031,1031,1032,1033,1033,1018,1015,1017,1019,1016,1019,1022,
1020,1017,1016,1019,1021,1023,1026,1024,1025,1028,1024,1026,1027,1035,1042,
1036,1042,1041,1041,1038,1037,1034,1036,1035,1042,1039,1043,1040,1038,1041,
1038,1044,1012,1012,1011,1013,1013,1011,1014,1066,1065,1068,1065,1068,1068,
1065,1064,1067,1063,1076,1072,1072,1074,1073,1073,1075,1074,1072,1074,1071,
1071,1046,1051,1047,1045,1047,1050,1046,1049,1054,1047,1051,1050,1046,1050,
1051,1052,1048,1053,1055,1056,1058,1058,1058,1057,1069,1070,1079,1077,1078,
1080,1062,1061,1059,1060,1084,1086,1087,1085,1083,1081,1081,1081,1082,1107,
1105,1104,1106,1096,1094,1097,1095,1102,1100,1099,1101,1103,1103,1103,1091,
1089,1092,1090,1093,1093,1093,1088,1098,1113,1111,1109,1111,1123,1123,1120,
1122,1132,1134,1136,1147,1148,1150,1149,1152,1155,1153,1154,1153,1162,1163,
1164,1158,1159,1179,1178,1180,1180,1169,1166,1168,1173,1170,1172,1169,1176,
1171,1172,1170,1175,1195,1192,1194,1189,1191,1186,1188,1187,1201,1202,1200,
1181,1182,1183,1182,1207,1204,1198,1196,1205,1209,1215,1224,1215,1224,1215,
1224,1217,1218,1216,1223,1219,1226,1221,1210,1212,1211,1214,1229,1227,1230,
1235,1232,1234,1239,1238,1240,1237,1241,1249,1250,1252,1253,1258,1260,1257,
1255,1261,1264,1265,1266,1267,1268,1289,1290,1291,1291,1277,1275,1278,1276,
1270,1273,1274,1273,1270,1271,1272,1269,1288,1287,1283,1284,1292,1285,1285,
1286,1280,1281,1282,1279,1279,1282,1294,1293,1295,1296,1298,1297,1308,1310,
1308,1307,1308,1310,1310,1309,1299,1301,1300,1302,1304,1305,1306,1303,1312,
1313,1317,1314,1318,1318,1322,1319,1327,1324,1333,1335,1337,1339,1341,1354,
1355,1360,1358,1360,1357,1359,1361,1362,1362,1363,1364,1365,1368,1374,1373,
1375,1386,1385,1387,1389,1392,1390,1372,1370,1371,1398,1377,1378,1378,1380,
1393,1394,1394,1396,1381,1383,1384,1399,1408,1402,1411,1415,1407,1405,1403,
1404,1414,1413,1418,1416,1422,1420,1421,1428,1426,1424,1435,1437,1439,1445,
1444,1447,1446,1448,1454,1453,1451,1452,1455,1450,1449,1456,1458,1457,1460,
1462,1459,1463,1465,1467,1469,1475,1477,1479,1486,1493,1490,1489,1492,1491,
1495,1497,1504,1505,1507,1506,1498,1501,1503,1499,1502,1502,1499,1500,1510,
1508,1514,1513,1515,1517,1518,1523,1525,1527,1529,1533,1536,1537,1534,1543,
1542,1545,1541,1540,1539,1546,1553,1561,1563,1562,1564,1565,1566,1572,1573,
1569,1568,1577,1576,1570,1571,1575,1574,1579,1581,1582,1583,1586,1589,1592,
1591,1597,1599,1598,1602,1604,1603,1612,1615,1616,1617,1621,1623,1625,1630,
1628,1635,1633,1637,1649,1644,1643,1642,1646,1641,1650,1654,1655,1658,1665,
1664,1670,1671,1674,1672,1676,1684,1687,1688,1692] );
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#E