GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmm24.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmm24.tom,v 4.2 2001/07/05 07:05:00 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the ATLAS group $M24$
##
#H tomlib history
#H --------------
#H $Log: tmm24.tom,v $
#H Revision 4.2 2001/07/05 07:05:00 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/tmm24.tom,v
#H Working file: tmm24.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 11:52:18; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:16; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmm24_tom :=
"@(#)$Id: tmm24.tom,v 4.2 2001/07/05 07:05:00 gap Exp $";
SetActualLibFileName("tmm24");
LIBTOM( "M24",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,3,7],[1,3,8],[1,2,9],[1,2,10],[1,2,
11],[1,2,3,12],[1,2,3,13],[1,2,3,14],[1,2,15],[1,2,16],[1,3,17],[1,18],[1,2,5,
19],[1,2,4,20],[1,3,4,21],[1,3,5,22],[1,2,4,23],[1,3,5,24],[1,25],[1,2,10,
26],[1,2,3,9,12,27],[1,2,3,9,13,28],[1,2,3,6,12,14,29],[1,2,3,8,13,14,30],[1,
2,9,11,31],[1,2,11,32],[1,2,10,11,33],[1,3,8,34],[1,2,3,10,12,13,35],[1,2,3,9,
10,12,14,36],[1,2,3,11,12,14,37],[1,2,3,7,12,38],[1,2,3,8,12,13,39],[1,2,3,6,
8,13,40],[1,2,3,7,13,41],[1,2,3,10,13,14,42],[1,2,3,9,11,14,43],[1,2,3,11,12,
14,44],[1,2,3,8,12,13,14,45],[1,2,9,10,15,46],[1,2,3,12,15,47],[1,2,3,10,12,
15,48],[1,2,3,9,12,15,49],[1,3,6,7,17,50],[1,3,7,8,17,51],[1,2,10,11,16,52],[
1,2,3,12,13,16,53],[1,2,3,13,16,54],[1,2,11,16,55],[1,2,3,11,12,16,56],[1,2,3,
9,13,16,57],[1,2,3,11,13,15,58],[1,2,3,7,14,17,59],[1,2,3,12,16,60],[1,2,3,13,
16,61],[1,2,10,15,62],[1,2,10,16,63],[1,2,9,15,64],[1,2,9,16,65],[1,2,3,12,15,
66],[1,2,3,12,15,67],[1,2,3,12,17,68],[1,2,3,13,17,69],[1,2,11,16,70],[1,2,3,
14,15,16,71],[1,2,16,72],[1,2,16,73],[1,2,15,74],[1,2,16,75],[1,4,76],[1,4,5,
77],[1,2,18,78],[1,3,18,79],[1,3,18,80],[1,81],[1,3,4,6,82],[1,3,4,7,83],[1,2,
5,9,84],[1,2,5,9,85],[1,2,4,10,86],[1,3,5,6,87],[1,3,5,8,88],[1,3,5,7,89],[1,
2,4,10,90],[1,2,4,11,91],[1,2,4,10,23,92],[1,2,4,9,23,93],[1,3,5,7,24,94],[1,
3,5,6,24,95],[1,2,4,11,20,23,96],[1,2,3,4,14,20,21,23,97],[1,3,5,8,22,24,98],[
1,3,5,7,22,24,99],[1,2,3,4,13,21,23,100],[1,2,3,5,13,19,22,24,101],[1,2,4,16,
23,102],[1,3,5,17,24,103],[1,2,4,15,23,104],[1,3,5,17,24,105],[1,2,25,106],[1,
4,18,107],[1,2,10,26,108],[1,2,10,11,33,109],[1,2,9,11,31,32,110],[1,2,3,6,9,
10,12,14,29,36,111],[1,2,3,9,10,11,12,14,27,31,36,44,112],[1,2,3,6,9,11,12,14,
27,29,37,43,44,113],[1,2,3,7,9,12,27,38,114],[1,2,3,6,8,9,13,28,40,115],[1,2,
3,6,8,12,13,14,30,34,39,40,45,116],[1,2,3,9,10,12,13,14,26,35,36,42,117],[1,2,
3,7,10,12,13,35,38,41,118],[1,2,3,8,9,10,12,13,14,28,35,36,39,45,119],[1,2,3,
6,8,10,12,13,14,29,30,35,39,40,42,45,120],[1,2,3,9,10,11,12,14,31,33,36,37,43,
121],[1,2,3,9,10,11,12,14,33,36,37,43,44,122],[1,2,3,8,9,10,12,13,14,28,30,36,
42,45,123],[1,2,9,11,15,31,64,124],[1,2,3,9,10,12,14,15,16,36,64,65,71,125],[
1,2,10,15,26,62,126],[1,2,3,10,12,13,16,35,61,63,127],[1,2,3,9,12,15,27,64,67,
128],[1,2,3,9,12,17,27,68,129],[1,2,3,9,10,12,14,15,36,62,64,66,130],[1,2,3,6,
12,14,15,16,29,60,66,71,131],[1,2,3,9,10,12,14,16,36,60,63,65,132],[1,2,3,10,
12,13,15,35,62,67,133],[1,2,3,10,12,13,17,35,68,69,134],[1,2,3,7,12,15,38,66,
67,135],[1,2,9,11,16,31,65,70,136],[1,2,3,9,10,12,14,15,16,36,62,63,71,137],[
1,2,9,15,64,74,138],[1,2,9,16,65,72,139],[1,2,10,15,62,74,140],[1,2,10,16,63,
73,141],[1,2,3,12,15,66,67,74,142],[1,2,9,16,65,143],[1,2,10,16,63,144],[1,2,
9,15,16,64,65,145],[1,2,9,15,16,64,65,146],[1,2,10,15,16,62,63,147],[1,2,10,
15,16,62,63,148],[1,2,10,15,16,62,63,149],[1,2,9,15,16,64,65,150],[1,2,3,12,
15,17,66,68,151],[1,2,3,12,15,17,66,68,152],[1,2,3,12,15,16,17,60,67,68,153],[
1,2,3,9,10,11,12,14,15,31,36,46,49,64,154],[1,2,3,9,11,13,16,28,31,57,65,
155],[1,2,3,10,12,13,15,26,35,48,62,156],[1,2,3,9,10,12,13,14,15,35,36,47,49,
62,157],[1,2,3,9,10,12,14,15,27,36,47,48,64,158],[1,2,3,9,12,13,16,27,28,53,
65,159],[1,2,3,9,10,12,13,15,27,35,46,47,48,49,66,160],[1,2,3,7,9,10,12,14,15,
36,38,48,49,67,161],[1,2,3,8,9,12,13,16,27,39,53,57,60,162],[1,2,3,7,9,13,16,
28,41,54,57,61,163],[1,2,3,8,11,12,13,14,15,37,39,58,66,164],[1,2,3,7,11,12,
14,17,37,38,59,68,165],[1,2,3,8,11,12,13,14,15,16,44,45,47,53,56,58,71,166],[
1,2,3,9,10,12,14,15,26,36,46,48,62,167],[1,2,3,10,11,12,13,16,33,35,56,63,
168],[1,2,3,10,11,12,13,14,16,35,37,52,56,60,169],[1,2,10,11,16,26,33,52,63,
170],[1,2,3,7,12,15,38,47,66,171],[1,2,3,7,8,12,13,17,38,39,51,68,172],[1,2,3,
6,7,8,13,17,40,41,50,51,69,173],[1,2,3,10,12,13,16,35,54,63,174],[1,2,3,9,11,
12,15,27,31,49,64,175],[1,2,3,9,11,13,15,28,31,58,64,176],[1,2,3,8,9,11,12,13,
14,15,16,43,45,49,56,57,58,71,177],[1,2,9,11,16,31,55,65,178],[1,2,3,9,10,12,
13,14,16,35,36,53,57,63,179],[1,2,3,10,11,12,13,15,33,35,58,62,180],[1,2,3,10,
11,12,13,14,15,16,42,44,48,52,53,58,71,181],[1,2,3,7,9,12,15,27,38,47,49,67,
182],[1,2,3,6,7,12,14,17,29,38,50,59,68,183],[1,2,3,7,8,13,14,17,30,41,51,59,
69,184],[1,2,3,7,10,12,13,15,35,38,47,48,67,185],[1,2,3,7,8,12,13,16,39,41,53,
54,61,186],[1,2,3,9,10,11,12,14,16,31,36,52,56,65,187],[1,2,3,11,12,14,16,32,
37,55,56,70,188],[1,2,10,11,16,32,33,52,55,70,189],[1,2,3,9,10,11,13,14,15,16,
42,43,46,52,57,58,71,190],[1,2,10,16,26,63,191],[1,2,3,9,13,15,28,64,192],[1,
2,3,9,12,17,27,68,193],[1,2,3,9,13,17,28,69,194],[1,2,3,6,12,14,15,17,29,67,
68,195],[1,2,3,9,10,12,14,16,36,63,196],[1,2,10,11,15,16,33,62,63,197],[1,2,3,
10,12,13,15,35,62,198],[1,2,3,10,12,13,17,35,68,199],[1,2,3,7,12,16,17,38,60,
68,200],[1,2,3,6,8,13,16,17,40,61,69,201],[1,2,3,9,10,12,14,15,36,62,202],[1,
2,3,9,10,12,14,15,36,64,203],[1,2,3,9,10,12,14,17,36,68,204],[1,2,3,9,13,15,
16,28,64,65,205],[1,2,3,11,12,14,15,17,37,67,68,206],[1,2,3,8,13,14,16,17,30,
61,69,207],[1,2,10,11,16,33,63,208],[1,2,3,9,10,12,14,16,36,65,209],[1,2,9,11,
15,16,31,64,65,210],[1,2,3,9,13,16,28,65,211],[1,2,3,9,12,16,27,65,212],[1,2,
9,11,15,31,64,213],[1,2,3,9,10,12,14,15,16,36,64,65,214],[1,2,10,11,15,33,62,
215],[1,2,3,9,10,12,14,15,16,36,62,63,216],[1,2,3,10,12,13,15,16,35,62,63,
217],[1,2,3,11,12,14,16,37,70,218],[1,2,3,8,12,13,17,39,69,219],[1,2,3,8,12,
13,15,17,39,67,68,220],[1,2,10,11,16,33,70,221],[1,2,3,12,15,47,67,74,222],[1,
2,3,9,10,12,15,46,48,49,62,64,67,74,223],[1,2,3,10,12,15,47,48,62,66,67,74,
224],[1,2,3,9,12,15,47,49,64,66,67,74,225],[1,2,3,9,13,16,54,57,61,65,73,
226],[1,2,3,11,12,16,55,56,60,70,72,227],[1,2,10,11,16,52,55,63,70,72,228],[1,
2,3,12,13,16,53,54,60,61,73,229],[1,2,9,16,65,75,230],[1,2,10,16,63,75,231],[
1,2,3,12,16,60,75,232],[1,2,3,11,13,16,54,55,75,233],[1,2,16,72,73,75,234],[1,
2,11,16,55,73,75,235],[1,2,3,13,16,54,72,75,236],[1,2,4,20,76,237],[1,3,4,5,
21,22,77,238],[1,2,4,5,19,23,77,239],[1,2,4,20,23,76,240],[1,3,4,5,21,24,77,
241],[1,3,6,18,80,242],[1,2,3,13,18,78,79,80,243],[1,3,8,18,79,80,244],[1,2,
16,18,78,245],[1,3,17,18,79,246],[1,4,25,247],[1,5,25,248],[1,5,25,249],[1,3,
81,250],[1,251],[1,2,4,9,10,15,20,46,86,252],[1,2,5,9,10,15,19,46,84,253],[1,
3,4,6,7,17,21,50,83,254],[1,3,4,6,7,17,21,50,82,255],[1,3,4,7,8,17,21,51,83,
256],[1,2,3,5,9,12,15,22,49,84,257],[1,2,3,4,10,12,15,21,48,86,258],[1,2,3,4,
7,14,17,20,59,83,259],[1,2,4,10,11,16,20,52,91,260],[1,2,3,4,11,12,16,21,56,
91,261],[1,2,4,10,11,16,20,52,86,262],[1,2,4,11,16,20,55,91,263],[1,2,3,5,9,
13,16,22,57,84,264],[1,2,3,5,9,13,16,22,57,85,265],[1,2,3,4,11,13,15,21,58,91,
266],[1,2,4,10,11,16,20,52,90,267],[1,3,5,6,7,17,22,50,87,268],[1,3,5,7,8,17,
22,51,88,269],[1,3,5,7,8,17,22,51,89,270],[1,2,3,5,9,12,24,27,84,271],[1,2,3,
5,9,13,24,28,85,272],[1,2,3,5,6,12,14,24,29,87,273],[1,2,3,5,8,13,14,24,30,88,
274],[1,2,3,4,7,12,23,38,83,275],[1,2,3,4,6,8,13,23,40,82,276],[1,2,3,4,7,13,
23,41,83,277],[1,2,4,10,23,26,86,278],[1,2,4,9,11,23,31,91,279],[1,2,3,5,9,11,
14,24,43,84,280],[1,2,4,11,23,32,91,281],[1,2,3,4,11,12,14,23,44,91,282],[1,2,
3,4,10,13,14,23,42,86,283],[1,2,4,10,11,23,33,90,284],[1,3,5,8,24,34,88,285],[
1,2,3,5,7,13,19,22,24,41,94,99,101,286],[1,2,3,5,6,8,13,19,22,24,40,95,98,101,
287],[1,2,3,4,10,13,14,20,21,23,42,92,97,100,288],[1,2,3,4,9,11,14,20,21,23,
43,93,96,97,289],[1,2,4,16,23,72,290],[1,2,4,16,23,73,291],[1,2,4,15,23,74,
292],[1,2,4,10,11,16,20,23,52,92,96,102,293],[1,2,3,4,9,13,16,21,23,57,93,100,
102,294],[1,3,5,7,8,17,22,24,51,94,98,103,295],[1,3,5,6,7,17,22,24,50,95,99,
103,296],[1,3,5,7,8,17,22,24,51,98,99,105,297],[1,2,3,4,11,13,15,20,21,23,58,
96,100,104,298],[1,2,3,5,13,17,19,22,24,69,101,103,105,299],[1,2,3,4,14,15,16,
20,21,23,71,97,102,104,300],[1,2,4,9,10,15,23,46,92,93,104,301],[1,3,5,6,7,17,
24,50,94,95,105,302],[1,4,5,76,77,303],[1,2,4,18,23,78,107,304],[1,2,3,9,10,
11,12,14,31,33,36,37,43,44,109,121,122,305],[1,2,3,6,9,10,11,12,14,27,29,31,
33,36,37,43,44,111,112,113,121,122,306],[1,2,3,6,8,9,10,12,13,14,26,28,29,30,
35,36,39,40,42,45,111,117,119,120,123,307],[1,2,3,6,8,9,10,12,13,14,28,29,30,
34,35,36,39,40,42,45,115,116,119,120,123,308],[1,2,3,9,10,11,12,14,15,27,31,
32,36,44,46,49,64,110,112,124,154,175,309],[1,2,3,8,9,10,11,12,13,14,15,16,28,
30,31,33,36,37,42,43,45,46,49,52,56,57,58,64,65,71,121,123,125,154,155,176,
177,187,190,310],[1,2,3,9,10,12,13,14,15,26,35,36,42,46,48,62,108,117,126,156,
167,311],[1,2,3,8,9,10,11,12,13,14,16,27,28,31,35,36,39,44,45,53,57,60,63,65,
112,119,132,155,159,162,179,312],[1,2,3,8,9,10,11,12,13,14,15,28,31,33,35,36,
37,39,43,45,58,62,64,66,119,121,130,164,176,180,313],[1,2,3,9,10,11,12,13,14,
15,26,27,31,35,36,42,44,46,47,48,49,62,64,66,112,117,130,154,157,158,160,167,
314],[1,2,3,8,9,10,11,12,13,14,15,16,28,33,35,36,37,39,43,44,45,47,49,53,56,
57,58,62,63,71,119,122,137,157,166,168,177,179,180,315],[1,2,3,8,9,10,11,12,
13,14,15,16,27,28,30,31,36,42,44,45,47,48,52,53,56,58,64,65,71,112,123,125,
158,159,166,176,181,187,316],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,29,30,35,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,66,71,113,120,131,160,162,164,
166,169,177,181,190,317],[1,2,3,7,9,10,11,12,14,15,27,31,36,38,44,47,48,49,64,
67,112,114,128,158,161,175,182,318],[1,2,3,6,7,9,11,12,14,17,27,29,37,38,43,
44,50,59,68,113,114,129,165,183,319],[1,2,3,7,9,10,12,13,14,15,26,35,36,38,41,
42,47,48,49,62,67,117,118,133,156,157,161,185,320],[1,2,3,7,8,9,10,12,13,14,
16,28,35,36,38,39,41,45,53,54,57,61,63,118,119,127,163,174,179,186,321],[1,2,
3,9,10,11,12,13,14,16,26,31,33,35,36,37,42,43,52,56,60,63,65,117,121,132,168,
169,170,187,322],[1,2,3,7,9,10,12,13,15,27,35,38,41,46,47,48,49,66,67,114,118,
135,160,171,182,185,323],[1,2,3,6,7,8,10,12,13,14,17,29,30,35,38,39,40,41,42,
45,50,51,59,68,69,118,120,134,172,173,183,184,324],[1,2,3,9,10,11,12,14,16,31,
32,33,36,37,43,52,55,56,65,70,110,121,136,178,187,188,189,325],[1,2,3,9,10,11,
12,13,14,15,16,26,33,35,36,37,42,43,44,46,48,52,53,57,58,62,63,71,117,122,137,
167,170,179,180,181,190,326],[1,2,3,6,9,10,12,14,15,26,29,36,46,48,62,111,167,
202,327],[1,2,3,9,10,11,12,13,14,15,31,33,35,36,37,43,47,49,58,62,121,157,180,
202,215,328],[1,2,3,6,9,10,12,13,14,15,16,29,35,36,47,49,53,57,62,63,111,157,
179,196,216,329],[1,2,3,9,10,11,12,14,15,27,31,33,36,37,43,47,48,49,64,121,
158,175,203,213,330],[1,2,3,7,9,10,11,12,14,15,17,31,33,36,37,38,43,48,49,59,
67,68,121,161,165,204,206,331],[1,2,3,8,9,10,11,12,13,14,15,16,28,31,35,36,39,
45,52,56,57,58,64,65,119,155,176,187,205,211,214,332],[1,2,3,8,9,10,11,12,13,
14,15,16,28,30,31,36,42,45,46,49,52,56,58,64,65,123,154,176,187,203,205,214,
333],[1,2,3,9,10,11,12,13,14,15,16,33,35,36,37,43,44,47,49,53,57,58,62,63,122,
157,179,180,197,202,216,334],[1,2,10,11,16,26,33,52,63,109,170,208,335],[1,2,
3,6,8,9,12,13,16,27,28,40,53,65,115,159,211,336],[1,2,3,7,9,12,13,16,27,28,38,
53,65,114,159,212,337],[1,2,3,6,9,10,12,14,15,27,29,36,47,48,64,111,158,203,
338],[1,2,3,8,9,10,12,13,14,15,16,27,28,30,36,42,45,47,48,53,64,65,123,158,
159,192,214,339],[1,2,3,8,9,10,12,13,14,15,16,27,28,35,36,39,45,47,48,53,64,
65,119,158,159,205,209,340],[1,2,3,8,9,10,11,12,13,14,15,28,31,35,36,39,45,46,
49,58,64,119,154,176,192,203,341],[1,2,3,6,8,9,11,13,15,16,28,31,40,57,58,64,
65,115,155,176,192,205,342],[1,2,3,6,7,9,10,12,14,15,17,29,36,38,48,49,50,59,
67,68,111,161,183,195,204,343],[1,2,3,6,7,9,11,12,14,15,17,27,29,37,38,43,44,
47,49,50,59,67,68,113,165,182,183,193,195,206,344],[1,2,3,7,8,9,10,12,13,14,
16,17,28,30,36,41,42,45,51,54,57,59,61,69,123,163,184,194,207,345],[1,2,10,11,
16,26,33,52,63,108,170,191,346],[1,2,3,9,11,13,15,16,28,31,32,57,58,64,65,110,
155,176,210,213,347],[1,2,3,8,9,10,11,12,13,14,16,28,30,31,36,42,45,52,56,57,
65,123,155,187,209,211,348],[1,2,3,6,9,10,11,12,14,15,16,29,31,36,46,49,52,56,
64,65,111,154,187,209,214,349],[1,2,3,9,10,11,12,14,15,16,27,31,36,44,49,52,
55,56,64,65,112,175,178,187,210,212,214,350],[1,2,3,8,9,10,12,13,14,15,16,28,
35,36,39,45,47,49,54,62,63,119,157,174,196,217,351],[1,2,3,8,9,10,12,13,14,15,
26,28,35,36,39,45,46,48,62,119,156,167,198,202,352],[1,2,3,7,10,11,12,13,15,
16,33,35,38,41,56,58,62,63,118,168,180,198,217,353],[1,2,3,7,10,11,12,13,14,
16,17,35,37,38,41,52,56,59,60,68,118,165,169,199,200,354],[1,2,3,9,10,11,12,
14,15,16,26,31,33,36,37,43,46,48,52,62,63,121,167,170,196,197,355],[1,2,3,9,
10,11,12,14,15,16,26,33,36,37,43,44,46,48,52,62,63,122,167,170,215,216,356],[
1,2,3,10,11,12,13,15,16,33,35,56,58,62,63,109,168,180,197,215,357],[1,2,3,9,
10,11,12,13,14,16,33,35,36,37,43,44,53,56,57,63,122,168,179,196,208,358],[1,2,
3,9,10,11,12,13,14,15,16,31,33,35,36,37,43,53,56,57,58,62,63,121,168,179,180,
197,208,216,359],[1,2,3,9,10,11,12,14,15,16,31,33,36,37,43,46,49,55,64,65,121,
154,178,209,210,360],[1,2,10,11,16,32,33,52,55,70,109,189,221,361],[1,2,3,7,8,
9,10,12,13,14,15,17,28,35,36,38,39,45,48,49,51,67,68,119,161,172,204,220,
362],[1,2,3,7,8,9,12,13,16,17,27,38,39,51,53,57,60,68,114,162,172,193,200,
363],[1,2,3,6,7,8,9,13,16,17,28,40,41,50,51,54,57,61,69,115,163,173,194,201,
364],[1,2,3,6,7,8,10,12,13,14,15,17,29,30,35,38,39,40,42,45,47,48,50,51,59,67,
68,120,172,183,185,195,199,220,365],[1,2,3,6,7,8,12,13,14,16,17,30,34,39,40,
41,45,50,51,53,54,59,61,69,116,173,184,186,201,207,219,366],[1,2,3,9,10,12,13,
14,15,16,26,35,36,42,48,53,54,57,62,63,117,156,174,179,191,216,217,367],[1,2,
3,9,10,11,12,14,16,32,33,36,37,43,44,52,55,56,70,122,188,189,218,221,368],[1,
2,3,10,11,12,13,16,33,35,54,56,63,144,168,174,369],[1,2,3,10,11,12,13,15,16,
26,33,35,48,52,54,58,62,63,147,156,170,174,180,370],[1,2,3,9,11,13,16,28,31,
55,57,65,143,155,178,371],[1,2,3,9,11,12,13,15,16,27,28,31,49,53,55,58,64,65,
145,159,175,176,178,372],[1,2,3,7,8,11,12,13,14,15,17,37,38,39,47,51,58,59,66,
68,151,164,165,171,172,373],[1,2,3,9,10,12,13,14,15,26,35,36,42,62,117,126,
198,202,374],[1,2,3,9,10,12,13,14,17,26,35,36,42,68,69,117,134,199,204,375],[
1,2,3,8,9,10,12,13,14,15,16,28,35,36,39,45,61,62,63,67,119,127,133,216,217,
376],[1,2,3,6,8,10,12,13,14,16,17,29,30,35,39,40,42,45,61,63,68,69,120,127,
134,201,207,377],[1,2,3,9,10,11,12,14,16,27,31,36,44,65,70,112,136,209,212,
378],[1,2,3,9,10,11,12,14,15,16,31,33,36,37,43,64,65,70,121,124,136,210,214,
379],[1,2,3,9,10,12,13,14,16,26,35,36,42,61,63,117,127,191,196,380],[1,2,3,9,
10,11,12,14,15,27,31,36,44,64,67,112,128,203,213,381],[1,2,3,9,10,11,12,14,17,
27,31,36,44,68,112,129,193,204,382],[1,2,3,8,9,10,12,13,14,15,16,28,35,36,39,
45,64,65,71,119,125,192,205,211,383],[1,2,3,6,9,11,12,14,15,17,27,29,37,43,44,
64,67,68,113,128,129,195,206,384],[1,2,3,8,9,10,12,13,14,15,16,28,30,36,42,45,
62,64,65,66,71,123,125,130,192,203,205,214,385],[1,2,3,9,10,11,12,14,15,16,27,
31,36,44,62,63,71,112,137,196,202,216,386],[1,2,3,9,10,12,13,14,15,16,26,35,
36,42,64,65,71,117,125,203,209,214,387],[1,2,3,8,9,10,12,13,14,15,16,28,30,36,
42,45,60,63,64,65,71,123,125,132,205,209,211,214,388],[1,2,3,9,10,11,12,14,15,
16,33,36,37,43,44,62,63,64,66,71,122,130,137,197,202,215,216,389],[1,2,3,9,10,
11,12,14,15,16,31,33,36,37,43,62,63,71,121,137,197,208,215,390],[1,2,3,9,10,
11,12,14,15,16,33,36,37,43,44,60,62,63,65,71,122,132,137,196,197,208,216,
391],[1,2,3,6,8,10,12,13,14,15,17,29,30,35,39,40,42,45,62,67,68,69,120,133,
134,195,220,392],[1,2,3,8,9,10,12,13,14,17,28,35,36,39,45,68,69,119,134,194,
219,393],[1,2,3,9,10,11,12,14,16,31,33,36,37,43,65,70,121,136,218,221,394],[1,
2,3,6,9,10,12,14,15,16,29,36,60,62,63,64,65,66,71,111,125,130,131,132,137,
395],[1,2,3,7,9,10,11,12,14,15,26,31,36,38,46,48,49,62,64,67,74,154,161,167,
223,396],[1,2,3,7,9,11,13,16,28,31,41,54,57,61,65,73,155,163,226,397],[1,2,10,
11,16,26,32,33,52,55,63,70,72,170,189,228,398],[1,2,3,7,9,10,11,12,13,14,15,
27,31,35,36,38,46,47,48,49,62,64,66,67,74,154,157,160,161,175,182,223,225,
399],[1,2,3,7,9,10,12,13,14,15,26,27,35,36,38,46,47,48,49,62,64,66,67,74,156,
158,160,161,167,185,223,224,400],[1,2,3,7,8,9,12,13,16,27,28,39,41,53,54,57,
60,61,65,73,159,162,163,186,226,229,401],[1,2,3,7,9,10,12,13,14,15,27,35,36,
38,47,48,49,62,64,66,67,74,157,158,161,171,182,185,222,224,225,402],[1,2,3,10,
11,12,13,14,16,32,33,35,37,52,55,56,60,63,70,72,168,169,188,189,227,228,403],[
1,2,3,9,13,15,16,28,64,65,143,146,205,404],[1,2,3,9,13,15,16,28,64,65,145,146,
150,192,205,211,405],[1,2,10,11,15,16,33,62,63,144,148,197,406],[1,2,10,11,15,
16,33,62,63,147,148,149,197,208,215,407],[1,2,3,9,10,11,12,14,16,31,36,52,55,
56,60,63,65,70,72,132,136,139,178,187,227,228,408],[1,2,3,9,10,12,13,14,15,26,
35,36,46,47,48,49,62,64,66,67,74,126,130,133,140,156,157,167,223,224,409],[1,
2,3,9,10,12,13,14,16,35,36,53,54,57,60,61,63,65,73,127,132,141,174,179,226,
229,410],[1,2,3,9,10,11,12,14,15,27,31,36,46,47,48,49,62,64,66,67,74,124,128,
130,138,154,158,175,223,225,411],[1,2,3,7,9,10,12,14,15,36,38,47,48,49,62,64,
66,67,74,130,135,142,161,171,224,225,412],[1,2,3,7,9,10,12,13,15,27,35,38,46,
47,48,49,62,64,66,67,74,128,133,135,142,160,182,185,222,223,224,225,413],[1,2,
3,9,10,12,14,15,16,26,36,46,48,60,62,63,65,132,149,167,191,196,414],[1,2,10,
11,15,16,26,33,52,62,63,126,149,170,191,197,415],[1,2,3,9,10,11,12,14,15,16,
31,36,46,49,60,63,64,65,132,146,154,203,210,416],[1,2,3,9,10,12,14,15,16,27,
36,47,48,60,63,64,65,132,150,158,209,212,417],[1,2,3,9,11,13,15,16,28,31,58,
64,65,70,136,146,150,176,205,210,211,418],[1,2,3,9,10,11,12,14,15,16,31,36,52,
56,62,64,65,66,130,146,150,187,210,213,214,419],[1,2,3,9,12,13,15,16,27,28,53,
64,65,67,128,150,159,205,212,420],[1,2,3,9,11,13,15,16,28,31,57,64,65,124,146,
155,192,213,421],[1,2,3,9,10,12,13,14,15,16,35,36,47,49,60,62,63,65,132,148,
157,202,217,422],[1,2,3,10,11,12,13,15,16,33,35,56,62,63,67,133,148,168,198,
215,423],[1,2,3,7,9,10,12,14,15,16,17,36,38,48,49,60,63,65,67,68,132,153,161,
200,204,424],[1,2,3,9,10,12,13,14,15,16,35,36,53,57,62,63,64,66,130,148,149,
179,198,216,217,425],[1,2,3,10,11,12,13,14,15,16,17,35,37,52,56,60,62,67,68,
133,153,169,199,206,426],[1,2,3,8,9,12,13,15,16,17,27,39,53,57,60,64,67,68,
128,153,162,193,220,427],[1,2,3,10,11,12,13,15,16,33,35,58,61,62,63,127,148,
149,180,197,208,217,428],[1,2,3,9,10,12,14,15,17,36,62,64,66,68,130,151,152,
204,429],[1,2,3,9,10,12,14,15,16,36,62,63,64,66,130,147,148,196,202,430],[1,2,
3,9,10,12,14,15,16,36,60,63,64,65,132,143,145,150,214,431],[1,2,3,9,10,12,14,
15,16,36,62,64,65,66,130,145,146,203,209,432],[1,2,3,9,10,12,14,15,16,36,60,
62,63,65,132,144,147,149,216,433],[1,2,10,11,16,26,33,52,63,73,141,144,170,
191,208,434],[1,2,3,10,11,12,13,15,16,33,35,56,62,63,73,141,147,168,197,217,
435],[1,2,3,9,12,13,16,27,28,53,65,72,139,143,159,211,212,436],[1,2,3,9,11,13,
15,16,28,31,57,64,65,72,139,145,155,205,210,437],[1,2,3,9,11,13,15,16,28,31,
58,64,65,74,138,145,176,192,205,210,213,438],[1,2,3,10,11,12,13,15,16,33,35,
58,62,63,74,140,147,180,197,198,215,217,439],[1,2,3,8,11,12,13,14,15,17,37,39,
58,66,67,68,74,142,151,164,206,220,440],[1,2,3,9,10,12,15,46,47,48,49,62,64,
66,67,74,138,140,142,222,223,224,225,441],[1,2,3,6,12,14,15,16,29,60,66,71,
131,442],[1,2,3,7,9,10,12,14,15,36,38,48,49,62,64,67,161,202,203,443],[1,2,3,
9,10,12,13,14,15,17,35,36,47,49,62,64,68,157,203,204,444],[1,2,3,9,12,13,16,
17,27,28,53,65,69,159,194,445],[1,2,3,9,12,13,16,17,27,28,53,65,68,159,193,
446],[1,2,3,9,10,12,14,15,17,27,36,47,48,62,64,68,158,202,204,447],[1,2,3,8,
11,12,13,14,15,17,37,39,58,66,69,164,219,448],[1,2,3,7,9,13,15,16,17,28,41,54,
57,61,64,69,163,192,194,449],[1,2,3,9,10,11,12,14,15,16,17,31,36,46,49,63,64,
68,154,196,204,450],[1,2,3,9,10,12,14,15,16,17,26,36,46,48,62,65,68,167,204,
209,451],[1,2,3,7,9,10,12,14,15,16,36,38,48,49,63,65,67,161,196,209,452],[1,2,
3,8,11,12,13,14,15,16,37,39,58,66,70,164,218,453],[1,2,10,11,16,26,33,52,63,
70,170,221,454],[1,2,10,11,16,32,33,52,55,63,70,189,208,221,455],[1,2,10,11,
16,26,33,52,63,170,191,456],[1,2,3,7,9,10,12,14,15,16,36,38,48,49,62,65,67,
161,202,209,457],[1,2,3,9,10,12,13,14,15,16,17,35,36,47,49,62,65,68,157,204,
209,458],[1,2,3,9,11,13,15,16,28,31,57,64,65,155,213,459],[1,2,3,9,10,11,12,
14,15,17,31,36,46,49,62,64,68,154,202,204,460],[1,2,3,9,11,13,16,17,28,31,57,
65,69,155,194,461],[1,2,3,8,9,12,13,16,17,27,39,53,57,60,65,68,162,193,212,
462],[1,2,3,7,9,13,16,17,28,41,54,57,61,65,69,163,194,211,463],[1,2,3,10,11,
12,13,16,33,35,56,63,70,168,221,464],[1,2,10,11,15,16,32,33,52,55,62,70,189,
215,221,465],[1,2,3,9,10,12,14,15,17,26,36,46,48,62,64,68,167,203,204,466],[1,
2,3,9,10,12,14,15,16,17,27,36,47,48,63,64,68,158,196,204,467],[1,2,3,7,9,10,
12,14,15,16,36,38,48,49,63,64,67,161,196,203,468],[1,2,3,10,11,12,13,16,17,33,
35,56,63,68,168,199,469],[1,2,3,10,11,12,13,14,15,16,17,35,37,52,56,60,62,68,
169,198,199,470],[1,2,3,9,10,12,13,14,15,16,35,36,53,57,61,62,63,71,127,137,
144,149,179,196,217,471],[1,2,3,9,10,12,14,15,16,26,36,46,48,62,63,71,126,137,
147,148,167,191,216,472],[1,2,3,9,10,11,12,14,15,16,31,36,52,56,64,65,71,124,
125,145,150,187,203,210,473],[1,2,3,9,10,11,12,14,15,16,31,36,46,49,64,65,70,
71,125,136,145,146,154,213,214,474],[1,2,3,9,10,11,12,14,15,16,31,36,52,56,64,
65,70,71,125,136,143,150,187,209,210,475],[1,2,3,9,10,12,14,15,16,27,36,47,48,
64,65,67,71,125,128,145,146,158,212,214,476],[1,2,3,9,10,12,13,14,15,16,35,36,
53,57,62,63,67,71,133,137,147,149,179,202,217,477],[1,2,3,9,10,12,13,14,15,16,
35,36,47,49,61,62,63,71,127,137,147,148,157,198,216,478],[1,2,3,9,10,12,13,15,
17,27,35,46,47,48,49,66,68,69,129,134,151,152,160,193,199,479],[1,2,3,6,7,12,
14,15,16,17,29,38,50,59,60,66,67,68,71,131,135,151,153,183,195,200,480],[1,2,
3,9,10,12,13,14,15,16,26,35,36,46,48,53,57,62,63,71,137,148,156,167,179,191,
217,481],[1,2,3,10,11,12,13,15,16,26,33,35,48,52,58,62,63,126,148,156,170,180,
215,217,482],[1,2,3,10,11,12,13,15,16,33,35,54,56,58,61,62,63,127,149,168,174,
180,208,217,483],[1,2,3,10,11,12,13,15,16,26,33,35,48,52,56,61,62,63,127,149,
156,168,170,191,197,484],[1,2,3,10,11,12,13,15,16,33,35,54,58,62,63,67,133,
148,174,180,197,198,485],[1,2,3,9,10,12,13,14,15,16,35,36,47,49,53,54,57,62,
63,71,137,149,157,174,179,198,217,486],[1,2,3,7,10,11,12,13,14,15,16,17,35,37,
38,47,48,52,56,59,60,67,68,69,134,153,165,169,185,200,206,487],[1,2,3,9,11,12,
13,15,16,27,28,31,49,53,57,64,65,70,136,150,155,159,175,205,212,488],[1,2,3,9,
11,13,15,16,28,31,55,58,64,65,124,146,176,178,205,213,489],[1,2,3,9,10,11,12,
14,15,16,27,31,36,47,48,49,52,56,64,65,71,125,146,158,175,187,210,212,490],[1,
2,3,9,10,11,12,14,15,16,31,36,46,49,52,55,56,64,65,71,125,150,154,178,187,210,
213,491],[1,2,3,9,11,13,15,16,28,31,55,57,58,64,65,70,136,150,155,176,178,210,
211,492],[1,2,3,9,11,12,13,15,16,27,28,31,49,53,58,64,65,67,128,146,159,175,
176,192,210,493],[1,2,3,6,7,12,14,15,16,17,29,38,47,50,59,60,66,68,71,131,152,
171,183,200,494],[1,2,3,7,8,11,12,13,14,15,17,37,38,39,51,58,59,66,67,68,135,
152,164,165,172,206,220,495],[1,2,3,7,8,9,12,13,15,16,17,27,38,39,47,49,51,53,
57,60,67,68,129,153,162,172,182,200,220,496],[1,2,3,9,10,12,14,15,16,36,64,65,
71,72,125,139,146,150,209,214,497],[1,2,3,9,10,12,14,15,16,36,62,63,71,74,137,
140,148,149,202,216,498],[1,2,3,9,10,12,14,15,16,36,64,65,71,74,125,138,146,
150,203,214,499],[1,2,3,9,10,12,14,15,16,36,62,63,71,73,137,141,148,149,196,
216,500],[1,2,3,6,12,14,15,16,17,29,60,66,67,68,71,74,131,142,152,153,195,
501],[1,2,3,9,10,12,14,16,36,60,63,65,75,132,230,231,232,502],[1,2,10,11,16,
26,33,52,63,75,170,231,503],[1,2,3,9,12,13,16,27,28,53,65,75,159,230,504],[1,
2,3,10,11,12,13,16,33,35,56,63,75,168,231,505],[1,2,3,9,11,13,16,28,31,57,65,
75,155,230,506],[1,2,10,11,15,16,52,55,62,63,70,72,75,147,228,231,507],[1,2,3,
9,13,16,54,57,61,65,73,75,143,226,230,508],[1,2,10,11,16,52,55,63,70,72,75,
144,228,231,509],[1,2,3,9,13,15,16,54,57,61,64,65,73,75,145,226,230,510],[1,2,
3,6,12,14,15,16,29,60,66,71,75,131,232,511],[1,2,10,11,16,52,55,63,70,72,73,
75,141,228,231,234,235,512],[1,2,3,9,13,16,54,57,61,65,72,73,75,139,226,230,
234,236,513],[1,2,3,10,11,12,13,16,35,52,54,55,63,70,72,75,174,228,231,233,
236,514],[1,2,3,9,11,13,16,31,54,55,57,61,65,73,75,178,226,230,233,235,515],[
1,2,3,11,12,13,16,53,54,55,56,60,61,70,72,73,75,227,229,232,233,234,235,236,
516],[1,2,4,16,20,76,237,517],[1,2,4,10,23,76,86,90,92,518],[1,2,4,5,9,23,77,
84,85,93,519],[1,3,4,5,6,24,77,82,87,95,520],[1,3,4,5,7,24,77,83,89,94,521],[
1,2,4,11,20,23,76,96,237,240,522],[1,2,3,4,5,13,19,21,22,23,24,77,100,101,238,
239,241,523],[1,2,3,6,8,13,18,40,78,79,80,242,243,244,524],[1,2,3,13,17,18,69,
78,79,80,243,246,525],[1,2,3,13,16,18,61,78,79,80,243,245,526],[1,2,5,19,25,
106,249,527],[1,2,4,23,25,106,247,528],[1,2,4,10,11,33,86,109,529],[1,2,4,10,
26,90,108,530],[1,2,4,10,11,33,90,91,109,531],[1,2,3,5,6,9,10,12,14,29,36,84,
87,111,532],[1,2,3,4,6,9,10,12,14,29,36,82,86,111,533],[1,2,3,5,6,8,9,13,28,
40,85,87,88,115,534],[1,2,3,5,6,8,9,13,28,40,84,87,115,535],[1,2,3,5,7,9,12,
27,38,85,89,114,536],[1,2,4,10,23,26,86,92,108,278,537],[1,2,3,4,7,9,12,23,27,
38,83,93,114,275,538],[1,2,3,4,6,8,9,13,23,28,40,82,93,115,276,539],[1,2,3,5,
7,9,12,24,27,38,84,94,114,271,540],[1,2,3,5,6,8,9,13,24,28,40,85,95,115,272,
541],[1,2,3,5,6,8,12,13,14,24,30,34,39,40,45,88,95,116,274,285,542],[1,2,4,10,
11,23,33,90,92,109,284,543],[1,2,3,5,6,9,10,12,14,24,29,36,87,95,111,273,
544],[1,2,3,5,6,9,11,12,14,24,27,29,37,43,44,84,95,113,271,280,545],[1,2,3,4,
9,10,12,13,14,23,26,35,36,42,86,93,117,278,283,546],[1,2,3,4,7,10,12,13,23,35,
38,41,83,92,118,275,277,547],[1,2,3,4,9,10,11,12,14,23,27,31,36,44,91,92,112,
279,282,548],[1,2,4,9,11,23,31,32,91,93,110,279,281,549],[1,2,5,9,16,65,85,
143,550],[1,2,4,10,16,63,90,144,551],[1,2,3,4,9,11,13,15,21,23,28,31,58,64,91,
100,176,266,279,552],[1,2,3,4,8,11,12,13,14,15,16,21,23,44,45,47,53,56,58,71,
91,100,166,261,266,282,553],[1,2,3,4,9,10,12,14,15,20,21,23,26,36,46,48,62,86,
97,167,252,258,278,554],[1,2,3,4,10,11,12,13,14,15,16,20,21,23,42,44,48,52,53,
58,71,86,97,181,258,262,283,555],[1,2,3,4,9,10,11,12,14,16,20,21,23,31,36,52,
56,65,91,97,187,260,261,279,556],[1,2,3,4,11,12,14,16,20,21,23,32,37,55,56,70,
91,97,188,261,263,281,557],[1,2,4,10,11,16,20,23,26,33,52,63,86,96,170,262,
278,558],[1,2,3,4,7,11,12,14,17,20,23,37,38,59,68,83,96,165,259,275,559],[1,2,
3,4,10,12,13,15,21,23,26,35,48,62,86,100,156,258,278,560],[1,2,3,5,7,9,12,15,
22,24,27,38,47,49,67,84,99,182,257,271,561],[1,2,3,5,6,7,12,14,17,22,24,29,38,
50,59,68,87,99,183,268,273,562],[1,2,3,5,7,8,13,14,17,22,24,30,41,51,59,69,88,
99,184,269,274,563],[1,2,4,9,11,16,20,23,31,55,65,91,96,178,263,279,564],[1,2,
3,4,6,7,12,14,17,20,21,23,29,38,50,59,68,83,97,183,254,259,275,565],[1,2,3,4,
7,8,13,14,17,20,21,23,30,41,51,59,69,83,97,184,256,259,277,566],[1,2,3,5,8,9,
12,13,16,22,24,27,39,53,57,60,84,98,162,264,271,567],[1,2,3,5,7,9,13,16,22,24,
28,41,54,57,61,85,99,163,265,272,568],[1,2,3,5,9,10,12,13,15,19,22,24,27,35,
46,47,48,49,66,84,101,160,253,257,271,569],[1,2,3,5,8,9,11,12,13,14,15,16,22,
24,43,45,49,56,57,58,71,84,98,177,257,264,280,570],[1,2,3,4,7,8,12,13,17,21,
23,38,39,51,68,83,100,172,256,275,571],[1,2,3,4,6,7,8,13,17,21,23,40,41,50,51,
69,83,100,173,254,256,277,572],[1,2,3,4,6,7,8,13,17,21,23,40,41,50,51,69,82,
100,173,255,276,573],[1,2,4,10,11,16,20,23,32,33,52,55,70,91,96,189,260,263,
281,574],[1,2,3,4,9,10,11,13,14,15,16,20,23,42,43,46,52,57,58,71,86,96,190,
252,262,283,575],[1,2,4,10,11,16,20,23,32,33,52,55,70,90,96,189,267,284,576],[
1,2,3,5,9,10,11,13,14,15,16,19,22,24,42,43,46,52,57,58,71,84,101,190,253,264,
280,577],[1,2,3,4,10,11,12,13,14,15,16,20,21,23,42,44,48,52,53,58,71,91,97,
181,260,266,282,578],[1,2,3,4,7,12,15,23,38,66,67,83,104,135,275,579],[1,2,3,
5,9,12,17,24,27,68,84,105,129,271,580],[1,2,4,10,15,23,26,62,86,104,126,278,
581],[1,2,4,9,11,15,23,31,64,91,104,124,279,582],[1,2,3,4,7,12,16,17,23,38,60,
68,83,102,200,275,583],[1,2,3,4,6,8,13,16,17,23,40,61,69,82,102,201,276,584],[
1,2,4,10,16,23,26,63,86,102,191,278,585],[1,2,4,9,11,15,16,23,31,64,65,91,102,
210,279,586],[1,2,3,5,9,12,17,24,27,68,84,103,193,271,587],[1,2,3,5,9,13,17,
24,28,69,85,103,194,272,588],[1,2,3,5,6,12,14,15,17,24,29,67,68,87,103,195,
273,589],[1,2,4,10,11,16,23,33,70,90,102,221,284,590],[1,2,3,5,8,13,14,16,17,
24,30,61,69,88,103,207,274,591],[1,2,4,16,23,72,73,75,102,234,291,592],[1,2,4,
16,23,72,73,75,102,234,290,593],[1,2,4,11,16,20,23,55,73,75,96,235,291,594],[
1,2,3,4,13,16,21,23,54,72,75,100,236,290,595],[1,2,4,9,16,23,65,72,93,139,290,
596],[1,2,4,9,15,23,64,74,93,138,292,597],[1,2,4,10,15,23,62,74,92,140,292,
598],[1,2,4,10,16,23,63,73,92,141,291,599],[1,2,3,4,12,15,23,47,67,74,104,222,
292,600],[1,2,3,4,9,10,11,13,14,15,16,20,21,23,42,43,46,52,57,58,71,92,93,96,
97,100,102,104,190,288,289,293,294,298,300,301,601],[1,2,3,5,6,7,8,13,17,19,
22,24,40,41,50,51,69,94,95,98,99,101,103,105,173,286,287,295,296,297,299,302,
602],[1,2,4,5,19,20,23,76,77,239,240,303,603],[1,3,4,5,21,22,24,76,77,238,241,
303,604],[1,2,4,5,20,23,76,77,237,240,303,605],[1,18,81,606],[1,2,10,25,26,
607],[1,2,11,25,32,608],[1,3,8,25,34,609],[1,2,5,9,18,19,78,85,610],[1,3,5,8,
18,22,79,88,611],[1,3,5,7,18,22,79,89,612],[1,2,4,10,18,20,78,90,613],[1,2,4,
11,18,20,78,91,614],[1,3,4,6,18,80,82,107,242,615],[1,2,4,16,18,23,78,102,107,
245,304,616],[1,4,5,25,77,247,248,249,617],[1,2,3,6,9,10,11,12,14,27,29,31,33,
36,37,43,44,109,111,112,113,121,122,305,306,618],[1,2,3,6,8,9,10,12,13,14,26,
28,29,30,34,35,36,39,40,42,45,111,115,116,117,119,120,123,307,308,619],[1,2,
10,11,16,26,33,52,63,73,108,109,141,144,170,191,208,335,346,434,620],[1,2,3,6,
7,8,9,12,13,16,27,28,38,40,53,65,72,114,115,139,143,159,211,212,336,337,436,
621],[1,2,3,6,8,9,11,13,15,16,28,31,32,40,57,58,64,65,72,74,110,115,138,139,
145,155,176,192,205,210,213,342,347,437,438,622],[1,2,3,7,10,11,12,13,15,16,
33,35,38,41,56,58,62,63,73,74,109,118,140,141,147,168,180,197,198,215,217,353,
357,435,439,623],[1,2,3,6,7,9,10,11,12,14,15,27,29,31,33,36,37,38,43,44,47,48,
49,64,67,111,112,113,114,121,122,128,158,161,175,182,203,213,306,318,330,338,
381,624],[1,2,3,6,7,9,10,11,12,14,15,17,27,29,31,33,36,37,38,43,44,47,48,49,
50,59,64,67,68,111,112,113,114,121,122,128,129,158,161,165,175,182,183,193,
195,204,206,306,318,319,331,343,344,382,384,625],[1,2,3,6,8,9,10,11,12,13,14,
15,16,26,27,28,29,30,31,35,36,39,40,42,44,45,46,47,48,49,52,53,56,58,62,64,65,
66,71,111,112,117,119,120,123,125,130,154,157,158,159,160,166,167,176,181,187,
192,203,205,209,214,307,314,316,333,338,339,340,341,349,385,387,626],[1,2,3,6,
8,9,10,11,12,13,14,15,16,27,28,29,30,31,34,35,36,39,40,42,44,45,47,48,52,53,
56,57,58,60,63,64,65,71,112,115,116,119,120,123,125,132,155,158,159,162,166,
176,179,181,187,192,205,209,211,214,308,312,316,332,336,339,340,342,348,383,
388,627],[1,2,3,6,8,9,10,11,12,13,14,15,16,28,29,30,31,33,34,35,36,37,39,40,
42,43,45,46,49,52,56,57,58,62,64,65,66,71,115,116,119,120,121,123,125,130,154,
155,164,176,177,180,187,190,192,203,205,211,214,308,310,313,332,333,341,342,
383,385,628],[1,2,3,6,8,9,10,12,13,14,15,26,28,29,30,35,36,39,40,42,45,46,48,
62,108,111,117,119,120,123,126,156,167,198,202,307,311,327,352,374,629],[1,2,
3,6,7,8,9,10,12,13,14,15,16,26,28,29,30,35,36,38,39,40,41,42,45,47,48,49,53,
54,57,61,62,63,67,111,117,118,119,120,123,127,133,156,157,161,163,174,179,185,
186,191,196,216,217,307,320,321,329,351,367,376,380,630],[1,2,3,6,9,10,11,12,
14,15,16,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,65,70,110,111,112,113,
121,122,124,136,154,175,178,187,188,189,209,210,212,214,306,309,325,349,350,
360,378,379,631],[1,2,3,9,10,11,12,14,16,31,32,33,36,37,43,44,52,55,56,65,70,
109,110,121,122,136,178,187,188,189,218,221,305,325,361,368,394,632],[1,2,3,6,
8,9,10,11,12,13,14,15,16,27,28,29,31,33,35,36,37,39,43,44,45,47,49,53,56,57,
58,60,62,63,65,71,111,112,113,119,121,122,132,137,155,157,159,162,166,168,177,
179,180,196,197,202,208,216,306,312,315,329,334,358,359,386,391,633],[1,2,3,6,
8,9,10,11,12,13,14,15,16,26,28,29,30,31,33,35,36,37,39,40,42,43,45,46,49,52,
56,57,58,60,63,64,65,71,111,117,119,120,121,123,125,132,154,155,168,169,170,
176,177,187,190,203,205,209,211,214,307,310,322,332,333,348,349,387,388,634],[
1,2,3,8,9,10,11,12,13,14,15,16,28,31,33,35,36,37,39,43,44,45,47,49,53,56,57,
58,62,63,64,66,71,109,119,121,122,130,137,157,164,166,168,176,177,179,180,197,
202,208,215,216,305,313,315,328,334,357,359,389,390,635],[1,2,3,6,9,10,11,12,
13,14,15,16,26,27,29,31,33,35,36,37,42,43,44,46,47,48,49,52,53,57,58,62,63,64,
66,71,111,112,113,117,121,122,130,137,154,157,158,160,167,170,179,180,181,190,
196,197,202,215,216,306,314,326,327,328,329,334,355,356,386,389,636],[1,2,3,9,
10,11,12,13,14,15,16,26,31,33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,62,63,
65,71,109,117,121,122,132,137,167,168,169,170,179,180,181,187,190,196,197,208,
215,216,305,322,326,335,355,356,357,358,359,390,391,637],[1,2,3,6,7,8,9,10,12,
13,14,15,17,26,28,29,30,35,36,38,39,40,41,42,45,47,48,49,50,51,59,62,67,68,69,
111,117,118,119,120,123,133,134,156,157,161,172,173,183,184,185,195,199,204,
220,307,320,324,343,362,365,375,392,638],[1,2,3,6,7,8,9,10,12,13,14,16,17,28,
29,30,34,35,36,38,39,40,41,42,45,50,51,53,54,57,59,61,63,68,69,115,116,118,
119,120,123,127,134,163,172,173,174,179,183,184,186,194,201,207,219,308,321,
324,345,364,366,377,393,639],[1,2,3,7,9,10,11,12,13,14,15,26,27,31,35,36,38,
41,42,44,46,47,48,49,62,64,66,67,74,108,112,117,118,126,130,133,140,154,156,
157,158,160,161,167,185,223,224,311,314,320,396,400,409,640],[1,2,3,7,8,9,10,
11,12,13,14,16,27,28,31,35,36,38,39,41,44,45,53,54,57,60,61,63,65,73,112,118,
119,127,132,141,155,159,162,163,174,179,186,226,229,312,321,397,401,410,641],[
1,2,3,7,9,10,11,12,13,14,15,26,27,31,32,35,36,38,42,44,46,47,48,49,62,64,66,
67,74,110,112,114,117,124,128,130,138,154,157,158,160,161,167,175,182,223,225,
309,314,318,396,399,411,642],[1,2,3,9,10,11,12,13,14,16,26,31,32,33,35,36,37,
42,43,52,55,56,60,63,65,70,72,110,117,121,132,136,139,168,169,170,178,187,188,
189,227,228,322,325,398,403,408,643],[1,2,3,7,9,10,11,12,13,14,15,26,27,31,35,
36,38,41,42,44,46,47,48,49,62,64,66,67,74,112,114,117,118,128,130,133,135,142,
154,156,157,158,160,161,167,171,175,182,185,222,223,224,225,314,318,320,323,
399,400,402,412,413,644],[1,2,3,6,9,10,11,12,14,17,27,29,31,33,36,37,43,44,68,
111,112,113,121,122,129,193,204,306,382,645],[1,2,3,6,9,10,11,12,14,15,17,27,
29,31,33,36,37,43,44,64,67,68,111,112,113,121,122,128,129,193,195,203,204,206,
213,306,381,382,384,646],[1,2,3,6,8,9,10,12,13,14,15,26,28,29,30,35,36,39,40,
42,45,62,111,117,119,120,123,126,198,202,307,374,647],[1,2,3,6,8,9,10,12,13,
14,17,26,28,29,30,35,36,39,40,42,45,68,69,111,117,119,120,123,134,194,199,204,
219,307,375,393,648],[1,2,3,6,8,9,10,12,13,14,15,16,17,28,29,30,34,35,36,39,
40,42,45,61,62,63,67,68,69,115,116,119,120,123,127,133,134,194,195,201,207,
216,217,219,220,308,376,377,392,393,649],[1,2,3,6,9,10,11,12,14,16,27,29,31,
33,36,37,43,44,65,70,111,112,113,121,122,136,209,212,218,221,306,378,394,
650],[1,2,3,9,10,11,12,14,15,16,31,33,36,37,43,44,64,65,70,109,121,122,124,
136,210,214,218,221,305,379,394,651],[1,2,3,6,8,9,10,12,13,14,16,17,26,28,29,
30,35,36,39,40,42,45,61,63,68,69,111,117,119,120,123,127,134,191,196,199,201,
204,207,307,375,377,380,652],[1,2,3,6,8,9,11,13,15,16,28,31,40,55,57,58,64,65,
115,124,143,146,155,176,178,192,205,213,342,371,404,421,489,653],[1,2,3,6,8,9,
11,12,13,15,16,27,28,31,40,49,53,55,57,58,64,65,67,70,115,128,136,145,146,150,
155,159,175,176,178,192,205,210,211,212,336,342,372,405,418,420,488,492,493,
654],[1,2,3,10,11,12,13,15,16,33,35,54,56,58,62,63,67,109,133,144,148,168,174,
180,197,198,215,357,369,406,423,485,655],[1,2,3,10,11,12,13,15,16,26,33,35,48,
52,54,56,58,61,62,63,109,126,127,147,148,149,156,168,170,174,180,191,197,208,
215,217,335,357,370,407,415,428,482,483,484,656],[1,2,3,6,9,10,12,14,15,16,29,
36,60,62,63,64,65,66,71,111,125,130,131,132,137,395,442,657],[1,2,3,9,10,12,
13,14,15,16,26,35,36,42,64,65,71,72,74,117,125,138,139,146,150,203,209,214,
387,497,499,658],[1,2,3,9,10,11,12,14,15,16,27,31,36,44,62,63,71,73,74,112,
137,140,141,148,149,196,202,216,386,498,500,659],[1,2,3,6,9,10,11,12,14,15,16,
27,29,31,33,36,37,43,44,60,62,63,64,65,66,71,111,112,113,121,122,125,130,131,
132,137,196,197,202,208,215,216,306,386,389,390,391,395,660],[1,2,3,6,8,9,10,
12,13,14,15,16,26,28,29,30,35,36,39,40,42,45,60,62,63,64,65,66,71,111,117,119,
120,123,125,130,131,132,137,192,203,205,209,211,214,307,383,385,387,388,395,
661],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,31,32,35,36,39,44,45,46,49,53,57,
58,60,63,64,65,67,110,112,119,124,128,132,146,154,155,159,162,175,176,179,192,
203,210,213,309,312,341,347,381,416,421,493,662],[1,2,3,7,8,9,10,11,12,13,14,
15,16,27,28,31,35,36,38,39,44,45,47,48,49,53,57,60,63,64,65,67,70,112,114,119,
128,132,136,150,155,158,159,161,162,175,179,182,205,209,212,312,318,337,340,
378,417,420,488,663],[1,2,3,7,9,10,11,12,13,14,15,16,26,31,33,35,36,37,38,41,
42,43,47,48,49,52,56,58,60,62,63,65,67,117,118,121,126,132,133,148,156,157,
161,168,169,170,180,185,187,198,202,215,217,320,322,328,353,374,422,423,482,
664],[1,2,3,8,9,10,11,12,13,14,15,16,26,27,28,31,35,36,39,42,44,45,46,47,48,
49,53,54,57,60,62,63,64,65,66,71,112,117,119,130,132,137,148,149,154,155,156,
157,158,159,160,162,167,174,179,191,196,198,202,216,217,312,314,351,352,367,
386,414,422,425,481,486,665],[1,2,3,7,8,9,10,11,12,13,14,15,16,28,31,33,35,36,
37,38,39,41,43,45,53,54,56,57,58,61,62,63,64,66,67,118,119,121,127,130,133,
148,149,163,164,168,174,176,179,180,186,197,198,208,216,217,313,321,353,359,
376,425,428,483,485,666],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,31,33,35,36,37,
38,41,42,43,47,48,49,52,56,59,60,62,63,65,67,68,69,117,118,121,132,133,134,
153,156,157,161,165,168,169,170,185,187,199,200,204,206,320,322,331,354,375,
424,426,487,667],[1,2,3,9,10,11,12,13,14,15,16,26,31,33,35,36,37,42,43,46,48,
52,56,60,61,62,63,65,108,117,121,126,127,132,149,156,167,168,169,170,187,191,
196,197,311,322,346,355,380,414,415,484,668],[1,2,3,7,8,9,10,11,12,13,14,15,
16,17,27,28,31,35,36,38,39,44,45,47,48,49,51,53,57,60,63,64,65,67,68,112,114,
119,128,129,132,153,155,158,159,161,162,172,175,179,182,193,200,204,220,312,
318,362,363,382,424,427,496,669],[1,2,3,9,10,11,12,13,14,15,16,26,27,31,33,35,
36,37,42,43,44,46,47,48,49,52,55,56,60,62,63,64,65,66,71,112,117,121,125,130,
132,146,150,154,157,158,160,167,168,169,170,175,178,187,203,209,210,212,213,
214,314,322,330,350,360,387,416,417,419,490,491,670],[1,2,3,8,9,10,11,12,13,
14,15,16,28,31,32,33,35,36,37,39,43,45,52,55,56,57,58,62,64,65,66,70,110,119,
121,124,130,136,146,150,155,164,176,178,180,187,188,189,205,210,211,213,214,
313,325,332,347,379,418,419,489,492,671],[1,2,3,9,10,11,12,13,14,15,16,26,31,
33,35,36,37,42,43,52,56,60,63,64,65,70,71,117,121,124,125,132,136,143,145,150,
168,169,170,187,203,209,210,214,322,379,387,431,473,475,672],[1,2,3,9,10,11,
12,13,14,15,16,26,27,31,35,36,42,44,46,47,48,49,62,64,65,66,67,70,71,112,117,
125,128,130,136,145,146,154,157,158,160,167,203,209,212,213,214,314,378,381,
387,432,474,476,673],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,31,35,36,39,44,45,
53,57,60,61,62,63,65,67,71,112,119,127,132,133,137,144,147,149,155,159,162,
179,196,202,216,217,312,376,386,433,471,477,674],[1,2,3,9,10,11,12,13,14,15,
16,26,27,31,35,36,42,44,46,47,48,49,61,62,63,64,66,71,112,117,126,127,130,137,
147,148,154,157,158,160,167,191,196,198,202,216,314,374,380,386,430,472,478,
675],[1,2,3,9,10,11,12,13,14,15,17,26,27,31,35,36,42,44,46,47,48,49,62,64,66,
68,69,112,117,129,130,134,151,152,154,157,158,160,167,193,199,204,314,375,382,
429,479,676],[1,2,3,9,10,11,12,13,14,16,26,31,33,35,36,37,42,43,52,56,60,61,
63,65,117,121,127,132,168,169,170,187,191,196,322,380,456,677],[1,2,3,9,10,11,
12,13,14,16,17,26,31,33,35,36,37,42,43,52,56,60,63,65,68,69,117,121,132,134,
168,169,170,187,199,204,322,375,469,678],[1,2,3,9,10,11,12,13,14,15,16,17,26,
31,33,35,36,37,42,43,52,56,60,62,63,65,68,69,117,121,126,132,134,168,169,170,
187,198,199,202,204,322,374,375,470,679],[1,2,3,7,9,10,12,13,14,15,16,26,35,
36,38,41,42,47,48,49,61,62,63,64,65,67,71,117,118,125,127,133,156,157,161,185,
191,196,203,209,214,320,380,387,452,468,680],[1,2,3,9,10,12,13,14,15,16,17,26,
35,36,42,46,48,62,64,65,68,69,71,108,117,125,126,134,156,167,199,203,204,209,
214,311,375,387,451,466,681],[1,2,3,9,10,11,12,13,14,15,16,17,26,27,31,35,36,
42,44,46,47,48,49,61,62,63,64,66,68,69,112,117,127,130,134,154,157,158,160,
167,191,196,199,204,314,375,380,450,467,682],[1,2,3,8,9,10,11,12,13,14,16,17,
27,28,31,35,36,39,44,45,53,57,60,63,65,68,112,119,129,132,155,159,162,179,193,
204,312,382,446,683],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,31,35,36,39,44,45,
53,57,60,63,64,65,67,112,119,128,132,155,159,162,179,203,213,312,381,459,
684],[1,2,3,8,9,10,11,12,13,14,15,17,28,31,33,35,36,37,39,43,45,58,62,64,66,
68,69,119,121,130,134,164,176,180,194,219,313,393,448,685],[1,2,3,7,9,10,11,
12,14,15,16,17,27,31,36,38,44,47,48,49,62,63,64,67,68,71,112,114,128,129,137,
158,161,175,182,193,196,202,204,216,318,382,386,447,467,686],[1,2,3,7,9,10,12,
13,14,15,16,17,26,35,36,38,41,42,47,48,49,62,64,65,67,68,69,71,117,118,125,
133,134,156,157,161,185,199,203,204,209,214,320,375,387,444,458,687],[1,2,3,7,
9,10,12,13,14,15,16,26,35,36,38,41,42,47,48,49,62,64,65,67,71,117,118,125,126,
133,156,157,161,185,198,202,203,209,214,320,374,387,443,457,688],[1,2,3,7,9,
10,11,12,14,15,16,27,31,36,38,44,47,48,49,62,63,64,67,71,112,114,128,137,158,
161,175,182,196,202,203,213,216,318,381,386,443,468,689],[1,2,3,9,10,11,12,13,
14,15,17,26,27,31,35,36,42,44,46,47,48,49,62,64,66,67,68,112,117,128,129,130,
154,157,158,160,167,193,203,204,213,314,381,382,444,466,690],[1,2,3,8,9,10,11,
12,13,14,16,17,27,28,31,35,36,39,44,45,53,57,60,63,65,68,69,112,119,132,134,
155,159,162,179,194,219,312,393,445,461,691],[1,2,3,9,10,11,12,13,14,15,17,26,
27,31,35,36,42,44,46,47,48,49,62,64,66,68,69,112,117,126,130,134,154,157,158,
160,167,198,199,202,204,314,374,375,447,460,692],[1,2,3,7,8,9,10,12,13,14,15,
16,17,28,35,36,38,39,41,45,53,54,57,61,63,64,65,68,69,71,118,119,125,127,134,
163,174,179,186,192,194,205,211,219,321,383,393,449,463,693],[1,2,3,9,10,11,
12,14,15,16,17,27,31,32,36,44,46,49,62,63,64,68,71,110,112,124,129,137,154,
175,193,196,202,204,216,309,382,386,450,460,694],[1,2,3,8,9,10,11,12,13,14,16,
17,27,28,31,35,36,39,44,45,53,57,60,63,65,68,70,112,119,129,132,136,155,159,
162,179,193,204,209,212,312,378,382,462,695],[1,2,3,7,9,10,11,12,14,15,16,27,
31,36,38,44,47,48,49,62,63,64,65,67,70,71,112,114,128,136,137,158,161,175,182,
196,202,209,212,216,318,378,386,452,457,696],[1,2,3,9,10,11,12,13,14,15,16,17,
26,27,31,35,36,42,44,46,47,48,49,62,64,65,66,68,70,112,117,129,130,136,154,
157,158,160,167,193,204,209,212,314,378,382,451,458,697],[1,2,3,8,9,10,11,12,
13,14,15,16,28,31,33,35,36,37,39,43,45,58,62,64,65,66,70,119,121,130,136,164,
176,180,218,221,313,394,453,698],[1,2,3,9,10,11,12,13,14,16,26,31,33,35,36,37,
42,43,52,56,60,63,65,70,117,121,132,136,168,169,170,187,218,221,322,394,454,
464,699],[1,2,3,9,10,11,12,14,15,16,31,32,33,36,37,43,52,55,56,62,63,65,70,71,
110,121,136,137,178,187,188,189,197,208,215,218,221,325,390,394,455,465,700],[
1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,111,112,113,117,119,120,
121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,
169,170,176,177,179,180,181,187,190,306,307,310,312,313,314,315,316,317,322,
326,395,701],[1,2,10,11,15,16,26,32,33,52,55,62,63,70,72,126,149,170,189,191,
197,228,398,415,456,702],[1,2,3,7,9,11,13,15,16,28,31,41,54,57,61,64,65,73,
124,146,155,163,192,213,226,397,421,459,703],[1,2,3,7,9,10,12,13,14,15,16,17,
27,35,36,38,47,48,49,60,62,63,64,65,66,67,68,74,132,148,150,153,157,158,161,
171,182,185,200,202,204,209,212,217,222,224,225,402,417,422,424,447,457,458,
704],[1,2,3,7,9,10,11,12,13,14,15,16,17,27,31,35,36,38,46,47,48,49,60,62,63,
64,65,66,67,68,74,132,146,148,153,154,157,160,161,175,182,200,202,203,204,210,
217,223,225,399,416,422,424,443,444,460,705],[1,2,3,7,8,9,12,13,15,16,17,27,
28,39,41,53,54,57,60,61,64,65,67,68,73,128,150,153,159,162,163,186,193,205,
212,220,226,229,401,420,427,446,462,706],[1,2,3,7,9,10,12,13,14,15,16,17,26,
27,35,36,38,46,47,48,49,60,62,63,64,65,66,67,68,74,132,149,150,153,156,158,
160,161,167,185,191,196,200,204,209,212,223,224,400,414,417,424,451,452,467,
707],[1,2,3,10,11,12,13,14,15,16,17,32,33,35,37,52,55,56,60,62,63,67,68,70,72,
133,148,153,168,169,188,189,198,199,206,215,227,228,403,423,426,469,470,708],[
1,2,3,7,9,10,11,12,14,15,16,17,26,31,36,38,46,48,49,60,62,63,64,65,67,68,74,
132,146,149,153,154,161,167,191,196,200,203,204,210,223,396,414,416,424,450,
466,468,709],[1,2,3,7,9,11,13,15,16,28,31,32,41,54,57,58,61,64,65,73,110,155,
163,176,210,213,226,347,397,459,710],[1,2,3,6,7,9,10,11,12,14,15,16,17,26,29,
31,36,38,46,48,49,50,52,56,59,62,64,65,67,68,74,111,154,161,167,183,187,195,
202,204,209,214,223,327,343,349,396,451,457,460,711],[1,2,3,7,9,10,11,12,13,
14,15,16,17,27,31,33,35,36,37,38,43,46,47,48,49,55,58,59,62,64,65,66,67,68,74,
121,154,157,160,161,165,175,178,180,182,202,204,206,209,210,215,223,225,328,
331,360,399,457,458,460,712],[1,2,3,7,8,9,10,11,12,13,14,16,17,28,30,31,36,41,
42,45,51,52,54,56,57,59,61,65,69,73,123,155,163,184,187,194,207,209,211,226,
345,348,397,461,463,713],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,27,29,31,35,36,
38,46,47,48,49,50,52,53,56,57,59,62,63,64,65,66,67,68,74,111,154,157,160,161,
175,179,182,183,187,195,196,204,209,214,216,223,225,329,343,349,399,450,452,
458,714],[1,2,10,11,16,26,32,33,52,55,63,70,72,108,170,189,191,228,346,398,
456,715],[1,2,3,7,9,10,11,12,14,15,16,17,26,31,33,36,37,38,43,46,48,49,52,55,
59,62,63,64,65,67,68,74,121,154,161,165,167,170,178,196,197,204,206,209,210,
223,331,355,360,396,450,451,452,716],[1,2,3,9,10,11,12,14,15,16,26,32,33,36,
37,43,44,46,48,52,55,56,62,63,70,72,122,167,170,188,189,215,216,218,221,228,
356,368,398,454,465,717],[1,2,3,10,11,12,13,14,15,16,32,33,35,37,52,55,56,58,
60,62,63,70,72,109,168,169,180,188,189,197,215,221,227,228,357,361,403,464,
465,718],[1,2,3,9,10,11,12,13,14,16,32,33,35,36,37,43,44,52,53,55,56,57,60,63,
70,72,122,168,169,179,188,189,196,208,218,221,227,228,358,368,403,455,464,
719],[1,2,3,7,8,9,10,11,12,13,14,15,17,26,28,31,35,36,38,39,45,46,48,49,51,58,
62,64,67,68,74,119,154,156,161,167,172,176,192,198,202,203,204,220,223,341,
352,362,396,443,460,466,720],[1,2,3,6,7,9,10,12,13,14,15,16,17,27,29,35,36,38,
47,48,49,50,53,57,59,62,63,64,66,67,68,74,111,157,158,161,171,179,182,183,185,
195,196,203,204,216,222,224,225,329,338,343,402,444,467,468,721],[1,2,3,7,8,9,
10,11,12,13,14,15,16,17,27,28,31,35,36,38,39,45,46,47,48,49,51,54,58,62,63,64,
66,67,68,74,119,154,157,160,161,172,174,175,176,182,192,196,203,204,217,220,
223,225,341,351,362,399,444,450,468,722],[1,2,3,6,7,9,10,12,13,14,15,17,26,27,
29,35,36,38,46,47,48,49,50,59,62,64,66,67,68,74,111,156,158,160,161,167,183,
185,195,202,203,204,223,224,327,338,343,400,443,447,466,723],[1,2,3,7,8,9,10,
12,13,14,15,16,17,27,28,30,36,39,41,42,45,47,48,51,53,54,57,59,60,61,64,65,69,
73,123,158,159,162,163,184,186,192,194,207,214,226,229,339,345,401,445,449,
724],[1,2,3,7,8,9,10,12,13,14,15,16,17,26,27,28,35,36,38,39,45,46,47,48,49,51,
53,62,64,65,66,67,68,74,119,156,158,159,160,161,167,172,185,198,202,204,205,
209,220,223,224,340,352,362,400,447,451,457,725],[1,2,3,7,8,9,10,12,13,14,15,
16,17,27,28,35,36,38,39,45,47,48,49,51,53,54,62,63,64,65,66,67,68,74,119,157,
158,159,161,171,172,174,182,185,196,204,205,209,217,220,222,224,225,340,351,
362,402,452,458,467,726],[1,2,3,7,9,10,11,12,13,14,15,17,27,31,33,35,36,37,38,
43,47,48,49,58,59,62,64,66,67,68,74,121,157,158,161,165,171,175,180,182,185,
202,203,204,206,213,215,222,224,225,328,330,331,402,443,444,447,727],[1,2,3,7,
8,9,12,13,16,17,27,28,38,39,41,51,53,54,57,60,61,65,68,73,114,159,162,163,172,
186,193,200,212,226,229,337,363,401,446,462,728],[1,2,3,6,7,8,9,12,13,16,17,
27,28,39,40,41,50,51,53,54,57,60,61,65,69,73,115,159,162,163,173,186,194,201,
211,226,229,336,364,401,445,463,729],[1,2,3,6,7,8,9,11,13,15,16,17,28,31,40,
41,50,51,54,57,58,61,64,65,69,73,115,155,163,173,176,192,194,201,205,226,342,
364,397,449,461,730],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,27,31,33,35,36,37,
38,43,46,47,48,49,52,59,62,63,64,66,67,68,74,121,156,158,160,161,165,167,170,
175,185,196,197,203,204,206,213,223,224,330,331,355,400,466,467,468,731],[1,2,
3,7,10,11,12,13,14,15,16,17,32,33,35,37,38,41,52,55,56,58,59,60,62,63,68,70,
72,118,165,168,169,180,188,189,198,199,200,217,227,228,353,354,403,469,470,
732],[1,2,10,11,16,26,32,33,52,55,63,70,72,109,170,189,208,221,228,335,361,
398,454,455,733],[1,2,3,7,9,10,11,12,13,14,15,26,27,31,35,36,38,46,47,48,49,
62,64,66,67,74,124,126,128,130,133,135,138,140,142,154,156,157,158,160,161,
167,171,175,182,185,222,223,224,225,396,399,400,402,409,411,412,413,441,734],[
1,2,3,6,9,10,12,13,14,15,16,26,29,35,36,46,47,48,49,53,57,60,62,63,64,65,66,
67,71,74,111,125,126,130,131,132,133,137,140,147,148,149,156,157,167,179,191,
196,202,216,217,223,224,327,329,395,409,414,422,430,472,477,481,498,735],[1,2,
3,6,9,10,12,13,14,15,16,29,35,36,47,49,53,54,57,60,61,62,63,64,65,66,71,73,
111,125,127,130,131,132,137,141,144,147,148,149,157,174,179,196,198,216,217,
226,229,329,395,410,425,433,471,478,486,500,736],[1,2,3,6,9,10,11,12,14,15,16,
27,29,31,36,46,47,48,49,52,56,60,62,63,64,65,66,67,71,74,111,124,125,128,130,
131,132,137,138,145,146,150,154,158,175,187,203,209,210,212,214,223,225,338,
349,395,411,416,417,432,473,476,490,499,737],[1,2,3,6,7,9,10,12,14,15,16,17,
29,36,38,47,48,49,50,59,60,62,63,64,65,66,67,68,71,74,111,125,130,131,132,135,
137,142,151,152,153,161,171,183,195,200,204,224,225,343,395,412,424,429,480,
494,501,738],[1,2,3,6,9,10,11,12,14,15,16,29,31,36,46,49,52,55,56,60,62,63,64,
65,66,70,71,72,111,125,130,131,132,136,137,139,143,145,146,150,154,178,187,
209,210,213,214,227,228,349,395,408,419,431,474,475,491,497,739],[1,2,3,9,10,
12,13,14,15,16,17,26,35,36,42,61,63,64,65,68,69,71,117,125,127,134,191,196,
199,203,204,209,214,375,380,387,740],[1,2,3,9,10,12,13,14,15,16,26,35,36,42,
61,62,63,64,65,71,117,125,126,127,191,196,198,202,203,209,214,374,380,387,
741],[1,2,3,9,10,12,13,14,15,16,17,26,35,36,42,64,65,68,69,71,117,125,134,199,
203,204,209,214,375,387,742],[1,2,3,9,10,11,12,14,15,16,17,27,31,36,44,62,63,
64,67,68,71,112,128,129,137,193,196,202,203,204,213,216,381,382,386,743],[1,2,
3,9,10,11,12,14,15,16,17,27,31,36,44,62,63,68,71,112,129,137,193,196,202,204,
216,382,386,744],[1,2,3,9,10,12,13,14,15,16,17,26,35,36,42,62,64,65,68,69,71,
117,125,126,134,198,199,202,203,204,209,214,374,375,387,745],[1,2,3,8,9,10,12,
13,14,15,16,17,28,35,36,39,45,61,62,63,64,65,67,68,69,71,119,125,127,133,134,
192,194,205,211,216,217,219,376,383,393,746],[1,2,3,9,10,11,12,14,15,16,27,31,
36,44,62,63,64,65,67,70,71,112,128,136,137,196,202,203,209,212,213,216,378,
381,386,747],[1,2,3,9,10,11,12,14,15,16,17,27,31,36,44,62,63,65,68,70,71,112,
129,136,137,193,196,202,204,209,212,216,378,382,386,748],[1,2,3,9,10,11,12,14,
15,16,31,33,36,37,43,62,63,64,65,70,71,121,124,136,137,197,208,210,214,215,
218,221,379,390,394,749],[1,2,3,9,10,11,12,13,14,15,16,26,31,33,35,36,37,42,
43,48,52,53,54,56,57,58,60,61,62,63,65,73,117,121,127,132,141,144,147,149,156,
168,169,170,174,179,180,187,191,197,208,216,217,226,229,322,359,367,369,370,
410,433,434,435,483,484,750],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,31,33,35,
36,37,39,43,45,46,47,48,49,53,55,58,62,64,65,66,67,74,119,121,124,128,130,138,
145,146,154,158,159,164,175,176,178,180,192,203,205,209,210,213,223,225,313,
330,340,341,360,372,411,432,438,489,493,751],[1,2,3,8,9,10,11,12,13,14,15,16,
27,28,31,35,36,39,44,45,49,52,53,55,56,57,58,60,63,64,65,70,72,112,119,132,
136,139,143,145,150,155,159,162,175,176,178,179,187,205,210,211,212,214,227,
228,312,332,350,371,372,408,431,436,437,488,492,752],[1,2,3,8,9,10,11,12,13,
14,15,16,26,28,31,33,35,36,37,39,43,45,46,47,48,49,52,54,58,62,63,64,66,67,74,
119,121,126,130,133,140,147,148,156,157,164,167,170,174,176,180,196,197,198,
202,215,217,223,224,313,328,351,352,355,370,409,430,439,482,485,753],[1,2,3,7,
8,9,10,11,12,13,14,15,17,28,31,33,35,36,37,38,39,43,45,47,48,49,51,58,59,62,
64,66,67,68,74,119,121,130,135,142,151,152,161,164,165,171,172,176,180,204,
206,220,224,225,313,331,362,373,412,429,440,495,754],[1,2,3,9,10,11,12,13,14,
16,26,31,33,35,36,37,42,43,52,56,60,63,65,75,117,121,132,168,169,170,187,230,
231,232,322,502,503,505,755],[1,2,3,8,9,10,11,12,13,14,16,27,28,31,35,36,39,
44,45,53,57,60,63,65,75,112,119,132,155,159,162,179,230,231,232,312,502,504,
506,756],[1,2,3,8,9,10,11,12,13,14,15,16,28,30,31,32,33,36,37,42,43,45,46,49,
52,55,56,57,58,64,65,70,71,110,121,123,125,136,143,150,154,155,176,177,178,
187,188,189,190,209,210,211,213,310,325,347,348,360,371,475,491,492,757],[1,2,
3,7,8,9,10,11,12,13,14,15,16,27,28,30,31,36,38,42,44,45,47,48,49,52,53,55,56,
58,64,65,67,71,112,114,123,125,128,145,146,158,159,161,166,175,176,178,181,
182,187,192,210,212,214,316,318,337,339,350,372,476,490,493,758],[1,2,3,7,8,9,
10,11,12,13,14,15,16,28,33,35,36,37,38,39,41,43,44,45,47,49,53,54,56,57,58,61,
62,63,71,118,119,122,127,137,144,149,157,163,166,168,174,177,179,180,186,196,
198,208,217,315,321,351,353,358,369,471,483,486,759],[1,2,3,7,8,9,10,11,12,13,
14,15,16,26,28,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,
61,62,63,67,71,117,118,119,122,127,133,137,147,148,149,156,157,161,163,166,
167,168,170,174,177,179,180,181,185,186,190,191,197,198,202,216,217,315,320,
321,326,334,352,353,367,370,477,478,481,484,485,486,760],[1,2,3,9,10,11,12,13,
14,15,16,26,33,35,36,37,42,43,44,46,48,52,53,54,57,58,62,63,71,108,117,122,
126,137,147,148,156,167,170,174,179,180,181,190,191,215,216,217,311,326,346,
356,367,370,472,481,482,761],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,30,31,32,
33,36,37,42,43,44,45,46,47,48,49,52,53,55,56,57,58,64,65,70,71,110,112,121,
123,124,125,136,145,146,150,154,155,158,159,166,175,176,177,178,181,187,188,
189,190,203,205,210,212,213,214,309,310,316,325,330,333,347,350,372,473,474,
488,489,490,491,762],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,29,30,35,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,66,67,68,69,71,
113,114,118,120,129,131,134,135,151,152,153,160,162,164,165,166,169,171,172,
173,177,181,182,183,184,185,190,193,195,199,200,206,220,317,319,323,324,344,
354,363,365,373,479,480,487,494,495,496,763],[1,2,3,9,10,11,12,14,15,16,26,33,
36,37,43,44,46,48,52,60,62,63,65,71,73,122,126,132,137,141,144,147,148,149,
167,170,191,196,197,208,215,216,356,391,407,414,415,433,434,472,500,764],[1,2,
3,8,9,10,12,13,14,15,16,27,28,30,36,42,45,47,48,53,60,63,64,65,67,71,72,123,
125,128,132,139,143,145,146,150,158,159,192,205,209,211,212,214,339,388,405,
417,420,431,436,476,497,765],[1,2,3,8,9,10,11,12,13,14,15,16,28,30,31,36,42,
45,52,56,57,62,64,65,66,71,72,123,124,125,130,139,145,146,150,155,187,192,203,
205,209,210,211,213,214,348,385,405,419,421,432,437,473,497,766],[1,2,3,8,9,
10,11,12,13,14,15,16,28,30,31,36,42,45,46,49,52,56,58,60,62,63,64,65,66,70,71,
74,123,125,130,132,136,138,143,145,146,150,154,176,187,192,203,205,209,210,
211,213,214,333,385,388,404,405,416,418,419,431,432,438,474,475,499,767],[1,2,
3,9,10,11,12,13,14,15,16,33,35,36,37,43,44,53,56,57,62,63,64,66,67,71,73,122,
130,133,137,141,147,148,149,168,179,196,197,198,202,208,215,216,217,358,389,
407,423,425,430,435,477,500,768],[1,2,3,9,10,11,12,13,14,15,16,33,35,36,37,43,
44,47,49,53,57,58,60,61,62,63,64,65,66,71,74,122,127,130,132,137,140,144,147,
148,149,157,179,180,196,197,198,202,208,215,216,217,334,389,391,406,407,422,
425,428,430,433,439,471,478,498,769],[1,2,3,6,9,10,12,14,15,16,29,36,60,62,63,
64,65,66,71,75,111,125,130,131,132,137,230,231,232,395,502,511,770],[1,2,10,
11,16,26,33,52,63,70,75,108,170,191,221,231,346,454,503,771],[1,2,10,11,16,26,
33,52,63,75,109,170,191,208,231,335,456,503,772],[1,2,3,10,11,12,13,15,16,17,
33,35,56,58,62,63,68,75,109,168,180,197,199,215,231,357,469,505,773],[1,2,3,7,
10,11,12,13,15,16,33,35,38,41,56,58,62,63,70,75,118,168,180,198,217,221,231,
353,464,505,774],[1,2,3,9,10,11,12,13,14,16,17,33,35,36,37,43,44,53,56,57,63,
68,75,122,168,179,196,199,208,231,358,469,505,775],[1,2,3,6,8,9,11,13,15,16,
28,31,40,57,58,64,65,75,115,155,176,192,205,213,230,342,459,506,776],[1,2,3,8,
9,10,12,13,14,15,16,17,27,28,30,36,42,45,47,48,53,64,65,68,75,123,158,159,192,
193,214,230,339,446,504,777],[1,2,3,6,8,9,12,13,16,17,27,28,40,53,65,68,75,
115,159,193,211,230,336,446,504,778],[1,2,3,7,9,12,13,16,17,27,28,38,53,65,69,
75,114,159,194,212,230,337,445,504,779],[1,2,3,8,9,10,11,12,13,14,15,16,28,30,
31,36,42,45,52,56,57,64,65,75,123,155,187,209,211,213,230,348,459,506,780],[1,
2,3,9,11,13,15,16,17,28,31,32,57,58,64,65,69,75,110,155,176,194,210,213,230,
347,461,506,781],[1,2,3,9,10,11,12,14,15,16,26,33,36,37,43,44,46,48,52,62,63,
75,122,167,170,191,215,216,231,356,456,503,782],[1,2,3,8,9,10,11,12,13,14,15,
16,28,31,35,36,39,45,46,49,52,55,56,57,58,64,65,70,71,74,119,124,125,136,138,
145,146,150,154,155,176,178,187,192,203,205,210,211,213,214,332,341,383,405,
418,421,438,473,474,489,491,492,499,783],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,31,35,36,39,45,47,48,49,52,53,56,57,58,64,65,67,70,71,72,119,125,128,136,
139,143,145,146,150,155,158,159,175,176,187,192,205,209,210,211,212,214,332,
340,383,404,405,418,420,436,437,475,476,488,490,493,497,784],[1,2,3,9,10,11,
12,13,14,15,16,31,33,35,36,37,43,47,49,53,54,56,57,58,61,62,63,67,71,74,121,
127,133,137,140,147,148,149,157,168,174,179,180,197,198,202,208,215,216,217,
328,359,390,407,423,428,439,477,478,483,485,486,498,785],[1,2,3,9,10,11,12,13,
14,15,16,26,31,33,35,36,37,43,46,48,52,53,56,57,58,61,62,63,71,73,121,126,127,
137,141,144,147,148,149,156,167,168,170,179,180,191,196,197,208,215,216,217,
355,359,390,406,407,415,428,434,435,471,472,481,482,484,500,786],[1,2,3,7,8,9,
11,12,13,15,16,27,28,31,39,41,49,53,54,55,57,58,60,61,64,65,73,75,145,159,162,
163,175,176,178,186,226,229,230,233,235,372,401,504,510,515,787],[1,2,3,10,11,
12,13,14,16,32,33,35,37,52,54,55,56,60,63,70,72,75,144,168,169,174,188,189,
227,228,231,233,236,369,403,505,509,514,788],[1,2,3,10,11,12,13,15,16,26,32,
33,35,48,52,54,55,58,62,63,70,72,75,147,156,170,174,180,189,228,231,233,236,
370,398,503,507,514,789],[1,2,3,7,9,11,13,16,28,31,41,54,55,57,61,65,73,75,
143,155,163,178,226,230,233,235,371,397,506,508,515,790],[1,2,10,11,16,26,32,
33,52,55,63,70,72,73,75,141,144,170,189,191,208,228,231,234,235,398,434,503,
509,512,791],[1,2,3,7,9,11,13,15,16,28,31,41,54,57,61,64,65,72,73,75,139,145,
155,163,205,210,226,230,234,236,397,437,506,510,513,792],[1,2,3,7,8,9,12,13,
16,27,28,39,41,53,54,57,60,61,65,72,73,75,139,143,159,162,163,186,211,212,226,
229,230,234,236,401,436,504,508,513,793],[1,2,3,10,11,12,13,14,15,16,32,33,35,
37,52,55,56,60,62,63,70,72,73,75,141,147,168,169,188,189,197,217,227,228,231,
234,235,403,435,505,507,512,794],[1,2,3,9,10,11,12,13,14,15,16,26,33,35,36,37,
42,43,44,46,48,52,53,54,56,57,58,60,61,62,63,65,71,73,117,122,127,132,137,141,
144,148,149,156,167,168,170,174,179,180,181,190,191,196,197,208,216,217,226,
229,326,358,367,380,391,410,414,428,434,471,481,483,484,500,795],[1,2,3,8,9,
10,11,12,13,14,15,16,26,28,33,35,36,37,39,43,44,45,46,47,48,49,52,53,56,57,58,
61,62,63,64,66,67,71,74,119,122,126,127,130,133,137,140,147,148,149,156,157,
166,167,168,170,177,179,180,191,197,198,202,215,216,217,223,224,315,352,356,
376,389,409,423,425,439,472,478,481,482,484,498,796],[1,2,3,9,10,11,12,13,14,
15,16,26,33,35,36,37,42,43,44,46,47,48,49,52,53,54,57,58,62,63,64,66,67,71,74,
117,122,126,130,133,137,140,147,148,149,156,157,167,170,174,179,180,181,190,
191,197,198,202,215,216,217,223,224,326,334,367,374,389,409,415,425,439,472,
477,482,485,486,498,797],[1,2,3,8,9,10,11,12,13,14,15,16,28,33,35,36,37,39,43,
44,45,47,49,53,54,56,57,58,60,61,62,63,65,67,71,73,119,122,127,132,133,137,
141,147,148,149,157,166,168,174,177,179,180,196,197,198,202,208,216,217,226,
229,315,334,351,376,391,410,422,428,435,477,478,483,485,486,500,798],[1,2,3,8,
9,10,11,12,13,14,15,16,27,28,30,31,36,42,44,45,47,48,49,52,53,55,56,57,58,60,
63,64,65,70,71,72,112,123,125,132,136,139,143,146,150,155,158,159,166,175,176,
178,181,187,205,209,210,211,212,214,227,228,316,348,350,378,388,408,417,418,
436,475,488,490,492,497,799],[1,2,3,8,9,10,11,12,13,14,15,16,28,30,31,33,36,
37,42,43,45,46,49,52,55,56,57,58,60,63,64,65,70,71,72,121,123,124,125,132,136,
139,145,146,150,154,155,176,177,178,187,190,203,205,209,210,211,213,214,227,
228,310,333,360,379,388,408,416,418,437,473,474,489,491,492,497,800],[1,2,3,8,
9,10,11,12,13,14,15,16,27,28,30,31,36,42,44,45,46,47,48,49,52,53,55,56,58,62,
64,65,66,67,71,74,112,123,124,125,128,130,138,145,146,150,154,158,159,166,175,
176,178,181,187,192,203,205,210,212,213,214,223,225,316,333,350,381,385,411,
419,420,438,473,476,489,491,493,499,801],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,30,31,33,36,37,42,43,45,46,47,48,49,52,53,56,57,58,62,64,65,66,67,70,71,74,
121,123,124,125,128,130,136,138,145,146,150,154,155,158,159,175,176,177,187,
190,192,203,205,210,212,213,214,223,225,310,330,339,379,385,411,419,421,438,
474,476,488,490,493,499,802],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,29,30,
35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,62,64,66,67,
68,69,71,74,113,120,128,129,131,133,134,135,142,151,152,153,160,162,164,165,
166,169,172,177,181,182,183,185,190,193,195,199,200,206,220,222,223,224,225,
317,344,365,384,392,413,426,427,440,479,480,487,495,496,501,803],[1,2,3,10,11,
12,13,15,16,26,33,35,48,52,54,58,62,63,70,147,156,170,174,180,191,221,370,454,
456,804],[1,2,3,9,11,13,15,16,17,28,31,55,57,64,65,69,143,155,178,194,213,371,
459,461,805],[1,2,3,10,11,12,13,16,17,33,35,54,56,63,68,70,144,168,174,199,
221,369,464,469,806],[1,2,3,9,11,12,13,15,16,17,27,28,31,49,53,55,58,64,65,68,
69,145,159,175,176,178,193,194,372,445,446,807],[1,2,3,7,8,11,12,13,14,15,16,
17,37,38,39,47,51,58,59,66,68,69,70,151,164,165,171,172,218,219,373,448,453,
808],[1,2,3,9,10,12,14,15,16,36,60,62,63,64,65,75,132,143,144,145,147,149,150,
214,216,230,231,232,431,433,502,809],[1,2,3,9,10,11,12,14,15,16,17,27,31,36,
46,47,48,49,62,63,64,66,67,68,74,124,128,130,138,147,148,151,152,154,158,175,
196,202,204,223,225,411,429,430,447,450,460,467,810],[1,2,3,7,9,10,12,14,15,
16,36,38,47,48,49,62,63,64,65,66,67,74,130,135,142,145,146,147,148,161,171,
196,202,203,209,224,225,412,430,432,443,452,457,468,811],[1,2,3,9,10,12,13,14,
15,16,17,26,35,36,46,47,48,49,62,64,65,66,67,68,74,126,130,133,140,145,146,
151,152,156,157,167,203,204,209,223,224,409,429,432,444,451,458,466,812],[1,2,
3,9,10,11,12,14,15,16,31,36,52,55,56,60,62,63,65,70,72,75,132,136,139,144,147,
149,178,187,216,227,228,230,231,232,408,433,502,507,509,813],[1,2,3,9,10,12,
13,14,15,16,35,36,53,54,57,60,61,63,64,65,73,75,127,132,141,143,145,150,174,
179,214,226,229,230,231,232,410,431,502,508,510,814],[1,2,3,9,10,11,12,13,14,
16,31,35,36,52,53,54,55,56,57,60,61,63,65,70,72,73,75,127,132,136,139,141,174,
178,179,187,226,227,228,229,230,231,232,233,234,235,236,408,410,502,512,513,
514,515,516,815],[1,2,3,9,12,13,16,17,27,28,53,65,68,69,72,139,143,159,193,
194,211,212,436,445,446,816],[1,2,3,9,11,13,15,16,17,28,31,57,64,65,69,72,139,
145,155,194,205,210,213,437,459,461,817],[1,2,3,8,11,12,13,14,15,16,17,37,39,
58,66,67,68,69,70,74,142,151,164,206,218,219,220,440,448,453,818],[1,2,3,10,
11,12,13,15,16,17,33,35,56,62,63,68,70,73,141,147,168,197,199,217,221,435,464,
469,819],[1,2,10,11,16,26,33,52,63,70,73,141,144,170,191,208,221,434,454,456,
820],[1,2,3,9,11,13,15,16,17,28,31,57,64,65,69,75,124,146,155,192,194,213,230,
421,461,506,821],[1,2,3,9,12,13,15,16,17,27,28,53,64,65,67,69,75,128,150,159,
194,205,212,230,420,445,504,822],[1,2,3,10,11,12,13,15,16,33,35,56,62,63,67,
70,75,133,148,168,198,215,221,231,423,464,505,823],[1,2,10,11,15,16,26,33,52,
62,63,70,75,126,149,170,191,197,221,231,415,454,503,824],[1,2,3,6,7,12,14,15,
16,17,29,38,47,50,59,60,66,68,71,75,131,152,171,183,200,232,442,494,511,825],[
1,2,3,6,12,14,15,16,17,29,60,66,67,68,71,74,75,131,142,152,153,195,232,442,
501,511,826],[1,2,4,16,20,73,76,237,517,827],[1,2,3,4,10,13,14,20,21,23,42,76,
86,90,92,97,100,240,283,288,518,828],[1,2,3,4,5,9,11,14,20,21,23,24,43,77,84,
85,93,96,97,241,280,289,519,829],[1,2,3,4,5,7,13,19,22,23,24,41,77,83,89,94,
99,101,239,277,286,521,830],[1,2,3,4,5,6,8,13,19,22,23,24,40,77,82,87,95,98,
101,239,276,287,520,831],[1,2,4,5,9,10,15,19,23,46,77,84,85,92,93,104,239,253,
301,519,832],[1,3,4,5,6,7,17,21,24,50,77,83,89,94,95,105,241,254,302,521,
833],[1,3,4,5,6,7,17,21,24,50,77,82,87,94,95,105,241,255,302,520,834],[1,2,4,
9,10,15,20,23,46,76,86,90,92,93,104,240,252,301,518,835],[1,2,4,10,11,16,20,
23,52,76,86,90,92,96,102,237,262,267,293,518,836],[1,2,3,4,5,9,13,16,21,22,23,
57,77,84,85,93,100,102,238,264,265,294,519,837],[1,3,4,5,7,8,17,21,22,24,51,
77,83,89,94,98,103,238,256,270,295,521,838],[1,3,4,5,6,7,17,21,22,24,50,77,82,
87,95,99,103,238,255,268,296,520,839],[1,2,4,11,16,20,23,55,76,96,237,240,517,
522,840],[1,2,4,16,20,75,76,237,517,841],[1,2,10,11,18,33,109,842],[1,2,10,18,
26,108,843],[1,2,3,6,8,13,16,17,18,40,61,69,78,79,80,201,242,243,244,245,246,
524,525,526,844],[1,2,4,10,11,16,20,26,33,52,63,90,91,109,170,208,260,335,531,
845],[1,2,3,4,6,9,10,12,14,15,21,27,29,36,47,48,64,82,86,111,158,203,258,338,
533,846],[1,2,3,4,6,7,9,10,12,14,15,17,21,29,36,38,48,49,50,59,67,68,82,86,
111,161,183,195,204,255,258,343,533,847],[1,2,3,5,6,9,10,12,14,15,19,26,29,36,
46,48,62,84,87,111,167,202,253,327,532,848],[1,2,3,5,6,9,10,12,13,14,15,16,22,
29,35,36,47,49,53,57,62,63,84,87,111,157,179,196,216,257,264,329,532,849],[1,
2,3,4,10,11,12,13,15,16,21,33,35,56,58,62,63,90,91,109,168,180,197,215,261,
266,357,531,850],[1,2,3,4,6,9,10,11,12,14,15,16,20,29,31,36,46,49,52,56,64,65,
82,86,111,154,187,209,214,252,262,349,533,851],[1,2,4,10,11,16,20,26,33,52,63,
90,108,170,191,267,346,530,852],[1,2,4,10,11,16,20,32,33,52,55,70,86,109,189,
221,262,361,529,853],[1,2,4,10,11,16,20,32,33,52,55,70,90,91,109,189,221,263,
267,361,531,854],[1,2,3,5,6,7,9,10,12,14,15,17,22,29,36,38,48,49,50,59,67,68,
84,87,111,161,183,195,204,257,268,343,532,855],[1,2,3,5,6,7,8,9,13,16,17,22,
28,40,41,50,51,54,57,61,69,85,87,88,115,163,173,194,201,265,268,269,364,534,
856],[1,2,3,5,6,7,8,9,13,16,17,22,28,40,41,50,51,54,57,61,69,84,87,115,163,
173,194,201,264,268,364,535,857],[1,2,3,5,7,8,9,12,13,16,17,22,27,38,39,51,53,
57,60,68,85,89,114,162,172,193,200,265,270,363,536,858],[1,2,3,4,9,10,11,12,
14,23,31,33,36,37,43,44,90,91,109,121,122,279,282,284,305,531,859],[1,2,3,4,6,
8,9,10,12,13,14,23,26,28,29,30,35,36,39,40,42,45,82,86,111,117,119,120,123,
276,278,283,307,533,860],[1,2,3,5,6,9,10,11,12,14,24,27,29,31,33,36,37,43,44,
84,87,111,112,113,121,122,271,273,280,306,532,861],[1,2,3,5,6,8,9,10,12,13,14,
24,28,29,30,34,35,36,39,40,42,45,85,87,88,115,116,119,120,123,272,273,274,285,
308,534,862],[1,2,4,10,11,16,23,26,32,33,52,55,63,70,72,86,91,170,189,228,278,
281,290,398,863],[1,2,3,4,7,9,11,13,16,23,28,31,41,54,57,61,65,73,83,91,155,
163,226,277,279,291,397,864],[1,2,3,4,7,9,10,11,12,14,15,23,26,31,36,38,46,48,
49,62,64,67,74,83,86,91,154,161,167,223,275,278,279,292,396,865],[1,2,3,4,9,
10,12,13,14,15,20,21,23,26,35,36,42,46,48,62,86,92,97,100,108,117,126,156,167,
252,258,278,288,311,537,554,560,866],[1,2,3,4,6,7,9,11,12,14,17,20,21,23,27,
29,37,38,43,44,50,59,68,83,93,96,97,113,114,129,165,183,254,259,275,289,319,
538,559,565,867],[1,2,3,5,7,9,10,12,13,15,19,22,24,27,35,38,41,46,47,48,49,66,
67,84,94,99,101,114,118,135,160,171,182,185,253,257,271,286,323,540,561,569,
868],[1,2,3,4,6,7,8,10,12,13,14,17,20,21,23,29,30,35,38,39,40,41,42,45,50,51,
59,68,69,83,92,97,100,118,120,134,172,173,183,184,254,256,259,275,277,288,324,
547,565,566,571,572,869],[1,2,3,4,9,10,11,12,14,16,20,21,23,31,32,33,36,37,43,
52,55,56,65,70,91,93,96,97,110,121,136,178,187,188,189,260,261,263,279,281,
289,325,549,556,557,564,574,870],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,19,22,24,
27,29,30,35,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,66,71,84,95,98,
101,113,120,131,160,162,164,166,169,177,181,190,253,257,264,271,280,287,317,
545,567,569,570,577,871],[1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,33,35,36,
37,42,43,44,46,48,52,53,57,58,62,63,71,86,93,96,97,117,122,137,167,170,179,
180,181,190,252,258,262,278,283,289,326,546,554,555,558,575,872],[1,2,3,4,8,9,
10,11,12,13,14,15,16,20,21,23,27,28,30,31,36,42,44,45,47,48,52,53,56,58,64,65,
71,91,92,97,100,112,123,125,158,159,166,176,181,187,260,261,266,279,282,288,
316,548,552,553,556,578,873],[1,2,4,10,11,16,23,26,33,52,63,86,109,170,208,
278,335,529,874],[1,2,4,10,11,16,23,26,33,52,63,90,108,170,191,284,346,530,
875],[1,2,3,5,6,9,10,12,14,15,24,27,29,36,47,48,64,84,87,111,158,203,271,338,
532,876],[1,2,3,5,7,9,12,13,16,24,27,28,38,53,65,85,89,114,159,212,272,337,
536,877],[1,2,3,5,6,8,9,12,13,16,24,27,28,40,53,65,84,87,115,159,211,271,336,
535,878],[1,2,3,4,6,9,10,12,14,15,23,26,29,36,46,48,62,82,86,111,167,202,278,
327,533,879],[1,2,4,10,11,16,23,32,33,52,55,70,90,91,109,189,221,281,361,531,
880],[1,2,3,5,6,12,14,15,16,24,29,60,66,71,87,131,273,442,881],[1,2,3,4,10,11,
12,13,16,23,33,35,54,56,63,90,144,168,174,284,369,551,882],[1,2,3,5,9,11,13,
16,24,28,31,55,57,65,85,143,155,178,272,371,550,883],[1,2,3,4,9,11,13,15,16,
20,21,23,28,31,55,58,64,65,91,96,100,104,124,146,176,178,205,213,263,266,279,
298,489,552,564,582,884],[1,2,3,4,7,8,11,12,13,14,15,17,20,21,23,37,38,39,51,
58,59,66,67,68,83,96,100,104,135,152,164,165,172,206,220,256,259,275,298,495,
559,571,579,885],[1,2,3,5,7,8,9,12,13,15,16,17,22,24,27,38,39,47,49,51,53,57,
60,67,68,84,98,99,105,129,153,162,172,182,200,220,257,264,271,297,496,561,567,
580,886],[1,2,3,4,10,11,12,13,15,16,20,21,23,26,33,35,48,52,58,62,63,86,96,
100,104,126,148,156,170,180,215,217,258,262,278,298,482,558,560,581,887],[1,2,
3,4,7,8,9,12,13,16,17,21,23,27,38,39,51,53,57,60,68,83,93,100,102,114,162,172,
193,200,256,275,294,363,538,571,583,888],[1,2,3,4,6,7,8,9,13,16,17,21,23,28,
40,41,50,51,54,57,61,69,82,93,100,102,115,163,173,194,201,255,276,294,364,539,
573,584,889],[1,2,3,4,9,10,11,12,14,15,16,20,23,27,31,36,44,49,52,55,56,64,65,
91,92,96,102,112,175,178,187,210,212,214,263,279,282,293,350,548,564,586,
890],[1,2,3,4,9,11,13,15,16,21,23,28,31,32,57,58,64,65,91,93,100,102,110,155,
176,210,213,266,279,281,294,347,549,552,586,891],[1,2,3,5,6,7,9,11,12,14,15,
17,22,24,27,29,37,38,43,44,47,49,50,59,67,68,84,95,99,103,113,165,182,183,193,
195,206,257,271,280,296,344,545,561,587,892],[1,2,3,5,7,8,9,12,13,16,17,22,24,
27,38,39,51,53,57,60,68,84,94,98,103,114,162,172,193,200,264,271,295,363,540,
567,587,893],[1,2,3,5,6,7,8,9,13,16,17,22,24,28,40,41,50,51,54,57,61,69,85,95,
99,103,115,163,173,194,201,265,272,296,364,541,568,588,894],[1,2,3,5,6,7,9,10,
12,14,15,17,22,24,29,36,38,48,49,50,59,67,68,87,95,99,103,111,161,183,195,204,
268,273,296,343,544,562,589,895],[1,2,3,5,6,7,8,12,13,14,16,17,22,24,30,34,39,
40,41,45,50,51,53,54,59,61,69,88,95,99,103,116,173,184,186,201,207,219,269,
274,285,296,366,542,563,591,896],[1,2,3,4,7,10,11,12,13,14,16,17,20,23,35,37,
38,41,52,56,59,60,68,83,92,96,102,118,165,169,199,200,259,275,277,293,354,547,
559,583,897],[1,2,4,10,11,16,20,23,26,33,52,63,86,92,96,102,108,170,191,262,
278,293,346,537,558,585,898],[1,2,3,4,9,10,12,13,14,15,16,21,23,26,35,36,42,
48,53,54,57,62,63,86,93,100,102,117,156,174,179,191,216,217,258,278,283,294,
367,546,560,585,899],[1,2,4,10,11,16,20,23,32,33,52,55,70,90,92,96,102,109,
189,221,267,284,293,361,543,576,590,900],[1,2,3,4,9,10,11,12,14,15,16,20,21,
23,31,36,52,56,64,65,71,91,97,102,104,124,125,145,150,187,203,210,260,261,279,
300,473,556,582,586,901],[1,2,3,4,9,10,12,14,15,16,20,21,23,26,36,46,48,62,63,
71,86,97,102,104,126,137,147,148,167,191,216,252,258,278,300,472,554,581,585,
902],[1,2,3,4,6,7,12,14,15,16,17,20,21,23,29,38,50,59,60,66,67,68,71,83,97,
102,104,131,135,151,153,183,195,200,254,259,275,300,480,565,579,583,903],[1,2,
3,5,9,10,12,13,15,17,19,22,24,27,35,46,47,48,49,66,68,69,84,101,103,105,129,
134,151,152,160,193,199,253,257,271,299,479,569,580,587,904],[1,2,3,5,6,7,9,
11,12,14,17,24,27,29,37,38,43,44,50,59,68,84,94,95,105,113,114,129,165,183,
271,280,302,319,540,545,580,905],[1,2,3,4,9,10,12,13,14,15,23,26,35,36,42,46,
48,62,86,92,93,104,108,117,126,156,167,278,283,301,311,537,546,581,906],[1,2,
3,4,7,9,10,12,13,15,23,27,35,38,41,46,47,48,49,66,67,83,92,93,104,114,118,135,
160,171,182,185,275,277,301,323,538,547,579,907],[1,2,3,4,9,10,11,12,14,15,23,
27,31,32,36,44,46,49,64,91,92,93,104,110,112,124,154,175,279,281,282,301,309,
548,549,582,908],[1,2,3,5,9,13,15,16,24,28,64,65,85,143,146,205,272,404,550,
909],[1,2,4,10,11,15,16,23,33,62,63,90,144,148,197,284,406,551,910],[1,2,3,5,
9,13,16,22,54,57,61,65,73,75,85,143,226,230,265,508,550,911],[1,2,4,10,11,16,
20,52,55,63,70,72,75,90,144,228,231,267,509,551,912],[1,2,4,10,11,16,20,23,52,
55,63,70,72,73,75,92,96,102,141,228,231,234,235,291,293,512,592,594,599,913],[
1,2,3,4,9,13,16,21,23,54,57,61,65,72,73,75,93,100,102,139,226,230,234,236,290,
294,513,593,595,596,914],[1,2,3,4,9,10,12,15,23,46,47,48,49,62,64,66,67,74,92,
93,104,138,140,142,222,223,224,225,292,301,441,597,598,600,915],[1,2,4,5,15,
19,20,23,76,77,104,239,240,303,603,916],[1,2,4,5,11,19,20,23,76,77,96,237,239,
240,303,522,603,605,917],[1,2,3,4,5,13,19,20,21,22,23,24,76,77,100,101,238,
239,240,241,303,523,603,604,918],[1,3,18,80,81,250,606,919],[1,2,10,25,26,106,
108,607,920],[1,2,9,11,25,31,32,106,110,608,921],[1,2,3,5,9,13,18,19,22,24,28,
78,79,80,85,101,243,272,610,922],[1,2,3,5,8,13,14,18,19,22,24,30,78,79,80,88,
101,243,274,611,923],[1,3,5,8,18,22,24,34,79,80,88,98,244,285,611,924],[1,2,3,
5,9,13,16,18,19,22,24,57,78,85,101,245,265,610,925],[1,3,5,7,8,17,18,22,24,51,
79,88,99,246,269,611,926],[1,3,5,7,8,17,18,22,24,51,79,89,98,246,270,612,
927],[1,2,4,10,11,16,18,20,23,52,78,90,96,245,267,613,928],[1,2,4,11,16,18,20,
23,55,78,91,96,245,263,614,929],[1,2,3,4,6,8,13,18,23,40,78,79,80,82,107,242,
243,244,276,304,524,615,930],[1,2,4,5,19,23,25,77,106,239,247,248,249,527,528,
617,931],[1,2,3,7,9,10,11,12,13,14,15,26,27,31,32,35,36,38,41,42,44,46,47,48,
49,62,64,66,67,74,108,110,112,114,117,118,124,126,128,130,133,135,138,140,142,
154,156,157,158,160,161,167,171,175,182,185,222,223,224,225,309,311,314,318,
320,323,396,399,400,402,409,411,412,413,441,640,642,644,734,932],[1,2,3,6,8,9,
10,12,13,14,15,26,28,29,30,34,35,36,39,40,42,45,46,48,62,108,111,115,116,117,
119,120,123,126,156,167,198,202,307,308,311,327,352,374,619,629,647,933],[1,2,
3,6,7,8,9,10,12,13,14,15,16,17,26,28,29,30,34,35,36,38,39,40,41,42,45,47,48,
49,50,51,53,54,57,59,61,62,63,67,68,69,111,115,116,117,118,119,120,123,127,
133,134,156,157,161,163,172,173,174,179,183,184,185,186,191,194,195,196,199,
201,204,207,216,217,219,220,307,308,320,321,324,329,343,345,351,362,364,365,
366,367,375,376,377,380,392,393,619,630,638,639,648,649,652,934],[1,2,3,6,7,9,
10,11,12,14,15,17,27,29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,109,111,
112,113,114,121,122,128,129,158,161,165,175,182,183,193,195,203,204,206,213,
305,306,318,319,330,331,338,343,344,381,382,384,618,624,625,645,646,935],[1,2,
3,6,9,10,11,12,14,15,16,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,65,70,
109,110,111,112,113,121,122,124,136,154,175,178,187,188,189,209,210,212,214,
218,221,305,306,309,325,349,350,360,361,368,378,379,394,618,631,632,650,651,
936],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,39,40,42,
43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,109,111,112,113,117,
119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,
167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,215,216,305,306,
307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,
359,386,389,390,391,395,618,633,635,636,637,660,701,937],[1,2,3,6,8,9,10,11,
12,13,14,15,16,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,
52,53,56,57,58,60,62,63,64,65,66,71,111,112,113,115,116,117,119,120,121,122,
123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,
176,177,179,180,181,187,190,192,203,205,209,211,214,306,307,308,310,312,313,
314,315,316,317,322,326,332,333,336,338,339,340,341,342,348,349,383,385,387,
388,395,619,626,627,628,634,661,701,938],[1,2,3,9,10,11,12,13,14,15,16,26,31,
32,33,35,36,37,42,43,46,48,52,55,56,60,61,62,63,65,70,72,108,110,117,121,126,
127,132,136,139,149,156,167,168,169,170,178,187,188,189,191,196,197,227,228,
311,322,325,346,355,380,398,403,408,414,415,456,484,643,668,677,702,715,939],[
1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,31,32,35,36,38,39,41,44,45,46,49,53,54,
57,58,60,61,63,64,65,67,73,110,112,118,119,124,127,128,132,141,146,154,155,
159,162,163,174,175,176,179,186,192,203,210,213,226,229,309,312,321,341,347,
381,397,401,410,416,421,459,493,641,662,684,703,710,940],[1,2,3,7,8,9,10,11,
12,13,14,15,16,17,27,28,31,35,36,38,39,41,44,45,47,48,49,51,53,54,57,60,61,63,
64,65,67,68,70,73,112,114,118,119,127,128,129,132,136,141,150,153,155,158,159,
161,162,163,172,174,175,179,182,186,193,200,204,205,209,212,220,226,229,312,
318,321,337,340,362,363,378,382,397,401,410,417,420,424,427,446,462,488,496,
641,663,669,683,695,706,728,941],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,27,31,
33,35,36,37,38,41,42,43,44,46,47,48,49,52,55,56,58,59,60,62,63,64,65,66,67,68,
69,71,74,112,114,117,118,121,125,126,128,130,132,133,134,135,142,146,148,150,
153,154,156,157,158,160,161,165,167,168,169,170,171,175,178,180,182,185,187,
198,199,200,202,203,204,206,209,210,212,213,214,215,217,222,223,224,225,314,
318,320,322,323,328,330,331,350,353,354,360,374,375,387,399,400,402,412,413,
416,417,419,422,423,424,426,443,444,447,457,458,460,482,487,490,491,644,664,
667,670,687,688,692,704,705,712,727,942],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,
26,27,28,31,35,36,38,39,41,42,44,45,46,47,48,49,51,53,54,57,60,62,63,64,65,66,
67,68,70,71,74,112,114,117,118,119,128,129,130,132,133,135,136,137,142,148,
149,150,153,154,155,156,157,158,159,160,161,162,167,171,172,174,175,179,182,
185,191,193,196,198,200,202,204,205,209,212,216,217,220,222,223,224,225,312,
314,318,320,323,337,340,351,352,362,363,367,378,382,386,399,400,402,412,413,
414,417,420,422,424,425,427,447,451,452,457,458,467,481,486,488,496,644,663,
665,669,686,696,697,704,707,725,726,943],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,
26,27,28,31,32,35,36,38,39,42,44,45,46,47,48,49,51,53,54,57,58,60,62,63,64,65,
66,67,68,71,74,110,112,114,117,119,124,128,129,130,132,137,138,146,148,149,
153,154,155,156,157,158,159,160,161,162,167,172,174,175,176,179,182,191,192,
193,196,198,200,202,203,204,210,213,216,217,220,223,225,309,312,314,318,341,
347,351,352,362,363,367,381,382,386,396,399,411,414,416,421,422,424,425,427,
443,444,450,460,466,468,481,486,493,496,642,662,665,669,689,690,694,705,709,
720,722,944],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,31,32,33,35,36,37,38,41,42,
43,47,48,49,52,55,56,58,59,60,62,63,65,67,68,69,70,72,110,117,118,121,126,132,
133,134,136,139,148,153,156,157,161,165,168,169,170,178,180,185,187,188,189,
198,199,200,202,204,206,215,217,227,228,320,322,325,328,331,353,354,374,375,
398,403,408,422,423,424,426,469,470,482,487,643,664,667,678,679,708,732,945],[
1,2,3,7,9,10,11,12,13,14,15,16,17,26,27,31,33,35,36,37,38,41,42,43,44,46,47,
48,49,52,55,56,59,60,61,62,63,64,65,66,67,68,69,71,74,108,112,117,118,121,125,
126,127,130,132,133,134,140,146,149,150,153,154,156,157,158,160,161,165,167,
168,169,170,175,178,185,187,191,196,197,199,200,203,204,206,209,210,212,213,
214,223,224,311,314,320,322,330,331,346,350,354,355,360,375,380,387,396,400,
409,414,415,416,417,419,424,426,450,451,452,466,467,468,484,487,490,491,640,
667,668,670,680,681,682,707,709,716,731,946],[1,2,3,6,7,8,9,10,11,12,13,14,15,
16,27,28,29,30,31,34,35,36,38,39,40,42,44,45,47,48,49,52,53,55,56,57,58,60,63,
64,65,67,70,71,72,112,114,115,116,119,120,123,125,128,132,136,139,143,145,146,
150,155,158,159,161,162,166,175,176,178,179,181,182,187,192,205,209,210,211,
212,214,227,228,308,312,316,318,332,336,337,339,340,342,348,350,371,372,378,
383,388,404,405,408,417,418,420,431,436,437,475,476,488,490,492,493,497,621,
627,654,663,752,758,765,784,799,947],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,
29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,
62,63,64,65,66,67,70,71,72,74,110,112,115,116,119,120,121,123,124,125,128,130,
132,136,138,139,143,145,146,150,154,155,158,159,162,164,166,175,176,177,178,
179,180,181,187,188,189,190,192,203,205,209,210,211,212,213,214,223,225,227,
228,308,309,310,312,313,316,325,330,332,333,336,339,340,341,342,347,348,350,
360,371,372,379,381,383,385,388,404,405,408,411,416,418,419,420,421,431,432,
436,437,438,473,474,475,476,488,489,490,491,492,493,497,499,622,627,628,653,
654,662,671,751,752,757,762,766,767,783,784,800,801,802,948],[1,2,3,9,10,11,
12,13,14,15,16,26,31,33,35,36,37,42,43,44,46,48,52,53,54,56,57,58,60,61,62,63,
65,71,73,108,109,117,121,122,126,127,132,137,141,144,147,148,149,156,167,168,
169,170,174,179,180,181,187,190,191,196,197,208,215,216,217,226,229,305,311,
322,326,335,346,355,356,357,358,359,367,369,370,380,390,391,406,407,410,414,
415,428,433,434,435,471,472,481,482,483,484,500,620,637,656,668,750,761,764,
786,795,949],[1,2,3,7,8,9,10,11,12,13,14,15,16,26,28,31,33,35,36,37,38,39,41,
42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,74,
109,117,118,119,121,122,126,127,130,132,133,137,140,141,144,147,148,149,156,
157,161,163,164,166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,
191,196,197,198,202,208,215,216,217,223,224,226,229,305,313,315,320,321,322,
326,328,334,335,351,352,353,355,356,357,358,359,367,369,370,374,376,389,390,
391,406,407,409,410,415,422,423,425,428,430,433,434,435,439,471,472,477,478,
481,482,483,484,485,486,498,500,623,635,637,655,656,664,666,750,753,759,760,
768,769,785,786,796,797,798,950],[1,2,3,9,10,12,13,14,15,16,17,26,35,36,42,46,
48,62,64,65,68,69,71,72,74,108,117,125,126,134,138,139,146,150,156,167,199,
203,204,209,214,311,375,387,451,466,497,499,658,681,742,951],[1,2,3,9,10,11,
12,14,15,16,17,27,31,32,36,44,46,49,62,63,64,68,71,73,74,110,112,124,129,137,
140,141,148,149,154,175,193,196,202,204,216,309,382,386,450,460,498,500,659,
694,744,952],[1,2,3,7,9,10,12,13,14,15,16,17,26,35,36,38,41,42,47,48,49,61,62,
63,64,65,67,68,69,71,72,74,117,118,125,126,127,133,134,138,139,146,150,156,
157,161,185,191,196,198,199,202,203,204,209,214,320,374,375,380,387,443,444,
452,457,458,468,497,499,658,680,687,688,740,741,745,953],[1,2,3,7,9,10,11,12,
14,15,16,17,27,31,36,38,44,47,48,49,62,63,64,65,67,68,70,71,73,74,112,114,128,
129,136,137,140,141,148,149,158,161,175,182,193,196,202,203,204,209,212,213,
216,318,378,381,382,386,443,447,452,457,467,468,498,500,659,686,689,696,743,
747,748,954],[1,2,3,6,7,8,9,10,12,13,14,15,16,26,28,29,30,35,36,38,39,40,41,
42,45,47,48,49,53,54,57,60,61,62,63,64,65,66,67,71,111,117,118,119,120,123,
125,126,127,130,131,132,133,137,156,157,161,163,174,179,185,186,191,192,196,
198,202,203,205,209,211,214,216,217,307,320,321,329,351,367,374,376,380,383,
385,387,388,395,443,457,630,647,661,688,741,955],[1,2,3,6,8,9,10,12,13,14,15,
16,17,26,28,29,30,35,36,39,40,42,45,46,48,60,62,63,64,65,66,68,69,71,108,111,
117,119,120,123,125,126,130,131,132,134,137,156,167,192,194,198,199,202,203,
204,205,209,211,214,219,307,311,327,352,374,375,383,385,387,388,393,395,451,
466,629,648,661,681,745,956],[1,2,3,6,7,8,9,10,12,13,14,15,16,17,26,28,29,30,
35,36,38,39,40,41,42,45,47,48,49,50,51,59,60,61,62,63,64,65,66,67,68,69,71,
111,117,118,119,120,123,125,127,130,131,132,133,134,137,156,157,161,172,173,
183,184,185,191,192,195,196,199,201,203,204,205,207,209,211,214,220,307,320,
324,343,362,365,375,377,380,383,385,387,388,392,395,444,452,458,468,638,652,
661,680,687,740,742,957],[1,2,3,6,7,8,9,10,12,13,14,15,16,17,26,28,29,30,35,
36,38,39,40,41,42,45,47,48,49,53,54,57,60,61,62,63,64,65,66,67,68,69,71,111,
117,118,119,120,123,125,127,130,131,132,133,134,137,156,157,161,163,174,179,
185,186,191,192,194,196,199,203,204,205,209,211,214,216,217,219,307,320,321,
329,351,367,375,376,380,383,385,387,388,393,395,449,463,630,648,661,693,746,
958],[1,2,3,6,7,9,10,11,12,14,15,16,17,27,29,31,33,36,37,38,43,44,47,48,49,50,
59,60,62,63,64,65,66,67,68,71,111,112,113,114,121,122,125,128,129,130,131,132,
137,158,161,165,175,182,183,193,195,196,197,202,203,204,206,208,213,215,216,
306,318,319,331,343,344,381,382,384,386,389,390,391,395,443,447,467,468,625,
646,660,686,689,743,744,959],[1,2,3,6,7,9,10,11,12,14,15,16,27,29,31,33,36,37,
38,43,44,47,48,49,60,62,63,64,65,66,67,70,71,111,112,113,114,121,122,125,128,
130,131,132,136,137,158,161,175,182,196,197,202,203,208,209,212,213,215,216,
218,221,306,318,330,338,378,381,386,389,390,391,394,395,452,457,624,650,660,
696,747,960],[1,2,3,6,9,10,11,12,14,15,16,17,27,29,31,32,33,36,37,43,44,46,49,
52,55,56,60,62,63,64,65,66,68,70,71,110,111,112,113,121,122,124,125,129,130,
131,132,136,137,154,175,178,187,188,189,193,196,197,202,204,208,209,210,212,
214,215,216,306,309,325,349,350,360,378,379,382,386,389,390,391,395,450,460,
631,645,660,694,748,961],[1,2,3,6,9,10,11,12,14,15,16,27,29,31,32,33,36,37,43,
44,46,49,52,55,56,60,62,63,64,65,66,70,71,110,111,112,113,121,122,124,125,130,
131,132,136,137,154,175,178,187,188,189,196,197,202,208,209,210,212,214,215,
216,218,221,306,309,325,349,350,360,378,379,386,389,390,391,394,395,455,465,
631,650,660,700,749,962],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,
31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,
68,69,71,111,112,113,117,119,120,121,122,123,125,126,130,131,132,134,137,154,
155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,
194,198,199,202,204,219,306,307,310,312,313,314,315,316,317,322,326,374,375,
393,395,447,460,470,647,648,679,692,701,963],[1,2,3,6,8,9,10,11,12,13,14,15,
16,17,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,
58,60,62,63,64,65,66,67,68,71,111,112,113,117,119,120,121,122,123,125,128,129,
130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,
179,180,181,187,190,193,195,203,204,206,213,306,307,310,312,313,314,315,316,
317,322,326,381,382,384,395,444,446,459,466,646,683,684,690,701,964],[1,2,3,6,
8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,
46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,68,69,71,111,112,113,117,119,120,
121,122,123,125,130,131,132,134,137,154,155,157,158,159,160,162,164,166,167,
168,169,170,176,177,179,180,181,187,190,194,199,204,219,306,307,310,312,313,
314,315,316,317,322,326,375,393,395,445,448,461,648,685,691,701,965],[1,2,3,6,
8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,
46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,68,70,71,111,112,113,117,119,120,
121,122,123,125,129,130,131,132,136,137,154,155,157,158,159,160,162,164,166,
167,168,169,170,176,177,179,180,181,187,190,193,204,209,212,218,221,306,307,
310,312,313,314,315,316,317,322,326,378,382,394,395,451,458,462,645,650,695,
697,701,966],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,70,71,111,112,
113,117,119,120,121,122,123,125,130,131,132,136,137,154,155,157,158,159,160,
162,164,166,167,168,169,170,176,177,179,180,181,187,190,209,212,218,221,306,
307,310,312,313,314,315,316,317,322,326,378,394,395,453,454,464,650,698,699,
701,967],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,68,69,71,
111,112,113,117,119,120,121,122,123,125,127,130,131,132,134,137,154,155,157,
158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,191,196,
199,201,204,207,306,307,310,312,313,314,315,316,317,322,326,375,377,380,395,
450,456,467,469,652,677,678,682,701,968],[1,2,3,9,10,11,12,13,14,15,16,17,26,
31,33,35,36,37,42,43,46,48,52,56,60,61,62,63,64,65,68,69,70,71,108,117,121,
124,125,126,127,132,134,136,143,145,149,150,156,167,168,169,170,187,191,196,
197,199,203,204,209,210,214,311,322,346,355,375,379,380,387,414,415,431,451,
466,469,473,475,484,668,672,678,681,740,969],[1,2,3,7,9,10,11,12,13,14,15,16,
26,31,33,35,36,37,38,41,42,43,47,48,49,52,56,58,60,61,62,63,64,65,67,70,71,
117,118,121,124,125,126,127,132,133,136,143,145,148,150,156,157,161,168,169,
170,180,185,187,191,196,198,202,203,209,210,214,215,217,320,322,328,353,374,
379,380,387,422,423,431,452,456,468,473,475,482,664,672,677,680,741,970],[1,2,
3,9,10,11,12,13,14,15,16,17,26,27,31,33,35,36,37,42,43,44,46,47,48,49,52,55,
56,60,61,62,63,64,65,66,68,69,71,112,117,121,125,126,127,130,132,134,137,146,
147,148,150,154,157,158,160,167,168,169,170,175,178,187,191,196,198,199,202,
203,204,209,210,212,213,214,216,314,322,330,350,360,374,375,380,386,387,416,
417,419,430,450,456,467,470,472,478,490,491,670,675,677,679,682,740,741,971],[
1,2,3,8,9,10,11,12,13,14,15,16,17,27,28,31,32,35,36,39,44,45,46,49,53,57,58,
60,61,62,63,64,65,67,68,71,110,112,119,124,127,128,129,132,133,137,144,146,
147,149,154,155,159,162,175,176,179,192,193,196,202,203,204,210,213,216,217,
309,312,341,347,376,381,382,386,416,421,433,446,450,460,471,477,493,662,674,
683,694,743,972],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,31,35,36,38,39,44,45,
47,48,49,53,57,60,61,62,63,64,65,67,70,71,112,114,119,127,128,132,133,136,137,
144,147,149,150,155,158,159,161,162,175,179,182,196,202,203,205,209,212,213,
216,217,312,318,337,340,376,378,381,386,417,420,433,443,459,468,471,477,488,
663,674,684,689,747,973],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,31,33,35,36,37,
38,41,42,43,47,48,49,52,56,59,60,62,63,64,65,67,68,69,70,71,117,118,121,124,
125,126,132,133,134,136,143,145,150,153,156,157,161,165,168,169,170,185,187,
198,199,200,202,203,204,206,209,210,214,320,322,331,354,374,375,379,387,424,
426,431,443,444,457,458,470,473,475,487,667,672,679,687,688,742,745,974],[1,2,
3,8,9,10,11,12,13,14,15,16,17,26,27,28,31,35,36,39,42,44,45,46,47,48,49,53,54,
57,60,62,63,64,65,66,67,68,70,71,112,117,119,125,128,129,130,132,136,137,145,
146,148,149,154,155,156,157,158,159,160,162,167,174,179,191,193,196,198,202,
203,204,209,212,213,214,216,217,312,314,351,352,367,378,381,382,386,387,414,
422,425,432,444,459,462,466,474,476,481,486,665,673,684,690,695,743,747,975],[
1,2,3,7,8,9,10,11,12,13,14,15,16,17,27,28,31,35,36,38,39,44,45,47,48,49,51,53,
57,60,61,62,63,64,65,67,68,70,71,112,114,119,127,128,129,132,133,136,137,144,
147,149,153,155,158,159,161,162,172,175,179,182,193,196,200,202,204,209,212,
216,217,220,312,318,362,363,376,378,382,386,424,427,433,447,452,457,462,467,
471,477,496,669,674,686,695,696,744,748,976],[1,2,3,8,9,10,11,12,13,14,15,16,
17,26,27,28,31,35,36,39,42,44,45,46,47,48,49,53,54,57,60,62,63,64,65,66,68,69,
70,71,112,117,119,129,130,132,134,136,137,148,149,151,152,154,155,156,157,158,
159,160,162,167,174,179,191,193,196,198,199,202,204,209,212,216,217,312,314,
351,352,367,375,378,382,386,414,422,425,429,446,451,458,462,479,481,486,665,
676,683,695,697,744,748,977],[1,2,3,9,10,11,12,13,14,15,16,17,26,27,31,33,35,
36,37,42,43,44,46,47,48,49,52,55,56,60,62,63,64,65,66,68,69,71,112,117,121,
125,126,129,130,132,134,146,150,151,152,154,157,158,160,167,168,169,170,175,
178,187,193,198,199,202,203,204,209,210,212,213,214,314,322,330,350,360,374,
375,382,387,416,417,419,429,447,460,469,470,479,490,491,670,676,678,679,692,
742,745,978],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,27,31,32,35,36,38,42,44,46,
47,48,49,61,62,63,64,66,67,68,69,71,74,110,112,114,117,124,126,127,128,129,
130,134,137,138,147,148,151,152,154,157,158,160,161,167,175,182,191,193,196,
198,199,202,204,216,223,225,309,314,318,374,375,380,382,386,396,399,411,429,
430,447,450,460,467,472,478,479,642,675,676,682,686,692,694,810,979],[1,2,3,7,
9,10,11,12,13,14,15,16,26,27,31,35,36,38,41,42,44,46,47,48,49,61,62,63,64,65,
66,67,70,71,74,112,114,117,118,125,126,127,128,130,133,135,136,137,142,145,
146,147,148,154,156,157,158,160,161,167,171,175,182,185,191,196,198,202,203,
209,212,213,214,216,222,223,224,225,314,318,320,323,374,378,380,381,386,387,
399,400,402,412,413,430,432,443,452,457,468,472,474,476,478,644,673,675,680,
688,689,696,811,980],[1,2,3,7,9,10,11,12,13,14,15,16,17,26,27,31,35,36,38,41,
42,44,46,47,48,49,62,64,65,66,67,68,69,70,71,74,108,112,117,118,125,126,128,
129,130,133,134,136,140,145,146,151,152,154,156,157,158,160,161,167,185,193,
199,203,204,209,212,213,214,223,224,311,314,320,375,378,381,382,387,396,400,
409,429,432,444,451,458,466,474,476,479,640,673,676,681,687,690,697,812,981],[
1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,111,112,113,117,119,120,
121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,
169,170,176,177,179,180,181,187,190,192,196,197,202,203,205,208,209,211,214,
215,216,306,307,310,312,313,314,315,316,317,322,326,383,385,386,387,388,389,
390,391,395,442,657,660,661,701,982],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,
27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,
58,60,62,63,64,65,66,67,70,71,74,110,111,112,113,114,117,119,120,121,122,123,
124,125,128,130,131,132,136,137,138,145,146,150,154,155,157,158,159,160,161,
162,164,166,167,168,169,170,175,176,177,178,179,180,181,182,187,188,189,190,
192,203,205,209,210,212,213,214,223,225,306,307,309,310,312,313,314,315,316,
317,318,322,325,326,330,333,337,338,339,340,341,347,349,350,360,372,378,379,
381,385,387,395,396,399,411,416,417,419,420,421,432,438,473,474,476,488,489,
490,491,493,499,624,626,631,642,662,663,670,673,701,737,751,758,762,801,802,
983],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,35,36,37,39,40,
42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,70,71,72,110,111,
112,113,117,119,120,121,122,123,124,125,130,131,132,136,137,139,143,145,146,
150,154,155,157,158,159,160,162,164,166,167,168,169,170,175,176,177,178,179,
180,181,187,188,189,190,203,205,209,210,211,212,213,214,227,228,306,307,309,
310,312,313,314,315,316,317,322,325,326,330,332,333,347,348,349,350,360,371,
372,378,379,387,388,395,398,403,408,416,417,418,419,431,436,437,473,474,475,
488,489,490,491,492,497,631,634,643,670,671,672,701,739,752,757,762,799,800,
984],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,
111,112,113,117,118,119,120,121,122,123,125,127,130,131,132,133,137,141,144,
147,148,149,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,
174,176,177,179,180,181,185,186,187,190,191,196,197,198,202,208,216,217,226,
229,306,307,310,312,313,314,315,316,317,320,321,322,326,329,334,351,352,353,
358,359,367,369,370,376,380,386,391,395,397,401,410,414,422,425,428,433,434,
435,471,477,478,481,483,484,485,486,500,630,633,641,665,666,674,701,736,750,
759,760,795,798,985],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,33,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,
65,66,67,71,74,108,111,112,113,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,137,140,147,148,149,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,196,197,198,
202,215,216,217,223,224,306,307,310,311,312,313,314,315,316,317,320,321,322,
326,327,328,329,334,346,351,352,353,355,356,367,370,374,376,380,386,389,395,
396,400,409,414,415,422,423,425,430,439,472,477,478,481,482,484,485,486,498,
629,630,636,640,664,665,668,675,701,735,753,760,761,796,797,986],[1,2,3,6,7,8,
9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,56,57,58,59,60,62,63,64,65,66,67,68,69,71,74,111,
112,113,114,117,118,119,120,121,122,123,125,128,129,130,131,132,133,134,135,
137,142,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,
169,170,171,172,173,175,176,177,179,180,181,182,183,184,185,187,190,193,195,
199,200,204,206,220,222,223,224,225,306,307,310,312,313,314,315,316,317,318,
319,320,322,323,324,326,331,343,344,354,362,363,365,373,375,382,384,392,395,
399,400,402,412,413,424,426,427,429,440,479,480,487,494,495,496,501,625,638,
644,667,669,676,701,738,754,763,803,987],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,
27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,
63,64,65,66,71,75,111,112,113,117,119,120,121,122,123,125,130,131,132,137,154,
155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,
230,231,232,306,307,310,312,313,314,315,316,317,322,326,395,502,503,504,505,
506,511,701,755,756,770,988],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,
29,30,31,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,56,58,59,62,64,65,
66,67,68,69,71,74,108,111,112,117,118,119,120,123,125,126,130,133,134,140,154,
156,157,158,159,160,161,166,167,172,173,176,181,183,184,185,187,192,195,198,
199,202,203,204,205,209,214,220,223,224,307,311,314,316,320,324,327,333,338,
339,340,341,343,349,352,362,365,374,375,385,387,392,396,400,409,443,447,451,
457,460,466,626,629,638,640,681,688,692,711,720,723,725,989],[1,2,3,6,7,9,10,
11,12,13,14,15,16,17,26,27,29,31,33,35,36,37,38,41,42,43,44,46,47,48,49,50,52,
53,57,58,59,62,63,64,66,67,68,71,74,111,112,113,114,117,118,121,122,128,129,
130,133,135,137,142,154,156,157,158,160,161,165,167,170,171,175,179,180,181,
182,183,185,190,193,195,196,197,202,203,204,206,213,215,216,222,223,224,225,
306,314,318,319,320,323,326,327,328,329,330,331,334,338,343,344,355,356,381,
382,384,386,389,399,400,402,412,413,443,444,447,466,467,468,624,625,636,644,
686,689,690,721,723,727,731,990],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,
29,30,31,34,35,36,38,39,40,41,42,44,45,47,48,50,51,52,53,54,56,57,58,59,60,61,
63,64,65,68,69,71,73,112,115,116,118,119,120,123,125,127,132,134,141,155,158,
159,162,163,166,172,173,174,176,179,181,183,184,186,187,192,194,201,205,207,
209,211,214,219,226,229,308,312,316,321,324,332,336,339,340,342,345,348,364,
366,377,383,388,393,397,401,410,445,449,461,463,627,639,641,691,693,713,724,
729,730,991],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,35,36,
38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,
67,68,69,71,74,111,112,114,117,118,119,120,123,125,127,128,130,133,134,135,
142,154,156,157,158,159,160,161,163,166,167,171,172,173,174,175,176,179,181,
182,183,184,185,186,187,191,192,195,196,199,203,204,205,209,214,216,217,220,
222,223,224,225,307,314,316,318,320,321,323,324,329,333,338,339,340,341,343,
349,351,362,365,367,375,376,380,385,387,392,399,400,402,412,413,444,450,452,
458,467,468,626,630,638,644,680,682,687,714,721,722,726,992],[1,2,3,9,10,11,
12,13,14,15,16,26,31,32,33,35,36,37,42,43,44,46,48,52,53,55,56,57,58,60,62,63,
65,70,71,72,109,110,117,121,122,132,136,137,139,167,168,169,170,178,179,180,
181,187,188,189,190,196,197,208,215,216,218,221,227,228,305,322,325,326,335,
355,356,357,358,359,361,368,390,391,394,398,403,408,454,455,464,465,632,637,
643,699,700,717,718,719,733,993],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,26,27,
29,31,32,33,35,36,37,38,42,43,44,46,47,48,49,50,52,53,55,56,57,58,59,62,63,64,
65,66,67,68,70,71,74,110,111,112,113,114,117,121,122,124,128,129,130,136,137,
138,154,157,158,160,161,165,167,170,175,178,179,180,181,182,183,187,188,189,
190,193,195,196,197,202,204,206,209,210,212,214,215,216,223,225,306,309,314,
318,319,325,326,327,328,329,331,334,343,344,349,350,355,356,360,378,379,382,
384,386,389,396,399,411,450,451,452,457,458,460,625,631,636,642,694,696,697,
711,712,714,716,994],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,29,31,33,35,
36,37,38,39,43,44,45,47,48,49,50,53,56,57,58,59,60,62,63,64,65,67,68,70,71,
111,112,113,114,119,121,122,128,129,132,136,137,150,155,157,158,159,161,162,
165,166,168,175,177,179,180,182,183,193,195,196,197,202,204,205,206,208,209,
212,216,218,221,306,312,315,318,319,329,331,334,337,340,343,344,358,359,378,
382,384,386,391,394,417,420,452,457,462,488,625,633,650,663,695,696,748,995],[
1,2,3,6,8,9,10,11,12,13,14,15,16,17,27,28,29,31,32,33,35,36,37,39,43,44,45,46,
47,49,52,53,55,56,57,58,60,62,63,64,65,67,68,70,71,110,111,112,113,119,121,
122,124,128,129,132,136,137,146,154,155,157,159,162,166,168,175,176,177,178,
179,180,187,188,189,192,193,195,196,197,202,203,204,206,208,209,210,212,213,
214,216,306,309,312,315,325,329,334,341,347,349,350,358,359,360,378,379,381,
382,384,386,391,416,421,450,460,462,493,631,633,646,662,694,695,747,996],[1,2,
3,6,7,8,9,10,11,12,13,14,15,16,17,26,28,29,30,31,33,35,36,37,38,39,40,41,42,
43,45,46,47,48,49,50,51,52,56,57,58,59,60,62,63,64,65,67,68,69,71,111,117,118,
119,120,121,123,125,132,133,134,153,154,155,156,157,161,165,168,169,170,172,
173,176,177,183,184,185,187,190,194,195,199,200,203,204,205,206,209,211,214,
219,220,307,310,320,322,324,331,332,333,343,348,349,354,362,365,375,387,388,
392,393,424,426,444,458,469,487,634,638,648,667,678,687,742,997],[1,2,3,6,7,8,
9,10,11,12,13,14,15,16,17,26,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,56,57,58,59,60,62,63,64,65,67,68,69,71,111,117,118,119,120,
121,123,125,126,132,133,134,148,154,155,156,157,161,168,169,170,172,173,176,
177,180,183,184,185,187,190,195,198,199,202,203,204,205,209,211,214,215,217,
220,307,310,320,322,324,328,332,333,343,348,349,353,362,365,374,375,387,388,
392,422,423,443,457,470,482,634,638,647,664,679,688,745,998],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,27,28,29,31,33,35,36,37,38,39,43,44,45,47,48,49,51,53,
56,57,58,60,62,63,64,65,67,68,71,111,112,113,114,119,121,122,128,129,132,137,
153,155,157,158,159,161,162,166,168,172,175,177,179,180,182,193,195,196,197,
200,202,203,204,206,208,213,216,220,306,312,315,318,329,330,334,338,358,359,
362,363,381,382,384,386,391,424,427,443,459,468,496,624,633,646,669,684,689,
743,999],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,29,31,33,35,36,37,38,39,
43,44,45,47,48,49,50,51,53,56,57,58,59,60,62,63,64,65,67,68,71,111,112,113,
114,119,121,122,128,129,132,137,153,155,157,158,159,161,162,165,166,168,172,
175,177,179,180,182,183,193,195,196,197,200,202,204,206,208,216,220,306,312,
315,318,319,329,331,334,343,344,358,359,362,363,382,384,386,391,424,427,446,
447,467,496,625,633,645,669,683,686,744,1000],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,17,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,49,50,51,52,53,54,
56,57,58,59,61,62,63,64,65,66,67,68,69,71,115,116,118,119,120,121,123,125,127,
130,133,134,148,149,154,155,163,164,168,172,173,174,176,177,179,180,183,184,
186,187,190,192,194,195,197,198,201,203,205,207,208,211,214,216,217,219,220,
308,310,313,321,324,332,333,341,342,345,353,359,364,366,376,377,383,385,392,
393,425,428,448,449,463,483,485,628,639,649,666,685,693,746,1001],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,17,26,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,71,111,117,118,
119,120,121,123,125,127,132,133,134,153,154,155,156,157,161,163,165,168,169,
170,174,176,177,179,185,186,187,190,191,196,199,200,201,203,204,205,206,207,
209,211,214,216,217,307,310,320,321,322,329,331,332,333,348,349,351,354,367,
375,376,377,380,387,388,424,426,452,456,468,487,630,634,652,667,677,680,740,
1002],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,28,29,30,31,33,35,36,37,39,40,
42,43,45,46,48,49,52,56,57,58,60,61,62,63,64,65,68,69,71,108,111,117,119,120,
121,123,125,126,127,132,134,149,154,155,156,167,168,169,170,176,177,187,190,
191,196,197,198,199,201,202,203,204,205,207,209,211,214,307,310,311,322,327,
332,333,346,348,349,352,355,374,375,377,380,387,388,414,415,451,466,470,484,
629,634,652,668,679,681,741,1003],[1,2,3,8,9,10,11,12,13,14,15,16,28,31,32,33,
35,36,37,39,43,44,45,47,49,52,53,55,56,57,58,62,63,64,65,66,70,71,109,110,119,
121,122,124,130,136,137,146,150,155,157,164,166,168,176,177,178,179,180,187,
188,189,197,202,205,208,210,211,213,214,215,216,218,221,305,313,315,325,328,
332,334,347,357,359,361,368,379,389,390,394,418,419,453,455,465,489,492,632,
635,651,671,698,700,749,1004],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,27,28,29,
30,31,34,35,36,39,40,42,44,45,47,48,52,53,56,57,58,60,61,62,63,64,65,67,68,69,
71,112,115,116,119,120,123,125,127,132,133,134,137,144,147,149,155,158,159,
162,166,176,179,181,187,192,194,195,196,201,202,205,207,209,211,214,216,217,
219,220,308,312,316,332,336,339,340,342,348,376,377,383,386,388,392,393,433,
445,461,471,477,627,649,674,691,746,1005],[1,2,3,6,8,9,10,11,12,13,14,15,16,
17,26,27,28,29,30,31,35,36,39,40,42,44,45,46,47,48,49,52,53,56,58,61,62,63,64,
65,66,68,69,71,111,112,117,119,120,123,125,126,127,130,134,137,147,148,154,
157,158,159,160,166,167,176,181,187,191,192,196,198,199,201,202,203,204,205,
207,209,214,216,307,314,316,333,338,339,340,341,349,374,375,377,380,385,386,
387,430,447,460,472,478,626,647,652,675,692,741,745,1006],[1,2,3,6,9,10,11,12,
13,14,15,16,17,26,27,29,31,33,35,36,37,42,43,44,46,47,48,49,52,53,57,58,62,63,
64,66,67,68,69,71,111,112,113,117,121,122,128,129,130,134,137,151,152,154,157,
158,160,167,170,179,180,181,190,193,195,196,197,199,202,203,204,206,213,215,
216,306,314,326,327,328,329,334,355,356,375,381,382,384,386,389,429,444,466,
479,636,645,646,676,690,743,744,1007],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,
27,28,29,30,31,35,36,39,40,42,44,45,46,47,48,49,52,53,56,58,61,62,63,64,65,66,
68,69,71,111,112,117,119,120,123,125,127,129,130,134,151,152,154,157,158,159,
160,166,167,176,181,187,191,192,193,194,196,199,201,203,204,205,207,209,214,
219,307,314,316,333,338,339,340,341,349,375,377,380,382,385,387,393,429,450,
467,479,626,648,652,676,682,740,742,1008],[1,2,3,9,10,11,12,13,14,15,16,26,31,
33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,62,63,64,65,70,71,109,117,121,
122,124,125,132,136,137,143,145,150,167,168,169,170,179,180,181,187,190,196,
197,203,208,209,210,214,215,216,218,221,305,322,326,335,355,356,357,358,359,
379,387,390,391,394,431,454,464,473,475,637,651,672,699,749,1009],[1,2,3,6,9,
10,11,12,13,14,15,16,17,26,27,29,31,33,35,36,37,42,43,44,46,47,48,49,52,53,57,
58,62,63,64,65,66,67,68,70,71,111,112,113,117,121,122,125,128,129,130,136,137,
145,146,154,157,158,160,167,170,179,180,181,190,193,195,196,197,202,203,204,
206,209,212,213,214,215,216,218,221,306,314,326,327,328,329,334,355,356,378,
381,382,384,386,387,389,394,432,451,458,474,476,636,646,650,673,697,747,748,
1010],[1,2,3,9,10,11,12,13,14,15,16,26,31,33,35,36,37,42,43,48,52,53,54,56,57,
58,60,61,62,63,64,65,70,71,73,75,117,121,124,125,127,132,136,141,143,144,145,
147,149,150,156,168,169,170,174,179,180,187,191,197,203,208,209,210,214,216,
217,226,229,230,231,232,322,359,367,369,370,379,387,410,431,433,434,435,473,
475,483,484,502,503,505,508,510,672,750,755,809,814,1011],[1,2,3,8,9,10,11,12,
13,14,15,16,27,28,31,35,36,39,44,45,49,52,53,55,56,57,58,60,61,62,63,64,65,67,
70,71,72,75,112,119,127,132,133,136,137,139,143,144,145,147,149,150,155,159,
162,175,176,178,179,187,196,202,205,210,211,212,214,216,217,227,228,230,231,
232,312,332,350,371,372,376,386,408,431,433,436,437,471,477,488,492,502,504,
506,507,509,674,752,756,809,813,1012],[1,2,3,9,10,11,12,13,14,15,16,17,26,31,
33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,62,63,65,68,69,71,75,109,117,121,
122,132,134,137,167,168,169,170,179,180,181,187,190,196,197,199,204,208,215,
216,230,231,232,305,322,326,335,355,356,357,358,359,375,390,391,469,502,503,
505,637,678,755,773,775,1013],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,
31,34,35,36,39,40,42,44,45,47,48,52,53,56,57,58,60,63,64,65,67,71,75,112,115,
116,119,120,123,125,128,132,155,158,159,162,166,176,179,181,187,192,203,205,
209,211,213,214,230,231,232,308,312,316,332,336,339,340,342,348,381,383,388,
459,502,504,506,627,684,756,776,780,1014],[1,2,3,6,8,9,10,11,12,13,14,15,16,
17,27,28,29,30,31,34,35,36,39,40,42,44,45,47,48,52,53,56,57,58,60,63,64,65,68,
71,75,112,115,116,119,120,123,125,129,132,155,158,159,162,166,176,179,181,187,
192,193,204,205,209,211,214,230,231,232,308,312,316,332,336,339,340,342,348,
382,383,388,446,502,504,506,627,683,756,777,778,1015],[1,2,3,9,10,11,12,13,14,
15,16,26,31,33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,61,62,63,65,71,75,
109,117,121,122,127,132,137,167,168,169,170,179,180,181,187,190,191,196,197,
208,215,216,230,231,232,305,322,326,335,355,356,357,358,359,380,390,391,456,
502,503,505,637,677,755,772,782,1016],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,27,
28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,
63,64,65,66,67,70,71,72,74,111,112,117,119,120,121,123,124,125,128,130,131,
132,136,137,138,139,143,145,146,150,154,155,157,158,159,160,166,167,168,169,
170,175,176,177,178,181,187,190,192,203,205,209,210,211,212,213,214,223,225,
227,228,307,310,314,316,322,330,332,333,338,339,340,341,348,349,350,360,378,
379,381,383,385,387,388,395,404,405,408,411,416,417,418,419,420,421,431,432,
436,437,438,473,474,475,476,488,489,490,491,492,493,497,499,626,634,658,661,
670,672,673,737,739,765,766,767,783,784,799,800,801,802,1017],[1,2,3,6,8,9,10,
11,12,13,14,15,16,26,27,28,29,31,33,35,36,37,39,42,43,44,45,46,47,48,49,52,53,
54,56,57,58,60,61,62,63,64,65,66,67,71,73,74,111,112,113,117,119,121,122,125,
126,127,130,131,132,133,137,140,141,144,147,148,149,154,155,156,157,158,159,
160,162,166,167,168,170,174,177,179,180,181,190,191,196,197,198,202,208,215,
216,217,223,224,226,229,306,312,314,315,326,327,328,329,334,351,352,355,356,
358,359,367,374,376,380,386,389,390,391,395,406,407,409,410,414,415,422,423,
425,428,430,433,434,435,439,471,472,477,478,481,482,483,484,485,486,498,500,
633,636,659,660,665,674,675,735,736,764,768,769,785,786,795,796,797,798,
1018],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,31,35,36,38,39,41,44,45,49,52,
53,54,55,56,57,58,60,61,63,64,65,70,72,73,75,112,118,119,127,132,136,139,141,
143,145,150,155,159,162,163,174,175,176,178,179,186,187,205,210,211,212,214,
226,227,228,229,230,231,232,233,234,235,236,312,321,332,350,371,372,397,401,
408,410,431,436,437,488,492,502,504,506,508,510,512,513,514,515,516,641,752,
756,787,790,792,793,814,815,1019],[1,2,3,9,10,11,12,13,14,15,16,26,31,32,33,
35,36,37,42,43,48,52,53,54,55,56,57,58,60,61,62,63,65,70,72,73,75,110,117,121,
127,132,136,139,141,144,147,149,156,168,169,170,174,178,179,180,187,188,189,
191,197,208,216,217,226,227,228,229,230,231,232,233,234,235,236,322,325,359,
367,369,370,398,403,408,410,433,434,435,483,484,502,503,505,507,509,512,513,
514,515,516,643,750,755,788,789,791,794,813,815,1020],[1,2,3,9,10,11,12,13,14,
15,16,26,31,33,35,36,37,42,43,46,48,52,56,60,61,62,63,65,70,75,108,117,121,
126,127,132,136,149,156,167,168,169,170,187,191,196,197,218,221,230,231,232,
311,322,346,355,380,394,414,415,454,464,484,502,503,505,668,699,755,771,824,
1021],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,27,28,31,35,36,38,39,44,45,47,48,
49,53,57,60,63,64,65,67,68,69,70,75,112,114,119,128,132,134,136,150,155,158,
159,161,162,175,179,182,194,205,209,212,219,230,231,232,312,318,337,340,378,
393,417,420,445,461,488,502,504,506,663,691,756,779,822,1022],[1,2,3,8,9,10,
11,12,13,14,15,16,17,27,28,31,32,35,36,39,44,45,46,49,53,57,58,60,63,64,65,67,
68,69,75,110,112,119,124,128,132,134,146,154,155,159,162,175,176,179,192,194,
203,210,213,219,230,231,232,309,312,341,347,381,393,416,421,445,461,493,502,
504,506,662,691,756,781,821,1023],[1,2,3,7,9,10,11,12,13,14,15,16,26,31,33,35,
36,37,38,41,42,43,47,48,49,52,56,58,60,62,63,65,67,70,75,117,118,121,126,132,
133,136,148,156,157,161,168,169,170,180,185,187,198,202,215,217,218,221,230,
231,232,320,322,328,353,374,394,422,423,454,464,482,502,503,505,664,699,755,
774,823,1024],[1,2,3,9,10,11,12,13,14,15,16,26,31,33,35,36,37,42,43,48,52,53,
54,56,57,58,60,61,62,63,65,70,73,117,121,127,132,136,141,144,147,149,156,168,
169,170,174,179,180,187,191,196,197,208,216,217,218,221,226,229,322,359,367,
369,370,380,394,410,433,434,435,454,456,464,483,484,677,699,750,804,820,
1025],[1,2,3,9,10,11,12,13,14,15,16,17,26,31,33,35,36,37,42,43,48,52,53,54,56,
57,58,60,61,62,63,65,68,69,70,73,117,121,127,132,134,136,141,144,147,149,156,
168,169,170,174,179,180,187,191,197,199,204,208,216,217,218,221,226,229,322,
359,367,369,370,375,394,410,433,434,435,454,464,469,483,484,678,699,750,806,
819,1026],[1,2,3,8,9,10,11,12,13,14,15,16,17,27,28,31,35,36,39,44,45,49,52,53,
55,56,57,58,60,63,64,65,68,69,70,72,112,119,129,132,134,136,139,143,145,150,
155,159,162,175,176,178,179,187,193,194,204,205,210,211,212,214,219,227,228,
312,332,350,371,372,382,393,408,431,436,437,445,446,461,488,492,683,691,752,
807,816,1027],[1,2,3,8,9,10,11,12,13,14,15,16,17,27,28,31,35,36,39,44,45,49,
52,53,55,56,57,58,60,63,64,65,67,68,69,70,72,112,119,128,132,134,136,139,143,
145,150,155,159,162,175,176,178,179,187,194,203,205,210,211,212,213,214,219,
227,228,312,332,350,371,372,381,393,408,431,436,437,445,459,461,488,492,684,
691,752,805,817,1028],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,28,31,33,35,36,37,
38,39,43,45,47,48,49,51,58,59,62,64,65,66,67,68,69,70,74,119,121,130,134,135,
136,142,151,152,161,164,165,171,172,176,180,194,204,206,218,219,220,221,224,
225,313,331,362,373,393,394,412,429,440,448,453,495,685,698,754,808,818,
1029],[1,2,3,9,10,11,12,13,14,15,16,17,26,27,31,35,36,42,44,46,47,48,49,61,62,
63,64,65,66,67,68,69,70,71,112,117,125,126,127,128,130,134,136,145,146,154,
157,158,160,167,191,196,198,199,202,203,204,209,212,213,214,314,374,375,378,
380,381,387,432,447,450,460,467,474,476,673,682,692,740,741,742,745,1030],[1,
2,3,9,10,11,12,13,14,15,16,17,26,27,31,35,36,42,44,46,47,48,49,61,62,63,64,65,
66,67,68,70,71,112,117,126,127,128,129,130,136,137,147,148,154,157,158,160,
167,191,193,196,198,202,203,204,209,212,213,216,314,374,378,380,381,382,386,
430,444,451,458,466,472,478,675,690,697,743,744,747,748,1031],[1,2,3,9,10,11,
12,13,14,15,16,26,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,62,63,70,
71,72,75,108,117,122,126,137,147,148,156,167,170,174,179,180,181,188,189,190,
191,215,216,217,218,221,228,231,233,236,311,326,346,356,367,368,370,398,454,
456,465,472,481,482,503,507,514,715,717,761,771,782,789,804,1032],[1,2,3,7,8,
9,10,11,12,13,14,15,16,17,27,28,30,31,36,38,39,41,42,44,45,47,48,49,51,52,53,
54,55,56,57,58,59,60,61,64,65,67,68,69,71,73,75,112,114,123,125,128,145,146,
158,159,161,162,163,166,172,175,176,178,181,182,184,186,187,192,193,194,200,
207,210,212,214,226,229,230,233,235,316,318,337,339,345,350,363,372,401,445,
446,449,462,476,490,493,504,510,515,724,728,758,777,779,787,807,1033],[1,2,3,
7,8,9,10,11,12,13,14,15,16,17,28,30,31,32,33,36,37,41,42,43,45,46,49,51,52,54,
55,56,57,58,59,61,64,65,69,70,71,73,75,110,121,123,125,136,143,150,154,155,
163,176,177,178,184,187,188,189,190,194,207,209,210,211,213,226,230,233,235,
310,325,345,347,348,360,371,397,459,461,463,475,491,492,506,508,515,710,713,
757,780,781,790,805,1034],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,28,32,33,35,36,
37,38,39,41,43,44,45,47,49,52,53,54,55,56,57,58,59,60,61,62,63,68,70,71,72,75,
118,119,122,127,137,144,149,157,163,165,166,168,169,174,177,179,180,186,188,
189,196,198,199,200,208,217,218,221,227,228,231,233,236,315,321,351,353,354,
358,368,369,403,455,464,469,470,471,483,486,505,509,514,719,732,759,774,775,
788,806,1035],[1,2,3,6,7,9,10,12,14,15,16,17,29,36,38,47,48,49,50,59,60,62,63,
64,65,66,67,68,71,74,75,111,125,130,131,132,135,137,142,151,152,153,161,171,
183,195,200,204,224,225,230,231,232,343,395,412,424,429,442,480,494,501,502,
511,657,738,770,825,826,1036],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,28,30,31,
36,41,42,45,51,52,54,56,57,59,61,62,64,65,66,69,71,72,73,75,123,124,125,130,
139,145,146,150,155,163,184,187,192,194,203,205,207,209,210,211,213,214,226,
230,234,236,345,348,385,397,405,419,421,432,437,459,461,463,473,497,506,510,
513,703,713,766,780,792,817,821,1037],[1,2,3,7,8,9,10,12,13,14,15,16,17,27,28,
30,36,39,41,42,45,47,48,51,53,54,57,59,60,61,63,64,65,67,68,69,71,72,73,75,
123,125,128,132,139,143,145,146,150,153,158,159,162,163,184,186,192,193,194,
205,207,209,211,212,214,220,226,229,230,234,236,339,345,388,401,405,417,420,
427,431,436,445,446,449,462,476,497,504,508,513,706,724,765,777,793,816,822,
1038],[1,2,3,9,10,11,12,13,14,15,16,17,32,33,35,36,37,43,44,52,53,55,56,57,60,
62,63,64,66,67,68,70,71,72,73,75,122,130,133,137,141,147,148,149,153,168,169,
179,188,189,196,197,198,199,202,206,208,215,216,217,218,221,227,228,231,234,
235,358,368,389,403,407,423,425,426,430,435,455,464,469,470,477,500,505,507,
512,708,719,768,775,794,819,823,1039],[1,2,3,9,10,11,12,14,15,16,26,32,33,36,
37,43,44,46,48,52,55,56,60,62,63,65,70,71,72,73,75,122,126,132,137,141,144,
147,148,149,167,170,188,189,191,196,197,208,215,216,218,221,228,231,234,235,
356,368,391,398,407,414,415,433,434,454,456,465,472,500,503,509,512,702,717,
764,782,791,820,824,1040],[1,2,3,6,7,9,10,11,12,13,14,15,16,17,26,27,29,31,35,
36,38,46,47,48,49,50,52,53,56,57,59,60,62,63,64,65,66,67,68,71,74,111,124,125,
126,128,130,131,132,133,135,137,138,140,142,145,146,147,148,149,150,151,152,
153,154,156,157,158,160,161,167,171,175,179,182,183,185,187,191,195,196,200,
202,203,204,209,210,212,214,216,217,222,223,224,225,327,329,338,343,349,395,
396,399,400,402,409,411,412,413,414,416,417,422,424,429,430,432,441,443,444,
447,450,451,452,457,458,460,466,467,468,472,473,476,477,480,481,490,494,498,
499,501,704,705,707,709,711,714,721,723,734,735,737,738,810,811,812,1041],[1,
2,10,11,16,26,32,33,52,55,63,70,72,73,75,108,109,141,144,170,189,191,208,221,
228,231,234,235,335,346,361,398,434,454,455,456,503,509,512,620,715,733,771,
772,791,820,1042],[1,2,3,6,7,8,9,11,13,15,16,17,28,31,32,40,41,50,51,54,57,58,
61,64,65,69,72,73,74,75,110,115,138,139,145,155,163,173,176,192,194,201,205,
210,213,226,230,234,236,342,347,364,397,437,438,449,459,461,506,510,513,622,
710,730,776,781,792,817,1043],[1,2,3,6,7,8,9,12,13,16,17,27,28,38,39,40,41,50,
51,53,54,57,60,61,65,68,69,72,73,75,114,115,139,143,159,162,163,172,173,186,
193,194,200,201,211,212,226,229,230,234,236,336,337,363,364,401,436,445,446,
462,463,504,508,513,621,728,729,778,779,793,816,1044],[1,2,3,7,10,11,12,13,14,
15,16,17,32,33,35,37,38,41,52,55,56,58,59,60,62,63,68,70,72,73,74,75,109,118,
140,141,147,165,168,169,180,188,189,197,198,199,200,215,217,221,227,228,231,
234,235,353,354,357,361,403,435,439,464,465,469,470,505,507,512,623,718,732,
773,774,794,819,1045],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,26,27,28,31,33,35,
36,37,38,39,43,45,46,47,48,49,51,52,53,54,55,58,59,62,63,64,65,66,67,68,74,
119,121,124,126,128,130,133,135,138,140,142,145,146,147,148,151,152,154,156,
157,158,159,160,161,164,165,167,170,171,172,174,175,176,178,180,182,185,192,
196,197,198,202,203,204,205,206,209,210,213,215,217,220,222,223,224,225,313,
328,330,331,340,341,351,352,355,360,362,370,372,373,396,399,400,402,409,411,
412,413,429,430,432,438,439,440,441,443,444,447,450,451,452,457,458,460,466,
467,468,482,485,489,493,495,712,716,720,722,725,726,727,731,734,751,753,754,
810,811,812,1046],[1,2,3,6,7,8,9,11,13,15,16,17,28,31,40,41,50,51,54,55,57,58,
61,64,65,69,73,75,115,124,143,146,155,163,173,176,178,192,194,201,205,213,226,
230,233,235,342,364,371,397,404,421,449,459,461,489,506,508,515,653,703,730,
776,790,805,821,1047],[1,2,3,6,7,8,9,11,12,13,15,16,17,27,28,31,39,40,41,49,
50,51,53,54,55,57,58,60,61,64,65,67,68,69,70,73,75,115,128,136,145,146,150,
153,155,159,162,163,173,175,176,178,186,192,193,194,201,205,210,211,212,220,
226,229,230,233,235,336,342,364,372,401,405,418,420,427,445,446,462,463,488,
492,493,504,510,515,654,706,729,778,787,807,822,1048],[1,2,3,10,11,12,13,14,
15,16,17,32,33,35,37,52,54,55,56,58,60,62,63,67,68,70,72,75,109,133,144,148,
153,168,169,174,180,188,189,197,198,199,206,215,221,227,228,231,233,236,357,
361,369,403,406,423,426,464,465,469,470,485,505,509,514,655,708,718,773,788,
806,823,1049],[1,2,3,10,11,12,13,15,16,26,32,33,35,48,52,54,55,56,58,61,62,63,
70,72,75,109,126,127,147,148,149,156,168,170,174,180,189,191,197,208,215,217,
221,228,231,233,236,335,357,361,370,398,407,415,428,454,455,456,482,483,484,
503,507,514,656,702,733,772,789,804,824,1050],[1,2,3,6,9,10,11,12,13,14,15,16,
29,31,35,36,46,47,49,52,53,54,55,56,57,60,61,62,63,64,65,66,70,71,72,73,75,
111,125,127,130,131,132,136,137,139,141,143,144,145,146,147,148,149,150,154,
157,174,178,179,187,196,198,209,210,213,214,216,217,226,227,228,229,230,231,
232,233,234,235,236,329,349,395,408,410,419,425,431,433,471,474,475,478,486,
491,497,500,502,507,508,509,510,511,512,513,514,515,516,736,739,770,809,813,
814,815,1051],[1,2,4,10,23,26,76,86,90,92,108,278,518,530,537,1052],[1,2,4,10,
11,23,33,76,86,90,91,92,109,284,518,529,531,543,1053],[1,2,3,4,5,6,9,10,12,14,
24,29,36,77,82,84,86,87,95,111,273,520,532,533,544,1054],[1,2,3,4,5,7,9,12,23,
24,27,38,77,83,84,85,89,93,94,114,271,275,519,521,536,538,540,1055],[1,2,3,4,
5,6,8,9,13,23,24,28,40,77,82,84,85,87,88,93,95,115,272,276,519,520,534,535,
539,541,1056],[1,2,3,4,9,10,11,13,14,15,16,20,21,23,42,43,46,52,57,58,71,76,
86,90,92,93,96,97,100,102,104,190,237,240,252,262,267,283,288,289,293,294,298,
300,301,518,522,575,601,828,835,836,1057],[1,2,3,4,5,6,7,8,13,17,19,21,22,23,
24,40,41,50,51,69,77,83,89,94,95,98,99,100,101,103,105,173,238,239,241,254,
256,270,277,286,287,295,296,297,299,302,521,523,572,602,830,833,838,1058],[1,
2,3,4,5,6,7,8,13,17,19,21,22,23,24,40,41,50,51,69,77,82,87,94,95,98,99,100,
101,103,105,173,238,239,241,255,268,276,286,287,295,296,297,299,302,520,523,
573,602,831,834,839,1059],[1,2,3,4,5,9,10,11,13,14,15,16,19,20,21,22,23,24,42,
43,46,52,57,58,71,77,84,85,92,93,96,97,100,101,102,104,190,238,239,241,253,
264,265,280,288,289,293,294,298,300,301,519,523,577,601,829,832,837,1060],[1,
2,4,11,16,20,23,55,73,75,76,96,235,237,240,517,522,827,840,841,1061],[1,2,10,
11,16,18,26,33,52,63,78,109,170,208,335,842,1062],[1,2,3,10,11,12,13,15,16,18,
33,35,56,58,62,63,79,109,168,180,197,215,357,842,1063],[1,2,10,11,16,18,26,33,
52,63,78,108,170,191,346,843,1064],[1,2,3,9,10,11,12,14,18,31,33,36,37,43,44,
80,109,121,122,305,842,1065],[1,3,4,6,7,17,21,25,50,82,83,247,254,255,1066],[
1,2,4,10,11,16,20,25,52,90,91,247,260,267,1067],[1,2,4,10,11,16,20,25,52,86,
91,247,260,262,1068],[1,3,5,7,8,17,22,25,51,88,89,248,269,270,1069],[1,2,4,10,
23,25,26,86,247,278,607,1070],[1,2,4,11,23,25,32,91,247,281,608,1071],[1,3,5,
8,24,25,34,88,248,285,609,1072],[1,2,4,10,18,20,23,76,78,86,90,92,107,240,304,
518,613,1073],[1,2,4,5,9,18,19,23,77,78,84,85,93,107,239,304,519,610,1074],[1,
2,3,4,6,9,10,11,12,14,27,29,31,33,36,37,43,44,82,86,109,111,112,113,121,122,
305,306,529,533,618,1075],[1,2,3,5,6,8,9,10,12,13,14,26,28,29,30,34,35,36,39,
40,42,45,84,87,111,115,116,117,119,120,123,307,308,532,535,619,1076],[1,2,4,
10,11,16,26,33,52,63,73,90,91,108,109,141,144,170,191,208,335,346,434,530,531,
551,620,1077],[1,2,3,5,6,7,8,9,12,13,16,27,28,38,40,53,65,72,85,87,88,89,114,
115,139,143,159,211,212,336,337,436,534,536,550,621,1078],[1,2,3,4,6,9,10,11,
12,14,23,27,29,31,33,36,37,43,44,90,91,92,109,111,112,113,121,122,279,282,284,
305,306,531,543,548,618,859,1079],[1,2,3,4,6,8,9,10,12,13,14,23,26,28,29,30,
34,35,36,39,40,42,45,82,86,93,111,115,116,117,119,120,123,276,278,283,307,308,
533,539,546,619,860,1080],[1,2,3,5,6,9,10,11,12,14,24,27,29,31,33,36,37,43,44,
84,87,95,109,111,112,113,121,122,271,273,280,305,306,532,544,545,618,861,
1081],[1,2,3,5,6,8,9,10,12,13,14,24,26,28,29,30,34,35,36,39,40,42,45,85,87,88,
95,111,115,116,117,119,120,123,272,273,274,285,307,308,534,541,542,544,619,
862,1082],[1,2,4,10,11,16,23,26,33,52,63,73,86,90,92,108,109,141,144,170,191,
208,278,284,291,335,346,434,537,543,599,620,1083],[1,2,3,4,6,7,8,9,12,13,16,
23,27,28,38,40,53,65,72,82,83,93,114,115,139,143,159,211,212,275,276,290,336,
337,436,538,539,596,621,1084],[1,2,3,4,6,8,9,11,13,15,16,23,28,31,32,40,57,58,
64,65,72,74,82,91,93,110,115,138,139,145,155,176,192,205,210,213,276,279,281,
290,292,342,347,437,438,539,549,596,597,622,1085],[1,2,3,4,7,10,11,12,13,15,
16,23,33,35,38,41,56,58,62,63,73,74,83,90,92,109,118,140,141,147,168,180,197,
198,215,217,275,277,284,291,292,353,357,435,439,543,547,598,599,623,1086],[1,
2,4,10,11,16,23,26,33,52,63,73,90,92,108,109,141,144,170,191,208,284,335,346,
434,530,543,620,875,1087],[1,2,4,10,11,16,23,26,33,52,63,73,86,92,108,109,141,
144,170,191,208,278,335,346,434,529,537,620,874,1088],[1,2,3,5,6,7,8,9,12,13,
16,24,27,28,38,40,53,65,72,85,89,95,114,115,139,143,159,211,212,272,336,337,
436,536,541,621,877,1089],[1,2,3,5,6,7,8,9,12,13,16,24,27,28,38,40,53,65,72,
84,87,94,114,115,139,143,159,211,212,271,336,337,436,535,540,621,878,1090],[1,
2,3,4,6,7,8,9,10,12,13,14,15,17,21,23,26,28,29,30,35,36,38,39,40,41,42,45,47,
48,49,50,51,59,62,67,68,69,82,86,100,111,117,118,119,120,123,133,134,156,157,
161,172,173,183,184,185,195,199,204,220,255,258,276,278,283,307,320,324,343,
362,365,375,392,533,560,573,638,847,860,1091],[1,2,3,5,6,8,9,10,11,12,13,14,
15,16,22,24,27,28,29,31,33,35,36,37,39,43,44,45,47,49,53,56,57,58,60,62,63,65,
71,84,87,98,111,112,113,119,121,122,132,137,155,157,159,162,166,168,177,179,
180,196,197,202,208,216,257,264,271,273,280,306,312,315,329,334,358,359,386,
391,532,567,570,633,849,861,1092],[1,2,3,5,6,9,10,11,12,13,14,15,16,19,22,24,
26,27,29,31,33,35,36,37,42,43,44,46,47,48,49,52,53,57,58,62,63,64,66,71,84,87,
101,111,112,113,117,121,122,130,137,154,157,158,160,167,170,179,180,181,190,
196,197,202,215,216,253,257,264,271,273,280,306,314,326,327,328,329,334,355,
356,386,389,532,569,577,636,848,849,861,1093],[1,2,3,4,9,10,11,12,13,14,15,16,
20,21,23,26,31,33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,62,63,65,71,90,91,
97,109,117,121,122,132,137,167,168,169,170,179,180,181,187,190,196,197,208,
215,216,260,261,266,279,282,284,305,322,326,335,355,356,357,358,359,390,391,
531,556,578,637,845,850,859,1094],[1,2,3,4,8,9,10,11,12,13,14,15,16,21,23,28,
31,33,35,36,37,39,43,44,45,47,49,53,56,57,58,62,63,64,66,71,90,91,100,109,119,
121,122,130,137,157,164,166,168,176,177,179,180,197,202,208,215,216,261,266,
279,282,284,305,313,315,328,334,357,359,389,390,531,552,553,635,850,859,
1095],[1,2,3,4,9,10,11,12,14,16,20,23,31,32,33,36,37,43,44,52,55,56,65,70,90,
91,96,109,110,121,122,136,178,187,188,189,218,221,263,267,279,282,284,305,325,
361,368,394,531,564,576,632,854,859,1096],[1,2,3,5,6,7,9,10,11,12,14,15,17,22,
24,27,29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,84,87,99,111,112,113,
114,121,122,128,129,158,161,165,175,182,183,193,195,204,206,257,268,271,273,
280,306,318,319,331,343,344,382,384,532,561,562,625,855,861,1097],[1,2,3,5,6,
7,8,9,10,12,13,14,16,17,22,24,28,29,30,34,35,36,38,39,40,41,42,45,50,51,53,54,
57,59,61,63,68,69,85,87,88,99,115,116,118,119,120,123,127,134,163,172,173,174,
179,183,184,186,194,201,207,219,265,268,269,272,273,274,285,308,321,324,345,
364,366,377,393,534,562,563,568,639,856,862,1098],[1,2,3,4,6,8,9,10,11,12,13,
14,15,16,20,23,26,28,29,30,31,33,35,36,37,39,40,42,43,45,46,49,52,56,57,58,60,
63,64,65,71,82,86,96,111,117,119,120,121,123,125,132,154,155,168,169,170,176,
177,187,190,203,205,209,211,214,252,262,276,278,283,307,310,322,332,333,348,
349,387,388,533,558,575,634,851,860,1099],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
20,21,23,26,27,28,29,30,31,35,36,39,40,42,44,45,46,47,48,49,52,53,56,58,62,64,
65,66,71,82,86,97,111,112,117,119,120,123,125,130,154,157,158,159,160,166,167,
176,181,187,192,203,205,209,214,252,258,262,276,278,283,307,314,316,333,338,
339,340,341,349,385,387,533,554,555,626,846,851,860,1100],[1,2,3,4,6,8,9,10,
12,13,14,15,23,26,28,29,30,35,36,39,40,42,45,46,48,62,82,86,92,108,111,117,
119,120,123,126,156,167,198,202,276,278,283,307,311,327,352,374,533,537,629,
860,879,1101],[1,2,3,5,6,7,9,10,11,12,14,15,24,27,29,31,33,36,37,38,43,44,47,
48,49,64,67,84,87,94,111,112,113,114,121,122,128,158,161,175,182,203,213,271,
273,280,306,318,330,338,381,532,540,624,861,876,1102],[1,2,3,4,9,10,11,12,14,
16,23,31,32,33,36,37,43,44,52,55,56,65,70,90,91,93,109,110,121,122,136,178,
187,188,189,218,221,279,281,282,284,305,325,361,368,394,531,549,632,859,880,
1103],[1,2,3,4,7,9,10,11,12,14,15,16,17,23,26,31,36,38,46,48,49,60,62,63,64,
65,67,68,74,83,86,91,102,132,146,149,153,154,161,167,191,196,200,203,204,210,
223,275,278,279,292,396,414,416,424,450,466,468,583,585,586,709,865,1104],[1,
2,4,10,11,16,23,26,32,33,52,55,63,70,72,73,75,86,91,102,141,144,170,189,191,
208,228,231,234,235,278,281,290,398,434,503,509,512,585,593,791,863,1105],[1,
2,3,4,7,9,11,13,15,16,23,28,31,41,54,57,61,64,65,72,73,75,83,91,102,139,145,
155,163,205,210,226,230,234,236,277,279,291,397,437,506,510,513,586,592,792,
864,1106],[1,2,4,10,11,16,23,26,32,33,52,55,63,70,72,86,91,92,108,170,189,191,
228,278,281,290,346,398,456,537,715,863,1107],[1,2,3,4,7,9,11,13,15,16,23,28,
31,32,41,54,57,58,61,64,65,73,83,91,93,110,155,163,176,210,213,226,277,279,
281,291,347,397,459,549,710,864,1108],[1,2,3,4,9,10,11,12,13,14,16,23,26,31,
32,33,35,36,37,42,43,52,55,56,60,63,65,70,72,86,91,93,110,117,121,132,136,139,
168,169,170,178,187,188,189,227,228,278,279,281,283,290,322,325,398,403,408,
546,549,596,643,863,1109],[1,2,3,4,7,9,10,11,12,13,14,15,23,26,27,31,32,35,36,
38,42,44,46,47,48,49,62,64,66,67,74,83,86,91,93,110,112,114,117,124,128,130,
138,154,157,158,160,161,167,175,182,223,225,275,278,279,281,283,292,309,314,
318,396,399,411,538,546,549,597,642,865,1110],[1,2,3,4,7,8,9,10,11,12,13,14,
16,23,27,28,31,35,36,38,39,41,44,45,53,54,57,60,61,63,65,73,83,91,92,112,118,
119,127,132,141,155,159,162,163,174,179,186,226,229,275,277,279,282,291,312,
321,397,401,410,547,548,599,641,864,1111],[1,2,3,4,7,9,10,11,12,13,14,15,23,
26,27,31,35,36,38,41,42,44,46,47,48,49,62,64,66,67,74,83,86,91,92,108,112,117,
118,126,130,133,140,154,156,157,158,160,161,167,185,223,224,275,277,278,279,
282,292,311,314,320,396,400,409,537,547,548,598,640,865,1112],[1,2,4,10,11,15,
16,23,26,32,33,52,55,62,63,70,72,86,91,104,126,149,170,189,191,197,228,278,
281,290,398,415,456,581,702,863,1113],[1,2,3,4,7,9,11,13,15,16,23,28,31,41,54,
57,61,64,65,73,83,91,104,124,146,155,163,192,213,226,277,279,291,397,421,459,
582,703,864,1114],[1,2,3,5,6,9,10,11,12,14,17,24,27,29,31,33,36,37,43,44,68,
84,87,105,111,112,113,121,122,129,193,204,271,273,280,306,382,532,580,645,861,
1115],[1,2,3,4,9,10,11,12,14,15,16,23,31,33,36,37,43,44,64,65,70,90,91,104,
109,121,122,124,136,210,214,218,221,279,282,284,305,379,394,531,582,651,859,
1116],[1,2,3,4,6,8,9,10,12,13,14,15,23,26,28,29,30,35,36,39,40,42,45,62,82,86,
104,111,117,119,120,123,126,198,202,276,278,283,307,374,533,581,647,860,
1117],[1,2,3,4,9,10,11,12,14,15,16,23,31,33,36,37,43,44,64,65,70,90,91,102,
109,121,122,124,136,210,214,218,221,279,282,284,305,379,394,531,586,590,651,
859,1118],[1,2,3,5,6,9,10,11,12,14,15,17,24,27,29,31,33,36,37,43,44,64,67,68,
84,87,103,111,112,113,121,122,128,129,193,195,203,204,206,213,271,273,280,306,
381,382,384,532,587,589,646,861,1119],[1,2,3,5,6,8,9,10,12,13,14,15,16,17,24,
28,29,30,34,35,36,39,40,42,45,61,62,63,67,68,69,85,87,88,103,115,116,119,120,
123,127,133,134,194,195,201,207,216,217,219,220,272,273,274,285,308,376,377,
392,393,534,588,589,591,649,862,1120],[1,2,3,4,6,8,9,10,12,13,14,16,17,23,26,
28,29,30,35,36,39,40,42,45,61,63,68,69,82,86,102,111,117,119,120,123,127,134,
191,196,199,201,204,207,276,278,283,307,375,377,380,533,584,585,652,860,
1121],[1,2,3,4,9,10,11,12,14,15,16,20,21,23,26,32,33,36,37,43,44,46,48,52,55,
56,62,63,70,72,86,91,97,122,167,170,188,189,215,216,218,221,228,252,258,261,
263,278,281,290,356,368,398,454,465,554,557,717,863,1122],[1,2,4,10,11,16,20,
23,26,32,33,52,55,63,70,72,86,91,96,109,170,189,208,221,228,260,262,263,278,
281,290,335,361,398,454,455,558,574,733,863,1123],[1,2,3,4,6,7,8,9,11,13,15,
16,17,21,23,28,31,40,41,50,51,54,57,58,61,64,65,69,73,83,91,100,115,155,163,
173,176,192,194,201,205,226,254,256,266,277,279,291,342,364,397,449,461,552,
572,730,864,1124],[1,2,3,4,7,8,9,10,11,12,13,14,15,17,21,23,26,28,31,35,36,38,
39,45,46,48,49,51,58,62,64,67,68,74,83,86,91,100,119,154,156,161,167,172,176,
192,198,202,203,204,220,223,256,258,266,275,278,279,292,341,352,362,396,443,
460,466,552,560,571,720,865,1125],[1,2,3,4,7,9,10,11,12,14,15,16,17,20,23,26,
31,33,36,37,38,43,46,48,49,52,55,59,62,63,64,65,67,68,74,83,86,91,96,121,154,
161,165,167,170,178,196,197,204,206,209,210,223,259,262,263,275,278,279,292,
331,355,360,396,450,451,452,558,559,564,716,865,1126],[1,2,3,4,7,8,9,10,11,12,
13,14,16,17,20,21,23,28,30,31,36,41,42,45,51,52,54,56,57,59,61,65,69,73,83,91,
97,123,155,163,184,187,194,207,209,211,226,256,259,260,261,277,279,291,345,
348,397,461,463,556,566,713,864,1127],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,20,
21,23,26,29,31,36,38,46,48,49,50,52,56,59,62,64,65,67,68,74,83,86,91,97,111,
154,161,167,183,187,195,202,204,209,214,223,252,254,258,259,260,261,275,278,
279,292,327,343,349,396,451,457,460,554,556,565,711,865,1128],[1,2,3,4,10,11,
12,13,15,16,21,23,26,32,33,35,48,52,54,55,58,62,63,70,72,75,86,91,100,147,156,
170,174,180,189,228,231,233,236,258,278,281,290,370,398,503,507,514,560,595,
789,863,1129],[1,2,3,4,7,9,11,13,16,20,23,28,31,41,54,55,57,61,65,73,75,83,91,
96,143,155,163,178,226,230,233,235,263,277,279,291,371,397,506,508,515,564,
594,790,864,1130],[1,2,3,4,7,9,10,11,12,13,14,15,23,26,27,31,35,36,38,46,47,
48,49,62,64,66,67,74,83,86,91,104,124,126,128,130,133,135,138,140,142,154,156,
157,158,160,161,167,171,175,182,185,222,223,224,225,275,278,279,292,396,399,
400,402,409,411,412,413,441,579,581,582,600,734,865,1131],[1,2,3,4,6,7,9,10,
12,13,14,15,17,21,23,26,27,29,35,36,38,46,47,48,49,50,59,62,64,66,67,68,74,82,
86,100,111,156,158,160,161,167,183,185,195,202,203,204,223,224,255,258,278,
327,338,343,400,443,447,466,533,560,723,846,847,879,1132],[1,2,3,5,6,7,9,10,
12,13,14,15,16,17,22,24,27,29,35,36,38,47,48,49,50,53,57,59,62,63,64,66,67,68,
74,84,87,99,111,157,158,161,171,179,182,183,185,195,196,203,204,216,222,224,
225,257,264,268,271,329,338,343,402,444,467,468,532,561,721,849,855,876,
1133],[1,2,3,5,6,7,8,9,12,13,16,17,22,24,27,28,39,40,41,50,51,53,54,57,60,61,
65,69,73,84,87,98,115,159,162,163,173,186,194,201,211,226,229,264,268,271,336,
364,401,445,463,535,567,729,857,878,1134],[1,2,3,5,7,8,9,12,13,16,17,22,24,27,
28,38,39,41,51,53,54,57,60,61,65,68,73,85,89,99,114,159,162,163,172,186,193,
200,212,226,229,265,270,272,337,363,401,446,462,536,568,728,858,877,1135],[1,
2,3,5,6,7,9,10,12,13,14,15,17,19,22,24,26,27,29,35,36,38,46,47,48,49,50,59,62,
64,66,67,68,74,84,87,101,111,156,158,160,161,167,183,185,195,202,203,204,223,
224,253,257,268,271,327,338,343,400,443,447,466,532,569,723,848,855,876,
1136],[1,2,4,10,11,16,20,23,26,32,33,52,55,63,70,72,86,96,109,170,189,208,221,
228,262,278,335,361,398,454,455,529,558,733,853,874,1137],[1,2,3,4,6,7,9,10,
11,12,14,15,16,17,20,21,23,26,29,31,36,38,46,48,49,50,52,56,59,62,64,65,67,68,
74,82,86,97,111,154,161,167,183,187,195,202,204,209,214,223,252,255,258,262,
278,327,343,349,396,451,457,460,533,554,711,847,851,879,1138],[1,2,4,10,11,16,
20,23,26,32,33,52,55,63,70,72,90,91,96,109,170,189,208,221,228,260,263,267,
281,335,361,398,454,455,531,574,733,845,854,880,1139],[1,2,4,10,11,16,20,23,
26,32,33,52,55,63,70,72,90,96,108,170,189,191,228,267,284,346,398,456,530,576,
715,852,875,1140],[1,2,3,4,10,11,12,13,14,15,16,20,21,23,32,33,35,37,52,55,56,
58,60,62,63,70,72,90,91,97,109,168,169,180,188,189,197,215,221,227,228,261,
263,266,267,281,357,361,403,464,465,531,557,718,850,854,880,1141],[1,2,3,5,6,
12,14,15,16,17,24,29,60,66,67,68,71,74,75,87,103,131,142,152,153,195,232,273,
442,501,511,589,826,881,1142],[1,2,3,4,9,10,12,13,14,15,16,23,26,35,36,42,64,
65,71,72,74,86,93,117,125,138,139,146,150,203,209,214,278,283,290,292,387,497,
499,546,596,597,658,1143],[1,2,3,4,9,10,11,12,14,15,16,23,27,31,36,44,62,63,
71,73,74,91,92,112,137,140,141,148,149,196,202,216,279,282,291,292,386,498,
500,548,598,599,659,1144],[1,2,4,10,11,16,23,26,33,52,63,75,86,102,109,170,
191,208,231,278,335,456,503,529,585,772,874,1145],[1,2,4,10,11,16,23,26,33,52,
63,70,75,90,102,108,170,191,221,231,284,346,454,503,530,590,771,875,1146],[1,
2,3,5,6,8,9,12,13,16,17,24,27,28,40,53,65,68,75,84,87,103,115,159,193,211,230,
271,336,446,504,535,587,778,878,1147],[1,2,3,5,7,9,12,13,16,17,24,27,28,38,53,
65,69,75,85,89,103,114,159,194,212,230,272,337,445,504,536,588,779,877,1148],[
1,2,3,5,6,9,10,12,14,15,16,24,29,36,60,62,63,64,65,66,71,87,95,111,125,130,
131,132,137,273,395,442,544,657,881,1149],[1,2,3,5,6,7,12,14,15,16,17,22,24,
29,38,47,50,59,60,66,68,71,75,87,99,131,152,171,183,200,232,268,273,442,494,
511,562,825,881,1150],[1,2,3,5,6,8,9,11,13,15,16,24,28,31,40,55,57,58,64,65,
85,95,115,124,143,146,155,176,178,192,205,213,272,342,371,404,421,489,541,550,
653,883,909,1151],[1,2,3,4,10,11,12,13,15,16,23,33,35,54,56,58,62,63,67,90,92,
109,133,144,148,168,174,180,197,198,215,284,357,369,406,423,485,543,551,655,
882,910,1152],[1,2,3,5,7,9,11,13,16,22,24,28,31,41,54,55,57,61,65,73,75,85,99,
143,155,163,178,226,230,233,235,265,272,371,397,506,508,515,550,568,790,883,
911,1153],[1,2,3,4,10,11,12,13,14,16,20,23,32,33,35,37,52,54,55,56,60,63,70,
72,75,90,96,144,168,169,174,188,189,227,228,231,233,236,267,284,369,403,505,
509,514,551,576,788,882,912,1154],[1,2,3,5,9,11,13,15,16,17,24,28,31,55,57,64,
65,69,85,103,143,155,178,194,213,272,371,459,461,550,588,805,883,1155],[1,2,3,
4,10,11,12,13,16,17,23,33,35,54,56,63,68,70,90,102,144,168,174,199,221,284,
369,464,469,551,590,806,882,1156],[1,2,3,4,8,9,10,11,12,13,14,15,16,20,21,23,
27,28,30,31,32,33,36,37,42,43,44,45,46,47,48,49,52,53,55,56,57,58,64,65,70,71,
91,92,93,96,97,100,102,104,110,112,121,123,124,125,136,145,146,150,154,155,
158,159,166,175,176,177,178,181,187,188,189,190,203,205,210,212,213,214,260,
261,263,266,279,281,282,288,289,293,294,298,300,301,309,310,316,325,330,333,
347,350,372,473,474,488,489,490,491,548,549,552,553,556,557,564,574,578,582,
586,601,762,870,873,884,890,891,901,908,1157],[1,2,3,4,9,10,11,12,13,14,15,16,
20,21,23,26,33,35,36,37,42,43,44,46,48,52,53,54,57,58,62,63,71,86,92,93,96,97,
100,102,104,108,117,122,126,137,147,148,156,167,170,174,179,180,181,190,191,
215,216,217,252,258,262,278,283,288,289,293,294,298,300,301,311,326,346,356,
367,370,472,481,482,537,546,554,555,558,560,575,581,585,601,761,866,872,887,
898,899,902,906,1158],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,24,27,29,
30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,66,67,
68,69,71,84,94,95,98,99,101,103,105,113,114,118,120,129,131,134,135,151,152,
153,160,162,164,165,166,169,171,172,173,177,181,182,183,184,185,190,193,195,
199,200,206,220,253,257,264,271,280,286,287,295,296,297,299,302,317,319,323,
324,344,354,363,365,373,479,480,487,494,495,496,540,545,561,567,569,570,577,
580,587,602,763,868,871,886,892,893,904,905,1159],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,17,20,21,23,27,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,56,57,58,59,60,66,67,68,69,71,83,92,93,96,97,100,102,104,113,114,118,
120,129,131,134,135,151,152,153,160,162,164,165,166,169,171,172,173,177,181,
182,183,184,185,190,193,195,199,200,206,220,254,256,259,275,277,288,289,293,
294,298,300,301,317,319,323,324,344,354,363,365,373,479,480,487,494,495,496,
538,547,559,565,566,571,572,579,583,601,763,867,869,885,888,897,903,907,
1160],[1,2,4,5,16,20,23,73,76,77,237,240,291,303,517,605,827,1161],[1,2,3,4,5,
11,13,15,19,20,21,22,23,24,58,76,77,96,100,101,104,237,238,239,240,241,298,
303,522,523,603,604,605,916,917,918,1162],[1,2,3,5,6,8,9,13,18,19,22,24,28,40,
78,79,80,85,95,98,101,115,242,243,244,272,287,524,541,610,922,1163],[1,2,3,5,
6,8,12,13,14,18,19,22,24,30,34,39,40,45,78,79,80,88,95,98,101,116,242,243,244,
274,285,287,524,542,611,923,924,1164],[1,2,4,10,11,18,33,86,107,109,529,842,
1165],[1,2,4,10,18,26,90,107,108,530,843,1166],[1,2,3,5,9,13,17,18,19,22,24,
28,69,78,79,80,85,101,103,105,194,243,246,272,299,525,588,610,922,1167],[1,2,
3,5,8,13,14,16,17,18,19,22,24,30,61,69,78,79,80,88,101,103,105,207,243,245,
274,299,526,591,611,923,1168],[1,2,3,5,7,9,13,16,18,19,22,24,28,41,54,57,61,
78,79,80,85,94,99,101,163,243,245,265,272,286,526,568,610,922,925,1169],[1,2,
3,5,7,8,13,14,17,18,19,22,24,30,41,51,59,69,78,79,80,88,94,99,101,184,243,246,
269,274,286,525,563,611,923,926,1170],[1,2,3,4,6,8,13,16,17,18,23,40,61,69,78,
79,80,82,102,107,201,242,243,244,245,246,276,304,524,525,526,584,615,616,844,
930,1171],[1,81,251,1172],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,
31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,
63,64,65,66,67,71,73,74,108,109,111,112,113,117,118,119,120,121,122,123,125,
126,127,130,131,132,133,137,140,141,144,147,148,149,154,155,156,157,158,159,
160,161,162,163,164,166,167,168,169,170,174,176,177,179,180,181,185,186,187,
190,191,196,197,198,202,208,215,216,217,223,224,226,229,305,306,307,310,311,
312,313,314,315,316,317,320,321,322,326,327,328,329,334,335,346,351,352,353,
355,356,357,358,359,367,369,370,374,376,380,386,389,390,391,395,396,397,400,
401,406,407,409,410,414,415,422,423,425,428,430,433,434,435,439,471,472,477,
478,481,482,483,484,485,486,498,500,618,620,623,629,630,633,635,636,637,640,
641,655,656,659,660,664,665,666,668,674,675,701,735,736,750,753,759,760,761,
764,768,769,785,786,795,796,797,798,937,949,950,985,986,1018,1173],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,
44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,67,70,71,72,74,110,111,
112,113,114,115,116,117,119,120,121,122,123,124,125,128,130,131,132,136,137,
138,139,143,145,146,150,154,155,157,158,159,160,161,162,164,166,167,168,169,
170,175,176,177,178,179,180,181,182,187,188,189,190,192,203,205,209,210,211,
212,213,214,223,225,227,228,306,307,308,309,310,312,313,314,315,316,317,318,
322,325,326,330,332,333,336,337,338,339,340,341,342,347,348,349,350,360,371,
372,378,379,381,383,385,387,388,395,396,398,399,403,404,405,408,411,416,417,
418,419,420,421,431,432,436,437,438,473,474,475,476,488,489,490,491,492,493,
497,499,619,621,622,624,626,627,628,631,634,642,643,653,654,658,661,662,663,
670,671,672,673,701,737,739,751,752,757,758,762,765,766,767,783,784,799,800,
801,802,938,947,948,983,984,1017,1174],[1,2,3,6,8,9,10,11,12,13,14,15,16,26,
27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,
62,63,64,65,66,71,109,111,112,113,115,116,117,119,120,121,122,123,125,130,131,
132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,
181,187,190,192,196,197,202,203,205,208,209,211,214,215,216,305,306,307,308,
310,312,313,314,315,316,317,322,326,327,328,329,332,333,334,335,336,338,339,
340,341,342,348,349,355,356,357,358,359,383,385,386,387,388,389,390,391,395,
442,618,619,626,627,628,633,634,635,636,637,657,660,661,701,937,938,982,
1175],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,34,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,68,70,71,111,
112,113,115,116,117,119,120,121,122,123,125,129,130,131,132,136,137,154,155,
157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,192,
193,203,204,205,209,211,212,214,218,221,306,307,308,310,312,313,314,315,316,
317,322,326,332,333,336,338,339,340,341,342,348,349,378,382,383,385,387,388,
394,395,451,453,454,458,462,464,619,626,627,628,634,645,650,661,695,697,698,
699,701,938,966,967,1176],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,
31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,
68,69,71,109,111,112,113,117,119,120,121,122,123,125,126,130,131,132,134,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,194,196,197,198,199,202,204,208,215,216,219,305,306,307,310,312,313,314,
315,316,317,322,326,327,328,329,334,335,355,356,357,358,359,374,375,386,389,
390,391,393,395,445,447,448,460,461,470,618,633,635,636,637,647,648,660,679,
685,691,692,701,937,963,965,1177],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,
27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,
55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,73,74,110,111,112,113,114,117,
118,119,120,121,122,123,124,125,127,128,129,130,131,132,133,136,137,138,141,
144,145,146,147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,172,174,175,176,177,178,179,180,181,182,185,186,187,188,
189,190,191,192,193,195,196,197,198,200,202,203,204,205,206,208,209,210,212,
213,214,216,217,220,223,225,226,229,306,307,309,310,312,313,314,315,316,317,
318,320,321,322,325,326,329,330,333,334,337,338,339,340,341,347,349,350,351,
352,353,358,359,360,362,363,367,369,370,372,376,378,379,380,381,382,384,385,
386,387,391,395,396,397,399,401,410,411,414,416,417,419,420,421,422,424,425,
427,428,432,433,434,435,438,443,444,446,450,459,460,462,466,468,471,473,474,
476,477,478,481,483,484,485,486,488,489,490,491,493,496,499,500,624,626,630,
631,633,641,642,646,662,663,665,666,669,670,673,674,683,684,689,690,694,695,
701,703,705,706,709,710,720,722,728,736,737,743,747,750,751,758,759,760,762,
795,798,801,802,940,941,944,964,972,973,975,983,985,996,999,1178],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,
71,72,74,110,111,112,113,114,117,118,119,120,121,122,123,124,125,126,128,129,
130,131,132,133,134,135,136,137,139,142,143,145,146,148,150,151,152,153,154,
155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,175,
176,177,178,179,180,181,182,183,184,185,187,188,189,190,193,194,195,198,199,
200,202,203,204,205,206,209,210,211,212,213,214,215,217,219,220,222,223,224,
225,227,228,306,307,309,310,312,313,314,315,316,317,318,319,320,322,323,324,
325,326,328,330,331,332,333,343,344,347,348,349,350,353,354,360,362,363,365,
371,372,373,374,375,378,379,382,384,387,388,392,393,395,398,399,400,402,403,
408,412,413,416,417,418,419,422,423,424,426,427,429,431,436,437,440,443,444,
447,457,458,460,469,470,473,474,475,479,480,482,487,488,489,490,491,492,494,
495,496,497,501,625,631,634,638,643,644,647,648,664,667,669,670,671,672,676,
678,679,687,688,692,701,704,705,708,712,727,732,738,739,742,745,752,754,757,
762,763,799,800,803,942,945,963,974,978,984,987,997,998,1179],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,
74,111,112,113,114,117,118,119,120,121,122,123,125,127,128,129,130,131,132,
133,134,135,136,137,141,142,144,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,179,180,181,182,183,184,185,186,187,190,191,193,195,196,197,198,199,200,
202,204,205,206,208,209,212,216,217,218,220,221,222,223,224,225,226,229,306,
307,310,312,313,314,315,316,317,318,319,320,321,322,323,324,326,329,331,334,
337,340,343,344,351,352,353,354,358,359,362,363,365,367,369,370,373,375,376,
378,380,382,384,386,391,392,394,395,397,399,400,401,402,410,412,413,414,417,
420,422,424,425,426,427,428,429,433,434,435,440,446,447,451,452,457,458,462,
467,471,477,478,479,480,481,483,484,485,486,487,488,494,495,496,500,501,625,
630,633,638,641,644,645,650,663,665,666,667,669,674,676,683,686,695,696,697,
701,704,706,707,725,726,728,736,738,744,748,750,754,759,760,763,795,798,803,
941,943,966,976,977,985,987,995,1000,1180],[1,2,3,6,7,8,9,10,11,12,13,14,15,
16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,108,110,111,
112,113,117,118,119,120,121,122,123,124,125,126,127,130,131,132,133,134,136,
137,139,140,143,145,146,147,148,149,150,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,174,175,176,177,178,179,180,181,185,186,
187,188,189,190,191,196,197,198,199,200,201,202,203,204,205,206,207,209,210,
211,212,213,214,215,216,217,223,224,227,228,306,307,309,310,311,312,313,314,
315,316,317,320,321,322,325,326,327,328,329,330,331,332,333,334,346,347,348,
349,350,351,352,353,354,355,356,360,367,370,371,372,374,375,376,377,378,379,
380,386,387,388,389,395,396,398,400,403,408,409,414,415,416,417,418,419,422,
423,424,425,426,430,431,436,437,439,450,451,452,456,466,467,468,469,470,472,
473,474,475,477,478,481,482,484,485,486,487,488,489,490,491,492,497,498,629,
630,631,634,636,640,643,652,664,665,667,668,670,671,672,675,677,678,679,680,
681,682,701,702,707,708,709,715,716,731,732,735,739,740,741,752,753,757,760,
761,762,796,797,799,800,939,945,946,968,969,970,971,984,986,1002,1003,1181],[
1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,35,36,37,38,39,40,
42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,67,70,71,74,110,
111,112,113,114,117,119,120,121,122,123,124,125,128,130,131,132,136,137,138,
145,146,150,154,155,157,158,159,160,161,162,164,166,167,168,169,170,175,176,
177,178,179,180,181,182,187,188,189,190,192,196,197,202,203,205,208,209,210,
211,212,213,214,215,216,218,221,223,225,306,307,309,310,312,313,314,315,316,
317,318,322,325,326,330,333,337,338,339,340,341,347,349,350,360,372,378,379,
381,383,385,386,387,388,389,390,391,394,395,396,399,411,416,417,419,420,421,
432,438,442,452,453,454,455,457,464,465,473,474,476,488,489,490,491,493,499,
624,626,631,642,650,657,660,661,662,663,670,673,696,698,699,700,701,737,747,
749,751,758,762,801,802,960,962,967,982,983,1182],[1,2,3,6,8,9,10,11,12,13,14,
15,16,17,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,
55,56,57,58,60,62,63,64,65,66,68,70,71,72,110,111,112,113,117,119,120,121,122,
123,124,125,129,130,131,132,136,137,139,143,145,146,150,154,155,157,158,159,
160,162,164,166,167,168,169,170,175,176,177,178,179,180,181,187,188,189,190,
192,193,196,197,202,203,204,205,208,209,210,211,212,213,214,215,216,218,221,
227,228,306,307,309,310,312,313,314,315,316,317,322,325,326,330,332,333,347,
348,349,350,360,371,372,378,379,382,383,385,386,387,388,389,390,391,394,395,
398,403,408,416,417,418,419,431,436,437,442,450,451,455,458,460,462,465,473,
474,475,488,489,490,491,492,497,631,634,643,645,650,657,660,661,670,671,672,
694,695,697,700,701,739,748,749,752,757,762,799,800,961,962,966,982,984,
1183],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,
69,71,73,111,112,113,117,118,119,120,121,122,123,125,126,127,130,131,132,133,
134,137,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,164,166,
167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,192,194,196,197,
198,199,202,203,204,205,208,209,211,214,215,216,217,219,226,229,306,307,310,
312,313,314,315,316,317,320,321,322,326,329,334,351,352,353,358,359,367,369,
370,374,375,376,380,383,385,386,387,388,389,390,391,393,395,397,401,410,414,
422,425,428,433,434,435,442,443,447,449,457,460,463,470,471,477,478,481,483,
484,485,486,500,630,633,641,647,648,657,660,661,665,666,674,679,688,692,693,
701,736,741,746,750,759,760,795,798,955,958,963,982,985,1184],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,69,71,74,108,111,112,
113,117,118,119,120,121,122,123,125,126,127,130,131,132,133,134,137,140,147,
148,149,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,174,
176,177,179,180,181,185,186,187,190,191,192,194,196,197,198,199,202,203,204,
205,208,209,211,214,215,216,217,219,223,224,306,307,310,311,312,313,314,315,
316,317,320,321,322,326,327,328,329,334,346,351,352,353,355,356,367,370,374,
375,376,380,383,385,386,387,388,389,390,391,393,395,396,400,409,414,415,422,
423,425,430,439,442,445,448,449,451,461,463,466,472,477,478,481,482,484,485,
486,498,629,630,636,640,648,657,660,661,664,665,668,675,681,685,691,693,701,
735,745,746,753,760,761,796,797,956,958,965,982,986,1185],[1,2,3,6,7,8,9,10,
11,12,13,14,15,16,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,70,71,74,75,108,111,112,113,
117,118,119,120,121,122,123,125,126,127,130,131,132,133,136,137,140,147,148,
149,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,174,176,
177,179,180,181,185,186,187,190,191,196,197,198,202,209,212,215,216,217,218,
221,223,224,230,231,232,306,307,310,311,312,313,314,315,316,317,320,321,322,
326,327,328,329,334,346,351,352,353,355,356,367,370,374,376,378,380,386,389,
394,395,396,400,409,414,415,422,423,425,430,439,453,454,464,472,477,478,481,
482,484,485,486,498,502,503,504,505,506,511,629,630,636,640,650,664,665,668,
675,698,699,701,735,753,755,756,760,761,770,771,774,796,797,823,824,967,986,
988,1021,1024,1186],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,
32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,
65,66,67,68,69,70,71,74,75,110,111,112,113,114,117,119,120,121,122,123,124,
125,128,130,131,132,134,136,137,138,145,146,150,154,155,157,158,159,160,161,
162,164,166,167,168,169,170,175,176,177,178,179,180,181,182,187,188,189,190,
192,194,199,203,204,205,209,210,212,213,214,219,223,225,230,231,232,306,307,
309,310,312,313,314,315,316,317,318,322,325,326,330,333,337,338,339,340,341,
347,349,350,360,372,375,378,379,381,385,387,393,395,396,399,411,416,417,419,
420,421,432,438,445,448,461,473,474,476,488,489,490,491,493,499,502,503,504,
505,506,511,624,626,631,642,648,662,663,670,673,685,691,701,737,751,755,756,
758,762,770,779,781,801,802,821,822,965,983,988,1022,1023,1187],[1,2,3,6,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,
48,49,52,53,56,57,58,60,62,63,64,65,66,68,69,70,71,75,111,112,113,117,119,120,
121,122,123,125,126,129,130,131,132,134,136,137,154,155,157,158,159,160,162,
164,166,167,168,169,170,176,177,179,180,181,187,190,193,194,198,199,202,204,
209,212,218,219,221,230,231,232,306,307,310,312,313,314,315,316,317,322,326,
374,375,378,382,393,394,395,447,451,458,460,462,470,502,503,504,505,506,511,
645,647,648,650,679,692,695,697,701,755,756,770,963,966,988,1188],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,
44,45,46,47,48,49,52,53,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,74,
110,111,112,113,114,117,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,134,136,137,138,145,146,147,148,150,151,152,154,155,157,158,159,160,161,
162,164,166,167,168,169,170,175,176,177,178,179,180,181,182,187,188,189,190,
191,192,193,194,196,198,199,201,202,203,204,205,207,209,210,212,213,214,216,
219,223,225,306,307,309,310,312,313,314,315,316,317,318,322,325,326,330,333,
337,338,339,340,341,347,349,350,360,372,374,375,377,378,379,380,381,382,385,
386,387,393,395,396,399,411,416,417,419,420,421,429,430,432,438,447,450,456,
460,467,469,470,472,473,474,476,478,479,488,489,490,491,493,499,624,626,631,
642,647,648,652,662,663,670,673,675,676,677,678,679,682,686,692,694,701,737,
740,741,742,745,751,758,762,801,802,810,963,968,971,978,979,983,1006,1008,
1030,1189],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,
67,68,69,70,71,74,108,111,112,113,117,118,119,120,121,122,123,125,126,127,128,
129,130,131,132,133,134,136,137,140,145,146,147,148,149,151,152,154,155,156,
157,158,159,160,161,162,163,164,166,167,168,169,170,174,176,177,179,180,181,
185,186,187,190,191,193,195,196,197,198,199,202,203,204,206,209,212,213,214,
215,216,217,218,221,223,224,306,307,310,311,312,313,314,315,316,317,320,321,
322,326,327,328,329,334,346,351,352,353,355,356,367,370,374,375,376,378,380,
381,382,384,386,387,389,394,395,396,400,409,414,415,422,423,425,429,430,432,
439,444,446,451,458,459,462,466,472,474,476,477,478,479,481,482,484,485,486,
498,629,630,636,640,645,646,650,664,665,668,673,675,676,681,683,684,687,690,
695,697,701,735,743,744,747,748,753,760,761,796,797,812,964,966,975,977,981,
986,1007,1010,1031,1190],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,
30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,71,74,108,111,112,113,115,116,117,118,119,
120,121,122,123,125,126,127,130,131,132,133,134,137,140,147,148,149,154,155,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,177,
179,180,181,183,184,185,186,187,190,191,192,194,195,196,197,198,199,201,202,
203,204,205,207,209,211,214,215,216,217,219,220,223,224,306,307,308,310,311,
312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,336,338,
339,340,341,342,343,345,346,348,349,351,352,353,355,356,362,364,365,366,367,
370,374,375,376,377,380,383,385,386,387,388,389,392,393,395,396,400,409,414,
415,422,423,425,430,439,443,447,451,457,460,466,470,472,477,478,481,482,484,
485,486,498,619,626,627,628,629,630,634,636,638,639,640,647,648,649,652,661,
664,665,668,675,679,681,688,692,701,711,720,723,725,735,741,745,753,760,761,
796,797,933,934,938,955,956,963,986,989,998,1003,1006,1191],[1,2,3,6,7,8,9,10,
11,12,13,14,15,16,17,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,
111,112,113,115,116,117,118,119,120,121,122,123,125,127,130,131,132,133,134,
137,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,164,166,167,
168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,190,191,192,
194,195,196,197,198,199,201,202,203,204,205,207,208,209,211,214,216,217,219,
220,226,229,306,307,308,310,312,313,314,315,316,317,320,321,322,324,326,329,
332,333,334,336,338,339,340,341,342,343,345,348,349,351,352,353,358,359,362,
364,365,366,367,369,370,375,376,377,380,383,385,386,387,388,391,392,393,395,
397,401,410,414,422,425,428,433,434,435,445,448,449,461,463,471,477,478,481,
483,484,485,486,500,619,626,627,628,630,633,634,638,639,641,648,649,652,661,
665,666,674,685,691,693,701,713,724,729,730,736,746,750,759,760,795,798,934,
938,958,965,985,991,1001,1005,1192],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,
27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,
57,58,59,60,62,63,64,65,66,67,68,69,71,74,109,111,112,113,114,117,118,119,120,
121,122,123,125,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,
156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,175,176,
177,179,180,181,182,183,184,185,187,190,193,195,196,197,199,200,202,203,204,
206,208,213,215,216,220,222,223,224,225,305,306,307,310,312,313,314,315,316,
317,318,319,320,322,323,324,326,327,328,329,330,331,334,335,338,343,344,354,
355,356,357,358,359,362,363,365,373,375,381,382,384,386,389,390,391,392,395,
399,400,402,412,413,424,426,427,429,440,443,444,446,447,459,466,467,468,479,
480,487,494,495,496,501,618,624,625,633,635,636,637,638,644,645,646,660,667,
669,676,683,684,686,689,690,701,721,723,727,731,738,743,744,754,763,803,935,
937,959,964,987,990,999,1000,1007,1193],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,74,111,112,113,114,115,
116,117,118,119,120,121,122,123,125,127,128,129,130,131,132,133,134,135,137,
142,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,179,180,181,182,183,184,185,186,187,190,
191,192,193,194,195,196,199,200,201,203,204,205,206,207,209,211,214,216,217,
219,220,222,223,224,225,306,307,308,310,312,313,314,315,316,317,318,319,320,
321,322,323,324,326,329,331,332,333,336,338,339,340,341,342,343,344,345,348,
349,351,354,362,363,364,365,366,367,373,375,376,377,380,382,383,384,385,387,
388,392,393,395,399,400,402,412,413,424,426,427,429,440,444,450,452,456,458,
467,468,469,479,480,487,494,495,496,501,619,625,626,627,628,630,634,638,639,
644,648,649,652,661,667,669,676,677,678,680,682,687,701,714,721,722,726,738,
740,742,754,763,803,934,938,957,968,987,992,997,1002,1008,1194],[1,2,3,6,8,9,
10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,
48,49,52,53,55,56,57,58,60,62,63,64,65,66,70,71,72,109,110,111,112,113,117,
119,120,121,122,123,124,125,130,131,132,136,137,139,143,145,146,150,154,155,
157,158,159,160,162,164,166,167,168,169,170,175,176,177,178,179,180,181,187,
188,189,190,196,197,202,203,205,208,209,210,211,212,213,214,215,216,218,221,
227,228,305,306,307,309,310,312,313,314,315,316,317,322,325,326,327,328,329,
330,332,333,334,335,347,348,349,350,355,356,357,358,359,360,361,368,371,372,
378,379,386,387,388,389,390,391,394,395,398,403,408,416,417,418,419,431,436,
437,453,454,455,464,465,473,474,475,488,489,490,491,492,497,618,631,632,633,
634,635,636,637,643,650,651,660,670,671,672,698,699,700,701,717,718,719,733,
739,749,752,757,762,799,800,936,937,962,967,984,993,1004,1009,1195],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,
44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,74,
109,110,111,112,113,114,117,119,120,121,122,123,124,125,128,129,130,131,132,
136,137,138,145,146,150,154,155,157,158,159,160,161,162,164,165,166,167,168,
169,170,175,176,177,178,179,180,181,182,183,187,188,189,190,192,193,195,196,
197,202,203,204,205,206,208,209,210,212,213,214,215,216,218,221,223,225,305,
306,307,309,310,312,313,314,315,316,317,318,319,322,325,326,327,328,329,330,
331,333,334,335,337,338,339,340,341,343,344,347,349,350,355,356,357,358,359,
360,361,368,372,378,379,381,382,384,385,386,387,389,390,391,394,395,396,399,
411,416,417,419,420,421,432,438,450,451,452,457,458,460,462,473,474,476,488,
489,490,491,493,499,618,624,625,626,631,632,633,635,636,637,642,645,646,650,
651,660,662,663,670,673,694,695,696,697,701,711,712,714,716,737,747,748,751,
758,762,801,802,935,936,937,960,961,966,983,994,995,996,1010,1196],[1,2,3,6,8,
9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,
47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,67,68,69,71,111,112,113,117,119,
120,121,122,123,125,127,128,129,130,131,132,134,137,154,155,157,158,159,160,
162,164,166,167,168,169,170,176,177,179,180,181,187,190,191,192,193,195,196,
197,199,201,202,203,204,205,206,207,208,209,211,213,214,215,216,306,307,310,
312,313,314,315,316,317,322,326,375,377,380,381,382,383,384,385,386,387,388,
389,390,391,395,442,444,446,450,456,459,466,467,469,646,652,657,660,661,677,
678,682,683,684,690,701,964,968,982,1197],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,
56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,111,112,113,117,118,119,120,
121,122,123,125,127,130,131,132,133,134,136,137,141,144,147,148,149,154,155,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,174,176,177,179,180,
181,185,186,187,190,191,196,197,198,199,201,202,204,207,208,209,212,216,217,
218,221,226,229,306,307,310,312,313,314,315,316,317,320,321,322,326,329,334,
351,352,353,358,359,367,369,370,375,376,377,378,380,386,391,394,395,397,401,
410,414,422,425,428,433,434,435,450,453,454,456,464,467,469,471,477,478,481,
483,484,485,486,500,630,633,641,650,652,665,666,674,677,678,682,698,699,701,
736,750,759,760,795,798,804,806,819,820,967,968,985,1025,1026,1198],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,74,
111,112,113,114,117,118,119,120,121,122,123,125,128,129,130,131,132,133,134,
135,136,137,142,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166,
167,168,169,170,171,172,173,175,176,177,179,180,181,182,183,184,185,187,190,
193,194,195,199,200,204,206,209,212,218,219,220,221,222,223,224,225,306,307,
310,312,313,314,315,316,317,318,319,320,322,323,324,326,331,343,344,354,362,
363,365,373,375,378,382,384,392,393,394,395,399,400,402,412,413,424,426,427,
429,440,445,448,453,454,461,464,479,480,487,494,495,496,501,625,638,644,648,
650,667,669,676,685,691,698,699,701,738,754,763,803,808,818,965,967,987,1029,
1199],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,67,68,69,70,
71,72,110,111,112,113,117,119,120,121,122,123,124,125,128,129,130,131,132,134,
136,137,139,143,145,146,150,154,155,157,158,159,160,162,164,166,167,168,169,
170,175,176,177,178,179,180,181,187,188,189,190,193,194,195,199,203,204,205,
206,209,210,211,212,213,214,219,227,228,306,307,309,310,312,313,314,315,316,
317,322,325,326,330,332,333,347,348,349,350,360,371,372,375,378,379,381,382,
384,387,388,393,395,398,403,408,416,417,418,419,431,436,437,444,445,446,448,
459,461,466,473,474,475,488,489,490,491,492,497,631,634,643,646,648,670,671,
672,683,684,685,690,691,701,739,752,757,762,799,800,805,807,816,817,964,965,
984,1027,1028,1200],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,
35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,68,
69,71,75,109,111,112,113,117,119,120,121,122,123,125,127,130,131,132,134,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,191,196,197,199,201,202,204,207,208,215,216,230,231,232,305,306,307,310,
312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,359,375,
377,380,386,389,390,391,395,450,456,467,469,502,503,504,505,506,511,618,633,
635,636,637,652,660,677,678,682,701,755,756,770,772,773,775,782,937,968,988,
1013,1016,1201],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,34,
35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,67,68,
71,75,111,112,113,115,116,117,119,120,121,122,123,125,128,129,130,131,132,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,192,193,195,203,204,205,206,209,211,213,214,230,231,232,306,307,308,310,
312,313,314,315,316,317,322,326,332,333,336,338,339,340,341,342,348,349,381,
382,383,384,385,387,388,395,444,446,459,466,502,503,504,505,506,511,619,626,
627,628,634,646,661,683,684,690,701,755,756,770,776,777,778,780,938,964,988,
1014,1015,1202],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,60,61,62,63,
64,65,66,67,70,71,72,73,75,110,111,112,113,117,118,119,120,121,122,123,124,
125,127,130,131,132,133,136,137,139,141,143,144,145,146,147,148,149,150,154,
155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,174,175,176,177,
178,179,180,181,185,186,187,188,189,190,191,196,197,198,202,203,205,208,209,
210,211,212,213,214,216,217,226,227,228,229,230,231,232,233,234,235,236,306,
307,309,310,312,313,314,315,316,317,320,321,322,325,326,329,330,332,333,334,
347,348,349,350,351,352,353,358,359,360,367,369,370,371,372,376,378,379,380,
386,387,388,391,395,397,398,401,403,408,410,414,416,417,418,419,422,425,428,
431,433,434,435,436,437,471,473,474,475,477,478,481,483,484,485,486,488,489,
490,491,492,497,500,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,630,631,633,634,641,643,665,666,670,671,672,674,701,736,739,750,752,755,
756,757,759,760,762,770,787,788,789,790,791,792,793,794,795,798,799,800,809,
813,814,815,984,985,988,1011,1012,1019,1020,1051,1203],[1,2,3,6,7,8,9,10,11,
12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,
108,110,111,112,113,114,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,140,142,145,146,147,148,149,150,151,152,
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,
191,192,193,195,196,197,198,199,200,202,203,204,205,206,209,210,212,213,214,
215,216,217,220,222,223,224,225,306,307,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,337,338,339,
340,341,343,344,346,347,349,350,351,352,353,354,355,356,360,362,363,365,367,
370,372,373,374,375,376,378,379,380,381,382,384,385,386,387,389,392,395,396,
399,400,402,409,411,412,413,414,415,416,417,419,420,421,422,423,424,425,426,
427,429,430,432,438,439,440,441,443,444,447,450,451,452,457,458,460,466,467,
468,472,473,474,476,477,478,479,480,481,482,484,485,486,487,488,489,490,491,
493,494,495,496,498,499,501,624,625,626,629,630,631,636,638,640,642,644,662,
663,664,665,667,668,669,670,673,675,676,680,681,682,686,687,688,689,690,692,
694,696,697,701,704,705,707,709,711,712,714,716,720,721,722,723,725,726,727,
731,734,735,737,738,751,753,754,758,760,761,762,763,796,797,801,802,803,810,
811,812,932,942,943,944,946,979,980,981,983,986,987,989,990,992,994,1041,1046,
1204],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,39,
40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,67,68,69,70,71,
111,112,113,117,119,120,121,122,123,125,126,128,129,130,131,132,134,136,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,193,194,195,198,199,202,203,204,206,209,212,213,218,219,221,306,307,310,
312,313,314,315,316,317,322,326,374,375,378,381,382,384,393,394,395,444,446,
447,453,454,459,460,464,466,470,646,647,648,650,679,683,684,690,692,698,699,
701,963,964,967,1205],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,
33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,
68,69,70,71,111,112,113,117,119,120,121,122,123,125,127,129,130,131,132,134,
136,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,
181,187,190,191,193,194,196,199,201,204,207,209,212,218,219,221,306,307,310,
312,313,314,315,316,317,322,326,375,377,378,380,382,393,394,395,445,448,450,
451,456,458,461,462,467,469,645,648,650,652,677,678,682,685,691,695,697,701,
965,966,968,1206],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,62,63,
64,65,66,67,68,69,71,74,75,111,112,113,114,117,118,119,120,121,122,123,125,
128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,157,158,159,
160,161,162,164,165,166,167,168,169,170,171,172,173,175,176,177,179,180,181,
182,183,184,185,187,190,192,193,195,196,197,199,200,202,203,204,205,206,208,
209,211,214,215,216,220,222,223,224,225,230,231,232,306,307,310,312,313,314,
315,316,317,318,319,320,322,323,324,326,331,343,344,354,362,363,365,373,375,
382,383,384,385,386,387,388,389,390,391,392,395,399,400,402,412,413,424,426,
427,429,440,442,479,480,487,494,495,496,501,502,503,504,505,506,511,625,638,
644,657,660,661,667,669,676,701,738,754,755,756,763,770,803,825,826,982,987,
988,1036,1207],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,31,33,35,36,
37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,
65,66,67,68,70,71,73,74,111,112,113,114,117,118,119,121,122,125,126,127,128,
129,130,131,132,133,135,136,137,140,141,142,144,145,146,147,148,149,150,153,
154,155,156,157,158,159,160,161,162,165,166,167,168,170,171,172,174,175,177,
179,180,181,182,183,185,190,191,193,195,196,197,198,200,202,203,204,205,206,
208,209,212,213,214,215,216,217,218,220,221,222,223,224,225,226,229,306,312,
314,315,318,319,320,323,326,327,328,329,330,331,334,337,338,340,343,344,351,
352,355,356,358,359,362,363,367,374,376,378,380,381,382,384,386,387,389,390,
391,394,395,399,400,402,406,407,409,410,412,413,414,415,417,420,422,423,424,
425,427,428,430,432,433,434,435,439,443,444,447,451,452,457,458,459,462,466,
467,468,471,472,474,476,477,478,481,482,483,484,485,486,488,496,498,500,624,
625,633,636,644,646,650,659,660,663,665,669,673,674,675,680,684,686,688,689,
690,695,696,697,704,707,721,723,725,726,727,731,735,736,743,744,747,748,764,
768,769,785,786,795,796,797,798,811,943,954,959,960,973,975,976,980,990,995,
999,1010,1018,1031,1208],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,
30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,111,112,114,117,118,119,120,
121,123,124,125,126,127,128,130,131,132,133,134,135,136,137,138,139,142,143,
145,146,147,148,150,153,154,155,156,157,158,159,160,161,163,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
190,191,192,195,196,198,199,200,201,202,203,204,205,206,207,209,210,211,212,
213,214,215,216,217,220,222,223,224,225,227,228,307,310,314,316,318,320,321,
322,323,324,328,329,330,331,332,333,338,339,340,341,343,348,349,350,351,353,
354,360,362,365,367,374,375,376,377,378,379,380,381,383,385,386,387,388,392,
395,399,400,402,404,405,408,411,412,413,416,417,418,419,420,421,422,423,424,
426,430,431,432,436,437,438,443,444,447,450,452,456,457,458,460,467,468,470,
472,473,474,475,476,478,482,487,488,489,490,491,492,493,497,499,626,630,634,
638,644,647,652,658,661,664,667,670,672,673,675,677,679,680,682,687,688,689,
692,696,704,705,712,714,721,722,726,727,737,739,740,741,742,745,765,766,767,
783,784,799,800,801,802,811,942,953,955,957,970,971,974,980,992,998,1002,1006,
1017,1030,1209],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,31,32,33,
35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,73,74,110,111,112,113,114,117,119,121,122,124,125,
126,127,128,129,130,131,132,133,134,136,137,138,140,141,144,146,147,148,149,
151,152,153,154,155,156,157,158,159,160,161,162,165,166,167,168,170,172,174,
175,176,177,178,179,180,181,182,183,187,188,189,190,191,192,193,195,196,197,
198,199,200,202,203,204,206,208,209,210,212,213,214,215,216,217,220,223,224,
225,226,229,306,309,312,314,315,318,319,325,326,327,328,329,331,334,341,343,
344,347,349,350,351,352,355,356,358,359,360,362,363,367,374,375,376,378,379,
380,381,382,384,386,389,390,391,395,396,399,406,407,409,410,411,414,415,416,
421,422,423,424,425,427,428,429,430,433,434,435,439,443,444,446,447,450,451,
452,457,458,460,462,466,467,468,471,472,477,478,479,481,482,483,484,485,486,
493,496,498,500,625,631,633,636,642,645,646,659,660,662,665,669,674,675,676,
682,683,686,689,690,692,694,695,696,697,705,709,711,712,714,716,720,722,735,
736,743,744,747,748,764,768,769,785,786,795,796,797,798,810,944,952,954,959,
961,972,976,977,979,994,996,1000,1007,1018,1031,1210],[1,2,3,6,7,8,9,10,11,12,
13,14,15,16,17,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,108,
111,112,117,118,119,120,121,123,124,125,126,127,128,129,130,131,132,133,134,
136,137,138,139,140,143,145,146,149,150,151,152,153,154,155,156,157,158,159,
160,161,165,166,167,168,169,170,172,173,175,176,177,178,181,183,184,185,187,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,
210,211,212,213,214,219,220,223,224,225,227,228,307,310,311,314,316,320,322,
324,327,330,331,332,333,338,339,340,341,343,346,348,349,350,352,354,355,360,
362,365,374,375,377,378,379,380,381,382,383,385,387,388,392,393,395,396,400,
404,405,408,409,411,414,415,416,417,418,419,420,421,424,426,429,431,432,436,
437,438,443,444,447,450,451,452,457,458,460,466,467,468,469,470,473,474,475,
476,479,484,487,488,489,490,491,492,493,497,499,626,629,634,638,640,648,652,
658,661,667,668,670,672,673,676,678,679,680,681,682,687,688,690,692,697,707,
709,711,716,720,723,725,731,737,739,740,741,742,745,765,766,767,783,784,799,
800,801,802,812,946,951,953,956,957,969,974,978,981,989,997,1003,1008,1017,
1030,1211],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,32,33,34,35,36,
37,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,61,62,63,64,65,66,67,68,
69,70,71,72,74,75,110,112,115,116,119,120,121,123,124,125,127,128,129,130,132,
133,134,136,137,138,139,143,144,145,146,147,149,150,154,155,158,159,162,164,
166,175,176,177,178,179,180,181,187,188,189,190,192,193,194,195,196,201,202,
203,204,205,207,209,210,211,212,213,214,216,217,219,220,223,225,227,228,230,
231,232,308,309,310,312,313,316,325,330,332,333,336,339,340,341,342,347,348,
350,360,371,372,376,377,379,381,382,383,385,386,388,392,393,404,405,408,411,
416,418,419,420,421,431,432,433,436,437,438,445,446,450,460,461,471,473,474,
475,476,477,488,489,490,491,492,493,497,499,502,504,506,507,509,622,627,628,
649,653,654,662,671,674,683,691,694,743,746,751,752,756,757,762,766,767,777,
778,781,783,784,800,801,802,807,809,813,816,821,948,972,1005,1012,1015,1023,
1027,1212],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,34,35,36,38,
39,40,42,44,45,47,48,49,52,53,55,56,57,58,60,61,62,63,64,65,67,68,69,70,71,72,
75,112,114,115,116,119,120,123,125,127,128,132,133,134,136,137,139,143,144,
145,146,147,149,150,155,158,159,161,162,166,175,176,178,179,181,182,187,192,
194,195,196,201,202,203,205,207,209,210,211,212,213,214,216,217,219,220,227,
228,230,231,232,308,312,316,318,332,336,337,339,340,342,348,350,371,372,376,
377,378,381,383,386,388,392,393,404,405,408,417,418,420,431,433,436,437,443,
445,459,461,468,471,475,476,477,488,490,492,493,497,502,504,506,507,509,621,
627,649,654,663,674,684,689,691,746,747,752,756,758,765,776,779,780,784,799,
805,809,813,817,822,947,973,1005,1012,1014,1022,1028,1213],[1,2,3,7,8,9,10,11,
12,13,14,15,16,26,28,31,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,52,53,54,
56,57,58,60,61,62,63,64,65,66,67,70,71,73,74,75,109,117,118,119,121,122,124,
125,126,127,130,132,133,136,137,140,141,143,144,145,147,148,149,150,156,157,
161,163,164,166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,
196,197,198,202,203,208,209,210,214,215,216,217,218,221,223,224,226,229,230,
231,232,305,313,315,320,321,322,326,328,334,335,351,352,353,355,356,357,358,
359,367,369,370,374,376,379,380,387,389,390,391,394,406,407,409,410,415,422,
423,425,428,430,431,433,434,435,439,452,454,456,464,468,471,472,473,475,477,
478,481,482,483,484,485,486,498,500,502,503,505,508,510,623,635,637,651,655,
656,664,666,672,677,680,699,741,749,750,753,755,759,760,768,769,772,774,782,
785,786,796,797,798,804,809,814,820,823,950,970,1009,1011,1016,1024,1025,
1214],[1,2,3,9,10,11,12,13,14,15,16,17,26,31,33,35,36,37,42,43,44,46,48,52,53,
54,56,57,58,60,61,62,63,64,65,68,69,70,71,73,75,108,109,117,121,122,124,125,
126,127,132,134,136,137,141,143,144,145,147,148,149,150,156,167,168,169,170,
174,179,180,181,187,190,191,196,197,199,203,204,208,209,210,214,215,216,217,
218,221,226,229,230,231,232,305,311,322,326,335,346,355,356,357,358,359,367,
369,370,375,379,380,387,390,391,394,406,407,410,414,415,428,431,433,434,435,
451,454,464,466,469,471,472,473,475,481,482,483,484,500,502,503,505,508,510,
620,637,651,656,668,672,678,681,699,740,749,750,755,761,764,771,773,775,786,
795,806,809,814,819,824,949,969,1009,1011,1013,1021,1026,1215],[1,2,3,9,10,11,
12,13,14,15,16,26,31,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,60,61,
62,63,65,70,71,72,73,75,108,109,110,117,121,122,126,127,132,136,137,139,141,
144,147,148,149,156,167,168,169,170,174,178,179,180,181,187,188,189,190,191,
196,197,208,215,216,217,218,221,226,227,228,229,230,231,232,233,234,235,236,
305,311,322,325,326,335,346,355,356,357,358,359,361,367,368,369,370,380,390,
391,394,398,403,406,407,408,410,414,415,428,433,434,435,454,455,456,464,465,
471,472,481,482,483,484,500,502,503,505,507,509,512,513,514,515,516,620,632,
637,643,656,668,677,699,700,702,715,717,718,719,733,750,755,761,764,771,772,
782,786,788,789,791,794,795,804,813,815,820,824,939,949,993,1016,1020,1021,
1025,1032,1040,1042,1050,1216],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,
29,30,31,34,35,36,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,63,64,65,67,68,69,70,71,72,73,75,112,114,115,116,118,119,120,123,125,
127,128,129,132,134,136,139,141,143,145,146,150,153,155,158,159,161,162,163,
166,172,173,174,175,176,178,179,181,182,183,184,186,187,192,193,194,200,201,
204,205,207,209,210,211,212,214,219,220,226,227,228,229,230,231,232,233,234,
235,236,308,312,316,318,321,324,332,336,337,339,340,342,345,348,350,362,363,
364,366,371,372,377,378,382,383,388,393,397,401,404,405,408,410,417,418,420,
424,427,431,436,437,445,446,449,461,462,463,475,476,488,490,492,493,496,497,
502,504,506,508,510,512,513,514,515,516,621,627,639,641,654,663,669,683,691,
693,695,706,713,724,728,729,730,752,756,758,765,777,778,779,784,787,790,792,
793,799,807,814,815,816,822,941,947,991,1015,1019,1022,1027,1033,1038,1044,
1048,1217],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,32,33,34,35,
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,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,110,112,115,116,118,119,120,121,123,
124,125,127,128,130,132,134,136,138,139,141,143,145,146,150,154,155,158,159,
162,163,164,166,172,173,174,175,176,177,178,179,180,181,183,184,186,187,188,
189,190,192,194,201,203,205,207,209,210,211,212,213,214,219,223,225,226,227,
228,229,230,231,232,233,234,235,236,308,309,310,312,313,316,321,324,325,330,
332,333,336,339,340,341,342,345,347,348,350,360,364,366,371,372,377,379,381,
383,385,388,393,397,401,404,405,408,410,411,416,418,419,420,421,431,432,436,
437,438,445,449,459,461,463,473,474,475,476,488,489,490,491,492,493,497,499,
502,504,506,508,510,512,513,514,515,516,622,627,628,639,641,653,654,662,671,
684,691,693,703,710,713,724,729,730,751,752,756,757,762,766,767,776,780,781,
783,784,787,790,792,793,800,801,802,805,814,815,817,821,940,948,991,1014,1019,
1023,1028,1034,1037,1043,1047,1218],[1,2,3,7,8,9,10,11,12,13,14,15,16,17,26,
28,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,109,110,117,118,119,121,122,
126,127,130,132,133,134,136,137,139,140,141,144,147,148,149,153,156,157,161,
163,164,165,166,167,168,169,170,174,176,177,178,179,180,181,185,186,187,188,
189,190,191,196,197,198,199,200,202,204,206,208,215,216,217,218,221,223,224,
226,227,228,229,230,231,232,233,234,235,236,305,313,315,320,321,322,325,326,
328,331,334,335,351,352,353,354,355,356,357,358,359,361,367,368,369,370,374,
375,376,389,390,391,394,398,403,406,407,408,409,410,415,422,423,424,425,426,
428,430,433,434,435,439,454,455,464,465,469,470,471,472,477,478,481,482,483,
484,485,486,487,498,500,502,503,505,507,509,512,513,514,515,516,623,632,635,
637,643,655,656,664,666,667,678,679,699,700,708,717,718,719,732,733,750,753,
755,759,760,768,769,773,774,775,785,786,788,789,791,794,796,797,798,806,813,
815,819,823,945,950,993,1013,1020,1024,1026,1035,1039,1045,1049,1219],[1,2,4,
10,11,16,20,23,26,33,52,63,76,86,90,92,96,102,108,170,191,237,262,267,278,293,
346,518,530,537,558,585,836,852,898,1052,1220],[1,2,3,4,5,6,7,9,10,12,14,15,
17,21,22,24,29,36,38,48,49,50,59,67,68,77,82,84,86,87,95,99,103,111,161,183,
195,204,238,255,257,258,268,273,296,343,520,532,533,544,562,589,839,847,855,
895,1054,1221],[1,2,3,4,5,7,8,9,12,13,16,17,21,22,23,24,27,38,39,51,53,57,60,
68,77,83,84,85,89,93,94,98,100,102,103,114,162,172,193,200,238,256,264,265,
270,271,275,294,295,363,519,521,536,538,540,567,571,583,587,837,838,858,888,
893,1055,1222],[1,2,3,4,5,6,7,8,9,13,16,17,21,22,23,24,28,40,41,50,51,54,57,
61,69,77,82,84,85,87,88,93,95,99,100,102,103,115,163,173,194,201,238,255,264,
265,268,269,272,276,294,296,364,519,520,534,535,539,541,568,573,584,588,837,
839,856,857,889,894,1056,1223],[1,2,4,10,11,16,20,23,32,33,52,55,70,76,86,90,
91,92,96,102,109,189,221,237,262,263,267,284,293,361,518,529,531,543,576,590,
836,853,854,900,1053,1224],[1,2,4,10,11,16,20,23,32,33,52,55,70,76,86,90,91,
92,109,189,221,240,262,281,284,361,518,529,531,543,853,880,1053,1225],[1,2,4,
10,11,16,20,23,26,33,52,63,76,86,90,91,92,109,170,208,240,260,278,284,335,518,
529,531,543,845,874,1053,1226],[1,2,3,4,5,6,9,10,12,14,15,21,24,27,29,36,47,
48,64,77,82,84,86,87,95,111,158,203,241,258,271,273,338,520,532,533,544,846,
876,1054,1227],[1,2,3,4,5,6,9,10,12,14,15,19,23,24,26,29,36,46,48,62,77,82,84,
86,87,95,111,167,202,239,253,273,278,327,520,532,533,544,848,879,1054,1228],[
1,2,4,10,11,16,20,23,26,33,52,63,76,86,90,92,108,170,191,240,267,278,284,346,
518,530,537,852,875,1052,1229],[1,2,3,4,9,10,12,13,14,15,20,21,23,26,35,36,42,
46,48,62,76,86,90,92,93,97,100,104,108,117,126,156,167,240,252,258,278,283,
288,301,311,518,530,537,546,554,560,581,828,835,866,906,1052,1230],[1,2,3,4,5,
7,9,10,12,13,15,19,22,23,24,27,35,38,41,46,47,48,49,66,67,77,83,84,85,89,92,
93,94,99,101,104,114,118,135,160,171,182,185,239,253,257,271,275,277,286,301,
323,519,521,536,538,540,547,561,569,579,830,832,868,907,1055,1231],[1,2,3,4,5,
6,7,9,11,12,14,17,20,21,23,24,27,29,37,38,43,44,50,59,68,77,83,84,85,89,93,94,
95,96,97,105,113,114,129,165,183,241,254,259,271,275,280,289,302,319,519,521,
536,538,540,545,559,565,580,829,833,867,905,1055,1232],[1,2,3,6,9,10,11,12,14,
18,27,29,31,33,36,37,43,44,80,109,111,112,113,121,122,242,305,306,618,842,
1065,1233],[1,2,3,9,10,11,12,13,14,15,16,18,26,31,33,35,36,37,42,43,44,46,48,
52,53,56,57,58,60,62,63,65,71,78,79,80,109,117,121,122,132,137,167,168,169,
170,179,180,181,187,190,196,197,208,215,216,243,305,322,326,335,355,356,357,
358,359,390,391,637,842,1062,1063,1065,1234],[1,2,3,8,9,10,11,12,13,14,15,16,
18,28,31,33,35,36,37,39,43,44,45,47,49,53,56,57,58,62,63,64,66,71,79,80,109,
119,121,122,130,137,157,164,166,168,176,177,179,180,197,202,208,215,216,244,
305,313,315,328,334,357,359,389,390,635,842,1063,1065,1235],[1,2,10,11,16,18,
26,33,52,63,75,78,109,170,191,208,231,245,335,456,503,772,842,1062,1236],[1,2,
3,10,11,12,13,15,16,17,18,33,35,56,58,62,63,68,75,79,109,168,180,197,199,215,
231,246,357,469,505,773,842,1063,1237],[1,2,10,11,16,18,26,33,52,63,70,75,78,
108,170,191,221,231,245,346,454,503,771,843,1064,1238],[1,2,4,9,11,23,25,31,
32,91,93,106,110,247,279,281,528,549,608,921,1071,1239],[1,2,4,10,23,25,26,86,
92,106,108,247,278,528,537,607,920,1070,1240],[1,2,4,10,11,16,20,23,25,32,33,
52,55,70,90,91,96,106,189,247,260,263,267,281,284,528,574,576,1067,1241],[1,2,
3,4,6,7,8,13,17,21,23,25,40,41,50,51,69,82,83,100,106,173,247,254,255,256,276,
277,528,572,573,1066,1242],[1,2,3,4,10,11,12,13,14,15,16,20,21,23,25,42,44,48,
52,53,58,71,86,91,97,106,181,247,258,260,262,266,282,283,528,555,578,1068,
1243],[1,2,4,16,23,25,72,73,75,102,106,234,247,290,291,528,592,593,1244],[1,2,
4,11,16,18,20,55,76,78,91,237,263,517,614,1245],[1,2,4,10,11,16,18,20,52,76,
78,90,91,237,260,267,517,613,614,1246],[1,2,4,10,11,16,18,20,23,52,76,78,86,
90,92,96,102,107,237,240,245,262,267,293,304,518,522,613,616,836,928,1073,
1247],[1,2,3,4,5,9,13,16,18,19,21,22,23,24,57,77,78,84,85,93,100,101,102,107,
238,239,241,245,264,265,294,304,519,523,610,616,837,925,1074,1248],[1,2,3,5,6,
8,9,10,12,13,14,15,19,26,28,29,30,34,35,36,39,40,42,45,46,48,62,84,87,108,111,
115,116,117,119,120,123,126,156,167,198,202,253,307,308,311,327,352,374,532,
535,619,629,647,848,933,1076,1249],[1,2,3,5,6,7,8,9,10,12,13,14,15,16,17,22,
26,28,29,30,34,35,36,38,39,40,41,42,45,47,48,49,50,51,53,54,57,59,61,62,63,67,
68,69,84,87,111,115,116,117,118,119,120,123,127,133,134,156,157,161,163,172,
173,174,179,183,184,185,186,191,194,195,196,199,201,204,207,216,217,219,220,
257,264,268,307,308,320,321,324,329,343,345,351,362,364,365,366,367,375,376,
377,380,392,393,532,535,619,630,638,639,648,649,652,849,855,857,934,1076,
1250],[1,2,3,4,6,7,9,10,11,12,14,15,17,21,27,29,31,33,36,37,38,43,44,47,48,49,
50,59,64,67,68,82,86,109,111,112,113,114,121,122,128,129,158,161,165,175,182,
183,193,195,203,204,206,213,255,258,305,306,318,319,330,331,338,343,344,381,
382,384,529,533,618,624,625,645,646,846,847,935,1075,1251],[1,2,3,4,6,9,10,11,
12,14,15,16,20,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,65,70,82,86,109,
110,111,112,113,121,122,124,136,154,175,178,187,188,189,209,210,212,214,218,
221,252,262,305,306,309,325,349,350,360,361,368,378,379,394,529,533,618,631,
632,650,651,851,853,936,1075,1252],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,24,26,
27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,
62,63,64,65,66,71,84,87,111,112,113,115,116,117,119,120,121,122,123,125,130,
131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,
180,181,187,190,192,203,205,209,211,214,271,273,280,306,307,308,310,312,313,
314,315,316,317,322,326,332,333,336,338,339,340,341,342,348,349,383,385,387,
388,395,532,535,619,626,627,628,634,661,701,861,876,878,938,1076,1253],[1,2,3,
4,6,8,9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,82,86,109,111,112,113,117,
119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,
167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,215,216,276,278,
283,305,306,307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,
356,357,358,359,386,389,390,391,395,529,533,618,633,635,636,637,660,701,860,
874,879,937,1075,1254],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,20,21,23,26,27,28,
29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,
65,66,71,90,91,92,97,100,109,111,112,113,117,119,120,121,122,123,125,130,131,
132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,
181,187,190,196,197,202,208,215,216,260,261,266,279,282,284,288,305,306,307,
310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,359,
386,389,390,391,395,531,543,548,552,553,556,578,618,633,635,636,637,660,701,
845,850,859,873,937,1079,1094,1095,1255],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
20,21,23,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,
56,57,58,60,62,63,64,65,66,71,82,86,93,96,97,111,112,113,115,116,117,119,120,
121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,
169,170,176,177,179,180,181,187,190,192,203,205,209,211,214,252,258,262,276,
278,283,289,306,307,308,310,312,313,314,315,316,317,322,326,332,333,336,338,
339,340,341,342,348,349,383,385,387,388,395,533,539,546,554,555,558,575,619,
626,627,628,634,661,701,846,851,860,872,938,1080,1099,1100,1256],[1,2,3,5,6,8,
9,10,11,12,13,14,15,16,19,22,24,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,84,87,95,98,101,109,111,
112,113,117,119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,
162,164,166,167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,215,
216,253,257,264,271,273,280,287,305,306,307,310,312,313,314,315,316,317,322,
326,327,328,329,334,335,355,356,357,358,359,386,389,390,391,395,532,544,545,
567,569,570,577,618,633,635,636,637,660,701,848,849,861,871,937,1081,1092,
1093,1257],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,24,27,28,29,30,31,34,35,36,
38,39,40,42,44,45,47,48,49,52,53,55,56,57,58,60,63,64,65,67,70,71,72,85,87,88,
89,112,114,115,116,119,120,123,125,128,132,136,139,143,145,146,150,155,158,
159,161,162,166,175,176,178,179,181,182,187,192,205,209,210,211,212,214,227,
228,272,273,274,285,308,312,316,318,332,336,337,339,340,342,348,350,371,372,
378,383,388,404,405,408,417,418,420,431,436,437,475,476,488,490,492,493,497,
534,536,550,621,627,654,663,752,758,765,784,799,862,877,883,909,947,1078,
1258],[1,2,3,4,9,10,11,12,13,14,15,16,23,26,31,33,35,36,37,42,43,44,46,48,52,
53,54,56,57,58,60,61,62,63,65,71,73,90,91,108,109,117,121,122,126,127,132,137,
141,144,147,148,149,156,167,168,169,170,174,179,180,181,187,190,191,196,197,
208,215,216,217,226,229,279,282,284,305,311,322,326,335,346,355,356,357,358,
359,367,369,370,380,390,391,406,407,410,414,415,428,433,434,435,471,472,481,
482,483,484,500,530,531,551,620,637,656,668,750,761,764,786,795,859,875,882,
910,949,1077,1259],[1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,31,33,35,36,37,
42,43,44,46,48,52,53,56,57,58,60,62,63,64,65,70,71,90,91,97,102,104,109,117,
121,122,124,125,132,136,137,143,145,150,167,168,169,170,179,180,181,187,190,
196,197,203,208,209,210,214,215,216,218,221,260,261,266,279,282,284,300,305,
322,326,335,355,356,357,358,359,379,387,390,391,394,431,454,464,473,475,531,
556,578,582,586,590,637,651,672,699,749,845,850,859,901,1009,1094,1116,1118,
1260],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,35,36,
39,40,42,44,45,46,47,48,49,52,53,56,58,61,62,63,64,65,66,68,69,71,82,86,97,
102,104,111,112,117,119,120,123,125,126,127,130,134,137,147,148,154,157,158,
159,160,166,167,176,181,187,191,192,196,198,199,201,202,203,204,205,207,209,
214,216,252,258,262,276,278,283,300,307,314,316,333,338,339,340,341,349,374,
375,377,380,385,386,387,430,447,460,472,478,533,554,555,581,584,585,626,647,
652,675,692,741,745,846,851,860,902,1006,1100,1117,1121,1261],[1,2,3,5,6,9,10,
11,12,13,14,15,16,17,19,22,24,26,27,29,31,33,35,36,37,42,43,44,46,47,48,49,52,
53,57,58,62,63,64,66,67,68,69,71,84,87,101,103,105,111,112,113,117,121,122,
128,129,130,134,137,151,152,154,157,158,160,167,170,179,180,181,190,193,195,
196,197,199,202,203,204,206,213,215,216,253,257,264,271,273,280,299,306,314,
326,327,328,329,334,355,356,375,381,382,384,386,389,429,444,466,479,532,569,
577,580,587,589,636,645,646,676,690,743,744,848,849,861,904,1007,1093,1115,
1119,1262],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,21,23,26,27,28,31,32,35,36,
38,39,42,44,45,46,47,48,49,51,53,54,57,58,60,62,63,64,65,66,67,68,71,74,83,86,
91,93,100,102,110,112,114,117,119,124,128,129,130,132,137,138,146,148,149,153,
154,155,156,157,158,159,160,161,162,167,172,174,175,176,179,182,191,192,193,
196,198,200,202,203,204,210,213,216,217,220,223,225,256,258,266,275,278,279,
281,283,292,294,309,312,314,318,341,347,351,352,362,363,367,381,382,386,396,
399,411,414,416,421,422,424,425,427,443,444,450,460,466,468,481,486,493,496,
538,546,549,552,560,571,583,585,586,597,642,662,665,669,689,690,694,705,709,
720,722,865,888,891,899,944,1104,1110,1125,1263],[1,2,3,4,7,9,10,11,12,13,14,
15,16,17,20,23,26,27,31,33,35,36,37,38,41,42,43,44,46,47,48,49,52,55,56,59,60,
61,62,63,64,65,66,67,68,69,71,74,83,86,91,92,96,102,108,112,117,118,121,125,
126,127,130,132,133,134,140,146,149,150,153,154,156,157,158,160,161,165,167,
168,169,170,175,178,185,187,191,196,197,199,200,203,204,206,209,210,212,213,
214,223,224,259,262,263,275,277,278,279,282,292,293,311,314,320,322,330,331,
346,350,354,355,360,375,380,387,396,400,409,414,415,416,417,419,424,426,450,
451,452,466,467,468,484,487,490,491,537,547,548,558,559,564,583,585,586,598,
640,667,668,670,680,681,682,707,709,716,731,865,890,897,898,946,1104,1112,
1126,1264],[1,2,4,10,11,16,20,26,32,33,52,55,63,70,72,73,75,90,91,108,109,141,
144,170,189,191,208,221,228,231,234,235,263,267,335,346,361,398,434,454,455,
456,503,509,512,530,531,551,620,715,733,771,772,791,820,852,854,912,1042,1077,
1265],[1,2,3,5,6,7,8,9,12,13,16,17,22,27,28,38,39,40,41,50,51,53,54,57,60,61,
65,68,69,72,73,75,85,87,88,89,114,115,139,143,159,162,163,172,173,186,193,194,
200,201,211,212,226,229,230,234,236,265,268,269,270,336,337,363,364,401,436,
445,446,462,463,504,508,513,534,536,550,621,728,729,778,779,793,816,856,858,
911,1044,1078,1266],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,
31,33,35,36,37,38,39,43,45,46,47,48,49,51,52,53,54,55,58,59,62,63,64,65,66,67,
68,74,83,86,91,96,100,104,119,121,124,126,128,130,133,135,138,140,142,145,146,
147,148,151,152,154,156,157,158,159,160,161,164,165,167,170,171,172,174,175,
176,178,180,182,185,192,196,197,198,202,203,204,205,206,209,210,213,215,217,
220,222,223,224,225,256,258,259,262,263,266,275,278,279,292,298,313,328,330,
331,340,341,351,352,355,360,362,370,372,373,396,399,400,402,409,411,412,413,
429,430,432,438,439,440,441,443,444,447,450,451,452,457,458,460,466,467,468,
482,485,489,493,495,552,558,559,560,564,571,579,581,582,600,712,716,720,722,
725,726,727,731,734,751,753,754,810,811,812,865,884,885,887,1046,1125,1126,
1131,1267],[1,2,3,4,10,11,12,13,15,16,20,21,23,26,32,33,35,48,52,54,55,56,58,
61,62,63,70,72,75,86,91,96,100,104,109,126,127,147,148,149,156,168,170,174,
180,189,191,197,208,215,217,221,228,231,233,236,258,260,262,263,278,281,290,
298,335,357,361,370,398,407,415,428,454,455,456,482,483,484,503,507,514,558,
560,574,581,595,656,702,733,772,789,804,824,863,887,1050,1113,1123,1129,
1268],[1,2,3,4,6,7,8,9,11,13,15,16,17,20,21,23,28,31,40,41,50,51,54,55,57,58,
61,64,65,69,73,75,83,91,96,100,104,115,124,143,146,155,163,173,176,178,192,
194,201,205,213,226,230,233,235,254,256,263,266,277,279,291,298,342,364,371,
397,404,421,449,459,461,489,506,508,515,552,564,572,582,594,653,703,730,776,
790,805,821,864,884,1047,1114,1124,1130,1269],[1,2,3,4,9,10,11,12,14,15,16,20,
21,23,26,32,33,36,37,43,44,46,48,52,55,56,60,62,63,65,70,71,72,73,75,86,91,97,
102,104,122,126,132,137,141,144,147,148,149,167,170,188,189,191,196,197,208,
215,216,218,221,228,231,234,235,252,258,261,263,278,281,290,300,356,368,391,
398,407,414,415,433,434,454,456,465,472,500,503,509,512,554,557,581,585,593,
702,717,764,782,791,820,824,863,902,1040,1105,1113,1122,1270],[1,2,3,4,7,8,9,
10,11,12,13,14,15,16,17,20,21,23,28,30,31,36,41,42,45,51,52,54,56,57,59,61,62,
64,65,66,69,71,72,73,75,83,91,97,102,104,123,124,125,130,139,145,146,150,155,
163,184,187,192,194,203,205,207,209,210,211,213,214,226,230,234,236,256,259,
260,261,277,279,291,300,345,348,385,397,405,419,421,432,437,459,461,463,473,
497,506,510,513,556,566,582,586,592,703,713,766,780,792,817,821,864,901,1037,
1106,1114,1127,1271],[1,2,3,4,9,10,11,12,13,14,15,16,23,26,31,32,33,35,36,37,
42,43,46,48,52,55,56,60,61,62,63,65,70,72,86,91,92,93,104,108,110,117,121,126,
127,132,136,139,149,156,167,168,169,170,178,187,188,189,191,196,197,227,228,
278,279,281,283,290,301,311,322,325,346,355,380,398,403,408,414,415,456,484,
537,546,549,581,596,643,668,677,702,715,863,906,939,1107,1109,1113,1272],[1,2,
3,4,7,8,9,10,11,12,13,14,15,16,23,27,28,31,32,35,36,38,39,41,44,45,46,49,53,
54,57,58,60,61,63,64,65,67,73,83,91,92,93,104,110,112,118,119,124,127,128,132,
141,146,154,155,159,162,163,174,175,176,179,186,192,203,210,213,226,229,275,
277,279,281,282,291,301,309,312,321,341,347,381,397,401,410,416,421,459,493,
547,548,549,582,599,641,662,684,703,710,864,908,940,1108,1111,1114,1273],[1,2,
3,4,7,9,10,11,12,13,14,15,23,26,27,31,32,35,36,38,41,42,44,46,47,48,49,62,64,
66,67,74,83,86,91,92,93,104,108,110,112,114,117,118,124,126,128,130,133,135,
138,140,142,154,156,157,158,160,161,167,171,175,182,185,222,223,224,225,275,
277,278,279,281,282,283,292,301,309,311,314,318,320,323,396,399,400,402,409,
411,412,413,441,537,538,546,547,548,549,579,581,582,597,598,600,640,642,644,
734,865,906,907,908,915,932,1110,1112,1131,1274],[1,2,3,4,7,8,9,10,11,12,13,
14,15,16,20,23,27,28,31,35,36,38,39,41,44,45,49,52,53,54,55,56,57,58,60,61,63,
64,65,70,72,73,75,83,91,92,96,102,112,118,119,127,132,136,139,141,143,145,150,
155,159,162,163,174,175,176,178,179,186,187,205,210,211,212,214,226,227,228,
229,230,231,232,233,234,235,236,263,275,277,279,282,291,293,312,321,332,350,
371,372,397,401,408,410,431,436,437,488,492,502,504,506,508,510,512,513,514,
515,516,547,548,564,586,592,594,599,641,752,756,787,790,792,793,814,815,864,
890,913,1019,1106,1111,1130,1275],[1,2,3,4,9,10,11,12,13,14,15,16,21,23,26,31,
32,33,35,36,37,42,43,48,52,53,54,55,56,57,58,60,61,62,63,65,70,72,73,75,86,91,
93,100,102,110,117,121,127,132,136,139,141,144,147,149,156,168,169,170,174,
178,179,180,187,188,189,191,197,208,216,217,226,227,228,229,230,231,232,233,
234,235,236,258,278,279,281,283,290,294,322,325,359,367,369,370,398,403,408,
410,433,434,435,483,484,502,503,505,507,509,512,513,514,515,516,546,549,560,
585,593,595,596,643,750,755,788,789,791,794,813,815,863,899,914,1020,1105,
1109,1129,1276],[1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,21,23,26,28,29,30,34,35,
36,38,39,40,41,42,45,47,48,49,50,51,53,54,57,59,61,62,63,67,68,69,82,86,93,
100,102,111,115,116,117,118,119,120,123,127,133,134,156,157,161,163,172,173,
174,179,183,184,185,186,191,194,195,196,199,201,204,207,216,217,219,220,255,
258,276,278,283,294,307,308,320,321,324,329,343,345,351,362,364,365,366,367,
375,376,377,380,392,393,533,539,546,560,573,584,585,619,630,638,639,648,649,
652,847,860,889,899,934,1080,1091,1121,1277],[1,2,3,5,6,7,9,10,11,12,14,15,17,
22,24,27,29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,84,87,95,99,103,109,
111,112,113,114,121,122,128,129,158,161,165,175,182,183,193,195,203,204,206,
213,257,268,271,273,280,296,305,306,318,319,330,331,338,343,344,381,382,384,
532,544,545,561,562,587,589,618,624,625,645,646,855,861,892,895,935,1081,1097,
1119,1278],[1,2,3,5,6,7,8,9,10,12,13,14,15,16,17,22,24,26,28,29,30,34,35,36,
38,39,40,41,42,45,47,48,49,50,51,53,54,57,59,61,62,63,67,68,69,85,87,88,95,99,
103,111,115,116,117,118,119,120,123,127,133,134,156,157,161,163,172,173,174,
179,183,184,185,186,191,194,195,196,199,201,204,207,216,217,219,220,265,268,
269,272,273,274,285,296,307,308,320,321,324,329,343,345,351,362,364,365,366,
367,375,376,377,380,392,393,534,541,542,544,562,563,568,588,589,591,619,630,
638,639,648,649,652,856,862,894,895,896,934,1082,1098,1120,1279],[1,2,3,4,6,9,
10,11,12,14,15,16,20,23,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,65,70,90,
91,92,96,102,109,110,111,112,113,121,122,124,136,154,175,178,187,188,189,209,
210,212,214,218,221,263,267,279,282,284,293,305,306,309,325,349,350,360,361,
368,378,379,394,531,543,548,564,576,586,590,618,631,632,650,651,854,859,890,
900,936,1079,1096,1118,1280],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,20,23,26,
28,29,30,31,33,35,36,37,39,40,42,43,45,46,48,49,52,56,57,58,60,61,62,63,64,65,
68,69,71,82,86,92,96,102,108,111,117,119,120,121,123,125,126,127,132,134,149,
154,155,156,167,168,169,170,176,177,187,190,191,196,197,198,199,201,202,203,
204,205,207,209,211,214,252,262,276,278,283,293,307,310,311,322,327,332,333,
346,348,349,352,355,374,375,377,380,387,388,414,415,451,466,470,484,533,537,
558,575,584,585,629,634,652,668,679,681,741,851,860,879,898,1003,1099,1101,
1121,1281],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,22,24,27,28,29,31,33,35,
36,37,38,39,43,44,45,47,48,49,51,53,56,57,58,60,62,63,64,65,67,68,71,84,87,94,
98,103,111,112,113,114,119,121,122,128,129,132,137,153,155,157,158,159,161,
162,166,168,172,175,177,179,180,182,193,195,196,197,200,202,203,204,206,208,
213,216,220,257,264,271,273,280,295,306,312,315,318,329,330,334,338,358,359,
362,363,381,382,384,386,391,424,427,443,459,468,496,532,540,567,570,587,589,
624,633,646,669,684,689,743,849,861,876,893,999,1092,1102,1119,1282],[1,2,3,4,
8,9,10,11,12,13,14,15,16,21,23,28,31,32,33,35,36,37,39,43,44,45,47,49,52,53,
55,56,57,58,62,63,64,65,66,70,71,90,91,93,100,102,109,110,119,121,122,124,130,
136,137,146,150,155,157,164,166,168,176,177,178,179,180,187,188,189,197,202,
205,208,210,211,213,214,215,216,218,221,261,266,279,281,282,284,294,305,313,
315,325,328,332,334,347,357,359,361,368,379,389,390,394,418,419,453,455,465,
489,492,531,549,552,553,586,590,632,635,651,671,698,700,749,850,859,880,891,
1004,1095,1103,1118,1283],[1,2,3,4,8,9,10,11,12,13,14,15,16,20,21,23,28,31,32,
33,35,36,37,39,43,44,45,47,49,52,53,55,56,57,58,62,63,64,65,66,70,71,90,91,96,
100,104,109,110,119,121,122,124,130,136,137,146,150,155,157,164,166,168,176,
177,178,179,180,187,188,189,197,202,205,208,210,211,213,214,215,216,218,221,
261,263,266,267,279,282,284,298,305,313,315,325,328,332,334,347,357,359,361,
368,379,389,390,394,418,419,453,455,465,489,492,531,552,553,564,576,582,632,
635,651,671,698,700,749,850,854,859,884,1004,1095,1096,1116,1284],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,28,29,30,31,33,35,36,37,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,62,63,64,65,67,68,69,71,82,86,96,
100,104,111,117,118,119,120,121,123,125,126,132,133,134,148,154,155,156,157,
161,168,169,170,172,173,176,177,180,183,184,185,187,190,195,198,199,202,203,
204,205,209,211,214,215,217,220,252,255,258,262,276,278,283,298,307,310,320,
322,324,328,332,333,343,348,349,353,362,365,374,375,387,388,392,422,423,443,
457,470,482,533,558,560,573,575,581,634,638,647,664,679,688,745,847,851,860,
887,998,1091,1099,1117,1285],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,22,24,
27,28,29,31,33,35,36,37,38,39,43,44,45,47,48,49,50,51,53,56,57,58,59,60,62,63,
64,65,67,68,71,84,87,98,99,105,111,112,113,114,119,121,122,128,129,132,137,
153,155,157,158,159,161,162,165,166,168,172,175,177,179,180,182,183,193,195,
196,197,200,202,204,206,208,216,220,257,264,268,271,273,280,297,306,312,315,
318,319,329,331,334,343,344,358,359,362,363,382,384,386,391,424,427,446,447,
467,496,532,561,562,567,570,580,625,633,645,669,683,686,744,849,855,861,886,
1000,1092,1097,1115,1286],[1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,31,32,
33,35,36,37,42,43,44,46,48,52,53,55,56,57,58,60,62,63,65,70,71,72,86,91,93,96,
97,109,110,117,121,122,132,136,137,139,167,168,169,170,178,179,180,181,187,
188,189,190,196,197,208,215,216,218,221,227,228,252,258,260,261,262,263,278,
279,281,283,289,290,305,322,325,326,335,355,356,357,358,359,361,368,390,391,
394,398,403,408,454,455,464,465,546,549,554,555,556,557,558,564,574,575,596,
632,637,643,699,700,717,718,719,733,863,870,872,993,1109,1122,1123,1287],[1,2,
3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,35,36,38,39,40,
41,42,44,45,46,47,48,49,50,51,52,53,56,58,59,62,64,65,66,67,68,69,71,74,83,86,
91,92,97,100,108,111,112,117,118,119,120,123,125,126,130,133,134,140,154,156,
157,158,159,160,161,166,167,172,173,176,181,183,184,185,187,192,195,198,199,
202,203,204,205,209,214,220,223,224,252,254,256,258,259,260,261,266,275,277,
278,279,282,288,292,307,311,314,316,320,324,327,333,338,339,340,341,343,349,
352,362,365,374,375,385,387,392,396,400,409,443,447,451,457,460,466,537,547,
548,552,553,554,556,560,565,566,571,572,578,598,626,629,638,640,681,688,692,
711,720,723,725,865,866,869,873,989,1112,1125,1128,1288],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,20,21,23,27,28,29,30,31,34,35,36,38,39,40,41,42,44,45,47,
48,50,51,52,53,54,56,57,58,59,60,61,63,64,65,68,69,71,73,83,91,92,97,100,112,
115,116,118,119,120,123,125,127,132,134,141,155,158,159,162,163,166,172,173,
174,176,179,181,183,184,186,187,192,194,201,205,207,209,211,214,219,226,229,
254,256,259,260,261,266,275,277,279,282,288,291,308,312,316,321,324,332,336,
339,340,342,345,348,364,366,377,383,388,393,397,401,410,445,449,461,463,547,
548,552,553,556,565,566,571,572,578,599,627,639,641,691,693,713,724,729,730,
864,869,873,991,1111,1124,1127,1289],[1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,
20,21,23,26,27,29,31,32,33,35,36,37,38,42,43,44,46,47,48,49,50,52,53,55,56,57,
58,59,62,63,64,65,66,67,68,70,71,74,83,86,91,93,96,97,110,111,112,113,114,117,
121,122,124,128,129,130,136,137,138,154,157,158,160,161,165,167,170,175,178,
179,180,181,182,183,187,188,189,190,193,195,196,197,202,204,206,209,210,212,
214,215,216,223,225,252,254,258,259,260,261,262,263,275,278,279,281,283,289,
292,306,309,314,318,319,325,326,327,328,329,331,334,343,344,349,350,355,356,
360,378,379,382,384,386,389,396,399,411,450,451,452,457,458,460,538,546,549,
554,555,556,557,558,559,564,565,574,575,597,625,631,636,642,694,696,697,711,
712,714,716,865,867,870,872,994,1110,1126,1128,1290],[1,2,3,5,6,7,9,10,11,12,
14,15,17,24,27,29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,84,87,94,95,
105,109,111,112,113,114,121,122,128,129,158,161,165,175,182,183,193,195,203,
204,206,213,271,273,280,302,305,306,318,319,330,331,338,343,344,381,382,384,
532,540,544,545,580,618,624,625,645,646,861,876,905,935,1081,1102,1115,1291],[
1,2,3,4,6,8,9,10,12,13,14,15,23,26,28,29,30,34,35,36,39,40,42,45,46,48,62,82,
86,92,93,104,108,111,115,116,117,119,120,123,126,156,167,198,202,276,278,283,
301,307,308,311,327,352,374,533,537,539,546,581,619,629,647,860,879,906,933,
1080,1101,1117,1292],[1,2,3,4,6,9,10,11,12,14,15,16,23,27,29,31,32,33,36,37,
43,44,46,49,52,55,56,64,65,70,90,91,92,93,104,109,110,111,112,113,121,122,124,
136,154,175,178,187,188,189,209,210,212,214,218,221,279,281,282,284,301,305,
306,309,325,349,350,360,361,368,378,379,394,531,543,548,549,582,618,631,632,
650,651,859,880,908,936,1079,1103,1116,1293],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,20,21,23,26,27,28,29,30,31,35,36,38,39,40,41,42,44,45,46,47,48,49,50,
51,52,53,56,58,59,62,64,65,66,67,68,69,71,74,82,86,92,97,100,108,111,112,117,
118,119,120,123,125,126,130,133,134,140,154,156,157,158,159,160,161,166,167,
172,173,176,181,183,184,185,187,192,195,198,199,202,203,204,205,209,214,220,
223,224,252,255,258,262,276,278,283,288,307,311,314,316,320,324,327,333,338,
339,340,341,343,349,352,362,365,374,375,385,387,392,396,400,409,443,447,451,
457,460,466,533,537,554,555,560,573,626,629,638,640,681,688,692,711,720,723,
725,846,847,851,860,866,879,989,1091,1100,1101,1132,1138,1294],[1,2,3,5,6,7,9,
10,11,12,13,14,15,16,17,19,22,24,26,27,29,31,33,35,36,37,38,41,42,43,44,46,47,
48,49,50,52,53,57,58,59,62,63,64,66,67,68,71,74,84,87,94,99,101,111,112,113,
114,117,118,121,122,128,129,130,133,135,137,142,154,156,157,158,160,161,165,
167,170,171,175,179,180,181,182,183,185,190,193,195,196,197,202,203,204,206,
213,215,216,222,223,224,225,253,257,264,268,271,273,280,286,306,314,318,319,
320,323,326,327,328,329,330,331,334,338,343,344,355,356,381,382,384,386,389,
399,400,402,412,413,443,444,447,466,467,468,532,540,561,562,569,577,624,625,
636,644,686,689,690,721,723,727,731,848,849,855,861,868,876,990,1093,1097,
1102,1133,1136,1295],[1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,31,32,33,35,
36,37,42,43,44,46,48,52,53,55,56,57,58,60,62,63,65,70,71,72,90,91,93,96,97,
109,110,117,121,122,132,136,137,139,167,168,169,170,178,179,180,181,187,188,
189,190,196,197,208,215,216,218,221,227,228,260,261,263,266,267,279,281,282,
284,289,305,322,325,326,335,355,356,357,358,359,361,368,390,391,394,398,403,
408,454,455,464,465,531,549,556,557,564,574,576,578,632,637,643,699,700,717,
718,719,733,845,850,854,859,870,880,993,1094,1096,1103,1139,1141,1296],[1,2,3,
4,6,7,9,10,11,12,13,14,15,16,17,20,21,23,26,27,29,31,35,36,38,46,47,48,49,50,
52,53,56,57,59,60,62,63,64,65,66,67,68,71,74,83,86,91,97,102,104,111,124,125,
126,128,130,131,132,133,135,137,138,140,142,145,146,147,148,149,150,151,152,
153,154,156,157,158,160,161,167,171,175,179,182,183,185,187,191,195,196,200,
202,203,204,209,210,212,214,216,217,222,223,224,225,252,254,258,259,260,261,
275,278,279,292,300,327,329,338,343,349,395,396,399,400,402,409,411,412,413,
414,416,417,422,424,429,430,432,441,443,444,447,450,451,452,457,458,460,466,
467,468,472,473,476,477,480,481,490,494,498,499,501,554,556,565,579,581,582,
583,585,586,600,704,705,707,709,711,714,721,723,734,735,737,738,810,811,812,
865,901,902,903,1041,1104,1128,1131,1297],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,
17,20,21,23,28,30,31,32,33,36,37,41,42,43,45,46,49,51,52,54,55,56,57,58,59,61,
64,65,69,70,71,73,75,83,91,93,96,97,110,121,123,125,136,143,150,154,155,163,
176,177,178,184,187,188,189,190,194,207,209,210,211,213,226,230,233,235,256,
259,260,261,263,277,279,281,289,291,310,325,345,347,348,360,371,397,459,461,
463,475,491,492,506,508,515,549,556,557,564,566,574,594,710,713,757,780,781,
790,805,864,870,1034,1108,1127,1130,1298],[1,2,3,4,9,10,11,12,13,14,15,16,20,
21,23,26,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,62,63,70,71,72,75,
86,91,92,97,100,108,117,122,126,137,147,148,156,167,170,174,179,180,181,188,
189,190,191,215,216,217,218,221,228,231,233,236,252,258,261,263,278,281,288,
290,311,326,346,356,367,368,370,398,454,456,465,472,481,482,503,507,514,537,
554,557,560,595,715,717,761,771,782,789,804,863,866,1032,1107,1122,1129,
1299],[1,2,3,4,6,7,8,9,11,13,15,16,17,21,23,28,31,32,40,41,50,51,54,57,58,61,
64,65,69,72,73,74,75,83,91,93,100,102,110,115,138,139,145,155,163,173,176,192,
194,201,205,210,213,226,230,234,236,254,256,266,277,279,281,291,294,342,347,
364,397,437,438,449,459,461,506,510,513,549,552,572,586,592,622,710,730,776,
781,792,817,864,891,1043,1106,1108,1124,1300],[1,2,4,10,11,16,20,23,26,32,33,
52,55,63,70,72,73,75,86,91,92,96,102,108,109,141,144,170,189,191,208,221,228,
231,234,235,260,262,263,278,281,290,293,335,346,361,398,434,454,455,456,503,
509,512,537,558,574,585,593,620,715,733,771,772,791,820,863,898,1042,1105,
1107,1123,1301],[1,2,3,4,7,10,11,12,13,14,15,16,17,20,23,32,33,35,37,38,41,52,
55,56,58,59,60,62,63,68,70,72,73,74,75,83,90,92,96,102,109,118,140,141,147,
165,168,169,180,188,189,197,198,199,200,215,217,221,227,228,231,234,235,259,
267,275,277,284,291,292,293,353,354,357,361,403,435,439,464,465,469,470,505,
507,512,543,547,559,576,583,590,592,594,598,599,623,718,732,773,774,794,819,
897,900,913,1045,1086,1302],[1,2,4,10,11,16,20,23,26,32,33,52,55,63,70,72,73,
75,86,90,92,96,102,108,109,141,144,170,189,191,208,221,228,231,234,235,262,
267,278,284,291,293,335,346,361,398,434,454,455,456,503,509,512,537,543,558,
576,585,590,592,594,599,620,715,733,771,772,791,820,898,900,913,1042,1083,
1303],[1,2,3,4,6,7,8,9,11,13,15,16,17,21,23,28,31,32,40,41,50,51,54,57,58,61,
64,65,69,72,73,74,75,82,91,93,100,102,110,115,138,139,145,155,163,173,176,192,
194,201,205,210,213,226,230,234,236,255,266,276,279,281,290,292,294,342,347,
364,397,437,438,449,459,461,506,510,513,539,549,552,573,584,586,593,595,596,
597,622,710,730,776,781,792,817,889,891,914,1043,1085,1304],[1,2,3,4,6,7,8,9,
12,13,16,17,21,23,27,28,38,39,40,41,50,51,53,54,57,60,61,65,68,69,72,73,75,82,
83,93,100,102,114,115,139,143,159,162,163,172,173,186,193,194,200,201,211,212,
226,229,230,234,236,255,256,275,276,290,294,336,337,363,364,401,436,445,446,
462,463,504,508,513,538,539,571,573,583,584,593,595,596,621,728,729,778,779,
793,816,888,889,914,1044,1084,1305],[1,2,4,10,11,16,20,23,26,32,33,52,55,63,
70,72,73,75,90,92,96,102,108,109,141,144,170,189,191,208,221,228,231,234,235,
267,284,293,335,346,361,398,434,454,455,456,503,509,512,530,543,576,590,620,
715,733,771,772,791,820,852,875,900,1042,1087,1140,1146,1306],[1,2,4,10,11,16,
20,23,26,32,33,52,55,63,70,72,73,75,86,92,96,102,108,109,141,144,170,189,191,
208,221,228,231,234,235,262,278,293,335,346,361,398,434,454,455,456,503,509,
512,529,537,558,585,620,715,733,771,772,791,820,853,874,898,1042,1088,1137,
1145,1307],[1,2,3,5,6,7,8,9,12,13,16,17,22,24,27,28,38,39,40,41,50,51,53,54,
57,60,61,65,68,69,72,73,75,85,89,95,99,103,114,115,139,143,159,162,163,172,
173,186,193,194,200,201,211,212,226,229,230,234,236,265,270,272,296,336,337,
363,364,401,436,445,446,462,463,504,508,513,536,541,568,588,621,728,729,778,
779,793,816,858,877,894,1044,1089,1135,1148,1308],[1,2,3,5,6,7,8,9,12,13,16,
17,22,24,27,28,38,39,40,41,50,51,53,54,57,60,61,65,68,69,72,73,75,84,87,94,98,
103,114,115,139,143,159,162,163,172,173,186,193,194,200,201,211,212,226,229,
230,234,236,264,268,271,295,336,337,363,364,401,436,445,446,462,463,504,508,
513,535,540,567,587,621,728,729,778,779,793,816,857,878,893,1044,1090,1134,
1147,1309],[1,2,3,4,9,10,12,13,14,15,16,17,23,26,35,36,42,46,48,62,64,65,68,
69,71,72,74,86,92,93,104,108,117,125,126,134,138,139,146,150,156,167,199,203,
204,209,214,278,283,290,292,301,311,375,387,451,466,497,499,537,546,581,596,
597,658,681,742,906,951,1143,1310],[1,2,3,4,9,10,11,12,14,15,16,17,23,27,31,
32,36,44,46,49,62,63,64,68,71,73,74,91,92,93,104,110,112,124,129,137,140,141,
148,149,154,175,193,196,202,204,216,279,281,282,291,292,301,309,382,386,450,
460,498,500,548,549,582,598,599,659,694,744,908,952,1144,1311],[1,2,3,5,6,7,8,
9,11,13,15,16,17,22,24,28,31,40,41,50,51,54,55,57,58,61,64,65,69,73,75,85,95,
99,103,115,124,143,146,155,163,173,176,178,192,194,201,205,213,226,230,233,
235,265,272,296,342,364,371,397,404,421,449,459,461,489,506,508,515,541,550,
568,588,653,703,730,776,790,805,821,883,894,909,911,1047,1151,1153,1155,
1312],[1,2,3,4,10,11,12,13,14,15,16,17,20,23,32,33,35,37,52,54,55,56,58,60,62,
63,67,68,70,72,75,90,92,96,102,109,133,144,148,153,168,169,174,180,188,189,
197,198,199,206,215,221,227,228,231,233,236,267,284,293,357,361,369,403,406,
423,426,464,465,469,470,485,505,509,514,543,551,576,590,655,708,718,773,788,
806,823,882,900,910,912,1049,1152,1154,1156,1313],[1,2,3,5,6,7,9,10,12,14,15,
16,17,22,24,29,36,38,47,48,49,50,59,60,62,63,64,65,66,67,68,71,74,75,87,95,99,
103,111,125,130,131,132,135,137,142,151,152,153,161,171,183,195,200,204,224,
225,230,231,232,268,273,296,343,395,412,424,429,442,480,494,501,502,511,544,
562,589,657,738,770,825,826,881,895,1036,1142,1149,1150,1314],[1,2,4,5,11,16,
19,20,23,55,73,75,76,77,96,235,237,239,240,291,303,517,522,594,603,605,827,
840,841,917,1061,1161,1315],[1,2,3,6,8,9,10,12,13,14,25,26,28,29,30,34,35,36,
39,40,42,45,111,115,116,117,119,120,123,307,308,607,609,619,1316],[1,2,4,10,
11,16,18,23,26,33,52,63,78,90,107,108,170,191,284,304,346,530,843,875,1064,
1166,1317],[1,2,4,10,11,16,18,23,26,33,52,63,78,86,107,109,170,208,278,304,
335,529,842,874,1062,1165,1318],[1,2,3,5,6,7,8,9,13,16,17,18,19,22,24,28,40,
41,50,51,54,57,61,69,78,79,80,85,94,95,98,99,101,103,105,115,163,173,194,201,
242,243,244,245,246,265,272,286,287,295,296,297,299,302,364,524,525,526,541,
568,588,602,610,844,894,922,925,1163,1167,1169,1319],[1,2,3,5,6,7,8,12,13,14,
16,17,18,19,22,24,30,34,39,40,41,45,50,51,53,54,59,61,69,78,79,80,88,94,95,98,
99,101,103,105,116,173,184,186,201,207,219,242,243,244,245,246,269,274,285,
286,287,295,296,297,299,302,366,524,525,526,542,563,591,602,611,844,896,923,
924,926,1164,1168,1170,1320],[1,3,4,5,6,7,17,21,24,25,50,77,82,83,87,89,94,95,
105,241,247,248,249,254,255,302,520,521,617,833,834,1066,1321],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,
74,108,109,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,134,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,
162,163,164,166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,
186,187,190,191,192,194,195,196,197,198,199,201,202,203,204,205,207,208,209,
211,214,215,216,217,219,220,223,224,226,229,305,306,307,308,310,311,312,313,
314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,335,336,338,339,
340,341,342,343,345,346,348,349,351,352,353,355,356,357,358,359,362,364,365,
366,367,369,370,374,375,376,377,380,383,385,386,387,388,389,390,391,392,393,
395,396,397,400,401,406,407,409,410,414,415,422,423,425,428,430,433,434,435,
439,442,443,445,447,448,449,451,457,460,461,463,466,470,471,472,477,478,481,
482,483,484,485,486,498,500,618,619,620,623,626,627,628,629,630,633,634,635,
636,637,638,639,640,641,647,648,649,652,655,656,657,659,660,661,664,665,666,
668,674,675,679,681,685,688,691,692,693,701,711,713,720,723,724,725,729,730,
735,736,741,745,746,750,753,759,760,761,764,768,769,785,786,795,796,797,798,
933,934,937,938,949,950,955,956,958,963,965,982,985,986,989,991,998,1001,1003,
1005,1006,1018,1173,1175,1177,1184,1185,1191,1192,1322],[1,2,3,6,7,8,9,10,11,
12,13,14,15,16,17,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,
47,48,49,50,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,109,110,
111,112,113,114,115,116,117,119,120,121,122,123,124,125,128,129,130,131,132,
136,137,138,139,143,145,146,150,154,155,157,158,159,160,161,162,164,165,166,
167,168,169,170,175,176,177,178,179,180,181,182,183,187,188,189,190,192,193,
195,196,197,202,203,204,205,206,208,209,210,211,212,213,214,215,216,218,221,
223,225,227,228,305,306,307,308,309,310,312,313,314,315,316,317,318,319,322,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,379,381,382,
383,384,385,386,387,388,389,390,391,394,395,396,398,399,403,404,405,408,411,
416,417,418,419,420,421,431,432,436,437,438,442,450,451,452,453,454,455,457,
458,460,462,464,465,473,474,475,476,488,489,490,491,492,493,497,499,618,619,
621,622,624,625,626,627,628,631,632,633,634,635,636,637,642,643,645,646,650,
651,653,654,657,658,660,661,662,663,670,671,672,673,694,695,696,697,698,699,
700,701,711,712,714,716,717,718,719,733,737,739,747,748,749,751,752,757,758,
762,765,766,767,783,784,799,800,801,802,935,936,937,938,947,948,960,961,962,
966,967,982,983,984,993,994,995,996,1004,1009,1010,1017,1174,1175,1176,1182,
1183,1195,1196,1323],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,
32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,108,109,110,111,112,113,114,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,140,141,142,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,195,196,
197,198,199,200,202,203,204,205,206,208,209,210,212,213,214,215,216,217,218,
220,221,222,223,224,225,226,229,305,306,307,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,337,
338,339,340,341,343,344,346,347,349,350,351,352,353,354,355,356,357,358,359,
360,361,362,363,365,367,368,369,370,372,373,374,375,376,378,379,380,381,382,
384,385,386,387,389,390,391,392,394,395,396,397,399,400,401,402,406,407,409,
410,411,412,413,414,415,416,417,419,420,421,422,423,424,425,426,427,428,429,
430,432,433,434,435,438,439,440,441,443,444,446,447,450,451,452,457,458,459,
460,462,466,467,468,471,472,473,474,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,493,494,495,496,498,499,500,501,618,620,623,624,625,
626,629,630,631,632,633,635,636,637,638,640,641,642,644,645,646,650,651,655,
656,659,660,662,663,664,665,666,667,668,669,670,673,674,675,676,680,681,682,
683,684,686,687,688,689,690,692,694,695,696,697,701,703,704,705,706,707,709,
710,711,712,714,716,720,721,722,723,725,726,727,728,731,734,735,736,737,738,
743,744,747,748,750,751,753,754,758,759,760,761,762,763,764,768,769,785,786,
795,796,797,798,801,802,803,810,811,812,932,935,936,937,940,941,942,943,944,
946,949,950,952,954,959,960,961,964,966,972,973,975,976,977,979,980,981,983,
985,986,987,989,990,992,994,995,996,999,1000,1007,1010,1018,1031,1041,1046,
1173,1178,1180,1190,1193,1196,1204,1208,1210,1324],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,
108,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,142,143,145,146,147,148,
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,
206,207,209,210,211,212,213,214,215,216,217,219,220,222,223,224,225,227,228,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,354,355,356,360,362,363,364,365,366,367,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,392,393,395,396,398,399,400,402,403,404,405,408,409,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,429,430,431,432,436,437,438,
439,440,441,443,444,447,450,451,452,456,457,458,460,466,467,468,469,470,472,
473,474,475,476,477,478,479,480,481,482,484,485,486,487,488,489,490,491,492,
493,494,495,496,497,498,499,501,619,621,622,624,625,626,627,628,629,630,631,
634,636,638,639,640,642,643,644,647,648,649,652,653,654,658,661,662,663,664,
665,667,668,669,670,671,672,673,675,676,677,678,679,680,681,682,686,687,688,
689,690,692,694,696,697,701,702,704,705,707,708,709,711,712,714,715,716,720,
721,722,723,725,726,727,731,732,734,735,737,738,739,740,741,742,745,751,752,
753,754,757,758,760,761,762,763,765,766,767,783,784,796,797,799,800,801,802,
803,810,811,812,932,933,934,938,939,942,943,944,945,946,947,948,951,953,955,
956,957,963,968,969,970,971,974,978,979,980,981,983,984,986,987,989,990,992,
994,997,998,1002,1003,1006,1008,1017,1030,1041,1046,1174,1179,1181,1189,1191,
1194,1204,1209,1211,1325],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,
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,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,127,128,129,130,131,132,133,
134,136,137,138,139,141,143,144,145,146,147,148,149,150,153,154,155,156,157,
158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,175,176,177,178,
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,
219,220,223,225,226,227,228,229,230,231,232,233,234,235,236,306,307,308,309,
310,312,313,314,315,316,317,318,320,321,322,324,325,326,329,330,332,333,334,
336,337,338,339,340,341,342,343,345,347,348,349,350,351,352,353,358,359,360,
362,363,364,365,366,367,369,370,371,372,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,391,392,393,395,396,397,398,399,401,403,404,405,408,410,
411,414,416,417,418,419,420,421,422,424,425,427,428,431,432,433,434,435,436,
437,438,443,444,445,446,448,449,450,459,460,461,462,463,466,468,471,473,474,
475,476,477,478,481,483,484,485,486,488,489,490,491,492,493,496,497,499,500,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,619,621,622,624,
626,627,628,630,631,633,634,638,639,641,642,643,646,648,649,652,653,654,658,
661,662,663,665,666,669,670,671,672,673,674,683,684,685,689,690,691,693,694,
695,701,703,705,706,709,710,713,720,722,724,728,729,730,736,737,739,743,746,
747,750,751,752,755,756,757,758,759,760,762,765,766,767,770,776,777,778,779,
780,781,783,784,787,788,789,790,791,792,793,794,795,798,799,800,801,802,805,
807,809,813,814,815,816,817,821,822,934,938,940,941,944,947,948,958,964,965,
972,973,975,983,984,985,988,991,996,999,1001,1005,1011,1012,1014,1015,1017,
1019,1020,1022,1023,1027,1028,1033,1034,1037,1038,1043,1044,1047,1048,1051,
1174,1178,1187,1192,1200,1202,1203,1212,1213,1217,1218,1326],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,108,109,110,111,112,113,117,118,119,120,121,122,123,124,125,126,127,
130,131,132,133,134,136,137,139,140,141,143,144,145,146,147,148,149,150,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,174,175,
176,177,178,179,180,181,185,186,187,188,189,190,191,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,221,223,
224,226,227,228,229,230,231,232,233,234,235,236,305,306,307,309,310,311,312,
313,314,315,316,317,320,321,322,325,326,327,328,329,330,331,332,333,334,335,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,367,368,369,
370,371,372,374,375,376,377,378,379,380,386,387,388,389,390,391,394,395,396,
397,398,400,401,403,406,407,408,409,410,414,415,416,417,418,419,422,423,424,
425,426,428,430,431,433,434,435,436,437,439,450,451,452,453,454,455,456,464,
465,466,467,468,469,470,471,472,473,474,475,477,478,481,482,483,484,485,486,
487,488,489,490,491,492,497,498,500,502,503,504,505,506,507,508,509,510,511,
512,513,514,515,516,618,620,623,629,630,631,632,633,634,635,636,637,640,641,
643,650,651,652,655,656,659,660,664,665,666,667,668,670,671,672,674,675,677,
678,679,680,681,682,698,699,700,701,702,707,708,709,715,716,717,718,719,731,
732,733,735,736,739,740,741,749,750,752,753,755,756,757,759,760,761,762,764,
768,769,770,771,772,773,774,775,782,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,804,806,809,813,814,815,819,820,823,824,936,937,939,
945,946,949,950,962,967,968,969,970,971,984,985,986,988,993,1002,1003,1004,
1009,1011,1012,1013,1016,1018,1019,1020,1021,1024,1025,1026,1032,1035,1039,
1040,1042,1045,1049,1050,1051,1173,1181,1186,1195,1198,1201,1203,1214,1215,
1216,1219,1327],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,
33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,110,111,112,113,114,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
139,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
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,
197,198,199,200,202,203,204,205,206,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,
306,307,309,310,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
328,329,330,331,332,333,334,337,340,343,344,347,348,349,350,351,352,353,354,
358,359,360,362,363,365,367,369,370,371,372,373,374,375,376,378,379,380,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,397,398,399,400,401,402,
403,408,410,412,413,414,416,417,418,419,420,422,423,424,425,426,427,428,429,
431,433,434,435,436,437,440,442,443,444,446,447,449,450,451,452,455,457,458,
460,462,463,465,467,469,470,471,473,474,475,477,478,479,480,481,482,483,484,
485,486,487,488,489,490,491,492,494,495,496,497,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,516,625,630,631,633,634,638,641,643,644,
645,647,648,650,657,660,661,663,664,665,666,667,669,670,671,672,674,676,678,
679,683,686,687,688,692,693,694,695,696,697,700,701,704,705,706,707,708,712,
725,726,727,728,732,736,738,739,741,742,744,745,746,748,749,750,752,754,755,
756,757,759,760,762,763,770,787,788,789,790,791,792,793,794,795,798,799,800,
803,809,813,814,815,825,826,941,942,943,945,955,958,961,962,963,966,974,976,
977,978,982,984,985,987,988,995,997,998,1000,1011,1012,1019,1020,1036,1051,
1179,1180,1183,1184,1188,1203,1207,1328],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
17,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,111,112,113,
114,115,116,117,118,119,120,121,122,123,125,127,128,129,130,131,132,133,134,
135,136,137,141,142,144,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,179,
180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,211,212,214,216,217,218,219,220,221,222,
223,224,225,226,229,306,307,308,310,312,313,314,315,316,317,318,319,320,321,
322,323,324,326,329,331,332,333,334,336,337,338,339,340,341,342,343,344,345,
348,349,351,352,353,354,358,359,362,363,364,365,366,367,369,370,373,375,376,
377,378,380,382,383,384,385,386,387,388,391,392,393,394,395,397,399,400,401,
402,410,412,413,414,417,420,422,424,425,426,427,428,429,433,434,435,440,444,
445,446,447,448,449,450,451,452,453,454,456,457,458,461,462,463,464,467,468,
469,471,477,478,479,480,481,483,484,485,486,487,488,494,495,496,500,501,619,
625,626,627,628,630,633,634,638,639,641,644,645,648,649,650,652,661,663,665,
666,667,669,674,676,677,678,680,682,683,685,686,687,691,693,695,696,697,698,
699,701,704,706,707,713,714,721,722,724,725,726,728,729,730,736,738,740,742,
744,746,748,750,754,759,760,763,795,798,803,804,806,808,818,819,820,934,938,
941,943,957,958,965,966,967,968,976,977,985,987,991,992,995,997,1000,1001,
1002,1005,1008,1025,1026,1029,1176,1180,1192,1194,1198,1199,1206,1329],[1,2,3,
6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,
70,71,72,74,109,110,111,112,113,114,117,118,119,120,121,122,123,124,125,126,
128,129,130,131,132,133,134,135,136,137,139,142,143,145,146,148,150,151,152,
153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,
173,175,176,177,178,179,180,181,182,183,184,185,187,188,189,190,193,194,195,
196,197,198,199,200,202,203,204,205,206,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,223,224,225,227,228,305,306,307,309,310,312,313,314,
315,316,317,318,319,320,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,338,343,344,347,348,349,350,353,354,355,356,357,358,359,360,361,362,363,
365,368,371,372,373,374,375,378,379,381,382,384,386,387,388,389,390,391,392,
393,394,395,398,399,400,402,403,408,412,413,416,417,418,419,422,423,424,426,
427,429,431,436,437,440,443,444,445,446,447,448,453,454,455,457,458,459,460,
461,464,465,466,467,468,469,470,473,474,475,479,480,482,487,488,489,490,491,
492,494,495,496,497,501,618,624,625,631,632,633,634,635,636,637,638,643,644,
645,646,647,648,650,651,660,664,667,669,670,671,672,676,678,679,683,684,685,
686,687,688,689,690,691,692,698,699,700,701,704,705,708,712,717,718,719,721,
723,727,731,732,733,738,739,742,743,744,745,749,752,754,757,762,763,799,800,
803,805,807,808,816,817,818,935,936,937,942,945,959,962,963,964,965,967,974,
978,984,987,990,993,997,998,999,1000,1004,1007,1009,1027,1028,1029,1177,1179,
1193,1195,1199,1200,1205,1330],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,
28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,109,110,111,112,113,114,117,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,134,136,137,138,145,
146,147,148,150,151,152,154,155,157,158,159,160,161,162,164,165,166,167,168,
169,170,175,176,177,178,179,180,181,182,183,187,188,189,190,191,192,193,194,
195,196,197,198,199,201,202,203,204,205,206,207,208,209,210,212,213,214,215,
216,218,219,221,223,225,230,231,232,305,306,307,309,310,312,313,314,315,316,
317,318,319,322,325,326,327,328,329,330,331,333,334,335,337,338,339,340,341,
343,344,347,349,350,355,356,357,358,359,360,361,368,372,374,375,377,378,379,
380,381,382,384,385,386,387,389,390,391,393,394,395,396,399,411,416,417,419,
420,421,429,430,432,438,445,447,448,450,451,452,456,457,458,460,461,462,467,
469,470,472,473,474,476,478,479,488,489,490,491,493,499,502,503,504,505,506,
511,618,624,625,626,631,632,633,635,636,637,642,645,646,647,648,650,651,652,
660,662,663,670,673,675,676,677,678,679,682,685,686,691,692,694,695,696,697,
701,711,712,714,716,737,740,741,742,745,747,748,751,755,756,758,762,770,772,
773,775,779,781,782,801,802,810,821,822,935,936,937,960,961,963,965,966,968,
971,978,979,983,988,994,995,996,1006,1008,1010,1013,1016,1022,1023,1030,1177,
1187,1188,1189,1196,1201,1206,1331],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,
27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,108,111,112,113,115,
116,117,118,119,120,121,122,123,125,126,127,128,129,130,131,132,133,134,136,
137,140,145,146,147,148,149,151,152,154,155,156,157,158,159,160,161,162,163,
164,166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,
190,191,192,193,194,195,196,197,198,199,201,202,203,204,205,206,207,209,211,
212,213,214,215,216,217,218,219,220,221,223,224,230,231,232,306,307,308,310,
311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,336,
338,339,340,341,342,343,345,346,348,349,351,352,353,355,356,362,364,365,366,
367,370,374,375,376,377,378,380,381,382,383,384,385,386,387,388,389,392,393,
394,395,396,400,409,414,415,422,423,425,429,430,432,439,443,444,446,447,451,
453,454,457,458,459,460,462,464,466,470,472,474,476,477,478,479,481,482,484,
485,486,498,502,503,504,505,506,511,619,626,627,628,629,630,634,636,638,639,
640,645,646,647,648,649,650,652,661,664,665,668,673,675,676,679,681,683,684,
687,688,690,692,695,697,698,699,701,711,720,723,725,735,741,743,744,745,747,
748,753,755,756,760,761,770,771,774,776,777,778,780,796,797,812,823,824,933,
934,938,955,956,963,964,966,967,975,977,981,986,988,989,998,1003,1006,1007,
1010,1014,1015,1021,1024,1031,1176,1186,1188,1190,1191,1202,1205,1332],[1,2,3,
6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,74,108,110,111,112,113,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,136,137,139,140,143,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
174,175,176,177,178,179,180,181,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,221,223,224,227,228,306,307,309,310,311,312,313,314,315,
316,317,320,321,322,325,326,327,328,329,330,331,332,333,334,346,347,348,349,
350,351,352,353,354,355,356,360,367,370,371,372,374,375,376,377,378,379,380,
381,382,383,384,385,386,387,388,389,390,391,393,394,395,396,398,400,403,408,
409,414,415,416,417,418,419,422,423,424,425,426,429,430,431,432,436,437,439,
442,444,445,446,448,449,450,451,452,455,456,458,459,460,461,462,463,465,466,
467,468,469,470,472,473,474,475,476,477,478,479,481,482,484,485,486,487,488,
489,490,491,492,497,498,629,630,631,634,636,640,643,645,646,648,650,652,657,
660,661,664,665,667,668,670,671,672,673,675,676,677,678,679,680,681,682,683,
684,685,687,690,691,693,694,695,697,700,701,702,707,708,709,715,716,731,732,
735,739,740,741,743,744,745,746,747,748,749,752,753,757,760,761,762,796,797,
799,800,805,807,812,816,817,939,945,946,956,958,961,962,964,965,966,968,969,
970,971,975,977,981,982,984,986,1002,1003,1007,1010,1027,1028,1031,1181,1183,
1185,1190,1197,1200,1206,1333],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,
28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,
56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,110,111,112,113,114,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,136,137,
138,141,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,
161,162,163,164,166,167,168,169,170,172,174,175,176,177,178,179,180,181,182,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,
225,226,229,306,307,309,310,312,313,314,315,316,317,318,320,321,322,325,326,
329,330,333,334,337,338,339,340,341,347,349,350,351,352,353,358,359,360,362,
363,367,369,370,372,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,393,394,395,396,397,399,401,410,411,414,416,417,419,420,421,
422,424,425,427,428,429,430,432,433,434,435,438,442,443,444,446,447,449,450,
452,453,454,455,456,457,459,460,462,463,464,465,466,467,468,469,470,471,472,
473,474,476,477,478,479,481,483,484,485,486,488,489,490,491,493,496,499,500,
624,626,630,631,633,641,642,646,647,648,650,652,657,660,661,662,663,665,666,
669,670,673,674,675,676,677,678,679,682,683,684,686,688,689,690,692,693,694,
695,696,698,699,700,701,703,705,706,709,710,720,722,728,736,737,740,741,742,
743,745,746,747,749,750,751,758,759,760,762,795,798,801,802,804,806,810,819,
820,940,941,944,955,958,960,962,963,964,967,968,971,972,973,975,978,979,982,
983,985,996,999,1006,1008,1025,1026,1030,1178,1182,1184,1189,1197,1198,1205,
1334],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,71,74,75,109,111,112,113,114,115,116,117,118,119,120,121,122,
123,125,127,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,
199,200,201,202,203,204,205,206,207,208,209,211,213,214,215,216,217,219,220,
222,223,224,225,230,231,232,305,306,307,308,310,312,313,314,315,316,317,318,
319,320,321,322,323,324,326,327,328,329,330,331,332,333,334,335,336,338,339,
340,341,342,343,344,345,348,349,351,354,355,356,357,358,359,362,363,364,365,
366,367,373,375,376,377,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,395,399,400,402,412,413,424,426,427,429,440,442,443,444,446,447,450,452,
456,458,459,466,467,468,469,479,480,487,494,495,496,501,502,503,504,505,506,
511,618,619,624,625,626,627,628,630,633,634,635,636,637,638,639,644,645,646,
648,649,652,657,660,661,667,669,676,677,678,680,682,683,684,686,687,689,690,
701,714,721,722,723,726,727,731,738,740,742,743,744,754,755,756,763,770,772,
773,775,776,777,778,780,782,803,825,826,934,935,937,938,957,959,964,968,982,
987,988,990,992,997,999,1000,1002,1007,1008,1013,1014,1015,1016,1036,1175,
1193,1194,1197,1201,1202,1207,1335],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,
27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,108,110,111,112,
113,114,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,140,142,145,146,147,148,149,150,151,152,153,154,155,156,
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,
195,196,197,198,199,200,202,203,204,205,206,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,230,231,232,306,307,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
333,334,337,338,339,340,341,343,344,346,347,349,350,351,352,353,354,355,356,
360,362,363,365,367,370,372,373,374,375,376,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,399,400,402,409,411,412,413,414,
415,416,417,419,420,421,422,423,424,425,426,427,429,430,432,438,439,440,441,
442,443,444,445,447,448,449,450,451,452,453,454,455,457,458,460,461,463,464,
465,466,467,468,472,473,474,476,477,478,479,480,481,482,484,485,486,487,488,
489,490,491,493,494,495,496,498,499,501,502,503,504,505,506,511,624,625,626,
629,630,631,636,638,640,642,644,648,650,657,660,661,662,663,664,665,667,668,
669,670,673,675,676,680,681,682,685,686,687,688,689,690,691,692,693,694,696,
697,698,699,700,701,704,705,707,709,711,712,714,716,720,721,722,723,725,726,
727,731,734,735,737,738,745,746,747,749,751,753,754,755,756,758,760,761,762,
763,770,771,774,779,781,796,797,801,802,803,808,810,811,812,818,821,822,823,
824,825,826,932,942,943,944,946,956,958,960,962,965,967,979,980,981,982,983,
986,987,988,989,990,992,994,1021,1022,1023,1024,1029,1036,1041,1046,1182,1185,
1186,1187,1199,1204,1207,1336],[1,2,3,4,5,6,9,10,11,12,14,24,27,29,31,33,36,
37,43,44,77,82,84,86,87,95,109,111,112,113,121,122,271,273,280,305,306,520,
529,532,533,544,545,618,861,1054,1075,1081,1337],[1,2,3,4,6,9,10,11,12,14,23,
27,29,31,33,36,37,43,44,76,82,86,90,91,92,109,111,112,113,121,122,279,282,284,
305,306,518,529,531,533,543,548,618,859,1053,1075,1079,1338],[1,2,3,4,5,6,8,9,
10,12,13,14,23,24,26,28,29,30,34,35,36,39,40,42,45,77,82,84,85,86,87,88,93,95,
111,115,116,117,119,120,123,272,273,274,276,278,283,285,307,308,519,520,532,
533,534,535,539,541,542,544,546,619,860,862,1054,1056,1076,1080,1082,1339],[1,
2,4,10,11,16,23,26,33,52,63,73,76,86,90,91,92,108,109,141,144,170,191,208,278,
284,291,335,346,434,518,529,530,531,537,543,551,599,620,874,875,1052,1053,
1077,1083,1087,1088,1340],[1,2,3,4,5,6,7,8,9,12,13,16,23,24,27,28,38,40,53,65,
72,77,82,83,84,85,87,88,89,93,94,95,114,115,139,143,159,211,212,271,272,275,
276,290,336,337,436,519,520,521,534,535,536,538,539,540,541,550,596,621,877,
878,1055,1056,1078,1084,1089,1090,1341],[1,2,4,10,11,16,20,23,26,32,33,52,55,
63,70,72,76,86,90,92,96,102,108,170,189,191,228,237,240,262,267,278,284,293,
346,398,456,518,522,530,537,558,576,585,715,836,852,875,898,1052,1140,1220,
1229,1342],[1,2,4,10,11,16,20,23,26,32,33,52,55,63,70,72,76,86,90,91,92,96,
102,109,170,189,208,221,228,237,240,260,262,263,267,278,281,284,293,335,361,
398,454,455,518,522,529,531,543,558,574,576,590,733,836,845,853,854,874,880,
900,1053,1137,1139,1224,1225,1226,1343],[1,2,3,4,5,6,7,9,10,12,13,14,15,17,19,
21,22,23,24,26,27,29,35,36,38,46,47,48,49,50,59,62,64,66,67,68,74,77,82,84,86,
87,95,99,100,101,103,111,156,158,160,161,167,183,185,195,202,203,204,223,224,
238,239,241,253,255,257,258,268,271,273,278,296,327,338,343,400,443,447,466,
520,523,532,533,544,560,562,569,589,723,839,846,847,848,855,876,879,895,1054,
1132,1136,1221,1227,1228,1344],[1,2,4,10,11,16,20,23,26,33,52,63,70,75,76,86,
90,92,96,102,108,170,191,221,231,237,262,267,278,293,346,454,503,517,518,530,
537,558,585,771,836,852,898,1052,1220,1345],[1,2,3,4,9,10,11,12,13,14,15,16,
20,21,23,26,33,35,36,37,42,43,44,46,48,52,53,54,57,58,62,63,71,76,86,90,92,93,
96,97,100,102,104,108,117,122,126,137,147,148,156,167,170,174,179,180,181,190,
191,215,216,217,237,240,252,258,262,267,278,283,288,289,293,294,298,300,301,
311,326,346,356,367,370,472,481,482,518,522,530,537,546,554,555,558,560,575,
581,585,601,761,828,835,836,852,866,872,887,898,899,902,906,1052,1057,1158,
1220,1230,1346],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,
27,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,
66,67,68,69,71,77,83,84,85,89,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
113,114,118,120,129,131,134,135,151,152,153,160,162,164,165,166,169,171,172,
173,177,181,182,183,184,185,190,193,195,199,200,206,220,238,239,241,253,254,
256,257,259,264,265,270,271,275,277,280,286,287,288,289,293,294,295,296,297,
298,299,300,301,302,317,319,323,324,344,354,363,365,373,479,480,487,494,495,
496,519,521,523,536,538,540,545,547,559,561,565,566,567,569,570,571,572,577,
579,580,583,587,601,602,763,829,830,832,833,837,838,858,867,868,869,871,885,
886,888,892,893,897,903,904,905,907,1055,1058,1060,1159,1160,1222,1231,1232,
1347],[1,2,3,6,8,9,10,11,12,13,14,15,16,18,26,27,28,29,30,31,33,35,36,37,39,
40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,78,79,80,109,
111,112,113,117,119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,
160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,
215,216,242,243,244,305,306,307,310,312,313,314,315,316,317,322,326,327,328,
329,334,335,355,356,357,358,359,386,389,390,391,395,524,618,633,635,636,637,
660,701,842,937,1062,1063,1065,1233,1234,1235,1348],[1,2,3,9,10,11,12,13,14,
15,16,18,26,31,33,35,36,37,42,43,44,46,48,52,53,56,57,58,60,61,62,63,65,71,75,
78,79,80,109,117,121,122,127,132,137,167,168,169,170,179,180,181,187,190,191,
196,197,208,215,216,230,231,232,243,245,305,322,326,335,355,356,357,358,359,
380,390,391,456,502,503,505,526,637,677,755,772,782,842,1016,1062,1063,1065,
1234,1236,1349],[1,2,3,9,10,11,12,13,14,15,16,17,18,26,31,33,35,36,37,42,43,
44,46,48,52,53,56,57,58,60,62,63,65,68,69,71,75,78,79,80,109,117,121,122,132,
134,137,167,168,169,170,179,180,181,187,190,196,197,199,204,208,215,216,230,
231,232,243,246,305,322,326,335,355,356,357,358,359,375,390,391,469,502,503,
505,525,637,678,755,773,775,842,1013,1062,1063,1065,1234,1237,1350],[1,2,4,11,
18,20,23,78,81,91,96,606,614,1351],[1,3,5,7,18,22,24,79,81,89,99,606,612,
1352],[1,2,4,9,11,16,18,20,23,31,55,65,76,78,91,96,178,237,240,245,263,279,
517,522,564,614,840,929,1245,1353],[1,2,4,10,11,16,18,20,23,32,33,52,55,70,76,
78,90,91,96,189,237,240,245,260,263,267,281,284,517,522,574,576,613,614,840,
928,929,1246,1354],[1,2,3,4,11,13,16,18,20,54,55,75,76,78,79,80,91,233,237,
243,263,517,614,841,1245,1355],[1,2,3,4,5,6,8,9,13,18,19,22,23,24,28,40,77,78,
79,80,82,84,85,87,88,93,95,98,101,107,115,239,242,243,244,272,276,287,304,519,
520,524,534,535,539,541,610,615,831,922,930,1056,1074,1163,1356],[1,2,4,11,16,
18,20,55,73,75,76,78,91,235,237,245,263,517,614,827,1245,1357],[1,2,3,4,6,7,8,
9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,74,83,86,90,91,
92,108,109,111,112,113,117,118,119,120,121,122,123,125,126,127,130,131,132,
133,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,196,197,198,
202,208,215,216,217,223,224,226,229,275,277,278,279,282,284,291,292,305,306,
307,310,311,312,313,314,315,316,317,320,321,322,326,327,328,329,334,335,346,
351,352,353,355,356,357,358,359,367,369,370,374,376,380,386,389,390,391,395,
396,397,400,401,406,407,409,410,414,415,422,423,425,428,430,433,434,435,439,
471,472,477,478,481,482,483,484,485,486,498,500,531,537,543,547,548,598,599,
618,620,623,629,630,633,635,636,637,640,641,655,656,659,660,664,665,666,668,
674,675,701,735,736,750,753,759,760,761,764,768,769,785,786,795,796,797,798,
859,864,865,937,949,950,985,986,1018,1079,1083,1086,1111,1112,1144,1173,
1358],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,67,
70,71,72,74,82,83,86,91,93,110,111,112,113,114,115,116,117,119,120,121,122,
123,124,125,128,130,131,132,136,137,138,139,143,145,146,150,154,155,157,158,
159,160,161,162,164,166,167,168,169,170,175,176,177,178,179,180,181,182,187,
188,189,190,192,203,205,209,210,211,212,213,214,223,225,227,228,275,276,278,
279,281,283,290,292,306,307,308,309,310,312,313,314,315,316,317,318,322,325,
326,330,332,333,336,337,338,339,340,341,342,347,348,349,350,360,371,372,378,
379,381,383,385,387,388,395,396,398,399,403,404,405,408,411,416,417,418,419,
420,421,431,432,436,437,438,473,474,475,476,488,489,490,491,492,493,497,499,
533,538,539,546,549,596,597,619,621,622,624,626,627,628,631,634,642,643,653,
654,658,661,662,663,670,671,672,673,701,737,739,751,752,757,758,762,765,766,
767,783,784,799,800,801,802,860,863,865,938,947,948,983,984,1017,1080,1084,
1085,1109,1110,1143,1174,1359],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,24,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,
58,60,62,63,64,65,66,67,70,71,72,74,84,87,94,110,111,112,113,114,115,116,117,
119,120,121,122,123,124,125,128,130,131,132,136,137,138,139,143,145,146,150,
154,155,157,158,159,160,161,162,164,166,167,168,169,170,175,176,177,178,179,
180,181,182,187,188,189,190,192,203,205,209,210,211,212,213,214,223,225,227,
228,271,273,280,306,307,308,309,310,312,313,314,315,316,317,318,322,325,326,
330,332,333,336,337,338,339,340,341,342,347,348,349,350,360,371,372,378,379,
381,383,385,387,388,395,396,398,399,403,404,405,408,411,416,417,418,419,420,
421,431,432,436,437,438,473,474,475,476,488,489,490,491,492,493,497,499,532,
535,540,619,621,622,624,626,627,628,631,634,642,643,653,654,658,661,662,663,
670,671,672,673,701,737,739,751,752,757,758,762,765,766,767,783,784,799,800,
801,802,861,876,878,938,947,948,983,984,1017,1076,1090,1102,1174,1253,1360],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,33,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,
74,82,86,92,108,109,111,112,113,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,162,
163,164,166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,196,
197,198,202,208,215,216,217,223,224,226,229,276,278,283,305,306,307,310,311,
312,313,314,315,316,317,320,321,322,326,327,328,329,334,335,346,351,352,353,
355,356,357,358,359,367,369,370,374,376,380,386,389,390,391,395,396,397,400,
401,406,407,409,410,414,415,422,423,425,428,430,433,434,435,439,471,472,477,
478,481,482,483,484,485,486,498,500,529,533,537,618,620,623,629,630,633,635,
636,637,640,641,655,656,659,660,664,665,666,668,674,675,701,735,736,750,753,
759,760,761,764,768,769,785,786,795,796,797,798,860,874,879,937,949,950,985,
986,1018,1075,1088,1101,1173,1254,1361],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,
24,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,
58,60,62,63,64,65,66,71,84,87,95,109,111,112,113,115,116,117,119,120,121,122,
123,125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,
176,177,179,180,181,187,190,192,196,197,202,203,205,208,209,211,214,215,216,
271,273,280,305,306,307,308,310,312,313,314,315,316,317,322,326,327,328,329,
332,333,334,335,336,338,339,340,341,342,348,349,355,356,357,358,359,383,385,
386,387,388,389,390,391,395,442,532,535,544,545,618,619,626,627,628,633,634,
635,636,637,657,660,661,701,861,876,878,937,938,982,1076,1081,1175,1253,
1362],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,33,34,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,82,86,93,
109,111,112,113,115,116,117,119,120,121,122,123,125,130,131,132,137,154,155,
157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,192,
196,197,202,203,205,208,209,211,214,215,216,276,278,283,305,306,307,308,310,
312,313,314,315,316,317,322,326,327,328,329,332,333,334,335,336,338,339,340,
341,342,348,349,355,356,357,358,359,383,385,386,387,388,389,390,391,395,442,
529,533,539,546,618,619,626,627,628,633,634,635,636,637,657,660,661,701,860,
874,879,937,938,982,1075,1080,1175,1254,1363],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,23,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,
53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,74,90,91,92,108,109,111,112,113,
117,118,119,120,121,122,123,125,126,127,130,131,132,133,137,140,141,144,147,
148,149,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,174,
176,177,179,180,181,185,186,187,190,191,196,197,198,202,208,215,216,217,223,
224,226,229,279,282,284,305,306,307,310,311,312,313,314,315,316,317,320,321,
322,326,327,328,329,334,335,346,351,352,353,355,356,357,358,359,367,369,370,
374,376,380,386,389,390,391,395,396,397,400,401,406,407,409,410,414,415,422,
423,425,428,430,433,434,435,439,471,472,477,478,481,482,483,484,485,486,498,
500,530,531,543,548,551,618,620,623,629,630,633,635,636,637,640,641,655,656,
659,660,664,665,666,668,674,675,701,735,736,750,753,759,760,761,764,768,769,
785,786,795,796,797,798,859,875,882,910,937,949,950,985,986,1018,1077,1079,
1087,1152,1173,1259,1364],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,24,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,55,56,57,58,
60,62,63,64,65,66,67,70,71,72,74,85,87,88,89,95,110,111,112,113,114,115,116,
117,119,120,121,122,123,124,125,128,130,131,132,136,137,138,139,143,145,146,
150,154,155,157,158,159,160,161,162,164,166,167,168,169,170,175,176,177,178,
179,180,181,182,187,188,189,190,192,203,205,209,210,211,212,213,214,223,225,
227,228,272,273,274,285,306,307,308,309,310,312,313,314,315,316,317,318,322,
325,326,330,332,333,336,337,338,339,340,341,342,347,348,349,350,360,371,372,
378,379,381,383,385,387,388,395,396,398,399,403,404,405,408,411,416,417,418,
419,420,421,431,432,436,437,438,473,474,475,476,488,489,490,491,492,493,497,
499,534,536,541,542,544,550,619,621,622,624,626,627,628,631,634,642,643,653,
654,658,661,662,663,670,671,672,673,701,737,739,751,752,757,758,762,765,766,
767,783,784,799,800,801,802,862,877,883,909,938,947,948,983,984,1017,1078,
1082,1089,1151,1174,1258,1365],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,24,26,27,
28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,
63,64,65,66,71,84,85,87,88,95,109,111,112,113,115,116,117,119,120,121,122,123,
125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,
177,179,180,181,187,190,192,196,197,202,203,205,208,209,211,214,215,216,271,
272,273,274,280,285,305,306,307,308,310,312,313,314,315,316,317,322,326,327,
328,329,332,333,334,335,336,338,339,340,341,342,348,349,355,356,357,358,359,
383,385,386,387,388,389,390,391,395,442,532,534,541,542,544,545,618,619,626,
627,628,633,634,635,636,637,657,660,661,701,861,862,881,937,938,982,1081,1082,
1149,1175,1366],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,17,24,26,27,28,29,30,31,
33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,
68,70,71,84,87,105,111,112,113,115,116,117,119,120,121,122,123,125,129,130,
131,132,136,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,
179,180,181,187,190,192,193,203,204,205,209,211,212,214,218,221,271,273,280,
306,307,308,310,312,313,314,315,316,317,322,326,332,333,336,338,339,340,341,
342,348,349,378,382,383,385,387,388,394,395,451,453,454,458,462,464,532,535,
580,619,626,627,628,634,645,650,661,695,697,698,699,701,861,876,878,938,966,
967,1076,1115,1176,1253,1367],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,23,26,27,
28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,
64,65,66,68,69,71,82,86,104,109,111,112,113,117,119,120,121,122,123,125,126,
130,131,132,134,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,
177,179,180,181,187,190,194,196,197,198,199,202,204,208,215,216,219,276,278,
283,305,306,307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,
356,357,358,359,374,375,386,389,390,391,393,395,445,447,448,460,461,470,529,
533,581,618,633,635,636,637,647,648,660,679,685,691,692,701,860,874,879,937,
963,965,1075,1117,1177,1254,1368],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,21,
23,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,56,57,58,59,60,62,63,64,65,66,67,68,69,71,74,82,86,100,109,111,112,113,114,
117,118,119,120,121,122,123,125,128,129,130,131,132,133,134,135,137,142,151,
152,153,154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,
172,173,175,176,177,179,180,181,182,183,184,185,187,190,193,195,196,197,199,
200,202,203,204,206,208,213,215,216,220,222,223,224,225,255,258,276,278,283,
305,306,307,310,312,313,314,315,316,317,318,319,320,322,323,324,326,327,328,
329,330,331,334,335,338,343,344,354,355,356,357,358,359,362,363,365,373,375,
381,382,384,386,389,390,391,392,395,399,400,402,412,413,424,426,427,429,440,
443,444,446,447,459,466,467,468,479,480,487,494,495,496,501,529,533,560,573,
618,624,625,633,635,636,637,638,644,645,646,660,667,669,676,683,684,686,689,
690,701,721,723,727,731,738,743,744,754,763,803,846,847,860,874,879,935,937,
959,964,987,990,999,1000,1007,1075,1091,1132,1193,1251,1254,1369],[1,2,3,5,6,
7,8,9,10,11,12,13,14,15,16,17,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,71,74,84,87,99,111,112,113,114,115,116,117,118,119,120,121,122,123,125,
127,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,199,200,201,
203,204,205,206,207,209,211,214,216,217,219,220,222,223,224,225,257,264,268,
271,273,280,306,307,308,310,312,313,314,315,316,317,318,319,320,321,322,323,
324,326,329,331,332,333,336,338,339,340,341,342,343,344,345,348,349,351,354,
362,363,364,365,366,367,373,375,376,377,380,382,383,384,385,387,388,392,393,
395,399,400,402,412,413,424,426,427,429,440,444,450,452,456,458,467,468,469,
479,480,487,494,495,496,501,532,535,561,562,619,625,626,627,628,630,634,638,
639,644,648,649,652,661,667,669,676,677,678,680,682,687,701,714,721,722,726,
738,740,742,754,763,803,849,855,857,861,876,878,934,938,957,968,987,992,997,
1002,1008,1076,1097,1133,1194,1250,1253,1370],[1,2,3,5,6,7,8,9,10,11,12,13,14,
15,16,17,19,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,74,84,87,
101,108,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,130,131,
132,133,134,137,140,147,148,149,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,190,
191,192,194,195,196,197,198,199,201,202,203,204,205,207,209,211,214,215,216,
217,219,220,223,224,253,257,264,268,271,273,280,306,307,308,310,311,312,313,
314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,336,338,339,340,
341,342,343,345,346,348,349,351,352,353,355,356,362,364,365,366,367,370,374,
375,376,377,380,383,385,386,387,388,389,392,393,395,396,400,409,414,415,422,
423,425,430,439,443,447,451,457,460,466,470,472,477,478,481,482,484,485,486,
498,532,535,569,577,619,626,627,628,629,630,634,636,638,639,640,647,648,649,
652,661,664,665,668,675,679,681,688,692,701,711,720,723,725,735,741,745,753,
760,761,796,797,848,849,855,857,861,876,878,933,934,938,955,956,963,986,989,
998,1003,1006,1076,1093,1136,1191,1249,1250,1253,1371],[1,2,3,5,6,7,8,9,10,11,
12,13,14,15,16,17,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,
84,87,98,111,112,113,115,116,117,118,119,120,121,122,123,125,127,130,131,132,
133,134,137,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,190,
191,192,194,195,196,197,198,199,201,202,203,204,205,207,208,209,211,214,216,
217,219,220,226,229,257,264,268,271,273,280,306,307,308,310,312,313,314,315,
316,317,320,321,322,324,326,329,332,333,334,336,338,339,340,341,342,343,345,
348,349,351,352,353,358,359,362,364,365,366,367,369,370,375,376,377,380,383,
385,386,387,388,391,392,393,395,397,401,410,414,422,425,428,433,434,435,445,
448,449,461,463,471,477,478,481,483,484,485,486,500,532,535,567,570,619,626,
627,628,630,633,634,638,639,641,648,649,652,661,665,666,674,685,691,693,701,
713,724,729,730,736,746,750,759,760,795,798,849,855,857,861,876,878,934,938,
958,965,985,991,1001,1005,1076,1092,1134,1192,1250,1253,1372],[1,2,3,4,6,8,9,
10,11,12,13,14,15,16,20,23,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,
46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,70,71,72,82,86,96,109,110,111,
112,113,117,119,120,121,122,123,124,125,130,131,132,136,137,139,143,145,146,
150,154,155,157,158,159,160,162,164,166,167,168,169,170,175,176,177,178,179,
180,181,187,188,189,190,196,197,202,203,205,208,209,210,211,212,213,214,215,
216,218,221,227,228,252,262,276,278,283,305,306,307,309,310,312,313,314,315,
316,317,322,325,326,327,328,329,330,332,333,334,335,347,348,349,350,355,356,
357,358,359,360,361,368,371,372,378,379,386,387,388,389,390,391,394,395,398,
403,408,416,417,418,419,431,436,437,453,454,455,464,465,473,474,475,488,489,
490,491,492,497,529,533,558,575,618,631,632,633,634,635,636,637,643,650,651,
660,670,671,672,698,699,700,701,717,718,719,733,739,749,752,757,762,799,800,
851,853,860,874,879,936,937,962,967,984,993,1004,1009,1075,1099,1137,1195,
1252,1254,1373],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,
30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,
60,62,63,64,65,66,67,68,70,71,74,82,86,97,109,110,111,112,113,114,117,119,120,
121,122,123,124,125,128,129,130,131,132,136,137,138,145,146,150,154,155,157,
158,159,160,161,162,164,165,166,167,168,169,170,175,176,177,178,179,180,181,
182,183,187,188,189,190,192,193,195,196,197,202,203,204,205,206,208,209,210,
212,213,214,215,216,218,221,223,225,252,255,258,262,276,278,283,305,306,307,
309,310,312,313,314,315,316,317,318,319,322,325,326,327,328,329,330,331,333,
334,335,337,338,339,340,341,343,344,347,349,350,355,356,357,358,359,360,361,
368,372,378,379,381,382,384,385,386,387,389,390,391,394,395,396,399,411,416,
417,419,420,421,432,438,450,451,452,457,458,460,462,473,474,476,488,489,490,
491,493,499,529,533,554,555,618,624,625,626,631,632,633,635,636,637,642,645,
646,650,651,660,662,663,670,673,694,695,696,697,701,711,712,714,716,737,747,
748,751,758,762,801,802,846,847,851,853,860,874,879,935,936,937,960,961,966,
983,994,995,996,1010,1075,1100,1138,1196,1251,1252,1254,1374],[1,2,3,5,6,8,9,
10,11,12,13,14,15,16,17,24,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,
46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,67,68,71,75,84,87,103,111,112,
113,115,116,117,119,120,121,122,123,125,128,129,130,131,132,137,154,155,157,
158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,192,193,
195,203,204,205,206,209,211,213,214,230,231,232,271,273,280,306,307,308,310,
312,313,314,315,316,317,322,326,332,333,336,338,339,340,341,342,348,349,381,
382,383,384,385,387,388,395,444,446,459,466,502,503,504,505,506,511,532,535,
587,589,619,626,627,628,634,646,661,683,684,690,701,755,756,770,776,777,778,
780,861,876,878,938,964,988,1014,1015,1076,1119,1147,1202,1253,1375],[1,2,3,4,
6,8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,68,69,71,75,82,86,102,109,
111,112,113,117,119,120,121,122,123,125,127,130,131,132,134,137,154,155,157,
158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,191,196,
197,199,201,202,204,207,208,215,216,230,231,232,276,278,283,305,306,307,310,
312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,359,375,
377,380,386,389,390,391,395,450,456,467,469,502,503,504,505,506,511,529,533,
584,585,618,633,635,636,637,652,660,677,678,682,701,755,756,770,772,773,775,
782,860,874,879,937,968,988,1013,1016,1075,1121,1145,1201,1254,1376],[1,2,3,5,
6,7,8,9,10,11,12,13,14,15,16,17,24,27,28,29,30,31,34,35,36,38,39,40,42,44,45,
47,48,49,52,53,55,56,57,58,60,61,62,63,64,65,67,68,69,70,71,72,75,85,87,88,89,
103,112,114,115,116,119,120,123,125,127,128,132,133,134,136,137,139,143,144,
145,146,147,149,150,155,158,159,161,162,166,175,176,178,179,181,182,187,192,
194,195,196,201,202,203,205,207,209,210,211,212,213,214,216,217,219,220,227,
228,230,231,232,272,273,274,285,308,312,316,318,332,336,337,339,340,342,348,
350,371,372,376,377,378,381,383,386,388,392,393,404,405,408,417,418,420,431,
433,436,437,443,445,459,461,468,471,475,476,477,488,490,492,493,497,502,504,
506,507,509,534,536,550,588,589,591,621,627,649,654,663,674,684,689,691,746,
747,752,756,758,765,776,779,780,784,799,805,809,813,817,822,862,877,883,909,
947,973,1005,1012,1014,1022,1028,1078,1120,1148,1155,1213,1258,1377],[1,2,3,4,
9,10,11,12,13,14,15,16,17,23,26,31,33,35,36,37,42,43,44,46,48,52,53,54,56,57,
58,60,61,62,63,64,65,68,69,70,71,73,75,90,91,102,108,109,117,121,122,124,125,
126,127,132,134,136,137,141,143,144,145,147,148,149,150,156,167,168,169,170,
174,179,180,181,187,190,191,196,197,199,203,204,208,209,210,214,215,216,217,
218,221,226,229,230,231,232,279,282,284,305,311,322,326,335,346,355,356,357,
358,359,367,369,370,375,379,380,387,390,391,394,406,407,410,414,415,428,431,
433,434,435,451,454,464,466,469,471,472,473,475,481,482,483,484,500,502,503,
505,508,510,530,531,551,586,590,620,637,651,656,668,672,678,681,699,740,749,
750,755,761,764,771,773,775,786,795,806,809,814,819,824,859,875,882,910,949,
969,1009,1011,1013,1021,1026,1077,1118,1146,1156,1215,1259,1378],[1,2,3,4,9,
10,11,12,13,14,15,16,20,23,26,31,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,
57,58,60,61,62,63,65,70,71,72,73,75,90,91,96,108,109,110,117,121,122,126,127,
132,136,137,139,141,144,147,148,149,156,167,168,169,170,174,178,179,180,181,
187,188,189,190,191,196,197,208,215,216,217,218,221,226,227,228,229,230,231,
232,233,234,235,236,263,267,279,282,284,305,311,322,325,326,335,346,355,356,
357,358,359,361,367,368,369,370,380,390,391,394,398,403,406,407,408,410,414,
415,428,433,434,435,454,455,456,464,465,471,472,481,482,483,484,500,502,503,
505,507,509,512,513,514,515,516,530,531,551,564,576,620,632,637,643,656,668,
677,699,700,702,715,717,718,719,733,750,755,761,764,771,772,782,786,788,789,
791,794,795,804,813,815,820,824,852,854,859,875,882,910,912,939,949,993,1016,
1020,1021,1025,1032,1040,1042,1050,1077,1096,1140,1154,1216,1259,1265,1379],[
1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,22,24,27,28,29,30,31,34,35,36,38,39,
40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,
70,71,72,73,75,85,87,88,89,99,112,114,115,116,118,119,120,123,125,127,128,129,
132,134,136,139,141,143,145,146,150,153,155,158,159,161,162,163,166,172,173,
174,175,176,178,179,181,182,183,184,186,187,192,193,194,200,201,204,205,207,
209,210,211,212,214,219,220,226,227,228,229,230,231,232,233,234,235,236,265,
268,269,270,272,273,274,285,308,312,316,318,321,324,332,336,337,339,340,342,
345,348,350,362,363,364,366,371,372,377,378,382,383,388,393,397,401,404,405,
408,410,417,418,420,424,427,431,436,437,445,446,449,461,462,463,475,476,488,
490,492,493,496,497,502,504,506,508,510,512,513,514,515,516,534,536,550,562,
563,568,621,627,639,641,654,663,669,683,691,693,695,706,713,724,728,729,730,
752,756,758,765,777,778,779,784,787,790,792,793,799,807,814,815,816,822,856,
858,862,877,883,909,911,941,947,991,1015,1019,1022,1027,1033,1038,1044,1048,
1078,1098,1135,1153,1217,1258,1266,1380],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
20,21,23,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,
55,56,57,58,60,62,63,64,65,66,70,71,72,90,91,92,93,96,97,100,102,104,109,110,
111,112,113,117,119,120,121,122,123,124,125,130,131,132,136,137,139,143,145,
146,150,154,155,157,158,159,160,162,164,166,167,168,169,170,175,176,177,178,
179,180,181,187,188,189,190,196,197,202,203,205,208,209,210,211,212,213,214,
215,216,218,221,227,228,260,261,263,266,267,279,281,282,284,288,289,293,294,
298,300,301,305,306,307,309,310,312,313,314,315,316,317,322,325,326,327,328,
329,330,332,333,334,335,347,348,349,350,355,356,357,358,359,360,361,368,371,
372,378,379,386,387,388,389,390,391,394,395,398,403,408,416,417,418,419,431,
436,437,453,454,455,464,465,473,474,475,488,489,490,491,492,497,531,543,548,
549,552,553,556,557,564,574,576,578,582,586,590,601,618,631,632,633,634,635,
636,637,643,650,651,660,670,671,672,698,699,700,701,717,718,719,733,739,749,
752,757,762,799,800,845,850,854,859,870,873,880,884,890,891,900,901,908,936,
937,962,967,984,993,1004,1009,1079,1094,1095,1096,1103,1116,1118,1139,1141,
1157,1195,1255,1260,1280,1283,1284,1293,1296,1381],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,17,20,21,23,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,74,
82,86,92,93,96,97,100,102,104,108,111,112,113,115,116,117,118,119,120,121,122,
123,125,126,127,130,131,132,133,134,137,140,147,148,149,154,155,156,157,158,
159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,177,179,180,181,
183,184,185,186,187,190,191,192,194,195,196,197,198,199,201,202,203,204,205,
207,209,211,214,215,216,217,219,220,223,224,252,255,258,262,276,278,283,288,
289,293,294,298,300,301,306,307,308,310,311,312,313,314,315,316,317,320,321,
322,324,326,327,328,329,332,333,334,336,338,339,340,341,342,343,345,346,348,
349,351,352,353,355,356,362,364,365,366,367,370,374,375,376,377,380,383,385,
386,387,388,389,392,393,395,396,400,409,414,415,422,423,425,430,439,443,447,
451,457,460,466,470,472,477,478,481,482,484,485,486,498,533,537,539,546,554,
555,558,560,573,575,581,584,585,601,619,626,627,628,629,630,634,636,638,639,
640,647,648,649,652,661,664,665,668,675,679,681,688,692,701,711,720,723,725,
735,741,745,753,760,761,796,797,846,847,851,860,866,872,879,887,889,898,899,
902,906,933,934,938,955,956,963,986,989,998,1003,1006,1080,1091,1099,1100,
1101,1117,1121,1132,1138,1158,1191,1256,1261,1277,1281,1285,1292,1294,1382],[
1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,24,26,27,28,29,30,31,33,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,62,63,64,65,
66,67,68,69,71,74,84,87,94,95,98,99,101,103,105,109,111,112,113,114,117,118,
119,120,121,122,123,125,128,129,130,131,132,133,134,135,137,142,151,152,153,
154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,
175,176,177,179,180,181,182,183,184,185,187,190,193,195,196,197,199,200,202,
203,204,206,208,213,215,216,220,222,223,224,225,253,257,264,268,271,273,280,
286,287,295,296,297,299,302,305,306,307,310,312,313,314,315,316,317,318,319,
320,322,323,324,326,327,328,329,330,331,334,335,338,343,344,354,355,356,357,
358,359,362,363,365,373,375,381,382,384,386,389,390,391,392,395,399,400,402,
412,413,424,426,427,429,440,443,444,446,447,459,466,467,468,479,480,487,494,
495,496,501,532,540,544,545,561,562,567,569,570,577,580,587,589,602,618,624,
625,633,635,636,637,638,644,645,646,660,667,669,676,683,684,686,689,690,701,
721,723,727,731,738,743,744,754,763,803,848,849,855,861,868,871,876,886,892,
893,895,904,905,935,937,959,964,987,990,999,1000,1007,1081,1092,1093,1097,
1102,1115,1119,1133,1136,1159,1193,1257,1262,1278,1282,1286,1291,1295,1383],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,32,33,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,74,83,86,91,92,93,96,97,100,102,104,108,110,111,
112,113,114,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,140,142,145,146,147,148,149,150,151,152,153,154,155,
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,
195,196,197,198,199,200,202,203,204,205,206,209,210,212,213,214,215,216,217,
220,222,223,224,225,252,254,256,258,259,260,261,262,263,266,275,277,278,279,
281,282,283,288,289,292,293,294,298,300,301,306,307,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,
337,338,339,340,341,343,344,346,347,349,350,351,352,353,354,355,356,360,362,
363,365,367,370,372,373,374,375,376,378,379,380,381,382,384,385,386,387,389,
392,395,396,399,400,402,409,411,412,413,414,415,416,417,419,420,421,422,423,
424,425,426,427,429,430,432,438,439,440,441,443,444,447,450,451,452,457,458,
460,466,467,468,472,473,474,476,477,478,479,480,481,482,484,485,486,487,488,
489,490,491,493,494,495,496,498,499,501,537,538,546,547,548,549,552,553,554,
555,556,557,558,559,560,564,565,566,571,572,574,575,578,579,581,582,583,585,
586,597,598,600,601,624,625,626,629,630,631,636,638,640,642,644,662,663,664,
665,667,668,669,670,673,675,676,680,681,682,686,687,688,689,690,692,694,696,
697,701,704,705,707,709,711,712,714,716,720,721,722,723,725,726,727,731,734,
735,737,738,751,753,754,758,760,761,762,763,796,797,801,802,803,810,811,812,
865,866,867,869,870,872,873,884,885,887,888,890,891,897,898,899,901,902,903,
906,907,908,915,932,942,943,944,946,979,980,981,983,986,987,989,990,992,994,
1041,1046,1104,1110,1112,1125,1126,1128,1131,1157,1158,1160,1204,1263,1264,
1267,1274,1288,1290,1297,1384],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,
23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,83,91,
92,93,96,97,100,102,104,110,112,115,116,118,119,120,121,123,124,125,127,128,
130,132,134,136,138,139,141,143,145,146,150,154,155,158,159,162,163,164,166,
172,173,174,175,176,177,178,179,180,181,183,184,186,187,188,189,190,192,194,
201,203,205,207,209,210,211,212,213,214,219,223,225,226,227,228,229,230,231,
232,233,234,235,236,254,256,259,260,261,263,266,275,277,279,281,282,288,289,
291,293,294,298,300,301,308,309,310,312,313,316,321,324,325,330,332,333,336,
339,340,341,342,345,347,348,350,360,364,366,371,372,377,379,381,383,385,388,
393,397,401,404,405,408,410,411,416,418,419,420,421,431,432,436,437,438,445,
449,459,461,463,473,474,475,476,488,489,490,491,492,493,497,499,502,504,506,
508,510,512,513,514,515,516,547,548,549,552,553,556,557,564,565,566,571,572,
574,578,582,586,592,594,599,601,622,627,628,639,641,653,654,662,671,684,691,
693,703,710,713,724,729,730,751,752,756,757,762,766,767,776,780,781,783,784,
787,790,792,793,800,801,802,805,814,815,817,821,864,869,870,873,884,890,891,
901,908,913,940,948,991,1014,1019,1023,1028,1034,1037,1043,1047,1106,1108,
1111,1114,1124,1127,1130,1157,1218,1269,1271,1273,1275,1289,1298,1300,1385],[
1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,31,32,33,35,36,37,42,43,44,46,48,
52,53,54,55,56,57,58,60,61,62,63,65,70,71,72,73,75,86,91,92,93,96,97,100,102,
104,108,109,110,117,121,122,126,127,132,136,137,139,141,144,147,148,149,156,
167,168,169,170,174,178,179,180,181,187,188,189,190,191,196,197,208,215,216,
217,218,221,226,227,228,229,230,231,232,233,234,235,236,252,258,260,261,262,
263,278,279,281,283,288,289,290,293,294,298,300,301,305,311,322,325,326,335,
346,355,356,357,358,359,361,367,368,369,370,380,390,391,394,398,403,406,407,
408,410,414,415,428,433,434,435,454,455,456,464,465,471,472,481,482,483,484,
500,502,503,505,507,509,512,513,514,515,516,537,546,549,554,555,556,557,558,
560,564,574,575,581,585,593,595,596,601,620,632,637,643,656,668,677,699,700,
702,715,717,718,719,733,750,755,761,764,771,772,782,786,788,789,791,794,795,
804,813,815,820,824,863,866,870,872,887,898,899,902,906,914,939,949,993,1016,
1020,1021,1025,1032,1040,1042,1050,1105,1107,1109,1113,1122,1123,1129,1158,
1216,1268,1270,1272,1276,1287,1299,1301,1386],[1,2,3,6,8,9,10,12,13,14,15,25,
26,28,29,30,34,35,36,39,40,42,45,46,48,62,106,108,111,115,116,117,119,120,123,
126,156,167,198,202,307,308,311,327,352,374,607,609,619,629,647,920,933,1316,
1387],[1,2,3,7,9,10,11,12,13,14,15,25,26,27,31,32,35,36,38,41,42,44,46,47,48,
49,62,64,66,67,74,106,108,110,112,114,117,118,124,126,128,130,133,135,138,140,
142,154,156,157,158,160,161,167,171,175,182,185,222,223,224,225,309,311,314,
318,320,323,396,399,400,402,409,411,412,413,441,607,608,640,642,644,734,920,
921,932,1388],[1,2,4,10,11,16,18,20,26,33,52,63,73,78,90,91,108,109,141,144,
170,191,208,260,335,346,434,530,531,551,613,620,842,845,1062,1077,1389],[1,2,
4,10,11,16,18,20,26,33,52,63,73,78,90,91,108,109,141,144,170,191,208,267,335,
346,434,530,531,551,613,614,620,843,852,1064,1077,1390],[1,2,3,4,6,9,10,11,12,
14,18,27,29,31,33,36,37,43,44,80,82,86,107,109,111,112,113,121,122,242,305,
306,529,533,615,618,842,1065,1075,1165,1233,1391],[1,2,4,10,11,16,18,20,23,26,
32,33,52,55,63,70,72,78,86,91,92,96,102,108,170,189,191,228,262,278,281,290,
293,346,398,456,537,558,585,614,715,843,863,898,1064,1107,1392],[1,2,4,10,11,
16,18,23,26,33,52,63,70,75,78,90,102,107,108,170,191,221,231,245,284,304,346,
454,503,530,590,616,771,843,875,1064,1146,1166,1238,1317,1393],[1,2,4,10,11,
16,18,23,26,33,52,63,75,78,86,102,107,109,170,191,208,231,245,278,304,335,456,
503,529,585,616,772,842,874,1062,1145,1165,1236,1318,1394],[1,2,3,4,5,6,7,8,
13,17,19,21,22,23,24,25,40,41,50,51,69,77,82,83,87,89,94,95,98,99,100,101,103,
105,106,173,238,239,241,247,248,249,254,255,256,268,270,276,277,286,287,295,
296,297,299,302,520,521,523,527,528,572,573,602,617,830,831,833,834,838,839,
931,1058,1059,1066,1242,1321,1395],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,26,
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,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,108,109,
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,
224,225,226,227,228,229,230,231,232,233,234,235,236,305,306,307,308,309,310,
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,
501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,618,619,620,
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,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,932,933,934,
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,
1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1173,1174,
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,
1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,
1396],[1,2,4,5,9,10,15,18,19,20,23,46,76,77,78,84,85,86,90,92,93,104,107,239,
240,252,253,301,303,304,518,519,603,610,613,832,835,916,1073,1074,1397],[1,2,
3,4,5,6,7,9,10,11,12,14,15,17,21,22,24,27,29,31,33,36,37,38,43,44,47,48,49,50,
59,64,67,68,77,82,84,86,87,95,99,103,109,111,112,113,114,121,122,128,129,158,
161,165,175,182,183,193,195,203,204,206,213,238,255,257,258,268,271,273,280,
296,305,306,318,319,330,331,338,343,344,381,382,384,520,529,532,533,544,545,
561,562,587,589,618,624,625,645,646,839,846,847,855,861,892,895,935,1054,1075,
1081,1097,1119,1221,1251,1278,1337,1398],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,
17,21,22,23,24,26,28,29,30,34,35,36,38,39,40,41,42,45,47,48,49,50,51,53,54,57,
59,61,62,63,67,68,69,77,82,84,85,86,87,88,93,95,99,100,102,103,111,115,116,
117,118,119,120,123,127,133,134,156,157,161,163,172,173,174,179,183,184,185,
186,191,194,195,196,199,201,204,207,216,217,219,220,238,255,257,258,264,265,
268,269,272,273,274,276,278,283,285,294,296,307,308,320,321,324,329,343,345,
351,362,364,365,366,367,375,376,377,380,392,393,519,520,532,533,534,535,539,
541,542,544,546,560,562,563,568,573,584,585,588,589,591,619,630,638,639,648,
649,652,837,839,847,849,855,856,857,860,862,889,894,895,896,899,934,1054,1056,
1076,1080,1082,1091,1098,1120,1121,1221,1223,1250,1277,1279,1339,1399],[1,2,3,
4,6,9,10,11,12,14,15,16,20,23,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,65,
70,76,82,86,90,91,92,96,102,109,110,111,112,113,121,122,124,136,154,175,178,
187,188,189,209,210,212,214,218,221,237,252,262,263,267,279,282,284,293,305,
306,309,325,349,350,360,361,368,378,379,394,518,529,531,533,543,548,564,576,
586,590,618,631,632,650,651,836,851,853,854,859,890,900,936,1053,1075,1079,
1096,1118,1224,1252,1280,1338,1400],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,20,
21,23,24,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,
56,57,58,60,62,63,64,65,66,71,77,82,84,85,86,87,88,93,95,96,97,111,112,113,
115,116,117,119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,
162,164,166,167,168,169,170,176,177,179,180,181,187,190,192,203,205,209,211,
214,241,252,258,262,271,272,273,274,276,278,280,283,285,289,306,307,308,310,
312,313,314,315,316,317,322,326,332,333,336,338,339,340,341,342,348,349,383,
385,387,388,395,519,520,532,533,534,535,539,541,542,544,546,554,555,558,575,
619,626,627,628,634,661,701,829,846,851,860,861,862,872,876,878,938,1054,1056,
1076,1080,1082,1099,1100,1227,1253,1256,1339,1401],[1,2,3,4,6,8,9,10,11,12,13,
14,15,16,20,21,23,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,
52,53,56,57,58,60,62,63,64,65,66,71,76,82,86,90,91,92,97,100,109,111,112,113,
117,119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,
166,167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,215,216,240,
260,261,266,276,278,279,282,283,284,288,305,306,307,310,312,313,314,315,316,
317,322,326,327,328,329,334,335,355,356,357,358,359,386,389,390,391,395,518,
529,531,533,543,548,552,553,556,578,618,633,635,636,637,660,701,828,845,850,
859,860,873,874,879,937,1053,1075,1079,1094,1095,1226,1254,1255,1338,1402],[1,
2,3,4,5,6,8,9,10,11,12,13,14,15,16,19,22,23,24,26,27,28,29,30,31,33,35,36,37,
39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,77,82,84,86,
87,95,98,101,109,111,112,113,117,119,120,121,122,123,125,130,131,132,137,154,
155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,
196,197,202,208,215,216,239,253,257,264,271,273,276,278,280,283,287,305,306,
307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,
359,386,389,390,391,395,520,529,532,533,544,545,567,569,570,577,618,633,635,
636,637,660,701,831,848,849,860,861,871,874,879,937,1054,1075,1081,1092,1093,
1228,1254,1257,1337,1403],[1,2,3,4,6,9,10,11,12,14,15,16,20,23,27,29,31,32,33,
36,37,43,44,46,49,52,55,56,64,65,70,76,82,86,90,91,92,93,104,109,110,111,112,
113,121,122,124,136,154,175,178,187,188,189,209,210,212,214,218,221,240,252,
262,279,281,282,284,301,305,306,309,325,349,350,360,361,368,378,379,394,518,
529,531,533,543,548,549,582,618,631,632,650,651,835,851,853,859,880,908,936,
1053,1075,1079,1103,1116,1225,1252,1293,1338,1404],[1,2,3,4,5,6,7,9,10,11,12,
14,15,17,21,24,27,29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,77,82,84,86,
87,94,95,105,109,111,112,113,114,121,122,128,129,158,161,165,175,182,183,193,
195,203,204,206,213,241,255,258,271,273,280,302,305,306,318,319,330,331,338,
343,344,381,382,384,520,529,532,533,540,544,545,580,618,624,625,645,646,834,
846,847,861,876,905,935,1054,1075,1081,1102,1115,1227,1251,1291,1337,1405],[1,
2,3,4,5,6,8,9,10,12,13,14,15,19,23,24,26,28,29,30,34,35,36,39,40,42,45,46,48,
62,77,82,84,85,86,87,88,92,93,95,104,108,111,115,116,117,119,120,123,126,156,
167,198,202,239,253,272,273,274,276,278,283,285,301,307,308,311,327,352,374,
519,520,532,533,534,535,537,539,541,542,544,546,581,619,629,647,832,848,860,
862,879,906,933,1054,1056,1076,1080,1082,1101,1117,1228,1249,1292,1339,1406],[
1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,26,32,33,35,36,37,42,43,44,46,48,52,
53,54,55,56,57,58,62,63,70,71,72,75,76,86,90,92,93,96,97,100,102,104,108,117,
122,126,137,147,148,156,167,170,174,179,180,181,188,189,190,191,215,216,217,
218,221,228,231,233,236,237,240,252,258,262,267,278,283,284,288,289,293,294,
298,300,301,311,326,346,356,367,368,370,398,454,456,465,472,481,482,503,507,
514,517,518,522,530,537,546,554,555,558,560,575,576,581,585,601,715,717,761,
771,782,789,804,828,835,836,840,852,866,872,875,887,898,899,902,906,1032,1052,
1057,1140,1158,1220,1229,1230,1342,1345,1346,1407],[1,2,4,10,11,16,20,23,26,
32,33,52,55,63,70,72,73,75,76,86,90,91,92,96,102,108,109,141,144,170,189,191,
208,221,228,231,234,235,237,262,263,267,278,284,291,293,335,346,361,398,434,
454,455,456,503,509,512,518,529,530,531,537,543,551,558,576,585,590,592,594,
599,620,715,733,771,772,791,820,836,852,853,854,874,875,898,900,912,913,1042,
1052,1053,1077,1083,1087,1088,1137,1140,1145,1146,1220,1224,1265,1303,1306,
1307,1340,1408],[1,2,3,4,5,6,7,8,9,12,13,16,17,21,22,23,24,27,28,38,39,40,41,
50,51,53,54,57,60,61,65,68,69,72,73,75,77,82,83,84,85,87,88,89,93,94,95,98,99,
100,102,103,114,115,139,143,159,162,163,172,173,186,193,194,200,201,211,212,
226,229,230,234,236,238,255,256,264,265,268,269,270,271,272,275,276,290,294,
295,296,336,337,363,364,401,436,445,446,462,463,504,508,513,519,520,521,534,
535,536,538,539,540,541,550,567,568,571,573,583,584,587,588,593,595,596,621,
728,729,778,779,793,816,837,838,839,856,857,858,877,878,888,889,893,894,911,
914,1044,1055,1056,1078,1084,1089,1090,1134,1135,1147,1148,1222,1223,1266,
1305,1308,1309,1341,1409],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,
30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,
65,66,68,69,71,75,78,79,80,109,111,112,113,117,119,120,121,122,123,125,127,
130,131,132,134,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,
177,179,180,181,187,190,191,196,197,199,201,202,204,207,208,215,216,230,231,
232,242,243,244,245,246,305,306,307,310,312,313,314,315,316,317,322,326,327,
328,329,334,335,355,356,357,358,359,375,377,380,386,389,390,391,395,450,456,
467,469,502,503,504,505,506,511,524,525,526,618,633,635,636,637,652,660,677,
678,682,701,755,756,770,772,773,775,782,842,844,937,968,988,1013,1016,1062,
1063,1065,1201,1233,1234,1235,1236,1237,1348,1349,1350,1410],[1,2,3,4,11,13,
15,18,20,21,23,58,78,79,80,81,91,96,100,104,243,250,266,298,606,614,919,1351,
1411],[1,3,5,7,8,17,18,22,24,51,79,80,81,89,98,99,105,244,250,270,297,606,612,
919,1352,1412],[1,2,3,5,6,8,9,10,12,13,14,25,26,28,29,30,34,35,36,39,40,42,45,
84,87,111,115,116,117,119,120,123,249,307,308,532,535,607,609,619,1076,1316,
1413],[1,2,3,4,6,8,9,10,12,13,14,23,25,26,28,29,30,34,35,36,39,40,42,45,82,86,
93,111,115,116,117,119,120,123,247,276,278,283,307,308,533,539,546,607,609,
619,860,1070,1080,1316,1414],[1,2,3,5,6,8,9,10,12,13,14,24,25,26,28,29,30,34,
35,36,39,40,42,45,85,87,88,95,111,115,116,117,119,120,123,248,272,273,274,285,
307,308,534,541,542,544,607,609,619,862,1072,1082,1316,1415],[1,2,4,10,11,16,
20,23,25,26,32,33,52,55,63,70,72,86,90,91,96,109,170,189,208,221,228,247,260,
262,263,267,278,281,290,335,361,398,454,455,531,558,574,608,733,845,854,863,
880,1067,1068,1071,1123,1139,1416],[1,2,3,4,6,7,9,10,11,12,14,15,16,17,20,21,
23,25,26,29,31,36,38,46,48,49,50,52,56,59,62,64,65,67,68,74,82,83,86,91,97,
111,154,161,167,183,187,195,202,204,209,214,223,247,252,254,255,258,259,260,
261,262,275,278,279,292,327,343,349,396,451,457,460,533,554,556,565,607,711,
847,851,865,879,1066,1068,1070,1128,1138,1417],[1,2,4,10,11,16,20,23,25,26,32,
33,52,55,63,70,72,86,91,96,109,170,189,208,221,228,247,260,262,263,278,281,
290,335,361,398,454,455,529,558,574,607,733,853,863,874,1068,1070,1123,1137,
1418],[1,2,3,4,9,11,13,16,18,20,23,31,54,55,57,61,65,73,75,76,78,79,80,91,96,
178,226,230,233,235,237,240,243,245,263,279,515,517,522,526,564,614,827,840,
841,929,1061,1245,1353,1355,1357,1419],[1,2,3,4,5,6,7,8,9,13,16,17,18,19,21,
22,23,24,28,40,41,50,51,54,57,61,69,77,78,79,80,82,84,85,87,88,93,94,95,98,99,
100,101,102,103,105,107,115,163,173,194,201,238,239,241,242,243,244,245,246,
255,264,265,268,269,272,276,286,287,294,295,296,297,299,302,304,364,519,520,
523,524,525,526,534,535,539,541,568,573,584,588,602,610,615,616,831,834,837,
839,844,856,857,889,894,922,925,930,1056,1059,1074,1163,1167,1169,1171,1223,
1248,1319,1356,1420],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,
57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,82,86,93,96,97,109,110,111,112,
113,114,115,116,117,119,120,121,122,123,124,125,128,129,130,131,132,136,137,
138,139,143,145,146,150,154,155,157,158,159,160,161,162,164,165,166,167,168,
169,170,175,176,177,178,179,180,181,182,183,187,188,189,190,192,193,195,196,
197,202,203,204,205,206,208,209,210,211,212,213,214,215,216,218,221,223,225,
227,228,252,255,258,262,276,278,283,289,305,306,307,308,309,310,312,313,314,
315,316,317,318,319,322,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,340,341,342,343,344,347,348,349,350,355,356,357,358,359,360,361,368,
371,372,378,379,381,382,383,384,385,386,387,388,389,390,391,394,395,396,398,
399,403,404,405,408,411,416,417,418,419,420,421,431,432,436,437,438,442,450,
451,452,453,454,455,457,458,460,462,464,465,473,474,475,476,488,489,490,491,
492,493,497,499,529,533,539,546,554,555,558,575,618,619,621,622,624,625,626,
627,628,631,632,633,634,635,636,637,642,643,645,646,650,651,653,654,657,658,
660,661,662,663,670,671,672,673,694,695,696,697,698,699,700,701,711,712,714,
716,717,718,719,733,737,739,747,748,749,751,752,757,758,762,765,766,767,783,
784,799,800,801,802,846,847,851,853,860,872,874,879,935,936,937,938,947,948,
960,961,962,966,967,982,983,984,993,994,995,996,1004,1009,1010,1017,1075,1080,
1099,1100,1137,1138,1174,1175,1176,1182,1183,1195,1196,1251,1252,1254,1256,
1323,1363,1373,1374,1421],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,24,
26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,84,87,95,98,101,108,
109,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,130,131,132,
133,134,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,
164,166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,
190,191,192,194,195,196,197,198,199,201,202,203,204,205,207,208,209,211,214,
215,216,217,219,220,223,224,226,229,253,257,264,268,271,273,280,287,305,306,
307,308,310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,
333,334,335,336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,356,
357,358,359,362,364,365,366,367,369,370,374,375,376,377,380,383,385,386,387,
388,389,390,391,392,393,395,396,397,400,401,406,407,409,410,414,415,422,423,
425,428,430,433,434,435,439,442,443,445,447,448,449,451,457,460,461,463,466,
470,471,472,477,478,481,482,483,484,485,486,498,500,532,535,544,545,567,569,
570,577,618,619,620,623,626,627,628,629,630,633,634,635,636,637,638,639,640,
641,647,648,649,652,655,656,657,659,660,661,664,665,666,668,674,675,679,681,
685,688,691,692,693,701,711,713,720,723,724,725,729,730,735,736,741,745,746,
750,753,759,760,761,764,768,769,785,786,795,796,797,798,848,849,855,857,861,
871,876,878,933,934,937,938,949,950,955,956,958,963,965,982,985,986,989,991,
998,1001,1003,1005,1006,1018,1076,1081,1092,1093,1134,1136,1173,1175,1177,
1184,1185,1191,1192,1249,1250,1253,1257,1322,1362,1371,1372,1422],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,71,73,74,83,86,90,91,92,97,100,108,109,111,112,113,115,116,117,118,
119,120,121,122,123,125,126,127,130,131,132,133,134,137,140,141,144,147,148,
149,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,
174,176,177,179,180,181,183,184,185,186,187,190,191,192,194,195,196,197,198,
199,201,202,203,204,205,207,208,209,211,214,215,216,217,219,220,223,224,226,
229,252,254,256,258,259,260,261,266,275,277,278,279,282,284,288,291,292,305,
306,307,308,310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,
332,333,334,335,336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,
356,357,358,359,362,364,365,366,367,369,370,374,375,376,377,380,383,385,386,
387,388,389,390,391,392,393,395,396,397,400,401,406,407,409,410,414,415,422,
423,425,428,430,433,434,435,439,442,443,445,447,448,449,451,457,460,461,463,
466,470,471,472,477,478,481,482,483,484,485,486,498,500,531,537,543,547,548,
552,553,554,556,560,565,566,571,572,578,598,599,618,619,620,623,626,627,628,
629,630,633,634,635,636,637,638,639,640,641,647,648,649,652,655,656,657,659,
660,661,664,665,666,668,674,675,679,681,685,688,691,692,693,701,711,713,720,
723,724,725,729,730,735,736,741,745,746,750,753,759,760,761,764,768,769,785,
786,795,796,797,798,845,850,859,864,865,866,869,873,933,934,937,938,949,950,
955,956,958,963,965,982,985,986,989,991,998,1001,1003,1005,1006,1018,1079,
1083,1086,1094,1095,1111,1112,1124,1125,1127,1128,1144,1173,1175,1177,1184,
1185,1191,1192,1255,1288,1289,1322,1358,1423],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,
47,48,49,50,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,82,83,86,
91,93,96,97,109,110,111,112,113,114,115,116,117,119,120,121,122,123,124,125,
128,129,130,131,132,136,137,138,139,143,145,146,150,154,155,157,158,159,160,
161,162,164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,183,187,
188,189,190,192,193,195,196,197,202,203,204,205,206,208,209,210,211,212,213,
214,215,216,218,221,223,225,227,228,252,254,258,259,260,261,262,263,275,276,
278,279,281,283,289,290,292,305,306,307,308,309,310,312,313,314,315,316,317,
318,319,322,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,
379,381,382,383,384,385,386,387,388,389,390,391,394,395,396,398,399,403,404,
405,408,411,416,417,418,419,420,421,431,432,436,437,438,442,450,451,452,453,
454,455,457,458,460,462,464,465,473,474,475,476,488,489,490,491,492,493,497,
499,533,538,539,546,549,554,555,556,557,558,559,564,565,574,575,596,597,618,
619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,642,643,645,646,
650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,695,696,697,698,
699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,749,751,752,757,
758,762,765,766,767,783,784,799,800,801,802,846,851,860,863,865,867,870,872,
935,936,937,938,947,948,960,961,962,966,967,982,983,984,993,994,995,996,1004,
1009,1010,1017,1080,1084,1085,1099,1100,1109,1110,1122,1123,1126,1128,1143,
1174,1175,1176,1182,1183,1195,1196,1256,1287,1290,1323,1359,1424],[1,2,3,5,6,
7,8,9,10,11,12,13,14,15,16,17,19,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,
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,
65,66,67,68,69,70,71,72,74,84,87,94,99,101,108,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,142,143,145,146,147,148,149,150,151,152,153,154,155,156,
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,
195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,
215,216,217,219,220,222,223,224,225,227,228,253,257,264,268,271,273,280,286,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,354,355,356,360,362,363,364,365,366,367,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,392,393,395,396,398,399,400,402,403,404,405,408,409,411,412,413,414,415,
416,417,418,419,420,421,422,423,424,425,426,427,429,430,431,432,436,437,438,
439,440,441,443,444,447,450,451,452,456,457,458,460,466,467,468,469,470,472,
473,474,475,476,477,478,479,480,481,482,484,485,486,487,488,489,490,491,492,
493,494,495,496,497,498,499,501,532,535,540,561,562,569,577,619,621,622,624,
625,626,627,628,629,630,631,634,636,638,639,640,642,643,644,647,648,649,652,
653,654,658,661,662,663,664,665,667,668,669,670,671,672,673,675,676,677,678,
679,680,681,682,686,687,688,689,690,692,694,696,697,701,702,704,705,707,708,
709,711,712,714,715,716,720,721,722,723,725,726,727,731,732,734,735,737,738,
739,740,741,742,745,751,752,753,754,757,758,760,761,762,763,765,766,767,783,
784,796,797,799,800,801,802,803,810,811,812,848,849,855,857,861,868,876,878,
932,933,934,938,939,942,943,944,945,946,947,948,951,953,955,956,957,963,968,
969,970,971,974,978,979,980,981,983,984,986,987,989,990,992,994,997,998,1002,
1003,1006,1008,1017,1030,1041,1046,1076,1090,1093,1097,1102,1133,1136,1174,
1179,1181,1189,1191,1194,1204,1209,1211,1249,1250,1253,1295,1325,1360,1370,
1371,1425],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,
31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,82,86,92,97,100,108,109,110,
111,112,113,114,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,138,140,141,142,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,195,196,197,198,199,200,202,203,204,205,206,208,209,210,212,213,
214,215,216,217,218,220,221,222,223,224,225,226,229,252,255,258,262,276,278,
283,288,305,306,307,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,333,334,335,337,338,339,340,341,343,344,
346,347,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,365,367,
368,369,370,372,373,374,375,376,378,379,380,381,382,384,385,386,387,389,390,
391,392,394,395,396,397,399,400,401,402,406,407,409,410,411,412,413,414,415,
416,417,419,420,421,422,423,424,425,426,427,428,429,430,432,433,434,435,438,
439,440,441,443,444,446,447,450,451,452,457,458,459,460,462,466,467,468,471,
472,473,474,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,
493,494,495,496,498,499,500,501,529,533,537,554,555,560,573,618,620,623,624,
625,626,629,630,631,632,633,635,636,637,638,640,641,642,644,645,646,650,651,
655,656,659,660,662,663,664,665,666,667,668,669,670,673,674,675,676,680,681,
682,683,684,686,687,688,689,690,692,694,695,696,697,701,703,704,705,706,707,
709,710,711,712,714,716,720,721,722,723,725,726,727,728,731,734,735,736,737,
738,743,744,747,748,750,751,753,754,758,759,760,761,762,763,764,768,769,785,
786,795,796,797,798,801,802,803,810,811,812,846,847,851,853,860,866,874,879,
932,935,936,937,940,941,942,943,944,946,949,950,952,954,959,960,961,964,966,
972,973,975,976,977,979,980,981,983,985,986,987,989,990,992,994,995,996,999,
1000,1007,1010,1018,1031,1041,1046,1075,1088,1091,1100,1101,1132,1138,1173,
1178,1180,1190,1193,1196,1204,1208,1210,1251,1252,1254,1294,1324,1361,1369,
1374,1426],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,21,23,26,27,28,29,30,31,
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,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,82,83,86,91,93,100,102,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,127,128,129,
130,131,132,133,134,136,137,138,139,141,143,144,145,146,147,148,149,150,153,
154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,
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,
213,214,216,217,219,220,223,225,226,227,228,229,230,231,232,233,234,235,236,
255,256,258,266,275,276,278,279,281,283,290,292,294,306,307,308,309,310,312,
313,314,315,316,317,318,320,321,322,324,325,326,329,330,332,333,334,336,337,
338,339,340,341,342,343,345,347,348,349,350,351,352,353,358,359,360,362,363,
364,365,366,367,369,370,371,372,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,391,392,393,395,396,397,398,399,401,403,404,405,408,410,411,414,
416,417,418,419,420,421,422,424,425,427,428,431,432,433,434,435,436,437,438,
443,444,445,446,448,449,450,459,460,461,462,463,466,468,471,473,474,475,476,
477,478,481,483,484,485,486,488,489,490,491,492,493,496,497,499,500,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,533,538,539,546,549,552,
560,571,573,583,584,585,586,593,595,596,597,619,621,622,624,626,627,628,630,
631,633,634,638,639,641,642,643,646,648,649,652,653,654,658,661,662,663,665,
666,669,670,671,672,673,674,683,684,685,689,690,691,693,694,695,701,703,705,
706,709,710,713,720,722,724,728,729,730,736,737,739,743,746,747,750,751,752,
755,756,757,758,759,760,762,765,766,767,770,776,777,778,779,780,781,783,784,
787,788,789,790,791,792,793,794,795,798,799,800,801,802,805,807,809,813,814,
815,816,817,821,822,847,860,863,865,888,889,891,899,914,934,938,940,941,944,
947,948,958,964,965,972,973,975,983,984,985,988,991,996,999,1001,1005,1011,
1012,1014,1015,1017,1019,1020,1022,1023,1027,1028,1033,1034,1037,1038,1043,
1044,1047,1048,1051,1080,1084,1085,1091,1104,1105,1109,1110,1121,1125,1129,
1143,1174,1178,1187,1192,1200,1202,1203,1212,1213,1217,1218,1263,1276,1277,
1304,1305,1326,1359,1427],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,23,26,
27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,83,86,90,91,92,96,
102,108,109,110,111,112,113,117,118,119,120,121,122,123,124,125,126,127,130,
131,132,133,134,136,137,139,140,141,143,144,145,146,147,148,149,150,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,174,175,176,
177,178,179,180,181,185,186,187,188,189,190,191,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,221,223,224,
226,227,228,229,230,231,232,233,234,235,236,259,262,263,267,275,277,278,279,
282,284,291,292,293,305,306,307,309,310,311,312,313,314,315,316,317,320,321,
322,325,326,327,328,329,330,331,332,333,334,335,346,347,348,349,350,351,352,
353,354,355,356,357,358,359,360,361,367,368,369,370,371,372,374,375,376,377,
378,379,380,386,387,388,389,390,391,394,395,396,397,398,400,401,403,406,407,
408,409,410,414,415,416,417,418,419,422,423,424,425,426,428,430,431,433,434,
435,436,437,439,450,451,452,453,454,455,456,464,465,466,467,468,469,470,471,
472,473,474,475,477,478,481,482,483,484,485,486,487,488,489,490,491,492,497,
498,500,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,531,537,
543,547,548,558,559,564,576,583,585,586,590,592,594,598,599,618,620,623,629,
630,631,632,633,634,635,636,637,640,641,643,650,651,652,655,656,659,660,664,
665,666,667,668,670,671,672,674,675,677,678,679,680,681,682,698,699,700,701,
702,707,708,709,715,716,717,718,719,731,732,733,735,736,739,740,741,749,750,
752,753,755,756,757,759,760,761,762,764,768,769,770,771,772,773,774,775,782,
785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,804,806,809,
813,814,815,819,820,823,824,854,859,864,865,890,897,898,900,913,936,937,939,
945,946,949,950,962,967,968,969,970,971,984,985,986,988,993,1002,1003,1004,
1009,1011,1012,1013,1016,1018,1019,1020,1021,1024,1025,1026,1032,1035,1039,
1040,1042,1045,1049,1050,1051,1079,1083,1086,1096,1104,1106,1111,1112,1118,
1126,1130,1144,1173,1181,1186,1195,1198,1201,1203,1214,1215,1216,1219,1264,
1275,1280,1302,1303,1327,1358,1428],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,
19,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,84,87,
101,103,105,108,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,
128,129,130,131,132,133,134,136,137,140,145,146,147,148,149,151,152,154,155,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,177,
179,180,181,183,184,185,186,187,190,191,192,193,194,195,196,197,198,199,201,
202,203,204,205,206,207,209,211,212,213,214,215,216,217,218,219,220,221,223,
224,230,231,232,253,257,264,268,271,273,280,299,306,307,308,310,311,312,313,
314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,336,338,339,340,
341,342,343,345,346,348,349,351,352,353,355,356,362,364,365,366,367,370,374,
375,376,377,378,380,381,382,383,384,385,386,387,388,389,392,393,394,395,396,
400,409,414,415,422,423,425,429,430,432,439,443,444,446,447,451,453,454,457,
458,459,460,462,464,466,470,472,474,476,477,478,479,481,482,484,485,486,498,
502,503,504,505,506,511,532,535,569,577,580,587,589,619,626,627,628,629,630,
634,636,638,639,640,645,646,647,648,649,650,652,661,664,665,668,673,675,676,
679,681,683,684,687,688,690,692,695,697,698,699,701,711,720,723,725,735,741,
743,744,745,747,748,753,755,756,760,761,770,771,774,776,777,778,780,796,797,
812,823,824,848,849,855,857,861,876,878,904,933,934,938,955,956,963,964,966,
967,975,977,981,986,988,989,998,1003,1006,1007,1010,1014,1015,1021,1024,1031,
1076,1093,1115,1119,1136,1147,1176,1186,1188,1190,1191,1202,1205,1249,1250,
1253,1262,1332,1367,1371,1375,1429],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
20,21,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,
52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,82,86,97,102,
104,109,110,111,112,113,114,117,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,134,136,137,138,145,146,147,148,150,151,152,154,155,157,158,159,
160,161,162,164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,183,
187,188,189,190,191,192,193,194,195,196,197,198,199,201,202,203,204,205,206,
207,208,209,210,212,213,214,215,216,218,219,221,223,225,230,231,232,252,255,
258,262,276,278,283,300,305,306,307,309,310,312,313,314,315,316,317,318,319,
322,325,326,327,328,329,330,331,333,334,335,337,338,339,340,341,343,344,347,
349,350,355,356,357,358,359,360,361,368,372,374,375,377,378,379,380,381,382,
384,385,386,387,389,390,391,393,394,395,396,399,411,416,417,419,420,421,429,
430,432,438,445,447,448,450,451,452,456,457,458,460,461,462,467,469,470,472,
473,474,476,478,479,488,489,490,491,493,499,502,503,504,505,506,511,529,533,
554,555,581,584,585,618,624,625,626,631,632,633,635,636,637,642,645,646,647,
648,650,651,652,660,662,663,670,673,675,676,677,678,679,682,685,686,691,692,
694,695,696,697,701,711,712,714,716,737,740,741,742,745,747,748,751,755,756,
758,762,770,772,773,775,779,781,782,801,802,810,821,822,846,847,851,853,860,
874,879,902,935,936,937,960,961,963,965,966,968,971,978,979,983,988,994,995,
996,1006,1008,1010,1013,1016,1022,1023,1030,1075,1100,1117,1121,1138,1145,
1177,1187,1188,1189,1196,1201,1206,1251,1252,1254,1261,1331,1368,1374,1376,
1430],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,21,23,26,27,28,29,30,31,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,71,74,75,82,86,93,100,102,109,111,112,113,114,115,116,
117,118,119,120,121,122,123,125,127,128,129,130,131,132,133,134,135,137,142,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,179,180,181,182,183,184,185,186,187,190,191,
192,193,194,195,196,197,199,200,201,202,203,204,205,206,207,208,209,211,213,
214,215,216,217,219,220,222,223,224,225,230,231,232,255,258,276,278,283,294,
305,306,307,308,310,312,313,314,315,316,317,318,319,320,321,322,323,324,326,
327,328,329,330,331,332,333,334,335,336,338,339,340,341,342,343,344,345,348,
349,351,354,355,356,357,358,359,362,363,364,365,366,367,373,375,376,377,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,395,399,400,402,412,413,
424,426,427,429,440,442,443,444,446,447,450,452,456,458,459,466,467,468,469,
479,480,487,494,495,496,501,502,503,504,505,506,511,529,533,539,546,560,573,
584,585,618,619,624,625,626,627,628,630,633,634,635,636,637,638,639,644,645,
646,648,649,652,657,660,661,667,669,676,677,678,680,682,683,684,686,687,689,
690,701,714,721,722,723,726,727,731,738,740,742,743,744,754,755,756,763,770,
772,773,775,776,777,778,780,782,803,825,826,846,847,860,874,879,889,899,934,
935,937,938,957,959,964,968,982,987,988,990,992,997,999,1000,1002,1007,1008,
1013,1014,1015,1016,1036,1075,1080,1091,1121,1132,1145,1175,1193,1194,1197,
1201,1202,1207,1251,1254,1277,1335,1363,1369,1376,1431],[1,2,3,5,6,7,8,9,10,
11,12,13,14,15,16,17,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,
74,75,84,87,95,99,103,109,111,112,113,114,115,116,117,118,119,120,121,122,123,
125,127,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,199,
200,201,202,203,204,205,206,207,208,209,211,213,214,215,216,217,219,220,222,
223,224,225,230,231,232,257,264,268,271,273,280,296,305,306,307,308,310,312,
313,314,315,316,317,318,319,320,321,322,323,324,326,327,328,329,330,331,332,
333,334,335,336,338,339,340,341,342,343,344,345,348,349,351,354,355,356,357,
358,359,362,363,364,365,366,367,373,375,376,377,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,395,399,400,402,412,413,424,426,427,429,440,442,
443,444,446,447,450,452,456,458,459,466,467,468,469,479,480,487,494,495,496,
501,502,503,504,505,506,511,532,535,544,545,561,562,587,589,618,619,624,625,
626,627,628,630,633,634,635,636,637,638,639,644,645,646,648,649,652,657,660,
661,667,669,676,677,678,680,682,683,684,686,687,689,690,701,714,721,722,723,
726,727,731,738,740,742,743,744,754,755,756,763,770,772,773,775,776,777,778,
780,782,803,825,826,849,855,857,861,876,878,892,895,934,935,937,938,957,959,
964,968,982,987,988,990,992,997,999,1000,1002,1007,1008,1013,1014,1015,1016,
1036,1076,1081,1097,1119,1133,1147,1175,1193,1194,1197,1201,1202,1207,1250,
1253,1278,1335,1362,1370,1375,1432],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,83,86,90,91,
92,93,104,108,109,110,111,112,113,114,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,195,196,197,198,199,200,202,203,204,205,206,
208,209,210,212,213,214,215,216,217,218,220,221,222,223,224,225,226,229,275,
277,278,279,281,282,283,284,291,292,301,305,306,307,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,
335,337,338,339,340,341,343,344,346,347,349,350,351,352,353,354,355,356,357,
358,359,360,361,362,363,365,367,368,369,370,372,373,374,375,376,378,379,380,
381,382,384,385,386,387,389,390,391,392,394,395,396,397,399,400,401,402,406,
407,409,410,411,412,413,414,415,416,417,419,420,421,422,423,424,425,426,427,
428,429,430,432,433,434,435,438,439,440,441,443,444,446,447,450,451,452,457,
458,459,460,462,466,467,468,471,472,473,474,476,477,478,479,480,481,482,483,
484,485,486,487,488,489,490,491,493,494,495,496,498,499,500,501,531,537,538,
543,546,547,548,549,579,581,582,597,598,599,600,618,620,623,624,625,626,629,
630,631,632,633,635,636,637,638,640,641,642,644,645,646,650,651,655,656,659,
660,662,663,664,665,666,667,668,669,670,673,674,675,676,680,681,682,683,684,
686,687,688,689,690,692,694,695,696,697,701,703,704,705,706,707,709,710,711,
712,714,716,720,721,722,723,725,726,727,728,731,734,735,736,737,738,743,744,
747,748,750,751,753,754,758,759,760,761,762,763,764,768,769,785,786,795,796,
797,798,801,802,803,810,811,812,859,864,865,880,906,907,908,915,932,935,936,
937,940,941,942,943,944,946,949,950,952,954,959,960,961,964,966,972,973,975,
976,977,979,980,981,983,985,986,987,989,990,992,994,995,996,999,1000,1007,
1010,1018,1031,1041,1046,1079,1083,1086,1103,1108,1110,1111,1112,1114,1116,
1131,1144,1173,1178,1180,1190,1193,1196,1204,1208,1210,1273,1274,1293,1311,
1324,1358,1433],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,
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,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,82,83,86,91,92,93,104,108,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,142,143,145,146,147,148,149,150,
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,
209,210,211,212,213,214,215,216,217,219,220,222,223,224,225,227,228,275,276,
277,278,279,281,282,283,290,292,301,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,360,362,363,364,365,366,367,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,392,393,395,396,398,399,400,402,403,
404,405,408,409,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
426,427,429,430,431,432,436,437,438,439,440,441,443,444,447,450,451,452,456,
457,458,460,466,467,468,469,470,472,473,474,475,476,477,478,479,480,481,482,
484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,501,533,537,
538,539,546,547,548,549,579,581,582,596,597,598,600,619,621,622,624,625,626,
627,628,629,630,631,634,636,638,639,640,642,643,644,647,648,649,652,653,654,
658,661,662,663,664,665,667,668,669,670,671,672,673,675,676,677,678,679,680,
681,682,686,687,688,689,690,692,694,696,697,701,702,704,705,707,708,709,711,
712,714,715,716,720,721,722,723,725,726,727,731,732,734,735,737,738,739,740,
741,742,745,751,752,753,754,757,758,760,761,762,763,765,766,767,783,784,796,
797,799,800,801,802,803,810,811,812,860,863,865,879,906,907,908,915,932,933,
934,938,939,942,943,944,945,946,947,948,951,953,955,956,957,963,968,969,970,
971,974,978,979,980,981,983,984,986,987,989,990,992,994,997,998,1002,1003,
1006,1008,1017,1030,1041,1046,1080,1084,1085,1101,1107,1109,1110,1112,1113,
1117,1131,1143,1174,1179,1181,1189,1191,1194,1204,1209,1211,1272,1274,1292,
1310,1325,1359,1434],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,
28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,
56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,82,86,96,100,104,109,110,
111,112,113,114,117,118,119,120,121,122,123,124,125,126,128,129,130,131,132,
133,134,135,136,137,139,142,143,145,146,148,150,151,152,153,154,155,156,157,
158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,175,176,177,178,
179,180,181,182,183,184,185,187,188,189,190,193,194,195,196,197,198,199,200,
202,203,204,205,206,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,227,228,252,255,258,262,276,278,283,298,305,306,307,309,310,
312,313,314,315,316,317,318,319,320,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,338,343,344,347,348,349,350,353,354,355,356,357,358,359,360,
361,362,363,365,368,371,372,373,374,375,378,379,381,382,384,386,387,388,389,
390,391,392,393,394,395,398,399,400,402,403,408,412,413,416,417,418,419,422,
423,424,426,427,429,431,436,437,440,443,444,445,446,447,448,453,454,455,457,
458,459,460,461,464,465,466,467,468,469,470,473,474,475,479,480,482,487,488,
489,490,491,492,494,495,496,497,501,529,533,558,560,573,575,581,618,624,625,
631,632,633,634,635,636,637,638,643,644,645,646,647,648,650,651,660,664,667,
669,670,671,672,676,678,679,683,684,685,686,687,688,689,690,691,692,698,699,
700,701,704,705,708,712,717,718,719,721,723,727,731,732,733,738,739,742,743,
744,745,749,752,754,757,762,763,799,800,803,805,807,808,816,817,818,846,847,
851,853,860,874,879,887,935,936,937,942,945,959,962,963,964,965,967,974,978,
984,987,990,993,997,998,999,1000,1004,1007,1009,1027,1028,1029,1075,1091,1099,
1117,1132,1137,1177,1179,1193,1195,1199,1200,1205,1251,1252,1254,1285,1330,
1368,1369,1373,1435],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,22,24,26,27,28,
29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,84,87,98,99,105,111,112,
113,114,115,116,117,118,119,120,121,122,123,125,127,128,129,130,131,132,133,
134,135,136,137,141,142,144,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,211,212,214,216,217,218,219,220,221,
222,223,224,225,226,229,257,264,268,271,273,280,297,306,307,308,310,312,313,
314,315,316,317,318,319,320,321,322,323,324,326,329,331,332,333,334,336,337,
338,339,340,341,342,343,344,345,348,349,351,352,353,354,358,359,362,363,364,
365,366,367,369,370,373,375,376,377,378,380,382,383,384,385,386,387,388,391,
392,393,394,395,397,399,400,401,402,410,412,413,414,417,420,422,424,425,426,
427,428,429,433,434,435,440,444,445,446,447,448,449,450,451,452,453,454,456,
457,458,461,462,463,464,467,468,469,471,477,478,479,480,481,483,484,485,486,
487,488,494,495,496,500,501,532,535,561,562,567,570,580,619,625,626,627,628,
630,633,634,638,639,641,644,645,648,649,650,652,661,663,665,666,667,669,674,
676,677,678,680,682,683,685,686,687,691,693,695,696,697,698,699,701,704,706,
707,713,714,721,722,724,725,726,728,729,730,736,738,740,742,744,746,748,750,
754,759,760,763,795,798,803,804,806,808,818,819,820,849,855,857,861,876,878,
886,934,938,941,943,957,958,965,966,967,968,976,977,985,987,991,992,995,997,
1000,1001,1002,1005,1008,1025,1026,1029,1076,1092,1097,1115,1133,1134,1176,
1180,1192,1194,1198,1199,1206,1250,1253,1286,1329,1367,1370,1372,1436],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,17,20,23,26,27,28,29,30,31,32,33,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,82,86,92,96,102,108,109,110,111,112,113,117,118,
119,120,121,122,123,124,125,126,127,130,131,132,133,134,136,137,139,140,141,
143,144,145,146,147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,174,175,176,177,178,179,180,181,185,186,187,188,
189,190,191,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,221,223,224,226,227,228,229,230,231,232,233,234,
235,236,252,262,276,278,283,293,305,306,307,309,310,311,312,313,314,315,316,
317,320,321,322,325,326,327,328,329,330,331,332,333,334,335,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,367,368,369,370,371,372,374,
375,376,377,378,379,380,386,387,388,389,390,391,394,395,396,397,398,400,401,
403,406,407,408,409,410,414,415,416,417,418,419,422,423,424,425,426,428,430,
431,433,434,435,436,437,439,450,451,452,453,454,455,456,464,465,466,467,468,
469,470,471,472,473,474,475,477,478,481,482,483,484,485,486,487,488,489,490,
491,492,497,498,500,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,529,533,537,558,575,584,585,618,620,623,629,630,631,632,633,634,635,636,
637,640,641,643,650,651,652,655,656,659,660,664,665,666,667,668,670,671,672,
674,675,677,678,679,680,681,682,698,699,700,701,702,707,708,709,715,716,717,
718,719,731,732,733,735,736,739,740,741,749,750,752,753,755,756,757,759,760,
761,762,764,768,769,770,771,772,773,774,775,782,785,786,787,788,789,790,791,
792,793,794,795,796,797,798,799,800,804,806,809,813,814,815,819,820,823,824,
851,853,860,874,879,898,936,937,939,945,946,949,950,962,967,968,969,970,971,
984,985,986,988,993,1002,1003,1004,1009,1011,1012,1013,1016,1018,1019,1020,
1021,1024,1025,1026,1032,1035,1039,1040,1042,1045,1049,1050,1051,1075,1088,
1099,1101,1121,1137,1145,1173,1181,1186,1195,1198,1201,1203,1214,1215,1216,
1219,1252,1254,1281,1307,1327,1361,1373,1376,1437],[1,2,3,5,6,7,8,9,10,11,12,
13,14,15,16,17,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
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,
71,72,73,74,75,84,87,94,98,103,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,127,128,129,130,131,132,133,134,136,137,138,139,141,143,
144,145,146,147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,216,217,219,220,223,225,226,227,228,
229,230,231,232,233,234,235,236,257,264,268,271,273,280,295,306,307,308,309,
310,312,313,314,315,316,317,318,320,321,322,324,325,326,329,330,332,333,334,
336,337,338,339,340,341,342,343,345,347,348,349,350,351,352,353,358,359,360,
362,363,364,365,366,367,369,370,371,372,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,391,392,393,395,396,397,398,399,401,403,404,405,408,410,
411,414,416,417,418,419,420,421,422,424,425,427,428,431,432,433,434,435,436,
437,438,443,444,445,446,448,449,450,459,460,461,462,463,466,468,471,473,474,
475,476,477,478,481,483,484,485,486,488,489,490,491,492,493,496,497,499,500,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,532,535,540,567,
570,587,589,619,621,622,624,626,627,628,630,631,633,634,638,639,641,642,643,
646,648,649,652,653,654,658,661,662,663,665,666,669,670,671,672,673,674,683,
684,685,689,690,691,693,694,695,701,703,705,706,709,710,713,720,722,724,728,
729,730,736,737,739,743,746,747,750,751,752,755,756,757,758,759,760,762,765,
766,767,770,776,777,778,779,780,781,783,784,787,788,789,790,791,792,793,794,
795,798,799,800,801,802,805,807,809,813,814,815,816,817,821,822,849,855,857,
861,876,878,893,934,938,940,941,944,947,948,958,964,965,972,973,975,983,984,
985,988,991,996,999,1001,1005,1011,1012,1014,1015,1017,1019,1020,1022,1023,
1027,1028,1033,1034,1037,1038,1043,1044,1047,1048,1051,1076,1090,1092,1102,
1119,1134,1147,1174,1178,1187,1192,1200,1202,1203,1212,1213,1217,1218,1250,
1253,1282,1309,1326,1360,1372,1375,1438],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,17,23,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,82,86,92,93,
104,108,109,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,134,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,
162,163,164,166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,
186,187,190,191,192,194,195,196,197,198,199,201,202,203,204,205,207,208,209,
211,214,215,216,217,219,220,223,224,226,229,276,278,283,301,305,306,307,308,
310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,
335,336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,356,357,358,
359,362,364,365,366,367,369,370,374,375,376,377,380,383,385,386,387,388,389,
390,391,392,393,395,396,397,400,401,406,407,409,410,414,415,422,423,425,428,
430,433,434,435,439,442,443,445,447,448,449,451,457,460,461,463,466,470,471,
472,477,478,481,482,483,484,485,486,498,500,529,533,537,539,546,581,618,619,
620,623,626,627,628,629,630,633,634,635,636,637,638,639,640,641,647,648,649,
652,655,656,657,659,660,661,664,665,666,668,674,675,679,681,685,688,691,692,
693,701,711,713,720,723,724,725,729,730,735,736,741,745,746,750,753,759,760,
761,764,768,769,785,786,795,796,797,798,860,874,879,906,933,934,937,938,949,
950,955,956,958,963,965,982,985,986,989,991,998,1001,1003,1005,1006,1018,1075,
1080,1088,1101,1117,1173,1175,1177,1184,1185,1191,1192,1254,1292,1322,1361,
1363,1368,1439],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,24,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,
62,63,64,65,66,67,68,70,71,72,74,84,87,94,95,105,109,110,111,112,113,114,115,
116,117,119,120,121,122,123,124,125,128,129,130,131,132,136,137,138,139,143,
145,146,150,154,155,157,158,159,160,161,162,164,165,166,167,168,169,170,175,
176,177,178,179,180,181,182,183,187,188,189,190,192,193,195,196,197,202,203,
204,205,206,208,209,210,211,212,213,214,215,216,218,221,223,225,227,228,271,
273,280,302,305,306,307,308,309,310,312,313,314,315,316,317,318,319,322,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,
347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,379,381,382,383,
384,385,386,387,388,389,390,391,394,395,396,398,399,403,404,405,408,411,416,
417,418,419,420,421,431,432,436,437,438,442,450,451,452,453,454,455,457,458,
460,462,464,465,473,474,475,476,488,489,490,491,492,493,497,499,532,535,540,
544,545,580,618,619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,
642,643,645,646,650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,
695,696,697,698,699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,
749,751,752,757,758,762,765,766,767,783,784,799,800,801,802,861,876,878,905,
935,936,937,938,947,948,960,961,962,966,967,982,983,984,993,994,995,996,1004,
1009,1010,1017,1076,1081,1090,1102,1115,1174,1175,1176,1182,1183,1195,1196,
1253,1291,1323,1360,1362,1367,1440],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,
22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,74,75,84,85,87,88,95,
99,103,109,111,112,113,114,115,116,117,118,119,120,121,122,123,125,127,128,
129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,179,180,
181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,199,200,201,202,
203,204,205,206,207,208,209,211,213,214,215,216,217,219,220,222,223,224,225,
230,231,232,257,265,268,269,271,272,273,274,280,285,296,305,306,307,308,310,
312,313,314,315,316,317,318,319,320,321,322,323,324,326,327,328,329,330,331,
332,333,334,335,336,338,339,340,341,342,343,344,345,348,349,351,354,355,356,
357,358,359,362,363,364,365,366,367,373,375,376,377,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,395,399,400,402,412,413,424,426,427,429,440,
442,443,444,446,447,450,452,456,458,459,466,467,468,469,479,480,487,494,495,
496,501,502,503,504,505,506,511,532,534,541,542,544,545,561,562,563,568,587,
588,589,591,618,619,624,625,626,627,628,630,633,634,635,636,637,638,639,644,
645,646,648,649,652,657,660,661,667,669,676,677,678,680,682,683,684,686,687,
689,690,701,714,721,722,723,726,727,731,738,740,742,743,744,754,755,756,763,
770,772,773,775,776,777,778,780,782,803,825,826,855,856,861,862,881,892,894,
895,896,934,935,937,938,957,959,964,968,982,987,988,990,992,997,999,1000,1002,
1007,1008,1013,1014,1015,1016,1036,1081,1082,1097,1098,1119,1120,1142,1149,
1150,1175,1193,1194,1197,1201,1202,1207,1278,1279,1314,1335,1366,1441],[1,2,3,
5,6,7,8,9,10,11,12,13,14,15,16,17,22,24,26,27,28,29,30,31,32,33,34,35,36,37,
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,
64,65,66,67,68,69,70,71,72,73,74,75,85,87,88,89,95,99,103,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,127,128,129,130,131,132,133,134,
136,137,138,139,141,143,144,145,146,147,148,149,150,153,154,155,156,157,158,
159,160,161,162,163,164,166,167,168,169,170,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,216,217,219,
220,223,225,226,227,228,229,230,231,232,233,234,235,236,265,268,269,270,272,
273,274,285,296,306,307,308,309,310,312,313,314,315,316,317,318,320,321,322,
324,325,326,329,330,332,333,334,336,337,338,339,340,341,342,343,345,347,348,
349,350,351,352,353,358,359,360,362,363,364,365,366,367,369,370,371,372,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,391,392,393,395,396,397,
398,399,401,403,404,405,408,410,411,414,416,417,418,419,420,421,422,424,425,
427,428,431,432,433,434,435,436,437,438,443,444,445,446,448,449,450,459,460,
461,462,463,466,468,471,473,474,475,476,477,478,481,483,484,485,486,488,489,
490,491,492,493,496,497,499,500,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,534,536,541,542,544,550,562,563,568,588,589,591,619,621,622,
624,626,627,628,630,631,633,634,638,639,641,642,643,646,648,649,652,653,654,
658,661,662,663,665,666,669,670,671,672,673,674,683,684,685,689,690,691,693,
694,695,701,703,705,706,709,710,713,720,722,724,728,729,730,736,737,739,743,
746,747,750,751,752,755,756,757,758,759,760,762,765,766,767,770,776,777,778,
779,780,781,783,784,787,788,789,790,791,792,793,794,795,798,799,800,801,802,
805,807,809,813,814,815,816,817,821,822,856,858,862,877,883,894,895,896,909,
911,934,938,940,941,944,947,948,958,964,965,972,973,975,983,984,985,988,991,
996,999,1001,1005,1011,1012,1014,1015,1017,1019,1020,1022,1023,1027,1028,1033,
1034,1037,1038,1043,1044,1047,1048,1051,1078,1082,1089,1098,1120,1135,1148,
1151,1153,1155,1174,1178,1187,1192,1200,1202,1203,1212,1213,1217,1218,1258,
1266,1279,1308,1312,1326,1365,1377,1380,1442],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,20,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
90,91,92,96,102,108,109,110,111,112,113,117,118,119,120,121,122,123,124,125,
126,127,130,131,132,133,134,136,137,139,140,141,143,144,145,146,147,148,149,
150,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
174,175,176,177,178,179,180,181,185,186,187,188,189,190,191,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
221,223,224,226,227,228,229,230,231,232,233,234,235,236,263,267,279,282,284,
293,305,306,307,309,310,311,312,313,314,315,316,317,320,321,322,325,326,327,
328,329,330,331,332,333,334,335,346,347,348,349,350,351,352,353,354,355,356,
357,358,359,360,361,367,368,369,370,371,372,374,375,376,377,378,379,380,386,
387,388,389,390,391,394,395,396,397,398,400,401,403,406,407,408,409,410,414,
415,416,417,418,419,422,423,424,425,426,428,430,431,433,434,435,436,437,439,
450,451,452,453,454,455,456,464,465,466,467,468,469,470,471,472,473,474,475,
477,478,481,482,483,484,485,486,487,488,489,490,491,492,497,498,500,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,530,531,543,548,551,564,
576,586,590,618,620,623,629,630,631,632,633,634,635,636,637,640,641,643,650,
651,652,655,656,659,660,664,665,666,667,668,670,671,672,674,675,677,678,679,
680,681,682,698,699,700,701,702,707,708,709,715,716,717,718,719,731,732,733,
735,736,739,740,741,749,750,752,753,755,756,757,759,760,761,762,764,768,769,
770,771,772,773,774,775,782,785,786,787,788,789,790,791,792,793,794,795,796,
797,798,799,800,804,806,809,813,814,815,819,820,823,824,852,854,859,875,882,
890,900,910,912,936,937,939,945,946,949,950,962,967,968,969,970,971,984,985,
986,988,993,1002,1003,1004,1009,1011,1012,1013,1016,1018,1019,1020,1021,1024,
1025,1026,1032,1035,1039,1040,1042,1045,1049,1050,1051,1077,1079,1087,1096,
1118,1140,1146,1152,1154,1156,1173,1181,1186,1195,1198,1201,1203,1214,1215,
1216,1219,1259,1265,1280,1306,1313,1327,1364,1378,1379,1443],[1,2,3,4,5,6,9,
10,11,12,14,23,24,27,29,31,33,36,37,43,44,76,77,82,84,86,87,90,91,92,95,109,
111,112,113,121,122,271,273,279,280,282,284,303,305,306,518,520,529,531,532,
533,543,544,545,548,618,859,861,1053,1054,1075,1079,1081,1337,1338,1444],[1,2,
3,4,9,10,11,12,13,14,15,16,18,20,21,23,26,31,33,35,36,37,42,43,44,46,48,52,53,
54,56,57,58,60,61,62,63,65,71,73,78,79,80,90,91,97,108,109,117,121,122,126,
127,132,137,141,144,147,148,149,156,167,168,169,170,174,179,180,181,187,190,
191,196,197,208,215,216,217,226,229,243,260,261,266,279,282,284,305,311,322,
326,335,346,355,356,357,358,359,367,369,370,380,390,391,406,407,410,414,415,
428,433,434,435,471,472,481,482,483,484,500,530,531,551,556,578,613,620,637,
656,668,750,761,764,786,795,842,845,850,859,875,882,910,949,1062,1063,1065,
1077,1094,1234,1259,1389,1445],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,18,23,26,
27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,
63,64,65,66,71,78,79,80,82,86,107,109,111,112,113,117,119,120,121,122,123,125,
130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,
179,180,181,187,190,196,197,202,208,215,216,242,243,244,276,278,283,304,305,
306,307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,357,
358,359,386,389,390,391,395,524,529,533,615,618,633,635,636,637,660,701,842,
860,874,879,930,937,1062,1063,1065,1075,1165,1233,1234,1235,1254,1318,1348,
1391,1446],[1,2,4,10,11,16,18,20,23,26,32,33,52,55,63,70,72,73,75,78,90,91,96,
108,109,141,144,170,189,191,208,221,228,231,234,235,245,260,263,267,281,335,
346,361,398,434,454,455,456,503,509,512,530,531,551,574,613,620,715,733,771,
772,791,820,842,845,852,854,880,912,928,1042,1062,1077,1139,1236,1265,1389,
1447],[1,2,4,10,11,16,18,20,23,26,32,33,52,55,63,70,72,73,75,78,90,91,96,108,
109,141,144,170,189,191,208,221,228,231,234,235,245,263,267,284,335,346,361,
398,434,454,455,456,503,509,512,530,531,551,576,613,614,620,715,733,771,772,
791,820,843,852,854,875,912,928,929,1042,1064,1077,1140,1238,1265,1390,1448],[
1,2,3,4,9,10,11,12,13,14,15,16,18,20,21,23,26,32,33,35,36,37,42,43,44,46,48,
52,53,54,55,56,57,58,62,63,70,71,72,75,78,86,91,92,93,96,97,100,102,104,108,
117,122,126,137,147,148,156,167,170,174,179,180,181,188,189,190,191,215,216,
217,218,221,228,231,233,236,245,252,258,261,262,263,278,281,283,288,289,290,
293,294,298,300,301,311,326,346,356,367,368,370,398,454,456,465,472,481,482,
503,507,514,537,546,554,555,557,558,560,575,581,585,595,601,614,715,717,761,
771,782,789,804,843,863,866,872,887,898,899,902,906,929,1032,1064,1107,1122,
1129,1158,1238,1299,1392,1449],[1,2,3,4,5,9,10,11,13,14,15,16,18,19,20,21,22,
23,24,42,43,46,52,57,58,71,76,77,78,84,85,86,90,92,93,96,97,100,101,102,104,
107,190,237,238,239,240,241,245,252,253,262,264,265,267,280,283,288,289,293,
294,298,300,301,303,304,518,519,522,523,575,577,601,603,604,605,610,613,616,
828,829,832,835,836,837,916,917,918,925,928,1057,1060,1073,1074,1162,1247,
1248,1397,1450],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,23,24,26,27,28,29,30,31,
33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,
71,77,82,84,85,86,87,88,93,95,109,111,112,113,115,116,117,119,120,121,122,123,
125,130,131,132,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,
177,179,180,181,187,190,192,196,197,202,203,205,208,209,211,214,215,216,271,
272,273,274,276,278,280,283,285,305,306,307,308,310,312,313,314,315,316,317,
322,326,327,328,329,332,333,334,335,336,338,339,340,341,342,348,349,355,356,
357,358,359,383,385,386,387,388,389,390,391,395,442,519,520,529,532,533,534,
535,539,541,542,544,545,546,618,619,626,627,628,633,634,635,636,637,657,660,
661,701,860,861,862,874,876,878,879,881,937,938,982,1054,1056,1075,1076,1080,
1081,1082,1149,1175,1253,1254,1337,1339,1362,1363,1366,1451],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,
43,44,45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,67,70,71,72,74,77,82,
83,84,85,86,87,88,89,91,93,94,95,110,111,112,113,114,115,116,117,119,120,121,
122,123,124,125,128,130,131,132,136,137,138,139,143,145,146,150,154,155,157,
158,159,160,161,162,164,166,167,168,169,170,175,176,177,178,179,180,181,182,
187,188,189,190,192,203,205,209,210,211,212,213,214,223,225,227,228,271,272,
273,274,275,276,278,279,280,281,283,285,290,292,306,307,308,309,310,312,313,
314,315,316,317,318,322,325,326,330,332,333,336,337,338,339,340,341,342,347,
348,349,350,360,371,372,378,379,381,383,385,387,388,395,396,398,399,403,404,
405,408,411,416,417,418,419,420,421,431,432,436,437,438,473,474,475,476,488,
489,490,491,492,493,497,499,519,520,521,532,533,534,535,536,538,539,540,541,
542,544,546,549,550,596,597,619,621,622,624,626,627,628,631,634,642,643,653,
654,658,661,662,663,670,671,672,673,701,737,739,751,752,757,758,762,765,766,
767,783,784,799,800,801,802,860,861,862,863,865,876,877,878,883,909,938,947,
948,983,984,1017,1054,1055,1056,1076,1078,1080,1082,1084,1085,1089,1090,1102,
1109,1110,1143,1151,1174,1253,1258,1339,1341,1359,1360,1365,1452],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,23,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,73,74,76,82,83,
86,90,91,92,108,109,111,112,113,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,162,
163,164,166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,196,
197,198,202,208,215,216,217,223,224,226,229,275,276,277,278,279,282,283,284,
291,292,305,306,307,310,311,312,313,314,315,316,317,320,321,322,326,327,328,
329,334,335,346,351,352,353,355,356,357,358,359,367,369,370,374,376,380,386,
389,390,391,395,396,397,400,401,406,407,409,410,414,415,422,423,425,428,430,
433,434,435,439,471,472,477,478,481,482,483,484,485,486,498,500,518,529,530,
531,533,537,543,547,548,551,598,599,618,620,623,629,630,633,635,636,637,640,
641,655,656,659,660,664,665,666,668,674,675,701,735,736,750,753,759,760,761,
764,768,769,785,786,795,796,797,798,859,860,864,865,874,875,879,882,910,937,
949,950,985,986,1018,1052,1053,1075,1077,1079,1083,1086,1087,1088,1101,1111,
1112,1144,1152,1173,1254,1259,1338,1340,1358,1361,1364,1453],[1,2,3,4,6,8,9,
10,11,12,13,14,15,16,20,21,23,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,
45,46,47,48,49,52,53,55,56,57,58,60,62,63,64,65,66,70,71,72,76,82,86,90,91,92,
93,96,97,100,102,104,109,110,111,112,113,117,119,120,121,122,123,124,125,130,
131,132,136,137,139,143,145,146,150,154,155,157,158,159,160,162,164,166,167,
168,169,170,175,176,177,178,179,180,181,187,188,189,190,196,197,202,203,205,
208,209,210,211,212,213,214,215,216,218,221,227,228,237,240,252,260,261,262,
263,266,267,276,278,279,281,282,283,284,288,289,293,294,298,300,301,305,306,
307,309,310,312,313,314,315,316,317,322,325,326,327,328,329,330,332,333,334,
335,347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,379,386,387,
388,389,390,391,394,395,398,403,408,416,417,418,419,431,436,437,453,454,455,
464,465,473,474,475,488,489,490,491,492,497,518,522,529,531,533,543,548,549,
552,553,556,557,558,564,574,575,576,578,582,586,590,601,618,631,632,633,634,
635,636,637,643,650,651,660,670,671,672,698,699,700,701,717,718,719,733,739,
749,752,757,762,799,800,828,835,836,845,850,851,853,854,859,860,870,873,874,
879,880,884,890,891,900,901,908,936,937,962,967,984,993,1004,1009,1053,1057,
1075,1079,1094,1095,1096,1099,1103,1116,1118,1137,1139,1141,1157,1195,1224,
1225,1226,1252,1254,1255,1260,1280,1283,1284,1293,1296,1338,1343,1373,1381,
1400,1402,1404,1454],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,
24,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,56,57,58,59,60,62,63,64,65,66,67,68,69,71,74,77,82,84,86,87,94,95,98,99,
100,101,103,105,109,111,112,113,114,117,118,119,120,121,122,123,125,128,129,
130,131,132,133,134,135,137,142,151,152,153,154,155,156,157,158,159,160,161,
162,164,165,166,167,168,169,170,171,172,173,175,176,177,179,180,181,182,183,
184,185,187,190,193,195,196,197,199,200,202,203,204,206,208,213,215,216,220,
222,223,224,225,238,239,241,253,255,257,258,264,268,271,273,276,278,280,283,
286,287,295,296,297,299,302,305,306,307,310,312,313,314,315,316,317,318,319,
320,322,323,324,326,327,328,329,330,331,334,335,338,343,344,354,355,356,357,
358,359,362,363,365,373,375,381,382,384,386,389,390,391,392,395,399,400,402,
412,413,424,426,427,429,440,443,444,446,447,459,466,467,468,479,480,487,494,
495,496,501,520,523,529,532,533,540,544,545,560,561,562,567,569,570,573,577,
580,587,589,602,618,624,625,633,635,636,637,638,644,645,646,660,667,669,676,
683,684,686,689,690,701,721,723,727,731,738,743,744,754,763,803,831,834,839,
846,847,848,849,855,860,861,868,871,874,876,879,886,892,893,895,904,905,935,
937,959,964,987,990,999,1000,1007,1054,1059,1075,1081,1091,1092,1093,1097,
1102,1115,1119,1132,1133,1136,1159,1193,1221,1227,1228,1251,1254,1257,1262,
1278,1282,1286,1291,1295,1337,1344,1369,1383,1398,1403,1405,1455],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,71,74,77,82,84,85,86,87,88,92,93,95,96,97,99,100,101,102,
103,104,108,111,112,113,115,116,117,118,119,120,121,122,123,125,126,127,130,
131,132,133,134,137,140,147,148,149,154,155,156,157,158,159,160,161,162,163,
164,166,167,168,169,170,172,173,174,176,177,179,180,181,183,184,185,186,187,
190,191,192,194,195,196,197,198,199,201,202,203,204,205,207,209,211,214,215,
216,217,219,220,223,224,238,239,241,252,253,255,257,258,262,264,265,268,269,
271,272,273,274,276,278,280,283,285,288,289,293,294,296,298,300,301,306,307,
308,310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,333,
334,336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,356,362,364,
365,366,367,370,374,375,376,377,380,383,385,386,387,388,389,392,393,395,396,
400,409,414,415,422,423,425,430,439,443,447,451,457,460,466,470,472,477,478,
481,482,484,485,486,498,519,520,523,532,533,534,535,537,539,541,542,544,546,
554,555,558,560,562,563,568,569,573,575,577,581,584,585,588,589,591,601,619,
626,627,628,629,630,634,636,638,639,640,647,648,649,652,661,664,665,668,675,
679,681,688,692,701,711,720,723,725,735,741,745,753,760,761,796,797,829,832,
837,839,846,847,848,849,851,855,856,857,860,861,862,866,872,876,878,879,887,
889,894,895,896,898,899,902,906,933,934,938,955,956,963,986,989,998,1003,1006,
1054,1056,1060,1076,1080,1082,1091,1093,1098,1099,1100,1101,1117,1120,1121,
1132,1136,1138,1158,1191,1221,1223,1227,1228,1249,1250,1253,1256,1261,1277,
1279,1281,1285,1292,1294,1339,1344,1371,1382,1399,1401,1406,1456],[1,2,4,10,
11,16,18,20,23,25,52,76,78,86,90,91,92,96,102,237,245,247,260,262,267,293,517,
518,613,614,836,928,1067,1068,1246,1457],[1,2,3,5,6,8,9,10,12,13,14,15,19,25,
26,28,29,30,34,35,36,39,40,42,45,46,48,62,84,87,106,108,111,115,116,117,119,
120,123,126,156,167,198,202,249,253,307,308,311,327,352,374,527,532,535,607,
609,619,629,647,848,920,933,1076,1249,1316,1387,1413,1458],[1,2,4,10,11,16,20,
23,25,26,32,33,52,55,63,70,72,73,75,86,91,92,96,102,106,108,109,141,144,170,
189,191,208,221,228,231,234,235,247,260,262,263,278,281,290,293,335,346,361,
398,434,454,455,456,503,509,512,528,529,537,558,574,585,593,607,620,715,733,
771,772,791,820,853,863,874,898,920,1042,1068,1070,1088,1105,1107,1123,1137,
1145,1240,1301,1307,1418,1459],[1,2,3,4,9,10,11,12,13,14,15,16,20,21,23,25,26,
31,32,33,35,36,37,42,43,44,46,48,52,53,55,56,57,58,60,62,63,65,70,71,72,86,90,
91,93,96,97,106,109,110,117,121,122,132,136,137,139,167,168,169,170,178,179,
180,181,187,188,189,190,196,197,208,215,216,218,221,227,228,247,252,258,260,
261,262,263,266,267,278,279,281,282,283,284,289,290,305,322,325,326,335,355,
356,357,358,359,361,368,390,391,394,398,403,408,454,455,464,465,528,531,546,
549,554,555,556,557,558,564,574,575,576,578,596,608,632,637,643,699,700,717,
718,719,733,845,850,854,859,863,870,872,880,921,993,1067,1068,1071,1094,1096,
1103,1109,1122,1123,1139,1141,1239,1241,1243,1287,1296,1416,1460],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,20,21,23,25,26,27,28,29,30,31,35,36,38,39,40,41,
42,44,45,46,47,48,49,50,51,52,53,56,58,59,62,64,65,66,67,68,69,71,74,82,83,86,
91,92,97,100,106,108,111,112,117,118,119,120,123,125,126,130,133,134,140,154,
156,157,158,159,160,161,166,167,172,173,176,181,183,184,185,187,192,195,198,
199,202,203,204,205,209,214,220,223,224,247,252,254,255,256,258,259,260,261,
262,266,275,276,277,278,279,282,283,288,292,307,311,314,316,320,324,327,333,
338,339,340,341,343,349,352,362,365,374,375,385,387,392,396,400,409,443,447,
451,457,460,466,528,533,537,547,548,552,553,554,555,556,560,565,566,571,572,
573,578,598,607,626,629,638,640,681,688,692,711,720,723,725,846,847,851,860,
865,866,869,873,879,920,989,1066,1068,1070,1091,1100,1101,1112,1125,1128,1132,
1138,1240,1242,1243,1288,1294,1417,1461],[1,2,3,4,6,8,9,10,12,13,14,15,23,25,
26,28,29,30,34,35,36,39,40,42,45,46,48,62,82,86,92,93,104,106,108,111,115,116,
117,119,120,123,126,156,167,198,202,247,276,278,283,301,307,308,311,327,352,
374,528,533,537,539,546,581,607,609,619,629,647,860,879,906,920,933,1070,1080,
1101,1117,1240,1292,1316,1387,1414,1462],[1,2,3,4,7,9,10,11,12,13,14,15,23,25,
26,27,31,32,35,36,38,41,42,44,46,47,48,49,62,64,66,67,74,83,86,91,92,93,104,
106,108,110,112,114,117,118,124,126,128,130,133,135,138,140,142,154,156,157,
158,160,161,167,171,175,182,185,222,223,224,225,247,275,277,278,279,281,282,
283,292,301,309,311,314,318,320,323,396,399,400,402,409,411,412,413,441,528,
537,538,546,547,548,549,579,581,582,597,598,600,607,608,640,642,644,734,865,
906,907,908,915,920,921,932,1070,1071,1110,1112,1131,1239,1240,1274,1388,
1463],[1,2,4,10,11,16,20,23,25,26,32,33,52,55,63,70,72,73,75,86,90,91,92,96,
102,106,108,109,141,144,170,189,191,208,221,228,231,234,235,247,260,262,263,
267,278,281,284,290,291,293,335,346,361,398,434,454,455,456,503,509,512,528,
537,543,558,574,576,585,590,592,593,594,599,607,620,715,733,771,772,791,820,
863,898,900,913,920,1042,1067,1070,1083,1105,1107,1123,1240,1241,1244,1301,
1303,1464],[1,2,3,4,6,7,8,9,11,13,15,16,17,21,23,25,28,31,32,40,41,50,51,54,
57,58,61,64,65,69,72,73,74,75,82,83,91,93,100,102,106,110,115,138,139,145,155,
163,173,176,192,194,201,205,210,213,226,230,234,236,247,254,255,256,266,276,
277,279,281,290,291,292,294,342,347,364,397,437,438,449,459,461,506,510,513,
528,539,549,552,572,573,584,586,592,593,595,596,597,608,622,710,730,776,781,
792,817,864,889,891,914,921,1043,1066,1071,1085,1106,1108,1124,1239,1242,1244,
1300,1304,1465],[1,2,4,10,11,16,18,20,23,26,33,52,63,73,76,78,86,90,91,92,107,
108,109,141,144,170,191,208,240,260,278,284,291,304,335,346,434,518,529,530,
531,537,543,551,599,613,620,842,845,874,875,1052,1053,1062,1073,1077,1083,
1087,1088,1165,1226,1318,1340,1389,1466],[1,2,4,10,11,16,18,20,23,26,33,52,63,
73,76,78,86,90,91,92,107,108,109,141,144,170,191,208,240,267,278,284,291,304,
335,346,434,518,529,530,531,537,543,551,599,613,614,620,843,852,874,875,1052,
1053,1064,1073,1077,1083,1087,1088,1166,1229,1317,1340,1390,1467],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,
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,
65,66,67,68,69,70,71,72,73,74,75,83,86,90,91,92,93,96,97,100,102,104,108,109,
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,
224,225,226,227,228,229,230,231,232,233,234,235,236,252,254,256,258,259,260,
261,262,263,266,267,275,277,278,279,281,282,283,284,288,289,291,292,293,294,
298,300,301,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
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,
511,512,513,514,515,516,531,537,538,543,546,547,548,549,552,553,554,555,556,
557,558,559,560,564,565,566,571,572,574,575,576,578,579,581,582,583,585,586,
590,592,594,597,598,599,600,601,618,619,620,621,622,623,624,625,626,627,628,
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,
819,820,821,822,823,824,825,826,845,850,854,859,864,865,866,867,869,870,872,
873,880,884,885,887,888,890,891,897,898,899,900,901,902,903,906,907,908,913,
915,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,
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,
1051,1079,1083,1086,1094,1095,1096,1103,1104,1106,1108,1110,1111,1112,1114,
1116,1118,1124,1125,1126,1127,1128,1130,1131,1139,1141,1144,1157,1158,1160,
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,
1218,1219,1255,1260,1263,1264,1267,1269,1271,1273,1274,1275,1280,1283,1284,
1288,1289,1290,1293,1296,1297,1298,1300,1302,1303,1311,1322,1323,1324,1325,
1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1358,1381,1384,1385,
1396,1423,1428,1433,1468],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,
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,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,82,83,
86,91,92,93,96,97,100,102,104,108,109,110,111,112,113,114,115,116,117,118,119,
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,
234,235,236,252,254,255,256,258,259,260,261,262,263,266,275,276,277,278,279,
281,282,283,288,289,290,292,293,294,298,300,301,305,306,307,308,309,310,311,
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,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,533,537,538,539,
546,547,548,549,552,553,554,555,556,557,558,559,560,564,565,566,571,572,573,
574,575,578,579,581,582,583,584,585,586,593,595,596,597,598,600,601,618,619,
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,
810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,846,847,
851,860,863,865,866,867,869,870,872,873,879,884,885,887,888,889,890,891,897,
898,899,901,902,903,906,907,908,914,915,932,933,934,935,936,937,938,939,940,
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,
1044,1045,1046,1047,1048,1049,1050,1051,1080,1084,1085,1091,1099,1100,1101,
1104,1105,1107,1109,1110,1112,1113,1117,1121,1122,1123,1125,1126,1128,1129,
1131,1132,1138,1143,1157,1158,1160,1173,1174,1175,1176,1177,1178,1179,1180,
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,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1256,1261,1263,1264,1267,1268,
1270,1272,1274,1276,1277,1281,1285,1287,1288,1290,1292,1294,1297,1299,1301,
1304,1305,1310,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1359,1382,1384,1386,1396,1424,1427,1434,1469],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
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,
67,68,69,70,71,72,73,74,75,82,86,92,93,96,97,100,102,104,108,109,110,111,112,
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,
227,228,229,230,231,232,233,234,235,236,252,255,258,262,276,278,283,288,289,
293,294,298,300,301,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
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,
509,510,511,512,513,514,515,516,529,533,537,539,546,554,555,558,560,573,575,
581,584,585,601,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
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,
823,824,825,826,846,847,851,853,860,866,872,874,879,887,889,898,899,902,906,
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,
1051,1075,1080,1088,1091,1099,1100,1101,1117,1121,1132,1137,1138,1145,1158,
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,
1218,1219,1251,1252,1254,1256,1261,1277,1281,1285,1292,1294,1307,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1361,1363,
1368,1369,1373,1374,1376,1382,1396,1421,1426,1430,1431,1435,1437,1439,1470],[
1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,24,26,27,28,29,30,31,32,33,34,
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,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,84,87,94,95,98,99,101,103,105,
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,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,253,257,264,268,
271,273,280,286,287,295,296,297,299,302,305,306,307,308,309,310,311,312,313,
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,
504,505,506,507,508,509,510,511,512,513,514,515,516,532,535,540,544,545,561,
562,567,569,570,577,580,587,589,602,618,619,620,621,622,623,624,625,626,627,
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,
818,819,820,821,822,823,824,825,826,848,849,855,857,861,868,871,876,878,886,
892,893,895,904,905,932,933,934,935,936,937,938,939,940,941,942,943,944,945,
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,
1047,1048,1049,1050,1051,1076,1081,1090,1092,1093,1097,1102,1115,1119,1133,
1134,1136,1147,1159,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,
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,
1214,1215,1216,1217,1218,1219,1249,1250,1253,1257,1262,1278,1282,1286,1291,
1295,1309,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1360,1362,1367,1370,1371,1372,1375,1383,1396,1422,1425,1429,1432,
1436,1438,1440,1471],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,19,20,21,22,23,24,
26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,
62,63,64,65,66,71,76,77,82,84,86,87,90,91,92,95,97,98,100,101,109,111,112,113,
117,119,120,121,122,123,125,130,131,132,137,154,155,157,158,159,160,162,164,
166,167,168,169,170,176,177,179,180,181,187,190,196,197,202,208,215,216,239,
240,253,257,260,261,264,266,271,273,276,278,279,280,282,283,284,287,288,303,
305,306,307,310,312,313,314,315,316,317,322,326,327,328,329,334,335,355,356,
357,358,359,386,389,390,391,395,518,520,529,531,532,533,543,544,545,548,552,
553,556,567,569,570,577,578,603,618,633,635,636,637,660,701,828,831,845,848,
849,850,859,860,861,871,873,874,879,937,1053,1054,1075,1079,1081,1092,1093,
1094,1095,1226,1228,1254,1255,1257,1337,1338,1402,1403,1444,1472],[1,2,3,4,5,
6,9,10,11,12,14,15,16,20,23,24,27,29,31,32,33,36,37,43,44,46,49,52,55,56,64,
65,70,76,77,82,84,86,87,90,91,92,93,95,96,102,104,109,110,111,112,113,121,122,
124,136,154,175,178,187,188,189,209,210,212,214,218,221,237,240,252,262,263,
267,271,273,279,280,281,282,284,293,301,303,305,306,309,325,349,350,360,361,
368,378,379,394,518,520,529,531,532,533,543,544,545,548,549,564,576,582,586,
590,605,618,631,632,650,651,835,836,851,853,854,859,861,880,890,900,908,936,
1053,1054,1075,1079,1081,1096,1103,1116,1118,1224,1225,1252,1280,1293,1337,
1338,1400,1404,1444,1473],[1,2,3,4,5,6,7,9,10,11,12,14,15,17,21,22,23,24,27,
29,31,33,36,37,38,43,44,47,48,49,50,59,64,67,68,76,77,82,84,86,87,90,91,92,94,
95,99,103,105,109,111,112,113,114,121,122,128,129,158,161,165,175,182,183,193,
195,203,204,206,213,238,241,255,257,258,268,271,273,279,280,282,284,296,302,
303,305,306,318,319,330,331,338,343,344,381,382,384,518,520,529,531,532,533,
540,543,544,545,548,561,562,580,587,589,604,618,624,625,645,646,834,839,846,
847,855,859,861,876,892,895,905,935,1053,1054,1075,1079,1081,1097,1102,1115,
1119,1221,1227,1251,1278,1291,1337,1338,1398,1405,1444,1474],[1,2,3,5,6,8,9,
10,11,12,13,14,15,16,18,19,22,24,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,
44,45,46,47,48,49,52,53,56,57,58,60,62,63,64,65,66,71,78,79,80,84,85,87,88,95,
98,101,109,111,112,113,115,116,117,119,120,121,122,123,125,130,131,132,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,192,196,197,202,203,205,208,209,211,214,215,216,242,243,244,253,257,264,
271,272,273,274,280,285,287,305,306,307,308,310,312,313,314,315,316,317,322,
326,327,328,329,332,333,334,335,336,338,339,340,341,342,348,349,355,356,357,
358,359,383,385,386,387,388,389,390,391,395,442,524,532,534,541,542,544,545,
567,569,570,577,610,611,618,619,626,627,628,633,634,635,636,637,657,660,661,
701,842,848,849,861,862,871,881,922,923,924,937,938,982,1062,1063,1065,1081,
1082,1092,1093,1149,1163,1164,1175,1233,1234,1235,1257,1348,1366,1475],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,26,27,28,29,30,31,33,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,57,58,60,61,62,63,64,65,66,67,71,
73,74,78,79,80,90,91,92,97,100,108,109,111,112,113,117,118,119,120,121,122,
123,125,126,127,130,131,132,133,137,140,141,144,147,148,149,154,155,156,157,
158,159,160,161,162,163,164,166,167,168,169,170,174,176,177,179,180,181,185,
186,187,190,191,196,197,198,202,208,215,216,217,223,224,226,229,242,243,244,
260,261,266,279,282,284,288,305,306,307,310,311,312,313,314,315,316,317,320,
321,322,326,327,328,329,334,335,346,351,352,353,355,356,357,358,359,367,369,
370,374,376,380,386,389,390,391,395,396,397,400,401,406,407,409,410,414,415,
422,423,425,428,430,433,434,435,439,471,472,477,478,481,482,483,484,485,486,
498,500,524,530,531,543,548,551,552,553,556,578,613,618,620,623,629,630,633,
635,636,637,640,641,655,656,659,660,664,665,666,668,674,675,701,735,736,750,
753,759,760,761,764,768,769,785,786,795,796,797,798,842,845,850,859,873,875,
882,910,937,949,950,985,986,1018,1062,1063,1065,1077,1079,1087,1094,1095,1152,
1173,1233,1234,1235,1255,1259,1348,1364,1389,1445,1476],[1,2,3,4,9,10,11,12,
13,14,15,16,17,18,20,21,23,26,31,33,35,36,37,42,43,44,46,48,52,53,54,56,57,58,
60,61,62,63,64,65,68,69,70,71,73,75,78,79,80,90,91,97,102,104,108,109,117,121,
122,124,125,126,127,132,134,136,137,141,143,144,145,147,148,149,150,156,167,
168,169,170,174,179,180,181,187,190,191,196,197,199,203,204,208,209,210,214,
215,216,217,218,221,226,229,230,231,232,243,246,260,261,266,279,282,284,300,
305,311,322,326,335,346,355,356,357,358,359,367,369,370,375,379,380,387,390,
391,394,406,407,410,414,415,428,431,433,434,435,451,454,464,466,469,471,472,
473,475,481,482,483,484,500,502,503,505,508,510,525,530,531,551,556,578,582,
586,590,613,620,637,651,656,668,672,678,681,699,740,749,750,755,761,764,771,
773,775,786,795,806,809,814,819,824,842,845,850,859,875,882,901,910,949,969,
1009,1011,1013,1021,1026,1062,1063,1065,1077,1094,1116,1118,1146,1156,1215,
1234,1237,1259,1260,1350,1378,1389,1445,1477],[1,2,3,4,9,10,11,12,13,14,15,16,
18,20,21,23,26,31,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,60,61,62,
63,65,70,71,72,73,75,78,79,80,90,91,93,96,97,108,109,110,117,121,122,126,127,
132,136,137,139,141,144,147,148,149,156,167,168,169,170,174,178,179,180,181,
187,188,189,190,191,196,197,208,215,216,217,218,221,226,227,228,229,230,231,
232,233,234,235,236,243,245,260,261,263,266,267,279,281,282,284,289,305,311,
322,325,326,335,346,355,356,357,358,359,361,367,368,369,370,380,390,391,394,
398,403,406,407,408,410,414,415,428,433,434,435,454,455,456,464,465,471,472,
481,482,483,484,500,502,503,505,507,509,512,513,514,515,516,526,530,531,549,
551,556,557,564,574,576,578,613,620,632,637,643,656,668,677,699,700,702,715,
717,718,719,733,750,755,761,764,771,772,782,786,788,789,791,794,795,804,813,
815,820,824,842,845,850,852,854,859,870,875,880,882,910,912,928,939,949,993,
1016,1020,1021,1025,1032,1040,1042,1050,1062,1063,1065,1077,1094,1096,1103,
1139,1140,1141,1154,1216,1234,1236,1259,1265,1296,1349,1379,1389,1445,1447,
1478],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,23,26,27,28,29,30,31,33,35,36,
37,39,40,42,43,44,45,46,47,48,49,52,53,56,57,58,60,61,62,63,64,65,66,68,69,71,
75,78,79,80,82,86,102,107,109,111,112,113,117,119,120,121,122,123,125,127,130,
131,132,134,137,154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,
179,180,181,187,190,191,196,197,199,201,202,204,207,208,215,216,230,231,232,
242,243,244,245,246,276,278,283,304,305,306,307,310,312,313,314,315,316,317,
322,326,327,328,329,334,335,355,356,357,358,359,375,377,380,386,389,390,391,
395,450,456,467,469,502,503,504,505,506,511,524,525,526,529,533,584,585,615,
616,618,633,635,636,637,652,660,677,678,682,701,755,756,770,772,773,775,782,
842,844,860,874,879,930,937,968,988,1013,1016,1062,1063,1065,1075,1121,1145,
1165,1171,1201,1233,1234,1235,1236,1237,1254,1318,1348,1349,1350,1376,1391,
1394,1410,1446,1479],[1,2,3,4,5,6,8,9,10,12,13,14,23,24,25,26,28,29,30,34,35,
36,39,40,42,45,77,82,84,85,86,87,88,93,95,111,115,116,117,119,120,123,247,248,
249,272,273,274,276,278,283,285,307,308,519,520,532,533,534,535,539,541,542,
544,546,607,609,617,619,860,862,1054,1056,1070,1072,1076,1080,1082,1316,1339,
1413,1414,1415,1480],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,26,27,
28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,76,82,83,86,90,91,92,
93,97,100,104,108,109,110,111,112,113,114,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,140,141,142,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,195,196,197,198,199,200,202,203,204,205,
206,208,209,210,212,213,214,215,216,217,218,220,221,222,223,224,225,226,229,
240,252,255,258,262,275,276,277,278,279,281,282,283,284,288,291,292,301,305,
306,307,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,333,334,335,337,338,339,340,341,343,344,346,347,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,365,367,368,369,370,
372,373,374,375,376,378,379,380,381,382,384,385,386,387,389,390,391,392,394,
395,396,397,399,400,401,402,406,407,409,410,411,412,413,414,415,416,417,419,
420,421,422,423,424,425,426,427,428,429,430,432,433,434,435,438,439,440,441,
443,444,446,447,450,451,452,457,458,459,460,462,466,467,468,471,472,473,474,
476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,493,494,495,
496,498,499,500,501,518,529,530,531,533,537,538,543,546,547,548,549,551,554,
555,560,573,579,581,582,597,598,599,600,618,620,623,624,625,626,629,630,631,
632,633,635,636,637,638,640,641,642,644,645,646,650,651,655,656,659,660,662,
663,664,665,666,667,668,669,670,673,674,675,676,680,681,682,683,684,686,687,
688,689,690,692,694,695,696,697,701,703,704,705,706,707,709,710,711,712,714,
716,720,721,722,723,725,726,727,728,731,734,735,736,737,738,743,744,747,748,
750,751,753,754,758,759,760,761,762,763,764,768,769,785,786,795,796,797,798,
801,802,803,810,811,812,828,835,846,847,851,853,859,860,864,865,866,874,875,
879,880,882,906,907,908,910,915,932,935,936,937,940,941,942,943,944,946,949,
950,952,954,959,960,961,964,966,972,973,975,976,977,979,980,981,983,985,986,
987,989,990,992,994,995,996,999,1000,1007,1010,1018,1031,1041,1046,1052,1053,
1075,1077,1079,1083,1086,1087,1088,1091,1100,1101,1103,1108,1110,1111,1112,
1114,1116,1131,1132,1138,1144,1152,1173,1178,1180,1190,1193,1196,1204,1208,
1210,1225,1230,1251,1252,1254,1259,1273,1274,1293,1294,1311,1324,1338,1340,
1358,1361,1364,1369,1374,1404,1426,1433,1453,1481],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
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,
68,69,70,71,72,74,77,82,83,84,85,86,87,88,89,91,92,93,94,95,99,101,104,108,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,142,143,145,146,147,148,149,
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,
207,209,210,211,212,213,214,215,216,217,219,220,222,223,224,225,227,228,239,
253,257,264,268,271,272,273,274,275,276,277,278,279,280,281,282,283,285,286,
290,292,301,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,360,362,363,364,
365,366,367,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,392,393,395,396,398,399,400,402,403,404,405,408,409,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,429,430,431,432,
436,437,438,439,440,441,443,444,447,450,451,452,456,457,458,460,466,467,468,
469,470,472,473,474,475,476,477,478,479,480,481,482,484,485,486,487,488,489,
490,491,492,493,494,495,496,497,498,499,501,519,520,521,532,533,534,535,536,
537,538,539,540,541,542,544,546,547,548,549,550,561,562,569,577,579,581,582,
596,597,598,600,619,621,622,624,625,626,627,628,629,630,631,634,636,638,639,
640,642,643,644,647,648,649,652,653,654,658,661,662,663,664,665,667,668,669,
670,671,672,673,675,676,677,678,679,680,681,682,686,687,688,689,690,692,694,
696,697,701,702,704,705,707,708,709,711,712,714,715,716,720,721,722,723,725,
726,727,731,732,734,735,737,738,739,740,741,742,745,751,752,753,754,757,758,
760,761,762,763,765,766,767,783,784,796,797,799,800,801,802,803,810,811,812,
830,832,848,849,855,857,860,861,862,863,865,868,876,877,878,879,883,906,907,
908,909,915,932,933,934,938,939,942,943,944,945,946,947,948,951,953,955,956,
957,963,968,969,970,971,974,978,979,980,981,983,984,986,987,989,990,992,994,
997,998,1002,1003,1006,1008,1017,1030,1041,1046,1054,1055,1056,1076,1078,1080,
1082,1084,1085,1089,1090,1093,1097,1101,1102,1107,1109,1110,1112,1113,1117,
1131,1133,1136,1143,1151,1174,1179,1181,1189,1191,1194,1204,1209,1211,1228,
1231,1249,1250,1253,1258,1272,1274,1292,1295,1310,1325,1339,1341,1359,1360,
1365,1370,1371,1406,1425,1434,1452,1482],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,17,20,21,23,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,76,82,
83,86,90,91,92,93,97,100,104,108,109,111,112,113,115,116,117,118,119,120,121,
122,123,125,126,127,130,131,132,133,134,137,140,141,144,147,148,149,154,155,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,177,
179,180,181,183,184,185,186,187,190,191,192,194,195,196,197,198,199,201,202,
203,204,205,207,208,209,211,214,215,216,217,219,220,223,224,226,229,240,252,
254,256,258,259,260,261,266,275,276,277,278,279,282,283,284,288,291,292,301,
305,306,307,308,310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,
329,332,333,334,335,336,338,339,340,341,342,343,345,346,348,349,351,352,353,
355,356,357,358,359,362,364,365,366,367,369,370,374,375,376,377,380,383,385,
386,387,388,389,390,391,392,393,395,396,397,400,401,406,407,409,410,414,415,
422,423,425,428,430,433,434,435,439,442,443,445,447,448,449,451,457,460,461,
463,466,470,471,472,477,478,481,482,483,484,485,486,498,500,518,529,530,531,
533,537,539,543,546,547,548,551,552,553,554,556,560,565,566,571,572,578,581,
598,599,618,619,620,623,626,627,628,629,630,633,634,635,636,637,638,639,640,
641,647,648,649,652,655,656,657,659,660,661,664,665,666,668,674,675,679,681,
685,688,691,692,693,701,711,713,720,723,724,725,729,730,735,736,741,745,746,
750,753,759,760,761,764,768,769,785,786,795,796,797,798,828,835,845,850,859,
860,864,865,866,869,873,874,875,879,882,906,910,933,934,937,938,949,950,955,
956,958,963,965,982,985,986,989,991,998,1001,1003,1005,1006,1018,1052,1053,
1075,1077,1079,1080,1083,1086,1087,1088,1094,1095,1101,1111,1112,1117,1124,
1125,1127,1128,1144,1152,1173,1175,1177,1184,1185,1191,1192,1226,1230,1254,
1255,1259,1288,1289,1292,1322,1338,1340,1358,1361,1363,1364,1368,1402,1423,
1439,1453,1483],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,24,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,
57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,77,82,83,84,85,86,87,88,89,91,93,
94,95,96,97,105,109,110,111,112,113,114,115,116,117,119,120,121,122,123,124,
125,128,129,130,131,132,136,137,138,139,143,145,146,150,154,155,157,158,159,
160,161,162,164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,183,
187,188,189,190,192,193,195,196,197,202,203,204,205,206,208,209,210,211,212,
213,214,215,216,218,221,223,225,227,228,241,252,254,258,259,260,261,262,263,
271,272,273,274,275,276,278,279,280,281,283,285,289,290,292,302,305,306,307,
308,309,310,312,313,314,315,316,317,318,319,322,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,347,348,349,350,355,356,
357,358,359,360,361,368,371,372,378,379,381,382,383,384,385,386,387,388,389,
390,391,394,395,396,398,399,403,404,405,408,411,416,417,418,419,420,421,431,
432,436,437,438,442,450,451,452,453,454,455,457,458,460,462,464,465,473,474,
475,476,488,489,490,491,492,493,497,499,519,520,521,532,533,534,535,536,538,
539,540,541,542,544,545,546,549,550,554,555,556,557,558,559,564,565,574,575,
580,596,597,618,619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,
642,643,645,646,650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,
695,696,697,698,699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,
749,751,752,757,758,762,765,766,767,783,784,799,800,801,802,829,833,846,851,
860,861,862,863,865,867,870,872,876,877,878,883,905,909,935,936,937,938,947,
948,960,961,962,966,967,982,983,984,993,994,995,996,1004,1009,1010,1017,1054,
1055,1056,1076,1078,1080,1081,1082,1084,1085,1089,1090,1099,1100,1102,1109,
1110,1115,1122,1123,1126,1128,1143,1151,1174,1175,1176,1182,1183,1195,1196,
1227,1232,1253,1256,1258,1287,1290,1291,1323,1339,1341,1359,1360,1362,1365,
1367,1401,1424,1440,1452,1484],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,
22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,77,82,84,85,
86,87,88,92,93,95,98,101,104,108,109,111,112,113,115,116,117,118,119,120,121,
122,123,125,126,127,130,131,132,133,134,137,140,141,144,147,148,149,154,155,
156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,177,
179,180,181,183,184,185,186,187,190,191,192,194,195,196,197,198,199,201,202,
203,204,205,207,208,209,211,214,215,216,217,219,220,223,224,226,229,239,253,
257,264,268,271,272,273,274,276,278,280,283,285,287,301,305,306,307,308,310,
311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,332,333,334,335,
336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,356,357,358,359,
362,364,365,366,367,369,370,374,375,376,377,380,383,385,386,387,388,389,390,
391,392,393,395,396,397,400,401,406,407,409,410,414,415,422,423,425,428,430,
433,434,435,439,442,443,445,447,448,449,451,457,460,461,463,466,470,471,472,
477,478,481,482,483,484,485,486,498,500,519,520,529,532,533,534,535,537,539,
541,542,544,545,546,567,569,570,577,581,618,619,620,623,626,627,628,629,630,
633,634,635,636,637,638,639,640,641,647,648,649,652,655,656,657,659,660,661,
664,665,666,668,674,675,679,681,685,688,691,692,693,701,711,713,720,723,724,
725,729,730,735,736,741,745,746,750,753,759,760,761,764,768,769,785,786,795,
796,797,798,831,832,848,849,855,857,860,861,862,871,874,876,878,879,881,906,
933,934,937,938,949,950,955,956,958,963,965,982,985,986,989,991,998,1001,1003,
1005,1006,1018,1054,1056,1075,1076,1080,1081,1082,1088,1092,1093,1101,1117,
1134,1136,1149,1173,1175,1177,1184,1185,1191,1192,1228,1249,1250,1253,1254,
1257,1292,1322,1337,1339,1361,1362,1363,1366,1368,1371,1372,1403,1406,1422,
1439,1451,1485],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,24,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,55,56,
57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,77,82,84,85,86,87,88,93,94,95,96,
97,105,109,110,111,112,113,114,115,116,117,119,120,121,122,123,124,125,128,
129,130,131,132,136,137,138,139,143,145,146,150,154,155,157,158,159,160,161,
162,164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,183,187,188,
189,190,192,193,195,196,197,202,203,204,205,206,208,209,210,211,212,213,214,
215,216,218,221,223,225,227,228,241,252,255,258,262,271,272,273,274,276,278,
280,283,285,289,302,305,306,307,308,309,310,312,313,314,315,316,317,318,319,
322,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,
343,344,347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,379,381,
382,383,384,385,386,387,388,389,390,391,394,395,396,398,399,403,404,405,408,
411,416,417,418,419,420,421,431,432,436,437,438,442,450,451,452,453,454,455,
457,458,460,462,464,465,473,474,475,476,488,489,490,491,492,493,497,499,519,
520,529,532,533,534,535,539,540,541,542,544,545,546,554,555,558,575,580,618,
619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,642,643,645,646,
650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,695,696,697,698,
699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,749,751,752,757,
758,762,765,766,767,783,784,799,800,801,802,829,834,846,847,851,853,860,861,
862,872,874,876,878,879,881,905,935,936,937,938,947,948,960,961,962,966,967,
982,983,984,993,994,995,996,1004,1009,1010,1017,1054,1056,1075,1076,1080,1081,
1082,1090,1099,1100,1102,1115,1137,1138,1149,1174,1175,1176,1182,1183,1195,
1196,1227,1251,1252,1253,1254,1256,1291,1323,1337,1339,1360,1362,1363,1366,
1367,1373,1374,1401,1405,1421,1440,1451,1486],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,20,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,82,83,86,90,91,92,96,102,108,109,110,111,112,113,117,118,119,120,121,122,
123,124,125,126,127,130,131,132,133,134,136,137,139,140,141,143,144,145,146,
147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,174,175,176,177,178,179,180,181,185,186,187,188,189,190,191,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,221,223,224,226,227,228,229,230,231,232,233,234,235,236,237,252,
259,262,263,267,275,276,277,278,279,282,283,284,291,292,293,305,306,307,309,
310,311,312,313,314,315,316,317,320,321,322,325,326,327,328,329,330,331,332,
333,334,335,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,
367,368,369,370,371,372,374,375,376,377,378,379,380,386,387,388,389,390,391,
394,395,396,397,398,400,401,403,406,407,408,409,410,414,415,416,417,418,419,
422,423,424,425,426,428,430,431,433,434,435,436,437,439,450,451,452,453,454,
455,456,464,465,466,467,468,469,470,471,472,473,474,475,477,478,481,482,483,
484,485,486,487,488,489,490,491,492,497,498,500,502,503,504,505,506,507,508,
509,510,511,512,513,514,515,516,518,529,530,531,533,537,543,547,548,551,558,
559,564,575,576,583,584,585,586,590,592,594,598,599,618,620,623,629,630,631,
632,633,634,635,636,637,640,641,643,650,651,652,655,656,659,660,664,665,666,
667,668,670,671,672,674,675,677,678,679,680,681,682,698,699,700,701,702,707,
708,709,715,716,717,718,719,731,732,733,735,736,739,740,741,749,750,752,753,
755,756,757,759,760,761,762,764,768,769,770,771,772,773,774,775,782,785,786,
787,788,789,790,791,792,793,794,795,796,797,798,799,800,804,806,809,813,814,
815,819,820,823,824,836,851,852,853,854,859,860,864,865,874,875,879,882,890,
897,898,900,910,912,913,936,937,939,945,946,949,950,962,967,968,969,970,971,
984,985,986,988,993,1002,1003,1004,1009,1011,1012,1013,1016,1018,1019,1020,
1021,1024,1025,1026,1032,1035,1039,1040,1042,1045,1049,1050,1051,1052,1053,
1075,1077,1079,1083,1086,1087,1088,1096,1099,1101,1104,1106,1111,1112,1118,
1121,1126,1130,1137,1140,1144,1145,1146,1152,1154,1156,1173,1181,1186,1195,
1198,1201,1203,1214,1215,1216,1219,1220,1224,1252,1254,1259,1264,1265,1275,
1280,1281,1302,1303,1306,1307,1313,1327,1338,1340,1358,1361,1364,1373,1376,
1378,1379,1400,1408,1428,1437,1443,1453,1487],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,77,82,83,84,85,86,87,88,89,91,93,94,95,98,99,100,102,103,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,127,128,129,
130,131,132,133,134,136,137,138,139,141,143,144,145,146,147,148,149,150,153,
154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,
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,
213,214,216,217,219,220,223,225,226,227,228,229,230,231,232,233,234,235,236,
238,255,256,257,258,264,265,266,268,269,270,271,272,273,274,275,276,278,279,
280,281,283,285,290,292,294,295,296,306,307,308,309,310,312,313,314,315,316,
317,318,320,321,322,324,325,326,329,330,332,333,334,336,337,338,339,340,341,
342,343,345,347,348,349,350,351,352,353,358,359,360,362,363,364,365,366,367,
369,370,371,372,375,376,377,378,379,380,381,382,383,384,385,386,387,388,391,
392,393,395,396,397,398,399,401,403,404,405,408,410,411,414,416,417,418,419,
420,421,422,424,425,427,428,431,432,433,434,435,436,437,438,443,444,445,446,
448,449,450,459,460,461,462,463,466,468,471,473,474,475,476,477,478,481,483,
484,485,486,488,489,490,491,492,493,496,497,499,500,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,516,519,520,521,532,533,534,535,536,538,539,
540,541,542,544,546,549,550,552,560,562,563,567,568,570,571,573,583,584,585,
586,587,588,589,591,593,595,596,597,619,621,622,624,626,627,628,630,631,633,
634,638,639,641,642,643,646,648,649,652,653,654,658,661,662,663,665,666,669,
670,671,672,673,674,683,684,685,689,690,691,693,694,695,701,703,705,706,709,
710,713,720,722,724,728,729,730,736,737,739,743,746,747,750,751,752,755,756,
757,758,759,760,762,765,766,767,770,776,777,778,779,780,781,783,784,787,788,
789,790,791,792,793,794,795,798,799,800,801,802,805,807,809,813,814,815,816,
817,821,822,837,838,839,847,849,855,856,857,858,860,861,862,863,865,876,877,
878,883,888,889,891,893,894,895,896,899,909,911,914,934,938,940,941,944,947,
948,958,964,965,972,973,975,983,984,985,988,991,996,999,1001,1005,1011,1012,
1014,1015,1017,1019,1020,1022,1023,1027,1028,1033,1034,1037,1038,1043,1044,
1047,1048,1051,1054,1055,1056,1076,1078,1080,1082,1084,1085,1089,1090,1091,
1092,1098,1102,1104,1105,1109,1110,1119,1120,1121,1125,1129,1134,1135,1143,
1147,1148,1151,1153,1155,1174,1178,1187,1192,1200,1202,1203,1212,1213,1217,
1218,1221,1222,1223,1250,1253,1258,1263,1266,1276,1277,1279,1282,1304,1305,
1308,1309,1312,1326,1339,1341,1359,1360,1365,1372,1375,1377,1380,1399,1409,
1427,1438,1442,1452,1488],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,23,
24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,74,75,77,82,84,85,86,87,
88,93,95,99,100,102,103,109,111,112,113,114,115,116,117,118,119,120,121,122,
123,125,127,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,
199,200,201,202,203,204,205,206,207,208,209,211,213,214,215,216,217,219,220,
222,223,224,225,230,231,232,238,255,257,258,264,265,268,269,271,272,273,274,
276,278,280,283,285,294,296,305,306,307,308,310,312,313,314,315,316,317,318,
319,320,321,322,323,324,326,327,328,329,330,331,332,333,334,335,336,338,339,
340,341,342,343,344,345,348,349,351,354,355,356,357,358,359,362,363,364,365,
366,367,373,375,376,377,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,395,399,400,402,412,413,424,426,427,429,440,442,443,444,446,447,450,452,
456,458,459,466,467,468,469,479,480,487,494,495,496,501,502,503,504,505,506,
511,519,520,529,532,533,534,535,539,541,542,544,545,546,560,561,562,563,568,
573,584,585,587,588,589,591,618,619,624,625,626,627,628,630,633,634,635,636,
637,638,639,644,645,646,648,649,652,657,660,661,667,669,676,677,678,680,682,
683,684,686,687,689,690,701,714,721,722,723,726,727,731,738,740,742,743,744,
754,755,756,763,770,772,773,775,776,777,778,780,782,803,825,826,837,839,846,
847,849,855,856,857,860,861,862,874,876,878,879,881,889,892,894,895,896,899,
934,935,937,938,957,959,964,968,982,987,988,990,992,997,999,1000,1002,1007,
1008,1013,1014,1015,1016,1036,1054,1056,1075,1076,1080,1081,1082,1091,1097,
1098,1119,1120,1121,1132,1133,1142,1145,1147,1149,1150,1175,1193,1194,1197,
1201,1202,1207,1221,1223,1250,1251,1253,1254,1277,1278,1279,1314,1335,1337,
1339,1362,1363,1366,1369,1370,1375,1376,1398,1399,1431,1432,1441,1451,1489],[
1,2,4,10,11,16,18,20,23,26,32,33,52,55,63,70,72,73,75,76,78,86,90,91,92,96,
102,108,109,141,144,170,189,191,208,221,228,231,234,235,237,260,262,263,267,
278,281,290,293,335,346,361,398,434,454,455,456,503,509,512,517,518,530,531,
537,551,558,574,585,593,613,614,620,715,733,771,772,791,820,836,843,852,854,
863,898,912,1042,1052,1064,1077,1105,1107,1123,1220,1245,1246,1265,1301,1345,
1390,1392,1490],[1,2,4,10,11,16,18,20,23,26,32,33,52,55,63,70,72,73,75,76,78,
86,90,91,92,96,102,107,108,109,141,144,170,189,191,208,221,228,231,234,235,
237,240,245,262,263,267,278,284,291,293,304,335,346,361,398,434,454,455,456,
503,509,512,518,522,529,530,531,537,543,551,558,576,585,590,592,594,599,613,
614,616,620,715,733,771,772,791,820,836,843,852,853,854,874,875,898,900,912,
913,928,929,1042,1052,1053,1064,1073,1077,1083,1087,1088,1137,1140,1145,1146,
1166,1220,1224,1229,1238,1247,1265,1303,1306,1307,1317,1340,1342,1390,1393,
1408,1448,1467,1491],[1,2,4,10,11,16,18,20,23,26,32,33,52,55,63,70,72,73,75,
76,78,86,90,91,92,96,102,107,108,109,141,144,170,189,191,208,221,228,231,234,
235,237,240,245,260,262,263,267,278,281,284,291,293,304,335,346,361,398,434,
454,455,456,503,509,512,518,522,529,530,531,537,543,551,558,574,576,585,590,
592,594,599,613,616,620,715,733,771,772,791,820,836,842,845,852,853,854,874,
875,880,898,900,912,913,928,1042,1052,1053,1062,1073,1077,1083,1087,1088,1137,
1139,1140,1145,1146,1165,1220,1224,1225,1226,1236,1247,1265,1303,1306,1307,
1318,1340,1343,1389,1394,1408,1447,1466,1492],[1,3,5,7,8,17,22,24,51,81,88,89,
98,99,105,250,251,269,270,297,1172,1493],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,
48,49,52,53,55,56,57,58,60,62,63,64,65,66,70,71,72,76,77,82,84,86,87,90,91,92,
93,95,96,97,98,100,101,102,104,109,110,111,112,113,117,119,120,121,122,123,
124,125,130,131,132,136,137,139,143,145,146,150,154,155,157,158,159,160,162,
164,166,167,168,169,170,175,176,177,178,179,180,181,187,188,189,190,196,197,
202,203,205,208,209,210,211,212,213,214,215,216,218,221,227,228,237,239,240,
252,253,257,260,261,262,263,264,266,267,271,273,276,278,279,280,281,282,283,
284,287,288,289,293,294,298,300,301,303,305,306,307,309,310,312,313,314,315,
316,317,322,325,326,327,328,329,330,332,333,334,335,347,348,349,350,355,356,
357,358,359,360,361,368,371,372,378,379,386,387,388,389,390,391,394,395,398,
403,408,416,417,418,419,431,436,437,453,454,455,464,465,473,474,475,488,489,
490,491,492,497,518,520,522,529,531,532,533,543,544,545,548,549,552,553,556,
557,558,564,567,569,570,574,575,576,577,578,582,586,590,601,603,605,618,631,
632,633,634,635,636,637,643,650,651,660,670,671,672,698,699,700,701,717,718,
719,733,739,749,752,757,762,799,800,828,831,835,836,845,848,849,850,851,853,
854,859,860,861,870,871,873,874,879,880,884,890,891,900,901,908,917,936,937,
962,967,984,993,1004,1009,1053,1054,1057,1075,1079,1081,1092,1093,1094,1095,
1096,1099,1103,1116,1118,1137,1139,1141,1157,1195,1224,1225,1226,1228,1252,
1254,1255,1257,1260,1280,1283,1284,1293,1296,1337,1338,1343,1373,1381,1400,
1402,1403,1404,1444,1454,1472,1473,1494],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,56,57,58,59,60,62,63,64,65,66,67,68,69,71,74,76,77,82,
84,86,87,90,91,92,94,95,97,98,99,100,101,103,105,109,111,112,113,114,117,118,
119,120,121,122,123,125,128,129,130,131,132,133,134,135,137,142,151,152,153,
154,155,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,
175,176,177,179,180,181,182,183,184,185,187,190,193,195,196,197,199,200,202,
203,204,206,208,213,215,216,220,222,223,224,225,238,239,240,241,253,255,257,
258,260,261,264,266,268,271,273,276,278,279,280,282,283,284,286,287,288,295,
296,297,299,302,303,305,306,307,310,312,313,314,315,316,317,318,319,320,322,
323,324,326,327,328,329,330,331,334,335,338,343,344,354,355,356,357,358,359,
362,363,365,373,375,381,382,384,386,389,390,391,392,395,399,400,402,412,413,
424,426,427,429,440,443,444,446,447,459,466,467,468,479,480,487,494,495,496,
501,518,520,523,529,531,532,533,540,543,544,545,548,552,553,556,560,561,562,
567,569,570,573,577,578,580,587,589,602,603,604,618,624,625,633,635,636,637,
638,644,645,646,660,667,669,676,683,684,686,689,690,701,721,723,727,731,738,
743,744,754,763,803,828,831,834,839,845,846,847,848,849,850,855,859,860,861,
868,871,873,874,876,879,886,892,893,895,904,905,918,935,937,959,964,987,990,
999,1000,1007,1053,1054,1059,1075,1079,1081,1091,1092,1093,1094,1095,1097,
1102,1115,1119,1132,1133,1136,1159,1193,1221,1226,1227,1228,1251,1254,1255,
1257,1262,1278,1282,1286,1291,1295,1337,1338,1344,1369,1383,1398,1402,1403,
1405,1444,1455,1472,1474,1495],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,24,26,27,28,29,30,31,33,35,36,37,39,40,42,43,44,45,46,47,48,49,52,53,
56,57,58,60,62,63,64,65,66,68,69,71,76,77,82,84,86,87,90,91,92,95,97,98,100,
101,104,109,111,112,113,117,119,120,121,122,123,125,126,130,131,132,134,137,
154,155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,
190,194,196,197,198,199,202,204,208,215,216,219,239,240,253,257,260,261,264,
266,271,273,276,278,279,280,282,283,284,287,288,303,305,306,307,310,312,313,
314,315,316,317,322,326,327,328,329,334,335,355,356,357,358,359,374,375,386,
389,390,391,393,395,445,447,448,460,461,470,518,520,529,531,532,533,543,544,
545,548,552,553,556,567,569,570,577,578,581,603,618,633,635,636,637,647,648,
660,679,685,691,692,701,828,831,845,848,849,850,859,860,861,871,873,874,879,
916,937,963,965,1053,1054,1075,1079,1081,1092,1093,1094,1095,1117,1177,1226,
1228,1254,1255,1257,1337,1338,1368,1402,1403,1444,1472,1496],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,78,79,80,90,91,92,93,96,97,100,102,104,108,109,110,111,
112,113,117,118,119,120,121,122,123,124,125,126,127,130,131,132,133,134,136,
137,139,140,141,143,144,145,146,147,148,149,150,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,174,175,176,177,178,179,180,181,
185,186,187,188,189,190,191,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,221,223,224,226,227,228,229,230,
231,232,233,234,235,236,242,243,244,245,246,260,261,263,266,267,279,281,282,
284,288,289,293,294,298,300,301,305,306,307,309,310,311,312,313,314,315,316,
317,320,321,322,325,326,327,328,329,330,331,332,333,334,335,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,367,368,369,370,371,372,374,
375,376,377,378,379,380,386,387,388,389,390,391,394,395,396,397,398,400,401,
403,406,407,408,409,410,414,415,416,417,418,419,422,423,424,425,426,428,430,
431,433,434,435,436,437,439,450,451,452,453,454,455,456,464,465,466,467,468,
469,470,471,472,473,474,475,477,478,481,482,483,484,485,486,487,488,489,490,
491,492,497,498,500,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,524,525,526,530,531,543,548,549,551,552,553,556,557,564,574,576,578,582,
586,590,601,613,618,620,623,629,630,631,632,633,634,635,636,637,640,641,643,
650,651,652,655,656,659,660,664,665,666,667,668,670,671,672,674,675,677,678,
679,680,681,682,698,699,700,701,702,707,708,709,715,716,717,718,719,731,732,
733,735,736,739,740,741,749,750,752,753,755,756,757,759,760,761,762,764,768,
769,770,771,772,773,774,775,782,785,786,787,788,789,790,791,792,793,794,795,
796,797,798,799,800,804,806,809,813,814,815,819,820,823,824,842,844,845,850,
852,854,859,870,873,875,880,882,884,890,891,900,901,908,910,912,928,936,937,
939,945,946,949,950,962,967,968,969,970,971,984,985,986,988,993,1002,1003,
1004,1009,1011,1012,1013,1016,1018,1019,1020,1021,1024,1025,1026,1032,1035,
1039,1040,1042,1045,1049,1050,1051,1062,1063,1065,1077,1079,1087,1094,1095,
1096,1103,1116,1118,1139,1140,1141,1146,1152,1154,1156,1157,1173,1181,1186,
1195,1198,1201,1203,1214,1215,1216,1219,1233,1234,1235,1236,1237,1255,1259,
1260,1265,1280,1283,1284,1293,1296,1306,1313,1327,1348,1349,1350,1364,1378,
1379,1381,1389,1410,1443,1445,1447,1476,1477,1478,1497],[1,2,3,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,71,74,75,78,79,80,84,85,87,88,94,95,98,99,101,103,105,109,111,112,113,114,
115,116,117,118,119,120,121,122,123,125,127,128,129,130,131,132,133,134,135,
137,142,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,179,180,181,182,183,184,185,186,187,
190,191,192,193,194,195,196,197,199,200,201,202,203,204,205,206,207,208,209,
211,213,214,215,216,217,219,220,222,223,224,225,230,231,232,242,243,244,245,
246,253,257,264,265,268,269,271,272,273,274,280,285,286,287,295,296,297,299,
302,305,306,307,308,310,312,313,314,315,316,317,318,319,320,321,322,323,324,
326,327,328,329,330,331,332,333,334,335,336,338,339,340,341,342,343,344,345,
348,349,351,354,355,356,357,358,359,362,363,364,365,366,367,373,375,376,377,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,395,399,400,402,412,
413,424,426,427,429,440,442,443,444,446,447,450,452,456,458,459,466,467,468,
469,479,480,487,494,495,496,501,502,503,504,505,506,511,524,525,526,532,534,
540,541,542,544,545,561,562,563,567,568,569,570,577,580,587,588,589,591,602,
610,611,618,619,624,625,626,627,628,630,633,634,635,636,637,638,639,644,645,
646,648,649,652,657,660,661,667,669,676,677,678,680,682,683,684,686,687,689,
690,701,714,721,722,723,726,727,731,738,740,742,743,744,754,755,756,763,770,
772,773,775,776,777,778,780,782,803,825,826,842,844,848,849,855,856,861,862,
868,871,876,881,886,892,893,894,895,896,904,905,922,923,924,925,926,934,935,
937,938,957,959,964,968,982,987,988,990,992,997,999,1000,1002,1007,1008,1013,
1014,1015,1016,1036,1062,1063,1065,1081,1082,1092,1093,1097,1098,1102,1115,
1119,1120,1133,1136,1142,1149,1150,1159,1163,1164,1167,1168,1169,1170,1175,
1193,1194,1197,1201,1202,1207,1233,1234,1235,1236,1237,1257,1262,1278,1279,
1282,1286,1291,1295,1314,1319,1320,1335,1348,1349,1350,1366,1383,1410,1441,
1475,1498],[1,2,4,11,16,18,20,23,55,73,75,76,78,81,91,96,235,237,240,245,263,
291,517,522,594,606,614,827,840,841,929,1061,1245,1351,1357,1499],[1,2,3,4,5,
6,8,9,10,12,13,14,15,19,23,24,25,26,28,29,30,34,35,36,39,40,42,45,46,48,62,77,
82,84,85,86,87,88,92,93,95,104,106,108,111,115,116,117,119,120,123,126,156,
167,198,202,239,247,248,249,253,272,273,274,276,278,283,285,301,307,308,311,
327,352,374,519,520,527,528,532,533,534,535,537,539,541,542,544,546,581,607,
609,617,619,629,647,832,848,860,862,879,906,920,931,933,1054,1056,1070,1072,
1076,1080,1082,1101,1117,1228,1240,1249,1292,1316,1339,1387,1406,1413,1414,
1415,1458,1462,1480,1500],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,
22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
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,
75,77,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
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,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,238,239,241,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,285,286,287,288,289,290,292,
293,294,295,296,297,298,299,300,301,302,305,306,307,308,309,310,311,312,313,
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,
504,505,506,507,508,509,510,511,512,513,514,515,516,519,520,521,523,532,533,
534,535,536,537,538,539,540,541,542,544,545,546,547,548,549,550,552,553,554,
555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,577,578,579,580,581,582,583,584,585,586,587,588,589,591,593,595,596,
597,598,600,601,602,618,619,620,621,622,623,624,625,626,627,628,629,630,631,
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,
822,823,824,825,826,829,830,832,833,837,838,839,846,847,848,849,851,855,856,
857,858,860,861,862,863,865,866,867,868,869,870,871,872,873,876,877,878,879,
883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,901,902,
903,904,905,906,907,908,909,911,914,915,932,933,934,935,936,937,938,939,940,
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,
1044,1045,1046,1047,1048,1049,1050,1051,1054,1055,1056,1058,1060,1076,1078,
1080,1081,1082,1084,1085,1089,1090,1091,1092,1093,1097,1098,1099,1100,1101,
1102,1104,1105,1107,1109,1110,1112,1113,1115,1117,1119,1120,1121,1122,1123,
1125,1126,1128,1129,1131,1132,1133,1134,1135,1136,1138,1143,1147,1148,1151,
1153,1155,1157,1158,1159,1160,1173,1174,1175,1176,1177,1178,1179,1180,1181,
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,
1212,1213,1214,1215,1216,1217,1218,1219,1221,1222,1223,1227,1228,1231,1232,
1249,1250,1253,1256,1257,1258,1261,1262,1263,1264,1266,1267,1268,1270,1272,
1274,1276,1277,1278,1279,1281,1282,1285,1286,1287,1288,1290,1291,1292,1294,
1295,1297,1299,1301,1304,1305,1308,1309,1310,1312,1322,1323,1324,1325,1326,
1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1339,1341,1344,1347,1359,
1360,1362,1365,1367,1370,1371,1372,1375,1377,1380,1382,1383,1384,1386,1396,
1399,1401,1406,1409,1422,1424,1425,1427,1429,1432,1434,1436,1438,1440,1442,
1452,1456,1469,1471,1482,1484,1488,1501],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,17,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
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,
73,74,75,76,82,83,86,90,91,92,93,96,97,100,102,104,108,109,110,111,112,113,
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,
228,229,230,231,232,233,234,235,236,237,240,252,254,255,256,258,259,260,261,
262,263,266,267,275,276,277,278,279,281,282,283,284,288,289,291,292,293,294,
298,300,301,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
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,
511,512,513,514,515,516,518,522,529,530,531,533,537,538,539,543,546,547,548,
549,551,552,553,554,555,556,557,558,559,560,564,565,566,571,572,573,574,575,
576,578,579,581,582,583,584,585,586,590,592,594,597,598,599,600,601,618,619,
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,
810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,828,835,
836,845,846,847,850,851,852,853,854,859,860,864,865,866,867,869,870,872,873,
874,875,879,880,882,884,885,887,888,889,890,891,897,898,899,900,901,902,903,
906,907,908,910,912,913,915,932,933,934,935,936,937,938,939,940,941,942,943,
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,
1046,1047,1048,1049,1050,1051,1052,1053,1057,1075,1077,1079,1080,1083,1086,
1087,1088,1091,1094,1095,1096,1099,1100,1101,1103,1104,1106,1108,1110,1111,
1112,1114,1116,1117,1118,1121,1124,1125,1126,1127,1128,1130,1131,1132,1137,
1138,1139,1140,1141,1144,1145,1146,1152,1154,1156,1157,1158,1160,1173,1174,
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,
1220,1224,1225,1226,1230,1251,1252,1254,1255,1256,1259,1260,1261,1263,1264,
1265,1267,1269,1271,1273,1274,1275,1277,1280,1281,1283,1284,1285,1288,1289,
1290,1292,1293,1294,1296,1297,1298,1300,1302,1303,1306,1307,1311,1313,1322,
1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1338,
1340,1343,1346,1358,1361,1363,1364,1368,1369,1373,1374,1376,1378,1379,1381,
1382,1384,1385,1396,1400,1402,1404,1408,1421,1423,1426,1428,1430,1431,1433,
1435,1437,1439,1443,1453,1454,1468,1470,1481,1483,1487,1502],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,
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,
63,64,65,66,67,68,69,70,71,72,73,74,75,77,82,84,85,86,87,88,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,108,109,110,111,112,113,114,115,116,117,118,119,
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,
234,235,236,238,239,241,252,253,255,257,258,262,264,265,268,269,271,272,273,
274,276,278,280,283,285,286,287,288,289,293,294,295,296,297,298,299,300,301,
302,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
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,
513,514,515,516,519,520,523,529,532,533,534,535,537,539,540,541,542,544,545,
546,554,555,558,560,561,562,563,567,568,569,570,573,575,577,580,581,584,585,
587,588,589,591,601,602,618,619,620,621,622,623,624,625,626,627,628,629,630,
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,
821,822,823,824,825,826,829,831,832,834,837,839,846,847,848,849,851,853,855,
856,857,860,861,862,866,868,871,872,874,876,878,879,881,886,887,889,892,893,
894,895,896,898,899,902,904,905,906,932,933,934,935,936,937,938,939,940,941,
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,
1044,1045,1046,1047,1048,1049,1050,1051,1054,1056,1059,1060,1075,1076,1080,
1081,1082,1088,1090,1091,1092,1093,1097,1098,1099,1100,1101,1102,1115,1117,
1119,1120,1121,1132,1133,1134,1136,1137,1138,1142,1145,1147,1149,1150,1158,
1159,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,
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,
1217,1218,1219,1221,1223,1227,1228,1249,1250,1251,1252,1253,1254,1256,1257,
1261,1262,1277,1278,1279,1281,1282,1285,1286,1291,1292,1294,1295,1307,1309,
1314,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1339,1344,1360,1361,1362,1363,1366,1367,1368,1369,1370,1371,1372,
1373,1374,1375,1376,1382,1383,1396,1398,1399,1401,1403,1405,1406,1421,1422,
1425,1426,1429,1430,1431,1432,1435,1436,1437,1438,1439,1440,1441,1451,1455,
1456,1470,1471,1485,1486,1489,1503],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,
49,50,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,74,82,83,86,91,93,
96,97,109,110,111,112,113,114,115,116,117,119,120,121,122,123,124,125,128,129,
130,131,132,136,137,138,139,143,145,146,150,154,155,157,158,159,160,161,162,
164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,183,187,188,189,
190,192,193,195,196,197,202,203,204,205,206,208,209,210,211,212,213,214,215,
216,218,221,223,225,227,228,247,252,254,255,258,259,260,261,262,263,275,276,
278,279,281,283,289,290,292,305,306,307,308,309,310,312,313,314,315,316,317,
318,319,322,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,347,348,349,350,355,356,357,358,359,360,361,368,371,372,378,
379,381,382,383,384,385,386,387,388,389,390,391,394,395,396,398,399,403,404,
405,408,411,416,417,418,419,420,421,431,432,436,437,438,442,450,451,452,453,
454,455,457,458,460,462,464,465,473,474,475,476,488,489,490,491,492,493,497,
499,529,533,538,539,546,549,554,555,556,557,558,559,564,565,574,575,596,597,
607,609,618,619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,642,
643,645,646,650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,695,
696,697,698,699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,749,
751,752,757,758,762,765,766,767,783,784,799,800,801,802,846,847,851,853,860,
863,865,867,870,872,874,879,935,936,937,938,947,948,960,961,962,966,967,982,
983,984,993,994,995,996,1004,1009,1010,1017,1066,1068,1070,1075,1080,1084,
1085,1099,1100,1109,1110,1122,1123,1126,1128,1137,1138,1143,1174,1175,1176,
1182,1183,1195,1196,1251,1252,1254,1256,1287,1290,1316,1323,1359,1363,1373,
1374,1414,1417,1418,1421,1424,1504],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,
19,22,23,24,26,27,28,29,30,31,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,52,
53,56,57,58,60,62,63,64,65,66,71,77,78,79,80,82,84,85,86,87,88,93,95,98,101,
107,109,111,112,113,115,116,117,119,120,121,122,123,125,130,131,132,137,154,
155,157,158,159,160,162,164,166,167,168,169,170,176,177,179,180,181,187,190,
192,196,197,202,203,205,208,209,211,214,215,216,239,242,243,244,253,257,264,
271,272,273,274,276,278,280,283,285,287,304,305,306,307,308,310,312,313,314,
315,316,317,322,326,327,328,329,332,333,334,335,336,338,339,340,341,342,348,
349,355,356,357,358,359,383,385,386,387,388,389,390,391,395,442,519,520,524,
529,532,533,534,535,539,541,542,544,545,546,567,569,570,577,610,611,615,618,
619,626,627,628,633,634,635,636,637,657,660,661,701,831,842,848,849,860,861,
862,871,874,876,878,879,881,922,923,924,930,937,938,982,1054,1056,1062,1063,
1065,1074,1075,1076,1080,1081,1082,1092,1093,1149,1163,1164,1165,1175,1228,
1233,1234,1235,1253,1254,1257,1318,1337,1339,1348,1356,1362,1363,1366,1391,
1403,1446,1451,1475,1505],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,
26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,56,
57,58,60,61,62,63,64,65,66,67,71,73,74,76,78,79,80,82,83,86,90,91,92,97,100,
107,108,109,111,112,113,117,118,119,120,121,122,123,125,126,127,130,131,132,
133,137,140,141,144,147,148,149,154,155,156,157,158,159,160,161,162,163,164,
166,167,168,169,170,174,176,177,179,180,181,185,186,187,190,191,196,197,198,
202,208,215,216,217,223,224,226,229,240,242,243,244,260,261,266,275,276,277,
278,279,282,283,284,288,291,292,304,305,306,307,310,311,312,313,314,315,316,
317,320,321,322,326,327,328,329,334,335,346,351,352,353,355,356,357,358,359,
367,369,370,374,376,380,386,389,390,391,395,396,397,400,401,406,407,409,410,
414,415,422,423,425,428,430,433,434,435,439,471,472,477,478,481,482,483,484,
485,486,498,500,518,524,529,530,531,533,537,543,547,548,551,552,553,556,578,
598,599,613,615,618,620,623,629,630,633,635,636,637,640,641,655,656,659,660,
664,665,666,668,674,675,701,735,736,750,753,759,760,761,764,768,769,785,786,
795,796,797,798,828,842,845,850,859,860,864,865,873,874,875,879,882,910,930,
937,949,950,985,986,1018,1052,1053,1062,1063,1065,1073,1075,1077,1079,1083,
1086,1087,1088,1094,1095,1101,1111,1112,1144,1152,1165,1173,1226,1233,1234,
1235,1254,1255,1259,1318,1338,1340,1348,1358,1361,1364,1389,1391,1402,1445,
1446,1453,1466,1476,1506],[1,2,3,4,9,10,11,12,13,14,15,16,18,20,21,23,26,31,
32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,60,61,62,63,65,70,71,72,73,
75,76,78,86,90,91,92,93,96,97,100,102,104,108,109,110,117,121,122,126,127,132,
136,137,139,141,144,147,148,149,156,167,168,169,170,174,178,179,180,181,187,
188,189,190,191,196,197,208,215,216,217,218,221,226,227,228,229,230,231,232,
233,234,235,236,237,240,245,252,258,260,261,262,263,267,278,279,281,282,283,
284,288,289,290,293,294,298,300,301,305,311,322,325,326,335,346,355,356,357,
358,359,361,367,368,369,370,380,390,391,394,398,403,406,407,408,410,414,415,
428,433,434,435,454,455,456,464,465,471,472,481,482,483,484,500,502,503,505,
507,509,512,513,514,515,516,517,518,522,530,531,537,546,549,551,554,555,556,
557,558,560,564,574,575,576,581,585,593,595,596,601,613,614,620,632,637,643,
656,668,677,699,700,702,715,717,718,719,733,750,755,761,764,771,772,782,786,
788,789,791,794,795,804,813,815,820,824,828,835,836,840,843,852,854,859,863,
866,870,872,875,882,887,898,899,902,906,910,912,914,928,929,939,949,993,1016,
1020,1021,1025,1032,1040,1042,1050,1052,1057,1064,1077,1096,1105,1107,1109,
1113,1122,1123,1129,1140,1154,1158,1216,1220,1229,1230,1238,1245,1246,1259,
1265,1268,1270,1272,1276,1287,1299,1301,1342,1345,1346,1353,1354,1379,1386,
1390,1392,1407,1448,1449,1490,1507],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,
76,77,82,84,86,87,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,109,
110,111,112,113,114,117,118,119,120,121,122,123,124,125,126,128,129,130,131,
132,133,134,135,136,137,139,142,143,145,146,148,150,151,152,153,154,155,156,
157,158,159,160,161,162,164,165,166,167,168,169,170,171,172,173,175,176,177,
178,179,180,181,182,183,184,185,187,188,189,190,193,194,195,196,197,198,199,
200,202,203,204,205,206,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,227,228,237,238,239,240,241,252,253,255,257,258,260,261,
262,263,264,266,267,268,271,273,276,278,279,280,281,282,283,284,286,287,288,
289,293,294,295,296,297,298,299,300,301,302,303,305,306,307,309,310,312,313,
314,315,316,317,318,319,320,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,338,343,344,347,348,349,350,353,354,355,356,357,358,359,360,361,362,
363,365,368,371,372,373,374,375,378,379,381,382,384,386,387,388,389,390,391,
392,393,394,395,398,399,400,402,403,408,412,413,416,417,418,419,422,423,424,
426,427,429,431,436,437,440,443,444,445,446,447,448,453,454,455,457,458,459,
460,461,464,465,466,467,468,469,470,473,474,475,479,480,482,487,488,489,490,
491,492,494,495,496,497,501,518,520,522,523,529,531,532,533,540,543,544,545,
548,549,552,553,556,557,558,560,561,562,564,567,569,570,573,574,575,576,577,
578,580,581,582,586,587,589,590,601,602,603,604,605,618,624,625,631,632,633,
634,635,636,637,638,643,644,645,646,647,648,650,651,660,664,667,669,670,671,
672,676,678,679,683,684,685,686,687,688,689,690,691,692,698,699,700,701,704,
705,708,712,717,718,719,721,723,727,731,732,733,738,739,742,743,744,745,749,
752,754,757,762,763,799,800,803,805,807,808,816,817,818,828,831,834,835,836,
839,845,846,847,848,849,850,851,853,854,855,859,860,861,868,870,871,873,874,
876,879,880,884,886,887,890,891,892,893,895,900,901,904,905,908,916,917,918,
935,936,937,942,945,959,962,963,964,965,967,974,978,984,987,990,993,997,998,
999,1000,1004,1007,1009,1027,1028,1029,1053,1054,1057,1059,1075,1079,1081,
1091,1092,1093,1094,1095,1096,1097,1099,1102,1103,1115,1116,1117,1118,1119,
1132,1133,1136,1137,1139,1141,1157,1159,1162,1177,1179,1193,1195,1199,1200,
1205,1221,1224,1225,1226,1227,1228,1251,1252,1254,1255,1257,1260,1262,1278,
1280,1282,1283,1284,1285,1286,1291,1293,1295,1296,1330,1337,1338,1343,1344,
1368,1369,1373,1381,1383,1398,1400,1402,1403,1404,1405,1435,1444,1454,1455,
1472,1473,1474,1494,1495,1496,1508],[1,2,4,10,11,16,18,20,25,26,33,52,63,73,
76,78,90,91,108,109,141,144,170,191,208,237,247,260,267,335,346,434,517,530,
531,551,613,614,620,827,842,843,845,852,1062,1064,1067,1077,1246,1389,1390,
1509],[1,2,4,10,11,16,18,20,23,25,26,32,33,52,55,63,70,72,76,78,86,90,91,92,
96,102,107,109,170,189,208,221,228,237,240,245,247,260,262,263,267,278,281,
284,290,293,304,335,361,398,454,455,517,518,522,529,531,543,558,574,576,590,
607,608,613,614,616,733,836,840,845,853,854,863,874,880,900,928,929,1053,1067,
1068,1070,1071,1073,1123,1137,1139,1224,1225,1226,1246,1247,1343,1354,1416,
1418,1457,1510],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,82,83,86,91,92,
93,96,97,100,102,104,106,108,109,110,111,112,113,114,115,116,117,118,119,120,
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,
235,236,247,252,254,255,256,258,259,260,261,262,263,266,275,276,277,278,279,
281,282,283,288,289,290,292,293,294,298,300,301,305,306,307,308,309,310,311,
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,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,528,529,533,537,
538,539,546,547,548,549,552,553,554,555,556,557,558,559,560,564,565,566,571,
572,573,574,575,578,579,581,582,583,584,585,586,593,595,596,597,598,600,601,
607,609,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,
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,
825,826,846,847,851,853,860,863,865,866,867,869,870,872,873,874,879,884,885,
887,888,889,890,891,897,898,899,901,902,903,906,907,908,914,915,920,932,933,
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,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1066,
1068,1070,1075,1080,1084,1085,1088,1091,1099,1100,1101,1104,1105,1107,1109,
1110,1112,1113,1117,1121,1122,1123,1125,1126,1128,1129,1131,1132,1137,1138,
1143,1145,1157,1158,1160,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,
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,
1213,1214,1215,1216,1217,1218,1219,1240,1242,1243,1251,1252,1254,1256,1261,
1263,1264,1267,1268,1270,1272,1274,1276,1277,1281,1285,1287,1288,1290,1292,
1294,1297,1299,1301,1304,1305,1307,1310,1316,1322,1323,1324,1325,1326,1327,
1328,1329,1330,1331,1332,1333,1334,1335,1336,1359,1361,1363,1368,1369,1373,
1374,1376,1382,1384,1386,1387,1396,1414,1417,1418,1421,1424,1426,1427,1430,
1431,1434,1435,1437,1439,1459,1461,1462,1469,1470,1504,1511],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,82,83,86,90,91,92,93,96,97,100,102,104,106,108,
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,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,247,252,254,255,256,
258,259,260,261,262,263,266,267,275,276,277,278,279,281,282,283,284,288,289,
290,291,292,293,294,298,300,301,305,306,307,308,309,310,311,312,313,314,315,
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,
506,507,508,509,510,511,512,513,514,515,516,528,531,533,537,538,539,543,546,
547,548,549,552,553,554,555,556,557,558,559,560,564,565,566,571,572,573,574,
575,576,578,579,581,582,583,584,585,586,590,592,593,594,595,596,597,598,599,
600,601,607,608,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
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,
823,824,825,826,845,846,847,850,851,854,859,860,863,864,865,866,867,869,870,
872,873,879,880,884,885,887,888,889,890,891,897,898,899,900,901,902,903,906,
907,908,913,914,915,920,921,932,933,934,935,936,937,938,939,940,941,942,943,
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,
1046,1047,1048,1049,1050,1051,1066,1067,1068,1070,1071,1079,1080,1083,1084,
1085,1086,1091,1094,1095,1096,1099,1100,1101,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1114,1116,1117,1118,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1138,1139,1141,1143,1144,1157,1158,1160,1173,
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,
1219,1239,1240,1241,1242,1243,1244,1255,1256,1260,1261,1263,1264,1267,1268,
1269,1270,1271,1272,1273,1274,1275,1276,1277,1280,1281,1283,1284,1285,1287,
1288,1289,1290,1292,1293,1294,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1310,1311,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1358,1359,1381,1382,1384,1385,1386,1388,1396,1416,1417,1423,
1424,1427,1428,1433,1434,1460,1461,1463,1464,1465,1468,1469,1512],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,71,74,75,77,78,79,80,82,84,85,86,87,88,93,94,95,98,99,
100,101,102,103,105,107,109,111,112,113,114,115,116,117,118,119,120,121,122,
123,125,127,128,129,130,131,132,133,134,135,137,142,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,179,180,181,182,183,184,185,186,187,190,191,192,193,194,195,196,197,
199,200,201,202,203,204,205,206,207,208,209,211,213,214,215,216,217,219,220,
222,223,224,225,230,231,232,238,239,241,242,243,244,245,246,253,255,257,258,
264,265,268,269,271,272,273,274,276,278,280,283,285,286,287,294,295,296,297,
299,302,304,305,306,307,308,310,312,313,314,315,316,317,318,319,320,321,322,
323,324,326,327,328,329,330,331,332,333,334,335,336,338,339,340,341,342,343,
344,345,348,349,351,354,355,356,357,358,359,362,363,364,365,366,367,373,375,
376,377,380,381,382,383,384,385,386,387,388,389,390,391,392,393,395,399,400,
402,412,413,424,426,427,429,440,442,443,444,446,447,450,452,456,458,459,466,
467,468,469,479,480,487,494,495,496,501,502,503,504,505,506,511,519,520,523,
524,525,526,529,532,533,534,535,539,540,541,542,544,545,546,560,561,562,563,
567,568,569,570,573,577,580,584,585,587,588,589,591,602,610,611,615,616,618,
619,624,625,626,627,628,630,633,634,635,636,637,638,639,644,645,646,648,649,
652,657,660,661,667,669,676,677,678,680,682,683,684,686,687,689,690,701,714,
721,722,723,726,727,731,738,740,742,743,744,754,755,756,763,770,772,773,775,
776,777,778,780,782,803,825,826,831,834,837,839,842,844,846,847,848,849,855,
856,857,860,861,862,868,871,874,876,878,879,881,886,889,892,893,894,895,896,
899,904,905,922,923,924,925,926,930,934,935,937,938,957,959,964,968,982,987,
988,990,992,997,999,1000,1002,1007,1008,1013,1014,1015,1016,1036,1054,1056,
1059,1062,1063,1065,1074,1075,1076,1080,1081,1082,1091,1092,1093,1097,1098,
1102,1115,1119,1120,1121,1132,1133,1136,1142,1145,1147,1149,1150,1159,1163,
1164,1165,1167,1168,1169,1170,1171,1175,1193,1194,1197,1201,1202,1207,1221,
1223,1227,1228,1233,1234,1235,1236,1237,1248,1250,1251,1253,1254,1257,1262,
1277,1278,1279,1282,1286,1291,1295,1314,1318,1319,1320,1335,1337,1339,1344,
1348,1349,1350,1356,1362,1363,1366,1369,1370,1375,1376,1383,1391,1394,1398,
1399,1403,1405,1410,1420,1431,1432,1441,1446,1451,1455,1475,1479,1489,1498,
1505,1513],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,29,
30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,82,83,86,90,91,
92,93,96,97,100,102,104,107,108,109,110,111,112,113,117,118,119,120,121,122,
123,124,125,126,127,130,131,132,133,134,136,137,139,140,141,143,144,145,146,
147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,174,175,176,177,178,179,180,181,185,186,187,188,189,190,191,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,221,223,224,226,227,228,229,230,231,232,233,234,235,236,237,240,
242,243,244,245,246,252,259,260,261,262,263,266,267,275,276,277,278,279,281,
282,283,284,288,289,291,292,293,294,298,300,301,304,305,306,307,309,310,311,
312,313,314,315,316,317,320,321,322,325,326,327,328,329,330,331,332,333,334,
335,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,367,368,
369,370,371,372,374,375,376,377,378,379,380,386,387,388,389,390,391,394,395,
396,397,398,400,401,403,406,407,408,409,410,414,415,416,417,418,419,422,423,
424,425,426,428,430,431,433,434,435,436,437,439,450,451,452,453,454,455,456,
464,465,466,467,468,469,470,471,472,473,474,475,477,478,481,482,483,484,485,
486,487,488,489,490,491,492,497,498,500,502,503,504,505,506,507,508,509,510,
511,512,513,514,515,516,518,522,524,525,526,529,530,531,533,537,543,547,548,
549,551,552,553,556,557,558,559,564,574,575,576,578,582,583,584,585,586,590,
592,594,598,599,601,613,615,616,618,620,623,629,630,631,632,633,634,635,636,
637,640,641,643,650,651,652,655,656,659,660,664,665,666,667,668,670,671,672,
674,675,677,678,679,680,681,682,698,699,700,701,702,707,708,709,715,716,717,
718,719,731,732,733,735,736,739,740,741,749,750,752,753,755,756,757,759,760,
761,762,764,768,769,770,771,772,773,774,775,782,785,786,787,788,789,790,791,
792,793,794,795,796,797,798,799,800,804,806,809,813,814,815,819,820,823,824,
828,835,836,842,844,845,850,851,852,853,854,859,860,864,865,870,873,874,875,
879,880,882,884,890,891,897,898,900,901,908,910,912,913,928,930,936,937,939,
945,946,949,950,962,967,968,969,970,971,984,985,986,988,993,1002,1003,1004,
1009,1011,1012,1013,1016,1018,1019,1020,1021,1024,1025,1026,1032,1035,1039,
1040,1042,1045,1049,1050,1051,1052,1053,1057,1062,1063,1065,1073,1075,1077,
1079,1083,1086,1087,1088,1094,1095,1096,1099,1101,1103,1104,1106,1111,1112,
1116,1118,1121,1126,1130,1137,1139,1140,1141,1144,1145,1146,1152,1154,1156,
1157,1165,1171,1173,1181,1186,1195,1198,1201,1203,1214,1215,1216,1219,1220,
1224,1225,1226,1233,1234,1235,1236,1237,1247,1252,1254,1255,1259,1260,1264,
1265,1275,1280,1281,1283,1284,1293,1296,1302,1303,1306,1307,1313,1318,1327,
1338,1340,1343,1348,1349,1350,1358,1361,1364,1373,1376,1378,1379,1381,1389,
1391,1394,1400,1402,1404,1408,1410,1428,1437,1443,1445,1446,1447,1453,1454,
1466,1476,1477,1478,1479,1487,1492,1497,1506,1514],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,
72,74,77,82,83,84,85,86,87,88,89,91,93,94,95,96,97,105,109,110,111,112,113,
114,115,116,117,119,120,121,122,123,124,125,128,129,130,131,132,136,137,138,
139,143,145,146,150,154,155,157,158,159,160,161,162,164,165,166,167,168,169,
170,175,176,177,178,179,180,181,182,183,187,188,189,190,192,193,195,196,197,
202,203,204,205,206,208,209,210,211,212,213,214,215,216,218,221,223,225,227,
228,241,247,248,249,252,254,255,258,259,260,261,262,263,271,272,273,274,275,
276,278,279,280,281,283,285,289,290,292,302,305,306,307,308,309,310,312,313,
314,315,316,317,318,319,322,325,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,343,344,347,348,349,350,355,356,357,358,359,360,361,
368,371,372,378,379,381,382,383,384,385,386,387,388,389,390,391,394,395,396,
398,399,403,404,405,408,411,416,417,418,419,420,421,431,432,436,437,438,442,
450,451,452,453,454,455,457,458,460,462,464,465,473,474,475,476,488,489,490,
491,492,493,497,499,519,520,521,529,532,533,534,535,536,538,539,540,541,542,
544,545,546,549,550,554,555,556,557,558,559,564,565,574,575,580,596,597,607,
609,617,618,619,621,622,624,625,626,627,628,631,632,633,634,635,636,637,642,
643,645,646,650,651,653,654,657,658,660,661,662,663,670,671,672,673,694,695,
696,697,698,699,700,701,711,712,714,716,717,718,719,733,737,739,747,748,749,
751,752,757,758,762,765,766,767,783,784,799,800,801,802,829,833,834,846,847,
851,853,860,861,862,863,865,867,870,872,874,876,877,878,879,881,883,905,909,
935,936,937,938,947,948,960,961,962,966,967,982,983,984,993,994,995,996,1004,
1009,1010,1017,1054,1055,1056,1066,1068,1070,1072,1075,1076,1078,1080,1081,
1082,1084,1085,1089,1090,1099,1100,1102,1109,1110,1115,1122,1123,1126,1128,
1137,1138,1143,1149,1151,1174,1175,1176,1182,1183,1195,1196,1227,1232,1251,
1252,1253,1254,1256,1258,1287,1290,1291,1316,1321,1323,1337,1339,1341,1359,
1360,1362,1363,1365,1366,1367,1373,1374,1401,1405,1413,1414,1415,1417,1418,
1421,1424,1440,1451,1452,1480,1484,1486,1504,1515],[1,2,4,10,11,16,18,20,23,
25,26,32,33,52,55,63,70,72,73,75,76,78,90,91,96,106,108,109,141,144,170,189,
191,208,221,228,231,234,235,237,240,245,247,260,263,267,281,284,335,346,361,
398,434,454,455,456,503,509,512,517,522,528,530,531,551,574,576,613,614,620,
715,733,771,772,791,820,827,840,841,842,843,845,852,854,875,880,912,928,929,
1042,1061,1062,1064,1067,1077,1139,1140,1236,1238,1241,1246,1265,1354,1389,
1390,1447,1448,1509,1516],[1,2,4,10,11,16,18,20,23,25,26,32,33,52,55,63,70,72,
73,75,76,78,86,90,91,92,96,102,106,108,109,141,144,170,189,191,208,221,228,
231,234,235,237,245,247,260,262,263,267,278,281,284,290,291,293,335,346,361,
398,434,454,455,456,503,509,512,517,518,528,529,530,531,537,543,551,558,574,
576,585,590,592,593,594,599,607,613,614,620,715,733,771,772,791,820,836,843,
852,853,854,863,874,875,898,900,912,913,920,928,929,1042,1052,1053,1064,1067,
1068,1070,1077,1083,1087,1088,1105,1107,1123,1137,1140,1145,1146,1220,1224,
1238,1240,1241,1244,1245,1246,1265,1301,1303,1306,1307,1340,1345,1390,1392,
1408,1418,1448,1457,1459,1464,1490,1517],[1,2,4,5,10,11,16,18,20,23,25,26,33,
52,63,73,76,77,78,86,90,91,92,107,108,109,141,144,170,191,208,237,240,247,248,
249,260,267,278,284,291,303,304,335,346,434,517,518,529,530,531,537,543,551,
599,605,613,614,617,620,827,842,843,845,852,874,875,1052,1053,1062,1064,1067,
1073,1077,1083,1087,1088,1161,1165,1166,1226,1229,1246,1317,1318,1340,1389,
1390,1466,1467,1509,1518],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,
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,
74,75,77,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
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,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,238,
239,241,247,248,249,252,253,254,255,256,257,258,259,260,261,262,263,264,265,
266,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,285,286,
287,288,289,290,292,293,294,295,296,297,298,299,300,301,302,305,306,307,308,
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,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,519,
520,521,523,527,528,529,532,533,534,535,536,537,538,539,540,541,542,544,545,
546,547,548,549,550,552,553,554,555,556,557,558,559,560,561,562,563,564,565,
566,567,568,569,570,571,572,573,574,575,577,578,579,580,581,582,583,584,585,
586,587,588,589,591,593,595,596,597,598,600,601,602,607,609,617,618,619,620,
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,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,829,830,831,
832,833,834,837,838,839,846,847,848,849,851,853,855,856,857,858,860,861,862,
863,865,866,867,868,869,870,871,872,873,874,876,877,878,879,881,883,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,901,902,903,904,905,
906,907,908,909,911,914,915,920,931,932,933,934,935,936,937,938,939,940,941,
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,
1044,1045,1046,1047,1048,1049,1050,1051,1054,1055,1056,1058,1059,1060,1066,
1068,1070,1072,1075,1076,1078,1080,1081,1082,1084,1085,1088,1089,1090,1091,
1092,1093,1097,1098,1099,1100,1101,1102,1104,1105,1107,1109,1110,1112,1113,
1115,1117,1119,1120,1121,1122,1123,1125,1126,1128,1129,1131,1132,1133,1134,
1135,1136,1137,1138,1142,1143,1145,1147,1148,1149,1150,1151,1153,1155,1157,
1158,1159,1160,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,
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,
1215,1216,1217,1218,1219,1221,1222,1223,1227,1228,1231,1232,1240,1242,1243,
1249,1250,1251,1252,1253,1254,1256,1257,1258,1261,1262,1263,1264,1266,1267,
1268,1270,1272,1274,1276,1277,1278,1279,1281,1282,1285,1286,1287,1288,1290,
1291,1292,1294,1295,1297,1299,1301,1304,1305,1307,1308,1309,1310,1312,1314,
1316,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1339,1341,1344,1347,1359,1360,1361,1362,1363,1365,1366,1367,
1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1380,1382,1383,1384,1386,
1387,1395,1396,1398,1399,1401,1403,1405,1406,1409,1413,1414,1415,1417,1418,
1421,1422,1424,1425,1426,1427,1429,1430,1431,1432,1434,1435,1436,1437,1438,
1439,1440,1441,1442,1451,1452,1455,1456,1458,1459,1461,1462,1469,1470,1471,
1480,1482,1484,1485,1486,1488,1489,1500,1501,1503,1504,1511,1515,1519],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,71,73,74,76,77,78,79,80,82,83,84,85,86,87,88,90,91,
92,93,95,97,98,100,101,104,107,108,109,111,112,113,115,116,117,118,119,120,
121,122,123,125,126,127,130,131,132,133,134,137,140,141,144,147,148,149,154,
155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,172,173,174,176,
177,179,180,181,183,184,185,186,187,190,191,192,194,195,196,197,198,199,201,
202,203,204,205,207,208,209,211,214,215,216,217,219,220,223,224,226,229,239,
240,242,243,244,252,253,254,256,257,258,259,260,261,264,266,268,271,272,273,
274,275,276,277,278,279,280,282,283,284,285,287,288,291,292,301,303,304,305,
306,307,308,310,311,312,313,314,315,316,317,320,321,322,324,326,327,328,329,
332,333,334,335,336,338,339,340,341,342,343,345,346,348,349,351,352,353,355,
356,357,358,359,362,364,365,366,367,369,370,374,375,376,377,380,383,385,386,
387,388,389,390,391,392,393,395,396,397,400,401,406,407,409,410,414,415,422,
423,425,428,430,433,434,435,439,442,443,445,447,448,449,451,457,460,461,463,
466,470,471,472,477,478,481,482,483,484,485,486,498,500,518,519,520,524,529,
530,531,532,533,534,535,537,539,541,542,543,544,545,546,547,548,551,552,553,
554,556,560,565,566,567,569,570,571,572,577,578,581,598,599,603,610,611,613,
615,618,619,620,623,626,627,628,629,630,633,634,635,636,637,638,639,640,641,
647,648,649,652,655,656,657,659,660,661,664,665,666,668,674,675,679,681,685,
688,691,692,693,701,711,713,720,723,724,725,729,730,735,736,741,745,746,750,
753,759,760,761,764,768,769,785,786,795,796,797,798,828,831,832,835,842,845,
848,849,850,855,857,859,860,861,862,864,865,866,869,871,873,874,875,876,878,
879,881,882,906,910,916,922,923,924,930,933,934,937,938,949,950,955,956,958,
963,965,982,985,986,989,991,998,1001,1003,1005,1006,1018,1052,1053,1054,1056,
1062,1063,1065,1073,1074,1075,1076,1077,1079,1080,1081,1082,1083,1086,1087,
1088,1092,1093,1094,1095,1101,1111,1112,1117,1124,1125,1127,1128,1134,1136,
1144,1149,1152,1163,1164,1165,1173,1175,1177,1184,1185,1191,1192,1226,1228,
1230,1233,1234,1235,1249,1250,1253,1254,1255,1257,1259,1288,1289,1292,1318,
1322,1337,1338,1339,1340,1348,1356,1358,1361,1362,1363,1364,1366,1368,1371,
1372,1389,1391,1397,1402,1403,1406,1422,1423,1439,1444,1445,1446,1451,1453,
1466,1472,1475,1476,1483,1485,1496,1505,1506,1520],[1,2,3,4,5,7,9,11,13,16,18,
19,20,22,23,24,28,31,41,54,55,57,61,65,73,75,76,77,78,79,80,81,83,85,89,91,94,
96,99,101,143,155,163,178,226,230,233,235,237,239,240,243,245,263,265,272,277,
279,286,291,303,371,397,506,508,515,517,521,522,526,550,564,568,594,603,605,
606,610,612,614,790,827,830,840,841,864,883,911,917,922,925,929,1061,1130,
1153,1161,1169,1245,1315,1351,1352,1353,1355,1357,1419,1499,1521],[1,2,4,5,10,
11,16,18,19,20,23,25,26,32,33,52,55,63,70,72,73,75,76,77,78,86,90,91,92,96,
102,106,107,108,109,141,144,170,189,191,208,221,228,231,234,235,237,239,240,
245,247,248,249,260,262,263,267,278,281,284,291,293,303,304,335,346,361,398,
434,454,455,456,503,509,512,517,518,522,527,528,529,530,531,537,543,551,558,
574,576,585,590,592,594,599,603,605,613,614,616,617,620,715,733,771,772,791,
820,827,836,840,841,842,843,845,852,853,854,874,875,880,898,900,912,913,917,
928,929,931,1042,1052,1053,1061,1062,1064,1067,1073,1077,1083,1087,1088,1137,
1139,1140,1145,1146,1161,1165,1166,1220,1224,1225,1226,1229,1236,1238,1241,
1246,1247,1265,1303,1306,1307,1315,1317,1318,1340,1342,1343,1354,1389,1390,
1393,1394,1408,1447,1448,1466,1467,1491,1492,1509,1516,1518,1522],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,
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,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,
87,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,107,108,109,110,
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,
244,245,246,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
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,
518,519,520,522,523,524,525,526,529,530,531,532,533,534,535,537,538,539,540,
541,542,543,544,545,546,547,548,549,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,587,588,589,590,591,592,594,597,598,599,600,601,
602,603,604,605,610,611,613,615,616,618,619,620,621,622,623,624,625,626,627,
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,
818,819,820,821,822,823,824,825,826,828,829,831,832,834,835,836,837,839,842,
844,845,846,847,848,849,850,851,852,853,854,855,856,857,859,860,861,862,864,
865,866,867,868,869,870,871,872,873,874,875,876,878,879,880,881,882,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,910,912,913,915,916,917,918,922,923,924,925,926,928,930,932,
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,
1052,1053,1054,1056,1057,1059,1060,1062,1063,1065,1073,1074,1075,1076,1077,
1079,1080,1081,1082,1083,1086,1087,1088,1090,1091,1092,1093,1094,1095,1096,
1097,1098,1099,1100,1101,1102,1103,1104,1106,1108,1110,1111,1112,1114,1115,
1116,1117,1118,1119,1120,1121,1124,1125,1126,1127,1128,1130,1131,1132,1133,
1134,1136,1137,1138,1139,1140,1141,1142,1144,1145,1146,1147,1149,1150,1152,
1154,1156,1157,1158,1159,1160,1162,1163,1164,1165,1167,1168,1169,1170,1171,
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,
1218,1219,1220,1221,1223,1224,1225,1226,1227,1228,1230,1233,1234,1235,1236,
1237,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1259,1260,1261,
1262,1263,1264,1265,1267,1269,1271,1273,1274,1275,1277,1278,1279,1280,1281,
1282,1283,1284,1285,1286,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,
1298,1300,1302,1303,1306,1307,1309,1311,1313,1314,1318,1319,1320,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,
1339,1340,1343,1344,1346,1348,1349,1350,1356,1358,1360,1361,1362,1363,1364,
1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1378,1379,1381,1382,
1383,1384,1385,1389,1391,1394,1396,1397,1398,1399,1400,1401,1402,1403,1404,
1405,1406,1408,1410,1420,1421,1422,1423,1425,1426,1428,1429,1430,1431,1432,
1433,1435,1436,1437,1438,1439,1440,1441,1443,1444,1445,1446,1447,1450,1451,
1453,1454,1455,1456,1466,1468,1470,1471,1472,1473,1474,1475,1476,1477,1478,
1479,1481,1483,1485,1486,1487,1489,1492,1494,1495,1496,1497,1498,1502,1503,
1505,1506,1508,1513,1514,1520,1523],[1,2,3,4,5,6,7,8,9,11,13,15,16,17,18,19,
20,21,22,23,24,28,31,40,41,50,51,54,55,57,58,61,64,65,69,73,75,76,77,78,79,80,
81,83,85,89,91,94,95,96,98,99,100,101,103,104,105,115,124,143,146,155,163,173,
176,178,192,194,201,205,213,226,230,233,235,237,238,239,240,241,242,243,244,
245,246,250,254,256,263,265,266,270,272,277,279,286,287,291,295,296,297,298,
299,302,303,342,364,371,397,404,421,449,459,461,489,506,508,515,517,521,522,
523,524,525,526,541,550,552,564,568,572,582,588,594,602,603,604,605,606,610,
612,614,653,703,730,776,790,805,821,827,830,833,838,840,841,844,864,883,884,
894,909,911,916,917,918,919,922,925,927,929,1047,1058,1061,1114,1124,1130,
1151,1153,1155,1161,1162,1163,1167,1169,1245,1269,1312,1315,1319,1351,1352,
1353,1355,1357,1411,1412,1419,1499,1521,1524],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,78,82,83,86,90,91,92,93,96,97,100,102,104,106,107,108,
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,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,240,245,247,252,
254,255,256,258,259,260,261,262,263,266,267,275,276,277,278,279,281,282,283,
284,288,289,290,291,292,293,294,298,300,301,304,305,306,307,308,309,310,311,
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,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,522,528,
529,530,531,533,537,538,539,543,546,547,548,549,551,552,553,554,555,556,557,
558,559,560,564,565,566,571,572,573,574,575,576,578,579,581,582,583,584,585,
586,590,592,593,594,595,596,597,598,599,600,601,607,608,609,613,614,616,618,
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,
809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,828,
835,836,840,843,845,846,847,850,851,852,853,854,859,860,863,864,865,866,867,
869,870,872,873,874,875,879,880,882,884,885,887,888,889,890,891,897,898,899,
900,901,902,903,906,907,908,910,912,913,914,915,920,921,928,929,932,933,934,
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,
1057,1064,1066,1067,1068,1070,1071,1073,1075,1077,1079,1080,1083,1084,1085,
1086,1087,1088,1091,1094,1095,1096,1099,1100,1101,1103,1104,1105,1106,1107,
1108,1109,1110,1111,1112,1113,1114,1116,1117,1118,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1137,1138,1139,1140,1141,1143,1144,1145,
1146,1152,1154,1156,1157,1158,1160,1166,1173,1174,1175,1176,1177,1178,1179,
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,
1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1224,1225,1226,1229,
1230,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1251,1252,1254,1255,
1256,1259,1260,1261,1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1280,1281,1283,1284,1285,1287,1288,1289,1290,1292,1293,1294,
1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1310,1311,1313,
1316,1317,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1338,1340,1342,1343,1345,1346,1353,1354,1358,1359,1361,1363,1364,
1368,1369,1373,1374,1376,1378,1379,1381,1382,1384,1385,1386,1387,1388,1390,
1392,1393,1396,1400,1402,1404,1407,1408,1414,1416,1417,1418,1421,1423,1424,
1426,1427,1428,1430,1431,1433,1434,1435,1437,1439,1443,1448,1449,1453,1454,
1457,1459,1460,1461,1462,1463,1464,1465,1467,1468,1469,1470,1481,1483,1487,
1490,1491,1502,1504,1507,1510,1511,1512,1517,1525],[1,2,4,10,11,16,18,20,23,
25,26,32,33,52,55,63,70,72,73,75,76,78,81,86,90,91,92,96,102,108,109,141,144,
170,189,191,208,221,228,231,234,235,237,245,247,260,262,263,267,278,281,290,
293,335,346,361,398,434,454,455,456,503,509,512,517,518,530,531,537,551,558,
574,585,593,606,608,613,614,620,715,733,771,772,791,820,827,836,842,843,845,
852,854,863,880,898,912,928,1042,1052,1062,1064,1067,1068,1071,1077,1105,1107,
1123,1139,1220,1236,1245,1246,1265,1301,1345,1351,1357,1389,1390,1392,1416,
1447,1457,1490,1509,1526],[1,2,3,4,9,10,11,12,13,14,15,16,18,20,21,23,25,26,
31,32,33,35,36,37,42,43,44,46,48,52,53,54,55,56,57,58,60,61,62,63,65,70,71,72,
73,75,76,78,79,80,81,86,90,91,92,93,96,97,100,102,104,106,108,109,110,117,121,
122,126,127,132,136,137,139,141,144,147,148,149,156,167,168,169,170,174,178,
179,180,181,187,188,189,190,191,196,197,208,215,216,217,218,221,226,227,228,
229,230,231,232,233,234,235,236,237,240,243,245,247,250,252,258,260,261,262,
263,266,267,278,279,281,282,283,284,288,289,290,293,294,298,300,301,305,311,
322,325,326,335,346,355,356,357,358,359,361,367,368,369,370,380,390,391,394,
398,403,406,407,408,410,414,415,428,433,434,435,454,455,456,464,465,471,472,
481,482,483,484,500,502,503,505,507,509,512,513,514,515,516,517,518,522,526,
528,530,531,537,546,549,551,554,555,556,557,558,560,564,574,575,576,578,581,
585,593,595,596,601,606,608,613,614,620,632,637,643,656,668,677,699,700,702,
715,717,718,719,733,750,755,761,764,771,772,782,786,788,789,791,794,795,804,
813,815,820,824,827,828,835,836,840,841,842,843,845,850,852,854,859,863,866,
870,872,875,880,882,887,898,899,902,906,910,912,914,919,921,928,929,939,949,
993,1016,1020,1021,1025,1032,1040,1042,1050,1052,1057,1061,1062,1063,1064,
1065,1067,1068,1071,1077,1094,1096,1103,1105,1107,1109,1113,1122,1123,1129,
1139,1140,1141,1154,1158,1216,1220,1229,1230,1234,1236,1238,1239,1241,1243,
1245,1246,1259,1265,1268,1270,1272,1276,1287,1296,1299,1301,1342,1345,1346,
1349,1351,1353,1354,1355,1357,1379,1386,1389,1390,1392,1407,1411,1416,1419,
1445,1447,1448,1449,1457,1460,1478,1490,1507,1509,1516,1526,1527],[1,2,4,10,
11,16,18,20,23,25,26,32,33,52,55,63,70,72,73,75,76,78,81,86,90,91,92,96,102,
106,107,108,109,141,144,170,189,191,208,221,228,231,234,235,237,240,245,247,
251,260,262,263,267,278,281,284,290,291,293,304,335,346,361,398,434,454,455,
456,503,509,512,517,518,522,528,529,530,531,537,543,551,558,574,576,585,590,
592,593,594,599,606,607,608,613,614,616,620,715,733,771,772,791,820,827,836,
840,841,842,843,845,852,853,854,863,874,875,880,898,900,912,913,920,928,929,
1042,1052,1053,1061,1062,1064,1067,1068,1070,1071,1073,1077,1083,1087,1088,
1105,1107,1123,1137,1139,1140,1145,1146,1165,1172,1220,1224,1225,1226,1236,
1238,1240,1241,1244,1245,1246,1247,1265,1301,1303,1306,1307,1318,1340,1343,
1345,1351,1354,1357,1389,1390,1392,1394,1408,1416,1418,1447,1448,1457,1459,
1464,1466,1490,1492,1499,1509,1510,1516,1517,1526,1528],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[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],[1,2,1,1],[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],[1,1,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,3,4,1,6,1],[1,
3,4,1,6,1],[1,3,4,1,3,3,1],[1,3,4,1,3,3,1],[1,7,3,4,1],[1,7,7,1],[1,7,1,6,1],[
1,7,7,1],[1,3,4,1,2,4,1],[1,5,2,1,1,1,4,1],[1,5,2,2,1,4,1],[1,1,6,4,3,1],[1,1,
6,4,1,2,1],[1,1,6,1,3,3,1],[1,1,6,4,3,1],[1,4,3,1,3,3,1],[1,6,1,1,3,3,1],[1,4,
3,1,3,3,1],[1,2,5,2,1,3,1,1],[1,5,1,1,1,1],[1,1,4,2,1,1],[1,3,2,1,1,1,1],[1,3,
2,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,1,4,1,1,1,1],[1,1,4,2,
1,1],[1,5,2,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,
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],[1,3,1,2,
1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,2,1,
1,1,1,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,1],[1,4,1],[1,1,3,1],[1,5,1,1],[
1,5,1,1],[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],[1,3,1,1,3,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,
1],[1,7,1,3,2,1,1],[1,7,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[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],[1,15,
35,15,1],[1,15,5,30,15,1],[1,15,7,28,7,8,1],[1,9,6,2,3,3,9,18,6,9,1],[1,9,6,3,
1,4,15,12,3,1,3,8,1],[1,9,6,1,1,6,12,15,1,3,3,2,6,1],[1,3,12,16,1,18,3,12,1],[
1,3,12,4,12,1,18,3,12,1],[1,3,12,1,16,3,12,3,1,2,3,3,6,1],[1,9,6,1,7,3,12,12,
1,3,3,8,1],[1,3,12,16,1,6,12,3,4,8,1],[1,5,10,8,1,1,5,16,4,2,2,1,2,8,1],[1,5,
10,1,8,1,4,14,7,1,2,1,1,2,2,6,1],[1,13,2,5,1,16,1,12,2,2,1,2,8,1],[1,11,4,2,1,
10,6,16,1,2,4,4,4,1],[1,7,8,4,1,2,2,14,12,1,4,2,4,4,1],[1,7,3,4,4,1,6,1],[1,5,
2,1,1,1,4,2,2,1,1,1,4,1],[1,7,7,4,1,6,1],[1,3,4,1,2,4,4,1,4,2,1],[1,3,4,1,6,4,
1,2,4,1],[1,3,4,1,6,4,1,6,1],[1,5,2,1,1,1,4,4,1,2,2,2,1],[1,3,4,1,3,3,2,2,1,1,
1,4,1],[1,5,2,1,1,1,4,4,1,2,2,2,1],[1,3,4,1,2,4,4,1,2,4,1],[1,3,4,1,2,4,4,1,2,
4,1],[1,1,6,4,3,4,1,3,3,1],[1,7,3,4,4,1,2,4,1],[1,5,2,1,1,1,4,2,2,1,1,1,4,1],[
1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,1,2,1,6,1,2,
4,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,4,2,2,1,1],[1,3,1,4,2,2,1,1],[1,3,1,4,
2,2,1,1],[1,3,1,4,2,2,1,1],[1,3,1,2,4,1,2,1],[1,3,1,2,4,1,2,1],[1,1,2,1,2,4,1,
2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,9,2,3,1,4,1,4,2,1,1,2,2,1,
1],[1,7,4,3,4,6,2,1,1,4,1,1],[1,7,4,7,2,4,2,1,1,4,1,1],[1,5,6,1,1,3,4,4,2,1,1,
2,2,1,1],[1,5,6,1,1,7,4,2,1,1,2,2,1,1],[1,3,8,1,6,6,2,1,1,4,1,1],[1,5,6,1,1,7,
4,2,1,1,1,1,1,1,1,1],[1,5,6,4,1,1,3,4,2,1,1,2,2,1,1],[1,3,8,4,1,6,2,2,1,1,2,2,
1,1],[1,3,8,4,1,8,2,1,1,2,2,1,1],[1,5,6,4,2,1,2,4,2,1,1,4,1,1],[1,5,6,4,2,3,4,
2,1,1,4,1,1],[1,4,7,2,1,4,3,3,1,1,1,1,1,1,1,1,1,1],[1,9,2,1,7,1,4,2,1,1,2,2,1,
1],[1,7,4,1,6,2,4,2,1,1,4,1,1],[1,7,4,1,2,2,4,4,2,1,1,2,2,1,1],[1,11,7,6,2,1,
1,4,1,1],[1,1,10,8,5,2,2,4,1,1],[1,1,10,4,4,3,2,2,1,1,4,1,1],[1,1,10,1,4,3,5,
2,1,1,2,2,1,1],[1,3,8,1,4,8,2,2,4,1,1],[1,7,4,3,4,6,2,1,1,4,1,1],[1,7,4,3,4,6,
2,1,1,4,1,1],[1,6,5,2,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,11,5,8,2,2,4,1,1],[1,
5,6,1,1,3,4,4,2,1,1,2,2,1,1],[1,7,4,1,6,2,4,2,1,1,4,1,1],[1,6,5,1,1,3,3,5,1,1,
1,1,1,1,1,1,1,1],[1,3,8,4,1,8,2,1,1,2,2,1,1],[1,3,8,1,4,5,3,2,1,1,2,2,1,1],[1,
3,8,4,1,5,3,2,1,1,2,2,1,1],[1,3,8,4,1,4,4,2,1,1,2,2,1,1],[1,1,10,4,4,1,4,2,1,
1,2,2,1,1],[1,9,2,3,1,4,1,4,2,1,1,2,2,1,1],[1,9,2,8,1,4,2,1,1,2,2,1,1],[1,11,
1,12,2,1,1,2,2,1,1],[1,8,3,1,1,3,3,5,1,1,1,1,1,1,1,1,1,1],[1,7,7,4,1,2,1],[1,
3,4,1,6,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,3,3,2,2,1,1,
1,1],[1,5,2,1,1,1,4,4,1,2,1],[1,7,1,6,2,2,1,1,1,1],[1,3,4,1,2,4,4,1,2,1],[1,3,
4,1,2,4,4,1,2,1],[1,1,6,4,3,2,2,1,1,1,1],[1,1,6,1,3,3,2,2,1,1,1,1],[1,5,2,1,1,
1,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,5,2,1,1,1,4,4,1,2,1],[1,3,4,1,6,2,2,1,
1,1,1],[1,5,2,2,1,4,2,2,1,1,1,1],[1,3,4,1,3,3,2,2,1,1,1,1],[1,7,1,6,4,1,2,1],[
1,5,2,1,1,1,4,4,1,2,1],[1,7,3,4,2,2,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,6,4,
1,2,1],[1,7,3,4,4,1,2,1],[1,5,2,1,1,1,4,2,2,1,1,1,1],[1,7,1,6,4,1,2,1],[1,5,2,
1,1,1,4,2,2,1,1,1,1],[1,3,4,1,2,4,2,2,1,1,1,1],[1,5,2,2,1,4,4,1,2,1],[1,1,6,4,
1,2,4,1,2,1],[1,1,6,4,1,2,2,2,1,1,1,1],[1,7,1,6,4,1,2,1],[1,1,6,3,4,3,3,1,1],[
1,5,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,1,2,4,1,2,1,1,1,1,1],[1,3,4,1,2,4,1,2,1,
1,1,1,1],[1,3,4,1,2,4,1,2,2,1,1,1],[1,5,2,2,1,4,1,2,1,2,1,1],[1,7,1,2,4,2,1,1,
2,1,1],[1,1,6,1,2,4,2,1,1,2,1,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,1,2,1,2,1,
2,1],[1,5,4,2,2,1,1,1,1,1],[1,1,5,1,1,1,1],[1,5,2,3,1,1,1,1],[1,1,4,2,3,1,1,1,
1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,3,1,3,1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,
3,1,3,1,1],[1,3,1,1,3,1],[1,5,6,5,1,1,1,1,1],[1,11,5,1,2,1,1],[1,5,5,1,1,1],[
1,5,5,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,11,1,1],[1,1],[1,9,4,3,1,3,4,3,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[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],[1,6,3,4,1,3,3,
4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[
1,9,4,4,3,4,3,1,1],[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],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,9,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,4,4,
1,3,3,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,1,6,4,1,3,3,4,
1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,7,4,3,4,4,1,1,1],[1,6,1,4,1,
3,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,
1],[1,7,4,1,6,4,1,1,1],[1,7,4,7,4,1,1,1],[1,3,12,1,10,9,1,3,3,3,1,3,3,1],[1,3,
12,1,1,9,9,1,3,3,3,1,3,3,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,12,3,1,1,9,9,3,
1,3,3,1,3,3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,9,1,1,3,3,2,
3,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,9,1,
1,3,3,2,3,3,1,1,1,1],[1,13,1,3,3,1,4,1,3,1,1,1,1],[1,7,6,1,3,3,1,2,2,1,3,1,1,
1,1],[1,3,4,1,3,4,1,1,1,3,1,1,1,1],[1,4,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,5,1,1,1,
1,5,1,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,7,6,2,2,1],[1,5,1,1,5,1,1,1],[1,
25,6,15,5,60,15,60,10,20,15,30,60,20,1,15,15,1],[1,21,10,2,9,3,36,39,66,7,14,
3,6,15,30,32,48,1,3,12,3,12,1],[1,13,18,2,24,3,9,15,60,42,1,6,6,24,9,15,6,8,
32,48,1,3,3,12,12,1],[1,9,22,4,48,1,3,15,60,24,4,4,16,8,6,3,18,24,12,60,1,12,
3,12,3,1],[1,17,6,7,1,28,15,12,4,3,7,8,3,8,4,12,6,1,1,1,6,6,1],[1,15,8,4,5,2,
16,2,14,20,2,2,1,4,2,2,2,2,4,8,4,2,2,2,2,4,4,1,1,4,1,1,1,1,1,1,4,1,4,1],[1,17,
6,1,35,3,12,12,4,15,3,3,8,4,12,6,1,1,1,6,6,1],[1,9,14,8,3,1,4,19,16,12,4,3,2,
1,2,3,2,8,8,8,8,2,2,2,1,1,1,2,2,4,4,1],[1,13,10,8,5,1,16,5,16,12,4,2,2,2,2,1,
2,2,8,8,16,2,2,2,1,1,1,4,4,4,1],[1,13,10,3,7,4,17,12,20,4,1,3,1,3,5,8,8,4,4,4,
4,2,2,2,1,1,1,2,2,2,4,2,1],[1,11,12,8,2,1,10,10,16,16,2,2,2,1,2,2,4,2,4,4,8,2,
2,2,4,2,4,1,1,4,1,1,1,1,4,1,4,1,1,1],[1,11,12,4,3,2,4,16,14,20,2,2,3,1,4,1,4,
4,8,4,2,2,2,4,2,4,1,1,4,1,1,1,1,1,4,1,4,1,1],[1,11,12,1,8,1,1,6,13,14,19,2,2,
1,3,2,1,3,1,2,2,2,6,6,1,1,1,1,2,2,2,2,4,1,1,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,9,
14,16,3,1,4,27,12,4,5,1,3,12,8,4,4,8,2,4,1,1,1,2,4,2,4,1],[1,9,14,1,16,1,6,24,
15,4,3,3,3,12,2,6,4,12,6,1,1,1,6,6,1],[1,9,14,16,1,7,7,20,12,4,1,5,3,4,8,8,4,
8,4,2,4,1,1,1,2,2,4,4,1],[1,5,18,16,8,1,1,9,24,4,4,2,4,1,4,2,8,8,4,8,4,4,2,1,
1,1,4,2,2,4,1],[1,17,6,5,7,16,3,12,20,4,1,2,2,3,3,2,8,8,8,8,2,2,2,1,1,1,2,4,2,
4,1],[1,5,18,28,1,1,21,12,4,3,3,15,8,1,9,3,3,3,3,1,1,1,3,3,3,3,1],[1,5,18,1,
16,8,1,8,22,7,4,1,2,3,4,1,2,8,2,6,4,8,4,2,4,1,1,1,2,4,2,4,1],[1,21,2,9,1,40,1,
12,4,8,8,2,1,2,8,4,8,4,2,4,1,1,1,2,2,4,4,1],[1,15,8,2,7,10,8,12,24,2,2,1,1,3,
4,4,8,4,4,2,2,4,2,2,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,13,6,2,3,9,9,18,6,1,6,9,6,
6,3,1,3,3,1],[1,13,6,5,1,16,3,4,12,6,2,2,1,1,2,8,2,2,8,3,1,1,2,1,2,1],[1,9,10,
2,3,3,11,4,18,2,4,6,1,9,2,2,4,4,1,2,1,1,2,1,2,1],[1,13,6,5,1,16,7,12,6,1,2,2,
1,2,8,2,2,8,3,1,1,2,1,2,1],[1,13,6,4,5,1,16,3,12,2,4,2,2,1,2,1,8,2,2,8,1,2,1,
1,2,1,2,1],[1,9,10,8,3,1,4,5,16,4,2,4,2,1,2,1,2,8,2,2,4,4,1,2,1,1,1,1,1,1,1,
1],[1,11,8,4,3,2,4,2,14,12,4,2,1,4,1,2,4,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,
11,8,2,1,10,8,4,16,4,2,1,1,2,4,4,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,19,11,30,
6,1,15,12,3,1,3,3,1],[1,3,16,4,12,1,6,18,6,1,3,12,12,3,1,3,3,1],[1,3,16,16,1,
18,6,6,3,1,12,12,3,1,3,3,1],[1,9,10,2,3,3,15,18,6,1,6,9,6,6,3,1,3,3,1],[1,7,
12,4,1,2,8,14,12,4,2,1,1,4,2,4,4,4,4,4,2,1,1,2,1,1,2,1],[1,5,14,8,1,1,11,16,4,
2,4,1,2,2,1,2,8,2,2,8,1,2,1,1,2,2,1,1],[1,9,10,8,3,1,4,5,16,4,6,2,1,2,1,2,8,2,
2,8,3,1,1,2,2,1,1],[1,7,12,4,12,3,4,18,4,2,3,1,12,4,8,2,1,1,1,2,1,2,1],[1,9,
10,2,4,3,3,11,18,2,4,6,9,1,2,2,4,4,1,2,1,1,2,2,1,1],[1,9,10,1,4,1,6,14,15,2,4,
1,3,3,1,2,6,2,2,2,6,1,2,1,1,1,1,1,1,1,1],[1,7,12,4,4,1,2,2,16,12,2,4,1,4,2,1,
4,4,4,2,2,4,1,2,1,1,2,1,2,1],[1,19,35,6,6,15,1,12,3,1,3,3,1],[1,15,4,7,28,6,4,
2,1,7,8,4,8,2,1,1,1,2,2,1,1],[1,11,8,4,3,2,4,2,14,12,6,1,4,1,2,4,4,4,4,4,3,1,
1,2,2,1,1],[1,13,6,2,5,3,4,9,18,2,4,6,1,9,2,2,4,4,1,2,1,1,2,1,2,1],[1,13,6,5,
1,8,15,12,2,4,3,2,3,8,4,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,5,14,8,1,1,7,20,4,2,4,2,
3,1,2,8,2,2,8,1,2,1,1,2,1,2,1],[1,9,10,8,1,7,5,16,4,6,1,2,2,1,2,8,2,10,3,1,2,
1,2,1,1],[1,7,12,16,1,6,6,12,4,2,1,3,4,8,4,8,2,1,1,1,2,1,2,1],[1,7,12,16,1,2,
6,12,4,2,4,3,1,4,8,2,2,8,1,2,1,2,1,1,2,1],[1,17,2,5,7,16,1,12,2,4,1,2,2,1,2,8,
2,2,8,1,2,1,1,2,1,2,1],[1,15,4,2,7,10,6,16,4,2,1,1,2,4,4,4,4,4,4,2,1,1,2,1,1,
2,1],[1,15,4,5,30,2,4,4,2,15,1,4,8,2,1,1,1,2,2,1,1],[1,11,8,2,1,10,8,4,16,6,1,
1,2,4,4,4,4,4,4,3,1,1,2,2,1,1],[1,13,6,5,1,16,3,4,12,2,4,2,2,1,1,2,8,2,4,2,4,
1,2,1,1,1,1,1,1,1,1],[1,17,2,7,1,20,1,12,2,4,3,2,1,2,8,2,2,8,1,2,1,1,2,1,2,
1],[1,19,5,36,6,1,15,6,6,3,1,3,3,1],[1,5,14,4,8,1,1,7,16,4,2,4,2,2,1,1,2,8,2,
2,8,1,2,1,1,2,1,2,1],[1,3,16,16,4,1,18,2,2,4,3,12,1,8,2,2,1,2,1,1,2,1,2,1],[1,
3,16,4,4,12,1,20,2,4,3,12,1,4,4,2,2,1,2,1,1,2,1,2,1],[1,5,14,1,4,8,1,6,14,7,2,
4,1,2,1,1,1,2,2,6,2,2,2,4,2,1,2,1,1,1,1,1,1,1,1],[1,3,16,1,4,16,3,14,3,2,4,1,
2,3,3,1,6,2,4,2,2,2,1,2,1,1,1,1,1,1,1,1],[1,9,10,1,7,5,16,12,2,4,1,4,3,8,4,2,
4,2,1,2,1,1,1,1,1,1,1,1],[1,15,4,2,1,16,6,16,6,1,1,2,4,4,4,2,6,4,3,1,2,1,2,1,
1],[1,7,12,1,6,6,12,6,1,3,12,12,3,1,3,3,1],[1,11,8,7,6,4,8,4,2,1,1,2,8,4,4,8,
2,1,1,2,1,1,2,1],[1,15,4,7,12,6,6,1,3,12,12,3,1,3,3,1],[1,11,8,5,8,6,6,4,2,1,
1,2,8,4,4,8,2,1,1,1,2,2,1,1],[1,5,14,8,4,2,5,2,4,2,4,1,2,1,4,8,4,8,1,2,1,1,2,
1,2,1],[1,9,6,1,7,3,12,12,8,1,3,3,8,12,1,2,2,2,1],[1,9,6,1,7,3,12,12,8,1,3,3,
8,4,8,1,2,2,2,1],[1,5,10,8,1,1,5,16,4,4,4,2,2,1,2,8,4,2,2,4,1,1,1,2,2,1],[1,5,
10,1,8,1,4,14,7,4,4,1,2,1,1,2,2,6,4,2,2,4,1,1,1,2,2,1],[1,9,6,3,1,4,15,12,8,3,
1,3,8,4,8,1,2,2,2,1],[1,13,2,5,1,16,1,12,4,4,2,2,1,2,8,6,2,4,1,1,1,2,2,1],[1,
9,6,1,7,3,12,12,8,1,3,3,8,8,4,1,2,2,2,1],[1,9,6,3,1,4,15,12,8,3,1,3,8,4,8,1,2,
2,2,1],[1,9,6,3,1,4,15,12,8,3,1,3,8,12,1,2,2,2,1],[1,5,10,8,1,1,5,16,4,4,4,2,
2,1,2,8,2,2,8,1,2,1,2,1,1],[1,9,6,1,1,6,12,15,4,4,1,3,3,2,6,2,4,6,1,1,1,2,2,
1],[1,7,8,4,1,2,2,14,12,6,2,1,4,2,4,4,2,3,1,2,4,1,1,1,1,1,1,1,1],[1,9,6,3,1,4,
15,12,4,4,3,1,3,8,2,2,8,1,2,1,1,2,1],[1,9,6,1,7,3,12,12,4,4,1,3,3,8,2,2,8,1,2,
1,1,2,1],[1,7,8,4,1,2,2,14,12,2,6,1,4,2,4,4,2,2,1,3,4,1,1,1,1,1,1,1,1],[1,11,
4,2,1,10,6,16,6,2,1,2,4,4,4,3,1,2,2,4,1,1,1,1,1,1,1,1],[1,13,2,5,1,16,1,12,4,
4,2,2,1,2,8,2,2,8,1,2,2,1,1,1],[1,11,4,2,1,10,6,16,2,6,1,2,4,4,4,2,1,3,2,4,1,
1,1,1,1,1,1,1],[1,5,10,1,8,1,4,14,7,4,4,1,2,1,1,2,2,6,2,4,2,4,1,1,1,2,2,1],[1,
5,10,8,1,1,5,16,4,8,2,2,1,2,8,4,8,1,2,2,2,1],[1,13,2,5,1,16,1,12,8,2,2,1,2,8,
4,8,1,2,2,2,1],[1,9,6,2,3,3,9,18,4,4,6,9,2,2,2,2,2,2,16,1,4,1,4,1,4,1],[1,13,
6,4,3,7,4,3,12,6,1,1,3,1,6,6,6,3,3,3,2,3,3,3,6,1],[1,7,12,8,3,4,18,6,3,1,2,6,
12,6,3,2,3,6,6,1],[1,19,7,26,6,1,2,3,12,6,3,6,2,3,6,6,1],[1,9,10,4,3,1,4,13,4,
4,6,2,1,1,1,1,2,4,2,10,1,3,2,3,2,1,1,2,1,2,2,2,4,1],[1,9,10,4,1,7,9,8,4,6,1,1,
2,1,1,2,4,10,2,3,1,2,3,2,2,1,2,1,1,2,2,4,1],[1,3,16,8,8,1,6,10,6,1,1,2,2,8,6,
4,2,6,1,2,1,2,2,4,2,4,1],[1,5,14,12,1,1,11,4,4,6,1,1,1,3,10,4,4,1,1,2,5,2,1,1,
1,2,2,2,2,2,2,1],[1,15,4,1,18,2,4,8,6,2,1,1,2,4,6,8,2,1,6,2,1,2,4,2,4,2,1],[1,
3,4,1,6,6,6,1,3,3,1,3,3,1],[1,3,4,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[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],[1,13,2,5,1,8,1,4,8,2,1,4,4,4,
2,2,4,8,4,1,2,1,1,2,4,4,1],[1,9,6,1,7,3,4,4,8,1,1,1,2,2,6,2,8,2,2,4,4,1,1,1,1,
1,1,1,4,4,1],[1,5,10,1,1,5,8,4,8,2,1,4,4,4,2,8,4,2,4,2,1,1,1,2,4,4,1],[1,9,6,
3,1,4,7,4,8,1,1,1,2,2,2,6,2,8,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,5,10,8,1,1,5,4,8,
1,2,4,4,4,2,2,6,6,4,1,2,1,2,1,4,4,1],[1,5,10,4,1,1,9,4,8,1,1,1,1,5,3,3,2,2,3,
9,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,2,1,7,1,4,2,8,1,1,2,2,2,1,4,2,1,2,1,2,1,1],[
1,11,7,6,4,6,1,1,4,6,3,1,2,1,1,2,1],[1,9,2,3,1,4,1,4,6,4,1,1,2,2,2,2,3,2,1,2,
1,1,2,1],[1,5,6,1,1,7,4,2,8,1,1,2,2,2,2,1,4,1,2,1,1,2,1],[1,7,4,3,4,6,4,6,1,1,
4,2,3,4,1,1,1,1,1,1,1,1],[1,9,2,3,1,4,1,4,6,4,1,1,2,2,2,3,2,2,1,1,1,1,1,1,1,
1],[1,3,8,1,6,6,4,6,1,1,4,2,3,4,1,2,1,2,1,1],[1,7,4,3,4,6,8,2,1,1,4,8,1,1,2,1,
2,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,2,3,2,2,1,2,1,1,2,1],[1,7,4,1,6,2,4,8,2,1,
1,4,4,1,4,1,2,1,1,2,1],[1,5,6,4,1,1,3,4,2,4,4,1,1,2,2,2,2,2,1,2,1,2,1,2,1,1],[
1,5,6,1,1,3,4,4,6,4,1,1,2,2,3,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,1,2,2,4,4,4,2,4,1,
1,2,2,1,2,4,2,1,2,1,1,2,1],[1,3,8,4,1,6,2,4,2,4,1,1,2,2,1,2,4,2,1,2,1,1,2,1],[
1,7,4,1,6,2,4,4,6,1,1,4,4,2,3,1,1,1,1,1,1,1,1],[1,5,2,1,1,1,4,4,8,1,2,2,2,4,1,
2,2,2,1],[1,5,2,1,1,1,4,8,4,1,4,2,2,2,1,2,2,1,1,1],[1,5,2,1,1,1,4,4,8,1,2,2,2,
4,1,1,1,2,2,1],[1,5,2,1,1,1,4,8,4,1,2,4,2,2,1,2,2,1,1,1],[1,5,2,1,1,1,4,4,8,1,
2,2,4,2,1,1,1,2,2,1],[1,11,7,6,10,1,1,4,5,4,1,1,1,2,2,1],[1,7,4,1,6,2,4,4,6,1,
1,4,2,3,4,1,1,1,2,2,1],[1,3,8,1,6,6,10,1,1,4,5,4,1,1,1,2,2,1],[1,7,4,3,4,6,4,
6,1,1,4,2,3,4,1,1,1,2,2,1],[1,7,4,3,4,6,8,2,1,1,4,4,1,4,1,1,1,1,1,1,1,1],[1,7,
4,1,6,2,4,8,2,1,1,4,4,1,4,1,1,1,1,1,1,1,1],[1,5,6,4,2,1,2,4,6,4,1,1,4,1,2,2,4,
1,1,1,2,2,1],[1,5,6,1,1,3,10,1,3,3,3,3,3,3,6,10,1,1,3,1,3,3,3,1],[1,3,4,1,3,3,
6,6,1,3,3,12,3,1],[1,5,6,4,1,1,3,4,10,1,1,2,2,2,2,1,1,1,1,1],[1,5,6,1,1,3,4,4,
6,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,8,1,6,6,2,8,1,1,4,1,4,1,2,1],[1,3,8,1,6,6,2,8,
1,1,4,1,4,1,2,1],[1,5,6,1,1,7,4,6,4,1,1,2,2,2,1,2,1,1,1,1],[1,5,6,4,2,1,2,4,2,
8,1,1,4,1,4,1,2,1],[1,3,8,4,1,8,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,9,2,3,1,4,1,4,
2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,9,2,1,7,1,4,2,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,5,
6,4,1,1,3,4,2,8,1,1,2,2,2,2,1,1,1,1,1],[1,5,6,4,2,1,2,4,2,8,1,1,4,1,4,1,2,1],[
1,11,7,6,10,1,1,4,1,4,1,2,1],[1,11,1,12,10,1,1,2,2,2,3,1,1,1,1],[1,11,7,6,10,
1,1,4,5,1,2,1],[1,5,6,4,1,1,3,4,6,4,1,1,2,2,2,2,1,1,1,1,1],[1,5,6,1,1,3,4,4,2,
4,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,4,3,4,6,8,2,1,1,4,4,1,1,2,1],[1,9,2,3,1,4,1,4,
6,4,1,1,2,2,2,1,2,1,1,1,1],[1,7,4,3,4,6,2,8,1,1,4,1,4,1,2,1],[1,3,8,4,1,6,2,6,
4,1,1,2,2,1,2,2,1,1,1,1],[1,3,8,4,1,8,6,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,4,1,6,2,
4,10,1,1,4,1,4,1,2,1],[1,11,1,12,4,6,1,1,2,2,2,3,1,1,1,1],[1,9,2,1,7,1,4,6,4,
1,1,2,2,1,2,2,1,1,1,1],[1,5,6,1,1,7,4,2,4,4,1,1,2,2,2,1,2,1,1,1,1],[1,5,6,4,1,
1,3,4,6,4,1,1,2,2,2,2,1,1,1,1,1],[1,7,4,1,6,2,4,2,8,1,1,4,1,4,1,2,1],[1,7,4,1,
2,2,4,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,5,6,1,1,3,4,4,2,8,1,1,2,2,4,1,4,4,1,1,
1,1,1,1,1,1],[1,9,2,1,7,1,4,6,4,1,1,2,2,7,2,4,1,1,1,1,1,1,1,1],[1,9,2,3,1,4,1,
4,6,4,1,1,2,2,7,2,4,1,1,1,1,1,1,1,1],[1,9,2,3,1,4,1,4,6,4,1,1,2,2,3,2,4,4,1,1,
1,1,1,1,1,1],[1,9,2,3,1,4,1,4,2,8,1,1,2,2,1,4,4,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,
7,4,6,4,1,1,2,2,3,2,4,4,1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,3,2,4,4,
1,1,1,1,1,1,1,1],[1,5,6,1,1,3,4,4,6,4,1,1,2,2,4,3,2,4,1,1,1,1,1,1,1,1],[1,5,6,
1,1,7,4,2,8,1,1,1,1,1,1,1,8,4,1,1,1,1,1,1,1,1],[1,3,8,1,4,5,3,4,2,4,1,1,2,2,1,
3,3,2,4,1,1,1,1,1,1,1,1],[1,9,6,1,7,3,4,4,4,4,1,1,1,2,6,2,2,2,2,4,1,1,1,1,1,1,
1,1],[1,11,4,7,6,2,4,6,2,1,1,1,4,4,4,7,1,1,1,1,1,1,1,1,1],[1,7,8,1,6,4,8,2,6,
1,2,4,4,4,4,1,3,1,1,1,1,1,1,1,1],[1,11,4,7,6,2,4,2,6,1,1,1,4,4,4,4,1,3,1,1,1,
1,1,1,1,1],[1,7,8,1,6,4,8,6,2,1,2,4,8,3,1,4,1,1,1,2,1,1,1],[1,5,10,1,1,5,8,4,
4,4,2,1,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,8,4,1,2,4,4,4,2,2,4,1,1,1,2,2,2,
2,4,1,1,2,4,1,1,1,1,1,1,1,1],[1,7,8,3,4,6,6,2,6,1,1,1,4,4,4,1,3,4,1,1,1,1,1,1,
1,1],[1,11,4,5,8,6,6,2,1,2,4,8,7,1,1,1,2,1,1,1,1],[1,9,6,3,1,4,7,4,4,4,1,1,1,
2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,13,2,5,1,8,1,4,4,4,2,1,2,2,2,4,2,2,2,4,1,
1,1,1,1,1,1,1],[1,11,4,5,8,6,2,6,1,2,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,7,8,3,4,
6,6,6,2,1,1,1,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,3,12,1,8,7,3,2,2,4,1,2,4,4,4,1,
1,2,4,1,1,1,2,2,1],[1,5,10,4,4,2,3,2,4,4,4,1,1,1,4,4,4,3,3,2,1,1,1,1,1,1,1,
1],[1,3,12,4,4,1,8,2,2,2,4,1,1,1,2,2,4,2,2,1,1,6,1,1,1,1,1,1,1,1],[1,5,2,1,1,
1,4,4,8,1,2,4,4,4,1,1,1,2,1,1,1],[1,5,2,1,1,1,4,8,4,1,4,2,4,4,1,1,2,1,1,1,1],[
1,5,2,1,1,1,4,8,4,1,4,2,4,4,1,1,2,1,1,1,1],[1,5,2,1,1,1,4,4,8,1,2,4,4,4,1,1,1,
2,1,1,1],[1,3,4,1,3,3,6,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,5,2,1,1,1,4,4,1,2,2,
2,4,1,2,2,2,1],[1,11,7,6,2,1,1,4,1,4,1,2,1],[1,3,8,1,6,6,2,1,1,4,1,4,1,2,1],[
1,7,4,1,6,2,4,2,1,1,4,1,4,1,2,1],[1,7,4,3,4,6,2,1,1,4,1,4,1,2,1],[1,7,1,2,4,4,
2,1,2,1,2,1,2,1,1,1,1],[1,3,4,1,2,8,1,2,2,3,1,2,1,1,1,1],[1,7,1,2,8,2,1,3,2,1,
2,1,1,1,1],[1,3,4,1,2,4,4,1,2,2,2,1,1,2,1,1,1,1],[1,3,4,1,3,3,2,2,1,1,1,4,4,1,
2,1],[1,7,1,2,8,2,1,3,2,1,4,2,1,1,1,2,2,1],[1,3,4,1,2,8,1,2,2,3,4,1,2,1,1,1,2,
2,1],[1,7,8,1,2,4,8,4,2,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,11,4,5,8,2,4,2,1,4,2,2,
1,1,2,1,1,1,2,2,1],[1,5,6,2,1,2,6,2,1,1,2,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,9,4,
9,12,1,1,1],[1,3,13,1,3,4,1,2,1,1],[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],[1,15,4,9,14,6,1,6,1,2,1],[1,3,12,1,3,9,1,4,9,
3,3,1,3,3,1,1,1,1],[1,5,18,1,15,15,1,5,1,3,3,1,3,3,1],[1,5,6,5,10,1,5,1,1,1,1,
2,1],[1,5,6,5,10,1,5,1,1,1,1,2,1],[1,3,1,1,1,3,1,1],[1,1,7,7,1,1,1,1],[1,15,
16,5,30,15,20,1,1],[1,15,16,35,15,20,1,1],[1,15,16,5,30,15,8,12,1,1],[1,9,6,
16,2,3,3,9,18,6,9,12,8,1,1],[1,9,6,16,2,3,3,9,18,6,9,8,12,1,1],[1,3,12,16,4,
12,1,18,3,12,4,4,12,1,1],[1,3,12,16,4,12,1,18,3,12,4,16,1,1],[1,3,12,16,16,1,
18,3,12,4,16,1,1],[1,15,4,35,12,15,1,4,1,3,1],[1,3,12,4,16,1,18,12,3,12,1,4,1,
3,1],[1,3,12,4,4,12,1,18,12,3,12,1,4,1,3,1],[1,3,12,4,16,1,18,12,3,12,1,4,1,3,
1],[1,3,12,4,4,12,1,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,16,3,12,3,12,1,2,3,3,6,
1,4,1,1,2,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,9,6,4,2,3,3,9,18,12,6,9,1,4,1,3,
1],[1,9,6,4,1,1,6,12,15,12,1,3,3,2,6,1,4,1,1,2,1],[1,9,6,4,1,7,3,12,12,12,1,3,
3,8,1,4,1,1,2,1],[1,3,12,4,16,1,6,12,12,3,4,8,1,4,1,1,2,1],[1,9,6,4,3,1,4,15,
12,12,3,1,3,8,1,4,1,1,2,1],[1,15,4,7,28,12,7,8,1,4,1,1,2,1],[1,3,16,1,6,3,4,1,
1],[1,3,16,1,6,3,4,1,1],[1,7,12,4,3,4,18,6,8,4,3,1,12,3,1,4,3,2,1,1],[1,4,15,
4,6,1,6,9,3,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,13,6,4,3,7,3,12,6,4,4,4,1,
3,6,6,3,1,4,3,1,1,1,1],[1,10,9,4,1,3,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,13,6,4,3,3,4,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,13,6,4,10,3,12,
6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,19,4,7,18,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,
13,6,4,4,6,3,12,6,8,4,3,1,12,3,1,4,3,2,1,1],[1,7,12,4,7,6,12,6,8,4,1,3,12,3,1,
4,3,2,1,1],[1,3,16,4,12,1,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,1,12,9,3,
6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,12,1,9,3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[
1,19,4,9,16,6,8,4,4,12,3,1,4,3,2,1,1],[1,7,12,4,3,4,9,9,6,4,4,4,3,1,6,6,3,1,4,
3,1,1,1,1],[1,7,12,4,4,3,9,9,6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,3,16,4,12,1,
6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,16,4,12,1,12,6,8,4,1,3,6,6,3,1,4,3,2,1,
1],[1,9,10,4,1,3,9,12,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,6,1,3,3,
9,3,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,4,12,3,6,6,8,4,1,3,12,3,1,
4,3,2,1,1],[1,1,18,4,3,4,9,9,6,8,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,1,18,4,1,12,3,
9,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,19,4,3,22,6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,
16,3,4,3,1,9,3,9,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,19,4,1,24,6,8,4,3,1,
6,6,3,1,4,3,2,1,1],[1,12,7,4,1,3,3,9,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,10,9,4,3,1,3,9,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,4,3,4,
4,1,3,3,1,4,1,1,1],[1,3,4,4,1,6,4,4,1,6,1,4,1,1,1],[1,7,4,7,4,4,1,6,1,4,1,1,
1],[1,7,4,3,4,4,4,1,6,1,4,1,1,1],[1,1,6,4,4,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,4,
1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[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],[1,3,4,4,1,6,12,4,1,6,1,4,3,1,
1],[1,3,4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,3,
4,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,
3,1,1],[1,13,4,6,3,8,4,3,1,3,4,3,1,1],[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],[1,3,4,1,6,12,3,4,4,1,1,1],[1,
3,4,1,6,12,3,4,4,1,1,1],[1,1,6,4,3,4,4,3,3,1,4,1,1,1],[1,14,9,1,1,1,9,9,15,1,
3,3,3,5,3,3,1,3,3,3,3,1,1,3,5,3,1,1,3,1,1,1,1,1,1,1,1],[1,3,20,1,1,10,9,15,4,
1,5,5,3,3,4,6,3,1,1,3,3,5,1,1,3,1,1,1,1,1,1,1,1],[1,9,7,6,6,6,9,2,2,6,6,1,1],[
1,9,7,6,3,9,9,2,2,1,3,1,1],[1,9,7,6,12,9,2,2,1,3,1,1],[1,11,1,1],[1,7,7,8,1,
1],[1,7,7,8,1,1],[1,7,7,8,1,1],[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],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,
1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,7,15,1,7,1,2,1,1],[1,45,18,6,45,15,
180,135,270,45,90,45,90,135,270,360,360,6,15,45,180,135,270,18,45,1],[1,21,42,
14,168,7,21,63,252,126,3,42,42,168,48,63,63,126,168,168,504,7,14,168,21,63,
252,126,21,42,1],[1,27,39,30,18,15,15,36,9,12,1,1,3,3,9,9,9,3,3,9,1],[1,3,24,
4,16,12,1,18,18,18,3,3,12,12,36,9,12,1,1,3,3,9,9,9,3,3,9,1],[1,15,12,4,12,7,
28,18,12,6,3,7,8,12,12,24,6,3,4,8,1,1,2,1,3,3,6,3,6,6,3,3,3,3,6,1],[1,15,12,
16,5,30,6,12,12,6,15,3,4,8,12,24,6,3,4,8,1,1,2,1,3,3,6,6,3,3,6,3,3,3,6,1],[1,
21,18,2,16,9,3,36,51,66,12,9,14,3,6,15,30,12,32,48,12,12,24,6,12,1,3,12,1,3,
12,3,6,12,6,12,6,6,1,3,6,2,3,1],[1,21,18,2,16,9,3,36,51,66,4,8,9,14,3,6,15,30,
12,32,48,4,4,8,8,24,2,4,12,1,3,12,1,3,12,1,2,2,4,12,2,4,12,2,4,2,4,1,1,2,2,2,
4,1,2,1],[1,17,22,2,24,5,9,4,29,60,50,8,4,1,3,6,6,24,1,9,17,6,8,32,8,48,4,8,8,
4,4,8,4,8,2,4,2,2,8,1,1,3,3,12,12,2,1,2,2,4,2,4,8,2,2,8,2,2,3,2,1,4,1,1,2,2,1,
2,1,1,1,2,1,1],[1,13,26,4,48,3,3,4,29,60,32,4,8,3,4,4,16,1,8,6,5,18,24,12,8,
60,4,4,4,16,4,8,8,2,2,2,4,8,1,1,12,3,12,3,2,1,2,2,4,4,8,2,4,8,2,1,4,2,3,2,1,1,
2,2,1,1,2,1,1,1,2,1],[1,17,22,4,48,5,3,16,15,60,32,8,4,4,4,16,2,2,8,6,3,2,18,
24,12,8,60,4,4,4,4,8,24,2,4,2,2,8,1,12,3,12,1,3,2,1,2,2,4,6,8,4,2,8,3,2,4,1,2,
1,2,1,2,2,2,2,1,2,1],[1,21,18,2,24,3,37,15,60,42,12,15,6,6,24,9,15,6,8,32,48,
12,36,18,1,1,3,3,12,12,3,18,18,6,6,1,3,2,6,3,1],[1,13,26,2,16,24,3,9,19,68,42,
4,8,1,6,6,24,11,15,4,6,8,8,32,48,4,8,4,8,16,8,8,2,4,4,1,3,1,3,12,12,2,1,2,2,4,
8,4,4,4,8,2,2,4,4,1,1,2,2,2,4,2,1,1],[1,29,10,2,13,3,60,39,66,4,8,7,14,9,8,6,
15,30,32,48,4,12,8,16,8,6,4,8,1,1,3,12,3,12,1,2,6,6,4,4,8,8,2,4,2,4,1,1,2,2,4,
2,1,2,1],[1,33,6,19,5,84,15,60,12,16,8,20,15,30,60,20,12,24,12,6,12,1,1,15,15,
3,6,6,12,12,6,6,1,3,2,6,3,1],[1,21,18,2,8,9,3,36,43,16,66,4,8,7,2,14,3,6,2,15,
30,2,32,48,8,4,4,12,8,12,8,2,2,4,2,8,1,3,12,1,3,12,1,2,2,2,2,4,8,2,8,6,2,3,2,
1,2,4,1,1,2,2,2,2,2,1,2,1],[1,21,18,2,24,7,9,16,15,60,50,4,8,1,6,6,24,2,2,9,
15,2,6,8,32,8,48,4,4,12,12,8,8,2,2,2,4,8,1,3,3,12,1,12,2,1,2,2,2,4,2,2,8,6,8,
1,2,3,2,4,1,2,1,2,2,2,2,1,2,1],[1,25,14,8,15,5,60,19,16,60,8,4,2,10,20,2,15,
30,2,60,20,8,4,4,4,8,4,24,4,2,2,2,8,1,1,15,15,1,2,2,4,8,2,4,8,2,6,4,2,1,3,2,1,
1,2,2,2,2,2,2,1,1],[1,25,14,2,9,9,36,41,12,74,8,4,1,7,14,3,6,3,17,30,8,32,48,
8,4,8,4,8,4,4,8,4,2,2,2,8,1,3,12,1,3,12,1,2,2,2,2,4,4,2,2,2,8,8,1,2,3,2,4,1,1,
2,1,1,1,2,1,2,1,2,1],[1,29,10,15,11,60,17,12,68,4,8,1,10,20,3,17,30,8,60,20,4,
4,16,4,8,4,8,2,2,4,2,8,1,1,15,15,1,2,2,2,4,4,2,2,8,4,8,2,4,3,1,2,1,1,2,1,2,1,
1,1,2,1,2,1],[1,13,26,2,16,24,3,9,19,68,42,4,8,1,6,6,24,11,15,4,6,8,8,32,48,4,
8,4,8,16,8,2,4,4,8,1,3,1,3,12,12,1,2,2,2,4,4,8,4,8,4,4,2,2,4,1,1,2,2,2,4,1,2,
1],[1,9,30,4,16,48,1,3,19,68,24,4,8,4,4,16,8,8,3,4,18,24,8,12,60,8,16,4,8,4,8,
4,2,4,8,1,12,1,3,12,3,1,2,4,4,8,2,2,4,8,4,2,4,4,2,1,1,2,2,2,4,2,1,1],[1,21,18,
16,3,35,4,21,36,36,12,15,3,1,9,9,4,8,24,8,12,12,36,12,18,6,6,12,8,1,1,3,1,3,3,
3,2,6,18,6,6,12,12,18,12,24,24,3,3,3,4,12,6,1],[1,9,30,32,24,3,1,4,27,48,12,
12,3,6,1,6,3,8,6,16,8,24,24,24,24,6,24,6,6,8,1,2,3,6,3,2,6,6,12,24,6,12,24,24,
24,3,6,4,12,6,1],[1,21,18,16,7,7,28,45,12,36,12,1,9,7,8,3,9,12,8,24,12,12,12,
36,6,18,6,12,8,1,3,1,1,3,3,3,2,18,6,6,12,12,6,18,12,24,24,3,3,3,4,12,6,1],[1,
33,6,13,7,80,3,12,36,12,1,14,16,6,3,3,6,8,24,24,24,24,6,6,6,24,8,2,1,3,3,6,2,
6,12,6,6,12,24,24,24,24,3,6,4,12,6,1],[1,13,26,48,3,7,4,41,28,20,12,1,7,1,7,5,
28,16,8,8,4,28,20,20,6,6,10,20,8,1,2,1,2,2,1,2,4,2,2,4,6,6,12,12,2,10,4,16,16,
8,8,16,16,1,2,2,4,4,4,8,2,4,1],[1,21,10,2,9,3,36,39,66,16,7,14,3,6,15,30,32,
48,24,1,3,12,3,12,4,12,12,1,6,1],[1,21,10,2,9,3,36,39,66,8,8,7,14,3,6,15,30,
32,48,4,8,12,1,3,12,3,12,2,2,2,8,2,2,8,2,1,1,1,4,1],[1,13,18,2,24,3,9,15,60,
42,16,1,6,6,24,9,15,6,8,32,48,24,1,3,3,12,12,4,12,12,1,6,1],[1,13,18,2,24,3,9,
15,60,42,16,1,6,6,24,9,15,6,8,32,48,8,16,1,3,3,12,12,4,8,4,4,8,1,2,4,1],[1,9,
22,4,48,1,3,15,60,24,4,4,8,4,4,16,8,6,3,18,24,12,60,4,2,2,4,4,8,1,12,3,12,3,1,
1,2,2,4,4,4,2,2,2,4,1,1,2,2,1,1],[1,21,10,2,9,3,36,39,66,16,7,14,3,6,15,30,32,
48,8,16,1,3,12,3,12,4,4,4,8,8,1,2,4,1],[1,25,6,15,5,60,15,60,4,12,10,20,15,30,
60,20,6,6,12,1,15,15,1,3,6,6,6,6,1,3,3,1],[1,13,18,2,24,3,9,15,60,42,8,8,1,6,
6,24,9,15,6,8,32,48,8,4,4,8,1,3,3,12,12,2,2,2,2,2,8,2,8,1,1,4,1,1],[1,15,12,4,
12,7,12,18,12,6,3,3,12,12,12,24,18,3,1,3,1,6,3,6,3,3,6,3,3,1,2,3,6,1],[1,11,
16,4,12,5,8,6,18,8,10,1,3,2,12,8,12,4,8,16,4,5,4,8,1,1,2,1,2,4,2,3,2,4,1,2,4,
2,3,1,1,2,1,2,2,1,2,2,2,1],[1,15,12,5,30,6,12,12,6,15,3,12,12,24,6,3,12,1,3,1,
6,3,3,6,6,3,3,3,1,2,3,6,1],[1,19,8,11,30,4,8,8,10,1,15,2,8,12,4,8,16,8,8,5,1,
1,2,1,2,4,2,2,3,1,4,1,4,3,2,2,1,2,1,2,1,2,2,2,2,1],[1,9,6,2,3,3,9,18,12,12,6,
9,6,6,6,6,6,6,48,1,12,3,12,3,12,3,4,1],[1,9,6,1,7,3,12,12,12,12,1,3,3,8,6,6,
24,8,8,1,6,2,2,6,6,3,3,6,3,6,6,1],[1,9,6,3,1,4,15,12,12,12,3,1,3,8,6,6,24,8,8,
1,6,2,2,6,6,3,3,6,3,6,6,1],[1,21,10,2,9,3,36,39,66,8,8,7,14,3,6,15,30,32,48,4,
4,4,4,4,4,32,1,3,12,3,12,8,2,8,2,8,2,4,2,2,2,4,1,2,4,2,4,2,1],[1,13,18,2,24,3,
9,15,60,42,8,8,1,6,6,24,9,15,6,8,32,48,4,4,4,4,4,4,32,1,3,3,12,12,8,2,8,2,8,2,
2,4,2,2,4,1,2,4,2,4,2,1],[1,17,14,8,7,1,28,19,16,12,12,4,3,2,7,8,2,3,2,8,8,4,
12,8,8,16,2,2,10,2,8,1,1,1,1,2,1,4,6,2,2,4,6,4,4,4,2,4,2,1,1,2,2,1,2,2,4,1],[
1,9,22,16,8,3,1,4,31,16,12,4,12,5,2,1,2,3,12,2,8,8,4,4,8,24,8,2,2,2,6,4,8,1,1,
1,1,1,2,4,2,2,6,4,4,2,4,4,4,2,6,1,1,2,2,1,2,2,4,1],[1,17,14,16,5,7,16,7,20,20,
12,4,1,2,2,5,3,2,4,8,8,8,4,8,4,8,8,16,2,14,2,2,4,1,1,1,2,1,1,4,2,2,4,2,4,2,4,
4,4,2,2,4,4,1,1,2,2,1,2,2,4,1],[1,13,18,8,3,7,4,21,28,20,8,8,1,3,2,1,5,5,2,8,
8,8,4,4,12,4,8,8,8,2,4,4,2,2,2,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,1,2,
1,2,4,1,1,1,1,2,1,1,1,2,2,2,1],[1,13,18,16,8,5,1,16,9,24,12,8,8,2,2,2,4,1,2,4,
2,8,8,8,4,8,8,4,24,8,4,4,2,2,4,1,1,1,2,1,1,2,2,4,4,2,2,4,2,6,4,2,2,2,2,4,1,1,
2,2,1,2,2,2,2,1],[1,17,14,16,5,7,16,7,20,20,4,4,8,1,2,2,5,3,2,4,8,8,8,4,8,4,8,
8,16,2,2,2,2,4,4,8,1,1,1,1,1,2,4,2,2,4,4,2,4,2,4,4,2,4,2,4,1,1,2,2,1,2,2,4,
1],[1,25,6,5,35,16,3,12,20,4,12,15,2,2,3,3,2,8,8,4,12,24,8,2,8,6,6,2,1,1,1,1,
2,1,4,6,6,2,4,6,4,6,2,4,1,1,2,2,1,2,2,4,1],[1,9,22,16,8,3,1,4,31,16,12,4,4,8,
5,2,1,2,3,12,2,8,8,4,4,8,16,8,8,2,2,2,2,4,12,1,1,1,1,2,1,4,2,2,2,4,4,4,2,4,4,
2,4,2,4,1,1,2,2,1,2,2,4,1],[1,21,10,7,7,20,17,12,28,8,8,1,3,3,2,3,5,2,8,8,8,4,
4,4,12,8,8,8,2,2,2,4,4,2,8,1,1,1,2,1,1,2,2,2,2,2,4,2,2,4,2,2,2,4,1,1,4,2,2,2,
1,1,1,2,1,1,1,1,2,2,2,1],[1,21,10,8,9,1,40,5,16,12,8,8,2,8,8,2,2,1,2,2,8,8,4,
8,4,8,24,2,8,4,2,8,1,1,1,1,1,2,2,2,2,4,6,2,4,2,4,4,2,4,2,2,2,1,1,2,2,1,2,2,2,
2,1],[1,17,6,5,7,16,3,12,20,8,12,1,2,2,3,3,2,8,8,8,8,2,2,12,6,8,16,1,1,2,4,1,
2,2,2,4,2,4,2,4,2,2,4,4,1,2,2,2,4,4,1],[1,13,10,3,7,4,17,12,20,12,8,1,3,1,3,5,
8,8,4,4,4,4,2,6,4,2,8,8,16,1,1,4,2,1,2,4,4,2,2,2,4,2,2,2,2,2,4,1,1,1,2,2,4,4,
1],[1,9,14,8,3,1,4,19,16,12,8,12,3,2,1,2,3,2,8,8,8,8,2,8,4,6,2,8,16,1,1,2,1,2,
4,2,2,4,2,2,4,4,2,2,4,4,1,2,2,2,4,4,1],[1,13,10,3,7,4,17,12,20,12,8,1,3,1,3,5,
8,8,4,4,4,4,8,14,4,2,2,16,1,1,2,2,1,4,4,4,2,2,2,4,2,2,2,2,2,4,1,1,1,2,2,4,4,
1],[1,13,10,3,7,4,17,12,20,4,16,1,3,1,3,5,8,8,4,4,4,4,2,2,2,24,16,1,1,4,1,4,4,
4,2,2,2,4,2,4,4,4,1,2,2,2,8,1],[1,17,6,5,7,16,3,12,20,20,1,2,2,3,3,2,8,8,8,8,
2,16,10,2,1,1,4,1,2,4,2,4,4,4,1,2,4,1],[1,17,6,5,7,16,3,12,20,4,16,1,2,2,3,3,
2,8,8,8,8,2,2,2,8,16,1,1,1,4,2,4,2,4,4,4,1,2,4,1],[1,17,6,5,7,16,3,12,20,8,4,
8,1,2,2,3,3,2,8,8,8,8,2,12,2,2,4,8,1,1,2,1,2,2,4,2,4,2,2,2,2,1,1,1,4,1],[1,9,
14,16,1,7,7,20,12,8,12,1,5,3,4,8,8,4,8,4,8,2,4,2,2,4,8,1,1,2,2,1,2,2,4,4,2,2,
1,1,2,1,1,1,2,2,1],[1,17,6,1,35,3,12,12,8,4,8,15,3,3,8,4,12,6,2,2,4,8,8,1,1,2,
1,2,6,6,2,1,2,1,2,1,1,1,2,2,1],[1,13,10,3,7,4,17,12,20,4,8,8,1,3,1,3,5,8,8,4,
4,4,4,8,2,4,2,2,4,8,1,1,2,1,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,9,14,8,3,1,4,
19,16,12,4,16,3,2,1,2,3,2,8,8,8,8,2,2,2,24,1,1,4,1,2,2,4,4,4,4,1,2,4,1],[1,9,
14,8,3,1,4,19,16,12,16,4,3,2,1,2,3,2,8,8,8,8,2,2,8,2,16,1,1,4,1,2,2,4,4,4,4,1,
2,4,1],[1,13,10,8,5,1,16,5,16,12,4,16,2,2,2,2,1,2,2,8,8,16,2,2,2,8,16,1,1,1,4,
4,4,4,4,4,1,2,4,1],[1,9,14,16,3,1,4,27,12,8,4,8,5,1,3,12,8,4,4,8,2,2,2,4,12,8,
1,1,1,2,2,2,4,2,4,2,1,1,2,2,1,1,1,2,2,1],[1,9,14,16,1,7,7,20,12,8,4,8,1,5,3,4,
8,8,4,8,4,2,2,2,4,4,8,8,1,1,2,1,2,2,2,4,4,2,1,2,1,2,1,1,1,2,2,1],[1,9,14,16,1,
7,7,20,12,16,4,1,5,3,4,8,8,4,8,4,14,2,2,4,8,1,1,2,2,1,2,2,4,4,2,2,1,1,2,1,1,1,
2,2,1],[1,9,14,16,3,1,4,27,12,16,4,5,1,3,12,8,4,4,8,2,2,6,12,8,1,1,3,2,2,4,2,
4,1,1,2,2,2,1,1,1,2,2,1],[1,13,10,3,7,4,17,12,20,12,8,1,3,1,3,5,8,8,4,4,4,4,2,
6,2,8,12,1,1,2,2,1,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,9,14,8,3,1,4,19,16,12,4,
16,3,2,1,2,3,2,8,8,8,8,2,2,2,8,16,1,1,1,4,2,2,4,4,4,4,1,2,2,2,1],[1,13,10,3,7,
4,17,12,20,12,8,1,3,1,3,5,8,8,4,4,4,4,14,2,2,4,8,1,1,2,1,2,2,2,2,4,2,2,2,2,2,
1,1,1,2,2,1],[1,5,18,16,8,1,1,9,24,4,4,8,8,2,4,1,4,2,8,8,4,8,4,4,2,2,2,4,8,8,
1,1,2,1,2,4,2,2,4,1,2,2,1,2,1,1,1,2,2,1],[1,17,6,7,1,28,15,12,8,4,8,3,7,8,3,8,
4,12,2,2,6,12,8,1,1,1,2,2,6,6,2,1,1,2,2,1,1,1,2,2,1],[1,9,14,8,3,1,4,19,16,12,
12,8,3,2,1,2,3,2,8,8,8,8,2,2,6,12,8,1,1,2,1,2,2,2,4,4,2,2,2,2,1,1,1,4,1],[1,9,
14,16,3,1,4,27,12,8,12,5,1,3,12,8,4,4,8,2,2,2,4,4,8,8,1,1,1,2,2,2,4,2,4,1,1,2,
2,2,1,1,1,2,2,1],[1,13,10,3,7,4,17,12,20,4,8,8,1,3,1,3,5,8,8,4,4,4,4,2,2,4,2,
12,8,1,1,2,1,2,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,13,10,8,5,1,16,5,16,12,4,16,
2,2,2,2,1,2,2,8,8,16,2,2,8,2,16,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,17,6,5,7,16,3,
12,20,20,1,2,2,3,3,2,8,8,8,8,2,2,10,16,1,1,1,4,2,4,2,4,4,4,1,2,2,2,1],[1,21,2,
9,1,40,1,12,4,16,8,8,2,1,2,8,4,8,4,2,2,6,12,8,1,1,3,2,2,2,4,4,2,1,1,2,2,1,1,1,
2,2,1],[1,25,22,2,24,9,9,36,45,60,90,4,4,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,
48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,1,3,12,3,3,12,3,12,12,4,1,4,1,4,2,2,2,2,
2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,1,1,4,1,1,1,4,4,8,1,4,1,1],[1,19,7,26,4,
18,1,2,3,12,6,6,9,6,2,1,6,3,6,3,6,6,1,3,3,1],[1,7,12,8,3,4,18,16,6,3,1,2,6,12,
6,12,3,2,1,6,3,6,6,3,6,1,3,3,1],[1,5,14,12,1,1,11,4,4,10,8,4,1,1,1,3,10,4,4,2,
3,2,1,4,2,5,2,2,1,2,2,2,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,
10,4,3,1,4,13,4,4,14,4,4,2,1,1,1,1,2,4,2,10,2,3,2,5,2,2,3,2,2,1,2,2,2,1,1,2,1,
2,2,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,16,8,8,1,6,10,4,10,8,1,1,2,2,8,6,4,
2,6,2,3,4,4,2,1,2,4,1,2,2,4,2,2,1,4,2,4,1,1,2,1,2,1],[1,9,10,4,1,7,9,8,4,6,12,
4,1,1,2,1,1,2,4,10,2,2,3,4,1,4,2,3,2,2,1,2,2,2,2,1,2,1,1,2,2,1,2,1,1,2,2,4,1,
1,1,1,1,1,1,1],[1,15,4,1,18,2,4,8,8,6,8,2,1,1,2,4,6,8,2,4,1,4,4,6,2,1,2,4,1,2,
4,2,1,2,4,2,4,2,1,1,2,1,2,1],[1,13,6,4,3,7,4,3,12,10,8,4,1,1,3,1,6,6,6,2,3,4,
5,2,3,2,2,1,2,2,2,3,3,3,2,1,2,1,1,2,6,1,1,1,1,1,1,1,1],[1,15,12,8,7,28,18,12,
6,3,7,8,2,6,12,24,6,6,3,2,1,3,6,6,6,3,6,3,1,3,1],[1,17,10,2,4,5,9,4,11,26,10,
4,4,1,6,1,11,1,10,10,6,4,4,4,4,5,3,2,3,2,2,1,3,3,5,2,2,2,3,1,1,2,6,1,1,1,1,1,
1,1,1],[1,17,10,4,7,1,20,13,4,12,10,4,4,2,3,2,1,1,2,1,8,2,4,2,10,8,8,8,3,3,2,
2,3,2,2,1,1,1,2,1,2,2,2,2,2,1,1,2,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,11,16,8,4,3,2,
4,2,26,12,10,8,3,4,1,2,2,4,4,8,4,6,4,12,8,6,5,4,2,1,3,6,4,2,2,4,2,1,6,2,1,1,1,
2,1],[1,13,14,2,4,5,3,4,21,4,18,6,8,4,2,6,1,1,9,1,2,4,2,10,4,4,4,4,4,4,1,2,3,
2,2,3,2,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,27,35,26,18,
15,2,3,36,6,9,6,2,1,9,6,9,6,3,1,3,1],[1,21,6,4,7,7,20,3,20,6,8,4,1,3,2,3,2,1,
8,6,6,6,8,8,8,3,2,3,2,3,2,2,1,3,3,2,3,2,2,1,2,1,2,1,2,6,1,1,1,1,1,1,1,1],[1,
23,4,2,7,30,6,16,4,14,1,2,3,2,4,4,4,4,4,12,14,8,2,3,10,2,1,2,3,4,6,1,2,4,2,6,
1,2,1,1,2,1],[1,23,4,5,42,2,4,8,4,14,2,15,1,2,12,14,8,8,2,2,1,10,2,1,1,2,2,4,
6,2,1,6,4,2,1,2,1,1,2,1],[1,19,8,2,1,22,8,4,24,18,2,1,1,2,6,4,4,4,4,14,16,4,2,
3,10,2,1,1,2,2,8,2,2,1,4,2,4,2,1,2,1,2,1,1],[1,13,14,4,8,3,7,4,7,16,12,14,4,1,
2,1,2,3,1,2,8,6,14,6,8,8,5,5,3,2,2,1,3,2,3,3,2,2,2,2,1,1,1,2,6,1,1,1,1,1,1,1,
1],[1,9,18,2,12,3,3,19,4,18,10,4,4,1,6,1,9,3,14,8,4,4,4,4,4,1,2,3,2,5,2,2,1,1,
3,1,2,2,2,2,2,2,1,3,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,18,4,8,3,1,4,17,20,4,10,4,
4,2,2,1,3,1,1,2,8,2,4,2,10,8,8,8,1,2,5,2,3,2,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,2,
2,2,4,1,1,1,1,1,1,1,1],[1,13,14,2,4,3,9,17,8,18,14,4,1,1,6,2,9,1,6,8,18,2,4,4,
5,3,2,3,2,2,1,2,3,2,1,3,2,2,2,3,3,1,2,4,1,1,1,1,1,1,1,1],[1,7,20,8,12,1,2,8,
18,12,4,6,8,1,1,4,2,2,2,4,4,4,4,8,8,6,4,8,2,6,2,1,4,2,1,2,1,2,2,4,4,1,2,4,2,2,
4,1,2,1,1,2,1],[1,9,18,4,8,1,7,13,24,4,10,4,4,1,1,2,4,1,1,2,8,2,4,18,2,8,8,5,
1,2,2,3,2,2,1,4,1,2,2,1,1,2,2,2,1,1,2,1,2,2,4,1,1,1,1,1,1,1,1],[1,5,22,12,8,1,
1,15,20,4,6,8,4,1,2,3,1,3,2,8,10,4,4,8,8,8,1,2,1,2,2,5,2,2,1,1,1,2,1,2,2,2,2,
2,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,13,14,12,5,1,16,11,4,12,14,4,1,2,2,1,
1,2,3,8,10,4,12,8,8,3,3,2,5,2,2,1,1,1,1,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,3,24,24,8,1,18,10,10,8,3,1,12,2,2,16,16,6,4,2,6,3,4,2,1,3,2,2,4,4,
2,4,3,2,4,1,2,1,1,2,1],[1,3,24,4,8,20,1,6,22,10,8,1,3,2,12,2,8,8,16,6,4,2,6,3,
4,2,1,3,2,2,4,4,2,4,3,2,4,1,2,1,1,2,1],[1,7,20,4,8,12,3,4,30,4,6,8,5,1,12,2,8,
8,6,12,8,6,2,3,4,2,1,3,6,4,2,1,2,4,2,6,1,2,1,2,1,1],[1,17,10,4,5,7,16,9,8,12,
10,4,4,1,1,2,2,2,1,2,1,8,2,4,10,10,8,8,3,2,3,2,3,2,2,1,2,1,2,1,2,1,2,2,2,1,2,
1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,15,12,16,1,18,6,12,8,4,6,8,2,1,3,2,4,8,4,6,8,
8,16,2,2,1,4,6,2,1,4,1,2,2,4,2,1,2,4,2,4,2,1,2,1,1,2,1],[1,27,11,50,18,1,2,17,
28,14,5,10,2,1,5,10,3,6,6,1,2,1,1,2,1],[1,13,18,16,3,7,4,21,12,12,16,1,3,1,3,
3,4,6,18,18,18,12,12,12,24,20,1,1,3,3,3,4,3,3,9,3,3,3,3,6,6,3,3,3,6,6,8,24,24,
24,1,3,3,3,3,3,3,6,6,1],[1,13,10,2,3,9,11,4,18,12,8,1,6,1,9,6,2,10,2,4,4,2,10,
4,2,2,2,4,16,4,1,4,1,1,4,1,1,4,1,2,4,2,1,1,3,2,2,1,3,2,2,4,4,1,1,1,1,1,1,1,2,
2,2,2,1],[1,9,14,2,3,3,13,8,18,8,12,6,2,9,4,4,8,4,8,2,8,4,6,2,2,2,16,4,1,4,2,
1,4,1,4,1,1,1,2,4,2,1,4,2,2,4,2,4,4,2,1,1,2,1,2,2,2,2,1],[1,13,10,2,5,3,4,15,
18,12,8,1,6,1,9,2,6,6,6,4,4,2,2,2,10,4,2,4,16,4,1,1,4,1,1,4,1,4,1,2,4,2,1,3,1,
2,3,1,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,9,14,2,8,3,3,13,18,8,4,8,6,9,2,4,
4,4,8,8,2,2,2,2,2,6,6,4,16,4,1,4,1,4,1,2,4,1,2,2,4,2,1,4,4,4,2,4,4,2,1,1,2,1,
4,2,2,1],[1,17,6,2,7,3,8,9,18,8,12,6,2,9,4,4,8,4,8,2,2,2,4,6,2,8,16,4,1,4,1,4,
1,2,4,1,1,1,2,4,2,1,4,2,2,2,4,4,4,2,1,1,2,1,2,2,2,2,1],[1,9,6,1,7,3,12,12,4,
12,8,1,3,3,8,8,4,2,2,4,8,8,1,2,2,2,2,2,2,1,2,1,2,1,1,1,1],[1,9,6,1,7,3,12,12,
12,12,1,3,3,8,8,12,4,2,2,8,1,2,2,2,2,2,2,2,1,1,2,1,1,1,1],[1,9,6,1,7,3,12,12,
4,4,16,1,3,3,8,2,2,8,16,8,1,2,4,4,1,4,1,2,2,1,1],[1,9,6,3,1,4,15,12,12,4,8,3,
1,3,8,2,2,4,8,12,8,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1],[1,9,6,3,1,4,15,12,4,4,16,3,
1,3,8,2,2,24,8,1,4,2,4,1,1,4,2,2,1,1],[1,9,6,1,7,3,12,12,12,4,8,1,3,3,8,12,2,
2,4,8,8,1,2,2,2,2,2,2,1,2,1,2,1,1,1,1],[1,5,10,8,1,1,5,16,4,8,8,8,2,2,1,2,8,4,
2,2,2,2,4,4,8,8,1,2,1,1,2,1,2,2,1,2,2,2,1,1,1,1],[1,9,6,3,1,4,15,12,12,12,3,1,
3,8,2,2,4,4,8,8,8,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,9,6,3,1,4,15,12,4,12,8,3,
1,3,8,2,2,4,12,8,8,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1],[1,13,2,5,1,16,1,12,8,16,2,
2,1,2,8,2,2,6,6,12,8,1,1,3,2,2,1,2,2,1,2,2,1,1,1,1],[1,17,14,5,7,16,7,20,20,4,
12,1,2,2,5,3,2,8,8,8,8,4,12,16,4,8,2,8,2,6,2,4,1,1,2,1,1,1,1,2,2,4,4,2,3,2,2,
4,2,2,2,2,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,17,14,8,7,1,20,11,16,12,12,4,1,2,
3,2,2,1,2,2,8,8,2,2,2,14,8,8,24,2,10,2,2,4,4,1,1,1,1,1,1,2,2,1,1,2,4,3,6,2,4,
2,1,2,1,2,2,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,17,14,8,7,1,12,19,16,12,4,12,3,2,
3,2,3,2,8,8,8,4,8,12,4,16,8,2,2,2,6,8,4,1,1,1,2,1,1,1,2,4,2,4,2,2,3,4,2,2,2,2,
2,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,17,14,8,5,7,16,7,20,12,12,4,1,2,2,2,3,1,2,
2,8,8,2,2,14,2,8,8,24,10,2,2,2,4,4,1,1,1,1,1,1,2,2,3,1,4,1,2,2,4,6,1,2,2,1,2,
2,4,4,1,1,1,1,1,2,1,1,2,2,2,1],[1,13,18,8,8,5,1,16,9,16,12,8,8,2,2,2,2,1,2,2,
2,8,8,4,4,4,16,16,16,2,2,6,6,4,4,1,1,1,2,1,2,2,2,4,4,1,4,4,4,2,4,4,4,4,1,2,2,
2,1,1,2,4,1],[1,17,6,5,7,16,3,12,20,4,1,2,2,3,3,2,8,8,8,8,2,2,2,8,1,1,1,2,4,2,
4,4,4,4,1,2,2,2,1],[1,9,14,8,3,1,4,19,16,12,4,3,2,1,2,3,2,8,8,8,8,2,2,2,8,1,1,
1,2,2,4,4,4,4,4,1,2,2,2,1],[1,27,8,4,11,2,52,2,14,28,4,10,1,4,9,8,4,2,4,4,16,
4,4,4,8,20,8,12,8,2,5,8,8,1,2,1,2,2,1,2,2,3,2,8,5,4,8,8,8,2,4,1,1,2,2,1,1,2,1,
2,2,2,1],[1,15,20,16,4,5,2,8,36,14,28,8,6,7,1,4,2,6,12,4,16,4,8,8,16,4,12,4,4,
8,4,3,8,8,2,1,1,2,2,1,2,4,3,8,8,4,2,1,8,8,2,1,2,3,2,2,2,1,1,2,1,2,2,2,1],[1,
11,24,16,16,2,1,10,16,36,16,4,10,4,1,5,2,4,4,4,8,4,4,16,4,4,8,20,12,8,8,8,2,5,
8,1,2,1,2,2,1,2,2,8,8,3,5,8,4,2,8,2,1,1,4,2,2,2,1,1,1,2,2,2,1],[1,15,20,16,8,
2,7,10,14,32,24,8,6,1,2,1,6,4,4,4,2,8,8,4,4,8,2,4,14,4,4,6,8,4,6,12,4,4,3,4,8,
1,1,1,1,1,1,2,1,1,1,3,2,4,4,4,1,1,1,2,4,3,3,4,4,4,4,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,23,12,2,35,10,10,24,32,8,6,15,1,6,6,4,16,4,4,8,24,12,4,
4,4,8,12,3,8,1,2,1,2,2,1,2,12,12,3,1,2,2,8,8,3,1,2,2,2,2,1,1,2,1,2,2,2,1],[1,
23,12,4,9,2,40,16,14,28,8,6,3,1,4,8,8,2,4,2,4,8,8,4,4,2,2,16,6,4,8,6,4,12,8,3,
4,8,1,1,1,1,1,2,1,1,1,1,6,1,1,1,4,7,3,4,2,4,3,4,4,4,1,1,2,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,11,24,1,28,8,1,1,6,27,22,19,4,2,8,3,3,2,3,3,15,1,2,8,2,
2,6,6,1,9,3,3,6,12,2,2,2,2,4,18,1,3,3,8,4,4,1,1,1,1,1,1,1,1,1,1,1,3,1,1,7,2,1,
3,3,4,2,2,3,7,4,3,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,4,2,7,
10,6,16,8,14,1,1,2,4,4,4,4,4,4,4,8,7,4,8,4,1,1,2,2,1,1,2,2,6,2,1,3,2,2,2,1,4,
1,2,2,2,1,2,1,2,2,1],[1,7,12,4,1,2,8,14,12,8,14,1,1,4,2,4,4,4,4,4,4,4,4,7,4,8,
4,1,2,1,2,1,1,2,2,6,2,1,1,2,2,2,3,4,1,2,2,2,1,2,1,2,2,1],[1,11,8,4,3,2,4,2,14,
12,12,10,1,4,1,2,4,4,4,4,4,4,10,5,4,8,4,1,1,2,2,1,3,4,4,1,2,2,2,2,2,2,1,1,2,1,
2,2,2,1,2,1,2,2,1],[1,11,8,4,3,2,4,2,14,12,12,10,1,4,1,2,4,4,2,2,2,2,4,2,2,2,
6,5,2,4,8,4,1,2,1,1,1,1,1,2,5,3,1,1,1,1,2,3,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1],[1,11,8,2,1,10,8,4,16,12,10,1,1,2,4,4,4,4,4,4,6,5,4,4,4,8,4,1,2,1,2,1,
3,4,4,1,2,2,2,1,2,1,2,2,2,1,2,2,1,2,2,1,2,2,1],[1,11,8,2,1,10,8,4,16,12,10,1,
1,2,4,4,4,2,2,2,2,4,2,4,6,5,2,2,2,8,4,1,1,1,1,2,1,1,2,5,3,1,1,1,1,3,1,2,1,1,3,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,9,6,2,3,3,9,18,4,4,6,9,2,2,2,2,2,2,16,8,1,
4,1,4,1,4,4,4,4,1,2,4,1],[1,19,35,6,14,15,1,12,3,4,4,1,3,3,2,2,1,1,1,1],[1,19,
11,30,14,1,15,12,7,4,1,3,2,3,2,1,1,1,1],[1,15,4,5,30,2,4,4,2,8,15,1,4,8,2,1,4,
4,1,1,2,2,2,1,2,1,1,1,1],[1,7,12,16,1,6,6,12,4,10,1,3,4,8,4,8,2,1,4,4,1,1,2,1,
2,2,2,1,1,1,1],[1,11,8,2,1,10,8,4,16,6,8,1,1,2,4,4,4,4,4,4,3,4,4,1,1,2,2,2,1,
2,1,1,1,1],[1,7,12,4,12,3,4,18,12,2,3,1,12,4,8,6,1,4,1,1,2,1,2,2,2,1,1,1,1],[
1,7,12,4,1,2,8,14,12,4,2,8,1,1,4,2,4,4,4,4,4,2,1,4,4,1,2,1,1,2,2,2,1,1,1,1],[
1,3,16,4,12,1,6,18,6,8,1,3,12,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,3,16,16,1,18,6,6,
8,3,1,12,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,11,8,4,3,2,4,2,14,12,8,6,1,4,1,2,4,4,
4,4,4,4,3,4,1,1,2,2,1,2,2,1,1,1,1],[1,15,4,7,28,6,4,2,8,1,7,8,4,8,2,1,4,4,1,1,
2,2,2,1,2,1,1,1,1],[1,15,4,2,7,10,6,16,4,10,1,1,2,4,4,4,4,4,4,2,5,4,1,2,1,2,1,
2,2,1,1,1,1],[1,13,10,8,5,1,8,5,16,4,12,8,2,2,2,1,2,8,2,2,2,4,2,4,12,10,4,4,8,
4,1,1,2,1,1,2,3,3,1,1,3,1,1,3,1,3,2,2,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,9,
14,8,3,1,4,11,16,4,8,12,1,2,1,2,1,2,8,2,2,4,2,8,2,4,4,4,6,4,4,8,4,1,2,1,1,1,1,
1,3,3,1,1,2,1,1,1,1,5,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,13,10,5,1,
16,5,8,12,12,8,2,2,2,1,2,8,2,2,2,4,4,2,12,4,6,4,4,8,4,1,1,1,2,1,2,3,3,1,1,1,1,
3,3,2,1,2,3,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,17,6,5,7,16,3,4,12,8,12,1,2,2,
1,1,2,8,2,6,8,2,4,2,4,4,8,6,8,4,1,1,1,2,1,1,1,3,3,1,1,1,2,1,1,2,1,5,2,1,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,8,8,5,8,6,10,4,6,1,1,2,2,2,8,8,6,4,4,
8,2,6,2,1,2,4,1,1,2,2,2,2,1,4,2,4,2,4,4,1,1,1,2,2,1],[1,15,12,1,18,6,12,8,10,
2,1,3,2,4,12,6,16,2,3,6,2,4,1,3,2,3,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,19,8,7,26,4,
8,4,6,1,2,3,2,8,12,4,6,8,2,3,6,2,4,1,2,3,1,2,6,6,2,4,4,1,1,1,2,2,1],[1,15,12,
8,7,12,18,10,3,3,2,6,12,20,6,5,2,4,1,5,6,3,6,2,4,4,1,1,1,2,2,1],[1,19,7,26,14,
1,2,3,12,6,7,6,2,4,4,1,1,3,6,2,2,6,2,4,4,1,1,1,2,2,1],[1,7,12,8,3,4,18,4,10,3,
1,2,6,12,6,2,5,4,2,4,1,1,3,6,2,2,6,2,4,4,1,1,1,2,2,1],[1,3,16,8,8,1,6,10,14,1,
1,2,2,8,6,4,2,6,5,4,2,4,1,1,1,2,2,4,2,2,2,4,2,4,4,1,1,1,2,2,1],[1,15,4,1,18,2,
4,8,4,10,2,1,1,2,4,6,8,2,2,3,6,2,4,4,1,1,1,2,4,2,2,2,4,2,2,4,4,1,1,1,2,2,1],[
1,15,12,2,7,10,10,16,24,4,14,1,1,4,4,4,8,4,4,2,6,4,6,4,4,6,4,2,12,2,7,2,8,4,1,
1,3,1,2,1,1,1,3,1,1,1,1,1,3,1,4,4,3,3,1,2,1,2,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1],[1,15,12,8,2,7,10,10,16,16,12,6,1,2,1,2,2,4,2,4,4,8,4,2,12,2,4,2,4,2,4,4,
10,3,2,2,4,8,4,1,1,1,1,1,1,2,1,1,3,1,2,1,4,2,1,1,4,1,1,1,1,2,1,2,3,2,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,12,2,7,10,10,16,24,12,6,1,1,4,4,4,8,4,4,2,
2,6,2,4,4,4,4,8,14,3,2,2,4,8,4,1,1,2,1,1,2,1,1,2,2,1,1,1,1,1,2,2,4,4,1,2,2,2,
1,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,8,2,1,10,12,20,16,8,10,2,
1,3,2,4,2,4,4,8,4,4,4,8,4,4,8,2,8,4,5,2,4,8,4,1,1,2,1,1,2,1,1,2,2,2,4,1,2,4,2,
2,1,2,1,1,1,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,12,4,5,2,8,16,14,
20,4,14,3,1,4,2,4,4,8,4,2,2,4,6,4,4,6,4,4,2,2,2,7,12,8,4,1,1,2,1,3,1,1,1,3,1,
1,1,4,1,1,1,4,3,1,3,2,2,3,1,4,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,19,8,4,7,2,
20,2,14,20,8,10,1,4,3,2,2,2,4,8,4,4,4,4,8,4,4,8,2,2,8,5,8,8,4,1,1,1,2,1,2,1,1,
2,2,2,1,2,4,2,2,4,1,2,1,4,1,1,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,12,
4,5,2,8,16,14,20,12,6,3,1,4,2,4,4,8,4,2,2,2,6,4,4,4,4,8,2,10,3,2,8,8,4,1,1,1,
2,2,1,1,1,2,2,1,1,1,4,1,2,1,4,2,1,2,2,2,1,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,15,12,4,5,2,16,8,14,20,12,6,1,1,4,2,2,2,2,4,8,4,2,4,4,10,2,4,2,4,4,2,
10,3,2,4,4,8,4,1,1,1,2,1,1,1,1,1,3,1,1,1,2,1,2,1,4,1,4,2,1,1,2,1,2,3,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,16,1,4,8,1,1,6,15,14,19,8,2,8,1,3,2,1,3,1,
1,2,2,2,6,6,1,5,3,3,2,4,2,2,2,2,4,6,1,2,2,3,9,8,4,4,4,1,1,1,1,1,1,1,1,1,1,1,3,
1,1,1,1,2,1,1,2,2,1,1,1,2,1,3,1,1,3,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,11,8,7,6,4,8,4,18,1,1,2,8,4,4,8,2,5,4,1,2,1,1,2,2,2,1,1,1,1],[1,15,4,7,
12,6,8,6,8,1,3,12,12,4,3,4,1,3,3,2,2,1,1,1,1],[1,7,12,1,6,6,12,14,8,1,3,12,12,
3,4,4,1,3,3,2,2,1,1,1,1],[1,11,8,5,8,6,6,4,2,16,1,1,2,8,4,4,8,2,1,4,4,1,1,2,2,
1,2,2,1,1,1,1],[1,5,14,8,4,2,5,2,4,2,8,12,1,2,1,4,8,4,8,1,2,4,4,1,1,2,1,2,2,2,
1,1,1,1],[1,5,2,1,1,1,4,8,12,1,2,2,4,2,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[
1,9,6,3,1,4,7,4,12,4,8,1,1,1,2,2,2,6,4,2,8,2,4,4,4,1,1,1,1,2,2,2,2,1,1,1,1,1,
2,4,4,1,1,1,1,1,1,1,1],[1,5,10,8,1,1,5,4,16,8,1,2,4,4,4,4,2,4,2,6,6,4,1,2,1,2,
2,2,2,2,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,9,6,1,7,3,4,4,12,4,8,1,1,1,2,2,6,2,
8,4,2,2,4,4,4,1,1,1,1,2,2,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,13,2,5,1,8,
1,4,4,12,2,1,4,4,4,2,2,4,4,8,4,4,1,2,1,1,1,2,1,2,2,4,4,2,2,2,1,1,1,2,2,1],[1,
5,10,1,1,5,8,4,4,12,2,1,4,4,4,2,8,4,2,4,4,4,2,1,1,1,1,2,1,2,2,4,4,2,2,2,1,1,1,
2,2,1],[1,13,10,5,1,8,5,8,4,12,2,2,1,4,4,4,4,4,4,2,8,4,4,8,4,4,4,2,1,2,1,1,1,
1,2,2,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,8,1,6,6,10,16,1,1,4,5,4,4,
4,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,3,4,6,12,6,8,1,1,4,6,3,4,4,1,1,1,2,2,2,2,1,1,
1,1],[1,5,6,4,2,1,2,4,6,8,12,1,1,4,1,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,
1,6,2,4,4,14,8,1,1,4,2,3,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,7,6,26,1,1,4,9,4,
4,1,1,1,4,2,2,1,1,1,1],[1,7,4,3,4,6,8,2,8,1,1,4,8,1,4,4,1,2,1,2,2,1,2,1,1,1,
1],[1,3,8,1,6,6,4,6,8,1,1,4,2,3,4,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,7,4,1,6,2,4,8,
10,1,1,4,4,1,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,11,7,6,4,14,1,1,4,6,3,4,4,1,2,1,
1,2,2,2,1,1,1,1],[1,3,12,1,8,7,3,6,6,4,1,2,4,4,4,3,3,2,12,4,3,1,1,2,2,2,1,1,1,
1],[1,3,4,1,3,3,10,6,4,1,3,3,2,2,12,4,4,3,1,1,2,2,2,1,1,1,1],[1,9,4,27,12,9,1,
1,3,1],[1,6,9,13,1,9,9,1,3,15,3,4,1,2,1,3,3,4,3,1,1,1],[1,12,3,1,12,1,9,9,3,1,
3,12,3,4,1,2,1,3,3,4,3,1,1,1],[1,3,12,4,9,10,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,
1],[1,3,12,4,9,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,9,1,12,1,3,3,4,9,3,
4,1,2,3,1,3,4,1,3,1,1],[1,9,4,9,3,1,3,4,9,3,4,1,2,1,3,3,4,1,3,1,1],[1,9,4,9,1,
3,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,9,13,3,1,3,4,9,3,4,1,2,1,3,3,4,1,3,1,1],[
1,21,13,1,9,9,42,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,1,12,1,9,9,6,36,3,9,4,1,
2,1,3,3,4,3,6,3,1,1],[1,21,4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,
4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,4,18,9,16,12,9,1,12,1,4,1,
2,1],[1,9,4,9,12,9,1,1,1,1],[1,15,5,30,16,15,1,1],[1,15,35,16,15,1,1],[1,5,18,
1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,27,16,23,30,18,16,3,15,36,
9,8,12,1,9,9,12,3,1,1],[1,9,18,16,2,3,3,27,18,18,16,3,6,9,18,18,9,8,12,1,9,9,
12,3,1,1],[1,9,18,16,2,12,3,3,15,18,6,12,16,6,9,3,6,6,12,12,3,6,8,12,1,3,6,6,
3,8,4,3,1,1],[1,21,6,16,2,3,21,9,18,18,16,3,6,9,18,18,9,12,8,1,9,9,12,3,1,1],[
1,9,18,16,2,3,3,15,12,18,6,12,16,6,3,9,6,6,12,12,3,6,12,8,1,3,6,3,6,4,8,3,1,
1],[1,15,12,16,5,30,6,12,12,6,16,15,3,12,24,6,3,8,12,1,3,6,6,3,4,8,3,1,1],[1,
21,6,16,2,9,3,12,9,18,6,12,16,6,3,9,6,6,12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[
1,27,16,35,18,18,16,15,3,36,9,20,1,9,9,12,3,1,1],[1,27,16,5,48,18,16,3,15,18,
18,9,20,1,9,9,12,3,1,1],[1,27,16,5,48,18,16,3,15,18,18,9,8,12,1,9,9,4,8,3,1,
1],[1,9,18,16,2,12,3,3,15,18,6,12,16,6,9,3,6,6,12,12,3,6,12,8,1,3,6,6,3,4,8,3,
1,1],[1,3,24,16,4,12,12,1,24,6,12,16,3,12,3,12,12,6,6,3,6,4,4,12,1,3,6,3,6,4,
4,4,3,1,1],[1,3,24,16,4,12,12,1,24,6,12,16,3,12,3,12,12,6,6,3,6,4,16,1,3,6,3,
6,4,8,3,1,1],[1,3,24,16,16,12,1,18,6,6,12,16,3,12,3,24,6,6,3,6,4,16,1,3,6,3,6,
4,8,3,1,1],[1,25,6,16,15,5,60,15,60,16,10,20,15,30,60,20,8,12,1,15,15,4,8,8,1,
1,1],[1,13,18,16,2,24,3,9,15,60,42,16,1,6,6,24,9,15,6,8,32,48,8,12,1,3,3,12,
12,8,4,8,1,1,1],[1,21,10,16,2,9,3,36,39,66,16,7,14,3,6,15,30,32,48,12,8,1,3,
12,3,12,4,8,8,1,1,1],[1,9,22,16,4,48,1,3,15,60,24,16,4,4,16,8,6,3,18,24,12,60,
4,4,12,1,12,3,12,3,4,4,4,8,1,1,1],[1,19,16,7,26,6,16,1,2,3,12,6,3,6,2,4,8,3,6,
6,4,8,8,1,1],[1,7,12,16,8,3,4,18,6,16,3,1,2,6,12,6,3,2,8,4,3,6,6,8,4,8,1,1],[
1,13,6,16,4,3,7,4,3,12,6,16,1,1,3,1,6,6,6,3,3,3,2,4,4,4,3,3,3,6,4,4,4,8,1,1],[
1,21,18,4,3,35,9,36,36,12,4,12,12,15,9,9,24,12,36,18,1,4,12,12,1,3,3,18,18,1,
3,3,4,3,1,3,3,1],[1,21,18,4,3,16,1,18,36,45,12,12,4,12,3,9,9,12,6,18,12,36,18,
1,4,12,12,3,1,3,18,18,1,3,3,4,3,1,3,3,1],[1,9,30,4,52,1,3,27,36,12,4,12,12,3,
9,21,24,3,27,9,9,9,9,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,9,30,4,3,
16,24,1,12,42,21,12,4,12,12,3,6,3,4,3,6,8,6,18,12,24,12,6,12,1,4,12,12,1,3,3,
6,12,6,12,1,2,1,1,2,4,3,1,1,2,1,2,1],[1,33,6,4,13,3,64,3,36,12,12,4,12,10,8,6,
3,6,24,12,24,12,6,12,1,4,12,12,1,3,3,6,6,12,12,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,
15,24,4,1,24,1,3,6,15,42,27,6,6,4,12,12,1,3,6,3,3,3,6,6,2,6,18,3,3,3,3,6,6,6,
6,12,3,3,12,1,4,12,12,1,3,3,3,3,3,6,3,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,27,
12,4,4,7,30,18,12,48,6,6,12,4,12,1,3,3,6,12,8,12,12,6,6,12,6,6,12,3,3,12,1,4,
12,12,1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,15,24,4,12,3,4,4,18,
42,36,6,6,4,12,12,3,3,12,1,6,12,8,12,6,6,6,12,6,12,3,3,12,1,4,12,12,1,3,3,3,3,
12,3,12,3,1,1,2,1,2,4,3,1,1,2,1,2,1],[1,19,16,11,30,6,16,1,15,12,3,20,1,3,3,4,
1,1,1],[1,19,16,35,6,6,16,15,1,12,3,20,1,3,3,4,1,1,1],[1,9,10,16,2,3,3,15,18,
6,16,1,6,9,6,6,3,12,8,1,3,3,4,1,1,1],[1,3,16,16,16,1,18,6,6,16,3,1,12,12,3,4,
16,1,3,3,4,1,1,1],[1,3,16,16,4,12,1,6,18,6,16,1,3,12,12,3,4,16,1,3,3,4,1,1,
1],[1,13,6,16,2,3,9,9,18,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,19,16,5,36,6,
16,1,15,6,6,3,8,12,1,3,3,4,1,1,1],[1,3,4,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,1],[
1,7,12,16,1,6,6,12,6,16,1,3,12,12,3,4,1,3,3,4,1,1,1],[1,15,4,16,7,12,6,6,16,1,
3,12,12,3,4,1,3,3,4,1,1,1],[1,19,12,4,9,16,18,10,6,8,8,4,3,4,12,24,9,3,1,4,4,
4,1,3,6,3,3,3,2,2,1,4,3,1,1,1,1],[1,13,18,4,4,12,6,3,6,12,4,12,8,8,4,3,1,3,12,
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],[1,3,28,4,12,12,1,12,6,6,
6,4,16,4,1,3,3,6,6,12,6,6,3,3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,
19,12,4,7,18,6,12,10,6,8,8,4,1,3,3,12,12,12,9,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,
3,1,1,1,1],[1,3,24,4,16,12,1,18,6,6,12,8,12,3,12,3,24,6,6,3,6,1,4,4,4,1,3,6,3,
6,2,3,4,3,1,1,1,1],[1,3,24,4,4,12,12,1,24,6,12,8,12,3,12,3,12,12,6,6,3,6,1,4,
4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,21,6,4,9,1,16,15,12,6,12,8,12,3,4,3,8,12,6,
12,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,15,12,4,7,28,18,12,6,8,
12,3,7,8,12,24,6,3,1,4,4,4,1,3,6,6,3,2,1,2,4,3,1,1,1,1],[1,9,18,4,1,12,1,6,18,
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],[1,3,24,4,16,12,1,18,6,6,12,8,12,3,12,3,24,6,6,3,6,1,4,4,4,1,3,6,3,6,2,3,4,
3,1,1,1,1],[1,3,24,4,4,12,12,1,24,6,12,8,12,3,12,3,12,12,6,6,3,6,1,4,4,4,1,3,
6,3,6,2,3,4,3,1,1,1,1],[1,9,18,4,2,12,3,3,15,18,6,12,8,12,6,9,3,6,6,12,12,3,6,
1,4,4,4,1,3,6,6,3,2,3,4,3,1,1,1,1],[1,3,24,4,1,12,16,3,18,3,6,12,8,12,1,2,3,3,
3,6,6,12,6,6,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,15,12,4,16,1,6,
6,12,12,6,12,8,12,3,3,4,8,6,6,24,3,6,1,4,4,4,1,6,3,3,6,2,1,2,4,3,1,1,1,1],[1,
27,4,35,18,18,8,12,15,3,36,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,9,18,4,1,7,9,
24,12,6,12,8,12,1,6,3,8,12,6,12,6,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,27,4,5,48,18,8,12,3,15,18,18,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,13,6,4,
3,3,4,3,12,10,12,4,4,4,1,3,6,6,9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,13,6,4,3,7,3,12,10,12,4,4,4,1,3,6,6,9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,
4,3,1,1,1,1],[1,7,12,4,3,4,9,9,4,6,12,4,4,4,3,1,6,6,3,3,3,6,12,1,4,4,4,3,1,3,
3,3,3,3,1,1,1,4,3,1,1,1,1],[1,9,10,4,1,3,9,12,6,16,4,4,4,1,3,3,3,3,3,3,12,12,
1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,9,14,4,1,16,1,6,24,15,4,20,3,3,3,
12,2,6,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,17,6,4,1,35,3,12,12,4,20,
15,3,3,8,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,5,18,4,28,1,1,21,12,4,
20,3,3,15,8,1,9,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,17,6,4,7,1,
28,15,12,4,20,3,7,8,3,8,4,12,6,1,4,4,4,1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,3,4,16,
1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,7,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[
1,3,12,16,1,6,12,16,3,6,6,3,3,6,4,1,3,3,4,3,1,1],[1,15,16,1,6,12,16,6,3,3,6,3,
6,4,1,3,3,4,3,1,1],[1,15,4,1,6,12,8,12,6,3,3,6,3,4,6,4,4,4,1,3,3,6,6,1,4,3,1,
1,1,1],[1,3,12,4,1,6,12,8,12,3,6,6,3,4,3,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,
5,6,4,1,1,3,10,20,1,3,3,3,3,3,3,6,10,4,4,4,1,1,3,1,3,3,3,1,4,1,1,1,1,1],[1,9,
7,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,27,7,6,27,6,30,27,2,2,27,2,6,12,1,6,1,2,1],[1,
9,18,7,6,27,6,6,6,18,9,18,2,2,9,18,2,6,6,6,1,6,1,2,1],[1,11,11,11,1,1,1,1],[1,
15,35,8,15,8,1,1,1],[1,15,7,28,8,7,8,8,1,1,1],[1,15,16,10,5,30,6,10,10,10,5,6,
6,6,5,10,6,5,1,1],[1,15,16,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,31,
10,35,6,20,10,5,12,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,
5,1,1],[1,25,10,15,5,15,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,
15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,20,15,
6,20,10,15,6,5,10,6,5,1,1],[1,5,18,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,
1],[1,3,7,15,1,21,1,7,3,7,1,2,1,1,3,1,1],[1,29,42,112,7,35,28,105,84,84,28,15,
21,7,8,21,21,84,56,56,56,28,84,84,84,42,42,42,84,56,1,1,7,7,7,7,7,7,21,21,21,
28,14,14,42,42,42,42,42,84,84,42,42,42,84,84,56,168,168,168,7,7,21,21,21,28,
28,84,84,84,42,42,42,84,56,7,7,21,28,1],[1,29,42,14,168,7,49,63,252,126,28,17,
42,42,168,48,63,63,126,168,168,504,28,84,42,1,7,14,168,21,63,252,126,7,42,42,
42,42,21,42,7,14,42,21,1,7,7,1],[1,21,50,14,16,168,7,21,67,260,126,4,8,16,3,
42,42,168,48,65,63,4,126,168,8,168,504,4,8,4,16,32,8,16,8,16,8,2,4,4,8,16,7,
14,168,21,1,63,252,126,2,1,4,2,2,4,8,8,16,4,4,8,16,4,8,2,8,8,2,4,16,4,16,4,4,
8,8,21,42,1,2,4,2,4,8,2,4,8,8,16,4,2,2,8,1,4,4,1,1,2,4,1,4,2,1],[1,45,26,6,16,
45,15,180,147,270,12,16,47,90,45,90,135,270,12,360,360,12,12,24,16,48,6,12,24,
6,15,45,180,1,135,270,3,4,6,12,24,6,12,24,12,24,6,12,24,6,18,45,3,4,6,12,2,12,
24,3,6,12,1,1,6,1,6,1],[1,53,18,6,49,15,204,135,270,4,24,45,90,51,8,90,135,
270,360,360,4,12,24,48,24,6,12,24,6,1,15,45,180,135,270,1,6,6,6,12,12,24,24,6,
12,6,12,24,24,18,45,1,6,6,12,6,8,24,3,6,12,1,3,4,3,4,1],[1,49,30,6,24,45,21,
180,141,60,294,12,12,1,45,6,90,24,45,90,9,141,270,6,8,32,360,360,48,12,12,12,
12,24,24,24,24,48,6,6,6,6,6,6,48,6,15,45,180,3,3,12,135,270,12,12,3,12,3,12,6,
6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,6,12,6,6,6,12,18,45,1,12,3,
3,3,12,12,24,3,12,2,6,6,12,2,6,6,6,6,12,6,12,6,12,3,1,6,6,6,6,3,3,1],[1,33,46,
14,168,13,21,36,93,252,174,12,12,3,7,42,50,168,3,6,48,63,69,30,126,168,168,32,
48,504,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,7,3,12,14,168,21,63,252,3,12,
126,12,3,12,3,12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,6,6,12,6,
6,12,1,21,42,12,3,3,3,12,12,24,3,12,12,12,2,2,6,6,6,6,6,6,6,12,6,12,3,1,6,6,6,
6,3,3,1],[1,41,6,13,35,80,3,12,36,4,36,15,14,16,6,3,3,6,8,24,4,12,72,24,24,6,
24,6,18,6,24,8,1,2,1,3,1,6,3,6,2,12,6,6,6,12,18,6,12,24,24,18,6,12,24,24,1,3,
6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,17,30,32,24,7,1,28,27,48,12,28,12,3,
6,7,8,6,3,8,6,16,8,24,4,12,24,24,24,48,6,24,6,18,6,24,8,1,1,2,3,1,6,6,3,2,12,
6,6,6,12,24,6,6,12,12,24,12,6,12,6,24,24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,
4,1],[1,9,38,48,24,3,1,4,39,48,12,4,20,16,5,6,1,6,3,20,6,16,8,24,4,4,8,32,40,
24,24,6,24,6,2,10,4,24,8,8,1,1,2,3,6,1,4,3,2,2,4,8,6,2,10,4,12,24,8,6,2,12,4,
24,4,8,4,4,2,6,8,24,24,3,1,6,2,2,4,4,1,2,4,12,6,2,2,4,4,4,8,4,8,1,1,2,1,2,4,4,
1],[1,21,26,48,7,7,20,41,28,28,24,8,8,1,7,3,2,7,5,2,28,16,8,8,8,4,28,20,28,8,
8,8,16,16,2,18,2,8,4,10,20,4,8,8,8,1,2,1,2,1,2,2,2,1,1,2,2,4,2,2,4,2,4,2,4,6,
6,12,12,4,2,2,4,2,10,6,2,4,16,16,4,2,2,4,2,1,2,4,1,4,2,2,2,4,4,8,8,16,16,1,2,
2,1,4,2,1,2,2,2,2,1,1,1,1,4,4,8,2,4,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,13,34,48,8,3,7,4,45,44,20,16,16,8,1,7,2,1,9,5,28,2,16,8,8,
8,4,28,28,20,16,24,8,8,2,8,4,6,6,10,20,12,8,8,8,1,2,1,2,1,2,2,1,1,2,4,2,2,2,2,
2,4,4,2,2,6,6,6,6,12,12,4,2,10,4,2,4,4,16,16,2,2,1,2,4,1,2,4,2,6,2,4,4,8,8,16,
16,1,1,2,2,4,2,2,1,1,2,2,2,1,1,1,4,4,8,2,4,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,21,26,16,8,7,7,28,49,28,36,24,8,8,1,9,2,7,8,5,9,
12,2,8,24,8,12,12,20,36,16,8,8,8,16,2,8,4,22,2,6,20,12,8,8,1,3,1,1,1,3,5,2,3,
1,2,2,4,2,2,4,18,2,2,6,6,2,12,12,4,6,4,2,18,4,4,12,2,4,2,1,2,4,1,2,2,4,2,2,4,
4,24,24,3,1,3,3,2,2,1,1,2,2,2,1,1,1,4,12,6,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,33,14,16,13,7,80,7,20,36,12,12,16,1,14,16,6,5,3,6,
4,8,8,24,4,8,4,24,24,24,16,32,6,14,6,6,4,8,16,24,8,2,1,1,3,2,3,1,4,6,2,4,8,2,
2,4,8,6,12,6,6,4,4,12,24,24,2,4,8,2,4,8,4,4,24,24,1,3,6,2,4,2,4,1,2,4,12,6,2,
2,4,4,4,8,4,8,1,1,2,1,2,4,4,1],[1,29,18,16,7,35,20,21,36,44,16,16,8,15,3,3,2,
9,9,2,4,8,24,8,8,12,12,36,20,24,8,8,16,2,8,18,6,8,4,6,12,4,8,8,8,1,1,3,1,1,2,
3,2,3,1,3,2,2,2,4,2,4,6,18,6,6,12,12,4,18,2,4,6,2,2,12,4,6,2,4,2,4,1,2,4,1,4,
2,2,2,24,24,3,3,3,1,1,2,2,2,2,2,1,1,1,1,4,12,6,2,2,1,1,2,2,2,2,2,2,2,2,2,4,4,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,21,34,4,16,48,7,3,12,57,60,48,12,24,9,4,4,16,
3,8,6,9,12,18,24,12,24,60,12,12,24,12,48,12,12,24,24,6,6,6,12,12,24,24,12,3,1,
1,12,3,12,3,6,3,3,6,3,3,3,6,12,6,6,12,12,12,24,6,6,3,12,24,12,6,3,12,6,6,9,12,
6,12,12,1,3,6,3,6,3,4,3,6,3,3,6,1,3,3,3,6,2,6,3,6,6,6,3,9,3,6,6,12,6,6,6,6,1,
3,3,3,3,3,3,6,6,1],[1,29,26,4,48,11,3,52,29,60,48,20,16,3,4,4,16,9,8,4,8,6,5,
4,18,24,12,16,8,60,8,4,4,24,12,16,20,12,24,56,2,4,2,22,8,4,8,16,24,4,8,1,1,1,
12,3,12,2,3,3,6,2,2,1,4,2,1,1,5,10,8,8,6,2,4,4,8,8,8,14,16,5,4,8,8,6,8,8,16,7,
4,12,2,10,5,2,6,6,8,8,4,4,1,1,4,1,2,2,2,2,6,4,1,1,2,4,5,4,1,2,2,1,3,2,1,3,4,2,
2,6,1,2,2,6,4,2,4,1,2,1,3,8,4,4,2,2,4,8,2,4,6,6,2,4,1,1,2,1,2,1,2,2,1,1,2,1,2,
4,2,2,2,2,1],[1,37,18,15,39,60,21,36,84,12,24,15,10,20,9,21,30,24,60,20,12,36,
48,12,12,24,12,24,6,24,18,12,6,24,12,1,1,3,15,15,3,6,3,6,3,3,3,6,12,18,18,6,
12,12,3,6,6,24,12,24,12,6,12,9,3,6,6,12,12,1,3,3,6,3,4,6,3,3,3,6,6,1,3,3,3,6,
2,6,3,6,6,6,3,9,3,6,6,6,6,6,12,6,1,3,3,3,3,3,3,6,6,1],[1,29,26,16,16,15,11,60,
25,44,68,20,16,1,4,10,20,7,17,30,4,4,8,8,60,20,16,4,8,20,8,16,12,20,24,12,56,
2,16,18,8,4,2,4,12,24,4,8,1,1,1,2,15,15,2,4,2,1,3,6,2,1,1,5,10,8,4,4,4,8,8,16,
2,6,4,4,5,8,16,6,14,8,4,8,4,8,2,2,12,6,4,5,7,6,10,8,8,4,4,1,2,4,1,2,1,2,4,4,1,
2,2,4,2,1,5,1,6,2,1,3,1,2,4,3,2,2,6,2,1,2,2,4,4,6,2,1,1,3,8,2,2,4,4,2,6,6,4,8,
4,4,2,1,2,1,1,2,1,2,1,2,1,2,1,2,4,2,2,2,2,1],[1,17,6,1,35,3,12,12,16,12,24,15,
3,3,8,4,12,6,6,6,12,24,24,8,8,1,1,6,1,6,2,2,6,6,6,6,6,3,6,3,6,1,3,3,6,6,6,6,1,
3,3,1],[1,17,6,7,1,28,15,12,16,12,24,3,7,8,3,8,4,12,6,6,6,36,24,8,8,1,1,1,6,6,
2,2,6,6,6,6,6,3,3,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,9,14,16,1,7,7,20,12,24,20,8,1,
5,3,4,8,8,4,8,4,8,14,4,6,6,4,4,8,24,8,8,1,1,6,2,2,1,2,2,2,6,6,2,2,4,4,2,2,2,2,
2,3,2,3,6,1,1,1,1,3,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1],[1,9,14,16,3,1,4,27,12,
24,20,8,5,1,3,12,8,4,4,8,6,6,6,4,12,12,8,24,8,8,1,1,3,2,2,6,2,2,6,6,2,4,2,4,2,
3,3,2,2,2,2,2,6,1,1,1,1,3,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1],[1,13,26,2,16,24,3,
9,19,68,42,28,16,1,6,6,24,11,15,4,6,8,8,32,48,4,8,4,8,16,8,4,8,30,8,4,4,4,4,
32,1,3,1,3,12,12,8,4,2,2,8,2,1,8,2,2,4,8,4,4,4,8,2,2,2,12,12,2,4,2,2,4,4,4,1,
1,2,2,2,4,6,2,1,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,21,18,2,24,3,37,15,60,42,20,8,
16,15,6,6,24,9,15,6,8,32,48,12,36,4,22,4,4,4,4,8,16,32,1,1,3,3,12,12,8,3,2,8,
2,4,8,18,18,2,8,6,4,6,2,4,4,2,2,4,8,1,3,2,6,3,2,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[
1,13,26,2,16,24,3,9,19,68,42,12,16,16,1,6,6,24,11,15,4,6,8,8,32,48,4,8,4,8,16,
8,4,8,6,8,4,4,4,4,8,16,32,1,3,1,3,12,12,8,2,2,8,2,1,4,8,2,2,4,4,8,4,8,4,2,2,4,
2,4,8,2,4,4,8,2,2,4,4,1,1,2,2,2,4,2,4,1,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,13,26,2,16,24,3,9,19,68,42,12,16,16,1,6,6,24,11,15,4,6,8,8,32,48,4,8,4,8,16,
8,4,8,6,8,4,4,4,4,8,16,32,1,3,1,3,12,12,8,2,2,8,2,1,4,8,2,2,4,8,4,4,4,8,2,2,8,
2,4,2,4,4,2,2,4,4,4,8,1,1,2,2,2,4,2,2,1,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,21,18,
2,16,9,3,36,51,66,20,8,16,9,14,3,6,15,30,12,32,48,4,4,8,8,24,4,4,4,10,4,4,12,
24,32,1,3,12,1,3,12,8,3,4,2,8,2,8,2,4,12,2,4,12,4,12,2,4,2,2,4,12,2,2,2,4,1,1,
2,2,2,4,1,2,6,2,4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,21,18,2,16,9,3,36,51,66,
20,24,9,14,3,6,15,30,12,32,48,12,12,24,4,4,4,10,12,4,12,16,32,1,3,12,1,3,12,8,
3,2,8,2,4,8,6,12,6,12,2,4,2,6,2,4,4,6,2,4,8,8,1,3,6,2,2,3,2,4,2,4,4,2,4,4,1,1,
1,2,2,1],[1,29,10,2,13,3,60,39,66,12,16,16,7,14,9,8,6,15,30,32,48,4,12,8,16,8,
4,4,4,10,8,4,24,8,32,1,1,3,12,3,12,1,8,4,2,8,2,2,8,6,6,4,4,8,8,12,2,4,2,12,2,
2,4,2,4,2,4,1,1,2,2,4,2,1,2,6,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,29,10,2,13,3,60,
39,66,12,32,7,14,9,8,6,15,30,32,48,4,12,8,16,8,4,4,4,10,16,4,24,32,1,1,3,12,3,
12,1,8,2,8,2,6,8,6,6,4,4,8,8,2,4,2,2,6,4,6,4,2,4,8,8,1,1,2,2,4,2,3,2,2,4,2,4,
4,2,4,4,1,1,1,2,2,1],[1,25,22,2,24,9,9,36,45,60,90,20,4,16,1,7,6,14,24,3,6,9,
21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,26,2,2,2,2,8,16,16,1,3,12,3,3,12,3,
12,12,4,4,1,4,1,4,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,8,12,4,12,4,8,
1,1,4,1,1,1,4,4,8,1,4,6,2,4,1,4,4,8,1,1,2,2,1,1],[1,25,22,2,24,9,9,36,45,60,
90,20,4,16,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,
10,2,2,16,24,16,1,3,12,3,3,12,3,12,12,4,4,4,1,4,1,4,2,2,2,2,2,4,4,4,16,2,2,4,
2,4,16,4,4,16,4,16,4,16,4,4,16,4,1,1,4,1,1,1,4,4,8,1,4,2,2,8,1,4,4,4,4,2,1,1,
2,1,1],[1,25,22,2,24,9,9,36,45,60,90,4,4,32,1,7,6,14,24,3,6,9,21,30,6,8,32,32,
48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,32,16,1,3,12,3,3,12,3,12,12,4,1,4,1,8,
4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,16,8,8,16,1,1,4,1,1,1,4,4,8,1,4,
4,8,1,4,8,4,2,2,2,1,1],[1,25,22,2,24,9,9,36,45,60,90,4,20,16,1,7,6,14,24,3,6,
9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,10,2,24,16,16,1,3,12,3,3,
12,3,12,12,4,4,1,4,1,4,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,12,12,4,
4,8,8,1,1,4,1,1,1,4,4,8,1,4,2,6,4,1,4,4,8,1,1,2,2,1,1],[1,25,22,2,24,9,9,36,
45,60,90,4,36,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,
2,2,18,2,32,16,1,3,12,3,3,12,3,12,12,4,1,4,1,8,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,
16,4,4,16,4,16,8,8,16,16,1,1,4,1,1,1,4,4,8,1,4,4,8,1,8,4,4,2,2,2,1,1],[1,25,
22,2,24,9,9,36,45,60,90,4,20,16,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,
4,8,8,8,8,16,2,16,2,10,2,2,2,8,16,16,1,3,12,3,3,12,3,12,12,4,4,1,4,1,4,4,2,2,
2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,4,4,4,16,4,16,1,1,4,1,1,1,4,4,8,1,4,2,
8,2,1,4,4,4,4,2,1,1,2,1,1],[1,25,6,5,35,16,3,12,20,12,20,16,15,2,2,3,3,2,8,8,
4,12,24,8,2,8,6,6,12,6,8,16,8,16,1,1,1,2,4,1,2,1,4,2,2,2,4,4,6,6,2,4,6,4,6,2,
4,4,2,4,2,4,4,1,1,2,2,2,2,1,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,17,14,16,5,7,
16,7,20,20,20,28,1,2,2,5,3,2,4,8,8,8,4,8,4,8,8,16,2,16,14,10,12,6,4,8,16,1,1,
1,2,4,2,4,1,1,2,2,2,4,4,2,2,4,2,4,2,4,4,4,4,4,2,2,2,2,4,4,4,4,1,1,2,2,1,2,2,2,
2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,21,10,7,7,20,17,12,28,16,24,8,1,3,3,2,3,5,2,
8,8,8,4,4,4,12,8,8,8,2,16,14,10,4,4,2,4,8,24,1,1,1,2,2,4,1,1,2,4,2,4,4,2,2,2,
2,4,2,2,4,2,2,2,4,4,4,2,2,2,1,2,1,4,2,2,2,4,1,1,1,2,1,1,1,2,2,1,1,1,2,2,2,4,2,
4,4,4,2,2,1,1,1,1,1,1,1,1],[1,17,14,8,7,1,28,19,16,12,20,12,16,3,2,7,8,2,3,2,
8,8,4,12,8,8,16,2,8,4,6,10,2,16,24,16,1,1,1,1,2,2,4,1,2,4,2,4,2,4,6,2,2,4,6,4,
4,4,4,2,2,2,4,4,2,4,4,1,1,2,2,2,1,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,9,22,
16,8,3,1,4,31,16,12,28,20,5,2,1,2,3,12,2,8,8,4,4,8,24,8,2,8,4,6,10,6,28,8,16,
1,1,1,2,5,1,2,2,4,2,2,4,4,2,2,6,4,4,2,4,4,2,2,4,4,2,6,4,4,4,1,1,2,2,2,1,2,2,2,
2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,17,14,16,5,7,16,7,20,20,20,12,16,1,2,2,5,3,2,
4,8,8,8,4,8,4,8,8,16,2,14,2,12,6,4,8,16,8,16,1,1,1,2,4,2,1,1,4,2,2,2,4,4,2,2,
4,4,2,4,2,4,4,2,4,4,2,2,4,4,2,4,4,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,
1,1,1,1,1],[1,13,18,8,3,7,4,21,28,20,24,16,8,1,3,2,1,5,5,2,8,8,8,4,4,12,4,8,8,
8,2,4,4,10,6,2,16,12,8,24,1,1,1,4,4,2,1,1,2,2,4,4,2,2,2,2,2,2,2,2,4,4,2,2,4,2,
2,1,2,1,4,2,2,2,4,4,2,4,1,1,1,1,2,1,2,1,1,2,1,1,2,2,2,4,4,2,4,4,2,2,1,1,1,1,1,
1,1,1],[1,9,22,16,8,3,1,4,31,16,12,12,20,16,5,2,1,2,3,12,2,8,8,4,4,8,16,8,8,2,
8,4,6,2,6,12,24,8,16,1,1,1,2,1,4,1,2,2,4,2,2,4,4,2,2,2,4,4,4,2,4,4,4,2,4,2,4,
2,2,4,4,4,1,1,2,2,2,1,2,2,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,1],[1,13,18,8,3,
7,4,21,28,20,8,16,24,1,3,2,1,5,5,2,8,8,8,4,4,12,4,8,8,8,2,4,4,2,6,2,36,16,8,8,
1,1,1,6,1,1,4,2,2,2,2,4,4,2,2,2,2,2,2,4,4,2,2,4,2,6,1,2,4,1,6,2,2,2,4,1,1,1,1,
2,2,1,3,1,1,1,2,2,4,2,2,4,8,2,2,1,1,1,1,1,1,1,1],[1,21,10,7,7,20,17,12,28,16,
8,24,1,3,3,2,3,5,2,8,8,8,4,4,4,12,8,8,8,2,14,2,4,4,2,28,24,8,1,1,1,2,2,4,1,1,
6,2,2,4,4,2,2,2,4,2,2,4,2,2,2,4,4,2,6,2,1,6,1,4,2,2,2,1,1,1,2,1,1,3,2,1,1,1,2,
2,2,2,4,4,8,2,2,1,1,1,1,1,1,1,1],[1,21,18,16,7,7,28,45,12,36,20,8,16,1,9,7,8,
3,9,12,8,24,12,12,12,36,8,18,4,18,6,12,24,16,16,8,1,3,1,1,3,2,2,3,4,3,4,4,2,4,
4,4,4,18,6,6,12,12,6,18,12,2,4,2,2,4,2,4,4,24,24,3,3,3,1,2,1,2,2,4,12,6,2,2,4,
4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,13,26,48,3,7,4,41,28,20,28,16,1,7,1,7,5,28,
16,8,8,4,28,20,20,8,18,4,10,4,10,28,8,32,8,1,2,1,2,4,2,2,4,1,2,4,2,4,2,4,4,4,
4,2,4,6,6,12,12,2,10,4,16,16,2,2,2,2,2,2,2,2,4,4,8,8,16,16,1,2,2,4,1,1,1,1,2,
2,4,4,8,2,4,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,21,18,16,3,35,4,21,36,
36,20,8,16,15,3,1,9,9,4,8,24,8,12,12,36,12,18,10,4,6,20,24,16,8,16,8,1,1,3,1,
4,3,2,4,3,3,4,2,2,4,4,4,4,6,18,6,6,12,12,18,12,4,4,2,4,2,2,2,4,24,24,3,3,3,2,
1,1,2,2,4,12,6,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,25,22,2,24,9,9,36,45,
60,90,20,20,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,10,10,
10,10,10,10,80,1,3,12,3,3,12,3,12,12,20,5,20,5,20,2,2,2,2,2,4,4,4,16,2,2,4,2,
4,16,4,4,16,4,16,4,4,8,4,4,8,4,4,4,8,4,8,1,1,4,1,1,1,4,4,8,1,4,4,8,4,4,8,8,4,
8,5,8,2,2,2,1,1],[1,33,30,2,16,24,13,9,60,73,60,106,20,12,1,13,6,14,24,9,8,6,
9,25,30,12,6,8,32,32,64,48,12,20,20,52,16,24,16,16,8,32,2,6,2,22,6,6,20,8,32,
8,1,1,5,12,1,3,3,12,3,12,12,3,8,5,3,4,1,2,4,2,4,8,4,18,2,6,10,6,12,20,4,4,32,
6,2,4,2,22,8,16,4,4,4,32,20,8,8,8,16,4,6,4,2,8,6,6,8,24,24,1,1,3,4,1,1,3,4,8,
8,5,1,2,4,6,4,2,2,4,2,2,2,2,8,2,4,1,2,3,4,2,1,4,12,6,2,2,4,2,2,2,4,4,4,8,4,4,
8,4,8,4,1,2,1,1,1,1,2,1,1,2,2,4,4,4,4,1],[1,41,22,2,24,17,9,100,45,60,106,12,
20,1,7,6,14,24,15,16,10,9,21,34,6,8,32,48,48,48,12,4,4,28,32,8,40,32,24,32,6,
2,6,14,10,2,32,32,8,2,1,3,12,3,3,12,5,12,12,2,8,1,4,3,8,4,2,2,2,4,8,14,6,2,2,
2,4,4,4,16,2,6,12,6,12,8,32,10,4,4,16,16,32,32,32,2,4,6,12,4,4,4,8,24,24,1,1,
2,8,1,1,1,4,4,8,3,8,4,2,4,4,4,4,4,8,6,2,2,2,4,2,4,1,4,12,6,2,2,4,4,2,2,2,4,4,
8,4,4,4,8,8,4,2,2,1,2,2,1,1,2,2,4,4,4,4,1],[1,25,38,2,32,40,9,9,36,53,92,90,
12,20,1,7,10,14,24,3,6,13,21,30,8,10,8,16,32,32,48,64,4,12,20,12,8,32,40,24,
32,32,6,32,6,10,2,6,2,8,32,8,1,3,12,3,2,5,12,3,12,12,4,8,1,4,3,2,8,2,2,2,4,8,
2,6,4,6,2,6,4,8,12,32,4,32,2,6,4,2,10,4,32,16,8,16,8,32,4,16,4,6,4,4,2,4,8,12,
24,24,1,1,4,3,1,1,8,4,8,2,8,1,4,4,4,6,2,4,4,4,8,2,2,4,2,2,4,1,4,12,6,2,2,4,4,
2,2,2,8,4,4,4,8,4,4,8,4,2,2,1,2,2,1,1,2,2,4,4,4,4,1],[1,33,30,2,16,24,9,37,36,
49,84,106,20,12,15,7,6,14,24,3,6,15,25,30,4,6,8,8,48,32,48,48,20,12,60,12,24,
16,16,8,16,32,2,8,30,6,6,2,6,12,32,8,1,1,3,12,5,1,3,12,3,12,12,4,5,2,3,4,1,3,
8,2,4,8,4,6,2,30,6,6,2,12,12,4,8,4,16,30,2,4,6,4,4,16,8,8,32,12,8,4,32,6,2,4,
6,6,4,8,8,24,24,1,1,4,5,1,1,3,4,4,8,3,2,1,8,2,2,2,4,2,2,6,2,2,4,8,4,3,2,1,2,4,
1,4,12,6,2,2,2,2,4,2,4,8,4,4,8,8,4,4,4,4,1,1,2,1,1,2,1,1,1,2,2,4,4,4,4,1],[1,
25,38,2,48,24,9,9,36,69,76,90,12,4,16,1,11,6,14,24,3,6,13,21,30,28,6,8,16,32,
32,48,48,4,28,20,20,16,32,8,8,8,8,16,48,2,6,2,6,2,10,20,24,16,16,8,1,3,12,2,3,
2,3,12,3,12,12,4,2,4,1,4,1,2,4,4,4,2,4,4,8,2,2,4,6,6,2,12,12,4,4,24,16,2,2,4,
2,10,8,16,4,4,16,4,4,16,16,24,16,16,4,16,4,8,4,8,4,8,8,8,8,16,16,1,1,4,1,1,1,
4,4,8,2,4,2,1,4,4,4,4,4,8,4,4,4,8,4,2,2,4,4,1,4,4,8,2,4,4,4,4,2,4,8,8,8,4,8,8,
4,2,2,1,2,2,1,1,2,2,8,8,1],[1,25,22,2,24,9,9,36,45,60,90,4,4,1,7,6,14,24,3,6,
9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,16,1,3,12,3,3,12,3,
12,12,4,1,4,1,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,8,8,8,1,1,4,1,1,1,
4,4,8,1,4,1,4,4,4,4,4,8,1,2,2,2,1],[1,25,30,2,16,24,5,37,4,33,84,66,24,4,8,15,
3,6,6,24,1,15,21,4,6,8,8,48,8,48,20,16,64,12,8,16,4,8,4,8,8,30,8,2,6,12,4,8,8,
8,1,1,1,5,1,3,12,12,2,5,3,3,2,2,6,30,6,8,2,12,12,8,30,4,8,2,8,4,8,12,2,2,4,6,
2,6,3,2,2,1,4,4,24,24,1,5,3,2,3,2,2,2,1,2,1,1,2,1,6,2,4,3,1,2,1,2,4,12,6,2,2,
2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,25,30,2,48,9,9,36,65,28,74,24,4,8,1,11,14,
3,6,7,17,30,28,16,8,32,48,8,36,32,36,8,8,4,4,8,24,8,2,10,10,28,12,8,8,1,3,12,
2,1,2,3,12,4,2,1,2,4,2,2,2,4,6,10,12,20,12,4,2,10,8,2,2,8,24,12,16,8,2,4,1,2,
3,6,2,4,6,2,4,8,8,16,16,1,1,4,2,2,4,2,1,1,1,6,2,2,2,2,4,1,2,3,1,2,1,2,4,4,8,2,
4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,13,42,4,32,64,3,3,4,37,92,32,4,16,
16,3,8,4,16,1,8,10,5,8,22,24,16,12,8,76,4,4,16,32,4,32,24,4,24,8,16,6,24,6,2,
8,8,16,8,8,1,1,12,2,5,12,3,2,6,3,4,2,6,2,8,12,24,8,8,16,6,2,12,8,8,16,24,2,1,
4,8,4,8,2,3,2,4,24,24,1,3,2,6,4,2,1,1,2,1,4,1,4,8,4,1,2,2,4,12,6,2,4,2,4,1,2,
1,1,2,2,2,2,2,1],[1,17,38,2,48,24,5,9,4,53,76,50,16,12,8,1,7,6,6,24,1,13,17,
28,6,8,16,32,8,48,4,32,24,20,8,16,4,16,16,4,8,8,8,8,6,4,8,2,10,20,4,8,8,8,1,1,
2,3,2,3,12,12,2,2,2,1,2,2,4,2,2,4,6,8,2,12,12,8,8,2,10,4,8,4,4,2,4,8,16,4,8,
16,8,2,2,2,4,2,2,3,2,2,1,4,4,4,4,8,8,16,16,1,1,2,2,2,2,4,2,2,2,1,2,1,1,2,1,2,
2,4,4,1,2,1,2,1,2,4,4,8,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,45,10,23,
11,124,17,12,84,4,32,1,22,16,24,3,17,34,8,76,20,4,4,48,4,56,40,4,8,6,2,8,14,
40,8,8,1,2,1,17,15,3,10,2,2,2,6,12,8,14,2,2,8,20,40,40,8,2,4,3,1,2,12,12,24,
24,1,3,10,2,1,2,1,1,1,2,4,12,1,2,6,4,12,6,2,4,2,4,2,1,1,1,2,2,2,2,2,1],[1,33,
22,2,16,13,9,60,69,12,90,16,12,8,1,13,14,9,8,6,3,21,30,12,8,32,64,16,12,16,36,
8,16,4,16,8,4,8,24,8,2,18,4,6,12,12,8,8,8,1,1,5,12,1,1,3,12,3,3,2,3,2,2,2,18,
6,6,12,12,12,8,2,18,4,2,2,8,12,12,4,8,8,8,2,4,1,2,3,2,4,2,4,2,4,2,4,24,24,1,3,
3,3,2,2,2,1,1,1,2,2,2,4,2,4,1,2,2,1,2,1,2,1,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,21,26,2,16,8,9,3,36,55,16,66,8,24,8,9,2,14,3,6,2,15,30,12,2,
32,48,8,8,4,12,8,28,8,12,8,24,2,2,4,2,10,4,12,16,8,1,3,12,1,1,3,12,1,2,1,4,2,
4,2,2,2,6,4,4,12,8,2,2,8,6,2,4,12,2,4,3,2,1,2,4,4,2,4,8,4,8,8,1,1,2,1,2,2,2,2,
2,2,2,4,2,2,2,1,2,1,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,29,18,2,8,13,3,60,43,
16,66,16,16,8,7,2,14,9,8,6,2,15,30,2,32,48,8,4,4,16,8,12,16,16,12,24,2,2,4,10,
6,8,12,8,8,1,1,3,12,1,3,12,1,2,2,1,2,2,4,6,2,2,2,4,8,2,6,4,8,4,6,2,4,8,8,4,2,
8,3,2,1,2,2,8,2,2,8,2,2,4,4,1,1,1,2,2,2,2,2,2,2,4,2,2,2,1,2,1,1,4,1,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,21,26,2,16,24,7,9,16,19,68,50,8,8,24,1,6,6,24,2,2,11,
15,2,4,6,8,8,32,8,48,4,4,8,8,8,16,12,12,8,8,24,2,2,2,2,4,4,12,24,8,1,3,1,3,12,
1,12,2,1,1,6,4,2,2,2,2,4,4,2,4,2,4,8,2,8,4,8,4,6,8,8,4,6,4,1,6,2,4,3,2,4,8,4,
1,2,1,1,2,2,2,2,2,2,2,2,2,4,3,1,2,2,4,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,21,26,2,
16,24,7,9,16,19,68,50,24,8,8,1,6,6,24,2,2,11,15,2,4,6,8,8,32,8,48,4,4,8,8,8,
16,12,12,8,24,8,2,26,2,2,4,4,4,8,8,1,3,1,3,12,1,12,2,4,1,1,2,4,2,2,2,2,4,2,4,
2,4,8,2,8,4,4,8,4,6,8,4,12,2,12,1,2,2,3,2,4,4,4,4,1,2,1,1,2,2,2,2,2,2,2,2,2,4,
6,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,21,26,2,16,8,9,3,36,55,16,66,24,8,8,
9,2,14,3,6,2,15,30,12,2,32,48,8,16,12,28,16,12,8,12,8,2,2,4,10,2,20,12,8,1,3,
12,1,1,3,12,5,2,1,2,4,2,2,6,2,12,4,8,2,4,6,8,6,2,12,2,8,3,2,4,1,8,2,8,2,8,4,4,
1,1,2,3,2,6,2,2,2,2,2,2,4,1,4,1,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,21,26,2,16,
8,9,3,36,55,16,66,8,8,24,9,2,14,3,6,2,15,30,12,2,32,48,8,8,4,12,8,16,12,8,12,
8,24,2,2,4,2,2,4,36,8,1,3,12,1,1,3,12,1,6,1,2,4,2,2,2,2,4,4,12,8,2,4,2,8,6,2,
4,12,14,4,3,2,4,1,14,4,2,4,4,1,1,2,1,2,2,2,2,2,4,2,2,2,2,7,2,1,2,2,2,4,2,2,4,
1,1,1,1,1,1,1,1],[1,17,30,4,16,48,5,3,16,19,68,32,12,12,16,4,4,16,2,2,8,8,3,2,
4,18,24,8,12,8,60,4,4,8,16,4,4,8,12,12,32,8,8,4,4,4,2,2,4,8,16,8,1,12,1,3,12,
1,3,2,2,1,1,4,2,2,2,2,4,4,2,4,8,2,6,8,2,6,4,8,4,2,8,3,4,4,2,2,8,2,4,8,2,1,2,2,
4,4,4,1,2,1,1,2,2,2,2,2,2,2,2,2,4,1,4,1,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[
1,21,26,2,16,24,7,9,16,19,68,50,8,24,8,1,6,6,24,2,2,11,15,2,4,6,8,8,32,8,48,4,
4,8,8,12,8,16,12,16,8,16,2,16,2,10,2,4,4,4,8,8,1,3,1,3,12,1,12,2,4,1,1,2,4,2,
2,2,2,4,8,4,2,4,2,4,2,8,4,4,8,6,8,4,4,2,4,8,1,2,2,4,8,3,2,4,4,4,1,2,1,2,1,2,2,
2,2,2,2,2,2,4,1,2,4,2,1,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,29,18,2,24,7,37,16,
15,60,50,16,16,8,15,6,6,24,2,2,9,15,2,6,8,32,8,48,16,36,4,28,12,8,8,2,8,18,6,
2,4,4,8,8,1,1,3,3,12,1,12,2,3,2,1,2,4,2,2,18,18,2,4,6,2,8,6,8,6,2,4,6,2,8,6,1,
2,2,8,3,2,4,1,2,3,1,2,2,2,2,2,2,6,2,3,1,4,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,33,14,8,19,5,84,19,16,60,12,28,2,16,8,20,2,15,30,2,60,20,8,4,4,12,4,24,20,
12,32,4,2,8,12,2,24,8,1,1,1,15,15,1,1,6,2,2,2,2,2,4,8,2,6,8,6,2,6,6,12,12,4,2,
2,1,8,2,2,6,3,2,12,12,1,1,2,3,2,2,2,2,2,2,2,6,3,2,1,6,2,2,4,2,2,2,2,1,1,1,1,1,
1,1,1],[1,13,26,4,48,3,3,4,29,60,32,12,16,16,3,4,4,16,1,8,6,5,18,24,12,8,60,4,
4,4,16,4,8,8,2,8,4,6,2,4,8,8,16,24,1,1,12,3,12,3,2,2,1,2,4,4,2,2,4,2,2,4,4,8,
2,4,8,2,1,4,8,2,8,2,4,8,2,3,2,4,4,4,8,1,1,2,2,1,1,2,1,1,2,4,1,2,2,4,2,2,2,2,4,
4,1,2,1,1,2,1],[1,17,22,2,24,5,9,4,29,60,50,24,12,8,1,3,6,6,24,1,9,17,6,8,32,
8,48,4,8,8,4,4,8,4,8,8,26,4,4,2,2,4,8,24,1,1,3,3,12,12,2,4,2,1,2,4,4,4,2,2,4,
2,4,8,2,2,8,2,2,2,2,12,2,8,12,3,2,2,8,1,4,4,1,1,2,2,1,2,1,1,1,6,1,4,1,2,2,1,2,
2,2,4,4,1,1,1,1,1,1,1,1],[1,25,14,2,9,9,36,41,12,74,16,4,24,1,7,14,3,6,3,17,
30,8,32,48,8,4,8,4,8,4,4,8,4,2,6,2,8,36,16,8,1,3,12,1,3,12,2,6,1,4,2,4,4,2,2,
2,4,4,2,2,2,8,8,14,8,1,2,4,3,2,14,8,2,2,4,1,1,2,1,1,1,2,1,2,2,1,7,4,1,2,2,2,2,
8,1,1,1,1,1,1,1,1],[1,17,22,2,24,5,9,4,29,60,50,8,12,24,1,3,6,6,24,1,9,17,6,8,
32,8,48,4,8,8,4,4,8,4,8,8,2,4,4,2,2,28,24,8,1,1,3,3,12,12,2,2,4,1,6,4,4,2,2,4,
2,4,8,2,2,8,2,2,2,4,8,2,6,8,3,6,2,8,1,4,8,1,1,2,2,1,2,1,1,1,3,4,1,2,2,1,4,2,2,
2,8,1,1,1,1,1,1,1,1],[1,29,10,15,11,60,17,12,68,12,32,1,10,20,3,17,30,8,60,20,
4,4,16,4,8,4,8,2,2,4,12,14,24,24,1,1,15,15,2,4,1,6,2,2,2,4,2,2,4,4,2,2,8,4,8,
2,4,2,3,2,12,12,1,2,12,12,1,1,2,1,2,1,1,1,2,6,2,1,2,6,2,2,2,4,4,1,2,1,1,2,1],[
1,25,14,2,9,9,36,41,12,74,16,20,8,1,7,14,3,6,3,17,30,8,32,48,8,4,8,4,8,4,4,8,
4,2,6,8,2,8,12,16,24,1,3,12,1,3,12,4,2,2,1,4,2,4,4,2,2,2,4,4,2,2,2,8,8,2,8,1,
2,3,2,2,8,4,4,2,4,2,4,8,8,1,1,2,1,1,1,2,1,2,2,1,1,4,1,2,2,4,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,17,14,5,7,16,7,20,20,12,20,1,2,2,5,3,2,8,8,8,8,4,12,16,4,8,2,8,2,
6,12,6,8,16,4,8,1,1,2,4,2,1,2,1,2,1,2,1,2,4,2,4,4,2,3,2,2,4,2,2,2,2,2,4,4,2,2,
4,4,4,4,4,1,2,2,1,1,2,2,1,2,1,1,1,4,4,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,17,14,8,7,
1,12,19,16,12,12,20,3,2,3,2,3,2,8,8,8,4,8,12,4,16,8,2,8,4,6,2,6,8,8,16,4,8,1,
1,2,1,2,2,4,1,1,2,1,2,4,2,4,2,4,2,2,3,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,2,2,1,
1,2,2,1,1,2,1,1,4,4,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,29,10,15,11,60,17,12,68,4,8,
16,1,10,20,3,17,30,8,60,20,4,4,16,4,8,4,8,2,2,4,2,8,16,8,8,1,1,15,15,1,4,2,2,
2,4,4,2,2,8,4,8,2,4,4,4,3,1,2,4,4,4,1,1,2,1,2,1,1,1,2,2,1,2,4,2,2,2,1,1,1,2,2,
1],[1,13,26,4,48,3,3,4,29,60,32,20,8,3,4,4,16,1,8,6,5,18,24,12,8,60,4,4,4,16,
4,8,8,2,2,10,4,16,8,8,1,1,12,3,12,3,2,4,1,2,2,4,4,8,2,4,8,2,1,4,4,2,3,4,2,4,4,
4,1,1,2,2,1,1,2,1,1,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,13,26,4,48,3,3,4,29,60,32,4,
8,16,3,4,4,16,1,8,6,5,18,24,12,8,60,4,4,4,16,4,8,8,2,2,2,4,24,8,8,1,1,12,3,12,
3,2,4,1,2,2,4,4,8,2,4,8,2,1,4,4,4,2,3,2,4,4,4,1,1,2,2,1,1,2,1,1,2,1,2,4,2,2,2,
1,1,1,2,2,1],[1,29,10,15,11,60,17,12,68,4,24,1,10,20,3,17,30,8,60,20,4,4,16,4,
8,4,8,2,16,2,12,2,8,8,1,1,15,15,4,1,2,2,2,4,4,2,2,8,4,8,4,6,4,3,1,2,4,4,4,1,1,
2,1,2,1,1,1,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,25,22,2,24,9,9,20,29,60,58,20,20,
1,3,6,6,24,3,2,9,17,2,6,8,32,8,8,48,8,8,8,16,16,8,8,16,8,16,6,6,6,18,10,6,8,
16,48,8,8,1,1,3,3,12,1,12,2,12,2,3,8,3,4,8,2,2,2,6,12,12,4,2,2,4,2,4,8,2,2,4,
2,2,4,8,2,8,8,8,4,6,8,6,8,4,4,4,12,8,8,8,8,1,2,1,2,1,1,2,4,1,2,1,1,2,3,2,1,1,
2,1,2,6,4,6,2,2,6,2,2,3,3,4,6,2,2,4,4,2,2,4,6,6,6,6,2,2,4,4,2,2,8,8,1,1,1,1,1,
1,1,2,2,2,2,4,2,2,2,2,2,2,1],[1,25,22,2,8,9,9,36,45,28,74,20,20,1,7,2,14,3,6,
5,17,30,2,8,32,48,8,8,8,16,8,8,16,8,8,16,16,6,16,18,10,6,6,6,8,48,8,8,1,3,12,
1,1,3,12,8,2,4,3,8,3,2,12,2,2,2,6,12,12,2,2,2,4,2,2,4,4,8,4,2,2,2,8,8,4,8,8,4,
6,8,4,6,4,4,12,8,8,8,8,8,1,1,1,2,2,1,1,3,4,1,1,1,2,2,2,2,1,2,1,4,6,2,6,2,2,6,
2,2,3,2,3,2,6,4,4,4,2,2,4,6,6,6,6,4,2,2,2,2,4,8,8,1,1,1,1,1,1,1,2,2,2,2,4,2,2,
2,2,2,2,1],[1,17,30,32,24,7,1,12,27,48,12,4,20,3,6,3,6,3,8,6,16,8,24,8,4,24,
24,12,4,32,8,6,24,6,2,10,8,4,8,8,1,2,3,6,3,2,1,2,1,1,2,8,6,12,24,6,2,2,3,12,
24,2,2,2,2,2,2,24,4,4,24,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,1,6,1,1,1,2,2,2,2,2,4,
4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,33,14,13,7,80,7,20,36,4,20,1,14,16,6,5,3,
6,8,24,8,24,4,12,24,32,4,8,6,8,2,10,6,24,8,4,8,2,1,3,2,3,6,2,1,1,1,2,2,8,12,6,
3,6,2,2,12,24,24,2,2,2,2,2,4,24,24,4,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,6,1,1,1,1,
2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,25,6,5,35,16,3,12,20,4,28,15,
2,2,3,3,2,8,8,4,12,24,8,2,8,6,6,10,16,8,1,1,1,1,2,1,4,4,6,6,2,4,6,4,6,2,4,4,4,
4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,9,22,16,8,3,1,4,31,16,12,4,
12,16,5,2,1,2,3,12,2,8,8,4,4,8,24,8,2,2,2,6,4,8,16,8,8,1,1,1,1,1,4,2,4,2,2,6,
4,4,2,4,4,4,4,2,6,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[1,17,14,8,
7,1,28,19,16,12,12,4,16,3,2,7,8,2,3,2,8,8,4,12,8,8,16,2,2,10,2,8,8,16,8,1,1,1,
1,2,1,4,4,6,2,2,4,6,4,4,4,4,2,4,2,4,4,4,4,1,1,2,2,1,2,2,2,2,2,4,2,2,2,1,1,1,2,
2,1],[1,17,14,16,5,7,16,7,20,20,12,20,1,2,2,5,3,2,4,8,8,8,4,8,4,8,8,16,2,14,2,
10,4,16,8,1,1,1,2,1,1,4,4,2,2,4,2,4,2,4,4,4,2,2,4,4,4,4,4,4,4,1,1,2,2,1,2,2,2,
2,2,4,2,2,2,1,1,1,2,2,1],[1,17,14,5,7,16,7,20,20,4,44,1,2,2,5,3,2,8,8,8,8,4,
12,16,4,8,2,24,2,14,10,16,4,1,1,6,1,4,1,1,1,2,2,4,4,2,3,2,2,4,6,4,2,2,2,2,4,4,
4,4,1,2,2,1,1,2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,17,14,5,7,16,7,20,20,4,28,
16,1,2,2,5,3,2,8,8,8,8,4,12,16,4,8,2,8,2,6,10,8,16,16,4,1,1,2,1,4,4,1,1,1,2,2,
4,4,2,3,2,2,4,2,2,4,4,2,2,2,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,
1],[1,17,14,8,7,1,12,19,16,12,4,12,32,3,2,3,2,3,2,8,8,8,4,8,12,4,16,8,2,2,2,6,
32,16,8,4,1,1,4,1,4,2,1,1,1,2,4,2,4,2,2,3,4,2,4,4,4,2,2,2,2,2,4,4,4,1,2,2,1,1,
2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,17,14,8,7,1,12,19,16,12,20,12,16,3,2,3,
2,3,2,8,8,8,4,8,12,4,16,8,2,2,10,6,16,8,16,8,4,1,1,4,1,4,2,1,1,1,2,4,2,4,2,2,
3,4,2,4,4,2,2,2,2,4,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,4,2,2,2,1,1,1,2,2,1],[1,
13,18,8,8,5,1,16,9,16,12,8,16,24,2,2,2,2,1,2,2,2,8,8,4,4,4,16,16,16,2,2,8,6,6,
12,16,16,4,1,1,1,4,2,4,1,2,2,2,4,4,1,4,4,4,4,2,4,4,4,4,4,4,4,1,2,2,2,2,2,1,1,
2,4,4,4,1,1,1,2,2,1],[1,13,10,3,7,4,17,12,20,20,16,16,1,3,1,3,5,8,8,4,4,4,4,8,
14,4,6,4,2,8,8,16,8,16,1,1,4,2,2,2,1,4,2,4,4,2,2,2,4,2,2,2,2,4,2,2,4,2,2,2,4,
1,1,2,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,13,10,3,7,4,17,12,20,20,16,16,
1,3,1,3,5,8,8,4,4,4,4,8,14,4,6,4,2,8,24,8,16,1,1,2,2,2,4,1,2,4,4,4,2,2,2,4,2,
2,4,2,2,2,2,4,2,2,2,4,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,31,12,2,
35,30,10,24,32,8,26,15,2,3,6,6,4,16,4,4,8,24,36,4,4,14,8,4,8,12,9,10,8,2,4,1,
2,1,2,2,1,2,12,12,9,1,2,2,8,4,6,8,9,1,2,2,4,2,6,2,4,4,2,2,3,1,2,2,1,1,1,3,2,2,
2,2,1,2,2,1,1,1,1,1,1,1,1],[1,15,28,24,12,5,2,8,36,18,28,8,10,16,7,1,4,2,6,12,
2,2,4,16,4,8,8,16,24,4,16,6,4,4,4,8,8,2,6,4,3,8,4,4,8,2,4,2,1,1,2,2,1,2,4,3,8,
2,2,8,4,4,2,1,8,8,4,4,2,1,2,2,4,4,2,3,2,2,4,2,4,4,2,2,1,1,2,2,2,1,1,1,1,2,2,2,
2,2,1,2,2,1,1,1,1,1,1,1,1],[1,27,16,8,4,11,2,52,2,26,28,12,14,8,3,4,9,8,4,2,4,
2,4,16,4,4,4,8,8,6,20,8,20,24,8,6,6,7,4,8,8,2,4,1,2,1,2,2,1,2,2,5,6,6,8,5,4,4,
8,8,8,2,4,2,8,1,3,6,2,4,4,2,2,2,3,1,2,1,1,3,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[
1,19,24,16,16,2,1,22,16,36,24,4,22,8,4,2,1,5,2,6,4,4,8,4,4,16,4,4,4,8,20,14,
24,8,8,16,2,8,2,5,4,10,8,2,4,1,2,1,2,2,1,2,2,8,4,8,3,2,5,8,4,2,8,8,2,2,1,2,4,
1,4,4,2,4,2,2,4,4,2,2,2,1,2,1,2,1,1,2,1,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,9,
14,2,8,3,3,13,18,16,12,8,6,9,2,4,4,4,8,8,6,6,6,6,6,10,6,4,48,4,8,1,12,3,12,3,
2,12,1,2,2,4,2,1,4,4,4,2,4,4,4,4,4,2,3,1,2,1,4,4,2,2,2,4,1,1,1,2,2,1],[1,11,
16,8,4,3,2,4,2,26,12,20,14,8,3,4,1,2,2,4,4,8,4,6,4,12,8,6,4,14,7,4,4,8,4,2,4,
1,1,2,2,1,3,8,4,3,6,4,2,6,2,2,2,4,2,2,1,3,2,6,2,4,4,2,1,2,1,2,2,3,2,1,3,1,2,2,
2,1,2,2,1,1,1,1,1,1,1,1],[1,7,20,8,12,1,2,8,18,12,8,18,16,1,1,4,2,2,2,4,4,4,4,
8,8,6,4,8,6,6,4,4,7,4,4,4,8,4,2,4,1,2,1,2,1,1,2,2,6,4,2,1,2,2,4,4,1,2,2,2,4,2,
2,3,4,4,2,4,2,4,4,1,2,2,1,2,2,1,2,2,1,1,1,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,
19,8,2,1,22,8,4,24,12,22,8,2,1,1,2,6,4,4,4,4,14,16,4,2,6,5,4,4,4,4,10,8,2,4,4,
1,2,1,2,1,3,4,4,4,1,2,2,8,2,2,2,1,2,2,4,1,2,2,2,4,2,4,2,2,4,4,1,2,2,1,2,1,2,2,
2,1,2,1,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,23,4,2,7,30,6,16,8,34,1,2,3,2,4,4,4,
4,4,12,14,8,4,8,13,4,10,8,2,4,4,1,1,2,2,1,1,2,2,10,2,3,4,6,5,2,6,2,1,4,4,2,6,
2,4,4,1,2,2,1,2,2,3,2,1,1,3,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,17,22,2,16,5,9,4,
29,12,26,24,12,8,1,3,6,1,3,11,4,10,22,26,18,8,4,4,4,4,8,2,14,4,14,4,12,24,4,
16,20,1,1,4,1,3,3,4,1,3,4,4,3,3,9,2,4,2,4,2,2,2,2,4,3,3,3,5,6,6,5,3,3,2,6,4,6,
2,2,4,1,4,3,3,2,1,2,2,2,2,2,8,24,24,24,1,1,1,2,1,1,1,3,3,3,3,3,3,6,1,1,1,1,2,
1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,35,39,50,38,15,2,17,68,14,15,10,2,12,4,1,1,3,3,15,10,15,9,6,6,2,4,
4,3,5,2,1,9,1,2,3,1,2,2,1,1,1,1,1,1,1,1],[1,15,20,4,8,12,7,28,30,20,10,8,5,7,
8,12,2,8,8,6,20,40,6,10,5,4,4,2,8,4,1,1,2,1,3,5,6,4,10,3,2,4,6,10,5,6,2,4,4,3,
5,2,1,3,6,2,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,32,4,24,20,1,18,22,22,16,3,3,12,2,
12,2,8,24,40,6,4,2,6,9,4,4,12,2,4,1,1,3,3,9,2,2,4,4,4,2,2,4,4,9,9,2,4,2,4,4,3,
3,2,2,1,9,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,23,12,16,5,42,6,12,8,12,18,8,2,15,
3,2,4,8,12,14,16,24,16,2,6,3,4,10,2,4,8,4,1,1,2,1,3,4,3,2,6,4,6,6,3,2,4,3,6,6,
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],[1,21,26,16,8,7,7,20,
25,28,20,24,8,8,1,3,2,3,2,5,3,2,4,2,8,8,6,18,26,26,16,8,8,8,8,32,16,14,2,14,2,
12,24,4,20,1,1,1,1,3,3,3,4,3,3,9,2,2,2,2,2,2,3,5,3,3,2,6,6,4,4,3,2,3,4,2,5,6,
2,6,6,6,2,1,2,2,1,1,2,2,4,1,2,2,2,2,4,8,24,24,24,1,1,1,2,1,1,1,1,1,1,2,2,2,2,
1,3,3,3,3,3,3,6,1,1,1,2,2,2,6,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,15,20,4,8,12,7,12,30,20,10,8,5,3,12,2,8,8,6,12,20,24,6,
22,5,4,2,4,1,3,1,10,5,6,4,6,3,7,2,4,6,5,6,2,4,4,3,2,1,1,2,5,2,3,1,6,1,2,2,1,1,
1,1,1,1,1,1],[1,11,24,4,8,20,5,8,6,22,8,14,16,1,3,2,2,12,2,8,8,8,16,6,4,12,16,
2,6,4,5,4,4,4,8,2,4,1,1,2,1,2,4,4,2,3,2,2,4,2,4,1,4,2,2,2,4,4,2,3,1,4,2,4,2,4,
4,1,2,2,1,1,2,2,1,2,1,1,2,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,23,12,5,42,6,12,8,
12,18,8,2,15,3,2,12,12,14,16,24,2,6,3,12,4,10,2,4,1,3,1,6,4,3,2,3,6,4,6,6,3,2,
4,3,6,4,2,2,4,4,3,2,1,1,2,3,2,1,2,1,2,6,1,2,2,1,1,1,1,1,1,1,1],[1,27,8,11,50,
4,8,8,30,1,2,17,2,8,28,4,14,8,16,8,8,11,10,2,4,1,1,2,1,2,8,2,2,5,1,4,10,3,8,3,
2,2,6,6,2,4,4,1,2,2,1,1,2,3,2,1,2,3,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,17,14,2,7,
3,8,13,8,18,12,20,6,2,2,9,4,4,8,8,8,4,4,8,8,2,8,4,6,4,6,2,8,16,4,4,8,1,4,2,1,
4,1,2,4,1,1,1,1,1,2,1,2,4,4,2,2,1,1,4,4,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,
2,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
15,40,35,24,15,16,2,40,8,1,6,8,2,2,1],[1,15,40,5,30,24,15,16,20,10,12,8,1,6,8,
1,1,2,1],[1,9,6,16,24,2,3,3,9,18,24,6,9,16,8,12,12,10,8,1,6,8,1,1,2,1],[1,3,
12,4,36,16,1,18,12,12,3,12,16,1,1,8,32,4,4,1,3,3,4,4,2,1,1,1],[1,3,12,4,36,4,
12,1,18,12,12,3,12,16,1,4,5,20,12,4,4,1,3,3,4,4,1,1,1,1,1],[1,30,9,13,3,1,27,
9,27,3,9,47,3,21,3,9,3,9,9,9,9,4,1,2,1,3,21,9,3,3,3,9,4,8,1,3,6,3,1,3,3,3,3,3,
3,1,4,3,3,1,1,1,1],[1,3,36,4,9,3,10,27,27,12,1,16,33,12,9,9,3,12,18,9,4,1,2,1,
3,9,3,12,9,3,3,9,4,4,4,1,3,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,36,4,9,1,
30,9,27,12,1,16,33,12,9,3,9,12,18,9,4,1,2,3,1,3,9,12,9,3,3,9,4,4,4,4,6,3,3,1,
3,3,3,3,3,1,4,3,3,1,1,1,1],[1,18,21,1,12,1,3,9,27,27,3,9,4,3,7,36,9,12,9,3,3,
9,9,9,9,4,1,2,3,1,3,9,9,12,3,3,9,4,4,4,1,3,6,3,3,1,3,3,3,3,3,1,4,3,3,1,1,1,
1],[1,21,4,18,27,16,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,35,35,30,30,16,5,15,
60,15,16,1,15,15,5,1,1],[1,15,20,5,30,10,20,20,10,16,15,5,20,40,10,5,16,1,5,
10,10,5,5,1,1],[1,35,35,30,30,16,15,5,60,15,16,1,15,15,5,1,1],[1,25,6,15,5,60,
15,60,16,10,20,15,30,60,20,16,1,15,15,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,
7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,
1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,15,31,5,6,10,15,10,6,5,10,5,
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],[1,45,18,64,6,45,
15,180,135,270,45,90,45,90,135,270,360,360,96,240,6,15,45,180,135,270,18,45,
24,60,1,1],[1,21,42,64,14,168,7,21,63,252,126,3,42,42,168,48,63,63,126,168,
168,504,112,224,7,14,168,21,63,252,126,21,42,28,56,1,1],[1,27,64,39,30,18,15,
15,36,9,12,96,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,24,64,4,16,12,1,18,18,
18,3,3,12,12,36,9,12,16,16,48,64,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,45,18,16,
6,45,15,180,135,270,48,45,90,45,90,135,270,360,360,8,12,16,6,15,45,180,135,
270,12,24,24,18,45,1,8,12,1,3,1],[1,21,42,16,14,168,7,21,63,252,126,48,3,42,
42,168,48,63,63,126,168,168,504,8,12,16,7,14,168,21,63,252,126,24,12,24,21,42,
1,8,12,1,3,1],[1,45,18,16,6,45,15,180,135,270,48,45,90,45,90,135,270,360,360,
12,8,16,6,15,45,180,135,270,12,24,24,18,45,1,8,12,1,3,1],[1,21,42,16,14,168,7,
21,63,252,126,48,3,42,42,168,48,63,63,126,168,168,504,4,4,12,16,7,14,168,21,
63,252,126,12,12,12,24,21,42,1,4,12,4,1,3,1],[1,27,16,39,30,18,48,15,15,36,9,
12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,3,24,16,4,16,12,1,18,18,
18,48,3,3,12,12,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,15,
12,16,4,12,7,28,18,12,6,48,3,7,8,12,12,24,6,3,4,8,4,4,16,1,1,2,1,3,3,6,3,6,6,
3,12,4,8,4,8,3,3,3,6,4,4,4,8,1,1],[1,15,12,16,16,5,30,6,12,12,6,48,15,3,4,8,
12,24,6,3,4,8,4,4,16,1,1,2,1,3,3,6,6,3,3,6,4,8,12,4,8,3,3,3,6,4,4,8,4,1,1],[1,
27,16,39,30,18,48,15,15,36,9,12,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,27,
16,39,30,18,48,15,15,36,9,12,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,24,
16,4,16,12,1,18,18,18,48,3,3,12,12,36,9,12,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,
1,3,1],[1,3,24,16,4,16,12,1,18,18,18,48,3,3,12,12,36,9,12,4,16,16,1,1,3,3,9,9,
9,12,3,3,9,1,4,1,3,1],[1,13,42,16,2,48,24,3,9,27,84,42,12,24,32,16,1,6,6,24,
15,15,12,6,8,24,32,48,12,24,12,24,48,24,6,12,12,24,8,12,16,1,3,3,3,12,12,3,6,
6,6,12,12,24,12,24,12,12,6,6,12,16,8,8,4,8,1,3,6,6,6,12,3,6,1,4,8,3,2,1,1],[1,
21,34,16,2,24,9,3,36,51,48,66,12,24,32,16,7,6,14,3,6,6,15,30,6,32,48,24,12,12,
36,24,36,24,6,6,12,6,24,12,8,16,1,3,12,3,3,12,3,6,6,6,6,12,24,6,24,18,6,9,6,3,
6,12,8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,33,22,16,2,9,21,36,45,36,
90,24,12,16,16,16,3,7,14,3,6,9,21,30,24,32,48,24,12,24,12,24,12,12,24,12,6,6,
6,24,12,8,16,1,3,12,3,3,12,3,6,6,6,6,12,12,6,6,6,24,24,3,6,9,6,12,12,4,8,4,8,
8,1,3,6,3,3,3,6,3,6,3,6,1,4,8,3,1,1,1,1],[1,37,18,16,15,23,60,21,36,84,12,24,
16,16,16,3,10,20,9,21,30,24,60,20,12,12,48,12,24,12,24,6,6,12,6,24,8,12,16,1,
3,15,15,3,6,6,6,12,12,6,6,24,12,24,6,12,9,3,6,12,4,8,4,8,8,1,3,6,3,6,3,3,3,6,
3,6,1,4,8,3,1,1,1,1],[1,25,30,16,24,15,5,60,27,48,60,24,12,32,16,6,10,20,6,15,
30,6,60,20,24,12,12,12,24,12,72,12,6,6,6,24,8,12,16,1,3,15,15,3,6,6,12,24,6,
12,24,6,18,12,6,3,9,6,8,16,4,8,8,1,3,6,6,6,6,6,6,3,1,4,8,3,2,1,1],[1,49,6,16,
27,5,132,15,60,36,32,16,28,24,20,15,30,60,20,36,72,36,18,36,8,12,16,1,3,15,15,
9,18,18,36,36,18,18,8,16,4,8,8,1,9,6,18,9,1,4,8,3,2,1,1],[1,21,34,16,2,48,9,3,
36,75,66,12,24,32,16,13,14,3,6,15,30,36,32,48,12,12,24,24,72,6,12,36,12,8,16,
1,3,12,3,3,12,3,6,6,12,36,6,12,36,6,12,6,12,8,16,4,8,8,1,3,6,6,6,12,3,6,1,4,8,
3,2,1,1],[1,9,46,16,4,48,48,1,3,27,84,24,12,24,32,16,4,4,16,8,12,3,12,18,24,
24,12,60,24,48,12,24,12,24,12,6,12,24,4,4,12,16,1,12,3,3,12,3,3,6,12,12,24,6,
6,12,24,12,6,12,12,6,8,8,8,4,4,4,8,1,3,6,6,6,12,6,3,1,4,4,4,3,2,1,1],[1,37,18,
16,2,24,15,9,48,15,60,66,12,24,32,16,1,6,6,24,6,6,9,15,6,6,8,32,24,48,12,12,
36,36,24,24,6,6,6,12,24,8,12,16,1,3,3,12,3,12,6,3,6,6,6,12,6,6,24,18,24,3,6,9,
6,12,8,16,8,4,8,1,6,3,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,25,30,16,2,24,9,9,12,57,
60,66,24,12,16,16,16,1,9,6,6,24,3,9,21,6,8,32,24,48,12,24,24,12,12,24,12,24,6,
12,6,6,24,8,12,16,1,3,3,3,12,12,6,3,6,6,12,6,12,24,6,6,24,6,6,9,6,3,12,4,12,8,
8,4,8,1,3,6,6,3,6,3,3,3,6,3,1,4,8,3,1,1,1,1],[1,21,18,16,2,24,3,37,15,60,42,
12,48,15,6,6,24,9,15,6,8,32,48,12,36,18,8,12,16,1,1,3,3,12,12,3,18,18,6,6,8,
12,8,1,3,2,6,3,1,4,1,1,2,1],[1,21,18,16,2,16,9,3,36,51,66,12,48,9,14,3,6,15,
30,12,32,48,12,12,24,6,12,12,8,16,1,3,12,1,3,12,3,6,12,6,12,6,6,12,8,8,1,3,6,
2,3,1,4,1,1,2,1],[1,33,6,16,19,5,84,15,60,12,48,16,8,20,15,30,60,20,12,24,12,
6,12,8,12,16,1,1,15,15,3,6,6,12,12,6,6,4,8,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,13,6,
16,4,3,7,4,3,12,18,24,12,16,1,1,3,1,6,6,6,6,3,12,9,6,3,6,2,4,4,4,16,3,6,6,6,3,
3,3,6,3,6,3,3,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,19,16,7,26,30,16,1,2,
3,12,6,15,6,2,12,12,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[
1,7,12,16,8,3,4,18,12,18,16,3,1,2,6,12,6,6,9,12,2,12,8,4,16,3,3,3,6,6,6,6,6,
12,12,8,4,8,1,3,3,6,6,4,8,3,1,1],[1,27,16,35,26,18,48,15,2,3,36,6,9,6,2,4,8,
16,1,9,6,9,6,12,8,8,3,1,3,4,1,1,1],[1,15,12,16,8,7,28,18,12,6,48,3,7,8,2,6,12,
24,6,6,3,2,8,4,16,1,3,6,6,6,3,6,8,4,8,8,3,1,3,4,1,1,1],[1,33,6,16,13,7,80,3,
12,36,12,48,1,14,16,6,3,3,6,8,24,24,24,24,6,6,6,24,8,4,8,16,2,1,3,3,6,2,6,12,
6,6,12,24,24,24,24,4,8,16,8,8,3,6,4,12,6,4,8,8,1,1,1],[1,21,18,16,16,7,7,28,
45,12,36,12,48,1,9,7,8,3,9,12,8,24,12,12,12,36,6,18,6,12,8,4,4,4,16,1,3,1,1,3,
3,3,2,18,6,6,12,12,6,18,12,24,24,12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,
9,30,16,32,24,3,1,4,27,48,12,12,48,3,6,1,6,3,8,6,16,8,24,24,24,24,6,24,6,6,8,
8,4,16,1,2,3,6,3,2,6,6,12,24,6,12,24,24,24,8,16,4,8,8,3,6,4,12,6,8,4,8,1,1,
1],[1,21,18,16,16,3,35,4,21,36,36,12,48,15,3,1,9,9,4,8,24,8,12,12,36,12,18,6,
6,12,8,4,4,4,16,1,1,3,1,3,3,3,2,6,18,6,6,12,12,18,12,24,24,4,8,12,4,8,8,3,3,3,
4,12,6,4,4,4,8,1,1,1],[1,19,16,7,26,4,18,16,1,2,3,12,6,6,9,6,2,4,8,16,1,6,3,6,
3,6,6,4,8,8,1,3,3,4,1,1,1],[1,7,12,16,8,3,4,18,16,6,16,3,1,2,6,12,6,12,3,2,8,
4,16,1,6,3,6,6,3,6,8,4,8,1,3,3,4,1,1,1],[1,21,10,16,2,9,3,36,39,66,16,16,7,14,
3,6,15,30,32,48,24,12,8,16,1,3,12,3,12,4,12,12,4,8,8,1,6,1,4,1,1,1],[1,25,6,
16,15,5,60,15,60,4,12,16,10,20,15,30,60,20,6,6,12,8,12,16,1,15,15,1,3,6,6,6,6,
4,8,8,1,3,3,1,4,1,1,1],[1,13,18,16,2,24,3,9,15,60,42,16,16,1,6,6,24,9,15,6,8,
32,48,24,8,12,16,1,3,3,12,12,4,12,12,8,4,8,1,6,1,4,1,1,1],[1,25,6,16,15,5,60,
15,60,12,36,16,10,20,15,30,60,20,18,18,36,8,12,16,1,15,15,3,9,18,18,18,18,4,8,
8,1,9,9,1,4,8,3,1,1],[1,21,10,16,2,9,3,36,39,66,24,24,16,7,14,3,6,15,30,32,48,
12,24,36,12,8,16,1,3,12,3,12,6,6,6,24,6,6,24,6,4,8,8,1,3,3,12,1,4,8,3,1,1],[1,
9,22,16,4,48,1,3,15,60,24,12,12,24,16,4,4,16,8,6,3,18,24,12,60,12,6,6,12,12,
24,4,4,12,16,1,12,3,12,3,3,3,6,6,12,12,12,6,6,6,12,4,4,4,8,1,3,6,6,3,1,4,4,4,
3,1,1],[1,13,18,16,2,24,3,9,15,60,42,24,24,16,1,6,6,24,9,15,6,8,32,48,24,12,
12,24,8,12,16,1,3,3,12,12,6,6,6,6,6,24,6,24,8,4,8,1,3,12,3,1,8,4,3,1,1],[1,31,
12,16,6,7,38,18,48,12,30,16,16,16,1,2,3,6,12,12,12,12,12,12,30,24,6,3,18,2,4,
8,16,3,6,3,12,6,3,6,12,6,6,4,4,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,43,16,19,98,
42,32,16,1,2,45,60,30,9,18,2,4,8,16,3,9,18,9,18,6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,
1,1],[1,7,36,16,12,8,36,3,4,54,12,6,24,32,16,9,1,36,2,24,24,6,12,24,6,6,3,12,
2,8,4,16,3,3,6,12,6,3,6,12,6,6,8,8,8,8,4,8,3,6,1,6,3,4,8,3,1,1],[1,13,30,16,4,
24,3,7,4,15,48,12,30,12,32,16,1,6,1,6,3,1,6,24,6,30,6,24,24,9,9,3,6,2,4,4,4,
16,3,3,6,3,3,6,6,6,6,3,3,3,6,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,37,
6,16,4,15,7,52,3,36,6,24,12,32,16,1,7,6,3,6,1,24,6,6,6,24,24,24,3,6,3,6,3,6,2,
4,4,4,16,3,3,3,6,3,6,6,3,6,3,6,3,6,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,4,4,3,1,
1],[1,19,24,16,8,12,3,6,4,6,42,36,18,24,16,16,16,3,12,1,6,2,12,12,24,12,6,12,
12,24,6,9,12,2,8,4,16,3,3,6,12,6,6,12,6,3,6,8,8,4,4,8,4,8,6,3,1,3,6,4,8,3,1,
1],[1,25,18,16,6,4,9,13,4,27,54,18,12,12,16,16,16,1,18,1,27,1,18,18,6,12,12,
12,12,9,3,6,3,6,2,4,4,4,16,3,3,3,9,6,6,6,9,3,3,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,
1,3,3,3,4,4,4,3,1,1],[1,19,24,16,7,26,12,24,12,6,32,16,1,2,3,6,24,12,12,6,24,
6,3,6,2,12,4,8,16,3,6,3,3,6,6,6,6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,31,12,
16,8,15,28,18,18,32,16,3,7,2,6,36,36,6,9,2,12,8,4,16,3,9,6,9,6,6,12,12,8,8,4,
8,3,1,3,6,6,4,8,3,1,1],[1,13,18,16,16,3,7,4,21,12,12,16,16,1,3,1,3,3,4,6,18,
18,18,12,12,12,24,20,4,4,4,16,1,1,3,3,3,4,3,3,9,3,3,3,3,6,6,3,3,3,6,6,8,24,24,
24,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,13,30,16,2,12,3,9,33,24,18,30,
12,32,16,1,3,6,6,9,3,6,24,42,6,12,12,9,9,6,9,6,6,8,12,16,1,6,9,6,3,3,6,6,6,3,
9,3,6,12,8,16,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,34,16,2,36,3,3,27,12,18,18,
12,12,32,16,1,6,3,9,9,30,12,12,12,12,12,12,3,6,3,6,15,6,6,12,8,16,1,3,3,3,6,6,
6,6,6,6,3,3,3,6,6,6,6,8,8,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,40,16,4,24,36,
1,6,30,18,24,32,16,1,3,6,12,6,24,24,24,18,12,6,18,3,12,6,4,16,16,1,3,6,6,12,
12,6,12,3,6,12,8,16,4,1,6,3,3,6,1,4,3,2,1,1],[1,3,40,16,40,24,1,18,18,18,24,
32,16,3,1,12,6,6,48,24,18,12,6,18,3,12,6,4,16,16,1,3,6,6,12,12,6,12,3,6,12,8,
16,4,1,6,3,3,6,1,4,3,2,1,1],[1,21,22,16,2,12,3,21,21,24,18,30,12,16,16,16,3,1,
6,6,9,3,18,12,42,6,12,12,15,3,6,9,6,6,12,8,16,1,6,3,6,3,9,6,6,6,9,3,3,6,12,12,
4,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,43,16,11,90,42,32,16,1,6,21,60,42,9,30,
6,20,16,1,9,30,3,18,18,24,4,1,6,3,3,6,1,4,3,2,1,1],[1,25,18,16,2,12,9,9,12,15,
42,18,12,12,16,16,16,1,6,3,15,3,18,18,18,12,12,12,12,9,9,6,9,6,6,8,12,16,1,9,
9,9,6,6,6,3,3,3,6,18,4,8,4,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,43,16,23,78,42,
32,16,3,4,21,72,30,15,24,6,8,12,16,1,15,24,9,12,18,12,4,8,4,3,4,3,3,6,1,4,3,1,
1,1,1],[1,43,16,35,66,42,32,16,15,6,7,84,18,21,18,6,20,16,1,21,18,21,18,24,4,
7,3,9,1,4,3,2,1,1],[1,31,12,16,5,54,6,12,24,12,30,16,16,16,4,15,3,6,24,30,24,
24,6,6,3,24,6,8,12,16,1,3,6,6,12,12,6,3,12,12,6,4,4,8,8,4,3,4,3,3,6,1,4,3,1,1,
1,1],[1,3,4,16,1,3,3,18,6,12,16,1,3,3,6,6,12,12,12,4,16,3,3,3,6,6,6,4,1,3,3,4,
3,1,1],[1,9,6,16,1,7,3,12,12,12,12,48,1,3,3,8,6,6,24,8,8,4,16,1,6,2,2,6,6,3,3,
6,4,8,8,8,3,6,6,4,8,8,1,1],[1,9,6,16,3,1,4,15,12,12,12,48,3,1,3,8,6,6,24,8,8,
4,16,1,6,2,2,6,6,3,3,6,4,8,8,8,3,6,6,4,8,8,1,1],[1,19,16,11,30,30,16,1,15,12,
15,12,20,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,19,16,35,6,30,16,15,1,12,3,12,12,
20,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,16,16,4,12,1,6,18,6,24,16,1,3,12,12,3,
12,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,3,16,16,16,1,18,6,6,24,16,3,1,
12,12,3,12,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,9,6,16,2,3,3,9,18,12,12,
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],[1,3,28,16,1,24,15,
3,6,6,12,32,16,1,6,12,12,12,3,3,6,12,12,4,16,3,3,3,6,6,6,8,4,1,3,3,4,3,1,1],[
1,15,12,16,4,12,7,12,18,12,6,48,3,3,12,12,12,24,18,3,4,16,1,3,1,6,3,6,3,3,6,3,
12,3,1,2,3,6,4,1,1,1,2,1],[1,15,12,16,5,30,6,12,12,6,48,15,3,12,12,24,6,3,12,
4,16,1,3,1,6,3,3,6,6,3,3,12,3,1,2,3,6,4,1,1,1,2,1],[1,15,28,16,24,7,12,42,18,
32,16,7,3,6,18,12,36,18,9,6,12,4,16,1,9,18,3,18,6,12,12,8,4,1,3,3,6,6,1,4,3,1,
2,1],[1,31,12,16,1,42,6,12,24,18,32,16,6,1,3,6,12,12,18,24,6,3,18,6,12,4,16,1,
3,6,3,12,6,12,6,6,12,12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,15,4,16,7,12,6,24,6,24,
16,1,3,12,12,12,3,12,4,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,12,16,1,6,6,12,30,
24,16,1,3,12,12,3,12,12,4,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,35,24,4,12,13,4,
64,18,42,60,16,18,12,12,20,3,3,12,10,8,6,6,6,12,24,8,12,4,6,6,24,18,12,24,18,
12,36,12,9,12,24,1,4,4,12,20,12,4,4,1,1,3,3,1,6,3,3,3,3,6,3,3,3,12,9,9,12,6,
12,9,12,12,12,3,3,6,3,6,3,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,2,1,2,1,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,35,24,4,4,35,30,24,48,72,
16,18,12,12,20,15,3,12,12,12,32,12,12,16,48,36,12,12,12,24,24,9,24,1,4,4,12,
20,12,4,4,1,4,3,4,6,3,6,24,24,9,3,6,6,24,24,9,3,6,6,1,3,2,3,2,4,4,4,4,4,4,4,4,
6,3,3,6,3,6,6,6,1,1,3,2,1,3,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,44,4,1,52,24,1,3,
6,33,66,27,12,6,16,4,20,20,3,3,6,9,3,21,3,6,24,6,2,6,18,3,27,9,9,10,36,6,6,6,
6,12,30,3,9,9,12,12,12,1,4,4,12,12,20,4,4,1,1,3,3,1,3,3,3,3,3,3,9,3,3,9,6,3,9,
9,12,6,6,9,9,12,9,6,3,3,3,9,3,3,1,3,2,3,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,3,1,3,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,23,36,4,3,28,24,1,1,18,39,
42,57,4,6,24,12,12,20,3,9,6,3,9,15,3,6,8,6,6,18,18,1,9,3,3,18,36,6,6,6,6,12,
54,3,3,3,24,12,12,1,4,4,12,20,12,4,4,3,1,1,3,3,3,3,1,3,3,3,3,3,3,21,6,3,3,9,
12,6,6,3,21,12,3,6,3,3,3,9,3,3,1,2,3,3,2,4,4,4,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,3,3,2,1,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,9,16,24,27,12,36,9,5,8,1,12,
9,4,3,4,1,1],[1,27,18,7,6,27,27,9,6,30,6,18,27,18,27,2,2,27,9,18,9,2,2,6,12,6,
9,1,6,6,1,2,2,1,1,1,1],[1,15,48,10,16,60,5,90,6,10,30,30,15,60,6,18,18,5,10,
30,30,5,6,18,18,15,10,6,5,1,3,1],[1,15,48,10,1,80,15,60,15,6,10,30,30,5,10,15,
15,30,6,18,18,5,10,30,30,5,6,18,18,5,10,10,6,5,1,1,2,1],[1,15,16,5,30,16,15,
20,16,1,1,1,1],[1,15,16,35,16,15,20,16,1,1,1,1],[1,15,16,10,5,30,40,6,10,10,
10,5,30,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,15,16,10,5,15,15,30,10,6,
10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,15,36,10,40,5,60,
30,6,10,30,30,5,15,30,30,15,6,6,6,5,10,30,30,15,6,12,10,5,10,6,5,1,1,2,1],[1,
15,36,10,40,5,45,15,30,6,10,30,30,5,15,30,30,15,6,6,6,5,10,30,30,15,6,12,10,5,
10,6,5,1,1,2,1],[1,5,18,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,3,3,6,
6,5,4,1,3,3,5,1,4,3,1,1],[1,23,1,1],[1,57,54,6,48,72,45,49,180,153,180,342,36,
36,15,45,18,90,72,45,90,27,153,270,12,18,24,24,96,360,360,144,36,36,108,36,72,
72,72,72,72,144,18,72,54,18,18,18,18,36,144,24,24,1,6,15,45,180,9,3,9,36,135,
270,36,36,9,18,9,36,9,9,36,6,6,6,18,36,36,18,18,54,18,18,18,36,36,36,72,36,
144,54,18,36,18,18,36,144,36,36,144,36,72,36,144,18,18,36,18,18,18,18,36,36,
72,72,72,72,18,45,3,36,9,9,9,9,36,36,72,9,18,9,36,6,18,18,36,6,6,18,18,18,18,
18,18,18,36,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,18,18,18,18,
36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,1,2,6,3,9,18,18,18,
18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,18,18,18,18,36,18,18,18,36,36,36,36,36,36,
36,3,6,18,9,9,18,1],[1,57,54,14,16,168,25,21,156,153,252,270,36,36,3,21,42,66,
168,21,24,18,48,63,81,90,12,126,168,168,96,144,504,36,36,36,108,72,72,72,72,
72,144,18,18,18,54,18,18,36,72,144,24,24,3,7,9,36,1,14,168,21,63,252,9,36,126,
9,36,9,9,36,9,18,36,6,6,6,18,36,36,54,18,18,18,18,36,36,36,36,144,18,18,36,18,
54,36,144,18,36,36,144,36,36,72,72,144,18,18,36,18,36,18,18,18,36,72,72,72,72,
3,21,42,9,36,9,9,9,36,36,72,9,9,18,36,18,36,36,6,6,6,18,18,18,18,18,18,18,36,
18,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,18,18,36,36,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,1,2,6,3,18,18,18,9,18,3,3,6,18,6,
9,9,9,18,18,9,9,9,18,18,18,18,18,18,36,18,18,36,36,36,36,36,36,36,3,6,18,9,9,
18,1],[1,57,54,18,168,49,33,180,189,252,378,36,36,3,45,42,126,168,45,90,48,63,
189,270,126,168,168,360,360,504,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,
144,6,21,45,180,14,168,21,63,252,135,270,126,36,9,36,9,36,18,18,18,18,18,36,
36,36,144,18,18,36,18,36,144,36,36,144,36,144,18,18,36,18,18,36,18,18,18,36,
18,36,18,45,21,42,36,9,9,9,36,36,72,9,36,6,18,18,36,36,36,6,6,6,18,18,18,18,
18,18,18,18,18,18,36,18,36,18,18,36,36,18,36,9,24,1,1,18,18,18,18,18,18,18,18,
6,9,9,9,3,3,9,1],[1,33,46,14,168,13,21,36,93,252,174,12,60,16,3,7,42,50,168,3,
6,48,63,69,30,126,168,168,32,48,504,12,12,12,12,24,24,24,24,48,6,6,6,6,30,6,
24,48,48,7,3,12,14,168,21,63,252,3,12,126,12,4,3,12,3,12,12,6,6,6,6,6,12,12,
12,48,6,6,12,6,12,48,12,12,48,12,48,6,12,6,12,12,18,6,12,12,24,24,1,21,42,12,
3,3,3,12,12,24,3,12,12,12,2,2,6,6,6,6,6,6,6,6,6,12,6,12,12,3,12,24,12,12,24,
12,1,6,6,6,6,1,3,3,6,6,6,6,3,1,3,3,1],[1,49,30,6,24,45,21,180,141,60,294,28,
12,48,1,45,6,90,24,45,90,9,141,270,6,8,32,360,360,48,12,12,12,12,24,24,24,24,
48,6,30,6,6,6,6,24,48,48,6,15,45,180,3,3,12,135,270,12,12,4,3,12,3,12,12,6,6,
6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,24,6,12,12,12,18,12,6,6,12,24,
18,45,1,12,3,3,3,12,12,24,3,12,2,6,6,12,2,6,6,6,6,12,6,6,6,12,6,12,12,3,12,12,
24,12,12,24,1,6,6,6,6,1,3,3,6,6,6,6,3,1,3,3,1],[1,33,46,2,48,40,13,9,60,81,92,
106,44,28,16,1,13,10,14,24,9,8,6,13,25,30,20,10,8,16,32,32,64,64,12,28,36,60,
32,16,48,40,16,32,32,80,6,32,10,10,30,10,6,44,24,8,48,8,8,1,1,5,12,1,3,2,5,12,
3,12,12,3,8,8,9,4,3,4,3,2,2,8,2,2,2,4,16,2,4,8,4,8,18,6,4,10,10,10,12,28,12,
32,4,48,6,6,4,2,8,10,22,16,32,4,16,8,32,20,8,32,8,8,8,16,4,12,4,16,6,4,4,8,2,
10,4,4,16,4,2,16,6,10,8,8,12,8,24,24,24,24,1,1,3,4,3,1,3,8,8,8,5,2,8,1,2,4,4,
6,4,4,2,2,4,2,6,6,2,8,6,2,4,4,4,2,4,4,8,2,2,4,4,1,2,2,5,2,8,4,2,2,4,1,4,4,12,
12,6,6,2,6,2,4,2,6,2,4,4,4,4,2,2,2,2,4,4,4,4,4,12,4,8,4,4,8,4,4,8,4,4,4,8,4,4,
8,4,4,8,4,16,8,4,4,1,2,2,1,2,1,1,2,3,1,2,2,2,2,1,1,1,3,2,2,2,2,1,4,4,4,4,4,4,
4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,2,1,1,2,2,1],[1,41,38,2,48,24,17,
9,100,69,76,106,36,20,32,1,11,6,14,24,15,16,10,13,21,34,28,6,8,16,32,48,48,48,
12,28,20,44,16,32,32,8,40,32,24,64,80,6,30,6,18,10,10,20,32,32,32,32,8,8,2,1,
3,12,2,3,2,3,12,5,12,12,2,8,4,2,4,1,4,3,2,8,4,8,4,2,2,2,2,4,8,8,4,4,16,14,6,4,
6,6,2,12,12,4,4,32,16,2,6,12,6,10,8,16,16,8,32,10,4,12,16,16,24,16,16,16,32,
32,32,4,8,8,12,8,16,12,2,8,4,16,6,12,4,4,4,8,8,8,8,8,8,8,16,16,24,24,1,1,2,8,
1,1,1,4,4,8,2,4,2,3,4,4,8,4,4,2,8,4,4,4,8,4,4,4,8,4,8,6,4,4,8,2,2,4,6,4,2,4,2,
4,2,4,4,4,1,4,4,4,8,12,6,2,4,2,2,4,4,4,4,8,8,4,2,2,2,2,4,4,4,4,4,4,4,8,16,4,4,
8,8,8,8,16,4,4,4,8,8,4,8,8,4,4,2,2,2,2,1,1,1,1,2,4,2,2,2,1,1,2,4,2,2,2,1,4,4,
8,4,4,8,2,2,2,2,2,2,4,4,8,4,4,8,2,2,1,2,2,1,1,2,2,1],[1,25,54,2,80,40,9,9,36,
77,108,90,20,36,32,1,11,10,14,24,3,6,17,21,30,36,10,8,32,32,32,48,64,4,36,36,
28,16,64,8,64,40,24,32,32,48,6,32,10,10,6,14,10,28,48,16,16,32,8,8,1,3,12,2,3,
4,5,12,3,12,12,4,8,2,8,1,4,3,4,4,4,4,8,2,2,2,2,4,8,8,4,4,16,2,6,8,10,6,14,12,
20,12,32,4,24,32,2,6,4,2,10,16,16,10,4,4,32,16,8,16,16,24,16,24,32,4,16,4,16,
8,6,4,4,4,16,2,16,8,8,4,4,12,8,12,8,16,8,8,8,16,16,24,24,1,1,4,3,1,1,8,4,8,2,
4,4,8,1,4,4,4,4,4,4,4,4,4,8,6,2,4,4,4,4,8,8,8,8,2,2,4,2,4,2,2,8,4,2,4,4,4,1,4,
4,4,12,8,6,2,4,2,4,4,2,8,4,4,8,4,2,2,2,2,4,8,4,4,4,4,4,16,4,8,4,4,8,8,4,8,4,4,
8,8,8,4,8,16,4,4,2,2,2,2,1,1,1,1,2,2,2,2,4,1,1,2,2,4,2,2,1,4,8,4,4,4,8,2,2,2,
2,2,2,4,4,8,4,4,8,2,2,1,2,2,1,1,2,2,1],[1,49,30,2,16,24,17,37,100,49,84,122,
28,44,16,15,7,6,14,24,15,16,10,15,25,34,4,6,8,8,48,48,48,48,28,12,60,36,80,16,
16,40,32,32,48,32,6,24,30,18,18,10,6,12,8,16,32,48,8,8,1,2,1,3,12,5,1,3,12,5,
12,12,2,8,5,6,3,4,3,3,4,8,8,2,2,2,2,4,4,8,12,8,8,18,6,30,6,6,2,12,12,4,8,4,8,
16,30,6,12,18,4,12,8,32,10,8,8,32,12,8,16,32,32,48,18,6,12,6,4,8,16,6,2,4,4,8,
16,6,12,4,4,4,8,4,8,8,24,24,24,24,1,1,2,8,5,1,1,3,4,4,8,3,2,3,8,8,2,2,2,2,4,4,
4,4,6,4,4,4,8,2,6,2,4,6,4,6,8,4,2,2,3,2,2,8,2,4,3,2,2,4,4,1,4,4,12,12,6,6,6,6,
2,2,4,4,2,2,4,4,4,2,2,2,2,4,4,4,4,12,4,4,4,4,8,8,4,4,8,4,4,8,8,12,4,4,8,4,4,4,
8,8,4,4,1,1,2,2,2,1,1,2,1,2,2,3,2,2,1,1,3,1,2,2,2,2,1,4,4,4,4,4,4,4,4,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,1,1,2,1,1,1,2,1,1,2,2,1],[1,33,30,2,16,24,13,9,60,73,60,
106,36,60,1,13,6,14,24,9,8,6,9,25,30,12,6,8,32,32,64,48,12,20,20,52,16,24,16,
16,8,32,10,14,10,30,30,14,20,40,96,8,1,1,5,12,1,3,3,12,3,12,12,3,24,5,7,20,5,
10,20,2,4,8,4,18,2,6,10,6,12,20,4,4,32,6,2,4,2,22,8,16,4,4,4,32,20,8,8,8,16,8,
4,8,4,10,12,4,14,8,4,14,6,16,4,8,16,16,24,24,1,1,3,4,1,1,3,4,8,8,5,1,2,4,6,4,
2,2,4,2,2,2,2,8,2,4,5,2,3,4,12,4,6,8,8,4,8,8,5,4,12,6,2,2,4,2,2,2,4,8,8,8,4,8,
8,4,8,4,4,8,4,4,8,4,8,4,1,2,1,1,2,2,2,2,1,1,2,1,4,2,2,4,1,2,4,4,2,4,4,4,4,2,2,
1,1,1,1],[1,41,22,2,24,17,9,100,45,60,106,28,52,16,1,7,6,14,24,15,16,10,9,21,
34,6,8,32,48,48,48,12,4,4,28,32,8,40,32,24,32,14,10,14,22,26,10,24,48,96,8,2,
1,3,12,3,3,12,5,12,12,2,24,4,5,20,7,12,20,2,2,2,4,8,14,6,2,2,2,4,4,4,16,2,6,
12,6,12,8,32,10,4,4,16,16,32,32,32,4,12,4,8,4,6,12,12,4,14,12,8,8,4,16,4,8,8,
8,24,24,1,1,2,8,1,1,1,4,4,8,3,8,4,2,4,4,4,4,4,8,6,2,2,4,4,6,4,8,4,6,12,8,4,8,
4,5,4,12,6,2,2,4,4,2,2,2,8,8,4,8,4,8,8,8,4,4,8,4,4,4,8,8,4,2,2,1,1,1,2,2,2,2,
2,1,4,2,2,4,1,2,4,4,2,4,4,4,4,2,2,1,1,1,1],[1,25,38,2,32,40,9,9,36,53,92,90,
44,36,16,1,7,10,14,24,3,6,13,21,30,8,10,8,16,32,32,48,64,4,12,20,12,8,32,40,
24,32,32,14,32,38,18,10,14,10,8,8,16,96,8,1,3,12,3,2,5,12,3,12,12,20,4,8,5,20,
7,2,4,24,2,2,2,4,8,2,6,4,6,2,6,4,8,12,32,4,32,2,6,4,2,10,4,32,16,8,16,8,32,4,
16,4,4,8,10,12,16,4,18,4,4,8,8,4,4,8,4,16,12,8,24,24,1,1,4,3,1,1,8,4,8,2,8,1,
4,4,4,6,2,4,4,4,8,2,2,6,2,4,2,4,8,6,4,8,8,4,12,4,5,4,12,6,2,2,4,4,2,2,2,8,8,4,
8,8,4,8,8,8,4,4,4,8,4,4,8,4,2,2,1,1,1,2,2,2,2,2,1,2,4,2,4,1,2,4,4,2,4,4,4,4,2,
2,1,1,1,1],[1,33,30,2,16,24,9,37,36,49,84,106,36,28,32,15,7,6,14,24,3,6,15,25,
30,4,6,8,8,48,32,48,48,20,12,60,12,24,16,16,8,16,32,10,8,38,14,14,10,14,12,16,
32,96,8,1,1,3,12,5,1,3,12,3,12,12,20,5,2,7,20,5,3,8,24,2,4,8,4,6,2,30,6,6,2,
12,12,4,8,4,16,30,2,4,6,4,4,16,8,8,32,12,8,4,32,6,4,16,6,12,6,8,10,4,8,8,4,4,
4,8,8,16,8,16,24,24,1,1,4,5,1,1,3,4,4,8,3,2,1,8,2,2,2,4,2,2,6,2,2,4,8,4,3,4,2,
1,4,8,6,4,8,12,4,8,8,5,4,12,6,2,2,2,2,4,2,4,8,4,8,8,8,4,8,8,8,4,4,8,8,4,4,4,4,
1,1,2,1,2,2,2,2,1,2,1,1,4,2,2,4,1,2,4,4,2,4,4,4,4,2,2,1,1,1,1],[1,33,30,2,16,
24,9,37,36,49,84,106,20,44,15,7,6,14,24,3,6,15,25,30,4,6,8,8,48,32,48,48,20,
12,60,12,24,16,16,8,16,32,2,8,30,6,6,18,6,12,32,32,8,16,1,1,3,12,5,1,3,12,3,
12,12,4,5,2,3,4,1,3,8,8,2,4,8,4,6,2,30,6,6,2,12,12,4,8,4,16,30,2,4,6,4,4,16,8,
8,32,12,8,4,32,6,2,4,6,6,8,8,4,8,8,16,16,24,24,8,8,8,1,1,4,5,1,1,3,4,4,8,3,2,
1,8,2,2,2,4,2,2,6,2,2,4,8,4,3,2,4,1,2,4,8,1,4,12,6,2,2,2,2,4,2,4,8,4,4,8,4,4,
8,8,4,4,4,4,4,4,4,4,4,8,1,1,2,1,2,1,2,1,1,2,2,1,2,2,2,2,4,4,2,4,4,4,4,4,4,1,1,
1,2,2,1],[1,33,30,2,16,24,13,9,60,73,60,106,20,12,32,1,13,6,14,24,9,8,6,9,25,
30,12,6,8,32,32,64,48,12,20,20,52,16,24,16,16,8,32,2,6,2,22,6,6,20,16,32,8,32,
8,16,1,1,5,12,1,3,3,12,3,12,12,3,8,5,3,4,1,8,2,4,2,4,8,4,18,2,6,10,6,12,20,4,
4,32,6,2,4,2,22,8,16,4,4,4,32,20,8,8,8,16,4,16,8,6,8,4,2,8,6,6,8,16,24,24,8,8,
8,1,1,3,4,1,1,3,4,8,8,5,1,2,4,6,4,2,2,4,2,2,2,2,8,2,4,4,1,2,3,4,2,8,1,4,12,6,
2,2,4,2,2,2,4,4,8,4,4,4,8,4,4,8,4,8,4,4,4,4,4,4,8,1,2,1,1,2,1,1,2,1,2,2,1,2,2,
2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,25,22,2,24,9,9,36,45,60,90,20,20,32,1,7,
6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,26,2,2,10,2,32,16,16,
16,16,1,3,12,3,3,12,3,12,12,4,4,4,1,4,1,4,4,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,
4,4,16,4,16,12,8,12,4,12,16,4,4,8,8,8,8,8,8,1,1,4,1,1,1,4,4,8,1,4,6,2,2,6,4,4,
1,4,4,4,4,8,8,4,4,4,4,4,8,1,1,1,1,2,2,2,2,1,2,2,2,1,1,1,1],[1,33,30,2,16,24,
13,9,60,73,60,106,36,28,32,1,13,6,14,24,9,8,6,9,25,30,12,6,8,32,32,64,48,12,
20,20,52,16,24,16,16,8,32,2,16,30,10,22,6,6,20,48,32,8,64,8,1,1,5,12,1,3,3,12,
3,12,12,3,8,4,4,5,8,3,4,1,8,2,12,2,4,8,8,8,4,8,8,18,2,6,10,6,12,20,4,4,32,6,2,
4,2,22,8,16,4,4,4,32,20,8,8,8,16,4,4,8,8,4,12,8,16,12,6,8,4,16,2,8,6,6,8,8,8,
24,24,1,1,3,4,1,1,3,4,8,8,5,1,2,4,6,4,2,2,4,2,2,2,2,8,2,4,6,4,8,1,2,2,3,4,4,4,
2,4,1,4,12,6,2,2,4,2,2,4,4,2,4,8,8,4,8,8,4,8,8,4,4,8,8,16,4,4,8,4,8,4,1,2,1,1,
1,1,2,1,1,2,1,2,2,1,1,2,4,4,4,4,1,2,2,2,2,2,2,4,4,4,4,8,1,1,2,2,2,1,2,2,2,1],[
1,33,30,2,16,24,9,37,36,49,84,106,36,28,32,15,7,6,14,24,3,6,15,25,30,4,6,8,8,
48,32,48,48,20,12,60,12,24,16,16,8,16,32,2,8,30,6,14,10,6,28,48,32,16,64,8,1,
1,3,12,5,1,3,12,3,12,12,12,5,2,4,8,3,4,1,3,8,4,8,2,8,8,4,8,4,8,8,6,2,30,6,6,2,
12,12,4,8,4,16,30,2,4,6,4,4,16,8,8,32,12,8,4,32,6,16,16,2,4,6,8,6,4,16,16,4,4,
4,8,4,8,8,8,8,24,24,1,1,4,5,1,1,3,4,4,8,3,2,1,8,2,2,2,4,2,2,6,2,2,4,8,4,3,4,2,
2,1,2,8,8,2,4,4,4,1,4,12,6,2,2,2,2,4,4,2,4,4,8,4,8,8,4,8,8,8,8,8,4,4,16,8,8,4,
4,4,4,1,1,2,1,1,2,1,1,2,1,2,1,2,4,1,1,4,4,2,4,1,2,2,2,2,2,2,4,4,4,4,8,1,1,2,2,
2,1,2,2,2,1],[1,41,54,14,16,168,13,49,36,97,276,190,44,20,16,17,7,42,50,168,3,
6,48,69,73,30,4,126,168,8,184,32,48,504,44,20,116,20,16,32,40,32,16,24,32,64,
16,6,8,58,10,10,6,10,12,8,16,64,8,1,7,3,12,14,168,23,1,63,252,3,12,126,12,9,2,
5,12,3,3,4,16,2,4,8,4,10,6,54,10,10,6,20,12,12,8,12,48,58,6,12,10,8,16,4,12,
48,16,16,64,8,16,12,8,12,64,6,6,8,8,2,4,42,4,16,42,6,4,12,16,6,6,12,4,8,8,8,8,
24,24,1,21,42,12,9,3,3,5,12,12,24,3,2,3,4,16,14,2,2,12,12,4,2,2,6,6,6,6,4,8,2,
6,6,2,42,2,2,4,4,8,8,16,8,4,21,2,2,8,1,6,12,2,6,12,4,4,4,3,4,12,6,2,2,2,2,4,2,
4,4,4,4,4,4,4,8,8,4,4,8,8,4,4,4,4,1,6,6,6,7,1,6,2,2,4,1,7,1,4,2,3,1,2,1,1,2,2,
2,2,3,4,4,4,4,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,33,62,14,32,184,13,
21,36,101,284,174,20,28,32,3,7,46,50,168,3,6,48,67,69,30,8,130,168,16,168,32,
48,520,12,20,28,20,32,64,24,48,40,40,48,64,32,10,32,10,14,6,10,6,8,16,32,64,8,
7,3,12,14,168,21,2,65,252,3,12,126,12,8,3,12,5,2,8,16,2,2,2,4,8,6,10,4,10,6,
10,12,8,20,32,12,64,6,10,12,6,16,32,10,12,64,24,16,48,16,32,8,32,12,48,4,6,16,
16,6,4,4,8,32,2,6,8,12,32,4,6,6,12,8,12,16,16,24,24,1,21,42,12,5,3,3,16,12,24,
2,8,3,8,12,4,12,12,4,2,2,6,6,6,6,8,16,6,6,6,2,4,4,4,8,16,16,32,8,2,2,4,4,16,2,
6,12,2,6,12,4,8,8,3,4,12,6,2,2,4,4,2,2,2,4,8,8,4,8,8,4,4,4,8,4,4,8,4,1,6,6,6,
2,2,6,4,8,1,2,8,4,3,2,2,1,2,2,4,3,4,4,4,4,2,4,2,4,4,4,4,2,1,2,1,1,2,4,2,1],[1,
49,46,6,48,24,45,21,180,165,76,294,36,12,32,1,49,6,90,24,45,90,13,141,270,28,
6,8,16,32,360,360,48,12,52,44,60,32,32,24,24,24,24,48,96,6,10,6,18,6,14,36,48,
16,48,8,6,15,45,180,2,3,2,3,12,135,270,12,12,6,8,3,12,3,2,4,4,12,2,4,4,8,6,6,
4,10,18,6,20,28,12,12,48,48,6,6,12,6,10,8,16,12,12,48,12,12,48,32,48,16,16,12,
48,24,48,6,12,4,8,6,12,24,48,6,12,6,12,8,8,8,16,16,18,45,1,12,3,3,3,12,12,24,
6,8,2,3,4,4,12,2,6,6,12,24,12,2,4,24,48,4,6,6,6,6,12,4,4,8,4,2,6,12,24,6,12,6,
12,4,3,4,4,8,2,4,4,4,4,2,4,4,4,4,4,4,4,4,4,8,8,8,4,8,8,4,1,2,12,6,6,6,6,2,1,2,
12,3,2,2,1,1,1,2,2,2,3,4,4,4,4,2,2,2,2,8,8,2,1,2,1,1,2,2,2,2,1],[1,33,62,14,
48,168,13,21,36,117,268,174,20,28,32,3,11,42,50,168,3,6,48,67,69,30,28,126,
168,16,168,32,48,504,12,36,28,28,32,64,24,40,32,24,40,48,64,6,16,10,14,10,6,
14,20,32,32,48,8,7,3,12,2,14,168,21,2,63,252,3,12,126,12,4,2,4,3,12,3,2,8,4,
12,2,4,4,8,6,6,4,10,10,6,20,12,12,16,12,24,48,6,6,12,6,10,16,32,8,4,12,48,20,
12,48,16,32,32,16,16,12,48,4,6,4,16,16,4,8,8,32,6,8,12,8,32,6,6,12,8,8,16,16,
8,8,16,16,1,21,42,12,3,3,3,12,12,24,2,4,2,4,3,4,8,12,4,4,12,12,2,2,6,6,6,6,8,
8,16,6,6,4,4,8,4,16,16,32,8,4,4,4,16,2,2,6,4,12,6,12,8,8,3,4,4,8,2,4,4,4,4,2,
4,4,4,4,4,4,4,4,4,8,8,8,4,8,8,4,1,2,6,6,6,2,6,4,8,1,2,8,4,3,2,2,1,1,1,2,2,2,3,
4,4,4,4,2,2,2,2,8,8,2,1,2,1,1,2,2,2,2,1],[1,65,30,6,24,53,21,244,141,60,310,
20,60,1,45,6,90,24,57,16,94,9,141,274,6,8,32,376,360,48,20,12,12,36,80,24,104,
80,40,64,10,6,10,18,30,6,64,64,8,6,2,15,45,180,3,3,12,137,270,12,2,16,3,12,5,
16,12,2,2,2,4,8,18,10,6,6,6,12,12,12,48,6,10,20,10,12,16,64,26,12,12,48,40,64,
64,64,6,12,6,2,4,6,14,28,4,12,4,24,6,12,48,48,24,24,18,45,1,2,16,3,3,3,12,12,
24,5,16,12,2,6,6,2,4,4,12,2,4,4,12,24,6,6,6,6,12,14,16,48,2,2,6,12,6,2,4,12,6,
12,24,3,4,12,6,2,2,4,4,2,2,2,8,4,8,4,8,4,4,8,4,4,4,8,8,4,1,6,8,6,2,6,6,6,1,6,
8,3,2,2,1,2,2,4,3,4,4,4,4,2,4,2,4,4,4,4,2,1,2,1,1,2,4,2,1],[1,57,38,6,16,24,
49,21,204,169,60,310,28,36,16,1,51,6,90,24,51,8,90,9,145,270,12,6,8,32,360,
376,48,20,28,28,60,16,48,40,48,48,24,64,48,6,10,6,26,18,10,20,24,24,64,8,6,1,
15,47,180,1,3,3,12,135,270,12,3,16,5,4,5,12,3,6,12,2,4,8,4,22,6,10,14,10,20,
20,12,12,24,64,10,6,12,6,22,16,48,12,12,12,64,20,24,24,24,24,48,4,12,24,6,12,
6,6,12,4,24,6,6,16,10,6,16,6,12,24,24,24,24,18,45,1,3,12,3,3,5,12,16,24,5,4,3,
6,12,2,6,6,6,12,4,12,2,2,2,4,2,2,12,24,2,6,16,6,6,6,6,12,6,8,24,4,3,6,3,6,12,
4,6,2,12,6,12,12,3,4,12,6,2,2,4,2,2,2,4,4,4,4,4,4,4,8,4,4,8,4,4,8,4,8,4,1,1,6,
2,3,4,6,6,6,6,1,1,6,3,4,3,1,1,2,1,2,2,2,2,3,4,4,4,4,2,2,2,2,4,4,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,25,22,2,24,9,9,36,45,60,90,36,36,32,1,7,6,14,24,3,6,9,21,30,
6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,10,16,10,18,18,10,10,16,32,16,80,1,3,12,3,
3,12,3,12,12,20,4,4,4,5,20,5,4,20,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,
4,4,4,16,8,8,4,16,4,8,8,8,16,16,4,4,4,4,8,4,8,1,1,4,1,1,1,4,4,8,1,4,2,8,2,2,2,
4,8,8,4,4,8,8,4,8,5,8,4,4,4,4,4,4,4,4,2,2,2,2,2,1,1,2,1,1,2,1,1,1,1,1],[1,25,
38,2,32,40,9,9,36,53,92,90,12,68,16,1,7,10,14,24,3,6,13,21,30,8,10,8,16,32,32,
48,64,4,12,20,12,8,32,40,24,32,32,6,48,6,18,2,22,2,8,8,16,32,32,8,1,3,12,3,2,
5,12,3,12,12,4,12,1,4,3,2,4,8,8,2,2,2,4,8,2,6,4,6,2,6,4,8,12,32,4,32,2,6,4,2,
10,4,32,16,8,16,8,32,4,16,8,10,4,4,4,16,2,4,16,4,8,8,8,12,16,16,24,24,1,1,4,3,
1,1,8,4,8,2,8,1,4,4,4,6,2,4,4,4,8,2,2,2,4,8,4,4,2,4,8,1,4,12,6,2,2,4,4,2,2,2,
4,8,4,4,4,4,4,8,4,4,4,8,4,4,8,4,2,2,1,2,2,2,2,1,1,1,2,2,2,1,2,2,4,4,4,4,4,4,4,
4,1,1,1,2,2,1],[1,25,38,2,48,24,9,9,36,69,76,90,12,36,48,1,11,6,14,24,3,6,13,
21,30,28,6,8,16,32,32,48,48,4,28,20,20,16,32,8,8,8,8,16,48,2,6,2,6,18,10,20,
40,48,32,16,8,1,3,12,2,3,2,3,12,3,12,12,4,2,4,1,4,1,2,12,4,8,4,2,4,4,8,2,2,4,
6,6,2,12,12,4,4,24,16,2,2,4,2,10,8,16,4,4,16,4,4,16,16,24,16,16,4,16,4,16,8,
12,8,12,8,8,8,16,16,8,16,8,8,16,16,1,1,4,1,1,1,4,4,8,2,4,2,1,4,4,4,4,4,8,4,4,
4,8,4,6,4,2,4,4,8,8,1,4,4,8,2,4,4,4,4,2,4,4,8,8,4,4,4,8,8,8,4,8,8,4,2,2,1,2,2,
2,2,1,2,2,2,2,1,2,2,8,8,8,8,1,1,1,4,1],[1,41,22,2,24,17,9,100,45,60,106,28,20,
48,1,7,6,14,24,15,16,10,9,21,34,6,8,32,48,48,48,12,4,4,28,32,8,40,32,24,32,6,
2,6,22,10,2,16,40,32,32,32,8,2,1,3,12,3,3,12,5,12,12,2,8,4,4,1,4,3,8,8,4,2,2,
2,4,8,14,6,2,2,2,4,4,4,16,2,6,12,6,12,8,32,10,4,4,16,16,32,32,32,4,16,16,8,6,
12,4,16,6,12,4,4,8,8,16,24,24,1,1,2,8,1,1,1,4,4,8,3,8,4,2,4,4,4,4,4,8,6,2,2,4,
2,4,2,2,8,2,4,8,1,4,12,6,2,2,4,4,2,2,2,4,4,4,8,4,4,4,4,4,8,4,4,4,8,8,4,2,2,1,
2,2,2,2,1,1,1,2,2,2,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,49,30,6,24,45,21,
180,141,60,294,12,28,16,1,45,6,90,24,45,90,9,141,270,6,8,32,360,360,48,12,12,
12,12,24,24,24,24,48,6,16,6,14,6,6,6,8,16,48,16,6,15,45,180,3,3,12,135,270,12,
12,4,3,12,3,4,12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,4,10,12,
4,16,6,4,16,6,6,12,8,8,8,18,45,1,12,3,3,3,12,12,24,3,12,2,6,6,12,2,6,6,6,6,12,
2,8,2,6,12,6,12,3,4,4,4,4,4,4,4,4,4,8,1,6,6,6,6,2,3,1,1,2,3,2,2,2,4,4,4,4,1,1,
1,2,2,1],[1,33,46,14,168,13,21,36,93,252,174,28,12,16,3,7,42,50,168,3,6,48,63,
69,30,126,168,168,32,48,504,12,12,12,12,24,24,24,24,48,6,6,6,14,6,6,16,24,48,
16,7,3,12,14,168,21,63,252,3,12,126,12,4,4,3,12,3,12,6,6,6,6,6,12,12,12,48,6,
6,12,6,12,48,12,12,48,12,48,6,4,16,10,4,12,16,6,6,4,12,8,8,8,1,21,42,12,3,3,3,
12,12,24,3,12,12,12,2,2,6,6,6,6,6,6,2,2,6,8,12,6,12,3,4,4,4,4,4,4,4,4,4,8,1,6,
6,6,6,2,3,1,1,2,3,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,41,38,2,32,40,17,9,100,53,92,
106,20,36,1,7,10,14,24,15,16,10,13,21,34,8,10,8,16,32,48,48,64,12,12,20,36,32,
32,40,40,48,48,48,10,32,6,14,14,14,2,8,32,48,8,8,16,2,1,3,12,3,2,5,12,5,12,12,
2,8,8,1,4,5,2,8,8,2,2,2,2,2,4,2,4,8,8,14,10,4,6,2,6,4,8,12,32,4,32,2,10,12,6,
10,12,8,48,10,16,8,16,8,32,16,32,32,32,4,6,4,4,2,2,4,4,6,12,4,4,4,8,8,12,24,
24,24,24,8,8,8,16,16,16,16,1,1,2,8,3,1,1,8,4,8,2,8,3,8,4,4,2,4,4,4,4,4,4,8,6,
2,4,4,4,6,8,2,2,2,2,4,2,4,2,2,2,4,4,1,4,4,12,12,6,6,2,2,2,4,4,2,4,4,2,2,2,2,2,
2,8,4,4,8,4,4,4,8,4,4,8,4,4,4,8,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,2,2,2,2,
1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,
2,2,2,2,4,1],[1,41,54,2,112,24,13,37,60,133,132,154,44,20,16,15,25,6,14,24,9,
8,6,27,37,30,84,6,8,56,80,32,96,48,36,92,116,100,16,32,32,32,16,16,16,16,48,
48,2,8,54,6,46,6,42,92,24,16,8,48,56,1,1,1,9,12,7,9,7,3,12,3,12,12,7,8,9,2,23,
4,21,4,1,21,4,28,2,8,14,14,42,4,8,4,8,4,4,4,4,8,42,2,54,42,46,6,84,92,4,8,4,
24,32,54,2,4,6,42,8,16,4,46,8,16,4,8,8,48,92,24,16,84,8,8,8,8,32,6,4,4,8,2,4,
6,4,8,6,6,4,4,8,2,8,6,6,8,4,8,8,8,56,168,168,168,1,1,7,4,9,1,1,21,4,8,8,23,4,
21,2,1,28,4,2,8,2,2,2,6,4,4,4,2,2,4,2,2,4,8,2,2,2,8,2,6,2,4,2,4,2,4,4,8,8,4,4,
4,3,2,2,1,2,1,3,2,4,4,2,2,4,4,1,28,84,84,84,42,42,42,84,2,2,2,2,4,2,2,2,2,4,4,
4,4,2,2,2,4,4,4,56,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,8,8,8,8,4,4,4,8,4,4,8,
4,8,4,8,8,4,4,4,1,2,2,1,1,1,2,2,7,7,21,1,1,1,2,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,2,2,2,2,2,2,4,4,4,4,8,4,4,4,4,8,
4,4,4,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,4,4,1],[1,25,22,2,24,9,9,36,45,60,90,36,
36,32,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,4,4,4,4,8,8,8,8,16,2,26,2,10,18,
2,16,32,16,32,16,1,3,12,3,3,12,3,12,12,4,4,4,4,1,4,1,4,8,4,2,2,2,2,2,4,4,4,16,
2,2,4,2,4,16,4,4,16,4,16,4,8,16,12,4,12,4,8,16,8,8,4,16,8,16,1,1,4,1,1,1,4,4,
8,1,4,6,2,4,2,2,8,4,8,1,4,4,4,8,4,4,4,4,4,8,2,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1],[
1,25,22,2,24,9,9,36,45,60,90,4,36,64,1,7,6,14,24,3,6,9,21,30,6,8,32,32,48,48,
4,4,4,4,8,8,8,8,16,2,16,2,10,2,10,2,48,48,16,16,1,3,12,3,3,12,3,12,12,4,4,4,1,
4,1,12,4,4,2,2,2,2,2,4,4,4,16,2,2,4,2,4,16,4,4,16,4,16,4,12,16,4,12,16,24,16,
4,4,8,16,8,1,1,4,1,1,1,4,4,8,1,4,6,8,2,2,6,8,4,1,4,8,4,4,4,4,4,8,4,4,1,2,1,2,
1,1,2,2,2,2,2,1,1,1,1,1],[1,25,38,2,48,24,9,9,36,69,76,90,28,20,16,1,11,6,14,
24,3,6,13,21,30,28,6,8,16,32,32,48,48,4,28,20,20,16,32,8,8,8,8,16,48,10,14,10,
14,10,18,20,24,16,80,8,16,1,3,12,2,3,2,3,12,3,12,12,20,2,4,5,20,5,2,4,4,20,2,
4,4,8,2,2,4,6,6,2,12,12,4,4,24,16,2,2,4,2,10,8,16,4,4,16,4,4,16,16,24,16,16,4,
16,4,4,8,4,8,4,8,4,4,4,8,8,4,4,4,8,4,8,8,8,8,16,16,8,8,8,1,1,4,1,1,1,4,4,8,2,
4,2,1,4,4,4,4,4,8,4,4,4,8,4,2,2,4,4,8,4,4,8,8,4,8,4,5,4,4,8,2,4,4,4,4,2,4,8,8,
8,8,4,8,8,4,4,4,4,4,4,8,2,2,1,2,2,2,2,2,1,1,2,2,2,2,8,2,8,8,8,1,1,1,4,1],[1,
25,38,2,48,8,9,9,36,69,44,74,44,36,16,1,11,2,14,3,6,9,17,30,28,2,16,8,32,48,8,
8,40,40,40,8,16,8,32,8,8,16,16,24,6,16,22,10,18,14,14,44,24,16,64,8,16,1,3,12,
2,1,2,1,3,12,12,2,4,6,4,3,8,3,4,4,4,12,2,2,2,2,4,4,6,12,12,4,4,2,2,6,8,10,6,
12,20,4,12,8,4,2,2,10,4,2,8,8,8,4,8,24,12,16,8,4,4,12,6,8,4,4,6,8,4,4,12,4,4,
8,8,4,4,12,8,8,4,8,8,16,24,16,8,8,1,1,1,2,4,2,2,4,2,1,1,3,6,2,4,2,2,2,2,4,1,1,
1,2,2,2,2,2,2,1,2,2,1,4,2,6,4,2,6,2,6,4,2,4,4,8,2,6,2,2,2,4,3,2,2,2,3,2,2,6,2,
4,4,2,4,2,2,4,6,2,4,2,6,6,2,4,4,2,4,6,6,6,4,4,6,6,4,2,2,2,2,4,4,4,8,8,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,3,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,1,3,2,2,2,4,2,2,
2,2,2,2,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,25,38,2,48,24,9,9,20,53,76,58,44,
36,16,1,7,6,6,24,3,2,13,17,2,28,6,8,16,32,8,8,48,8,32,24,32,8,16,16,16,16,8,
16,16,32,24,6,16,34,14,22,10,14,28,8,16,16,64,8,16,1,1,2,3,2,3,12,1,12,2,12,4,
4,4,3,8,3,2,4,4,4,12,2,2,2,2,6,12,4,8,12,4,4,2,4,6,8,2,12,12,8,4,8,2,2,4,2,10,
4,8,4,6,4,8,2,4,4,8,16,4,8,16,8,8,8,4,4,4,4,12,4,4,8,12,6,4,8,4,8,6,8,4,4,4,
12,4,8,8,4,8,16,16,24,8,8,1,2,1,2,2,2,2,1,4,2,2,2,1,2,2,4,1,2,1,1,2,2,3,2,2,2,
2,1,2,4,4,6,2,2,4,1,2,2,1,2,6,2,4,6,2,2,4,4,8,2,6,2,2,2,4,3,3,4,6,2,2,2,2,2,2,
2,4,4,2,2,4,6,4,2,2,6,4,6,4,2,2,6,4,4,6,6,6,6,4,4,4,2,2,4,4,2,2,8,8,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,3,2,1,2,2,2,2,2,2,2,2,2,2,2,2,3,1,2,2,2,4,2,2,2,
2,2,2,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,33,30,2,16,8,13,9,60,73,28,90,36,28,
32,1,13,2,14,9,8,6,5,21,30,12,2,8,32,64,8,16,16,24,40,8,16,16,16,8,16,16,16,
32,24,6,16,22,10,26,10,10,28,48,16,8,48,8,16,1,1,5,12,1,1,1,3,12,3,8,2,4,5,8,
5,8,3,2,4,2,12,2,2,2,2,4,6,12,12,4,4,4,18,2,2,8,6,2,12,12,4,12,8,8,2,2,4,2,18,
4,8,4,8,4,8,12,12,4,8,8,8,4,4,16,12,6,8,4,4,4,6,2,16,12,4,2,8,2,2,4,4,12,8,4,
32,8,24,8,8,1,3,1,3,2,3,2,2,2,1,1,3,2,4,2,2,4,2,2,4,1,1,1,2,2,2,2,2,2,2,1,2,2,
1,2,1,1,8,6,4,6,2,6,2,4,12,2,6,2,2,6,3,2,2,2,3,2,2,6,2,4,2,4,4,2,2,4,2,2,4,4,
8,2,2,2,2,8,4,2,4,2,6,6,6,6,8,4,2,2,2,2,4,4,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,2,1,1,2,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,1,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,33,30,2,16,24,9,37,20,33,84,74,36,28,32,15,3,6,6,
24,3,2,15,21,2,4,6,8,8,48,8,8,48,24,16,64,24,8,16,32,8,8,16,8,16,24,6,8,34,10,
22,10,10,20,32,32,16,48,8,16,1,1,1,5,1,3,12,1,12,2,12,5,2,2,4,5,8,3,3,8,4,8,2,
2,2,2,6,12,4,12,4,4,4,8,2,30,6,8,2,12,12,4,8,30,2,4,6,4,8,2,4,8,2,8,4,8,12,8,
8,6,4,4,8,4,2,4,6,8,4,8,6,6,8,8,4,8,6,8,4,4,4,12,8,4,32,24,8,8,8,1,2,5,3,2,3,
1,2,2,1,2,2,4,1,2,1,1,2,2,2,3,2,6,2,2,1,2,4,3,4,4,1,2,1,1,2,2,6,4,6,2,4,2,4,
12,2,6,2,6,2,2,2,3,3,4,6,2,2,2,2,2,4,4,2,2,4,2,4,2,2,8,2,2,4,2,8,2,2,4,4,6,6,
6,6,8,4,4,2,2,4,4,2,2,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,2,1,2,1,2,2,
2,2,2,2,2,2,2,2,2,2,1,3,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,29,26,4,48,11,3,52,29,60,48,28,24,32,3,4,4,16,9,8,4,8,6,5,4,18,24,12,16,
8,60,8,4,4,24,12,16,20,12,24,56,2,8,8,6,22,8,4,16,32,16,16,40,4,8,8,1,1,1,12,
3,12,2,3,3,6,2,2,4,2,1,2,4,4,4,2,1,1,2,5,10,2,4,8,8,6,2,4,4,8,8,8,14,16,5,4,8,
8,6,8,8,16,7,4,4,8,2,8,2,4,4,12,8,2,10,5,2,6,6,4,4,4,8,8,8,4,4,4,4,4,1,1,4,1,
2,2,2,2,6,4,1,1,2,4,5,4,1,2,2,1,3,2,4,2,1,2,3,4,2,2,4,2,2,6,1,2,2,6,4,2,4,1,2,
2,1,3,8,2,4,4,4,2,4,4,4,2,2,4,4,8,2,4,6,6,2,4,2,2,2,4,4,1,1,2,2,1,2,1,2,1,1,1,
2,2,2,2,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,21,34,4,16,
48,7,3,12,57,60,48,36,32,16,9,4,4,16,3,8,6,9,12,18,24,12,24,60,12,12,24,12,48,
12,12,24,24,6,8,4,10,14,12,36,8,16,24,40,12,8,3,1,1,12,3,12,3,6,2,7,3,2,4,6,4,
3,3,2,3,6,2,4,12,6,6,12,12,12,24,6,6,3,12,24,12,6,3,4,8,2,8,2,4,12,8,6,6,9,12,
4,6,4,4,4,8,12,12,4,4,4,1,3,6,3,6,3,4,3,6,3,3,6,1,3,2,4,3,2,3,2,6,4,2,2,6,3,6,
6,6,3,2,9,3,4,2,4,2,4,4,6,6,4,12,6,6,6,6,2,2,2,4,4,1,3,2,3,3,1,1,2,1,2,2,3,1,
3,3,2,2,2,6,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,29,26,16,16,15,11,60,25,44,68,28,
56,1,4,10,20,7,17,30,4,4,8,8,60,20,16,4,8,20,8,16,12,20,24,12,56,2,32,18,16,
16,14,4,12,24,40,4,8,8,1,1,1,2,15,15,2,4,2,8,2,1,3,6,6,2,1,2,1,2,5,10,8,4,4,4,
4,8,8,16,2,6,4,4,5,8,16,6,14,8,4,8,4,8,6,6,12,6,4,2,5,2,12,12,7,6,10,12,12,8,
8,4,4,4,4,4,1,2,4,1,2,1,2,4,4,1,2,2,4,2,1,5,1,6,2,1,3,1,2,6,2,2,4,3,2,6,2,6,2,
1,2,2,4,4,6,2,2,1,1,3,8,4,2,4,2,4,2,2,4,4,4,4,2,6,6,4,8,4,4,2,2,2,2,4,4,1,2,1,
2,1,2,1,2,1,1,2,1,2,2,1,2,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,37,18,15,39,60,21,36,84,20,48,16,15,10,20,9,21,30,24,60,20,12,36,48,12,
12,24,12,24,6,24,18,12,12,18,8,16,24,40,12,8,1,1,3,15,15,2,4,3,6,3,4,6,6,3,2,
3,2,3,6,12,4,18,18,6,12,12,3,6,6,24,12,24,12,6,12,4,2,4,9,2,12,12,3,6,6,12,12,
12,12,4,4,4,1,3,3,6,3,4,6,3,3,3,6,6,1,3,2,6,3,2,3,6,6,2,6,3,6,6,6,2,3,9,3,4,2,
2,4,4,6,6,4,4,6,6,6,12,6,2,2,2,4,4,1,3,2,3,3,1,1,2,1,2,2,3,1,3,3,2,2,2,6,6,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,53,18,23,39,124,21,36,100,12,64,15,22,16,24,9,21,
34,24,76,20,12,36,112,12,12,56,56,12,24,10,40,18,24,18,40,24,8,12,8,1,1,2,3,
17,15,3,10,5,10,6,2,3,3,3,6,20,18,18,10,20,24,3,14,6,6,24,28,40,40,24,24,10,
20,9,3,6,6,12,12,12,24,24,12,4,4,4,8,8,8,8,1,3,5,10,6,3,8,10,3,3,3,6,4,6,12,1,
3,5,3,6,6,4,12,2,6,6,3,10,10,6,3,9,3,2,4,12,2,4,6,6,6,6,6,20,6,2,2,2,4,4,4,4,
4,4,8,1,2,3,1,3,5,3,1,2,4,4,2,2,2,2,3,1,3,3,2,2,2,6,2,2,2,2,6,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,21,50,4,48,64,7,3,12,65,92,48,12,32,32,9,8,4,16,3,8,10,
9,20,22,24,16,12,24,76,12,12,24,16,64,12,64,24,12,12,40,24,16,10,24,10,6,16,
12,32,16,24,24,12,8,8,3,1,1,12,2,5,12,3,6,6,3,4,5,4,6,3,2,3,3,6,12,8,10,6,16,
12,20,24,24,16,16,6,6,6,3,20,24,12,8,16,24,6,3,4,4,8,8,4,12,8,6,6,9,12,6,4,8,
24,12,12,24,4,4,4,8,8,8,8,1,5,6,3,6,4,6,3,4,3,6,3,4,3,6,4,4,4,8,1,3,4,3,2,3,6,
2,4,12,2,6,3,6,6,6,6,4,4,3,9,3,2,4,4,2,8,4,6,6,12,6,6,6,8,6,2,2,2,4,4,4,4,4,4,
8,1,3,2,1,3,3,2,1,1,2,2,4,2,2,4,2,2,3,1,3,3,2,2,2,6,2,2,2,2,6,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,29,42,4,32,64,11,3,52,37,92,48,36,24,16,3,8,4,16,9,8,4,
8,10,5,4,8,22,24,16,12,16,8,76,8,4,4,24,16,32,12,32,24,20,12,40,88,16,6,24,4,
6,30,12,4,24,8,16,16,24,4,8,8,8,1,1,1,12,2,5,12,2,3,3,6,6,6,2,3,4,4,2,1,2,1,5,
18,8,8,10,2,8,12,24,8,8,8,16,6,8,22,16,5,12,8,8,8,16,24,6,8,8,16,15,4,8,8,12,
8,2,18,5,2,10,6,4,8,8,24,4,4,24,4,4,4,8,8,8,8,1,1,4,3,2,2,6,4,2,2,6,4,1,1,2,8,
5,4,8,1,2,2,4,8,1,3,4,2,3,3,4,2,2,4,12,2,6,1,6,2,6,6,4,2,8,1,2,1,3,8,2,4,12,2,
4,4,4,2,2,4,8,2,4,6,14,2,4,2,2,2,4,4,4,4,4,4,8,1,1,2,2,1,1,2,3,2,3,1,2,4,4,2,
2,2,2,2,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,45,26,16,16,23,11,124,25,44,84,20,40,16,1,4,22,16,24,7,17,34,4,4,8,8,76,
20,16,4,8,20,8,48,12,20,56,56,12,56,32,6,16,18,12,4,14,4,12,8,16,40,24,8,4,8,
8,1,2,1,1,2,17,15,2,4,2,3,3,4,10,6,2,2,1,1,5,10,8,8,4,4,4,8,8,8,16,2,10,12,8,
5,8,16,14,6,14,8,4,8,20,40,40,8,2,2,12,6,4,8,4,4,8,5,7,6,10,12,12,8,8,4,24,24,
4,4,4,4,8,8,8,8,1,2,4,1,2,3,10,2,4,4,4,1,2,2,4,4,2,1,5,1,6,4,2,12,1,3,1,2,2,4,
3,2,6,4,12,2,6,6,2,1,2,2,4,4,4,4,6,2,1,1,3,8,2,4,2,4,4,8,2,2,4,4,2,6,6,4,8,4,
8,4,2,2,2,2,4,4,4,4,4,4,8,1,2,2,1,1,1,2,1,2,2,1,2,1,2,4,2,2,2,4,2,1,2,1,1,2,1,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,51,40,35,54,
54,144,24,15,9,108,27,16,2,40,8,24,24,1,27,27,16,12,72,6,24,9,8,2,2,6,6,8,6,6,
1,1],[1,9,42,16,24,2,36,3,3,27,18,18,36,48,96,24,6,9,9,18,18,36,36,9,18,16,8,
12,12,10,8,24,24,1,9,18,18,9,16,24,12,12,36,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[
1,3,48,4,36,16,36,1,18,18,18,36,24,120,12,12,3,12,9,72,18,18,9,18,16,1,1,8,32,
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],[1,3,48,4,36,4,36,12,1,36,18,36,24,120,12,12,3,12,9,36,36,18,18,9,18,
16,1,4,5,20,12,4,4,12,12,12,12,1,9,18,9,18,16,6,12,18,36,12,3,3,12,12,9,4,4,1,
1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,51,40,5,84,54,144,24,9,15,54,54,27,16,20,10,
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],[1,27,40,5,48,
18,16,72,3,15,18,18,9,16,20,10,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,27,
40,23,30,18,16,72,3,15,36,9,16,20,10,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,
1],[1,9,18,16,24,2,3,3,27,18,18,16,72,3,6,9,18,18,9,16,8,12,12,10,8,1,9,9,16,
12,12,6,3,8,1,1,2,1,3,1,1],[1,21,6,16,24,2,3,21,9,18,18,16,48,24,3,6,9,18,18,
9,16,8,12,12,10,8,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,27,40,35,18,18,16,72,
15,3,36,9,16,2,40,8,1,9,9,16,12,6,12,3,8,2,2,1,3,1,1],[1,21,18,40,3,35,9,36,
36,12,4,12,48,15,9,9,24,12,36,18,16,2,40,8,12,12,12,12,1,3,3,18,18,16,1,3,6,6,
4,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,9,30,4,36,52,1,3,27,36,12,4,12,36,12,3,9,
21,24,3,27,9,9,9,9,16,1,1,8,32,12,4,4,12,12,12,1,3,3,9,9,9,9,16,1,3,3,3,6,4,
12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,21,18,4,36,3,16,1,18,36,45,12,12,4,12,
36,3,9,9,12,6,18,12,36,18,16,1,1,8,32,4,4,12,12,12,12,3,1,3,18,18,16,1,3,3,3,
6,4,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,45,18,6,45,15,180,135,270,16,45,90,
45,90,135,270,360,360,48,6,15,45,180,135,270,16,18,45,1,1,3,1],[1,45,26,15,35,
60,25,60,100,20,40,16,5,10,20,15,25,30,40,60,20,20,20,80,20,40,20,40,10,10,20,
10,40,16,16,16,1,5,15,15,5,10,10,10,20,20,10,10,40,20,40,10,20,15,5,10,16,1,5,
10,5,10,5,5,5,10,5,10,5,1,1,1,1,1],[1,25,46,40,15,5,60,35,80,60,40,20,16,10,
10,20,10,15,30,10,60,20,40,20,20,20,40,20,120,20,10,10,10,40,32,16,1,5,15,15,
5,10,10,20,40,10,20,40,10,30,20,10,5,15,10,16,1,5,10,10,10,10,10,10,5,5,1,2,1,
1],[1,35,35,30,70,16,5,15,60,35,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,15,
20,5,30,10,20,20,10,40,16,15,5,20,40,10,5,20,20,16,1,5,10,10,10,5,10,16,5,5,5,
5,1,1,1],[1,35,35,30,70,16,15,5,60,15,20,20,16,1,15,15,10,10,16,5,5,5,5,1,1,
1],[1,15,28,7,28,84,8,7,8,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,15,28,35,84,8,15,7,
28,8,1,8,21,8,7,1,1,1,1],[1,43,28,7,70,42,56,28,8,7,7,42,42,21,7,7,28,8,21,8,
7,7,14,7,7,8,7,7,1,1],[1,1,42,28,7,28,21,21,42,56,28,8,7,7,42,42,21,7,7,28,8,
21,8,7,14,7,7,7,8,7,7,1,1],[1,22,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,
21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,28,21,28,8,7,7,21,28,8,
21,8,7,7,8,7,7,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,
15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,31,5,45,45,6,110,45,
45,10,6,5,10,5,45,15,6,10,20,18,15,30,15,6,5,10,1,6,5,3,1,1],[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],[1,45,42,64,14,168,7,105,63,252,126,84,64,45,42,42,168,48,63,63,
126,168,168,504,84,252,126,112,224,3,7,14,168,21,63,252,126,21,126,126,126,
126,112,21,42,21,42,126,63,28,56,1,21,21,28,3,1,1],[1,21,66,64,14,48,168,7,21,
75,276,126,12,24,48,64,3,42,42,168,48,69,63,12,126,168,24,168,504,12,24,12,48,
96,24,48,24,48,24,6,12,12,24,48,112,224,7,14,168,21,3,63,252,126,6,3,12,6,6,
12,24,24,48,12,12,24,48,12,24,6,24,24,6,12,48,12,48,12,12,24,24,16,32,64,21,
42,3,6,12,6,12,24,6,12,24,24,48,12,6,6,24,3,12,12,28,56,1,3,6,12,3,12,6,4,8,
16,3,1,1],[1,45,42,64,6,48,45,15,180,171,270,36,48,64,51,90,45,90,135,270,36,
360,360,36,36,72,48,144,18,36,72,96,240,6,15,45,180,3,135,270,9,12,18,36,72,
18,36,72,36,72,18,36,72,18,64,48,18,45,9,12,18,36,6,36,72,9,18,36,24,60,1,3,
18,3,18,4,24,3,1,1],[1,69,18,64,6,57,15,252,135,270,12,72,64,45,90,63,24,90,
135,270,360,360,12,36,72,144,72,18,36,72,96,240,6,3,15,45,180,135,270,3,18,18,
18,36,36,72,72,18,36,18,36,72,72,16,96,18,45,3,18,18,36,18,24,72,9,18,36,24,
60,1,9,12,9,12,12,16,3,1,1],[1,33,46,64,14,168,13,21,36,93,252,174,12,12,64,3,
7,42,50,168,3,6,48,63,69,30,126,168,168,32,48,504,12,12,12,12,24,24,24,24,48,
6,6,6,6,6,6,48,112,224,7,3,12,14,168,21,63,252,3,12,126,12,3,12,3,12,6,6,6,6,
6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,6,6,12,6,6,12,16,32,32,1,21,42,12,
3,3,3,12,12,24,3,12,12,12,2,2,6,6,6,6,6,6,6,12,6,12,3,28,56,1,6,6,6,6,3,3,4,8,
8,1,1,1],[1,49,30,64,6,24,45,21,180,141,60,294,12,12,64,1,45,6,90,24,45,90,9,
141,270,6,8,32,360,360,48,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,96,240,6,
15,45,180,3,3,12,135,270,12,12,3,12,3,12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,
12,12,48,12,48,6,12,6,6,6,12,32,16,32,18,45,1,12,3,3,3,12,12,24,3,12,2,6,6,12,
2,6,6,6,6,12,6,12,6,12,3,24,60,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,57,54,16,6,72,45,
33,180,153,180,342,36,36,16,48,48,3,45,18,90,72,45,90,27,153,270,18,24,96,360,
360,144,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,48,48,6,15,
45,180,9,9,36,135,270,36,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,
36,144,36,36,144,36,144,18,36,18,18,18,36,12,12,24,12,24,24,16,18,45,3,36,9,9,
9,36,36,72,9,36,6,18,18,36,6,18,18,18,18,36,18,36,18,36,9,1,8,12,12,24,12,24,
1,18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,57,54,16,14,168,25,21,108,153,252,
270,36,36,48,16,48,3,21,42,66,168,9,18,48,63,81,90,126,168,168,96,144,504,36,
36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,48,48,7,9,36,14,168,21,
63,252,9,36,126,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,
36,36,144,36,144,18,18,36,18,18,36,12,12,24,24,12,24,16,3,21,42,36,9,9,9,36,
36,72,9,36,36,36,6,6,18,18,18,18,18,18,18,36,18,36,9,1,8,12,12,24,12,24,1,18,
18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,57,54,16,6,72,45,33,180,153,180,342,36,36,
16,48,48,3,45,18,90,72,45,90,27,153,270,18,24,96,360,360,144,36,36,36,36,72,
72,72,72,144,18,18,18,18,18,18,144,12,8,16,48,48,6,15,45,180,9,9,36,135,270,
36,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,36,36,144,36,
144,18,36,18,18,18,36,12,12,24,12,24,24,16,18,45,3,36,9,9,9,36,36,72,9,36,6,
18,18,36,6,18,18,18,18,36,18,36,18,36,9,1,8,12,12,12,24,24,1,18,18,18,18,9,9,
1,3,3,12,3,1,3,3,1],[1,21,34,64,4,16,48,7,3,12,57,60,48,12,24,64,9,4,4,16,3,8,
6,9,12,18,24,12,24,60,12,12,24,12,48,12,12,24,24,6,6,6,12,12,24,24,12,16,16,
48,64,3,1,1,12,3,12,3,6,3,3,6,3,3,3,6,12,6,6,12,12,12,24,6,6,3,12,24,12,6,3,
12,6,6,9,12,6,12,12,16,16,16,32,1,3,6,3,6,3,4,3,6,3,3,6,1,3,3,3,6,2,6,3,6,6,6,
3,9,3,6,6,12,6,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,37,18,64,15,
39,60,21,36,84,12,24,64,15,10,20,9,21,30,24,60,20,12,36,48,12,12,24,12,24,6,
24,18,12,6,24,12,96,48,1,1,3,15,15,3,6,3,6,3,3,3,6,12,18,18,6,12,12,3,6,6,24,
12,24,12,6,12,9,3,6,6,12,12,16,32,32,1,3,3,6,3,4,6,3,3,3,6,6,1,3,3,3,6,2,6,3,
6,6,6,3,9,3,6,6,6,6,6,12,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,37,18,
16,15,23,60,21,36,84,28,72,16,16,16,3,10,20,9,21,30,24,60,20,12,12,48,12,24,
12,24,6,6,12,24,30,48,72,8,12,16,16,16,1,3,15,15,4,12,3,12,6,6,6,12,6,6,12,12,
6,6,24,12,24,6,12,6,9,6,24,24,3,6,24,24,12,4,8,4,8,8,16,1,3,6,3,6,3,3,3,6,12,
6,3,6,12,6,6,6,12,12,1,4,8,4,4,8,3,4,3,3,6,1,1,1,4,3,1,1,1,1],[1,25,30,16,2,
24,9,9,12,57,60,66,40,36,24,16,16,16,1,9,6,6,24,3,9,21,6,8,32,24,48,12,24,24,
12,12,24,12,24,24,30,12,12,6,6,12,24,72,8,12,16,16,16,1,3,3,3,12,12,6,4,6,3,6,
12,12,12,6,6,12,6,12,24,6,6,24,6,6,6,6,12,6,24,12,9,6,6,24,3,12,12,4,12,8,8,4,
8,16,1,3,6,6,3,6,3,3,3,6,3,12,3,6,6,3,6,6,6,12,12,1,4,8,4,8,4,3,1,3,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,33,22,16,2,9,21,36,45,36,90,48,12,40,16,16,16,3,7,14,3,6,
9,21,30,24,32,48,24,12,24,12,24,12,12,24,12,6,18,6,24,60,48,24,12,8,16,16,16,
1,3,12,3,3,12,6,10,3,12,6,12,12,6,6,6,12,12,6,6,6,24,24,18,24,3,6,12,9,6,18,
24,6,6,12,12,4,8,4,8,8,16,1,3,6,3,3,3,6,3,6,6,3,9,12,3,6,6,6,6,24,1,4,8,4,4,8,
3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,21,42,16,16,24,7,7,28,57,60,36,48,24,24,
32,48,1,9,6,7,8,9,9,12,6,8,24,24,12,12,36,36,48,24,24,24,48,6,12,12,30,6,6,36,
36,24,8,4,4,4,16,16,16,1,3,1,1,3,3,9,6,3,3,6,2,12,6,6,12,18,6,6,6,6,6,12,12,
12,6,12,6,18,12,12,12,6,12,6,3,6,12,3,6,6,12,6,6,12,12,24,24,8,8,8,12,4,4,8,8,
8,16,3,3,3,3,6,6,3,3,6,6,6,3,3,3,4,12,6,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,12,12,4,
4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,45,18,16,16,15,
35,52,21,36,60,24,48,24,32,48,15,3,7,6,9,9,6,4,8,24,24,8,12,12,36,36,72,24,24,
48,6,24,18,18,12,12,6,12,12,24,24,8,4,4,4,16,16,16,1,1,3,1,3,6,3,6,3,3,3,6,2,
6,12,6,12,6,18,6,6,12,12,12,18,6,12,18,6,6,12,12,18,6,12,6,12,3,6,12,3,12,6,6,
6,24,24,8,8,8,4,8,12,4,8,8,16,3,3,3,3,3,6,6,6,6,6,3,3,3,3,4,12,6,6,6,3,3,6,6,
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],[1,51,64,39,90,78,64,15,6,21,132,42,27,30,6,12,12,96,48,1,1,3,3,27,30,
27,9,18,18,6,12,12,16,64,3,9,6,3,9,3,6,9,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,3,48,64,4,40,36,1,18,30,30,48,64,3,3,12,6,12,6,24,72,48,18,12,6,18,9,12,
12,12,6,12,16,16,48,64,1,1,3,3,9,6,6,12,12,12,6,6,12,12,9,9,6,12,6,12,12,16,
16,16,32,3,3,6,6,3,9,3,3,6,6,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,37,42,
16,16,24,15,7,52,33,60,36,40,24,24,32,32,16,1,3,6,7,6,9,3,6,4,6,24,24,6,18,42,
42,48,24,24,24,24,96,48,18,6,18,6,12,24,12,20,4,4,4,16,16,16,3,3,1,1,3,3,3,4,
3,3,9,6,6,6,6,6,6,3,9,3,3,6,6,6,12,12,3,6,3,12,6,9,18,6,18,6,6,6,3,6,6,3,3,6,
6,12,3,6,6,6,6,12,8,24,24,24,8,8,8,8,8,8,4,4,4,8,16,3,3,3,6,3,3,3,3,3,3,6,6,6,
6,1,3,3,3,3,3,3,6,3,3,3,6,6,6,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,12,4,4,4,4,4,
4,4,4,4,8,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,43,24,16,19,98,
12,24,16,54,32,32,16,1,2,45,6,24,60,12,30,24,48,24,12,15,18,2,12,4,8,16,16,16,
3,1,6,3,6,12,6,6,9,3,12,18,3,12,9,6,6,18,6,6,12,12,8,8,8,8,4,8,8,16,3,6,6,3,1,
6,3,6,3,6,3,6,6,6,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,31,36,16,12,
8,36,15,28,54,28,18,24,32,32,16,9,7,36,2,24,24,6,36,36,72,6,42,9,12,2,12,8,4,
16,16,16,3,7,3,18,9,6,12,18,9,9,6,12,18,9,6,6,12,12,8,8,8,8,8,4,8,16,9,6,3,1,
6,9,6,3,3,18,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,31,12,16,6,7,38,
18,48,16,66,16,16,16,1,2,3,6,12,12,12,12,12,12,30,24,12,12,21,12,18,24,2,12,
12,4,8,16,16,16,3,1,6,6,3,3,6,6,18,6,3,12,6,9,6,6,6,3,12,12,6,6,6,12,12,4,4,8,
8,4,8,8,16,3,6,6,1,6,6,3,6,3,3,3,6,6,6,3,6,6,4,8,4,4,8,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,19,24,16,8,12,3,6,4,6,42,36,28,30,24,16,16,16,3,12,1,6,2,12,12,24,
12,6,12,12,24,6,12,18,15,12,12,24,12,2,12,8,4,16,16,16,3,1,6,6,3,9,12,12,3,6,
12,6,6,6,6,6,12,6,6,3,3,6,6,6,12,12,8,8,4,4,8,4,8,16,6,3,6,1,6,6,3,6,3,3,3,6,
6,6,3,6,6,4,8,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,41,6,16,13,35,80,3,12,36,
4,36,80,15,14,16,6,3,3,6,8,24,4,12,72,24,24,6,24,6,18,6,24,8,4,8,16,16,16,1,2,
1,3,1,6,3,6,2,12,6,6,6,12,18,6,12,24,24,18,6,12,24,24,12,8,16,8,8,16,1,3,6,6,
6,3,4,12,6,6,6,12,12,4,4,8,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,17,30,16,32,24,7,1,
28,27,48,12,28,12,80,3,6,7,8,6,3,8,6,16,8,24,4,12,24,24,24,48,6,24,6,18,6,24,
8,8,4,16,16,16,1,1,2,3,1,6,6,3,2,12,6,6,6,12,24,6,6,12,12,24,12,6,12,6,24,24,
8,16,4,8,8,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,8,4,4,4,8,1,3,3,4,4,1,4,1,1,1,1,
1],[1,29,42,16,112,7,35,28,105,84,84,28,80,15,21,7,8,21,21,84,56,56,56,28,84,
84,84,42,42,42,84,56,4,4,4,16,16,16,1,1,7,7,7,7,7,7,21,21,21,28,14,14,42,42,
42,42,42,84,84,42,42,42,84,84,56,168,168,168,12,8,12,4,8,8,8,8,16,7,7,21,21,
21,28,28,84,84,84,42,42,42,84,56,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,4,8,
1,1,1,1,1],[1,33,30,16,32,24,15,1,28,27,48,12,12,36,32,48,3,6,7,6,3,8,6,16,8,
24,24,12,24,24,36,12,48,24,6,24,6,6,18,24,12,8,24,8,4,16,16,16,1,2,3,6,3,6,3,
2,3,3,6,12,6,12,24,6,6,6,9,12,24,6,6,6,6,6,6,24,12,12,24,12,12,12,24,24,24,24,
8,8,16,4,8,8,16,3,6,6,6,3,3,4,12,3,6,3,3,3,6,6,6,6,6,12,12,12,12,12,12,24,8,4,
4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,33,30,16,13,7,80,15,36,36,12,
36,32,48,1,14,16,6,9,3,6,8,24,24,24,12,36,24,48,12,24,6,24,6,18,6,24,8,12,24,
4,8,16,16,16,2,1,3,6,3,6,2,3,3,3,6,6,12,12,6,9,6,6,6,12,24,24,6,6,6,6,6,12,24,
24,12,12,12,12,24,24,24,24,8,4,8,16,8,8,16,3,6,6,6,3,3,4,12,6,3,3,3,3,6,6,6,6,
6,12,12,12,12,12,12,24,4,8,4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,21,
66,16,14,48,168,7,21,75,276,126,12,24,48,32,48,3,42,42,168,48,69,63,12,126,
168,24,168,504,12,24,12,48,96,24,48,24,48,24,6,12,12,24,48,8,12,16,16,16,7,14,
168,21,3,63,252,126,6,3,12,6,6,12,24,24,48,12,12,24,48,12,24,6,24,24,6,12,48,
12,48,12,12,24,24,16,8,24,12,24,16,21,42,3,6,12,6,12,24,6,12,24,24,48,12,6,6,
24,3,12,12,1,8,12,4,8,8,4,1,3,6,12,3,12,6,2,3,8,4,3,1,1,1,1],[1,45,42,16,6,48,
45,15,180,171,270,36,48,32,48,51,90,45,90,135,270,36,360,360,36,36,72,48,144,
18,36,72,12,8,16,16,16,6,15,45,180,3,135,270,9,12,18,36,72,18,36,72,36,72,18,
36,72,18,8,16,12,24,24,16,18,45,9,12,18,36,6,36,72,9,18,36,1,8,12,4,8,4,8,1,3,
18,3,18,2,3,4,8,3,1,1,1,1],[1,21,66,16,14,48,168,7,21,75,276,126,12,24,48,32,
48,3,42,42,168,48,69,63,12,126,168,24,168,504,12,24,12,48,96,24,48,24,48,24,6,
12,12,24,48,4,4,12,16,16,16,7,14,168,21,3,63,252,126,6,3,12,6,6,12,24,24,48,
12,12,24,48,12,24,6,24,24,6,12,48,12,48,12,12,24,24,8,8,8,12,12,12,24,16,21,
42,3,6,12,6,12,24,6,12,24,24,48,12,6,6,24,3,12,12,1,4,12,4,4,4,4,4,4,4,1,3,6,
12,3,12,6,2,3,4,4,4,3,1,1,1,1],[1,69,18,16,6,57,15,252,135,270,12,72,32,48,45,
90,63,24,90,135,270,360,360,12,36,72,144,72,18,36,72,8,12,16,16,16,6,3,15,45,
180,135,270,3,18,18,18,36,36,72,72,18,36,18,36,72,72,8,16,12,24,24,16,18,45,3,
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],[1,45,
18,16,2,24,15,37,48,15,60,66,24,48,24,32,48,15,6,6,24,6,6,9,15,6,6,8,32,24,48,
24,36,12,84,36,24,24,6,24,18,18,6,12,12,24,24,8,12,16,16,16,1,1,3,3,12,3,12,6,
3,6,3,6,12,6,6,18,18,6,12,18,6,24,18,24,18,6,12,6,6,24,6,3,6,6,24,9,6,12,8,16,
8,12,8,16,1,6,3,3,2,6,6,6,6,6,6,6,3,3,12,3,3,6,6,6,6,6,12,12,1,4,4,8,8,4,1,3,
3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,21,42,16,2,16,24,9,3,36,63,48,66,48,24,24,32,
48,9,6,14,3,6,6,15,30,12,6,32,48,24,24,12,36,48,36,24,36,24,6,6,12,18,6,36,36,
24,12,8,16,16,16,1,3,12,1,3,3,12,9,6,3,6,12,6,6,6,6,12,12,24,6,12,6,24,18,6,
12,6,24,9,6,12,3,12,6,24,6,12,12,12,8,16,12,8,8,16,1,3,6,3,6,6,6,2,6,6,6,6,6,
3,12,3,6,6,6,6,12,6,12,1,4,4,8,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,33,30,
16,24,19,5,84,27,48,60,36,60,32,48,6,16,8,20,6,15,30,6,60,20,24,12,12,12,12,
24,36,36,96,12,6,24,24,6,48,24,8,12,16,16,16,1,1,3,15,15,3,3,12,6,6,6,6,6,12,
24,6,18,24,6,6,18,6,12,12,12,6,6,3,24,6,6,18,9,6,24,24,8,16,4,8,8,8,16,1,3,6,
3,6,6,6,6,6,6,2,6,9,6,3,12,6,6,12,6,6,6,6,1,4,4,8,4,8,1,3,3,3,3,3,3,2,1,2,4,3,
1,1,1,1],[1,49,30,16,24,27,5,132,27,48,60,28,60,32,32,16,6,28,24,20,6,15,30,6,
60,20,24,12,12,36,12,72,60,36,96,12,6,12,24,6,48,24,8,12,16,16,16,1,3,3,15,15,
1,3,12,6,6,6,6,6,12,24,6,18,24,18,6,18,18,36,36,12,6,6,3,12,6,6,6,9,6,24,24,8,
8,16,16,4,8,8,16,1,3,6,9,6,6,6,6,6,6,6,18,3,6,3,12,6,6,12,6,6,6,6,1,4,8,4,8,4,
3,3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,37,42,16,2,48,24,15,9,48,27,84,66,40,24,
24,32,32,16,1,6,6,24,6,6,15,15,6,12,6,8,24,32,24,48,12,12,24,24,24,48,36,36,
24,72,24,6,30,6,6,12,12,12,24,24,8,12,16,16,16,1,3,3,3,12,3,12,6,4,3,3,6,12,6,
6,6,6,12,6,12,6,12,24,6,24,12,12,24,12,18,24,12,12,6,12,3,6,6,9,6,12,12,12,12,
8,16,8,16,8,4,8,16,1,6,3,3,6,6,6,6,6,6,6,6,6,12,6,3,3,6,6,6,6,6,6,12,12,1,4,4,
8,8,4,3,3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,21,58,16,2,48,24,9,3,36,87,48,66,24,
24,40,64,16,13,6,14,3,6,6,15,30,36,6,32,48,24,24,12,36,24,48,36,24,36,24,72,6,
6,12,6,6,12,60,24,12,8,16,16,16,1,3,12,3,3,3,12,3,10,3,6,12,6,6,6,6,12,12,36,
24,6,12,6,24,18,6,12,36,18,12,9,6,12,3,18,12,6,12,12,16,16,16,4,8,8,16,1,3,6,
3,6,6,6,6,6,12,6,6,6,6,9,6,3,6,6,6,12,6,6,12,1,4,8,4,8,4,3,3,1,3,3,3,3,2,2,1,
4,3,1,1,1,1],[1,69,18,16,43,19,212,45,12,180,12,72,48,16,48,1,38,16,60,3,45,
90,8,180,60,12,12,96,12,120,72,12,24,6,6,12,30,72,24,8,4,8,16,48,48,3,2,1,45,
45,3,18,6,2,6,6,12,12,30,6,6,24,36,72,72,24,6,12,9,3,6,36,36,24,24,4,4,8,8,8,
16,4,8,16,8,16,8,3,3,18,6,3,6,3,3,3,6,12,36,3,6,18,4,12,6,6,12,6,12,4,8,4,8,8,
16,4,8,16,8,8,6,3,1,3,6,6,6,6,6,1,8,4,3,1,1,1,1],[1,33,54,16,6,16,72,9,41,4,
57,180,126,48,12,24,16,48,48,15,3,18,18,72,1,27,45,4,18,24,8,96,8,144,36,24,
120,12,24,48,12,24,12,24,24,54,12,6,6,12,12,24,24,8,4,4,4,16,48,48,1,3,1,9,1,
9,36,36,6,9,3,3,6,2,6,54,6,12,6,12,12,24,54,12,24,6,24,12,24,12,6,6,12,18,6,
18,9,6,6,3,12,12,24,24,4,4,8,12,4,4,4,8,4,8,12,4,8,16,8,3,9,3,6,3,6,6,6,3,6,3,
3,6,3,18,6,12,9,3,6,3,6,4,12,6,6,6,6,6,6,6,4,4,4,4,8,12,4,12,4,8,4,8,8,8,3,3,
3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,21,66,16,12,32,144,3,7,4,57,180,72,12,
24,48,16,48,48,3,12,12,48,1,24,18,9,8,54,72,16,36,8,180,12,12,48,96,12,48,24,
12,24,24,48,6,24,6,6,12,24,48,24,8,8,4,16,48,48,1,3,36,2,9,36,9,6,6,3,12,2,6,
6,12,12,24,24,24,48,6,6,12,24,24,48,24,6,3,12,24,12,24,6,9,6,12,24,24,8,16,8,
4,4,8,8,16,4,8,16,8,3,3,6,6,12,6,3,3,6,3,12,3,12,24,12,3,6,6,4,12,6,6,12,6,12,
8,4,4,8,4,8,16,8,16,8,8,3,6,1,3,6,6,6,6,6,1,8,4,3,1,1,1,1],[1,57,30,16,6,16,
25,13,124,117,12,198,24,36,24,48,16,48,1,21,42,13,8,18,3,45,90,12,8,96,144,24,
12,24,36,24,48,12,48,24,12,24,72,12,6,18,12,6,12,36,24,24,8,4,4,4,16,48,48,1,
3,9,36,1,1,9,36,3,3,6,3,6,6,2,18,6,6,12,12,36,12,6,18,12,6,6,24,12,36,12,24,
24,24,6,12,3,6,9,6,12,6,12,6,12,6,12,24,24,4,4,4,12,4,4,8,8,12,4,4,8,8,16,8,3,
3,3,3,6,6,6,3,3,3,6,6,6,12,6,12,3,6,6,3,6,3,6,3,6,4,12,6,6,6,6,6,6,6,4,4,4,4,
8,4,8,4,12,4,12,8,8,8,3,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,45,26,16,6,
16,45,15,180,147,270,12,16,80,47,90,45,90,135,270,12,360,360,12,12,24,16,48,6,
12,24,12,8,16,16,16,6,15,45,180,1,135,270,3,4,6,12,24,6,12,24,12,24,6,12,24,6,
20,24,24,16,18,45,3,4,6,12,2,12,24,3,6,12,1,4,8,12,4,1,1,6,1,6,3,2,4,1,1,1,1,
1],[1,29,42,16,14,168,7,49,63,252,126,28,80,17,42,42,168,48,63,63,126,168,168,
504,28,84,42,8,12,16,16,16,1,7,14,168,21,63,252,126,7,42,42,42,42,24,20,24,16,
21,42,7,14,42,21,1,4,8,12,4,1,7,7,3,2,4,1,1,1,1,1],[1,53,18,16,6,49,15,204,
135,270,4,24,80,45,90,51,8,90,135,270,360,360,4,12,24,48,24,6,12,24,8,12,16,
16,16,6,1,15,45,180,135,270,1,6,6,6,12,12,24,24,6,12,6,12,24,24,12,8,24,24,16,
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],[1,33,54,
16,2,48,24,9,37,12,69,132,114,48,12,24,16,48,48,15,9,6,6,24,3,27,33,12,6,8,24,
80,24,48,36,48,120,36,24,48,12,24,12,24,24,54,24,6,18,36,12,24,24,24,8,12,16,
48,48,1,1,3,9,3,3,12,12,6,9,9,9,6,6,18,54,18,24,6,36,36,24,54,12,24,6,24,12,
24,36,6,6,12,6,6,6,9,6,6,3,12,12,72,72,4,16,20,8,8,12,8,16,1,9,9,6,9,6,2,6,3,
6,3,3,6,3,6,6,12,3,3,6,3,6,12,36,18,6,6,6,6,6,6,1,4,12,8,12,8,3,1,3,3,3,3,3,6,
6,6,6,1,2,1,1,4,2,3,1,1,1,2,2,1],[1,33,54,16,2,112,9,21,36,93,84,90,48,12,24,
16,48,48,3,15,14,3,6,21,21,30,60,48,24,32,48,24,84,72,60,24,24,12,12,24,72,24,
6,18,30,60,36,24,24,12,8,16,48,48,1,3,12,4,3,6,3,12,6,6,3,6,12,6,6,6,12,18,18,
36,36,36,12,6,30,12,6,6,24,48,36,48,24,6,12,3,6,9,6,6,12,6,6,12,24,24,48,48,
12,12,8,16,12,8,8,16,1,3,6,6,6,12,6,3,3,3,6,6,6,2,6,12,3,6,3,3,6,3,6,12,12,24,
6,12,6,6,6,6,6,6,1,4,12,8,12,8,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,
1],[1,69,18,16,31,23,204,21,36,132,12,72,48,16,48,3,34,32,32,9,21,42,24,108,
20,12,12,120,12,120,96,12,24,18,6,24,30,96,24,24,8,12,16,48,48,1,4,3,21,15,9,
24,6,6,6,18,36,24,30,6,6,24,48,96,96,24,6,12,9,3,6,24,24,72,72,12,4,8,8,16,4,
8,8,8,16,1,9,24,6,3,6,3,3,3,6,8,24,3,6,12,12,36,18,6,12,6,12,1,4,4,8,4,8,8,8,
4,3,3,3,6,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,25,30,16,6,16,9,13,4,45,12,54,
40,36,24,16,16,16,1,3,18,1,3,27,4,18,30,42,18,24,12,12,12,12,24,6,18,12,18,12,
12,24,12,48,20,4,4,4,16,16,16,3,1,12,1,3,3,12,3,3,4,12,3,3,9,6,12,6,12,6,6,6,
6,12,3,3,3,9,6,6,9,3,3,6,6,12,6,6,6,12,3,12,9,9,6,3,6,6,6,6,6,8,24,24,24,4,4,
4,4,4,4,4,4,4,8,16,3,3,3,6,3,3,1,3,3,3,3,3,3,6,3,3,3,3,6,3,3,3,6,3,3,3,3,3,3,
3,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,3,3,3,3,3,1,3,3,
3,3,3,3,1,4,4,4,3,1,1,1,1],[1,51,24,16,8,12,19,6,100,6,42,84,12,30,24,48,16,
48,3,12,13,8,12,6,12,2,12,48,12,12,12,24,24,6,60,24,36,24,24,6,6,15,12,24,24,
2,12,8,4,16,48,48,1,6,3,6,6,3,6,6,9,6,6,24,15,12,12,24,24,24,6,12,6,12,3,3,6,
6,12,12,8,8,4,4,8,8,4,8,16,8,6,6,6,3,3,6,3,1,3,3,6,6,6,6,3,6,6,4,4,8,4,8,8,8,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,39,36,16,6,35,38,30,72,96,24,42,16,48,48,15,2,
3,18,18,12,48,12,12,24,72,36,12,12,30,24,12,24,36,9,18,24,2,12,4,8,16,48,48,1,
6,3,6,6,3,6,36,36,9,3,6,6,24,12,6,24,9,3,6,6,12,6,6,6,12,12,4,12,8,8,12,8,16,
8,6,6,3,3,6,6,3,1,3,3,6,6,6,6,3,6,6,4,12,8,12,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,15,36,16,12,8,36,7,28,54,36,18,24,32,48,9,7,8,36,2,24,24,6,36,72,6,18,9,12,
12,2,24,12,8,4,16,16,16,1,3,6,3,9,9,6,12,18,9,6,12,18,18,9,6,6,12,12,8,8,8,8,
4,8,8,16,9,9,6,1,9,18,6,3,3,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,
51,16,47,98,78,32,48,15,2,45,132,30,27,18,2,36,12,4,8,16,16,16,1,3,9,9,27,18,
27,27,18,6,6,12,12,8,8,8,12,8,8,16,9,9,6,1,27,3,6,3,3,6,6,4,4,8,4,8,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,39,12,16,16,5,66,6,12,24,12,42,24,32,48,6,15,3,6,4,8,36,
42,24,24,48,6,6,3,12,30,6,4,8,12,4,4,16,16,16,1,1,2,1,3,12,3,6,6,12,18,6,3,6,
12,3,6,18,12,6,6,12,12,8,8,4,8,12,4,8,16,3,6,3,6,3,3,6,3,6,3,6,3,6,6,4,4,4,4,
4,4,4,4,8,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,51,16,39,90,78,32,48,15,6,21,132,42,
27,30,6,12,12,4,4,16,16,16,1,1,3,3,27,30,27,9,18,18,6,12,12,8,8,12,12,12,16,3,
9,6,3,9,3,6,9,3,6,6,4,4,4,4,4,4,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,36,16,
4,24,12,7,28,54,36,18,24,32,48,9,7,8,12,6,24,24,18,36,72,18,18,9,12,4,6,8,12,
4,4,16,16,16,1,1,2,1,3,9,18,12,18,3,6,12,6,18,9,18,6,12,12,8,8,12,4,8,4,8,16,
3,9,6,3,3,6,6,9,3,3,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,
48,16,4,40,36,1,18,30,30,48,32,48,3,3,12,6,12,6,24,72,48,18,12,6,18,9,12,12,
12,6,12,4,4,16,16,16,1,1,3,3,9,6,6,12,12,12,6,6,12,12,9,9,6,12,6,12,12,8,8,12,
12,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,4,4,4,4,4,4,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,51,16,39,90,78,32,48,15,6,21,132,42,27,30,6,12,12,20,16,16,16,1,1,3,3,
27,30,27,9,18,18,6,12,12,24,12,16,3,9,6,3,9,3,6,9,3,6,6,1,4,4,4,1,3,3,3,3,3,3,
2,3,4,3,1,1,1,1],[1,51,16,39,90,78,32,48,15,6,21,132,42,27,30,6,12,12,20,16,
16,16,1,1,3,3,27,30,27,9,18,18,6,12,12,24,12,16,3,9,6,3,9,3,6,9,3,6,6,1,4,4,4,
1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,48,16,4,40,36,1,18,30,30,48,32,48,3,3,12,
6,12,6,24,72,48,18,12,6,18,9,12,12,12,6,12,4,16,16,16,16,1,1,3,3,9,6,6,12,12,
12,6,6,12,12,9,9,6,12,6,12,12,8,16,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,1,4,4,4,1,
3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,48,16,4,40,36,1,18,30,30,48,32,48,3,3,12,6,
12,6,24,72,48,18,12,6,18,9,12,12,12,6,12,4,16,16,16,16,1,1,3,3,9,6,6,12,12,12,
6,6,12,12,9,9,6,12,6,12,12,8,16,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,1,4,4,4,1,3,3,
3,3,3,3,2,3,4,3,1,1,1,1],[1,17,6,16,1,35,3,12,12,16,12,24,80,15,3,3,8,4,12,6,
6,6,12,24,24,8,8,4,16,16,16,1,1,6,1,6,2,2,6,6,6,6,6,3,6,3,6,12,8,8,8,16,1,3,3,
6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,17,6,16,7,1,28,15,12,16,12,24,80,3,7,8,3,
8,4,12,6,6,6,36,24,8,8,4,16,16,16,1,1,1,6,6,2,2,6,6,6,6,6,3,3,6,6,4,8,8,8,8,
16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,15,36,16,4,24,12,7,12,54,36,18,
24,32,48,9,3,12,6,24,24,18,12,36,24,18,30,9,12,6,12,4,16,16,16,1,3,1,18,9,18,
12,6,3,15,6,12,6,9,18,6,12,12,8,12,16,3,6,1,3,2,9,6,9,3,6,3,6,6,4,1,4,4,1,3,3,
3,3,3,3,1,4,2,2,3,1,1,1,1],[1,39,12,16,5,66,6,12,24,12,42,24,32,48,6,15,3,6,
36,12,42,24,24,6,6,3,12,12,30,6,12,4,16,16,16,1,3,1,6,12,3,6,3,6,12,18,6,3,6,
12,3,18,12,6,6,12,12,8,12,16,3,6,1,3,2,3,6,3,6,3,6,6,3,6,6,4,1,4,4,1,3,3,3,3,
3,3,1,4,2,2,3,1,1,1,1],[1,9,30,16,2,24,3,3,21,18,24,12,24,32,48,6,9,6,12,12,
12,24,24,6,6,6,6,6,18,18,12,48,12,24,4,16,16,16,1,12,3,12,3,6,12,3,6,6,12,6,3,
12,12,12,6,12,12,12,12,12,8,12,16,6,3,3,6,3,4,12,6,6,6,12,4,4,4,1,3,3,6,6,1,4,
3,1,1,1,1],[1,45,16,24,54,27,24,72,72,27,9,27,5,8,72,27,5,24,36,9,4,3,18,9,4,
8,1,3,3,4,3,1,1],[1,21,42,14,168,7,21,63,252,126,64,3,42,42,168,48,63,63,126,
168,168,504,7,14,168,21,63,252,126,21,42,24,48,1,1],[1,35,16,35,30,30,16,80,
15,5,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,35,16,35,30,30,16,80,5,15,
60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,15,68,10,16,40,60,5,120,30,40,
6,10,50,50,15,60,15,40,60,30,30,15,30,6,18,18,5,10,10,30,30,50,10,10,5,15,30,
15,30,6,18,18,12,12,10,15,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,
1,1,1],[1,15,68,10,1,40,80,15,90,15,30,40,6,10,50,50,5,10,15,15,15,30,10,60,
30,30,30,15,30,6,18,18,5,10,10,30,30,50,10,10,5,15,15,15,15,15,15,6,18,18,12,
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],[1,21,
28,57,7,7,21,28,21,8,21,28,7,7,14,14,7,7,21,28,8,16,8,7,7,21,7,7,8,7,7,1,1],[
1,65,78,18,48,216,49,61,180,201,372,426,76,60,48,17,45,54,126,216,45,90,48,81,
201,270,12,138,184,24,232,360,360,600,76,60,180,60,48,96,120,120,72,120,120,
240,48,30,72,90,30,30,30,30,36,24,48,240,24,24,1,6,21,45,180,14,168,27,3,69,
276,135,270,150,60,13,18,15,60,15,9,12,60,6,6,6,18,36,36,30,30,78,30,30,30,60,
36,60,72,60,240,90,30,60,30,24,48,18,60,240,60,60,240,24,48,36,72,60,240,18,
18,24,24,30,60,54,12,48,66,18,12,36,48,30,18,18,36,30,60,36,24,24,72,72,72,72,
18,45,23,42,60,13,15,15,15,60,60,120,9,18,15,12,60,22,30,30,36,36,60,10,6,6,
18,18,18,18,12,24,6,18,18,18,54,18,30,30,30,30,60,12,24,24,48,36,6,18,27,6,18,
24,9,18,36,30,18,36,60,30,60,12,12,15,12,12,36,36,12,36,18,18,18,18,18,18,36,
36,18,18,18,18,36,24,12,12,12,24,24,12,12,12,12,24,12,24,36,36,36,36,36,36,36,
36,36,36,36,36,1,1,2,6,18,18,18,9,9,30,18,30,30,30,6,12,3,3,7,3,12,6,6,18,6,6,
15,9,9,18,18,9,9,9,6,6,6,6,6,6,12,15,12,12,12,12,12,12,12,12,18,18,6,6,12,18,
18,18,36,18,18,18,36,36,36,36,36,36,36,1,3,5,3,6,18,3,3,6,3,3,9,9,9,6,6,6,12,
6,6,6,18,1,1,1,3,3,3,3,1],[1,81,62,18,16,168,61,33,300,249,252,474,60,108,16,
3,59,42,142,168,63,24,102,48,63,201,330,12,126,168,168,424,456,504,60,60,60,
132,16,168,120,168,168,120,240,48,30,30,30,66,54,30,36,24,120,240,24,24,6,3,
21,51,204,1,14,168,21,63,252,141,294,126,9,60,9,4,15,60,15,30,60,6,6,6,18,36,
36,66,30,30,30,30,60,36,60,60,24,240,30,30,60,30,54,60,240,42,60,60,240,36,24,
84,120,120,240,30,12,24,18,36,18,30,12,60,24,18,42,60,30,30,18,84,18,36,72,72,
72,72,72,72,18,47,21,42,9,60,15,15,15,60,60,120,9,4,15,30,60,6,18,18,18,12,60,
60,36,6,10,6,10,30,30,30,30,12,24,18,30,42,60,18,18,18,18,36,30,24,72,6,18,15,
30,9,6,30,12,60,18,30,60,36,18,36,36,15,12,12,36,36,12,36,18,18,18,18,36,36,
18,18,18,18,18,18,36,24,12,12,12,24,12,24,12,12,12,24,12,24,36,36,36,36,36,36,
36,36,36,36,36,36,1,1,2,6,3,6,30,30,30,15,12,18,30,18,18,18,3,3,1,6,9,12,6,18,
6,6,9,15,9,9,18,18,9,9,6,6,6,6,6,6,12,15,12,12,12,12,12,12,12,12,18,18,6,6,12,
18,18,18,18,36,18,18,36,36,36,36,36,36,36,1,3,3,5,6,18,3,3,6,3,3,9,9,9,6,6,6,
6,12,6,6,18,1,1,1,3,3,3,3,1],[1,65,78,6,144,72,49,49,204,237,228,390,76,60,48,
15,63,18,90,72,51,8,90,39,165,270,92,18,24,72,128,360,408,144,52,132,180,156,
48,96,96,120,72,48,96,72,192,144,18,72,78,18,66,30,54,132,72,48,24,192,24,72,
1,6,1,15,51,180,7,13,9,9,36,135,270,36,7,48,13,18,27,12,27,36,9,27,12,28,6,36,
14,18,6,42,6,12,24,18,36,36,12,12,12,24,54,18,78,54,66,30,108,132,36,72,36,72,
192,78,18,36,18,42,24,48,18,54,48,144,12,36,36,192,108,72,48,108,72,48,24,24,
144,18,12,36,72,18,36,18,12,24,18,18,36,12,72,18,6,24,18,18,24,18,36,36,24,24,
24,56,216,216,168,72,72,18,45,3,7,36,13,9,9,27,36,48,72,27,12,27,18,9,28,12,6,
36,6,18,18,18,36,12,36,6,6,6,12,6,6,36,72,6,6,6,24,18,18,18,12,18,18,18,18,36,
6,8,12,12,24,36,24,6,18,12,12,9,6,18,3,6,9,9,18,36,12,18,6,36,18,36,12,12,9,
36,12,84,108,36,84,12,36,54,18,42,42,84,18,18,6,6,12,6,6,18,18,12,36,12,12,36,
6,18,6,18,18,18,12,36,12,56,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,36,
36,12,12,24,36,36,24,24,36,36,36,36,36,36,24,12,12,24,12,24,12,24,24,36,12,36,
12,1,2,6,3,18,6,3,9,3,4,18,18,18,18,6,9,3,7,21,3,18,3,4,6,18,6,9,3,3,9,18,18,
6,9,6,6,3,9,9,3,6,6,6,3,3,6,6,6,6,6,6,6,6,6,6,9,4,12,12,12,12,12,4,12,12,12,
12,12,12,12,12,12,12,12,12,12,28,18,18,6,6,6,6,6,6,18,6,18,6,12,18,36,18,12,
24,18,18,36,36,36,36,36,36,36,12,12,24,12,12,12,1,3,1,3,1,3,6,6,6,6,6,18,2,6,
6,3,3,3,3,3,3,6,6,6,3,3,3,3,9,9,3,6,6,6,6,6,6,6,6,6,6,18,6,12,12,1,3,3,3,3,3,
3,6,6,1],[1,65,78,14,112,168,25,49,156,213,324,318,76,60,48,17,33,42,66,168,
21,24,18,48,81,93,90,84,126,168,56,216,96,176,504,76,108,180,156,48,96,120,96,
48,72,72,96,192,144,18,24,90,30,78,18,54,108,72,48,72,192,24,72,1,3,7,13,36,7,
14,168,27,7,63,252,9,36,126,13,36,13,6,27,12,27,36,9,21,12,28,18,48,18,6,14,
42,6,18,36,12,24,12,36,12,12,24,78,18,78,54,54,18,108,108,36,24,36,72,144,90,
18,36,30,42,24,48,12,78,36,144,18,48,48,192,108,72,48,84,24,36,72,72,192,18,
18,12,24,24,6,12,42,12,24,48,42,18,12,36,24,48,18,36,18,18,18,36,12,24,24,24,
24,56,216,168,216,72,72,3,21,42,13,36,13,9,9,27,36,36,72,27,12,21,6,9,28,12,
18,48,14,6,6,18,12,36,36,12,6,6,6,18,18,18,18,12,24,24,6,18,18,18,36,6,42,6,
12,6,12,18,12,12,24,24,48,24,12,6,18,12,21,6,6,24,9,18,3,9,6,18,12,36,6,18,36,
12,12,12,9,36,12,108,84,84,36,12,36,18,42,54,42,84,6,6,18,18,36,36,18,18,6,6,
12,12,12,12,6,6,18,18,18,18,36,12,12,56,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,36,36,36,36,12,12,24,24,24,24,12,12,12,24,36,36,36,36,36,36,12,24,
24,36,12,36,12,1,2,6,3,6,18,18,18,7,3,9,18,6,6,12,7,9,3,21,7,3,12,6,6,18,6,9,
9,9,3,6,6,3,6,18,18,9,9,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,4,12,12,12,12,12,
12,12,12,4,12,12,12,12,12,12,12,12,12,12,28,6,18,6,18,6,6,6,6,18,18,6,6,18,18,
12,12,36,24,18,18,36,36,36,12,12,36,36,36,36,24,12,12,12,1,1,3,3,1,6,6,6,3,6,
6,18,2,6,3,3,6,3,3,3,3,6,6,6,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,18,6,12,12,1,3,
3,3,3,3,3,6,6,1],[1,57,70,14,48,184,25,21,156,161,284,270,60,52,48,3,21,46,66,
168,21,24,18,48,67,81,90,20,130,168,16,168,96,144,520,36,44,52,116,32,96,72,
96,40,72,88,96,192,32,22,32,22,26,62,22,18,60,40,32,72,160,24,8,24,16,3,7,9,
36,1,14,168,21,2,65,252,9,36,126,9,36,8,13,4,9,36,11,2,8,18,40,6,6,2,6,2,18,
44,2,4,8,36,8,54,22,4,22,18,22,36,44,44,32,36,160,18,22,36,18,24,32,10,54,44,
160,18,48,40,144,36,16,32,8,32,36,72,72,144,4,26,4,16,32,6,4,4,8,8,32,2,22,12,
36,16,32,4,18,44,18,18,22,36,8,12,16,24,72,72,24,72,72,24,8,8,8,16,16,16,16,3,
21,42,9,36,11,9,9,40,36,72,9,2,8,9,8,18,36,4,18,36,36,4,6,6,6,18,18,22,18,8,
16,22,18,18,36,6,2,4,4,4,18,12,4,16,16,32,8,2,2,6,18,4,4,16,9,18,2,11,2,18,8,
36,2,18,36,4,8,8,9,12,4,12,36,12,36,12,36,18,6,18,2,22,18,36,36,18,22,2,4,4,4,
4,18,18,2,2,2,18,18,36,4,4,4,4,8,8,4,12,4,4,8,8,4,4,8,36,36,36,36,4,4,4,8,4,4,
8,36,36,36,36,36,44,8,36,36,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,1,2,6,3,18,18,18,
2,9,2,18,4,8,1,3,3,2,2,8,4,6,18,6,9,11,9,2,2,2,18,18,9,9,1,1,3,2,2,2,2,4,2,2,
9,4,4,4,4,4,4,4,4,4,4,4,4,2,18,18,2,4,2,2,18,18,2,2,18,18,4,4,36,18,18,36,2,4,
4,4,4,4,4,36,36,4,4,4,4,4,4,4,4,4,4,36,36,36,36,4,4,4,4,4,4,4,4,4,4,2,3,1,1,2,
6,18,2,1,1,1,1,2,9,9,1,1,2,2,2,4,2,2,2,2,2,18,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,73,54,6,48,72,53,49,244,153,180,358,44,100,16,15,45,
18,90,72,57,16,94,27,153,274,12,18,24,24,96,376,360,144,44,36,108,60,160,72,
72,104,128,88,160,32,22,88,54,30,30,42,18,36,8,16,64,160,8,24,24,16,1,6,2,15,
45,180,9,3,9,36,137,270,36,2,40,9,22,9,36,11,9,4,16,36,2,6,6,2,6,2,4,18,36,44,
8,8,30,22,54,18,18,18,36,36,36,72,36,8,144,54,22,44,30,18,12,40,160,26,36,36,
144,36,72,64,64,64,160,30,22,44,18,4,8,16,18,2,4,4,8,16,18,14,28,4,12,4,24,18,
36,36,48,48,72,72,72,24,24,72,8,8,8,16,16,16,16,18,45,3,2,40,9,9,9,9,36,36,72,
9,18,11,16,36,6,18,18,2,4,4,4,36,6,10,4,4,12,24,18,18,18,4,22,18,18,18,36,14,
16,36,48,6,18,2,2,9,2,18,8,6,12,11,18,2,4,36,18,36,24,9,12,12,4,36,36,12,12,
36,6,18,18,22,22,2,2,4,4,18,18,4,36,4,36,18,2,18,18,18,2,2,36,4,4,4,8,4,8,12,
4,8,4,4,4,4,8,36,36,4,4,8,36,36,36,36,36,44,36,36,8,4,4,4,8,8,4,36,36,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,16,1,2,6,3,9,6,8,18,2,18,18,18,3,3,1,6,8,2,6,18,6,9,9,18,
18,2,11,2,2,1,9,9,3,1,2,2,2,2,2,2,4,9,4,4,4,4,4,4,4,4,4,4,4,4,18,18,2,2,2,4,
18,2,18,2,2,4,18,36,18,4,18,18,36,2,4,4,4,4,4,4,36,36,4,4,4,4,4,4,4,4,36,36,
36,36,4,4,4,4,4,4,4,4,4,4,4,4,2,3,1,1,2,6,18,2,1,1,1,1,2,1,9,9,1,2,2,2,4,2,2,
2,2,2,18,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,41,54,2,80,
40,17,9,100,77,108,106,60,68,48,1,11,10,14,24,15,16,10,17,21,34,36,10,8,32,32,
48,48,64,12,36,36,52,16,64,32,64,40,40,48,48,80,80,18,32,42,22,26,30,18,28,56,
32,48,112,8,8,8,16,2,1,3,12,2,3,4,5,12,5,12,12,2,24,4,8,2,8,5,20,9,4,8,4,12,
24,2,2,2,2,2,2,4,2,12,8,16,4,4,24,14,10,8,10,6,14,12,20,12,32,4,32,32,2,10,12,
6,10,16,16,10,16,8,48,10,16,16,16,16,24,16,24,32,16,32,32,32,4,4,16,8,8,10,12,
16,8,24,18,6,20,20,16,8,14,12,8,16,4,16,12,16,20,8,8,16,8,8,8,16,16,24,24,24,
24,8,8,8,16,16,16,16,1,1,2,8,3,1,1,8,4,8,2,4,4,8,3,4,4,8,4,4,4,2,8,4,4,4,4,4,
4,8,4,4,4,8,6,2,8,8,4,4,6,8,8,8,8,2,2,2,2,4,6,4,4,4,4,2,8,4,4,8,6,6,12,8,4,12,
4,4,4,5,4,4,4,4,12,8,12,6,6,2,4,2,2,6,4,4,4,6,4,12,4,8,8,4,2,2,2,2,2,2,2,4,8,
12,4,8,8,8,8,4,4,8,16,8,12,16,8,8,4,8,16,8,4,4,8,4,4,8,8,4,8,8,4,4,8,16,12,4,
4,8,8,4,8,16,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,4,4,2,2,1,1,1,2,4,2,2,2,6,2,4,4,4,2,2,4,1,8,4,8,4,8,4,4,4,4,8,8,2,
2,2,4,2,2,2,4,6,4,2,2,2,2,2,4,4,4,4,8,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,8,
2,2,2,2,2,2,2,2,1,1,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
33,78,14,80,184,13,21,36,125,300,174,28,92,80,3,11,46,50,168,3,6,48,71,69,30,
36,130,168,32,168,32,48,520,12,44,44,36,64,160,24,96,72,40,64,64,96,10,48,14,
22,10,34,14,28,72,64,48,64,8,8,7,3,12,2,14,168,21,4,65,252,3,12,126,12,12,2,8,
3,12,5,4,16,4,12,16,2,2,2,2,4,8,8,4,4,16,6,10,8,14,10,18,20,20,20,48,12,24,64,
6,10,12,6,10,40,64,18,4,12,64,32,16,48,16,48,64,24,48,12,48,8,6,16,32,32,10,4,
4,16,16,64,2,6,28,20,8,64,4,18,6,20,12,16,20,24,32,40,24,8,8,16,16,24,24,1,21,
42,12,5,3,3,16,12,24,2,4,4,12,3,4,16,12,8,4,12,12,4,2,4,2,6,10,6,6,16,8,32,6,
6,10,2,4,4,4,4,20,8,32,32,64,16,2,2,4,8,8,32,6,4,8,6,4,12,2,6,12,4,16,16,12,3,
4,4,4,12,8,6,2,4,2,4,4,2,8,4,4,8,4,2,2,2,2,4,4,4,8,4,8,8,4,12,8,24,12,4,4,16,
4,32,8,12,8,4,4,8,4,4,8,8,4,8,4,4,8,8,8,4,8,16,4,4,1,2,6,6,6,4,2,6,8,16,1,1,1,
4,16,3,8,3,2,2,2,2,4,1,1,1,1,2,2,2,2,2,2,2,4,8,2,6,6,6,3,4,8,4,4,4,4,4,4,4,8,
8,4,4,2,2,2,2,2,4,2,2,2,4,4,8,4,4,8,4,4,8,8,4,4,4,1,2,2,2,2,1,3,3,1,2,2,1,1,2,
2,2,2,2,4,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,65,46,6,48,24,53,21,244,165,76,310,
60,60,80,1,49,6,90,24,57,16,94,13,141,274,28,6,8,16,32,376,360,48,20,52,44,84,
32,32,80,24,104,80,40,96,128,10,34,10,30,30,14,36,72,64,64,64,8,8,6,2,15,45,
180,2,3,2,3,12,137,270,12,2,16,4,6,8,3,12,5,2,16,4,16,12,2,2,2,2,4,8,8,4,4,16,
18,10,4,10,18,6,20,28,12,12,56,48,6,10,20,10,10,8,16,24,16,64,26,12,20,48,32,
48,16,16,40,64,64,64,24,24,48,6,12,12,16,16,18,14,36,4,56,6,14,28,4,12,16,24,
14,12,8,48,24,8,48,8,8,16,16,24,24,18,45,1,2,16,3,3,3,12,12,24,6,8,2,5,4,4,16,
12,2,10,6,14,28,4,4,12,2,4,24,48,4,4,12,24,4,8,6,6,6,6,12,14,16,4,4,8,48,2,2,
4,6,8,6,12,6,12,24,6,2,4,12,6,12,4,12,24,3,4,4,4,8,12,6,2,4,2,2,4,4,4,4,8,8,4,
2,2,2,2,4,8,8,12,4,16,24,8,4,8,4,4,4,12,12,4,8,4,4,4,8,32,4,4,8,8,8,8,16,4,4,
4,8,8,4,8,8,4,4,1,2,12,6,8,6,2,6,6,6,2,1,1,2,12,1,3,6,8,3,2,4,2,2,2,1,1,2,8,1,
1,6,2,2,2,2,2,6,6,2,2,4,3,4,4,8,4,4,4,4,4,4,8,4,8,4,2,2,2,2,2,2,4,2,2,4,4,8,4,
4,8,4,4,8,4,4,8,2,2,1,2,2,2,2,3,1,3,1,2,2,1,1,2,2,2,2,2,2,4,2,2,2,2,4,1,1,1,1,
1,1,1,1],[1,57,38,6,16,24,49,21,204,169,60,310,44,52,80,1,51,6,90,24,51,8,90,
9,145,270,12,6,8,32,360,376,48,20,28,28,60,16,48,40,48,48,24,64,48,6,16,34,14,
26,18,10,20,88,64,24,96,8,16,6,1,15,47,180,1,3,3,12,135,270,12,3,16,4,4,5,12,
5,12,3,16,6,20,2,4,8,8,8,4,8,8,22,6,10,14,10,20,20,12,12,24,64,10,6,12,6,22,
16,48,12,12,12,64,20,24,24,24,24,48,4,4,20,24,24,10,12,12,16,16,18,6,28,4,24,
16,6,6,16,10,6,16,6,20,24,24,24,24,24,8,8,8,18,45,1,3,12,3,3,5,12,16,24,5,4,3,
6,12,2,6,6,6,12,4,12,2,2,2,4,2,2,12,24,2,6,16,6,6,6,6,12,6,8,24,4,6,8,8,3,6,2,
3,10,12,4,10,2,12,6,12,12,12,3,4,12,6,2,2,4,2,2,4,4,2,4,12,16,24,12,4,4,4,4,4,
20,12,8,8,4,24,8,4,4,8,8,16,4,4,8,4,8,4,4,4,4,4,4,8,1,1,6,2,3,4,6,6,6,6,1,1,6,
1,3,3,4,2,3,1,1,2,1,2,2,1,1,6,4,6,4,6,8,6,2,2,2,3,4,4,4,4,2,2,2,2,2,2,2,2,2,2,
4,4,2,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,3,3,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,41,54,14,16,168,13,49,36,97,276,190,60,68,48,17,7,42,50,
168,3,6,48,69,73,30,4,126,168,8,184,32,48,504,44,20,116,20,16,32,40,32,16,24,
32,64,16,6,8,58,10,18,30,10,28,56,48,48,96,8,16,1,7,3,12,14,168,23,1,63,252,3,
12,126,20,9,2,4,8,5,12,3,3,12,12,16,2,8,8,4,8,4,8,8,10,6,54,10,10,6,20,12,12,
8,12,48,58,6,12,10,8,16,4,12,48,16,16,64,8,16,12,8,12,64,6,6,16,8,24,2,4,42,
12,16,42,10,20,12,16,16,18,6,12,4,20,4,8,8,24,8,8,24,24,24,8,8,8,1,21,42,12,9,
3,3,5,12,12,24,3,2,3,4,16,14,2,2,12,12,4,2,2,6,6,6,6,4,8,2,6,6,2,42,2,2,4,4,8,
8,16,8,4,21,6,2,8,6,1,2,8,6,8,12,2,10,12,4,4,4,12,3,4,12,6,2,2,2,2,4,4,2,4,4,
4,8,4,4,20,24,12,4,16,4,4,24,12,12,8,8,8,8,4,4,16,8,8,4,4,4,4,4,4,4,4,4,8,1,6,
6,6,7,1,6,2,2,4,1,1,2,7,1,4,3,2,3,1,2,1,2,1,2,2,6,1,1,4,2,4,2,6,8,6,6,3,4,4,4,
4,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,1,1,3,3,2,2,2,1,1,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,49,30,2,16,24,17,37,100,49,84,122,
60,76,80,15,7,6,14,24,15,16,10,15,25,34,4,6,8,8,48,48,48,48,28,12,60,36,80,16,
16,40,32,32,48,32,14,24,38,26,34,26,14,28,72,80,48,144,8,8,1,2,1,3,12,5,1,3,
12,5,12,12,2,32,5,6,4,8,7,20,7,3,20,12,24,2,2,2,10,12,4,8,12,8,8,8,8,18,6,30,
6,6,2,12,12,4,8,4,8,16,30,6,12,18,4,12,8,32,10,8,8,32,12,8,16,32,32,48,18,4,
16,16,16,10,20,6,20,8,16,10,10,28,12,24,16,4,14,12,8,8,8,24,8,16,8,8,16,8,24,
24,24,24,1,1,2,8,5,1,1,3,4,4,8,3,2,3,8,8,2,2,2,2,4,4,4,4,6,4,4,4,8,2,6,2,4,6,
4,6,8,4,2,2,3,10,2,8,4,4,3,2,8,4,8,8,6,10,12,12,4,8,8,4,5,4,4,12,12,6,6,6,6,2,
2,4,4,2,2,4,4,4,4,2,2,4,2,2,4,8,8,4,4,8,8,12,20,4,8,12,8,4,8,4,8,8,8,20,4,4,4,
8,8,4,12,8,8,4,4,16,8,8,12,4,4,8,4,4,4,8,8,4,4,1,1,2,2,2,1,1,1,2,2,1,2,2,2,2,
1,2,2,3,2,2,1,2,1,2,3,1,2,2,10,2,1,1,2,4,4,2,4,4,2,4,4,1,4,4,4,4,4,4,4,4,2,2,
2,2,2,2,4,4,2,6,4,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,1,1,2,2,2,2,2,1,1,1,1,1,1,2,2,
2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,33,46,2,48,40,13,9,60,81,92,106,
76,92,48,1,13,10,14,24,9,8,6,13,25,30,20,10,8,16,32,32,64,64,12,28,36,60,32,
16,48,40,16,32,32,80,14,48,42,26,38,34,14,44,72,32,40,144,8,8,1,1,5,12,1,3,2,
5,12,3,12,12,3,24,4,12,9,12,7,20,7,2,8,10,32,2,2,2,4,16,10,12,8,4,8,8,8,18,6,
4,10,10,10,12,28,12,32,4,48,6,6,4,2,8,10,22,16,32,4,16,8,32,20,8,32,8,8,8,16,
8,16,12,8,16,14,12,16,8,8,16,18,14,12,12,16,16,8,14,16,4,14,10,16,4,24,12,16,
8,8,16,24,24,24,24,1,1,3,4,3,1,3,8,8,8,5,2,8,1,2,4,4,6,4,4,2,2,4,2,6,6,2,8,6,
2,4,4,4,2,4,4,8,2,2,4,6,4,4,8,5,2,4,5,6,4,8,12,10,6,8,8,4,12,4,8,5,4,4,12,12,
6,6,2,6,2,4,2,6,2,4,4,4,4,4,4,2,2,2,2,4,8,12,4,4,8,8,12,8,8,4,8,4,16,12,12,8,
8,4,8,4,8,4,4,8,8,8,4,4,8,4,12,16,4,8,4,4,8,4,4,8,4,16,8,4,4,1,2,2,1,2,1,1,2,
1,1,2,2,2,2,2,3,1,2,2,2,2,1,1,2,2,1,1,2,4,1,3,4,4,2,2,4,4,6,2,4,2,2,4,1,4,4,4,
4,4,4,4,4,2,2,2,6,2,2,2,4,6,4,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,1,1,2,2,2,2,2,1,1,
1,1,2,1,1,2,2,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,57,70,18,48,168,49,33,
180,213,268,378,60,52,48,3,49,42,126,168,45,90,48,67,189,270,28,126,168,16,
168,360,360,504,36,76,68,84,48,64,72,88,32,72,88,144,112,18,16,22,26,30,18,26,
36,56,32,144,8,16,6,21,45,180,2,14,168,21,2,63,252,135,270,126,36,4,6,8,9,36,
9,2,8,4,36,2,4,4,8,18,18,4,22,30,18,44,28,36,16,36,48,144,18,18,36,18,10,16,
32,8,12,36,144,44,36,144,32,56,32,16,16,36,144,4,18,24,16,56,22,36,8,8,32,18,
30,28,36,48,32,18,18,18,12,36,18,44,8,16,16,8,8,16,16,8,8,8,18,45,21,42,36,9,
9,9,36,36,72,6,8,2,4,9,4,8,36,6,18,22,12,24,36,36,36,6,6,10,18,18,18,18,28,48,
16,18,18,4,4,18,18,18,18,36,8,4,16,16,32,8,4,4,4,16,2,6,12,18,24,36,18,18,36,
36,18,36,8,8,9,4,4,8,2,4,4,4,4,2,4,24,4,8,4,4,4,4,4,4,4,4,8,8,4,8,8,8,4,8,8,4,
4,4,4,4,4,8,1,1,2,12,18,18,18,2,18,18,18,18,18,4,8,1,2,12,2,8,4,6,9,9,2,2,1,1,
1,2,2,1,1,2,2,2,2,9,4,8,4,4,4,4,4,2,2,2,2,2,2,2,2,8,2,4,4,4,4,4,4,4,4,8,8,8,2,
2,3,3,2,2,1,1,9,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,41,54,2,112,
24,13,37,60,133,132,154,60,68,48,15,25,6,14,24,9,8,6,27,37,30,84,6,8,56,80,32,
96,48,36,92,116,100,16,32,32,32,16,16,16,16,48,48,10,8,62,14,54,30,50,92,40,
48,40,112,56,16,1,1,1,9,12,7,9,7,3,12,3,12,12,7,24,9,2,23,4,25,20,5,21,12,28,
10,24,14,14,42,4,8,4,8,4,4,4,4,8,42,2,54,42,46,6,84,92,4,8,4,24,32,54,2,4,6,
42,8,16,4,46,8,16,4,8,8,48,92,24,16,84,8,8,8,8,32,6,8,4,16,8,6,12,6,12,8,10,
10,12,12,8,4,14,8,4,14,6,16,8,16,8,16,16,8,16,56,168,168,168,8,8,8,1,1,7,4,9,
1,1,21,4,8,8,23,4,21,2,1,28,4,2,8,2,2,2,6,4,4,4,2,2,4,2,2,4,8,2,2,2,8,2,6,2,4,
2,4,2,4,4,8,8,4,4,4,3,6,2,5,2,1,3,2,4,4,12,6,6,8,12,4,8,4,8,8,5,28,84,84,84,
42,42,42,84,2,2,2,2,4,2,2,2,2,4,4,4,4,2,2,2,4,4,4,56,8,4,4,4,4,8,8,4,12,12,8,
4,8,12,4,4,4,8,4,8,12,4,4,8,4,4,8,4,4,8,8,8,8,4,4,4,8,4,4,8,4,8,4,8,8,4,4,4,4,
4,4,4,4,8,1,2,2,1,1,1,2,2,7,7,21,2,2,2,2,2,1,1,1,2,2,1,2,2,1,1,1,2,6,2,2,2,2,
2,2,2,2,2,4,2,6,2,2,2,4,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,2,2,2,4,4,4,4,2,
2,2,2,2,4,4,4,4,8,2,4,4,4,4,4,4,4,4,8,8,4,4,4,8,4,4,4,4,8,8,1,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,45,18,64,48,6,
45,15,180,135,270,144,45,90,45,90,135,270,360,360,64,96,36,240,24,48,6,15,45,
180,135,270,36,72,72,18,45,48,24,3,60,24,36,1,9,12,1,3,1],[1,45,18,112,6,45,
15,180,135,270,144,45,90,45,90,135,270,360,360,64,96,240,24,36,48,6,15,45,180,
135,270,36,72,72,18,45,48,24,3,60,24,36,1,9,12,1,3,1],[1,21,42,16,96,14,168,7,
21,63,252,126,48,96,3,42,42,168,48,63,63,126,168,168,504,64,8,112,8,12,232,24,
16,32,7,14,168,21,63,252,126,24,24,24,24,12,24,48,21,42,16,32,28,1,2,56,8,8,
24,8,12,1,3,6,4,8,1,1,2,1],[1,27,112,39,30,18,144,15,15,36,9,12,64,24,120,48,
48,1,1,3,3,9,9,9,24,24,12,3,3,9,48,1,5,4,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,3,
24,16,96,4,16,12,1,18,18,18,48,96,3,3,12,12,36,9,12,64,4,4,4,20,32,48,80,16,
16,16,1,1,3,3,9,9,9,12,12,12,12,12,3,3,9,16,16,16,4,1,5,4,4,4,4,12,12,1,3,3,4,
4,1,1,1,1,1],[1,75,40,35,162,90,176,120,15,18,15,180,54,45,54,18,16,2,40,8,
120,24,1,45,54,45,54,16,32,12,96,6,24,24,15,9,27,8,16,2,2,6,24,6,9,8,8,6,6,1,
6,1,2,1],[1,75,40,23,174,90,176,120,3,12,33,144,90,27,72,18,16,20,10,12,8,120,
24,1,27,72,9,36,54,16,32,12,48,12,36,12,12,6,24,3,12,9,9,18,8,16,1,1,2,12,12,
6,6,9,8,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,21,54,16,24,2,36,3,21,45,72,18,54,36,16,
64,96,48,72,3,3,6,18,9,9,18,36,90,18,36,36,27,9,18,27,18,18,16,8,12,12,10,8,
24,48,48,24,1,18,9,18,9,9,18,18,18,9,9,9,18,36,16,16,16,12,24,12,24,36,12,6,
12,24,3,3,9,9,9,9,9,8,16,1,1,2,12,6,12,6,9,8,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,
51,40,35,54,126,144,24,15,9,108,27,36,36,16,2,40,8,24,24,1,27,27,18,18,16,12,
72,6,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,63,36,40,6,35,90,54,72,144,24,54,
152,24,72,15,9,18,18,36,48,36,36,24,72,108,36,36,36,72,36,27,72,16,2,40,8,24,
72,72,24,24,24,1,6,9,6,18,9,18,36,36,27,9,18,18,72,72,27,9,18,18,16,32,2,6,12,
72,6,12,8,24,24,24,24,24,24,6,18,9,9,18,9,18,18,18,8,16,2,2,6,6,12,6,6,12,6,6,
24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,2,1],[1,27,72,4,36,3,52,72,1,3,18,45,126,
81,12,18,48,4,12,28,132,36,36,3,9,18,9,9,21,9,18,24,18,6,18,54,3,27,9,9,30,
108,18,18,18,18,36,90,9,9,9,36,36,36,16,1,1,8,32,12,4,4,12,12,36,36,12,36,36,
12,12,12,12,3,1,3,9,3,9,9,3,9,9,9,9,9,9,27,18,9,9,27,36,18,18,9,27,36,9,18,9,
9,9,27,9,9,16,16,16,1,1,6,3,3,6,24,48,3,3,6,6,4,12,12,4,12,12,12,12,12,12,12,
12,12,12,9,3,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,2,1,1,3,3,3,3,3,6,3,3,6,3,6,6,3,
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,
65,78,6,120,45,45,180,165,300,390,60,60,16,5,45,30,90,120,45,90,45,165,270,30,
40,160,360,360,240,60,60,60,60,120,120,120,120,240,30,30,30,30,30,30,240,16,
48,48,6,15,45,180,15,15,60,135,270,60,60,15,60,15,60,30,30,30,30,30,60,60,60,
240,30,30,60,30,60,240,60,60,240,60,240,30,60,30,30,30,60,16,48,48,18,45,5,60,
15,15,15,60,60,120,15,60,10,30,30,60,10,30,30,30,30,60,30,60,30,60,15,16,1,30,
30,30,30,15,15,1,5,1,3,3,1,3,3,1],[1,45,26,15,35,60,25,60,100,20,120,16,5,10,
20,15,25,30,40,60,20,20,20,80,20,40,20,40,10,80,10,60,10,40,40,16,16,16,1,5,
15,15,20,5,10,10,10,20,20,10,10,40,20,40,20,30,20,15,5,10,20,20,20,16,32,1,5,
10,5,10,5,5,5,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,45,26,
15,35,60,25,60,100,20,40,80,16,5,10,20,15,25,30,40,60,20,20,20,80,20,40,20,40,
10,10,20,10,40,80,40,40,16,16,16,1,5,15,15,5,20,10,10,10,20,20,10,10,40,20,40,
10,20,20,20,15,5,10,20,20,20,16,32,1,5,10,5,10,5,5,5,10,10,5,10,20,10,10,10,
16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,55,55,55,66,110,55,66,12,55,55,12,22,1],[1,
55,55,55,66,110,55,66,12,55,55,12,22,1],[1,75,40,45,120,90,36,160,120,30,180,
45,10,36,30,120,45,10,40,36,60,30,10,20,30,12,10,12,1,1],[1,75,40,15,150,90,
36,160,120,15,15,90,90,45,10,36,15,15,120,45,10,40,36,15,15,30,15,15,10,20,15,
15,6,6,10,6,6,1,1],[1,45,36,40,30,90,45,36,120,45,45,45,10,36,36,36,30,45,10,
36,30,10,12,10,1,1],[1,15,48,4,90,16,60,5,90,6,10,30,60,30,15,60,40,6,18,18,1,
20,25,80,60,20,10,30,30,24,5,40,6,18,18,15,15,10,24,20,10,6,5,5,5,5,1,6,10,3,
6,5,4,1,1],[1,45,40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,
1],[1,57,54,64,6,48,72,45,49,180,153,180,342,36,36,192,15,45,18,90,72,45,90,
27,153,270,12,18,24,24,96,360,360,144,36,36,108,36,72,72,72,72,72,144,18,72,
54,18,18,18,18,36,144,24,24,48,16,32,48,64,1,6,15,45,180,9,3,9,36,135,270,36,
36,9,18,9,36,9,9,36,6,6,6,18,36,36,18,18,54,18,18,18,36,36,36,72,36,144,54,18,
36,18,18,36,144,36,36,144,36,72,36,144,18,18,36,18,18,18,18,36,36,72,72,72,72,
48,96,48,48,96,96,96,96,18,45,3,36,9,9,9,9,36,36,72,9,18,9,36,6,18,18,36,6,6,
18,18,18,18,18,18,18,36,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,
18,18,18,18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,
48,48,96,96,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,18,18,18,18,
36,18,18,18,36,36,36,36,36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[
1,57,54,64,14,16,168,25,21,156,153,252,270,36,36,192,3,21,42,66,168,21,24,18,
48,63,81,90,12,126,168,168,96,144,504,36,36,36,108,72,72,72,72,72,144,18,18,
18,54,18,18,36,72,144,24,24,32,16,48,48,64,3,7,9,36,1,14,168,21,63,252,9,36,
126,9,36,9,9,36,9,18,36,6,6,6,18,36,36,54,18,18,18,18,36,36,36,36,144,18,18,
36,18,54,36,144,18,36,36,144,36,36,72,72,144,18,18,36,18,36,18,18,18,36,72,72,
72,72,48,96,48,48,96,96,96,96,3,21,42,9,36,9,9,9,36,36,72,9,9,18,36,18,36,36,
6,6,6,18,18,18,18,18,18,18,36,18,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,
18,18,18,18,36,36,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,4,
16,32,48,48,96,96,1,2,6,3,18,18,18,9,18,3,3,6,18,6,9,9,9,18,18,9,9,9,18,18,18,
18,18,18,36,18,18,36,36,36,36,36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,
1,1],[1,57,54,64,14,16,168,25,21,156,153,252,270,36,36,192,3,21,42,66,168,21,
24,18,48,63,81,90,12,126,168,168,96,144,504,36,36,36,108,72,72,72,72,72,144,
18,18,18,54,18,18,36,72,144,24,24,112,224,64,3,7,9,36,1,14,168,21,63,252,9,36,
126,9,36,9,9,36,9,18,36,6,6,6,18,36,36,54,18,18,18,18,36,36,36,36,144,18,18,
36,18,54,36,144,18,36,36,144,36,36,72,72,144,18,18,36,18,36,18,18,18,36,72,72,
72,72,48,96,96,3,21,42,9,36,9,9,9,36,36,72,9,9,18,36,18,36,36,6,6,6,18,18,18,
18,18,18,18,36,18,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,18,18,36,
36,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,28,56,16,1,2,6,3,
18,18,18,9,18,3,3,6,18,6,9,9,9,18,18,9,9,9,18,18,18,18,18,18,36,18,18,36,36,
36,36,36,36,36,12,24,24,3,6,18,9,9,18,1,8,12,1,3,1],[1,57,54,64,6,48,72,45,49,
180,153,180,342,36,36,192,15,45,18,90,72,45,90,27,153,270,12,18,24,24,96,360,
360,144,36,36,108,36,72,72,72,72,72,144,18,72,54,18,18,18,18,36,144,24,24,96,
240,64,1,6,15,45,180,9,3,9,36,135,270,36,36,9,18,9,36,9,9,36,6,6,6,18,36,36,
18,18,54,18,18,18,36,36,36,72,36,144,54,18,36,18,18,36,144,36,36,144,36,72,36,
144,18,18,36,18,18,18,18,36,36,72,72,72,72,96,48,96,18,45,3,36,9,9,9,9,36,36,
72,9,18,9,36,6,18,18,36,6,6,18,18,18,18,18,18,18,36,36,6,18,9,18,9,18,36,18,
36,9,12,12,36,36,12,36,18,18,18,18,18,18,36,36,18,18,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,24,60,16,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,
9,9,18,18,18,18,18,36,18,18,18,36,36,36,36,36,36,36,12,24,24,3,6,18,9,9,18,1,
8,12,1,3,1],[1,57,54,64,18,168,49,33,180,189,252,378,36,36,192,3,45,42,126,
168,45,90,48,63,189,270,126,168,168,360,360,504,36,36,36,36,72,72,72,72,144,
18,18,18,18,18,18,144,112,224,64,6,21,45,180,14,168,21,63,252,135,270,126,36,
9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,36,36,144,36,144,18,
18,36,18,18,36,18,18,18,36,18,36,48,96,96,18,45,21,42,36,9,9,9,36,36,72,9,36,
6,18,18,36,36,36,6,6,6,18,18,18,18,18,18,18,18,18,18,36,18,36,18,18,36,36,18,
36,9,24,28,56,32,48,1,1,18,18,18,18,18,18,18,18,6,9,9,9,12,24,24,3,3,9,1,4,1,
3,1],[1,57,54,64,18,168,49,33,180,189,252,378,36,36,192,3,45,42,126,168,45,90,
48,63,189,270,126,168,168,360,360,504,36,36,36,36,72,72,72,72,144,18,18,18,18,
18,18,144,96,240,64,6,21,45,180,14,168,21,63,252,135,270,126,36,9,36,9,36,18,
18,18,18,18,36,36,36,144,18,18,36,18,36,144,36,36,144,36,144,18,18,36,18,18,
36,18,18,18,36,18,36,96,48,96,18,45,21,42,36,9,9,9,36,36,72,9,36,6,18,18,36,
36,36,6,6,6,18,18,18,18,18,18,18,18,18,18,36,18,36,18,18,36,36,18,36,9,24,24,
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],[1,57,
54,64,6,48,72,45,49,180,153,180,342,36,36,192,15,45,18,90,72,45,90,27,153,270,
12,18,24,24,96,360,360,144,36,36,108,36,72,72,72,72,72,144,18,72,54,18,18,18,
18,36,144,24,24,96,48,64,1,6,15,45,180,9,3,9,36,135,270,36,36,9,18,9,36,9,9,
36,6,6,6,18,36,36,18,18,54,18,18,18,36,36,36,72,36,144,54,18,36,18,18,36,144,
36,36,144,36,72,36,144,18,18,36,18,18,18,18,36,36,72,72,72,72,48,96,96,18,45,
3,36,9,9,9,9,36,36,72,9,18,9,36,6,18,18,36,6,6,18,18,18,18,18,18,18,36,36,6,
18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,18,18,18,18,36,36,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,36,36,36,4,4,32,48,12,1,2,6,3,9,18,18,18,18,3,3,
6,18,6,9,9,18,18,9,9,9,9,18,18,18,18,18,36,18,18,18,36,36,36,36,36,36,36,12,
12,12,24,3,6,18,9,9,18,1,4,4,12,1,3,1],[1,57,54,64,14,16,168,25,21,156,153,
252,270,36,36,192,3,21,42,66,168,21,24,18,48,63,81,90,12,126,168,168,96,144,
504,36,36,36,108,72,72,72,72,72,144,18,18,18,54,18,18,36,72,144,24,24,16,16,
48,64,64,3,7,9,36,1,14,168,21,63,252,9,36,126,9,36,9,9,36,9,18,36,6,6,6,18,36,
36,54,18,18,18,18,36,36,36,36,144,18,18,36,18,54,36,144,18,36,36,144,36,36,72,
72,144,18,18,36,18,36,18,18,18,36,72,72,72,72,48,48,48,96,3,21,42,9,36,9,9,9,
36,36,72,9,9,18,36,18,36,36,6,6,6,18,18,18,18,18,18,18,36,18,6,18,9,18,9,18,
36,18,36,9,12,12,36,36,12,36,18,18,18,18,36,36,18,18,18,18,18,18,36,36,36,36,
36,36,36,36,36,36,36,36,36,4,4,16,48,16,12,1,2,6,3,18,18,18,9,18,3,3,6,18,6,9,
9,9,18,18,9,9,9,18,18,18,18,18,18,36,18,18,36,36,36,36,36,36,36,12,12,12,24,3,
6,18,9,9,18,1,4,4,12,1,3,1],[1,57,54,64,18,168,49,33,180,189,252,378,36,36,
192,3,45,42,126,168,45,90,48,63,189,270,126,168,168,360,360,504,36,36,36,36,
72,72,72,72,144,18,18,18,18,18,18,144,48,16,32,48,64,6,21,45,180,14,168,21,63,
252,135,270,126,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,
36,36,144,36,144,18,18,36,18,18,36,18,18,18,36,18,36,48,48,96,48,96,96,18,45,
21,42,36,9,9,9,36,36,72,9,36,6,18,18,36,36,36,6,6,6,18,18,18,18,18,18,18,18,
18,18,36,18,36,18,18,36,36,18,36,9,24,4,4,16,48,32,48,1,1,18,18,18,18,18,18,
18,18,6,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,33,46,64,14,168,13,21,36,93,252,
174,12,60,16,64,3,7,42,50,168,3,6,48,63,69,30,126,168,168,32,48,504,12,12,12,
12,24,24,24,24,48,6,6,6,6,30,6,24,48,48,112,224,64,7,3,12,14,168,21,63,252,3,
12,126,12,4,3,12,3,12,12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,
6,12,6,12,12,18,6,12,12,24,24,16,32,32,1,21,42,12,3,3,3,12,12,24,3,12,12,12,2,
2,6,6,6,6,6,6,6,6,6,12,6,12,12,3,12,24,12,12,24,12,28,56,16,1,6,6,6,6,1,3,3,6,
6,6,6,3,4,8,8,1,3,3,1,4,1,1,1],[1,49,30,64,6,24,45,21,180,141,60,294,28,12,48,
64,1,45,6,90,24,45,90,9,141,270,6,8,32,360,360,48,12,12,12,12,24,24,24,24,48,
6,30,6,6,6,6,24,48,48,96,240,64,6,15,45,180,3,3,12,135,270,12,12,4,3,12,3,12,
12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,48,12,48,24,6,12,12,12,18,12,6,
6,12,24,32,16,32,18,45,1,12,3,3,3,12,12,24,3,12,2,6,6,12,2,6,6,6,6,12,6,6,6,
12,6,12,12,3,12,12,24,12,12,24,24,60,16,1,6,6,6,6,1,3,3,6,6,6,6,3,4,8,8,1,3,3,
1,4,1,1,1],[1,49,78,64,6,144,24,45,21,180,213,108,294,84,12,96,128,64,1,57,6,
90,24,45,90,21,141,270,84,6,8,48,32,360,360,48,12,132,108,156,96,96,24,24,24,
24,48,288,6,18,6,42,6,30,108,144,48,48,24,96,240,64,6,15,45,180,6,3,6,3,12,
135,270,12,12,18,24,3,12,3,6,12,12,12,6,12,12,24,6,6,12,18,42,6,36,84,12,12,
144,48,6,6,12,6,30,24,48,36,12,48,12,12,48,96,144,48,48,12,48,72,144,6,12,12,
24,6,36,72,144,6,36,6,12,24,24,24,48,48,128,96,32,16,32,18,45,1,12,3,3,3,12,
12,24,18,24,6,3,12,12,12,2,6,6,36,72,12,2,12,72,144,12,6,6,6,6,12,12,12,24,12,
6,18,36,72,6,12,6,12,12,3,12,12,24,6,12,12,12,12,6,12,12,12,12,12,12,12,12,12,
24,24,24,12,24,24,12,24,60,16,32,1,6,36,6,6,6,6,6,3,6,36,3,6,6,3,3,3,6,6,6,3,
12,12,12,12,6,6,6,6,24,24,8,48,4,8,8,6,1,6,3,3,6,6,6,6,1,4,8,3,2,1,1],[1,33,
94,64,14,144,168,13,21,36,165,300,174,36,60,96,128,64,3,19,42,50,168,3,6,48,
75,69,30,84,126,168,48,168,32,48,504,12,84,60,60,96,192,24,72,96,24,72,48,192,
6,48,18,30,18,6,30,60,96,96,48,24,112,224,64,7,3,12,6,14,168,21,6,63,252,3,12,
126,12,12,6,12,3,12,3,6,24,12,12,6,12,12,24,6,6,12,18,18,6,36,36,12,48,12,72,
48,6,6,12,6,30,48,96,24,12,12,48,36,12,48,48,96,96,48,48,12,48,12,6,12,48,48,
12,24,24,96,6,24,12,24,96,6,6,12,24,24,48,48,24,24,48,48,32,64,128,16,32,32,1,
21,42,12,3,3,3,12,12,24,6,12,6,12,3,12,24,12,12,12,12,12,2,2,6,6,6,6,24,24,48,
6,6,12,12,24,12,48,48,96,24,12,12,12,48,6,6,6,12,12,6,12,24,24,3,12,12,24,6,
12,12,12,12,6,12,12,12,12,12,12,12,12,12,24,24,24,12,24,24,12,28,56,16,32,1,6,
6,6,6,6,6,12,24,3,6,24,12,3,6,6,3,3,3,6,6,6,3,12,12,12,12,6,6,6,6,24,24,8,16,
32,4,8,8,6,1,6,3,3,6,6,6,6,1,4,8,3,2,1,1],[1,57,70,64,14,48,168,13,105,36,105,
324,222,108,36,48,64,64,64,45,7,42,50,168,3,6,48,81,81,30,12,126,168,24,216,
32,48,504,108,36,324,36,48,96,72,48,48,24,48,96,48,6,24,162,18,18,6,18,36,24,
48,96,24,112,224,64,3,7,3,12,14,168,27,3,63,252,3,12,126,12,27,6,9,12,3,9,12,
24,6,12,24,12,18,6,162,18,18,6,36,36,12,24,12,48,162,6,12,18,24,48,12,12,48,
24,24,96,24,48,36,24,12,96,18,6,24,24,6,12,126,12,48,126,6,12,12,48,6,6,12,12,
24,24,24,24,72,72,112,16,32,64,16,32,32,1,21,42,12,27,3,3,9,12,12,24,9,6,3,12,
24,42,6,6,12,12,12,2,2,6,6,6,6,12,24,6,6,6,6,126,6,6,12,12,24,24,48,24,12,63,
6,6,24,3,6,12,6,6,12,12,12,12,3,12,36,18,6,6,6,6,12,6,12,12,12,12,12,12,12,24,
24,12,12,24,24,12,12,12,12,28,56,16,32,1,6,6,6,21,3,6,6,6,12,3,21,3,12,6,3,3,
6,3,3,6,6,6,6,3,12,12,12,12,6,6,6,6,12,12,12,12,28,4,8,16,4,8,8,3,3,1,3,3,3,3,
6,6,6,6,1,4,8,3,1,1,1,1],[1,33,94,64,14,96,216,13,21,36,117,348,174,36,60,96,
128,64,3,7,54,50,168,3,6,48,75,69,30,24,138,168,48,168,32,48,552,12,36,60,36,
96,192,24,96,120,72,96,96,96,18,96,18,30,6,18,6,24,48,96,96,24,112,224,64,7,3,
12,14,168,21,6,69,252,3,12,126,12,24,3,12,9,6,24,24,6,6,6,12,24,6,18,12,18,6,
18,12,24,36,96,12,96,6,18,12,6,48,96,30,12,96,48,24,48,48,96,24,96,12,48,12,6,
48,48,18,12,12,24,96,6,6,24,12,96,12,6,6,12,24,36,48,48,72,72,32,64,128,16,32,
32,1,21,42,12,9,3,3,24,12,24,6,24,3,24,12,12,12,12,12,2,2,6,6,6,6,24,48,6,6,
18,6,12,12,12,24,48,48,96,24,6,6,12,12,48,6,6,12,6,6,12,12,24,24,3,12,36,18,6,
6,12,12,6,6,6,12,24,24,12,24,24,12,12,12,24,12,12,24,12,28,56,16,32,1,6,6,6,6,
6,6,12,24,3,6,24,12,3,6,6,3,6,6,12,3,12,12,12,12,6,12,6,12,12,12,12,8,16,32,4,
8,8,6,1,6,3,3,6,12,6,1,4,8,3,2,1,1],[1,97,30,64,6,24,69,21,372,141,60,342,36,
156,128,64,1,45,6,90,24,81,48,102,9,141,282,6,8,32,408,360,48,36,12,12,84,192,
24,312,192,72,96,18,6,18,42,78,6,192,96,24,96,240,64,6,6,15,45,180,3,3,12,141,
270,12,6,24,3,12,9,48,12,6,6,6,12,24,42,18,6,6,6,12,12,12,48,6,18,36,18,36,24,
96,78,12,12,48,96,192,192,96,6,12,6,6,12,6,42,84,12,36,12,72,6,12,144,144,72,
72,32,192,32,16,32,18,45,1,6,24,3,3,3,12,12,24,9,48,12,2,6,6,6,12,12,12,2,12,
12,36,72,6,6,6,6,12,42,48,144,6,6,18,36,6,6,12,12,6,12,72,3,12,36,18,6,6,12,
12,6,6,6,24,12,24,12,24,12,12,24,12,12,12,24,24,12,24,60,16,32,1,18,24,6,6,6,
6,6,3,18,24,3,6,6,3,6,6,12,3,12,12,12,12,6,12,6,12,12,12,12,24,32,4,8,8,6,1,6,
3,3,6,12,6,1,4,8,3,2,1,1],[1,73,54,64,6,48,24,57,21,252,225,60,342,60,84,48,
64,64,64,1,63,6,90,24,63,24,90,9,153,270,36,6,8,32,360,408,48,36,60,60,156,48,
96,72,144,96,24,96,144,6,18,6,66,42,18,60,72,72,96,24,96,240,64,6,3,15,51,180,
3,3,3,12,135,270,12,9,24,15,12,9,12,3,18,12,6,12,24,12,54,6,18,30,18,36,60,12,
12,72,96,18,6,12,6,66,24,48,36,12,12,96,60,72,48,72,72,48,12,36,72,6,12,6,18,
36,12,72,6,18,48,30,18,48,6,12,72,72,72,72,16,64,48,96,32,16,32,18,45,1,9,12,
3,3,9,12,24,24,15,12,3,18,12,2,6,6,18,36,12,12,2,6,6,12,6,6,36,72,6,18,48,6,6,
6,6,12,18,24,72,12,9,18,9,18,36,12,6,6,12,6,12,36,3,12,36,18,6,6,12,6,6,6,12,
12,12,12,12,12,12,24,12,12,24,12,12,24,12,24,12,24,60,16,32,1,3,18,6,9,12,6,6,
6,6,3,3,18,9,12,3,3,3,6,3,6,6,6,6,3,12,12,12,12,6,6,6,6,12,12,12,12,4,24,12,
16,4,8,8,3,3,1,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,33,46,64,14,168,13,21,36,
93,252,174,60,12,48,64,3,7,42,50,168,3,6,48,63,69,30,126,168,168,32,48,504,12,
12,12,12,24,24,24,24,48,6,6,6,30,6,6,48,72,48,48,112,224,64,7,3,12,14,168,21,
63,252,3,12,126,12,12,12,3,12,3,12,6,6,6,6,6,12,12,12,48,6,6,12,6,12,48,12,12,
48,12,48,6,12,48,18,12,12,48,6,6,12,12,24,24,24,16,32,32,1,21,42,12,3,3,3,12,
12,24,3,12,12,12,2,2,6,6,6,6,6,6,6,6,6,24,12,6,12,3,12,12,12,12,12,12,12,12,
12,24,28,56,16,32,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,
8,3,1,1],[1,49,30,64,6,24,45,21,180,141,60,294,12,60,48,64,1,45,6,90,24,45,90,
9,141,270,6,8,32,360,360,48,12,12,12,12,24,24,24,24,48,6,48,6,30,6,6,6,24,48,
48,48,96,240,64,6,15,45,180,3,3,12,135,270,12,12,12,3,12,3,12,12,6,6,6,6,6,12,
12,12,48,6,6,12,6,12,48,12,12,48,12,48,12,18,12,12,48,6,12,48,6,6,12,24,24,24,
32,16,32,18,45,1,12,3,3,3,12,12,24,3,12,2,6,6,12,2,6,6,6,6,12,6,24,6,6,12,6,
12,3,12,12,12,12,12,12,12,12,12,24,24,60,32,16,1,6,6,6,6,6,3,3,3,6,3,6,6,6,12,
12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,21,34,64,4,16,48,7,3,12,57,60,48,84,
48,48,64,9,4,4,16,3,8,6,9,12,18,24,12,24,60,12,12,24,12,48,12,12,24,24,6,24,
12,18,30,12,84,24,48,24,72,12,24,16,16,48,64,64,3,1,1,12,3,12,3,6,6,15,3,6,12,
6,12,3,3,6,3,6,6,12,12,6,6,12,12,12,24,6,6,3,12,24,12,6,3,12,24,6,24,6,12,12,
24,6,6,9,12,12,6,12,12,12,24,12,12,12,12,12,16,16,16,32,1,3,6,3,6,3,4,3,6,3,3,
6,1,3,6,12,3,6,3,6,6,12,6,2,6,3,6,6,6,3,6,9,3,12,6,12,6,12,12,6,6,12,12,6,6,6,
6,6,6,6,12,12,4,4,12,16,16,16,1,3,6,3,3,3,3,6,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,37,18,64,15,39,60,21,36,84,36,96,48,
64,15,10,20,9,21,30,24,60,20,12,36,48,12,12,24,12,24,6,24,18,12,36,42,24,48,
72,72,12,24,96,48,64,1,1,3,15,15,6,12,3,6,3,12,18,6,3,6,3,6,3,6,12,12,18,18,6,
12,12,3,6,6,24,12,24,12,6,12,12,6,12,9,6,36,36,3,6,6,36,36,12,12,12,12,12,16,
32,32,1,3,3,6,3,4,6,3,3,3,6,6,1,3,6,18,3,6,3,6,18,2,6,3,6,6,6,6,3,9,3,12,6,6,
12,12,6,6,12,12,6,6,6,12,6,6,6,6,12,12,4,4,12,16,32,1,3,6,3,3,3,3,6,3,6,6,3,3,
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],[1,85,18,64,39,
39,252,21,36,132,12,144,128,64,15,46,48,32,9,21,42,24,108,20,12,36,240,12,12,
168,120,12,24,18,72,18,48,42,120,24,24,12,24,96,48,64,1,1,6,3,21,15,3,18,9,30,
6,6,3,3,3,6,36,18,18,18,36,48,3,42,6,6,24,60,120,120,24,48,18,36,9,3,6,6,36,
36,12,72,72,12,12,12,12,24,24,24,24,32,128,16,32,32,1,3,9,30,6,3,16,18,3,3,3,
6,12,6,36,1,3,9,3,6,18,12,36,2,6,18,3,18,18,6,3,9,3,6,12,36,6,12,6,6,6,6,6,36,
6,6,6,6,12,12,12,12,12,12,24,4,4,12,16,32,1,6,3,3,3,9,9,3,6,12,12,6,6,6,6,3,3,
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],[1,21,82,64,4,112,96,7,3,12,81,156,48,12,48,96,128,64,9,16,4,16,3,8,18,
9,36,30,24,48,12,24,108,12,12,24,48,192,12,96,72,12,12,72,24,48,18,72,18,6,24,
12,96,48,24,24,12,24,24,16,16,48,64,64,3,1,1,12,6,9,12,3,6,18,3,12,9,12,6,3,6,
3,3,6,12,24,18,6,24,12,36,72,24,48,48,18,6,6,3,36,24,12,24,48,72,6,3,12,12,24,
24,12,12,24,6,6,9,12,6,12,24,72,12,12,72,12,12,12,24,24,24,24,32,32,32,64,16,
16,16,32,1,9,6,3,18,12,6,3,4,3,6,3,12,3,6,12,12,12,24,1,3,12,3,6,3,6,6,12,36,
2,6,3,18,6,6,6,12,12,3,9,3,6,12,12,6,24,12,6,6,12,6,6,6,24,6,6,6,6,12,12,12,
12,12,12,24,4,4,12,16,16,16,1,3,6,3,3,3,6,3,3,6,6,12,6,6,12,6,6,3,3,3,3,6,6,6,
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,
89,54,16,6,72,61,33,324,153,180,390,52,132,48,48,80,3,45,18,90,72,69,32,102,
27,153,282,18,24,96,408,360,144,52,36,36,84,192,72,216,192,120,192,30,18,30,
42,66,18,144,192,24,8,12,16,16,48,80,48,16,16,6,4,15,45,180,9,9,36,141,270,36,
4,48,9,36,15,36,36,6,6,6,12,24,42,30,18,18,18,36,36,36,144,18,30,60,30,24,48,
192,54,36,36,144,96,144,144,192,18,36,18,6,12,18,30,60,12,24,12,48,18,36,96,
96,72,72,12,12,8,24,16,12,8,24,24,16,16,16,16,16,16,16,18,45,3,4,48,9,9,9,36,
36,72,15,36,36,6,18,18,6,12,12,36,6,12,12,24,48,18,18,18,18,36,30,32,96,6,6,
12,24,18,6,12,36,18,36,48,9,12,36,18,6,6,12,12,6,6,6,24,12,24,12,24,12,12,24,
12,12,12,24,24,12,1,8,12,4,12,24,12,8,4,8,8,24,4,4,8,16,1,12,16,18,6,18,18,18,
3,12,16,9,6,6,3,6,6,12,9,12,12,12,12,6,12,6,12,12,12,12,1,3,2,3,4,12,2,4,4,4,
8,4,4,4,3,6,3,3,6,12,6,1,3,3,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,65,78,16,14,
48,168,25,49,108,165,324,318,76,60,48,48,48,80,17,21,42,66,168,9,18,48,81,93,
90,12,126,168,24,216,96,144,504,76,60,180,60,48,96,120,96,48,72,96,192,48,18,
24,90,30,30,18,30,36,24,48,192,24,8,12,16,16,48,80,48,16,16,1,7,9,36,14,168,
27,3,63,252,9,36,126,36,13,6,15,36,9,9,12,48,6,12,24,12,30,18,78,30,30,18,60,
36,36,24,36,144,90,18,36,30,24,48,12,36,144,48,48,192,24,48,36,24,36,192,18,
18,24,24,6,12,42,12,48,42,18,12,36,48,18,18,36,12,24,24,24,24,72,72,12,16,20,
24,24,20,24,16,16,16,16,16,16,16,3,21,42,36,13,9,9,15,36,36,72,9,6,9,12,48,14,
6,6,36,36,12,6,6,18,18,18,18,12,24,6,18,18,6,42,6,6,12,12,24,24,48,24,12,21,6,
6,24,3,18,36,6,18,36,12,12,12,9,12,36,18,6,6,6,6,12,6,12,12,12,12,12,12,12,24,
24,12,12,24,24,12,12,12,12,1,4,8,12,20,24,12,12,8,24,4,8,4,16,1,18,18,18,7,3,
18,6,6,12,3,7,3,12,6,9,3,6,3,3,6,6,6,6,9,12,12,12,12,6,6,6,6,12,12,12,12,1,2,
3,3,4,12,2,4,8,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,3,3,1,1,1,2,2,4,3,1,1,1,1,1,
1,1,1],[1,57,86,16,6,112,72,45,33,180,201,228,342,84,36,64,16,80,80,3,53,18,
90,72,45,90,39,153,270,60,18,24,48,96,360,360,144,36,132,108,132,64,96,72,72,
72,72,144,192,18,30,18,42,18,42,84,96,48,144,24,12,8,16,16,48,48,80,16,16,6,
15,45,180,4,9,6,9,36,135,270,36,36,12,16,9,36,9,6,12,12,36,6,12,12,24,18,18,
12,30,42,18,60,60,36,36,96,144,18,18,36,18,30,24,48,24,36,144,36,36,144,72,96,
48,48,36,144,48,96,18,36,12,24,18,24,48,96,18,24,18,36,24,24,24,48,48,12,20,
24,16,20,24,24,16,16,16,16,16,16,16,18,45,3,36,9,9,9,36,36,72,12,16,6,9,12,12,
36,6,18,18,24,48,36,6,8,48,96,12,18,18,18,18,36,12,12,24,12,6,12,24,48,18,36,
18,36,12,9,12,12,24,6,12,12,12,12,6,12,12,12,12,12,12,12,12,12,24,24,24,12,24,
24,12,1,4,8,12,12,8,12,20,24,24,4,4,8,16,1,4,24,18,18,18,18,6,3,4,24,9,6,6,3,
3,3,6,6,6,9,12,12,12,12,6,6,6,6,24,24,1,3,2,3,4,12,2,4,4,4,8,4,4,4,3,6,3,3,6,
6,6,6,1,3,3,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,65,78,16,6,112,72,25,41,124,
189,228,294,76,60,48,48,48,80,15,33,18,42,72,13,8,18,39,69,90,84,18,24,56,128,
96,176,144,52,108,180,132,48,96,96,96,48,48,48,48,144,144,6,24,78,18,54,18,42,
108,72,48,24,144,56,4,4,4,16,16,48,80,48,16,16,1,1,3,13,36,7,13,7,9,36,9,36,
36,7,24,13,6,27,12,21,12,3,21,12,28,6,24,14,14,42,12,24,12,24,12,12,12,12,24,
42,6,78,42,54,18,84,108,12,24,12,72,96,78,6,12,18,42,24,48,12,54,24,48,12,24,
24,144,108,72,48,84,24,24,24,24,96,18,12,12,24,6,12,18,12,24,18,18,12,12,24,6,
24,18,18,24,12,24,24,24,56,168,168,168,4,4,8,12,12,4,4,8,8,8,12,8,12,4,8,8,8,
16,16,8,16,16,16,16,16,3,3,7,12,13,3,3,21,12,24,24,27,12,21,6,3,28,12,6,24,6,
6,6,18,12,12,12,6,6,12,6,6,12,24,6,6,6,24,6,18,6,12,6,12,6,12,12,24,24,12,12,
12,9,6,6,3,6,3,9,6,12,12,6,6,12,12,3,28,84,84,84,42,42,42,84,6,6,6,6,12,6,6,6,
6,12,12,12,12,6,6,6,12,12,12,56,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,
24,12,12,24,24,24,24,12,12,12,24,12,12,24,12,24,12,24,24,12,12,12,4,4,4,4,4,4,
4,8,12,8,4,8,4,12,12,4,12,8,4,8,8,8,8,4,4,4,4,4,4,8,8,8,16,3,6,6,3,3,3,6,6,7,
7,21,3,3,3,6,6,3,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,3,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,28,6,6,6,6,6,6,12,12,12,12,24,12,12,12,12,24,12,12,12,
1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,6,6,6,6,3,3,3,3,3,3,6,6,6,6,
12,12,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,53,66,16,12,32,144,19,7,100,
57,180,120,52,48,48,48,48,80,3,12,12,48,13,8,12,24,18,9,12,8,54,72,16,36,48,8,
180,16,12,12,48,48,96,36,48,24,60,36,72,168,48,6,24,12,6,54,24,12,24,24,48,48,
72,12,8,24,24,8,4,16,16,48,80,48,16,16,1,1,3,36,2,9,36,6,9,7,18,6,6,6,3,12,12,
6,3,2,3,15,30,24,12,18,6,12,12,24,24,24,24,48,6,12,42,48,15,12,24,24,24,48,24,
18,24,24,48,21,12,24,12,36,24,6,30,15,6,18,18,12,24,24,24,12,12,24,12,12,12,
24,24,24,24,8,16,8,4,4,8,8,8,16,4,8,8,16,16,8,16,16,16,16,16,3,1,12,3,6,6,6,
12,6,6,18,12,3,3,6,12,15,12,12,3,6,6,12,24,3,9,12,6,3,9,12,6,6,4,12,6,18,3,6,
6,6,18,12,6,12,3,6,3,9,24,6,12,12,6,12,12,12,6,6,12,24,6,12,18,18,6,12,6,6,6,
12,12,12,12,12,12,24,8,4,4,4,8,4,8,4,8,16,8,16,8,8,4,4,8,8,8,16,3,3,6,6,1,3,6,
3,6,3,3,6,4,4,6,6,6,6,6,3,3,3,6,3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,1,8,4,
4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,77,
42,16,43,47,212,57,84,228,28,120,48,48,80,15,38,16,60,21,57,90,56,180,60,28,
84,192,36,36,120,120,36,72,18,72,42,36,42,72,72,8,36,24,4,8,16,16,48,80,48,16,
16,1,3,2,7,45,45,7,18,9,18,18,2,9,9,9,18,36,42,42,18,36,36,9,30,18,18,72,60,
72,72,72,36,18,36,27,9,18,18,36,36,36,24,24,36,12,12,12,24,24,24,24,4,12,8,8,
8,16,12,8,16,8,16,16,8,16,16,16,16,16,3,7,9,18,18,9,12,18,9,9,9,18,12,18,36,3,
9,9,9,18,18,4,12,6,18,6,9,18,18,18,9,27,9,6,12,12,6,12,18,18,18,18,18,36,18,6,
6,6,12,12,12,12,12,12,24,4,4,8,12,8,8,16,4,12,8,16,8,4,4,8,8,8,16,3,6,9,1,9,9,
3,3,6,4,4,6,6,6,6,9,3,9,9,6,6,6,18,6,6,6,6,18,6,6,6,6,6,1,4,8,4,4,4,4,4,4,8,1,
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],[1,29,42,14,168,7,49,
63,252,126,28,64,17,42,42,168,48,63,63,126,168,168,504,28,84,42,64,1,7,14,168,
21,63,252,126,7,42,42,42,42,21,42,7,14,42,21,24,48,1,7,7,8,1,1,1],[1,29,42,
112,7,35,28,105,84,84,28,64,15,21,7,8,21,21,84,56,56,56,28,84,84,84,42,42,42,
84,56,64,1,1,7,7,7,7,7,7,21,21,21,28,14,14,42,42,42,42,42,84,84,42,42,42,84,
84,56,168,168,168,7,7,21,21,21,28,28,84,84,84,42,42,42,84,56,8,8,7,7,21,28,8,
8,1,1],[1,75,160,175,30,90,96,160,75,15,180,45,60,96,400,120,5,1,15,15,45,45,
45,120,15,15,45,20,10,60,64,5,6,10,6,5,1],[1,75,160,55,150,90,96,160,15,75,
180,45,60,96,280,240,1,5,15,15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,6,
5,1],[1,45,18,64,6,45,15,180,135,270,16,45,90,45,90,135,270,360,360,48,96,240,
64,6,15,45,180,135,270,16,18,45,24,60,16,1,1,3,1,4,1,1],[1,75,40,35,130,90,96,
80,120,15,10,15,180,30,45,30,10,96,10,40,40,40,40,1,45,30,45,30,20,30,40,40,
40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,35,16,35,30,150,16,80,15,5,60,15,60,
60,16,20,80,16,1,15,15,30,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,
35,16,35,30,150,16,80,5,15,60,75,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,
15,1,20,16,15,1,5,1,5,1,3,1,1],[1,3,84,28,57,7,70,63,63,84,1,112,189,84,21,8,
21,21,84,126,63,28,7,7,14,14,7,7,21,21,84,21,21,21,24,63,28,28,28,8,16,8,7,28,
21,42,42,21,21,7,7,21,21,21,21,21,7,7,28,8,24,21,21,21,8,7,7,7,7,7,7,8,7,7,1,
3,1,1],[1,89,102,18,144,216,61,61,300,317,420,554,124,148,112,17,71,54,142,
216,63,24,102,48,93,221,330,92,138,184,72,264,424,488,600,108,164,260,228,112,
224,248,216,104,168,216,184,400,272,42,88,122,50,106,66,74,148,136,112,120,
400,24,24,88,16,1,6,3,21,55,204,7,14,168,31,9,69,276,141,294,150,13,92,17,22,
31,20,37,84,21,27,28,28,30,92,18,6,18,6,42,6,6,26,52,26,52,44,44,20,20,40,98,
42,102,74,82,50,148,148,84,88,84,120,368,122,42,84,50,42,56,112,26,86,92,336,
42,92,92,400,124,136,112,108,88,108,120,120,368,30,38,44,40,104,34,68,54,28,
40,80,66,42,52,68,88,80,30,42,68,30,38,30,92,38,76,52,72,40,56,72,56,264,216,
216,72,72,72,72,8,8,8,16,16,16,16,18,47,23,42,13,84,17,21,21,37,84,92,168,31,
20,27,22,21,28,28,30,92,22,34,34,30,44,60,68,68,10,10,10,14,38,34,34,30,52,88,
40,10,22,30,42,68,22,54,22,20,34,38,30,30,60,30,24,28,20,40,56,80,52,72,6,26,
6,26,20,27,14,22,40,15,30,11,15,22,30,44,68,34,34,60,68,30,60,28,20,36,21,44,
12,12,108,108,36,84,36,12,36,12,36,18,54,18,54,42,84,22,22,22,22,36,44,22,22,
22,22,20,44,20,20,36,10,22,18,22,18,18,18,18,18,44,44,20,56,24,28,20,12,12,28,
24,24,28,36,28,24,12,24,12,36,28,12,36,12,40,24,12,24,28,20,20,12,40,36,52,44,
44,36,52,44,44,40,40,52,52,36,44,44,44,40,44,44,52,44,36,52,20,40,40,36,44,44,
36,20,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,1,1,2,2,6,6,5,22,34,30,30,9,11,15,12,30,
30,30,34,30,14,20,9,3,9,3,21,3,18,7,5,20,9,12,10,6,18,6,18,6,6,6,15,15,11,11,
11,22,18,10,11,10,22,18,9,11,9,11,5,3,3,10,10,14,10,3,3,6,10,10,14,10,10,6,14,
12,14,10,14,14,6,6,12,21,4,4,20,20,12,20,12,20,4,36,28,12,28,4,28,12,12,12,28,
20,20,28,12,28,20,20,12,12,12,20,12,12,28,22,18,22,10,18,6,10,6,6,6,10,12,10,
10,12,18,22,18,22,10,2,2,18,26,18,44,26,44,40,18,18,18,36,18,36,2,4,4,4,4,4,4,
4,4,4,4,4,4,36,36,36,36,4,4,4,4,4,4,4,4,36,44,44,36,36,36,44,44,40,4,4,4,4,8,
4,20,20,20,4,4,4,4,4,8,4,4,4,4,4,4,8,8,1,1,5,3,3,5,5,1,1,3,10,10,10,3,10,6,18,
6,18,2,2,6,6,5,5,6,6,6,5,5,6,5,3,3,5,3,3,3,3,6,3,3,6,6,6,6,6,5,5,5,9,11,9,9,
11,5,1,14,10,6,10,6,14,10,10,6,10,6,6,12,6,10,12,6,10,6,6,6,10,2,2,2,2,2,2,18,
18,2,2,2,2,2,2,2,2,2,2,4,6,6,4,4,4,4,4,4,4,4,4,20,4,4,4,4,20,4,4,4,4,4,1,1,1,
1,1,3,3,3,3,3,3,3,3,1,1,1,3,3,5,3,3,3,3,5,1,1,1,1,1,1,1,5,1,1,1,6,6,6,6,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,45,61,60,15,15,45,36,60,60,45,
45,20,20,36,15,30,15,30,15,15,45,36,60,60,15,15,45,10,36,15,15,10,6,6,15,15,
10,6,6,1],[1,45,90,64,48,6,144,45,15,180,243,270,108,144,192,288,144,63,90,45,
90,135,270,108,360,360,108,108,216,144,432,54,108,216,64,96,36,240,24,48,144,
144,6,15,45,180,9,135,270,27,36,54,108,216,54,108,216,108,216,54,108,216,54,
64,192,72,144,144,36,72,72,144,18,45,27,36,54,108,18,108,216,27,54,108,48,24,
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],[1,21,114,16,96,14,144,168,7,21,99,324,126,36,72,144,96,384,48,96,3,42,42,
168,48,81,63,36,126,168,72,168,504,36,72,36,144,288,72,144,72,144,72,18,36,36,
72,144,64,8,112,8,12,232,24,16,32,96,48,48,96,7,14,168,21,9,63,252,126,18,9,
36,18,18,36,72,72,144,36,36,72,144,36,72,18,72,72,18,36,144,36,144,36,36,72,
72,64,48,48,24,96,48,240,48,24,24,24,24,12,24,48,48,96,21,42,9,18,36,18,36,72,
18,36,72,72,144,36,18,18,72,9,36,36,16,32,28,1,2,56,8,8,24,8,12,12,24,24,24,
24,24,12,24,24,24,1,9,18,36,9,36,18,16,32,6,12,24,12,48,3,6,24,24,24,24,12,9,
4,8,1,1,2,3,6,6,3,4,8,3,3,6,1,1],[1,117,18,112,6,81,15,396,135,270,36,216,480,
144,45,90,99,72,90,135,270,360,360,36,108,216,432,216,54,108,216,64,96,240,24,
36,48,144,144,6,9,15,45,180,135,270,9,54,54,54,108,108,216,216,54,108,54,108,
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],[1,57,54,16,96,14,168,25,21,108,153,252,270,36,36,48,16,48,288,3,
21,42,66,168,9,18,48,63,81,90,126,168,168,96,144,504,36,36,36,36,72,72,72,72,
144,18,18,18,18,18,18,144,64,8,112,8,12,232,24,16,32,48,48,7,9,36,14,168,21,
63,252,9,36,126,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,
36,36,144,36,144,18,18,36,18,18,36,64,12,12,24,48,24,120,24,24,12,96,24,48,16,
3,21,42,36,9,9,9,36,36,72,9,36,36,36,6,6,18,18,18,18,18,18,18,36,18,36,9,16,
32,28,1,2,56,8,8,24,8,12,12,24,12,24,1,18,18,18,18,9,9,16,1,3,3,12,6,12,24,24,
3,4,8,1,1,2,3,3,4,3,1,1,1],[1,57,54,112,6,72,45,33,180,153,180,342,36,36,16,
48,336,3,45,18,90,72,45,90,27,153,270,18,24,96,360,360,144,36,36,36,36,72,72,
72,72,144,18,18,18,18,18,18,144,64,96,240,24,36,48,48,48,6,15,45,180,9,9,36,
135,270,36,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,144,36,36,
144,36,144,18,36,18,18,18,36,64,12,12,24,96,48,36,72,96,72,16,18,45,3,36,9,9,
9,36,36,72,9,36,6,18,18,36,6,18,18,18,18,36,18,36,18,36,9,48,24,3,60,24,36,12,
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],[1,57,
54,64,48,6,72,45,33,180,153,180,342,36,36,16,48,192,144,3,45,18,90,72,45,90,
27,153,270,18,24,96,360,360,144,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,
144,64,96,36,240,24,48,48,48,6,15,45,180,9,9,36,135,270,36,36,9,36,9,36,18,18,
18,18,18,36,36,36,144,18,18,36,18,36,144,36,36,144,36,144,18,36,18,18,18,36,
64,12,12,24,36,72,96,48,72,96,16,18,45,3,36,9,9,9,36,36,72,9,36,6,18,18,36,6,
18,18,18,18,36,18,36,18,36,9,48,24,3,60,24,36,12,12,24,24,1,18,18,18,18,9,9,
16,1,3,12,9,12,24,24,3,12,1,3,3,3,4,3,1,1,1],[1,69,18,112,6,57,15,252,135,270,
12,72,64,240,45,90,63,24,90,135,270,360,360,12,36,72,144,72,18,36,72,64,96,
240,24,36,48,48,48,6,3,15,45,180,135,270,3,18,18,18,36,36,72,72,18,36,18,36,
72,72,64,16,96,36,24,72,72,48,18,45,3,18,18,36,18,24,72,9,18,36,48,24,3,60,24,
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],[1,45,42,64,48,6,
48,45,15,180,171,270,36,48,64,240,51,90,45,90,135,270,36,360,360,36,36,72,48,
144,18,36,72,64,96,36,240,24,48,48,48,6,15,45,180,3,135,270,9,12,18,36,72,18,
36,72,36,72,18,36,72,18,64,64,48,60,72,72,48,18,45,9,12,18,36,6,36,72,9,18,36,
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,
45,42,16,96,14,168,7,105,63,252,126,84,64,144,96,45,42,42,168,48,63,63,126,
168,168,504,84,252,126,64,8,112,8,12,232,24,48,16,32,48,3,7,14,168,21,63,252,
126,21,126,126,126,126,64,112,24,24,24,24,36,24,48,48,21,42,21,42,126,63,16,
32,28,1,2,56,12,8,8,24,8,12,12,1,21,21,16,28,3,6,6,12,3,4,8,1,1,2,3,3,4,1,3,1,
1],[1,87,36,40,6,35,198,54,72,144,24,162,184,24,168,15,18,15,18,18,36,48,36,
36,24,72,180,36,36,126,72,36,72,36,45,90,72,18,36,16,2,40,8,24,168,72,24,24,
24,1,6,9,6,18,9,18,36,36,45,9,18,18,72,36,54,72,45,9,18,18,36,18,54,18,36,36,
16,64,2,6,12,96,6,12,24,8,24,24,24,24,24,24,6,18,15,9,18,18,9,9,9,27,18,18,18,
18,9,18,18,16,8,32,2,2,6,6,12,6,6,12,24,6,6,24,9,9,9,9,9,9,9,8,8,8,16,8,2,6,6,
6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,99,112,39,210,198,480,144,15,18,33,324,
126,63,90,18,12,36,64,24,120,48,48,144,144,1,1,3,3,63,90,63,9,54,54,18,36,36,
64,96,48,288,24,24,12,144,3,21,18,9,9,9,18,27,9,18,18,48,1,5,4,8,8,12,24,24,
24,24,12,12,12,1,9,9,9,9,9,9,48,18,6,12,3,3,24,24,12,12,9,4,4,1,1,1,1,3,3,3,3,
4,4,3,3,3,3,1,1],[1,3,96,16,96,4,88,84,1,18,54,54,144,96,384,48,96,3,3,12,18,
12,18,72,216,72,54,36,18,54,9,36,36,12,18,36,64,4,4,4,20,32,48,80,16,16,16,48,
48,48,48,96,1,1,3,3,9,18,18,36,36,36,18,18,36,36,9,9,18,36,18,36,36,64,24,24,
24,72,96,48,144,12,12,12,12,12,48,48,48,3,3,18,18,9,9,9,9,18,18,9,18,18,16,16,
16,4,1,5,4,4,4,4,12,12,12,12,12,12,12,12,12,12,12,12,1,9,9,9,9,9,9,16,16,16,
12,6,18,3,3,12,12,12,12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,65,78,
6,120,45,45,180,165,300,390,60,140,80,16,5,45,30,90,120,45,90,45,165,270,30,
40,160,360,360,240,60,60,60,60,120,120,120,120,240,30,80,30,70,30,30,30,40,80,
240,80,16,48,48,6,15,45,180,15,15,60,135,270,60,60,20,15,60,15,20,60,30,30,30,
30,30,60,60,60,240,30,30,60,30,60,240,60,60,240,60,240,20,50,60,20,80,30,20,
80,30,30,60,40,40,40,16,48,48,32,32,18,45,5,60,15,15,15,60,60,120,15,60,10,30,
30,60,10,30,30,30,30,60,10,40,10,30,60,30,60,15,20,20,20,20,20,20,20,20,20,40,
16,16,16,1,30,30,30,30,10,15,5,5,10,15,10,10,10,20,20,20,20,1,16,5,5,5,10,10,
1,3,3,5,1,3,3,2,2,1,1,1,1],[1,55,66,55,55,165,55,66,110,110,55,165,66,66,66,
12,55,55,55,55,66,12,55,55,12,22,12,1,1],[1,121,55,55,165,55,66,220,55,165,
132,66,12,55,55,55,55,66,12,55,55,12,22,12,1,1],[1,21,42,64,14,168,7,21,63,
252,126,64,3,42,42,168,48,63,63,126,168,168,504,112,224,7,14,168,21,63,252,
126,64,21,42,28,56,24,48,1,1,1,1],[1,21,42,112,14,168,7,21,63,252,126,336,64,
3,42,42,168,48,63,63,126,168,168,504,56,84,112,7,14,168,21,63,252,126,64,168,
84,168,21,42,7,56,84,24,48,1,21,24,7,1,1],[1,21,42,112,14,168,7,21,63,252,126,
336,64,3,42,42,168,48,63,63,126,168,168,504,28,28,84,112,7,14,168,21,63,252,
126,64,84,84,84,168,21,42,7,28,84,28,24,48,1,21,24,7,1,1],[1,91,112,63,238,
210,224,112,64,7,8,105,336,126,63,84,14,28,56,112,112,7,63,84,63,84,42,64,112,
56,56,56,28,56,56,21,28,7,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,49,42,
112,14,28,21,21,28,63,126,42,84,84,112,112,112,64,1,42,7,63,7,42,42,42,84,84,
84,84,21,21,42,21,42,14,56,28,84,28,112,7,21,21,21,42,42,42,21,21,21,42,42,64,
28,28,56,28,28,28,28,56,28,28,28,56,7,21,21,7,21,21,21,7,28,28,28,8,21,7,7,7,
7,8,8,8,7,7,1],[1,91,112,35,266,210,224,112,64,1,14,105,252,210,21,126,14,140,
56,112,7,21,126,21,126,42,64,56,168,56,28,56,56,7,42,7,21,42,7,28,56,8,21,14,
7,7,16,8,7,7,1],[1,75,36,40,45,120,90,180,36,160,120,30,45,180,90,90,45,45,90,
10,36,36,36,30,120,45,45,45,90,90,10,40,36,72,60,30,45,30,20,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,15,108,4,90,16,120,60,5,180,90,120,6,10,40,330,60,90,
15,60,45,120,180,90,90,45,90,40,6,18,18,1,20,25,80,60,20,30,10,30,90,60,90,60,
30,30,24,5,45,90,45,90,40,40,40,6,18,18,36,36,10,60,90,120,60,15,15,30,10,60,
30,30,30,30,30,24,45,20,10,40,6,18,18,5,5,5,5,15,15,15,15,30,1,6,24,10,10,20,
10,18,15,15,15,15,3,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,129,78,64,18,48,168,85,
33,540,369,252,666,108,252,48,192,64,192,3,87,42,174,168,99,72,126,48,63,225,
450,36,126,168,168,552,648,504,108,108,108,324,48,360,216,504,360,216,432,144,
54,54,54,162,126,54,108,72,360,432,72,72,96,240,64,192,192,6,9,21,63,252,3,14,
168,21,63,252,153,342,126,27,108,27,12,27,108,27,90,108,18,18,18,54,108,108,
162,54,54,54,54,108,108,108,108,72,432,54,54,108,54,162,108,432,126,108,108,
432,108,72,180,360,360,432,54,36,72,18,36,18,54,36,108,72,18,90,180,54,90,54,
180,18,36,216,216,216,216,216,216,48,64,48,288,96,48,96,64,18,51,21,42,27,108,
27,27,27,108,108,216,27,12,27,90,108,6,18,18,54,36,108,108,36,6,18,18,18,54,
54,54,54,36,72,54,54,90,180,18,18,18,18,36,90,72,216,18,54,45,90,27,18,54,36,
108,18,54,108,36,18,36,108,27,36,36,108,108,36,108,54,54,54,54,108,108,54,54,
54,54,54,54,108,24,36,36,36,72,36,72,36,36,36,72,36,72,108,108,108,108,108,
108,108,108,108,108,108,108,24,60,32,48,48,96,48,96,1,1,6,18,9,18,54,54,54,45,
36,18,54,18,18,18,9,9,3,18,27,36,18,54,6,18,9,27,27,27,54,54,27,27,18,18,18,
18,18,18,36,27,36,36,36,36,36,36,36,36,54,54,18,18,36,54,54,54,54,108,54,54,
108,108,108,108,108,108,108,4,24,36,48,12,48,24,24,3,9,3,9,18,54,9,9,18,9,9,9,
27,27,18,18,18,18,36,18,18,54,1,4,12,12,24,24,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,
1],[1,81,126,64,18,144,312,49,117,180,225,612,522,156,108,144,64,192,192,45,
45,78,126,312,45,90,48,117,225,270,36,162,216,72,360,360,360,792,156,108,468,
108,144,288,216,216,216,216,216,432,144,54,216,234,54,54,54,54,108,72,144,432,
72,72,112,224,64,192,192,3,6,21,45,180,14,168,39,9,81,324,135,270,198,108,39,
54,27,108,27,27,36,108,18,18,18,54,108,108,54,54,234,54,54,54,108,108,108,216,
108,432,234,54,108,54,72,144,54,108,432,108,108,432,72,144,108,216,108,432,54,
18,72,72,54,108,162,36,144,162,18,36,36,144,54,18,18,36,54,108,108,72,72,216,
216,216,216,112,48,96,192,48,96,96,64,18,45,27,42,108,39,27,27,27,108,108,216,
27,54,27,36,108,54,54,54,36,36,108,18,6,6,18,18,18,18,36,72,18,18,18,54,162,
54,54,54,54,54,108,36,72,72,144,108,18,54,81,18,54,72,27,18,36,54,18,36,108,
54,108,36,36,27,36,36,108,108,36,108,54,54,54,54,54,54,108,108,54,54,54,54,
108,24,36,36,36,72,72,36,36,36,36,72,36,72,108,108,108,108,108,108,108,108,
108,108,108,108,28,56,32,48,48,48,96,96,1,1,6,18,18,18,18,27,27,54,18,54,54,
54,18,36,9,9,21,9,36,18,18,54,6,18,27,9,27,54,54,27,27,27,18,18,18,18,18,18,
36,27,36,36,36,36,36,36,36,36,54,54,18,18,36,54,54,54,108,54,54,54,108,108,
108,108,108,108,108,28,12,24,48,12,48,24,24,3,9,9,3,18,54,9,9,18,9,9,9,27,27,
18,18,18,36,18,18,18,54,1,4,12,12,24,24,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,
81,126,64,42,48,504,57,85,180,297,756,594,156,108,144,64,192,192,21,45,126,
198,504,45,90,144,189,297,270,12,378,504,24,504,360,360,1512,156,108,324,108,
144,288,216,216,72,216,216,432,144,54,72,162,54,54,54,54,36,72,144,432,24,24,
48,16,32,48,64,192,192,1,6,33,45,180,42,504,63,3,189,756,135,270,378,108,21,
18,27,108,27,9,36,108,6,6,6,18,36,36,54,54,126,54,54,54,108,36,108,72,108,432,
162,54,108,54,72,144,18,108,432,108,108,432,72,144,36,72,108,432,18,54,72,72,
54,108,126,36,144,162,54,36,108,144,54,54,54,108,54,108,36,72,72,72,72,72,72,
16,48,96,48,48,48,48,96,48,96,48,48,96,96,64,96,96,18,45,63,126,108,21,27,27,
27,108,108,216,9,18,27,36,108,54,54,54,108,108,108,18,18,18,54,54,54,54,36,72,
6,54,54,18,126,18,54,54,54,54,108,36,72,72,144,36,6,18,63,18,18,72,9,54,108,
54,54,108,108,54,108,36,36,27,12,12,36,36,12,36,18,18,18,18,18,18,36,36,18,18,
18,18,36,72,36,36,36,72,72,36,36,36,36,72,36,72,36,36,36,36,36,36,36,36,36,36,
36,36,4,16,32,48,48,48,96,48,48,48,48,96,48,96,96,96,96,1,3,2,6,54,54,54,21,9,
54,54,54,54,54,18,36,3,3,21,9,36,18,6,18,18,6,27,27,9,18,18,9,9,9,18,18,18,18,
18,18,36,27,36,36,36,36,36,36,36,36,18,18,18,18,36,18,18,18,36,18,18,18,36,36,
36,36,36,36,36,4,12,12,12,12,16,48,48,3,9,9,9,6,18,9,9,18,9,9,27,9,9,18,18,18,
36,18,18,18,18,4,8,24,12,12,12,12,12,12,12,12,24,1,3,3,9,9,9,9,4,12,12,3,1,
1],[1,129,78,64,26,16,168,133,57,588,441,252,882,108,252,48,192,64,192,3,135,
42,294,168,147,24,270,48,63,441,810,12,126,168,168,1080,1080,504,108,108,108,
180,48,360,216,360,360,216,432,144,54,54,54,90,126,54,36,72,216,432,24,24,32,
16,48,48,64,192,192,18,3,49,135,540,1,14,168,21,63,252,405,810,126,9,108,9,12,
27,108,27,54,108,6,6,6,18,36,36,90,54,54,54,54,108,36,108,108,72,432,54,54,
108,54,54,108,432,90,108,108,432,36,72,180,216,216,432,54,36,72,54,108,54,54,
36,108,72,54,90,108,54,54,18,180,54,108,216,216,72,72,72,72,48,16,48,48,48,48,
96,96,48,96,48,48,96,96,64,96,96,54,135,21,42,9,108,27,27,27,108,108,216,9,12,
27,54,108,18,54,54,18,36,108,108,108,18,18,6,18,54,54,54,54,36,72,18,54,90,
108,54,54,54,54,108,54,72,216,6,18,27,54,9,18,54,36,108,54,54,108,108,54,108,
108,27,12,12,36,36,12,36,18,18,18,18,36,36,18,18,18,18,18,18,36,72,36,36,36,
72,36,72,36,36,36,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,48,48,
48,96,48,96,48,48,48,48,96,96,96,96,3,1,2,6,3,18,54,54,54,27,36,54,54,54,54,
54,3,3,3,18,27,36,6,18,18,6,27,27,9,9,18,18,9,9,18,18,18,18,18,18,36,27,36,36,
36,36,36,36,36,36,18,18,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,36,4,
12,12,12,12,16,48,48,3,9,9,9,6,18,9,9,18,9,9,27,9,9,18,18,18,18,36,18,18,18,4,
8,24,12,12,12,12,12,12,12,12,24,1,3,3,9,9,9,9,4,12,12,3,1,1],[1,81,126,64,14,
304,168,25,105,156,333,468,414,156,108,144,64,192,192,45,57,42,66,168,21,24,
18,48,117,117,90,228,126,168,168,312,96,240,504,156,252,468,252,144,288,216,
144,144,72,72,144,288,432,18,72,234,54,126,18,126,252,216,144,72,288,24,168,
112,224,64,192,192,3,3,7,21,36,19,14,168,39,21,63,252,9,36,126,21,36,39,18,63,
36,63,36,9,63,36,84,18,72,42,6,42,126,6,18,36,36,72,36,36,36,36,72,126,18,234,
126,126,18,252,252,36,72,36,216,144,234,18,36,54,126,72,144,36,126,36,144,18,
72,72,288,252,216,144,252,72,36,72,72,288,54,18,36,72,72,18,36,126,36,72,144,
126,18,36,36,72,144,18,36,18,18,18,36,36,72,72,72,72,168,504,504,504,72,72,
112,48,96,192,48,96,96,64,3,21,42,21,36,39,9,9,63,36,36,72,63,36,63,18,9,84,
36,18,72,42,18,18,18,36,36,36,36,6,6,6,18,18,18,18,36,72,72,18,18,18,18,36,18,
126,18,36,18,36,18,36,36,72,72,144,72,36,6,18,36,63,18,18,72,9,18,9,9,18,18,
36,36,18,18,36,36,36,36,9,84,12,252,252,252,36,12,36,18,126,126,126,252,18,18,
18,18,36,36,18,18,18,18,36,36,36,36,18,18,18,18,18,18,36,36,36,168,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,36,36,36,72,72,72,72,36,36,36,
72,36,36,36,36,36,36,36,72,72,36,36,36,36,28,56,16,48,96,48,96,1,2,6,3,18,18,
18,18,21,9,9,18,18,18,36,21,21,3,63,21,9,36,18,6,18,6,9,9,9,9,18,18,9,18,18,
18,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,9,12,36,36,36,36,36,36,
36,36,12,36,36,36,36,36,36,36,36,36,36,84,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,72,18,18,36,36,36,36,36,36,36,36,36,72,36,36,36,28,12,24,48,12,
16,24,24,3,3,9,3,3,18,18,18,9,18,6,18,6,18,9,9,18,9,9,9,9,18,18,18,9,9,9,9,9,
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],[1,81,126,64,6,336,72,57,49,252,405,324,486,156,
108,144,64,192,192,15,99,18,90,72,63,24,90,63,189,270,252,18,24,168,192,360,
504,144,84,324,324,396,144,288,144,216,72,144,144,72,288,432,18,72,126,18,162,
54,126,324,216,144,72,288,24,168,96,240,64,192,192,1,6,3,15,63,180,21,21,21,9,
36,135,270,36,21,72,21,18,81,36,63,36,9,63,36,84,18,36,42,42,6,126,6,36,72,18,
36,36,36,36,36,72,126,18,126,126,162,54,252,324,36,72,36,216,288,126,18,36,18,
126,72,144,18,162,72,144,36,36,36,288,324,216,144,252,72,72,72,72,144,18,36,
108,216,18,36,18,36,72,18,54,108,36,216,18,18,72,54,54,72,18,36,36,72,72,72,
168,504,504,504,72,72,16,192,144,96,96,48,96,64,18,45,3,21,36,21,9,9,63,36,72,
72,81,36,63,18,9,84,36,18,36,6,18,18,54,108,36,36,6,18,18,36,18,18,108,216,6,
18,18,72,18,18,18,36,18,18,18,18,36,18,24,36,36,72,36,72,6,18,36,36,9,18,18,9,
18,9,27,54,108,36,18,18,36,18,36,36,36,9,84,12,252,252,36,252,12,36,126,18,
126,126,252,18,18,18,18,36,18,18,18,18,36,36,36,36,36,18,18,18,18,18,18,36,36,
36,168,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,72,36,36,72,
72,36,36,36,36,36,36,72,36,36,72,36,72,36,72,72,36,36,36,36,24,60,16,48,96,48,
96,1,2,6,9,54,18,3,9,9,12,18,18,18,18,18,21,3,21,63,9,54,9,12,6,18,6,9,9,9,9,
18,18,18,9,18,18,9,9,9,9,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,9,12,36,
36,36,36,36,12,36,36,36,36,36,36,36,36,36,36,36,36,36,84,18,18,18,18,18,18,18,
18,18,18,18,18,36,18,36,18,36,72,18,18,36,36,36,36,36,36,36,36,36,72,36,36,36,
12,72,12,16,12,16,24,24,3,9,3,3,3,9,18,18,18,18,6,18,6,18,18,9,9,9,9,9,9,18,
18,18,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,24,
24,1,9,9,9,9,9,9,18,18,3,1,3,12,3,1,3,3,1],[1,57,102,64,14,112,216,25,21,156,
177,348,270,108,84,144,128,192,3,21,54,66,168,21,24,18,48,75,81,90,36,138,168,
48,168,96,144,552,36,60,84,132,96,288,72,144,120,72,120,144,288,96,30,96,30,
42,78,30,18,108,120,96,72,192,24,24,24,48,32,16,48,48,64,64,64,3,7,9,36,1,14,
168,21,6,69,252,9,36,126,9,36,24,21,12,9,36,15,6,24,18,48,6,6,6,6,6,18,60,6,
12,24,36,24,54,30,12,30,18,30,36,60,60,96,36,192,18,30,36,18,72,96,30,54,60,
192,18,72,48,144,36,48,96,24,96,36,72,72,144,12,42,12,48,96,18,12,12,24,24,96,
6,30,36,36,48,96,12,18,60,18,18,30,36,24,36,48,72,72,72,72,72,72,72,24,24,24,
48,48,48,48,64,32,32,32,48,96,48,48,96,96,96,96,64,3,21,42,9,36,15,9,9,48,36,
72,9,6,24,9,24,18,36,12,18,36,36,12,6,6,6,18,18,30,18,24,48,30,18,18,36,18,6,
12,12,12,18,36,12,48,48,96,24,6,6,6,18,12,12,48,9,18,6,15,6,18,24,36,6,18,36,
12,24,24,9,12,12,12,36,36,36,12,36,18,18,18,6,30,18,36,36,18,30,6,12,12,12,12,
18,18,6,6,6,18,18,36,12,12,12,12,24,24,12,36,12,12,24,24,12,12,24,36,36,36,36,
12,12,12,24,12,12,24,36,36,36,36,36,60,24,36,36,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,24,48,4,16,32,48,48,16,16,16,32,16,32,16,16,32,32,96,96,1,2,6,3,
18,18,18,6,9,6,18,12,24,3,3,3,6,6,24,12,6,18,6,9,15,9,6,6,6,18,18,9,9,3,3,9,6,
6,6,6,12,6,6,9,12,12,12,12,12,12,12,12,12,12,12,12,6,18,18,6,12,6,6,18,18,6,6,
18,18,12,12,36,18,18,36,6,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,
12,36,36,36,36,12,12,12,12,12,12,12,12,12,12,8,12,12,12,16,32,16,16,32,6,3,3,
3,6,6,18,6,3,3,3,3,6,9,9,3,3,6,6,6,12,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,4,8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,
1],[1,105,54,64,6,48,72,69,49,372,153,180,390,60,228,48,128,192,15,45,18,90,
72,81,48,102,27,153,282,12,18,24,24,96,408,360,144,60,36,108,108,336,72,72,
312,240,120,192,96,30,120,54,54,54,90,18,36,24,48,192,192,24,24,24,48,48,16,
32,48,64,64,64,1,6,6,15,45,180,9,3,9,36,141,270,36,6,48,9,30,9,36,15,9,12,48,
36,6,6,6,6,6,6,12,18,36,60,24,24,54,30,54,18,18,18,36,36,36,72,36,24,144,54,
30,60,54,18,36,48,192,78,36,36,144,36,72,120,192,192,192,54,30,60,18,12,24,48,
18,6,12,12,24,48,18,42,84,12,36,12,72,18,36,36,144,144,72,72,72,72,72,72,24,
24,24,48,48,48,48,32,32,32,64,48,96,48,48,96,96,96,96,64,18,45,3,6,48,9,9,9,9,
36,36,72,9,18,15,48,36,6,18,18,6,12,12,12,36,6,18,12,12,36,72,18,18,18,12,30,
18,18,18,36,42,48,36,144,6,18,6,6,9,6,18,24,18,36,15,18,6,12,36,18,36,72,9,12,
12,12,36,36,36,12,36,18,18,18,30,30,6,6,12,12,18,18,12,36,12,36,18,6,18,18,18,
6,6,36,12,12,12,24,12,24,36,12,24,12,12,12,12,24,36,36,12,12,24,36,36,36,36,
36,60,36,36,24,12,12,12,24,24,12,36,36,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,48,4,16,32,48,48,16,16,16,32,16,16,16,32,32,32,96,96,1,2,6,3,9,18,24,18,6,
18,18,18,3,3,3,18,24,6,6,18,6,9,9,18,18,6,15,6,6,3,9,9,9,3,6,6,6,6,6,6,12,9,
12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,12,18,6,18,6,6,12,18,36,18,12,
18,18,36,6,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,36,36,36,36,12,12,
12,12,12,12,12,12,12,12,12,12,8,12,12,12,16,16,16,32,32,6,3,3,3,6,6,18,6,3,3,
3,3,6,3,9,9,3,6,6,6,12,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,4,
8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,57,70,64,
14,48,168,13,105,36,105,324,222,156,84,112,64,64,64,45,7,42,50,168,3,6,48,81,
81,30,12,126,168,24,216,32,48,504,108,36,324,36,48,96,72,48,48,24,48,96,48,6,
24,162,18,42,30,18,84,120,144,48,192,24,48,112,224,64,64,64,3,7,3,12,14,168,
27,3,63,252,3,12,126,36,27,6,12,16,9,12,3,9,36,12,24,6,24,24,12,24,12,24,24,
18,6,162,18,18,6,36,36,12,24,12,48,162,6,12,18,24,48,12,12,48,24,24,96,24,48,
36,24,12,96,18,6,24,24,72,6,12,126,36,48,126,18,36,12,48,48,18,6,12,12,36,12,
24,24,24,24,24,24,72,72,24,24,24,112,16,32,64,16,32,32,64,1,21,42,12,27,3,3,9,
12,12,24,9,6,3,12,24,42,6,6,12,12,12,2,2,6,6,6,6,12,24,6,6,6,6,126,6,6,12,12,
24,24,48,24,12,63,18,6,24,6,3,6,12,6,24,12,6,18,12,12,12,12,12,3,12,36,18,6,6,
6,6,12,12,6,12,12,12,24,12,12,36,24,12,12,24,12,12,24,12,36,24,24,24,24,12,12,
48,24,24,12,12,12,12,12,12,12,12,12,24,28,56,16,32,16,16,32,1,6,6,6,21,3,6,6,
6,12,3,1,6,21,3,12,3,6,3,3,6,3,6,3,6,6,18,3,3,12,6,12,6,6,12,6,6,3,12,12,12,
12,6,6,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,12,12,12,12,24,12,12,28,4,8,16,4,8,
8,16,3,3,1,3,3,3,3,3,3,6,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,
3,3,1,1,1,4,3,1,1,1,1],[1,73,54,64,6,48,24,57,21,252,225,60,342,76,132,144,64,
64,64,1,63,6,90,24,63,24,90,9,153,270,36,6,8,32,360,408,48,36,60,60,156,48,96,
72,144,96,24,96,144,6,48,42,30,66,42,18,60,216,96,72,192,24,48,96,240,64,64,
64,6,3,15,51,180,3,3,3,12,135,270,12,9,24,4,12,15,36,9,12,3,24,18,36,6,12,24,
24,24,12,24,24,54,6,18,30,18,36,60,12,12,72,96,18,6,12,6,66,24,48,36,12,12,96,
60,72,48,72,72,48,12,12,60,24,72,18,12,12,24,48,18,18,60,12,72,48,6,18,48,30,
18,48,6,36,72,24,72,72,72,24,24,24,16,64,48,96,32,16,32,64,18,45,1,9,12,3,3,9,
12,24,24,15,12,3,18,12,2,6,6,18,36,12,12,2,6,6,12,6,6,36,72,6,18,48,6,6,6,6,
12,18,24,72,12,6,12,24,9,18,6,9,30,36,12,18,6,12,6,12,12,36,3,12,36,18,6,6,12,
6,6,12,12,6,12,12,24,24,36,12,12,12,12,12,36,12,24,24,12,24,24,12,12,24,24,48,
12,12,24,12,24,12,12,12,12,12,12,24,24,60,16,32,16,32,16,1,3,18,6,9,12,6,6,6,
6,3,3,18,1,3,9,12,6,3,3,3,6,3,6,6,3,3,6,12,6,12,6,12,18,6,6,6,3,12,12,12,12,6,
6,6,6,6,6,6,6,6,6,12,12,6,12,12,12,12,12,12,12,12,24,12,12,4,24,12,16,4,8,8,
16,3,3,1,3,3,3,3,3,3,6,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,
3,1,1,1,4,3,1,1,1,1],[1,57,102,64,18,144,168,49,33,180,261,300,378,108,84,144,
128,192,3,57,42,126,168,45,90,48,75,189,270,84,126,168,48,168,360,360,504,36,
156,132,180,144,192,72,120,96,72,120,144,336,18,48,30,42,54,18,42,108,168,96,
144,24,48,96,240,64,64,64,6,21,45,180,6,14,168,21,6,63,252,135,270,126,36,12,
18,24,9,36,9,6,24,12,36,6,12,12,24,18,18,12,30,54,18,60,84,36,48,36,144,144,
18,18,36,18,30,48,96,24,36,36,144,60,36,144,96,168,96,48,48,36,144,12,18,72,
48,168,30,36,24,24,96,18,54,84,36,144,96,18,18,18,36,36,18,60,24,48,48,24,24,
48,48,24,24,24,128,96,96,48,96,64,18,45,21,42,36,9,9,9,36,36,72,18,24,6,12,9,
12,24,36,6,18,30,36,72,36,36,36,6,6,18,18,18,18,18,84,144,48,18,18,12,12,18,
18,18,18,36,24,12,48,48,96,24,12,12,12,48,6,18,36,18,72,36,18,18,36,36,18,36,
24,24,9,12,12,24,6,12,12,12,12,6,12,24,12,24,12,12,12,12,12,12,12,12,24,24,12,
24,24,24,12,24,24,12,12,12,12,12,12,24,24,60,32,48,16,32,32,16,1,1,6,36,18,18,
18,6,18,18,18,18,18,12,24,3,6,36,6,24,12,6,9,9,6,6,3,3,3,6,6,3,3,6,6,6,6,9,12,
24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,12,12,12,12,12,12,12,12,24,24,24,8,48,
12,24,24,32,16,6,6,3,3,6,6,3,3,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,
3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,57,102,64,18,144,168,49,33,180,261,300,378,
108,84,144,128,192,3,57,42,126,168,45,90,48,75,189,270,84,126,168,48,168,360,
360,504,36,156,132,180,144,192,72,120,96,72,120,144,336,18,48,30,42,54,18,42,
108,168,96,144,24,48,112,224,64,64,64,6,21,45,180,6,14,168,21,6,63,252,135,
270,126,36,12,18,24,9,36,9,6,24,12,36,6,12,12,24,18,18,12,30,54,18,60,84,36,
48,36,144,144,18,18,36,18,30,48,96,24,36,36,144,60,36,144,96,168,96,48,48,36,
144,12,18,72,48,168,30,36,24,24,96,18,54,84,36,144,96,18,18,18,36,36,18,60,24,
48,48,24,24,48,48,24,24,24,32,64,128,48,96,96,64,18,45,21,42,36,9,9,9,36,36,
72,18,24,6,12,9,12,24,36,6,18,30,36,72,36,36,36,6,6,18,18,18,18,18,84,144,48,
18,18,12,12,18,18,18,18,36,24,12,48,48,96,24,12,12,12,48,6,18,36,18,72,36,18,
18,36,36,18,36,24,24,9,12,12,24,6,12,12,12,12,6,12,24,12,24,12,12,12,12,12,12,
12,12,24,24,12,24,24,24,12,24,24,12,12,12,12,12,12,24,28,56,32,48,16,32,16,32,
1,1,6,36,18,18,18,6,18,18,18,18,18,12,24,3,6,36,6,24,12,6,9,9,6,6,3,3,3,6,6,3,
3,6,6,6,6,9,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,12,12,12,12,12,12,12,12,
24,24,24,8,16,32,12,24,24,16,32,6,6,3,3,6,6,3,3,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,65,78,64,6,144,72,49,49,204,
237,228,390,76,60,48,320,15,63,18,90,72,51,8,90,39,165,270,92,18,24,72,128,
360,408,144,52,132,180,156,48,96,96,120,72,48,96,72,192,144,18,72,78,18,66,30,
54,132,72,48,24,192,24,72,48,16,32,48,64,64,64,1,6,1,15,51,180,7,13,9,9,36,
135,270,36,7,48,13,18,27,12,27,36,9,27,12,28,6,36,14,18,6,42,6,12,24,18,36,36,
12,12,12,24,54,18,78,54,66,30,108,132,36,72,36,72,192,78,18,36,18,42,24,48,18,
54,48,144,12,36,36,192,108,72,48,108,72,48,24,24,144,18,12,36,72,18,36,18,12,
24,18,18,36,12,72,18,6,24,18,18,24,18,36,36,24,24,24,56,216,216,168,72,72,80,
96,48,48,32,96,32,96,96,96,64,18,45,3,7,36,13,9,9,27,36,48,72,27,12,27,18,9,
28,12,6,36,6,18,18,18,36,12,36,6,6,6,12,6,6,36,72,6,6,6,24,18,18,18,12,18,18,
18,18,36,6,8,12,12,24,36,24,6,18,12,12,9,6,18,3,6,9,9,18,36,12,18,6,36,18,36,
12,12,9,36,12,84,108,36,84,12,36,54,18,42,42,84,18,18,6,6,12,6,6,18,18,12,36,
12,12,36,6,18,6,18,18,18,12,36,12,56,12,12,12,12,12,12,12,12,12,12,12,24,12,
12,12,36,36,12,12,24,36,36,24,24,36,36,36,36,36,36,24,12,12,24,12,24,12,24,24,
36,12,36,12,4,16,16,32,16,48,48,16,16,16,16,32,96,96,32,1,2,6,3,18,6,3,9,3,4,
18,18,18,18,6,9,3,7,21,3,18,3,4,6,18,6,9,3,3,9,18,18,6,9,6,6,3,9,9,3,6,6,6,3,
3,6,6,6,6,6,6,6,6,6,6,9,4,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,
12,12,28,18,18,6,6,6,6,6,6,18,6,18,6,12,18,36,18,12,24,18,18,36,36,36,36,36,
36,36,12,12,24,12,12,12,12,12,12,8,16,16,16,32,1,3,1,3,1,3,6,6,6,6,6,18,2,6,6,
3,3,3,3,3,3,6,6,6,3,3,3,3,9,9,3,6,6,6,6,6,6,6,6,6,6,18,6,12,12,4,8,24,4,4,4,
12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,65,78,64,14,112,168,25,49,
156,213,324,318,76,60,48,320,17,33,42,66,168,21,24,18,48,81,93,90,84,126,168,
56,216,96,176,504,76,108,180,156,48,96,120,96,48,72,72,96,192,144,18,24,90,30,
78,18,54,108,72,48,72,192,24,72,32,16,48,48,64,64,64,1,3,7,13,36,7,14,168,27,
7,63,252,9,36,126,13,36,13,6,27,12,27,36,9,21,12,28,18,48,18,6,14,42,6,18,36,
12,24,12,36,12,12,24,78,18,78,54,54,18,108,108,36,24,36,72,144,90,18,36,30,42,
24,48,12,78,36,144,18,48,48,192,108,72,48,84,24,36,72,72,192,18,18,12,24,24,6,
12,42,12,24,48,42,18,12,36,24,48,18,36,18,18,18,36,12,24,24,24,24,56,216,168,
216,72,72,48,96,32,80,48,96,32,96,96,96,64,3,21,42,13,36,13,9,9,27,36,36,72,
27,12,21,6,9,28,12,18,48,14,6,6,18,12,36,36,12,6,6,6,18,18,18,18,12,24,24,6,
18,18,18,36,6,42,6,12,6,12,18,12,12,24,24,48,24,12,6,18,12,21,6,6,24,9,18,3,9,
6,18,12,36,6,18,36,12,12,12,9,36,12,108,84,84,36,12,36,18,42,54,42,84,6,6,18,
18,36,36,18,18,6,6,12,12,12,12,6,6,18,18,18,18,36,12,12,56,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,36,36,36,36,12,12,24,24,24,24,12,12,12,24,36,36,
36,36,36,36,12,24,24,36,12,36,12,4,16,16,32,48,16,16,48,16,16,16,96,96,32,32,
1,2,6,3,6,18,18,18,7,3,9,18,6,6,12,7,9,3,21,7,3,12,6,6,18,6,9,9,9,3,6,6,3,6,
18,18,9,9,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,4,12,12,12,12,12,12,12,12,4,12,
12,12,12,12,12,12,12,12,12,28,6,18,6,18,6,6,6,6,18,18,6,6,18,18,12,12,36,24,
18,18,36,36,36,12,12,36,36,36,36,24,12,12,12,12,12,12,8,16,16,16,32,1,1,3,3,1,
6,6,6,3,6,6,18,2,6,3,3,6,3,3,3,3,6,6,6,3,3,3,9,9,3,3,6,6,6,6,6,6,6,6,6,6,18,6,
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],[1,97,78,
64,6,144,24,69,21,372,213,108,342,124,156,144,128,128,64,1,57,6,90,24,81,48,
102,21,141,282,84,6,8,48,32,408,360,48,36,132,108,228,96,96,192,24,312,192,72,
192,384,18,42,18,78,78,30,108,168,96,192,96,24,24,96,240,64,64,64,6,6,15,45,
180,6,3,6,3,12,141,270,12,6,24,4,18,24,3,12,9,6,24,12,48,12,6,6,6,6,12,24,24,
12,12,48,42,18,12,18,42,6,36,84,12,12,168,48,6,18,36,18,30,24,48,72,24,96,78,
12,36,48,96,144,48,48,96,192,192,96,72,24,144,6,12,12,24,48,18,42,84,12,168,6,
42,84,12,36,48,72,30,12,24,144,24,24,144,24,24,48,48,72,72,32,128,96,192,32,
16,32,64,18,45,1,6,24,3,3,3,12,12,24,18,24,6,9,12,12,48,12,2,18,6,42,84,12,12,
12,2,12,72,144,12,12,36,72,12,24,6,6,6,6,12,42,48,12,12,24,144,6,6,12,6,12,18,
36,18,36,72,6,6,12,12,6,12,12,12,72,3,12,12,12,24,36,18,6,12,6,6,12,12,12,12,
24,24,12,6,6,6,6,12,24,24,12,12,24,24,24,12,24,12,12,12,12,12,12,24,12,12,12,
24,48,12,12,24,24,24,24,48,12,12,12,24,24,12,24,24,12,12,24,60,16,16,32,32,16,
1,6,36,18,24,6,6,6,6,6,6,3,3,6,36,1,3,18,24,3,6,12,6,6,6,3,3,6,12,3,3,6,6,6,6,
6,6,6,6,6,6,12,3,12,12,24,12,12,12,12,12,12,24,12,24,12,6,6,6,6,6,6,12,6,6,12,
12,24,12,12,24,12,12,24,12,12,24,8,48,24,32,4,8,8,16,6,6,1,6,6,6,6,3,3,3,3,6,
6,3,3,6,6,6,6,6,6,12,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[
1,33,142,64,14,240,216,13,21,36,189,396,174,60,156,208,256,64,3,19,54,50,168,
3,6,48,87,69,30,108,138,168,96,168,32,48,552,12,108,108,84,192,480,24,240,216,
72,144,96,288,18,144,30,54,18,42,30,84,168,192,48,96,24,24,112,224,64,64,64,7,
3,12,6,14,168,21,12,69,252,3,12,126,12,36,6,16,3,12,9,12,48,12,12,24,6,6,6,6,
12,24,24,12,12,48,6,18,24,30,18,42,36,60,36,144,12,72,96,6,18,12,6,30,120,192,
54,12,12,96,72,24,48,48,144,192,72,144,12,48,24,6,24,96,96,30,12,12,48,48,192,
6,6,60,36,24,192,12,18,6,36,12,48,60,24,96,120,24,24,24,48,48,72,72,64,128,
256,16,32,32,64,1,21,42,12,9,3,3,24,12,24,6,12,12,36,3,12,48,12,24,12,12,12,
12,2,12,2,6,18,6,6,48,24,96,6,6,30,6,12,12,12,12,60,24,96,96,192,48,6,6,12,24,
24,96,6,12,12,6,12,12,6,6,12,12,48,48,12,3,12,12,12,36,24,18,6,12,6,12,12,6,
24,12,12,24,12,6,6,6,6,12,12,12,24,12,24,24,12,12,24,24,12,12,12,24,12,48,24,
12,24,12,12,24,12,12,24,24,12,24,12,12,24,24,24,12,24,48,12,12,28,56,16,32,16,
32,16,1,6,6,6,6,12,6,6,24,48,3,3,1,12,48,3,24,3,6,6,6,6,12,3,3,3,3,6,6,6,6,6,
6,6,12,12,6,6,6,6,3,12,24,12,12,12,12,12,12,12,24,24,12,12,6,6,6,6,6,12,6,6,6,
12,12,24,12,12,24,12,12,24,24,12,12,16,32,64,4,8,8,16,12,1,6,6,6,6,3,3,3,3,6,
6,3,3,6,6,6,6,6,12,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,4,1,4,3,1,1,1,1],[1,
105,54,64,6,48,72,69,49,372,153,180,390,60,228,48,128,192,15,45,18,90,72,81,
48,102,27,153,282,12,18,24,24,96,408,360,144,60,36,108,108,336,72,72,312,240,
120,192,96,30,120,54,54,54,90,18,36,24,48,192,192,24,24,24,48,96,240,64,64,64,
1,6,6,15,45,180,9,3,9,36,141,270,36,6,48,9,30,9,36,15,9,12,48,36,6,6,6,6,6,6,
12,18,36,60,24,24,54,30,54,18,18,18,36,36,36,72,36,24,144,54,30,60,54,18,36,
48,192,78,36,36,144,36,72,120,192,192,192,54,30,60,18,12,24,48,18,6,12,12,24,
48,18,42,84,12,36,12,72,18,36,36,144,144,72,72,72,72,72,72,24,24,24,48,48,48,
48,32,192,96,48,96,64,18,45,3,6,48,9,9,9,9,36,36,72,9,18,15,48,36,6,18,18,6,
12,12,12,36,6,18,12,12,36,72,18,18,18,12,30,18,18,18,36,42,48,36,144,6,18,6,6,
9,6,18,24,18,36,15,18,6,12,36,18,36,72,9,12,12,12,36,36,36,12,36,18,18,18,30,
30,6,6,12,12,18,18,12,36,12,36,18,6,18,18,18,6,6,36,12,12,12,24,12,24,36,12,
24,12,12,12,12,24,36,36,12,12,24,36,36,36,36,36,60,36,36,24,12,12,12,24,24,12,
36,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,24,60,16,16,32,32,16,1,2,6,
3,9,18,24,18,6,18,18,18,3,3,3,18,24,6,6,18,6,9,9,18,18,6,15,6,6,3,9,9,9,3,6,6,
6,6,6,6,12,9,12,12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,12,18,6,18,6,6,
12,18,36,18,12,18,18,36,6,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,36,
36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,24,32,12,24,24,16,6,3,3,3,6,6,18,
6,3,3,3,3,6,3,9,9,3,6,6,6,12,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,1,8,4,12,4,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,57,102,64,14,
112,216,25,21,156,177,348,270,108,84,144,128,192,3,21,54,66,168,21,24,18,48,
75,81,90,36,138,168,48,168,96,144,552,36,60,84,132,96,288,72,144,120,72,120,
144,288,96,30,96,30,42,78,30,18,108,120,96,72,192,24,24,24,48,112,224,64,64,
64,3,7,9,36,1,14,168,21,6,69,252,9,36,126,9,36,24,21,12,9,36,15,6,24,18,48,6,
6,6,6,6,18,60,6,12,24,36,24,54,30,12,30,18,30,36,60,60,96,36,192,18,30,36,18,
72,96,30,54,60,192,18,72,48,144,36,48,96,24,96,36,72,72,144,12,42,12,48,96,18,
12,12,24,24,96,6,30,36,36,48,96,12,18,60,18,18,30,36,24,36,48,72,72,72,72,72,
72,72,24,24,24,48,48,48,48,32,64,128,48,96,96,64,3,21,42,9,36,15,9,9,48,36,72,
9,6,24,9,24,18,36,12,18,36,36,12,6,6,6,18,18,30,18,24,48,30,18,18,36,18,6,12,
12,12,18,36,12,48,48,96,24,6,6,6,18,12,12,48,9,18,6,15,6,18,24,36,6,18,36,12,
24,24,9,12,12,12,36,36,36,12,36,18,18,18,6,30,18,36,36,18,30,6,12,12,12,12,18,
18,6,6,6,18,18,36,12,12,12,12,24,24,12,36,12,12,24,24,12,12,24,36,36,36,36,12,
12,12,24,12,12,24,36,36,36,36,36,60,24,36,36,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,48,28,56,16,16,32,16,32,1,2,6,3,18,18,18,6,9,6,18,12,24,3,3,3,6,6,
24,12,6,18,6,9,15,9,6,6,6,18,18,9,9,3,3,9,6,6,6,6,12,6,6,9,12,12,12,12,12,12,
12,12,12,12,12,12,6,18,18,6,12,6,6,18,18,6,6,18,18,12,12,36,18,18,36,6,12,12,
12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,36,36,36,36,12,12,12,12,12,12,
12,12,12,12,8,16,32,12,24,24,16,6,3,3,3,6,6,18,6,3,3,3,3,6,9,9,3,3,6,6,6,12,6,
6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,8,4,12,4,8,8,1,3,3,3,3,3,
3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,65,78,64,18,48,216,49,61,180,201,372,426,76,
60,48,320,17,45,54,126,216,45,90,48,81,201,270,12,138,184,24,232,360,360,600,
76,60,180,60,48,96,120,120,72,120,120,240,48,30,72,90,30,30,30,30,36,24,48,
240,24,24,96,240,64,64,64,1,6,21,45,180,14,168,27,3,69,276,135,270,150,60,13,
18,15,60,15,9,12,60,6,6,6,18,36,36,30,30,78,30,30,30,60,36,60,72,60,240,90,30,
60,30,24,48,18,60,240,60,60,240,24,48,36,72,60,240,18,18,24,24,30,60,54,12,48,
66,18,12,36,48,30,18,18,36,30,60,36,24,24,72,72,72,72,160,80,160,64,18,45,23,
42,60,13,15,15,15,60,60,120,9,18,15,12,60,22,30,30,36,36,60,10,6,6,18,18,18,
18,12,24,6,18,18,18,54,18,30,30,30,30,60,12,24,24,48,36,6,18,27,6,18,24,9,18,
36,30,18,36,60,30,60,12,12,15,12,12,36,36,12,36,18,18,18,18,18,18,36,36,18,18,
18,18,36,24,12,12,12,24,24,12,12,12,12,24,12,24,36,36,36,36,36,36,36,36,36,36,
36,36,24,60,16,32,48,16,1,1,2,6,18,18,18,9,9,30,18,30,30,30,6,12,3,3,7,3,12,6,
6,18,6,6,15,9,9,18,18,9,9,9,6,6,6,6,6,6,12,15,12,12,12,12,12,12,12,12,18,18,6,
6,12,18,18,18,36,18,18,18,36,36,36,36,36,36,36,20,40,40,16,1,3,5,3,6,18,3,3,6,
3,3,9,9,9,6,6,6,12,6,6,6,18,1,4,8,12,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,81,62,
64,18,16,168,61,33,300,249,252,474,60,108,16,320,3,59,42,142,168,63,24,102,48,
63,201,330,12,126,168,168,424,456,504,60,60,60,132,16,168,120,168,168,120,240,
48,30,30,30,66,54,30,36,24,120,240,24,24,112,224,64,64,64,6,3,21,51,204,1,14,
168,21,63,252,141,294,126,9,60,9,4,15,60,15,30,60,6,6,6,18,36,36,66,30,30,30,
30,60,36,60,60,24,240,30,30,60,30,54,60,240,42,60,60,240,36,24,84,120,120,240,
30,12,24,18,36,18,30,12,60,24,18,42,60,30,30,18,84,18,36,72,72,72,72,72,72,80,
160,160,64,18,47,21,42,9,60,15,15,15,60,60,120,9,4,15,30,60,6,18,18,18,12,60,
60,36,6,10,6,10,30,30,30,30,12,24,18,30,42,60,18,18,18,18,36,30,24,72,6,18,15,
30,9,6,30,12,60,18,30,60,36,18,36,36,15,12,12,36,36,12,36,18,18,18,18,36,36,
18,18,18,18,18,18,36,24,12,12,12,24,12,24,12,12,12,24,12,24,36,36,36,36,36,36,
36,36,36,36,36,36,28,56,16,32,48,16,1,1,2,6,3,6,30,30,30,15,12,18,30,18,18,18,
3,3,1,6,9,12,6,18,6,6,9,15,9,9,18,18,9,9,6,6,6,6,6,6,12,15,12,12,12,12,12,12,
12,12,18,18,6,6,12,18,18,18,18,36,18,18,36,36,36,36,36,36,36,20,40,40,16,1,3,
3,5,6,18,3,3,6,3,3,9,9,9,6,6,6,6,12,6,6,18,1,4,8,12,4,1,1,1,3,3,3,3,5,4,1,1,1,
1,1],[1,57,102,64,18,144,168,49,33,180,261,300,378,108,84,144,128,192,3,57,42,
126,168,45,90,48,75,189,270,84,126,168,48,168,360,360,504,36,156,132,180,144,
192,72,120,96,72,120,144,336,18,48,30,42,54,18,42,108,168,96,144,24,48,48,16,
32,48,64,64,64,6,21,45,180,6,14,168,21,6,63,252,135,270,126,36,12,18,24,9,36,
9,6,24,12,36,6,12,12,24,18,18,12,30,54,18,60,84,36,48,36,144,144,18,18,36,18,
30,48,96,24,36,36,144,60,36,144,96,168,96,48,48,36,144,12,18,72,48,168,30,36,
24,24,96,18,54,84,36,144,96,18,18,18,36,36,18,60,24,48,48,24,24,48,48,24,24,
24,32,32,64,32,48,48,96,48,96,96,64,18,45,21,42,36,9,9,9,36,36,72,18,24,6,12,
9,12,24,36,6,18,30,36,72,36,36,36,6,6,18,18,18,18,18,84,144,48,18,18,12,12,18,
18,18,18,36,24,12,48,48,96,24,12,12,12,48,6,18,36,18,72,36,18,18,36,36,18,36,
24,24,9,12,12,24,6,12,12,12,12,6,12,24,12,24,12,12,12,12,12,12,12,12,24,24,12,
24,24,24,12,24,24,12,12,12,12,12,12,24,4,4,16,48,32,48,16,32,16,16,16,16,32,
16,1,1,6,36,18,18,18,6,18,18,18,18,18,12,24,3,6,36,6,24,12,6,9,9,6,6,3,3,3,6,
6,3,3,6,6,6,6,9,12,24,12,12,12,12,12,6,6,6,6,6,6,6,6,24,6,12,12,12,12,12,12,
12,12,24,24,24,8,8,12,12,12,16,16,32,16,6,6,3,3,6,6,3,3,9,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,12,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,57,102,64,14,112,
216,25,21,156,177,348,270,108,84,144,128,192,3,21,54,66,168,21,24,18,48,75,81,
90,36,138,168,48,168,96,144,552,36,60,84,132,96,288,72,144,120,72,120,144,288,
96,30,96,30,42,78,30,18,108,120,96,72,192,24,24,24,48,16,16,48,64,64,64,64,3,
7,9,36,1,14,168,21,6,69,252,9,36,126,9,36,24,21,12,9,36,15,6,24,18,48,6,6,6,6,
6,18,60,6,12,24,36,24,54,30,12,30,18,30,36,60,60,96,36,192,18,30,36,18,72,96,
30,54,60,192,18,72,48,144,36,48,96,24,96,36,72,72,144,12,42,12,48,96,18,12,12,
24,24,96,6,30,36,36,48,96,12,18,60,18,18,30,36,24,36,48,72,72,72,72,72,72,72,
24,24,24,48,48,48,48,32,32,32,64,48,48,48,96,64,3,21,42,9,36,15,9,9,48,36,72,
9,6,24,9,24,18,36,12,18,36,36,12,6,6,6,18,18,30,18,24,48,30,18,18,36,18,6,12,
12,12,18,36,12,48,48,96,24,6,6,6,18,12,12,48,9,18,6,15,6,18,24,36,6,18,36,12,
24,24,9,12,12,12,36,36,36,12,36,18,18,18,6,30,18,36,36,18,30,6,12,12,12,12,18,
18,6,6,6,18,18,36,12,12,12,12,24,24,12,36,12,12,24,24,12,12,24,36,36,36,36,12,
12,12,24,12,12,24,36,36,36,36,36,60,24,36,36,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,48,4,4,16,48,16,12,16,16,16,16,16,16,1,2,6,3,18,18,18,6,9,6,18,12,
24,3,3,3,6,6,24,12,6,18,6,9,15,9,6,6,6,18,18,9,9,3,3,9,6,6,6,6,12,6,6,9,12,12,
12,12,12,12,12,12,12,12,12,12,6,18,18,6,12,6,6,18,18,6,6,18,18,12,12,36,18,18,
36,6,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,36,36,36,36,12,12,
12,12,12,12,12,12,12,12,8,8,12,12,12,16,16,16,24,8,6,3,3,3,6,6,18,6,3,3,3,3,6,
9,9,3,3,6,6,6,12,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,
4,4,4,12,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,1,1],[1,105,54,64,6,48,72,
69,49,372,153,180,390,60,228,48,128,192,15,45,18,90,72,81,48,102,27,153,282,
12,18,24,24,96,408,360,144,60,36,108,108,336,72,72,312,240,120,192,96,30,120,
54,54,54,90,18,36,24,48,192,192,24,24,24,48,96,48,64,64,64,1,6,6,15,45,180,9,
3,9,36,141,270,36,6,48,9,30,9,36,15,9,12,48,36,6,6,6,6,6,6,12,18,36,60,24,24,
54,30,54,18,18,18,36,36,36,72,36,24,144,54,30,60,54,18,36,48,192,78,36,36,144,
36,72,120,192,192,192,54,30,60,18,12,24,48,18,6,12,12,24,48,18,42,84,12,36,12,
72,18,36,36,144,144,72,72,72,72,72,72,24,24,24,48,48,48,48,32,128,48,96,96,64,
18,45,3,6,48,9,9,9,9,36,36,72,9,18,15,48,36,6,18,18,6,12,12,12,36,6,18,12,12,
36,72,18,18,18,12,30,18,18,18,36,42,48,36,144,6,18,6,6,9,6,18,24,18,36,15,18,
6,12,36,18,36,72,9,12,12,12,36,36,36,12,36,18,18,18,30,30,6,6,12,12,18,18,12,
36,12,36,18,6,18,18,18,6,6,36,12,12,12,24,12,24,36,12,24,12,12,12,12,24,36,36,
12,12,24,36,36,36,36,36,60,36,36,24,12,12,12,24,24,12,36,36,12,12,12,12,12,24,
24,24,24,24,24,24,24,24,48,4,4,32,48,12,16,32,16,32,1,2,6,3,9,18,24,18,6,18,
18,18,3,3,3,18,24,6,6,18,6,9,9,18,18,6,15,6,6,3,9,9,9,3,6,6,6,6,6,6,12,9,12,
12,12,12,12,12,12,12,12,12,12,12,18,18,6,6,6,12,18,6,18,6,6,12,18,36,18,12,18,
18,36,6,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,36,36,36,36,12,12,12,
12,12,12,12,12,12,12,12,12,8,8,12,12,12,16,32,24,8,6,3,3,3,6,6,18,6,3,3,3,3,6,
3,9,9,3,6,6,6,12,6,6,6,6,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,
4,4,4,12,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,1,1],[1,45,18,160,96,6,45,
15,180,135,270,288,288,45,90,45,90,135,270,360,360,128,128,96,72,240,48,48,72,
96,96,6,15,45,180,135,270,72,144,72,144,144,144,64,18,45,96,96,24,6,6,60,48,
48,72,72,1,18,18,24,24,1,6,6,2,2,1],[1,85,66,160,15,175,60,45,180,180,60,120,
96,160,160,160,75,10,20,45,45,30,120,60,20,60,180,240,60,60,120,60,120,30,120,
90,60,30,120,60,96,96,96,400,120,160,5,1,15,15,15,15,30,15,30,15,15,15,30,60,
90,90,30,60,60,15,30,30,120,60,120,60,30,60,45,15,30,30,60,60,96,120,40,80,40,
80,80,1,15,15,30,15,20,30,15,15,15,30,30,5,15,15,15,30,10,30,15,30,30,30,15,
45,15,30,30,30,30,30,60,30,20,10,60,40,80,64,5,15,15,15,15,15,15,30,30,6,10,
10,10,20,20,40,5,6,6,6,5,10,6,5,1,1],[1,65,78,64,6,120,45,45,180,165,300,390,
60,60,16,320,5,45,30,90,120,45,90,45,165,270,30,40,160,360,360,240,60,60,60,
60,120,120,120,120,240,30,30,30,30,30,30,240,16,48,48,96,240,64,6,15,45,180,
15,15,60,135,270,60,60,15,60,15,60,30,30,30,30,30,60,60,60,240,30,30,60,30,60,
240,60,60,240,60,240,30,60,30,30,30,60,16,48,48,160,80,160,64,18,45,5,60,15,
15,15,60,60,120,15,60,10,30,30,60,10,30,30,30,30,60,30,60,30,60,15,16,24,60,
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],[1,115,160,
175,210,270,96,320,160,75,10,45,540,90,135,90,30,60,60,96,400,120,160,5,1,15,
15,135,90,135,45,30,90,30,60,60,96,120,40,240,40,15,45,10,15,45,15,30,45,15,
30,30,20,10,60,40,64,5,15,15,15,15,15,15,6,10,20,10,10,20,32,15,6,5,10,6,5,1,
1],[1,115,160,55,330,270,96,320,160,15,30,85,420,210,75,150,30,60,60,96,280,
240,160,1,5,15,15,75,150,75,45,90,90,30,60,60,96,80,320,40,15,25,30,15,45,15,
30,45,15,30,30,10,20,60,40,16,48,5,15,15,15,15,15,15,6,20,20,10,20,16,16,15,6,
5,10,6,5,1,1],[1,95,60,40,10,35,190,90,120,240,40,210,96,120,120,200,15,10,15,
30,30,60,80,60,60,40,120,180,60,60,150,120,60,120,60,45,90,120,10,60,96,10,40,
40,40,120,200,120,40,40,1,10,15,10,30,15,30,60,60,45,15,30,30,120,60,30,120,
45,15,30,30,60,30,30,30,60,60,96,10,30,40,20,40,30,40,20,40,40,40,40,40,40,40,
40,10,30,15,15,30,30,15,5,15,15,30,30,30,30,15,30,30,10,10,30,20,40,10,30,20,
10,10,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,
6,5,1,1],[1,90,45,61,60,15,15,135,135,135,45,135,36,60,255,15,180,225,180,45,
45,45,135,135,135,135,20,20,36,15,30,15,30,15,15,225,45,45,180,45,45,36,135,
20,20,60,120,60,108,15,15,45,45,90,90,45,45,15,15,45,45,45,45,45,10,36,15,15,
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],[1,57,54,64,192,18,168,49,33,180,189,252,378,36,36,192,576,3,45,42,
126,168,45,90,48,63,189,270,126,168,168,360,360,504,36,36,36,36,72,72,72,72,
144,18,18,18,18,18,18,144,256,96,208,32,240,288,96,64,192,6,21,45,180,14,168,
21,63,252,135,270,126,36,9,36,9,36,18,18,18,18,18,36,36,36,144,18,18,36,18,36,
144,36,36,144,36,144,18,18,36,18,18,36,18,18,18,36,18,36,144,96,288,96,96,48,
288,96,192,18,45,21,42,36,9,9,9,36,36,72,9,36,6,18,18,36,36,36,6,6,6,18,18,18,
18,18,18,18,18,18,18,36,18,36,18,18,36,36,18,36,9,24,64,192,24,36,60,8,56,32,
32,96,96,144,48,1,1,18,18,18,18,18,18,18,18,6,9,9,9,12,36,24,24,24,24,24,24,3,
3,9,48,32,1,1,4,12,8,24,1,3,3,4,4,1,1,2,1],[1,57,54,64,192,14,16,168,25,21,
156,153,252,270,36,36,192,576,3,21,42,66,168,21,24,18,48,63,81,90,12,126,168,
168,96,144,504,36,36,36,108,72,72,72,72,72,144,18,18,18,54,18,18,36,72,144,24,
24,256,32,16,112,32,48,256,96,128,48,64,64,128,3,7,9,36,1,14,168,21,63,252,9,
36,126,9,36,9,9,36,9,18,36,6,6,6,18,36,36,54,18,18,18,18,36,36,36,36,144,18,
18,36,18,54,36,144,18,36,36,144,36,36,72,72,144,18,18,36,18,36,18,18,18,36,72,
72,72,72,48,96,192,96,48,96,48,48,96,96,96,192,96,96,3,21,42,9,36,9,9,9,36,36,
72,9,9,18,36,18,36,36,6,6,6,18,18,18,18,18,18,18,36,18,6,18,9,18,9,18,36,18,
36,9,12,12,36,36,12,36,18,18,18,18,36,36,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,64,128,64,28,4,8,56,8,16,32,16,32,96,32,48,48,24,96,96,1,
2,6,3,18,18,18,9,18,3,3,6,18,6,9,9,9,18,18,9,9,9,18,18,18,18,18,18,36,18,18,
36,36,36,36,36,36,36,12,12,24,12,12,24,24,24,24,48,3,6,18,9,9,18,16,16,32,1,2,
4,8,8,24,8,8,12,12,12,24,24,1,3,6,4,8,1,1,2,1],[1,57,54,256,6,48,72,45,49,180,
153,180,342,36,36,768,15,45,18,90,72,45,90,27,153,270,12,18,24,24,96,360,360,
144,36,36,108,36,72,72,72,72,72,144,18,72,54,18,18,18,18,36,144,24,24,256,96,
48,256,224,144,256,1,6,15,45,180,9,3,9,36,135,270,36,36,9,18,9,36,9,9,36,6,6,
6,18,36,36,18,18,54,18,18,18,36,36,36,72,36,144,54,18,36,18,18,36,144,36,36,
144,36,72,36,144,18,18,36,18,18,18,18,36,36,72,72,72,72,48,96,96,96,144,288,
96,288,96,96,18,45,3,36,9,9,9,9,36,36,72,9,18,9,36,6,18,18,36,6,6,18,18,18,18,
18,18,18,36,36,6,18,9,18,9,18,36,18,36,9,12,12,36,36,12,36,18,18,18,18,18,18,
36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,256,24,8,12,60,32,96,
48,144,24,96,96,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,18,18,
18,18,36,18,18,18,36,36,36,36,36,36,36,36,12,12,12,24,24,24,24,48,3,6,18,9,9,
18,16,48,1,2,12,8,24,8,8,12,12,12,24,24,1,3,6,4,8,1,1,2,1],[1,153,54,112,6,72,
93,33,612,153,180,486,84,324,560,48,432,3,45,18,90,72,117,96,126,27,153,306,
18,24,96,504,360,144,84,36,36,180,432,72,648,432,216,288,54,18,54,90,162,18,
432,288,72,64,96,240,24,36,48,48,432,144,48,144,48,6,12,15,45,180,9,9,36,153,
270,36,12,72,9,36,27,108,36,18,18,18,36,72,90,54,18,18,18,36,36,36,144,18,54,
108,54,72,72,288,162,36,36,144,216,432,432,288,18,36,18,18,36,18,90,180,36,72,
36,144,18,36,288,288,216,216,64,128,64,12,12,384,72,24,144,96,48,36,24,72,96,
72,16,48,144,48,48,48,48,18,45,3,12,72,9,9,9,36,36,72,27,108,36,6,18,18,18,36,
36,36,6,36,36,72,144,18,18,18,18,36,90,96,288,18,18,36,72,18,18,36,36,18,36,
144,9,36,108,54,18,18,36,36,18,18,18,72,36,72,36,72,36,36,72,36,36,36,72,72,
36,48,64,24,3,60,24,36,12,12,24,12,24,48,36,24,96,72,24,12,36,72,48,1,36,48,
18,18,18,18,18,9,36,48,9,18,18,9,18,18,36,9,36,36,36,36,18,36,18,36,36,36,36,
16,16,48,1,3,48,64,18,9,12,12,12,24,24,6,12,36,12,72,12,12,12,3,18,9,9,18,36,
18,12,16,1,3,3,3,9,12,3,3,9,24,6,6,12,9,12,4,4,4,3,1,3,9,3,3,3,3,1,4,3,3,1,1,
1,1],[1,57,150,64,48,6,336,72,45,33,180,297,324,342,180,36,192,16,256,336,192,
240,3,69,18,90,72,45,90,63,153,270,180,18,24,144,96,360,360,144,36,324,252,
324,192,288,72,72,72,72,144,576,18,54,18,90,18,90,252,288,144,144,72,64,96,36,
240,24,48,48,48,240,192,144,144,48,6,15,45,180,12,9,18,9,36,135,270,36,36,36,
48,9,36,9,18,36,36,36,18,36,36,72,18,18,36,54,90,18,108,180,36,36,288,144,18,
18,36,18,90,72,144,72,36,144,36,36,144,216,288,144,144,36,144,144,288,18,36,
36,72,18,72,144,288,18,72,18,36,72,72,72,144,144,64,64,64,12,256,84,192,24,
144,60,72,96,48,72,96,48,16,48,144,48,48,48,18,45,3,36,9,9,9,36,36,72,36,48,
18,9,36,36,36,6,18,18,72,144,36,6,24,144,288,36,18,18,18,18,36,36,36,72,36,18,
36,72,144,18,36,18,36,36,9,36,36,72,18,36,36,36,36,18,36,36,36,36,36,36,36,36,
36,72,72,72,36,72,72,36,48,64,24,3,60,12,24,36,48,60,72,12,36,24,96,24,12,36,
72,48,1,12,72,18,18,18,18,18,9,12,72,9,18,18,9,9,9,18,18,18,9,36,36,36,36,18,
18,18,18,72,72,16,16,48,16,96,1,3,18,12,9,12,12,24,6,24,12,36,12,72,12,12,12,
3,18,9,9,18,18,18,18,12,16,1,3,12,3,3,9,3,3,9,24,6,6,12,9,12,4,4,4,3,1,3,9,3,
3,3,3,1,4,3,3,1,1,1,1],[1,81,126,16,96,14,144,168,25,105,108,189,468,414,156,
108,144,64,48,112,384,144,288,45,21,42,66,168,9,18,48,117,117,90,36,126,168,
72,312,96,144,504,156,108,468,108,144,288,216,144,144,72,144,288,144,18,72,
234,54,54,18,54,108,72,144,288,72,64,8,112,8,12,232,24,48,16,32,48,144,96,144,
192,48,96,48,3,7,9,36,14,168,39,9,63,252,9,36,126,36,39,18,27,36,9,27,36,72,
18,36,72,36,54,18,234,54,54,18,108,108,36,72,36,144,234,18,36,54,72,144,36,36,
144,72,72,288,72,144,108,72,36,288,54,18,72,72,18,36,126,36,144,126,18,36,36,
144,18,18,36,36,72,72,72,72,216,216,64,64,64,12,112,48,48,36,24,96,48,240,48,
48,24,120,24,24,36,96,24,48,48,16,48,48,96,48,48,48,3,21,42,36,39,9,9,27,36,
36,72,27,18,9,36,72,42,18,18,36,36,36,6,6,18,18,18,18,36,72,18,18,18,18,126,
18,18,36,36,72,72,144,72,36,63,18,18,72,9,18,36,18,18,36,36,36,36,9,36,108,54,
18,18,18,18,36,18,36,36,36,36,36,36,36,72,72,36,36,72,72,36,36,36,36,16,32,64,
28,1,2,56,12,8,8,24,8,12,36,24,12,36,24,24,24,48,24,24,96,12,24,12,24,24,24,
48,1,18,18,18,21,9,18,18,18,36,9,21,9,36,18,9,9,18,9,9,18,18,18,18,9,36,36,36,
36,18,18,18,18,36,36,36,36,16,16,16,32,1,6,28,12,3,24,12,48,3,12,6,12,12,24,
24,6,12,24,24,24,24,12,12,12,12,3,9,3,9,9,9,9,18,18,18,18,4,8,16,1,1,2,3,12,6,
3,3,3,3,6,3,6,24,6,12,9,4,8,4,4,1,3,3,1,3,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,105,
175,35,105,315,126,630,105,120,315,70,126,35,70,105,35,105,105,70,126,120,105,
105,210,105,70,35,21,42,35,21,15,15,7,1],[1,45,42,64,14,168,7,105,63,252,126,
84,64,64,45,42,42,168,48,63,63,126,168,168,504,84,252,126,112,224,192,3,7,14,
168,21,63,252,126,21,126,126,126,126,64,112,21,42,21,42,126,63,64,28,56,24,48,
1,21,21,28,24,3,1,1,1,3,1,1],[1,99,112,63,266,294,224,336,64,15,14,105,420,
210,63,126,14,84,84,140,56,112,112,112,64,1,7,21,21,63,126,63,63,126,42,42,84,
84,64,56,168,56,84,56,56,112,21,21,42,7,63,21,42,21,21,42,42,64,7,28,28,56,28,
56,8,7,7,21,21,21,21,21,14,7,21,28,8,21,16,8,7,7,7,7,7,7,8,7,7,1,1],[1,141,42,
112,91,63,532,105,84,420,84,336,336,112,336,64,7,98,64,140,21,105,210,56,420,
140,84,84,504,84,504,336,84,168,42,42,84,126,336,168,56,28,56,112,112,336,336,
64,7,8,7,105,105,21,84,42,14,42,42,84,84,126,42,42,168,168,336,336,168,42,84,
63,21,42,168,168,168,168,64,28,28,112,56,56,112,56,112,28,56,112,56,56,56,112,
56,7,21,84,42,21,42,21,21,21,42,56,168,21,42,84,28,84,42,42,84,42,84,64,7,28,
56,28,56,56,112,28,56,112,56,56,56,56,8,28,21,7,21,42,42,42,42,42,7,7,14,7,7,
56,28,14,8,21,8,8,8,7,7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,57,126,112,14,112,168,
21,49,28,189,420,294,168,84,168,112,336,336,64,15,21,42,42,168,7,63,105,28,42,
56,56,224,56,336,84,168,336,84,168,336,84,168,84,168,168,126,84,42,42,84,84,
168,168,56,56,28,84,28,112,336,336,64,1,7,7,21,7,21,84,84,42,21,21,21,42,14,
42,126,42,84,42,84,84,168,126,84,168,42,168,84,168,84,42,42,84,42,42,42,63,42,
42,21,84,84,168,168,64,28,28,112,56,140,28,28,28,56,56,28,56,56,84,28,56,56,
112,56,7,21,21,42,21,42,14,42,21,42,21,21,42,21,42,42,84,21,21,42,21,42,28,84,
42,42,42,42,42,42,42,64,7,28,28,28,28,56,84,56,28,84,28,56,28,56,56,56,56,8,
21,7,21,7,21,21,21,42,42,42,42,7,14,7,7,7,28,28,28,14,8,21,8,8,8,7,7,7,7,7,7,
14,14,8,8,8,7,7,1,1],[1,29,42,112,14,168,7,49,63,252,126,28,560,64,17,42,42,
168,48,63,63,126,168,168,504,28,84,42,56,84,112,112,112,64,1,7,14,168,21,63,
252,126,7,42,42,42,42,64,168,140,168,112,21,42,7,14,42,21,64,7,28,56,84,28,24,
48,1,7,7,21,14,28,8,1,24,7,7,7,8,7,1,1,1,1],[1,29,42,112,112,7,35,28,105,84,
84,28,560,64,15,21,7,8,21,21,84,56,56,56,28,84,84,84,42,42,42,84,56,28,28,28,
112,112,112,64,1,1,7,7,7,7,7,7,21,21,21,28,14,14,42,42,42,42,42,84,84,42,42,
42,84,84,56,168,168,168,64,84,56,84,28,56,56,56,56,112,7,7,21,21,21,28,28,84,
84,84,42,42,42,84,56,64,28,28,28,28,28,28,28,28,28,56,56,56,8,8,7,7,21,28,7,
28,28,28,56,8,8,1,8,8,7,7,7,8,8,7,1,1],[1,99,112,63,266,294,224,336,64,15,14,
105,420,210,63,126,14,84,84,28,28,56,112,112,112,64,1,7,21,21,63,126,63,63,
126,42,42,84,84,64,56,56,56,56,84,56,84,56,84,112,21,21,42,7,63,21,42,21,21,
42,42,64,28,28,28,56,28,28,28,28,56,28,84,8,7,7,21,21,21,21,21,7,28,28,28,8,
21,8,8,7,7,7,7,8,8,8,7,7,1],[1,15,84,112,28,56,84,7,28,126,84,42,168,224,336,
64,21,7,8,84,14,168,168,42,84,168,42,42,21,84,28,14,56,84,28,56,28,112,112,
112,64,1,7,14,7,21,21,42,84,42,21,42,84,42,42,21,42,42,84,84,64,56,56,56,56,
84,56,28,56,28,56,56,112,21,21,42,7,21,42,42,21,21,21,42,42,64,28,28,28,56,28,
28,28,56,28,28,28,56,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,
7,1],[1,75,256,175,30,90,96,160,480,75,15,180,45,60,160,96,40,500,120,160,96,
5,1,15,15,45,45,45,160,120,120,60,60,96,15,15,45,160,1,25,10,40,20,60,60,64,5,
6,10,15,15,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,75,256,55,150,90,96,160,480,15,
75,180,45,60,160,96,100,320,240,160,96,1,5,15,15,45,45,45,160,120,60,120,60,
96,15,15,45,160,5,11,20,20,40,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,
10,6,5,1,1],[1,137,150,64,42,144,504,85,85,492,477,804,882,220,324,240,192,
192,320,21,87,126,246,504,87,56,126,144,201,333,450,92,378,504,72,536,552,648,
1512,220,228,420,372,240,480,552,408,168,408,456,408,816,528,90,120,210,114,
186,138,114,180,264,240,312,816,72,24,120,48,48,16,32,48,64,64,192,320,192,64,
64,1,6,7,33,63,252,7,42,504,67,9,189,756,153,342,378,25,180,25,30,39,36,57,
180,45,27,60,28,78,204,26,18,18,6,42,18,6,54,108,42,84,60,108,36,36,72,186,90,
150,114,114,90,228,180,180,120,180,216,720,210,90,180,114,42,120,240,42,150,
180,720,102,204,204,816,156,264,240,108,120,228,312,312,816,54,90,60,120,168,
66,132,126,60,72,240,162,90,84,180,120,240,54,114,156,90,78,54,228,78,156,84,
168,120,120,168,56,360,216,312,72,216,216,72,24,24,24,48,48,48,48,16,48,96,48,
80,48,48,32,32,96,64,80,96,48,48,32,96,32,96,64,64,96,96,64,64,64,64,64,18,51,
63,126,25,180,25,45,45,57,180,180,360,39,36,27,30,45,28,60,78,204,54,66,66,54,
60,180,180,132,18,30,18,30,90,90,90,90,84,120,120,18,54,90,114,156,30,126,30,
36,66,78,54,54,108,78,56,60,36,120,120,240,84,168,6,42,18,54,36,63,30,30,120,
39,78,15,27,30,90,60,180,66,90,180,132,54,108,60,60,84,45,60,12,36,156,108,36,
84,108,36,108,12,36,54,54,18,78,42,84,30,30,54,54,108,108,54,54,30,30,36,60,
36,36,36,18,30,54,54,18,18,18,54,54,108,60,36,56,72,60,36,36,12,60,72,72,60,
84,60,72,36,72,36,84,60,12,84,36,72,72,36,72,60,36,36,36,120,36,84,108,108,
108,108,60,60,72,72,84,84,36,60,60,60,72,108,108,108,108,108,108,36,72,72,108,
60,108,36,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,16,32,16,48,48,
16,48,96,48,32,48,32,16,48,48,16,80,96,48,96,32,32,32,96,16,16,16,16,16,16,32,
32,32,32,96,96,32,64,1,3,2,6,18,6,9,30,90,90,90,21,15,39,28,54,90,54,66,54,30,
60,9,3,13,9,21,3,18,21,15,60,21,28,30,18,54,6,18,18,18,6,27,45,27,27,15,30,18,
18,15,18,54,54,27,27,9,15,9,9,9,30,18,30,18,3,3,18,18,18,30,18,18,18,30,36,30,
18,30,30,18,18,36,45,12,4,36,36,12,36,36,36,4,84,60,36,60,12,60,36,36,36,60,
36,36,60,36,60,36,36,12,36,36,36,36,36,28,30,18,54,18,54,18,30,18,6,6,30,36,
18,18,36,18,54,54,30,18,6,6,54,54,18,60,42,108,72,18,54,54,108,18,36,6,12,12,
12,12,12,12,12,12,12,12,12,12,108,108,36,36,12,12,12,12,12,12,12,12,36,60,60,
36,108,108,108,108,72,12,12,12,12,24,12,36,36,36,12,12,12,12,12,24,12,12,12,
12,12,12,24,24,4,12,8,12,12,12,16,16,48,16,16,48,8,16,16,16,16,16,16,16,16,16,
32,16,16,16,16,16,16,32,32,1,3,15,3,7,9,15,3,1,3,18,18,18,9,18,18,54,6,18,6,2,
18,6,15,15,18,18,6,9,9,18,15,3,9,9,9,9,9,9,18,3,3,18,6,6,6,18,9,9,9,27,27,27,
9,15,9,3,30,18,18,18,18,30,18,18,18,30,6,6,36,18,30,36,18,30,6,18,18,18,6,6,6,
6,6,6,54,18,6,6,6,6,6,6,6,6,6,6,12,18,6,12,12,12,12,12,12,12,12,12,36,12,12,
12,12,36,12,12,12,12,12,4,8,24,12,12,4,4,4,4,4,4,12,12,4,4,4,12,12,4,12,12,4,
4,8,8,24,16,16,16,1,3,3,3,3,3,9,3,9,9,9,9,9,3,3,3,9,3,15,9,3,9,9,9,3,3,3,3,3,
3,3,9,3,3,3,6,18,6,18,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,
4,4,8,8,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,137,150,64,26,
208,312,133,85,588,525,612,1026,220,324,240,192,192,320,17,147,78,294,312,147,
24,270,48,117,477,810,108,162,216,104,360,1080,1112,792,172,276,420,372,240,
480,504,456,216,360,504,360,816,528,90,216,186,90,162,162,114,228,264,240,216,
816,24,72,120,48,32,16,48,48,64,64,192,320,192,64,64,1,18,3,49,139,540,7,14,
168,39,13,81,324,405,810,198,13,204,25,54,39,36,57,180,45,39,60,28,54,180,18,
6,26,18,42,6,18,42,84,54,108,108,60,36,36,72,138,90,150,114,138,114,228,228,
180,216,180,216,816,186,90,180,90,42,120,240,54,102,204,720,90,180,180,816,
156,264,240,156,216,252,216,216,720,54,78,108,72,264,90,180,78,60,72,144,114,
90,132,132,216,144,90,90,132,54,78,54,204,90,180,108,216,72,120,216,56,360,
312,216,216,72,72,216,24,24,24,48,48,48,48,48,16,64,32,80,48,48,48,96,96,32,
48,96,32,80,48,96,32,96,64,64,96,96,64,64,64,64,64,54,135,27,42,13,180,25,45,
45,57,180,204,360,39,36,39,54,45,28,60,54,180,38,90,90,54,108,108,132,180,30,
18,18,30,78,66,66,54,132,216,72,18,30,54,90,132,54,78,54,36,90,90,90,90,180,
54,72,60,36,72,120,144,108,216,18,54,6,42,36,39,30,54,72,27,54,27,27,54,54,
108,132,90,66,108,180,90,180,60,36,108,45,60,36,12,108,156,108,84,36,12,36,36,
108,18,78,54,54,42,84,54,54,30,30,36,60,30,30,54,54,36,108,36,36,108,18,54,18,
30,54,54,54,18,18,60,108,36,56,72,60,36,36,36,60,72,72,60,84,60,72,36,72,12,
84,60,36,84,36,120,72,36,72,60,36,36,12,72,108,108,60,60,36,84,108,108,72,72,
108,108,108,108,108,108,72,60,60,84,60,36,84,36,72,72,36,108,60,108,36,12,12,
12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,16,32,48,16,16,48,16,32,80,96,48,
96,48,48,48,48,48,32,16,32,32,96,96,32,16,16,16,16,32,16,16,32,32,96,96,32,32,
64,3,1,6,2,6,18,9,54,66,54,54,13,27,27,36,90,54,90,90,90,30,36,13,9,9,3,21,9,
54,7,9,36,27,36,18,6,18,18,54,18,6,18,45,27,15,15,27,54,54,18,27,18,30,18,9,
15,27,27,9,3,3,18,18,30,18,9,9,18,18,18,30,18,18,18,30,36,30,30,30,30,18,18,
36,45,4,12,36,36,36,36,12,36,12,84,60,36,60,4,60,36,36,36,60,36,36,60,36,60,
36,36,36,36,36,36,12,36,28,54,54,30,18,18,6,18,6,18,18,18,36,30,30,36,54,30,
18,54,18,6,6,18,42,54,108,54,60,72,54,18,18,36,54,108,6,12,12,12,12,12,12,12,
12,12,12,12,12,36,36,108,108,12,12,12,12,12,12,12,12,108,108,108,108,36,36,60,
60,72,12,12,12,12,24,12,36,36,36,12,12,12,12,12,24,12,12,12,12,12,12,24,24,4,
8,12,12,12,12,16,16,16,48,48,16,8,16,16,16,16,32,16,16,16,16,16,16,16,16,16,
16,16,32,32,1,1,9,9,9,15,9,1,3,9,18,18,18,3,18,6,18,18,54,2,6,6,18,9,9,6,18,
18,15,15,18,9,9,9,15,9,3,3,3,6,9,9,6,18,18,18,6,9,9,9,27,15,9,27,27,9,3,30,18,
18,18,18,30,30,30,6,18,18,18,36,6,18,36,18,18,18,6,18,30,6,6,6,6,6,6,18,54,6,
6,6,6,6,6,6,6,6,6,12,6,18,12,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,
12,12,12,4,8,24,4,12,12,4,4,4,4,12,12,4,4,4,4,12,12,4,12,12,4,4,8,8,24,16,16,
16,3,1,3,3,3,9,3,9,3,9,9,9,9,3,3,3,3,9,9,9,9,3,9,15,3,3,3,3,3,3,3,9,3,3,3,18,
6,18,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,8,8,8,3,3,
3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,137,150,64,18,336,216,85,61,
540,549,516,810,220,324,240,192,192,320,17,123,54,174,216,99,72,126,48,117,
261,450,252,138,184,168,328,552,744,600,172,372,420,564,240,480,504,408,168,
504,408,312,720,720,66,120,186,90,258,138,162,372,360,240,360,720,72,24,216,
48,96,240,64,64,192,320,192,64,64,1,6,9,21,75,252,21,14,168,39,21,69,276,153,
342,150,39,156,25,30,93,60,81,132,33,63,60,84,90,156,54,18,42,6,126,18,6,78,
156,42,84,60,132,60,60,120,234,66,150,162,186,90,324,372,132,120,132,360,624,
186,66,132,90,126,120,240,42,258,156,528,126,156,156,720,372,360,240,252,120,
204,360,360,624,54,78,132,72,264,42,84,54,60,120,144,66,90,132,132,264,144,30,
90,204,54,114,90,204,54,108,84,216,72,120,216,168,648,504,648,72,216,216,72,
24,24,24,48,48,48,48,48,192,144,288,160,80,160,64,64,64,64,64,64,64,18,51,23,
42,39,132,25,33,33,81,132,156,264,93,60,63,30,33,84,60,90,156,22,42,42,90,132,
108,132,84,10,18,30,30,78,66,66,54,132,264,72,18,66,54,90,204,30,54,30,60,42,
54,30,30,60,90,72,60,60,72,120,144,84,216,6,42,18,78,60,27,30,30,72,45,90,15,
45,66,54,132,132,42,66,108,84,30,60,60,36,108,33,108,12,36,324,252,36,252,108,
36,108,12,36,54,126,18,162,126,252,30,30,66,66,108,132,66,66,30,30,60,60,60,
60,36,30,30,54,66,18,18,18,54,54,132,60,60,168,24,60,60,12,36,60,24,24,84,84,
84,72,36,72,36,84,84,36,84,12,120,24,36,72,60,60,60,36,72,36,84,132,132,108,
156,60,60,120,120,84,84,36,60,60,60,120,132,132,156,132,108,156,60,120,120,
108,60,132,36,60,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,24,60,16,32,48,
80,160,48,48,96,96,16,32,16,64,1,1,2,6,18,6,15,66,66,54,54,9,15,45,36,30,54,
30,42,30,30,36,21,3,27,9,63,9,54,7,9,36,27,36,18,18,54,6,18,6,18,6,15,27,33,
33,15,30,18,30,15,30,66,54,27,33,9,15,15,9,9,18,30,30,30,9,9,6,30,30,30,30,30,
6,30,12,42,30,42,42,18,18,36,33,12,12,60,60,36,60,36,60,12,84,84,12,84,12,84,
36,36,36,60,60,60,60,12,60,60,60,36,12,12,60,36,36,84,30,18,66,30,54,18,18,18,
18,18,18,12,30,30,36,18,66,54,30,30,6,6,54,78,18,60,42,132,120,18,54,54,108,
18,36,6,12,12,12,12,12,12,12,12,12,12,12,12,108,108,36,36,12,12,12,12,12,12,
12,12,36,60,60,36,108,108,132,132,120,12,12,12,12,24,12,60,60,60,12,12,12,12,
12,24,12,12,12,12,12,12,24,24,12,72,36,48,20,16,48,40,40,16,32,16,16,16,16,3,
1,9,9,9,5,9,3,3,9,30,30,30,9,30,18,54,6,18,6,6,18,18,9,9,18,6,18,15,15,18,9,9,
3,15,9,9,9,9,18,9,9,18,18,18,18,18,15,15,15,9,33,27,9,15,15,3,30,30,6,30,18,
42,30,30,18,18,18,18,12,18,18,36,6,18,18,18,18,30,6,6,6,6,6,6,54,18,6,6,6,6,6,
6,6,6,6,6,12,18,18,12,12,12,12,12,12,12,12,12,60,12,12,12,12,60,12,12,12,12,
12,1,4,8,12,12,20,12,4,4,24,24,40,8,16,1,3,1,3,1,9,9,9,9,9,9,3,3,3,3,3,9,9,9,
3,9,9,9,15,3,3,3,3,3,3,3,15,3,3,3,18,18,18,18,6,6,6,6,6,6,6,6,3,3,5,4,4,4,4,4,
4,12,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,5,1,4,3,1,1,1,1,1,1,1,1],[1,
105,182,64,18,400,312,61,117,300,453,756,714,252,228,304,64,320,320,45,95,78,
142,312,63,24,102,48,153,261,330,252,162,216,216,456,424,552,792,204,372,660,
420,304,672,408,408,312,168,312,312,720,720,66,264,306,90,186,90,162,372,360,
336,120,720,24,72,216,48,112,224,64,64,192,192,320,64,64,3,6,3,21,63,204,19,
14,168,51,27,81,324,141,294,198,21,156,51,66,75,52,81,132,33,81,84,84,30,156,
42,6,54,18,126,6,18,42,84,78,156,132,60,60,60,120,162,66,306,162,186,90,324,
372,132,264,132,312,624,306,66,132,90,126,168,336,78,150,156,528,42,156,156,
720,300,360,336,324,264,156,120,120,624,90,54,108,120,264,66,132,162,84,120,
240,162,66,132,84,216,240,54,42,84,30,54,54,108,78,156,156,72,120,168,72,168,
648,648,504,216,72,72,216,24,24,24,48,48,48,48,112,80,160,320,80,160,160,64,
64,64,64,64,64,64,18,47,27,42,21,132,51,33,33,81,132,156,264,75,52,81,66,33,
84,84,30,156,54,66,66,54,108,60,84,132,18,10,18,22,54,42,42,30,132,216,120,30,
30,30,42,84,66,162,66,60,66,78,54,54,108,30,24,84,60,120,168,240,156,72,18,78,
6,42,60,81,42,66,120,15,30,33,27,54,30,108,84,66,42,60,132,54,108,84,60,36,33,
108,36,12,252,324,108,252,36,12,36,36,108,18,162,54,126,126,252,66,66,30,30,
36,60,30,30,66,66,60,132,60,60,108,30,66,18,30,54,54,54,18,18,60,132,60,168,
24,84,60,36,36,84,72,72,60,84,60,24,12,24,36,84,60,36,84,36,72,72,12,24,84,60,
60,36,120,108,156,60,60,36,84,132,132,120,120,156,156,108,132,132,132,120,60,
60,84,60,36,84,60,120,120,36,132,60,108,60,12,12,12,12,12,24,24,24,24,24,24,
24,24,24,48,28,56,16,32,48,48,96,48,80,96,160,16,16,32,64,1,1,6,2,6,18,9,54,
42,30,30,27,33,15,12,54,30,54,66,54,42,60,27,9,21,3,63,7,42,21,15,60,9,12,30,
6,18,18,54,6,6,18,27,15,15,15,33,66,54,30,33,30,30,18,9,15,27,33,15,9,9,30,30,
42,30,9,9,18,30,30,42,30,30,18,42,36,30,18,30,30,6,6,12,33,12,12,60,60,36,60,
36,60,12,84,60,36,60,12,60,12,12,12,84,60,60,84,36,84,60,60,36,36,36,60,36,12,
84,66,54,30,30,18,18,30,18,18,18,30,36,18,18,12,54,30,18,66,30,6,6,18,42,54,
132,78,60,120,54,18,18,36,54,108,6,12,12,12,12,12,12,12,12,12,12,12,12,36,36,
108,108,12,12,12,12,12,12,12,12,108,132,132,108,36,36,60,60,120,12,12,12,12,
24,12,60,60,60,12,12,12,12,12,24,12,12,12,12,12,12,24,24,28,20,40,80,20,16,48,
40,40,16,16,16,32,16,16,3,3,15,7,3,9,5,3,3,9,30,30,30,9,30,6,18,18,54,6,6,18,
18,15,15,18,18,18,9,9,6,15,9,9,9,3,9,9,9,18,9,9,18,18,18,18,18,15,15,15,9,15,
9,27,33,15,3,42,30,18,30,6,30,18,18,18,30,18,18,36,18,30,12,18,30,18,18,6,18,
6,6,6,6,6,6,18,54,6,6,6,6,6,6,6,6,6,6,12,18,18,12,12,12,12,12,12,12,12,12,60,
12,12,12,12,60,12,12,12,12,12,1,4,8,12,20,12,12,4,4,24,24,40,8,16,3,1,1,1,3,9,
9,9,9,3,3,9,9,3,3,3,9,9,15,9,9,9,3,9,3,3,3,3,3,3,3,15,3,3,3,18,18,18,18,6,6,6,
6,6,6,6,6,1,5,5,4,4,4,4,4,4,12,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,5,3,1,
4,3,1,1,1,1,1,1,1,1],[1,81,126,160,96,6,216,45,69,180,189,540,486,108,108,96,
96,288,288,864,288,9,45,54,90,216,45,90,81,189,270,54,72,288,360,360,432,108,
108,108,108,216,216,216,216,432,54,54,54,54,54,54,432,128,128,96,72,240,48,48,
72,96,96,288,288,288,288,6,15,45,180,27,27,108,135,270,108,108,27,108,27,108,
54,54,54,54,54,108,108,108,432,54,54,108,54,108,432,108,108,432,108,432,54,
108,54,54,54,108,384,384,72,72,72,72,144,144,72,144,288,144,72,144,144,288,
144,96,96,64,18,45,9,108,27,27,27,108,108,216,27,108,18,54,54,108,18,54,54,54,
54,108,54,108,54,108,27,96,96,24,6,6,60,48,48,72,72,72,144,72,72,72,144,144,
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],[1,117,18,160,96,6,81,15,396,135,270,36,
216,480,576,288,45,90,99,72,90,135,270,360,360,36,108,216,432,216,54,108,216,
128,128,96,72,240,48,48,72,96,144,96,144,144,144,6,9,15,45,180,135,270,9,54,
54,54,108,108,216,216,54,108,54,108,216,216,64,192,48,288,72,144,72,144,72,
144,72,144,144,144,144,64,18,45,9,54,54,108,54,72,216,27,54,108,96,96,24,6,6,
60,48,48,72,72,36,36,72,36,36,72,64,1,27,36,27,36,48,48,36,48,18,18,18,18,36,
72,36,9,24,24,1,6,6,9,9,9,9,12,12,3,9,9,2,2,1,3,1,1],[1,45,90,160,96,6,144,45,
15,180,243,270,108,144,192,288,288,576,63,90,45,90,135,270,108,360,360,108,
108,216,144,432,54,108,216,128,128,96,72,240,48,48,72,96,144,96,144,144,144,6,
15,45,180,9,135,270,27,36,54,108,216,54,108,216,108,216,54,108,216,54,64,192,
192,72,144,144,144,144,72,144,144,144,144,144,64,18,45,27,36,54,108,18,108,
216,27,54,108,96,96,24,6,6,60,36,48,48,72,72,36,72,36,36,72,64,1,9,54,9,54,48,
48,12,72,18,18,18,18,36,72,36,9,24,24,1,6,6,9,9,9,9,12,12,3,9,9,2,2,1,3,1,1],[
1,105,198,160,66,840,65,105,180,405,1260,810,180,180,96,160,480,480,15,45,210,
270,840,45,90,240,315,405,270,630,840,840,360,360,2520,180,180,180,180,360,
360,360,360,720,90,90,90,90,90,90,720,96,288,288,120,80,80,240,160,480,480,6,
45,45,180,70,840,105,315,1260,135,270,630,180,45,180,45,180,90,90,90,90,90,
180,180,180,720,90,90,180,90,180,720,180,180,720,180,720,90,90,180,90,90,180,
90,90,90,180,90,180,96,288,288,120,120,240,120,240,240,240,240,480,160,18,45,
105,210,180,45,45,45,180,180,360,45,180,30,90,90,180,180,180,30,30,30,90,90,
90,90,90,90,90,90,90,90,180,90,180,90,90,180,180,90,180,45,120,96,10,20,80,
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],[1,105,198,160,6,240,360,45,185,180,225,900,630,180,180,96,160,480,480,
75,45,90,90,360,45,90,135,225,270,60,90,120,120,480,360,360,720,180,180,540,
180,360,360,360,360,360,720,90,360,270,90,90,90,90,180,720,120,120,96,288,288,
400,120,160,480,480,5,6,15,45,180,45,15,45,180,135,270,180,180,45,90,45,180,
45,45,180,30,30,30,90,180,180,90,90,270,90,90,90,180,180,180,360,180,720,270,
90,180,90,90,180,720,180,180,720,180,360,180,720,90,90,180,90,90,90,90,180,
180,360,360,360,360,96,288,288,120,120,240,120,240,240,160,18,45,15,180,45,45,
45,45,180,180,360,45,90,45,180,30,90,90,180,30,30,90,90,90,90,90,90,90,180,
180,30,90,45,90,45,90,180,90,180,45,60,60,180,180,60,180,90,90,90,90,90,90,
180,180,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,96,20,
10,80,120,60,120,240,120,240,64,1,10,30,15,45,90,90,90,90,15,15,30,90,30,45,
45,90,90,45,45,45,45,90,90,90,90,90,180,90,90,90,180,180,180,180,180,180,180,
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],[1,85,66,160,15,175,60,45,180,180,100,240,240,96,160,160,160,
75,10,20,45,45,30,120,60,20,60,180,240,60,60,120,60,120,30,120,90,60,60,90,
120,240,120,360,60,120,96,96,96,400,120,160,160,160,5,1,15,15,15,10,60,15,30,
15,60,30,30,15,30,15,30,15,30,60,60,90,90,30,60,60,15,30,30,120,60,120,60,30,
60,60,30,60,45,30,60,60,15,30,30,60,60,60,60,60,60,60,96,192,120,40,80,40,80,
80,160,1,15,15,30,15,20,30,15,15,15,30,30,5,15,30,30,15,30,15,30,30,10,30,15,
30,30,30,30,15,45,15,60,30,30,60,60,30,30,60,60,30,30,30,60,30,30,30,30,60,60,
96,20,10,60,40,80,40,40,80,64,5,15,10,15,15,15,15,30,15,30,30,15,15,15,15,30,
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],[1,165,66,160,55,175,540,45,180,420,60,
480,96,480,160,480,75,70,80,80,45,45,90,120,300,20,60,180,960,60,60,360,360,
60,120,90,360,90,240,90,360,120,120,60,120,96,96,96,400,120,160,480,480,5,1,
10,15,45,15,15,90,45,90,30,30,15,15,15,30,180,90,90,90,180,240,15,90,30,30,
120,180,360,360,120,240,90,180,45,15,30,30,60,60,60,360,360,60,60,60,60,120,
120,120,120,96,192,120,40,80,80,480,40,80,80,80,160,1,15,45,90,30,15,80,90,15,
15,15,30,20,30,60,5,15,45,15,30,30,60,180,10,30,90,15,90,90,30,15,45,15,30,60,
180,30,60,30,30,30,30,30,180,30,30,30,30,60,60,60,60,60,60,120,96,20,10,40,60,
40,80,40,80,80,80,64,5,10,15,15,15,45,45,15,30,60,60,30,30,30,30,15,15,15,15,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,10,10,40,20,10,40,20,20,20,40,40,
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],[1,65,78,64,6,120,45,45,180,165,300,390,60,300,240,16,320,5,
45,30,90,120,45,90,45,165,270,30,40,160,360,360,240,60,60,60,60,120,120,120,
120,240,30,240,30,150,30,30,30,120,240,240,240,16,48,48,96,240,320,64,6,15,45,
180,15,15,60,135,270,60,60,60,15,60,15,60,60,30,30,30,30,30,60,60,60,240,30,
30,60,30,60,240,60,60,240,60,240,60,90,60,60,240,30,60,240,30,30,60,120,120,
120,16,48,48,96,96,160,80,160,64,18,45,5,60,15,15,15,60,60,120,15,60,10,30,30,
60,10,30,30,30,30,60,30,120,30,30,60,30,60,15,60,60,60,60,60,60,60,60,60,120,
16,48,48,24,60,160,80,16,64,1,30,30,30,30,30,15,15,15,30,15,30,30,30,60,60,60,
60,1,48,20,40,40,16,5,15,15,30,30,1,3,3,1,20,40,4,16,15,1,3,3,6,6,5,4,1,3,3,5,
1,4,3,1,1],[1,21,42,112,288,14,168,7,21,63,252,126,336,672,64,3,42,42,168,48,
63,63,126,168,168,504,448,56,112,56,84,280,168,112,224,7,14,168,21,63,252,126,
64,128,64,168,168,168,168,84,168,336,21,42,112,224,28,7,14,56,56,56,168,56,84,
24,48,64,1,21,42,28,56,24,48,1,7,14,1,7,1,1,2,1],[1,81,126,256,6,336,72,57,49,
252,405,324,486,156,108,144,64,192,1152,15,99,18,90,72,63,24,90,63,189,270,
252,18,24,168,192,360,504,144,84,324,324,396,144,288,144,216,72,144,144,72,
288,432,18,72,126,18,162,54,126,324,216,144,72,288,24,168,256,96,48,256,224,
144,256,192,192,192,192,1,6,3,15,63,180,21,21,21,9,36,135,270,36,21,72,21,18,
81,36,63,36,9,63,36,84,18,36,42,42,6,126,6,36,72,18,36,36,36,36,36,72,126,18,
126,126,162,54,252,324,36,72,36,216,288,126,18,36,18,126,72,144,18,162,72,144,
36,36,36,288,324,216,144,252,72,72,72,72,144,18,36,108,216,18,36,18,36,72,18,
54,108,36,216,18,18,72,54,54,72,18,36,36,72,72,72,168,504,504,504,72,72,256,
16,192,144,96,144,96,96,96,144,96,288,192,288,64,96,96,192,18,45,3,21,36,21,9,
9,63,36,72,72,81,36,63,18,9,84,36,18,36,6,18,18,54,108,36,36,6,18,18,36,18,18,
108,216,6,18,18,72,18,18,18,36,18,18,18,18,36,18,24,36,36,72,36,72,6,18,36,36,
9,18,18,9,18,9,27,54,108,36,18,18,36,18,36,36,36,9,84,12,252,252,36,252,12,36,
126,18,126,126,252,18,18,18,18,36,18,18,18,18,36,36,36,36,36,18,18,18,18,18,
18,36,36,36,168,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,72,
36,36,72,72,36,36,36,36,36,36,72,36,36,72,36,72,36,72,72,36,36,36,36,256,24,8,
12,60,32,48,96,48,48,144,48,24,48,96,48,96,48,48,48,96,96,96,96,1,2,6,9,54,18,
3,9,9,12,18,18,18,18,18,21,3,21,63,9,54,9,12,6,18,6,9,9,9,9,18,18,18,9,18,18,
9,9,9,9,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,9,12,36,36,36,36,36,12,36,
36,36,36,36,36,36,36,36,36,36,36,36,84,18,18,18,18,18,18,18,18,18,18,18,18,36,
18,36,18,36,72,18,18,36,36,36,36,36,36,36,36,36,72,36,36,36,64,64,12,72,12,16,
36,12,12,12,16,24,24,24,24,24,48,48,48,48,96,3,9,3,3,3,9,18,18,18,18,6,18,6,
18,18,9,9,9,9,9,9,18,18,18,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,
36,36,16,48,1,2,12,8,24,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,1,9,
9,9,9,9,9,18,18,16,16,3,1,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,81,
126,64,192,14,304,168,25,105,156,333,468,414,156,108,144,64,192,576,576,45,57,
42,66,168,21,24,18,48,117,117,90,228,126,168,168,312,96,240,504,156,252,468,
252,144,288,216,144,144,72,72,144,288,432,18,72,234,54,126,18,126,252,216,144,
72,288,24,168,256,32,16,112,32,48,256,96,128,48,192,64,64,128,192,192,192,3,3,
7,21,36,19,14,168,39,21,63,252,9,36,126,21,36,39,18,63,36,63,36,9,63,36,84,18,
72,42,6,42,126,6,18,36,36,72,36,36,36,36,72,126,18,234,126,126,18,252,252,36,
72,36,216,144,234,18,36,54,126,72,144,36,126,36,144,18,72,72,288,252,216,144,
252,72,36,72,72,288,54,18,36,72,72,18,36,126,36,72,144,126,18,36,36,72,144,18,
36,18,18,18,36,36,72,72,72,72,168,504,504,504,72,72,256,112,48,96,192,48,96,
192,96,48,96,96,144,48,96,96,96,96,192,64,96,96,192,3,21,42,21,36,39,9,9,63,
36,36,72,63,36,63,18,9,84,36,18,72,42,18,18,18,36,36,36,36,6,6,6,18,18,18,18,
36,72,72,18,18,18,18,36,18,126,18,36,18,36,18,36,36,72,72,144,72,36,6,18,36,
63,18,18,72,9,18,9,9,18,18,36,36,18,18,36,36,36,36,9,84,12,252,252,252,36,12,
36,18,126,126,126,252,18,18,18,18,36,36,18,18,18,18,36,36,36,36,18,18,18,18,
18,18,36,36,36,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,36,36,36,
36,36,36,72,72,72,72,36,36,36,72,36,36,36,36,36,36,36,72,72,36,36,36,36,64,
128,64,28,4,8,56,8,48,16,32,16,32,96,32,48,48,48,48,24,48,96,48,96,48,48,48,
96,96,96,96,1,2,6,3,18,18,18,18,21,9,9,18,18,18,36,21,21,3,63,21,9,36,18,6,18,
6,9,9,9,9,18,18,9,18,18,18,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,
9,12,36,36,36,36,36,36,36,36,12,36,36,36,36,36,36,36,36,36,36,84,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,36,72,18,18,36,36,36,36,36,36,36,36,36,72,
36,36,36,64,64,28,12,24,48,12,12,24,12,12,16,24,24,24,24,24,48,48,48,48,96,3,
3,9,3,3,18,18,18,9,18,6,18,6,18,9,9,18,9,9,9,9,18,18,18,9,9,9,9,9,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,36,36,16,16,32,1,2,4,8,8,24,8,8,12,12,12,12,12,
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],[1,81,126,256,42,48,504,57,85,180,297,756,594,
156,108,144,64,192,1152,21,45,126,198,504,45,90,144,189,297,270,12,378,504,24,
504,360,360,1512,156,108,324,108,144,288,216,216,72,216,216,432,144,54,72,162,
54,54,54,54,36,72,144,432,24,24,256,96,48,256,224,144,256,192,192,192,192,1,6,
33,45,180,42,504,63,3,189,756,135,270,378,108,21,18,27,108,27,9,36,108,6,6,6,
18,36,36,54,54,126,54,54,54,108,36,108,72,108,432,162,54,108,54,72,144,18,108,
432,108,108,432,72,144,36,72,108,432,18,54,72,72,54,108,126,36,144,162,54,36,
108,144,54,54,54,108,54,108,36,72,72,72,72,72,72,256,16,48,96,48,48,48,48,96,
48,288,96,192,144,288,288,288,64,96,96,192,18,45,63,126,108,21,27,27,27,108,
108,216,9,18,27,36,108,54,54,54,108,108,108,18,18,18,54,54,54,54,36,72,6,54,
54,18,126,18,54,54,54,54,108,36,72,72,144,36,6,18,63,18,18,72,9,54,108,54,54,
108,108,54,108,36,36,27,12,12,36,36,12,36,18,18,18,18,18,18,36,36,18,18,18,18,
36,72,36,36,36,72,72,36,36,36,36,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,
256,24,8,12,60,32,96,96,144,48,144,24,48,96,48,48,48,48,96,48,96,96,48,96,96,
1,3,2,6,54,54,54,21,9,54,54,54,54,54,18,36,3,3,21,9,36,18,6,18,18,6,27,27,9,
18,18,9,9,9,18,18,18,18,18,18,36,27,36,36,36,36,36,36,36,36,18,18,18,18,36,18,
18,18,36,18,18,18,36,36,36,36,36,36,36,64,64,4,12,36,36,12,12,16,48,48,72,24,
72,24,48,48,3,9,9,9,6,18,9,9,18,9,9,27,9,9,18,18,18,36,18,18,18,18,16,48,1,2,
12,12,8,24,8,8,12,12,12,12,12,12,12,12,12,12,24,24,1,3,3,9,9,9,9,16,16,9,4,6,
12,12,12,3,4,8,1,1,3,2,3,4,1,3,1,1],[1,129,78,64,192,26,16,168,133,57,588,441,
252,882,108,252,48,192,64,192,960,3,135,42,294,168,147,24,270,48,63,441,810,
12,126,168,168,1080,1080,504,108,108,108,180,48,360,216,360,360,216,432,144,
54,54,54,90,126,54,36,72,216,432,24,24,256,32,16,112,32,48,256,96,128,48,64,
64,320,192,192,192,18,3,49,135,540,1,14,168,21,63,252,405,810,126,9,108,9,12,
27,108,27,54,108,6,6,6,18,36,36,90,54,54,54,54,108,36,108,108,72,432,54,54,
108,54,54,108,432,90,108,108,432,36,72,180,216,216,432,54,36,72,54,108,54,54,
36,108,72,54,90,108,54,54,18,180,54,108,216,216,72,72,72,72,256,48,16,48,48,
48,48,96,96,144,96,384,96,48,96,48,48,288,96,96,192,64,96,96,192,54,135,21,42,
9,108,27,27,27,108,108,216,9,12,27,54,108,18,54,54,18,36,108,108,108,18,18,6,
18,54,54,54,54,36,72,18,54,90,108,54,54,54,54,108,54,72,216,6,18,27,54,9,18,
54,36,108,54,54,108,108,54,108,108,27,12,12,36,36,12,36,18,18,18,18,36,36,18,
18,18,18,18,18,36,72,36,36,36,72,36,72,36,36,36,72,36,72,36,36,36,36,36,36,36,
36,36,36,36,36,64,128,64,28,4,8,56,8,16,32,16,32,96,128,144,48,48,24,48,96,48,
96,48,48,48,48,96,96,48,96,96,3,1,2,6,3,18,54,54,54,27,36,54,54,54,54,54,3,3,
3,18,27,36,6,18,18,6,27,27,9,9,18,18,9,9,18,18,18,18,18,18,36,27,36,36,36,36,
36,36,36,36,18,18,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,36,64,64,4,
12,12,36,24,12,12,16,48,48,72,24,72,24,48,48,3,9,9,9,6,18,9,9,18,9,9,27,9,9,
18,18,18,18,36,18,18,18,16,16,32,1,2,4,12,8,8,24,8,8,12,12,12,12,12,12,12,12,
12,12,24,24,1,3,3,9,9,9,9,16,16,9,4,6,12,12,12,3,4,8,1,1,3,2,3,4,1,3,1,1],[1,
81,126,64,192,18,144,312,49,117,180,225,612,522,156,108,144,64,192,576,576,45,
45,78,126,312,45,90,48,117,225,270,36,162,216,72,360,360,360,792,156,108,468,
108,144,288,216,216,216,216,216,432,144,54,216,234,54,54,54,54,108,72,144,432,
72,72,256,96,208,32,240,288,96,192,64,192,192,192,192,3,6,21,45,180,14,168,39,
9,81,324,135,270,198,108,39,54,27,108,27,27,36,108,18,18,18,54,108,108,54,54,
234,54,54,54,108,108,108,216,108,432,234,54,108,54,72,144,54,108,432,108,108,
432,72,144,108,216,108,432,54,18,72,72,54,108,162,36,144,162,18,36,36,144,54,
18,18,36,54,108,108,72,72,216,216,216,216,256,112,48,96,192,144,96,288,96,288,
144,288,288,192,64,192,18,45,27,42,108,39,27,27,27,108,108,216,27,54,27,36,
108,54,54,54,36,36,108,18,6,6,18,18,18,18,36,72,18,18,18,54,162,54,54,54,54,
54,108,36,72,72,144,108,18,54,81,18,54,72,27,18,36,54,18,36,108,54,108,36,36,
27,36,36,108,108,36,108,54,54,54,54,54,54,108,108,54,54,54,54,108,24,36,36,36,
72,72,36,36,36,36,72,36,72,108,108,108,108,108,108,108,108,108,108,108,108,64,
192,24,36,60,8,56,48,32,32,96,96,144,48,48,48,96,96,48,1,1,6,18,18,18,18,27,
27,54,18,54,54,54,18,36,9,9,21,9,36,18,18,54,6,18,27,9,27,54,54,27,27,27,18,
18,18,18,18,18,36,27,36,36,36,36,36,36,36,36,54,54,18,18,36,54,54,54,108,54,
54,54,108,108,108,108,108,108,108,64,64,28,12,24,48,36,36,24,48,72,24,24,72,
24,48,3,9,9,3,18,54,9,9,18,9,9,9,27,27,18,18,18,36,18,18,18,54,48,32,1,1,4,12,
8,24,12,12,36,12,24,24,24,3,1,3,9,9,9,9,16,1,3,3,9,4,12,3,4,4,3,1,1,2,3,3,3,4,
4,1,3,1,1],[1,129,78,64,192,18,48,168,85,33,540,369,252,666,108,252,48,192,64,
192,960,3,87,42,174,168,99,72,126,48,63,225,450,36,126,168,168,552,648,504,
108,108,108,324,48,360,216,504,360,216,432,144,54,54,54,162,126,54,108,72,360,
432,72,72,256,96,208,32,240,288,96,64,192,192,192,192,192,6,9,21,63,252,3,14,
168,21,63,252,153,342,126,27,108,27,12,27,108,27,90,108,18,18,18,54,108,108,
162,54,54,54,54,108,108,108,108,72,432,54,54,108,54,162,108,432,126,108,108,
432,108,72,180,360,360,432,54,36,72,18,36,18,54,36,108,72,18,90,180,54,90,54,
180,18,36,216,216,216,216,216,216,256,48,64,48,288,240,96,480,96,96,48,480,96,
192,64,192,18,51,21,42,27,108,27,27,27,108,108,216,27,12,27,90,108,6,18,18,54,
36,108,108,36,6,18,18,18,54,54,54,54,36,72,54,54,90,180,18,18,18,18,36,90,72,
216,18,54,45,90,27,18,54,36,108,18,54,108,36,18,36,108,27,36,36,108,108,36,
108,54,54,54,54,108,108,54,54,54,54,54,54,108,24,36,36,36,72,36,72,36,36,36,
72,36,72,108,108,108,108,108,108,108,108,108,108,108,108,64,192,24,36,60,8,56,
32,48,32,96,96,144,48,48,96,48,96,48,1,1,6,18,9,18,54,54,54,45,36,18,54,18,18,
18,9,9,3,18,27,36,18,54,6,18,9,27,27,27,54,54,27,27,18,18,18,18,18,18,36,27,
36,36,36,36,36,36,36,36,54,54,18,18,36,54,54,54,54,108,54,54,108,108,108,108,
108,108,108,64,64,4,24,36,48,12,60,24,48,24,72,72,24,24,48,3,9,3,9,18,54,9,9,
18,9,9,9,27,27,18,18,18,18,36,18,18,54,48,32,1,1,4,12,8,24,12,12,36,12,24,24,
24,3,1,3,9,9,9,9,16,1,3,9,3,4,12,3,4,4,3,1,1,2,3,3,3,4,4,1,3,1,1],[1,201,54,
256,6,48,72,117,49,756,153,180,486,108,612,144,1536,768,15,45,18,90,72,153,
144,126,27,153,306,12,18,24,24,96,504,360,144,108,36,108,252,864,72,72,936,
576,216,288,288,54,216,54,126,126,234,18,36,72,144,576,288,72,24,24,144,256,
96,48,256,224,144,256,768,768,1,6,18,15,45,180,9,3,9,36,153,270,36,18,72,9,54,
9,36,27,9,36,144,36,18,6,6,18,6,18,36,18,36,108,72,72,126,54,54,18,18,18,36,
36,36,72,36,72,144,54,54,108,126,18,108,72,288,234,36,36,144,36,72,288,576,
576,288,126,54,108,18,36,72,144,18,18,36,36,72,144,18,126,252,36,108,36,216,
18,36,36,432,432,72,72,72,216,216,72,72,72,72,144,144,144,144,256,96,96,672,
288,960,48,96,96,96,144,288,96,288,96,96,768,18,45,3,18,72,9,9,9,9,36,36,72,9,
18,27,144,36,6,18,18,18,36,36,36,36,6,42,36,36,108,216,18,18,18,36,54,18,18,
18,36,126,144,36,432,6,18,18,18,9,18,18,72,54,108,27,18,18,36,36,18,36,216,9,
12,12,36,36,36,108,12,36,54,18,18,54,54,18,18,36,36,18,18,36,36,36,36,18,18,
18,18,18,18,18,36,36,36,36,72,36,72,108,36,72,36,36,36,36,72,36,36,36,36,72,
36,36,36,36,36,108,36,36,72,36,36,36,72,72,36,36,36,36,36,36,36,36,72,72,72,
72,72,72,72,72,72,144,256,24,8,12,60,32,96,48,144,24,96,48,144,96,288,48,96,
96,144,288,96,96,96,96,1,2,6,3,9,54,72,18,18,18,18,18,3,3,9,54,72,18,6,18,6,9,
9,18,18,18,27,18,18,9,9,9,27,9,18,18,18,18,18,18,36,9,36,36,36,36,36,36,36,36,
36,36,36,36,18,18,18,18,18,36,18,18,18,18,18,36,18,36,18,36,18,18,36,18,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,256,72,48,96,72,36,12,12,12,24,24,24,24,144,48,96,288,48,48,96,18,
3,9,9,18,6,18,18,9,9,9,9,18,9,9,9,9,18,18,18,36,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,36,16,48,1,2,12,8,24,8,8,36,12,12,12,12,12,12,
36,12,12,12,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,48,6,3,6,12,
12,12,36,12,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,57,198,64,
192,14,304,312,25,21,156,225,540,270,252,180,432,384,1152,192,576,3,21,78,66,
168,21,24,18,48,99,81,90,84,162,168,144,168,96,144,648,36,108,180,180,288,864,
72,288,360,72,216,288,576,288,54,288,54,90,126,54,18,252,360,288,72,288,24,72,
24,144,256,32,16,112,32,48,256,96,128,48,64,64,128,192,384,192,192,576,3,7,9,
36,1,14,168,21,18,81,252,9,36,126,9,36,72,45,36,9,36,27,18,72,18,72,6,6,18,6,
18,18,108,18,36,72,36,72,54,54,36,54,18,54,36,108,108,288,36,288,18,54,36,18,
216,288,90,54,108,288,18,144,72,144,36,144,288,72,288,36,72,72,144,36,90,36,
144,288,54,36,36,72,72,288,18,54,108,36,144,288,36,18,108,18,18,54,36,72,108,
144,216,72,72,216,72,72,216,72,72,72,144,144,144,144,256,192,96,96,96,192,192,
96,576,192,384,48,96,192,96,48,96,48,48,96,96,96,192,96,96,192,192,384,3,21,
42,9,36,27,9,9,72,36,72,9,18,72,9,72,18,36,36,18,36,36,36,6,6,6,18,18,54,18,
72,144,54,18,18,36,54,18,36,36,36,18,108,36,144,144,288,72,18,18,6,18,36,36,
144,9,18,18,27,18,18,72,36,18,18,36,36,72,72,9,12,36,12,36,108,36,12,36,18,54,
18,18,54,18,36,36,18,54,18,36,36,36,36,18,18,18,18,18,18,18,36,36,36,36,36,72,
72,36,108,36,36,72,72,36,36,72,36,36,36,36,36,36,36,72,36,36,72,36,36,36,36,
36,108,72,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,64,128,64,28,
4,8,56,8,16,32,16,32,96,32,48,48,24,48,48,96,96,48,96,96,48,96,48,96,48,48,48,
96,192,96,96,96,96,96,1,2,6,3,18,18,18,18,9,18,18,36,72,9,3,3,18,18,72,36,6,
18,6,9,27,9,18,18,18,18,18,9,9,9,9,27,18,18,18,18,36,18,18,9,36,36,36,36,36,
36,36,36,36,36,36,36,18,18,18,18,36,18,18,18,18,18,18,18,18,36,36,36,18,18,36,
18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,64,64,128,24,24,48,48,96,48,12,12,24,12,12,24,24,24,24,
48,96,48,48,96,96,96,48,48,48,96,18,3,9,9,18,6,18,18,9,9,9,9,18,9,9,9,9,18,18,
18,36,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,16,32,
1,2,4,8,8,24,8,8,12,12,24,12,12,12,12,12,12,24,12,12,12,24,24,24,24,24,24,24,
24,1,9,9,9,9,9,9,18,18,18,18,16,16,32,6,3,6,12,12,12,12,24,12,24,24,24,24,24,
9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,57,198,64,192,18,432,168,49,33,180,405,
396,378,252,180,432,384,1152,192,576,3,81,42,126,168,45,90,48,99,189,270,252,
126,168,144,168,360,360,504,36,396,324,468,432,576,72,216,288,72,216,144,1008,
18,144,54,90,126,18,90,324,504,288,144,72,144,256,96,208,32,240,288,96,64,192,
576,192,192,576,6,21,45,180,18,14,168,21,18,63,252,135,270,126,36,36,54,72,9,
36,9,18,72,36,36,18,36,36,72,18,18,36,54,126,18,108,252,36,144,36,432,144,18,
18,36,18,90,144,288,72,108,36,144,108,36,144,288,504,288,144,144,36,144,36,18,
216,144,504,54,36,72,72,288,18,126,252,36,432,288,18,18,18,108,36,18,108,72,
144,144,72,72,144,144,72,72,72,256,384,288,288,192,192,768,192,144,96,288,96,
96,48,288,96,192,192,576,18,45,21,42,36,9,9,9,36,36,72,54,72,18,36,9,36,72,36,
6,18,54,108,216,36,36,36,6,6,42,18,18,18,18,252,432,144,18,18,36,36,18,18,18,
18,36,72,36,144,144,288,72,36,36,36,144,18,54,108,18,216,36,18,18,36,36,18,36,
72,72,9,36,36,72,18,36,36,36,36,18,36,24,36,72,36,36,36,36,36,36,36,36,72,72,
36,72,72,72,36,72,72,36,36,36,36,36,36,72,64,192,24,36,60,8,56,32,32,96,96,
144,48,48,144,288,96,96,96,96,48,144,96,288,96,1,1,18,108,18,18,18,18,18,18,
18,18,18,36,72,9,18,108,18,72,36,6,9,9,18,18,9,9,9,18,18,9,9,18,18,18,18,9,36,
72,36,36,36,36,36,18,18,18,18,18,18,18,18,72,18,36,36,36,36,36,36,36,36,72,72,
72,64,192,24,144,24,96,48,96,12,36,24,24,24,24,24,24,96,144,96,288,96,48,18,
18,3,3,18,18,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,48,32,1,1,4,12,
8,12,36,24,36,24,12,24,24,24,24,24,24,24,1,9,9,9,9,9,9,48,32,6,6,3,3,12,36,24,
24,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,195,400,95,570,630,576,1440,240,15,
30,225,900,450,135,270,30,180,180,160,576,20,640,840,80,240,240,1,15,45,45,
135,270,135,135,270,90,90,180,180,160,120,120,360,960,60,120,120,240,45,45,90,
15,135,45,90,45,45,90,90,160,80,20,60,20,180,60,120,60,120,96,384,15,15,45,45,
45,45,45,80,36,60,60,15,60,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[
1,195,256,55,690,630,96,1280,960,15,90,105,900,630,135,450,90,60,180,160,96,
100,320,240,160,960,480,96,1,5,15,15,135,450,135,45,270,270,90,180,180,160,
320,288,360,240,960,60,240,60,480,96,15,45,90,45,45,45,90,135,45,90,90,160,
160,5,11,20,20,40,60,60,240,60,120,60,60,60,16,48,96,5,45,45,45,45,45,45,160,
6,50,30,60,15,45,60,120,60,60,48,48,45,10,20,6,16,5,5,5,5,15,45,15,15,6,10,20,
20,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,195,256,175,570,630,96,1280,960,
75,30,105,1260,270,315,270,90,60,180,160,96,40,500,120,160,960,480,96,5,1,15,
15,315,270,315,45,90,270,90,180,180,160,320,288,120,240,120,1080,120,120,60,
60,480,96,15,105,30,45,45,45,90,135,45,90,90,160,160,1,25,10,40,20,60,120,120,
60,120,60,60,60,60,64,96,5,45,45,45,45,45,45,160,6,10,90,10,30,15,15,30,120,
60,60,60,96,45,20,10,6,16,5,5,5,5,15,30,15,15,15,6,20,10,10,10,18,16,15,15,15,
15,6,5,10,1,6,5,3,1,1],[1,253,253,253,253,253,1012,253,759,276,253,253,253,
253,253,276,24,253,253,253,24,1],[1,225,126,160,96,6,216,117,69,1044,189,540,
918,180,540,96,1056,288,288,1440,288,9,45,54,90,216,153,144,198,81,189,378,54,
72,288,792,360,432,180,108,108,324,864,216,1080,864,648,864,162,54,162,162,
270,54,864,864,216,128,128,96,72,240,48,48,72,96,288,96,1440,864,288,288,288,
288,288,6,18,15,45,180,27,27,108,189,270,108,18,216,27,108,81,216,108,54,54,
54,108,216,162,162,54,54,54,108,108,108,432,54,162,324,162,108,216,864,270,
108,108,432,432,864,864,864,54,108,54,54,108,54,162,324,108,108,108,216,54,
108,432,432,648,648,128,384,768,96,72,72,72,72,576,144,144,144,288,72,144,288,
144,72,144,144,144,288,144,96,96,288,288,288,288,288,288,64,18,45,9,18,216,27,
27,27,108,108,216,81,216,108,18,54,54,54,108,108,108,18,108,108,108,216,54,54,
54,54,108,162,144,432,54,54,54,108,54,54,108,108,54,108,216,27,108,324,162,54,
54,108,108,54,54,54,216,108,216,108,216,108,108,216,108,108,108,216,216,108,
96,96,384,24,6,6,60,48,48,72,72,72,72,144,72,144,144,72,72,72,144,144,288,144,
144,144,72,72,144,288,64,128,1,54,72,54,54,54,54,54,27,54,72,27,54,54,27,54,
54,108,27,108,108,108,108,54,108,54,108,108,108,108,96,96,96,96,6,6,18,18,72,
96,36,18,36,18,72,72,72,72,72,36,72,72,72,144,72,72,64,18,9,54,27,27,54,108,
54,24,24,96,1,6,6,18,18,18,18,18,36,18,18,18,72,36,36,72,27,24,24,24,24,6,9,6,
6,18,18,18,18,18,18,2,2,24,9,18,2,6,6,6,1,6,1,2,1],[1,81,270,160,96,6,720,216,
45,69,180,405,972,486,324,108,288,96,96,672,864,864,864,9,81,54,90,216,45,90,
189,189,270,324,54,72,432,288,360,360,432,108,756,540,540,288,864,216,216,216,
216,432,864,54,162,54,162,54,270,540,432,432,432,216,128,128,96,72,240,48,48,
72,96,288,96,288,288,864,864,864,288,288,6,15,45,180,18,27,54,27,108,135,270,
108,108,54,72,27,108,27,54,108,108,108,54,108,108,216,54,54,108,162,162,54,
324,324,108,108,432,432,54,54,108,54,270,216,432,108,108,432,108,108,432,432,
432,432,432,108,432,216,432,54,108,108,216,54,108,216,432,54,108,54,108,216,
216,216,432,432,128,384,384,384,72,384,216,288,72,72,144,144,288,216,144,288,
144,72,144,144,288,144,288,96,96,288,288,288,288,288,64,18,45,9,108,27,27,27,
108,108,216,54,72,54,27,108,108,108,18,54,54,108,216,108,18,36,216,432,108,54,
54,54,54,108,108,108,216,108,54,54,108,216,54,108,54,108,108,27,108,108,216,
54,108,108,108,108,54,108,108,108,108,108,108,108,108,108,216,216,216,108,216,
216,108,96,96,384,24,6,6,60,72,48,48,72,72,72,144,72,144,216,144,72,216,144,
288,144,144,72,72,144,288,64,128,1,18,108,54,54,54,54,54,27,18,108,27,54,54,
27,27,27,54,54,54,27,108,108,108,108,54,54,54,54,216,216,96,96,96,96,6,24,144,
6,18,18,36,18,36,18,72,72,72,72,36,72,72,72,72,144,72,72,64,18,9,54,27,27,54,
54,54,54,24,24,96,1,6,6,36,18,18,18,18,18,18,18,18,72,36,36,72,27,24,24,24,24,
6,9,6,6,18,18,18,18,18,18,2,2,24,9,18,2,6,6,6,1,6,1,2,1],[1,81,126,160,96,6,
216,45,69,180,189,540,486,252,108,432,96,96,288,288,864,288,9,45,54,90,216,45,
90,81,189,270,54,72,288,360,360,432,108,108,108,108,216,216,216,216,432,54,
270,54,54,54,54,216,432,432,128,128,96,72,240,48,48,72,96,96,288,288,288,288,
576,6,15,45,180,27,27,108,135,270,108,108,36,27,108,27,108,108,54,54,54,54,54,
108,108,108,432,54,54,108,54,108,432,108,108,432,108,432,216,54,108,108,108,
162,108,54,54,108,216,384,384,72,72,72,72,144,144,72,144,288,144,72,144,144,
288,144,96,96,64,18,45,9,108,27,27,27,108,108,216,27,108,18,54,54,108,18,54,
54,54,54,108,54,54,54,108,54,108,108,27,108,108,216,108,108,216,96,96,24,6,6,
60,48,48,72,72,72,144,72,72,72,144,144,144,144,64,1,54,54,54,54,9,27,27,54,54,
54,54,27,96,96,6,6,18,18,18,36,18,72,72,72,72,64,9,27,27,24,24,1,6,6,18,18,18,
18,36,9,24,24,9,6,6,2,2,9,6,6,1,1,1],[1,185,198,160,6,240,360,85,185,660,225,
900,870,220,660,240,96,480,480,800,75,45,90,90,360,105,80,150,135,225,330,60,
90,120,120,480,600,360,720,220,180,540,300,1200,360,360,600,720,600,960,480,
150,600,270,270,150,210,90,180,120,240,480,960,120,120,120,240,96,288,288,400,
120,160,160,480,800,480,160,160,5,6,10,15,45,180,45,15,45,180,165,270,180,10,
240,45,150,45,180,75,45,60,120,180,30,30,30,30,30,30,60,90,180,300,120,120,
150,150,270,90,90,90,180,180,180,360,180,120,720,270,150,300,270,90,60,240,
960,150,180,180,720,180,360,360,480,480,960,270,150,300,90,60,120,240,90,30,
60,60,120,240,90,90,180,60,60,60,120,90,180,180,240,240,360,360,360,360,360,
360,120,120,120,240,240,240,240,96,288,288,192,192,120,120,80,240,480,120,80,
240,240,160,160,160,160,160,160,160,18,45,15,10,240,45,45,45,45,180,180,360,
45,90,75,120,180,30,90,90,30,60,60,60,180,30,90,60,60,60,120,90,90,90,60,150,
90,90,90,180,90,80,180,240,30,90,30,30,45,30,90,120,30,60,75,90,30,60,180,90,
180,120,45,60,60,60,180,180,180,60,180,90,90,90,150,150,30,30,60,60,90,90,60,
180,60,180,90,30,90,90,90,30,30,180,60,60,60,120,60,120,180,60,120,60,60,60,
60,120,180,180,60,60,120,180,180,180,180,180,300,180,180,120,60,60,60,120,120,
60,180,180,60,60,60,60,60,120,120,120,120,120,120,120,120,120,240,96,96,96,20,
10,80,120,40,60,120,240,120,80,40,80,80,240,40,40,80,160,64,1,10,30,15,45,30,
40,90,30,90,90,90,15,15,15,30,40,30,30,90,30,45,45,90,90,30,75,30,30,15,45,45,
45,15,30,30,30,30,30,30,60,45,60,60,60,60,60,60,60,60,60,60,60,60,90,90,30,30,
30,60,90,30,90,30,30,60,90,180,90,60,90,90,180,30,60,60,60,60,60,60,180,180,
60,60,60,60,60,60,60,60,180,180,180,180,60,60,60,60,60,60,60,60,60,60,60,60,6,
96,10,30,40,20,30,40,120,60,20,60,40,40,40,80,40,40,120,40,64,10,15,15,15,30,
30,90,30,15,15,15,15,30,15,45,45,15,30,30,30,60,30,30,30,30,30,90,30,30,30,30,
30,30,60,60,60,60,60,60,60,60,60,6,18,18,5,10,20,30,30,10,10,10,10,20,20,20,
20,60,20,20,40,5,15,15,15,15,15,15,30,30,30,30,6,18,18,12,12,10,15,10,10,10,
10,10,10,10,20,20,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,105,278,160,66,400,
840,65,105,180,525,1500,810,300,420,400,96,160,800,800,15,65,210,270,840,45,
90,240,375,405,270,180,630,840,240,840,360,360,2520,180,540,420,420,400,960,
360,600,480,360,600,720,720,90,240,150,210,150,90,210,300,360,480,720,120,240,
96,288,288,120,80,80,240,160,160,480,480,800,160,160,6,45,45,180,10,70,840,
105,30,315,1260,135,270,630,180,60,30,40,45,180,45,30,120,60,180,30,60,60,120,
90,90,60,150,150,90,300,180,180,240,180,240,720,90,90,180,90,150,240,480,120,
60,180,720,300,180,720,240,360,480,240,240,180,720,60,90,120,240,360,150,180,
120,120,480,90,150,180,180,240,480,90,90,90,60,180,90,300,120,240,240,120,120,
240,240,120,120,120,96,288,288,192,192,120,200,240,160,160,160,200,240,240,
240,240,480,160,160,160,160,160,160,160,18,45,105,210,180,45,45,45,180,180,
360,30,40,30,60,45,60,120,180,30,90,150,60,120,180,180,180,30,30,50,90,90,90,
90,180,240,240,90,90,60,60,90,90,90,90,180,120,60,240,240,480,120,60,60,60,
240,30,30,60,90,120,180,90,90,180,180,90,180,120,120,45,60,60,120,30,60,60,60,
60,30,60,120,60,120,60,60,60,60,60,60,60,60,120,120,60,120,120,120,60,120,120,
60,60,60,60,60,60,120,96,96,96,10,20,40,80,240,80,120,120,80,80,120,80,200,
240,240,40,40,80,80,80,160,16,48,1,5,10,60,90,90,90,30,90,90,90,90,90,60,120,
15,10,60,30,120,60,30,45,45,30,30,15,15,15,30,30,15,15,30,30,30,30,45,60,120,
60,60,60,60,60,30,30,30,30,30,30,30,30,120,30,60,60,60,60,60,60,60,60,120,120,
120,6,96,10,30,20,40,30,60,40,120,20,60,40,40,40,80,80,80,40,40,48,48,96,32,
32,30,10,15,15,30,30,15,15,45,15,15,30,30,30,30,30,30,30,30,30,30,30,30,60,6,
18,18,10,20,30,30,10,20,10,10,10,20,20,20,20,60,20,40,16,48,16,16,16,16,5,15,
15,15,15,15,15,6,18,18,12,12,10,10,10,20,10,10,10,10,20,16,16,15,6,6,6,5,10,6,
5,1,1],[1,165,220,330,495,396,880,660,495,165,495,55,396,144,330,660,495,55,
220,396,330,165,165,110,165,144,198,55,55,55,66,55,11,12,11,1],[1,45,42,112,
288,14,168,7,105,63,252,126,84,64,1008,672,64,45,42,42,168,48,63,63,126,168,
168,504,84,252,126,448,56,112,56,84,280,168,336,112,224,336,192,3,7,14,168,21,
63,252,126,21,126,126,126,126,448,64,128,64,112,168,168,168,168,252,168,336,
336,21,42,21,42,126,63,112,224,64,192,28,7,14,56,84,56,56,168,56,84,84,24,48,
64,1,21,21,112,28,21,42,42,84,24,64,3,28,56,24,48,1,7,14,21,21,28,24,1,21,1,7,
3,7,1,1,2,1,3,1,1],[1,153,294,64,192,26,592,600,133,141,588,693,1332,1314,444,
468,624,64,192,448,1344,576,960,45,171,150,294,600,147,24,270,48,225,549,810,
300,234,312,312,744,1080,1176,1368,300,612,1044,756,624,1440,792,936,648,360,
792,648,1584,1296,162,648,450,162,306,234,234,612,648,720,216,1584,24,216,312,
144,256,32,16,112,32,48,256,96,128,48,192,64,64,320,192,576,576,576,576,576,
192,576,192,192,3,18,3,49,147,540,19,14,168,75,39,117,468,405,810,342,21,396,
75,162,99,84,117,324,81,117,180,84,54,324,42,6,78,54,126,6,54,90,180,162,324,
324,108,108,108,216,234,162,450,234,306,234,468,612,324,648,324,504,1584,450,
162,324,162,126,360,720,162,198,396,1296,90,324,324,1584,396,648,720,468,648,
396,216,216,1296,162,126,252,216,648,162,324,234,180,216,432,234,162,324,180,
504,432,162,90,180,54,126,126,252,162,324,324,216,216,360,216,168,936,936,504,
648,72,72,648,72,72,72,144,144,144,144,256,256,256,48,112,16,192,96,144,144,
48,48,48,96,96,288,192,96,768,192,384,144,96,384,96,48,96,96,144,48,288,96,96,
96,192,64,192,192,64,96,96,192,192,192,576,192,192,192,192,192,192,54,135,39,
42,21,324,75,81,81,117,324,396,648,99,84,117,162,81,84,180,54,324,78,162,162,
126,252,108,180,324,54,18,42,54,126,90,90,54,324,504,216,54,54,54,90,180,162,
234,162,108,162,162,162,162,324,54,72,180,108,216,360,432,324,216,54,162,6,90,
108,117,90,162,216,27,54,81,63,126,54,252,180,162,90,108,324,162,324,180,108,
108,81,156,108,12,252,468,324,252,36,12,36,108,324,18,234,162,126,126,252,162,
162,54,54,36,108,54,54,162,162,108,324,108,108,324,54,162,18,54,162,162,162,
18,18,108,324,108,168,72,180,108,108,108,180,216,216,108,180,108,72,36,72,36,
180,108,108,180,108,216,216,36,72,180,108,108,36,216,324,324,108,108,36,180,
324,324,216,216,324,324,324,324,324,324,216,108,108,180,108,36,180,108,216,
216,36,324,108,324,108,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,64,128,
64,256,28,4,8,56,8,48,16,32,16,32,96,128,144,48,48,48,48,24,48,96,144,96,48,
96,48,48,144,48,192,96,48,48,96,144,96,144,288,48,96,96,96,96,288,96,48,48,48,
48,48,96,48,48,48,96,192,96,96,96,96,96,96,96,192,192,3,1,18,2,6,54,21,126,90,
54,54,39,81,27,36,162,54,162,162,162,90,108,39,27,21,3,63,21,126,21,27,108,27,
36,54,6,18,54,162,18,6,54,81,27,27,27,81,162,162,54,81,54,54,18,9,27,81,81,27,
9,9,54,54,90,54,27,27,54,54,54,90,54,54,54,90,108,54,54,54,54,18,18,36,81,12,
36,108,108,108,108,36,108,36,180,108,108,108,12,108,36,36,36,180,108,108,180,
108,180,108,108,108,108,108,108,36,36,84,162,162,54,54,18,18,54,18,54,54,54,
108,54,54,36,162,54,18,162,54,18,18,18,90,162,324,162,108,216,162,18,18,36,
162,324,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,324,324,36,36,36,36,36,
36,36,36,324,324,324,324,36,36,108,108,216,36,36,36,36,72,36,108,108,108,36,
36,36,36,36,72,36,36,36,36,36,36,72,72,64,64,64,64,64,64,128,4,24,28,36,12,72,
48,144,48,12,36,24,12,12,48,16,16,48,48,144,48,48,72,24,72,24,24,48,48,48,48,
48,96,48,48,48,48,96,192,96,48,48,48,48,48,48,48,48,48,48,48,48,48,96,96,3,3,
27,21,9,27,9,3,9,27,54,54,54,9,54,6,18,54,162,6,18,18,54,27,27,18,54,54,27,27,
18,27,27,27,27,9,9,9,9,18,27,27,18,54,54,54,18,27,27,27,27,27,9,81,81,27,9,90,
54,54,54,18,54,54,54,18,54,54,54,108,18,54,36,54,54,54,18,18,54,18,18,18,18,
18,18,18,162,18,18,18,18,18,18,18,18,18,18,36,18,54,36,36,36,36,36,36,36,36,
36,108,36,36,36,36,108,36,36,36,36,36,16,16,32,64,64,1,2,4,12,8,8,24,8,8,12,
36,36,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,
12,24,24,72,24,72,24,24,24,24,24,24,24,48,48,48,48,9,1,3,3,9,27,9,27,9,9,9,27,
27,9,9,9,9,27,27,27,27,9,9,27,9,9,9,9,9,9,9,27,9,9,9,54,18,54,18,18,18,18,18,
18,18,18,18,16,16,32,16,16,16,16,1,9,9,4,12,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,9,3,9,
3,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,1,1,3,2,3,3,9,9,3,6,6,12,12,12,12,9,4,4,4,8,
3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,249,198,256,42,336,504,141,85,1116,
837,900,1458,348,756,432,1664,384,1536,21,171,126,342,504,171,168,198,144,225,
405,810,252,378,504,168,600,936,1224,1512,348,468,612,900,432,864,1224,792,
360,1224,936,792,1584,1296,162,216,306,234,450,306,234,468,648,432,936,1584,
216,24,312,144,256,96,48,256,224,144,256,384,1536,1152,384,768,384,1,6,21,33,
99,396,21,42,504,75,21,189,756,189,486,378,75,324,33,54,117,108,117,324,81,63,
108,84,234,396,78,54,42,6,126,54,6,162,324,90,180,108,324,108,108,216,450,162,
198,234,234,162,468,468,324,216,324,648,1296,306,162,324,234,126,216,432,90,
450,324,1296,306,396,396,1584,468,648,432,252,216,468,936,936,1584,126,162,
180,216,360,90,180,126,108,216,432,162,162,180,324,360,432,54,234,468,162,234,
162,468,126,252,180,504,216,216,504,168,936,504,936,72,648,648,72,72,72,72,
144,144,144,144,256,512,128,48,192,96,192,144,48,48,768,288,96,960,144,288,96,
192,144,96,288,384,288,128,384,96,96,768,384,384,384,384,18,63,63,126,75,324,
33,81,81,117,324,324,648,117,108,63,54,81,84,108,234,396,54,90,90,162,180,324,
324,180,18,54,54,54,162,162,162,162,180,360,216,42,162,162,234,468,54,126,54,
108,90,126,54,54,108,234,168,108,108,216,216,432,180,504,6,90,54,162,108,63,
54,54,216,117,234,27,81,90,162,180,324,90,162,324,180,54,108,108,108,252,81,
156,12,108,468,252,36,252,324,108,324,12,36,162,126,18,234,126,252,54,54,162,
162,324,324,162,162,54,54,108,108,108,108,36,54,54,162,162,18,18,18,162,162,
324,108,108,168,72,108,108,36,36,108,72,72,180,180,180,216,108,216,108,180,
180,36,180,36,216,72,108,216,108,108,108,108,216,36,180,324,324,324,324,108,
108,216,216,180,180,36,108,108,108,216,324,324,324,324,324,324,108,216,216,
324,108,324,36,108,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,256,256,24,8,
12,60,32,48,96,96,192,48,144,48,24,48,96,192,384,48,96,192,144,96,144,144,96,
48,96,96,96,384,288,96,48,96,48,48,96,96,144,288,96,96,96,96,96,96,384,1,3,2,
18,54,6,27,90,162,162,162,21,27,117,84,54,162,54,90,54,54,108,21,3,39,27,63,9,
54,21,27,108,63,84,54,54,162,6,18,18,54,6,27,81,81,81,27,54,18,54,27,54,162,
162,81,81,9,27,27,27,27,54,54,54,54,9,9,18,54,54,54,54,54,18,54,36,90,54,90,
90,54,54,108,81,36,12,108,108,36,108,108,108,12,180,180,36,180,36,180,108,108,
108,108,108,108,108,36,108,108,108,36,36,36,108,108,108,84,54,18,162,54,162,
54,54,54,18,18,54,36,54,54,108,18,162,162,54,54,18,18,162,162,18,108,90,324,
216,18,162,162,324,18,36,18,36,36,36,36,36,36,36,36,36,36,36,36,324,324,36,36,
36,36,36,36,36,36,36,36,36,108,108,36,324,324,324,324,216,36,36,36,36,72,36,
108,108,108,36,36,36,36,36,72,36,36,36,36,36,36,72,72,128,128,256,4,12,72,12,
84,48,112,72,36,36,12,12,32,48,48,48,192,48,72,24,72,24,24,48,48,96,48,96,144,
48,48,96,96,288,48,96,48,96,48,48,48,48,96,96,3,3,27,9,21,9,27,9,3,9,54,54,54,
27,54,54,162,6,18,18,6,54,18,27,27,54,18,18,27,27,54,27,9,9,27,27,27,27,27,54,
9,9,54,18,18,18,54,27,27,27,27,81,81,9,27,27,9,54,54,18,54,54,90,54,54,54,54,
18,18,36,54,54,108,18,54,18,54,54,54,18,18,18,18,18,18,162,18,18,18,18,18,18,
18,18,18,18,18,36,54,18,36,36,36,36,36,36,36,36,36,108,36,36,36,36,108,36,36,
36,36,36,16,48,128,1,2,12,12,8,24,8,8,12,12,12,36,36,36,12,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,24,72,72,24,24,24,24,24,24,24,24,24,48,
96,48,1,9,3,9,3,9,27,9,27,27,27,9,9,9,9,9,27,9,27,9,9,27,27,27,9,9,9,9,9,9,9,
27,9,9,9,18,54,18,54,18,18,18,18,18,18,18,18,16,48,16,16,32,3,7,9,4,12,6,12,
12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,1,1,3,2,3,3,9,9,3,6,
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],[1,153,294,64,
192,18,912,312,85,117,540,909,1044,1098,444,468,624,64,192,448,1344,576,960,
45,195,78,174,312,99,72,126,48,225,333,450,684,162,216,504,648,552,936,792,
300,900,1044,1044,624,1440,792,792,504,504,504,504,1296,1872,90,360,450,162,
450,162,378,900,936,720,360,1296,72,72,504,144,256,96,208,32,240,288,96,192,
64,192,192,192,576,192,960,576,576,192,576,192,192,3,6,9,21,99,252,57,14,168,
75,63,81,324,153,342,198,63,252,75,90,225,156,189,180,45,189,180,252,90,252,
126,18,126,18,378,18,18,126,252,126,252,180,180,180,180,360,378,90,450,378,
450,162,756,900,180,360,180,936,1008,450,90,180,162,378,360,720,126,450,252,
720,126,252,252,1296,900,936,720,756,360,252,360,360,1008,162,126,324,216,648,
90,180,162,180,360,432,162,162,324,180,648,432,54,90,252,54,162,162,252,126,
252,252,216,216,360,216,504,1512,1512,1512,216,216,216,216,72,72,72,144,144,
144,144,256,256,256,48,112,448,336,336,288,288,192,960,192,240,96,480,96,288,
144,480,288,192,192,64,192,64,192,192,192,576,192,192,192,192,192,192,18,51,
27,42,63,180,75,45,45,189,180,252,360,225,156,189,90,45,252,180,90,252,54,90,
90,162,324,108,180,180,18,18,54,54,126,90,90,54,324,648,216,54,90,54,90,252,
90,162,90,180,90,126,54,54,108,90,72,180,180,216,360,432,252,216,18,126,18,
126,180,81,90,90,216,45,90,45,81,162,54,324,180,90,90,108,180,54,108,180,108,
108,45,252,36,36,756,756,108,756,108,36,108,36,108,54,378,54,378,378,756,90,
90,90,90,108,180,90,90,90,90,180,180,180,180,108,90,90,54,90,54,54,54,54,54,
180,180,180,504,24,180,180,36,108,180,72,72,180,180,180,72,36,72,108,180,180,
108,180,36,216,72,36,72,180,180,180,108,216,108,252,180,180,108,252,180,180,
360,360,252,252,108,180,180,180,360,180,180,252,180,108,252,180,360,360,108,
180,180,108,180,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,64,192,256,24,
36,60,8,56,48,32,48,32,96,96,144,48,144,288,48,144,240,480,96,48,96,144,96,
288,96,288,48,48,96,48,144,96,288,96,192,192,1,1,6,6,18,18,27,162,90,54,54,27,
45,45,36,54,54,54,90,54,90,108,63,9,63,9,189,21,126,21,27,108,27,36,54,18,54,
18,54,6,18,18,27,27,45,45,45,90,54,90,45,90,90,54,27,45,27,45,45,27,27,54,90,
90,90,27,27,18,90,90,90,90,90,18,90,36,90,54,90,90,18,18,36,45,36,36,180,180,
108,180,108,180,36,180,180,36,180,36,180,36,36,36,180,180,180,180,36,180,180,
180,108,36,36,180,108,36,252,90,54,90,90,54,54,54,54,54,54,54,36,54,54,36,54,
90,54,90,90,18,18,54,126,54,180,126,180,360,54,54,54,108,54,108,18,36,36,36,
36,36,36,36,36,36,36,36,36,108,108,108,108,36,36,36,36,36,36,36,36,108,180,
180,108,108,108,180,180,360,36,36,36,36,72,36,180,180,180,36,36,36,36,36,72,
36,36,36,36,36,36,72,72,64,64,64,64,64,192,28,168,28,36,36,48,120,48,144,36,
60,24,48,48,48,48,72,72,72,72,24,48,48,96,144,48,96,288,96,48,48,48,48,48,48,
9,3,27,21,9,9,9,9,9,27,90,90,90,27,90,18,54,18,54,18,18,54,54,27,27,54,18,54,
27,27,18,27,27,9,27,9,27,27,27,54,27,27,54,54,54,54,54,45,45,45,9,45,27,27,45,
45,9,90,90,18,90,18,90,54,54,54,54,54,54,36,54,54,36,18,54,54,54,18,54,18,18,
18,18,18,18,54,54,18,18,18,18,18,18,18,18,18,18,36,54,54,36,36,36,36,36,36,36,
36,36,180,36,36,36,36,180,36,36,36,36,36,48,32,64,64,1,1,4,12,8,24,24,36,12,
36,60,24,12,36,36,36,12,12,36,24,12,72,72,24,72,24,72,24,24,24,24,24,48,48,3,
3,1,3,3,27,27,27,27,9,9,9,9,9,9,9,27,27,27,9,27,27,9,27,9,9,9,9,9,9,9,45,9,9,
9,54,54,54,54,18,18,18,18,18,18,18,18,48,32,16,16,1,9,7,3,9,9,4,4,12,12,12,36,
24,12,12,12,12,12,12,36,36,24,24,24,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,3,3,
1,1,2,3,3,9,9,9,3,3,9,3,3,12,12,9,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,
4,4,3,3,1,1,1,1],[1,273,126,448,42,112,168,301,105,1596,945,252,1890,252,1260,
336,1344,448,1344,512,3,315,42,630,168,399,168,630,48,63,945,1890,84,126,168,
168,2520,2520,504,252,252,252,756,336,1512,504,2520,1512,504,1008,1008,126,
126,126,378,630,126,252,504,1512,1008,168,168,672,112,1680,336,448,1344,1344,
42,21,105,315,1260,7,14,168,21,63,252,945,1890,126,63,252,63,84,63,252,63,378,
252,42,42,42,126,252,252,378,126,126,126,126,252,252,252,252,504,1008,126,126,
252,126,378,252,1008,630,252,252,1008,252,504,756,1512,1512,1008,126,252,504,
126,252,126,126,252,252,504,126,378,756,126,378,126,756,126,252,1512,1512,504,
504,504,504,512,336,112,448,336,336,336,336,2016,672,336,672,336,336,672,672,
448,672,672,126,315,21,42,63,252,63,63,63,252,252,504,63,84,63,378,252,42,126,
126,126,252,252,252,252,42,42,42,42,126,126,126,126,252,504,126,126,378,756,
126,126,126,126,252,378,504,1512,42,126,189,378,63,126,126,252,252,126,126,
252,252,126,252,756,63,84,84,252,252,84,252,126,126,126,126,252,252,126,126,
126,126,126,126,252,168,252,252,252,504,252,504,252,252,252,504,252,504,252,
252,252,252,252,252,252,252,252,252,252,252,168,420,112,224,336,336,336,672,
336,672,336,336,336,336,672,672,672,672,192,384,7,1,14,42,21,126,126,126,126,
189,252,126,126,126,126,126,21,21,21,126,189,252,42,126,42,42,63,63,63,63,126,
126,63,63,126,126,126,126,126,126,252,63,252,252,252,252,252,252,252,252,126,
126,126,126,252,126,126,126,126,252,126,126,252,252,252,252,252,252,252,28,
168,252,336,84,84,84,112,336,336,168,168,21,63,21,21,42,126,63,63,126,63,63,
63,63,63,126,126,126,126,252,126,126,126,64,192,192,7,28,56,168,84,84,84,84,
84,84,84,84,168,168,168,7,7,21,63,63,63,63,7,21,21,28,84,84,8,21,7,7,21,21,8,
24,24,7,7,1],[1,105,198,64,480,66,840,65,105,180,405,1260,810,180,180,96,160,
480,960,1440,15,45,210,270,840,45,90,240,315,405,270,630,840,840,360,360,2520,
180,180,180,180,360,360,360,360,720,90,90,90,90,90,90,720,640,96,288,288,96,
680,160,240,1200,480,320,480,480,480,384,6,45,45,180,70,840,105,315,1260,135,
270,630,180,45,180,45,180,90,90,90,90,90,180,180,180,720,90,90,180,90,180,720,
180,180,720,180,720,90,90,180,90,90,180,90,90,90,180,90,180,640,96,288,288,
120,120,240,360,480,720,480,480,240,720,480,960,160,384,18,45,105,210,180,45,
45,45,180,180,360,45,180,30,90,90,180,180,180,30,30,30,90,90,90,90,90,90,90,
90,90,90,180,90,180,90,90,180,180,90,180,45,120,320,480,96,24,150,60,40,280,
160,160,480,240,360,240,120,120,240,240,16,48,96,1,5,90,90,90,90,90,90,90,90,
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],[1,105,198,544,6,240,360,45,185,180,225,
900,630,180,180,96,160,480,2400,75,45,90,90,360,45,90,135,225,270,60,90,120,
120,480,360,360,720,180,180,540,180,360,360,360,360,360,720,90,360,270,90,90,
90,90,180,720,120,120,640,96,288,288,96,240,320,880,360,800,480,480,384,5,6,
15,45,180,45,15,45,180,135,270,180,180,45,90,45,180,45,45,180,30,30,30,90,180,
180,90,90,270,90,90,90,180,180,180,360,180,720,270,90,180,90,90,180,720,180,
180,720,180,360,180,720,90,90,180,90,90,90,90,180,180,360,360,360,360,640,96,
288,288,120,120,240,240,480,480,480,360,720,480,720,160,480,480,384,18,45,15,
180,45,45,45,45,180,180,360,45,90,45,180,30,90,90,180,30,30,90,90,90,90,90,90,
90,180,180,30,90,45,90,45,90,180,90,180,45,60,60,180,180,60,180,90,90,90,90,
90,90,180,180,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,
800,96,24,40,30,60,160,240,240,360,120,120,240,120,240,480,480,64,96,1,10,30,
15,45,90,90,90,90,15,15,30,90,30,45,45,90,90,45,45,45,45,90,90,90,90,90,180,
90,90,90,180,180,180,180,180,180,180,160,6,10,30,90,60,60,60,120,120,120,120,
120,240,96,15,30,90,45,45,90,80,120,6,18,18,64,1,10,30,40,120,40,40,30,30,60,
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],[
1,285,90,400,195,95,1380,225,180,900,60,1080,576,1840,240,1680,15,270,240,300,
45,225,450,120,900,300,60,180,1440,180,180,1800,1080,180,360,90,360,90,180,
450,1080,360,120,180,360,160,576,20,640,840,80,240,1680,720,240,240,240,1,15,
30,15,225,225,15,90,45,270,90,30,45,45,45,90,180,90,90,90,180,180,45,450,90,
90,360,540,1080,1080,360,180,90,180,135,45,90,90,540,540,180,360,360,180,180,
180,180,360,360,360,360,160,640,576,20,60,120,120,120,720,1440,60,360,240,480,
120,480,80,240,120,240,240,240,240,240,15,15,45,270,90,45,60,90,45,45,45,90,
180,90,540,15,45,45,45,90,270,60,180,30,90,90,45,90,90,90,45,135,45,90,180,
180,90,180,90,90,90,90,90,180,90,90,90,90,180,180,180,180,180,180,360,160,80,
320,20,60,20,60,120,180,60,120,120,240,60,60,360,240,120,480,60,60,120,120,
120,240,96,384,15,90,45,15,45,45,45,45,90,60,60,90,90,90,90,45,45,45,45,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,80,80,80,160,36,80,120,60,15,20,120,60,60,
60,60,60,60,60,60,120,120,120,96,192,15,15,45,45,45,45,45,90,90,90,90,10,80,
36,15,60,15,15,15,15,15,15,15,60,60,60,45,10,20,20,36,16,16,15,30,15,15,15,15,
15,15,15,10,10,10,16,16,15,15,6,6,10,6,6,1,1],[1,225,270,160,96,6,720,216,117,
69,1044,405,972,918,540,540,720,96,1056,672,864,1440,864,9,81,54,90,216,153,
144,198,189,189,378,324,54,72,432,288,792,360,432,180,756,540,756,288,864,864,
216,1080,864,648,1728,1728,162,378,162,270,270,270,540,648,864,864,864,216,
216,128,128,96,72,240,48,48,72,96,288,288,96,1440,864,288,864,864,864,288,288,
864,288,6,18,15,45,180,18,27,54,27,108,189,270,108,18,216,36,54,72,27,108,81,
54,216,108,216,108,54,54,54,54,108,216,216,108,108,432,162,162,108,162,162,54,
324,324,108,108,648,432,54,162,324,162,270,216,432,216,216,864,270,108,324,
432,432,432,432,432,432,864,864,864,216,216,432,54,108,108,216,432,162,162,
324,108,648,54,162,324,108,108,216,216,270,108,216,432,216,216,432,216,216,
432,432,648,648,128,128,384,768,384,96,72,384,216,288,72,72,576,144,144,144,
288,288,216,144,288,144,72,144,144,144,288,144,288,96,96,288,288,288,288,288,
288,864,288,288,288,288,64,18,45,9,18,216,27,27,27,108,108,216,54,72,54,81,
108,108,216,108,18,162,54,162,324,108,108,108,18,36,216,432,108,108,108,216,
108,216,54,54,54,54,108,162,144,108,108,216,432,54,54,108,54,108,54,108,54,
108,216,54,54,108,108,54,108,108,108,216,27,108,108,108,216,324,162,54,108,54,
54,108,108,108,108,216,216,108,54,54,54,54,108,216,216,108,108,216,216,216,
108,216,108,108,108,108,108,108,216,108,108,108,216,432,108,108,216,216,216,
216,432,108,108,108,216,216,108,216,216,108,108,96,96,384,384,24,6,6,60,72,48,
48,72,72,72,72,144,72,144,144,144,216,144,72,72,216,144,288,144,288,144,144,
144,72,144,72,72,72,144,144,288,288,64,128,128,1,18,108,54,72,54,54,54,54,54,
54,27,27,18,108,9,27,54,72,27,54,108,54,54,54,27,27,54,108,27,27,54,54,54,54,
54,54,54,54,54,54,108,27,108,108,216,108,108,108,108,108,108,216,108,216,108,
54,54,54,54,54,54,108,54,54,108,108,216,108,108,216,108,108,216,108,108,216,
96,96,96,96,96,96,6,24,144,6,18,18,72,96,36,36,18,36,18,72,72,72,72,72,36,72,
36,72,72,144,72,72,72,72,144,144,72,72,72,72,64,64,64,18,18,9,54,54,54,54,27,
27,27,27,54,54,27,27,54,54,54,54,54,54,108,54,54,54,54,108,24,24,96,96,1,6,6,
36,18,18,18,18,18,18,36,18,18,18,18,36,18,18,72,36,36,72,36,36,72,72,64,9,27,
27,27,27,27,27,24,24,24,24,24,24,6,6,9,6,6,18,18,18,18,18,18,18,36,18,18,18,
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],[1,315,1120,
735,630,1890,2016,3360,960,315,315,3780,945,1260,280,2016,4200,2520,21,21,315,
315,945,945,945,280,960,2520,2520,315,315,945,840,210,210,1260,1344,1008,105,
280,126,126,210,210,126,126,360,105,168,21,21,1],[1,315,616,175,1470,1890,336,
2800,2520,960,15,120,525,2520,1890,315,1260,210,280,336,700,350,840,280,2520,
840,336,35,315,1260,315,1260,630,280,1120,1008,960,840,1680,840,1260,420,840,
210,840,840,336,105,420,105,315,630,280,280,560,35,35,70,420,840,210,210,120,
120,56,168,336,315,280,280,35,140,105,105,105,105,210,168,168,35,120,240,120,
120,56,105,105,105,35,35,35,28,56,35,28,15,15,8,1],[1,281,294,448,42,784,504,
301,133,1596,1365,1092,2226,700,1428,1008,1344,1344,2240,512,17,399,126,630,
504,399,168,630,48,189,1029,1890,588,210,280,392,616,2520,2744,1176,364,1092,
1092,1764,1008,2016,1848,1512,504,2520,1848,840,2352,3024,210,504,378,210,714,
714,378,1092,1512,1008,1512,2352,168,168,504,336,672,112,1680,336,448,448,
1344,2240,1344,448,448,512,1,42,21,105,343,1260,49,14,168,63,49,105,420,945,
1890,294,91,588,49,126,273,252,189,420,105,147,252,196,378,420,126,42,98,42,
294,42,42,294,588,126,252,252,420,252,252,504,546,210,294,378,546,378,756,
1092,420,504,420,1512,2352,378,210,420,210,294,504,1008,126,714,588,1680,630,
420,420,2352,1092,1512,1008,588,504,924,1512,1512,1680,126,294,756,168,1512,
210,420,126,252,504,336,210,378,756,420,1512,336,210,378,924,126,546,378,924,
210,420,252,1512,168,504,1512,392,1512,1176,1512,504,504,504,504,168,168,168,
336,336,336,336,512,336,112,1344,224,1008,336,336,336,2016,672,224,336,1120,
224,560,336,672,224,1120,448,448,672,672,448,448,448,448,448,126,315,35,42,91,
420,49,105,105,189,420,588,840,273,252,147,126,105,196,252,378,420,70,210,210,
378,756,252,420,420,70,42,126,126,294,210,210,126,756,1512,168,42,210,126,378,
924,126,126,126,252,210,210,210,210,420,378,504,252,252,168,504,336,252,1512,
42,126,42,294,252,63,126,126,168,189,378,63,189,378,126,756,420,210,210,252,
420,210,420,252,84,756,105,252,84,84,756,588,252,588,252,84,252,84,252,126,
294,126,378,294,588,126,126,210,210,252,420,210,210,126,126,252,252,252,252,
252,126,126,126,210,126,126,126,126,126,420,252,252,392,168,252,252,84,252,
252,168,168,420,420,420,504,252,504,84,420,420,252,420,84,840,168,252,504,252,
252,252,84,168,252,252,420,420,252,588,252,252,504,504,252,252,252,252,252,
252,504,420,420,588,420,252,588,252,504,504,252,252,420,252,252,84,84,84,84,
84,168,168,168,168,168,168,168,168,168,336,512,168,420,112,112,224,336,112,
112,336,112,224,560,1120,336,672,336,336,336,336,336,224,112,224,672,672,672,
224,112,112,112,112,224,112,112,224,224,672,672,224,224,448,192,384,7,1,14,14,
42,42,63,378,210,126,126,21,63,189,252,210,126,210,210,210,126,84,49,21,63,21,
147,63,378,7,21,84,189,252,42,42,126,42,126,42,42,42,105,63,105,105,63,126,
126,126,63,126,210,126,63,105,63,63,63,21,21,42,126,126,126,63,63,42,126,126,
126,126,126,42,126,84,210,210,210,210,126,126,252,105,28,84,252,252,252,252,
84,252,84,420,420,84,420,28,420,252,252,252,252,252,252,252,84,252,252,252,
252,84,84,252,84,252,196,126,126,210,126,126,42,42,42,126,126,42,84,210,210,
252,126,210,126,126,126,42,42,126,294,126,252,126,420,504,126,126,126,252,126,
252,42,84,84,84,84,84,84,84,84,84,84,84,84,252,252,252,252,84,84,84,84,84,84,
84,84,252,252,252,252,252,252,420,420,504,84,84,84,84,168,84,252,252,252,84,
84,84,84,84,168,84,84,84,84,84,84,168,168,84,504,252,336,140,84,84,112,112,
112,336,336,112,280,280,112,112,112,112,224,112,112,112,112,112,112,112,112,
112,112,112,224,224,64,7,1,21,63,63,35,21,7,21,63,126,126,126,21,126,42,126,
42,126,14,42,42,126,21,21,42,42,126,105,105,126,21,63,21,105,63,21,21,21,42,
63,63,42,126,126,126,42,63,63,63,63,105,63,63,63,63,21,126,126,42,126,126,210,
210,210,42,42,126,126,84,42,42,252,42,42,126,42,126,210,42,42,42,42,42,42,126,
126,42,42,42,42,42,42,42,42,42,42,84,42,126,84,84,84,84,84,84,84,84,84,252,84,
84,84,84,252,84,84,84,84,84,64,192,192,7,28,56,168,56,84,84,140,84,28,28,28,
84,84,28,28,28,28,84,84,28,84,84,28,28,168,168,280,168,56,112,112,112,7,7,7,
21,7,63,21,63,21,63,63,21,21,21,21,21,21,63,21,21,63,21,63,105,21,21,21,21,21,
21,21,63,21,21,21,126,42,126,42,42,42,42,42,42,42,42,42,64,64,64,21,21,35,28,
28,28,28,28,28,28,28,28,28,28,28,28,84,28,84,28,84,28,28,28,56,56,56,56,8,7,
21,21,7,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,21,21,35,7,28,28,28,8,21,8,
24,24,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,281,294,448,98,336,1176,301,189,
1484,1197,1764,2394,700,1428,1008,1344,1344,2240,512,29,315,294,798,1176,371,
120,630,336,441,1197,1890,140,882,1176,168,1176,2520,2520,3528,700,756,1092,
1092,1008,2016,2184,1512,504,1848,2184,1512,3024,1680,378,504,546,378,546,714,
378,420,840,1008,1176,3024,168,168,280,336,224,336,336,224,560,448,448,1344,
2240,1344,448,448,512,1,42,15,133,315,1260,7,98,1176,147,21,441,1764,945,1890,
882,49,756,49,126,63,84,189,756,189,63,252,28,294,756,42,42,42,42,42,42,42,
126,252,126,252,252,252,84,84,168,546,378,294,378,378,378,756,420,756,504,756,
504,3024,546,378,756,378,42,504,1008,126,294,756,3024,462,756,756,3024,252,
840,1008,252,504,1092,1176,1176,3024,126,378,252,504,840,378,756,294,252,168,
1008,546,378,420,756,504,1008,378,546,588,378,294,126,1092,378,756,252,1176,
504,504,1176,56,840,504,504,504,504,504,504,168,168,168,336,336,336,336,512,
336,336,448,672,560,560,560,560,672,672,672,448,560,672,672,560,560,672,672,
672,672,448,448,672,672,1120,448,448,448,448,448,126,315,147,294,49,756,49,
189,189,189,756,756,1512,63,84,63,126,189,28,252,294,756,182,378,378,126,252,
756,756,756,126,126,42,126,378,378,378,378,420,504,504,42,126,378,546,588,126,
294,126,84,378,378,378,378,756,294,392,252,84,504,504,1008,252,1176,42,126,42,
126,84,147,126,126,504,147,294,63,63,126,378,252,756,378,378,756,756,378,756,
252,252,588,189,140,84,84,252,252,252,84,252,84,252,84,252,126,126,126,126,42,
84,126,126,126,126,252,252,126,126,126,126,84,252,84,84,252,42,126,126,126,
126,126,126,126,126,252,252,84,56,504,252,84,252,84,252,504,504,252,420,252,
504,252,504,84,420,252,84,420,252,504,504,252,504,252,84,84,84,504,252,252,
252,252,252,252,252,252,168,168,252,252,252,252,252,252,168,252,252,252,252,
252,252,84,168,168,252,252,252,252,84,84,84,84,84,84,168,168,168,168,168,168,
168,168,168,336,512,28,28,112,112,224,224,336,336,336,336,336,672,560,672,560,
672,336,336,336,336,560,672,336,672,224,672,672,224,672,112,112,112,112,224,
112,112,224,224,224,224,224,672,672,672,672,224,448,64,64,7,7,14,14,42,42,21,
126,378,378,378,49,63,147,196,378,378,378,378,378,126,252,21,21,21,21,21,21,
126,49,63,252,147,196,126,42,126,42,126,126,42,42,189,189,63,63,63,126,126,42,
63,42,126,126,63,63,63,63,21,21,21,126,42,126,42,21,21,126,42,42,126,42,42,
126,126,252,126,126,126,126,126,126,252,189,28,28,84,84,84,84,84,84,28,420,
252,252,252,28,252,252,252,252,252,84,84,252,252,252,84,84,84,252,252,84,84,
252,28,126,126,126,42,126,42,126,42,42,42,126,252,126,126,252,126,126,126,126,
42,42,42,126,126,126,252,126,252,168,126,126,126,252,126,252,42,84,84,84,84,
84,84,84,84,84,84,84,84,252,252,252,252,84,84,84,84,84,84,84,84,252,252,252,
252,252,252,252,252,168,84,84,84,84,168,84,84,84,84,84,84,84,84,84,168,84,84,
84,84,84,84,168,168,28,28,56,84,84,56,84,84,84,84,140,112,112,336,336,336,336,
56,56,112,112,112,112,224,112,112,112,112,112,224,112,112,112,112,112,112,224,
224,224,64,64,1,7,63,21,49,63,63,7,7,21,42,42,42,21,42,42,126,42,126,14,14,42,
42,63,63,42,126,42,63,63,126,63,21,63,63,63,21,21,21,42,21,21,42,42,42,42,42,
21,21,21,189,63,63,63,63,21,21,126,42,126,42,126,126,126,126,42,126,42,42,252,
42,126,252,126,126,42,42,126,126,42,42,42,42,42,42,126,126,42,42,42,42,42,42,
42,42,42,42,84,42,42,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,64,64,64,64,64,28,28,56,56,168,168,28,84,84,28,84,84,28,28,28,28,28,28,28,
84,84,84,84,28,28,28,28,28,28,84,84,84,84,84,84,140,28,28,28,56,56,56,56,168,
168,112,112,112,7,7,21,21,21,21,21,21,21,63,63,63,63,21,21,21,21,21,63,63,21,
21,63,63,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,
64,64,64,64,64,64,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,84,84,84,84,28,28,28,28,28,28,28,28,28,56,56,56,56,56,56,21,21,7,7,21,
21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,28,8,21,8,8,7,7,7,7,7,7,8,8,8,8,
8,7,7,1],[1,105,438,64,480,66,1200,840,65,105,180,765,1980,810,540,900,1200,
96,160,640,3360,960,2400,15,105,210,270,840,45,90,240,495,405,270,540,630,840,
720,840,360,360,2520,180,1260,900,900,1200,2880,360,1080,1440,360,1080,720,
2160,90,720,270,450,270,90,450,900,1080,1440,720,360,720,640,96,288,288,96,
680,160,240,1200,480,320,480,480,480,2400,960,1440,960,1440,480,384,6,45,45,
180,30,70,840,105,90,315,1260,135,270,630,180,180,90,120,45,180,45,90,360,180,
180,90,180,180,360,90,90,180,270,270,90,540,540,180,720,180,720,720,90,90,180,
90,450,720,1440,360,180,180,720,540,180,720,720,1080,1440,720,720,180,720,180,
90,360,720,1080,270,180,360,360,1440,90,270,540,180,720,1440,90,90,90,180,180,
90,540,360,720,720,360,360,720,720,360,360,360,640,640,640,96,288,288,576,576,
120,640,840,480,1200,960,2400,960,600,480,720,480,480,240,720,480,960,480,160,
960,480,1440,480,480,480,384,18,45,105,210,180,45,45,45,180,180,360,90,120,90,
180,45,180,360,180,30,90,270,180,360,180,180,180,30,30,90,90,90,90,90,540,720,
720,90,90,180,180,90,90,90,90,180,360,180,720,720,1440,360,180,180,180,720,90,
90,180,90,360,180,90,90,180,180,90,180,360,360,45,180,180,360,90,180,180,180,
180,90,180,120,180,360,180,180,180,180,180,180,180,180,360,360,180,360,360,
360,180,360,360,180,180,180,180,180,180,360,320,480,640,96,288,288,24,150,60,
40,280,160,120,160,480,240,360,240,240,600,720,480,120,480,360,240,480,240,
120,480,240,360,480,720,480,480,16,48,96,384,1,5,30,180,90,90,90,90,90,90,90,
90,90,180,360,45,30,180,90,360,180,30,45,45,90,90,45,45,45,90,90,45,45,90,90,
90,90,45,180,360,180,180,180,180,180,90,90,90,90,90,90,90,90,360,90,180,180,
180,180,180,180,180,180,360,360,360,160,160,320,480,6,288,40,240,10,150,300,
240,480,60,90,120,120,120,120,180,120,120,120,120,480,360,120,480,720,480,240,
120,120,48,48,96,96,96,96,90,30,15,15,90,90,45,45,45,45,45,90,90,90,90,90,90,
90,90,90,90,90,90,180,120,160,160,6,18,18,64,1,5,20,30,40,60,30,30,90,120,30,
30,90,120,60,120,180,60,120,120,120,120,120,120,16,48,24,48,48,48,48,96,5,45,
45,45,45,45,45,120,160,40,40,6,18,18,36,36,64,30,10,15,15,10,30,60,90,120,30,
30,30,30,120,24,48,48,45,10,20,40,6,18,18,16,5,5,10,15,15,15,15,30,6,24,10,20,
10,10,18,16,15,15,30,6,5,10,1,6,5,3,1,1],[1,345,198,544,6,240,360,165,185,
1620,225,900,1350,300,1620,720,96,3680,480,3360,75,45,90,90,360,225,240,270,
135,225,450,60,90,120,120,480,1080,360,720,300,180,540,540,2880,360,360,1800,
1440,1080,1440,1440,270,1080,270,630,270,450,90,180,360,720,1440,1440,360,120,
120,720,640,96,288,288,96,240,320,880,360,800,480,3360,1440,480,2400,480,384,
5,6,30,15,45,180,45,15,45,180,225,270,180,30,360,45,270,45,180,135,45,180,360,
180,90,30,30,90,30,90,180,90,180,540,360,360,270,270,270,90,90,90,180,180,180,
360,180,360,720,270,270,540,630,90,180,360,1440,450,180,180,720,180,360,720,
1440,1440,1440,630,270,540,90,180,360,720,90,90,180,180,360,720,90,270,540,
180,180,180,360,90,180,180,720,720,360,360,360,1080,1080,360,360,360,360,720,
720,720,720,640,1280,96,288,288,576,576,160,480,120,120,1440,720,240,3360,240,
480,480,480,360,240,720,480,720,160,480,480,480,2400,480,480,480,480,384,18,
45,15,30,360,45,45,45,45,180,180,360,45,90,135,360,180,30,90,90,90,180,180,
180,180,30,210,180,180,180,360,90,90,90,180,270,90,90,90,180,270,240,180,720,
30,90,90,90,45,90,90,360,90,180,135,90,90,180,180,90,180,360,45,60,60,180,180,
180,540,60,180,270,90,90,270,270,90,90,180,180,90,90,180,180,180,180,90,90,90,
90,90,90,90,180,180,180,180,360,180,360,540,180,360,180,180,180,180,360,180,
180,180,180,360,180,180,180,180,180,540,180,180,360,180,180,180,360,360,180,
180,180,180,180,180,180,180,360,360,360,360,360,360,360,360,360,720,800,640,
96,288,288,24,40,30,60,160,240,240,360,120,120,120,240,120,240,480,240,360,
240,480,720,240,120,240,480,480,360,720,480,480,480,480,480,64,96,384,1,10,30,
15,45,90,120,90,90,90,90,90,15,15,45,90,120,90,30,90,30,45,45,90,90,90,135,90,
90,45,45,45,135,45,90,90,90,90,90,90,180,45,180,180,180,180,180,180,180,180,
180,180,180,180,90,90,90,90,90,180,90,90,90,90,90,180,90,180,90,180,90,90,180,
90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,160,160,800,6,288,10,
30,120,240,160,180,90,60,60,60,120,120,120,120,120,60,120,120,360,120,240,480,
720,120,120,240,240,480,192,96,30,15,45,45,90,30,90,90,45,45,45,45,90,45,45,
45,45,90,90,90,180,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,
180,180,180,180,80,120,160,6,18,18,64,1,10,30,40,120,40,40,30,30,90,60,60,30,
60,60,60,60,30,90,60,60,60,120,60,120,60,120,120,120,120,120,120,120,24,96,5,
45,45,45,45,45,45,90,90,90,90,80,120,40,40,6,18,18,36,36,64,10,15,10,30,30,60,
60,60,90,60,30,30,30,30,120,120,120,120,120,24,45,10,40,40,6,18,18,5,5,10,15,
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,
273,126,448,960,42,112,168,301,105,1596,945,252,1890,252,1260,336,1344,448,
1344,4032,512,3,315,42,630,168,399,168,630,48,63,945,1890,84,126,168,168,2520,
2520,504,252,252,252,756,336,1512,504,2520,1512,504,1008,1008,126,126,126,378,
630,126,252,504,1512,1008,168,168,1792,672,112,784,224,1680,672,672,896,336,
448,448,1344,1344,1344,1344,42,21,105,315,1260,7,14,168,21,63,252,945,1890,
126,63,252,63,84,63,252,63,378,252,42,42,42,126,252,252,378,126,126,126,126,
252,252,252,252,504,1008,126,126,252,126,378,252,1008,630,252,252,1008,252,
504,756,1512,1512,1008,126,252,504,126,252,126,126,252,252,504,126,378,756,
126,378,126,756,126,252,1512,1512,504,504,504,504,1792,512,1024,512,336,112,
448,336,336,336,336,2016,672,1008,672,2016,672,336,672,336,336,2016,672,672,
1344,448,672,672,1344,126,315,21,42,63,252,63,63,63,252,252,504,63,84,63,378,
252,42,126,126,126,252,252,252,252,42,42,42,42,126,126,126,126,252,504,126,
126,378,756,126,126,126,126,252,378,504,1512,42,126,189,378,63,126,126,252,
252,126,126,252,252,126,252,756,63,84,84,252,252,84,252,126,126,126,126,252,
252,126,126,126,126,126,126,252,168,252,252,252,504,252,504,252,252,252,504,
252,504,252,252,252,252,252,252,252,252,252,252,252,252,448,1344,448,168,84,
420,56,56,56,112,224,112,224,672,672,1008,336,336,168,336,672,336,672,336,336,
336,336,672,672,336,672,672,192,384,512,7,1,14,42,21,126,126,126,126,189,252,
126,126,126,126,126,21,21,21,126,189,252,42,126,42,42,63,63,63,63,126,126,63,
63,126,126,126,126,126,126,252,63,252,252,252,252,252,252,252,252,126,126,126,
126,252,126,126,126,126,252,126,126,252,252,252,252,252,252,252,448,448,448,
28,168,252,336,84,252,168,84,84,112,336,336,168,168,168,168,168,168,168,336,
336,21,63,21,21,42,126,63,63,126,63,63,63,63,63,126,126,126,126,252,126,126,
126,336,112,224,64,192,192,384,7,1,14,28,84,56,56,168,56,56,84,84,84,84,84,84,
84,84,84,84,168,168,168,168,168,7,7,21,63,63,63,63,112,112,7,21,21,21,28,42,
84,84,84,8,64,21,28,28,56,7,7,7,7,14,14,21,21,21,28,28,8,8,16,24,24,7,7,21,7,
7,8,7,7,1,1],[1,435,1120,735,1890,3150,2016,4480,3360,960,315,210,525,6300,
1890,1575,1890,630,1260,1260,280,2016,4200,2520,3360,960,21,21,315,315,1575,
1890,1575,945,630,1890,630,1260,1260,280,1120,2016,960,2520,840,5040,840,840,
315,525,210,315,945,315,630,945,315,630,630,840,560,960,210,210,1260,840,840,
1344,1008,105,315,315,315,315,315,315,280,280,280,126,126,210,420,210,210,210,
420,672,336,315,280,126,126,360,105,210,210,126,126,120,168,105,56,21,21,21,
21,1,1],[1,435,1120,175,1890,3150,2016,6720,3360,960,15,210,525,3780,3150,315,
1890,210,420,1260,1120,2016,700,1400,2520,1120,3360,3360,960,1,35,105,105,315,
1890,315,315,1890,630,630,1260,1260,1120,2016,960,840,2520,2520,5040,420,840,
840,840,420,3360,105,105,630,105,315,315,630,315,315,630,630,1120,1120,960,35,
35,140,140,280,420,420,840,840,420,840,420,840,420,420,120,336,1680,35,105,
315,315,315,315,315,1120,126,210,210,420,105,105,105,420,840,420,420,120,336,
336,315,70,140,126,120,240,120,35,35,35,35,105,105,105,105,105,105,105,70,140,
126,120,120,120,112,112,105,105,105,105,105,35,70,21,42,35,15,21,16,15,15,7,
1],[1,315,1456,960,735,630,1890,2016,3360,5040,960,315,315,3780,945,1260,1400,
2240,2016,420,4620,2520,1680,2016,21,21,315,315,945,945,945,280,3360,960,1920,
960,2520,2520,1260,1260,1260,1120,2016,315,315,945,840,1680,21,231,210,420,
420,1260,1260,1120,1344,1008,960,105,280,126,126,210,210,315,315,210,210,126,
126,360,336,105,105,105,105,280,126,126,210,210,168,126,126,105,21,21,21,21,1,
1],[1,297,630,448,960,42,2128,1176,301,189,1596,2205,2772,2898,1596,1764,2352,
64,1344,3136,6720,4032,4032,512,45,567,294,630,1176,399,168,630,48,441,1197,
1890,1596,378,504,1176,1512,2520,3192,2520,588,2772,2772,3780,2352,6048,2520,
3528,1512,2520,2520,1512,5040,7056,378,1512,882,378,1386,882,882,2772,3528,
3024,1512,5040,168,504,1176,1008,1792,672,112,784,224,1680,672,672,896,336,
1344,448,448,1344,1344,4032,1344,4032,4032,1344,1344,4032,1344,1344,1536,3,42,
21,105,399,1260,133,14,168,147,147,189,756,945,1890,630,147,1260,147,378,693,
588,441,756,189,441,756,588,378,756,294,42,294,126,882,42,126,630,1260,378,
756,756,756,756,756,1512,882,378,882,882,1386,882,1764,2772,756,1512,756,3528,
5040,882,378,756,378,882,1512,3024,378,1386,1260,3024,630,756,756,5040,2772,
3528,3024,1764,1512,1260,1512,1512,3024,378,630,1764,504,3528,378,756,378,756,
1512,1008,378,882,1764,756,3528,1008,378,378,1260,126,882,882,1260,378,756,
756,1512,504,1512,1512,1176,3528,3528,3528,1512,504,504,1512,504,504,504,1008,
1008,1008,1008,1792,1792,1792,512,1024,512,336,112,112,3136,672,1680,2352,336,
336,336,2016,672,672,1344,672,4032,1344,2688,1008,672,2016,672,336,2016,672,
1008,336,2016,672,672,2016,1344,448,448,1344,448,672,672,1344,1344,1344,4032,
1344,1344,1344,1344,1344,1344,126,315,63,42,147,756,147,189,189,441,756,1260,
1512,693,588,441,378,189,588,756,378,756,126,378,378,882,1764,252,756,756,126,
42,294,294,630,378,378,126,1764,3528,504,126,378,126,378,1260,378,378,378,756,
378,378,378,378,756,378,504,756,756,504,1512,1008,756,1512,126,378,42,630,756,
189,378,378,504,189,378,189,441,882,126,1764,756,378,378,252,756,378,756,756,
252,756,189,588,252,84,1764,1764,756,1764,252,84,252,252,756,126,882,378,882,
882,1764,378,378,378,378,252,756,378,378,378,378,756,756,756,756,756,378,378,
126,378,378,378,378,126,126,756,756,756,1176,168,756,756,252,756,756,504,504,
756,756,756,504,252,504,252,756,756,756,756,252,1512,504,252,504,756,756,756,
252,504,756,756,756,756,252,1260,756,756,1512,1512,756,756,756,756,756,756,
1512,756,756,1260,756,252,1260,756,1512,1512,252,756,756,756,756,252,252,252,
252,252,504,504,504,504,504,504,504,504,504,1008,448,1344,448,1792,512,1536,
168,84,420,56,56,56,336,112,224,112,224,672,672,1008,336,336,336,336,168,336,
672,1008,2016,336,672,336,336,1008,1008,2016,672,336,336,672,336,672,336,672,
336,672,2016,672,672,672,672,336,336,336,336,336,672,336,336,1008,672,2016,
672,672,672,672,672,672,672,1344,1344,192,384,512,7,1,42,14,42,126,147,882,
378,126,126,63,189,189,252,378,126,378,378,378,378,252,147,63,147,21,441,147,
882,21,63,252,189,252,126,42,126,126,378,42,42,126,189,63,189,189,189,378,378,
378,189,378,378,126,63,189,189,189,189,63,63,126,378,378,378,189,189,126,378,
378,378,378,378,126,378,252,378,378,378,378,126,126,252,189,84,252,756,756,
756,756,252,756,252,756,756,252,756,84,756,252,252,252,756,756,756,756,252,
756,756,756,756,252,252,756,252,252,588,378,378,378,378,126,126,126,126,378,
378,126,252,378,378,252,378,378,126,378,378,126,126,126,630,378,756,378,756,
1512,378,126,126,252,378,756,126,252,252,252,252,252,252,252,252,252,252,252,
252,252,252,756,756,252,252,252,252,252,252,252,252,756,756,756,756,252,252,
756,756,1512,252,252,252,252,504,252,756,756,756,252,252,252,252,252,504,252,
252,252,252,252,252,504,504,448,448,448,448,448,448,448,448,1344,196,1176,28,
84,252,336,504,336,336,336,252,252,168,84,84,336,112,112,336,336,336,336,336,
504,168,168,168,504,168,168,336,336,336,336,336,672,336,336,1008,336,672,2016,
672,336,336,336,336,336,336,336,336,336,336,336,336,336,672,672,192,512,21,3,
63,147,63,63,21,21,63,189,378,378,378,63,378,42,126,126,378,42,126,126,378,63,
63,126,126,378,189,189,126,63,189,63,189,63,63,63,63,126,189,189,126,378,378,
378,126,189,189,189,63,189,63,189,189,189,63,378,378,126,378,126,378,378,378,
126,126,378,378,252,126,126,252,126,126,378,126,126,378,126,126,126,126,126,
126,126,378,126,126,126,126,126,126,126,126,126,126,252,126,378,252,252,252,
252,252,252,252,252,252,756,252,252,252,252,756,252,252,252,252,252,336,112,
224,448,448,448,64,192,192,384,7,1,14,28,84,56,56,168,168,56,56,252,84,84,252,
168,84,252,252,84,84,84,84,84,84,84,84,84,84,252,168,84,84,84,84,84,84,84,84,
504,168,168,168,168,168,504,168,168,168,168,168,168,168,168,168,168,336,336,
336,336,21,7,7,21,21,189,63,189,63,63,63,63,63,63,63,63,63,189,63,63,189,63,
63,189,63,63,63,63,63,63,63,189,63,63,63,378,126,378,126,126,126,126,126,126,
126,126,126,336,112,224,112,112,112,112,192,192,192,1,21,49,21,21,63,28,28,42,
84,84,84,84,84,84,84,84,84,84,84,84,252,168,84,84,84,84,84,84,84,84,84,252,84,
84,84,84,168,168,168,168,168,168,168,168,8,64,21,21,63,21,63,63,63,63,63,63,
63,63,63,63,63,28,28,56,112,112,7,7,21,7,7,14,14,21,21,63,21,21,21,21,63,21,
21,42,42,84,84,84,84,24,64,63,28,28,28,28,28,28,56,8,8,16,24,24,7,7,7,7,21,21,
21,21,21,21,21,21,21,21,21,21,21,42,42,7,7,28,28,8,24,24,24,21,21,21,8,7,7,7,
7,7,7,8,7,7,1,3,1,1],[1,225,558,1024,960,186,720,2520,105,525,180,945,3780,
1890,1260,540,2160,576,960,960,2880,2880,5760,2880,225,45,630,630,2520,45,90,
720,945,945,270,180,1890,2520,360,2520,360,360,7560,1260,540,3780,540,2160,
4320,1080,1080,1080,1080,1080,2160,2160,270,1080,1890,270,270,270,270,540,
1080,2160,2160,360,360,1280,1280,576,1728,1728,96,720,1680,480,480,3360,1440,
2400,720,1920,960,960,2880,2880,2880,2880,2880,2304,15,6,105,45,180,210,2520,
315,45,945,3780,135,270,1890,540,315,270,135,540,135,135,540,540,90,90,90,270,
540,540,270,270,1890,270,270,270,540,540,540,1080,540,2160,1890,270,540,270,
1080,2160,270,540,2160,540,540,2160,1080,2160,540,1080,540,2160,270,270,1080,
1080,270,540,1890,540,2160,1890,270,540,540,2160,270,270,270,540,270,540,540,
1080,1080,1080,1080,1080,1080,3840,3840,576,1728,1728,240,1680,720,1440,720,
720,720,720,720,1440,1440,2880,720,1440,1440,1440,720,1440,1440,1440,720,1440,
1440,1440,1440,2880,960,960,1440,1440,2880,640,2304,18,45,315,630,540,315,135,
135,135,540,540,1080,135,270,135,540,540,630,270,270,540,540,540,90,90,90,270,
270,270,270,540,1080,90,270,270,270,1890,270,270,270,270,270,540,540,1080,
1080,2160,540,90,270,945,270,270,1080,135,270,540,270,270,540,540,270,540,540,
540,135,180,180,540,540,180,540,270,270,270,270,270,270,540,540,270,270,270,
270,540,360,540,540,540,1080,1080,540,540,540,540,1080,540,1080,540,540,540,
540,540,540,540,540,540,540,540,540,1920,960,960,576,24,120,60,420,60,120,840,
480,480,480,1440,480,480,720,720,720,720,360,720,1440,720,720,720,720,1440,
720,720,1440,720,1440,1440,1440,720,1440,1440,640,96,288,384,576,1,15,30,90,
270,270,270,315,135,270,270,270,270,270,270,540,45,45,315,135,540,270,90,270,
90,90,135,135,135,270,270,135,135,135,270,270,270,270,270,270,540,135,540,540,
540,540,540,540,540,540,270,270,270,270,540,270,270,270,540,270,270,270,540,
540,540,540,540,540,540,960,960,960,960,36,60,420,180,180,360,720,180,180,180,
360,180,180,240,720,720,720,360,360,360,360,360,360,360,720,720,640,288,288,
576,576,45,135,45,45,90,270,135,135,270,135,135,135,135,135,270,270,270,540,
270,270,270,270,240,240,240,480,36,108,108,384,384,1,15,30,60,60,60,120,120,
360,120,120,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,360,
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],[1,495,396,880,
1320,1320,495,1980,2970,2970,2376,1320,5280,3960,7920,3960,495,495,990,2970,
5940,5940,2970,1485,990,5940,440,1760,2376,2376,2376,1728,1320,1980,2640,1980,
1320,7920,3960,3960,495,1485,2970,1485,2970,2970,5940,5940,440,5280,5280,2376,
4752,3960,3960,1980,3960,1980,1320,3960,880,495,495,1485,2970,2970,1320,1320,
2640,2376,495,1980,1980,3960,880,1760,1728,396,1584,1584,1485,440,1320,1320,
1320,495,495,990,880,396,792,1584,1320,495,495,440,396,132,440,144,144,132,
132,132,132,24,1],[1,675,1456,960,735,4410,5670,2016,960,10080,15120,960,315,
630,945,11340,5670,2835,5670,1890,1260,3780,1400,2240,2016,420,4620,2520,1680,
15120,5040,2880,2016,21,21,315,315,2835,5670,2835,945,1890,5670,1890,3780,
3780,1400,6720,10080,6048,960,1920,960,2520,2520,2520,12600,1260,2520,3780,
1260,5040,1120,2016,315,945,630,945,945,945,1890,2835,945,1890,1890,840,1680,
5040,960,2880,21,231,210,420,420,1260,1260,2520,3780,1260,1260,1260,1260,1260,
1120,2240,1344,1008,2016,960,105,945,945,945,945,945,945,280,1680,840,840,126,
126,210,1050,210,630,315,945,630,1260,1260,1260,1260,1120,2016,1008,960,945,
210,210,840,126,126,360,336,105,105,105,105,315,630,945,315,315,280,126,126,
210,210,210,210,420,378,378,360,168,336,315,315,315,315,280,126,126,105,210,
210,168,21,21,126,126,105,63,63,21,21,21,21,1,3,1,1],[1,585,918,1024,960,186,
3600,2520,285,525,3420,3645,5940,6210,1980,3780,5040,576,960,7680,3840,8640,
11520,8640,225,675,630,1350,2520,315,360,630,720,1485,1485,2970,2700,1890,
2520,2520,3960,3240,4680,7560,1980,3780,5940,3780,5040,12960,7560,5400,5400,
3240,3240,5400,10800,15120,810,3240,2970,1890,1890,810,1890,3780,7560,6480,
3240,10800,1080,360,2520,2160,1280,1280,576,1728,1728,96,720,1680,480,480,
3360,1440,2400,720,1920,3840,2880,960,11520,11520,2880,8640,5760,8640,5760,
2880,5760,2880,2304,15,6,45,105,315,1260,225,210,2520,495,315,945,3780,405,
1350,1890,315,1620,495,810,945,1260,945,1620,405,945,1620,1260,810,2700,630,
270,630,90,1890,270,90,810,1620,1350,2700,1620,1620,1620,1620,3240,1890,810,
2970,1890,1890,810,3780,3780,1620,3240,1620,7560,6480,2970,810,1620,1890,1890,
3240,6480,1350,1890,1620,6480,810,2700,2700,10800,3780,7560,6480,3780,3240,
1620,3240,3240,10800,1890,810,1620,3240,3240,810,1620,1890,1620,3240,6480,
1890,810,1620,1620,3240,6480,270,810,1620,810,810,810,1620,1350,2700,2700,
1080,3240,3240,1080,2520,7560,7560,7560,1080,3240,3240,1080,1080,1080,1080,
2160,2160,2160,2160,1280,1280,3840,7680,3840,576,1728,1728,3456,3456,480,1680,
720,960,1440,2160,1440,2160,720,720,2880,1440,4320,2880,1440,8640,8640,2880,
2160,1440,4320,1440,2160,1440,1440,1440,720,4320,1440,1440,2880,1440,2880,
2880,960,1920,3840,1440,1440,5760,5760,2880,2880,2880,5760,2880,5760,5760,
2880,640,2304,18,135,315,630,315,1620,495,405,405,945,1620,1620,3240,945,1260,
945,810,405,1260,1620,810,2700,630,810,810,810,1620,1620,1620,1620,90,270,270,
270,810,810,810,810,1620,3240,3240,630,810,810,810,1620,810,1890,810,1620,810,
1350,270,270,540,810,360,1620,1620,3240,3240,6480,2700,1080,90,1350,270,810,
1620,945,810,810,3240,405,810,405,405,810,810,1620,1620,810,810,1620,1620,270,
540,1620,1620,540,405,1260,180,540,3780,3780,540,3780,1620,540,1620,180,540,
810,1890,270,1890,1890,3780,810,810,810,810,1620,1620,810,810,810,810,1620,
1620,1620,1620,540,810,810,810,810,270,270,270,810,810,1620,1620,1620,2520,
360,1620,1620,540,540,1620,1080,1080,1620,1620,1620,1080,540,1080,1620,1620,
1620,540,1620,540,1080,1080,540,1080,1620,1620,1620,1620,3240,540,2700,1620,
1620,1620,1620,1620,1620,3240,3240,2700,2700,540,1620,1620,1620,3240,1620,
1620,1620,1620,1620,1620,1620,3240,3240,1620,1620,1620,540,1620,540,540,540,
540,540,1080,1080,1080,1080,1080,1080,1080,1080,1080,2160,1920,960,960,3840,
3840,576,1728,1728,24,120,60,420,60,120,840,480,720,480,720,480,1440,480,480,
720,1440,720,720,720,360,720,1440,1440,2880,720,1440,1440,2160,1440,2160,4320,
1440,720,2160,1440,720,1440,2160,1440,720,1440,1440,1440,2880,1440,4320,1440,
720,720,1440,720,720,1440,1440,720,720,1440,1440,1440,1440,1440,1440,1440,
1440,1440,1440,5760,2880,640,1280,1280,96,288,384,576,2304,1,15,30,90,270,90,
135,810,810,810,810,315,405,405,180,270,810,270,810,270,810,1620,315,45,315,
135,945,45,270,315,405,1620,135,180,810,270,810,90,270,90,270,90,135,405,405,
405,405,810,270,810,405,810,810,810,405,405,135,405,405,405,405,810,810,810,
810,135,135,270,810,810,810,810,810,270,810,540,810,270,810,810,270,270,540,
405,540,180,1620,1620,540,1620,1620,1620,180,1620,1620,540,1620,540,1620,540,
540,540,1620,1620,1620,1620,540,1620,1620,1620,540,540,540,1620,1620,540,1260,
810,270,810,810,810,810,810,810,270,270,810,540,270,270,540,270,810,810,810,
810,270,270,810,810,270,1620,1350,1620,3240,270,810,810,1620,270,540,270,540,
540,540,540,540,540,540,540,540,540,540,540,1620,1620,540,540,540,540,540,540,
540,540,540,540,540,1620,1620,540,1620,1620,1620,1620,3240,540,540,540,540,
1080,540,1620,1620,1620,540,540,540,540,540,1080,540,540,540,540,540,540,1080,
1080,1920,960,960,960,960,1920,1920,960,960,36,1728,60,60,360,420,540,180,180,
720,240,360,1080,720,2160,180,180,540,360,180,180,480,720,720,720,720,720,
1440,720,360,360,1080,1080,360,360,360,360,720,720,720,1440,720,1440,720,720,
720,720,1440,1440,1440,720,1440,1440,1440,720,1440,720,720,720,1440,720,720,
720,720,1440,1440,640,640,640,288,288,576,576,576,1152,576,45,45,405,45,45,45,
135,135,45,135,810,810,810,405,810,270,810,90,270,270,90,810,270,405,405,810,
270,270,135,135,270,405,135,135,135,135,405,405,405,810,135,135,810,270,270,
270,810,405,405,405,135,405,405,135,405,405,135,810,810,270,810,270,810,270,
270,810,810,270,270,540,810,810,540,270,810,270,810,270,270,270,270,270,270,
270,270,810,270,270,270,270,270,270,270,270,270,270,270,540,810,270,540,540,
540,540,540,540,540,540,540,1620,540,540,540,540,1620,540,540,540,540,540,240,
240,240,480,1920,960,960,36,108,108,384,384,1,15,30,60,60,60,120,120,360,120,
120,360,180,180,540,180,180,180,540,360,180,180,180,540,180,180,180,180,180,
180,180,180,180,180,180,180,180,360,180,180,180,180,180,180,180,180,360,1080,
360,1080,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,720,1440,
720,720,640,96,288,144,288,288,288,288,576,15,45,15,45,45,135,405,135,405,135,
135,135,135,135,135,135,405,135,405,135,135,405,135,135,135,135,135,135,135,
135,135,405,135,135,135,270,810,270,810,270,270,270,270,270,270,270,270,240,
240,480,240,240,240,240,240,480,36,108,108,216,216,384,384,15,135,15,15,135,
45,60,60,60,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,540,180,180,180,180,
360,360,360,360,360,360,360,360,144,288,288,45,45,45,135,135,135,135,135,135,
135,135,135,135,135,135,20,20,60,120,240,240,240,36,108,108,96,15,45,15,15,15,
30,30,45,45,45,135,135,45,45,45,45,45,90,90,180,180,180,180,180,6,36,144,135,
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],[1,495,
1188,880,1320,396,1320,5940,495,1980,8910,1980,2970,3960,2376,1320,5280,5280,
11880,7920,11880,1485,495,5940,990,3960,11880,2970,5940,5940,11880,2970,2970,
1485,5940,990,5940,440,1760,2376,7128,7128,1728,1320,1980,2640,1980,1320,3960,
7920,11880,3960,7920,11880,3960,7920,3960,495,495,495,2970,1485,2970,5940,
2970,1485,1485,2970,5940,2970,1485,2970,2970,5940,5940,440,1760,5280,5280,
5280,2376,7128,7128,4752,4752,1728,1320,3960,3960,3960,3960,7920,5940,3960,
1980,1320,3960,3960,3960,3960,3960,7920,3960,3960,880,1485,2970,495,495,990,
1485,2970,1485,1485,2970,1485,2970,2970,1320,1320,2640,5280,2376,2376,2376,
1980,495,1980,1980,1980,3960,1980,1980,3960,3960,880,1760,1760,1728,396,1584,
1584,495,495,1485,1485,1485,1485,1485,440,1320,1320,1320,1320,1320,2376,495,
495,1980,1980,990,990,880,880,880,1728,1188,792,1584,1584,1485,1320,1320,495,
495,495,495,495,495,440,880,396,396,396,132,495,495,440,396,144,144,132,132,
132,144,144,132,24,1,1],[1,1065,630,3136,210,1680,2520,1365,525,9660,4725,
3780,9450,2940,13860,5040,5376,24640,6720,33600,7680,45,1575,630,3150,2520,
2415,1800,3150,720,945,4725,9450,1260,1890,2520,840,2520,12600,12600,7560,
2940,3780,3780,8820,5040,10080,17640,7560,2520,27720,17640,7560,15120,15120,
1890,2520,1890,1890,4410,6930,1890,3780,7560,5040,17640,15120,2520,840,2520,
5040,4480,5376,3360,1680,8400,3360,8400,6720,6720,33600,20160,6720,20160,6720,
7680,5376,1,210,225,525,1575,6300,105,210,2520,315,105,945,3780,4725,9450,
1890,735,3780,105,630,945,1260,945,3780,945,315,1260,420,4410,3780,630,630,
210,210,630,630,210,1890,3780,630,1260,1260,3780,1260,1260,2520,4410,1890,630,
1890,1890,1890,3780,3780,3780,2520,3780,7560,15120,1890,1890,3780,1890,630,
2520,5040,630,4410,3780,15120,6930,3780,3780,15120,3780,7560,5040,1260,2520,
8820,17640,17640,15120,630,1890,3780,2520,7560,1890,3780,630,1260,2520,5040,
1890,1890,3780,3780,7560,5040,1890,4410,8820,1890,4410,1890,8820,1890,3780,
1260,17640,2520,2520,17640,840,7560,2520,7560,2520,7560,7560,2520,2520,2520,
2520,5040,5040,5040,5040,4480,17920,16128,7680,3920,1680,6720,3360,5040,5040,
5040,5040,23520,16800,3360,20160,5040,10080,3360,5040,8400,10080,10080,10080,
10080,2240,6720,10080,3360,10080,20160,6720,6720,6720,6720,5376,630,1575,315,
630,735,3780,105,945,945,945,3780,3780,7560,945,1260,315,630,945,420,1260,
4410,3780,630,1890,1890,1890,3780,3780,3780,3780,630,630,630,630,1890,1890,
1890,1890,3780,7560,2520,210,1890,1890,4410,8820,630,630,630,1260,1890,1890,
1890,1890,3780,4410,5880,1260,1260,2520,2520,5040,1260,17640,210,630,630,1890,
1260,315,630,630,2520,2205,4410,315,945,1890,1890,3780,3780,1890,1890,3780,
3780,1890,3780,1260,1260,8820,945,1260,420,1260,3780,1260,1260,1260,3780,1260,
3780,420,1260,1890,630,630,1890,630,1260,630,630,1890,1890,3780,3780,1890,
1890,630,630,1260,1260,1260,1260,1260,630,630,1890,1890,630,630,630,1890,1890,
3780,1260,1260,840,2520,1260,1260,1260,1260,1260,2520,2520,3780,3780,3780,
7560,3780,7560,1260,3780,3780,1260,3780,1260,7560,2520,3780,7560,1260,1260,
1260,1260,2520,1260,1260,3780,3780,3780,3780,1260,1260,2520,2520,1260,1260,
1260,1260,1260,1260,2520,3780,3780,3780,3780,3780,3780,1260,2520,2520,3780,
1260,3780,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,2520,2520,
2520,2520,2520,5040,4480,6720,8960,7680,840,56,420,2100,560,1680,3360,3360,
5040,1680,5040,5040,840,1680,3360,5040,10080,5040,10080,5040,5040,1680,8400,
5040,3360,1680,3360,3360,10080,10080,10080,3360,1680,1680,1680,1680,3360,1680,
5040,10080,3360,3360,3360,3360,10080,10080,3360,3360,3360,6720,2880,960,5760,
896,5376,5376,35,15,70,210,630,210,315,1890,1890,1890,1890,105,315,2205,2940,
1890,1890,1890,1890,1890,630,1260,105,105,315,315,315,315,1890,105,315,1260,
2205,2940,630,630,1890,210,630,630,630,210,945,945,945,945,315,630,630,630,
315,630,1890,1890,945,945,315,315,315,315,315,630,630,630,630,315,315,630,630,
630,630,630,630,630,630,1260,1890,1890,1890,1890,1890,1890,3780,945,420,420,
1260,1260,1260,1260,1260,1260,420,3780,3780,1260,3780,420,3780,3780,3780,3780,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,3780,420,630,
630,1890,630,1890,630,630,630,630,630,630,1260,1890,1890,3780,630,1890,1890,
630,630,630,630,1890,1890,630,1260,630,3780,2520,630,1890,1890,3780,630,1260,
630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,3780,3780,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,3780,
3780,3780,3780,2520,1260,1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,2520,2520,2240,2240,6720,
4480,336,140,420,2520,420,2940,560,3920,2520,1260,1260,1260,420,1260,560,1680,
1680,5040,5040,1680,2520,840,2520,840,840,1680,1680,1680,1680,3360,5040,1680,
1680,1680,1680,10080,1680,1680,1680,1680,1680,1680,1680,1680,3360,3360,3360,
960,960,2688,5376,15,15,315,315,735,315,315,105,105,315,630,630,630,315,630,
630,1890,210,630,210,210,630,630,315,315,630,630,630,945,945,1890,315,315,315,
945,945,315,315,315,630,315,315,630,630,630,630,630,315,315,315,945,945,945,
315,315,315,315,630,630,630,630,1890,1890,1890,1890,630,630,630,630,1260,630,
630,3780,630,630,630,630,1890,1890,630,630,630,630,630,630,1890,630,630,630,
630,630,630,630,630,630,630,630,1260,630,630,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,
1680,2240,336,960,960,2880,2880,960,896,35,70,420,420,280,840,2520,840,280,
280,420,420,420,1260,1260,1260,420,420,420,420,420,420,420,1260,1260,420,420,
420,420,420,420,1260,420,1260,1260,420,420,1260,420,1260,420,420,420,840,2520,
2520,840,840,840,2520,840,840,840,840,840,840,1680,1680,1680,336,35,105,105,
315,105,315,315,315,315,945,945,315,315,315,315,315,315,315,315,315,315,315,
945,945,315,315,315,315,315,315,315,315,315,315,315,630,630,630,630,630,630,
630,630,630,630,630,630,280,1680,560,560,560,560,1008,960,960,960,960,960,960,
448,448,896,105,245,315,140,420,210,420,420,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,1260,420,420,420,420,1260,420,420,1260,420,420,420,
420,420,420,420,420,420,840,840,840,840,840,840,840,840,840,120,336,105,315,
105,105,315,315,315,315,315,315,315,315,315,315,315,140,280,280,560,280,280,
448,448,35,105,35,105,70,105,105,315,315,105,210,210,420,420,420,420,420,120,
120,56,168,336,315,140,140,140,280,280,120,120,360,360,105,35,105,35,105,105,
105,105,105,105,105,105,105,210,168,168,35,140,128,120,120,120,120,120,120,
120,56,105,105,105,35,35,35,28,56,35,15,28,16,15,15,8,1],[1,1155,6160,2695,
6930,20790,22176,36960,18480,21120,1155,330,3465,41580,6930,10395,6930,2310,
13860,13860,6160,22176,8064,1540,30800,27720,6160,18480,18480,77,231,3465,
3465,10395,6930,10395,10395,6930,6930,6930,13860,13860,6160,22176,21120,27720,
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8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,
10,10,10,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
16,16,16,18,18,18,18,18,20,20,20,20,20,21,21,21,22,23,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,
36,36,36,36,40,40,40,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,54,54,54,55,56,56,56,60,60,60,60,60,60,60,63,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,80,80,80,96,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,108,108,108,110,112,112,120,120,120,120,120,120,120,120,120,
126,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,144,144,144,144,144,144,144,144,144,144,160,160,
160,160,168,168,168,168,168,168,168,180,180,192,192,192,192,192,192,192,192,
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,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,216,216,240,240,240,240,240,240,240,240,240,253,256,256,256,256,256,
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,
256,256,256,256,288,288,288,288,288,288,288,288,288,288,288,288,288,320,320,
320,320,320,320,336,336,336,336,336,336,360,360,360,360,384,384,384,384,384,
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,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,432,448,480,480,480,480,504,512,512,512,512,512,512,512,512,
512,512,512,512,512,512,512,576,576,576,576,576,576,576,576,576,576,576,640,
640,640,660,660,720,720,720,720,720,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
896,896,960,960,960,960,960,960,1008,1024,1080,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1280,1320,1320,1344,1344,1344,1344,1344,1344,
1440,1440,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1728,1920,1920,1920,1920,
1920,2160,2304,2304,2304,2304,2304,2304,2520,2688,2688,2688,2688,2688,2688,
2688,2688,2880,2880,3072,3072,3072,3072,3456,3456,3456,3840,3840,3840,3840,
3840,4032,4608,4608,4608,4608,4608,4608,4608,4608,4608,5760,5760,5760,6072,
6912,6912,6912,7680,7680,7920,8064,9216,9216,9216,10752,11520,11520,11520,
13824,20160,20160,21504,21504,23040,23040,32256,40320,40320,60480,64512,69120,
95040,120960,138240,190080,322560,443520,887040,10200960,244823040],
[1529,1512,1498,1450,1395,1513,1347,1279,1501,1502,1381,1396,1192,1335,1384,
1203,1159,1171,1395,1057,1060,602,601,602,931,1511,1471,1442,1441,1279,1468,
1460,1443,1415,1396,1396,1330,1384,1329,1277,1289,1256,1257,1255,938,1384,
1204,1204,1204,1159,324,984,985,1019,1020,984,985,701,763,1328,991,1324,1327,
1325,1326,1336,1204,987,639,993,701,1276,1275,1274,815,1315,918,1171,844,844,
919,1420,1347,1347,1223,1346,1221,896,838,1224,1157,1057,1060,1058,1059,601,
601,602,602,601,602,601,602,601,602,528,616,1525,1514,1512,1503,1468,1383,
1501,1488,1279,1469,1468,1396,1194,1396,1327,1326,1468,1174,1469,1322,1396,
1383,1396,1207,1396,1396,1194,1384,1323,1173,1434,1427,1433,1428,1336,1442,
1443,1326,1174,1327,1173,1173,1174,1199,1207,987,1325,1326,1324,1324,1325,
1326,1204,1204,1180,991,1199,987,701,1324,1327,1179,1327,1336,987,639,1327,
1325,1174,701,1326,1173,1173,701,1204,987,639,1204,991,1174,993,993,701,1327,
1326,1180,991,987,1324,1173,1327,1179,987,639,1324,1325,1204,1174,987,639,
1327,1325,1174,1326,1326,1326,1174,1327,1173,1173,1004,1001,987,993,1274,932,
932,932,1019,1020,1020,1019,1019,1020,1051,815,815,815,815,1315,918,523,522,
523,1171,844,844,526,525,931,617,931,919,1172,1346,1347,1347,1059,869,1159,
1158,1160,1157,1157,872,870,871,568,873,576,562,563,270,1159,894,895,896,1160,
889,869,1158,1157,871,870,873,872,900,542,1058,1059,1057,1060,914,913,915,601,
601,602,602,602,601,602,601,601,602,1162,616,1497,1471,1470,1442,1468,1174,
1469,1396,1396,1396,1173,1174,987,1396,1383,1396,1322,1396,1384,1194,1323,
1173,1426,1324,1324,1325,1204,1174,1174,1173,1437,1438,1442,1425,1326,1325,
1325,1326,1204,987,991,1443,1326,1326,1325,1174,1324,1324,1327,1179,1324,1327,
1327,1327,1173,1325,1296,1204,1180,991,987,639,1173,993,1443,1327,1442,1326,
1199,1396,1325,1322,934,1396,1323,1396,1396,1324,1326,1193,1174,1324,1325,
1174,1173,1327,1173,1194,1192,1195,1396,1384,1385,1386,1204,1204,1217,1204,
1219,1365,1174,1364,1173,1326,1324,1327,1325,1336,1204,1324,1327,1325,1325,
1174,1174,1326,1326,1324,1327,1204,1173,1179,1180,1173,1336,1324,1326,1325,
1327,1327,1327,1326,1326,1174,1173,1199,1274,1314,1204,1204,1217,1217,1204,
1029,991,1204,1204,1204,1029,1216,993,1216,1204,1204,1218,1204,1218,941,991,
1219,993,1204,1204,1204,1219,945,1173,1173,1174,1174,1174,1174,1173,1173,987,
987,1173,1173,1173,1173,1173,1173,987,1174,1174,1174,1174,1174,1174,1207,987,
987,1174,1173,1174,1173,1207,1203,1216,1217,1219,1218,1020,1019,1020,1019,
1036,1020,1019,1020,1019,815,1061,1057,1060,1059,1058,840,523,1171,844,844,
931,528,1492,1491,1454,1455,1456,1399,1409,1409,1346,1347,1223,1347,1223,896,
1224,1221,1159,1158,1160,1157,1157,1312,1313,1157,873,1158,872,1157,870,1158,
1160,1158,1159,895,896,1157,1160,869,1159,894,1159,871,1160,869,889,870,872,
900,871,873,1160,1159,1158,1157,1160,889,1158,1157,1159,894,895,900,896,913,
914,913,914,914,915,915,913,915,601,602,1162,918,917,919,1240,1239,1072,1420,
1320,927,1247,929,1171,616,931,1523,1519,1487,1488,1427,1428,1471,1324,1325,
1326,1326,1470,1396,1396,1381,1324,1325,1327,1324,1327,1325,1192,1468,1468,
1469,1469,1396,1471,1324,1470,1396,1192,1396,1381,1325,1442,1326,1443,1327,
1441,1434,1433,1396,1396,1396,1396,1396,1324,1322,1325,1396,1324,1325,1323,
1396,1396,1396,1396,1396,1396,1396,1325,1325,1325,1325,1396,1396,1329,1324,
1325,1325,1324,1324,1326,1325,1192,1324,1324,1324,1324,1330,1327,1195,1396,
1386,1385,1204,1204,1217,1204,1219,1204,1385,1204,1204,1218,1204,1386,1204,
1216,1219,1219,1204,1204,1204,1204,1217,1204,1204,1204,1217,1217,1218,1204,
1219,1216,1384,1324,1327,1325,1336,1326,1325,1325,1325,1324,1324,1325,1192,
1324,1324,1195,1327,1325,1326,1324,1336,1327,1326,1326,1326,1327,1173,1327,
1174,987,1327,1326,1326,1174,1327,1173,1328,1216,1216,1219,1219,1219,1218,
1217,1217,1217,1218,1218,1216,1174,1174,1173,1173,1217,1219,1216,1218,1216,
1218,1217,1219,1173,1173,1173,1173,1174,1174,1174,1174,987,1216,1218,1219,
1217,1029,1203,1204,1204,1204,1203,1203,1203,1217,1218,1029,1219,1216,1218,
1217,1219,1216,1036,1036,1315,1057,1060,1058,1059,1060,1058,1059,1057,1057,
1060,1058,1059,1061,1061,1479,1393,844,1454,1456,1294,1455,1383,1381,1382,
1342,1343,1296,1295,1098,1134,1135,1381,1382,1383,1279,1386,1385,1384,1346,
1347,1347,1160,1157,1159,1158,1157,1307,1306,1295,1308,1309,1294,1296,1314,
1313,1312,1157,1160,1159,1158,1160,889,1157,1157,1159,1159,894,895,896,1160,
1158,1158,900,1157,1158,1160,1159,1159,1158,1160,1157,1151,1152,1153,1154,913,
914,915,1162,1162,1162,919,1240,1239,1319,1320,1164,1169,1170,927,928,929,
1171,931,1512,1511,1396,1471,1468,1470,1471,1469,1468,1396,1325,1324,1324,
1396,1325,1442,1326,1443,1327,1434,1433,1325,1324,1396,1396,1325,1322,1324,
1396,1396,1323,1396,1396,1396,1396,1396,1396,1396,1396,1325,1396,1396,1325,
1324,1324,1324,1325,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1325,
1324,1326,1325,1327,1324,1324,1324,1325,1325,1324,1324,1192,1325,1325,1195,
1326,1325,1324,1325,1327,1324,1327,1326,1327,1326,1326,1327,1325,1324,1326,
1327,1327,1326,1326,1327,1327,1327,1326,1326,1199,1325,1324,1216,1217,1218,
1219,1207,1218,1217,1219,1216,1204,1216,1218,1217,1219,1204,1218,1217,1219,
1216,1203,1407,1343,1344,1347,1223,1057,1058,1059,1060,1061,1479,1410,1393,
1410,1395,1241,1243,1069,1240,1239,1072,1247,1248,1523,1519,1487,1488,1454,
1456,1455,1399,1408,1409,1304,1302,1408,1408,1409,1409,1382,1383,1383,1381,
1381,1381,1383,1279,1382,1382,1382,1383,1381,1384,1386,1385,1386,1385,1386,
1384,1385,1384,1386,1385,1383,1381,1382,1381,1383,1279,1382,1386,1386,1385,
1384,1384,1385,1384,1386,1385,1384,1294,1295,1309,1308,1295,1307,1294,1296,
1306,1296,1314,1310,1311,1307,1306,1309,1308,1314,1314,1312,1313,1312,1313,
1312,1313,1157,1158,1159,1160,1315,1162,1420,1320,1394,1393,1319,1320,1319,
1320,1171,1172,1502,1501,1503,1471,1470,1396,1396,1396,1396,1396,1396,1396,
1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,1396,
1396,1396,1396,1396,1396,1396,1396,1396,1324,1325,1324,1325,1326,1326,1327,
1327,1327,1326,1326,1327,1407,1344,1347,1223,1343,1343,1343,1344,1344,1342,
1346,1347,1347,1479,1410,1410,1349,1350,1238,1239,1240,1241,1242,1243,1244,
1419,1354,1247,1248,1519,1471,1503,1502,1471,1470,1454,1456,1455,1442,1443,
1381,1382,1383,1384,1384,1379,1380,1384,1386,1385,1386,1385,1386,1385,1384,
1385,1386,1382,1383,1279,1381,1382,1383,1381,1381,1382,1383,1386,1384,1385,
1384,1383,1382,1381,1382,1383,1381,1384,1385,1386,1385,1386,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1500,1393,1394,1319,
1320,1395,1470,1471,1468,1469,1396,1396,1396,1396,1396,1396,1396,1396,1396,
1396,1396,1495,1494,1456,1408,1409,1407,1343,1344,1407,1407,1347,1479,1410,
1410,1411,1412,1419,1354,1419,1420,1419,1502,1501,1501,1502,1503,1503,1487,
1488,1489,1471,1470,1470,1471,1471,1471,1470,1470,1471,1470,1442,1443,1443,
1442,1381,1382,1383,1384,1385,1386,1462,1463,1514,1491,1479,1449,1393,1394,
1395,1396,1450,1495,1456,1494,1456,1454,1455,1454,1455,1456,1407,1408,1409,
1410,1411,1412,1500,1500,1480,1460,1461,1459,1419,1420,1503,1503,1502,1501,
1501,1502,1469,1468,1471,1470,1470,1471,1468,1469,1470,1471,1470,1471,1470,
1471,1441,1442,1443,1508,1497,1479,1478,1448,1449,1450,1503,1501,1502,1454,
1455,1456,1457,1500,1459,1460,1461,1462,1463,1464,1465,1492,1491,1468,1469,
1470,1471,1508,1494,1495,1513,1514,1497,1497,1479,1500,1502,1501,1502,1501,
1503,1503,1502,1501,1503,1507,1491,1492,1493,1508,1508,1508,1497,1498,1499,
1500,1501,1502,1503,1519,1513,1514,1507,1508,1522,1510,1511,1512,1513,1514,
1519,1516,1517,1522,1519,1523,1524,1522,1523,1524,1525,1527,1527,1528,1529],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,3,3,2,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,
18,18,1,1,6,7,9,9,10,6,8,7,10,11,1,1,1,1,4,4,5,5,4,5,4,5,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,2,1,2,2,2,1,2,
3,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,2,
2,2,2,3,2,2,2,2,3,3,2,2,2,2,3,3,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,
2,1,16,16,16,16,76,77,5,4,4,1,18,18,18,18,25,25,1,81,1,86,84,83,82,83,84,86,
83,91,91,86,91,84,85,91,90,87,88,89,9,9,6,8,7,6,7,10,11,9,11,11,10,10,8,5,5,4,
4,72,73,74,23,23,24,24,24,23,5,4,2,3,4,18,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,2,2,2,
2,3,2,2,10,10,10,9,12,9,9,10,10,9,9,9,9,9,9,9,12,12,13,10,9,9,9,9,10,10,10,12,
10,10,10,10,10,9,11,12,12,13,12,13,10,11,10,10,9,9,12,2,2,2,3,2,2,2,2,2,2,3,2,
2,2,2,2,2,2,3,2,2,1,2,2,2,2,2,2,2,2,9,9,10,10,2,2,2,2,2,2,10,10,9,9,9,9,9,9,
10,10,12,10,12,12,10,2,2,2,2,2,10,10,9,9,9,10,12,2,3,12,10,9,9,9,12,13,9,10,
12,12,10,11,10,12,10,9,9,9,12,13,10,11,10,9,12,10,12,2,2,2,2,2,2,2,2,2,3,10,
10,10,10,10,10,12,9,9,9,9,9,9,12,12,12,9,10,9,10,12,2,10,9,10,9,16,16,16,16,3,
16,16,16,16,16,76,10,9,6,7,76,77,18,18,18,5,25,109,108,109,111,111,115,115,
114,10,7,6,9,9,8,10,6,9,10,7,11,11,143,144,91,91,86,86,91,91,86,83,86,84,87,
88,91,83,83,84,85,84,84,83,83,82,91,86,90,84,91,7,9,10,11,83,82,86,91,84,85,
87,90,88,291,290,291,290,72,74,74,73,74,23,24,303,77,76,81,26,32,34,610,611,
612,613,614,6,107,25,1,1,10,9,9,10,9,12,9,9,9,10,10,9,11,10,9,10,10,10,12,13,
2,2,2,2,2,9,12,10,10,13,9,11,12,9,9,10,10,3,9,10,2,2,9,9,10,10,10,12,10,12,9,
9,2,2,2,2,2,10,10,12,12,10,9,9,9,12,9,10,12,12,10,9,9,13,9,12,12,10,12,10,11,
2,26,31,36,36,27,36,35,36,31,36,36,28,36,26,36,33,33,33,36,36,36,36,28,36,36,
36,27,28,28,36,35,33,2,10,10,9,12,9,10,12,12,9,12,10,13,12,9,11,10,9,9,10,12,
10,9,9,9,10,10,10,9,12,10,9,9,9,10,10,12,26,33,33,35,33,28,28,28,27,28,31,33,
9,9,10,10,65,63,63,65,63,65,65,63,10,10,10,10,9,9,9,9,12,63,65,63,65,66,16,9,
12,10,16,16,16,65,65,66,63,63,31,27,35,26,66,66,237,92,93,94,95,84,83,82,86,
518,519,521,520,237,76,109,108,80,531,533,533,532,532,531,533,530,529,531,532,
534,535,536,109,111,111,115,398,397,396,86,83,84,83,91,84,86,91,109,108,111,
114,115,111,109,442,144,143,279,275,271,278,275,276,279,279,271,271,272,273,
274,275,278,278,284,91,86,83,84,27,26,38,31,143,144,550,551,291,290,74,303,
303,303,81,26,32,610,611,611,610,611,612,613,614,242,249,2,26,35,27,31,10,9,
26,31,27,36,36,36,35,36,9,9,10,10,117,112,117,112,35,26,35,35,27,27,31,31,36,
36,36,36,36,36,26,35,36,31,27,35,36,27,36,36,9,12,10,36,9,9,10,10,12,36,36,36,
28,36,33,36,112,112,117,117,112,112,119,117,117,121,28,36,36,36,33,36,63,65,
33,28,28,33,9,10,65,63,26,27,31,35,63,63,65,65,66,36,36,170,159,155,168,66,
155,159,168,170,36,170,155,159,168,36,155,159,168,170,132,108,109,111,114,115,
518,521,520,519,517,842,842,843,109,1066,1067,1068,1069,607,608,609,613,610,
618,619,620,621,109,111,111,115,620,621,622,623,108,109,114,115,533,532,532,
531,531,531,532,534,533,533,111,111,109,865,863,864,398,397,398,396,397,396,
398,397,111,109,111,531,532,534,533,863,863,864,865,865,864,865,863,864,396,
533,532,535,536,532,529,533,531,530,531,881,658,659,529,530,535,536,442,881,
143,144,550,551,550,551,279,278,271,275,827,603,610,611,109,108,610,611,610,
611,615,251,10,9,111,111,111,112,117,112,117,112,121,119,117,117,112,111,36,
36,117,119,112,117,121,112,132,132,130,132,121,119,132,36,119,121,130,112,117,
112,117,155,159,168,170,170,159,155,168,1052,1054,1055,1056,1053,529,531,533,
532,530,537,540,538,109,842,842,842,842,843,608,607,1067,1066,1068,1244,1245,
1246,1073,1074,1076,1076,1075,1075,619,618,531,533,532,621,620,531,533,532,
865,865,1077,1078,865,863,864,863,864,398,397,396,864,863,860,861,862,859,860,
861,859,859,860,861,863,865,864,865,306,307,305,533,532,531,865,864,863,864,
863,1086,1083,1085,1084,875,874,877,878,658,659,883,882,881,1161,619,843,842,
922,923,1066,307,306,112,117,312,322,701,701,701,306,307,322,312,701,314,618,
618,619,620,621,1052,1053,1054,1052,1052,1055,842,842,842,1351,1352,1245,1246,
1245,1163,1245,1173,1174,619,618,619,618,620,621,1175,619,618,1075,1076,1076,
1076,1075,1075,1076,1075,1078,1077,1077,1078,859,860,861,865,864,863,619,932,
1389,1390,618,1392,1166,1165,1321,701,1397,1337,1339,1338,1080,1079,1081,1075,
1075,1076,1220,1340,1341,1065,1351,1352,619,1316,1316,1416,1417,1418,1245,
1356,1075,1076,1358,1359,1076,1075,1359,1358,1076,1075,1254,1253,1173,1174,
1254,1253,1254,1253,937,938,1366,1258,1259,1075,1389,1233,1389,1390,1392,1397,
1175,1174,1173,1338,1337,1339,1457,1076,1418,1416,1417,1316,1388,1464,1465,
1389,1390,1358,1359,1254,1253,1444,1338,1337,1475,1389,1389,1389,1391,1316,
1361,1360,1358,1359,1362,1363,1453,1452,1451,1490,1467,1466,1493,1444,1444,
1444,1445,1475,1499,1413,1452,1453,1451,1504,1475,1476,1490,1472,1509,1510,
1504,1512,1505,1506,1504,1509,1517,1509,1515,1520,1521,1518,1520,1521,1525,
1526,1526,1528,1529],
[( 1, 2)( 3, 4)( 5,24)( 6,12)( 7, 9)( 8,10)(11,17)(13,14)(15,16)(18,23)(19,21)
(20,22),( 1, 8,17)( 2,18, 7)( 3,13,14)( 4,20,19)( 5, 6,15)(21,24,23)],
[[[[]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,1,3,1,4,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,
-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,
1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,1,5,-1,6,1,4,1,6,-1]],[[2,1,1,1,2,-1,1,1,2,
1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,3,1],[5,1,7,1,
6,1,7,-1,6,1,5,-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,1,1,4,-1,3,1,1,
1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,1,1,1,2,-1,1,1,2,1,1,
1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[4,1,3,-1,5,-1,4,1,5,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,
1,5,1,3,-2,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,-1,3,2,1,1,
4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-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,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,
-1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,
1,2,1,1,1],[4,1,3,-2,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[3,-1,5,-1,4,1,3,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,
-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,-1,1,1,2,1,1,
1,3,2]]],[[[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,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,3,1,1,3,1,1,1]]],[[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,
3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[4,1,3,1,4,1],[6,1,5,-2,6,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,
1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,1,4,1,5,1,4,1,6,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,
1,1,4,1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,
1,1,1],[4,1,3,-1,4,1,3,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,
2,-1,1,1,2,1,1,1],[4,1,3,1,4,1,3,2,4,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1,3,2,4,1,3,1]],[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,-2,3,1,1,1,2,-1,1,1,2,1,1,1,4,1,3,1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,
1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
1,4,1,3,-3,4,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,-2,4,2,5,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,3,4,1,1,1,3,
-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[4,1,1,1,3,-2,4,2,3,3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,3,2,5,1,4,1,5,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,1,4,
-1,5,1,3,-1,4,2,3,1,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,
4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,
1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2,3,1],[5,1,7,1,6,1,7,1,5,
-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,
4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1],[3,1,1,1,5,1,3,1,1,1,3,-2,5,1]],[[2,-1,1,
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1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,-1,1,1,5,1,4,-1,5,1,3,-2]]],[[[2,-1,
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-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[1,1,3,-2,4,2,5,-1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,
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2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,5,2,4,-1,5,1,3,
-1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-2,1,1]],[[2,-1,1,
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1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[6,1,5,-1,4,1,5,-1,3,-1,6,1,4,1,1,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-1,1,1,3,-1,4,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-2,3,
-1,1,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,-1,1,1,4,-1,5,1]],[[2,
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1],[1,1,3,-1],[3,1,4,2,5,1,6,-1,4,2,3,1,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,1,3,1,4,1,5,1,3,-2,4,1]]],[[[2,1,1,
1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,-1,4,1,3,1,4,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,
1,4,1],[5,1,6,-2,3,-1,4,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,-1,6,-1,4,1,6,1,5,1,6,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,
-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,
-1,4,-2,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[
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1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,
4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,
1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[5,1,6,1,5,1,6,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,3,1,1,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,
5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,-2,3,2,5,-1,4,1,5,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,
1,4,1],[5,1,4,1,5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-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,-1,2,-1],[1,1,
3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,1,1,3,-1,4,
1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-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],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[
5,1,4,-3,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1],[1,1,2,-1,1,1,2,1,1,1,3,1],[3,-1,4,1,3,3,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[5,1,4,1,5,1,6,-1,5,-1,
6,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,1,1,1,3,-1,1,1,3,-1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,
1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
-2,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,3,1,1,4,2,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,1,3,2]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,
1,4,1,1,1,3,-1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,-2,3,1,4,2,3,1,1,1,5,-1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,
3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,
3,-1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,4,2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,
1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[4,2,3,1,1,1,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[3,3,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,
1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,2,3,1],[5,1,6,2,1,1,3,-1,5,1]]],[[[2,-1,1,
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-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,1,3,
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1,1,2,1],[1,1,3,1],[3,1,1,1],[5,2,3,-1,4,-1,5,1,4,-1,3,-2]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,
1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,-2,5,1,3,1,5,
-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1],[5,1,4,2,3,1,6,1,4,1,5,-2,6,1]]],[[[2,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1],[4,1,5,-1,3,1,4,1,3,
2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
1,4,1],[3,2,4,1,3,1],[6,1,5,1,6,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,1],[4,1,3,-1,5,-1,6,1,3,1,4,1,3,-1,5,
-1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[3,1,4,1],[5,1,6,-1,4,1,6,1,5,-2,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,-1,4,1,3,1,4,1,5,1,6,-1,4,
1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[5,1,4,1,5,-2,4,1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,5,1,6,-1,5,1,6,-1,4,1]]],[[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1,3,2,4,1,3,1]],[[
2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,1,
5,1,4,1,3,-1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,
1,1,2,1,1,1],[3,2],[4,1,3,1,4,1,3,-1,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[3,2],[3,1,1,1,2,-1,1,1,2,1,1,1],[4,-2,5,-2,4,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[
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2,-1],[1,1,3,1],[3,1,1,1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[4,1,5,1,4,1,
5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,1,1,3,-1,1,1,
3,-1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[
3,2],[3,-1,5,-1,4,1,3,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,-1,4,1,5,1,6,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,
1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,2,4,-2,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,3,-1,5,-1,1,1,4,-1,3,
1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[4,2,5,-3,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-2,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,3,-1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,5,-2,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,1,3,1,1,1,3,-1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,2,3,1,1,1,4,1,3,-2,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1],[6,1,4,1,5,2,4,-1,6,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-2,4,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[5,1,4,-2,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,
1,4,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,1,1,
2,-1,1,1,2,1,1,1,4,-2]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,
1,2,1,1,1],[3,1,4,1],[4,1,5,1,3,-2,4,1,3,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,
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3,1,1,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-1,1,1,2,-1,1,1,2,1,1,
1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[5,1,4,1,3,1,4,1,3,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1,3,-2,1,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,1,1,3,1,4,2]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,
4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,4]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,-2]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[3,-2,4,1,5,-1,1,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,1,1,3,-1,4,1,3,2]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,5,
1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1],[5,1,6,1,4,-1,5,-1,4,1,6,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[5,1,4,1,3,1,5,1,3,1,5,-1,4,-1,5,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,1,4,1,3,1,5,
-1,4,-1,5,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1,4,2,3,1,5,-2,4,-2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[3,-2],[6,1,5,2,1,1,3,1,4,2,
5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,-1,4,-2,3,-2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[1,1,3,-1,5,
-1,3,-2,5,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,1,4,-1,5,1,3,-1,4,2,3,1,5,-1,1,1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-1,1,1,4,1],[5,1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,
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1],[4,1,3,1,5,-2,3,-2,1,1,3,-1,4,2,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
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-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[5,1,3,1,4,2,6,-1,3,-2,4,1,5,-1,6,1]]],[[[
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3,1,1,1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
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1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,1,1,5,2,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1],[5,1,4,-1,5,1,3,-1,6,2,5,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,
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4,1,5,-1,4,1,1,1,5,1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[4,1,3,-2,1,1,3,2,4,-1]],[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,
3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,1,3,2,1,1,3,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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4,1,3,1,1,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1,4,1,5,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,3,1,1,1,5,1,3,1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,-1,5,1,3,-1,5,-1]],[[2,1,1,1,2,-1,
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2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1],[3,3,1,1,4,-1,5,2,3,-1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2],[6,1,4,2,5,1,
6,1,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1],[4,1,5,2,3,1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
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1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
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6,-1,4,1,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
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1,4,1],[4,1,5,1,3,2,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
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2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,1,1,3,
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3,1],[1,1,3,-1],[3,1,4,1],[5,1,4,-1,6,-1,1,1,3,-1,5,1,4,1,6,1]]],[[[2,-1,1,-1,
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3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
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-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]]],[[[2,1,1,1,2,-1,1,
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4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,2],[4,1,5,2,4,1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,2,1,1,3,1,1,1,3,1,
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,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,-2,3,1,5,
1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,1,4,2]],[[2,
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1],[1,1,3,-1,4,2,5,-1,1,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,
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4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
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5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,1,1,3,-1,4,1,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
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3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,
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1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,
1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,1,1,3,-1,5,-1,1,1,4,-1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,5,-1,1,1,4,-1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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5,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,
3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,
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3,-1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,3,-1,1,1,3,1,4,2,5,-1]]],[[[2,-1,1,
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1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
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-1],[3,1,1,1],[3,-2],[5,1,4,-1,1,1,3,-1,1,1,3,1,1,1,4,1,5,1]]],[[[2,-1,1,-1,2,
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3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-2,1,1]],[[2,-1,1,
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4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,
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1,1,3,1],[3,1,1,1,4,1,3,1,4,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,
1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,3,1,1,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,
2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,1,1,4,-1,3,1,1,1]]],[[[2,-1,1,
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1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1],[5,1,6,-1,5,1,6,-1]]],[[[2,
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1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1,1,1,3,-1,4,1]]],[[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-1,1,1,3,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
1,1,1],[4,1,1,1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,1,1,4,-1,3,1,1,1]]],[[[2,-1,
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1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,1,1,3,-1,5,
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-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,
1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,
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4,-2,3,1,1,1,4,-1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,
1,3,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[
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1],[5,1,3,-2,4,2,1,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,2],[4,1,3,-1,5,-1,4,1,3,2,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,
1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,3,1],[7,1,6,1,5,
-2,6,-1,7,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,
1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,-1]]],[[[2,-1,1,
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1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,
1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,
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1,4,1,5,3,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
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-1,2,-1],[3,1,1,1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,4,-1,3,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
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2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,1,4,1,5,1,4,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,1,3,1,1,1,5,1,4,-1,3,
-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,-2,
6,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-1,3,-1,5,-1,1,1,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1,3,1,1,1]],[[2,
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1,4,1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,1,1,1],[4,1,3,2,1,1,3,-2,1,1,3,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,
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2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,
-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,2,5,-1]]],[[[2,-1,1,
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4,-3,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,
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1],[3,1,5,-1,4,1,5,-1,4,-2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,
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1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[
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1],[5,1,4,-1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,-1,5,1,3,-2,4,2]],[[2,-1,
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]],[[2,-1,1,
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2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,-1,1,1,3,-1,4,1,1,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,2,1,1,3,-1,5,-2,3,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,-2,3,1,4,1]],[[2,1,1,1,2,-1,1,
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1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,2,1,1]],[[2,1,1,1,2,
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-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,
1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,1,1,3,-1,5,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,
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3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1,3,1,1,1,3,-2,4,-1]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[5,1,4,-2,3,1,1,1,5,1,4,1,3,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,2],[4,1,3,1,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-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],[3,1,4,1],[5,3,4,2,3,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-2,3,-2,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,
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1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,
1],[4,1,3,1,5,1,3,2,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,1,4,1,3,1,6,1,5,1]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,
3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,-1,1,1,3,-1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
1,1,3,-1,4,2,5,1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,
-2,1,1,3,-1,5,-1,1,1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,3,1,5,-2,6,2,4,1]]],[[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1],[5,1,
3,2,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[5,1,3,1,4,1,3,-1,4,1,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1],[4,1,3,1,5,-2,6,2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
1,1,1],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,1,3,1,4,
2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-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],[4,1,3,-3,4,2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,
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3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[3,1,5,1,4,-1,3,1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,1,1,1],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2,4,1,3,1,4,2,3,
1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,3,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,-2,3,2,5,-1,
4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[3,1,4,1],[4,1,3,1,6,1,5,1,6,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,
2,1,1,1],[3,1,4,1],[4,1,5,1,3,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1],[3,2],[4,1,3,1,1,1,2,-1,1,1,2,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1,3,2,4,1,3,1]]],[[[2,1,1,1,
2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1],[5,1,3,2,
5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
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2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,5,-1,4,1,5,-1,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,
1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,3,1,6,1,5,1,6,
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1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,
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3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-2,4,1,5,-1]]],[[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,-1,1,1,2,-1,1,1,2,1,1,1,4,1]],[[
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1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[6,1,5,1,4,-1,3,
1,7,-3,5,-1,4,1,3,-2,6,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,2]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,4,1,3,1,
4,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,1,1,5,1,3,1,1,1,5,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,
-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,1,4,1],[5,-2,3,2,5,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,-1,4,1,3,1,4,1,3,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,4,1,1,1,3,-1,4,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-2]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,2]],[[
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1],[3,2,1,1],[5,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,2,3,1,5,1,4,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,3,-1,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,
5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,
1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,4,2,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[
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3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1],[5,1,3,2,5,-1]],[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,-1,4,1,5,
1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1,3,-2,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-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],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,2,3,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,3,
-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]]],[[[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,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,4,-1]]],[[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-1,1,1,2,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,
2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,3,
1,4,1,6,-1,5,-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,
2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,3,-2,4,1,5,-2,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,1,4,1,3,2,4,1,3,1]],[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,-1,4,1,5,-1,4,1,
5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
-1,5,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,2,5,2,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,
1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,
1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1,1,1,4,-1,5,1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[4,1,5,1,
4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,
-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,
1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,-2,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
3,1,1,1],[5,1,3,2,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-1,4,1,5,2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,
-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1,3,2,
4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,
1,4,1,3,2,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,
1,1,1],[3,2],[5,1,4,1,5,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-1,4,-2,5,1,4,-1,5,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1],[5,2,4,-1,6,2,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,-2,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,1],[3,1,4,1,
5,-1,6,1,4,1,6,-1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1],[7,1,5,1,6,1,5,1,7,-1,6,1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-3,3,-2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,
-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[5,1,6,-1,4,1,6,1,5,-1]],[[2,1,1,1,
2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,
1,5,1,6,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,
-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[3,2],[4,1,3,1,1,1,2,-1,1,1,2,1,1,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1,
1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,5,1,6,-1,5,1,6,
-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-3,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,4,2,3,-1,1,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,
3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[4,1,1,1,4,-1,3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,1,1,3,-1,4,2]]],[[[2,1,1,1,2,-1,1,1,
2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[3,2,4,1,3,1],[6,1,5,1,
6,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[3,1,4,1],[5,1,4,1,5,1,6,-1,4,1,6,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,4,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[1,1,3,-2,4,-1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-1,4,
-1],[5,1,3,-2,5,-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,
2,-1],[1,1,3,1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1],[4,2,3,1],[5,1,7,1,6,1,7,1,5,-1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,3,1,5,1,3,1,5,
-1,4,-1,5,1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,
1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,-1,4,
-2,3,-2]],[[2,-1,1,-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,
3,1],[3,1,1,1],[1,1,3,-1,4,2,5,-1,1,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,
3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,1,1,1],[1,1,3,3],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-2,4,2,5,-1,
3,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,
1,4,-1,3,-1,4,-1,5,1,3,-1,4,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,5,2,4,-1,5,1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1,4,1,5,-2,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,
1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,
2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,3,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,-1,4,
-2,3,-2]],[[2,-1,1,-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,
3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,
2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,1,4,2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,
-1,1,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,5,-1,4,-2,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,
1,5,1,4,1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
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-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
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1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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2,1],[1,1,3,1],[3,1,1,1],[5,2,3,-1,4,-1,5,1,4,-1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,
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1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,1,3,1,5,-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,
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-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,1,1],[3,2],[4,1,3,1,5,1,4,1,3,-1,5,-1,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,
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1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,
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2,3,1],[5,1,6,2,1,1,3,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,-1,4,1,3,1,4,1,5,-1,1,1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-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,-1,2,-1],[1,1,
3,1],[4,2,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[
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1],[5,1,4,-1,3,-1,4,-1,3,1,1,1,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,2,6,
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-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2],[5,1,6,1,5,
1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,1,1,3,1,1,1,4,1,5,-1]],[[2,-1,1,-1,2,
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-2,4,1,5,-1,4,1,5,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,5,-2,4,2,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
-1,3,-2,5,-1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,
1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,4,1],[5,1,4,-1,6,-1,1,
1,3,-1,5,1,4,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,
4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,
1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,
-1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,
1,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
4,1,5,-2,1,1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,4,-1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,4,2]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,
1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,3,1,4,1,5,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,1,1,1,2,-1,1,1,2,1,1,1,3,-1,4,
-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,
1,4,1],[6,1,5,1,3,1,4,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,3,-1,5,-1,6,-1,4,1,3,1,6,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,-1,4,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,1,1,3,-1,4,-4,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
-1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,-1,4,1,
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2,-1,1,1,2,1],[3,1,1,1],[4,1,1,1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
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1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,
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-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,5,1,4,-1,5,1,6,-2,5,2,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,2,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1],[1,1,3,-1,4,2,5,-1,1,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,
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-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,1,1,5,2,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-3,4,1,
5,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,1,1,3,-1,4,1,3,1,
4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1,5,-1,1,1,4,-1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,4,2,3,1,1,1]],[[2,
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1],[4,1,3,1,4,1],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,
1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,2,3,1,1,1,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,
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1],[3,1,5,1,4,-1,5,1,4,-1,5,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,1,1,3,-2,4,1,3,1,
5,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,
5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,
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1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,
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2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,
-1,5,1,3,-1,4,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,5,2,4,-1,5,1,3,-1]]],[[[2,-1,1,
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1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,
5,-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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3,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,-1,1,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,1,5,1,4,1,1,
1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[1,1,3,-2,4,-1,1,1,4,-1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,
3,1,5,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,
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4,-1,3,1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,1,1,5,1,3,1,1,1,5,1,4,2,3,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,-1,4,-2,3,-2]],[[2,
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1],[1,1,3,-1],[5,1,3,1,4,2,6,-1,3,-2,4,1,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,
-1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,1,1,3,1,1,1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,
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1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,1,3,1,4,1,5,-2,6,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
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-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,4,2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
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1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,1,1,3,-1,4,1,1,1,3,-1,4,2]],[[2,-1,1,-1,2,
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2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[6,1,5,-1,4,-2,
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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,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,3,1,5,-1,
1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,-2,3,1,1,1]],[[2,-1,1,-1,2,
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2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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-1],[4,1,5,-2,6,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1,3,-1,4,-2,5,1,3,-2,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,1,1,1,3,
1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-1,5,1,3,-1,4,-2]]],[[[2,
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1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,2,3,1]],[[2,-1,1,-1,2,
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3,1,1,1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1],[1,1,3,-1],[5,1,4,2,1,1,3,-1,4,-1,3,-1,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
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1,1,1],[3,1,4,1,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,3],[4,1,5,-1,4,1,5,
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1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1,3,1,4,1,3,-2,5,-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,
2,1,1,1],[3,2],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,3,-2,4,1,5,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
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4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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1,1]]],[[[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,-1,2,
-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,-1,1,
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1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,
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-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[5,1,4,1,3,1,1,1,3,-1,5,2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1,3,1,1,1,4,-2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
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-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
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2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-2,1,1,4,
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1],[3,1,1,1],[5,2,4,-1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,2,6,-2,4,-1,3,-2,
5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,2,3,1,4,2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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2,-1],[1,1,3,1],[4,-2,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,
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1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[1,1,4,-1,1,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,
1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
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-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,1,1,3,-1,4,-4,3,-1]],[[
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1],[5,1,3,-1,4,-2,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,4,1,5,-2,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,
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1,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,-1]]],[[[2,
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1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,
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1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,
5,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,
-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,
1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,
1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,3,2,4,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
1,1,1],[3,1,4,1,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,
-1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-1,1,1,
3,-1,4,1,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,
5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2,5,
2,4,-1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,1,1,1],[1,1,3,2,4,-1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-3,4,-1,3,
1,1,1,4,2,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,5,1,3,-1,5,-1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,
2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,-2,3,-1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,
4,-3,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-1,1,1,
3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1],[3,-2,4,-1,5,2,4,-1,1,1,3,-1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,5,-1,1,1,4,-1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,1,1,5,2,
3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,-2,3,-1,5,2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,-1,1,1,3,-1,4,2]],[[2,
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1],[3,1,5,1,4,-1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,1,3,1,5,-1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,1,1,1],[4,2,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,
1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,5,1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,
1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[4,1,3,1,4,1,1,1,3,-1,1,1,3,-1,4,2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,
1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1,3,3,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,
1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1,3,2,5,-2]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,
2,4,1,1,1,3,-1,4,-2,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,-1,1,1,3,1,4,1,3,-2]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,
1,1,1,4,2,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,1,3,
1,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-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],[3,2],[4,2],[6,1,5,1,6,-1,5,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,
1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,3,1,4,1,1,1,3,-1,1,1,3,-1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[4,2,3,-2,1,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
1,1,1],[3,1,5,1,4,-1,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,1,1,3,1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1],[6,1,4,1,3,1,5,-1,6,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,
4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-2,1,1,3,-1,5,-1,1,1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,3,
1,5,-2,6,2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,
1,3,1,4,1,3,1,4,2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,
2,1,1,1,3,1],[3,-1,4,1,3,3,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,
2],[3,1,1,1,2,-1,1,1,2,1,1,1],[4,1,5,1,4,-2,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,-2,4,1,3,-1,4,1,5,1,3,1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,1,3,1,5,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[
6,1,4,1,3,1,5,-1,6,1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,
1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[3,-1,5,-1,4,1,3,-1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,-1,1,
1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[1,1,3,-2,4,1,3,1,1,1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,3,-1,4,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,
-2,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,2,-1,1,
1,2,1,1,1],[5,1,4,1,3,1,5,-1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,5,1,6,-1,4,1,6,1,5,-1]]],[[[2,1,1,
1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,-4,4,1]],[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,
1,5,1,4,1,5,1,6,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1],[3,1,4,1],[4,1,3,2],[6,1,5,-2,6,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
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1],[3,1,1,1],[5,1,4,1,5,-1,3,-1,4,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,1,1,3,-2,4,1,3,1,
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-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,
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1],[5,1,6,1,4,-1,6,-1,4,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,1,1,3,-2,4,1,3,1,5,1,4,1,
5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,-1,4,2,3,1,4,1,5,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,3,1,5,-1,1,1,3,-1,5,-1,1,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,4,-1,3,1,1,1,3,1,4,1]],[[2,-1,1,-1,2,
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5,2,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[5,1,3,-2,6,2,4,2,5,-1]]],[[[2,1,1,1,2,-1,
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1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,4,2,3,1,5,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,
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1,1,3,1],[3,1,1,1],[1,1,3,-1],[6,1,5,-2,3,-1,6,1,4,1,3,1,4,1]]],[[[2,-1,1,-1,
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1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,1,4,
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,4,-1,5,1]],[[2,-1,1,-1,2,
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1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,-1,5,-1,4,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
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2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,1,6,1,5,1,3,1]]],[[[2,-1,1,-1,2,
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5,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
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1],[4,2],[5,1,1,1,3,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,-2,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1,3,-1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,5,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1,1,1,3,-1,4,1]]],[[[2,-1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
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3,2],[4,1,5,1],[6,1,5,1,4,1,3,-1,6,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,3,1,4,1,3,-1,4,1,5,-1]]],[[[2,1,1,1,
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2,1,1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,1,1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
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1,1,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,-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,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,4,-1,3,-2,5,-1]]],[[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
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2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-2,5,-1,
4,1,3,-1,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,
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4,-1,5,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1],[6,1,4,-1,6,1,4,1,5,1]]],[[[2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3]],[[2,
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1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,-1,4,1,3,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1],[3,2],[4,1,1,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,3,1,5,
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1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2],[4,2,1,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1,3,2,4,1]],[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,5,1,4,1,3,-1,
4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,
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-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,1],[1,1,3,
1,5,-1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,5,2,4,-1,5,1,3,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,5,-2,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,4,2,3,1,1,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
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-1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,
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4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,4,-1,3,-2,5,-1]]],[[[
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1],[1,1,3,-1,4,1,5,-2,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1,1,3,1],[4,1,3,1,4,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,-2,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,1,3,1,4,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
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1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,2,1,1,3,-3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,-1,2,1,1,1],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,1,4,-1,3,1,4,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,
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1],[4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,2,3,1,1,1,3,1]],[[2,
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1],[1,1,3,-1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-1,5,1,3,-1]],[[2,
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2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,
1],[5,1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,4,4]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1,4,-1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,1,1,1,2,-1,1,1,
2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1,3,-1,4,1,3,-2]],[[2,1,1,
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],[4,1,3,-1,4,1,3,1,4,1,
3,2,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[4,1,3,-1,4,1,5,-1,4,1,3,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,
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1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,
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-1],[1,1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,3,3,1,1,1]]],[[[2,1,1,1,2,
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1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,3,-1]]],[[[2,1,1,1,2,-1,1,
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1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,3,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,1,6,-1,4,1,
3,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[4,1,3,1],[5,-2,6,1,3,1,4,1,5,-1,6,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,-1,1,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,3,1,
1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-1,3,1,4,-1,3,1,4,-1]],[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1,4,2,3,1,4,-2,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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2,1,1,-1,2,1,1,-1],[4,1,3,1,4,-1,3,-1,4,1,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,
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-1],[5,1,4,-1,5,-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,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
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1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1],[3,1,1,1,5,1,3,1,1,1,3,-2,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2],[3,1,1,1,4,-1,3,-1,4,
-1],[5,1,6,-2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[3,-2],[3,1,4,2],[6,1,5,1,7,1,5,1,7,-1,6,1]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[
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2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,1,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,
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1],[5,1,3,1,5,1,4,-1,5,-1,4,-1,5,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,
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-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[6,1,5,-1,4,1,5,-1,6,1,4,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
1,1,1],[1,1,3,-1],[5,1,4,2,3,1,6,1,4,1,3,1,4,1,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,
1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,1,1,4,-1,3,-1,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1],[3,-2,4,1,5,-1,6,2,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,
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5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[3,1,4,1],[6,1,4,1,5,-1,1,1,3,1,5,1,6,-1,4,-1]],[[2,-1,1,-1,2,
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5,1,3,1,1,1,3,-2,5,-1,4,1,5,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,5,-1,4,2,3,1,5,
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1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,-1,4,-2,3,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,
4,1,5,1,3,-1,4,1,3,1,4,1,5,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,1,3,1,5,-1,4,1,5,1,4,-1,
3,-1,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,
4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[4,2,3,1,1,1,3,-1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,1,3,1,1,1,3,1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,
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-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[
5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,
4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,1,4,1,3,1,4,1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,
1,4,1],[6,1,4,1,5,-1,1,1,3,1,5,1,6,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,4,1,5,1,3,-1,4,1,
3,1,4,1,5,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,5,-1,4,2,3,1,5,-1,3,-2]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,
1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[6,1,
4,1,5,-1,1,1,3,1,5,1,6,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2],[3,1,4,2],[6,1,5,1,7,1,5,1,7,-1,
6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,
1,3,1,4,1,5,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-1,1,1,3,-1,4,2]]],[[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,1,1,1,
3,-1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,
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1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,
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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,-1,2,-1],[
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2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,
6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,-1,1,1,3,-1,4,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,2]],[[2,-1,1,
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1,3,1,4,1],[6,1,1,1,3,-1,5,2,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,-2,4,1,5,-1,6,2,4,1,5,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,
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1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,
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1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,-1,1,1,3,-1,5,-1,4,1,5,-1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,
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-1,1,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,
1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,
3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
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-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1],[4,1,5,-3,4,1,5,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,1,1,3,-1,4,1,1,1,3,-1,4,2]],[[2,-1,1,
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3,-1,4,2,1,1,3,-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,
2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,-2,3,1,5,
1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,
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2,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,1,1,3,-1,4,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,-1,1,
1,3,-1,5,-1,4,1,5,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,-1,4,2,5,2,4,1]],[[
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1],[3,1,4,2,1,1,3,-1,5,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,
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2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[
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1],[5,1,3,-2,4,2,1,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,5,-1,4,
-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,3,-1,6,2,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,-2,1,1]],[[
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1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,-1,3,-1]]],[[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1,1,
1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,1,1,1,3,-1,4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,
1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,-2,6,2,4,1]]],[[[
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1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,
-1,5,-1,1,1,4,-1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,2,3,1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[1,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,5,1,6,1,3,1,4,1]],[[2,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,-2,3,2,5,-1,4,
1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
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2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[5,1,4,1,5,1],[7,1,6,-2,7,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
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-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,1,1,3,-1]],[[2,-1,1,
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2,3,1],[5,1,7,
1,6,1,7,1,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,-1]],[[2,
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1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,
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-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,1,1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[
5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[5,1,6,-1,4,-1,3,1,1,1,5,1,6,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,
1,4,-1,5,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,1,1,3,-2,4,1,3,1,5,-1,4,1,5,1]]],[[[
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1],[4,1,3,1,5,-2,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,-2,3,-1,
5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-3,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,2,3,1,5,1,4,2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,
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1,2,-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,1,1,1,3,
1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,1,4,-1,5,-1,4,-1,5,1,3,-1]],[[2,
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4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,2,3,1]]],[[[2,
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1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,
1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,4,2,1,1,3,-1,4,2,3,1,1,1]],[[2,
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,
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1,1,1,5,1,3,1,1,1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,1,1,3,1,5,-1,
4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,
1,4,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,1,
4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,
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-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,3,1,1,1,3,1,4,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,1,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,4,1],[5,1,6,-1,4,-1,3,1,1,1,5,1,6,1,4,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[5,1,6,-1,4,-1,
3,1,1,1,5,1,6,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,5,-1,4,-2,3,-1]],[[2,
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1],[5,1,3,-2,4,1,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,1,3,1,1,1,3,-2,4,1,5,1]]],[[[
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3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,-2,3,-1,5,2,4,1]],[[2,
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1],[1,1,3,-1,5,-2,4,-3,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[3,1,4,1,3,-1,1,1,4,1,5,
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1],[3,1,1,1],[5,1,3,2,4,1,3,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
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2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,
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1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1],[3,1,4,2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,-3,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
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1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,5,-1,4,-2,3,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,
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4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[
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1],[5,1,4,-1,3,-2,5,-1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,
1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[1,1,3,-1],[5,1,4,-2,3,-1,1,1,3,1,4,2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[
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-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,-2,1,1]],[[2,-1,1,-1,2,-1,1,1,2,
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4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,4,1,1,1,3,-1,4,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1,3,1,1,
1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[3,1,4,2,1,1,3,-1,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[
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1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-2,4,2]],[[2,-1,1,
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3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,1,1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,1,
1,3,-1,4,1,5,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1],[3,-2,4,-1,5,1,1,1,3,1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,
2],[6,1,7,1,5,-1,6,1,7,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
3,-2,4,1,5,2,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[3,1,4,2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1],[5,1,6,-1,5,1,6,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,
-1],[5,1,4,1,3,1,4,1,5,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,3,2,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,1,
2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,1,4,1,5,1,4,1,3,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,
1,3,2,4,1,5,1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,1,4,
2]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,2,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,
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3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,
-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,
1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]]],[[[2,-1,1,
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4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,1,3,1,4,1]]],[[[2,
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3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,1,1,3,-1,5,2,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,1,1,4,-1,3,-1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,
1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,
1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,3,-2,4,1,1,1,3,-1,4,2]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[
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1],[5,1,4,-2,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,
4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,4,2,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,1,1,3,-1,5,-2,4,
-1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,2,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[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,
2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-3,4,1,
5,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,1,1,3,-1,4,1,3,1,
4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,
1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,
5,1]]],[[[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,-1,2,
-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,3,4,-1,3,1,1,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1],[3,1,4,1,5,-1,6,1,4,2,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,-1,5,
1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,-2,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,
1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
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1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,1,1,3,1,1,
1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
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2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,
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-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-3,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,
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1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,1]],[[
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1,1,3,-2,4,3,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,1,1,3,-1,4,-2,5,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,1,1,3,
1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,3,1,1,1,
3,1,4,2]],[[2,-1,1,-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,
3,1],[3,1,1,1],[5,1,4,-1,3,-2,5,-1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,
1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-1,3,1,1,1,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,
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-1],[4,1,5,2,6,-2,4,-1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,5,2,6,-2,5,1,3,-1,4,
-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,1,1,1,3,3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,
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3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
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4,4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,-1,4,-1,5,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,2,5,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,3,1,4,4]],[[2,-1,1,-1,2,-1,1,1,2,
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-1],[1,1,3,1],[3,1,1,1,4,-1,3,-2,1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,
4,-1,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-2,1,
1,3,-1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,
-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,
2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[3,1,1,1,3,-1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[5,1,4,-1,5,1,3,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,4,1,5,-1,6,1,4,2,5,
-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[
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1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,4,2,3,1,1,1,3,-1,
4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,3,1,5,-1,4,1,5,1,4,-1,3,-1,4,-1,3,1,1,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,
4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,-2,5,1,3,1,5,
-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,
3,1,4,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-1,4,1,1,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,
3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,1,1,1,3,4,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
3,1,4,1],[5,1,6,-1,4,-1,3,1,1,1,5,1,6,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,2,6,-2,
4,-1,3,-2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,
1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,
1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-2,3,1,
1,1,4,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,-2,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,4,1,5,-1,6,
1,4,2,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[
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1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,
4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,1,1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,1,4,2,5,1]],[[2,-1,
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1,4,-1,5,-1,3,-1,4,2,3,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-1,5,1,3,-1,4,
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2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,5,2,6,-2,5,1,3,-1,4,-2]]],[[[2,1,1,
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1,1,2,1],[1,1,3,1],[1,1,3,-1],[5,1,3,-1,4,1,1,1,3,-1,5,1,4,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,
1,5,-2,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
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2,-1,1,-1,2,-1],[1,1,3,-2,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,-2,3,
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3,1],[1,1,3,-1],[3,1,1,1,4,-2,3,-1,5,2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,3]],[[2,1,1,1,2,-1,
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1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,
1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
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2,-1],[3,1,1,1],[1,1,3,-1,4,-2,3,-1,1,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,1,1,3,-1,1,1,3,-1,4,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,-1,4,1,5,1,6,
-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,
1,5,1],[6,1,5,1,6,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,4,1]],[[2,1,1,1,2,
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-1],[1,1,3,1],[4,1,3,1,4,1,1,1,3,-1,1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-2,
3,-2,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,1],[4,2,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[
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1],[5,1,3,-2,4,1,5,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,1,1,3,-1,
4,1,3,1,4,1,5,-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,
2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,1,1,3,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,
1,4,-1,3,-1,4,-1,3,1,1,1,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,5,2,6,-2,5,
1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[5,1,6,-1,4,-1,3,1,1,1,
5,1,6,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,5,2,6,-2,4,-1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[
3,1,5,2,6,-2,5,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,3,1,4,2,1,1,3,-1,
4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,3,1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,
-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,
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-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
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2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
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1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,3,1,5,-2,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[3,1,1,1,4,
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2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,-1,5,1,3,-1,4,-2]],[[2,1,1,1,2,-1,1,
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1,5,1,4,-1,5,1,4,-1,5,1,3,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,-2,4,-1]],[[2,
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3,1,4,1,1,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,2,1,1,3,-3,4,-1]],[[2,1,1,1,2,-1,
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2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
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5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,2,3,1]]],[[[2,
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1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,1,3,1,5,-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,
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1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,
1,1,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
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2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,3,1,5,
-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,3,-2,4,1]]],[[[2,
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3,1,4,2,3,3,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,
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3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,1,1,3,-1,5,2,4,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,1,4,2,5,1]]],[[[2,-1,1,
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1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,3,-2,1,1,3,-1,4,-2,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,1,4,1,5,1,1,1,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1],[6,1,4,1,3,1,5,-1,6,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,
1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2,5,-1,6,1,5,-1,1,1,4,-1,6,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,1,1,3,
-1,5,-1,1,1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,1,3,1,5,-2,6,2,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,4,1,5,1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,2,5,-2]],[[
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1],[5,1,3,-2,4,2,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,
1,5,2]]],[[[2,-1,1,-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,
3,1],[3,1,1,1],[4,1,5,-2,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,-1,5,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,
-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,3,1,4,1,5,1,4,1,3,1]],[[2,1,1,
1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,3,2,4,
1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-2,1,1,3,-1,4,1,
3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,-1,5,1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,
3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[3,1,5,1,4,-1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,-2,5,1,3,1,5,-1,4,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1,4,2,5,-1,4,-1,5,1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,1],[5,1,3,1,6,1,3,1,4,1,5,-1,6,1,4,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,
1,4,1],[4,1,6,1],[7,1,5,1,6,1,5,1,7,-1,6,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
3,1,1,1,3,-1,4,-1,1,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,1,1,3,-1,
4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,2,1,1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[3,1,5,1,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,
-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,4,4,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,2,3,1,4,1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,1,1,3,-1,4,
2]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-3]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,1,3,-1,4,1,3,1,4,-1]]],[[[1,1,2,1,
1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,1,1,1],[3,1,4,-2,3,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
2],[4,1,3,1,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-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],[4,2,3,-1,4,1,3,-1,4,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,4,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,-2,4,1,1,1,3,-1,4,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[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,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,
-2,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,-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,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,
-1,1,1,3,1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,
2,1,1,1],[3,2],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,5,1,6,-1,5,1,6,-1,4,
1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,
1,3,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[
3,2],[5,1,3,1,4,1,5,-2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]]],[[[1,1,2,1,1,
1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,1,1,1],[3,2,4,1,3,1,4,2,3,-1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[5,1,4,
-1,5,-1,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,
1,1,1],[3,1,4,1],[4,1,5,1,3,-2,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,4,1,5,-1,4,1,5,-1]]],[[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1,4,-2,3,-1,4,2,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1],[5,1,6,1,
4,-1,5,-1,4,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-1,1,1,3,-1]],[[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,-1,2,-1],[3,1,1,1,3,-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,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,
-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,
4,-2,3,1,1,1,4,-1,3,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,2,3,1,5,1,4,2]]],[[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-1,4,2,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,-1,5,1,4,1,3,
-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-2,4,1,5,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,2],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1,4,
-1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,1,1,2,1,1,1,2,1,3,-1]],[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[5,1,4,2,3,-1,4,1,3,1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,-1,3,2,1,1,4,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,1,1,1],[3,1,5,-1,4,-1,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,-2,3,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,-1,
4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,3,-2,4,1,5,-1,4,1,5,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,
4,1,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,1,3,1,4,1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,
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-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
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1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
2],[1,1,3,1,4,2,3,1,1,1]]],[[[2,-1,1,1,2,1,1,1,2,1]],[[2,-1,1,1,2,1,1,1,2,1],[
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1,3,1,4,-2,3,-1,4,1,3,-1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1],[4,2,5,1,4,1,
3,-1,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,
4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,1,4,-1],[4,1,5,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2],[5,2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2],[
6,1,7,1,5,1,6,-1,5,1,7,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,
-1,1,1,4,-1,5,1,3,1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,
1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,-1,4,1,3,1,4,1,3,-1,4,1,5,-1]],[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,
6,-1,3,2,6,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,
1,1],[3,2],[3,1,4,1],[6,1,5,1,6,-1,4,1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2],[4,2,
1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,
4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,1,1,4,-1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,
-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,
3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,2,3,-1,1,1,4,1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,4,-1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[
5,1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,-1,3,1,4,-1,3,1,4,
-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,-1,1,
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3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,1,4,-1,3,-1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,
1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,-2,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,1,5,2]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[
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1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,-2]]],[[[
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1],[4,1,5,-1,4,-1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,1,4,-1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,3,1,
5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-1,1,1,3,-1,4,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,
2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,1,5,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,-3,1,1,3,3,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,3,-1,4,-1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,
3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,5,1,1,1,
3,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,2,3,1,4,1,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[4,1,3,1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
5,1,4,-2,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,3,-1,4,-2]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,2,3,1,
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,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1,1,1,3,-1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
1,1,3,-1,4,1,5,2,3,-2,4,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3,2,-1,1,-1,2,-1,1,-1,2,1,3,-1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,
1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[3,1,2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1,3,1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1,4,1,3,-1,4,1,3,1,4,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,
-1,4,-1],[5,1,6,-1,5,-1,6,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,-1,5,
-1,4,1,3,1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,
3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,-1,3,-1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[4,1,5,2,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,
3,1,1,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,-2,4,1,3,1,1,1,3,1,4,2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-1,3,2,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,
2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,4,1,3,-1,6,-1,5,
-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,2,3,1,4,-1,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,
-1,4,1],[3,-1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,
2,1,1,1],[3,1,4,1],[4,1,3,-1,4,1,5,1,3,2,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,1,4,1,5,1,6,
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],[3,-3]],[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,1,1,1],[3,1,4,-2,3,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,2],[4,1,3,1,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-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],[3,2],[4,1,3,1,4,1,5,1,4,-1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[4,1,5,1,
4,1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-1,1,1,2,-1,1,1,2,1,1,
1,3,2]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,
2],[4,1,3,-1,5,-1,4,1,5,1,4,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,2,1,1,3,-2,1,1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,
-2,4,2,3,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,
1,1],[3,2],[4,1,3,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,-1,4,1,5,1,3,2]]],[[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,2,4,1,3,-2,4,1]],[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,
-3,4,1,3,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-1,4,1,3,1,5,
-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,-1,3,1,4,-2,5,-1]],[[2,-1,
1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,
1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,-1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,1,3,2,4,1,3,-2,4,1]],[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,1,4,1,
5,-2,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,2],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,2,3,2,1,1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
4,1,1,1,3,-2,4,-1,3,2,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,1,1,3,-2,4,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,2,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,-2,1,1,3,2,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1],[4,1,3,-1,1,1,4,1]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[4,1,3,1,4,1,3,1,5,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,1,
2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,2,4,1,5,1]],[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1,4,
1,3,-1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,1,3,
1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[4,
1,3,-1,4,1,3,-2,4,1,3,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,2],[5,1,3,1,4,1,3,-1,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,2,3,1,4,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[3,1,1,1],[4,2,3,2,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,
4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,-1,1,1,3,-1,4,1,1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,2,1,1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,1,1,4,-1,3,-2,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,1,1,3,1,1,1,4,1,5,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1,4,1,5,-2,3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2],[4,1,3,1,
4,1,3,1,1,1],[5,1,6,1,5,1,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[6,1,5,-1,4,-2,5,1,3,1,4,2,6,
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1,2,1],[1,1,3,1],[3,1,1,1],[4,2],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,
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4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
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3,1],[1,1,3,-1,4,-4,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
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5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2],[4,1,3,1,4,1,3,1,1,1],[5,1,6,1,5,1,6,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[3,1,4,1],[6,1,4,1,5,-1,1,1,3,1,5,1,6,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2],[3,1,4,
2],[6,1,5,1,7,1,5,1,7,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1],[5,1,4,-2,
1,1,3,1,1,1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,-1,4,2,5,1,3,1,1,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,
1,1,1,5,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[4,1,1,1,5,1,3,1,1,1,5,1,3,-2,4,1]]],[[[1,1]],[[2,
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1,3,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,
1],[5,1,6,1,5,1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,
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-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,
-1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,
3,2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,-1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,
-1,4,1,1,1,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,
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5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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-2,3,-1,1,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,2,3,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[4,1,3,1,4,1],[6,
1,1,1,3,-1,5,2,6,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,-2,4,1,5,-1,6,2,4,1,5,2]]],[[[2,-1,1,
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1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1],[4,1,5,2,6,-2,4,-1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[3,1,5,2,
6,-2,5,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
5,1,4,-1,5,1,3,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,2,5,-1,1,1,3,-1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,
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3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,
1,3,-1,4,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[3,2],[3,1,1,1,4,-1,3,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-1],[4,2,3,-2,1,1,3,1,1,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,2,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,3,1,4,4]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,1,
5,-1,4,1,5,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,-2,1,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,3,1,4,1,5,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,3,4,-1,3,1,1,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,-2,4,1,5,2,
4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,2,3,4,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
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1,5,-1,4,-1,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-1,3,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,
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1,2,1],[3,1,1,1],[1,1,3,-1,1,1,3,2,4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2],[5,1,6,-1,5,1,6,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,1,5,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
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1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,
1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
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2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
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2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,
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1],[3,1,4,2],[5,1,6,1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[
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1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,4,2,3,1,1,1]]],[[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,
-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,-1,1,1,3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,
4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[3,1,1,1,4,-1,5,-1,4,1,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2,5,-1,1,1,3,-1,5,-2,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,
-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,1,4,-1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,
4,-2,3,1,1,1,4,-1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,
1,5,2,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,
1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,
-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,
1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,
3,-2,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,
-1,3,-1,4,2,5,-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,
2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,2,5,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,1,1,3,-1,5,2,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1,3,1,1,1,3,-1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[3,1,4,2,1,1,3,-1,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,4,2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,
2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,-1,4,-2,5,1,4,-2]]],[[[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-3]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-2,5,1,4,-1,3,1,4,1]],[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,
3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
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1],[3,1,1,1],[3,1,5,-1,4,1,1,1,3,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
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-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
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2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,1,1,3,-1,4,1,3,
1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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1],[4,1,5,-2,1,1,3,-1,4,1,5,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2],[6,1,7,1,5,-1,6,1,7,1,
5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,
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1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,
2,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,1,3,-1,4,-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,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,5,-1,4,1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-1,3,-1,4,-1]]],[[[2,
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-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,
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3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,-1,
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1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,3,1,5,1,4,-1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,
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-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,3,1,5,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,5,-1,
1,1,3,-1,4,1,3,1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,2,5,
-2,1,1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,3,-2,4,2,1,1,5,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,4,2,3,1,1,1]],[[2,
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1],[5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,1,1,1,2,-1,1,
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3,3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
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4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,-2,4,1,5,2,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,
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-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
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2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1],[5,1,3,-2,4,2,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
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1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,-1]]],[[[
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1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,4,1,3,1,4,1,5,2,4,1]]],[[[2,
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1],[4,1,3,1,4,2,5,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
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2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2,1,1,3,
-1,5,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,
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-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,
1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[4,1,1,1,5,2,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
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1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,
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2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,
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1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,
3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,
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1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,
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2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,-1,2,
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1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,
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1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
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-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
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1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]]],[[[2,-1,1,
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1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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4,1,3,1,1,1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-2]]],[[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
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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],[3,-1],[5,1,4,1,3,1,
4,1,5,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,-1],[4,1,1,1,3,-2,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,5,-3,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
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1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-1,4,2,3,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[4,1,1,1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,3,-1,4,-1]]],[[[2,-1,
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1,3,-1,4,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,1,1,1,4,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,5,1,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,2,1,1,3,-1]],[[2,-1,1,-1,2,
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3]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1,
1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,3,1,4,1,5,1,4,1,3,1]]],[[[
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2,1,1,1,2,-1,1,-1,2,1,1,1,4,1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,
3,1,4,1,3,2,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,
1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,2,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[5,
1,4,-1,5,1,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1,4,-1],[5,1,4,-1,5,1,4,-1]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,2],[4,1,3,2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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2]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,1,2,-1,1,-1,2,-1,1,-1,2,1],[4,1,3,1,4,1,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[
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2,3,-1,4,1,3,-1,4,-1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,-1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,1,4,-1,3,-2,5,-1,3,-1,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,-1,4,2,3,-1,6,1,4,1,6,1,3,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,
4,-2,3,1,4,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,-1,4,1,3,-1,4,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,1,4,-1],[4,1,5,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,-1,3,-2,5,-1]]],[[[2,1,1,1,2,
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1,2,1],[1,1,3,-2,1,1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,4,-1,5,1,3,1,5,1,
4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1,3,-2,1,1,3,-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,
2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,-1]],[[2,-1,1,
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1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,4,-1,3,-1,1,1,4,1]],[[2,1,1,
1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,
3,3],[4,1,5,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,4,2,3,1,5,-1,4,1,5,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[4,1,3,1,5,-2,4,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,-1,5,
-1,4,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[1,1,3,-2,4,1,3,1,1,1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,2,3,-1,1,1,3,1,1,1]],[[2,
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4,-1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,
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-1],[3,1,4,1,5,1,4,1,3,-1,4,1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1],[4,2,3,1,
5,2,3,1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1],[4,1,3,-1,4,-1,5,-1,3,-1,4,-1,5,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,2,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,4,1,1,1,3,
-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[3,1,4,2,5,1,3,1,5,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,1,1,4,-1,5,2,4,-1,5,1,3,
-1]]],[[[2,-1,1,1,2,1,1,1,2,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,1],[5,1,3,1,
5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1],[5,1,6,-1,5,1,6,1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,1,1,1,3,-1,1,1,4,-2,3,-1,4,
-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-3,3,-2,5,-1]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,
3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,-2],[4,2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,4,2,3,1]]],[[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,1,4,1,3,-1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,-1,3,1,4,-1]]],[[[2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,
-1,1,-1,2,-1,1,-1,2,1,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-1,3,1,4,-1,3,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,1,4,-1],[4,1,5,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,2,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,1,1,
3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,1,3,-1,4,1,3,-1,
4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1],[4,1,3,1,4,-1,5,1,3,1,5,-2]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,2,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,2,4,-2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,
4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,2,3,
-1,4,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,-1,5,1,4,1,3,-1,4,1,5,
1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,2,3,1,4,-1,3,-1]],[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[5,1,4,1,3,-1,4,1,5,1,4,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,5,2,4,-1,
5,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,1,4,1,5,-1,4,-1,5,1,3,-1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[
4,1,3,1,4,1,5,1,3,-2,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,-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,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,
3,1,1,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,1,1,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,
1,5,-1,4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,2,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,2,
4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1],[5,1,6,
-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,1,4,2,3,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
5,1,4,-1,3,-2,4,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,-1,5,-1,4,-1]]],[[[2,-1,1,1,2,1,1,
1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[5,1,4,2,3,-1,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,
3,-1,4,1,5,1,4,1,3,1,4,1,5,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,
4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-1,4,-2]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
4,2,1,1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,
4,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,-1,3,1,4,1,3,-1,4,1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,1,4,-1],[5,1,4,-1,3,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,
2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2],[4,2,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
1,1,1,3,-1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,3,2,4,2,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,-2,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
4,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,
1,1,1],[3,2],[4,1,3,-1,4,1,5,-2,4,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,
1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,1,4,1,5,1,4,1,3,1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,
1,4,1,3,1,1,1,5,-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,
2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1,1,1,3,1,1,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,
2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,1,4,-1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
1,4,-3,3,-1,4,-1,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,2,3,1,4,1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,
1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,4,4,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,-2,4,2,5,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[3,1,4,2,5,2,4,-1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
4,2,3,1,1,1,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,-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,
2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,3,1,4,1,6,-1,5,-1]],[[
2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,
1],[6,1,5,1,6,1,3,1,4,1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[5,1,4,2,3,1,5,-1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-1,4,1,3,2,5,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[1,1,3,-2,4,-1,3,2,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,-1,5,1,4,
-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,1],[5,1,3,1,5,-1]],[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1,4,1,3,-1,4,2,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,4,2,5,1]]],[[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,
-2,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[
3,2],[4,1,3,1,4,1],[6,1,5,-2,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,
-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,1,1,5,1]]],[[[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,-1,2,-1],[3,1,1,1,3,1,1,1,3,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,3,-1,1,
1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,4,1,1,1,3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,1,1,
3,-1,4,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
-1,5,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[
5,1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,4,-1,5,1]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
1,1,1,3,-2,1,1,3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,1,1,
1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,1,3,1,4,2]],[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-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],[3,2],[5,1,4,1,3,1,4,1,5,1,4,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,2,3,1,5,-1,3,
-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,1,4,-1,3,-2,5,-1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,1,4,-3,3,-2,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,
-1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,-2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,1,4,-1,
3,1,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[4,2,5,2,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,
2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
3,1,4,2,3,-2,1,1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,-1,
4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,4,-1,3,1,1,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,2,5,1]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,
1,3,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,2,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1],[4,1,1,1,3,-1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,-1,3,-1,4,
-2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,1,3,1,4,1,5,1,4,1,3,1]]],[[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[4,1,1,1,2,-1,1,1,2,1,1,1],[4,1,5,2]],[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,2,-1,1,1,2,1,1,1],[5,1,3,
-1,4,-1,5,-1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[4,1,5,1,4,1,5,
1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
3,1,4,1,5,1,3,1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,
1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,-1,4,1,5,1,3,1,6,-1]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,1,
3,2,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,
1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,-2,1,1,4,-1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,
5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[4,1,3,-3,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[
1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,3,-1,4,1,3,1,4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,3,4,1,5,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,
1,3,1,4,1,3,1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,
1,1,2,1,1,1],[3,1,4,1],[5,1,3,2,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1],[3,2],[3,1,1,1,2,-1,1,1,2,1,1,1],[4,-2],[6,1,5,-2,6,1]],[[2,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,3,4,1,3,-1,4,
1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,2,3,1,1,1,3,-1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
4,2,3,2,4,1,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,1,1,3,-1,4,1,3,
2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1,3,-1,4,1,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
1,4,1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
-1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,2],[6,1,5,-2,6,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[6,1,5,-2,4,1,6,1,5,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[1,1,4,-1,3,1,1,1,4,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,1]]],[[[2,1,1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,1,3,1,4,1,5,1,4,1,5,
1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[1,1,2,-1,1,1,2,1,1,1,3,
1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[4,1,3,2,4,-1,3,-1,1,
1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,1,3,1,4,2,3,2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-2,4,-1,3,2,1,1]]],[[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
1,1,1],[5,1,3,1,5,1,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,2],[4,1,6,1,5,2,6,1,4,
1]]],[[[1,1,2,2,1,1,2,-2,1,-1,2,-2,1,1,2,1,1,1,2,1,1,1,2,-2,1,-1,2,-1,1,1,2,1,
1,1,2,1,1,1,2,-2,1,-1,2,-1,1,1,2,1,1,1,2,1,1,1,2,-2,1,-1,2,-1,1,1,2,1,1,1,2,1,
1,1,2,-2,1,-1,2,1,1,1,2,2,1,-1,2,-2,1,-1],[2,-1,1,-1,2,-2,1,-1,2,-1,1,-1,2,1,
1,-1,2,1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[5,1,4,1,5,1,
6,-1,4,-2,3,1,4,-1,5,2,4,1,6,-1]],[[1,1,2,2,1,1,2,-2,1,-1,2,-2,1,1,2,1,1,1,2,
1,1,1,2,-2,1,-1,2,-1,1,1,2,1,1,1,2,1,1,1,2,-2,1,-1,2,-1,1,1,2,1,1,1,2,1,1,1,2,
-2,1,-1,2,-1,1,1,2,1,1,1,2,1,1,1,2,-2,1,-1,2,1,1,1,2,2,1,-1,2,-2,1,-1],[2,-1,
1,-1,2,-2,1,-1,2,-1,1,-1,2,1,1,-1,2,1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,-1],[3,
1,4,1],[4,1,3,1],[3,1,4,-1],[4,-2],[8,1,6,1,8,1,5,1,7,-1,4,1,6,-1,5,-1,6,1,7,
-1,8,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,-4,3,-1,1,1,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,3,-1,4,
2,5,-1,1,1,3,-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,
2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2],[4,1,5,1,1,1,3,
1,4,1,5,1,1,1,3,-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,
2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,1],[5,1,6,-1,4,-1,3,1,1,1,5,1,6,1,4,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[1,1,3,-1],[4,1,5,2,6,-2,4,-1,3,-2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1],[4,2,3,1],[5,1,7,
1,6,1,7,1,5,-1,6,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1,1,1,3,1,1,1],[4,1,3,-2,4,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,
1],[5,1,6,-1,4,-1,3,1,1,1,5,1,6,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
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5,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
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1],[3,1,1,1],[3,1,4,2,5,-1,1,1,3,-1,5,-2,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,
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1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-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,-1,2,-1],[1,1,3,1],[3,1,4,1],[3,1,1,1,4,-1,5,-1,4,1,5,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
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2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1],[5,2,4,-1,5,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,1,4,-1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,
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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,-1,2,-1],[1,1,3,
1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
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1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,1,1,4,-1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,
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-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,
3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
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2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,
1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,
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4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,3,1,4,1,3,1,5,-1,4,-1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,-1]]],[[[
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4,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,1,5,-2,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,1,1,3,-1,4,1,3,1]],[[2,-1,1,
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1,5,-2,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[3,-2,4,1,5,2,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,
5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,
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1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,
1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,
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1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,3,1,1,1,5,1,4,-2]]],[[[2,-1,1,
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4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,1,1,1,3,-1,4,2,5,1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,
1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,4,2],[5,1,6,1,5,1,6,-1]],[[2,-1,1,
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1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,
1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,1,4,2,5,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,
4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,-2,4,1,5,2,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[3,1,5,1,
4,-1,5,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,1,3,1,4,1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-2,4,1,5,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
5,1,4,-1,3,-1,4,2,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,3,1,5,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,
1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,5,-2,4,-1,
3,1,5,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,1,
1,5,2,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,
1,3,1,4,2,5,1,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
4,2,3,1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,-2,4,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,
1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,4,-1,5,1,4,-1,3,-1,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,
2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,2,5,-2]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[5,1,3,-2,4,2,3,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,
1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1,5,2,4,-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],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,2,3,1]],[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,4,1,1,1,3,-1,4,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2],[5,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-1,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-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],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,2,3,1]],[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,1,1,1],[3,2],[4,1,3,1,4,1,5,1,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-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,-1,2,-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],[3,1,4,-2,3,2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,
4,2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,-2,4,2,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-3,1,1,
3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[3,1,4,1,1,1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,3,2,5,2]]],[[[1,1,
2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,1,1,1],[4,2,3,-1,4,1,3,-1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[3,1,4,
-1,5,3,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,2,3,-1,4,1,3,1,4,1,3,-1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1,4,1,3,-1,4,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,3,3,-1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1,3,-1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,4,4,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[4,2,3,3,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,2,3,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,
1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,4,-2,3,2,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,2],[4,1,3,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,1,1,3,-1,4,2,3,1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,2,4,1,3,1,1,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,2,1,1,3,-3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,
1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,
4,1,3,1,4,-1,3,1,4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,1,
4,-1,5,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-1,3,1,4,-1,3,-1]],[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,1,4,-2,3,-1,4,2,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,
4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-3,3,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,2,3,
-2,4,1,3,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,3,-1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,2,5,-1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,
-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[3,1,4,1],[5,1,3,-1,1,1,5,1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,
3,-1,4,-2,3,1,4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-2,5,1,4,-1,3,1,4,-1,
5,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,-1,4,-1,5,
-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2],[5,2,4,1,5,-1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,
1],[3,2],[3,1,4,1,5,1,4,1,3,-1,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-1,3,-1,
4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-1],[4,1,5,-2,3,-2]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1]],[[2,1,1,
1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,
3,2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,2,3,1,1,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,
-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[1,1,3,-1,4,1,3,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,4,-2,3,-1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,
-2,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,
4,2,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,
1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1,4,-2,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,4,1,5,2]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,
4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3]],[[2,-1,1,1,2,1,1,1,2,1],[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,
1,3,1,4,2,3,1,4,-1,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,1,3,-1,4,1,5,1,4,
1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,1,4,-1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,
4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1,4,-2,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,-1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,
4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[4,2,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-1,3,-1,4,2,3,1]]],[[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,
1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,-1],[4,1,1,1,3,-2,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-3,4,-2]]],[[[2,
-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1],[5,1,4,1,6,-1,5,1,4,1,6,1]],[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,-1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[5,1,4,2,3,-1,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,1],[5,
1,4,-1,6,-2,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,
1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1,3,-2,1,1,3,1]],[[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,-1,2,-1],[3,1,1,1,3,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,-2,3,-1]],[[
2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,-1],[5,1,6,-1,5,-1,6,-1]]],[[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[4,1,3,-1,4,1],[5,1,6,-1,5,1,6,-1]],[[2,-1,1,1,2,1,1,1,2,1],[
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[4,1,3,1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[
4,2,3,-1,1,1,3,1,1,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,
1,4,-1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,-1,4,-1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,3,1,1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,
-1,4,-1,5,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[4,2,3,1,1,1,4,-1,3,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-2,3,
1,4,1,3,1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,1,3,1,4,2]]],[[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,
4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,2,3,4,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1],[4,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,
4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,1,1,3,-1,4,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[5,1,3,2,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-2]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[4,2,5,-3,3,-1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,-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,-1,2,-1],[3,1,1,1],[1,1,3,
-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,3,-2,4,1,5,-1]]],[[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[4,1,3,1,4,-1,3,1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-1,3,-1,4,1,3,1,4,
-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,2,3,-1,4,2,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[
4,1,3,-1,4,1],[5,1,6,1,5,-1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,-1,3,2,1,1,4,-1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
1,1,3,-2],[5,1,4,1,5,1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,
-1,3,-1,4,-2,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1],[4,1,6,-1,5,-1,6,1,
4,-1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,-1,5,1,4,-1,3,1,4,-1,5,
-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,-1,4,1,5,-1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,
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,-1,2,-1],[3,1,1,1,
3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,5,-1,4,2,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,
3,-1]],[[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,-1,2,-1],[3,
1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,2,2,-1,1,1,2,1,1,1,2,1,3,2]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1],[4,1,3,1,4,-1,5,1,4,1,3,-1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,4,
2,3,-1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,2,
4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
3,1,1,1],[4,2,5,1,3,1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1,3,1,1,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,-1,
5,-1,4,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-1,3,1,4,-1,3,1,4,-1]],[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[5,1,4,1,3,1,4,1,5,1,4,1,3,-1,4,1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,1,1,
5,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,-1,3,-1,4,-1,3,-1]],[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,4,-2]]],[[[2,
-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1,2,1,1,-1],[3,1,4,1],[5,1,3,1,5,-1,4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[
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1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,1,1,3,-1,4,-2]]],[[[2,-1,1,
1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,1,5,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,1,-1,2,-1,1,-1,2,1,3,
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1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,
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2,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,-2,1,1,3,1,4,-3,3,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,1,3,1,4,-2,
3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,-1]]],[[[2,
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1,1,-1,2,1,1,-1],[3,-1,4,1,3,1,4,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,
1],[5,1,6,1,5,-1,6,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1],[5,1,6,
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-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,1,4,-1,5,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,5,1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,1,1,3,-1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,4]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,3,3,-1,1,1,4,1]]],[[[2,1,1,1,2,
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1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,2,1,1],[4,1,5,2,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
1],[3,2],[3,1,1,1,2,-1,1,1,2,1,1,1],[4,1,5,1,4,-2,5,-1]],[[2,1,1,1,2,-1,1,1,2,
1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,5,1,6,1,3,1,4,
1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,-1]],[[2,-1,
1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,
1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,-2,1,1]],[[
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1,3,-2,4,1,1,1,3,-1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,
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2,1],[3,2],[1,1,2,-1,1,1,2,1,1,1,4,1],[5,1,4,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
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4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[3,-2,4,1,5,-3,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-2,4,-1,3,-2]]],[[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1,4,1,3,1,4,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,
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4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,4,1]],[[2,1,1,1,2,
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1,1,3,-2,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-1,1,1,2,-1,1,1,
2,1,1,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,
1],[3,2],[5,1,4,1,5,1,3,1,4,1,5,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,4,-1,3,1,1,1,4,-2]],[[
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1],[4,2,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[
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-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[3,1,1,1,5,1,4,2,5,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,
1],[4,2],[1,1,3,-1,5,-1,6,-1,5,1,6,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,3,-2,4,1,1,1,3,-1,5,-1,4,
-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-2,3,1,4,2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,
-1,5,1,4,-1,3,-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,
2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,1,4,1,3,-1,1,1],[5,
1,4,1,5,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[1,1,3,-1],[5,2,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,1,4,1,5,-2,4,-1]]],[[[2,
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1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,4,-1,3,-1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,
5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,
2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[5,2,4,-1,5,1,3,-2,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,
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5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,2,5,1]]],[[[2,
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-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]]],[[[2,-1,1,
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-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,1,4,2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[
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4,1,3,1,1,1,4,-1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,1,1,3,-2,4,-1]],[[2,
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1],[4,2,5,-3,3,-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,
2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-2,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,1,1,3,1,1,1,
4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[
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1],[4,1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,1,1,2,1,1,1,2,1,
3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,1,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[5,1,3,-2,4,1,5,-1,4,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,2,3,1]],[[
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1,2,-1,1,-1,2,1,1,1],[4,2,3,-1,4,1,3,-1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1,1,
1,3,-1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-2,3,-1,4,1,3,1]],[[2,-1,1,1,2,1,1,
1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,1,1,1],[3,-3]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,2,3,-1,4,1,3,
3]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,2,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-1,3,-1,4,2,5,-1]]],[[[2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,2,2,-1,1,-1,2,
-1,1,-1,2,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,1,4,-1,3,1,4,-1]]],[[[2,-1,1,
1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1,2,1,1,-1],[3,-1,4,1,3,-1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-3,3,-1]],[[2,
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1,1,-1,2,1,1,-1],[4,1,3,1],[4,1,5,-1,3,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,1,4,3,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,
1,1,3,-1,4,2,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-2,4,-1,3,2,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,2,1,1,3,-3]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[3,1,4,1,5,-2,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,-2,
4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,1,1,2,1,1,1],[
4,-2,3,2]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,2,-1,1,1,2,
1,1,1],[4,-2],[6,1,5,-2,6,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,
2,-1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,3,-2,5,1,4,1]],[[2,1,1,1,2,-1,1,1,2,
1,1,1,2,-1,1,1,2,1],[3,2],[3,1,1,1,2,-1,1,1,2,1,1,1],[4,-2,5,-2,4,1]]],[[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,-1,
4,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,
1],[3,1,4,1],[4,1,5,-1,4,1,5,1,3,2]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[2,-1,1,1,2,1,1,1,2,1],[3,1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1],[4,2,3,1]]],[[[
2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[5,-2,3,1,
4,1,5,1,4,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,
1,1],[3,2],[3,1,4,1],[4,1,5,1,6,-1,5,1,6,-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,2,1,1,3,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,1,1,1],[3,1,5,1,4,-1,5,1,4,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-2,4,2,3,
1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[
5,1,3,1,4,1,3,1,4,1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,
1,1,2,1,1,1],[3,2],[3,1,4,1],[4,1,6,1,5,1,4,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,
1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-2,4,-1,3,2,1,1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[1,1,3,-1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,2,4,-1,5,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[5,1,4,-3,3,-2,
5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,3,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,
1,5,1,3,-2,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,4,-1,3,
1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,
-3,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,5,-1,4,1,3,1,4,1]],[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[4,1,3,-1,4,1],[5,1,6,-1,5,1,6,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,
-1],[5,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[3,1,1,1],[4,2,3,-1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[3,1,5,2,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,1,4,2]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,
-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1,3,-2,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,1,3,1,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,-2,3,
-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,1,3,-1,4,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,-2,1,1,3,-1,4,2,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,
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1,1,3,-1,4,-1,3,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[
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3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,3,1,1,1,4,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-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,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[
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1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,5,-3,3,
-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,-2,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,2,3,-1,1,1,3,1,1,1]]],[[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[3,1,4,1],[5,1,6,-1,4,-1,5,-1,4,-1,6,-1]],[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,
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4,1,1,1,3,-1,4,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,3,-1,4,-1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
4,1,1,1,3,-1,4,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,1,3,1,4,-1]],[[
2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1],[5,1,4,1,6,-1,5,1,4,1,6,1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,-1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1,4,-3,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,1],[5,1,4,2,5,1,3,-1]],[[2,
-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1,2,1,1,-1],[3,-1],[3,1,4,1,5,1,4,1,3,1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,
1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,2,3,1,1,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,4,1],[5,1,4,1,3,1,1,1,5,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,-1]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
4,2,3,4,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[3,2,1,1],[4,1,5,2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,-2,5,1,3,-1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,
3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[4,1,1,1,3,-1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[1,1,3,1],[3,1,1,1],[1,1,4,-1,5,2,4,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,
1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1],[6,1,4,1,3,-1,4,1,5,-1,4,1,6,1,3,1,5,-1,6,1]]],[[[1,1,2,1,1,
1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,1,1,1],[3,2,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-2,3,-1,4,-2]]],[[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,1,1,1],[4,1,3,2,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-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,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,-1,1,1,3,2]]],[[[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,2,
2,-1,1,1,2,1,1,1,2,1,3,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,1,5,1,4,1,3,-1,
4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,-1,3,-1,4,-1,3,1,4,-1]],[[2,-1,1,1,2,1,
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-1],[4,1,3,1,4,1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,2,1,1,3,-3]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,
3,-1,4,1,1,1]]],[[[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,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,
-1,1,1,3,1,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,4,1,3,1,1,1,3,-2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
-1,4,-1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,-2,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,1,3,1,1,1,4,1]]],[[[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,-1,2,-1],[1,1,3,1],[3,1,4,
1],[4,1,5,2,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,
3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,1,1,2,1,1,1,2,1,3,-1]],[[2,-1,1,1,
2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,
2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,-3,3,1,1,1]]],[[[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-3]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,-2,3,1,4,-1]],[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[3,1,4,1,5,1,4,1,3,-1,4,1,5,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,1,1,1,3,-1,4,1,1,1,3,1]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,
1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
3,1],[3,1,1,1],[4,2,3,1,5,2,4,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,
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1,1,1],[1,1,3,1,4,-1],[5,1,4,-1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1],[5,1,4,-1,5,-1,4,-1]]],[[[2,
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3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
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1,1,2,-1,4,-1,3,1,4,-1,2,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[
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1,4,2,3,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,1,4,-1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,
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1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
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1,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[4,1,5,1],[6,1,5,1,
6,1,4,1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,-1,1,1,2,-1,1,1,
2,1,1,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,
1],[3,2,4,1],[3,1,4,1,5,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,2,3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
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-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,4,-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[1,1,3,1],[3,1,4,4,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-1],[4,1,5,-2]]],[[[2,-1,1,1,2,1,1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[4,1,3,1,4,-1,3,-1,4,-1,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,-1],[5,1,
3,-1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,-1,3,1,4,-2]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
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-1],[1,1,3,1],[3,-1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1,5,-1,4,1,3,-1,5,-1]],[[2,1,
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2],[3,1,4,1],[4,
1,6,1,5,1,4,1,5,1,6,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1,1,1,3,-1,1,1,3,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[4,2,3,1,1,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,3,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2],[5,2,3,1,1,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]]],[[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1,4,2,3,1]],[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1,2,1,1,-1],[3,2,2,-1,1,1,2,1,1,1,2,1,3,2]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,
-1],[4,1,3,1,4,-1,5,1,4,1,3,-1,4,1,5,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3]],[[2,-1,1,1,2,1,1,1,2,1],[2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,
3,-1,4,1],[5,1,3,1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,-2,3,-1,4,-1,3,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,3,3,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,1,-1,2,-1,1,-1,2,1,3,
2]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1,5,1,4,1,3,1,4,-1,5,1]],[[2,-1,
1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,
1,-1,2,1,1,-1],[3,-1],[5,1,4,1,3,1,4,1,5,1,4,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,3,-1,4,2]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,2,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1,1,1,3,-1,4,-1,3,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,-1,4,1,3,-1,4,
1,3,1,4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,1],[5,1,4,1,6,1,5,-1,6,
-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-3,3,1,4,1,5,-1]]],[[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,1,1,4,-1,3,
1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,
-2],[4,1,1,1,3,-2,1,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,
1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]]],[[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,1,4,
-1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,
1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,-3,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,1,3,
1,4,1,5,-2,4,-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,
2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-2,4,1,3,1,1,1,3,1,4,1]]],[[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,-2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,
5,1,4,1,3,-1,4,-1,5,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-3,3,1,4,1,5,
-1]]],[[[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,-1,2,-1],[3,
1,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,1,1,3,1,4,3]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-2]],[[2,-1,1,-1,2,-1,
1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,5,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[1,1,3,1],[1,1,4,-1,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,2,3,
1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[
3,1,1,1],[4,1,5,2,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,
4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,-1,4,1],[5,1,6,1,5,-1,6,-1]],[[2,
-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,-1]],[[2,-1,1,1,2,1,1,1,
2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,
-1],[3,-1],[3,1,4,1],[5,1,6,-1,4,-1,5,-1,4,-1,6,-1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,1,1]],[[
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1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,
2,1],[3,2],[4,1,3,1,1,1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,
1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2,3,1,1,1]],[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[
3,2,1,1,4,-1,1,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,-1,1,1,3,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,
2,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,
-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,2,
4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,1,4,-1,3,3,4,2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
1,1,3,-1,2,1,1,1,2,1,3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,5,
1,4,-1,3,1,4,-1,3,2,4,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,-1,1,1,3,-2]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,1,1,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[4,-2,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1],[4,2,3,-1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,4,-1,3,1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,1]],[[2,
-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,
4,-1],[5,1,4,-1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1],[5,1,6,2,4,-1,5,
-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,-1,5,1,4,1,3,-1,4,-1,5,1]]],[[[2,1,1,
1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,1,1,1,4,-1,1,1,3,-1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1],[4,1,1,1,3,-1,4,1,1,1,3,1]],[[2,-1,1,
-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1],[4,
2,3,1,5,2,4,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,3,1,1,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,4,3,1]]],[[[2,-1,1,
1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1,2,1,1,-1],[4,1,3,1,4,-2,3,1]],[[2,-1,1,1,2,1,1,1,2,1],[3,1,1,1,2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1],[4,1,3,-1,4,-1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1,1,
1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,-1,1,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,3,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,3,1,1,1,4,2,3,-1,4,1,5,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1,5,-1,4,1,3,-2,4,1,2,1,4,-1,3,1,5,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,3,1,4,1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,-1,1,1,4,
-2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1],[4,2,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[4,1,1,1,3,-1,4,1,3,1,4,1]]],[[[1,1,2,-1],[1,1,2,1,1,1,2,1,1,
1],[4,1,3,-1,2,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,4,-1,3,-2,5,
-1,3,-1,2,-1,5,1,4,-1,3,1,4,-1,2,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3,2,-1,1,1,2,1,1,1,2,1,3,1]],[[2,-1,
1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,
1,-1,2,1,1,-1],[3,1,4,-1,3,-1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,2,
4,1,2,1,3,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,
3,-2,5,-1,6,-1,4,-1,1,1,3,-1,5,-1,6,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,3,2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1]],[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,1,1,1],[3,2,4,2]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,-1,3,-1]],[[
2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1,2,1,1,-1],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-3]],[[2,-1,1,
1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1,2,1,1,-1],[3,1,4,-2,3,1,4,1,3,1,4,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,
-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[3,1,4,
-1,5,-1,4,1,3,1,4,-1,5,-1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,1,3,1,4,1,3,-1,4,1,3,-1,
4,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,-1,5,-1,4,-1,3,1,4,
-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,
1],[1,1,3,1,4,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,-2],[4,1,1,1,3,-2,1,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1,1,1,3,-1]],[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,4,
1],[5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,2,1,1,3,-2]],[[2,1,1,
1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
1,1,4,-2,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,1,1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1,4,-2,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2],[5,
1,4,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,
-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,
-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1]],[[
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1],[4,2,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,1,3,2,4,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
1,1,1,3,2,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,2,1,1,3,-3]]],[[[2,-1,1,-1,
2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,
-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
1],[3,1,4,2,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]]],[[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]],[[2,-1,1,-1,2,-1,1,1,2,
-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,
-2]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,
1,-1],[3,-3]],[[2,-1,1,1,2,1,1,1,2,1],[3,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,
1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,1,3,-1,4,-2]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,1],[1,1,4,-1,3,1,1,1,3,-1,4,
1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,3,
-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1],[4,2,3,-1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,4,1,3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,
1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,
2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-2]]],[[[2,-1,
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,-1,2,1,1,-1],[3,1,2,
-1,1,1,2,1,1,1,2,1,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,
2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[4,2,3,-1,4,1,3,1,4,1,3,-1]],[[
2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,-1,4,1,3,1,4,-1,5,1]]],[[[2,-1,1,-1,2,
-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[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,-1,2,-1],[3,1,1,1,3,-2]],[[2,-1,
1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1,3,
1]]],[[[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,-1,2,-1],[
3,1,1,1,3,1,1,1,3,-1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,1,4,1],[4,1,5,2,4,1]]],[[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,2],[
5,2,3,-1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,-1,4,1,3,-1,4,1,3,-1,4,-1]],[[2,-1,1,1,2,
1,1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,
1,1,-1],[3,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1,3,-2]],[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,1,1,1],[3,1,4,-1,3,-1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-1,4,1,3,-1,4,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,1,1,1,2,-1,1,-1,2,1,1,1],[3,2,4,2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[4,1,3,1,4,-1,3,1,
4,-1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,1,2,1,1,1,2,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,
2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,4,1]]],[[[1,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,
-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[3,2],[4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,1,1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,-1,1,1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,
1,2,-1,1,1,2,1],[3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,
1,2,-1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,
1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[4,2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1,1,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,
2],[1,1,3,1,4,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[1,1,3,-3,1,1,3,2]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[3,
-4]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1],[1,1,2,-1,1,1,2,1,1,1],[3,2,4,1,
3,1,4,1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[1,
1,3,-2]],[[2,-1,1,-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,
3,1],[3,1,1,1,3,1,4,2]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1],[3,1,1,1,3,1]],[[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,-1,2,-1],[3,1,1,1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,
1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,1,3,1,
1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[
3,-1,1,1,3,1,1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1],[3,1,1,1,3,-1,1,1,3,-1]]],[[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,3,-2,1,1,3,-2]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-1,1,1,4,1]]],[[[1,1,2,-1,1,-1,2,1,1,
-1,2,1,1,-1,2,2,1,-1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2],[1,1,3,1,4,2]],[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,-2,
3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,-1,4,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,
2,-1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,
2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[4,1,5,-1,1,1,3,
-1,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1],[4,1,2,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,2,1,1,2,-1,3,1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1],[6,1,5,-1,4,2,3,-1,6,1,5,1,4,-1,3,1,4,-1]]],[[[1,1]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,3]],[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,-1,1,1,3,1]]],[[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1],[3,-2]],[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,
-1,2,1,1,-1,2,1,1,-1,2,1,1,-1,2,1]],[[2,-1,1,1,2,1,1,1,2,1],[2,-1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,4,-2,3,1]]],[[[
2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1],[3,-2]],[[1,1,2,
1,1,1,2,1,1,-1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,1,4,-2,5,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,4,-1,3,1,4,-1,2,-1,4,1,6,1,3,1,5,-1,6,
1]]],[[[1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,2,1,-1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[4,-2,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[3,3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1]]],[[[1,1,2,1,
1,1,2,1,1,-1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,1,1,1,2,1]],[[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,-1,2,-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],[3,-2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,2,-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,-1,2,-1,3,-1]]],[[[2,-1,1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,
1,-1,2,-1,1,-1,2,1,3,1]],[[2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,-1,2,1,
1,-1,2,1,1,-1,2,1,1,-1],[3,-2,2,-1,1,-1,2,-1,1,-1,2,1,3,-1]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1,1,-1,2,-1,1,1,2,1,
1,-1,2,-1]],[[1,-1,2,-1,1,1,2,1,1,-1,2,-1,1,-1,2,-1,1,1,2,2,1,-1,2,-1,1,-1,2,
-1,1,-1,2,-1,1,-1]]],[[[1,1]],[[2,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,1,
2,-1,1,-1,2,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,1,1,2,-1,1,1,2,
-1,1,1,2,1],[3,1,1,1],[3,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-1,1,1,2,-2,
1,1,2,-1,1,1,2,-1,1,1,2,1],[3,2]]],[[[2,-1,1,-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],[3,1,2,-1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,2,-1,
3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,1,1,1,2,-1,1,-1,2,1,1,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
-1,1,1,2,-2,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,
2,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,1,1,3,
-1]],[[1,1,2,1],[2,1,1,1,2,1,3,2],[4,1,2,1,1,1,4,1]]],[[[1,1,2,1],[2,1,3,2],[
4,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,
1,4,-1,3,1,4,-1,2,-1]]],[[[2,1,1,1],[1,1,2,1],[2,2],[3,1,2,1],[5,1,4,1,6,2,5,
-1,3,-1,1,-1,4,-1,6,-1],[1,1,2,1,1,1,3,1,2,-2,3,-1],[7,-1,8,4,7,1]],[[2,1,1,
1],[1,1,2,1],[2,2],[3,1,5,1,4,1,1,1,3,1,4,-1,5,-1,3,-1,1,-1]]],[[[2,1,1,1],[1,
1,2,1,1,1,3,1,2,-2,3,-1],[2,1,3,1,2,2,3,-1,2,-1,1,-1],[5,-1,4,4,5,1]],[[2,1,1,
1],[2,2],[4,1,1,1,3,1,2,-1,1,-1,4,-1,3,-1],[5,2]]],[[[1,1]],[[2,1]]]]);
ACLT( "M24",
"sortperm",( 7, 12, 9, 8, 14, 13, 15, 10)( 22, 24, 23)
( 27, 28, 32, 29, 31)( 30, 54, 69, 74, 49, 55, 61, 68, 66, 43,
53, 67, 56, 63, 44, 50, 59, 73, 52, 62, 45, 65, 38, 37, 40,
48, 58, 71, 72, 46, 36, 34, 33)( 39, 41, 51, 75, 70, 60, 42,
47, 57, 64)( 79, 80)( 83, 85, 87, 88, 94, 91, 89, 95, 92, 90,
86)( 96, 97, 99, 102)( 98, 104, 100)( 103, 105)( 112, 116, 167, 148, 198,
160, 184, 233, 228, 199, 194, 207, 234, 225, 211, 140, 122, 153, 219, 222,
166, 232, 223, 210, 172, 216, 180, 187, 168, 155, 136, 135, 131, 186, 221,
202, 149, 197, 188, 203, 146, 175, 139, 119, 126, 115, 113, 132, 127, 158,
147, 164, 189, 200, 217, 193, 181, 230, 209, 141, 121, 125, 169, 190, 229,
224, 220, 218, 205, 174, 165, 214, 170, 154, 137, 176, 171, 161, 177, 231,
201, 236, 227, 204, 178, 143, 124, 118, 117, 114)( 120, 185, 191, 163, 206,
215, 157, 150, 173, 235, 226, 208, 156, 159, 144, 123, 134, 192, 145, 152,
196, 151, 195, 213, 138)( 128, 129, 133, 130)( 142, 162, 183, 212)
( 239, 240)( 248, 249)( 255, 267, 287, 266, 276, 280, 283, 275, 261, 259, 260,
257, 262, 272, 282, 277, 279, 258, 256, 278)( 263, 274, 286, 265, 293, 288,
264, 284, 269, 300, 291, 270, 302, 295, 297, 294, 289, 268, 301, 292, 281,
273, 285, 299, 296, 298, 290, 271)( 306, 309, 308, 317, 494, 469, 480, 509,
487, 512, 486, 453, 510, 502, 446, 443, 457, 436, 357, 382, 348, 338, 314,
322, 326, 415, 385, 408, 366, 516, 515, 499, 412, 376, 368, 489, 421, 351,
369, 312, 321, 367, 445, 442, 391, 416, 349, 339, 341, 345, 493, 424, 447,
462, 498, 452, 433, 373, 482, 477, 455, 488, 423, 388, 407, 481, 451, 435,
386, 347, 343, 413, 467, 464, 472, 456, 393, 439, 476, 410, 372, 361, 389,
417, 360, 344, 495, 511, 508, 496, 504, 444, 460, 431, 356, 381, 323, 331,
437, 350, 404, 336, 315, 414, 374, 329, 342, 346, 313, 325, 337, 318, 324,
395, 319, 335, 311, 307)( 310, 396, 332, 403, 471, 449, 501, 470, 514, 490,
402, 463, 497, 411, 352, 370, 383, 354, 484, 478, 450, 430, 379, 340, 353,
387, 355, 364, 500, 454, 394, 406, 334, 418, 422, 375, 371, 316, 397, 333,
400, 461, 428, 474, 409, 378, 320, 327)( 328, 365, 507, 492, 420, 359, 438,
425, 448, 513, 505, 479, 503, 392, 468, 459, 426, 485, 475, 398, 330, 363,
465, 491, 401, 441, 390, 362, 440, 483, 473, 399, 429, 377, 506, 427, 466,
458, 434, 384, 419, 405, 432, 358, 380)( 519, 521)( 525, 526)( 535, 536)
( 539, 545, 565, 559, 560, 551, 540)( 541, 544, 543, 542, 594, 574, 577, 597,
584, 589, 599, 572, 588, 593, 576, 571, 561, 568, 592, 575, 578, 585, 546,
548, 557, 580, 569, 566, 587, 570, 598, 591, 600, 590, 573, 583, 562, 596,
581, 549, 552, 555, 579, 564, 554, 550)( 547, 563, 595, 582, 558)
( 553, 586, 556)( 604, 605)( 612, 615, 613)( 622, 630, 642, 624, 628, 674,
649, 758, 673, 646, 679, 726, 786, 804, 740, 711, 756, 697, 696, 695, 694,
688, 716, 773, 812, 797, 767, 750, 725, 787, 802, 748, 692, 703, 664, 657,
635, 686, 705, 778, 784, 751, 689, 706, 799, 747, 693, 790, 771, 735, 685,
721, 761, 729, 785, 805, 770, 682, 702, 659, 633, 678, 655, 634, 675, 652,
681, 713, 754, 719, 809, 793, 794, 814, 792, 781, 769, 768, 728, 789, 739,
676, 651, 662, 644, 650, 639, 742, 710, 663, 645, 629)( 623, 632, 661, 641,
627, 669, 698, 717, 737, 672, 653, 636, 677, 654, 708, 816, 795, 766, 671,
668, 656, 731, 807, 803, 822, 798, 763, 821, 782, 738, 684, 647)
( 625, 665, 700, 744, 707, 800, 746, 791, 732, 815, 743, 704, 801, 749, 757,
667, 724, 759, 727, 806, 817, 780, 753, 722, 774, 819, 818, 826, 824, 741,
715, 658, 631, 638, 666, 720, 775, 810, 783, 752, 690, 701, 637, 687, 712,
772, 734, 660, 640, 626, 670, 691, 699, 718, 811, 796, 765, 680, 709, 779,
788, 813, 808, 825, 823, 820, 736, 683, 648, 643)( 714, 755, 723, 762, 745)
( 730, 777, 760, 764)( 828, 831, 836, 830, 833, 834, 838, 835, 832, 840)
( 829, 839, 837, 841)( 846, 847, 867, 860, 849, 856, 905, 900, 908, 887, 881,
873, 883, 869, 884, 891, 886, 904, 903, 893, 902, 882, 868, 861, 855, 871,
899, 879, 866, 859, 852, 858, 907, 889, 911, 897, 895, 915, 912, 876, 870,
885, 894, 913, 909, 898, 877, 875, 862, 872, 878, 874, 863, 848)
( 850, 853, 857, 906, 880, 865, 851)( 854, 864)( 890, 892, 901)
( 896, 914, 910)( 916, 917)( 924, 925)( 927, 930)( 932, 933)( 934, 944,1006,
994, 976,1019, 974,1023,1005, 992, 984, 946,1013,1003, 996, 975,1016,1002,
995, 979, 965, 954,1020, 972, 964, 957, 986, 955, 962, 987, 947, 943,1015,
991, 973, 966, 952, 941, 948, 988, 958,1000, 980, 967, 953,1024,1026,1028,
1007, 999, 977,1021,1025,1027,1008, 993, 971,1012,1009,1001,1034,1038,1042,
1029,1037,1039,1049,1051,1035,1048,1046,1045,1050,1032,1031,1018, 998, 983,
951, 940, 937)( 935, 939)( 942,1010, 997, 985, 945, 949)( 950,1004,1033,
1041,1040,1030,1017, 989, 982)( 956, 963)( 959, 981, 968)( 960, 961)
( 969, 970)( 978,1011,1022,1014, 990)(1044,1047)(1057,1058,1059,1060,1061)
(1063,1064,1065)(1068,1069,1072,1071,1070)(1080,1081)(1082,1085,1136,1148,
1156,1142,1151,1144,1139,1132,1135,1155,1145,1129,1094,1110,1102,1122,1095,
1111,1109,1092,1125,1105,1090,1088)(1084,1086,1138,1134,1153,1143,1137,1130,
1118,1113,1093,1124,1117,1099,1097,1126,1104,1106,1120,1150,1152,1140,1128,
1103,1114,1121,1101,1098,1146,1131,1108,1119,1127,1116,1115,1123,1091,1100,
1096,1112,1107,1089,1087)(1133,1149,1147,1154,1141)(1157,1158)(1159,1160)
(1164,1168,1170,1169,1166,1165)(1174,1175)(1176,1177)(1178,1193,1182,1198,
1194,1183,1195)(1179,1187,1201,1191,1189,1202,1188,1205,1207,1184,1192)
(1180,1185,1199,1186,1206,1203)(1181,1197,1200,1196,1190,1204)(1208,1213,1217,
1209,1215,1219,1210,1212,1216,1211,1214,1218)(1221,1226,1223,1232,1229,1225,
1222,1231,1230,1224)(1239,1243,1242,1244,1241)(1250,1254,1252)(1256,1257)
(1258,1259)(1260,1287,1264,1280,1281,1273,1286,1299,1267,1279,1311,1308,1314,
1312,1310,1306,1303,1302,1307,1301)(1261,1272,1262,1298,1290,1275,1283,1289,
1282,1297,1278,1296,1284,1288,1277,1268,1266,1300,1293,1285,1274,1269,1292,
1271,1291,1295,1294,1270,1265)(1263,1276)(1309,1313)(1317,1318)
(1322,1323,1325)(1326,1327,1328,1331,1334,1335)(1329,1330)(1332,1333,1336)
(1341,1344,1346,1342,1343,1345)(1353,1354,1357)(1359,1362,1361)(1360,1363)
(1365,1366)(1367,1372,1375,1376,1370,1374,1369,1368,1371,1373)(1377,1380,1379)
(1381,1384,1382,1383,1386)(1393,1394)(1399,1404,1401,1405,1403,1402,1400)
(1407,1408)(1413,1414)(1416,1417,1418)(1421,1423,1422,1424,1426)
(1427,1428,1434,1429,1439,1431)(1430,1433,1435,1432,1438,1436,1440,1437)
(1441,1442,1443)(1446,1447)(1451,1452,1453)(1460,1461,1462,1463,1465,1464)
(1468,1470,1469)(1473,1474)(1477,1478)(1481,1482,1488,1487)(1484,1489)
(1485,1486)(1491,1492)(1494,1495)(1497,1498)(1501,1503,1502));
ACLT( "M24",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,3,2,4,-1,5,1],[6,3]],[[1,1,2,1],[2,
-1],[3,2,2,1,1,1,2,1,1,1],[5,1,4,1,5,1,4,
1]]],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,
-1,4,1,5,-2,4,1,3,-2],[6,3],[7,3]],[[1,1,2,1],[2,-1],[3,2,2,1,1,1,2,1,1,1],[5,
1,4,1,5,1,4,1]]],,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,1,1,2,-1,4,-1,1,1,3,-1],[5,6]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,
-2]]],,[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-2,4,1,3,-2],[6,3],[7,
3]],[[2,1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,2,1,1,2,-1,1,1,2,-1],[4,7]],[[1,1,2,
1],[2,1,1,1,3,-2,2,1,1,1]]]]);
#############################################################################
#############################################################################
##
#E