GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmco3mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmco3mx.tom,v 4.4 2003/12/16 17:29:43 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St. Andrews, Scotland
##
## This file contains tables of marks of some maximal subgroups of the
## group "Co3".
##
#H tomlib history
#H --------------
#H $Log: tmco3mx.tom,v $
#H Revision 4.4 2003/12/16 17:29:43 gap
#H further problems with derived subgroups and representatives
#H TB
#H
#H Revision 4.3 2001/07/05 06:58:40 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.3 of tomlib coincides with Rev. 4.2 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmco3mx.tom,v
#H Working file: tmco3mx.tom
#H head: 4.2
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.2.0.10
#H GAP4R2PRE2: 4.2.0.8
#H GAP4R2PRE1: 4.2.0.6
#H GAP4R1: 4.2.0.4
#H GAP4B5: 4.2.0.2
#H dec16-98b: 4.2
#H GAP4b4: 4.1.2.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1.2.1
#H keyword substitution: kv
#H total revisions: 3; selected revisions: 3
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1998/07/16 14:15:36; author: ahulpke; state: Exp;
#H lines: +3598 -3679
#H Merge.
#H ----------------------------
#H revision 4.1
#H date: 1998/03/27 15:14:22; author: gap; state: Exp;
#H branches: 4.1.2;
#H added table of marks of "Co3", and tables of some maximal subgoups
#H T.Merkwitz
#H ----------------------------
#H revision 4.1.2.1
#H date: 1998/05/18 10:10:55; author: gap; state: Exp; lines: +3598 -3679
#H fixed bug in th tables of marks of 'Co3' and some of its maximal subgroups
#H T.Merkwitz
#H ==========================================================================
#H
Revision.tmco3mx_tom :=
"@(#)$Id: tmco3mx.tom,v 4.4 2003/12/16 17:29:43 gap Exp $";
SetActualLibFileName("tmco3mx");
LIBTOM( "2^4`A8",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,9],[1,2,3,10],[1,4,
11],[1,2,12],[1,2,4,13],[1,2,3,14],[1,4,15],[1,3,16],[1,4,17],[1,3,4,18],[1,
19],[1,3,6,20],[1,3,6,21],[1,2,6,22],[1,4,5,23],[1,4,6,24],[1,3,6,25],[1,4,5,
26],[1,27],[1,2,7,28],[1,2,9,29],[1,2,4,7,13,30],[1,2,8,9,31],[1,2,7,8,9,32],[
1,2,7,9,33],[1,2,3,7,8,10,34],[1,2,9,35],[1,2,3,7,10,14,36],[1,2,3,9,10,37],[
1,2,3,8,10,38],[1,2,7,12,39],[1,2,12,40],[1,2,4,11,13,41],[1,2,3,7,14,42],[1,
2,4,13,15,43],[1,2,12,44],[1,2,3,10,16,45],[1,3,16,46],[1,2,3,8,9,10,47],[1,2,
3,8,14,48],[1,2,9,49],[1,2,3,7,9,10,50],[1,2,4,9,12,13,51],[1,2,3,9,10,52],[1,
2,9,53],[1,2,9,12,54],[1,2,4,8,12,13,55],[1,2,3,9,14,56],[1,2,3,9,10,57],[1,2,
4,9,13,58],[1,2,3,14,16,59],[1,2,4,7,12,13,60],[1,2,4,12,13,61],[1,2,3,9,12,
14,62],[1,2,9,63],[1,2,4,12,13,64],[1,2,3,12,14,65],[1,2,3,9,14,66],[1,2,3,8,
12,14,67],[1,2,3,4,8,13,14,68],[1,2,3,4,13,14,18,69],[1,2,3,4,9,13,14,70],[1,
2,3,4,10,13,14,18,71],[1,2,12,72],[1,2,3,4,12,13,14,73],[1,2,4,13,17,74],[1,2,
3,10,12,14,75],[1,4,11,15,17,76],[1,3,4,15,17,18,77],[1,5,6,78],[1,4,19,79],[
1,2,6,7,80],[1,4,6,11,81],[1,2,5,7,82],[1,2,6,7,22,83],[1,3,6,16,84],[1,4,6,
15,85],[1,4,5,11,26,86],[1,4,6,11,87],[1,4,5,11,88],[1,2,4,6,13,22,24,89],[1,
2,6,12,22,90],[1,2,3,6,10,22,25,91],[1,2,3,6,14,20,21,22,92],[1,2,3,6,14,21,
22,93],[1,2,6,8,22,94],[1,3,4,6,18,20,24,25,95],[1,4,5,17,26,96],[1,3,4,6,18,
21,24,25,97],[1,4,5,15,23,26,98],[1,2,27,99],[1,5,19,100],[1,2,7,28,101],[1,2,
4,7,11,13,30,41,102],[1,2,7,9,33,103],[1,2,3,7,10,14,28,36,42,104],[1,2,7,9,
33,35,105],[1,2,7,8,9,29,31,32,106],[1,2,7,8,9,28,32,33,107],[1,2,3,10,16,45,
46,108],[1,2,7,12,39,44,109],[1,2,7,12,39,110],[1,2,3,7,10,14,16,36,45,59,
111],[1,2,4,7,9,13,30,33,58,112],[1,2,7,8,9,32,33,113],[1,2,3,7,8,9,10,14,32,
36,37,38,114],[1,2,7,9,12,33,39,54,115],[1,2,3,7,9,10,14,33,36,57,116],[1,2,3,
8,9,10,31,35,47,117],[1,2,3,8,9,10,29,47,57,118],[1,2,3,9,10,29,35,52,119],[1,
2,3,8,9,10,35,37,47,120],[1,2,3,7,9,10,14,33,36,66,121],[1,2,3,4,7,10,13,14,
18,30,36,69,71,122],[1,2,7,9,33,49,123],[1,2,3,7,8,9,10,14,32,36,48,56,124],[
1,2,4,7,12,13,30,39,125],[1,2,3,7,8,9,10,14,28,32,34,36,50,126],[1,2,3,7,8,9,
10,14,32,33,36,47,52,127],[1,2,7,8,9,12,32,39,128],[1,2,4,7,9,13,30,33,129],[
1,2,3,7,9,10,14,28,33,36,50,130],[1,2,7,12,28,39,131],[1,2,7,8,9,12,32,39,
132],[1,2,3,7,10,12,14,36,39,65,133],[1,2,4,7,8,9,12,13,30,32,39,51,55,134],[
1,2,7,9,12,33,39,135],[1,2,3,7,9,10,29,33,37,50,52,136],[1,2,7,9,33,53,137],[
1,2,3,7,8,9,10,31,33,34,37,47,138],[1,2,4,7,12,13,28,30,39,60,139],[1,2,4,8,
12,13,40,55,61,140],[1,2,4,8,12,13,15,43,55,64,141],[1,2,3,8,9,10,16,45,47,52,
142],[1,2,3,9,10,12,37,49,54,143],[1,2,3,4,8,9,12,13,14,31,51,56,67,68,144],[
1,2,3,8,9,10,31,38,47,52,57,145],[1,2,3,4,7,8,9,10,13,14,30,32,36,68,70,146],[
1,2,3,7,10,12,14,36,39,75,147],[1,2,8,9,12,31,53,54,148],[1,2,7,8,9,32,63,
149],[1,2,3,7,10,12,14,36,39,150],[1,2,4,7,8,9,12,13,32,54,55,58,60,151],[1,2,
4,7,9,12,13,33,51,54,58,60,152],[1,2,3,9,10,12,37,53,54,153],[1,2,3,7,8,9,10,
12,14,32,36,39,62,67,154],[1,2,3,4,7,10,12,13,14,30,36,39,73,155],[1,2,7,8,9,
32,49,53,156],[1,2,3,7,8,9,10,31,32,34,38,47,50,52,157],[1,2,3,4,9,10,13,37,
53,58,158],[1,2,7,9,33,63,159],[1,2,3,8,9,10,16,37,38,45,47,57,160],[1,2,3,7,
9,10,12,14,33,36,39,161],[1,2,3,7,8,9,14,32,42,48,66,162],[1,2,3,9,10,35,37,
52,57,163],[1,2,9,12,29,49,54,164],[1,2,4,9,12,13,49,51,165],[1,2,3,4,9,12,13,
14,29,51,56,62,70,166],[1,2,4,9,12,13,15,43,51,58,61,167],[1,2,3,4,9,10,13,37,
49,58,168],[1,2,3,9,10,16,37,45,52,57,169],[1,2,4,9,13,29,53,58,170],[1,2,7,8,
9,12,32,33,39,171],[1,2,7,9,33,63,172],[1,2,3,7,9,10,33,35,50,52,57,173],[1,2,
3,7,9,14,33,42,56,66,174],[1,2,3,7,9,10,12,14,33,36,39,175],[1,2,4,9,12,13,40,
51,54,64,176],[1,2,7,9,33,49,53,177],[1,2,4,8,9,13,31,49,58,178],[1,2,4,9,12,
13,51,53,179],[1,2,3,7,8,9,10,32,35,47,50,57,180],[1,2,3,9,10,12,54,57,63,
181],[1,2,3,9,10,49,52,63,182],[1,2,3,8,9,10,12,14,47,54,66,67,75,183],[1,2,3,
7,8,9,10,14,16,34,36,38,45,47,50,57,184],[1,2,3,7,9,10,14,16,36,37,45,50,52,
57,185],[1,2,3,4,9,13,14,53,56,58,186],[1,2,4,8,12,13,55,72,187],[1,2,3,9,10,
12,14,52,54,62,66,75,188],[1,2,3,4,8,10,12,13,14,18,38,48,55,71,75,189],[1,2,
3,4,8,11,12,13,14,18,41,55,68,69,73,190],[1,2,3,9,12,14,49,54,56,191],[1,2,4,
9,12,13,17,51,74,192],[1,2,3,4,9,12,13,14,44,51,62,65,73,193],[1,2,4,9,13,35,
58,63,194],[1,2,4,9,12,13,49,51,53,195],[1,2,3,9,10,14,37,63,66,196],[1,2,3,4,
9,13,14,49,56,58,197],[1,2,3,9,14,35,53,66,198],[1,2,4,9,12,13,51,54,58,61,64,
199],[1,2,3,4,9,10,13,57,58,63,200],[1,2,3,4,8,9,12,13,14,31,48,55,62,67,68,
70,201],[1,2,3,4,9,10,12,13,14,18,37,51,56,71,75,202],[1,2,4,7,13,17,30,74,
203],[1,2,9,12,35,54,63,204],[1,2,3,9,12,14,53,54,56,205],[1,2,3,8,9,10,47,49,
63,206],[1,2,3,9,14,35,49,66,207],[1,2,4,7,12,13,15,30,43,60,61,64,208],[1,2,
3,9,10,52,53,63,209],[1,2,3,4,8,9,10,13,14,18,47,58,66,68,71,210],[1,2,3,9,14,
29,63,66,211],[1,2,3,4,8,12,13,14,44,55,65,67,73,212],[1,2,3,9,10,14,37,63,66,
213],[1,2,3,4,9,10,13,14,18,52,58,66,70,71,214],[1,2,4,9,12,13,51,72,215],[1,
2,7,12,39,72,216],[1,2,3,8,9,14,31,63,66,217],[1,2,3,4,9,11,12,13,14,18,41,51,
69,70,73,218],[1,2,3,9,10,14,49,57,66,219],[1,2,4,7,12,13,39,40,60,61,64,
220],[1,2,4,8,12,13,17,55,74,221],[1,2,3,8,9,10,47,53,63,222],[1,2,3,9,10,14,
53,57,66,223],[1,2,4,12,13,44,61,72,224],[1,2,4,11,13,15,17,41,43,74,76,225],[
1,2,3,4,7,8,10,12,13,14,18,34,42,60,67,68,71,75,226],[1,2,3,4,12,13,14,61,65,
72,227],[1,2,3,12,14,40,65,72,228],[1,2,3,4,12,13,14,17,18,64,69,74,229],[1,2,
3,4,7,9,10,12,13,14,18,42,50,60,62,70,71,75,230],[1,2,3,4,13,14,15,17,18,43,
69,74,77,231],[1,2,3,4,9,12,13,14,16,18,56,59,62,65,69,70,73,232],[1,2,4,11,
12,13,17,41,64,74,233],[1,2,3,4,8,12,13,14,16,18,48,59,65,67,68,69,73,234],[1,
2,12,40,44,72,235],[1,4,5,6,23,24,78,236],[1,3,5,6,20,25,78,237],[1,4,5,6,23,
26,78,238],[1,4,17,19,79,239],[1,6,27,240],[1,2,3,6,7,8,10,20,34,80,241],[1,2,
6,9,22,35,242],[1,2,6,7,22,28,80,243],[1,2,3,6,7,9,10,21,50,80,244],[1,2,6,9,
22,29,245],[1,2,3,6,7,14,20,21,22,42,83,92,93,246],[1,2,3,6,10,16,22,45,84,
247],[1,2,3,6,7,14,25,42,80,248],[1,2,4,6,7,12,13,24,60,80,249],[1,2,6,12,22,
44,250],[1,2,4,5,7,13,26,30,82,251],[1,2,6,12,22,40,252],[1,2,4,6,11,13,22,41,
81,253],[1,2,4,6,13,15,22,43,85,254],[1,3,6,16,25,46,84,255],[1,2,3,6,10,12,
14,21,22,25,75,90,91,93,256],[1,2,3,6,7,8,10,22,25,34,83,91,94,257],[1,2,3,4,
6,10,13,14,18,20,21,22,24,25,71,89,91,92,95,97,258],[1,4,6,11,15,17,24,76,85,
259],[1,2,4,6,7,12,13,22,24,60,83,89,90,260],[1,2,3,6,14,16,22,59,84,261],[1,
4,6,11,15,17,24,76,81,262],[1,2,4,5,7,12,13,23,60,82,263],[1,3,4,6,15,17,18,
21,77,85,264],[1,2,3,4,6,8,13,14,21,22,24,68,89,93,94,265],[1,2,3,6,8,12,14,
20,21,22,67,90,92,94,266],[1,4,5,11,15,17,23,26,76,86,96,98,267],[1,4,5,11,15,
17,23,76,88,268],[1,4,6,11,15,17,24,76,87,269],[1,4,5,19,26,79,100,270],[1,2,
3,7,8,9,10,31,33,34,35,37,47,105,117,120,138,271],[1,2,7,8,9,28,32,33,103,107,
113,272],[1,2,3,7,8,9,10,14,28,32,33,34,36,42,50,101,104,107,126,130,273],[1,
2,4,7,9,11,13,30,33,41,58,102,112,129,274],[1,2,4,7,12,13,28,30,39,60,101,131,
139,275],[1,2,3,7,9,10,14,28,33,36,50,66,103,121,130,276],[1,2,4,7,8,9,12,13,
30,32,39,51,55,110,132,134,277],[1,2,4,7,11,12,13,28,30,39,41,60,102,125,139,
278],[1,2,3,7,9,14,33,42,56,66,103,174,279],[1,2,7,8,9,12,28,32,33,39,107,128,
131,135,280],[1,2,7,8,9,12,32,33,35,39,54,105,113,115,171,281],[1,2,3,7,9,10,
29,33,35,37,50,52,57,105,119,136,163,173,282],[1,2,3,7,8,9,10,14,28,32,33,35,
36,47,50,52,57,105,107,116,127,130,173,180,283],[1,2,4,7,9,13,30,33,35,58,103,
105,112,129,284],[1,2,3,7,8,9,10,14,28,29,31,32,33,34,36,37,38,47,50,52,106,
107,114,126,127,136,138,157,285],[1,2,3,7,8,9,10,14,28,32,33,36,42,48,56,66,
104,107,121,124,162,174,286],[1,2,7,9,33,35,49,105,123,287],[1,2,3,4,7,8,9,10,
13,14,30,32,33,36,57,58,68,70,112,113,116,146,288],[1,2,7,9,33,35,53,105,137,
289],[1,2,3,7,9,10,12,14,33,36,39,54,57,103,115,116,175,290],[1,2,4,7,8,9,12,
13,28,30,32,33,39,51,54,55,58,60,107,112,115,134,139,151,152,291],[1,2,3,4,7,
10,12,13,14,30,36,39,73,75,110,147,155,292],[1,2,3,7,8,9,10,29,31,32,34,35,38,
47,50,52,57,106,117,118,119,145,157,180,293],[1,2,4,7,12,13,15,28,30,39,40,43,
60,61,64,139,208,220,294],[1,2,3,7,9,10,14,16,28,29,33,35,36,37,45,50,52,57,
130,136,173,185,295],[1,2,3,4,7,8,9,10,13,30,31,33,34,37,47,49,58,112,123,138,
168,178,296],[1,2,3,7,9,10,14,33,36,49,53,57,116,123,137,297],[1,2,3,7,8,9,10,
31,33,34,37,47,49,103,123,138,298],[1,2,4,7,9,13,30,33,58,63,112,172,299],[1,
2,3,7,8,9,10,12,14,32,33,36,39,47,52,62,67,113,127,132,135,154,300],[1,2,3,4,
7,9,10,12,13,14,18,28,30,33,36,39,50,60,69,71,122,129,130,139,161,301],[1,2,3,
4,7,8,9,10,11,12,13,14,18,30,32,36,39,41,51,55,68,69,70,71,73,102,122,134,146,
155,190,218,302],[1,2,3,4,7,8,9,10,13,14,18,30,32,33,36,47,52,58,66,68,69,70,
71,112,121,122,127,146,210,214,303],[1,2,3,7,9,10,12,14,33,35,36,39,66,105,
121,135,161,175,304],[1,2,3,4,7,10,12,13,14,28,30,36,39,42,60,73,104,131,139,
150,155,305],[1,2,3,7,8,9,10,14,16,28,32,33,34,36,37,38,42,45,47,50,52,57,59,
104,111,114,116,126,127,130,184,185,306],[1,2,3,4,7,9,10,13,29,30,33,37,50,52,
53,58,112,136,137,158,170,307],[1,2,3,4,7,9,10,12,13,14,18,30,33,36,39,58,69,
71,73,112,122,125,155,175,308],[1,2,3,7,8,9,10,12,14,32,33,36,39,47,52,54,62,
66,67,75,115,121,127,147,154,183,188,309],[1,2,3,7,8,9,10,29,32,33,37,49,50,
52,113,123,136,310],[1,2,7,8,9,28,32,33,63,107,149,159,172,311],[1,2,3,7,8,9,
10,12,14,32,33,36,37,38,39,62,67,113,114,128,154,161,312],[1,2,7,9,12,33,39,
54,63,115,172,313],[1,2,3,7,9,10,14,33,36,57,63,116,159,314],[1,2,4,7,9,12,13,
33,39,40,51,54,58,60,61,64,115,152,176,199,220,315],[1,2,3,7,8,9,14,32,33,42,
48,56,66,113,162,174,316],[1,2,7,8,9,12,32,33,39,44,54,109,115,128,132,171,
317],[1,2,3,7,8,9,10,12,14,32,33,36,39,47,52,103,127,135,161,171,318],[1,2,7,
8,9,12,29,31,32,33,39,106,113,128,132,171,319],[1,2,3,4,7,8,9,10,12,13,14,18,
30,32,36,37,38,39,48,51,55,56,69,71,75,114,122,124,134,147,189,202,320],[1,2,
3,4,7,8,9,10,12,13,14,29,30,31,32,36,39,48,51,55,56,62,67,68,70,106,124,134,
144,146,154,166,201,321],[1,2,3,7,8,9,10,14,28,32,33,34,36,48,50,56,66,113,
121,124,126,130,322],[1,2,3,7,8,9,10,12,31,33,34,37,39,47,53,54,115,137,138,
148,153,323],[1,2,7,8,9,28,32,33,49,53,107,123,137,156,177,324],[1,2,3,7,9,10,
12,14,33,36,39,57,65,66,75,116,121,133,135,147,325],[1,2,3,4,7,8,9,10,12,13,
14,28,30,32,34,36,39,50,60,65,68,70,126,132,133,139,146,326],[1,2,3,7,9,10,12,
29,33,37,39,49,50,52,54,115,123,136,143,164,327],[1,2,3,4,7,9,10,12,13,14,28,
30,33,36,39,50,58,60,73,112,130,135,139,155,328],[1,2,3,7,9,10,12,14,28,33,36,
39,50,54,115,130,131,135,150,329],[1,2,7,9,33,35,63,105,159,330],[1,2,3,7,9,
10,29,33,37,50,52,53,103,136,137,331],[1,2,3,4,7,8,9,10,12,13,14,30,32,36,39,
44,51,55,62,65,67,73,109,133,134,154,155,193,212,332],[1,2,3,7,9,10,14,16,33,
35,36,37,45,50,52,57,116,163,169,173,185,333],[1,2,4,7,12,13,28,30,39,44,60,
109,110,125,131,139,334],[1,2,3,7,8,9,10,14,16,29,31,33,34,36,37,38,45,47,50,
52,57,116,118,136,138,145,160,169,184,335],[1,2,3,7,9,10,12,14,33,36,39,54,65,
110,115,133,150,161,336],[1,2,7,9,33,49,53,103,177,337],[1,2,4,7,8,9,12,13,30,
32,33,39,51,55,125,129,134,135,171,338],[1,2,4,7,9,12,13,15,30,33,43,51,54,58,
60,61,64,112,152,167,199,208,339],[1,2,3,7,8,9,10,31,32,33,34,37,47,53,113,
137,138,340],[1,2,7,8,9,32,33,49,53,113,177,341],[1,2,3,4,9,11,12,13,14,16,18,
29,41,44,51,56,59,62,65,69,70,73,166,193,218,232,342],[1,2,3,7,8,9,10,14,16,
34,36,37,38,45,46,47,50,52,57,59,108,111,142,160,169,184,185,343],[1,2,3,7,9,
10,14,33,35,36,50,52,53,57,66,121,137,173,198,223,344],[1,2,3,4,7,8,9,10,12,
13,14,30,32,36,37,38,39,48,56,68,70,73,75,114,124,132,146,147,155,345],[1,2,3,
4,7,8,9,10,12,13,14,30,32,36,39,62,67,68,70,73,75,125,128,146,147,150,154,155,
346],[1,2,4,7,12,13,17,28,30,39,60,74,139,203,347],[1,2,3,4,7,8,9,10,12,13,14,
18,28,30,32,34,36,39,42,50,60,62,67,68,69,70,71,75,104,122,126,139,146,147,
154,226,230,348],[1,2,3,7,9,14,33,35,42,49,53,56,66,105,174,177,198,207,349],[
1,2,3,4,7,10,12,13,14,18,30,36,39,65,69,71,73,75,122,125,133,147,150,155,
350],[1,2,3,4,8,9,12,13,14,15,31,43,49,51,56,58,61,67,68,144,165,167,178,197,
351],[1,2,3,7,9,10,14,29,33,37,42,50,52,56,63,66,136,172,174,196,211,352],[1,
2,7,9,12,33,39,54,72,115,216,353],[1,2,3,4,9,12,13,14,15,29,43,51,53,56,58,61,
62,70,166,167,170,179,186,354],[1,2,3,7,8,9,10,14,31,33,34,36,37,47,63,66,121,
138,159,196,217,355],[1,2,3,7,8,9,10,12,14,32,33,36,39,47,48,52,56,65,75,124,
127,128,133,147,161,175,356],[1,2,3,7,9,10,12,14,28,33,36,39,42,50,65,75,104,
130,131,133,147,161,175,357],[1,2,4,7,12,13,28,30,39,60,72,139,216,358],[1,2,
3,7,8,9,10,14,32,36,37,38,42,48,63,66,114,149,162,196,213,359],[1,2,3,4,7,8,9,
10,12,13,14,28,30,32,34,36,39,50,51,55,60,73,126,128,131,134,139,150,155,
360],[1,2,4,7,9,12,13,33,35,51,54,58,60,63,105,152,172,194,204,361],[1,2,3,4,
7,8,9,10,12,13,14,30,32,33,36,39,51,55,58,68,70,73,112,125,134,146,155,161,
171,362],[1,2,4,7,8,9,12,13,17,30,32,39,51,55,74,134,192,203,221,363],[1,2,3,
7,9,10,14,28,33,36,49,50,63,123,130,159,364],[1,2,3,7,8,9,10,12,14,32,33,36,
39,48,56,57,62,67,75,116,124,147,150,154,161,171,365],[1,2,3,7,8,9,10,14,32,
33,36,47,52,53,63,127,137,159,209,222,366],[1,2,3,4,7,8,9,10,12,13,14,32,36,
37,38,49,53,54,55,58,60,114,143,151,153,156,158,168,367],[1,2,3,4,7,8,9,10,12,
13,14,16,18,30,32,36,39,45,48,56,59,62,65,67,68,69,70,71,73,111,122,124,133,
146,154,155,232,234,368],[1,2,3,7,8,9,10,12,14,32,33,36,39,62,67,110,128,135,
150,154,171,175,369],[1,2,3,7,9,10,12,33,35,39,49,50,52,57,123,135,173,370],[
1,2,3,4,7,9,10,12,13,14,30,33,36,39,54,73,115,125,129,135,155,161,175,371],[1,
2,3,7,9,10,14,33,36,42,49,53,56,57,66,116,174,177,219,223,372],[1,2,3,7,9,12,
14,33,39,42,49,53,54,56,66,115,174,177,191,205,373],[1,2,4,7,8,9,12,13,30,32,
39,49,51,53,55,134,156,165,179,195,374],[1,2,4,7,8,9,12,13,15,30,32,39,40,43,
51,54,55,58,60,61,64,134,140,141,151,167,176,199,208,220,375],[1,2,3,7,8,9,10,
12,14,28,32,33,34,36,39,50,62,67,75,126,130,131,147,154,171,175,376],[1,2,3,7,
8,9,10,12,14,28,32,33,34,36,39,50,62,67,107,126,131,132,154,161,171,377],[1,2,
3,7,9,10,14,28,33,36,50,53,63,130,137,159,378],[1,2,3,7,9,10,12,33,35,39,50,
52,54,57,63,115,159,173,181,204,379],[1,2,3,4,7,8,9,10,12,13,14,30,32,33,36,
39,47,52,66,68,70,73,121,127,129,146,155,161,171,380],[1,2,3,4,7,9,10,12,13,
14,18,29,33,37,42,50,51,52,54,56,58,60,62,66,70,71,75,136,152,166,174,188,202,
214,230,381],[1,2,4,7,8,9,12,13,32,33,51,54,58,60,63,113,152,172,382],[1,2,3,
7,9,10,12,14,16,33,36,39,45,59,66,75,111,121,147,150,161,175,383],[1,2,3,7,8,
9,14,29,31,32,42,48,63,66,106,149,162,211,217,384],[1,2,3,7,9,10,12,14,33,36,
39,44,75,109,135,147,150,161,175,385],[1,2,4,7,9,12,13,33,49,51,53,54,58,60,
123,152,165,177,195,386],[1,2,3,4,9,12,13,14,29,40,49,51,54,56,62,64,70,164,
165,166,176,191,387],[1,2,4,7,9,12,13,33,51,54,58,60,63,103,152,172,388],[1,2,
3,7,8,9,10,14,16,31,32,33,34,35,36,37,38,45,47,50,52,57,117,127,138,142,145,
157,160,163,173,184,389],[1,2,3,7,9,10,14,33,35,36,49,50,52,57,66,121,123,173,
207,219,390],[1,2,3,4,7,9,12,13,14,33,42,51,53,54,56,58,60,66,137,152,174,186,
205,391],[1,2,3,7,9,14,33,42,53,56,63,66,137,172,174,392],[1,2,4,7,9,12,13,33,
49,51,53,54,58,60,137,152,177,179,195,393],[1,2,3,4,7,9,10,12,13,14,33,36,51,
54,57,58,60,63,116,152,172,181,200,394],[1,2,3,7,8,9,10,12,31,33,34,37,39,47,
63,135,138,159,395],[1,2,3,7,9,10,12,29,33,37,39,50,52,63,135,136,159,396],[1,
2,3,7,9,10,12,33,35,39,50,52,53,57,135,137,173,397],[1,2,3,4,7,9,10,12,13,14,
18,30,33,36,39,57,66,69,71,73,116,121,122,129,155,161,175,398],[1,2,3,4,7,9,
10,13,30,33,35,50,52,57,58,63,112,159,173,194,200,399],[1,2,3,4,7,8,9,10,12,
13,14,30,32,36,39,51,55,62,67,68,70,125,128,132,134,146,150,154,400],[1,2,7,9,
33,49,53,63,123,172,177,401],[1,2,3,4,7,9,13,14,30,33,42,49,53,56,58,66,112,
174,177,186,197,402],[1,2,3,7,8,9,10,12,14,32,33,36,39,47,48,52,56,62,67,124,
127,132,150,154,171,175,403],[1,2,7,9,33,49,53,63,137,172,177,404],[1,2,4,7,8,
9,12,13,30,32,39,51,55,72,134,187,215,216,405],[1,2,3,7,9,14,33,42,49,56,63,
66,123,172,174,406],[1,2,3,7,8,9,10,14,32,33,36,47,49,52,63,123,127,159,182,
206,407],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,36,39,50,60,68,70,107,129,130,
139,146,171,175,408],[1,2,3,4,8,9,12,13,14,31,40,51,53,54,56,64,67,68,144,148,
176,179,205,409],[1,2,7,8,9,32,33,63,113,149,410],[1,2,4,7,12,13,28,30,39,60,
131,139,411],[1,2,3,7,8,9,10,14,16,28,31,32,33,34,35,36,37,38,45,47,50,52,57,
126,130,138,157,173,180,184,185,412],[1,2,3,7,9,10,14,29,33,36,37,50,52,63,66,
121,136,159,211,213,413],[1,2,3,7,8,9,10,14,16,29,32,33,35,36,37,45,47,50,52,
57,118,119,120,127,136,142,163,169,173,180,185,414],[1,2,3,7,8,9,10,14,16,31,
32,34,35,36,37,38,45,47,50,52,57,114,120,145,157,160,163,169,180,184,185,
415],[1,2,3,7,8,9,10,14,31,33,34,37,42,47,56,63,66,138,172,174,213,217,416],[
1,2,3,4,7,8,9,10,12,13,31,33,34,37,47,49,51,53,54,58,60,138,143,148,152,158,
177,178,417],[1,2,3,7,9,10,29,33,37,49,50,52,53,63,136,172,177,182,209,418],[
1,2,3,4,7,9,12,13,14,33,42,49,51,54,56,58,60,66,123,152,174,191,197,419],[1,2,
3,7,8,9,10,31,33,34,37,47,49,53,63,138,172,177,206,222,420],[1,2,4,7,8,9,12,
13,29,31,32,49,53,54,55,58,60,106,148,151,156,164,170,178,421],[1,2,4,7,9,13,
17,30,33,58,74,112,203,422],[1,2,3,7,9,10,33,35,50,52,57,63,103,159,173,423],[
1,2,3,7,8,9,10,12,14,32,33,36,37,38,39,62,65,66,67,114,121,133,150,154,171,
175,424],[1,2,3,7,8,9,10,32,33,35,50,52,57,63,113,159,173,425],[1,2,3,4,7,8,9,
10,12,13,14,30,32,33,36,39,47,51,52,55,68,70,113,127,129,134,146,171,175,
426],[1,2,3,4,7,9,10,12,13,29,33,37,49,50,51,52,53,54,58,60,136,152,153,164,
168,170,177,427],[1,2,3,4,7,8,9,10,12,13,14,18,31,33,34,37,42,47,51,54,56,58,
60,66,67,68,71,75,138,144,152,174,183,202,210,226,428],[1,2,3,4,8,9,10,13,14,
18,31,38,47,49,52,57,58,63,66,70,71,145,178,182,200,214,217,219,429],[1,2,3,7,
8,9,10,14,32,35,42,47,48,49,50,53,57,66,156,162,180,198,207,219,223,430],[1,2,
3,4,9,12,13,14,15,43,44,51,58,61,62,65,72,73,167,193,215,224,227,431],[1,2,3,
4,9,12,13,14,40,44,51,54,62,64,65,72,73,176,193,215,228,235,432],[1,2,3,4,9,
10,13,14,18,29,35,52,53,58,63,66,70,71,119,170,194,198,209,211,214,433],[1,2,
3,4,9,10,13,14,18,35,37,49,52,57,58,63,66,70,71,163,168,182,194,196,207,214,
434],[1,2,3,4,7,8,9,10,12,13,14,32,36,48,49,53,54,55,56,58,60,124,151,156,186,
191,197,205,435],[1,2,3,4,9,11,12,13,14,17,18,40,41,51,54,64,69,70,73,74,176,
192,218,229,233,436],[1,2,3,4,9,12,13,14,17,29,51,56,62,70,72,74,166,192,215,
437],[1,2,4,7,12,13,39,40,44,60,61,64,72,109,216,220,224,235,438],[1,2,3,4,8,
9,10,13,14,18,35,37,47,53,58,63,66,68,71,120,158,194,198,210,213,222,439],[1,
2,3,4,7,8,9,10,12,13,32,35,47,50,54,55,57,58,60,63,149,151,180,181,194,200,
204,440],[1,2,3,4,9,10,13,14,16,18,37,45,52,53,57,58,63,66,70,71,158,169,200,
209,213,214,223,441],[1,2,3,8,9,10,12,14,35,37,47,49,54,63,66,67,75,120,143,
183,204,206,207,213,442],[1,2,4,7,9,12,13,15,17,30,33,43,60,61,64,74,129,203,
208,443],[1,2,3,4,8,9,10,13,14,16,18,37,38,45,47,49,57,58,63,66,68,71,160,168,
196,200,206,210,219,444],[1,2,3,8,9,10,12,14,29,47,49,54,57,63,66,67,75,118,
164,181,183,206,211,219,445],[1,2,3,4,9,10,12,13,14,15,18,37,43,49,51,53,56,
58,61,71,75,158,167,168,186,195,197,202,446],[1,2,4,7,12,13,15,17,30,39,43,60,
61,64,74,125,203,208,447],[1,2,3,7,8,9,12,14,32,39,42,48,63,66,128,149,162,
448],[1,2,4,7,12,13,39,40,60,61,64,72,110,216,220,449],[1,2,3,4,7,10,12,13,14,
36,39,40,60,61,64,65,72,133,216,220,227,228,450],[1,2,3,4,9,11,12,13,14,18,41,
49,51,69,70,72,73,165,215,218,451],[1,2,3,4,9,11,12,13,14,18,41,51,53,69,70,
72,73,179,215,218,452],[1,2,4,7,11,12,13,15,17,30,41,43,60,61,64,74,76,102,
203,208,225,233,453],[1,2,3,4,9,11,12,13,14,15,17,18,41,43,51,58,61,69,70,73,
74,76,77,167,192,218,225,231,454],[1,2,3,4,7,10,12,13,14,15,17,18,30,36,43,60,
61,64,69,71,74,77,122,203,208,229,231,455],[1,2,3,4,9,10,12,13,14,18,37,51,53,
54,56,58,61,64,71,75,153,158,179,186,199,202,205,456],[1,2,3,9,10,12,14,29,35,
49,52,54,62,63,66,75,119,164,182,188,204,207,211,457],[1,2,3,4,9,12,13,14,17,
44,51,53,62,65,73,74,179,192,193,458],[1,2,3,4,8,9,12,13,14,17,31,51,56,67,68,
72,74,144,192,215,459],[1,2,3,4,8,9,12,13,14,31,49,51,53,54,56,58,61,64,67,68,
144,148,178,186,191,195,199,460],[1,2,3,7,8,9,10,31,32,34,38,47,49,50,52,53,
63,149,156,157,182,206,209,222,461],[1,2,4,7,8,9,12,13,32,39,40,60,61,64,72,
132,216,220,462],[1,2,3,8,9,10,12,14,31,38,47,52,53,54,57,62,63,66,75,145,148,
181,188,209,217,223,463],[1,2,3,4,9,10,12,13,14,18,37,40,49,51,53,54,56,64,71,
75,143,153,176,191,195,202,205,464],[1,2,3,9,10,12,14,16,37,45,49,52,54,57,62,
63,66,75,143,169,181,182,188,213,219,465],[1,2,3,8,9,10,12,14,16,37,38,45,47,
53,54,57,63,66,67,75,153,160,181,183,196,222,223,466],[1,2,3,9,10,12,14,35,37,
52,53,54,57,62,63,66,75,153,163,188,196,198,204,209,467],[1,2,3,4,9,12,13,14,
29,49,51,53,54,56,58,61,62,64,70,164,166,170,195,197,199,205,468],[1,2,3,4,7,
8,9,10,12,13,14,18,31,32,34,38,42,47,48,50,52,54,55,58,60,62,66,67,68,70,71,
75,151,157,162,183,188,189,201,210,214,226,230,469],[1,2,3,4,9,10,12,13,14,18,
37,49,51,54,56,58,61,64,71,75,143,165,168,191,197,199,202,470],[1,2,3,4,8,9,
10,13,14,18,29,47,53,57,58,63,66,68,71,118,170,200,210,211,222,223,471],[1,2,
3,8,9,10,12,14,31,35,47,53,54,63,66,67,75,117,148,183,198,204,217,222,472],[1,
2,3,4,8,9,10,13,14,18,31,35,47,49,58,63,66,68,71,117,178,194,206,207,210,217,
473],[1,2,3,4,8,9,11,12,13,14,16,18,31,41,44,48,51,55,56,59,62,65,67,68,69,70,
73,144,190,193,201,212,218,232,234,474],[1,2,3,4,9,12,13,14,17,44,49,51,62,65,
73,74,165,192,193,475],[1,2,3,4,8,11,12,13,14,15,17,18,41,43,55,64,68,69,73,
74,76,77,141,190,221,225,229,231,233,476],[1,2,3,4,8,12,13,14,40,44,55,61,65,
67,72,73,140,187,212,224,227,228,235,477],[1,2,3,4,8,10,12,13,14,17,18,38,48,
55,71,72,74,75,187,189,221,478],[1,2,5,6,7,22,78,80,82,83,479],[1,3,4,5,6,18,
20,23,24,25,78,95,236,237,480],[1,4,5,6,17,23,24,78,236,481],[1,4,5,6,15,23,
24,26,78,98,236,238,482],[1,4,5,6,11,26,78,81,86,87,88,483],[1,2,6,22,27,99,
240,484],[1,2,5,7,28,82,101,485],[1,2,4,5,7,11,13,30,41,82,88,102,486],[1,2,4,
6,7,11,13,30,41,80,87,102,487],[1,2,6,7,9,33,80,103,488],[1,2,6,7,22,28,80,83,
101,243,489],[1,2,5,7,12,39,82,110,490],[1,2,4,6,7,11,13,22,30,41,81,83,102,
253,491],[1,2,4,5,7,11,13,26,30,41,82,86,102,251,492],[1,2,3,6,8,9,10,22,29,
47,57,94,118,245,493],[1,2,3,6,9,14,21,22,29,63,66,93,211,245,494],[1,2,3,6,7,
10,14,22,25,28,36,42,80,91,104,243,248,495],[1,2,6,7,8,9,22,28,32,33,80,94,
107,243,496],[1,2,4,6,9,13,22,24,29,53,58,89,170,245,497],[1,2,6,7,8,9,22,29,
31,32,83,106,245,498],[1,2,3,6,8,9,10,22,35,37,47,94,120,242,499],[1,2,6,9,12,
22,29,49,54,90,164,245,500],[1,2,3,6,7,8,9,10,14,20,21,22,28,32,34,36,50,80,
92,126,241,243,244,501],[1,2,4,6,9,13,22,24,35,58,63,89,194,242,502],[1,2,6,7,
9,22,33,35,83,105,242,503],[1,2,3,6,9,14,20,21,22,35,49,66,92,207,242,504],[1,
2,3,6,7,9,10,14,21,22,28,33,36,50,80,93,130,243,244,505],[1,2,3,6,8,9,10,22,
25,31,35,47,91,117,242,506],[1,2,6,7,12,22,28,39,80,90,131,243,507],[1,2,4,6,
7,12,13,22,24,28,30,39,60,80,89,139,243,249,508],[1,2,3,6,9,14,20,21,22,29,63,
66,92,211,245,509],[1,2,3,6,9,10,22,25,29,35,52,91,119,245,510],[1,2,6,9,12,
22,35,54,63,90,204,242,511],[1,2,3,6,9,14,21,22,35,53,66,93,198,242,512],[1,2,
3,4,6,7,9,10,12,13,14,18,21,24,25,42,50,60,62,70,71,75,80,97,230,244,248,249,
513],[1,2,6,7,12,22,39,44,83,109,250,514],[1,2,3,4,6,7,8,10,12,13,14,18,20,24,
25,34,42,60,67,68,71,75,80,95,226,241,248,249,515],[1,2,3,6,12,14,20,21,22,40,
65,72,92,228,252,516],[1,2,3,6,8,9,10,16,22,45,47,52,84,94,142,247,517],[1,2,
6,12,22,40,44,72,90,235,250,518],[1,2,3,4,6,13,14,15,17,18,21,22,43,69,74,77,
85,93,231,254,264,519],[1,2,3,6,7,10,14,16,22,36,45,59,83,84,111,247,261,
520],[1,2,4,6,12,13,22,24,44,61,72,89,224,250,521],[1,2,4,5,7,13,17,26,30,74,
82,96,203,251,522],[1,2,4,6,11,13,15,17,22,24,41,43,74,76,81,89,225,253,262,
523],[1,2,4,6,11,12,13,17,22,41,64,74,81,90,233,253,524],[1,2,4,5,7,12,13,15,
23,26,30,43,60,61,64,82,98,208,251,263,525],[1,2,4,6,11,13,15,17,22,24,41,43,
74,76,85,89,225,254,259,526],[1,2,4,6,8,12,13,22,40,55,61,94,140,252,527],[1,
2,3,6,10,16,22,25,45,46,84,91,108,247,255,528],[1,2,6,12,22,40,44,72,90,235,
252,529],[1,2,4,6,8,12,13,15,22,43,55,64,85,94,141,254,530],[1,2,3,4,6,7,8,10,
12,13,14,18,20,21,22,24,25,34,42,60,67,68,71,75,83,89,90,91,92,93,94,95,97,
226,246,256,257,258,260,265,266,531],[1,2,7,27,28,532],[1,3,16,27,46,533],[1,
4,5,11,19,23,79,88,534],[1,4,5,11,19,23,79,88,535],[1,4,6,15,19,24,79,85,
536],[1,4,5,17,19,26,79,96,100,239,270,537],[1,2,7,8,9,28,32,33,103,107,113,
272,538],[1,2,4,7,9,11,13,30,33,35,41,58,102,103,105,112,129,274,284,539],[1,
2,4,7,11,12,13,28,30,39,41,44,60,101,102,109,110,125,131,139,275,278,334,
540],[1,2,3,7,8,9,10,14,28,32,33,34,36,42,48,50,56,66,101,103,104,107,113,121,
124,126,130,162,174,272,273,276,286,322,541],[1,2,3,7,8,9,10,14,28,32,33,36,
42,48,56,66,103,104,107,113,121,124,162,174,272,279,286,316,542],[1,2,7,8,9,
12,29,31,32,33,35,39,44,54,105,106,109,113,115,128,132,171,281,317,319,543],[
1,2,3,7,8,9,10,14,16,28,29,31,32,33,34,35,36,37,38,42,45,47,50,52,57,59,101,
104,105,106,107,111,114,116,126,127,130,136,138,157,173,180,184,185,273,283,
285,295,306,412,544],[1,2,4,7,8,9,12,13,15,28,30,32,33,39,40,43,51,54,55,58,
60,61,64,107,112,115,134,139,140,141,151,152,167,176,199,208,220,291,294,315,
339,375,545],[1,2,3,7,8,9,10,14,16,28,29,32,33,35,36,37,45,47,50,52,57,105,
107,116,118,119,120,127,130,136,142,163,169,173,180,185,282,283,295,333,414,
546],[1,2,3,4,7,8,9,10,11,12,13,14,16,18,29,30,31,32,36,39,41,44,45,48,51,55,
56,59,62,65,67,68,69,70,71,73,102,106,109,111,122,124,133,134,144,146,154,155,
166,190,193,201,212,218,232,234,302,321,332,342,368,474,547],[1,2,7,8,9,28,32,
33,63,107,149,159,172,311,548],[1,2,3,7,9,10,12,14,16,33,35,36,39,44,45,59,66,
75,105,109,111,121,135,147,150,161,175,304,383,385,549],[1,2,3,4,7,8,9,10,11,
12,13,14,18,30,32,36,37,38,39,41,48,51,55,56,68,69,70,71,73,75,102,110,114,
122,124,132,134,146,147,155,189,190,202,218,277,292,302,320,345,550],[1,2,4,7,
8,9,12,13,28,30,32,33,39,51,54,55,58,60,107,112,115,128,131,134,135,139,151,
152,280,291,411,551],[1,2,3,4,7,9,10,13,29,30,33,35,37,50,52,53,57,58,103,105,
112,119,129,136,137,158,163,170,173,282,284,289,307,331,552],[1,2,3,7,8,9,10,
12,31,32,33,34,35,37,39,47,53,54,105,113,115,117,120,137,138,148,153,171,271,
281,289,323,340,553],[1,2,4,7,9,13,30,33,35,58,63,103,105,112,129,159,284,330,
554],[1,2,4,7,9,13,30,33,35,49,58,103,105,112,123,129,284,287,555],[1,2,4,7,8,
9,12,13,28,30,32,33,39,51,54,55,58,60,63,107,112,115,134,139,149,151,152,159,
172,291,299,311,313,556],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,
50,51,52,54,55,57,58,60,68,70,103,105,107,112,113,115,116,127,129,130,134,139,
146,151,152,171,173,175,180,272,281,283,284,288,290,291,408,426,557],[1,2,3,4,
7,8,9,10,13,30,31,33,34,35,37,47,49,58,103,105,112,117,120,123,129,138,168,
178,271,284,287,296,298,558],[1,2,7,8,9,12,32,33,35,39,54,63,105,113,115,159,
171,281,330,559],[1,2,3,7,8,9,10,12,29,32,33,35,37,39,49,50,52,54,57,105,113,
115,119,123,136,143,163,164,171,173,281,282,287,310,327,560],[1,2,4,7,8,9,12,
13,28,30,32,33,39,49,51,53,54,55,58,60,107,112,115,123,134,137,139,151,152,
156,165,177,179,195,291,324,374,386,393,561],[1,2,3,4,7,8,9,10,12,13,14,18,28,
29,30,31,32,33,34,36,37,38,39,42,47,48,50,51,52,54,55,56,58,60,62,66,67,68,69,
70,71,75,104,106,107,112,114,115,121,122,124,126,127,134,136,138,139,144,146,
147,151,152,154,157,162,166,174,183,188,189,201,202,210,214,226,230,285,286,
291,303,309,320,321,348,381,428,469,562],[1,2,3,4,7,9,10,12,13,14,18,30,33,35,
36,39,54,57,58,66,69,71,73,103,105,112,115,116,121,122,125,129,135,155,161,
175,284,290,304,308,371,398,563],[1,2,7,8,9,28,32,33,63,103,107,113,149,159,
172,272,311,410,564],[1,2,7,8,9,28,32,33,49,53,103,107,113,123,137,156,177,
272,324,337,341,565],[1,2,3,7,8,9,10,12,14,28,32,33,35,36,39,42,47,48,50,52,
56,57,65,66,75,104,105,107,116,121,124,127,128,130,131,133,135,147,161,162,
173,174,175,180,280,283,286,304,325,356,357,566],[1,2,3,7,8,9,10,14,28,32,33,
35,36,47,50,52,57,63,105,107,116,127,130,149,159,172,173,180,283,311,314,330,
567],[1,2,3,7,8,9,10,12,14,32,33,35,36,37,38,39,54,62,65,66,67,105,110,113,
114,115,121,128,133,135,150,154,161,171,175,281,304,312,336,369,424,568],[1,2,
3,7,8,9,10,14,28,32,33,35,36,47,49,50,52,53,57,105,107,116,123,127,130,137,
156,173,177,180,283,287,289,297,324,569],[1,2,3,7,8,9,10,12,14,28,29,31,32,33,
34,36,37,38,39,47,50,52,62,67,103,106,107,113,114,126,127,128,131,132,135,136,
138,154,157,161,171,272,280,285,300,312,318,319,377,570],[1,2,7,8,9,12,32,33,
35,39,53,54,105,113,115,137,171,281,289,571],[1,2,3,7,8,9,10,14,16,28,29,31,
32,33,34,35,36,37,38,45,47,50,52,57,105,106,107,114,116,117,118,119,120,126,
127,130,136,138,142,145,157,160,163,169,173,180,184,185,271,282,283,285,293,
335,389,412,414,415,572],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,34,36,39,42,
50,51,54,55,58,60,73,101,104,107,112,115,126,128,130,131,134,135,139,150,151,
152,155,273,275,280,291,305,328,329,360,573],[1,2,4,7,12,13,15,28,30,39,40,43,
60,61,64,101,131,139,208,220,275,294,411,574],[1,2,3,7,8,9,10,14,16,28,29,31,
32,33,34,35,36,37,38,42,45,46,47,50,52,57,59,104,108,111,114,116,117,118,119,
120,126,127,130,136,138,142,145,157,160,163,169,173,180,184,185,295,306,333,
335,343,389,412,414,415,575],[1,2,3,4,7,10,12,13,14,15,28,30,36,39,40,42,43,
60,61,64,73,104,131,139,150,155,208,220,294,305,411,576],[1,2,3,4,7,9,10,12,
13,14,33,36,39,40,51,54,57,58,60,61,63,64,103,115,116,152,172,175,176,181,199,
200,220,290,313,315,388,394,577],[1,2,3,4,7,8,9,10,11,12,13,14,18,30,32,33,36,
39,41,47,51,52,55,57,58,66,68,69,70,71,73,102,112,113,116,121,122,125,127,129,
134,146,155,161,171,175,190,210,214,218,274,288,302,303,308,362,380,398,426,
578],[1,2,3,4,7,9,13,14,30,33,35,42,49,53,56,58,66,103,105,112,129,174,177,
186,197,198,207,279,284,337,349,402,579],[1,2,3,7,8,9,10,14,28,29,31,32,33,34,
36,37,38,42,47,48,50,52,56,63,66,104,106,107,114,121,124,126,127,136,138,149,
157,159,162,172,174,196,211,213,217,285,286,311,352,355,359,384,413,416,580],[
1,2,3,7,9,10,12,14,29,33,35,36,37,39,50,52,53,57,66,105,119,121,135,136,137,
161,163,173,175,198,223,282,289,304,344,397,581],[1,2,3,7,8,9,10,12,14,32,33,
36,39,44,47,48,52,54,56,57,62,65,67,75,103,109,110,115,116,124,127,128,132,
133,135,147,150,154,161,171,175,290,317,318,336,356,365,369,385,403,582],[1,2,
4,7,9,13,17,30,33,35,58,74,103,105,112,129,203,284,422,583],[1,2,4,7,9,12,13,
15,30,33,35,43,51,54,58,60,61,63,64,103,105,112,129,152,167,172,194,199,204,
208,284,299,339,361,388,584],[1,2,3,4,7,8,9,10,12,13,14,30,32,33,35,36,39,47,
51,52,54,55,58,66,68,70,73,103,105,112,113,115,121,125,127,129,134,135,146,
155,161,171,175,281,284,304,318,338,362,371,380,426,585],[1,2,3,4,7,8,9,10,12,
13,14,16,18,28,30,32,33,34,36,37,38,39,42,45,47,48,50,52,56,57,58,59,60,62,65,
66,67,68,69,70,71,73,75,104,111,112,113,114,116,121,122,124,126,127,130,132,
133,135,139,146,147,154,155,184,185,210,214,226,230,232,234,288,300,303,306,
322,325,326,328,345,348,368,586],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,32,33,
36,39,41,50,51,54,55,58,60,68,69,70,71,73,102,107,112,115,122,125,129,130,134,
135,139,146,151,152,155,161,171,175,190,218,274,278,291,301,302,308,328,338,
362,371,408,587],[1,2,3,7,8,9,12,14,32,33,35,39,42,48,49,53,54,56,66,105,113,
115,162,171,174,177,191,198,205,207,281,316,341,349,373,588],[1,2,7,8,9,12,28,
32,33,39,49,53,63,107,123,128,131,135,137,149,156,159,172,177,280,311,324,
589],[1,2,3,7,8,9,10,14,28,32,33,35,36,42,47,48,49,50,52,53,56,57,66,104,105,
107,116,121,123,124,127,130,137,156,162,173,174,177,180,198,207,219,223,283,
286,324,344,349,372,390,430,590],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,34,36,
39,44,50,51,54,55,58,60,62,65,67,68,70,73,107,109,110,112,115,125,126,128,131,
132,133,134,139,146,150,151,152,154,155,161,171,193,212,277,291,317,326,332,
334,336,360,362,377,400,591],[1,2,3,4,7,8,9,10,12,13,14,28,29,30,31,32,33,34,
36,37,38,39,47,49,50,51,52,53,54,55,58,60,106,107,112,114,115,123,126,127,134,
136,137,138,139,143,148,151,152,153,156,157,158,164,168,170,177,178,285,291,
296,307,323,324,327,367,417,421,427,592],[1,2,3,7,8,9,10,12,14,28,32,33,34,35,
36,39,47,48,50,52,54,56,57,62,66,67,75,105,107,113,115,116,121,124,126,127,
130,131,132,135,147,150,154,161,171,173,175,180,183,188,281,283,300,304,309,
322,329,365,376,377,403,593],[1,2,3,7,8,9,10,12,14,28,32,33,36,39,42,48,56,63,
66,104,107,121,124,128,131,135,149,159,162,172,174,280,286,311,448,594],[1,2,
3,4,7,8,9,10,12,13,14,29,30,31,32,33,36,37,38,39,48,51,55,56,57,58,62,67,68,
70,73,75,106,112,113,114,116,124,125,128,132,134,144,146,147,150,154,155,161,
166,171,201,288,312,319,321,345,346,362,365,400,595],[1,2,3,4,7,8,9,10,11,12,
13,14,18,28,30,32,34,36,39,41,42,50,51,55,60,62,65,67,68,69,70,71,73,75,102,
104,122,125,126,128,131,132,133,134,139,146,147,150,154,155,190,218,226,230,
278,302,305,326,346,348,350,360,400,596],[1,2,3,4,7,8,9,10,12,13,14,29,30,31,
32,33,36,39,47,48,51,52,55,56,62,67,68,70,106,110,113,124,125,127,128,129,132,
134,135,144,146,150,154,166,171,175,201,277,300,319,321,338,369,400,403,426,
597],[1,2,3,7,8,9,10,14,28,32,33,35,36,47,49,50,52,57,63,105,107,116,123,127,
130,159,173,180,182,206,283,287,330,364,407,598],[1,2,3,7,8,9,10,12,14,31,33,
34,35,36,37,39,47,63,66,105,117,120,121,135,138,159,161,175,196,217,271,304,
330,355,395,599],[1,2,3,4,7,8,9,10,12,13,14,15,30,32,33,36,43,51,54,57,58,60,
61,63,64,68,70,112,113,116,146,152,167,172,181,199,200,208,288,299,339,382,
394,600],[1,2,3,7,9,10,12,14,16,33,35,36,37,39,45,50,52,54,57,63,103,115,116,
159,163,169,173,175,181,185,204,290,314,333,379,423,601],[1,2,3,7,9,10,12,14,
33,35,36,39,53,63,66,105,121,135,137,159,161,175,289,304,330,602],[1,2,4,7,8,
9,12,13,32,33,35,39,40,51,54,58,60,61,63,64,105,113,115,152,171,172,176,194,
199,204,220,281,313,315,361,382,603],[1,2,3,7,9,10,12,14,29,33,35,36,37,39,49,
50,52,57,66,105,119,121,123,135,136,161,163,173,175,207,219,282,287,304,370,
390,604],[1,2,3,7,9,10,12,14,33,35,36,39,63,66,105,121,135,159,161,175,304,
330,605],[1,2,3,7,8,9,10,12,14,28,29,31,32,33,34,36,37,38,39,47,50,52,63,106,
107,114,126,127,128,131,135,136,138,149,157,159,172,280,285,311,395,396,606],[
1,2,4,7,8,9,12,13,28,30,32,33,39,51,54,55,58,60,63,103,107,112,113,115,134,
139,149,151,152,159,172,272,291,311,382,388,607],[1,2,3,4,7,8,9,10,13,14,17,
30,32,33,36,57,58,68,70,74,112,113,116,146,203,288,422,608],[1,2,3,4,7,9,10,
13,29,30,33,35,37,50,52,57,58,63,103,105,112,119,129,136,159,163,173,194,200,
282,284,330,399,423,609],[1,2,3,7,8,9,10,12,14,16,29,31,33,34,36,37,38,39,45,
47,49,50,52,53,54,57,103,115,116,118,123,136,137,138,143,145,148,153,160,164,
169,175,184,290,297,298,323,327,331,335,610],[1,2,3,7,8,9,10,14,28,32,33,35,
36,47,50,52,53,57,63,105,107,116,127,130,137,159,173,180,209,222,283,289,330,
366,378,611],[1,2,7,8,9,12,28,32,33,39,49,53,103,107,113,123,128,131,135,137,
156,177,272,280,324,612],[1,2,3,7,8,9,10,14,28,32,33,34,36,42,49,50,53,63,101,
104,107,123,126,130,137,149,156,159,172,177,273,311,324,364,378,613],[1,2,3,7,
9,10,12,14,33,35,36,39,49,63,66,105,121,123,135,159,161,175,287,304,330,614],[
1,2,4,7,9,13,30,33,35,49,53,58,103,105,112,129,177,284,337,615],[1,2,3,4,7,8,
9,10,12,13,14,18,28,30,32,33,34,36,39,42,50,60,62,65,67,68,69,70,71,75,101,
104,107,122,126,129,130,131,132,133,139,146,147,154,161,171,175,226,230,273,
275,301,326,348,357,376,377,408,616],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,
36,39,42,48,49,51,53,54,55,56,58,60,66,104,107,112,115,121,123,124,134,137,
139,151,152,156,162,174,177,186,191,197,205,286,291,324,373,391,402,419,435,
617],[1,2,4,7,9,13,30,33,35,53,58,63,103,105,112,129,137,159,284,289,330,
618],[1,2,3,7,9,10,12,14,33,35,36,39,49,53,66,105,121,123,135,137,161,175,287,
289,304,619],[1,2,3,7,8,9,10,14,28,29,31,32,33,34,36,37,38,47,49,50,52,53,103,
106,107,113,114,123,126,127,136,137,138,156,157,177,272,285,298,310,324,331,
340,620],[1,2,3,4,7,8,9,10,12,13,14,18,28,30,32,33,35,36,39,47,50,52,57,58,60,
66,68,69,70,71,73,103,105,107,112,116,121,122,127,129,130,135,139,146,155,161,
171,173,175,180,210,214,276,283,284,301,303,304,318,328,380,398,408,621],[1,2,
3,7,8,9,10,14,28,29,31,32,33,34,36,37,38,47,49,50,52,53,63,106,107,114,123,
126,127,136,137,138,149,156,157,159,172,177,182,206,209,222,285,311,324,366,
407,418,420,461,622],[1,2,3,7,8,9,10,14,28,32,33,35,36,47,50,52,57,63,103,105,
107,113,116,127,130,149,159,172,173,180,272,283,311,423,425,623],[1,2,3,4,7,8,
9,10,13,14,16,30,32,33,35,36,37,45,50,52,57,58,63,68,70,112,113,116,146,159,
163,169,173,185,194,200,288,314,333,399,425,624],[1,2,4,7,8,9,12,13,28,30,32,
33,39,51,54,55,58,60,72,107,112,115,134,139,151,152,187,215,216,291,353,358,
405,625],[1,2,3,4,7,8,9,10,13,14,30,32,33,36,57,58,63,68,70,112,113,116,146,
149,288,410,626],[1,2,3,7,9,10,12,14,29,33,35,36,37,39,50,52,57,63,66,105,119,
121,135,136,159,161,163,173,175,211,213,282,304,330,396,413,627],[1,2,7,8,9,
12,32,33,35,39,54,63,105,113,115,149,171,281,410,628],[1,2,4,7,8,9,12,13,17,
28,30,32,33,39,51,54,55,58,60,74,107,112,115,134,139,151,152,192,203,221,291,
347,363,422,629],[1,2,3,7,9,10,12,14,33,36,39,42,49,53,54,56,57,66,103,115,
116,174,175,177,191,205,219,223,279,290,337,372,373,630],[1,2,7,8,9,12,32,33,
35,39,49,54,63,105,113,115,123,159,171,281,287,330,631],[1,2,7,8,9,12,32,33,
35,39,54,72,105,113,115,171,216,281,353,632],[1,2,3,4,7,8,9,10,12,13,14,18,30,
32,33,36,37,38,39,44,48,51,55,56,57,62,65,66,67,69,71,73,75,109,114,116,121,
122,124,125,129,133,134,135,147,150,154,155,161,171,175,189,193,202,212,320,
325,332,338,350,365,385,398,424,633],[1,2,3,7,8,9,10,12,29,32,33,35,37,39,50,
52,54,57,63,105,113,115,119,136,159,163,171,173,181,204,281,282,330,379,425,
634],[1,2,3,7,8,9,10,14,28,32,33,36,42,48,49,53,56,63,66,104,107,121,123,124,
137,149,156,159,162,172,174,177,286,311,324,392,406,635],[1,2,3,4,7,8,9,10,13,
14,30,32,33,36,42,48,49,53,56,57,58,66,68,70,112,113,116,146,162,174,177,186,
197,219,223,288,316,341,372,402,636],[1,2,3,7,9,10,12,14,33,36,39,49,53,54,57,
103,115,116,175,177,290,337,637],[1,2,3,7,8,9,10,12,14,16,28,32,33,34,36,37,
38,39,42,45,47,50,52,54,57,59,62,65,66,67,75,103,104,111,114,115,116,121,126,
127,130,131,133,135,147,150,154,161,171,175,183,184,185,188,276,290,306,309,
318,325,329,357,376,383,424,638],[1,2,7,8,9,28,32,33,49,53,63,107,123,137,149,
156,159,172,177,311,324,401,404,639],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,
35,36,39,47,50,51,52,54,55,57,58,60,63,105,107,112,115,116,127,130,134,139,
149,151,152,159,172,173,180,181,194,200,204,283,291,311,361,379,394,399,440,
640],[1,2,3,4,7,8,9,10,13,14,16,29,30,31,32,33,34,36,37,38,45,47,49,50,52,53,
57,58,68,70,112,113,116,118,123,136,137,138,145,146,158,160,168,169,170,178,
184,288,296,297,307,310,335,340,641],[1,2,3,7,8,9,10,12,14,28,32,33,35,36,39,
47,49,50,52,53,57,105,107,116,123,127,128,130,131,135,137,156,173,177,180,280,
283,324,370,397,642],[1,2,3,7,9,10,12,14,33,36,39,54,57,72,103,115,116,175,
216,290,353,643],[1,2,3,4,7,9,10,12,13,14,18,28,30,33,36,39,42,44,50,54,60,65,
69,71,73,75,104,109,110,115,122,125,129,130,131,133,135,139,147,150,155,161,
175,301,305,329,334,336,350,357,371,385,644],[1,2,3,7,8,9,10,14,16,28,32,33,
34,36,37,38,42,45,47,49,50,52,53,57,59,63,104,111,114,116,123,126,127,130,137,
159,182,184,185,206,209,222,297,306,314,364,366,378,407,645],[1,2,3,7,8,9,10,
12,14,16,31,32,33,34,35,36,37,38,39,45,47,50,52,53,54,57,62,63,66,67,75,115,
117,121,127,137,138,142,145,147,148,153,154,157,159,160,163,173,181,183,184,
188,196,198,204,209,217,222,223,309,323,344,355,366,379,389,463,466,467,472,
646],[1,2,7,8,9,12,29,31,32,33,39,49,53,63,106,113,128,132,149,171,177,319,
341,410,647],[1,2,3,4,7,8,9,10,12,13,14,17,29,30,31,32,36,39,48,51,55,56,62,
67,68,70,72,74,106,124,134,144,146,154,166,187,192,201,203,215,216,221,321,
363,405,437,459,648],[1,2,3,4,7,9,12,13,14,33,35,42,49,51,53,54,56,58,60,63,
66,105,137,152,172,174,177,179,186,194,195,198,204,205,207,289,349,361,391,
392,393,404,649],[1,2,3,4,7,8,9,10,12,13,29,32,33,37,49,50,51,52,53,54,58,60,
63,113,123,136,152,153,164,165,168,170,172,177,182,195,209,310,341,382,386,
401,418,427,650],[1,2,4,7,12,13,15,28,30,39,40,43,44,60,61,64,72,109,110,125,
131,139,208,216,220,224,235,294,334,358,438,449,651],[1,2,3,4,7,9,10,13,14,29,
30,33,37,42,49,50,52,53,56,58,63,66,112,136,137,158,170,172,174,177,182,186,
196,197,209,211,299,307,352,392,402,404,418,652],[1,2,4,7,8,9,12,13,17,30,32,
39,49,51,53,55,74,110,132,134,156,165,179,192,195,203,221,277,363,374,653],[1,
2,3,4,7,8,9,10,12,13,31,32,33,34,37,47,49,51,53,54,58,60,63,113,137,138,143,
148,152,158,172,177,178,179,195,206,222,340,341,382,393,404,417,420,654],[1,2,
3,4,7,9,10,12,13,14,16,28,29,30,33,35,36,37,39,45,50,52,53,57,58,60,63,73,112,
130,135,136,137,139,155,158,159,170,173,185,194,200,295,307,328,378,396,397,
399,655],[1,2,3,4,7,9,10,12,13,14,33,36,42,49,51,53,54,56,57,58,60,63,66,116,
123,137,152,165,172,174,177,181,186,195,200,205,219,223,297,372,386,391,394,
404,406,656],[1,2,3,7,9,10,12,14,29,33,37,39,42,49,50,52,53,54,56,63,66,115,
123,136,143,164,172,174,177,182,191,196,205,209,211,313,327,352,373,401,406,
418,657],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,30,32,33,34,36,37,38,39,42,45,47,
48,50,51,52,55,56,57,59,60,62,65,66,67,68,69,70,71,73,75,104,111,113,114,116,
121,122,124,126,127,128,129,130,131,133,134,139,146,147,150,154,155,161,171,
175,184,185,189,202,226,230,232,234,301,306,312,320,322,348,356,357,360,365,
368,376,383,398,426,658],[1,2,3,4,7,9,10,12,13,14,33,36,42,49,51,53,54,56,57,
58,60,63,66,116,123,137,152,172,174,177,179,181,191,195,197,200,219,223,297,
372,392,393,394,401,419,659],[1,2,3,7,9,10,12,14,16,33,35,36,37,39,45,49,50,
52,53,57,65,66,75,116,121,123,133,135,137,147,163,169,173,185,198,207,219,223,
297,325,333,344,370,390,397,660],[1,2,3,4,7,8,9,10,12,13,14,18,28,30,32,33,34,
36,39,42,44,50,51,55,58,60,62,65,67,68,69,70,71,73,75,104,109,110,112,122,125,
126,128,130,131,133,134,135,139,146,147,150,154,155,161,171,175,193,212,226,
230,292,305,308,328,332,334,346,348,350,357,360,362,369,376,385,661],[1,2,3,7,
8,9,10,12,14,16,29,31,33,34,36,37,38,39,45,47,50,52,57,63,65,66,75,116,118,
121,133,135,136,138,145,147,159,160,169,184,196,211,213,217,314,325,335,355,
395,396,413,662],[1,2,3,4,7,8,9,10,12,13,14,16,18,30,32,33,36,37,38,39,45,47,
48,51,52,55,56,58,59,62,65,66,67,68,69,70,71,73,75,111,112,114,121,122,124,
125,127,128,132,133,134,146,147,150,154,155,161,171,175,189,202,210,214,232,
234,303,308,320,345,346,350,356,362,368,383,400,403,424,663],[1,2,3,4,7,8,9,
10,12,13,14,18,29,32,33,37,42,48,49,50,51,52,54,56,58,60,62,63,66,70,71,75,
113,123,136,152,162,166,172,174,188,191,196,197,202,211,214,230,310,316,352,
381,382,406,419,664],[1,2,3,4,7,9,10,12,13,14,15,18,29,30,33,37,42,43,49,50,
51,52,53,54,56,58,60,61,62,64,66,70,71,75,112,136,137,152,153,158,164,166,167,
168,170,174,177,179,186,188,195,197,199,202,205,208,214,230,307,339,354,381,
391,393,402,427,446,456,468,665],[1,2,3,4,7,9,12,13,14,33,35,42,49,51,53,54,
56,58,60,63,66,105,123,152,165,172,174,177,191,194,195,197,198,204,207,287,
349,361,386,401,406,419,666],[1,2,3,4,7,8,9,10,12,13,31,33,34,37,47,49,51,53,
54,58,60,63,103,123,138,143,148,152,158,165,172,177,178,195,206,222,298,337,
386,388,401,417,420,667],[1,2,3,4,7,9,10,12,13,14,33,36,39,40,51,54,58,60,61,
64,65,72,110,115,133,150,152,161,176,199,216,220,227,228,315,336,353,449,450,
668],[1,2,3,7,8,9,10,12,14,16,29,32,33,35,36,37,39,45,47,49,50,52,54,57,62,63,
66,67,75,115,118,119,120,121,123,127,136,142,143,147,154,159,163,164,169,173,
180,181,182,183,185,188,204,206,207,211,213,219,309,327,379,390,407,413,414,
442,445,457,465,669],[1,2,4,7,8,9,12,13,32,33,39,40,44,51,54,58,60,61,64,72,
109,115,128,132,152,171,176,199,216,220,224,235,315,317,353,438,462,670],[1,2,
3,4,7,8,9,10,12,13,14,18,31,33,34,37,42,47,49,51,54,56,58,60,63,66,67,68,71,
75,103,123,138,144,152,172,174,183,191,197,202,210,213,217,226,279,298,388,
406,416,419,428,671],[1,2,3,4,7,8,9,10,12,13,14,30,32,33,36,37,38,39,44,47,48,
51,52,54,55,56,62,65,66,67,68,70,73,75,109,113,114,115,121,124,125,127,128,
129,132,133,134,135,146,147,150,154,155,161,171,175,183,188,193,212,300,309,
312,317,332,345,346,356,371,380,385,400,403,424,426,672],[1,2,4,7,9,11,13,17,
30,33,41,58,63,74,102,112,129,172,203,274,299,422,673],[1,2,4,7,11,12,13,28,
30,39,41,60,72,102,125,131,139,216,278,358,411,674],[1,2,3,4,7,8,9,10,12,13,
14,15,18,30,31,33,34,37,42,43,47,49,51,53,54,56,58,60,61,64,66,67,68,71,75,
112,123,138,143,144,148,152,158,165,167,168,174,177,178,183,186,191,195,197,
199,202,208,210,226,296,339,351,386,402,417,419,428,446,460,470,675],[1,2,4,7,
9,11,12,13,15,17,30,33,41,43,51,54,58,60,61,64,74,76,102,112,129,152,167,199,
203,208,225,233,274,339,422,443,453,676],[1,2,3,7,8,9,12,14,29,31,32,33,39,42,
48,56,63,66,106,113,128,132,149,162,171,174,211,217,316,319,384,410,448,677],[
1,2,3,4,7,9,10,12,13,14,18,29,33,35,37,42,49,50,51,52,53,54,56,57,58,60,62,63,
66,70,71,75,105,119,136,152,153,163,164,166,168,170,172,173,174,177,182,188,
194,196,198,202,204,207,209,211,214,230,282,349,352,361,381,418,427,433,434,
457,467,678],[1,2,3,4,7,8,9,10,12,13,14,17,30,32,36,39,44,49,51,53,55,62,65,
67,73,74,109,133,134,154,155,156,165,179,192,193,195,203,212,221,332,363,374,
458,475,679],[1,2,3,7,8,9,10,12,14,32,33,36,37,38,39,49,53,62,63,67,113,114,
128,149,154,161,177,312,341,410,680],[1,2,3,7,8,9,10,12,14,16,31,32,33,34,35,
36,37,38,39,45,47,50,52,53,57,62,63,67,113,117,127,132,135,137,138,142,145,
154,157,159,160,163,173,184,209,222,300,340,366,389,395,397,425,681],[1,2,3,4,
7,9,10,12,13,14,15,17,18,28,30,33,36,39,40,43,50,60,61,64,69,71,74,77,122,129,
130,139,161,203,208,220,229,231,294,301,347,443,455,682],[1,2,3,4,7,8,9,10,12,
13,14,17,28,30,32,34,36,39,50,60,65,68,70,74,126,131,132,133,139,146,203,326,
347,411,683],[1,2,3,4,7,9,10,12,13,29,33,37,49,50,51,52,53,54,58,60,63,103,
136,137,152,153,164,168,170,172,177,179,182,195,209,331,337,388,393,404,418,
427,684],[1,2,4,7,12,13,17,28,30,39,44,60,74,109,110,125,131,139,203,334,347,
411,685],[1,2,3,4,7,8,9,10,12,13,14,15,29,30,31,32,36,39,40,43,48,49,51,53,54,
55,56,58,60,61,62,64,67,68,70,106,124,134,140,141,144,146,148,151,154,156,164,
165,166,167,170,176,178,179,186,191,195,197,199,201,205,208,220,321,351,354,
374,375,387,409,421,435,460,468,686],[1,2,4,7,8,9,12,13,15,17,30,32,33,39,40,
43,51,54,55,58,60,61,64,74,125,129,134,135,140,141,151,167,171,176,192,199,
203,208,220,221,338,363,375,443,447,687],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,
33,34,36,39,44,50,51,54,55,60,62,67,68,70,73,75,107,109,110,115,125,126,128,
129,130,131,132,134,135,139,146,147,150,154,155,161,171,175,280,317,329,334,
338,346,360,369,371,376,377,385,400,408,688],[1,2,3,7,8,9,10,12,14,32,33,36,
37,38,39,42,48,56,62,63,66,67,113,114,128,149,154,161,162,174,196,213,312,316,
359,410,448,689],[1,2,3,4,7,8,9,10,11,12,13,14,15,17,18,30,32,36,39,40,41,43,
51,54,55,58,60,61,64,68,69,70,71,73,74,76,77,102,122,134,140,141,146,151,155,
167,176,190,192,199,203,208,218,220,221,225,229,231,233,302,363,375,436,453,
454,455,476,690],[1,2,3,4,7,8,9,10,13,14,30,31,33,34,37,42,47,49,53,56,58,63,
66,112,123,138,168,172,174,177,178,186,197,206,213,217,222,296,299,401,402,
406,416,420,691],[1,2,3,7,8,9,10,12,14,16,31,32,33,34,35,36,37,38,39,45,47,49,
50,52,57,63,103,117,123,127,135,138,142,145,157,159,160,161,163,171,173,182,
184,206,298,318,370,389,395,407,423,692],[1,2,3,4,7,8,9,10,12,13,14,16,18,30,
32,33,36,39,45,47,48,52,54,56,57,59,62,65,66,67,68,69,70,71,73,75,110,111,115,
116,121,122,124,125,127,128,129,133,135,146,147,150,154,155,161,171,175,183,
188,232,234,292,309,325,336,346,350,356,365,368,369,371,380,383,398,693],[1,2,
3,4,7,8,9,10,12,13,14,16,28,30,31,32,33,34,35,36,37,38,39,45,47,49,50,52,57,
58,60,63,73,112,123,126,130,135,138,139,155,157,159,168,173,178,180,184,185,
194,200,296,328,364,370,395,399,412,694],[1,2,3,4,7,8,9,10,12,13,14,15,28,30,
32,34,36,39,40,43,50,60,61,64,65,68,70,72,126,132,133,139,146,208,216,220,227,
228,294,326,358,450,462,695],[1,2,3,4,7,8,9,10,12,13,14,18,31,33,34,35,37,42,
47,49,51,53,54,56,58,60,63,66,67,68,71,75,105,117,120,138,143,144,148,152,158,
172,174,177,178,183,194,198,202,204,206,207,210,213,217,222,226,271,349,361,
416,417,420,428,439,442,472,473,696],[1,2,3,4,7,8,9,10,12,13,14,16,18,29,31,
33,34,36,37,38,42,45,47,49,50,51,52,53,54,56,57,58,60,63,66,67,68,71,75,116,
118,136,138,144,145,152,153,160,164,168,169,170,172,174,177,181,183,184,196,
200,202,206,210,211,219,222,223,226,335,352,372,394,420,427,428,444,445,466,
471,697],[1,2,3,7,8,9,10,12,14,31,33,34,37,39,42,47,49,53,54,56,63,66,115,137,
138,148,153,172,174,177,191,205,206,213,217,222,313,323,373,392,404,416,420,
698],[1,2,3,4,7,8,9,10,12,13,14,18,31,32,33,34,37,42,47,48,51,53,54,56,58,60,
63,66,67,68,71,75,113,137,138,144,152,162,172,174,183,186,202,205,210,213,217,
226,316,340,382,391,392,416,428,699],[1,2,3,4,7,8,9,10,12,13,14,15,30,32,36,
39,40,43,44,51,54,55,58,60,61,62,64,65,67,72,73,109,133,134,140,141,151,154,
155,167,176,187,193,199,208,212,215,216,220,224,227,228,235,332,375,405,431,
432,438,450,477,700],[1,2,4,7,12,13,17,28,30,39,60,72,74,101,131,139,203,216,
275,347,358,701],[1,2,3,7,8,9,10,14,16,28,29,32,33,34,35,36,37,45,48,49,50,52,
56,57,63,66,113,121,123,124,126,130,136,159,173,185,207,211,213,219,295,310,
322,364,390,413,425,702],[1,2,3,7,9,10,12,14,33,36,39,54,63,65,72,110,115,133,
150,161,172,216,313,336,353,703],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,30,32,33,
34,36,37,38,39,42,45,47,48,50,52,56,57,59,60,62,65,66,67,68,69,70,71,73,75,
104,107,111,114,116,121,122,124,126,127,129,130,131,132,133,139,146,147,150,
154,155,161,162,171,174,175,184,185,226,230,232,234,286,305,306,345,348,357,
365,368,377,380,383,398,403,408,424,704],[1,2,3,4,7,8,9,10,11,12,13,14,18,30,
32,36,39,41,49,51,53,55,68,69,70,71,72,73,102,122,134,146,155,156,165,179,187,
190,195,215,216,218,302,374,405,451,452,705],[1,2,3,4,7,8,9,10,12,13,14,18,31,
33,34,37,39,40,42,47,49,51,53,54,56,58,60,61,64,66,67,68,71,75,115,137,138,
143,144,148,152,153,158,174,176,177,178,179,183,186,191,195,199,202,205,210,
220,226,315,323,373,391,393,409,417,428,456,460,464,706],[1,2,3,4,7,8,9,10,12,
13,14,16,18,29,31,33,34,36,37,38,42,45,47,49,50,51,52,53,54,56,57,58,60,62,63,
66,70,71,75,116,118,136,138,143,145,148,152,158,160,166,169,172,174,177,178,
181,182,184,188,200,202,209,213,214,217,219,223,230,335,372,381,394,416,417,
418,429,441,463,465,707],[1,2,3,4,7,9,10,12,13,14,18,29,33,37,39,40,42,49,50,
51,52,53,54,56,58,60,61,62,64,66,70,71,75,115,123,136,143,152,153,164,165,166,
168,170,174,176,177,188,191,195,197,199,202,205,214,220,230,315,327,373,381,
386,387,419,427,464,468,470,708],[1,2,3,7,8,9,10,12,14,16,29,32,33,35,36,37,
39,45,47,49,50,52,57,62,63,67,113,118,119,120,123,127,132,135,136,142,154,159,
163,169,173,180,182,185,206,300,310,370,396,407,414,425,709],[1,2,3,4,7,9,10,
12,13,14,15,17,18,30,33,36,39,43,51,54,58,60,61,64,69,71,73,74,77,112,122,125,
152,155,167,175,199,203,208,229,231,308,339,422,447,455,710],[1,2,3,4,7,8,9,
10,12,13,14,15,18,30,32,36,37,38,39,40,43,48,49,51,53,54,55,56,58,60,61,64,69,
71,75,114,122,124,134,140,141,143,147,151,153,156,158,165,167,168,176,179,186,
189,191,195,197,199,202,205,208,220,320,367,374,375,435,446,456,464,470,711],[
1,2,4,7,8,9,12,13,15,30,32,39,40,43,51,54,55,58,60,61,64,72,110,132,134,140,
141,151,167,176,187,199,208,215,216,220,277,375,405,449,462,712],[1,2,3,4,7,
10,12,13,14,17,28,30,36,39,42,60,72,73,74,104,131,139,150,155,203,216,305,347,
358,713],[1,2,3,7,8,9,10,12,14,16,28,31,32,33,34,35,36,37,38,39,45,47,50,52,
53,54,57,63,115,126,130,131,135,137,138,148,150,153,157,159,173,180,181,184,
185,204,323,329,378,379,395,397,412,714],[1,2,3,4,7,9,10,12,13,14,17,18,30,33,
36,39,58,63,69,71,73,74,112,122,125,155,172,175,203,299,308,422,715],[1,2,3,4,
7,9,10,12,13,14,18,29,33,37,42,50,51,52,53,54,56,58,60,62,63,66,70,71,75,103,
136,137,152,166,172,174,186,188,196,202,205,211,214,230,279,331,352,381,388,
391,392,716],[1,2,3,7,8,9,10,14,16,28,31,32,33,34,35,36,37,38,45,47,48,50,52,
53,56,57,63,66,113,121,124,126,130,137,138,157,159,173,180,184,185,196,198,
217,223,322,340,344,355,378,412,425,717],[1,2,3,4,7,8,9,10,13,14,16,18,29,30,
32,33,35,36,37,45,47,50,52,53,57,58,63,66,68,69,70,71,112,118,119,120,121,122,
127,136,137,142,146,158,159,163,169,170,173,180,185,194,198,200,209,210,211,
213,214,222,223,303,307,344,366,399,413,414,433,439,441,471,718],[1,2,4,7,11,
12,13,15,17,28,30,39,40,41,43,60,61,64,74,76,102,125,139,203,208,220,225,233,
278,294,347,447,453,719],[1,2,4,7,8,9,12,13,30,32,33,39,49,51,53,55,72,125,
129,134,135,156,165,171,179,187,195,215,216,338,374,405,720],[1,2,3,7,9,10,12,
14,16,28,29,33,35,36,37,39,45,49,50,52,54,57,63,115,123,130,131,135,136,143,
150,159,164,173,181,185,204,295,327,329,364,370,379,396,721],[1,2,3,7,8,9,10,
12,14,16,29,32,33,35,36,37,39,45,47,50,52,53,57,63,103,118,119,120,127,135,
136,137,142,159,161,163,169,171,173,180,185,209,222,318,331,366,396,397,414,
423,722],[1,2,3,4,7,8,9,10,12,13,14,28,29,30,31,32,33,34,36,37,38,39,47,48,50,
51,52,55,56,60,62,65,66,67,68,70,73,75,106,107,113,114,121,124,126,127,128,
129,130,131,132,133,134,136,138,139,144,146,147,150,154,155,157,161,166,171,
175,201,285,319,321,322,326,345,356,360,376,377,380,403,408,424,426,723],[1,2,
3,7,9,10,14,16,28,29,33,35,36,37,45,50,52,53,57,63,66,103,121,130,136,137,159,
173,185,198,211,213,223,276,295,331,344,378,413,423,724],[1,2,7,8,9,12,32,33,
39,44,54,63,72,109,115,128,132,171,172,216,313,317,353,725],[1,2,3,4,7,8,9,10,
13,14,16,18,30,31,32,33,34,35,36,37,38,45,47,49,50,52,57,58,63,66,68,69,70,71,
112,117,121,122,123,127,138,142,145,146,157,159,160,163,168,173,178,182,184,
194,196,200,206,207,210,214,217,219,296,303,355,389,390,399,407,429,434,444,
473,726],[1,2,3,4,7,9,10,12,13,14,18,28,30,33,36,39,50,60,69,71,72,122,129,
130,131,139,161,216,301,358,411,727],[1,2,3,4,7,8,9,10,12,13,14,17,18,30,32,
36,37,38,39,48,51,55,56,69,71,72,74,75,114,122,124,134,147,187,189,192,202,
203,215,216,221,320,363,405,478,728],[1,2,3,7,8,9,10,14,16,28,31,32,33,34,35,
36,37,38,45,47,49,50,52,57,63,66,103,121,123,126,130,138,157,159,173,180,184,
185,196,207,217,219,276,298,355,364,390,412,423,729],[1,2,3,4,7,8,9,10,12,13,
14,16,18,31,32,34,35,36,37,38,42,45,47,48,49,50,52,53,54,55,57,58,60,62,63,66,
67,68,70,71,75,114,120,143,145,149,151,153,156,157,158,160,162,163,168,169,
180,181,182,183,184,185,188,189,194,196,198,200,201,204,206,207,209,210,213,
214,219,222,223,226,230,359,367,415,430,434,439,440,441,442,444,461,465,466,
467,469,730],[1,2,3,4,9,11,12,13,14,16,17,18,29,40,41,44,49,51,54,56,59,62,64,
65,69,70,72,73,74,164,165,166,176,191,192,193,215,218,228,229,232,233,235,342,
387,432,436,437,451,475,731],[1,2,3,4,8,9,11,12,13,14,15,16,17,18,31,41,43,44,
48,49,51,55,56,58,59,61,62,65,67,68,69,70,72,73,74,76,77,144,165,167,178,190,
192,193,197,201,212,215,218,224,225,227,231,232,234,351,431,451,454,459,474,
475,732],[1,2,3,4,7,8,9,10,12,13,14,18,29,31,32,34,35,38,42,47,48,49,50,52,53,
54,55,57,58,60,62,63,66,67,68,70,71,75,106,117,118,119,145,148,149,151,156,
157,162,164,170,178,180,181,182,183,188,189,194,198,200,201,204,206,207,209,
210,211,214,217,219,222,223,226,230,293,384,421,429,430,433,440,445,457,461,
463,469,471,472,473,733],[1,2,3,4,9,11,12,13,14,15,16,17,18,29,41,43,44,51,53,
56,58,59,61,62,65,69,70,72,73,74,76,77,166,167,170,179,186,192,193,215,218,
224,225,227,231,232,342,354,431,437,452,454,458,734],[1,2,3,4,8,9,11,12,13,14,
16,17,18,31,40,41,44,48,51,53,54,55,56,59,62,64,65,67,68,69,70,72,73,74,144,
148,176,179,190,192,193,201,205,212,215,218,228,229,232,233,234,235,409,432,
436,452,458,459,474,735],[1,2,3,5,6,7,14,20,21,22,25,42,78,80,82,83,92,93,237,
246,248,479,736],[1,2,3,5,6,7,8,10,20,22,25,34,78,80,82,83,91,94,237,241,257,
479,737],[1,2,4,5,6,7,12,13,22,23,24,60,78,80,82,83,89,90,236,249,260,263,479,
738],[1,4,5,6,11,15,17,23,24,26,76,78,81,86,87,88,96,98,236,262,267,268,269,
483,739],[1,3,4,5,6,15,17,18,20,23,24,25,26,77,78,95,98,236,237,238,480,481,
482,740],[1,2,7,19,28,101,741],[1,2,3,6,7,9,10,21,29,33,37,50,52,53,80,103,
136,137,244,331,488,742],[1,2,6,7,8,9,22,28,32,33,80,103,107,113,243,272,488,
743],[1,2,3,6,7,9,10,14,16,22,28,29,33,35,36,37,45,50,52,57,80,84,130,136,173,
185,242,243,245,247,295,744],[1,2,4,6,7,12,13,15,22,28,30,39,40,43,60,61,64,
80,85,139,208,220,243,252,254,294,745],[1,2,3,6,7,8,9,10,20,31,33,34,37,47,49,
80,103,123,138,241,298,488,746],[1,2,3,6,7,8,9,10,14,20,21,22,28,32,33,34,36,
42,50,80,83,92,93,101,104,107,126,130,241,243,244,246,273,489,501,505,747],[1,
2,4,5,7,12,13,23,28,30,39,60,82,101,131,139,263,275,485,748],[1,2,4,5,7,9,11,
13,26,30,33,41,58,82,88,102,112,129,251,274,486,749],[1,2,4,6,7,9,12,13,24,33,
51,54,58,60,63,80,103,152,172,249,388,488,750],[1,2,3,6,7,9,10,14,22,28,33,36,
50,66,80,103,121,130,243,276,488,751],[1,2,4,5,7,12,13,26,28,30,39,60,82,101,
131,139,251,275,485,752],[1,2,3,4,6,9,11,12,13,14,16,18,22,29,41,44,51,56,59,
62,65,69,70,73,81,84,166,193,218,232,245,250,253,261,342,753],[1,2,4,5,7,8,9,
12,13,26,30,32,39,51,55,82,110,132,134,251,277,490,754],[1,2,3,6,7,9,10,21,33,
35,50,52,57,63,80,103,159,173,244,423,488,755],[1,2,4,6,7,11,12,13,22,28,30,
39,41,60,80,87,102,125,139,243,278,487,756],[1,2,3,6,7,9,14,25,33,42,56,66,80,
103,174,248,279,488,757],[1,2,3,4,6,9,10,13,14,18,20,21,22,24,25,29,35,52,53,
58,63,66,70,71,89,91,92,95,97,119,170,194,198,209,211,214,245,258,433,497,509,
510,758],[1,2,3,4,5,7,10,12,13,14,26,30,36,39,73,75,82,110,147,155,251,292,
490,759],[1,2,3,6,7,8,9,10,12,14,20,21,22,28,32,33,34,36,39,50,62,67,80,90,92,
94,107,126,131,132,154,161,171,241,243,244,266,377,496,501,507,760],[1,2,4,5,
7,11,12,13,15,17,23,30,41,43,60,61,64,74,76,82,88,102,203,208,225,233,263,268,
453,486,761],[1,2,3,6,9,10,12,14,21,22,25,29,35,49,52,54,62,63,66,75,90,91,93,
119,164,182,188,204,207,211,245,256,457,494,500,510,762],[1,2,3,6,7,8,9,14,20,
21,22,29,31,32,42,48,63,66,83,92,93,106,149,162,211,217,245,246,384,494,498,
509,763],[1,2,4,6,7,11,12,13,15,17,24,30,41,43,60,61,64,74,76,80,87,102,203,
208,225,233,249,269,453,487,764],[1,2,3,6,8,9,10,12,14,20,21,22,29,47,49,54,
57,63,66,67,75,90,92,94,118,164,181,183,206,211,219,245,266,445,493,500,509,
765],[1,2,4,5,7,12,13,23,39,40,60,61,64,72,82,110,216,220,263,449,490,766],[1,
2,3,4,6,7,8,9,10,12,13,14,18,20,21,22,24,25,28,30,32,34,36,39,42,50,60,62,67,
68,69,70,71,75,80,89,91,92,95,97,104,122,126,139,146,147,154,226,230,241,243,
244,248,249,258,348,495,501,508,513,515,767],[1,2,4,6,7,9,12,13,22,24,33,35,
51,54,58,60,63,83,89,90,105,152,172,194,204,242,260,361,502,503,511,768],[1,2,
3,6,8,9,10,12,14,21,22,25,31,35,47,53,54,63,66,67,75,90,91,93,117,148,183,198,
204,217,222,242,256,472,506,511,512,769],[1,2,3,4,6,7,8,9,10,12,13,14,21,22,
24,28,30,32,33,36,39,50,60,68,70,80,89,93,94,107,129,130,139,146,171,175,243,
244,249,265,408,496,505,508,770],[1,2,4,6,7,12,13,22,24,28,30,39,60,80,83,89,
90,101,131,139,243,249,260,275,489,507,508,771],[1,2,3,6,7,8,9,10,22,25,29,31,
32,34,35,38,47,50,52,57,83,91,94,106,117,118,119,145,157,180,245,257,293,493,
498,510,772],[1,2,3,6,7,9,14,20,21,22,33,35,42,49,53,56,66,83,92,93,105,174,
177,198,207,242,246,349,503,504,512,773],[1,2,3,4,6,8,9,10,13,14,18,21,22,24,
29,47,53,57,58,63,66,68,71,89,93,94,118,170,200,210,211,222,223,245,265,471,
493,494,497,774],[1,2,4,6,7,8,9,12,13,22,24,29,31,32,49,53,54,55,58,60,83,89,
90,106,148,151,156,164,170,178,245,260,421,497,498,500,775],[1,2,3,6,7,8,9,10,
22,25,31,33,34,35,37,47,83,91,94,105,117,120,138,242,257,271,499,503,506,
776],[1,2,3,4,6,8,9,10,13,14,18,21,22,24,35,37,47,53,58,63,66,68,71,89,93,94,
120,158,194,198,210,213,222,242,265,439,499,502,512,777],[1,2,3,6,7,9,10,12,
14,21,22,25,28,33,36,39,42,50,65,75,80,90,91,93,104,130,131,133,147,161,175,
243,244,248,256,357,495,505,507,778],[1,2,3,6,8,9,10,12,14,20,21,22,35,37,47,
49,54,63,66,67,75,90,92,94,120,143,183,204,206,207,213,242,266,442,499,504,
511,779],[1,2,3,6,7,8,9,10,14,22,25,28,32,33,34,36,42,50,80,83,91,94,101,104,
107,126,130,243,248,257,273,489,495,496,780],[1,2,3,4,6,8,9,10,13,14,18,20,21,
22,24,25,31,35,47,49,58,63,66,68,71,89,91,92,95,97,117,178,194,206,207,210,
217,242,258,473,502,504,506,781],[1,2,3,6,7,8,9,10,14,16,22,25,34,36,37,38,45,
46,47,50,52,57,59,83,84,91,94,108,111,142,160,169,184,185,247,255,257,261,343,
517,520,528,782],[1,2,4,6,7,11,12,13,15,17,22,24,30,41,43,60,61,64,74,76,81,
83,89,90,102,203,208,225,233,253,260,262,453,491,523,524,783],[1,2,3,4,6,8,11,
12,13,14,15,17,18,21,22,24,41,43,55,64,68,69,73,74,76,77,85,89,93,94,141,190,
221,225,229,231,233,254,259,264,265,476,519,526,530,784],[1,2,4,5,7,11,12,13,
15,17,23,26,30,41,43,60,61,64,74,76,82,86,96,98,102,203,208,225,233,251,263,
267,453,492,522,525,785],[1,2,4,6,7,12,13,22,24,39,40,44,60,61,64,72,83,89,90,
109,216,220,224,235,250,260,438,514,518,521,786],[1,2,3,4,6,8,12,13,14,20,21,
22,40,44,55,61,65,67,72,73,90,92,94,140,187,212,224,227,228,235,252,266,477,
516,527,529,787],[1,2,3,10,16,27,45,46,99,108,533,788],[1,2,7,27,28,99,101,
532,789],[1,4,5,11,15,17,19,23,26,76,79,88,98,239,268,534,790],[1,3,4,6,15,17,
18,19,21,24,25,77,79,85,97,239,264,536,791],[1,4,5,11,15,17,19,23,26,76,79,88,
98,239,268,535,792],[1,2,3,7,8,9,10,14,16,28,29,31,32,33,34,35,36,37,38,42,45,
46,47,50,52,57,59,101,104,105,106,107,108,111,114,116,117,118,119,120,126,127,
130,136,138,142,145,157,160,163,169,173,180,184,185,271,273,282,283,285,293,
295,306,333,335,343,389,412,414,415,544,546,572,575,793],[1,2,3,7,8,9,10,14,
28,32,33,34,36,42,48,50,56,66,101,103,104,107,113,121,124,126,130,162,174,272,
273,276,279,286,316,322,538,541,542,794],[1,2,3,7,8,9,10,12,29,31,32,33,34,35,
37,39,44,47,53,54,105,106,109,113,115,117,120,128,132,137,138,148,153,171,271,
281,289,317,319,323,340,543,553,571,795],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,
30,32,33,35,36,39,41,47,50,51,52,54,55,57,58,60,66,68,69,70,71,73,102,103,105,
107,112,113,115,116,121,122,125,127,129,130,134,135,139,146,151,152,155,161,
171,173,175,180,190,210,214,218,272,274,276,278,281,283,284,288,290,291,301,
302,303,304,308,318,328,338,362,371,380,398,408,426,539,557,563,578,585,587,
621,796],[1,2,3,4,7,8,9,10,11,13,30,31,33,34,35,37,41,47,49,58,102,103,105,
112,117,120,123,129,138,168,178,271,274,284,287,296,298,539,555,558,797],[1,2,
3,4,7,8,9,10,12,13,14,15,28,30,32,33,34,36,39,40,42,43,50,51,54,55,58,60,61,
64,73,101,104,107,112,115,126,128,130,131,134,135,139,140,141,150,151,152,155,
167,176,199,208,220,273,275,280,291,294,305,315,328,329,339,360,375,411,545,
551,573,574,576,798],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,32,33,34,36,39,41,
42,44,50,51,54,55,58,60,62,65,67,68,69,70,71,73,75,101,102,104,107,109,110,
112,115,122,125,126,128,129,130,131,132,133,134,135,139,146,147,150,151,152,
154,155,161,171,175,190,193,212,218,226,230,273,274,275,277,278,280,291,292,
301,302,305,308,317,326,328,329,332,334,336,338,346,348,350,357,360,362,369,
371,376,377,385,400,408,540,573,587,591,596,616,644,661,688,799],[1,2,3,7,8,9,
10,14,28,32,33,34,36,42,49,50,53,63,101,104,107,123,126,130,137,149,156,159,
172,177,273,311,324,364,378,401,404,548,613,639,800],[1,2,3,7,8,9,10,12,14,16,
31,33,34,35,36,37,39,44,45,47,59,63,66,75,105,109,111,117,120,121,135,138,147,
150,159,161,175,196,217,271,304,330,355,383,385,395,549,599,605,801],[1,2,3,4,
7,9,11,13,14,30,33,35,41,42,49,53,56,58,66,102,103,105,112,129,174,177,186,
197,198,207,274,279,284,337,349,402,539,579,615,802],[1,2,3,4,7,8,9,10,12,13,
14,15,18,28,29,30,31,32,33,34,36,37,38,39,40,42,43,47,48,49,50,51,52,53,54,55,
56,58,60,61,62,64,66,67,68,69,70,71,75,104,106,107,112,114,115,121,122,123,
124,126,127,134,136,137,138,139,140,141,143,144,146,147,148,151,152,153,154,
156,157,158,162,164,165,166,167,168,170,174,176,177,178,179,183,186,188,189,
191,195,197,199,201,202,205,208,210,214,220,226,230,285,286,291,294,296,303,
307,309,315,320,321,323,324,327,339,348,351,354,367,373,374,375,381,386,387,
391,393,402,409,417,419,421,427,428,435,446,456,460,464,468,469,470,545,561,
562,592,617,665,675,686,706,708,711,803],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,
33,35,36,39,47,50,51,52,53,54,55,57,58,60,63,68,70,103,105,107,112,113,115,
116,127,129,130,134,137,139,146,151,152,159,171,173,175,180,209,222,272,281,
283,284,288,289,290,291,330,366,378,408,426,557,559,571,611,618,804],[1,2,3,4,
7,8,9,10,12,13,14,18,28,29,30,31,32,33,34,36,37,38,39,42,47,48,50,51,52,54,55,
56,58,60,62,63,66,67,68,69,70,71,75,104,106,107,112,114,115,121,122,124,126,
127,128,131,134,135,136,138,139,144,146,147,149,151,152,154,157,159,162,166,
172,174,183,188,189,201,202,210,214,226,230,280,285,286,291,299,303,309,311,
313,320,321,348,381,395,396,411,428,448,469,551,556,562,594,606,805],[1,2,3,4,
7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,49,50,51,52,53,54,55,57,58,60,68,70,
103,105,107,112,113,115,116,123,127,129,130,134,137,139,146,151,152,156,171,
173,175,177,180,272,281,283,284,288,290,291,324,337,341,408,426,557,565,615,
637,806],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,50,51,52,54,55,57,
58,60,63,68,70,103,105,107,112,113,115,116,127,129,130,134,139,146,149,151,
152,159,171,172,173,175,180,272,281,283,284,288,290,291,311,408,410,426,557,
564,626,628,807],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,49,50,51,
52,54,55,57,58,60,63,68,70,103,105,107,112,113,115,116,123,127,129,130,134,
139,146,151,152,159,171,173,175,180,182,206,272,281,283,284,287,288,290,291,
330,364,407,408,426,554,555,557,598,631,808],[1,2,3,7,8,9,10,12,14,28,29,31,
32,33,34,36,37,38,39,42,47,48,50,52,56,62,63,66,67,103,104,106,107,113,114,
121,124,126,127,128,131,132,135,136,138,149,154,157,159,161,162,171,172,174,
196,211,213,217,272,279,280,285,286,300,311,312,316,318,319,352,355,359,377,
384,410,413,416,448,542,564,570,580,594,677,689,809],[1,2,3,4,7,8,9,10,12,13,
14,28,30,32,33,35,36,39,47,50,51,52,54,55,57,58,60,63,68,70,103,105,107,112,
113,115,116,127,129,130,134,139,146,149,151,152,159,171,172,173,175,180,272,
281,283,284,288,290,291,311,382,388,408,410,423,425,426,538,557,564,607,623,
810],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,31,32,33,34,35,36,37,38,39,45,47,
49,50,51,52,53,54,55,57,58,60,68,70,103,105,106,107,112,113,114,115,116,117,
118,119,120,123,126,127,129,130,134,136,137,138,139,142,143,145,146,148,151,
152,153,156,157,158,160,163,164,168,169,170,171,173,175,177,178,180,184,185,
271,272,281,282,283,284,285,287,288,289,290,291,293,296,297,298,307,310,323,
324,327,331,335,340,367,389,408,412,414,415,417,421,426,427,552,553,557,558,
560,569,572,592,610,620,641,811],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,32,33,
35,36,37,39,45,47,50,51,52,54,55,57,58,60,63,68,70,103,105,107,112,113,115,
116,118,119,120,127,129,130,134,136,139,142,146,149,151,152,159,163,169,171,
172,173,175,180,181,185,194,200,204,272,281,282,283,284,288,290,291,295,311,
314,330,333,361,379,394,399,408,414,423,425,426,440,546,557,567,601,609,623,
624,634,640,812],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,50,51,52,
54,55,57,58,60,68,70,72,103,105,107,112,113,115,116,127,129,130,134,139,146,
151,152,171,173,175,180,187,215,216,272,281,283,284,288,290,291,353,358,405,
408,426,557,625,632,643,813],[1,2,3,7,8,9,10,12,14,31,32,33,34,35,36,37,38,39,
47,53,54,62,63,65,66,67,105,110,113,114,115,117,120,121,128,133,135,137,138,
148,150,153,154,159,161,171,175,196,217,271,281,289,304,312,323,330,336,340,
355,369,395,424,553,559,568,599,602,814],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,
33,35,36,39,47,49,50,51,52,53,54,55,57,58,60,68,70,103,105,107,112,113,115,
116,123,127,128,129,130,131,134,135,137,139,146,151,152,156,165,171,173,175,
177,179,180,195,272,280,281,283,284,288,290,291,324,370,374,386,393,397,408,
411,426,551,557,561,612,642,815],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,34,36,
39,42,49,50,51,53,54,55,58,60,63,73,101,104,107,112,115,123,126,128,130,131,
134,135,137,139,149,150,151,152,155,156,159,165,172,177,179,195,273,275,280,
291,299,305,311,313,324,328,329,360,364,374,378,386,393,556,561,573,589,613,
816],[1,2,3,7,8,9,10,12,14,29,32,33,35,36,37,38,39,49,50,52,53,54,57,62,65,66,
67,105,110,113,114,115,119,121,123,128,133,135,136,137,143,150,154,161,163,
164,171,173,175,198,223,281,282,287,289,304,310,312,327,336,344,369,397,424,
560,568,571,581,619,817],[1,2,3,7,8,9,10,14,28,32,33,34,36,42,48,49,50,53,56,
63,66,101,103,104,107,113,121,123,124,126,130,137,149,156,159,162,172,174,177,
272,273,276,286,311,322,324,337,341,364,378,392,406,410,541,564,565,613,635,
818],[1,2,3,4,7,8,9,10,12,13,14,18,30,31,33,34,35,36,37,39,47,49,54,57,58,63,
66,69,71,73,103,105,112,115,116,117,120,121,122,123,125,129,135,138,155,159,
161,168,175,178,196,217,271,284,287,290,296,298,304,308,330,355,371,395,398,
554,558,563,599,614,819],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,32,33,
34,35,36,37,38,39,42,45,47,48,50,51,52,54,55,56,57,58,59,60,62,65,66,67,68,69,
70,71,73,75,101,103,104,105,106,107,111,112,113,114,115,116,121,122,124,126,
127,128,129,130,131,132,133,134,135,136,138,139,144,146,147,150,151,152,154,
155,157,161,162,166,171,173,174,175,180,183,184,185,188,189,201,202,210,214,
226,230,232,234,272,273,275,276,280,281,283,284,285,286,288,290,291,295,300,
301,303,304,305,306,309,312,318,319,320,321,322,325,326,328,329,345,348,356,
357,360,365,368,376,377,380,381,383,398,403,408,412,424,426,428,469,541,544,
557,562,566,570,573,586,593,616,621,638,658,704,723,820],[1,2,3,7,8,9,10,12,
14,16,28,29,32,33,35,36,37,39,42,45,47,48,49,50,52,53,56,57,65,66,75,104,105,
107,116,118,119,120,121,123,124,127,128,130,131,133,135,136,137,142,147,156,
161,162,163,169,173,174,175,177,180,185,198,207,219,223,280,282,283,286,287,
289,295,297,304,324,325,333,344,349,356,357,370,372,390,397,414,430,546,566,
569,581,590,604,642,660,821],[1,2,3,7,8,9,10,12,14,16,28,29,31,32,33,34,35,36,
37,38,39,42,45,47,48,50,52,56,57,63,65,66,75,104,105,106,107,114,116,117,118,
119,120,121,124,126,127,128,130,131,133,135,136,138,142,145,147,149,157,159,
160,161,162,163,169,172,173,174,175,180,184,185,196,211,213,217,271,280,282,
283,285,286,293,304,311,314,325,330,335,352,355,356,357,359,384,389,395,396,
412,413,414,415,416,566,567,572,580,599,606,627,662,822],[1,2,3,4,7,8,9,10,12,
13,14,15,28,30,32,33,35,36,39,40,43,47,50,51,52,54,55,57,58,60,61,63,64,68,70,
103,105,107,112,113,115,116,127,129,130,134,139,140,141,146,149,151,152,159,
167,171,172,173,175,176,180,181,194,199,200,204,208,220,272,281,283,284,288,
290,291,294,299,311,313,315,339,361,375,379,382,388,394,399,408,426,440,545,
556,557,577,584,600,603,607,640,823],[1,2,3,7,8,9,10,12,14,28,29,31,32,33,34,
36,37,38,39,47,49,50,52,53,62,67,103,106,107,113,114,123,126,127,128,131,132,
135,136,137,138,154,156,157,161,171,177,272,280,285,298,300,310,312,318,319,
324,331,337,340,341,377,538,565,570,612,620,824],[1,2,3,7,8,9,10,14,16,28,29,
31,32,33,34,35,36,37,38,42,45,47,49,50,52,53,57,59,63,101,104,105,106,107,111,
114,116,123,126,127,130,136,137,138,149,156,157,159,172,173,177,180,182,184,
185,206,209,222,273,283,285,287,289,295,297,306,311,314,324,330,364,366,378,
407,412,418,420,461,544,567,569,598,611,613,622,645,825],[1,2,3,7,8,9,10,12,
29,31,32,33,35,37,39,44,49,50,52,54,57,63,105,106,109,113,115,119,123,128,132,
136,143,159,163,164,171,173,181,204,281,282,287,310,317,319,327,330,379,425,
543,559,560,631,634,826],[1,2,3,4,7,9,10,11,13,29,30,33,35,37,41,50,52,53,57,
58,63,102,103,105,112,119,129,136,137,158,159,163,170,173,194,200,274,282,284,
289,307,330,331,399,423,539,552,554,609,618,827],[1,2,3,4,7,8,9,10,12,13,14,
28,29,30,31,32,33,34,35,36,37,38,39,44,47,48,50,51,52,54,55,56,57,58,60,62,65,
66,67,68,70,73,75,103,105,106,107,109,110,112,113,114,115,116,121,124,125,126,
127,128,129,130,131,132,133,134,135,136,138,139,144,146,147,150,151,152,154,
155,157,161,166,171,173,175,180,183,188,193,201,212,272,277,280,281,283,284,
285,288,290,291,300,304,309,312,317,318,319,321,322,326,329,332,334,336,338,
345,346,356,360,362,365,369,371,376,377,380,385,400,403,408,424,426,543,557,
568,570,582,585,591,593,595,597,672,688,723,828],[1,2,3,4,7,8,9,10,12,13,14,
28,30,32,33,35,36,39,42,47,48,49,50,51,52,53,54,55,56,57,58,60,66,68,70,103,
104,105,107,112,113,115,116,121,123,124,127,129,130,134,137,139,146,151,152,
156,162,171,173,174,175,177,180,186,191,197,198,205,207,219,223,272,279,281,
283,284,286,288,290,291,316,324,337,341,344,349,372,373,390,391,402,408,419,
426,430,435,542,557,565,579,588,590,617,630,636,829],[1,2,3,4,7,8,9,10,12,13,
14,17,28,30,32,33,35,36,39,47,50,51,52,54,55,57,58,60,68,70,74,103,105,107,
112,113,115,116,127,129,130,134,139,146,151,152,171,173,175,180,192,203,221,
272,281,283,284,288,290,291,347,363,408,422,426,557,583,608,629,830],[1,2,3,4,
7,9,10,12,13,14,18,29,30,33,35,36,37,39,49,50,52,53,54,57,58,66,69,71,73,103,
105,112,115,116,119,121,122,123,125,129,135,136,137,155,158,161,163,170,173,
175,207,219,282,284,287,289,290,304,307,308,331,370,371,390,398,552,555,563,
604,619,831],[1,2,3,7,8,9,10,12,14,16,28,29,31,32,33,34,35,36,37,38,39,45,47,
49,50,52,53,57,62,63,67,103,105,106,107,113,114,116,117,118,119,120,123,126,
127,128,130,131,132,135,136,137,138,142,145,149,154,156,157,159,160,161,163,
169,171,172,173,177,180,182,184,185,206,209,222,271,272,280,282,283,285,293,
298,300,310,311,312,318,319,324,331,335,340,366,370,377,389,395,396,397,407,
412,414,415,418,420,423,425,461,570,572,606,620,622,623,642,681,692,709,722,
832],[1,2,3,7,8,9,12,14,29,31,32,33,35,39,42,44,48,49,53,54,56,63,66,105,106,
109,113,115,128,132,149,162,171,174,177,191,198,205,207,211,217,281,316,317,
319,341,349,373,384,410,448,543,588,628,647,677,833],[1,2,3,4,7,8,9,10,12,13,
14,17,18,28,29,30,31,32,33,34,36,37,38,39,42,47,48,50,51,52,54,55,56,58,60,62,
66,67,68,69,70,71,72,74,75,104,106,107,112,114,115,121,122,124,126,127,134,
136,138,139,144,146,147,151,152,154,157,162,166,174,183,187,188,189,192,201,
202,203,210,214,215,216,221,226,230,285,286,291,303,309,320,321,347,348,353,
358,363,381,405,422,428,437,459,469,478,562,625,629,648,728,834],[1,2,3,7,8,9,
12,14,32,33,35,39,42,48,49,53,54,56,63,66,72,105,113,115,159,162,171,174,177,
191,198,205,207,216,281,316,330,341,349,353,373,559,588,632,835],[1,2,3,4,7,8,
9,10,12,13,14,17,28,30,32,33,34,36,39,44,49,50,51,53,54,55,58,60,62,65,67,68,
70,73,74,107,109,110,112,115,123,125,126,128,131,132,133,134,137,139,146,150,
151,152,154,155,156,161,165,171,177,179,192,193,195,203,212,221,277,291,317,
324,326,332,334,336,347,360,362,363,374,377,386,393,400,422,458,475,561,591,
629,653,679,836],[1,2,3,4,7,8,9,10,12,13,14,29,30,32,33,35,36,37,39,47,50,51,
52,53,54,55,57,58,63,66,68,70,73,103,105,112,113,115,119,121,125,127,129,134,
135,136,137,146,155,158,159,161,163,170,171,173,175,181,198,204,223,281,282,
284,289,304,307,318,330,331,338,344,362,371,379,380,397,425,426,552,571,581,
585,602,618,634,837],[1,2,4,7,9,11,12,13,15,17,30,33,35,41,43,51,54,58,60,61,
63,64,74,76,102,103,105,112,129,152,167,172,194,199,203,204,208,225,233,274,
284,299,339,361,388,422,443,453,539,583,584,673,676,838],[1,2,3,7,8,9,10,12,
14,28,32,33,34,35,36,39,47,48,49,50,52,53,54,56,57,62,63,66,67,75,105,107,113,
115,116,121,123,124,126,127,130,131,132,135,137,147,150,154,156,159,161,171,
173,175,177,180,183,188,209,222,281,283,287,289,297,300,304,309,322,324,329,
330,365,366,376,377,378,403,569,571,593,602,611,619,631,839],[1,2,3,7,8,9,10,
12,14,28,32,33,35,36,39,42,47,48,49,50,52,53,56,57,63,65,66,75,104,105,107,
116,121,123,124,127,128,130,131,133,135,137,147,159,161,162,173,174,175,180,
182,206,209,222,280,283,286,287,289,304,325,330,356,357,364,366,378,407,566,
598,602,605,611,614,619,840],[1,2,3,7,8,9,12,14,32,33,35,39,42,48,49,53,54,56,
66,72,105,113,115,137,162,171,174,177,191,198,205,207,216,281,289,316,341,349,
353,373,571,588,632,841],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,32,33,35,
36,37,39,45,47,50,52,53,57,58,60,63,66,68,69,70,71,73,103,105,107,112,116,118,
119,120,121,122,127,129,130,135,136,137,139,142,146,155,158,159,161,163,169,
170,171,173,175,180,185,194,198,200,209,210,211,213,214,222,223,276,282,283,
284,289,295,301,303,304,307,318,328,330,331,333,344,366,378,380,396,397,398,
399,408,413,414,423,433,439,441,471,546,552,581,609,611,621,627,655,718,722,
724,842],[1,2,3,7,8,9,10,12,14,28,32,33,35,36,39,47,49,50,52,53,57,63,103,105,
107,113,116,123,127,128,130,131,135,137,149,156,159,172,173,177,180,272,280,
283,287,289,297,311,324,337,341,370,397,401,404,423,425,565,569,589,612,623,
639,642,843],[1,2,3,4,7,8,9,10,12,13,14,29,30,32,33,35,36,37,39,47,50,51,52,
54,55,57,58,63,66,68,70,73,103,105,112,113,115,119,121,125,127,129,134,135,
136,146,155,159,161,163,171,173,175,181,194,200,204,211,213,281,282,284,304,
318,330,338,362,371,379,380,396,399,413,423,425,426,554,559,585,605,609,627,
634,844],[1,2,3,4,7,8,9,10,11,12,13,14,15,17,18,28,30,32,33,36,39,40,41,43,50,
51,54,55,58,60,61,64,68,69,70,71,73,74,76,77,102,107,112,115,122,125,129,130,
134,135,139,140,141,146,151,152,155,161,167,171,175,176,190,192,199,203,208,
218,220,221,225,229,231,233,274,278,291,294,301,302,308,315,328,338,339,347,
362,363,371,375,408,422,436,443,447,453,454,455,476,545,587,629,676,682,687,
690,710,719,845],[1,2,3,4,7,8,9,10,12,13,14,18,31,32,33,34,35,37,39,40,42,47,
48,49,51,53,54,56,58,60,61,63,64,66,67,68,71,75,105,113,115,117,120,137,138,
143,144,148,152,153,158,162,171,172,174,176,177,178,179,183,186,191,194,195,
198,199,202,204,205,206,207,210,213,217,220,222,226,271,281,289,313,315,316,
323,340,341,349,361,373,382,391,392,393,404,409,416,417,420,428,439,442,456,
460,464,472,473,553,588,603,649,654,696,698,699,706,846],[1,2,3,4,7,8,9,10,12,
13,14,28,29,30,31,32,33,34,36,37,38,39,42,47,48,49,50,51,52,53,54,55,56,58,60,
63,66,104,106,107,112,114,115,121,123,124,126,127,134,136,137,138,139,143,148,
149,151,152,153,156,157,158,159,162,164,168,170,172,174,177,178,182,186,191,
196,197,205,206,209,211,213,217,222,285,286,291,296,299,307,311,313,323,324,
327,352,355,359,366,367,373,384,391,392,401,402,404,406,407,413,416,417,418,
419,420,421,427,435,461,556,580,592,617,622,635,639,652,657,691,698,847],[1,2,
3,4,7,8,9,10,11,12,13,14,17,18,28,30,32,33,36,39,41,50,51,54,55,58,60,63,68,
69,70,71,73,74,102,107,112,115,122,125,129,130,134,135,139,146,149,151,152,
155,159,161,171,172,175,190,192,203,218,221,274,278,291,299,301,302,308,311,
313,328,338,347,362,363,371,408,422,556,587,629,673,715,848],[1,2,3,7,8,9,10,
12,14,32,33,35,36,37,38,39,42,48,49,53,54,56,62,63,65,66,67,105,110,113,114,
115,121,128,133,135,149,150,154,161,162,171,174,175,177,191,196,198,205,207,
213,281,304,312,316,336,341,349,359,369,373,410,424,448,568,588,628,680,689,
849],[1,2,3,4,7,8,9,10,12,13,14,32,33,35,36,37,38,39,40,51,54,58,60,61,62,63,
64,65,66,67,72,105,110,113,114,115,121,128,133,135,150,152,154,161,171,172,
175,176,194,199,204,216,220,227,228,281,304,312,313,315,336,353,361,369,382,
424,449,450,568,603,632,668,703,850],[1,2,3,7,8,9,10,12,31,32,33,34,35,37,39,
47,53,54,63,72,105,113,115,117,120,137,138,148,149,153,171,216,271,281,289,
323,340,353,410,553,628,632,851],[1,2,3,4,7,8,9,10,12,13,14,30,31,32,33,34,35,
36,37,39,47,49,51,52,53,54,55,58,63,66,68,70,73,103,105,112,113,115,117,120,
121,123,125,127,129,134,135,137,138,146,148,153,155,159,161,168,171,175,178,
196,217,271,281,284,287,289,296,298,304,318,323,330,338,340,355,362,371,380,
395,426,553,558,585,599,618,619,631,852],[1,2,3,4,7,8,9,10,12,13,14,28,29,30,
31,32,33,34,36,37,38,39,47,49,50,51,52,53,54,55,58,60,62,63,67,103,106,107,
112,113,114,115,123,126,127,128,131,132,134,135,136,137,138,139,143,148,149,
151,152,153,154,156,157,158,159,161,164,168,170,171,172,177,178,272,280,285,
291,296,300,307,311,312,318,319,323,324,327,367,377,382,388,395,396,411,417,
421,427,551,570,589,592,606,607,612,853],[1,2,4,7,9,12,13,15,30,33,35,43,49,
51,53,54,58,60,61,63,64,103,105,112,129,152,159,167,172,177,194,199,204,208,
284,299,330,337,339,361,388,554,584,615,854],[1,2,3,4,7,8,9,10,12,13,14,16,18,
28,29,30,31,32,33,34,35,36,37,38,39,45,47,49,50,52,57,58,60,63,66,68,69,70,71,
73,103,105,106,107,112,114,116,117,118,119,120,121,122,123,126,127,129,130,
135,136,138,139,142,145,146,155,157,159,160,161,163,168,169,171,173,175,178,
180,182,184,185,194,196,200,206,207,210,214,217,219,271,276,282,283,284,285,
287,293,296,298,301,303,304,318,328,330,335,355,364,370,380,389,390,395,398,
399,407,408,412,414,415,423,429,434,444,473,558,572,598,599,604,609,621,692,
694,726,729,855],[1,2,4,7,9,12,13,15,30,33,35,43,49,51,53,54,58,60,61,63,64,
103,105,112,123,129,152,167,172,177,194,199,204,208,284,287,299,337,339,361,
388,555,584,615,856],[1,2,3,4,7,9,13,14,17,30,33,35,42,49,53,56,58,66,74,103,
105,112,123,129,174,177,186,197,198,203,207,279,284,287,337,349,402,422,555,
579,583,857],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,31,32,33,34,35,36,37,38,
39,42,45,47,49,50,51,52,53,54,55,57,58,59,60,63,73,101,104,105,106,107,111,
112,114,115,116,123,126,127,128,130,131,134,135,136,137,138,139,143,148,149,
150,151,152,153,155,156,157,158,159,164,168,170,172,173,177,178,180,181,184,
185,194,200,204,273,275,280,283,285,291,295,296,305,306,307,311,323,324,327,
328,329,360,361,364,367,370,378,379,394,395,396,397,399,412,417,421,427,440,
544,573,592,606,613,640,642,655,694,714,721,858],[1,2,3,4,7,8,9,10,12,13,14,
28,29,30,31,32,33,34,36,37,38,39,47,49,50,51,52,53,54,55,58,60,63,103,106,107,
112,113,114,115,123,126,127,134,136,137,138,139,143,148,149,151,152,153,156,
157,158,159,164,165,168,170,172,177,178,179,182,195,206,209,222,272,285,291,
296,298,307,310,311,323,324,327,331,337,340,341,366,367,374,382,386,388,393,
401,404,407,417,418,420,421,427,461,561,565,592,607,620,622,639,650,654,667,
684,859],[1,2,3,4,7,8,9,10,12,13,14,15,28,30,32,33,34,36,39,40,43,44,50,51,54,
55,58,60,61,62,64,65,67,68,70,72,73,107,109,110,112,115,125,126,128,131,132,
133,134,139,140,141,146,150,151,152,154,155,161,167,171,176,187,193,199,208,
212,215,216,220,224,227,228,235,277,291,294,315,317,326,332,334,336,339,353,
358,360,362,375,377,400,405,431,432,438,449,450,462,477,545,591,625,651,668,
670,695,700,712,860],[1,2,3,7,9,10,12,14,16,29,33,35,36,37,39,44,45,49,50,52,
53,57,59,63,66,75,105,109,111,119,121,123,135,136,137,147,150,159,161,163,173,
175,198,207,211,213,219,223,282,287,289,304,330,344,370,383,385,390,396,397,
413,549,581,602,604,614,619,627,861],[1,2,3,4,7,8,9,10,12,13,14,18,28,29,30,
31,32,33,34,36,37,38,39,42,47,48,49,50,51,52,53,54,55,56,58,60,62,63,66,67,68,
69,70,71,75,103,104,106,107,112,113,114,115,121,122,123,124,126,127,134,136,
137,138,139,144,146,147,149,151,152,154,156,157,159,162,166,172,174,177,183,
186,188,189,191,196,197,201,202,205,210,211,213,214,217,226,230,272,279,285,
286,291,298,303,309,310,311,316,320,321,324,331,340,348,352,355,359,373,381,
382,384,388,391,392,402,406,413,416,419,428,435,469,542,562,580,607,617,620,
635,664,671,699,716,862],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,34,36,39,42,
48,49,50,51,53,54,55,56,58,60,63,66,73,101,103,104,107,112,113,115,121,123,
124,126,128,130,131,134,135,137,139,149,150,151,152,155,156,159,162,172,174,
177,186,191,197,205,272,273,275,276,280,286,291,305,311,322,324,328,329,360,
364,373,378,382,388,391,402,419,435,448,541,573,594,607,612,613,617,863],[1,2,
3,4,7,8,9,10,12,13,14,17,28,30,32,33,34,36,39,44,50,51,54,55,58,60,62,65,67,
68,70,73,74,107,109,110,112,115,125,126,128,131,132,133,134,135,139,146,150,
151,152,154,155,161,171,192,193,203,212,221,277,280,291,317,326,332,334,336,
347,360,362,363,377,400,411,422,551,591,629,683,685,864],[1,2,3,4,7,8,9,10,11,
12,13,14,16,18,28,29,30,31,32,33,34,36,37,38,39,41,42,44,45,47,48,50,51,52,54,
55,56,57,58,59,60,62,65,66,67,68,69,70,71,73,75,102,104,106,107,109,110,111,
112,113,114,115,116,121,122,124,125,126,127,128,129,130,131,132,133,134,135,
136,138,139,144,146,147,150,151,152,154,155,157,161,162,166,171,174,175,183,
184,185,188,189,190,193,201,202,210,212,214,218,226,230,232,234,274,277,278,
285,286,288,291,292,300,301,302,303,305,306,308,309,312,317,319,320,321,322,
325,326,328,332,334,336,338,342,345,346,348,350,356,357,360,362,365,368,369,
371,376,377,380,381,383,385,398,400,403,408,424,426,428,469,474,547,550,562,
578,586,587,591,595,596,597,633,658,661,663,672,693,704,723,865],[1,2,3,4,7,8,
9,10,12,13,14,15,18,30,31,33,34,35,37,42,43,47,49,51,53,54,56,58,60,61,63,64,
66,67,68,71,75,103,105,112,117,120,123,129,138,143,144,148,152,158,165,167,
168,172,174,177,178,183,186,191,194,195,197,198,199,202,204,206,207,208,210,
213,217,222,226,271,279,284,287,296,298,299,337,339,349,351,361,386,388,401,
402,406,416,417,419,420,428,439,442,446,460,470,472,473,558,579,584,666,667,
671,675,691,696,866],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,32,33,36,39,41,49,
50,51,53,54,55,58,60,68,69,70,71,72,73,102,107,112,115,122,123,125,129,130,
134,135,137,139,146,151,152,155,156,161,165,171,175,177,179,187,190,195,215,
216,218,274,278,291,301,302,308,324,328,338,353,358,362,371,374,386,393,405,
408,451,452,561,587,625,705,720,867],[1,2,3,4,7,9,10,13,17,29,30,33,35,37,49,
50,52,53,57,58,74,103,105,112,119,129,136,137,158,163,170,173,177,203,282,284,
289,307,331,337,422,552,583,615,868],[1,2,3,4,7,9,10,12,13,14,15,18,29,30,33,
35,37,42,43,49,50,51,52,53,54,56,57,58,60,61,62,63,64,66,70,71,75,103,105,112,
119,129,136,137,152,153,158,163,164,166,167,168,170,172,173,174,177,179,182,
186,188,194,195,196,197,198,199,202,204,205,207,208,209,211,214,230,279,282,
284,289,299,307,331,337,339,349,352,354,361,381,388,391,392,393,402,404,418,
427,433,434,446,456,457,467,468,552,579,584,649,652,665,678,684,716,869],[1,2,
3,7,8,9,10,12,14,28,32,33,35,36,39,42,47,48,49,50,52,53,56,57,63,66,104,105,
107,116,121,123,124,127,128,130,131,135,137,149,156,159,162,172,173,174,177,
180,198,207,219,223,280,283,286,311,314,324,330,344,349,370,372,390,392,397,
401,404,406,430,448,567,589,590,594,635,639,642,870],[1,2,3,4,7,8,9,10,13,17,
30,31,33,34,35,37,47,49,53,58,74,103,105,112,117,120,123,129,138,168,177,178,
203,271,284,287,296,298,337,422,558,583,615,871],[1,2,3,4,7,8,9,10,12,13,14,
16,18,28,30,32,33,34,35,36,37,38,39,42,44,45,47,48,50,51,52,54,55,56,57,58,59,
60,62,65,66,67,68,69,70,71,73,75,103,104,105,107,109,110,111,112,113,114,115,
116,121,122,124,125,126,127,128,129,130,131,132,133,134,135,139,146,147,150,
154,155,161,162,171,173,174,175,180,183,184,185,188,189,193,202,210,212,214,
226,230,232,234,276,280,281,283,284,286,290,292,300,301,303,304,305,306,308,
309,312,317,318,320,322,325,328,329,332,334,336,338,345,346,348,350,356,357,
360,362,365,368,369,371,376,377,380,383,385,398,400,403,408,424,426,549,563,
566,568,582,585,593,621,633,638,644,658,661,663,672,688,693,704,872],[1,2,3,4,
7,9,10,12,13,14,15,17,18,30,33,35,36,39,43,51,54,57,58,60,61,63,64,66,69,71,
73,74,77,103,105,112,115,116,121,122,125,129,135,152,155,161,167,172,175,194,
199,203,204,208,229,231,284,290,299,304,308,339,361,371,388,398,422,447,455,
563,583,584,710,715,873],[1,2,3,7,8,9,10,12,29,32,33,35,37,39,49,50,52,54,57,
63,72,105,113,115,119,123,136,143,149,163,164,171,173,216,281,282,287,310,327,
353,410,560,628,632,874],[1,2,3,4,7,8,9,10,12,13,14,18,29,32,33,35,37,39,40,
42,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,66,70,71,75,105,113,115,119,
123,136,143,152,153,162,163,164,165,166,168,170,171,172,173,174,176,177,182,
188,191,194,195,196,197,198,199,202,204,205,207,209,211,214,220,230,281,282,
287,310,313,315,316,327,341,349,352,361,373,381,382,386,387,401,406,418,419,
427,433,434,457,464,467,468,470,560,588,603,650,657,664,666,678,708,875],[1,2,
3,7,8,9,10,12,14,28,29,31,32,33,34,36,37,38,39,47,49,50,52,53,62,63,67,103,
106,107,113,114,123,126,127,128,131,132,135,136,137,138,149,154,156,157,159,
161,171,172,177,272,280,285,300,311,312,318,319,324,337,341,377,410,564,565,
570,647,680,876],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,32,33,34,35,36,
37,38,39,42,45,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,66,67,68,69,70,71,
75,104,105,106,107,112,114,115,116,117,118,119,120,121,122,123,124,126,127,
130,134,136,137,138,139,142,143,144,145,146,147,148,149,151,152,153,154,156,
157,158,159,160,162,163,164,166,168,169,170,172,173,174,177,178,180,181,182,
183,184,185,188,189,194,196,198,200,201,202,204,206,207,209,210,211,213,214,
217,219,222,223,226,230,271,282,283,285,286,291,293,296,303,307,309,311,320,
321,323,324,327,335,344,348,349,352,355,359,361,366,367,372,379,381,384,389,
390,394,399,407,412,413,414,415,416,417,418,420,421,427,428,429,430,433,434,
439,440,441,442,444,445,457,461,463,465,466,467,469,471,472,473,562,572,580,
590,592,622,640,646,669,678,696,697,707,718,726,730,733,877],[1,2,3,7,8,9,10,
12,14,28,29,31,32,33,34,36,37,38,39,47,49,50,52,53,63,103,106,107,113,114,123,
126,127,128,131,135,136,137,138,149,156,157,159,172,177,182,206,209,222,272,
280,285,298,310,311,324,331,340,366,395,396,401,404,407,410,418,420,461,564,
589,606,612,620,622,639,878],[1,2,4,7,8,9,12,13,32,33,35,39,40,51,54,58,60,61,
63,64,105,113,115,149,152,159,171,172,176,194,199,204,220,281,313,315,330,361,
382,410,559,603,628,879],[1,2,3,7,8,9,10,12,14,29,32,33,35,36,37,38,39,49,50,
52,54,57,62,63,65,66,67,105,110,113,114,115,119,121,123,128,133,135,136,150,
154,159,161,163,171,173,175,181,204,207,211,213,219,281,282,287,304,312,330,
336,369,370,379,390,396,413,424,425,568,604,605,614,627,631,634,880],[1,2,3,4,
7,9,10,12,13,14,18,29,30,33,35,36,37,39,50,52,53,54,57,58,63,66,69,71,73,103,
105,112,115,116,119,121,122,125,129,135,136,137,155,159,161,163,173,175,194,
198,200,211,213,223,282,284,289,290,304,308,330,344,371,396,397,398,399,413,
423,563,581,602,605,609,618,627,881],[1,2,3,4,7,8,9,10,12,13,14,18,28,30,32,
33,35,36,39,47,50,52,53,57,58,60,63,66,68,69,70,71,73,103,105,107,112,116,121,
122,127,129,130,135,137,139,146,149,155,159,161,171,172,173,175,180,209,210,
214,222,276,283,284,289,301,303,304,311,314,318,328,330,366,378,380,398,408,
554,567,602,605,611,618,621,882],[1,2,3,4,7,9,13,14,17,30,33,35,42,49,53,56,
58,63,66,74,103,105,112,129,159,174,177,186,197,198,203,207,279,284,330,337,
349,402,422,554,579,583,883],[1,2,3,4,7,8,9,10,12,13,14,18,28,30,32,33,35,36,
39,47,49,50,52,53,57,58,60,63,66,68,69,70,71,73,103,105,107,112,116,121,122,
123,127,129,130,135,137,139,146,155,156,159,161,171,173,175,177,180,182,206,
210,214,276,283,284,287,289,297,301,303,304,318,324,328,330,364,380,398,407,
408,555,569,598,614,618,619,621,884],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,
32,33,36,39,41,50,51,54,55,58,60,68,69,70,71,72,73,102,107,112,115,122,125,
128,129,130,131,134,135,139,146,151,152,155,161,171,175,187,190,215,216,218,
274,278,280,291,301,302,308,328,338,353,358,362,371,405,408,411,551,587,625,
674,727,885],[1,2,3,7,8,9,10,12,14,28,29,31,32,33,34,36,37,38,39,42,47,48,49,
50,52,53,56,63,66,104,106,107,114,121,123,124,126,127,128,131,135,136,137,138,
149,156,157,159,162,172,174,177,182,196,206,209,211,213,217,222,280,285,286,
311,324,352,355,359,366,384,392,395,396,406,407,413,416,418,420,448,461,548,
580,589,594,606,622,635,886],[1,2,4,7,8,9,12,13,29,31,32,33,35,39,40,44,51,54,
58,60,61,63,64,72,105,106,109,113,115,128,132,152,171,172,176,194,199,204,216,
220,224,235,281,313,315,317,319,353,361,382,438,462,543,603,632,670,725,887],[
1,2,3,4,7,9,10,12,13,14,18,30,33,35,36,39,42,49,53,54,56,57,58,66,69,71,73,
103,105,112,115,116,121,122,125,129,135,155,161,174,175,177,186,191,197,198,
205,207,219,223,279,284,290,304,308,337,349,371,372,373,398,402,563,579,615,
630,637,888],[1,2,3,7,8,9,10,14,16,28,29,31,32,33,34,35,36,37,38,42,45,47,48,
49,50,52,53,56,57,59,63,66,101,103,104,105,106,107,111,113,114,116,121,123,
124,126,127,130,136,137,138,149,156,157,159,162,172,173,174,177,180,184,185,
196,198,207,211,213,217,219,223,272,273,276,283,285,286,295,298,306,310,311,
322,324,331,340,344,349,352,355,359,364,372,378,384,390,412,413,416,423,425,
430,541,544,580,590,613,620,623,702,717,724,729,889],[1,2,3,7,8,9,10,12,14,28,
32,33,34,35,36,39,47,48,49,50,52,54,56,57,62,63,66,67,75,105,107,113,115,116,
121,123,124,126,127,130,131,132,135,147,149,150,154,159,161,171,172,173,175,
180,182,183,188,206,281,283,287,300,304,309,311,314,322,329,330,364,365,376,
377,403,407,559,567,593,598,605,614,631,890],[1,2,3,4,7,8,9,10,12,13,14,28,30,
32,33,35,36,39,47,50,51,52,54,55,57,58,60,63,103,105,107,112,113,115,116,127,
130,134,139,149,151,152,159,172,173,180,181,194,200,204,272,283,291,299,311,
313,314,330,361,379,382,388,394,399,410,423,425,440,548,556,564,567,607,623,
640,891],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,34,36,39,44,50,51,54,55,58,60,
62,63,65,67,68,70,72,73,107,109,110,112,115,125,126,128,131,132,133,134,139,
146,149,150,151,152,154,155,159,161,171,172,187,193,212,215,216,277,291,299,
311,313,317,326,332,334,336,353,358,360,362,377,400,405,556,591,625,703,725,
892],[1,2,3,7,8,9,10,12,14,16,28,29,32,33,34,35,36,37,39,45,47,48,49,50,52,54,
56,57,62,63,66,67,75,105,107,113,115,116,118,119,120,121,123,124,126,127,130,
131,132,135,136,142,143,147,150,154,159,161,163,164,169,171,173,175,180,181,
182,183,185,188,204,206,207,211,213,219,281,282,283,287,295,300,304,309,310,
322,327,329,330,333,364,365,370,376,377,379,390,396,403,407,413,414,425,442,
445,457,465,546,560,593,598,604,627,634,669,702,709,721,893],[1,2,3,4,7,8,9,
10,12,13,14,29,30,32,33,35,36,37,39,47,49,50,51,52,54,55,57,58,63,66,68,70,73,
103,105,112,113,115,119,121,123,125,127,129,134,135,136,143,146,155,159,161,
163,164,171,173,175,194,200,207,219,281,282,284,287,304,310,318,327,330,338,
362,370,371,380,390,399,423,426,555,560,585,604,609,614,631,894],[1,2,3,4,7,8,
9,10,12,13,14,28,30,32,33,35,36,39,42,47,48,49,50,51,52,53,54,55,56,57,58,60,
63,65,66,75,104,105,107,112,115,116,121,123,124,127,128,130,131,133,134,135,
137,139,147,149,151,152,156,159,161,162,172,173,174,175,177,180,181,186,191,
194,197,200,204,205,280,283,286,291,304,311,324,325,356,357,361,370,373,379,
391,394,397,399,402,411,419,435,440,448,551,566,589,594,617,640,642,895],[1,2,
3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,39,42,47,48,49,50,51,52,53,54,55,56,
57,58,60,63,66,104,105,107,112,115,116,121,123,124,127,130,134,137,139,149,
151,152,156,159,162,165,172,173,174,177,179,180,181,186,191,194,195,197,198,
200,204,205,207,219,223,283,286,287,289,291,297,311,324,344,349,361,372,373,
374,379,386,390,391,392,393,394,399,401,402,404,406,419,430,435,440,561,569,
590,617,635,639,640,649,656,659,666,896],[1,2,4,7,8,9,12,13,32,33,35,39,40,51,
53,54,58,60,61,63,64,105,113,115,137,149,152,171,172,176,194,199,204,220,281,
289,313,315,361,382,410,571,603,628,897],[1,2,3,7,8,9,10,12,14,16,28,29,31,32,
33,34,35,36,37,38,39,45,47,48,50,52,53,54,56,57,62,63,66,67,75,105,106,107,
113,114,115,116,117,118,119,120,121,124,126,127,130,131,132,135,136,137,138,
142,145,147,148,150,153,154,157,159,160,161,163,169,171,173,175,180,181,183,
184,185,188,196,198,204,209,217,222,223,271,281,282,283,285,289,293,300,304,
309,322,323,329,330,335,340,344,355,365,366,376,377,378,379,389,395,397,403,
412,414,415,425,463,466,467,472,553,572,581,593,599,611,634,646,681,714,717,
898],[1,2,3,7,8,9,10,12,14,28,32,33,35,36,39,42,47,48,49,50,52,53,56,57,63,65,
66,75,103,104,105,107,113,116,121,123,124,127,128,130,131,133,135,137,147,149,
156,159,161,162,172,173,174,175,177,180,198,207,219,223,272,279,280,283,286,
304,311,316,324,325,344,349,356,357,372,390,392,406,423,425,430,448,542,566,
590,594,612,623,635,899],[1,2,3,4,7,8,9,10,12,13,14,17,28,30,32,33,34,36,39,
42,50,51,54,55,58,60,72,73,74,101,104,107,112,115,126,128,130,131,134,135,139,
150,151,152,155,187,192,203,215,216,221,273,275,280,291,305,328,329,347,353,
358,360,363,405,422,573,625,629,701,713,900],[1,2,3,4,7,8,9,10,12,13,14,15,17,
29,30,31,32,33,36,39,40,43,47,48,49,51,52,53,54,55,56,58,60,61,62,64,67,68,70,
72,74,106,110,113,124,125,127,128,129,132,134,135,140,141,144,146,148,150,151,
154,156,164,165,166,167,170,171,175,176,178,179,186,187,191,192,195,197,199,
201,203,205,208,215,216,220,221,277,300,319,321,338,351,354,363,369,374,375,
387,400,403,405,409,421,426,435,437,443,447,449,459,460,462,468,597,648,653,
686,687,712,720,901],[1,2,3,4,7,8,9,10,11,12,13,14,15,17,18,30,32,36,37,38,39,
40,41,43,48,49,51,53,54,55,56,58,60,61,64,68,69,70,71,72,73,74,75,76,77,102,
110,114,122,124,132,134,140,141,143,146,147,151,153,155,156,158,165,167,168,
176,179,186,187,189,190,191,192,195,197,199,202,203,205,208,215,216,218,220,
221,225,229,231,233,277,292,302,320,345,363,367,374,375,405,435,436,446,449,
451,452,453,454,455,456,462,464,470,476,478,550,653,690,705,711,712,728,902],[
1,2,3,7,8,9,10,12,14,16,28,29,31,32,33,34,35,36,37,38,39,42,45,46,47,49,50,52,
53,54,57,59,62,63,65,66,67,75,103,104,108,111,114,115,116,117,118,119,120,121,
123,126,127,130,131,133,135,136,137,138,142,143,145,147,148,150,153,154,157,
159,160,161,163,164,169,171,173,175,180,181,182,183,184,185,188,196,198,204,
206,207,209,211,213,217,219,222,223,276,290,295,297,298,306,309,314,318,323,
325,327,329,331,333,335,343,344,355,357,364,366,370,376,378,379,383,389,390,
395,396,397,407,412,413,414,415,423,424,442,445,457,463,465,466,467,472,575,
601,610,638,645,646,660,662,669,692,714,721,722,724,729,903],[1,2,3,4,7,8,9,
10,12,13,14,32,33,36,39,40,44,47,48,51,52,54,56,57,58,60,61,62,63,64,65,67,72,
75,103,109,110,115,116,124,127,128,132,133,135,147,150,152,154,161,171,172,
175,176,181,199,200,216,220,224,227,228,235,290,313,315,317,318,336,353,356,
365,369,385,388,394,403,438,449,450,462,577,582,643,668,670,703,725,904],[1,2,
3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,42,45,46,47,
48,49,50,52,53,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,104,108,111,
112,113,114,116,117,118,119,120,121,122,123,124,126,127,130,132,133,135,136,
137,138,139,142,145,146,147,154,155,157,158,159,160,163,168,169,170,173,178,
180,182,184,185,194,196,198,200,206,207,209,210,211,213,214,217,219,222,223,
226,230,232,234,288,295,296,297,300,303,306,307,310,314,322,325,326,328,333,
335,340,343,344,345,348,355,364,366,368,370,378,389,390,395,396,397,399,407,
412,413,414,415,425,429,433,434,439,441,444,471,473,575,586,624,641,645,655,
660,662,681,694,702,709,717,718,726,905],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,
17,18,29,30,31,32,36,39,40,41,43,44,45,48,49,51,53,54,55,56,58,59,60,61,62,64,
65,67,68,69,70,71,72,73,74,76,77,102,106,109,111,122,124,133,134,140,141,144,
146,148,151,154,155,156,164,165,166,167,170,176,178,179,186,187,190,191,192,
193,195,197,199,201,203,205,208,212,215,216,218,220,221,224,225,227,228,229,
231,232,233,234,235,302,321,332,342,351,354,363,368,374,375,387,405,409,421,
431,432,435,436,437,438,450,451,452,453,454,455,458,459,460,468,474,475,476,
477,547,648,679,686,690,700,705,731,732,734,735,906],[1,2,3,4,7,8,9,10,12,13,
14,16,18,29,31,33,34,36,37,38,39,40,42,45,47,49,50,51,52,53,54,56,57,58,60,61,
62,63,64,66,67,68,70,71,75,103,115,116,118,123,136,137,138,143,144,145,148,
152,153,158,160,164,165,166,168,169,170,172,174,175,176,177,178,179,181,182,
183,184,186,188,191,195,196,197,199,200,202,205,206,209,210,211,213,214,217,
219,220,222,223,226,230,279,290,297,298,313,315,323,327,331,335,337,352,372,
373,381,386,387,388,391,392,393,394,401,404,406,409,416,417,418,419,420,427,
428,429,441,444,445,456,460,463,464,465,466,468,470,471,577,610,630,656,657,
659,667,671,684,697,698,706,707,708,716,907],[1,2,3,4,7,8,9,10,12,13,14,15,17,
18,30,32,33,36,37,38,39,40,43,44,48,49,51,53,54,55,56,57,58,60,61,62,64,65,66,
67,69,71,72,73,74,75,109,114,116,121,122,124,125,129,133,134,135,140,141,143,
147,150,151,153,154,155,156,158,161,165,167,168,171,175,176,179,186,187,189,
191,192,193,195,197,199,202,203,205,208,212,215,216,220,221,224,227,228,235,
320,325,332,338,350,363,365,367,374,375,385,398,405,424,431,432,435,438,443,
446,447,450,456,458,464,470,475,477,478,633,679,687,700,711,720,728,908],[1,2,
3,4,7,9,10,12,13,14,15,17,18,28,30,33,36,39,40,42,43,44,50,54,60,61,64,65,69,
71,72,73,74,75,77,104,109,110,115,122,125,129,130,131,133,135,139,147,150,155,
161,175,203,208,216,220,224,229,231,235,294,301,305,329,334,336,347,350,357,
358,371,385,411,438,443,449,455,576,644,651,682,685,713,727,909],[1,2,4,7,11,
12,13,15,17,28,30,39,40,41,43,44,60,61,64,72,74,76,101,102,109,110,125,131,
139,203,208,216,220,224,225,233,235,275,278,294,334,347,358,411,438,447,449,
453,540,574,651,674,685,701,719,910],[1,2,3,7,9,10,12,14,16,33,35,36,37,39,45,
49,50,52,53,54,57,63,72,103,115,116,159,163,169,173,175,177,181,185,204,216,
290,314,333,337,353,379,423,601,637,643,911],[1,2,3,4,7,8,9,10,11,12,13,14,15,
17,18,30,32,33,36,39,41,43,47,51,52,54,55,57,58,60,61,63,64,66,68,69,70,71,73,
74,76,77,102,112,113,116,121,122,125,127,129,134,146,152,155,161,167,171,172,
175,181,190,199,200,203,208,210,214,218,225,229,231,233,274,288,299,302,303,
308,339,362,380,382,394,398,422,426,443,447,453,455,578,600,608,673,676,710,
715,912],[1,2,3,4,7,8,9,10,12,13,14,15,17,18,28,30,32,33,34,36,39,40,42,43,50,
60,61,62,64,65,67,68,69,70,71,72,74,75,77,101,104,107,122,126,129,130,131,132,
133,139,146,147,154,161,171,175,203,208,216,220,226,227,228,229,230,231,273,
275,294,301,326,347,348,357,358,376,377,408,411,443,450,455,462,574,616,682,
683,695,701,727,913],[1,2,3,4,7,8,9,10,13,14,16,17,30,32,33,35,36,37,45,50,52,
57,58,63,68,70,74,112,113,116,146,149,159,163,169,173,185,194,200,203,288,314,
333,399,410,422,425,608,624,626,914],[1,2,3,4,7,8,9,10,12,13,14,15,16,18,29,
30,31,32,33,34,36,37,38,42,43,45,47,48,49,50,51,52,53,54,56,57,58,60,61,62,63,
64,66,67,68,70,71,75,112,113,116,118,123,136,137,138,143,144,145,146,148,152,
153,158,160,162,164,165,166,167,168,169,170,172,174,177,178,179,181,182,183,
184,186,188,191,195,196,197,199,200,202,205,206,208,209,210,211,213,214,217,
219,222,223,226,230,288,296,297,299,307,310,316,335,339,340,341,351,352,354,
372,381,382,386,391,392,393,394,401,402,404,406,416,417,418,419,420,427,428,
429,441,444,445,446,456,460,463,465,466,468,470,471,600,636,641,650,652,654,
656,659,664,665,675,691,697,699,707,915],[1,2,3,4,7,8,9,10,12,13,14,29,30,31,
32,33,36,37,38,39,42,48,49,51,53,55,56,57,58,62,63,66,67,68,70,73,75,106,112,
113,114,116,124,125,128,132,134,144,146,147,149,150,154,155,161,162,166,171,
174,177,186,196,197,201,211,213,217,219,223,288,312,316,319,321,341,345,346,
359,362,365,372,384,400,402,410,448,595,626,636,647,677,680,689,916],[1,2,3,4,
7,8,9,10,11,12,13,14,15,17,18,28,30,32,34,36,39,40,41,42,43,50,51,55,60,61,62,
64,65,67,68,69,70,71,72,73,74,75,76,102,104,122,125,126,128,131,132,133,134,
139,146,147,150,154,155,190,203,208,216,218,220,225,226,227,228,230,233,278,
294,302,305,326,346,347,348,350,358,360,400,411,447,450,453,462,576,596,674,
683,695,713,719,917],[1,2,5,6,7,22,28,78,80,82,83,101,243,479,485,489,918],[1,
2,4,5,6,7,11,13,22,26,30,41,78,80,81,82,83,86,87,88,102,251,253,479,483,486,
487,491,492,919],[1,2,3,4,5,6,7,8,10,12,13,14,18,20,21,22,23,24,25,34,42,60,
67,68,71,75,78,80,82,83,89,90,91,92,93,94,95,97,226,236,237,241,246,248,249,
256,257,258,260,263,265,266,479,480,515,531,736,737,738,920],[1,2,4,7,12,13,
19,28,30,39,60,79,101,131,139,275,741,921],[1,2,6,7,22,27,28,80,240,243,532,
922],[1,4,6,11,15,17,24,27,76,81,85,240,259,262,923],[1,3,6,16,25,27,46,84,
240,255,533,924],[1,4,6,11,15,17,24,27,76,85,87,240,259,269,925],[1,4,5,6,11,
19,23,26,78,79,81,86,87,88,100,238,270,483,534,926],[1,2,4,6,7,9,11,13,30,33,
35,41,58,80,87,102,103,105,112,129,274,284,487,488,539,927],[1,2,4,5,7,11,12,
13,28,30,39,41,44,60,82,88,101,102,109,110,125,131,139,275,278,334,485,486,
490,540,928],[1,2,4,6,7,9,11,13,22,30,33,35,41,58,81,83,102,103,105,112,129,
242,253,274,284,491,503,539,929],[1,2,4,5,7,9,11,13,26,30,33,35,41,58,82,86,
88,102,103,105,112,129,251,274,284,486,492,539,749,930],[1,2,4,5,7,11,12,13,
26,28,30,39,41,44,60,82,86,101,102,109,110,125,131,139,251,275,278,334,485,
492,540,752,931],[1,2,4,6,7,11,12,13,22,28,30,39,41,44,60,80,83,87,101,102,
109,110,125,131,139,243,275,278,334,487,489,540,756,932],[1,2,4,6,7,11,12,13,
22,28,30,39,41,44,60,80,81,83,101,102,109,110,125,131,139,243,250,253,275,278,
334,489,491,514,540,933],[1,2,6,7,8,9,12,22,28,32,33,39,49,53,80,90,103,107,
113,123,128,131,135,137,156,177,243,272,280,324,488,507,612,743,934],[1,2,3,6,
7,8,9,10,14,22,25,28,32,33,36,42,48,56,66,80,91,103,104,107,113,121,124,162,
174,243,248,272,279,286,316,488,495,542,743,757,935],[1,2,3,6,7,9,10,12,14,16,
22,28,29,33,35,36,37,39,45,49,50,52,54,57,63,80,84,90,115,123,130,131,135,136,
143,150,159,164,173,181,185,204,242,243,245,247,295,327,329,364,370,379,396,
500,507,511,721,744,936],[1,2,3,4,6,7,8,9,10,12,13,14,15,20,21,22,28,30,32,34,
36,39,40,43,50,60,61,64,65,68,70,72,80,85,92,126,132,133,139,146,208,216,220,
227,228,241,243,244,252,254,294,326,358,450,462,501,516,695,745,937],[1,2,4,6,
7,8,9,12,13,15,22,28,30,32,33,39,40,43,51,54,55,58,60,61,64,80,85,94,107,112,
115,134,139,140,141,151,152,167,176,199,208,220,243,252,254,291,294,315,339,
375,496,527,530,545,745,938],[1,2,3,6,7,8,9,10,14,20,21,22,28,29,31,32,33,34,
36,37,38,47,49,50,52,53,80,92,103,106,107,113,114,123,126,127,136,137,138,156,
157,177,241,243,244,272,285,298,310,324,331,340,488,501,620,742,743,746,939],[
1,2,3,6,7,8,9,10,14,16,22,28,29,31,32,33,34,35,36,37,38,42,45,47,50,52,57,59,
80,83,84,101,104,105,106,107,111,114,116,126,127,130,136,138,157,173,180,184,
185,242,243,245,247,261,273,283,285,295,306,412,489,498,503,520,544,744,940],[
1,2,3,6,7,9,10,14,16,21,22,28,29,33,35,36,37,45,50,52,53,57,63,66,80,84,93,
103,121,130,136,137,159,173,185,198,211,213,223,242,243,244,245,247,276,295,
331,344,378,413,423,494,505,512,724,744,941],[1,2,3,4,6,7,9,10,12,13,14,15,17,
18,21,22,28,30,33,36,39,40,43,50,60,61,64,69,71,74,77,80,85,93,122,129,130,
139,161,203,208,220,229,231,243,244,252,254,264,294,301,347,443,455,505,519,
682,745,942],[1,2,3,6,7,8,9,10,14,16,22,28,29,32,33,35,36,37,45,47,50,52,57,
80,84,94,105,107,116,118,119,120,127,130,136,142,163,169,173,180,185,242,243,
245,247,282,283,295,333,414,493,496,499,517,546,744,943],[1,2,3,6,7,8,9,10,14,
16,22,25,28,29,31,32,33,34,35,36,37,38,42,45,46,47,50,52,57,59,80,84,91,104,
108,111,114,116,117,118,119,120,126,127,130,136,138,142,145,157,160,163,169,
173,180,184,185,242,243,245,247,248,255,295,306,333,335,343,389,412,414,415,
495,506,510,528,575,744,944],[1,2,3,4,6,7,10,12,13,14,15,22,25,28,30,36,39,40,
42,43,60,61,64,73,80,85,91,104,131,139,150,155,208,220,243,248,252,254,294,
305,411,495,576,745,945],[1,2,3,6,7,8,9,10,14,21,22,28,32,33,35,36,47,50,52,
57,63,80,93,103,105,107,113,116,127,130,149,159,172,173,180,243,244,272,283,
311,423,425,488,505,623,743,755,946],[1,2,3,6,7,8,9,10,14,16,20,21,22,28,29,
32,33,34,35,36,37,45,48,49,50,52,56,57,63,66,80,84,92,113,121,123,124,126,130,
136,159,173,185,207,211,213,219,241,242,243,244,245,247,295,310,322,364,390,
413,425,501,504,509,702,744,947],[1,2,4,6,7,11,12,13,15,17,22,24,28,30,39,40,
41,43,60,61,64,74,76,80,85,89,102,125,139,203,208,220,225,233,243,249,252,254,
259,278,294,347,447,453,508,526,719,745,948],[1,2,4,6,7,8,9,12,13,22,24,28,30,
32,33,39,51,54,55,58,60,63,80,89,103,107,112,113,115,134,139,149,151,152,159,
172,243,249,272,291,311,382,388,488,508,607,743,750,949],[1,2,6,7,8,9,22,28,
32,33,80,94,103,107,113,243,272,488,496,538,743,950],[1,2,4,6,7,12,13,15,22,
28,30,39,40,43,60,61,64,80,83,85,101,131,139,208,220,243,252,254,275,294,411,
489,574,745,951],[1,2,4,6,7,12,13,15,22,28,30,39,40,43,44,60,61,64,72,80,85,
90,109,110,125,131,139,208,216,220,224,235,243,252,254,294,334,358,438,449,
507,529,651,745,952],[1,2,3,6,7,8,9,10,14,22,28,32,33,34,36,42,48,50,56,66,80,
83,101,103,104,107,113,121,124,126,130,162,174,243,272,273,276,286,322,488,
489,541,743,751,953],[1,2,6,7,8,9,12,22,29,31,32,33,35,39,44,54,83,105,106,
109,113,115,128,132,171,242,245,250,281,317,319,498,503,514,543,954],[1,2,3,4,
6,7,9,10,12,13,14,16,22,24,28,29,30,33,35,36,37,39,45,50,52,53,57,58,60,63,73,
80,84,89,112,130,135,136,137,139,155,158,159,170,173,185,194,200,242,243,245,
247,249,295,307,328,378,396,397,399,497,502,508,655,744,955],[1,2,4,5,7,9,11,
12,13,15,17,23,26,30,33,41,43,51,54,58,60,61,64,74,76,82,88,98,102,112,129,
152,167,199,203,208,225,233,251,263,268,274,339,422,443,453,486,525,676,749,
761,956],[1,2,4,6,7,11,12,13,15,17,22,24,28,30,39,40,41,43,60,61,64,74,76,80,
87,89,102,125,139,203,208,220,225,233,243,249,269,278,294,347,447,453,487,508,
719,756,764,957],[1,2,4,6,7,11,12,13,22,28,30,39,41,60,72,80,87,90,102,125,
131,139,216,243,278,358,411,487,507,674,756,958],[1,2,3,4,5,7,8,9,10,11,12,13,
14,18,26,30,32,36,37,38,39,41,48,51,55,56,68,69,70,71,73,75,82,86,102,110,114,
122,124,132,134,146,147,155,189,190,202,218,251,277,292,302,320,345,490,492,
550,754,759,959],[1,2,3,4,6,7,9,10,12,13,14,18,21,24,25,29,33,37,42,50,51,52,
53,54,56,58,60,62,63,66,70,71,75,80,97,103,136,137,152,166,172,174,186,188,
196,202,205,211,214,230,244,248,249,279,331,352,381,388,391,392,488,513,716,
742,750,757,960],[1,2,4,5,7,12,13,15,23,26,28,30,39,40,43,60,61,64,82,98,101,
131,139,208,220,251,263,275,294,411,485,525,574,748,752,961],[1,2,4,5,7,9,11,
13,17,26,30,33,41,58,63,74,82,88,96,102,112,129,172,203,251,274,299,422,486,
522,673,749,962],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,24,25,31,33,34,37,42,47,
49,51,54,56,58,60,63,66,67,68,71,75,80,95,103,123,138,144,152,172,174,183,191,
197,202,210,213,217,226,241,248,249,279,298,388,406,416,419,428,488,515,671,
746,750,757,963],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,22,24,29,41,43,44,51,53,
56,58,59,61,62,65,69,70,72,73,74,76,77,81,84,89,166,167,170,179,186,192,193,
215,218,224,225,227,231,232,245,250,253,261,262,342,354,431,437,452,454,458,
497,521,523,734,753,964],[1,2,3,6,7,9,10,12,14,16,22,33,35,36,39,44,45,59,66,
75,83,84,105,109,111,121,135,147,150,161,175,242,247,250,261,304,383,385,503,
514,520,549,965],[1,2,4,5,7,12,13,17,26,28,30,39,60,72,74,82,96,101,131,139,
203,216,251,275,347,358,485,522,701,752,966],[1,2,3,6,7,9,10,14,16,21,22,28,
29,33,35,36,37,45,50,52,53,57,63,66,80,93,103,121,130,136,137,159,173,185,198,
211,213,223,243,244,276,295,331,344,378,413,423,488,505,724,742,751,755,967],[
1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,22,29,30,31,32,36,39,41,44,45,48,51,55,
56,59,62,65,67,68,69,70,71,73,81,83,84,102,106,109,111,122,124,133,134,144,
146,154,155,166,190,193,201,212,218,232,234,245,247,250,253,261,302,321,332,
342,368,474,491,498,514,520,547,753,968],[1,2,3,4,6,9,11,12,13,14,16,17,18,22,
29,40,41,44,49,51,54,56,59,62,64,65,69,70,72,73,74,81,84,90,164,165,166,176,
191,192,193,215,218,228,229,232,233,235,245,250,253,261,342,387,432,436,437,
451,475,500,518,524,731,753,969],[1,2,6,7,8,9,22,28,32,33,63,80,94,107,149,
159,172,243,311,496,548,970],[1,2,3,6,7,8,9,10,14,16,20,21,22,28,31,32,33,34,
35,36,37,38,45,47,49,50,52,57,63,66,80,92,103,121,123,126,130,138,157,159,173,
180,184,185,196,207,217,219,241,243,244,276,298,355,364,390,412,423,488,501,
729,746,751,755,971],[1,2,4,5,7,8,9,12,13,15,23,26,30,32,39,40,43,51,54,55,58,
60,61,64,72,82,98,110,132,134,140,141,151,167,176,187,199,208,215,216,220,251,
263,277,375,405,449,462,490,525,712,754,766,972],[1,2,4,5,7,8,9,12,13,17,26,
30,32,39,49,51,53,55,74,82,96,110,132,134,156,165,179,192,195,203,221,251,277,
363,374,490,522,653,754,973],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,21,22,24,25,
31,33,34,35,37,42,47,49,51,53,54,56,58,60,63,66,67,68,71,75,83,89,90,91,92,93,
94,95,97,105,117,120,138,143,144,148,152,158,172,174,177,178,183,194,198,202,
204,206,207,210,213,217,222,226,242,246,256,257,258,260,265,266,271,349,361,
416,417,420,428,439,442,472,473,499,502,503,504,506,511,512,531,696,768,769,
773,776,777,779,781,974],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,21,22,24,25,28,30,
32,33,34,36,39,42,50,60,62,65,67,68,69,70,71,75,80,83,89,90,91,92,93,94,95,97,
101,104,107,122,126,129,130,131,132,133,139,146,147,154,161,171,175,226,230,
241,243,244,246,248,249,256,257,258,260,265,266,273,275,301,326,348,357,376,
377,408,489,495,496,501,505,507,508,513,515,531,616,747,760,767,770,771,778,
780,975],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,21,22,24,25,29,31,32,34,35,38,42,
47,48,49,50,52,53,54,55,57,58,60,62,63,66,67,68,70,71,75,83,89,90,91,92,93,94,
95,97,106,117,118,119,145,148,149,151,156,157,162,164,170,178,180,181,182,183,
188,189,194,198,200,201,204,206,207,209,210,211,214,217,219,222,223,226,230,
245,246,256,257,258,260,265,266,293,384,421,429,430,433,440,445,457,461,463,
469,471,472,473,493,494,497,498,500,509,510,531,733,758,762,763,765,772,774,
775,976],[1,2,5,7,19,28,82,100,101,485,741,977],[1,2,3,4,7,8,9,10,11,12,13,14,
16,18,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,47,48,50,51,52,54,55,56,
57,58,59,60,62,65,66,67,68,69,70,71,73,75,101,102,103,104,105,106,107,109,110,
111,112,113,114,115,116,121,122,124,125,126,127,128,129,130,131,132,133,134,
135,136,138,139,144,146,147,150,151,152,154,155,157,161,162,166,171,173,174,
175,180,183,184,185,188,189,190,193,201,202,210,212,214,218,226,230,232,234,
272,273,274,275,276,277,278,280,281,283,284,285,286,288,290,291,292,295,300,
301,302,303,304,305,306,308,309,312,317,318,319,320,321,322,325,326,328,329,
332,334,336,338,342,345,346,348,350,356,357,360,362,365,368,369,371,376,377,
380,381,383,385,398,400,403,408,412,424,426,428,469,474,539,540,541,543,544,
547,549,550,557,562,563,566,568,570,573,578,582,585,586,587,591,593,595,596,
597,616,621,633,638,644,658,661,663,672,688,693,704,723,796,799,820,828,865,
872,978],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,32,33,35,36,39,41,47,50,51,52,
54,55,57,58,60,63,66,68,69,70,71,73,102,103,105,107,112,113,115,116,121,122,
125,127,129,130,134,135,139,146,149,151,152,155,159,161,171,172,173,175,180,
190,210,214,218,272,274,276,278,281,283,284,288,290,291,301,302,303,304,308,
311,318,328,338,362,371,380,382,388,398,408,410,423,425,426,538,539,557,563,
564,578,585,587,607,621,623,626,628,796,807,810,979],[1,2,3,4,7,8,9,10,11,12,
13,14,18,28,30,32,33,35,36,39,41,42,47,48,49,50,51,52,53,54,55,56,57,58,60,66,
68,69,70,71,73,102,103,104,105,107,112,113,115,116,121,122,123,124,125,127,
129,130,134,135,137,139,146,151,152,155,156,161,162,171,173,174,175,177,180,
186,190,191,197,198,205,207,210,214,218,219,223,272,274,276,278,279,281,283,
284,286,288,290,291,301,302,303,304,308,316,318,324,328,337,338,341,344,349,
362,371,372,373,380,390,391,398,402,408,419,426,430,435,539,542,557,563,565,
578,579,585,587,588,590,615,617,621,630,636,637,796,802,806,829,888,980],[1,2,
3,4,7,8,9,10,12,13,14,15,16,28,29,30,32,33,35,36,37,39,40,43,45,47,50,51,52,
54,55,57,58,60,61,63,64,68,70,103,105,107,112,113,115,116,118,119,120,127,129,
130,134,136,139,140,141,142,146,149,151,152,159,163,167,169,171,172,173,175,
176,180,181,185,194,199,200,204,208,220,272,281,282,283,284,288,290,291,294,
295,299,311,313,314,315,330,333,339,361,375,379,382,388,394,399,408,410,414,
423,425,426,440,538,545,546,548,556,557,564,567,577,584,600,601,603,607,609,
623,624,634,640,810,812,823,891,981],[1,2,3,4,7,8,9,10,12,13,14,16,17,28,29,
30,32,33,35,36,37,39,45,47,50,51,52,54,55,57,58,60,63,68,70,74,103,105,107,
112,113,115,116,118,119,120,127,129,130,134,136,139,142,146,149,151,152,159,
163,169,171,172,173,175,180,181,185,192,194,200,203,204,221,272,281,282,283,
284,288,290,291,295,311,314,330,333,347,361,363,379,394,399,408,410,414,422,
423,425,426,440,546,557,564,567,583,601,608,609,623,624,626,628,629,634,640,
807,812,830,914,982],[1,2,3,4,7,8,9,10,11,12,13,14,16,18,28,29,30,32,33,35,36,
37,39,41,45,47,50,51,52,53,54,55,57,58,60,63,66,68,69,70,71,73,102,103,105,
107,112,113,115,116,118,119,120,121,122,125,127,129,130,134,135,136,137,139,
142,146,149,151,152,155,158,159,161,163,169,170,171,172,173,175,180,181,185,
190,194,198,200,204,209,210,211,213,214,218,222,223,272,274,276,278,281,282,
283,284,288,289,290,291,295,301,302,303,304,307,308,311,314,318,328,330,331,
333,338,344,361,362,366,371,378,379,380,394,396,397,398,399,408,413,414,423,
425,426,433,439,440,441,471,539,546,552,554,557,559,563,567,571,578,581,585,
587,601,602,605,609,611,618,621,623,624,627,634,640,655,718,722,724,796,804,
812,827,837,842,844,881,882,983],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,
32,33,34,35,36,37,38,39,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,
63,65,66,67,68,69,70,71,73,75,101,103,104,105,106,107,108,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,166,168,169,170,171,172,173,174,175,177,178,
180,181,182,183,184,185,188,189,194,196,198,200,201,202,204,206,207,209,210,
211,213,214,217,219,222,223,226,230,232,234,271,272,273,275,276,280,281,282,
283,284,285,286,287,288,289,290,291,293,295,296,297,298,300,301,303,304,305,
306,307,309,310,311,312,314,318,319,320,321,322,323,324,325,326,327,328,329,
330,331,333,335,340,343,344,345,348,349,352,355,356,357,359,360,361,364,365,
366,367,368,370,372,376,377,378,379,380,381,383,384,389,390,394,395,396,397,
398,399,403,407,408,412,413,414,415,416,417,418,420,421,423,424,425,426,427,
428,429,430,433,434,439,440,441,442,444,445,457,461,463,465,466,467,469,471,
472,473,541,544,546,552,553,557,558,560,562,566,567,569,570,572,573,575,580,
581,586,590,592,593,598,599,601,604,606,609,610,611,613,616,620,621,622,623,
624,627,634,638,640,641,642,645,646,655,658,660,662,669,678,681,692,694,696,
697,702,704,707,709,714,717,718,721,722,723,724,726,729,730,733,793,811,812,
820,821,822,825,832,842,855,858,877,889,893,898,903,905,984],[1,2,3,4,7,8,9,
10,12,13,14,16,28,29,30,32,33,35,36,37,39,42,45,47,48,49,50,51,52,53,54,55,56,
57,58,60,63,65,66,68,70,75,103,104,105,107,112,113,115,116,118,119,120,121,
123,124,127,128,129,130,131,133,134,135,136,137,139,142,146,147,149,151,152,
156,159,161,162,163,165,169,171,172,173,174,175,177,179,180,181,185,186,191,
194,195,197,198,200,204,205,207,219,223,272,279,280,281,282,283,284,286,287,
288,289,290,291,295,297,304,311,314,316,324,325,330,333,337,341,344,349,356,
357,361,370,372,373,374,379,386,390,391,392,393,394,397,399,401,402,404,406,
408,411,414,419,423,425,426,430,435,440,448,542,546,551,557,561,565,566,567,
569,579,581,588,589,590,594,601,604,609,612,617,623,624,630,634,635,636,639,
640,642,649,656,659,660,666,812,815,821,829,843,870,895,896,899,985],[1,2,3,4,
7,8,9,10,12,13,14,28,30,32,33,35,36,39,47,49,50,51,52,53,54,55,57,58,60,63,68,
70,103,105,107,112,113,115,116,123,127,128,129,130,131,134,135,137,139,146,
151,152,156,159,165,171,173,175,177,179,180,195,209,222,272,280,281,283,284,
288,289,290,291,324,330,337,341,366,370,374,378,386,393,397,408,411,426,551,
557,559,561,565,571,611,612,615,618,637,642,804,806,815,986],[1,2,3,4,7,8,9,
10,12,13,14,17,28,30,32,33,35,36,39,47,50,51,52,53,54,55,57,58,60,63,68,70,74,
103,105,107,112,113,115,116,127,129,130,134,137,139,146,149,151,152,159,171,
172,173,175,180,192,203,209,221,222,272,281,283,284,288,289,290,291,311,330,
347,363,366,378,382,388,408,410,422,423,425,426,538,557,559,564,571,583,607,
608,611,618,623,629,804,810,830,987],[1,2,3,4,7,8,9,10,12,13,14,16,17,18,28,
29,30,31,32,33,34,35,36,37,38,39,42,45,47,48,50,51,52,54,55,56,57,58,59,60,62,
65,66,67,68,69,70,71,72,73,74,75,101,103,104,105,106,107,111,112,113,114,115,
116,121,122,124,126,127,128,129,130,131,132,133,134,135,136,138,139,144,146,
147,150,151,152,154,155,157,161,162,166,171,173,174,175,180,183,184,185,187,
188,189,192,201,202,203,210,214,215,216,221,226,230,232,234,272,273,275,276,
280,281,283,284,285,286,288,290,291,295,300,301,303,304,305,306,309,312,318,
319,320,321,322,325,326,328,329,345,347,348,353,356,357,358,360,363,365,368,
376,377,380,381,383,398,403,405,408,412,422,424,426,428,437,459,469,478,541,
544,557,562,566,570,573,583,586,593,608,616,621,625,629,632,638,643,648,658,
701,704,713,723,728,813,820,830,834,900,988],[1,2,3,4,7,8,9,10,12,13,14,16,28,
29,30,31,32,33,34,35,36,37,38,39,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,
62,63,65,66,67,68,70,73,75,103,105,106,107,109,110,112,113,114,115,116,117,
118,119,120,121,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,142,143,144,145,146,147,148,150,151,152,153,154,155,156,157,158,159,
160,161,163,164,166,168,169,170,171,173,175,177,178,180,181,183,184,185,188,
193,196,198,201,204,209,212,217,222,223,271,272,277,280,281,282,283,284,285,
287,288,289,290,291,293,296,297,298,300,304,307,309,310,312,317,318,319,321,
322,323,324,326,327,329,330,331,332,334,335,336,338,340,344,345,346,355,356,
360,362,365,366,367,369,371,376,377,378,379,380,385,389,395,397,400,403,408,
412,414,415,417,421,424,425,426,427,463,466,467,472,543,552,553,557,558,559,
560,568,569,570,571,572,581,582,585,591,592,593,595,597,599,602,610,611,618,
619,620,631,634,641,646,672,681,688,714,717,723,795,804,811,814,817,826,828,
837,839,852,898,989],[1,2,3,4,7,8,9,10,12,13,14,28,29,30,31,32,33,34,35,36,37,
38,39,42,44,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,65,66,67,68,70,73,75,
103,104,105,106,107,109,110,112,113,114,115,116,121,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,144,146,147,149,150,151,152,154,
155,156,157,159,161,162,166,171,172,173,174,175,177,180,183,186,188,191,193,
196,197,198,201,205,207,211,212,213,217,219,223,272,277,279,280,281,283,284,
285,286,288,290,291,300,304,309,311,312,316,317,318,319,321,322,324,326,329,
332,334,336,337,338,341,344,345,346,349,352,355,356,359,360,362,365,369,371,
372,373,376,377,380,384,385,390,391,400,402,403,408,410,413,416,419,424,426,
430,435,448,542,543,557,564,565,568,570,579,580,582,585,588,590,591,593,594,
595,597,617,626,628,630,636,647,672,677,680,688,689,723,807,809,828,829,833,
849,876,916,990],[1,2,3,4,7,8,9,10,11,12,13,14,18,28,30,32,33,35,36,39,41,47,
49,50,51,52,53,54,55,57,58,60,66,68,69,70,71,72,73,102,103,105,107,112,113,
115,116,121,122,123,125,127,128,129,130,131,134,135,137,139,146,151,152,155,
156,161,165,171,173,175,177,179,180,187,190,195,210,214,215,216,218,272,274,
276,278,280,281,283,284,288,290,291,301,302,303,304,308,318,324,328,338,353,
358,362,370,371,374,380,386,393,397,398,405,408,411,426,451,452,539,551,557,
561,563,578,585,587,612,621,625,632,642,643,674,705,720,727,796,813,815,867,
885,991],[1,2,3,4,7,8,9,10,12,13,14,15,28,29,30,31,32,33,34,35,36,37,38,39,40,
43,44,47,48,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,72,73,75,
103,105,106,107,109,110,112,113,114,115,116,121,124,125,126,127,128,129,130,
131,132,133,134,135,136,138,139,140,141,144,146,147,149,150,151,152,154,155,
157,159,161,166,167,171,172,173,175,176,180,181,183,187,188,193,194,199,200,
201,204,208,212,215,216,220,224,227,228,235,272,277,280,281,283,284,285,288,
290,291,294,299,300,304,309,311,312,313,315,317,318,319,321,322,326,329,332,
334,336,338,339,345,346,353,356,358,360,361,362,365,369,371,375,376,377,379,
380,382,385,388,394,399,400,403,405,408,424,426,431,432,438,440,449,450,462,
477,543,545,556,557,568,570,577,582,584,585,591,593,595,597,600,603,607,625,
632,640,643,651,668,670,672,688,695,700,703,712,723,725,813,823,828,850,860,
887,892,904,992],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,32,33,34,35,36,
37,38,39,42,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,
70,71,73,75,101,103,104,105,106,107,111,112,113,114,115,116,121,122,123,124,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,144,146,147,149,150,
151,152,154,155,156,157,159,161,162,166,171,172,173,174,175,177,180,183,184,
185,186,188,189,191,196,197,198,201,202,205,207,210,211,213,214,217,219,223,
226,230,232,234,272,273,275,276,279,280,281,283,284,285,286,288,290,291,295,
298,300,301,303,304,305,306,309,310,311,312,316,318,319,320,321,322,324,325,
326,328,329,331,337,340,341,344,345,348,349,352,355,356,357,359,360,364,365,
368,372,373,376,377,378,380,381,382,383,384,388,390,391,392,398,402,403,406,
408,410,412,413,416,419,423,424,425,426,428,430,435,448,469,538,541,542,544,
557,562,564,565,566,570,573,579,580,586,588,590,593,594,607,612,613,616,617,
620,621,623,630,635,636,638,658,664,671,677,689,699,702,704,716,717,723,724,
729,794,809,810,818,820,824,829,862,863,889,899,993],[1,2,3,4,7,8,9,10,12,13,
14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,101,103,104,105,106,107,111,
112,113,114,115,116,121,122,123,124,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,144,146,147,149,150,151,152,154,155,156,157,159,161,162,166,
171,172,173,174,175,177,180,182,183,184,185,188,189,201,202,206,209,210,214,
222,226,230,232,234,272,273,275,276,280,281,283,284,285,286,287,288,289,290,
291,295,297,300,301,303,304,305,306,309,311,312,314,318,319,320,321,322,324,
325,326,328,329,330,345,348,356,357,360,364,365,366,368,376,377,378,380,381,
383,398,403,407,408,412,418,420,424,426,428,461,469,541,544,554,555,557,559,
562,566,567,569,570,571,573,586,593,598,602,605,611,613,614,616,618,619,621,
622,631,638,645,658,704,723,804,808,820,825,839,840,882,884,890,994],[1,2,3,4,
7,8,9,10,12,13,14,28,30,32,33,35,36,39,42,47,48,49,50,51,52,53,54,55,56,57,58,
60,63,66,68,70,72,103,104,105,107,112,113,115,116,121,123,124,127,129,130,134,
137,139,146,151,152,156,159,162,171,173,174,175,177,180,186,187,191,197,198,
205,207,209,215,216,219,222,223,272,279,281,283,284,286,288,289,290,291,316,
324,330,337,341,344,349,353,358,366,372,373,378,390,391,402,405,408,419,426,
430,435,542,557,559,565,571,579,588,590,611,617,618,625,630,632,636,643,804,
813,829,835,841,995],[1,2,3,4,7,8,9,10,12,13,14,15,28,30,32,33,35,36,39,40,43,
47,49,50,51,52,53,54,55,57,58,60,61,63,64,68,70,103,105,107,112,113,115,116,
123,127,129,130,134,137,139,140,141,146,149,151,152,156,159,167,171,172,173,
175,176,177,180,181,182,194,199,200,204,206,208,220,272,281,283,284,287,288,
290,291,294,299,311,313,315,324,330,337,339,341,361,364,375,379,382,388,394,
399,407,408,426,440,545,554,555,556,557,565,577,584,598,600,603,607,615,631,
637,640,806,808,823,854,856,996],[1,2,3,4,7,8,9,10,12,13,14,28,30,32,33,35,36,
39,47,49,50,51,52,54,55,57,58,60,63,68,70,72,103,105,107,112,113,115,116,123,
127,129,130,134,139,146,149,151,152,159,171,172,173,175,180,182,187,206,215,
216,272,281,283,284,287,288,290,291,311,330,353,358,364,382,388,405,407,408,
410,423,425,426,538,554,555,557,564,598,607,623,625,631,632,643,808,810,813,
997],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,31,32,33,34,35,36,37,38,39,45,47,
49,50,51,52,53,54,55,57,58,60,62,63,67,68,70,103,105,106,107,112,113,114,115,
116,117,118,119,120,123,126,127,128,129,130,131,132,134,135,136,137,138,139,
142,143,145,146,148,149,151,152,153,154,156,157,158,159,160,161,163,164,165,
168,169,170,171,172,173,175,177,178,179,180,182,184,185,195,206,209,222,271,
272,280,281,282,283,284,285,287,288,289,290,291,293,296,297,298,300,307,310,
311,312,318,319,323,324,327,331,335,337,340,341,366,367,370,374,377,382,386,
388,389,393,395,396,397,401,404,407,408,410,411,412,414,415,417,418,420,421,
423,425,426,427,461,538,551,552,553,557,558,560,561,564,565,569,570,572,589,
592,606,607,610,612,620,622,623,639,641,642,650,654,667,681,684,692,709,722,
810,811,815,824,832,843,853,859,878,998],[1,2,3,4,7,8,9,10,12,13,14,15,16,18,
28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,101,103,104,105,106,107,
111,112,113,114,115,116,121,122,123,124,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,143,144,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,161,162,164,165,166,167,168,170,171,172,173,174,175,176,177,
178,179,180,181,183,184,185,186,188,189,191,194,195,197,199,200,201,202,204,
205,208,210,214,220,226,230,232,234,272,273,275,276,280,281,283,284,285,286,
288,290,291,294,295,296,299,300,301,303,304,305,306,307,309,311,312,313,315,
318,319,320,321,322,323,324,325,326,327,328,329,339,345,348,351,354,356,357,
360,361,364,365,367,368,370,373,374,375,376,377,378,379,380,381,382,383,386,
387,388,391,393,394,395,396,397,398,399,402,403,408,409,411,412,417,419,421,
424,426,427,428,435,440,446,448,456,460,464,468,469,470,541,544,545,551,556,
557,561,562,566,570,573,574,576,577,584,586,589,592,593,594,600,603,606,607,
612,613,616,617,621,638,640,642,655,658,665,675,686,694,704,706,708,711,714,
721,723,798,803,805,815,816,820,823,853,858,863,895,999],[1,2,3,4,7,8,9,10,12,
13,14,28,30,32,33,35,36,39,47,49,50,51,52,53,54,55,57,58,60,63,68,70,103,105,
107,112,113,115,116,123,127,128,129,130,131,134,135,137,139,146,149,151,152,
156,159,165,171,172,173,175,177,179,180,182,195,206,272,280,281,283,284,287,
288,290,291,311,324,330,364,370,374,386,393,397,407,408,410,411,426,551,554,
555,557,561,564,598,612,626,628,631,642,807,808,815,1000],[1,2,3,4,7,8,9,10,
12,13,14,16,17,28,29,30,31,32,33,34,35,36,37,38,39,45,47,49,50,51,52,53,54,55,
57,58,60,68,70,74,103,105,106,107,112,113,114,115,116,117,118,119,120,123,126,
127,129,130,134,136,137,138,139,142,143,145,146,148,151,152,153,156,157,158,
160,163,164,168,169,170,171,173,175,177,178,180,184,185,192,203,221,271,272,
281,282,283,284,285,287,288,289,290,291,293,296,297,298,307,310,323,324,327,
331,335,337,340,341,347,363,367,389,408,412,414,415,417,421,422,426,427,552,
553,557,558,560,565,569,572,583,592,608,610,615,620,629,637,641,806,811,830,
868,871,1001],[1,2,3,4,7,8,9,10,12,13,14,17,28,30,32,33,35,36,39,42,47,48,49,
50,51,52,53,54,55,56,57,58,60,63,66,68,70,74,103,104,105,107,112,113,115,116,
121,123,124,127,129,130,134,137,139,146,151,152,156,159,162,171,173,174,175,
177,180,182,186,191,192,197,198,203,205,206,207,219,221,223,272,279,281,283,
284,286,287,288,290,291,316,324,330,337,341,344,347,349,363,364,372,373,390,
391,402,407,408,419,422,426,430,435,542,554,555,557,565,579,583,588,590,598,
608,617,629,630,631,636,808,829,830,857,883,1002],[1,2,3,4,7,8,9,10,11,12,13,
14,15,17,18,28,30,32,33,35,36,39,40,41,43,47,50,51,52,54,55,57,58,60,61,63,64,
66,68,69,70,71,73,74,76,77,102,103,105,107,112,113,115,116,121,122,125,127,
129,130,134,135,139,140,141,146,149,151,152,155,159,161,167,171,172,173,175,
176,180,181,190,192,194,199,200,203,204,208,210,214,218,220,221,225,229,231,
233,272,274,276,278,281,283,284,288,290,291,294,299,301,302,303,304,308,311,
313,315,318,328,338,339,347,361,362,363,371,375,379,380,382,388,394,398,399,
408,422,426,436,440,443,447,453,454,455,476,539,545,556,557,563,577,578,583,
584,585,587,600,603,607,608,621,629,640,673,676,682,687,690,710,715,719,796,
823,830,838,845,848,873,912,1003],[1,2,3,4,7,8,9,10,12,13,14,15,28,30,32,33,
35,36,39,40,43,47,50,51,52,53,54,55,57,58,60,61,63,64,68,70,103,105,107,112,
113,115,116,127,129,130,134,137,139,140,141,146,149,151,152,159,167,171,172,
173,175,176,180,181,194,199,200,204,208,209,220,222,272,281,283,284,288,289,
290,291,294,299,311,313,315,330,339,361,366,375,378,379,382,388,394,399,408,
410,426,440,545,556,557,559,564,571,577,584,600,603,607,611,618,626,628,640,
804,807,823,879,897,1004],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,31,32,33,34,
35,36,37,38,39,44,45,47,48,49,50,51,52,54,55,56,57,58,60,62,63,65,66,67,68,70,
73,75,103,105,106,107,109,110,112,113,114,115,116,118,119,120,121,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,138,139,142,143,144,146,147,149,
150,151,152,154,155,157,159,161,163,164,166,169,171,172,173,175,180,181,182,
183,185,188,193,194,200,201,204,206,207,211,212,213,219,272,277,280,281,282,
283,284,285,287,288,290,291,295,300,304,309,310,311,312,314,317,318,319,321,
322,326,327,329,330,332,333,334,336,338,345,346,356,360,361,362,364,365,369,
370,371,376,377,379,380,385,390,394,396,399,400,403,407,408,413,414,423,424,
425,426,440,442,445,457,465,543,546,554,555,557,559,560,567,568,570,582,585,
591,593,595,597,598,601,604,605,609,614,623,624,627,631,634,640,669,672,688,
702,709,721,723,808,812,826,828,844,880,890,893,894,1005],[1,2,3,4,7,8,9,10,
11,12,13,14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,41,45,47,49,50,51,52,53,
54,55,57,58,60,63,66,68,69,70,71,73,102,103,105,106,107,112,113,114,115,116,
117,118,119,120,121,122,123,125,126,127,129,130,134,135,136,137,138,139,142,
143,145,146,148,151,152,153,155,156,157,158,159,160,161,163,164,168,169,170,
171,173,175,177,178,180,182,184,185,190,194,196,200,206,207,210,214,217,218,
219,271,272,274,276,278,281,282,283,284,285,287,288,289,290,291,293,296,297,
298,301,302,303,304,307,308,310,318,323,324,327,328,330,331,335,338,340,355,
362,364,367,370,371,380,389,390,395,398,399,407,408,412,414,415,417,421,423,
426,427,429,434,444,473,539,552,553,554,555,557,558,560,563,569,572,578,585,
587,592,598,599,604,609,610,614,618,619,620,621,631,641,692,694,726,729,796,
797,808,811,819,827,831,852,855,884,894,1006],[1,2,3,4,7,8,9,10,12,13,14,16,
28,29,30,32,33,35,36,37,39,45,47,49,50,51,52,53,54,55,57,58,60,63,68,70,72,
103,105,107,112,113,115,116,118,119,120,123,127,129,130,134,136,137,139,142,
146,149,151,152,156,159,163,169,171,172,173,175,177,180,181,185,187,194,200,
204,215,216,272,281,282,283,284,288,290,291,295,311,314,324,330,333,337,341,
353,358,361,379,394,399,405,408,414,423,425,426,440,546,557,565,567,601,609,
615,623,624,625,632,634,637,640,643,806,812,813,911,1007],[1,2,3,4,7,8,9,10,
12,13,14,28,29,30,31,32,33,34,35,36,37,38,39,44,47,48,49,50,51,52,53,54,55,56,
57,58,60,62,63,65,66,67,68,70,73,75,103,105,106,107,109,110,112,113,114,115,
116,121,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
144,146,147,149,150,151,152,154,155,156,157,159,161,166,171,172,173,175,177,
180,183,188,193,201,212,272,277,280,281,283,284,285,288,290,291,298,300,304,
309,310,311,312,317,318,319,321,322,324,326,329,331,332,334,336,337,338,340,
341,345,346,356,360,362,365,369,371,376,377,380,382,385,388,400,403,408,410,
423,424,425,426,538,543,557,564,565,568,570,582,585,591,593,595,597,607,612,
615,620,623,637,647,672,680,688,723,806,810,824,828,876,1008],[1,2,3,4,7,8,9,
10,12,13,14,15,16,18,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,47,48,49,
50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,75,103,104,105,
106,107,112,113,114,115,116,117,118,119,120,121,122,123,124,126,127,129,130,
134,136,137,138,139,140,141,142,143,144,145,146,147,148,149,151,152,153,154,
156,157,158,159,160,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,188,189,191,194,195,196,197,198,
199,200,201,202,204,205,206,207,208,209,210,211,213,214,217,219,220,222,223,
226,230,271,272,279,281,282,283,284,285,286,287,288,289,290,291,293,294,296,
297,298,299,303,307,309,310,311,313,315,316,320,321,323,324,327,331,335,337,
339,340,341,344,348,349,351,352,354,355,359,361,366,367,372,373,374,375,379,
381,382,384,386,387,388,389,390,391,392,393,394,399,401,402,404,406,407,408,
409,412,413,414,415,416,417,418,419,420,421,426,427,428,429,430,433,434,435,
439,440,441,442,444,445,446,456,457,460,461,463,464,465,466,467,468,469,470,
471,472,473,542,545,552,553,556,557,558,560,561,562,565,569,572,577,579,580,
584,588,590,592,600,603,607,610,617,620,622,630,635,636,639,640,641,646,649,
650,652,654,656,657,659,664,665,666,667,669,671,675,678,684,686,691,696,697,
698,699,706,707,708,711,716,718,726,730,733,803,811,823,829,846,847,859,862,
866,869,875,877,896,907,915,1009],[1,2,3,4,7,8,9,10,12,13,14,17,28,29,30,31,
32,33,34,35,36,37,38,39,44,47,48,49,50,51,52,53,54,55,56,57,58,60,62,65,66,67,
68,70,73,74,75,103,105,106,107,109,110,112,113,114,115,116,121,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,144,146,147,150,151,
152,154,155,156,157,161,165,166,171,173,175,177,179,180,183,188,192,193,195,
201,203,212,221,272,277,280,281,283,284,285,288,290,291,300,304,309,312,317,
318,319,321,322,324,326,329,332,334,336,338,345,346,347,356,360,362,363,365,
369,370,371,374,376,377,380,385,386,393,397,400,403,408,411,422,424,426,458,
475,543,551,557,561,568,570,582,583,585,591,593,595,597,608,612,629,642,653,
672,679,683,685,688,723,815,828,830,836,864,1010],[1,2,3,4,7,8,9,10,12,13,14,
16,18,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,101,103,104,105,106,107,111,112,
113,114,115,116,121,122,123,124,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,144,146,147,149,150,151,152,154,155,156,157,159,161,162,166,171,
172,173,174,175,177,180,183,184,185,188,189,201,202,210,214,226,230,232,234,
272,273,275,276,280,281,283,284,285,286,288,290,291,295,300,301,303,304,305,
306,309,311,312,318,319,320,321,322,324,325,326,328,329,337,341,345,348,356,
357,360,364,365,368,376,377,378,380,381,383,392,398,403,406,408,410,412,424,
426,428,469,541,544,557,562,564,565,566,570,573,586,593,613,615,616,621,626,
628,635,637,638,647,658,680,704,723,806,807,818,820,876,1011],[1,2,3,4,7,8,9,
10,12,13,14,16,28,29,30,31,32,33,34,35,36,37,38,39,45,47,49,50,51,52,53,54,55,
57,58,60,63,68,70,72,103,105,106,107,112,113,114,115,116,117,118,119,120,123,
126,127,129,130,134,136,137,138,139,142,143,145,146,148,149,151,152,153,156,
157,158,159,160,163,164,168,169,170,171,172,173,175,177,178,180,184,185,187,
215,216,271,272,281,282,283,284,285,287,288,289,290,291,293,296,297,298,307,
310,311,323,324,327,331,335,340,353,358,367,389,405,408,410,412,414,415,417,
421,426,427,552,553,557,558,560,564,569,572,592,610,620,625,626,628,632,641,
643,807,811,813,851,874,1012],[1,2,3,4,7,8,9,10,12,13,14,15,17,18,30,31,33,34,
35,36,37,39,42,43,47,49,51,53,54,56,57,58,60,61,63,64,66,67,68,69,71,73,74,75,
77,103,105,112,115,116,117,120,121,122,123,125,129,135,138,143,144,148,152,
155,158,159,161,165,167,168,172,174,175,177,178,183,186,191,194,195,196,197,
198,199,202,203,204,205,206,207,208,210,213,217,219,222,223,226,229,231,271,
279,284,287,290,296,298,299,304,308,330,337,339,349,351,355,361,371,372,373,
386,388,395,398,401,402,406,416,417,419,420,422,428,439,442,446,447,455,460,
470,472,473,554,558,563,579,583,584,599,614,615,630,637,666,667,671,675,691,
696,710,715,819,854,866,871,873,883,888,1013],[1,2,3,4,7,8,9,10,12,13,14,16,
18,28,29,30,32,33,34,35,36,37,38,39,42,44,45,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,62,63,65,66,67,68,69,70,71,73,75,103,104,105,107,109,110,111,112,113,
114,115,116,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,139,142,143,146,147,150,154,155,156,158,159,161,162,163,164,
169,170,171,173,174,175,177,180,181,182,183,184,185,188,189,193,194,198,200,
202,204,206,207,209,210,211,212,213,214,219,222,223,226,230,232,234,276,280,
281,282,283,284,286,287,289,290,292,295,297,300,301,303,304,305,306,307,308,
309,310,312,317,318,320,322,324,325,327,328,329,330,331,332,333,334,336,338,
344,345,346,348,349,350,356,357,360,362,364,365,366,368,369,370,371,372,376,
377,378,379,380,383,385,390,396,397,398,399,400,403,407,408,413,414,423,424,
425,426,430,433,439,441,442,445,457,465,471,546,549,552,555,560,563,566,568,
569,571,581,582,585,590,593,598,602,604,605,609,611,614,618,619,621,627,631,
633,634,638,642,644,655,658,660,661,663,669,672,688,693,702,704,709,718,721,
722,724,817,821,831,837,839,840,842,861,872,880,881,884,893,894,1014],[1,2,3,
4,7,8,9,10,12,13,14,18,29,31,32,33,35,37,39,40,42,44,48,49,50,51,52,53,54,56,
57,58,60,61,62,63,64,66,70,71,72,75,105,106,109,113,115,119,123,128,132,136,
143,149,152,153,159,162,163,164,165,166,168,170,171,172,173,174,176,177,181,
182,188,191,194,195,196,197,198,199,202,204,205,207,209,211,214,216,217,220,
224,230,235,281,282,287,310,313,315,316,317,319,327,330,341,349,352,353,361,
373,379,381,382,384,386,387,401,406,410,418,419,425,427,433,434,438,448,457,
462,464,467,468,470,543,559,560,588,603,628,631,632,634,647,650,657,664,666,
670,677,678,708,725,826,833,835,874,875,879,887,1015],[1,2,3,4,7,8,9,10,12,13,
14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,48,49,50,51,52,53,54,55,
56,57,58,60,62,63,65,66,67,68,69,70,71,75,103,104,105,106,107,112,113,114,115,
116,117,118,119,120,121,122,123,124,126,127,128,130,131,132,133,134,135,136,
137,138,139,142,143,144,145,146,147,148,149,151,152,153,154,156,157,158,159,
160,161,162,163,164,166,168,169,170,171,172,173,174,175,177,178,180,181,182,
183,184,185,186,188,189,191,194,196,197,198,200,201,202,204,205,206,207,209,
210,211,213,214,217,219,222,223,226,230,271,272,279,280,282,283,285,286,291,
293,296,298,299,300,303,304,307,309,310,311,312,313,314,316,318,319,320,321,
323,324,325,327,330,331,335,340,344,348,349,352,355,356,357,359,361,366,367,
370,372,373,377,379,381,382,384,388,389,390,391,392,394,395,396,397,399,401,
402,404,406,407,410,411,412,413,414,415,416,417,418,419,420,421,423,425,427,
428,429,430,433,434,435,439,440,441,442,444,445,448,457,461,463,465,466,467,
469,471,472,473,542,548,551,556,562,564,566,567,570,572,580,589,590,592,594,
599,606,607,612,617,620,622,623,627,635,639,640,642,646,652,657,662,664,669,
671,677,678,681,689,691,692,696,697,698,699,707,709,716,718,722,726,730,733,
805,809,822,832,847,853,862,870,877,878,886,891,895,899,1016],[1,2,3,4,7,8,9,
10,11,12,13,14,15,17,18,28,30,32,33,34,36,39,40,41,42,43,44,50,51,54,55,58,60,
61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,101,102,104,107,109,110,112,115,
122,125,126,128,129,130,131,132,133,134,135,139,140,141,146,147,150,151,152,
154,155,161,167,171,175,176,187,190,192,193,199,203,208,212,215,216,218,220,
221,224,225,226,227,228,229,230,231,233,235,273,274,275,277,278,280,291,292,
294,301,302,305,308,315,317,326,328,329,332,334,336,338,339,346,347,348,350,
353,357,358,360,362,363,369,371,375,376,377,385,400,405,408,411,422,431,432,
436,438,443,447,449,450,453,454,455,462,476,477,540,545,551,573,574,576,587,
591,596,616,625,629,644,651,661,668,670,674,676,682,683,685,687,688,690,695,
700,701,710,712,713,719,727,798,799,845,860,864,885,900,909,910,913,917,
1017],[1,2,3,4,7,8,9,10,12,13,14,18,29,31,32,33,34,35,37,39,40,42,44,47,48,49,
51,53,54,56,58,60,61,63,64,66,67,68,71,72,75,105,106,109,113,115,117,120,128,
132,137,138,143,144,148,149,152,153,158,162,171,172,174,176,177,178,179,183,
186,191,194,195,198,199,202,204,205,206,207,210,211,213,216,217,220,222,224,
226,235,271,281,289,313,315,316,317,319,323,340,341,349,353,361,373,382,384,
391,392,393,404,409,410,416,417,420,428,438,439,442,448,456,460,462,464,472,
473,543,553,571,588,603,628,632,647,649,654,670,677,696,698,699,706,725,795,
833,841,846,851,887,897,1018],[1,2,3,4,7,8,9,10,12,13,14,16,28,29,30,31,32,33,
34,35,36,37,38,39,42,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,66,73,
101,103,104,105,106,107,111,112,113,114,115,116,121,123,124,126,127,128,130,
131,134,135,136,137,138,139,143,148,149,150,151,152,153,155,156,157,158,159,
162,164,165,168,170,172,173,174,177,178,179,180,181,182,184,185,186,191,194,
195,196,197,198,200,204,205,206,207,209,211,213,217,219,222,223,272,273,275,
276,280,283,285,286,287,289,291,295,296,297,298,299,305,306,307,310,311,313,
314,322,323,324,327,328,329,330,331,337,340,341,344,349,352,355,359,360,361,
364,366,367,370,372,373,374,378,379,382,384,386,388,390,391,392,393,394,395,
396,397,399,401,402,404,406,407,410,412,413,416,417,418,419,420,421,423,425,
427,430,435,440,448,461,541,544,548,556,561,564,565,567,569,573,580,589,590,
592,594,598,606,607,611,612,613,617,620,622,623,635,639,640,642,645,649,650,
652,654,655,656,657,659,666,667,684,691,694,698,702,714,717,721,724,729,800,
816,818,825,843,847,858,859,863,870,878,886,889,891,896,1019],[1,2,3,4,7,8,9,
10,12,13,14,18,31,32,33,34,35,36,37,38,39,40,42,47,48,49,51,53,54,56,58,60,61,
62,63,64,65,66,67,68,71,72,75,105,110,113,114,115,117,120,121,128,133,135,137,
138,143,144,148,149,150,152,153,154,158,159,161,162,171,172,174,175,176,177,
178,179,183,186,191,194,195,196,198,199,202,204,205,206,207,210,213,216,217,
220,222,226,227,228,271,281,289,304,312,313,315,316,323,330,336,340,341,349,
353,355,359,361,369,373,382,391,392,393,395,404,409,410,416,417,420,424,428,
439,442,448,449,450,456,460,464,472,473,553,559,568,588,599,602,603,628,632,
649,654,668,680,689,696,698,699,703,706,814,835,846,849,850,851,879,1020],[1,
2,3,4,7,8,9,10,11,12,13,14,17,18,28,30,32,33,34,36,39,41,42,44,49,50,51,53,54,
55,58,60,62,63,65,67,68,69,70,71,72,73,74,75,101,102,104,107,109,110,112,115,
122,123,125,126,128,129,130,131,132,133,134,135,137,139,146,147,149,150,151,
152,154,155,156,159,161,165,171,172,175,177,179,187,190,192,193,195,203,212,
215,216,218,221,226,230,273,274,275,277,278,280,291,292,299,301,302,305,308,
311,313,317,324,326,328,329,332,334,336,338,346,347,348,350,353,357,358,360,
362,363,364,369,371,374,376,377,378,385,386,393,400,405,408,422,451,452,458,
475,540,556,561,573,587,589,591,596,613,616,625,629,644,653,661,673,679,688,
701,703,705,713,715,720,725,799,816,836,848,867,892,900,1021],[1,2,3,4,7,9,10,
12,13,14,15,17,18,29,30,33,35,36,37,39,42,43,49,50,51,52,53,54,56,57,58,60,61,
62,63,64,66,69,70,71,73,74,75,77,103,105,112,115,116,119,121,122,123,125,129,
135,136,137,152,153,155,158,161,163,164,166,167,168,170,172,173,174,175,177,
179,182,186,188,191,194,195,196,197,198,199,202,203,204,205,207,208,209,211,
214,219,223,229,230,231,279,282,284,287,289,290,299,304,307,308,331,337,339,
349,352,354,361,370,371,372,373,381,388,390,391,392,393,398,402,404,418,422,
427,433,434,446,447,455,456,457,467,468,552,555,563,579,583,584,604,615,619,
630,637,649,652,665,678,684,710,715,716,831,856,857,868,869,873,888,1022],[1,
2,3,4,7,8,9,10,12,13,14,18,29,32,33,35,36,37,38,39,40,42,48,49,50,51,52,53,54,
56,57,58,60,61,62,63,64,65,66,67,70,71,72,75,105,110,113,114,115,119,121,123,
128,133,135,136,137,143,149,150,152,153,154,161,162,163,164,165,166,168,170,
171,172,173,174,175,176,177,182,188,191,194,195,196,197,198,199,202,204,205,
207,209,211,213,214,216,220,223,227,228,230,281,282,287,289,304,310,312,313,
315,316,327,336,341,344,349,352,353,359,361,369,373,381,382,386,387,397,401,
406,410,418,419,424,427,433,434,448,449,450,457,464,467,468,470,560,568,571,
581,588,603,619,628,632,650,657,664,666,668,678,680,689,703,708,817,841,849,
850,874,875,897,1023],[1,2,3,4,7,8,9,10,12,13,14,16,18,28,29,30,31,32,33,34,
35,36,37,38,39,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,
67,68,69,70,71,73,75,103,104,105,106,107,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,142,145,146,147,148,149,150,153,154,155,157,159,160,161,162,163,
168,169,171,172,173,174,175,178,180,181,182,183,184,185,188,189,193,194,196,
198,200,202,204,206,207,209,210,211,212,213,214,217,219,222,223,226,230,232,
234,271,276,280,281,282,283,284,285,286,287,289,290,292,293,296,298,300,301,
303,304,305,306,308,309,311,312,314,317,318,320,322,323,325,328,329,330,332,
334,335,336,338,340,344,345,346,348,350,352,355,356,357,359,360,362,364,365,
366,368,369,370,371,376,377,378,379,380,383,384,385,389,390,395,396,397,398,
399,400,403,407,408,412,413,414,415,416,423,424,425,426,429,434,444,463,466,
467,472,473,549,553,554,558,559,563,566,567,568,572,580,581,582,585,593,598,
599,602,604,605,606,609,611,614,618,619,621,627,631,633,634,638,644,646,658,
661,662,663,672,681,688,692,693,694,704,714,717,726,729,801,814,819,822,840,
844,852,855,861,872,880,881,882,890,898,1024],[1,2,3,4,7,8,9,10,11,12,13,14,
15,17,18,30,31,33,34,35,37,41,42,43,47,49,51,53,54,56,58,60,61,63,64,66,67,68,
71,74,75,76,102,103,105,112,117,120,123,129,138,143,144,148,152,158,165,167,
168,172,174,177,178,183,186,191,194,195,197,198,199,202,203,204,206,207,208,
210,213,217,222,225,226,233,271,274,279,284,287,296,298,299,337,339,349,351,
361,386,388,401,402,406,416,417,419,420,422,428,439,442,443,446,453,460,470,
472,473,539,555,558,579,583,584,615,666,667,671,673,675,676,691,696,797,802,
838,856,857,866,871,1025],[1,2,3,4,7,8,9,10,11,12,13,14,16,17,18,28,29,30,31,
32,33,34,36,37,38,39,41,42,44,45,47,48,50,51,52,54,55,56,57,58,59,60,62,63,65,
66,67,68,69,70,71,72,73,74,75,102,104,106,107,109,110,111,112,113,114,115,116,
121,122,124,125,126,127,128,129,130,131,132,133,134,135,136,138,139,144,146,
147,149,150,151,152,154,155,157,159,161,162,166,171,172,174,175,183,184,185,
187,188,189,190,192,193,201,202,203,210,212,214,215,216,218,221,226,230,232,
234,274,277,278,280,285,286,288,291,292,299,300,301,302,303,305,306,308,309,
311,312,313,317,319,320,321,322,325,326,328,332,334,336,338,342,345,346,347,
348,350,353,356,357,358,360,362,363,365,368,369,371,376,377,380,381,383,385,
395,396,398,400,403,405,408,411,422,424,426,428,437,448,459,469,474,478,547,
550,551,556,562,578,586,587,591,594,595,596,597,606,625,629,633,648,658,661,
663,672,673,674,683,685,693,703,704,715,723,725,727,728,805,834,848,864,865,
885,892,1026],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,28,29,30,31,32,33,34,
36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,102,104,106,107,109,110,111,112,113,
114,115,116,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,143,144,146,147,148,150,151,152,153,154,155,156,157,158,
161,162,164,165,166,167,168,170,171,174,175,176,177,178,179,183,184,185,186,
187,188,189,190,191,192,193,195,197,199,201,202,203,205,208,210,212,214,215,
216,218,220,221,224,225,226,227,228,229,230,231,232,233,234,235,274,277,278,
285,286,288,291,292,294,296,300,301,302,303,305,306,307,308,309,312,315,317,
319,320,321,322,323,324,325,326,327,328,332,334,336,338,339,342,345,346,347,
348,350,351,353,354,356,357,358,360,362,363,365,367,368,369,371,373,374,375,
376,377,380,381,383,385,386,387,391,393,398,400,402,403,405,408,409,417,419,
421,422,424,426,427,428,431,432,435,436,437,438,443,446,447,449,450,451,452,
453,454,455,456,458,459,460,462,464,468,469,470,474,475,476,477,478,545,547,
550,561,562,578,586,587,591,592,595,596,597,617,625,629,633,648,651,653,658,
661,663,665,668,670,672,675,676,679,682,686,687,690,693,695,700,704,705,706,
708,710,711,712,719,720,723,728,731,732,734,735,803,834,836,845,860,865,867,
901,902,906,908,1027],[1,2,3,4,7,9,10,11,12,13,14,15,17,18,29,30,33,35,37,41,
42,43,49,50,51,52,53,54,56,57,58,60,61,62,63,64,66,70,71,74,75,76,102,103,105,
112,119,129,136,137,152,153,158,159,163,164,166,167,168,170,172,173,174,177,
179,182,186,188,194,195,196,197,198,199,200,202,203,204,205,207,208,209,211,
214,225,230,233,274,279,282,284,289,299,307,330,331,337,339,349,352,354,361,
381,388,391,392,393,399,402,404,418,422,423,427,433,434,443,446,453,456,457,
467,468,539,552,554,579,583,584,609,615,618,649,652,665,673,676,678,684,716,
802,827,838,854,868,869,883,1028],[1,2,4,5,6,7,12,13,22,23,24,28,30,39,60,78,
80,82,83,89,90,101,131,139,236,243,249,260,263,275,479,485,489,507,508,738,
748,771,918,1029],[1,2,4,5,6,7,12,13,22,23,26,28,30,39,60,78,80,82,83,101,131,
139,238,243,251,263,275,479,485,489,748,752,918,1030],[1,2,3,5,6,7,8,9,10,14,
20,21,22,25,28,32,33,34,36,42,50,78,80,82,83,91,92,93,94,101,104,107,126,130,
237,241,243,244,246,248,257,273,479,485,489,495,496,501,505,736,737,747,780,
918,1031],[1,2,4,5,6,7,11,12,13,15,17,22,23,24,26,30,41,43,60,61,64,74,76,78,
80,81,82,83,86,87,88,89,90,96,98,102,203,208,225,233,236,249,251,253,260,262,
263,267,268,269,453,479,483,486,487,491,492,522,523,524,525,738,739,761,764,
783,785,919,1032],[1,2,4,7,12,13,17,19,28,30,39,60,72,74,79,101,131,139,203,
216,239,275,347,358,701,741,921,1033],[1,2,4,6,11,13,15,17,22,24,27,41,43,74,
76,81,85,89,99,225,240,253,254,259,262,484,523,526,923,1034],[1,2,6,7,22,27,
28,80,83,99,101,240,243,484,489,532,789,922,1035],[1,2,6,12,22,27,40,44,72,90,
99,235,240,250,252,484,518,529,1036],[1,2,3,6,10,16,22,25,27,45,46,84,91,99,
108,240,247,255,484,528,533,788,924,1037],[1,4,5,6,11,15,17,19,23,24,76,78,79,
85,88,236,259,268,481,535,536,1038],[1,4,5,6,11,15,17,19,23,24,26,76,78,79,81,
86,87,88,96,98,100,236,238,239,262,267,268,269,270,482,483,534,537,739,790,
926,1039],[1,2,3,4,6,7,8,9,10,11,13,20,30,31,33,34,35,37,41,47,49,58,80,87,
102,103,105,112,117,120,123,129,138,168,178,241,271,274,284,287,296,298,487,
488,539,555,558,746,797,927,1040],[1,2,3,4,6,7,8,9,10,11,12,13,14,18,22,28,30,
32,33,35,36,39,41,47,50,51,52,54,55,57,58,60,66,68,69,70,71,73,80,87,102,103,
105,107,112,113,115,116,121,122,125,127,129,130,134,135,139,146,151,152,155,
161,171,173,175,180,190,210,214,218,243,272,274,276,278,281,283,284,288,290,
291,301,302,303,304,308,318,328,338,362,371,380,398,408,426,487,488,539,557,
563,578,585,587,621,743,751,756,796,927,1041],[1,2,3,4,6,7,9,10,11,13,21,29,
30,33,35,37,41,50,52,53,57,58,63,80,87,102,103,105,112,119,129,136,137,158,
159,163,170,173,194,200,244,274,282,284,289,307,330,331,399,423,487,488,539,
552,554,609,618,742,755,827,927,1042],[1,2,3,4,6,7,9,11,13,14,20,21,22,30,33,
35,41,42,49,53,56,58,66,81,83,92,93,102,103,105,112,129,174,177,186,197,198,
207,242,246,253,274,279,284,337,349,402,491,503,504,512,539,579,615,773,802,
929,1043],[1,2,4,6,7,9,11,12,13,15,17,24,30,33,35,41,43,51,54,58,60,61,63,64,
74,76,80,87,102,103,105,112,129,152,167,172,194,199,203,204,208,225,233,249,
269,274,284,299,339,361,388,422,443,453,487,488,539,583,584,673,676,750,764,
838,927,1044],[1,2,3,4,5,7,8,9,10,11,12,13,14,18,26,28,30,32,33,34,36,39,41,
42,44,50,51,54,55,58,60,62,65,67,68,69,70,71,73,75,82,88,101,102,104,107,109,
110,112,115,122,125,126,128,129,130,131,132,133,134,135,139,146,147,150,151,
152,154,155,161,171,175,190,193,212,218,226,230,251,273,274,275,277,278,280,
291,292,301,302,305,308,317,326,328,329,332,334,336,338,346,348,350,357,360,
362,369,371,376,377,385,400,408,485,486,490,540,573,587,591,596,616,644,661,
688,749,752,754,759,799,928,1045],[1,2,3,4,6,7,9,11,13,14,25,30,33,35,41,42,
49,53,56,58,66,80,87,102,103,105,112,129,174,177,186,197,198,207,248,274,279,
284,337,349,402,487,488,539,579,615,757,802,927,1046],[1,2,3,4,6,7,9,10,12,13,
14,15,17,18,21,22,25,28,30,33,36,39,40,42,43,44,50,54,60,61,64,65,69,71,72,73,
74,75,77,80,85,90,91,93,104,109,110,115,122,125,129,130,131,133,135,139,147,
150,155,161,175,203,208,216,220,224,229,231,235,243,244,248,252,254,256,264,
294,301,305,329,334,336,347,350,357,358,371,385,411,438,443,449,455,495,505,
507,519,529,576,644,651,682,685,713,727,745,778,909,942,945,952,1047],[1,2,3,
4,6,7,8,9,10,12,13,14,15,22,25,28,30,32,33,34,36,39,40,42,43,50,51,54,55,58,
60,61,64,73,80,83,85,91,94,101,104,107,112,115,126,128,130,131,134,135,139,
140,141,150,151,152,155,167,176,199,208,220,243,248,252,254,257,273,275,280,
291,294,305,315,328,329,339,360,375,411,489,495,496,527,530,545,551,573,574,
576,745,780,798,938,945,951,1048],[1,2,3,4,6,7,8,9,10,12,13,14,15,17,18,20,21,
22,28,30,32,33,34,36,39,40,42,43,50,60,61,62,64,65,67,68,69,70,71,72,74,75,77,
80,83,85,92,93,101,104,107,122,126,129,130,131,132,133,139,146,147,154,161,
171,175,203,208,216,220,226,227,228,229,230,231,241,243,244,246,252,254,264,
273,275,294,301,326,347,348,357,358,376,377,408,411,443,450,455,462,489,501,
505,516,519,574,616,682,683,695,701,727,745,747,913,937,942,951,1049],[1,2,3,
4,6,7,8,9,10,11,13,22,25,30,31,33,34,35,37,41,47,49,58,81,83,91,94,102,103,
105,112,117,120,123,129,138,168,178,242,253,257,271,274,284,287,296,298,491,
499,503,506,539,555,558,776,797,929,1050],[1,2,3,6,7,8,9,10,12,14,21,22,25,28,
32,33,35,36,39,42,47,48,49,50,52,53,56,57,63,65,66,75,80,90,91,93,103,104,105,
107,113,116,121,123,124,127,128,130,131,133,135,137,147,149,156,159,161,162,
172,173,174,175,177,180,198,207,219,223,243,244,248,256,272,279,280,283,286,
304,311,316,324,325,344,349,356,357,372,390,392,406,423,425,430,448,488,495,
505,507,542,566,590,594,612,623,635,743,755,757,778,899,934,935,946,1051],[1,
2,3,6,7,8,9,10,14,16,20,21,22,28,29,31,32,33,34,35,36,37,38,42,45,47,48,49,50,
52,53,56,57,59,63,66,80,83,84,92,93,101,103,104,105,106,107,111,113,114,116,
121,123,124,126,127,130,136,137,138,149,156,157,159,162,172,173,174,177,180,
184,185,196,198,207,211,213,217,219,223,241,242,243,244,245,246,247,261,272,
273,276,283,285,286,295,298,306,310,311,322,324,331,340,344,349,352,355,359,
364,372,378,384,390,412,413,416,423,425,430,489,494,498,501,503,504,505,509,
512,520,541,544,580,590,613,620,623,702,717,724,729,744,747,763,773,889,940,
941,947,1052],[1,2,4,5,7,11,12,13,15,17,23,28,30,39,40,41,43,44,60,61,64,72,
74,76,82,88,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,263,
268,275,278,294,334,347,358,411,438,447,449,453,485,486,490,540,574,651,674,
685,701,719,748,761,766,910,928,1053],[1,2,3,6,7,8,9,10,14,16,22,25,28,29,31,
32,33,34,35,36,37,38,42,45,46,47,50,52,57,59,80,83,84,91,94,101,104,105,106,
107,108,111,114,116,117,118,119,120,126,127,130,136,138,142,145,157,160,163,
169,173,180,184,185,242,243,245,247,248,255,257,261,271,273,282,283,285,293,
295,306,333,335,343,389,412,414,415,489,493,495,496,498,499,503,506,510,517,
520,528,544,546,572,575,744,772,776,780,782,793,940,943,944,1054],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,17,18,21,22,24,28,30,32,33,36,39,40,41,43,50,51,54,55,
58,60,61,64,68,69,70,71,73,74,76,77,80,85,89,93,94,102,107,112,115,122,125,
129,130,134,135,139,140,141,146,151,152,155,161,167,171,175,176,190,192,199,
203,208,218,220,221,225,229,231,233,243,244,249,252,254,259,264,265,274,278,
291,294,301,302,308,315,328,338,339,347,362,363,371,375,408,422,436,443,447,
453,454,455,476,496,505,508,519,526,527,530,545,587,629,676,682,687,690,710,
719,745,770,784,845,938,942,948,1055],[1,2,3,4,6,7,8,9,10,12,13,14,15,20,21,
22,28,30,32,33,34,36,39,40,43,44,50,51,54,55,58,60,61,62,64,65,67,68,70,72,73,
80,85,90,92,94,107,109,110,112,115,125,126,128,131,132,133,134,139,140,141,
146,150,151,152,154,155,161,167,171,176,187,193,199,208,212,215,216,220,224,
227,228,235,241,243,244,252,254,266,277,291,294,315,317,326,332,334,336,339,
353,358,360,362,375,377,400,405,431,432,438,449,450,462,477,496,501,507,516,
527,529,530,545,591,625,651,668,670,695,700,712,745,760,787,860,937,938,952,
1056],[1,2,3,6,7,8,9,10,12,14,16,20,21,22,28,29,32,33,34,35,36,37,39,45,47,48,
49,50,52,54,56,57,62,63,66,67,75,80,84,90,92,94,105,107,113,115,116,118,119,
120,121,123,124,126,127,130,131,132,135,136,142,143,147,150,154,159,161,163,
164,169,171,173,175,180,181,182,183,185,188,204,206,207,211,213,219,241,242,
243,244,245,247,266,281,282,283,287,295,300,304,309,310,322,327,329,330,333,
364,365,370,376,377,379,390,396,403,407,413,414,425,442,445,457,465,493,496,
499,500,501,504,507,509,511,517,546,560,593,598,604,627,634,669,702,709,721,
744,760,765,779,893,936,943,947,1057],[1,2,4,6,7,9,11,12,13,15,17,22,24,30,33,
35,41,43,51,54,58,60,61,63,64,74,76,81,83,89,90,102,103,105,112,129,152,167,
172,194,199,203,204,208,225,233,242,253,260,262,274,284,299,339,361,388,422,
443,453,491,502,503,511,523,524,539,583,584,673,676,768,783,838,929,1058],[1,
2,3,6,7,8,9,10,12,14,16,21,22,25,28,29,31,32,33,34,35,36,37,38,39,42,45,46,47,
49,50,52,53,54,57,59,62,63,65,66,67,75,80,84,90,91,93,103,104,108,111,114,115,
116,117,118,119,120,121,123,126,127,130,131,133,135,136,137,138,142,143,145,
147,148,150,153,154,157,159,160,161,163,164,169,171,173,175,180,181,182,183,
184,185,188,196,198,204,206,207,209,211,213,217,219,222,223,242,243,244,245,
247,248,255,256,276,290,295,297,298,306,309,314,318,323,325,327,329,331,333,
335,343,344,355,357,364,366,370,376,378,379,383,389,390,395,396,397,407,412,
413,414,415,423,424,442,445,457,463,465,466,467,472,494,495,500,505,506,507,
510,511,512,528,575,601,610,638,645,646,660,662,669,692,714,721,722,724,729,
744,762,769,778,903,936,941,944,1059],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,21,
22,24,25,28,29,30,31,32,33,34,36,37,38,39,42,47,48,49,50,51,52,53,54,55,56,58,
60,62,63,66,67,68,69,70,71,75,80,89,91,92,95,97,103,104,106,107,112,113,114,
115,121,122,123,124,126,127,134,136,137,138,139,144,146,147,149,151,152,154,
156,157,159,162,166,172,174,177,183,186,188,189,191,196,197,201,202,205,210,
211,213,214,217,226,230,241,243,244,248,249,258,272,279,285,286,291,298,303,
309,310,311,316,320,321,324,331,340,348,352,355,359,373,381,382,384,388,391,
392,402,406,413,416,419,428,435,469,488,495,501,508,513,515,542,562,580,607,
617,620,635,664,671,699,716,742,743,746,750,757,767,862,935,939,949,960,963,
1060],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,24,25,28,30,32,34,36,
39,40,41,42,43,50,51,55,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,80,85,89,
91,92,95,97,102,104,122,125,126,128,131,132,133,134,139,146,147,150,154,155,
190,203,208,216,218,220,225,226,227,228,230,233,241,243,244,248,249,252,254,
258,259,278,294,302,305,326,346,347,348,350,358,360,400,411,447,450,453,462,
495,501,508,513,515,516,526,576,596,674,683,695,713,719,745,767,917,937,945,
948,1061],[1,2,4,6,7,11,12,13,15,17,22,24,28,30,39,40,41,43,44,60,61,64,72,74,
76,80,83,85,89,90,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,
243,249,252,254,259,260,275,278,294,334,347,358,411,438,447,449,453,489,507,
508,526,529,540,574,651,674,685,701,719,745,771,910,948,951,952,1062],[1,2,4,
6,7,8,9,12,13,22,24,29,31,32,33,35,39,40,44,51,54,58,60,61,63,64,72,83,89,90,
105,106,109,113,115,128,132,152,171,172,176,194,199,204,216,220,224,235,242,
245,250,260,281,313,315,317,319,353,361,382,438,462,498,502,503,511,514,518,
521,543,603,632,670,725,768,786,887,954,1063],[1,2,3,4,6,7,8,9,10,12,13,14,22,
24,28,30,32,33,34,36,39,42,48,49,50,51,53,54,55,56,58,60,63,66,73,80,83,89,90,
101,103,104,107,112,113,115,121,123,124,126,128,130,131,134,135,137,139,149,
150,151,152,155,156,159,162,172,174,177,186,191,197,205,243,249,260,272,273,
275,276,280,286,291,305,311,322,324,328,329,360,364,373,378,382,388,391,402,
419,435,448,488,489,507,508,541,573,594,607,612,613,617,743,750,751,771,863,
934,949,953,1064],[1,2,3,6,7,8,9,10,14,22,25,28,32,33,34,36,42,48,50,56,66,80,
83,91,94,101,103,104,107,113,121,124,126,130,162,174,243,248,257,272,273,276,
279,286,316,322,488,489,495,496,538,541,542,743,751,757,780,794,935,950,953,
1065],[1,2,3,4,6,7,8,9,10,12,13,14,16,18,20,21,22,24,25,28,29,30,31,32,33,34,
35,36,37,38,39,42,45,46,47,48,49,50,52,53,56,57,58,59,60,62,63,65,66,67,68,69,
70,71,73,75,80,84,89,91,92,95,97,104,108,111,112,113,114,116,117,118,119,120,
121,122,123,124,126,127,130,132,133,135,136,137,138,139,142,145,146,147,154,
155,157,158,159,160,163,168,169,170,173,178,180,182,184,185,194,196,198,200,
206,207,209,210,211,213,214,217,219,222,223,226,230,232,234,241,242,243,244,
245,247,248,249,255,258,288,295,296,297,300,303,306,307,310,314,322,325,326,
328,333,335,340,343,344,345,348,355,364,366,368,370,378,389,390,395,396,397,
399,407,412,413,414,415,425,429,433,434,439,441,444,471,473,495,497,501,502,
504,506,508,509,510,513,515,528,575,586,624,641,645,655,660,662,681,694,702,
709,717,718,726,744,758,767,781,905,944,947,955,1066],[1,2,3,6,7,8,9,10,12,14,
20,21,22,28,29,31,32,33,34,36,37,38,39,47,49,50,52,53,62,67,80,90,92,94,103,
106,107,113,114,123,126,127,128,131,132,135,136,137,138,154,156,157,161,171,
177,241,243,244,266,272,280,285,298,300,310,312,318,319,324,331,337,340,341,
377,488,496,501,507,538,565,570,612,620,742,743,746,760,824,934,939,950,
1067],[1,2,3,6,7,8,9,10,14,16,20,21,22,28,29,31,32,33,34,35,36,37,38,42,45,47,
48,49,50,52,53,56,57,59,63,66,80,83,92,93,101,103,104,105,106,107,111,113,114,
116,121,123,124,126,127,130,136,137,138,149,156,157,159,162,172,173,174,177,
180,184,185,196,198,207,211,213,217,219,223,241,243,244,246,272,273,276,283,
285,286,295,298,306,310,311,322,324,331,340,344,349,352,355,359,364,372,378,
384,390,412,413,416,423,425,430,488,489,501,505,541,544,580,590,613,620,623,
702,717,724,729,742,743,746,747,751,755,889,939,946,953,967,971,1068],[1,2,3,
4,6,7,8,9,10,12,13,14,16,22,24,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,
49,50,51,52,53,54,55,57,58,59,60,63,73,80,83,84,89,90,101,104,105,106,107,111,
112,114,115,116,123,126,127,128,130,131,134,135,136,137,138,139,143,148,149,
150,151,152,153,155,156,157,158,159,164,168,170,172,173,177,178,180,181,184,
185,194,200,204,242,243,245,247,249,260,261,273,275,280,283,285,291,295,296,
305,306,307,311,323,324,327,328,329,360,361,364,367,370,378,379,394,395,396,
397,399,412,417,421,427,440,489,497,498,500,502,503,507,508,511,520,544,573,
592,606,613,640,642,655,694,714,721,744,768,771,775,858,936,940,955,1069],[1,
2,3,4,6,7,8,9,10,12,13,14,21,22,24,28,30,32,33,35,36,39,47,50,51,52,54,55,57,
58,60,63,68,70,80,89,93,94,103,105,107,112,113,115,116,127,129,130,134,139,
146,149,151,152,159,171,172,173,175,180,243,244,249,265,272,281,283,284,288,
290,291,311,382,388,408,410,423,425,426,488,496,505,508,538,557,564,607,623,
743,750,755,770,810,946,949,950,1070],[1,2,3,6,7,8,9,12,14,20,21,22,29,31,32,
33,35,39,42,44,48,49,53,54,56,63,66,83,92,93,105,106,109,113,115,128,132,149,
162,171,174,177,191,198,205,207,211,217,242,245,246,250,281,316,317,319,341,
349,373,384,410,448,494,498,503,504,509,512,514,543,588,628,647,677,763,773,
833,954,1071],[1,2,3,4,6,7,8,9,10,12,13,14,16,18,21,22,24,28,29,30,32,33,35,
36,37,39,45,47,50,52,53,57,58,60,63,66,68,69,70,71,73,80,84,89,93,94,103,105,
107,112,116,118,119,120,121,122,127,129,130,135,136,137,139,142,146,155,158,
159,161,163,169,170,171,173,175,180,185,194,198,200,209,210,211,213,214,222,
223,242,243,244,245,247,249,265,276,282,283,284,289,295,301,303,304,307,318,
328,330,331,333,344,366,378,380,396,397,398,399,408,413,414,423,433,439,441,
471,493,494,496,497,499,502,505,508,512,517,546,552,581,609,611,621,627,655,
718,722,724,744,770,774,777,842,941,943,955,1072],[1,2,3,6,7,8,9,10,12,22,25,
29,31,32,33,34,35,37,39,44,47,53,54,83,91,94,105,106,109,113,115,117,120,128,
132,137,138,148,153,171,242,245,250,257,271,281,289,317,319,323,340,498,499,
503,506,514,543,553,571,776,795,954,1073],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,17,18,22,24,29,30,31,32,36,39,40,41,43,44,45,48,49,51,53,54,55,56,58,59,60,
61,62,64,65,67,68,69,70,71,72,73,74,76,77,81,83,84,89,90,102,106,109,111,122,
124,133,134,140,141,144,146,148,151,154,155,156,164,165,166,167,170,176,178,
179,186,187,190,191,192,193,195,197,199,201,203,205,208,212,215,216,218,220,
221,224,225,227,228,229,231,232,233,234,235,245,247,250,253,260,261,262,302,
321,332,342,351,354,363,368,374,375,387,405,409,421,431,432,435,436,437,438,
450,451,452,453,454,455,458,459,460,468,474,475,476,477,491,497,498,500,514,
518,520,521,523,524,547,648,679,686,690,700,705,731,732,734,735,753,775,783,
786,906,964,968,969,1074],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,23,26,30,
32,36,37,38,39,40,41,43,48,49,51,53,54,55,56,58,60,61,64,68,69,70,71,72,73,74,
75,76,77,82,86,96,98,102,110,114,122,124,132,134,140,141,143,146,147,151,153,
155,156,158,165,167,168,176,179,186,187,189,190,191,192,195,197,199,202,203,
205,208,215,216,218,220,221,225,229,231,233,251,263,267,277,292,302,320,345,
363,367,374,375,405,435,436,446,449,451,452,453,454,455,456,462,464,470,476,
478,490,492,522,525,550,653,690,705,711,712,728,754,759,766,785,902,959,972,
973,1075],[1,2,4,5,7,9,11,12,13,15,17,23,26,30,33,35,41,43,51,54,58,60,61,63,
64,74,76,82,86,88,96,98,102,103,105,112,129,152,167,172,194,199,203,204,208,
225,233,251,263,267,268,274,284,299,339,361,388,422,443,453,486,492,522,525,
539,583,584,673,676,749,761,785,838,930,956,962,1076],[1,2,4,6,7,11,12,13,15,
17,22,24,28,30,39,40,41,43,44,60,61,64,72,74,76,80,81,83,89,90,101,102,109,
110,125,131,139,203,208,216,220,224,225,233,235,243,249,250,253,260,262,275,
278,294,334,347,358,411,438,447,449,453,489,491,507,508,514,518,521,523,524,
540,574,651,674,685,701,719,771,783,786,910,933,1077],[1,2,3,6,7,8,9,10,14,22,
25,28,32,33,34,36,42,49,50,53,63,80,83,91,94,101,104,107,123,126,130,137,149,
156,159,172,177,243,248,257,273,311,324,364,378,401,404,489,495,496,548,613,
639,780,800,970,1078],[1,2,4,5,7,11,12,13,15,17,23,26,28,30,39,40,41,43,44,60,
61,64,72,74,76,82,86,96,98,101,102,109,110,125,131,139,203,208,216,220,224,
225,233,235,251,263,267,275,278,294,334,347,358,411,438,447,449,453,485,492,
522,525,540,574,651,674,685,701,719,748,752,785,910,931,961,966,1079],[1,2,3,
6,7,8,9,10,12,14,16,22,25,31,33,34,35,36,37,39,44,45,47,59,63,66,75,83,84,91,
94,105,109,111,117,120,121,135,138,147,150,159,161,175,196,217,242,247,250,
257,261,271,304,330,355,383,385,395,499,503,506,514,520,549,599,605,776,801,
965,1080],[1,2,4,6,7,11,12,13,15,17,22,24,28,30,39,40,41,43,44,60,61,64,72,74,
76,80,83,87,89,90,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,
243,249,260,269,275,278,294,334,347,358,411,438,447,449,453,487,489,507,508,
540,574,651,674,685,701,719,756,764,771,910,932,957,958,1081],[1,2,7,8,9,27,
28,32,33,103,107,113,272,532,538,1082],[1,2,4,5,7,12,13,19,26,28,30,39,60,79,
82,100,101,131,139,251,270,275,485,741,752,921,977,1083],[1,2,3,4,7,8,9,10,11,
12,13,14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,142,143,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,166,168,169,170,171,172,173,174,175,177,178,180,181,182,183,184,185,
188,189,190,193,194,196,198,200,201,202,204,206,207,209,210,211,212,213,214,
217,218,219,222,223,226,230,232,234,271,272,273,274,275,276,277,278,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,295,296,297,298,300,301,302,
303,304,305,306,307,308,309,310,311,312,314,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,338,340,342,343,344,345,346,
348,349,350,352,355,356,357,359,360,361,362,364,365,366,367,368,369,370,371,
372,376,377,378,379,380,381,383,384,385,389,390,394,395,396,397,398,399,400,
403,407,408,412,413,414,415,416,417,418,420,421,423,424,425,426,427,428,429,
430,433,434,439,440,441,442,444,445,457,461,463,465,466,467,469,471,472,473,
474,539,540,541,543,544,546,547,549,550,552,553,554,555,557,558,559,560,562,
563,566,567,568,569,570,571,572,573,575,578,580,581,582,585,586,587,590,591,
592,593,595,596,597,598,599,601,602,604,605,606,609,610,611,613,614,616,618,
619,620,621,622,623,624,627,631,633,634,638,640,641,642,644,645,646,655,658,
660,661,662,663,669,672,678,681,688,692,693,694,696,697,702,704,707,709,714,
717,718,721,722,723,724,726,729,730,733,793,795,796,797,799,801,804,808,811,
812,814,817,819,820,821,822,825,826,827,828,831,832,837,839,840,842,844,852,
855,858,861,865,872,877,880,881,882,884,889,890,893,894,898,903,905,978,983,
984,989,994,1005,1006,1014,1024,1084],[1,2,3,4,7,8,9,10,12,13,14,15,16,18,28,
29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,101,103,104,105,106,107,
108,111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,127,128,129,
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,
188,189,191,194,195,196,197,198,199,200,201,202,204,205,206,207,208,209,210,
211,213,214,217,219,220,222,223,226,230,232,234,271,272,273,275,276,279,280,
281,282,283,284,285,286,287,288,289,290,291,293,294,295,296,297,298,299,300,
301,303,304,305,306,307,309,310,311,312,313,314,315,316,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,333,335,337,339,340,341,343,344,345,348,
349,351,352,354,355,356,357,359,360,361,364,365,366,367,368,370,372,373,374,
375,376,377,378,379,380,381,382,383,384,386,387,388,389,390,391,392,393,394,
395,396,397,398,399,401,402,403,404,406,407,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,423,424,425,426,427,428,429,430,433,434,435,439,440,
441,442,444,445,446,448,456,457,460,461,463,464,465,466,467,468,469,470,471,
472,473,538,541,542,544,545,546,548,551,552,553,556,557,558,560,561,562,564,
565,566,567,569,570,572,573,574,575,576,577,579,580,581,584,586,588,589,590,
592,593,594,598,599,600,601,603,604,606,607,609,610,611,612,613,616,617,620,
621,622,623,624,627,630,634,635,636,638,639,640,641,642,645,646,649,650,652,
654,655,656,657,658,659,660,662,664,665,666,667,669,671,675,677,678,681,684,
686,689,691,692,694,696,697,698,699,702,704,706,707,708,709,711,714,716,717,
718,721,722,723,724,726,729,730,733,793,794,798,800,803,805,809,810,811,812,
815,816,818,820,821,822,823,824,825,829,832,842,843,846,847,853,855,858,859,
862,863,866,869,870,875,877,878,886,889,891,893,895,896,898,899,903,905,907,
915,981,984,985,993,998,999,1009,1016,1019,1085],[1,2,3,4,7,8,9,10,11,12,13,
14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,101,102,103,104,105,106,
107,109,110,111,112,113,114,115,116,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,144,146,147,149,150,151,152,154,155,156,
157,159,161,162,166,171,172,173,174,175,177,180,183,184,185,186,188,189,190,
191,193,196,197,198,201,202,205,207,210,211,212,213,214,217,218,219,223,226,
230,232,234,272,273,274,275,276,277,278,279,280,281,283,284,285,286,288,290,
291,292,295,298,300,301,302,303,304,305,306,308,309,310,311,312,316,317,318,
319,320,321,322,324,325,326,328,329,331,332,334,336,337,338,340,341,342,344,
345,346,348,349,350,352,355,356,357,359,360,362,364,365,368,369,371,372,373,
376,377,378,380,381,382,383,384,385,388,390,391,392,398,400,402,403,406,408,
410,412,413,416,419,423,424,425,426,428,430,435,448,469,474,538,539,540,541,
542,543,544,547,549,550,557,562,563,564,565,566,568,570,573,578,579,580,582,
585,586,587,588,590,591,593,594,595,596,597,607,612,613,615,616,617,620,621,
623,626,628,630,633,635,636,637,638,644,647,658,661,663,664,671,672,677,680,
688,689,693,699,702,704,716,717,723,724,729,794,796,799,802,806,807,809,810,
818,820,824,828,829,833,849,862,863,865,872,876,888,889,899,916,978,979,980,
990,993,1008,1011,1086],[1,2,3,4,7,8,9,10,12,13,14,16,17,28,29,30,31,32,33,34,
35,36,37,38,39,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,65,66,67,68,
70,73,74,75,103,105,106,107,109,110,112,113,114,115,116,117,118,119,120,121,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,142,143,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,163,
164,165,166,168,169,170,171,172,173,175,177,178,179,180,181,182,183,184,185,
188,192,193,195,196,198,201,203,204,206,209,212,217,221,222,223,271,272,277,
280,281,282,283,284,285,287,288,289,290,291,293,296,297,298,300,304,307,309,
310,311,312,317,318,319,321,322,323,324,326,327,329,330,331,332,334,335,336,
337,338,340,341,344,345,346,347,355,356,360,362,363,365,366,367,369,370,371,
374,376,377,378,379,380,382,385,386,388,389,393,395,396,397,400,401,403,404,
407,408,410,411,412,414,415,417,418,420,421,422,423,424,425,426,427,458,461,
463,466,467,472,475,538,543,551,552,553,557,558,559,560,561,564,565,568,569,
570,571,572,581,582,583,585,589,591,592,593,595,597,599,602,606,607,608,610,
611,612,615,618,619,620,622,623,629,631,634,637,639,641,642,646,647,650,653,
654,667,672,679,680,681,683,684,685,688,692,709,714,717,722,723,795,804,806,
810,811,814,815,817,824,826,828,830,832,836,837,839,843,852,853,859,864,868,
871,876,878,898,986,987,989,998,1001,1008,1010,1087],[1,2,3,4,7,8,9,10,12,13,
14,16,17,28,29,30,31,32,33,34,35,36,37,38,39,42,44,45,47,48,49,50,51,52,53,54,
55,56,57,58,60,62,63,65,66,67,68,70,73,74,75,103,104,105,106,107,109,110,112,
113,114,115,116,118,119,120,121,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,142,143,144,146,147,149,150,151,152,154,155,156,157,
159,161,162,163,164,165,166,169,171,172,173,174,175,177,179,180,181,182,183,
185,186,188,191,192,193,194,195,196,197,198,200,201,203,204,205,206,207,211,
212,213,217,219,221,223,272,277,279,280,281,282,283,284,285,286,287,288,289,
290,291,295,297,300,304,309,310,311,312,314,316,317,318,319,321,322,324,325,
326,327,329,330,332,333,334,336,337,338,341,344,345,346,347,349,352,355,356,
357,359,360,361,362,363,364,365,369,370,371,372,373,374,376,377,379,380,384,
385,386,390,391,392,393,394,396,397,399,400,401,402,403,404,406,407,408,410,
411,413,414,416,419,422,423,424,425,426,430,435,440,442,445,448,457,458,465,
475,542,543,546,551,554,555,557,559,560,561,564,565,566,567,568,569,570,579,
580,581,582,583,585,588,589,590,591,593,594,595,597,598,601,604,605,608,609,
612,614,617,623,624,626,627,628,629,630,631,634,635,636,639,640,642,647,649,
653,656,659,660,666,669,672,677,679,680,683,685,688,689,702,709,721,723,807,
808,809,812,815,821,826,828,829,830,833,836,843,844,849,857,864,870,876,880,
883,890,893,894,895,896,899,914,916,982,985,990,1000,1002,1005,1010,1088],[1,
2,3,4,7,8,9,10,12,13,14,16,17,18,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,
101,103,104,105,106,107,111,112,113,114,115,116,121,122,123,124,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,144,146,147,149,150,151,152,154,
155,156,157,159,161,162,166,171,172,173,174,175,177,180,182,183,184,185,186,
187,188,189,191,192,196,197,198,201,202,203,205,206,207,209,210,211,213,214,
215,216,217,219,221,222,223,226,230,232,234,272,273,275,276,279,280,281,283,
284,285,286,287,288,289,290,291,295,297,298,300,301,303,304,305,306,309,310,
311,312,314,316,318,319,320,321,322,324,325,326,328,329,330,331,337,340,341,
344,345,347,348,349,352,353,355,356,357,358,359,360,363,364,365,366,368,372,
373,376,377,378,380,381,382,383,384,388,390,391,392,398,402,403,405,406,407,
408,410,412,413,416,418,419,420,422,423,424,425,426,428,430,435,437,448,459,
461,469,478,538,541,542,544,554,555,557,559,562,564,565,566,567,569,570,571,
573,579,580,583,586,588,590,593,594,598,602,605,607,608,611,612,613,614,616,
617,618,619,620,621,622,623,625,629,630,631,632,635,636,638,643,645,648,658,
664,671,677,689,699,701,702,704,713,716,717,723,724,728,729,794,804,808,809,
810,813,818,820,824,825,829,830,834,835,839,840,841,857,862,863,882,883,884,
889,890,899,900,987,988,993,994,995,997,1002,1089],[1,2,3,4,7,8,9,10,12,13,14,
15,16,18,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,
53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,103,104,105,
106,107,109,110,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
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,
184,185,186,187,188,189,191,193,194,195,196,197,198,199,200,201,202,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,219,220,222,223,224,226,227,
228,230,235,271,272,277,279,280,281,282,283,284,285,286,287,288,289,290,291,
293,294,296,297,298,299,300,303,304,307,309,310,311,312,313,315,316,317,318,
319,320,321,322,323,324,326,327,329,330,331,332,334,335,336,337,338,339,340,
341,344,345,346,348,349,351,352,353,354,355,356,358,359,360,361,362,365,366,
367,369,371,372,373,374,375,376,377,378,379,380,381,382,384,385,386,387,388,
389,390,391,392,393,394,395,397,399,400,401,402,403,404,405,406,407,408,409,
410,412,413,414,415,416,417,418,419,420,421,424,425,426,427,428,429,430,431,
432,433,434,435,438,439,440,441,442,444,445,446,448,449,450,456,457,460,461,
462,463,464,465,466,467,468,469,470,471,472,473,477,542,543,545,552,553,556,
557,558,559,560,561,562,564,565,568,569,570,571,572,577,579,580,581,582,584,
585,588,590,591,592,593,594,595,597,599,600,602,603,607,610,611,617,618,619,
620,622,625,626,628,630,631,632,634,635,636,639,640,641,643,646,647,649,650,
651,652,654,656,657,659,664,665,666,667,668,669,670,671,672,675,677,678,680,
681,684,686,688,689,691,695,696,697,698,699,700,703,706,707,708,711,712,714,
716,717,718,723,725,726,730,733,795,803,804,807,809,811,813,814,817,823,826,
828,829,833,835,837,839,841,846,847,849,850,851,852,859,860,862,866,869,874,
875,876,877,879,887,892,896,897,898,904,907,915,916,989,990,992,995,1004,1009,
1012,1015,1018,1020,1023,1090],[1,2,3,4,7,8,9,10,12,13,14,15,16,28,29,30,31,
32,33,34,35,36,37,38,39,40,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,
62,63,64,65,66,67,68,70,72,73,75,103,105,106,107,109,110,112,113,114,115,116,
118,119,120,121,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,146,147,149,150,151,152,154,155,156,157,159,161,
163,164,166,167,169,171,172,173,175,176,177,180,181,182,183,185,187,188,193,
194,199,200,201,204,206,207,208,211,212,213,215,216,219,220,224,227,228,235,
272,277,280,281,282,283,284,285,287,288,290,291,294,295,298,299,300,304,309,
310,311,312,313,314,315,317,318,319,321,322,324,326,327,329,330,331,332,333,
334,336,337,338,339,340,341,345,346,353,356,358,360,361,362,364,365,369,370,
371,375,376,377,379,380,382,385,388,390,394,396,399,400,403,405,407,408,410,
413,414,423,424,425,426,431,432,438,440,442,445,449,450,457,462,465,477,538,
543,545,546,548,554,555,556,557,559,560,564,565,567,568,570,577,582,584,585,
591,593,595,597,598,600,601,603,604,605,607,609,612,614,615,620,623,624,625,
627,631,632,634,637,640,643,647,651,668,669,670,672,680,688,695,700,702,703,
709,712,721,723,725,806,808,810,812,813,823,824,826,828,844,850,854,856,860,
876,880,887,890,891,892,893,894,904,911,981,992,996,997,1005,1007,1008,1091],[
1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,28,29,30,32,33,35,36,37,39,40,41,43,
45,47,50,51,52,53,54,55,57,58,60,61,63,64,66,68,69,70,71,73,74,76,77,102,103,
105,107,112,113,115,116,118,119,120,121,122,125,127,129,130,134,135,136,137,
139,140,141,142,146,149,151,152,155,158,159,161,163,167,169,170,171,172,173,
175,176,180,181,185,190,192,194,198,199,200,203,204,208,209,210,211,213,214,
218,220,221,222,223,225,229,231,233,272,274,276,278,281,282,283,284,288,289,
290,291,294,295,299,301,302,303,304,307,308,311,313,314,315,318,328,330,331,
333,338,339,344,347,361,362,363,366,371,375,378,379,380,382,388,394,396,397,
398,399,408,410,413,414,422,423,425,426,433,436,439,440,441,443,447,453,454,
455,471,476,538,539,545,546,548,552,554,556,557,559,563,564,567,571,577,578,
581,583,584,585,587,600,601,602,603,605,607,608,609,611,618,621,623,624,626,
627,628,629,634,640,655,673,676,682,687,690,710,715,718,719,722,724,796,804,
807,810,812,823,827,830,837,838,842,844,845,848,873,879,881,882,891,897,912,
914,979,981,982,983,987,1003,1004,1092],[1,2,3,4,7,8,9,10,12,13,14,16,17,18,
28,29,30,31,32,33,34,35,36,37,38,39,42,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,101,103,104,105,106,107,108,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,142,143,144,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,166,168,169,170,171,172,
173,174,175,177,178,180,181,182,183,184,185,187,188,189,192,194,196,198,200,
201,202,203,204,206,207,209,210,211,213,214,215,216,217,219,221,222,223,226,
230,232,234,271,272,273,275,276,280,281,282,283,284,285,286,287,288,289,290,
291,293,295,296,297,298,300,301,303,304,305,306,307,309,310,311,312,314,318,
319,320,321,322,323,324,325,326,327,328,329,330,331,333,335,337,340,341,343,
344,345,347,348,349,352,353,355,356,357,358,359,360,361,363,364,365,366,367,
368,370,372,376,377,378,379,380,381,383,384,389,390,392,394,395,396,397,398,
399,403,405,406,407,408,410,412,413,414,415,416,417,418,420,421,422,423,424,
425,426,427,428,429,430,433,434,437,439,440,441,442,444,445,457,459,461,463,
465,466,467,469,471,472,473,478,541,544,546,552,553,557,558,560,562,564,565,
566,567,569,570,572,573,575,580,581,583,586,590,592,593,598,599,601,604,606,
608,609,610,611,613,615,616,620,621,622,623,624,625,626,627,628,629,632,634,
635,637,638,640,641,642,643,645,646,647,648,655,658,660,662,669,678,680,681,
692,694,696,697,701,702,704,707,709,713,714,717,718,721,722,723,724,726,728,
729,730,733,793,806,807,811,812,813,818,820,821,822,825,830,832,834,842,851,
855,858,868,871,874,876,877,889,893,898,900,903,905,911,914,982,984,988,1001,
1007,1011,1012,1093],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,101,102,103,104,105,106,
107,109,110,111,112,113,114,115,116,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,143,144,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,161,162,164,165,166,167,168,170,171,172,173,
174,175,176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,192,193,
194,195,197,199,200,201,202,203,204,205,208,210,212,214,215,216,218,220,221,
224,225,226,227,228,229,230,231,232,233,234,235,272,273,274,275,276,277,278,
280,281,283,284,285,286,288,290,291,292,294,295,296,299,300,301,302,303,304,
305,306,307,308,309,311,312,313,315,317,318,319,320,321,322,323,324,325,326,
327,328,329,332,334,336,338,339,342,345,346,347,348,350,351,353,354,356,357,
358,360,361,362,363,364,365,367,368,369,370,371,373,374,375,376,377,378,379,
380,381,382,383,385,386,387,388,391,393,394,395,396,397,398,399,400,402,403,
405,408,409,411,412,417,419,421,422,424,426,427,428,431,432,435,436,437,438,
440,443,446,447,448,449,450,451,452,453,454,455,456,458,459,460,462,464,468,
469,470,474,475,476,477,478,539,540,541,543,544,545,547,549,550,551,556,557,
561,562,563,566,568,570,573,574,576,577,578,582,583,584,585,586,587,589,591,
592,593,594,595,596,597,600,603,606,607,608,612,613,616,617,621,625,629,632,
633,638,640,642,643,644,648,651,653,655,658,661,663,665,668,670,672,673,674,
675,676,679,682,683,685,686,687,688,690,693,694,695,700,701,703,704,705,706,
708,710,711,712,713,714,715,719,720,721,723,725,727,728,731,732,734,735,796,
798,799,803,805,813,815,816,820,823,828,830,834,836,838,845,848,850,853,858,
860,863,864,865,867,872,873,885,887,892,895,900,901,902,904,906,908,909,910,
912,913,917,978,988,991,992,999,1003,1010,1017,1021,1026,1027,1094],[1,2,3,4,
7,8,9,10,11,12,13,14,15,16,17,18,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,73,
74,75,76,77,102,103,104,105,106,107,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,129,130,134,135,136,137,138,139,140,141,142,143,144,
145,146,147,148,149,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,188,189,190,191,192,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,213,214,217,218,219,220,221,222,223,225,226,229,
230,231,233,271,272,274,276,278,279,281,282,283,284,285,286,287,288,289,290,
291,293,294,296,297,298,299,301,302,303,304,307,308,309,310,311,313,315,316,
318,320,321,323,324,327,328,330,331,335,337,338,339,340,341,344,347,348,349,
351,352,354,355,359,361,362,363,364,366,367,370,371,372,373,374,375,379,380,
381,382,384,386,387,388,389,390,391,392,393,394,395,398,399,401,402,404,406,
407,408,409,412,413,414,415,416,417,418,419,420,421,422,423,426,427,428,429,
430,433,434,435,436,439,440,441,442,443,444,445,446,447,453,454,455,456,457,
460,461,463,464,465,466,467,468,469,470,471,472,473,476,539,542,545,552,553,
554,555,556,557,558,560,561,562,563,565,569,572,577,578,579,580,583,584,585,
587,588,590,592,598,599,600,603,604,607,608,609,610,614,615,617,618,619,620,
621,622,629,630,631,635,636,637,639,640,641,646,649,650,652,654,656,657,659,
664,665,666,667,669,671,673,675,676,678,682,684,686,687,690,691,692,694,696,
697,698,699,706,707,708,710,711,715,716,718,719,726,729,730,733,796,797,802,
803,806,808,811,819,823,827,829,830,831,838,845,846,847,848,852,854,855,856,
857,859,862,866,868,869,871,873,875,877,883,884,888,894,896,907,912,915,980,
996,1001,1002,1003,1006,1009,1013,1022,1025,1028,1095],[1,2,3,4,7,8,9,10,12,
13,14,15,16,18,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,101,103,104,
105,106,107,111,112,113,114,115,116,121,122,123,124,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,143,144,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,161,162,164,165,166,167,168,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,188,189,191,194,195,197,199,
200,201,202,204,205,206,208,209,210,214,220,222,226,230,232,234,272,273,275,
276,280,281,283,284,285,286,287,288,289,290,291,294,295,296,297,299,300,301,
303,304,305,306,307,309,311,312,313,314,315,318,319,320,321,322,323,324,325,
326,327,328,329,330,337,339,341,345,348,351,354,356,357,360,361,364,365,366,
367,368,370,373,374,375,376,377,378,379,380,381,382,383,386,387,388,391,392,
393,394,395,396,397,398,399,402,403,406,407,408,409,410,411,412,417,418,419,
420,421,424,426,427,428,435,440,446,448,456,460,461,464,468,469,470,541,544,
545,551,554,555,556,557,559,561,562,564,565,566,567,569,570,571,573,574,576,
577,584,586,589,592,593,594,598,600,602,603,605,606,607,611,612,613,614,615,
616,617,618,619,621,622,626,628,631,635,637,638,640,642,645,647,655,658,665,
675,680,686,694,704,706,708,711,714,721,723,798,803,804,805,806,807,808,815,
816,818,820,823,825,839,840,853,854,856,858,863,876,879,882,884,890,895,897,
986,994,996,999,1000,1004,1011,1096],[1,2,3,4,7,8,9,10,11,12,13,14,16,18,28,
29,30,32,33,35,36,37,39,41,42,45,47,48,49,50,51,52,53,54,55,56,57,58,60,63,65,
66,68,69,70,71,72,73,75,102,103,104,105,107,112,113,115,116,118,119,120,121,
122,123,124,125,127,128,129,130,131,133,134,135,136,137,139,142,146,147,149,
151,152,155,156,158,159,161,162,163,165,169,170,171,172,173,174,175,177,179,
180,181,185,186,187,190,191,194,195,197,198,200,204,205,207,209,210,211,213,
214,215,216,218,219,222,223,272,274,276,278,279,280,281,282,283,284,286,287,
288,289,290,291,295,297,301,302,303,304,307,308,311,314,316,318,324,325,328,
330,331,333,337,338,341,344,349,353,356,357,358,361,362,366,370,371,372,373,
374,378,379,380,386,390,391,392,393,394,396,397,398,399,401,402,404,405,406,
408,411,413,414,419,423,425,426,430,433,435,439,440,441,448,451,452,471,539,
542,546,551,552,554,557,559,561,563,565,566,567,569,571,578,579,581,585,587,
588,589,590,594,601,602,604,605,609,611,612,615,617,618,621,623,624,625,627,
630,632,634,635,636,637,639,640,642,643,649,655,656,659,660,666,674,705,718,
720,722,724,727,796,802,804,806,812,813,815,821,827,829,835,837,841,842,843,
844,867,870,881,882,885,888,895,896,899,911,980,983,985,986,991,995,1007,
1097],[1,2,3,4,7,8,9,10,11,12,13,14,16,18,28,29,30,31,32,33,34,35,36,37,38,39,
41,45,47,49,50,51,52,53,54,55,57,58,60,62,63,66,67,68,69,70,71,72,73,102,103,
105,106,107,112,113,114,115,116,117,118,119,120,121,122,123,125,126,127,128,
129,130,131,132,134,135,136,137,138,139,142,143,145,146,148,149,151,152,153,
154,155,156,157,158,159,160,161,163,164,165,168,169,170,171,172,173,175,177,
178,179,180,182,184,185,187,190,194,195,196,200,206,207,209,210,214,215,216,
217,218,219,222,271,272,274,276,278,280,281,282,283,284,285,287,288,289,290,
291,293,296,297,298,300,301,302,303,304,307,308,310,311,312,318,319,323,324,
327,328,330,331,335,337,338,340,341,353,355,358,362,364,366,367,370,371,374,
377,380,382,386,388,389,390,393,395,396,397,398,399,401,404,405,407,408,410,
411,412,414,415,417,418,420,421,423,425,426,427,429,434,444,451,452,461,473,
538,539,551,552,553,554,555,557,558,560,561,563,564,565,569,570,572,578,585,
587,589,592,598,599,604,606,607,609,610,612,614,618,619,620,621,622,623,625,
626,628,631,632,639,641,642,643,650,654,667,674,681,684,692,694,705,709,720,
722,726,727,729,796,797,807,808,810,811,813,815,819,824,827,831,832,843,851,
852,853,855,859,867,874,878,884,885,894,979,991,997,998,1000,1006,1012,1098],[
1,2,4,5,6,7,9,11,13,22,26,30,33,35,41,58,78,80,81,82,83,86,87,88,102,103,105,
112,129,242,251,253,274,284,479,483,486,487,488,491,492,503,539,749,919,927,
929,930,1099],[1,2,4,5,6,7,12,13,15,22,23,24,26,28,30,39,40,43,60,61,64,78,80,
82,83,89,90,98,101,131,139,208,220,236,238,243,249,251,260,263,275,294,411,
479,482,485,489,507,508,525,574,738,748,752,771,918,961,1029,1030,1100],[1,2,
4,5,6,7,11,12,13,22,26,28,30,39,41,44,60,78,80,81,82,83,86,87,88,101,102,109,
110,125,131,139,243,250,251,253,275,278,334,479,483,485,486,487,489,490,491,
492,514,540,752,756,918,919,928,931,932,933,1101],[1,2,4,5,6,7,12,13,17,22,23,
24,28,30,39,60,72,74,78,80,82,83,89,90,101,131,139,203,216,236,243,249,260,
263,275,347,358,479,481,485,489,507,508,701,738,748,771,918,1029,1102],[1,2,3,
4,5,6,7,8,9,10,12,13,14,18,20,21,22,23,24,25,28,30,32,33,34,36,39,42,50,60,62,
65,67,68,69,70,71,75,78,80,82,83,89,90,91,92,93,94,95,97,101,104,107,122,126,
129,130,131,132,133,139,146,147,154,161,171,175,226,230,236,237,241,243,244,
246,248,249,256,257,258,260,263,265,266,273,275,301,326,348,357,376,377,408,
479,480,485,489,495,496,501,505,507,508,513,515,531,616,736,737,738,747,748,
760,767,770,771,778,780,918,920,975,1029,1031,1103],[1,2,3,4,6,7,8,9,10,11,12,
13,14,16,18,22,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,47,48,50,51,52,
54,55,56,57,58,59,60,62,65,66,67,68,69,70,71,73,75,80,83,87,101,102,103,104,
105,106,107,109,110,111,112,113,114,115,116,121,122,124,125,126,127,128,129,
130,131,132,133,134,135,136,138,139,144,146,147,150,151,152,154,155,157,161,
162,166,171,173,174,175,180,183,184,185,188,189,190,193,201,202,210,212,214,
218,226,230,232,234,243,272,273,274,275,276,277,278,280,281,283,284,285,286,
288,290,291,292,295,300,301,302,303,304,305,306,308,309,312,317,318,319,320,
321,322,325,326,328,329,332,334,336,338,342,345,346,348,350,356,357,360,362,
365,368,369,371,376,377,380,381,383,385,398,400,403,408,412,424,426,428,469,
474,487,488,489,539,540,541,543,544,547,549,550,557,562,563,566,568,570,573,
578,582,585,586,587,591,593,595,596,597,616,621,633,638,644,658,661,663,672,
688,693,704,723,743,751,756,796,799,820,828,865,872,927,932,953,978,1041,
1104],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,22,28,29,30,31,32,33,34,35,36,37,
38,39,41,42,44,45,47,48,50,51,52,54,55,56,57,58,59,60,62,65,66,67,68,69,70,71,
73,75,80,81,83,84,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,
121,122,124,125,126,127,128,129,130,131,132,133,134,135,136,138,139,144,146,
147,150,151,152,154,155,157,161,162,166,171,173,174,175,180,183,184,185,188,
189,190,193,201,202,210,212,214,218,226,230,232,234,242,243,245,247,250,253,
261,272,273,274,275,276,277,278,280,281,283,284,285,286,288,290,291,292,295,
300,301,302,303,304,305,306,308,309,312,317,318,319,320,321,322,325,326,328,
329,332,334,336,338,342,345,346,348,350,356,357,360,362,365,368,369,371,376,
377,380,381,383,385,398,400,403,408,412,424,426,428,469,474,489,491,498,503,
514,520,539,540,541,543,544,547,549,550,557,562,563,566,568,570,573,578,582,
585,586,587,591,593,595,596,597,616,621,633,638,644,658,661,663,672,688,693,
704,723,744,753,796,799,820,828,865,872,929,933,940,954,965,968,978,1105],[1,
2,3,4,5,7,8,9,10,11,12,13,14,16,18,26,28,29,30,31,32,33,34,35,36,37,38,39,41,
42,44,45,47,48,50,51,52,54,55,56,57,58,59,60,62,65,66,67,68,69,70,71,73,75,82,
86,88,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,121,122,124,
125,126,127,128,129,130,131,132,133,134,135,136,138,139,144,146,147,150,151,
152,154,155,157,161,162,166,171,173,174,175,180,183,184,185,188,189,190,193,
201,202,210,212,214,218,226,230,232,234,251,272,273,274,275,276,277,278,280,
281,283,284,285,286,288,290,291,292,295,300,301,302,303,304,305,306,308,309,
312,317,318,319,320,321,322,325,326,328,329,332,334,336,338,342,345,346,348,
350,356,357,360,362,365,368,369,371,376,377,380,381,383,385,398,400,403,408,
412,424,426,428,469,474,485,486,490,492,539,540,541,543,544,547,549,550,557,
562,563,566,568,570,573,578,582,585,586,587,591,593,595,596,597,616,621,633,
638,644,658,661,663,672,688,693,704,723,749,752,754,759,796,799,820,828,865,
872,928,930,931,959,978,1045,1106],[1,2,3,4,6,7,8,9,10,11,12,13,14,18,22,28,
30,32,33,35,36,39,41,47,49,50,51,52,53,54,55,57,58,60,66,68,69,70,71,72,73,80,
87,90,102,103,105,107,112,113,115,116,121,122,123,125,127,128,129,130,131,134,
135,137,139,146,151,152,155,156,161,165,171,173,175,177,179,180,187,190,195,
210,214,215,216,218,243,272,274,276,278,280,281,283,284,288,290,291,301,302,
303,304,308,318,324,328,338,353,358,362,370,371,374,380,386,393,397,398,405,
408,411,426,451,452,487,488,507,539,551,557,561,563,578,585,587,612,621,625,
632,642,643,674,705,720,727,743,751,756,796,813,815,867,885,927,934,958,991,
1041,1107],[1,2,3,4,6,7,8,9,10,11,12,13,14,18,22,28,30,32,33,35,36,39,41,47,
50,51,52,54,55,57,58,60,63,66,68,69,70,71,73,80,87,94,102,103,105,107,112,113,
115,116,121,122,125,127,129,130,134,135,139,146,149,151,152,155,159,161,171,
172,173,175,180,190,210,214,218,243,272,274,276,278,281,283,284,288,290,291,
301,302,303,304,308,311,318,328,338,362,371,380,382,388,398,408,410,423,425,
426,487,488,496,538,539,557,563,564,578,585,587,607,621,623,626,628,743,751,
756,796,807,810,927,950,979,1041,1108],[1,2,3,4,6,7,8,9,10,12,13,14,15,16,22,
28,29,30,32,33,35,36,37,39,40,43,45,47,50,51,52,54,55,57,58,60,61,63,64,68,70,
80,84,85,94,103,105,107,112,113,115,116,118,119,120,127,129,130,134,136,139,
140,141,142,146,149,151,152,159,163,167,169,171,172,173,175,176,180,181,185,
194,199,200,204,208,220,242,243,245,247,252,254,272,281,282,283,284,288,290,
291,294,295,299,311,313,314,315,330,333,339,361,375,379,382,388,394,399,408,
410,414,423,425,426,440,488,493,496,499,517,527,530,538,545,546,548,556,557,
564,567,577,584,600,601,603,607,609,623,624,634,640,743,744,745,810,812,823,
891,938,943,950,970,981,1109],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,21,22,28,
29,30,32,33,35,36,37,39,41,45,47,50,51,52,53,54,55,57,58,60,63,66,68,69,70,71,
73,80,87,93,102,103,105,107,112,113,115,116,118,119,120,121,122,125,127,129,
130,134,135,136,137,139,142,146,149,151,152,155,158,159,161,163,169,170,171,
172,173,175,180,181,185,190,194,198,200,204,209,210,211,213,214,218,222,223,
243,244,272,274,276,278,281,282,283,284,288,289,290,291,295,301,302,303,304,
307,308,311,314,318,328,330,331,333,338,344,361,362,366,371,378,379,380,394,
396,397,398,399,408,413,414,423,425,426,433,439,440,441,471,487,488,505,539,
546,552,554,557,559,563,567,571,578,581,585,587,601,602,605,609,611,618,621,
623,624,627,634,640,655,718,722,724,742,743,751,755,756,796,804,812,827,837,
842,844,881,882,927,946,967,983,1041,1042,1110],[1,2,3,4,6,7,8,9,10,11,12,13,
14,15,17,18,22,24,28,30,32,33,35,36,39,40,41,43,47,50,51,52,54,55,57,58,60,61,
63,64,66,68,69,70,71,73,74,76,77,80,87,89,102,103,105,107,112,113,115,116,121,
122,125,127,129,130,134,135,139,140,141,146,149,151,152,155,159,161,167,171,
172,173,175,176,180,181,190,192,194,199,200,203,204,208,210,214,218,220,221,
225,229,231,233,243,249,269,272,274,276,278,281,283,284,288,290,291,294,299,
301,302,303,304,308,311,313,315,318,328,338,339,347,361,362,363,371,375,379,
380,382,388,394,398,399,408,422,426,436,440,443,447,453,454,455,476,487,488,
508,539,545,556,557,563,577,578,583,584,585,587,600,603,607,608,621,629,640,
673,676,682,687,690,710,715,719,743,750,751,756,764,796,823,830,838,845,848,
873,912,927,949,957,1003,1041,1044,1111],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,
18,20,21,22,28,29,30,31,32,33,34,35,36,37,38,39,41,45,47,49,50,51,52,53,54,55,
57,58,60,63,66,68,69,70,71,73,80,87,92,102,103,105,106,107,112,113,114,115,
116,117,118,119,120,121,122,123,125,126,127,129,130,134,135,136,137,138,139,
142,143,145,146,148,151,152,153,155,156,157,158,159,160,161,163,164,168,169,
170,171,173,175,177,178,180,182,184,185,190,194,196,200,206,207,210,214,217,
218,219,241,243,244,271,272,274,276,278,281,282,283,284,285,287,288,289,290,
291,293,296,297,298,301,302,303,304,307,308,310,318,323,324,327,328,330,331,
335,338,340,355,362,364,367,370,371,380,389,390,395,398,399,407,408,412,414,
415,417,421,423,426,427,429,434,444,473,487,488,501,539,552,553,554,555,557,
558,560,563,569,572,578,585,587,592,598,599,604,609,610,614,618,619,620,621,
631,641,692,694,726,729,742,743,746,751,755,756,796,797,808,811,819,827,831,
852,855,884,894,927,939,971,1006,1040,1041,1042,1112],[1,2,3,4,6,7,8,9,10,11,
12,13,14,18,22,25,28,30,32,33,35,36,39,41,42,47,48,49,50,51,52,53,54,55,56,57,
58,60,66,68,69,70,71,73,80,87,91,102,103,104,105,107,112,113,115,116,121,122,
123,124,125,127,129,130,134,135,137,139,146,151,152,155,156,161,162,171,173,
174,175,177,180,186,190,191,197,198,205,207,210,214,218,219,223,243,248,272,
274,276,278,279,281,283,284,286,288,290,291,301,302,303,304,308,316,318,324,
328,337,338,341,344,349,362,371,372,373,380,390,391,398,402,408,419,426,430,
435,487,488,495,539,542,557,563,565,578,579,585,587,588,590,615,617,621,630,
636,637,743,751,756,757,796,802,806,829,888,927,935,980,1041,1046,1113],[1,2,
3,4,5,7,8,9,10,11,12,13,14,15,17,18,23,26,28,30,32,33,34,36,39,40,41,42,43,44,
50,51,54,55,58,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,82,88,98,101,
102,104,107,109,110,112,115,122,125,126,128,129,130,131,132,133,134,135,139,
140,141,146,147,150,151,152,154,155,161,167,171,175,176,187,190,192,193,199,
203,208,212,215,216,218,220,221,224,225,226,227,228,229,230,231,233,235,251,
263,268,273,274,275,277,278,280,291,292,294,301,302,305,308,315,317,326,328,
329,332,334,336,338,339,346,347,348,350,353,357,358,360,362,363,369,371,375,
376,377,385,400,405,408,411,422,431,432,436,438,443,447,449,450,453,454,455,
462,476,477,485,486,490,525,540,545,551,573,574,576,587,591,596,616,625,629,
644,651,661,668,670,674,676,682,683,685,687,688,690,695,700,701,710,712,713,
719,727,748,749,752,754,759,761,766,798,799,845,860,864,885,900,909,910,913,
917,928,956,961,972,1017,1045,1053,1114],[1,2,3,4,5,7,8,9,10,11,12,13,14,17,
18,26,28,30,32,33,34,36,39,41,42,44,49,50,51,53,54,55,58,60,62,63,65,67,68,69,
70,71,72,73,74,75,82,88,96,101,102,104,107,109,110,112,115,122,123,125,126,
128,129,130,131,132,133,134,135,137,139,146,147,149,150,151,152,154,155,156,
159,161,165,171,172,175,177,179,187,190,192,193,195,203,212,215,216,218,221,
226,230,251,273,274,275,277,278,280,291,292,299,301,302,305,308,311,313,317,
324,326,328,329,332,334,336,338,346,347,348,350,353,357,358,360,362,363,364,
369,371,374,376,377,378,385,386,393,400,405,408,422,451,452,458,475,485,486,
490,522,540,556,561,573,587,589,591,596,613,616,625,629,644,653,661,673,679,
688,701,703,705,713,715,720,725,749,752,754,759,799,816,836,848,867,892,900,
928,962,966,973,1021,1045,1115],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,20,
24,25,30,31,33,34,35,37,41,42,43,47,49,51,53,54,56,58,60,61,63,64,66,67,68,71,
74,75,76,80,87,95,102,103,105,112,117,120,123,129,138,143,144,148,152,158,165,
167,168,172,174,177,178,183,186,191,194,195,197,198,199,202,203,204,206,207,
208,210,213,217,222,225,226,233,241,248,249,269,271,274,279,284,287,296,298,
299,337,339,349,351,361,386,388,401,402,406,416,417,419,420,422,428,439,442,
443,446,453,460,470,472,473,487,488,515,539,555,558,579,583,584,615,666,667,
671,673,675,676,691,696,746,750,757,764,797,802,838,856,857,866,871,927,963,
1025,1040,1044,1046,1116],[1,2,3,4,6,7,9,10,11,12,13,14,15,17,18,21,24,25,29,
30,33,35,37,41,42,43,49,50,51,52,53,54,56,57,58,60,61,62,63,64,66,70,71,74,75,
76,80,87,97,102,103,105,112,119,129,136,137,152,153,158,159,163,164,166,167,
168,170,172,173,174,177,179,182,186,188,194,195,196,197,198,199,200,202,203,
204,205,207,208,209,211,214,225,230,233,244,248,249,269,274,279,282,284,289,
299,307,330,331,337,339,349,352,354,361,381,388,391,392,393,399,402,404,418,
422,423,427,433,434,443,446,453,456,457,467,468,487,488,513,539,552,554,579,
583,584,609,615,618,649,652,665,673,676,678,684,716,742,750,755,757,764,802,
827,838,854,868,869,883,927,960,1028,1042,1044,1046,1117],[1,2,3,4,6,7,8,9,10,
12,13,14,16,18,20,21,22,24,25,28,29,30,31,32,33,34,35,36,37,38,39,42,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,80,83,
84,89,90,91,92,93,94,95,97,101,103,104,105,106,107,108,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,166,168,169,170,171,172,173,174,175,177,178,
180,181,182,183,184,185,188,189,194,196,198,200,201,202,204,206,207,209,210,
211,213,214,217,219,222,223,226,230,232,234,241,242,243,244,245,246,247,248,
249,255,256,257,258,260,261,265,266,271,272,273,275,276,280,281,282,283,284,
285,286,287,288,289,290,291,293,295,296,297,298,300,301,303,304,305,306,307,
309,310,311,312,314,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
333,335,340,343,344,345,348,349,352,355,356,357,359,360,361,364,365,366,367,
368,370,372,376,377,378,379,380,381,383,384,389,390,394,395,396,397,398,399,
403,407,408,412,413,414,415,416,417,418,420,421,423,424,425,426,427,428,429,
430,433,434,439,440,441,442,444,445,457,461,463,465,466,467,469,471,472,473,
489,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,515,517,520,528,531,541,544,546,552,553,557,558,560,562,566,567,
569,570,572,573,575,580,581,586,590,592,593,598,599,601,604,606,609,610,611,
613,616,620,621,622,623,624,627,634,638,640,641,642,645,646,655,658,660,662,
669,678,681,692,694,696,697,702,704,707,709,714,717,718,721,722,723,724,726,
729,730,733,744,747,758,760,762,763,765,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,793,811,812,820,821,822,825,832,842,855,858,877,
889,893,898,903,905,936,940,941,943,944,947,955,974,975,976,984,1052,1054,
1057,1059,1066,1069,1072,1118],[1,2,3,4,6,7,8,9,10,12,13,14,18,20,21,22,24,25,
29,31,32,33,34,35,37,39,40,42,44,47,48,49,51,53,54,56,58,60,61,63,64,66,67,68,
71,72,75,83,89,90,91,92,93,94,95,97,105,106,109,113,115,117,120,128,132,137,
138,143,144,148,149,152,153,158,162,171,172,174,176,177,178,179,183,186,191,
194,195,198,199,202,204,205,206,207,210,211,213,216,217,220,222,224,226,235,
242,245,246,250,256,257,258,260,265,266,271,281,289,313,315,316,317,319,323,
340,341,349,353,361,373,382,384,391,392,393,404,409,410,416,417,420,428,438,
439,442,448,456,460,462,464,472,473,494,498,499,502,503,504,506,509,511,512,
514,518,521,531,543,553,571,588,603,628,632,647,649,654,670,677,696,698,699,
706,725,763,768,769,773,776,777,779,781,786,795,833,841,846,851,887,897,954,
974,1018,1063,1071,1073,1119],[1,2,3,4,6,7,8,9,10,12,13,14,16,18,20,21,22,24,
25,28,29,30,31,32,33,34,35,36,37,38,39,42,45,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,62,63,65,66,67,68,69,70,71,73,75,80,83,89,90,91,92,93,94,95,97,101,
103,104,105,106,107,111,112,113,114,115,116,121,122,123,124,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,144,146,147,149,150,151,152,154,155,
156,157,159,161,162,166,171,172,173,174,175,177,180,183,184,185,186,188,189,
191,196,197,198,201,202,205,207,210,211,213,214,217,219,223,226,230,232,234,
241,243,244,246,248,249,256,257,258,260,265,266,272,273,275,276,279,280,281,
283,284,285,286,288,290,291,295,298,300,301,303,304,305,306,309,310,311,312,
316,318,319,320,321,322,324,325,326,328,329,331,337,340,341,344,345,348,349,
352,355,356,357,359,360,364,365,368,372,373,376,377,378,380,381,382,383,384,
388,390,391,392,398,402,403,406,408,410,412,413,416,419,423,424,425,426,428,
430,435,448,469,488,489,495,496,501,505,507,508,513,515,531,538,541,542,544,
557,562,564,565,566,570,573,579,580,586,588,590,593,594,607,612,613,616,617,
620,621,623,630,635,636,638,658,664,671,677,689,699,702,704,716,717,723,724,
729,742,743,746,747,750,751,755,757,760,767,770,771,778,780,794,809,810,818,
820,824,829,862,863,889,899,934,935,939,946,949,950,953,960,963,967,971,975,
993,1051,1060,1064,1065,1067,1068,1070,1120],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,17,18,20,21,22,24,25,30,31,33,34,35,37,41,42,43,47,49,51,53,54,56,58,60,61,
63,64,66,67,68,71,74,75,76,81,83,89,90,91,92,93,94,95,97,102,103,105,112,117,
120,123,129,138,143,144,148,152,158,165,167,168,172,174,177,178,183,186,191,
194,195,197,198,199,202,203,204,206,207,208,210,213,217,222,225,226,233,242,
246,253,256,257,258,260,262,265,266,271,274,279,284,287,296,298,299,337,339,
349,351,361,386,388,401,402,406,416,417,419,420,422,428,439,442,443,446,453,
460,470,472,473,491,499,502,503,504,506,511,512,523,524,531,539,555,558,579,
583,584,615,666,667,671,673,675,676,691,696,768,769,773,776,777,779,781,783,
797,802,838,856,857,866,871,929,974,1025,1043,1050,1058,1121],[1,2,3,4,6,7,8,
9,10,11,12,13,14,15,17,18,20,21,22,24,25,28,30,32,33,34,36,39,40,41,42,43,44,
50,51,54,55,58,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,80,83,85,89,90,
91,92,93,94,95,97,101,102,104,107,109,110,112,115,122,125,126,128,129,130,131,
132,133,134,135,139,140,141,146,147,150,151,152,154,155,161,167,171,175,176,
187,190,192,193,199,203,208,212,215,216,218,220,221,224,225,226,227,228,229,
230,231,233,235,241,243,244,246,248,249,252,254,256,257,258,259,260,264,265,
266,273,274,275,277,278,280,291,292,294,301,302,305,308,315,317,326,328,329,
332,334,336,338,339,346,347,348,350,353,357,358,360,362,363,369,371,375,376,
377,385,400,405,408,411,422,431,432,436,438,443,447,449,450,453,454,455,462,
476,477,489,495,496,501,505,507,508,513,515,516,519,526,527,529,530,531,540,
545,551,573,574,576,587,591,596,616,625,629,644,651,661,668,670,674,676,682,
683,685,687,688,690,695,700,701,710,712,713,719,727,745,747,760,767,770,771,
778,780,784,787,798,799,845,860,864,885,900,909,910,913,917,937,938,942,945,
948,951,952,975,1017,1047,1048,1049,1055,1056,1061,1062,1122],[1,2,3,7,8,9,10,
14,16,27,28,29,31,32,33,34,35,36,37,38,42,45,46,47,50,52,57,59,99,101,104,105,
106,107,108,111,114,116,117,118,119,120,126,127,130,136,138,142,145,157,160,
163,169,173,180,184,185,271,273,282,283,285,293,295,306,333,335,343,389,412,
414,415,532,533,544,546,572,575,788,789,793,1123],[1,2,3,7,8,9,10,14,27,28,32,
33,34,36,42,48,50,56,66,99,101,103,104,107,113,121,124,126,130,162,174,272,
273,276,279,286,316,322,532,538,541,542,789,794,1082,1124],[1,2,4,5,7,11,12,
13,19,23,28,30,39,41,44,60,79,82,88,101,102,109,110,125,131,139,263,275,278,
334,485,486,490,534,535,540,741,748,921,928,1125],[1,2,4,6,7,12,13,15,19,22,
24,28,30,39,40,43,60,61,64,79,80,83,85,89,90,101,131,139,208,220,243,249,252,
254,260,275,294,411,489,507,508,536,574,741,745,771,921,951,1126],[1,2,4,5,7,
12,13,17,19,26,28,30,39,60,72,74,79,82,96,100,101,131,139,203,216,239,251,270,
275,347,358,485,522,537,701,741,752,921,966,977,1033,1083,1127],[1,2,3,4,7,8,
9,10,11,12,13,14,15,16,17,18,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,76,77,101,102,103,104,105,106,107,108,109,110,111,112,113,
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,
228,229,230,231,232,233,234,235,271,272,273,274,275,276,277,278,279,280,281,
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,
472,473,474,475,476,477,478,538,539,540,541,542,543,544,545,546,547,548,549,
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,
721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,793,794,795,796,
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,
911,912,913,914,915,916,917,978,979,980,981,982,983,984,985,986,987,988,989,
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,
1022,1023,1024,1025,1026,1027,1028,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1128],[1,2,3,4,5,6,7,9,11,13,14,20,21,22,
25,26,30,33,35,41,42,49,53,56,58,66,78,80,81,82,83,86,87,88,92,93,102,103,105,
112,129,174,177,186,197,198,207,237,242,246,248,251,253,274,279,284,337,349,
402,479,483,486,487,488,491,492,503,504,512,539,579,615,736,749,757,773,802,
919,927,929,930,1043,1046,1099,1129],[1,2,3,4,5,6,7,8,9,10,11,13,20,22,25,26,
30,31,33,34,35,37,41,47,49,58,78,80,81,82,83,86,87,88,91,94,102,103,105,112,
117,120,123,129,138,168,178,237,241,242,251,253,257,271,274,284,287,296,298,
479,483,486,487,488,491,492,499,503,506,539,555,558,737,746,749,776,797,919,
927,929,930,1040,1050,1099,1130],[1,2,4,5,6,7,9,11,12,13,15,17,22,23,24,26,30,
33,35,41,43,51,54,58,60,61,63,64,74,76,78,80,81,82,83,86,87,88,89,90,96,98,
102,103,105,112,129,152,167,172,194,199,203,204,208,225,233,236,242,249,251,
253,260,262,263,267,268,269,274,284,299,339,361,388,422,443,453,479,483,486,
487,488,491,492,502,503,511,522,523,524,525,539,583,584,673,676,738,739,749,
750,761,764,768,783,785,838,919,927,929,930,956,962,1032,1044,1058,1076,1099,
1131],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,28,30,32,
33,34,36,39,40,42,43,50,60,61,62,64,65,67,68,69,70,71,72,74,75,77,78,80,82,83,
89,90,91,92,93,94,95,97,98,101,104,107,122,126,129,130,131,132,133,139,146,
147,154,161,171,175,203,208,216,220,226,227,228,229,230,231,236,237,238,241,
243,244,246,248,249,251,256,257,258,260,263,265,266,273,275,294,301,326,347,
348,357,358,376,377,408,411,443,450,455,462,479,480,481,482,485,489,495,496,
501,505,507,508,513,515,525,531,574,616,682,683,695,701,727,736,737,738,740,
747,748,752,760,767,770,771,778,780,913,918,920,961,975,1029,1030,1031,1100,
1102,1103,1132],[1,2,4,5,6,7,11,12,13,15,17,22,23,24,26,28,30,39,40,41,43,44,
60,61,64,72,74,76,78,80,81,82,83,86,87,88,89,90,96,98,101,102,109,110,125,131,
139,203,208,216,220,224,225,233,235,236,243,249,250,251,253,260,262,263,267,
268,269,275,278,294,334,347,358,411,438,447,449,453,479,483,485,486,487,489,
490,491,492,507,508,514,518,521,522,523,524,525,540,574,651,674,685,701,719,
738,739,748,752,756,761,764,766,771,783,785,786,910,918,919,928,931,932,933,
957,958,961,966,1029,1032,1053,1077,1079,1081,1101,1133],[1,2,6,7,8,9,22,27,
28,32,33,80,94,103,107,113,240,243,272,488,496,532,538,743,922,950,1082,
1134],[1,2,4,6,7,11,12,13,15,17,22,24,27,28,30,39,40,41,43,60,61,64,74,76,80,
85,87,89,102,125,139,203,208,220,225,233,240,243,249,252,254,259,269,278,294,
347,447,453,487,508,526,532,719,745,756,764,922,925,948,957,1135],[1,2,3,6,7,
9,10,14,16,21,22,27,28,29,33,35,36,37,45,50,52,53,57,63,66,80,84,93,103,121,
130,136,137,159,173,185,198,211,213,223,240,242,243,244,245,247,276,295,331,
344,378,413,423,488,494,505,512,532,724,742,744,751,755,922,941,967,1136],[1,
2,3,4,6,7,8,9,10,11,12,13,14,16,18,20,21,22,28,29,30,31,32,33,34,35,36,37,38,
39,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,
70,71,73,75,80,81,83,84,92,93,101,102,103,104,105,106,107,109,110,111,112,113,
114,115,116,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,144,146,147,149,150,151,152,154,155,156,157,159,161,162,166,171,
172,173,174,175,177,180,183,184,185,186,188,189,190,191,193,196,197,198,201,
202,205,207,210,211,212,213,214,217,218,219,223,226,230,232,234,241,242,243,
244,245,246,247,250,253,261,272,273,274,275,276,277,278,279,280,281,283,284,
285,286,288,290,291,292,295,298,300,301,302,303,304,305,306,308,309,310,311,
312,316,317,318,319,320,321,322,324,325,326,328,329,331,332,334,336,337,338,
340,341,342,344,345,346,348,349,350,352,355,356,357,359,360,362,364,365,368,
369,371,372,373,376,377,378,380,381,382,383,384,385,388,390,391,392,398,400,
402,403,406,408,410,412,413,416,419,423,424,425,426,428,430,435,448,469,474,
489,491,494,498,501,503,504,505,509,512,514,520,538,539,540,541,542,543,544,
547,549,550,557,562,563,564,565,566,568,570,573,578,579,580,582,585,586,587,
588,590,591,593,594,595,596,597,607,612,613,615,616,617,620,621,623,626,628,
630,633,635,636,637,638,644,647,658,661,663,664,671,672,677,680,688,689,693,
699,702,704,716,717,723,724,729,744,747,753,763,773,794,796,799,802,806,807,
809,810,818,820,824,828,829,833,849,862,863,865,872,876,888,889,899,916,929,
933,940,941,947,954,965,968,978,979,980,990,993,1008,1011,1043,1052,1071,1086,
1105,1137],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,20,21,22,28,29,30,31,32,33,
34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,
63,65,66,67,68,69,70,71,73,75,80,83,87,92,93,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,166,168,169,
170,171,172,173,174,175,177,178,180,181,182,183,184,185,188,189,190,193,194,
196,198,200,201,202,204,206,207,209,210,211,212,213,214,217,218,219,222,223,
226,230,232,234,241,243,244,246,271,272,273,274,275,276,277,278,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,295,296,297,298,300,301,302,303,
304,305,306,307,308,309,310,311,312,314,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,338,340,342,343,344,345,346,348,
349,350,352,355,356,357,359,360,361,362,364,365,366,367,368,369,370,371,372,
376,377,378,379,380,381,383,384,385,389,390,394,395,396,397,398,399,400,403,
407,408,412,413,414,415,416,417,418,420,421,423,424,425,426,427,428,429,430,
433,434,439,440,441,442,444,445,457,461,463,465,466,467,469,471,472,473,474,
487,488,489,501,505,539,540,541,543,544,546,547,549,550,552,553,554,555,557,
558,559,560,562,563,566,567,568,569,570,571,572,573,575,578,580,581,582,585,
586,587,590,591,592,593,595,596,597,598,599,601,602,604,605,606,609,610,611,
613,614,616,618,619,620,621,622,623,624,627,631,633,634,638,640,641,642,644,
645,646,655,658,660,661,662,663,669,672,678,681,688,692,693,694,696,697,702,
704,707,709,714,717,718,721,722,723,724,726,729,730,733,742,743,746,747,751,
755,756,793,795,796,797,799,801,804,808,811,812,814,817,819,820,821,822,825,
826,827,828,831,832,837,839,840,842,844,852,855,858,861,865,872,877,880,881,
882,884,889,890,893,894,898,903,905,927,932,939,946,953,967,971,978,983,984,
989,994,1005,1006,1014,1024,1040,1041,1042,1068,1084,1104,1110,1112,1138],[1,
2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,22,24,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,80,81,83,84,89,90,101,102,103,104,105,
106,107,109,110,111,112,113,114,115,116,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,143,144,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,161,162,164,165,166,167,168,170,171,172,
173,174,175,176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,192,
193,194,195,197,199,200,201,202,203,204,205,208,210,212,214,215,216,218,220,
221,224,225,226,227,228,229,230,231,232,233,234,235,242,243,245,247,249,250,
253,260,261,262,272,273,274,275,276,277,278,280,281,283,284,285,286,288,290,
291,292,294,295,296,299,300,301,302,303,304,305,306,307,308,309,311,312,313,
315,317,318,319,320,321,322,323,324,325,326,327,328,329,332,334,336,338,339,
342,345,346,347,348,350,351,353,354,356,357,358,360,361,362,363,364,365,367,
368,369,370,371,373,374,375,376,377,378,379,380,381,382,383,385,386,387,388,
391,393,394,395,396,397,398,399,400,402,403,405,408,409,411,412,417,419,421,
422,424,426,427,428,431,432,435,436,437,438,440,443,446,447,448,449,450,451,
452,453,454,455,456,458,459,460,462,464,468,469,470,474,475,476,477,478,489,
491,497,498,500,502,503,507,508,511,514,518,520,521,523,524,539,540,541,543,
544,545,547,549,550,551,556,557,561,562,563,566,568,570,573,574,576,577,578,
582,583,584,585,586,587,589,591,592,593,594,595,596,597,600,603,606,607,608,
612,613,616,617,621,625,629,632,633,638,640,642,643,644,648,651,653,655,658,
661,663,665,668,670,672,673,674,675,676,679,682,683,685,686,687,688,690,693,
694,695,700,701,703,704,705,706,708,710,711,712,713,714,715,719,720,721,723,
725,727,728,731,732,734,735,744,753,768,771,775,783,786,796,798,799,803,805,
813,815,816,820,823,828,830,834,836,838,845,848,850,853,858,860,863,864,865,
867,872,873,885,887,892,895,900,901,902,904,906,908,909,910,912,913,917,929,
933,936,940,954,955,964,965,968,969,978,988,991,992,999,1003,1010,1017,1021,
1026,1027,1058,1063,1069,1074,1077,1094,1105,1139],[1,2,3,4,6,7,8,9,10,11,12,
13,14,16,18,22,25,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,80,83,87,91,94,
101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,144,146,147,149,
150,151,152,154,155,156,157,159,161,162,166,171,172,173,174,175,177,180,183,
184,185,186,188,189,190,191,193,196,197,198,201,202,205,207,210,211,212,213,
214,217,218,219,223,226,230,232,234,243,248,257,272,273,274,275,276,277,278,
279,280,281,283,284,285,286,288,290,291,292,295,298,300,301,302,303,304,305,
306,308,309,310,311,312,316,317,318,319,320,321,322,324,325,326,328,329,331,
332,334,336,337,338,340,341,342,344,345,346,348,349,350,352,355,356,357,359,
360,362,364,365,368,369,371,372,373,376,377,378,380,381,382,383,384,385,388,
390,391,392,398,400,402,403,406,408,410,412,413,416,419,423,424,425,426,428,
430,435,448,469,474,487,488,489,495,496,538,539,540,541,542,543,544,547,549,
550,557,562,563,564,565,566,568,570,573,578,579,580,582,585,586,587,588,590,
591,593,594,595,596,597,607,612,613,615,616,617,620,621,623,626,628,630,633,
635,636,637,638,644,647,658,661,663,664,671,672,677,680,688,689,693,699,702,
704,716,717,723,724,729,743,751,756,757,780,794,796,799,802,806,807,809,810,
818,820,824,828,829,833,849,862,863,865,872,876,888,889,899,916,927,932,935,
950,953,978,979,980,990,993,1008,1011,1041,1046,1065,1086,1104,1108,1113,
1140],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,60,
61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,80,87,89,91,92,95,97,102,103,104,
105,106,107,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
129,130,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,
191,192,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,213,214,217,218,219,220,221,222,223,225,226,229,230,231,233,241,243,244,
248,249,258,269,271,272,274,276,278,279,281,282,283,284,285,286,287,288,289,
290,291,293,294,296,297,298,299,301,302,303,304,307,308,309,310,311,313,315,
316,318,320,321,323,324,327,328,330,331,335,337,338,339,340,341,344,347,348,
349,351,352,354,355,359,361,362,363,364,366,367,370,371,372,373,374,375,379,
380,381,382,384,386,387,388,389,390,391,392,393,394,395,398,399,401,402,404,
406,407,408,409,412,413,414,415,416,417,418,419,420,421,422,423,426,427,428,
429,430,433,434,435,436,439,440,441,442,443,444,445,446,447,453,454,455,456,
457,460,461,463,464,465,466,467,468,469,470,471,472,473,476,487,488,495,501,
508,513,515,539,542,545,552,553,554,555,556,557,558,560,561,562,563,565,569,
572,577,578,579,580,583,584,585,587,588,590,592,598,599,600,603,604,607,608,
609,610,614,615,617,618,619,620,621,622,629,630,631,635,636,637,639,640,641,
646,649,650,652,654,656,657,659,664,665,666,667,669,671,673,675,676,678,682,
684,686,687,690,691,692,694,696,697,698,699,706,707,708,710,711,715,716,718,
719,726,729,730,733,742,743,746,750,751,755,756,757,764,767,796,797,802,803,
806,808,811,819,823,827,829,830,831,838,845,846,847,848,852,854,855,856,857,
859,862,866,868,869,871,873,875,877,883,884,888,894,896,907,912,915,927,935,
939,949,957,960,963,971,980,996,1001,1002,1003,1006,1009,1013,1022,1025,1028,
1040,1041,1042,1044,1046,1060,1095,1111,1112,1113,1116,1117,1141],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,18,21,22,24,28,29,30,32,33,35,36,37,39,40,41,43,
45,47,50,51,52,53,54,55,57,58,60,61,63,64,66,68,69,70,71,73,74,76,77,80,84,85,
89,93,94,102,103,105,107,112,113,115,116,118,119,120,121,122,125,127,129,130,
134,135,136,137,139,140,141,142,146,149,151,152,155,158,159,161,163,167,169,
170,171,172,173,175,176,180,181,185,190,192,194,198,199,200,203,204,208,209,
210,211,213,214,218,220,221,222,223,225,229,231,233,242,243,244,245,247,249,
252,254,259,264,265,272,274,276,278,281,282,283,284,288,289,290,291,294,295,
299,301,302,303,304,307,308,311,313,314,315,318,328,330,331,333,338,339,344,
347,361,362,363,366,371,375,378,379,380,382,388,394,396,397,398,399,408,410,
413,414,422,423,425,426,433,436,439,440,441,443,447,453,454,455,471,476,488,
493,494,496,497,499,502,505,508,512,517,519,526,527,530,538,539,545,546,548,
552,554,556,557,559,563,564,567,571,577,578,581,583,584,585,587,600,601,602,
603,605,607,608,609,611,618,621,623,624,626,627,628,629,634,640,655,673,676,
682,687,690,710,715,718,719,722,724,743,744,745,750,755,770,774,777,784,796,
804,807,810,812,823,827,830,837,838,842,844,845,848,873,879,881,882,891,897,
912,914,938,941,942,943,946,948,949,950,955,970,979,981,982,983,987,1003,1004,
1055,1070,1072,1092,1109,1142],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,21,22,25,
28,29,30,32,33,35,36,37,39,41,42,45,47,48,49,50,51,52,53,54,55,56,57,58,60,63,
65,66,68,69,70,71,72,73,75,80,87,90,91,93,102,103,104,105,107,112,113,115,116,
118,119,120,121,122,123,124,125,127,128,129,130,131,133,134,135,136,137,139,
142,146,147,149,151,152,155,156,158,159,161,162,163,165,169,170,171,172,173,
174,175,177,179,180,181,185,186,187,190,191,194,195,197,198,200,204,205,207,
209,210,211,213,214,215,216,218,219,222,223,243,244,248,256,272,274,276,278,
279,280,281,282,283,284,286,287,288,289,290,291,295,297,301,302,303,304,307,
308,311,314,316,318,324,325,328,330,331,333,337,338,341,344,349,353,356,357,
358,361,362,366,370,371,372,373,374,378,379,380,386,390,391,392,393,394,396,
397,398,399,401,402,404,405,406,408,411,413,414,419,423,425,426,430,433,435,
439,440,441,448,451,452,471,487,488,495,505,507,539,542,546,551,552,554,557,
559,561,563,565,566,567,569,571,578,579,581,585,587,588,589,590,594,601,602,
604,605,609,611,612,615,617,618,621,623,624,625,627,630,632,634,635,636,637,
639,640,642,643,649,655,656,659,660,666,674,705,718,720,722,724,727,742,743,
751,755,756,757,778,796,802,804,806,812,813,815,821,827,829,835,837,841,842,
843,844,867,870,881,882,885,888,895,896,899,911,927,934,935,946,958,967,980,
983,985,986,991,995,1007,1041,1042,1046,1051,1097,1107,1110,1113,1143],[1,2,3,
4,6,7,8,9,10,12,13,14,15,16,20,21,22,28,29,30,31,32,33,34,35,36,37,38,39,40,
43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,72,
73,75,80,84,85,90,92,94,103,105,106,107,109,110,112,113,114,115,116,118,119,
120,121,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,146,147,149,150,151,152,154,155,156,157,159,161,163,164,
166,167,169,171,172,173,175,176,177,180,181,182,183,185,187,188,193,194,199,
200,201,204,206,207,208,211,212,213,215,216,219,220,224,227,228,235,241,242,
243,244,245,247,252,254,266,272,277,280,281,282,283,284,285,287,288,290,291,
294,295,298,299,300,304,309,310,311,312,313,314,315,317,318,319,321,322,324,
326,327,329,330,331,332,333,334,336,337,338,339,340,341,345,346,353,356,358,
360,361,362,364,365,369,370,371,375,376,377,379,380,382,385,388,390,394,396,
399,400,403,405,407,408,410,413,414,423,424,425,426,431,432,438,440,442,445,
449,450,457,462,465,477,488,493,496,499,500,501,504,507,509,511,516,517,527,
529,530,538,543,545,546,548,554,555,556,557,559,560,564,565,567,568,570,577,
582,584,585,591,593,595,597,598,600,601,603,604,605,607,609,612,614,615,620,
623,624,625,627,631,632,634,637,640,643,647,651,668,669,670,672,680,688,695,
700,702,703,709,712,721,723,725,742,743,744,745,746,760,765,779,787,806,808,
810,812,813,823,824,826,828,844,850,854,856,860,876,880,887,890,891,892,893,
894,904,911,934,936,937,938,939,943,947,950,952,970,981,992,996,997,1005,1007,
1008,1056,1057,1067,1091,1109,1144],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,22,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,
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,
80,83,87,89,90,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,143,144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,161,
162,164,165,166,167,168,170,171,172,173,174,175,176,177,178,179,180,181,183,
184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,
205,208,210,212,214,215,216,218,220,221,224,225,226,227,228,229,230,231,232,
233,234,235,243,249,260,269,272,273,274,275,276,277,278,280,281,283,284,285,
286,288,290,291,292,294,295,296,299,300,301,302,303,304,305,306,307,308,309,
311,312,313,315,317,318,319,320,321,322,323,324,325,326,327,328,329,332,334,
336,338,339,342,345,346,347,348,350,351,353,354,356,357,358,360,361,362,363,
364,365,367,368,369,370,371,373,374,375,376,377,378,379,380,381,382,383,385,
386,387,388,391,393,394,395,396,397,398,399,400,402,403,405,408,409,411,412,
417,419,421,422,424,426,427,428,431,432,435,436,437,438,440,443,446,447,448,
449,450,451,452,453,454,455,456,458,459,460,462,464,468,469,470,474,475,476,
477,478,487,488,489,507,508,539,540,541,543,544,545,547,549,550,551,556,557,
561,562,563,566,568,570,573,574,576,577,578,582,583,584,585,586,587,589,591,
592,593,594,595,596,597,600,603,606,607,608,612,613,616,617,621,625,629,632,
633,638,640,642,643,644,648,651,653,655,658,661,663,665,668,670,672,673,674,
675,676,679,682,683,685,686,687,688,690,693,694,695,700,701,703,704,705,706,
708,710,711,712,713,714,715,719,720,721,723,725,727,728,731,732,734,735,743,
750,751,756,764,771,796,798,799,803,805,813,815,816,820,823,828,830,834,836,
838,845,848,850,853,858,860,863,864,865,867,872,873,885,887,892,895,900,901,
902,904,906,908,909,910,912,913,917,927,932,934,949,953,957,958,978,988,991,
992,999,1003,1010,1017,1021,1026,1027,1041,1044,1064,1081,1094,1104,1107,1111,
1145],[1,2,3,4,6,7,8,9,10,12,13,14,15,16,18,22,25,28,29,30,31,32,33,34,35,36,
37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,73,75,80,83,84,85,91,94,101,103,104,105,106,107,108,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,126,127,128,129,130,131,
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,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,
191,194,195,196,197,198,199,200,201,202,204,205,206,207,208,209,210,211,213,
214,217,219,220,222,223,226,230,232,234,242,243,245,247,248,252,254,255,257,
261,271,272,273,275,276,279,280,281,282,283,284,285,286,287,288,289,290,291,
293,294,295,296,297,298,299,300,301,303,304,305,306,307,309,310,311,312,313,
314,315,316,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,335,
337,339,340,341,343,344,345,348,349,351,352,354,355,356,357,359,360,361,364,
365,366,367,368,370,372,373,374,375,376,377,378,379,380,381,382,383,384,386,
387,388,389,390,391,392,393,394,395,396,397,398,399,401,402,403,404,406,407,
408,409,410,411,412,413,414,415,416,417,418,419,420,421,423,424,425,426,427,
428,429,430,433,434,435,439,440,441,442,444,445,446,448,456,457,460,461,463,
464,465,466,467,468,469,470,471,472,473,488,489,493,495,496,498,499,503,506,
510,517,520,527,528,530,538,541,542,544,545,546,548,551,552,553,556,557,558,
560,561,562,564,565,566,567,569,570,572,573,574,575,576,577,579,580,581,584,
586,588,589,590,592,593,594,598,599,600,601,603,604,606,607,609,610,611,612,
613,616,617,620,621,622,623,624,627,630,634,635,636,638,639,640,641,642,645,
646,649,650,652,654,655,656,657,658,659,660,662,664,665,666,667,669,671,675,
677,678,681,684,686,689,691,692,694,696,697,698,699,702,704,706,707,708,709,
711,714,716,717,718,721,722,723,724,726,729,730,733,743,744,745,751,757,772,
776,780,782,793,794,798,800,803,805,809,810,811,812,815,816,818,820,821,822,
823,824,825,829,832,842,843,846,847,853,855,858,859,862,863,866,869,870,875,
877,878,886,889,891,893,895,896,898,899,903,905,907,915,935,938,940,943,944,
945,950,951,953,970,981,984,985,993,998,999,1009,1016,1019,1048,1054,1065,
1078,1085,1109,1146],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,22,25,28,29,30,31,
32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,62,63,65,66,67,68,69,70,71,73,75,80,81,83,84,91,94,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,142,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,166,
168,169,170,171,172,173,174,175,177,178,180,181,182,183,184,185,188,189,190,
193,194,196,198,200,201,202,204,206,207,209,210,211,212,213,214,217,218,219,
222,223,226,230,232,234,242,243,245,247,248,250,253,255,257,261,271,272,273,
274,275,276,277,278,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
295,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,314,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,
338,340,342,343,344,345,346,348,349,350,352,355,356,357,359,360,361,362,364,
365,366,367,368,369,370,371,372,376,377,378,379,380,381,383,384,385,389,390,
394,395,396,397,398,399,400,403,407,408,412,413,414,415,416,417,418,420,421,
423,424,425,426,427,428,429,430,433,434,439,440,441,442,444,445,457,461,463,
465,466,467,469,471,472,473,474,489,491,493,495,496,498,499,503,506,510,514,
517,520,528,539,540,541,543,544,546,547,549,550,552,553,554,555,557,558,559,
560,562,563,566,567,568,569,570,571,572,573,575,578,580,581,582,585,586,587,
590,591,592,593,595,596,597,598,599,601,602,604,605,606,609,610,611,613,614,
616,618,619,620,621,622,623,624,627,631,633,634,638,640,641,642,644,645,646,
655,658,660,661,662,663,669,672,678,681,688,692,693,694,696,697,702,704,707,
709,714,717,718,721,722,723,724,726,729,730,733,744,753,772,776,780,782,793,
795,796,797,799,801,804,808,811,812,814,817,819,820,821,822,825,826,827,828,
831,832,837,839,840,842,844,852,855,858,861,865,872,877,880,881,882,884,889,
890,893,894,898,903,905,929,933,940,943,944,954,965,968,978,983,984,989,994,
1005,1006,1014,1024,1050,1054,1073,1080,1084,1105,1147],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,18,21,22,24,28,29,30,32,33,35,36,37,39,40,41,43,45,47,50,
51,52,53,54,55,57,58,60,61,63,64,66,68,69,70,71,73,74,76,77,80,87,89,93,94,
102,103,105,107,112,113,115,116,118,119,120,121,122,125,127,129,130,134,135,
136,137,139,140,141,142,146,149,151,152,155,158,159,161,163,167,169,170,171,
172,173,175,176,180,181,185,190,192,194,198,199,200,203,204,208,209,210,211,
213,214,218,220,221,222,223,225,229,231,233,243,244,249,265,269,272,274,276,
278,281,282,283,284,288,289,290,291,294,295,299,301,302,303,304,307,308,311,
313,314,315,318,328,330,331,333,338,339,344,347,361,362,363,366,371,375,378,
379,380,382,388,394,396,397,398,399,408,410,413,414,422,423,425,426,433,436,
439,440,441,443,447,453,454,455,471,476,487,488,496,505,508,538,539,545,546,
548,552,554,556,557,559,563,564,567,571,577,578,581,583,584,585,587,600,601,
602,603,605,607,608,609,611,618,621,623,624,626,627,628,629,634,640,655,673,
676,682,687,690,710,715,718,719,722,724,742,743,750,751,755,756,764,770,796,
804,807,810,812,823,827,830,837,838,842,844,845,848,873,879,881,882,891,897,
912,914,927,946,949,950,957,967,979,981,982,983,987,1003,1004,1041,1042,1044,
1070,1092,1108,1110,1111,1148],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,18,20,21,22,
28,29,30,31,32,33,34,35,36,37,38,39,41,45,47,49,50,51,52,53,54,55,57,58,60,62,
63,66,67,68,69,70,71,72,73,80,87,90,92,94,102,103,105,106,107,112,113,114,115,
116,117,118,119,120,121,122,123,125,126,127,128,129,130,131,132,134,135,136,
137,138,139,142,143,145,146,148,149,151,152,153,154,155,156,157,158,159,160,
161,163,164,165,168,169,170,171,172,173,175,177,178,179,180,182,184,185,187,
190,194,195,196,200,206,207,209,210,214,215,216,217,218,219,222,241,243,244,
266,271,272,274,276,278,280,281,282,283,284,285,287,288,289,290,291,293,296,
297,298,300,301,302,303,304,307,308,310,311,312,318,319,323,324,327,328,330,
331,335,337,338,340,341,353,355,358,362,364,366,367,370,371,374,377,380,382,
386,388,389,390,393,395,396,397,398,399,401,404,405,407,408,410,411,412,414,
415,417,418,420,421,423,425,426,427,429,434,444,451,452,461,473,487,488,496,
501,507,538,539,551,552,553,554,555,557,558,560,561,563,564,565,569,570,572,
578,585,587,589,592,598,599,604,606,607,609,610,612,614,618,619,620,621,622,
623,625,626,628,631,632,639,641,642,643,650,654,667,674,681,684,692,694,705,
709,720,722,726,727,729,742,743,746,751,755,756,760,796,797,807,808,810,811,
813,815,819,824,827,831,832,843,851,852,853,855,859,867,874,878,884,885,894,
927,934,939,950,958,971,979,991,997,998,1000,1006,1012,1040,1041,1042,1067,
1098,1107,1108,1112,1149],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,23,26,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,82,86,88,
96,98,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,143,
144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,161,162,164,165,
166,167,168,170,171,172,173,174,175,176,177,178,179,180,181,183,184,185,186,
187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,205,208,210,
212,214,215,216,218,220,221,224,225,226,227,228,229,230,231,232,233,234,235,
251,263,267,268,272,273,274,275,276,277,278,280,281,283,284,285,286,288,290,
291,292,294,295,296,299,300,301,302,303,304,305,306,307,308,309,311,312,313,
315,317,318,319,320,321,322,323,324,325,326,327,328,329,332,334,336,338,339,
342,345,346,347,348,350,351,353,354,356,357,358,360,361,362,363,364,365,367,
368,369,370,371,373,374,375,376,377,378,379,380,381,382,383,385,386,387,388,
391,393,394,395,396,397,398,399,400,402,403,405,408,409,411,412,417,419,421,
422,424,426,427,428,431,432,435,436,437,438,440,443,446,447,448,449,450,451,
452,453,454,455,456,458,459,460,462,464,468,469,470,474,475,476,477,478,485,
486,490,492,522,525,539,540,541,543,544,545,547,549,550,551,556,557,561,562,
563,566,568,570,573,574,576,577,578,582,583,584,585,586,587,589,591,592,593,
594,595,596,597,600,603,606,607,608,612,613,616,617,621,625,629,632,633,638,
640,642,643,644,648,651,653,655,658,661,663,665,668,670,672,673,674,675,676,
679,682,683,685,686,687,688,690,693,694,695,700,701,703,704,705,706,708,710,
711,712,713,714,715,719,720,721,723,725,727,728,731,732,734,735,748,749,752,
754,759,761,766,785,796,798,799,803,805,813,815,816,820,823,828,830,834,836,
838,845,848,850,853,858,860,863,864,865,867,872,873,885,887,892,895,900,901,
902,904,906,908,909,910,912,913,917,928,930,931,956,959,961,962,966,972,973,
978,988,991,992,999,1003,1010,1017,1021,1026,1027,1045,1053,1075,1076,1079,
1094,1106,1114,1115,1150],[1,2,4,5,7,11,12,13,15,17,19,23,26,28,30,39,40,41,
43,44,60,61,64,72,74,76,79,82,88,98,101,102,109,110,125,131,139,203,208,216,
220,224,225,233,235,239,251,263,268,275,278,294,334,347,358,411,438,447,449,
453,485,486,490,525,534,535,540,574,651,674,685,701,719,741,748,752,761,766,
790,792,910,921,928,961,1033,1053,1125,1151],[1,2,3,4,6,7,8,9,10,12,13,14,15,
17,18,19,20,21,22,24,25,28,30,32,33,34,36,39,40,42,43,50,60,61,62,64,65,67,68,
69,70,71,72,74,75,77,79,80,83,85,89,90,91,92,93,94,95,97,101,104,107,122,126,
129,130,131,132,133,139,146,147,154,161,171,175,203,208,216,220,226,227,228,
229,230,231,239,241,243,244,246,248,249,252,254,256,257,258,260,264,265,266,
273,275,294,301,326,347,348,357,358,376,377,408,411,443,450,455,462,489,495,
496,501,505,507,508,513,515,516,519,531,536,574,616,682,683,695,701,727,741,
745,747,760,767,770,771,778,780,791,913,921,937,942,951,975,1033,1049,1126,
1152],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,22,26,28,29,30,31,32,33,34,35,
36,37,38,39,41,42,44,45,47,48,50,51,52,54,55,56,57,58,59,60,62,65,66,67,68,69,
70,71,73,75,78,80,81,82,83,84,86,87,88,101,102,103,104,105,106,107,109,110,
111,112,113,114,115,116,121,122,124,125,126,127,128,129,130,131,132,133,134,
135,136,138,139,144,146,147,150,151,152,154,155,157,161,162,166,171,173,174,
175,180,183,184,185,188,189,190,193,201,202,210,212,214,218,226,230,232,234,
242,243,245,247,250,251,253,261,272,273,274,275,276,277,278,280,281,283,284,
285,286,288,290,291,292,295,300,301,302,303,304,305,306,308,309,312,317,318,
319,320,321,322,325,326,328,329,332,334,336,338,342,345,346,348,350,356,357,
360,362,365,368,369,371,376,377,380,381,383,385,398,400,403,408,412,424,426,
428,469,474,479,483,485,486,487,488,489,490,491,492,498,503,514,520,539,540,
541,543,544,547,549,550,557,562,563,566,568,570,573,578,582,585,586,587,591,
593,595,596,597,616,621,633,638,644,658,661,663,672,688,693,704,723,743,744,
749,751,752,753,754,756,759,796,799,820,828,865,872,918,919,927,928,929,930,
931,932,933,940,953,954,959,965,968,978,1041,1045,1099,1101,1104,1105,1106,
1153],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,30,31,
33,34,35,37,41,42,43,47,49,51,53,54,56,58,60,61,63,64,66,67,68,71,74,75,76,78,
80,81,82,83,86,87,88,89,90,91,92,93,94,95,96,97,98,102,103,105,112,117,120,
123,129,138,143,144,148,152,158,165,167,168,172,174,177,178,183,186,191,194,
195,197,198,199,202,203,204,206,207,208,210,213,217,222,225,226,233,236,237,
241,242,246,248,249,251,253,256,257,258,260,262,263,265,266,267,268,269,271,
274,279,284,287,296,298,299,337,339,349,351,361,386,388,401,402,406,416,417,
419,420,422,428,439,442,443,446,453,460,470,472,473,479,480,483,486,487,488,
491,492,499,502,503,504,506,511,512,515,522,523,524,525,531,539,555,558,579,
583,584,615,666,667,671,673,675,676,691,696,736,737,738,739,746,749,750,757,
761,764,768,769,773,776,777,779,781,783,785,797,802,838,856,857,866,871,919,
920,927,929,930,956,962,963,974,1025,1032,1040,1043,1044,1046,1050,1058,1076,
1099,1116,1121,1129,1130,1131,1154],[1,4,5,6,11,15,17,19,23,24,26,27,76,78,79,
81,85,86,87,88,96,98,236,239,240,259,262,267,268,269,481,483,535,536,739,792,
923,925,1038,1155],[1,2,4,6,7,11,12,13,15,17,22,24,27,28,30,39,40,41,43,44,60,
61,64,72,74,76,80,83,85,87,89,90,99,101,102,109,110,125,131,139,203,208,216,
220,224,225,233,235,240,243,249,252,254,259,260,269,275,278,294,334,347,358,
411,438,447,449,453,484,487,489,507,508,526,529,532,540,574,651,674,685,701,
719,745,756,764,771,789,910,922,925,932,948,951,952,957,958,1035,1062,1081,
1135,1156],[1,2,3,6,7,8,9,10,14,16,20,21,22,27,28,29,31,32,33,34,35,36,37,38,
42,45,47,48,49,50,52,53,56,57,59,63,66,80,83,84,92,93,99,101,103,104,105,106,
107,111,113,114,116,121,123,124,126,127,130,136,137,138,149,156,157,159,162,
172,173,174,177,180,184,185,196,198,207,211,213,217,219,223,240,241,242,243,
244,245,246,247,261,272,273,276,283,285,286,295,298,306,310,311,322,324,331,
340,344,349,352,355,359,364,372,378,384,390,412,413,416,423,425,430,484,488,
489,494,498,501,503,504,505,509,512,520,532,541,544,580,590,613,620,623,702,
717,724,729,742,743,744,746,747,751,755,763,773,789,889,922,939,940,941,946,
947,953,967,971,1035,1052,1068,1136,1157],[1,2,3,6,7,8,9,10,14,16,22,25,27,28,
29,31,32,33,34,35,36,37,38,42,45,46,47,50,52,57,59,80,83,84,91,94,99,101,104,
105,106,107,108,111,114,116,117,118,119,120,126,127,130,136,138,142,145,157,
160,163,169,173,180,184,185,240,242,243,245,247,248,255,257,261,271,273,282,
283,285,293,295,306,333,335,343,389,412,414,415,484,489,493,495,496,498,499,
503,506,510,517,520,528,532,533,544,546,572,575,744,772,776,780,782,788,789,
793,922,924,940,943,944,1035,1037,1054,1123,1158],[1,2,3,6,7,8,9,10,14,22,25,
27,28,32,33,34,36,42,48,50,56,66,80,83,91,94,99,101,103,104,107,113,121,124,
126,130,162,174,240,243,248,257,272,273,276,279,286,316,322,484,488,489,495,
496,532,538,541,542,743,751,757,780,789,794,922,935,950,953,1035,1065,1082,
1124,1134,1159],[1,2,4,6,7,11,12,13,15,17,22,24,27,28,30,39,40,41,43,44,60,61,
64,72,74,76,80,81,83,85,89,90,99,101,102,109,110,125,131,139,203,208,216,220,
224,225,233,235,240,243,249,250,252,253,254,259,260,262,275,278,294,334,347,
358,411,438,447,449,453,484,489,491,507,508,514,518,521,523,524,526,529,532,
540,574,651,674,685,701,719,745,771,783,786,789,910,922,923,933,948,951,952,
1034,1035,1036,1062,1077,1160],[1,2,4,5,6,7,11,12,13,19,22,23,26,28,30,39,41,
44,60,78,79,80,81,82,83,86,87,88,100,101,102,109,110,125,131,139,238,243,250,
251,253,263,270,275,278,334,479,483,485,486,487,489,490,491,492,514,534,535,
540,741,748,752,756,918,919,921,926,928,931,932,933,977,1030,1083,1101,1125,
1161],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,28,29,30,31,
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,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,83,84,85,89,90,
91,92,93,94,95,97,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
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,
230,231,232,233,234,235,241,242,243,244,245,246,247,248,249,252,254,255,256,
257,258,259,260,261,264,265,266,271,272,273,274,275,276,277,278,279,280,281,
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,
472,473,474,475,476,477,478,488,489,493,494,495,496,497,498,499,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,515,516,517,519,520,526,527,528,
529,530,531,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,
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,
725,726,727,728,729,730,731,732,733,734,735,742,743,744,745,746,747,750,751,
755,757,758,760,762,763,765,767,768,769,770,771,772,773,774,775,776,777,778,
779,780,781,782,784,787,793,794,795,796,797,798,799,800,801,802,803,804,805,
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,
901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,934,935,
936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,955,
960,963,967,970,971,974,975,976,978,979,980,981,982,983,984,985,986,987,988,
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,
1021,1022,1023,1024,1025,1026,1027,1028,1047,1048,1049,1051,1052,1054,1055,
1056,1057,1059,1060,1061,1062,1064,1065,1066,1067,1068,1069,1070,1072,1078,
1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1109,1118,1120,1122,1128,1142,1144,1146,1162],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,20,21,22,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
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,
71,72,73,74,75,76,77,80,81,83,84,89,90,91,92,93,94,95,97,101,102,103,104,105,
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,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,241,242,243,
244,245,246,247,248,249,250,253,255,256,257,258,260,261,262,265,266,271,272,
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,
463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,489,491,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,517,518,520,521,523,524,528,531,538,539,540,541,542,543,544,545,
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,
744,747,753,758,760,762,763,765,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,781,782,783,786,793,794,795,796,797,798,799,800,801,802,803,804,
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,
900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,929,
933,936,940,941,943,944,947,954,955,964,965,968,969,974,975,976,978,979,980,
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,
1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1043,
1050,1052,1054,1057,1058,1059,1063,1066,1069,1071,1072,1073,1074,1077,1080,
1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1105,1118,1119,1121,1128,1137,1139,1147,1163],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,20,21,22,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
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,
71,72,73,74,75,76,77,80,83,87,89,90,91,92,93,94,95,97,101,102,103,104,105,106,
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,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,241,243,244,246,
248,249,256,257,258,260,265,266,269,271,272,273,274,275,276,277,278,279,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
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,
471,472,473,474,475,476,477,478,487,488,489,495,496,501,505,507,508,513,515,
531,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,
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,
727,728,729,730,731,732,733,734,735,742,743,746,747,750,751,755,756,757,760,
764,767,770,771,778,780,793,794,795,796,797,798,799,800,801,802,803,804,805,
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,
901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,927,932,
934,935,939,946,949,950,953,957,958,960,963,967,971,975,978,979,980,981,982,
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,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1040,1041,1042,
1044,1046,1051,1060,1064,1065,1067,1068,1070,1081,1084,1085,1086,1087,1088,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1104,1107,1108,1110,1111,
1112,1113,1116,1117,1120,1128,1138,1140,1141,1143,1145,1148,1149,1164],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,24,26,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,86,87,88,89,90,96,
98,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,143,
144,146,147,148,149,150,151,152,153,154,155,156,157,158,159,161,162,164,165,
166,167,168,170,171,172,173,174,175,176,177,178,179,180,181,183,184,185,186,
187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,205,208,210,
212,214,215,216,218,220,221,224,225,226,227,228,229,230,231,232,233,234,235,
236,242,243,245,247,249,250,251,253,260,261,262,263,267,268,269,272,273,274,
275,276,277,278,280,281,283,284,285,286,288,290,291,292,294,295,296,299,300,
301,302,303,304,305,306,307,308,309,311,312,313,315,317,318,319,320,321,322,
323,324,325,326,327,328,329,332,334,336,338,339,342,345,346,347,348,350,351,
353,354,356,357,358,360,361,362,363,364,365,367,368,369,370,371,373,374,375,
376,377,378,379,380,381,382,383,385,386,387,388,391,393,394,395,396,397,398,
399,400,402,403,405,408,409,411,412,417,419,421,422,424,426,427,428,431,432,
435,436,437,438,440,443,446,447,448,449,450,451,452,453,454,455,456,458,459,
460,462,464,468,469,470,474,475,476,477,478,479,483,485,486,487,488,489,490,
491,492,497,498,500,502,503,507,508,511,514,518,520,521,522,523,524,525,539,
540,541,543,544,545,547,549,550,551,556,557,561,562,563,566,568,570,573,574,
576,577,578,582,583,584,585,586,587,589,591,592,593,594,595,596,597,600,603,
606,607,608,612,613,616,617,621,625,629,632,633,638,640,642,643,644,648,651,
653,655,658,661,663,665,668,670,672,673,674,675,676,679,682,683,685,686,687,
688,690,693,694,695,700,701,703,704,705,706,708,710,711,712,713,714,715,719,
720,721,723,725,727,728,731,732,734,735,738,739,743,744,748,749,750,751,752,
753,754,756,759,761,764,766,768,771,775,783,785,786,796,798,799,803,805,813,
815,816,820,823,828,830,834,836,838,845,848,850,853,858,860,863,864,865,867,
872,873,885,887,892,895,900,901,902,904,906,908,909,910,912,913,917,918,919,
927,928,929,930,931,932,933,934,936,940,949,953,954,955,956,957,958,959,961,
962,964,965,966,968,969,972,973,978,988,991,992,999,1003,1010,1017,1021,1026,
1027,1029,1032,1041,1044,1045,1053,1058,1063,1064,1069,1074,1075,1076,1077,
1079,1081,1094,1099,1101,1104,1105,1106,1107,1111,1114,1115,1131,1133,1139,
1145,1150,1153,1165],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,22,25,26,
28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,78,80,81,82,83,84,86,87,88,91,
92,93,94,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,166,168,169,170,171,172,173,174,175,177,178,180,
181,182,183,184,185,188,189,190,193,194,196,198,200,201,202,204,206,207,209,
210,211,212,213,214,217,218,219,222,223,226,230,232,234,237,241,242,243,244,
245,246,247,248,250,251,253,255,257,261,271,272,273,274,275,276,277,278,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,295,296,297,298,300,301,
302,303,304,305,306,307,308,309,310,311,312,314,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,338,340,342,343,344,345,
346,348,349,350,352,355,356,357,359,360,361,362,364,365,366,367,368,369,370,
371,372,376,377,378,379,380,381,383,384,385,389,390,394,395,396,397,398,399,
400,403,407,408,412,413,414,415,416,417,418,420,421,423,424,425,426,427,428,
429,430,433,434,439,440,441,442,444,445,457,461,463,465,466,467,469,471,472,
473,474,479,483,485,486,487,488,489,490,491,492,493,495,496,498,499,501,503,
505,506,510,514,517,520,528,539,540,541,543,544,546,547,549,550,552,553,554,
555,557,558,559,560,562,563,566,567,568,569,570,571,572,573,575,578,580,581,
582,585,586,587,590,591,592,593,595,596,597,598,599,601,602,604,605,606,609,
610,611,613,614,616,618,619,620,621,622,623,624,627,631,633,634,638,640,641,
642,644,645,646,655,658,660,661,662,663,669,672,678,681,688,692,693,694,696,
697,702,704,707,709,714,717,718,721,722,723,724,726,729,730,733,736,737,742,
743,744,746,747,749,751,752,753,754,755,756,759,772,776,780,782,793,795,796,
797,799,801,804,808,811,812,814,817,819,820,821,822,825,826,827,828,831,832,
837,839,840,842,844,852,855,858,861,865,872,877,880,881,882,884,889,890,893,
894,898,903,905,918,919,927,928,929,930,931,932,933,939,940,943,944,946,953,
954,959,965,967,968,971,978,983,984,989,994,1005,1006,1014,1024,1031,1040,
1041,1042,1045,1050,1054,1068,1073,1080,1084,1099,1101,1104,1105,1106,1110,
1112,1130,1138,1147,1153,1166],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,
22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,73,75,78,80,81,82,83,84,86,87,
88,91,92,93,94,101,102,103,104,105,106,107,109,110,111,112,113,114,115,116,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
144,146,147,149,150,151,152,154,155,156,157,159,161,162,166,171,172,173,174,
175,177,180,183,184,185,186,188,189,190,191,193,196,197,198,201,202,205,207,
210,211,212,213,214,217,218,219,223,226,230,232,234,237,241,242,243,244,245,
246,247,248,250,251,253,257,261,272,273,274,275,276,277,278,279,280,281,283,
284,285,286,288,290,291,292,295,298,300,301,302,303,304,305,306,308,309,310,
311,312,316,317,318,319,320,321,322,324,325,326,328,329,331,332,334,336,337,
338,340,341,342,344,345,346,348,349,350,352,355,356,357,359,360,362,364,365,
368,369,371,372,373,376,377,378,380,381,382,383,384,385,388,390,391,392,398,
400,402,403,406,408,410,412,413,416,419,423,424,425,426,428,430,435,448,469,
474,479,483,485,486,487,488,489,490,491,492,494,495,496,498,501,503,504,505,
509,512,514,520,538,539,540,541,542,543,544,547,549,550,557,562,563,564,565,
566,568,570,573,578,579,580,582,585,586,587,588,590,591,593,594,595,596,597,
607,612,613,615,616,617,620,621,623,626,628,630,633,635,636,637,638,644,647,
658,661,663,664,671,672,677,680,688,689,693,699,702,704,716,717,723,724,729,
736,737,743,744,747,749,751,752,753,754,756,757,759,763,773,780,794,796,799,
802,806,807,809,810,818,820,824,828,829,833,849,862,863,865,872,876,888,889,
899,916,918,919,927,928,929,930,931,932,933,935,940,941,947,950,953,954,959,
965,968,978,979,980,990,993,1008,1011,1031,1041,1043,1045,1046,1052,1065,1071,
1086,1099,1101,1104,1105,1106,1108,1113,1129,1137,1140,1153,1167],[1,2,4,5,6,
7,11,12,13,15,17,19,22,23,24,28,30,39,40,41,43,44,60,61,64,72,74,76,78,79,80,
82,83,85,88,89,90,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,
236,243,249,252,254,259,260,263,268,275,278,294,334,347,358,411,438,447,449,
453,479,481,485,486,489,490,507,508,526,529,534,535,536,540,574,651,674,685,
701,719,738,741,745,748,761,766,771,910,918,921,928,948,951,952,1029,1038,
1053,1062,1102,1125,1126,1168],[1,2,4,5,6,7,11,12,13,15,17,19,22,23,24,26,28,
30,39,40,41,43,44,60,61,64,72,74,76,78,79,80,81,82,83,86,87,88,89,90,96,98,
100,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,236,238,239,
243,249,250,251,253,260,262,263,267,268,269,270,275,278,294,334,347,358,411,
438,447,449,453,479,482,483,485,486,487,489,490,491,492,507,508,514,518,521,
522,523,524,525,534,535,537,540,574,651,674,685,701,719,738,739,741,748,752,
756,761,764,766,771,783,785,786,790,792,910,918,919,921,926,928,931,932,933,
957,958,961,966,977,1029,1030,1032,1033,1039,1053,1077,1079,1081,1083,1100,
1101,1125,1127,1133,1151,1161,1169],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
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,
71,72,73,74,75,76,77,78,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,
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,
234,235,236,237,241,242,243,244,245,246,247,248,249,250,251,253,255,256,257,
258,260,261,262,263,265,266,267,268,269,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
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,
470,471,472,473,474,475,476,477,478,479,480,483,485,486,487,488,489,490,491,
492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,514,515,517,518,520,521,522,523,524,525,528,531,538,539,540,541,
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,
732,733,734,735,736,737,738,739,742,743,744,746,747,748,749,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,
773,774,775,776,777,778,779,780,781,782,783,785,786,793,794,795,796,797,798,
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,
913,914,915,916,917,918,919,920,927,928,929,930,931,932,933,934,935,936,939,
940,941,943,944,946,947,949,950,953,954,955,956,957,958,959,960,961,962,963,
964,965,966,967,968,969,971,972,973,974,975,976,978,979,980,981,982,983,984,
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,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1031,1032,1040,
1041,1042,1043,1044,1045,1046,1050,1051,1052,1053,1054,1057,1058,1059,1060,
1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,
1079,1080,1081,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1101,1103,1104,1105,1106,1107,1108,1110,1111,1112,1113,
1114,1115,1116,1117,1118,1119,1120,1121,1128,1129,1130,1131,1133,1137,1138,
1139,1140,1141,1143,1145,1147,1148,1149,1150,1153,1154,1163,1164,1165,1166,
1167,1170],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,24,27,28,29,30,
32,33,35,36,37,39,40,41,43,45,47,50,51,52,53,54,55,57,58,60,61,63,64,66,68,69,
70,71,73,74,76,77,80,84,85,87,89,93,94,102,103,105,107,112,113,115,116,118,
119,120,121,122,125,127,129,130,134,135,136,137,139,140,141,142,146,149,151,
152,155,158,159,161,163,167,169,170,171,172,173,175,176,180,181,185,190,192,
194,198,199,200,203,204,208,209,210,211,213,214,218,220,221,222,223,225,229,
231,233,240,242,243,244,245,247,249,252,254,259,264,265,269,272,274,276,278,
281,282,283,284,288,289,290,291,294,295,299,301,302,303,304,307,308,311,313,
314,315,318,328,330,331,333,338,339,344,347,361,362,363,366,371,375,378,379,
380,382,388,394,396,397,398,399,408,410,413,414,422,423,425,426,433,436,439,
440,441,443,447,453,454,455,471,476,487,488,493,494,496,497,499,502,505,508,
512,517,519,526,527,530,532,538,539,545,546,548,552,554,556,557,559,563,564,
567,571,577,578,581,583,584,585,587,600,601,602,603,605,607,608,609,611,618,
621,623,624,626,627,628,629,634,640,655,673,676,682,687,690,710,715,718,719,
722,724,742,743,744,745,750,751,755,756,764,770,774,777,784,796,804,807,810,
812,823,827,830,837,838,842,844,845,848,873,879,881,882,891,897,912,914,922,
925,927,938,941,942,943,946,948,949,950,955,957,967,970,979,981,982,983,987,
1003,1004,1041,1042,1044,1055,1070,1072,1082,1092,1108,1109,1110,1111,1134,
1135,1136,1142,1148,1171],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,
22,23,24,25,26,28,30,32,33,34,36,39,40,41,42,43,44,50,51,54,55,58,60,61,62,64,
65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,85,88,89,90,91,92,93,94,95,
97,98,101,102,104,107,109,110,112,115,122,125,126,128,129,130,131,132,133,134,
135,139,140,141,146,147,150,151,152,154,155,161,167,171,175,176,187,190,192,
193,199,203,208,212,215,216,218,220,221,224,225,226,227,228,229,230,231,233,
235,236,237,238,239,241,243,244,246,248,249,251,252,254,256,257,258,259,260,
263,264,265,266,268,273,274,275,277,278,280,291,292,294,301,302,305,308,315,
317,326,328,329,332,334,336,338,339,346,347,348,350,353,357,358,360,362,363,
369,371,375,376,377,385,400,405,408,411,422,431,432,436,438,443,447,449,450,
453,454,455,462,476,477,479,480,481,482,485,486,489,490,495,496,501,505,507,
508,513,515,516,519,525,526,527,529,530,531,534,535,536,540,545,551,573,574,
576,587,591,596,616,625,629,644,651,661,668,670,674,676,682,683,685,687,688,
690,695,700,701,710,712,713,719,727,736,737,738,740,741,745,747,748,749,752,
754,759,760,761,766,767,770,771,778,780,784,787,790,791,792,798,799,845,860,
864,885,900,909,910,913,917,918,920,921,928,937,938,942,945,948,951,952,956,
961,972,975,1017,1029,1030,1031,1033,1038,1045,1047,1048,1049,1053,1055,1056,
1061,1062,1100,1102,1103,1114,1122,1125,1126,1132,1151,1152,1168,1172],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,27,28,29,30,31,32,33,34,
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,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,83,84,85,87,89,90,91,92,
93,94,95,97,99,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
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,
230,231,232,233,234,235,240,241,242,243,244,245,246,247,248,249,252,254,255,
256,257,258,259,260,261,264,265,266,269,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
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,
470,471,472,473,474,475,476,477,478,484,487,488,489,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,515,516,517,519,
520,526,527,528,529,530,531,532,538,539,540,541,542,543,544,545,546,547,548,
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,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,742,743,744,
745,746,747,750,751,755,756,757,758,760,762,763,764,765,767,768,769,770,771,
772,773,774,775,776,777,778,779,780,781,782,784,787,789,793,794,795,796,797,
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,
912,913,914,915,916,917,922,925,927,932,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,948,949,950,951,952,953,955,957,958,960,963,967,970,971,
974,975,976,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,
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,
1025,1026,1027,1028,1035,1040,1041,1042,1044,1046,1047,1048,1049,1051,1052,
1054,1055,1056,1057,1059,1060,1061,1062,1064,1065,1066,1067,1068,1069,1070,
1072,1078,1081,1082,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,
1095,1096,1097,1098,1104,1107,1108,1109,1110,1111,1112,1113,1116,1117,1118,
1120,1122,1124,1128,1134,1135,1136,1138,1140,1141,1142,1143,1144,1145,1146,
1148,1149,1156,1157,1159,1162,1164,1171,1173],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,76,77,80,81,83,84,85,89,90,91,92,93,94,95,97,99,101,102,103,
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,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,240,
241,242,243,244,245,246,247,248,249,250,252,253,254,255,256,257,258,259,260,
261,262,264,265,266,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
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,
475,476,477,478,484,488,489,491,493,494,495,496,497,498,499,500,501,502,503,
504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,523,
524,526,527,528,529,530,531,532,533,538,539,540,541,542,543,544,545,546,547,
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,
719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,742,743,
744,745,746,747,750,751,753,755,757,758,760,762,763,765,767,768,769,770,771,
772,773,774,775,776,777,778,779,780,781,782,783,784,786,787,788,789,793,794,
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,
909,910,911,912,913,914,915,916,917,922,923,924,929,933,934,935,936,937,938,
939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,960,963,
964,965,967,968,969,970,971,974,975,976,978,979,980,981,982,983,984,985,986,
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,
1020,1021,1022,1023,1024,1025,1026,1027,1028,1034,1035,1036,1037,1043,1047,
1048,1049,1050,1051,1052,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1077,1078,1080,1084,
1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1105,
1109,1118,1119,1120,1121,1122,1123,1128,1136,1137,1139,1142,1144,1146,1147,
1157,1158,1160,1162,1163,1174],[1,2,4,5,6,7,11,12,13,15,17,19,22,23,24,26,27,
28,30,39,40,41,43,44,60,61,64,72,74,76,78,79,80,81,82,83,85,86,87,88,89,90,96,
98,99,101,102,109,110,125,131,139,203,208,216,220,224,225,233,235,236,239,240,
243,249,250,251,252,253,254,259,260,262,263,267,268,269,275,278,294,334,347,
358,411,438,447,449,453,479,481,483,484,485,486,487,489,490,491,492,507,508,
514,518,521,522,523,524,525,526,529,532,534,535,536,540,574,651,674,685,701,
719,738,739,741,745,748,752,756,761,764,766,771,783,785,786,789,790,792,910,
918,919,921,922,923,925,928,931,932,933,948,951,952,957,958,961,966,1029,1032,
1033,1034,1035,1036,1038,1053,1062,1077,1079,1081,1101,1102,1125,1126,1133,
1135,1151,1155,1156,1160,1168,1175],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1],[
1,1,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,3,1],[1,1,1],[1,2,1,1],[1,1],[1,3,1,1],[
1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,
1,3,1],[1,3,4,1,6,1],[1,1,2,1,1],[1,3,1,1,1,1],[1,3,1,2,1],[1,3,2,1,1,1,1],[1,
1,3,1],[1,3,4,1,2,4,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,3,1,2,1],[1,1,3,1],[1,1,
6,4,3,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,7,7,1],[1,1,2,
1,1,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,
1],[1,1,1,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,
2,1],[1,1,6,3,4,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,1,1],[1,
1,2,2,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
4,2,1,2,4,1],[1,1,2,2,1,1,1,1],[1,1,4,2,1,1,1,4,1],[1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,1,2,1],[1,1,4,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,5,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,
2,1,1,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,4,3,1,3,1,
1,1,1],[1,1,1,3,1,1],[1,4,3,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,1,1,1],[1,1,1,1],[
1,15,35,15,1],[1,3,12,1,16,18,3,12,1],[1,3,1,6,3,1],[1,7,8,7,4,24,1,6,8,1],[1,
3,1,6,3,4,1],[1,3,1,3,3,1,3,3,1],[1,7,7,1,3,1,3,3,1],[1,1,14,7,28,7,8,1],[1,3,
1,6,3,4,1],[1,3,1,6,3,1],[1,3,12,1,6,12,16,3,4,8,1],[1,3,8,1,2,12,2,1,4,1],[1,
3,1,2,4,2,1,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,3,1,2,4,1,2,4,1],[1,3,8,1,2,4,8,
1,2,4,1],[1,1,2,3,3,1,3,1,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,2,6,1,1,3,3,1],[1,1,
6,1,3,3,1,3,3,1],[1,3,8,1,2,4,8,1,2,4,1],[1,3,8,4,1,4,6,8,16,1,2,4,8,1],[1,3,
1,2,1,2,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,3,4,1,4,6,1,2,1],[1,7,4,7,1,1,2,4,1,
1,2,1,2,1],[1,3,4,1,1,3,2,4,1,1,1,2,2,1],[1,3,1,1,1,4,1,2,1],[1,3,4,1,4,6,1,2,
1],[1,7,4,7,2,2,4,1,1,1,4,1],[1,7,7,4,1,2,1],[1,3,1,2,2,2,2,1,1],[1,3,8,1,4,2,
8,2,1,4,1],[1,3,4,1,1,1,2,6,1,1,1,2,2,1],[1,3,1,2,4,1,2,1],[1,3,4,1,4,2,1,1,1,
2,2,1],[1,3,1,2,1,2,1],[1,3,4,1,2,2,2,1,1,2,1,2,1],[1,7,4,7,2,6,1,1,1,4,1],[1,
1,6,1,3,3,1,3,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,4,1,2,
2,1,1,1,1],[1,1,4,2,2,1,1,1,2,1,1,1,2,2,1],[1,1,6,2,2,3,1,2,2,1,1,1],[1,3,4,4,
1,1,1,2,6,4,1,1,1,2,2,1],[1,3,8,1,4,2,8,2,1,4,1],[1,1,2,1,2,1,1,1,1],[1,3,1,1,
1,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,3,4,1,2,2,2,1,
2,1,1,2,1],[1,1,4,1,2,2,1,1,1,1],[1,3,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,3,4,4,1,2,
2,6,4,1,1,1,4,1],[1,3,1,1,1,1,1,1,1],[1,3,4,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,
1,2,2,1,1,1,1],[1,3,1,2,1,2,1],[1,1,10,1,1,5,8,1,2,2,1,1,1],[1,3,4,1,2,2,2,4,
1,1,1,1],[1,3,8,1,1,1,12,1,2,2,2,1],[1,1,6,4,3,1,1,3,2,1],[1,1,3,2,1,1,1,1],[
1,1,2,1,1,1,2,1,1],[1,1,4,2,3,1,1,2,1,1,1,2,2,1],[1,1,10,1,1,5,8,2,1,2,2,1],[
1,1,4,4,1,2,2,1,1,1,1],[1,1,10,2,5,8,1,2,1,3,1],[1,1,4,3,2,1,1,1,1],[1,3,1,1,
3,2,1,1,1,1],[1,3,1,2,1,2,1],[1,3,4,1,4,2,1,1,2,2,1,1],[1,3,8,1,2,12,1,2,2,2,
1],[1,3,4,1,2,2,2,4,1,1,1,1],[1,1,2,1,5,1,2,1,2,2,1],[1,3,1,2,1,1,1,1],[1,1,4,
2,1,2,1,1,1,1],[1,1,2,1,1,1,1,2,1],[1,3,4,1,1,3,2,1,1,2,2,1,1],[1,1,4,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1,1],[1,1,6,1,1,1,2,2,1,1,1,2,2,1],[1,3,8,1,1,1,4,4,4,1,
1,1,1,1,1,1,1],[1,3,8,1,2,4,4,4,1,1,1,2,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,
1,1,1,1,2,1],[1,1,6,2,1,2,2,1,1,2,1,2,1],[1,1,8,2,1,2,1,1,2,8,1,1,1,2,2,1],[1,
1,4,6,1,4,1,3,2,4,1,1,2,1,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,4,1,2,1],[1,
1,4,2,1,3,1,2,1,1,2,1,2,1],[1,1,4,3,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,
2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,6,1,3,3,1,1,1,2,
2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,8,2,1,2,
1,1,2,8,1,1,1,2,2,1],[1,3,4,1,6,4,1,2,1],[1,1,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,
1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,3,8,1,2,8,4,1,1,2,2,1,1],[1,1,
2,2,1,1,1,1,1],[1,1,6,4,1,1,1,2,2,8,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,
1,3,1,2,1,1,1,2,2,1],[1,1,8,1,2,2,1,1,1,1],[1,1,6,4,2,1,2,2,8,1,1,1,2,2,1],[1,
1,2,1,1,1,1,2,1],[1,3,1,2,1,2,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,6,1,4,1,3,2,4,1,
1,1,2,2,1],[1,1,8,1,2,2,1,1,1,1],[1,3,4,1,4,2,1,1,2,1,2,1],[1,1,2,1,1,1,4,1,2,
1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,10,4,
5,4,2,1,1,1,4,1],[1,3,6,2,1,1,1,1,1,6,4,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,2,1,2,2,4,1,1,1,1],[1,3,6,2,1,1,1,1,1,6,4,1,1,
1,1,1,1,1,1],[1,1,4,6,3,2,4,2,4,1,1,1,4,1],[1,1,8,2,1,1,1,4,4,4,1,1,1,1,1,1,1,
1],[1,1,6,4,2,3,2,1,1,1,1],[1,1,8,2,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,5,1,1,1,
1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,5,5,1,1,1],[1,7,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,7,4,7,4,1,1,1],[1,3,6,4,1,3,3,4,
3,1,1],[1,1,4,3,4,1,1],[1,3,12,1,1,18,1,3,3,3,1,3,3,1],[1,1,6,4,3,4,4,1,1,1],[
1,3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,3,4,4,1,6,4,1,
1,1],[1,1,4,3,4,1,1],[1,1,6,4,4,3,4,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,7,4,7,4,1,
1,1],[1,1,8,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,8,6,1,
1,3,3,12,1,1,1,2,2,3,1,1,1,2,2,1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,
1,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,6,3,4,1,3,3,4,3,1,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,
3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,
1,1],[1,5,1,1,5,1,1,1],[1,3,8,1,4,6,4,6,3,4,4,6,12,1,4,4,6,1],[1,7,7,3,9,1,9,
9,1,3,3,1],[1,15,8,35,1,3,4,24,15,3,3,4,6,8,12,1,1,1,6,6,1],[1,3,16,1,6,16,24,
4,3,12,12,1,3,3,1],[1,15,4,35,6,6,15,1,3,12,1,3,3,1],[1,7,12,7,6,6,12,1,3,3,
12,12,1,3,3,1],[1,3,4,1,3,3,6,6,1,3,3,6,6,1,3,3,1],[1,7,12,7,16,6,18,1,3,3,12,
12,1,3,3,1],[1,3,16,1,6,24,3,4,12,12,1,6,1],[1,7,7,1,3,8,1,3,3,4,1,2,2,2,1],[
1,3,1,2,8,4,2,3,4,2,4,1,1,1,4,1],[1,3,8,1,10,4,2,3,8,2,4,12,4,1,4,2,4,4,1],[1,
7,8,7,1,7,4,8,1,3,5,4,2,4,8,4,4,1,1,1,2,2,4,4,1],[1,3,8,1,10,12,2,5,4,4,1,1,1,
4,1],[1,7,8,7,3,5,4,8,1,1,3,5,3,4,2,2,2,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,16,7,1,
3,8,48,1,3,3,12,16,4,4,8,2,1,2,2,4,4,1],[1,3,1,6,3,4,4,1,2,1],[1,3,8,8,1,2,4,
4,12,8,2,2,1,2,4,4,8,8,1,1,1,4,1],[1,3,1,6,3,4,4,1,2,1],[1,3,8,1,6,4,4,8,3,2,
2,4,4,1,1,1,4,1],[1,7,8,7,1,3,4,12,1,2,3,3,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,
12,4,1,6,6,6,12,1,3,3,12,12,1,3,3,1],[1,3,8,1,4,6,4,1,6,3,1,3,3,9,3,3,3,1,3,1,
1,3,3,3,1],[1,7,12,7,6,18,8,1,3,3,2,2,12,6,6,3,6,6,1],[1,7,12,7,6,6,12,8,1,1,
3,1,3,3,2,12,6,3,3,3,3,6,1],[1,3,4,8,1,2,2,2,12,2,1,1,2,1,2,2,4,1,1,1,2,2,1],[
1,3,8,1,2,4,8,1,2,2,2,4,1,1,1,1],[1,3,4,1,2,6,2,1,3,2,1,2,2,1,1,1,1],[1,3,8,1,
2,12,2,1,4,4,1,2,1],[1,3,4,1,3,5,2,4,4,3,1,1,2,2,2,4,4,1,1,2,1,2,1],[1,7,8,4,
7,4,4,2,6,8,16,1,1,2,2,1,8,4,4,8,1,1,2,1,2,1],[1,3,8,12,1,1,1,4,16,2,18,8,16,
3,1,2,1,12,2,2,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,3,12,8,1,1,3,6,12,12,32,2,1,1,3,
2,2,4,4,4,8,4,16,1,1,2,1,2,4,4,1],[1,3,8,1,6,4,4,8,3,4,2,2,4,1,1,1,2,2,1],[1,
7,8,4,7,4,6,6,24,1,1,6,3,8,4,8,1,1,1,2,2,1],[1,7,16,7,1,3,8,32,16,1,1,1,2,8,2,
2,8,4,2,6,2,4,8,1,1,1,1,1,1,1,4,4,1],[1,3,4,8,1,4,2,12,1,2,1,1,2,2,2,4,1,1,1,
2,2,1],[1,3,8,8,1,2,4,4,12,8,16,2,1,2,2,4,4,8,8,1,1,1,2,2,1],[1,3,12,1,1,3,6,
4,12,1,1,3,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,4,1,2,6,2,1,2,1,1,2,2,2,1,1,
1,1],[1,7,7,1,3,1,3,3,4,1,2,2,2,1],[1,3,8,1,2,4,4,4,8,2,1,2,2,2,2,4,4,1,1,1,2,
2,1],[1,3,1,2,4,1,2,4,4,1,2,1],[1,3,8,1,2,4,8,1,2,4,4,1,2,1],[1,3,8,1,2,8,4,1,
2,4,4,6,2,4,4,8,1,2,4,4,4,1],[1,3,16,1,2,4,24,2,1,4,8,4,12,1,4,2,1],[1,3,1,2,
4,8,2,1,4,4,4,1,1,2,1,2,1],[1,3,4,1,1,7,2,4,4,1,3,1,2,2,2,1,1,1,2,2,1],[1,3,1,
4,6,4,1,3,4,1,2,1,1,1,2,2,1],[1,3,16,4,1,1,1,8,2,6,16,32,1,1,4,2,2,1,2,2,2,2,
8,16,8,1,2,1,1,2,4,4,1],[1,3,8,4,1,3,3,4,2,6,8,1,1,3,3,2,1,2,2,2,2,4,4,4,4,1,
1,1,2,2,2,2,4,1],[1,7,12,7,2,4,6,12,1,2,1,4,3,4,8,4,4,1,1,2,2,1,1],[1,3,4,1,2,
2,2,4,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,7,7,1,3,1,3,3,2,2,1,1,1,2,2,1],[1,3,16,
1,2,8,4,16,1,4,2,4,8,4,8,1,1,2,1,2,1],[1,7,8,4,7,2,2,4,2,6,8,1,1,2,4,2,1,4,4,
4,4,4,2,1,1,1,2,1],[1,3,4,1,4,2,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,7,4,8,7,2,2,
4,12,4,1,2,1,1,2,4,4,8,8,1,1,1,2,2,1],[1,7,4,7,2,2,8,4,1,1,1,4,4,4,1,1,2,1,2,
1],[1,3,1,6,3,4,4,1,2,1],[1,3,4,1,8,2,1,3,1,2,2,2,1,1,1,1],[1,3,8,4,1,1,1,4,6,
6,8,1,1,2,3,4,2,2,4,4,4,8,1,1,1,2,2,4,4,1],[1,3,16,1,6,8,8,16,1,2,2,4,4,4,8,
10,1,4,4,2,4,1],[1,7,4,7,10,6,1,1,5,4,4,1,1,2,2,1,1],[1,3,16,1,2,4,8,8,16,1,1,
1,2,2,2,4,4,6,2,2,8,1,2,1,1,2,2,2,4,1],[1,3,8,1,2,4,8,8,1,2,4,4,4,1,1,1,2,2,
1],[1,3,1,6,3,2,2,1,2,1],[1,3,4,1,1,5,6,6,1,1,2,3,2,2,1,1,1,2,2,1],[1,3,16,1,
2,4,16,16,2,1,4,4,2,6,4,8,4,1,2,4,4,4,1],[1,3,4,1,4,4,2,1,2,1,2,1,2,2,1,1,1,
1],[1,3,1,2,4,2,1,2,2,1,2,1],[1,1,12,6,3,4,3,3,6,8,12,1,1,1,3,3,2,6,3,3,6,6,3,
3,3,6,1],[1,3,20,1,1,3,10,12,40,1,3,3,3,10,8,3,3,3,6,8,1,1,1,3,3,3,3,1],[1,3,
12,1,4,6,8,1,1,2,2,2,2,1,4,1,1,1,2,2,1],[1,3,12,4,1,2,2,6,2,6,12,1,2,3,2,2,1,
2,2,4,4,4,4,1,1,1,2,1,1,1],[1,3,8,4,1,1,1,4,6,6,8,1,1,2,3,2,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,7,4,7,2,6,8,1,1,1,4,4,1,2,1],[1,7,12,4,7,1,1,6,2,6,28,16,1,1,1,2,
7,1,8,2,4,2,2,2,4,2,8,4,1,1,1,1,1,1,1,4,4,1],[1,3,8,1,6,12,3,4,2,1,1,2,2,1,1,
1,2,2,1],[1,3,12,4,1,6,6,6,12,16,1,3,3,4,4,8,4,4,1,1,1,1,2,1,1],[1,1,4,10,2,1,
1,5,2,8,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,12,1,4,2,12,1,1,1,2,2,2,2,2,2,1,1,
1,2,2,1],[1,3,1,2,4,1,2,4,4,1,2,1],[1,1,4,10,3,1,5,2,8,1,2,1,2,1,2,2,2,2,1,1,
2,1,2,1],[1,3,12,1,2,2,6,8,1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,3,12,1,1,3,6,4,12,
1,1,3,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,12,7,2,6,4,28,1,1,7,2,8,4,4,4,1,1,1,
1,1,1,1,1],[1,7,4,7,2,6,1,1,1,4,4,1,2,1],[1,3,16,1,1,1,4,20,1,2,2,2,2,2,2,2,1,
1,1,2,2,1],[1,7,4,4,7,1,1,2,6,6,4,1,1,1,2,1,3,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,
4,1,6,2,2,3,4,2,1,1,2,2,1,1,1,2,2,1],[1,3,4,8,1,1,3,2,4,12,4,2,1,1,1,2,2,2,4,
2,2,4,1,1,1,1,1,1,1,1],[1,3,4,1,1,1,2,6,8,1,1,1,2,2,4,1,2,2,2,1],[1,7,4,7,2,2,
4,1,1,1,2,4,2,1,1,1,1],[1,3,12,1,1,3,6,4,12,1,1,3,2,2,2,4,2,2,4,1,1,1,1,1,1,1,
1],[1,3,4,1,1,3,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,8,4,1,1,1,4,2,2,8,1,2,2,2,
1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,16,4,1,1,1,8,2,6,16,16,16,1,1,4,1,4,2,2,8,2,
4,2,2,4,2,8,4,1,1,1,1,1,1,1,4,4,1],[1,3,4,1,1,3,2,8,4,1,1,1,4,2,2,1,1,1,1,1,1,
1,1],[1,3,4,1,4,2,4,1,1,2,2,2,2,1,1,1,1,1],[1,3,4,4,1,4,2,6,6,4,1,2,1,3,4,4,1,
1,1,1,1,1,1,1],[1,3,16,1,2,4,20,1,2,2,1,1,2,4,2,1,1,1,2,2,1],[1,3,8,1,2,4,12,
1,2,2,1,1,4,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,6,1,1,1,2,2,2,2,1,2,1,1,2,1],[1,3,
12,1,1,1,6,10,8,1,1,1,2,2,2,2,6,2,4,6,6,1,2,2,2,1,1,2,2,2,1],[1,7,8,7,1,3,4,4,
8,1,1,1,2,2,2,6,2,2,4,1,1,1,1,1,1,1,1],[1,7,4,7,2,4,2,4,4,1,4,3,2,1,2,2,2,2,1,
1,1,1,1,1,1,1],[1,7,4,7,2,2,4,1,1,1,4,2,2,1,1,1,1],[1,3,4,1,4,2,4,1,1,2,2,2,4,
1,2,1,1,1,2,2,1],[1,3,8,4,1,1,5,4,2,6,8,1,1,2,2,1,2,2,4,2,2,4,1,1,1,1,1,1,1,
1],[1,3,12,4,1,4,2,2,2,12,16,1,1,1,2,2,2,2,1,2,1,2,4,2,4,4,4,1,1,2,1,2,2,2,4,
1],[1,3,4,1,2,4,2,2,2,1,2,1,1,2,2,1,1,1,1],[1,3,16,1,2,8,4,16,16,1,4,2,4,8,4,
8,1,1,2,1,1,1,1],[1,3,8,1,3,3,12,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,3,8,1,2,4,8,8,
1,2,4,4,4,1,1,1,2,1,1,1],[1,3,4,1,2,2,2,1,3,2,1,1,1,2,1,1,2,1,2,1],[1,1,4,2,3,
5,1,2,1,2,2,1,2,1,2,2,2,2,1,1,1,2,1],[1,3,4,1,6,2,2,3,2,1,1,2,2,1,1,1,1],[1,3,
12,1,3,5,6,4,8,3,1,1,2,1,1,1,4,2,8,2,6,3,1,1,1,2,3,2,1,1,1,2,1],[1,3,12,1,4,6,
8,1,1,2,2,2,2,1,4,1,1,1,2,2,1],[1,3,8,4,1,2,2,2,12,1,2,2,2,1,2,1,2,2,1,1,1,2,
2,1],[1,3,8,1,2,12,1,2,2,2,2,2,1,1,1,1],[1,3,4,1,2,2,2,1,1,2,3,1,1,2,1,1,1,2,
2,1],[1,3,8,4,1,2,4,2,2,8,1,2,2,1,4,1,2,2,1,1,1,2,2,1],[1,3,4,1,2,2,2,4,1,1,2,
1,2,2,2,1,1,1,1],[1,3,4,1,4,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,1,4,2,4,1,1,2,2,
2,2,1,1,1,1,1],[1,3,12,4,1,4,6,2,6,12,16,1,2,3,1,4,4,4,8,4,1,1,1,1,1,1,1,1],[
1,3,4,8,1,4,2,12,2,1,1,2,2,1,4,2,1,1,1,2,2,1],[1,3,4,4,1,2,2,2,6,6,4,1,2,1,3,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,2,1,3,1,2,1,1,1,1],[1,3,8,8,1,2,12,12,2,1,
2,1,1,2,4,2,1,1,1,2,2,1],[1,3,8,1,2,4,4,4,8,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,1,2,1,1,3,2,1,1,1,1],[1,3,4,1,1,1,2,6,1,1,1,2,2,4,1,2,2,2,1],[1,3,8,1,
2,12,1,2,2,2,2,2,1,1,1,1],[1,3,4,1,1,3,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,7,4,
4,7,1,5,2,2,6,4,1,1,3,4,1,1,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,2,1,5,1,2,1,2,1,
2,2,1,2,2,2,1,2,1,1,2,1],[1,3,1,2,4,2,1,4,1,2,1],[1,7,4,7,10,6,1,1,5,4,2,1,
1],[1,7,12,7,2,4,6,12,8,1,1,2,1,4,1,3,1,2,2,4,8,2,3,2,1,1,2,1,2,4,2,1],[1,3,
12,1,4,6,8,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,3,12,1,1,7,6,4,8,1,1,1,3,1,3,2,6,4,
8,5,1,1,1,1,1,2,2,1,1,2,2,1],[1,3,16,1,2,4,8,8,16,1,1,1,1,2,4,5,4,5,3,3,5,1,1,
2,1,3,1,1,1,2,2,1],[1,3,12,1,2,2,2,12,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,
1,2,2,2,2,2,1,1,2,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,1,4,2,1,1,1,1,2,2,1,
2,1,1,1,2,2,1],[1,3,8,4,1,2,2,2,12,1,2,2,2,1,2,1,2,2,1,1,1,2,2,1],[1,3,4,1,2,
2,2,1,1,2,1,2,1,1,2,1,1,1,2,2,1],[1,3,4,1,3,3,2,2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,
1,1,1],[1,3,8,1,2,12,8,2,1,4,4,1,2,1],[1,3,4,1,8,2,3,1,2,2,1,2,1,1,1,1],[1,3,
12,1,1,3,6,4,12,1,1,3,2,2,2,2,4,4,2,1,1,1,1,1,1,1,1],[1,3,4,1,2,6,2,2,1,1,2,2,
1,2,1,1,1,1],[1,3,4,4,1,2,6,2,2,6,4,1,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
3,4,4,1,4,2,2,2,1,1,1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,12,4,1,2,2,2,2,2,
12,16,1,1,2,1,2,2,2,1,2,1,2,2,4,4,4,4,1,2,1,1,2,2,2,4,1],[1,1,10,4,2,2,3,2,2,
8,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,12,1,1,3,2,12,1,1,2,2,2,1,2,1,1,
2,1,1,1,1,1,1,1,1],[1,1,4,10,1,3,5,2,8,2,1,1,2,2,2,1,2,2,1,1,1,2,2,1],[1,1,4,
2,1,7,1,2,2,1,1,2,2,2,1,2,2,1,1,1,2,2,1],[1,1,6,4,6,1,2,2,8,1,3,3,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,10,4,4,3,2,2,8,1,1,1,3,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
3,8,4,1,1,1,4,2,2,8,1,2,2,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,1,4,5,3,2,4,
4,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,4,2,3,1,1,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,
3,4,1,8,2,3,1,4,2,1,2,2,1,1,1,2,2,1],[1,1,10,4,1,3,3,2,2,8,1,3,3,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,3,4,4,1,1,3,2,2,2,1,1,2,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,
1,14,4,2,5,2,2,8,8,1,2,1,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,1,3,3,2,2,1,3,
3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,8,1,4,2,8,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,
14,4,1,1,5,2,2,8,8,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,10,1,3,3,2,2,1,
3,1,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,8,10,1,2,1,5,2,8,8,1,2,1,1,1,1,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,8,1,6,8,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,3,8,1,1,1,4,12,1,
2,2,2,2,2,1,1,1,1],[1,3,4,1,8,2,3,1,2,1,2,2,1,1,1,1],[1,3,8,4,1,4,4,2,8,2,1,1,
2,1,2,4,2,1,1,1,2,2,1],[1,1,4,6,1,4,1,3,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,4,6,1,
4,1,3,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,16,1,16,2,20,4,4,3,12,1,2,2,1,2,8,1,1,1,
2,2,1],[1,1,4,14,1,4,1,7,2,8,4,4,1,2,1,2,2,1,2,2,2,8,8,1,1,1,2,2,1],[1,3,8,8,
1,4,2,8,8,4,4,16,1,2,1,2,2,1,4,8,2,8,1,1,1,2,2,1],[1,1,8,6,1,2,3,3,2,8,1,1,2,
1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,1,2,2,1,3,1,3,1,2,1,1,2,1,1,1,1,1,1,1,
1],[1,1,4,2,1,3,1,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,4,2,2,1,1,1,2,4,1,1,1,2,2,2,
2,1,1,1,1],[1,1,4,6,2,1,3,3,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,
2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,4,1,2,2,4,2,2,1,1,2,1,2,2,1,1,
1,1],[1,1,10,2,2,3,2,2,1,2,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,8,2,1,2,5,
1,2,8,1,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,2,5,2,2,8,1,2,1,1,1,3,2,1,
1,2,1,1,1,1,1,1,1,1],[1,1,14,1,1,5,2,2,8,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,
1],[1,1,10,4,3,2,2,1,1,3,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,3,3,3,2,1,1,
1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,4,1,2,2,2,2,2,12,16,1,1,1,1,2,1,2,
1,1,1,2,1,2,2,2,2,2,2,4,4,1,1,1,1,1,2,2,1,1,2,2,1],[1,1,8,6,1,2,3,3,2,8,1,2,1,
1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,1,3,3,2,2,8,1,3,1,3,1,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,6,3,3,1,2,2,3,1,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,3,3,1,
2,2,8,3,1,3,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,12,6,2,1,4,3,3,6,8,12,1,1,1,2,1,
2,1,2,2,3,4,4,3,2,6,1,2,1,2,2,1,2,4,1],[1,1,4,2,1,3,1,2,4,1,2,1,2,1,2,2,1,1,1,
1],[1,1,4,10,1,4,3,5,2,4,4,4,1,1,3,3,2,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,6,1,
5,3,2,1,1,3,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,8,2,1,2,1,1,2,4,8,1,1,1,2,2,2,2,1,
1,1,1],[1,3,8,5,1,3,4,1,2,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,2,2,9,6,6,
1,1,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,3,5,8,1,3,4,1,1,1,1,1],[1,1,7,7,1,1,1,
1],[1,15,16,35,15,20,1,1],[1,3,12,16,1,16,18,3,12,4,16,1,1],[1,3,12,16,1,16,
18,3,12,4,16,1,1],[1,3,16,1,6,3,4,1,1],[1,15,4,35,12,15,1,4,1,3,1],[1,3,16,1,
6,3,4,1,1],[1,3,12,4,1,16,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,16,18,12,3,12,1,4,
1,3,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,7,
8,4,7,4,24,4,8,1,6,8,1,4,1,1,2,1],[1,7,4,7,1,3,4,1,3,3,1,4,1,1,1],[1,1,12,4,3,
6,4,8,1,3,3,4,3,1,1],[1,3,4,1,3,3,12,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,
1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,7,12,4,7,3,3,6,12,4,4,4,1,3,6,3,6,1,4,3,
1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,1,12,
4,3,6,4,4,4,1,3,3,4,3,1,1],[1,7,12,4,7,6,6,12,8,4,1,3,3,12,1,4,3,1,2,1],[1,1,
2,4,3,3,1,4,8,3,1,3,4,1,1,1],[1,7,4,7,12,4,1,6,1,4,3,1,1],[1,7,12,4,7,6,18,4,
8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,4,6,1,4,8,1,
3,3,4,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,
3,10,6,4,1,3,3,3,3,6,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,1,6,12,3,4,
4,1,1,1],[1,3,10,6,4,1,3,3,3,3,6,12,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,1,4,1,1,1],[1,1,4,9,4,
3,1,3,4,3,1,1],[1,1,12,6,4,3,6,4,6,12,8,4,1,3,3,12,1,4,3,1,2,1],[1,3,12,4,1,6,
12,16,12,3,4,8,4,1,1,1,2,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,4,4,1,6,12,
4,1,6,1,4,3,1,1],[1,1,18,4,4,9,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,4,4,6,3,
6,4,1,3,3,1,4,3,1,1],[1,3,16,4,1,6,12,12,8,4,1,3,6,6,3,1,4,3,1,2,1],[1,1,18,4,
12,9,4,6,4,8,3,1,3,12,1,4,3,1,2,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,14,4,
7,28,4,8,7,8,1,4,1,1,2,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,
1,4,1,1,1],[1,3,14,6,1,1,1,1,3,3,18,12,1,3,3,2,2,1,3,3,3,3,3,3,1,1,1,1,3,3,1,
2,2,3,1,1,1,1,1,1,1,1],[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],[1,5,1,15,1,5,1,5,1,3,1,1],[1,7,7,
7,21,1,21,21,7,7,21,7,1],[1,3,24,1,18,32,36,6,9,12,24,36,2,3,3,9,18,6,9,1],[1,
15,12,35,16,18,18,15,3,9,12,12,36,1,1,3,3,9,9,9,3,3,9,1],[1,15,24,35,3,9,12,
72,15,9,9,12,18,24,12,36,12,24,1,1,3,3,3,6,6,18,18,12,12,1,3,2,3,6,1],[1,7,32,
7,3,9,16,96,1,9,9,24,32,24,24,48,1,4,3,3,12,12,24,24,1,2,6,6,1],[1,3,1,6,12,
12,2,6,6,3,4,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,15,24,35,3,9,12,72,32,15,1,3,
9,9,12,4,18,6,6,24,8,12,36,12,12,16,1,3,1,1,3,2,3,3,18,6,18,6,6,12,12,12,24,
24,3,3,3,4,6,12,1],[1,7,24,7,1,3,12,36,32,1,6,3,3,6,8,8,12,12,12,12,24,24,24,
1,3,3,6,6,8,8,12,12,12,12,24,24,24,3,4,6,6,12,1],[1,7,24,7,1,15,12,24,32,1,4,
3,9,16,6,12,8,12,24,36,24,3,1,3,4,12,4,6,6,12,8,24,12,24,12,24,6,3,4,6,12,1],[
1,3,24,12,1,3,3,12,16,6,18,24,32,48,1,3,3,3,6,3,12,4,8,6,6,6,6,16,12,12,12,12,
12,12,24,24,1,1,1,2,3,3,3,3,6,6,6,6,6,12,12,12,12,12,24,24,3,3,3,4,6,12,1],[1,
7,7,1,3,1,3,3,12,1,6,6,6,3,1],[1,3,24,1,6,12,12,24,32,3,4,6,6,8,8,16,12,24,1,
2,2,3,3,6,6,6,6,3,6,6,1],[1,3,24,12,1,3,3,12,16,6,18,24,48,3,3,6,6,6,3,12,6,6,
6,6,12,12,12,24,24,24,1,1,3,3,3,3,3,6,6,6,12,12,12,12,1,2,3,3,6,1],[1,7,8,7,1,
3,20,12,1,2,3,3,10,4,4,4,4,8,1,1,1,4,4,2,4,2,4,4,2,1,4,1],[1,3,8,8,1,14,4,12,
2,2,5,8,2,4,12,4,4,4,1,1,1,4,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,1,6,8,4,4,6,2,
3,4,4,6,2,12,4,4,1,1,1,4,4,2,6,4,4,4,1,1,1,2,2,1],[1,3,8,1,10,12,2,5,4,4,8,1,
1,1,4,4,1,2,1],[1,3,8,1,10,12,2,5,4,8,4,1,1,1,4,4,1,2,1],[1,7,8,7,1,3,4,12,1,
2,3,3,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,7,8,8,7,3,13,4,4,12,8,1,
2,9,11,4,2,2,4,8,4,4,4,4,4,4,8,8,8,1,1,3,1,3,1,1,2,4,2,2,2,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,4,4,1],[1,3,8,8,1,4,10,4,12,2,6,5,4,4,6,12,4,4,1,1,1,4,4,2,4,6,4,4,
1,1,1,2,2,1],[1,3,1,2,8,4,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[1,3,8,1,2,12,4,4,2,2,
3,8,2,2,4,4,12,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,7,8,7,1,3,4,12,1,2,3,
3,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,4,4,4,4,4,8,1,2,4,4,4,1],[1,7,24,8,7,3,5,12,
4,12,56,64,1,1,2,3,5,3,4,14,2,2,2,16,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,8,32,16,2,
1,1,1,1,1,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,1,1,1,2,2,
2,2,4,4,4,8,1],[1,3,16,8,1,10,8,8,12,16,32,2,5,4,4,4,8,8,4,8,8,16,16,1,1,1,2,
2,2,2,2,4,2,4,4,8,1,2,2,2,4,4,1],[1,7,7,3,9,1,9,9,8,1,3,3,4,4,4,1,2,4,1],[1,7,
7,3,9,1,9,9,4,4,1,3,3,2,2,4,4,1,2,2,2,1],[1,7,24,7,1,7,12,8,56,1,3,5,4,14,4,
16,4,4,8,4,4,4,16,8,16,2,1,1,1,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,4,4,
1],[1,7,8,7,1,7,4,8,1,3,5,4,2,4,8,4,4,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,3,
16,1,2,8,8,12,16,2,3,4,4,4,4,6,4,8,8,8,8,1,2,1,2,1,2,2,2,2,4,4,4,4,4,1,2,2,2,
4,4,1],[1,7,8,7,1,7,4,8,1,3,5,4,2,4,4,8,4,4,4,1,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,7,8,7,5,11,4,8,8,1,1,3,11,9,4,2,2,2,4,4,4,4,8,8,1,1,3,3,1,2,2,2,2,4,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,1,2,8,4,2,3,4,2,8,4,1,1,1,4,4,1,2,1],[1,7,
24,7,5,11,12,24,32,1,2,10,7,5,8,8,6,8,12,8,28,16,20,16,1,2,1,2,1,8,4,4,4,4,6,
2,4,8,8,16,16,8,8,4,8,12,16,8,1,1,1,2,4,2,8,4,4,4,1],[1,15,8,8,35,1,3,4,12,12,
24,15,2,3,3,4,6,6,8,12,4,4,4,4,24,16,1,1,1,1,1,6,2,6,6,2,2,6,4,4,4,4,1,2,1,1,
2,2,2,4,1],[1,15,12,35,18,18,8,15,3,9,2,2,36,6,6,1,9,9,6,6,3,1,3,1],[1,7,32,7,
3,9,16,48,80,1,1,3,3,3,6,4,12,12,12,8,20,16,18,18,18,24,24,1,2,3,3,3,1,3,1,3,
3,3,3,3,3,6,9,6,15,9,15,6,6,24,24,1,3,3,3,6,3,3,3,6,1],[1,7,8,12,7,4,18,18,24,
8,1,3,6,9,2,8,2,12,6,6,24,1,3,3,6,6,6,6,1,3,3,1],[1,3,8,8,1,6,4,8,4,8,3,2,2,4,
4,6,4,2,4,4,4,8,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,3,16,16,1,2,8,8,16,4,24,
16,48,4,2,3,4,2,12,4,4,4,4,4,12,8,12,12,12,24,16,1,3,1,1,2,3,1,2,3,2,6,4,2,2,
2,8,8,8,8,1,1,2,2,1,2,2,2,2,1],[1,3,16,8,1,10,12,24,2,5,4,4,2,2,12,4,12,1,1,1,
4,6,2,4,4,4,4,1,1,1,2,2,1],[1,7,24,7,3,5,12,56,1,1,3,5,3,4,14,2,2,16,4,4,4,4,
4,4,8,2,1,1,1,2,2,2,2,2,2,2,4,2,4,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,3,16,1,
10,8,4,8,2,3,8,2,2,2,4,12,4,4,4,1,4,1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,3,16,
1,2,8,8,12,16,2,3,4,6,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,1,1,2,2,4,2,4,4,4,
1,1,2,1,2,2,2,2,2,1],[1,3,8,1,10,12,16,2,5,4,4,8,1,1,1,4,4,1,2,1],[1,3,16,1,
10,4,16,16,2,5,4,4,4,2,6,4,8,4,4,1,1,1,4,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,8,
1,2,12,4,8,12,8,2,2,5,4,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,1,2,2,4,2,3,2,2,4,6,
2,1,1,1,2,2,2,2,2,2,1],[1,7,24,8,7,3,5,12,4,12,40,16,32,1,2,3,1,6,10,2,2,2,8,
4,2,4,10,2,4,4,4,8,8,4,8,4,4,12,8,12,16,8,8,1,1,1,1,1,1,1,2,2,3,1,1,2,2,1,2,6,
2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,1,2,1,2,2,2,1],[1,7,8,16,7,1,7,4,16,8,24,8,16,
1,4,3,5,2,4,12,8,4,4,4,12,16,4,4,4,8,16,1,1,3,1,1,3,3,2,2,2,4,2,4,4,4,2,2,2,4,
4,1,1,1,1,1,1,2,1,2,2,2,1],[1,3,16,1,2,8,4,24,2,3,4,2,4,8,2,2,4,4,12,1,1,1,4,
4,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,7,1,3,8,1,3,3,4,2,2,4,1,1,2,2,2,1,2,2,2,2,2,1,
1,1,1],[1,7,24,7,1,7,12,56,1,3,5,4,14,16,4,4,2,8,4,2,4,4,8,2,1,1,1,2,1,2,2,2,
1,2,4,4,4,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,8,8,7,3,5,4,12,12,8,1,2,5,3,4,2,
6,4,4,8,4,8,4,8,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,3,1,4,2,2,2,4,4,2,2,2,2,4,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,7,8,8,7,3,5,4,4,12,8,1,1,2,3,5,3,4,2,2,2,2,4,2,4,4,4,
2,4,4,4,8,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,4,4,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,7,16,7,3,9,8,8,16,1,5,5,4,4,4,4,4,4,12,4,4,4,4,8,4,8,8,1,1,1,1,1,
1,2,2,2,2,2,2,1,2,2,4,2,4,4,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,16,7,1,3,8,
8,48,1,3,3,12,4,16,4,4,4,8,2,1,2,2,2,2,2,2,2,4,2,4,1,1,1,4,1],[1,3,16,8,1,4,6,
8,8,12,16,1,2,3,4,1,4,2,2,4,4,4,4,4,4,4,8,8,12,12,8,8,1,1,1,1,1,2,2,2,2,2,4,6,
2,2,4,2,2,4,2,8,1,1,1,2,2,2,2,2,2,1],[1,7,16,12,7,2,2,8,16,10,18,32,32,1,3,2,
4,8,5,12,8,4,4,4,12,4,4,4,8,8,8,16,16,8,1,1,2,3,2,2,1,1,1,2,3,4,2,4,2,4,8,8,8,
8,1,2,1,1,2,2,2,2,2,1],[1,3,8,4,1,5,9,4,10,6,8,1,1,3,5,2,2,5,4,2,6,4,6,2,8,8,
4,4,1,1,2,1,1,2,2,1,5,3,2,2,2,2,4,2,4,2,4,1,2,2,1,1,2,2,2,2,1],[1,7,8,7,1,7,4,
8,1,3,5,4,2,4,4,8,4,4,4,1,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,16,1,4,6,8,4,
8,6,3,4,4,2,6,2,12,4,4,1,4,4,1,1,6,2,2,2,4,4,1,1,1,2,2,1],[1,3,8,16,1,2,4,4,4,
16,8,16,2,2,1,2,4,4,2,4,6,4,8,4,4,8,8,1,1,1,4,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,
16,1,10,8,4,8,16,3,2,2,4,2,4,4,8,4,10,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,
3,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,8,1,2,8,8,4,2,3,4,2,4,
4,6,2,4,4,4,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,3,16,1,10,8,4,8,2,3,8,2,2,
2,4,4,12,4,4,1,4,1,2,1,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,3,8,1,6,4,4,8,3,4,2,2,8,
4,1,1,1,4,2,2,1,2,1],[1,7,8,7,3,5,4,8,8,1,1,3,5,3,4,2,2,2,4,4,4,4,4,1,1,1,2,2,
2,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,7,8,7,3,9,4,12,1,2,9,9,2,4,4,4,4,8,4,1,3,1,
3,1,2,2,2,4,4,2,2,1,1,1,2,2,1],[1,3,8,8,1,2,4,4,12,8,16,2,2,1,2,4,4,8,8,8,1,1,
1,4,4,1,2,1],[1,3,8,8,1,14,4,12,2,2,5,8,2,4,12,4,4,4,1,1,1,4,4,2,2,4,4,4,4,1,
1,1,2,2,1],[1,3,16,1,2,8,8,4,8,16,1,1,3,2,2,2,4,2,4,6,2,2,2,2,4,8,1,1,1,2,1,1,
1,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,8,7,1,7,4,8,1,3,5,4,2,4,8,4,4,4,4,
1,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,7,3,9,8,1,9,9,4,2,2,1,3,3,1,2,2,2,1,2,
2,1,1,1,1],[1,15,8,35,1,3,4,24,15,3,3,4,6,8,2,12,2,4,1,1,1,1,6,6,1,2,2,2,2,2,
1,1,1,2,2,1],[1,3,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,8,1,
10,12,2,5,4,4,4,4,1,1,1,4,4,1,2,1],[1,15,16,4,35,2,6,8,6,6,48,16,15,1,6,6,8,
12,3,16,24,12,4,4,4,4,4,4,8,8,1,2,2,1,12,1,12,3,1,1,3,2,2,2,2,2,2,8,8,2,1,1,1,
2,2,2,2,2,1],[1,7,16,8,7,1,3,8,4,12,48,1,2,3,3,12,2,16,4,2,4,2,4,4,4,4,8,8,2,
1,1,1,2,1,2,2,1,2,4,4,2,4,4,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,8,1,10,12,2,5,4,
4,4,4,1,1,1,4,2,2,1,1,1,1],[1,3,8,1,6,4,4,8,3,4,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,
1],[1,7,8,7,5,11,4,8,1,1,3,11,9,4,2,2,2,4,2,4,4,2,1,1,3,3,1,1,2,2,2,1,2,2,4,2,
1,1,1,1,1,1,1,1],[1,7,16,8,7,1,11,8,4,12,16,32,1,2,3,7,4,4,2,4,16,4,4,4,8,12,
4,8,4,16,8,1,1,1,1,1,3,2,2,4,4,1,2,2,2,4,2,4,2,4,4,4,1,1,1,2,1,1,1,1,2,2,2,
1],[1,7,8,7,3,5,4,8,1,1,3,5,3,4,2,2,2,4,2,4,4,2,4,1,1,1,1,2,2,2,1,2,2,2,4,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,8,7,3,13,4,8,1,9,11,4,2,4,8,4,4,4,1,1,3,3,1,
2,2,2,2,2,4,4,1,1,1,2,2,1],[1,3,16,8,1,2,8,8,12,8,16,2,2,1,2,2,4,4,4,8,10,4,4,
8,8,1,1,1,4,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,7,8,7,1,3,4,12,1,2,3,3,2,4,4,4,4,8,
8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,3,8,8,1,2,4,4,12,8,2,2,1,2,4,4,8,8,8,1,1,
1,4,4,1,2,1],[1,3,16,1,10,8,4,8,2,3,8,2,2,2,4,12,4,4,4,1,4,1,1,2,2,2,4,4,2,4,
4,1,1,1,2,2,1],[1,3,1,2,8,4,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[1,7,8,7,1,3,4,12,16,
1,2,3,3,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,3,24,1,6,4,4,32,3,2,2,
4,2,2,4,12,4,12,1,1,1,6,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,1,2,8,4,2,3,4,2,4,4,4,1,
1,1,2,2,4,1,1,1,1],[1,3,1,2,8,4,2,3,4,2,4,8,1,1,1,4,4,1,2,1],[1,3,24,4,1,1,5,
12,10,6,24,32,1,1,2,6,2,2,5,4,2,2,2,2,8,4,12,8,4,8,16,8,16,1,1,2,2,2,1,1,1,3,
1,2,4,4,2,2,2,2,2,4,4,4,4,1,2,1,1,2,2,2,2,2,1],[1,3,8,1,2,12,4,4,2,2,3,8,2,2,
4,12,4,4,4,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,7,16,7,1,3,8,48,1,3,3,12,16,
4,2,2,4,4,8,2,1,2,1,2,1,2,2,2,4,2,4,2,1,1,1,2,2,1],[1,3,24,8,1,2,4,4,12,32,2,
2,1,2,4,8,2,2,4,4,4,12,8,8,1,1,1,4,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,1,6,4,4,
8,3,2,2,4,4,4,4,1,1,1,4,4,1,2,1],[1,7,24,7,1,7,12,8,40,16,1,1,3,2,10,2,2,4,8,
4,2,14,2,4,4,8,4,8,12,4,16,1,1,1,1,1,1,3,1,1,3,2,2,1,4,2,2,2,2,4,4,4,4,4,1,1,
1,1,1,1,1,2,2,2,2,1],[1,7,7,1,3,1,3,3,4,4,4,1,2,2,2,4,2,2,4,1,2,2,2,1],[1,7,8,
8,7,1,7,4,4,12,8,1,2,3,5,4,2,2,4,8,4,4,4,4,4,4,8,4,1,1,1,1,1,2,2,2,2,2,4,4,2,
2,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,3,16,8,1,4,6,8,12,8,16,1,2,1,2,1,2,2,2,4,
4,6,2,2,2,2,8,4,8,8,1,1,1,2,1,1,1,1,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,8,
7,1,7,4,8,8,1,3,5,4,2,4,4,2,8,4,2,4,1,1,1,1,2,2,2,2,2,1,2,4,2,4,1,1,1,2,2,1],[
1,3,8,1,6,4,4,8,3,2,2,4,4,8,1,1,1,4,4,1,2,1],[1,7,16,4,7,4,8,14,6,32,16,1,1,2,
8,7,8,4,8,8,4,8,4,8,8,8,1,1,1,2,1,2,1,2,3,2,2,1,2,6,2,4,2,1,1,2,1,2,2,2,2,2,
1],[1,7,16,7,1,3,8,32,16,1,1,1,2,8,2,2,8,4,2,2,6,2,2,4,8,4,1,1,1,1,1,1,1,1,1,
2,2,4,4,2,2,2,1,1,1,1,1,1,1,1],[1,3,20,1,3,5,10,4,12,8,3,1,1,2,1,3,1,4,2,2,8,
2,6,2,4,3,4,2,4,4,8,1,1,1,1,1,1,2,3,2,2,2,2,2,1,1,1,1,2,4,2,4,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,3,1,4,6,4,1,3,4,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,
3,8,4,1,3,3,4,2,6,8,8,1,1,3,3,2,1,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,2,2,
2,2,1,1,1,2,2,1],[1,3,8,4,1,6,2,2,12,3,4,2,1,2,5,1,2,1,2,2,2,1,2,1,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,6,2,2,2,1,2,1,1,4,2,2,2,2,1,1,2,2,1,
1,1,1,1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,12,7,14,18,8,1,3,7,2,2,4,12,6,
6,4,1,1,2,2,3,6,2,6,4,4,1,1,1,2,2,1],[1,3,12,8,1,4,2,12,12,1,2,1,1,2,1,2,2,3,
2,4,4,2,1,1,1,2,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,3,3,6,6,8,1,3,3,
2,6,2,6,4,1,3,3,2,1,1,2,2,2,2,1,1,1,1],[1,3,4,4,1,4,4,2,2,2,1,2,1,2,1,2,2,2,4,
1,1,2,2,1,1,1,1,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,12,8,7,6,6,4,12,12,
8,1,1,2,3,1,3,3,2,2,12,6,2,3,4,8,2,8,1,3,1,3,1,2,2,2,1,2,3,6,2,2,1,1,1,1,1,1,
1,1],[1,3,16,4,1,2,4,2,2,20,1,2,2,3,2,3,1,2,4,1,2,2,2,1,1,1,1,2,1,1,1,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,3,12,1,4,2,4,12,1,1,1,2,2,3,2,2,1,4,2,4,2,1,1,1,2,2,
2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,24,4,7,2,6,12,6,6,40,16,32,1,1,2,2,4,
10,2,2,3,8,4,2,4,12,2,2,2,4,4,8,4,4,4,4,4,2,8,2,16,4,12,1,1,1,1,1,1,2,2,2,1,1,
1,2,1,1,1,1,1,3,1,2,1,3,1,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,3,16,4,1,2,4,2,2,20,1,2,2,3,2,3,1,2,4,1,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,24,1,6,12,4,16,16,1,2,4,4,2,4,2,4,8,2,10,8,4,8,1,1,1,2,
1,1,2,4,4,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,16,8,7,1,3,8,12,12,32,16,1,2,1,1,
2,8,6,8,4,6,2,2,4,8,4,4,4,2,4,2,8,20,12,1,1,1,1,1,2,1,1,1,2,1,1,1,2,1,3,3,2,5,
1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,24,1,2,4,12,4,16,16,1,1,1,
2,4,2,4,2,4,6,2,2,8,4,8,4,8,1,2,1,2,1,1,1,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,24,8,1,2,4,12,8,12,24,16,48,2,2,1,6,2,2,4,4,2,4,2,2,2,4,4,8,4,8,4,4,6,
12,6,24,12,12,1,1,1,1,3,2,2,1,1,1,2,1,3,3,3,2,3,1,1,2,4,4,4,4,8,8,1,1,1,1,1,2,
1,1,2,1,1,1,1,1],[1,3,20,4,1,2,6,2,2,2,24,16,1,2,1,1,4,8,2,2,2,2,1,4,1,2,4,2,
12,4,4,4,1,1,1,1,4,2,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,12,16,1,4,2,4,
16,12,16,16,1,2,1,1,2,4,1,2,4,2,3,2,2,6,4,8,4,4,2,4,4,4,1,1,1,2,1,2,1,2,4,1,3,
1,1,2,4,2,2,2,4,2,2,4,2,4,1,1,2,1,1,1,1,1,2,2,2,1],[1,3,8,4,1,6,2,2,12,3,4,2,
5,2,1,1,2,1,2,2,2,1,2,1,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,2,6,
2,2,2,1,3,2,1,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,
3,8,8,1,2,4,12,4,8,1,2,4,4,4,6,2,4,4,8,4,4,1,1,1,2,2,2,4,4,2,4,4,4,1,1,1,2,2,
1],[1,3,20,1,1,7,10,4,12,8,1,1,1,3,3,3,2,2,6,2,4,8,4,5,4,2,4,4,8,1,1,1,1,1,1,
1,1,2,2,2,2,1,2,2,1,1,2,2,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,8,
1,2,4,12,4,2,1,4,4,4,4,6,2,4,4,8,4,1,1,2,1,2,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,3,
20,4,1,2,6,2,2,2,24,16,1,3,2,1,4,2,2,2,1,12,1,2,2,12,4,4,4,4,1,1,1,2,1,1,6,2,
2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,16,4,1,3,7,8,10,6,16,1,3,2,4,2,2,5,4,4,2,
2,4,4,2,2,8,4,4,8,4,4,8,8,1,1,1,1,1,1,1,2,2,1,2,1,1,1,2,2,2,4,2,2,2,2,4,4,4,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,16,1,6,16,24,8,4,3,12,12,4,4,1,3,3,2,2,
1,1,1,1],[1,7,12,7,16,14,18,1,3,7,12,12,4,1,3,2,3,2,1,1,1,1],[1,3,12,16,1,2,2,
2,4,16,12,16,16,2,1,1,2,1,2,4,2,3,4,1,2,2,6,4,8,4,2,4,4,4,4,1,1,1,1,2,1,2,1,2,
4,2,1,1,3,2,2,2,2,4,4,2,4,2,4,1,1,2,1,1,1,1,1,2,2,2,1],[1,3,24,1,6,16,4,28,16,
8,4,3,12,4,4,2,14,4,8,4,4,16,1,3,3,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,3,16,1,4,6,4,
24,1,3,4,1,2,4,8,4,4,12,1,1,1,2,2,4,2,2,4,4,1,1,2,1,2,1],[1,3,16,4,1,10,4,2,2,
12,16,2,3,8,2,2,1,4,2,12,1,1,2,4,1,2,4,2,2,4,4,4,1,4,2,1,1,4,1,2,1,1,1,4,1,1,
2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,8,4,1,1,1,4,6,6,8,8,1,1,
2,3,4,2,2,2,2,4,4,4,8,4,1,1,1,2,2,2,1,1,2,4,2,2,4,2,1,1,1,2,2,1],[1,3,8,1,2,4,
4,4,8,2,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,12,1,5,7,6,4,4,8,3,3,
1,2,1,1,1,4,2,2,8,2,6,2,3,4,2,4,1,1,1,2,1,1,1,2,3,2,2,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1],[1,7,8,12,7,4,4,6,18,8,8,8,16,1,3,2,2,3,2,2,8,12,6,6,4,8,4,16,1,1,2,3,
2,2,6,6,4,4,1,1,1,2,2,1],[1,7,8,4,7,2,2,4,10,6,8,8,1,1,2,4,2,5,4,4,4,4,4,4,2,
2,1,1,1,2,2,1,1,1,1],[1,3,4,4,1,8,2,2,2,1,3,1,2,2,2,2,4,1,1,2,2,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,7,18,6,8,1,1,9,4,4,4,1,1,2,4,1,2,1,1,1,
1],[1,3,8,12,1,3,3,4,6,10,8,8,1,1,3,3,2,1,2,2,2,2,2,2,2,6,2,2,4,6,4,6,4,4,4,1,
1,1,2,2,2,2,2,2,2,2,2,1,2,1,2,1,2,1,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,3,12,1,1,5,10,10,8,8,1,1,2,3,2,2,2,2,6,2,4,6,6,4,1,1,1,2,2,2,2,1,2,1,2,
2,2,2,2,2,1,1,1,2,2,1],[1,7,8,4,7,2,6,4,14,6,8,1,1,4,4,2,2,7,4,6,2,4,2,4,4,4,
2,2,4,4,1,1,1,1,2,1,3,1,1,3,1,1,3,1,1,1,3,2,1,1,3,2,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1],[1,3,24,1,2,4,4,4,32,2,1,2,2,2,2,4,8,4,4,4,12,4,1,1,1,2,2,2,4,2,4,4,1,1,
2,1,2,1],[1,3,8,20,1,1,1,4,16,6,22,8,8,8,16,3,1,2,1,2,12,2,2,2,6,2,4,6,6,4,4,
4,8,8,4,16,16,1,1,1,2,2,2,2,2,1,1,4,2,2,2,2,4,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[
1,3,12,8,1,2,2,2,12,12,2,1,1,2,1,2,2,3,1,2,4,4,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,12,1,3,9,6,4,4,8,3,1,3,2,1,1,1,4,2,2,8,2,2,6,3,2,1,1,1,
1,1,1,2,3,2,1,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,24,4,1,1,5,12,10,6,24,16,
16,1,1,2,6,5,4,2,2,2,4,2,4,8,4,8,8,4,2,4,2,8,12,20,1,1,1,1,2,1,1,1,1,1,1,2,1,
1,5,3,2,3,3,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,7,12,8,7,2,4,6,4,12,
12,8,1,2,1,2,1,4,1,3,1,2,2,2,4,2,8,2,3,4,8,2,8,1,1,2,1,1,1,2,2,2,1,2,1,2,2,4,
2,2,2,1,1,1,1,1,1,1,1],[1,7,8,12,7,2,2,4,6,18,8,8,1,3,2,4,2,3,2,2,4,12,6,6,4,
4,4,4,2,1,1,3,2,6,2,6,4,4,1,1,1,2,2,1],[1,3,16,4,1,4,6,4,2,2,12,16,6,3,4,4,6,
2,12,1,2,1,1,2,1,2,2,2,4,4,4,4,1,4,4,6,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,24,4,1,2,4,8,2,2,20,16,16,1,1,1,2,2,2,4,2,4,
6,1,2,2,2,1,1,2,8,1,2,2,2,4,4,4,4,1,2,1,1,2,2,1,1,2,1,1,2,1,1,1,1,2,2,4,2,2,2,
2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,12,1,2,2,2,4,12,1,1,2,1,2,2,2,1,3,
4,2,4,2,1,1,1,2,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,20,4,1,4,4,2,2,2,24,
16,1,2,1,2,1,4,2,8,2,2,1,4,1,2,2,12,4,4,4,4,1,1,1,2,1,4,1,2,2,2,2,2,2,2,2,4,1,
1,1,1,1,1,1,1],[1,3,8,12,1,1,1,4,10,10,8,8,1,1,2,3,2,2,4,2,2,6,2,4,6,4,6,4,4,
4,8,1,1,1,2,2,2,2,2,1,1,2,4,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,15,4,35,
6,6,8,15,1,3,12,4,4,1,3,3,2,2,1,1,1,1],[1,7,20,7,2,8,10,20,8,1,1,2,3,4,1,5,3,
2,4,2,16,6,4,3,2,4,1,1,1,2,2,3,3,1,3,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,1,2,4,
8,8,1,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,24,4,7,2,6,12,6,6,56,16,16,1,1,
4,4,2,14,2,2,3,16,4,2,4,6,2,4,4,8,4,4,4,8,4,4,4,4,8,8,8,2,1,1,1,1,2,1,2,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,4,2,4,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
3,8,12,1,1,1,4,16,2,18,8,16,3,1,2,1,12,2,2,2,2,4,4,4,8,4,8,1,1,1,2,2,2,1,1,2,
4,2,2,2,4,1,1,1,2,2,1],[1,3,12,8,1,2,2,2,8,4,12,16,1,1,2,1,2,4,2,2,1,4,3,6,2,
2,4,4,8,2,4,4,4,4,1,1,1,1,2,3,2,2,1,1,4,1,1,2,2,2,2,2,4,2,4,2,4,4,1,1,1,1,1,2,
1,1,2,2,2,1],[1,3,24,4,1,2,4,8,2,2,20,16,16,1,1,1,2,2,2,4,2,4,6,1,2,2,2,1,1,2,
8,1,2,4,2,2,4,4,4,1,2,1,1,1,2,1,1,1,2,2,2,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,3,12,8,1,4,2,8,4,12,16,1,1,1,2,4,2,3,2,4,2,1,6,2,2,
4,4,4,8,2,4,4,4,1,1,1,2,2,1,3,2,2,1,1,1,4,1,2,4,2,2,4,2,2,2,4,4,1,1,1,1,1,2,1,
1,2,2,2,1],[1,3,12,1,3,9,6,4,4,8,1,3,1,3,1,3,2,2,6,2,4,8,5,4,2,4,1,1,1,1,1,1,
2,1,1,2,2,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,8,16,1,2,4,8,16,8,16,8,16,2,1,
2,2,4,4,2,6,4,8,4,4,8,8,4,16,1,1,1,2,2,4,2,4,2,4,4,4,1,1,1,2,2,1],[1,3,16,12,
1,1,1,8,6,10,16,8,32,1,1,4,2,2,1,2,2,2,2,2,2,2,6,2,2,4,6,6,8,16,8,1,2,1,1,2,2,
2,2,2,2,2,2,1,1,2,1,1,2,4,2,2,2,2,4,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,3,12,1,3,3,
10,10,8,1,3,3,2,2,6,2,10,2,4,6,6,4,1,3,3,2,2,2,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[
1,7,8,4,7,4,6,6,24,8,1,1,6,3,8,4,4,8,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,12,7,2,4,6,
8,12,8,1,1,2,1,4,1,3,1,2,4,2,4,8,2,2,4,3,2,1,2,1,2,1,1,1,2,2,2,2,1,1,2,2,4,2,
2,1,1,1,1,1,1,1,1],[1,3,8,8,1,2,4,4,12,8,8,16,2,1,2,2,4,4,4,8,8,4,1,1,1,2,2,2,
2,1,1,1,1],[1,3,20,4,1,8,2,2,2,24,16,1,3,1,4,2,2,2,2,1,12,1,2,4,2,12,4,4,4,1,
1,1,1,2,1,6,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,7,20,7,4,6,10,20,8,1,1,4,1,8,
1,5,1,2,2,4,4,12,2,2,4,3,2,4,1,1,2,4,1,1,1,2,1,1,2,4,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,20,8,1,1,7,10,12,12,8,32,1,2,1,1,3,3,3,2,6,4,8,2,5,4,2,4,4,8,4,16,1,1,
1,1,1,2,1,1,1,2,2,2,1,2,1,2,1,2,2,2,2,2,2,4,2,2,4,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,7,20,7,16,10,30,8,8,1,5,5,2,12,2,20,6,6,4,16,1,3,5,2,6,6,4,4,1,1,1,2,2,
1],[1,3,4,1,1,5,6,6,1,1,2,3,2,2,2,2,4,1,1,1,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,7,
12,7,6,6,8,12,8,1,1,3,1,3,3,4,2,2,12,6,4,3,2,1,1,3,2,1,3,2,2,1,2,3,2,6,2,1,1,
1,1,1,1,1,1],[1,3,12,1,1,11,6,4,4,8,1,1,3,3,1,3,2,2,6,4,8,2,5,2,1,1,1,1,1,1,1,
1,2,1,2,2,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,16,4,7,4,8,8,6,6,16,1,1,1,3,6,4,
6,4,2,2,3,4,4,10,2,4,2,4,4,4,4,4,4,6,6,4,4,1,1,1,1,1,2,3,2,1,1,1,1,2,1,1,2,2,
1,2,3,1,1,2,1,4,1,2,3,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,20,7,10,10,20,
8,1,1,5,1,5,3,2,20,6,2,3,2,12,1,3,5,3,1,1,3,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,
2,4,8,2,1,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,20,8,1,3,5,10,12,12,8,32,2,3,
1,1,2,1,3,1,4,2,8,2,2,6,3,4,2,4,4,8,4,16,1,1,1,2,1,1,1,2,3,2,2,1,1,1,2,1,2,2,
2,2,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,4,7,4,4,10,6,8,16,1,1,2,2,
5,8,4,4,8,4,1,1,2,2,1,2,2,1,1,1,1],[1,3,16,4,1,1,1,8,2,6,16,8,32,1,1,4,2,2,1,
2,2,2,2,8,16,4,4,8,1,2,1,1,2,2,4,2,4,2,2,2,2,1,1,1,4,1],[1,7,20,7,2,8,10,20,8,
1,1,2,3,4,1,5,1,2,2,4,2,16,2,3,2,12,1,3,1,2,3,1,2,1,1,2,4,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,24,4,1,2,4,8,2,2,20,16,16,1,1,1,1,2,4,5,2,4,5,2,1,3,3,1,1,2,5,1,2,
2,2,2,2,2,2,4,4,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,2,2,1,2,1,2,1,1,2,1,1,1,
1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,12,6,3,4,7,3,6,8,4,12,
1,2,1,1,2,3,2,3,2,6,2,3,3,6,2,6,2,2,1,3,1,2,1,3,1,3,2,2,6,2,2,1,1,1,1,1,1,1,
1],[1,1,12,14,2,1,4,3,7,6,8,8,4,12,1,1,2,1,2,2,1,2,1,2,2,2,2,3,4,4,3,2,2,6,2,
8,8,1,1,1,2,2,1,1,2,2,2,1,1,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,16,4,1,4,6,4,2,
2,12,16,1,6,3,1,3,3,2,9,2,1,3,3,1,1,2,3,1,2,2,2,2,2,2,2,4,4,1,3,1,1,3,1,1,1,1,
3,1,1,1,1,3,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,12,14,3,4,3,7,6,8,8,4,12,1,1,2,1,3,2,3,2,2,2,6,3,3,6,2,6,2,8,
8,3,1,2,1,2,1,3,1,3,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,1,12,6,2,1,4,7,3,6,8,4,12,1,
2,1,1,2,1,2,2,2,1,2,2,2,3,4,4,3,2,2,6,2,1,2,1,1,2,1,1,2,2,2,1,1,2,2,2,2,4,2,1,
1,1,1,1,1,1,1],[1,3,12,8,5,1,18,1,3,3,12,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,8,5,
1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,18,8,5,1,9,9,3,24,18,9,4,1,2,1,3,3,
4,3,3,6,1,1],[1,21,5,8,1,9,9,18,24,3,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,6,15,2,
2,9,9,9,2,8,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,35,16,15,1,1],[1,3,12,16,1,12,
6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,7,16,7,3,9,16,1,9,9,4,1,3,3,4,1,1,1],[1,
7,12,16,7,6,6,12,8,16,1,1,3,1,3,3,2,12,6,3,4,8,3,3,3,6,4,4,4,8,1,1],[1,7,12,
16,7,6,18,8,16,1,3,3,2,2,12,6,6,4,8,3,6,6,4,8,8,1,1],[1,3,12,16,1,6,6,6,16,3,
3,6,3,6,6,4,1,3,3,4,3,1,1],[1,15,24,4,35,3,9,12,72,4,12,12,15,9,9,12,18,24,36,
1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[1,15,12,16,35,18,18,16,15,3,9,36,20,
1,9,9,12,3,1,1],[1,3,16,16,1,6,16,24,16,4,3,12,12,4,16,1,3,3,4,1,1,1],[1,3,12,
16,1,6,6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,7,12,16,7,6,6,12,16,1,3,3,12,12,
4,1,3,3,4,1,1,1],[1,15,4,16,35,6,6,16,15,1,3,12,20,1,3,3,4,1,1,1],[1,1,12,6,
16,3,4,3,3,6,8,12,16,1,1,1,3,3,2,6,3,3,6,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,3,4,16,
1,3,3,6,6,16,1,3,3,6,6,4,1,3,3,4,1,1,1],[1,3,12,16,1,12,6,16,3,3,6,6,3,6,4,1,
3,3,4,3,1,1],[1,7,12,16,7,16,6,18,16,1,3,3,12,12,4,16,1,3,3,4,1,1,1],[1,3,16,
16,1,6,24,16,3,4,12,12,4,1,6,4,1,1,1],[1,1,14,12,4,6,1,6,6,24,4,4,4,8,8,1,3,3,
3,3,3,3,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,4,16,1,6,6,6,12,16,
1,3,3,12,12,4,1,3,3,4,1,1,1],[1,7,12,4,7,4,6,6,12,12,4,4,4,1,6,3,6,3,6,6,6,6,
1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,24,16,1,16,6,24,12,12,16,3,12,3,
6,6,3,6,24,4,16,1,3,3,6,6,4,8,3,1,1],[1,1,14,4,6,1,6,6,8,4,8,1,3,3,3,3,6,3,3,
6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,24,4,1,3,3,36,4,12,12,1,3,3,6,6,6,6,
4,12,12,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,24,16,1,16,6,24,12,12,16,3,12,3,6,6,3,6,
24,4,16,1,3,3,6,6,4,8,3,1,1],[1,1,18,4,1,3,3,6,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,16,1,12,6,16,3,3,6,3,6,6,4,1,3,3,4,3,1,
1],[1,7,20,12,4,7,3,3,10,6,18,36,48,4,4,4,8,8,1,3,3,6,9,3,8,6,12,6,6,6,12,6,
24,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,3,12,4,1,
6,6,6,12,8,3,4,6,3,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,14,4,3,3,1,6,6,8,
4,8,3,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,12,4,7,1,9,6,
6,18,12,8,4,8,1,3,3,6,3,3,12,12,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[
1,15,12,4,35,18,18,12,8,15,3,9,36,1,4,4,4,1,9,9,3,2,4,3,1,1,1,1],[1,3,8,4,1,4,
6,4,12,8,1,6,3,1,3,3,9,3,3,3,4,4,4,1,3,1,1,3,3,3,1,4,1,1,1,1,1],[1,3,24,4,1,6,
36,4,12,12,3,4,6,3,3,6,6,4,12,12,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,18,12,4,1,3,3,
6,6,24,8,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,4,1,
3,3,6,6,12,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,8,4,1,
4,6,4,12,8,6,3,4,4,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,18,12,4,1,3,3,6,6,
24,8,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,20,4,7,6,
10,12,36,8,4,8,1,3,9,6,8,12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,
1,18,4,1,3,3,6,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,15,8,4,35,1,3,4,24,12,8,15,3,3,4,6,8,12,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[
1,1,14,12,4,3,3,1,6,6,24,4,4,4,8,8,3,1,3,3,3,3,3,6,6,4,4,4,8,8,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,3,20,4,1,1,3,10,12,40,12,8,1,3,3,3,10,8,3,3,3,6,8,4,1,4,4,1,
1,1,3,3,3,3,1,2,4,2,1,1,1,1,1],[1,3,24,4,1,16,6,24,12,12,12,8,3,12,3,6,6,3,6,
24,1,4,4,4,1,3,3,6,6,3,4,2,3,1,1,1,1],[1,1,12,18,4,1,12,3,9,6,4,12,12,8,4,8,3,
1,3,3,6,3,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,24,4,1,16,6,
24,12,12,8,12,3,12,3,6,6,3,6,24,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,3,12,4,
1,12,6,12,8,3,3,4,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,6,4,1,9,3,6,
4,4,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,7,28,8,7,8,8,
1,1,1],[1,15,35,8,15,8,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,
10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,
5,10,6,5,1,1],[1,15,56,35,7,21,28,168,224,15,7,21,21,21,28,28,42,42,42,56,56,
64,84,84,84,84,112,1,7,7,7,7,8,14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,
84,84,84,84,84,168,168,7,7,21,21,21,28,28,42,42,42,56,84,84,84,84,7,7,21,28,
1],[1,15,56,35,7,21,28,168,15,21,21,28,42,56,84,84,84,168,1,7,7,7,21,42,42,42,
42,84,84,7,7,14,14,21,42,42,1,7,7,1],[1,3,8,1,10,12,4,12,2,12,6,3,4,4,6,6,8,
12,12,12,1,2,2,3,3,4,4,6,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,7,24,24,7,3,
21,12,32,12,36,24,96,1,6,9,15,12,6,6,24,12,24,12,12,12,12,12,36,24,24,24,24,
24,48,48,2,3,3,3,9,3,3,3,6,6,6,6,18,6,6,6,6,12,12,12,12,12,12,12,12,12,24,24,
24,24,1,6,2,2,3,3,9,3,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,3,6,6,6,6,1],[
1,3,8,24,1,4,18,4,32,36,6,6,9,4,12,6,24,12,12,36,2,3,3,9,4,4,6,18,6,12,12,1,6,
9,3,6,6,1,3,3,1],[1,15,8,24,35,1,3,4,36,36,24,32,15,6,3,3,4,6,18,8,8,8,12,12,
12,12,12,72,24,24,48,1,1,1,3,3,6,6,6,18,6,6,18,8,8,12,12,12,12,12,12,24,24,24,
1,6,3,3,4,6,6,6,6,6,12,12,12,1,3,3,4,4,1],[1,15,24,16,35,3,9,12,16,24,24,72,
48,15,4,9,9,12,18,12,12,24,12,36,12,12,12,12,48,12,12,12,12,12,12,24,48,24,1,
1,3,3,3,3,3,3,3,9,18,6,3,18,12,3,3,6,6,12,6,6,12,12,12,6,12,6,6,6,12,12,12,12,
24,24,3,1,4,1,3,3,3,2,3,3,6,3,3,3,6,6,3,9,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,1,3,
3,3,3,3,3,6,6,1],[1,15,8,35,1,3,4,24,15,3,3,4,6,8,6,12,6,12,1,1,1,3,6,6,3,6,6,
6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,3,32,1,4,6,16,12,24,32,6,3,4,4,6,6,6,8,8,12,
16,12,12,24,1,2,2,4,4,3,3,6,6,6,6,6,6,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,3,16,24,
1,18,32,36,24,6,9,12,24,4,6,6,12,36,12,2,3,3,9,18,6,6,12,12,12,12,6,1,9,3,6,6,
1,3,3,1],[1,7,24,24,7,3,5,12,12,36,56,32,64,1,1,6,3,5,3,4,14,2,2,6,8,16,8,4,4,
4,4,12,4,4,12,12,4,12,24,24,8,24,8,8,8,16,8,32,16,2,1,1,3,1,3,2,4,2,2,2,2,6,2,
2,2,6,8,8,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,8,8,8,8,8,8,8,
24,8,8,8,24,8,8,24,16,16,1,1,3,4,2,2,2,2,6,2,2,2,2,2,6,4,4,4,4,4,4,12,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,4,1],[1,7,8,8,7,3,13,4,4,
12,8,1,2,9,11,4,2,2,4,8,4,4,8,4,4,4,4,8,8,8,8,1,1,3,1,3,1,1,2,4,2,2,4,2,4,4,4,
4,4,4,4,4,8,8,1,1,1,1,1,2,1,1,2,4,4,4,4,1,1,1,2,2,1],[1,7,24,8,7,3,5,12,20,12,
56,64,1,1,2,3,5,3,4,14,2,2,10,16,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,16,8,32,16,2,1,
1,1,1,1,2,4,2,2,2,4,4,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,16,
2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,8,8,1,1,1,2,2,1],[1,7,8,8,7,3,13,4,4,12,8,1,
2,9,11,4,2,2,4,8,8,4,4,8,4,4,4,4,8,8,8,1,1,3,1,3,1,1,4,2,4,2,2,4,2,4,4,4,8,4,
4,4,8,4,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,7,8,8,7,3,13,4,4,12,8,1,2,9,11,
4,2,2,4,8,4,4,4,4,4,4,8,16,8,8,1,1,3,1,3,1,1,2,4,2,2,2,4,8,4,4,8,4,8,4,4,4,1,
1,1,1,1,1,1,4,4,8,4,1,2,2,2,1],[1,7,8,8,7,3,13,4,4,12,8,1,2,9,11,4,2,2,4,8,8,
4,4,4,4,4,4,8,8,8,8,1,1,3,1,3,1,1,4,2,4,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,1,2,1,
1,1,2,4,4,4,4,1,1,1,2,2,1],[1,7,40,7,5,11,20,8,104,1,1,3,11,9,4,26,2,2,4,32,4,
24,4,4,24,8,8,48,8,1,4,1,3,3,1,12,12,2,2,2,2,4,2,2,2,4,4,4,4,4,24,4,4,24,8,8,
8,8,1,2,1,1,6,2,2,2,6,2,2,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,7,8,8,7,7,25,
4,4,12,8,1,2,21,23,4,2,2,4,8,4,4,4,4,4,4,8,8,8,8,7,1,7,1,21,1,1,2,4,2,2,2,4,4,
4,4,4,4,4,4,4,4,7,1,1,1,1,1,1,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,24,8,7,7,17,
12,4,12,24,32,1,2,2,10,13,11,8,8,6,8,12,2,8,28,4,16,4,20,4,4,4,16,4,8,8,8,1,1,
2,3,1,3,2,1,1,8,4,4,4,2,4,6,4,2,2,4,2,8,2,8,4,16,4,4,4,4,4,4,16,4,8,8,4,4,4,4,
4,8,4,4,4,12,16,8,1,1,1,1,1,1,2,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,8,4,4,4,4,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,24,8,7,3,21,12,4,12,24,32,1,4,2,9,15,16,
6,12,2,8,12,24,4,36,4,4,24,4,8,8,8,8,1,3,3,1,3,1,3,4,12,4,6,4,6,2,12,2,8,4,4,
4,4,4,24,12,4,4,24,4,12,8,24,8,8,8,1,1,6,3,1,1,1,1,4,2,2,2,6,4,4,4,4,4,12,4,4,
4,8,1,1,1,2,2,2,2,2,2,1],[1,7,8,8,7,3,13,4,4,12,8,1,2,9,11,4,2,2,4,8,4,4,4,4,
4,4,8,8,8,16,1,1,3,1,3,1,1,2,4,2,2,2,4,4,4,4,4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,
4,4,1,2,2,2,1],[1,3,24,1,6,8,12,12,16,6,2,3,4,4,4,10,4,6,12,4,4,8,8,8,8,8,1,2,
1,2,1,4,4,2,2,2,2,2,6,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,7,8,8,7,3,13,4,20,12,8,1,2,9,11,4,2,10,4,4,8,4,4,4,4,4,4,4,8,8,8,1,1,3,
1,3,1,1,2,2,4,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,1,2,1,1,1,1,1,1,2,4,4,4,4,
4,4,4,4,1,1,1,2,2,1],[1,15,8,8,35,1,3,4,12,12,24,15,2,3,3,4,6,6,8,4,12,4,4,4,
4,4,24,8,16,1,1,1,1,1,2,6,2,6,6,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,8,1,2,1,1,2,2,2,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,3,24,1,2,12,12,12,16,2,2,3,8,4,6,4,6,4,4,
12,8,4,4,8,8,8,8,1,2,1,2,1,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,
2,2,2,4,4,4,4,1,1,1,2,2,1],[1,15,24,35,3,9,12,72,15,9,9,12,18,24,12,4,36,4,12,
8,24,1,1,3,3,3,6,2,6,18,18,2,4,4,4,12,4,12,4,1,3,2,3,2,6,2,2,2,4,4,4,4,4,1,1,
1,2,2,1],[1,3,24,8,1,4,10,12,8,12,16,32,2,6,5,4,4,4,6,4,12,4,8,8,4,8,8,8,16,
16,1,1,1,2,2,4,4,2,2,2,2,4,2,6,4,4,4,4,8,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,1],[1,15,40,8,35,5,15,20,12,12,120,32,64,15,1,2,3,15,15,20,4,30,6,6,6,
40,8,12,12,60,4,12,4,4,12,12,4,16,24,16,16,24,16,16,16,16,32,16,32,1,1,5,1,1,
5,2,1,3,3,1,3,6,4,6,30,6,2,4,30,6,4,4,2,2,6,6,6,4,8,8,4,4,4,8,4,12,8,12,4,8,
12,12,8,12,8,24,24,8,8,8,8,8,8,32,32,16,16,1,5,2,2,1,1,3,1,3,3,1,1,1,4,2,4,2,
2,2,6,2,2,2,2,2,2,6,2,4,2,2,4,8,4,8,4,4,4,8,8,4,4,4,4,4,8,12,4,4,4,8,1,1,1,1,
1,1,1,2,2,4,2,2,4,4,4,1],[1,7,40,7,1,15,20,8,72,32,1,4,3,9,16,18,12,4,16,8,12,
4,4,24,36,4,4,24,16,8,16,2,3,1,3,4,12,4,2,2,2,6,2,6,2,4,2,12,2,8,4,4,4,4,24,
12,24,4,4,4,12,24,8,8,8,8,1,6,3,1,1,1,4,2,2,2,2,6,4,4,4,4,4,4,4,4,12,8,1,1,1,
2,2,2,2,4,1],[1,7,40,7,5,11,20,8,72,32,1,2,10,7,5,8,8,18,8,12,4,16,8,28,4,16,
20,4,16,8,16,8,16,2,1,2,1,2,1,8,4,4,4,2,2,4,6,2,2,2,4,2,4,8,8,16,4,4,16,4,8,4,
4,8,4,4,8,4,4,12,16,8,8,8,8,8,1,1,1,1,2,1,4,2,2,2,2,2,2,4,4,4,4,4,4,8,4,4,4,4,
4,4,4,1,1,1,2,2,2,2,4,1],[1,7,8,24,7,3,13,4,12,36,8,32,1,6,9,11,4,2,6,8,8,4,8,
12,4,12,12,4,12,24,24,8,24,8,8,1,1,3,3,3,3,1,2,4,2,6,6,8,8,4,4,12,12,4,12,4,4,
4,4,12,4,8,8,24,8,8,24,24,1,1,1,1,1,1,3,4,2,2,2,6,6,4,12,4,4,4,4,4,4,4,8,1,1,
1,2,2,2,2,2,2,1],[1,7,8,7,9,23,4,8,8,1,1,3,23,21,4,2,2,2,4,4,4,4,4,4,8,8,7,1,
7,21,1,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,7,1,1,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,
2,1],[1,15,24,35,3,9,12,72,32,15,1,3,9,9,12,4,18,6,6,24,8,12,4,36,12,4,12,16,
8,1,3,1,1,3,2,3,3,2,18,6,18,6,2,6,4,4,12,4,4,12,4,12,8,24,24,8,8,8,3,3,3,1,1,
4,2,6,2,2,2,2,4,4,4,4,12,4,4,8,1,1,1,2,2,2,2,4,1],[1,3,8,1,6,16,4,12,4,6,6,3,
8,2,6,8,4,4,12,12,4,8,1,2,2,3,3,4,2,6,6,2,4,4,4,4,12,4,8,8,3,1,1,2,6,6,2,2,4,
4,1,1,1,2,2,1],[1,3,8,24,1,22,4,32,36,2,6,9,16,2,24,4,12,4,4,36,8,2,3,3,9,4,
18,2,2,4,4,4,4,4,8,8,6,1,9,1,2,2,2,4,4,1,1,1,2,2,1],[1,7,24,8,7,7,17,12,20,12,
24,1,2,2,6,13,11,8,4,6,4,4,10,8,12,8,16,12,12,12,12,8,4,4,8,24,8,8,24,16,16,
16,16,1,1,2,3,2,2,1,5,2,3,1,2,4,4,4,6,8,4,2,4,10,2,6,6,4,4,2,8,8,4,8,4,4,12,4,
8,8,8,16,4,8,4,8,8,8,16,8,1,2,2,3,1,1,2,1,1,1,6,2,2,4,6,4,8,4,2,2,2,2,2,2,4,4,
4,4,4,4,4,8,4,4,8,4,4,8,8,4,4,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,7,40,8,7,3,13,
20,4,12,104,1,2,9,11,4,26,2,32,4,24,4,8,4,4,4,4,4,24,4,4,8,48,8,8,1,4,1,3,1,3,
1,1,12,2,12,2,4,2,2,2,2,4,4,4,4,24,4,4,24,4,4,4,8,8,8,8,8,8,8,8,1,2,1,1,1,6,1,
1,1,6,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,7,8,8,7,3,13,4,4,
12,8,32,1,2,9,11,4,2,2,4,8,4,4,4,4,4,4,8,8,8,16,1,1,3,1,3,1,1,2,4,2,2,2,4,4,4,
4,4,4,4,8,8,8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,3,24,8,1,14,12,8,12,16,32,
2,2,5,8,4,2,4,8,4,12,4,8,12,4,8,8,16,16,1,1,1,2,2,4,2,2,4,2,4,2,2,2,4,4,4,4,4,
4,8,8,8,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,24,7,7,17,12,8,24,32,1,2,
10,13,11,8,8,6,8,12,4,8,28,2,16,20,2,16,8,4,8,1,1,2,3,3,2,1,8,4,4,4,1,4,6,2,2,
2,4,2,4,1,8,8,16,2,4,2,16,2,8,4,8,4,4,2,8,2,12,4,16,8,4,4,4,1,1,1,1,1,2,4,1,2,
1,1,2,2,2,1,1,2,1,2,2,4,8,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
3,16,1,6,12,12,24,2,6,6,3,4,6,4,8,8,2,2,12,4,8,12,1,2,2,3,3,6,6,4,4,12,2,2,4,
4,4,4,8,8,3,1,6,6,1,2,2,4,2,4,1,1,1,2,2,1],[1,7,24,8,7,3,5,12,4,12,56,16,64,1,
1,2,3,5,3,4,14,2,2,2,16,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,8,32,8,8,16,2,1,1,1,1,
1,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,4,8,8,4,8,8,4,8,8,4,4,4,16,16,1,1,1,
2,2,2,2,2,4,2,2,2,4,2,2,4,4,4,8,8,1,1,1,2,2,1],[1,3,16,1,2,8,4,24,2,3,4,2,4,8,
2,2,4,4,8,12,8,1,1,1,4,4,4,2,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,8,8,7,3,
5,4,12,12,8,16,1,2,5,3,4,2,6,4,4,4,8,4,4,8,4,8,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,
2,2,3,1,4,2,2,2,2,4,4,2,2,4,2,4,2,4,4,4,4,8,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,4,2,
4,4,2,2,4,4,1,1,1,2,2,1],[1,3,16,8,1,2,16,8,8,12,8,2,2,2,5,8,2,2,4,4,4,4,16,8,
4,4,4,4,4,4,4,4,8,1,1,1,1,1,4,1,2,2,4,2,3,2,4,2,2,4,2,4,4,4,6,4,2,4,4,4,4,1,1,
1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,32,1,18,32,4,40,16,16,6,
9,12,24,4,4,2,38,4,8,4,4,8,32,2,3,3,9,18,2,4,2,4,4,4,4,4,8,8,6,9,1,1,2,2,2,4,
4,1,1,1,2,2,1],[1,7,16,7,3,9,8,8,16,1,5,5,4,4,4,4,4,4,4,12,4,8,4,4,4,8,4,4,8,
8,1,1,1,1,1,1,2,2,2,2,2,2,2,1,4,2,2,4,4,2,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1,1,1,
1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,24,7,1,7,12,8,56,1,3,5,4,14,4,16,4,
4,4,8,4,4,4,4,8,16,8,16,2,1,1,1,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,2,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,1,2,8,4,24,2,3,4,2,4,8,2,
10,4,4,12,8,1,1,1,4,4,4,2,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,7,32,8,7,1,19,
16,4,12,32,32,32,1,4,2,3,11,16,8,12,2,8,12,32,36,4,24,4,8,4,12,4,8,4,16,8,1,3,
1,1,3,4,12,4,3,2,6,4,8,1,12,2,2,8,2,2,4,2,4,24,12,4,2,24,2,12,24,4,4,4,4,4,4,
4,4,4,4,1,6,3,1,1,4,2,1,1,2,1,1,1,2,6,2,2,2,2,2,2,2,2,2,2,12,2,4,4,4,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,7,8,7,3,13,4,8,8,1,9,11,4,2,4,4,6,8,4,6,4,4,1,1,3,3,1,3,
2,2,2,2,2,3,2,6,2,2,4,6,4,1,1,1,1,1,2,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
3,16,8,1,2,16,8,8,12,8,2,2,2,5,8,2,2,4,4,4,4,16,4,4,4,4,12,4,4,4,8,1,1,1,1,1,
4,1,2,2,4,2,3,2,2,2,6,4,4,6,4,2,4,4,4,4,4,4,1,1,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,7,8,32,7,1,7,4,16,16,48,8,32,16,16,1,8,3,5,2,8,8,12,8,8,
12,12,12,20,32,24,24,4,4,4,8,16,8,32,32,1,1,5,3,1,3,3,2,6,2,8,8,8,2,12,12,4,2,
12,2,2,12,4,4,24,4,24,4,24,4,8,8,8,8,1,1,3,4,1,1,1,6,2,1,6,2,2,2,2,12,2,2,4,4,
4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,3,24,8,1,6,8,4,8,4,24,32,6,2,3,4,4,6,2,4,4,
12,8,2,4,6,6,4,2,4,4,4,8,12,8,8,8,8,1,1,1,4,4,2,6,2,4,6,2,4,2,4,4,2,2,4,2,2,4,
4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,4,2,2,2,
2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,7,24,8,7,3,5,12,4,12,56,1,1,2,3,5,3,4,
14,2,2,2,16,4,4,4,4,4,4,4,4,4,4,4,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,2,4,4,2,4,4,2,2,2,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,2,2,1,2,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,
16,7,1,7,4,16,8,24,8,16,16,1,4,3,5,2,4,12,8,4,4,4,12,16,8,4,4,4,8,16,8,1,1,3,
1,1,3,3,2,2,2,4,2,4,4,4,4,4,2,2,4,2,4,4,4,4,4,1,1,1,2,1,1,1,2,2,2,1,2,2,2,2,2,
2,1,1,1,2,2,1],[1,3,32,1,2,8,8,12,40,2,3,4,4,4,4,6,4,8,2,2,4,4,8,8,8,20,8,1,2,
1,2,1,2,2,2,2,4,4,4,4,4,4,2,4,2,4,8,4,4,4,8,1,2,2,1,2,1,2,4,4,2,2,4,4,1,1,1,2,
2,1],[1,3,16,8,1,2,8,8,16,4,16,2,3,4,4,4,4,6,4,4,6,2,4,4,8,4,8,8,8,8,8,1,2,1,
2,1,2,2,2,2,4,2,4,4,4,2,4,4,4,4,4,4,4,8,8,1,2,2,1,1,2,2,2,4,2,4,4,4,1,1,1,2,2,
1],[1,3,8,1,6,8,4,4,6,2,3,4,4,6,2,12,4,4,8,8,1,1,1,4,4,2,6,4,4,4,4,4,1,1,1,2,
2,2,2,1,1,1,1],[1,3,16,8,1,6,12,8,8,12,8,2,6,2,5,4,4,2,6,4,16,4,4,4,4,4,4,4,4,
4,4,4,8,1,1,1,1,1,4,4,1,2,2,2,4,2,3,2,6,2,4,4,2,2,4,4,6,2,4,4,4,1,1,1,1,1,2,2,
1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,8,7,5,11,4,20,12,8,1,1,2,3,11,
9,4,2,2,2,10,4,2,4,4,4,2,4,4,4,8,8,4,8,1,1,3,1,3,1,1,1,2,2,4,4,4,2,4,2,1,2,2,
2,2,2,4,4,2,4,2,4,2,2,4,2,2,2,4,2,2,2,1,2,1,1,1,2,1,1,2,2,2,1,1,1,2,4,2,2,2,2,
4,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,1,10,4,16,16,2,5,4,4,4,4,4,2,6,4,8,12,4,1,1,
1,4,2,4,4,2,4,4,4,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,32,8,7,5,15,16,4,12,32,32,
32,1,2,2,10,7,7,8,8,8,8,12,2,8,28,4,24,20,16,4,8,4,12,4,8,4,16,8,1,1,2,1,1,2,
1,8,4,4,4,3,2,2,4,6,4,4,1,4,8,2,8,16,2,2,16,2,8,4,8,4,4,2,8,2,4,12,4,16,8,4,4,
4,4,4,4,4,4,4,1,1,1,1,1,2,1,4,2,2,2,1,1,1,1,1,2,2,2,2,2,8,2,2,2,2,2,2,4,4,4,2,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,16,1,10,4,16,16,2,5,4,4,12,4,4,2,6,4,8,
4,4,1,1,1,4,4,2,4,2,4,4,4,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,3,16,8,1,10,12,24,16,
2,5,4,4,10,2,12,4,12,8,1,1,1,4,4,6,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,15,
24,8,35,3,9,12,12,12,72,32,15,1,2,3,9,9,12,4,18,6,6,6,24,8,12,2,36,4,12,2,4,4,
12,4,16,24,4,16,1,3,1,1,3,2,1,3,1,3,1,18,6,2,18,6,2,2,6,1,6,6,2,2,2,4,4,4,2,4,
2,12,2,2,2,2,2,2,12,2,2,12,4,24,24,4,4,4,3,2,1,3,3,1,4,1,2,6,1,1,1,1,1,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,8,7,5,11,4,4,
12,8,1,1,2,3,11,9,4,2,2,2,2,4,6,4,4,4,6,4,4,4,8,4,1,1,3,1,3,1,1,3,2,2,2,2,3,2,
2,2,2,2,4,4,2,6,4,2,2,2,4,2,2,2,6,2,4,4,8,4,4,4,1,1,1,1,1,1,1,1,1,3,1,1,2,1,2,
2,2,4,2,4,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,8,24,7,3,5,4,20,
36,8,32,1,6,5,3,4,2,10,8,8,4,4,16,12,16,12,24,24,4,24,4,4,4,4,8,8,1,1,1,3,3,2,
2,2,2,3,1,8,6,8,8,2,2,12,12,2,2,2,12,2,12,4,4,24,24,4,4,4,24,8,8,8,8,1,3,4,6,
1,1,1,1,1,6,2,2,2,2,12,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,3,32,1,10,
16,12,24,32,2,3,8,6,2,6,8,8,4,4,12,4,4,16,4,12,24,1,2,2,4,3,2,3,2,2,6,6,2,6,4,
4,6,4,4,4,4,4,4,1,1,1,3,1,2,2,6,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,40,8,7,5,11,
20,4,12,104,64,1,1,2,3,11,9,4,26,2,2,2,32,4,24,2,4,4,4,2,4,4,24,4,8,8,4,48,8,
8,16,8,32,16,1,4,1,3,1,3,1,1,12,4,1,12,2,2,2,2,1,2,2,4,4,4,2,4,4,4,2,4,2,24,4,
2,24,2,8,4,8,8,4,4,4,8,8,4,8,4,4,8,4,16,16,1,2,1,6,1,1,2,2,1,1,6,2,2,1,1,1,4,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,15,24,8,35,3,
9,12,12,12,72,15,2,9,9,12,18,6,24,12,2,36,4,2,4,4,12,4,24,4,24,16,1,1,3,3,1,3,
1,6,1,6,18,2,18,6,2,2,1,6,2,4,4,4,4,2,2,12,2,12,2,4,4,4,4,1,3,2,2,1,3,1,2,1,6,
1,2,2,4,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,8,8,7,3,5,4,28,12,8,16,1,2,
5,3,4,2,14,4,4,8,4,8,4,8,4,4,4,4,4,8,8,1,1,1,1,1,2,2,6,6,3,1,4,4,2,2,2,4,4,2,
2,2,2,4,4,4,4,4,1,2,1,1,1,1,1,1,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,7,40,16,7,5,
11,20,16,16,24,72,32,112,1,1,4,3,7,5,8,18,6,6,8,12,16,4,8,8,12,16,12,8,4,12,
12,8,12,16,16,20,20,16,20,28,28,28,56,48,40,1,2,1,1,1,1,2,3,2,3,1,2,4,7,6,5,4,
4,4,3,2,2,5,5,6,2,2,2,4,8,14,10,8,4,4,10,12,4,6,4,8,6,4,6,8,8,8,8,16,20,12,16,
16,16,12,16,20,24,24,32,32,1,1,1,1,1,2,1,2,2,1,5,4,2,2,3,2,2,1,2,4,4,2,2,3,2,
3,1,1,1,4,8,6,6,6,4,2,4,6,4,8,2,2,2,2,4,4,4,2,4,6,4,2,4,4,4,8,12,1,1,1,2,2,1,
1,2,2,1,1,2,2,4,2,2,2,2,1],[1,3,24,16,1,4,10,4,4,16,24,16,32,2,6,5,4,4,6,4,4,
12,6,4,2,2,12,6,4,8,4,4,12,8,8,8,8,1,1,1,4,4,2,4,6,2,4,2,2,2,4,4,4,2,6,2,6,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,2,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,7,8,16,7,1,7,4,16,8,24,8,16,1,4,3,5,2,4,
12,4,8,4,4,4,4,12,16,4,4,4,8,8,16,1,1,3,1,1,2,3,3,2,2,2,2,4,2,4,4,4,4,2,4,2,2,
4,4,4,4,8,4,4,4,1,1,1,1,1,1,2,2,1,2,2,2,2,4,4,4,2,2,4,4,1,1,1,2,2,1],[1,3,8,8,
1,14,4,12,16,2,2,5,8,2,4,4,12,8,4,4,8,1,1,1,4,4,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,
1,1,1,1],[1,3,24,16,1,14,4,4,16,24,16,32,2,2,5,8,2,4,4,2,4,4,12,6,2,12,4,6,4,
8,8,4,4,12,8,8,8,1,1,1,4,4,2,2,2,2,4,4,2,4,4,2,6,2,4,6,2,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,
1,1,2,2,2,2,2,2,1],[1,7,24,7,1,7,12,8,56,1,3,5,4,14,4,16,4,4,4,8,4,4,4,4,8,8,
2,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,8,8,1,4,10,4,12,16,2,6,5,4,4,6,12,8,4,4,8,1,
1,1,4,4,2,4,6,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,40,8,7,3,13,20,20,12,72,32,
64,1,2,5,7,4,4,18,4,4,10,16,8,8,8,8,20,4,8,12,4,8,12,4,16,8,16,24,24,16,8,16,
8,32,32,48,1,2,1,1,2,2,2,1,1,2,3,3,6,4,4,4,2,4,4,4,4,4,2,6,2,6,2,4,12,12,8,8,
12,4,8,4,4,12,4,12,8,8,12,8,8,8,4,8,4,8,8,16,16,1,1,1,1,1,1,2,2,1,2,1,4,2,2,2,
3,2,2,3,2,1,4,1,3,2,2,4,2,2,4,2,6,6,6,2,2,6,4,6,6,4,2,4,8,8,6,2,4,2,6,2,1,1,1,
1,2,1,1,1,2,2,2,2,2,2,2,2,4,2,1],[1,3,16,16,1,10,8,12,16,16,16,16,32,2,5,4,4,
4,4,4,10,8,6,4,8,4,4,8,8,16,16,8,32,1,1,1,2,2,2,2,2,4,2,2,4,4,4,2,8,4,4,4,4,4,
8,8,1,2,1,2,2,1,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,3,8,1,2,12,4,4,2,2,3,8,2,2,4,4,
12,4,4,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,24,8,1,2,12,
4,8,4,24,32,2,2,3,8,2,2,4,4,8,6,4,4,12,2,6,4,4,2,4,4,8,4,8,12,8,8,8,1,1,1,4,2,
2,4,2,2,4,4,6,4,4,2,2,4,2,4,2,4,2,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,
1,1,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,7,8,
7,5,11,4,8,8,1,1,3,11,9,4,2,2,2,4,4,4,4,4,4,8,8,8,1,1,3,3,1,2,2,2,2,2,4,2,2,2,
2,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,7,40,8,7,5,11,
20,4,12,72,32,64,1,2,2,10,7,5,8,8,18,8,12,2,16,8,28,4,2,16,4,20,2,4,4,4,16,4,
8,8,4,8,8,8,16,8,32,16,2,1,2,1,1,2,1,1,8,4,4,4,2,4,1,2,4,6,2,2,4,1,8,2,8,2,4,
16,4,4,2,2,4,4,2,4,2,16,2,2,8,4,8,2,4,2,4,2,2,8,4,2,2,12,4,4,8,16,8,8,8,4,4,4,
4,8,8,4,4,4,4,8,4,4,8,4,4,4,4,16,16,1,1,1,2,1,1,4,1,2,1,2,1,2,2,1,1,1,2,2,4,2,
2,2,2,2,2,2,2,2,4,2,8,2,2,2,2,4,2,4,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,7,8,7,5,11,4,8,8,1,1,3,
11,9,4,2,2,2,4,4,4,4,4,4,8,1,1,3,3,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,2,2,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,3,8,1,2,8,8,4,2,3,4,2,
4,4,6,2,4,4,20,8,1,1,1,4,2,4,4,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,24,1,2,
12,12,12,16,2,2,3,8,4,6,4,6,4,4,12,4,4,8,8,8,8,8,1,2,1,2,1,4,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,3,
24,8,1,14,12,8,12,16,32,2,2,5,8,4,2,4,4,12,4,8,12,4,8,8,8,16,16,1,1,1,2,2,4,2,
2,2,4,2,2,2,4,4,4,4,4,8,4,4,4,4,4,4,1,1,1,2,2,2,2,2,4,2,2,4,2,2,2,1,1,1,1,1,1,
1,1],[1,7,16,8,7,1,11,8,4,12,16,32,1,2,3,7,4,4,2,4,16,4,4,4,4,8,12,12,4,8,4,
16,8,1,1,1,1,1,3,2,2,4,4,1,2,2,2,4,2,6,4,2,4,4,2,4,4,4,4,4,1,1,1,1,2,1,1,2,2,
1,1,3,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,8,1,10,12,24,16,2,5,4,4,2,2,12,4,8,
12,8,1,1,1,4,4,6,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,7,16,8,7,1,11,8,4,12,
16,32,1,2,3,7,4,4,2,4,8,16,4,4,4,4,8,4,12,4,8,4,16,8,1,1,1,1,1,3,2,4,2,4,4,1,
2,2,2,2,4,2,4,2,4,2,4,4,4,4,4,4,1,1,1,2,1,2,2,1,1,1,2,1,1,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,7,8,16,7,1,7,4,16,24,24,8,16,1,4,3,5,2,12,12,8,4,4,4,12,16,4,4,4,8,
8,16,1,1,3,1,1,3,4,3,2,4,2,6,4,2,4,4,4,2,2,2,4,4,4,4,4,1,1,2,1,1,1,1,2,1,2,2,
2,2,2,2,4,1,1,1,2,2,1],[1,7,24,7,3,5,12,8,56,1,1,3,5,3,4,14,2,2,4,16,4,4,2,4,
4,2,4,12,8,2,1,1,1,2,1,2,2,2,2,2,2,2,1,2,6,2,4,6,4,6,4,2,4,4,4,4,4,4,4,4,1,1,
1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,3,8,1,6,12,16,4,2,6,
6,3,4,6,4,8,4,14,2,4,4,4,8,8,1,2,2,3,3,6,6,2,12,2,4,4,4,4,4,4,8,8,3,1,1,6,6,2,
2,2,4,4,1,1,1,2,2,1],[1,3,32,8,1,10,8,8,12,40,32,2,5,4,4,4,4,6,6,8,12,8,4,20,
8,16,16,1,1,1,2,2,2,2,2,4,2,4,4,6,8,6,4,8,4,4,8,4,8,8,1,1,2,2,2,3,2,4,4,4,4,2,
1,1,1,2,2,1],[1,15,40,35,5,15,20,120,32,15,1,3,15,15,20,4,30,6,6,40,8,12,12,2,
60,12,2,12,12,16,4,24,1,1,5,1,1,5,2,3,3,3,6,1,6,30,6,30,6,1,6,2,2,12,2,12,2,
12,12,2,12,24,24,4,4,4,4,4,4,4,4,1,5,2,3,3,3,4,1,6,1,1,6,1,1,1,2,2,2,2,2,2,2,
2,2,2,12,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,16,7,3,9,8,8,16,1,5,5,4,4,4,
4,4,4,4,12,4,4,4,4,8,12,4,8,8,1,1,1,1,1,1,2,2,2,2,2,2,2,1,2,4,2,4,6,2,4,4,4,2,
4,4,4,4,4,1,1,1,1,1,1,2,2,1,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,8,8,7,3,13,
4,4,12,8,1,2,9,11,4,2,2,4,8,4,4,4,4,4,4,8,16,1,1,3,1,3,1,1,2,2,2,2,8,4,4,8,8,
4,4,4,4,4,4,1,1,1,2,4,2,2,2,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,7,8,8,7,3,
5,4,12,12,8,1,2,5,3,4,2,6,4,4,8,4,8,4,8,4,8,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,3,1,
4,2,2,4,2,4,4,2,2,4,2,2,4,4,4,4,4,4,1,1,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,7,32,7,3,17,16,8,32,32,1,4,5,9,4,16,8,12,4,8,12,4,4,28,36,4,4,24,8,4,
4,8,8,3,1,1,1,3,4,12,4,1,2,2,2,6,6,2,2,1,12,8,4,2,2,4,2,2,24,4,12,4,24,2,12,4,
4,4,24,4,4,4,4,4,4,4,1,6,3,1,4,1,1,1,2,1,2,1,1,6,2,2,2,2,2,2,2,2,2,2,2,12,2,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,16,8,1,2,16,8,8,12,8,2,2,2,5,8,2,2,4,4,8,
4,4,16,4,4,4,4,4,4,4,4,8,1,1,1,1,1,4,1,4,2,2,4,2,3,2,4,2,2,2,4,4,4,6,4,2,4,4,
4,4,1,1,1,2,1,2,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,24,8,7,1,7,12,
20,12,56,1,2,3,5,4,14,10,16,4,4,2,8,4,4,2,4,4,4,4,4,8,4,16,8,16,2,1,1,1,1,1,2,
1,2,2,4,2,4,4,2,4,1,2,4,2,4,4,2,2,4,4,2,4,4,4,2,4,4,4,4,4,4,4,4,4,2,1,1,1,2,1,
1,2,4,4,2,2,2,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,1],[1,7,24,8,7,1,7,12,4,12,
56,1,2,3,5,4,14,2,16,4,4,6,8,4,4,6,4,4,4,4,4,8,4,8,2,1,1,1,1,1,2,3,2,2,2,2,3,
2,2,4,4,6,2,4,4,2,4,4,6,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,3,2,2,2,2,
2,4,2,4,2,2,2,4,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,8,1,2,8,8,4,
2,3,4,2,4,4,8,6,2,4,4,12,8,1,1,1,4,4,2,4,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[
1,7,32,7,7,13,16,8,32,32,1,2,10,9,5,12,8,8,8,12,4,8,28,4,20,20,4,4,4,16,8,4,4,
8,8,1,2,1,1,2,1,1,8,4,4,4,1,2,6,6,2,2,2,1,4,2,8,8,16,2,4,2,4,4,16,2,8,2,8,4,4,
8,2,12,4,4,16,8,4,4,4,4,4,4,4,4,1,1,1,1,2,1,4,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,8,2,2,2,4,4,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,40,7,3,13,20,8,104,1,
9,11,4,26,4,32,4,24,2,8,4,2,24,4,4,16,48,16,1,4,1,3,3,1,12,1,12,2,2,2,2,4,2,1,
4,2,2,2,4,24,2,4,24,4,2,4,4,4,4,4,1,2,1,1,6,2,1,6,1,2,2,2,4,4,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,15,8,8,35,1,3,4,12,12,24,16,15,2,3,3,4,6,6,8,12,4,4,4,4,
24,8,16,8,1,1,1,1,1,6,2,6,6,2,2,6,4,4,4,4,4,4,4,4,4,4,1,2,1,1,2,2,2,2,2,2,4,2,
2,2,1,1,1,2,2,1],[1,3,8,12,1,5,9,4,14,10,8,8,8,1,1,3,5,2,2,5,2,2,4,2,2,6,4,2,
2,10,2,2,4,6,8,6,8,4,4,4,4,1,1,2,1,1,2,2,1,5,3,2,2,2,2,2,2,2,2,4,2,2,1,2,1,2,
4,2,1,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,1,2,2,1,1,1,1,1,2,1,1,1,2,2,1,1,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,24,20,1,3,3,12,16,10,22,24,8,8,48,3,3,6,
6,6,3,2,12,2,6,2,6,2,2,10,6,2,4,6,6,12,12,12,24,4,24,4,24,16,16,1,1,3,3,3,3,3,
2,2,2,6,6,2,2,6,2,2,1,1,2,1,1,2,2,12,12,2,2,2,2,2,12,2,2,2,2,2,12,2,2,4,4,4,4,
1,2,3,3,6,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,40,7,
3,13,20,8,56,80,1,1,3,3,5,6,4,14,12,12,4,8,20,16,18,2,26,18,2,4,24,24,4,4,8,
12,4,16,1,1,2,3,3,1,3,1,3,1,3,3,1,3,3,5,2,2,1,3,1,3,6,2,9,4,2,2,2,2,6,2,15,2,
9,2,15,2,6,4,6,4,2,4,24,24,4,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,3,1,1,1,1,1,1,
1,1,3,3,6,1,1,2,1,1,1,2,1,2,2,3,1,1,1,1,1,3,1,3,6,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,3,16,8,1,2,8,8,16,4,16,2,3,4,6,4,4,4,4,4,4,6,4,4,
2,4,4,4,4,8,4,4,8,8,1,1,1,1,1,2,2,2,1,1,2,2,4,2,2,4,4,2,4,4,4,4,4,4,4,4,4,4,4,
1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,40,8,7,5,11,20,4,12,
56,80,32,1,1,2,3,5,3,10,4,14,12,12,2,8,20,16,18,4,2,22,18,2,4,24,4,24,8,4,4,8,
4,4,12,8,12,16,8,8,1,2,3,1,1,3,3,1,3,1,3,1,2,1,2,5,3,3,2,2,1,3,1,3,2,6,9,6,2,
2,2,6,2,2,15,9,2,15,2,6,2,6,2,24,24,4,2,2,4,2,2,2,4,2,2,4,2,2,2,2,8,8,8,8,1,1,
1,1,1,1,3,1,1,1,1,1,2,1,3,3,1,6,1,2,2,1,1,1,2,1,1,3,1,1,1,1,2,1,3,1,3,6,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,24,20,1,3,3,12,16,10,22,24,
8,32,8,48,1,3,3,3,6,3,2,12,2,4,8,6,2,6,2,2,10,6,2,16,4,6,12,6,12,12,12,12,12,
24,4,24,4,16,16,1,1,1,2,3,3,3,3,2,2,6,6,2,2,6,6,2,2,1,6,1,2,1,2,1,2,2,12,2,2,
12,2,2,2,12,2,2,2,12,2,2,12,2,2,4,4,4,4,4,4,24,4,24,4,3,3,3,4,1,1,1,6,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,32,
8,1,2,8,8,8,4,32,16,32,1,1,3,2,2,2,4,2,4,4,4,6,4,2,4,2,4,6,12,8,2,4,4,4,4,8,
12,4,4,4,8,8,1,1,1,2,1,1,1,1,3,2,2,3,2,3,1,2,3,2,2,1,2,1,2,6,4,4,2,1,2,4,2,2,
4,2,2,6,4,2,2,4,4,4,6,2,2,2,2,2,2,2,4,4,2,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,
1,2,2,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,3,24,12,1,1,5,12,14,10,24,8,8,32,1,1,2,6,2,2,5,2,2,4,2,2,
2,2,2,6,2,8,2,4,6,4,6,12,8,4,8,16,4,8,4,16,1,1,2,2,2,1,1,1,3,1,2,2,2,2,4,4,2,
2,2,2,2,2,2,1,1,2,2,2,1,1,2,2,4,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,4,4,4,4,1,2,1,1,
2,1,2,2,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,16,12,
7,4,8,26,18,32,8,8,16,1,3,2,8,13,2,8,2,4,8,8,12,6,6,8,4,8,4,24,4,8,16,1,1,1,2,
1,2,1,2,5,2,2,3,2,10,6,4,2,2,6,2,6,4,4,4,4,1,1,3,2,1,2,1,2,2,1,2,2,3,2,2,2,2,
1,1,1,1,1,1,1,1],[1,15,20,35,16,30,30,8,8,15,5,15,2,12,2,12,60,6,6,4,4,16,1,1,
3,3,9,15,15,2,6,2,6,4,4,4,4,5,3,1,9,1,1,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,1,
10,8,4,8,16,3,2,2,4,2,4,4,4,8,4,4,10,4,8,1,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,
2,2,1,1,1,1],[1,3,16,24,1,2,8,8,16,8,28,16,16,16,48,4,2,3,4,2,12,4,4,8,4,2,4,
4,14,4,8,4,4,8,12,12,12,24,16,8,16,16,1,3,1,1,2,3,1,2,3,2,6,2,4,2,4,2,2,2,4,8,
4,4,4,4,8,8,8,4,4,4,4,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
15,16,12,35,2,6,8,18,18,48,8,8,16,15,3,6,6,8,12,9,2,16,2,24,36,6,4,6,4,4,4,4,
4,8,4,4,8,16,1,2,2,1,12,1,12,9,1,1,9,2,2,2,2,2,2,2,6,2,6,8,4,4,4,8,4,2,3,1,1,
1,1,2,2,1,2,2,2,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,8,1,2,8,8,12,8,16,16,2,2,1,
2,2,4,4,4,8,10,4,12,8,8,8,1,1,1,4,4,2,4,4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,
3,32,16,1,4,6,8,4,16,32,16,16,32,1,2,1,2,1,2,2,2,4,4,4,4,6,8,4,2,4,2,4,2,4,8,
6,4,8,4,4,4,12,4,12,12,8,8,1,1,1,2,1,1,1,1,1,2,2,4,1,2,1,3,2,4,1,2,2,4,3,2,3,
2,2,2,3,2,4,2,2,4,6,2,2,4,2,6,4,4,4,2,2,4,2,2,2,2,2,2,4,2,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,2,1,2,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,32,8,1,4,6,8,8,12,40,1,2,3,4,1,4,2,2,4,
4,12,2,4,2,4,8,4,4,8,8,12,8,12,12,8,8,1,1,1,1,1,2,2,2,2,2,4,6,2,4,2,4,2,2,4,4,
2,2,2,4,4,4,8,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
7,16,20,7,2,2,8,16,22,30,32,8,8,32,1,5,2,4,8,11,2,12,8,2,4,4,4,20,6,4,6,4,4,8,
8,8,16,4,32,4,8,16,1,1,2,3,2,2,3,1,1,2,5,4,2,8,2,8,8,2,6,2,8,6,4,8,4,4,8,4,1,
1,2,3,1,2,1,2,2,1,2,2,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,32,8,35,24,15,16,2,40,
8,1,6,8,2,2,1],[1,3,12,20,20,1,16,18,12,12,3,12,16,4,1,5,4,4,16,16,1,3,3,4,4,
1,1,1,1,1],[1,3,18,18,8,5,1,3,3,9,9,18,36,5,3,3,24,18,18,3,3,9,9,9,9,9,4,1,2,
1,3,3,3,3,3,3,18,6,9,4,8,1,1,3,3,3,3,3,3,6,3,3,1,4,3,3,1,1,1,1],[1,15,20,35,
30,30,16,15,5,15,60,16,1,15,15,5,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,
7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,
7,7,8,7,7,1],[1,15,11,20,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,3,24,64,1,18,
32,36,6,9,12,24,36,16,128,2,3,3,9,18,6,9,8,12,1,1],[1,15,12,64,35,16,18,18,15,
3,9,12,12,36,80,64,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,24,16,1,18,32,36,48,6,
9,12,24,36,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,3,24,16,1,18,32,36,48,6,9,
12,24,36,4,16,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,15,12,16,35,16,18,18,48,15,3,
9,12,12,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,16,18,18,48,
15,3,9,12,12,36,4,16,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,35,16,
18,18,48,15,3,9,12,12,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,7,
16,7,3,9,24,16,1,9,9,12,6,6,4,16,1,3,3,3,6,6,6,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,
32,16,7,3,9,16,96,16,32,1,9,9,24,32,24,24,48,4,16,1,4,3,3,12,12,24,24,4,8,1,2,
6,6,1,4,1,1,2,1],[1,7,12,16,7,6,6,24,12,8,16,1,1,3,1,3,3,12,2,6,12,6,12,3,6,4,
8,16,3,3,3,6,3,3,6,6,3,6,3,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,24,
12,16,7,6,6,12,6,18,24,8,16,16,16,1,3,6,12,6,3,2,2,12,12,6,6,12,12,12,12,4,8,
16,6,3,3,3,6,6,6,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,24,16,7,1,3,12,
36,32,16,1,6,3,3,6,8,8,12,12,12,12,24,24,24,4,8,16,1,3,3,6,6,8,8,12,12,12,12,
24,24,24,4,8,8,3,4,6,6,12,4,8,8,1,1,1],[1,7,24,16,7,9,15,12,24,16,16,16,1,3,9,
15,9,12,6,6,6,12,6,12,12,6,4,16,1,3,3,3,3,3,6,6,6,3,6,6,12,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,15,24,16,35,3,9,12,72,32,48,15,1,3,9,9,12,4,18,6,6,24,8,
12,36,12,12,16,4,16,8,1,3,1,1,3,2,3,3,18,6,18,6,6,12,12,12,24,24,4,12,4,8,16,
3,3,3,4,6,12,4,4,4,8,1,1,1],[1,7,36,16,7,18,18,36,8,32,16,1,1,9,1,9,3,2,36,6,
6,3,6,36,4,8,16,3,9,9,3,3,3,3,6,6,6,6,6,4,4,8,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[
1,7,24,12,16,7,12,12,6,18,24,8,24,48,32,16,1,3,6,6,3,2,2,24,12,6,6,12,24,12,
48,4,8,16,3,3,6,3,6,6,6,6,12,12,4,8,8,8,16,1,3,3,6,6,4,8,3,1,1],[1,7,24,16,7,
1,15,12,24,32,16,1,4,3,9,16,6,12,8,12,24,36,24,4,8,16,3,1,3,4,12,4,6,6,12,8,
24,12,24,12,24,4,4,4,8,6,3,4,6,12,4,4,4,8,1,1,1],[1,7,32,16,7,3,9,16,48,80,16,
32,1,1,3,3,3,6,4,12,12,12,8,20,16,18,18,18,24,24,4,8,16,1,2,3,3,3,1,3,1,3,3,3,
3,3,3,6,9,6,15,9,15,6,6,24,24,4,4,4,8,8,16,1,3,3,3,6,3,3,3,6,4,4,4,8,1,1,1],[
1,7,8,12,16,7,4,18,18,24,8,16,32,1,3,6,9,2,8,2,12,6,6,24,4,8,16,1,3,3,6,6,6,6,
4,8,8,8,1,3,3,4,1,1,1],[1,7,24,16,7,3,21,12,24,32,16,1,9,15,12,6,12,24,12,12,
12,4,16,1,3,3,3,3,6,6,6,6,6,12,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,7,36,16,7,6,
12,18,36,8,16,16,16,1,1,6,3,12,1,9,3,2,12,6,24,6,12,3,6,12,4,8,16,3,3,3,6,6,3,
3,3,3,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,36,16,7,48,18,54,
8,24,16,32,1,9,9,2,36,2,36,6,6,12,48,4,8,16,3,9,9,6,6,6,12,12,4,8,8,8,16,3,1,
3,6,6,4,8,3,1,1],[1,7,24,16,7,3,9,12,36,16,32,1,6,9,9,6,12,12,12,12,24,12,4,
16,1,3,3,3,3,6,6,6,12,12,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,7,16,7,7,21,16,1,
21,21,4,16,7,7,21,4,7,1,4,1,1,1],[1,15,12,16,35,18,18,8,48,15,3,9,2,2,36,6,6,
4,16,8,1,9,9,6,6,12,8,8,3,1,3,4,1,1,1],[1,7,12,16,7,30,18,8,16,1,3,15,2,2,12,
12,6,6,12,4,8,16,3,3,6,6,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,15,24,16,
35,3,9,12,72,48,15,9,9,12,18,24,12,36,12,24,4,16,1,1,3,3,3,6,6,18,18,12,12,12,
1,3,2,3,6,1,4,1,1,2,1],[1,3,16,1,6,12,12,48,2,6,6,3,4,6,8,12,16,1,2,2,3,3,6,6,
12,4,8,8,3,6,6,8,4,8,1,1],[1,7,12,24,16,7,6,6,12,36,12,8,16,32,1,1,6,3,1,3,3,
6,2,12,6,6,3,12,24,6,24,4,8,16,3,3,3,3,3,6,6,6,3,6,3,6,6,6,4,4,4,8,8,1,3,3,3,
3,3,3,4,4,4,3,1,1],[1,3,40,16,1,6,16,12,36,48,24,32,16,4,3,12,12,12,6,18,12,
24,12,12,48,4,16,16,1,3,3,6,12,12,6,12,12,12,4,8,16,1,3,3,6,6,1,4,3,1,2,1],[1,
7,36,16,7,16,18,54,24,24,16,32,1,9,9,6,12,6,36,18,18,12,48,4,16,16,1,3,9,6,18,
18,12,12,4,8,16,1,3,3,6,6,1,4,3,1,2,1],[1,7,12,16,7,16,30,18,16,1,3,15,12,12,
12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,3,24,12,16,1,3,3,12,16,6,18,24,48,
48,3,3,6,6,6,3,12,6,6,6,6,12,12,12,24,24,24,4,16,1,1,3,3,3,3,3,6,6,6,12,12,12,
12,12,1,2,3,3,6,1,4,1,1,2,1],[1,3,28,12,16,1,12,6,6,6,24,48,16,16,16,3,3,3,4,
6,6,6,6,3,12,3,6,12,6,12,12,12,12,4,16,1,3,3,3,6,3,6,6,6,6,6,6,6,6,12,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,28,16,35,42,42,24,32,16,15,7,21,6,6,84,18,18,
20,16,1,21,21,18,18,4,24,7,3,9,1,4,3,2,1,1],[1,3,16,16,1,6,16,24,24,16,4,3,12,
12,12,12,4,16,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,28,12,16,1,6,6,6,6,6,24,48,
16,16,16,3,3,6,3,4,6,6,6,3,12,3,6,6,12,12,12,12,12,4,16,1,3,3,6,3,3,6,6,6,6,6,
6,6,6,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,30,16,3,4,3,15,6,24,8,12,
12,16,32,1,1,6,1,3,6,3,6,2,6,6,3,3,6,6,6,6,24,24,4,8,16,3,3,6,3,6,3,3,3,3,6,6,
6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,3,24,16,1,6,12,12,24,32,48,3,4,
6,6,8,8,16,12,24,16,8,1,2,2,3,3,6,6,6,6,4,8,8,16,3,6,6,4,8,8,1,1],[1,15,4,16,
35,6,6,24,16,15,1,3,12,12,12,20,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,36,16,7,
18,18,36,24,32,16,1,3,9,3,9,9,6,36,18,6,9,6,12,4,16,1,3,9,9,3,3,9,18,6,6,6,6,
4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,24,12,16,1,3,3,12,16,6,18,24,32,48,48,1,
3,3,3,6,3,12,4,8,6,6,6,6,16,12,12,12,12,12,12,24,24,4,16,8,1,1,1,2,3,3,3,3,6,
6,6,6,6,12,12,12,12,12,24,24,4,8,4,12,16,3,3,3,4,6,12,4,4,4,8,1,1,1],[1,1,12,
6,16,3,4,15,3,6,8,12,12,16,1,6,1,1,6,3,6,3,2,6,6,3,3,6,6,6,6,4,8,16,6,3,3,3,6,
3,3,3,3,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,16,7,1,3,16,1,3,3,
12,4,16,1,6,6,6,4,3,4,1,1],[1,7,36,16,7,6,12,18,36,24,16,16,16,1,3,6,3,12,3,9,
3,6,6,12,6,24,6,9,6,12,4,16,1,3,3,6,3,3,6,3,3,6,12,6,6,6,6,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,28,16,1,3,3,18,18,24,32,16,1,3,3,6,6,6,6,18,6,12,18,
18,12,4,16,1,3,3,6,6,6,3,3,6,6,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,16,1,
3,3,6,6,24,16,1,3,3,6,6,6,6,12,4,16,1,3,3,6,3,3,6,6,6,6,4,1,3,3,1,4,3,1,1],[1,
3,32,12,4,1,4,6,4,6,6,36,48,4,12,12,8,8,6,3,4,4,6,6,12,3,6,3,3,6,3,6,6,6,12,
12,12,12,4,4,4,4,12,12,4,8,8,1,4,4,6,3,6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[
1,15,32,12,4,35,4,12,16,18,18,96,48,4,12,12,8,8,15,3,12,12,16,24,9,32,48,36,
12,12,12,12,12,12,24,24,1,4,4,4,4,12,12,4,8,8,1,4,4,3,24,3,24,9,3,3,9,6,6,6,6,
6,6,24,24,1,3,3,4,2,2,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,1,3,3,1,1,2,2,4,3,1,1,
1,1,1,1,1,1],[1,3,32,12,4,1,4,6,4,6,6,36,48,4,12,12,8,8,1,6,3,1,3,3,6,9,6,3,3,
3,3,3,6,3,3,6,6,6,6,6,6,6,12,12,4,4,4,4,12,12,4,8,8,1,3,1,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,3,6,3,6,3,3,3,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,16,35,16,15,20,16,1,
1,1,1],[1,15,72,24,35,9,27,36,32,36,36,216,96,288,15,3,6,9,27,27,36,12,54,18,
18,18,24,72,24,24,36,36,108,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,
144,144,144,1,2,3,9,3,3,9,6,6,6,9,9,9,9,9,18,18,18,18,54,18,18,18,54,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,
72,72,72,72,72,72,72,72,72,144,144,144,144,3,9,6,6,6,6,6,9,9,9,9,9,9,9,9,9,12,
12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
72,72,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,36,36,3,6,9,9,18,18,1],[1,7,24,24,7,7,33,12,32,12,36,24,
96,1,6,21,27,12,6,6,24,12,24,12,12,12,12,12,36,24,24,24,24,24,24,48,48,2,9,3,
7,9,21,3,3,6,6,6,6,18,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
7,6,2,2,3,3,9,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,1,1,3,
3,3,6,6,6,6,6,6,6,6,1,3,3,1],[1,7,56,24,7,3,21,28,32,12,36,120,96,1,6,9,15,12,
30,6,24,32,12,24,12,24,12,12,12,12,12,24,12,36,24,72,24,24,24,48,48,2,3,4,3,3,
9,3,3,3,18,6,6,12,6,6,18,6,6,6,6,6,12,12,12,12,12,12,24,12,12,24,12,12,12,24,
24,24,24,24,24,24,24,24,24,24,24,1,6,2,2,2,3,3,9,6,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,1,1,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,1,2,3,3,6,1],[1,7,24,24,7,7,33,12,12,36,24,32,32,1,4,6,21,27,16,6,12,
6,8,8,8,12,24,12,36,12,12,24,12,24,24,24,24,24,24,7,3,7,3,21,3,3,4,12,4,6,12,
6,6,12,6,8,8,8,12,12,12,12,12,24,12,12,12,12,24,12,12,12,24,24,24,24,24,24,24,
24,7,3,6,3,3,3,3,3,4,4,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,3,3,3,6,1],[1,7,24,8,7,3,21,12,4,12,
24,32,32,1,4,2,9,15,16,6,12,2,8,12,24,4,36,4,4,24,4,8,24,8,8,16,1,3,3,1,3,1,3,
4,12,4,6,4,6,2,12,2,8,4,12,4,4,12,24,12,4,12,24,4,12,8,24,8,8,8,8,8,8,1,1,6,3,
1,1,1,1,4,6,2,2,6,4,4,4,4,4,4,4,8,12,4,4,4,4,8,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,4,1],[1,7,40,24,7,3,29,20,32,12,36,40,32,96,1,4,6,9,19,24,10,12,6,24,8,
20,40,12,44,8,12,12,32,36,24,16,24,24,24,24,48,48,2,3,5,3,9,3,3,5,4,12,4,6,6,
6,10,18,10,6,6,12,4,6,8,12,4,12,12,12,8,8,12,24,12,8,12,4,32,12,20,8,24,24,16,
8,16,8,8,24,8,8,24,24,8,8,1,6,2,2,3,6,5,9,3,2,3,3,4,6,6,6,6,4,6,2,2,6,6,4,4,6,
6,4,4,12,4,12,4,4,12,4,4,4,12,8,12,4,12,8,4,12,8,8,8,8,8,1,1,2,2,3,1,3,1,1,6,
2,6,6,2,2,2,4,2,4,6,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,15,72,8,35,9,27,
36,12,12,216,224,64,15,7,2,21,27,27,36,28,54,42,42,6,72,56,64,84,12,4,108,4,
84,4,4,4,12,84,4,112,24,16,8,16,24,16,16,16,16,32,16,32,1,1,9,7,7,9,8,14,1,3,
21,1,21,28,28,28,28,6,4,2,6,54,42,2,4,54,6,4,4,2,2,42,2,42,6,56,4,4,84,8,8,4,
4,4,4,4,4,8,4,4,84,4,4,84,8,12,84,4,4,4,84,4,8,4,84,12,8,4,4,84,8,8,8,168,168,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,32,32,16,16,7,1,9,2,2,1,1,21,21,1,21,
3,1,1,1,1,1,28,28,2,2,2,2,4,2,2,2,42,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,
42,42,2,56,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,84,4,4,4,4,4,4,
4,4,4,8,84,4,84,84,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,1,7,7,1,1,1,1,1,1,1,1,1,1,21,1,28,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,7,56,8,7,3,21,28,20,12,120,32,1,4,2,9,15,16,
30,12,10,32,8,12,24,8,24,4,36,8,4,4,24,24,4,8,8,32,48,8,8,32,1,4,3,3,1,3,1,3,
4,12,4,12,4,12,6,4,4,6,4,8,2,4,12,4,2,8,4,8,4,4,4,8,4,8,24,24,4,12,4,4,24,24,
12,8,4,12,8,24,8,8,8,8,8,16,8,8,8,16,16,16,1,2,2,1,6,3,1,6,2,1,2,1,1,4,4,4,2,
2,6,4,4,2,6,2,2,8,8,8,8,4,8,8,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,12,4,4,4,4,16,
8,8,8,1,1,1,1,1,1,2,1,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,1,1,
2,1,2,2,2,2,2,1],[1,7,8,8,7,3,13,4,20,12,8,1,2,9,11,4,2,10,4,12,8,4,4,20,4,4,
4,4,8,8,8,8,1,1,3,1,3,1,1,6,2,4,4,2,4,2,4,10,2,4,4,4,12,4,4,4,4,4,12,4,4,8,8,
8,1,2,1,1,1,1,2,1,1,6,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,
1],[1,7,8,8,7,7,25,4,4,12,8,32,1,2,21,23,4,2,2,4,8,4,4,8,4,4,4,4,8,16,8,8,16,
7,1,7,1,21,1,1,2,4,2,2,4,2,4,4,4,4,8,4,4,4,4,4,8,8,8,8,8,7,1,1,1,1,2,1,1,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,15,40,8,35,5,15,
20,12,12,120,32,32,64,15,1,2,3,15,15,20,4,30,6,6,6,40,8,12,12,60,4,12,4,4,12,
12,4,16,24,16,16,24,16,16,16,16,32,16,16,16,32,1,1,5,1,1,5,2,1,3,3,1,3,6,4,6,
30,6,2,4,30,6,4,4,2,2,6,6,6,4,8,8,4,4,4,8,4,12,8,12,4,8,12,12,8,12,8,24,24,8,
8,8,8,8,8,8,8,8,8,8,8,32,32,16,16,1,5,2,2,1,1,3,1,3,3,1,1,1,4,2,4,2,2,2,6,2,2,
2,2,2,2,6,2,4,2,2,4,4,8,4,4,8,4,4,4,4,4,8,8,4,4,4,4,4,4,8,12,4,4,4,4,8,8,8,16,
1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,7,40,8,7,11,
21,20,20,12,40,32,1,4,2,16,17,11,16,8,10,12,16,10,8,8,36,8,4,24,12,28,12,12,
12,8,16,4,8,24,8,8,8,24,16,16,16,16,1,1,4,3,2,2,1,5,4,3,1,8,4,4,4,2,2,4,4,8,
10,8,4,2,4,10,2,6,6,8,6,12,2,8,4,8,16,8,4,12,8,4,4,12,12,4,4,24,4,4,8,8,8,4,8,
4,4,4,16,8,8,4,4,12,8,8,16,8,8,8,8,8,16,8,8,8,8,8,8,1,1,2,2,3,1,1,1,4,1,1,3,1,
1,4,2,2,2,6,2,2,2,2,4,6,4,8,4,2,6,2,2,2,2,2,2,2,2,2,2,4,6,4,4,4,4,4,4,4,4,4,4,
8,4,4,8,4,4,4,4,8,4,4,8,8,4,4,4,4,4,4,4,4,8,4,8,8,8,8,1,1,3,1,1,1,1,1,1,2,3,1,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
7,56,8,7,7,17,28,20,12,120,1,2,2,6,13,11,8,4,30,4,4,10,32,8,12,32,4,16,12,12,
4,12,12,32,4,4,8,24,16,8,56,24,16,16,16,16,1,4,1,2,3,2,2,1,5,2,3,1,14,2,16,4,
4,6,8,4,2,4,10,2,6,6,4,2,4,2,8,8,4,8,8,4,4,12,4,4,8,8,8,24,8,16,8,4,24,8,4,4,
8,8,8,8,8,16,8,8,16,8,8,16,8,16,16,8,8,1,2,2,2,3,1,1,2,6,1,1,1,6,2,2,4,4,6,6,
4,8,4,2,2,2,2,2,2,2,2,4,2,4,4,4,4,8,8,4,8,4,4,4,8,4,4,4,4,8,4,8,4,4,4,8,4,8,4,
8,8,8,4,4,8,8,8,16,1,1,1,2,1,1,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,2,2,4,4,8,4,4,8,
4,1,2,1,1,2,2,2,4,1],[1,7,24,24,7,3,21,12,32,28,36,24,96,1,6,9,15,12,6,14,24,
12,4,24,12,12,4,12,12,12,36,24,24,24,24,24,48,16,48,2,3,3,3,9,3,3,3,6,6,2,6,6,
4,18,6,4,6,10,2,6,12,12,12,12,4,12,4,12,12,12,4,4,12,8,24,8,24,24,8,8,24,1,6,
2,2,2,3,3,9,3,3,3,6,6,6,6,6,6,2,6,6,4,4,12,4,12,4,12,4,4,4,12,4,12,4,12,8,8,1,
1,3,1,3,6,6,6,2,6,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,7,24,24,7,7,17,12,28,36,24,
32,1,2,6,6,13,11,8,4,6,4,4,14,8,8,8,12,8,16,20,12,20,20,8,4,12,24,24,24,8,24,
8,8,24,16,16,16,16,16,1,1,2,3,2,2,3,5,2,5,1,2,4,4,4,6,8,4,2,4,10,2,10,6,4,4,6,
8,8,8,8,4,4,8,12,12,12,4,8,4,8,8,12,16,4,4,8,12,4,8,8,8,8,8,8,24,8,16,8,24,8,
8,8,24,16,16,16,16,1,2,2,3,1,1,2,1,1,3,4,2,6,2,2,2,4,2,6,6,4,8,4,2,2,2,2,2,2,
4,6,4,4,4,4,4,4,4,4,4,8,4,12,4,8,4,4,4,4,4,4,4,8,8,4,4,4,8,8,8,8,8,8,8,8,16,1,
1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,15,72,8,35,9,27,36,12,12,216,32,64,15,1,2,3,27,27,36,4,54,6,6,6,72,8,12,
84,4,108,4,12,4,4,4,84,12,4,16,24,16,8,16,168,16,16,16,16,32,16,32,1,7,9,1,1,
9,2,1,21,3,1,3,42,4,2,42,54,6,2,4,54,6,4,4,2,2,6,2,6,6,4,8,8,4,4,4,4,8,4,4,12,
4,8,84,4,8,4,12,84,8,4,12,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,32,32,
16,16,7,9,2,14,14,1,1,3,1,3,21,1,1,1,4,2,2,4,2,2,2,6,2,2,2,2,42,2,2,2,2,42,2,
2,4,2,2,2,2,2,2,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,4,12,4,4,4,4,4,4,4,4,8,8,8,8,1,7,7,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,15,40,8,
35,5,15,20,12,12,120,32,64,15,1,2,3,15,15,20,4,30,6,6,6,40,8,12,12,8,60,4,12,
8,4,4,12,12,4,16,24,16,16,16,24,16,16,16,16,32,16,32,1,1,5,1,1,5,2,1,3,3,1,3,
6,4,4,6,30,6,2,4,30,6,4,4,2,2,6,4,6,6,4,8,8,8,4,4,4,8,4,8,12,8,8,12,4,8,8,12,
12,8,8,12,16,8,24,24,8,8,8,8,16,16,8,8,16,32,32,16,16,1,5,2,2,1,1,3,1,3,3,2,1,
2,1,1,4,4,2,4,2,2,2,6,2,4,2,4,2,2,2,2,6,4,2,4,2,2,4,4,8,4,8,4,8,4,8,4,8,8,8,4,
4,4,4,4,8,8,12,8,8,4,4,4,16,8,1,1,1,1,1,1,1,1,2,2,1,1,1,2,2,4,2,2,4,4,2,4,2,2,
2,4,2,2,8,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,7,40,8,7,3,13,20,4,12,104,1,2,9,11,4,
26,2,32,4,24,4,8,4,4,12,4,4,24,4,4,8,8,48,8,8,16,1,4,1,3,1,3,1,1,12,2,12,2,4,
2,2,6,2,4,4,4,4,4,24,4,4,24,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,6,1,2,1,
1,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,2,2,1],[1,7,8,24,7,3,13,4,12,36,8,32,1,6,9,11,4,2,6,8,8,4,16,8,12,4,8,
12,12,4,12,24,24,16,24,8,8,1,1,3,3,3,3,1,8,2,4,2,6,4,6,8,8,4,4,12,12,8,8,12,4,
4,4,4,12,8,4,8,8,8,24,8,8,8,24,24,1,1,1,1,2,1,1,3,4,2,2,2,6,4,2,4,6,4,4,4,12,
4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,7,8,8,7,7,
25,4,4,12,8,1,2,21,23,4,2,2,4,8,8,4,4,4,4,4,4,8,16,8,8,16,7,1,7,1,21,1,1,4,2,
4,2,2,2,4,4,4,4,8,4,4,4,4,4,8,8,8,8,8,7,1,1,1,2,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,7,24,8,7,11,29,12,20,12,24,32,1,2,2,
10,25,23,8,8,6,8,12,10,8,28,8,16,4,20,8,4,4,16,4,8,16,8,16,8,8,7,1,2,7,1,21,2,
1,1,8,4,4,4,4,4,6,4,4,2,4,8,2,4,4,4,8,2,8,4,16,4,4,4,4,4,4,8,8,16,4,4,8,8,8,4,
4,4,4,4,12,4,8,4,8,4,4,12,8,16,8,8,8,8,8,1,7,2,1,1,1,1,2,1,1,1,1,1,4,2,2,4,4,
2,4,2,4,4,4,2,4,2,4,2,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,2,1,2,1,2,2,2,2,2,4,4,2,2,2,2,2,4,4,4,4,4,4,4,4,
1,1,1,2,2,2,2,2,2,1],[1,15,40,24,35,5,15,20,36,36,120,32,32,64,15,1,6,3,15,15,
20,4,30,6,6,18,8,40,8,8,12,12,4,60,12,12,4,12,12,12,12,12,16,72,24,16,8,24,16,
24,16,16,16,16,32,48,32,1,1,5,1,1,5,2,3,3,3,3,3,6,4,2,6,30,6,6,4,30,18,4,4,6,
6,6,2,6,18,8,8,4,4,8,8,4,4,12,12,12,4,8,12,4,12,4,4,8,12,4,4,4,12,4,4,8,4,12,
12,8,12,4,4,4,12,8,8,24,24,8,8,8,8,8,8,8,24,8,8,8,8,8,24,8,8,24,32,32,16,16,1,
5,6,2,3,1,3,1,3,3,1,1,3,4,4,2,2,2,4,2,2,6,6,2,2,2,2,2,6,2,2,2,2,6,2,2,2,4,2,6,
6,6,4,8,4,4,4,8,12,4,4,4,4,4,4,4,4,12,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,4,12,12,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,3,1,1,1,1,1,1,3,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,7,8,8,7,3,13,4,20,12,8,1,2,9,11,4,2,10,4,12,8,4,4,4,4,4,4,4,8,24,8,8,
1,1,3,1,3,1,1,6,2,4,4,2,4,2,4,2,2,4,8,4,4,4,12,4,4,8,4,4,4,4,4,8,8,8,1,2,1,1,
1,2,1,1,1,4,2,2,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,7,
24,8,7,7,17,12,4,12,24,32,32,1,2,2,10,13,11,8,8,6,8,12,2,8,28,12,16,4,20,12,4,
4,16,4,8,8,8,16,1,1,2,3,1,3,2,1,1,8,4,4,4,6,4,6,4,2,2,4,6,8,2,8,4,16,4,4,4,4,
4,12,16,4,8,8,4,4,4,4,4,8,4,12,4,12,16,8,8,8,8,1,1,1,1,1,1,2,1,1,1,1,1,4,2,2,
2,2,2,2,6,2,2,2,4,2,4,4,4,4,8,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,
2,2,1,1,1,2,2,1],[1,7,40,8,7,3,13,20,4,12,104,32,1,2,9,11,4,26,2,32,4,24,12,8,
4,4,4,4,4,24,4,4,8,8,48,8,8,16,1,4,1,3,1,3,1,1,12,6,12,2,4,2,2,2,2,4,4,4,4,4,
24,4,4,24,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,6,2,1,1,1,6,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,7,
24,40,7,3,21,12,32,20,60,24,32,32,96,1,10,9,15,12,6,10,8,24,8,12,24,20,12,20,
20,12,44,40,24,8,24,24,24,24,24,48,48,16,64,64,2,3,3,3,11,3,5,3,6,6,6,6,18,6,
10,6,10,8,8,12,4,20,20,12,4,12,12,12,4,12,12,12,12,8,24,8,8,24,8,8,8,24,24,24,
24,24,8,16,16,16,16,1,6,2,2,3,3,9,3,3,5,4,2,6,6,6,6,6,2,2,6,6,6,6,6,4,4,12,4,
12,12,4,12,4,4,4,12,4,12,4,12,8,8,8,8,8,8,8,16,1,1,1,3,3,2,6,2,2,6,6,2,2,2,2,
6,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,7,8,24,7,3,13,4,12,36,8,32,1,6,9,
11,4,2,6,8,8,4,8,12,4,8,12,12,4,12,24,24,32,24,8,8,1,1,3,3,3,3,1,2,4,2,6,4,6,
8,8,4,12,12,12,16,12,4,12,4,4,12,4,8,8,24,8,8,24,8,24,8,1,1,1,1,1,2,1,3,4,2,6,
2,6,2,6,4,4,12,4,4,4,4,4,4,4,8,4,8,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,7,40,8,7,7,25,20,20,12,40,32,1,6,2,6,13,15,8,16,10,16,4,10,8,8,20,8,8,
32,12,44,12,12,8,24,4,8,24,16,8,8,24,16,16,16,16,1,3,2,3,2,2,1,5,2,3,3,4,12,4,
2,4,4,4,4,10,8,4,6,4,10,2,6,6,16,4,2,8,8,8,8,4,4,8,4,4,12,4,8,8,8,24,8,8,12,
16,4,24,8,12,16,8,8,24,8,8,8,8,16,16,8,8,8,8,8,8,1,2,2,3,6,3,1,2,2,1,1,1,4,6,
2,2,4,2,4,2,6,4,8,4,2,2,4,2,4,2,6,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,4,4,4,4,4,
4,8,8,4,4,4,12,4,4,8,8,8,8,8,8,8,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,4,4,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,2,2,1],[1,7,40,24,7,7,25,20,32,12,36,
40,32,96,1,2,6,10,13,15,8,16,10,8,12,6,24,8,36,12,32,12,28,4,12,12,24,36,24,8,
24,24,24,24,48,48,2,3,3,2,3,9,3,2,3,3,8,4,4,4,6,6,6,6,4,10,18,6,6,6,4,2,8,6,8,
4,16,12,4,12,12,4,12,4,16,4,4,8,12,8,4,12,4,4,12,16,12,4,12,20,8,16,8,24,8,8,
8,8,8,24,24,8,24,8,1,1,6,2,2,3,1,3,9,2,3,3,1,3,3,4,6,2,6,6,6,6,6,2,6,2,6,2,2,
2,6,2,2,2,6,2,4,12,4,4,4,12,12,8,4,4,12,4,4,12,4,4,4,4,4,4,12,4,8,8,8,8,1,1,1,
1,3,3,3,1,3,1,1,6,6,6,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,7,24,8,7,3,21,12,4,12,24,32,1,4,2,9,15,16,6,12,2,8,12,8,24,4,36,8,4,4,
24,4,8,8,8,8,16,1,3,3,1,3,1,3,4,12,4,4,6,4,6,2,12,4,2,8,4,4,4,4,8,4,24,12,4,4,
24,4,8,12,8,24,8,8,8,8,8,8,1,1,6,3,1,1,1,1,4,2,2,4,2,6,4,4,4,4,4,4,4,4,4,4,12,
4,4,4,8,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,24,8,7,11,29,12,20,12,
24,1,2,2,6,25,23,8,4,6,4,4,10,8,12,8,8,16,12,12,8,12,12,8,4,4,8,24,8,8,8,24,
16,16,16,16,7,1,2,7,2,2,1,23,2,3,1,2,4,4,4,4,6,8,4,2,4,10,2,6,6,4,4,4,2,8,8,4,
4,8,4,4,12,4,8,8,4,8,8,16,4,4,8,8,4,8,8,8,16,8,7,2,2,3,1,1,2,1,1,1,4,6,2,2,4,
2,4,6,4,8,4,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,8,8,4,4,4,4,4,
8,1,1,1,1,2,1,2,2,2,2,2,2,4,2,4,2,4,2,2,4,4,4,4,4,1,1,2,1,2,1],[1,7,56,24,7,7,
17,28,12,36,120,32,32,128,1,2,6,10,13,11,8,8,30,8,12,6,8,32,8,8,28,24,8,16,12,
20,8,12,12,24,16,12,24,24,16,8,24,48,16,24,32,24,64,32,1,4,1,2,3,3,3,2,3,1,8,
4,4,4,12,8,4,12,4,6,4,2,6,4,4,8,6,8,8,8,8,8,16,12,8,8,4,12,12,8,8,8,16,8,4,8,
24,8,8,8,8,12,8,4,8,4,4,8,24,4,12,8,8,8,12,8,8,16,16,8,16,16,16,16,8,16,8,16,
8,24,8,16,16,8,16,8,8,24,8,16,8,8,16,8,8,24,8,8,32,32,1,1,2,1,1,1,1,2,6,1,1,1,
1,3,4,4,4,2,2,2,4,4,4,2,2,2,6,6,4,4,4,4,4,2,2,2,6,2,2,4,8,4,8,4,8,4,4,4,4,8,4,
8,8,12,4,8,4,4,8,8,4,8,4,8,4,8,4,4,4,8,4,4,4,4,8,4,4,4,4,4,8,4,8,4,8,4,8,8,8,
8,8,8,16,8,8,8,8,8,8,16,16,8,16,8,8,16,8,8,8,16,16,16,8,8,8,1,1,1,1,1,1,1,1,2,
2,1,1,1,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,
4,4,8,4,4,4,4,4,8,4,8,8,4,4,4,8,8,2,1,1,1,2,2,2,2,2,2,2,2,2,4,4,1],[1,7,24,8,
7,7,17,12,36,12,24,32,1,2,2,6,13,11,8,4,6,4,4,18,8,12,8,4,16,12,12,4,12,12,8,
4,4,8,24,8,8,24,16,16,16,16,16,1,1,2,3,2,2,1,5,2,3,1,2,2,4,4,4,6,12,4,2,8,10,
2,6,10,4,2,4,2,8,8,4,8,4,4,12,4,4,8,8,4,8,16,4,8,4,4,4,8,8,8,8,8,16,8,8,8,1,2,
4,3,1,1,2,1,1,1,6,2,2,4,6,4,8,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,
4,4,4,4,8,8,4,4,4,4,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,1,1,
1,2,2,1],[1,15,40,8,35,5,15,20,12,12,120,32,64,15,1,2,3,15,15,20,4,30,6,6,6,
40,8,12,12,8,60,4,12,8,4,4,12,12,4,16,24,16,16,16,24,16,16,16,16,32,16,32,1,1,
5,1,1,5,2,1,3,3,1,3,6,4,4,6,30,6,2,4,30,6,4,4,2,2,6,4,6,6,4,8,8,8,4,4,4,8,4,8,
12,8,8,12,4,8,8,12,12,8,8,12,8,24,24,8,8,8,8,8,8,32,32,16,16,1,5,2,2,1,1,3,1,
3,3,1,1,1,4,2,4,2,2,2,6,2,4,2,2,2,2,2,6,4,2,4,2,2,4,4,4,8,4,8,4,8,4,4,8,8,8,4,
4,4,8,4,4,8,8,8,12,4,4,4,8,1,1,1,1,2,2,1,1,1,2,2,4,2,4,2,2,2,4,2,2,4,4,4,4,4,
1,1,2,1,2,1],[1,7,24,8,7,7,17,12,4,12,24,32,1,2,2,10,13,11,8,8,6,8,12,2,8,28,
4,16,4,20,4,4,4,16,4,8,16,8,8,16,1,1,2,3,1,3,2,1,1,8,4,4,4,2,4,6,4,2,2,4,2,8,
2,8,4,16,4,4,8,4,4,4,4,16,4,8,8,8,4,4,4,4,4,8,8,4,4,4,12,16,8,8,8,8,1,1,1,1,1,
1,2,1,1,1,1,1,4,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,8,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,
2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,40,16,1,4,10,12,12,16,40,16,16,64,2,
6,5,4,4,4,6,4,4,4,12,10,4,6,10,12,8,6,4,8,12,4,20,8,8,8,24,16,8,8,32,1,1,1,2,
2,4,4,2,2,2,2,4,2,6,2,4,2,2,4,2,4,4,4,4,4,2,6,8,6,6,4,4,12,4,4,8,8,4,4,4,4,4,
8,4,4,4,4,4,12,8,4,8,8,8,8,1,1,1,1,2,2,2,1,2,2,2,3,1,2,4,4,2,4,4,4,2,2,4,4,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,7,56,8,7,3,21,28,20,12,88,64,64,1,4,2,5,11,4,16,22,16,4,10,16,8,
16,16,8,8,36,4,40,8,12,4,8,32,4,16,8,16,8,24,24,16,8,16,8,32,32,48,1,2,3,1,2,
2,2,1,1,2,3,5,4,12,4,6,4,4,4,4,2,8,4,4,8,4,2,6,2,6,12,4,2,8,4,4,12,12,8,8,4,4,
4,12,4,24,4,12,4,8,24,4,12,4,12,4,4,12,8,32,12,8,8,4,12,4,8,4,4,12,4,4,8,8,8,
4,12,4,12,8,8,16,16,1,1,1,6,3,1,1,2,2,2,2,4,2,1,2,1,4,2,2,2,2,3,2,2,2,3,2,1,2,
4,2,1,3,2,2,2,6,2,4,2,6,2,4,2,4,6,6,6,2,2,2,6,2,4,6,6,6,4,4,2,2,2,4,8,8,6,4,6,
6,2,2,4,2,2,4,12,2,6,2,2,8,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,3,2,1,2,1,1,2,
3,1,1,1,2,1,3,1,2,1,2,1,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,1],[1,3,24,8,1,6,16,4,16,4,24,32,4,6,6,3,8,2,6,4,4,8,8,6,4,4,12,2,
14,4,4,2,4,4,8,20,8,12,8,8,8,8,1,2,2,3,3,4,2,6,6,2,4,4,2,2,4,4,4,6,4,4,2,2,12,
2,4,2,4,2,8,4,4,8,4,4,4,4,4,4,4,12,4,4,4,12,4,4,8,4,8,8,8,3,1,1,2,1,1,1,6,6,2,
2,1,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,1,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,56,8,7,7,17,28,20,12,120,32,64,1,2,
2,10,13,11,8,8,30,8,12,10,32,8,28,24,4,16,4,20,4,4,4,24,16,4,8,16,16,16,48,16,
8,16,8,32,32,1,4,1,2,3,1,3,2,1,1,8,4,4,4,12,4,2,12,4,6,4,2,4,4,4,2,4,4,2,8,2,
8,2,4,16,4,8,2,8,4,4,2,8,4,16,2,8,8,8,24,8,2,4,2,4,2,4,8,8,24,4,4,2,12,4,8,8,
16,8,4,8,8,4,4,12,4,4,4,8,8,4,4,8,4,8,8,12,12,8,12,4,8,4,16,16,1,1,2,2,1,1,2,
6,1,4,1,1,2,2,2,2,1,2,1,4,2,2,2,6,2,2,2,2,1,2,2,1,2,1,2,1,2,4,2,6,6,4,4,6,2,4,
2,2,2,2,4,2,4,2,6,2,8,2,2,4,2,6,6,2,2,2,2,2,4,4,4,4,4,6,4,4,6,2,4,2,4,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,8,4,4,4,1,1,1,1,1,1,1,1,1,1,3,2,1,1,3,
2,3,1,1,1,1,2,1,2,2,1,1,1,2,2,2,4,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,15,24,32,35,3,9,12,16,48,48,72,32,16,48,15,8,
9,9,12,18,24,8,12,24,8,12,36,20,20,20,20,96,24,12,24,12,12,12,12,12,24,8,80,8,
24,32,32,1,1,3,3,3,3,5,5,3,9,18,10,3,18,24,3,3,10,10,24,8,8,6,6,20,20,20,6,20,
6,12,6,6,12,4,12,4,12,24,4,24,12,4,4,12,24,4,8,8,24,8,8,8,24,8,8,8,3,1,8,1,3,
5,5,2,4,3,3,10,3,6,3,3,10,10,3,9,3,3,6,6,2,6,6,2,6,2,20,6,2,6,6,12,6,6,6,6,2,
6,12,2,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,3,5,4,4,3,3,3,3,1,1,3,2,6,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,24,8,1,10,12,4,16,4,24,
32,2,12,6,3,4,4,6,6,4,4,8,12,8,2,4,14,14,4,2,4,4,12,8,12,8,8,8,8,8,1,2,2,3,3,
4,4,6,6,6,6,2,4,14,4,2,12,2,4,12,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,
12,4,4,8,8,8,1,3,3,1,1,1,6,6,6,6,1,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,40,8,35,5,
15,20,12,12,120,32,15,1,2,3,15,15,20,4,30,6,6,6,40,8,12,12,8,60,4,12,8,4,4,12,
12,4,16,24,16,24,16,1,1,5,1,1,5,2,1,3,3,1,3,6,4,6,30,6,2,30,6,2,2,6,4,6,6,2,2,
8,4,4,4,2,4,8,12,2,8,12,2,4,2,2,8,12,12,8,2,4,12,4,8,24,24,4,4,4,8,4,4,4,4,4,
4,8,4,8,4,4,4,4,8,4,1,5,2,2,1,3,3,3,1,1,1,4,1,2,1,2,2,6,1,1,4,2,2,6,1,4,1,2,2,
2,1,2,1,2,2,2,2,2,2,4,2,8,4,2,2,2,2,4,8,2,2,2,4,2,2,2,4,4,2,2,2,2,2,6,2,6,4,4,
4,12,2,2,2,4,2,4,2,2,2,2,4,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,4,
1,1,2,1,2,3,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,3,40,8,1,6,8,12,16,4,40,32,6,2,3,4,4,4,10,4,6,4,4,12,8,2,4,6,
6,4,2,4,4,8,20,8,8,20,16,8,8,8,8,1,2,1,2,1,4,4,2,2,2,2,2,6,2,4,6,4,4,2,4,4,2,
4,4,4,4,2,2,4,4,2,2,4,4,4,4,4,4,16,4,4,4,4,8,4,4,4,12,4,12,4,4,8,8,8,1,1,1,2,
2,1,1,1,2,2,2,2,1,2,2,4,4,2,4,2,2,2,2,2,4,2,4,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,
1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,24,16,35,3,9,12,
16,24,24,72,16,48,15,4,9,9,12,18,12,12,24,12,4,36,12,4,12,12,12,48,12,8,12,12,
12,12,12,24,8,48,8,24,1,1,3,3,3,3,3,3,3,2,9,18,6,3,18,12,3,3,6,6,2,12,6,6,4,
12,12,12,6,12,4,4,6,4,6,4,6,4,4,4,12,4,12,8,4,12,4,4,12,4,24,24,3,1,4,1,3,3,3,
2,2,3,3,6,3,2,2,3,2,3,6,6,3,9,3,3,6,2,6,6,2,6,2,12,6,2,4,6,6,4,6,6,4,6,4,4,6,
2,6,2,4,4,4,4,1,1,1,3,3,2,3,3,2,3,1,1,3,2,6,2,2,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,40,16,1,14,12,12,16,40,16,16,64,2,2,5,8,4,2,4,4,4,14,4,4,12,10,10,12,
12,6,4,8,8,4,4,20,8,8,24,16,8,8,32,1,1,1,2,2,4,2,2,4,2,4,2,2,2,2,2,4,4,4,4,2,
4,4,2,6,2,4,6,8,6,4,4,8,4,8,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,16,8,8,8,8,1,1,1,
2,1,2,1,2,2,2,2,3,1,2,2,4,2,4,4,4,4,2,2,4,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,40,8,1,2,12,12,16,
4,40,32,2,2,3,8,4,6,4,6,4,4,8,6,4,4,12,10,6,4,4,2,4,4,16,12,8,8,20,8,8,8,8,8,
1,2,1,2,1,4,2,2,2,2,2,2,4,4,4,4,2,2,4,4,4,4,6,4,4,2,2,4,2,4,2,4,4,2,4,4,8,4,4,
12,4,12,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,1,1,1,2,2,2,2,1,1,1,2,2,1,4,2,2,2,4,2,4,
2,2,2,2,4,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,7,56,8,7,7,17,28,20,12,88,64,64,1,2,2,10,9,7,12,8,
22,12,16,10,16,8,16,32,8,4,28,4,24,4,12,4,8,24,4,16,8,16,16,24,24,16,8,16,8,
32,32,48,1,2,1,2,1,2,2,2,1,1,4,3,3,8,4,4,4,6,4,2,4,4,6,8,4,4,4,4,2,6,2,6,4,2,
8,2,8,16,4,12,4,4,12,4,8,8,16,8,8,12,4,8,4,4,8,4,8,4,12,4,12,4,4,12,24,16,12,
8,8,4,16,4,4,8,4,4,4,4,4,8,8,8,4,16,4,4,4,8,8,16,16,1,1,1,1,1,1,1,2,1,1,1,2,2,
4,2,2,1,2,1,4,2,2,2,3,2,2,2,2,3,2,1,2,4,1,3,4,2,2,2,4,2,2,2,2,4,2,6,4,8,6,6,4,
2,2,2,6,2,4,6,2,6,4,2,2,2,4,8,4,8,8,2,8,4,2,6,2,2,4,2,2,4,4,4,4,4,2,6,2,2,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,4,2,1,3,2,1,1,2,1,1,1,2,1,2,1,2,2,
2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,24,32,1,
4,18,4,32,4,40,24,16,16,32,6,6,9,4,12,6,24,4,4,12,18,4,6,2,12,38,4,8,4,4,12,8,
8,8,8,8,32,2,3,3,9,4,4,6,18,6,2,4,2,2,2,4,4,12,2,6,6,14,4,12,4,4,4,16,12,4,4,
4,4,4,12,4,4,4,4,4,8,8,8,1,6,1,9,3,6,6,1,3,1,6,4,2,2,2,2,6,2,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,1,3,3,3,1,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,40,16,7,5,
11,20,16,32,24,72,32,16,112,1,1,4,3,7,5,8,18,6,6,16,12,16,4,8,8,12,16,12,8,4,
12,12,8,12,16,16,20,8,20,16,20,28,28,28,56,8,48,8,40,1,2,1,1,1,1,2,3,2,3,1,2,
4,7,6,5,4,4,8,3,2,6,5,5,6,6,2,2,4,8,14,10,4,8,4,4,10,12,4,4,6,4,8,6,4,4,6,8,8,
8,4,8,16,20,4,12,16,16,4,16,12,16,4,4,20,4,24,24,32,32,1,1,1,2,1,1,2,1,2,2,2,
1,5,4,2,2,3,2,2,2,2,1,2,4,4,2,2,3,2,3,1,1,1,4,8,6,2,6,6,2,4,2,2,4,6,2,4,8,2,2,
2,2,4,4,4,2,4,4,4,6,4,2,2,4,2,4,4,4,4,8,4,8,12,8,1,1,1,1,1,2,2,1,1,2,2,2,1,2,
1,1,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,40,32,7,5,11,20,
16,24,48,72,32,32,16,112,1,1,8,3,7,5,8,18,6,6,12,8,12,16,8,4,8,8,12,4,16,20,8,
4,12,20,12,8,20,16,32,24,20,24,20,16,20,28,28,28,56,8,48,8,40,32,32,1,2,1,1,1,
1,2,5,2,3,3,2,4,7,2,6,5,4,4,4,3,2,2,5,5,10,2,2,2,2,8,8,8,4,8,14,10,4,8,12,12,
4,10,12,4,4,4,6,4,4,4,8,12,4,4,6,4,6,12,4,4,4,8,8,8,8,4,8,16,20,8,4,12,8,8,24,
16,16,4,8,24,16,12,16,4,4,20,24,4,8,8,24,8,8,8,24,8,32,8,32,8,1,1,1,1,1,2,3,2,
4,2,2,1,5,4,2,2,2,3,2,2,6,1,2,4,4,2,2,2,2,3,2,2,3,1,1,1,6,4,8,6,2,6,6,4,2,4,4,
2,2,4,6,2,4,4,8,2,2,4,4,12,2,2,4,4,4,2,4,4,4,4,4,6,4,4,2,2,4,4,4,4,2,4,4,4,4,
4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,8,4,8,8,8,8,12,4,8,8,8,1,1,1,1,1,2,2,1,
1,2,2,2,1,2,1,1,1,2,2,2,2,2,4,4,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,4,4,2,4,2,2,2,2,
2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,24,32,1,22,4,32,4,40,24,16,16,32,2,6,
9,16,2,24,4,4,6,4,4,12,10,2,12,4,38,4,8,8,12,4,12,8,8,8,8,32,2,3,3,9,4,18,2,2,
2,2,4,4,4,2,4,4,2,6,2,4,6,6,4,4,16,4,12,4,4,12,12,4,8,4,4,4,4,12,4,4,4,4,8,8,
8,6,1,1,9,1,1,2,2,2,3,1,6,2,4,2,2,2,2,2,2,4,6,2,2,2,4,2,4,4,4,4,4,4,4,4,4,1,1,
1,3,1,1,2,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,36,32,8,35,54,54,24,96,
48,15,9,27,108,16,2,40,8,24,24,1,27,27,16,6,12,24,72,9,8,2,2,6,6,8,6,6,1,1],[
1,15,12,32,8,35,18,18,24,16,48,15,3,9,36,16,2,40,8,1,9,9,16,6,12,12,3,8,2,2,1,
3,1,1],[1,15,24,32,8,35,3,9,12,72,4,12,24,24,15,9,9,12,18,24,36,16,2,40,8,12,
12,12,12,1,3,3,18,18,16,1,6,3,4,6,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,3,48,20,
20,1,16,18,36,36,36,12,72,72,12,3,12,9,18,18,9,18,72,16,4,1,5,4,4,16,16,12,12,
12,12,1,9,9,18,18,16,12,3,3,12,6,18,12,24,24,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,
3,1,1],[1,15,20,35,30,30,40,16,15,5,15,60,20,20,16,1,15,15,10,10,16,5,5,5,5,1,
1,1],[1,1,42,28,28,21,28,42,28,56,8,7,7,21,84,7,7,28,8,21,8,7,7,14,14,8,7,7,1,
1],[1,15,28,35,84,8,15,7,28,8,1,8,21,8,7,1,1,1,1],[1,1,28,21,28,8,7,7,21,28,8,
21,8,7,7,8,7,7,1],[1,1,14,28,7,28,28,56,8,7,8,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,
45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,11,20,5,45,
45,6,50,60,45,45,10,6,5,5,5,5,15,45,6,10,20,18,15,15,15,15,6,10,5,1,6,5,3,1,
1],[1,3,24,24,64,1,12,18,12,32,36,64,6,18,9,12,12,18,24,36,36,36,16,128,2,3,3,
9,12,12,18,18,18,36,36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,7,24,24,64,7,
3,21,12,32,12,36,24,96,64,1,6,9,15,12,6,6,24,12,24,12,12,12,12,12,36,24,24,24,
24,24,48,48,16,128,2,3,3,3,9,3,3,3,6,6,6,6,18,6,6,6,6,12,12,12,12,12,12,12,12,
12,24,24,24,24,16,1,6,2,2,3,3,9,3,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,12,8,12,
1,3,3,6,6,6,6,4,8,8,1,1,1],[1,3,24,24,64,1,30,12,32,36,64,6,6,9,24,6,24,12,36,
12,12,36,24,16,128,2,3,3,9,12,18,6,6,12,12,12,12,12,24,24,16,6,3,9,3,6,6,6,12,
12,8,12,1,3,3,6,6,4,8,3,1,1],[1,3,48,24,16,1,18,32,36,72,16,48,48,6,9,12,24,
12,18,18,36,36,36,8,16,48,48,2,3,3,9,18,18,18,36,36,36,36,12,16,24,6,3,9,9,18,
18,8,12,12,12,1,9,9,12,3,1,1],[1,3,48,64,1,18,32,12,48,48,48,64,6,9,12,24,12,
12,6,42,12,24,12,12,24,96,16,128,2,3,3,9,18,6,12,6,12,12,12,12,12,24,24,16,64,
6,9,3,3,6,6,6,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,15,24,16,64,35,3,9,12,16,24,
24,72,48,64,15,4,9,9,12,18,12,12,24,12,36,12,12,12,12,48,12,12,12,12,12,12,24,
48,24,80,64,1,1,3,3,3,3,3,3,3,9,18,6,3,18,12,3,3,6,6,12,6,6,12,12,12,6,12,6,6,
6,12,12,12,12,24,24,16,3,1,4,1,3,3,3,2,3,3,6,3,3,3,6,6,3,9,3,3,6,6,6,6,12,6,6,
6,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,3,16,24,64,1,18,32,36,
24,64,6,9,12,24,4,6,6,12,36,12,16,128,2,3,3,9,18,6,6,12,12,12,12,16,6,1,9,3,6,
6,8,12,1,3,3,4,1,1,1],[1,7,32,12,16,7,12,16,42,18,48,8,24,48,32,16,32,1,3,6,
12,21,2,8,2,12,24,24,12,6,6,24,12,24,12,24,12,24,48,4,8,16,16,16,1,3,3,6,3,6,
3,6,9,6,6,3,6,18,6,12,6,6,6,6,6,12,12,12,12,4,8,8,8,8,16,16,1,3,3,6,3,6,3,6,6,
3,6,6,3,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,8,24,16,35,1,3,4,
36,36,24,32,48,32,15,6,3,3,4,6,18,8,8,8,12,12,12,12,12,72,24,24,48,4,16,8,16,
16,1,1,1,3,3,6,6,6,18,6,6,18,8,8,12,12,12,12,12,12,24,24,24,12,8,8,8,16,1,6,3,
3,4,6,6,6,6,6,12,12,12,4,4,4,8,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,15,48,12,16,35,6,
18,24,18,18,144,8,24,48,16,48,48,15,3,18,18,24,36,9,2,48,2,72,36,6,12,6,12,12,
12,12,12,24,12,12,24,48,4,16,8,48,48,1,6,6,3,36,3,36,9,3,3,9,6,6,6,6,6,6,6,6,
6,6,24,12,12,12,24,12,4,12,12,16,8,8,16,6,3,1,3,3,3,6,6,3,6,6,6,3,6,6,6,6,4,
12,12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,8,24,16,1,4,18,4,32,36,48,32,6,6,
9,4,12,6,24,12,12,36,8,16,16,16,2,3,3,9,4,4,6,18,6,12,12,12,24,16,1,6,9,3,6,6,
8,4,12,4,1,3,3,4,1,1,1],[1,7,56,16,7,3,21,28,24,120,32,16,32,1,9,15,12,30,12,
32,12,24,6,24,12,6,24,12,12,48,48,48,4,16,16,16,1,4,3,3,3,3,12,3,12,6,6,6,6,
12,6,3,12,6,6,6,12,24,6,12,24,12,6,12,12,12,12,12,4,8,8,16,1,2,3,3,6,6,3,6,3,
6,6,6,12,12,6,6,6,6,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,15,
72,16,35,9,27,36,216,32,16,48,48,15,1,3,27,27,36,4,54,6,6,72,8,12,36,6,108,12,
6,36,12,16,12,72,4,16,8,48,48,1,3,9,1,1,9,2,9,3,3,18,3,18,54,6,54,6,3,6,6,6,
12,6,36,6,12,36,6,12,24,24,12,12,12,12,12,12,12,12,4,4,12,12,4,16,8,16,3,9,6,
3,3,9,4,3,6,3,3,18,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,4,4,4,12,4,4,12,4,
4,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,15,36,64,35,16,54,54,24,24,64,
15,9,27,6,12,6,12,108,18,18,12,12,48,80,64,1,1,3,3,9,27,27,6,18,6,18,12,12,12,
12,48,32,9,3,3,9,3,3,9,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,56,16,
35,7,21,28,168,224,48,32,15,7,21,21,21,28,28,42,42,42,56,56,64,84,84,84,84,
112,4,16,8,16,16,1,7,7,7,7,8,14,21,21,28,28,28,28,42,42,42,42,42,56,84,84,84,
84,84,84,84,168,168,4,12,4,8,8,16,16,16,7,7,21,21,21,28,28,42,42,42,56,84,84,
84,84,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,4,8,1,1,1,1,1],[1,7,24,48,16,7,
1,15,12,48,24,72,24,32,48,48,32,16,32,1,12,3,9,6,12,8,36,8,24,12,12,12,36,48,
24,24,12,12,12,24,48,24,96,96,4,8,16,16,16,3,1,9,3,3,9,9,6,6,6,12,8,8,6,12,12,
12,6,12,6,6,12,12,12,24,12,24,12,24,12,24,24,24,24,4,8,8,8,8,16,16,16,3,3,3,4,
3,3,3,6,6,3,6,6,6,6,6,12,6,6,12,12,12,12,12,12,24,4,4,4,8,8,8,8,1,3,3,6,6,6,6,
6,6,1,4,8,3,1,1,1,1],[1,7,24,24,16,7,7,9,12,36,36,24,32,16,16,16,1,6,9,3,12,6,
18,8,8,12,12,24,12,24,12,24,24,12,24,12,12,12,12,24,24,4,8,16,16,16,1,3,3,3,3,
6,6,6,6,9,3,12,6,8,8,6,6,12,12,6,6,6,12,6,12,12,12,24,24,12,12,12,24,24,24,24,
24,4,4,4,8,8,16,3,3,4,6,3,3,3,3,3,6,6,6,6,6,12,6,6,6,12,12,12,12,12,12,24,4,4,
4,8,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,7,48,16,7,7,21,24,24,48,32,16,
16,16,1,4,9,9,12,16,12,12,12,8,12,12,12,36,36,12,12,24,24,12,12,24,24,4,8,16,
16,16,3,1,3,3,3,4,12,4,3,6,6,6,6,6,6,6,3,12,8,12,6,6,12,6,6,24,12,12,12,24,6,
12,12,12,12,24,12,12,12,12,12,12,12,4,4,4,4,4,8,16,3,6,3,3,4,3,3,3,6,3,6,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,
6,6,6,1,4,4,4,3,1,1,1,1],[1,3,48,16,1,18,32,12,48,48,48,48,32,6,9,12,24,12,12,
6,42,12,24,12,12,24,96,8,16,16,16,2,3,3,9,18,6,12,6,12,12,12,12,12,24,24,12,
24,16,16,6,9,3,3,6,6,6,12,12,8,4,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,56,16,7,3,
21,28,24,72,80,32,16,32,1,1,3,3,9,6,4,18,12,12,12,8,20,16,18,6,42,18,6,12,24,
24,12,12,24,36,12,48,4,8,16,16,16,3,1,2,3,3,3,3,1,3,1,3,9,3,3,3,9,6,6,3,3,3,3,
6,6,9,12,6,6,6,6,6,6,15,6,9,6,15,6,6,12,6,12,6,12,24,24,12,6,6,12,6,6,6,6,6,6,
6,6,6,4,4,8,4,8,8,16,16,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,3,3,3,6,3,6,6,
3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,7,56,24,16,7,9,15,28,12,36,120,192,16,16,16,
32,32,1,3,6,9,15,9,12,30,6,6,6,32,12,24,6,12,12,12,6,12,12,24,12,24,24,12,48,
24,24,48,24,96,48,4,16,16,16,32,32,1,4,3,3,3,3,3,3,12,12,3,12,6,6,6,6,3,6,6,
12,12,12,6,12,12,12,6,12,6,24,12,6,24,6,24,12,24,24,12,12,12,24,24,12,24,12,
12,24,12,48,48,4,4,4,8,8,16,1,2,3,6,3,3,6,6,3,3,6,6,6,3,3,3,12,6,6,6,6,12,6,6,
6,6,6,6,6,6,6,6,12,12,24,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,
1,2,2,1],[1,7,32,36,16,7,6,6,16,48,30,54,48,8,24,96,16,16,16,32,32,1,9,6,12,
12,15,2,36,8,2,12,12,12,36,6,12,6,12,12,24,24,24,48,12,48,12,24,48,4,8,16,16,
16,32,32,3,1,6,9,6,6,3,3,3,6,9,12,6,12,6,12,24,6,6,6,24,6,12,24,12,12,24,12,4,
4,4,8,8,8,8,16,16,3,1,6,3,3,6,3,6,6,3,6,6,3,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,15,36,16,35,48,54,54,8,24,48,32,15,9,27,2,36,2,36,108,6,6,
12,12,48,4,16,8,16,16,1,3,9,9,27,27,27,6,6,6,6,12,12,12,12,12,8,8,8,16,16,9,9,
1,27,3,3,3,6,6,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,24,16,1,6,12,
24,12,48,32,2,6,6,3,4,6,12,8,12,18,6,12,12,12,24,24,16,16,16,1,2,2,3,3,6,6,6,
12,6,12,12,12,12,12,12,24,24,4,8,8,16,3,3,3,6,6,6,6,6,12,12,8,4,4,4,8,8,8,1,3,
3,6,6,4,8,3,1,1],[1,15,24,24,16,35,3,9,12,36,36,72,48,32,15,6,9,9,12,18,18,24,
12,6,36,12,6,12,12,12,12,72,12,24,48,4,16,16,16,1,1,3,3,3,3,3,6,3,6,18,6,18,
18,6,6,3,18,6,12,12,12,12,6,6,12,6,12,6,12,12,12,12,12,8,16,1,3,6,2,3,3,3,6,3,
6,3,6,6,12,6,6,6,6,6,6,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,
15,56,16,35,7,21,28,168,48,32,15,21,21,28,42,56,84,84,84,168,4,16,16,16,1,7,7,
7,21,42,42,42,42,84,84,12,8,16,7,7,14,14,21,42,42,1,4,4,4,1,7,7,1,2,2,4,1,1,1,
1,1],[1,7,56,24,16,7,9,15,28,12,36,72,80,96,16,16,16,32,32,1,1,6,3,9,3,18,4,
18,12,12,6,8,20,16,18,12,6,30,18,6,12,24,12,24,24,12,12,24,12,12,36,24,36,48,
24,24,4,8,16,16,16,32,32,1,2,3,3,3,3,3,1,3,1,3,3,6,3,6,9,3,3,6,6,3,3,3,3,6,6,
9,18,6,6,6,6,6,6,15,9,6,15,6,6,6,6,6,24,24,12,6,6,12,6,6,6,12,6,6,12,6,6,6,6,
24,24,24,24,4,4,4,4,4,8,8,8,16,16,3,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,6,3,6,6,3,
3,3,6,3,3,3,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,8,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,7,24,16,7,13,27,12,24,24,16,
16,16,1,3,9,27,21,12,6,6,6,12,12,12,12,12,12,24,24,4,16,16,16,7,3,7,21,3,6,6,
6,6,6,12,6,6,6,6,12,12,12,12,12,12,4,4,4,16,7,3,3,6,6,6,6,6,6,6,6,6,6,6,12,1,
4,4,4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,15,72,16,35,9,27,36,216,96,16,48,48,15,
3,9,27,27,36,12,54,18,18,72,24,36,12,6,108,36,6,12,36,48,12,24,4,16,48,48,1,1,
9,3,3,9,6,3,9,9,6,3,6,54,18,54,18,3,18,6,6,36,6,12,6,36,12,6,36,72,72,12,12,
12,12,12,12,12,12,4,12,12,16,1,9,2,9,9,3,12,3,18,3,3,6,3,3,3,6,6,6,6,6,6,6,6,
6,6,36,6,6,6,6,12,1,4,12,12,1,3,3,3,3,3,3,6,6,6,6,1,1,1,4,2,2,3,1,1,1,2,2,1],[
1,15,24,24,16,35,3,9,12,36,36,72,32,48,32,15,1,6,3,9,9,12,4,18,6,6,18,24,8,12,
6,36,12,12,6,12,12,12,12,16,72,12,48,4,16,8,16,16,1,3,1,1,3,2,3,3,3,3,3,18,6,
6,18,18,6,6,6,3,6,18,6,6,6,12,12,12,6,12,6,12,6,6,6,6,6,6,12,6,6,12,12,24,24,
12,12,12,4,12,4,8,8,16,16,3,6,3,3,3,3,4,3,6,6,3,3,3,3,3,6,6,12,6,6,6,6,6,6,6,
6,6,6,6,12,6,6,6,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,
1],[1,7,24,24,16,7,7,33,12,12,36,24,32,16,32,1,6,21,27,12,6,6,12,24,12,12,12,
12,12,12,24,24,24,24,4,16,16,16,7,3,7,3,21,3,3,6,12,6,6,6,12,12,12,12,12,12,
12,12,12,12,4,8,8,16,7,3,3,3,3,3,3,6,12,12,12,12,12,12,12,1,4,4,4,1,3,3,6,6,1,
2,2,4,3,1,1,1,1],[1,3,48,16,1,6,12,12,72,16,48,48,2,6,6,3,4,6,12,8,24,6,6,12,
12,24,36,16,48,48,1,2,2,3,3,6,6,12,12,12,6,6,12,12,12,12,24,24,4,8,16,8,3,3,6,
6,3,6,6,12,6,12,8,8,4,4,8,4,8,1,3,3,6,6,8,4,3,1,1],[1,7,48,24,16,7,1,27,24,12,
36,48,32,96,32,16,32,1,4,6,3,15,16,12,12,6,8,12,48,36,12,24,12,24,12,36,12,24,
12,48,24,4,8,16,16,16,3,3,1,3,3,4,12,4,9,6,6,12,12,3,12,6,6,8,6,6,12,6,12,24,
12,12,6,24,6,12,24,12,12,12,12,12,12,12,12,12,12,4,4,8,4,8,8,16,3,6,3,3,3,4,6,
3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,
3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,3,8,16,1,10,12,4,12,48,32,2,12,6,3,4,
4,6,6,8,12,12,12,16,16,16,1,2,2,3,3,4,4,6,6,6,6,12,12,12,4,8,8,16,1,3,3,6,6,6,
6,8,4,4,4,8,1,3,3,4,1,1,1],[1,3,24,36,16,1,3,3,12,16,18,30,24,24,32,24,48,48,
32,1,3,3,3,6,3,6,12,6,4,8,6,6,6,6,6,18,6,6,16,12,18,12,18,12,12,12,12,12,24,
12,24,12,48,48,4,16,8,16,16,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,3,6,3,6,3,6,3,
6,6,12,6,6,12,6,6,6,12,6,6,6,12,6,6,12,6,6,12,12,12,12,12,12,24,12,24,12,4,8,
4,12,16,16,8,3,3,3,4,3,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,
12,12,4,4,4,4,4,4,8,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,3,24,36,
16,1,3,3,12,16,18,30,24,24,24,48,32,48,3,3,6,6,6,3,6,12,6,6,6,6,6,6,18,6,6,12,
18,18,12,12,12,24,12,24,12,24,48,48,4,16,16,16,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,3,3,6,3,3,6,6,12,12,6,6,6,6,6,12,6,6,6,6,6,12,6,6,12,12,12,12,12,8,16,1,2,
3,3,6,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,
3,1,1,1,1],[1,3,48,16,1,18,32,12,48,48,48,32,48,6,9,12,24,12,12,6,42,12,24,12,
12,24,96,4,16,16,16,16,2,3,3,9,18,6,12,6,12,12,12,12,12,24,24,12,8,16,16,6,9,
3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,15,36,16,35,16,54,54,24,
24,48,32,15,9,27,6,12,6,12,108,18,18,12,12,48,4,4,16,16,16,1,1,3,3,9,27,27,6,
18,6,18,12,12,12,12,12,8,12,12,16,8,9,3,3,9,3,3,9,6,6,6,6,4,4,4,4,12,4,4,4,4,
1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,8,16,35,1,3,4,24,48,32,15,3,3,4,6,8,6,12,6,
12,4,16,16,16,1,1,1,3,6,6,3,6,6,6,6,6,12,8,16,1,3,3,6,6,6,6,4,4,4,1,3,3,4,1,1,
1],[1,15,36,16,35,16,54,54,24,24,32,48,15,9,27,6,12,6,12,108,18,18,12,12,48,
20,16,16,16,1,1,3,3,9,27,27,6,18,6,18,12,12,12,12,12,24,16,9,3,3,9,3,3,9,6,6,
6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,32,16,1,4,6,16,12,24,32,48,32,
6,3,4,4,6,6,6,8,8,12,16,12,12,24,16,8,16,16,1,2,2,4,4,3,3,6,6,6,6,6,6,12,12,4,
8,8,16,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,4,1,1,1],[1,15,36,16,35,16,54,54,24,
24,48,32,15,9,27,6,12,6,12,108,18,18,12,12,48,4,16,16,16,16,1,1,3,3,9,27,27,6,
18,6,18,12,12,12,12,12,8,16,16,9,3,3,9,3,3,9,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,
2,4,3,1,1,1,1],[1,7,7,7,21,64,1,21,21,7,7,21,7,8,1,1],[1,15,20,16,35,30,30,16,
80,15,5,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,15,104,24,35,13,39,52,
32,36,36,312,288,288,15,9,6,27,39,39,52,36,78,54,54,18,24,104,24,72,64,108,36,
12,156,36,108,12,36,36,36,108,36,144,72,72,24,72,72,72,72,72,72,144,144,144,1,
2,3,13,9,9,13,8,6,6,18,9,9,27,9,27,28,28,28,28,18,18,6,18,18,78,54,18,18,78,
18,18,18,18,18,54,6,54,18,56,12,36,84,36,36,12,12,36,36,36,12,36,36,12,108,12,
12,84,36,36,84,12,36,12,84,12,36,12,108,36,36,12,12,108,24,24,72,216,216,72,
72,72,72,24,24,24,24,72,72,24,24,24,24,72,24,72,24,72,24,72,24,24,24,144,144,
144,144,7,3,13,6,6,6,6,6,9,9,21,27,9,27,9,3,9,3,9,9,12,28,36,6,6,6,18,18,18,
18,18,18,54,6,18,18,6,6,18,6,18,18,18,18,18,18,6,6,18,18,6,18,18,6,6,18,42,18,
42,18,18,6,24,56,12,36,36,36,12,36,12,12,36,36,12,36,12,36,12,36,12,12,36,36,
12,36,12,36,36,12,12,36,36,36,12,36,84,12,12,12,12,12,36,12,36,36,12,36,108,
12,84,84,12,12,12,12,12,12,36,12,36,12,36,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,72,24,24,24,72,1,2,3,3,9,7,6,6,6,3,3,3,3,9,3,3,3,9,9,9,3,9,3,9,3,
21,9,28,18,6,6,18,18,18,18,6,18,6,18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,
6,18,6,6,6,6,6,18,6,18,6,6,6,18,12,12,12,36,12,36,12,36,12,36,12,12,36,12,36,
12,12,12,12,36,12,12,12,12,12,12,12,36,12,12,12,24,24,1,1,3,1,6,2,3,3,3,3,3,3,
3,9,3,3,3,3,3,9,3,6,6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,12,12,1,3,3,3,
3,3,3,6,6,1],[1,15,104,24,35,13,39,52,36,36,312,32,224,192,15,7,6,21,39,39,52,
28,78,42,42,18,8,104,8,56,64,84,84,12,156,12,84,12,12,12,84,84,12,112,72,24,
48,24,24,48,168,48,48,48,48,96,48,96,1,7,13,7,7,13,8,14,3,21,21,3,21,28,28,28,
28,42,12,6,42,78,42,6,12,78,18,12,12,6,6,42,6,42,18,8,8,56,12,12,84,24,24,12,
12,12,12,12,12,24,12,12,84,12,12,84,24,84,84,12,12,12,12,12,84,12,24,12,84,84,
24,12,12,12,12,84,24,24,24,168,168,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,96,96,48,48,7,7,13,6,14,14,3,3,21,
21,3,21,21,3,3,3,3,3,28,4,28,6,6,6,6,6,12,6,6,6,42,6,6,6,6,6,6,6,6,42,6,6,6,6,
42,6,6,6,12,6,6,6,6,6,42,42,6,6,6,6,56,12,12,24,12,12,12,12,12,12,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,12,12,12,12,12,12,12,12,12,12,84,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,84,12,84,84,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,1,7,7,7,1,7,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,21,3,4,
28,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,3,3,3,3,3,3,6,6,1],[1,15,104,24,35,13,
39,52,32,36,36,312,96,288,15,3,6,9,39,39,52,12,78,18,18,18,24,104,24,24,36,
108,12,156,36,36,12,36,36,108,36,36,48,72,72,24,72,216,72,72,72,72,144,144,
144,1,2,9,13,3,3,13,6,6,6,9,27,9,9,9,54,18,6,54,18,78,18,18,18,78,18,18,18,18,
18,18,6,18,18,36,36,36,12,36,36,36,36,36,12,36,12,36,108,36,36,12,36,108,36,
12,36,72,72,72,24,72,72,72,24,72,24,24,24,72,72,24,24,72,24,72,24,72,24,72,24,
24,144,144,144,144,9,13,6,6,18,6,6,14,9,9,9,9,9,27,9,9,9,12,12,6,18,18,18,18,
18,18,18,18,18,6,6,18,42,18,18,18,18,18,54,6,18,18,18,18,6,18,18,18,6,18,6,6,
24,12,36,36,36,12,36,12,12,36,36,12,36,36,12,36,36,36,36,12,12,36,36,12,36,36,
12,36,12,36,12,12,12,12,36,36,12,36,12,36,12,36,12,12,12,12,36,12,36,36,24,24,
24,72,72,1,1,2,9,7,3,3,6,6,6,9,9,9,3,3,9,9,9,9,18,6,6,18,18,18,18,6,6,18,18,6,
18,18,18,6,6,6,6,18,6,6,18,6,6,6,6,18,6,6,6,18,18,12,36,36,36,12,12,36,12,12,
36,12,36,12,12,36,12,12,36,12,12,1,3,6,2,3,3,3,3,3,9,3,9,3,6,6,6,6,18,18,6,6,
6,6,12,1,1,1,3,3,3,3,1],[1,7,40,8,7,15,33,20,36,12,40,32,32,1,4,2,16,29,23,16,
8,10,12,16,18,8,8,36,8,16,24,12,28,24,12,12,8,16,4,8,40,16,8,8,40,16,16,16,16,
16,7,1,4,7,2,2,1,23,4,3,1,8,4,4,4,2,8,4,4,8,10,12,4,2,8,18,2,6,10,8,12,12,2,8,
4,8,16,8,4,12,4,8,4,4,12,20,4,16,24,4,8,8,16,8,4,4,8,4,4,4,24,4,8,8,16,4,4,12,
8,8,8,16,8,8,8,8,8,8,8,16,8,8,8,16,8,8,8,16,8,1,7,2,4,3,1,1,1,4,1,1,3,1,1,4,2,
2,8,10,2,2,2,8,2,8,6,8,12,4,2,6,8,2,2,2,2,8,2,2,2,2,8,4,12,8,4,4,4,4,4,4,4,4,
4,4,8,4,8,4,4,4,4,16,4,4,4,4,4,4,4,8,4,8,4,8,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,8,4,8,8,8,8,8,8,8,1,1,1,1,3,1,1,1,1,1,1,4,1,1,4,3,1,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,8,2,2,2,8,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,1,1,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,
72,8,7,7,25,36,36,12,136,32,32,1,6,2,6,13,15,8,16,34,16,4,18,32,8,8,20,32,16,
32,12,44,8,12,12,32,24,4,8,24,32,40,56,24,16,16,16,16,48,1,4,3,2,3,2,2,1,5,2,
3,3,4,12,4,14,8,16,4,4,10,12,4,6,8,10,10,6,10,16,4,4,2,8,8,8,8,12,12,8,4,4,12,
4,8,8,16,16,24,24,8,4,8,12,16,12,24,24,16,8,4,12,16,8,8,24,8,8,8,8,8,8,8,16,8,
16,8,16,8,16,8,8,24,24,8,24,16,24,8,16,1,2,2,4,3,6,3,1,2,6,4,1,2,1,1,4,4,6,6,
2,4,6,4,2,6,6,4,8,4,2,4,4,2,4,2,4,2,6,2,2,2,4,2,8,4,4,4,8,8,8,12,8,8,4,4,4,4,
4,4,8,12,4,8,4,4,4,8,8,4,8,4,4,12,4,4,4,4,4,8,4,8,4,4,8,4,4,4,4,8,4,12,12,8,4,
4,4,4,8,8,16,8,8,8,8,24,8,8,8,8,1,1,1,1,1,1,1,2,2,1,2,1,2,1,1,2,2,2,4,4,2,2,2,
2,2,4,2,2,6,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,8,4,4,
4,8,4,4,4,4,4,8,4,4,4,4,1,1,2,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,1,1,1,1,1,1,1,1],[1,15,72,8,35,9,27,36,12,12,216,32,32,64,15,1,2,3,27,27,
36,4,54,6,6,6,72,8,12,84,12,108,4,12,12,4,4,84,12,4,16,24,16,24,16,168,16,16,
16,16,32,16,16,16,32,1,7,9,1,1,9,2,1,21,3,1,3,42,4,6,42,54,6,2,4,54,6,4,4,2,2,
6,6,6,6,4,8,8,12,4,4,4,8,4,12,12,12,8,84,4,8,12,12,84,8,12,12,16,8,24,24,8,8,
8,8,8,8,8,8,8,8,8,8,8,16,8,16,8,8,8,8,8,8,8,8,8,16,8,32,32,16,16,7,9,2,14,14,
1,1,3,1,3,21,2,1,2,1,1,4,4,2,2,4,2,2,2,6,2,2,6,2,4,42,2,2,2,2,42,6,2,4,2,2,4,
2,2,2,2,4,4,4,8,4,4,4,4,4,8,4,4,4,4,12,4,8,4,4,4,8,8,12,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,4,12,4,4,8,4,8,4,4,4,4,4,4,8,8,8,8,8,16,8,16,1,7,7,1,1,1,1,1,1,1,1,
1,2,2,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,6,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,72,24,7,11,21,36,28,36,136,32,32,128,1,4,
6,16,17,11,16,8,34,12,16,14,8,32,8,8,8,36,32,8,24,20,28,16,20,20,32,16,12,24,
24,40,32,24,8,56,40,32,32,32,64,16,16,48,1,4,1,4,3,2,2,3,5,4,5,1,8,4,4,4,14,8,
4,16,4,8,10,8,4,2,4,10,2,10,6,8,8,12,6,8,8,8,8,16,16,16,12,16,12,8,12,12,16,
20,4,8,24,8,16,8,8,24,8,8,8,16,12,8,4,8,16,12,8,24,8,12,8,8,8,12,16,8,24,16,8,
16,8,24,16,16,8,8,16,32,16,16,24,8,32,16,16,16,8,8,24,16,16,24,8,24,16,8,8,32,
8,24,16,16,16,32,16,16,32,16,1,1,2,2,2,3,1,1,1,4,6,1,1,3,1,3,4,4,4,2,2,2,6,4,
2,4,6,2,6,4,2,6,6,6,4,8,4,8,2,8,4,2,4,2,2,2,2,2,2,2,2,4,6,6,2,8,4,4,8,4,8,12,
4,8,16,4,4,12,4,4,4,4,8,8,8,4,4,8,8,12,4,8,4,8,4,8,4,12,4,8,8,4,8,4,8,4,8,4,4,
4,4,8,4,8,8,4,4,4,4,4,8,8,4,12,4,4,12,8,4,8,4,8,4,4,8,8,8,8,8,8,8,8,8,16,8,8,
8,8,8,8,8,16,16,8,8,16,8,16,8,8,16,16,8,16,16,16,16,16,8,16,8,16,1,1,1,1,3,1,
1,1,1,1,2,2,2,1,1,1,2,3,1,2,2,6,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,8,4,4,4,4,
8,4,8,4,4,4,4,4,4,4,4,8,4,8,8,4,4,4,4,4,4,4,4,8,8,1,2,1,1,2,1,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,7,40,24,7,11,37,20,28,36,40,32,32,1,6,6,6,25,27,8,16,10,16,4,14,8,8,8,
8,20,8,16,32,20,44,8,20,20,8,24,12,24,24,24,32,24,8,8,24,32,32,16,16,16,7,3,2,
7,2,2,3,23,2,5,3,4,12,4,2,8,4,4,4,10,8,12,6,4,10,2,10,6,16,4,4,6,8,8,8,8,8,16,
4,12,8,12,12,12,4,8,8,16,8,24,8,8,12,12,24,12,24,16,12,8,12,32,8,8,24,8,8,8,
24,24,24,16,32,8,8,24,8,8,8,8,8,8,24,16,16,16,16,7,2,2,5,6,3,3,2,2,3,3,3,4,4,
4,6,6,2,2,8,6,4,6,6,6,6,4,8,4,2,4,2,4,2,8,4,2,6,2,2,4,4,6,4,4,4,4,4,4,4,4,12,
4,4,4,8,4,4,12,4,8,16,4,12,4,12,4,12,4,12,8,8,4,4,12,12,4,12,12,4,16,16,8,8,8,
24,8,8,8,8,8,8,8,16,1,1,1,1,2,1,1,3,3,2,2,3,2,3,1,2,6,2,6,2,2,2,2,4,2,6,6,6,2,
2,6,6,4,2,2,4,6,6,2,2,4,2,8,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,3,3,1,
3,2,2,1,2,2,2,2,2,2,2,2,2,6,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,7,40,40,7,7,41,20,
32,20,60,40,32,32,32,96,1,4,10,21,31,24,10,12,10,8,24,8,8,20,40,20,44,8,20,20,
32,44,40,24,48,24,24,40,24,40,48,48,16,64,64,2,9,5,7,11,21,5,5,4,12,4,6,6,6,
10,26,10,10,6,12,4,10,8,8,8,20,20,20,20,12,8,24,12,24,12,12,8,20,20,32,20,12,
20,24,24,24,8,32,8,24,32,8,24,24,8,24,8,8,24,24,24,8,8,8,16,16,16,16,7,6,2,2,
5,6,5,11,5,2,5,5,4,4,6,6,6,6,6,4,6,10,6,6,6,6,6,8,4,6,6,6,4,4,12,12,4,4,12,12,
4,12,12,20,20,12,4,4,12,16,20,20,4,12,4,24,20,20,8,8,8,24,8,8,8,8,8,8,8,16,1,
1,1,1,2,2,2,3,5,1,3,5,3,1,6,6,2,2,6,6,6,6,6,2,6,2,10,2,8,2,4,6,10,6,6,2,6,2,6,
6,4,4,4,4,4,4,4,4,4,4,4,4,1,1,3,5,3,3,2,1,2,2,2,2,2,2,2,2,2,2,6,2,4,4,1,1,1,1,
1,1,1,1],[1,15,72,8,35,9,27,36,12,12,216,224,32,64,15,7,2,21,27,27,36,28,54,
42,42,6,72,56,64,84,12,12,108,4,84,12,4,4,12,84,4,112,24,16,24,16,24,16,16,16,
16,32,16,16,16,32,1,1,9,7,7,9,8,14,1,3,21,1,21,28,28,28,28,6,4,6,6,54,42,2,4,
54,6,4,4,2,2,42,6,42,6,56,4,4,84,8,8,4,12,4,4,4,4,8,4,12,84,4,12,84,8,12,84,4,
4,4,84,4,8,12,84,12,8,12,4,84,8,8,8,168,168,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,32,32,16,16,7,1,9,2,2,1,1,21,21,1,21,3,1,1,1,1,1,28,28,2,2,
2,2,4,2,2,2,42,2,2,2,6,2,2,2,2,2,2,6,2,6,2,4,2,2,2,2,2,42,42,4,2,4,56,4,4,4,8,
4,4,4,4,4,8,4,4,4,4,4,12,4,4,4,4,4,4,8,8,12,4,4,4,4,4,84,4,8,4,4,4,4,4,4,4,4,
8,4,8,8,84,4,84,84,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,16,1,7,7,1,1,1,1,1,1,2,2,1,1,1,1,21,1,28,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,72,40,35,9,27,36,32,60,60,216,
32,96,32,288,15,3,10,9,27,27,36,12,54,18,18,30,8,24,72,8,24,24,36,36,4,108,44,
36,4,44,44,36,36,44,48,120,24,72,8,24,72,72,72,72,72,72,144,16,176,16,144,64,
64,1,2,3,9,3,3,9,6,6,6,11,9,9,11,9,18,18,2,18,18,54,18,22,18,54,30,18,18,22,
22,18,2,18,30,8,8,4,36,36,36,4,4,44,44,44,4,36,44,4,36,4,4,36,36,4,4,36,12,4,
4,36,4,36,36,36,12,4,4,4,36,8,72,72,72,8,8,72,72,72,8,8,72,8,8,8,24,8,72,72,8,
8,8,24,72,72,72,8,8,72,24,8,16,16,144,16,16,16,144,16,144,16,144,16,3,9,6,10,
6,6,6,11,9,9,9,9,9,9,9,11,12,4,12,2,2,18,18,18,18,18,22,18,2,18,18,2,18,2,6,
18,18,18,18,18,18,2,2,18,18,2,22,22,18,18,18,18,6,24,36,36,4,36,36,4,4,4,36,
36,4,44,4,36,4,4,36,4,36,36,4,36,4,4,12,36,36,4,4,36,36,4,36,36,4,4,4,4,4,4,4,
4,4,36,4,36,4,36,4,36,4,12,36,4,4,4,4,36,36,4,36,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,72,8,72,8,16,16,16,1,2,3,3,3,1,6,6,6,3,1,9,1,9,9,9,9,9,
11,4,4,2,18,18,2,2,18,18,18,2,18,2,18,2,18,18,18,2,2,2,2,2,2,2,18,2,18,2,2,2,
18,18,2,2,2,18,4,4,4,4,36,36,36,4,4,4,36,4,4,4,4,4,4,4,4,4,4,36,4,36,4,4,4,4,
4,36,4,4,4,4,4,4,4,4,4,4,4,4,36,4,4,4,8,8,8,8,3,1,6,1,1,1,1,1,9,1,9,1,2,2,2,2,
2,2,2,2,2,2,2,18,2,18,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,7,72,40,7,7,25,36,32,20,60,136,32,32,32,224,1,2,10,10,13,15,8,16,34,8,
12,10,8,24,32,8,8,36,24,24,32,20,28,16,20,20,24,24,44,40,24,16,16,24,72,16,40,
56,40,112,48,16,32,64,64,2,3,4,3,2,3,11,3,2,5,3,8,4,4,4,18,14,12,12,6,4,10,18,
6,10,6,4,8,8,10,8,8,8,8,8,16,20,8,8,4,20,20,8,8,12,16,16,8,8,8,12,24,8,8,8,8,
12,16,4,8,12,4,16,24,12,12,16,16,8,20,8,16,16,16,8,32,16,16,24,32,8,16,16,16,
32,24,24,16,16,16,8,8,32,16,32,24,8,40,8,8,40,16,24,32,24,8,8,24,16,32,16,32,
16,16,1,1,6,2,2,2,3,1,3,9,2,6,3,3,1,3,5,4,4,8,2,6,2,6,6,10,6,4,6,4,2,2,2,6,6,
6,4,4,4,8,4,6,2,2,2,6,6,6,2,6,12,4,8,12,8,4,8,8,4,4,12,4,4,4,8,4,12,12,16,8,
12,4,12,8,4,4,8,8,4,8,16,16,4,8,4,4,12,8,4,16,4,4,8,12,8,4,4,4,4,4,8,4,16,4,8,
4,4,12,8,8,16,24,8,16,32,8,8,8,8,8,8,16,8,16,8,8,8,8,16,8,16,8,8,16,8,8,8,16,
16,16,8,8,16,16,1,1,1,1,1,1,3,1,3,3,1,2,2,3,3,1,1,2,6,6,2,2,2,6,6,6,6,4,2,2,2,
2,2,2,2,2,2,2,6,8,2,2,2,6,2,2,6,2,2,6,6,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,
4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,8,4,8,4,4,4,4,8,4,8,8,1,1,2,2,3,1,1,1,1,1,3,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,15,40,24,35,5,15,20,36,36,120,32,32,64,15,1,6,3,15,15,20,4,30,6,6,18,8,
40,8,8,12,12,20,60,12,12,20,12,12,12,12,12,16,72,24,16,40,24,16,24,16,16,16,
16,32,48,32,1,1,5,1,1,5,2,3,3,3,3,3,6,4,10,6,30,6,6,4,30,18,4,4,6,6,6,10,6,18,
8,8,4,4,8,8,4,20,12,12,12,4,8,12,20,12,4,20,8,12,4,4,4,12,4,4,8,20,12,12,8,12,
20,4,4,12,8,16,8,24,24,8,8,8,8,8,8,8,24,8,8,8,8,8,16,24,16,8,8,24,16,32,32,16,
16,1,5,6,2,3,1,3,1,3,3,2,1,2,1,3,4,4,2,4,2,2,4,2,2,6,6,2,2,10,2,2,4,6,2,2,2,2,
6,2,10,2,4,2,6,6,4,4,6,4,4,8,4,4,4,8,12,4,20,4,8,4,4,4,4,4,12,8,8,20,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,8,8,4,8,12,12,4,8,4,8,4,4,4,4,4,8,8,8,8,8,8,
16,8,8,8,8,1,1,1,3,1,1,1,1,1,1,1,2,2,1,2,2,1,1,3,4,4,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,4,2,10,2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,72,
24,7,3,29,36,32,28,36,136,32,96,1,4,6,9,19,24,34,12,14,24,32,8,20,24,16,40,12,
44,24,12,12,24,32,36,24,16,32,72,24,24,24,48,16,48,32,2,3,4,5,3,9,3,3,5,4,12,
4,18,6,8,12,6,10,4,18,10,4,8,6,10,12,12,6,8,12,8,4,12,12,12,16,8,8,20,24,24,4,
12,8,12,4,32,24,20,16,4,20,8,24,24,8,24,24,16,8,24,40,16,8,24,32,8,24,8,8,24,
8,8,24,32,8,40,1,6,2,2,2,2,3,6,5,9,6,2,3,4,3,3,4,4,6,6,6,10,4,6,2,2,6,6,8,4,6,
4,4,6,6,6,6,20,16,4,8,8,4,4,12,4,8,12,16,12,4,4,4,12,4,16,12,4,4,4,4,12,12,8,
4,12,4,4,4,12,4,4,12,12,8,4,12,32,8,24,8,8,8,8,8,8,8,1,1,1,1,2,2,3,1,1,3,3,2,
1,2,1,6,6,6,6,6,6,2,8,2,2,2,4,2,4,2,2,6,6,4,6,2,2,2,2,6,2,2,2,6,6,2,2,4,2,4,4,
4,4,8,4,4,4,4,4,4,4,4,1,2,1,3,1,1,1,2,2,3,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,1,1,
1,1,1,1,1,1],[1,7,40,24,7,11,37,20,32,28,36,40,32,96,1,2,6,10,25,27,8,16,10,8,
12,14,24,8,36,16,32,12,28,8,12,12,24,36,24,16,32,24,16,24,24,24,48,16,48,2,9,
3,2,7,9,21,2,3,3,8,4,4,4,6,6,8,6,4,10,4,18,6,4,8,6,10,4,4,8,6,8,4,16,12,4,12,
12,12,4,8,12,8,16,4,16,8,20,8,4,4,12,4,4,20,12,16,12,8,12,4,20,16,16,8,8,24,8,
8,8,8,16,8,8,24,24,8,8,8,24,8,8,1,7,6,2,2,2,3,1,3,9,2,3,3,1,3,3,4,6,2,8,4,6,6,
6,6,2,6,4,6,4,10,4,2,4,2,6,2,4,2,4,6,4,4,4,4,4,12,4,4,4,8,12,4,8,12,12,4,12,8,
4,4,8,4,4,12,4,4,4,4,8,12,12,4,4,4,4,4,4,4,4,16,12,12,4,8,8,8,8,8,8,8,1,1,1,1,
1,1,3,3,3,1,1,3,3,2,1,2,1,6,6,6,2,2,2,2,2,2,6,2,2,4,2,2,2,4,6,2,6,2,6,6,2,2,2,
2,2,2,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,1,1,3,1,3,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,3,24,32,80,1,18,32,36,48,96,6,9,12,24,36,64,16,8,
8,16,32,128,32,2,3,3,9,18,12,24,24,6,9,16,32,2,8,12,8,8,12,1,6,8,1,1,2,1],[1,
15,60,32,8,35,90,90,72,24,128,48,96,15,15,45,18,18,180,54,54,16,2,40,8,24,24,
96,1,45,45,54,54,16,32,6,12,24,24,96,15,9,27,8,16,2,2,6,6,24,9,8,8,6,6,1,6,1,
2,1],[1,15,12,80,32,35,16,18,18,96,48,15,3,9,12,12,36,64,8,4,100,32,16,16,64,
1,1,3,3,9,9,9,24,12,12,12,3,3,9,32,16,5,4,1,8,12,4,4,12,1,3,3,4,4,1,1,1,1,1],[
1,15,36,32,8,35,54,54,72,24,96,48,15,9,27,108,36,36,16,2,40,8,24,24,1,27,27,
18,18,16,6,12,24,72,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,15,48,36,32,8,35,6,
18,24,54,54,144,144,8,24,24,96,48,48,15,9,18,18,24,36,27,48,72,108,36,36,36,
36,36,36,72,72,16,2,40,8,24,24,24,24,24,24,48,48,1,6,6,9,36,9,36,27,9,9,27,18,
18,18,18,18,18,72,72,16,32,2,6,6,8,12,12,24,24,24,24,72,24,24,6,9,9,9,18,18,
18,18,18,8,16,2,2,6,6,6,6,6,6,12,12,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,1],[
1,15,72,24,64,35,9,27,36,32,36,36,216,96,288,192,15,3,6,9,27,27,36,12,54,18,
18,18,24,72,24,24,36,36,108,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,
144,144,144,16,64,128,1,2,3,9,3,3,9,6,6,6,9,9,9,9,9,18,18,18,18,54,18,18,18,
54,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,48,3,9,6,6,6,6,6,9,9,9,
9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,72,72,8,12,16,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,12,24,24,3,6,9,9,18,18,1,8,
12,1,3,1],[1,15,72,24,64,35,9,27,36,32,36,36,216,96,288,192,15,3,6,9,27,27,36,
12,54,18,18,18,24,72,24,24,36,36,108,36,36,36,36,36,36,36,48,72,72,72,72,72,
72,72,72,144,144,144,16,32,64,96,1,2,3,9,3,3,9,6,6,6,9,9,9,9,9,18,18,18,18,54,
18,18,18,54,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,48,48,48,96,
96,96,192,3,9,6,6,6,6,6,9,9,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,16,32,48,48,96,96,1,2,3,3,
3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,12,24,3,6,9,9,18,18,4,8,12,12,24,24,1,1],[1,15,72,24,64,35,9,
27,36,32,36,36,216,96,288,192,15,3,6,9,27,27,36,12,54,18,18,18,24,72,24,24,36,
36,108,36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,144,144,144,80,64,64,1,
2,3,9,3,3,9,6,6,6,9,9,9,9,9,18,18,18,18,54,18,18,18,54,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,
72,72,72,72,72,144,144,144,144,48,3,9,6,6,6,6,6,9,9,9,9,9,9,9,9,9,12,12,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,24,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,4,
4,12,16,1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,36,36,36,36,12,12,12,24,3,6,9,9,18,18,1,4,4,12,1,3,1],[1,7,
24,24,64,7,3,21,12,32,60,36,24,96,64,1,6,9,15,12,6,30,24,12,12,24,12,12,12,12,
12,12,36,24,24,24,24,24,48,48,48,16,128,64,2,3,3,3,9,3,3,3,6,6,6,6,6,12,18,6,
12,6,18,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,16,
1,6,2,2,6,3,3,9,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,8,12,16,1,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,1,3,3,6,
6,1,4,8,3,1,1],[1,7,24,24,64,7,7,33,12,32,12,36,24,96,64,1,6,21,27,12,6,6,24,
12,24,12,12,12,12,12,36,24,24,24,24,24,24,48,48,16,128,64,2,9,3,7,9,21,3,3,6,
6,6,6,18,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,16,7,6,2,2,3,
3,9,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,8,12,16,1,1,3,3,
3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,7,24,24,64,7,7,33,12,12,36,24,32,
32,64,1,4,6,21,27,16,6,12,6,8,8,8,12,24,12,36,12,12,24,12,24,24,24,24,24,24,
16,32,32,64,7,3,7,3,21,3,3,4,12,4,6,12,6,6,12,6,8,8,8,12,12,12,12,12,24,12,12,
12,12,24,12,12,12,24,24,24,24,24,24,24,24,16,16,16,32,32,32,7,3,6,3,3,3,3,3,4,
4,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,24,4,16,16,16,32,32,
32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,7,72,
24,64,7,3,45,36,32,12,36,72,96,96,128,64,1,12,6,9,27,48,18,36,6,24,24,36,72,
12,108,24,12,12,72,36,24,48,24,24,24,24,48,48,16,128,64,2,3,9,3,9,3,3,9,12,36,
12,6,6,6,18,18,18,6,6,36,12,6,24,12,12,12,12,12,24,24,12,72,36,24,12,12,72,12,
36,24,72,24,48,24,48,24,24,24,24,24,24,24,24,24,16,32,1,6,2,2,3,18,9,9,3,6,3,
3,12,6,6,6,6,12,6,6,6,6,6,12,12,18,6,12,12,12,12,12,12,12,12,12,12,12,12,24,
12,12,36,24,12,12,24,24,24,24,24,8,12,16,1,3,6,6,3,3,3,3,3,6,6,6,6,6,6,6,12,6,
12,6,6,6,6,6,6,12,12,12,12,8,4,8,16,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,2,1],[1,7,
24,72,64,7,3,21,12,32,36,108,24,96,96,96,64,128,1,18,9,15,12,6,18,24,24,24,12,
24,36,12,36,36,12,60,72,72,24,72,24,24,24,24,48,48,48,192,192,16,128,64,2,3,3,
3,15,3,9,3,6,6,6,6,18,6,18,6,18,24,24,12,12,36,36,12,12,12,36,12,12,12,12,36,
12,24,24,24,24,72,24,24,24,72,24,24,24,72,24,48,48,48,48,16,32,128,1,6,2,2,3,
3,9,3,3,9,12,6,6,6,6,6,6,6,6,18,6,6,6,18,12,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,12,24,24,24,24,24,24,24,48,8,12,16,1,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,4,8,8,8,16,1,3,3,6,6,6,6,12,1,4,8,3,1,2,1],[1,7,72,
24,64,7,15,33,36,32,12,36,72,96,96,64,64,64,1,6,6,30,21,15,24,24,18,24,36,6,
24,24,84,36,48,12,60,12,12,12,48,36,24,24,24,24,24,24,48,48,16,128,64,2,3,3,6,
3,9,3,6,3,3,24,12,12,12,6,6,18,6,12,18,18,6,6,6,12,6,24,6,24,12,48,12,12,12,
12,12,12,12,48,12,12,24,12,24,12,36,12,12,12,24,12,12,36,36,24,48,24,24,24,24,
24,24,24,24,24,24,24,24,16,16,16,3,1,6,2,2,3,3,3,9,6,9,3,3,3,3,12,18,6,18,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,24,24,8,12,16,1,3,3,3,9,3,9,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,4,4,12,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,
1],[1,7,56,24,64,7,3,21,28,32,12,36,120,96,64,128,1,6,9,15,12,30,6,24,32,12,
24,12,24,12,12,12,12,12,24,12,36,24,72,24,24,24,48,48,16,128,64,2,3,4,3,3,9,3,
3,3,18,6,6,12,6,6,18,6,6,6,6,6,12,12,12,12,12,12,24,12,12,24,12,12,12,24,24,
24,24,24,24,24,24,24,24,24,24,16,32,1,6,2,2,2,3,3,9,6,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,8,12,16,1,1,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,4,8,8,8,1,2,3,3,6,1,4,1,1,2,1],[1,15,24,64,64,35,3,9,12,16,
96,96,72,96,48,48,128,64,15,16,9,9,12,18,48,24,12,24,24,12,36,36,36,36,36,192,
72,12,72,12,12,12,12,12,24,24,144,24,24,96,96,80,64,64,1,1,3,3,3,3,9,9,3,9,18,
18,3,18,48,3,3,18,18,48,24,24,6,6,36,36,36,6,36,6,36,6,6,36,12,12,12,12,72,12,
72,12,12,12,12,72,12,24,24,24,24,24,24,24,24,24,24,16,96,64,3,1,16,1,3,9,9,2,
12,3,3,18,3,18,3,3,18,18,3,9,3,3,18,6,6,6,6,6,6,6,36,6,6,6,6,36,6,6,6,6,6,6,
36,6,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,12,16,1,3,9,9,12,12,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,4,4,4,8,8,8,3,1,3,3,3,3,3,6,
6,6,6,1,4,4,4,3,1,2,1],[1,15,24,16,64,35,3,9,12,16,24,24,72,48,48,64,15,4,9,9,
12,18,12,12,24,12,12,36,12,12,12,12,12,48,12,24,12,12,12,12,12,24,24,48,24,24,
80,64,64,1,1,3,3,3,3,3,3,3,6,9,18,6,3,18,12,3,3,6,6,6,12,6,6,12,12,12,12,6,12,
12,12,6,12,6,12,6,12,12,12,12,12,12,24,12,12,12,12,12,12,24,24,16,3,1,4,1,3,3,
3,2,6,3,3,6,3,6,6,3,6,3,6,6,3,9,3,3,6,6,6,6,6,6,6,12,6,6,12,6,6,12,6,6,12,6,
12,12,6,6,6,6,12,12,12,12,4,4,12,16,1,3,3,3,3,6,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,3,40,48,64,1,12,18,12,32,12,
48,24,48,48,96,64,64,64,6,18,9,12,12,18,24,4,12,36,42,12,6,6,12,42,12,24,12,
12,12,24,24,24,24,24,96,16,128,64,2,3,3,9,12,12,18,18,18,6,12,6,6,6,12,12,36,
6,6,6,42,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,16,16,
16,64,3,6,1,9,9,18,18,3,3,3,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,12,8,12,16,1,9,9,3,3,3,3,6,6,6,6,6,6,6,6,12,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,
1,1],[1,3,40,48,64,1,30,12,32,12,48,24,48,48,96,64,64,64,6,6,9,24,6,24,4,12,6,
12,12,36,18,6,12,12,42,12,24,24,36,12,12,24,24,24,24,96,16,128,64,2,3,3,9,12,
18,6,6,6,6,12,12,12,6,12,12,6,18,6,12,6,6,12,12,24,12,36,12,12,12,12,12,24,12,
12,12,12,12,12,12,12,12,24,24,24,16,16,16,64,6,1,3,9,3,3,6,6,6,3,3,6,6,12,6,6,
6,6,6,6,12,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,8,12,16,1,3,3,3,3,3,6,3,6,
6,6,6,6,6,6,6,6,4,4,8,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,104,24,16,35,13,
39,52,36,36,312,224,192,16,48,48,32,32,15,7,6,21,39,39,52,28,78,42,42,18,104,
56,64,84,36,12,156,12,84,12,12,12,36,84,12,112,72,48,24,48,72,48,48,48,48,96,
48,96,4,16,8,16,16,16,48,48,16,32,32,1,3,13,7,7,13,8,14,3,9,21,3,21,28,28,28,
28,18,12,6,18,78,42,6,12,78,18,12,12,6,6,42,6,42,18,56,12,12,84,24,24,12,12,
12,12,12,12,24,12,12,84,12,12,84,24,36,84,12,12,12,84,12,24,12,84,36,24,12,12,
84,24,24,24,168,168,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,96,96,48,48,4,4,12,12,4,16,8,8,8,16,16,16,16,16,16,16,16,7,3,13,6,6,3,3,21,
21,3,21,9,3,3,3,3,3,28,28,6,6,6,6,12,6,6,6,42,6,6,6,6,6,6,6,6,6,6,18,6,6,6,12,
6,6,6,6,6,42,42,6,56,12,12,24,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,24,
24,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,24,84,12,84,84,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,8,8,8,8,8,16,3,7,7,3,3,3,3,3,3,
3,3,3,3,21,3,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
12,12,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,3,56,24,16,1,10,12,4,24,12,72,
96,16,48,48,32,32,2,12,6,3,4,4,6,6,12,12,8,12,24,6,12,18,18,12,6,12,12,36,24,
36,24,24,24,24,24,16,16,16,16,48,48,16,32,32,1,2,2,3,3,4,4,6,6,6,6,6,12,18,12,
6,12,6,12,12,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,24,12,12,12,24,12,12,36,
12,12,24,24,24,4,8,16,8,16,16,16,16,16,16,1,3,3,3,3,3,6,6,6,6,3,6,6,6,6,6,12,
6,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,8,8,4,4,4,4,4,8,4,4,8,8,8,
16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,8,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,15,104,24,16,35,13,39,52,36,36,312,96,192,16,48,48,32,32,15,3,6,9,
39,39,52,12,78,18,18,18,104,24,36,84,12,156,12,36,12,12,12,84,36,12,48,72,48,
24,48,168,48,48,48,48,96,48,96,4,16,16,16,16,48,48,16,32,32,1,7,13,3,3,13,6,3,
21,9,3,9,42,12,6,42,78,18,6,12,78,18,12,12,6,6,18,6,18,18,12,24,24,12,12,12,
12,24,12,12,36,12,24,84,12,24,12,36,84,24,12,36,24,72,72,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,96,96,48,48,4,12,12,16,8,8,16,16,16,16,16,16,
7,13,6,14,14,3,3,9,3,9,21,3,3,3,12,6,6,12,6,6,6,18,6,6,6,6,42,6,6,6,6,42,6,6,
12,6,6,6,6,6,6,12,12,24,12,12,12,12,24,12,12,12,12,12,12,12,24,24,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,12,36,12,12,12,12,12,12,12,12,24,24,24,24,1,
4,4,4,12,12,4,4,8,8,16,1,7,7,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,
6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,
3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,56,48,16,1,
4,18,4,32,12,48,72,48,48,96,16,48,48,32,32,6,6,9,4,12,6,24,12,12,12,30,12,18,
6,36,42,12,24,12,12,36,24,24,24,24,24,96,8,16,16,16,16,48,48,16,32,32,2,3,3,9,
4,4,6,18,6,6,12,6,6,6,12,12,12,6,18,18,18,12,36,12,12,12,48,36,12,12,12,12,12,
36,12,12,12,12,12,24,24,24,12,16,24,16,16,16,16,16,16,16,1,6,3,9,3,6,6,3,9,3,
18,12,6,6,6,6,18,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,8,4,4,12,12,4,4,12,
8,8,16,1,3,3,9,3,3,9,6,6,6,6,6,6,6,6,4,4,12,4,4,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,15,56,48,16,35,7,21,28,48,72,72,168,32,48,144,16,48,48,32,32,15,12,21,
21,28,42,36,8,36,56,8,36,84,36,36,36,36,144,24,36,24,36,36,36,36,36,72,24,144,
24,72,96,96,4,16,8,16,16,16,48,48,16,32,32,1,3,7,7,9,9,9,9,9,27,42,18,9,42,36,
9,9,18,18,36,8,8,18,18,36,36,36,18,36,18,12,18,18,12,12,36,12,36,24,12,24,36,
12,12,36,24,12,24,24,72,24,24,24,72,24,24,24,4,12,12,16,8,8,8,8,16,16,16,16,
16,16,16,16,7,3,12,3,9,9,9,6,4,9,9,18,9,6,9,9,18,18,9,27,9,9,6,18,6,18,18,6,
18,6,36,18,6,18,18,12,18,18,18,18,6,18,12,6,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,4,4,4,12,12,4,4,8,8,8,8,8,8,8,8,16,3,1,3,9,4,4,9,9,9,9,3,3,9,6,18,6,
6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,
1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,15,56,35,7,21,28,168,224,64,15,7,21,21,
21,28,28,42,42,42,56,56,64,84,84,84,84,112,64,1,7,7,7,7,8,14,21,21,28,28,28,
28,42,42,42,42,42,56,84,84,84,84,84,84,84,168,168,7,7,21,21,21,28,28,42,42,42,
56,84,84,84,84,8,8,7,7,21,28,8,8,1,1],[1,15,56,35,7,21,28,168,64,15,21,21,28,
42,56,84,84,84,168,64,1,7,7,7,21,42,42,42,42,84,84,7,7,14,14,21,42,42,8,1,7,7,
8,1,1,1],[1,15,60,160,35,80,90,90,96,160,15,15,45,60,60,180,96,200,320,1,5,15,
15,45,45,45,120,15,15,45,10,20,60,16,48,5,6,10,6,5,1],[1,15,60,40,35,90,90,40,
96,120,80,15,15,45,10,10,180,30,30,96,10,40,40,40,40,1,45,45,30,30,30,20,40,
40,40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,15,20,16,35,30,30,120,16,80,15,5,
15,60,60,60,16,20,80,16,1,15,15,30,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,
1,1],[1,15,136,40,35,17,51,68,32,60,60,408,32,288,32,416,15,9,10,27,51,51,68,
36,102,54,54,30,8,24,136,8,24,72,64,108,108,28,204,44,108,28,44,44,108,108,44,
144,120,24,104,56,24,104,216,104,104,104,104,208,16,176,16,208,64,64,1,2,9,17,
9,9,17,8,6,6,18,11,27,27,11,27,28,28,28,28,54,26,14,54,18,102,54,22,26,102,30,
26,26,22,22,54,14,54,30,8,8,56,20,44,84,52,52,20,28,44,44,44,20,52,44,28,108,
20,28,84,52,108,84,20,12,44,12,20,84,20,52,28,108,108,52,12,28,20,12,108,40,
40,88,216,216,40,8,88,88,72,40,8,72,40,24,56,40,56,24,40,88,88,8,40,40,40,56,
24,40,88,56,72,56,88,8,8,56,72,56,24,8,40,56,16,16,208,16,16,16,208,16,176,16,
176,16,7,9,17,6,10,18,6,6,14,11,11,21,27,11,27,27,5,11,5,11,11,12,28,4,36,10,
10,14,6,22,26,18,22,22,22,54,10,18,22,14,14,22,6,10,6,42,18,22,22,22,22,54,10,
14,22,26,10,22,22,10,14,18,42,18,42,18,10,18,6,14,10,24,56,28,44,36,4,52,28,
36,12,28,4,12,28,44,52,4,28,44,20,36,4,28,44,20,20,44,36,20,36,28,20,12,12,52,
52,28,20,44,44,20,44,28,36,12,12,20,84,28,20,20,12,20,20,20,20,44,20,36,12,20,
44,12,4,20,20,52,12,20,12,108,28,84,84,28,20,20,20,20,20,4,28,44,28,44,20,44,
40,56,8,8,40,40,40,8,8,8,40,40,40,40,8,40,40,24,8,40,8,8,8,8,8,8,8,24,40,8,8,
24,40,8,40,24,40,40,40,24,88,24,40,40,40,72,8,16,16,16,1,1,2,9,7,3,9,1,7,6,2,
6,6,3,5,5,3,3,3,11,5,3,5,3,11,9,5,5,11,5,9,5,11,3,21,11,4,28,4,6,18,10,14,10,
18,2,6,18,22,18,10,6,14,18,10,22,10,18,18,18,10,10,6,10,6,6,10,6,10,10,2,10,
10,10,10,14,6,6,26,10,6,6,14,22,10,14,10,2,6,10,6,2,10,6,2,18,10,10,10,6,22,6,
10,10,10,2,18,20,20,12,4,12,12,4,12,4,12,20,12,12,44,12,20,36,20,36,20,12,12,
12,4,20,4,20,36,4,4,12,4,20,20,4,12,20,4,4,12,4,12,4,36,20,4,12,20,36,20,4,20,
20,12,20,4,4,28,4,44,4,12,20,12,20,4,12,4,4,20,4,20,28,20,4,4,20,20,44,28,4,
20,4,4,28,40,8,8,40,8,8,1,1,1,3,1,1,6,2,2,2,3,3,3,3,3,3,5,5,5,5,1,3,3,3,3,5,3,
11,5,5,3,5,5,3,3,9,5,1,3,10,6,2,2,2,6,2,6,6,2,10,6,6,2,6,6,2,6,2,2,6,6,2,10,2,
2,10,6,2,6,10,10,2,18,6,2,2,6,6,2,18,2,2,6,6,10,6,2,6,6,6,2,6,2,6,2,6,14,6,6,
2,10,6,6,6,2,10,10,2,4,4,20,4,20,4,12,4,4,4,4,4,4,4,12,12,4,1,1,1,1,1,3,5,3,1,
1,1,3,3,1,1,5,3,1,1,1,3,3,1,1,1,1,1,3,3,1,3,3,1,3,1,2,6,2,6,2,2,6,2,2,2,2,6,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,48,24,32,80,1,18,32,36,72,16,48,
48,192,96,6,9,12,24,12,18,18,36,36,36,64,16,8,8,16,32,128,32,48,48,2,3,3,9,18,
18,18,36,36,36,36,64,12,16,48,24,24,6,3,9,9,18,18,16,32,2,8,12,8,8,12,12,12,1,
9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,3,24,24,32,80,1,12,18,12,32,36,64,48,96,
96,6,18,9,12,12,18,24,36,36,36,64,16,8,8,16,32,128,32,48,48,2,3,3,9,12,12,18,
18,18,36,36,64,16,12,24,24,48,3,6,9,9,18,18,16,32,2,8,12,8,8,12,12,12,1,9,9,
16,12,6,12,3,8,1,1,2,1,3,1,1],[1,3,96,32,80,1,18,32,36,72,144,144,48,192,288,
96,6,9,12,24,36,36,18,54,36,72,36,36,72,288,64,16,8,8,16,32,128,32,48,48,96,
96,2,3,3,9,18,18,36,18,36,36,36,36,36,72,72,64,12,48,24,24,48,48,48,96,96,192,
6,9,9,9,18,18,18,36,36,16,32,2,8,12,8,8,12,12,12,24,24,24,24,1,9,9,18,18,16,
32,6,12,12,24,12,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,15,48,60,32,8,35,6,18,24,
90,90,144,72,72,144,8,24,24,128,48,48,96,15,15,18,18,24,36,45,18,48,18,72,180,
54,36,54,36,36,36,36,36,72,36,36,72,144,16,2,40,8,24,24,24,24,24,24,48,48,96,
1,6,6,9,36,9,36,45,9,9,45,18,18,18,18,18,18,18,54,18,54,72,36,36,36,72,36,16,
32,32,2,6,6,8,12,12,24,24,24,24,24,96,24,24,6,15,9,9,9,9,18,18,9,18,18,18,27,
18,18,18,18,8,16,16,16,2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,2,8,
6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,15,84,80,32,35,16,126,126,72,72,96,
288,192,48,15,21,63,18,12,18,12,252,54,54,36,36,144,64,8,4,100,32,16,16,64,96,
96,48,48,1,1,3,3,9,63,63,18,54,18,54,36,36,36,36,64,24,48,12,12,12,96,24,216,
48,96,48,21,3,9,9,9,9,27,18,18,18,18,32,16,5,4,1,8,12,4,4,24,24,12,12,12,12,
12,12,12,1,9,9,9,9,9,9,32,16,18,3,3,12,6,12,24,12,12,12,9,4,4,1,1,1,1,3,3,3,3,
4,4,3,3,3,3,1,1],[1,7,112,7,7,21,112,64,1,21,21,28,112,7,7,21,64,28,7,7,28,8,
1,7,8,7,1,1],[1,7,84,112,7,112,42,126,56,168,112,224,64,1,21,21,14,84,14,84,
42,42,84,336,28,56,112,112,7,21,21,42,42,42,84,84,64,28,56,56,56,112,112,7,7,
21,42,42,7,28,56,8,21,7,7,14,8,16,7,7,1],[1,7,84,112,7,42,42,84,56,224,112,64,
1,7,21,7,21,21,14,84,42,42,21,42,84,28,56,112,7,21,21,21,21,21,21,42,42,42,42,
42,64,28,28,56,28,56,7,7,21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,7,7,1],[1,
15,168,24,64,35,21,63,84,32,36,36,504,96,288,64,192,192,15,3,6,9,63,63,84,12,
126,18,18,18,24,168,24,24,36,252,36,252,36,36,36,36,36,252,36,36,48,72,72,72,
72,504,72,72,72,72,144,144,144,16,32,64,96,192,192,1,2,21,21,3,3,21,6,6,6,9,
63,9,9,9,126,18,18,126,18,126,18,18,18,126,18,18,18,18,18,18,18,18,18,36,36,
36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,252,36,36,36,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,
16,48,48,48,48,64,96,96,96,192,21,21,6,6,42,6,6,42,9,9,9,9,9,63,9,9,9,12,12,
18,18,18,18,18,18,18,18,18,18,18,18,18,126,18,18,18,18,18,126,18,18,18,18,18,
18,18,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,72,72,72,72,72,16,32,48,48,48,48,48,48,48,48,96,96,3,1,2,21,
21,3,3,6,6,6,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,12,16,24,48,48,3,3,6,6,9,9,9,9,9,9,9,9,9,
18,18,18,18,18,18,18,18,18,18,36,4,8,12,12,12,12,24,24,1,3,3,9,9,9,9,4,12,12,
3,1,1],[1,15,168,24,64,35,21,63,84,32,36,36,504,672,288,64,192,192,15,21,6,63,
63,63,84,84,126,126,126,18,24,168,24,168,192,252,36,36,252,36,252,36,36,36,36,
252,36,336,72,72,72,72,72,72,72,72,72,144,144,144,16,64,128,192,192,1,2,3,21,
21,21,21,24,6,6,42,9,9,63,9,63,84,84,84,84,18,18,18,18,18,126,126,18,18,126,
18,18,18,18,18,126,18,126,18,168,36,36,252,36,36,36,36,36,36,36,36,36,36,36,
252,36,36,252,36,36,252,36,36,36,252,36,36,36,252,36,36,36,36,252,72,72,72,
504,504,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,144,144,144,144,16,48,48,64,21,3,21,6,6,6,6,6,9,9,63,63,9,63,9,9,9,9,9,9,
12,84,84,18,18,18,18,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,126,18,126,18,18,18,24,168,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
252,36,36,36,36,36,36,36,36,36,36,36,252,36,252,252,36,36,36,36,36,36,36,36,
36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,8,12,
16,48,48,1,2,3,3,21,21,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,63,9,84,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,12,12,12,16,24,
24,24,3,3,3,3,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,8,12,12,12,24,24,1,9,9,9,9,9,9,18,
18,1,3,3,12,3,1,3,3,1],[1,15,72,72,64,35,9,27,36,32,108,108,216,96,96,96,288,
192,128,15,3,18,9,27,27,36,12,54,18,18,54,24,24,72,24,24,24,36,36,12,108,60,
36,12,60,60,36,36,60,48,216,72,72,24,72,72,72,72,72,72,72,144,48,240,48,144,
192,192,16,32,64,96,64,64,1,2,3,9,3,3,9,6,6,6,15,9,9,15,9,18,18,6,18,18,54,18,
30,18,54,54,18,18,30,30,18,6,18,54,24,24,12,36,36,36,12,12,60,60,60,12,36,60,
12,36,12,12,36,36,12,12,36,36,12,12,36,12,36,36,36,36,12,12,12,36,24,72,72,72,
24,24,72,72,72,24,24,72,24,24,24,72,24,72,72,24,24,24,72,72,72,72,24,24,72,72,
24,48,48,144,48,48,48,144,48,144,48,144,48,48,48,48,96,32,96,96,64,192,64,3,9,
6,18,6,6,6,15,9,9,9,9,9,9,9,15,12,12,12,6,6,18,18,18,18,18,30,18,6,18,18,6,18,
6,18,18,18,18,18,18,18,6,6,18,18,6,30,30,18,18,18,18,18,24,36,36,12,36,36,12,
12,12,36,36,12,60,12,36,12,12,36,12,36,36,12,36,12,12,36,36,36,12,12,36,36,12,
36,36,12,12,12,12,12,12,12,12,12,36,12,36,12,36,12,36,12,36,36,12,12,12,12,36,
36,12,36,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,72,24,72,24,48,48,48,16,32,16,48,16,16,48,16,16,16,96,32,96,32,32,32,1,
2,3,3,3,3,6,6,6,9,3,9,3,9,9,9,9,9,15,12,12,6,18,18,6,6,18,18,18,6,18,6,18,6,
18,18,18,6,6,6,6,6,6,6,18,6,18,6,6,6,18,18,6,6,6,18,12,12,12,12,36,36,36,12,
12,12,36,12,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,12,12,36,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,12,12,24,24,24,24,12,24,16,16,16,32,32,3,3,6,3,
3,3,3,3,9,3,9,3,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,4,8,4,12,12,4,8,24,24,8,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,
15,104,24,64,35,13,39,52,32,36,36,312,96,288,192,128,15,3,6,9,39,39,52,12,78,
18,18,18,24,104,24,24,36,108,12,156,36,36,12,36,36,108,36,36,48,72,72,24,72,
216,72,72,72,72,144,144,144,16,64,128,64,64,1,2,9,13,3,3,13,6,6,6,9,27,9,9,9,
54,18,6,54,18,78,18,18,18,78,18,18,18,18,18,18,6,18,18,36,36,36,12,36,36,36,
36,36,12,36,12,36,108,36,36,12,36,108,36,12,36,72,72,72,24,72,72,72,24,72,24,
24,24,72,72,24,24,72,24,72,24,72,24,72,24,24,144,144,144,144,48,32,64,9,13,6,
6,18,6,6,14,9,9,9,9,9,27,9,9,9,12,12,6,18,18,18,18,18,18,18,18,18,6,6,18,42,
18,18,18,18,18,54,6,18,18,18,18,6,18,18,18,6,18,6,6,24,12,36,36,36,12,36,12,
12,36,36,12,36,36,12,36,36,36,36,12,12,36,36,12,36,36,12,36,12,36,12,12,12,12,
36,36,12,36,12,36,12,36,12,12,12,12,36,12,36,36,24,24,24,72,72,8,12,16,16,16,
1,1,2,9,7,3,3,6,6,6,9,9,9,3,3,9,9,9,9,18,6,6,18,18,18,18,6,6,18,18,6,18,18,18,
6,6,6,6,18,6,6,18,6,6,6,6,18,6,6,6,18,18,12,36,36,36,12,12,36,12,12,36,12,36,
12,12,36,12,12,36,12,12,12,24,24,8,16,1,3,6,2,3,3,3,3,3,9,3,9,3,6,6,6,6,18,18,
6,6,6,6,12,1,8,4,4,12,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,7,104,72,64,7,15,33,
52,32,36,108,168,96,96,96,480,64,64,64,128,128,1,6,18,30,21,15,24,24,42,24,36,
18,24,24,32,24,24,84,24,48,48,36,60,24,36,36,24,48,60,72,72,48,48,72,72,48,72,
120,72,240,48,48,96,192,192,16,128,64,64,64,128,128,2,3,4,3,6,3,15,3,6,9,3,24,
12,12,12,18,30,24,12,6,12,18,18,6,18,6,12,12,24,18,24,24,24,24,24,48,36,24,24,
12,36,36,24,24,12,24,48,24,24,24,12,24,24,24,24,24,36,48,12,24,12,12,24,24,12,
36,24,48,24,36,24,48,48,48,24,48,48,48,24,48,24,48,48,48,48,24,72,48,48,48,24,
24,48,48,48,72,24,72,24,24,72,48,24,48,72,24,24,24,48,96,48,96,48,48,16,16,16,
32,32,64,128,3,1,6,2,2,2,3,3,3,9,6,6,9,3,3,3,9,12,12,24,6,18,6,6,6,18,6,12,6,
12,6,6,6,18,6,6,12,12,12,12,12,6,6,6,6,6,6,18,6,6,12,12,24,12,24,12,24,24,12,
12,12,12,12,12,24,12,12,12,24,24,36,12,12,24,12,12,24,24,12,24,24,24,12,24,12,
12,12,24,12,24,12,12,24,12,24,12,12,12,12,12,24,12,24,12,24,12,12,12,24,24,48,
24,24,48,48,24,24,24,24,24,24,48,24,48,24,24,24,24,48,24,48,24,24,48,24,24,24,
48,48,48,24,24,48,48,8,12,16,16,16,32,32,1,1,3,3,3,3,9,3,3,9,3,6,6,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,12,24,12,12,12,12,12,24,12,12,12,12,24,12,12,12,12,12,12,
12,12,12,24,12,24,12,24,12,12,12,12,24,12,24,24,4,4,12,8,8,8,8,8,16,16,1,3,2,
6,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
1,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,7,72,72,
64,7,7,57,36,96,36,108,72,32,32,96,288,128,64,128,1,4,18,21,39,40,18,12,18,8,
72,8,8,36,72,36,60,24,36,36,48,108,72,24,96,24,72,72,72,72,144,144,48,192,192,
16,32,32,64,64,64,6,13,9,7,27,21,9,9,4,12,4,18,18,18,18,54,18,18,18,12,12,18,
8,8,8,36,36,36,36,36,24,48,36,24,12,12,24,36,36,48,36,12,36,24,24,72,24,48,24,
24,48,24,24,24,24,72,24,24,72,72,24,24,24,24,48,48,48,48,16,16,32,16,32,32,32,
32,64,64,64,7,18,6,6,9,6,9,27,9,6,9,9,4,4,6,18,18,18,18,12,18,18,6,6,6,18,18,
12,12,6,18,6,12,12,12,36,12,12,36,12,12,12,36,36,36,12,12,12,36,24,36,36,12,
12,12,48,36,36,24,24,24,24,24,24,24,24,24,24,24,48,4,16,16,16,16,16,16,16,16,
16,32,32,32,32,32,1,3,1,1,2,6,6,3,9,3,9,9,3,3,6,18,6,6,6,18,18,6,6,6,6,6,18,6,
12,6,12,18,18,6,18,6,18,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,8,
16,16,16,32,3,3,9,9,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,
3,1,3,3,3,3,3,4,4,4,3,1,1],[1,7,104,24,64,7,3,45,52,32,60,36,168,96,96,128,64,
128,1,12,6,9,27,48,42,36,30,24,32,24,36,24,24,72,12,108,48,12,12,24,72,36,24,
48,96,72,24,24,24,48,48,48,96,16,128,64,64,64,2,3,4,9,3,9,3,3,9,12,36,12,18,6,
12,12,6,18,12,18,18,12,24,6,18,36,24,6,24,12,24,12,12,12,12,24,24,24,36,24,72,
12,36,24,12,12,72,24,36,24,12,36,24,72,24,24,24,24,48,24,24,72,48,24,24,48,24,
24,24,24,24,24,24,24,48,24,72,16,32,32,64,1,6,2,2,2,6,3,18,9,9,6,6,3,12,3,3,
12,12,6,6,6,18,12,6,6,6,6,6,12,12,6,12,12,18,6,6,6,36,24,12,24,24,12,12,12,12,
24,12,24,12,12,12,12,12,12,24,12,12,12,12,12,36,12,24,12,12,12,12,12,12,12,12,
36,12,24,12,12,48,24,24,24,24,24,24,24,24,24,8,12,16,16,16,1,1,3,3,6,6,3,3,3,
3,3,6,3,6,3,6,6,18,6,6,6,6,12,6,6,6,12,6,12,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,6,12,12,12,12,24,12,12,12,12,12,12,12,12,8,4,8,16,8,8,16,1,2,3,3,3,3,3,
6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,
1,1,1],[1,7,72,24,64,7,19,45,36,60,36,72,32,32,64,64,64,1,10,6,18,33,27,24,16,
18,24,12,30,8,8,24,8,36,24,48,48,36,60,24,36,36,24,24,12,24,24,72,48,24,24,24,
72,48,48,48,48,48,16,32,32,64,64,64,7,3,6,7,6,6,3,27,6,9,3,4,12,4,6,24,12,12,
12,18,24,12,6,12,30,6,18,18,24,12,12,6,8,8,8,24,24,24,12,12,24,12,12,36,12,24,
24,24,24,24,24,24,12,12,48,12,24,24,12,24,12,48,24,24,24,24,24,24,24,24,24,48,
48,24,24,24,24,24,24,24,24,24,24,48,48,48,48,16,16,16,16,16,32,32,32,64,7,6,6,
9,6,3,3,6,6,3,3,3,4,4,12,6,18,6,6,24,6,12,6,6,6,18,12,24,12,6,12,6,12,6,12,12,
6,6,6,6,12,12,6,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,24,12,
12,12,12,12,12,12,12,24,24,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,48,4,16,16,16,16,16,16,16,16,16,32,32,32,32,32,1,3,1,1,2,3,3,3,3,
6,6,3,6,3,3,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,12,6,6,12,6,6,6,6,12,6,12,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,16,16,16,32,3,
3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,15,72,72,64,35,9,27,36,32,108,108,216,96,96,96,288,192,
128,15,3,18,9,27,27,36,12,54,18,18,54,24,24,72,24,24,24,36,36,12,108,60,36,12,
60,60,36,36,60,48,216,72,72,24,72,72,72,72,72,72,72,144,48,240,48,144,192,192,
16,64,128,64,64,1,2,3,9,3,3,9,6,6,6,15,9,9,15,9,18,18,6,18,18,54,18,30,18,54,
54,18,18,30,30,18,6,18,54,24,24,12,36,36,36,12,12,60,60,60,12,36,60,12,36,12,
12,36,36,12,12,36,36,12,12,36,12,36,36,36,36,12,12,12,36,24,72,72,72,24,24,72,
72,72,24,24,72,24,24,24,72,24,72,72,24,24,24,72,72,72,72,24,24,72,72,24,48,48,
144,48,48,48,144,48,144,48,144,48,48,32,64,128,3,9,6,18,6,6,6,15,9,9,9,9,9,9,
9,15,12,12,12,6,6,18,18,18,18,18,30,18,6,18,18,6,18,6,18,18,18,18,18,18,18,6,
6,18,18,6,30,30,18,18,18,18,18,24,36,36,12,36,36,12,12,12,36,36,12,60,12,36,
12,12,36,12,36,36,12,36,12,12,36,36,36,12,12,36,36,12,36,36,12,12,12,12,12,12,
12,12,12,36,12,36,12,36,12,36,12,36,36,12,12,12,12,36,36,12,36,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,72,24,48,48,
48,8,12,16,16,16,1,2,3,3,3,3,6,6,6,9,3,9,3,9,9,9,9,9,15,12,12,6,18,18,6,6,18,
18,18,6,18,6,18,6,18,18,18,6,6,6,6,6,6,6,18,6,18,6,6,6,18,18,6,6,6,18,12,12,
12,12,36,36,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,12,
12,36,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,24,24,24,24,12,8,24,24,
16,16,3,3,6,3,3,3,3,3,9,3,9,3,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,1,8,4,4,12,8,8,1,3,3,3,3,3,3,6,6,6,6,3,2,4,8,3,1,1,1,
1],[1,15,104,24,64,35,13,39,52,36,36,312,32,224,192,192,128,15,7,6,21,39,39,
52,28,78,42,42,18,8,104,8,56,64,84,84,12,156,12,84,12,12,12,84,84,12,112,72,
24,48,24,24,48,168,48,48,48,48,96,48,96,16,64,32,32,64,64,1,7,13,7,7,13,8,14,
3,21,21,3,21,28,28,28,28,42,12,6,42,78,42,6,12,78,18,12,12,6,6,42,6,42,18,8,8,
56,12,12,84,24,24,12,12,12,12,12,12,24,12,12,84,12,12,84,24,84,84,12,12,12,12,
12,84,12,24,12,84,84,24,12,12,12,12,84,24,24,24,168,168,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,96,96,48,48,16,
48,16,32,32,32,32,64,64,64,7,7,13,6,14,14,3,3,21,21,3,21,21,3,3,3,3,3,28,4,28,
6,6,6,6,6,12,6,6,6,42,6,6,6,6,6,6,6,6,42,6,6,6,6,42,6,6,6,12,6,6,6,6,6,42,42,
6,6,6,6,56,12,12,24,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,12,12,12,84,12,84,84,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
4,16,16,16,16,16,16,16,16,16,32,32,32,32,32,1,7,7,7,1,7,2,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,21,3,4,28,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,4,4,4,8,8,16,16,16,32,1,1,1,2,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,
4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,15,104,24,64,35,13,39,
52,32,36,36,312,288,288,192,128,15,9,6,27,39,39,52,36,78,54,54,18,24,104,24,
72,64,108,36,12,156,36,108,12,36,36,36,108,36,144,72,72,24,72,72,72,72,72,72,
144,144,144,16,32,64,96,64,64,1,2,3,13,9,9,13,8,6,6,18,9,9,27,9,27,28,28,28,
28,18,18,6,18,18,78,54,18,18,78,18,18,18,18,18,54,6,54,18,56,12,36,84,36,36,
12,12,36,36,36,12,36,36,12,108,12,12,84,36,36,84,12,36,12,84,12,36,12,108,36,
36,12,12,108,24,24,72,216,216,72,72,72,72,24,24,24,24,72,72,24,24,24,24,72,24,
72,24,72,24,72,24,24,24,144,144,144,144,48,48,48,96,32,96,96,64,64,192,7,3,13,
6,6,6,6,6,9,9,21,27,9,27,9,3,9,3,9,9,12,28,36,6,6,6,18,18,18,18,18,18,54,6,18,
18,6,6,18,6,18,18,18,18,18,18,6,6,18,18,6,18,18,6,6,18,42,18,42,18,18,6,24,56,
12,36,36,36,12,36,12,12,36,36,12,36,12,36,12,36,12,12,36,36,12,36,12,36,36,12,
12,36,36,36,12,36,84,12,12,12,12,12,36,12,36,36,12,36,108,12,84,84,12,12,12,
12,12,12,36,12,36,12,36,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,
24,24,72,16,32,16,16,16,48,16,48,16,16,96,32,96,32,1,2,3,3,9,7,6,6,6,3,3,3,3,
9,3,3,3,9,9,9,3,9,3,9,3,21,9,28,18,6,6,18,18,18,18,6,18,6,18,18,18,18,6,6,6,6,
6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,6,18,6,18,6,6,6,18,12,12,12,36,12,36,12,
36,12,36,12,12,36,12,36,12,12,12,12,36,12,12,12,12,12,12,12,36,12,12,12,24,24,
12,24,16,16,16,32,1,1,3,1,6,2,3,3,3,3,3,3,3,9,3,3,3,3,3,9,3,6,6,6,6,6,6,6,6,6,
6,18,18,6,6,6,6,6,6,6,6,6,6,12,12,4,8,12,4,4,12,24,24,1,3,3,3,3,3,3,6,6,4,4,4,
8,1,1,1],[1,7,72,72,64,7,7,57,36,32,36,108,72,96,96,96,96,128,64,128,1,12,18,
21,39,48,18,36,18,24,24,24,24,36,72,36,108,24,36,36,72,60,72,72,96,72,24,72,
24,72,48,48,48,192,192,16,128,64,64,64,2,9,9,7,15,21,9,9,12,36,12,6,6,6,18,42,
18,18,6,36,12,18,24,24,24,36,36,36,36,12,24,48,12,72,36,36,24,36,36,72,36,36,
36,72,72,24,24,96,24,72,96,24,72,72,24,24,24,24,24,24,72,24,24,24,48,48,48,48,
16,32,32,64,128,7,6,2,2,9,18,9,15,9,6,9,9,12,12,18,6,6,6,6,12,6,18,18,18,18,6,
6,24,12,18,6,18,12,12,36,12,12,12,12,36,12,36,12,36,36,36,12,12,12,48,36,36,
12,36,12,48,36,36,24,24,24,72,24,24,24,24,24,24,24,48,8,12,16,16,16,1,1,3,3,6,
6,6,9,9,3,3,9,9,3,18,6,6,6,18,6,6,18,18,6,18,6,18,6,24,6,12,6,18,18,6,6,6,6,
18,18,12,12,12,12,12,12,12,12,12,12,12,12,8,4,8,8,16,8,16,16,1,3,3,9,9,9,6,3,
6,6,6,6,6,6,6,6,6,6,18,6,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[
1,7,72,24,64,7,19,45,36,32,60,36,72,96,96,64,64,64,1,6,6,30,33,27,24,24,18,24,
36,30,24,24,84,48,48,12,60,24,12,12,48,36,24,48,48,24,48,24,24,24,48,48,48,16,
128,64,64,64,2,9,3,6,7,9,21,6,3,3,24,12,12,12,6,6,24,6,12,18,12,18,6,12,24,6,
18,12,12,24,6,24,12,48,12,12,12,12,12,12,24,12,24,48,12,24,24,36,24,12,12,36,
12,12,36,12,24,12,24,36,12,36,48,48,24,24,24,24,24,24,24,48,24,24,24,24,24,24,
24,24,24,24,16,16,16,64,3,7,6,2,2,6,3,3,3,9,6,9,3,3,3,3,12,18,6,24,12,6,6,6,6,
6,6,12,6,12,18,12,6,12,6,6,6,12,6,12,6,12,12,12,12,12,12,12,12,12,24,12,12,24,
12,12,12,12,24,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,
24,12,12,12,24,24,24,24,24,24,24,8,12,16,16,16,1,1,3,3,3,3,9,3,9,3,3,3,3,6,3,
6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,24,12,12,12,12,12,12,12,12,4,4,12,8,8,8,16,1,3,3,3,3,3,3,3,3,6,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,15,72,
72,64,35,9,27,36,32,108,108,216,96,96,96,288,128,192,15,3,18,9,27,27,36,12,54,
18,18,54,24,24,72,24,24,24,36,36,12,108,60,36,12,60,60,36,36,60,48,216,72,72,
24,72,72,72,72,72,72,72,144,48,240,48,144,192,192,80,64,64,64,64,1,2,3,9,3,3,
9,6,6,6,15,9,9,15,9,18,18,6,18,18,54,18,30,18,54,54,18,18,30,30,18,6,18,54,24,
24,12,36,36,36,12,12,60,60,60,12,36,60,12,36,12,12,36,36,12,12,36,36,12,12,36,
12,36,36,36,36,12,12,12,36,24,72,72,72,24,24,72,72,72,24,24,72,24,24,24,72,24,
72,72,24,24,24,72,72,72,72,24,24,72,72,24,48,48,144,48,48,48,144,48,144,48,
144,48,48,96,64,64,3,9,6,18,6,6,6,15,9,9,9,9,9,9,9,15,12,12,12,6,6,18,18,18,
18,18,30,18,6,18,18,6,18,6,18,18,18,18,18,18,18,6,6,18,18,6,30,30,18,18,18,18,
18,24,36,36,12,36,36,12,12,12,36,36,12,60,12,36,12,12,36,12,36,36,12,36,12,12,
36,36,36,12,12,36,36,12,36,36,12,12,12,12,12,12,12,12,12,36,12,36,12,36,12,36,
12,36,36,12,12,12,12,36,36,12,36,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,72,24,72,24,48,48,48,4,4,12,16,16,16,1,2,3,3,3,
3,6,6,6,9,3,9,3,9,9,9,9,9,15,12,12,6,18,18,6,6,18,18,18,6,18,6,18,6,18,18,18,
6,6,6,6,6,6,6,18,6,18,6,6,6,18,18,6,6,6,18,12,12,12,12,36,36,36,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,36,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,
12,12,12,12,12,36,12,12,12,24,24,24,24,8,12,12,12,24,8,8,16,3,3,6,3,3,3,3,3,9,
3,9,3,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
1,4,4,4,12,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,3,2,4,4,4,3,1,1,1,1],[1,15,100,160,
35,80,150,150,120,120,96,320,160,15,25,75,30,60,30,60,300,90,90,60,60,240,96,
200,320,160,1,5,15,15,45,75,75,30,90,30,90,60,60,60,60,96,40,240,160,25,15,15,
45,15,15,45,30,30,30,30,10,20,60,40,16,48,5,15,15,15,15,15,15,6,20,10,20,20,
16,16,15,6,5,10,6,5,1,1],[1,15,80,60,40,35,10,30,40,90,90,240,40,120,240,96,
40,120,120,80,80,15,15,30,30,40,60,45,10,80,10,120,180,30,60,30,60,60,60,60,
60,120,60,60,120,240,96,10,40,40,40,40,40,120,120,40,80,80,1,10,10,15,60,15,
60,45,15,15,45,30,30,30,30,30,30,30,30,30,30,120,60,60,60,120,60,96,10,30,30,
40,20,20,40,40,40,40,40,40,80,40,40,10,15,5,15,15,15,30,30,15,30,30,30,15,30,
30,30,30,10,10,10,30,30,10,10,20,20,40,40,40,16,5,15,15,15,15,15,15,6,5,10,10,
10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,15,72,24,128,128,35,9,27,36,32,36,
36,216,96,288,384,384,15,3,6,9,27,27,36,12,54,18,18,18,24,72,24,24,36,36,108,
36,36,36,36,36,36,36,48,72,72,72,72,72,72,72,72,144,144,144,256,32,32,160,128,
96,128,128,128,1,2,3,9,3,3,9,6,6,6,9,9,9,9,9,18,18,18,18,54,18,18,18,54,18,18,
18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,
72,72,72,72,72,72,72,72,72,72,144,144,144,144,48,96,48,96,96,96,96,192,3,9,6,
6,6,6,6,9,9,9,9,9,9,9,9,9,12,12,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,24,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,72,72,128,128,8,8,8,12,32,24,32,32,48,48,96,96,
1,2,3,3,3,6,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,
36,36,36,36,36,36,36,12,12,24,24,24,24,24,24,48,3,6,9,9,18,18,16,32,1,2,4,8,8,
8,8,12,12,12,24,24,24,1,3,6,4,8,1,1,2,1],[1,3,72,96,32,80,1,12,18,12,32,36,72,
72,144,144,288,80,48,48,192,288,288,96,6,18,9,12,12,18,24,12,36,36,54,36,18,
18,36,54,36,72,36,36,36,72,72,72,72,72,288,64,16,8,8,16,32,128,32,48,48,48,48,
48,48,288,96,96,96,2,3,3,9,12,12,18,18,18,18,36,18,18,18,36,36,36,18,18,18,54,
36,36,36,36,36,72,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,64,128,16,12,
16,48,48,24,24,48,48,48,48,48,48,48,48,96,96,192,3,6,3,9,9,18,18,9,9,9,18,36,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,64,32,2,8,
12,8,8,12,12,12,12,12,12,12,48,24,24,24,24,48,1,9,9,9,9,9,9,18,18,18,18,18,18,
18,18,16,16,16,32,12,6,12,12,12,24,12,12,12,12,12,12,12,24,24,3,3,9,9,9,9,9,8,
16,1,1,2,6,6,12,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,105,35,140,35,105,315,
126,210,420,105,120,315,70,126,35,105,35,35,35,105,105,70,126,120,105,105,105,
105,105,70,35,21,42,35,21,15,15,7,1],[1,15,84,112,35,112,126,126,56,168,336,
224,64,15,21,63,14,84,14,84,252,42,42,84,84,336,28,112,56,112,112,112,64,1,7,
21,21,63,63,63,42,42,42,42,84,84,84,84,64,84,56,56,56,112,112,112,21,21,7,63,
21,21,21,42,42,42,42,64,7,28,28,28,56,56,8,7,7,21,21,21,21,21,7,21,14,28,8,21,
8,16,7,7,7,7,7,7,8,7,7,1,1],[1,15,168,112,35,21,63,84,504,224,112,336,336,64,
15,7,21,63,63,84,28,126,42,42,168,56,84,84,42,252,84,42,84,84,112,84,168,28,
112,56,336,336,64,1,7,21,7,7,21,14,21,21,21,42,21,42,126,42,126,42,21,42,42,
42,84,42,84,42,84,84,42,84,168,168,84,84,84,84,84,84,84,84,64,28,28,84,84,28,
112,56,112,7,21,14,21,21,21,28,21,42,21,21,42,21,21,21,42,42,42,42,42,42,42,
42,42,42,84,42,42,42,42,84,64,7,28,28,28,84,28,28,84,28,28,56,8,7,7,21,21,21,
21,21,42,42,42,42,7,7,7,7,28,14,14,28,28,8,21,8,7,7,7,7,7,7,14,14,8,7,7,1,1],[
1,15,56,112,35,7,21,28,168,224,336,224,64,15,7,21,21,21,28,28,42,42,42,56,56,
64,84,84,84,84,112,28,112,56,112,112,64,1,7,7,7,7,8,14,21,21,28,28,28,28,42,
42,42,42,42,56,84,84,84,84,84,84,84,168,168,64,28,84,28,56,56,112,112,112,7,7,
21,21,21,28,28,42,42,42,56,84,84,84,84,64,28,28,28,28,28,28,28,28,28,56,56,56,
8,8,7,7,21,28,7,28,28,28,56,8,8,1,8,8,7,7,7,8,8,7,1,1],[1,15,56,112,35,7,21,
28,168,336,224,64,15,21,21,28,42,56,84,84,84,168,28,112,112,112,64,1,7,7,7,21,
42,42,42,42,84,84,64,84,56,112,7,7,14,14,21,42,42,64,7,28,28,28,8,1,7,7,7,14,
14,28,8,1,8,7,7,7,8,7,1,1,1,1],[1,15,84,112,35,112,126,126,56,168,336,224,64,
15,21,63,14,84,14,84,252,42,42,84,84,336,28,28,112,56,112,112,64,1,7,21,21,63,
63,63,42,42,42,42,84,84,84,84,64,84,56,84,56,84,56,112,112,56,21,21,7,63,21,
21,21,42,42,42,42,64,28,28,28,28,84,28,28,28,28,56,56,8,7,7,21,21,21,21,21,7,
28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,15,60,176,80,35,80,90,90,96,240,160,
240,15,15,45,60,60,180,160,96,20,20,220,80,80,80,320,96,1,5,15,15,45,45,45,
160,60,60,60,60,120,96,15,15,45,80,80,11,20,5,20,60,20,20,60,16,48,5,6,10,15,
15,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[1,15,200,72,64,35,25,75,100,96,108,108,
600,32,416,96,864,64,192,192,128,128,15,13,18,39,75,75,100,52,150,78,78,54,8,
72,200,8,72,104,64,156,156,60,300,108,156,60,108,108,156,156,108,208,216,24,
216,120,24,216,312,216,216,216,216,432,48,432,48,432,192,192,16,64,32,32,64,
64,64,192,192,64,128,128,1,6,13,25,13,13,25,8,18,18,26,27,39,39,27,39,28,28,
28,28,78,54,30,78,54,150,78,54,54,150,54,54,54,54,54,78,30,78,54,8,8,56,36,
108,84,108,108,36,60,108,108,108,36,108,108,60,156,36,60,84,108,156,84,36,12,
108,12,36,84,36,108,60,156,156,108,12,60,36,12,156,72,72,216,312,312,72,24,
216,216,216,72,24,216,72,24,120,72,120,24,72,216,216,24,72,72,72,120,24,72,
216,120,216,120,216,24,24,120,216,120,24,24,72,120,48,48,432,48,48,48,432,48,
432,48,432,48,16,16,48,48,16,64,32,32,32,32,32,64,64,64,64,64,64,64,64,64,64,
7,13,25,18,18,26,18,18,14,27,27,21,39,27,39,39,9,27,9,27,27,36,28,4,52,18,18,
30,6,54,54,54,54,54,54,78,18,54,54,30,30,54,6,18,6,42,54,54,54,54,54,78,18,30,
54,54,18,54,54,18,30,54,42,54,42,54,18,54,6,30,18,72,56,60,108,108,12,108,60,
108,12,60,12,12,60,108,108,12,60,108,36,108,12,60,108,36,36,108,108,36,108,60,
36,12,12,108,108,60,36,108,108,36,108,60,108,12,12,36,84,60,36,36,12,36,36,36,
36,108,36,108,12,36,108,12,12,36,36,108,12,36,12,156,60,84,84,60,36,36,36,36,
36,12,60,108,60,108,36,108,72,120,24,24,72,72,72,24,24,24,72,72,72,72,24,72,
72,24,24,72,24,24,24,24,24,24,24,24,72,24,24,24,72,24,72,24,72,72,72,24,216,
24,72,72,72,216,24,48,48,48,4,16,16,16,16,16,16,16,16,16,48,16,16,16,48,16,16,
16,16,16,16,16,32,32,32,32,32,32,32,32,32,32,32,64,1,3,6,13,7,9,13,1,7,18,2,
18,18,3,9,9,9,9,3,27,9,9,9,3,27,27,9,9,27,9,27,9,27,9,21,27,4,28,4,6,54,18,30,
18,54,6,6,54,54,54,18,6,30,54,18,54,18,54,54,54,18,18,6,18,18,6,18,18,18,18,6,
18,18,18,18,30,18,18,54,18,18,18,30,54,18,30,18,6,18,18,18,6,18,18,6,54,18,18,
18,18,54,6,18,18,18,6,54,36,36,36,12,12,12,12,12,12,12,36,12,12,108,12,36,108,
36,108,36,12,12,12,12,36,12,36,108,12,12,12,12,36,36,12,36,36,12,12,12,12,12,
12,108,36,12,12,36,108,36,12,36,36,12,36,12,12,60,12,108,12,12,36,12,36,12,12,
12,12,36,12,36,60,36,12,12,36,36,108,60,12,36,12,12,60,72,24,24,72,24,24,4,4,
4,4,4,16,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
32,32,32,1,1,3,9,3,1,18,2,6,6,3,9,3,9,9,9,9,9,9,9,3,9,3,3,9,9,9,27,9,9,3,9,9,
9,9,27,9,3,9,18,18,6,6,6,18,6,18,18,6,18,6,18,6,6,6,6,18,6,6,18,6,6,18,6,6,18,
6,6,18,18,18,6,54,6,6,6,6,6,6,54,6,6,6,18,18,6,6,18,18,18,6,18,6,6,6,18,30,18,
6,6,18,18,6,6,6,18,18,6,12,12,36,12,36,12,12,12,12,12,12,12,12,12,12,36,12,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,16,16,3,3,3,1,3,9,9,3,3,
3,3,9,9,3,3,9,9,3,3,3,3,3,3,3,3,3,3,9,9,3,9,3,3,9,3,6,18,6,6,6,6,6,6,6,6,6,18,
6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,
3,3,1,4,4,4,3,1,1,1,1],[1,15,200,72,64,35,25,75,100,32,108,108,600,96,288,96,
672,64,192,192,128,128,15,9,18,27,75,75,100,36,150,54,54,54,24,24,200,24,24,
72,64,108,252,60,300,60,108,60,60,60,252,108,60,144,216,72,168,120,72,168,504,
168,168,168,168,336,48,240,48,336,192,192,16,32,64,96,64,64,64,192,192,64,128,
128,1,2,21,25,9,9,25,8,6,6,18,15,63,27,15,27,28,28,28,28,126,42,30,126,18,150,
54,30,42,150,54,42,42,30,30,54,30,54,54,24,24,56,36,60,84,84,84,36,60,60,60,
60,36,84,60,60,108,36,60,84,84,252,84,36,36,60,36,36,84,36,84,60,108,252,84,
36,60,36,36,108,72,72,120,216,216,120,24,120,120,72,120,24,72,72,72,120,120,
120,72,72,120,120,24,72,120,72,120,72,72,120,120,72,120,120,24,24,120,72,120,
72,24,72,120,48,48,336,48,48,48,336,48,240,48,240,48,16,48,48,48,48,64,96,32,
32,96,96,64,64,64,64,64,192,64,64,64,7,21,25,6,18,42,6,6,42,15,15,21,27,15,27,
63,9,15,9,15,15,12,28,12,36,18,18,30,18,30,42,18,30,30,30,54,18,18,30,30,30,
30,18,18,18,126,18,30,30,30,30,126,18,30,30,42,18,30,30,18,30,18,42,18,42,18,
30,18,18,30,30,24,56,60,60,36,12,84,60,36,36,60,12,36,60,60,84,12,60,60,36,36,
12,60,60,36,36,60,36,36,36,60,60,36,36,84,84,60,36,60,60,60,60,60,36,36,36,60,
84,60,60,60,36,36,36,36,36,60,36,36,36,60,60,36,12,60,36,84,36,60,36,108,60,
84,84,60,36,36,60,36,36,12,60,60,60,60,36,60,72,120,24,24,72,72,120,24,24,24,
72,72,72,72,24,72,72,72,24,120,24,24,24,24,24,24,24,72,72,24,24,72,72,24,72,
72,72,72,72,72,120,72,72,72,72,72,24,48,48,48,16,32,16,48,16,16,16,48,16,16,
48,16,48,48,48,16,16,16,48,16,16,48,32,96,32,32,32,96,32,32,32,32,64,3,1,2,21,
21,3,9,3,7,6,6,6,6,9,9,9,3,3,9,15,9,3,9,9,15,9,15,15,15,9,9,9,15,3,21,15,12,
28,12,18,18,30,30,18,18,6,18,18,30,18,30,18,30,18,18,30,30,18,18,18,18,18,18,
18,6,18,18,6,18,30,6,18,18,18,30,30,6,18,42,30,6,6,30,30,18,30,18,6,18,18,18,
6,30,6,6,18,18,30,30,18,30,18,18,18,18,6,18,36,36,36,12,36,36,12,36,12,36,36,
36,36,60,36,36,36,36,36,60,36,36,36,12,36,12,60,36,12,12,36,12,60,36,12,36,36,
12,12,36,12,36,12,36,60,12,36,36,36,36,12,36,36,36,60,12,12,60,12,60,12,36,36,
36,36,12,36,12,12,36,12,60,60,36,12,12,36,36,60,60,12,36,12,12,60,72,24,24,72,
24,24,12,16,24,16,16,16,48,16,16,16,16,16,16,16,48,16,16,16,16,16,16,16,16,32,
32,32,1,3,1,3,1,3,6,6,2,6,9,3,9,9,9,3,15,15,9,9,3,3,9,9,3,15,3,15,9,9,9,15,9,
3,3,9,15,3,3,18,18,6,6,6,6,6,6,6,6,18,18,6,6,18,18,6,18,6,6,6,18,6,18,6,6,18,
18,6,6,30,30,6,18,18,6,6,18,18,6,18,6,6,18,18,18,18,6,6,6,6,6,6,6,18,6,18,30,
6,18,6,18,6,18,18,6,18,30,6,12,12,36,12,36,12,36,12,12,12,12,12,12,12,36,36,
12,4,8,4,12,12,4,4,12,12,4,8,24,24,8,16,16,16,1,3,3,3,3,3,9,9,3,3,3,3,9,3,3,
15,3,3,3,3,9,9,3,3,3,3,3,3,3,3,9,9,3,9,3,6,6,6,18,6,6,18,6,6,6,6,6,6,6,6,6,4,
4,12,4,4,4,4,4,4,4,12,4,4,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,
1],[1,15,200,72,64,35,25,75,100,32,108,108,600,96,672,96,672,64,192,192,128,
128,15,21,18,63,75,75,100,84,150,126,126,54,24,24,200,24,24,168,192,252,108,
60,300,60,252,60,60,60,108,252,60,336,216,72,168,120,72,168,216,168,168,168,
168,336,48,240,48,336,192,192,16,64,128,64,64,64,192,192,64,128,128,1,2,9,25,
21,21,25,24,6,6,42,15,27,63,15,63,84,84,84,84,54,42,30,54,18,150,126,30,42,
150,54,42,42,30,30,126,30,126,54,24,24,168,60,60,252,84,84,60,60,60,60,60,60,
84,60,60,252,60,60,252,84,108,252,60,36,60,36,60,252,60,84,60,252,108,84,36,
60,60,36,252,120,120,120,504,504,72,24,120,120,72,72,24,72,120,72,120,72,120,
72,120,120,120,24,120,72,120,120,72,120,120,120,72,120,120,24,24,120,72,120,
72,24,120,120,48,48,336,48,48,48,336,48,240,48,240,48,16,48,48,64,32,32,64,64,
64,64,64,64,128,21,9,25,6,18,18,6,6,14,15,15,63,63,15,63,27,15,15,15,15,15,12,
84,12,84,30,30,30,18,30,42,18,30,30,30,126,30,18,30,30,30,30,18,30,18,42,18,
30,30,30,30,54,30,30,30,42,30,30,30,30,30,18,126,18,126,18,18,18,18,30,18,24,
168,60,60,36,12,84,60,36,36,60,12,36,60,60,84,12,60,60,60,36,12,60,60,60,60,
60,36,60,36,60,36,36,36,84,84,60,60,60,60,36,60,60,36,36,36,36,252,60,36,36,
36,60,60,60,60,60,60,36,36,36,60,36,12,36,60,84,36,36,36,252,60,252,252,60,60,
60,36,60,60,12,60,60,60,60,60,60,120,120,24,24,120,120,72,24,24,24,120,120,
120,120,24,120,120,72,24,72,24,24,24,24,24,24,24,72,120,24,24,72,120,24,120,
72,120,120,120,72,120,72,120,120,120,72,24,48,48,48,8,12,16,16,16,48,48,16,16,
32,32,64,1,1,2,9,7,3,21,3,21,6,6,6,6,9,15,15,9,9,9,15,15,9,15,9,15,9,9,9,15,
15,9,15,15,9,63,15,12,84,12,18,18,18,30,30,18,6,18,18,30,18,18,18,30,18,30,30,
18,18,18,18,30,30,18,30,18,18,30,18,30,18,6,30,30,30,18,30,18,6,42,18,18,18,
30,30,30,30,30,6,6,30,6,6,18,18,6,18,30,18,18,6,30,18,30,30,30,6,18,60,60,12,
12,36,36,12,36,12,36,60,36,36,60,36,60,36,60,36,36,36,36,36,12,60,12,36,36,12,
12,36,12,36,60,12,12,60,12,12,36,12,36,12,36,36,12,36,60,36,60,12,60,60,36,36,
12,12,60,12,60,12,36,60,36,60,12,36,12,12,60,12,36,60,60,12,12,60,60,60,60,12,
60,12,12,60,120,24,24,120,24,24,12,12,12,16,8,24,24,24,8,16,16,16,16,16,16,16,
3,1,3,3,3,3,6,6,6,2,9,9,9,3,3,9,9,9,15,15,3,9,9,9,9,9,9,15,15,15,9,9,15,9,9,9,
9,3,9,30,6,6,6,6,18,6,18,18,6,30,18,18,6,18,18,6,6,6,6,18,18,6,30,6,6,30,18,6,
18,18,18,6,18,18,6,6,18,18,6,18,6,6,18,6,30,18,6,18,18,18,6,18,6,18,6,6,30,18,
18,6,30,18,18,18,6,30,18,6,12,12,60,12,60,12,36,12,12,12,12,12,12,12,36,12,12,
1,8,4,4,12,12,4,4,12,8,8,8,8,24,24,16,1,1,1,3,3,9,15,9,3,3,3,9,3,3,3,9,9,3,3,
3,9,9,3,3,3,3,3,9,9,3,3,9,3,3,3,6,18,6,18,6,6,18,6,6,6,6,18,6,6,6,6,1,3,3,2,2,
4,4,4,4,4,12,4,8,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,1,3,1,2,2,4,3,1,1,1,1,
1,1,1,1],[1,15,72,168,128,128,35,9,27,36,32,252,252,216,288,96,288,288,384,
768,768,384,15,3,42,9,27,27,36,12,54,18,18,126,72,24,72,72,24,24,36,36,36,108,
108,36,36,108,108,36,36,108,48,504,216,72,72,216,72,72,72,72,72,72,144,144,
432,144,144,576,576,256,32,32,160,128,96,128,128,128,384,384,384,384,1,2,3,9,
3,3,9,6,6,6,27,9,9,27,9,18,18,18,18,18,54,18,54,18,54,126,18,18,54,54,18,18,
18,126,72,72,36,36,36,36,36,36,108,108,108,36,36,108,36,36,36,36,36,36,36,36,
36,108,36,36,36,36,36,36,36,108,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,216,72,72,72,72,72,72,216,72,72,72,72,72,72,216,72,144,144,144,
144,144,144,144,144,144,144,144,144,256,48,96,48,96,192,96,96,96,384,192,192,
576,384,384,384,3,9,6,42,6,6,6,27,9,9,9,9,9,9,9,27,12,36,12,18,18,18,18,18,18,
18,54,18,18,18,18,18,18,18,54,18,18,18,18,18,18,18,18,18,18,18,54,54,18,18,18,
18,54,24,36,36,36,36,36,36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,36,
36,36,108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,108,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,128,128,8,8,
8,12,32,24,32,32,48,48,48,48,48,96,96,48,96,96,96,96,96,96,96,96,1,2,3,3,3,9,
6,6,6,27,9,9,9,9,9,9,9,9,27,36,36,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,128,128,12,12,48,24,
24,24,24,24,24,24,48,48,48,48,48,96,48,96,96,96,3,9,6,9,9,9,9,9,9,9,9,9,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,16,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,32,3,6,6,12,12,12,12,12,24,24,24,24,24,
24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,15,168,24,128,128,35,21,63,84,32,36,
36,504,672,288,64,192,384,384,384,15,21,6,63,63,63,84,84,126,126,126,18,24,
168,24,168,192,252,36,36,252,36,252,36,36,36,36,252,36,336,72,72,72,72,72,72,
72,72,72,144,144,144,256,32,32,160,128,96,128,128,128,192,192,192,192,1,2,3,
21,21,21,21,24,6,6,42,9,9,63,9,63,84,84,84,84,18,18,18,18,18,126,126,18,18,
126,18,18,18,18,18,126,18,126,18,168,36,36,252,36,36,36,36,36,36,36,36,36,36,
36,252,36,36,252,36,36,252,36,36,36,252,36,36,36,252,36,36,36,36,252,72,72,72,
504,504,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,144,144,144,144,256,16,48,96,48,48,64,96,96,96,96,96,192,192,192,21,3,21,6,
6,6,6,6,9,9,63,63,9,63,9,9,9,9,9,9,12,84,84,18,18,18,18,18,18,18,18,18,126,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,126,18,126,
18,18,18,24,168,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,252,36,36,36,36,36,36,36,36,36,36,36,252,
36,252,252,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,128,128,8,8,8,12,32,24,32,32,48,48,48,48,48,48,
48,48,48,48,96,96,96,96,1,2,3,3,21,21,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
63,9,84,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,
72,64,64,12,12,12,12,16,24,24,24,24,24,24,24,48,48,48,48,96,3,3,3,3,6,6,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,36,36,16,32,1,2,4,8,8,8,8,12,12,12,12,12,12,12,24,24,24,24,24,1,9,
9,9,9,9,9,18,18,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,15,
168,24,128,128,35,21,63,84,32,36,36,504,96,288,64,192,384,384,384,15,3,6,9,63,
63,84,12,126,18,18,18,24,168,24,24,36,252,36,252,36,36,36,36,36,252,36,36,48,
72,72,72,72,504,72,72,72,72,144,144,144,256,32,32,160,128,96,128,128,128,192,
192,192,192,1,2,21,21,3,3,21,6,6,6,9,63,9,9,9,126,18,18,126,18,126,18,18,18,
126,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,252,36,
36,36,36,252,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,144,144,144,144,256,16,48,96,48,48,64,96,96,96,96,96,192,
192,21,21,6,6,42,6,6,42,9,9,9,9,9,63,9,9,9,12,12,18,18,18,18,18,18,18,18,18,
18,18,18,18,126,18,18,18,18,18,126,18,18,18,18,18,18,18,18,18,18,18,18,18,24,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,72,
72,72,128,128,8,8,8,12,32,24,32,32,48,48,48,48,48,48,48,48,48,48,96,96,3,1,2,
21,21,3,3,6,6,6,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,64,64,12,12,16,24,24,24,24,24,24,24,48,
48,48,48,3,3,6,6,9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,36,16,32,1,2,
4,8,8,8,8,12,12,12,12,12,12,12,24,24,24,1,3,3,9,9,9,9,16,3,4,6,6,12,12,12,3,4,
8,1,1,2,3,3,4,1,3,1,1],[1,15,180,320,80,35,240,270,270,120,360,576,240,960,
480,15,45,135,30,180,30,180,540,90,90,180,180,720,160,576,20,400,80,120,960,
240,240,1,15,45,45,135,135,135,90,90,90,90,180,180,180,180,160,60,120,120,120,
240,240,720,480,45,45,15,135,45,45,45,90,90,90,90,80,160,20,60,20,180,60,60,
120,120,96,288,96,15,15,45,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,
15,10,32,15,15,10,6,6,1],[1,15,180,176,80,35,80,270,270,360,360,96,240,800,
480,720,15,45,135,90,60,90,60,540,270,270,180,180,720,160,96,20,20,220,80,80,
80,320,240,240,240,720,96,1,5,15,15,45,135,135,90,270,90,270,180,180,180,180,
160,320,288,60,120,60,180,60,240,120,600,240,480,240,96,45,15,45,45,45,45,135,
90,90,90,90,80,160,80,11,20,5,20,60,20,20,60,60,60,60,60,60,60,60,180,16,48,
96,5,45,45,45,45,45,45,80,80,6,50,45,15,60,30,60,60,60,60,60,48,48,45,10,20,6,
16,5,5,5,5,15,15,45,15,6,10,20,20,18,16,15,15,15,15,6,10,5,1,6,5,3,1,1],[1,15,
264,168,128,128,35,33,99,132,32,252,252,792,288,672,288,1440,128,384,384,768,
768,768,384,15,21,42,63,99,99,132,84,198,126,126,126,72,24,264,72,24,168,192,
252,252,108,396,108,252,108,108,108,252,252,108,336,504,216,360,216,216,360,
504,360,360,360,360,720,144,432,144,720,576,576,256,32,32,160,128,96,128,128,
128,384,384,384,384,384,384,768,384,768,384,1,2,21,33,21,21,33,24,6,6,42,27,
63,63,27,63,84,84,84,84,126,90,54,126,18,198,126,54,90,198,126,90,90,54,54,
126,54,126,126,72,72,168,108,108,252,180,180,108,108,108,108,108,108,180,108,
108,252,108,108,252,180,252,252,108,108,108,108,108,252,108,180,108,252,252,
180,108,108,108,108,252,216,216,216,504,504,216,72,216,216,72,216,72,72,216,
216,216,216,216,216,216,216,216,72,216,216,216,216,216,216,216,216,72,216,216,
72,72,216,72,216,216,72,216,216,144,144,720,144,144,144,720,144,432,144,432,
144,256,512,32,48,96,96,48,128,96,192,192,96,96,96,192,384,384,384,384,192,
192,576,384,384,384,384,384,21,21,33,6,42,42,6,6,42,27,27,63,63,27,63,63,27,
27,27,27,27,12,84,36,84,54,54,54,54,54,90,18,54,54,54,126,54,18,54,54,54,54,
54,54,54,126,18,54,54,54,54,126,54,54,54,90,54,54,54,54,54,18,126,18,126,18,
54,18,54,54,54,24,168,108,108,36,36,180,108,36,108,108,36,108,108,108,180,36,
108,108,108,36,36,108,108,108,108,108,36,108,36,108,108,108,108,180,180,108,
108,108,108,108,108,108,36,108,108,108,252,108,108,108,108,108,108,108,108,
108,108,36,108,108,108,108,36,108,108,180,108,108,108,252,108,252,252,108,108,
108,108,108,108,36,108,108,108,108,108,108,216,216,72,72,216,216,216,72,72,72,
216,216,216,216,72,216,216,216,72,216,72,72,72,72,72,72,72,216,216,72,72,216,
216,72,216,216,216,216,216,216,216,216,216,216,216,72,72,144,144,144,128,256,
128,8,8,8,12,32,24,32,32,48,48,96,96,48,48,48,48,96,48,48,48,96,48,96,96,48,
48,48,48,192,96,192,96,96,96,96,96,96,96,96,96,384,3,1,2,21,21,3,21,9,21,6,18,
6,6,27,27,27,9,9,27,27,27,9,27,27,27,9,27,27,27,27,9,27,27,9,63,27,36,84,36,
54,18,54,54,54,18,18,54,18,54,18,54,54,54,18,54,54,54,18,18,18,54,54,54,54,18,
54,54,18,54,54,18,54,54,54,54,54,18,18,90,54,18,18,54,54,54,54,54,18,18,54,18,
18,54,18,18,18,54,54,54,18,54,54,54,54,54,18,18,108,108,36,36,108,108,36,108,
36,108,108,108,108,108,108,108,36,108,36,108,108,108,108,36,108,36,108,36,36,
36,108,36,108,108,36,36,108,36,36,108,36,108,36,36,108,36,108,108,36,108,36,
108,108,108,108,36,36,108,36,108,36,108,108,108,108,36,108,36,36,108,36,108,
108,108,36,36,108,108,108,108,36,108,36,36,108,216,72,72,216,72,72,128,128,
128,128,12,12,12,12,32,48,24,24,24,24,24,24,24,24,24,48,48,96,48,48,48,48,48,
48,96,48,48,96,96,48,48,48,48,48,48,96,48,96,48,96,96,96,96,3,3,3,3,3,9,6,18,
6,6,27,9,27,9,9,9,27,27,27,27,9,9,27,27,9,27,9,27,27,27,27,27,27,9,9,9,27,9,9,
54,18,18,18,18,18,18,18,18,18,54,54,18,18,54,54,18,18,18,18,18,54,18,54,18,18,
54,54,18,18,54,54,18,18,54,18,18,54,54,18,18,18,18,54,18,54,54,18,18,18,18,18,
18,18,54,18,18,54,18,54,18,54,18,54,54,18,54,54,18,36,36,108,36,108,36,108,36,
36,36,36,36,36,36,108,36,36,16,32,128,1,2,4,8,8,8,8,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,96,
48,1,3,3,9,9,9,27,27,9,9,9,9,9,9,9,27,9,9,9,9,27,27,9,9,9,9,9,9,9,9,9,27,9,9,
9,18,18,18,54,18,18,54,18,18,18,18,18,18,18,18,18,16,32,32,1,3,3,4,6,6,6,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,1,1,2,3,3,3,3,3,3,6,6,6,6,12,12,12,12,9,
4,4,4,8,1,1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,7,168,168,448,7,7,105,84,
224,84,252,168,224,224,672,672,896,448,896,512,1,28,42,21,63,112,42,84,42,56,
168,56,56,84,168,84,252,168,84,84,168,252,168,168,336,168,168,168,168,168,336,
336,336,1344,1344,112,224,224,896,448,448,448,14,21,21,7,63,21,21,21,28,84,28,
42,42,42,42,126,42,42,42,84,84,42,56,56,56,84,84,84,84,84,168,168,84,168,84,
84,168,84,84,168,84,84,84,168,168,168,168,336,168,168,336,168,168,168,168,168,
168,168,168,168,168,168,168,168,336,336,336,336,512,112,112,224,112,224,224,
224,224,448,448,448,896,7,42,14,14,21,42,21,63,21,42,21,21,28,28,42,42,42,42,
42,84,42,42,42,42,42,42,42,84,84,42,42,42,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,168,84,84,84,84,84,168,84,84,168,168,168,168,168,168,168,168,
168,168,168,336,56,84,112,112,112,112,112,112,112,112,112,224,224,224,224,224,
64,1,7,7,7,14,42,42,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,84,42,84,42,42,42,42,42,42,42,42,42,84,84,84,84,84,84,84,84,84,84,84,84,
56,28,28,28,56,56,112,56,112,112,112,112,224,7,21,21,21,21,21,42,21,42,42,42,
42,42,42,42,42,42,42,42,42,84,84,64,128,7,28,28,28,28,28,28,28,28,28,56,56,56,
7,7,21,21,21,21,21,7,14,14,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,15,120,240,
320,80,35,15,45,60,240,360,360,360,480,720,720,576,80,240,240,1280,480,480,
960,15,60,45,45,60,90,180,120,180,120,120,180,180,180,180,180,180,720,360,180,
360,180,180,180,180,180,360,360,720,360,360,1440,1440,160,576,20,400,80,120,
960,240,240,240,240,240,240,480,480,960,1,15,15,15,45,45,45,45,45,135,90,90,
45,90,180,45,45,90,90,180,120,120,90,90,180,180,180,90,180,90,180,90,90,180,
180,180,180,180,360,180,360,180,180,180,180,360,180,360,360,360,360,360,360,
360,360,360,360,160,320,320,576,20,60,60,80,120,120,240,120,120,240,240,240,
240,240,960,240,240,240,960,15,15,60,15,45,45,45,30,60,45,45,90,45,90,45,45,
90,90,45,135,45,45,90,90,90,90,90,90,90,90,180,90,90,90,90,180,90,90,90,90,90,
90,180,90,180,180,180,180,180,180,180,180,180,180,180,180,360,360,80,160,160,
160,20,60,20,180,60,60,60,60,60,60,120,120,120,120,240,120,120,120,120,240,96,
288,96,15,15,45,45,60,60,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,80,80,80,160,36,15,20,80,60,60,60,120,60,120,
120,60,60,60,60,60,120,120,96,96,96,15,15,45,45,45,45,45,90,90,90,90,10,80,36,
15,15,15,15,15,15,15,15,60,60,60,60,45,10,20,20,36,32,15,15,15,15,30,15,15,15,
15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,392,168,448,35,49,147,196,224,252,252,
1176,224,1568,672,2016,448,1344,1344,896,896,512,15,49,42,147,147,147,196,196,
294,294,294,126,56,168,392,56,168,392,448,588,252,252,588,252,588,252,252,252,
252,588,252,784,504,168,504,504,168,504,504,504,504,504,504,1008,336,1008,336,
1008,1344,1344,112,448,224,224,896,448,448,448,1344,1344,448,896,896,512,1,14,
21,49,49,49,49,56,42,42,98,63,63,147,63,147,196,196,196,196,126,126,126,126,
126,294,294,126,126,294,126,126,126,126,126,294,126,294,126,56,56,392,252,252,
588,252,252,252,252,252,252,252,252,252,252,252,588,252,252,588,252,252,588,
252,84,252,84,252,588,252,252,252,588,252,252,84,252,252,84,588,504,504,504,
1176,1176,168,168,504,504,504,168,168,504,504,168,504,168,504,168,504,504,504,
168,504,168,504,504,168,504,504,504,504,504,504,168,168,504,504,504,168,168,
504,504,336,336,1008,336,336,336,1008,336,1008,336,1008,336,512,112,112,336,
336,112,448,224,224,224,224,224,448,448,448,448,448,448,448,448,448,448,896,
49,21,49,42,42,42,42,42,14,63,63,147,147,63,147,63,63,63,63,63,63,84,196,28,
196,126,126,126,42,126,126,126,126,126,126,294,126,126,126,126,126,126,42,126,
42,42,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,294,126,
294,126,42,126,42,126,42,168,392,252,252,252,84,252,252,252,84,252,84,84,252,
252,252,84,252,252,252,252,84,252,252,252,252,252,252,252,252,252,84,84,84,
252,252,252,252,252,252,84,252,252,252,84,84,84,588,252,84,84,84,252,252,252,
252,252,252,252,84,84,252,84,84,84,252,252,84,84,84,588,252,588,588,252,252,
252,84,252,252,84,252,252,252,252,252,252,504,504,168,168,504,504,168,168,168,
168,504,504,504,504,168,504,504,168,168,168,168,168,168,168,168,168,168,168,
504,168,168,168,504,168,504,168,504,504,504,168,504,168,504,504,504,504,168,
336,336,336,512,56,84,112,112,112,112,112,112,112,112,112,336,112,112,112,336,
112,112,112,112,112,112,112,224,224,224,224,224,224,224,224,224,224,224,448,
64,1,7,14,21,7,21,49,7,49,42,14,42,42,21,63,63,63,63,21,63,63,63,63,21,63,63,
21,21,63,63,63,63,63,63,147,63,28,196,28,42,126,42,126,126,126,42,42,126,126,
126,42,42,126,126,126,126,42,126,126,126,126,126,42,126,126,42,126,126,126,42,
42,126,126,126,42,126,126,42,126,42,126,126,126,126,126,126,126,42,42,126,42,
42,42,126,42,126,126,42,42,42,126,42,126,126,126,42,126,252,252,84,84,84,84,
84,84,84,84,252,84,84,252,84,252,252,252,252,84,84,84,84,84,252,84,84,252,84,
84,84,84,84,252,84,84,252,84,84,84,84,84,84,252,84,84,84,252,252,252,84,252,
252,84,84,84,84,252,84,252,84,84,252,84,252,84,84,84,84,252,84,84,252,252,84,
84,252,252,252,252,84,252,84,84,252,504,168,168,504,168,168,84,84,28,28,84,
112,56,168,168,168,56,112,112,112,112,112,112,112,112,112,112,112,112,112,112,
112,112,112,112,112,112,112,224,224,224,64,7,1,21,21,21,7,42,14,42,14,21,63,
21,21,21,63,21,21,63,63,21,63,21,21,63,21,63,63,63,63,21,21,63,63,63,63,21,21,
63,126,42,42,42,42,126,42,126,126,42,126,42,126,42,42,42,42,42,42,42,126,42,
42,126,42,42,126,42,42,126,42,42,42,126,42,42,42,42,42,42,126,42,42,42,42,126,
42,42,126,126,126,42,126,42,42,42,42,126,126,42,42,126,126,42,42,42,126,42,42,
84,84,252,84,252,84,84,84,84,84,84,84,84,84,84,84,84,64,128,7,56,28,28,28,28,
28,84,28,28,28,28,28,28,84,28,28,28,28,28,28,84,28,56,56,56,56,168,56,168,112,
112,112,7,7,7,7,21,63,63,21,21,21,21,63,21,21,21,21,63,21,21,21,21,21,21,21,
21,21,21,63,63,21,21,21,21,21,21,42,126,42,42,42,42,42,42,42,42,42,126,42,42,
42,42,64,7,21,21,14,14,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,84,
28,28,28,56,56,8,21,7,7,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,21,7,21,7,
14,14,28,28,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,15,392,168,
448,35,49,147,196,224,252,252,1176,224,672,672,2016,448,1344,1344,896,896,512,
15,21,42,63,147,147,196,84,294,126,126,126,56,168,392,56,168,168,64,252,588,
252,588,252,252,252,252,252,588,252,252,336,504,168,504,504,168,504,1176,504,
504,504,504,1008,336,1008,336,1008,1344,1344,112,224,448,672,224,448,448,448,
1344,1344,448,896,896,512,1,14,49,49,21,21,49,8,42,42,42,63,147,63,63,63,28,
28,28,28,294,126,126,294,126,294,126,126,126,294,126,126,126,126,126,126,126,
126,126,56,56,56,84,252,84,252,252,84,252,252,252,252,84,252,252,252,252,84,
252,84,252,588,84,84,84,252,84,84,84,84,252,252,252,588,252,84,252,84,84,252,
168,168,504,504,504,504,168,504,504,504,504,168,504,168,168,504,504,504,168,
168,504,504,168,168,504,168,504,168,168,504,504,504,504,504,168,168,504,504,
504,168,168,168,504,336,336,1008,336,336,336,1008,336,1008,336,1008,336,512,
112,336,336,336,336,448,672,224,224,672,224,672,224,448,448,448,448,448,448,
1344,448,448,448,448,7,49,49,42,42,98,42,42,98,63,63,21,63,63,63,147,21,63,21,
63,63,84,28,28,84,42,42,126,42,126,126,126,126,126,126,126,42,126,126,126,126,
126,42,42,42,294,126,126,126,126,126,294,42,126,126,126,42,126,126,42,126,126,
42,126,42,126,126,126,42,126,126,168,56,252,252,252,84,252,252,252,84,252,84,
84,252,252,252,84,252,252,84,252,84,252,252,84,84,252,252,84,252,252,252,84,
84,252,252,252,84,252,252,252,252,252,252,84,84,252,84,252,252,252,84,84,84,
84,84,252,84,252,84,252,252,84,84,252,84,252,84,252,84,252,252,84,84,252,84,
84,252,84,84,84,252,252,252,252,84,252,168,504,168,168,168,168,504,168,168,
168,168,168,168,168,168,168,168,168,168,504,168,168,168,168,168,168,168,168,
168,168,168,168,168,168,168,168,168,168,168,168,504,168,168,168,168,504,168,
336,336,336,512,28,112,224,112,336,112,112,112,336,112,112,336,112,336,336,
336,112,112,112,336,112,112,336,224,672,224,224,224,224,224,672,224,224,224,
224,224,224,224,224,448,64,64,7,7,14,49,49,21,21,7,7,42,14,42,42,21,21,21,21,
21,21,63,21,21,21,21,63,63,63,63,63,21,63,21,63,21,21,63,28,28,28,42,126,126,
126,42,126,42,42,126,126,126,126,42,126,126,42,126,126,126,126,126,42,42,42,
42,42,42,42,42,42,126,42,42,42,42,126,126,42,126,126,126,42,42,126,126,42,126,
42,42,126,42,126,42,126,42,42,126,42,126,126,126,126,42,42,42,42,42,126,84,84,
252,84,84,84,84,84,84,84,84,84,84,252,84,84,252,84,252,252,84,84,84,84,84,84,
252,252,84,84,84,84,252,84,84,252,84,84,84,84,84,84,84,252,252,84,84,84,252,
84,84,84,84,84,252,84,84,252,84,252,84,84,84,84,84,84,84,84,84,84,84,252,252,
84,84,84,84,84,252,252,84,84,84,84,252,168,168,168,168,168,168,28,28,84,28,28,
112,56,56,168,56,56,112,112,112,336,112,112,112,112,112,112,112,336,112,112,
112,112,112,112,112,112,224,224,224,224,224,64,64,1,7,7,21,7,7,42,14,14,42,21,
21,21,63,63,21,63,63,21,21,21,21,21,21,21,63,21,63,21,21,21,63,21,21,21,63,63,
21,21,42,126,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,126,42,42,42,42,42,
42,42,42,42,42,42,42,126,126,42,126,42,42,42,42,42,42,126,42,42,42,126,42,42,
42,42,42,42,42,42,42,42,42,126,126,42,42,42,42,42,42,42,42,42,126,42,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,252,84,64,64,64,28,56,28,28,28,28,28,28,
84,84,28,28,28,28,28,84,28,28,28,28,28,28,84,28,56,56,56,168,56,168,56,56,56,
112,112,112,7,21,21,7,21,21,21,21,21,21,21,21,63,21,21,63,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,63,21,21,63,21,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,64,64,64,64,28,28,28,28,28,28,84,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,84,28,28,56,56,56,56,7,7,21,21,21,21,21,21,21,21,21,21,21,21,
21,7,7,28,28,28,28,28,8,21,8,7,7,7,7,7,7,8,8,8,7,7,1],[1,15,420,560,560,35,
560,630,630,840,2520,2016,1680,3360,3360,1680,960,15,105,315,210,420,210,420,
1260,630,630,1260,1260,5040,1120,2016,140,140,700,560,840,560,560,2240,1680,
1680,1680,1680,960,1,35,105,105,315,315,315,630,630,630,630,1260,1260,1260,
1260,1120,2016,960,420,840,420,420,840,420,840,1680,1680,840,2520,1680,3360,
1680,105,105,105,315,315,315,315,630,630,630,630,560,1120,560,960,35,140,35,
140,420,140,140,420,420,420,420,420,420,420,420,420,840,840,120,336,1008,672,
35,105,315,315,315,315,315,560,560,126,105,210,105,105,420,210,420,420,420,
420,420,120,336,336,315,70,140,126,120,120,240,35,35,35,35,105,105,105,105,
105,105,105,70,140,126,120,120,120,224,105,105,105,105,105,35,70,21,42,35,15,
21,16,15,15,7,1],[1,15,840,840,896,2240,35,105,315,420,1120,1260,1260,2520,
3360,3360,10080,10080,5376,2240,6720,6720,8960,13440,13440,13440,7680,15,105,
210,315,315,315,420,420,630,630,630,630,840,840,840,840,840,840,960,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1680,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,5040,20160,20160,4480,
5376,560,1120,1120,2240,3360,3360,4480,4480,4480,6720,6720,6720,6720,6720,
6720,13440,13440,13440,13440,7680,5376,1,70,105,105,105,105,105,120,210,210,
210,315,315,315,315,315,420,420,420,420,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,840,840,840,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,5040,5040,5040,5040,5040,5040,5040,5040,5040,5040,5040,5040,4480,8960,
8960,16128,7680,560,1680,1680,1680,1680,2240,3360,3360,3360,3360,3360,3360,
3360,3360,6720,6720,6720,6720,6720,6720,6720,6720,6720,6720,6720,6720,13440,
13440,13440,5376,105,105,105,210,210,210,210,210,210,315,315,315,315,315,315,
315,315,315,315,315,315,420,420,420,420,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,840,
840,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,
5040,2240,4480,4480,4480,4480,7680,56,280,280,420,560,840,1120,1120,1680,1680,
1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,
1680,1680,1680,3360,3360,3360,3360,3360,3360,3360,3360,3360,3360,3360,3360,
3360,3360,3360,3360,3360,3360,6720,960,960,896,2688,2688,5376,15,35,70,105,
105,105,105,105,105,210,210,210,210,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,420,420,420,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,2520,2520,2520,2520,2520,2520,2240,2240,2240,4480,4480,336,420,420,420,
420,420,560,560,840,840,840,840,840,840,840,840,840,1680,1680,1680,1680,1680,
1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,
1680,1680,1680,1680,3360,3360,3360,3360,3360,3360,960,960,2688,2688,2688,15,
15,105,105,105,105,210,210,210,210,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,280,1120,2240,336,960,
960,960,1920,896,35,70,140,280,280,280,280,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,420,420,420,420,420,420,420,420,840,840,840,840,840,
840,840,840,840,840,840,840,840,840,840,840,840,840,1680,1680,1680,336,35,105,
105,105,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,
315,315,315,315,315,315,315,315,315,315,315,315,315,315,630,630,630,630,630,
630,630,630,630,630,630,630,630,630,630,630,280,560,560,1120,1008,960,960,960,
960,896,896,35,105,105,140,210,210,210,420,420,420,420,420,420,420,420,420,
420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,840,
840,840,840,840,840,840,840,120,336,105,105,105,315,315,315,315,315,315,315,
315,315,315,315,315,140,280,280,280,280,35,35,70,105,105,105,105,105,105,105,
210,210,210,210,420,420,420,420,420,120,120,56,168,336,315,140,140,140,280,
280,120,120,120,35,35,105,105,105,105,105,105,105,105,105,105,105,210,168,168,
35,140,128,120,120,120,120,120,56,105,105,105,35,35,35,28,56,35,15,28,15,15,8,
1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,15,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,20,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,42,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,56,56,60,60,60,60,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,72,72,72,72,72,80,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,96,96,112,112,120,120,120,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,144,144,144,160,168,168,168,168,180,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,240,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
288,288,288,288,320,336,336,336,336,360,360,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,448,480,512,512,
512,512,512,512,512,512,512,512,512,512,512,512,512,576,576,576,576,576,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,896,
896,960,960,960,1024,1152,1152,1152,1152,1152,1344,1344,1344,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1920,1920,2304,2304,
2520,2688,2688,2688,2688,2688,2880,3072,3072,3072,4608,4608,4608,5760,5760,
9216,10752,11520,21504,21504,40320,322560],
[1176,1174,1066,1075,1039,920,1170,1162,1128,1118,1032,1027,1027,865,784,782,
454,455,537,920,531,531,482,258,258,267,484,1173,1163,1150,1128,1128,1128,
1118,1118,1084,1085,1093,1094,1056,1074,1060,1055,1074,1054,1037,984,1026,
1009,984,1027,984,1009,1009,1027,1027,984,1009,968,803,860,865,877,845,906,
877,865,865,906,865,562,700,547,690,562,225,231,740,537,1103,1032,1032,920,
782,784,739,739,739,531,531,531,531,531,531,258,267,258,267,484,537,1176,1165,
1164,1162,1163,1163,1162,1158,1139,1150,1147,1128,1128,1128,1128,1128,1118,
1118,1118,1118,1084,1094,1085,1094,1094,1084,1084,1086,1094,1084,1094,1094,
1094,1094,1084,1085,1085,1085,1094,1056,1055,1054,1009,1027,984,978,978,1009,
1016,978,1009,1009,1009,978,978,1009,984,1009,984,984,978,1016,984,1009,1027,
1027,1027,1009,984,1009,978,1009,984,1009,978,1027,1009,1009,1027,984,877,877,
877,793,793,803,908,877,834,906,803,906,906,877,803,877,803,877,803,877,865,
803,845,877,803,877,877,845,877,877,877,906,877,877,906,860,877,906,877,860,
902,877,877,700,690,562,700,700,690,562,690,547,690,547,700,740,480,482,239,
484,1103,974,975,975,976,920,782,767,767,786,785,787,783,784,528,531,531,531,
526,531,520,523,525,519,531,531,267,268,269,537,1163,1164,1162,1150,1150,1138,
1150,1145,1141,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,
1106,1118,1122,1118,1085,1085,1085,1095,1084,1094,1094,1084,1084,1094,1084,
1085,1094,1084,1085,1085,1086,1090,1093,1090,1090,1094,1084,1086,1094,1094,
1084,1085,1085,1084,1094,1085,1084,1084,1084,1085,1094,1093,1094,1085,1094,
1095,1094,1095,1085,1090,1074,1054,984,978,978,1017,978,1009,978,1027,1009,
992,1027,984,978,978,1017,1016,978,1009,978,1027,984,978,984,1009,978,978,984,
978,1009,1009,1027,1027,978,978,984,984,978,1009,1009,978,1016,978,1009,1027,
1009,984,984,1009,1009,1009,1009,984,984,984,978,984,978,1009,1009,978,1009,
1027,1009,984,978,1027,990,1017,984,984,984,984,1009,1009,1009,1009,1009,1009,
1003,984,978,984,978,1009,1009,877,877,906,906,877,877,803,906,906,860,877,
877,877,877,845,877,877,803,845,809,860,860,906,906,845,906,845,803,877,906,
906,803,877,860,877,803,877,877,877,803,877,803,877,877,877,906,906,690,700,
728,920,740,740,740,739,484,1169,1131,1133,1120,1103,1075,1032,1032,976,976,
975,975,976,976,974,976,975,974,974,974,975,974,975,975,976,976,974,974,767,
786,767,787,782,786,784,782,786,785,783,783,785,784,787,782,787,784,531,1035,
1037,1039,792,791,537,1173,1170,1165,1164,1164,1163,1163,1162,1162,1139,1146,
1147,1150,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,
1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1122,1118,1122,1090,1094,
1095,1085,1084,1094,1095,1095,1084,1084,1094,1090,1085,1085,1094,1085,1084,
1085,1086,1094,1094,1084,1084,1095,1093,1084,1090,1084,1084,1085,1085,1092,
1084,1085,1084,1085,1085,1084,1095,1094,1085,1084,1084,1085,1084,1085,1085,
1093,1094,1088,1084,1090,1094,1095,1084,1090,1094,1084,1085,1090,1097,1084,
1085,1085,1085,1085,1091,1094,984,984,990,1027,1009,1009,1017,1009,1027,1009,
984,1009,1009,978,1009,984,978,984,978,1009,1009,1009,1009,992,984,992,1009,
978,1003,1017,1009,1003,990,1009,1027,990,984,1017,1017,1009,1017,1027,1027,
978,990,1027,1009,984,978,984,1017,1009,1009,1009,1009,1027,1017,984,992,978,
1027,1009,1009,1009,984,1003,1027,1027,1017,984,1003,1009,984,984,1017,1027,
984,984,978,984,992,984,1017,1027,984,877,906,906,877,906,906,920,920,920,739,
740,1127,1120,1120,1118,1122,1120,1103,1100,1076,1060,1068,1079,1074,1075,
1068,1081,1060,976,959,975,956,976,976,957,976,972,975,974,974,975,975,976,
974,976,976,974,974,975,974,975,974,782,783,784,785,786,787,1037,1035,790,791,
792,1174,1173,1163,1164,1163,1162,1150,1146,1147,1141,1128,1128,1128,1128,
1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,
1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1085,1090,1094,1090,1094,
1084,1095,1084,1084,1090,1084,1085,1084,1094,1090,1085,1094,1090,1090,1090,
1084,1085,1095,1084,1095,1095,1085,1085,1094,1084,1085,1085,1094,1094,1095,
1094,1095,1095,1085,1095,1084,1095,1090,1090,1086,1085,1085,1090,1084,1084,
1084,1095,1084,1094,1085,1090,1095,1085,1084,1085,1094,1084,1084,1085,1085,
1090,1084,1085,1094,1027,1027,984,992,984,1027,1009,1027,1017,1017,1007,1003,
1017,982,1009,990,1017,1132,1032,920,1127,1035,1034,1037,925,1039,1170,1165,
1154,1131,1133,1133,1133,1120,1120,1118,1122,1122,1120,1118,1118,1122,1118,
1118,1122,1120,1118,1122,1120,1120,1122,1122,1120,1119,1118,1076,1081,1081,
1075,1060,1079,1076,1060,1074,1080,1079,1068,1074,1074,1078,1068,1075,1075,
974,975,976,1127,1170,1164,1164,1162,1128,1128,1128,1128,1128,1128,1128,1128,
1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,1128,
1128,1128,1128,1128,1128,1128,1128,1128,1095,1084,1090,1085,1094,1090,1085,
1090,1094,1095,1090,1084,1095,1094,1094,1095,1132,1100,1103,1032,1033,1034,
1035,1036,1037,1038,1039,1170,1164,1164,1154,1141,1150,1141,1122,1122,1122,
1121,1120,1118,1114,1118,1122,1122,1118,1121,1118,1120,1122,1122,1119,1120,
1120,1118,1120,1120,1118,1120,1119,1118,1119,1074,1075,1076,1077,1078,1079,
1080,1081,1159,1127,1163,1162,1164,1128,1128,1128,1128,1128,1128,1128,1128,
1128,1128,1128,1128,1154,1132,1133,1132,1132,1170,1170,1165,1164,1164,1162,
1164,1164,1164,1164,1150,1150,1141,1141,1118,1119,1120,1121,1122,1158,1159,
1169,1152,1127,1128,1154,1154,1154,1132,1133,1159,1156,1157,1170,1170,1163,
1164,1164,1162,1164,1162,1164,1162,1163,1164,1164,1150,1151,1152,1170,1154,
1155,1156,1157,1158,1159,1160,1169,1162,1163,1164,1170,1170,1170,1172,1169,
1170,1173,1172,1173,1174,1175,1176],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,1,5,6,1,1,1,1,2,1,2,1,1,2,2,1,2,2,
1,2,1,1,1,2,1,1,1,2,1,2,1,1,1,2,1,2,2,2,1,2,2,1,1,1,2,2,1,2,1,2,1,1,2,1,2,4,4,
1,19,7,11,7,1,16,15,1,11,11,6,6,1,6,6,1,6,5,6,5,1,1,1,1,1,1,2,2,1,1,2,1,1,2,1,
2,2,2,2,2,2,2,2,1,2,2,2,2,1,2,2,2,2,1,2,1,1,2,2,2,2,2,1,1,9,2,2,2,2,9,1,2,2,2,
9,1,2,2,2,9,2,2,2,2,2,9,2,2,2,9,2,9,2,2,2,2,2,2,1,9,2,2,9,2,2,2,2,9,1,2,2,2,9,
1,2,9,1,9,9,9,2,9,2,2,2,9,9,1,9,2,1,2,9,2,9,2,2,2,9,2,9,2,2,2,9,12,4,2,12,12,
4,2,4,2,4,2,12,78,6,5,19,27,80,35,7,80,29,6,16,7,80,44,7,40,11,15,16,22,2,6,
85,22,16,81,82,85,22,6,26,88,87,19,2,1,2,7,7,7,1,7,7,2,7,2,2,7,2,2,7,7,7,7,2,
7,2,2,2,9,7,9,7,1,7,2,2,7,7,2,9,7,2,9,2,2,7,7,2,7,7,2,2,2,2,7,9,2,7,7,9,7,7,7,
9,2,2,7,2,7,2,2,2,9,1,2,2,9,7,7,7,2,9,7,9,9,7,9,9,7,7,7,9,7,9,7,2,7,7,2,9,2,2,
9,7,9,9,2,2,7,2,7,9,7,2,9,7,9,7,2,9,9,2,9,9,7,2,9,9,9,9,7,9,2,9,9,2,9,2,7,2,7,
9,2,7,2,9,2,2,9,9,2,9,2,9,7,9,7,9,2,9,2,9,9,12,12,9,9,9,13,9,12,9,9,9,9,13,9,
9,9,13,8,12,12,13,13,13,13,13,9,9,12,9,9,2,12,9,9,9,9,9,9,2,9,9,9,9,2,12,13,
12,8,7,78,78,78,11,27,101,102,102,103,7,110,11,7,29,245,7,7,245,29,35,245,80,
242,35,242,80,35,80,80,245,29,242,242,80,44,80,252,16,250,85,16,250,82,81,81,
82,85,40,16,252,15,22,28,46,534,535,536,100,1,7,7,7,7,7,2,2,2,2,8,7,7,7,33,33,
33,33,7,7,33,33,33,2,2,7,7,2,7,7,7,7,2,33,2,7,28,2,28,33,7,33,9,33,7,33,33,7,
7,7,33,7,9,7,9,7,8,7,7,2,7,33,33,33,33,33,33,33,9,9,33,33,33,7,9,7,33,33,7,9,
33,33,9,7,2,9,33,7,33,33,33,7,33,33,33,7,33,7,33,33,7,9,9,33,9,33,7,7,9,9,9,
33,9,39,33,12,9,33,33,33,7,33,33,7,33,7,33,9,33,9,39,9,39,33,7,30,30,9,30,32,
9,12,8,9,30,39,9,39,9,13,7,32,13,33,9,7,33,39,9,9,33,33,12,28,33,39,7,13,9,9,
9,9,30,9,12,28,33,30,33,33,9,30,13,33,9,7,33,39,9,30,8,33,9,51,51,9,51,51,83,
80,479,483,236,101,488,103,295,294,488,80,485,102,488,103,101,342,110,488,102,
103,245,110,80,486,245,245,487,245,490,80,242,242,243,243,29,242,245,245,35,
242,243,242,28,242,45,253,254,251,250,252,46,28,534,536,535,2,28,105,7,105,28,
7,107,105,103,9,33,32,33,33,33,32,33,33,33,33,105,33,28,105,28,105,7,33,33,33,
9,7,105,105,7,33,33,105,9,113,32,113,39,105,112,33,33,113,33,33,105,30,33,33,
30,113,115,105,105,33,112,33,112,103,33,9,39,105,33,107,39,7,33,30,105,33,107,
105,7,112,105,33,32,9,33,115,105,105,33,103,33,30,32,115,103,33,33,107,39,33,
105,107,33,115,33,107,28,51,134,33,115,33,51,33,134,139,139,116,112,139,116,
33,113,139,101,102,479,741,532,923,533,925,534,539,540,539,102,101,102,540,
488,103,744,745,294,488,295,744,745,295,295,294,488,744,745,488,103,294,745,
103,543,744,486,487,487,110,488,485,486,488,753,549,485,488,342,753,548,488,
490,490,242,243,245,101,7,103,103,107,116,105,33,107,115,113,107,105,113,112,
115,107,33,113,112,103,33,107,112,105,103,112,115,105,105,116,113,33,115,107,
105,284,105,281,107,139,281,107,281,139,284,281,105,284,134,134,284,918,485,
489,919,741,923,532,1036,533,1038,926,927,539,927,929,927,540,539,745,294,745,
539,743,744,928,295,745,745,744,929,744,488,745,745,954,743,272,744,488,488,
744,743,954,744,543,753,754,749,933,548,752,549,756,538,741,105,107,272,281,
557,272,281,557,557,283,291,284,291,557,284,539,918,540,918,918,539,978,540,
927,539,981,927,927,927,539,928,928,927,927,744,954,743,929,745,793,538,1125,
1126,977,557,929,927,1099,1029,1101,1082,1135,1136,1105,927,1105,796,927,1109,
1041,1109,1041,981,978,1041,927,1045,1125,1126,978,1099,1155,1135,1136,1123,
1082,1160,1125,1109,1105,1041,1153,1104,1105,1168,1161,1153,1171,1168,1171,
1174,1175,1176],
[( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 13)( 11, 17)( 12, 19)( 14, 22)
( 16, 25)( 18, 28)( 20, 30)( 21, 32)( 24, 36)( 26, 39)( 29, 43)( 31, 42)
( 33, 46)( 35, 48)( 37, 50)( 40, 54)( 41, 55)( 44, 59)( 45, 60)( 47, 63)
( 49, 64)( 51, 53)( 52, 68)( 56, 71)( 57, 73)( 58, 75)( 61, 77)( 65, 80)
( 66, 74)( 67, 83)( 69, 79)( 70, 85)( 76, 89)( 78, 90)( 81, 96)( 82, 93)
( 84, 98)( 87,101)( 88,102)( 91,104)( 92, 97)( 94,107)( 95,105)( 99,108)
(100,112)(103,114)(109,118)(110,120)(111,121)(119,125)(122,127)(123,126),
( 1, 3, 6, 11, 18, 29, 44)( 2, 4, 8, 14, 23, 35, 19)( 5, 9, 15, 24,
37, 51, 67)( 7, 12, 20, 31, 25, 38, 52)( 10, 16, 26, 40, 13, 21, 33)
( 17, 27, 41, 56, 72, 88,103)( 22, 34, 47, 64, 30, 43, 58)( 28, 42, 57, 74,
90,104, 85)( 32, 45, 61, 78, 71, 87, 55)( 36, 49, 66, 82, 39, 53, 69)
( 46, 62, 79, 94,108,117,107)( 48, 65, 81, 68, 84, 99,101)( 54, 70, 86,100,
113,122, 63)( 59, 76, 92,105,115, 83, 97)( 60, 77, 93,106,116,123,125)
( 73, 89, 98,111, 96,110,102)( 75, 91, 80, 95,109,119,121)(112,118,124,120,
126,128,127)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]]],[[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,-1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,
1,1]]],[[[2,2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,
1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[9,1],[10,1,6,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[6,-2]]],[[[1,1,2,
1],[3,2,2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,
3,-1,4,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,
1,6,-1,5,2,2,1,6,1],[7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[7,1],[8,2,4,1]]],[[[2,
1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,
2,2,5,-1,2,-1,1,1,2,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[2,1,1,1],[2,-2,1,1,2,
2],[1,1,2,1],[2,-1,1,1,2,-1,5,2],[4,1,6,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,
1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,
2,-1],[8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[
2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[6,-2],[10,1,9,1,
10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,
2,2,7,-1,2,-1,1,1,2,-1],[8,1,6,1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,
3,-2,2,-1],[1,1,2,1],[6,3,2,1,6,1,2,1,1,1],[7,1],[5,1,8,-1,5,1,8,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,2],[1,1,2,1],[5,3,2,1,5,1,2,1,1,1],[6,1],[7,1,4,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[6,3,2,1,
6,1,2,1,1,1],[7,1],[5,1,8,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,
2,-1],[1,1,2,1],[6,3,2,1,6,1,2,1,1,1],[7,1],[5,1,8,-1,5,1,8,1]]],[[[1,1,2,1],[
3,2],[2,1,1,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,
2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[2,2,1,1]]],[[[1,1,2,-2,
1,1,2,2]]],[[[2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[5,1],[8,1],[9,1,10,1,9,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[6,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,
1,8,-1,7,1,2,1,8,2],[9,1],[10,1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[5,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,
-1],[8,1,5,-1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,
2,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,
1],[2,-2,1,1,2,2],[8,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,
-1,3,1,2,2]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,
3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,
-1,5,2,2,1,6,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,-1,3,1,2,1,4,2],[5,1],[6,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,
2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,1,9,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[
7,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,
1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[8,1],[5,1,9,-1,5,1,9,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,-1,4,2,3,-1],[5,1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,
6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,
7,1,2,1,1,1,2,2,7,1],[8,1,6,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,
4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,2,8,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,
-1],[8,1],[9,1,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,
1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[8,1],[9,2,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,6,-1,5,1,3,1,6,1,4,
-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,2,4,-1,3,2,2,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,2,4,-1,3,2,2,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,
1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,
-2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,2,2,2,5,1,6,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,
1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,1,9,-3,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,
6,1],[5,1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,
2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,5,1,4,1,2,1,1,1],[6,-4]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,
2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,5,1,4,1,2,1,1,
1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1],[1,1,2,1],[2,-1,1,1,2,-1,11,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,13,
1,14,2,2,2,13,1,14,1],[15,1,12,1],[10,1,16,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,
2,7,1],[6,1,8,1,6,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[8,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,
1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[10,2,11,1,2,1,11,
2],[1,1,2,1],[1,1,2,-1,13,2,2,2,13,2],[14,1,12,1],[9,-2],[16,1,15,1,16,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,
7,1,2,1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,10,1,11,3,10,-1,
11,-1,2,-1],[1,1,2,1],[2,1,1,1],[14,1,13,1,2,1,13,1,14,1,2,2,1,1,2,-1],[12,1,
15,1],[9,1,16,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2],[1,1,2,1],[1,1,2,-1,
6,2,2,2,6,2],[7,1,5,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,9,1,10,3,9,-1,10,-1,2,
-1],[1,1,2,1],[2,1,1,1],[12,2,13,1,2,1,13,2],[11,1,14,1,11,1],[8,1,15,1]]],[[[
2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,
1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1],[1,1,2,1],[
2,-1,1,1,2,-1,10,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,12,1,13,2,2,2,12,1,13,1],[
14,1,11,1],[9,1,15,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
1,3,-2,2,-1,4,-1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,2,2,2,5,1,6,1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,
4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,
5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,2],[8,1,9,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,
-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,
-2,4,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[
6,1,8,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,
1,6,-1,5,1],[7,1],[8,1,4,1,8,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,
1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,-2]]],[[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,
3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[
3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,
1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,3,4,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,
1,5,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,
1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,
4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,
1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,
-1],[8,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,
-1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,
1],[6,1],[7,1,8,1,7,1,8,1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[6,
1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,-2],[
10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,1,4,-1,3,1,2,1,3,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,-1,3,-1,4,1,5,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,2,4,1,2,-1,
3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,
-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,
1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[1,
1,2,-1,3,-1,2,-2,1,1,2,2,3,2]],[[1,1,2,1],[1,1,2,-1,3,4,2,2,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,3,1,2,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,-2,3,-1,5,-1,4,
1,3,1,2,1,3,1,5,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,-2,4,2,3,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,3,1,4,1]],[[2,1,1,1],[2,-2,1,1,2,
2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,1,3,1,4,-1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1],[1,1,2,1],[6,1,2,1,6,1,2,1,1,1,2,2],[5,1,7,1],[7,1,5,1,8,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[6,3,2,1,6,1,2,1,
1,1],[7,1],[5,1,8,1],[9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,
1,2,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,1,1,2,-1,3,-1,2,1,4,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,4,-1,3,1,5,-1,4,-1]],[[2,1,1,1],[2,-2,1,
1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,-1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-2,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2],[1,1,2,1],[5,3,2,1,5,1,2,1,1,1],[6,
1],[7,2,4,1,7,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2],[1,1,2,1],[5,3,2,1,5,1,
2,1,1,1],[6,1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2],[1,1,2,
1],[5,3,2,1,5,1,2,1,1,1],[6,1],[7,2,4,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,
1,2,1],[6,3,2,1,6,1,2,1,1,1],[7,1],[5,1,8,-1,5,1,8,1]]],[[[1,1,2,-1,1,1,2,2,1,
1,2,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,-1,3,1]],[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,1,2,-1]]],[[[1,
1,2,1],[2,2,1,1,3,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,1,5,1,6,-1,5,1,2,1,
5,1,6,1],[4,1],[7,1,8,-2]],[[1,1,2,1],[2,2,1,1,3,-2,2,-1,3,-1],[1,1,2,1],[2,1,
1,1],[2,1,6,1,5,1,6,-1,5,1,2,1,5,1,6,1],[4,1],[7,1,8,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,2,1],[2,2,1,1,6,-2,2,-1,6,-1],[5,1,7,
1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,2,1],[
2,2,1,1,6,-2,2,-1,6,-1],[7,1,5,1,7,1,5,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[
1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[7,1],[8,1,4,1,8,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[2,1,1,1],[2,-2,1,
1,2,2],[1,1,2,1],[2,-1,1,1,2,-1,5,2],[4,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,
-1,6,1,2,1,7,2],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,
1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[5,1,8,1]]],[[[2,1,1,1],[2,2,
1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,
1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,
2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[5,1,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[8,1,9,1,8,1,9,
1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[
6,1],[7,1,8,1,7,1,8,1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[2,1,1,1],[
5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1,6,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[
5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,2,2,2,6,1,7,1],[8,1,5,
1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[
6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,
6,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,
2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,10,1,11,3,10,-1,11,-1,2,-1],[1,1,2,1],[2,1,1,1],[13,2,14,1,2,1,14,2],[12,1,
15,1,12,1],[16,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,
-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1,8,1],[9,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,
1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,10,1,11,3,10,-1,11,-1,
2,-1],[1,1,2,1],[2,1,1,1],[14,1,13,1,2,1,13,1,14,1,2,2,1,1,2,-1],[12,1,15,1],[
9,1,16,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2],[1,1,2,1],[1,1,2,-1,6,2,2,2,
6,2],[7,1,5,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,9,1,10,3,9,-1,10,-1,2,-1],[1,1,2,
1],[2,1,1,1],[12,2,13,1,2,1,13,2],[11,1,14,1,11,1],[8,1,15,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,2,1],[2,2,1,1,6,-2,2,-1,6,-1],[
7,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,2,
1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,1,2,1,6,1,7,1],[8,1,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,6,1,
2,1,6,1,7,1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[1,1,2,1],[2,-1,1,1,2,-1,10,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[15,1,9,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,
7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[13,2,11,1,
13,1,12,-2,11,-1],[2,1,1,1],[15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,1],[10,1,
17,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,
-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,
-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,1,13,1],[
17,1],[9,1,18,1,9,1,18,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[14,1,2,2,14,
-1,2,-1,1,1,2,-1],[13,1,15,1],[9,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,
15,-1,14,-2,2,-1],[16,1,13,1],[17,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[1,1,2,1],[2,-1,1,1,2,-1,
3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1],[1,1,2,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[6,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,
1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[
6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[14,1,2,2,14,
-1,2,-1,1,1,2,-1],[13,1,15,1],[9,1,16,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,
2],[15,1,13,-1],[9,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,-1],[16,1,
9,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,
-1,5,2,2,1,6,1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,
1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[8,1,5,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,
2,1,8,-1,7,2,2,1,8,1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,
5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[8,1,6,2]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1],[2,1,1,1],[1,1,2,1,5,-1,2,-1],[1,1,2,-1,6,2,5,-1],[4,1,7,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,
-1,7,2,6,-1],[8,1],[5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,
4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[8,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[5,1,
8,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
7,1,6,-2,5,-1,7,2,5,1],[4,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,11,-1,12,
2,11,-1,10,-2],[1,1,2,1],[2,1,14,1,2,1,1,1,2,2,14,1],[13,1,15,1,13,1],[9,1,16,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,
1,2,1,1,1,2,2,7,1],[6,1,8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,
-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2,9,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,12,-1,13,2,12,-1,11,-2],[1,1,2,1],[2,1,
15,1,2,1,1,1,2,2,15,1],[14,1,16,1,14,1],[10,1,17,1]]],[[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,
1,9,-3,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,
1,2,1,6,-2,2,-1],[5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[
1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[5,1,8,1]]],[[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,
1],[2,2,1,1,2,1,6,-2,2,-1],[5,1,7,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,
2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[6,1],[7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,
2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,
1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,
2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[5,1],[8,1],[9,1,
10,1,9,1,10,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,
2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,
-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[9,1],[10,
1,6,1,10,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,
6,2,2,1,6,-1,5,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,5,-1,8,
1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,
1],[6,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,
2,3,1,2,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[3,1,
1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,
-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1,8,1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[8,1,7,-2,6,
-1,8,2,6,1],[5,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,
-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,1,2,-1],[
5,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[1,
1,2,-1,6,2,2,2,6,2],[7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,
-2,2,-1],[9,1,6,1],[1,1,2,1],[2,-1,1,1,2,-1,11,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,13,1,14,2,2,2,13,1,14,1],[15,1,12,1],[10,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,
2],[15,1,13,-1],[9,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[
2,-1,1,1,2,-1,11,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,13,1,14,2,2,2,13,1,14,1],[
15,1,12,1],[10,1,16,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,
1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,1,9,
1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1,6,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,
2,-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2],[5,-2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,5,-1,8,1]]],[[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[
4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,-2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,5,1,4,1,2,1,1,
1],[1,1,2,1],[7,2,2,1],[1,1,2,-1,8,-2,2,1,1,1],[9,1,6,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,
3,1,5,1,4,1,2,1,1,1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[1,1,2,-1,6,2,2,2,6,
2],[5,2],[7,1,8,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[
1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,1,2,-1],[5,1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,
2],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,4,1,3,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[
2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1],[
8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,
1,8,1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,-1,1,1,2,-1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,
3,-1,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,
1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[5,1],[9,1,8,1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,
1,6,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[5,1],[8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[9,1,
6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,
7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
2,5,2,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,1,5,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,
1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,-2]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,4,1]]],[[[2,1,1,1],[2,-2,1,1,2,
2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[8,1,5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[1,1,2,
-1,6,2,2,2,6,2],[5,1,7,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[
2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,
1,2,2,6,1],[7,1],[8,1,5,-1,8,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,
2,5,-1,2,-1,1,1,2,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,
8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,
1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,-1,4,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[3,1,2,1,3,1,2,
1,1,1,2,2]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,-2,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,
-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,1,8,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,
1],[4,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,
1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,2,2,2,5,1,6,1],[7,1,4,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,
-1,7,2,6,-1],[8,1],[5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,
4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[5,-1,8,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[8,1,
5,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-2,4,1,3,2]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,
4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,2,
1,7,1,6,1,7,-1],[5,1],[9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,
4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,
1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,
4,-1,3,1,1,1,4,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,
1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2],[10,1,9,1,10,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,
1],[8,1,6,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,
1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,
1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,
1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,
5,2,2,1,6,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,
1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,
2],[9,1],[10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,
1,2,-1,1,1,2,-1,4,1],[1,1,2,1],[2,2,6,1,2,1,6,1,2,1,1,1],[7,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,1,2,
-1,1,1,2,-1,4,1],[5,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2,2,1,4,-1,5,2,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,
10,1,12,1,11,-2,10,-1],[2,1,1,1],[14,1,2,2,14,-1,2,-1,1,1,2,-1],[13,1,15,1],[
9,1],[17,1,16,1,17,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,
-1],[9,1,16,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,3,-2,2,-1,4,-1]],[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,
4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,
1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,
3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[2,1,1,1],[2,-2,1,1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,
1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,10,1,11,3,10,-1,11,-1,
2,-1],[1,1,2,1],[2,1,1,1],[13,2,14,1,2,1,14,2],[12,1,15,1,12,1],[16,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,
1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[10,2,11,1,2,1,11,
2],[1,1,2,1],[1,1,2,-1,13,2,2,2,13,2],[14,1,12,1],[15,1,9,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[
5,1,8,1,5,1,8,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,10,1,11,3,10,-1,11,-1,2,-1],[1,
1,2,1],[2,1,1,1],[14,1,13,1,2,1,13,1,14,1,2,2,1,1,2,-1],[12,1,15,1],[9,1,16,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,
2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2],[10,1,9,1,10,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,
8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,
7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,
4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,
5,2,2,1,6,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,
2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,-1],[6,1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,
1,2,1,1,1],[8,1,6,-2]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[1,
1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,2,2,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[2,1,1,
1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[
8,1,4,1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,
2,5,1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,1,1,2,-2,3,-1,4,1]],[[
1,1,2,-2],[3,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[
2,-1,1,1,2,-1,11,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,13,1,14,2,2,2,13,1,14,1],[
15,1,12,1],[10,1,16,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,
3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,
-1],[9,1,16,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,
-1,8,2,7,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,
-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1]]],[[[2,1,1,1],[2,2,1,1,2,1,
3,-2,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,2,3,1,4,3,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,
1,3,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,
7,-1,2,-2,8,-1,7,-2,2,-1],[6,-2],[10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,
6,-2]]],[[[2,1,1,1],[3,1,2,-2,3,-1,2,-1,1,1,2,1,1,1]],[[1,1,2,-3,1,1,2,3,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,1,1,4,2,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,
6,1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,2,5,1,3,1]],[[1,1,
2,1],[3,2,2,2,3,2,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,2,4,-2,3,1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[3,2,
2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,
4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,
2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,1,1,3,-2,2,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-2,4,1,3,1,2,1,3,1]],[[1,1,2,1],[1,
1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[
5,1,7,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,
5,-1,2,-2,6,-1,5,-2,2,-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[2,1,1,1],[2,
-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[6,1],[7,1,4,1,7,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,
1,7,2,2,2,6,1,7,1],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,1,
2,1],[2,2,1,1,6,-2,2,-1,6,-1],[5,1,7,-2,5,1]],[[1,1,2,1],[2,2,1,1,3,-2,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,
-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,
2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,
1,5,1,4,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,-1],[9,1,
6,2]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,2,
-2,6,-1,2,1,7,1,6,1,7,-1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,
3,1,5,1,4,1,2,1,1,1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,-1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[2,1,1,1],[
2,1,3,1,2,-1,1,1,3,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,2,2,1,7,2],[8,1,5,1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,-1],[5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[2,1,1,1],[2,1,
3,1,2,-1,1,1,3,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,
4,1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,8,2,2,2,7,1,8,1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,
4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,1,2,1,3,
3,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[5,1,6,1,4,-1,5,1,6,1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,1,4,-1,3,1,4,1,2,-1],[2,1,1,1],[2,2,1,1,2,1],[7,1,6,-1,7,-1,6,-1],[5,1,8,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,4,1,2,-1],[5,1,1,1,2,-1,1,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,
1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,
1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,2,2,
2,6,1,7,1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,2,2,3,
1]],[[2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[2,2,1,
1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[6,1],[7,1,4,1,7,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,
-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,
6,2,2,1,6,-1,5,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,-2,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,
1,6,1]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,1,2,-1,1,1,2,-1,4,1],[1,1,2,1],[2,1,
1,1],[1,1,2,-2,6,1,7,-1,6,1,7,1],[8,1,5,-1]],[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,
1,2,-1,1,1,2,-1,4,1],[1,1,2,1],[2,2,6,1,2,1,6,1,2,1,1,1],[7,1,5,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,3,1,1,1,2,-1,4,3,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,2,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1,3,1,4,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,
-1,3,-1,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,2,3,1]],[[2,1,1,1,2,
2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[3,
1,2,2,1,1,2,-2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,
-1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,2,
1,4,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,2,4,2,2,-1,1,1,2,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,2,1,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[
1,1,2,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[3,1,2,1,
3,1,2,1,1,1,2,2],[1,1,2,1],[5,3,2,1,5,1,2,1,1,1],[6,1],[7,2,4,1,7,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,
2,2],[1,1,2,1],[5,3,2,1,5,1,2,1,1,1],[6,1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,-1,3,-2,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,
1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,2,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,1,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,2,3,-1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,2,4,-1,3,1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,
1],[2,1,1,1,3,-2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,4,-1,3,
1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,2,3,2,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1],[5,1,4,-1,3,-1,6,-1,5,1,3,1,6,1,4,1]],[[1,1,2,1],[1,1,2,-2,
3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[
2,1,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[
4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[3,3,2,1,
3,1]]],[[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-2,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,
1,2,1],[3,2],[2,1,1,1,4,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]],[[1,1,2,
2,1,1,2,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,4,-1,2,-1]]],[[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,-1]],[[1,1,2,1],[
2,1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[1,1,
2,1],[2,1,3,3,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,-1,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,
6,1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,
-1,2,1,7,1,6,1,7,-1],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,
5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[9,1,6,-2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,
1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[9,1],[10,1,6,1,10,1]],[[1,1,2,1],[2,2,3,
1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,
1],[8,1,2,1,8,-1,7,2,2,1,8,1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1],[9,1,5,
1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[2,2,1,
1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[4,1,7,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,
1,1,2,2,5,1],[6,1],[7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,
2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[5,1,
8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[7,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,2,
2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,
3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,
1],[6,1,7,2,2,1,7,-1,6,1],[5,1,8,1],[2,1,1,1],[2,2,1,1,2,1,10,-2,2,-1],[1,1,2,
1],[2,1,1,1],[12,1,13,2,2,1,13,-1,12,1],[14,1,11,1],[9,1,15,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,
1,5,-1],[1,1,2,1],[2,1,1,1],[10,1,2,1,10,-1,9,2,2,1,10,1],[2,1,1,1],[2,2,1,1,
2,1,12,-2,2,-1],[13,1,11,1],[8,1,14,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,-1],[2,1,1,1],[2,2,
1,1,2,1,9,-2,2,-1],[1,1,2,1],[2,1,1,1],[11,1,12,2,2,1,12,-1,11,1],[13,1,10,
1],[14,1,8,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,
1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,5,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[
1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,8,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,
-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,
2,2,5,-1,2,-1,1,1,2,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[
2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-2]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,
1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,
-1],[4,1,6,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,
1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,
6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,5,-1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,1,9,-1,8,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,
2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[5,1,7,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,
6,1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,3,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,
1,1,2,-1,4,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[
1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,1,1,2,
1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,2,1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,
-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,-1],[6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,
2,1,6,1,7,-1,6,1,2,1,7,2],[5,1,8,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[2,1,1,1],[2,-2,
1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,
7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[
2,1,1,1],[2,-2,1,1,2,2],[15,1,13,-1],[9,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,
-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,
2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,
-1,2,1,7,1,6,1,7,-1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
-1,4,1,5,1,3,1],[1,1,2,1],[1,1,7,-1,2,1,1,1,2,-1,7,1],[6,1,8,1,6,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1],[6,-2]],[[1,1,2,1],[1,1,3,
-1,2,1,1,1,2,-1,3,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,6,
-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,
5,2,2,1,6,1],[4,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,
1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,
1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,
-1,5,1,2,1,6,2],[4,1,7,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,4,2,5,-1,2,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,1,2,
1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,
1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,
2,2],[1,1,2,1],[2,1,1,1],[7,1,2,2,6,2,7,1],[8,1,5,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,
1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2],[5,-2]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2],[1,1,2,1],[1,1,2,-1,6,2,
2,2,6,2],[5,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,
1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[
4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]]],[[[2,1,1,1],[2,
2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,
1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,
6,-1,5,1],[4,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,
1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,
3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[9,1],[
10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,
1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,2,3,1,2,1,3,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,1]],[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,6,
1],[4,1],[8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,6,-1,
3,-1,4,-1,5,1,4,-1,3,-1,6,-1]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,-3,1,1,2,
3,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[4,1],[
6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,
3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,
1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,
1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,
2,2,-1,3,1,4,1,3,1,2,1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1],[5,1,4,1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,
3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[2,1,1,1],[2,2,3,
1,2,1,1,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,
1]],[[1,1,2,1],[1,1,2,-1],[4,2,2,-1,3,2,2,1,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,
1,1,3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,1],[
1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,
1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,
2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,-1,1,1,2,-1,11,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,13,1,14,2,2,2,13,1,14,1],[15,1,12,1],[10,1,16,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,
1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[
1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[15,1,2,2,15,-1,2,-1,1,1,
2,-1],[14,1,16,1],[10,1,17,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,
2,-1],[6,1,8,1]]],[[[2,1,1,1],[2,2,3,1,2,1,1,1,3,1,2,-1,1,1,3,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[6,1,8,1]],[[2,1,1,1],[2,-2,1,1,
2,2],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1,7,1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,
1],[7,1],[9,1,8,1,9,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,-1],[1,
1,2,1],[2,1,1,1],[10,1,2,1,10,-1,9,2,2,1,10,1],[1,1,2,1],[2,1,1,1],[12,1,13,2,
2,1,13,-1,12,1],[11,1,14,1],[15,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1,4,1]]],[[[1,1,2,
1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,3,2,1,1,
2,-1,3,2,2,1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,2,3,-2]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,
8,1,9,-1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,
2,2,5,1],[4,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,
1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[5,1,8,1,5,-1,8,1]]],[[[2,1,1,1],[2,2,1,1,
2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[
5,1,6,2,2,1,6,-1,5,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,
3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-1,3,1,2,1,4,2],[5,1],[6,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,
3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,
1,8,1,7,1,8,-1],[6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
1,2,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,
2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,
2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,
-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,-2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,
2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,
8,2],[6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[
1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,-1,1,
1,2,-1,11,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,13,1,14,2,2,2,13,1,14,1],[15,1,12,
1],[10,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,
1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,
4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,-1],[9,1,
16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,-1,1,1,2,-1,11,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,13,1,14,2,2,2,13,1,14,1],[15,1,12,1],[10,1,16,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,
1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,
3,-1,4,-1,2,-1],[5,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,
-1],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,1,2,-1],[5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,
1,7,2],[8,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[
1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,
10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,-1],[9,1,16,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,
7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[13,2,11,1,
13,1,12,-2,11,-1],[2,1,1,1],[15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,1],[10,1,
17,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,
-2,1,1,2,2],[8,1,6,-1],[1,1,2,1],[2,-1,1,1,2,-1,10,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[15,1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,
1,8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,
2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[2,1,1,1],[1,1,2,1,5,-1,2,-1],[1,1,2,
-1,6,2,5,-1],[4,1,7,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,
-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[8,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[14,1,2,2,14,
-1,2,-1,1,1,2,-1],[13,1,15,1],[9,1,16,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,
-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[1,1,2,1],[2,
1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,1,13,1],[17,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,
1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,
2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,2,
1,1,3,-1,2,1,4,-2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,2,-2,1,1,2,2,3,2]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]]],[[[
1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,1,5,2,1,1,2,-1,4,1]],[[1,1,2,1],[1,1,2,
-1,3,2,2,2,3,2]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,
2,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,2,2,2,6,1,7,1],[8,1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,
1,2,-1,7,2],[8,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,
-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1,8,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,1,2,1,4,2],[1,1,2,1],[1,1,2,-1,6,2,2,2,6,2],[7,1,5,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,
1,6,1,7,1,2,2,1,1,2,-1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,
-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1]]],[[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,6,1],[
7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,
1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[6,-1,9,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,
1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,2,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,3,-1,4,
-2]],[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,-1,1,1,2,
-1,3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1],[8,1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,
1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,
1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,
2,7,1,8,1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,
2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,
3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,
-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,
1,2,2,6,1],[5,1,7,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,
1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,2,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
-1,4,1,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,
2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1,1,1,2,-3,3,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,
4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,
1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1],[7,1],[9,1,8,1,9,1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[
5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,
3,-1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[2,1,1,1],[
3,1,2,2,3,-1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,
-1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,2,3,1,4,
-2]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-2,3,1]],[[1,1,2,-1,1,1,2,2,1,1,2,
2]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,-1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[
2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[
7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,
1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,
1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,2,2,3,1]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,3,2,1,1,2,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,
2,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,
2,-1],[6,1,8,1],[1,1,2,1],[2,-1,1,1,2,-1,10,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[9,1,15,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,
1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,
12,1,11,-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,
1,13,1],[17,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[
2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,
1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[
15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,1],[10,1,17,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,
2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[1,
1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,1,13,1],[17,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[
2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,
1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,
2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[5,
1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[7,1],[4,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,5,1,4,
1,2,1,1,1]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,3,4,2,2,1,1,1]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[2,1,1,1],[2,
2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[4,1,8,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]]],[[[1,1,2,
1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[7,
1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[
2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[4,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-1,3,2,4,-1]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,4,
-1,3,-1,6,-1,5,1,3,1,6,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,
1,4,-1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,1,5,1,
6,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,
1,6,2,2,1,6,-1,5,1],[4,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]]],[[[2,1,1,1],[2,-2,1,1,2,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,
1,1,2,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,2,2,2,6,1,7,1],[8,1,
5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,
1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,
-1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,1,1,2,-2,3,-1,4,1]],[[1,1,
2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1],[1,1,2,1],[
7,2,2,2,7,2,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,2,4,-1,3,2,2,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-2,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,2,1,4,-1,
3,1]],[[2,1,1,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,
-1,8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
7,1,6,-2,5,-1,7,2,5,1],[4,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,
2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,
1,2,2,7,1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[
1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[5,1,8,
1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,
1,6,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,
6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1,5,-2]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,5,1,3,2,2,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,1,1,2,1,3,2,4,
-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,
-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2],[1,1,2,1],[1,1,2,-1,6,2,2,2,6,2],[7,1,5,1]],[[1,1,2,1],[
1,1,2,-1,3,2,2,2,3,2],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,1,5,1,6,1,2,2,1,1,2,-1],[
4,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,
2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,-1],[9,1,6,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,
1,2,1,7,1,2,1,1,1],[8,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,2,4,1,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,
1,2,-3,1,1,2,3,1,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,
1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,3,1,2,2,1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,3,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,4,2,3,-2]]],[[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,2,2,4,2,3,2]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[3,1,5,-1,4,-2,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,
-2,2,-1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[
2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,
3,2,2,1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1,8,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1],[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[8,1,7,-2,6,-1,8,2,6,1],[5,1,9,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[2,1,1,1],[1,1,2,1,5,-1,2,-1],[1,1,2,-1,6,2,5,-1],[4,1,7,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,
1],[6,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,1,1,1,4,1,2,-2,
3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,3,1,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,
4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[6,2]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,
8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,
2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,2,2,7,1],[6,1,8,1,6,1,
8,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,
1,6,-2,5,-1,7,2,5,1],[4,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,
4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,-1],[6,2,9,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2],[1,1,2,1],[2,1,7,1,2,1,1,1,
2,2,7,1],[6,1,8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,1,1,2,1,4,-1,3,1,4,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,
1],[3,2,2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-1,3,2,
2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-1,1,1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
3,2,2,1,4,1,5,-1,4,1,2,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[3,2,2,2,3,2,1,1,2,-1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,6,-1,2,
-1],[4,1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1],[6,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,-2,4,-1]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,
-1,1,1,3,1,2,-1,1,1,2,-1,3,-1,2,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,
4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[1,1,2,-1],[3,
1,2,-2,4,3,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,
-2,2,1,1,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,1,1,3,-1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,
3,2],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1],[8,1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,
1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,
1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,
2,7,1,8,1],[9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[2,
1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[4,1],[7,1],[9,1,8,1,9,-1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,
1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[8,1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,2,1,3,1,4,
-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-2,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,
1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,
-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,2,1,3,2,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,
2,2,1],[4,1,5,-2,4,-1]]],[[[2,1,1,1],[1,1,2,-3,1,1,3,1,2,2,3,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,2,4,
-1,3,2,2,1,4,-1,5,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,
1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,
2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[1,1,2,-1],[4,1,2,
1,1,1,2,-2,4,1,3,2,2,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-2,4,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,4,1,3,1,2,2]],[[1,1,2,1],[2,-1,
1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1,1,1,2,-3,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,
-1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,2,4,-1,2,1,3,2,4,-1]],[[1,1,
2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[
1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,
1,2,-1,1,1,2,-1,4,1],[1,1,2,1],[2,2,6,1,2,1,6,1,2,1,1,1],[7,1,5,2]],[[1,1,2,
1],[3,1,2,1,3,1],[4,1,1,1,2,-1,1,1,2,-1,4,1],[1,1,2,1],[2,1,1,1],[1,1,2,-2,6,
1,7,-1,6,1,7,1],[8,1,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[4,1,1,1,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
4,-1,3,2,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,-3,1,1,2,3,1,
1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
4,-1,3,-2,2,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,
1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,
1,2,-1],[5,2],[8,1,9,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,
-1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[1,1,2,-1,6,2,2,2,6,2],[7,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,3,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,2,4,-1]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,1,1,2,-2,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,1,4,
-1,3,-2,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,2,2,3,2,
1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-1,2,-1]],[[2,1,1,1],[2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,2,1,4,2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]]],[[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,
-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,5,1,4,1,2,1,1,1],[1,1,2,1],[7,2,2,1],[1,1,
2,-1,8,-2,2,1,1,1],[6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,
5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,
1,8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,
2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,-1],[6,1,9,1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,4,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,1,2,
-1],[5,1],[9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,1,5,1,6,
1,2,2,1,1,2,-1],[4,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,1,5,
-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,
3,-2,4,1,2,2,1,1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,
1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,
1,9,1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,
-2,2,-1],[4,1,7,1]]],[[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1,1,1,2,-3,3,-1]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,2,2,3,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[2,1,1,1],[2,1,3,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,1,5,-1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,
2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1],[1,1,2,1],[1,1,2,-1,6,2,2,2,6,2],[7,1],[8,1,5,1,8,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1],[1,1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1]],[[1,1,2,
1],[1,1,2,-1,3,2,2,2,3,2],[1,1,2,1],[1,1,2,-1],[5,2,2,2,1,1,5,-1,2,1,6,-2],[4,
1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,3,1,2,2,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-4,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,
1,4,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,-1,4,-1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[2,1,1,1],[2,
2,1,1,2,1,3,3]],[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,1,2,-1,1,1,2,-1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,1,3,2]],[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,-1,2,-1,3,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-2]],[[2,1,1,
1],[2,-2,1,1,2,2]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,3,-2]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,1,4,-1,3,1,5,-1,
4,-1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-1,4,1,3,2,2,1]],[[1,1,2,1],[3,3,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,-1,2,2,3,1,4,1],[1,1,2,1],[6,1,2,2,1,1,2,-2,6,-1],[7,1,5,1,7,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,2,3,1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,
3,-1],[2,1,1,1],[5,1,2,-2,1,1,2,2,5,-1],[6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,2,3,-1,2,-1,3,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,-1,1,
1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,2,1,1,2,
2]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,
1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-2,3,1,4,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
2,1,1,4,1]],[[1,1,2,1],[3,2],[2,1,1,1,4,-2]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,1,
2,1,1,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[3,1,2,2,1,1,2,
2,3,2]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,
-1,3,1,4,2]]],[[[1,1,2,-2,1,1,2,1,1,1,2,-3]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-2,3,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[
3,2,2,1,3,1,2,2]]],[[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,
1,3,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,3]],[[1,1,2,1],[2,1,3,2],[
2,1,1,1,4,-2]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,2,1,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,2,2,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,4,-1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,3,1,2,1,3,1]]],[[[2,1,1,1],[3,1,2,3,3,-1,1,1,2,1]],[[2,1,1,1],[2,1,3,-1,1,
1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,
1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,3,2,2,3,1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]]],[[[1,1,2,1],[
2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[2,1,1,
1],[3,1,2,3,3,-1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[1,
1,2,-1],[3,2,1,1,2,-1,4,2,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,
3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]],[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,1,2,1,4,-2]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[
2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,2,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,-1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,
1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[
4,2,2,-1,3,1,4,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1,2,-1]]],[[[2,1,1,1],[
3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2]]],[[[2,1,
1,1,2,-2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,
2,1,1,2,-2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,2,3,1]]],[[[1,1,2,1],[3,1,
1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,-2,1,1,2,
2,1,1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[2,1,1,1],[1,1,2,2,3,-2]],[[2,1,1,1],[3,1,
1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]],[[2,1,1,1],[3,1,2,
-1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,
1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,
1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,-1,3,-1,4,1,
2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,2,3,
1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,2,
3,2,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,
-3]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,-1],[1,1,2,
1],[2,1,1,1],[10,1,2,1,10,-1,9,2,2,1,10,1],[1,1,2,1],[2,1,1,1],[12,1,13,2,2,1,
13,-1,12,1],[11,1,14,1],[15,1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,
1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,-1],[1,1,2,
1],[2,1,1,1],[10,1,2,1,10,-1,9,2,2,1,10,1],[2,1,1,1],[2,2,1,1,2,1,12,-2,2,
-1],[13,1,11,1],[8,1,14,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,2,2,1,1,1,2,-1,3,
-2,4,-1]],[[2,1,1,1],[1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[
4,1,2,2,3,1,1,1,2,-1,4,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-2,
4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1],[1,
1,2,1],[2,2,1,1,6,-2,2,-1,6,-1],[7,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,
-1]],[[1,1,2,1],[2,2,1,1,3,-2,2,-1,3,-1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,
6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,2,1,6,1,7,-1,6,1,2,1,7,2],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,-1,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-2,3,-1,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,
1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[9,1],[10,1,6,1,10,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[
7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[5,1,8,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[5,1,2,1,5,1,6,-1,5,1,2,1,6,2],[4,1,7,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,1,8,-1,
7,2,2,1,8,1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,
2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1],[9,1,5,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,-2,3,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1],[1,1,2,-1],[4,2,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1],[5,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,2,3,
1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,
7,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[8,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1],[9,
1,5,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,
1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[6,-2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,
2,1],[2,1,1,1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[7,1,4,1]],[[2,1,1,1],[2,-2,1,1,
2,2],[1,1,2,1],[2,-1,1,1,2,-1,5,2],[4,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,5,1,4,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[2,1,1,1],[14,1,2,2,14,-1,2,-1,1,
1,2,-1],[13,1,15,1],[9,1,16,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,
-2,8,-1,7,-2,2,-1],[9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,
-1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,
2,4,1,2,1,4,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,2,1,1,1,2,1,4,-1,3,-1,4,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,
4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,
1],[3,2,2,1,3,2,1,1,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,
1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,
2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,2,-1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,
4,1,3,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,5,-1,
8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[
6,1],[7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
2,2,2,5,1,6,1],[4,1,7,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[2,1,1,1],[5,1,2,2,5,
-1,2,-1,1,1,2,-1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,1,1,
4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[2,1,1,1],[2,2,3,1,2,
1,1,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,
2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,
2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,
1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[4,1,7,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[
5,1,6,2,2,1,6,-1,5,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,5,1,4,1]],[[2,1,1,1],[
1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,
6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[
15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,1],[10,1,17,1]],[[1,1,2,1],[2,-1,1,1,2,
-1,3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,
6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,
-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,
-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,1,13,1],[
17,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,1,4,-1,3,-2,5,-1]],[[
1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,-1,5,
-1,3,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,
2,1,4,2]],[[2,1,1,1],[2,2,3,1,2,1,1,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-2,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,
2,-1,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[
2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,6,1],[4,1],[8,1,7,1,8,1]],[[1,1,2,1],[2,2,3,1,
2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,
1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[
7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[8,1,5,1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,-1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,
1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,
1,1,2,1,6,-2,2,-1],[7,1,5,-2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,1,2,1,
3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,
-2,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,
1,2,1],[2,1,1,1],[6,2,7,1,2,1,7,2],[5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,3,3,-1,4,-1,2,-1],[5,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2],[1,1,
2,1],[1,1,2,-1,6,2,2,2,6,2],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,
3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,1],[7,1,6,1,2,1,6,1,7,1,2,2,1,1,2,-1],[5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,3,3,-1,4,-1,2,-1],[1,1,2,1],[2,1,1,
1],[6,2,7,1,2,1,7,2],[8,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
-1,4,1,5,1,3,1]],[[2,1,1,1,2,1,1,1,2,-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],[3,2,2,1],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-2,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[4,1,2,2,3,1,1,1,2,-1,4,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,
-1,5,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,
-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,2,4,1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1],[1,1,2,1],[2,1,1,
1],[7,1,2,-2,6,-1,7,2,6,-1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,2,2,1,7,2],[8,1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,7,2,6,
-1],[8,1,5,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1],[1,1,2,1],[2,1,1,
1],[6,1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,8,2,2,2,7,1,8,1],[6,
1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,
-1,1,1,2,-1,7,2],[6,1,8,1]],[[2,1,1,1],[2,-2,1,1,2,2],[1,1,2,1],[2,1,1,1],[6,
1,5,-1,2,-2,6,-1,5,-2,2,-1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1],[5,1,3,-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[2,1,1,1],[5,1,2,2,5,-1,2,-1,1,1,2,-1],[
4,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,
6,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,
2,5,1,6,1],[7,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,
1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,
-1,3,2,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[5,1,4,-1,3,-1,6,-1,5,1,3,1,6,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,
4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,
1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[
5,1,6,-1,3,-1,4,-1,5,1,4,-1,3,-1,6,-1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[
1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,
-1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,
1],[5,1,6,2,2,1,6,-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,
1,2,2,6,1],[7,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,
2,5,1,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,2,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,
3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,
3,-1,2,-2,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,
1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,
3,2]],[[1,1,2,1],[1,1,2,-1],[3,2,2,2,1,1,3,-1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,
1,4,-1,5,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,2,4,1,5,-1,4,1,2,2,3,1,5,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,
3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,
1,1,1],[3,2,4,1,2,1,4,2]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,3,2]]],[[[2,1,1,
1],[3,1,2,1,3,1,2,-1,1,1,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,2,2,2,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,
1]],[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,3,
2,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,
3,-1,5,2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-1],[3,
1,2,2,1,1,2,-1,4,2,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1,4,2,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,2,1,3,2]]],[[[1,1,2,
1],[1,1,2,-1],[2,1,3,2,1,1,2,-1,3,-1,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,
1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[2,1,
1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,5,1,2,1,1,1,2,2,5,1],[6,1],[7,1,4,
1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[
6,1,7,2,2,1,7,-1,6,1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1],[1,1,2,1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[8,1,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,
2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[
1,1,2,-1,3,2,2,2,3,2]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,4,3,1,1,2,1,3,1]],[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,
2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,-2,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,-1,3,-1,2,-2]]],[[[2,1,1,1],[2,1,3,-1,2,
-1,1,1,3,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,
-1,5,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,3]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,1,6,-2,5,-1,7,2,5,1],[4,1,8,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,2,4,-1,5,2,4,-1,3,-2],[2,1,1,1],[1,1,2,1,7,-1,2,-1],[1,1,2,-1,8,2,7,
-1],[6,1,9,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[3,2,
2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[
1,1,2,-1,1,1,2,2,1,1,2,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,1,1,2,-2,3,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,
1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[2,1,
1,1],[3,1,2,1,3,1,2,-1,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,
2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,2,2,3,2,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,
1],[3,2,2,-2,1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,
3,2,2,1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-2,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[3,1,5,1,4,2,3,-1,5,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,
-1,5,1],[7,1],[8,1,4,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[
2,1,1,1],[2,2,1,1,2,1,6,-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[4,1,7,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[7,1],[8,1,
5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,4,2,3,-1,2,1,5,-2]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,3,1,4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,
5,1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,3,-1,4,1]],[[
1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,
2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,1]],[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,2,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,
3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1],[1,1,2,1],[2,-1,1,1,2,-1,10,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[15,1,9,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,
1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,
1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,
-2,15,-1,14,-2,2,-1],[16,1,13,1],[17,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,
1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[
15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,1],[10,1,17,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,1,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,6,1],[7,1],[8,1,4,1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,
1],[7,1,2,1,7,1,8,-1,7,1,2,1,8,2],[6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[8,1,2,-2,7,-1,2,1,8,1,7,1,8,
-1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,
1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,
1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,1,4,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,-1,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,1,1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,3]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,1,1,2,-2,3,1,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,
2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1,1,1,2,-1]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,2,3,-1,5,
-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,1,1,1],[1,1,2,-2,1,1,2,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,1,1,2,2,3,1,4,1]],[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1,1,1,2,-3,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,3,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,2,3,-2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,3,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,2,2,1,3,1,4,2,5,-1]],[[2,1,1,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,
2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,2,5,1,3,1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,
1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[2,1,1,1],[1,
1,2,-1,3,-1,2,-2,1,1,2,2,3,2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1,2,1,3,2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,3,
1],[2,1,1,1,4,-1,3,-1,4,1,3,1]],[[1,1,2,3],[2,1,1,1,3,2]],[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[
2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,3,1,
2,2,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
-1,4,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,
4,1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[5,1,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,2,1,6,1,7,-1,6,1,2,1,7,2],[5,1],[9,1,8,1,9,1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,
3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]],[[1,1,2,1],[
2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,
-1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,4,1,5,1,3,
1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,
-1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,3,1,4,2,5,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,
1,2,1,1,1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2,1,1],[3,1,
2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,
2,1],[2,2,1,1,3,-2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,
2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1,2,-1]],[[1,1,2,-2,1,1,2,
2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,2,1,6,1,7,-1,6,1,2,1,7,2],[8,1],[9,1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,
3,-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,1]],[[1,1,2,1],[2,2,3,1,2,1,
3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[3,
2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[3,
1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,
3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,
-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,2,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,
-2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,1,2,-1,3,-2,4,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,
1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,1,16,
1],[10,1,17,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,
1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,
4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[12,2,10,1,12,1,11,-2,10,-1],[1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,
14,-2,2,-1],[16,1,13,1],[17,1,9,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,
5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,-1,1,1,2,
-1,10,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[
15,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,1,
1,2,-1,4,-1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]],[[2,1,1,1],[2,2,3,
1,2,1,1,1,3,1,2,-1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,
3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,
1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,-1],[9,1,6,1],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[13,2,11,1,13,1,12,-2,11,-1],[2,1,1,1],[15,1,2,2,15,-1,2,-1,1,1,2,-1],[14,
1,16,1],[10,1,17,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[
1,1,2,1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,
10,1,12,1,11,-2,10,-1],[2,1,1,1],[2,-2,1,1,2,2],[15,1,13,-1],[9,1,16,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,1,2,-1,
7,2],[8,1,6,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[12,2,10,1,12,1,11,-2,10,-1],[
1,1,2,1],[2,1,1,1],[15,1,14,-1,2,-2,15,-1,14,-2,2,-1],[16,1,13,1],[17,1,9,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,-1,1,
1,2,-1,7,2],[8,1,6,-2],[1,1,2,1],[2,-1,1,1,2,-1,10,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,12,1,13,2,2,2,12,1,13,1],[14,1,11,1],[15,1,9,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,2,2,3,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,
-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,
3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,
1]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,1,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,2,2,4,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,
1],[1,1,2,-1],[4,2,3,1,4,1,1,1,2,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,-1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,
3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,
-1,4,2,5,1,3,-1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,1,1,1,2,-1,1,1,2,-1,4,
1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,2,1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[3,
1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,
-1,2,-1,4,-1]],[[2,1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,2,3,1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1,3,2,2,1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,2,3,-2]],[[1,1,2,1],[1,1,2,-1],[
2,1,3,1],[4,1,3,-1,5,-1,4,1,3,1,5,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,2,4,
1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[3,1,2,
3,1,1,3,2,2,-1,1,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,1,1,2,-1,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,4,2]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,2,
3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,5,1,4,1,2,
1,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,
4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,2,2,2,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-2,3,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,2,3,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,2,
2,2,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1]]],[[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,2,-2,3,-2,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
-2,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,
2,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,1,1,1,4,1,2,-2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[3,2,2,1],[1,1,2,-1,4,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[
3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,3,1,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,3,4,2,2,1,1,
1]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,2,3,1,4,3,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,2,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
3,1,5,-1,4,-2,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,-1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,2,2,1,4,2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,7,
-1,6,1,2,1,7,2],[5,1],[9,1,8,1,9,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,-1],[4,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,8,-1,
7,1,2,1,8,2],[6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,
-1],[1,1,2,1],[2,2,7,1,2,1,7,1,2,1,1,1],[8,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,1,3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,
1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[2,1,1,1],[3,
1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,
2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,1,2,1,3,1,
2,-1,1,1,2,1,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,4,
-2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,
4,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,2,2,1,4,1]],[[1,1,
2,1],[3,2,2,2,3,2,1,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,2,3,2]],[[1,1,2,-2,1,1,2,
2,1,1]],[[2,1,1,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,
2,3,1]],[[2,2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,4,1,2,1,4,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1,2,1,
1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,-1,4,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,-1,3,-1,4,1]]],[[[
1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,2,2,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,-2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,-2,2,
-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,
1],[2,2,1,1],[3,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,
2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,3,2,1,3,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,2,3,1,4,1]],[[1,1,2,1],[
3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[3,1,
2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,2,2,1,1,2,2,
3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[2,1,1,
1],[1,1,2,-3,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,
3,-1,4,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
3,2,2,1],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,
3,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,4,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,3,2,
2,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,3,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,-1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[2,1,1,1],[2,1,1,1,2,1,3,-1,2,
-2,3,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,2,3,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,
2,-2,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,
3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,2,4,2,3,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[
2,1,3,3,1,1,2,1,1,1]],[[2,-1,1,1,2,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]],[[2,1,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,
1],[3,1,2,2,1,1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[3,1,2,1,3,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,2,3,-2]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,4,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[2,1,1,1],[2,1,1,1,2,1,3,-1,2,-2,3,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,
-1,5,1,3,-1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,
3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[4,3,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
2,1,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,
2,1,3,1,4,1]]],[[[2,1,1,1],[1,1,2,2,3,-2,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,2,2,1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,
4,1,3,-1,4,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,1,3,1,4,-1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,
1,4,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[
1,1,2,1],[3,1,2,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,1]]],[[[1,
1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-2,3,1]],[[1,1,2,
-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,4,
1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,4,1,3,1,4,-1,2,-1]]],[[[1,1,2,
1],[2,1,3,1],[4,1,3,1,1,1,2,-1,4,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,
-2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,2,1,1,3,-3,2,-1]]],[[[1,1,2,-2,
1,1,2,2,1,1,2,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,2,
3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,-1,5,2,2,1,6,1],[4,1],[8,
1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[6,1,2,-2,5,-1,2,1,6,1,5,1,6,
-1],[4,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1],[1,1,2,
1],[2,1,1,1],[8,1,2,1,8,-1,7,2,2,1,8,1],[6,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,
-1],[5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2],[1,1,2,1],[
2,1,1,1],[7,1,2,-2,6,-1,2,1,7,1,6,1,7,-1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,1],[2,1,6,1,2,1,1,1,2,2,6,1],[5,1,7,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[2,1,1,1],[2,2,1,1,2,1,6,
-2,2,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1],[1,1,2,
1],[2,1,1,1],[6,1,7,2,2,1,7,-1,6,1],[5,1,8,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1],[1,1,2,1],[2,1,1,1],[5,1,6,2,2,1,6,-1,5,1],[7,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,
3,1]],[[2,1,1,1],[2,2,3,1,2,1,1,1,3,1,2,-1,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[
4,1,3,2,2,1,1,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[2,1,
1,1],[1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,1,1,
2,-1,4,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,3,-2,4,1,3,1,2,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[2,1,1,1],[1,
1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-2,1,1,2,2,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,
1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,
3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,
1,3,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-1,3,2,4,1,5,-1]],[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[1,1,2,-1],[4,1,2,1,1,1,2,-2,4,1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1],[5,1,4,-1,5,1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,
-2,3,1,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,
3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,
4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,3,2]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,1],[1,1,2,1,3,
-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-2,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,
3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,
1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1,1,
1,2,-3,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,
2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,
3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,1,1,2,-2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2]],[[2,
1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,4,2,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-2,
4,3,1,1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,
1,2,-1,3,2,2,2,1,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,
1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,4,-1,3,-2]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,-2,2,
-1]]],[[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[2,1,1,1],[2,2,3,1,2,1,1,1,3,1,2,-1,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,
1,2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,1,1,
2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,2,3,2,4,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-2,3,-1,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,
-2,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,
4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
4,1,5,1,3,1,4,1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,
1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,
-1,5,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,2,-2,
3,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,4,-1,3,1,4,1,2,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]]],[[[1,1,2,-3,1,1,2,3,1,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[2,1,1,1],[3,1,
2,1,3,1,2,-1,1,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
1,2,1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,2,1,3,2,5,-1,2,2,3,1,4,-1,5,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,3,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,4,-1,2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,-1,3,-2,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,-1,5,
1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,3,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,
-1,4,1,2,1,4,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,-1,3,-2,2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2],[1,1,2,-1,5,1,4,
2,5,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2,1,1],[3,1,2,-1,1,1,
3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,
1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[1,1,3,-1,
2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[3,2,2,
1,3,2,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,
3,2,2,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[3,2,2,2,3,2,1,1,2,
-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,
-2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,2,3,-1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,2,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,2,1,3,1,4,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,
5,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,-2,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,2,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,
2,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[5,1,4,2,5,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,4,1,
3,1,4,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,3,2,2,
1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,
4,2]],[[1,1,2,1],[1,1,2,-1,3,2,2,2,3,2]],[[1,1,2,1],[1,1,2,-1],[3,2,2,2,1,1,3,
-1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,
5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[2,1,1,1],[1,1,2,2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,
1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,
-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,-1,5,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1],[4,1,3,-1,5,-1,3,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,3,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,
1],[2,-1,1,1,2,-1,7,2],[8,1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,
1,4,-2,3,-1],[2,1,1,1],[2,-2,1,1,2,2],[8,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,3,1,5,1,4,-2,3,-1],[1,1,2,1],[2,1,1,1],[8,1,7,-1,2,-2,8,-1,7,-2,2,
-1],[9,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1],[2,1,1,
1],[7,1,2,2,7,-1,2,-1,1,1,2,-1],[6,1,8,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,2,2,2,5,1,6,1],[7,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,2,2,1,4,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,4,-1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,2,2,
1,4,1,3,-1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,2,1,1,1,2,-2,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,2,3,1]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[1,1,2,-1,4,2,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
-2,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1,1,1,2,
-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1],[4,1,5,1,3,-1,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,
-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[3,1,2,1,
3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,1,2,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,
1,4,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,-1,3,-2,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,3,3,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
1,2,1,4,2]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,
3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[
4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,
1]],[[1,1,2,1],[3,2,2,2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,
5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,2,2,1,4,1,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-2,3,1,
4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,2,3,1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,1,3,2,4,-2,3,1,2,-2]],[[1,1,2,1],[2,
1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,1,4,-1,3,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,
1,3,-1,5,1,3,-1,4,1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[4,1,5,1,3,1,4,1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,
3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,3,2,2,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,2,4,-1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,
-2,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1,3,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,
1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,3,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[1,1,
2,-1,3,2,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-3,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,1,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[
2,1,1,1],[3,2,4,1,2,1,4,2]],[[2,1,1,1],[3,1,2,3,1,1,3,2,2,-1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,2,3,2,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,2,3,-1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,
2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,2,1,1,3,-2,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,2,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,
3,1,4,1]],[[2,1,1,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-2,4,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,2,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,1,5,1,4,
-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,
4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-3,2,-1,3,-1]],[[1,1,2,1],[3,
1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,
3,2]]],[[[1,1,2,1],[2,2,3,1,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,-1,
3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,-1,1,1,2,
1,1,1]],[[1,1,2,1],[2,3,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,3,1,2,1,4,-1]],[[2,2,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1,2,-1,
3,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,1,2,-2,1,
1,2,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,2,2,2,1,1,2,-1]],[[
1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,2,1,1,
2,2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,
1,2,2,1,1,2,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,2,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[2,2,3,1,4,2,2,1,4,1,3,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[
1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,
1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-2]]],[[[
1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,2,1,3,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,-1,3,-2,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,2,
-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1,2,-1,1,1,2,2]],[[
1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,
-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-1,3,-2,2,1,3,2,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[
1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1,2,3,3,2]],[[1,1,
2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,
-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,4,-1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,
1],[3,1,4,2,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,1,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,2,1,
1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,
3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,-1,3,-1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
2,4,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,2]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-2,2,-1,3,-1]],[[
2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,3,1,
4,-1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2],[4,1,1,1,
2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,
1,2,1],[3,3,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,-1,4,
-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1,2,2,1,1,2,1]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1],[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],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,
2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,
4,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]],[[2,2,1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-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],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,
2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,-2,
1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,
1,1,1],[3,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,2,1,1,2,-2]],[[1,1,2,-1,1,
1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[1,1,2,1],[3,3,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,
3,1,4,1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,
2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,2,4,-1,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,
2]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]],[[1,1,2,-2,1,1,2,-1]]],[[[2,1,1,
1],[2,1,3,1],[4,2,3,1]],[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,
1,1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,
3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-3,2,-1,4,-1]],[[1,1,2,
1],[2,2,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
1,1,2,-2,3,1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,
2,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,2]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
4,2,3,-2]],[[1,1,2,-3,1,1,2,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,
1],[3,1,1,1,2,1,1,1,2,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,2,3,1,5,1,4,-2,3,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[
1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,2,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,2,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
2,1,1,1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,-1,3,-2,2,2,3,1,4,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,
-2,3,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,1,1,2,1,
3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[
2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,
2,-2,3,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,
1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,2,2,1,3,2,1,
1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,-1,
5,-1,3,1,5,1,4,1]],[[2,1,1,1],[3,1,2,2,1,1,2,-2,1,1,2,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-1,3,-3,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,
1,2,1],[3,2,2,1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,
1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1],[4,1,5,1,3,-1,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,1,2,-2,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[3,1,2,1,3,1,2,-1,1,1,3,2]],[[
1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,2,3,3,2,1,1,1]]],[[[
1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,
1,1,1,3,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,1,2,1,4,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,2]]],[[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,
-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[2,1,
1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[
3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[
3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,
2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,2,-1,3,-1]],[[1,1,
2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
-1,3,-2,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,
2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,2,1,3,2]],[[2,1,1,1,2,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,1,1,4,2,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,4,-1,3,
1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,2,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2],[4,1,5,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[3,2,2,2,3,
2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,2,2,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,2,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
1,2,1,4,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,
3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]]],[[[1,1,2,1],[3,1,1,1,
2,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,
1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,3,2,1,
1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1,2,2]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[2,2,3,1,2,1,3,
1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,2,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,3,-1,5,-1,3,1,5,1,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,4,2,2,-1,3,-1]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,2,3,1,
2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,
1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[2,1,1,1],[3,1,
1,1,2,1,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,
3,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,-3,1,1,
2,3,1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[
2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,
3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[3,1,
2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,2]],[[1,1,2,1],[3,1,2,2,1,
1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,2,1,4,-1]],[[1,1,
2,1],[1,1,3,-1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,
-1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,3,3,1,1,2,1,
1,1]]],[[[1,1,2,-2],[3,2,1,1,2,1]],[[1,1,2,1],[3,3,2,1,3,1]]],[[[1,1,2,1],[3,
2,2,2,3,2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,-2,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,3,3,2]]],[[[1,1,2,1],[1,1,3,-1,
2,1,1,1,2,1,3,2]],[[2,1,1,1,2,-1,1,1,2,3]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,
2]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,
1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,1,
2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[3,
1,2,1,3,1,2,2,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,1,
3,2,1,1,2,-1]],[[1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,
2,1,4,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,
-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,4,-1,2,-1]],[[1,1,2,-1],[3,1,
2,-1,1,1,2,-2,1,1,3,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,2]],[[1,1,2,1],[3,1,2,2,1,1,
2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[
3,1,2,2,1,1,3,-2,2,-1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1,1,1,2,
-1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,
4,2]],[[1,1,2,1],[1,1,2,-2,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,
3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,4,2,3,-2]]],[[[1,1,2,1],[2,1,3,1],[4,
1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,1,1,1],[2,1,3,
1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,2,1,1,2,-1,
1,1,2,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,
2,2]],[[2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,
1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,4,1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,3,1]],[[
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,-1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,
1,1,1],[2,1,1,1,2,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[1,
1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[
2,2],[3,1,1,1,2,2,1,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[
2,1,3,2,2,1,1,1,2,2]],[[1,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]],[[2,
1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1,2,2,1,1,
2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,2,3,
1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,1,1,2,-2,
3,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-2,3,1,4,-1]]],[[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,
1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,1,4,
1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,2,4,1]],[[2,1,1,1],[2,1,3,1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]],[[2,1,1,1,2,2,1,1,2,1]],[[
1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,1,3,-1,4,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,
1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,1,3,1]],[[2,2],[3,1,1,1,2,2,1,
1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,
1,3,-2,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[3,1,2,2,
3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,2,1,1],[3,1,2,-1,1,1,3,1]],[[2,1,1,1],[2,
2,1,1,2,1,3,-2,2,-1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[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]]],[[[1,1,2,1],[1,1,3,-1,2,
1,1,1,2,1,3,1]],[[2,1,1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,
3,-2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,
2,-1,3,-2]],[[2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,4,-1,3,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
-1]],[[2,1,1,1,2,1],[3,1,2,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,
4,1,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,1,4,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,
1,5,1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]],[[1,1,2,-3,1,1,2,3,
1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,3,-1,5,-1,3,1,5,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,2,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,2,3,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]],[[1,1,2,1],[2,2,3,1,
2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,
1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,2,
1,4,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,
2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,2,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[2,1,1,1],[2,1,3,-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],[3,1,2,1,3,1,2,1,1,
1,2,2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,1,1,2,-2,3,1]],[[2,1,1,1],[3,1,1,1,2,
1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,
1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-2]]],[[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,-1,1,1,2,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,
1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,2,2,1,1,3,-1]],[[2,1,1,1],[3,1,2,2,1,1,2,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,1,1,4,1]],[[1,1,2,1],[3,2],[2,1,
1,1,4,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,1,1,1],[1,1,2,-2,3,-2,2,
-2]]],[[[1,1,2,-3,1,1,2,1,1,1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[2,
1,1,1],[2,1,3,1,1,1,2,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,
2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,1,3,2,
1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,4,-1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1]],[[2,1,1,1],[2,2,
3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,2]],[[2,1,1,1,
2,2,1,1,2,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,-1,1,
1,2,1,3,1,2,2]],[[2,1,1,1],[2,2,3,1,2,1,3,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,1,2,1,4,2]],[[1,1,2,1],[2,2,3,1,2,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1,
2,-1,3,1,1,1,2,-2,3,1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,2,3,1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-2,3,-1]]],[[[
1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,
-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1,2,-1,1,1,2,2]]],[[[1,1,
2,1],[2,1,1,1,2,-1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
-1,3,1,1,1,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
2,4,2,3,-2]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]]],[[[2,1,1,1],[3,1,2,2,1,
1,2,2,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,
1,2,1,1,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,3,
1,2,1,1,1,2,-1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,-1]],[[2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,2]]],[[[2,
1,1,1],[2,2,3,2,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,
3,-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,-1,2,-1]],[[2,1,1,1],[
3,1,1,1,2,1,3,-1,2,-1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[1,1,2,1],[2,1,3,
1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,3,3,1,
1,2,1,1,1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,
2,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,
1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,
-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,1,3,-1,4,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-1,2,-1,3,-1]],[[1,1,2,
-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,3,-1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,4,-1,2,
-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,2]],[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,
1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[2,2,3,2,2,
1,3,1]],[[2,1,1,1,2,-3,1,1]]],[[[2,1,1,1],[2,2,3,1,2,1,3,1,2,-1,1,1]],[[2,1,1,
1,2,-3,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[2,1,1,1],[2,2,3,1,2,1,
3,1,2,-1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,
1,2,-1,3,1]],[[2,1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,
1,4,-1,2,-1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[2,1,
1,1],[2,2,3,1,2,1,3,1,2,-1,1,1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[2,1,1,1],[
2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1]],[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[2,1,1,1],[3,
1,2,-1,1,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[1,1,2,-3,1,1,2,
3,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,1,4,1]],[[2,1,1,1],[2,2,3,
1,2,1,3,1,2,-1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-2]],[[1,1,2,1],[3,1,
1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[1,
1,2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[2,2],[3,1,
1,1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,3,4]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,
1]],[[2,1,1,1,2,-1]],[[2,2],[3,1,1,1,2,-1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,3,
-1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-2,3,-1]]],[[[1,1,2,1],[
3,1,2,1,3,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,2,1,1,3,
-1,2,2,3,1]],[[2,1,1,1],[1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,
1]]],[[[1,1,2,1],[2,2,3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1]]],[[[2,2,1,
1,2,-1,1,1,2,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,1,2,1,3,1]],[[2,1,1,1]]],[[[2,1,1,1],[2,2,3,1,2,1,3,1,2,-1,1,1]],[[2,1,1,
1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,
-1,2,-2,3,-1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[2,1,1,1],[2,2,3,1,2,1,3,1,2,
-1,1,1]],[[2,1,1,1,2,-3,1,1]],[[1,1,2,1],[2,2,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,
1,1,2,-1,3,-1,2,-2,3,-1]],[[1,-1]],[[1,1,2,1],[2,1,3,4]]],[[[2,2],[3,1,1,1,2,
2,1,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[2,2,3,2,2,1,3,
1]],[[1,1,2,1,1,1,2,-3]],[[2,1,1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,
3,1]],[[1,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,
1,4,1,3,1,4,1]],[[2,1,1,1]]],[[[1,1,2,1],[2,1,3,4]],[[1,-1]],[[1,1,2,1,1,1,2,
-3]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,2,1,1,2,1]]],[[[2,2,1,1,2,-2,1,
1,2,1]],[[1,-1]]],[[[2,1,1,1],[3,2,2,2]],[[1,-1]],[[2,2,1,1,2,1]]],[[[2,2,1,1,
2,-1,1,1,2,-2]],[[1,-1]],[[1,1,2,1],[2,-1,3,1,2,2]]],[[[1,1,2,1],[2,-1,3,
2]],[[1,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "2xM12",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,3,4,9],[1,2,5,6,10],[1,5,
11],[1,4,12],[1,5,13],[1,5,14],[1,5,6,15],[1,5,16],[1,5,17],[1,5,18],[1,4,5,
19],[1,3,5,20],[1,3,4,21],[1,5,6,22],[1,3,4,6,23],[1,24],[1,2,7,25],[1,2,8,
26],[1,5,8,27],[1,6,8,28],[1,6,7,29],[1,6,7,30],[1,5,7,31],[1,5,7,32],[1,3,8,
33],[1,4,8,34],[1,4,8,35],[1,3,8,36],[1,5,7,37],[1,6,7,38],[1,5,11,18,39],[1,
4,5,11,19,40],[1,5,16,41],[1,3,5,11,20,42],[1,5,14,43],[1,2,5,6,10,11,15,44],[
1,4,5,12,19,45],[1,2,3,4,9,12,21,46],[1,5,13,14,47],[1,5,6,14,15,17,48],[1,4,
5,16,19,49],[1,3,5,14,20,50],[1,4,5,14,19,51],[1,5,6,11,15,22,52],[1,5,6,13,
15,16,53],[1,3,5,16,20,54],[1,2,5,6,10,13,14,55],[1,5,11,14,16,56],[1,5,11,13,
17,57],[1,5,16,17,58],[1,2,5,6,10,16,17,59],[1,5,6,15,18,22,60],[1,2,5,6,10,
18,22,61],[1,4,5,11,14,19,62],[1,5,14,63],[1,3,5,14,17,20,64],[1,5,16,18,65],[
1,3,5,11,17,20,66],[1,4,5,11,16,19,67],[1,4,5,6,15,17,19,68],[1,3,5,11,13,20,
69],[1,2,3,4,5,6,9,10,19,20,23,70],[1,4,5,14,16,19,71],[1,5,16,72],[1,3,4,5,6,
15,19,20,23,73],[1,3,4,5,13,19,20,74],[1,5,14,18,75],[1,5,14,76],[1,3,5,13,16,
20,77],[1,4,5,13,17,19,78],[1,4,5,6,13,15,19,79],[1,3,4,5,17,19,20,80],[1,3,5,
6,15,16,20,81],[1,5,16,82],[1,5,6,16,22,83],[1,3,4,5,19,20,21,84],[1,3,5,6,14,
15,20,85],[1,5,6,14,22,86],[1,3,4,6,12,21,23,87],[1,5,6,17,18,22,88],[1,5,6,
13,18,22,89],[1,7,90],[1,7,91],[1,7,8,92],[1,5,24,93],[1,4,24,94],[1,6,24,
95],[1,2,24,96],[1,3,24,97],[1,3,24,98],[1,4,24,99],[1,100],[1,4,8,12,34,
101],[1,2,5,6,8,10,26,27,28,102],[1,4,7,12,103],[1,5,7,18,104],[1,5,8,11,
105],[1,2,5,6,7,10,25,29,31,106],[1,2,5,6,7,10,25,30,32,107],[1,4,8,12,108],[
1,3,4,8,21,33,34,109],[1,3,5,8,20,27,33,36,110],[1,3,4,6,8,23,28,33,35,111],[
1,4,8,12,34,35,112],[1,3,4,8,21,34,36,113],[1,2,3,4,8,9,26,35,36,114],[1,3,4,
8,21,33,35,36,115],[1,3,4,8,21,33,35,36,116],[1,4,5,8,19,27,34,35,117],[1,3,4,
6,8,23,28,34,36,118],[1,2,3,4,8,9,26,33,34,119],[1,5,7,18,31,32,37,120],[1,5,
6,7,22,30,31,38,121],[1,2,5,6,7,10,25,37,38,122],[1,5,6,7,22,29,30,37,123],[1,
5,6,7,22,29,32,38,124],[1,2,3,4,5,6,9,10,11,15,19,20,23,40,42,44,70,73,125],[
1,2,5,6,10,11,15,18,22,39,44,52,60,61,126],[1,2,5,6,10,13,14,43,47,55,127],[1,
2,5,6,10,16,17,41,58,59,128],[1,5,11,14,16,56,129],[1,2,3,4,5,6,9,10,12,19,20,
21,23,45,46,70,84,87,130],[1,3,5,11,13,17,18,20,39,42,57,66,69,131],[1,3,5,6,
13,15,16,20,41,53,54,77,81,132],[1,3,5,6,11,14,15,16,20,22,42,52,56,81,85,
133],[1,4,5,11,14,16,19,43,51,56,62,71,134],[1,2,3,4,5,6,9,10,13,14,19,20,23,
50,51,55,70,74,135],[1,4,5,11,14,16,19,41,49,56,67,71,136],[1,4,5,6,13,15,16,
17,19,49,53,58,68,78,137],[1,5,11,14,16,56,72,138],[1,5,11,13,14,16,17,56,57,
139],[1,4,5,6,13,14,15,17,19,47,48,51,78,79,140],[1,5,11,14,16,18,39,56,65,75,
141],[1,5,11,14,16,56,76,142],[1,3,5,11,14,16,17,20,54,56,58,64,66,143],[1,3,
5,6,14,15,17,20,43,48,50,64,85,144],[1,2,5,6,10,11,13,14,15,16,17,44,48,53,55,
56,57,59,145],[1,2,3,4,5,6,9,10,16,17,19,20,23,49,54,59,70,80,146],[1,4,5,6,
11,13,15,17,19,22,40,52,57,68,79,147],[1,4,5,11,14,16,18,19,39,40,56,62,67,
148],[1,5,11,14,16,56,82,149],[1,3,5,11,13,14,16,20,47,50,56,69,77,150],[1,5,
6,11,14,15,16,22,52,56,83,86,151],[1,5,11,14,16,56,63,152],[1,3,5,14,18,20,50,
63,75,153],[1,3,4,5,11,13,16,19,20,21,42,54,67,69,74,77,84,154],[1,2,5,6,10,
13,14,55,63,76,155],[1,4,5,6,16,19,22,49,82,83,156],[1,3,4,5,6,13,15,16,19,20,
21,23,49,73,74,77,79,81,84,157],[1,4,5,16,18,19,49,65,72,158],[1,5,14,18,43,
75,76,159],[1,3,4,5,6,11,13,15,16,19,20,22,23,52,53,67,69,73,79,81,160],[1,2,
3,4,5,6,9,10,11,13,14,15,19,20,23,44,55,62,69,70,79,85,161],[1,5,6,14,15,17,
48,63,76,162],[1,3,4,5,11,13,14,17,19,20,47,57,62,64,69,74,78,163],[1,4,5,11,
12,14,16,19,40,45,49,51,62,67,71,164],[1,5,13,14,18,47,63,75,165],[1,3,4,5,6,
14,15,17,19,20,21,23,51,64,68,73,80,84,85,166],[1,3,4,5,11,13,17,19,20,21,40,
66,69,74,78,80,84,167],[1,3,4,5,6,13,14,15,16,19,20,47,53,71,74,77,79,85,
168],[1,5,6,14,15,17,18,22,48,60,75,86,88,169],[1,5,6,13,14,22,47,76,86,170],[
1,4,5,14,18,19,51,75,76,171],[1,3,4,5,6,12,13,15,17,19,20,23,45,68,73,74,78,
79,80,172],[1,5,6,14,22,43,63,86,173],[1,5,6,13,15,16,53,72,82,174],[1,3,4,5,
11,14,17,19,20,21,42,50,62,64,66,80,84,175],[1,3,4,5,6,14,15,16,17,19,20,48,
58,64,68,71,80,81,176],[1,5,16,17,18,58,65,82,177],[1,3,4,5,6,11,14,15,17,19,
20,22,23,48,52,62,66,68,73,85,178],[1,5,6,16,22,41,82,83,179],[1,5,6,16,17,22,
58,72,83,180],[1,2,3,4,5,6,9,10,11,15,16,17,19,20,23,44,59,66,67,68,70,81,
181],[1,3,4,5,11,13,16,17,19,20,57,58,66,67,77,78,80,182],[1,2,5,6,10,16,17,
59,72,82,183],[1,3,5,16,18,20,54,65,82,184],[1,5,16,18,41,65,72,185],[1,3,4,5,
6,14,15,16,19,20,21,23,50,54,71,73,81,84,85,186],[1,4,5,6,14,19,22,51,63,86,
187],[1,2,5,6,10,13,14,18,22,55,61,75,86,89,188],[1,3,5,6,16,20,22,54,72,83,
189],[1,2,3,4,5,6,9,10,13,14,16,17,19,20,23,55,59,64,70,71,77,78,190],[1,2,5,
6,10,16,17,18,22,59,61,65,83,88,191],[1,5,6,11,13,15,17,18,22,39,52,57,88,89,
192],[1,5,6,13,15,16,18,22,53,60,65,83,89,193],[1,3,5,6,14,20,22,50,76,86,
194],[1,2,7,25,91,195],[1,5,7,32,90,196],[1,6,7,29,91,197],[1,5,7,31,91,198],[
1,2,7,25,90,199],[1,6,7,30,90,200],[1,2,7,8,25,26,92,201],[1,6,7,30,38,91,
202],[1,5,7,31,37,90,203],[1,6,7,29,38,90,204],[1,5,7,32,37,91,205],[1,6,7,8,
28,38,92,206],[1,5,7,8,27,37,92,207],[1,3,4,6,23,24,94,95,98,208],[1,5,17,24,
93,209],[1,5,14,24,93,210],[1,5,13,24,93,211],[1,3,4,6,23,24,95,97,99,212],[1,
2,3,4,9,24,94,96,97,213],[1,2,3,4,9,24,96,98,99,214],[1,2,5,6,10,24,93,95,96,
215],[1,3,5,20,24,93,97,98,216],[1,5,16,24,93,217],[1,4,5,19,24,93,94,99,
218],[1,2,100,219],[1,2,3,4,8,9,12,21,26,33,34,46,101,109,119,220],[1,4,5,8,
12,19,27,34,35,45,101,112,117,221],[1,3,4,6,8,12,21,23,28,34,36,87,101,113,
118,222],[1,2,3,4,7,9,12,21,25,46,103,223],[1,5,7,16,18,32,65,104,224],[1,4,5,
8,11,14,19,35,62,105,225],[1,3,5,8,11,13,20,36,69,105,226],[1,5,6,7,17,18,22,
30,88,104,227],[1,5,7,14,37,43,228],[1,5,7,11,18,37,39,104,229],[1,5,7,16,37,
41,230],[1,2,5,6,8,10,11,15,26,44,105,231],[1,4,5,8,11,16,19,35,67,105,232],[
1,5,7,14,18,31,75,104,233],[1,3,5,8,11,17,20,36,66,105,234],[1,5,6,7,13,18,22,
29,89,104,235],[1,5,6,7,15,18,22,38,60,104,236],[1,2,5,6,7,10,18,22,25,61,104,
237],[1,4,5,8,11,19,34,40,105,238],[1,3,5,8,11,20,33,42,105,239],[1,2,3,4,8,9,
12,21,26,46,108,240],[1,4,5,7,12,19,37,45,103,241],[1,2,3,4,5,6,8,9,10,19,20,
23,26,27,28,33,34,35,36,70,102,110,111,114,117,118,119,242],[1,2,3,4,8,9,12,
21,26,33,34,35,36,46,112,113,114,115,116,119,243],[1,3,4,6,7,12,21,23,38,87,
103,244],[1,3,4,6,8,12,21,23,28,33,34,35,36,87,109,111,112,115,116,118,245],[
1,3,4,5,8,19,20,21,27,33,34,35,36,84,109,110,113,115,116,117,246],[1,2,5,6,7,
10,18,22,25,29,30,31,32,37,38,61,106,107,120,121,122,123,124,247],[1,7,8,90,
91,92,248],[1,2,5,6,10,11,13,14,15,16,17,44,48,53,55,56,57,59,129,139,145,
249],[1,4,5,11,14,16,18,19,39,40,56,62,65,67,75,129,141,148,250],[1,3,5,6,11,
14,15,16,20,22,42,52,56,81,83,85,86,129,133,151,251],[1,4,5,11,12,14,16,18,19,
39,40,41,43,45,49,51,56,62,67,71,134,136,148,164,252],[1,3,4,5,6,11,13,14,15,
16,19,20,21,22,23,41,42,47,49,50,52,53,54,56,67,69,71,73,74,77,79,81,84,85,
132,133,136,150,154,157,160,168,186,253],[1,4,5,6,11,13,14,15,16,17,18,19,22,
39,40,52,56,57,62,67,68,79,83,86,88,89,139,147,148,151,192,254],[1,3,5,11,13,
14,16,18,20,39,47,50,56,63,65,69,75,77,141,150,152,153,165,255],[1,4,5,11,14,
16,18,19,39,40,56,62,63,67,82,148,149,152,256],[1,2,3,4,5,6,9,10,11,13,14,15,
16,17,18,19,20,22,23,39,40,42,44,48,52,53,55,56,57,59,60,61,62,66,67,68,69,70,
73,79,81,85,125,126,131,133,145,147,148,160,161,178,181,257],[1,2,3,4,5,6,9,
10,11,13,14,15,16,17,19,20,23,43,44,47,48,50,51,53,55,56,57,59,62,64,69,70,71,
74,77,78,79,85,127,134,135,140,144,145,150,161,163,168,190,258],[1,3,5,6,11,
13,14,15,16,20,22,47,50,52,56,69,76,77,83,86,142,150,151,170,194,259],[1,2,3,
4,5,6,9,10,11,13,14,15,16,17,19,20,23,41,44,48,49,53,54,55,56,57,58,59,64,66,
67,68,70,71,77,78,80,81,128,132,136,137,143,145,146,176,181,182,190,260],[1,3,
5,11,14,16,17,18,20,39,54,56,58,64,65,66,75,82,141,143,149,177,184,261],[1,3,
5,6,11,13,14,15,16,17,18,20,22,39,42,52,56,57,65,66,69,75,81,85,88,89,131,133,
139,141,192,262],[1,4,5,6,11,14,15,16,19,22,43,51,52,56,62,63,71,83,86,134,
151,152,173,187,263],[1,3,5,11,14,16,17,20,54,56,58,63,64,66,129,143,152,
264],[1,3,4,5,11,13,14,16,17,18,19,20,21,39,40,42,47,50,54,56,57,58,62,64,66,
67,69,74,77,78,80,84,131,143,148,150,154,163,167,175,182,265],[1,3,5,11,13,14,
16,17,20,47,50,56,57,69,72,77,138,139,150,266],[1,3,5,6,11,14,15,16,17,20,22,
52,54,56,58,64,66,72,83,86,138,143,151,180,189,267],[1,4,5,11,14,16,18,19,39,
40,56,62,67,72,76,138,142,148,268],[1,4,5,11,14,16,19,43,51,56,62,71,72,129,
134,138,269],[1,4,5,11,13,14,16,17,19,43,51,56,57,62,71,82,134,139,149,270],[
1,2,5,6,10,11,13,14,15,16,17,18,22,39,44,48,52,53,55,56,57,59,60,61,65,75,83,
86,88,89,126,141,145,151,169,188,191,192,193,271],[1,3,4,5,6,11,14,15,16,17,
19,20,21,22,23,42,43,48,50,51,52,54,56,58,62,64,66,68,71,73,80,81,84,85,133,
134,143,144,166,175,176,178,186,272],[1,4,5,11,14,16,18,19,39,41,49,56,65,67,
71,72,75,136,138,141,158,185,273],[1,4,5,11,14,16,18,19,39,43,51,56,62,65,71,
75,76,134,141,142,159,171,274],[1,3,5,11,13,14,16,20,47,50,56,69,77,82,129,
149,150,275],[1,3,5,11,13,14,16,17,20,54,56,57,58,64,66,76,139,142,143,276],[
1,3,5,6,11,14,15,16,20,22,42,52,56,76,81,82,85,133,142,149,277],[1,2,5,6,10,
11,13,14,15,16,17,44,48,53,55,56,57,59,72,82,138,145,149,174,183,278],[1,4,5,
6,11,14,15,16,19,22,41,49,52,56,67,71,82,83,86,136,149,151,156,179,279],[1,3,
5,6,11,14,15,16,20,22,42,52,56,63,72,81,85,133,138,152,280],[1,2,5,6,10,11,13,
14,15,16,17,44,48,53,55,56,57,59,63,76,142,145,152,155,162,281],[1,4,5,11,13,
14,16,17,19,41,49,56,57,63,67,71,136,139,152,282],[1,4,5,11,14,16,19,41,49,56,
67,71,76,129,136,142,283],[1,2,5,6,10,13,14,18,22,43,47,55,61,63,75,76,86,89,
127,155,159,165,170,173,188,284],[1,4,5,6,13,15,16,17,18,19,22,49,53,58,60,65,
68,72,78,82,83,89,137,156,158,174,177,180,193,285],[1,4,5,6,13,14,15,17,18,19,
22,47,48,51,60,63,75,76,78,79,86,88,140,162,165,169,170,171,187,286],[1,2,3,4,
5,6,9,10,11,12,13,14,15,16,17,19,20,21,23,40,42,44,45,46,49,50,51,54,55,59,62,
64,66,67,68,69,70,71,73,74,77,78,79,80,81,84,85,87,125,130,135,146,154,157,
161,164,166,167,172,175,181,186,190,287],[1,3,5,6,13,15,16,18,20,22,41,53,54,
60,65,72,77,81,82,83,89,132,174,179,184,185,189,193,288],[1,3,5,6,14,15,17,18,
20,22,43,48,50,60,63,64,75,76,85,86,88,144,153,159,162,169,173,194,289],[1,2,
3,4,5,6,9,10,16,17,18,19,20,22,23,49,54,59,61,65,70,72,80,82,83,88,146,156,
158,183,184,189,191,290],[1,2,3,4,5,6,9,10,13,14,18,19,20,22,23,50,51,55,61,
63,70,74,75,76,86,89,135,153,155,171,187,188,194,291],[1,2,5,6,10,16,17,18,22,
41,58,59,61,65,72,82,83,88,128,177,179,180,183,185,191,292],[1,3,4,5,6,11,12,
13,14,15,16,17,19,20,21,22,23,40,45,47,48,49,51,52,53,57,58,62,64,66,67,68,69,
71,73,74,77,78,79,80,81,84,85,137,140,147,157,160,163,164,166,167,168,172,176,
178,182,293],[1,2,5,6,7,10,25,29,31,91,106,195,197,198,294],[1,2,5,6,7,10,25,
30,32,90,107,196,199,200,295],[1,5,7,16,32,90,196,296],[1,5,7,13,31,91,198,
297],[1,5,7,14,31,91,198,298],[1,5,7,17,32,90,196,299],[1,5,7,18,31,32,37,91,
120,198,205,300],[1,5,6,7,22,30,31,38,91,121,198,202,301],[1,4,7,8,12,34,92,
101,103,108,302],[1,5,7,18,31,32,37,90,120,196,203,303],[1,5,6,7,22,29,32,38,
90,124,196,204,304],[1,2,5,6,7,10,25,30,32,37,38,91,107,122,195,202,205,305],[
1,5,6,7,22,29,30,31,37,38,90,121,123,200,203,204,306],[1,5,6,7,22,29,30,32,37,
38,91,123,124,197,202,205,307],[1,2,5,6,7,10,25,29,31,37,38,90,106,122,199,
203,204,308],[1,2,5,6,7,8,10,25,26,27,28,37,38,92,102,122,201,206,207,309],[1,
2,3,4,5,6,9,10,19,20,23,24,70,93,94,95,96,97,98,99,208,212,213,214,215,216,
218,310],[1,4,5,13,17,19,24,78,93,94,99,209,211,218,311],[1,2,5,6,10,13,14,24,
55,93,95,96,210,211,215,312],[1,3,5,13,16,20,24,77,93,97,98,211,216,217,313],[
1,3,5,14,17,20,24,64,93,97,98,209,210,216,314],[1,4,5,14,16,19,24,71,93,94,99,
210,217,218,315],[1,2,5,6,10,16,17,24,59,93,95,96,209,215,217,316],[1,5,8,11,
14,16,56,105,129,317],[1,2,3,4,5,6,8,9,10,12,19,20,21,23,26,27,28,33,34,35,36,
45,46,70,84,87,101,102,109,110,111,112,113,114,115,116,117,118,119,130,220,
221,222,242,243,245,246,318],[1,2,5,6,7,10,13,14,25,37,38,43,47,55,122,127,
228,319],[1,2,5,6,7,10,13,14,18,22,25,29,31,55,61,75,86,89,104,106,188,233,
235,237,320],[1,5,6,7,11,13,15,17,18,22,29,30,37,39,52,57,88,89,104,123,192,
227,229,235,321],[1,2,5,6,7,10,11,15,18,22,25,37,38,39,44,52,60,61,104,122,
126,229,236,237,322],[1,5,6,7,13,15,16,18,22,29,32,38,53,60,65,83,89,104,124,
193,224,235,236,323],[1,5,7,16,18,31,32,37,41,65,72,120,185,230,324],[1,5,6,7,
14,15,17,18,22,30,31,38,48,60,75,86,88,104,121,169,227,233,236,325],[1,4,5,8,
11,12,14,16,19,34,35,40,45,49,51,62,67,71,105,112,164,225,232,238,326],[1,2,5,
6,7,10,16,17,18,22,25,30,32,59,61,65,83,88,104,107,191,224,227,237,327],[1,2,
3,4,5,6,8,9,10,11,13,14,15,19,20,23,26,35,36,44,55,62,69,70,79,85,105,114,161,
225,226,231,328],[1,2,3,4,5,6,8,9,10,11,15,19,20,23,26,33,34,40,42,44,70,73,
105,119,125,231,238,239,329],[1,2,5,6,7,10,16,17,25,37,38,41,58,59,122,128,
230,330],[1,5,7,11,14,16,18,31,32,37,39,56,65,75,104,120,141,224,229,233,
331],[1,3,4,5,8,11,14,17,19,20,21,33,35,36,42,50,62,64,66,80,84,105,116,175,
225,234,239,332],[1,2,3,4,5,6,8,9,10,11,15,16,17,19,20,23,26,35,36,44,59,66,
67,68,70,81,105,114,181,231,232,234,333],[1,3,4,5,8,11,13,16,19,20,21,33,35,
36,42,54,67,69,74,77,84,105,115,154,226,232,239,334],[1,5,7,14,18,31,32,37,43,
75,76,120,159,228,335],[1,5,6,7,14,22,29,30,37,43,63,86,123,173,228,336],[1,5,
6,7,16,22,29,30,37,41,82,83,123,179,230,337],[1,3,4,5,8,11,13,17,19,20,21,34,
36,40,66,69,74,78,80,84,105,113,167,226,234,238,338],[1,2,3,4,5,6,7,9,10,12,
19,20,21,23,25,37,38,45,46,70,84,87,103,122,130,223,241,244,339],[1,6,7,8,29,
38,90,91,92,197,204,248,340],[1,5,7,8,31,37,90,91,92,198,203,248,341],[1,6,7,
8,30,38,90,91,92,200,202,248,342],[1,6,7,8,28,29,30,38,90,91,92,202,204,206,
248,343],[1,2,7,8,25,26,90,91,92,195,199,201,248,344],[1,5,7,8,32,37,90,91,92,
196,205,248,345],[1,5,7,8,27,31,32,37,90,91,92,203,205,207,248,346],[1,24,100,
347],[1,5,8,11,24,27,93,105,348],[1,5,7,18,24,31,93,104,349],[1,5,7,18,24,32,
93,104,350],[1,4,8,12,24,35,94,108,351],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,
18,19,20,22,23,39,40,42,44,48,52,53,55,56,57,59,60,61,62,65,66,67,68,69,70,73,
75,79,81,83,85,86,88,89,125,126,129,131,133,139,141,145,147,148,151,160,161,
169,178,181,188,191,192,193,249,250,251,254,257,262,271,352],[1,2,3,4,5,6,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,64,66,67,68,69,70,71,73,74,77,78,79,80,81,
84,85,87,125,126,127,128,130,131,132,133,134,135,136,137,140,143,144,145,146,
147,148,150,154,157,160,161,163,164,166,167,168,172,175,176,178,181,182,186,
190,252,253,257,258,260,265,272,287,293,353],[1,2,3,4,5,6,9,10,11,13,14,15,16,
17,19,20,23,41,44,48,49,53,54,55,56,57,58,59,63,64,66,67,68,70,71,76,77,78,80,
81,128,129,132,136,137,139,142,143,145,146,152,155,162,176,181,182,190,249,
260,264,276,281,282,283,354],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,20,22,
23,39,40,42,44,48,52,53,55,56,57,59,60,61,62,63,66,67,68,69,70,72,73,76,79,81,
82,85,125,126,131,133,138,142,145,147,148,149,152,155,160,161,162,174,178,181,
183,256,257,268,277,278,280,281,355],[1,3,4,5,6,11,13,14,15,16,17,18,19,20,21,
22,23,39,42,43,48,50,51,52,54,56,57,58,62,64,65,66,68,69,71,73,75,76,80,81,82,
84,85,88,89,131,133,134,139,141,142,143,144,149,159,166,171,175,176,177,178,
184,186,192,261,262,270,272,274,276,277,356],[1,2,3,4,5,6,9,10,11,13,14,15,16,
17,18,19,20,22,23,39,41,44,48,49,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,
70,71,72,75,77,78,80,81,82,83,86,88,89,126,128,132,136,137,138,141,143,145,
146,149,151,156,158,169,174,176,177,179,180,181,182,183,184,185,188,189,190,
191,192,193,260,261,267,271,273,278,279,285,288,290,292,357],[1,3,4,5,6,11,13,
14,15,16,17,18,19,20,21,22,23,39,41,42,47,49,50,52,53,54,56,57,63,65,66,67,69,
71,72,73,74,75,77,79,81,84,85,88,89,131,132,133,136,138,139,141,150,152,153,
154,157,158,160,165,168,185,186,192,253,255,262,266,273,280,282,358],[1,2,3,4,
5,6,9,10,11,13,14,15,16,17,18,19,20,22,23,39,43,44,47,48,50,51,52,53,55,56,57,
59,60,61,62,63,64,65,69,70,71,74,75,76,77,78,79,83,85,86,88,89,126,127,134,
135,140,141,142,144,145,150,151,152,153,155,159,161,162,163,165,168,169,170,
171,173,187,188,190,191,192,193,194,255,258,259,263,271,274,281,284,286,289,
291,359],[1,3,4,5,11,13,14,16,17,18,19,20,21,39,40,42,47,50,54,56,57,58,62,63,
64,65,66,67,69,74,75,77,78,80,82,84,129,131,141,143,148,149,150,152,153,154,
163,165,167,175,177,182,184,250,255,256,261,264,265,275,360],[1,4,5,11,12,14,
16,18,19,39,40,41,43,45,49,51,56,62,65,67,71,72,75,76,129,134,136,138,141,142,
148,158,159,164,171,185,250,252,268,269,273,274,283,361],[1,3,4,5,6,11,13,14,
15,16,19,20,21,22,23,41,42,47,49,50,52,53,54,56,67,69,71,73,74,76,77,79,81,82,
83,84,85,86,129,132,133,136,142,149,150,151,154,156,157,160,168,170,179,186,
194,251,253,259,275,277,279,283,362],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,19,
20,23,43,44,47,48,50,51,53,55,56,57,59,62,64,69,70,71,72,74,77,78,79,82,85,
127,129,134,135,138,139,140,144,145,149,150,161,163,168,174,183,190,249,258,
266,269,270,275,278,363],[1,3,4,5,6,11,13,14,15,16,17,18,19,20,21,22,39,40,42,
47,50,52,54,56,57,58,62,64,66,67,68,69,72,74,76,77,78,79,80,83,84,86,88,89,
131,138,139,142,143,147,148,150,151,154,163,167,170,175,180,182,189,192,194,
254,259,265,266,267,268,276,364],[1,3,4,5,6,11,14,15,16,17,19,20,21,22,23,42,
43,48,50,51,52,54,56,58,62,63,64,66,68,71,72,73,80,81,83,84,85,86,129,133,134,
138,143,144,151,152,166,173,175,176,178,180,186,187,189,251,263,264,267,269,
272,280,365],[1,4,5,6,11,12,13,14,15,16,17,18,19,22,39,40,41,43,45,49,51,52,
56,57,62,63,67,68,71,79,82,83,86,88,89,134,136,139,147,148,149,151,152,156,
164,173,179,187,192,252,254,256,263,270,279,282,366],[1,5,7,14,31,43,91,198,
298,367],[1,5,7,16,32,41,90,196,296,368],[1,5,7,16,32,82,90,196,296,369],[1,2,
5,6,7,10,13,14,25,29,31,55,91,106,195,197,198,294,297,298,370],[1,5,6,7,14,22,
30,31,38,86,91,121,198,202,298,301,371],[1,5,7,13,14,31,47,91,198,297,298,
372],[1,5,7,14,18,31,32,37,75,91,120,198,205,298,300,373],[1,2,5,6,7,10,16,17,
25,30,32,59,90,107,196,199,200,295,296,299,374],[1,5,7,16,18,31,32,37,65,90,
120,196,203,296,303,375],[1,5,6,7,16,22,29,32,38,83,90,124,196,204,296,304,
376],[1,5,7,14,31,76,91,198,298,377],[1,5,7,14,31,63,91,198,298,378],[1,5,7,
16,32,72,90,196,296,379],[1,5,7,16,17,32,58,90,196,296,299,380],[1,5,6,7,17,
18,22,29,31,32,37,38,88,90,120,124,196,203,204,299,303,304,381],[1,2,5,6,7,10,
18,22,25,29,30,31,32,37,38,61,90,106,107,120,121,122,123,124,196,199,200,203,
204,247,295,303,304,306,308,382],[1,2,5,6,7,10,18,22,25,29,30,31,32,37,38,61,
91,106,107,120,121,122,123,124,195,197,198,202,205,247,294,300,301,305,307,
383],[1,2,3,4,7,8,9,12,21,25,26,33,34,46,92,101,103,108,109,119,201,220,223,
240,302,384],[1,5,6,7,13,18,22,30,31,32,37,38,89,91,120,121,198,202,205,297,
300,301,385],[1,4,5,7,8,12,19,27,34,35,37,45,92,101,103,108,112,117,207,221,
241,302,386],[1,3,4,6,7,8,12,21,23,28,34,36,38,87,92,101,103,108,113,118,206,
222,244,302,387],[1,2,3,4,5,6,9,10,13,14,16,17,19,20,23,24,55,59,64,70,71,77,
78,93,94,95,96,97,98,99,190,208,209,210,211,212,213,214,215,216,217,218,310,
311,312,313,314,315,316,388],[1,4,5,8,11,14,16,19,35,41,49,56,67,71,76,105,
129,136,142,232,283,317,389],[1,4,5,8,11,14,16,19,35,43,51,56,62,71,72,105,
129,134,138,225,269,317,390],[1,2,5,6,8,10,11,13,14,15,16,17,26,44,48,53,55,
56,57,59,105,129,139,145,231,249,317,391],[1,3,5,6,8,11,14,15,16,20,22,33,42,
52,56,81,83,85,86,105,129,133,151,239,251,317,392],[1,3,5,8,11,13,14,16,20,36,
47,50,56,69,77,82,105,129,149,150,226,275,317,393],[1,3,5,8,11,14,16,17,20,36,
54,56,58,63,64,66,105,129,143,152,234,264,317,394],[1,4,5,7,11,12,14,16,18,19,
37,39,40,41,43,45,49,51,56,62,67,71,103,104,134,136,148,164,228,229,230,241,
252,395],[1,4,5,8,11,14,16,18,19,34,39,40,56,62,65,67,75,105,129,141,148,238,
250,317,396],[1,2,5,6,7,10,16,17,18,22,25,29,30,31,32,37,38,41,58,59,61,65,72,
82,83,88,106,107,120,121,122,123,124,128,177,179,180,183,185,191,230,247,292,
324,330,337,397],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,33,
34,35,36,40,42,44,45,46,49,50,51,54,55,59,62,64,66,67,68,69,70,71,73,74,77,78,
79,80,81,84,85,87,105,112,113,114,115,116,119,125,130,135,146,154,157,161,164,
166,167,172,175,181,186,190,225,226,231,232,234,238,239,243,287,326,328,329,
332,333,334,338,398],[1,2,5,6,7,10,11,13,14,15,16,17,18,22,25,29,30,31,32,37,
38,39,44,48,52,53,55,56,57,59,60,61,65,75,83,86,88,89,104,106,107,120,121,122,
123,124,126,141,145,151,169,188,191,192,193,224,227,229,233,235,236,237,247,
271,320,321,322,323,325,327,331,399],[1,2,5,6,7,10,13,14,18,22,25,29,30,31,32,
37,38,43,47,55,61,63,75,76,86,89,106,107,120,121,122,123,124,127,155,159,165,
170,173,188,228,247,284,319,335,336,400],[1,2,5,6,7,8,10,25,26,27,28,29,30,31,
32,37,38,90,91,92,102,106,107,122,195,199,201,202,203,204,205,206,207,248,305,
308,309,343,344,346,401],[1,5,6,7,8,22,27,29,30,31,32,37,38,90,91,92,121,123,
124,197,200,202,203,204,205,207,248,306,307,340,342,346,402],[1,5,6,7,8,22,28,
29,30,31,37,38,90,91,92,121,123,198,200,202,203,204,206,248,301,306,341,342,
343,403],[1,5,7,8,18,27,31,32,37,90,91,92,120,196,198,203,205,207,248,300,303,
341,345,346,404],[1,2,5,6,7,8,10,25,26,29,31,37,38,90,91,92,106,122,195,197,
198,199,201,203,204,248,294,308,340,341,344,405],[1,2,5,6,7,8,10,25,26,30,32,
37,38,90,91,92,107,122,195,196,199,200,201,202,205,248,295,305,342,344,345,
406],[1,5,6,7,8,22,28,29,30,32,37,38,90,91,92,123,124,196,197,202,204,205,206,
248,304,307,340,343,345,407],[1,2,24,96,100,219,347,408],[1,3,5,8,11,13,20,24,
27,33,36,69,93,105,110,211,226,348,409],[1,4,5,8,11,14,19,24,27,34,35,62,93,
105,117,210,225,348,410],[1,3,5,8,11,20,24,27,33,36,42,93,97,98,105,110,216,
239,348,411],[1,3,5,8,11,17,20,24,27,33,36,66,93,105,110,209,234,348,412],[1,
2,5,6,8,10,11,15,24,26,27,28,44,93,95,96,102,105,215,231,348,413],[1,4,5,8,11,
19,24,27,34,35,40,93,94,99,105,117,218,238,348,414],[1,4,5,8,11,16,19,24,27,
34,35,67,93,105,117,217,232,348,415],[1,5,6,7,13,18,22,24,29,32,38,89,93,104,
124,211,235,350,416],[1,2,5,6,7,10,18,22,24,25,29,31,61,93,95,96,104,106,215,
237,349,417],[1,2,5,6,7,10,18,22,24,25,30,32,61,93,95,96,104,107,215,237,350,
418],[1,5,7,16,18,24,31,32,37,65,93,104,120,217,224,349,419],[1,5,6,7,17,18,
22,24,30,31,38,88,93,104,121,209,227,349,420],[1,5,7,14,18,24,31,32,37,75,93,
104,120,210,233,350,421],[1,2,3,4,8,9,12,21,24,26,35,36,46,94,96,97,108,114,
213,240,351,422],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,39,
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,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,125,
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,
183,184,185,186,187,188,189,190,191,192,193,194,249,250,251,252,253,254,255,
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,
352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,423],[1,2,5,6,7,
10,16,17,25,30,32,41,58,59,90,107,128,196,199,200,295,296,299,368,374,380,
424],[1,2,5,6,7,10,13,14,25,29,31,43,47,55,91,106,127,195,197,198,294,297,298,
367,370,372,425],[1,2,5,6,7,10,16,17,25,30,32,59,72,82,90,107,183,196,199,200,
295,296,299,369,374,379,426],[1,5,7,16,17,18,31,32,37,58,65,82,90,120,177,196,
203,296,299,303,369,375,380,427],[1,5,7,16,18,31,32,37,41,65,72,90,120,185,
196,203,296,303,368,375,379,428],[1,5,7,13,14,18,31,32,37,47,63,75,91,120,165,
198,205,297,298,300,372,373,378,429],[1,5,6,7,14,22,30,31,38,43,63,86,91,121,
173,198,202,298,301,367,371,378,430],[1,2,5,6,7,10,13,14,18,22,25,29,30,31,32,
37,38,55,61,75,86,89,91,106,107,120,121,122,123,124,188,195,197,198,202,205,
247,294,297,298,300,301,305,307,370,371,373,383,385,431],[1,2,5,6,7,10,13,14,
25,29,31,55,63,76,91,106,155,195,197,198,294,297,298,370,377,378,432],[1,5,7,
14,18,31,32,37,43,75,76,91,120,159,198,205,298,300,367,373,377,433],[1,2,5,6,
7,10,16,17,18,22,25,29,30,31,32,37,38,59,61,65,83,88,90,106,107,120,121,122,
123,124,191,196,199,200,203,204,247,295,296,299,303,304,306,308,374,375,376,
381,382,434],[1,5,6,7,16,22,29,32,38,41,82,83,90,124,179,196,204,296,304,368,
369,376,435],[1,5,6,7,16,17,22,29,32,38,58,72,83,90,124,180,196,204,296,299,
304,376,379,380,436],[1,5,6,7,13,14,22,30,31,38,47,76,86,91,121,170,198,202,
297,298,301,371,372,377,437],[1,2,3,4,5,6,7,8,9,10,12,19,20,21,23,25,26,27,28,
33,34,35,36,37,38,45,46,70,84,87,92,101,102,103,108,109,110,111,112,113,114,
115,116,117,118,119,122,130,201,206,207,220,221,222,223,240,241,242,243,244,
245,246,302,309,318,339,384,386,387,438],[1,4,5,7,11,12,14,16,18,19,31,32,37,
39,40,41,43,45,49,51,56,62,65,67,71,72,75,76,103,104,120,129,134,136,138,141,
142,148,158,159,164,171,185,224,228,229,230,233,241,250,252,268,269,273,274,
283,324,331,335,361,395,439],[1,4,5,8,11,12,14,16,18,19,34,35,39,40,41,43,45,
49,51,56,62,65,67,71,72,75,76,105,112,129,134,136,138,141,142,148,158,159,164,
171,185,225,232,238,250,252,268,269,273,274,283,317,326,361,389,390,396,440],[
1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,22,23,26,33,34,39,40,42,44,48,
52,53,55,56,57,59,60,61,62,65,66,67,68,69,70,73,75,79,81,83,85,86,88,89,105,
119,125,126,129,131,133,139,141,145,147,148,151,160,161,169,178,181,188,191,
192,193,231,238,239,249,250,251,254,257,262,271,317,329,352,391,392,396,441],[
1,3,4,5,8,11,13,14,16,17,18,19,20,21,34,36,39,40,42,47,50,54,56,57,58,62,63,
64,65,66,67,69,74,75,77,78,80,82,84,105,113,129,131,141,143,148,149,150,152,
153,154,163,165,167,175,177,182,184,226,234,238,250,255,256,261,264,265,275,
317,338,360,393,394,396,442],[1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,19,20,23,
26,35,36,41,44,48,49,53,54,55,56,57,58,59,63,64,66,67,68,70,71,76,77,78,80,81,
105,114,128,129,132,136,137,139,142,143,145,146,152,155,162,176,181,182,190,
231,232,234,249,260,264,276,281,282,283,317,333,354,389,391,394,443],[1,2,3,4,
5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,66,67,68,69,70,71,73,
74,77,78,79,80,81,84,85,87,103,104,122,125,126,127,128,130,131,132,133,134,
135,136,137,140,143,144,145,146,147,148,150,154,157,160,161,163,164,166,167,
168,172,175,176,178,181,182,186,190,223,228,229,230,236,237,241,244,252,253,
257,258,260,265,272,287,293,319,322,330,339,353,395,444],[1,3,4,5,6,8,11,14,
15,16,17,19,20,21,22,23,33,35,36,42,43,48,50,51,52,54,56,58,62,63,64,66,68,71,
72,73,80,81,83,84,85,86,105,116,129,133,134,138,143,144,151,152,166,173,175,
176,178,180,186,187,189,225,234,239,251,263,264,267,269,272,280,317,332,365,
390,392,394,445],[1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,19,20,23,26,35,36,43,
44,47,48,50,51,53,55,56,57,59,62,64,69,70,71,72,74,77,78,79,82,85,105,114,127,
129,134,135,138,139,140,144,145,149,150,161,163,168,174,183,190,225,226,231,
249,258,266,269,270,275,278,317,328,363,390,391,393,446],[1,4,5,6,7,11,12,13,
14,15,16,17,18,19,22,29,30,37,39,40,41,43,45,49,51,52,56,57,62,63,67,68,71,79,
82,83,86,88,89,103,104,123,134,136,139,147,148,149,151,152,156,164,173,179,
187,192,227,228,229,230,235,241,252,254,256,263,270,279,282,321,336,337,366,
395,447],[1,3,4,5,6,8,11,13,14,15,16,19,20,21,22,23,33,35,36,41,42,47,49,50,
52,53,54,56,67,69,71,73,74,76,77,79,81,82,83,84,85,86,105,115,129,132,133,136,
142,149,150,151,154,156,157,160,168,170,179,186,194,226,232,239,251,253,259,
275,277,279,283,317,334,362,389,392,393,448],[1,5,7,8,16,32,37,41,90,91,92,
196,205,230,248,296,345,368,449],[1,5,7,8,14,31,37,43,90,91,92,198,203,228,
248,298,341,367,450],[1,2,5,6,7,8,10,18,22,25,26,27,28,29,30,31,32,37,38,61,
90,91,92,102,106,107,120,121,122,123,124,195,196,197,198,199,200,201,202,203,
204,205,206,207,247,248,294,295,300,301,303,304,305,306,307,308,309,340,341,
342,343,344,345,346,382,383,401,402,403,404,405,406,407,451],[1,3,4,5,8,11,13,
17,19,20,21,24,27,33,34,35,36,40,66,69,74,78,80,84,93,94,99,105,109,110,113,
115,116,117,167,209,211,218,226,234,238,246,311,338,348,409,412,414,452],[1,2,
3,4,5,6,8,9,10,11,15,19,20,23,24,26,27,28,33,34,35,36,40,42,44,70,73,93,94,95,
96,97,98,99,102,105,110,111,114,117,118,119,125,208,212,213,214,215,216,218,
231,238,239,242,310,329,348,411,413,414,453],[1,3,4,5,8,11,14,17,19,20,21,24,
27,33,34,35,36,42,50,62,64,66,80,84,93,97,98,105,109,110,113,115,116,117,175,
209,210,216,225,234,239,246,314,332,348,410,411,412,454],[1,2,3,4,5,6,8,9,10,
11,13,14,15,19,20,23,24,26,27,28,33,34,35,36,44,55,62,69,70,79,85,93,95,96,
102,105,110,111,114,117,118,119,161,210,211,215,225,226,231,242,312,328,348,
409,410,413,455],[1,4,5,8,11,12,14,16,19,24,27,34,35,40,45,49,51,62,67,71,93,
94,99,101,105,112,117,164,210,217,218,221,225,232,238,315,326,348,410,414,415,
456],[1,3,4,5,8,11,13,16,19,20,21,24,27,33,34,35,36,42,54,67,69,74,77,84,93,
97,98,105,109,110,113,115,116,117,154,211,216,217,226,232,239,246,313,334,348,
409,411,415,457],[1,2,3,4,5,6,8,9,10,11,15,16,17,19,20,23,24,26,27,28,33,34,
35,36,44,59,66,67,68,70,81,93,95,96,102,105,110,111,114,117,118,119,181,209,
215,217,231,232,234,242,316,333,348,412,413,415,458],[1,2,5,6,7,10,16,17,18,
22,24,25,29,30,31,32,37,38,59,61,65,83,88,93,95,96,104,106,107,120,121,122,
123,124,191,209,215,217,224,227,237,247,316,327,349,417,419,420,459],[1,2,5,6,
7,10,13,14,18,22,24,25,29,30,31,32,37,38,55,61,75,86,89,93,95,96,104,106,107,
120,121,122,123,124,188,210,211,215,233,235,237,247,312,320,350,416,418,421,
460],[1,2,5,6,7,10,16,17,18,22,25,29,30,31,32,37,38,41,58,59,61,65,72,82,83,
88,90,106,107,120,121,122,123,124,128,177,179,180,183,185,191,196,199,200,203,
204,247,292,295,296,299,303,304,306,308,368,369,374,375,376,379,380,381,382,
424,426,427,428,434,435,436,461],[1,2,5,6,7,10,13,14,18,22,25,29,30,31,32,37,
38,43,47,55,61,63,75,76,86,89,91,106,107,120,121,122,123,124,127,155,159,165,
170,173,188,195,197,198,202,205,247,284,294,297,298,300,301,305,307,367,370,
371,372,373,377,378,383,385,425,429,430,431,432,433,437,462],[1,5,7,16,18,24,
32,65,90,93,104,196,224,296,350,463],[1,5,7,14,18,24,31,75,91,93,104,198,233,
298,349,464],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,33,
34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
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,
88,89,105,112,113,114,115,116,119,125,126,127,128,129,130,131,132,133,134,135,
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,
193,194,225,226,231,232,234,238,239,243,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,317,326,
328,329,332,333,334,338,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,389,390,391,392,393,394,396,398,423,440,441,442,443,445,446,448,465],[
1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,29,30,31,32,37,
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,
103,104,106,107,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
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,
192,193,194,223,224,227,228,229,230,233,235,236,237,241,244,247,249,250,251,
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,
290,291,292,293,319,320,321,322,323,324,325,327,330,331,335,336,337,339,352,
353,354,355,356,357,358,359,360,361,362,363,364,365,366,395,397,399,400,423,
439,444,447,466],[1,5,7,8,14,18,27,31,32,37,43,75,76,90,91,92,120,159,196,198,
203,205,207,228,248,298,300,303,335,341,345,346,367,373,377,404,433,450,467],[
1,5,6,7,8,16,22,28,29,30,32,37,38,41,82,83,90,91,92,123,124,179,196,197,202,
204,205,206,230,248,296,304,307,337,340,343,345,368,369,376,407,435,449,468],[
1,5,6,7,8,14,22,28,29,30,31,37,38,43,63,86,90,91,92,121,123,173,198,200,202,
203,204,206,228,248,298,301,306,336,341,342,343,367,371,378,403,430,450,469],[
1,2,5,6,7,8,10,16,17,25,26,30,32,37,38,41,58,59,90,91,92,107,122,128,195,196,
199,200,201,202,205,230,248,295,296,299,305,330,342,344,345,368,374,380,406,
424,449,470],[1,2,5,6,7,8,10,13,14,25,26,29,31,37,38,43,47,55,90,91,92,106,
122,127,195,197,198,199,201,203,204,228,248,294,297,298,308,319,340,341,344,
367,370,372,405,425,450,471],[1,5,7,8,16,18,27,31,32,37,41,65,72,90,91,92,120,
185,196,198,203,205,207,230,248,296,300,303,324,341,345,346,368,375,379,404,
428,449,472],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,23,24,26,27,28,
33,34,35,36,40,42,44,45,46,49,50,51,54,55,59,62,64,66,67,68,69,70,71,73,74,77,
78,79,80,81,84,85,87,93,94,95,96,97,98,99,101,102,105,109,110,111,112,113,114,
115,116,117,118,119,125,130,135,146,154,157,161,164,166,167,172,175,181,186,
190,208,209,210,211,212,213,214,215,216,217,218,220,221,222,225,226,231,232,
234,238,239,242,243,245,246,287,310,311,312,313,314,315,316,318,326,328,329,
332,333,334,338,348,388,398,409,410,411,412,413,414,415,452,453,454,455,456,
457,458,473],[1,4,8,12,24,34,35,94,100,108,112,347,351,474],[1,5,7,18,24,31,
32,37,93,100,104,120,347,349,350,475],[1,5,7,11,14,16,18,24,31,32,37,39,56,65,
75,90,93,104,120,141,196,203,210,224,229,233,296,303,331,350,375,421,463,
476],[1,5,6,7,13,15,16,18,22,24,29,32,38,53,60,65,83,89,90,93,104,124,193,196,
204,211,224,235,236,296,304,323,350,376,416,463,477],[1,5,7,16,18,24,32,41,65,
72,90,93,104,185,196,217,224,296,350,368,463,478],[1,5,7,13,14,18,24,31,47,63,
75,91,93,104,165,198,211,233,297,298,349,372,464,479],[1,5,7,16,17,18,24,32,
58,65,82,90,93,104,177,196,209,224,296,299,350,380,463,480],[1,4,5,7,16,18,19,
24,32,49,65,72,90,93,94,99,104,158,196,218,224,296,350,379,463,481],[1,2,5,6,
7,10,16,17,18,22,24,25,30,32,59,61,65,83,88,90,93,95,96,104,107,191,196,199,
200,215,224,227,237,295,296,299,327,350,374,418,463,482],[1,2,5,6,7,10,13,14,
18,22,24,25,29,31,55,61,75,86,89,91,93,95,96,104,106,188,195,197,198,215,233,
235,237,294,297,298,320,349,370,417,464,483],[1,3,5,7,14,18,20,24,31,50,63,75,
91,93,97,98,104,153,198,216,233,298,349,378,464,484],[1,5,7,11,14,16,18,24,31,
32,37,39,56,65,75,91,93,104,120,141,198,205,217,224,229,233,298,300,331,349,
373,419,464,485],[1,5,7,14,18,24,31,43,75,76,91,93,104,159,198,210,233,298,
349,367,464,486],[1,4,5,7,14,18,19,24,31,51,75,76,91,93,94,99,104,171,198,218,
233,298,349,377,464,487],[1,5,6,7,14,15,17,18,22,24,30,31,38,48,60,75,86,88,
91,93,104,121,169,198,202,209,227,233,236,298,301,325,349,371,420,464,488],[1,
3,5,7,16,18,20,24,32,54,65,82,90,93,97,98,104,184,196,216,224,296,350,369,463,
489],[1,2,5,6,7,8,10,16,17,18,22,25,26,27,28,29,30,31,32,37,38,41,58,59,61,65,
72,82,83,88,90,91,92,102,106,107,120,121,122,123,124,128,177,179,180,183,185,
191,195,196,197,198,199,200,201,202,203,204,205,206,207,230,247,248,292,294,
295,296,299,300,301,303,304,305,306,307,308,309,324,330,337,340,341,342,343,
344,345,346,368,369,374,375,376,379,380,381,382,383,397,401,402,403,404,405,
406,407,424,426,427,428,434,435,436,449,451,461,468,470,472,490],[1,2,5,6,7,8,
10,13,14,18,22,25,26,27,28,29,30,31,32,37,38,43,47,55,61,63,75,76,86,89,90,91,
92,102,106,107,120,121,122,123,124,127,155,159,165,170,173,188,195,196,197,
198,199,200,201,202,203,204,205,206,207,228,247,248,284,294,295,297,298,300,
301,303,304,305,306,307,308,309,319,335,336,340,341,342,343,344,345,346,367,
370,371,372,373,377,378,382,383,385,400,401,402,403,404,405,406,407,425,429,
430,431,432,433,437,450,451,462,467,469,471,491],[1,2,5,6,7,10,18,22,24,25,29,
30,31,32,37,38,61,93,95,96,100,104,106,107,120,121,122,123,124,215,219,237,
247,347,349,350,408,417,418,475,492],[1,2,3,4,8,9,12,21,24,26,33,34,35,36,46,
94,96,97,100,108,112,113,114,115,116,119,213,219,240,243,347,351,408,422,474,
493],[1,3,5,6,7,13,15,16,18,20,22,24,29,32,38,41,53,54,60,65,72,77,81,82,83,
89,90,93,97,98,104,124,132,174,179,184,185,189,193,196,204,211,216,217,224,
235,236,288,296,304,313,323,350,368,369,376,416,435,463,477,478,489,494],[1,2,
5,6,7,10,11,13,14,15,16,17,18,22,24,25,29,30,31,32,37,38,39,44,48,52,53,55,56,
57,59,60,61,65,75,83,86,88,89,90,93,95,96,104,106,107,120,121,122,123,124,126,
141,145,151,169,188,191,192,193,196,199,200,203,204,210,211,215,224,227,229,
233,235,236,237,247,271,295,296,299,303,304,306,308,312,320,321,322,323,325,
327,331,350,374,375,376,381,382,399,416,418,421,434,460,463,476,477,482,495],[
1,4,5,6,7,13,15,16,17,18,19,22,24,29,32,38,49,53,58,60,65,68,72,78,82,83,89,
90,93,94,99,104,124,137,156,158,174,177,180,193,196,204,209,211,218,224,235,
236,285,296,299,304,311,323,350,376,379,380,416,436,463,477,480,481,496],[1,3,
5,7,11,14,16,17,18,20,24,31,32,37,39,54,56,58,64,65,66,75,82,90,93,97,98,104,
120,141,143,149,177,184,196,203,209,210,216,224,229,233,261,296,299,303,314,
331,350,369,375,380,421,427,463,476,480,489,497],[1,2,3,4,5,6,7,9,10,16,17,18,
19,20,22,23,24,25,30,32,49,54,59,61,65,70,72,80,82,83,88,90,93,94,95,96,97,98,
99,104,107,146,156,158,183,184,189,191,196,199,200,208,212,213,214,215,216,
218,224,227,237,290,295,296,299,310,327,350,369,374,379,418,426,463,481,482,
489,498],[1,4,5,7,11,14,16,18,19,24,31,32,37,39,41,49,56,65,67,71,72,75,90,93,
94,99,104,120,136,138,141,158,185,196,203,210,217,218,224,229,233,273,296,303,
315,331,350,368,375,379,421,428,463,476,478,481,499],[1,2,5,6,7,10,16,17,18,
22,24,25,30,32,41,58,59,61,65,72,82,83,88,90,93,95,96,104,107,128,177,179,180,
183,185,191,196,199,200,209,215,217,224,227,237,292,295,296,299,316,327,350,
368,374,380,418,424,463,478,480,482,500],[1,3,5,7,11,13,14,16,18,20,24,31,32,
37,39,47,50,56,63,65,69,75,77,91,93,97,98,104,120,141,150,152,153,165,198,205,
211,216,217,224,229,233,255,297,298,300,313,331,349,372,373,378,419,429,464,
479,484,485,501],[1,2,5,6,7,10,13,14,18,22,24,25,29,31,43,47,55,61,63,75,76,
86,89,91,93,95,96,104,106,127,155,159,165,170,173,188,195,197,198,210,211,215,
233,235,237,284,294,297,298,312,320,349,367,370,372,417,425,464,479,483,486,
502],[1,4,5,6,7,13,14,15,17,18,19,22,24,30,31,38,47,48,51,60,63,75,76,78,79,
86,88,91,93,94,99,104,121,140,162,165,169,170,171,187,198,202,209,211,218,227,
233,236,286,297,298,301,311,325,349,371,372,377,420,437,464,479,487,488,503],[
1,3,5,6,7,14,15,17,18,20,22,24,30,31,38,43,48,50,60,63,64,75,76,85,86,88,91,
93,97,98,104,121,144,153,159,162,169,173,194,198,202,209,210,216,227,233,236,
289,298,301,314,325,349,367,371,378,420,430,464,484,486,488,504],[1,2,3,4,5,6,
7,9,10,13,14,18,19,20,22,23,24,25,29,31,50,51,55,61,63,70,74,75,76,86,89,91,
93,94,95,96,97,98,99,104,106,135,153,155,171,187,188,194,195,197,198,208,212,
213,214,215,216,218,233,235,237,291,294,297,298,310,320,349,370,377,378,417,
432,464,483,484,487,505],[1,4,5,7,11,14,16,18,19,24,31,32,37,39,43,51,56,62,
65,71,75,76,91,93,94,99,104,120,134,141,142,159,171,198,205,210,217,218,224,
229,233,274,298,300,315,331,349,367,373,377,419,433,464,485,486,487,506],[1,2,
5,6,7,10,11,13,14,15,16,17,18,22,24,25,29,30,31,32,37,38,39,44,48,52,53,55,56,
57,59,60,61,65,75,83,86,88,89,91,93,95,96,104,106,107,120,121,122,123,124,126,
141,145,151,169,188,191,192,193,195,197,198,202,205,209,215,217,224,227,229,
233,235,236,237,247,271,294,297,298,300,301,305,307,316,320,321,322,323,325,
327,331,349,370,371,373,383,385,399,417,419,420,431,459,464,483,485,488,507],[
1,2,3,4,5,6,7,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,29,30,31,32,37,38,
39,41,44,48,49,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,70,71,72,75,77,78,
80,81,82,83,86,88,89,90,93,94,95,96,97,98,99,104,106,107,120,121,122,123,124,
126,128,132,136,137,138,141,143,145,146,149,151,156,158,169,174,176,177,179,
180,181,182,183,184,185,188,189,190,191,192,193,196,199,200,203,204,208,209,
210,211,212,213,214,215,216,217,218,224,227,229,233,235,236,237,247,260,261,
267,271,273,278,279,285,288,290,292,295,296,299,303,304,306,308,310,311,312,
313,314,315,316,320,321,322,323,325,327,331,350,357,368,369,374,375,376,379,
380,381,382,388,399,416,418,421,424,426,427,428,434,435,436,460,461,463,476,
477,478,480,481,482,489,494,495,496,497,498,499,500,508],[1,2,3,4,5,6,7,9,10,
11,13,14,15,16,17,18,19,20,22,23,24,25,29,30,31,32,37,38,39,43,44,47,48,50,51,
52,53,55,56,57,59,60,61,62,63,64,65,69,70,71,74,75,76,77,78,79,83,85,86,88,89,
91,93,94,95,96,97,98,99,104,106,107,120,121,122,123,124,126,127,134,135,140,
141,142,144,145,150,151,152,153,155,159,161,162,163,165,168,169,170,171,173,
187,188,190,191,192,193,194,195,197,198,202,205,208,209,210,211,212,213,214,
215,216,217,218,224,227,229,233,235,236,237,247,255,258,259,263,271,274,281,
284,286,289,291,294,297,298,300,301,305,307,310,311,312,313,314,315,316,320,
321,322,323,325,327,331,349,359,367,370,371,372,373,377,378,383,385,388,399,
417,419,420,425,429,430,431,432,433,437,459,462,464,479,483,484,485,486,487,
488,501,502,503,504,505,506,507,509],[1,5,7,16,18,24,31,32,37,41,65,72,90,93,
100,104,120,185,196,203,217,224,230,296,303,324,347,349,350,368,375,379,419,
428,463,475,478,510],[1,5,7,14,18,24,31,32,37,43,75,76,91,93,100,104,120,159,
198,205,210,228,233,298,300,335,347,349,350,367,373,377,421,433,464,475,486,
511],[1,2,5,6,7,10,16,17,18,22,24,25,29,30,31,32,37,38,41,58,59,61,65,72,82,
83,88,90,93,95,96,100,104,106,107,120,121,122,123,124,128,177,179,180,183,185,
191,196,199,200,203,204,209,215,217,219,224,227,230,237,247,292,295,296,299,
303,304,306,308,316,324,327,330,337,347,349,350,368,369,374,375,376,379,380,
381,382,397,408,417,418,419,420,424,426,427,428,434,435,436,459,461,463,475,
478,480,482,492,500,510,512],[1,2,5,6,7,10,13,14,18,22,24,25,29,30,31,32,37,
38,43,47,55,61,63,75,76,86,89,91,93,95,96,100,104,106,107,120,121,122,123,124,
127,155,159,165,170,173,188,195,197,198,202,205,210,211,215,219,228,233,235,
237,247,284,294,297,298,300,301,305,307,312,319,320,335,336,347,349,350,367,
370,371,372,373,377,378,383,385,400,408,416,417,418,421,425,429,430,431,432,
433,437,460,462,464,475,479,483,486,492,502,511,513],[1,4,5,7,8,11,12,14,16,
18,19,24,27,31,32,34,35,37,39,40,41,43,45,49,51,56,62,65,67,71,72,75,76,90,91,
92,93,94,99,100,101,103,104,105,108,112,117,120,129,134,136,138,141,142,148,
158,159,164,171,185,196,198,203,205,207,210,217,218,221,224,225,228,229,230,
232,233,238,241,248,250,252,268,269,273,274,283,296,298,300,302,303,315,317,
324,326,331,335,341,345,346,347,348,349,350,351,361,367,368,373,375,377,379,
386,389,390,395,396,404,410,414,415,419,421,428,433,439,440,449,450,456,463,
464,467,472,474,475,476,478,481,485,486,487,499,506,510,511,514],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1,1,1],[1,1,1,1,1],[1,3,
1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,3,1],[1,2,1,1],[1,2,1,
1],[1,2,1,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,1,1,1],[1,7,3,4,1],[1,4,3,1,6,1],[1,1,3,1],[1,4,3,1,6,1],[1,
1,3,1],[1,1,3,3,3,1,3,1],[1,6,1,4,3,1],[1,1,3,3,3,1,3,1],[1,1,2,1,1],[1,1,2,1,
1,1,1],[1,4,1,1,2,1],[1,4,1,1,2,1],[1,4,1,1,2,1],[1,3,4,1,2,4,1],[1,1,2,1,1,1,
1],[1,4,1,1,2,1],[1,1,1,1,1,1,1,1],[1,3,1,1,1,1],[1,3,1,1,1,1],[1,1,1,2,1],[1,
1,1,1,1,1,1,1],[1,3,4,3,1,3,1],[1,1,3,3,3,1,3,1],[1,2,3,1,1,1,1],[1,1,1,1],[1,
2,1,1,1,1,1],[1,5,1,2,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,
2,3,1,1,1,1],[1,1,2,2,1,1,2,1,1,1,2,1],[1,2,1,1,1,1,1],[1,1,1,1],[1,2,2,1,2,1,
1,1,4,1],[1,2,2,1,1,1,1,1],[1,5,1,2,1],[1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,2,2,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1],[1,1,4,1,2,
1],[1,4,2,1,1,2,4,1],[1,2,1,2,1,1,1,1],[1,1,4,1,2,1],[1,3,3,1,1,3,3,1],[1,3,2,
1,1,1,1],[1,3,2,1,1,1,1],[1,4,1],[1,4,1],[1,1,3,1],[1,5,1,1],[1,5,1,1],[1,5,1,
1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,3,1,1,3,1],[1,1,3,3,1,3,1,
1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,
1,1,1,1],[1,3,4,1,1],[1,2,1,1,1,2,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,7,1,3,1,2,1],[1,6,1,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1,
1,1,1,1],[1,7,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,6,1,
3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,4,4,3,3,4,3,1,3,6,6,12,1,1,1,6,6,1],[1,1,
7,7,7,3,9,4,12,1,3,3,4,4,1],[1,1,1,1,1,3,3,1,3,3,1],[1,1,1,1,1,3,3,1,3,3,1],[
1,3,1,3,3,3,1],[1,1,6,6,1,1,6,1,4,3,3,12,6,1,4,3,3,4,1],[1,4,7,3,1,1,4,6,1,1,
1,2,2,1],[1,4,1,2,1,1,3,2,1,1,1,2,2,1],[1,4,3,4,1,1,2,1,6,4,1,1,1,2,2,1],[1,4,
3,1,3,1,2,1,1,1,2,2,1],[1,1,4,4,1,1,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,4,3,1,1,3,2,
1,1,1,2,2,1],[1,4,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,1,1,1,2,1],[1,3,1,2,1,1,2,
1,2,1],[1,4,1,2,2,1,1,1,2,1,1,1,2,2,1],[1,11,5,1,1,8,2,1,2,2,1],[1,3,1,1,1,1,
2,1],[1,4,3,1,1,1,2,2,1,1,1,2,2,1],[1,4,1,2,3,1,1,2,1,1,1,2,2,1],[1,1,3,3,3,1,
1,1,3,1,1,1,1,1,1,1,1,1,1],[1,1,4,4,1,1,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,4,3,4,1,
1,2,1,6,4,1,1,1,2,2,1],[1,4,7,3,1,1,4,6,1,1,1,2,2,1],[1,3,1,1,1,1,2,1],[1,4,3,
1,2,1,1,2,1,1,1,2,2,1],[1,3,8,1,1,4,1,8,2,1,2,2,1],[1,3,1,1,1,1,2,1],[1,4,5,1,
2,2,1,1,1,1],[1,6,2,3,1,1,1,1,7,4,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1],[1,
4,1,4,1,2,2,1,1,1,1],[1,4,4,1,2,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,5,1,2,2,1,
1,1,1],[1,5,3,2,1,1,1,1],[1,2,2,3,4,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,
3,3,2,3,1,1,1,3,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,2,2,3,1,2,1,1,
1,1,1,1,1,1,1,1,1,1],[1,8,3,1,4,1,1,8,1,1,1,1,1,1,1,1],[1,5,2,1,2,1,1,1,1],[1,
4,4,1,2,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,4,3,1,1,1,6,2,4,1,1,1,1,1,1,1,1],[
1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,6,1,5,1,2,6,1,2,1,1,2,1],[1,1,4,2,
1,2,1,1,1,1],[1,4,5,1,2,2,1,1,1,1],[1,2,6,1,2,4,1,1,1,3,1,4,1,1,1,1,1,1,1,1],[
1,1,4,3,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,6,2,3,1,1,1,1,7,4,1,1,1,1,1,1,1,
1],[1,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,5,1,2,2,1,1,1,1],[1,2,2,3,4,1,1,
2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,
2,3,3,2,3,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,2,3,1,1,1,2,1,1,1,1,1,1,1,1,1,
1],[1,1,1,1,1,1,1,1,1,1,1],[1,4,5,1,2,2,1,1,1,1],[1,5,3,2,1,1,1,1],[1,6,2,1,2,
1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,4,1,4,1,2,2,1,1,1,1],[1,1,5,5,5,1,1,2,6,1,2,
1,1,2,1],[1,4,1,4,1,2,2,1,1,1,1],[1,1,2,2,1,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,1,5,5,5,1,1,2,6,1,2,1,1,2,1],[1,7,4,3,1,2,1,4,4,1,1,1,2,2,1],[1,5,6,1,5,
1,2,6,1,2,1,1,2,1],[1,4,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,9,
4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,1,1,3,1,3,1,1],[1,3,
4,1,3,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[
1,3,1,3,1,3,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,
1],[1,5,1,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,5,5,
5,1,1,1,1,1],[1,6,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,6,5,5,1,1,1,1,1],[1,1,1,1],[
1,1,3,3,1,3,1,3,1,3,3,1,1,3,3,1],[1,12,3,1,10,9,1,3,3,3,1,3,3,1],[1,9,3,3,1,1,
9,9,1,3,3,3,1,3,3,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,9,4,3,4,4,3,1,1],[1,6,3,4,1,
3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,1,4,3,4,1,1],[
1,7,4,3,4,4,1,1,1],[1,1,4,3,4,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,6,3,4,1,3,3,4,
3,1,1],[1,9,4,3,4,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,
3,4,4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,
1,6,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,1,4,4,3,3,1,4,
3,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,7,7,1,7,3,9,1,1,1,2,2,3,1,1,2,1,
1,1,1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,5,7,3,1,3,7,9,1,2,1,2,1,3,1,2,1,1,1,1,1],[
1,8,4,3,1,3,6,10,1,2,1,1,2,3,1,2,1,1,1,1,1],[1,1,7,7,1,7,3,9,1,1,1,1,1,1,1,3,
1,1,1,1,1,1,1,1],[1,7,6,1,1,2,1],[1,1,3,3,3,1,3,3,3,3,3,1,3,3,3,3,3,3,1,3,3,
1],[1,4,15,7,3,3,12,6,3,1,3,6,6,6,6,1,3,3,1],[1,4,3,12,1,3,6,3,6,12,1,3,3,6,6,
6,6,1,3,3,1],[1,12,7,3,8,3,3,4,18,1,3,1,1,2,3,3,3,6,6,6,3,3,3,6,1],[1,8,4,3,4,
1,2,1,2,3,2,8,8,4,8,1,1,1,1,1,1,2,2,1,2,2,2,2,2,4,2,4,2,2,2,1,1,1,2,2,2,2,2,
1],[1,4,7,8,3,2,1,4,1,2,4,6,8,1,1,2,1,2,2,2,4,4,2,2,4,4,1,2,1,1,2,1],[1,4,11,
5,2,1,1,8,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,7,3,1,1,4,6,1,1,1,2,2,2,2,1,1,
1,1],[1,1,4,4,7,7,4,7,3,1,1,9,1,1,4,6,6,12,12,1,1,1,3,1,3,1,1,1,1,1,4,4,2,2,2,
2,2,6,6,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,4,3,3,4,3,1,3,3,3,1,1,2,2,4,1,1,
3,1,1,1,1,3,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,3,8,1,2,1,
4,1,2,8,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,3,3,4,3,1,1,1,3,3,3,2,2,4,1,1,
1,1,1,1,1,1,1,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,11,5,1,1,
2,8,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,11,4,5,2,1,2,1,2,8,6,4,2,1,1,1,2,2,
4,4,2,2,2,4,4,2,1,1,1,2,1],[1,4,3,8,1,3,4,1,2,8,1,1,2,1,2,2,2,2,2,1,1,1,2,2,
1],[1,4,3,1,3,3,2,2,1,3,1,2,2,2,1,1,1,1],[1,8,4,7,3,2,1,1,2,4,6,12,8,1,1,2,1,
1,1,1,2,1,2,2,4,2,4,2,2,2,2,2,2,1,1,1,2,2,2,2,2,1],[1,4,3,1,4,1,1,2,2,1,1,1,2,
2,2,2,1,1,1,1],[1,4,3,8,1,1,4,1,2,2,8,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,7,3,
1,1,4,6,1,1,1,2,2,2,2,1,1,1,1],[1,4,3,1,5,3,2,1,1,3,2,2,2,1,1,1,1],[1,4,3,1,2,
3,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,11,11,11,5,1,1,15,1,1,8,24,2,5,1,6,1,1,1,
1,1,8,8,2,2,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,8,4,3,4,1,3,2,1,2,2,8,8,4,8,1,1,2,
2,1,1,1,1,1,2,4,2,2,2,2,2,2,2,4,1,1,1,2,2,2,2,2,2,1],[1,4,11,5,1,3,8,2,2,1,1,
1,2,2,2,2,2,1,1,1,2,2,1],[1,4,11,5,3,1,8,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,
4,3,1,2,3,3,2,1,1,3,2,2,2,1,1,1,1],[1,4,3,1,2,1,1,4,2,1,1,2,1,2,2,2,1,1,1,1],[
1,4,3,4,1,1,2,1,6,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,3,1,1,1,3,1,1,1,1,1,1,1,1,
1,2,2,1,1,1,2,2,1],[1,4,3,8,1,1,4,3,2,8,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,3,
4,1,1,2,1,6,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,3,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,
1,1,1,2,2,1],[1,4,3,1,2,1,3,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,4,3,1,3,5,2,1,1,3,2,
2,2,1,1,1,1],[1,1,5,5,5,3,3,2,6,1,3,3,2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,5,6,1,
5,1,2,2,2,6,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,4,5,6,2,1,5,1,2,2,6,1,1,
1,2,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,8,8,3,3,8,3,1,4,1,1,3,1,1,8,8,12,16,1,
1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,8,1,6,2,1,1,1,2,1,3,1,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,4,5,6,1,5,3,2,2,6,1,1,1,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,4,5,
6,3,5,1,2,2,6,1,1,1,2,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,5,5,4,5,1,1,2,2,
2,6,4,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,5,5,4,5,1,1,2,2,2,6,4,1,
1,1,2,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,5,5,5,3,3,2,6,1,3,3,2,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,4,8,3,4,1,4,2,1,2,1,2,8,2,4,4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
1,1,2,2,1,3,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,
12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,
1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,15,4,9,12,2,6,1,6,1,2,1],[1,9,
6,4,9,2,12,6,1,6,1,2,1],[1,3,4,9,1,3,4,1,1,2,1],[1,15,4,9,2,12,6,1,6,1,2,1],[
1,9,6,4,9,2,12,6,1,6,1,2,1],[1,1,3,3,4,3,4,1,1,3,3,1,1,3,1,1,1,1],[1,3,12,4,9,
1,12,1,3,3,1,3,3,1,1,1,1],[1,3,12,4,9,12,1,1,3,3,1,3,3,1,1,1,1],[1,1,3,3,4,3,
4,1,1,3,3,1,1,3,1,1,1,1],[1,1,3,3,1,3,3,1,3,1,1,3,3,1,1,3,1,1,1,1],[1,1,6,6,5,
5,6,5,5,5,10,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,1,
1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,6,5,5,
5,5,1,5,1,1,1,1,1,1,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,
1,1,1,1,1],[1,3,16,1,3,3,3,4,1,1],[1,1,12,12,3,3,1,12,3,10,9,9,30,18,1,1,1,3,
3,3,3,3,10,9,9,12,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,1,1,1,4,1,3,
3,4,4,4,1,3,3,4,1,1,1],[1,1,9,9,4,9,3,3,4,12,4,4,4,3,4,3,3,6,1,4,3,1,1,1,1],[
1,7,12,4,3,3,6,3,4,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,7,7,4,7,3,9,4,12,4,
4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,9,10,4,3,9,3,4,12,4,4,4,3,4,3,3,6,1,4,3,1,1,1,
1],[1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,9,10,4,3,9,3,4,12,4,4,4,3,4,3,3,6,1,4,
3,1,1,1,1],[1,16,3,4,1,12,3,3,12,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,
9,3,3,4,12,4,4,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,1,6,6,3,3,4,6,3,1,3,3,3,3,3,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,4,4,3,3,4,4,3,1,3,6,6,12,4,4,4,1,1,1,6,
6,1,4,1,1,1,1,1],[1,1,1,1,4,1,3,3,4,4,4,1,3,3,4,1,1,1],[1,19,4,9,3,3,16,4,4,4,
4,3,6,6,1,4,3,1,1,1,1],[1,10,6,3,4,1,3,3,3,9,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,6,6,3,3,4,6,3,1,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
10,6,3,4,1,3,3,3,9,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,13,4,3,6,4,4,4,1,
3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,
1,1],[1,12,4,3,4,1,3,3,6,6,12,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,1,1,4,
6,1,4,3,3,12,6,4,4,4,1,4,3,3,4,1,4,1,1,1,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,1],[1,
9,7,6,12,9,1,1,2,1,3,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,1],[1,9,7,6,6,3,3,9,1,1,2,
3,3,6,1,1],[1,1,7,6,7,6,1,1,2,1,1,2,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,1],[1,9,7,
6,6,3,3,9,1,1,2,3,3,6,1,1],[1,11,1,1],[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],[1,1,4,4,15,15,4,15,7,3,
3,21,3,3,12,6,6,36,12,3,1,1,7,3,9,3,3,3,3,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,1,3,1,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,1,1,1,3,3,3,3,1],[1,1,12,12,7,7,
12,7,3,8,3,3,9,3,3,4,18,18,24,12,36,1,3,1,3,1,3,2,8,3,3,3,3,3,3,3,3,3,3,3,3,3,
4,4,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,8,3,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,1,4,4,3,3,4,3,1,
3,3,3,5,5,2,2,4,1,1,3,1,3,1,3,3,3,3,5,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,3,1,1,
3,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,7,7,4,7,3,1,1,9,1,1,4,6,6,12,12,1,
1,1,3,1,3,1,1,1,1,1,4,4,2,2,2,2,2,2,6,2,6,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,4,11,4,5,2,3,2,1,4,8,2,8,8,4,8,2,1,1,2,2,1,
1,1,1,2,1,2,4,2,6,2,4,2,2,2,2,2,2,2,2,4,4,4,2,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,4,4,11,11,4,11,5,1,1,15,3,3,8,2,2,24,4,2,1,5,1,1,6,
1,1,1,1,1,3,3,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,8,4,11,4,5,
4,1,2,3,2,8,2,8,8,4,8,2,1,1,1,1,1,1,2,2,1,2,2,2,4,2,6,2,2,2,2,2,4,2,4,2,2,4,4,
2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,11,11,4,11,5,
3,3,15,1,1,8,2,2,24,4,2,1,5,3,1,1,1,6,1,3,1,1,1,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,8,4,15,7,2,3,3,2,12,6,12,8,3,1,2,1,1,1,3,2,1,6,2,2,6,4,
6,4,2,6,2,2,2,2,2,1,2,3,1,3,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,12,15,
7,8,5,5,12,18,3,3,1,1,2,3,3,5,10,6,10,6,2,6,2,1,3,3,1,3,1,5,2,2,6,2,2,1,1,1,1,
1,1,1,1],[1,8,4,3,12,1,2,3,6,5,2,8,8,12,8,1,1,1,1,1,3,2,2,3,2,2,2,2,2,2,4,2,8,
2,6,2,6,6,1,2,3,1,1,1,1,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,4,3,
1,5,5,3,3,3,2,2,4,1,1,3,3,1,1,3,5,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,3,1,
1,3,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,4,7,8,3,4,1,4,1,4,4,6,12,8,8,1,1,2,
1,1,2,1,1,4,1,2,2,4,2,4,4,2,2,2,2,2,4,2,2,2,2,4,4,2,1,1,1,1,2,1,1,1,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,4,3,12,1,5,6,3,2,2,8,8,12,8,1,1,2,2,1,3,1,3,1,
2,2,4,2,2,2,2,2,2,6,6,2,8,6,1,3,1,1,1,2,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,12,7,8,3,8,2,3,4,3,2,4,18,8,1,3,1,1,2,3,3,2,3,2,6,2,6,4,6,4,2,2,2,4,4,3,
3,1,2,3,1,1,1,2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,
12,9,1,1,3,1],[1,9,4,9,12,9,1,1,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,
1,1,1],[1,9,12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,9,4,18,9,12,9,1,1,2,1,1],[
1,21,4,9,18,12,4,12,9,1,12,1,4,1,2,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,
1,1,1],[1,21,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,9,12,4,9,18,4,12,12,9,1,12,1,
4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,
1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,15,6,4,9,9,9,2,2,12,6,6,9,1,6,6,1,2,2,1,1,1,
1],[1,1,15,15,4,15,9,27,4,2,12,2,12,6,6,9,1,2,12,6,6,6,6,6,1,1,1,2,2,6,1,1,1,
2,2,1],[1,1,15,15,4,15,9,27,4,12,2,12,2,6,6,9,1,12,2,6,6,6,6,6,1,1,1,2,2,6,1,
1,1,2,2,1],[1,1,3,3,4,9,3,1,3,4,9,3,3,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,15,6,4,9,
9,9,2,12,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,12,3,4,9,10,9,1,3,3,12,3,4,1,1,2,3,3,
4,1,3,1,1],[1,9,3,3,4,9,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,6,6,5,5,
6,5,5,5,5,5,5,5,10,1,5,5,5,5,5,5,5,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,12,3,16,1,3,9,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,16,1,
9,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,1,3,3,16,3,1,3,3,3,3,3,16,1,3,3,3,3,
3,3,4,1,3,3,4,1,1,1],[1,4,3,12,16,1,3,6,3,6,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,
1],[1,12,3,16,1,6,3,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,3,16,1,3,3,6,6,
16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,12,7,16,3,8,3,3,4,18,16,1,3,1,1,2,3,3,3,6,
6,6,8,4,3,3,3,6,4,4,4,8,1,1],[1,4,15,16,7,3,3,12,6,16,3,1,3,6,6,6,6,4,1,3,3,4,
1,1,1],[1,1,13,13,4,13,3,3,6,18,4,4,4,4,4,4,4,1,3,3,6,3,3,3,3,6,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,16,16,3,3,4,16,3,1,12,3,3,3,3,3,12,12,36,24,
4,4,4,8,8,1,1,1,3,12,3,3,3,3,3,3,3,3,3,3,3,3,12,3,6,6,3,3,3,6,3,9,3,12,1,4,4,
8,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,
19,19,4,19,9,3,3,27,3,3,16,48,4,4,4,4,4,4,4,4,9,3,12,3,3,3,3,3,16,16,6,6,6,6,
12,12,1,4,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,
1,13,13,4,13,3,3,6,18,4,4,4,4,4,4,4,1,3,3,6,3,3,3,3,6,4,4,4,4,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,9,9,7,6,9,7,6,6,6,3,3,3,3,9,9,1,1,2,6,3,3,9,1,1,2,3,3,
3,3,6,6,1,3,3,6,1,1,1,1],[1,9,18,7,6,27,6,12,12,3,3,9,18,1,1,2,9,9,9,1,1,3,3,
3,3,6,1,3,3,1,1,1,1],[1,9,18,7,6,27,6,3,15,12,9,18,1,1,2,18,9,1,1,6,3,3,6,1,3,
3,1,1,1,1],[1,27,7,6,27,6,15,15,27,1,1,2,27,1,1,6,6,6,1,3,3,1,1,1,1],[1,1,9,9,
7,6,9,7,6,12,12,9,9,1,1,2,12,9,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,1,9,9,7,6,9,7,
6,12,12,9,9,1,1,2,12,9,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,9,18,7,6,27,6,15,3,12,
9,18,1,1,2,9,18,1,1,3,6,3,6,1,3,3,1,1,1,1],[1,1,11,11,1,1,1,1],[1,10,15,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,
6,5,1,1],[1,16,15,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,
5,6,5,1,1],[1,16,15,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,15,
5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,25,10,15,20,6,10,10,10,15,6,5,10,6,5,
1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,10,10,
10,15,6,5,10,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[
1,1,12,12,15,15,12,15,7,8,5,5,21,5,5,12,18,18,24,36,36,3,3,1,3,1,7,2,8,3,5,3,
3,3,9,5,3,5,5,5,3,5,12,12,10,2,6,6,10,10,10,10,18,6,2,18,6,6,2,6,6,10,6,10,2,
6,6,10,6,8,12,12,3,3,1,1,1,2,5,3,5,3,3,3,3,1,3,3,3,1,3,3,5,3,5,5,1,3,3,1,2,6,
2,2,6,2,2,10,10,2,6,6,2,6,6,6,6,2,2,6,2,2,6,6,2,10,2,2,10,6,2,2,2,6,2,6,2,6,6,
6,6,2,1,1,1,1,3,3,1,1,5,3,1,3,1,3,1,1,3,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,2,
2,2,6,2,2,2,2,2,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,9,4,9,27,27,4,12,12,
9,27,27,1,12,9,1,1,1,1,3,3,1,3,3,1],[1,1,9,9,4,9,27,27,4,12,12,9,27,27,1,12,9,
1,1,1,1,3,3,1,3,3,1],[1,1,9,9,4,9,9,9,4,12,12,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,
1],[1,21,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,21,4,27,18,4,12,
12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,21,4,18,9,18,12,4,12,9,9,9,1,12,9,1,4,2,1,
2,1,1,1,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,1,21,21,4,
21,9,9,18,54,4,12,4,12,4,12,12,9,18,9,9,18,1,12,4,12,12,12,12,12,9,1,1,1,4,4,
12,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,9,9,4,9,9,9,4,12,12,9,9,9,1,12,9,1,1,1,1,1,
1,1,1,1,1],[1,21,4,27,18,12,4,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,1,21,21,4,
21,9,9,18,54,4,4,12,4,12,12,12,9,18,9,9,18,1,4,12,12,12,12,12,12,9,1,1,1,4,4,
12,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,9,12,4,27,18,4,12,12,9,9,9,1,12,9,1,4,3,2,1,
1,1,1],[1,9,12,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,9,12,4,18,
9,18,4,12,12,9,9,9,1,12,9,1,4,2,1,2,1,1,1,1],[1,1,12,12,3,3,4,9,12,3,10,9,9,
30,18,4,9,1,1,3,3,3,3,12,12,3,10,9,9,12,4,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,12,3,
4,4,4,1,1,1,1,2,3,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,12,31,16,15,8,9,9,28,18,16,16,
16,7,3,1,1,2,3,3,9,18,18,18,6,6,18,6,8,4,16,3,3,3,3,9,3,9,6,6,6,6,6,4,4,4,4,4,
8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,28,15,16,7,24,9,9,12,42,16,32,3,7,3,3,6,9,9,9,
18,6,18,18,6,6,6,4,16,1,9,9,3,3,3,9,6,6,18,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,4,4,15,15,16,4,15,7,3,3,21,3,3,12,6,6,36,12,16,16,16,3,1,1,7,3,9,3,
3,3,3,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,16,1,3,1,3,3,3,3,3,3,3,3,6,
6,6,6,6,6,6,6,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,24,4,15,16,7,6,3,3,6,12,
6,36,24,16,32,3,1,6,3,3,3,3,6,3,6,6,6,6,12,6,12,6,6,6,6,6,6,6,4,16,1,6,3,3,3,
3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,12,3,3,16,
12,3,1,3,3,3,9,9,6,6,12,16,16,16,3,1,3,3,3,3,3,3,3,9,9,6,6,6,6,6,6,6,6,6,6,6,
6,4,16,3,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,12,12,7,7,16,12,7,3,8,3,3,9,3,3,4,18,18,24,12,36,16,16,16,1,3,1,3,1,3,2,8,
3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,8,8,4,16,3,
1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,4,4,
4,4,4,8,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,16,12,3,12,16,1,9,6,3,6,6,12,24,
12,24,16,16,16,1,3,6,6,3,3,3,3,3,6,6,12,6,6,6,6,6,6,6,6,6,12,6,4,16,1,3,3,3,3,
6,3,3,6,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,12,3,3,16,
12,3,1,9,9,3,3,3,6,6,12,16,16,16,3,1,9,3,3,3,3,9,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,4,16,3,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,12,7,24,16,3,8,6,3,12,3,6,4,18,24,16,16,16,1,3,1,1,2,3,3,6,3,6,6,6,6,12,6,
12,6,6,6,12,12,8,4,16,3,3,3,6,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,
4,4,3,1,1],[1,16,12,3,12,16,1,6,3,6,9,6,12,24,12,24,16,16,16,3,1,3,3,3,3,6,6,
3,6,6,6,6,6,6,12,6,12,6,6,6,6,6,4,16,1,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,16,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,
9,16,24,27,12,36,9,4,1,8,1,12,9,4,3,4,1,1],[1,1,27,27,7,6,27,27,81,7,6,6,6,15,
15,15,15,27,27,27,1,1,2,6,15,15,27,27,27,27,27,1,1,1,1,1,1,2,6,6,6,6,6,6,27,1,
1,1,3,3,3,3,6,6,6,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,20,16,15,10,5,15,
15,30,30,40,6,10,20,10,10,20,5,15,15,15,15,15,15,6,6,6,5,10,20,10,10,10,10,15,
6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,16,16,15,15,10,16,15,5,15,30,30,60,6,10,10,
10,10,10,10,10,5,5,5,30,30,6,6,6,6,6,6,6,10,5,10,10,10,10,10,10,5,6,6,6,6,6,6,
6,5,5,5,10,6,5,1,1,1,1,1],[1,26,10,15,10,5,15,15,15,45,40,6,10,20,10,10,20,5,
15,15,15,15,15,15,6,6,6,5,10,20,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[
1,1,10,10,15,15,10,10,15,5,15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,15,15,
15,15,15,15,6,6,6,10,5,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,
36,15,10,5,40,15,15,60,6,10,30,30,5,15,15,15,15,15,15,6,6,6,10,5,30,30,15,6,6,
6,10,5,5,5,6,5,1,1,1,1,1],[1,26,10,15,10,5,15,15,15,45,40,6,10,20,10,10,20,5,
15,15,15,15,15,15,6,6,6,5,10,20,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[
1,1,10,10,15,15,10,10,15,5,15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,15,15,
15,15,15,15,6,6,6,10,5,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,
1,25,25,10,25,15,15,20,60,6,10,10,10,10,10,10,10,15,20,15,15,30,6,6,6,5,10,10,
10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,25,25,10,25,15,15,20,60,
6,10,10,10,10,10,10,10,15,20,15,15,30,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,
5,5,10,6,5,1,1,1,1,1],[1,1,21,21,4,21,27,27,18,54,4,4,12,4,12,12,12,9,27,27,
18,9,9,9,9,18,1,4,12,12,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,9,1,3,3,2,2,4,
4,1,1,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,21,21,4,21,27,27,18,54,4,12,4,12,4,
12,12,9,27,27,18,9,9,9,9,18,1,12,4,12,12,12,12,12,9,9,9,9,9,9,9,1,1,1,4,4,12,
9,1,3,3,2,2,4,4,1,3,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,45,40,45,30,36,120,45,
10,36,30,10,30,10,12,1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,1,
28,28,15,15,16,28,15,7,24,9,9,21,9,9,12,42,42,72,36,84,16,16,16,32,32,3,7,3,7,
3,7,6,24,9,9,9,9,9,9,9,9,9,9,9,9,9,12,12,18,6,18,6,18,18,18,18,42,18,6,42,18,
6,6,18,18,18,18,18,6,6,18,18,6,24,12,12,4,16,16,32,16,16,16,7,3,3,3,1,6,9,9,9,
9,9,9,9,3,3,9,3,3,9,9,9,9,9,9,3,9,3,3,6,18,6,6,18,6,6,18,18,6,18,18,6,18,18,
18,6,6,6,18,6,6,18,18,6,18,6,6,18,18,6,6,6,18,6,6,6,18,6,6,6,6,4,4,4,4,4,4,4,
16,1,1,1,3,9,3,3,3,9,9,3,9,3,3,3,3,9,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,6,6,
6,18,6,6,6,6,6,18,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,
4,3,1,1,1,1,1,1,1,1],[1,1,12,12,31,31,16,12,31,15,8,9,9,45,9,9,28,18,18,24,84,
36,16,16,16,16,16,16,16,7,3,1,3,1,15,2,8,3,9,3,3,3,21,9,3,9,9,9,3,9,28,28,18,
6,6,18,18,18,18,18,18,6,6,18,6,18,6,6,6,18,6,18,6,18,6,18,18,8,36,36,8,4,16,
16,16,16,16,16,16,3,7,1,1,3,2,9,3,9,3,3,3,3,3,9,3,9,3,3,3,9,3,9,9,3,3,9,3,6,6,
6,6,6,6,6,18,18,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,18,6,6,6,6,6,6,18,6,6,
18,18,18,6,8,4,4,4,4,4,4,4,4,4,8,8,16,3,3,3,1,3,9,3,3,9,3,3,3,3,9,3,3,3,3,3,3,
3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,45,16,24,27,54,24,24,48,
72,9,27,27,4,1,8,72,27,4,1,24,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,9,36,
16,24,27,54,24,48,12,12,36,36,9,27,27,1,4,8,36,36,27,1,4,12,12,12,24,9,4,3,6,
12,9,4,4,4,1,3,3,4,3,1,1],[1,9,36,16,24,27,54,24,12,48,12,36,36,9,27,27,4,1,8,
36,36,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,1,9,9,16,24,9,
27,27,16,24,12,12,36,36,9,27,27,1,4,8,12,36,9,4,1,1,1,8,12,12,9,4,1,3,3,12,9,
4,4,4,1,3,3,4,1,1,1],[1,1,9,9,16,24,9,27,27,16,24,12,12,36,36,9,27,27,4,1,8,
12,36,9,1,1,1,4,8,12,12,9,4,1,3,3,12,9,4,4,4,1,3,3,4,1,1,1],[1,45,16,24,27,54,
24,48,24,72,9,27,27,1,4,8,72,27,1,4,12,24,24,9,4,3,12,6,9,4,4,4,1,3,3,4,3,1,
1],[1,1,36,36,15,15,10,36,15,5,40,15,15,15,15,15,60,60,120,120,6,10,10,10,30,
30,30,30,5,5,5,15,40,15,15,15,15,15,15,15,15,15,15,15,15,60,15,30,30,15,15,15,
30,15,45,15,60,6,6,6,6,6,6,6,10,10,5,30,30,30,30,30,30,30,30,30,30,30,5,15,15,
15,15,15,15,15,15,15,15,15,15,15,15,6,6,6,6,6,6,6,6,6,6,6,10,10,10,5,5,5,5,5,
5,5,30,30,30,30,15,6,6,6,6,6,6,6,10,5,5,5,5,5,5,5,1,6,5,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,55,55,55,66,55,110,66,12,55,55,12,22,1],[1,55,55,55,66,55,55,55,
66,12,55,55,12,11,11,1],[1,75,40,45,45,45,120,36,40,120,120,30,45,90,90,10,36,
30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,30,40,45,45,45,30,90,
36,40,120,120,45,30,45,45,90,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,
12,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,1],[1,
45,40,90,45,30,36,120,45,45,45,10,36,30,45,10,36,30,20,10,12,10,1,1],[1,45,40,
45,90,30,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,36,45,40,45,
30,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,1,45,45,40,
45,45,45,30,90,36,40,120,120,45,30,45,45,90,10,36,36,36,30,120,45,10,10,10,36,
30,30,30,10,10,10,30,12,10,12,1,1],[1,1,45,45,40,45,45,45,30,90,36,40,120,120,
45,30,45,45,90,10,36,36,36,30,120,45,10,10,10,36,30,30,30,10,10,10,30,12,10,
12,1,1],[1,36,45,40,45,30,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,
10,1,1],[1,75,40,45,45,45,120,36,120,40,120,30,45,90,90,10,36,30,120,45,10,40,
36,30,30,30,10,20,30,12,10,12,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,
45,10,36,30,30,12,10,1,1],[1,36,45,40,45,30,90,36,120,45,45,45,10,36,36,36,30,
45,10,36,30,10,12,10,1,1],[1,45,30,40,45,45,45,30,90,36,40,120,120,45,30,45,
45,90,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,36,45,40,45,
30,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,1,45,45,16,
24,45,27,27,54,162,16,24,24,24,48,24,48,24,72,72,9,27,27,54,27,27,27,27,54,1,
4,8,24,48,24,72,72,72,72,72,9,27,27,27,27,27,27,4,1,4,4,1,1,8,24,12,12,24,24,
24,9,72,4,27,4,1,3,3,12,12,6,6,24,12,24,12,24,9,9,9,4,4,4,4,4,4,4,1,3,3,3,3,3,
3,6,6,12,9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,45,45,16,24,45,27,
27,54,162,16,24,24,24,24,48,24,48,72,72,9,27,27,54,27,27,27,27,54,4,1,8,24,24,
48,72,72,72,72,72,9,27,27,27,27,27,27,1,4,1,1,4,4,8,12,24,24,12,24,24,9,72,4,
27,1,4,3,3,6,6,12,12,12,24,12,24,24,9,9,9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,12,6,6,
9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,55,55,55,55,55,165,66,55,55,
55,55,55,55,55,55,66,66,66,12,55,55,55,55,55,55,55,55,66,12,55,55,12,11,11,12,
11,11,1,1],[1,1,55,55,55,55,55,165,66,55,55,55,110,110,55,66,66,66,12,55,55,
55,110,55,55,55,66,12,55,55,12,22,12,22,1,1],[1,36,45,30,40,45,45,135,30,90,
90,36,40,120,120,45,45,45,30,45,45,90,90,45,45,90,10,36,36,36,30,120,45,45,45,
45,45,45,45,10,40,36,36,36,30,30,30,45,30,20,36,30,12,10,10,10,12,10,1,1,1,1,
1],[1,1,75,75,40,75,45,45,45,135,45,45,120,360,36,40,40,120,40,120,120,120,30,
45,45,90,45,45,45,45,45,120,120,90,90,90,90,180,180,10,36,36,36,30,40,120,120,
120,120,120,120,30,45,45,45,90,90,90,90,90,10,10,10,40,40,36,36,36,30,30,30,
30,30,30,30,120,45,10,10,10,20,20,40,40,36,30,30,30,30,30,30,30,12,10,10,10,
20,20,30,12,12,12,10,12,1,1,1,1,1],[1,36,45,30,40,45,45,45,90,30,90,90,36,40,
120,120,45,45,45,30,45,90,45,90,45,45,90,10,36,36,36,30,120,45,45,45,45,45,45,
45,10,40,36,36,36,30,30,30,45,10,20,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,
36,75,40,45,45,45,90,120,90,36,40,120,120,30,45,45,45,90,90,90,90,90,10,36,36,
36,30,120,45,45,45,90,90,10,40,36,36,36,30,30,30,45,10,20,20,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,1,36,36,45,45,40,36,45,45,45,30,90,90,90,180,36,40,120,
120,45,45,45,30,45,90,45,90,45,45,90,10,36,36,36,36,36,36,36,30,120,45,45,45,
45,45,45,45,10,10,10,36,36,36,36,36,36,36,30,30,30,45,10,10,10,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,36,75,40,45,45,135,120,90,36,40,120,120,30,45,45,45,90,
90,90,90,90,10,36,36,36,30,120,45,45,45,90,90,10,40,36,36,36,30,30,30,45,30,
20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,1,45,45,40,45,135,135,30,90,36,40,
120,120,45,135,135,30,45,45,45,45,90,10,36,36,36,30,120,45,45,45,45,45,45,45,
10,10,10,36,36,36,30,30,30,45,10,30,30,36,30,12,10,30,30,12,10,1,1,1,1,1],[1,
36,75,40,45,90,45,45,120,90,36,120,40,120,30,45,45,45,90,90,90,90,90,10,36,36,
36,30,120,45,45,45,90,90,10,40,36,36,36,30,30,30,45,20,10,20,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,1,45,45,40,45,135,135,30,90,36,40,120,120,45,135,135,
30,45,45,45,45,90,10,36,36,36,30,120,45,45,45,45,45,45,45,10,10,10,36,36,36,
30,30,30,45,10,30,30,36,30,12,10,30,30,12,10,1,1,1,1,1],[1,36,45,30,40,90,45,
45,45,30,90,90,36,40,120,120,45,45,45,30,45,45,45,90,90,45,90,10,36,36,36,30,
120,45,45,45,45,45,45,45,10,40,36,36,36,30,30,30,45,20,10,20,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,36,45,30,40,135,45,45,30,90,90,36,40,120,120,45,45,45,
30,45,90,45,45,90,45,90,10,36,36,36,30,120,45,45,45,45,45,45,45,10,40,36,36,
36,30,30,30,45,30,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,1,36,36,45,45,40,
36,45,45,45,30,90,90,90,180,36,40,120,120,45,45,45,30,45,90,90,45,45,45,90,10,
36,36,36,36,36,36,36,30,120,45,45,45,45,45,45,45,10,10,10,36,36,36,36,36,36,
36,30,30,30,45,10,10,10,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,36,75,40,45,135,
45,120,90,36,120,40,120,30,45,45,45,90,90,90,90,90,10,36,36,36,30,120,45,45,
45,90,90,10,40,36,36,36,30,30,30,45,30,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[
1,1,75,75,40,75,45,45,45,135,45,45,120,360,36,40,120,40,120,40,120,120,30,45,
45,90,45,45,45,45,45,120,120,90,90,90,90,180,180,10,36,36,36,30,120,40,120,
120,120,120,120,30,45,45,45,90,90,90,90,90,10,10,10,40,40,36,36,36,30,30,30,
30,30,30,30,120,45,10,10,10,20,20,40,40,36,30,30,30,30,30,30,30,12,10,10,10,
20,20,30,12,12,12,10,12,1,1,1,1,1],[1,1,36,36,75,75,40,36,75,45,45,45,135,135,
135,120,90,90,360,180,36,40,40,120,40,120,120,120,30,45,45,45,45,90,45,45,45,
45,45,135,135,120,120,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,
10,36,36,36,36,36,36,36,30,40,120,120,120,120,120,120,30,45,45,45,45,45,45,45,
45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,10,10,10,
40,40,36,36,36,36,36,36,36,36,36,36,36,30,30,30,30,30,30,30,120,45,45,45,45,
45,45,45,90,90,90,90,10,30,30,20,20,40,40,36,36,36,36,36,36,36,30,30,30,30,30,
30,30,12,45,10,10,30,10,10,10,30,20,20,36,30,12,12,12,10,10,10,10,10,10,10,12,
10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,36,36,75,75,40,36,75,45,135,135,135,
45,45,120,90,90,360,180,36,40,120,40,120,40,120,120,30,45,45,135,45,45,45,90,
45,135,45,45,45,120,120,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,
180,10,36,36,36,36,36,36,36,30,120,40,120,120,120,120,120,30,45,45,45,45,45,
45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,10,
10,10,40,40,36,36,36,36,36,36,36,36,36,36,36,30,30,30,30,30,30,30,120,45,45,
45,45,45,45,45,90,90,90,90,10,30,30,20,20,40,40,36,36,36,36,36,36,36,30,30,30,
30,30,30,30,12,45,10,30,10,30,10,10,10,20,20,36,30,12,12,12,10,10,10,10,10,10,
10,12,10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,165,220,495,330,396,220,660,660,
165,495,495,55,396,144,330,660,495,55,220,396,330,165,165,110,165,144,66,132,
55,55,55,66,55,11,12,11,1],[1,165,220,495,330,396,660,220,660,165,495,495,55,
396,144,330,660,495,55,220,396,165,330,165,110,165,144,132,66,55,55,55,66,55,
11,12,11,1],[1,1,165,165,220,165,495,495,330,990,396,220,220,660,220,660,660,
660,165,495,495,330,495,495,495,495,990,55,396,396,396,144,330,220,660,660,
660,660,660,660,165,495,495,495,495,495,495,55,55,55,220,220,396,396,396,144,
330,330,165,330,660,495,55,165,165,110,110,220,220,396,165,330,165,165,144,66,
132,55,55,165,55,55,55,165,110,110,165,144,66,132,66,66,55,55,55,55,55,55,55,
66,55,11,12,11,11,11,12,11,1,1],[1,1,165,165,220,165,495,495,330,990,396,220,
660,220,660,220,660,660,165,495,495,330,495,495,495,495,990,55,396,396,396,
144,330,660,220,660,660,660,660,660,165,495,495,495,495,495,495,55,55,55,220,
220,396,396,396,144,165,330,330,330,660,495,55,165,165,110,110,220,220,396,
165,330,165,165,144,132,66,55,165,55,165,55,55,55,110,110,165,144,66,132,66,
66,55,55,55,55,55,55,55,66,55,11,12,11,11,11,12,11,1,1],[1,396,495,880,1320,
495,1320,1485,1485,1980,2970,2376,1320,2640,2640,3960,3960,7920,495,495,495,
495,990,1485,1485,1485,2970,2970,2970,2970,2970,2970,2970,220,220,1760,2376,
2376,2376,1728,1320,1320,1980,1980,2640,3960,3960,7920,495,1485,1485,1485,
1485,1485,1485,2970,2970,2970,2970,2970,220,220,2640,2640,5280,2376,2376,2376,
1320,1980,1980,1980,1980,1980,1980,1980,1980,3960,880,495,495,1485,1485,1485,
1485,1485,660,660,1320,1320,1320,2376,495,1980,1980,1980,1980,880,880,880,
1728,396,792,792,1584,1485,220,220,660,660,660,660,1320,495,495,495,495,880,
396,396,396,792,792,660,660,495,495,220,220,396,66,66,220,220,144,144,66,66,
66,66,66,66,66,66,12,12,1],[1,1,396,396,495,495,880,1320,396,495,495,1320,
1485,1485,1485,1485,1485,1980,2970,2970,3960,5940,5940,2376,880,1320,1320,
1320,2640,2640,2640,2640,3960,3960,3960,3960,7920,7920,495,495,495,495,495,
495,990,1320,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,
1980,1980,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,
2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,3960,5940,5940,
220,220,1760,2376,2376,2376,2376,2376,2376,2376,1728,1320,1320,1320,1980,1980,
2640,2640,2640,3960,3960,3960,3960,3960,3960,3960,3960,3960,3960,3960,7920,
7920,7920,7920,7920,495,495,495,495,495,990,1485,1485,1485,1485,1485,1485,
1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,
1485,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,
2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,
2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,2970,220,220,220,
220,220,220,1760,2640,2640,2640,2640,5280,5280,2376,2376,2376,2376,2376,2376,
2376,2376,2376,2376,2376,1728,1320,1320,1320,1320,1980,1980,1980,1980,1980,
1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,2640,3960,3960,3960,
3960,3960,3960,7920,880,495,495,495,495,1485,1485,1485,1485,1485,1485,1485,
1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,
1485,1485,1485,1485,1485,1485,1485,1485,1485,2970,2970,2970,2970,2970,2970,
2970,2970,2970,2970,220,220,660,660,660,660,1320,1320,1320,1320,1320,2640,
2640,2640,2640,5280,2376,2376,2376,2376,2376,2376,2376,495,1320,1980,1980,
1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,1980,
1980,1980,1980,3960,880,880,880,880,880,880,880,1728,396,792,792,1584,495,495,
1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,1485,220,220,660,
660,660,660,660,660,660,660,660,660,660,660,1320,1320,1320,1320,1320,1320,
1320,2376,495,495,495,495,495,495,495,495,1980,1980,1980,1980,880,880,880,880,
880,880,880,1728,396,396,396,396,396,396,396,792,792,792,792,792,792,1584,
1485,220,220,660,660,660,660,660,660,660,660,660,660,660,660,1320,495,495,495,
495,495,495,495,495,495,495,220,220,880,396,396,396,396,396,396,396,792,792,
660,660,66,66,495,495,220,220,220,220,220,220,396,144,144,66,66,66,66,66,66,
66,66,66,66,66,66,66,66,220,220,144,144,66,66,66,66,66,66,66,66,66,66,66,66,
66,66,66,66,12,12,12,12,1,1]],
[1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,10,10,10,10,11,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,
20,20,20,20,20,20,22,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,27,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,40,40,40,40,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,
54,54,54,54,55,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,96,96,96,96,96,96,
96,96,96,96,96,96,108,108,108,108,108,108,108,110,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,128,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,192,192,192,192,192,192,192,192,192,192,216,216,216,240,240,
240,240,240,240,240,240,240,288,288,360,360,384,384,432,432,432,432,432,432,
480,660,660,720,720,720,720,720,720,720,720,720,720,720,720,720,720,864,864,
1320,1320,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,
1440,2880,2880,7920,7920,15840,15840,95040,190080],
[515,515,473,473,466,466,451,438,473,466,465,438,423,423,423,423,423,399,353,
353,318,271,287,388,451,438,438,438,382,383,382,383,318,318,318,318,247,247,
466,465,466,465,466,465,444,438,423,423,423,423,423,423,423,423,423,423,423,
423,423,399,399,353,359,353,357,353,353,353,353,353,353,357,353,353,359,359,
353,353,353,353,353,357,357,353,353,359,339,271,271,490,491,401,388,388,388,
388,388,388,388,408,438,438,438,399,398,382,383,384,318,318,318,318,318,318,
318,318,318,318,318,247,247,247,247,247,465,466,466,466,465,444,423,423,423,
423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,
359,353,359,357,353,357,359,353,353,359,353,353,359,353,353,353,359,359,359,
353,359,357,353,353,357,353,357,357,353,353,357,357,357,353,359,359,357,353,
357,352,357,359,491,490,491,491,490,490,401,383,382,382,383,309,309,388,388,
388,388,388,388,388,388,388,388,388,408,438,438,438,438,399,398,398,399,400,
399,397,398,398,399,398,399,399,399,398,398,384,339,318,318,339,318,318,247,
451,465,465,465,466,423,423,423,423,423,423,423,423,423,423,423,423,423,423,
423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,423,359,357,
359,353,357,359,357,359,357,353,491,490,461,462,462,461,431,431,438,434,434,
383,382,383,382,309,388,388,388,388,388,388,388,465,438,400,399,399,399,399,
397,399,398,399,398,398,397,399,398,398,398,400,400,397,398,339,451,451,451,
451,451,451,451,408,473,459,460,422,465,466,423,423,423,423,423,423,423,423,
423,423,423,423,423,491,490,461,462,462,462,462,461,461,461,462,462,461,461,
434,434,431,438,431,438,438,388,465,465,465,465,465,465,466,465,397,398,399,
400,451,451,451,451,451,451,451,408,473,473,473,473,473,473,473,460,459,460,
459,459,460,422,423,490,491,461,461,461,462,462,462,462,462,461,461,461,462,
438,466,465,465,465,465,466,465,465,466,465,490,491,451,473,473,473,473,473,
473,473,459,460,461,462,508,509,465,466,491,490,491,490,491,490,473,493,492,
508,508,508,509,508,508,508,509,509,509,509,509,509,508,490,491,492,493,508,
508,508,508,508,508,508,509,509,509,509,509,509,509,508,509,512,513,512,513,
515,515],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,7,7,7,7,1,1,8,8,1,1,
1,1,5,1,5,1,1,1,5,1,5,5,5,1,1,5,1,1,1,5,1,1,1,5,1,1,5,5,5,5,5,1,1,1,1,5,5,1,1,
1,5,5,5,1,5,1,5,5,1,5,5,1,1,1,24,24,24,1,24,1,1,1,1,8,12,18,11,7,7,12,1,8,8,8,
8,8,8,8,8,8,1,7,7,1,7,7,1,1,5,5,1,1,5,5,5,5,5,5,5,5,1,5,5,5,5,5,1,5,5,5,5,5,5,
5,14,5,1,16,5,16,14,5,5,5,5,5,14,5,5,5,5,14,14,5,14,5,5,5,16,5,16,16,5,5,1,16,
16,5,14,5,16,1,5,5,5,14,1,90,91,91,1,90,1,7,7,7,7,8,8,24,24,24,24,24,24,1,24,
24,24,24,1,1,8,8,12,104,105,105,104,43,18,41,11,105,104,105,104,18,18,11,11,
12,12,8,8,12,8,8,7,7,1,11,11,5,5,11,14,11,5,5,14,5,16,11,14,16,5,14,16,11,14,
14,5,5,16,14,14,16,11,5,16,11,5,16,16,14,16,14,5,16,14,16,14,16,5,91,90,90,91,
91,90,91,91,12,90,90,7,90,91,7,8,24,24,24,24,24,24,24,129,8,43,104,104,18,104,
230,104,105,104,105,11,41,104,105,105,105,228,228,230,105,12,91,91,90,248,7,
90,248,100,348,349,350,351,11,5,16,11,56,16,56,14,56,56,56,14,56,56,56,198,
196,90,91,198,198,198,90,196,196,91,91,90,196,196,90,91,12,198,101,101,24,317,
317,129,129,317,317,252,129,230,105,104,228,248,248,248,248,91,90,248,100,348,
348,348,348,348,348,348,350,349,350,349,349,350,351,56,196,198,90,296,296,298,
298,198,91,298,196,296,296,298,101,395,317,129,317,317,252,317,317,395,317,
368,367,248,348,348,348,348,348,348,348,349,350,296,298,463,464,317,395,450,
449,450,368,367,449,348,474,475,463,463,463,464,463,463,463,464,464,464,464,
464,464,463,449,450,475,474,463,463,463,463,463,463,463,464,464,464,464,464,
464,464,463,464,510,511,510,511,514,514],
[( 1, 2, 4)( 3, 6, 11)( 5, 9, 16)( 7, 12, 19)( 8, 14, 22)
( 10, 17, 26)( 13, 21, 32)( 15, 24, 36)( 18, 28, 39)( 25, 38, 57)( 27, 33, 48)
( 29, 42, 63)( 30, 43, 65)( 31, 45, 67)( 34, 50, 72)( 35, 52, 74)( 37, 55, 64)
( 40, 60, 81)( 41, 44, 66)( 46, 69, 89)( 47, 70, 90)( 49, 71, 91)( 51, 73, 86)
( 53, 76, 94)( 54, 77, 95)( 56, 61, 83)( 58, 78, 88)( 59, 80, 97)( 62, 84,103)
( 79, 96, 87)( 82,100,114)( 85,104,101)( 92,109,123)( 93, 98,112)( 99,113,125)
(102,117,129)(105,121,115)(106,107,118)(108,122,126)(110,111,124)(116,128,119)
(120,130,131),( 1, 3, 7, 13)( 2, 5, 10, 9)( 4, 8, 15, 6)
( 11, 18, 29, 28)( 12, 20, 31, 46)( 14, 23, 35, 53)( 16, 25, 39, 59)
( 17, 27, 41, 62)( 19, 30, 44, 50)( 21, 33, 49, 55)( 22, 34, 51, 43)
( 24, 37, 56, 48)( 26, 40, 61, 65)( 32, 47, 52, 75)( 36, 54, 45, 68)
( 38, 58, 79, 57)( 42, 64, 86,105)( 60, 82,101,116)( 63, 85, 71, 72)
( 66, 87,106,122)( 67, 88,107,123)( 70, 89)( 73, 92,110,117)( 74, 93,111, 96)
( 77, 94)( 78, 91,108,124)( 80, 98,109, 97)( 81, 99,104,120)( 83,102,118,112)
( 84,100,115,125)(103,119,121,130)(113,126,128,129)(114,127)(131,132)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[
1,1,2,-1,6,1,2,1,6,1,1,-1],[5,-2],[7,1,8,1,7,-1,5,1,7,-1,8,1]]],[[[1,1,2,1],[
2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
-1,4,2],[5,1],[6,1,3,1],[7,2,6,-1,3,1]]],[[[2,1,1,1,2,1,1,1],[3,-2]]],[[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,
2,-2],[6,1,7,-2,6,1,7,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,
-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,-2]]],[[[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,-1,3,-1],[1,1,2,1],[1,-1,2,1,1,-1,2,
-1],[7,1,6,1,7,1,6,1],[8,1],[5,1,9,1,5,-2,9,-2]],[[1,1,2,1],[1,-1,2,1,1,-1,2,
-1],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[6,1,1,-1,2,1,1,1,2,-1,6,2],[7,1,5,-2]]],[[[
1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,
1,2,-2],[6,1,7,1],[7,1,6,1,8,-2]],[[1,-1,2,-2,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[6,1,7,2,3,1,6,1,3,1]],[[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],[2,-1,4,2],[5,1],[6,
1,3,1],[6,2,3,1,6,1,7,2]],[[1,1,2,1],[2,-1,3,2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,
2]]],[[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,-1,4,2],[5,1],[6,2,3,1,6,2,3,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,
-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,6,1],[6,1,7,-1,8,
-2]],[[1,-1,2,-2,1,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,
1],[5,-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
1],[6,1,7,2,6,1,3,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[
6,1,1,-1,2,-2,1,1,6,1]],[[1,-1,2,-2,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[6,1,7,2,3,1,6,-2]],[[1,1,2,1],[2,-1,3,2],[
4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,
1],[4,1],[5,1,6,1,5,-2,6,2]],[[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],[2,-1,4,2],[5,1],[6,1,3,1,6,-3,3,1,6,-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],[2,-1,4,2],[5,
1],[3,1,6,1],[7,1,6,1,3,1,6,-1,7,-2]],[[1,1,2,1],[2,-1,3,2],[4,1],[1,1,2,-1,1,
1,2,-1,1,1,2,-1,5,1],[5,2,6,2,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[3,1,6,1],[3,1,6,-1,7,2,6,1]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,1],[3,3,2,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[
7,1,5,-1]]],[[[2,1,1,-1,2,-1],[3,1,1,-1,3,-1,2,-1,1,-1]]],[[[1,-1],[2,1,1,1,2,
1],[3,1,4,-1,3,1,4,-1]],[[2,1,1,1,2,-2,1,-1,2,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,
1,4,-1,1,1,2,1,1,1,2,-1,3,-1,4,1],[5,2]],[[1,-1],[2,1,1,1],[3,1,2,1,4,-1,1,1,
2,1,1,1,2,-1,3,-1,4,1],[1,-1],[1,1,2,1],[2,1,7,1],[8,1,6,-1,7,2,6,1,8,1],[5,1,
9,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,
-1,2,-1,1,1,2,-2],[6,1,7,-2,6,1,7,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,
4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[6,1,7,-1,6,1,7,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,
1,6,1,1,-1],[5,1,7,-1],[8,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,
-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[7,1,5,1]]],[[[1,1,2,
1],[3,1,1,1,3,-1,2,-1,3,2,2,1],[1,-1],[5,1,2,-1,5,-1,2,1,1,-1,2,1,5,-1],[4,1,
6,1,4,1,6,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1],[1,-1],[5,1,2,-1,5,-1,2,
1,1,-1,2,1,5,-1],[4,1,6,-2,4,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,
3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[6,1,7,-1,6,1,7,1]],[[1,-1],[1,1,
2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1]]],[[[2,1,1,-1]]],[[[2,1,1,-1,2,-1,1,
-1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,2,1,1,-1,2,-1,3,-1,4,1]],[[2,1,1,-1,
2,-1,1,1,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[2,-2,1,-1,3,-3,2,-1]],[[1,1,2,1],[2,1,
1,-1,2,1,3,1,2,1,3,1,1,-1]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,-1],[1,
-1],[5,1,1,1,2,-1,5,1,2,-2,1,1,2,1],[4,1],[7,1,6,1,7,1]]],[[[1,-1],[1,1,2,1],[
2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2]]],[[[
1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,1,-1,2,-2,1,1,6,1]],[[
1,-1,2,-2,1,1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,-2]]],[[[1,1,2,1],[2,1,
1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1],[1,-1],[1,
1,2,1],[2,1,9,1],[10,1,8,-1,9,-1,8,1,10,1],[1,1,2,1],[2,1,1,1,2,-1,12,3,1,
-1],[11,1,13,1],[14,1],[7,1,15,1,7,-1,15,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1],[1,-1],[1,1,2,1],[2,1,9,
1],[10,1,8,-1,9,-1,8,1,10,1],[1,1,2,1],[2,1,1,1,2,-1,12,3,1,-1],[11,1,13,1],[
7,1,14,1,7,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,
-1,5,2,2,1],[4,1,6,1],[7,-4]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,
4,2],[5,1],[6,1,3,1,6,-1,3,1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-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],[2,-1,4,2],[5,
1],[6,1,3,1,6,-3,3,1,6,-1]],[[2,1,1,1,2,1,1,1],[3,-2]],[[1,1,2,1],[2,-1,3,2],[
4,1],[5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,
3,1,6,2,3,1,6,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3,1,1,2,-1,1,1,2,-1,1,1,2,
-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,
-1,2,-1,1,1,2,-2],[7,1,6,1],[6,1,7,-1,8,-2]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,
5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,1,1],[6,1,7,1,6,1,7,1]],[[2,1,1,-1,2,1,1,-1,2,
-1,1,1,2,-2],[3,1,1,-1,2,-2,1,1,3,1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,
1],[4,1],[5,1,6,2,5,-2]],[[1,1,2,1],[2,-1,3,2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,
2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[3,1,6,
-1,7,2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,
3,1,6,2,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,
2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,
1,2,1,1,1,5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[
3,1,6,-1,3,1,6,-2,3,1,6,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,
3,1,6,-1,3,1,6,-2]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,
1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[4,1],[5,1,6,1,5,-2,6,2]],[[1,1,
2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[
1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,
1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1],[7,1,6,
-1,3,1,7,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,2,
3,1,6,-2,3,1,6,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,
2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,
1,6,-1,3,1,6,-2]],[[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],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,2,
2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
-1,3,1,6,-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],[2,-1,4,2],[5,1],[3,1,6,1],[6,1,7,2,3,1,6,1,3,1]],[[1,1,2,-1,1,1,2,-1,1,
2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
1],[6,1,3,1,6,1,7,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,
1],[6,1,3,1,6,-1,3,1,6,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,
5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[6,1,7,1,6,1,7,1,6,1]],[[1,-1,2,-2,1,
1,2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,
2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,6,1],[6,1,7,-1,8,-2]],[[2,
1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,-2]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,
4,2,3,-1,5,-1],[1,-1,2,-2,1,1],[6,1,7,1,6,1,7,1]]],[[[1,-1],[3,1,2,-1,3,-1,2,
1,1,-1,2,1,3,-1],[1,-1],[5,1,1,1,2,-1,5,1,2,-2,1,1,2,1],[4,1],[6,1],[7,1,8,
1],[8,1,7,1,9,1,7,-2,9,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1],[1,-1],[5,
1,2,-1,5,-1,2,1,1,-1,2,1,5,-1],[4,1,6,-1,4,1,6,1,4,1]],[[1,1,2,1],[3,1,1,1,3,
-1,2,-1,3,2,2,1],[1,-1],[5,1,2,-1,5,-1,2,1,1,-1,2,1,5,-1],[6,1,4,1,6,-2,4,1,6,
-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[3,
1,6,-1,7,1,6,2,7,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3,1,1,2,-1,1,1,2,-1,1,1,
2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,
1,7,-1,2,-1,7,2,2,1],[6,1,8,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[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,-2],[3,-2]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,
3,-1,5,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
1],[6,1,3,1,6,1,7,2]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]]],[[[1,1,2,1],[2,-1,3,2],[
4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-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],[2,-1,4,2],[5,
1],[3,1,6,-1,3,1,6,-2,3,1,6,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,
2,1,1,1,5,-3]],[[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],[2,-1,4,2],[5,1],[3,1,6,1],[3,1,6,-1,7,2]],[[1,1,2,1],[2,-1,3,
2],[4,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[5,1,4,-1,5,
-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[7,
2,6,1,3,1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,
1,3,1,6,-1,3,1,6,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[2,1,1,1],[2,1,3,1,1,1,
2,1,1,-1,2,1,3,-1],[1,-1],[2,1,1,1,2,1],[5,1,6,-1,5,1,6,1],[7,1],[4,1,8,1],[8,
1,9,2]],[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1],[4,1,2,1,1,-1,2,-2,1,1,2,
-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1],[4,1,2,1,1,-1,2,-2,1,1,2,-1,4,
1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[4,1],[5,1,6,1,5,-2,6,2]],[[1,1,
2,-1,1,1,2,-1,1,2,2,1,1,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,
5,-1]],[[1,-1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,
2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[
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],[2,-1,
4,2],[5,1],[3,1,6,1],[3,1,6,-1,7,1,6,2,7,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,
1,1,2,1,1,1,5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,
1],[6,1,3,1,6,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]]],[[[1,1,2,-1,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[7,1,6,1,3,1,6,1,7,1]],[[
1,1,2,1],[2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,-1,4,2],[5,1],[3,1,6,-3,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[
4,1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,5,1],[5,-3,6,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,
2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-3,3,1,6,-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],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[3,1,6,-3,3,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[3,1,6,2,3,1,6,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,-1,4,2],[5,1],[6,1,3,1],[3,1,6,1,7,-1,6,-1,7,1]],[[1,1,2,1],[2,-1,3,
2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,2]],[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[
5,1,4,-1,5,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,
2,-2,1,1],[6,1,7,1,6,1,7,1]],[[1,-1,2,-2,1,1,2,2,1,-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],[2,-1,4,2],[5,1],[3,1,6,1,3,1,
6,-2]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]]],[[[2,1,1,-1,2,1],[3,1,1,-1,2,-1,1,
-1,2,1,1,1,3,-1]],[[1,-1],[3,1,2,-1,1,1,2,-2,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,
-1,3,-1,2,-1,3,-1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[3,1,1,-1,3,-1]]],[[[1,-1],[1,
1,2,1],[4,1,3,1,2,-1,4,-1,2,1,1,1,2,1,1,-1,2,1,3,1]],[[1,-1],[1,1,2,1],[3,1,2,
-1,4,1,2,1,1,1,4,-1,2,-1,1,1,2,-1,3,-1]]],[[[2,1,1,-1,2,-2,1,1,2,-1]],[[2,-2,
1,-1,2,-2,1,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1,4,-2]],[[1,
-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,3,1,4,-1,2,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,1,1,1,3,-1],[4,2]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,2,3,-1,2,1,1,1,2,
-1],[1,1,2,1],[6,1,2,1,1,1,2,-1,6,1,1,1,6,-1],[5,1,7,1]]],[[[2,1,1,-1,2,-1],[
3,1,2,-1,1,-1,3,1,1,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1]],[[1,1,2,
-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,
-2,1,-1,2,-1]]],[[[2,1,1,-1,2,-1,1,1]]],[[[1,-1],[2,1,1,1],[1,1,2,1,3,1,2,1,4,
-2,3,1,2,1,4,-1]],[[1,-1],[1,1,2,1],[2,1,1,-1,2,-1,3,-1,4,2,3,1,2,1,4,1]]],[[[
1,-1],[2,1,1,1],[3,1,2,1,4,-1,1,1,2,1,1,1,2,-1,3,-1,4,1]],[[1,-1],[1,1,2,1],[
2,1,4,1],[5,1,3,-1,4,2,3,1,5,1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,-2,1,-1,2,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,
5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,-2]],[[2,1,1,-1,2,1,1,-1,2,-1,
1,1,2,-2],[3,-2]]],[[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]],[[2,-2,1,-1,2,
1,1,-1,2,-1]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,
5,-2,2,-1,5,-1],[4,-1,6,-2,4,1]],[[1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2],[1,1,2,
1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[5,1,7,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[5,-2]]],[[[1,-1],[1,1,
2,1],[4,1,2,1,3,1,4,-1,3,1,4,-1,2,-1,4,1]],[[2,1,1,1],[2,1,3,-1,1,-1,2,1,3,-1,
2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[4,1,2,1,3,-1,2,1,4,1,3,1]],[[1,-1],[3,1,
2,1,3,1,2,1,1,-1,2,1]]],[[[2,-2,1,1,2,1,1,-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,
-4]]],[[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,4,1,3,-1,4,1],[2,1,1,1],[2,1,6,
1,1,1,2,1,1,-1,2,1,6,-1],[7,1,5,1,7,1]],[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,
1,4,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1],[1,1,2,1],[2,1,1,
1],[2,1,6,-1,5,2,6,-1,2,-1],[4,1,7,1]]],[[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,
2,1,4,1,3,-1,4,1]],[[1,-1],[1,1,2,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1,4,-2]]],[[[1,
1,2,1],[2,1,1,-1,2,1,3,2,1,1,2,-1,1,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-2,
3,-1,4,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1,3,-1,4,1,3,-1,2,-1,4,-2]],[[2,1,1,1],[
2,1,3,1,1,1,2,1,1,-1,2,1,3,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-2,3,-1,
4,-1]],[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]],[[1,1,2,1],[1,1,2,-1,3,3]]],[[[1,
-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,3,-1,2,-1,4,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,
3,1,-1]]],[[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]],[[1,1,2,1],[3,3,2,1,1,
-1]]],[[[1,-1],[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,-1,2,1,5,-1,3,-1,5,1]],[[1,
-1],[1,1,2,1],[2,1,1,1],[3,1,4,-1,5,1,4,1,3,1,2,1,5,1]]],[[[1,-1],[1,1,2,1],[
3,1,4,-1,2,-1,4,2,3,-1,2,1,1,1,2,-1]],[[1,-1],[1,1,2,1],[2,1,1,-1,2,1,3,1,2,1,
4,1,3,-1,4,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,
-1,2,1,1,-1,2,-1,1,1,2,-2],[6,1,7,-1,6,1,7,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,
1,5,-1,4,2,3,-1,5,-1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,1,1,-1,2,-2,1,1,
3,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1],[1,-1],[5,1,2,-1,5,-1,2,1,1,-1,
2,1,5,-1],[4,1,6,-1,4,1,6,1]],[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,-1],[1,
-1],[5,1,1,1,2,-1,5,1,2,-2,1,1,2,1],[6,1,4,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[
3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,6,1,7,-2]],[[2,
1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,1,1,-1,2,-2,1,1,3,1]]],[[[1,-1],[1,1,2,1],[
2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[6,1,7,-2,
6,1,7,-1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,1,1,-1,2,-2,1,1,3,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,
2,-2],[6,1,7,-1,6,1,7,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,
-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,6,1,7,-2]],[[1,-1],[1,1,2,1],[2,1,
4,1],[3,1,5,-1,4,2,3,-1,5,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
-1,4,2],[5,1],[6,2,3,1,6,-2,3,1,6,-1]],[[2,1,1,1,2,1,1,1],[3,-2]],[[1,1,2,1],[
2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[6,1,3,1,7,-1,6,-1,7,-1]]],[[[1,-1],[1,1,
2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,
1,6,1,7,-1,6,1,7,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1]],[[
1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,1,1],[7,1,6,1,7,
1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,1,1,-1,2,-2,1,1,3,1]]],[[[1,1,2,-1,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,
-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[3,1,6,
1],[6,1,3,1,6,1,7,2]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
-1,3,1,6,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,
-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[3,
1,6,-1,7,2]],[[1,1,2,1],[2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,
2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,2]],[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[
5,1,4,-1,5,-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,
1,3,1,6,-3,3,1,6,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,
2],[4,1],[5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[
6,1,3,1,6,-1,3,1,6,-2]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,
2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,
1,6,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,
1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,
2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1]]],[[[1,1,2,
-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[7,2,6,1,3,1]],[[1,
1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[1,-1,2,
-1,1,-1,2,-1,5,2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,
1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,
-1,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,
-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,-2]],[[1,
1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,
2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,
1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,
4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,1,2,
-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]],[[1,1,2,
-1,1,1,2,-1,1,2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,
2],[5,1],[3,1,6,-1,3,1,6,-2,3,1,6,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,
1,2,1],[2,-1,3,2],[4,1],[5,-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,-2],[3,-2]],[[1,-1,2,-2,1,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,
5,-1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,
1,-1,2,1,1,-1,2,1,5,1],[4,1,6,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,
1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,-2]],[[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],[2,-1,4,2],[5,1],[6,1,3,1,6,
2,3,1,6,1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[4,1],[5,1,6,1,5,-2,6,
2]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[1,1,
2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-2,3,1,6,
-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,2,1],[
2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[3,1,6,1],[3,1,6,-1,7,2]],[[1,1,2,1],[2,-1,3,
2],[4,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,
2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,2,3,1,6,-2,
3,1,6,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,
1,-1,2,1,3,-1],[1,-1],[2,1,1,1,2,1],[5,1,6,-1,5,1,6,1],[7,1],[4,1,8,1,4,1,8,
-1]],[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1],[4,1,2,1,1,-1,2,-2,1,1,2,-1,4,
1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1],[5,1],[6,1,2,1,1,-1,2,-2,1,1,2,
-1,6,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,1],[4,1],[5,-2]],[[1,1,2,
1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,
1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,-2]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,-3]],[[1,1,2,-1,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[1,1,2,-1,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]],[[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],[2,-1,4,2],[5,1],[3,1,
6,-1,3,1,6,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,1],[4,1],[5,-2]],[[
1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,
-1,7,2,2,1],[6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,
3,2,2,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,
6,-1,3,1,6,-2]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,
1,1,1,2,1,1,1,5,-3]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,
1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]],[[1,1,2,1],[2,-1,
3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[3,1,6,-1,7,2]],[[1,1,2,1],[2,-1,3,2],[2,1,
1,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,2]]],[[[1,
-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,
7,2,2,1],[6,1,8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]]],[[[1,1,2,1],[2,1,1,1,2,
-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1],[7,1,6,1,7,1]],[[1,1,
2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,
-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,
2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,
1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]],[[1,1,2,1],[2,-1,3,
2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3,1,1,
2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,
1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1],[1,-1],[1,1,2,1],[2,1,9,1],[10,1,8,-1,9,-1,8,
1,10,1],[1,1,2,1],[2,1,1,1,2,-1,12,3,1,-1],[11,1,13,1],[7,1,14,1]],[[1,1,2,
1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1],[1,
-1],[1,1,2,1],[2,1,9,1],[10,1,8,-1,9,-1,8,1,10,1],[1,1,2,1],[12,1,2,1,1,-1,2,
1,1,-1,2,1,12,1],[13,1,11,1],[7,1,14,-1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,
1,1,1],[4,1],[5,1,6,1,5,-2,6,2]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,
1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,1],[2,-1,
3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,-1,4,2],[5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1]]],[[[1,-1],[1,1,2,1],[2,1,
4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1],[
9,-2,6,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,-1,3,2],[2,
1,1,1,2,1,1,1],[4,1],[5,1,6,1,5,-2,6,2]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,
2],[5,1],[6,1,3,1,6,-1,3,1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,
-1,4,2],[5,1],[3,1,6,-2,3,1,6,2,3,1]],[[2,1,1,1,2,1,1,1],[3,-2]],[[1,1,2,1],[
2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1],[4,
1],[5,1,6,1,5,-2,6,2]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,-2]]],[[[1,-1],[1,1,
2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,
1,6,1],[6,1,7,-1,8,-2]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[
1,-1,2,-2,1,1,6,1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,-2]]],[[[1,1,2,-1,1,
1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1,3,1,6,-2]],[[1,1,2,1],[2,
-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,-3]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,
1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,
-1,3,2,2,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,
6,1],[3,1,6,-1,7,2]],[[1,1,2,1],[2,-1,3,2],[2,1,1,1,2,1,1,1,4,-1]],[[1,1,2,
1],[2,-1,3,2],[4,1],[1,-1,2,-1,1,-1,2,-1,5,2]]],[[[1,1,2,1],[2,-1,3,2],[4,1],[
5,-3,1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,1,2,-1,1,
1,2,-1,1,1,2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,
3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]]],[[[1,1,2,1],[2,-1,
3,2],[4,1],[5,-3]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,
1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,
1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1,6,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[
4,1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
-1,3,1,6,-2,3,1,6,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,
1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]],[[1,1,2,
-1,1,1,2,-1,1,1,2,-1],[3,1,1,-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],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1,3,1]],[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,2,3,1,6,-1]]],[[[1,1,2,-1,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[6,1,3,1,7,-1,6,-1,7,
-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,2,1],[
2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,1],[2,-1,3,2],[4,1],[
5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,-1,1,1,2,
-1,1,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,
2,-1,5,2,2,1],[4,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,
4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1,6,
1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,
-1,7,3,1,-1],[6,1,8,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,
5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]],[[1,1,2,1],[3,1,1,1,
3,-1,2,-1,3,2,2,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,
1],[3,1,6,1],[7,2,6,1,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1,2,1,1,1,2,1,1,1]],[[1,
1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1,3,1,6,-2]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,1,1,1,2,-1,1,1,2,-1,1,1,2,-1,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,-1,4,2],[5,1],[3,1,6,2,3,1,6,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[
1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,
1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,
2,-1,7,3,1,-1],[6,1,8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,
5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1],[7,2,6,1,3,1]],[[1,1,2,1],[
2,-1,3,2],[2,1,1,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,
1,5,2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,
1,-1,2,-1,1,1,2,-2],[6,1,7,1,6,1,7,1,6,1]],[[1,-1,2,-2,1,1,2,2,1,-1,2,1,1,1,2,
-1,1,1,2,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,
1,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[
5,1],[3,1,6,1,3,1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]]],[[[1,1,2,-1,1,1,
2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,2]],[[1,1,2,-1,1,1,
2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[
3,1,6,-2,3,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,
2,1],[2,1,1,1,2,-1,7,3,1,-1],[8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,1],[1,-1,
2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[4,-1,6,1]],[[1,1,
2,1],[1,-1,2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[6,1,4,
-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,2,3,1,5,1]],[[1,-1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2],[1,
1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[4,1,6,-1,4,-2]],[[1,1,2,1],[1,-1,2,1,1,
-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[6,1,4,1]],[[1,1,2,1],[
1,-1,2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[4,1,6,
1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,-1]],[[2,1,1,-1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,
-4]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,
1,2,-1,6,1,2,1,6,1,1,-1],[5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,
-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[7,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,
6,1,1,-1],[5,1,7,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,
-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[7,1,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[
5,1,7,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,2,-1,1,1,3,1]],[[1,-1],[2,1,1,1,
2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,1,1,-1,2,-1,3,1]],[[1,1,2,
1],[3,2,1,1,3,2,2,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-2,1,-1,2,-1,3,-1]],[[2,-2,1,
-1,2,-2,1,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,1,-1,2,-1,3,1,4,1,1,-1]],[[1,1,2,
1],[3,1,1,-1,2,-1,3,1,1,-1,3,-1,2,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,2]],[[1,
1,2,-1,1,1,2,1,1,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,1,2,1,4,-1,3,1]],[[1,
-1],[3,1,2,1,1,-1,2,-1,3,1,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,4,2,
3,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,2,3,
-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[3,
1,1,-1,2,1,1,1,2,-1,3,2],[1,1,2,1],[1,-1,2,1,1,-1,2,-1],[6,1,5,1,6,1,5,1],[4,
1,7,1]],[[1,1,2,1],[1,-1,2,1,1,-1,2,-1],[4,1,3,1,4,-1,3,-1],[5,-2]]],[[[1,
-1],[3,1,2,1,1,1,2,1,3,1,2,-1,1,1,2,-1]],[[1,-1],[1,1,2,1],[4,1,3,-1,4,-1,2,
-1,3,1,2,1]]],[[[2,-2,1,1,2,-1,1,-1,2,-2]],[[2,1,1,1],[3,1,1,1,3,1,2,-1]]],[[[
1,-1],[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,-1,5,1,2,-1,3,-1,5,1]],[[1,1,2,1],[
3,2,1,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,-1,2,1,3,2]],[[1,1,2,
1],[3,1,1,-1,2,-2,1,1,3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1,1,-1,2,1,
1,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,4,-1,2,
1,4,1,3,-1,4,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,-1],[2,1,1,
1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,-2,3,3]]],[[[1,-1],[2,1,1,1,2,1,3,1,2,1,
1,-1,2,-1,3,-1]],[[2,1,1,-1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,
-1]],[[2,1,1,1],[2,1,3,2,2,-1,1,1]]],[[[1,1,2,1],[3,1,1,-1,3,-1,2,-1]]],[[[1,
-1],[1,1,2,1],[3,1,2,1,1,1,2,-1,4,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,-1,2,1,
1,-1,2,1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,1,-1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,1,-1,2,1,3,1,4,-2,2,-1]],[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,
-1]],[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,3,1,4,-1,2,-1,4,1]]],[[[1,-1],[1,1,2,
1],[2,1,1,-1,2,-1,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,
1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,1,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,3,2,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,
1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,6,1,7,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,
-1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,2]]],[[[1,-1],[3,1,
2,1,1,1,2,1,1,-1,2,-1,3,-1]],[[1,-1],[1,1,2,1,3,1,2,-1,1,1,2,-1,3,-1]]],[[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,
1,1,2,-2],[7,-2]],[[1,-1,2,-2,1,1,2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,
1],[3,1,2,-1,1,-1,2,1,3,-1]],[[1,-1,2,-1,1,-1,2,1,1,1]]],[[[1,-1],[1,1,2,1],[
2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,
-2]],[[1,-1,2,-2,1,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,1,-1]],[[1,-1,2,-1,
1,-1,2,1,1,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,2,3,1,5,1]],[[2,1,1,
1],[1,-1,3,1,2,-2,1,-1,2,1,3,-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,
1]],[[1,1,2,-1,1,-1,2,-1,1,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,
-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,-2]],[[1,-1],[1,1,2,1],[2,1,
4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,1,1,6,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,
2,-2,1,1,2,-1,3,-1]],[[1,1,2,1],[3,2,1,-1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[3,1,
2,-2,1,-1,2,1,3,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[
6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2,6,1]],[[2,2,1,-1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,
-1,2,-1,1,1,2,-2,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[
6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,
4,2,3,-1,5,-1],[1,-1,2,-2,1,1,6,1],[7,1,2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,1,1,6,1],[7,
-2]]],[[[1,-1],[2,1,1,-1,2,-1,3,1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,
3,1,2,1,1,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,-1]],[[1,1,2,1],[3,-4]]],[[[1,
-1],[3,1,2,-2,1,-1,2,1,1,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-2,1,1,2,
-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,-1]],[[2,1,1,1],[3,1,2,-1,1,-1,
2,1,3,-1]]],[[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,4,1,3,-1,4,1]],[[2,1,1,
1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,
-1]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,-1,2,1,3,
1,2,1,3,1,1,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,1,-1,2,1,3,1]]],[[[1,-1],[3,1,2,
1,1,-1,2,-1,3,-1]],[[1,1,2,-2,1,-1,2,-1]]],[[[1,-1],[1,1,2,1],[4,1,2,1,3,1,4,
-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,2,1,3,1,1,-1]],[[1,1,2,1],[
1,-1,2,-1,3,-2,2,1,1,-1,2,-1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,3,-1,2,
-1,4,-2]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1,1,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,
1,3,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,
1,-1,2,-1,1,1,2,-2],[7,1,6,1,7,-2]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,
3,-1,5,-1]],[[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[3,1,1,-1,2,-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]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]],[[1,1,2,-1,1,1,2,
-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,
-2]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,
7,-1,2,-1,7,2,2,1],[6,1,8,1,6,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,
-1],[6,1,8,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,
1,6,-1,3,1,6,-1]],[[1,1,2,1],[2,-1,3,2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,
-2]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,
2,1],[2,-1,4,2],[5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,
1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,
2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,-3]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,
-2,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,
1,-1,2,1,3,1],[4,1],[5,-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[
1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,
1],[6,1,8,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,
-1,5,2,2,1],[4,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,
1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,
1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,
1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-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],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,
1,-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3,1,1,2,-1,1,1,2,-1,
1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,
1,1,1,2,-1,7,3,1,-1],[8,1,6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,
1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,1]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,1,1,-1,2,1,
1,-1,2,1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,
1],[4,1],[5,-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,
2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]]],[[[1,1,2,-1,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-1,3,1,6,-1]],[[1,1,2,-1,
1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1,3,1,6,1,3,1]],[[1,1,2,1],[2,
-1,3,2],[4,1],[5,1,1,1,2,-1,1,1,2,-1,1,1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,
1],[5,-3,1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,
4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1,6,1]],[[1,-1],[1,1,2,
1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,
1,8,1]]],[[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]],[[2,1,1,-1,2,1,1,-1,2,1,1,
-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,
2,-1,1,-1,2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,
1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,
1,1,-1,2,1,3,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,
1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,
-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,
-1,2,1,7,1],[6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,
3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,
1,2,1],[2,-1,3,2],[4,1],[5,-3,1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]],[[1,1,2,1],[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],[2,-1,4,2],[5,
1],[3,1,6,1,3,1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,2,3,1,6,-1]]],[[[1,1,2,-1,1,1,2,
-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,1,1,-1,2,1,
1,-1,2,1,1,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]],[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]]],[[[1,-1],[1,1,2,1],[2,
1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,
8,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,
1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[
1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,
1,6,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,
1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,-1],[1,1,2,
1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[8,1,6,
1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,
1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,
1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]]],[[[1,
1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,
1],[4,1,6,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,
1,6,-2,3,1,6,1,3,1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[
4,1],[5,2,1,1,2,-1,1,1,2,-1,1,1,2,-1,5,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,-2,3,1,6,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[
3,1,1,-1,2,-1,1,-1,2,-1,3,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,
2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,
1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,
-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,1,2,-1,
1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,1,6,1,3,1,6,1,3,1]],[[1,1,2,
-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,1,2,-1,1,1,2,-1,
1,1,2,-1,5,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,
1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,
1,3,1]]],[[[1,1,2,1],[2,-1,3,2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,-2]],[[1,
1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-1,2,-1,1,-1,2,-1,3,1]]],[[[1,-1],[1,1,2,1],[
2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,
1],[9,-2,6,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,2,
-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,1]]],[[[1,-1],[
1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,
1],[6,1,8,1,6,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,
2,-1,5,2,2,1],[4,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,1,
4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1],[
9,-2,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,
1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,
1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1]],[[1,1,2,-1,1,1,2,
-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,-1,2,-1,1,-1,2,-1,5,1]],[[
1,1,2,1],[2,-1,3,2],[4,1],[5,-3]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,
-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]],[[1,1,2,1],[
3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,
1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,
1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1],[7,1,6,1,7,1]],[[1,1,2,1],[2,1,1,1,2,-1,
3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,-1],[1,1,
2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[8,1,
6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,
1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,
4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[6,1,8,1]],[[1,-1],[1,
1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,
1,8,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[
7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,
1],[4,1,6,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[3,
1,6,-2,3,1,6,1,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[3,1,1,-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],[2,-1,4,2],[5,1],[3,1,6,2,3,1,6,
-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,
3,1,6,1]],[[2,1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,
-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[2,1,1,1,2,1,1,1,5,
-3]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,
5,-1],[4,1,6,1]],[[1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2],[4,-2]],[[1,1,2,1],[1,-1,
2,1,1,-1,2,-2,3,2],[1,1,2,1],[2,1,1,-1,2,-1,5,-2,2,-1,5,-1],[6,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,1],[1,1,2,-1,6,1,
2,1,6,1,1,-1],[5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,
3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,1],[1,1,2,
1],[1,1,2,-1,6,1,2,1,6,1,1,-1],[7,1,5,1]]],[[[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,-1,1,1,2,1]]],[[[1,1,2,1],[3,-4]],[[2,1,1,1],[
3,1,1,1,3,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1]],[[
1,-1],[2,1,1,1,2,-1,3,1,2,-1,1,-1,3,1,2,1,1,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,3,1,1,-1,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,1,-1,2,-2,1,1,2,-1,3,-2]]],[[[
1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]],[[2,-2,1,-1,2,-2,1,1]],[[1,1,2,1],[3,
2,2,1,3,1,1,-1]]],[[[2,1,1,1,2,-2,1,-1,2,-1]],[[1,1,2,1],[1,-1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,2,1,1,-1,3,-1,2,1,1,1,2,-1,3,-1]],[[1,-1],[1,1,2,1],[2,
1,4,1,3,-1,4,-1,3,1,2,1,1,1]]],[[[1,1,2,-2,1,-1,2,-2,1,1]],[[2,-2]],[[2,1,1,1,
2,-2,1,-1,2,-1]]],[[[1,1,2,-1,1,1,2,-2,1,-1,2,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,
-1,2,-2,3,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,2,3,1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,1,1,1]]],[[[1,-1],[1,1,2,1],[2,1,1,-1,2,1,3,
-1,4,-2,3,1,2,1,1,-1,2,-1]],[[2,-2,1,1,2,-2,1,1]],[[1,-1],[1,1,2,1],[1,1,2,-1,
3,1,4,-1,2,1,1,1,2,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,
-1,4,1,2,-1,3,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,1,1,2,1,4,-1,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,1,2,1,4,-1,3,1]],[[1,-1],[2,1,1,1,2,
1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,-1,2,-1,3,-1]],[[1,1,2,1],[3,
2,2,1,1,-1,2,-1,1,-1]]],[[[1,-1],[1,1,2,1],[2,1,1,-1,2,-1,3,-1,4,2,3,1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1,1,-1,3,-1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,
-1,2,1,1,-1,2,1]]],[[[1,-1],[1,1,2,1],[2,1,1,-1,2,-1,3,-1,4,1,3,1,4,-1,2,
-1]],[[1,1,2,1],[1,-1,2,1,1,-1,2,-1],[4,1,3,1,4,1,3,-1]]],[[[1,-1],[1,1,2,1],[
4,1,3,1,4,-1,2,-1,3,1,2,1,1,1,2,-1,4,1]],[[1,1,2,-1,1,1,2,-1,1,-1,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,3,-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],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,
1,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]]],[[[1,1,2,1],[3,1,1,
-1,2,-2,1,-1,2,1,3,2]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,3,1,2,1,1,1,4,
-1]]],[[[1,1,2,1],[1,-1,2,-2,1,1,3,-1,2,1,3,2]],[[2,1,1,1],[3,1,2,-1,1,1,2,1,
3,-1,1,1,2,1]]],[[[2,-2,1,-1,2,1,1,-1,2,-1]],[[1,-1,2,1,1,-1,2,1]]],[[[1,-1],[
1,1,2,1],[2,1,4,1],[3,1,5,-2,3,-1,4,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,-1,2,1,3,1,2,1,3,1,1,-1]],[[1,1,2,1],[1,-1,2,-1,3,-2,2,1,1,-1,2,
-1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1,4,-1,2,-1,4,1]],[[2,1,1,1,2,1,
1,1,2,1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,
-1,2,-2,1,1,6,1]],[[2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,
4,1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2,6,1]],[[2,
2,1,-1,2,1,1,1,2,-1,1,1,2,-1]],[[1,-1,2,-2,1,1]]],[[[1,-1],[1,1,2,1],[2,1,4,
1],[3,1,5,-1,4,2,3,-1,5,-1],[6,1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2]],[[1,-1,2,
-2,1,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1]],[[2,2,1,-1,2,
1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,1,3,1,1,-1]],[[2,1,1,-1,2,-2,1,1,2,
1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[1,-1,2,-2,1,1,6,
1]],[[1,-1,2,-2,1,1,2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,3,1]],[[2,1,1,-1,2,-1],[3,1,1,1,3,1]]],[[[1,-1,2,-2,1,1,
2,2,1,-1,2,1,1,1,2,-1,1,1,2,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,
-1,5,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,2,2,1,1,-1,2,1]],[[2,-2,1,-1,2,
-2,1,-1]],[[1,1,2,1],[1,-1,2,1,3,2,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,2,1,-1,2,1,
1,1,2,-1,3,1]],[[1,-1],[1,1,2,1],[3,1,2,-1,4,-2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
3,1,1,1,3,-1,2,1,1,-1,2,-1,3,1]],[[1,1,2,-2,1,1,2,-1,1,1]]],[[[1,-1],[1,1,2,
1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,-1],[2,1,1,-1,2,1,1,-1,2,-1,1,1,2,-2],[7,1,
6,1,7,1]],[[1,-1,2,-2,1,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,
-1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[1,-1,2,
-1,3,-2,2,1,1,-1,2,-1]]],[[[1,-1],[2,1,1,-1,2,1,3,-1,2,1,1,1,2,1,3,1]],[[1,
-1],[1,1,2,1,3,1,2,1,1,-1,2,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,1,-1]],[[
1,-1,2,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-1]],[[2,1,1,-1,2,-2,1,1,2,
1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-2,1,1,2,-1,3,-1]],[[1,1,2,-1,1,1,2,1,1,-1,2,
-1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,-2,1,1,4,1,3,1,4,-1,2,-1]],[[2,-2,1,1],[3,
1,2,-1,1,-1,3,-1]]],[[[1,-1],[3,1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[1,1,2,-1,1,1,2,
-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,1,1,2,-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,1,
1,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,1,-1,2,1]]],[[[1,-1],[
3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]],[[1,1,2,1,1,-1,2,1,1,1]]],[[[1,-1],[1,1,2,
1],[3,1,2,-1,4,1,3,1,4,-1,2,-1,4,-1]],[[1,1,2,1],[1,-1,2,-2],[4,1,3,1,4,1,3,
1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,4,-3,2,1,1,-1,2,1,3,-1]],[[1,1,2,1],[3,1,1,
-1,2,-2,1,1,2,-1,3,1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,3,1,2,-1,4,
1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-1,4,-2]],[[2,1,1,1,2,-2,1,
-1,2,1]]],[[[1,1,2,-1,1,1,2,-2,1,1,2,-1,1,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
2]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,3,
-1]],[[1,1,2,-1,1,1,2,-2,1,-1,2,1,1,-1]]],[[[1,1,2,1],[3,1,1,-1,3,-1,2,-1,3,1,
2,1,1,1,2,-1]],[[1,1,2,1],[1,-1,3,-1,2,1,1,-1,2,-1,3,-1]]],[[[1,-1],[2,1,1,-1,
2,1],[3,1,4,-2,3,-1]],[[2,-2,1,1,2,-1,1,1,2,1]]],[[[1,-1],[3,1,2,1,1,1,2,-2,1,
-1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,-1,2,-1]],[[1,-1],[2,1,1,-1,2,1],[3,1,4,-2,3,
-1]]],[[[1,1,2,1],[3,2,2,1,1,-1,2,-1,1,-1]],[[1,1,2,-2,1,-1,2,-2]]],[[[1,-1],[
2,1,1,1],[3,1,4,1,2,-1,3,-1,2,1,4,-1]],[[2,1,1,-1,2,1,1,-1]]],[[[1,-1],[1,1,2,
1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,
1],[6,1,8,-1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[3,
1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,
1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[2,-1,4,2],[5,1],[6,1,3,1,6,-1,3,1,6,1]],[[2,1,1,-1,2,1,1,-1,2,
1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,1,1,
-1,2,-1,1,-1,2,-1,5,1]],[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]]],[[[1,-1],[1,1,2,
1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,
1,8,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,
3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,1],[
2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,
-1,2,1,7,1],[8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,
1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,
-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,1,2,1],[3,1,2,1,
1,-1,2,1,1,-1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]]],[[[1,-1],[1,
1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,
7,1],[6,1,8,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[1,1,2,1],[2,
1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,
6,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,
1],[4,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,
1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,
-1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,2,
-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,1]],[[1,1,2,1],[
3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,
2,1,1,-1,2,1,1,-1,2,1,5,1],[4,1,6,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,
4,-1,3,1,5,1],[1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]]],[[[1,1,2,1],[
2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]],[[1,1,
2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,
3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,
1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]],[[
1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,
-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,-1],[1,
1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[8,
1,6,1,8,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,2,1,1,-1,2,1,1,
-1,2,1,5,1],[4,1,6,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[5,1,1,1,
5,-1,2,-1,5,2,2,1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,1,-1],[1,1,2,1],[
5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,-1,2,1,3,
1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,
-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,
3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]],[[1,1,2,1],[3,1,2,1,1,
-1,2,1,1,-1,2,1,3,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,
1,2,1],[7,1,2,1,1,-1,2,1,1,-1,2,1,7,1],[8,1,6,1]]],[[[1,-1],[1,1,2,1],[2,1,4,
1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1,6,1]],[[
1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[1,1,2,1],[7,1,2,1,1,-1,2,1,
1,-1,2,1,7,1],[8,1,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[7,1,1,1,7,-1,2,-1,7,2,2,1],[6,1,8,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,
3,1,-1],[1,1,2,1],[5,1,1,1,5,-1,2,-1,5,2,2,1],[4,1,6,1]],[[1,1,2,1],[3,1,2,1,
1,-1,2,1,1,-1,2,1,3,1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1],[
1,1,2,1],[2,1,1,1,2,-1,7,3,1,-1],[6,1,8,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,
1,5,-1,4,2,3,-1,5,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,1,4,-1]],[[1,
-1],[1,1,2,1],[3,1,2,1,1,-1,3,1,4,-1,2,-1,4,1]]],[[[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],[3,1,2,1,3,1,2,1,1,-1,2,-1,3,
-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,-2,3,
2]],[[1,1,2,1],[2,1,1,-1,2,-1,3,-2,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[4,1,1,1,2,
-1,3,-1,4,1,3,-1,4,-1,2,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,3,1,2,-1,4,
1]]],[[[1,1,2,-2,1,-1,2,-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]]],[[[2,1,1,-1],[3,1,2,1,3,1,2,1]],[[2,1,1,1,2,-2,1,1,2,1]],[[
2,-2,1,-1,2,-2,1,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,-1,2,1,4,-1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,-1]]],[[[1,1,2,1],[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],[2,1,1,1,2,-1,1,1,3,
-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,1,
-1,2,1,3,1]],[[1,-1],[3,1,2,1,1,-1,2,-2,1,1,2,-1,3,-1]]],[[[1,-1],[3,1,2,1,1,
-1,2,1,3,1,2,-1,1,-1]],[[2,1,1,-1,2,-2,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,
-1,3,1,2,-1,1,1,2,-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,-1],[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,5,2,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,
-1,2,1,4,-1,3,1,4,1,3,1,2,1,3,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,-1,2,1,4,2,2,
1,3,1]],[[1,-1],[2,1,1,-1,2,-1,3,1,2,-1,1,-1,3,1,2,1,3,-1]]],[[[1,-1],[1,1,2,
1],[2,1,1,1,2,-1,3,-1,4,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,
-1,2,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,2,-1,3,1,1,-1,3,-1,2,-1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,1,
1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,2,-1]],[[1,-1],[
1,1,2,1],[2,1,4,1],[4,1,3,1,5,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,-2,1,1,3,1,1,1,3,
-1,2,-1,3,-1]],[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,1,1,-1,2,-1]],[[1,1,2,1],[2,
-2,1,1,3,-1,1,-1,2,-1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[1,-1,2,1,1,1]]],[[[1,
1,2,1],[3,1,2,1,1,-1,2,-1,3,-1,1,-1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,1,1,
3,-2]]],[[[2,1,1,-1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1]]],[[[1,1,2,1],[1,-1,2,1,1,-1,2,-1],[4,1,3,1,4,-1,3,-1]],[[1,1,2,1],[3,1,1,
-1,2,1,1,1,2,-1,3,2]],[[1,1,2,1],[1,-1,2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]]],[[[
1,-1],[1,1,2,1],[4,1,1,-1,2,-1,3,-1,4,-1,3,1,2,1,3,-1]],[[1,1,2,1],[2,1,1,-1,
2,-1,3,-1,2,1,3,1,1,1,3,1]]],[[[1,1,2,1],[2,-2,1,-1,3,-3,2,-1]],[[1,1,2,1],[2,
1,1,-1,2,-1,3,-2,2,-1,3,-1]]],[[[1,-1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]],[[1,
-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,3]],[[1,-1,2,
-1,1,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,-1,2,1,3,2]],[[2,1,1,1],[
3,1,1,1,3,1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,-1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,1,2,1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,-1,
1,-1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,-1,2,-1],[3,1,1,-1,3,-1]],[[2,1,1,1,2,1],[3,
1,1,-1,3,-1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,-1,2,-2,1,1]]],[[[1,-1],[1,1,2,1],[
3,1,2,1,4,1,3,1,4,-2]],[[2,1,1,-1,2,-1,1,1,2,-2,1,-1,2,1]]],[[[1,-1],[1,1,2,1,
3,1,2,1,1,-1,2,1,3,-1]],[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]],[[1,-1],[3,1,2,1,
1,1,2,1,1,-1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,-1,5,
-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],[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,
1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,1,-1,4,1,3,1]],[[1,1,2,1],[
1,1,2,-1,1,1,3,2,2,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-2,1,1,2,1]],[[1,1,2,1],[3,
2,1,-1,3,-1,2,-1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,3,1,2,-1,4,1]],[[1,
1,2,1],[3,1,1,-1,2,-2,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,-1,
2,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[2,1,1,-1,2,-2,1,1,2,
-1]],[[1,1,2,1],[3,2,2,1,1,-1,2,-1,1,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,1,2,
-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1],[1,1,2,-1,1,1,3,1,2,1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,1,-1,4,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,
1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,3,2,2,1,3,1]]],[[[1,-1],[3,1,2,-2,1,1,2,
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],[3,1,
4,-2,3,-1]],[[2,-2,1,1,2,1]]],[[[1,1,2,1],[3,3,2,1,1,-1]],[[2,1,1,1,2,-2,1,-1,
2,-1]]],[[[1,-1],[1,1,2,1,3,1,2,1,1,-1,2,1,3,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
1]]],[[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,-1,2,-1]],[[
1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1,1,-1,2,1,
1,1]],[[2,1,1,1,2,-2,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,1,-1]],[[
1,1,2,1],[2,1,3,1,1,1,2,-1,3,1]]],[[[2,-2,1,1,2,-1,1,1,2,1]],[[1,-1,2,1,1,-1,
2,1,1,1]]],[[[1,1,2,1],[3,2,1,-1,3,-1]],[[1,1,2,-2,1,-1,2,-2]]],[[[2,1,1,1],[
1,-1,2,1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,
1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,4,-1,2,1,4,1,3,-1,4,1]],[[1,-1,2,1,1,-1,2,1,
1,1,2,1,1,-1,2,-2]]],[[[1,-1],[2,1,1,-1,2,1,3,-1,2,1,1,1,2,1,3,1]],[[1,-1,2,1,
1,-1,2,1,1,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,-4]],[[
1,-1,2,-2,1,-1,2,1,1,-1]]],[[[1,1,2,-1,1,1,2,-2,1,-1,2,1,1,-1]],[[2,-2,1,1,2,
-2,1,1]],[[1,1,2,1],[3,2,2,1,3,1,1,-1]]],[[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,
1]],[[2,-2,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,-1,3,2],[4,1],[5,-3]],[[2,1,1,
-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,-1,1,1,2,-1,1,2,2,1,1,1]],[[1,1,2,1],[2,-1,3,
2],[1,1,2,-1,1,1,2,-1,1,1,2,-1,4,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[1,-1,2,1,
4,-1,3,1,4,1,3,1,2,1,3,1]],[[1,1,2,-1,1,-1,2,-1,1,1]],[[1,1,2,1],[1,-1,2,-1,1,
1,2,-1],[4,1,3,2,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,-1,2,1,3,2]],[[2,-2,1,
-1,2,-1,1,1,2,-2]],[[1,-1],[3,1,2,-2,1,1,2,-1,1,-1,2,-2,3,-1]]],[[[1,1,2,1],[
3,1,1,-1,2,1,1,-1,2,-2,1,1,3,-1]],[[1,-1],[2,1,1,-1,2,1,3,-1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[1,-1,2,1,3,1],[3,1,4,2,3,1]],[[2,1,1,-1,2,1,1,-1,2,-2,1,1,
2,-1]]],[[[1,-1],[2,1,1,-1,2,1],[4,1,3,-1,4,1,3,1]],[[1,-1],[2,1,1,1,2,1],[3,
1,4,-1,3,1,4,-1]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,-1]],[[1,1,2,-1,1,
-1,2,1,1,-1,2,1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,-1,2,1,3,2]],[[1,1,2,1],[1,-1,
2,-2,3,2,2,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,2,2,1]],[[1,-1],[3,1,2,-1,3,
-1,2,1,1,-1,2,1,3,-1]],[[1,-1],[3,1,1,1,2,-1,3,1,2,-2,1,1,2,1]]],[[[1,-1],[1,
1,2,1],[2,1,4,1,3,-1,4,2,3,1,2,1,1,-1]],[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,
-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,-1,2,1,3,2]],[[1,1,2,-2,1,-1]]],[[[1,-1],[
1,1,2,1],[4,1,1,1,2,-1,3,-1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,
-2,3,1]],[[1,-1],[1,1,2,1],[4,1,1,-1,2,-1,3,-1,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,
2,1],[1,-1,2,1,1,-1,2,-1,3,2]],[[1,1,2,-2,1,-1,2,1,1,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,-1,1,1]],[[1,1,2,1],[2,-2,3,2,1,-1,2,1,3,1]]],[[[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],[1,1,2,1],[
3,1,2,-1,4,1,3,-1,4,-1,2,-1,4,-1]],[[1,1,2,-2,1,-1,2,-2]],[[2,1,1,-1,2,1],[3,
1,1,1,3,1]]],[[[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]]],[[[1,-1],[2,1,1,-1,2,1,3,-1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,1,
1,1]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1,1,-1]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,
1,3,1]],[[1,1,2,1],[2,-1,3,2]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,2,1,3,1]],[[
1,-1],[1,1,2,1,3,1,2,1,1,-1,2,1,3,-1]],[[1,-1],[1,1,2,-1,3,1,2,1,1,1,2,1,3,
1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,-1,2,-1,3,-1]],[[1,1,2,1,1,-1,2,-1,1,-1,2,
1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1,1,-1,2,1,3,-1]],[[2,1,1,-1,2,-2,1,1,2,
-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,
1,2,1,3,1]],[[1,1,2,1,1,-1,2,1,1,-1,2,-1]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,-1,
2,1,3,1]],[[1,1,2,1,1,-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,2,1,-1,3,-1]]],[[[1,
-1],[3,1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[2,1,1,1],[3,1,2,-1,1,-1,2,1,3,-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,-1,2,1,3,1,
2,1,3,1,1,-1]]],[[[2,-2,1,1,2,-2]],[[2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,-1,2,
-1,1,-1,3,-2]],[[2,1,1,1,2,-2,1,-1,2,1]]],[[[1,1,2,-1,1,1,2,-2,1,-1,2,1,1,
-1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]],[[1,-1],[2,1,1,1],[3,1,4,1,2,-1,3,1,4,
1]]],[[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1]],[[
1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,1,2,-1,4,2,3,
-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,1]]],[[[1,-1],[3,1,2,-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],[3,3,2,1,1,
-1]],[[2,1,1,1,2,-1,1,-1,2,-1]]],[[[1,-1],[2,1,1,1,2,1,3,-1,2,1,1,-1,2,1,3,
1]],[[1,1,2,1],[3,3,2,1,1,-1]]],[[[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,-1,2,1,1,-1,2,1,3,1]],[[1,-1],[3,1,2,1,3,1,2,1,1,
-1,2,1]],[[1,-1],[3,1,2,1,1,1,2,-2,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,
-1,1,1,2,-1,3,1]],[[1,-1,2,-2,1,1,2,-1,1,-1,2,-2]]],[[[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],[3,1,1,-1,2,1,1,-1,2,-2,1,1,3,
-1]],[[1,-1],[2,1,1,-1,2,1,3,-1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[1,
-1,4,-1,3,2,4,1]]],[[[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],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,
-1]],[[2,1,1,1,2,1],[1,-1,3,-2]]],[[[1,1,2,1],[3,2,2,1,3,1,1,-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]],[[2,1,
1,1,2,1,1,1]],[[1,1,2,1],[2,-1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-2,1,1,2,1]],[[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]]],[[[
1,-1],[3,1,2,1,1,-1,2,-2,1,1,2,-1,3,-1]],[[1,-1,2,-1,1,-1,2,1,1,1]],[[1,1,2,
1],[3,2,1,-1,3,-1,2,-1]]],[[[1,-1],[1,1,2,-1,3,1,2,1,1,-1,2,1,3,1]],[[2,1,1,
-1,2,-1,1,1,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1,1,-1]],[[1,
-1,2,1,1,-1,2,1,1,1,2,-1]]],[[[2,-2,1,1,2,-2,1,-1,2,-1]],[[1,1,2,1,1,1,2,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-2,1,1,2,1]],[[1,-1,2,-1,1,-1,2,1,1,1]]],[[[1,-1,
2,-2,1,1]],[[2,1,1,1,2,1]],[[1,1,2,-2,1,-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,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,-1,
2,1,1,1,2,-2,3,1]],[[2,-1,1,1,2,1,1,1]]],[[[1,-1,2,1,1,-1,2,-2,1,-1,2,1,1,
-1]],[[1,1,2,-2,1,-1,2,-2,1,1]]],[[[2,1,1,1,2,-2,1,-1,2,-1]],[[2,1,1,-1,2,1,1,
1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,-1,1,1,2,1,1,-1,2,
1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,
-1],[1,1,2,1,3,1,2,-1,1,1,2,-1,3,-1]],[[2,-2,1,-1,2,-2,1,-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,-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,-1,3,-2]]],[[[2,1,1,1],[2,1,
3,-1,2,-1,1,-1,3,1,2,-1,1,-1]],[[2,1,1,1,2,1],[1,-1,3,-2]]],[[[2,-2,1,-1,2,-2,
1,-1]],[[2,1,1,1],[3,1,1,1,3,1,2,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1],[2,-2,3,3]]],[[[1,-1],[2,1,1,1,2,1,3,1,2,1,1,-1,2,-1,3,-1]],[[
2,-2,1,-1,2,-2,1,-1]],[[1,1,2,1],[3,-4]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,1,
1,1,2,1]],[[1,1,2,-2,1,-1]]],[[[2,1,1,1],[2,1,3,2,2,-1,1,1]],[[2,-2,1,-1,2,-2,
1,-1]]],[[[2,-2,1,-1,2,-2,1,-1]],[[1,-1,2,-2,1,-1,2,1,1,-1]]],[[[1,-1],[2,1,1,
-1,2,1],[3,1,4,-1,3,1,4,-1]],[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]]],[[[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],[3,1,2,1,1,1,2,-2,
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,-1,3,-1,2,-1,3,1]]],[[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]],[[
1,-1,2,-1,1,-1,2,-1,1,1,2,-1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-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,-1,1,1,2,1,1,
-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,-1,2,1]]],[[[1,-1],[3,1,2,1,3,1,2,1,1,-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],[3,1,2,1,3,1,2,1,1,-1,2,
1]]],[[[1,1,2,1,1,1,2,1]],[[2,1,1,-1,2,1,1,1]]],[[[1,1,2,-2,1,-1,2,1,1,-1]],[[
2,1,1,1,2,1,1,1]]],[[[1,-1],[2,1,1,1,2,1,3,1,2,1,1,-1,2,-1,3,-1]],[[1,-1],[1,
1,2,1,3,1,2,-1,1,1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1,3,1,2,-1,1,1,2,-1,3,-1]],[[
2,1,1,1],[3,1,1,1,3,1,2,-1]],[[2,-2,1,-1,2,-2,1,-1]]],[[[2,1,1,1],[2,1,3,2,2,
-1,1,1]],[[1,-1,2,-2,1,-1,2,1,1,-1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,1,1,1,
2,1]],[[2,1,1,-1,2,-1,1,1,2,-2,1,1,2,1]]],[[[2,1,1,1],[2,1,3,2,2,-1,1,1]],[[2,
1,1,1],[3,1,1,1,3,1,2,-1]]],[[[1,-1],[2,1,1,1,2,1,3,1,2,1,1,-1,2,-1,3,-1]],[[
2,1,1,1],[2,1,3,2,2,-1,1,1]]],[[[1,-1,2,-2,1,-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]],[[2,1,1,-1,2,1,1,1]],[[1,1,2,1,1,
1,2,1]]],[[[2,1,1,1],[2,1,3,2,2,-1,1,1]],[[2,1,1,1],[3,1,1,1,3,1,2,-1]],[[1,
-1,2,-2,1,-1,2,1,1,-1]]],[[[2,1,1,1,2,-2,1,-1,2,-1]],[[1,-1]],[[2,-2]]],[[[2,
1,1,1],[3,1,2,-1,1,-1,2,1,3,-1]],[[1,-1]],[[2,1,1,1,2,-2,1,1,2,1]]],[[[1,1,2,
1]],[[2,1,1,1]]],[[[2,-2,1,1,2,-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]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "S3xL2(8):3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,3,10],[1,2,3,4,11],[1,
3,4,12],[1,2,5,13],[1,4,5,14],[1,3,5,15],[1,2,6,16],[1,3,6,17],[1,4,6,18],[1,
2,8,19],[1,3,8,20],[1,4,7,21],[1,3,9,22],[1,4,8,23],[1,24],[1,3,10,25],[1,3,4,
10,12,26],[1,2,3,4,10,11,12,27],[1,6,8,28],[1,6,29],[1,5,6,7,30],[1,6,9,31],[
1,6,32],[1,6,33],[1,5,8,9,34],[1,6,35],[1,7,8,9,36],[1,3,5,10,15,37],[1,3,8,
10,38],[1,2,3,4,5,11,13,14,15,39],[1,3,9,10,40],[1,3,4,5,12,14,15,41],[1,2,3,
4,6,11,16,17,18,42],[1,2,3,4,8,11,19,20,23,43],[1,3,24,44],[1,4,24,45],[1,2,
24,46],[1,2,3,4,10,11,12,25,26,27,47],[1,2,5,6,7,13,16,30,48],[1,3,6,17,29,
49],[1,3,6,8,17,20,28,50],[1,2,5,8,9,13,19,34,51],[1,4,6,18,29,52],[1,2,6,16,
29,53],[1,4,5,6,7,14,18,21,30,54],[1,2,6,8,16,19,28,55],[1,3,5,6,7,15,17,30,
56],[1,3,6,9,17,22,31,57],[1,2,6,16,32,58],[1,4,6,18,33,59],[1,3,5,8,9,15,20,
22,34,60],[1,4,6,8,18,23,28,61],[1,4,5,8,9,14,23,34,62],[1,4,7,8,9,21,23,36,
63],[1,5,24,64],[1,8,24,65],[1,9,24,66],[1,3,5,10,15,25,37,67],[1,3,4,5,10,12,
14,15,26,37,41,68],[1,2,3,4,5,10,11,12,13,14,15,27,37,39,41,69],[1,3,8,10,20,
25,38,70],[1,3,9,10,22,25,40,71],[1,2,3,4,8,10,11,12,19,27,38,72],[1,3,4,8,10,
12,23,26,38,73],[1,5,6,7,29,30,33,74],[1,5,6,7,8,9,28,30,31,34,36,75],[1,6,8,
28,29,32,76],[1,6,9,29,31,35,77],[1,5,6,7,30,32,35,78],[1,6,8,28,33,35,79],[1,
6,9,31,32,33,35,80],[1,2,3,4,11,24,44,45,46,81],[1,3,5,8,9,10,15,34,37,38,40,
82],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,21,30,39,42,48,54,56,83],[1,2,3,4,6,
11,16,17,18,29,42,49,52,53,84],[1,2,3,4,5,8,9,11,13,14,15,19,20,22,23,34,39,
43,51,60,62,85],[1,2,3,4,6,8,11,16,17,18,19,20,23,28,42,43,50,55,61,86],[1,3,
5,15,24,44,64,87],[1,3,8,20,24,44,65,88],[1,2,5,13,24,46,64,89],[1,4,5,14,24,
45,64,90],[1,3,9,22,24,44,66,91],[1,4,8,23,24,45,65,92],[1,2,8,19,24,46,65,
93],[1,2,3,4,5,10,11,12,13,14,15,25,26,27,37,39,41,47,67,68,69,94],[1,2,3,4,8,
10,11,12,19,20,23,25,26,27,38,43,47,70,72,73,95],[1,3,5,6,7,15,17,29,30,33,49,
56,74,96],[1,4,5,6,7,14,18,21,29,30,33,52,54,59,74,97],[1,2,5,6,7,13,16,29,30,
33,48,53,74,98],[1,2,5,6,7,8,9,13,16,19,28,30,31,34,36,48,51,55,75,99],[1,3,6,
8,17,20,28,29,32,49,50,76,100],[1,2,5,6,7,13,16,30,32,35,48,58,78,101],[1,3,6,
9,17,22,29,31,35,49,57,77,102],[1,2,6,8,16,19,28,29,32,53,55,58,76,103],[1,4,
6,8,18,23,28,29,32,52,61,76,104],[1,4,5,6,7,8,9,14,18,21,23,28,30,31,34,36,54,
61,62,63,75,105],[1,3,5,6,7,8,9,15,17,20,22,28,30,31,34,36,50,56,57,60,75,
106],[1,4,6,8,18,23,28,33,35,59,61,79,107],[1,3,10,24,25,108],[1,5,8,9,24,34,
64,65,66,109],[1,2,3,4,5,8,9,10,11,12,13,14,15,19,27,34,37,38,39,40,41,51,69,
72,82,110],[1,3,4,5,8,9,10,12,14,15,23,26,34,37,38,40,41,62,68,73,82,111],[1,
3,5,8,9,10,15,20,22,25,34,37,38,40,60,67,70,71,82,112],[1,5,6,7,8,9,28,29,30,
31,32,33,34,35,36,74,75,76,77,78,79,80,113],[1,2,3,4,5,11,13,14,15,24,39,44,
45,46,64,81,87,89,90,114],[1,2,3,4,8,11,19,20,23,24,43,44,45,46,65,81,88,92,
93,115],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,21,29,30,33,39,42,48,49,52,53,54,
56,59,74,83,84,96,97,98,116],[1,2,3,4,6,8,11,16,17,18,19,20,23,28,29,32,42,43,
49,50,52,53,55,58,61,76,84,86,100,103,104,117],[1,2,3,4,5,6,7,8,9,11,13,14,15,
16,17,18,19,20,21,22,23,28,30,31,34,36,39,42,43,48,50,51,54,55,56,57,60,61,62,
63,75,83,85,86,99,105,106,118],[1,2,3,4,10,11,12,24,25,26,27,46,47,108,119],[
1,3,5,8,9,15,20,22,24,34,44,60,64,65,66,87,88,91,109,120],[1,4,5,8,9,14,23,24,
34,45,62,64,65,66,90,92,109,121],[1,2,5,8,9,13,19,24,34,46,51,64,65,66,89,93,
109,122],[1,2,3,4,5,8,9,10,11,12,13,14,15,19,20,22,23,25,26,27,34,37,38,39,40,
41,43,47,51,60,62,67,68,69,70,71,72,73,82,85,94,95,110,111,112,123],[1,3,5,6,
7,8,9,15,17,20,22,28,29,30,31,32,33,34,35,36,49,50,56,57,60,74,75,76,77,78,79,
80,96,100,102,106,113,124],[1,4,5,6,7,8,9,14,18,21,23,28,29,30,31,32,33,34,35,
36,52,54,59,61,62,63,74,75,76,77,78,79,80,97,104,105,107,113,125],[1,2,5,6,7,
8,9,13,16,19,28,29,30,31,32,33,34,35,36,48,51,53,55,58,74,75,76,77,78,79,80,
98,99,101,103,113,126],[1,3,5,10,15,24,25,37,64,67,108,127],[1,3,8,10,20,24,
25,38,65,70,108,128],[1,3,9,10,22,24,25,40,66,71,108,129],[1,2,3,4,5,8,9,11,
13,14,15,19,20,22,23,24,34,39,43,44,45,46,51,60,62,64,65,66,81,85,87,88,89,90,
91,92,93,109,114,115,120,121,122,130],[1,2,3,4,5,6,7,8,9,11,13,14,15,16,17,18,
19,20,21,22,23,28,29,30,31,32,33,34,35,36,39,42,43,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,74,75,76,77,78,79,80,83,84,85,86,96,97,98,99,100,101,102,
103,104,105,106,107,113,116,117,118,124,125,126,131],[1,2,3,4,5,10,11,12,13,
14,15,24,25,26,27,37,39,41,46,47,64,67,68,69,89,94,108,119,127,132],[1,2,3,4,
8,10,11,12,19,20,23,24,25,26,27,38,43,46,47,65,70,72,73,93,95,108,119,128,
133],[1,3,6,10,17,24,25,29,44,49,108,134],[1,3,5,8,9,10,15,20,22,24,25,34,37,
38,40,60,64,65,66,67,70,71,82,108,109,112,127,128,129,135],[1,2,3,4,6,10,11,
12,16,17,18,24,25,26,27,29,42,44,45,46,47,49,52,53,81,84,108,119,134,136],[1,
2,3,4,5,8,9,10,11,12,13,14,15,19,20,22,23,24,25,26,27,34,37,38,39,40,41,43,46,
47,51,60,62,64,65,66,67,68,69,70,71,72,73,82,85,89,93,94,95,108,109,110,111,
112,119,122,123,127,128,129,132,133,135,137],[1,3,6,8,10,17,20,24,25,28,29,32,
38,44,49,50,65,70,76,88,100,108,128,134,138],[1,3,5,6,7,10,15,17,24,25,29,30,
33,37,44,49,56,64,67,74,87,96,108,127,134,139],[1,3,6,9,10,17,22,24,25,29,31,
35,40,44,49,57,66,71,77,91,102,108,129,134,140],[1,2,3,4,5,6,7,10,11,12,13,14,
15,16,17,18,21,24,25,26,27,29,30,33,37,39,41,42,44,45,46,47,48,49,52,53,54,56,
59,64,67,68,69,74,81,83,84,87,89,90,94,96,97,98,108,114,116,119,127,132,134,
136,139,141],[1,2,3,4,6,8,10,11,12,16,17,18,19,20,23,24,25,26,27,28,29,32,38,
42,43,44,45,46,47,49,50,52,53,55,58,61,65,70,72,73,76,81,84,86,88,92,93,95,
100,103,104,108,115,117,119,128,133,134,136,138,142],[1,3,5,6,7,8,9,10,15,17,
20,22,24,25,28,29,30,31,32,33,34,35,36,37,38,40,44,49,50,56,57,60,64,65,66,67,
70,71,74,75,76,77,78,79,80,82,87,88,91,96,100,102,106,108,109,112,113,120,124,
127,128,129,134,135,138,139,140,143],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,1,
2,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,
1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,3,4,1,6,1],[1,1,3,3,1,
3,3,1],[1,1,3,1],[1,1,1],[1,1,1,2,1],[1,1,3,1],[1,1,1],[1,1,1],[1,1,1,2,1],[1,
1,1],[1,1,1,2,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,1],[
1,1,6,1,3,2,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,7,1,1],[1,7,1,
1],[1,1,1,1],[1,1,7,7,7,7,21,1,7,7,1],[1,3,1,1,2,1,3,1,1],[1,9,1,3,1,1],[1,3,
1,3,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,3,1,1],[1,1,1,1,1,1],[1,9,1,1,2,3,3,6,
1,1],[1,1,1,3,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,3,1,3,1,1],[1,1,1,1,1,1],[1,
9,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,
1,2,1,3,1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,7,7,1,7,1],[1,3,12,1,1,18,4,
3,3,1,6,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,7,4,7,4,1,1,1],[1,7,4,7,4,1,1,
1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,1,2,1,1,2,1],[1,1,1,2,
3,6,1,1,2,3,6,1],[1,1,3,1,1,2,1],[1,1,3,1,1,2,1],[1,1,1,2,1,1,2,1],[1,1,3,1,1,
2,1],[1,1,3,1,1,1,1,1],[1,1,7,7,7,1,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,3,
9,1,1,2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,1,9,9,1,9,1,3,3,1,3,1,1,1,1],[1,3,1,
3,1,1,2,3,1,1,1,3,1,2,3,1,1,3,1,1,1,1],[1,1,3,3,1,3,3,1,1,1,3,3,3,1,1,3,1,1,1,
1],[1,7,1,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,3,1,1,1,3,1,1],[1,21,1,7,1,3,1,1],[
1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,3,7,21,1,7,21,63,1,7,
7,1,21,21,7,7,21,3,1,7,7,1],[1,1,7,7,4,7,7,21,4,4,4,1,7,7,1,4,1,1,1,1,1],[1,9,
1,1,2,9,3,1,1,2,1,3,1,1],[1,27,1,1,2,9,9,18,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,
1,2,1,3,1,1],[1,3,1,1,2,3,6,1,3,9,1,1,2,3,6,1,3,3,1,1],[1,9,1,3,3,9,1,1,2,1,3,
1,1],[1,3,1,1,2,1,3,1,1,2,1,3,1,1],[1,9,1,3,3,9,1,1,2,1,3,1,1],[1,1,1,3,1,3,1,
1,2,1,1,2,1,1],[1,9,1,3,3,9,1,1,2,1,3,1,1],[1,9,1,1,2,3,6,3,3,6,9,1,1,2,3,6,1,
3,3,6,1,1],[1,3,1,1,2,3,6,3,1,3,6,1,1,2,3,6,1,1,2,3,1,1],[1,9,1,3,3,9,1,1,2,1,
3,1,1],[1,7,7,8,1,1],[1,1,7,14,1,7,1,1,2,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,
1,1,3,2,3,4,1,3,1,1],[1,3,12,1,4,8,1,18,4,3,12,3,4,1,1,2,6,4,1,3,1,1],[1,7,1,
4,8,7,7,4,8,1,4,7,1,2,4,1,1,2,1,1],[1,1,1,2,3,6,1,1,1,2,2,2,3,4,6,1,1,1,2,2,2,
4,1],[1,3,7,21,1,21,1,7,7,1,7,1,3,3,1,3,1,1,1,1],[1,1,7,7,7,7,7,7,7,1,7,1,1,1,
1,1,1,1,1,1],[1,3,9,27,1,1,2,27,1,9,9,3,3,9,18,1,1,2,9,9,1,1,3,3,3,3,6,1,3,3,
1,1,1,1],[1,1,9,9,1,3,9,1,3,3,3,9,9,1,1,2,3,9,1,3,1,1,1,2,3,1,1,3,1,1,1,1],[1,
3,3,9,1,1,2,3,6,9,1,3,3,3,1,3,9,3,6,6,9,1,1,2,3,6,3,3,9,1,1,3,1,3,1,2,3,3,3,6,
1,1,3,3,1,1,1,1],[1,1,7,7,7,7,21,8,1,7,7,8,1,1,1],[1,7,1,7,14,7,7,14,1,7,1,7,
1,1,2,1,1,2,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,1,2,1,3,1,1],[1,3,1,7,14,1,21,1,
7,3,7,1,1,2,1,3,1,1],[1,3,7,21,1,4,8,7,21,63,1,7,7,12,4,8,12,1,21,21,4,7,1,7,
2,21,12,3,4,4,4,1,7,7,1,2,3,3,1,4,1,3,1,1,1,1],[1,9,1,1,2,3,6,9,3,9,18,1,1,1,
2,2,2,3,4,6,1,3,3,6,9,1,1,1,2,2,2,4,1,1,2,3,1,1],[1,27,1,1,2,3,6,9,9,18,27,1,
1,1,2,2,2,3,4,6,3,3,6,9,9,18,1,1,1,2,2,2,4,1,3,3,6,1,1],[1,3,1,1,2,3,6,1,3,9,
1,1,1,2,2,2,3,4,6,1,3,3,3,6,1,1,1,2,2,2,4,1,1,2,3,1,1],[1,7,1,7,7,8,1,7,8,1,1,
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],[1,3,7,21,1,7,14,
21,1,7,7,21,7,14,21,1,7,7,21,1,3,3,7,7,7,1,1,2,3,7,1,1,1,1,2,3,3,1,1,3,1,1,1,
1],[1,3,9,27,1,1,2,3,6,27,1,9,9,3,3,9,9,9,18,18,27,1,1,1,2,2,2,3,4,6,9,9,27,1,
1,3,3,3,3,3,3,3,6,6,6,9,9,9,18,1,1,1,2,2,2,4,3,3,9,9,1,1,1,1,1,2,2,3,3,3,3,6,
1,1,3,3,1,1,1,1],[1,3,7,21,1,7,21,63,1,7,7,8,1,21,21,7,7,21,24,3,8,1,7,7,8,1,
1,3,1,1],[1,1,7,7,28,7,7,21,28,28,28,8,1,7,7,7,28,8,1,8,7,7,7,8,7,1,1,1,1],[1,
63,28,63,84,36,9,28,36,28,9,1],[1,7,1,28,56,7,7,28,56,8,1,28,7,7,14,28,8,8,16,
1,7,14,7,1,8,7,1,1,2,1],[1,1,63,63,28,63,63,189,28,84,84,36,9,63,63,28,84,36,
36,36,9,28,28,28,36,28,9,9,1,1],[1,3,7,21,1,28,56,7,21,63,1,7,7,84,28,56,84,8,
1,21,21,28,7,7,7,14,21,84,24,3,28,28,28,8,8,16,1,7,7,7,14,21,21,7,28,8,24,1,
21,1,8,7,7,7,3,8,7,1,1,2,1,3,1,1],[1,63,28,84,63,84,252,36,9,28,28,56,63,36,
28,84,36,63,28,36,28,9,9,1,1],[1,63,1,28,56,63,63,84,36,9,28,28,56,63,36,28,
84,36,9,28,36,28,9,9,1,1],[1,63,28,84,63,84,252,36,9,28,28,56,63,36,28,84,36,
63,28,36,28,9,9,1,1],[1,3,63,189,1,28,56,63,189,567,1,63,63,84,84,252,504,36,
9,189,189,28,28,56,63,63,189,252,36,108,108,27,28,28,84,84,84,84,168,36,9,63,
63,28,108,84,84,36,36,36,9,28,28,28,9,36,28,27,9,9,1,3,1,1],[1,1,63,63,28,84,
63,63,189,28,84,84,84,252,252,36,9,63,63,28,28,56,63,84,252,36,36,36,9,28,84,
28,28,28,56,84,36,63,63,63,28,36,28,84,36,36,36,63,28,28,28,9,36,28,9,9,9,1,1,
1,1],[1,63,1,28,56,84,168,63,63,84,252,504,36,9,28,28,28,56,56,56,84,112,168,
63,63,126,36,28,84,84,168,252,36,36,72,9,63,126,28,28,28,56,56,56,112,63,36,
36,72,28,28,56,84,9,36,63,28,36,28,9,9,18,1,9,1,1,2,1],[1,3,63,189,1,28,56,84,
168,63,189,567,1,63,63,84,84,252,252,252,504,504,756,36,9,189,189,28,28,28,56,
56,56,84,112,168,63,63,63,126,189,252,756,36,108,108,27,28,28,84,84,84,84,84,
84,84,168,168,168,252,252,252,504,36,36,72,9,63,63,63,126,189,189,28,28,28,56,
56,56,112,108,63,84,84,252,252,36,36,36,36,72,108,108,9,189,28,28,28,28,28,56,
56,84,84,84,84,168,9,36,63,63,63,28,36,108,28,84,84,27,36,36,36,63,28,28,28,9,
9,18,36,28,9,27,1,9,3,9,1,1,2,1,3,1,1]],
[1,2,2,2,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,9,9,9,9,9,9,9,9,9,12,
12,12,12,12,12,12,14,14,14,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
21,21,21,24,24,24,24,24,24,24,27,27,27,27,27,27,27,28,36,36,36,36,36,42,42,42,
42,42,42,42,48,48,54,54,54,54,54,54,54,54,54,54,54,54,56,63,72,72,72,81,84,84,
108,108,108,112,126,126,126,144,162,162,162,168,168,168,252,324,336,336,504,
504,1008,1008,1512,1512,1512,3024,3024,4536,9072],
[144,142,123,95,144,131,125,118,106,123,95,47,144,123,123,117,118,86,86,85,63,
60,43,130,137,95,95,131,131,131,124,126,125,118,113,105,123,123,123,112,94,86,
43,130,115,115,133,131,131,118,118,117,117,118,117,118,106,103,107,85,86,85,
63,130,130,120,137,123,123,123,112,95,95,131,131,131,124,126,125,113,115,123,
118,117,85,86,130,130,130,130,120,115,115,137,95,131,131,131,131,131,126,124,
117,117,118,118,107,137,130,123,123,123,131,130,115,131,117,118,133,130,130,
130,123,131,131,131,137,137,135,130,131,137,133,144,137,142,137,144,144,143,
144,142,144,144],
[1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,6,6,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,
5,10,5,6,1,24,24,1,1,5,29,6,5,29,1,30,1,6,6,1,33,1,6,5,7,1,24,24,1,5,5,10,10,
10,10,1,1,6,6,1,6,6,24,10,30,29,5,6,24,24,5,64,24,24,24,5,10,29,74,5,5,29,5,
29,6,29,30,6,33,25,24,37,37,10,6,64,24,74,29,30,25,24,64,64,37,29,74,30,25,
108,108,64,74,67,108,134,108,134,127,134,134,134,139,134,134,139],
[( 1, 2)( 3, 5)( 4, 7)( 6, 10)( 8, 12)( 9, 13)( 11, 16)( 14, 20)
( 15, 21)( 17, 24)( 18, 25)( 19, 27)( 22, 31)( 23, 32)( 26, 36)( 28, 38)
( 29, 37)( 30, 40)( 33, 44)( 34, 45)( 35, 47)( 39, 43)( 41, 52)( 42, 53)
( 46, 57)( 48, 59)( 49, 60)( 50, 62)( 51, 63)( 54, 61)( 55, 67)( 56, 69)
( 58, 72)( 64, 77)( 66, 79)( 68, 81)( 70, 83)( 71, 84)( 73, 87)( 74, 78)
( 75, 89)( 76, 91)( 80, 85)( 82, 95)( 86, 93)( 90,100)( 92,101)( 94, 98)
( 96,104)( 97,105)(102,106)(103,107),( 1, 3, 6)( 2, 4, 8)( 5, 9, 14)
( 7, 11, 17)( 10, 15, 22)( 12, 18, 26)( 13, 19, 28)( 16, 23, 33)( 20, 29, 39)
( 21, 30, 41)( 24, 34, 46)( 25, 35, 48)( 27, 37, 50)( 31, 42, 38)( 32, 43, 54)
( 36, 49, 61)( 40, 51, 64)( 44, 55, 68)( 45, 56, 70)( 47, 58, 73)( 52, 65, 78)
( 53, 66, 60)( 57, 71, 85)( 59, 74, 88)( 62, 75, 90)( 63, 76, 92)( 67, 80, 93)
( 69, 82, 96)( 72, 86, 97)( 77, 89, 99)( 79, 87, 98)( 81, 94,102)( 83, 95,103)
( 84, 91,100)(101,104,105)(106,108,107)],
[[[[]]],[[[1,1,2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1],[2,-1,4,1,5,-1,3,-1,2,-1,4,1,
5,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,1,1,2,1,1,1,2,1,1,1],[5,1,4,-1,5,1,4,
1]]],[[[1,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-2,5,1,4,-1,1,
1,3,-2,2,-1],[1,1,2,1],[1,1,2,-1],[7,1,1,1,2,1,1,1],[2,-1,8,1,9,-1,7,-1,2,-1,
8,1,9,-1],[6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,
-1],[2,-1],[1,1,2,1,1,1,2,1,1,1],[3,1,5,1,4,-1,3,1,5,-1,4,-1]]],[[[1,1,2,-1],[
3,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[
3,1,1,1,2,1,1,1],[5,1,6,1,4,-1,5,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,
1],[3,1,1,1,2,1,1,1],[5,1,4,1,6,-1,5,-1,4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,1,1,1,4,1,5,-1,2,-1,5,1,3,2,4,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[5,1,3,1,2,1,4,-2,5,1,4,-1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,1,2,1,3,2,4,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1],[4,1,2,1,1,1,
2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-2,5,1,4,-1,1,1,3,
-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,1,1,2,1,1,1],[2,-1,4,1,5,-1,3,-1,2,-1,4,
1,5,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,4,2,3,1,4,1,3,1,1,1,2,1,1,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,1,4,-1]]],[[[2,1,1,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,6,1,5,1,1,1,3,-1,4,1,6,1]],[[1,1,2,1],[2,
1,3,1],[3,1,1,1,2,1,1,1,2,1,1,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,1,1,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,
1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,1,1,1,3,-2,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,1,
1,2,1,1,1,3,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,-2]]],[[[2,1,1,1],[3,2,2,-1,
1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1],[6,1,5,-1,3,-1,6,-1,4,-1,5,1,3,1,1,1,4,1,2,1,6,1]],[[1,1,2,1],[1,1,2,
-1],[2,1,3,1],[3,1,1,1,2,1,1,1],[5,1,6,-1,4,-1,5,1,6,1,4,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[3,1,4,-2,5,1,6,-1,2,-1,3,1,1,1,4,1,5,-1,6,1]]],[[[
1,1,2,1],[1,1,2,-1],[2,-1],[5,1,3,1,1,1,2,1,1,1,4,-1,5,1,4,2,3,1]],[[1,1,2,1,
1,1,2,1,1,1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
3,2,4,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-2,5,
1,4,-1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,3,-1,2,1,1,1,2,1,3,1]],[[
1,1,2,1],[2,1,3,1],[3,1,1,1,2,1,1,1,2,1,1,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,3,1,1,1,4,1,5,-1,2,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,2,4,1,5,-2,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,-1],[2,-1],[1,1,2,1,1,
1,2,1,1,1],[3,1,5,-1,4,-1,3,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,2,3,-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],[2,1,1,1],[3,1,4,-2,3,2,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,3,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,5,1,4,-1]],[[
2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,1,2,1,4,-2,3,1,4,-2,5,1]],[[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],[4,2,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-1,5,1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[3,1,4,-2,5,1,3,2,4,1,5,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1],[4,1,2,1,
1,1,2,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,
6,1,5,1,1,1,3,-1,4,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,1,1,3,-1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,2,1,3,1,4,1,3,-2,5,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,1,1,3,-1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,1,2,
-1],[3,2,2,1,1,1],[5,1,4,-1,3,-1,2,1,4,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,1,1,
2,1,1,1,2,1,1,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,1,1,
4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,
2,1],[1,1,2,-1],[2,1,3,1],[3,2,2,1,1,1],[4,1,6,1,5,-1,6,1,4,-1,5,1]],[[1,1,2,
1],[2,1,3,1],[3,1,1,1,2,1,1,1,2,1,1,1],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,1,3,2]],[[2,1,1,1],[1,1,2,
1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,4,-1,5,1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,
1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,2,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,
1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,1,1,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,1,3,-1,4,1,3,-1,5,-2]],[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,
1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,
3,-1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,4,-1,3,3]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
2,3,-1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1],[2,1,3,
-1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-2,2,-1,
4,-1]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,
1,4,-2,5,1,4,-1,1,1,3,-1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,1,1,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[1,
1,2,-1],[2,-1],[5,1,3,1,1,1,2,1,1,1,4,-1,5,1,4,2,3,1]],[[1,1,2,1,1,1,2,1,1,
1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,
-1,5,1,3,1,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,4,-2,5,2,4,-1,1,
1,3,-1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,2,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,2,3,1,1,1,2,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,
1]]],[[[1,1,2,-1],[2,-1],[1,1,2,1,1,1,2,1,1,1],[3,1,5,-1,4,-1,3,1,5,1,4,
-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],[3,1,5,
-1,4,-1,3,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-2,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,
3,-1,4,1,3,-2,2,-1]],[[1,1,2,1],[2,-1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[1,1,2,
-1],[4,2,3,2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-2,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,-1,3,1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1,1,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,1,1,2,-1,3,1,1,1,4,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1],[4,1,2,1,1,1,2,-1,4,
1]]],[[[1,1,2,1],[2,1,3,1],[4,2,3,1,1,1,2,-1]],[[1,1,2,1,1,1]]],[[[1,1,2,1],[
2,-1,3,2,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,1,1,4,1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,
3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-2,2,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,3,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,2,1,1,
1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,
5,-1]],[[2,1,1,1],[2,1,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,
-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,3]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,4,-2,5,1,4,-1,1,1,3,-1,2,
1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-1,
3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,1,3,2]],[[1,
1,2,1],[3,2,2,1,1,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,1,3,-1,1,1,2,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,1,1,4,1,2,1,4,1,3,-1,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,
1],[2,1,3,2,2,1,1,1,3,1,2,1,3,-1,1,1,2,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,
2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,1,1,2,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,1,1,3,
-1]],[[1,1,2,-1],[2,-1,3,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,
4,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-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],[2,1,1,1],[
4,1,2,1,4,-1,3,3]],[[2,1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,
3,-2,2,-1,4,2,3,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,3]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,1,4,
-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,
3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1,2,-1,
1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[
1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1,1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,2,2,1,1,1,4,1,2,1,3,2]],[[1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,-1,3,1,1,1,2,-1,3,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[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],[2,1,1,1],[1,1,
2,-1,3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,-2]]],[[[
1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1,1,1]],[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,1,1,3,-1,
2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-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]],[[2,-1,1,
1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-1,3,1,1,1,4,1]],[[
1,1,2,1],[2,-1,1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,
1,4,1,2,1,3,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,
-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]]],[[[2,1,1,1],[2,1,3,2,
2,1,1,1,3,1,2,1,3,-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],[2,1,1,1,3,-2,2,-1,3,2]],[[1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-3,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,1,4,-1]]],[[[
1,1,2,-1],[3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,1,2,-1,1,1],[4,1,3,1,
4,1,3,1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,
1],[4,2,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-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],[2,1,1,1,3,
-2,2,-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],[
2,1,1,1],[3,1,4,-3,3,1,4,-1,2,-1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,1,
1,2,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,
1,2,1,3,-3,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,-1,1,1,2,
-1,1,1,2,-1,3,2]],[[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],[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]],[[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,-1,1,1,2,
-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]]]]);
LIBTOM( "A4xS5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,10],[1,4,11],[1,3,4,
12],[1,4,13],[1,2,3,5,14],[1,2,5,15],[1,6,16],[1,4,6,17],[1,4,5,18],[1,4,19],[
1,2,6,20],[1,2,4,6,21],[1,5,6,22],[1,3,5,6,23],[1,24],[1,3,8,25],[1,4,8,26],[
1,3,8,27],[1,2,8,28],[1,6,8,29],[1,5,8,30],[1,5,8,31],[1,3,7,32],[1,4,7,33],[
1,3,9,34],[1,2,3,5,10,14,15,35],[1,2,4,6,11,17,21,36],[1,2,4,6,10,20,21,37],[
1,3,4,11,12,13,38],[1,2,4,6,16,17,20,21,39],[1,4,5,6,17,18,19,40],[1,2,3,4,5,
6,12,14,18,21,23,41],[1,2,4,6,19,21,42],[1,2,4,5,6,15,18,21,22,43],[1,4,5,11,
18,19,44],[1,4,5,6,17,18,19,45],[1,4,5,6,13,17,18,46],[1,3,4,6,12,17,19,47],[
1,2,4,6,13,19,21,48],[1,2,3,5,6,14,15,20,22,23,49],[1,7,8,9,50],[1,4,24,51],[
1,6,24,52],[1,2,24,53],[1,2,7,10,54],[1,4,8,11,55],[1,2,8,10,28,56],[1,3,4,8,
12,25,26,27,57],[1,2,9,10,58],[1,4,7,11,33,59],[1,2,3,5,8,14,25,28,31,60],[1,
2,6,8,20,28,29,61],[1,2,5,8,15,28,30,62],[1,2,4,6,8,21,26,28,29,63],[1,2,5,8,
15,28,31,64],[1,5,6,8,22,29,30,31,65],[1,2,3,5,8,14,27,28,30,66],[1,3,5,6,8,
23,27,29,31,67],[1,4,5,8,18,26,30,31,68],[1,5,6,8,22,29,30,31,69],[1,3,5,6,8,
23,25,29,30,70],[1,4,9,11,71],[1,3,4,7,12,32,33,72],[1,4,7,13,33,73],[1,6,9,
16,74],[1,7,24,75],[1,2,4,6,10,11,16,17,20,21,36,37,39,76],[1,2,4,6,10,13,19,
20,21,37,42,48,77],[1,2,3,4,5,6,10,12,14,15,18,20,21,22,23,35,37,41,43,49,
78],[1,2,4,5,6,13,15,16,17,18,19,20,21,22,39,40,43,45,46,48,79],[1,2,3,4,5,6,
12,14,16,17,18,19,20,21,23,39,40,41,42,45,47,80],[1,2,3,4,5,6,11,12,13,14,17,
18,19,21,23,36,38,41,44,46,47,48,81],[1,2,4,5,6,11,15,17,18,19,21,22,36,40,42,
43,44,45,82],[1,4,7,8,9,26,33,50,83],[1,3,7,8,9,27,32,34,50,84],[1,3,7,8,9,25,
32,50,85],[1,2,10,24,53,86],[1,4,13,24,51,87],[1,2,4,6,21,24,51,52,53,88],[1,
2,6,20,24,52,53,89],[1,4,19,24,51,90],[1,3,4,8,11,12,13,25,38,55,91],[1,2,3,5,
8,10,14,15,27,28,30,35,56,62,66,92],[1,2,3,5,7,10,14,15,32,35,54,93],[1,2,4,6,
8,10,20,21,26,28,29,37,56,61,63,94],[1,2,3,5,8,10,14,15,25,28,31,35,56,60,64,
95],[1,2,4,6,8,11,17,21,28,36,55,96],[1,4,5,8,11,18,19,31,44,55,97],[1,2,4,6,
7,10,20,21,33,37,54,98],[1,2,3,5,9,10,14,15,34,35,58,99],[1,2,3,5,6,8,14,15,
20,22,23,27,28,29,30,31,49,61,64,65,66,67,69,100],[1,2,4,5,6,8,15,18,21,22,26,
28,29,30,31,43,62,63,64,65,68,69,101],[1,2,3,5,6,8,14,15,20,22,23,25,28,29,30,
31,49,60,61,62,65,69,70,102],[1,2,3,4,5,6,8,12,14,18,21,23,25,26,27,28,29,30,
31,41,57,60,63,66,67,68,70,103],[1,3,4,7,11,12,13,32,33,38,59,72,73,104],[1,4,
7,24,33,51,75,105],[1,2,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,76,77,78,79,80,81,82,106],[1,2,7,8,
9,10,28,50,54,56,58,107],[1,4,7,8,9,11,33,50,55,59,71,108],[1,3,4,7,8,9,12,25,
26,27,32,33,34,50,57,72,83,84,85,109],[1,2,4,6,10,20,21,24,37,51,52,53,86,88,
89,110],[1,2,4,6,19,21,24,42,51,52,53,88,90,111],[1,2,4,6,13,19,21,24,48,51,
52,53,87,88,90,112],[1,2,4,6,7,10,11,16,17,20,21,33,36,37,39,54,59,76,98,
113],[1,2,4,6,8,10,11,16,17,20,21,28,36,37,39,55,56,76,96,114],[1,2,3,4,5,6,8,
10,12,14,15,18,20,21,22,23,25,26,27,28,29,30,31,35,37,41,43,49,56,57,60,61,62,
63,64,65,66,67,68,69,70,78,92,94,95,100,101,102,103,115],[1,2,4,6,9,10,11,16,
17,20,21,36,37,39,58,71,74,76,116],[1,2,4,5,6,8,11,15,17,18,19,21,22,28,31,36,
40,42,43,44,45,55,64,82,96,97,117],[1,2,3,4,5,6,7,10,12,14,15,18,20,21,22,23,
32,33,35,37,41,43,49,54,72,78,93,98,118],[1,2,4,6,7,10,13,19,20,21,33,37,42,
48,54,73,77,98,119],[1,2,3,4,5,6,8,11,12,13,14,17,18,19,21,23,25,28,31,36,38,
41,44,46,47,48,55,60,81,91,96,97,120],[1,4,8,11,24,26,51,55,121],[1,2,7,10,24,
53,54,75,86,122],[1,4,7,13,24,33,51,73,75,87,105,123],[1,2,4,6,7,8,9,10,20,21,
26,28,29,33,37,50,54,56,58,61,63,83,94,98,107,124],[1,2,3,5,7,8,9,10,14,15,25,
28,31,32,35,50,54,56,58,60,64,85,93,95,107,125],[1,2,3,5,7,8,9,10,14,15,27,28,
30,32,34,35,50,54,56,58,62,66,84,92,93,99,107,126],[1,3,4,7,8,9,11,12,13,25,
32,33,38,50,55,59,71,72,73,85,91,104,108,127],[1,2,4,6,10,13,19,20,21,24,37,
42,48,51,52,53,77,86,87,88,89,90,110,111,112,128],[1,2,3,4,5,6,8,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,25,28,31,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,55,56,60,64,76,77,78,79,80,81,82,91,95,96,97,106,114,117,120,129],[1,2,
3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,32,33,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,54,59,72,73,76,77,78,79,80,81,82,93,98,104,106,113,
118,119,130],[1,3,4,8,11,12,13,24,25,26,27,38,51,55,57,87,91,121,131],[1,4,5,
8,11,18,19,24,26,30,31,44,51,55,68,90,97,121,132],[1,2,4,6,8,11,17,21,24,26,
28,29,36,51,52,53,55,63,88,96,121,133],[1,2,4,6,7,10,20,21,24,33,37,51,52,53,
54,75,86,88,89,98,105,110,122,134],[1,2,4,6,7,8,9,10,11,16,17,20,21,28,33,36,
37,39,50,54,55,56,58,59,71,74,76,96,98,107,108,113,114,116,135],[1,2,3,4,5,6,
7,8,9,10,12,14,15,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,41,43,49,
50,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,72,78,83,84,85,92,93,94,95,98,
99,100,101,102,103,107,109,115,118,124,125,126,136],[1,4,7,8,9,11,24,26,33,50,
51,55,59,71,75,83,105,108,121,137],[1,2,4,6,8,10,11,16,17,20,21,24,26,28,29,
36,37,39,51,52,53,55,56,61,63,76,86,88,89,94,96,110,114,121,133,138],[1,2,4,5,
6,8,11,15,17,18,19,21,22,24,26,28,29,30,31,36,40,42,43,44,45,51,52,53,55,62,
63,64,65,68,69,82,88,90,96,97,101,111,117,121,132,133,139],[1,2,3,4,5,6,8,11,
12,13,14,17,18,19,21,23,24,25,26,27,28,29,30,31,36,38,41,44,46,47,48,51,52,53,
55,57,60,63,66,67,68,70,81,87,88,90,91,96,97,103,112,120,121,131,132,133,
140],[1,2,4,6,7,10,13,19,20,21,24,33,37,42,48,51,52,53,54,73,75,77,86,87,88,
89,90,98,105,110,111,112,119,122,123,128,134,141],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,25,28,31,32,33,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,54,55,56,58,59,60,64,71,72,73,74,76,77,78,79,80,81,82,85,91,
93,95,96,97,98,104,106,107,108,113,114,116,117,118,119,120,125,127,129,130,
135,142],[1,3,4,7,8,9,11,12,13,24,25,26,27,32,33,34,38,50,51,55,57,59,71,72,
73,75,83,84,85,87,91,104,105,108,109,121,123,127,131,137,143],[1,2,3,4,5,6,8,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,60,61,62,63,64,65,66,67,68,
69,70,76,77,78,79,80,81,82,86,87,88,89,90,91,92,94,95,96,97,100,101,102,103,
106,110,111,112,114,115,117,120,121,128,129,131,132,133,138,139,140,144],[1,2,
4,6,7,8,9,10,11,16,17,20,21,24,26,28,29,33,36,37,39,50,51,52,53,54,55,56,58,
59,61,63,71,74,75,76,83,86,88,89,94,96,98,105,107,108,110,113,114,116,121,122,
124,133,134,135,137,138,145],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,2,1,
1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,
1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,
1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,3,1,3,
3,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,2,3,1,1,1,1],[1,1,1,5,2,2,2,1,1],[
1,1,2,2,1,1,1,1],[1,1,2,1,2,1,1,2,1,1,2,1],[1,1,1,1,2,1,1],[1,1,1,4,1,2,2,1,2,
1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,
1,1,1,1,1,1],[1,1,1,3,2,1,1,1,2,2,1],[1,1,1,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,
1,1,3,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,
3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[
1,3,4,1,1],[1,2,1,1,1,2,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,1,1],[1,3,3,9,1,1,
6,9,9,9,3,3,9,1],[1,3,1,3,1,1,3,3,3,1,3,3,1],[1,3,2,1,6,3,1,1,6,6,3,3,3,6,6,2,
1,3,3,6,1],[1,1,1,4,5,1,2,2,2,2,1,2,1,2,1,1,1,1,2,1,1],[1,1,2,1,2,5,1,2,2,2,1,
2,2,1,2,1,1,1,1,1,2,1],[1,1,2,3,2,3,1,1,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,3,
4,3,1,2,3,2,2,3,2,1,1,1,1,2,1,1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,
3,1,1,2,1,3,1,1],[1,3,1,1,3,1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,10,5,
1,2,1,1],[1,5,5,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,1,3,1,1,3,3,1,3,3,1,1,3,3,
1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,
9,1,3,3,3,1,3,3,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,
4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,1,7,6,1,1,3,3,6,6,1,1,2,1,2,3,
1,1,1,1,2,1,1],[1,1,3,8,3,1,4,6,3,6,1,1,1,2,2,3,1,1,1,1,2,1,1],[1,1,3,5,6,1,3,
1,3,6,6,1,1,2,2,1,3,1,1,1,1,1,2,1],[1,1,4,3,4,3,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,
1,1,1,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,5,1,1,5,1,1,1],[1,3,2,3,6,9,1,
1,1,1,6,6,6,9,3,3,9,9,6,6,2,3,3,1,9,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,3,
4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,4,3,1,1,2,3,1,1,1,4,3,2,1,1,
3,1,1,1,1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,1,5,5,10,5,1,5,1,1,1,1,2,
1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,
1],[1,3,3,9,4,1,1,6,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,4,3,12,9,1,1,3,12,12,9,9,9,
18,18,1,1,1,3,3,3,3,4,3,9,9,18,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[
1,3,3,9,16,1,1,6,9,9,9,3,3,9,4,4,12,1,1],[1,1,3,12,3,4,1,6,3,6,6,3,6,4,8,1,3,
3,3,6,3,1,4,3,1,2,1],[1,3,2,1,6,3,4,1,1,6,6,3,3,3,6,6,8,4,2,1,3,3,6,1,4,1,2,1,
1],[1,3,1,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,6,3,6,3,4,1,3,3,6,3,3,3,3,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,
1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,
3,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,1,3,4,1,8,
1,3,3,1,3,3,4,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,6,3,1,4,8,1,3,3,4,6,3,3,4,1,1,2,
3,3,4,1,3,1,1],[1,3,5,15,1,5,15,15,15,1,5,15,15,1,3,3,5,1,1,3,3,3,1,3,3,1],[1,
3,6,3,18,9,4,1,1,3,3,18,18,6,9,9,9,9,9,18,18,4,12,12,6,3,3,3,9,9,9,9,9,9,9,9,
9,9,18,1,4,12,12,1,3,3,9,9,9,9,1,4,3,3,3,1,3,3,1],[1,3,2,3,6,9,4,1,1,1,1,6,6,
6,9,3,3,9,9,6,6,8,12,2,3,3,1,9,3,3,3,3,3,3,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,2,3,
4,1,1,1,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,3,3,9,
4,4,32,1,1,6,9,9,9,12,12,3,3,9,16,1,1,4,8,4,8,24,1,3,3,4,4,1,1,2,1],[1,3,4,3,
12,9,4,1,8,1,3,12,12,9,9,9,18,18,1,1,1,3,3,3,3,16,12,8,4,3,9,9,18,4,1,1,1,2,3,
3,3,3,3,3,3,3,3,3,3,12,3,4,4,4,1,4,1,1,3,2,3,3,3,3,1,4,1,3,1,1,1,1],[1,15,1,
10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,3,15,45,10,1,5,30,45,45,45,6,10,
30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,1,15,20,15,10,
5,10,15,30,30,15,30,6,10,10,10,20,20,5,15,15,15,30,15,6,6,6,5,10,10,10,10,20,
10,15,6,12,5,10,10,6,5,1,2,1,1],[1,1,10,15,10,15,10,5,15,15,10,15,15,15,15,30,
6,10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,
6,6,5,5,5,10,6,5,1,1,1,1,1],[1,3,5,15,4,1,5,15,15,15,1,20,5,15,15,1,3,3,1,20,
4,5,1,1,3,3,3,5,4,1,3,3,5,1,4,1,1,1],[1,3,6,3,18,9,4,4,32,1,1,3,3,18,18,6,9,9,
9,9,9,18,18,4,12,12,24,12,6,3,3,3,9,9,9,9,9,9,9,9,9,9,18,16,1,1,4,8,4,12,12,8,
12,12,24,1,3,3,9,9,9,9,16,1,6,4,3,3,3,12,3,4,4,1,1,2,3,3,3,3,4,4,1,3,1,1],[1,
10,15,1,10,20,5,15,15,6,10,10,10,10,15,20,15,10,6,5,10,5,10,15,15,6,10,10,10,
6,5,15,6,5,10,1,6,5,1,1,1],[1,3,10,15,30,45,10,1,5,15,15,30,30,30,45,45,45,45,
45,90,90,6,10,10,10,30,30,30,30,10,15,15,15,45,45,45,45,45,45,45,45,45,45,90,
6,18,18,5,10,10,30,30,30,30,30,30,30,30,30,30,30,5,15,15,45,45,45,45,6,6,18,
18,18,5,10,10,10,15,15,30,30,30,30,15,6,18,18,5,10,15,15,1,6,5,1,3,3,1,3,3,
1],[1,3,15,45,4,10,80,1,5,30,45,45,45,6,10,30,30,60,15,15,45,40,6,18,18,1,5,
10,20,20,30,30,40,120,24,5,40,6,18,18,10,15,15,24,10,20,6,5,5,10,1,6,10,3,6,5,
4,1,1],[1,3,10,15,30,45,4,10,80,1,5,15,15,30,30,30,45,45,45,45,45,90,90,6,10,
10,10,30,30,30,30,40,60,80,10,15,15,15,45,45,45,45,45,45,45,45,45,45,90,40,6,
18,18,1,5,10,10,20,20,30,30,30,30,30,30,30,30,30,30,30,40,60,60,120,24,5,15,
15,45,45,45,45,40,40,40,6,6,18,18,18,5,10,10,10,10,15,15,15,20,30,30,30,30,60,
24,15,10,20,40,6,18,18,5,5,10,10,15,15,15,15,1,6,24,10,10,10,20,6,5,15,1,3,3,
6,5,10,4,1,3,3,6,5,4,1,1,1]],
[1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,15,16,16,16,16,16,16,16,18,18,18,20,20,20,20,20,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,30,32,36,36,36,40,40,40,48,48,48,48,48,48,48,48,
60,60,60,72,72,72,72,80,96,96,120,120,120,120,144,144,180,240,240,240,240,288,
360,480,720,1440],
[146,144,136,130,115,106,143,136,84,146,142,130,130,115,115,116,106,106,106,
106,106,78,78,141,136,136,136,115,115,115,115,109,104,84,136,129,130,130,106,
106,106,106,106,106,106,106,106,106,78,109,141,128,128,146,142,136,136,126,
127,115,115,115,115,115,115,115,115,115,115,115,108,104,104,74,123,142,130,
130,106,106,106,106,109,109,109,141,141,128,128,128,142,136,136,136,136,129,
129,130,126,115,115,115,115,104,123,130,136,127,109,141,128,128,142,142,136,
135,129,130,130,129,146,141,123,136,136,136,127,141,142,130,146,144,144,141,
142,136,143,146,144,144,141,142,143,146,146,146],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,1,1,8,1,8,1,1,1,1,1,1,4,
1,4,1,1,1,4,4,4,4,1,1,1,24,24,1,10,11,1,8,10,1,8,8,1,8,8,8,1,8,8,8,8,11,1,1,
16,1,1,1,1,4,4,4,4,8,1,8,1,24,24,24,24,55,1,10,8,8,11,55,10,10,8,8,8,8,4,24,4,
10,11,8,24,24,24,10,11,8,76,55,10,10,55,121,10,24,56,56,10,55,24,55,37,121,
121,121,86,76,56,121,121,121,121,86,114,121,121,138,138],
[( 1, 2, 4, 8,15)( 3, 6)( 5,10,16,25, 9,17,24,32,23,30)( 7,13,18,27,33,12,11,
20,26,19)(22,28,35,36,29)(31,34),( 1, 3, 7,14,23,31)( 2, 5,11, 4, 9,18)
( 6,12,21,25,34,36)( 8,16,26,15,24,33)(10,19,28,32,27,35)(13,22,30,20,29,17)],
[[[[]]],[[[1,2],[3,2,1,1]]],[[[2,-3]]],[[[1,1,2,-1,1,-2,2,1,1,1]]],[[[1,1,2,2,
1,-1,2,1]]],[[[1,1,2,-1,1,1,2,1]]],[[[2,2]]],[[[1,2,2,1,1,2,2,-1]]],[[[1,1,2,
-1,1,-1,2,-1]]],[[[1,2],[2,1,1,1,3,2,2,-1]],[[1,2],[3,2,1,1]]],[[[1,2],[3,2,2,
1,3,2,2,-1]],[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[2,2,3,-1,2,1,3,
1]],[[1,1,2,-3,1,-1]]],[[[1,2],[2,-3,3,2]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[1,
2],[3,2,1,1]]],[[[2,1,1,1,2,2,1,-1]],[[1,1,2,2,1,-1,2,1]]],[[[1,2],[2,1,1,1,2,
-1,3,-2]],[[1,2],[1,1,2,1,3,1,2,-1,3,1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[2,
1,1,1,2,1,1,1,2,-2]]],[[[1,2],[1,1,2,2,3,1,2,1,3,1]],[[1,1,2,1],[1,2,2,1,3,
2]]],[[[2,2,1,1,2,1]]],[[[1,2],[3,1,2,-1,1,-1,2,1,3,1]],[[1,2],[3,2,1,1]]],[[[
1,2],[1,1,2,1,3,1,2,-1,3,1]],[[1,2],[3,2,1,1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,
1]],[[1,1,2,-1,1,-1,2,-2]]],[[[1,1,2,1],[1,2,2,1,3,2]],[[1,2],[1,1,2,1,3,1,2,
-1,3,1]]],[[[1,2]]],[[[1,2],[3,2,2,1,3,-2,2,-1]],[[2,-3]]],[[[1,2],[3,2,2,1,3,
-2,2,-1]],[[2,1,1,2,2,-1,1,-2]]],[[[1,1,2,-3,1,1]]],[[[1,1,2,-1,1,-1,2,
1]]],[[[1,2],[3,2,2,1,3,-2,2,-1]],[[1,2],[3,1,2,-1,3,1,2,1,1,1]]],[[[1,1,2,
1],[3,2,2,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,2]],[[2,1,1,-1,2,1,1,1,2,1]]],[[[2,
-1]]],[[[1,1,2,1,1,1,2,1]]],[[[2,1,1,2]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[1,2],[
3,2,1,1]],[[1,2],[2,1,1,1,3,2,2,-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[1,2],[
3,2,1,1]],[[2,1,1,1,2,1,1,1,2,-2]]],[[[1,2],[2,1,1,1,3,2,2,-1]],[[1,2],[3,2,1,
1]],[[1,2],[1,1,2,1,3,1,2,-1,3,1]]],[[[1,2],[3,2,2,1,3,2,2,-1]],[[1,1,2,-3,1,
-1]]],[[[1,2],[2,1,1,1,2,-1,3,-2]],[[1,2],[3,2,1,1]],[[1,2],[1,1,2,1,3,1,2,-1,
3,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,-2]],[[2,1,1,1,2,1,1,1,2,-2]]],[[[1,2],[1,1,
2,1,3,1,2,-1,3,1]],[[1,1,2,-3,1,-1]],[[1,2],[3,2,1,1]]],[[[1,1,2,-1,1,-2,2,-1,
1,-1,2,-1]],[[1,2],[3,2,1,1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[1,1,2,-1,1,
-1,2,-2]],[[1,2],[3,2,1,1]]],[[[1,2],[3,2,2,1,3,2,2,-1]],[[1,1,2,1],[1,2,2,1,
3,2]]],[[[1,1,2,-1],[1,2,3,-1,2,1,3,-1]],[[2,1,1,1,2,1,1,1,2,-2]]],[[[2,1,1,1,
2,1,1,1,2,-2]],[[2,1,1,-1,2,1,1,1,2,1]]],[[[1,2],[2,2,3,1,2,1,3,-1]],[[2,1,1,
1,2,1,1,1,2,-2]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,1,1,2,-1]],[[1,2],[3,2,1,
1]]],[[[1,2],[2,1,1,1,3,1,2,-1,3,1]],[[1,1,2,2,1,-1,2,1]],[[2,1,1,1,2,2,1,
-1]]],[[[1,1,2,1],[3,1,2,2,3,1,1,2]],[[2,-2]]],[[[1,2],[1,1,2,1],[3,1,4,1,3,
-1,4,-1]],[[2,1,1,-2,2,-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[2,1,1,-2,2,
-1]]],[[[1,1]]],[[[1,1,2,2,1,-1]],[[2,-2]]],[[[1,2],[2,1,3,2,2,-1,3,1]],[[1,2,
2,1,1,2,2,-1]]],[[[1,1,2,1,1,1,2,-1,1,2]],[[1,2],[3,2,1,1]]],[[[1,2],[2,2,3,
-1,2,1,3,1]],[[2,-3]],[[1,1,2,-3,1,-1]]],[[[1,2],[3,2,1,1]],[[2,1,1,1,2,1,1,
-2]]],[[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[2,1,1,1,2,-3,1,1]]],[[[2,1,1,
-1,2,1,1,1,2,1]],[[2,-3]]],[[[1,2],[3,1,2,-1,3,1,1,1,2,1]],[[2,2,1,-1,2,-1,1,
1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,-2]],[[2,2,1,-1,2,-1,1,1,2,-1]]],[[[2,1,
1,2,2,-1,1,-2]],[[2,2,1,-1,2,-1,1,1,2,-1]]],[[[2,2,1,-1,2,1,1,1]],[[2,1,1,1,2,
2,1,-1]]],[[[1,2],[1,1,2,2,3,1,2,1,3,1]],[[1,1,2,2,1,-1,2,1]],[[1,1,2,-1,1,-1,
2,-2]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[1,2],[2,1,3,-2,2,-1,1,-1]]],[[[1,1,2,
1],[2,1,3,1,1,-2,3,1]],[[1,2],[1,1,2,1,3,1,2,-1,3,1]]],[[[1,2],[1,1,2,2,3,1,2,
1,3,1]],[[1,1,2,1],[1,2,2,1,3,2]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]]],[[[1,1,2,
1],[3,1,1,-2,3,1,2,1]],[[1,2],[2,1,1,1,3,1,2,-1,3,1]]],[[[1,2],[1,1,2,1,3,1,2,
-1,3,1]],[[2,-3]]],[[[1,2],[2,1,3,1],[4,2,3,1]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[
2,2,3,-1,2,1,3,1]],[[2,-2]],[[1,1,2,-3,1,-1]]],[[[1,1,2,-1]]],[[[1,2],[1,1,2,
1,3,1,2,-1,3,1]],[[1,1,2,-1,1,-2,2,-1]]],[[[2,1,1,1,2,1]]],[[[1,2],[2,1,1,1,3,
2,2,-1]],[[1,2],[3,2,1,1]],[[2,1,1,1,2,1,1,1,2,-2]],[[1,2],[1,1,2,1,3,1,2,-1,
3,1]]],[[[1,1,2,-1,1,-2,2,-1,1,-1,2,-1]],[[1,2],[3,2,1,1]],[[1,2],[2,1,1,1,3,
2,2,-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[1,1,2,-1,1,-1,2,-2]],[[1,1,2,-3,1,
-1]],[[1,2],[3,2,1,1]]],[[[1,2],[2,1,1,1,2,-1,3,-2]],[[1,1,2,-1,1,-1,2,-2]],[[
1,2],[3,2,1,1]]],[[[1,2],[2,1,1,1,2,-1,3,-2]],[[1,1,2,-3,1,-1]],[[1,2],[3,2,1,
1]]],[[[2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,-3,1,-1]],[[1,2],[3,2,1,1]]],[[[1,2],[
1,1,2,1,3,1,2,-1,3,1]],[[2,1,1,1,2,2]],[[2,2,1,-1,2,1]]],[[[1,1,2,1],[3,1,2,2,
3,1,1,2]],[[2,1,1,2,2,1,1,-2]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[2,-2]],[[2,1,1,
1,2,-3,1,-1]]],[[[1,2],[3,2,2,-1,3,-2]],[[2,1]]],[[[1,2],[3,2,1,1]],[[2,1,1,1,
2,-1]]],[[[1,1,2,-3,1,3]],[[2,1,1,-2,2,-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,
1]],[[2,1,1,-2,2,-1]],[[1,2],[3,2,1,1]]],[[[1,1,2,1,1,-1,2,-1,1,-2]],[[2,1,1,
-2,2,-1]],[[1,2],[3,2,1,1]]],[[[1,1,2,-3,1,-2]],[[2,1,1,-2,2,-1]]],[[[1,2],[2,
2,3,2,2,1]],[[1,1,2,-3,1,-1]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[1,1,2,-1,1,-1,2,
1]],[[2,1,1,1,2,-1,1,-1]]],[[[1,2],[3,1,1,1,2,1,3,1]],[[2,-2]]],[[[2,1,1,2,2,
-1,1,-2]],[[1,2],[3,2,1,1]],[[1,1,2,1,1,1,2,-1,1,2]]],[[[2,1,1,-1,2,1,1,1,2,
1]],[[2,-3]],[[1,1,2,2,1,-1,2,1]]],[[[1,2,2,1,1,2,2,-1]],[[1,1,2,1,1,-2,2,
-1]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[2,-3,1,1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,
1]],[[2,-2]]],[[[1,2],[2,2,3,-1,2,1,3,1]],[[1,1,2,-1,1,-1,2,-1]],[[1,2],[3,2,
1,1]]],[[[1,2],[2,1,1,1,3,1,2,-1,3,1]],[[1,1,2,-1,1,-1,2,-2]],[[2,1,1,1,2,2,1,
-1]]],[[[2,1,1,2,2,-1,1,-2]],[[2,1,1,1,2,2,1,-1]],[[2,2,1,-1,2,1,1,1]]],[[[1,
2],[3,1,2,-1,3,1,1,1,2,1]],[[2,-3]],[[2,1,1,-1,2,1,1,1,2,1]]],[[[1,2],[1,1,2,
1,3,1,2,-1,3,1]],[[2,-3]],[[1,2],[3,2,1,1]]],[[[2,1,1,1,2,-3,1,1]],[[1,1,2,-3,
1,-1]]],[[[1,2,2,1,1,1,2,-3,1,-1]],[[2,1,1,-2,2,-1]]],[[[2,1,1,1,2,1,1,1,2,
-2]],[[1,1,2,-1,1,-1,2,-2]],[[1,1,2,-3,1,-1]],[[1,2],[3,2,1,1]]],[[[2,1,1,-1,
2,1,1,1]],[[2,-2]]],[[[2,1,1,1,2,-3,1,1]],[[1,2,2,1,1,2,2,-1]]],[[[1,2],[2,1,
3,-1,2,1,3,1]],[[1,1,2,-3,1,-1]]],[[[1,1,2,1,1,-1,2,-1,1,-2]],[[2,1,1,1,2,
-1]],[[1,2],[3,2,1,1]]],[[[2,2,1,-1,2,1,1,2]],[[2,1,1,-2,2,-1]],[[1,2],[3,2,1,
1]]],[[[1,1,2,-3,1,-2]],[[2,1,1,-2,2,-1]],[[1,2],[3,2,1,1]]],[[[1,2],[1,1,2,1,
3,1,2,-1,3,1]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,-1,2,-1,1,2]],[[1,1,2,1,1,-2,2,
-1]]],[[[1,2],[1,1,2,1,3,1,2,-1,3,1]],[[2,-3]],[[1,1,2,-1,1,-1,2,1]],[[2,1,1,
1,2,-1,1,-1]]],[[[1,2],[3,2,1,1]],[[2,1,1,-1,2,1,1,2]],[[1,1,2,-1,1,-2,2,
-1]]],[[[1,1,2,1,1,-2,2,-1]],[[2,1,1,1,2,2]]],[[[1,2],[3,1,1,1,2,1,3,1]],[[1,
1,2,1,1,-1]]],[[[1,1,2,1],[2,1,3,1,1,2,3,-1]],[[1,1,2,2,1,-1]]],[[[1,1,2,1,1,
-2,2,-1]],[[2,-3,1,1]]],[[[2,1,1,-2,2,-1]],[[1,2]]],[[[2,1,1,1,2,1]],[[2,
-2]]],[[[1,2],[3,2,2,1,3,1]],[[2,1,1,-2,2,-1]]],[[[2,1,1,2,2,1,1,-2]],[[2,1,1,
-1,2,1,1,1]]],[[[1,-1,2,1,1,1]],[[2,1]]],[[[1,2],[3,1,1,1,2,1,3,1]],[[1,1,2,
-1,1,-1,2,1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[2,1,3,-2]]],[[[1,1,2,-3,1,
-2]],[[2,1,1,1,2,-1]],[[1,2],[3,2,1,1]]],[[[1,1,2,1,1,-2,2,-1]],[[2,1,1,1,2,
2]],[[2,-3,1,1]]],[[[2,1,1,1,2,1,1,1]],[[1,1,2,1,1,-1]]],[[[2,-3]],[[1,
2]]],[[[1,1,2,-3]],[[1,2]]],[[[2,1,1,-2,2,-1]],[[1,1]]],[[[1,1,2,-1,1,-1,2,-1,
1,-2]],[[2,1,1,1,2,1]]],[[[1,1,2,1,1,-2,2,-1]],[[2,1,1,1,2,1,1,1]]],[[[1,2],[
2,1,3,-1,2,1,3,1]],[[1,1,2,1,1,-1]]],[[[2,1,1,-2,2,-1]],[[1,2]],[[2,-2]]],[[[
2,1,1,1,2,-1]],[[1,1]]],[[[2,2,1,1,2,1]],[[1,1]]],[[[2,-3]],[[1,1]]],[[[1,1,2,
-1,1,-2]],[[2,1,1,1,2,1]]],[[[1,1,2,1,1,-1]],[[2,1,1,1]]],[[[1,2]],[[2,
1]]],[[[2,-3]],[[1,1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1,2,1]],[[1,1]]],[[[1,1]],[[
2,1]]]]);
AFLT( "2^4`A8", "Co3", [1,2,3,2,5,5,9,7,8,11,9,8,9,11,9,10,8,11,13,18,19,23,16,16,
24,23,26,27,32,27,33,36,39,40,35,28,42,43,39,34,27,31,27,35,30,29,37,43,47,45,
39,38,48,34,36,42,44,41,30,41,41,38,49,39,44,46,37,40,28,45,31,49,45,39,46,41,
45,54,59,69,69,69,86,68,69,86,69,69,73,67,88,80,76,84,78,67,77,73,91,93,94,94,
106,96,99,98,103,97,99,106,95,125,107,123,102,124,101,112,100,111,126,96,151,
123,161,133,104,109,161,132,161,107,124,103,108,114,152,116,125,110,103,105,
143,116,120,133,126,137,154,162,110,113,142,104,132,150,121,164,153,131,162,
127,119,138,151,114,125,163,130,140,109,156,115,129,162,102,155,141,152,122,
145,158,117,128,134,164,154,118,127,133,143,108,115,149,155,166,163,147,113,
169,121,129,161,139,142,157,144,125,159,135,146,122,168,136,153,156,148,132,
165,113,109,160,167,149,125,135,169,145,162,136,132,134,161,128,139,172,195,
190,208,216,231,224,242,233,222,262,245,244,234,224,242,223,242,242,243,239,
261,266,234,238,245,234,234,233,252,256,238,234,234,296,298,315,310,331,331,
325,315,331,327,340,335,299,320,336,319,311,344,326,342,337,317,325,300,301,
303,363,384,390,385,316,333,310,314,338,333,312,364,333,318,391,403,361,345,
383,297,329,335,341,323,311,319,328,353,402,324,326,352,330,339,343,393,320,
307,336,305,337,358,340,301,392,359,303,313,373,328,419,428,314,412,334,363,
372,345,364,369,418,334,385,408,420,354,420,340,388,418,404,371,312,341,400,
339,407,413,402,317,419,362,389,355,419,302,396,332,411,338,346,352,395,321,
368,367,387,347,382,399,398,397,334,365,362,417,406,361,416,403,386,405,420,
353,360,428,309,374,322,306,370,421,349,366,348,351,428,394,418,401,362,422,
304,380,375,365,355,415,378,371,339,398,354,381,426,409,427,428,410,424,406,
428,429,395,382,388,389,331,330,333,367,356,397,399,421,350,396,423,413,376,
377,425,422,308,366,379,357,414,309,400,420,426,429,461,442,433,436,461,487,
488,488,488,521,529,521,529,529,502,516,532,560,512,505,501,492,539,517,508,
518,538,507,565,537,515,506,494,514,542,508,541,519,561,494,538,530,517,565,
537,565,537,537,500,533,495,560,564,646,645,649,650,650,657,663,665,665,674,
673,664,668,660,661,668,676,666,674,681,682,678,693,692,706,712,684,715,677,
671,669,667,691,690,702,709,700,707,711,714,662,704,724,670,723,689,772,762,
766,687,700,781,748,701,675,704,774,771,767,712,776,713,755,787,772,711,708,
685,733,750,698,680,686,697,782,758,763,683,749,710,779,732,695,764,772,768,
694,696,757,705,672,756,735,706,754,688,753,681,761,716,717,702,679,730,780,
765,703,786,775,734,783,699,667,731,778,798,782,797,800,748,790,779,801,741,
788,795,773,789,745,705,746,773,738,725,796,799,689,777,680,736,713,793,793,
726,724,803,720,783,805,759,723,763,802,781,776,681,701,804,704,791,784,703,
744,733,721,727,794,739,775,793,743,699,773,732,719,728,718,760,723,768,758,
792,752,792,737,742,770,724,771,751,785,787,740,717,769,792,755,747,729,751,
744,722,741,752,835,848,829,829,825,852,923,930,883,882,922,933,937,942,929,
939,942,883,930,924,942,940,949,939,969,937,908,947,937,916,929,935,907,906,
962,963,920,946,898,904,921,899,964,917,957,948,958,963,962,963,907,918,1037,
1036,1044,1046,1045,1061,1062,1065,1063,1070,1077,1063,1081,1071,1079,1068,
1089,1114,1113,1102,1090,1116,1112,1085,1084,1088,1103,1099,1115,1104,1100,
1075,1101,1093,1094,1083,1082,1098,1066,1073,1078,1111,1097,1074,1148,1144,
1114,1151,1099,1106,1159,1091,1137,1152,1096,1135,1107,1077,1139,1127,1117,
1125,1108,1132,1109,1128,1142,1095,1141,1123,1149,1161,1083,1072,1155,1145,
1097,1101,1118,1115,1121,1119,1147,1122,1064,1160,1131,1140,1154,1069,1129,
1134,1105,1076,1138,1124,1136,1117,1158,1067,1080,1156,1092,1130,1088,1087,
1110,1153,1126,1133,1086,1146,1117,1128,1145,1150,1108,1157,1149,1120,1153,
1160,1159,1143,1162,1162,1163,1165,1164,1162,1166,1166,1204,1207,1277,1279,
1275,1280,1281,1283,1283,1295,1299,1299,1299,1295,1324,1320,1313,1309,1297,
1304,1303,1310,1293,1298,1302,1325,1305,1311,1294,1306,1335,1326,1314,1319,
1286,1312,1359,1359,1360,1319,1363,1359,1360,1365,1312,1296,1360,1367,1303,
1313,1369,1368,1306,1324,1349,1370,1350,1436,1466,1468,1473,1467,1495,1483,
1490,1500,1493,1501,1481,1471,1475,1486,1469,1502,1499,1496,1498,1487,1488,
1491,1494,1492,1480,1474,1478,1470,1482,1497,1489,1477,1472,1476,1479,1504,
1484,1507,1510,1474,1508,1509,1511,1486,1505,1512,1485,1503,1481,1491,1506,
1514,1518,1526,1514,1539,1595,1597,1598,1596,1601,1604,1609,1616,1612,1620,
1622,1616,1627,1645,1660,1646,1640,1635,1638,1622,1664,1621,1661,1662,1639,
1651,1631,1647,1644,1615,1636,1633,1637,1628,1630,1650,1648,1626,1649,1624,
1650,1636,1667,1639,1666,1667,1641,1667,1708,1710,1765,1766,1768,1769,1775,
1774,1772,1770,1776,1771,1767,1779,1777,1773,1778,1788,1792,1788,1791,1790,
1865,1864,1865,1873,1878,1882,1875,1879,1874,1872,1879,1873,1884,1883,1890,
1887,1892,1888,1889,1902,1903,1904,1905,1906,1948,1957,1959,1958,1967,1958,
1995,1993,1994,2049,2050,2052,2062,2068,2063,2055,2058,2056,2059,2054,2060,
2061,2056,2074,2075,2116,2125,2133,2140,2141,2143,2142,2139,2144,2183,2185,
2182,2244,2246,2245,2261,2262,2319,2327,2328,2376,2377,2419,2462]);
AFLT( "2xM12", "Co3", [1,3,3,3,2,3,5,6,10,11,9,10,7,8,11,8,8,9,11,11,10,11,10,13,
24,25,14,20,18,19,16,16,25,25,20,20,23,24,27,28,32,28,35,28,30,29,33,38,42,42,
44,28,37,44,37,39,36,35,38,31,31,45,47,38,41,45,45,42,40,30,38,48,30,43,41,49,
37,37,43,44,44,49,46,30,44,46,29,45,40,54,50,56,59,61,61,63,61,63,63,64,87,75,
68,69,70,78,77,71,87,75,81,81,81,81,81,81,75,81,87,73,77,88,80,78,95,96,101,
100,108,97,133,112,124,115,131,114,111,152,107,120,125,153,115,119,104,130,
123,132,153,116,126,151,163,128,157,168,131,164,149,128,128,158,121,134,141,
130,128,120,136,148,169,131,144,160,134,119,149,134,146,147,134,122,159,169,
140,130,165,135,167,105,136,133,135,166,199,172,176,170,198,175,202,191,190,
195,185,196,194,212,208,208,207,212,212,210,211,211,208,211,218,225,264,263,
243,234,235,232,233,224,242,222,246,235,234,235,231,244,244,246,246,247,245,
264,263,243,263,264,266,278,316,330,324,303,305,328,363,388,312,321,369,322,
365,326,368,400,309,392,373,389,397,401,314,307,364,365,399,401,383,404,374,
384,405,391,398,414,381,380,313,379,378,409,410,415,306,449,450,431,430,432,
433,434,435,463,436,442,471,444,448,470,472,477,479,479,479,478,478,478,522,
509,507,541,539,532,541,512,542,543,542,540,531,506,537,543,543,540,517,518,
515,540,533,627,622,628,582,605,621,581,644,647,650,649,651,675,670,760,731,
735,770,734,769,744,741,746,759,742,745,743,808,806,816,834,824,807,821,833,
820,823,817,814,815,809,825,843,844,850,822,837,836,853,925,926,931,941,927,
928,883,938,949,934,935,948,994,1024,1022,1017,1033,1032,1023,1035,1041,1043,
1047,1043,1047,1047,1043,1042,1049,1048,1045,1046,1044,1051,1157,1168,1169,
1199,1175,1170,1171,1172,1196,1198,1173,1197,1177,1176,1174,1205,1312,1364,
1321,1366,1308,1302,1362,1307,1311,1361,1379,1381,1423,1437,1435,1438,1437,
1438,1437,1438,1440,1439,1532,1533,1600,1599,1632,1637,1673,1671,1672,1682,
1681,1670,1709,1829,1828,1843,1845,1835,1834,1836,1840,1846,1847,1839,1844,
1833,1838,1842,1841,1900,1899,1991,1992,2004,2000,2006,2008,2014,2009,2011,
2005,2010,2007,2002,2015,2003,2001,2146,2145,2306,2305,2359,2360,2442,2457]);
AFLT( "S3xL2(8):3", "Co3", [1,2,3,3,6,4,6,5,6,10,11,10,14,20,25,22,15,17,23,24,20,
25,24,26,29,29,30,51,57,55,55,57,58,56,58,56,87,68,75,71,81,79,88,89,90,91,97,
187,203,183,194,204,206,179,200,193,193,206,205,202,189,196,196,215,216,217,
225,263,264,243,247,245,243,287,273,281,289,288,284,290,291,463,443,474,472,
469,481,482,486,485,483,484,487,509,533,633,602,631,616,635,632,634,643,637,
600,617,640,645,659,837,836,850,862,876,877,1029,1034,1010,1037,1060,1058,
1059,1205,1272,1227,1256,1278,1275,1276,1464,1589,1591,1596,1763,1764,1946,
1947,2046,2048,2047,2180,2181,2242,2318]);
AFLT( "A4xS5", "Co3", [1,3,3,2,3,3,5,6,6,10,9,11,7,10,10,10,11,11,8,10,11,10,10,
13,20,14,25,25,20,25,20,24,23,25,29,28,30,40,30,42,30,38,30,45,44,43,44,37,29,
56,59,61,63,68,70,87,75,71,86,81,81,87,75,81,81,87,81,75,81,81,70,88,84,71,93,
95,105,97,131,130,128,134,194,202,196,210,207,211,212,208,232,225,243,264,263,
246,235,245,247,263,264,263,264,261,296,313,463,462,472,477,478,479,530,531,
509,489,543,533,561,540,647,652,656,837,836,850,849,853,934,958,1041,1043,
1047,1055,1167,1205,1282,1435,1438,1437,1446,1527,1607,1709,1854,2018]);
#############################################################################
#############################################################################
##
#E