GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmlino.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmlino.tom,v 4.2 2001/07/05 07:02:06 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the tables of marks of linear groups $Lp(q) where
## p doesn't equal $2$.
##
#H tomlib history
#H --------------
#H $Log: tmlino.tom,v $
#H Revision 4.2 2001/07/05 07:02:06 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmlino.tom,v
#H Working file: tmlino.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:51:44; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 13:03:32; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tmlino_tom :=
"@(#)$Id: tmlino.tom,v 4.2 2001/07/05 07:02:06 gap Exp $";
SetActualLibFileName("tmlino");
LIBTOM( "L3(4)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,2,10],[1,
2,11],[1,2,12],[1,2,13],[1,14],[1,2,3,15],[1,16],[1,2,5,11,17],[1,2,6,11,18],[
1,2,7,11,12,13,19],[1,2,4,11,20],[1,2,8,9,10,11,21],[1,2,4,8,13,22],[1,2,6,10,
12,23],[1,2,5,7,9,24],[1,2,4,5,6,25],[1,3,26],[1,2,14,27],[1,2,3,8,28],[1,2,3,
12,29],[1,2,3,10,30],[1,2,3,13,31],[1,2,3,7,32],[1,2,3,9,33],[1,2,3,11,34],[1,
2,8,9,10,11,21,35],[1,2,7,11,12,13,19,36],[1,2,4,11,20,37],[1,2,6,11,18,38],[
1,2,5,11,17,39],[1,2,4,6,8,9,10,11,18,20,21,40],[1,2,5,6,7,11,12,13,17,18,19,
41],[1,2,4,6,7,11,12,13,18,19,20,42],[1,2,4,5,8,9,10,11,17,20,21,43],[1,2,4,7,
8,9,10,11,12,13,19,20,21,22,44],[1,2,5,6,8,9,10,11,17,18,21,45],[1,2,5,7,8,9,
10,11,12,13,17,19,21,24,46],[1,2,4,5,6,11,17,18,20,25,47],[1,2,6,7,8,9,10,11,
12,13,18,19,21,23,48],[1,2,4,5,7,11,12,13,17,19,20,49],[1,2,3,15,26,50],[1,3,
16,51],[1,2,3,6,10,12,15,23,29,52],[1,2,3,4,8,13,15,22,31,53],[1,2,3,4,8,13,
15,22,28,54],[1,2,3,5,7,9,15,24,33,55],[1,2,3,6,10,12,15,23,30,56],[1,2,3,5,7,
9,15,24,32,57],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,22,25,37,40,42,43,
44,47,49,58],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,35,40,43,44,
45,46,48,59],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,23,25,38,40,41,42,45,
47,48,60],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,36,41,42,44,46,
48,49,61],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,24,25,39,41,43,45,46,47,
49,62],[1,2,3,5,15,26,50,63],[1,2,3,6,15,26,50,64],[1,2,3,4,15,26,50,65],[1,2,
3,8,9,10,11,21,28,30,33,34,35,66],[1,2,3,7,11,12,13,19,29,31,32,34,36,67],[1,
2,3,5,11,17,34,39,68],[1,2,3,6,11,18,34,38,69],[1,2,3,4,11,20,34,37,70],[1,2,
3,13,14,15,27,31,71],[1,2,3,11,14,15,27,34,72],[1,2,3,7,14,15,27,32,73],[1,2,
3,12,14,15,27,29,74],[1,2,3,8,14,15,27,28,75],[1,2,3,10,14,15,27,30,76],[1,2,
3,9,14,15,27,33,77],[1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,25,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,58,59,60,61,62,78],[1,2,3,4,5,6,
15,25,26,50,63,64,65,79],[1,2,7,11,12,13,14,19,36,80],[1,2,8,9,10,11,14,21,35,
81],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,28,30,33,34,35,
40,43,44,45,46,48,54,55,56,59,66,82],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,
19,20,21,22,23,24,29,31,32,34,36,41,42,44,46,48,49,52,53,57,61,67,83],[1,2,4,
5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,27,36,41,42,44,46,48,49,61,
80,84],[1,2,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,27,35,40,43,44,
45,46,48,59,81,85],[1,2,3,6,10,12,15,16,23,29,30,51,52,56,86],[1,2,3,4,8,13,
15,16,22,28,31,51,53,54,87],[1,2,3,5,7,9,15,16,24,32,33,51,55,57,88],[1,2,3,4,
5,6,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,58,59,60,61,62,66,67,68,69,70,78,89],[
1,2,3,5,7,9,14,15,24,26,27,32,33,50,55,57,63,73,77,90],[1,2,3,6,10,12,14,15,
23,26,27,29,30,50,52,56,64,74,76,91],[1,2,3,4,8,13,14,15,22,26,27,28,31,50,53,
54,65,71,75,92],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,
25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,54,55,
56,58,59,60,61,62,66,67,68,69,70,71,72,73,74,78,81,82,85,89,93],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,57,58,59,60,61,62,66,67,68,69,
70,72,75,76,77,78,80,83,84,89,94],[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]],
0,
[[1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,
1],[1,3,1],[1,3,1],[1,1],[1,3,1,1],[1,1],[1,3,2,1,1],[1,3,2,1,1],[1,7,2,1,2,2,
1],[1,3,2,1,1],[1,7,2,2,2,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,1,
1,1,1,1],[1,4,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,15,10,10,10,5,15,1],[1,15,10,5,10,10,15,
1],[1,3,6,1,3,1],[1,3,6,1,3,1],[1,3,6,1,3,1],[1,7,2,2,2,2,2,1,1,1,1,1],[1,7,2,
2,2,1,2,2,1,1,1,1],[1,7,2,2,2,1,2,2,1,1,1,1],[1,7,2,2,2,2,2,1,1,1,1,1],[1,11,
2,2,2,2,2,1,2,2,1,1,1,4,1],[1,7,2,2,2,2,2,1,1,1,1,1],[1,11,2,2,2,2,2,1,2,2,1,
1,1,4,1],[1,3,2,2,2,1,1,1,1,4,1],[1,11,2,2,2,2,2,1,2,2,1,1,1,4,1],[1,7,2,2,2,
1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,7,1,1],[1,9,4,3,3,1,4,3,1,1],[1,9,4,3,3,1,4,
3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,3,1,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,
4,3,1,3,4,3,1,1],[1,11,6,2,2,2,2,2,2,1,2,2,1,1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,
19,2,2,2,2,10,10,10,5,2,2,1,1,1,1,15,4,4,4,1,1,1,1,1,1,1,1],[1,11,2,2,6,2,2,2,
2,1,2,2,1,3,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,19,2,2,2,10,2,2,2,5,10,10,1,1,15,1,
1,4,4,4,1,1,1,1,1,1,1,1],[1,11,2,6,2,2,2,2,2,1,2,2,3,1,1,1,1,4,4,1,1,1,1,1,1,
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],[1,15,16,10,10,
10,5,15,4,4,4,8,1,1],[1,15,16,10,5,10,10,15,4,4,4,8,1,1],[1,3,16,6,1,3,4,1,
1],[1,3,16,6,1,3,4,1,1],[1,3,16,6,1,3,4,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,
5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,27,6,6,6,10,10,10,10,9,
10,10,3,3,15,3,15,12,12,12,12,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,9,
4,9,9,9,12,9,1,1,1,1,1,1],[1,15,10,5,10,10,16,15,1,1],[1,15,10,10,10,5,16,15,
1,1],[1,27,16,6,6,6,6,10,10,10,5,6,6,16,3,3,3,3,15,12,12,12,4,4,4,8,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,27,16,6,6,6,10,6,6,6,5,10,10,16,3,3,15,3,3,12,12,12,4,4,4,
8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,35,10,10,10,10,10,10,10,5,10,10,16,5,5,15,5,5,
20,20,20,16,1,5,5,5,5,5,5,5,1,1],[1,35,10,10,10,10,10,10,10,5,10,10,16,5,5,5,
5,15,20,20,20,16,1,5,5,5,5,5,5,5,1,1],[1,21,28,21,7,7,28,8,21,7,7,8,7,7,1],[1,
21,28,21,7,7,28,8,21,7,7,8,7,7,1],[1,21,28,21,7,7,28,8,21,7,7,8,7,7,1],[1,27,
64,6,6,6,10,10,10,10,9,10,10,3,3,15,3,15,12,12,12,12,16,16,16,16,16,16,48,1,1,
1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1],[1,45,40,45,15,15,36,120,
45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,45,15,15,36,120,45,10,36,15,15,10,
15,15,10,6,6,1],[1,45,40,45,15,15,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,
75,160,30,30,30,50,10,10,10,25,50,50,96,160,15,15,75,15,15,60,60,60,60,96,40,
80,40,80,80,40,160,1,5,5,5,5,15,15,15,15,15,15,15,15,15,15,40,40,40,15,15,15,
15,15,10,20,20,20,20,16,16,16,16,5,6,10,6,5,1],[1,75,160,30,30,30,10,50,50,50,
25,10,10,96,160,15,15,15,15,75,60,60,60,60,96,80,40,80,40,40,80,160,5,1,5,5,5,
15,15,15,15,15,15,15,15,15,15,40,40,40,15,15,15,15,15,20,10,20,20,20,16,16,16,
16,5,6,10,6,5,1],[1,315,1120,630,630,630,210,210,210,210,105,210,210,2016,
3360,960,315,315,315,315,315,1260,1260,1260,1260,280,2016,840,840,840,840,840,
840,1680,21,21,105,105,105,315,315,315,315,315,315,315,315,315,315,280,960,
840,840,840,840,840,840,315,315,315,315,315,280,280,280,210,210,420,420,420,
336,336,336,336,336,336,336,105,280,126,126,210,210,126,126,120,120,120,105,
56,56,56,21,21,1]],
[1,2,3,4,4,4,4,4,4,4,4,4,4,5,6,7,8,8,8,8,8,8,8,8,8,9,10,12,12,12,12,12,12,12,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,21,24,24,24,24,24,24,32,32,32,
32,32,36,36,36,48,48,48,48,48,60,60,60,60,60,60,60,64,72,80,80,96,96,160,160,
168,168,168,192,360,360,360,960,960,20160],
[95,78,50,58,62,60,83,82,82,82,89,83,83,27,15,51,78,78,78,78,78,44,48,46,47,
79,27,54,52,56,53,57,55,34,93,94,89,89,89,78,78,78,78,78,78,78,78,78,78,79,51,
52,53,54,55,56,57,78,78,78,78,78,79,79,79,82,83,68,69,70,71,72,73,74,75,76,77,
89,79,84,85,82,83,84,85,86,87,88,89,90,91,92,93,94,95],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,2,2,2,1,14,8,12,10,13,7,9,11,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,26,16,29,31,28,33,30,32,11,11,11,11,11,26,26,26,35,
36,39,38,37,71,72,73,74,75,76,77,11,50,36,35,66,67,80,81,86,87,88,78,90,91,92,
93,94,95],
[( 2, 3)( 4, 6)( 5, 8)( 9,12)(10,14)(11,15)(13,17)(20,21),( 1, 2, 4, 7)
( 3, 5, 9,13)( 6,10,15,19)( 8,11)(12,16)(14,18,20,17)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]]],[[[
1,1,2,1],[3,1,2,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,
2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]],[[2,1,1,1],[
1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,
1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,2,1,
3,1,5,1,3,1,4,2]],[[1,1,2,1],[1,1,2,-1],[3,2,1,1,2,-1],[5,1,4,1,5,1,4,1]]],[[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,
1,2,1],[2,1,3,2,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,
2],[4,1,1,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,-1,3,2,4,1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,
-2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-2,3,-1,4,1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,1]]],[[[1,1,
2,1],[1,1,2,-1,3,-2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,
-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,
1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,
1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,-1,5,1,3,1,4,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,3,4,2,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,2,1,3,1]],[[
1,1,2,1],[3,2,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,3,-1,
2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,3,-2],[4,
1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,4,2,2,1,1,1]],[[1,1,2,1,1,1,2,1,
1,1],[3,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,-1,3,1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,-1,1,1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,
1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,2,-2,4,-1]],[[2,1,1,1],[2,
1,3,2,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,1,1,1,4,1,2,1,4,-1,
3,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-1,2,-2,4,2,3,2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1,3,1]],[[2,
1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]]],[[[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,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,3,1],[4,
1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,-1,1,
1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-2,3,-2,2,-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],[2,1,3,2],[4,1,5,1,4,1,5,
-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,
1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,-1,3,1,4,-1]],[[1,1,
2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
-2,2,-2,4,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,4,2,3,-1,4,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2,2,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,2,2,1]],[[2,1,1,1],[1,
1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,1,1,1]],[[
1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,
-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,
-2,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,
1],[2,-2,1,1,2,1,3,-3,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,
1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,
2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[3,2,2,-2,1,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,-1,
1,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
2,3,-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,-2,3,
1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,1,3,2,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[3,2,1,1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,-2,1,
1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
2,1,4,-1,3,1,4,-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],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,
2,-1,3,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-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]]],[[[1,1,2,1],[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],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[1,1,2,
1,1,1,3,1,2,1,3,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]],[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,
1],[2,1,3,2,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,4,1,3,-1,4,1,2,-1,1,1,2,-1,3,2,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-2,1,1,4,2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,-2,3,2,4,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-2,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,
1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,
2,-1,3,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,
1,1,1,2,-1,3,1,1,1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[2,-2,3,2,4,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,
1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,
3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[
2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,
-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[
3,1,2,1,3,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,3,1]],[[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,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1]]],[[[1,1]],[[2,1]]]]);ACLT( "L3(4)",
"sortperm",( 4,12, 5,13, 7, 6,11)( 8, 9,10)(17,21)(19,20)(28,33,32,30,29,31)
(35,36)(37,39,38)(40,49,43,48,46,47)(41,42,44)(53,57)(54,55,56)(60,62)
(63,64,65)(68,69)(71,74,72,73)(76,77)(86,88,87));
LIBTOM( "L3(3)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,3,7],[1,2,3,8],[1,2,4,9],[1,2,3,
10],[1,2,6,11],[1,2,6,12],[1,2,5,6,13],[1,3,14],[1,3,15],[1,3,4,16],[1,2,4,5,
17],[1,2,3,5,7,8,10,18],[1,19],[1,2,5,6,11,12,13,20],[1,2,3,8,14,21],[1,2,3,7,
15,22],[1,2,3,7,10,14,23],[1,2,3,8,10,15,24],[1,2,3,4,9,10,16,25],[1,2,3,6,10,
11,26],[1,2,4,5,6,9,13,17,27],[1,3,4,14,15,16,28],[1,2,3,6,8,14,21,29],[1,2,3,
6,7,15,22,30],[1,2,3,5,7,8,10,14,18,21,23,31],[1,2,3,5,7,8,10,15,18,22,24,
32],[1,4,19,33],[1,2,3,5,6,7,8,10,11,12,13,18,20,26,34],[1,2,3,4,7,8,9,10,14,
15,16,23,24,25,28,35],[1,2,3,4,7,10,14,15,16,22,23,28,36],[1,2,3,4,8,10,14,15,
16,21,24,28,37],[1,2,3,6,8,11,14,21,29,38],[1,2,3,6,7,11,15,22,30,39],[1,2,3,
5,6,7,8,10,13,14,18,21,23,29,31,40],[1,2,3,5,6,7,8,10,13,15,18,22,24,30,32,
41],[1,2,3,6,8,12,14,21,29,42],[1,2,3,6,7,12,15,22,30,43],[1,2,3,4,5,7,8,9,10,
14,15,16,18,21,22,23,24,25,28,31,32,35,36,37,44],[1,2,3,5,6,7,8,10,11,12,13,
14,18,20,21,23,29,31,38,40,42,45],[1,2,3,5,6,7,8,10,11,12,13,15,18,20,22,24,
30,32,39,41,43,46],[1,2,3,4,6,8,10,11,14,15,16,21,24,26,28,29,37,38,47],[1,2,
3,4,6,7,10,11,14,15,16,22,23,26,28,30,36,39,48],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,18,20,21,22,23,24,25,26,28,29,31,32,34,35,36,37,38,40,42,44,45,47,
49],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,28,30,31,
32,34,35,36,37,39,41,43,44,46,48,50],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,1,3,1],[1,1,1,1],[1,5,2,1,1],[1,4,1],[1,4,1],[1,1,3,1],[1,3,4,1,1],[1,7,
1,3,1,1,1,1],[1,1],[1,5,2,3,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,3,4,1,3,
1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[1,1,4,3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,
7,6,1,1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,15,4,9,2,12,6,1,6,1,2,
1],[1,15,4,9,12,2,6,1,6,1,2,1],[1,13,1,1],[1,13,4,6,3,4,4,4,1,3,3,4,3,1,1],[1,
9,7,6,3,3,6,9,1,1,2,3,3,6,1,1],[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],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,1,1,3,1],[1,21,4,18,9,4,12,
12,9,1,12,1,4,1,2,1],[1,21,4,18,9,12,4,12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,
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1],[1,9,16,24,27,12,36,9,4,1,8,1,12,9,4,3,4,1,1],[1,45,16,24,54,27,48,24,24,
72,9,27,27,1,4,8,72,27,1,4,12,24,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,
16,24,54,27,24,48,24,72,9,27,27,4,1,8,72,27,4,1,24,12,24,9,4,3,12,6,9,4,4,4,1,
3,3,4,3,1,1],[1,117,52,312,234,351,156,156,312,468,117,351,351,13,13,104,234,
468,144,351,13,13,156,156,312,117,234,52,39,39,78,78,144,117,52,52,52,13,13,
39,39,39,39,52,39,39,13,13,13,13,1]],
[1,2,3,3,4,4,6,6,6,6,8,8,8,9,9,9,12,12,13,16,18,18,18,18,18,24,24,27,36,36,36,
36,39,48,54,54,54,72,72,72,72,72,72,108,144,144,216,216,432,432,5616],
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34,27,44,45,46,40,41,33,34,44,44,44,49,50,45,46,45,46,44,45,46,49,50,49,50,
51],
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26,28,15,14,21,22,21,22,14,15,28,29,30,38,39,47,48,51],
[( 3, 8)( 4, 7)(11,25)(14,17)(15,26)(18,23)(20,22)(21,24),( 1,20,21)( 2,23, 7)
( 3, 9,16)( 4,24,10)( 5,15, 8)( 6,26,17)(12,13,22)(14,25,19)],
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1],[4,1,3,-2,4,1,3,-2,2,-1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,
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1],[3,1,1,1,4,2,2,-1,3,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,2,4,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,
1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,-1],[3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-1,3,1,4,-1]],[[1,1,2,1],[3,2,1,1,
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1,1]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1],[2,1,3,3,2,-1,1,1]],[[1,1,2,-1,1,
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3,-1,1,1,2,1,3,-1,2,-1],[4,3]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[2,-1,1,1,2,1]],[[
1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "L3(5)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,7],[1,8],[1,2,3,9],[1,2,3,10],[1,
2,5,11],[1,2,4,12],[1,2,5,6,13],[1,2,4,5,6,14],[1,2,7,15],[1,2,7,16],[1,2,8,
17],[1,2,7,18],[1,2,3,5,9,19],[1,2,3,6,9,10,20],[1,2,3,4,9,21],[1,2,3,6,22],[
1,2,4,5,6,11,13,14,23],[1,2,4,5,6,14,24],[1,2,4,5,6,12,14,25],[1,2,4,7,15,
26],[1,2,4,7,16,27],[1,2,5,7,16,28],[1,2,5,7,15,29],[1,2,5,8,17,30],[1,2,6,7,
15,16,18,31],[1,2,4,7,18,32],[1,2,5,7,18,33],[1,2,3,5,9,11,34],[1,2,3,4,9,12,
21,35],[1,2,3,4,9,12,21,36],[1,2,3,4,5,6,9,10,14,19,20,21,37],[1,2,3,5,6,10,
13,22,38],[1,7,39],[1,7,40],[1,7,8,41],[1,42],[1,2,4,5,6,11,12,13,14,23,24,25,
43],[1,2,4,5,6,7,14,15,16,18,27,28,31,44],[1,2,4,5,6,7,14,15,16,18,26,29,31,
45],[1,2,4,5,6,7,14,15,16,18,31,32,33,46],[1,2,3,4,5,6,14,22,24,47],[1,2,3,4,
5,6,9,11,13,14,21,23,34,48],[1,2,3,4,5,6,9,10,12,14,19,20,21,25,35,36,37,49],[
1,2,7,15,39,50],[1,2,7,16,40,51],[1,2,7,16,18,39,52],[1,2,7,15,18,40,53],[1,2,
7,8,17,18,41,54],[1,2,3,6,8,10,17,22,55],[1,3,7,40,56],[1,3,7,39,57],[1,2,4,5,
6,7,14,15,16,18,24,26,27,28,29,31,32,33,44,45,46,58],[1,3,42,59],[1,2,3,4,5,6,
10,11,12,13,14,22,23,24,25,38,43,47,60],[1,2,3,4,5,6,9,11,12,13,14,21,23,24,
25,34,35,43,48,61],[1,2,4,7,15,26,39,50,62],[1,2,4,7,16,27,40,51,63],[1,2,6,7,
15,16,18,31,40,51,53,64],[1,2,6,7,15,16,18,31,39,50,52,65],[1,2,5,7,15,29,39,
50,66],[1,2,5,7,16,28,40,51,67],[1,2,4,7,16,18,27,32,39,52,68],[1,2,4,7,15,18,
26,32,40,53,69],[1,2,5,7,16,18,28,33,39,52,70],[1,2,5,7,15,18,29,33,40,53,
71],[1,2,5,7,8,17,18,30,33,41,54,72],[1,2,3,5,7,9,11,18,19,33,34,73],[1,2,3,5,
6,8,9,10,13,17,20,22,30,38,55,74],[1,7,8,39,40,41,75],[1,2,3,7,9,15,39,50,57,
76],[1,2,3,7,9,16,40,51,56,77],[1,2,3,7,10,16,18,39,52,57,78],[1,2,3,7,10,15,
18,40,53,56,79],[1,2,5,7,11,15,29,39,50,66,80],[1,2,5,7,11,16,28,40,51,67,
81],[1,2,4,7,12,16,27,40,51,63,82],[1,2,4,7,12,15,26,39,50,62,83],[1,2,5,6,7,
13,15,16,18,29,31,39,50,52,65,66,84],[1,2,5,6,7,13,15,16,18,28,31,40,51,53,64,
67,85],[1,2,4,5,6,7,14,15,16,18,26,29,31,39,45,50,52,62,65,66,86],[1,2,4,5,6,
7,14,15,16,18,27,28,31,40,44,51,53,63,64,67,87],[1,2,4,5,6,7,14,15,16,18,26,
29,31,32,33,40,45,46,51,53,64,69,71,88],[1,2,4,5,6,7,14,15,16,18,27,28,31,32,
33,39,44,46,50,52,65,68,70,89],[1,2,3,4,5,6,7,9,10,11,13,14,15,16,18,19,20,21,
23,31,32,33,34,37,46,48,73,90],[1,2,7,8,15,18,39,40,41,50,53,75,91],[1,2,7,8,
16,18,39,40,41,51,52,75,92],[1,2,7,8,15,16,17,18,39,40,41,52,53,54,75,93],[1,
2,3,6,7,9,10,15,16,18,20,31,40,51,53,56,64,77,79,94],[1,2,3,6,7,9,10,15,16,18,
20,31,39,50,52,57,65,76,78,95],[1,2,3,4,7,9,16,21,27,40,51,56,63,77,96],[1,2,
3,4,7,9,15,21,26,39,50,57,62,76,97],[1,2,3,5,7,9,15,19,29,39,50,57,66,76,98],[
1,2,3,5,7,9,16,19,28,40,51,56,67,77,99],[1,2,4,5,6,7,11,13,14,15,16,18,23,27,
28,31,40,44,51,53,63,64,67,81,85,87,100],[1,2,4,5,6,7,11,13,14,15,16,18,23,26,
29,31,39,45,50,52,62,65,66,80,84,86,101],[1,2,4,5,6,7,14,15,16,18,24,26,27,28,
29,31,32,33,40,44,45,46,51,53,58,63,64,67,69,71,87,88,102],[1,2,4,5,6,7,14,15,
16,18,24,26,27,28,29,31,32,33,39,44,45,46,50,52,58,62,65,66,68,70,86,89,103],[
1,2,4,5,6,7,12,14,15,16,18,25,26,29,31,39,45,50,52,62,65,66,83,86,104],[1,2,4,
5,6,7,12,14,15,16,18,25,27,28,31,40,44,51,53,63,64,67,82,87,105],[1,2,3,4,5,6,
7,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,
37,43,44,45,46,48,49,58,61,73,90,106],[1,2,5,7,8,15,16,17,18,28,29,30,33,39,
40,41,52,53,54,70,71,72,75,93,107],[1,2,4,7,8,16,18,27,32,39,40,41,51,52,63,
68,75,92,108],[1,2,4,7,8,15,18,26,32,39,40,41,50,53,62,69,75,91,109],[1,2,4,7,
8,15,16,17,18,26,27,32,39,40,41,52,53,54,68,69,75,93,110],[1,2,5,7,8,15,18,29,
33,39,40,41,50,53,66,71,75,91,111],[1,2,5,7,8,16,18,28,33,39,40,41,51,52,67,
70,75,92,112],[1,2,6,7,8,15,16,17,18,31,39,40,41,50,51,52,53,54,64,65,75,91,
92,93,113],[1,2,3,5,7,9,11,15,29,34,39,50,57,66,76,80,114],[1,2,3,5,7,9,11,16,
28,34,40,51,56,67,77,81,115],[1,2,3,4,7,9,12,16,21,27,35,40,51,56,63,77,82,96,
116],[1,2,3,4,7,9,12,15,21,26,35,39,50,57,62,76,83,97,117],[1,2,3,4,7,9,12,16,
21,27,36,40,51,56,63,77,82,96,118],[1,2,3,4,7,9,12,15,21,26,36,39,50,57,62,76,
83,97,119],[1,2,3,4,5,6,7,9,10,14,15,16,18,19,20,21,26,29,31,37,39,45,50,52,
57,62,65,66,76,78,86,95,97,98,120],[1,2,3,4,5,6,7,9,10,14,15,16,18,19,20,21,
27,28,31,37,40,44,51,53,56,63,64,67,77,79,87,94,96,99,121],[1,2,4,5,6,7,11,12,
13,14,15,16,18,23,24,25,26,27,28,29,31,32,33,39,43,44,45,46,50,52,58,62,65,66,
68,70,80,83,84,86,89,101,103,104,122],[1,2,4,5,6,7,11,12,13,14,15,16,18,23,24,
25,26,27,28,29,31,32,33,40,43,44,45,46,51,53,58,63,64,67,69,71,81,82,85,87,88,
100,102,105,123],[1,2,4,5,6,7,8,14,15,16,17,18,26,29,31,32,33,39,40,41,45,46,
50,51,52,53,54,62,64,65,66,69,71,75,86,88,91,92,93,109,111,113,124],[1,2,4,5,
6,7,8,14,15,16,17,18,27,28,31,32,33,39,40,41,44,46,50,51,52,53,54,63,64,65,67,
68,70,75,87,89,91,92,93,108,112,113,125],[1,2,4,5,6,7,8,14,15,16,17,18,26,27,
28,29,30,31,32,33,39,40,41,44,45,46,50,51,52,53,54,64,65,68,69,70,71,72,75,88,
89,91,92,93,107,110,113,126],[1,2,3,4,5,6,7,9,11,13,14,15,16,18,21,23,27,28,
31,34,40,44,48,51,53,56,63,64,67,77,81,85,87,96,100,115,127],[1,2,3,4,5,6,7,9,
11,13,14,15,16,18,21,23,26,29,31,34,39,45,48,50,52,57,62,65,66,76,80,84,86,97,
101,114,128],[1,2,3,4,5,6,7,9,10,12,14,15,16,18,19,20,21,25,26,29,31,35,36,37,
39,45,49,50,52,57,62,65,66,76,78,83,86,95,97,98,104,117,119,120,129],[1,2,3,4,
5,6,7,9,10,12,14,15,16,18,19,20,21,25,27,28,31,35,36,37,40,44,49,51,53,56,63,
64,67,77,79,82,87,94,96,99,105,116,118,121,130],[1,2,4,5,6,7,8,14,15,16,17,18,
24,26,27,28,29,30,31,32,33,39,40,41,44,45,46,50,51,52,53,54,58,62,63,64,65,66,
67,68,69,70,71,72,75,86,87,88,89,91,92,93,102,103,107,108,109,110,111,112,113,
124,125,126,131],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,18,21,23,24,25,26,27,28,
29,31,32,33,34,35,39,43,44,45,46,48,50,52,57,58,61,62,65,66,68,70,76,80,83,84,
86,89,97,101,103,104,114,117,122,128,132],[1,2,3,4,5,6,7,9,11,12,13,14,15,16,
18,21,23,24,25,26,27,28,29,31,32,33,34,35,40,43,44,45,46,48,51,53,56,58,61,63,
64,67,69,71,77,81,82,85,87,88,96,100,102,105,115,116,123,127,133],[1,2,3,5,7,
8,9,11,15,18,19,29,33,34,39,40,41,50,53,57,66,71,73,75,76,80,91,98,111,114,
134],[1,2,3,5,7,8,9,11,16,18,19,28,33,34,39,40,41,51,52,56,67,70,73,75,77,81,
92,99,112,115,135],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,26,
29,31,32,33,34,37,39,40,41,45,46,48,50,51,52,53,54,57,62,64,65,66,69,71,73,75,
76,78,80,84,86,88,90,91,92,93,95,97,98,101,109,111,113,114,120,124,128,134,
136],[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,27,28,31,32,33,34,
37,39,40,41,44,46,48,50,51,52,53,54,56,63,64,65,67,68,70,73,75,77,79,81,85,87,
89,90,91,92,93,94,96,99,100,108,112,113,115,121,125,127,135,137],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,39,40,41,43,44,45,46,48,49,50,51,52,53,54,56,58,61,62,63,64,65,66,67,
68,69,70,71,72,73,75,77,79,81,82,85,86,87,88,89,90,91,92,93,94,96,99,100,102,
103,105,106,107,108,109,110,111,112,113,115,116,118,121,123,124,125,126,127,
130,131,133,135,137,138],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,48,49,50,
51,52,53,54,57,58,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,78,80,83,84,86,
87,88,89,90,91,92,93,95,97,98,101,102,103,104,106,107,108,109,110,111,112,113,
114,117,119,120,122,124,125,126,128,129,131,132,134,136,139],[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]],
0,
[[1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,1,
3,1],[1,1,1,1],[1,5,1,2,1],[1,3,1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,
1],[1,1,1,3,1,1],[1,7,1,3,1,2,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,7,1,3,3,1,3,3,
1],[1,3,3,3,1,3,1],[1,3,1,1,1,2,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,
1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,11,5,1,1,1,1,1],[1,1,1,1,1,1],[1,1,5,1,1,
1],[1,1,4,3,4,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,1,1,1],[1,7,1,1,3,3,1,2,3,1,1,
1,1],[1,9,4,3,4,4,3,1,1],[1,6,1],[1,6,1],[1,1,5,1],[1,1],[1,7,3,5,3,1,2,3,5,1,
1,1,1],[1,11,5,5,5,1,5,1,1,1,1,1,1,1],[1,11,5,5,5,1,5,1,1,1,1,1,1,1],[1,11,1,
5,5,1,5,1,1,1,1,1,1,1],[1,3,16,3,3,1,3,4,1,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[
1,7,1,1,3,3,1,2,4,3,1,1,1,3,1,1,1,1],[1,25,6,30,1,1],[1,25,6,30,1,1],[1,5,6,1,
5,1,1],[1,5,6,1,5,1,1],[1,5,1,5,1,5,1,1],[1,15,10,5,6,10,6,5,1],[1,25,6,1,1],[
1,25,6,1,1],[1,11,11,15,5,1,15,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1],[1,31,1,1],[1,
15,16,3,9,7,16,3,6,9,9,4,3,1,3,4,3,1,1],[1,7,4,7,9,3,4,1,6,3,9,4,1,3,3,1,4,3,
1,1],[1,25,25,6,30,30,1,1,1],[1,25,25,6,30,30,1,1,1],[1,35,25,6,2,30,10,10,1,
1,2,1],[1,35,25,6,30,2,10,10,1,1,2,1],[1,25,25,6,30,10,1,1,1],[1,25,25,6,30,
10,1,1,1],[1,5,5,6,1,5,1,5,1,1,1],[1,5,5,6,1,5,1,5,1,1,1],[1,5,25,6,1,5,5,5,1,
1,1],[1,5,25,6,1,5,5,5,1,1,1],[1,5,25,1,5,1,5,5,5,1,1,1],[1,1,10,15,6,10,5,6,
10,6,5,1],[1,25,10,15,20,6,10,20,15,6,10,5,6,5,1,1],[1,11,20,1,1,4,1],[1,25,
25,6,25,30,1,1,1,1],[1,25,25,6,25,30,1,1,1,1],[1,15,25,6,25,3,15,1,3,1,1],[1,
15,25,6,25,3,15,1,3,1,1],[1,25,75,6,25,30,30,1,1,3,1],[1,25,75,6,25,30,30,1,1,
3,1],[1,25,25,6,25,30,30,1,1,1,1],[1,25,25,6,25,30,30,1,1,1,1],[1,45,25,50,6,
25,30,4,20,10,20,1,1,4,2,1,1],[1,45,25,50,6,25,4,30,20,10,20,1,1,4,2,1,1],[1,
35,25,25,25,6,25,30,2,10,30,10,10,1,10,1,2,1,1,1,1],[1,35,25,25,25,6,25,2,30,
10,30,10,10,1,10,1,2,1,1,1,1],[1,35,5,25,25,6,25,2,30,10,1,5,10,5,5,1,5,5,1,2,
1,1,1,1],[1,35,5,25,25,6,25,30,2,10,1,5,10,5,5,1,5,5,1,2,1,1,1,1],[1,31,10,1,
15,15,6,10,20,5,15,15,6,6,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,25,11,20,30,25,
1,1,4,1,5,1,1],[1,25,11,20,30,25,1,1,4,1,5,1,1],[1,25,11,20,5,5,20,25,1,1,4,5,
5,20,1,1],[1,55,25,75,6,25,50,6,30,30,25,30,1,1,6,1,3,1,2,1],[1,55,25,75,6,25,
50,30,6,30,25,30,1,1,6,1,3,1,2,1],[1,25,25,25,6,25,30,25,30,1,1,1,1,1,1],[1,
25,25,25,6,25,30,25,30,1,1,1,1,1,1],[1,25,25,75,6,25,30,25,30,1,1,1,3,1,1],[1,
25,25,75,6,25,30,25,30,1,1,1,3,1,1],[1,55,25,75,75,6,25,75,75,6,30,30,25,30,
30,30,1,30,1,6,1,3,3,1,3,3,1],[1,55,25,75,75,6,25,75,75,30,6,30,25,30,30,30,1,
30,1,6,1,3,3,1,3,3,1],[1,35,35,75,25,6,75,2,30,10,25,2,30,10,10,10,10,10,1,10,
10,10,1,2,10,1,1,1,2,2,1,2,1],[1,35,35,75,25,6,75,30,2,10,25,30,2,10,10,10,10,
10,1,10,10,10,1,2,10,1,1,1,2,2,1,2,1],[1,35,25,25,25,6,50,25,30,2,10,25,30,10,
10,1,10,1,2,1,1,1,2,1,1],[1,35,25,25,25,6,50,25,2,30,10,25,30,10,10,1,10,1,2,
1,1,1,2,1,1],[1,31,10,31,45,15,6,10,20,5,10,15,45,6,6,6,10,10,10,5,15,15,6,6,
6,6,6,6,6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,25,125,11,20,5,5,20,25,25,25,
100,25,1,1,4,5,5,20,5,5,20,1,1,1],[1,25,25,11,20,30,25,30,25,1,1,4,1,5,1,5,1,
1,1],[1,25,25,11,20,30,25,30,25,1,1,4,1,5,1,5,1,1,1],[1,25,25,11,20,5,5,20,25,
5,5,25,1,1,4,5,5,20,5,5,1,1,1],[1,25,125,11,20,30,25,50,25,1,1,4,1,5,5,5,1,1,
1],[1,25,125,11,20,30,25,50,25,1,1,4,1,5,5,5,1,1,1],[1,75,125,11,20,35,35,20,
75,75,1,1,4,1,1,10,10,20,5,5,1,1,1,1,1],[1,25,100,75,6,100,25,30,30,25,1,1,4,
3,4,1,1],[1,25,100,75,6,100,25,30,30,25,1,1,4,3,4,1,1],[1,25,25,25,6,25,75,30,
25,30,25,1,1,1,1,1,3,1,1],[1,25,25,25,6,25,75,30,25,30,25,1,1,1,1,1,3,1,1],[1,
25,25,25,6,25,25,30,25,30,25,1,1,1,1,1,1,1,1],[1,25,25,25,6,25,25,30,25,30,25,
1,1,1,1,1,1,1,1],[1,55,25,25,75,75,6,25,50,75,30,6,30,25,25,25,30,30,30,25,1,
30,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,55,25,25,75,75,6,25,50,75,6,30,30,25,25,25,
30,30,30,25,1,30,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,55,35,125,75,6,25,50,75,125,30,
6,30,25,25,25,30,2,10,30,30,10,10,1,25,10,30,10,1,6,10,1,3,3,2,2,1,2,3,3,2,1,
1,1,1],[1,55,35,125,75,6,25,50,75,125,6,30,30,25,25,25,2,30,30,10,30,10,10,1,
25,30,10,10,1,6,10,1,3,3,2,2,1,2,3,3,2,1,1,1,1],[1,75,25,125,125,11,20,125,35,
35,20,75,30,50,75,25,25,1,1,4,50,25,1,1,10,10,20,1,5,5,5,5,5,1,5,5,1,1,1,1,1,
1,1],[1,75,25,125,125,11,20,125,35,35,20,75,30,50,75,25,25,1,1,4,50,25,1,1,10,
10,20,1,5,5,5,5,5,1,5,5,1,1,1,1,1,1,1],[1,75,25,125,125,11,20,125,35,35,20,75,
5,5,25,25,100,75,25,25,1,1,4,25,25,25,1,1,10,10,20,5,5,5,5,5,5,20,1,5,5,1,1,1,
1,1,1,1],[1,55,100,25,75,75,6,100,25,75,75,6,30,30,100,25,30,30,30,25,1,30,25,
1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,55,100,25,75,75,6,100,25,75,75,30,6,30,100,25,
30,30,30,25,1,30,25,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,55,25,25,75,75,6,25,50,
100,75,30,6,30,25,25,25,75,30,30,30,25,25,25,1,30,25,1,6,1,1,3,3,1,2,4,3,1,1,
1,3,1,1,1,1],[1,55,25,25,75,75,6,25,50,100,75,6,30,30,25,25,25,75,30,30,30,25,
25,25,1,30,25,1,6,1,1,3,3,1,2,4,3,1,1,1,3,1,1,1,1],[1,75,75,375,125,11,20,375,
35,35,20,75,125,35,35,75,75,100,75,75,75,1,1,4,75,75,75,1,1,10,10,20,75,1,1,5,
5,5,5,10,10,10,10,20,1,5,5,10,10,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1],[1,55,100,
55,225,75,6,100,25,150,75,225,30,6,30,100,25,75,75,30,6,30,30,30,30,30,25,100,
1,75,30,30,30,25,1,6,4,30,25,1,3,3,6,6,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,55,
100,55,225,75,6,100,25,150,75,225,6,30,30,100,25,75,75,6,30,30,30,30,30,30,25,
100,1,75,30,30,30,25,1,6,4,30,25,1,3,3,6,6,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,
25,250,375,36,120,250,125,30,150,250,150,150,125,1,6,24,1,30,10,15,30,25,6,10,
5,6,10,6,5,1],[1,25,250,375,36,120,250,125,30,150,250,150,150,125,6,1,24,1,30,
10,15,30,25,6,10,5,6,10,6,5,1],[1,175,250,25,375,375,36,120,250,500,125,375,
375,60,180,120,300,250,250,250,125,30,150,300,150,150,125,250,1,6,24,150,150,
125,1,6,30,60,120,10,1,30,15,15,30,30,25,6,10,20,5,15,15,30,25,6,6,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,175,250,25,375,375,36,120,250,500,125,375,375,180,60,
120,300,250,250,250,125,30,150,300,150,150,125,250,6,1,24,150,150,125,6,1,60,
30,120,10,1,15,30,15,30,30,25,6,10,20,5,15,15,30,25,6,6,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,175,250,175,1125,375,36,120,250,500,125,250,375,1125,180,60,
120,300,250,250,250,125,375,375,180,60,300,300,600,300,300,300,125,250,250,
250,6,1,24,375,300,300,300,125,250,6,1,60,30,120,10,300,125,6,1,15,30,30,15,
60,30,60,30,120,25,6,10,20,5,10,15,30,15,30,60,25,6,6,6,10,10,10,5,15,30,15,
25,6,6,6,6,6,6,6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,175,250,175,1125,375,
36,120,250,500,125,250,375,1125,60,180,120,300,250,250,250,125,375,375,60,180,
300,300,600,300,300,300,125,250,250,250,1,6,24,375,300,300,300,125,250,1,6,30,
60,120,10,300,125,1,6,30,15,15,30,30,60,30,60,120,25,6,10,20,5,10,15,15,30,60,
30,25,6,6,6,10,10,10,5,30,15,15,25,6,6,6,6,6,6,6,5,10,10,10,15,6,6,6,5,10,6,5,
1,1,1],[1,775,7750,775,11625,3875,186,3720,7750,15500,3875,7750,11625,11625,
930,930,3720,4650,7750,7750,7750,15500,3875,3875,11625,930,930,4650,4650,
18600,4650,4650,4650,3875,7750,7750,7750,15500,31,31,744,4000,11625,4650,4650,
4650,3875,3875,7750,31,31,930,930,3720,3100,310,310,4650,4000,3875,3875,31,31,
465,465,465,465,930,930,930,930,3720,775,3100,186,310,310,620,620,155,155,310,
310,465,465,465,465,930,930,775,186,186,186,310,310,310,310,310,310,155,155,
465,465,465,465,775,186,186,186,186,186,186,186,155,155,310,310,310,310,310,
310,465,465,186,186,186,155,155,310,310,186,155,155,31,31,31,31,31,31,1]],
[1,2,3,4,4,4,5,5,6,6,8,8,8,8,10,10,10,10,12,12,12,12,16,16,16,20,20,20,20,20,
20,20,20,24,24,24,24,24,25,25,25,31,32,40,40,40,48,48,48,50,50,50,50,50,60,75,
75,80,93,96,96,100,100,100,100,100,100,100,100,100,100,100,120,120,125,150,
150,150,150,200,200,200,200,200,200,200,200,200,200,240,250,250,250,300,300,
300,300,300,300,400,400,400,400,400,400,480,500,500,500,500,500,500,500,600,
600,600,600,600,600,600,600,800,800,1000,1000,1000,1200,1200,1200,1200,2000,
2400,2400,3000,3000,6000,6000,12000,12000,372000],
[140,106,49,106,43,60,131,72,49,37,61,49,43,43,102,103,72,58,49,49,49,38,61,
60,43,102,103,58,58,30,58,58,58,61,49,49,49,38,139,138,107,59,43,58,58,58,60,
61,49,139,138,103,102,72,74,130,129,58,59,60,61,139,138,123,122,122,123,103,
102,103,102,72,106,74,131,129,130,120,121,132,133,130,129,122,123,122,123,102,
103,106,131,131,131,130,129,130,129,129,130,133,132,123,122,122,123,106,131,
131,131,131,131,131,131,132,133,130,129,130,129,129,130,122,123,131,131,131,
133,132,129,130,131,132,133,139,138,139,138,138,139,140],
[1,1,1,1,1,1,1,1,1,3,2,1,2,1,7,7,8,1,3,3,1,6,2,1,2,7,7,7,7,8,7,1,7,11,3,1,3,
22,1,1,1,1,5,7,7,7,24,11,9,39,40,7,7,8,55,40,39,7,42,47,34,39,40,40,39,39,40,
7,7,39,40,41,73,55,7,39,40,57,56,50,51,40,39,50,51,39,40,40,39,73,39,40,75,56,
57,40,39,57,56,51,50,40,39,50,51,73,75,40,39,75,75,75,75,80,81,56,57,40,39,57,
56,66,67,75,75,75,81,80,76,77,75,114,115,134,135,134,135,135,134,140],
[( 1, 2, 3)( 4, 5, 7)( 6, 8,11)( 9,12,16)(10,14,15)(13,17,21)(18,22,23)
(19,24,29)(20,26,25)(28,30,31),( 3, 4, 6, 9,13)( 7,10,15,19,25)
(11,14,18,23,28)(16,20,22,27,29)(21,24,30,26,31)],
[[[[]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[4,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,
2,1,3,-1]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,-2],[3,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,
3,-1,1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,4],[2,1,1,1,2,2,1,1,2,-1,1,-1],[
5,1,6,1],[6,1,7,1],[7,1,8,2]],[[2,1,1,1,2,2,1,1,2,-1,1,-1],[3,-2]]],[[[1,1,2,
1],[3,1,1,1,2,1,3,1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,
1,1,2,1,5,1],[6,1,4,-1,6,1,4,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,1],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,
3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[7,1,4,-2,7,-1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,-1,4,-1,6,1,4,
-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,
6,1,4,1,6,2]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,-2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1],[4,4],[2,1,1,1,2,2,1,1,2,-1,1,-1],[5,1,6,-1,5,1,6,1,5,1]],[[2,1,1,1,2,2,1,
1,2,-1,1,-1],[3,-2]]],[[[1,-1],[2,1,1,1,2,-1,3,-1,2,1,1,1,2,1,3,-1],[1,-1,2,1,
1,-1,2,1,1,-1,2,-2],[5,2,4,1,5,1]],[[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,-2,4,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[4,-2,7,-1,6,-1,7,1,6,1]],[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-2,6,-1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,1],[7,1,4,-2,
7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,
4,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,
6,1,4,1,6,-3,4,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,
5,1],[4,1,6,1],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,2]]],[[[2,1,
1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,2,4,-1,6,1,4,
-1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,
-1,6,2,4,1,6,-1,4,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[6,1,4,1],[7,1,6,-1,4,-2,6,1,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,2],[7,1,4,-2,7,-1]]],[[[2,1,1,1],[2,1,3,
1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,
2,1,1,1],[4,4],[2,1,1,1,2,2,1,1,2,-1,1,-1],[6,1,5,1],[7,1,6,-1,5,1,7,1]],[[2,
1,1,1,2,2,1,1,2,-1,1,-1],[3,-2]]],[[[1,-1],[2,1,1,1,2,-1,3,-1,2,1,1,1,2,1,3,
-1],[1,-1,2,1,1,-1,2,1,1,-1,2,-2],[4,-1,5,1,4,-1,5,1]],[[1,-1],[2,1,1,1,2,-1,
3,-1,2,1,1,1,2,1,3,-1],[4,1,2,2,1,1,2,-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,-1,2,1,1,-1,2,1,1,-1,2,-2],[5,2,4,1,5,1]]],[[[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],[4,1,5,
1,4,1,5,-1]],[[1,-1,2,1,1,-1,2,1,1,-1,2,-2],[3,2]]],[[[1,-1],[2,1,1,1,2,-1,3,
-1,2,1,1,1,2,1,3,-1],[4,-1,1,-1,2,1,1,-1,2,1,1,-1,2,-2,4,1]],[[1,-1],[2,1,1,1,
2,-1,3,-1,2,1,1,1,2,1,3,-1],[4,1,1,-1,2,1,1,-1,2,1,1,-1,2,-2]]],[[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[6,1,4,1,6,1],[7,1,8,
-1,7,1,8,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[4,1,6,1,7,1,6,-1,7,1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,4,4,1]]],[[[2,1,
1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,-1,4,-1,
6,1,7,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[4,-2,7,-1,6,-1,7,1,6,1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,-1]]],[[[2,1,
1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,-2,4,1,
6,2,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,
6,1],[7,1,4,-2,7,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,
1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,4,
4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,
6,-1,4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,-2,6,-1,4,-1,6,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[6,1,4,1,6,1,4,-2,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,-1,7,1,6,-1,4,-1,7,1]],[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-2,4,1,6,1]]],[[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,2]]],[[[2,1,1,1],[2,1,
3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,1,4,1,6,-1,7,1,6,
1,4,1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,
1,6,1],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,4],[2,1,1,1,2,2,1,1,
2,-1,1,-1],[5,1,6,-1,5,1,6,1,5,1]],[[2,1,1,1,2,2,1,1,2,-1,1,-1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,4,4,1]],[[1,1,2,
1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,
-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-1,8,4,5,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,
2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,-1,6,4,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,1,6,1]]],[[[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,-1,2,1,1,1,2,1,3,-1],[4,1,2,2,1,1,2,-1,1,1,2,-1,1,1]],[[1,-1,2,1,1,
-1,2,1,1,-1,2,-2],[3,2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,
1,2,1,5,1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,
2,1],[5,1,1,1,2,1,5,1],[4,-2],[6,-1,4,1,6,1,7,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,1],[7,1,4,-2,7,-1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,-1,4,1,6,
1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,
6,1,4,-2,6,1,4,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,
5,1],[6,2],[7,1,4,-2,7,-1]]],[[[1,-1,2,1,1,-1,2,1,1,-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],[3,1,2,1,4,1,2,1,4,
-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,2,5,-2,8,1,5,1,8,-1]],[[1,
-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[
8,1,5,-2,8,1,5,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,
1,5,1],[4,1,6,1],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,1,6,-2,4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[6,1,4,1],[7,1,8,-1,7,1,8,-1]],[[1,1,2,
1],[3,1,1,1,2,1,3,1],[4,4]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,
1,1,2,1,5,1],[4,-1,6,4,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,1,6,-1],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,4,4,1]]],[[[1,-1],[2,1,1,1],[3,1,
2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2],[9,1,8,1,5,1,
8,-1,9,1,8,1,9,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,
1],[6,1,2,1,7,2,6,1],[5,-1,8,2,5,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,
-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[8,1,5,1],[5,-2,8,1,9,-2,8,-1]],[[
1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[4,-2,7,-1,6,-1,7,1,6,1]],[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1,2,2,1,
1,2,-1,1,-1],[3,-2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,4],[2,1,1,1,2,2,1,1,2,-1,
1,-1],[5,1,6,1,5,1,6,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,
-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2,8,-1,5,1,8,-1,5,1,8,-2]],[[1,-1],[1,1,2,
1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,-2],[6,1,7,1,6,-1,4,-1,6,-1,7,1]],[[1,1,2,1],[3,1,1,1,2,1,3,
1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,
-2],[6,-1,4,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[6,1,4,1],[4,-2,7,2]]],[[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,-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,-1,2,1,1,1,2,1,3,
-1]],[[1,-1,2,1,1,-1,2,1,1,-1,2,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,
2,1],[5,1,1,1,2,1,5,1],[6,1,4,1],[6,1,7,-1,4,-2,6,1,7,1]],[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,4,1,6,1,7,1,6,1,
7,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[
6,1,4,1,6,1],[7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[6,2],[7,1,8,2,7,
1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[6,
-1,4,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,
1,2,1,5,1],[4,-1,6,4,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,
1,1,2,1,5,1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,
1,2,1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,1],[7,1,4,-2,7,-1]]],[[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-2,6,-2]],[[2,1,
1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,1]]],[[[2,
1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,-1,4,1,6,1,
4,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-1,6,2]],[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2,4,1,6,-2]]],[[[1,-1],[2,1,1,1],[3,1,
2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,1],[5,-2,9,-1,
8,1,9,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,
2,1,7,2,6,1],[5,-2,8,1,5,-1,8,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,
1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2],[8,-1,9,1,8,1,5,1]],[[1,-1],[1,1,
2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[
5,1,1,1,2,1,5,1],[4,1,6,-1],[7,2,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,
4]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,
7,2,6,1],[8,1,5,-1,8,2,5,-1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[
2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,2,4,
-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,
1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,1,
4,-1,6,-1,4,1,6,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,
5,1],[6,1,4,-2,6,2,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,4]],[[2,1,1,1,2,2,
1,1,2,-1,1,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,1,6,-3]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[
4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,
1,4,-1,6,1],[4,-2,7,2]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[1,1,2,
1],[3,1,2,1,4,2,3,1],[5,4]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,
-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,-1,5,1,8,-1]]],[[[2,1,1,1],[2,1,3,1,2,
1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,-2,4,-1,6,-1]],[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-2,6,-2]],[[1,1,
2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[
1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2,8,-1,5,1,8,-1,5,1,8,-2]],[[1,-1],[2,1,
1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2,8,1,
5,-1,8,-2]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,-1,4,1,6,1,4,1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1,4,1,6,-1,4,
-2]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,
4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2,8,-1,5,1,8,1,5,1]],[[1,
-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[
5,-2,8,1,5,-1,8,-1,5,-1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[1,
-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[
5,1,8,1,5,1,8,-2]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1],[6,1,7,2]],[[1,1,2,
1],[3,1,1,1,2,1,3,1],[4,4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,1,6,1,4,-1,6,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,
3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[8,1,5,1],[9,1,8,-1,5,-2,8,1,9,-1]],[[
1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,
1],[8,1,5,1],[8,1,9,2,8,-1,5,-2]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,
4]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,
6,1,4,1,6,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[
4,-1,6,2,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,-2],[6,-1,4,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,2,4,-1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,1,4,-1,6,1]],[[
2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,
1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,
1],[4,-2,7,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[
4,1,6,3]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,
2,4,1],[4,-2,7,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,
1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[4,1,6,-3]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,
5,1],[4,1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,-1,6,2,4,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,
2,1],[6,1,2,1,7,2,6,1],[8,2,5,1,8,-1,5,-2]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,
1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[8,1,5,-1,8,1,5,-1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,2,4,-1,6,
-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,
4,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,
1],[5,4]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,
2,1,7,2,6,1],[5,1,8,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]],[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2,4,1,6,1]]],[[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,1,4,1,6,2]],[[2,
1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-1,6,
1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,
4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-1,8,-1,5,1,8,1]],[[1,-1],[2,
1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,
-1,5,1,8,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,
1],[6,1,2,1,7,2,6,1],[5,-2,8,-1,5,1,8,1,5,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,
3,1],[5,-2]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,
1,2,1,7,2,6,1],[5,1,8,1,5,1,8,-1,5,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[6,2,4,-1,6,1,4,-2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[6,-1,7,1,6,1]]],[[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,1,4,-1,6,2]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2],[7,1,4,-2,7,
-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,
6,-1,4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,
1],[4,-2,6,1,4,-1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,
2,1,5,1],[4,-1,6,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,
1,2,1,5,1],[6,1,4,-1,6,-1,4,-1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,
-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[8,1,5,1,8,1,5,-2]],[[1,-1],[2,1,1,
1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[8,1,5,-2,8,
1,5,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,4]]],[[[2,1,1,1],[2,1,3,1,2,1,
3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,3]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-3]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,
2,1],[5,1,1,1,2,1,5,1],[6,1,4,-1,6,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,1,4,-1,6,1,4,-2]],[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,
1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,-1,4,1]],[[2,1,1,1],[2,1,3,1,
2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,
1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,1,4,-1,6,-2]],[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,
1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2,4,1,6,1,4,-1]],[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,
1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-2,6,2,4,-1,6,1]],[[
2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,1]],[[
2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,
1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1,4,1,6,-1,4,
-2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,-2,
4,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,
1,7,2,6,1],[5,-2,8,-1,5,-1,8,-2]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,
1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,2,5,1]]],[[[1,-1],[2,1,1,1],[3,1,
2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-2,8,1,5,1,8,
1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,
2,6,1],[8,1,5,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,
5,1],[4,1,6,1],[7,2,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,
1,2,1,5,1],[6,2,4,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]]],[[[1,-1],[2,1,
1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,1,5,
-2,8,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,
1,7,2,6,1],[5,1,8,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,4]],[[2,1,1,1],[2,1,
3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-2]]],[[[2,1,1,1],[2,1,3,
1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-1,6,1]],[[2,1,1,1],[
2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,2,4,1,6,1]]],[[[1,-1],[2,
1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-1,8,
-1,5,1,8,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,
1,2,1,7,2,6,1],[5,1,8,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,
1,1,2,1,5,1],[4,1,6,1,4,-1,6,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,-1,6,1,4,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,
-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,1],[9,1,8,1,9,1]],[[1,-1],[
1,1,2,1],[3,1,2,1,4,2,3,1],[5,-2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[6,1,4,1],[4,-2,7,2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,
1,2,1],[5,1,1,1,2,1,5,1],[4,-2],[7,1,6,1,7,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,
1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,-1,6,1,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,1,6,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,
1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,
1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,-2,5,1]],[[1,-1],[1,1,2,
1],[3,1,2,1,4,2,3,1],[5,2]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[6,1,4,1,6,-1,4,-1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[6,1,4,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,1,6,-1,4,-1,6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[
1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,-2]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,
-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,-1,8,-1,5,-1,8,-2]],[[1,-1],[2,
1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,
-1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,
2,6,1],[5,-1,8,-1,5,1,8,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[6,2,4,-1,6,-2]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[
5,1,1,1,2,1,5,1],[4,-1,6,1,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[
5,1,1,1,2,1,5,1],[4,1,6,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,-1,6,1,4,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,
1,1,1,2,1,5,1],[4,1,6,-1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,
-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[5,1,8,-2,5,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,
2,3,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[4,1,
6,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,1],[5,1,1,1,2,1,5,1],[6,1,4,
1]]],[[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,
7,2,6,1],[8,1,5,1]],[[1,-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,
2,1],[6,1,2,1,7,2,6,1],[5,1,8,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1],[1,1,2,
1],[5,1,1,1,2,1,5,1],[4,-1,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1],[4,-2]]],[[[1,
-1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1],[1,-1],[1,1,2,1],[6,1,2,1,7,2,6,1],[
5,-1,8,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1],[5,2]]],[[[2,1,1,1],[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],[2,1,3,1,2,1,
3,-1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[1,1]],[[2,1]]]]);ACLT( "L3(5)",
"sortperm",( 5, 6)( 13, 14)( 15, 16)( 19, 20, 21)( 26, 27)( 28, 31, 29, 32)
( 30, 33)( 35, 37)( 39, 40)( 44, 45, 46)( 47, 48)( 50, 51)( 60, 61)( 62, 63)
( 65, 66, 67)( 69, 70)( 76, 77)( 78, 79)( 80, 81)( 84, 87)( 88, 89)( 94, 96)
( 95, 99)(103,104,105)(108,111,110,113,109)(114,115)(116,118,117,121)(119,120)
(122,123)(124,125,126)(129,130)(132,133)(134,135)(136,137));
LIBTOM( "L3(7)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,3,6],[1,2,3,7],[1,8],[1,9],[1,10],[1,
11],[1,2,5,12],[1,2,5,13],[1,2,4,5,14],[1,3,15],[1,2,3,4,16],[1,2,3,4,17],[1,
2,3,4,18],[1,2,3,4,6,19],[1,2,3,4,6,7,20],[1,2,3,5,6,21],[1,2,8,22],[1,2,8,
23],[1,2,11,24],[1,2,10,25],[1,2,9,26],[1,2,8,27],[1,2,5,12,13,28],[1,2,5,13,
29],[1,2,4,5,13,14,30],[1,2,3,7,15,31],[1,32],[1,3,8,33],[1,3,10,34],[1,3,11,
35],[1,3,9,36],[1,2,3,5,6,12,37],[1,2,3,4,5,7,14,18,38],[1,2,3,4,5,7,14,17,
39],[1,2,3,4,5,7,14,16,40],[1,2,3,4,5,6,7,14,19,20,21,41],[1,2,4,8,22,23,27,
42],[1,2,4,5,12,13,14,28,29,30,43],[1,2,3,4,6,15,16,17,18,19,44],[1,2,3,5,7,
15,31,45],[1,2,3,5,7,15,31,46],[1,2,3,5,7,15,31,47],[1,2,3,6,8,27,33,48],[1,2,
3,6,8,22,33,49],[1,2,3,6,8,23,33,50],[1,2,3,6,11,24,35,51],[1,2,3,6,10,25,34,
52],[1,2,3,6,9,26,36,53],[1,2,3,5,6,12,13,21,28,37,54],[1,8,55],[1,8,56],[1,8,
9,57],[1,8,10,58],[1,8,11,59],[1,3,32,60],[1,2,3,5,7,12,15,31,45,46,47,61],[1,
2,3,4,5,6,7,14,15,16,17,18,19,20,21,31,38,39,40,41,44,62],[1,2,3,4,6,8,19,22,
23,27,33,42,48,49,50,63],[1,2,8,23,55,64],[1,2,8,22,56,65],[1,2,8,22,27,55,
66],[1,2,8,23,27,56,67],[1,2,8,10,25,27,58,68],[1,2,8,11,24,27,59,69],[1,2,8,
9,26,27,57,70],[1,3,8,33,55,71],[1,3,8,33,56,72],[1,3,8,11,33,35,59,73],[1,3,
8,10,33,34,58,74],[1,3,8,9,33,36,57,75],[1,2,3,4,5,7,9,14,18,36,38,76],[1,2,3,
4,5,7,11,14,17,35,39,77],[1,2,3,4,5,7,10,14,16,34,40,78],[1,2,5,8,23,55,64,
79],[1,2,5,8,22,56,65,80],[1,2,4,8,22,23,27,42,55,64,66,81],[1,2,4,8,22,23,27,
42,56,65,67,82],[1,2,3,6,8,22,33,49,56,65,72,83],[1,2,3,6,8,23,33,50,55,64,71,
84],[1,2,3,7,8,23,27,33,56,67,72,85],[1,2,3,7,8,22,27,33,55,66,71,86],[1,2,3,
6,8,22,27,33,48,49,55,66,71,87],[1,2,3,6,8,23,27,33,48,50,56,67,72,88],[1,2,3,
6,8,9,26,27,33,36,48,53,57,70,75,89],[1,2,3,6,8,10,25,27,33,34,48,52,58,68,74,
90],[1,2,3,6,8,11,24,27,33,35,48,51,59,69,73,91],[1,2,3,5,6,8,12,13,21,27,28,
33,37,48,54,92],[1,2,3,4,5,6,7,10,13,14,16,20,25,30,34,40,52,78,93],[1,2,3,4,
5,6,7,11,13,14,17,20,24,30,35,39,51,77,94],[1,2,3,4,5,6,7,9,13,14,18,20,26,30,
36,38,53,76,95],[1,8,9,10,11,55,56,57,58,59,96],[1,2,5,8,12,22,56,65,80,97],[
1,2,5,8,12,23,55,64,79,98],[1,2,5,8,13,22,56,65,80,99],[1,2,5,8,13,23,55,64,
79,100],[1,2,4,5,8,14,22,23,27,42,55,64,66,79,81,101],[1,2,4,5,8,14,22,23,27,
42,56,65,67,80,82,102],[1,2,3,4,6,7,8,20,22,23,27,33,42,50,55,64,66,71,81,84,
86,103],[1,2,3,4,6,7,8,20,22,23,27,33,42,49,56,65,67,72,82,83,85,104],[1,2,3,
5,6,8,21,22,33,49,56,65,72,80,83,105],[1,2,3,5,6,8,21,23,33,50,55,64,71,79,84,
106],[1,2,3,4,6,8,19,22,23,27,33,42,48,49,50,56,63,65,67,72,82,83,88,107],[1,
2,3,4,6,8,19,22,23,27,33,42,48,49,50,55,63,64,66,71,81,84,87,108],[1,2,3,4,5,
6,7,8,12,13,14,19,20,21,22,23,27,28,29,30,33,37,41,42,43,48,49,50,54,63,92,
109],[1,2,8,9,10,11,22,27,55,56,57,58,59,65,66,96,110],[1,2,8,9,10,11,23,27,
55,56,57,58,59,64,67,96,111],[1,2,8,9,10,11,22,23,24,25,26,27,55,56,57,58,59,
66,67,68,69,70,96,112],[1,2,5,8,13,23,29,55,64,79,100,113],[1,2,5,8,13,22,29,
56,65,80,99,114],[1,2,4,5,8,13,14,22,23,27,30,42,55,64,66,79,81,100,101,115],[
1,2,4,5,8,13,14,22,23,27,30,42,56,65,67,80,82,99,102,116],[1,2,5,8,12,13,22,
28,56,65,80,97,99,117],[1,2,5,8,12,13,23,28,55,64,79,98,100,118],[1,3,8,9,10,
11,33,34,35,36,55,56,57,58,59,71,72,73,74,75,96,119],[1,2,3,5,6,8,12,23,33,37,
50,55,64,71,79,84,98,120],[1,2,3,5,6,8,12,22,33,37,49,56,65,72,80,83,97,121],[
1,2,3,4,5,6,7,8,14,19,20,21,22,23,27,33,41,42,48,49,50,55,63,64,66,71,79,81,
84,86,87,101,103,106,108,122],[1,2,3,4,5,6,7,8,14,19,20,21,22,23,27,33,41,42,
48,49,50,56,63,65,67,72,80,82,83,85,88,102,104,105,107,123],[1,2,4,8,9,10,11,
22,23,24,25,26,27,42,55,56,57,58,59,64,65,66,67,68,69,70,81,82,96,110,111,112,
124],[1,2,4,5,8,12,13,14,22,23,27,28,29,30,42,43,56,65,67,80,82,97,99,102,114,
116,117,125],[1,2,4,5,8,12,13,14,22,23,27,28,29,30,42,43,55,64,66,79,81,98,
100,101,113,115,118,126],[1,2,3,6,8,9,10,11,23,27,33,34,35,36,48,50,55,56,57,
58,59,64,67,71,72,73,74,75,84,88,96,111,119,127],[1,2,3,6,8,9,10,11,22,27,33,
34,35,36,48,49,55,56,57,58,59,65,66,71,72,73,74,75,83,87,96,110,119,128],[1,2,
3,6,8,9,10,11,22,23,24,25,26,27,33,34,35,36,48,49,50,51,52,53,55,56,57,58,59,
66,67,68,69,70,71,72,73,74,75,87,88,89,90,91,96,112,119,129],[1,2,3,5,6,8,12,
13,21,22,28,33,37,49,54,56,65,72,80,83,97,99,105,117,121,130],[1,2,3,5,6,8,12,
13,21,23,28,33,37,50,54,55,64,71,79,84,98,100,106,118,120,131],[1,2,3,4,6,8,9,
10,11,19,22,23,24,25,26,27,33,34,35,36,42,48,49,50,51,52,53,55,56,57,58,59,63,
64,65,66,67,68,69,70,71,72,73,74,75,81,82,83,84,87,88,89,90,91,96,107,108,110,
111,112,119,124,127,128,129,132],[1,2,3,5,6,8,9,10,11,12,13,21,22,27,28,33,34,
35,36,37,48,49,54,55,56,57,58,59,65,66,71,72,73,74,75,80,83,87,92,96,97,99,
105,110,117,119,121,128,130,133],[1,2,3,5,6,8,9,10,11,12,13,21,23,27,28,33,34,
35,36,37,48,50,54,55,56,57,58,59,64,67,71,72,73,74,75,79,84,88,92,96,98,100,
106,111,118,119,120,127,131,134],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,20,21,
22,23,24,25,26,27,28,29,30,33,34,35,36,37,41,42,43,48,49,50,51,52,53,54,55,56,
57,58,59,63,64,65,66,67,68,69,70,71,72,73,74,75,80,81,82,83,84,85,87,88,89,90,
91,92,96,97,99,102,104,105,107,108,109,110,111,112,114,116,117,119,121,123,
124,125,127,128,129,130,132,133,135],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,20,
21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,41,42,43,48,49,50,51,52,53,54,55,
56,57,58,59,63,64,65,66,67,68,69,70,71,72,73,74,75,79,81,82,83,84,86,87,88,89,
90,91,92,96,98,100,101,103,106,107,108,109,110,111,112,113,115,118,119,120,
122,124,126,127,128,129,131,132,134,136],[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]],
0,
[[1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,1],[1,1],[1,1],[
1,1,3,1],[1,1,1,1],[1,5,2,1,1],[1,4,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
3,1,1,3,1],[1,7,1,3,1,2,1],[1,1,1,3,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,
1],[1,7,1,1],[1,1,1,1],[1,1,5,2,1,1],[1,1,1,1,1],[1,9,4,1,1,2,1],[1,9,4,12,1,
1],[1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,9,4,4,3,4,
3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,1,4,3,3,2,3,1,1,1,1],[1,
15,7,1,1,1,1,1],[1,9,4,5,2,1,2,1,1,1,1],[1,3,13,1,3,4,1,1,1,1,1],[1,9,4,9,12,
1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,
1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,
1,4,9,4,4,3,4,3,1,1],[1,8,1],[1,8,1],[1,1,7,1],[1,1,7,1],[1,1,7,1],[1,19,1,
1],[1,9,4,27,12,9,1,1,1,1,1,1],[1,21,13,10,9,3,42,9,4,1,1,1,1,3,3,4,3,3,3,3,1,
1],[1,15,7,7,21,1,7,1,1,1,1,1,1,1,1,1],[1,49,8,56,1,1],[1,49,8,56,1,1],[1,7,8,
1,7,1,1],[1,7,8,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,1,7,1,7,1,
1],[1,49,8,14,1,1],[1,49,8,14,1,1],[1,49,1,7,7,7,1,1],[1,49,1,7,7,7,1,1],[1,
49,1,7,7,7,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,14,21,28,8,21,14,8,
14,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,49,49,8,56,1,1,1],[1,49,49,8,56,1,
1,1],[1,63,49,8,2,56,14,14,1,1,2,1],[1,63,49,8,56,2,14,14,1,1,2,1],[1,49,49,
49,8,56,14,14,1,1,1,1],[1,49,49,49,8,56,14,14,1,1,1,1],[1,21,49,49,8,3,21,14,
1,3,1,1],[1,21,49,49,8,3,21,14,1,3,1,1],[1,7,49,49,8,1,7,14,7,7,1,1,1,1],[1,7,
49,49,8,1,7,14,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,
7,1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,1,28,21,28,8,14,
21,28,8,21,8,14,8,14,1],[1,49,28,56,21,28,56,8,21,42,14,28,8,21,8,14,8,1,1],[
1,49,28,56,21,28,56,8,21,42,14,28,8,21,8,14,8,1,1],[1,49,28,56,21,28,56,8,21,
42,14,28,8,21,8,14,8,1,1],[1,15,14,14,14,1,1,2,2,2,1],[1,49,147,8,49,56,1,1,3,
1],[1,49,147,8,49,56,1,1,3,1],[1,49,49,8,49,56,1,1,1,1],[1,49,49,8,49,56,1,1,
1,1],[1,77,98,49,8,49,4,56,28,28,1,1,4,1,2,1],[1,77,98,49,8,49,56,4,28,28,1,1,
4,1,2,1],[1,91,49,147,49,98,8,49,6,56,42,14,42,14,1,1,6,1,3,1,2,1],[1,91,49,
147,49,98,8,49,56,6,42,14,42,14,1,1,6,1,3,1,2,1],[1,49,49,147,49,8,49,56,14,
14,1,1,1,3,1,1],[1,49,49,147,49,8,49,56,14,14,1,1,1,3,1,1],[1,63,49,49,147,8,
49,56,2,14,14,14,14,14,14,1,14,1,2,1,1,1,2,1],[1,63,49,49,147,8,49,2,56,14,14,
14,14,14,14,1,14,1,2,1,1,1,2,1],[1,57,28,28,21,84,56,8,14,21,42,28,28,28,8,8,
8,21,21,21,8,14,28,8,21,8,8,8,14,8,1,1],[1,49,15,14,14,14,56,49,1,1,2,2,2,1,7,
1,1],[1,49,15,14,14,14,56,49,1,1,2,2,2,1,7,1,1],[1,49,15,14,14,14,7,7,14,14,
14,49,1,1,2,2,2,7,7,14,14,14,1,1],[1,49,49,8,49,56,49,1,1,1,1,1],[1,49,49,8,
49,56,49,1,1,1,1,1],[1,105,196,49,8,49,98,8,56,56,49,56,1,1,8,1,4,1,2,1],[1,
105,196,49,8,49,98,56,8,56,49,56,1,1,8,1,4,1,2,1],[1,49,245,8,98,49,56,49,1,1,
5,2,1,1],[1,49,245,8,98,49,56,49,1,1,5,2,1,1],[1,343,15,14,14,14,147,98,98,98,
1,1,2,2,2,7,7,14,14,14,1,1],[1,49,196,147,196,8,49,56,56,49,56,1,1,4,3,4,1,
1],[1,49,196,147,196,8,49,56,56,49,56,1,1,4,3,4,1,1],[1,105,49,196,147,147,98,
8,147,49,49,49,8,56,56,14,49,56,14,14,14,1,14,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,
105,49,196,147,147,98,8,147,49,49,49,56,8,56,14,49,56,14,14,14,1,14,1,8,1,3,4,
1,2,2,3,1,1,1,1],[1,147,343,15,14,14,14,63,63,14,14,14,147,147,1,1,2,2,2,1,1,
14,14,14,14,14,7,7,1,1,1,1,1],[1,105,196,245,8,98,49,98,56,8,56,49,49,49,56,
49,1,1,8,5,4,2,1,2,1,1,1,1],[1,105,196,245,8,98,49,98,8,56,56,49,49,49,56,49,
1,1,8,5,4,2,1,2,1,1,1,1],[1,49,343,343,15,14,14,14,56,49,147,98,98,98,49,98,1,
1,2,2,2,1,7,7,7,14,14,14,7,7,1,1,1,1],[1,49,343,343,15,14,14,14,56,49,147,98,
98,98,49,98,1,1,2,2,2,1,7,7,7,14,14,14,7,7,1,1,1,1],[1,49,343,343,15,14,14,14,
7,7,14,14,14,49,147,98,98,98,49,49,49,98,98,98,1,1,2,2,2,7,7,14,14,14,7,7,14,
14,14,7,7,14,14,14,1,1,1,1],[1,49,196,441,196,8,196,147,196,56,147,56,49,56,
49,1,1,4,9,4,4,3,4,3,1,1],[1,49,196,441,196,8,196,147,196,56,147,56,49,56,49,
1,1,4,9,4,4,3,4,3,1,1],[1,147,343,343,1029,15,14,14,14,343,63,63,14,14,14,147,
147,98,98,98,147,147,147,147,98,98,98,1,1,2,2,2,147,1,1,14,14,14,14,14,7,7,14,
14,14,7,7,7,7,14,14,14,14,14,1,7,7,1,1,1,1,1,1,1,1,1],[1,49,1372,1029,1372,64,
112,112,112,686,1029,1372,56,392,1029,784,784,784,784,686,392,392,686,8,1,16,
16,16,1,56,56,28,112,112,112,21,28,56,49,8,14,21,28,8,21,8,14,8,14,1],[1,49,
1372,1029,1372,64,112,112,112,686,1029,1372,56,392,1029,784,784,784,784,686,
392,392,686,1,8,16,16,16,1,56,28,56,112,112,112,21,28,56,49,8,14,21,28,8,21,8,
14,8,14,1],[1,441,1372,1372,1029,4116,2744,64,112,112,112,686,1029,2058,1372,
1372,1372,112,448,112,112,112,784,1029,1029,1029,784,784,784,784,686,1372,784,
1029,784,784,784,784,784,784,686,8,1,16,16,16,784,8,1,112,56,112,112,112,56,
28,112,112,112,21,56,28,28,56,56,112,56,112,112,112,49,8,14,21,42,28,28,28,56,
49,8,8,8,21,21,21,8,14,28,8,21,8,8,8,14,8,1,1],[1,441,1372,1372,1029,4116,
2744,64,112,112,112,686,1029,2058,1372,1372,1372,448,112,112,112,112,784,1029,
1029,1029,784,784,784,784,686,1372,784,1029,784,784,784,784,784,784,686,1,8,
16,16,16,784,1,8,56,112,112,112,112,28,56,112,112,112,21,28,56,56,28,56,56,
112,112,112,112,49,8,14,21,42,28,28,56,28,49,8,8,8,21,21,21,8,14,28,8,21,8,8,
8,14,8,1,1],[1,2793,26068,26068,58653,78204,156408,456,6384,6384,6384,39102,
58653,117306,26068,26068,26068,26068,26068,78204,78204,3192,3192,6384,6384,
6384,22344,58653,58653,58653,26068,32928,22344,44688,44688,44688,39102,78204,
78204,78204,78204,22344,58653,26068,26068,26068,26068,22344,22344,22344,44688,
44688,44688,39102,57,57,912,912,912,32928,26068,26068,22344,57,57,3192,3192,
6384,6384,6384,1596,1596,6384,6384,6384,5586,5586,5586,1197,1197,1596,1596,
1596,1596,3192,3192,3192,3192,6384,6384,6384,2793,5586,5586,5586,456,798,798,
1197,1197,2394,2394,1596,1596,1596,1596,1596,1596,2793,456,456,456,1197,1197,
1197,1197,1197,1197,456,798,798,1596,1596,456,1197,1197,456,456,456,798,798,
456,57,57,57,57,1]],
[1,2,3,4,4,6,6,7,7,7,7,8,8,8,9,12,12,12,12,12,12,14,14,14,14,14,14,16,16,16,
18,19,21,21,21,21,24,24,24,24,24,28,32,36,36,36,36,42,42,42,42,42,42,48,49,49,
49,49,49,57,72,72,84,98,98,98,98,98,98,98,147,147,147,147,147,168,168,168,196,
196,196,196,294,294,294,294,294,294,294,294,294,336,336,336,336,343,392,392,
392,392,392,392,588,588,588,588,588,588,672,686,686,686,784,784,784,784,784,
784,1029,1176,1176,1176,1176,1372,1568,1568,2058,2058,2058,2352,2352,4116,
16464,16464,32928,32928,1876896],
[137,109,62,62,43,41,20,132,89,90,91,54,43,30,61,62,62,62,62,41,41,108,107,91,
90,89,63,43,43,43,61,60,63,52,51,53,54,38,39,40,41,63,43,62,61,61,61,63,63,63,
51,52,53,54,136,135,129,129,129,60,61,62,63,136,135,108,107,90,91,89,122,123,
91,90,89,95,94,93,126,125,122,123,123,122,104,103,108,107,89,90,91,109,93,94,
95,132,130,131,125,126,115,116,122,123,123,122,123,122,109,132,132,132,126,
125,126,125,125,126,132,131,130,122,123,132,125,126,132,132,132,130,131,132,
135,136,135,136,137],
[1,1,1,1,1,1,3,1,1,1,1,2,1,2,1,4,4,4,1,3,3,8,8,11,10,9,1,5,1,5,15,1,8,10,11,9,
12,18,17,16,6,8,13,4,15,15,15,8,8,8,11,10,9,37,1,1,1,1,1,32,31,44,8,55,56,8,8,
10,11,9,55,56,59,58,57,76,77,78,55,56,55,56,56,55,72,71,55,56,57,58,59,92,78,
77,76,8,65,64,56,55,64,65,71,72,72,71,56,55,92,56,55,96,55,56,79,80,80,79,96,
98,97,84,83,96,99,100,96,96,96,121,120,96,133,134,133,134,137],
[( 2, 3)( 4,17)( 5,13)( 6, 8)( 7,24)( 9,35)(10,41)(12,26)(14,19)(16,46)(18,25)
(20,51)(21,29)(23,52)(28,55)(30,50)(32,43)(33,44)(37,53)(38,49)(39,56)(40,57)
(42,48)(45,54),( 1,47,37,52, 3, 7,56)( 2,45,24,27,19,36,14)( 4,21,31,53,39,55,
16)( 5,38,20,50,48,33,32)( 6,44,28,54,12,13,43)( 9,18,17,46,42,30,22)
(10,26,23,29,57,40,25)(11,35,51,15,34,49,41)],
[[[[]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[4,2],[8,2,7,2,4,1,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,
2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1,4,3,7,-1]]],[[[2,1,1,1,2,-3,1,
1],[3,4]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,
5,-1],[4,1,7,2]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,
1],[2,2,5,1,6,-2,5,-1],[7,2],[4,1,8,1],[8,1,4,1],[9,1,10,-2,4,1,9,-1,8,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,
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1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,3,4,-1,7,-1]]],[[[1,1,2,1],[3,1,1,1,2,
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-1],[7,1,4,-1,7,2,4,1,7,1,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,
1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,-3,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,
5,1,6,-2,5,-1],[4,2],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,1]],[[1,1,2,1],[3,1,1,1,2,
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1,1,2,-3,1,1],[3,4],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1,2,2],[6,4],[4,1,7,-2,4,
1]],[[2,1,1,1,2,-3,1,1],[3,4],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1,2,2],[6,4],[7,1,
4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[
2,2,5,1,6,-2,5,-1],[7,2],[8,1,4,1],[8,-1,9,-1,4,1,8,-1,4,1,8,1,9,-1]],[[1,1,2,
1],[3,-2,1,1,2,-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[2,2,5,1,6,-2,5,-1],[7,2],[
4,1,8,-1,4,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,
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1],[2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,-2,5,-1,2,2,5,1],[7,2],[
4,1,8,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,
1,1],[2,2,6,1,7,1,6,-1,7,1],[8,2],[9,1,5,1],[9,-1,10,-1,5,1,9,-1,5,1,9,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,2,6,
1,7,1,6,-1,7,1],[8,2],[5,1,9,-1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[7,1,4,-1,7,-1,8,1,7,-1,8,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,1,
4,1,7,-1,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,
6,-2,5,-1],[4,2],[8,1,7,1,4,1,7,2,8,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,2,7,-1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,
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-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
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1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[8,1,4,1,7,-1,4,2,8,-1]],[[1,1,2,1],[3,1,1,1,
2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[7,-1,8,1,7,-1,4,1,7,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
7,1,4,1,7,-1,4,1,7,2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[7,1,4,2,7,-1,4,1,7,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,2],[8,1,4,2,8,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,
8,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[7,1,4,-2,7,1,4,-1,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,8,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[
1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1,4,3,7,-1]],[[1,1,2,1],[3,
1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2],[8,1,4,2,8,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
7,2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,
5,-1],[7,1,4,-1,7,-1,4,2,7,1,4,1,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,-1,7,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,
6,-2,5,-1],[7,1,4,-1,7,2,4,1,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[
2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-1,4,2]]],[[[2,1,1,1,2,-3,1,1],[3,4],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,1,2,2],[6,4],[4,1,7,1,4,-1,7,-1]],[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,1,2,2],[4,4],[5,-2]],[[2,1,1,1,2,-3,1,1],[3,4],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1,2,2],[6,4],[4,1,7,1,4,1,7,1]]],[[[2,1,1,1],[1,1,2,2,3,-2],[4,
2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,2],[8,1,7,-2,8,1,4,1,7,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[3,-2,1,1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[2,2,5,1,6,-2,5,-1],[7,2],[4,1,8,-1,4,1,8,
1,4,1,8,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[
2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,-2,5,-1,2,2,5,1],[7,2],[4,1,
8,-1,4,1,8,1,4,1,8,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,-2,3,-1,2,2,3,1],[5,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,2,
6,1,7,1,6,-1,7,1],[8,2],[5,1,9,-1,5,1,9,1,5,1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[
2,2,3,1,4,1,3,-1,4,1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,
1,1],[2,1,5,1,6,-2,5,-1],[4,2],[4,1,7,1],[8,1,7,1,9,1,8,1,9,1,7,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-3,4,-1,
7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,
2,6,1,7,1,6,-1,7,1],[8,2],[5,1,9,1],[9,-1,10,1,5,1,9,-1,10,2]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,1,6,-1,7,1],[8,
2],[5,1,9,-1,5,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,
1],[6,-2,5,-1,2,2,5,1],[7,2],[4,1,8,1],[8,-1,9,1,4,1,8,-1,9,2]],[[1,1,2,1],[2,
2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,-2,5,-1,2,2,5,1],[7,2],[4,1,8,
-1,4,1]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[2,2,5,
1,6,-2,5,-1],[7,2],[4,1,8,1],[8,-1,9,1,4,1,8,-1,9,2]],[[1,1,2,1],[3,-2,1,1,2,
-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[2,2,5,1,6,-2,5,-1],[7,2],[4,1,8,-1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,2,7,-1,4,-1,7,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,
1,6,-2,5,-1],[4,2,7,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,
1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,-1,4,1,7,2,8,1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,3,7,1,4,1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,1,4,1,
7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,-1,4,2]]],[[[1,1,2,1],[2,2],[4,1,1,1,2,-2,3,1,4,1,1,1,2,-2,3,-1],[
5,2]],[[1,1,2,1],[2,2,1,1,2,-1,3,-2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,
3,1,2,2],[4,4],[5,-2]],[[2,1,1,1,2,-3,1,1],[3,4]]],[[[2,1,1,1,2,-3,1,1],[3,
4],[4,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,2],[4,4]]],[[[2,1,1,1,2,-3,1,
1],[3,4],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1,2,2],[6,4],[7,1,4,-1]],[[2,1,1,1,2,
-3,1,1],[3,4],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1,2,2],[6,4],[4,-1,7,-1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,
1,4,1,7,-1,4,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,
6,-2,5,-1],[4,1,7,1],[8,1,4,-2,8,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[8,1,4,-2,8,1]],[[1,1,2,1],[3,1,1,
1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,8,1]]],[[[
1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,
1],[8,1,4,-2,8,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,
1,6,-2,5,-1],[4,1,7,1,4,1,7,-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,
2,1],[2,1,1,1],[6,-2,5,-1,2,2,5,1],[7,2],[4,1,8,1],[9,1,4,1,8,1,4,1,9,-2]],[[
1,1,2,1],[2,1,1,1],[4,-2,3,-1,2,2,3,1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,3,4,-1,7,1]],[[1,1,2,1],[3,1,1,
1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,-1,4,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,1,6,-1,
7,1],[8,2],[5,1,9,1],[10,1,5,1,9,1,5,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,
4,1,3,-1,4,1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[4,2],[4,1,7,2],[8,1,9,1,8,-1,9,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-3,4,-1,7,-1]]],[[[1,
1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[
7,1,8,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[7,1,8,1],[9,1,8,1,9,1,8,1]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,-1,4,-2,
7,-2,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,
5,-1],[4,1,7,-1],[7,1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,3,4,1,7,1,8,1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,2,4,2,7,1,4,-1,
7,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,1],[8,1,4,-1,7,-1,8,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[
2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,-3,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,
3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,2],[8,2,4,2]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,1],[8,1,
4,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,1,5,1,4,-1,6,
-1,5,-1],[7,2]],[[2,1,1,1],[1,1,2,2,3,-2]]],[[[2,1,1,1,2,-3,1,1],[3,4]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,1,2,2],[4,4]]],[[[2,1,1,1],[2,-1,1,1,2,1,1,1,2,2]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,3,1],[2,1,4,1,3,-1,4,1,5,1,6,1,1,1,2,-1,3,1,6,1,
4,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,3,1],[6,1,2,1,4,-1,3,-1,4,1,5,1,6,
1,5,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,
1,6,-2,5,-1],[4,2],[8,2,7,1,4,-1,7,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,-1,4,-1,7,1,4,-1,7,-1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[7,1,8,
1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,
5,1,6,-2,5,-1],[4,1,7,1],[7,1,8,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,-1,4,-1,7,-1,4,1,7,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,2,7,-1,4,-1,7,1,4,-1,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,8,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,
1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,3,7,-2]]],[[[1,1,2,1],[3,1,1,1,2,
-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,2,8,1,7,-1,8,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,
1,4,-1,7,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,
1,6,-2,5,-1],[4,2],[8,1,7,-1,4,1,7,2,8,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,
1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-1],[7,1,8,-1,7,1,8,-1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,4,
1,7,2,8,-1,7,1,8,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,
5,1,6,-2,5,-1],[7,1,4,1,7,-3,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,1,4,1,7,2]],[[1,1,2,1],[3,1,1,1,2,-1,
3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,1,4,3]]],[[[1,1,2,1],[3,
1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,2,7,-1,4,1,7,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
7,2,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,
5,1,6,-2,5,-1],[7,1,4,-1,7,1,4,2,7,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,1],[8,1,4,-2,8,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,
1,7,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,-3,4,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[
1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1],[8,1,7,-1,8,-1,7,-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,-2,5,-1,2,2,1,1,5,
-1],[6,1,4,-1,6,-3,4,-2]],[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,1],[7,1,6,-1,7,-1,6,-1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,2,4,2,7,1,4,
-1,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,2],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,2,-1,3,
-1],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,1,6,-1,7,1],[8,2],[5,1,9,1],[10,1,5,1,9,1,
5,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,1],[5,2]]],[[[1,1,2,
1],[2,2,3,1,2,1,3,1,1,1,2,-1],[1,1,2,1],[2,1,1,1],[6,-2,5,-1,2,2,5,1],[7,2],[
4,1,8,1],[9,1,4,1,8,1,4,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,-2,3,-1,2,2,3,1],[
5,2]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1],[1,1,2,1],[2,1,1,1],[2,2,5,1,6,
-2,5,-1],[7,2],[4,1,8,1],[9,1,4,1,8,1,4,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[4,2],[7,2],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-1,4,1,7,1,4,2]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,
2],[6,2],[7,1,8,-1,7,1,8,-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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,-1,4,1,6,1,4,2]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-2,7,1,4,1,7,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,
1,4,-1,7,2,4,1]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,-2,6,1,4,1,6,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,-1,6,2,4,1]]],[[[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,-2,5,-1,2,2,1,1,5,
-1],[6,2,4,2,6,-1,4,-1,6,-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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,2,4,-1,6,-2]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,2,7,-1,4,-1,7,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,1,7,2,4,-1,7,-2]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[6,2,4,1,6,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,3]]],[[[1,1,2,1],[3,1,1,1,
2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,1,7,1]],[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,3]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,
2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,-4]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,
6,-2,5,-1],[7,1,4,2,7,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,
1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,
2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,-1,8,1,7,-1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,-1,7,1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,2],[8,1,7,-1,4,-1,7,-1,8,-1,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,-1,4,-2,7,-1,4,-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,-2,5,-1,2,2,1,1,5,-1],[4,2],[
7,1,6,-1,4,-1,6,-1,7,-1,6,-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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,1,6,-1,4,-2,6,-1,4,-1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,-1,7,2,
4,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
7,1,4,2,7,-1,4,-1]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,2,3,1,4,-2,3,-1],[5,2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[4,-2,3,-1,2,2,3,1],[5,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,1],[5,2]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,-3,
4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,-2,4,2]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,-1,4,3,6,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[4,2,6,1,4,-1,6,1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-1,4,
3,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,2,7,1,4,-1,7,1]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,-1,4,1,6,1,4,2]],[[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,-2,5,-1,2,2,1,1,5,-1],[4,2],[6,-1,7,1,6,
1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,-1,4,1,7,1,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[4,2],[7,-1,8,1,7,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1,4,2,7,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,2,
4,1]]],[[[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,-2,5,-1,2,
2,1,1,5,-1],[6,1,4,1,6,1,4,2,6,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,-1,6,2,4,1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,2,4,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,
1,7,3]]],[[[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,-2,5,-1,
2,2,1,1,5,-1],[6,1,4,1,6,2,4,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,3]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,3,6,-2,4,-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,-2,5,-1,2,2,1,1,5,
-1],[6,2,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,
6,-2,5,-1],[4,3,7,-2,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[7,2,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,4]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,2,
4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,1,4,-2,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[
2,1,5,1,6,-2,5,-1],[4,1,7,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,8,1]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,2,7,1,4,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,
1,7,-2,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,
-2,5,-1],[4,1,7,1,4,3]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[4,1,7,-2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,
1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,1,4,2,7,-1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,-1,4,
-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,-2,5,-1,2,
2,1,1,5,-1],[6,1,4,-1,6,1,4,2,6,-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,-2,5,-1,2,2,1,1,5,-1],[4,2,6,-1,4,-1]]],[[[1,1,2,1],[3,1,
1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-1,4,2,7,1]],[[
1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,
-1,7,2,4,1]]],[[[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,-2,
5,-1,2,2,1,1,5,-1],[4,1,6,-1,4,2,6,1]],[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,-1,6,2,4,1]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,
-1,6,2,4,-1,6,-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,-2,5,-1,2,2,1,1,5,-1],[4,2,6,1,4,-1,6,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[
1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,2,4,-1,7,-1]],[[1,1,2,1],[
3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,1,4,-1,7,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
7,4,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,
-2,5,-1],[4,1,7,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[
2,1,5,1,6,-2,5,-1],[4,1,7,1,4,-2,7,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,-1,7,-2]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,1,4,-2,6,-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,-2,5,-1,2,2,1,1,5,
-1],[4,-1,6,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,
1,6,-2,5,-1],[4,1,7,4]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[7,1,4,2,7,1,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,-1,7,2,4,1]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,4]],[[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,-2,5,-1,2,2,1,1,5,-1],[
6,1,4,2,6,1,4,-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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,-1,6,2,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[
1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,-1,7,1,4,1]],[[1,1,2,1],[3,1,1,
1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2],[8,1,7,1,8,1]],[[1,
1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,-2,
4,2]]],[[[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,-2,5,-1,2,
2,1,1,5,-1],[4,-1,6,2,4,-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,-2,5,-1,2,2,1,1,5,-1],[6,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,-1,7,2,4,-1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,2]]],[[[1,1,2,
1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,2,4,2]],[[1,
1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,
1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[
4,1,7,2,4,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,
-2,5,-1],[7,1,4,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,
1,5,1,6,-2,5,-1],[4,3,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[7,2,4,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,
1,1,1],[2,1,5,1,6,-2,5,-1],[4,1,7,2,4,1]]],[[[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,-2,5,-1,2,2,1,1,5,-1],[4,1,6,-2,4,-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,-2,5,-1,2,2,1,1,5,-1],[4,-1,6,
-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,5,1,6,-2,5,
-1],[4,1,7,-2,4,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,1],[2,1,
5,1,6,-2,5,-1],[4,-1,7,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,1],[2,1,1,
1],[2,1,5,1,6,-2,5,-1],[7,1,4,1,7,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2],[1,1,2,
1],[2,1,1,1],[2,1,5,1,6,-2,5,-1],[4,2,7,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,
1,1,3,-1],[4,-2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,-2,3,-1],[5,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,
-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "L3(9)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,8],[1,2,3,9],[1,2,3,10],[1,
2,4,11],[1,2,3,12],[1,13],[1,2,5,14],[1,2,6,15],[1,2,6,16],[1,2,5,17],[1,2,6,
18],[1,2,5,6,7,19],[1,2,6,7,20],[1,3,21],[1,3,22],[1,3,23],[1,4,24],[1,4,25],[
1,3,4,26],[1,3,4,27],[1,3,4,28],[1,3,4,29],[1,2,8,30],[1,2,8,31],[1,2,3,5,12,
32],[1,2,3,6,12,33],[1,2,3,7,9,10,12,34],[1,2,4,7,35],[1,36],[1,2,5,6,7,19,
37],[1,2,5,6,7,18,19,20,38],[1,2,5,14,39],[1,2,5,6,7,15,16,19,40],[1,2,5,6,7,
14,17,19,41],[1,2,5,6,7,17,19,42],[1,2,6,16,18,43],[1,2,6,7,16,20,44],[1,2,6,
7,15,18,20,45],[1,2,3,9,21,46],[1,2,3,10,21,47],[1,2,3,10,22,48],[1,2,4,11,24,
49],[1,2,3,9,23,50],[1,2,3,12,21,51],[1,2,3,10,12,23,52],[1,2,3,9,12,22,53],[
1,2,3,4,11,12,27,54],[1,2,3,4,11,12,28,55],[1,2,3,4,11,12,29,56],[1,2,3,4,11,
12,26,57],[1,2,6,8,30,58],[1,2,5,8,30,59],[1,2,7,8,30,31,60],[1,4,13,61],[1,2,
3,6,12,18,62],[1,2,3,5,12,14,32,63],[1,2,3,5,6,7,9,10,12,19,32,33,34,64],[1,2,
3,5,12,17,32,65],[1,2,4,6,7,11,20,35,66],[1,3,21,23,67],[1,3,21,22,68],[1,3,4,
21,26,27,28,29,69],[1,3,4,24,25,27,29,70],[1,3,4,24,25,26,28,71],[1,3,4,29,
72],[1,3,4,26,27,28,73],[1,3,4,22,23,27,74],[1,3,4,22,26,28,29,75],[1,3,4,23,
26,28,29,76],[1,2,5,6,7,14,17,18,19,20,38,41,42,77],[1,2,5,6,7,15,16,18,19,20,
38,40,43,44,45,78],[1,2,5,6,7,14,15,16,17,19,37,40,41,79],[1,2,5,6,7,15,16,17,
19,40,42,80],[1,2,5,6,7,14,17,19,39,41,81],[1,2,5,6,7,17,18,19,20,37,38,42,
82],[1,2,3,5,9,21,46,83],[1,2,3,5,10,21,47,84],[1,2,3,6,10,21,47,85],[1,2,3,6,
10,22,48,86],[1,2,3,6,9,21,46,87],[1,2,3,6,9,23,50,88],[1,2,4,6,11,24,49,89],[
1,2,3,7,9,10,12,21,34,46,47,51,90],[1,2,3,6,12,21,33,51,91],[1,2,3,5,12,21,32,
51,92],[1,2,3,7,9,10,12,22,34,48,53,93],[1,2,3,7,9,10,12,23,34,50,52,94],[1,4,
36,95],[1,2,5,8,14,30,59,96],[1,2,5,8,17,30,59,97],[1,2,5,6,7,8,19,30,31,58,
59,60,98],[1,2,3,6,7,9,10,12,15,18,20,34,45,62,99],[1,2,3,6,12,16,18,33,43,62,
100],[1,2,3,5,6,7,12,18,19,20,32,38,62,101],[1,2,4,5,6,7,19,35,37,102],[1,2,3,
5,6,7,9,10,12,14,17,19,32,33,34,41,63,64,65,103],[1,2,3,9,21,23,46,50,67,
104],[1,2,3,10,21,22,47,48,68,105],[1,2,3,9,12,21,22,46,53,68,106],[1,2,3,10,
12,21,23,47,52,67,107],[1,2,3,4,11,12,24,25,27,29,49,54,56,70,108],[1,2,3,4,
11,12,24,25,26,28,49,55,57,71,109],[1,2,3,4,11,12,29,56,72,110],[1,2,3,4,11,
12,26,27,28,54,55,57,73,111],[1,2,3,4,9,10,11,12,22,23,27,52,53,54,74,112],[1,
2,3,4,9,11,12,22,26,28,29,53,55,56,57,75,113],[1,2,3,4,10,11,12,23,26,28,29,
52,55,56,57,76,114],[1,2,3,10,12,21,23,51,52,67,115],[1,2,3,9,12,21,22,51,53,
68,116],[1,2,3,4,11,12,21,26,27,28,29,51,54,55,56,57,69,117],[1,2,3,4,9,12,22,
23,27,50,53,74,118],[1,2,3,4,10,12,22,23,27,48,52,74,119],[1,2,4,7,8,11,31,35,
120],[1,2,5,6,7,14,15,16,17,19,37,40,41,79,121],[1,2,5,6,7,14,15,16,17,19,37,
39,40,41,79,81,122],[1,2,5,6,7,14,15,16,17,18,19,20,37,38,40,41,42,43,44,45,
77,78,79,80,82,123],[1,2,3,5,9,14,21,46,83,124],[1,2,3,5,10,14,21,47,84,125],[
1,2,3,6,9,15,21,46,87,126],[1,2,3,6,9,16,21,46,87,127],[1,2,3,5,9,17,21,46,83,
128],[1,2,3,6,10,15,21,47,85,129],[1,2,3,6,10,16,21,47,85,130],[1,2,3,6,10,15,
22,48,86,131],[1,2,3,5,10,17,21,47,84,132],[1,2,3,6,9,15,23,50,88,133],[1,2,4,
6,11,16,24,49,89,134],[1,2,3,6,12,15,21,33,51,91,135],[1,2,3,6,12,16,21,33,51,
91,136],[1,2,3,5,6,7,9,10,12,19,21,32,33,34,46,47,51,64,90,91,92,137],[1,2,3,
5,6,7,9,10,12,19,21,34,46,47,51,84,85,90,138],[1,2,3,5,6,7,9,10,12,19,21,34,
46,47,51,83,87,90,139],[1,2,3,5,12,17,21,32,51,65,92,140],[1,2,3,5,12,14,21,
32,51,63,92,141],[1,2,3,6,9,18,23,50,88,142],[1,2,3,6,10,18,22,48,86,143],[1,
2,3,6,7,9,10,12,20,22,34,48,53,86,93,144],[1,2,3,6,7,9,10,12,20,23,34,50,52,
88,94,145],[1,2,5,6,7,8,14,17,19,30,31,41,58,59,60,96,97,98,146],[1,2,5,8,14,
30,39,59,96,147],[1,2,5,8,14,30,39,59,96,148],[1,3,21,22,68,149],[1,3,21,23,
67,150],[1,3,4,21,24,25,26,27,28,29,69,70,71,151],[1,3,4,21,26,27,28,29,69,72,
152],[1,3,4,21,26,27,28,29,69,73,153],[1,3,4,21,22,23,26,27,28,29,67,68,69,74,
154],[1,3,4,21,22,26,27,28,29,68,69,75,155],[1,3,4,21,23,26,27,28,29,67,69,76,
156],[1,13,36,157],[1,2,3,5,6,7,12,14,17,18,19,20,32,38,41,42,62,63,77,101,
158],[1,2,3,5,6,7,12,17,18,19,20,32,37,38,42,62,65,82,101,159],[1,2,3,5,6,7,9,
10,12,15,16,18,19,20,32,33,34,38,40,43,44,45,62,64,78,99,100,101,160],[1,2,4,
5,6,7,11,17,18,19,20,35,37,38,42,66,82,102,161],[1,2,3,5,9,12,21,22,32,46,53,
68,83,106,162],[1,2,3,5,10,12,21,23,32,47,52,67,84,107,163],[1,2,3,4,5,11,12,
29,32,56,72,110,164],[1,2,3,6,10,12,21,23,33,47,52,67,85,107,165],[1,2,3,6,9,
12,21,22,33,46,53,68,87,106,166],[1,2,3,4,6,11,12,24,25,27,29,33,49,54,56,70,
89,108,167],[1,2,3,4,6,11,12,24,25,26,28,33,49,55,57,71,89,109,168],[1,2,3,7,
9,10,12,21,23,34,46,47,50,51,52,67,90,94,104,107,115,169],[1,2,3,7,9,10,12,21,
22,34,46,47,48,51,53,68,90,93,105,106,116,170],[1,2,3,4,7,9,10,11,12,22,23,27,
34,48,50,52,53,54,74,93,94,112,118,119,171],[1,2,3,6,8,12,18,30,33,58,62,
172],[1,2,5,6,7,14,15,16,17,18,19,20,37,38,39,40,41,42,43,44,45,77,78,79,80,
81,82,121,122,123,173],[1,2,3,5,6,7,9,10,12,15,16,19,21,34,40,46,47,51,83,87,
90,126,127,139,174],[1,2,3,5,6,7,9,10,12,14,17,19,21,34,41,46,47,51,84,85,90,
125,132,138,175],[1,2,3,5,6,7,9,10,12,14,17,19,21,34,41,46,47,51,83,87,90,124,
128,139,176],[1,2,3,5,6,7,9,10,12,15,16,19,21,34,40,46,47,51,84,85,90,129,130,
138,177],[1,2,3,5,6,7,9,10,12,19,21,32,33,34,37,46,47,51,64,83,84,85,87,90,91,
92,137,138,139,178],[1,2,3,5,6,7,9,10,12,14,17,19,21,32,33,34,41,46,47,51,63,
64,65,90,91,92,103,137,140,141,179],[1,2,3,5,6,7,9,10,12,15,16,19,21,32,33,34,
40,46,47,51,64,90,91,92,135,136,137,180],[1,2,3,6,7,9,10,12,15,18,20,23,34,45,
50,52,88,94,133,142,145,181],[1,2,3,6,7,9,10,12,15,18,20,22,34,45,48,53,86,93,
131,143,144,182],[1,2,5,6,7,8,14,17,19,30,31,39,41,58,59,60,81,96,97,98,146,
147,148,183],[1,2,3,9,21,23,46,50,67,104,150,184],[1,2,3,10,21,22,47,48,68,
105,149,185],[1,2,3,9,12,21,22,46,51,53,68,106,116,149,186],[1,2,3,10,12,21,
23,47,51,52,67,107,115,150,187],[1,2,3,4,11,12,21,24,25,26,27,28,29,49,51,54,
55,56,57,69,70,71,108,109,117,151,188],[1,2,3,4,9,12,21,22,23,26,27,28,29,46,
50,53,67,68,69,74,104,106,118,154,189],[1,2,3,4,10,12,21,22,23,26,27,28,29,47,
48,52,67,68,69,74,105,107,119,154,190],[1,2,3,4,11,12,21,26,27,28,29,51,54,55,
56,57,69,72,110,117,152,191],[1,2,3,4,11,12,21,26,27,28,29,51,54,55,56,57,69,
73,111,117,153,192],[1,2,3,4,9,10,11,12,21,22,23,26,27,28,29,51,52,53,54,55,
56,57,67,68,69,74,112,115,116,117,154,193],[1,2,3,4,9,11,12,21,22,26,27,28,29,
51,53,54,55,56,57,68,69,75,113,116,117,155,194],[1,2,3,4,10,11,12,21,23,26,27,
28,29,51,52,54,55,56,57,67,69,76,114,115,117,156,195],[1,2,4,6,7,11,13,20,35,
61,66,196],[1,2,4,5,6,7,14,15,16,17,19,35,37,40,41,79,102,121,197],[1,2,3,5,6,
7,9,10,12,14,15,16,17,18,19,20,32,33,34,37,38,40,41,42,43,44,45,62,63,64,65,
77,78,79,80,82,99,100,101,103,123,158,159,160,198],[1,2,3,5,10,12,14,21,23,32,
47,52,63,67,84,107,125,163,199],[1,2,3,5,9,12,14,21,22,32,46,53,63,68,83,106,
124,162,200],[1,2,3,5,6,7,9,10,12,19,21,22,32,33,34,46,47,48,51,53,64,68,83,
87,90,93,105,106,116,139,162,166,170,201],[1,2,3,5,6,7,9,10,12,19,21,23,32,33,
34,46,47,50,51,52,64,67,84,85,90,94,104,107,115,138,163,165,169,202],[1,2,3,5,
9,12,17,21,22,32,46,53,65,68,83,106,128,162,203],[1,2,3,5,10,12,17,21,23,32,
47,52,65,67,84,107,132,163,204],[1,2,3,4,6,9,12,18,22,23,27,50,53,62,74,88,
118,142,205],[1,2,3,4,6,10,12,18,22,23,27,48,52,62,74,86,119,143,206],[1,2,3,
4,5,11,12,17,29,32,56,65,72,110,164,207],[1,2,3,5,6,7,8,9,10,12,18,19,20,30,
31,32,33,34,38,58,59,60,62,64,98,101,172,208],[1,3,4,21,22,23,26,27,28,29,67,
68,69,74,76,150,154,156,209],[1,3,4,21,22,23,26,27,28,29,67,68,69,74,75,149,
154,155,210],[1,3,4,21,22,23,24,25,26,27,28,29,67,68,69,70,71,72,73,74,75,76,
151,152,153,154,155,156,211],[1,4,13,36,61,95,157,212],[1,2,3,5,6,7,9,10,12,
14,15,16,17,19,21,32,33,34,37,40,41,46,47,51,64,79,83,84,85,87,90,91,92,124,
126,127,128,137,138,139,174,176,178,213],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,
21,32,33,34,37,40,41,46,47,51,64,79,83,84,85,87,90,91,92,125,129,130,132,137,
138,139,175,177,178,214],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,32,33,34,37,
40,41,46,47,51,63,64,65,79,83,84,85,87,90,91,92,103,135,136,137,138,139,140,
141,178,179,180,215],[1,2,3,5,10,21,22,47,48,68,84,105,149,185,216],[1,2,3,5,
9,21,23,46,50,67,83,104,150,184,217],[1,2,3,6,9,21,23,46,50,67,87,88,104,150,
184,218],[1,2,3,6,10,21,22,47,48,68,85,86,105,149,185,219],[1,2,3,7,9,10,12,
21,23,34,46,47,50,51,52,67,90,94,104,107,115,150,169,184,187,220],[1,2,3,7,9,
10,12,21,22,34,46,47,48,51,53,68,90,93,105,106,116,149,170,185,186,221],[1,2,
3,5,10,12,21,23,32,47,51,52,67,84,92,107,115,150,163,187,222],[1,2,3,5,9,12,
21,22,32,46,51,53,68,83,92,106,116,149,162,186,223],[1,2,3,6,9,12,21,22,33,46,
51,53,68,87,91,106,116,149,166,186,224],[1,2,3,6,10,12,21,23,33,47,51,52,67,
85,91,107,115,150,165,187,225],[1,2,3,4,6,11,12,21,24,25,26,27,28,29,33,49,51,
54,55,56,57,69,70,71,89,91,108,109,117,151,167,168,188,226],[1,2,3,4,5,11,12,
21,26,27,28,29,32,51,54,55,56,57,69,72,92,110,117,152,164,191,227],[1,2,3,4,7,
9,10,11,12,21,22,23,26,27,28,29,34,46,47,48,50,51,52,53,54,55,56,57,67,68,69,
74,90,93,94,104,105,106,107,112,115,116,117,118,119,154,169,170,171,189,190,
193,228],[1,2,4,6,7,8,11,20,24,31,35,49,66,89,120,229],[1,2,4,5,6,7,11,14,15,
16,17,18,19,20,35,37,38,39,40,41,42,43,44,45,66,77,78,79,80,81,82,102,121,122,
123,161,173,197,230],[1,3,8,21,23,67,150,231],[1,3,8,21,22,68,149,232],[1,2,3,
5,6,7,9,10,12,14,17,19,21,22,32,33,34,41,46,47,48,51,53,63,64,65,68,83,87,90,
93,103,105,106,116,124,128,139,162,166,170,176,200,201,203,233],[1,2,3,5,6,7,
9,10,12,14,17,19,21,23,32,33,34,41,46,47,50,51,52,63,64,65,67,84,85,90,94,103,
104,107,115,125,132,138,163,165,169,175,199,202,204,234],[1,2,3,4,6,7,9,10,11,
12,15,18,20,22,23,27,34,45,48,50,52,53,54,62,74,86,93,94,99,112,118,119,131,
143,144,171,182,206,235],[1,2,3,4,6,7,9,10,11,12,15,18,20,22,23,27,34,45,48,
50,52,53,54,62,74,88,93,94,99,112,118,119,133,142,145,171,181,205,236],[1,2,3,
5,6,7,8,9,10,12,14,17,18,19,20,30,31,32,33,34,38,41,42,58,59,60,62,63,64,65,
77,96,97,98,101,103,146,158,172,208,237],[1,2,3,4,10,12,21,22,23,26,27,28,29,
47,48,52,67,68,69,74,75,105,107,119,149,154,155,185,190,210,238],[1,2,3,4,9,
12,21,22,23,26,27,28,29,46,50,53,67,68,69,74,76,104,106,118,150,154,156,184,
189,209,239],[1,2,3,4,9,10,11,12,21,22,23,26,27,28,29,46,51,52,53,54,55,56,57,
67,68,69,74,75,106,112,113,115,116,117,149,154,155,186,193,194,210,240],[1,2,
3,4,9,10,11,12,21,22,23,26,27,28,29,47,51,52,53,54,55,56,57,67,68,69,74,76,
107,112,114,115,116,117,150,154,156,187,193,195,209,241],[1,2,3,4,9,10,11,12,
21,22,23,24,25,26,27,28,29,49,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,
76,108,109,110,111,112,113,114,115,116,117,151,152,153,154,155,156,188,191,
192,193,194,195,211,242],[1,2,3,4,9,12,21,22,23,26,27,28,29,46,50,51,53,67,68,
69,74,75,104,106,116,118,149,154,155,186,189,210,243],[1,2,3,4,10,12,21,22,23,
26,27,28,29,47,48,51,52,67,68,69,74,76,105,107,115,119,150,154,156,187,190,
209,244],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,32,33,34,37,40,41,46,47,51,63,
64,65,79,83,84,85,87,90,91,92,103,121,124,125,126,127,128,129,130,132,135,136,
137,138,139,140,141,174,175,176,177,178,179,180,213,214,215,245],[1,2,3,5,10,
14,21,22,47,48,68,84,105,125,149,185,216,246],[1,2,3,5,9,14,21,23,46,50,67,83,
104,124,150,184,217,247],[1,2,3,6,10,15,21,22,47,48,68,85,86,105,129,131,149,
185,219,248],[1,2,3,6,9,15,21,23,46,50,67,87,88,104,126,133,150,184,218,249],[
1,2,3,6,10,18,21,22,47,48,68,85,86,105,143,149,185,219,250],[1,2,3,6,9,18,21,
23,46,50,67,87,88,104,142,150,184,218,251],[1,2,3,6,10,16,21,22,47,48,68,85,
86,105,130,149,185,219,252],[1,2,3,5,10,17,21,22,47,48,68,84,105,132,149,185,
216,253],[1,2,3,6,9,16,21,23,46,50,67,87,88,104,127,150,184,218,254],[1,2,3,5,
9,17,21,23,46,50,67,83,104,128,150,184,217,255],[1,2,3,5,6,7,9,10,12,19,21,23,
34,46,47,50,51,52,67,83,87,88,90,94,104,107,115,139,150,169,184,187,217,218,
220,256],[1,2,3,5,6,7,9,10,12,19,21,22,34,46,47,48,51,53,68,84,85,86,90,93,
105,106,116,138,149,170,185,186,216,219,221,257],[1,2,3,5,6,7,9,10,12,19,21,
23,32,33,34,46,47,50,51,52,64,67,84,85,90,91,92,94,104,107,115,137,138,150,
163,165,169,184,187,202,220,222,225,258],[1,2,3,5,6,7,9,10,12,19,21,22,32,33,
34,46,47,48,51,53,64,68,83,87,90,91,92,93,105,106,116,137,139,149,162,166,170,
185,186,201,221,223,224,259],[1,2,3,6,9,12,16,21,22,33,46,51,53,68,87,91,106,
116,127,136,149,166,186,224,260],[1,2,3,6,9,12,15,21,22,33,46,51,53,68,87,91,
106,116,126,135,149,166,186,224,261],[1,2,3,6,10,12,16,21,23,33,47,51,52,67,
85,91,107,115,130,136,150,165,187,225,262],[1,2,3,6,10,12,15,21,23,33,47,51,
52,67,85,91,107,115,129,135,150,165,187,225,263],[1,2,3,4,6,11,12,16,21,24,25,
26,27,28,29,33,49,51,54,55,56,57,69,70,71,89,91,108,109,117,134,136,151,167,
168,188,226,264],[1,2,3,5,9,12,14,21,22,32,46,51,53,63,68,83,92,106,116,124,
141,149,162,186,200,223,265],[1,2,3,5,10,12,14,21,23,32,47,51,52,63,67,84,92,
107,115,125,141,150,163,187,199,222,266],[1,2,3,6,7,9,10,12,20,21,22,34,46,47,
48,51,53,68,85,86,90,93,105,106,116,144,149,170,185,186,219,221,267],[1,2,3,6,
7,9,10,12,20,21,23,34,46,47,50,51,52,67,87,88,90,94,104,107,115,145,150,169,
184,187,218,220,268],[1,2,3,5,9,12,17,21,22,32,46,51,53,65,68,83,92,106,116,
128,140,149,162,186,203,223,269],[1,2,3,5,10,12,17,21,23,32,47,51,52,65,67,84,
92,107,115,132,140,150,163,187,204,222,270],[1,2,3,4,5,11,12,17,21,26,27,28,
29,32,51,54,55,56,57,65,69,72,92,110,117,140,152,164,191,207,227,271],[1,2,3,
6,8,12,16,18,21,30,33,43,51,58,62,91,100,136,172,272],[1,2,4,6,7,8,11,16,20,
24,30,31,35,44,49,60,66,89,120,134,229,273],[1,3,4,21,22,23,24,25,26,27,28,29,
67,68,69,70,71,72,73,74,75,76,149,150,151,152,153,154,155,156,209,210,211,
274],[1,2,3,8,9,21,23,30,46,50,67,104,150,184,231,275],[1,2,3,8,10,21,22,30,
47,48,68,105,149,185,232,276],[1,2,3,8,10,12,21,23,31,47,51,52,67,107,115,150,
187,231,277],[1,2,3,8,9,12,21,22,31,46,51,53,68,106,116,149,186,232,278],[1,2,
3,4,5,10,12,21,22,23,26,27,28,29,32,47,48,52,67,68,69,74,75,84,105,107,119,
149,154,155,163,185,190,210,216,238,279],[1,2,3,4,5,9,12,21,22,23,26,27,28,29,
32,46,50,53,67,68,69,74,76,83,104,106,118,150,154,156,162,184,189,209,217,239,
280],[1,2,3,4,7,9,10,11,12,21,22,23,26,27,28,29,34,46,47,48,50,51,52,53,54,55,
56,57,67,68,69,74,76,90,93,94,104,105,106,107,112,114,115,116,117,118,119,150,
154,156,169,170,171,184,187,189,190,193,195,209,220,228,239,241,244,281],[1,2,
3,4,7,9,10,11,12,21,22,23,26,27,28,29,34,46,47,48,50,51,52,53,54,55,56,57,67,
68,69,74,75,90,93,94,104,105,106,107,112,113,115,116,117,118,119,149,154,155,
169,170,171,185,186,189,190,193,194,210,221,228,238,240,243,282],[1,2,3,4,6,9,
12,21,22,23,26,27,28,29,33,46,50,53,67,68,69,74,76,87,88,104,106,118,150,154,
156,166,184,189,209,218,239,283],[1,2,3,4,6,10,12,21,22,23,26,27,28,29,33,47,
48,52,67,68,69,74,75,85,86,105,107,119,149,154,155,165,185,190,210,219,238,
284],[1,2,3,5,6,7,9,10,12,18,19,20,21,22,34,38,46,47,48,51,53,68,84,85,86,90,
93,105,106,116,138,143,144,149,170,185,186,216,219,221,250,257,267,285],[1,2,
3,5,6,7,9,10,12,18,19,20,21,23,34,38,46,47,50,51,52,67,83,87,88,90,94,104,107,
115,139,142,145,150,169,184,187,217,218,220,251,256,268,286],[1,2,3,5,10,14,
21,22,39,47,48,68,84,105,125,149,185,216,246,287],[1,2,3,5,9,14,21,23,39,46,
50,67,83,104,124,150,184,217,247,288],[1,2,3,5,6,7,9,10,12,15,16,19,21,22,34,
40,46,47,48,51,53,68,84,85,86,90,93,105,106,116,129,130,131,138,149,170,177,
185,186,216,219,221,248,252,257,289],[1,2,3,5,6,7,9,10,12,14,17,19,21,23,34,
41,46,47,50,51,52,67,83,87,88,90,94,104,107,115,124,128,139,150,169,176,184,
187,217,218,220,247,255,256,290],[1,2,3,5,6,7,9,10,12,14,17,19,21,22,34,41,46,
47,48,51,53,68,84,85,86,90,93,105,106,116,125,132,138,149,170,175,185,186,216,
219,221,246,253,257,291],[1,2,3,5,6,7,9,10,12,15,16,19,21,23,34,40,46,47,50,
51,52,67,83,87,88,90,94,104,107,115,126,127,133,139,150,169,174,184,187,217,
218,220,249,254,256,292],[1,2,3,5,6,7,9,10,12,19,21,23,32,33,34,37,46,47,50,
51,52,64,67,83,84,85,87,88,90,91,92,94,104,107,115,137,138,139,150,163,165,
169,178,184,187,202,217,218,220,222,225,256,258,293],[1,2,3,5,6,7,9,10,12,19,
21,22,32,33,34,37,46,47,48,51,53,64,68,83,84,85,86,87,90,91,92,93,105,106,116,
137,138,139,149,162,166,170,178,185,186,201,216,219,221,223,224,257,259,294],[
1,2,3,6,10,16,18,21,22,43,47,48,68,85,86,105,130,143,149,185,219,250,252,
295],[1,2,3,6,9,16,18,21,23,43,46,50,67,87,88,104,127,142,150,184,218,251,254,
296],[1,2,3,6,7,9,10,12,16,20,21,23,34,44,46,47,50,51,52,67,87,88,90,94,104,
107,115,127,145,150,169,184,187,218,220,254,268,297],[1,2,3,6,7,9,10,12,16,20,
21,22,34,44,46,47,48,51,53,68,85,86,90,93,105,106,116,130,144,149,170,185,186,
219,221,252,267,298],[1,2,3,5,6,7,9,10,12,15,16,19,21,23,32,33,34,40,46,47,50,
51,52,64,67,84,85,90,91,92,94,104,107,115,129,130,135,136,137,138,150,163,165,
169,177,180,184,187,202,220,222,225,258,262,263,299],[1,2,3,5,6,7,9,10,12,15,
16,19,21,22,32,33,34,40,46,47,48,51,53,64,68,83,87,90,91,92,93,105,106,116,
126,127,135,136,137,139,149,162,166,170,174,180,185,186,201,221,223,224,259,
260,261,300],[1,2,3,5,6,7,9,10,12,14,17,19,21,22,32,33,34,41,46,47,48,51,53,
63,64,65,68,83,87,90,91,92,93,103,105,106,116,124,128,137,139,140,141,149,162,
166,170,176,179,185,186,200,201,203,221,223,224,233,259,265,269,301],[1,2,3,5,
6,7,9,10,12,14,17,19,21,23,32,33,34,41,46,47,50,51,52,63,64,65,67,84,85,90,91,
92,94,103,104,107,115,125,132,137,138,140,141,150,163,165,169,175,179,184,187,
199,202,204,220,222,225,234,258,266,270,302],[1,2,3,5,6,7,9,10,12,17,19,21,22,
34,42,46,47,48,51,53,68,84,85,86,90,93,105,106,116,132,138,149,170,185,186,
216,219,221,253,257,303],[1,2,3,5,6,7,9,10,12,17,19,21,23,34,42,46,47,50,51,
52,67,83,87,88,90,94,104,107,115,128,139,150,169,184,187,217,218,220,255,256,
304],[1,2,3,6,7,9,10,12,15,18,20,21,22,34,45,46,47,48,51,53,68,85,86,90,93,
105,106,116,129,131,143,144,149,170,182,185,186,219,221,248,250,267,305],[1,2,
3,6,7,9,10,12,15,18,20,21,23,34,45,46,47,50,51,52,67,87,88,90,94,104,107,115,
126,133,142,145,150,169,181,184,187,218,220,249,251,268,306],[1,2,3,5,6,7,8,9,
10,12,15,16,18,19,20,21,30,31,32,33,34,38,40,43,44,45,46,47,51,58,59,60,62,64,
78,90,91,92,98,99,100,101,135,136,137,160,172,180,208,272,307],[1,2,3,4,9,12,
21,22,23,24,25,26,27,28,29,46,50,51,53,67,68,69,70,71,72,73,74,75,76,104,106,
116,118,149,150,151,152,153,154,155,156,184,186,189,209,210,211,239,243,274,
308],[1,2,3,4,10,12,21,22,23,24,25,26,27,28,29,47,48,51,52,67,68,69,70,71,72,
73,74,75,76,105,107,115,119,149,150,151,152,153,154,155,156,185,187,190,209,
210,211,238,244,274,309],[1,2,3,4,9,10,11,12,21,22,23,24,25,26,27,28,29,46,47,
49,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,106,107,108,109,110,111,
112,113,114,115,116,117,149,150,151,152,153,154,155,156,186,187,188,191,192,
193,194,195,209,210,211,240,241,242,274,310],[1,2,3,6,8,9,21,23,30,46,50,58,
67,87,88,104,150,184,218,231,275,311],[1,2,3,6,8,10,21,22,30,47,48,58,68,85,
86,105,149,185,219,232,276,312],[1,2,3,5,8,10,21,22,30,47,48,59,68,84,105,149,
185,216,232,276,313],[1,2,3,5,8,9,21,23,30,46,50,59,67,83,104,150,184,217,231,
275,314],[1,2,3,7,8,9,10,12,21,22,30,31,34,46,47,48,51,53,60,68,90,93,105,106,
116,149,170,185,186,221,232,276,278,315],[1,2,3,7,8,9,10,12,21,23,30,31,34,46,
47,50,51,52,60,67,90,94,104,107,115,150,169,184,187,220,231,275,277,316],[1,2,
3,4,6,9,12,18,21,22,23,26,27,28,29,46,50,53,62,67,68,69,74,76,87,88,104,106,
118,142,150,154,156,184,189,205,209,218,239,251,317],[1,2,3,4,6,10,12,18,21,
22,23,26,27,28,29,47,48,52,62,67,68,69,74,75,85,86,105,107,119,143,149,154,
155,185,190,206,210,219,238,250,318],[1,2,3,4,5,10,12,14,21,22,23,26,27,28,29,
32,47,48,52,63,67,68,69,74,75,84,105,107,119,125,149,154,155,163,185,190,199,
210,216,238,246,279,319],[1,2,3,4,5,9,12,14,21,22,23,26,27,28,29,32,46,50,53,
63,67,68,69,74,76,83,104,106,118,124,150,154,156,162,184,189,200,209,217,239,
247,280,320],[1,2,3,4,5,6,7,9,10,11,12,19,21,22,23,26,27,28,29,32,33,34,46,47,
48,50,51,52,53,54,55,56,57,64,67,68,69,74,76,83,87,88,90,93,94,104,105,106,
107,112,114,115,116,117,118,119,139,150,154,156,162,166,169,170,171,184,187,
189,190,193,195,201,209,217,218,220,228,239,241,244,256,280,281,283,321],[1,2,
3,4,5,6,7,9,10,11,12,19,21,22,23,26,27,28,29,32,33,34,46,47,48,50,51,52,53,54,
55,56,57,64,67,68,69,74,75,84,85,86,90,93,94,104,105,106,107,112,113,115,116,
117,118,119,138,149,154,155,163,165,169,170,171,185,186,189,190,193,194,202,
210,216,219,221,228,238,240,243,257,279,282,284,322],[1,2,3,4,5,10,12,17,21,
22,23,26,27,28,29,32,47,48,52,65,67,68,69,74,75,84,105,107,119,132,149,154,
155,163,185,190,204,210,216,238,253,279,323],[1,2,3,4,5,9,12,17,21,22,23,26,
27,28,29,32,46,50,53,65,67,68,69,74,76,83,104,106,118,128,150,154,156,162,184,
189,203,209,217,239,255,280,324],[1,2,3,5,6,7,9,10,12,14,17,18,19,20,21,22,34,
38,41,42,46,47,48,51,53,68,77,84,85,86,90,93,105,106,116,125,132,138,143,144,
149,170,175,185,186,216,219,221,246,250,253,257,267,285,291,303,325],[1,2,3,5,
6,7,9,10,12,14,17,18,19,20,21,23,34,38,41,42,46,47,50,51,52,67,77,83,87,88,90,
94,104,107,115,124,128,139,142,145,150,169,176,184,187,217,218,220,247,251,
255,256,268,286,290,304,326],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,23,32,33,
34,37,40,41,46,47,50,51,52,64,67,79,83,84,85,87,88,90,91,92,94,104,107,115,
124,126,127,128,133,137,138,139,150,163,165,169,174,176,178,184,187,202,213,
217,218,220,222,225,247,249,254,255,256,258,290,292,293,327],[1,2,3,5,6,7,9,
10,12,14,15,16,17,19,21,22,32,33,34,37,40,41,46,47,48,51,53,64,68,79,83,84,85,
86,87,90,91,92,93,105,106,116,125,129,130,131,132,137,138,139,149,162,166,170,
175,177,178,185,186,201,214,216,219,221,223,224,246,248,252,253,257,259,289,
291,294,328],[1,2,3,5,6,7,9,10,12,15,16,17,19,21,22,34,40,42,46,47,48,51,53,
68,80,84,85,86,90,93,105,106,116,129,130,131,132,138,149,170,177,185,186,216,
219,221,248,252,253,257,289,303,329],[1,2,3,5,6,7,9,10,12,15,16,17,19,21,23,
34,40,42,46,47,50,51,52,67,80,83,87,88,90,94,104,107,115,126,127,128,133,139,
150,169,174,184,187,217,218,220,249,254,255,256,292,304,330],[1,2,3,5,6,7,9,
10,12,15,16,18,19,20,21,23,34,38,40,43,44,45,46,47,50,51,52,67,78,83,87,88,90,
94,104,107,115,126,127,133,139,142,145,150,169,174,181,184,187,217,218,220,
249,251,254,256,268,286,292,296,297,306,331],[1,2,3,5,6,7,9,10,12,15,16,18,19,
20,21,22,34,38,40,43,44,45,46,47,48,51,53,68,78,84,85,86,90,93,105,106,116,
129,130,131,138,143,144,149,170,177,182,185,186,216,219,221,248,250,252,257,
267,285,289,295,298,305,332],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,23,32,33,
34,37,40,41,46,47,50,51,52,63,64,65,67,79,83,84,85,87,88,90,91,92,94,103,104,
107,115,125,129,130,132,135,136,137,138,139,140,141,150,163,165,169,175,177,
178,179,180,184,187,199,202,204,214,215,217,218,220,222,225,234,256,258,262,
263,266,270,293,299,302,333],[1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,22,32,33,
34,37,40,41,46,47,48,51,53,63,64,65,68,79,83,84,85,86,87,90,91,92,93,103,105,
106,116,124,126,127,128,135,136,137,138,139,140,141,149,162,166,170,174,176,
178,179,180,185,186,200,201,203,213,215,216,219,221,223,224,233,257,259,260,
261,265,269,294,300,301,334],[1,2,3,5,6,7,9,10,12,14,17,19,21,22,34,39,41,46,
47,48,51,53,68,81,84,85,86,90,93,105,106,116,125,132,138,149,170,175,185,186,
216,219,221,246,253,257,287,291,335],[1,2,3,5,6,7,9,10,12,14,17,19,21,23,34,
39,41,46,47,50,51,52,67,81,83,87,88,90,94,104,107,115,124,128,139,150,169,176,
184,187,217,218,220,247,255,256,288,290,336],[1,2,3,5,6,7,9,10,12,17,18,19,20,
21,22,32,33,34,37,38,42,46,47,48,51,53,64,68,82,83,84,85,86,87,90,91,92,93,
105,106,116,132,137,138,139,143,144,149,162,166,170,178,185,186,201,216,219,
221,223,224,250,253,257,259,267,285,294,303,337],[1,2,3,5,6,7,9,10,12,17,18,
19,20,21,23,32,33,34,37,38,42,46,47,50,51,52,64,67,82,83,84,85,87,88,90,91,92,
94,104,107,115,128,137,138,139,142,145,150,163,165,169,178,184,187,202,217,
218,220,222,225,251,255,256,258,268,286,293,304,338],[1,2,3,5,6,7,8,9,10,12,
14,15,16,17,18,19,20,21,30,31,32,33,34,37,38,40,41,42,43,44,45,46,47,51,58,59,
60,62,63,64,65,77,78,79,80,82,83,84,85,87,90,91,92,96,97,98,99,100,101,103,
123,135,136,137,138,139,140,141,146,158,159,160,172,178,179,180,198,208,215,
237,272,307,339],[1,2,3,4,7,9,10,11,12,21,22,23,24,25,26,27,28,29,34,46,47,48,
49,50,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,90,93,94,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,149,150,151,152,153,154,
155,156,169,170,171,184,185,186,187,188,189,190,191,192,193,194,195,209,210,
211,220,221,228,238,239,240,241,242,243,244,274,281,282,308,309,310,340],[1,2,
3,4,6,9,12,21,22,23,24,25,26,27,28,29,33,46,50,51,53,67,68,69,70,71,72,73,74,
75,76,87,88,91,104,106,116,118,149,150,151,152,153,154,155,156,166,184,186,
189,209,210,211,218,224,239,243,274,283,308,341],[1,2,3,4,6,10,12,21,22,23,24,
25,26,27,28,29,33,47,48,51,52,67,68,69,70,71,72,73,74,75,76,85,86,91,105,107,
115,119,149,150,151,152,153,154,155,156,165,185,187,190,209,210,211,219,225,
238,244,274,284,309,342],[1,2,3,4,6,9,10,11,12,21,22,23,24,25,26,27,28,29,33,
46,47,49,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,85,87,89,91,106,
107,108,109,110,111,112,113,114,115,116,117,149,150,151,152,153,154,155,156,
165,166,167,168,186,187,188,191,192,193,194,195,209,210,211,224,225,226,240,
241,242,274,310,343],[1,2,3,4,5,9,10,11,12,21,22,23,24,25,26,27,28,29,32,46,
47,49,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,83,84,92,106,107,108,
109,110,111,112,113,114,115,116,117,149,150,151,152,153,154,155,156,162,163,
164,186,187,188,191,192,193,194,195,209,210,211,222,223,227,240,241,242,274,
310,344],[1,2,3,4,5,10,12,21,22,23,24,25,26,27,28,29,32,47,48,51,52,67,68,69,
70,71,72,73,74,75,76,84,92,105,107,115,119,149,150,151,152,153,154,155,156,
163,185,187,190,209,210,211,216,222,238,244,274,279,309,345],[1,2,3,4,5,9,12,
21,22,23,24,25,26,27,28,29,32,46,50,51,53,67,68,69,70,71,72,73,74,75,76,83,92,
104,106,116,118,149,150,151,152,153,154,155,156,162,184,186,189,209,210,211,
217,223,239,243,274,280,308,346],[1,2,3,5,6,7,8,9,10,12,19,21,22,30,31,34,46,
47,48,51,53,58,59,60,68,84,85,86,90,93,98,105,106,116,138,149,170,185,186,216,
219,221,232,257,276,278,312,313,315,347],[1,2,3,5,6,7,8,9,10,12,19,21,23,30,
31,34,46,47,50,51,52,58,59,60,67,83,87,88,90,94,98,104,107,115,139,150,169,
184,187,217,218,220,231,256,275,277,311,314,316,348],[1,2,3,5,8,10,17,21,22,
30,47,48,59,68,84,97,105,132,149,185,216,232,253,276,313,349],[1,2,3,5,8,9,17,
21,23,30,46,50,59,67,83,97,104,128,150,184,217,231,255,275,314,350],[1,2,3,5,
8,9,14,21,23,30,46,50,59,67,83,96,104,124,150,184,217,231,247,275,314,351],[1,
2,3,5,8,10,14,21,22,30,47,48,59,68,84,96,105,125,149,185,216,232,246,276,313,
352],[1,2,3,4,6,10,12,16,18,21,22,23,26,27,28,29,33,43,47,48,52,62,67,68,69,
74,75,85,86,100,105,107,119,130,143,149,154,155,165,185,190,206,210,219,238,
250,252,284,295,318,353],[1,2,3,4,6,9,12,16,18,21,22,23,26,27,28,29,33,43,46,
50,53,62,67,68,69,74,76,87,88,100,104,106,118,127,142,150,154,156,166,184,189,
205,209,218,239,251,254,283,296,317,354],[1,2,3,4,5,6,7,9,10,12,18,19,20,21,
22,23,26,27,28,29,32,34,38,46,47,48,51,52,53,62,67,68,69,74,75,84,85,86,90,93,
101,105,106,107,116,119,138,143,144,149,154,155,163,170,185,186,190,206,210,
216,219,221,238,250,257,267,279,285,318,355],[1,2,3,4,5,6,7,9,10,12,18,19,20,
21,22,23,26,27,28,29,32,34,38,46,47,50,51,52,53,62,67,68,69,74,76,83,87,88,90,
94,101,104,106,107,115,118,139,142,145,150,154,156,162,169,184,187,189,205,
209,217,218,220,239,251,256,268,280,286,317,356],[1,2,3,4,6,7,9,10,11,12,15,
18,20,21,22,23,26,27,28,29,34,45,46,47,48,50,51,52,53,54,55,56,57,62,67,68,69,
74,75,85,86,90,93,94,99,104,105,106,107,112,113,115,116,117,118,119,129,131,
143,144,149,154,155,169,170,171,182,185,186,189,190,193,194,206,210,219,221,
228,235,238,240,243,248,250,267,282,305,318,357],[1,2,3,4,6,7,9,10,11,12,15,
18,20,21,22,23,26,27,28,29,34,45,46,47,48,50,51,52,53,54,55,56,57,62,67,68,69,
74,76,87,88,90,93,94,99,104,105,106,107,112,114,115,116,117,118,119,126,133,
142,145,150,154,156,169,170,171,181,184,187,189,190,193,195,205,209,218,220,
228,236,239,241,244,249,251,268,281,306,317,358],[1,2,3,4,5,6,7,9,10,11,12,14,
17,19,21,22,23,26,27,28,29,32,33,34,41,46,47,48,50,51,52,53,54,55,56,57,63,64,
65,67,68,69,74,76,83,87,88,90,93,94,103,104,105,106,107,112,114,115,116,117,
118,119,124,128,139,150,154,156,162,166,169,170,171,176,184,187,189,190,193,
195,200,201,203,209,217,218,220,228,233,239,241,244,247,255,256,280,281,283,
290,320,321,324,359],[1,2,3,4,5,6,7,9,10,11,12,14,17,19,21,22,23,26,27,28,29,
32,33,34,41,46,47,48,50,51,52,53,54,55,56,57,63,64,65,67,68,69,74,75,84,85,86,
90,93,94,103,104,105,106,107,112,113,115,116,117,118,119,125,132,138,149,154,
155,163,165,169,170,171,175,185,186,189,190,193,194,199,202,204,210,216,219,
221,228,234,238,240,243,246,253,257,279,282,284,291,319,322,323,360],[1,2,3,5,
6,7,9,10,12,14,15,16,17,19,21,23,32,33,34,37,40,41,46,47,50,51,52,63,64,65,67,
79,83,84,85,87,88,90,91,92,94,103,104,107,115,121,124,125,126,127,128,129,130,
132,133,135,136,137,138,139,140,141,150,163,165,169,174,175,176,177,178,179,
180,184,187,199,202,204,213,214,215,217,218,220,222,225,234,245,247,249,254,
255,256,258,262,263,266,270,290,292,293,299,302,327,333,361],[1,2,3,5,6,7,9,
10,12,14,15,16,17,19,21,22,32,33,34,37,40,41,46,47,48,51,53,63,64,65,68,79,83,
84,85,86,87,90,91,92,93,103,105,106,116,121,124,125,126,127,128,129,130,131,
132,135,136,137,138,139,140,141,149,162,166,170,174,175,176,177,178,179,180,
185,186,200,201,203,213,214,215,216,219,221,223,224,233,245,246,248,252,253,
257,259,260,261,265,269,289,291,294,300,301,328,334,362],[1,2,3,5,6,7,9,10,12,
14,15,16,17,18,19,20,21,22,32,33,34,37,38,40,41,42,43,44,45,46,47,48,51,53,64,
68,77,78,79,80,82,83,84,85,86,87,90,91,92,93,105,106,116,123,125,129,130,131,
132,137,138,139,143,144,149,162,166,170,175,177,178,182,185,186,201,214,216,
219,221,223,224,246,248,250,252,253,257,259,267,285,289,291,294,295,298,303,
305,325,328,329,332,337,363],[1,2,3,5,6,7,9,10,12,14,15,16,17,18,19,20,21,23,
32,33,34,37,38,40,41,42,43,44,45,46,47,50,51,52,64,67,77,78,79,80,82,83,84,85,
87,88,90,91,92,94,104,107,115,123,124,126,127,128,133,137,138,139,142,145,150,
163,165,169,174,176,178,181,184,187,202,213,217,218,220,222,225,247,249,251,
254,255,256,258,268,286,290,292,293,296,297,304,306,326,327,330,331,338,364],[
1,2,3,5,6,7,9,10,12,14,15,16,17,19,21,23,32,33,34,37,39,40,41,46,47,50,51,52,
64,67,79,81,83,84,85,87,88,90,91,92,94,104,107,115,122,124,126,127,128,133,
137,138,139,150,163,165,169,174,176,178,184,187,202,213,217,218,220,222,225,
247,249,254,255,256,258,288,290,292,293,327,336,365],[1,2,3,5,6,7,9,10,12,14,
15,16,17,19,21,22,32,33,34,37,39,40,41,46,47,48,51,53,64,68,79,81,83,84,85,86,
87,90,91,92,93,105,106,116,122,125,129,130,131,132,137,138,139,149,162,166,
170,175,177,178,185,186,201,214,216,219,221,223,224,246,248,252,253,257,259,
287,289,291,294,328,335,366],[1,2,3,4,6,7,9,10,11,12,15,18,20,22,23,27,34,35,
36,45,48,50,52,53,54,62,66,74,86,88,93,94,95,99,112,118,119,131,133,142,143,
144,145,171,181,182,205,206,235,236,367],[1,2,3,5,6,7,8,9,10,12,14,15,16,17,
18,19,20,21,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,51,58,59,60,62,63,
64,65,77,78,79,80,81,82,83,84,85,87,90,91,92,96,97,98,99,100,101,103,121,122,
123,124,125,126,127,128,129,130,132,135,136,137,138,139,140,141,146,147,148,
158,159,160,172,173,174,175,176,177,178,179,180,183,198,208,213,214,215,237,
245,272,307,339,368],[1,2,3,4,5,9,10,11,12,17,21,22,23,24,25,26,27,28,29,32,
46,47,49,51,52,53,54,55,56,57,65,67,68,69,70,71,72,73,74,75,76,83,84,92,106,
107,108,109,110,111,112,113,114,115,116,117,128,132,140,149,150,151,152,153,
154,155,156,162,163,164,186,187,188,191,192,193,194,195,203,204,207,209,210,
211,222,223,227,240,241,242,269,270,271,274,310,344,369],[1,2,3,4,5,9,12,17,
21,22,23,24,25,26,27,28,29,32,46,50,51,53,65,67,68,69,70,71,72,73,74,75,76,83,
92,104,106,116,118,128,140,149,150,151,152,153,154,155,156,162,184,186,189,
203,209,210,211,217,223,239,243,255,269,274,280,308,324,346,370],[1,2,3,4,5,
10,12,17,21,22,23,24,25,26,27,28,29,32,47,48,51,52,65,67,68,69,70,71,72,73,74,
75,76,84,92,105,107,115,119,132,140,149,150,151,152,153,154,155,156,163,185,
187,190,204,209,210,211,216,222,238,244,253,270,274,279,309,323,345,371],[1,2,
3,4,6,9,10,11,12,15,21,22,23,24,25,26,27,28,29,33,46,47,49,51,52,53,54,55,56,
57,67,68,69,70,71,72,73,74,75,76,85,87,89,91,106,107,108,109,110,111,112,113,
114,115,116,117,126,129,135,149,150,151,152,153,154,155,156,165,166,167,168,
186,187,188,191,192,193,194,195,209,210,211,224,225,226,240,241,242,261,263,
274,310,343,372],[1,2,3,4,6,10,12,15,21,22,23,24,25,26,27,28,29,33,47,48,51,
52,67,68,69,70,71,72,73,74,75,76,85,86,91,105,107,115,119,129,131,135,149,150,
151,152,153,154,155,156,165,185,187,190,209,210,211,219,225,238,244,248,263,
274,284,309,342,373],[1,2,3,4,6,9,12,15,21,22,23,24,25,26,27,28,29,33,46,50,
51,53,67,68,69,70,71,72,73,74,75,76,87,88,91,104,106,116,118,126,133,135,149,
150,151,152,153,154,155,156,166,184,186,189,209,210,211,218,224,239,243,249,
261,274,283,308,341,374],[1,2,3,4,5,9,10,11,12,14,21,22,23,24,25,26,27,28,29,
32,46,47,49,51,52,53,54,55,56,57,63,67,68,69,70,71,72,73,74,75,76,83,84,92,
106,107,108,109,110,111,112,113,114,115,116,117,124,125,141,149,150,151,152,
153,154,155,156,162,163,164,186,187,188,191,192,193,194,195,199,200,209,210,
211,222,223,227,240,241,242,265,266,274,310,344,375],[1,2,3,4,6,9,12,16,21,22,
23,24,25,26,27,28,29,33,46,50,51,53,67,68,69,70,71,72,73,74,75,76,87,88,91,
104,106,116,118,127,136,149,150,151,152,153,154,155,156,166,184,186,189,209,
210,211,218,224,239,243,254,260,274,283,308,341,376],[1,2,3,4,6,10,12,16,21,
22,23,24,25,26,27,28,29,33,47,48,51,52,67,68,69,70,71,72,73,74,75,76,85,86,91,
105,107,115,119,130,136,149,150,151,152,153,154,155,156,165,185,187,190,209,
210,211,219,225,238,244,252,262,274,284,309,342,377],[1,2,3,4,5,6,7,9,10,11,
12,19,21,22,23,24,25,26,27,28,29,32,33,34,46,47,48,49,50,51,52,53,54,55,56,57,
64,67,68,69,70,71,72,73,74,75,76,83,87,88,90,91,92,93,94,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,137,139,149,150,151,152,153,154,
155,156,162,166,169,170,171,184,185,186,187,188,189,190,191,192,193,194,195,
201,209,210,211,217,218,220,221,223,224,228,238,239,240,241,242,243,244,256,
259,274,280,281,282,283,308,309,310,321,340,341,346,378],[1,2,3,4,5,6,7,9,10,
11,12,19,21,22,23,24,25,26,27,28,29,32,33,34,46,47,48,49,50,51,52,53,54,55,56,
57,64,67,68,69,70,71,72,73,74,75,76,84,85,86,90,91,92,93,94,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,137,138,149,150,151,152,153,
154,155,156,163,165,169,170,171,184,185,186,187,188,189,190,191,192,193,194,
195,202,209,210,211,216,219,220,221,222,225,228,238,239,240,241,242,243,244,
257,258,274,279,281,282,284,308,309,310,322,340,342,345,379],[1,2,3,4,5,6,7,9,
10,11,12,19,21,22,23,24,25,26,27,28,29,32,33,34,46,47,48,49,50,51,52,53,54,55,
56,57,64,67,68,69,70,71,72,73,74,75,76,83,84,85,87,89,90,91,92,93,94,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,137,138,139,149,150,
151,152,153,154,155,156,162,163,164,165,166,167,168,169,170,171,184,185,186,
187,188,189,190,191,192,193,194,195,201,202,209,210,211,220,221,222,223,224,
225,226,227,228,238,239,240,241,242,243,244,258,259,274,281,282,308,309,310,
340,343,344,380],[1,2,3,4,5,9,12,14,21,22,23,24,25,26,27,28,29,32,46,50,51,53,
63,67,68,69,70,71,72,73,74,75,76,83,92,104,106,116,118,124,141,149,150,151,
152,153,154,155,156,162,184,186,189,200,209,210,211,217,223,239,243,247,265,
274,280,308,320,346,381],[1,2,3,4,5,10,12,14,21,22,23,24,25,26,27,28,29,32,47,
48,51,52,63,67,68,69,70,71,72,73,74,75,76,84,92,105,107,115,119,125,141,149,
150,151,152,153,154,155,156,163,185,187,190,199,209,210,211,216,222,238,244,
246,266,274,279,309,319,345,382],[1,2,3,4,6,9,10,11,12,16,21,22,23,24,25,26,
27,28,29,33,46,47,49,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,85,87,
89,91,106,107,108,109,110,111,112,113,114,115,116,117,127,130,134,136,149,150,
151,152,153,154,155,156,165,166,167,168,186,187,188,191,192,193,194,195,209,
210,211,224,225,226,240,241,242,260,262,264,274,310,343,383],[1,2,3,4,5,6,7,
11,12,13,17,18,19,20,29,32,35,37,38,42,56,61,62,65,66,72,82,101,102,110,159,
161,164,196,207,384],[1,2,3,5,8,9,14,21,23,30,39,46,50,59,67,83,96,104,124,
147,150,184,217,231,247,275,288,314,351,385],[1,2,3,5,8,10,14,21,22,30,39,47,
48,59,68,84,96,105,125,147,149,185,216,232,246,276,287,313,352,386],[1,2,3,5,
8,9,14,21,23,30,39,46,50,59,67,83,96,104,124,148,150,184,217,231,247,275,288,
314,351,387],[1,2,3,5,8,10,14,21,22,30,39,47,48,59,68,84,96,105,125,148,149,
185,216,232,246,276,287,313,352,388],[1,2,3,5,6,7,8,9,10,12,14,17,19,21,23,30,
31,34,41,46,47,50,51,52,58,59,60,67,83,87,88,90,94,96,97,98,104,107,115,124,
128,139,146,150,169,176,184,187,217,218,220,231,247,255,256,275,277,290,311,
314,316,348,350,351,389],[1,2,3,5,6,7,8,9,10,12,14,17,19,21,22,30,31,34,41,46,
47,48,51,53,58,59,60,68,84,85,86,90,93,96,97,98,105,106,116,125,132,138,146,
149,170,175,185,186,216,219,221,232,246,253,257,276,278,291,312,313,315,347,
349,352,390],[1,2,3,4,5,6,7,9,10,11,12,15,16,18,19,20,21,22,23,26,27,28,29,32,
33,34,38,40,43,44,45,46,47,48,50,51,52,53,54,55,56,57,62,64,67,68,69,74,76,78,
83,87,88,90,93,94,99,100,101,104,105,106,107,112,114,115,116,117,118,119,126,
127,133,139,142,145,150,154,156,160,162,166,169,170,171,174,181,184,187,189,
190,193,195,201,205,209,217,218,220,228,236,239,241,244,249,251,254,256,268,
280,281,283,286,292,296,297,306,317,321,331,354,356,358,391],[1,2,3,4,5,6,7,9,
10,11,12,15,16,18,19,20,21,22,23,26,27,28,29,32,33,34,38,40,43,44,45,46,47,48,
50,51,52,53,54,55,56,57,62,64,67,68,69,74,75,78,84,85,86,90,93,94,99,100,101,
104,105,106,107,112,113,115,116,117,118,119,129,130,131,138,143,144,149,154,
155,160,163,165,169,170,171,177,182,185,186,189,190,193,194,202,206,210,216,
219,221,228,235,238,240,243,248,250,252,257,267,279,282,284,285,289,295,298,
305,318,322,332,353,355,357,392],[1,2,3,4,5,6,7,9,10,12,17,18,19,20,21,22,23,
26,27,28,29,32,33,34,37,38,42,46,47,50,51,52,53,62,64,65,67,68,69,74,76,82,83,
84,85,87,88,90,91,92,94,101,104,106,107,115,118,128,137,138,139,142,145,150,
154,156,159,162,163,165,169,178,184,187,189,202,203,205,209,217,218,220,222,
225,239,251,255,256,258,268,280,286,293,304,317,324,338,356,393],[1,2,3,4,5,6,
7,9,10,12,17,18,19,20,21,22,23,26,27,28,29,32,33,34,37,38,42,46,47,48,51,52,
53,62,64,65,67,68,69,74,75,82,83,84,85,86,87,90,91,92,93,101,105,106,107,116,
119,132,137,138,139,143,144,149,154,155,159,162,163,166,170,178,185,186,190,
201,204,206,210,216,219,221,223,224,238,250,253,257,259,267,279,285,294,303,
318,323,337,355,394],[1,2,3,4,5,6,7,9,10,12,14,17,18,19,20,21,22,23,26,27,28,
29,32,34,38,41,42,46,47,50,51,52,53,62,63,67,68,69,74,76,77,83,87,88,90,94,
101,104,106,107,115,118,124,128,139,142,145,150,154,156,158,162,169,176,184,
187,189,200,205,209,217,218,220,239,247,251,255,256,268,280,286,290,304,317,
320,326,356,395],[1,2,3,4,5,6,7,9,10,12,14,17,18,19,20,21,22,23,26,27,28,29,
32,34,38,41,42,46,47,48,51,52,53,62,63,67,68,69,74,75,77,84,85,86,90,93,101,
105,106,107,116,119,125,132,138,143,144,149,154,155,158,163,170,175,185,186,
190,199,206,210,216,219,221,238,246,250,253,257,267,279,285,291,303,318,319,
325,355,396],[1,2,3,4,6,8,10,12,18,21,22,23,26,27,28,29,30,33,47,48,52,58,62,
67,68,69,74,75,85,86,105,107,119,143,149,154,155,165,172,185,190,206,210,219,
232,238,250,276,284,312,318,397],[1,2,3,4,6,8,9,12,18,21,22,23,26,27,28,29,30,
33,46,50,53,58,62,67,68,69,74,76,87,88,104,106,118,142,150,154,156,166,172,
184,189,205,209,218,231,239,251,275,283,311,317,398],[1,2,3,5,6,7,9,10,12,14,
15,16,17,18,19,20,21,22,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,51,53,63,
64,65,68,77,78,79,80,81,82,83,84,85,86,87,90,91,92,93,103,105,106,116,121,122,
123,124,125,126,127,128,129,130,131,132,135,136,137,138,139,140,141,143,144,
149,162,166,170,173,174,175,176,177,178,179,180,182,185,186,200,201,203,213,
214,215,216,219,221,223,224,233,245,246,248,250,252,253,257,259,260,261,265,
267,269,285,287,289,291,294,295,298,300,301,303,305,325,328,329,332,334,335,
337,362,363,366,399],[1,2,3,5,6,7,9,10,12,14,15,16,17,18,19,20,21,23,32,33,34,
37,38,39,40,41,42,43,44,45,46,47,50,51,52,63,64,65,67,77,78,79,80,81,82,83,84,
85,87,88,90,91,92,94,103,104,107,115,121,122,123,124,125,126,127,128,129,130,
132,133,135,136,137,138,139,140,141,142,145,150,163,165,169,173,174,175,176,
177,178,179,180,181,184,187,199,202,204,213,214,215,217,218,220,222,225,234,
245,247,249,251,254,255,256,258,262,263,266,268,270,286,288,290,292,293,296,
297,299,302,304,306,326,327,330,331,333,336,338,361,364,365,400],[1,2,3,4,5,6,
7,9,10,11,12,19,21,22,23,24,25,26,27,28,29,32,33,34,37,46,47,48,49,50,51,52,
53,54,55,56,57,64,67,68,69,70,71,72,73,74,75,76,83,84,85,86,87,88,89,90,91,92,
93,94,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,137,138,
139,149,150,151,152,153,154,155,156,162,163,164,165,166,167,168,169,170,171,
178,184,185,186,187,188,189,190,191,192,193,194,195,201,202,209,210,211,216,
217,218,219,220,221,222,223,224,225,226,227,228,238,239,240,241,242,243,244,
256,257,258,259,274,279,280,281,282,283,284,293,294,308,309,310,321,322,340,
341,342,343,344,345,346,378,379,380,401],[1,2,3,4,5,6,7,9,10,11,12,14,17,19,
21,22,23,24,25,26,27,28,29,32,33,34,41,46,47,48,49,50,51,52,53,54,55,56,57,63,
64,65,67,68,69,70,71,72,73,74,75,76,83,84,85,87,89,90,91,92,93,94,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,124,125,128,132,137,
138,139,140,141,149,150,151,152,153,154,155,156,162,163,164,165,166,167,168,
169,170,171,175,176,179,184,185,186,187,188,189,190,191,192,193,194,195,199,
200,201,202,203,204,207,209,210,211,220,221,222,223,224,225,226,227,228,233,
234,238,239,240,241,242,243,244,258,259,265,266,269,270,271,274,281,282,301,
302,308,309,310,340,343,344,369,375,380,402],[1,2,3,4,5,6,7,9,10,11,12,14,17,
19,21,22,23,24,25,26,27,28,29,32,33,34,41,46,47,48,49,50,51,52,53,54,55,56,57,
63,64,65,67,68,69,70,71,72,73,74,75,76,83,87,88,90,91,92,93,94,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,124,128,137,139,140,
141,149,150,151,152,153,154,155,156,162,166,169,170,171,176,179,184,185,186,
187,188,189,190,191,192,193,194,195,200,201,203,209,210,211,217,218,220,221,
223,224,228,233,238,239,240,241,242,243,244,247,255,256,259,265,269,274,280,
281,282,283,290,301,308,309,310,320,321,324,340,341,346,359,370,378,381,403],[
1,2,3,4,5,6,7,9,10,11,12,14,17,19,21,22,23,24,25,26,27,28,29,32,33,34,41,46,
47,48,49,50,51,52,53,54,55,56,57,63,64,65,67,68,69,70,71,72,73,74,75,76,84,85,
86,90,91,92,93,94,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,125,132,137,138,140,141,149,150,151,152,153,154,155,156,163,165,169,
170,171,175,179,184,185,186,187,188,189,190,191,192,193,194,195,199,202,204,
209,210,211,216,219,220,221,222,225,228,234,238,239,240,241,242,243,244,246,
253,257,258,266,270,274,279,281,282,284,291,302,308,309,310,319,322,323,340,
342,345,360,371,379,382,404],[1,2,3,4,5,6,7,9,10,11,12,15,16,19,21,22,23,24,
25,26,27,28,29,32,33,34,40,46,47,48,49,50,51,52,53,54,55,56,57,64,67,68,69,70,
71,72,73,74,75,76,83,87,88,90,91,92,93,94,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,126,127,133,135,136,137,139,149,150,151,152,153,
154,155,156,162,166,169,170,171,174,180,184,185,186,187,188,189,190,191,192,
193,194,195,201,209,210,211,217,218,220,221,223,224,228,238,239,240,241,242,
243,244,249,254,256,259,260,261,274,280,281,282,283,292,300,308,309,310,321,
340,341,346,374,376,378,405],[1,2,3,4,5,6,7,9,10,11,12,15,16,19,21,22,23,24,
25,26,27,28,29,32,33,34,40,46,47,48,49,50,51,52,53,54,55,56,57,64,67,68,69,70,
71,72,73,74,75,76,84,85,86,90,91,92,93,94,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,129,130,131,135,136,137,138,149,150,151,152,153,
154,155,156,163,165,169,170,171,177,180,184,185,186,187,188,189,190,191,192,
193,194,195,202,209,210,211,216,219,220,221,222,225,228,238,239,240,241,242,
243,244,248,252,257,258,262,263,274,279,281,282,284,289,299,308,309,310,322,
340,342,345,373,377,379,406],[1,2,3,4,5,6,7,9,10,11,12,15,16,19,21,22,23,24,
25,26,27,28,29,32,33,34,40,46,47,48,49,50,51,52,53,54,55,56,57,64,67,68,69,70,
71,72,73,74,75,76,83,84,85,87,89,90,91,92,93,94,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,126,127,129,130,134,135,136,137,138,139,
149,150,151,152,153,154,155,156,162,163,164,165,166,167,168,169,170,171,174,
177,180,184,185,186,187,188,189,190,191,192,193,194,195,201,202,209,210,211,
220,221,222,223,224,225,226,227,228,238,239,240,241,242,243,244,258,259,260,
261,262,263,264,274,281,282,299,300,308,309,310,340,343,344,372,380,383,407],[
1,2,3,5,6,7,8,9,10,12,14,17,19,21,22,30,31,34,39,41,46,47,48,51,53,58,59,60,
68,81,84,85,86,90,93,96,97,98,105,106,116,125,132,138,146,147,148,149,170,175,
183,185,186,216,219,221,232,246,253,257,276,278,287,291,312,313,315,335,347,
349,352,386,388,390,408],[1,2,3,5,6,7,8,9,10,12,14,17,19,21,23,30,31,34,39,41,
46,47,50,51,52,58,59,60,67,81,83,87,88,90,94,96,97,98,104,107,115,124,128,139,
146,147,148,150,169,176,183,184,187,217,218,220,231,247,255,256,275,277,288,
290,311,314,316,336,348,350,351,385,387,389,409],[1,2,3,4,5,6,7,9,10,11,12,14,
15,16,17,18,19,20,21,22,23,26,27,28,29,32,33,34,37,38,40,41,42,43,44,45,46,47,
48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,74,75,77,78,79,80,82,83,84,85,
86,87,90,91,92,93,94,99,100,101,103,104,105,106,107,112,113,115,116,117,118,
119,123,125,129,130,131,132,137,138,139,143,144,149,154,155,158,159,160,162,
163,165,166,169,170,171,175,177,178,182,185,186,189,190,193,194,198,199,201,
202,204,206,210,214,216,219,221,223,224,228,234,235,238,240,243,246,248,250,
252,253,257,259,267,279,282,284,285,289,291,294,295,298,303,305,318,319,322,
323,325,328,329,332,337,353,355,357,360,363,392,394,396,410],[1,2,3,4,5,6,7,9,
10,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,32,33,34,37,38,40,41,42,43,
44,45,46,47,48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,74,76,77,78,79,80,
82,83,84,85,87,88,90,91,92,93,94,99,100,101,103,104,105,106,107,112,114,115,
116,117,118,119,123,124,126,127,128,133,137,138,139,142,145,150,154,156,158,
159,160,162,163,165,166,169,170,171,174,176,178,181,184,187,189,190,193,195,
198,200,201,202,203,205,209,213,217,218,220,222,225,228,233,236,239,241,244,
247,249,251,254,255,256,258,268,280,281,283,286,290,292,293,296,297,304,306,
317,320,321,324,326,327,330,331,338,354,356,358,359,364,391,393,395,411],[1,2,
3,4,5,6,7,8,9,10,11,12,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,38,46,47,
48,50,51,52,53,54,55,56,57,58,59,60,62,64,67,68,69,74,75,84,85,86,90,93,94,98,
101,104,105,106,107,112,113,115,116,117,118,119,138,143,144,149,154,155,163,
165,169,170,171,172,185,186,189,190,193,194,202,206,208,210,216,219,221,228,
232,238,240,243,250,257,267,276,278,279,282,284,285,312,313,315,318,322,347,
355,397,412],[1,2,3,4,5,6,7,8,9,10,11,12,18,19,20,21,22,23,26,27,28,29,30,31,
32,33,34,38,46,47,48,50,51,52,53,54,55,56,57,58,59,60,62,64,67,68,69,74,76,83,
87,88,90,93,94,98,101,104,105,106,107,112,114,115,116,117,118,119,139,142,145,
150,154,156,162,166,169,170,171,172,184,187,189,190,193,195,201,205,208,209,
217,218,220,228,231,239,241,244,251,256,268,275,277,280,281,283,286,311,314,
316,317,321,348,356,398,413],[1,2,3,4,5,6,7,9,10,11,12,14,15,16,17,19,21,22,
23,24,25,26,27,28,29,32,33,34,37,40,41,46,47,48,49,50,51,52,53,54,55,56,57,63,
64,65,67,68,69,70,71,72,73,74,75,76,79,83,84,85,86,87,88,89,90,91,92,93,94,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,124,126,
127,128,133,135,136,137,138,139,140,141,149,150,151,152,153,154,155,156,162,
163,164,165,166,167,168,169,170,171,174,176,178,179,180,184,185,186,187,188,
189,190,191,192,193,194,195,200,201,202,203,209,210,211,213,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,233,238,239,240,241,242,243,244,247,
249,254,255,256,257,258,259,260,261,265,269,274,279,280,281,282,283,284,290,
292,293,294,300,301,308,309,310,320,321,322,324,327,334,340,341,342,343,344,
345,346,359,370,374,376,378,379,380,381,401,403,405,414],[1,2,3,4,5,6,7,9,10,
11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,32,33,34,37,40,41,46,47,48,49,
50,51,52,53,54,55,56,57,63,64,65,67,68,69,70,71,72,73,74,75,76,79,83,84,85,86,
87,88,89,90,91,92,93,94,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,125,129,130,131,132,135,136,137,138,139,140,141,149,150,151,
152,153,154,155,156,162,163,164,165,166,167,168,169,170,171,175,177,178,179,
180,184,185,186,187,188,189,190,191,192,193,194,195,199,201,202,204,209,210,
211,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,234,238,239,
240,241,242,243,244,246,248,252,253,256,257,258,259,262,263,266,270,274,279,
280,281,282,283,284,289,291,293,294,299,302,308,309,310,319,321,322,323,328,
333,340,341,342,343,344,345,346,360,371,373,377,378,379,380,382,401,404,406,
415],[1,2,3,4,5,6,7,9,10,11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,32,
33,34,37,40,41,46,47,48,49,50,51,52,53,54,55,56,57,63,64,65,67,68,69,70,71,72,
73,74,75,76,79,83,84,85,86,87,88,89,90,91,92,93,94,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,124,125,126,127,128,129,130,132,
134,135,136,137,138,139,140,141,149,150,151,152,153,154,155,156,162,163,164,
165,166,167,168,169,170,171,174,175,176,177,178,179,180,184,185,186,187,188,
189,190,191,192,193,194,195,199,200,201,202,203,204,207,209,210,211,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,233,234,238,239,240,
241,242,243,244,256,257,258,259,260,261,262,263,264,265,266,269,270,271,274,
279,280,281,282,283,284,293,294,299,300,301,302,308,309,310,321,322,333,334,
340,341,342,343,344,345,346,369,372,375,378,379,380,383,401,402,407,416],[1,2,
3,4,5,6,7,8,9,10,11,12,14,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,38,
41,42,46,47,48,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,74,76,77,
83,87,88,90,93,94,96,97,98,101,103,104,105,106,107,112,114,115,116,117,118,
119,124,128,139,142,145,146,150,154,156,158,162,166,169,170,171,172,176,184,
187,189,190,193,195,200,201,203,205,208,209,217,218,220,228,231,233,237,239,
241,244,247,251,255,256,268,275,277,280,281,283,286,290,304,311,314,316,317,
320,321,324,326,348,350,351,356,359,389,395,398,413,417],[1,2,3,4,5,6,7,8,9,
10,11,12,14,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,38,41,42,46,47,48,
50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,74,75,77,84,85,86,90,93,
94,96,97,98,101,103,104,105,106,107,112,113,115,116,117,118,119,125,132,138,
143,144,146,149,154,155,158,163,165,169,170,171,172,175,185,186,189,190,193,
194,199,202,204,206,208,210,216,219,221,228,232,234,237,238,240,243,246,250,
253,257,267,276,278,279,282,284,285,291,303,312,313,315,318,319,322,323,325,
347,349,352,355,360,390,396,397,412,418],[1,2,3,4,5,6,7,9,10,11,12,14,15,16,
17,19,21,22,23,24,25,26,27,28,29,32,33,34,37,40,41,46,47,48,49,50,51,52,53,54,
55,56,57,63,64,65,67,68,69,70,71,72,73,74,75,76,79,83,84,85,86,87,88,89,90,91,
92,93,94,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
121,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
149,150,151,152,153,154,155,156,162,163,164,165,166,167,168,169,170,171,174,
175,176,177,178,179,180,184,185,186,187,188,189,190,191,192,193,194,195,199,
200,201,202,203,204,207,209,210,211,213,214,215,216,217,218,219,220,221,222,
223,224,225,226,227,228,233,234,238,239,240,241,242,243,244,245,246,247,248,
249,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,269,270,271,
274,279,280,281,282,283,284,289,290,291,292,293,294,299,300,301,302,308,309,
310,319,320,321,322,323,324,327,328,333,334,340,341,342,343,344,345,346,359,
360,361,362,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,401,
402,403,404,405,406,407,414,415,416,419],[1,2,3,4,6,8,10,12,16,18,21,22,23,24,
25,26,27,28,29,30,33,43,47,48,51,52,58,62,67,68,69,70,71,72,73,74,75,76,85,86,
91,100,105,107,115,119,130,136,143,149,150,151,152,153,154,155,156,165,172,
185,187,190,206,209,210,211,219,225,232,238,244,250,252,262,272,274,276,284,
295,309,312,318,342,353,377,397,420],[1,2,3,4,6,8,9,12,16,18,21,22,23,24,25,
26,27,28,29,30,33,43,46,50,51,53,58,62,67,68,69,70,71,72,73,74,75,76,87,88,91,
100,104,106,116,118,127,136,142,149,150,151,152,153,154,155,156,166,172,184,
186,189,205,209,210,211,218,224,231,239,243,251,254,260,272,274,275,283,296,
308,311,317,341,354,376,398,421],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,38,40,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,62,64,67,68,69,70,71,72,73,74,75,76,78,84,85,86,90,91,
92,93,94,98,99,100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,129,130,131,135,136,137,138,143,144,149,150,151,152,153,154,155,
156,160,163,165,169,170,171,172,177,180,182,184,185,186,187,188,189,190,191,
192,193,194,195,202,206,208,209,210,211,216,219,220,221,222,225,228,232,235,
238,239,240,241,242,243,244,248,250,252,257,258,262,263,267,272,274,276,278,
279,281,282,284,285,289,295,298,299,305,307,308,309,310,312,313,315,318,322,
332,340,342,345,347,353,355,357,373,377,379,392,397,406,412,420,422],[1,2,3,4,
5,6,7,8,9,10,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
38,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,67,68,69,70,
71,72,73,74,75,76,78,83,87,88,90,91,92,93,94,98,99,100,101,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,126,127,133,135,136,137,139,
142,145,149,150,151,152,153,154,155,156,160,162,166,169,170,171,172,174,180,
181,184,185,186,187,188,189,190,191,192,193,194,195,201,205,208,209,210,211,
217,218,220,221,223,224,228,231,236,238,239,240,241,242,243,244,249,251,254,
256,259,260,261,268,272,274,275,277,280,281,282,283,286,292,296,297,300,306,
307,308,309,310,311,314,316,317,321,331,340,341,346,348,354,356,358,374,376,
378,391,398,405,413,421,423],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100,101,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,123,125,129,130,
131,132,135,136,137,138,139,140,141,143,144,146,149,150,151,152,153,154,155,
156,158,159,160,162,163,164,165,166,167,168,169,170,171,172,175,177,178,179,
180,182,184,185,186,187,188,189,190,191,192,193,194,195,198,199,201,202,204,
206,208,209,210,211,214,215,216,217,218,219,220,221,222,223,224,225,226,227,
228,232,234,235,237,238,239,240,241,242,243,244,246,248,250,252,253,256,257,
258,259,262,263,266,267,270,272,274,276,278,279,280,281,282,283,284,285,289,
291,293,294,295,298,299,302,303,305,307,308,309,310,312,313,315,318,319,321,
322,323,325,328,329,332,333,337,339,340,341,342,343,344,345,346,347,349,352,
353,355,357,360,363,371,373,377,378,379,380,382,390,392,394,396,397,401,404,
406,410,412,415,418,420,422,424],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100,101,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,123,124,126,
127,128,133,135,136,137,138,139,140,141,142,145,146,149,150,151,152,153,154,
155,156,158,159,160,162,163,164,165,166,167,168,169,170,171,172,174,176,178,
179,180,181,184,185,186,187,188,189,190,191,192,193,194,195,198,200,201,202,
203,205,208,209,210,211,213,215,216,217,218,219,220,221,222,223,224,225,226,
227,228,231,233,236,237,238,239,240,241,242,243,244,247,249,251,254,255,256,
257,258,259,260,261,265,268,269,272,274,275,277,279,280,281,282,283,284,286,
290,292,293,294,296,297,300,301,304,306,307,308,309,310,311,314,316,317,320,
321,322,324,326,327,330,331,334,338,339,340,341,342,343,344,345,346,348,350,
351,354,356,358,359,364,370,374,376,378,379,380,381,389,391,393,395,398,401,
403,405,411,413,414,417,421,423,425],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,
100,101,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,143,144,146,147,148,149,150,151,152,153,154,155,156,158,159,160,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,198,199,200,201,202,203,
204,206,207,208,209,210,211,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,232,233,234,235,237,238,239,240,241,242,243,244,245,246,247,
248,249,250,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,
269,270,271,272,274,276,278,279,280,281,282,283,284,285,287,289,290,291,292,
293,294,295,298,299,300,301,302,303,305,307,308,309,310,312,313,315,318,319,
320,321,322,323,324,325,327,328,329,332,333,334,335,337,339,340,341,342,343,
344,345,346,347,349,352,353,355,357,359,360,361,362,363,366,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,386,388,390,392,394,396,397,
399,401,402,403,404,405,406,407,408,410,412,414,415,416,418,419,420,422,424,
426],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,96,97,98,99,100,101,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,145,146,147,148,149,150,
151,152,153,154,155,156,158,159,160,162,163,164,165,166,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,
192,193,194,195,198,199,200,201,202,203,204,205,207,208,209,210,211,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,231,233,234,236,237,
238,239,240,241,242,243,244,245,246,247,248,249,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,268,269,270,271,272,274,275,277,279,280,
281,282,283,284,286,288,289,290,291,292,293,294,296,297,299,300,301,302,304,
306,307,308,309,310,311,314,316,317,319,320,321,322,323,324,326,327,328,330,
331,333,334,336,338,339,340,341,342,343,344,345,346,348,350,351,354,356,358,
359,360,361,362,364,365,368,369,370,371,372,373,374,375,376,377,378,379,380,
381,382,383,385,387,389,391,393,395,398,400,401,402,403,404,405,406,407,409,
411,413,414,415,416,417,419,421,423,425,427],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,3,1],[1,3,1,
1,1,1],[1,5,1,2,1],[1,4,1],[1,4,1],[1,4,1],[1,4,1],[1,4,1],[1,1,3,1],[1,1,3,
1],[1,1,3,1],[1,1,3,1],[1,1,1,1],[1,5,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,7,1,
3,1,1,1,1],[1,3,4,1,1],[1,1],[1,3,3,3,1,3,1],[1,7,1,3,3,1,3,3,1],[1,1,1,1,1],[
1,3,1,1,1,1,1,1,1],[1,3,1,1,1,1,1,1,1],[1,3,1,1,1,2,1,1],[1,1,5,1,2,1],[1,9,1,
4,1,2,1],[1,5,3,2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,
4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,3,4,1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,
3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,1,5,1,1,
1],[1,1,1,1,1,1],[1,11,5,1,1,2,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,1,1,1,1,1,1,
1],[1,7,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,9,4,3,4,4,3,1,1],[1,13,
1,12,1],[1,13,1,12,1],[1,4,9,1,3,3,3,3,1],[1,1,12,1,8,2,2,1],[1,1,12,1,8,2,2,
1],[1,1,12,4,1],[1,1,12,1,2,1,1],[1,7,6,1,1,2,1],[1,4,9,1,1,1,1,1],[1,4,9,1,1,
1,1,1],[1,7,1,3,3,1,3,1,3,3,1,3,3,1],[1,11,1,5,5,1,1,2,5,6,2,1,1,1,2,1],[1,3,
3,3,1,1,1,1,1,3,1,1,1,1],[1,3,1,1,1,1,1,4,1,1,2,1],[1,3,1,1,1,1,1,1,2,1,1],[1,
7,3,5,3,2,1,5,3,1,1,1,1],[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],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,
1],[1,19,4,9,12,12,4,1,12,1,1,1,1],[1,1,4,9,4,1,12,1,1],[1,1,4,1,4,1,4,1,1],[
1,15,4,9,2,12,6,1,6,1,2,1],[1,15,4,9,12,2,6,1,6,1,2,1],[1,13,1,1],[1,1,1,1,1,
1,1,1],[1,1,1,1,5,1,1,1],[1,11,1,5,5,1,5,1,2,1,1,1,1],[1,13,4,3,6,4,4,4,3,1,3,
4,3,1,1],[1,1,4,9,4,3,4,4,3,1,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[1,3,16,3,3,1,
3,4,1,1],[1,7,1,1,3,3,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,27,13,117,1,12,3,36,1,
1],[1,27,13,117,1,12,3,36,1,1],[1,9,13,12,9,1,12,1,12,1,1],[1,9,13,12,9,1,12,
1,12,1,1],[1,9,1,12,12,9,1,8,2,2,1,6,6,1,1],[1,9,1,12,12,9,1,8,2,2,1,6,6,1,
1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,12,12,9,1,2,1,6,3,3,1,1],[1,9,7,6,3,3,6,9,
1,1,2,3,3,6,1,1],[1,9,4,9,3,9,9,1,1,1,1,3,3,3,3,1,1],[1,9,4,9,3,9,9,1,1,1,1,3,
3,3,3,1,1],[1,3,13,1,12,1,12,3,4,1,1],[1,3,13,1,12,1,12,3,4,1,1],[1,3,4,9,1,
12,1,3,3,3,3,3,1,1,1,1,1,1],[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],[1,15,10,5,6,10,6,5,1],[1,3,3,3,1,3,3,3,3,3,1,3,3,3,1],[1,3,3,3,1,1,
1,1,1,3,1,4,1,1,1,2,1],[1,11,3,7,5,1,1,1,5,2,7,6,1,2,1,5,6,1,1,2,2,1,1,1,2,
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,
4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,
1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,
1],[1,9,4,9,12,9,1,1,1,1],[1,1,4,9,4,9,1,12,1,1,1],[1,1,4,9,4,9,1,12,1,1,1],[
1,19,4,1,9,9,12,12,4,9,1,4,12,12,1,1,1,12,1,1,1,1],[1,19,4,9,9,9,12,12,4,9,1,
12,1,1,1,1,1,1,1],[1,19,4,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,4,1,4,9,1,
4,1,12,1,1],[1,1,4,1,4,1,1,4,1,4,1,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,
1,1,3,1],[1,21,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,21,4,9,18,12,4,12,9,1,12,1,
4,1,2,1],[1,11,1,5,5,1,1,5,5,1,2,5,1,1,1,1,1,1,1],[1,1,1,1,1,1,5,1,1,1],[1,1,
1,1,1,1,1,1,1,1],[1,40,10,120,40,1],[1,40,10,120,40,1],[1,4,36,1,9,72,12,12,
12,12,4,18,18,1],[1,4,36,1,12,12,12,12,4,9,1],[1,4,36,1,12,12,12,12,4,9,1],[1,
22,18,1,12,12,6,6,6,6,1,1,2,9,1],[1,13,27,1,12,9,9,9,9,1,3,9,1],[1,13,27,1,12,
9,9,9,9,1,3,9,1],[1,1,1,1],[1,7,4,1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,7,4,
7,9,3,4,6,1,9,3,4,3,1,3,1,4,3,1,1],[1,19,4,1,9,9,4,4,4,3,3,4,9,12,4,4,4,4,3,3,
3,6,1,4,3,1,1,1,1],[1,15,16,3,9,7,16,6,3,9,9,4,1,3,3,4,3,1,1],[1,9,13,9,12,9,
1,12,9,1,12,1,1,1,1],[1,9,13,9,12,9,1,12,9,1,12,1,1,1,1],[1,9,1,12,9,12,9,4,9,
12,1,1,1],[1,9,13,27,12,9,1,12,9,1,12,1,3,1,1],[1,9,13,27,12,9,1,12,9,1,12,1,
3,1,1],[1,9,1,12,27,12,9,1,8,2,2,9,1,6,6,1,3,1,1],[1,9,1,12,27,12,9,1,8,2,2,9,
1,6,6,1,3,1,1],[1,39,13,27,117,13,21,1,12,45,3,1,36,3,16,1,3,12,1,1,1,1],[1,
39,13,27,13,117,21,1,12,45,1,3,36,3,16,1,3,12,1,1,1,1],[1,27,7,6,27,15,15,6,
27,1,1,2,27,1,1,6,6,6,1,3,3,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,11,3,7,
5,3,3,3,7,2,7,6,1,2,4,3,7,6,1,1,2,2,1,3,1,2,2,1,1,1,1],[1,19,4,9,9,9,12,12,4,
9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,19,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,
1,1,1,1,1,1],[1,19,4,9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,19,4,
9,9,9,12,12,4,9,9,9,1,12,9,1,1,1,1,1,1,1,1,1,1],[1,19,4,19,27,9,12,12,4,27,1,
4,12,12,9,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,19,4,1,9,9,12,12,4,1,9,9,1,4,12,
12,9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,19,4,1,9,9,12,12,4,9,9,9,1,4,12,12,9,
1,1,1,12,1,1,1,1,1,1,1],[1,21,4,27,18,12,4,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[
1,21,4,27,18,4,12,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,11,1,5,5,1,1,5,5,1,2,6,
5,1,1,1,5,1,1,1,1,1,1,1],[1,81,40,1080,10,120,90,1080,40,120,1,1],[1,81,40,
1080,10,120,90,1080,40,120,1,1],[1,9,40,12,36,10,120,1,9,48,40,4,12,1,1],[1,9,
40,12,36,10,120,1,9,48,40,4,12,1,1],[1,9,4,36,12,36,1,9,72,12,12,12,12,1,9,12,
12,12,12,4,18,18,2,2,12,1,1],[1,27,22,18,117,27,1,12,12,6,6,6,6,3,36,36,1,1,2,
9,1,3,9,1,1],[1,27,22,18,117,27,1,12,12,6,6,6,6,3,36,36,1,1,2,9,1,3,9,1,1],[1,
9,4,36,12,36,1,12,12,12,12,9,12,12,12,12,4,9,1,12,1,1],[1,9,4,36,12,36,1,12,
12,12,12,9,12,12,12,12,4,9,1,12,1,1],[1,9,22,18,3,3,6,36,1,12,12,6,6,6,6,9,12,
12,6,6,6,6,1,1,2,9,1,3,3,6,1,1],[1,9,13,27,3,9,36,1,12,9,9,9,9,9,12,9,9,9,9,1,
3,9,1,3,9,1,1],[1,9,13,27,3,9,36,1,12,9,9,9,9,9,12,9,9,9,9,1,3,9,1,3,9,1,1],[
1,21,28,21,14,28,8,21,14,8,14,1],[1,3,64,3,3,1,3,3,3,3,3,16,1,3,3,3,4,1,1],[1,
19,4,7,15,9,4,4,4,1,3,3,9,4,15,12,4,4,4,3,4,3,9,12,3,3,6,1,4,4,4,4,3,3,3,6,1,
1,1,4,3,1,1,1,1],[1,9,13,9,12,9,9,1,12,9,1,12,9,1,1,1,1,1,1],[1,9,13,9,12,9,9,
1,12,9,1,12,9,1,1,1,1,1,1],[1,39,13,9,27,27,13,117,21,27,1,12,9,9,45,1,3,36,3,
16,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,39,13,9,27,27,117,13,21,27,1,12,9,9,45,3,
1,36,3,16,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,9,13,9,12,9,27,1,12,9,1,12,9,1,1,1,
3,1,1],[1,9,13,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,9,16,24,27,12,36,9,4,1,
8,1,12,9,4,3,4,1,1],[1,9,16,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,1,12,9,
12,9,27,4,9,12,9,1,1,1,1],[1,31,10,1,15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,
6,6,6,5,10,6,5,1,1],[1,49,72,10,12,120,24,24,24,24,40,1,8,36,72,1,4,8,1],[1,
49,72,10,120,12,24,24,24,24,1,40,8,36,72,1,4,8,1],[1,22,99,1,12,12,9,72,33,33,
33,33,1,1,11,18,18,9,36,9,27,27,1,1,4,1,3,3,1],[1,91,1,1,13,7,1,1],[1,19,4,19,
27,9,12,12,4,9,9,9,9,27,1,4,12,12,9,9,9,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,19,4,19,27,9,12,12,4,9,9,9,9,27,1,4,12,12,9,9,9,1,1,1,12,9,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,19,4,19,27,9,12,12,4,1,9,9,9,27,1,4,12,12,
9,9,9,1,1,1,4,12,12,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,81,40,81,
1080,10,120,90,1080,40,90,120,1,1,1],[1,81,40,81,1080,10,120,90,1080,40,90,
120,1,1,1],[1,81,40,81,1080,10,120,90,1080,40,18,72,120,1,1,1],[1,81,40,81,
1080,10,120,90,1080,40,18,72,120,1,1,1],[1,99,40,81,1080,24,72,10,120,216,90,
2,1080,18,96,40,18,144,120,8,24,1,24,1,2,1],[1,99,40,81,24,1080,72,10,120,216,
2,90,1080,18,96,40,18,144,120,8,24,1,24,1,2,1],[1,9,40,9,12,36,10,120,36,1,9,
48,40,1,9,4,12,1,4,1,1],[1,9,40,9,12,36,10,120,36,1,9,48,40,1,9,4,12,1,4,1,
1],[1,9,40,81,12,36,10,120,108,1,9,48,40,9,9,4,12,1,12,1,1],[1,9,40,81,12,36,
10,120,108,1,9,48,40,9,9,4,12,1,12,1,1],[1,9,4,36,81,12,36,1,9,72,12,12,12,12,
108,1,9,12,12,12,12,4,18,18,9,9,2,2,12,1,6,6,1,1],[1,9,4,36,9,12,36,1,12,12,
12,12,36,9,12,12,12,12,4,9,9,1,12,1,1,1,1],[1,63,22,18,81,120,120,6,90,1,12,
12,6,6,6,6,162,3,3,36,36,9,48,48,6,6,6,6,1,1,2,9,9,36,36,1,1,3,3,1,3,3,6,9,9,
1,3,3,3,1,1,1,1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,27,64,3,
15,13,64,3,3,3,15,6,15,18,16,1,6,12,3,15,18,3,3,6,16,6,3,3,3,6,6,4,1,3,3,4,3,
1,1],[1,40,81,10,120,40,1,1],[1,40,81,10,120,40,1,1],[1,39,13,9,27,27,13,117,
21,9,27,27,1,12,9,9,45,27,1,3,36,3,16,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,
1,1,1,1],[1,39,13,9,27,27,117,13,21,9,27,27,1,12,9,9,45,27,3,1,36,3,16,9,9,9,
1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,45,16,24,27,54,48,24,24,72,27,9,
27,1,4,8,72,27,1,4,24,12,24,9,4,3,6,12,9,4,4,4,3,1,3,4,3,1,1],[1,45,16,24,27,
54,24,48,24,72,27,9,27,4,1,8,72,27,4,1,12,24,24,9,4,3,12,6,9,4,4,4,3,1,3,4,3,
1,1],[1,31,10,1,15,15,6,10,10,10,1,15,5,15,15,6,12,10,10,10,5,15,15,6,6,6,5,
10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,81,49,72,1080,81,10,120,12,24,24,24,24,90,
1080,108,1,40,8,36,72,120,9,108,1,4,8,1,12,1,1],[1,81,49,72,1080,81,10,12,120,
24,24,24,24,90,1080,108,40,1,8,36,72,120,9,108,1,4,8,1,12,1,1],[1,27,49,72,36,
9,72,108,10,120,12,24,24,24,24,3,27,36,144,72,72,72,72,1,40,8,36,72,12,12,24,
9,36,72,1,4,8,3,12,24,1,1],[1,27,49,72,9,36,72,108,10,12,120,24,24,24,24,3,27,
144,36,72,72,72,72,40,1,8,36,72,12,12,24,36,9,72,1,4,8,3,12,24,1,1],[1,27,22,
99,9,9,99,108,1,12,12,9,72,33,33,33,33,3,27,36,36,99,99,99,99,1,1,11,18,18,9,
36,9,27,27,6,6,3,12,3,9,9,9,9,99,1,1,4,1,3,3,3,3,12,3,9,9,1,1],[1,27,49,72,
117,108,10,120,12,24,24,24,24,3,36,27,144,1,40,8,36,72,1,12,36,36,1,4,8,3,4,1,
1],[1,27,49,72,117,108,10,12,120,24,24,24,24,3,36,27,144,40,1,8,36,72,1,12,36,
36,1,4,8,3,4,1,1],[1,19,4,19,27,9,12,12,4,19,27,27,27,27,1,4,12,12,9,27,27,1,
1,1,4,12,12,27,1,1,1,1,1,1,1,12,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,81,40,81,1080,81,10,120,90,1080,40,90,120,90,1,1,1,1],[1,81,40,81,
1080,81,10,120,90,1080,40,90,120,90,1,1,1,1],[1,81,40,81,1080,81,10,120,90,
1080,40,18,72,120,18,72,1,1,1,1],[1,81,40,81,1080,81,10,120,90,1080,40,18,72,
120,18,72,1,1,1,1],[1,81,40,243,1080,81,10,120,90,1080,40,54,216,120,36,1,1,3,
1],[1,81,40,243,1080,81,10,120,90,1080,40,54,216,120,36,1,1,3,1],[1,81,40,81,
1080,81,10,120,90,1080,40,18,72,120,18,1,1,1,1],[1,81,40,81,1080,81,10,120,90,
1080,40,90,120,18,1,1,1,1],[1,81,40,81,1080,81,10,120,90,1080,40,18,72,120,18,
1,1,1,1],[1,81,40,81,1080,81,10,120,90,1080,40,90,120,18,1,1,1,1],[1,99,40,81,
81,81,1080,24,72,81,10,120,216,90,2,1080,18,96,40,90,18,72,18,144,120,8,24,18,
1,24,1,2,1,1,1,1],[1,99,40,81,81,81,24,1080,72,81,10,120,216,2,90,1080,18,96,
40,90,18,72,18,144,120,8,24,18,1,24,1,2,1,1,1,1],[1,99,40,9,81,81,1080,24,72,
81,10,120,36,108,216,90,2,1080,18,96,108,40,1,9,18,9,9,144,120,8,24,9,9,1,4,
12,24,1,2,12,1,1,1,1],[1,99,40,9,81,81,24,1080,72,81,10,120,36,108,216,2,90,
1080,18,96,108,40,1,9,18,9,9,144,120,8,24,9,9,1,4,12,24,1,2,12,1,1,1,1],[1,9,
40,81,12,36,81,10,120,108,1,9,48,40,9,9,4,12,9,9,1,12,1,1,1],[1,9,40,81,12,36,
81,10,120,108,1,9,48,40,9,9,4,12,9,9,1,12,1,1,1],[1,9,40,81,12,36,81,10,120,
108,1,9,48,40,9,9,4,12,9,9,1,12,1,1,1],[1,9,40,81,12,36,81,10,120,108,1,9,48,
40,9,9,4,12,9,9,1,12,1,1,1],[1,9,4,36,81,12,36,81,1,9,72,12,12,12,12,108,1,9,
12,12,12,12,4,18,18,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,9,40,9,12,36,9,10,120,36,1,
9,48,36,40,1,9,4,12,1,9,1,4,1,4,1,1],[1,9,40,9,12,36,9,10,120,36,1,9,48,36,40,
1,9,4,12,1,9,1,4,1,4,1,1],[1,117,40,81,162,48,1080,144,81,10,120,432,4,90,
1080,36,192,40,18,72,36,288,120,16,48,36,1,48,1,4,1,2,1],[1,117,40,81,162,
1080,48,144,81,10,120,432,90,4,1080,36,192,40,18,72,36,288,120,16,48,36,1,48,
1,4,1,2,1],[1,9,40,9,12,36,81,10,120,36,1,9,48,108,40,1,9,4,12,9,9,1,4,1,12,1,
1],[1,9,40,9,12,36,81,10,120,36,1,9,48,108,40,1,9,4,12,9,9,1,4,1,12,1,1],[1,9,
4,36,9,12,36,81,1,12,12,12,12,36,9,12,12,12,12,108,4,9,9,1,12,9,1,1,1,3,1,1],[
1,1,40,45,36,40,45,30,10,36,120,45,10,36,30,10,30,10,12,1],[1,81,40,45,120,36,
120,45,90,10,36,72,30,45,10,36,30,10,12,10,1,1],[1,76,288,19,120,120,72,576,
96,96,96,96,40,40,32,144,144,72,288,144,288,288,1,1,8,8,32,16,32,32,4,4,32,
1],[1,81,40,81,1080,10,120,81,90,1080,40,120,1,1,1,1],[1,81,40,81,1080,10,120,
81,90,1080,40,120,1,1,1,1],[1,45,40,81,60,180,10,120,81,5,45,240,40,20,60,1,5,
1,1],[1,45,40,81,60,180,10,120,81,5,45,240,40,20,60,1,5,1,1],[1,81,49,72,81,
1080,81,10,120,12,24,24,24,24,81,90,1080,108,1,40,8,36,72,90,120,9,108,1,4,8,
9,1,12,1,1,1,1],[1,81,49,72,81,1080,81,10,12,120,24,24,24,24,81,90,1080,108,
40,1,8,36,72,90,120,9,108,1,4,8,9,1,12,1,1,1,1],[1,135,49,72,243,1089,153,72,
297,10,12,120,24,24,24,24,729,90,6,36,1080,54,288,144,72,72,72,72,40,1,8,36,
72,54,108,432,120,1,9,24,12,24,72,9,72,108,36,1,4,8,72,9,36,1,6,12,4,12,24,1,
3,12,1,1,1,1],[1,135,49,72,243,153,1089,72,297,10,120,12,24,24,24,24,729,6,90,
1080,36,54,144,288,72,72,72,72,1,40,8,36,72,54,432,108,1,120,24,9,12,24,9,72,
72,36,108,1,4,8,9,72,36,1,6,4,12,12,24,1,3,12,1,1,1,1],[1,81,49,72,243,1080,
81,10,12,120,24,24,24,24,81,90,1080,108,40,1,8,36,72,54,216,120,9,108,1,4,8,9,
1,12,1,3,1,1],[1,81,49,72,243,1080,81,10,120,12,24,24,24,24,81,90,1080,108,1,
40,8,36,72,54,216,120,9,108,1,4,8,9,1,12,1,3,1,1],[1,135,40,81,243,243,72,
1080,216,81,243,243,10,120,648,81,6,90,1080,54,288,40,90,54,216,54,432,120,24,
72,54,36,108,1,72,1,6,1,3,3,1,3,3,1],[1,135,40,81,243,243,1080,72,216,81,243,
243,10,120,648,81,90,6,1080,54,288,40,90,54,216,54,432,120,24,72,54,36,108,1,
72,1,6,1,3,3,1,3,3,1],[1,81,40,81,1080,81,10,120,81,90,1080,40,90,120,90,1,1,
1,1,1],[1,81,40,81,1080,81,10,120,81,90,1080,40,90,120,90,1,1,1,1,1],[1,99,40,
81,81,81,24,1080,72,81,81,81,10,120,216,81,2,90,1080,18,96,40,90,18,72,18,144,
120,8,24,18,18,72,18,1,24,18,1,2,1,1,1,1,1,1,1],[1,99,40,81,81,81,1080,24,72,
81,81,81,10,120,216,81,90,2,1080,18,96,40,90,18,72,18,144,120,8,24,90,18,18,1,
24,18,1,2,1,1,1,1,1,1,1],[1,99,40,81,81,81,24,1080,72,81,81,81,10,120,216,81,
2,90,1080,18,96,40,90,18,72,18,144,120,8,24,90,18,18,1,24,18,1,2,1,1,1,1,1,1,
1],[1,99,40,81,81,81,1080,24,72,81,81,81,10,120,216,81,90,2,1080,18,96,40,90,
18,72,18,144,120,8,24,18,18,72,18,1,24,18,1,2,1,1,1,1,1,1,1],[1,99,40,99,243,
81,1080,24,72,243,10,120,72,216,216,81,90,2,1080,18,96,216,40,90,2,18,18,72,
18,18,18,144,120,8,24,18,18,18,1,8,24,24,18,1,2,24,1,1,1,2,2,1,2,1],[1,99,40,
99,243,81,24,1080,72,243,10,120,72,216,216,81,2,90,1080,18,96,216,40,2,90,18,
72,18,18,18,18,144,120,8,24,18,18,18,1,8,24,24,18,1,2,24,1,1,1,2,2,1,2,1],[1,
81,40,405,1080,81,162,10,120,81,90,1080,40,90,360,120,18,72,1,1,5,2,1,1],[1,
81,40,405,1080,81,162,10,120,81,90,1080,40,90,360,120,18,72,1,1,5,2,1,1],[1,
153,40,81,324,1080,96,288,81,162,10,120,864,81,90,8,1080,72,384,40,18,72,72,
576,120,32,96,18,72,1,96,1,8,1,4,1,2,1],[1,153,40,81,324,96,1080,288,81,162,
10,120,864,81,8,90,1080,72,384,40,18,72,72,576,120,32,96,18,72,1,96,1,8,1,4,1,
2,1],[1,99,40,9,81,81,1080,24,72,81,81,81,10,120,36,108,216,81,90,2,1080,18,
96,108,40,1,9,18,9,9,144,120,8,24,9,9,9,9,9,9,1,4,12,24,9,9,1,2,12,1,1,1,1,1,
1,1],[1,99,40,9,81,81,24,1080,72,81,81,81,10,120,36,108,216,81,2,90,1080,18,
96,108,40,1,9,18,9,9,144,120,8,24,9,9,9,9,9,9,1,4,12,24,9,9,1,2,12,1,1,1,1,1,
1,1],[1,99,40,9,81,81,24,1080,72,9,81,81,10,120,36,108,216,81,2,90,1080,18,96,
36,108,108,40,1,9,18,9,9,144,108,120,8,24,1,9,9,9,9,9,1,4,12,24,9,9,1,2,4,12,
12,1,1,1,12,1,1,1,1],[1,99,40,9,81,81,1080,24,72,9,81,81,10,120,36,108,216,81,
90,2,1080,18,96,36,108,108,40,1,9,18,9,9,144,108,120,8,24,1,9,9,9,9,9,1,4,12,
24,9,9,1,2,4,12,12,1,1,1,12,1,1,1,1],[1,99,40,81,81,81,24,1080,72,162,81,10,
120,216,81,2,90,1080,18,96,40,90,18,72,18,144,120,8,24,36,18,1,24,1,2,1,1,1,2,
1,1],[1,99,40,81,81,81,1080,24,72,162,81,10,120,216,81,90,2,1080,18,96,40,90,
18,72,18,144,120,8,24,36,18,1,24,1,2,1,1,1,2,1,1],[1,117,40,243,162,48,1080,
144,81,81,81,10,120,432,81,4,90,1080,36,192,40,54,216,36,288,120,16,48,18,72,
36,36,1,48,36,1,4,3,2,1,1,1,1],[1,117,40,243,162,1080,48,144,81,81,81,10,120,
432,81,90,4,1080,36,192,40,54,216,36,288,120,16,48,18,72,36,36,1,48,36,1,4,3,
2,1,1,1,1],[1,91,40,1,45,45,36,120,120,40,45,45,30,45,90,10,36,72,40,120,120,
30,45,45,45,90,10,10,10,36,36,36,30,120,45,10,10,10,36,30,30,30,10,10,10,30,
12,10,12,1,1],[1,81,76,288,1080,324,19,120,120,72,576,96,96,96,96,90,1080,81,
432,40,40,32,144,144,72,288,144,288,288,120,36,108,432,1,1,8,8,32,16,32,32,1,
9,48,4,4,32,4,12,1,1],[1,81,76,288,1080,324,19,120,120,72,576,96,96,96,96,90,
1080,81,432,40,40,32,144,144,72,288,144,288,288,120,36,108,432,1,1,8,8,32,16,
32,32,1,9,48,4,4,32,4,12,1,1],[1,81,76,288,108,108,864,324,19,120,120,72,576,
96,96,96,96,9,9,72,81,432,432,864,864,864,864,40,40,32,144,144,72,288,144,288,
288,36,36,144,144,72,288,144,288,288,108,108,864,1,1,8,8,32,16,32,32,9,9,72,
72,288,144,288,288,4,4,32,12,12,96,1,1],[1,81,40,405,81,1080,10,120,81,90,
1080,81,40,90,360,120,1,1,5,1,1,1],[1,81,40,405,81,1080,10,120,81,90,1080,81,
40,90,360,120,1,1,5,1,1,1],[1,81,40,81,81,1080,10,120,81,90,1080,81,40,90,120,
1,1,1,1,1,1],[1,81,40,81,81,1080,10,120,81,90,1080,81,40,90,120,1,1,1,1,1,1],[
1,171,40,405,81,120,1080,360,10,120,81,162,1080,10,90,1080,90,480,81,40,90,
720,120,40,120,1,120,1,10,5,1,1,2,1],[1,171,40,405,81,1080,120,360,10,120,81,
162,1080,90,10,1080,90,480,81,40,90,720,120,40,120,1,120,1,10,5,1,1,2,1],[1,
81,76,288,243,1080,324,81,10,48,120,96,96,96,96,90,1080,432,81,40,4,32,144,
288,54,216,120,36,432,36,1,16,32,1,48,36,4,3,4,1,1],[1,81,76,288,243,1080,324,
81,10,120,48,96,96,96,96,90,1080,432,81,4,40,32,144,288,54,216,120,36,432,36,
1,16,32,1,48,36,4,3,4,1,1],[1,81,49,72,81,1080,81,81,10,120,12,24,24,24,24,81,
90,1080,108,81,1,40,8,36,72,90,120,9,108,90,1,4,8,9,1,12,9,1,1,1,1,1,1],[1,81,
49,72,81,1080,81,81,10,12,120,24,24,24,24,81,90,1080,108,81,40,1,8,36,72,90,
120,9,108,90,1,4,8,9,1,12,9,1,1,1,1,1,1],[1,135,49,72,81,243,243,1089,153,72,
297,243,10,12,120,24,24,24,24,81,81,729,90,6,36,1080,54,288,144,72,72,72,72,
81,40,1,8,36,72,90,54,216,54,108,432,120,1,9,24,12,24,72,9,72,108,36,54,1,4,8,
9,9,72,9,36,1,6,12,4,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,135,49,72,81,243,
243,153,1089,72,297,243,10,120,12,24,24,24,24,81,81,729,6,90,1080,36,54,144,
288,72,72,72,72,81,1,40,8,36,72,90,54,216,54,432,108,1,120,24,9,12,24,9,72,72,
36,108,54,1,4,8,9,9,9,72,36,1,6,4,12,12,24,9,1,1,3,3,12,1,1,1,3,1,1,1,1],[1,
81,49,72,81,1080,81,243,10,120,12,24,24,24,24,81,90,1080,108,81,1,40,8,36,72,
90,120,9,108,54,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,81,49,72,81,1080,81,243,10,12,
120,24,24,24,24,81,90,1080,108,81,40,1,8,36,72,90,120,9,108,54,1,4,8,9,1,12,9,
1,1,1,3,1,1],[1,135,40,81,243,243,72,1080,216,81,243,81,243,243,10,120,648,81,
243,243,6,90,1080,54,288,40,81,90,54,216,54,432,120,24,72,90,54,54,36,108,1,
72,54,1,6,1,3,3,1,1,3,3,3,1,3,3,1],[1,135,40,81,243,243,1080,72,216,81,243,81,
243,243,10,120,648,81,243,243,90,6,1080,54,288,40,81,90,54,216,54,432,120,24,
72,90,54,54,36,108,1,72,54,1,6,1,3,3,1,1,3,3,3,1,3,3,1],[1,99,40,99,243,81,
1080,24,72,81,81,81,81,243,10,120,72,216,216,81,81,81,90,2,1080,18,96,216,40,
81,90,2,18,18,72,18,18,18,144,120,8,24,90,18,18,18,72,18,18,18,1,8,24,24,18,
18,18,1,2,24,18,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1],[1,99,40,99,243,81,24,1080,72,
81,81,81,81,243,10,120,72,216,216,81,81,81,2,90,1080,18,96,216,40,81,2,90,18,
72,18,18,18,18,144,120,8,24,90,18,18,72,18,18,18,18,1,8,24,24,18,18,18,1,2,24,
18,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1],[1,99,40,81,81,81,24,1080,72,81,81,324,81,
10,120,216,81,162,2,90,1080,18,96,40,81,90,18,72,18,144,120,8,24,18,18,72,72,
18,1,24,18,1,2,1,1,1,1,1,4,1,1,2,1],[1,99,40,81,81,81,1080,24,72,81,81,324,81,
10,120,216,81,162,90,2,1080,18,96,40,81,90,18,72,18,144,120,8,24,18,18,72,72,
18,1,24,18,1,2,1,1,1,1,1,4,1,1,2,1],[1,171,40,81,405,405,1080,120,360,81,81,
162,405,486,10,120,1080,162,81,81,81,162,90,10,1080,90,480,40,81,90,90,360,90,
720,120,40,120,18,18,72,90,72,216,1,120,18,72,1,10,1,5,5,1,2,1,5,6,2,1,1,1,2,
1],[1,171,40,81,405,405,120,1080,360,81,81,162,405,486,10,120,1080,162,81,81,
81,162,10,90,1080,90,480,40,81,90,90,360,90,720,120,40,120,18,18,72,90,72,216,
1,120,18,72,1,10,1,5,5,1,2,1,5,6,2,1,1,1,2,1],[1,99,40,99,243,81,1080,24,72,9,
81,81,81,243,10,120,72,216,216,81,81,81,90,2,1080,18,96,36,216,108,40,81,90,2,
18,18,72,18,18,18,144,108,120,8,24,1,9,9,9,9,9,18,18,18,9,9,1,8,24,24,9,9,18,
9,9,1,2,4,24,12,9,9,1,1,1,2,2,12,1,2,1,1,1,1,1,1,1,1],[1,99,40,99,243,81,24,
1080,72,9,81,81,81,243,10,120,72,216,216,81,81,81,2,90,1080,18,96,36,216,108,
40,81,2,90,18,72,18,18,18,18,144,108,120,8,24,1,9,9,9,9,9,18,18,18,9,9,1,8,24,
24,9,9,18,9,9,1,2,4,24,12,9,9,1,1,1,2,2,12,1,2,1,1,1,1,1,1,1,1],[1,99,40,81,
81,81,24,1080,72,81,81,81,10,120,216,162,81,2,90,1080,18,96,40,81,90,18,72,18,
144,120,8,24,90,18,18,1,24,18,1,2,1,1,1,1,1,1,2,1,1],[1,99,40,81,81,81,1080,
24,72,81,81,81,10,120,216,162,81,90,2,1080,18,96,40,81,90,18,72,18,144,120,8,
24,90,18,18,1,24,18,1,2,1,1,1,1,1,1,2,1,1],[1,135,40,99,405,243,72,1080,216,
162,81,405,243,10,120,72,216,648,81,81,81,6,90,1080,54,288,216,40,81,2,90,54,
216,18,54,18,18,432,120,24,72,36,18,54,18,36,108,1,8,24,72,18,1,6,24,1,3,3,2,
2,1,2,3,2,3,1,1,1,1],[1,135,40,99,405,243,1080,72,216,162,81,405,243,10,120,
72,216,648,81,81,81,90,6,1080,54,288,216,40,81,90,2,18,54,216,54,18,18,432,
120,24,72,36,18,18,54,36,108,1,8,24,72,18,1,6,24,1,3,3,2,2,1,2,3,2,3,1,1,1,
1],[1,91,40,91,135,45,36,120,120,40,1,45,45,45,30,135,90,10,36,72,40,120,120,
45,30,45,45,90,45,45,90,10,10,10,36,36,36,30,40,120,120,30,45,45,45,90,10,10,
10,10,10,10,10,36,36,36,30,30,30,120,45,10,10,10,10,10,10,10,36,30,30,30,12,
10,10,10,30,12,10,12,1,1,1],[1,243,76,288,729,1188,1188,864,972,19,120,120,72,
576,96,96,96,96,2916,99,99,1080,72,1080,243,864,864,864,864,864,864,40,40,32,
144,144,72,288,144,288,288,243,1296,1296,120,120,72,72,144,144,72,288,144,288,
288,216,216,864,432,432,1,1,8,8,32,16,32,32,216,216,432,1,1,18,18,72,48,48,72,
288,144,288,288,4,4,32,9,9,144,4,4,12,12,96,12,12,1,12,12,1,1,1,1],[1,81,76,
288,729,1080,324,19,120,120,72,576,96,96,96,96,972,90,1080,81,432,40,40,32,
144,144,72,288,144,288,288,162,648,81,120,36,108,432,1,1,8,8,32,16,32,32,108,
1,9,48,4,4,32,9,9,4,12,1,12,1,1],[1,81,76,288,729,1080,324,19,120,120,72,576,
96,96,96,96,972,90,1080,81,432,40,40,32,144,144,72,288,144,288,288,162,648,81,
120,36,108,432,1,1,8,8,32,16,32,32,108,1,9,48,4,4,32,9,9,4,12,1,12,1,1],[1,81,
76,288,729,108,108,864,324,19,120,120,72,576,96,96,96,96,972,9,9,72,81,432,
432,864,864,864,864,40,40,32,144,144,72,288,144,288,288,81,81,648,81,36,36,
144,144,72,288,144,288,288,108,108,864,1,1,8,8,32,16,32,32,108,108,432,432,9,
9,72,72,288,144,288,288,4,4,32,9,9,72,12,12,96,1,1,1],[1,81,76,288,81,108,108,
864,324,19,120,120,72,576,96,96,96,96,324,9,9,72,81,432,432,864,864,864,864,
40,40,32,144,144,72,288,144,288,288,9,9,81,36,36,144,144,72,288,144,288,288,
108,108,864,1,1,8,8,32,16,32,32,36,36,72,9,9,72,72,288,144,288,288,4,4,32,9,9,
72,12,12,96,1,1,1],[1,81,76,288,81,1080,324,19,120,120,72,576,96,96,96,96,324,
90,1080,81,432,40,40,32,144,144,72,288,144,288,288,90,81,120,36,108,432,1,1,8,
8,32,16,32,32,36,1,9,48,4,4,32,1,9,4,12,1,4,1,1],[1,81,76,288,81,1080,324,19,
120,120,72,576,96,96,96,96,324,90,1080,81,432,40,40,32,144,144,72,288,144,288,
288,90,81,120,36,108,432,1,1,8,8,32,16,32,32,36,1,9,48,4,4,32,1,9,4,12,1,4,1,
1],[1,171,40,81,405,405,81,120,1080,360,405,10,120,81,162,1080,10,90,1080,90,
480,81,81,81,40,90,90,360,90,720,81,120,40,120,90,1,120,1,10,1,5,5,1,5,1,2,1,
1,1,1],[1,171,40,81,405,405,81,1080,120,360,405,10,120,81,162,1080,90,10,1080,
90,480,81,81,81,40,90,90,360,90,720,81,120,40,120,90,1,120,1,10,1,5,5,1,5,1,2,
1,1,1,1],[1,81,40,81,81,1080,405,10,120,81,90,1080,81,40,90,81,120,90,1,1,1,1,
5,1,1,1],[1,81,40,81,81,1080,405,10,120,81,90,1080,81,40,90,81,120,90,1,1,1,1,
5,1,1,1],[1,81,40,81,81,1080,81,10,120,81,90,1080,81,40,90,81,120,90,1,1,1,1,
1,1,1,1],[1,81,40,81,81,1080,81,10,120,81,90,1080,81,40,90,81,120,90,1,1,1,1,
1,1,1,1],[1,81,76,288,729,1080,324,243,324,10,120,48,96,96,96,96,324,243,90,
1080,432,81,4,40,32,144,288,162,648,81,120,36,432,54,144,1,16,32,36,1,48,36,4,
9,4,4,3,4,3,1,1],[1,81,76,288,729,1080,324,243,324,10,48,120,96,96,96,96,324,
243,90,1080,432,81,40,4,32,144,288,162,648,81,120,36,432,54,144,1,16,32,36,1,
48,36,4,9,4,4,3,4,3,1,1],[1,135,76,288,81,243,243,72,1080,540,81,243,243,10,
120,48,96,96,96,96,324,648,81,6,90,1080,54,432,288,81,4,40,32,144,288,90,54,
216,54,432,81,120,24,36,72,432,54,36,108,1,16,32,36,72,1,6,48,36,4,1,3,3,4,1,
3,3,4,1,1,1],[1,135,76,288,81,243,243,1080,72,540,81,243,243,10,48,120,96,96,
96,96,324,648,81,90,6,1080,54,288,432,81,40,4,32,144,288,90,54,216,54,432,81,
120,36,24,72,432,54,36,108,1,16,32,36,72,1,6,48,36,4,1,3,3,4,1,3,3,4,1,1,1],[
1,189,76,288,243,486,468,1116,288,756,243,81,243,10,120,48,96,96,96,96,1620,
243,12,90,1080,144,108,576,576,288,288,288,288,81,4,40,32,144,288,54,216,108,
864,432,81,4,120,48,36,48,96,36,144,288,144,432,54,216,36,108,1,16,32,36,144,
144,108,1,12,16,48,48,96,36,4,3,6,48,36,4,4,4,3,1,3,4,3,1,1],[1,189,76,288,
243,486,1116,468,288,756,243,81,243,10,48,120,96,96,96,96,1620,243,90,12,144,
1080,108,576,576,288,288,288,288,81,40,4,32,144,288,54,216,108,432,864,81,120,
4,36,48,48,96,144,36,288,432,144,54,216,36,108,1,16,32,144,36,144,108,1,12,48,
16,48,96,36,4,3,6,48,36,4,4,4,3,1,3,4,3,1,1],[1,135,49,72,81,243,243,1089,153,
72,297,81,243,243,10,12,120,24,24,24,24,81,81,729,243,90,6,36,1080,54,288,144,
72,72,72,72,81,81,81,40,1,8,36,72,90,54,216,54,108,432,81,120,1,9,24,12,24,72,
9,72,108,36,90,54,54,1,4,8,9,9,72,9,36,54,1,6,12,4,12,24,9,9,9,1,1,3,3,12,9,1,
1,1,1,3,3,1,1,1,3,1,1,1,1],[1,135,49,72,81,243,243,153,1089,72,297,81,243,243,
10,120,12,24,24,24,24,81,81,729,243,6,90,1080,36,54,144,288,72,72,72,72,81,81,
81,1,40,8,36,72,90,54,216,54,432,108,81,1,120,24,9,12,24,9,72,72,36,108,90,54,
54,1,4,8,9,9,9,72,36,54,1,6,4,12,12,24,9,9,9,1,1,3,3,12,9,1,1,1,1,3,3,1,1,1,3,
1,1,1,1],[1,99,40,99,243,81,1080,24,72,99,243,243,243,243,10,120,72,216,216,
81,243,243,90,2,1080,18,96,72,216,216,40,243,90,2,18,18,72,18,18,18,144,216,
120,8,24,81,90,2,18,18,18,18,18,18,72,18,18,18,18,18,18,18,1,8,24,24,18,18,18,
18,18,18,18,1,2,8,24,24,18,18,18,1,1,1,2,2,24,18,1,1,1,1,1,2,2,2,2,2,1,1,1,2,
2,1,2,1],[1,99,40,99,243,81,24,1080,72,99,243,243,243,243,10,120,72,216,216,
81,243,243,2,90,1080,18,96,72,216,216,40,243,2,90,18,72,18,18,18,18,144,216,
120,8,24,81,2,90,18,18,18,18,18,72,18,18,18,18,18,18,18,18,1,8,24,24,18,18,18,
18,18,18,18,1,2,8,24,24,18,18,18,1,1,1,2,2,24,18,1,1,1,1,1,2,2,2,2,2,1,1,1,2,
2,1,2,1],[1,171,40,99,567,405,120,1080,360,81,81,81,405,162,567,486,10,120,72,
216,1080,81,162,81,405,486,81,81,162,10,90,1080,90,480,216,40,162,81,81,81,
162,2,90,90,360,18,90,18,18,720,120,40,120,81,90,18,18,72,90,18,90,18,72,216,
1,8,24,120,90,18,18,72,1,10,24,18,1,5,5,2,2,1,1,2,1,5,5,2,6,2,1,5,1,1,1,6,2,2,
1,1,1,2,1],[1,171,40,99,567,405,1080,120,360,81,81,81,405,162,567,486,10,120,
72,216,1080,81,162,81,405,486,81,81,162,90,10,1080,90,480,216,40,162,81,81,81,
162,90,2,18,90,360,90,18,18,720,120,40,120,81,90,18,18,90,72,18,18,90,72,216,
1,8,24,120,18,90,18,72,1,10,24,18,1,5,5,2,2,1,1,2,1,5,5,2,6,2,5,1,1,1,1,6,2,2,
1,1,1,2,1],[1,99,40,99,243,81,1080,24,72,81,81,81,81,243,10,120,72,216,216,81,
324,81,81,90,2,1080,18,96,216,40,81,162,90,2,18,18,72,18,18,18,144,120,8,24,
81,90,18,18,18,72,18,18,18,1,8,24,24,18,18,18,1,2,24,18,1,1,1,2,2,1,1,1,1,1,2,
4,1,1,1,1,2,1],[1,99,40,99,243,81,24,1080,72,81,81,81,81,243,10,120,72,216,
216,81,324,81,81,2,90,1080,18,96,216,40,81,162,2,90,18,72,18,18,18,18,144,120,
8,24,81,90,18,18,72,18,18,18,18,1,8,24,24,18,18,18,1,2,24,18,1,1,1,2,2,1,1,1,
1,1,2,4,1,1,1,1,2,1],[1,117,52,312,351,234,156,156,312,468,351,117,351,13,13,
104,468,234,144,351,13,13,156,156,312,117,234,52,39,39,78,78,144,117,52,52,52,
39,39,13,13,39,39,52,39,39,13,13,13,13,1],[1,91,40,91,135,45,36,120,120,40,91,
135,135,135,30,135,90,10,36,72,40,120,120,45,30,36,135,135,90,45,45,90,10,10,
10,36,36,36,30,40,120,120,30,45,135,45,90,90,10,10,10,10,10,10,10,36,36,36,30,
30,30,120,45,45,45,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,36,36,36,30,
30,30,12,45,10,10,10,10,10,10,10,36,30,12,10,10,10,12,10,1,1,1,1],[1,81,76,
288,81,108,108,864,324,729,19,120,120,72,576,96,96,96,96,324,9,9,72,81,432,
432,864,864,864,864,972,40,40,32,144,144,72,288,144,288,288,9,9,81,36,36,144,
144,72,288,144,288,288,108,108,864,81,81,81,1,1,8,8,32,16,32,32,36,36,72,9,9,
72,72,288,144,288,288,108,108,216,4,4,32,9,9,72,12,12,96,9,9,72,1,1,1,1],[1,
81,76,288,81,1080,324,729,19,120,120,72,576,96,96,96,96,324,90,1080,81,432,
972,40,40,32,144,144,72,288,144,288,288,90,81,120,36,108,432,162,81,1,1,8,8,
32,16,32,32,36,1,9,48,108,4,4,32,1,9,4,12,9,9,1,4,1,12,1,1],[1,81,76,288,81,
1080,324,729,19,120,120,72,576,96,96,96,96,324,90,1080,81,432,972,40,40,32,
144,144,72,288,144,288,288,90,81,120,36,108,432,162,81,1,1,8,8,32,16,32,32,36,
1,9,48,108,4,4,32,1,9,4,12,9,9,1,4,1,12,1,1],[1,81,76,288,729,108,108,864,324,
729,19,120,120,72,576,96,96,96,96,972,9,9,72,81,432,432,864,864,864,864,40,40,
32,144,144,72,288,144,288,288,81,81,648,81,36,36,144,144,72,288,144,288,288,
108,108,864,81,81,81,1,1,8,8,32,16,32,32,108,108,432,432,9,9,72,72,288,144,
288,288,4,4,32,9,9,72,12,12,96,9,9,1,1,1,1],[1,81,76,288,729,1080,324,729,19,
120,120,72,576,96,96,96,96,972,90,1080,81,432,40,40,32,144,144,72,288,144,288,
288,162,648,81,120,36,108,432,162,648,81,1,1,8,8,32,16,32,32,108,1,9,48,4,4,
32,9,9,4,12,9,9,1,12,1,1,1],[1,81,76,288,729,1080,324,729,19,120,120,72,576,
96,96,96,96,972,90,1080,81,432,40,40,32,144,144,72,288,144,288,288,162,648,81,
120,36,108,432,162,648,81,1,1,8,8,32,16,32,32,108,1,9,48,4,4,32,9,9,4,12,9,9,
1,12,1,1,1],[1,81,76,288,81,108,108,864,324,81,19,120,120,72,576,96,96,96,96,
324,9,9,72,81,432,432,864,864,864,864,324,40,40,32,144,144,72,288,144,288,288,
9,9,81,36,36,144,144,72,288,144,288,288,108,108,864,9,9,81,1,1,8,8,32,16,32,
32,36,36,72,9,9,72,72,288,144,288,288,36,36,4,4,32,9,9,72,12,12,96,9,9,1,1,1,
1],[1,81,76,288,729,1080,324,729,19,120,120,72,576,96,96,96,96,972,90,1080,81,
432,40,40,32,144,144,72,288,144,288,288,162,648,81,120,36,108,432,162,81,1,1,
8,8,32,16,32,32,108,1,9,48,4,4,32,9,9,4,12,9,9,1,12,1,1,1],[1,81,76,288,729,
1080,324,729,19,120,120,72,576,96,96,96,96,972,90,1080,81,432,40,40,32,144,
144,72,288,144,288,288,162,648,81,120,36,108,432,162,81,1,1,8,8,32,16,32,32,
108,1,9,48,4,4,32,9,9,4,12,9,9,1,12,1,1,1],[1,243,76,288,81,729,729,1188,1188,
864,972,729,19,120,120,72,576,96,96,96,96,324,972,2916,99,99,1080,72,1080,243,
864,864,864,864,864,864,972,40,40,32,144,144,72,288,144,288,288,90,162,648,
243,81,81,1296,1296,120,120,72,72,144,144,72,288,144,288,288,216,216,864,432,
432,81,162,1,1,8,8,32,16,32,32,36,108,216,216,432,1,1,18,18,72,48,48,72,288,
144,288,288,108,4,4,32,1,9,9,9,9,9,144,4,4,12,12,96,12,12,9,9,1,4,12,12,12,1,
1,1,12,1,1,1,1],[1,243,76,288,81,729,729,1188,1188,864,972,729,19,120,120,72,
576,96,96,96,96,324,972,2916,99,99,1080,72,1080,243,864,864,864,864,864,864,
972,40,40,32,144,144,72,288,144,288,288,90,162,648,243,81,81,1296,1296,120,
120,72,72,144,144,72,288,144,288,288,216,216,864,432,432,81,162,1,1,8,8,32,16,
32,32,36,108,216,216,432,1,1,18,18,72,48,48,72,288,144,288,288,108,4,4,32,1,9,
9,9,9,9,144,4,4,12,12,96,12,12,9,9,1,4,12,12,12,1,1,1,12,1,1,1,1],[1,243,76,
288,81,729,729,1188,1188,864,972,729,19,120,120,72,576,96,96,96,96,324,972,
2916,99,99,1080,72,1080,243,864,864,864,864,864,864,972,40,40,32,144,144,72,
288,144,288,288,9,9,81,81,648,243,81,81,1296,1296,120,120,72,72,144,144,72,
288,144,288,288,216,216,864,432,432,81,81,81,1,1,8,8,32,16,32,32,36,36,72,108,
108,432,432,216,216,432,1,1,18,18,72,48,48,72,288,144,288,288,108,108,4,4,32,
9,9,9,9,9,9,72,72,144,4,4,12,12,96,12,12,9,9,1,12,12,1,1,1,1,1,1,1],[1,81,76,
288,81,1080,324,81,19,120,120,72,576,96,96,96,96,324,90,1080,81,432,324,40,40,
32,144,144,72,288,144,288,288,90,81,120,36,108,432,90,81,1,1,8,8,32,16,32,32,
36,1,9,48,36,4,4,32,1,9,4,12,1,9,1,4,1,4,1,1],[1,81,76,288,81,1080,324,81,19,
120,120,72,576,96,96,96,96,324,90,1080,81,432,324,40,40,32,144,144,72,288,144,
288,288,90,81,120,36,108,432,90,81,1,1,8,8,32,16,32,32,36,1,9,48,36,4,4,32,1,
9,4,12,1,9,1,4,1,4,1,1],[1,81,76,288,729,108,108,864,324,729,19,120,120,72,
576,96,96,96,96,972,9,9,72,81,432,432,864,864,864,864,40,40,32,144,144,72,288,
144,288,288,81,81,648,81,36,36,144,144,72,288,144,288,288,108,108,864,81,81,
648,81,1,1,8,8,32,16,32,32,108,108,432,432,9,9,72,72,288,144,288,288,4,4,32,9,
9,72,12,12,96,9,9,72,1,1,1,1],[1,63,28,336,63,189,63,336,252,288,378,63,189,
189,112,252,252,63,63,189,336,288,63,252,252,28,189,63,63,28,63,63,28,36,28,
1],[1,81,40,81,81,1080,81,10,120,81,405,90,1080,81,40,90,81,120,90,81,1,1,1,1,
1,1,5,1,1,1],[1,81,40,81,81,1080,81,10,120,81,405,90,1080,81,40,90,81,120,90,
81,1,1,1,1,1,1,5,1,1,1],[1,81,40,81,81,1080,81,10,120,81,81,90,1080,81,40,90,
81,120,90,81,1,1,1,1,1,1,1,1,1,1],[1,81,40,81,81,1080,81,10,120,81,81,90,1080,
81,40,90,81,120,90,81,1,1,1,1,1,1,1,1,1,1],[1,171,40,81,405,405,81,1080,120,
360,81,405,405,10,120,81,162,1080,405,90,10,1080,90,480,81,81,81,40,90,90,360,
90,720,81,81,81,120,40,120,90,90,90,81,1,120,90,1,10,1,5,5,1,1,5,5,1,2,5,1,1,
1,1,1,1,1],[1,171,40,81,405,405,81,120,1080,360,81,405,405,10,120,81,162,1080,
405,10,90,1080,90,480,81,81,81,40,90,90,360,90,720,81,81,81,120,40,120,90,90,
90,81,1,120,90,1,10,1,5,5,1,1,5,5,1,2,5,1,1,1,1,1,1,1],[1,243,76,288,81,729,
729,1116,540,288,972,243,243,324,729,972,10,48,120,96,96,96,96,324,324,2268,
324,243,243,243,486,90,18,144,1080,162,864,576,288,288,288,288,81,324,40,4,32,
144,288,243,90,162,648,162,432,1296,81,81,81,120,4,36,72,48,96,216,36,288,432,
144,54,54,216,162,144,432,1,16,32,81,36,36,216,36,144,54,216,1,18,48,16,48,96,
36,36,4,1,9,9,48,36,4,4,4,3,4,3,9,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,243,76,
288,81,729,729,540,1116,288,972,243,243,324,729,972,10,120,48,96,96,96,96,324,
324,2268,324,243,243,243,486,18,90,1080,144,162,576,864,288,288,288,288,81,
324,4,40,32,144,288,243,90,162,648,162,1296,432,81,81,81,4,120,72,36,48,96,36,
216,288,144,432,54,54,216,162,144,432,1,16,32,81,36,36,36,216,144,54,216,1,18,
16,48,48,96,36,36,4,1,9,9,48,36,4,4,4,3,4,3,9,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,
1],[1,135,76,288,135,729,243,1080,72,540,486,81,729,243,10,48,120,96,96,96,96,
540,648,648,243,81,243,90,6,1080,54,288,432,81,648,324,40,4,32,144,288,243,90,
6,54,54,216,54,54,54,432,81,120,36,24,72,432,108,54,54,54,36,108,1,16,32,81,
36,24,72,72,54,1,6,48,72,36,36,4,1,3,3,6,6,4,1,6,3,6,3,4,1,3,3,1,4,3,1,1],[1,
135,76,288,135,729,243,72,1080,540,486,81,729,243,10,120,48,96,96,96,96,540,
648,648,243,81,243,6,90,1080,54,432,288,81,648,324,4,40,32,144,288,243,6,90,
54,216,54,54,54,54,432,81,120,24,36,72,432,108,54,54,54,36,108,1,16,32,81,24,
36,72,72,54,1,6,48,72,36,36,4,1,3,3,6,6,4,1,6,3,6,3,4,1,3,3,1,4,3,1,1],[1,135,
76,288,81,243,243,1080,72,540,81,243,81,243,243,10,48,120,96,96,96,96,324,648,
81,243,243,90,6,1080,54,288,432,81,324,40,4,32,144,288,81,90,54,216,54,432,81,
120,36,24,72,432,90,54,54,36,108,1,16,32,81,36,72,54,1,6,48,36,36,4,1,3,3,4,1,
1,3,3,3,4,1,3,3,1,4,1,1,1],[1,135,76,288,81,243,243,72,1080,540,81,243,81,243,
243,10,120,48,96,96,96,96,324,648,81,243,243,6,90,1080,54,432,288,81,324,4,40,
32,144,288,81,90,54,216,54,432,81,120,24,36,72,432,90,54,54,36,108,1,16,32,81,
36,72,54,1,6,48,36,36,4,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,81,130,720,
1215,486,1080,810,405,10,120,120,240,240,240,240,486,810,90,1080,1080,486,405,
10,40,80,360,720,270,1080,120,90,1080,180,1,40,80,90,81,1,120,180,10,15,6,10,
5,6,10,6,5,1],[1,81,130,720,1215,486,1080,810,405,10,120,120,240,240,240,240,
486,810,90,1080,1080,486,405,40,10,80,360,720,270,1080,120,90,1080,180,1,40,
80,90,81,1,120,180,10,15,6,10,5,6,10,6,5,1],[1,171,40,99,567,405,120,1080,360,
99,243,243,567,162,567,486,10,120,72,216,1080,81,162,324,243,567,486,81,81,
162,10,90,1080,90,480,72,216,216,40,162,81,243,81,162,162,2,90,90,360,18,90,
18,18,720,216,120,40,120,81,81,81,2,90,18,18,18,18,18,72,90,18,18,18,90,18,18,
18,72,216,1,8,24,120,81,18,90,18,18,18,18,18,72,1,10,8,24,24,18,18,18,1,5,5,2,
2,24,18,1,1,2,1,5,5,2,2,2,2,6,2,2,4,1,5,1,1,1,2,2,6,2,2,1,1,1,2,2,2,1,1,1,1],[
1,171,40,99,567,405,1080,120,360,99,243,243,567,162,567,486,10,120,72,216,
1080,81,162,324,243,567,486,81,81,162,90,10,1080,90,480,72,216,216,40,162,81,
243,81,162,162,90,2,18,90,360,90,18,18,720,216,120,40,120,81,81,81,90,2,18,18,
90,18,18,18,72,18,18,18,18,90,18,18,72,216,1,8,24,120,81,18,18,90,18,18,18,18,
72,1,10,8,24,24,18,18,18,1,5,5,2,2,24,18,1,1,2,1,5,5,2,2,2,2,6,2,2,4,5,1,1,1,
1,2,2,6,2,2,1,1,1,2,2,2,1,1,1,1],[1,243,76,288,243,2187,729,1188,1188,864,972,
2187,19,120,120,72,576,96,96,96,96,972,2916,2916,729,99,99,1080,72,1080,243,
864,864,864,864,864,864,2916,40,40,32,144,144,72,288,144,288,288,99,99,243,
648,243,648,648,243,243,243,1296,1296,120,120,72,72,144,144,72,288,144,288,
288,216,216,864,432,432,243,243,243,1,1,8,8,32,16,32,32,72,72,72,216,216,432,
432,216,216,432,243,1,1,18,18,72,48,48,72,288,144,288,288,216,216,4,4,32,1,1,
9,9,9,9,18,18,18,18,72,72,144,4,4,12,12,96,12,12,9,9,18,18,1,4,4,12,12,12,12,
9,9,1,1,1,12,12,1,1,1,1,1,1,1,1,1,1,1],[1,243,76,288,81,729,729,1188,1188,864,
972,81,729,729,19,120,120,72,576,96,96,96,96,324,972,2916,729,99,99,1080,72,
1080,243,864,864,864,864,864,864,324,972,972,40,40,32,144,144,72,288,144,288,
288,9,9,81,81,648,243,81,81,1296,1296,972,120,120,72,72,144,144,72,288,144,
288,288,216,216,864,432,432,9,9,81,81,81,81,81,81,81,1,1,8,8,32,16,32,32,36,
36,72,108,108,432,432,216,216,432,81,81,81,1,1,18,18,72,48,48,72,288,144,288,
288,36,36,108,108,108,108,216,4,4,32,9,9,9,9,9,9,72,72,144,108,108,4,4,12,12,
96,12,12,9,9,9,9,9,9,72,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1],[1,243,76,288,81,729,
729,1188,1188,864,972,81,729,729,19,120,120,72,576,96,96,96,96,324,972,2916,
729,99,99,1080,72,1080,243,864,864,864,864,864,864,324,972,972,40,40,32,144,
144,72,288,144,288,288,90,162,648,243,81,81,1296,1296,972,120,120,72,72,144,
144,72,288,144,288,288,216,216,864,432,432,90,162,81,162,81,81,1,1,8,8,32,16,
32,32,36,108,216,216,432,162,81,1,1,18,18,72,48,48,72,288,144,288,288,36,108,
108,4,4,32,1,9,9,9,9,9,144,108,4,4,12,12,96,12,12,1,9,9,9,9,9,1,4,12,12,12,9,
9,1,1,1,4,12,12,1,1,1,12,1,1,1,1],[1,243,76,288,81,729,729,1188,1188,864,972,
81,729,729,19,120,120,72,576,96,96,96,96,324,972,2916,729,99,99,1080,72,1080,
243,864,864,864,864,864,864,324,972,972,40,40,32,144,144,72,288,144,288,288,
90,162,648,243,81,81,1296,1296,972,120,120,72,72,144,144,72,288,144,288,288,
216,216,864,432,432,90,162,81,162,81,81,1,1,8,8,32,16,32,32,36,108,216,216,
432,162,81,1,1,18,18,72,48,48,72,288,144,288,288,36,108,108,4,4,32,1,9,9,9,9,
9,144,108,4,4,12,12,96,12,12,1,9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,4,12,12,1,1,1,
12,1,1,1,1],[1,243,76,288,81,729,729,1188,1188,864,972,729,729,729,19,120,120,
72,576,96,96,96,96,324,972,2916,729,99,99,1080,72,1080,243,864,864,864,864,
864,864,972,40,40,32,144,144,72,288,144,288,288,90,162,648,243,81,81,1296,
1296,120,120,72,72,144,144,72,288,144,288,288,216,216,864,432,432,162,162,648,
81,81,81,162,1,1,8,8,32,16,32,32,36,108,216,216,432,162,81,1,1,18,18,72,48,48,
72,288,144,288,288,108,4,4,32,1,9,9,9,9,9,144,4,4,12,12,96,12,12,9,9,9,9,9,9,
1,4,12,12,12,9,9,1,1,1,12,1,1,1,1,1,1,1],[1,243,76,288,81,729,729,1188,1188,
864,972,729,729,729,19,120,120,72,576,96,96,96,96,324,972,2916,729,99,99,1080,
72,1080,243,864,864,864,864,864,864,972,40,40,32,144,144,72,288,144,288,288,
90,162,648,243,81,81,1296,1296,120,120,72,72,144,144,72,288,144,288,288,216,
216,864,432,432,162,162,648,81,81,81,162,1,1,8,8,32,16,32,32,36,108,216,216,
432,162,81,1,1,18,18,72,48,48,72,288,144,288,288,108,4,4,32,1,9,9,9,9,9,144,4,
4,12,12,96,12,12,9,9,9,9,9,9,1,4,12,12,12,9,9,1,1,1,12,1,1,1,1,1,1,1],[1,243,
76,288,81,729,729,1188,1188,864,972,729,729,729,19,120,120,72,576,96,96,96,96,
324,972,2916,729,99,99,1080,72,1080,243,864,864,864,864,864,864,972,40,40,32,
144,144,72,288,144,288,288,9,9,81,81,648,243,81,81,1296,1296,120,120,72,72,
144,144,72,288,144,288,288,216,216,864,432,432,81,81,81,81,648,81,81,81,81,81,
1,1,8,8,32,16,32,32,36,36,72,108,108,432,432,216,216,432,81,81,81,1,1,18,18,
72,48,48,72,288,144,288,288,108,108,4,4,32,9,9,9,9,9,9,72,72,144,4,4,12,12,96,
12,12,9,9,9,9,9,9,72,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1],[1,171,40,81,405,405,81,
120,1080,360,81,405,405,10,120,81,162,1080,486,405,10,90,1080,90,480,81,81,81,
40,405,90,90,360,90,720,81,81,81,120,40,120,90,90,90,81,81,81,1,120,90,81,1,
10,1,5,5,1,1,5,5,1,2,6,5,1,1,1,5,1,1,1,1,1,1,1],[1,171,40,81,405,405,81,1080,
120,360,81,405,405,10,120,81,162,1080,486,405,90,10,1080,90,480,81,81,81,40,
405,90,90,360,90,720,81,81,81,120,40,120,90,90,90,81,81,81,1,120,90,81,1,10,1,
5,5,1,1,5,5,1,2,6,5,1,1,1,5,1,1,1,1,1,1,1],[1,243,76,288,135,1215,729,540,
1116,288,972,81,243,243,729,324,1215,972,10,120,48,96,96,96,96,540,972,2268,
243,324,243,729,972,243,243,486,18,90,1080,144,162,576,864,288,288,288,288,81,
324,972,324,4,40,32,144,288,324,243,243,243,486,6,90,162,648,54,162,54,54,
1296,432,81,81,81,324,4,120,72,36,48,96,36,216,288,144,432,243,90,54,54,216,
162,54,162,54,144,432,1,16,32,81,81,81,24,36,36,72,36,216,144,162,54,54,216,1,
18,16,48,48,96,81,36,72,36,36,36,4,54,1,9,9,6,6,48,36,36,4,4,4,1,3,4,3,9,9,6,
12,4,4,4,4,3,9,3,3,3,12,6,1,4,4,4,4,3,3,3,6,1,1,1,4,3,1,1,1,1],[1,243,76,288,
135,1215,729,1116,540,288,972,81,243,243,729,324,1215,972,10,48,120,96,96,96,
96,540,972,2268,243,324,243,729,972,243,243,486,90,18,144,1080,162,864,576,
288,288,288,288,81,324,972,324,40,4,32,144,288,324,243,243,243,486,90,6,54,
162,648,162,54,54,432,1296,81,81,81,324,120,4,36,72,48,96,216,36,288,432,144,
243,90,54,54,162,216,54,54,162,144,432,1,16,32,81,81,81,36,24,72,36,216,36,
144,54,162,54,216,1,18,48,16,48,96,81,36,36,72,36,36,4,54,1,9,9,6,6,48,36,36,
4,4,4,1,3,4,3,9,9,6,12,4,4,4,4,9,3,3,3,3,12,6,1,4,4,4,4,3,3,3,6,1,1,1,4,3,1,1,
1,1],[1,351,130,720,81,1215,1215,486,1170,1170,720,1890,405,1215,1215,10,120,
120,240,240,240,240,486,972,810,810,4050,405,30,90,1080,360,270,1440,1440,720,
720,720,720,486,486,486,405,810,10,40,80,360,720,90,270,1080,270,2160,1080,
486,405,10,120,120,90,120,240,90,360,720,360,1080,270,180,540,1,40,80,90,90,
90,360,360,81,1,30,40,120,120,240,90,180,81,10,1,15,15,120,6,10,10,10,5,15,15,
6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,351,130,720,81,1215,1215,486,1170,1170,
720,1890,405,1215,1215,10,120,120,240,240,240,240,486,972,810,810,4050,405,90,
30,360,1080,270,1440,1440,720,720,720,720,486,486,486,405,810,40,10,80,360,
720,90,270,1080,270,1080,2160,486,405,120,10,90,120,120,240,360,90,720,1080,
360,270,180,540,1,40,80,90,90,360,90,360,81,1,30,120,40,120,240,90,180,81,10,
1,15,15,120,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,243,76,
288,243,2187,729,1188,1188,864,972,81,729,729,729,2187,19,120,120,72,576,96,
96,96,96,972,2916,2916,729,729,729,99,99,1080,72,1080,243,864,864,864,864,864,
864,324,2916,972,40,40,32,144,144,72,288,144,288,288,729,99,99,243,648,243,
648,648,243,243,243,1296,1296,972,120,120,72,72,144,144,72,288,144,288,288,
216,216,864,432,432,90,162,162,162,648,81,81,243,243,243,81,81,1,1,8,8,32,16,
32,32,72,72,72,216,216,432,432,216,216,432,162,162,243,81,81,1,1,18,18,72,48,
48,72,288,144,288,288,36,216,216,108,4,4,32,162,81,1,1,9,9,9,9,18,18,18,18,72,
72,144,108,4,4,12,12,96,12,12,1,9,9,9,9,9,18,18,9,9,9,9,1,4,4,12,12,12,12,9,9,
9,9,9,9,1,1,1,4,12,12,12,9,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,243,
76,288,243,2187,729,1188,1188,864,972,81,729,729,729,2187,19,120,120,72,576,
96,96,96,96,972,2916,2916,729,729,729,99,99,1080,72,1080,243,864,864,864,864,
864,864,324,2916,972,40,40,32,144,144,72,288,144,288,288,729,99,99,243,648,
243,648,648,243,243,243,1296,1296,972,120,120,72,72,144,144,72,288,144,288,
288,216,216,864,432,432,90,162,162,648,162,81,81,243,243,243,81,81,1,1,8,8,32,
16,32,32,72,72,72,216,216,432,432,216,216,432,162,162,243,81,81,1,1,18,18,72,
48,48,72,288,144,288,288,36,216,216,108,4,4,32,162,81,1,1,9,9,9,9,18,18,18,18,
72,72,144,108,4,4,12,12,96,12,12,1,9,9,9,9,9,18,18,9,9,9,9,1,4,4,12,12,12,12,
9,9,9,9,9,9,1,1,1,4,12,12,12,9,9,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1,1,1,1],[1,
243,76,288,243,2187,729,1188,1188,864,972,81,729,729,729,2187,19,120,120,72,
576,96,96,96,96,972,2916,2916,729,729,729,99,99,1080,72,1080,243,864,864,864,
864,864,864,324,2916,972,40,40,32,144,144,72,288,144,288,288,729,99,99,243,
648,243,648,648,243,243,243,1296,1296,972,120,120,72,72,144,144,72,288,144,
288,288,216,216,864,432,432,9,9,81,81,81,81,81,81,648,81,81,243,243,243,81,81,
1,1,8,8,32,16,32,32,72,72,72,216,216,432,432,216,216,432,81,81,81,81,243,81,
81,1,1,18,18,72,48,48,72,288,144,288,288,36,36,216,216,108,108,216,4,4,32,81,
81,81,1,1,9,9,9,9,18,18,18,18,72,72,144,108,108,4,4,12,12,96,12,12,9,9,18,18,
9,9,9,9,72,9,9,9,9,72,1,4,4,12,12,12,12,9,9,9,9,9,9,1,1,1,12,12,9,9,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,351,130,720,81,1215,1215,486,1170,1170,720,1890,
81,1215,405,1215,1215,10,120,120,240,240,240,240,486,972,810,810,4050,405,
1215,1215,90,30,360,1080,270,1440,1440,720,720,720,720,486,486,486,405,810,
810,810,40,10,80,360,720,405,90,270,1080,270,1080,2160,486,486,486,405,810,
120,10,90,120,120,240,360,90,720,1080,360,90,270,270,180,540,486,1,40,80,405,
90,90,360,90,360,81,270,1,30,120,40,120,240,90,90,90,180,81,10,1,15,15,120,6,
90,81,10,10,10,1,5,15,15,15,6,12,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,
10,6,5,1,1,1],[1,351,130,720,81,1215,1215,486,1170,1170,720,1890,81,1215,405,
1215,1215,10,120,120,240,240,240,240,486,972,810,810,4050,405,1215,1215,30,90,
1080,360,270,1440,1440,720,720,720,720,486,486,486,405,810,810,810,10,40,80,
360,720,405,90,270,1080,270,2160,1080,486,486,486,405,810,10,120,120,90,120,
240,90,360,720,360,1080,90,270,270,180,540,486,1,40,80,405,90,90,90,360,360,
81,270,1,30,40,120,120,240,90,90,90,180,81,10,1,15,15,120,6,90,81,10,10,10,1,
5,15,15,15,6,12,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,
243,76,288,243,2187,729,1188,1188,864,972,243,2187,2187,2187,2187,19,120,120,
72,576,96,96,96,96,972,2916,2916,729,2187,2187,99,99,1080,72,1080,243,864,864,
864,864,864,864,972,2916,2916,40,40,32,144,144,72,288,144,288,288,2187,99,99,
243,648,243,648,648,243,243,243,1296,1296,2916,120,120,72,72,144,144,72,288,
144,288,288,216,216,864,432,432,729,99,99,243,243,243,243,243,648,243,648,648,
243,243,243,243,243,243,243,1,1,8,8,32,16,32,32,72,72,72,216,216,432,432,216,
216,432,243,243,243,243,243,243,243,1,1,18,18,72,48,48,72,288,144,288,288,72,
72,216,216,216,216,216,4,4,32,243,243,243,1,1,9,9,9,9,18,18,18,18,72,72,144,
216,216,4,4,12,12,96,12,12,243,1,1,9,9,9,9,9,9,9,9,18,18,18,18,18,18,72,18,18,
18,18,72,1,4,4,12,12,12,12,9,9,9,9,9,9,18,18,18,18,1,1,1,4,4,12,12,12,12,9,9,
18,18,1,1,1,1,1,1,1,12,12,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,81,400,2880,3645,2916,1080,3240,3645,2430,100,120,1200,720,5760,960,
960,960,960,2916,9720,3645,90,1080,810,4320,2916,2430,400,40,320,1440,1440,
720,2880,1440,2880,2880,810,3240,810,2430,120,360,1080,4320,810,810,1080,1,10,
80,80,320,160,320,320,1080,972,1,90,480,1080,40,40,320,45,90,36,40,120,30,45,
90,81,10,36,120,45,10,36,30,10,30,10,12,1],[1,81,400,2880,3645,2916,1080,3240,
3645,2430,100,1200,120,720,5760,960,960,960,960,2916,9720,3645,90,1080,810,
4320,2916,2430,40,400,320,1440,1440,720,2880,1440,2880,2880,810,3240,810,2430,
120,360,1080,4320,810,810,1080,10,1,80,80,320,160,320,320,1080,972,1,90,480,
1080,40,40,320,45,90,36,40,120,30,45,90,81,10,36,120,45,10,36,30,10,30,10,12,
1],[1,891,400,2880,81,3645,3645,2916,10800,2160,8640,6480,3645,3645,2430,3645,
7290,100,120,1200,720,5760,960,960,960,960,2916,5832,3240,9720,19440,2430,
3645,3645,3645,7290,900,180,1080,720,10800,1620,8640,4320,8640,8640,8640,8640,
2916,2916,2916,2430,9720,400,40,320,1440,1440,720,2880,1440,2880,2880,3645,90,
810,3240,1620,810,810,6480,12960,2916,2430,2430,2430,1200,120,360,720,1440,
1440,720,2880,1440,2880,2880,2160,1080,8640,4320,4320,810,810,3240,810,810,
810,810,1080,3240,1,10,80,80,320,160,320,320,2430,360,1080,2160,1080,4320,972,
810,810,3240,10,1,90,180,720,480,480,720,2880,1440,2880,2880,1080,1080,972,40,
40,320,1,45,90,45,90,90,1440,36,1080,40,40,120,120,960,120,120,45,30,45,45,90,
90,90,90,81,10,36,72,40,120,120,120,30,45,45,45,90,90,81,10,10,10,36,36,36,30,
120,45,10,10,10,36,30,30,30,10,10,10,30,12,10,12,1,1],[1,891,400,2880,81,3645,
3645,2916,2160,10800,8640,6480,3645,3645,2430,3645,7290,100,1200,120,720,5760,
960,960,960,960,2916,5832,3240,9720,19440,2430,3645,3645,3645,7290,180,900,
10800,720,1080,1620,4320,8640,8640,8640,8640,8640,2916,2916,2916,2430,9720,40,
400,320,1440,1440,720,2880,1440,2880,2880,3645,90,810,3240,1620,810,810,12960,
6480,2916,2430,2430,2430,120,1200,720,360,1440,1440,720,2880,1440,2880,2880,
1080,2160,8640,4320,4320,810,810,3240,810,810,810,810,1080,3240,10,1,80,80,
320,160,320,320,2430,360,1080,1080,2160,4320,972,810,810,3240,1,10,180,90,720,
480,480,720,2880,1440,2880,2880,1080,1080,972,40,40,320,1,45,45,90,90,90,1440,
36,1080,40,40,120,120,960,120,120,45,30,45,45,90,90,90,90,81,10,36,72,40,120,
120,120,30,45,45,45,90,90,81,10,10,10,36,36,36,30,120,45,10,10,10,36,30,30,30,
10,10,10,30,12,10,12,1,1],[1,891,400,2880,891,10935,3645,2916,10800,2160,8640,
6480,81,3645,3645,3645,2430,10935,7290,100,120,1200,720,5760,960,960,960,960,
2916,5832,6480,19440,19440,3645,2430,3645,3645,7290,3645,3645,7290,900,180,
1080,720,10800,1620,8640,4320,8640,8640,8640,8640,2916,2916,2916,2430,3240,
19440,9720,400,40,320,1440,1440,720,2880,1440,2880,2880,2430,3645,3645,3645,
7290,900,180,1620,3240,1620,6480,6480,1620,1620,1620,6480,12960,2916,2916,
2916,2430,2430,2430,9720,1200,120,360,720,1440,1440,720,2880,1440,2880,2880,
2160,1080,8640,4320,4320,3645,90,810,810,3240,810,810,810,1620,1620,1620,810,
810,1080,3240,2916,1,10,80,80,320,160,320,320,2430,2430,2430,360,720,720,2160,
1080,4320,4320,2160,1080,4320,972,810,810,1620,810,810,3240,10,1,90,180,720,
480,480,720,2880,1440,2880,2880,2430,360,1080,2160,1080,1080,972,40,40,320,
810,810,1,10,90,45,90,45,180,90,90,180,720,720,1440,36,1080,1080,972,40,40,
120,120,960,120,120,1,45,30,45,45,90,45,180,90,90,90,90,90,90,81,10,36,72,40,
40,120,120,120,120,30,45,45,90,45,45,45,90,90,90,90,81,10,10,10,36,36,36,30,
40,120,120,120,30,45,45,45,90,90,81,10,10,10,10,10,10,10,36,36,36,30,30,30,
120,45,10,10,10,10,10,10,10,36,30,30,30,12,10,10,10,30,12,10,12,1,1,1],[1,891,
400,2880,891,10935,3645,2916,2160,10800,8640,6480,81,3645,3645,3645,2430,
10935,7290,100,1200,120,720,5760,960,960,960,960,2916,5832,6480,19440,19440,
3645,2430,3645,3645,7290,3645,3645,7290,180,900,10800,720,1080,1620,4320,8640,
8640,8640,8640,8640,2916,2916,2916,2430,3240,19440,9720,40,400,320,1440,1440,
720,2880,1440,2880,2880,2430,3645,3645,3645,7290,180,900,1620,6480,1620,3240,
6480,1620,1620,1620,12960,6480,2916,2916,2916,2430,2430,2430,9720,120,1200,
720,360,1440,1440,720,2880,1440,2880,2880,1080,2160,8640,4320,4320,3645,90,
810,810,810,3240,810,810,1620,1620,1620,810,810,1080,3240,2916,10,1,80,80,320,
160,320,320,2430,2430,2430,720,360,720,1080,2160,4320,4320,1080,2160,4320,972,
810,810,1620,810,810,3240,1,10,180,90,720,480,480,720,2880,1440,2880,2880,
2430,360,2160,1080,1080,1080,972,40,40,320,810,810,10,1,45,90,45,90,90,180,
180,90,720,720,1440,36,1080,1080,972,40,40,120,120,960,120,120,1,45,30,45,45,
45,90,90,180,90,90,90,90,90,81,10,36,72,40,40,120,120,120,120,30,45,45,45,90,
45,45,90,90,90,90,81,10,10,10,36,36,36,30,40,120,120,120,30,45,45,45,90,90,81,
10,10,10,10,10,10,10,36,36,36,30,30,30,120,45,10,10,10,10,10,10,10,36,30,30,
30,12,10,10,10,30,12,10,12,1,1,1],[1,891,400,2880,891,10935,3645,2916,10800,
2160,8640,6480,891,10935,10935,10935,2430,10935,7290,100,120,1200,720,5760,
960,960,960,960,2916,5832,6480,19440,19440,3645,2430,2916,10935,10935,7290,
3645,3645,7290,900,180,1080,720,10800,1620,8640,4320,8640,8640,8640,8640,2916,
2916,2916,2430,6480,19440,19440,400,40,320,1440,1440,720,2880,1440,2880,2880,
2430,3645,10935,3645,7290,7290,900,180,1620,3240,1620,6480,6480,1620,1620,
1620,6480,12960,2916,2916,2916,2430,2430,2430,19440,1200,120,360,720,1440,
1440,720,2880,1440,2880,2880,2160,1080,8640,4320,4320,3645,3645,3645,900,180,
1620,1620,1620,1620,1620,3240,1620,6480,6480,1620,1620,1620,1620,1620,1620,
1620,1080,3240,2916,2916,2916,1,10,80,80,320,160,320,320,2430,2430,2430,360,
720,720,2160,1080,4320,4320,2160,1080,4320,972,3645,1620,1620,1620,1620,1620,
1620,1620,3240,2916,10,1,90,180,720,480,480,720,2880,1440,2880,2880,2430,720,
360,1080,2160,1080,2160,1080,2160,972,40,40,320,1620,1620,1620,1,10,90,45,90,
45,180,90,90,180,720,720,1440,36,1080,2160,1080,972,40,40,120,120,960,120,120,
1620,1,10,45,90,30,45,45,90,90,90,45,180,90,90,90,180,180,720,90,180,90,90,
180,720,81,10,36,72,40,40,120,120,120,120,30,36,45,90,45,90,90,45,45,45,180,
90,90,180,90,90,81,10,10,10,36,36,36,30,40,40,120,120,120,120,30,90,45,45,45,
180,90,90,90,81,10,10,10,10,10,10,10,36,36,36,30,30,30,120,120,90,45,45,45,81,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,36,36,36,30,30,30,12,45,10,10,10,
10,10,10,10,36,30,12,10,10,10,12,10,1,1,1,1],[1,891,400,2880,891,10935,3645,
2916,2160,10800,8640,6480,891,10935,10935,10935,2430,10935,7290,100,1200,120,
720,5760,960,960,960,960,2916,5832,6480,19440,19440,3645,2430,2916,10935,
10935,7290,3645,3645,7290,180,900,10800,720,1080,1620,4320,8640,8640,8640,
8640,8640,2916,2916,2916,2430,6480,19440,19440,40,400,320,1440,1440,720,2880,
1440,2880,2880,2430,3645,10935,3645,7290,7290,180,900,1620,6480,1620,3240,
6480,1620,1620,1620,12960,6480,2916,2916,2916,2430,2430,2430,19440,120,1200,
720,360,1440,1440,720,2880,1440,2880,2880,1080,2160,8640,4320,4320,3645,3645,
3645,180,900,1620,1620,1620,1620,1620,6480,1620,3240,6480,1620,1620,1620,1620,
1620,1620,1620,1080,3240,2916,2916,2916,10,1,80,80,320,160,320,320,2430,2430,
2430,720,360,720,1080,2160,4320,4320,1080,2160,4320,972,3645,1620,1620,1620,
1620,1620,1620,1620,3240,2916,1,10,180,90,720,480,480,720,2880,1440,2880,2880,
2430,360,720,2160,1080,2160,1080,1080,2160,972,40,40,320,1620,1620,1620,10,1,
45,90,45,90,90,180,180,90,720,720,1440,36,2160,1080,1080,972,40,40,120,120,
960,120,120,1620,10,1,90,45,30,90,90,45,45,45,90,90,180,180,180,90,90,720,180,
90,90,180,90,720,81,10,36,72,40,40,120,120,120,120,30,36,90,45,90,45,45,90,45,
45,90,180,180,90,90,90,81,10,10,10,36,36,36,30,40,40,120,120,120,120,30,45,90,
45,45,90,180,90,90,81,10,10,10,10,10,10,10,36,36,36,30,30,30,120,120,45,90,45,
45,81,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,36,36,36,30,30,30,12,45,10,
10,10,10,10,10,10,36,30,12,10,10,10,12,10,1,1,1,1],[1,7371,3640,262080,7371,
331695,110565,265356,98280,98280,786240,294840,155520,7371,331695,331695,
331695,221130,331695,663390,910,10920,10920,65520,524160,87360,87360,87360,
87360,265356,530712,294840,884520,884520,1769040,155520,110565,221130,265356,
331695,331695,663390,331695,331695,663390,8190,8190,98280,65520,98280,73710,
393120,393120,786240,786240,786240,786240,265356,265356,265356,2021760,221130,
294840,884520,884520,1769040,3640,3640,29120,131040,131040,65520,262080,
131040,262080,262080,221130,331695,331695,331695,663390,663390,8190,8190,
73710,294840,73710,294840,589680,73710,73710,73710,589680,589680,1088640,
265356,265356,265356,221130,221130,221130,442260,884520,10920,10920,32760,
32760,131040,131040,65520,262080,131040,262080,262080,98280,98280,786240,
393120,393120,707616,110565,331695,331695,8190,8190,73710,73710,73710,73710,
73710,294840,73710,294840,589680,73710,73710,73710,73710,73710,73710,73710,
98280,98280,294840,294840,265356,265356,265356,91,91,7280,7280,29120,14560,
29120,29120,155520,221130,221130,221130,442260,32760,32760,65520,98280,98280,
393120,393120,98280,98280,393120,88452,331695,73710,73710,73710,73710,73710,
73710,73710,294840,294840,265356,91,91,8190,8190,65520,43680,43680,65520,
262080,131040,262080,262080,252720,110565,221130,32760,32760,98280,98280,
98280,98280,98280,98280,196560,88452,3640,3640,29120,155520,73710,73710,73710,
91,91,4095,4095,4095,4095,8190,8190,8190,8190,65520,65520,131040,58968,110565,
3276,3276,98280,98280,98280,98280,88452,3640,3640,10920,10920,87360,10920,
10920,73710,91,91,4095,4095,2730,2730,4095,4095,4095,4095,4095,4095,8190,8190,
8190,8190,8190,8190,65520,8190,8190,8190,8190,8190,8190,65520,7371,58968,910,
3276,3276,6552,6552,3640,3640,10920,10920,10920,10920,2730,2730,3276,3276,
4095,4095,4095,4095,4095,4095,4095,4095,4095,4095,8190,8190,8190,8190,8190,
8190,8190,8190,7371,910,910,910,3276,3276,3276,3276,3276,3276,2730,2730,3640,
3640,10920,10920,10920,10920,2730,2730,4095,4095,4095,4095,4095,4095,8190,
8190,8190,8190,8190,8190,7371,910,910,910,910,910,910,910,3276,3276,3276,3276,
3276,3276,2730,2730,2730,2730,2730,2730,10920,10920,4095,4095,4095,4095,4095,
4095,7560,7371,910,910,910,910,910,910,910,910,910,910,910,910,910,910,910,
7020,3276,3276,3276,3276,3276,3276,2730,2730,2730,2730,2730,2730,1092,1092,
4095,4095,910,910,910,910,910,910,910,3276,3276,2730,2730,1092,1092,910,910,
910,1092,1092,910,91,91,91,91,91,91,91,91,1]],
[1,2,3,3,4,4,4,5,6,6,6,6,7,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,10,10,12,12,12,12,
13,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,21,
24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,36,36,36,36,36,
36,36,36,36,36,36,36,39,40,40,40,48,48,48,48,48,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,60,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,80,80,80,81,81,81,81,81,81,81,81,91,96,96,96,96,108,108,108,
108,108,108,108,108,108,108,120,128,144,144,144,144,144,144,144,144,144,160,
162,162,162,162,162,162,162,162,162,162,162,162,168,192,192,216,216,216,216,
216,216,216,216,216,240,243,243,243,273,288,288,288,324,324,324,324,324,324,
324,324,324,324,324,324,324,360,384,405,405,432,432,432,432,480,486,486,486,
486,486,486,486,576,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,720,720,729,810,810,810,810,
972,972,972,972,972,972,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1440,1458,1458,
1458,1620,1620,1620,1620,1620,1620,1944,1944,1944,1944,1944,1944,1944,1944,
2592,2592,2592,2592,2592,2592,2592,2592,2592,2592,2592,2592,2592,2592,2880,
2916,2916,2916,2916,2916,2916,2916,3240,3240,3240,3240,3240,3240,3888,3888,
3888,3888,3888,3888,3888,3888,5184,5184,5184,5184,5184,5184,5616,5760,5832,
5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,5832,6048,
6480,6480,6480,6480,6480,6480,7776,7776,7776,7776,7776,7776,9720,9720,10368,
10368,11664,11664,11664,11664,11664,11664,11664,12960,12960,15552,15552,19440,
19440,23328,23328,23328,38880,38880,46656,58320,58320,116640,116640,233280,
233280,466560,466560,42456960],
[428,368,402,188,368,173,230,183,233,234,117,179,212,368,173,173,173,198,173,
123,419,357,358,264,151,242,242,242,242,183,146,179,103,103,66,212,230,198,
183,173,173,123,173,173,123,362,361,235,264,236,245,169,170,117,117,117,117,
183,183,183,61,198,179,103,103,66,404,403,310,226,226,271,192,228,194,195,198,
173,173,173,122,123,362,361,245,182,245,181,134,245,245,245,144,145,95,183,
183,183,198,198,198,161,103,360,359,301,302,226,226,271,192,228,194,195,234,
233,117,171,171,120,230,173,173,362,361,245,245,245,245,245,182,245,181,134,
245,245,245,245,245,245,245,236,235,182,181,183,183,183,426,427,383,369,310,
340,310,310,212,198,198,198,161,301,302,271,234,233,167,168,234,233,171,237,
173,245,245,245,245,245,245,245,181,182,183,427,426,362,361,264,282,281,271,
192,228,194,195,196,230,198,302,301,233,234,233,234,236,235,207,237,403,404,
310,212,245,245,245,426,427,400,399,400,399,361,362,362,361,264,271,228,273,
230,409,408,233,234,235,236,237,404,403,360,359,242,360,359,245,426,427,399,
400,410,411,399,399,400,400,400,399,361,362,362,362,361,361,264,362,361,363,
364,362,361,271,368,273,419,409,408,389,390,404,403,359,360,359,360,410,411,
408,409,399,400,399,400,400,399,399,400,400,399,361,362,362,361,363,364,363,
364,368,419,419,419,409,408,408,409,408,409,411,410,404,403,359,360,360,359,
410,411,400,399,399,400,400,399,361,362,366,365,363,364,368,419,419,419,419,
419,419,419,408,409,408,409,409,408,410,411,410,411,410,411,359,360,400,399,
399,400,400,399,367,368,419,419,419,419,419,419,419,419,419,419,419,419,419,
419,419,384,409,408,409,408,409,408,411,410,411,410,411,410,418,417,399,400,
419,419,419,419,419,419,419,408,409,410,411,418,417,419,419,419,417,418,419,
426,427,426,427,426,427,426,427,428],
[1,1,1,1,1,1,1,1,3,3,4,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,8,1,3,3,7,1,1,2,
1,1,1,2,6,6,6,21,21,22,24,23,1,3,3,4,4,4,4,8,1,8,13,18,1,3,3,35,1,1,1,1,1,3,3,
3,3,3,2,6,1,6,2,6,21,21,21,22,21,23,24,21,21,1,22,23,36,1,8,8,62,62,18,37,3,
67,68,21,21,24,24,72,73,74,75,76,3,3,4,23,22,120,1,6,6,21,21,21,21,21,21,21,
22,21,23,24,21,21,21,21,21,21,1,50,48,48,50,8,8,1,1,1,1,3,3,3,3,3,1,18,62,62,
102,21,21,72,67,68,70,71,67,68,74,172,16,21,21,21,21,21,21,21,88,86,30,150,
149,21,21,24,67,68,72,73,74,75,76,196,121,62,21,21,68,67,68,67,142,143,72,172,
21,21,21,157,21,21,21,149,150,150,149,150,149,21,21,149,150,151,72,154,229,
197,150,149,68,67,206,205,172,149,150,210,209,211,67,68,21,149,150,149,150,
185,184,149,149,150,150,150,149,150,149,149,149,150,150,151,21,21,185,184,149,
150,152,272,229,21,150,149,231,232,149,150,209,210,209,210,185,184,149,150,
149,150,149,150,150,149,219,218,218,219,150,149,149,150,185,184,219,218,272,
150,149,274,231,232,149,150,232,231,251,250,149,150,209,210,210,209,185,184,
150,149,219,218,218,219,150,149,185,184,219,218,272,274,274,274,274,274,149,
150,232,231,232,231,150,149,318,317,250,251,318,317,209,210,150,149,219,218,
218,219,367,272,274,274,274,274,274,274,274,274,274,274,274,274,150,149,274,
384,231,232,150,149,231,232,317,318,317,318,251,250,397,398,252,254,274,274,
274,274,274,274,274,276,275,318,317,397,398,274,274,274,398,397,274,420,421,
420,421,420,421,420,421,428],
[( 4,84)( 5,32)( 6,80)( 7,19)( 9,90)(10,33)(11,30)(12,31)(13,78)(15,79)(16,73)
(17,70)(18,42)(20,29)(21,86)(22,91)(23,88)(24,67)(25,46)(26,54)(27,83)(28,57)
(34,69)(35,71)(36,60)(37,74)(38,85)(39,68)(40,52)(41,76)(44,81)(45,63)(47,49)
(48,82)(50,65)(53,66)(55,75)(56,62)(58,72)(61,89),( 1,78,45,12,23)
( 2,40,90,75,39)( 3, 5,46,13, 8)( 4,71,70,59,18)( 6,82,76,44,31)
( 7,16,19,34,55)( 9,58,54,67,17)(10,73,14,84,33)(11,28,43,89,50)
(15,27,24,66,25)(20,86,38,37,65)(21,64,91,74,87)(22,35,62,26,49)
(29,63,42,85,69)(30,52,61,32,48)(36,72,81,77,80)(41,53,47,83,60)
(51,68,57,88,79)],
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8,1,5,1],[8,1,9,3,8,1,10,-2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,
1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1],[8,1,9,1,8,1,9,-1,
5,1,8,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[
6,1,4,1],[6,1,7,1,4,1,6,1,7,-1,6,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,
2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[4,1,6,-2],[8,1,7,-1,8,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
7,2,6,1,7,1,6,1,5,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,
-1,5,1,4,-2],[3,1,6,1],[3,1,6,-1,7,1,6,1,7,1,3,1,6,-1]]],[[[1,1,2,1],[2,-1,3,
2,2,1,3,1],[4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,
1,5,1],[6,2],[4,1,6,1,7,1,6,1,4,1,7,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1],[6,2],[4,1,6,1,8,1],[8,1,7,1,9,1,7,
-1,9,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[
4,1,6,1,4,1,6,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,
1,5,1],[6,1,4,1],[7,1,6,-2,4,1,6,2,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[
1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,4,1,6,-2,7,1,6,2]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]],[[1,1,2,
1],[2,-1,3,2,2,1,3,1],[4,4]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[
2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,2,4,1,6,-2,7,-1]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,
5,-3],[5,-1,6,2,5,2],[7,1,8,-1,7,2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,
6,2,5,2],[8,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,
-1],[8,2],[11,1,8,1,10,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,
4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,2],[10,1,7,1,
9,1,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,-2,1,1,2,
2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1],[
7,1,4,1],[8,1,7,1,9,-2,8,1,9,-2]],[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,
1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[7,1,4,1],[4,1,7,1,4,1,8,1,7,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[9,1,8,2,7,-1,8,-1,
7,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[7,1,8,1],[8,1,9,1,
10,1,9,-1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,
7,-1,8,-1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[5,1,8,-1],[11,1,
5,1,9,-1,10,1,11,-1,10,1,9,-2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,
2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[8,1,
9,1,10,-1,5,1,8,-1,10,-1,9,1,10,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,2],[7,1,8,1],[8,1,9,1,10,1,9,-1,8,-1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,-1,8,1,7,-1,8,-1]]],[[[1,1,2,-2,
1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[6,1,3,1,6,2,7,
2,6,1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,
6,-1],[7,1,3,1,6,-2,3,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[7,3]]],[[[1,1,
2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[
7,1,4,1],[8,1,7,-1,4,1,8,1,7,-1]],[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,
1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[7,1,4,1,7,1,4,1,7,-1,4,1,7,-1]]],[[[
1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[7,2,
6,1,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,-1,8,1,
7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-2,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,1,7,2,8,1,7,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,
-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[4,1,6,-2],[8,1,7,-1,8,1,7,1]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,1,
6,2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,
-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,4,4,1]],[[1,1,2,1],[2,-1,3,2,2,1,3,
1],[4,4]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[
4,1,6,1],[7,1,6,2,4,1,6,-2,7,-1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,4]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[7,-1,6,2,
4,1,6,-2]]],[[[1,1,2,1],[2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,-1,4,1,6,3,4,1,6,-1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,2,4,1,6,-2]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]],[[
1,1,2,1],[2,-1,3,2,2,1,3,1],[4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,
2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,4,1,6,-4,7,-1]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[6,1,4,1],[7,-1,6,
1,8,1,7,1,8,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,
1],[4,1,6,2,4,1,6,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,
2,2,1,5,1],[4,1,6,1],[7,1,6,1,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,
1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,3,4,1,6,-2,4,1]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,
-3],[5,-1,7,2,5,2],[8,2,9,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,7,2,5,2],[9,1,8,
-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,7,2,5,2],[8,1,9,-1,8,-1,9,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,
-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,2,8,1,7,2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,
6,2,5,2],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,-1,7,
-1,8,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,
6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[8,1,9,3,8,1,10,-2]],[[1,
1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,
1,2,-2,6,1,7,1],[8,1,5,1],[8,1,9,1,8,1,9,-1,5,1,8,1]],[[1,1,2,1],[1,1,2,-1,3,
-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,
1,8,1],[8,1,5,1],[8,1,9,1,10,2,9,-1]]],[[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[
2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1],[7,1,4,1],[7,1,9,1,8,
-1,9,2,7,1,9,-1,8,1]],[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,
6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1,4,1]],[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,
1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1],[7,1,4,1],[9,1,8,
-1,9,1,7,1,8,1,9,-1,4,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,
1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[5,1,8,-1],[
10,2,9,2,5,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1],[8,-1,9,-1,5,1,8,1,9,-1,8,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,
1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[8,1,9,1,10,2,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,
1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,-1,9,-2,7,-1,9,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,
1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,
1,8,1,10,-1,9,1,10,1,8,1,9,2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,
2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1],[8,1,9,1,8,1,9,
-1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,9,-1,10,2,8,1,
10,-1,9,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,
6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,9,-2,10,1,9,-2,8,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,9,-2,10,1,9,-2,8,-1]],[[
1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,
1,1,2,-2,6,1,7,1],[5,1,8,-1,5,1,8,-1,5,1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,
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1],[6,1,5,-2,6,-2,5,-1],[7,2],[9,1,8,1,7,1,8,-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]]],[[[1,1,2,-2,1,1,2,2,1,
1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[6,2,3,1,6,-1,3,1,6,-2,3,1,6,1]],[[
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1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,2],[5,-1,6,2,5,2,8,1],[9,1,8,1,9,1,
8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,3,8,1,7,1,8,-2]]],[[[1,1,2,1],[
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2],[7,3]]],[[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,
1,1,2,-2,5,1,6,1],[4,1,7,1],[7,1,8,1,4,1,7,-1,4,1,7,-1,8,2]],[[1,1,2,-2,1,1,2,
2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,-1,4,
1,7,1,4,1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,
-2],[3,1,6,1],[6,1,3,1],[6,1,8,1,7,2,8,2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[
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6,-1,7,-2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[
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1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2]]],[[[1,1,2,1],[2,1,1,1],[
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3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,2],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[
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1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[7,2,6,
1,3,1,6,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,
1],[6,1,4,1,6,-1,4,1,6,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,
5,2,2,1,5,1],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,5,2,7,1,5,1,
7,1,5,1,7,-2],[9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,-1,8,-2,7,-1],[5,2,7,1,5,1,7,1,5,1,7,-2,9,1],[9,1,10,1,9,1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
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1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
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1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[5,2,6,1,5,1,6,1,5,1,6,
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1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,
2],[7,1,8,1],[8,1,9,1,10,1,9,-1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,2,8,1,7,-1,8,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
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1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,1,8,1],[9,1,8,2,7,1,9,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
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1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[7,2],[7,1,8,1,9,-1,7,-1,8,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,2],[7,1,8,1],[8,1,9,1,10,1,9,-1,8,-1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-1,8,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1],[8,1,9,-2,7,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[
4,2,3,-1,4,1,3,-2],[1,1,2,-2,1,1,2,2,1,1,5,1],[6,1,5,1,6,1,5,2,6,1]],[[1,1,2,
-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[7,2,3,1,6,
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1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,-1,7,-1,8,
1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[8,1,7,-1,9,-1,7,1,
8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[9,1,8,1,7,1,8,-1,7,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,-1,8,-1,7,1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[9,1,8,1,9,-2,8,-1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,-1,7,-1,8,1,7,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,
1],[7,1,4,1,6,-4,7,-1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,2]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[7,-1,6,2,4,1,6,
-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,
1],[7,1,6,1,7,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,
5,1],[6,1,4,1,6,2,4,1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,4]]],[[[1,1,2,1],[3,
1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,-1,4,1,6,1,4,1,6,
-1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,4]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,-1,4,1,6,1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,-4]]],[[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,1],[7,1,6,3,4,1,6,-1,7,
-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,2,4,
1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,
1],[3,1,6,-1,7,1,6,1,7,2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,
7,2,5,2],[8,2],[9,-1,10,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,7,2,5,2],[9,1,8,
-1,9,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,2],[8,-1,9,-2,8,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[5,-1,6,2,5,2],[8,1,7,-2,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,-1,6,2,5,2,7,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,2],[9,1,7,1,9,
1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,
5,-3],[5,-1,7,2,5,2],[9,1,8,-2,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[8,1,5,-1,7,2,5,2,8,
1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,9,-2,8,-1,10,-1,9,1,10,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,
1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1,8,1,5,1,8,-1,5,1,8,-1]]],[[[1,1,2,-2,1,1,2,
2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1],[
7,1,4,1],[8,2],[10,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,
1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,2],[8,-1,9,-2,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,
5,-3],[5,-1,6,2,5,2],[7,1,8,-1,7,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,
2],[8,1,7,-1,8,1,7,-2,8,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,
8,3,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,-2,7,3,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,3,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,
-1,6,2,5,2],[8,1,7,-1,8,-1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[7,2],[8,2],[9,1,10,-1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[8,1,7,-1,8,3,7,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[
1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[
5,1,8,-1],[11,1,9,1,5,1,10,1,8,1,9,1,10,-1,11,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,
1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,
1],[9,1,5,1,8,1,5,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,
3,1,4,1],[1,1,2,1],[2,1,1,1],[7,1,2,1,7,1,6,-1,7,1,6,-1,2,-1,6,-1],[5,-1,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1],[1,1,2,1],[2,1,
1,1],[7,1,2,1,7,1,6,-1,7,1,6,-1,2,-1,6,-1],[8,1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[5,-1,6,2,5,2],[8,1,7,-3,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[
8,1,7,2,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,-2,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,
-1,6,-1,5,-3],[7,2],[7,1,5,-2,6,-2,5,1],[9,1,8,-2,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[5,-1,6,2,5,2],[7,3,8,1,7,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,-4]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,
-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,1,8,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,
-1,6,2,5,2],[7,2],[8,1,7,-1,9,-1,8,1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,
5,2],[8,1,7,1,8,1,7,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,
-1,5,1,4,-2],[6,1,3,1,6,-2,3,1,6,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,-1,4,1,6,1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,1,7,-1,8,-1,7,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,
5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,5,2,7,
1,5,1,7,1,5,1,7,-2],[9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,
2,7,-1,8,-2,7,-1],[5,2,7,1,5,1,7,1,5,1,7,-2,9,1],[9,1,10,1,9,1,10,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,
1,7,1,5,1,7,-2],[8,2],[9,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,5,2,6,1,5,
1,6,1,5,1,6,-2],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
7,2,6,-1,7,-2,6,-1],[5,2,6,1,5,1,6,1,5,1,6,-2,8,1],[8,1,9,1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,
1,5,1,6,1,5,1,6,-2],[7,2],[8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[
5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[8,2],[10,-1,11,1,8,1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,
1,6,1,5,-1],[8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,
-1,6,-1],[10,1,8,-3,10,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,
1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,
7,-1,5,-1,7,-1],[9,2],[11,-1,12,1,9,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[9,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,1,
9,-3,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1,7,
-2,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,
8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1],[9,1,7,-2,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-1,8,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-4,7,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,2,7,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[4,2,3,-1,4,1,3,-2],[1,1,2,-2,1,1,2,2,1,1,5,1],[6,1,5,1,6,1,5,2,6,
1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,
1],[7,2,3,1,6,-1,3,1,6,-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,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1,7,-2,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,2,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,1,8,1,7,1,8,-1,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[
4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,
5,1],[8,1,10,-1,9,1,8,1,9,2,10,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[
1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1],[9,1,8,1,9,
-1,5,1,8,-1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1],[8,1,9,1,8,1,9,-1,5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1],[9,1,7,-2,9,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,1,7,1,8,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,
7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,1,9,1],[10,1,8,-2,10,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,
5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,
7,-2,5,-1],[9,1,8,-1,9,1,8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[8,1,9,-2,8,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,
9,3,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-2,7,-1,8,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,3,7,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,
-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,8,1,10,-1,11,1,10,1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,-1,8,-2,7,-1],[9,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,
-1],[7,2],[10,1,7,1,9,-1,10,1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,
4]]],[[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,
-2,5,1,6,1],[4,1,7,-1,4,1,7,1,4,1,7,1,4,1]],[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,
1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[7,-1,4,1,7,-1,4,1,7,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,
2,4,1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,2,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,-2,4,1,6,1]],[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,1,4,1,6,-2,4,1]],[[1,1,2,1],[2,-1,
3,2,2,1,3,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[
1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,7,2,5,2],[9,1,8,-1,9,1,8,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,-1,
7,2,5,2],[5,3,7,1,5,1,7,-2,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,
7,-1,8,1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[5,3,6,1,5,1,6,-2,7,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[
5,-1,7,2,5,2],[8,2],[9,1,8,1,10,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[8,1,5,-1,7,2,
5,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,-1,7,2,5,2],[7,2,5,-1,7,-1,5,-3,8,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[8,1,5,-1,
7,2,5,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,7,2,5,2],[8,1,9,1,8,2,9,1,8,1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,
7,-1,5,-5,7,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,2],[8,1,7,1,9,1,
8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,-1,6,2,5,2,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[6,
2,5,-1,6,-1,5,-3,7,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,-1,6,2,5,2,7,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2],[10,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,
-1],[5,-1,7,-2,5,2,7,1,5,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,
1,8,1,7,2,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-5,6,-2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,
-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,
1,8,1],[8,1,5,1],[9,1,5,1,10,2,8,-1,9,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,
1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1,8,
1,5,1,8,-1,5,1,8,-1]]],[[[1,1,2,-2,1,1,2,2],[3,4],[1,1,2,1],[2,1,1,1],[6,1,5,
-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,1],[7,1,4,1,8,-2,7,-1,8,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,
-1,6,2,5,2],[7,2,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,3,7,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[6,2,5,-1,6,-1,5,-3],[7,2],[8,1,5,-1,6,2,5,2,8,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[7,3,5,-2,6,-2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,
8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,-1,7,1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,-1,7,-1,8,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,-1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,2,8,-1,9,1,8,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[8,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,
1,8,3,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,-1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,2,8,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,2,7,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,4,5,
1,6,-1,5,-2,6,2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,
1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[9,1,5,1,10,2,
8,1,10,-1,9,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[
7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,9,-2,8,-1,10,-1,
9,1,10,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,
6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,1,5,1,8,1,5,1,8,-1,5,1,8,-1]]],[[[1,1,2,
1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,
-2,6,1,7,1],[5,1,8,1],[8,1,5,1],[10,1,8,1,10,-1,9,2,5,1,10,1]],[[1,1,2,1],[1,
1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,
1,7,1],[5,1,8,-1],[9,1,5,1,8,1],[9,1,10,1,9,1,10,1]]],[[[1,1,2,1],[1,1,2,-1,3,
-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,
1,8,1],[5,1,8,-1],[8,1,9,1,5,1,8,-1,10,3,9,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,
3,1],[4,4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,-2,10,-1,8,1,10,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,3,7,1,5,1,7,-1,5,2,7,2,9,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,
2],[7,1,5,3,6,1,5,1,6,-2],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,
2],[7,1,8,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[7,1,5,3,6,1,5,1,6,-2],[8,1,7,1,8,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-3,8,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[5,-1,6,2,5,2],[7,1,8,-1,7,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,6,
2,5,-1,6,-1,5,-1,6,-1,5,-2],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,
4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,1,9,2,7,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[5,2,6,1,5,1,6,1,5,1,6,-2,8,1],[8,1,9,1,8,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2],[10,1,9,1,
10,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,
7,-1,9,-2,7,-1],[8,1,10,2,8,1,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[5,2,7,1,5,1,7,
1,5,1,7,-2,9,1],[9,1,10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[7,1,8,-2,7,-2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,
5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,
8,-2,7,1,8,2,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1],[
8,1,9,-2,8,1,7,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[8,1,
7,1,9,1,8,-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,
-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,-1,7,-1,
8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[7,1,8,1],[9,1,8,
-1,10,-1,8,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,
-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1],[9,1,8,1,
9,1,7,-1,8,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[
7,2],[7,1,9,-1,10,2,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,
6,-1,7,-2,6,-1],[8,1,5,2,6,1,5,1,6,1,5,1,6,-2],[8,1,9,1,8,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2],[10,-2,9,-1,10,-2,9,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,
2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,
-2,7,-2,5,-1],[8,1,9,-1,8,-2,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[7,2],[9,-2,8,-1,9,-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,
5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,
8,-1,7,-2,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,3,-1,2,-1,3,
-1],[5,5]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,2],[9,1,8,-1,9,1,8,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]]],[[[1,1,2,-2,1,1,
2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[3,1,6,-1,7,1,6,1,
7,2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,
1],[7,2,6,1,3,1,6,-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,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,
6,2,5,2],[8,1,7,2,8,1,7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[6,2,5,-1,6,-1,5,-3,7,1],[7,1,8,
-1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]]],[[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[6,2,4,1,6,-1]],[[1,
1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,1,5,1,7,-1,5,-2,7,2,
5,1],[8,1,9,1,8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2,9,1,8,
-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,1,5,1,6,-1,5,-2,6,2,5,1],[7,1,8,1,7,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-2,8,-1]]],[[[1,
1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1],[6,1,3,
1,6,-1],[8,1,7,1,8,1,7,1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,
-1,5,1,4,-2],[6,1,3,1,6,1,3,1,6,-1,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,1,5,
1,7,2,5,2,7,-1],[9,2,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,
1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,2,
9,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,1,5,1,6,2,5,2,6,-1],[8,2,7,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,1,7,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1,7,2,8,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,3,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,
1,5,-2,6,-2,5,-1],[7,2],[9,-2,8,-1,9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
6,1,5,-2,6,-2,5,-1],[7,3,8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,5,2,7,1,5,1,
7,1,5,1,7,-2],[9,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,
-2,7,-1],[8,1,10,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,
1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[8,2],[9,2,8,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
7,2,6,-1,7,-2,6,-1],[8,1,5,2,6,1,5,1,6,1,5,1,6,-2],[8,1,9,1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,
1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,1,9,-2,7,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,
6,1,5,1,6,-2],[7,2],[8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,
-1,8,-2,6,-1],[7,2],[9,1,10,2,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[
8,2,6,-1,8,-2,6,-1],[7,1,9,-2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[
7,2],[8,1,9,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,1,8,1,7,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[4,1,6,
-2,4,1]],[[1,1,2,1],[2,-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],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,
6,-2,5,-1],[7,2],[8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,
-1],[7,2,8,-1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[5,3,6,1,5,1,6,-2,7,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,
-1,6,-1,5,-5,6,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,-1,7,2,5,2],[5,3,7,1,5,1,7,-2,8,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-5,
7,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2],[9,-1,10,1,9,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2,9,-1,8,-1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,1,8,-2,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,
1,5,-1,6,2,5,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,2,8,2]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,-1,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,
-1,6,2,5,2],[7,1,8,-1,7,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,
7,-1,8,-1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,3,5,-2,6,-2,5,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,
1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,10,1,8,1,10,1,11,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,-1,8,-2,10,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,-1],[9,1,5,1,8,1],[9,1,10,1,9,1,10,1]],[[1,
1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[
7,1,8,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[7,1,5,3,6,1,5,1,6,-2,7,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[9,1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[7,-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-4,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,-1,7,-2,8,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[
7,1,5,-2,7,-2,5,-1],[8,2],[10,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,
-4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-4,9,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,
7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2,9,-1,8,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,
5,-2,7,-2,5,-1],[9,1,8,2,9,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[
5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[8,2,10,-1,8,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,
-1],[8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,
-1],[10,1,8,-3,10,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,
5,-1,7,-1],[9,2,11,-1,9,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[9,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,1,9,-3,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1],[7,2,9,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-2,7,2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
7,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,
2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-2,8,2,9,1,8,1,9,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,2,9,-1,8,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[8,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,
8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,2,7,1,8,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,
-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,2],[7,1,9,-1,10,2,9,1,10,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,
-1,7,-2,6,-1],[8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,
1,9,-2,7,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,2,8,1,9,1,8,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,1,8,-1,9,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,2,9,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,
1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[8,1,7,2,8,-1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-2],[5,
-3]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[3,1,6,1,
3,1,6,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1],[1,1,2,1],[2,-1,5,2,2,1,5,1],[
4,1,6,-1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[
5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,2,9,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,
2],[8,2,6,-1,8,-2,6,-1],[7,1,9,-3,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,
9,-2,7,-2],[8,1,10,-1,8,-2,10,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,3]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,
1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[7,1,9,-1,7,-2,9,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
5,1,6,1,7,-2,6,-2],[8,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,
6,-1],[7,2],[10,1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,2,5,2,6,1,5,1,6,
1,5,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,
10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,2,5,2,7,1,5,1,7,1,5,1,7,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,
5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[7,1,9,-1,7,-2,9,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,
1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,
2],[5,1,7,1,9,-2,7,-2],[8,1,10,-1,8,-2,10,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,
1,7,1,9,-2,7,-2],[10,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,
-1],[8,2],[10,1,11,2,10,-1,8,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,
-1,9,-2,7,-1],[8,2],[10,1,11,1,10,-1,11,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,
3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,-1,
5,1,8,1,5,1,8,1,5,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,
1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,-1,5,1,8,-1,5,1,8,1]]],[[[1,1,2,
-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[6,1,3,1,6,1,3,1,6,-1,
3,1,6,-1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1],[2,1,1,1],[5,2,4,-1,5,1,4,-2],[6,
1,3,1,6,-1,3,1,6,1]],[[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,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,2],[
8,1,5,-2,6,-2,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[8,1,7,1,8,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,-2]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[
7,1,5,-2,7,-2,5,-1],[9,1,8,2,9,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[8,1,9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,
9,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,-1,8,-1,7,1,
8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,-2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,1,3,-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],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[7,3,
8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,-1,6,2,5,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[5,-1,
7,2,5,2],[8,3,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[7,2,5,-1,7,-1,5,-3],[8,1,5,-1,7,2,5,2,8,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,
-1],[8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,
-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[10,1,8,2,10,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-2,8,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,
1,7,1,8,-2,7,-2],[9,2,7,1,5,1,7,-1,5,2,7,2,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[8,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[10,1,8,-2,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2],[5,1,6,1,7,-2,6,-2],[8,2,6,1,5,1,6,-1,5,2,6,2,8,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,
2],[7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-3,7,-1,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2],[8,-1,9,1,8,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,
1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,
-3,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2],[9,-1,10,1,9,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[8,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,
9,-2,7,-1],[8,2],[11,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,
1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,2],[10,1,9,-1,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,
-1,8,-2,6,-1],[7,2],[10,1,9,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,
4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,6,2,5,-1,6,-1,5,-1,6,-1,5,-2],[9,1,8,1,9,
1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,
2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,10,-1,
11,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,
-1,7,-1,5,-1,7,-1,5,-2],[10,1,9,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,1,5,1,6,2,5,
2,6,-1],[8,1,7,2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,
7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,-2,6,-2,5,-1],[7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,
-1],[8,1,7,1,8,1,7,2,8,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[
8,1,7,1,8,2,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-4]]],[[[1,1,2,-2,1,1,2,2],[
3,4],[1,1,2,1],[2,1,1,1],[6,1,5,-1,6,1,2,-1,1,1,2,-2,5,1,6,1],[4,1,7,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,
7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,-1],[11,1,8,-2,11,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,
-2,7,-1],[9,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,1,
9,-1],[10,1,7,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,
5,1],[7,1,5,-2,7,-2,5,-1],[8,2],[9,-1,10,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,
-2,7,-2,5,-1],[8,1,9,2,8,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,
-1],[7,2],[8,-1,9,-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,
8,2,7,-1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[8,-1,5,1,8,-1,5,1,8,1]],[[1,1,2,1],[
1,1,2,-1,3,-1,2,1,3,1],[4,4]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,
2,1],[2,1,1,1],[7,1,6,-1,7,1,2,-1,1,1,2,-2,6,1,7,1],[5,1,8,-1,5,1,8,1,5,1,8,1,
5,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,4],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
7,1,2,-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,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,
2],[7,1,8,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-2,6,-2,5,1,7,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,
7,2,5,1],[8,-4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,1,8,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,-1,8,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[7,-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,
8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-4,7,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,
-2,6,-2,5,-1],[7,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,
-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,-1,7,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-4,8,-1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,
5,-1],[8,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,-1,8,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,
7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,2,9,-1,8,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,1,8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,
1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-2,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,
6,-2,5,-1],[8,2,7,-1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[9,1,8,1,9,1,8,2,9,2,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,
9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,-1,9,1,8,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1,7,2,8,2,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,1,7,1,8,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,
-1,5,-3],[5,-1,6,2,5,2],[7,3,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,5,6,1,5,1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[8,-1,10,2,8,1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,2],[7,2,6,1,7,1,6,1,5,-1],[8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,-1],[8,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[9,-1,
11,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[9,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,
-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,2,9,-1,8,1,9,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,
5,-2,7,-2,5,-1],[8,1,5,1,7,-1,5,-2,7,2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,
-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,-1,7,1,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
1,5,-2,6,-2,5,-1],[7,1,5,1,6,-1,5,-2,6,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
7,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,2,6,1,5,1,6,-1,5,2,6,2,8,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,
1,6,-1,5,2,6,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-2,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,
2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,2,7,1,5,1,7,-1,5,2,7,2,9,-2]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,
2,7,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[10,1,8,-2,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,
-1,5,-2,7,2,5,1],[8,-4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,1,5,-1,7,-2,5,2,7,1,5,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,1,5,1,6,-1,5,2,6,2,8,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,
2,6,2],[7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,1,5,
-1,6,-2,5,2,6,1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,
1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[7,1,5,1,7,-1,5,2,7,2,9,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,1,7,-1,5,2,7,2],[8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,
5,-1],[8,1,7,-1,8,3,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,
1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,3,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,2]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,
1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[10,1,8,-2,10,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,
2],[5,2],[5,1,7,1,9,-2,7,-2],[8,-1,10,2,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[8,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-2,9,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,
-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[7,-1,9,2,7,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,
2],[7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-2,9,1,8,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,-2,7,-2,5,-1],[8,2,5,-1,7,-2,5,2,7,1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,
5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,-1,8,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[5,1,7,
-1,5,-2,7,2,5,1,8,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,
-2,8,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2,5,-1,6,-2,5,2,6,1,5,-1,7,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,-2,8,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,
5,-2,6,-2,5,-1],[5,1,6,-1,5,-2,6,2,5,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[8,1,7,-2,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[
7,1,8,1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,
8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,1,5,1,6,2,5,2,6,-1,7,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,
1],[8,1,5,1,7,2,5,2,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,
-2,6,-2],[7,-2,9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,4]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,
5,2,6,2],[7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,-2,10,-1,
8,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[8,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,1,7,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-2,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2],[8,
1,6,1,5,-2,6,-2,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,
1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,
2,9,1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-2,8,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,
5,-2,7,2,5,1],[8,2],[9,1,7,1,5,-2,7,-2,5,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[
7,3,6,1,5,-2,6,-2,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,
-3],[5,-1,6,2,5,2],[8,1,7,-1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[5,-1,6,2,5,2],[
8,1,7,1,8,1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2],[7,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
2,2,-1,3,-1],[5,40]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-2,8,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,
2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[9,1,11,1,9,1,11,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,
1,5,-1],[9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,
6,-1],[8,1,10,1,8,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[8,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,1,9,1],[11,1,12,
-1,9,1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,
-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[10,1,8,1],[10,1,11,-1,8,1,10,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[9,1,8,-1,9,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,2,10,1,11,
1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[8,2],[9,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[
5,2],[8,2,6,-1,8,-2,6,-1],[7,2],[10,2,9,1,10,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,
-2,6,-1],[8,1,6,2,5,-1,6,-1,5,-1,6,-1,5,-2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[
7,2],[8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,2,8,-2]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,
5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,-1,9,-1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[6,1,5,-2,6,-2,5,-1],[8,2,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,
-2,5,-1],[8,1,7,-1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,
-2,6,-2],[7,-2],[9,-1,7,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,
-2,6,-2],[9,1,7,1,9,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,4]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,
2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,-2],[10,-1,8,1,10,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,
2],[5,2],[5,1,7,1,9,-2,7,-2],[10,1,8,1,10,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,
4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[8,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[9,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,-2,7,-2,5,-1],[8,1,5,1,7,-1,5,-2,7,2,5,1,8,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,
1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[
11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,-1],[9,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,
1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[10,1,8,-1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[
5,1,6,-1,7,-2,6,-1,5,-1,6,-1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,1,5,1,6,-1,5,
-2,6,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,1,
5,1,6,-1,5,-2,6,2,5,1],[7,1,8,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,
5,-2,7,-2,5,-1],[8,1,5,1,7,-1,5,-2,7,2,5,1],[8,1,9,1,8,1,9,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,
2,5,1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,1,6,-2,5,-2,6,1,5,-1,6,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,-2,5,-2,6,1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,1,7,-2,5,-2,7,1,
5,-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[7,-2,5,-2,7,1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,3,7,-2,5,
-2,7,1,5,-1,7,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,1,
10,1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,3,
6,-2,5,-2,6,1,5,-1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,
-2],[7,1,9,1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[7,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,
-1],[5,1,6,-1,5,-2,6,2,5,1,7,3]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-4]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,
-2,5,-1],[5,1,7,-1,5,-2,7,2,5,1,8,3]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,-4]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,
1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-2,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,
6,2],[5,2],[5,1,6,1,8,-2,6,-2],[7,-1,9,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[7,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,2,8,1,7,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,-2,6,-2,5,-1],[7,2,5,1,6,-1,5,-2,6,2,5,1,7,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,
2,5,1],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,
7,1,9,1,7,1,9,1,7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,6,2,5,-1,6,-1,5,-1,6,
-1,5,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[10,1,8,1,
10,1,8,1,10,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2,
9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,1,6,1,5,1,6,-1,5,2,6,2,8,3]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,-2,5,
-2,6,1,5,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[7,1,9,
-1,7,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,1,7,1,5,1,7,-1,5,2,7,2,9,3]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,-2,5,-2,
7,1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,1,10,-1,8,-2,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[6,2,5,-1,6,-1,5,-3],[7,1,5,-2,6,-2,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-3],[
7,-1,5,-1,6,2,5,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,
6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-4]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,
5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,-4]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,
7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,1,8,-1,9,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,2,8,1,7,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,
4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,-1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,
-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,2,9,1,11,2]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,
1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[9,1,11,-1,9,-1,11,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,1,8,1,7,1,5,-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,
6,-1,5,-1,6,-1],[10,2,8,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,
-1,9,-2,6,-1,5,-1,6,-1],[8,1,10,-1,8,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[
8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,-1,9,1,7,-1,
9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,-1,9,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,-1,10,1,8,-1,10,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[10,1,8,-1,10,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[10,
1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,
2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[8,1,10,-1,11,
2,10,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,-1,8,
1,10,1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,
2],[8,2,6,-1,8,-2,6,-1],[7,2],[7,1,9,-1,10,2,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,
6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,1,9,-1,7,1,9,1,7,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,
-2,6,-1],[8,4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,
2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,2,5,1,7,-1,5,-2,7,2,5,1,8,2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2,5,1,6,-1,5,-2,6,2,5,1,7,2]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,1,6,-1,5,-2,6,2,5,1],[7,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,
-1],[8,2],[10,1,8,1,10,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,
7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,
-1,8,-2,6,-1],[7,2],[9,1,7,1,9,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,
-2,6,-1],[8,1,6,2,5,-1,6,-1,5,-1,6,-1,5,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,3,
5,-1,6,-2,5,2,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-1,6,1,5,-2,6,-2,5,-1,7,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,-2,7,-2,5,-1],[8,3,5,-1,7,-2,5,2,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[
8,-1,7,1,5,-2,7,-2,5,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,1,6,-2,5,-2,
6,1,5,-1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,1,5,1,6,-1,5,2,6,2,8,2]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,2],[5,1,6,1,7,-2,6,-2],[6,-2,5,-2,6,1,5,-1,6,-1,8,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,
-2],[9,1,7,-2,5,-2,7,1,5,-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[7,1,5,1,7,-1,
5,2,7,2,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[7,-2,5,-2,7,1,5,-1,7,-1,9,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,3,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,2,7,2,5,2,
7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,
1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,3,8,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,2,6,2,5,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,1,6,-2,5,-2,
6,1,5,-1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,1,5,1,6,-1,5,2,6,2,8,2]],[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
6,1,5,1,6,-1,5,2,6,2],[7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,1,7,-2,5,-2,7,1,5,-1,
7,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[7,1,5,1,7,-1,5,2,7,2,9,2]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,
2],[8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,
9,-2,7,-2],[10,1,8,-1,10,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,-2,5,-2,7,1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,
7,-2,6,-2],[8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,1,8,-2,6,-2],[9,1,7,-1,
9,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,-2,5,-2,6,1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2,5,1,6,-1,5,
-2,6,2,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,
1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,2,5,1,
7,-1,5,-2,7,2,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[8,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,
-2],[8,3,6,1,5,1,6,-1,5,2,6,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,1,5,1,6,-1,5,
2,6,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,3,7,1,5,1,7,-1,5,2,7,2]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,
-2,7,-2],[7,1,5,1,7,-1,5,2,7,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,1,6,-2,
5,-2,6,1,5,-1,6,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,-2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,
-2,7,-2],[9,1,7,-2,5,-2,7,1,5,-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[6,2,5,-1,6,-1,5,-3],[7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,2,5,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,
-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,-1,7,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,
5,-2,6,-2,5,-1],[7,4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,-1,9,1,
8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,-1,9,2,8,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,
-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,
-2,6,-2,5,-1],[7,-1,8,2,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[
7,1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,
2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,
7,2,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,1,7,-1,8,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,1,7,1,8,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,
-2,5,-1],[7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,-1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,1,7,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,
6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[8,1,7,1,8,-1,7,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,
2,5,1],[7,1,5,-2,7,-2,5,-1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,
7,-2,5,-1],[9,1,8,1,9,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,
-1,8,-2,6,-1],[7,1,9,-1,7,2,9,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,
2,6,-1,8,-2,6,-1],[9,1,7,-1,9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,
-1,9,-2,7,-1],[8,1,10,-1,8,2,10,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,
7,-1,9,-2,7,-1],[10,1,8,-1,10,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,
2,6,-1,8,-2,6,-1],[7,2],[9,1,7,1,9,1,10,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,
-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,-1,9,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[
5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[10,1,8,1,10,1,11,1,10,-1,11,1]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,
1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[10,1,8,-1,10,1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,
-2,7,-1],[9,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[6,2,5,-1,
6,-1,5,-1,6,-1,5,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,
6,-1],[7,2],[10,1,9,-1,7,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,
2,6,-1,8,-2,6,-1],[7,1,9,1,7,2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,
1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,10,-1,8,-1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,1,8,2,10,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,
2,6,-1,8,-2,6,-1],[7,2],[10,1,9,1,10,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,
-1],[8,1,6,2,5,-1,6,-1,5,-1,6,-1,5,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[
9,2,7,-1,9,-2,7,-1],[8,2],[11,1,10,1,11,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,
-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,
2],[8,2,6,-1,8,-2,6,-1],[7,1,9,1,7,2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,
2],[8,2,6,-1,8,-2,6,-1],[7,-1,9,2,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,1,8,2,10,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,-1,10,2,8,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,
2],[8,2,7,-1,8,-2,7,-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,2,5,2,7,-1,5,-1,7,-2,5,2,7,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,2,5,2,6,-1,
5,-1,6,-2,5,2,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,
1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[5,2],[5,1,7,1,9,-2,7,-2],[8,1,
10,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,
6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2],[5,2],[5,1,6,
1,8,-2,6,-2],[7,1,9,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,
-2,6,-2],[8,1,6,-2,5,-2,6,1,5,-1,6,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[8,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,1,6,-1,5,2,6,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,1,7,-2,5,-2,7,1,5,-1,
7,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,
8,-2,7,-2],[7,1,5,1,7,-1,5,2,7,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,1,8,-2,7,-2],[7,-2,5,-2,7,1,5,
-1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,
1,6,2,2,-2],[7,1,5,1,7,-1,5,2,7,2],[8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,1,5,
1,6,-1,5,2,6,2,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2],[6,-2,5,-2,6,1,5,-1,6,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,1,6,-1,5,2,6,2],[7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1],[4,
4]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,
-1,5,-3]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,-1,6,2,5,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2],[6,1,5,-2,6,-2,5,
-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-2,7,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,
1,5,-2,6,-2,5,-1],[7,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,
8,-1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,1,7,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,-1,6,-2,5,2,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,
-1],[8,1,9,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,
1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,-1,9,1,
8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,-1,7,-2,5,2,7,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,2,5,1,6,2,5,2,
6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-1,6,1,5,-2,6,-2,5,-1,7,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,
5,-1],[8,2,5,1,7,-1,5,-2,7,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,1,5,1,7,-1,5,-2,7,2,
5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2,5,1,6,-1,5,-2,6,2,5,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,
5,-1],[7,1,5,1,6,-1,5,-2,6,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,1,6,1,5,
-2,6,-2,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,1,6,2,5,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,2,7,2,5,2,7,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,-1,7,-2,5,2,7,1,5,-1,7,1,5,-2,7,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,2,6,
2,5,2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,-1,6,-2,5,2,6,1,5,-1,6,1,5,-2,6,-2,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,-1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,
1,5,-2,6,-2,5,-1],[8,1,7,1,8,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,4]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,
5,-2,7,2,5,1],[7,1,5,-2,7,-2,5,-1],[8,1,9,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1],[
7,1,5,-2,7,-2,5,-1],[9,1,8,1,9,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,4]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[7,-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1],[6,1,5,-2,6,-2,5,-1],[7,-1,8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1,7,1,5,-2,7,-2,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,-2,7,-3,5,-2,7,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1,6,1,5,-2,6,-2,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,-2,6,-3,5,-2,6,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,
3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,1,6,1,5,-2,6,
-2,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,-1,7,2]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[7,2,6,1,5,-2,6,-2,5,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,
-2,7,-1,5,-1,7,-1],[9,1,11,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[8,1,10,1,8,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,
-1],[9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,1,8,1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[9,
1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,-1],[8,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,
1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,-1,6,-1],[8,1,10,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,1,8,
1,7,1,5,-1],[5,2],[5,1,7,-1,10,-2,7,-1,5,-1,7,-1],[11,1,9,1,11,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,1,8,1,7,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1],[5,2],[5,1,6,-1,9,-2,6,-1,5,
-1,6,-1],[10,1,8,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,
1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,1,7,1,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,
7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,2],[11,1,10,-1,11,-1,10,1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,
1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[10,1,8,-2,10,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,
-2,7,-1],[5,2,7,1,5,1,7,1,5,1,7,-2,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[
8,2,6,-1,8,-2,6,-1],[7,2],[10,1,9,-1,10,-1,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,
-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[5,
2,6,1,5,1,6,1,5,1,6,-2,8,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[
2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,
-1],[10,1,8,1,10,1,8,2,10,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,
-2,7,-1],[10,1,8,-2,10,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,4]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,
1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,1,9,1,7,2,9,1,7,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[9,1,7,-2,9,-1,7,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,
2],[7,2,6,-1,7,-2,6,-1],[8,4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,
-2,7,-1],[10,1,8,-1,10,1,8,2,10,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,2,7,2,5,-1,
7,-1,5,-1,7,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,
-1],[9,1,7,-1,9,1,7,2,9,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,2,6,2,5,-1,
6,-1,5,-1,6,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,
1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,
-1],[7,1,9,1,7,1,9,-1,7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,6,2,5,-1,6,-1,5,
-1,6,-1,5,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[
1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,
10,1,8,1,10,-1,8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[
1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,
-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,
-1,1,1,2,1],[6,1,5,1,6,-1,5,2,6,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,1,7,-2,6,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,1,7,-1,5,
2,7,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[5,1,7,1,8,-2,7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[6,1,5,-2,6,-2,5,
-1],[7,1,8,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,
1,2,1],[5,1,6,-1,5,-2,6,2,5,1],[7,-4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,2,5,2,6,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,
6,2,5,1],[6,1,5,-2,6,-2,5,-1],[7,1,8,2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,
4]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[5,1,6,-1,5,-2,6,2,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[
2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,1,5,1,6,-1,5,-2,6,2,5,
1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,1,7,-1,5,-2,7,2,5,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[
8,1,5,1,7,-1,5,-2,7,2,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[5,1,7,-1,5,-2,7,2,5,1,
8,3]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[7,1,5,-2,7,-2,5,-2,7,-2,5,2,7,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[5,1,6,-1,
5,-2,6,2,5,1,7,3]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-2,6,-2,5,2,6,1,5,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,
-2,6,2,5,1],[7,-1,6,1,5,-2,6,-2,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[
5,2],[7,2,6,1,7,1,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[5,1,6,-1,7,-2,6,-1,5,-1,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,
7,1,8,1,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[5,2],[5,1,7,-1,8,-2,7,-1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,
6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,2,9,1,7,-1,9,1,7,-1,9,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,
-1,7,-2,6,-1],[5,2,6,1,5,1,6,1,5,1,6,-2,8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,
2],[9,2,7,-1,9,-2,7,-1],[8,2,10,1,8,-1,10,1,8,-1,10,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,
7,-1],[5,2,7,1,5,1,7,1,5,1,7,-2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,
2,6,-1,8,-2,6,-1],[7,1,9,1],[7,2,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2,7,1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,1,10,1],[8,2,11,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,
-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1],[7,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,-1,6,
-2,5,2,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,
1,2,1,6,2,2,-2],[7,1,5,-2,7,-2,5,-1],[8,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,-1,7,-2,5,2,7,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,
-1,5,-2,6,2,5,1],[7,-1,6,1,5,-2,6,-2,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,1,5,-2,6,-2,5,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,
1,5,1,7,1,5,1,7,-2],[5,2],[9,2,7,-1,9,-2,7,-1],[8,-1,10,1,8,-2]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,
8,-2,7,-1],[9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2],[5,2],[8,2,6,-1,8,-2,6,-1],[7,
-1,9,1,7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,
2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,1,6,-1,5,-2,6,2,5,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,
2,1],[6,1,5,-2,6,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,-2,6,-1],[8,1,6,2,5,-1,6,-1,5,
-1,6,-1,5,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,
-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,
1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,
6,-1,7,-2,6,-1],[8,1,6,2,5,-1,6,-1,5,-1,6,-1,5,-2,8,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[6,2,5,-1,6,-1,5,-1,6,
-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1],[9,1,7,2,5,-1,7,-1,5,-1,7,-1,5,-2,9,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[7,2,
5,-1,7,-1,5,-1,7,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-1],[2,
1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2,6,1,5,1,6,1,5,1,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,-1],[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1],[5,2],[7,2,6,-1,7,
-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1],[2,1,1,1],[1,1,2,1,6,
2,2,-2],[5,2,7,1,5,1,7,1,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
-1],[2,1,1,1],[1,1,2,1,6,2,2,-2],[5,2],[8,2,7,-1,8,-2,7,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,4,-1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,-1]],[[2,1,1,1],[1,1,2,1,3,2,2,-2]]],[[[1,
1]],[[2,1]]]]);
LIBTOM( "L4(3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,3,10],[1,2,11],[1,
2,12],[1,2,3,13],[1,2,3,14],[1,3,15],[1,2,3,16],[1,17],[1,2,5,18],[1,2,6,19],[
1,3,5,20],[1,3,6,21],[1,3,7,22],[1,3,6,23],[1,3,5,24],[1,3,4,25],[1,3,4,26],[
1,2,6,27],[1,2,5,28],[1,3,5,29],[1,3,6,30],[1,3,10,31],[1,2,3,12,16,32],[1,2,
3,11,16,33],[1,2,3,12,14,16,34],[1,2,3,11,13,16,35],[1,2,3,13,14,15,16,36],[1,
2,3,8,11,14,37],[1,2,3,8,12,13,38],[1,2,3,9,12,13,39],[1,2,3,9,11,14,40],[1,2,
3,9,13,14,41],[1,2,9,11,12,42],[1,2,3,10,16,43],[1,3,10,15,44],[1,2,3,10,16,
45],[1,2,3,9,16,46],[1,2,3,9,16,47],[1,2,3,8,9,16,48],[1,3,10,49],[1,4,50],[1,
4,51],[1,4,6,52],[1,4,5,53],[1,4,7,54],[1,4,7,55],[1,5,6,56],[1,4,5,6,57],[1,
7,58],[1,5,6,7,59],[1,4,7,60],[1,4,61],[1,4,62],[1,2,17,63],[1,3,17,64],[1,2,
17,65],[1,2,5,11,66],[1,2,6,12,67],[1,2,7,12,68],[1,2,7,11,69],[1,3,7,15,70],[
1,2,5,12,18,28,71],[1,2,6,11,19,27,72],[1,2,3,5,13,20,28,73],[1,2,3,6,14,21,
27,74],[1,2,3,5,14,18,20,29,75],[1,2,3,6,13,19,21,30,76],[1,2,3,5,16,18,24,28,
77],[1,2,3,6,16,19,23,27,78],[1,3,6,15,21,23,30,79],[1,3,5,15,20,24,29,80],[1,
3,4,15,25,26,81],[1,2,5,8,28,82],[1,2,6,8,27,83],[1,3,4,10,26,84],[1,2,5,12,
28,85],[1,2,6,11,27,86],[1,2,3,6,14,27,30,87],[1,2,3,5,13,28,29,88],[1,2,6,9,
27,89],[1,2,5,9,28,90],[1,91],[1,2,3,12,14,16,32,34,92],[1,2,3,11,13,16,33,35,
93],[1,2,3,11,12,13,14,15,16,34,35,36,94],[1,2,3,10,16,31,43,45,95],[1,2,3,8,
9,12,14,16,34,47,48,96],[1,2,3,8,9,11,13,16,35,46,48,97],[1,2,3,9,11,16,33,47,
98],[1,2,3,9,12,16,32,46,99],[1,2,3,9,13,14,15,16,36,46,47,100],[1,2,3,9,10,
12,14,16,34,45,46,101],[1,2,3,9,10,11,13,16,35,45,47,102],[1,2,3,8,9,10,16,45,
48,103],[1,2,3,8,9,16,46,47,48,104],[1,2,3,10,11,12,16,32,33,43,45,105],[1,2,
3,10,13,14,15,16,36,44,45,106],[1,2,3,9,12,13,14,15,16,34,36,39,41,47,107],[1,
2,3,9,11,13,14,15,16,35,36,40,41,46,108],[1,2,3,9,11,12,13,16,32,35,39,42,47,
109],[1,2,3,9,11,12,14,16,33,34,40,42,46,110],[1,2,3,8,9,11,13,14,15,16,33,36,
37,40,48,111],[1,2,3,8,9,12,13,14,15,16,32,36,38,39,48,112],[1,2,3,8,9,11,12,
13,14,16,34,35,37,38,41,42,48,113],[1,2,3,10,16,45,49,114],[1,3,10,15,31,44,
49,115],[1,2,3,10,15,16,43,44,49,116],[1,2,5,6,18,19,56,117],[1,3,4,25,50,
118],[1,3,4,25,51,119],[1,3,4,5,24,25,53,120],[1,3,4,6,23,25,52,121],[1,3,4,5,
6,20,21,25,57,122],[1,3,5,6,23,24,56,123],[1,3,7,22,58,124],[1,3,5,6,7,20,21,
22,59,125],[1,3,4,7,22,25,55,126],[1,3,4,7,22,25,60,127],[1,3,4,5,6,23,24,25,
57,128],[1,2,5,6,27,28,56,129],[1,3,4,5,6,26,29,30,57,130],[1,2,4,5,6,18,27,
57,131],[1,2,4,5,6,19,28,57,132],[1,3,4,5,6,20,30,57,133],[1,3,4,5,6,21,29,57,
134],[1,2,5,6,18,28,56,135],[1,2,5,6,19,27,56,136],[1,3,5,6,20,29,56,137],[1,
3,5,6,21,30,56,138],[1,3,4,6,21,26,52,139],[1,3,4,5,20,26,53,140],[1,3,4,7,22,
26,54,141],[1,3,4,5,25,29,53,142],[1,3,4,6,25,30,52,143],[1,3,4,25,26,51,
144],[1,3,4,25,26,50,145],[1,3,5,6,7,24,30,59,146],[1,3,5,6,7,23,29,59,147],[
1,3,4,25,61,148],[1,3,4,25,62,149],[1,2,9,17,65,150],[1,2,3,16,17,63,64,65,
151],[1,2,8,17,65,152],[1,2,9,17,63,153],[1,2,9,17,63,154],[1,2,3,5,8,11,14,
24,37,66,155],[1,2,3,6,8,12,13,23,38,67,156],[1,2,6,9,11,12,19,42,67,157],[1,
2,5,9,11,12,18,42,66,158],[1,2,3,5,9,11,14,20,40,66,159],[1,2,3,6,9,12,13,21,
39,67,160],[1,2,3,7,9,11,14,22,40,69,161],[1,2,3,7,9,12,13,22,39,68,162],[1,3,
7,10,15,22,44,70,163],[1,3,4,10,26,31,164],[1,3,6,10,30,31,165],[1,3,5,10,29,
31,166],[1,2,3,6,12,14,16,27,34,67,167],[1,2,3,5,11,13,16,28,35,66,168],[1,2,
3,5,11,16,29,33,66,169],[1,2,3,6,12,16,30,32,67,170],[1,3,4,10,26,31,84,171],[
1,2,3,5,12,16,18,24,28,32,71,77,85,172],[1,2,3,6,11,16,19,23,27,33,72,78,86,
173],[1,2,3,5,13,14,15,16,18,20,24,28,29,36,73,75,77,80,88,174],[1,2,3,6,13,
14,15,16,19,21,23,27,30,36,74,76,78,79,87,175],[1,2,3,6,8,11,14,19,21,27,37,
72,74,83,176],[1,2,3,5,8,12,13,18,20,28,38,71,73,82,177],[1,3,4,10,15,25,26,
44,81,84,178],[1,2,3,5,9,12,13,20,28,39,73,85,90,179],[1,2,3,6,9,11,14,21,27,
40,74,86,89,180],[1,2,3,6,9,11,14,19,27,30,40,72,87,89,181],[1,2,3,5,9,12,13,
18,28,29,39,71,88,90,182],[1,2,3,6,8,11,14,27,30,37,83,86,87,183],[1,2,3,5,8,
12,13,28,29,38,82,85,88,184],[1,2,3,6,8,9,16,19,23,27,48,78,83,89,185],[1,2,3,
5,8,9,16,18,24,28,48,77,82,90,186],[1,3,4,10,26,49,84,187],[1,4,51,188],[1,4,
50,189],[1,4,5,6,52,56,57,190],[1,4,5,6,53,56,57,191],[1,4,5,6,50,51,52,53,57,
192],[1,4,7,54,58,193],[1,4,5,6,7,52,53,54,59,194],[1,4,7,50,54,55,195],[1,4,
7,51,54,60,196],[1,4,6,52,197],[1,4,5,53,198],[1,4,7,54,199],[1,4,7,54,200],[
1,4,5,7,53,54,201],[1,4,6,7,52,54,202],[1,4,7,50,51,54,203],[1,4,5,7,51,53,54,
204],[1,4,6,7,51,52,54,205],[1,4,7,50,60,206],[1,4,6,7,50,52,54,207],[1,4,5,7,
50,53,54,208],[1,4,6,7,52,55,209],[1,4,5,7,53,55,210],[1,4,7,51,55,211],[1,4,
5,7,53,60,212],[1,4,6,7,52,60,213],[1,4,6,52,62,214],[1,4,6,52,61,215],[1,4,5,
53,61,216],[1,4,5,53,62,217],[1,4,50,61,218],[1,4,50,62,219],[1,4,51,62,220],[
1,4,51,61,221],[1,2,3,10,11,12,16,31,32,33,43,45,95,105,222],[1,2,3,8,9,11,12,
13,14,15,16,33,34,35,36,37,38,40,41,42,46,48,93,94,97,108,110,111,113,223],[1,
2,3,8,9,11,12,13,14,15,16,32,34,35,36,37,38,39,41,42,47,48,92,94,96,107,109,
112,113,224],[1,2,3,9,10,11,12,14,16,32,33,34,40,42,43,45,46,92,99,101,105,
110,225],[1,2,3,9,10,11,12,13,16,32,33,35,39,42,43,45,47,93,98,102,105,109,
226],[1,2,3,9,10,11,12,13,14,15,16,34,35,36,39,40,41,44,45,46,47,94,100,101,
102,106,107,108,227],[1,2,3,9,10,11,12,16,32,33,43,45,46,99,105,228],[1,2,3,9,
10,11,12,16,32,33,43,45,47,98,105,229],[1,2,3,10,11,12,16,32,33,43,45,49,105,
114,230],[1,2,3,8,9,10,11,12,13,14,15,16,32,33,36,37,38,39,40,43,44,45,48,103,
105,106,111,112,231],[1,2,3,8,9,11,12,13,14,15,16,33,34,36,37,39,40,41,42,46,
47,48,96,98,100,104,107,110,111,232],[1,2,3,8,9,11,12,13,14,15,16,32,35,36,38,
39,40,41,42,46,47,48,97,99,100,104,108,109,112,233],[1,2,3,8,9,10,11,12,13,14,
16,34,35,37,38,41,42,45,46,47,48,96,97,101,102,103,104,113,234],[1,2,3,8,9,10,
16,31,43,45,48,49,95,103,114,235],[1,2,3,10,13,14,15,16,31,36,43,44,45,49,95,
106,114,115,116,236],[1,2,5,6,8,18,19,56,117,237],[1,2,5,6,9,18,19,56,117,
238],[1,3,4,10,25,50,118,239],[1,3,4,10,25,51,119,240],[1,3,5,6,10,23,24,56,
123,241],[1,3,5,6,10,23,24,56,123,242],[1,3,7,10,22,58,124,243],[1,2,5,6,11,
18,19,27,56,72,117,136,244],[1,2,5,6,12,18,19,28,56,71,117,135,245],[1,2,3,5,
6,14,18,19,20,29,56,75,117,137,246],[1,2,3,5,6,13,18,19,21,30,56,76,117,138,
247],[1,2,3,5,6,16,19,23,24,27,56,78,123,136,248],[1,2,3,5,6,16,18,23,24,28,
56,77,123,135,249],[1,2,3,4,5,6,14,18,20,21,25,27,29,57,74,75,122,131,134,
250],[1,2,3,4,5,6,13,19,20,21,25,28,30,57,73,76,122,132,133,251],[1,3,5,6,15,
21,23,24,30,56,79,123,138,252],[1,3,5,6,15,20,23,24,29,56,80,123,137,253],[1,
3,4,15,25,26,50,81,118,145,254],[1,3,4,15,25,26,51,81,119,144,255],[1,2,3,4,5,
6,16,18,19,23,24,25,27,28,57,77,78,128,131,132,256],[1,3,4,5,6,15,20,21,23,24,
25,29,30,57,79,80,128,133,134,257],[1,3,4,5,15,20,24,25,26,29,53,80,81,120,
140,142,258],[1,3,4,6,15,21,23,25,26,30,52,79,81,121,139,143,259],[1,3,5,6,7,
15,20,21,22,23,24,29,30,59,79,80,125,146,147,260],[1,2,5,6,8,27,28,56,82,83,
129,261],[1,2,5,6,9,27,28,56,89,90,129,262],[1,2,3,5,6,16,18,19,23,24,27,28,
56,77,78,117,123,129,263],[1,3,4,5,6,15,20,21,23,24,25,26,29,30,57,79,80,81,
122,128,130,264],[1,2,5,6,12,18,27,28,56,71,85,129,135,265],[1,2,5,6,11,19,27,
28,56,72,86,129,136,266],[1,2,3,5,6,14,21,27,28,30,56,74,87,129,138,267],[1,2,
3,5,6,13,20,27,28,29,56,73,88,129,137,268],[1,2,3,4,5,6,14,18,20,26,27,29,30,
57,75,87,130,131,133,269],[1,2,3,4,5,6,13,19,21,26,28,29,30,57,76,88,130,132,
134,270],[1,2,5,6,7,12,28,59,67,68,85,271],[1,2,5,6,7,11,27,59,66,69,86,272],[
1,7,91,273],[1,2,3,8,9,16,17,48,63,64,65,150,151,152,274],[1,2,3,9,16,17,47,
63,64,65,151,154,275],[1,2,3,9,16,17,46,63,64,65,151,153,276],[1,2,3,5,11,12,
13,14,15,16,28,34,35,36,66,85,94,168,277],[1,2,3,6,11,12,13,14,15,16,27,34,35,
36,67,86,94,167,278],[1,2,3,5,11,13,16,28,29,33,35,66,88,93,168,169,279],[1,2,
3,6,12,14,16,27,30,32,34,67,87,92,167,170,280],[1,2,3,7,11,12,13,14,15,16,34,
35,36,68,69,70,94,281],[1,2,3,5,9,11,13,14,15,16,20,28,35,36,40,41,46,66,73,
108,159,168,282],[1,2,3,6,9,12,13,14,15,16,21,27,34,36,39,41,47,67,74,107,160,
167,283],[1,2,3,6,8,9,11,12,13,14,16,19,23,27,34,35,37,38,41,42,48,67,78,113,
156,157,167,284],[1,2,3,5,8,9,11,12,13,14,16,18,24,28,34,35,37,38,41,42,48,66,
77,113,155,158,168,285],[1,2,3,5,9,11,12,14,16,18,20,29,33,34,40,42,46,66,75,
110,158,159,169,286],[1,2,3,6,9,11,12,13,16,19,21,30,32,35,39,42,47,67,76,109,
157,160,170,287],[1,2,3,6,9,11,12,14,16,19,27,33,34,40,42,46,67,72,110,157,
167,288],[1,2,3,5,9,11,12,13,16,18,28,32,35,39,42,47,66,71,109,158,168,289],[
1,2,3,6,8,9,12,13,14,15,16,21,23,30,32,36,38,39,48,67,79,112,156,160,170,
290],[1,2,3,5,8,9,11,13,14,15,16,20,24,29,33,36,37,40,48,66,80,111,155,159,
169,291],[1,2,3,5,9,10,11,13,16,28,35,45,47,66,90,102,168,292],[1,2,3,6,9,10,
12,14,16,27,34,45,46,67,89,101,167,293],[1,2,3,5,8,9,11,13,16,28,35,46,48,66,
82,97,168,294],[1,2,3,6,8,9,12,14,16,27,34,47,48,67,83,96,167,295],[1,2,3,4,
10,16,26,31,43,45,84,95,164,296],[1,3,4,10,15,25,26,31,44,49,81,115,164,297],[
1,3,6,10,15,21,23,30,31,44,49,79,115,165,298],[1,3,5,10,15,20,24,29,31,44,49,
80,115,166,299],[1,2,3,6,8,9,11,13,14,15,16,19,21,23,27,30,33,36,37,40,48,72,
74,76,78,79,83,86,87,89,111,173,175,176,180,181,183,185,300],[1,2,3,5,8,9,12,
13,14,15,16,18,20,24,28,29,32,36,38,39,48,71,73,75,77,80,82,85,88,90,112,172,
174,177,179,182,184,186,301],[1,3,4,10,15,25,26,31,44,49,81,84,115,171,178,
187,302],[1,3,4,5,6,23,24,25,52,56,57,121,123,128,190,303],[1,3,4,5,6,23,24,
25,53,56,57,120,123,128,191,304],[1,3,4,5,6,23,24,25,50,51,52,53,57,118,119,
120,121,128,192,305],[1,3,4,5,20,26,53,140,198,306],[1,3,4,6,21,26,52,139,197,
307],[1,3,4,7,22,26,54,141,199,308],[1,3,4,7,22,26,54,141,200,309],[1,3,4,5,7,
20,22,26,53,54,140,141,201,310],[1,3,4,6,7,21,22,26,52,54,139,141,202,311],[1,
3,4,6,7,21,22,25,26,51,52,54,139,141,144,205,312],[1,3,4,5,7,20,22,25,26,51,
53,54,140,141,144,204,313],[1,3,4,7,22,25,26,50,51,54,141,144,145,203,314],[1,
3,4,5,7,20,22,25,26,50,53,54,140,141,145,208,315],[1,3,4,6,7,21,22,25,26,50,
52,54,139,141,145,207,316],[1,3,4,25,26,51,119,144,188,317],[1,3,4,25,26,50,
118,145,189,318],[1,2,4,5,6,18,19,27,53,56,57,117,131,136,191,319],[1,2,4,5,6,
18,19,28,52,56,57,117,132,135,190,320],[1,3,4,5,6,20,21,25,30,52,56,57,122,
133,138,143,190,321],[1,3,4,5,6,20,21,25,29,53,56,57,122,134,137,142,191,
322],[1,3,4,5,6,7,24,25,30,52,53,54,59,120,143,146,194,323],[1,3,4,5,6,7,23,
25,29,52,53,54,59,121,142,147,194,324],[1,3,4,5,6,20,21,25,26,50,51,52,53,57,
122,139,140,144,145,192,325],[1,3,4,7,22,26,54,58,124,141,193,326],[1,3,4,5,6,
7,20,21,22,26,52,53,54,59,125,139,140,141,194,327],[1,3,4,7,22,25,26,50,54,55,
126,141,145,195,328],[1,3,4,7,22,25,26,51,54,60,127,141,144,196,329],[1,2,4,5,
6,18,27,28,52,56,57,129,131,135,190,330],[1,2,4,5,6,19,27,28,53,56,57,129,132,
136,191,331],[1,3,4,5,6,21,26,29,30,52,56,57,130,134,138,139,190,332],[1,3,4,
5,6,20,26,29,30,53,56,57,130,133,137,140,191,333],[1,3,4,5,6,25,26,29,30,50,
51,52,53,57,130,142,143,144,145,192,334],[1,3,4,7,25,26,50,51,54,119,145,203,
335],[1,3,4,6,7,23,25,26,50,52,54,121,145,207,336],[1,3,4,5,7,24,25,26,50,53,
54,120,145,208,337],[1,3,4,6,23,25,30,52,121,143,197,338],[1,3,4,5,24,25,29,
53,120,142,198,339],[1,3,4,6,7,25,30,51,52,54,119,143,205,340],[1,3,4,5,7,25,
29,51,53,54,119,142,204,341],[1,3,4,6,7,25,30,50,52,54,118,143,207,342],[1,3,
4,5,7,25,29,50,53,54,118,142,208,343],[1,3,4,7,25,26,50,51,54,118,144,203,
344],[1,3,4,6,7,23,25,26,51,52,54,121,144,205,345],[1,3,4,5,7,24,25,26,51,53,
54,120,144,204,346],[1,3,4,7,22,25,26,50,60,127,145,206,347],[1,3,4,5,7,22,25,
29,53,55,126,142,210,348],[1,3,4,6,7,22,25,30,52,55,126,143,209,349],[1,3,4,5,
7,22,25,29,53,60,127,142,212,350],[1,3,4,6,7,22,25,30,52,60,127,143,213,351],[
1,3,4,7,22,25,26,51,55,126,144,211,352],[1,3,4,5,25,29,53,62,142,149,217,
353],[1,3,4,5,25,29,53,61,142,148,216,354],[1,3,4,6,25,30,52,61,143,148,215,
355],[1,3,4,6,25,30,52,62,143,149,214,356],[1,3,4,25,26,51,61,144,148,221,
357],[1,3,4,25,26,51,62,144,149,220,358],[1,3,4,25,26,50,61,145,148,218,359],[
1,3,4,25,26,50,62,145,149,219,360],[1,2,5,11,17,18,63,66,361],[1,2,6,12,17,19,
63,67,362],[1,3,7,15,17,22,64,70,363],[1,2,3,9,10,11,12,14,16,31,32,33,34,40,
42,43,45,46,92,95,99,101,105,110,222,225,228,364],[1,2,3,9,10,11,12,13,16,31,
32,33,35,39,42,43,45,47,93,95,98,102,105,109,222,226,229,365],[1,2,3,8,9,10,
11,12,13,14,15,16,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,92,93,94,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,223,224,
225,226,227,231,232,233,234,366],[1,2,3,8,9,10,11,12,13,14,15,16,32,33,36,37,
38,39,40,43,44,45,46,47,48,98,99,103,105,106,111,112,228,229,231,367],[1,2,3,
8,9,10,11,12,13,14,15,16,31,32,33,36,37,38,39,40,43,44,45,48,49,95,103,105,
106,111,112,114,115,116,222,230,231,235,236,368],[1,2,3,9,10,11,12,14,16,32,
33,34,40,42,43,45,46,47,49,92,98,99,101,105,110,114,225,229,230,369],[1,2,3,9,
10,11,12,13,16,32,33,35,39,42,43,45,46,47,49,93,98,99,102,105,109,114,226,228,
230,370],[1,3,4,10,25,31,51,119,240,371],[1,3,4,10,25,31,50,118,239,372],[1,2,
3,5,6,8,11,14,18,19,20,27,29,37,56,72,75,117,136,137,237,244,246,373],[1,2,3,
5,6,8,12,13,18,19,21,28,30,38,56,71,76,117,135,138,237,245,247,374],[1,2,3,5,
6,9,12,13,18,19,21,28,30,39,56,71,76,117,135,138,238,245,247,375],[1,2,3,5,6,
9,11,14,18,19,20,27,29,40,56,72,75,117,136,137,238,244,246,376],[1,3,5,6,10,
15,20,21,23,24,29,30,44,56,79,80,123,137,138,242,252,253,377],[1,2,3,5,6,10,
16,18,19,23,24,27,28,43,56,77,78,123,135,136,242,248,249,378],[1,2,3,5,6,10,
16,18,19,23,24,27,28,43,56,77,78,123,135,136,241,248,249,379],[1,3,4,10,15,25,
26,44,50,81,118,145,239,254,380],[1,3,4,10,15,25,26,44,51,81,119,144,240,255,
381],[1,3,5,6,10,15,20,21,23,24,29,30,44,56,79,80,123,137,138,241,252,253,
382],[1,2,3,5,6,11,16,18,19,23,24,27,28,33,56,72,77,78,86,117,123,129,136,173,
244,248,263,266,383],[1,2,3,5,6,12,16,18,19,23,24,27,28,32,56,71,77,78,85,117,
123,129,135,172,245,249,263,265,384],[1,2,3,5,6,13,14,15,16,18,19,21,23,24,27,
28,30,36,56,74,76,77,78,79,87,117,123,129,138,175,247,252,263,267,385],[1,2,3,
5,6,13,14,15,16,18,19,20,23,24,27,28,29,36,56,73,75,77,78,80,88,117,123,129,
137,174,246,253,263,268,386],[1,2,3,4,5,6,13,14,15,16,18,19,20,21,23,24,25,26,
27,28,29,30,36,57,73,74,75,76,77,78,79,80,81,87,88,122,128,130,131,132,133,
134,174,175,250,251,256,257,264,269,270,387],[1,2,3,5,6,8,9,16,18,19,23,24,27,
28,48,56,77,78,82,83,89,90,117,123,129,185,186,261,262,263,388],[1,2,3,5,6,10,
16,18,19,23,24,27,28,45,56,77,78,117,123,129,241,242,263,389],[1,2,3,5,6,8,9,
16,18,19,23,24,27,28,48,56,77,78,117,123,129,237,238,263,390],[1,2,3,5,6,7,9,
12,13,20,21,22,28,39,59,67,68,73,85,90,125,160,162,179,271,391],[1,2,3,5,6,7,
9,11,14,20,21,22,27,40,59,66,69,74,86,89,125,159,161,180,272,392],[1,2,3,5,6,
7,11,16,19,23,27,29,33,59,66,69,72,78,86,147,169,173,272,393],[1,2,3,5,6,7,12,
16,18,24,28,30,32,59,67,68,71,77,85,146,170,172,271,394],[1,2,3,5,6,7,8,11,14,
24,27,30,37,59,66,69,83,86,87,146,155,183,272,395],[1,2,3,5,6,7,8,12,13,23,28,
29,38,59,67,68,82,85,88,147,156,184,271,396],[1,3,4,5,6,10,26,29,30,31,57,84,
130,164,165,166,171,397],[1,3,4,10,25,49,51,119,240,398],[1,3,4,10,25,49,50,
118,239,399],[1,3,7,10,22,49,58,124,243,400],[1,2,3,5,6,8,12,13,18,20,27,28,
29,38,56,71,73,82,83,85,88,129,135,137,177,184,261,265,268,401],[1,2,3,5,6,8,
11,14,19,21,27,28,30,37,56,72,74,82,83,86,87,129,136,138,176,183,261,266,267,
402],[1,2,3,5,6,9,11,14,19,21,27,28,30,40,56,72,74,86,87,89,90,129,136,138,
180,181,262,266,267,403],[1,2,3,5,6,9,12,13,18,20,27,28,29,39,56,71,73,85,88,
89,90,129,135,137,179,182,262,265,268,404],[1,2,3,11,13,16,17,33,35,93,405],[
1,2,3,12,14,16,17,32,34,92,406],[1,2,3,8,9,16,17,46,47,48,63,64,65,104,150,
151,152,153,154,274,275,276,407],[1,4,5,6,50,51,52,53,56,57,190,191,192,408],[
1,4,5,6,7,50,51,52,53,54,57,59,192,194,197,202,205,207,409],[1,4,5,6,7,50,51,
52,53,54,57,59,192,194,198,201,204,208,410],[1,4,5,6,7,50,51,52,53,54,55,58,
59,60,193,194,195,196,199,200,201,202,203,204,205,207,208,411],[1,4,5,6,7,50,
51,52,53,54,55,57,189,192,195,203,207,208,412],[1,4,5,6,7,50,51,52,53,54,57,
60,188,192,196,203,204,205,413],[1,4,5,6,7,50,51,52,53,54,55,57,192,195,209,
210,211,414],[1,4,5,6,7,50,51,52,53,54,57,60,192,196,206,212,213,415],[1,4,5,
6,50,51,52,53,57,61,192,215,216,218,221,416],[1,4,5,6,50,51,52,53,57,62,192,
214,217,219,220,417],[1,4,5,6,52,56,57,61,190,197,215,418],[1,4,5,6,53,56,57,
62,191,198,217,419],[1,4,5,6,7,53,54,56,57,62,191,201,217,420],[1,4,5,6,7,52,
54,56,57,61,190,202,215,421],[1,4,7,50,54,55,60,61,62,195,206,218,219,422],[1,
4,7,51,54,55,60,61,62,196,211,220,221,423],[1,4,7,50,60,61,62,189,206,218,219,
424],[1,4,7,51,55,61,62,188,211,220,221,425],[1,4,5,7,53,55,60,61,198,210,212,
216,426],[1,4,6,7,52,55,60,62,197,209,213,214,427],[1,4,5,7,53,54,55,60,61,
201,210,212,216,428],[1,4,6,7,52,54,55,60,62,202,209,213,214,429],[1,2,3,5,10,
11,12,16,29,31,32,33,43,45,66,95,105,166,169,222,430],[1,2,3,6,10,11,12,16,30,
31,32,33,43,45,67,95,105,165,170,222,431],[1,2,3,4,10,11,12,16,26,31,32,33,43,
45,84,95,105,164,171,222,296,432],[1,2,3,5,8,9,11,12,13,14,15,16,18,24,28,32,
34,35,36,37,38,39,41,42,47,48,66,71,77,85,92,94,96,107,109,112,113,155,158,
168,172,224,277,285,289,433],[1,2,3,6,8,9,11,12,13,14,15,16,19,23,27,33,34,35,
36,37,38,40,41,42,46,48,67,72,78,86,93,94,97,108,110,111,113,156,157,167,173,
223,278,284,288,434],[1,2,3,6,8,9,11,12,13,14,15,16,19,21,23,27,30,32,34,35,
36,37,38,39,41,42,47,48,67,74,76,78,79,87,92,94,96,107,109,112,113,156,157,
160,167,170,175,224,280,283,284,287,290,435],[1,2,3,5,8,9,11,12,13,14,15,16,
18,20,24,28,29,33,34,35,36,37,38,40,41,42,46,48,66,73,75,77,80,88,93,94,97,
108,110,111,113,155,158,159,168,169,174,223,279,282,285,286,291,436],[1,2,3,5,
8,9,10,11,12,13,14,16,18,24,28,34,35,37,38,41,42,45,46,47,48,66,77,82,90,96,
97,101,102,103,104,113,155,158,168,186,234,285,292,294,437],[1,2,3,6,8,9,10,
11,12,13,14,16,19,23,27,34,35,37,38,41,42,45,46,47,48,67,78,83,89,96,97,101,
102,103,104,113,156,157,167,185,234,284,293,295,438],[1,2,3,4,10,13,14,15,16,
25,26,31,36,43,44,45,49,81,84,95,106,114,115,116,164,178,236,296,297,439],[1,
2,3,5,8,9,11,12,13,14,15,16,18,20,28,32,35,36,38,39,40,41,42,46,47,48,66,71,
73,82,97,99,100,104,108,109,112,158,159,168,177,233,282,289,294,440],[1,2,3,6,
8,9,11,12,13,14,15,16,19,21,27,33,34,36,37,39,40,41,42,46,47,48,67,72,74,83,
96,98,100,104,107,110,111,157,160,167,176,232,283,288,295,441],[1,2,3,5,9,10,
11,12,13,16,18,28,29,32,33,35,39,42,43,45,47,66,71,88,90,93,98,102,105,109,
158,168,169,182,226,279,289,292,442],[1,2,3,6,9,10,11,12,14,16,19,27,30,32,33,
34,40,42,43,45,46,67,72,87,89,92,99,101,105,110,157,167,170,181,225,280,288,
293,443],[1,2,3,6,9,10,11,12,13,14,15,16,21,27,34,35,36,39,40,41,44,45,46,47,
67,74,86,89,94,100,101,102,106,107,108,160,167,180,227,278,283,293,444],[1,2,
3,5,9,10,11,12,13,14,15,16,20,28,34,35,36,39,40,41,44,45,46,47,66,73,85,90,94,
100,101,102,106,107,108,159,168,179,227,277,282,292,445],[1,2,3,5,8,9,11,12,
13,14,15,16,28,29,33,34,35,36,37,38,40,41,42,46,48,66,82,85,88,93,94,97,108,
110,111,113,168,169,184,223,277,279,294,446],[1,2,3,6,8,9,11,12,13,14,15,16,
27,30,32,34,35,36,37,38,39,41,42,47,48,67,83,86,87,92,94,96,107,109,112,113,
167,170,183,224,278,280,295,447],[1,2,3,4,8,9,10,16,26,31,43,45,48,49,84,95,
103,114,164,187,235,296,448],[1,2,3,7,9,10,11,12,13,14,15,16,22,34,35,36,39,
40,41,44,45,46,47,68,69,70,94,100,101,102,106,107,108,161,162,163,227,281,
449],[1,2,4,5,6,11,18,19,27,53,56,57,72,117,131,136,191,244,319,450],[1,2,4,5,
6,12,18,19,28,52,56,57,71,117,132,135,190,245,320,451],[1,2,3,4,5,6,13,18,19,
20,21,25,28,30,52,56,57,73,76,117,122,132,133,135,138,143,190,247,251,320,321,
452],[1,2,3,4,5,6,14,18,19,20,21,25,27,29,53,56,57,74,75,117,122,131,134,136,
137,142,191,246,250,319,322,453],[1,3,4,15,25,26,50,81,118,145,189,254,318,
454],[1,3,4,15,25,26,51,81,119,144,188,255,317,455],[1,3,4,5,6,7,15,20,21,22,
23,24,25,26,29,30,52,53,54,59,79,80,81,120,121,125,139,140,141,142,143,146,
147,194,258,259,260,323,324,327,456],[1,2,4,5,6,8,18,19,28,52,56,57,82,117,
132,135,190,237,320,457],[1,2,4,5,6,8,18,19,27,53,56,57,83,117,131,136,191,
237,319,458],[1,3,4,10,25,26,50,84,118,145,189,239,318,459],[1,3,4,10,25,26,
51,84,119,144,188,240,317,460],[1,3,4,7,10,22,26,54,58,84,124,141,193,243,326,
461],[1,2,4,5,6,9,18,19,27,53,56,57,89,117,131,136,191,238,319,462],[1,2,4,5,
6,9,18,19,28,52,56,57,90,117,132,135,190,238,320,463],[1,2,4,5,6,11,18,19,27,
28,53,56,57,72,86,117,129,131,132,136,191,244,266,319,331,464],[1,2,4,5,6,12,
18,19,27,28,52,56,57,71,85,117,129,131,132,135,190,245,265,320,330,465],[1,2,
3,4,5,6,14,18,19,20,26,27,29,30,53,56,57,75,87,117,130,131,133,136,137,140,
191,246,269,319,333,466],[1,2,3,4,5,6,13,18,19,21,26,28,29,30,52,56,57,76,88,
117,130,132,134,135,138,139,190,247,270,320,332,467],[1,2,3,4,5,6,14,18,20,21,
25,26,27,28,29,30,52,56,57,74,75,87,122,129,130,131,133,134,135,138,139,143,
190,250,267,269,321,330,332,468],[1,2,3,4,5,6,13,19,20,21,25,26,27,28,29,30,
53,56,57,73,76,88,122,129,130,132,133,134,136,137,140,142,191,251,268,270,322,
331,333,469],[1,2,3,4,5,6,16,18,19,23,24,25,27,28,53,56,57,77,78,117,120,123,
128,129,131,132,136,191,248,256,263,304,319,331,470],[1,2,3,4,5,6,16,18,19,23,
24,25,27,28,52,56,57,77,78,117,121,123,128,129,131,132,135,190,249,256,263,
303,320,330,471],[1,3,4,5,6,15,20,21,23,24,25,26,29,30,53,56,57,79,80,81,120,
122,123,128,130,133,134,137,140,142,191,253,257,258,264,304,322,333,472],[1,3,
4,5,6,15,20,21,23,24,25,26,29,30,52,56,57,79,80,81,121,122,123,128,130,133,
134,138,139,143,190,252,257,259,264,303,321,332,473],[1,3,4,5,6,15,20,21,23,
24,25,26,29,30,50,51,52,53,57,79,80,81,118,119,120,121,122,128,130,139,140,
142,143,144,145,192,254,255,258,259,264,305,325,334,474],[1,3,4,6,10,21,26,52,
84,139,197,307,475],[1,3,4,5,10,20,26,53,84,140,198,306,476],[1,3,4,7,10,22,
26,54,84,141,200,309,477],[1,3,4,7,10,22,26,54,84,141,199,308,478],[1,3,4,5,
15,20,24,25,26,29,53,80,81,120,140,142,198,258,306,339,479],[1,3,4,6,15,21,23,
25,26,30,52,79,81,121,139,143,197,259,307,338,480],[1,3,4,5,7,15,20,22,24,25,
26,29,50,53,54,80,81,118,120,140,141,142,145,208,254,258,315,337,343,481],[1,
3,4,6,7,15,21,22,23,25,26,30,50,52,54,79,81,118,121,139,141,143,145,207,254,
259,316,336,342,482],[1,3,4,5,7,15,20,22,24,25,26,29,51,53,54,80,81,119,120,
140,141,142,144,204,255,258,313,341,346,483],[1,3,4,6,7,15,21,22,23,25,26,30,
51,52,54,79,81,119,121,139,141,143,144,205,255,259,312,340,345,484],[1,3,4,7,
15,22,25,26,50,51,54,81,118,119,141,144,145,203,254,255,314,335,344,485],[1,2,
3,5,11,13,16,17,18,24,28,35,63,64,65,66,77,151,168,361,486],[1,2,3,6,12,14,16,
17,19,23,27,34,63,64,65,67,78,151,167,362,487],[1,2,3,6,9,12,13,17,19,21,30,
39,63,67,76,154,160,362,488],[1,2,3,5,9,11,14,17,18,20,29,40,63,66,75,153,159,
361,489],[1,2,5,9,11,12,17,18,28,42,63,66,71,154,158,361,490],[1,2,6,9,11,12,
17,19,27,42,63,67,72,153,157,362,491],[1,2,3,8,9,10,11,12,13,14,15,16,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,364,365,366,367,368,369,
370,492],[1,2,3,5,6,7,11,12,13,14,15,16,27,28,34,35,36,59,66,67,68,69,70,85,
86,94,167,168,271,272,277,278,281,493],[1,2,3,5,6,8,9,12,13,14,15,16,18,19,20,
23,24,27,28,29,32,36,38,39,48,56,71,73,75,77,78,80,82,83,85,88,89,90,112,117,
123,129,135,137,172,174,177,179,182,184,185,186,245,246,249,253,261,262,263,
265,268,301,384,386,388,401,404,494],[1,2,3,5,6,8,9,11,13,14,15,16,18,19,21,
23,24,27,28,30,33,36,37,40,48,56,72,74,76,77,78,79,82,83,86,87,89,90,111,117,
123,129,136,138,173,175,176,180,181,183,185,186,244,247,248,252,261,262,263,
266,267,300,383,385,388,402,403,495],[1,2,3,5,6,10,13,14,15,16,18,19,20,21,23,
24,27,28,29,30,36,44,45,56,73,74,75,76,77,78,79,80,87,88,106,117,123,129,137,
138,174,175,241,242,246,247,252,253,263,267,268,377,382,385,386,389,496],[1,2,
3,5,6,8,9,11,13,14,15,16,18,19,20,23,24,27,28,29,33,36,37,40,48,56,72,73,75,
77,78,80,86,88,111,117,123,129,136,137,173,174,237,238,244,246,248,253,263,
266,268,373,376,383,386,390,497],[1,2,3,5,6,8,9,12,13,14,15,16,18,19,21,23,24,
27,28,30,32,36,38,39,48,56,71,74,76,77,78,79,85,87,112,117,123,129,135,138,
172,175,237,238,245,247,249,252,263,265,267,374,375,384,385,390,498],[1,2,3,5,
6,10,11,12,16,18,19,23,24,27,28,32,33,43,45,56,71,72,77,78,85,86,105,117,123,
129,135,136,172,173,241,242,244,245,248,249,263,265,266,378,379,383,384,389,
499],[1,2,3,5,6,8,9,10,16,18,19,23,24,27,28,45,48,56,77,78,82,83,89,90,103,
117,123,129,185,186,237,238,241,242,261,262,263,388,389,390,500],[1,3,4,5,6,
10,15,20,21,23,24,25,26,29,30,31,44,49,57,79,80,81,84,115,122,128,130,164,165,
166,171,178,187,264,297,298,299,302,397,501],[1,3,4,10,15,25,26,31,44,49,51,
81,115,119,144,240,255,371,381,398,502],[1,3,4,10,15,25,26,31,44,49,50,81,115,
118,145,239,254,372,380,399,503],[1,2,3,5,6,7,8,9,11,13,14,15,16,19,20,21,22,
23,24,27,29,30,33,36,37,40,48,59,66,69,72,74,76,78,79,80,83,86,87,89,111,125,
146,147,155,159,161,169,173,175,176,180,181,183,185,260,272,291,300,392,393,
395,504],[1,2,3,5,6,7,8,9,12,13,14,15,16,18,20,21,22,23,24,28,29,30,32,36,38,
39,48,59,67,68,71,73,75,77,79,80,82,85,88,90,112,125,146,147,156,160,162,170,
172,174,177,179,182,184,186,260,271,290,301,391,394,396,505],[1,2,3,9,10,11,
12,14,16,17,32,33,34,40,42,43,45,46,63,92,99,101,105,110,225,406,506],[1,2,3,
9,10,11,12,13,16,17,32,33,35,39,42,43,45,47,63,93,98,102,105,109,226,405,
507],[1,3,4,5,6,23,24,25,50,51,52,53,56,57,118,119,120,121,123,128,190,191,
192,303,304,305,408,508],[1,2,4,5,6,18,19,27,28,50,51,52,53,56,57,117,129,131,
132,135,136,190,191,192,319,320,330,331,408,509],[1,3,4,5,6,20,21,25,26,29,30,
50,51,52,53,56,57,122,130,133,134,137,138,139,140,142,143,144,145,190,191,192,
321,322,325,332,333,334,408,510],[1,3,4,5,6,7,20,21,22,25,26,50,51,52,53,54,
57,60,119,122,127,139,140,141,144,145,188,192,196,203,204,205,312,313,314,317,
325,329,413,511],[1,3,4,5,6,7,20,21,22,25,26,50,51,52,53,54,55,57,118,122,126,
139,140,141,144,145,189,192,195,203,207,208,314,315,316,318,325,328,412,512],[
1,3,4,5,6,7,20,21,22,25,26,50,51,52,53,54,57,59,122,125,139,140,141,144,145,
192,194,197,202,205,207,307,311,312,316,325,327,409,513],[1,3,4,5,6,7,20,21,
22,25,26,50,51,52,53,54,57,59,122,125,139,140,141,144,145,192,194,198,201,204,
208,306,310,313,315,325,327,410,514],[1,3,4,5,6,7,20,21,22,25,26,50,51,52,53,
54,55,58,59,60,124,125,126,127,139,140,141,144,145,193,194,195,196,199,200,
201,202,203,204,205,207,208,308,309,310,311,312,313,314,315,316,326,327,328,
329,411,515],[1,3,4,5,6,20,21,23,25,30,52,56,57,61,121,122,133,138,143,148,
190,197,215,321,338,355,418,516],[1,3,4,5,6,20,21,24,25,29,53,56,57,62,120,
122,134,137,142,149,191,198,217,322,339,353,419,517],[1,3,4,7,22,25,26,51,55,
61,62,119,126,144,148,149,188,211,220,221,317,352,357,358,425,518],[1,3,4,7,
22,25,26,50,60,61,62,118,127,145,148,149,189,206,218,219,318,347,359,360,424,
519],[1,3,4,5,6,7,23,24,25,26,50,51,52,53,54,55,57,118,119,120,121,128,145,
189,192,195,203,207,208,305,318,335,336,337,412,520],[1,3,4,5,6,7,23,24,25,30,
50,51,52,53,54,57,59,118,119,120,121,128,143,146,192,194,197,202,205,207,305,
323,338,340,342,409,521],[1,3,4,5,6,7,23,24,25,29,50,51,52,53,54,57,59,118,
119,120,121,128,142,147,192,194,198,201,204,208,305,324,339,341,343,410,522],[
1,3,4,5,6,7,23,24,25,26,50,51,52,53,54,57,60,118,119,120,121,128,144,188,192,
196,203,204,205,305,317,344,345,346,413,523],[1,3,4,6,7,22,23,25,30,52,55,60,
62,121,126,127,143,149,197,209,213,214,338,349,351,356,427,524],[1,3,4,5,7,22,
24,25,29,53,55,60,61,120,126,127,142,148,198,210,212,216,339,348,350,354,426,
525],[1,3,4,5,6,7,23,25,26,29,30,50,51,52,53,54,57,59,121,130,142,143,144,145,
147,192,194,197,202,205,207,324,334,336,338,345,409,526],[1,3,4,5,6,7,24,25,
26,29,30,50,51,52,53,54,57,59,120,130,142,143,144,145,146,192,194,198,201,204,
208,323,334,337,339,346,410,527],[1,3,4,5,6,7,25,26,29,30,50,51,52,53,54,55,
57,118,130,142,143,144,145,189,192,195,203,207,208,318,334,342,343,344,412,
528],[1,3,4,5,6,7,25,26,29,30,50,51,52,53,54,57,60,119,130,142,143,144,145,
188,192,196,203,204,205,317,334,335,340,341,413,529],[1,3,4,5,6,7,22,25,26,29,
30,50,51,52,53,54,57,60,127,130,141,142,143,144,145,192,196,206,212,213,329,
334,347,350,351,415,530],[1,3,4,5,6,7,22,25,26,29,30,50,51,52,53,54,55,57,126,
130,141,142,143,144,145,192,195,209,210,211,328,334,348,349,352,414,531],[1,3,
4,5,6,23,24,25,29,53,56,57,62,120,123,128,142,191,198,217,304,339,419,532],[1,
3,4,5,6,23,24,25,30,52,56,57,61,121,123,128,143,190,197,215,303,338,418,533],[
1,3,4,5,6,21,26,29,30,52,56,57,61,130,134,138,139,190,197,215,307,332,418,
534],[1,3,4,5,6,20,26,29,30,53,56,57,62,130,133,137,140,191,198,217,306,333,
419,535],[1,3,4,5,6,7,21,22,26,29,30,52,54,56,57,61,130,134,138,139,141,190,
202,215,311,332,421,536],[1,3,4,5,6,7,20,22,26,29,30,53,54,56,57,62,130,133,
137,140,141,191,201,217,310,333,420,537],[1,3,4,5,6,25,26,29,30,50,51,52,53,
57,61,130,142,143,144,145,148,192,215,216,218,221,334,354,355,357,359,416,
538],[1,3,4,5,6,25,26,29,30,50,51,52,53,57,62,130,142,143,144,145,149,192,214,
217,219,220,334,353,356,358,360,417,539],[1,2,3,6,9,10,11,12,13,16,19,21,30,
31,32,33,35,39,42,43,45,47,67,76,93,95,98,102,105,109,157,160,165,170,222,226,
229,287,365,431,540],[1,2,3,5,9,10,11,12,14,16,18,20,29,31,32,33,34,40,42,43,
45,46,66,75,92,95,99,101,105,110,158,159,166,169,222,225,228,286,364,430,
541],[1,2,3,5,9,10,11,12,13,16,28,29,31,32,33,35,39,42,43,45,47,66,88,93,95,
98,102,105,109,166,168,169,222,226,229,279,365,430,542],[1,2,3,6,9,10,11,12,
14,16,27,30,31,32,33,34,40,42,43,45,46,67,87,92,95,99,101,105,110,165,167,170,
222,225,228,280,364,431,543],[1,2,3,5,8,9,10,11,12,13,14,15,16,20,24,29,31,32,
33,36,37,38,39,40,43,44,45,48,49,66,80,95,103,105,106,111,112,114,115,116,155,
159,166,169,222,230,231,235,236,291,299,368,430,544],[1,2,3,6,8,9,10,11,12,13,
14,15,16,21,23,30,31,32,33,36,37,38,39,40,43,44,45,48,49,67,79,95,103,105,106,
111,112,114,115,116,156,160,165,170,222,230,231,235,236,290,298,368,431,545],[
1,2,3,5,8,9,10,11,12,13,14,15,16,18,20,24,28,29,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,66,71,73,75,77,80,82,85,88,90,92,93,94,96,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,155,158,159,168,169,172,
174,177,179,182,184,186,223,224,225,226,227,231,232,233,234,277,279,282,285,
286,289,291,292,294,301,366,433,436,437,440,442,445,446,546],[1,2,3,6,8,9,10,
11,12,13,14,15,16,19,21,23,27,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,67,72,74,76,78,79,83,86,87,89,92,93,94,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,156,157,160,167,170,173,175,176,180,181,
183,185,223,224,225,226,227,231,232,233,234,278,280,283,284,287,288,290,293,
295,300,366,434,435,438,441,443,444,447,547],[1,2,3,4,8,9,10,11,12,13,14,15,
16,25,26,31,32,33,36,37,38,39,40,43,44,45,48,49,81,84,95,103,105,106,111,112,
114,115,116,164,171,178,187,222,230,231,235,236,296,297,302,368,432,439,448,
548],[1,3,4,10,25,26,31,51,84,119,144,171,188,240,317,371,460,549],[1,3,4,10,
25,26,31,50,84,118,145,171,189,239,318,372,459,550],[1,2,3,4,5,6,8,12,13,18,
19,20,21,25,28,30,38,52,56,57,71,73,76,82,117,122,132,133,135,138,143,177,190,
237,245,247,251,320,321,374,451,452,457,551],[1,2,3,4,5,6,8,11,14,18,19,20,21,
25,27,29,37,53,56,57,72,74,75,83,117,122,131,134,136,137,142,176,191,237,244,
246,250,319,322,373,450,453,458,552],[1,3,4,10,15,25,26,44,51,81,84,119,144,
178,188,240,255,317,381,455,460,553],[1,3,4,10,15,25,26,44,50,81,84,118,145,
178,189,239,254,318,380,454,459,554],[1,3,4,5,7,10,25,29,31,51,53,54,119,142,
166,204,240,341,371,555],[1,3,4,6,7,10,25,30,31,51,52,54,119,143,165,205,240,
340,371,556],[1,3,4,7,10,25,26,31,50,51,54,118,144,164,203,239,344,372,557],[
1,3,4,5,7,10,25,29,31,50,53,54,118,142,166,208,239,343,372,558],[1,3,4,6,7,10,
25,30,31,50,52,54,118,143,165,207,239,342,372,559],[1,3,4,7,10,25,26,31,50,51,
54,119,145,164,203,240,335,371,560],[1,3,4,6,10,21,26,31,52,84,139,171,197,
307,475,561],[1,3,4,5,10,20,26,31,53,84,140,171,198,306,476,562],[1,2,3,4,5,6,
12,16,18,19,23,24,25,27,28,32,52,56,57,71,77,78,85,117,121,123,128,129,131,
132,135,172,190,245,249,256,263,265,303,320,330,384,451,465,471,563],[1,2,3,4,
5,6,11,16,18,19,23,24,25,27,28,33,53,56,57,72,77,78,86,117,120,123,128,129,
131,132,136,173,191,244,248,256,263,266,304,319,331,383,450,464,470,564],[1,2,
3,4,5,6,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,36,52,56,57,73,74,75,
76,77,78,79,80,81,87,88,117,121,122,123,128,129,130,131,132,133,134,135,138,
139,143,174,175,190,247,249,250,251,252,256,257,259,263,264,267,269,270,303,
320,321,330,332,385,387,452,467,468,471,473,565],[1,2,3,4,5,6,13,14,15,16,18,
19,20,21,23,24,25,26,27,28,29,30,36,53,56,57,73,74,75,76,77,78,79,80,81,87,88,
117,120,122,123,128,129,130,131,132,133,134,136,137,140,142,174,175,191,246,
248,250,251,253,256,257,258,263,264,268,269,270,304,319,322,331,333,386,387,
453,466,469,470,472,566],[1,3,4,5,10,20,26,49,53,84,140,187,198,306,476,567],[
1,3,4,6,10,21,26,49,52,84,139,187,197,307,475,568],[1,3,4,7,10,22,26,49,54,84,
141,187,200,309,477,569],[1,3,4,7,10,22,26,49,54,84,141,187,199,308,478,570],[
1,3,4,6,10,15,21,23,25,26,30,44,52,79,81,84,121,139,143,178,197,259,307,338,
475,480,571],[1,3,4,5,10,15,20,24,25,26,29,44,53,80,81,84,120,140,142,178,198,
258,306,339,476,479,572],[1,2,3,4,5,6,8,9,16,18,19,23,24,25,27,28,48,53,56,57,
77,78,83,89,117,120,123,128,129,131,132,136,185,191,237,238,248,256,263,304,
319,331,390,458,462,470,573],[1,2,3,4,5,6,8,9,16,18,19,23,24,25,27,28,48,52,
56,57,77,78,82,90,117,121,123,128,129,131,132,135,186,190,237,238,249,256,263,
303,320,330,390,457,463,471,574],[1,3,4,10,25,26,49,50,84,118,145,187,189,239,
318,399,459,575],[1,3,4,10,25,26,49,51,84,119,144,187,188,240,317,398,460,
576],[1,3,4,7,10,22,26,49,54,58,84,124,141,187,193,243,326,400,461,577],[1,2,
3,4,5,6,9,12,13,18,19,20,21,25,27,28,30,39,52,56,57,71,73,76,85,90,117,122,
129,131,132,133,135,138,143,179,190,238,245,247,251,265,320,321,330,375,452,
463,465,578],[1,2,3,4,5,6,9,11,14,18,19,20,21,25,27,28,29,40,53,56,57,72,74,
75,86,89,117,122,129,131,132,134,136,137,142,180,191,238,244,246,250,266,319,
322,331,376,453,462,464,579],[1,2,3,4,5,6,9,12,13,18,19,21,26,28,29,30,39,52,
56,57,71,76,88,90,117,130,132,134,135,138,139,182,190,238,245,247,270,320,332,
375,451,463,467,580],[1,2,3,4,5,6,9,11,14,18,19,20,26,27,29,30,40,53,56,57,72,
75,87,89,117,130,131,133,136,137,140,181,191,238,244,246,269,319,333,376,450,
462,466,581],[1,2,3,4,5,6,8,11,14,18,19,20,26,27,28,29,30,37,53,56,57,72,75,
83,86,87,117,129,130,131,132,133,136,137,140,183,191,237,244,246,266,269,319,
331,333,373,458,464,466,582],[1,2,3,4,5,6,8,12,13,18,19,21,26,27,28,29,30,38,
52,56,57,71,76,82,85,88,117,129,130,131,132,134,135,138,139,184,190,237,245,
247,265,270,320,330,332,374,457,465,467,583],[1,2,3,5,9,11,13,14,15,16,17,18,
20,24,28,29,35,36,40,41,46,63,64,65,66,73,75,77,80,88,108,151,153,159,168,174,
276,282,361,486,489,584],[1,2,3,6,9,12,13,14,15,16,17,19,21,23,27,30,34,36,39,
41,47,63,64,65,67,74,76,78,79,87,107,151,154,160,167,175,275,283,362,487,488,
585],[1,2,3,5,9,11,12,13,16,17,18,24,28,32,35,39,42,47,63,64,65,66,71,77,85,
109,151,154,158,168,172,275,289,361,486,490,586],[1,2,3,6,9,11,12,14,16,17,19,
23,27,33,34,40,42,46,63,64,65,67,72,78,86,110,151,153,157,167,173,276,288,362,
487,491,587],[1,2,3,5,8,9,11,13,16,17,18,24,28,35,46,48,63,64,65,66,77,82,90,
97,150,151,152,168,186,274,294,361,486,588],[1,2,3,6,8,9,12,14,16,17,19,23,27,
34,47,48,63,64,65,67,78,83,89,96,150,151,152,167,185,274,295,362,487,589],[1,
4,5,6,7,50,51,52,53,54,55,57,58,59,60,188,189,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,207,208,409,410,411,412,413,590],[1,4,5,6,7,50,51,52,
53,54,56,57,60,188,190,191,192,196,203,204,205,206,212,213,408,413,415,591],[
1,4,5,6,7,50,51,52,53,54,55,56,57,189,190,191,192,195,203,207,208,209,210,211,
408,412,414,592],[1,4,5,6,7,50,51,52,53,54,56,57,59,62,190,191,192,194,198,
201,204,208,214,217,219,220,408,410,417,419,420,593],[1,4,5,6,7,50,51,52,53,
54,56,57,59,61,190,191,192,194,197,202,205,207,215,216,218,221,408,409,416,
418,421,594],[1,4,5,6,7,50,51,52,53,54,55,57,60,61,62,189,192,195,196,203,206,
207,208,212,213,214,215,216,217,218,219,220,221,412,415,416,417,422,424,595],[
1,4,5,6,7,50,51,52,53,54,55,57,60,61,62,188,192,195,196,203,204,205,209,210,
211,214,215,216,217,218,219,220,221,413,414,416,417,423,425,596],[1,4,5,6,7,
50,51,52,53,54,55,57,59,60,61,192,194,195,196,198,201,204,206,208,209,210,211,
212,213,215,216,218,221,410,414,415,416,426,428,597],[1,4,5,6,7,50,51,52,53,
54,55,57,59,60,62,192,194,195,196,197,202,205,206,207,209,210,211,212,213,214,
217,219,220,409,414,415,417,427,429,598],[1,2,3,4,5,6,10,11,12,16,26,29,30,31,
32,33,43,45,57,66,67,84,95,105,130,164,165,166,169,170,171,222,296,397,430,
431,432,599],[1,2,3,5,6,7,9,10,11,12,13,14,15,16,20,21,22,27,28,34,35,36,39,
40,41,44,45,46,47,59,66,67,68,69,70,73,74,85,86,89,90,94,100,101,102,106,107,
108,125,159,160,161,162,163,167,168,179,180,227,271,272,277,278,281,282,283,
292,293,391,392,444,445,449,493,600],[1,2,3,5,6,7,8,9,11,12,13,14,15,16,18,24,
27,28,30,32,34,35,36,37,38,39,41,42,47,48,59,66,67,68,69,70,71,77,83,85,86,87,
92,94,96,107,109,112,113,146,155,158,167,168,170,172,183,224,271,272,277,278,
280,281,285,289,295,394,395,433,447,493,601],[1,2,3,5,6,7,8,9,11,12,13,14,15,
16,19,23,27,28,29,33,34,35,36,37,38,40,41,42,46,48,59,66,67,68,69,70,72,78,82,
85,86,88,93,94,97,108,110,111,113,147,156,157,167,168,169,173,184,223,271,272,
277,278,279,281,284,288,294,393,396,434,446,493,602],[1,2,3,5,6,8,9,10,11,12,
13,14,15,16,18,19,20,21,23,24,27,28,29,30,32,33,36,37,38,39,40,43,44,45,48,56,
71,72,73,74,75,76,77,78,79,80,82,83,85,86,87,88,89,90,103,105,106,111,112,117,
123,129,135,136,137,138,172,173,174,175,176,177,179,180,181,182,183,184,185,
186,231,237,238,241,242,244,245,246,247,248,249,252,253,261,262,263,265,266,
267,268,300,301,373,374,375,376,377,378,379,382,383,384,385,386,388,389,390,
401,402,403,404,494,495,496,497,498,499,500,603],[1,2,3,9,10,11,12,13,16,17,
32,33,35,39,42,43,45,46,47,49,63,93,98,99,102,105,109,114,154,226,228,230,370,
405,507,604],[1,2,3,9,10,11,12,14,16,17,32,33,34,40,42,43,45,46,47,49,63,92,
98,99,101,105,110,114,153,225,229,230,369,406,506,605],[1,3,4,5,6,10,23,24,25,
50,51,52,53,56,57,118,119,120,121,123,128,190,191,192,240,242,303,304,305,408,
508,606],[1,3,4,5,6,10,23,24,25,50,51,52,53,56,57,118,119,120,121,123,128,190,
191,192,239,241,303,304,305,408,508,607],[1,2,3,4,5,6,16,18,19,23,24,25,27,28,
50,51,52,53,56,57,77,78,117,118,119,120,121,123,128,129,131,132,135,136,190,
191,192,248,249,256,263,303,304,305,319,320,330,331,408,470,471,508,509,608],[
1,3,4,5,6,15,20,21,23,24,25,26,29,30,50,51,52,53,56,57,79,80,81,118,119,120,
121,122,123,128,130,133,134,137,138,139,140,142,143,144,145,190,191,192,252,
253,254,255,257,258,259,264,303,304,305,321,322,325,332,333,334,408,472,473,
474,508,510,609],[1,2,4,5,6,11,18,19,27,28,50,51,52,53,56,57,72,86,117,129,
131,132,135,136,190,191,192,244,266,319,320,330,331,408,450,464,509,610],[1,2,
4,5,6,12,18,19,27,28,50,51,52,53,56,57,71,85,117,129,131,132,135,136,190,191,
192,245,265,319,320,330,331,408,451,465,509,611],[1,2,3,4,5,6,13,18,19,20,21,
25,26,27,28,29,30,50,51,52,53,56,57,73,76,88,117,122,129,130,131,132,133,134,
135,136,137,138,139,140,142,143,144,145,190,191,192,247,251,268,270,319,320,
321,322,325,330,331,332,333,334,408,452,467,469,509,510,612],[1,2,3,4,5,6,14,
18,19,20,21,25,26,27,28,29,30,50,51,52,53,56,57,74,75,87,117,122,129,130,131,
132,133,134,135,136,137,138,139,140,142,143,144,145,190,191,192,246,250,267,
269,319,320,321,322,325,330,331,332,333,334,408,453,466,468,509,510,613],[1,2,
4,5,6,12,18,19,28,52,56,57,61,67,71,117,132,135,190,197,215,245,320,418,451,
614],[1,2,4,5,6,11,18,19,27,53,56,57,62,66,72,117,131,136,191,198,217,244,319,
419,450,615],[1,2,4,5,6,7,12,18,19,28,52,54,56,57,61,68,71,117,132,135,190,
202,215,245,320,421,451,616],[1,2,4,5,6,7,11,18,19,27,53,54,56,57,62,69,72,
117,131,136,191,201,217,244,319,420,450,617],[1,3,4,7,15,25,26,51,55,61,62,70,
81,119,144,188,211,220,221,255,317,425,455,618],[1,3,4,7,15,25,26,50,60,61,62,
70,81,118,145,189,206,218,219,254,318,424,454,619],[1,2,4,5,6,9,18,19,27,28,
50,51,52,53,56,57,89,90,117,129,131,132,135,136,190,191,192,238,262,319,320,
330,331,408,462,463,509,620],[1,2,4,5,6,8,18,19,27,28,50,51,52,53,56,57,82,83,
117,129,131,132,135,136,190,191,192,237,261,319,320,330,331,408,457,458,509,
621],[1,3,4,5,6,7,15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,57,60,79,80,81,
118,119,120,121,122,127,128,130,139,140,141,142,143,144,145,188,192,196,203,
204,205,254,255,258,259,264,305,312,313,314,317,325,329,334,335,340,341,344,
345,346,413,455,474,483,484,485,511,523,529,622],[1,3,4,5,6,7,15,20,21,22,23,
24,25,26,29,30,50,51,52,53,54,55,57,79,80,81,118,119,120,121,122,126,128,130,
139,140,141,142,143,144,145,189,192,195,203,207,208,254,255,258,259,264,305,
314,315,316,318,325,328,334,335,336,337,342,343,344,412,454,474,481,482,485,
512,520,528,623],[1,3,4,5,6,7,15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,57,
59,79,80,81,118,119,120,121,122,125,128,130,139,140,141,142,143,144,145,146,
147,192,194,198,201,204,208,254,255,258,259,260,264,305,306,310,313,315,323,
324,325,327,334,337,339,341,343,346,410,456,474,479,481,483,514,522,527,624],[
1,3,4,5,6,7,15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,57,59,79,80,81,118,
119,120,121,122,125,128,130,139,140,141,142,143,144,145,146,147,192,194,197,
202,205,207,254,255,258,259,260,264,305,307,311,312,316,323,324,325,327,334,
336,338,340,342,345,409,456,474,480,482,484,513,521,526,625],[1,3,4,5,6,15,20,
21,23,24,25,26,29,30,52,56,57,61,79,80,81,121,122,123,128,130,133,134,138,139,
143,148,190,197,215,252,257,259,264,303,307,321,332,338,355,418,473,480,516,
533,534,626],[1,3,4,5,6,15,20,21,23,24,25,26,29,30,53,56,57,62,79,80,81,120,
122,123,128,130,133,134,137,140,142,149,191,198,217,253,257,258,264,304,306,
322,333,339,353,419,472,479,517,532,535,627],[1,4,50,91,189,628],[1,4,51,91,
188,629],[1,2,5,6,9,11,12,17,18,19,42,56,63,66,67,117,157,158,238,361,362,
630],[1,3,7,10,15,17,22,44,58,64,70,124,163,243,363,631],[1,2,3,6,8,9,10,11,
12,13,14,15,16,19,21,23,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,67,74,76,78,79,87,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,156,157,160,165,167,170,175,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,280,283,284,287,290,
298,364,365,366,367,368,369,370,431,435,492,540,543,545,632],[1,2,3,5,8,9,10,
11,12,13,14,15,16,18,20,24,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,66,73,75,77,80,88,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,155,158,159,166,168,169,174,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,279,282,285,286,291,
299,364,365,366,367,368,369,370,430,436,492,541,542,544,633],[1,3,4,7,10,15,
22,25,26,31,44,49,50,51,54,81,115,118,119,141,144,145,164,203,240,254,255,297,
314,335,344,371,381,398,485,502,560,634],[1,3,4,5,7,10,15,20,22,24,25,26,29,
31,44,49,51,53,54,80,81,115,119,120,140,141,142,144,166,204,240,255,258,299,
313,341,346,371,381,398,483,502,555,635],[1,3,4,6,7,10,15,21,22,23,25,26,30,
31,44,49,51,52,54,79,81,115,119,121,139,141,143,144,165,205,240,255,259,298,
312,340,345,371,381,398,484,502,556,636],[1,3,4,5,7,10,15,20,22,24,25,26,29,
31,44,49,50,53,54,80,81,115,118,120,140,141,142,145,166,208,239,254,258,299,
315,337,343,372,380,399,481,503,558,637],[1,3,4,6,7,10,15,21,22,23,25,26,30,
31,44,49,50,52,54,79,81,115,118,121,139,141,143,145,165,207,239,254,259,298,
316,336,342,372,380,399,482,503,559,638],[1,3,4,7,10,15,22,25,26,31,44,49,50,
51,54,81,115,118,119,141,144,145,164,203,239,254,255,297,314,335,344,372,380,
399,485,503,557,639],[1,3,4,10,15,25,26,31,44,49,51,81,84,115,119,144,171,178,
187,188,240,255,302,317,371,381,398,455,460,502,549,553,576,640],[1,3,4,10,15,
25,26,31,44,49,50,81,84,115,118,145,171,178,187,189,239,254,302,318,372,380,
399,454,459,503,550,554,575,641],[1,3,4,6,10,15,21,23,25,26,30,31,44,49,52,79,
81,84,115,121,139,143,171,178,187,197,259,302,307,338,475,480,561,568,571,
642],[1,3,4,5,10,15,20,24,25,26,29,31,44,49,53,80,81,84,115,120,140,142,171,
178,187,198,258,302,306,339,476,479,562,567,572,643],[1,2,3,4,5,6,8,9,11,13,
14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,33,36,37,40,48,53,56,57,72,73,74,
75,76,77,78,79,80,81,83,86,87,88,89,111,117,120,122,123,128,129,130,131,132,
133,134,136,137,140,142,173,174,175,176,180,181,183,185,191,237,238,244,246,
248,250,251,253,256,257,258,263,264,266,268,269,270,300,304,319,322,331,333,
373,376,383,386,387,390,450,453,458,462,464,466,469,470,472,497,552,564,566,
573,579,581,582,644],[1,2,3,4,5,6,8,9,12,13,14,15,16,18,19,20,21,23,24,25,26,
27,28,29,30,32,36,38,39,48,52,56,57,71,73,74,75,76,77,78,79,80,81,82,85,87,88,
90,112,117,121,122,123,128,129,130,131,132,133,134,135,138,139,143,172,174,
175,177,179,182,184,186,190,237,238,245,247,249,250,251,252,256,257,259,263,
264,265,267,269,270,301,303,320,321,330,332,374,375,384,385,387,390,451,452,
457,463,465,467,468,471,473,498,551,563,565,574,578,580,583,645],[1,2,3,5,8,9,
11,12,13,14,15,16,17,18,20,24,28,29,32,35,36,38,39,40,41,42,46,47,48,63,64,65,
66,71,73,75,77,80,82,85,88,90,97,99,100,104,108,109,112,150,151,152,153,154,
158,159,168,172,174,177,179,182,184,186,233,274,275,276,282,289,294,301,361,
407,440,486,489,490,584,586,588,646],[1,2,3,6,8,9,11,12,13,14,15,16,17,19,21,
23,27,30,33,34,36,37,39,40,41,42,46,47,48,63,64,65,67,72,74,76,78,79,83,86,87,
89,96,98,100,104,107,110,111,150,151,152,153,154,157,160,167,173,175,176,180,
181,183,185,232,274,275,276,283,288,295,300,362,407,441,487,488,491,585,587,
589,647],[1,3,4,5,6,7,23,24,25,26,50,51,52,53,54,56,57,60,118,119,120,121,123,
128,144,188,190,191,192,196,203,204,205,206,212,213,303,304,305,317,344,345,
346,408,413,415,508,523,591,648],[1,3,4,5,6,7,23,24,25,26,50,51,52,53,54,55,
56,57,118,119,120,121,123,128,145,189,190,191,192,195,203,207,208,209,210,211,
303,304,305,318,335,336,337,408,412,414,508,520,592,649],[1,3,4,5,6,7,20,21,
22,25,26,50,51,52,53,54,55,57,58,59,60,118,119,122,124,125,126,127,139,140,
141,144,145,188,189,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
207,208,306,307,308,309,310,311,312,313,314,315,316,317,318,325,326,327,328,
329,409,410,411,412,413,511,512,513,514,515,590,650],[1,3,4,5,6,7,23,24,25,29,
50,51,52,53,54,56,57,59,62,118,119,120,121,123,128,142,147,190,191,192,194,
198,201,204,208,214,217,219,220,303,304,305,324,339,341,343,408,410,417,419,
420,508,522,532,593,651],[1,3,4,5,6,7,23,24,25,30,50,51,52,53,54,56,57,59,61,
118,119,120,121,123,128,143,146,190,191,192,194,197,202,205,207,215,216,218,
221,303,304,305,323,338,340,342,408,409,416,418,421,508,521,533,594,652],[1,3,
4,5,6,7,20,21,22,25,26,29,30,50,51,52,53,54,56,57,60,119,122,127,130,133,134,
137,138,139,140,141,142,143,144,145,188,190,191,192,196,203,204,205,206,212,
213,312,313,314,317,321,322,325,329,332,333,334,335,340,341,347,350,351,408,
413,415,510,511,529,530,591,653],[1,3,4,5,6,7,20,21,22,25,26,29,30,50,51,52,
53,54,55,56,57,118,122,126,130,133,134,137,138,139,140,141,142,143,144,145,
189,190,191,192,195,203,207,208,209,210,211,314,315,316,318,321,322,325,328,
332,333,334,342,343,344,348,349,352,408,412,414,510,512,528,531,592,654],[1,3,
4,5,6,7,23,24,25,26,29,30,50,51,52,53,54,55,57,58,59,60,118,119,120,121,128,
130,142,143,144,145,146,147,188,189,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,207,208,305,317,318,323,324,334,335,336,337,338,339,340,341,
342,343,344,345,346,409,410,411,412,413,520,521,522,523,526,527,528,529,590,
655],[1,3,4,5,6,7,20,21,24,25,26,29,30,50,51,52,53,54,56,57,59,62,120,122,130,
133,134,137,138,139,140,142,143,144,145,146,149,190,191,192,194,198,201,204,
208,214,217,219,220,321,322,323,325,332,333,334,337,339,346,353,356,358,360,
408,410,417,419,420,510,517,527,539,593,656],[1,3,4,5,6,7,20,21,23,25,26,29,
30,50,51,52,53,54,56,57,59,61,121,122,130,133,134,137,138,139,140,142,143,144,
145,147,148,190,191,192,194,197,202,205,207,215,216,218,221,321,322,324,325,
332,333,334,336,338,345,354,355,357,359,408,409,416,418,421,510,516,526,538,
594,657],[1,3,4,5,6,7,20,21,22,25,26,29,30,50,51,52,53,54,56,57,59,62,122,125,
130,133,134,137,138,139,140,141,142,143,144,145,190,191,192,194,198,201,204,
208,214,217,219,220,306,310,313,315,321,322,325,327,332,333,334,408,410,417,
419,420,510,514,535,537,593,658],[1,3,4,5,6,7,20,21,22,25,26,29,30,50,51,52,
53,54,56,57,59,61,122,125,130,133,134,137,138,139,140,141,142,143,144,145,190,
191,192,194,197,202,205,207,215,216,218,221,307,311,312,316,321,322,325,327,
332,333,334,408,409,416,418,421,510,513,534,536,594,659],[1,3,4,5,6,7,22,24,
25,26,29,30,50,51,52,53,54,55,57,59,60,61,120,126,127,130,141,142,143,144,145,
146,148,192,194,195,196,198,201,204,206,208,209,210,211,212,213,215,216,218,
221,323,328,329,334,337,339,346,347,348,349,350,351,352,354,355,357,359,410,
414,415,416,426,428,525,527,530,531,538,597,660],[1,3,4,5,6,7,22,23,25,26,29,
30,50,51,52,53,54,55,57,59,60,62,121,126,127,130,141,142,143,144,145,147,149,
192,194,195,196,197,202,205,206,207,209,210,211,212,213,214,217,219,220,324,
328,329,334,336,338,345,347,348,349,350,351,352,353,356,358,360,409,414,415,
417,427,429,524,526,530,531,539,598,661],[1,3,4,5,6,7,22,25,26,29,30,50,51,52,
53,54,55,57,60,61,62,119,126,130,141,142,143,144,145,148,149,188,192,195,196,
203,204,205,209,210,211,214,215,216,217,218,219,220,221,317,328,334,335,340,
341,348,349,352,353,354,355,356,357,358,359,360,413,414,416,417,423,425,518,
529,531,538,539,596,662],[1,3,4,5,6,7,22,25,26,29,30,50,51,52,53,54,55,57,60,
61,62,118,127,130,141,142,143,144,145,148,149,189,192,195,196,203,206,207,208,
212,213,214,215,216,217,218,219,220,221,318,329,334,342,343,344,347,350,351,
353,354,355,356,357,358,359,360,412,415,416,417,422,424,519,528,530,538,539,
595,663],[1,2,3,4,5,6,9,10,11,12,13,16,19,21,26,28,29,30,31,32,33,35,39,42,43,
45,47,57,66,67,76,84,88,93,95,98,102,105,109,130,132,134,157,160,164,165,166,
168,169,170,171,222,226,229,270,279,287,296,365,397,430,431,432,540,542,599,
664],[1,2,3,4,5,6,9,10,11,12,14,16,18,20,26,27,29,30,31,32,33,34,40,42,43,45,
46,57,66,67,75,84,87,92,95,99,101,105,110,130,131,133,158,159,164,165,166,167,
169,170,171,222,225,228,269,280,286,296,364,397,430,431,432,541,543,599,665],[
1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,20,21,23,24,25,26,29,30,31,32,33,36,37,
38,39,40,43,44,45,48,49,57,66,67,79,80,81,84,95,103,105,106,111,112,114,115,
116,122,128,130,155,156,159,160,164,165,166,169,170,171,178,187,222,230,231,
235,236,264,290,291,296,297,298,299,302,368,397,430,431,432,439,448,501,544,
545,548,599,666],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,
27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,59,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,82,83,85,86,87,88,89,90,92,93,94,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,125,146,147,155,156,
157,158,159,160,161,162,163,167,168,169,170,172,173,174,175,176,177,179,180,
181,182,183,184,185,186,223,224,225,226,227,231,232,233,234,260,271,272,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,300,
301,366,391,392,393,394,395,396,433,434,435,436,437,438,440,441,442,443,444,
445,446,447,449,493,504,505,546,547,600,601,602,667],[1,3,4,5,6,10,23,24,25,
31,50,51,52,53,56,57,118,119,120,121,123,128,190,191,192,239,241,303,304,305,
372,408,508,607,668],[1,3,4,5,6,10,23,24,25,31,50,51,52,53,56,57,118,119,120,
121,123,128,190,191,192,240,242,303,304,305,371,408,508,606,669],[1,2,3,4,5,6,
12,16,18,19,23,24,25,27,28,32,50,51,52,53,56,57,71,77,78,85,117,118,119,120,
121,123,128,129,131,132,135,136,172,190,191,192,245,248,249,256,263,265,303,
304,305,319,320,330,331,384,408,451,465,470,471,508,509,563,608,611,670],[1,2,
3,4,5,6,11,16,18,19,23,24,25,27,28,33,50,51,52,53,56,57,72,77,78,86,117,118,
119,120,121,123,128,129,131,132,135,136,173,190,191,192,244,248,249,256,263,
266,303,304,305,319,320,330,331,383,408,450,464,470,471,508,509,564,608,610,
671],[1,2,3,4,5,6,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,36,50,51,52,
53,56,57,73,74,75,76,77,78,79,80,81,87,88,117,118,119,120,121,122,123,128,129,
130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,174,175,190,191,
192,246,247,248,249,250,251,252,253,254,255,256,257,258,259,263,264,267,268,
269,270,303,304,305,319,320,321,322,325,330,331,332,333,334,385,386,387,408,
452,453,466,467,468,469,470,471,472,473,474,508,509,510,565,566,608,609,612,
613,672],[1,2,3,4,5,6,10,16,18,19,23,24,25,27,28,43,50,51,52,53,56,57,77,78,
117,118,119,120,121,123,128,129,131,132,135,136,190,191,192,240,242,248,249,
256,263,303,304,305,319,320,330,331,378,408,470,471,508,509,606,608,673],[1,2,
3,4,5,6,10,16,18,19,23,24,25,27,28,43,50,51,52,53,56,57,77,78,117,118,119,120,
121,123,128,129,131,132,135,136,190,191,192,239,241,248,249,256,263,303,304,
305,319,320,330,331,379,408,470,471,508,509,607,608,674],[1,3,4,5,6,10,15,20,
21,23,24,25,26,29,30,44,50,51,52,53,56,57,79,80,81,118,119,120,121,122,123,
128,130,133,134,137,138,139,140,142,143,144,145,190,191,192,239,241,252,253,
254,255,257,258,259,264,303,304,305,321,322,325,332,333,334,380,382,408,472,
473,474,508,510,607,609,675],[1,3,4,5,6,10,15,20,21,23,24,25,26,29,30,44,50,
51,52,53,56,57,79,80,81,118,119,120,121,122,123,128,130,133,134,137,138,139,
140,142,143,144,145,190,191,192,240,242,252,253,254,255,257,258,259,264,303,
304,305,321,322,325,332,333,334,377,381,408,472,473,474,508,510,606,609,676],[
1,2,3,4,5,6,10,16,18,19,23,24,25,27,28,45,50,51,52,53,56,57,77,78,117,118,119,
120,121,123,128,129,131,132,135,136,190,191,192,239,240,241,242,248,249,256,
263,303,304,305,319,320,330,331,389,408,470,471,508,509,606,607,608,677],[1,2,
3,4,5,6,8,11,14,18,19,20,21,24,25,27,29,37,53,56,57,62,66,72,74,75,83,117,120,
122,131,134,136,137,142,149,155,176,191,198,217,237,244,246,250,319,322,339,
353,373,419,450,453,458,517,552,615,678],[1,2,3,4,5,6,8,12,13,18,19,20,21,23,
25,28,30,38,52,56,57,61,67,71,73,76,82,117,121,122,132,133,135,138,143,148,
156,177,190,197,215,237,245,247,251,320,321,338,355,374,418,451,452,457,516,
551,614,679],[1,3,4,7,10,15,22,25,26,44,51,55,61,62,70,81,84,119,126,144,148,
149,163,178,188,211,220,221,240,255,317,352,357,358,381,425,455,460,518,553,
618,680],[1,3,4,7,10,15,22,25,26,44,50,60,61,62,70,81,84,118,127,145,148,149,
163,178,189,206,218,219,239,254,318,347,359,360,380,424,454,459,519,554,619,
681],[1,2,3,4,5,6,8,9,16,18,19,23,24,25,27,28,48,50,51,52,53,56,57,77,78,82,
83,89,90,117,118,119,120,121,123,128,129,131,132,135,136,185,186,190,191,192,
237,238,248,249,256,261,262,263,303,304,305,319,320,330,331,388,390,408,457,
458,462,463,470,471,508,509,573,574,608,620,621,682],[1,3,4,5,6,10,23,24,25,
49,50,51,52,53,56,57,118,119,120,121,123,128,190,191,192,239,241,303,304,305,
399,408,508,607,683],[1,3,4,5,6,10,23,24,25,49,50,51,52,53,56,57,118,119,120,
121,123,128,190,191,192,240,242,303,304,305,398,408,508,606,684],[1,3,4,5,6,
10,20,26,29,30,31,53,56,57,62,84,130,133,137,140,164,165,166,171,191,198,217,
306,333,397,419,476,535,562,685],[1,3,4,5,6,10,21,26,29,30,31,52,56,57,61,84,
130,134,138,139,164,165,166,171,190,197,215,307,332,397,418,475,534,561,686],[
1,3,4,5,6,7,10,25,26,29,30,31,50,51,52,53,54,55,57,84,118,130,142,143,144,145,
164,165,166,171,189,192,195,203,207,208,239,318,334,342,343,344,372,397,412,
459,528,550,557,558,559,687],[1,3,4,5,6,7,10,25,26,29,30,31,50,51,52,53,54,57,
60,84,119,130,142,143,144,145,164,165,166,171,188,192,196,203,204,205,240,317,
334,335,340,341,371,397,413,460,529,549,555,556,560,688],[1,2,3,4,5,6,9,12,13,
18,19,21,26,28,29,30,39,52,56,57,61,67,71,76,88,90,117,130,132,134,135,138,
139,160,182,190,197,215,238,245,247,270,307,320,332,375,418,451,463,467,534,
580,614,689],[1,2,3,4,5,6,9,11,14,18,19,20,26,27,29,30,40,53,56,57,62,66,72,
75,87,89,117,130,131,133,136,137,140,159,181,191,198,217,238,244,246,269,306,
319,333,376,419,450,462,466,535,581,615,690],[1,2,3,4,5,6,7,9,12,13,18,19,21,
22,26,28,29,30,39,52,54,56,57,61,68,71,76,88,90,117,130,132,134,135,138,139,
141,162,182,190,202,215,238,245,247,270,311,320,332,375,421,451,463,467,536,
580,616,691],[1,2,3,4,5,6,7,9,11,14,18,19,20,22,26,27,29,30,40,53,54,56,57,62,
69,72,75,87,89,117,130,131,133,136,137,140,141,161,181,191,201,217,238,244,
246,269,310,319,333,376,420,450,462,466,537,581,617,692],[1,2,3,4,5,6,8,11,14,
18,19,20,21,25,26,27,28,29,30,37,50,51,52,53,56,57,72,74,75,82,83,86,87,117,
122,129,130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,176,183,
190,191,192,237,244,246,250,261,266,267,269,319,320,321,322,325,330,331,332,
333,334,373,402,408,450,453,457,458,464,466,468,509,510,552,582,610,613,621,
693],[1,2,3,4,5,6,8,12,13,18,19,20,21,25,26,27,28,29,30,38,50,51,52,53,56,57,
71,73,76,82,83,85,88,117,122,129,130,131,132,133,134,135,136,137,138,139,140,
142,143,144,145,177,184,190,191,192,237,245,247,251,261,265,268,270,319,320,
321,322,325,330,331,332,333,334,374,401,408,451,452,457,458,465,467,469,509,
510,551,583,611,612,621,694],[1,2,3,4,5,6,12,16,18,19,23,24,25,27,28,30,32,52,
56,57,61,67,71,77,78,85,117,121,123,128,129,131,132,135,143,170,172,190,197,
215,245,249,256,263,265,303,320,330,338,384,418,451,465,471,533,563,614,695],[
1,2,3,4,5,6,11,16,18,19,23,24,25,27,28,29,33,53,56,57,62,66,72,77,78,86,117,
120,123,128,129,131,132,136,142,169,173,191,198,217,244,248,256,263,266,304,
319,331,339,383,419,450,464,470,532,564,615,696],[1,2,3,4,5,6,9,12,13,18,19,
20,21,25,26,27,28,29,30,39,50,51,52,53,56,57,71,73,76,85,88,89,90,117,122,129,
130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,179,182,190,191,
192,238,245,247,251,262,265,268,270,319,320,321,322,325,330,331,332,333,334,
375,404,408,451,452,462,463,465,467,469,509,510,578,580,611,612,620,697],[1,2,
3,4,5,6,9,11,14,18,19,20,21,25,26,27,28,29,30,40,50,51,52,53,56,57,72,74,75,
86,87,89,90,117,122,129,130,131,132,133,134,135,136,137,138,139,140,142,143,
144,145,180,181,190,191,192,238,244,246,250,262,266,267,269,319,320,321,322,
325,330,331,332,333,334,376,403,408,450,453,462,463,464,466,468,509,510,579,
581,610,613,620,698],[1,2,3,5,6,8,9,11,12,13,14,16,17,18,19,23,24,27,28,34,35,
37,38,41,42,48,56,63,64,65,66,67,77,78,113,117,123,129,151,155,156,157,158,
167,168,237,238,263,284,285,361,362,390,486,487,630,699],[1,2,3,5,6,9,11,12,
13,16,17,18,19,21,28,30,32,35,39,42,47,56,63,66,67,71,76,109,117,135,138,154,
157,158,160,168,170,238,245,247,287,289,361,362,375,488,490,630,700],[1,2,3,5,
6,9,11,12,14,16,17,18,19,20,27,29,33,34,40,42,46,56,63,66,67,72,75,110,117,
136,137,153,157,158,159,167,169,238,244,246,286,288,361,362,376,489,491,630,
701],[1,2,3,7,10,15,16,17,22,43,44,49,58,63,64,65,70,116,124,151,163,243,363,
400,631,702],[1,4,5,6,7,50,51,52,53,54,55,56,57,58,59,60,61,62,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,408,409,410,411,412,413,414,
415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,590,591,592,593,
594,595,596,597,598,703],[1,2,3,5,9,10,11,12,13,16,17,18,28,29,31,32,33,35,39,
42,43,45,47,63,66,71,88,90,93,95,98,102,105,109,158,166,168,169,182,222,226,
229,279,289,292,361,365,405,430,442,507,542,704],[1,2,3,6,9,10,11,12,14,16,17,
19,27,30,31,32,33,34,40,42,43,45,46,63,67,72,87,89,92,95,99,101,105,110,157,
165,167,170,181,222,225,228,280,288,293,362,364,406,431,443,506,543,705],[1,2,
4,5,6,7,12,18,19,27,28,50,51,52,53,54,56,57,59,61,67,68,71,85,117,129,131,132,
135,136,190,191,192,194,197,202,205,207,215,216,218,221,245,265,271,319,320,
330,331,408,409,416,418,421,451,465,509,594,611,614,616,706],[1,2,4,5,6,7,11,
18,19,27,28,50,51,52,53,54,56,57,59,62,66,69,72,86,117,129,131,132,135,136,
190,191,192,194,198,201,204,208,214,217,219,220,244,266,272,319,320,330,331,
408,410,417,419,420,450,464,509,593,610,615,617,707],[1,3,4,5,6,7,10,23,24,25,
26,50,51,52,53,54,56,57,60,84,118,119,120,121,123,128,144,188,190,191,192,196,
203,204,205,206,212,213,240,242,303,304,305,317,344,345,346,408,413,415,460,
508,523,591,606,648,708],[1,3,4,5,6,7,10,23,24,25,26,50,51,52,53,54,55,56,57,
84,118,119,120,121,123,128,145,189,190,191,192,195,203,207,208,209,210,211,
239,241,303,304,305,318,335,336,337,408,412,414,459,508,520,592,607,649,709],[
1,3,4,5,6,7,10,20,21,22,25,26,50,51,52,53,54,55,57,58,59,60,84,118,119,122,
124,125,126,127,139,140,141,144,145,188,189,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,207,208,239,240,243,306,307,308,309,310,311,312,313,
314,315,316,317,318,325,326,327,328,329,409,410,411,412,413,459,460,461,475,
476,477,478,511,512,513,514,515,590,650,710],[1,3,4,5,6,7,15,20,21,22,23,24,
25,26,29,30,50,51,52,53,54,55,57,58,59,60,79,80,81,118,119,120,121,122,124,
125,126,127,128,130,139,140,141,142,143,144,145,146,147,188,189,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,207,208,254,255,258,259,260,264,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,323,324,325,326,327,
328,329,334,335,336,337,338,339,340,341,342,343,344,345,346,409,410,411,412,
413,454,455,456,474,479,480,481,482,483,484,485,511,512,513,514,515,520,521,
522,523,526,527,528,529,590,622,623,624,625,650,655,711],[1,3,4,5,6,7,15,20,
21,22,23,24,25,26,29,30,50,51,52,53,54,56,57,60,79,80,81,118,119,120,121,122,
123,127,128,130,133,134,137,138,139,140,141,142,143,144,145,188,190,191,192,
196,203,204,205,206,212,213,252,253,254,255,257,258,259,264,303,304,305,312,
313,314,317,321,322,325,329,332,333,334,335,340,341,344,345,346,347,350,351,
408,413,415,455,472,473,474,483,484,485,508,510,511,523,529,530,591,609,622,
648,653,712],[1,3,4,5,6,7,15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,55,56,
57,79,80,81,118,119,120,121,122,123,126,128,130,133,134,137,138,139,140,141,
142,143,144,145,189,190,191,192,195,203,207,208,209,210,211,252,253,254,255,
257,258,259,264,303,304,305,314,315,316,318,321,322,325,328,332,333,334,335,
336,337,342,343,344,348,349,352,408,412,414,454,472,473,474,481,482,485,508,
510,512,520,528,531,592,609,623,649,654,713],[1,3,4,5,6,7,15,20,21,22,23,24,
25,26,29,30,50,51,52,53,54,56,57,59,61,79,80,81,118,119,120,121,122,123,125,
128,130,133,134,137,138,139,140,141,142,143,144,145,146,147,148,190,191,192,
194,197,202,205,207,215,216,218,221,252,253,254,255,257,258,259,260,264,303,
304,305,307,311,312,316,321,322,323,324,325,327,332,333,334,336,338,340,342,
345,354,355,357,359,408,409,416,418,421,456,472,473,474,480,482,484,508,510,
513,516,521,526,533,534,536,538,594,609,625,626,652,657,659,714],[1,3,4,5,6,7,
15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,56,57,59,62,79,80,81,118,119,120,
121,122,123,125,128,130,133,134,137,138,139,140,141,142,143,144,145,146,147,
149,190,191,192,194,198,201,204,208,214,217,219,220,252,253,254,255,257,258,
259,260,264,303,304,305,306,310,313,315,321,322,323,324,325,327,332,333,334,
337,339,341,343,346,353,356,358,360,408,410,417,419,420,456,472,473,474,479,
481,483,508,510,514,517,522,527,532,535,537,539,593,609,624,627,651,656,658,
715],[1,4,7,51,55,61,62,91,188,211,220,221,273,425,629,716],[1,4,7,50,60,61,
62,91,189,206,218,219,273,424,628,717],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,
18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,57,66,67,73,74,75,76,77,78,79,80,81,84,87,88,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,122,
128,130,131,132,133,134,155,156,157,158,159,160,164,165,166,167,168,169,170,
171,174,175,178,187,222,223,224,225,226,227,228,229,230,231,232,233,234,235,
236,250,251,256,257,264,269,270,279,280,282,283,284,285,286,287,290,291,296,
297,298,299,302,364,365,366,367,368,369,370,387,397,430,431,432,435,436,439,
448,492,501,540,541,542,543,544,545,548,599,632,633,664,665,666,718],[1,2,3,4,
5,6,10,16,18,19,23,24,25,27,28,31,43,45,50,51,52,53,56,57,77,78,95,117,118,
119,120,121,123,128,129,131,132,135,136,190,191,192,239,240,241,242,248,249,
256,263,303,304,305,319,320,330,331,372,379,389,408,470,471,508,509,606,607,
608,668,674,677,719],[1,2,3,4,5,6,10,16,18,19,23,24,25,27,28,31,43,45,50,51,
52,53,56,57,77,78,95,117,118,119,120,121,123,128,129,131,132,135,136,190,191,
192,239,240,241,242,248,249,256,263,303,304,305,319,320,330,331,371,378,389,
408,470,471,508,509,606,607,608,669,673,677,720],[1,2,3,4,5,6,10,16,18,19,23,
24,25,27,28,45,49,50,51,52,53,56,57,77,78,114,117,118,119,120,121,123,128,129,
131,132,135,136,190,191,192,239,240,241,242,248,249,256,263,303,304,305,319,
320,330,331,389,398,408,470,471,508,509,606,607,608,677,684,721],[1,2,3,4,5,6,
10,16,18,19,23,24,25,27,28,45,49,50,51,52,53,56,57,77,78,114,117,118,119,120,
121,123,128,129,131,132,135,136,190,191,192,239,240,241,242,248,249,256,263,
303,304,305,319,320,330,331,389,399,408,470,471,508,509,606,607,608,677,683,
722],[1,2,3,4,5,6,8,9,10,16,18,19,23,24,25,27,28,45,48,50,51,52,53,56,57,77,
78,82,83,89,90,103,117,118,119,120,121,123,128,129,131,132,135,136,185,186,
190,191,192,237,238,239,240,241,242,248,249,256,261,262,263,303,304,305,319,
320,330,331,388,389,390,408,457,458,462,463,470,471,500,508,509,573,574,606,
607,608,620,621,677,682,723],[1,2,3,4,5,6,10,11,12,16,18,19,23,24,25,27,28,32,
33,43,45,50,51,52,53,56,57,71,72,77,78,85,86,105,117,118,119,120,121,123,128,
129,131,132,135,136,172,173,190,191,192,239,240,241,242,244,245,248,249,256,
263,265,266,303,304,305,319,320,330,331,378,379,383,384,389,408,450,451,464,
465,470,471,499,508,509,563,564,606,607,608,610,611,670,671,673,674,677,724],[
1,2,3,4,5,6,10,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,36,44,45,50,51,
52,53,56,57,73,74,75,76,77,78,79,80,81,87,88,106,117,118,119,120,121,122,123,
128,129,130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,174,175,
190,191,192,239,240,241,242,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,263,264,267,268,269,270,303,304,305,319,320,321,322,325,330,331,332,
333,334,377,380,381,382,385,386,387,389,408,452,453,466,467,468,469,470,471,
472,473,474,496,508,509,510,565,566,606,607,608,609,612,613,672,675,676,677,
725],[1,2,3,4,5,6,8,9,11,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,33,
36,37,40,48,50,51,52,53,56,57,72,73,74,75,76,77,78,79,80,81,82,83,86,87,88,89,
90,111,117,118,119,120,121,122,123,128,129,130,131,132,133,134,135,136,137,
138,139,140,142,143,144,145,173,174,175,176,180,181,183,185,186,190,191,192,
237,238,244,246,247,248,249,250,251,252,253,254,255,256,257,258,259,261,262,
263,264,266,267,268,269,270,300,303,304,305,319,320,321,322,325,330,331,332,
333,334,373,376,383,385,386,387,388,390,402,403,408,450,452,453,457,458,462,
463,464,466,467,468,469,470,471,472,473,474,495,497,508,509,510,552,564,565,
566,573,574,579,581,582,608,609,610,612,613,620,621,644,671,672,682,693,698,
726],[1,2,3,4,5,6,8,9,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,32,
36,38,39,48,50,51,52,53,56,57,71,73,74,75,76,77,78,79,80,81,82,83,85,87,88,89,
90,112,117,118,119,120,121,122,123,128,129,130,131,132,133,134,135,136,137,
138,139,140,142,143,144,145,172,174,175,177,179,182,184,185,186,190,191,192,
237,238,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,261,262,
263,264,265,267,268,269,270,301,303,304,305,319,320,321,322,325,330,331,332,
333,334,374,375,384,385,386,387,388,390,401,404,408,451,452,453,457,458,462,
463,465,466,467,468,469,470,471,472,473,474,494,498,508,509,510,551,563,565,
566,573,574,578,580,583,608,609,611,612,613,620,621,645,670,672,682,694,697,
727],[1,3,4,5,6,10,15,20,21,23,24,25,26,29,30,31,44,49,50,51,52,53,56,57,79,
80,81,115,118,119,120,121,122,123,128,130,133,134,137,138,139,140,142,143,144,
145,190,191,192,239,241,252,253,254,255,257,258,259,264,303,304,305,321,322,
325,332,333,334,372,380,382,399,408,472,473,474,503,508,510,607,609,668,675,
683,728],[1,3,4,5,6,10,15,20,21,23,24,25,26,29,30,31,44,49,50,51,52,53,56,57,
79,80,81,115,118,119,120,121,122,123,128,130,133,134,137,138,139,140,142,143,
144,145,190,191,192,240,242,252,253,254,255,257,258,259,264,303,304,305,321,
322,325,332,333,334,371,377,381,398,408,472,473,474,502,508,510,606,609,669,
676,684,729],[1,2,3,4,5,6,10,15,16,18,19,20,21,23,24,25,26,27,28,29,30,43,44,
49,50,51,52,53,56,57,77,78,79,80,81,116,117,118,119,120,121,122,123,128,129,
130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,190,191,192,239,
241,248,249,252,253,254,255,256,257,258,259,263,264,303,304,305,319,320,321,
322,325,330,331,332,333,334,379,380,382,399,408,470,471,472,473,474,508,509,
510,607,608,609,674,675,683,730],[1,2,3,4,5,6,10,15,16,18,19,20,21,23,24,25,
26,27,28,29,30,43,44,49,50,51,52,53,56,57,77,78,79,80,81,116,117,118,119,120,
121,122,123,128,129,130,131,132,133,134,135,136,137,138,139,140,142,143,144,
145,190,191,192,240,242,248,249,252,253,254,255,256,257,258,259,263,264,303,
304,305,319,320,321,322,325,330,331,332,333,334,377,378,381,398,408,470,471,
472,473,474,508,509,510,606,608,609,673,676,684,731],[1,3,4,5,6,10,15,20,21,
23,24,25,26,29,30,31,44,49,52,56,57,61,79,80,81,84,115,121,122,123,128,130,
133,134,138,139,143,148,164,165,166,171,178,187,190,197,215,252,257,259,264,
297,298,299,302,303,307,321,332,338,355,397,418,473,475,480,501,516,533,534,
561,568,571,626,642,686,732],[1,3,4,5,6,10,15,20,21,23,24,25,26,29,30,31,44,
49,53,56,57,62,79,80,81,84,115,120,122,123,128,130,133,134,137,140,142,149,
164,165,166,171,178,187,191,198,217,253,257,258,264,297,298,299,302,304,306,
322,333,339,353,397,419,472,476,479,501,517,532,535,562,567,572,627,643,685,
733],[1,2,3,4,5,6,8,9,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,32,
36,38,39,48,52,56,57,61,67,71,73,74,75,76,77,78,79,80,81,82,85,87,88,90,112,
117,121,122,123,128,129,130,131,132,133,134,135,138,139,143,148,156,160,170,
172,174,175,177,179,182,184,186,190,197,215,237,238,245,247,249,250,251,252,
256,257,259,263,264,265,267,269,270,290,301,303,307,320,321,330,332,338,355,
374,375,384,385,387,390,418,451,452,457,463,465,467,468,471,473,480,498,516,
533,534,551,563,565,574,578,580,583,614,626,645,679,689,695,734],[1,2,3,4,5,6,
8,9,11,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,33,36,37,40,48,53,56,
57,62,66,72,73,74,75,76,77,78,79,80,81,83,86,87,88,89,111,117,120,122,123,128,
129,130,131,132,133,134,136,137,140,142,149,155,159,169,173,174,175,176,180,
181,183,185,191,198,217,237,238,244,246,248,250,251,253,256,257,258,263,264,
266,268,269,270,291,300,304,306,319,322,331,333,339,353,373,376,383,386,387,
390,419,450,453,458,462,464,466,469,470,472,479,497,517,532,535,552,564,566,
573,579,581,582,615,627,644,678,690,696,735],[1,3,4,5,6,7,10,15,20,21,22,23,
24,25,26,29,30,31,44,49,50,51,52,53,54,55,57,79,80,81,84,115,118,119,120,121,
122,126,128,130,139,140,141,142,143,144,145,164,165,166,171,178,187,189,192,
195,203,207,208,239,254,255,258,259,264,297,298,299,302,305,314,315,316,318,
325,328,334,335,336,337,342,343,344,372,380,397,399,412,454,459,474,481,482,
485,501,503,512,520,528,550,554,557,558,559,575,623,637,638,639,641,687,736],[
1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,54,57,60,79,
80,81,84,115,118,119,120,121,122,127,128,130,139,140,141,142,143,144,145,164,
165,166,171,178,187,188,192,196,203,204,205,240,254,255,258,259,264,297,298,
299,302,305,312,313,314,317,325,329,334,335,340,341,344,345,346,371,381,397,
398,413,455,460,474,483,484,485,501,502,511,523,529,549,553,555,556,560,576,
622,634,635,636,640,688,737],[1,2,3,5,6,8,9,10,11,12,13,14,16,17,18,19,23,24,
27,28,34,35,37,38,41,42,45,46,47,48,56,63,64,65,66,67,77,78,82,83,89,90,96,97,
101,102,103,104,113,117,123,129,150,151,152,155,156,157,158,167,168,185,186,
234,237,238,241,242,261,262,263,274,284,285,292,293,294,295,361,362,388,389,
390,437,438,486,487,500,588,589,630,699,738],[1,2,3,5,6,8,9,11,12,13,14,15,16,
17,18,19,21,23,24,27,28,30,32,34,35,36,37,38,39,41,42,47,48,56,63,64,65,66,67,
71,74,76,77,78,79,85,87,92,94,96,107,109,112,113,117,123,129,135,138,151,154,
155,156,157,158,160,167,168,170,172,175,224,237,238,245,247,249,252,263,265,
267,275,277,280,283,284,285,287,289,290,361,362,374,375,384,385,390,433,435,
486,487,488,490,498,585,586,630,699,700,739],[1,2,3,5,6,8,9,11,12,13,14,15,16,
17,18,19,20,23,24,27,28,29,33,34,35,36,37,38,40,41,42,46,48,56,63,64,65,66,67,
72,73,75,77,78,80,86,88,93,94,97,108,110,111,113,117,123,129,136,137,151,153,
155,156,157,158,159,167,168,169,173,174,223,237,238,244,246,248,253,263,266,
268,276,278,279,282,284,285,286,288,291,361,362,373,376,383,386,390,434,436,
486,487,489,491,497,584,587,630,699,701,740],[1,3,4,5,6,7,20,21,22,23,24,25,
26,29,30,50,51,52,53,54,55,56,57,58,59,60,61,62,118,119,120,121,122,126,127,
128,130,133,134,137,138,139,140,141,142,143,144,145,146,147,148,149,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,305,312,313,314,315,316,
317,318,321,322,323,324,325,328,329,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,
427,428,429,510,511,512,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,538,539,590,591,592,593,594,595,596,597,598,653,654,655,656,657,
660,661,662,663,703,741],[1,3,4,5,6,7,23,24,25,26,29,30,50,51,52,53,54,55,56,
57,58,59,60,61,62,118,119,120,121,123,128,130,142,143,144,145,146,147,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,303,304,305,317,318,323,
324,334,335,336,337,338,339,340,341,342,343,344,345,346,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,508,520,
521,522,523,526,527,528,529,532,533,590,591,592,593,594,595,596,597,598,648,
649,651,652,655,703,742],[1,3,4,5,6,7,20,21,22,25,26,29,30,50,51,52,53,54,55,
56,57,58,59,60,61,62,118,119,122,124,125,126,127,130,133,134,137,138,139,140,
141,142,143,144,145,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,306,307,308,309,310,311,312,313,314,315,316,317,318,321,322,325,326,327,
328,329,332,333,334,335,340,341,342,343,344,347,348,349,350,351,352,408,409,
410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,
429,510,511,512,513,514,515,528,529,530,531,534,535,536,537,590,591,592,593,
594,595,596,597,598,650,653,654,658,659,703,743],[1,2,3,6,8,9,10,11,12,13,14,
15,16,17,19,21,23,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,63,67,72,74,76,78,79,83,86,87,89,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,153,156,157,160,165,167,
170,173,175,176,180,181,183,185,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,278,280,283,284,287,288,290,293,295,298,300,362,364,365,366,
367,368,369,370,406,431,434,435,438,441,443,444,447,491,492,506,540,543,545,
547,605,632,705,744],[1,2,3,5,8,9,10,11,12,13,14,15,16,17,18,20,24,28,29,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,63,66,71,73,75,77,80,82,
85,88,90,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,154,155,158,159,166,168,169,172,174,177,179,182,184,
186,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,277,279,282,
285,286,289,291,292,294,299,301,361,364,365,366,367,368,369,370,405,430,433,
436,437,440,442,445,446,490,492,507,541,542,544,546,604,633,704,745],[1,3,4,5,
6,7,10,23,24,25,26,31,50,51,52,53,54,56,57,60,118,119,120,121,123,128,144,164,
188,190,191,192,196,203,204,205,206,212,213,239,241,303,304,305,317,344,345,
346,372,408,413,415,508,523,557,591,607,648,668,746],[1,3,4,5,6,7,10,23,24,25,
26,31,50,51,52,53,54,55,56,57,118,119,120,121,123,128,145,164,189,190,191,192,
195,203,207,208,209,210,211,240,242,303,304,305,318,335,336,337,371,408,412,
414,508,520,560,592,606,649,669,747],[1,3,4,5,6,7,10,23,24,25,29,31,50,51,52,
53,54,56,57,59,62,118,119,120,121,123,128,142,147,166,190,191,192,194,198,201,
204,208,214,217,219,220,240,242,303,304,305,324,339,341,343,371,408,410,417,
419,420,508,522,532,555,593,606,651,669,748],[1,3,4,5,6,7,10,23,24,25,30,31,
50,51,52,53,54,56,57,59,61,118,119,120,121,123,128,143,146,165,190,191,192,
194,197,202,205,207,215,216,218,221,240,242,303,304,305,323,338,340,342,371,
408,409,416,418,421,508,521,533,556,594,606,652,669,749],[1,3,4,5,6,7,10,23,
24,25,29,31,50,51,52,53,54,56,57,59,62,118,119,120,121,123,128,142,147,166,
190,191,192,194,198,201,204,208,214,217,219,220,239,241,303,304,305,324,339,
341,343,372,408,410,417,419,420,508,522,532,558,593,607,651,668,750],[1,3,4,5,
6,7,10,23,24,25,30,31,50,51,52,53,54,56,57,59,61,118,119,120,121,123,128,143,
146,165,190,191,192,194,197,202,205,207,215,216,218,221,239,241,303,304,305,
323,338,340,342,372,408,409,416,418,421,508,521,533,559,594,607,652,668,751],[
1,3,4,5,6,7,10,20,21,22,25,26,31,50,51,52,53,54,55,57,58,59,60,84,118,119,122,
124,125,126,127,139,140,141,144,145,171,188,189,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,207,208,239,240,243,306,307,308,309,310,311,312,
313,314,315,316,317,318,325,326,327,328,329,371,372,409,410,411,412,413,459,
460,461,475,476,477,478,511,512,513,514,515,549,550,561,562,590,650,710,752],[
1,3,4,5,6,7,10,23,24,25,26,31,50,51,52,53,54,56,57,60,84,118,119,120,121,123,
128,144,171,188,190,191,192,196,203,204,205,206,212,213,240,242,303,304,305,
317,344,345,346,371,408,413,415,460,508,523,549,591,606,648,669,708,753],[1,3,
4,5,6,7,10,23,24,25,26,31,50,51,52,53,54,55,56,57,84,118,119,120,121,123,128,
145,171,189,190,191,192,195,203,207,208,209,210,211,239,241,303,304,305,318,
335,336,337,372,408,412,414,459,508,520,550,592,607,649,668,709,754],[1,3,4,5,
6,7,10,15,20,21,22,23,24,25,26,29,30,44,50,51,52,53,54,55,56,57,79,80,81,84,
118,119,120,121,122,123,126,128,130,133,134,137,138,139,140,141,142,143,144,
145,178,189,190,191,192,195,203,207,208,209,210,211,239,241,252,253,254,255,
257,258,259,264,303,304,305,314,315,316,318,321,322,325,328,332,333,334,335,
336,337,342,343,344,348,349,352,380,382,408,412,414,454,459,472,473,474,481,
482,485,508,510,512,520,528,531,554,592,607,609,623,649,654,675,709,713,755],[
1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,44,50,51,52,53,54,56,57,60,79,80,
81,84,118,119,120,121,122,123,127,128,130,133,134,137,138,139,140,141,142,143,
144,145,178,188,190,191,192,196,203,204,205,206,212,213,240,242,252,253,254,
255,257,258,259,264,303,304,305,312,313,314,317,321,322,325,329,332,333,334,
335,340,341,344,345,346,347,350,351,377,381,408,413,415,455,460,472,473,474,
483,484,485,508,510,511,523,529,530,553,591,606,609,622,648,653,676,708,712,
756],[1,3,4,5,6,7,10,20,21,22,25,26,49,50,51,52,53,54,55,57,58,59,60,84,118,
119,122,124,125,126,127,139,140,141,144,145,187,188,189,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,207,208,239,240,243,306,307,308,309,310,
311,312,313,314,315,316,317,318,325,326,327,328,329,398,399,400,409,410,411,
412,413,459,460,461,475,476,477,478,511,512,513,514,515,567,568,569,570,575,
576,577,590,650,710,757],[1,3,4,5,6,7,10,23,24,25,26,49,50,51,52,53,54,55,56,
57,84,118,119,120,121,123,128,145,187,189,190,191,192,195,203,207,208,209,210,
211,239,241,303,304,305,318,335,336,337,399,408,412,414,459,508,520,575,592,
607,649,683,709,758],[1,3,4,5,6,7,10,23,24,25,26,49,50,51,52,53,54,56,57,60,
84,118,119,120,121,123,128,144,187,188,190,191,192,196,203,204,205,206,212,
213,240,242,303,304,305,317,344,345,346,398,408,413,415,460,508,523,576,591,
606,648,684,708,759],[1,2,3,4,5,6,7,8,11,14,18,19,20,21,24,25,26,27,28,29,30,
37,50,51,52,53,54,56,57,59,62,66,69,72,74,75,82,83,86,87,117,120,122,129,130,
131,132,133,134,135,136,137,138,139,140,142,143,144,145,146,149,155,176,183,
190,191,192,194,198,201,204,208,214,217,219,220,237,244,246,250,261,266,267,
269,272,319,320,321,322,323,325,330,331,332,333,334,337,339,346,353,356,358,
360,373,395,402,408,410,417,419,420,450,453,457,458,464,466,468,509,510,517,
527,539,552,582,593,610,613,615,617,621,656,678,693,707,760],[1,2,3,4,5,6,7,8,
12,13,18,19,20,21,23,25,26,27,28,29,30,38,50,51,52,53,54,56,57,59,61,67,68,71,
73,76,82,83,85,88,117,121,122,129,130,131,132,133,134,135,136,137,138,139,140,
142,143,144,145,147,148,156,177,184,190,191,192,194,197,202,205,207,215,216,
218,221,237,245,247,251,261,265,268,270,271,319,320,321,322,324,325,330,331,
332,333,334,336,338,345,354,355,357,359,374,396,401,408,409,416,418,421,451,
452,457,458,465,467,469,509,510,516,526,538,551,583,594,611,612,614,616,621,
657,679,694,706,761],[1,2,3,4,5,6,7,9,11,14,18,19,20,21,22,25,26,27,28,29,30,
40,50,51,52,53,54,56,57,59,62,66,69,72,74,75,86,87,89,90,117,122,125,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,159,161,180,181,
190,191,192,194,198,201,204,208,214,217,219,220,238,244,246,250,262,266,267,
269,272,306,310,313,315,319,320,321,322,325,327,330,331,332,333,334,376,392,
403,408,410,417,419,420,450,453,462,463,464,466,468,509,510,514,535,537,579,
581,593,610,613,615,617,620,658,690,692,698,707,762],[1,2,3,4,5,6,7,9,12,13,
18,19,20,21,22,25,26,27,28,29,30,39,50,51,52,53,54,56,57,59,61,67,68,71,73,76,
85,88,89,90,117,122,125,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,160,162,179,182,190,191,192,194,197,202,205,207,215,216,218,
221,238,245,247,251,262,265,268,270,271,307,311,312,316,319,320,321,322,325,
327,330,331,332,333,334,375,391,404,408,409,416,418,421,451,452,462,463,465,
467,469,509,510,513,534,536,578,580,594,611,612,614,616,620,659,689,691,697,
706,763],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,44,50,51,52,53,54,55,
57,58,59,60,79,80,81,84,118,119,120,121,122,124,125,126,127,128,130,139,140,
141,142,143,144,145,146,147,178,188,189,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,207,208,239,240,243,254,255,258,259,260,264,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,323,324,325,326,327,328,329,334,
335,336,337,338,339,340,341,342,343,344,345,346,380,381,409,410,411,412,413,
454,455,456,459,460,461,474,475,476,477,478,479,480,481,482,483,484,485,511,
512,513,514,515,520,521,522,523,526,527,528,529,553,554,571,572,590,622,623,
624,625,650,655,710,711,764],[1,2,3,4,5,6,7,12,16,18,19,23,24,25,27,28,30,32,
50,51,52,53,54,56,57,59,61,67,68,71,77,78,85,117,118,119,120,121,123,128,129,
131,132,135,136,143,146,170,172,190,191,192,194,197,202,205,207,215,216,218,
221,245,248,249,256,263,265,271,303,304,305,319,320,323,330,331,338,340,342,
384,394,408,409,416,418,421,451,465,470,471,508,509,521,533,563,594,608,611,
614,616,652,670,695,706,765],[1,2,3,4,5,6,7,11,16,18,19,23,24,25,27,28,29,33,
50,51,52,53,54,56,57,59,62,66,69,72,77,78,86,117,118,119,120,121,123,128,129,
131,132,135,136,142,147,169,173,190,191,192,194,198,201,204,208,214,217,219,
220,244,248,249,256,263,266,272,303,304,305,319,320,324,330,331,339,341,343,
383,393,408,410,417,419,420,450,464,470,471,508,509,522,532,564,593,608,610,
615,617,651,671,696,707,766],[1,2,3,4,5,6,10,11,12,16,18,19,23,24,25,27,28,31,
32,33,43,45,50,51,52,53,56,57,71,72,77,78,85,86,95,105,117,118,119,120,121,
123,128,129,131,132,135,136,172,173,190,191,192,222,239,240,241,242,244,245,
248,249,256,263,265,266,303,304,305,319,320,330,331,371,372,378,379,383,384,
389,408,450,451,464,465,470,471,499,508,509,563,564,606,607,608,610,611,668,
669,670,671,673,674,677,719,720,724,767],[1,2,3,4,5,6,10,13,14,15,16,18,19,20,
21,23,24,25,26,27,28,29,30,31,36,43,44,45,49,50,51,52,53,56,57,73,74,75,76,77,
78,79,80,81,87,88,95,106,114,115,116,117,118,119,120,121,122,123,128,129,130,
131,132,133,134,135,136,137,138,139,140,142,143,144,145,174,175,190,191,192,
236,239,240,241,242,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
263,264,267,268,269,270,303,304,305,319,320,321,322,325,330,331,332,333,334,
371,377,378,380,381,382,385,386,387,389,398,408,452,453,466,467,468,469,470,
471,472,473,474,496,502,508,509,510,565,566,606,607,608,609,612,613,669,672,
673,675,676,677,684,720,721,725,729,731,768],[1,2,3,4,5,6,10,13,14,15,16,18,
19,20,21,23,24,25,26,27,28,29,30,31,36,43,44,45,49,50,51,52,53,56,57,73,74,75,
76,77,78,79,80,81,87,88,95,106,114,115,116,117,118,119,120,121,122,123,128,
129,130,131,132,133,134,135,136,137,138,139,140,142,143,144,145,174,175,190,
191,192,236,239,240,241,242,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,263,264,267,268,269,270,303,304,305,319,320,321,322,325,330,331,332,
333,334,372,377,379,380,381,382,385,386,387,389,399,408,452,453,466,467,468,
469,470,471,472,473,474,496,503,508,509,510,565,566,606,607,608,609,612,613,
668,672,674,675,676,677,683,719,722,725,728,730,769],[1,2,3,4,5,6,10,11,12,16,
18,19,23,24,25,27,28,32,33,43,45,49,50,51,52,53,56,57,71,72,77,78,85,86,105,
114,117,118,119,120,121,123,128,129,131,132,135,136,172,173,190,191,192,230,
239,240,241,242,244,245,248,249,256,263,265,266,303,304,305,319,320,330,331,
378,379,383,384,389,398,399,408,450,451,464,465,470,471,499,508,509,563,564,
606,607,608,610,611,670,671,673,674,677,683,684,721,722,724,770],[1,2,3,4,5,6,
8,9,10,16,18,19,23,24,25,27,28,31,43,45,48,49,50,51,52,53,56,57,77,78,82,83,
89,90,95,103,114,117,118,119,120,121,123,128,129,131,132,135,136,185,186,190,
191,192,235,237,238,239,240,241,242,248,249,256,261,262,263,303,304,305,319,
320,330,331,371,378,388,389,390,399,408,457,458,462,463,470,471,500,508,509,
573,574,606,607,608,620,621,669,673,677,682,683,720,722,723,771],[1,2,3,4,5,6,
8,9,10,16,18,19,23,24,25,27,28,31,43,45,48,49,50,51,52,53,56,57,77,78,82,83,
89,90,95,103,114,117,118,119,120,121,123,128,129,131,132,135,136,185,186,190,
191,192,235,237,238,239,240,241,242,248,249,256,261,262,263,303,304,305,319,
320,330,331,372,379,388,389,390,398,408,457,458,462,463,470,471,500,508,509,
573,574,606,607,608,620,621,668,674,677,682,684,719,721,723,772],[1,2,3,4,5,6,
8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,32,33,36,37,38,
39,40,43,44,45,48,50,51,52,53,56,57,71,72,73,74,75,76,77,78,79,80,81,82,83,85,
86,87,88,89,90,103,105,106,111,112,117,118,119,120,121,122,123,128,129,130,
131,132,133,134,135,136,137,138,139,140,142,143,144,145,172,173,174,175,176,
177,179,180,181,182,183,184,185,186,190,191,192,231,237,238,239,240,241,242,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,261,262,263,
264,265,266,267,268,269,270,300,301,303,304,305,319,320,321,322,325,330,331,
332,333,334,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,401,402,403,404,408,450,451,452,453,457,458,462,463,464,465,466,467,
468,469,470,471,472,473,474,494,495,496,497,498,499,500,508,509,510,551,552,
563,564,565,566,573,574,578,579,580,581,582,583,603,606,607,608,609,610,611,
612,613,620,621,644,645,670,671,672,673,674,675,676,677,682,693,694,697,698,
723,724,725,726,727,773],[1,2,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,56,63,64,
65,66,67,71,72,73,74,75,76,77,78,79,80,82,83,85,86,87,88,89,90,92,93,94,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,117,123,129,135,
136,137,138,150,151,152,153,154,155,156,157,158,159,160,167,168,169,170,172,
173,174,175,176,177,179,180,181,182,183,184,185,186,223,224,225,226,227,231,
232,233,234,237,238,241,242,244,245,246,247,248,249,252,253,261,262,263,265,
266,267,268,274,275,276,277,278,279,280,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,300,301,361,362,366,373,374,375,376,377,378,379,382,383,
384,385,386,388,389,390,401,402,403,404,407,433,434,435,436,437,438,440,441,
442,443,444,445,446,447,486,487,488,489,490,491,494,495,496,497,498,499,500,
546,547,584,585,586,587,588,589,603,630,646,647,699,700,701,738,739,740,774],[
1,3,4,5,6,7,15,20,21,22,23,24,25,26,29,30,50,51,52,53,54,55,56,57,58,59,60,61,
62,79,80,81,118,119,120,121,122,123,124,125,126,127,128,130,133,134,137,138,
139,140,141,142,143,144,145,146,147,148,149,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,252,253,254,255,257,258,259,260,264,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,318,321,322,323,324,325,326,
327,328,329,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,
348,349,350,351,352,353,354,355,356,357,358,359,360,408,409,410,411,412,413,
414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,454,455,456,
472,473,474,479,480,481,482,483,484,485,508,510,511,512,513,514,515,516,517,
518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,
537,538,539,590,591,592,593,594,595,596,597,598,609,622,623,624,625,626,627,
648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,703,711,712,
713,714,715,741,742,743,775],[1,2,3,4,5,6,7,10,16,18,19,23,24,25,26,27,28,31,
43,45,50,51,52,53,54,55,56,57,77,78,84,95,117,118,119,120,121,123,128,129,131,
132,135,136,145,164,189,190,191,192,195,203,207,208,209,210,211,239,240,241,
242,248,249,256,263,296,303,304,305,318,319,320,330,331,335,336,337,371,378,
389,408,412,414,459,470,471,508,509,520,560,592,606,607,608,649,669,673,677,
709,720,747,776],[1,2,3,4,5,6,7,10,16,18,19,23,24,25,26,27,28,31,43,45,50,51,
52,53,54,56,57,60,77,78,84,95,117,118,119,120,121,123,128,129,131,132,135,136,
144,164,188,190,191,192,196,203,204,205,206,212,213,239,240,241,242,248,249,
256,263,296,303,304,305,317,319,320,330,331,344,345,346,372,379,389,408,413,
415,460,470,471,508,509,523,557,591,606,607,608,648,668,674,677,708,719,746,
777],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,54,55,
56,57,79,80,81,115,118,119,120,121,122,123,126,128,130,133,134,137,138,139,
140,141,142,143,144,145,164,189,190,191,192,195,203,207,208,209,210,211,240,
242,252,253,254,255,257,258,259,264,297,303,304,305,314,315,316,318,321,322,
325,328,332,333,334,335,336,337,342,343,344,348,349,352,371,377,381,398,408,
412,414,454,472,473,474,481,482,485,502,508,510,512,520,528,531,560,592,606,
609,623,634,649,654,669,676,684,713,729,747,778],[1,3,4,5,6,7,10,15,20,21,22,
23,24,25,26,29,30,31,44,49,50,51,52,53,54,56,57,60,79,80,81,115,118,119,120,
121,122,123,127,128,130,133,134,137,138,139,140,141,142,143,144,145,164,188,
190,191,192,196,203,204,205,206,212,213,239,241,252,253,254,255,257,258,259,
264,297,303,304,305,312,313,314,317,321,322,325,329,332,333,334,335,340,341,
344,345,346,347,350,351,372,380,382,399,408,413,415,455,472,473,474,483,484,
485,503,508,510,511,523,529,530,557,591,607,609,622,639,648,653,668,675,683,
712,728,746,779],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,
52,53,54,56,57,59,62,79,80,81,115,118,119,120,121,122,123,125,128,130,133,134,
137,138,139,140,141,142,143,144,145,146,147,149,166,190,191,192,194,198,201,
204,208,214,217,219,220,240,242,252,253,254,255,257,258,259,260,264,299,303,
304,305,306,310,313,315,321,322,323,324,325,327,332,333,334,337,339,341,343,
346,353,356,358,360,371,377,381,398,408,410,417,419,420,456,472,473,474,479,
481,483,502,508,510,514,517,522,527,532,535,537,539,555,593,606,609,624,627,
635,651,656,658,669,676,684,715,729,748,780],[1,3,4,5,6,7,10,15,20,21,22,23,
24,25,26,29,30,31,44,49,50,51,52,53,54,56,57,59,61,79,80,81,115,118,119,120,
121,122,123,125,128,130,133,134,137,138,139,140,141,142,143,144,145,146,147,
148,165,190,191,192,194,197,202,205,207,215,216,218,221,240,242,252,253,254,
255,257,258,259,260,264,298,303,304,305,307,311,312,316,321,322,323,324,325,
327,332,333,334,336,338,340,342,345,354,355,357,359,371,377,381,398,408,409,
416,418,421,456,472,473,474,480,482,484,502,508,510,513,516,521,526,533,534,
536,538,556,594,606,609,625,626,636,652,657,659,669,676,684,714,729,749,781],[
1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,54,56,57,59,
61,79,80,81,115,118,119,120,121,122,123,125,128,130,133,134,137,138,139,140,
141,142,143,144,145,146,147,148,165,190,191,192,194,197,202,205,207,215,216,
218,221,239,241,252,253,254,255,257,258,259,260,264,298,303,304,305,307,311,
312,316,321,322,323,324,325,327,332,333,334,336,338,340,342,345,354,355,357,
359,372,380,382,399,408,409,416,418,421,456,472,473,474,480,482,484,503,508,
510,513,516,521,526,533,534,536,538,559,594,607,609,625,626,638,652,657,659,
668,675,683,714,728,751,782],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,
44,49,50,51,52,53,54,56,57,59,62,79,80,81,115,118,119,120,121,122,123,125,128,
130,133,134,137,138,139,140,141,142,143,144,145,146,147,149,166,190,191,192,
194,198,201,204,208,214,217,219,220,239,241,252,253,254,255,257,258,259,260,
264,299,303,304,305,306,310,313,315,321,322,323,324,325,327,332,333,334,337,
339,341,343,346,353,356,358,360,372,380,382,399,408,410,417,419,420,456,472,
473,474,479,481,483,503,508,510,514,517,522,527,532,535,537,539,558,593,607,
609,624,627,637,651,656,658,668,675,683,715,728,750,783],[1,2,3,4,5,6,7,8,9,
12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,36,38,39,48,50,51,52,
53,54,56,57,59,61,67,68,71,73,74,75,76,77,78,79,80,81,82,83,85,87,88,89,90,
112,117,118,119,120,121,122,123,125,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,156,160,162,170,172,174,175,177,
179,182,184,185,186,190,191,192,194,197,202,205,207,215,216,218,221,237,238,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,267,268,269,270,271,290,301,303,304,305,307,311,312,316,319,320,321,
322,323,324,325,327,330,331,332,333,334,336,338,340,342,345,354,355,357,359,
374,375,384,385,386,387,388,390,391,394,396,401,404,408,409,416,418,421,451,
452,453,456,457,458,462,463,465,466,467,468,469,470,471,472,473,474,480,482,
484,494,498,505,508,509,510,513,516,521,526,533,534,536,538,551,563,565,566,
573,574,578,580,583,594,608,609,611,612,613,614,616,620,621,625,626,645,652,
657,659,670,672,679,682,689,691,694,695,697,706,714,727,734,761,763,765,784],[
1,2,3,4,5,6,7,8,9,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,33,36,
37,40,48,50,51,52,53,54,56,57,59,62,66,69,72,73,74,75,76,77,78,79,80,81,82,83,
86,87,88,89,90,111,117,118,119,120,121,122,123,125,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,149,155,159,161,169,
173,174,175,176,180,181,183,185,186,190,191,192,194,198,201,204,208,214,217,
219,220,237,238,244,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,266,267,268,269,270,272,291,300,303,304,305,306,310,313,
315,319,320,321,322,323,324,325,327,330,331,332,333,334,337,339,341,343,346,
353,356,358,360,373,376,383,385,386,387,388,390,392,393,395,402,403,408,410,
417,419,420,450,452,453,456,457,458,462,463,464,466,467,468,469,470,471,472,
473,474,479,481,483,495,497,504,508,509,510,514,517,522,527,532,535,537,539,
552,564,565,566,573,574,579,581,582,593,608,609,610,612,613,615,617,620,621,
624,627,644,651,656,658,671,672,678,682,690,692,693,696,698,707,715,726,735,
760,762,766,785],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,
52,53,54,55,56,57,79,80,81,84,115,118,119,120,121,122,123,126,128,130,133,134,
137,138,139,140,141,142,143,144,145,171,178,187,189,190,191,192,195,203,207,
208,209,210,211,239,241,252,253,254,255,257,258,259,264,302,303,304,305,314,
315,316,318,321,322,325,328,332,333,334,335,336,337,342,343,344,348,349,352,
372,380,382,399,408,412,414,454,459,472,473,474,481,482,485,503,508,510,512,
520,528,531,550,554,575,592,607,609,623,641,649,654,668,675,683,709,713,728,
754,755,758,786],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,
52,53,54,56,57,60,79,80,81,84,115,118,119,120,121,122,123,127,128,130,133,134,
137,138,139,140,141,142,143,144,145,171,178,187,188,190,191,192,196,203,204,
205,206,212,213,240,242,252,253,254,255,257,258,259,264,302,303,304,305,312,
313,314,317,321,322,325,329,332,333,334,335,340,341,344,345,346,347,350,351,
371,377,381,398,408,413,415,455,460,472,473,474,483,484,485,502,508,510,511,
523,529,530,549,553,576,591,606,609,622,640,648,653,669,676,684,708,712,729,
753,756,759,787],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,
52,53,54,55,57,58,59,60,79,80,81,84,115,118,119,120,121,122,124,125,126,127,
128,130,139,140,141,142,143,144,145,146,147,171,178,187,188,189,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,207,208,239,240,243,254,255,258,
259,260,264,302,305,306,307,308,309,310,311,312,313,314,315,316,317,318,323,
324,325,326,327,328,329,334,335,336,337,338,339,340,341,342,343,344,345,346,
371,372,380,381,398,399,400,409,410,411,412,413,454,455,456,459,460,461,474,
475,476,477,478,479,480,481,482,483,484,485,502,503,511,512,513,514,515,520,
521,522,523,526,527,528,529,549,550,553,554,561,562,567,568,569,570,571,572,
575,576,577,590,622,623,624,625,640,641,642,643,650,655,710,711,752,757,764,
788],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,
30,31,32,33,36,37,38,39,40,43,44,45,48,49,50,51,52,53,56,57,71,72,73,74,75,76,
77,78,79,80,81,82,83,85,86,87,88,89,90,95,103,105,106,111,112,114,115,116,117,
118,119,120,121,122,123,128,129,130,131,132,133,134,135,136,137,138,139,140,
142,143,144,145,172,173,174,175,176,177,179,180,181,182,183,184,185,186,190,
191,192,222,230,231,235,236,237,238,239,240,241,242,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,261,262,263,264,265,266,267,268,269,
270,300,301,303,304,305,319,320,321,322,325,330,331,332,333,334,368,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,398,
399,401,402,403,404,408,450,451,452,453,457,458,462,463,464,465,466,467,468,
469,470,471,472,473,474,494,495,496,497,498,499,500,502,503,508,509,510,551,
552,563,564,565,566,573,574,578,579,580,581,582,583,603,606,607,608,609,610,
611,612,613,620,621,644,645,668,669,670,671,672,673,674,675,676,677,682,683,
684,693,694,697,698,719,720,721,722,723,724,725,726,727,728,729,730,731,767,
768,769,770,771,772,773,789],[1,3,4,7,10,15,22,25,26,31,44,49,50,51,54,70,81,
91,115,118,119,141,144,145,163,164,203,239,240,254,255,273,297,314,335,344,
371,372,380,381,398,399,485,502,503,557,560,634,639,790],[1,3,4,5,6,7,10,23,
24,25,26,29,30,31,50,51,52,53,54,55,56,57,58,59,60,61,62,84,118,119,120,121,
123,128,130,142,143,144,145,146,147,164,165,166,171,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,239,241,303,304,305,317,318,323,324,334,
335,336,337,338,339,340,341,342,343,344,345,346,372,397,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,459,508,
520,521,522,523,526,527,528,529,532,533,550,557,558,559,590,591,592,593,594,
595,596,597,598,607,648,649,651,652,655,668,687,703,709,742,746,750,751,754,
791],[1,3,4,5,6,7,10,23,24,25,26,29,30,31,50,51,52,53,54,55,56,57,58,59,60,61,
62,84,118,119,120,121,123,128,130,142,143,144,145,146,147,164,165,166,171,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,218,219,220,221,240,242,303,304,305,
317,318,323,324,334,335,336,337,338,339,340,341,342,343,344,345,346,371,397,
408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,
427,428,429,460,508,520,521,522,523,526,527,528,529,532,533,549,555,556,560,
590,591,592,593,594,595,596,597,598,606,648,649,651,652,655,669,688,703,708,
742,747,748,749,753,792],[1,3,4,5,6,7,10,20,21,22,25,26,29,30,31,50,51,52,53,
54,55,56,57,58,59,60,61,62,84,118,119,122,124,125,126,127,130,133,134,137,138,
139,140,141,142,143,144,145,164,165,166,171,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,239,240,243,306,307,308,309,310,311,312,313,314,
315,316,317,318,321,322,325,326,327,328,329,332,333,334,335,340,341,342,343,
344,347,348,349,350,351,352,371,372,397,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,459,460,461,475,476,477,
478,510,511,512,513,514,515,528,529,530,531,534,535,536,537,549,550,555,556,
557,558,559,560,561,562,590,591,592,593,594,595,596,597,598,650,653,654,658,
659,685,686,687,688,703,710,743,752,793],[1,2,3,4,5,6,7,10,11,12,16,18,19,23,
24,25,26,27,28,31,32,33,43,45,50,51,52,53,54,55,56,57,71,72,77,78,84,85,86,95,
105,117,118,119,120,121,123,128,129,131,132,135,136,145,164,171,172,173,189,
190,191,192,195,203,207,208,209,210,211,222,239,240,241,242,244,245,248,249,
256,263,265,266,296,303,304,305,318,319,320,330,331,335,336,337,371,372,378,
379,383,384,389,408,412,414,432,450,451,459,464,465,470,471,499,508,509,520,
550,560,563,564,592,606,607,608,610,611,649,668,669,670,671,673,674,677,709,
719,720,724,747,754,767,776,794],[1,2,3,4,5,6,7,10,11,12,16,18,19,23,24,25,26,
27,28,31,32,33,43,45,50,51,52,53,54,56,57,60,71,72,77,78,84,85,86,95,105,117,
118,119,120,121,123,128,129,131,132,135,136,144,164,171,172,173,188,190,191,
192,196,203,204,205,206,212,213,222,239,240,241,242,244,245,248,249,256,263,
265,266,296,303,304,305,317,319,320,330,331,344,345,346,371,372,378,379,383,
384,389,408,413,415,432,450,451,460,464,465,470,471,499,508,509,523,549,557,
563,564,591,606,607,608,610,611,648,668,669,670,671,673,674,677,708,719,720,
724,746,753,767,777,795],[1,2,3,4,5,6,7,10,11,12,16,18,19,23,24,25,27,28,30,
31,32,33,43,45,50,51,52,53,54,56,57,59,61,67,68,71,72,77,78,85,86,95,105,117,
118,119,120,121,123,128,129,131,132,135,136,143,146,165,170,172,173,190,191,
192,194,197,202,205,207,215,216,218,221,222,239,240,241,242,244,245,248,249,
256,263,265,266,271,303,304,305,319,320,323,330,331,338,340,342,371,372,378,
379,383,384,389,394,408,409,416,418,421,431,450,451,464,465,470,471,499,508,
509,521,533,556,559,563,564,594,606,607,608,610,611,614,616,652,668,669,670,
671,673,674,677,695,706,719,720,724,749,751,765,767,796],[1,2,3,4,5,6,7,10,11,
12,16,18,19,23,24,25,27,28,29,31,32,33,43,45,50,51,52,53,54,56,57,59,62,66,69,
71,72,77,78,85,86,95,105,117,118,119,120,121,123,128,129,131,132,135,136,142,
147,166,169,172,173,190,191,192,194,198,201,204,208,214,217,219,220,222,239,
240,241,242,244,245,248,249,256,263,265,266,272,303,304,305,319,320,324,330,
331,339,341,343,371,372,378,379,383,384,389,393,408,410,417,419,420,430,450,
451,464,465,470,471,499,508,509,522,532,555,558,563,564,593,606,607,608,610,
611,615,617,651,668,669,670,671,673,674,677,696,707,719,720,724,748,750,766,
767,797],[1,2,3,4,5,6,7,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,36,43,44,45,49,50,51,52,53,54,55,56,57,73,74,75,76,77,78,79,80,81,84,87,88,
95,106,114,115,116,117,118,119,120,121,122,123,126,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,164,174,175,178,189,190,191,
192,195,203,207,208,209,210,211,236,239,240,241,242,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,263,264,267,268,269,270,296,297,303,304,305,
314,315,316,318,319,320,321,322,325,328,330,331,332,333,334,335,336,337,342,
343,344,348,349,352,371,377,378,380,381,382,385,386,387,389,398,408,412,414,
439,452,453,454,459,466,467,468,469,470,471,472,473,474,481,482,485,496,502,
508,509,510,512,520,528,531,554,560,565,566,592,606,607,608,609,612,613,623,
634,649,654,669,672,673,675,676,677,684,709,713,720,721,725,729,731,747,755,
768,776,778,798],[1,2,3,4,5,6,7,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,36,43,44,45,49,50,51,52,53,54,56,57,60,73,74,75,76,77,78,79,80,81,
84,87,88,95,106,114,115,116,117,118,119,120,121,122,123,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,164,174,175,178,188,
190,191,192,196,203,204,205,206,212,213,236,239,240,241,242,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,263,264,267,268,269,270,296,297,303,
304,305,312,313,314,317,319,320,321,322,325,329,330,331,332,333,334,335,340,
341,344,345,346,347,350,351,372,377,379,380,381,382,385,386,387,389,399,408,
413,415,439,452,453,455,460,466,467,468,469,470,471,472,473,474,483,484,485,
496,503,508,509,510,511,523,529,530,553,557,565,566,591,606,607,608,609,612,
613,622,639,648,653,668,672,674,675,676,677,683,708,712,719,722,725,728,730,
746,756,769,777,779,799],[1,2,3,4,5,6,7,8,9,10,16,18,19,23,24,25,26,27,28,31,
43,45,48,49,50,51,52,53,54,56,57,60,77,78,82,83,84,89,90,95,103,114,117,118,
119,120,121,123,128,129,131,132,135,136,144,164,185,186,187,188,190,191,192,
196,203,204,205,206,212,213,235,237,238,239,240,241,242,248,249,256,261,262,
263,296,303,304,305,317,319,320,330,331,344,345,346,372,379,388,389,390,398,
408,413,415,448,457,458,460,462,463,470,471,500,508,509,523,557,573,574,576,
591,606,607,608,620,621,648,668,674,677,682,684,708,719,721,723,746,759,772,
777,800],[1,2,3,4,5,6,7,8,9,10,16,18,19,23,24,25,26,27,28,31,43,45,48,49,50,
51,52,53,54,55,56,57,77,78,82,83,84,89,90,95,103,114,117,118,119,120,121,123,
128,129,131,132,135,136,145,164,185,186,187,189,190,191,192,195,203,207,208,
209,210,211,235,237,238,239,240,241,242,248,249,256,261,262,263,296,303,304,
305,318,319,320,330,331,335,336,337,371,378,388,389,390,399,408,412,414,448,
457,458,459,462,463,470,471,500,508,509,520,560,573,574,575,592,606,607,608,
620,621,649,669,673,677,682,683,709,720,722,723,747,758,771,776,801],[1,3,4,5,
6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,79,80,81,84,115,118,119,120,121,122,123,124,125,126,127,128,130,133,
134,137,138,139,140,141,142,143,144,145,146,147,148,149,164,165,166,171,178,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,239,240,243,
252,253,254,255,257,258,259,260,264,297,298,299,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,321,322,323,324,325,326,327,328,329,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,371,372,380,381,397,398,399,400,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,454,455,456,459,460,461,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,501,502,503,508,510,511,512,513,514,515,516,517,518,519,520,521,
522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,549,
550,553,554,555,556,557,558,559,560,561,562,567,568,569,570,571,572,575,576,
577,590,591,592,593,594,595,596,597,598,609,622,623,624,625,626,627,634,635,
636,637,638,639,640,641,642,643,648,649,650,651,652,653,654,655,656,657,658,
659,660,661,662,663,685,686,687,688,703,710,711,712,713,714,715,732,733,736,
737,741,742,743,752,757,764,775,788,793,802],[1,3,4,5,6,7,10,15,20,21,22,23,
24,25,26,29,30,31,44,49,50,51,52,53,54,55,56,57,58,59,60,61,62,79,80,81,84,
115,118,119,120,121,122,123,124,125,126,127,128,130,133,134,137,138,139,140,
141,142,143,144,145,146,147,148,149,164,165,166,171,178,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,239,241,252,253,254,255,257,258,
259,260,264,297,298,299,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,321,322,323,324,325,326,327,328,329,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,359,360,372,380,382,397,399,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,454,455,456,459,472,473,474,
479,480,481,482,483,484,485,501,503,508,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,550,554,557,558,559,575,590,591,592,593,594,595,596,597,598,607,609,
622,623,624,625,626,627,637,638,639,641,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,668,675,683,687,703,709,711,712,713,714,715,728,
736,741,742,743,746,750,751,754,755,758,775,779,782,783,786,791,803],[1,3,4,5,
6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,79,80,81,84,115,118,119,120,121,122,123,124,125,126,127,128,130,133,
134,137,138,139,140,141,142,143,144,145,146,147,148,149,164,165,166,171,178,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,240,242,252,
253,254,255,257,258,259,260,264,297,298,299,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,316,317,318,321,322,323,324,325,326,327,328,329,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,355,356,357,358,359,360,371,377,381,397,398,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,454,455,
456,460,472,473,474,479,480,481,482,483,484,485,501,502,508,510,511,512,513,
514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,
533,534,535,536,537,538,539,549,553,555,556,560,576,590,591,592,593,594,595,
596,597,598,606,609,622,623,624,625,626,627,634,635,636,640,648,649,650,651,
652,653,654,655,656,657,658,659,660,661,662,663,669,676,684,688,703,708,711,
712,713,714,715,729,737,741,742,743,747,748,749,753,756,759,775,778,780,781,
787,792,804],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,36,37,38,39,40,43,44,45,48,49,50,51,52,53,54,56,57,59,
62,66,69,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,95,103,105,
106,111,112,114,115,116,117,118,119,120,121,122,123,125,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,149,155,159,161,
166,169,172,173,174,175,176,177,179,180,181,182,183,184,185,186,190,191,192,
194,198,201,204,208,214,217,219,220,222,230,231,235,236,237,238,239,240,241,
242,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,272,291,299,300,301,303,304,305,306,310,
313,315,319,320,321,322,323,324,325,327,330,331,332,333,334,337,339,341,343,
346,353,356,358,360,368,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,392,393,395,398,399,401,402,403,404,408,410,417,
419,420,430,450,451,452,453,456,457,458,462,463,464,465,466,467,468,469,470,
471,472,473,474,479,481,483,494,495,496,497,498,499,500,502,503,504,508,509,
510,514,517,522,527,532,535,537,539,544,551,552,555,558,563,564,565,566,573,
574,578,579,580,581,582,583,593,603,606,607,608,609,610,611,612,613,615,617,
620,621,624,627,635,637,644,645,651,656,658,668,669,670,671,672,673,674,675,
676,677,678,682,683,684,690,692,693,694,696,697,698,707,715,719,720,721,722,
723,724,725,726,727,728,729,730,731,735,748,750,760,762,766,767,768,769,770,
771,772,773,780,783,785,789,797,805],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,43,44,45,48,49,
50,51,52,53,54,56,57,59,61,67,68,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,
87,88,89,90,95,103,105,106,111,112,114,115,116,117,118,119,120,121,122,123,
125,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,156,160,162,165,170,172,173,174,175,176,177,179,180,181,182,183,
184,185,186,190,191,192,194,197,202,205,207,215,216,218,221,222,230,231,235,
236,237,238,239,240,241,242,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,290,298,300,
301,303,304,305,307,311,312,316,319,320,321,322,323,324,325,327,330,331,332,
333,334,336,338,340,342,345,354,355,357,359,368,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,394,396,398,399,401,
402,403,404,408,409,416,418,421,431,450,451,452,453,456,457,458,462,463,464,
465,466,467,468,469,470,471,472,473,474,480,482,484,494,495,496,497,498,499,
500,502,503,505,508,509,510,513,516,521,526,533,534,536,538,545,551,552,556,
559,563,564,565,566,573,574,578,579,580,581,582,583,594,603,606,607,608,609,
610,611,612,613,614,616,620,621,625,626,636,638,644,645,652,657,659,668,669,
670,671,672,673,674,675,676,677,679,682,683,684,689,691,693,694,695,697,698,
706,714,719,720,721,722,723,724,725,726,727,728,729,730,731,734,749,751,761,
763,765,767,768,769,770,771,772,773,781,782,784,789,796,806],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,
38,39,40,43,44,45,48,49,50,51,52,53,54,56,57,60,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,95,103,105,106,111,112,114,115,116,117,118,119,
120,121,122,123,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,164,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,190,191,192,196,203,204,205,206,212,213,222,230,231,235,236,
237,238,239,240,241,242,244,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,261,262,263,264,265,266,267,268,269,270,296,297,300,301,302,303,
304,305,312,313,314,317,319,320,321,322,325,329,330,331,332,333,334,335,340,
341,344,345,346,347,350,351,368,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,385,386,387,388,389,390,398,399,401,402,403,404,408,413,415,432,
439,448,450,451,452,453,455,457,458,460,462,463,464,465,466,467,468,469,470,
471,472,473,474,483,484,485,494,495,496,497,498,499,500,502,503,508,509,510,
511,523,529,530,548,549,551,552,553,557,563,564,565,566,573,574,576,578,579,
580,581,582,583,591,603,606,607,608,609,610,611,612,613,620,621,622,639,640,
644,645,648,653,668,669,670,671,672,673,674,675,676,677,682,683,684,693,694,
697,698,708,712,719,720,721,722,723,724,725,726,727,728,729,730,731,746,753,
756,759,767,768,769,770,771,772,773,777,779,787,789,795,799,800,807],[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,36,37,38,39,40,43,44,45,48,49,50,51,52,53,54,55,56,57,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,95,103,105,106,111,112,114,115,116,117,
118,119,120,121,122,123,126,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,164,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,189,190,191,192,195,203,207,208,209,210,211,222,230,231,
235,236,237,238,239,240,241,242,244,245,246,247,248,249,250,251,252,253,254,
255,256,257,258,259,261,262,263,264,265,266,267,268,269,270,296,297,300,301,
302,303,304,305,314,315,316,318,319,320,321,322,325,328,330,331,332,333,334,
335,336,337,342,343,344,348,349,352,368,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,398,399,401,402,403,404,408,412,
414,432,439,448,450,451,452,453,454,457,458,459,462,463,464,465,466,467,468,
469,470,471,472,473,474,481,482,485,494,495,496,497,498,499,500,502,503,508,
509,510,512,520,528,531,548,550,551,552,554,560,563,564,565,566,573,574,575,
578,579,580,581,582,583,592,603,606,607,608,609,610,611,612,613,620,621,623,
634,641,644,645,649,654,668,669,670,671,672,673,674,675,676,677,682,683,684,
693,694,697,698,709,713,719,720,721,722,723,724,725,726,727,728,729,730,731,
747,754,755,758,767,768,769,770,771,772,773,776,778,786,789,794,798,801,808],[
1,2,3,4,5,6,7,10,11,12,16,18,19,23,24,25,26,27,28,29,30,31,32,33,43,45,50,51,
52,53,54,55,56,57,58,59,60,61,62,66,67,68,69,71,72,77,78,84,85,86,95,105,117,
118,119,120,121,123,128,129,130,131,132,135,136,142,143,144,145,146,147,164,
165,166,169,170,171,172,173,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,239,240,241,242,244,245,248,249,256,263,265,266,271,272,296,
303,304,305,317,318,319,320,323,324,330,331,334,335,336,337,338,339,340,341,
342,343,344,345,346,371,372,378,379,383,384,389,393,394,397,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,450,451,459,460,464,465,470,471,499,508,509,520,521,522,523,526,527,
528,529,532,533,549,550,555,556,557,558,559,560,563,564,590,591,592,593,594,
595,596,597,598,599,606,607,608,610,611,614,615,616,617,648,649,651,652,655,
668,669,670,671,673,674,677,687,688,695,696,703,706,707,708,709,719,720,724,
742,746,747,748,749,750,751,753,754,765,766,767,776,777,791,792,794,795,796,
797,809],[1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,20,26,27,29,30,31,32,33,34,40,
42,43,45,46,53,56,57,62,63,66,67,72,75,84,87,89,92,95,99,101,105,110,117,130,
131,133,136,137,140,153,157,158,159,164,165,166,167,169,170,171,181,191,198,
217,222,225,228,238,244,246,269,280,286,288,293,296,306,319,333,361,362,364,
376,397,406,419,430,431,432,443,450,462,466,476,489,491,506,535,541,543,562,
581,599,615,630,665,685,690,701,705,810],[1,2,3,4,5,6,9,10,11,12,13,16,17,18,
19,21,26,28,29,30,31,32,33,35,39,42,43,45,47,52,56,57,61,63,66,67,71,76,84,88,
90,93,95,98,102,105,109,117,130,132,134,135,138,139,154,157,158,160,164,165,
166,168,169,170,171,182,190,197,215,222,226,229,238,245,247,270,279,287,289,
292,296,307,320,332,361,362,365,375,397,405,418,430,431,432,442,451,463,467,
475,488,490,507,534,540,542,561,580,599,614,630,664,686,689,700,704,811],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,36,37,38,39,40,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,66,
67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,95,103,
105,106,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,155,156,159,160,161,162,164,165,166,169,170,171,172,173,174,175,176,
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,
215,216,217,218,219,220,221,222,230,231,235,236,237,238,239,240,241,242,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,290,291,296,297,298,299,300,301,302,303,
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,
368,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,396,397,398,399,401,402,403,404,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,439,448,450,451,452,453,454,455,456,457,458,459,460,462,463,464,465,
466,467,468,469,470,471,472,473,474,479,480,481,482,483,484,485,494,495,496,
497,498,499,500,501,502,503,504,505,508,509,510,511,512,513,514,515,516,517,
518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,
537,538,539,544,545,548,549,550,551,552,553,554,555,556,557,558,559,560,563,
564,565,566,573,574,575,576,578,579,580,581,582,583,590,591,592,593,594,595,
596,597,598,599,603,606,607,608,609,610,611,612,613,614,615,616,617,620,621,
622,623,624,625,626,627,634,635,636,637,638,639,640,641,644,645,648,649,650,
651,652,653,654,655,656,657,658,659,660,661,662,663,666,668,669,670,671,672,
673,674,675,676,677,678,679,682,683,684,687,688,689,690,691,692,693,694,695,
696,697,698,703,706,707,708,709,711,712,713,714,715,719,720,721,722,723,724,
725,726,727,728,729,730,731,734,735,736,737,741,742,743,746,747,748,749,750,
751,753,754,755,756,758,759,760,761,762,763,765,766,767,768,769,770,771,772,
773,775,776,777,778,779,780,781,782,783,784,785,786,787,789,791,792,794,795,
796,797,798,799,800,801,803,804,805,806,807,808,809,812],[1,2,3,4,5,6,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,53,56,57,62,63,64,65,66,67,72,73,74,75,76,
77,78,79,80,81,83,84,86,87,88,89,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,120,122,123,128,129,130,
131,132,133,134,136,137,140,142,149,151,153,155,156,157,158,159,160,164,165,
166,167,168,169,170,171,173,174,175,176,178,180,181,183,185,187,191,198,217,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,244,246,
248,250,251,253,256,257,258,263,264,266,268,269,270,276,278,279,280,282,283,
284,285,286,287,288,290,291,293,295,296,297,298,299,300,302,304,306,319,322,
331,333,339,353,361,362,364,365,366,367,368,369,370,373,376,383,386,387,390,
397,406,419,430,431,432,434,435,436,438,439,441,443,444,447,448,450,453,458,
462,464,466,469,470,472,476,479,486,487,489,491,492,497,501,506,517,532,535,
540,541,542,543,544,545,547,548,552,562,564,566,567,572,573,579,581,582,584,
587,599,605,615,627,630,632,633,643,644,664,665,666,678,685,690,696,699,701,
705,718,733,735,740,744,810,813],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,52,56,57,61,63,64,65,66,67,71,73,74,75,76,77,78,79,80,81,82,84,85,
87,88,90,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,121,122,123,128,129,130,131,132,133,134,135,138,
139,143,148,151,154,155,156,157,158,159,160,164,165,166,167,168,169,170,171,
172,174,175,177,178,179,182,184,186,187,190,197,215,222,223,224,225,226,227,
228,229,230,231,232,233,234,235,236,237,238,245,247,249,250,251,252,256,257,
259,263,264,265,267,269,270,275,277,279,280,282,283,284,285,286,287,289,290,
291,292,294,296,297,298,299,301,302,303,307,320,321,330,332,338,355,361,362,
364,365,366,367,368,369,370,374,375,384,385,387,390,397,405,418,430,431,432,
433,435,436,437,439,440,442,445,446,448,451,452,457,463,465,467,468,471,473,
475,480,486,487,488,490,492,498,501,507,516,533,534,540,541,542,543,544,545,
546,548,551,561,563,565,568,571,574,578,580,583,585,586,599,604,614,626,630,
632,633,642,645,664,665,666,679,686,689,695,699,700,704,718,732,734,739,745,
811,814],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,44,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,70,79,80,81,84,91,115,118,119,120,121,122,123,124,
125,126,127,128,130,133,134,137,138,139,140,141,142,143,144,145,146,147,148,
149,163,164,165,166,171,178,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,239,240,242,243,252,253,254,255,257,258,259,260,264,273,297,
298,299,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
321,322,323,324,325,326,327,328,329,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
371,372,377,380,381,397,398,399,400,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,454,455,456,459,460,461,472,
473,474,475,476,477,478,479,480,481,482,483,484,485,501,502,503,508,510,511,
512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,549,550,553,554,555,556,557,558,559,560,
561,562,567,568,569,570,571,572,575,576,577,590,591,592,593,594,595,596,597,
598,606,609,618,622,623,624,625,626,627,629,634,635,636,637,638,639,640,641,
642,643,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,669,
676,680,684,685,686,687,688,703,708,710,711,712,713,714,715,716,729,732,733,
736,737,741,742,743,747,748,749,752,753,756,757,759,764,775,778,780,781,787,
788,790,792,793,802,804,815],[1,3,4,5,6,7,10,15,20,21,22,23,24,25,26,29,30,31,
44,49,50,51,52,53,54,55,56,57,58,59,60,61,62,70,79,80,81,84,91,115,118,119,
120,121,122,123,124,125,126,127,128,130,133,134,137,138,139,140,141,142,143,
144,145,146,147,148,149,163,164,165,166,171,178,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,239,240,241,243,252,253,254,255,257,258,
259,260,264,273,297,298,299,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,321,322,323,324,325,326,327,328,329,332,333,334,335,336,
337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,358,359,360,371,372,380,381,382,397,398,399,400,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,454,455,
456,459,460,461,472,473,474,475,476,477,478,479,480,481,482,483,484,485,501,
502,503,508,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,549,550,553,554,555,
556,557,558,559,560,561,562,567,568,569,570,571,572,575,576,577,590,591,592,
593,594,595,596,597,598,607,609,619,622,623,624,625,626,627,628,634,635,636,
637,638,639,640,641,642,643,648,649,650,651,652,653,654,655,656,657,658,659,
660,661,662,663,668,675,681,683,685,686,687,688,703,709,710,711,712,713,714,
715,717,728,732,733,736,737,741,742,743,746,750,751,752,754,755,757,758,764,
775,779,782,783,786,788,790,791,793,802,803,816],[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]],
0,[[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],[1,1,2,1],[1,1,2,1],[1,3,1],[1,2,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,1,3,1],[1,6,1,4,3,1],[1,6,1,4,3,1],[1,4,3,1,3,3,
1],[1,4,3,1,3,3,1],[1,2,5,2,2,2,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,
1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,5,1,1,1,1],[1,4,1,1,2,1],[1,5,1,2,
1],[1,2,1,2,1,1],[1,2,1,2,1,1],[1,2,1,2,1,1],[1,2,1,1,1,1,1],[1,1,1,1],[1,4,
1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,2,2,1],[1,2,1,1,1],[1,4,
1],[1,1,1,2,1],[1,1,3,1],[1,1,1],[1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,
1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,7,1,3,2,1,1],[1,7,1,3,
2,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,
1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,7,1,3,1,1,1,1],[1,7,1,3,1,1,1,
1],[1,7,1,3,2,1,1],[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,
3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,
1],[1,10,5,10,10,15,5,10,1],[1,10,5,10,10,15,5,10,1],[1,6,9,1,1,9,9,6,9,3,3,9,
1],[1,6,1,4,3,1,3,3,1],[1,4,3,1,3,1,3,3,1,3,3,1],[1,4,3,1,3,1,3,3,1,3,3,1],[1,
6,1,4,4,3,1,2,1],[1,6,1,4,4,3,1,2,1],[1,2,5,4,2,2,2,1,1,1,1,1],[1,4,3,2,2,1,3,
3,1,1,1,1],[1,4,3,2,2,1,3,3,1,1,1,1],[1,2,1,2,2,2,1,1,2,1],[1,2,1,1,5,1,1,1,1,
1],[1,10,1,2,4,4,5,1,1,4,1,1],[1,2,9,2,4,4,4,1,2,4,1,1],[1,4,7,2,1,2,5,2,3,1,
1,2,2,1,1],[1,4,7,2,1,5,2,2,3,1,1,2,2,1,1],[1,8,3,2,1,4,3,5,1,1,2,2,1,1],[1,8,
3,2,4,1,3,5,1,1,2,2,1,1],[1,6,5,1,1,4,2,2,2,3,1,1,2,2,1,1],[1,6,5,1,1,4,2,2,2,
3,1,1,2,2,1,1],[1,6,5,1,1,1,1,3,3,5,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,1],[1,5,3,
2,1,1,1,1],[1,4,5,1,2,2,1,1,1,1],[1,9,2,2,6,6,1,1],[1,9,4,12,1,1],[1,9,4,12,1,
1],[1,9,1,3,9,3,1,1],[1,9,1,3,9,3,1,1],[1,9,2,1,1,3,3,6,1,1],[1,9,2,2,6,6,1,
1],[1,9,4,12,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,3,9,3,1,1],[1,9,1,3,9,3,1,1],[
1,9,2,1,1,3,3,6,1,1],[1,1,2,2,2,2,1,1],[1,1,2,1,1,2,1,1,1,1],[1,3,2,1,1,1,3,1,
1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,3,1,3,1,1],[1,
3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,4,1,
3,1,1],[1,3,4,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,3,1,1],[
1,9,1,3,1,1],[1,1,5,1,1,1],[1,6,5,5,1,1,1,1,1],[1,1,1,1,1,1],[1,5,5,1,1,1],[1,
5,5,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,9,4,3,3,1,4,3,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,
6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,
1,1],[1,6,1,4,4,3,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,1,1,3,1,1,3,1],[1,12,3,1,
10,9,3,1,3,3,3,3,1,1],[1,12,3,1,10,9,3,1,3,3,3,3,1,1],[1,4,11,1,4,6,6,3,1,2,1,
1,2,3,1,2,1,2,1,1],[1,4,11,1,6,4,6,3,1,2,1,1,2,3,1,2,1,2,1,1],[1,7,6,1,1,3,3,
2,2,1,3,1,1,1,1],[1,7,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,13,1,1,6,4,1,3,2,1,1],[1,
3,6,1,3,1,3,2,3,3,1,1,1,1],[1,3,6,1,3,1,3,2,3,3,1,1,1,1],[1,7,2,1,3,3,1,2,1,2,
3,1,1,1,1],[1,7,2,1,3,3,1,2,1,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,
2,1,1,1,1,3,2,1,1,1,1,1],[1,4,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,4,3,1,1,3,3,1,1,1,
3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,13,13,1],[1,13,13,1],[1,4,3,6,4,3,6,1],[1,4,6,
3,4,3,6,1],[1,7,3,3,1,1,1,1,9,1],[1,1,12,4,9,1],[1,1,3,3,6,1,1,2,9,1],[1,4,9,
1,3,9,1],[1,4,9,1,3,9,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,12,4,1],[
1,1,3,9,1,3,1],[1,1,3,9,1,3,1],[1,7,6,1,1,2,1],[1,4,3,6,1,1,2,1],[1,4,3,6,1,1,
2,1],[1,4,9,1,3,1],[1,4,3,6,1,1,2,1],[1,4,3,6,1,1,2,1],[1,1,3,9,1,3,1],[1,1,3,
9,1,3,1],[1,4,9,1,3,1],[1,1,3,9,1,3,1],[1,1,3,9,1,3,1],[1,1,3,1,3,1],[1,1,3,1,
3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,4,1,3,1],[1,4,1,3,1],[1,4,1,3,1],[1,4,1,3,
1],[1,18,1,6,12,12,9,2,3,3,18,9,6,9,1],[1,12,11,1,3,10,1,16,9,6,21,5,3,12,9,3,
1,6,3,3,3,3,1,1,1,3,3,3,3,1],[1,12,11,1,3,1,10,9,16,6,21,5,12,3,9,1,3,6,3,3,3,
3,1,1,1,3,3,3,3,1],[1,14,5,4,2,4,10,10,17,5,1,10,4,4,4,1,2,1,1,2,1,2,1],[1,14,
5,4,2,10,4,10,17,1,5,10,4,4,4,1,2,1,1,2,1,2,1],[1,6,13,4,2,1,1,11,11,8,9,3,3,
10,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1],[1,10,1,8,2,4,4,5,1,1,4,1,4,2,1,1],[1,10,1,
8,2,4,4,5,1,1,4,1,4,2,1,1],[1,10,1,2,4,4,5,1,1,4,1,4,1,2,1],[1,10,9,2,2,2,4,4,
4,4,4,5,1,1,2,4,4,4,4,4,4,1,2,1,1,1,2,2,1],[1,8,7,1,7,4,1,2,5,2,5,1,1,1,2,2,4,
2,2,1,4,3,1,1,1,1,1,1,1,1],[1,8,7,1,7,1,4,5,2,2,5,1,1,1,2,4,2,2,2,4,1,3,1,1,1,
1,1,1,1,1],[1,6,5,2,6,2,1,1,3,3,5,1,1,1,1,1,1,1,3,3,6,1,1,1,1,1,1,1,1],[1,6,1,
2,2,4,3,1,3,3,2,2,1,1,1,1],[1,6,9,4,4,4,4,3,1,2,3,4,3,2,1,1,1,2,2,1],[1,9,2,2,
9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,
2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,4,9,12,1,1,1],[1,15,2,2,9,6,8,6,1,
6,1,2,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,9,6,
2,2,9,6,6,2,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,
1,6,1,2,1],[1,3,12,2,1,1,9,1,3,4,6,3,3,1,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,4,3,6,
3,3,1,3,3,1,1,1,1],[1,15,2,2,9,2,6,6,6,1,6,1,2,1],[1,15,2,2,9,2,6,6,6,1,6,1,2,
1],[1,15,4,9,14,6,1,6,1,2,1],[1,15,4,9,14,6,1,6,1,2,1],[1,6,9,2,1,1,9,1,1,3,3,
6,3,3,1,3,3,1,1,1,1],[1,15,2,1,1,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,15,1,3,9,1,
9,4,3,3,1,3,3,1,1,1,1],[1,15,1,3,9,1,9,4,3,3,1,3,3,1,1,1,1],[1,15,1,1,2,9,3,3,
6,1,1,3,3,1,3,3,1,1,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,1,2,2,9,2,2,1,6,6,1,1],[
1,10,9,2,2,9,6,6,6,6,2,2,1,6,6,1,1,1,1],[1,19,2,1,1,9,3,3,3,3,12,2,1,1,1,3,3,
6,1,1,1,1],[1,7,2,2,3,2,2,8,1,1,3,1,2,1],[1,7,2,2,3,2,8,2,1,1,3,1,2,1],[1,1,6,
2,2,3,2,2,2,6,1,1,3,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,3,4,2,1,1,3,1,
1,2,3,1,4,1,1,3,1,1,1,1],[1,3,4,2,1,1,3,1,1,2,3,4,1,1,1,3,1,1,1,1],[1,3,1,4,8,
1,3,4,1,2,1,1],[1,3,4,1,8,1,3,4,1,2,1,1],[1,13,1,1],[1,6,5,1,5,5,1,5,1,1,1,1,
1,1,1],[1,6,5,10,5,1,5,1,1,1,1,2,1],[1,6,5,10,5,1,5,1,1,1,1,2,1],[1,6,9,4,1,1,
9,9,6,9,12,3,3,9,1,4,1,3,1],[1,6,9,4,1,1,9,9,6,9,12,3,3,9,1,4,1,3,1],[1,10,5,
4,10,10,15,4,8,5,10,1,4,1,1,2,1],[1,10,5,4,10,10,15,4,8,5,10,1,4,1,1,2,1],[1,
6,9,16,1,1,9,9,6,9,3,3,9,4,4,12,1,1],[1,4,15,4,6,1,9,6,6,3,8,4,1,3,6,6,3,1,4,
3,2,1,1],[1,4,15,4,6,1,6,9,6,3,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,10,9,4,3,3,3,1,9,
3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,3,3,1,3,3,9,9,4,4,4,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,12,7,4,6,4,3,9,9,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,12,
7,4,6,3,4,9,9,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,16,3,4,6,12,1,3,9,8,4,3,1,6,6,
3,1,4,3,2,1,1],[1,16,3,4,6,1,12,3,9,8,4,3,1,6,6,3,1,4,3,2,1,1],[1,6,13,4,3,3,
4,6,6,6,3,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,6,13,4,3,3,4,6,6,6,3,4,4,4,1,3,6,
6,3,1,4,3,1,1,1,1],[1,4,3,4,6,6,1,3,3,4,1,3,3,1,4,3,1,1],[1,4,3,4,6,6,1,3,3,4,
1,3,3,1,4,3,1,1],[1,4,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,4,3,4,1,3,1,3,3,4,1,
3,3,1,4,1,1,1],[1,6,1,4,4,3,4,1,3,3,4,1,1,1],[1,13,4,3,6,8,4,1,3,3,4,3,1,1],[
1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,13,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,12,11,1,1,
3,10,6,4,6,9,3,2,1,3,2,3,3,4,6,3,3,1,2,3,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,12,
11,1,1,3,10,4,6,6,9,3,2,1,3,2,3,3,4,6,3,3,1,2,3,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,13,1,3,6,4,1,1,3,3,2,3,3,1,1,1,1],[1,27,4,3,6,54,27,36,4,3,6,12,9,18,1,1],[
1,27,4,6,3,27,54,36,4,3,6,12,9,18,1,1],[1,27,7,3,3,27,27,63,1,1,1,1,9,3,3,3,3,
27,1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,12,12,9,4,12,
1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,3,9,3,9,9,1,3,3,9,1,1],[1,9,1,3,9,3,9,9,
1,3,3,9,1,1],[1,9,4,3,6,3,6,3,9,1,1,2,3,6,3,1,1],[1,9,4,3,6,3,6,3,9,1,1,2,3,6,
3,1,1],[1,9,7,6,6,6,9,1,1,2,6,3,3,1,1],[1,9,4,3,6,3,6,3,9,1,1,2,3,6,3,1,1],[1,
9,4,3,6,3,6,3,9,1,1,2,3,6,3,1,1],[1,9,13,12,9,13,1,12,1,1],[1,9,13,12,9,13,1,
12,1,1],[1,9,4,6,3,6,6,9,4,3,6,1,6,6,1,1],[1,9,4,3,6,6,6,9,4,3,6,1,6,6,1,1],[
1,9,4,3,6,3,3,6,9,4,3,6,1,3,3,6,1,1],[1,9,4,6,3,3,3,6,9,4,3,6,1,3,3,6,1,1],[1,
9,1,3,3,6,9,3,9,1,1,2,9,1,3,9,1,1],[1,9,1,3,3,6,9,3,9,1,1,2,9,1,3,9,1,1],[1,9,
7,3,3,3,3,6,9,1,1,1,1,9,1,3,3,3,3,1,1],[1,9,1,12,12,9,4,9,1,12,1,1],[1,9,1,3,
3,6,3,3,6,9,1,1,2,9,1,3,3,6,1,1],[1,9,4,9,9,3,9,1,3,9,1,9,3,1,1],[1,9,4,9,9,3,
9,1,3,9,1,9,3,1,1],[1,3,4,3,6,1,6,6,4,3,6,3,2,2,1,1],[1,3,4,6,3,1,6,6,4,3,6,3,
2,2,1,1],[1,3,4,3,6,1,6,3,3,4,3,6,3,1,1,2,1,1],[1,3,4,6,3,1,6,3,3,4,3,6,3,1,1,
2,1,1],[1,3,7,3,3,1,6,3,3,1,1,1,1,9,3,1,1,1,1,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,
1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,1,12,
9,3,9,4,1,3,1,1],[1,9,1,12,9,3,9,4,1,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,
9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,4,3,6,12,9,1,
1,2,1,3,1,1],[1,9,7,6,12,9,1,1,2,1,3,1,1],[1,9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,
9,4,3,6,9,3,9,1,1,2,1,3,1,1],[1,9,4,9,9,3,9,1,3,1,3,1,1],[1,9,1,3,9,9,3,9,1,3,
1,3,1,1],[1,9,1,3,9,9,3,9,1,3,1,3,1,1],[1,9,1,3,9,9,3,9,1,3,1,3,1,1],[1,9,1,3,
9,9,3,9,1,3,1,3,1,1],[1,9,4,9,9,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,3,1,1,1],[1,
9,1,3,3,9,1,3,3,1,1,1],[1,9,1,3,3,9,1,3,3,1,1,1],[1,9,1,3,3,9,1,3,3,1,1,1],[1,
9,4,3,9,1,3,3,1,1,1],[1,9,4,3,9,1,3,3,1,1,1],[1,9,4,3,9,1,3,3,1,1,1],[1,9,4,3,
9,1,3,3,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,
6,5,1],[1,22,5,12,6,12,18,10,21,2,7,3,10,12,12,18,9,6,1,6,3,6,9,6,1,3,3,1],[1,
22,5,12,6,18,12,10,21,2,3,7,10,12,12,18,9,6,1,6,3,6,9,6,1,3,3,1],[1,18,17,2,
10,2,10,10,22,22,12,37,5,5,14,14,18,6,6,12,12,10,10,4,4,1,6,6,10,1,1,2,2,2,1,
1,2,2,2,1,2,1,1,6,6,6,6,6,6,10,2,2,1,1,2,1,2,2,2,1],[1,10,9,2,18,2,4,4,4,4,4,
5,1,1,2,4,4,4,4,4,4,1,4,4,2,2,2,1,1,1,2,2,1,1,1,1],[1,18,9,2,2,6,12,12,4,4,4,
9,2,3,3,2,4,4,4,4,18,4,9,2,4,6,1,9,1,2,2,2,4,4,1,1,1,2,2,1],[1,14,5,12,2,4,10,
10,17,5,1,10,4,4,4,1,2,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,14,5,12,2,10,4,10,17,1,5,
10,4,4,4,1,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,
9,1,1,3,1],[1,15,6,2,2,9,9,9,6,8,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,2,2,9,9,
9,8,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,2,6,6,9,1,6,6,1,2,2,
1,1,1,1],[1,15,6,2,2,9,9,9,6,8,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,21,2,2,9,18,2,
2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,12,9,2,2,9,18,2,2,6,6,6,6,9,1,6,6,1,2,2,1,
1,1,1],[1,12,9,2,2,9,18,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,21,4,9,18,16,12,
9,1,12,1,4,1,2,1],[1,21,4,9,18,16,12,9,1,12,1,4,1,2,1],[1,21,2,2,9,18,2,2,6,6,
6,6,9,1,6,6,1,2,2,1,1,1,1],[1,22,9,2,2,24,27,6,10,6,6,14,2,9,1,14,6,18,6,1,1,
1,4,6,2,2,1,2,1],[1,22,9,2,2,24,27,10,6,6,6,2,14,9,1,14,18,6,6,1,1,1,4,6,2,2,
1,2,1],[1,10,21,2,2,18,6,18,9,6,6,4,6,6,2,2,12,9,1,2,12,6,6,12,6,1,1,1,4,6,2,
2,1,2,1],[1,10,21,2,2,6,18,18,9,6,6,4,6,6,2,2,12,9,1,2,12,6,6,12,6,1,1,1,4,6,
2,2,1,2,1],[1,6,25,2,1,1,12,12,18,9,1,1,4,4,3,3,12,2,3,3,4,4,9,1,3,3,4,4,3,3,
6,6,6,3,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,10,9,2,2,1,9,9,6,6,6,6,2,2,9,
1,6,6,2,2,6,6,1,1,1,6,6,1,1,1,1],[1,10,9,2,2,18,9,6,6,6,6,2,2,9,1,6,6,1,1,1,1,
1,1,1],[1,10,9,2,2,9,9,9,6,6,6,6,2,2,9,1,6,6,1,1,1,1,1,1,1],[1,3,18,1,4,8,9,1,
9,6,12,24,3,9,4,1,2,3,1,3,4,3,6,3,1,1],[1,3,18,4,1,8,9,1,9,12,6,24,3,9,4,1,2,
3,1,3,4,3,6,3,1,1],[1,12,3,4,1,8,10,9,3,1,3,12,3,4,1,2,3,3,1,4,3,1,1,1],[1,12,
3,1,4,8,10,9,3,1,3,12,3,4,1,2,3,3,1,4,3,1,1,1],[1,3,6,4,1,8,3,1,3,4,3,6,3,4,1,
2,3,1,3,4,1,3,1,1],[1,3,6,1,4,8,3,1,3,4,3,6,3,4,1,2,3,1,3,4,1,3,1,1],[1,1,5,4,
4,3,5,4,4,1,4,3,4,1,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,
9,4,9,12,9,1,1,1,1],[1,7,6,2,2,1,3,3,2,2,2,8,6,3,1,1,1,2,2,3,3,1,2,2,1,3,1,1,
1,1],[1,7,6,2,2,1,3,3,2,2,8,2,6,3,1,1,1,2,2,3,3,1,2,2,1,3,1,1,1,1],[1,7,6,2,2,
9,3,3,2,2,8,2,6,9,1,1,1,3,3,6,6,1,2,2,3,3,1,1,1,1],[1,7,6,2,2,9,3,3,2,2,2,8,6,
9,1,1,1,3,3,6,6,1,2,2,3,3,1,1,1,1],[1,10,5,10,10,15,16,5,10,1,1],[1,10,5,10,
10,15,16,5,10,1,1],[1,6,5,1,25,5,1,5,5,5,1,1,1,5,1,1,1,2,2,1,1,1,1],[1,16,12,
12,4,4,16,16,18,72,12,12,16,1],[1,7,3,12,18,1,1,4,1,6,9,27,1,3,1,2,3,3,1],[1,
7,12,3,18,1,1,1,4,6,9,27,1,3,1,2,3,3,1],[1,7,3,3,27,1,1,1,1,9,9,9,9,9,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,16,3,3,18,13,1,1,1,6,18,9,1,1,2,3,3,3,1],[1,16,3,3,18,
1,13,1,1,6,9,18,1,1,2,3,3,3,1],[1,7,3,3,27,1,1,1,1,9,27,9,1,3,3,3,3,1],[1,7,3,
3,27,1,1,1,1,9,9,27,1,3,3,3,3,1],[1,7,3,3,1,1,1,1,9,9,1,3,3,3,3,1],[1,7,3,3,1,
1,1,1,9,9,1,3,3,3,3,1],[1,4,3,15,7,3,6,6,1,1,2,1],[1,4,15,3,7,3,6,6,1,1,2,1],[
1,4,6,3,9,4,3,3,6,6,1,1,2,1],[1,4,3,6,9,4,3,3,6,6,1,1,2,1],[1,4,18,1,3,9,3,3,
3,1,1,1,1,1],[1,4,18,1,3,3,9,3,3,1,1,1,1,1],[1,13,9,13,3,3,3,1,1,1,1,1],[1,13,
9,13,3,3,3,1,1,1,1,1],[1,1,12,18,4,3,3,3,1,1,1,1,1],[1,1,12,18,4,3,3,3,1,1,1,
1,1],[1,1,3,27,1,3,3,3,3,1,1,1,1,1],[1,1,3,27,1,3,3,3,3,1,1,1,1,1],[1,18,1,16,
6,12,12,9,16,2,3,3,18,9,12,6,9,8,12,1,1],[1,18,1,16,6,12,12,9,16,2,3,3,18,9,
12,6,9,8,12,1,1],[1,18,1,4,6,12,12,9,4,2,3,3,18,9,12,6,9,1,4,1,3,1],[1,24,15,
4,3,9,1,28,9,30,6,45,12,4,12,15,30,3,9,3,9,18,9,9,9,9,1,12,12,4,3,1,3,9,9,9,9,
1,3,3,4,3,1,3,3,1],[1,24,15,4,3,9,28,1,30,9,6,45,12,4,12,15,3,30,9,9,3,18,9,9,
9,9,1,12,12,4,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,16,23,4,3,9,3,10,27,28,18,
33,4,8,4,4,8,5,16,9,27,3,9,18,9,9,9,9,1,4,8,4,8,4,1,3,3,9,9,9,9,1,1,2,1,2,4,3,
1,1,1,2,2,1],[1,16,23,4,3,9,10,3,28,27,18,33,4,8,4,4,8,5,9,16,27,9,3,18,9,9,9,
9,1,4,8,4,8,4,1,3,3,9,9,9,9,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,10,9,4,4,12,6,1,3,3,
9,9,4,4,4,3,1,3,3,3,3,3,3,9,12,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,10,
9,4,4,12,6,3,1,9,3,9,4,4,4,1,3,3,3,3,3,3,9,3,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,
3,1,1,1,1],[1,6,25,4,4,12,12,12,3,16,4,1,6,3,12,3,6,8,4,1,3,3,6,6,1,4,3,1,2,
1],[1,16,15,4,1,15,1,12,9,6,6,9,8,8,4,3,1,3,6,12,6,6,6,6,3,3,1,4,4,4,1,3,3,3,
3,3,3,2,2,1,4,3,1,1,1,1],[1,16,15,4,1,15,12,1,6,9,6,9,8,8,4,3,1,3,6,6,12,6,6,
3,6,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,22,5,4,12,6,10,12,10,21,8,4,
8,3,5,10,12,12,12,3,6,1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,22,5,4,12,6,12,
10,10,21,8,4,8,5,3,10,12,12,12,3,6,1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,6,
21,4,12,6,1,1,15,15,12,9,8,12,3,3,12,6,6,12,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,
3,4,3,1,1,1,1],[1,6,21,4,12,6,1,1,15,15,12,9,8,12,3,3,12,6,6,12,12,3,3,3,1,4,
4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,12,11,4,1,3,10,1,16,9,6,21,12,8,5,3,12,
9,3,1,6,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,12,11,4,1,3,1,10,9,
16,6,21,12,8,5,12,3,9,1,3,6,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,
6,1,4,6,6,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,6,21,16,12,6,1,1,15,15,12,9,
16,3,3,12,6,6,12,12,3,3,3,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,27,4,6,3,27,18,
18,27,4,3,6,27,3,18,18,1,9,3,1],[1,27,4,3,6,27,18,18,27,4,3,6,27,3,18,18,1,9,
3,1],[1,9,18,4,3,6,27,6,6,6,6,12,9,18,4,3,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[
1,9,18,4,6,3,27,6,6,6,6,12,9,18,4,3,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,27,
13,27,36,27,13,27,3,36,1,9,3,1],[1,27,13,27,36,27,13,27,3,36,1,9,3,1],[1,27,1,
3,3,6,27,3,3,6,9,9,6,9,9,9,1,1,2,9,9,9,9,1,1,1,3,3,6,3,3,9,9,1,3,3,3,1,1,1,
1],[1,9,4,3,6,9,6,6,9,4,3,6,9,1,6,6,1,1,1,1],[1,9,4,6,3,9,6,6,9,4,3,6,9,1,6,6,
1,1,1,1],[1,9,13,9,12,9,13,9,1,12,1,1,1,1],[1,9,13,9,12,9,13,9,1,12,1,1,1,1],[
1,9,1,12,9,12,9,4,9,9,1,12,1,1,1,1],[1,9,4,6,3,27,6,6,9,4,3,6,9,1,6,6,1,3,1,
1],[1,9,4,3,6,27,6,6,9,4,3,6,9,1,6,6,1,3,1,1],[1,15,4,6,3,9,6,8,21,12,4,3,6,6,
9,1,6,6,4,10,1,1,6,1,2,1],[1,15,4,3,6,9,8,6,12,21,4,3,6,6,9,1,6,4,6,10,1,1,6,
1,2,1],[1,9,6,4,6,3,9,6,6,2,12,9,6,6,4,3,6,6,9,1,6,6,2,6,2,4,1,1,6,1,2,1],[1,
9,6,4,3,6,9,6,6,2,12,9,6,6,4,3,6,6,9,1,6,6,2,6,2,4,1,1,6,1,2,1],[1,3,12,4,3,6,
9,1,3,4,6,6,6,6,3,12,4,3,6,3,3,9,1,3,3,2,3,1,2,4,2,6,1,1,3,3,1,1,1,1],[1,3,12,
4,6,3,9,1,4,3,6,6,6,6,12,3,4,3,6,3,3,9,1,3,3,2,1,3,2,4,2,6,1,1,3,3,1,1,1,1],[
1,12,27,4,6,3,27,6,7,27,54,36,15,6,4,3,6,18,27,1,12,9,18,3,6,2,8,1,6,6,3,1,1,
1,1],[1,12,27,4,3,6,27,7,6,54,27,36,6,15,4,3,6,27,18,1,12,9,18,3,2,6,8,1,6,6,
3,1,1,1,1],[1,39,4,6,3,27,4,3,27,54,42,6,12,3,4,3,6,9,18,18,12,1,9,18,3,1,3,4,
2,6,1,3,3,6,3,1,1,1,1],[1,39,4,3,6,27,3,4,54,27,42,6,3,12,4,3,6,18,9,18,12,1,
9,18,3,3,1,4,2,6,1,3,3,6,3,1,1,1,1],[1,39,7,3,3,27,3,3,27,27,70,15,3,3,1,1,1,
1,9,9,9,27,3,3,3,3,1,27,3,3,3,1,1,4,4,1,3,3,3,3,3,1,1,1,1],[1,9,1,12,9,12,9,4,
9,12,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,
9,1,12,9,12,9,4,9,12,1,1,1],[1,27,1,12,27,12,18,6,9,18,4,18,9,2,12,6,1,6,1,2,
1],[1,27,1,12,27,12,18,6,9,18,4,18,9,2,12,6,1,6,1,2,1],[1,27,4,3,6,27,3,6,9,
18,18,9,1,1,2,9,18,1,1,3,6,3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,3,6,9,18,18,9,1,
1,2,9,18,1,1,3,6,3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,3,6,9,18,18,9,1,1,2,9,18,1,
1,3,6,3,6,1,3,3,1,1,1,1],[1,27,4,3,6,27,3,6,9,18,18,9,1,1,2,9,18,1,1,3,6,3,6,
1,3,3,1,1,1,1],[1,27,7,6,27,6,30,27,1,1,2,27,1,1,6,6,6,1,3,3,1,1,1,1],[1,16,
15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,16,15,10,5,15,15,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,
10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,5,15,6,20,10,15,6,5,
10,6,5,1,1],[1,25,10,15,15,5,6,20,10,15,6,5,10,6,5,1,1],[1,26,17,2,26,6,18,18,
22,22,12,41,2,7,7,14,14,18,6,6,20,20,10,26,18,4,9,10,10,10,4,1,1,2,6,2,2,3,3,
2,6,6,1,2,9,1,6,6,10,10,6,6,10,2,4,4,1,2,2,3,3,2,3,3,1,1,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,6,9,4,4,32,1,1,9,9,6,9,12,12,3,3,9,16,1,1,8,8,24,4,4,1,3,3,4,4,1,1,
2,1],[1,22,21,2,2,1,9,24,6,18,18,27,10,6,4,6,6,2,14,12,9,9,6,18,9,1,14,2,12,
18,6,12,2,2,6,6,6,6,9,1,1,1,4,4,6,6,2,6,6,6,6,6,2,2,2,2,1,1,1,2,2,6,1,1,1,2,2,
1],[1,22,21,2,2,1,9,24,18,6,18,27,6,10,4,6,6,14,2,12,9,9,6,18,9,1,14,2,12,6,
18,12,2,2,6,6,6,6,9,1,1,1,4,4,6,6,2,6,6,6,6,6,2,2,2,2,1,1,1,2,2,6,1,1,1,2,2,
1],[1,10,33,2,2,18,24,24,36,9,6,6,4,4,6,6,2,2,12,12,18,36,9,1,2,2,12,12,6,6,
12,12,6,6,9,1,1,1,4,4,6,6,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1],[1,22,21,2,2,9,9,24,
6,18,18,27,6,10,4,6,6,14,2,12,9,9,18,18,9,1,14,2,12,6,18,12,6,6,9,1,1,1,4,4,6,
6,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1],[1,22,21,2,2,9,9,24,18,6,18,27,10,6,4,6,6,2,
14,12,9,9,18,18,9,1,14,2,12,18,6,12,6,6,9,1,1,1,4,4,6,6,1,1,2,2,2,2,1,2,2,2,2,
1,1,1,1],[1,34,9,2,2,18,24,24,45,10,10,6,6,14,14,9,9,36,9,1,14,14,18,18,6,6,9,
1,1,1,4,4,6,6,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1],[1,10,9,2,2,10,18,18,9,6,6,6,6,2,
2,9,18,1,6,6,2,2,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1,1,1,1,1],[1,37,5,4,4,3,18,12,
12,12,12,36,5,4,4,1,9,9,4,12,12,18,3,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,21,
4,27,18,16,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,21,4,27,18,16,12,9,9,9,1,12,9,
1,4,3,2,1,1,1,1],[1,12,27,4,1,8,3,9,10,18,12,18,9,3,12,6,24,1,4,3,12,6,3,9,12,
18,9,4,1,2,3,3,6,3,6,12,3,1,3,3,9,4,4,4,1,3,6,3,1,3,3,3,3,3,3,4,1,3,3,1,1,1,
1],[1,12,27,1,4,8,3,9,10,12,18,18,9,3,6,12,24,4,1,3,6,12,3,9,12,18,9,4,1,2,3,
3,6,3,12,6,3,1,3,3,9,4,4,4,1,3,6,3,1,3,3,3,3,3,3,4,1,3,3,1,1,1,1],[1,30,5,20,
10,20,10,10,25,16,5,5,10,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,30,5,20,10,10,
20,10,25,16,5,5,10,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,81,16,12,12,324,324,
432,4,4,16,16,18,72,36,36,144,144,162,648,12,12,16,36,36,48,1,1],[1,9,16,12,
12,6,6,18,18,4,4,16,16,18,72,1,9,12,12,12,12,12,12,16,2,2,6,6,1,1],[1,9,16,12,
12,3,3,6,18,9,9,4,4,16,16,18,72,1,9,3,3,3,3,6,6,6,6,6,6,12,12,16,1,1,2,3,3,6,
1,1],[1,27,16,3,3,18,9,9,54,45,27,1,13,1,1,6,9,18,3,3,6,9,9,54,36,9,1,1,2,3,3,
3,9,9,9,3,3,6,1,1],[1,27,16,3,3,18,9,9,54,45,27,13,1,1,1,6,18,9,3,3,6,9,9,54,
9,36,1,1,2,3,3,3,9,9,9,3,3,6,1,1],[1,27,7,3,12,18,9,36,54,18,27,1,1,4,1,6,9,
27,3,9,36,9,54,9,9,1,3,1,2,3,3,3,6,9,9,3,9,1,1],[1,27,7,12,3,18,36,9,54,18,27,
1,1,1,4,6,9,27,3,9,9,36,54,9,9,1,3,1,2,3,3,3,6,9,9,3,9,1,1],[1,27,7,3,3,27,9,
9,81,18,27,1,1,1,1,9,9,9,9,9,3,3,3,3,9,9,81,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1],[1,27,4,3,15,9,9,27,18,27,7,3,6,6,3,3,9,9,18,6,1,1,
2,3,3,6,1,1],[1,27,4,15,3,9,9,27,18,27,7,3,6,6,3,3,9,9,18,6,1,1,2,3,3,6,1,1],[
1,27,13,9,27,36,27,13,3,3,3,3,3,36,3,3,1,1,1,1,3,3,3,3,1,1],[1,27,13,9,27,36,
27,13,3,3,3,3,3,36,3,3,1,1,1,1,3,3,3,3,1,1],[1,27,16,3,3,18,27,27,63,27,13,1,
1,1,6,18,9,3,3,3,3,27,36,1,1,2,3,3,3,1,3,3,3,3,1,1],[1,27,7,3,12,18,27,27,63,
27,1,1,4,1,6,9,27,3,3,3,3,27,9,27,1,3,1,2,3,3,1,3,3,3,3,1,1],[1,27,7,12,3,18,
27,27,63,27,1,1,1,4,6,9,27,3,3,3,3,27,9,27,1,3,1,2,3,3,1,3,3,3,3,1,1],[1,27,
16,3,3,18,27,27,63,27,1,13,1,1,6,9,18,3,3,3,3,27,36,1,1,2,3,3,3,1,3,3,3,3,1,
1],[1,27,1,12,18,54,27,9,27,4,3,3,3,3,3,3,9,3,1,1,1,1,3,3,3,3,1,1],[1,27,1,12,
18,54,27,9,27,4,3,3,3,3,3,3,9,3,1,1,1,1,3,3,3,3,1,1],[1,9,7,3,12,18,9,3,18,9,
9,1,1,4,1,6,9,27,1,9,3,3,3,3,9,1,3,1,2,3,3,1,3,1,1,1,1,1],[1,9,7,12,3,18,9,3,
18,9,9,1,1,1,4,6,9,27,1,9,3,3,3,3,9,1,3,1,2,3,3,1,3,1,1,1,1,1],[1,9,16,3,3,18,
12,18,9,9,13,1,1,1,6,18,9,1,9,3,3,3,12,1,1,2,3,3,3,1,3,1,1,1,1,1],[1,9,16,3,3,
18,12,18,9,9,1,13,1,1,6,9,18,1,9,3,3,12,3,1,1,2,3,3,3,1,3,1,1,1,1,1],[1,9,7,3,
3,27,9,3,18,9,9,1,1,1,1,9,9,27,1,9,9,3,3,3,3,1,3,3,3,3,1,3,1,1,1,1,1],[1,9,7,
3,3,27,9,3,18,9,9,1,1,1,1,9,27,9,1,9,9,3,3,3,3,1,3,3,3,3,1,3,1,1,1,1,1],[1,27,
4,15,3,27,54,36,27,7,3,6,6,12,9,18,9,1,1,2,1,3,1,1],[1,27,4,3,15,54,27,36,27,
7,3,6,6,12,9,18,9,1,1,2,1,3,1,1],[1,9,4,3,15,12,18,9,9,7,3,6,6,9,3,3,15,1,1,2,
1,3,1,1],[1,9,4,15,3,12,18,9,9,7,3,6,6,9,3,3,15,1,1,2,1,3,1,1],[1,9,4,3,6,9,3,
9,18,9,9,4,3,3,6,6,9,3,3,6,9,1,1,2,1,3,1,1],[1,9,4,6,3,9,3,9,18,9,9,4,3,3,6,6,
9,3,3,6,9,1,1,2,1,3,1,1],[1,9,7,3,3,3,18,9,9,1,1,1,1,9,9,9,3,3,3,3,1,1,3,3,3,
3,3,1,1,1,1,1,1],[1,9,7,3,3,3,18,9,9,1,1,1,1,9,9,9,3,3,3,3,1,1,3,3,3,3,3,1,1,
1,1,1,1],[1,30,13,16,36,6,30,12,30,45,16,16,16,2,3,15,30,36,36,18,9,18,12,16,
3,6,9,18,9,18,12,12,8,12,1,9,9,12,3,1,1],[1,30,13,16,36,6,12,30,30,45,16,16,
16,2,15,3,30,36,36,18,9,18,12,16,3,6,9,18,9,18,12,12,8,12,1,9,9,12,3,1,1],[1,
22,5,16,12,6,18,12,10,21,16,32,2,3,7,10,12,12,18,9,6,12,16,1,6,3,6,9,6,8,4,16,
1,3,3,4,1,1,1],[1,22,5,16,12,6,12,18,10,21,16,32,2,7,3,10,12,12,18,9,6,12,16,
1,6,3,6,9,6,8,4,16,1,3,3,4,1,1,1],[1,18,25,16,6,6,6,12,12,12,12,12,9,16,16,16,
2,3,3,6,12,12,12,12,18,12,9,6,12,12,16,6,3,9,3,6,6,6,12,12,4,4,8,12,1,3,3,6,6,
4,8,3,1,1],[1,18,25,16,6,6,6,12,12,12,12,12,9,16,16,16,2,3,3,6,12,12,12,12,18,
12,9,6,12,12,16,6,3,9,3,6,6,6,12,12,4,4,8,12,1,3,3,6,6,4,8,3,1,1],[1,30,29,4,
4,24,6,10,28,34,48,24,69,12,8,4,12,8,15,5,36,18,36,12,16,36,24,24,24,12,12,3,
12,18,24,1,12,4,8,12,8,4,4,4,4,3,1,4,6,4,3,3,6,6,6,3,6,3,3,18,12,18,12,12,18,
24,1,3,2,3,2,4,4,4,4,4,4,4,4,6,3,3,6,3,6,6,6,1,1,1,3,2,3,2,1,1,4,3,1,1,1,1,1,
1,1,1],[1,30,29,4,4,24,6,28,10,48,34,24,69,12,8,4,12,8,5,15,18,36,36,16,12,24,
36,24,24,12,12,3,18,12,24,1,12,4,8,12,8,4,4,4,4,1,3,4,4,6,3,3,6,6,6,3,6,3,3,
12,18,12,18,18,12,24,1,3,2,3,2,4,4,4,4,4,4,4,6,4,3,3,6,3,6,6,6,1,1,1,3,2,3,2,
1,1,4,3,1,1,1,1,1,1,1,1],[1,18,25,4,6,6,6,12,12,12,12,12,9,16,4,2,3,3,6,12,12,
12,12,18,12,9,6,12,8,12,6,3,9,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,
1],[1,9,13,27,12,9,9,13,27,1,12,9,1,3,1,1,3,1],[1,9,13,27,12,9,9,13,27,1,12,9,
1,3,1,1,3,1],[1,27,18,4,3,6,9,27,27,18,18,6,6,12,27,18,27,4,3,6,27,9,18,9,3,2,
18,6,18,6,12,9,1,1,9,3,6,3,2,3,1,1,1,1],[1,27,18,4,6,3,9,27,27,18,18,6,6,12,
27,18,27,4,3,6,27,9,18,9,3,2,18,6,18,6,12,9,1,1,9,3,6,3,2,3,1,1,1,1],[1,45,13,
9,54,60,45,27,13,54,9,5,60,9,1,1,18,5,3,2,1,1],[1,45,13,9,54,60,45,27,13,54,9,
5,60,9,1,1,18,5,3,2,1,1],[1,9,4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,
4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,16,24,27,12,36,9,1,4,8,1,12,9,
4,3,4,1,1],[1,9,4,12,24,27,12,36,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,4,12,24,27,12,
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,
9,1,12,27,12,9,9,4,27,12,9,1,1,3,1],[1,9,1,12,27,12,9,9,4,27,12,9,1,1,3,1],[1,
36,27,4,3,6,54,81,21,18,54,27,36,18,45,27,4,3,6,45,81,54,27,3,12,9,18,9,6,18,
24,27,1,12,18,18,9,18,1,3,3,9,1,3,3,1],[1,36,27,4,6,3,54,81,18,21,27,54,36,45,
18,27,4,3,6,45,54,81,27,3,12,9,18,9,18,6,24,27,1,12,18,18,9,18,1,3,3,9,1,3,3,
1],[1,12,51,4,3,6,36,18,54,27,7,6,6,8,54,27,48,12,6,15,6,24,27,4,3,6,9,6,6,24,
27,18,36,18,36,18,9,1,12,2,9,18,3,6,2,6,6,2,8,8,4,12,9,18,1,4,6,2,6,6,6,6,12,
3,6,6,6,6,1,1,2,1,2,3,6,1,1,2,1,2,1],[1,12,51,4,6,3,18,36,54,27,6,7,8,6,27,54,
48,12,15,6,24,6,27,4,3,6,6,9,24,6,18,27,18,36,36,9,18,1,12,2,9,18,3,6,6,2,2,6,
8,8,4,12,18,9,1,4,6,6,2,6,6,6,12,3,6,6,6,6,1,1,2,1,2,3,6,1,1,2,1,2,1],[1,9,1,
12,9,12,9,27,4,9,12,9,1,1,1,1],[1,9,1,12,9,12,9,27,4,9,12,9,1,1,1,1],[1,9,1,
12,9,12,9,27,4,9,12,9,1,1,1,1],[1,9,1,12,9,12,9,27,4,9,12,9,1,1,1,1],[1,45,1,
12,9,54,12,36,12,9,36,27,4,36,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,45,1,12,9,54,
12,36,12,9,36,27,4,36,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,12,27,4,6,3,9,27,27,6,
7,27,54,36,15,6,27,4,3,6,18,27,9,9,1,12,9,18,3,6,2,8,9,1,1,3,6,6,3,1,1,1,3,1,
1,1,1],[1,12,27,4,3,6,9,27,27,7,6,54,27,36,6,15,27,4,3,6,27,18,9,9,1,12,9,18,
3,2,6,8,9,1,1,3,6,6,3,1,1,1,3,1,1,1,1],[1,9,13,9,12,9,27,13,9,1,12,9,1,1,1,3,
1,1],[1,9,13,9,12,9,27,13,9,1,12,9,1,1,1,3,1,1],[1,9,1,12,9,12,9,27,4,9,9,1,
12,9,1,1,1,3,1,1],[1,15,18,4,3,6,27,9,27,8,6,6,6,12,12,21,18,27,4,3,6,6,9,18,
9,9,1,2,6,4,6,6,10,6,12,9,1,3,1,3,6,6,1,2,2,3,1,1,1,1],[1,15,18,4,6,3,27,9,27,
6,8,6,6,12,21,12,18,27,4,3,6,6,9,18,9,9,1,2,6,6,4,6,10,6,12,9,1,3,1,3,6,6,1,2,
2,3,1,1,1,1],[1,27,6,4,3,6,27,27,9,18,18,2,12,27,6,6,27,4,3,6,27,6,9,9,3,6,18,
2,18,2,4,9,1,3,9,1,6,3,2,3,1,1,1,1],[1,27,6,4,6,3,27,27,9,18,18,2,12,27,6,6,
27,4,3,6,27,6,9,9,3,6,18,2,18,2,4,9,1,3,9,1,6,3,2,3,1,1,1,1],[1,15,6,4,6,3,9,
9,9,6,8,2,12,21,12,6,6,9,4,3,6,6,6,9,9,9,1,6,6,6,4,2,10,2,4,9,1,1,1,1,6,6,1,2,
2,1,1,1,1,1],[1,15,6,4,3,6,9,9,9,8,6,2,12,12,21,6,6,9,4,3,6,6,6,9,9,9,1,6,6,4,
6,2,10,2,4,9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,16,35,10,30,5,25,30,30,15,6,10,
20,10,10,20,5,15,30,30,15,6,6,6,5,10,20,10,20,10,15,6,12,10,5,10,6,5,1,1,2,
1],[1,16,35,10,30,5,30,25,30,15,6,10,20,10,10,20,5,15,30,30,15,6,6,6,5,10,20,
10,20,10,15,6,12,10,5,10,6,5,1,1,2,1],[1,36,15,10,30,5,40,15,45,6,30,10,30,15,
5,30,30,15,6,6,6,5,30,30,10,15,6,12,10,5,10,6,5,1,1,2,1],[1,36,15,10,30,40,5,
15,45,6,30,10,30,15,5,30,30,15,6,6,6,5,30,30,10,15,6,12,10,5,10,6,5,1,1,2,1],[
1,16,15,10,1,15,5,15,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,10,6,5,
1,1,1],[1,16,15,10,1,15,5,15,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,
10,6,5,1,1,1],[1,25,12,12,72,13,13,4,4,24,72,36,54,108,72,1,1,4,6,12,8,8,1,1,
6,6,8,8,12,12,12,12,12,4,4,24,4,4,1],[1,25,12,12,72,4,16,16,16,24,18,72,72,1,
12,12,16,8,12,12,12,24,24,24,1,4,8,1],[1,25,12,12,72,16,4,16,16,24,72,18,72,1,
12,12,16,8,12,12,12,24,24,24,1,4,8,1],[1,16,21,12,18,4,4,16,19,6,18,72,27,18,
12,12,16,3,1,2,3,3,6,6,6,6,1,1,2,3,6,1],[1,16,12,21,18,4,4,19,16,6,18,72,27,
18,12,12,16,3,1,2,3,3,6,6,6,6,1,1,2,3,6,1],[1,16,3,3,45,13,1,1,1,15,18,9,27,9,
9,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,6,3,1],[1,16,3,3,45,1,13,1,1,15,
27,9,18,9,9,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,6,3,1],[1,7,12,3,72,1,
1,1,4,24,27,9,27,27,9,1,3,3,3,1,2,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,6,1],[1,7,
3,12,72,1,1,4,1,24,27,9,27,27,9,1,3,3,3,1,2,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,
6,1],[1,18,1,8,16,16,6,12,12,9,8,16,16,2,3,3,18,9,16,12,12,24,6,9,16,2,8,8,12,
12,8,1,6,8,1,1,2,1],[1,6,45,4,4,32,36,18,1,1,27,27,24,9,24,24,96,12,12,3,3,18,
18,18,36,36,9,9,9,16,1,1,8,8,24,12,12,4,4,12,12,1,9,9,9,9,9,9,16,6,6,24,24,24,
3,3,12,12,9,4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,24,15,4,4,32,3,9,1,28,9,30,6,
45,12,4,12,12,24,15,30,3,9,3,9,18,9,9,9,9,16,1,1,8,8,24,12,12,12,4,4,12,3,1,3,
9,9,9,9,16,1,3,3,3,6,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,24,15,4,4,32,3,
9,28,1,30,9,6,45,12,4,12,12,24,15,3,30,9,9,3,18,9,9,9,9,16,1,1,8,8,24,12,12,
12,4,4,12,3,1,3,9,9,9,9,16,1,3,3,3,6,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[1,
34,33,2,2,10,18,18,24,24,24,24,36,45,10,10,4,4,6,6,14,14,12,12,9,9,18,24,24,
36,36,36,36,9,18,1,14,14,2,2,12,12,18,18,12,12,2,2,6,6,6,6,6,6,9,9,9,18,18,1,
1,1,4,4,4,4,6,6,6,6,2,2,6,6,6,6,6,6,6,6,9,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,2,2,2,
2,6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,30,5,60,10,10,
20,10,25,16,5,5,10,20,20,20,5,20,10,20,16,1,5,10,10,5,10,10,16,5,5,5,5,1,1,
1],[1,30,5,60,10,20,10,10,25,16,5,5,10,20,20,20,5,10,20,20,16,1,10,5,10,5,10,
10,16,5,5,5,5,1,1,1],[1,81,16,12,12,81,324,324,432,4,4,16,16,18,72,36,36,144,
144,162,648,12,12,16,36,54,36,36,48,1,1,1],[1,81,16,12,12,81,324,324,432,4,4,
16,16,18,72,36,36,144,144,162,648,12,12,16,36,54,36,36,48,1,1,1],[1,18,81,16,
12,12,81,12,12,324,324,432,36,36,4,4,16,16,18,72,108,108,2,36,36,144,144,162,
648,18,24,24,24,24,12,12,16,36,36,72,18,36,36,48,4,4,12,12,1,12,12,1,2,1],[1,
99,16,12,12,81,6,6,324,324,444,36,18,18,4,4,16,16,18,72,54,54,108,36,36,144,
144,2,162,648,18,6,6,6,6,12,12,12,12,12,12,12,12,16,9,9,18,18,18,36,36,18,36,
36,48,2,2,4,6,6,12,1,6,6,12,1,2,1],[1,27,16,12,12,27,18,18,54,54,4,4,16,16,18,
72,27,27,3,27,36,36,36,36,12,12,16,9,27,6,6,18,18,1,1,9,3,1],[1,27,16,12,12,
27,18,18,54,54,4,4,16,16,18,72,27,27,3,27,36,36,36,36,12,12,16,9,27,6,6,18,18,
1,1,9,3,1],[1,9,18,16,12,12,27,6,6,6,6,12,36,18,18,18,18,4,4,16,16,18,72,9,18,
27,1,2,9,18,12,12,6,6,12,12,6,6,12,12,12,12,12,12,12,12,16,3,6,9,18,2,2,2,2,4,
6,6,6,6,12,1,1,3,6,1,2,1],[1,9,18,16,12,12,27,6,6,6,6,12,36,18,18,18,18,4,4,
16,16,18,72,9,18,27,1,2,9,18,12,12,6,6,12,12,6,6,12,12,12,12,12,12,12,12,16,3,
6,9,18,2,2,2,2,4,6,6,6,6,12,1,1,3,6,1,2,1],[1,27,4,3,42,27,18,18,27,16,3,6,24,
27,27,3,18,18,1,4,8,9,3,4,1,1],[1,27,4,42,3,27,18,18,27,16,3,6,24,27,27,3,18,
18,1,4,8,9,3,4,1,1],[1,27,4,3,6,36,27,18,18,27,4,12,3,6,24,27,27,3,18,18,1,4,
8,9,3,4,1,1],[1,27,4,6,3,36,27,18,18,27,4,12,3,6,24,27,27,3,18,18,1,4,8,9,3,4,
1,1],[1,27,13,36,27,36,27,13,12,12,12,27,27,3,36,1,4,4,4,9,3,4,1,1],[1,27,13,
36,27,36,27,13,12,12,12,27,27,3,36,1,4,4,4,9,3,4,1,1],[1,9,16,12,12,81,6,6,18,
18,4,4,16,16,18,72,54,54,1,9,12,12,12,12,12,12,16,9,9,2,2,6,6,1,6,6,1,1],[1,9,
16,12,12,9,6,6,18,18,4,4,16,16,18,72,18,18,1,9,12,12,12,12,12,12,16,1,9,2,2,6,
6,1,2,2,1,1],[1,63,16,3,3,18,81,9,9,54,27,27,120,72,9,9,1,13,1,1,6,9,18,27,27,
108,3,7,3,3,3,6,27,9,9,9,54,3,3,84,12,1,1,2,3,3,3,9,27,9,9,9,1,9,9,9,7,3,6,3,
1,1,1,3,3,3,1,3,3,3,3,3,1,1,1,1],[1,63,16,3,3,18,81,9,9,54,27,27,120,72,9,9,
13,1,1,1,6,18,9,27,27,108,7,3,3,3,3,6,27,9,9,9,54,3,3,12,84,1,1,2,3,3,3,27,9,
9,9,9,1,9,9,9,7,3,6,3,3,3,3,1,1,1,1,3,3,3,3,3,1,1,1,1],[1,63,7,12,3,18,81,36,
9,54,27,36,84,45,36,9,1,1,1,4,6,9,27,27,54,81,3,3,4,3,3,9,27,9,9,36,54,12,3,
12,12,9,27,1,3,1,2,3,3,9,9,18,9,9,9,1,3,6,9,9,1,3,3,9,3,1,4,3,3,1,1,3,3,3,3,3,
1,1,1,1],[1,63,7,3,12,18,81,9,36,54,36,27,84,45,9,36,1,1,4,1,6,9,27,54,27,81,
3,3,3,4,3,9,27,9,36,9,54,3,12,12,12,27,9,1,3,1,2,3,3,9,9,9,18,9,9,1,3,6,9,9,3,
1,3,9,3,1,4,3,3,1,1,3,3,3,3,3,1,1,1,1],[1,63,4,3,15,81,9,21,81,27,54,18,9,63,
7,3,6,6,81,27,54,15,3,9,18,9,9,3,12,15,27,6,1,1,2,9,9,27,9,1,1,3,3,6,6,1,3,3,
1,1,1,1],[1,63,4,15,3,81,21,9,27,81,54,18,63,9,7,3,6,6,27,81,54,15,3,9,18,9,3,
9,12,15,27,6,1,1,2,9,9,27,9,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,13,13,27,1,1],[1,13,
13,27,1,1],[1,45,20,20,45,15,15,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,
45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,34,41,16,6,54,6,30,18,66,46,
36,81,16,32,16,16,32,2,7,15,22,42,54,18,18,60,36,30,54,18,12,9,18,30,30,12,12,
16,32,16,32,16,1,3,6,6,6,6,9,3,6,6,18,3,6,9,3,18,18,30,18,18,18,30,6,12,12,4,
12,16,8,4,16,16,1,6,6,3,9,6,3,9,3,3,6,6,6,6,6,4,4,4,16,8,8,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,34,41,16,6,54,6,18,30,46,66,36,81,16,32,16,16,32,2,15,7,42,22,
54,18,18,36,60,30,54,18,12,9,30,18,30,12,12,16,32,16,32,16,3,1,6,6,6,6,3,9,6,
18,6,3,6,9,3,18,18,18,30,18,18,30,6,12,12,4,12,16,8,4,16,16,1,6,6,9,3,6,9,3,3,
3,6,6,6,6,6,4,4,4,16,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,45,16,24,27,54,24,72,
72,9,27,27,4,1,8,72,27,4,1,24,12,24,9,4,3,12,6,9,4,4,4,1,3,3,4,3,1,1],[1,45,4,
12,24,27,54,12,24,36,24,36,36,9,27,27,1,4,8,36,36,27,1,4,12,24,12,12,9,4,3,6,
12,9,4,4,4,1,3,3,4,3,1,1],[1,45,4,12,24,27,54,12,24,36,24,36,36,9,27,27,1,4,8,
36,36,27,1,4,12,24,12,12,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,4,12,24,27,
54,12,24,36,24,36,36,9,27,27,1,4,8,36,36,27,1,4,12,24,12,12,9,4,3,6,12,9,4,4,
4,1,3,3,4,3,1,1],[1,45,4,12,24,27,54,12,24,36,24,36,36,9,27,27,1,4,8,36,36,27,
1,4,12,24,12,12,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,16,24,27,54,24,72,72,
9,27,27,1,4,8,72,27,1,4,24,24,12,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,13,
27,54,60,45,9,27,27,13,54,27,27,5,60,9,9,9,1,3,18,9,5,1,3,3,2,3,3,1,1,1,1],[1,
45,13,27,54,60,45,9,27,27,13,54,27,27,5,60,9,9,9,1,3,18,9,5,1,3,3,2,3,3,1,1,1,
1],[1,45,1,12,27,54,12,36,12,9,36,9,27,27,4,36,18,27,27,4,12,12,9,9,9,1,12,9,
1,4,3,2,1,1,1,1],[1,45,1,12,27,54,12,36,12,9,36,9,27,27,4,36,18,27,27,4,12,12,
9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,36,51,4,6,3,9,27,54,18,36,54,81,18,21,8,6,27,
54,48,12,45,18,24,6,27,27,36,54,27,4,3,6,45,6,9,24,6,54,81,18,36,36,9,27,9,18,
9,27,3,12,2,9,18,9,6,18,6,2,6,24,8,4,12,27,18,9,9,9,9,9,9,1,1,3,12,4,18,6,2,6,
18,6,12,9,6,18,6,6,6,9,1,3,2,3,2,4,6,9,3,6,3,1,1,1,1,3,1,2,3,2,3,1,1,1,1,1,1,
1,1],[1,36,51,4,3,6,9,27,54,36,18,54,81,21,18,6,8,54,27,48,12,18,45,6,24,27,
27,36,54,27,4,3,6,45,9,6,6,24,81,54,36,18,36,9,27,18,9,9,27,3,12,2,9,18,9,6,6,
18,6,2,24,8,4,12,27,9,18,9,9,9,9,9,1,1,3,12,4,18,2,6,6,18,6,12,9,6,18,6,6,6,9,
1,3,2,3,2,4,6,9,3,6,3,1,1,1,1,3,1,2,3,2,3,1,1,1,1,1,1,1,1],[1,36,35,10,1,75,5,
40,25,30,30,45,6,30,20,10,30,20,15,5,15,10,60,30,30,30,30,15,15,6,6,6,5,30,10,
20,30,20,10,10,10,10,5,15,15,15,15,15,15,6,6,6,12,12,10,10,5,10,10,10,10,10,
10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,36,35,10,1,75,40,5,30,25,30,
45,6,30,20,10,30,20,15,5,15,10,30,60,30,30,15,30,15,6,6,6,5,30,10,20,30,20,10,
10,10,10,5,15,15,15,15,15,15,6,6,6,12,12,10,10,5,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,81,25,12,12,72,324,324,432,81,4,16,16,16,
24,18,72,72,36,36,144,144,162,648,108,1,12,12,16,8,12,12,12,24,24,24,36,36,48,
9,36,36,36,1,4,8,1,12,1,1],[1,81,25,12,12,72,324,324,432,81,16,4,16,16,24,72,
18,72,36,36,144,144,162,648,108,1,12,12,16,8,12,12,12,24,24,24,36,36,48,9,36,
36,36,1,4,8,1,12,1,1],[1,81,25,12,12,72,108,108,648,216,81,13,13,4,4,24,72,36,
54,108,72,9,9,36,54,108,72,72,108,108,648,108,108,1,1,4,6,12,8,8,1,1,6,6,8,8,
12,12,12,12,12,9,9,54,54,72,72,108,108,108,108,108,9,9,36,54,108,72,72,4,4,24,
4,4,12,12,12,12,72,1,1],[1,81,16,21,12,18,324,324,432,81,4,4,16,19,6,18,72,27,
18,36,36,144,144,162,648,27,81,12,12,16,3,1,2,3,3,6,6,6,6,36,36,48,9,9,9,9,1,
1,2,3,6,1,3,9,1,1],[1,81,16,12,21,18,324,324,432,81,4,4,19,16,6,18,72,27,18,
36,36,144,144,162,648,27,81,12,12,16,3,1,2,3,3,6,6,6,6,36,36,48,9,9,9,9,1,1,2,
3,6,1,3,9,1,1],[1,27,25,12,12,72,9,9,54,45,54,27,27,4,16,16,16,24,18,72,72,3,
3,6,27,9,9,9,9,18,18,54,18,18,45,18,1,12,12,16,8,12,12,12,24,24,24,9,9,9,3,3,
3,6,6,9,9,18,3,3,3,6,6,6,1,4,8,3,1,3,6,1,1],[1,27,25,12,12,72,9,9,54,45,54,27,
27,16,4,16,16,24,72,18,72,3,3,6,27,9,9,9,9,18,18,54,18,18,18,45,1,12,12,16,8,
12,12,12,24,24,24,9,9,9,3,3,3,6,6,9,9,18,3,3,3,6,6,6,1,4,8,3,1,3,6,1,1],[1,27,
25,12,12,72,27,27,63,54,27,27,13,13,4,4,24,72,36,54,108,72,3,3,3,3,27,27,9,9,
36,36,27,27,1,1,4,6,12,8,8,1,1,6,6,8,8,12,12,12,12,12,1,3,3,3,3,9,3,3,3,3,3,3,
3,3,3,3,3,3,4,4,24,4,4,1,1,1,1,3,3,3,3,1,1],[1,27,16,21,12,18,9,9,27,18,54,27,
27,4,4,16,19,6,18,72,27,18,3,3,27,9,9,9,9,18,18,18,18,18,18,27,6,12,12,16,3,1,
2,3,3,6,6,6,6,3,3,3,6,9,9,18,3,3,3,6,6,6,6,1,1,2,3,6,3,1,3,6,1,1],[1,27,16,12,
21,18,9,9,27,18,54,27,27,4,4,19,16,6,18,72,27,18,3,3,27,9,9,9,9,18,18,18,18,
18,18,27,6,12,12,16,3,1,2,3,3,6,6,6,6,3,3,3,6,9,9,18,3,3,3,6,6,6,6,1,1,2,3,6,
3,1,3,6,1,1],[1,27,16,21,12,18,36,9,54,18,54,27,27,4,4,16,19,6,18,72,27,18,3,
9,27,9,9,9,9,18,45,54,18,18,18,18,12,12,16,3,1,2,3,3,6,6,6,6,3,6,9,9,3,3,6,9,
9,9,18,1,1,2,3,6,3,1,3,6,1,1],[1,27,16,12,21,18,9,36,54,18,54,27,27,4,4,19,16,
6,18,72,27,18,3,9,27,9,9,9,9,45,18,54,18,18,18,18,12,12,16,3,1,2,3,3,6,6,6,6,
3,6,9,9,3,3,6,9,9,9,18,1,1,2,3,6,3,1,3,6,1,1],[1,27,7,12,3,72,54,27,9,54,27,
27,1,1,1,4,24,27,9,27,27,9,3,3,3,27,54,9,9,9,9,27,3,1,3,3,3,1,2,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,6,1,3,3,3,3,1,1],[1,27,
7,3,12,72,54,27,9,54,27,27,1,1,4,1,24,27,9,27,27,9,3,3,3,27,54,9,9,9,9,27,3,1,
3,3,3,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,3,
6,1,3,3,3,3,1,1],[1,27,16,3,3,45,27,36,54,27,27,1,13,1,1,15,27,9,18,9,9,3,3,
27,27,9,9,36,9,3,3,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,1,1,1,6,3,1,3,3,3,3,1,1],[1,27,16,3,3,45,27,36,54,27,27,13,1,1,
1,15,18,9,27,9,9,3,3,27,27,9,9,9,36,3,3,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,6,3,1,3,3,3,3,1,1],[1,30,13,8,16,16,
36,6,30,12,30,45,16,16,8,48,64,16,2,3,15,30,36,36,18,9,18,16,12,12,16,24,48,3,
6,9,18,9,18,16,16,16,12,12,2,8,8,12,24,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,
1],[1,30,13,8,16,16,36,6,12,30,30,45,16,16,8,48,16,64,2,15,3,30,36,36,18,9,18,
16,12,12,16,24,48,3,6,9,18,9,18,16,16,16,12,12,2,8,8,12,12,24,8,1,9,9,16,12,
12,6,3,8,1,1,2,1,3,1,1],[1,18,73,8,16,16,18,18,6,12,12,36,36,36,9,48,48,48,48,
96,8,16,16,2,3,3,18,36,36,36,36,18,36,9,18,36,16,12,12,48,48,48,24,6,9,9,9,18,
18,18,36,36,16,16,16,12,12,12,12,2,8,8,12,12,8,24,24,1,9,9,18,18,16,12,12,6,
12,24,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,42,57,4,4,32,6,54,18,28,28,84,84,60,
117,12,12,24,24,96,4,4,12,12,24,24,15,15,48,48,90,30,30,72,72,54,54,36,36,9,
36,36,54,16,1,1,8,8,24,12,12,12,12,24,24,12,12,24,24,12,12,4,4,12,12,12,12,3,
3,10,12,12,9,9,18,18,18,9,18,9,9,36,36,36,36,36,36,54,16,16,16,1,1,3,3,6,6,24,
24,24,3,3,6,6,4,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,9,9,18,9,18,18,18,
16,4,4,1,1,3,3,2,3,3,3,3,6,6,3,3,6,6,3,3,3,3,12,12,9,4,4,4,4,4,4,1,1,3,3,3,3,
3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,81,16,12,12,243,324,324,432,81,4,4,16,
16,18,72,36,36,144,144,162,648,12,12,16,108,162,36,36,48,36,1,1,3,1],[1,81,16,
12,12,243,324,324,432,81,4,4,16,16,18,72,36,36,144,144,162,648,12,12,16,108,
162,36,36,48,36,1,1,3,1],[1,54,81,16,12,12,108,243,36,36,324,324,432,108,108,
81,4,4,16,16,18,72,108,324,324,108,6,36,36,144,144,162,648,54,72,72,72,72,108,
12,12,16,36,108,108,216,54,108,36,36,48,12,12,36,36,54,1,4,36,36,36,1,6,12,3,
4,1],[1,54,81,16,12,12,108,243,36,36,324,324,432,108,108,81,4,4,16,16,18,72,
108,324,324,108,6,36,36,144,144,162,648,54,72,72,72,72,108,12,12,16,36,108,
108,216,54,108,36,36,48,12,12,36,36,54,1,4,36,36,36,1,6,12,3,4,1],[1,18,117,
16,12,12,54,54,162,81,12,12,12,12,324,324,456,72,36,36,36,36,81,4,4,16,16,18,
72,18,18,36,36,108,108,108,108,216,54,54,2,36,36,144,144,4,162,648,18,36,24,
24,12,12,24,24,12,12,24,24,24,24,24,24,54,54,12,12,16,6,6,36,36,12,12,18,18,
36,36,72,36,72,72,18,36,18,18,36,36,36,36,48,4,4,4,4,8,12,12,12,12,24,9,9,36,
1,2,2,6,6,12,12,12,12,12,12,24,1,2,4,6,6,1,2,2,2,1],[1,36,81,16,12,12,81,162,
24,24,324,324,432,72,72,81,4,4,16,16,18,72,216,216,4,36,36,144,144,162,648,36,
48,48,48,48,12,12,16,36,54,72,72,144,36,36,36,48,8,8,24,24,36,1,24,24,1,4,1,2,
1],[1,36,81,16,12,12,81,162,24,24,324,324,432,72,72,81,4,4,16,16,18,72,216,
216,4,36,36,144,144,162,648,36,48,48,48,48,12,12,16,36,54,72,72,144,36,36,36,
48,8,8,24,24,36,1,24,24,1,4,1,2,1],[1,117,16,12,12,81,162,12,12,324,324,456,
72,36,36,81,4,4,16,16,18,72,108,108,216,36,36,144,144,4,162,648,36,12,12,12,
12,24,24,24,24,24,24,12,12,16,36,54,18,18,36,36,36,72,72,36,36,36,48,4,4,8,12,
12,24,18,18,1,12,12,24,1,4,1,2,1],[1,117,16,12,12,81,162,12,12,324,324,456,72,
36,36,81,4,4,16,16,18,72,108,108,216,36,36,144,144,4,162,648,36,12,12,12,12,
24,24,24,24,24,24,12,12,16,36,54,18,18,36,36,36,72,72,36,36,36,48,4,4,8,12,12,
24,18,18,1,12,12,24,1,4,1,2,1],[1,18,81,16,12,12,162,81,12,12,324,324,432,36,
36,81,4,4,16,16,18,72,108,108,2,36,36,144,144,162,648,18,24,24,24,24,12,12,16,
36,36,54,54,36,36,72,18,36,36,48,4,4,12,12,18,1,12,12,1,2,1,1,1,1],[1,27,54,4,
42,3,27,27,81,18,18,18,18,108,36,27,54,81,16,3,6,24,27,27,27,54,27,3,12,6,18,
18,18,18,36,24,27,27,1,4,8,3,9,9,18,3,6,12,24,9,4,1,3,3,4,3,1,1],[1,27,54,4,3,
42,27,27,81,18,18,18,18,108,36,27,54,81,16,3,6,24,27,27,27,54,27,3,12,6,18,18,
18,18,36,24,27,27,1,4,8,3,9,9,18,3,6,12,24,9,4,1,3,3,4,3,1,1],[1,81,13,36,27,
108,108,108,81,81,13,12,12,12,27,108,27,9,12,108,12,12,27,27,1,4,4,4,3,36,9,
12,12,12,9,4,4,3,4,3,1,1],[1,81,13,36,27,108,108,108,81,81,13,12,12,12,27,108,
27,9,12,108,12,12,27,27,1,4,4,4,3,36,9,12,12,12,9,4,4,3,4,3,1,1],[1,18,81,16,
12,12,9,81,81,12,12,324,324,432,36,36,81,4,4,16,16,18,72,108,108,18,18,54,54,
2,36,36,144,144,162,648,18,24,24,24,24,54,54,12,12,16,1,9,36,36,72,9,9,18,36,
36,48,4,4,12,12,9,9,1,2,2,6,6,12,12,1,2,6,6,1,1,1,1],[1,81,16,12,12,81,324,
324,432,81,4,4,16,16,18,72,36,36,144,144,162,648,12,12,16,36,54,36,36,48,18,1,
1,1,1],[1,81,16,12,12,81,324,324,432,81,4,4,16,16,18,72,36,36,144,144,162,648,
12,12,16,36,54,36,36,48,18,1,1,1,1],[1,9,13,24,12,27,12,45,36,36,9,16,12,24,
24,27,36,12,12,24,9,9,9,9,4,1,8,1,12,9,4,3,4,1,1],[1,9,13,12,24,27,12,45,36,
36,9,16,12,24,24,27,36,12,12,24,9,9,9,9,4,1,8,1,12,9,4,3,4,1,1],[1,9,25,12,12,
72,27,12,45,36,36,9,13,4,4,4,24,72,36,27,1,36,12,12,12,12,9,9,9,9,1,4,8,12,12,
12,3,1,12,4,4,4,1,9,4,3,4,1,1,1,1,1],[1,9,25,12,12,72,27,12,45,36,36,9,4,13,4,
4,24,36,72,27,1,36,12,12,12,12,9,9,9,9,1,4,8,12,12,12,3,1,12,4,4,4,1,9,4,3,4,
1,1,1,1,1],[1,27,18,4,3,42,81,27,27,18,18,42,36,27,18,18,81,16,3,6,24,27,27,
18,27,27,3,18,18,6,18,6,48,27,27,1,4,8,9,9,3,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,
27,18,4,42,3,81,27,27,18,18,42,36,27,18,18,81,16,3,6,24,27,27,18,27,27,3,18,
18,6,18,6,48,27,27,1,4,8,9,9,3,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,27,18,4,3,6,36,
81,27,27,18,18,6,36,36,27,18,18,81,4,12,3,6,24,27,27,18,27,27,3,18,18,6,18,6,
12,36,27,27,1,4,8,9,9,3,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,27,18,4,6,3,36,81,27,
27,18,18,6,36,36,27,18,18,81,4,12,3,6,24,27,27,18,27,27,3,18,18,6,18,6,12,36,
27,27,1,4,8,9,9,3,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,27,18,16,12,12,9,27,27,18,18,
6,6,12,36,54,54,18,18,27,4,4,16,16,18,72,27,9,18,18,18,27,27,3,2,27,18,36,36,
6,6,36,36,6,6,12,12,12,12,12,12,9,27,12,12,16,1,9,3,6,9,27,9,18,6,6,2,2,4,18,
18,6,6,12,3,9,1,1,1,2,2,9,3,6,3,2,1,3,1,1,1,1],[1,27,18,16,12,12,9,27,27,18,
18,6,6,12,36,54,54,18,18,27,4,4,16,16,18,72,27,9,18,18,18,27,27,3,2,27,18,36,
36,6,6,36,36,6,6,12,12,12,12,12,12,9,27,12,12,16,1,9,3,6,9,27,9,18,6,6,2,2,4,
18,18,6,6,12,3,9,1,1,1,2,2,9,3,6,3,2,1,3,1,1,1,1],[1,36,27,4,3,42,54,81,21,18,
54,27,36,18,45,108,27,16,3,6,24,27,45,81,54,27,3,12,9,18,9,6,18,24,36,27,27,1,
4,8,12,18,18,9,18,1,3,3,12,9,4,1,3,3,4,1,1,1],[1,36,27,4,42,3,54,81,18,21,27,
54,36,45,18,108,27,16,3,6,24,27,45,54,81,27,3,12,9,18,9,18,6,24,36,27,27,1,4,
8,12,18,18,9,18,1,3,3,12,9,4,1,3,3,4,1,1,1],[1,27,18,16,12,12,81,27,27,18,18,
6,6,12,36,54,54,18,18,81,4,4,16,16,18,72,27,9,18,27,27,54,54,3,2,27,18,36,36,
6,6,36,36,6,6,12,12,12,12,12,12,27,27,12,12,16,9,9,3,6,9,27,9,18,6,6,2,2,4,18,
18,6,6,12,9,9,1,1,1,6,6,9,3,6,3,2,3,3,1,1,1,1],[1,27,18,16,12,12,81,27,27,18,
18,6,6,12,36,54,54,18,18,81,4,4,16,16,18,72,27,9,18,27,27,54,54,3,2,27,18,36,
36,6,6,36,36,6,6,12,12,12,12,12,12,27,27,12,12,16,9,9,3,6,9,27,9,18,6,6,2,2,4,
18,18,6,6,12,9,9,1,1,1,6,6,9,3,6,3,2,3,3,1,1,1,1],[1,46,45,20,20,45,45,15,15,
45,45,45,36,60,60,60,60,20,20,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,
10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,60,15,20,20,
90,15,60,45,45,36,80,60,20,60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,
36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,60,15,20,20,90,60,15,45,
45,36,60,80,20,60,60,15,15,90,90,45,10,36,15,15,60,60,45,10,20,20,36,30,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[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],[1,34,21,21,180,16,16,19,19,60,126,18,
99,54,108,126,18,18,1,1,12,12,19,6,12,14,14,1,1,6,6,8,8,30,21,21,24,21,21,24,
24,24,24,24,6,6,6,6,6,6,6,6,1,4,4,24,7,7,8,8,2,2,3,3,6,6,12,12,6,6,6,6,12,12,
1,1,1,1,1,2,2,2,2,1],[1,70,5,40,60,30,50,60,10,45,96,80,40,80,10,15,15,10,60,
60,90,45,30,96,50,40,40,40,1,30,15,30,45,30,20,40,10,60,40,5,15,15,10,10,10,
16,5,6,5,10,6,5,1],[1,70,5,40,60,30,60,50,10,45,96,80,40,80,10,15,15,10,60,60,
90,45,30,96,50,40,40,40,1,30,15,30,45,30,20,40,10,60,40,5,15,15,10,10,10,16,5,
6,5,10,6,5,1],[1,27,16,12,48,72,27,18,18,54,54,4,4,28,16,24,18,72,108,72,27,
54,27,27,3,27,36,36,36,36,12,12,16,12,4,8,12,12,24,24,24,24,9,27,27,6,6,18,18,
1,4,8,12,24,1,9,3,4,1,1,2,1],[1,27,16,48,12,72,27,18,18,54,54,4,4,16,28,24,18,
72,108,72,27,54,27,27,3,27,36,36,36,36,12,12,16,12,4,8,12,12,24,24,24,24,9,27,
27,6,6,18,18,1,4,8,12,24,1,9,3,4,1,1,2,1],[1,81,25,12,12,72,81,324,324,432,81,
4,16,16,16,24,18,72,72,81,36,36,144,144,162,648,108,1,12,12,16,8,12,12,12,24,
24,24,36,54,36,36,48,9,36,36,36,1,4,8,9,1,12,1,1,1,1],[1,81,25,12,12,72,81,
324,324,432,81,16,4,16,16,24,72,18,72,81,36,36,144,144,162,648,108,1,12,12,16,
8,12,12,12,24,24,24,36,54,36,36,48,9,36,36,36,1,4,8,9,1,12,1,1,1,1],[1,81,25,
12,12,72,81,108,108,648,216,81,13,13,4,4,24,72,36,54,108,72,81,9,9,36,54,108,
72,72,108,108,648,108,108,1,1,4,6,12,8,8,1,1,6,6,8,8,12,12,12,12,12,9,9,18,9,
9,54,54,72,72,108,108,108,108,108,9,9,36,54,108,72,72,4,4,24,4,4,9,9,18,9,9,
18,18,12,12,12,12,72,1,1,1],[1,135,25,12,12,72,243,108,108,648,54,54,342,189,
54,54,13,13,4,4,24,72,36,54,108,72,162,162,405,15,15,6,6,36,54,108,72,72,54,
54,108,108,648,18,18,180,180,54,54,1,1,4,6,12,8,8,1,1,6,6,8,8,12,12,12,12,12,
81,81,54,54,54,54,2,9,9,54,54,72,72,108,108,108,108,108,15,15,6,6,36,54,108,
72,72,18,6,6,6,6,6,6,6,6,6,6,6,6,4,4,24,4,4,9,9,18,18,9,9,18,18,18,18,18,12,
12,12,12,72,2,2,2,2,6,6,6,6,1,6,6,6,6,1,2,1],[1,135,25,12,12,72,243,18,18,108,
324,324,522,189,54,54,4,16,16,16,24,18,72,72,162,162,405,36,42,144,144,6,162,
12,648,54,18,18,18,18,36,36,108,36,36,198,36,1,12,12,16,8,12,12,12,24,24,24,
27,27,54,108,54,108,108,54,36,36,48,18,18,18,15,6,6,12,12,18,18,36,6,6,6,36,
36,36,12,12,12,1,4,8,9,18,18,36,18,18,18,1,6,2,12,6,12,1,3,6,1,2,1],[1,135,25,
12,12,72,243,18,18,108,324,324,522,189,54,54,16,4,16,16,24,72,18,72,162,162,
405,42,36,144,144,6,162,12,648,54,18,18,18,18,36,36,108,36,36,36,198,1,12,12,
16,8,12,12,12,24,24,24,27,27,108,54,54,108,108,54,36,36,48,18,18,18,15,6,6,12,
12,18,18,36,36,36,36,6,6,6,12,12,12,1,4,8,9,18,18,36,18,18,18,1,6,2,12,6,12,1,
3,6,1,2,1],[1,135,16,12,21,18,243,18,45,54,351,324,468,108,54,135,4,4,19,16,6,
18,72,27,18,243,162,324,36,36,144,147,6,162,9,648,54,18,18,18,18,63,36,54,36,
63,36,36,81,27,6,12,12,16,3,1,2,3,3,6,6,6,6,27,27,54,54,54,108,135,27,54,36,
36,48,3,6,9,9,6,6,9,3,12,9,18,18,36,3,12,9,9,3,6,6,6,6,1,1,2,3,6,9,18,18,36,9,
9,9,1,6,1,1,3,3,9,3,6,6,1,3,3,3,1,1,1,1],[1,135,16,21,12,18,243,45,18,54,324,
351,468,108,135,54,4,4,16,19,6,18,72,27,18,162,243,324,36,36,147,144,6,162,9,
648,54,18,18,18,18,36,63,54,63,36,36,36,27,81,6,12,12,16,3,1,2,3,3,6,6,6,6,27,
27,54,54,54,135,108,27,54,36,36,48,3,6,9,9,6,6,3,9,12,9,18,18,36,3,12,9,9,3,6,
6,6,6,1,1,2,3,6,9,18,18,36,9,9,9,1,6,1,1,3,3,9,3,6,6,1,3,3,3,1,1,1,1],[1,13,
117,13,39,39,39,27,1,13,13,13,27,13,1,1],[1,13,117,13,39,39,39,27,1,13,13,13,
27,13,1,1],[1,42,97,8,16,16,18,90,6,30,30,138,138,108,153,16,16,64,64,48,48,
96,8,48,48,64,64,2,15,15,66,66,162,54,54,108,108,90,90,18,36,9,54,54,90,36,16,
12,12,48,48,64,64,48,48,96,96,48,24,48,48,3,3,18,6,18,18,9,9,18,18,18,9,18,9,
9,54,54,54,54,54,54,90,18,36,36,16,16,16,16,16,16,16,12,12,12,12,24,24,2,8,8,
12,12,24,24,8,48,48,24,24,1,18,18,9,9,18,9,9,9,9,18,18,18,18,18,16,16,16,16,
16,16,16,12,12,12,12,12,12,24,24,24,24,6,12,24,24,24,3,3,9,9,9,9,9,16,8,1,1,2,
12,12,6,6,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,54,81,16,12,12,324,243,36,36,
324,324,432,108,108,81,243,243,4,4,16,16,18,72,324,324,81,6,36,36,144,144,162,
648,54,72,72,72,72,12,12,16,108,36,162,54,108,108,216,54,36,36,48,12,12,36,36,
36,108,54,1,36,36,1,6,1,3,3,1,3,3,1],[1,54,81,16,12,12,324,243,36,36,324,324,
432,108,108,81,243,243,4,4,16,16,18,72,324,324,81,6,36,36,144,144,162,648,54,
72,72,72,72,12,12,16,36,108,54,162,108,108,216,54,36,36,48,12,12,36,36,36,108,
54,1,36,36,1,6,3,1,3,1,3,3,1],[1,18,81,16,12,12,162,81,12,12,324,324,432,36,
36,81,162,4,4,16,16,18,72,108,108,81,2,36,36,144,144,162,648,18,24,24,24,24,
12,12,16,36,36,54,54,36,36,72,18,36,36,48,4,4,12,12,18,36,1,12,12,1,2,1,1,1,1,
2,1],[1,18,81,16,12,12,162,81,12,12,324,324,432,36,36,81,162,4,4,16,16,18,72,
108,108,81,2,36,36,144,144,162,648,18,24,24,24,24,12,12,16,36,36,54,54,36,36,
72,18,36,36,48,4,4,12,12,18,36,1,12,12,1,2,1,1,1,1,2,1],[1,18,81,16,12,12,18,
162,162,81,12,12,324,324,432,36,36,81,162,4,4,16,16,18,72,108,108,36,36,108,
108,81,2,36,36,144,144,162,648,18,24,24,24,24,108,108,12,12,16,2,18,36,36,54,
54,36,36,72,18,18,18,36,36,48,4,4,12,12,18,18,18,1,4,4,12,12,12,12,18,1,2,12,
12,1,1,1,2,2,1,2,1],[1,90,81,16,12,12,162,108,108,405,60,60,324,324,432,180,
180,81,81,324,81,4,4,16,16,18,72,108,108,540,540,108,108,81,10,36,36,144,144,
162,648,90,120,120,120,120,108,108,12,12,16,36,36,54,54,36,36,180,180,360,90,
108,108,36,36,48,20,20,60,60,72,72,54,54,18,1,4,4,36,36,60,60,18,1,10,12,12,1,
1,5,4,4,1,1,2,2,1,1],[1,18,153,16,12,12,162,108,108,324,81,12,12,24,24,324,
324,480,144,36,36,72,72,162,324,81,4,4,16,16,18,72,36,36,72,72,108,108,216,
216,432,108,108,81,2,36,36,144,144,8,162,648,18,72,24,24,24,24,24,24,24,24,48,
48,48,48,48,48,108,108,12,12,16,36,36,54,54,12,12,36,36,24,24,36,36,72,72,72,
72,144,144,18,72,36,36,72,72,36,36,48,4,4,8,8,16,12,12,24,24,48,36,36,36,36,
18,18,72,18,1,4,4,12,12,24,24,12,12,24,24,48,18,1,2,8,12,12,1,1,1,4,4,4,2,2,2,
1,1],[1,54,117,16,12,12,9,81,108,54,54,162,243,36,36,12,12,324,324,456,72,108,
108,36,36,81,81,54,162,81,4,4,16,16,18,72,108,18,18,36,36,324,324,108,108,216,
18,18,108,54,54,54,54,81,6,36,36,144,144,4,162,648,54,36,72,72,12,12,72,72,12,
12,24,24,24,24,24,24,108,54,54,18,54,54,54,54,54,12,12,16,1,9,36,6,6,108,108,
12,12,18,18,36,36,216,36,72,72,9,9,54,36,108,18,18,36,36,54,36,36,48,12,12,4,
4,8,36,36,12,12,24,6,18,54,9,9,36,9,9,18,18,1,4,2,2,2,2,6,6,36,6,6,12,12,36,
36,12,12,24,9,9,1,6,4,2,12,6,6,6,6,6,6,6,3,2,4,2,2,1,1,6,1,1,1,2,2,1],[1,54,
117,16,12,12,9,81,108,54,54,162,243,36,36,12,12,324,324,456,72,108,108,36,36,
81,81,54,162,81,4,4,16,16,18,72,108,18,18,36,36,324,324,108,108,216,18,18,108,
54,54,54,54,81,6,36,36,144,144,4,162,648,54,36,72,72,12,12,72,72,12,12,24,24,
24,24,24,24,108,54,54,18,54,54,54,54,54,12,12,16,1,9,36,6,6,108,108,12,12,18,
18,36,36,216,36,72,72,9,9,54,36,108,18,18,36,36,54,36,36,48,12,12,4,4,8,36,36,
12,12,24,6,18,54,9,9,36,9,9,18,18,1,4,2,2,2,2,6,6,36,6,6,12,12,36,36,12,12,24,
9,9,1,6,4,2,12,6,6,6,6,6,6,6,3,2,4,2,2,1,1,6,1,1,1,2,2,1],[1,117,16,12,12,243,
162,12,12,324,324,456,72,36,36,81,81,81,4,4,16,16,18,72,108,108,216,81,36,36,
144,144,4,162,648,36,12,12,12,12,24,24,24,24,24,24,12,12,16,108,162,18,18,36,
36,36,72,72,36,36,36,48,4,4,8,12,12,24,36,18,18,18,1,12,12,24,18,1,4,3,2,1,1,
1,1],[1,117,16,12,12,243,162,12,12,324,324,456,72,36,36,81,81,81,4,4,16,16,18,
72,108,108,216,81,36,36,144,144,4,162,648,36,12,12,12,12,24,24,24,24,24,24,12,
12,16,108,162,18,18,36,36,36,72,72,36,36,36,48,4,4,8,12,12,24,36,18,18,18,1,
12,12,24,18,1,4,3,2,1,1,1,1],[1,36,117,16,12,12,81,162,162,24,24,12,12,324,
324,456,72,72,72,36,36,81,81,81,4,4,16,16,18,72,216,216,108,108,216,81,4,36,
36,144,144,4,162,648,36,36,48,48,12,12,48,48,12,12,24,24,24,24,24,24,12,12,16,
36,54,72,72,18,18,36,36,144,36,72,72,36,36,36,36,48,8,8,4,4,8,24,24,12,12,24,
36,18,18,18,1,24,24,12,12,24,1,4,4,1,2,2,1,1,1,1],[1,36,117,16,12,12,81,162,
162,24,24,12,12,324,324,456,72,72,72,36,36,81,81,81,4,4,16,16,18,72,216,216,
108,108,216,81,4,36,36,144,144,4,162,648,36,36,48,48,12,12,48,48,12,12,24,24,
24,24,24,24,12,12,16,36,54,72,72,18,18,36,36,144,36,72,72,36,36,36,36,48,8,8,
4,4,8,24,24,12,12,24,18,36,18,18,1,24,24,12,12,24,1,4,4,1,2,2,1,1,1,1],[1,117,
13,12,24,27,162,36,48,216,108,180,45,36,144,9,81,81,16,12,24,24,216,108,162,
27,81,48,12,36,72,36,36,12,48,24,72,24,9,9,9,9,27,27,4,1,8,36,36,72,36,27,27,
27,27,4,1,12,12,12,24,9,4,12,3,6,9,4,4,4,1,3,3,4,3,1,1],[1,117,13,24,12,27,
162,48,36,108,216,180,45,144,36,9,81,81,16,12,24,24,108,216,162,27,81,48,12,
36,72,36,12,36,48,24,72,24,9,9,9,9,27,27,4,1,8,36,36,72,36,27,27,27,27,4,1,12,
12,12,24,9,4,12,3,6,9,4,4,4,1,3,3,4,3,1,1],[1,36,99,4,3,42,27,81,54,108,54,
162,81,21,18,18,60,162,27,72,36,18,45,18,180,27,81,108,162,81,16,3,6,24,27,45,
27,18,18,72,81,54,216,54,108,27,27,54,27,27,81,3,24,6,9,18,9,18,6,18,18,6,24,
24,48,72,24,27,27,27,27,27,54,27,27,27,27,27,1,4,8,3,9,12,12,18,6,18,18,18,18,
72,9,18,18,18,18,18,27,27,1,4,3,6,3,6,24,24,12,18,9,9,18,9,4,1,3,3,3,3,3,6,3,
6,12,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,36,99,4,42,3,27,81,54,54,108,162,
81,18,21,60,18,27,162,72,36,45,18,180,18,27,81,108,162,81,16,3,6,24,27,45,18,
27,72,18,54,81,54,216,108,27,27,27,54,27,81,3,24,6,9,18,9,18,18,6,6,18,24,24,
48,72,24,27,27,27,27,54,27,27,27,27,27,27,1,4,8,3,9,12,12,18,18,6,18,18,18,72,
9,18,18,18,18,18,27,27,1,4,3,6,3,6,24,24,12,18,9,9,18,9,4,1,3,3,3,3,3,6,3,6,
12,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,117,25,12,12,72,27,162,36,36,216,
108,108,300,153,36,36,9,81,81,13,4,4,4,24,72,36,108,108,270,27,81,13,12,12,12,
12,24,108,36,36,36,216,12,12,48,156,9,9,9,9,27,27,1,4,8,12,12,12,3,54,36,36,
36,36,27,27,27,27,4,36,36,36,13,12,24,12,12,12,12,4,4,4,1,9,9,9,4,6,3,12,12,
12,12,9,9,4,4,4,1,3,1,1,1,3,4,3,3,3,3,1,1],[1,117,25,12,12,72,27,162,36,36,
216,108,108,300,153,36,36,9,81,81,4,13,4,4,24,36,72,108,108,270,27,81,12,13,
12,12,12,24,108,36,36,36,216,12,12,156,48,9,9,9,9,27,27,1,4,8,12,12,12,3,36,
54,36,36,36,27,27,27,27,4,36,36,36,13,12,24,12,4,4,4,12,12,12,1,9,9,9,4,6,3,
12,12,12,12,9,9,4,4,4,1,3,1,1,1,3,4,3,3,3,3,1,1],[1,46,45,20,20,46,90,90,15,
15,45,45,45,36,60,60,60,60,20,20,15,15,45,45,45,45,45,45,45,90,10,36,36,36,15,
15,60,60,20,20,60,60,15,15,45,45,45,45,45,10,10,10,36,36,36,15,15,15,15,15,15,
60,60,45,10,10,10,10,10,10,10,36,15,15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,
6,6,1,1,1],[1,76,75,20,20,45,135,15,120,135,150,90,225,36,100,60,40,60,60,20,
140,120,75,150,45,135,45,135,270,135,135,135,135,10,36,36,36,15,15,140,20,120,
180,60,120,60,60,15,15,45,135,135,135,135,10,10,10,40,40,36,72,15,15,15,45,30,
15,45,30,60,60,45,10,10,20,20,20,20,10,20,20,36,15,15,15,15,45,30,45,30,6,6,
20,20,10,10,10,15,15,6,6,12,12,10,6,6,1,1,2,1],[1,76,75,20,20,45,135,120,15,
150,135,90,225,36,60,100,40,60,60,140,20,120,75,45,150,135,135,45,270,135,135,
135,135,10,36,36,36,15,15,140,20,120,60,180,120,60,60,15,15,45,135,135,135,
135,10,10,10,40,40,36,72,15,15,45,15,30,45,15,30,60,60,45,10,10,20,20,20,20,
10,20,20,36,15,15,15,45,15,30,45,30,6,6,20,20,10,10,10,15,15,6,6,12,12,10,6,6,
1,1,2,1],[1,81,34,21,21,180,27,27,324,81,81,216,162,81,81,16,16,19,19,60,126,
18,99,54,108,126,18,18,9,9,9,9,9,18,18,81,81,27,27,27,27,54,54,324,54,54,135,
135,81,81,18,18,1,1,12,12,19,6,12,14,14,1,1,6,6,8,8,30,21,21,24,21,21,24,24,
24,24,24,6,6,6,6,6,6,6,6,3,27,27,54,27,27,9,9,9,9,9,9,18,18,18,27,27,54,9,9,9,
9,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,1,4,4,24,7,7,8,8,
2,2,3,3,6,6,12,12,6,6,6,6,12,12,9,3,3,3,3,6,6,3,3,3,3,6,6,9,9,9,9,18,18,18,18,
1,1,1,1,1,2,2,2,2,3,3,3,3,3,6,6,6,6,1,1],[1,81,34,21,21,180,324,324,432,162,
81,81,16,16,19,19,60,126,18,99,54,108,126,18,18,36,36,144,144,162,648,81,27,
27,108,108,81,81,1,1,12,12,19,6,12,14,14,1,1,6,6,8,8,30,21,21,24,21,21,24,24,
24,24,24,6,6,6,6,6,6,6,6,36,36,48,9,9,9,9,27,36,36,36,9,9,9,9,9,9,36,36,36,1,
4,4,24,7,7,8,8,2,2,3,3,6,6,12,12,6,6,6,6,12,12,1,12,3,3,12,9,9,9,9,9,9,1,1,1,
1,1,2,2,2,2,1,1,1,1,3,1,1],[1,81,34,21,21,180,108,108,648,216,162,81,81,16,16,
19,19,60,126,18,99,54,108,126,18,18,9,9,36,54,108,72,72,81,27,27,27,27,135,
135,648,54,54,135,135,1,1,12,12,19,6,12,14,14,1,1,6,6,8,8,30,21,21,24,21,21,
24,24,24,24,24,6,6,6,6,6,6,6,6,9,9,54,54,72,72,108,108,108,108,108,9,9,9,9,45,
54,108,72,72,27,27,54,9,9,9,9,9,9,18,18,18,18,18,18,1,4,4,24,7,7,8,8,2,2,3,3,
6,6,12,12,6,6,6,6,12,12,9,12,12,12,12,72,9,9,18,18,9,9,18,18,1,1,1,1,1,2,2,2,
2,1,3,3,3,3,1,1],[1,90,65,40,10,210,30,130,50,150,70,60,225,96,120,80,40,120,
80,10,15,75,30,150,90,70,30,180,180,90,210,90,60,45,90,90,90,60,96,50,120,40,
80,120,80,40,40,40,40,1,15,10,30,10,30,45,15,30,30,90,15,30,45,15,30,90,90,90,
90,30,90,30,60,60,96,10,70,60,40,30,60,40,40,40,40,40,40,40,5,30,10,15,45,30,
15,45,15,15,30,30,30,30,30,10,10,10,30,60,30,20,10,10,40,40,16,5,15,15,15,15,
15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,90,65,40,10,210,
30,50,130,70,150,60,225,96,120,80,40,120,80,10,75,15,150,30,90,30,70,180,180,
90,210,90,60,45,90,90,90,60,96,50,120,40,80,120,80,40,40,40,40,15,1,10,30,30,
10,15,45,30,90,30,15,30,45,15,90,30,90,90,30,90,90,30,60,60,96,10,70,60,40,30,
60,40,40,40,40,40,40,40,5,10,30,45,15,30,45,15,15,15,30,30,30,30,30,10,10,10,
30,60,30,20,10,10,40,40,16,15,5,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,
6,5,5,5,10,6,5,1,1],[1,81,52,12,12,288,243,324,324,432,324,81,4,52,16,16,96,
18,72,288,36,36,144,144,162,648,432,81,4,12,12,16,32,48,48,48,96,96,96,108,
162,36,36,48,36,144,144,144,36,1,16,32,1,48,36,4,3,4,1,1],[1,81,52,12,12,288,
243,324,324,432,324,81,52,4,16,16,96,288,18,72,36,36,144,144,162,648,432,81,4,
12,12,16,32,48,48,48,96,96,96,108,162,36,36,48,36,144,144,144,36,1,16,32,1,48,
36,4,3,4,1,1],[1,81,16,48,12,72,243,324,324,432,324,81,4,4,16,28,24,18,72,108,
72,36,36,144,144,162,648,108,324,81,12,12,16,12,4,8,12,12,24,24,24,24,108,162,
36,36,48,36,36,36,36,36,1,4,8,12,24,1,12,36,9,4,3,4,1,1],[1,81,16,12,48,72,
243,324,324,432,324,81,4,4,28,16,24,18,72,108,72,36,36,144,144,162,648,108,
324,81,12,12,16,12,4,8,12,12,24,24,24,24,108,162,36,36,48,36,36,36,36,36,1,4,
8,12,24,1,12,36,9,4,3,4,1,1],[1,81,16,48,12,72,243,324,324,432,324,81,4,4,16,
28,24,18,72,108,72,36,36,144,144,162,648,108,324,81,12,12,16,12,4,8,12,12,24,
24,24,24,108,162,36,36,48,36,36,36,36,36,1,4,8,12,24,1,12,36,9,4,3,4,1,1],[1,
81,16,12,48,72,243,324,324,432,324,81,4,4,28,16,24,18,72,108,72,36,36,144,144,
162,648,108,324,81,12,12,16,12,4,8,12,12,24,24,24,24,108,162,36,36,48,36,36,
36,36,36,1,4,8,12,24,1,12,36,9,4,3,4,1,1],[1,81,25,12,12,72,243,108,108,648,
216,81,81,13,13,4,4,24,72,36,54,108,72,243,9,9,36,54,108,72,72,108,108,648,
108,108,81,1,1,4,6,12,8,8,1,1,6,6,8,8,12,12,12,12,12,27,27,54,9,9,54,54,72,72,
108,108,108,108,108,9,9,36,54,108,72,72,9,9,4,4,24,4,4,27,27,54,27,27,54,54,
12,12,12,12,72,9,9,9,9,1,1,3,1],[1,81,25,12,12,72,243,324,324,432,81,81,4,16,
16,16,24,18,72,72,243,36,36,144,144,162,648,108,81,1,12,12,16,8,12,12,12,24,
24,24,108,162,36,36,48,9,36,36,36,36,1,4,8,27,1,12,9,1,3,1,1,3,1],[1,81,25,12,
12,72,243,324,324,432,81,81,16,4,16,16,24,72,18,72,243,36,36,144,144,162,648,
108,81,1,12,12,16,8,12,12,12,24,24,24,108,162,36,36,48,9,36,36,36,36,1,4,8,27,
1,12,9,1,3,1,1,3,1],[1,189,25,12,12,72,81,486,36,36,216,324,324,612,297,108,
108,243,16,4,16,16,24,72,18,72,324,324,810,81,48,36,144,144,12,162,24,648,108,
36,36,36,36,72,72,216,72,72,72,288,81,1,12,12,16,8,12,12,12,24,24,24,36,54,54,
54,216,108,108,216,216,108,36,36,48,36,36,36,21,12,12,24,24,36,36,72,36,36,36,
12,12,12,24,24,24,54,54,1,4,8,18,9,36,36,72,36,36,36,1,12,4,12,12,24,9,1,1,6,
12,1,4,3,1,2,1],[1,189,25,12,12,72,81,486,36,36,216,324,324,612,297,108,108,
243,4,16,16,16,24,18,72,72,324,324,810,81,36,48,144,144,12,162,24,648,108,36,
36,36,36,72,72,216,72,72,288,72,81,1,12,12,16,8,12,12,12,24,24,24,36,54,54,54,
108,216,108,216,216,108,36,36,48,36,36,36,21,12,12,24,24,36,36,72,12,12,12,36,
36,36,24,24,24,54,54,1,4,8,18,9,36,36,72,36,36,36,1,12,4,12,12,24,9,1,1,6,12,
1,4,3,1,2,1],[1,81,25,12,12,72,81,108,108,648,216,81,243,13,13,4,4,24,72,36,
54,108,72,81,9,9,36,54,108,72,72,108,108,648,108,108,81,1,1,4,6,12,8,8,1,1,6,
6,8,8,12,12,12,12,12,9,9,18,9,9,54,54,72,72,108,108,108,108,108,9,9,36,54,108,
72,72,27,27,54,4,4,24,4,4,9,9,18,9,9,18,18,12,12,12,12,72,9,9,18,18,9,9,18,1,
1,1,1],[1,81,25,12,12,72,81,324,324,432,81,243,16,4,16,16,24,72,18,72,81,36,
36,144,144,162,648,108,81,1,12,12,16,8,12,12,12,24,24,24,36,54,36,36,48,9,36,
36,36,54,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,81,25,12,12,72,81,324,324,432,81,243,
4,16,16,16,24,18,72,72,81,36,36,144,144,162,648,108,81,1,12,12,16,8,12,12,12,
24,24,24,36,54,36,36,48,9,36,36,36,54,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,27,54,16,
48,12,72,27,27,81,18,18,18,18,108,36,108,54,54,54,54,81,4,4,16,28,24,18,72,
108,72,27,54,27,27,54,54,54,27,81,3,12,6,27,54,36,36,18,18,36,36,18,18,36,36,
36,36,36,36,108,24,27,27,81,12,12,16,12,4,8,12,12,24,24,24,24,3,9,9,18,27,27,
27,54,27,6,6,6,6,12,12,18,18,18,18,36,12,12,12,24,24,24,24,9,27,27,1,4,8,12,
24,1,3,6,6,9,9,18,3,6,4,12,24,3,9,4,1,3,1,2,3,4,1,3,1,1],[1,27,54,16,12,48,72,
27,27,81,18,18,18,18,108,36,108,54,54,54,54,81,4,4,28,16,24,18,72,108,72,27,
54,27,27,54,54,54,27,81,3,12,6,27,54,36,36,18,18,36,36,18,18,36,36,36,36,36,
36,108,24,27,27,81,12,12,16,12,4,8,12,12,24,24,24,24,3,9,9,18,27,27,27,54,27,
6,6,6,6,12,12,18,18,18,18,36,12,12,12,24,24,24,24,9,27,27,1,4,8,12,24,1,3,6,6,
9,9,18,3,6,4,12,24,3,9,4,1,3,1,2,3,4,1,3,1,1],[1,27,54,16,48,12,72,243,27,81,
18,18,126,18,216,36,108,54,54,54,54,243,4,4,16,28,24,18,72,108,72,27,54,27,27,
54,27,81,162,162,3,6,36,27,54,36,36,18,18,36,36,18,18,36,144,216,36,36,36,36,
81,162,81,81,12,12,16,12,4,8,12,12,24,24,24,24,27,9,9,18,27,27,27,54,27,12,24,
36,36,6,6,6,6,12,36,18,18,18,18,36,27,27,27,1,4,8,12,24,1,3,18,18,9,9,18,3,6,
4,12,24,9,9,4,1,3,1,2,3,4,3,6,3,1,1],[1,27,54,16,12,48,72,243,27,81,18,18,18,
126,216,36,108,54,54,54,54,243,4,4,28,16,24,18,72,108,72,27,54,27,27,54,27,81,
162,162,3,6,36,27,54,36,36,18,18,36,36,18,18,144,36,216,36,36,36,36,81,162,81,
81,12,12,16,12,4,8,12,12,24,24,24,24,27,9,9,18,27,27,27,54,27,12,24,36,36,6,6,
6,6,12,36,18,18,18,18,36,27,27,27,1,4,8,12,24,1,3,18,18,9,9,18,3,6,4,12,24,9,
9,4,1,3,1,2,3,4,3,6,3,1,1],[1,189,25,12,12,72,81,486,108,108,648,108,108,468,
297,108,108,243,13,13,4,4,24,72,36,54,108,72,324,324,810,81,21,21,12,12,36,54,
108,72,72,108,108,108,108,648,36,36,252,252,108,108,81,1,1,4,6,12,8,8,1,1,6,6,
8,8,12,12,12,12,12,9,9,18,162,162,108,108,108,108,4,9,9,54,54,72,72,108,108,
108,108,108,21,21,12,12,36,54,108,72,72,36,12,12,12,12,12,12,12,12,12,12,12,
12,27,27,4,4,24,4,4,18,18,36,9,9,18,36,9,9,18,18,18,18,36,36,36,36,36,12,12,
12,12,72,4,4,4,4,12,12,12,12,9,9,9,9,1,12,12,12,12,1,4,1,2,1],[1,54,81,16,12,
48,72,108,243,36,36,324,324,432,108,108,324,81,4,4,28,16,24,18,72,108,72,27,
54,108,324,324,108,6,36,36,144,144,162,648,54,72,72,72,72,108,324,81,108,12,
12,16,12,4,8,12,12,24,24,24,24,36,108,108,216,54,108,27,36,36,48,12,12,36,36,
36,36,36,36,54,27,1,4,8,12,24,4,36,36,36,1,6,12,36,12,4,3,4,1,2,4,1,3,1,1],[1,
54,81,16,48,12,72,108,243,36,36,324,324,432,108,108,324,81,4,4,16,28,24,18,72,
108,72,27,54,108,324,324,108,6,36,36,144,144,162,648,54,72,72,72,72,108,324,
81,108,12,12,16,12,4,8,12,12,24,24,24,24,36,108,108,216,54,108,27,36,36,48,12,
12,36,36,36,36,36,36,54,27,1,4,8,12,24,4,36,36,36,1,6,12,36,12,4,3,4,1,2,4,1,
3,1,1],[1,162,81,16,12,12,486,324,324,729,108,108,324,324,432,324,324,162,243,
243,1458,729,4,4,16,16,18,72,324,324,972,972,324,324,486,729,18,36,36,144,144,
162,648,162,216,216,216,216,324,324,12,12,16,81,108,108,162,162,108,108,324,
324,648,162,324,324,36,36,48,36,36,108,108,36,36,324,324,162,162,162,1,12,12,
108,108,108,108,162,1,18,36,36,3,3,9,12,12,1,1,3,3,9,9,9,3,3,9,1],[1,54,153,
16,12,12,324,108,108,324,243,36,36,24,24,324,324,480,144,108,108,72,72,81,162,
243,324,243,162,4,4,16,16,18,72,36,36,72,72,324,324,216,216,432,108,108,81,81,
81,162,162,6,36,36,144,144,8,162,648,54,72,72,72,24,24,72,72,24,24,48,48,48,
48,48,48,108,108,12,12,16,81,36,108,54,162,12,12,108,108,24,24,36,36,72,72,
216,72,144,144,54,72,36,36,72,72,36,36,48,12,12,8,8,16,36,36,24,24,48,36,36,
108,36,36,36,18,18,72,54,36,1,4,4,12,12,24,24,36,36,24,24,48,18,36,1,6,8,12,
12,3,1,3,4,4,4,1,2,3,2,2,3,2,1,1,1,2,2,1],[1,54,153,16,12,12,324,108,108,324,
243,36,36,24,24,324,324,480,144,108,108,72,72,81,162,243,324,243,162,4,4,16,
16,18,72,36,36,72,72,324,324,216,216,432,108,108,81,81,81,162,162,6,36,36,144,
144,8,162,648,54,72,72,72,24,24,72,72,24,24,48,48,48,48,48,48,108,108,12,12,
16,81,108,36,162,54,12,12,108,108,24,24,36,36,72,72,216,72,144,144,54,72,36,
36,72,72,36,36,48,12,12,8,8,16,36,36,24,24,48,36,36,108,36,36,36,18,18,72,54,
36,1,4,4,12,12,24,24,36,36,24,24,48,18,36,1,6,8,12,12,1,3,3,4,4,4,1,2,3,2,2,3,
2,1,1,1,2,2,1],[1,90,81,16,12,12,162,108,108,405,60,60,324,324,432,180,180,81,
81,324,81,324,4,4,16,16,18,72,108,108,540,540,108,108,81,162,10,36,36,144,144,
162,648,90,120,120,120,120,108,108,12,12,16,81,36,36,54,54,36,36,180,180,360,
90,108,108,36,36,48,20,20,60,60,72,72,54,54,18,36,36,1,4,4,36,36,60,60,18,1,
10,12,12,1,1,5,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,54,81,16,12,12,18,162,324,243,36,
36,324,324,432,108,108,81,243,243,162,162,4,4,16,16,18,72,324,324,36,36,108,
108,81,81,81,6,36,36,144,144,162,648,54,72,72,72,72,108,108,12,12,16,81,2,18,
36,108,54,162,108,108,216,18,18,54,36,36,48,12,12,36,36,36,108,18,54,18,36,1,
4,4,12,12,36,36,18,1,6,12,12,3,1,3,2,2,1,3,3,2,2,1,1,1,1],[1,54,81,16,12,12,
18,162,324,243,36,36,324,324,432,108,108,81,243,243,162,162,4,4,16,16,18,72,
324,324,36,36,108,108,81,81,81,6,36,36,144,144,162,648,54,72,72,72,72,108,108,
12,12,16,81,2,18,108,36,162,54,108,108,216,18,18,54,36,36,48,12,12,36,36,36,
108,18,54,18,36,1,4,4,12,12,36,36,18,1,6,12,12,1,3,3,2,2,1,3,3,2,2,1,1,1,1],[
1,90,153,16,12,12,18,162,162,108,108,108,108,324,405,60,60,24,24,324,324,480,
144,180,180,72,72,81,81,162,108,108,324,324,324,324,81,162,4,4,16,16,18,72,
108,108,36,36,72,72,540,540,216,216,432,36,36,108,108,108,108,108,108,81,81,
81,162,162,10,36,36,144,144,8,162,648,90,72,120,120,24,24,120,120,24,24,48,48,
48,48,48,48,108,108,108,108,36,36,108,108,108,108,108,108,108,108,12,12,16,81,
2,18,36,36,54,54,36,36,12,12,180,180,24,24,36,36,72,72,360,72,144,144,18,18,
90,72,108,108,36,36,72,72,108,108,36,36,48,20,20,8,8,16,60,60,24,24,48,12,12,
36,36,36,72,72,36,36,36,54,54,18,18,72,18,18,18,36,36,36,36,1,4,4,4,4,4,4,12,
12,36,36,12,12,24,24,60,60,24,24,48,18,18,18,18,18,18,18,1,10,8,4,4,12,12,12,
12,12,12,12,12,12,12,12,12,18,1,1,5,4,4,4,4,4,2,2,12,12,1,1,2,2,2,2,2,1,2,4,4,
4,4,1,1,1,2,2,1],[1,106,105,20,20,46,270,90,120,120,240,240,180,405,36,100,
100,40,40,60,60,140,140,120,120,75,75,180,180,270,150,150,360,360,270,270,180,
180,45,180,180,270,10,36,36,36,15,15,140,140,20,20,120,120,180,180,120,120,20,
20,60,60,60,60,60,60,15,15,30,60,60,45,45,90,90,90,45,90,45,45,180,180,180,
180,180,180,270,10,10,10,40,40,40,40,36,36,36,72,72,15,15,45,45,30,30,45,45,
30,30,60,60,60,60,20,20,60,60,60,60,60,60,60,60,60,60,45,45,90,45,90,90,90,10,
10,10,10,20,20,20,20,20,20,20,20,10,10,10,20,20,20,20,36,36,36,15,15,15,15,15,
15,45,45,30,30,45,45,30,30,15,15,15,15,60,60,6,6,45,20,20,20,20,20,20,20,20,
10,10,10,10,10,10,10,20,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
6,6,12,12,12,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,1,2,2,1,1,1,
1],[1,243,34,21,21,180,729,135,135,972,405,405,864,486,243,243,16,16,19,19,60,
126,18,99,54,108,126,18,18,729,729,1458,54,54,153,153,45,162,54,108,90,90,729,
243,54,54,54,54,189,189,972,135,135,378,378,162,162,18,18,1,1,12,12,19,6,12,
14,14,1,1,6,6,8,8,30,21,21,24,21,21,24,24,24,24,24,6,6,6,6,6,6,6,6,81,81,324,
324,162,405,405,162,243,36,36,51,9,9,54,54,72,72,135,135,162,135,135,27,27,18,
18,18,18,63,54,108,90,90,54,54,135,54,45,45,18,18,27,27,27,27,54,45,45,36,36,
36,36,36,36,18,18,18,18,18,18,18,18,1,4,4,24,7,7,8,8,2,2,3,3,6,6,12,12,6,6,6,
6,12,12,27,27,54,54,54,135,27,27,81,81,81,81,108,1,18,15,15,12,12,72,3,3,6,6,
15,6,6,15,6,6,18,18,27,27,36,36,9,9,9,9,18,18,18,18,1,1,1,1,1,2,2,2,2,9,27,27,
18,18,9,9,1,1,1,1,1,6,6,6,3,3,3,3,6,6,6,6,1,3,3,3,3,3,1,1,1,1],[1,54,81,52,12,
12,288,324,243,36,36,324,324,432,324,108,108,81,243,243,52,4,16,16,96,288,18,
72,324,324,324,81,6,36,36,144,144,162,648,54,72,72,72,72,432,81,4,12,12,16,32,
48,48,48,96,96,96,36,108,54,162,108,108,216,54,81,36,36,48,36,12,12,36,36,144,
144,144,36,108,54,1,16,32,36,36,36,1,6,48,36,4,3,1,3,4,1,3,3,4,1,1,1],[1,54,
81,52,12,12,288,324,243,36,36,324,324,432,324,108,108,81,243,243,4,52,16,16,
96,18,72,288,324,324,324,81,6,36,36,144,144,162,648,54,72,72,72,72,432,81,4,
12,12,16,32,48,48,48,96,96,96,108,36,162,54,108,108,216,54,81,36,36,48,36,12,
12,36,36,144,144,144,36,108,54,1,16,32,36,36,36,1,6,48,36,4,1,3,3,4,1,3,3,4,1,
1,1],[1,189,52,12,12,288,243,486,36,36,432,324,324,720,540,108,108,81,243,243,
52,4,16,16,96,288,18,72,324,324,972,243,60,36,144,144,12,162,48,648,108,36,36,
36,36,72,72,432,72,72,72,720,81,4,12,12,16,32,48,48,48,96,96,96,108,162,54,54,
324,108,108,216,216,108,81,36,36,48,72,72,72,60,12,12,24,48,36,36,72,144,144,
144,24,24,24,48,48,48,36,54,54,54,1,16,32,36,36,36,72,72,72,72,54,1,12,8,48,
24,48,36,4,3,6,24,18,4,8,1,3,3,4,3,1,1],[1,189,52,12,12,288,243,486,36,36,432,
324,324,720,540,108,108,81,243,243,4,52,16,16,96,18,72,288,324,324,972,243,36,
60,144,144,12,162,48,648,108,36,36,36,36,72,72,432,72,72,720,72,81,4,12,12,16,
32,48,48,48,96,96,96,108,162,54,54,108,324,108,216,216,108,81,36,36,48,72,72,
72,60,12,12,24,48,36,36,72,24,24,24,144,144,144,48,48,48,36,54,54,54,1,16,32,
36,36,36,72,72,72,72,54,1,12,8,48,24,48,36,4,3,6,24,18,4,8,1,3,3,4,3,1,1],[1,
189,16,48,12,72,243,486,144,36,216,324,432,504,216,432,108,81,243,243,4,4,16,
28,24,18,72,108,72,324,648,648,243,36,36,156,144,12,162,36,648,108,36,36,36,
36,72,180,216,180,72,72,72,108,324,24,81,12,12,16,12,4,8,12,12,24,24,24,24,
108,162,54,54,108,108,108,324,216,108,108,81,36,36,48,12,24,36,36,12,12,12,36,
24,36,36,36,72,12,48,36,36,12,24,24,24,24,36,54,54,54,1,4,8,12,24,36,36,36,72,
36,36,36,54,1,12,4,4,12,12,36,12,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,1,1],[
1,189,16,12,48,72,243,486,36,144,216,432,324,504,216,108,432,81,243,243,4,4,
28,16,24,18,72,108,72,648,324,648,243,36,36,144,156,12,162,36,648,108,36,36,
36,36,180,72,216,72,180,72,72,324,108,24,81,12,12,16,12,4,8,12,12,24,24,24,24,
108,162,54,54,108,108,108,216,324,108,108,81,36,36,48,12,24,36,36,12,12,36,12,
24,36,36,36,72,12,48,36,36,12,24,24,24,24,36,54,54,54,1,4,8,12,24,36,36,36,72,
36,36,36,54,1,12,4,4,12,12,36,12,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,1,1],[
1,189,16,12,48,72,243,486,36,144,216,432,324,504,216,108,432,81,243,243,4,4,
28,16,24,18,72,108,72,648,324,648,243,36,36,144,156,12,162,36,648,108,36,36,
36,36,180,72,216,72,180,72,72,324,108,24,81,12,12,16,12,4,8,12,12,24,24,24,24,
108,162,54,54,108,108,108,216,324,108,108,81,36,36,48,12,24,36,36,12,12,36,12,
24,36,36,36,72,12,48,36,36,12,24,24,24,24,36,54,54,54,1,4,8,12,24,36,36,36,72,
36,36,36,54,1,12,4,4,12,12,36,12,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,1,1],[
1,189,16,48,12,72,243,486,144,36,216,324,432,504,216,432,108,81,243,243,4,4,
16,28,24,18,72,108,72,324,648,648,243,36,36,156,144,12,162,36,648,108,36,36,
36,36,72,180,216,180,72,72,72,108,324,24,81,12,12,16,12,4,8,12,12,24,24,24,24,
108,162,54,54,108,108,108,324,216,108,108,81,36,36,48,12,24,36,36,12,12,12,36,
24,36,36,36,72,12,48,36,36,12,24,24,24,24,36,54,54,54,1,4,8,12,24,36,36,36,72,
36,36,36,54,1,12,4,4,12,12,36,12,24,24,9,4,3,6,12,12,9,4,4,4,1,3,3,4,3,1,1],[
1,54,189,16,12,48,72,27,243,108,162,162,486,243,36,36,36,144,216,432,324,504,
216,108,108,108,432,81,243,162,486,243,4,4,28,16,24,18,72,108,72,27,54,108,54,
54,108,108,324,324,648,324,648,54,54,108,162,162,162,162,243,6,36,36,144,156,
12,162,36,648,54,108,72,72,36,36,72,72,36,36,180,72,216,72,180,72,72,324,108,
24,27,81,162,81,108,162,162,54,162,162,162,162,162,12,12,16,12,4,8,12,12,24,
24,24,24,3,27,36,18,18,108,108,36,36,54,54,108,108,216,108,216,324,108,27,27,
54,108,108,54,54,108,108,27,81,162,36,36,48,12,24,36,36,12,12,12,12,36,12,24,
36,36,36,36,36,72,12,48,36,36,12,24,24,24,24,18,54,54,27,27,108,27,27,27,27,
27,54,54,1,4,8,12,24,4,6,6,36,6,6,18,18,36,18,18,36,36,36,36,36,36,72,36,36,
36,27,27,27,1,6,12,4,4,12,12,36,12,24,24,6,12,18,18,18,18,18,18,18,4,3,6,4,6,
6,1,2,3,3,12,12,18,4,4,4,1,3,1,3,3,6,6,3,6,1,4,3,3,1,1,1,1],[1,54,189,16,48,
12,72,27,243,108,162,162,486,243,36,36,144,36,216,324,432,504,216,108,108,432,
108,81,243,162,486,243,4,4,16,28,24,18,72,108,72,27,54,108,54,54,108,108,324,
324,324,648,648,54,54,108,162,162,162,162,243,6,36,36,156,144,12,162,36,648,
54,108,72,72,36,36,72,72,36,36,72,180,216,180,72,72,72,108,324,24,27,81,162,
81,108,162,162,54,162,162,162,162,162,12,12,16,12,4,8,12,12,24,24,24,24,3,27,
36,18,18,108,108,36,36,54,54,108,108,216,108,324,216,108,27,27,54,108,108,54,
54,108,108,27,81,162,36,36,48,12,24,36,36,12,12,12,12,12,36,24,36,36,36,36,36,
72,12,48,36,36,12,24,24,24,24,18,54,54,27,27,108,27,27,27,27,27,54,54,1,4,8,
12,24,4,6,6,36,6,6,18,18,36,18,18,36,36,36,36,36,36,72,36,36,36,27,27,27,1,6,
12,4,4,12,12,36,12,24,24,6,12,18,18,18,18,18,18,18,4,3,6,4,6,6,1,2,3,3,12,12,
18,4,4,4,1,3,1,3,3,6,6,3,6,1,4,3,3,1,1,1,1],[1,189,25,12,12,72,243,486,36,36,
216,324,324,612,297,108,108,81,243,243,16,4,16,16,24,72,18,72,324,324,810,243,
243,48,36,144,144,12,162,24,648,108,36,36,36,36,72,72,216,72,72,72,288,81,81,
81,1,12,12,16,8,12,12,12,24,24,24,108,162,54,54,216,108,108,216,216,108,81,36,
36,48,36,36,36,21,12,12,24,24,36,36,72,36,36,36,12,12,12,24,24,24,36,54,54,54,
1,4,8,18,27,36,36,72,36,36,36,54,1,12,4,12,12,24,9,9,9,1,3,6,12,9,1,4,1,3,3,3,
2,3,1,1,1,1],[1,189,25,12,12,72,243,486,36,36,216,324,324,612,297,108,108,81,
243,243,4,16,16,16,24,18,72,72,324,324,810,243,243,36,48,144,144,12,162,24,
648,108,36,36,36,36,72,72,216,72,72,288,72,81,81,81,1,12,12,16,8,12,12,12,24,
24,24,108,162,54,54,108,216,108,216,216,108,81,36,36,48,36,36,36,21,12,12,24,
24,36,36,72,12,12,12,36,36,36,24,24,24,36,54,54,54,1,4,8,18,27,36,36,72,36,36,
36,54,1,12,4,12,12,24,9,9,9,1,3,6,12,9,1,4,1,3,3,3,2,3,1,1,1,1],[1,189,25,12,
12,72,243,486,108,108,648,108,108,468,297,108,108,81,243,243,13,13,4,4,24,72,
36,54,108,72,324,324,810,243,243,21,21,12,12,36,54,108,72,72,108,108,108,108,
648,36,36,252,252,108,108,81,81,81,1,1,4,6,12,8,8,1,1,6,6,8,8,12,12,12,12,12,
27,27,54,162,162,108,108,108,108,81,4,9,9,54,54,72,72,108,108,108,108,108,21,
21,12,12,36,54,108,72,72,36,12,12,12,12,12,12,12,12,12,12,12,12,9,9,27,27,27,
27,54,4,4,24,4,4,18,18,36,27,27,54,36,27,27,54,54,18,18,36,36,36,36,36,27,27,
12,12,12,12,72,4,4,4,4,12,12,12,12,9,9,9,9,9,9,9,9,18,18,9,9,9,9,18,1,12,12,
12,12,9,9,9,9,1,4,3,2,1,1,1,1],[1,162,153,16,12,12,18,162,486,324,324,108,108,
324,729,108,108,24,24,324,324,480,144,324,324,72,72,162,243,243,162,108,108,
324,324,1458,324,729,162,324,4,4,16,16,18,72,324,324,36,36,72,72,972,972,216,
216,432,36,36,324,324,108,108,108,108,486,81,729,81,162,162,162,324,324,18,36,
36,144,144,8,162,648,162,72,216,216,24,24,216,216,24,24,48,48,48,48,48,48,324,
324,108,108,36,36,108,108,108,108,108,108,108,108,12,12,16,81,81,81,162,162,2,
18,108,108,162,162,108,108,12,12,324,324,24,24,36,36,72,72,648,72,144,144,18,
18,162,72,324,324,36,36,72,72,108,108,36,36,48,36,36,8,8,16,108,108,24,24,48,
81,36,36,12,12,36,36,36,324,324,36,36,36,162,162,18,18,72,18,162,18,36,36,36,
36,36,36,1,12,12,4,4,4,4,12,12,108,108,12,12,24,24,108,108,24,24,48,18,18,18,
18,18,162,18,36,36,1,18,8,4,4,36,36,12,12,12,12,12,12,12,12,12,12,18,3,3,9,4,
12,12,4,4,2,2,12,12,1,1,3,3,2,9,9,2,2,9,2,2,2,4,4,4,4,3,3,1,1,1,9,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,117,52,312,351,234,312,312,468,117,351,351,13,13,104,
234,468,144,351,13,13,312,156,156,234,117,52,39,39,78,78,144,117,52,52,52,13,
13,39,39,39,39,52,39,39,13,13,13,13,1],[1,81,61,48,48,504,243,324,324,432,405,
324,324,81,16,52,28,28,168,288,18,180,216,432,504,72,72,243,36,36,144,144,162,
648,324,108,108,432,108,324,324,81,81,81,81,4,1,12,12,28,24,48,32,56,4,4,24,
24,32,32,84,84,84,96,48,48,24,24,24,96,96,24,24,24,24,24,24,24,24,108,162,36,
36,48,36,9,36,36,108,36,36,36,36,36,36,36,36,36,144,144,144,36,81,1,16,16,96,
16,28,8,32,8,8,12,12,24,24,48,48,24,24,24,24,48,48,27,1,12,12,12,48,36,36,36,
36,36,36,9,36,9,9,4,4,1,4,4,8,8,8,8,3,4,1,4,4,12,1,9,4,3,4,1,1,1,1,1],[1,81,
61,48,48,504,243,324,324,432,405,324,324,81,52,16,28,28,168,504,18,180,216,
432,288,72,72,243,36,36,144,144,162,648,324,108,108,108,432,324,324,81,81,81,
81,1,4,12,12,28,24,48,56,32,4,4,24,24,32,32,84,48,48,24,84,84,96,96,96,24,24,
24,24,24,24,24,24,24,24,108,162,36,36,48,9,36,36,36,108,144,144,144,36,36,36,
36,36,36,36,36,36,36,81,1,16,16,96,28,16,32,8,8,8,12,12,24,24,48,48,24,24,24,
24,48,48,27,1,48,12,12,12,36,36,36,36,36,36,9,9,9,36,4,1,4,4,4,8,8,8,8,3,1,4,
4,4,12,1,9,4,3,4,1,1,1,1,1],[1,81,61,48,48,504,243,108,108,648,216,405,324,
324,81,25,25,64,64,168,288,72,288,54,108,288,72,72,243,9,9,36,54,108,72,72,
324,108,108,108,108,216,216,648,216,216,216,216,81,81,81,81,1,1,48,48,64,6,12,
32,32,1,1,6,6,8,8,84,48,48,96,48,48,96,96,96,96,96,24,24,24,24,24,24,24,24,27,
27,54,9,9,54,54,72,72,108,108,108,108,108,9,9,36,36,72,54,108,72,72,108,108,
216,36,36,36,36,36,36,72,72,72,72,72,72,9,9,81,4,4,4,24,16,16,32,32,8,8,12,12,
24,24,48,48,24,24,24,24,48,48,27,27,54,27,27,54,54,36,12,12,12,12,72,36,36,72,
72,36,36,72,72,9,9,9,9,9,9,9,9,9,9,1,4,4,4,4,8,8,8,8,1,12,12,12,12,9,9,9,9,4,
3,4,1,1],[1,162,81,52,12,12,288,486,324,324,729,108,108,324,324,432,324,324,
324,162,243,243,1458,729,52,4,16,16,96,288,18,72,324,324,972,972,972,324,324,
486,729,18,36,36,144,144,162,648,162,216,216,216,216,432,81,324,324,324,4,12,
12,16,32,48,48,48,96,96,96,81,108,108,162,162,108,108,324,324,648,162,324,324,
243,36,36,48,36,36,36,108,108,144,144,144,36,36,324,324,162,162,162,1,16,32,
81,12,12,108,108,108,108,108,162,1,18,48,36,36,36,36,4,3,3,9,12,12,4,1,1,3,3,
9,9,9,12,3,3,9,1,4,1,3,1],[1,162,81,52,12,12,288,486,324,324,729,108,108,324,
324,432,324,324,324,162,243,243,1458,729,4,52,16,16,96,18,72,288,324,324,972,
972,972,324,324,486,729,18,36,36,144,144,162,648,162,216,216,216,216,432,81,
324,324,324,4,12,12,16,32,48,48,48,96,96,96,81,108,108,162,162,108,108,324,
324,648,162,324,324,243,36,36,48,36,36,36,108,108,144,144,144,36,36,324,324,
162,162,162,1,16,32,81,12,12,108,108,108,108,108,162,1,18,48,36,36,36,36,4,3,
3,9,12,12,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,162,81,16,12,156,288,486,324,
324,729,108,108,324,324,432,324,324,1296,162,243,243,1458,729,4,4,64,16,96,18,
72,432,288,324,648,324,324,972,972,324,324,486,729,18,36,36,144,144,162,648,
162,216,216,216,216,432,1296,648,972,324,324,12,12,16,48,16,32,48,48,96,96,96,
96,81,108,108,162,162,108,108,324,324,648,162,324,324,324,36,36,48,36,36,144,
108,108,144,144,144,36,36,324,324,162,162,162,324,1,16,32,48,96,81,12,12,108,
108,108,108,162,1,18,48,144,36,36,36,36,16,3,3,9,12,12,12,24,16,1,1,3,3,9,9,9,
36,12,3,3,9,4,4,12,1,1],[1,162,81,16,156,12,288,486,324,324,729,108,108,324,
324,432,324,324,1296,162,243,243,1458,729,4,4,16,64,96,18,72,432,288,324,648,
324,324,972,972,324,324,486,729,18,36,36,144,144,162,648,162,216,216,216,216,
432,1296,648,972,324,324,12,12,16,48,16,32,48,48,96,96,96,96,81,108,108,162,
162,108,108,324,324,648,162,324,324,324,36,36,48,36,36,144,108,108,144,144,
144,36,36,324,324,162,162,162,324,1,16,32,48,96,81,12,12,108,108,108,108,162,
1,18,48,144,36,36,36,36,16,3,3,9,12,12,12,24,16,1,1,3,3,9,9,9,36,12,3,3,9,4,4,
12,1,1],[1,54,297,52,12,12,288,324,324,324,972,243,36,36,72,72,864,324,324,
1008,756,108,108,216,216,81,486,243,972,243,486,52,4,16,16,96,288,18,72,108,
108,216,216,324,324,648,648,1944,324,324,324,81,243,243,486,486,6,84,36,144,
144,24,162,96,648,54,216,72,72,72,72,72,72,72,72,144,144,864,144,144,144,1008,
81,324,324,324,4,12,12,16,32,48,48,48,96,96,96,243,36,108,54,162,36,36,108,
108,72,72,108,108,648,216,216,216,432,432,54,216,108,108,216,216,81,162,36,36,
48,144,144,144,84,12,12,24,24,48,96,36,36,72,72,144,144,144,144,48,48,48,96,
96,96,36,108,108,108,108,108,54,54,216,54,108,1,16,32,81,12,12,72,36,36,36,72,
72,36,36,72,72,144,144,144,144,54,108,1,6,24,16,48,48,96,36,36,36,36,4,3,1,3,
12,12,12,48,36,4,16,1,6,3,6,6,3,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,54,297,52,12,
12,288,324,324,324,972,243,36,36,72,72,864,324,324,1008,756,108,108,216,216,
81,486,243,972,243,486,4,52,16,16,96,18,72,288,108,108,216,216,324,324,648,
648,1944,324,324,324,81,243,243,486,486,6,36,84,144,144,24,162,96,648,54,216,
72,72,72,72,72,72,72,72,144,144,864,144,144,1008,144,81,324,324,324,4,12,12,
16,32,48,48,48,96,96,96,243,108,36,162,54,36,36,108,108,72,72,108,108,216,648,
216,216,432,432,54,216,108,108,216,216,81,162,36,36,48,144,144,144,84,12,12,
24,24,48,96,36,36,72,72,144,48,48,48,144,144,144,96,96,96,36,108,108,108,108,
108,54,54,216,54,108,1,16,32,81,12,12,72,36,36,36,72,72,36,36,72,72,144,144,
144,144,54,108,1,6,24,16,48,48,96,36,36,36,36,4,1,3,3,12,12,12,48,36,4,16,1,6,
3,6,6,3,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,54,81,52,12,12,288,54,486,324,243,36,
36,324,324,432,324,108,108,81,243,243,486,486,4,52,16,16,96,18,72,288,324,324,
108,108,324,324,324,81,243,243,6,36,36,144,144,162,648,54,72,72,72,72,432,81,
324,324,324,4,12,12,16,32,48,48,48,96,96,96,243,6,54,108,36,162,54,108,108,
216,54,54,54,81,36,36,48,36,12,12,36,36,144,144,144,36,108,54,54,54,108,1,16,
32,81,12,12,36,36,36,36,36,54,1,6,48,36,36,36,36,4,1,3,3,6,6,4,1,3,3,6,6,4,1,
3,3,1,4,3,1,1],[1,54,81,52,12,12,288,54,486,324,243,36,36,324,324,432,324,108,
108,81,243,243,486,486,52,4,16,16,96,288,18,72,324,324,108,108,324,324,324,81,
243,243,6,36,36,144,144,162,648,54,72,72,72,72,432,81,324,324,324,4,12,12,16,
32,48,48,48,96,96,96,243,6,54,36,108,54,162,108,108,216,54,54,54,81,36,36,48,
36,12,12,36,36,144,144,144,36,108,54,54,54,108,1,16,32,81,12,12,36,36,36,36,
36,54,1,6,48,36,36,36,36,4,3,1,3,6,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,405,61,
48,48,504,243,1458,216,216,1944,1296,1296,2052,1053,648,648,81,729,729,25,25,
64,64,168,288,72,288,54,108,288,72,72,1944,1944,3402,243,729,153,153,576,576,
72,648,54,108,144,144,2592,648,216,216,216,216,432,432,1944,432,432,756,756,
324,324,72,72,81,81,81,81,243,243,1,1,48,48,64,6,12,32,32,1,1,6,6,8,8,84,48,
48,96,48,48,96,96,96,96,96,24,24,24,24,24,24,24,24,27,27,54,324,324,810,810,
648,1296,1296,324,648,243,243,243,243,144,144,192,9,9,54,54,72,72,216,216,324,
216,216,45,45,72,72,36,36,144,54,108,144,144,216,216,432,180,144,144,36,36,72,
72,72,72,180,144,144,144,144,144,144,144,144,72,72,72,72,72,72,72,72,9,9,81,
81,81,81,81,162,4,4,4,24,16,16,32,32,8,8,12,12,24,24,48,48,24,24,24,24,48,48,
54,54,108,27,27,54,216,216,432,27,27,54,54,54,54,216,216,216,216,324,81,81,81,
4,72,24,24,12,12,72,12,12,24,24,48,12,12,48,24,24,36,36,72,72,144,144,36,36,
36,36,72,72,72,72,9,9,27,27,9,9,9,9,9,9,9,9,27,27,54,54,27,27,27,27,54,1,4,4,
4,4,8,8,8,8,36,72,72,36,36,36,36,27,27,27,27,27,27,27,27,27,27,4,4,1,4,4,24,
24,12,12,12,12,12,24,24,24,24,9,9,9,9,4,3,6,12,12,12,12,9,9,9,9,4,4,4,1,3,3,4,
3,1,1],[1,405,61,48,48,504,243,1458,432,432,3240,648,648,1620,1053,648,648,81,
729,729,16,52,28,28,168,288,18,180,216,432,504,72,72,1944,1944,3402,243,729,
72,108,180,180,144,162,216,432,288,360,972,648,108,108,108,108,540,540,3240,
324,324,1296,648,648,648,72,72,81,81,81,81,243,243,4,1,12,12,28,24,48,32,56,4,
4,24,24,32,32,84,84,84,96,48,48,24,24,24,96,96,24,24,24,24,24,24,24,24,108,
162,162,162,648,972,324,972,972,648,648,243,243,243,243,36,36,60,36,36,216,
216,288,288,540,540,540,432,432,108,45,36,36,72,72,180,216,432,288,360,108,
108,324,108,72,72,72,72,108,108,72,72,180,180,180,144,72,72,144,144,72,72,72,
72,72,72,72,72,72,36,162,162,81,162,1,16,16,96,16,28,8,32,8,8,12,12,24,24,48,
48,24,24,24,24,48,48,54,108,216,27,108,108,324,108,108,216,216,324,324,324,81,
162,1,36,60,48,48,48,288,12,12,24,24,24,24,24,60,24,24,72,72,72,108,144,72,36,
36,36,36,72,72,72,72,9,27,36,9,9,27,4,4,1,4,4,8,8,8,8,3,18,108,72,72,72,36,36,
27,27,54,27,4,1,4,4,4,24,12,24,12,12,12,12,24,24,24,24,1,9,9,9,4,3,12,12,6,12,
12,9,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,405,61,48,48,504,243,1458,432,432,
3240,648,648,1620,1053,648,648,81,729,729,52,16,28,28,168,504,18,180,216,432,
288,72,72,1944,1944,3402,243,729,108,72,180,180,144,162,216,432,360,288,972,
648,108,108,108,108,540,540,3240,324,324,648,1296,648,648,72,72,81,81,81,81,
243,243,1,4,12,12,28,24,48,56,32,4,4,24,24,32,32,84,48,48,24,84,84,96,96,96,
24,24,24,24,24,24,24,24,24,24,108,162,162,162,972,648,324,972,972,648,648,243,
243,243,243,36,36,60,36,36,216,216,288,288,432,432,540,540,540,45,108,36,36,
72,72,180,216,432,360,288,108,108,324,180,180,180,72,72,72,72,108,108,108,72,
72,72,144,144,72,72,144,72,72,72,72,72,72,72,72,36,162,162,81,162,1,16,16,96,
28,16,32,8,8,8,12,12,24,24,48,48,24,24,24,24,48,48,108,54,216,27,108,108,324,
108,108,324,324,216,216,324,81,162,1,36,48,60,48,48,288,12,12,24,24,60,24,24,
24,24,24,72,72,108,72,72,144,36,36,36,36,72,72,72,72,9,27,9,9,36,27,4,1,4,4,4,
8,8,8,8,3,18,72,108,72,72,36,36,54,27,27,27,1,4,4,4,4,12,24,24,12,12,12,12,24,
24,24,24,1,9,9,9,4,3,12,6,12,12,12,9,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,
162,297,16,156,12,288,54,486,486,324,324,324,324,972,729,108,108,504,72,864,
324,756,576,432,324,324,1512,216,162,243,243,486,324,324,972,972,1458,972,729,
486,972,4,4,16,64,96,18,72,432,288,324,648,324,324,108,108,216,216,972,972,
648,1944,1296,108,108,324,324,324,324,324,324,486,243,729,243,486,486,486,972,
972,18,36,36,192,144,24,162,144,648,162,216,216,216,72,72,216,216,72,72,144,
576,864,576,144,144,144,432,1296,96,108,324,648,648,972,324,324,324,324,108,
108,324,324,324,324,324,324,324,324,12,12,16,48,16,32,48,48,96,96,96,96,81,
243,243,486,486,6,54,108,108,162,162,108,108,36,36,324,324,72,72,108,108,216,
216,648,216,864,432,432,54,54,162,216,324,324,108,108,216,216,324,324,648,324,
324,36,36,48,48,96,144,144,36,36,24,24,48,144,48,144,108,108,72,72,144,48,192,
144,144,48,96,96,96,96,243,36,36,36,36,108,108,108,324,324,108,108,108,162,
162,54,54,216,54,162,54,108,324,108,108,108,108,108,108,108,1,16,32,48,96,81,
12,12,12,12,144,12,12,36,36,108,108,36,36,72,72,108,108,72,72,144,144,144,144,
54,54,54,54,54,162,54,108,108,108,1,18,24,16,16,48,48,144,48,96,96,81,12,12,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,54,3,3,9,12,12,12,12,12,12,24,6,
6,48,48,36,36,36,36,16,16,16,1,1,3,3,6,9,9,6,6,9,4,6,6,6,12,24,12,12,36,12,12,
12,16,3,3,3,3,3,9,3,6,6,6,6,6,6,12,4,4,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,
162,297,16,12,156,288,54,486,486,324,324,324,324,972,729,108,108,72,504,864,
756,324,576,432,324,324,216,1512,162,243,243,486,324,324,972,972,1458,972,729,
486,972,4,4,64,16,96,18,72,432,288,324,648,324,324,108,108,216,216,972,972,
1944,648,1296,108,108,324,324,324,324,324,324,486,243,729,243,486,486,486,972,
972,18,36,36,144,192,24,162,144,648,162,216,216,216,72,72,216,216,72,72,576,
144,864,144,576,144,144,1296,432,96,108,324,648,648,972,324,324,324,324,108,
108,324,324,324,324,324,324,324,324,12,12,16,48,16,32,48,48,96,96,96,96,81,
243,243,486,486,6,54,108,108,162,162,108,108,36,36,324,324,72,72,108,108,216,
216,648,216,432,864,432,54,54,162,216,324,324,108,108,216,216,324,324,648,324,
324,36,36,48,48,96,144,144,36,36,24,24,144,48,48,144,108,108,72,72,144,48,192,
144,144,48,96,96,96,96,243,36,36,36,36,108,108,108,324,324,108,108,108,162,
162,54,54,216,54,162,54,108,324,108,108,108,108,108,108,108,1,16,32,48,96,81,
12,12,12,12,144,12,12,36,36,108,108,36,36,72,72,108,108,72,72,144,144,144,144,
54,54,54,54,54,162,54,108,108,108,1,18,24,16,16,48,48,144,48,96,96,81,12,12,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,16,54,3,3,9,12,12,12,12,12,12,24,6,
6,48,48,36,36,36,36,16,16,16,1,1,3,3,6,9,9,6,6,9,4,6,6,6,12,24,12,12,36,12,12,
12,16,3,3,3,3,3,9,3,6,6,6,6,6,6,12,4,4,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,
162,297,52,12,12,288,54,486,486,324,324,324,324,972,729,108,108,72,72,864,324,
324,1008,756,324,324,216,216,162,243,243,486,324,324,972,972,1458,972,729,486,
972,4,52,16,16,96,18,72,288,324,324,108,108,216,216,972,972,648,648,1944,108,
108,972,324,324,324,324,324,324,486,243,729,243,486,486,486,972,972,18,36,84,
144,144,24,162,96,648,162,216,216,216,72,72,216,216,72,72,144,144,864,144,144,
1008,144,81,324,324,324,324,324,108,108,324,324,324,324,324,324,324,324,324,
324,4,12,12,16,32,48,48,48,96,96,96,81,243,243,486,486,6,54,108,108,162,162,
108,108,36,36,324,324,72,72,108,108,216,648,648,216,432,432,54,54,162,216,324,
324,108,108,216,216,243,162,324,324,324,36,36,48,144,144,144,84,36,36,24,24,
48,96,108,108,72,72,144,48,48,48,144,144,144,96,96,96,243,36,36,36,36,108,108,
108,324,324,108,108,108,162,162,54,54,216,54,162,54,108,108,108,108,108,108,1,
16,32,81,81,81,12,12,12,12,72,12,12,108,36,36,108,108,36,36,72,72,108,108,72,
72,144,144,144,144,54,54,54,54,54,162,54,108,108,1,18,24,16,48,48,96,81,36,12,
12,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,4,54,3,3,9,12,12,12,12,12,6,6,
48,36,36,36,36,4,16,1,1,3,3,6,9,9,6,6,9,6,6,6,12,12,12,12,12,8,3,3,3,3,3,9,3,
6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,162,297,52,12,12,288,54,
486,486,324,324,324,324,972,729,108,108,72,72,864,324,324,1008,756,324,324,
216,216,162,243,243,486,324,324,972,972,1458,972,729,486,972,52,4,16,16,96,
288,18,72,324,324,108,108,216,216,972,972,648,648,1944,108,108,972,324,324,
324,324,324,324,486,243,729,243,486,486,486,972,972,18,84,36,144,144,24,162,
96,648,162,216,216,216,72,72,216,216,72,72,144,144,864,144,144,144,1008,81,
324,324,324,324,324,108,108,324,324,324,324,324,324,324,324,324,324,4,12,12,
16,32,48,48,48,96,96,96,81,243,243,486,486,6,54,108,108,162,162,108,108,36,36,
324,324,72,72,108,108,648,216,648,216,432,432,54,54,162,216,324,324,108,108,
216,216,243,162,324,324,324,36,36,48,144,144,144,84,36,36,24,24,48,96,108,108,
72,72,144,144,144,144,48,48,48,96,96,96,243,36,36,36,36,108,108,108,324,324,
108,108,108,162,162,54,54,216,54,162,54,108,108,108,108,108,108,1,16,32,81,81,
81,12,12,12,12,72,12,12,108,36,36,108,108,36,36,72,72,108,108,72,72,144,144,
144,144,54,54,54,54,54,162,54,108,108,1,18,24,16,48,48,96,81,36,12,12,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,4,54,3,3,9,12,12,12,12,12,6,6,48,36,36,
36,36,4,16,1,1,3,3,6,9,9,6,6,9,6,6,6,12,12,12,12,12,8,3,3,3,3,3,9,3,6,6,6,6,6,
6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,1],[1,162,81,88,156,156,1152,486,324,
324,729,108,108,324,324,432,648,324,324,1296,1296,162,243,243,1458,729,52,52,
64,64,384,1152,18,504,864,1728,1152,288,288,324,324,648,648,324,324,972,972,
1944,324,324,486,729,18,36,36,144,144,162,648,162,1296,216,216,216,216,432,
432,432,432,1296,1296,162,648,648,972,972,648,324,324,4,4,12,12,64,96,192,128,
128,16,16,96,96,128,128,192,192,192,96,192,192,96,96,96,96,96,96,96,96,96,96,
96,96,96,81,108,108,162,162,108,108,324,324,648,162,324,324,324,324,486,36,36,
48,36,36,36,36,144,144,108,108,432,144,144,144,144,144,144,144,144,144,144,
144,144,36,36,324,324,162,162,162,324,324,648,1,64,64,384,64,64,32,32,32,32,
48,48,96,96,192,192,96,96,96,96,192,192,81,81,162,12,12,108,108,108,108,108,
108,162,1,18,48,48,48,48,144,144,144,144,144,144,36,36,36,36,36,36,36,36,36,
36,16,4,4,16,16,32,32,32,32,81,3,3,9,12,12,12,12,24,24,4,4,16,16,48,1,1,3,3,9,
9,9,36,36,36,36,16,12,12,12,12,3,3,9,16,1,1,4,4,4,4,4,4,12,12,1,3,3,4,4,1,1,1,
1,1],[1,270,45,40,240,120,1620,270,540,270,270,405,1296,720,720,240,360,1080,
720,720,90,135,135,270,1620,1620,810,405,810,160,120,240,960,1296,540,270,
1080,720,1080,1080,1080,27,270,405,810,405,810,120,720,720,240,720,240,480,
1296,540,540,540,90,360,360,270,540,540,360,1080,40,40,320,45,405,405,360,360,
120,720,270,540,270,270,270,40,120,240,216,216,135,360,360,162,160,45,45,90,
270,40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,40,40,36,27,1],[
1,270,45,40,120,240,1620,270,270,540,270,405,1296,720,720,240,360,1080,720,
720,90,135,135,270,1620,1620,810,405,810,160,120,240,960,1296,270,540,1080,
720,1080,1080,1080,27,270,405,810,405,810,120,720,720,240,720,240,480,1296,
540,540,540,90,360,360,270,540,540,360,1080,40,40,320,45,405,405,360,360,120,
720,270,540,270,270,270,40,120,240,216,216,135,360,360,162,160,45,45,90,270,
40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,40,40,36,27,1],[1,
162,729,88,156,156,1152,162,1458,486,324,324,972,972,2916,729,108,108,1512,
1512,10368,1620,1620,3456,1944,324,324,1944,1944,162,243,243,1458,972,972,
2916,2916,1458,2916,729,1458,2916,52,52,64,64,384,1152,18,504,864,1728,1152,
288,288,324,324,648,648,324,324,324,324,648,648,972,972,5832,5832,7776,324,
324,1944,324,324,972,972,972,972,486,729,729,729,1458,1458,1458,2916,2916,18,
180,180,288,288,504,162,864,1728,1152,1152,1944,162,1944,216,216,216,216,216,
216,216,216,1728,1728,10368,864,864,2160,2160,2592,2592,288,288,324,324,972,
972,1944,1944,162,648,648,972,972,648,324,324,972,972,324,324,1944,972,972,
972,972,972,972,972,972,1944,4,4,12,12,64,96,192,128,128,16,16,96,96,128,128,
192,192,192,96,192,192,96,96,96,96,96,96,96,96,96,96,96,96,96,81,729,729,1458,
1458,18,162,108,108,162,162,108,108,108,108,324,324,216,216,324,324,1944,1944,
648,648,2592,2592,2592,162,162,162,1944,324,324,324,324,648,648,324,324,972,
972,486,972,1944,1944,972,972,1944,36,36,96,144,144,864,864,1152,1152,1728,
1728,1728,1728,1728,180,180,36,36,72,72,288,288,576,864,1728,1152,1152,108,
108,216,216,864,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,729,36,36,108,108,324,324,324,324,
324,324,324,324,162,162,162,162,648,162,162,162,324,324,324,324,324,324,648,
324,324,324,324,324,324,1,64,64,384,64,64,32,32,32,32,48,48,96,96,192,192,96,
96,96,96,192,192,81,81,162,486,486,12,12,36,36,216,216,864,36,36,108,108,108,
108,108,108,108,108,216,216,108,108,216,216,864,432,432,864,864,864,864,864,
162,162,162,162,162,162,162,648,324,324,324,324,1,18,72,192,192,192,192,1152,
48,48,96,96,96,96,96,96,96,96,288,288,288,288,288,288,144,144,144,144,288,288,
288,288,243,243,486,36,36,36,36,108,108,36,36,36,36,36,36,36,36,108,108,108,
108,108,108,108,108,108,108,108,108,16,4,4,16,16,32,32,32,32,81,162,3,3,9,36,
12,12,36,36,12,12,24,24,18,18,288,288,288,288,144,144,108,108,108,108,108,108,
108,108,108,108,4,4,16,16,16,48,48,96,48,48,48,48,96,96,96,96,81,1,1,3,3,18,9,
9,18,18,9,12,12,18,18,18,36,36,36,36,72,72,36,36,36,36,36,36,16,12,12,12,12,
48,24,24,48,48,3,3,9,9,9,9,9,18,18,18,18,18,18,36,36,36,36,16,16,16,1,1,4,4,4,
4,4,4,12,12,12,12,12,12,12,12,12,12,1,9,9,9,9,9,9,16,3,3,6,6,12,12,12,12,12,
12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,306,585,40,240,120,270,
2430,270,810,270,1350,1890,1620,2025,1296,720,840,960,720,1080,2160,1440,360,
1800,720,2880,720,90,135,675,810,1350,2430,1890,810,1620,4860,2430,2430,810,
1620,405,2430,810,2430,1620,160,120,240,960,1296,1296,1296,540,270,1800,720,
1080,2880,720,2160,3240,2160,4320,2160,1080,1080,1080,1080,2160,1080,27,135,
270,270,270,810,405,405,810,810,810,405,810,405,405,810,2430,810,2430,2430,
810,2430,810,1620,1620,120,480,240,360,720,360,720,720,240,240,720,960,960,
480,1440,960,1296,2592,540,270,810,540,1080,540,90,360,360,810,540,1080,540,
360,1080,2160,1080,1080,1080,1080,1080,1080,1080,1080,40,40,320,45,810,270,
405,405,810,405,405,405,405,810,810,810,810,810,120,360,480,480,720,720,240,
720,720,720,1440,360,720,720,720,720,720,1296,270,540,270,540,270,810,540,
1080,540,810,540,1080,270,270,270,540,1080,1080,1080,1080,40,40,120,240,120,
240,480,960,216,216,135,135,405,405,405,405,405,480,720,360,360,720,360,360,
162,160,45,45,90,270,270,540,270,270,270,270,270,270,270,40,120,120,120,120,
120,240,120,240,120,240,216,216,432,432,405,360,360,162,160,160,160,45,45,135,
135,135,135,270,270,120,40,40,120,120,120,120,120,120,120,216,216,45,162,40,
160,36,135,135,120,120,45,45,45,40,40,40,40,36,72,27,45,40,40,36,27,1,1],[1,
306,585,40,120,240,270,2430,270,270,810,1890,1350,1620,2025,1296,840,720,720,
960,2160,1080,1440,360,720,1800,720,2880,90,675,135,1350,810,2430,810,1890,
4860,1620,2430,2430,810,1620,405,810,2430,2430,1620,160,120,240,960,1296,1296,
1296,270,540,1800,1080,720,720,2880,3240,2160,4320,2160,2160,1080,1080,1080,
2160,1080,1080,135,27,270,270,810,270,405,405,810,810,810,405,810,405,405,
2430,810,2430,810,810,2430,2430,810,1620,1620,120,480,240,360,720,360,720,240,
720,720,240,960,960,480,1440,960,1296,2592,270,540,540,810,540,1080,90,360,
360,540,810,540,1080,360,1080,1080,2160,1080,1080,1080,1080,1080,1080,1080,40,
40,320,45,270,810,405,405,810,405,405,405,405,810,810,810,810,810,120,360,480,
480,720,240,720,720,720,720,1440,360,720,720,720,720,720,1296,270,270,540,270,
540,540,810,540,1080,810,1080,540,270,270,270,540,1080,1080,1080,1080,40,40,
120,240,120,240,480,960,216,216,135,135,405,405,405,405,405,480,720,360,360,
720,360,360,162,160,45,45,90,270,540,270,270,270,270,270,270,270,270,40,120,
120,120,120,120,240,120,240,120,240,216,216,432,432,405,360,360,162,160,160,
160,45,45,135,135,135,135,270,270,120,40,40,120,120,120,120,120,120,120,216,
216,45,162,40,160,36,135,135,120,120,45,45,45,40,40,40,40,36,72,27,45,40,40,
36,27,1,1],[1,1053,169,156,156,3744,3159,6318,1404,1404,16848,4212,4212,7020,
5265,4212,4212,1053,9477,9477,169,52,208,208,1248,3744,234,936,702,1404,936,
936,936,6318,12636,12636,18954,3159,3888,9477,585,468,1872,1872,468,2106,702,
1404,1872,936,8424,4212,1404,1404,1404,1404,2808,2808,16848,2808,2808,2808,
7020,4212,4212,936,936,6318,1053,1053,1053,1053,3159,3159,1,13,156,156,208,78,
156,416,104,13,13,78,78,104,104,624,156,156,312,624,624,1248,1248,1248,312,
312,312,312,312,312,312,312,312,312,351,1404,2106,702,2106,2106,6318,4212,
4212,8424,8424,4212,4212,3888,3159,3159,3159,3159,468,468,624,117,117,702,702,
936,936,1404,1404,2808,2808,2808,117,585,468,468,468,468,936,702,1404,1872,
936,1404,1404,2808,1872,1872,1872,468,468,468,468,936,936,936,468,468,936,
1872,1872,936,936,1872,936,936,936,936,936,936,936,936,468,117,2106,1053,2106,
1053,2106,1053,2106,13,52,52,312,208,52,416,104,104,104,156,156,312,312,624,
624,312,312,312,312,624,624,702,234,1404,351,351,702,1404,1404,2808,351,351,
702,702,702,702,2808,2808,1404,1404,2808,1053,2106,1053,13,468,156,312,156,
156,936,156,156,312,312,624,156,156,156,312,312,468,468,936,468,936,1872,468,
468,468,468,936,936,936,936,117,117,351,351,117,117,117,117,117,468,117,117,
351,351,702,702,351,351,351,351,702,13,13,52,52,52,104,104,104,104,39,234,234,
468,936,468,468,468,468,144,702,351,351,351,351,351,351,351,351,351,13,52,13,
52,52,156,312,156,156,156,156,156,312,312,312,312,13,117,234,117,117,117,117,
117,52,39,39,78,78,156,156,156,144,117,117,117,117,117,52,52,52,13,13,13,13,
13,39,39,39,39,52,39,39,39,39,39,27,13,13,13,13,1],[1,1053,169,156,156,3744,
3159,6318,1404,1404,16848,4212,4212,7020,5265,4212,4212,1053,9477,9477,52,169,
208,208,1248,936,234,936,702,1404,3744,936,936,6318,12636,12636,18954,3159,
3888,9477,468,585,1872,1872,468,2106,702,1404,936,1872,8424,4212,1404,1404,
1404,1404,2808,2808,16848,2808,2808,7020,2808,4212,4212,936,936,6318,1053,
1053,1053,1053,3159,3159,13,1,156,156,208,78,156,104,416,13,13,78,78,104,104,
624,624,624,1248,156,156,312,312,312,1248,1248,312,312,312,312,312,312,312,
312,1404,351,2106,702,2106,2106,4212,6318,4212,8424,8424,4212,4212,3888,3159,
3159,3159,3159,468,468,624,117,117,702,702,936,936,2808,2808,2808,1404,1404,
585,117,468,468,468,468,936,702,1404,936,1872,1404,1404,2808,936,468,468,468,
468,936,936,468,468,1872,1872,1872,1872,936,936,1872,1872,936,936,936,936,936,
936,936,936,936,117,468,2106,1053,2106,1053,1053,2106,2106,13,52,52,312,52,
208,104,416,104,104,156,156,312,312,624,624,312,312,312,312,624,624,234,702,
1404,351,351,702,1404,1404,2808,351,351,702,702,702,702,1404,1404,2808,2808,
2808,1053,1053,2106,13,468,312,156,156,156,936,156,156,312,312,156,156,156,
624,312,312,468,468,468,936,1872,936,468,468,468,468,936,936,936,936,117,117,
351,351,117,117,468,117,117,117,117,117,351,351,702,702,351,351,351,351,702,
13,52,13,52,52,104,104,104,104,39,234,234,936,468,468,468,468,468,144,351,351,
351,351,351,702,351,351,351,351,52,13,13,52,52,312,156,156,156,156,156,156,
312,312,312,312,13,117,234,117,117,117,117,117,52,39,39,78,156,78,156,156,144,
117,117,117,117,117,52,52,52,13,13,13,13,13,39,39,39,39,52,39,39,39,39,39,27,
13,13,13,13,1],[1,2106,5265,520,1560,1560,37440,2106,94770,31590,10530,10530,
31590,31590,63180,47385,75816,14040,14040,28080,28080,336960,42120,42120,
56160,42120,42120,42120,84240,84240,10530,15795,15795,31590,31590,94770,31590,
31590,189540,189540,94770,94770,94770,189540,47385,94770,94770,94770,189540,
520,520,2080,2080,12480,37440,2340,9360,28080,56160,37440,37440,37440,75816,
75816,75816,10530,10530,84240,84240,252720,42120,42120,42120,42120,84240,
84240,126360,126360,252720,252720,252720,42120,42120,126360,42120,42120,
126360,126360,126360,126360,155520,3159,3159,10530,31590,31590,31590,47385,
47385,94770,94770,94770,47385,94770,47385,47385,94770,94770,94770,94770,94770,
94770,94770,94770,189540,189540,2340,4680,4680,18720,18720,9360,21060,28080,
56160,37440,37440,84240,21060,84240,28080,28080,28080,28080,28080,28080,28080,
28080,56160,56160,336960,56160,56160,56160,56160,168480,168480,37440,37440,
75816,75816,75816,151632,151632,10530,10530,31590,31590,63180,63180,252720,
252720,252720,10530,42120,42120,31590,31590,63180,63180,42120,42120,42120,
126360,126360,42120,42120,126360,126360,126360,126360,126360,126360,126360,
126360,126360,126360,40,40,1560,1560,2080,3120,6240,4160,4160,520,520,3120,
3120,4160,4160,6240,6240,6240,12480,6240,6240,12480,12480,12480,12480,12480,
12480,12480,12480,12480,12480,12480,12480,12480,5265,31590,31590,47385,47385,
94770,47385,47385,47385,47385,94770,94770,94770,94770,94770,2340,21060,14040,
14040,21060,21060,28080,14040,14040,14040,14040,42120,42120,28080,28080,42120,
42120,84240,84240,84240,84240,168480,168480,168480,21060,21060,21060,84240,
42120,42120,42120,42120,84240,84240,42120,42120,155520,75816,75816,75816,
10530,10530,31590,31590,21060,31590,31590,31590,31590,63180,63180,31590,31590,
63180,63180,31590,31590,31590,31590,31590,63180,126360,126360,126360,126360,
126360,4680,4680,6240,4680,4680,28080,28080,37440,37440,56160,56160,56160,
56160,56160,4680,4680,4680,4680,9360,9360,18720,18720,18720,28080,56160,37440,
37440,14040,14040,28080,28080,56160,18720,18720,18720,18720,18720,18720,18720,
18720,18720,18720,18720,18720,37440,37440,37440,37440,37440,37440,37440,37440,
37440,37440,37440,37440,37440,37440,12636,12636,101088,15795,15795,47385,
47385,47385,47385,47385,4680,4680,14040,14040,42120,42120,42120,42120,42120,
42120,42120,42120,21060,21060,21060,21060,84240,21060,21060,21060,42120,42120,
42120,42120,42120,42120,42120,42120,42120,84240,42120,42120,42120,42120,18954,
18954,75816,130,2080,2080,12480,2080,2080,4160,4160,4160,4160,6240,6240,12480,
12480,24960,24960,12480,12480,12480,12480,24960,24960,5265,5265,10530,10530,
10530,31590,31590,31590,31590,31590,31590,31590,31590,31590,31590,31590,31590,
31590,31590,63180,1560,1560,4680,4680,9360,9360,56160,4680,4680,14040,14040,
28080,14040,14040,14040,14040,14040,14040,28080,28080,14040,14040,28080,28080,
56160,14040,14040,28080,28080,28080,28080,56160,56160,56160,56160,56160,12636,
12636,25272,25272,25272,25272,47385,10530,21060,21060,21060,21060,21060,21060,
21060,42120,42120,42120,42120,42120,18954,18954,130,2340,9360,6240,6240,6240,
6240,37440,6240,6240,12480,12480,6240,6240,6240,6240,12480,12480,18720,18720,
18720,18720,37440,37440,18720,18720,18720,18720,37440,37440,37440,37440,5265,
5265,15795,15795,15795,15795,31590,31590,31590,4680,4680,4680,4680,14040,
14040,4680,4680,4680,4680,4680,4680,4680,4680,4680,4680,14040,14040,14040,
14040,28080,28080,14040,14040,14040,14040,14040,14040,28080,14040,14040,14040,
14040,14040,14040,12636,12636,12636,12636,12636,12636,520,520,520,2080,2080,
4160,4160,4160,4160,5265,10530,10530,10530,21060,18954,18954,390,390,1170,
4680,1560,1560,4680,4680,1560,1560,3120,3120,9360,9360,2340,2340,18720,18720,
18720,18720,18720,18720,5760,5760,2106,8424,15795,15795,14040,14040,14040,
14040,14040,14040,14040,14040,14040,14040,14040,14040,12636,12636,520,520,520,
2080,2080,6240,6240,6240,6240,6240,6240,6240,12480,12480,12480,12480,5265,
5265,5265,10530,130,130,390,390,2340,1170,1170,2340,2340,1170,1560,1560,9360,
9360,2340,2340,2340,4680,4680,4680,4680,4680,4680,9360,9360,4680,4680,4680,
4680,4680,4680,2106,4212,4212,8424,2080,3159,3159,1560,1560,1560,1560,1560,
3120,3120,3120,6240,6240,5760,5760,5265,390,390,1170,1170,1170,1170,1170,2340,
2340,2340,2340,2340,2340,4680,4680,4680,4680,4680,4680,2106,2106,2106,2080,
2080,2080,3159,3159,130,130,520,520,520,520,520,520,520,1560,1560,1560,1560,
1560,1560,1560,1560,1560,1560,1560,1560,130,1170,1170,1170,1170,1170,1170,
2106,2080,390,390,780,780,1560,1560,1560,1560,1560,1560,1560,1560,1560,1170,
1080,520,520,520,130,130,130,130,390,390,390,390,520,520,520,390,390,390,390,
130,117,117,130,117,117,40,40,1]],
[1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,16,16,16,16,16,16,16,
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,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,
20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,39,40,40,40,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,60,60,60,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,81,81,81,
81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,120,120,120,120,120,120,128,144,144,144,144,
144,144,144,144,144,144,144,144,144,160,160,162,162,162,162,162,162,162,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,162,192,192,192,192,192,192,192,192,192,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,240,240,240,240,240,240,243,243,
243,243,243,243,243,243,243,288,288,288,288,288,320,320,324,324,324,324,324,
324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,351,351,
360,360,384,384,432,432,432,432,432,432,432,432,432,432,432,432,480,480,486,
486,486,486,486,486,486,486,486,486,486,486,486,486,486,486,576,576,576,576,
648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,720,720,720,720,729,960,960,
972,972,972,972,972,972,972,972,972,972,1053,1053,1152,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1440,1440,1440,1458,1458,1458,1920,1920,1944,1944,1944,1944,1944,1944,1944,
1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,1944,2592,
2592,2592,2592,2592,2592,2592,2880,2916,3888,3888,3888,3888,3888,3888,3888,
3888,3888,3888,3888,3888,3888,5184,5616,5832,5832,5832,7776,7776,7776,7776,
7776,7776,7776,7776,11664,11664,11664,15552,15552,15552,15552,23328,25920,
25920,46656,51840,51840,151632,151632,6065280],
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566,565,141,504,505,474,501,495,494,387,387,666,632,633,547,546,366,547,546,
224,223,366,366,368,236,492,366,366,366,236,803,804,775,775,650,531,773,672,
577,456,530,538,539,407,407,407,667,667,391,392,163,494,495,494,495,387,387,
301,300,175,174,178,494,495,302,505,504,300,301,300,301,273,744,745,667,548,
547,546,492,492,366,366,366,492,366,492,492,366,366,366,366,366,366,366,368,
236,236,773,736,737,624,625,672,603,577,456,531,530,387,603,387,565,566,566,
565,563,564,566,565,473,472,141,474,474,474,474,260,260,538,539,407,407,407,
276,275,667,667,547,546,436,435,161,162,163,666,501,501,547,546,436,435,501,
505,504,301,300,495,494,302,301,300,300,301,300,301,300,301,302,815,816,784,
785,775,757,711,743,743,802,802,757,757,743,743,711,711,711,663,711,711,661,
660,662,660,661,661,657,660,656,663,663,662,662,718,546,547,492,492,366,492,
492,492,492,366,366,366,368,368,773,603,641,640,603,603,577,644,645,644,645,
499,499,565,566,496,496,380,381,387,387,258,259,260,603,603,603,387,494,495,
495,494,387,387,505,504,273,407,407,407,667,667,546,547,600,546,547,547,546,
436,435,547,546,435,436,546,547,546,547,548,439,298,299,300,301,302,734,735,
711,733,732,570,569,537,536,484,483,485,481,482,737,736,726,727,672,672,624,
625,609,577,456,531,530,645,644,565,566,474,622,625,624,625,624,622,622,623,
623,623,625,624,530,531,531,530,530,531,539,538,538,539,538,539,538,539,646,
647,363,632,633,492,492,492,492,492,737,736,644,645,498,497,496,499,499,503,
502,496,603,603,603,603,387,603,603,603,505,504,504,505,504,505,501,502,503,
400,494,495,495,494,604,605,407,812,775,775,650,775,775,741,741,741,741,714,
715,658,659,595,596,663,662,660,661,597,598,718,718,666,667,667,547,546,546,
547,548,546,547,546,547,547,546,546,547,548,449,785,784,727,726,681,680,456,
727,726,641,640,577,644,645,644,645,644,645,565,566,644,645,566,565,474,642,
643,569,570,572,571,481,482,483,484,485,646,647,585,584,586,587,492,667,603,
603,603,603,603,603,603,501,502,503,504,505,605,604,812,773,672,712,713,714,
715,515,714,715,662,663,711,711,711,711,661,660,625,624,623,622,530,531,627,
626,626,627,536,537,538,539,718,718,633,632,633,632,546,547,548,737,736,727,
726,640,641,737,737,736,736,736,737,732,733,734,735,645,644,643,642,569,570,
642,643,644,645,641,640,577,645,644,645,644,644,645,646,647,646,647,646,647,
802,804,803,775,775,741,741,741,741,718,667,667,667,603,604,605,807,808,789,
725,785,784,727,726,784,785,763,762,680,681,773,773,622,623,624,625,626,627,
717,716,774,702,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,
647,804,803,802,775,775,712,713,711,715,714,715,714,660,661,662,663,718,718,
718,667,812,812,806,805,773,789,789,769,768,789,785,784,680,681,773,769,768,
733,732,736,737,734,735,691,692,726,727,734,735,727,726,774,739,740,702,775,
745,744,784,785,787,786,788,764,756,755,714,715,716,717,718,807,808,789,789,
789,789,789,773,773,769,768,769,768,732,733,734,735,736,737,774,774,774,775,
775,775,744,745,812,812,804,804,803,803,802,804,803,786,787,788,786,787,785,
784,785,784,788,784,785,812,789,789,789,789,789,789,774,775,808,807,798,799,
780,781,782,783,784,785,786,787,788,789,790,803,804,802,812,812,812,812,808,
807,807,808,802,803,804,805,806,807,808,812,813,814,812,813,814,815,816,817],
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2,2,2,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,17,17,1,11,12,12,11,15,5,6,5,
6,5,6,5,6,6,5,4,1,1,1,1,1,1,1,6,5,1,1,1,1,3,1,1,3,3,3,2,2,1,2,3,3,2,2,2,2,2,2,
2,3,10,10,56,50,51,53,52,57,56,58,59,55,60,57,1,1,5,6,5,6,5,6,5,6,6,5,7,4,4,4,
4,5,6,61,62,17,17,1,17,17,66,67,67,66,66,67,69,68,70,31,31,31,12,11,11,12,3,5,
6,5,6,27,28,26,28,27,27,28,2,2,6,5,4,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,1,4,1,4,4,4,4,4,3,2,2,16,16,16,16,16,16,16,16,16,2,10,10,56,56,50,
51,56,56,58,56,56,56,56,56,56,57,57,56,56,50,51,57,57,53,52,59,1,56,56,57,5,6,
6,5,5,6,12,11,91,17,17,17,11,12,11,12,94,66,67,67,66,66,67,67,66,67,66,66,67,
11,12,31,164,165,166,27,28,84,190,191,192,198,197,199,200,201,202,205,204,203,
208,207,51,50,56,56,57,57,53,52,57,58,59,55,60,5,6,6,5,4,51,52,53,52,53,51,51,
50,50,50,52,53,60,55,55,60,60,55,62,61,61,62,61,62,61,62,361,362,363,32,33,16,
45,45,32,33,119,118,117,117,117,117,123,123,123,118,119,123,56,56,56,56,57,56,
56,56,271,272,86,85,66,67,31,51,50,58,28,27,129,129,93,92,65,1,4,4,4,4,4,4,4,
4,4,52,53,53,52,50,51,50,51,53,52,53,52,222,222,31,66,67,67,66,66,67,164,168,
167,168,167,167,168,35,34,164,281,191,190,190,191,189,188,194,56,56,50,51,58,
191,190,56,56,56,56,57,57,191,190,191,190,192,197,198,200,199,198,197,208,207,
204,205,203,361,362,362,361,361,362,105,94,129,129,123,117,117,123,56,397,240,
239,272,271,406,405,408,56,57,413,412,409,410,411,418,419,425,424,192,192,192,
192,427,426,52,53,50,51,60,55,191,190,197,198,202,201,61,62,431,430,222,222,
430,431,168,167,296,119,118,320,319,317,318,371,371,372,372,372,371,307,306,
190,191,190,191,198,197,200,199,307,306,191,190,189,188,193,320,319,320,319,
117,117,361,362,361,362,361,362,4,51,50,53,52,50,51,53,52,222,493,277,278,263,
405,406,408,408,408,408,191,190,190,191,451,450,451,450,455,454,408,56,413,
412,410,409,418,419,189,188,630,631,431,430,560,555,556,558,559,557,460,459,
475,476,319,320,486,487,408,408,590,408,408,413,412,192,419,418,410,409,426,
427,425,424,431,430,599,493,508,508,408,408,408,508,508,508,508,408,615,614,
618,619,408,408,408,562,561,372,371,614,615,616,617,319,320,451,450,509,509,
630,630,630,631,192,704,705,451,450,408,408,590,590,591,592,594,593,629,628,
599,508,508,508,508,408,508,508,509,509,607,606,607,606,686,685,614,615,687,
688,630,630,630,703,408,590,705,704,668,669,669,669,668,668,650,508,508,649,
648,590,592,591,615,614,707,706,650,611,610,508,606,607,608,606,607,608,699,
703,669,668,747,746,748,749,751,750,706,707,709,708,710,677,790,668,669,752,
669,668,767,767,747,746,746,747,793,791,792,797,796,777,776,767,810,811,809,
810,811,815,816,817],
[( 1, 2)( 3,17)( 4,15)( 5,26)( 6,16)( 7,35)( 8,11)( 9,39)(10,27)(12,29)(13,32)
(14,36)(18,22)(19,38)(20,30)(21,31)(23,28)(24,25)(33,34)(37,40),
( 1,39,37, 4,15,18,25,13,19, 2,30,33,12)( 3, 7,32,21,28,31,24,36,20,29,26,27,
17)( 5,34,14,22,40, 8,11, 9,38,35,10, 6,16)],
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1,7,3,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1,7,1,5,1,7,2,8,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,
7,1],[5,1,7,-1,5,1,7,-1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,
-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,2,5,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,8,-1,5,1,7,
1,5,1,8,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]],[[1,1,
2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,2,5,1,7,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,
3]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,
1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,1],[10,1,11,1,6,
1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,
-3]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,
2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-2,10,-1]],[[1,
1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-3]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[7,2,5,1,7,-1,8,-1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,1],[7,1,6,1,8,
-2,7,-1,6,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,
3,-1,4,-1,5,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,1,7,1,8,-1,7,1,4,-1,7,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,
1,7,1],[8,1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,8,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[8,2,5,1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1,8,1,5,1,7,-2,8,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,-1,5,1,7,2,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,
1,7,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-1,8,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,
5]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,
-1,8,-1,5,-1,8,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[9,1,5,-1,9,-1,8,
-1,9,1,8,2,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,-1,8,-1,7,-1,
8,1,7,2,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,1,4,-1,8,-1,7,2,4,-1,8,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,1],[4,-1,8,-1,7,1,4,-1,7,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,-1,8,-1,9,1,8,
1,5,1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[8,-1,5,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[7,1,9,1,8,1,9,1,8,1,7,
2,4,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,1],[4,-1,7,2,4,-1],[9,1,8,-1,9,1,8,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,1,7,1,8,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[8,1,7,
-1,4,1,7,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[9,1,7,-1,8,-1,9,-1,7,-1,8,-1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[7,1,4,-1,7,-1,8,1,7,1,4,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1,8,1,7,1,4,1,7,
1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,-1,4,1,7,1]]],[[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,5,1,3,-1,
4,1]]],[[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,4,1,5,1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,
7,1],[8,1,6,1,7,1,6,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,
2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[
5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,1],[7,1,6,1],[9,1,
8,-1,9,2,8,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,
-1,5,-1],[1,1,2,1],[6,1,7,1],[7,1,6,1],[9,2,8,-1,7,1,8,1]]],[[[1,1,2,3],[3,2,
2,1,1,1],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,7,2,8,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,5,
1,8,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[
1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,2,6,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[
2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,1],[11,1,10,2,11,1]],[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[
2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,-1,6,-1]]],[[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,
2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-2,10,1,6,1,10,-1,6,-1]],[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,
2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,1],[11,1,10,2,11,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
8,1,7,3,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,1,8,-1,9,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[
8,1,5,1,7,-1,5,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,
1,5,1,7,1,8,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-1,8,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,5,1],[7,1,9,1,8,1,9,1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,
1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,2],[8,1,7,1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[
7,1,5,1],[7,1,9,1,8,1,9,1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-1,8,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,1],[8,2,7,3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,
1,5,1,7,-1,8,1,5,1,7,-2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,5,
1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,
4,-1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,9,1,8,
1,5,-1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,8,-1,9,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,-1,7,
1,4,1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,4,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-2,5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,
7,1,5,1,7,-1,8,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2],[9,1,5,1,7,-1,9,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[
8,2,7,1,8,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[7,1,5,1,7,1,5,1,7,-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,
7,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1],[8,
2,9,1,7,1,9,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1],[8,2,9,-1,8,1,7,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,
1],[8,1,7,3,8,-1,7,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,-1,5,1,7,-1,8,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,
1],[8,1,7,-3,5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
2,7,1,5,1,7,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,2],[8,2,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[9,1,8,1,
9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[7,2],[5,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-3,5,1,7,3,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[8,1,9,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,1],[9,1,
8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[8,1,9,1,8,-1,9,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[7,1,5,1,
8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[7,1,5,1],[7,1,8,1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,11,-1,10,1,11,1,
10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[11,1,9,1,5,1,
11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[
2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,1,5,1,10,-1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,1],[7,1,8,1],[9,1,8,1,9,1,7,1,5,1]],[[1,1,2,3],[3,2,2,1,1,1],[
4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,2,5,1],[8,1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[
8,1,9,1,8,-1,9,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,1],[9,1,
8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,1,5,1],[7,1,5,1,7,2,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[
7,1,8,2,7,-3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,2,5,1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1],[8,1,7,-1,5,1,7,-2,5,1,8,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,1],[8,2,7,3,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,8,-2,7,2,8,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,
5,1],[8,1,9,-2,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,5,1,7,-1,8,-1]],[[1,
1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,2,5,1,7,-1]],[[1,1,2,3],[3,2,
2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-1,8,1,5,1,8,-1,7,1,5,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,
5,1],[8,1,9,-2,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,
5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[7,2],[8,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-1,8,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,
7,1],[7,2,8,2,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,3]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,-2,5,1,7,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,2,5,1,7,1,8,-2,7,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
2,7,3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,8,-1,5,1,7,1,5,1,8,1]],[[
1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-3,5,1,7,3,5,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,
1,7,1,8,1,7,1,5,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,
5,1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,8,-1,5,1,7,1,5,1,8,1]],[[1,1,2,3],[3,2,
2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[8,1,9,1,8,-1,9,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[9,1,5,1,9,-2,5,1,9,-2,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[5,1,9,-1,5,1,9,-2,10,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
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-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,5,1,8,-1]],[[1,1,2,
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-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,
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3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,
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1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,1,10,-1,9,-1,
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1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
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1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-1,5,1,8,-1,5,1]],[[1,1,2,1],[
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2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
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-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,
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1,7,1,6,1,2,1,7,1],[5,1,8,1],[9,1,8,1,5,1,8,-1,9,1,8,2,5,-1]],[[1,1,2,1],[2,1,
3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1],[
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2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1],[4,-1,8,2]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,1],[8,2,5,-1,9,3,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,-1,5,-1,8,2]]],[[[1,1,2,1],[3,
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4,-1,8,3,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
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8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
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1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
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5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
2],[8,1,4,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,2],[8,1,4,1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,1,7,-1,4,
1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,-1],[8,1,5,1,8,1],[9,1,10,-1,9,1,10,-1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-1,5,1,
8,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[8,2,7,1,8,1,7,2,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,
5,1,7,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,5,1,
7,1,8,2]]],[[[1,1,2,3],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,2,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,2,5,1,7,-1,5,1,7,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,5,1,7,-1,8,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,
4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,
8,-1,2,-1],[6,-1,10,-1,6,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,
5,-1,3,1,4,-1,2,-1],[6,-3]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,
1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[10,1,6,-1,10,1,6,-1,10,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,
-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,
1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[6,1,10,1],[10,1,11,1,6,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,
-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,5,1,8,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
-1,5,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-1,5,1,7,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,8,1],[9,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,
2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[
7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1]],[[1,1,2,1],[2,2],[1,1,2,-1,
4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,
9,-1,7,1,8,-1,2,-1],[10,-2,6,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,
2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[10,1,6,1,10,1,6,-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,
1,6,-1,10,-1,6,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[9,1,7,1,8,1,7,1,9,1,8,1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,
1,7,-1,4,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,-1,7,1,4,-1,7,1,8,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[7,1,4,1],[8,1,9,1,7,-1,8,-1,7,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1],[9,
1,8,-1,9,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1],[8,1,9,1,7,-1,8,-1,7,1,9,-1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,
4,1],[7,1,9,-1,8,1,9,1,7,-1,8,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,
2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,
2,-1],[10,1,6,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,
-1,2,-1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,2],[5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
1,7,2,5,1,8,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,2,5,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,
1,8,-1,2,-1],[10,1,6,-1,10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,
-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,-1,7,2,4,-1,7,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,
-1,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1,8,1,5,1,7,-2,8,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,3]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[8,1,5,1,7,-1,5,1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-1,8,1,5,1,8,-1,7,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,1,5,1],[7,1,8,1,5,1,7,1,8,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1,8,1,5,1,7,-2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[
8,1,5,1,7,-1,5,1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,7,3,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,
1,8,1,7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,7,1,5,1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,
4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,
10,-1,6,-1,10,1,6,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,
1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,
-1,10,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,1,7,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,5,1],[8,1,9,-2,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,5,
1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,
1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,2,6,-2]],[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,
2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,
-2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[7,1,5,1,7,1,5,1,7,-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,-1,7,
-1,5,1,7,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,
8,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,
4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,
8,-1,2,-1],[6,1,10,-1,6,1,10,-1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,
2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[6,1,10,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[
5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,
10,1,6,-1,10,-1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[
5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,-2,6,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[9,2,5,1,9,1,10,-2,9,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,4]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[8,1,7,1,9,1,8,1,7,-1,
9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,3,4,-1,7,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[5,-1,9,-1,8,2,5,-1,9,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,-3,5,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,-1,8,3,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,-1,8,-1,7,2,4,-1,
8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,-3,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,-1,7,3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-3,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,1,5,1,8,-3,5,
-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[8,1,5,1,8,-3,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,3,5,-1,8,-1,5,-1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,
1],[7,1,9,1,8,1,7,1,9,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-3,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,1,7,-2,8,1,
4,1,8,-1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[9,1,8,1,7,2,4,-1,7,-2,8,-1,9,-1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,
7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,-1,7,-1,4,-1,8,-1,7,2,4,-1,8,1]]],[[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
1],[4,-1,8,-1,7,-1,8,1,7,2,4,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,-1,7,-1,8,-2,7,1,4,1,7,-1,
8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1],[7,1,4,1],[7,1,9,1,8,1,7,1,9,-1,8,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,2,4,
1],[8,1,9,-1,8,-1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,-1,8,-1,7,2,4,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[
8,1,7,-1,9,-2,7,-1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[4,1,7,-1],[10,1,8,-1,9,-1,8,1,
10,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,1,7,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,1,7,-2,8,1,4,
1,8,-1,7,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[8,1,5,1],[9,1,8,1,10,-1,9,1,8,1,10,1]],[[1,1,
2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[
5,1,8,1],[8,1,5,1],[8,1,10,-1,9,1,8,1,10,1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[8,1,7,
1,9,-1,8,1,7,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[7,1,9,-1,8,1,7,1,9,1,8,1]]],[[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
1],[8,1,7,2,4,-1,7,-2,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-2,4,-1,7,2,4,1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,
4,1,7,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[8,1,5,-1,8,-1],[9,1,5,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,-2,5,1,8,2]]],[[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
-1,7,-1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,-2,4,1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,
4,-1,7,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,8,-1,9,1,8,1,5,1,8,1]],[[1,1,2,1],[2,1,
3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,
-3,5,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,
1,6,1,2,1,7,1],[8,3,5,-1,8,-1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,1,8,1,5,-1,8,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
1,4,1,7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,
1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,
4,-1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,1,7,1],[8,1,7,1,4,1,7,-1,8,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,
-1,5,-1,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-1,4,1,7,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
1,7,-1,4,1,7,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[9,1,8,1,5,1,8,-1,9,2]],[[1,1,2,1],[2,1,
3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1,8,-1,
7,1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,3,4,1,7,-1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,
7,-3]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,1],[8,1,7,1,4,-1,7,2,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,
1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[8,1,5,1,8,-3,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,1,5,1,8,-3]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,
-1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-2,8,1,7,1]],[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,
7,-1,4,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[4,1,7,-1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[8,1,7,-1,
4,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,11,-1,10,1,
11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[11,1,9,
1,5,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,
2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,-2,5,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,2,5,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,
8,1],[9,1,8,1,9,1,8,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,1],[8,1,7,1,8,1,7,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,8,-1,5,1,7,1,5,1,8,1]],[[
1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1,7,-1],[8,1,9,1,8,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[5,1,7,1],[8,2,5,1,7,-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-2,5,1,7,1,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,1,5,1],[8,2,7,-2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,1,5,1,7,1,8,-1,7,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[7,1,8,1],[8,1,9,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,5,1,7,2,8,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,1,5,1,10,
1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[11,2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-1,10,-1,9,-2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,1,9,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[10,2,9,2,5,1,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,
5,1],[9,1,5,1,9,1,10,-1,9,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,5,
1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,1],[7,2,5,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[8,1,7,1,8,1,7,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,2,8,1,7,1,8,1,7,1,5,1]],[[1,1,2,
3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,1],[9,1,8,1,9,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[
8,1,7,1,5,1,8,1,5,1,7,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1,5,1,7,1,
5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,11,-1,10,1,
11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,-1,5,1,9,
3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,10,1],[12,1,10,1,
11,1,12,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[
1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[5,1,9,-1],[
11,1,10,1,11,1,9,-1,10,-1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[9,
2,5,1,9,1],[10,1,11,1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,8,-1,7,1,5,1,8,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,-2,5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,
-2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,
4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
-1],[5,1,8,1,9,1,8,1,5,-1,8,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-1,5,-1,8,-2]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,1],[7,1,
6,1],[8,1,6,1,9,3,8,-1]],[[1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,1,8,-1,7,-1,8,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,-1,5,1,7,-1,8,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[5,1,7,1],[8,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,-1,
7,-1,5,1,7,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[
5,1,9,-3,5,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[
1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,
1,5,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,1,5,1,7,1,5,1,7,-1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,2,5,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,
5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,3]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[9,1,5,1],[9,2,5,1,9,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[5,1,9,1],[5,1,9,-2,10,-1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,
7,1],[9,1,5,1],[5,1,9,-1,10,-1,5,1,9,1,5,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,1,5,1],[10,1,9,2,11,-3,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[
5,1,9,1],[10,2,9,2,5,1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,
3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,
-3,5,1,9,1,10,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,-1,4,1,7,
-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[8,1,5,-1,8,-1,5,-1,8,1,5,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,-1,5,1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[4,1,7,-2,8,-1,7,1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-3,4,-1,7,-1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,1,7,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,
8,1,6,-1,7,1],[9,1,5,1],[5,1,9,-1,5,1,9,2,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,-2,5,1,9,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1,8,1,7,1,4,1,7,-1,8,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,
7,-2,4,-1,7,-1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,
7,2,8,1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,2,4,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,
1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,2],[8,1,4,1,8,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,3,8,2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,2,
5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[7,1,5,1],[8,1,7,3,8,-1,7,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[7,1,5,1],[7,1,8,1,9,-1,8,-1,9,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,5,
1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,1,8,1,9,1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[8,1,7,-1,8,-1,7,1,4,1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,4,-1,7,1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,5,1],[8,1,9,-2,8,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,1],[8,1,7,1,5,1,7,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
1,7,1,5,1,7,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[
8,1,7,1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[
8,1,7,1,5,1,7,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,
5,1],[9,2,5,1,9,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,
3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,
9,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[
2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,-3,5,1,9,1,10,2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[11,1,10,-2,9,-2,11,-1]]],[[[1,
1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,
1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1,6,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,2]]],[[[1,1,2,1],[2,2],[1,
1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,
1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-1,10,-1,6,-1,10,-1]],[[1,1,2,1],[2,2],[1,1,2,
-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,
-1,9,-1,7,1,8,-1,2,-1],[6,1,10,-1,6,1,10,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,
3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,
7,1,8,-1,2,-1],[6,1,10,2,6,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-3,4,-1,7,-1,4,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,
1,7,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,1,5,1,7,
1,5,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[5,1,7,-1,5,1,7,1,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[5,1,7,1],[8,-3,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1],[8,1,5,1,7,-2,5,1,8,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,
-1,5,1,7,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,
-1,8,-2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[
1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-2,10,
1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,1],[8,1,5,1,7,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,
7,-2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1,5,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,
1,8,-1,2,-1],[6,1,10,1],[11,1,10,2,11,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,
1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,
-1,2,-1],[10,1,6,1,10,-1,6,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,
2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[10,1,6,-1,10,1,6,-1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,
-1,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,2,7,-1,5,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,-1],[8,2,7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,2,7,2]]],[[[1,1,2,1],[2,2],[1,1,
2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,
8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,
1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,
1,9,1,5,1,9,-1,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,3,9,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-1,10,-1,9,-2]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,1,5,1,9,-1,10,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1],[
8,2,7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[
5,1,9,1],[9,1,5,1,10,-1,9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,
2,2,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[7,1,5,1,8,
2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,-2,10,-2,5,1,9,1,10,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,3,5,1,10,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
1,7,1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,-2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,
3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,
7,1,8,-1,2,-1],[10,1,6,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,
-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,
3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[
10,1,6,1,10,1,6,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,
1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[7,1,5,1],[5,1,7,1,8,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,2,7,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,2,5,1,9,-2,10,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,2,10,1,9,1,10,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,2,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
1,7,-1,4,-1,7,-2,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,2,4,
-1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,
7,1,5,1,7,-1,8,-1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,
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2,3],[6,2,2,1,1,1],[7,2,5,1,7,-3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,
7,1],[5,1,9,1],[9,1,5,1],[9,2,10,1,11,-1,10,1,9,1,10,1,11,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,
8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,10,1],[10,1,12,1,11,-1,10,-1,12,-1,11,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1],[7,2,4,1],[8,1,9,-1,8,-1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,1],[8,1,9,1,
8,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,1],[8,1,7,1,4,-1,7,1,8,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,2,8,1,7,1,4,
-1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,1],[4,-1,7,-1,8,-1,7,1,4,1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,2,4,1,
7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,1],[4,1,7,1,8,-1,7,-1,4,-1,8,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,
-1,4,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,2,8,1,7,1,4,-1,7,1,8,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,
1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,-1,7,1,8,1,7,2,8,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,1,
4,-1,7,1,4,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[7,1,9,1,8,1,7,1,9,-1,8,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[7,1,4,-1,7,-1],[9,1,8,-1,9,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,-1,7,1,8,2,4,-1,7,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1],[7,2,4,-1,8,2,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,2,4,1,7,1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,
1,7,-2,8,-1,7,1,4,-1,7,-1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
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1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,2,4,1,8,3,4,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,-1,8,-1]],[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[8,1,4,1,7,-2,8,1,7,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,1]],[[1,
1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[8,-2,5,1,8,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,-1],[9,1,5,1,9,-1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,
1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[7,-2,4,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1],[8,1,4,1,8,-1]]],[[[1,1,
2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[
8,3,5,-1,8,-1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,1,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,-1,8,
1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1],[7,1,4,1,7,-1,8,-1,7,-1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,
-1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,-1,7,1,4,1,7,-1,8,1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,
-1,7,-1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,
4,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,-1,7,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,-1,7,-1,4,1,7,1,4,-1,7,1,8,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
1],[8,2,4,-1,7,2,4,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,-1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-1,4,-1,
7,1,4,-1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[8,1,9,-1,7,-1,9,1,8,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,
2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,8,-1],[10,1,9,1,
10,1,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,
5,-1,6,1,7,1,5,-1],[4,1,8,-2,4,1,8,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,
1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,9,4]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1,9,-1],[11,1,10,1,11,1,10,1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-2,5,1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,
9,1],[9,1,10,4]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[7,1,9,-1,8,1,7,1,9,1,8,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
1],[7,2,4,-1,8,3,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[8,1,7,
1,9,1,8,1,9,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,4,1],[7,1,9,-1,
8,1,7,1,9,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-1,4,-1,7,1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1],[4,1,7,1,8,
2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1,7,-2,4,-1,7,2,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,-1,7,1,4,1,7,-1,8,1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,
4,-1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,-1,7,1,4,1,8,-1,
7,1,8,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,2,4,1,8,3,4,-1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,
8,1,7,1,4,-1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,1],[8,1,7,-1,4,1,7,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,
-1,7,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,-1,8,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,
1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]]],[[[1,1,
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1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1],[4,-1,8,2]],[[1,1,2,1],[3,-1,2,2],[
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-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[7,1,4,1,7,-1,8,-1,7,-1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,1,7,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
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-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2],[5,1,9,1,10,
1,5,1,9,-1,10,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,
1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1],[10,1,9,-1,8,-1,9,2,10,
-1]],[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,4,1,5,1,3,-1],[6,3]],[[2,1,1,1,
2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[
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1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,2,4,1,7,-2,4,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,
4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[8,1,7,2,4,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[
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-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,1,4,-1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-2,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,1],[8,1,4,-1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-3,8,-1]],[[1,1,2,1],[
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1],[8,1,4,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,2,4,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,-1,
7,2,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[5,1,8,1],[9,1,5,-1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1],[9,2,5,
1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,1],[8,1,4,-1,7,-1,8,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,2,4,1,7,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1],[8,1,4,1,8,-1]]],[[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
1],[7,1,8,-1,4,-1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-1,4,1,7,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[
1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1],[8,1,9,-1,5,-1,8,
1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,
6,1,2,1,7,1],[8,-1,5,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1,8,-1,7,-1,4,-1,7,-1,8,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,1,4,1,7,-1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
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1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,
7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,-1,8,-1,7,-1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,
1,7,1],[8,1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-2,
4,1,7,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[5,1,8,-2,5,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[7,1,
8,1,7,1,8,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-3,4,-1,7,-1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
1,7,-1,4,1,7,-1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,
1],[8,1,4,-1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,1,7,-1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,-2,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[8,1,7,-2,8,1,7,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,-1,5,1,8,-1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
2,5,1,8,-1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1,7,-2,4,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,2,4,1,7,-1]]],[[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,
7,-1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,2,4,1,7,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,-1,8,2,5,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,4]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,1,5,-1,8,1,5,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
4]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1,7,1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,-1,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[
7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,3,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,
-1,7,1],[9,1,5,1],[10,2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,-1,8,1,7,1,5,1,7,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
-4,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,
-1],[1,1,2,1],[7,1,6,1],[6,1,7,1,6,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,-1,6,1,7,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[10,2,11,1,9,1,11,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,3,9,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,-1,5,1,9,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
9,1,5,1],[11,1,9,1,11,1,10,-1,5,1,9,-2,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[9,1,5,1],[5,1,9,1,10,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
9,2,10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,7,1,5,1,8,1,5,1,7,1]],[[1,1,2,3],[3,2,2,1,1,
1],[4,5]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1,5,1,7,1,5,1,7,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[9,1,10,2,5,1,9,-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,
9,1],[10,1,5,1,9,-1,5,1,9,-2,10,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
9,1,5,1],[10,1,9,1,11,2,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,
2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[9,1,5,1],[10,2,11,1,9,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,
1,5,1],[11,1,9,1,10,2,11,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[9,1,10,1,5,1,9,-1,5,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[
9,2,5,1,9,1,10,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,
2,5,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,3,9,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[7,1,4,1,7,1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,-2]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,
4,-1,7,-3]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,1],[7,-1,8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,1,7,-1,5,1,8,1,7,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,2],[8,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,
7,1],[5,1,9,1],[10,2,5,1,9,-1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,
1,5,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[7,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,3,4,-1,7,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1]]],[[[
1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[5,1,8,3,5,-1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,-1,8,-1],[
10,1,9,1,10,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[5,1,8,1],[10,1,9,-1,8,1,10,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,
5,1],[5,1,7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[8,1,7,1,5,1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,
7,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[8,1,5,1,7,1,5,1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[
9,1,5,1],[5,1,9,-3,5,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,
1,9,1,10,1,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,1,10,-3,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[5,1,7,1],[8,1,5,1,7,1,5,1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,
8,1],[8,1,9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,
1],[9,1,11,-1,10,1,11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
9,1,10,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[9,2,
5,1,9,1,10,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,
1,7,-3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,3,8,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1],[8,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,5,1,7,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-1,5,1,7,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,2,5,1,7,2,5,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,
1,6,-2,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,
-1],[6,-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[
1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,-1,6,
-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,
2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,2,6,-2]],[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[
2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1]],[[1,1,2,1],[2,2],[1,
1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,
1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-1,10,2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,
1,8,-1,2,-1],[10,2,6,-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,
-1,10,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,
2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,-1,6,1,
10,-1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,
2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-1,10,-1,6,1]],[[1,
1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[
2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-2,10,1]],[[1,1,2,1],[2,2],[1,1,2,
-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,
-1,9,-1,7,1,8,-1,2,-1],[6,1,10,-1,6,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,
1,8,-1,2,-1],[6,1,10,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,
1,6,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-1,4,-1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,1,7,1,8,
-1,7,1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,1,8,1,
7,1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,1,7,1,4,-1,7,1,4,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,
4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,-1,6,1,7,1],[8,1,6,1,7,
-1,8,1]],[[1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,-1,5,1,7,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,
1,7,1,5,1,7,-1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,7,1,5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[7,1,5,1],[8,1,9,-2,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[10,1,9,2,5,1,10,-1,9,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[9,2],[10,1,5,1,9,-1,5,1,9,1,10,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,
2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,8,2,4,1,9,-1,
8,2,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,
5,-1,6,1,7,1,5,-1],[8,2],[9,1,4,1,8,-1,4,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,
2,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[7,2,5,1,7,-1,5,1,7,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,-3,7,2]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,
1],[8,1,7,1,4,1,7,-1,9,1,8,-1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,-1,8,-1,7,2,4,-1,8,1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,
7,1],[7,2,4,-1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[4,-1,7,-2],[9,1,8,-1,9,1,8,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1],[7,1,4,1],[9,1,7,-1,8,-1,9,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[7,1,4,-1,7,-1,8,1,7,1,4,1,7,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[8,1,5,1],[10,
1,8,-1,9,-1,10,-1,8,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,3,5,-1,8,-1,5,-1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,-1,
8,-1,9,1,8,1,5,1,8,1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,
-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,
7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,-1,7,
-3,4,1,7,-1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,
2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[7,1,4,1,7,-1,8,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,1,4,-1,8,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1],[8,1,7,2,4,-1,7,-2,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,1,4,-1,7,2,8,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
-1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,
-1,8,-1,7,1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,1,7,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,-2,8,-1,7,1,4,
-1,7,-1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,1,7,1],[7,2,4,-1,8,-2,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-3,4,-1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[7,1,4,1,7,1],[9,1,8,-1,9,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,-3,4,-1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
7,1,4,1,7,1],[9,1,8,-1,9,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[8,1,7,-1,
4,1,7,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,1,7,2,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-2,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
2,5,-1,8,-2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-2,9,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,-1,8,-2]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[8,1,7,-2,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,
1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,1,7,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,
7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,1,7,1],[8,1,4,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,
1,9,1],[9,1,5,1],[10,1,9,1,10,1,11,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,
1,9,1],[10,4,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[5,1,9,-1,10,1,9,1,10,2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[9,2,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,
5,1],[5,1,9,1,10,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,
3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,
10,2,5,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,
2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,5,1,10,
-1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,2,10,1,9,1,10,1]]],[[[
1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,
1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1,6,1]],[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,-2]],[[1,1,2,1],[
2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-3]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,2,7,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[5,1,7,-1,5,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,
8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,5,1,7,1,8,1]]],[[[1,1,2,1],[2,2],[1,1,
2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,
8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,-1,6,-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,
-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,
1,8,-1,2,-1],[10,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,
-1,2,-1],[6,-3]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,
1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,
2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,
1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1]]],[[[1,1,2,
1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[
2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,1,6,1]],[[1,1,2,1],[2,2],[1,1,
2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,
8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,
1,5,1,9,-2,5,1,9,-2,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,
2,5,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,3,5,1]]],[[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,
2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,-2,6,1]],[[1,1,2,1],[2,2],[1,1,2,-1,
4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,
9,-1,7,1,8,-1,2,-1],[10,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,2,7,-1,5,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,
1,7,1,5,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,
3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,
7,1,8,-1,2,-1],[6,1,10,2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,
-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,
1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,
-1],[10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,
-1],[6,2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[
6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,
2,2,1,1,1],[5,1,7,1],[5,1,7,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,
2,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[5,1,7,-2,8,1,7,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,
1,7,3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[
6,2,2,1,1,1],[7,1,5,1,7,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,
-1,5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,-3,5,1,9,
-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,
2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,-1,6,
-1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,
1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,2,6,1]],[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,-2]]],[[[2,1,1,1,2,-2,
1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,
1],[8,1,4,1],[8,1,10,-1,9,1,10,1,9,-1,8,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[
1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,8,1,9,1,
4,1,8,-2,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,
7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,8,1,9,3]],[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,4,1,
8,-2,9,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[9,1,11,
-1,10,1,11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,
1,10,1,5,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,
3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,5,1,9,-2,10,1,5,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[5,1,9,-2,10,-1,9,1,5,1,10,-2]],[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[9,1,5,1],[9,2,10,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[
9,2],[10,1,5,1,9,1,5,1,9,-1,10,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,
1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[4,1,8,-2,9,-1,8,1,
4,1,9,-2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,
5,-1,6,1,7,1,5,-1],[8,1,4,1],[8,2,9,1,8,1,9,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,2],[9,1,4,1,8,1,
4,1,8,-1,9,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,2,8,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,
7,-1],[9,1,8,-1,9,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,2,4,-1,7,1,4,1,8,-1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
1],[7,1,8,2,7,1,4,-1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,4,-1,7,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,
7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,1,7,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,1,5,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,
-1,10,-1,9,-2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,
1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,8,1,9,2]],[[2,1,1,1,2,-2,1,1,2,
2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,
-1,9,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,1,4,-1,7,2,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
7,1,4,1,7,1,8,-1,7,1,4,-1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,1,7,-2]]],[[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,
7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[9,1,8,1,7,1,9,1,8,1]]],[[[2,
1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,
-1],[8,1,4,1],[4,1,8,-1,4,1,8,2,9,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,
1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,9,-1,8,-1,
9,2,8,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,
5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,8,2,4,1,8,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,
-1,7,1],[9,1,5,1],[5,1,9,-1,5,1,9,2,10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,
9,1],[9,1,5,1,10,-1,9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
10,1,9,2,5,1,9,-1,10,-2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,
2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1,8,1,4,1,8,-1,4,1,8,-1]],[[1,1,2,
1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,4,1,5,1,3,-1],[6,3]],[[2,1,1,1,2,-2,1,1,2,
2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,-1,4,
1,8,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[
2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,1,5,1,9,-1,5,1,9,
-1]],[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,5,1,3,-1,4,1],[6,3]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,
1],[8,1,10,-1,9,1,10,1,9,-1,8,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[
2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,9,1],[9,1,10,1,9,1,
10,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,
-1,6,1,7,1,5,-1],[4,1,8,1],[9,2,8,2,4,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,1,5,1],[9,1,11,-1,10,1,11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,
-1,7,1],[5,1,9,1],[10,2,9,2,5,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,
9,1],[10,1,9,1,10,1,9,2,5,1,10,-1]],[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,
5,1,3,-1,4,1],[6,3]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,
1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1],[10,1,9,-1,8,-1,9,2,10,
-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,
6,1,7,1,5,-1],[4,1,8,1],[9,1,8,1,9,1,8,2,4,1,9,-1]],[[1,1,2,1],[2,2],[2,2,1,
1],[4,1,5,-1,3,-1,4,1,5,1,3,-1],[6,3]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,
2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1],[10,1,9,
-1,8,-1,9,2,10,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[
6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1,8,-3,4,1,8,-1]],[[2,1,1,1,2,-2,1,1,2,2],[
3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,4,
1,8,-2,9,-2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,
-1,5,-1,6,1,7,1,5,-1],[8,2,4,1,8,-2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,
9,1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,
1,5,1,9,-3,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,5,1,9,-2,
10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[
2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,-2,5,1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,
4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,2,8,1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[7,1,8,1,7,1,8,
-1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[4,1,7,-2,8,-1,7,1,4,1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,2,4,1,7,-2]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,
7,1,4,1,7,-1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,-1,8,1,7,1,4,1,7,1,8,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,1,7,-1]]],[[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,2,
4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,2,4,-1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,3,4,-1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,2,4,1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,
4,1,7,-1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,
7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1,7,1,4,1,7,2,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1],[9,1,7,-1,8,1,7,1,9,
-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,
4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,1],[10,
1,8,-1,9,1,8,1,10,-1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
1,7,2],[8,2,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,1,7,-1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1],[9,1,
8,1,9,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,
1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1],[9,1,8,-1,9,1,8,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,2],[9,2,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-1,5,1,8,-1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[8,1,9,
-1,7,-1,9,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,2,8,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,5,1,7,-2,5,1,
8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[8,2,7,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,-4,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,2],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,2,5,1,8,1,7,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
7,1,5,1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,3],[6,2,2,1,1,1],[7,2,5,1],[8,1,7,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,-2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,
1,7,-4,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,
1,5,1,10,-1,9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,5,
1,9,1,5,1,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,2,5,1,9,1]]],[[[1,
1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,
1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,-1,10,1,6,1]],[[1,1,2,1],[
2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,-2]],[[1,1,2,1],[2,1,
1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,1,8,1],[
8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-3,5,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,1,5,1,7,
-1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,1],[7,3,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,2,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[8,2,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,
1,7,1,5,1,7,-1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1,5,1,7,-3]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,2,5,1,
7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[7,2,5,1,7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,-1,8,-2]],[[1,1,2,
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2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,
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1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
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1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,2,4,1],[9,1,8,2,9,1]]],[[[
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1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,-1,7,1,4,-1,7,1,8,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
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1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,2],[8,2,4,-1]],[[1,
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2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,2,
8,1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[9,1,8,2,9,1,5,-1]],[[1,
1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[5,-1,8,-1,5,-1,8,1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,
-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,-1,7,1,8,-1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,
-1,7,-1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,
2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,1,4,1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[4,-1,7,1,8,1,7,1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-2,4,-1,7,-1,4,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,-1,4,-1,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,-1,8,2,5,
1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,2,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-2,4,-1,7,-2]]],[[[1,1,
2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[
8,1,5,1,8,2,5,1,8,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,-2,5,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,
7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[4,1,7,1],[8,1,9,-1,7,-1,9,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-2,8,1,7,1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,
-1,4,-1,7,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-1,10,
-1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,1,5,1,9,-1,10,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,1,9,2]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[5,1,9,-1,5,1,9,-1,10,-2]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,
8,1,6,-1,7,1],[9,1,5,1,9,1,5,1,9,-1,5,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[10,2,9,2,5,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,
2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
-1,5,1,9,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,
7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,2,8,2,4,1,9,-1,8,-1]],[[2,1,1,1,2,-2,1,1,
2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,-1,
4,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,5,1,9,-1,10,-1,
9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,3]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[5,1,9,1],[10,4,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[10,2,9,1,5,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[9,1,10,
1],[11,2,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,1],[5,1,7,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1],[7,1,8,2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,1],[7,1,8,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,1,7,1,8,1,7,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,2,10,1,5,1,9,-1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,
1,5,1,9,-3,5,1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[
1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,2,5,1,
9,-1,10,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,-1,7,1,4,1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,
-1,8,1,5,1,8,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,-1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,2,5,1,10,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[9,1,5,1,10,-1,5,1,9,-1,10,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[
2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,2,4,1,9,-1,8,-2,9,
-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,
6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,9,-1,4,1,8,-1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,
1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,-1,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,
7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[8,1,7,2,4,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,-1,7,-1,4,
-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,1,4,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-2]]],[[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,1,5,1,
8,-3,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[8,1,5,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,7,3]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,-1,7,-1,4,1,
7,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,
6,1,2,1,7,1],[5,-1,8,1,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,1,
7,-3,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[5,1,8,1],[10,1,9,1,8,1,10,1,9,1]],[[
1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[8,2,5,1,8,-1,5,-1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1],[9,1,8,1,7,1,9,1,8,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,
7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,-1,5,1,9,2,
10,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,1,10,-1,9,-1,10,1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,2,5,1,9,-1,10,-2]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[9,1,5,1,9,1,5,1,9,-1,5,1,9,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[
3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1],[4,1,8,
-1,4,1,8,2,9,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,
1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1],[4,1,8,1,9,-1,8,-1,9,1]],[[2,1,1,1,2,-2,1,
1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,
1],[9,1,8,2,4,1,8,-1,9,-2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,
2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1,8,1,4,1,8,-1,4,1,8,-1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[9,2],[10,1,5,1,9,1,10,1,5,1,9,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,
8,1,6,-1,7,1],[5,1,9,1],[10,1,5,1,9,-2,10,-1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,
-1,7,1],[5,1,9,-3,5,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,
1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1],[10,1,9,-1,8,-1,9,2,10,
-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,
6,1,7,1,5,-1],[8,2],[9,1,4,1,8,1,9,1,4,1,8,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,4,1,
8,-2,9,-1,8,1,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[
6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,-3,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,-1,7,1,4,1,7,
2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1,7,1,4,1,7,2,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,2,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,-1,7,1,
4,-1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,1,7,-2,4,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,-1,7,-1,4,-1,7,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1,7,1,4,-1,7,1,4,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,1,4,1,8,-1]]],[[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,
7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,1,7,-2]]],[[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,
5,1,8,-1,5,1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1,5,1,8,-2]]],[[[2,1,1,1,2,-2,1,1,2,
2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,2,4,1,8,
-1,4,1,8,-1,4,1,8,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,
1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,2,4,1,8,-1,9,-1,8,-1]],[[2,1,1,1,
2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[
8,1,4,1],[4,1,8,-1,9,-3,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,-1,
5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-1,10,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,-1,10,-3,9,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,2,4,-1,7,1,4,-1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
-2,4,-1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,1,7,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,4,1,
7,2,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,-1,7,1,4,-1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[
5,1,9,1],[9,1,5,1,9,-3,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,
3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,9,
-1,10,-1,5,1,9,1,5,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1,
9,-1,10,2,9,2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,
1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,8,-3,9,-2]],[[2,1,1,1,2,-2,1,1,2,
2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1],[4,
1,8,-1,9,-1,4,1,8,1,4,1,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[
2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,8,-1,9,2,8,2]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,
1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1,10,-1,5,1,9,-1,10,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[10,4,9,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,
1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1,9,-1,4,1,8,-1,9,1]],[[2,1,1,1,2,
-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,
1,8,-1,4,1,8,2]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,
1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,4,8,1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,2],[9,1,8,1,4,1,
9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,
6,1,7,1,5,-1],[8,1,4,1,8,3,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,
4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2],[10,1,
9,1,5,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[
2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,3,5,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2],[8,1,
5,1,7,-1,5,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-4]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[8,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,
1,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,
2,3],[6,2,2,1,1,1],[5,1,7,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1],[8,1,7,-1,5,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[5,1,7,-2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,
2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1],[7,-1,8,2,7,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,
1,5,1,7,1,5,1]],[[1,1,2,3],[3,2,2,1,1,1],[4,5]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1,7,-1,5,1,7,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[
5,1,7,1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,4,1,7,-2,8,-1,7,1,4,1,7,-1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,
4,1,7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
1,5,1,8,1],[9,1,5,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]],[[1,1,2,1],[2,1,3,1],[3,
1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,3,5,-1,8,-1,5,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,3,4,-1,7,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[
1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[8,3,5,-1,8,-1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-1,5,-1,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,
4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1],[8,1,7,-2,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,
4,-1,7,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,
4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,-1],[8,1,7,-1,4,-1,7,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,
1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,1,4,1,7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,
1,5,1,9,-1,5,1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,
1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[10,1,6,
1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1],[6,
-2]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2]]],[[[1,
1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,
1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,-1,10,-1,6,1]],[[1,1,2,1],[2,
2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[6,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[3,1,5,1,4,-1,5,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,
3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,
7,1,8,-1,2,-1],[10,1,6,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,
-1,4,1],[5,2],[1,1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,
-1,10,1]],[[1,1,2,1],[2,2],[1,1,2,-1,4,-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2],[1,
1,2,1],[2,1,1,1],[2,2],[7,1,9,1,8,-1,9,-1,7,1,8,-1,2,-1],[6,1,10,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,
7,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,
1,1,1],[7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[10,1,5,1,9,-2,10,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,-1,
5,1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2,5,1,9,-2,5,1]]],[[[2,1,1,1,2,
-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,
1,8,1],[9,1,4,1,8,-2,9,1,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,
2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,-1,4,1,8,-1,4,1,8,2]],[[2,1,
1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,
-1],[8,2,4,1,8,-2,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,-1,8,1,7,1,4,1,7,1,8,-1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,
7,-3,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,3,4,-1,7,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,-1,8,-1,9,1,8,1,5,1,
8,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,
1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,3,5,-1,8,-1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,
1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,2],[10,1,5,-2,10,1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,2],[5,-2,10,-2]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,-4,5,1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[4,1,7,-2,8,-1,7,1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,
1,8,1,7,1,4,-1,7,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,
2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[9,2],[5,-2,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,
2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[5,1,9,1],[10,1,5,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,1,9,-1,5,-2,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,
1,1,1,8,-1,2,-1,6,-1],[5,-2],[9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,
6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,2],[10,1,5,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,
8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-1,9,-4,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,
-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,-2,5,1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,
7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-1,9,-1,5,1,9,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,
6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,
7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,2],[5,-2,10,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,
7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[5,1,9,1],[10,2,9,2,10,1,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[9,2],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[5,1,9,-1,10,2,5,1,9,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,
2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,2,8,2,9,1,8,1,4,1]],[[
2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,
5,-1],[4,1,8,1],[8,2],[10,1,9,1,10,1,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,
1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[4,1,8,-1,9,2,4,
1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,3,1,1,1,2,-2,3,1,4,1,5,2,4,-1,3,
-1]],[[1,1,2,1],[1,1,2,-1],[2,2],[2,1,1,1,5,-1,3,-1,4,-1,3,1,2,1,4,1,2,-1,3,
-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,
1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,
3]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,
1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[4,1,7,-2,8,1,7,1,4,1,7,-1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,-1,7,1],[9,1,8,1,9,-1,8,
-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,-1],[5,1,8,-2,9,1,8,1,5,1,8,-1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,
4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,-1,8,
1],[10,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,
3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[9,2],[10,-2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,
2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[9,2,5,1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,
3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,
6,-1],[9,1,5,1,9,-1,5,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,2],[5,-2,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,2,5,-1,9,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,1],[8,1,9,-1,8,1,9,-1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
-2,4,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,1,8,
1],[9,1,10,-1,9,1,10,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
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1,8,1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1],[7,1,4,1],[9,1,7,-1,8,1,7,1,9,-1,8,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,
4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1],[8,1,4,1,8,-1]]],[[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[8,1,5,
1],[10,1,8,-1,9,1,8,1,10,-1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,
1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[8,1,5,-1,8,-1],[9,1,5,1,9,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-2,4,-1,7,-1,4,1]],[[1,1,
2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,
-1,4,1,7,1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[7,1,8,1,7,1,8,-1,4,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[4,-1,7,1,
8,1,7,1,8,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,8,2,5,1,8,1,9,1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[8,
1,9,1,5,1,9,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,2,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,1,
4,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
3],[6,2,2,1,1,1],[5,1,7,-1,5,1,7,-1]],[[1,1,2,3],[3,2,2,1,1,1],[4,4]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,
1,7,1],[7,1,6,1],[9,2,8,-1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,
5,1,4,-1,2,-1,3,-1,4,-1,5,-1],[1,1,2,1],[6,1,7,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,
8,1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-1,10,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,
1],[5,1,9,1],[5,1,9,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,
1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[5,1,
9,1,10,-1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[
1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,2,10,1,9,1,
5,1,10,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,3]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,
-1,6,-1,8,1,6,-1,7,1],[9,-1,5,1,9,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-2,4,-1,7,
-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[7,1,4,1,7,-1,8,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,
4,-1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,-1,7,-1,4,1,7,-1,4,1,7,2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1],[8,1,7,-1,4,1,7,1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,-2,4,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,-1,7,1,4,-1,7,1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[
8,1,5,1,8,-1,9,1,8,-1,5,1,8,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,9,1,8,1,5,-1,8,
1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[8,1,5,1,8,-3,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,-2,5,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,2,8,
-1,7,1,4,-1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,
6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,8,1,7,1,4,-1,7,1]]],[[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[5,1,8,
2,9,-1,8,1,5,-1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,9,1,8,1,5,-1,8,1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,1,5,-1,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1,5,1,8,-2]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,-1,7,1,4,
-1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,-1,7,1,4,1,7,-2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[
2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,4,1],[10,1,9,-1,8,
-1,9,2,10,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,
7,-1,5,-1,6,1,7,1,5,-1],[8,3,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[
2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[9,1,8,1,9,1,8,2,4,1,8,
-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,
2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,
1],[9,1,5,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,3,
5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,1,9,2,5,1,9,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-4]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,
1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,
2,1,1,1],[5,1,7,-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,
1,7,-1,4,-1,7,1,8,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
1,5,-1,8,1],[9,1,5,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1],[9,1,8,-1,5,-1,8,1,9,-1]]],[[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[7,1,4,-1,7,-1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-2,4,1,7,
2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[7,1,4,-1,7,-1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[4,1,7,-2,8,-1,7,1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,
-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,
4,-1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,1,5,1,8,
-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[5,-1,8,-1,5,-1,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,
1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-2,4,-1,7,2,
4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1,4,1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,
1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,1],[8,1,7,2,8,1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,
-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1],[8,1,7,2,4,1,7,-1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,
7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,3,4,-1,7,-1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,-1,7,-2]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,
-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,1,7,-3,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1,5,-1,8,-2]],[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,
-1,5,-1,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,-3,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,
7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,
7,-1,8,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,8,-1,9,1,8,1,5,1,8,1]],[[1,1,2,1],[2,
1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,
8,1],[9,1,5,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[5,1,8,1,9,1,8,1,5,-1,8,-1,9,-1]]],[[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
8,1,7,-2,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[
9,1,8,-2,9,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-1,5,-1,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,1,8,1]]],[[[
2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,
5,-1],[8,2,4,1,8,-1,4,1,8,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,
-1,8,1,6,-1,7,1],[9,2,5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
1,2,2,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,5,1,10,-3,9,2,
5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,4]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1],[10,2,5,1,9,-2,10,-2]]],[[[1,1,2,1],[2,2],[1,1,2,-1,4,
-1,3,-1,4,1,2,2,1,1,3,-1,4,1],[5,2]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,-1,
5,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,
1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
2,4,1,7,1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,
8,-1,2,-1,6,-1],[9,2],[10,1,5,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,
1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,2,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,-4]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,
1,1,1,8,-1,2,-1,6,-1],[5,1,9,-1],[10,1,5,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,-2],[9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,-4]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,
-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,
-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,
7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-1,9,-1,5,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,-4]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-2,9,1,5,-2,9,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,-2,5,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,
-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,
1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,2,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,
1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-2,9,-2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,
-4]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,1,9,1]],[[1,1,2,1],[2,1,3,1],[3,1,
4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]],[[
1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,
1],[8,1,5,1,8,1,5,1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,
4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,1,4,1,7,1,4,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[5,1,9,-2,5,1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,
2,1,1,1,5,-1,2,-1,3,-1],[6,-4]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,
2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,2],[10,1,9,1,10,1,9,
1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,
1,7,1,5,-1],[4,1,8,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,2],[
11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,
1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-4]]],[[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,
7,-1,4,1,7,-1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,-1,4,1,7,-1]]],[[[1,1,2,1],[2,1,
3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,
8,-1,5,1,8,-1,5,-1,8,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,
1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,-1,5,1,8,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,
1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,2,5,1,9,-2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,-4]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[
2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[
9,1,8,1,5,1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]]],[[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,1,
7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,2,4,1,7,1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-1,4,-1,7,2]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,-1,
4,-1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[7,1,4,1],[7,1,8,1,7,1,8,-1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,
1,7,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,
1,6,1,2,1,7,1],[5,-1],[8,1,5,1,8,-1,9,-1,8,-1,5,-1,8,-1,9,-1]],[[1,1,2,1],[2,
1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2],[5,
-1,9,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,-1],[7,1,4,1,7,-1,8,-1,7,-1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2],[4,-1,8,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,1,9,1,10,1,9,2,5,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,2],[9,1,5,1,10,-1,9,-1,5,1,10,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,
8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]]],[[[2,1,1,
1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,
-1],[4,1,8,1],[9,1,8,1,9,1,8,2,4,1,9,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,
2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,2],[8,1,4,1,9,-1,8,-1,4,
1,9,-1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,
-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,9,1],[10,1,9,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,3,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,4,1,5,1,2,1,4,
1,3,-1,5,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
-1],[5,-2,9,1,5,-1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[5,1,9,2,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[5,1,9,3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,
3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[9,1,5,-1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,1,5,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,1,9,-4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,
2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,
1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,2,9,2,10,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,
1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,1,5,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[9,1,5,1,9,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[
2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,9,2,8,2,9,1]],[[2,1,1,1,
2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[
4,1,8,-1,4,1,8,1,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,
1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,
6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,
8,-1,2,-1,6,-1],[9,2,5,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,-2],[9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1,7,1,5,1]],[[1,1,2,3],[3,
2,2,1,1,1],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,3],[6,2,2,1,1,1],[7,3,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,2,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,-1,5,1,7,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,
1,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,4,-1,2,-1,
3,-1,4,-1,5,-1]],[[1,1,2,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1,4,1,7,1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,
4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,
-1,7,1],[9,1,5,1,9,4,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,
-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,-1,5,1,9,
1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,
6,1,7,1,5,-1],[8,1,4,1,8,4,4,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,
2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,-1,4,1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[2,2],[5,1,4,-1,5,-1,3,-1,2,1,1,1,3,1,2,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[1,1,2,-1,3,1,2,1,3,1,4,1,5,-1,2,-1,3,-1,4,1,3,1,5,1]],[[1,1,2,1],[2,
2],[3,1,2,1,4,1,1,1,2,-2,3,1,2,1,3,1,4,1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[3,1,2,1,4,1,5,-1,3,-1,2,-2,3,-1,5,1,4,1,3,-1,4,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,3,1],[3,1,6,1,4,1,5,-1,6,-1,3,1,2,1,6,1,2,1,4,1,3,-1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,
1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,3]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-2,9,1,5,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[
2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,
1],[8,1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[7,2,4,1,7,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1],[9,1,5,-1,9,
-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[8,2,5,1,8,1,5,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,-1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,
4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,-1,7,3,4,-1,7,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,4,1,7,-2,8,1,7,1,4,-1,7,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[
7,1,4,-1,7,-1],[9,1,8,-1,9,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[7,1,4,1,7,-1],[9,1,8,1,9,1,8,
1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,1,8,-1,5,-1,8,2,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,-1,8,-1,5,-1,8,-1]],[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
-1,8,-1,5,-1,8,1,5,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,-1,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,-1,7,-1,4,-1,7,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,
4,1,7,1,4,1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,7,1,8,1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,
-1,7,-1,8,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,1,7,-1,4,1,
7,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,
5,-1,6,-1],[4,1,7,1],[7,1,8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,-1,7,1]],[[1,1,2,
1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,
-1,4,-1,7,-3]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,1,8,1],[8,1,9,1,5,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,
4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,-1,5,1,8,1,5,
-1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,
6,1,2,1,7,1],[5,-1,8,-1,5,-1,8,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[
9,1,5,1,10,-3,9,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[
1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[10,2],[11,2,
9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1],[10,1,9,2,10,1,9,-1,5,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,
1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-1,9,2,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,
3,-1],[6,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,-2,3,-1,2,1,1,1,3,1,2,1,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[
2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-1,9,2]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,
8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,1,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,
1,1,1,8,-1,2,-1,6,-1],[9,2,5,-1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
-1],[9,1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
-1],[5,1,9,2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[
5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[
2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-1,
9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,
2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,
9,-1,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,
1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-1,9,
-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,
1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,
-2],[9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
-1],[9,1,5,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,
1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,
1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,-4,5,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,
1,8,1],[8,1,9,2,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[
2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,2,7,1,4,
1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,
3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,
6,-1],[9,1,5,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[5,1,9,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[9,1,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,
2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[5,1,9,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,-1,4,-1,7,-1,8,1,7,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,1,4,-1,7,
1,4,1,7,2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,-1,5,-1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,1,5,-1,8,
1,5,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[
2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[5,1,9,1],[9,1,10,1],[11,1,10,1,
11,1,10,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,
2],[2,2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,-3,5,1,9,1,5,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1],[8,1,9,
1],[10,1,9,1,10,1,9,1]],[[2,1,1,1,2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,
1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[8,1,4,1,8,-3,4,1,8,1,4,1]],[[2,1,1,1,2,-2,1,
1,2,2],[3,10]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,
6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2],[5,-1,9,
-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[5,1,8,-1,5,1,8,1,5,1,8,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,-1,7,-1,8,1,7,1]],[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
2],[4,-1,8,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[5,1,7,-1,5,1]],[[1,1,2,3],[
3,2,2,1,1,1]]],[[[1,1,2,3],[3,2,2,1,1,1],[4,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,3],[6,2,2,1,1,1],[7,1,5,1]]],[[[1,1,2,3],[3,2,
2,1,1,1],[4,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,
-1],[4,1,7,1,8,1,7,1,4,-1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1],[8,
1,7,-1,4,-1,7,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,
1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[8,1,7,2,8,1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,4,
-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,-1,4,-1,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,1,4,
1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[1,1,2,1],[
3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,
-1,4,-1,7,2]]],[[[2,1,1,1,2,-2,1,1,2,2],[3,10]],[[2,1,1,1,2,-2,1,1,2,2],[3,
10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[4,1,8,1,4,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,2,1,1],[7,1,8,-1,6,-1,8,
1,6,-1,7,1],[5,1,9,1,5,1,9,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,4,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
4,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,1,4,
-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,
-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,2,4,1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1,4,1,7,1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
1,5,1,8,2,5,1,8,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,
7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,1,8,
-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,
1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1,4,1,
7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,2,4,1,7,-1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]]],[[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,
1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,1,7,1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,1,7,-3]]],[[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1],[9,
1,5,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
1,7,1,6,1,2,1,7,1],[5,1,8,1,5,1,8,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-1,5,1,8,-3]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
1,5,-1,8,1],[9,1,5,1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,3,1],[3,
1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-2,5,1,8,
2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,-1,7,1],[8,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,1,4,-1]],[[1,1,2,1],[3,-1,2,
2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-2,4,1,7,
2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[4,1,7,1],[8,1,7,1,4,1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,1]],[[1,1,2,1],[3,
-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,1,7,-3,
4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,
6,1,2,1,7,1],[5,1,8,1],[8,1,9,2,8,1,5,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,
2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,1],[9,1,5,-1,9,
-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,
2,1,7,1],[5,1,8,-1,5,-1,8,-2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,1],[7,1,8,2,7,1,4,1]],[[1,1,2,1],[3,-1,
2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,
1,4,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,
-2,5,-1,6,-1],[4,1,7,-1,4,-1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,1,9,-2,5,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,
1,8,-1,2,-1,6,-1],[5,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,5,-2,3,1,5,1,
4,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,-1,3,-1,2,1,3,1,1,1,2,-1,3,
1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1],[3,1,2,1,3,1,4,1,5,1,1,1,2,-1,
3,1,2,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,
1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
-1],[5,1,9,1],[10,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,
3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,
-1,6,-1],[9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[
1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[
5,1,9,-1,5,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,3,1,4,1,5,-1,3,-1,2,1,1,
1,5,1,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,-1,3,-1,2,1,3,1,1,1,2,-1,3,
1,5,1,4,1,5,-1]],[[1,1,2,1],[2,2],[3,1,4,2,2,1,3,1,4,1,1,1,2,-1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,2,1,4,1,5,-1,1,1,2,-1,3,1,5,1,4,1,5,1,2,1,
3,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,
-1,6,-1],[7,2,4,1,7,-1,4,-1,7,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[4,-1,7,-1,4,-1,7,1,4,
1]]],[[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,3,1,1,1,2,-2,3,1,4,1,5,2,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[5,1,4,-1,3,-1,2,1,3,1,1,1,2,-1,3,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,-4]],[[1,1,2,1],[
2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,
1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,
7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,1,1,3,
1,2,1,4,-1]],[[1,1,2,1],[3,-1,1,1,2,-1,3,1,2,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,
2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-2,9,1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[
2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,-2]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,
8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,1,9,1,5,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,
1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,-2,9,2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,
6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[5,1,9,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,
6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,-2,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,2,1,4,1,3,-1,2,3,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,
3,-1,2,1,1,1,5,-1,2,-1,3,-1],[6,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,
1,3,-1,2,3,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[
1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[
9,1,5,1,9,-1,5,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,
2,1,1,1,5,-1,2,-1,3,-1],[6,-4]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,
-1,2,3,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,3,3,1],[1,1,2,
1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,-1],[9,1,5,
-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,
3],[3,2,2,1,1,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,
-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,-1,7,2,4,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,1],[8,1,4,-1,8,-1]],[[
1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,
1,4,1,7,1,4,1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,-1,3,1,5,1,2,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,2,-2,3,1,2,1]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,
3,-1]],[[1,1,2,1],[1,1,2,-1],[2,2],[4,1,2,-1,3,1,2,1,3,1,5,1,4,-1,5,-1,3,-1,1,
1,2,-1]],[[1,1,2,1],[2,2],[2,1,3,1,4,1,1,1,2,-2,3,-1,2,1,1,1,3,1,2,1,4,
1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,
6,-1],[7,1,4,1,7,1,4,1,7,-2]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,4,1,7,1,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,-1,7,
2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[8,1,5,1,8,1,5,1,8,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,-1,8,
-1,5,-1,8,2]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[4,-1],[8,1,7,1,4,1,7,-1,8,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1,4,1,7,-2]],[[1,
1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,2,
4,1,7,1,4,-1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,5,1,6,-1,
2,-2,5,-1,6,-1],[7,1,4,-1,7,3,4,-1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,
1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1],[9,1,8,1,5,1,
8,-1,9,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,
7,1,6,1,2,1,7,1],[8,1,5,-1,8,-1,5,1,8,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,2,5,1,8,1,5,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,
1,5,-1,8,3,5,-1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,
-1,6,1,7,1,6,1,2,1,7,1],[8,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,3,4,1,3,-1,
4,1,2,-1]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,1,1,1,2,-2,3,1,4,-1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,
1,4,1,5,1,2,1,4,1,3,-1,5,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,-1,3,
-1,2,1,3,1,1,1,2,-1,3,1,5,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,
1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,
1,1,8,-1,2,-1,6,-1],[5,1,9,1],[10,-1,9,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,
2,1,4,1,3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,
1,1,1,8,-1,2,-1,6,-1],[5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,
3,-1,2,3,3,1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,
-1,2,-1,6,-1],[5,-1,9,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[5,-1,8,-2,5,1,8,2]],[[1,1,2,1],[2,1,3,1],[
3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,8,1,5,-1,
8,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,
1,2,1,7,1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,
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1],[1,1,2,1],[2,1,1,1],[2,2],[2,1,7,1,6,1,7,-1,8,-1,6,-1,2,1,1,1,8,-1,2,-1,6,
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-2]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[
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1,2,-2,3,1,2,1]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,-1]],[[1,1,2,
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3,1,2,1,1,1,2,-2,3,1,2,1]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,
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1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,2,-1,3,1,4,-1,2,
-2]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,4,1,2,1,3,-1]],[[1,1,2,1],[2,1,1,1],[
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4,1,2,-2,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
5,1,6,-1,2,-2,5,-1,6,-1],[4,1,7,-1,4,1,7,1]],[[1,1,2,1],[3,-1,2,2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,5,1,6,-1,2,-2,5,-1,6,-1],[7,1,4,-1,7,-1]]],[[[1,1,2,1],[2,
1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,1,5,1,
8,1,5,-1,8,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,7,-1,6,
1,7,1,6,1,2,1,7,1],[8,2],[5,-1,9,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,7,-1,6,1,7,1,6,1,2,1,7,1],[8,-1,5,-1]]],[[[1,1,2,1],[3,-1,2,
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1,6,-1,2,-2,5,-1,6,-1],[7,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,
4,1,3,-1,2,3,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,1,4,-1,5,-1,3,-1,2,1,
1,1,5,-1,2,-1,3,-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,3,
4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1,2,-2,3,-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],[5,1,4,1,3,1,5,
1,2,-2,3,-1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,1,4,1,3,-1,2,
3,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[2,2],[2,1,3,1,2,-2,1,1,4,1,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,2,-1,3,-1,4,-1,3,-1,4,1,2,-3,3,-1,2,
-1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1,2,
-2,3,-1,2,-1]],[[2,1,1,1],[2,2],[2,1,3,1,2,-2,1,1,4,1,3,1,4,-1]]],[[[2,1,1,1,
2,-2,1,1,2,2],[3,10],[1,1,2,1],[2,2],[2,2,1,1],[6,1,7,-1,5,-1,6,1,7,1,5,-1],[
8,1,4,1,8,1],[9,4]],[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,4,1,5,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1],[1,1,2,1],[2,2],[2,
2,1,1],[7,1,8,-1,6,-1,8,1,6,-1,7,1],[9,1,5,1,9,1],[10,4]],[[1,1,2,1],[2,2],[2,
2,1,1],[4,1,5,-1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,3,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,-1,2,1,1,1,
2,-2,3,-1,2,-1]],[[2,1,1,1],[2,2],[2,1,3,1,2,-2,1,1,4,1,3,1,4,-1]]],[[[2,1,1,
1,2,-2,1,1,2,2],[3,10]],[[1,1,2,1],[2,2],[2,2,1,1],[4,1,5,-1,3,-1,4,1,5,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,3,-1]],[[1,1,2,1],[2,2],[
2,2,1,1],[4,1,5,-1,3,-1,5,1,3,-1,4,1]]],[[[1,1,2,1],[3,-1,2,2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,4,-1,2,-2,3,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,1,2,1,4,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "L3(8)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,2,7],[1,2,3,8],[1,9],[1,10],[1,
11],[1,2,4,12],[1,2,5,13],[1,2,4,5,14],[1,2,6,15],[1,2,4,6,16],[1,2,4,7,17],[
1,2,4,7,18],[1,2,4,7,19],[1,2,5,6,7,20],[1,3,21],[1,2,3,5,22],[1,2,3,6,23],[1,
2,11,24],[1,2,9,25],[1,2,4,6,12,16,26],[1,2,4,5,12,14,27],[1,2,4,5,13,14,28],[
1,2,4,6,15,16,29],[1,2,4,7,12,17,18,19,30],[1,2,4,7,17,19,31],[1,2,4,7,17,18,
19,32],[1,2,4,7,18,19,33],[1,2,4,7,17,18,34],[1,2,4,5,6,7,14,16,17,20,35],[1,
2,4,5,6,7,14,16,19,20,36],[1,2,4,5,6,7,14,16,18,20,37],[1,2,4,5,7,14,17,19,
38],[1,2,4,5,7,14,17,18,39],[1,2,4,5,7,14,18,19,40],[1,2,4,6,7,16,17,18,41],[
1,2,4,6,7,16,17,19,42],[1,2,4,6,7,16,18,19,43],[1,2,3,8,21,44],[1,3,9,45],[1,
3,10,46],[1,2,3,5,6,7,8,20,22,47],[1,2,3,5,6,7,8,20,23,48],[1,2,4,9,25,49],[1,
2,4,5,12,13,14,27,28,50],[1,2,4,6,12,15,16,26,29,51],[1,2,4,7,12,17,18,19,30,
34,52],[1,2,4,7,12,17,18,19,30,32,53],[1,2,4,7,12,17,18,19,30,31,54],[1,2,4,7,
12,17,18,19,30,33,55],[1,2,4,7,12,17,18,19,30,56],[1,2,4,7,12,17,18,19,30,
57],[1,2,4,5,7,12,14,17,18,19,27,30,38,58],[1,2,4,5,7,12,14,17,18,19,27,30,39,
59],[1,2,4,5,7,12,14,17,18,19,27,30,40,60],[1,2,4,6,7,12,16,17,18,19,26,30,43,
61],[1,2,4,6,7,12,16,17,18,19,26,30,42,62],[1,2,4,6,7,12,16,17,18,19,26,30,41,
63],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,35,36,37,64],[1,2,4,5,6,7,14,
15,16,17,18,19,20,29,35,36,37,41,42,43,65],[1,2,4,5,6,7,13,14,16,17,18,19,20,
28,35,36,37,38,39,40,66],[1,2,4,6,7,16,17,18,19,31,32,33,34,41,42,43,67],[1,2,
4,5,7,14,17,18,19,31,32,33,34,38,39,40,68],[1,2,3,8,9,25,45,69],[1,2,3,4,6,15,
16,23,29,70],[1,2,3,4,5,13,14,22,28,71],[1,9,10,11,72],[1,2,4,9,12,73],[1,2,4,
9,12,74],[1,2,4,10,12,75],[1,2,4,10,12,76],[1,2,4,11,12,77],[1,2,4,11,12,78],[
1,2,4,11,12,79],[1,2,5,11,13,80],[1,2,6,11,15,81],[1,2,4,9,12,25,49,82],[1,3,
9,21,45,83],[1,2,4,5,12,13,14,27,28,50,84],[1,2,4,6,12,15,16,26,29,51,85],[1,
2,4,7,12,17,18,19,30,57,86],[1,2,4,7,12,17,18,19,30,56,87],[1,2,4,7,12,17,18,
19,30,32,53,88],[1,2,4,6,7,12,15,16,17,18,19,26,29,30,41,42,43,51,61,62,63,
89],[1,2,4,5,7,12,13,14,17,18,19,27,28,30,38,39,40,50,58,59,60,90],[1,2,4,5,7,
12,14,17,18,19,27,30,31,32,38,39,40,53,54,56,57,58,59,60,91],[1,2,4,5,7,12,14,
17,18,19,27,30,32,34,38,39,40,52,53,56,57,58,59,60,92],[1,2,4,5,7,12,14,17,18,
19,27,30,32,33,38,39,40,53,55,56,57,58,59,60,93],[1,2,4,6,7,12,16,17,18,19,26,
30,32,34,41,42,43,52,53,56,57,61,62,63,94],[1,2,4,6,7,12,16,17,18,19,26,30,32,
33,41,42,43,53,55,56,57,61,62,63,95],[1,2,4,6,7,12,16,17,18,19,26,30,31,32,41,
42,43,53,54,56,57,61,62,63,96],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,34,
35,36,37,38,41,52,56,58,63,64,97],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,
31,35,36,37,40,42,54,56,60,62,64,98],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,
30,33,35,36,37,39,43,55,56,59,61,64,99],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,
27,30,33,35,36,37,40,41,55,57,60,63,64,100],[1,2,4,5,6,7,12,14,16,17,18,19,20,
26,27,30,34,35,36,37,39,42,52,57,59,62,64,101],[1,2,4,5,6,7,12,14,16,17,18,19,
20,26,27,30,31,35,36,37,38,43,54,57,58,61,64,102],[1,2,4,6,7,12,16,17,18,19,
26,30,31,33,34,41,42,43,52,54,55,57,61,62,63,103],[1,2,4,6,7,12,16,17,18,19,
26,30,31,33,34,41,42,43,52,54,55,56,61,62,63,104],[1,2,4,5,7,12,14,17,18,19,
27,30,31,33,34,38,39,40,52,54,55,57,58,59,60,105],[1,2,4,5,7,12,14,17,18,19,
27,30,31,33,34,38,39,40,52,54,55,56,58,59,60,106],[1,2,4,5,7,12,14,17,18,19,
27,30,31,32,33,34,38,39,40,52,53,54,55,58,59,60,68,107],[1,2,4,6,7,12,16,17,
18,19,26,30,31,32,33,34,41,42,43,52,53,54,55,61,62,63,67,108],[1,2,4,5,6,7,12,
14,16,17,18,19,20,26,27,30,32,33,35,36,37,38,42,53,55,58,62,64,109],[1,2,4,5,
6,7,12,14,16,17,18,19,20,26,27,30,32,34,35,36,37,40,43,52,53,60,61,64,110],[1,
2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,31,32,35,36,37,39,41,53,54,59,63,64,
111],[1,2,4,7,12,17,18,19,30,31,32,34,52,53,54,56,57,112],[1,2,4,7,12,17,18,
19,30,31,32,33,53,54,55,56,57,113],[1,2,4,7,12,17,18,19,30,32,33,34,52,53,55,
56,57,114],[1,2,4,5,6,7,12,13,14,16,17,18,19,20,26,27,28,30,35,36,37,38,39,40,
50,58,59,60,64,66,115],[1,2,4,5,6,7,12,14,15,16,17,18,19,20,26,27,29,30,35,36,
37,41,42,43,51,61,62,63,64,65,116],[1,117],[1,2,3,4,5,6,7,8,13,14,16,17,18,19,
20,22,28,35,36,37,38,39,40,47,66,71,118],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,23,29,35,36,37,41,42,43,48,65,70,119],[1,2,9,10,11,24,25,72,120],[1,2,4,5,
9,12,14,25,27,73,121],[1,2,4,6,9,12,16,25,26,74,122],[1,2,3,8,9,21,25,44,45,
69,83,123],[1,2,4,5,6,7,12,14,15,16,17,18,19,20,26,27,29,30,35,36,37,41,42,43,
51,61,62,63,64,65,85,89,116,124],[1,2,4,5,6,7,12,13,14,16,17,18,19,20,26,27,
28,30,35,36,37,38,39,40,50,58,59,60,64,66,84,90,115,125],[1,2,4,5,6,7,12,14,
16,17,18,19,20,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,52,53,54,55,56,
57,58,59,60,61,62,63,64,87,91,92,93,94,95,96,97,98,99,104,106,112,113,114,
126],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,52,53,54,55,56,57,58,59,60,61,62,63,64,86,91,92,93,94,95,96,100,101,
102,103,105,112,113,114,127],[1,2,4,5,6,7,12,14,15,16,17,18,19,20,26,27,29,30,
31,32,33,34,35,36,37,38,41,42,43,51,52,53,54,55,56,57,58,61,62,63,64,65,67,89,
94,95,96,97,102,103,104,108,109,116,128],[1,2,4,5,6,7,12,14,15,16,17,18,19,20,
26,27,29,30,31,32,33,34,35,36,37,40,41,42,43,51,52,53,54,55,56,57,60,61,62,63,
64,65,67,89,94,95,96,98,100,103,104,108,110,116,129],[1,2,4,5,6,7,12,14,15,16,
17,18,19,20,26,27,29,30,31,32,33,34,35,36,37,39,41,42,43,51,52,53,54,55,56,57,
59,61,62,63,64,65,67,89,94,95,96,99,101,103,104,108,111,116,130],[1,2,4,5,6,7,
12,13,14,16,17,18,19,20,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,50,52,53,
54,55,56,57,58,59,60,63,64,66,68,90,91,92,93,97,100,105,106,107,111,115,131],[
1,2,4,5,6,7,12,13,14,16,17,18,19,20,26,27,28,30,31,32,33,34,35,36,37,38,39,40,
42,50,52,53,54,55,56,57,58,59,60,62,64,66,68,90,91,92,93,98,101,105,106,107,
109,115,132],[1,2,4,5,6,7,12,13,14,16,17,18,19,20,26,27,28,30,31,32,33,34,35,
36,37,38,39,40,43,50,52,53,54,55,56,57,58,59,60,61,64,66,68,90,91,92,93,99,
102,105,106,107,110,115,133],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,52,53,54,55,56,57,58,59,60,61,62,63,64,67,68,
92,94,97,101,103,104,105,106,107,108,110,112,114,134],[1,2,4,5,6,7,12,14,16,
17,18,19,20,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,52,53,54,55,56,57,
58,59,60,61,62,63,64,67,68,91,96,98,102,103,104,105,106,107,108,111,112,113,
135],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,52,53,54,55,56,57,58,59,60,61,62,63,64,67,68,93,95,99,100,103,104,
105,106,107,108,109,113,114,136],[1,2,4,5,6,7,12,14,16,17,18,19,20,26,27,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,52,53,54,55,56,57,58,59,60,61,62,63,64,
67,68,88,91,92,93,94,95,96,107,108,109,110,111,112,113,114,137],[1,2,4,5,6,7,
12,13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,97,98,99,100,101,102,
109,110,111,115,116,138],[1,3,9,10,11,46,72,139],[1,2,3,5,6,7,8,10,20,22,23,
46,47,48,140],[1,2,3,4,6,12,15,16,23,26,29,51,70,85,141],[1,2,3,4,5,12,13,14,
22,27,28,50,71,84,142],[1,3,117,143],[1,2,4,6,9,12,15,16,25,26,29,49,51,74,
122,144],[1,2,4,5,9,12,13,14,25,27,28,49,50,73,121,145],[1,2,4,5,6,7,12,13,14,
15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,84,90,91,92,93,97,98,99,100,
101,102,105,106,107,109,110,111,115,116,125,131,132,133,138,146],[1,2,4,5,6,7,
12,13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,85,89,94,95,96,97,98,
99,100,101,102,103,104,108,109,110,111,115,116,124,128,129,130,138,147],[1,2,
4,5,6,7,12,13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,126,127,128,129,130,131,132,133,134,135,136,137,138,
148],[1,2,3,8,9,10,11,24,25,46,72,120,139,149],[1,2,3,4,5,6,7,8,12,13,14,16,
17,18,19,20,22,26,27,28,30,35,36,37,38,39,40,47,50,58,59,60,64,66,71,84,90,
115,118,125,142,150],[1,2,3,4,5,6,7,8,12,14,15,16,17,18,19,20,23,26,27,29,30,
35,36,37,41,42,43,48,51,61,62,63,64,65,70,85,89,116,119,124,141,151],[1,2,4,9,
10,11,12,25,49,72,73,74,75,76,77,78,79,82,152],[1,2,4,6,9,12,15,16,26,29,51,
73,85,153],[1,2,4,5,9,12,13,14,27,28,50,74,84,154],[1,2,4,6,11,12,15,16,26,29,
51,78,79,81,85,155],[1,2,4,5,11,12,13,14,27,28,50,77,79,80,84,156],[1,2,4,6,
11,12,15,16,26,29,51,77,85,157],[1,2,4,6,10,12,15,16,26,29,51,75,76,85,158],[
1,2,4,5,11,12,13,14,27,28,50,78,84,159],[1,2,4,5,10,12,13,14,27,28,50,75,76,
84,160],[1,2,4,5,9,12,13,14,25,27,28,49,50,73,82,84,121,145,161],[1,2,4,6,9,
12,15,16,25,26,29,49,51,74,82,85,122,144,162],[1,2,4,7,10,12,17,18,19,30,57,
75,86,163],[1,2,4,7,10,12,17,18,19,30,56,76,87,164],[1,2,4,7,11,12,17,18,19,
30,32,53,79,88,165],[1,2,3,4,8,11,12,21,24,44,79,166],[1,2,3,5,8,11,13,21,24,
44,80,167],[1,2,3,6,8,11,15,21,24,44,81,168],[1,2,4,5,6,7,12,13,14,15,16,17,
18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,146,147,148,
169],[1,2,3,4,6,12,15,16,21,23,26,29,51,70,85,141,170],[1,2,3,4,5,12,13,14,21,
22,27,28,50,71,84,142,171],[1,2,4,5,6,7,11,12,14,15,16,17,18,19,20,24,26,27,
29,30,35,36,37,41,42,43,51,61,62,63,64,65,77,85,89,116,124,157,172],[1,2,4,5,
6,7,11,12,13,14,16,17,18,19,20,24,26,27,28,30,35,36,37,38,39,40,50,58,59,60,
64,66,78,84,90,115,125,159,173],[1,2,4,5,6,7,9,12,13,14,16,17,18,19,20,25,26,
27,28,30,35,36,37,38,39,40,50,58,59,60,64,66,74,84,90,115,122,125,154,174],[1,
2,4,5,6,7,9,12,14,15,16,17,18,19,20,25,26,27,29,30,35,36,37,41,42,43,51,61,62,
63,64,65,73,85,89,116,121,124,153,175],[1,2,3,4,5,6,7,8,12,13,14,16,17,18,19,
20,21,22,26,27,28,30,35,36,37,38,39,40,44,47,50,58,59,60,64,66,71,84,90,115,
118,125,142,150,171,176],[1,2,3,4,5,6,7,8,12,14,15,16,17,18,19,20,21,23,26,27,
29,30,35,36,37,41,42,43,44,48,51,61,62,63,64,65,70,85,89,116,119,124,141,151,
170,177],[1,2,3,4,6,9,12,15,16,23,26,29,45,51,70,73,85,141,153,178],[1,2,3,4,
5,9,12,13,14,22,27,28,45,50,71,74,84,142,154,179],[1,2,4,5,6,7,9,12,13,14,15,
16,17,18,19,20,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,74,84,90,91,92,93,97,98,99,
100,101,102,105,106,107,109,110,111,115,116,122,125,131,132,133,138,144,146,
154,174,180],[1,2,4,5,6,7,9,12,13,14,15,16,17,18,19,20,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,73,85,89,94,95,96,97,98,99,100,101,102,103,104,108,109,110,111,
115,116,121,124,128,129,130,138,145,147,153,175,181],[1,2,3,4,5,6,7,8,9,12,13,
14,16,17,18,19,20,22,25,26,27,28,30,35,36,37,38,39,40,45,47,50,58,59,60,64,66,
69,71,74,84,90,115,118,122,125,142,150,154,174,179,182],[1,2,3,4,5,6,7,8,9,12,
14,15,16,17,18,19,20,23,25,26,27,29,30,35,36,37,41,42,43,45,48,51,61,62,63,64,
65,69,70,73,85,89,116,119,121,124,141,151,153,175,178,183],[1,2,4,6,9,10,11,
12,15,16,25,26,29,49,51,72,73,74,75,76,77,78,79,81,82,85,122,144,152,153,155,
157,158,162,184],[1,2,4,5,9,10,11,12,13,14,25,27,28,49,50,72,73,74,75,76,77,
78,79,80,82,84,121,145,152,154,156,159,160,161,185],[1,2,3,4,8,9,10,11,12,21,
24,25,44,45,49,69,72,73,74,75,76,77,78,79,82,83,120,123,152,166,186],[1,2,4,5,
6,7,9,12,13,14,15,16,17,18,19,20,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,73,74,
82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,121,122,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,144,145,146,147,148,161,162,169,187],[1,2,
4,5,6,7,10,12,13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,75,76,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,146,147,148,158,160,164,169,188],[1,2,4,5,6,7,10,12,
13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,75,76,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,146,147,148,158,160,163,169,189],[1,2,4,5,6,7,11,12,13,14,15,16,17,18,
19,20,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,78,79,81,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,146,147,
148,155,159,169,190],[1,2,4,5,6,7,11,12,13,14,15,16,17,18,19,20,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,77,79,80,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,146,147,148,156,157,169,
191],[1,2,4,5,6,7,11,12,13,14,15,16,17,18,19,20,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,77,78,79,80,81,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,146,147,148,155,156,165,169,192],[1,2,
4,5,6,7,9,12,13,14,15,16,17,18,19,20,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
73,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,121,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,145,146,147,148,153,161,169,175,181,193],[1,2,
4,5,6,7,9,12,13,14,15,16,17,18,19,20,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
74,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,122,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,144,146,147,148,154,162,169,174,180,194],[1,2,
3,4,6,9,12,15,16,21,23,26,29,45,51,70,73,83,85,141,153,170,178,195],[1,2,3,4,
5,9,12,13,14,21,22,27,28,45,50,71,74,83,84,142,154,171,179,196],[1,2,4,5,6,7,
9,10,11,12,14,15,16,17,18,19,20,24,25,26,27,29,30,35,36,37,41,42,43,49,51,61,
62,63,64,65,72,73,74,75,76,77,78,79,81,82,85,89,116,120,121,122,124,144,152,
153,155,157,158,162,172,175,184,197],[1,2,4,5,6,7,9,10,11,12,13,14,16,17,18,
19,20,24,25,26,27,28,30,35,36,37,38,39,40,49,50,58,59,60,64,66,72,73,74,75,76,
77,78,79,80,82,84,90,115,120,121,122,125,145,152,154,156,159,160,161,173,174,
185,198],[1,2,3,4,5,6,7,8,9,12,14,15,16,17,18,19,20,21,23,25,26,27,29,30,35,
36,37,41,42,43,44,45,48,51,61,62,63,64,65,69,70,73,83,85,89,116,119,121,123,
124,141,151,153,170,175,177,178,183,195,199],[1,2,3,4,5,6,7,8,9,12,13,14,16,
17,18,19,20,21,22,25,26,27,28,30,35,36,37,38,39,40,44,45,47,50,58,59,60,64,66,
69,71,74,83,84,90,115,118,122,123,125,142,150,154,171,174,176,179,182,196,
200],[1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,121,122,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
144,145,146,147,148,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
169,174,175,180,181,184,185,187,188,189,190,191,192,193,194,201],[1,2,3,4,5,6,
7,8,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,70,77,79,80,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,119,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,141,146,147,148,151,156,157,166,
167,169,170,172,177,191,202],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,
21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,47,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,71,78,79,81,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,118,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,142,146,147,148,150,155,159,166,168,169,171,173,176,190,203],[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,141,144,145,146,147,148,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,169,170,172,174,175,177,178,
180,181,183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,201,202,
204],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,118,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,142,144,145,146,147,148,150,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,168,169,171,173,174,
175,176,179,180,181,182,184,185,186,187,188,189,190,191,192,193,194,196,198,
200,201,203,205],[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]],
0,[[1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,3,1,1],[1,1],[1,1],[1,
1],[1,7,7,1],[1,7,7,1],[1,7,1,6,1],[1,7,7,1],[1,7,1,6,1],[1,3,1,2,1],[1,3,1,2,
1],[1,3,1,2,1],[1,5,1,1,1,1],[1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,7,1,1],[1,1,1,
1],[1,15,7,28,1,14,1],[1,15,7,28,1,14,1],[1,15,3,32,6,9,1],[1,15,3,32,6,9,1],[
1,7,7,4,1,2,2,2,1],[1,3,1,6,1,2,1],[1,3,1,6,1,1,1,1],[1,3,1,6,2,1,1],[1,3,1,6,
2,1,1],[1,11,1,6,6,2,1,1,1,4,1],[1,11,1,6,6,2,1,1,1,4,1],[1,11,1,6,6,2,1,1,1,
4,1],[1,7,1,6,4,1,1,1,1],[1,7,1,6,4,1,1,1,1],[1,7,1,6,4,1,1,1,1],[1,7,1,6,4,1,
1,1,1],[1,7,1,6,4,1,1,1,1],[1,7,1,6,4,1,1,1,1],[1,9,1,3,1,1],[1,1,1,1],[1,7,1,
1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,3,1,1,3,1],[1,31,15,140,1,
56,98,3,28,1],[1,31,15,140,1,56,98,3,28,1],[1,7,7,12,1,6,6,6,3,4,1],[1,7,7,12,
1,6,6,6,3,4,1],[1,7,7,12,1,6,6,6,3,4,1],[1,7,7,12,1,6,6,6,3,4,1],[1,7,7,12,1,
6,6,6,3,1],[1,7,7,12,1,6,6,6,3,1],[1,15,7,28,8,1,14,4,4,4,1,2,4,1],[1,15,7,28,
8,1,14,4,4,4,1,2,4,1],[1,15,7,28,8,1,14,4,4,4,1,2,4,1],[1,15,7,28,8,1,14,4,4,
4,1,2,4,1],[1,15,7,28,8,1,14,4,4,4,1,2,4,1],[1,15,7,28,8,1,14,4,4,4,1,2,4,1],[
1,23,7,28,28,4,1,14,14,2,2,2,16,1,1,1,4,4,4,1],[1,19,3,6,32,6,1,6,9,1,1,1,12,
1,1,1,1,1,1,1,1],[1,19,3,32,6,6,6,9,1,1,1,1,12,1,1,1,1,1,1,1,1],[1,7,1,6,12,1,
2,2,2,1,1,1,1,1,1,1,1],[1,7,1,6,12,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,1,1,3,1,
1],[1,15,16,3,32,6,9,20,1,1],[1,15,16,3,32,6,9,20,1,1],[1,3,2,3,1],[1,7,7,8,1,
1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,
7,8,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,7,7,1,1,7,7,1],[1,1,1,1,1,1],[1,63,63,
588,9,504,882,63,588,63,1],[1,63,63,588,9,504,882,63,588,63,1],[1,7,7,28,1,14,
14,14,7,7,1],[1,7,7,28,1,14,14,14,7,7,1],[1,7,7,28,1,14,14,14,7,28,7,1],[1,31,
15,140,16,1,56,98,8,8,8,3,28,4,8,8,8,1,2,2,2,1],[1,31,15,140,16,1,56,98,8,8,8,
3,28,4,8,8,8,1,2,2,2,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,
1,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,
1,14,12,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,
4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,1,1,1,1,
1,1,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,23,7,
28,28,20,1,14,14,10,10,10,16,1,1,5,4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,28,20,
1,14,14,10,10,10,16,1,1,5,4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,28,20,1,14,14,
10,10,10,16,1,1,5,4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,28,20,1,14,14,10,10,10,
16,1,1,5,4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,28,20,1,14,14,10,10,10,16,1,1,5,
4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,28,20,1,14,14,10,10,10,16,1,1,5,4,4,4,4,8,
8,1,1,2,2,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[
1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,1,
14,12,12,12,1,6,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,
4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,8,1],[1,15,7,28,24,1,14,12,12,12,1,6,4,4,4,4,4,4,4,1,1,1,1,1,1,1,
8,1],[1,23,7,28,28,20,1,14,14,10,10,10,16,1,1,5,4,4,4,4,4,8,8,1,1,2,2,1,1],[1,
23,7,28,28,20,1,14,14,10,10,10,16,1,1,5,4,4,4,4,4,8,8,1,1,2,2,1,1],[1,23,7,28,
28,20,1,14,14,10,10,10,16,1,1,5,4,4,4,4,4,8,8,1,1,2,2,1,1],[1,7,7,28,1,14,14,
14,7,4,4,12,3,1,1,1,1,1],[1,7,7,28,1,14,14,14,7,12,4,4,1,3,1,1,1,1],[1,7,7,28,
1,14,14,14,7,4,12,4,1,1,3,1,1,1],[1,39,15,140,28,12,1,56,98,14,6,6,6,48,1,3,
28,3,12,12,12,4,4,4,1,1,1,1,3,8,1],[1,39,15,28,140,12,1,14,56,98,6,6,6,48,3,1,
28,3,12,12,12,4,4,4,1,1,1,1,3,8,1],[1,1],[1,27,16,3,32,18,18,16,6,9,3,3,3,3,
36,20,1,3,3,3,3,3,3,12,3,1,1],[1,27,16,3,18,32,18,16,3,6,9,3,3,3,36,20,1,3,3,
3,3,3,3,12,3,1,1],[1,7,3,2,3,1,7,1,1],[1,15,7,28,8,1,14,8,1,1,1],[1,15,7,28,8,
1,14,8,1,1,1],[1,9,1,3,1,1,9,1,1,3,1,1],[1,71,63,28,588,28,9,14,504,882,14,14,
14,112,63,1,588,7,28,28,28,28,28,28,63,7,7,7,7,56,1,7,7,1],[1,71,63,588,28,28,
9,504,882,14,14,14,14,112,1,63,588,7,28,28,28,28,28,28,63,7,7,7,7,56,1,7,7,
1],[1,23,7,28,28,52,1,14,14,26,26,26,16,1,1,13,12,12,12,12,4,4,4,8,8,8,8,8,8,
3,3,3,3,7,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,23,7,28,28,52,1,
14,14,26,26,26,16,1,1,13,12,12,12,12,4,4,4,8,8,8,8,8,8,3,3,3,3,3,7,2,2,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,39,15,28,140,44,1,14,56,98,22,22,22,
48,3,1,28,11,8,8,8,8,12,12,12,16,20,20,20,1,2,2,2,2,2,2,4,5,5,5,3,8,8,2,1,1,1,
2,2,1,1,1,2,1,1],[1,39,15,28,140,44,1,14,56,98,22,22,22,48,3,1,28,11,8,8,8,8,
12,12,12,16,20,20,20,1,2,2,2,2,2,2,4,5,5,5,3,8,8,2,1,1,1,2,2,1,1,1,2,1,1],[1,
39,15,28,140,44,1,14,56,98,22,22,22,48,3,1,28,11,8,8,8,8,12,12,12,16,20,20,20,
1,2,2,2,2,2,2,4,5,5,5,3,8,8,2,1,1,1,2,2,1,1,1,2,1,1],[1,39,15,140,28,44,1,56,
98,14,22,22,22,48,1,3,28,11,8,8,8,8,12,12,12,20,20,20,16,1,2,2,2,2,2,2,5,5,5,
4,3,8,8,2,1,1,1,2,2,1,1,1,2,1,1],[1,39,15,140,28,44,1,56,98,14,22,22,22,48,1,
3,28,11,8,8,8,8,12,12,12,20,20,20,16,1,2,2,2,2,2,2,5,5,5,4,3,8,8,2,1,1,1,2,2,
1,1,1,2,1,1],[1,39,15,140,28,44,1,56,98,14,22,22,22,48,1,3,28,11,8,8,8,8,12,
12,12,20,20,20,16,1,2,2,2,2,2,2,5,5,5,4,3,8,8,2,1,1,1,2,2,1,1,1,2,1,1],[1,23,
7,28,28,52,1,14,14,26,26,26,16,1,1,13,12,12,12,28,4,4,4,8,8,8,8,8,8,7,3,3,3,3,
3,2,2,2,2,2,2,1,8,8,1,1,1,1,1,1,1,1,1,1,1,3,1,1],[1,23,7,28,28,52,1,14,14,26,
26,26,16,1,1,13,28,12,12,12,4,4,4,8,8,8,8,8,8,3,3,7,3,3,3,2,2,2,2,2,2,1,8,8,1,
1,1,1,1,1,1,1,1,1,1,1,3,1],[1,23,7,28,28,52,1,14,14,26,26,26,16,1,1,13,12,12,
28,12,4,4,4,8,8,8,8,8,8,3,3,3,7,3,3,2,2,2,2,2,2,1,8,8,1,1,1,1,1,1,1,1,1,1,1,1,
3,1],[1,23,7,28,28,52,1,14,14,26,26,26,16,1,1,13,12,28,12,12,4,4,4,8,8,8,8,8,
8,3,7,3,3,3,3,2,2,2,2,2,2,1,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,55,23,140,
140,36,1,56,98,56,98,18,18,18,144,3,3,28,28,9,4,4,4,4,36,36,36,12,12,12,12,12,
12,1,1,1,1,1,1,1,1,3,3,3,3,3,3,9,24,24,1,1,1,1,1,1,1,1,1,3,3,1],[1,49,3,2,3,
14,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,63,64,63,588,9,504,882,336,63,
588,63,84,1,1],[1,63,64,63,588,9,504,882,336,63,588,63,84,1,1],[1,73,1,1],[1,
31,15,140,8,1,56,98,24,3,28,8,1,1,3,1],[1,31,15,140,8,1,56,98,24,3,28,8,1,1,3,
1],[1,87,71,588,140,84,9,504,882,56,98,42,42,42,336,3,63,588,28,21,28,28,28,
28,84,84,84,84,84,84,28,28,28,63,1,7,7,7,7,7,7,21,21,21,7,7,7,21,56,168,56,1,
21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,21,7,3,7,7,7,7,1],[1,87,71,140,588,84,9,56,
98,504,882,42,42,42,336,63,3,28,588,21,28,28,28,28,84,84,84,28,28,28,84,84,84,
1,63,7,7,7,7,7,7,7,7,7,21,21,21,21,168,56,56,1,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,21,3,7,7,7,7,1],[1,55,23,140,140,100,1,56,98,56,98,50,50,50,144,3,3,28,28,
25,52,52,52,52,36,36,36,44,44,44,44,44,44,1,1,13,13,13,13,13,13,11,11,11,11,
11,11,9,24,24,48,48,1,1,1,4,4,6,6,6,6,6,6,5,5,5,5,5,5,6,6,6,6,6,6,5,5,5,7,7,7,
3,3,3,3,2,2,2,2,2,2,3,3,3,3,1,1],[1,21,49,49,3,2,3,3,21,14,1,3,1,1],[1,87,64,
63,588,84,84,64,9,504,882,42,42,42,42,336,336,3,63,588,21,84,84,84,84,84,84,
112,63,21,21,21,21,168,84,1,21,21,28,3,1,1],[1,87,64,63,84,588,84,64,9,42,504,
882,42,42,42,336,336,63,3,588,21,84,84,84,84,84,84,112,63,21,21,21,21,168,84,
1,21,21,28,3,1,1],[1,7,7,17,16,24,1,7,7,8,1,1,1,1,1,1,1,1,1],[1,63,63,588,64,
9,504,882,63,588,63,72,1,1],[1,63,63,588,64,9,504,882,63,588,63,72,1,1],[1,63,
63,588,64,9,504,882,63,588,63,8,8,56,1,1],[1,63,63,588,64,9,504,882,63,588,63,
8,8,56,1,1],[1,63,63,588,64,9,504,882,63,588,63,16,1,1],[1,63,63,588,64,9,504,
882,63,588,63,8,8,1,1],[1,63,63,588,64,9,504,882,63,588,63,16,1,1],[1,63,63,
588,64,9,504,882,63,588,63,8,8,1,1],[1,63,63,588,8,9,504,882,56,63,588,56,63,
1,8,1,7,7,1],[1,63,63,588,8,9,504,882,56,63,588,56,63,1,8,1,7,7,1],[1,7,7,28,
64,1,14,14,14,7,7,8,1,1],[1,7,7,28,64,1,14,14,14,7,7,8,1,1],[1,7,7,28,64,1,14,
14,14,7,28,7,8,1,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,63,28,63,84,36,9,28,
36,28,9,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,119,119,588,588,196,17,504,
882,504,882,98,98,98,784,63,63,588,588,49,196,196,196,196,196,196,196,196,196,
196,196,196,196,63,63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,392,392,392,
1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,1],[1,63,
64,63,588,9,504,882,64,336,63,588,63,84,1,1,1],[1,63,64,63,588,9,504,882,64,
336,63,588,63,84,1,1,1],[1,119,63,196,588,196,64,9,98,504,882,98,98,98,784,64,
63,7,588,49,196,196,196,196,196,196,63,49,49,49,49,392,16,1,49,49,7,1,1],[1,
119,63,588,196,196,64,9,504,882,98,98,98,98,784,64,7,63,588,49,196,196,196,
196,196,196,63,49,49,49,49,392,16,1,49,49,7,1,1],[1,71,63,588,28,28,64,9,504,
882,14,14,14,14,112,64,1,63,588,7,28,28,28,28,28,28,63,7,7,7,7,56,72,1,7,7,8,
1,1,1],[1,71,63,28,588,28,64,9,14,504,882,14,14,14,112,64,63,1,588,7,28,28,28,
28,28,28,63,7,7,7,7,56,72,1,7,7,8,1,1,1],[1,135,64,63,588,252,252,192,9,504,
882,126,126,126,126,1008,64,336,9,63,588,63,252,252,252,252,252,252,64,336,63,
63,63,63,63,504,84,1,63,63,84,9,1,3,1,1],[1,135,64,63,252,588,252,192,9,126,
504,882,126,126,126,1008,64,336,63,9,588,63,252,252,252,252,252,252,64,336,63,
63,63,63,63,504,84,1,63,63,84,9,1,3,1,1],[1,63,64,63,588,64,9,504,882,336,63,
588,64,63,84,72,1,1,1,1],[1,63,64,63,588,64,9,504,882,336,63,588,64,63,84,72,
1,1,1,1],[1,87,71,588,140,84,64,9,504,882,56,98,42,42,42,336,192,3,63,588,28,
21,28,28,28,28,84,84,84,84,84,84,28,28,28,64,63,1,7,7,7,7,7,7,21,21,21,7,7,7,
21,56,168,56,72,1,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,21,7,24,3,7,7,7,7,8,1,1,3,
1],[1,87,71,140,588,84,64,9,56,98,504,882,42,42,42,336,192,63,3,28,588,21,28,
28,28,28,84,84,84,28,28,28,84,84,84,64,1,63,7,7,7,7,7,7,7,7,7,21,21,21,21,168,
56,56,72,1,21,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,21,24,3,7,7,7,7,8,1,1,3,1],[1,
87,64,63,588,84,84,64,64,9,504,882,42,42,42,42,336,336,192,3,63,588,21,84,84,
84,84,84,84,64,112,63,21,21,21,21,168,64,84,72,1,21,21,28,24,3,1,1,1,3,1,1],[
1,87,64,63,84,588,84,64,64,9,42,504,882,42,42,42,336,336,192,63,3,588,21,84,
84,84,84,84,84,64,112,63,21,21,21,21,168,64,84,72,1,21,21,28,24,3,1,1,1,3,1,
1],[1,63,63,588,80,128,192,9,504,882,112,63,588,112,63,64,72,2,16,16,16,16,16,
112,16,1,14,14,16,1,2,1,2,2,1],[1,63,63,588,80,128,192,9,504,882,112,63,588,
112,63,64,2,72,16,16,16,16,16,112,16,1,14,14,16,1,2,1,2,2,1],[1,63,28,63,84,
73,72,108,9,28,36,63,28,28,63,84,36,9,9,9,9,9,9,9,9,28,36,28,9,1,1],[1,119,
119,588,588,196,64,17,504,882,504,882,98,98,98,784,448,63,63,588,588,49,196,
196,196,196,196,196,196,196,196,196,196,196,196,448,63,63,49,49,49,49,49,49,
49,49,49,49,49,49,49,392,392,392,392,8,8,64,1,1,7,7,7,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,56,56,7,7,49,49,
49,49,49,49,49,49,49,49,49,49,49,56,56,7,7,49,8,8,1,1],[1,119,119,588,588,196,
512,17,504,882,504,882,98,98,98,784,63,63,588,588,49,196,196,196,196,196,196,
196,196,196,196,196,196,196,63,63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,
392,392,392,128,64,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,
49,7,7,49,8,8,56,1,1],[1,119,119,588,588,196,512,17,504,882,504,882,98,98,98,
784,63,63,588,588,49,196,196,196,196,196,196,196,196,196,196,196,196,196,63,
63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,392,392,392,64,128,1,1,7,7,7,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,56,1,1],[1,119,119,
588,588,196,512,17,504,882,504,882,98,98,98,784,63,63,588,588,49,196,196,196,
196,196,196,196,196,196,196,196,196,196,63,63,49,49,49,49,49,49,49,49,49,49,
49,49,49,392,392,392,392,128,64,448,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,
49,49,49,49,49,49,49,7,7,49,8,8,1,1],[1,119,119,588,588,196,512,17,504,882,
504,882,98,98,98,784,63,63,588,588,49,196,196,196,196,196,196,196,196,196,196,
196,196,196,63,63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,392,392,392,128,
64,448,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,
1,1],[1,119,119,588,588,196,512,17,504,882,504,882,98,98,98,784,63,63,588,588,
49,196,196,196,196,196,196,196,196,196,196,196,196,196,63,63,49,49,49,49,49,
49,49,49,49,49,49,49,49,392,392,392,392,64,64,64,448,448,1,1,7,7,7,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,7,
7,49,49,49,49,49,49,49,49,49,49,49,49,49,7,7,49,8,8,56,1,1],[1,119,119,588,
588,196,64,17,504,882,504,882,98,98,98,784,448,63,63,588,588,49,196,196,196,
196,196,196,196,196,196,196,196,196,196,448,63,63,49,49,49,49,49,49,49,49,49,
49,49,49,49,392,392,392,392,72,64,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,56,7,7,49,49,49,49,49,49,
49,49,49,49,49,49,49,56,7,7,49,1,8,1,7,7,1],[1,119,119,588,588,196,64,17,504,
882,504,882,98,98,98,784,448,63,63,588,588,49,196,196,196,196,196,196,196,196,
196,196,196,196,196,448,63,63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,392,
392,392,72,64,1,1,7,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,56,7,7,49,49,49,49,49,49,49,49,49,49,49,49,49,
56,7,7,49,1,8,1,7,7,1],[1,63,64,63,588,64,9,504,882,64,336,63,588,64,63,84,72,
64,1,1,1,1,1,1],[1,63,64,63,588,64,9,504,882,64,336,63,588,64,63,84,72,64,1,1,
1,1,1,1],[1,119,63,196,588,196,80,128,192,9,98,504,882,98,98,98,784,64,560,63,
7,588,49,196,196,196,196,196,196,112,63,49,49,49,49,392,64,72,2,16,16,16,16,
16,112,16,1,49,49,64,56,14,7,14,16,1,2,1,2,2,1,7,1,1],[1,119,63,588,196,196,
80,128,192,9,504,882,98,98,98,98,784,64,560,7,63,588,49,196,196,196,196,196,
196,112,63,49,49,49,49,392,64,2,72,16,16,16,16,16,112,16,1,49,49,64,14,56,7,
14,16,1,2,1,2,2,1,7,1,1],[1,135,64,63,252,588,252,192,64,9,126,504,882,126,
126,126,1008,64,336,576,63,9,588,63,252,252,252,252,252,252,64,64,336,63,63,
63,63,63,504,192,84,72,64,1,63,63,84,72,64,9,1,3,1,1,9,1,1,3,1,1],[1,135,64,
63,588,252,252,192,64,9,504,882,126,126,126,126,1008,64,336,576,9,63,588,63,
252,252,252,252,252,252,64,64,336,63,63,63,63,63,504,192,84,72,64,1,63,63,84,
72,64,9,1,3,1,1,9,1,1,3,1,1],[1,119,119,588,588,196,192,1024,1536,17,504,882,
504,882,98,98,98,784,1344,63,63,588,588,49,196,196,196,196,196,196,196,196,
196,196,196,196,196,1344,63,63,49,49,49,49,49,49,49,49,49,49,49,49,49,392,392,
392,392,512,80,80,192,192,192,192,192,896,896,192,1,1,7,7,7,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,112,112,7,7,
49,49,49,49,49,49,49,49,49,49,49,49,49,112,112,7,7,49,192,1,1,16,16,8,16,8,16,
16,16,56,56,56,1,7,7,7,7,8,8,1,1,1,1,1,1,1,1,1],[1,567,1792,567,5292,588,1764,
5376,2304,81,4536,7938,504,882,882,882,882,7056,1792,9408,2304,63,567,5292,
588,441,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1792,
9408,567,63,441,441,441,441,441,441,441,441,441,441,441,441,441,3528,3528,
3528,3528,2352,576,576,4032,9,1,63,63,63,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,
2352,63,63,441,441,441,441,441,441,441,441,441,441,441,441,441,28,63,63,441,
84,72,36,64,448,9,28,36,28,9,1],[1,567,1792,567,588,5292,1764,5376,2304,81,
504,882,4536,7938,882,882,882,7056,1792,9408,2304,567,63,588,5292,441,1764,
1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1792,9408,63,567,
441,441,441,441,441,441,441,441,441,441,441,441,441,3528,3528,3528,3528,2352,
576,576,4032,1,9,63,63,63,441,441,441,441,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,2352,63,63,441,
441,441,441,441,441,441,441,441,441,441,441,441,28,63,63,441,84,72,36,64,448,
9,28,36,28,9,1],[1,567,1792,567,5292,588,1764,5376,640,4608,6912,81,4536,7938,
504,882,882,882,882,7056,1792,9408,2304,8064,63,567,5292,588,441,1764,1764,
1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1792,1792,9408,8064,
567,63,441,441,441,441,441,441,441,441,441,441,441,441,441,3528,3528,3528,
3528,5376,2352,2304,144,648,1152,1152,1152,1152,1152,8064,4032,1152,1792,9,1,
63,63,63,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,441,441,441,2352,2304,1008,504,1792,63,63,441,
441,441,441,441,441,441,441,441,441,441,441,441,28,504,1008,63,63,441,84,1152,
1,9,72,144,36,72,72,144,144,72,504,504,504,64,448,9,28,36,63,63,28,28,63,63,
84,36,72,64,9,9,9,9,9,9,9,9,28,36,28,9,1,1],[1,567,1792,567,588,5292,1764,
5376,640,4608,6912,81,504,882,4536,7938,882,882,882,7056,1792,9408,2304,8064,
567,63,588,5292,441,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,1764,
1764,1764,1792,1792,9408,8064,63,567,441,441,441,441,441,441,441,441,441,441,
441,441,441,3528,3528,3528,3528,5376,2352,2304,648,144,1152,1152,1152,1152,
1152,4032,8064,1152,1792,1,9,63,63,63,441,441,441,441,441,441,441,441,441,441,
441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,441,2352,
2304,504,1008,1792,63,63,441,441,441,441,441,441,441,441,441,441,441,441,441,
28,1008,504,63,63,441,84,1152,9,1,144,72,72,144,36,72,72,144,504,504,504,64,
448,9,28,36,63,63,28,28,63,63,84,72,36,64,9,9,9,9,9,9,9,9,28,36,28,9,1,1],[1,
4599,130816,4599,42924,42924,128772,392448,4672,112128,168192,657,36792,64386,
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6132,2628,2628,4672,657,657,657,657,657,657,657,657,2044,2044,2628,2628,2044,
2044,657,73,73,73,73,1]],
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16,16,16,16,16,16,16,16,16,16,16,18,21,21,24,24,28,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,42,48,48,49,56,56,56,56,56,56,56,56,56,56,63,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,73,96,96,98,112,112,126,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,147,168,192,192,219,224,224,256,256,256,294,384,384,
392,448,448,448,448,448,448,448,448,448,448,448,448,448,504,504,504,512,576,
576,896,896,896,896,1152,1152,1344,1344,1792,1792,2688,2688,3136,3136,3528,
3584,3584,3584,3584,3584,3584,3584,3584,4032,4032,6272,6272,8064,8064,25088,
32256,32256,225792,225792,16482816],
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133,130,128,129,123,123,46,47,48,82,193,194,169,169,169,169,169,169,169,169,
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185,197,184,198,185,185,184,163,164,165,186,167,168,201,199,200,197,198,194,
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2,2,2,2,2,21,1,10,22,23,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,3,29,28,1,12,
12,12,12,12,12,12,13,15,1,1,1,1,12,12,1,4,4,4,4,4,4,4,4,12,12,12,12,12,12,12,
12,12,12,4,4,4,4,4,4,4,4,4,4,1,71,70,11,12,12,21,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,72,140,85,84,117,12,12,12,12,12,139,142,141,12,85,84,85,84,
85,85,84,84,12,12,86,87,88,166,167,168,12,85,84,157,159,84,85,171,170,85,84,
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169,202,203,202,203,206],
[( 1, 6,15)( 2,35,45)( 3,26,23)( 4,18,53)( 5,44,61)( 7,10,70)( 8,37,59)
( 9,62,48)(11,12,40)(13,72,34)(14,60,73)(16,42,30)(17,49,39)(19,51,43)
(20,65,66)(21,38,67)(22,50,41)(24,55,69)(25,52,46)(27,29,57)(28,56,32)
(31,63,54)(33,71,36)(47,68,64),( 5,55,19,34,39,43,64)( 6,40,37, 7,33,62,24)
( 8,35,69,15,70,36,12)(10,54,47,46,67,18,22)(11,38,32,13,65,61,25)
(14,59,58,72,53,41,30)(16,73,57,52,51,21,27)(17,20,63,71,23,31,60)
(26,56,48,28,29,49,50)],
[[[[]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-1,2,-1],[1,1,2,-1,1,1,2,1,1,-1,4,-1]]],[[[
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1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[4,1,5,-1,6,-1,5,1,6,1,4,
1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1,5,1,
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1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,5,1,3,1,4,-1,3,-2,5,
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-1,4,-3,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,
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3]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,3,1,4,-2,5,-1,4,1,
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1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,2,3,1,4,1]]],[[[1,1,2,
1],[3,1,2,1,1,1,3,-1,2,-1],[1,1,2,-1,1,1,2,1,1,-1,4,4]],[[1,1,2,1],[3,1,2,1,1,
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2,1,1,-1,2,1,1,1,2,2,4,1],[3,2],[6,1,5,3,6,-1,5,-1]]],[[[2,3,1,1],[1,-1,2,-1,
1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,-1,3,2,4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[3,2],[5,1,4,3,5,-1,4,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,
-1,2,-2],[3,2],[5,2,4,-1,5,-1,4,-1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,1,
-1,2,-3],[4,2,3,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,
1,3,-1,4,-1,5,1,3,1,4,-1,3,-2,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,2],[5,1,4,3,5,-1,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,
2],[3,1,4,-1],[6,1,5,1,3,1,4,1,5,1,6,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,
2,-2],[3,2],[3,1,4,1],[4,1,5,-1,6,-1,5,1,6,1,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[4,1,3,-1,4,2,3,2,4,-1,3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[3,1,4,1],[3,2,4,1,3,1],[5,1,6,1,5,-1,6,-1]],[[2,3,1,1],[1,-1,2,
-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,-1],[3,1,4,1,5,1,6,2,5,1]],[[2,3,1,1],[1,
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1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,-1],[5,1,6,2,5,1,3,1,4,1]],[[
2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,5,1,3,1,4,-1,3,-2,
5,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,3,-2,5,
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3,-1,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,2,3,-2,4,
2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,3,-1,5,-1,4,1,3,1,4,
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1,5,1,6,2,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,3,1,
4,1,5,2,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,3,4,1,3,
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1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,2,3,-1,4,1,3,-1,4,-1,3,2]],[[
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1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,-1,5,-1,4,1,3,1,4,
-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[6,1,4,1,5,1,
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1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,2,3,2,4,-1,3,-1,4,1,3,
-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,5,1,4,1,5,1,
3,1,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,3,3,1,4,1]],[[
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1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,5,-1,4,-3,5,1]],[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,3,-1,4,-1,5,-1]]],[[[2,3,1,1],[3,
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-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[4,1,6,1,5,-1,4,1,5,1,6,-1]],[[2,3,1,
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1,4,1,5,-1,4,-1,3,-1,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,
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-1,3,2,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-2,5,
-2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,2,5,
1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-2,5,-2]]],[[[2,3,
1,1],[3,2],[3,1,1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,5,1,4,-1,5,-1]],[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,-1,3,-2,4,1]]],[[[2,3,1,1],[1,-1,2,
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2,-2],[3,2,2,3,1,1,3,-2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[
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3,-3]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,1,4,1,3,1,
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4,-1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,2,5,1,4,-1,3,-1,
5,-1,4,-1]]],[[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[1,-1,2,-3,3,-2]]],[[[2,3,1,1],[
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-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,5,-1,4,-3,5,1]],[[2,
3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[4,2,5,-1,6,-1,5,1,6,
1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[5,1,6,1,5,-1,4,
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4,-1,5,1,3,1,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,3,5,1,
4,-1,5,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[3,2,4,1,3,
1],[5,1,6,1,5,-1,6,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,
4,-1],[3,1,4,1,5,1,6,2,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[
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-2],[3,1,4,1],[3,1,4,-1,3,-2,5,-1,4,1,3,1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
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-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,1,4,2,3,1,5,-1,4,1,3,-1]],[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,2,3,-1,4,3,3,1]],[[2,3,1,1],[1,-1,2,-1,1,
1,2,-1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,3,-2,4,1,5,1]]],[[[2,3,1,1],[1,-1,2,-1,1,
1,2,-1,1,-1,2,-2],[3,2],[4,1,5,1,3,1,4,1,5,1,4,-1,5,1]],[[2,3,1,1],[1,-1,2,-1,
1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,3,-2,4,1,5,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1,5,2,3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,2],[5,2,4,1,5,1,4,-1,3,1,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[4,1,3,-1,4,3,3,1,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,2],[3,1,4,1,5,1,4,-1,5,1,4,1,5,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,
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1,-1,2,-2],[3,1,4,1],[5,1,4,1,3,-2,5,1,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,
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-1,2,-2],[3,2],[3,1,4,1],[5,1,6,1,4,2,5,-1,6,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
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2,-2],[3,1,4,1],[5,1,4,1,5,1,4,2,3,-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[4,2,3,-1,4,3,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[
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4,1],[5,1,4,2,3,1,5,-1,4,1,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[
4,2,3,-1,4,3,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,2,4,-1,3,
-1,4,1,3,-1,4,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,1,3,
2,4,-3,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,3,
1,5,-2,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,5,-1,4,-3,
5,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,2,4,1,5,1,4,-1,3,1,
4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,1,4,-1,5,1,4,
1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,3,-2,5,1,
4,2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,5,1,3,1,4,1,5,1,
4,-1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,3,-2,4,1,
5,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,2,3,-1,4,1,3,-1,4,-1,3,
2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,3,-1,4,-1,5,1,3,1,
4,-1,5,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,-2]],[[
2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,3,3,1,4,2,3,-2]]],[[[2,3,1,1],[
1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,4,2,3,-1]],[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,-2]],[[2,3,1,1],[1,-1,2,-1,
1,1,2,-1,1,-1,2,-2],[3,1,4,3,3,1,4,2,3,-2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[3,2],[5,1,4,1,3,1,4,1,5,-1,4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
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-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,3,1,4,1,5,1,4,-1,
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1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,3,1,5,-2,4,-1]],[[2,3,
1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,-1],[6,1,5,1,3,1,4,1,5,1,6,
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5,1,4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,-2,3,-1,4,-3,
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1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,3,-1,5,-1,4,1,3,1,4,-1,5,1]],[[
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1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,
4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,-2]],[[
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5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,-1,3,2,4,2,3,
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3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,3,-1,4,-1,5,-1]]],[[[
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1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,-1,5,-1,4,1,3,1,4,-1]],[[2,
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1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,5,1,4,1,5,1,3,1,4,1]],[[2,3,1,1],[1,-1,2,
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1,-1,2,-2],[3,2],[5,2,4,1,5,1,4,-1,3,1,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,
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-2],[3,1,4,3,3,1,4,2,3,-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[
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21]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,3,1,4,1,5,1,4,1,3,
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-1,1,1,2,-1,1,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,3,1,
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1,4,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[6,1,5,2,
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-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,
4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,-2]],[[
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-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,3,3,1,4,2,3,-2]],[[2,3,
1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,3,1,4,1,5,2,4,1]]],[[[2,3,
1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,4,2,3,-1]],[[
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-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,-1,5,-1,4,1,3,1,4,-1]],[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,-2,3,-1,4,-3,3,-1]],[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,3,1,4,1,5,2,4,1]]],[[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,4,2,3,-1]],[[2,3,1,1],[
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2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[5,1,6,1,4,2,5,-1,6,-1]],[[2,3,1,1],[1,-1,2,
-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,-1,5,-1,4,1,3,1,4,-1]],[[2,3,1,1],[1,
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-1]],[[1,1,2,1],[3,1,2,1,1,1,3,-1,2,-1]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,
-1,2,1,1,1,2,2,4,1],[3,2],[3,1,5,1],[6,1,7,-1,5,-1,7,1,6,-1,5,-1]],[[1,1,2,-3,
1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[3,1,5,1],[6,1,5,1,3,-2,5,1,6,
1]],[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[3,2],[5,1,6,-1,5,
-3,6,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1],[5,1,6,
-1,4,-1,6,1,5,-1,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[
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-1,4,-3,5,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-2,3,2,4,
2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1,3,-1,4,-2]]],[[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,1,3,2,4,1]],[[2,3,1,1],[1,-1,2,-1,1,
1,2,-1,1,-1,2,-2],[4,1,3,2,4,1,3,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,1,4,1,3,2,4,1,3,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[
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2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,2,4,1,3,-1,4,-1]]],[[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,1,4,-1,5,-1]],[[2,3,1,1],[
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1,4,1,5,-1,4,2,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,2,3,
1]],[[2,3,1,1],[3,2],[3,1,2,2,1,1,2,1,1,-1,2,1,1,1],[5,1,4,2,5,-1]]],[[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,-1,3,2,4,-1,3,-1,4,-1]],[[2,3,1,
1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,1,3,1,4,2]]],[[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,-1,3,-1,4,-1,5,1,4,-1,5,1]],[[2,3,1,1],[
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-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,3,-2,4,-1,5,-1]],[[2,3,1,1],[1,
-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,3,2,5,1,4,1]]],[[[2,3,1,1],[1,
-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,3,4,2,3,-1,4,-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[4,1,3,-1,4,3,3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,2],[3,1,4,1],[6,1,5,2,4,1,6,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[4,1,3,2,4,1,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,1,3,
1,4,1,3,1,4,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,3,1,4,
2,5,1,4,-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-1,3,2,4,1,3,1,
4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,2,3,-1,4,-2]]],[[[2,3,
1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,5,1,4,1,3,-1]],[[2,3,1,1],[
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2,-1,1,-1,2,-2],[3,2],[5,1,3,1,4,1,5,1,4,1,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[3,3,4,-1,3,1,4,2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[4,1,3,-1,4,1,3,-3,4,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,
3,-1,4,-1,3,2,4,2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,
-1,5,1,3,1,4,-1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,1,4,-1,
3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,1,3,-1,4,-1,3,
-1]],[[2,3,1,1],[3,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,-2,3,1]]],[[[1,1,2,-3,1,1],[1,
-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[3,2,5,1,3,-1,5,-1,3,-1]],[[1,1,2,-3,1,1],[
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1,1,2,-1,1,-1,2,-2],[3,2],[3,1,4,1,5,-1,4,-1,5,1,4,2,3,-1]],[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-3,3,-1,4,-2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[3,2],[3,1,4,1],[5,1,6,1,4,2,5,-1,6,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,2],[5,1,4,1,3,-1,5,-1,4,1,3,1,4,-1]],[[2,3,1,1],[1,-1,2,-1,
1,1,2,-1,1,-1,2,-2],[3,2,4,-2,3,-1,4,-3,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[3,2],[5,1,4,-1,3,1,4,1,5,2,4,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[3,2],[5,1,4,-1,5,1,3,1,4,-1,5,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[3,2],[5,1,4,2,5,-1,4,-1]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,
2,1,1,1,2,2,4,1],[3,2],[6,1,5,-1,6,1,3,1,5,-1,6,1]],[[1,1,2,-3,1,1],[1,-1],[4,
1,2,1,1,-1,2,1,1,1,2,2,4,1],[3,2],[6,1,5,2,6,-1,5,-1]]],[[[2,3,1,1],[1,-1,2,
-1,1,1,2,-1,1,-1,2,-2],[4,1,3,1,4,1,3,-2,4,2,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,2],[4,2,5,-1,4,1,5,1]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,
-1,2,1,1,1,2,2,4,1],[5,1,3,1,5,1,3,-2,5,2,3,1]],[[1,1,2,-3,1,1],[1,-1],[4,1,2,
1,1,-1,2,1,1,1,2,2,4,1],[3,2],[5,2,6,-1,5,1,6,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,2],[5,1,4,1,5,1,4,1,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,
-1,2,-2],[3,2],[4,-1,3,1,4,2]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,
1,4,1,3,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,2,3,1,1],[3,1,4,
-2]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,1,5,1,3,
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5,2,6,-1,5,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,1,4,1,3,-2,
4,2,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,2,5,-1,4,
-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,1,4,1,3,-2,4,-1]],[[2,
3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,4,1,3,2,4,1]]],[[[1,1,2,-3,1,1],[1,
-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,1,5,1,3,-2,5,-1]],[[1,1,2,-3,1,1],[
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-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,5,1,4,1,3,1]],[[1,-1,2,-1,1,1,2,-1,1,-1,
2,-2],[3,1,1,-1,2,-3,3,3]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,1,-1,2,-3],[4,
2,3,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,2,4,-1,3,1,4,
2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,2],[6,1,5,-1,6,-1,5,
-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,2,4,1,3,2]]],[[[1,1,2,
-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,1,5,1,3,-2,5,-1]],[[1,
-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1],[1,1,2,-3,1,1,4,3]]],[[[2,3,1,1],[1,-1,2,
-1,1,1,2,-1,1,-1,2,-2],[4,1,3,1,4,1,3,-2,4,-1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[2,3,1,1,3,3]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,3,
3,1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2,2,3,1,1,3,-2]]],[[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,-1,3,1,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,
1,-1,2,-2],[4,1,3,2,4,1,3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,
-1,4,2,3,2]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,1,1,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,2,4,-1,3,1,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,1,4,-1,3,-2,4,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,3,4,
-1,3,1,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,3,4,2]],[[2,3,1,
1],[3,2],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2,4,1],[4,1,5,2]]],[[[2,3,1,1],[1,-1,2,
-1,1,1,2,-1,1,-1,2,-2],[3,1,4,1,3,2,4,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,
2,-2],[4,1,3,2,4,1,3,1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-1,
3,1,4,2]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,2,5,
1,3,-2]],[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,-1,5,-1,
3,1,5,1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,2,4,1,3,-2]],[[2,
3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,-1,3,1,4,1]]],[[[2,3,1,1],[
1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,1,3,-3,4,-1]],[[2,3,1,1],[1,-1,2,-1,
1,1,2,-1,1,-1,2,-2],[4,1,3,-1,4,-1,3,2,4,2]],[[1,-1,2,-3]]],[[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-2,3,-3,4,-1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,
-2],[3,1,2,3,1,1],[4,2,3,-1]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[4,2,
3,-1,4,-2,3,-1]]],[[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[5,1,4,1,5,
1,4,1,3,1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,1,-1,2,-3,3,3]],[[2,3,1,1],[
1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,2],[4,1,5,1,4,1,3,1,5,1]]],[[[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[2,3,1,1,3,1],[3,1,4,2]],[[2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,
2,-2],[4,1,3,3,4,1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1],[1,1,2,-3,1,1,4,
1],[4,1,5,2]],[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[5,1,3,3,
5,1]]],[[[2,3,1,1],[3,-1,1,-1,2,-1,1,1,2,-1,1,-1,2,-2,3,3]],[[1,-1,2,-1,1,1,2,
-1,1,-1,2,-2],[3,1,2,3,1,1,3,2]]],[[[1,1,2,-3,1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,
1,2,2,4,1],[3,-1,5,1,3,3]],[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1],[4,1,1,1,2,
-3,1,1,4,2]]],[[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[2,3,1,1,3,3]],[[1,-1,2,-1,1,1,
2,-1,1,-1,2,-2],[3,3,2,3,1,1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1],[1,1,
2,-3,1,1,4,3]],[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1],[4,3,1,1,2,-3,1,1]]],[[[
2,3,1,1],[1,-1,2,-1,1,1,2,-1,1,-1,2,-2],[3,1,4,-1,3,1,4,2]],[[2,3,1,1],[1,-1,
2,-1,1,1,2,-1,1,-1,2,-2],[4,1,3,2,4,1]],[[1,-1,2,-3]]],[[[2,3,1,1],[3,1,1,-1,
2,-1,1,1,2,-1,1,-1,2,-2,3,-1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2]]],[[[1,1,2,-3,
1,1],[1,-1],[4,1,2,1,1,-1,2,1,1,1,2,2,4,1],[3,1,5,1,3,-1]],[[1,-1],[3,1,2,1,1,
-1,2,1,1,1,2,2,3,1]]],[[[2,3,1,1]],[[1,-1,2,-1,1,1,2,-1,1,-1,2,-2]]],[[[1,1,2,
-3,1,1]],[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,2,3,1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "L3(11)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,6],[1,7],[1,2,3,8],[1,2,3,9],[1,10],[1,2,
5,11],[1,2,5,12],[1,2,4,5,13],[1,2,6,14],[1,2,7,15],[1,2,7,16],[1,2,6,17],[1,
2,7,18],[1,19],[1,20],[1,2,3,5,8,21],[1,2,3,5,8,22],[1,2,3,4,8,9,23],[1,2,3,4,
24],[1,3,6,25],[1,2,4,5,11,12,13,26],[1,27],[1,2,5,6,14,28],[1,2,4,6,14,17,
29],[1,2,4,7,15,16,30],[1,2,5,7,15,31],[1,2,4,7,15,18,32],[1,3,10,33],[1,2,19,
34],[1,2,19,35],[1,2,20,36],[1,2,19,37],[1,2,3,5,8,11,21,22,38],[1,2,3,4,5,8,
9,13,21,23,39],[1,2,3,5,8,11,40],[1,2,3,5,8,12,21,41],[1,2,3,4,5,9,13,24,42],[
1,6,7,43],[1,2,3,6,8,14,25,44],[1,2,3,6,9,17,25,45],[1,2,5,6,11,14,28,46],[1,
2,5,6,12,14,28,47],[1,2,4,5,7,13,15,16,18,30,31,32,48],[1,2,4,5,6,13,14,17,28,
29,49],[1,2,4,19,34,35,37,50],[1,2,3,4,5,8,9,11,12,13,23,26,40,51],[1,2,3,4,5,
8,9,11,12,13,21,22,23,26,38,39,41,52],[1,2,6,7,14,15,16,17,43,53],[1,2,6,7,17,
18,43,54],[1,6,19,55],[1,6,19,56],[1,7,19,57],[1,7,19,58],[1,7,19,59],[1,7,20,
60],[1,6,19,61],[1,3,27,62],[1,2,3,5,6,8,14,21,25,28,44,63],[1,2,3,5,6,8,14,
22,25,28,44,64],[1,2,3,4,6,8,9,14,17,23,25,29,44,45,65],[1,2,3,4,7,9,18,24,
66],[1,3,6,7,43,67],[1,2,4,5,6,11,12,13,14,17,26,28,29,46,47,49,68],[1,2,4,6,
7,14,15,16,17,29,30,43,53,69],[1,2,4,6,7,14,15,16,17,18,29,32,43,53,54,70],[1,
2,5,6,7,14,15,16,17,28,31,43,53,71],[1,2,6,14,19,35,56,72],[1,2,6,14,19,34,55,
73],[1,2,7,16,19,34,57,74],[1,2,7,16,19,34,58,75],[1,2,7,15,19,34,59,76],[1,2,
7,16,19,35,57,77],[1,2,7,16,19,35,59,78],[1,2,7,15,19,35,58,79],[1,2,6,17,19,
35,55,80],[1,2,6,17,19,34,56,81],[1,2,7,15,20,36,60,82],[1,2,6,17,19,37,55,
83],[1,2,7,16,19,37,58,84],[1,2,7,16,19,37,59,85],[1,2,7,15,19,37,57,86],[1,2,
6,17,19,37,56,87],[1,2,6,17,19,34,61,88],[1,2,6,17,19,35,61,89],[1,2,6,14,19,
37,61,90],[1,2,3,5,7,8,11,15,22,31,40,91],[1,2,3,4,5,6,8,9,13,14,17,21,23,25,
28,29,39,44,45,49,63,65,92],[1,2,3,5,6,8,11,14,21,22,25,28,38,44,46,63,64,
93],[1,2,3,5,6,8,11,14,25,28,40,44,46,94],[1,2,3,5,6,8,12,14,21,25,28,41,44,
47,63,95],[1,19,96],[1,19,97],[1,19,20,98],[1,10,27,99],[1,2,3,6,7,9,17,18,43,
54,67,100],[1,2,3,4,5,9,10,13,24,33,42,101],[1,2,4,5,6,7,13,14,15,16,17,18,28,
29,30,31,32,43,48,49,53,54,69,70,71,102],[1,2,4,6,14,17,19,29,34,35,37,50,56,
72,81,87,103],[1,2,4,7,15,16,19,30,34,35,37,50,58,75,79,84,104],[1,2,4,7,15,
16,19,30,34,35,37,50,59,76,78,85,105],[1,2,4,7,15,16,19,30,34,35,37,50,57,74,
77,86,106],[1,2,4,6,14,17,19,29,34,35,37,50,55,73,80,83,107],[1,2,4,6,14,17,
19,29,34,35,37,50,61,88,89,90,108],[1,2,3,4,5,6,8,9,11,12,13,14,17,21,22,23,
25,26,28,29,38,39,41,44,45,46,47,49,52,63,64,65,68,92,93,95,109],[1,2,3,4,5,6,
8,9,11,12,13,14,17,23,25,26,28,29,40,44,45,46,47,49,51,65,68,94,110],[1,2,19,
34,96,111],[1,2,19,35,97,112],[1,2,19,35,37,96,113],[1,2,19,34,37,97,114],[1,
2,19,20,36,37,98,115],[1,6,7,19,43,55,56,57,58,59,61,116],[1,2,3,4,6,7,14,15,
16,17,24,29,30,43,53,67,69,117],[1,3,19,97,118],[1,3,19,96,119],[1,3,10,27,33,
62,99,120],[1,2,5,19,35,97,112,121],[1,2,5,19,34,96,111,122],[1,2,4,19,34,35,
37,50,96,111,113,123],[1,2,4,19,34,35,37,50,97,112,114,124],[1,2,6,7,14,15,16,
17,19,34,43,53,55,56,57,58,59,61,73,74,75,76,81,88,116,125],[1,2,6,7,14,15,16,
17,19,35,43,53,55,56,57,58,59,61,72,77,78,79,80,89,116,126],[1,2,6,7,14,15,16,
17,19,37,43,53,55,56,57,58,59,61,83,84,85,86,87,90,116,127],[1,2,3,5,6,7,8,11,
14,15,16,17,22,25,28,31,40,43,44,46,53,64,71,91,94,128],[1,2,3,4,5,6,7,9,13,
14,15,16,17,18,24,28,29,30,31,32,42,43,48,49,53,54,67,69,70,71,100,102,117,
129],[1,6,19,56,97,130],[1,6,19,55,96,131],[1,7,19,58,97,132],[1,7,19,57,59,
97,133],[1,7,19,59,96,134],[1,7,19,57,58,96,135],[1,7,19,20,57,60,98,136],[1,
6,19,56,61,96,137],[1,6,19,55,61,97,138],[1,2,3,4,7,8,9,18,20,23,24,60,66,
139],[1,2,3,8,19,35,97,112,118,140],[1,2,3,8,19,34,96,111,119,141],[1,2,3,9,
19,34,37,97,114,118,142],[1,2,3,9,19,35,37,96,113,119,143],[1,2,5,12,19,34,96,
111,122,144],[1,2,5,12,19,35,97,112,121,145],[1,2,5,11,19,34,96,111,122,146],[
1,2,5,11,19,35,97,112,121,147],[1,2,4,5,13,19,34,35,37,50,97,112,114,121,124,
148],[1,2,4,5,13,19,34,35,37,50,96,111,113,122,123,149],[1,2,4,6,7,14,15,16,
17,19,29,30,34,35,37,43,50,53,55,56,57,58,59,61,69,72,73,74,75,76,77,78,79,80,
81,83,84,85,86,87,88,89,90,103,104,105,106,107,108,116,125,126,127,150],[1,2,
6,14,19,35,56,72,97,112,130,151],[1,2,6,14,19,34,55,73,96,111,131,152],[1,2,7,
15,19,35,58,79,97,112,132,153],[1,2,7,16,19,35,57,59,77,78,97,112,133,154],[1,
2,7,15,19,34,59,76,96,111,134,155],[1,2,7,16,19,34,57,58,74,75,96,111,135,
156],[1,2,6,17,19,34,37,55,61,83,88,97,114,138,157],[1,2,6,17,19,35,37,56,61,
87,89,96,113,137,158],[1,2,7,16,19,35,37,59,78,85,96,113,134,159],[1,2,7,16,
19,35,37,57,58,77,84,96,113,135,160],[1,2,7,15,19,35,37,57,58,79,86,96,113,
135,161],[1,2,7,16,19,34,37,57,59,74,85,97,114,133,162],[1,2,7,15,19,34,37,57,
59,76,86,97,114,133,163],[1,2,7,16,19,34,37,58,75,84,97,114,132,164],[1,2,7,
15,19,20,36,37,57,60,82,86,98,115,136,165],[1,2,6,17,19,34,37,56,81,87,97,114,
130,166],[1,2,6,17,19,35,37,55,80,83,96,113,131,167],[1,2,6,14,19,34,37,55,61,
73,90,97,114,138,168],[1,2,6,14,19,35,37,56,61,72,90,96,113,137,169],[1,2,6,
17,19,35,55,61,80,89,97,112,138,170],[1,2,6,17,19,34,56,61,81,88,96,111,137,
171],[1,2,7,18,19,35,37,59,96,113,134,172],[1,2,7,18,19,34,37,58,97,114,132,
173],[1,2,3,5,7,8,11,15,19,21,22,31,37,38,40,57,86,91,174],[1,2,3,4,5,7,8,9,
13,15,18,20,21,23,24,32,36,39,42,60,66,82,139,175],[1,19,20,96,97,98,176],[1,
2,3,5,8,19,21,34,96,111,119,122,141,177],[1,2,3,5,8,19,21,35,97,112,118,121,
140,178],[1,2,3,4,8,9,19,23,34,35,37,50,97,112,114,118,124,140,142,179],[1,2,
3,4,8,9,19,23,34,35,37,50,96,111,113,119,123,141,143,180],[1,2,3,5,8,19,22,35,
97,112,118,121,140,181],[1,2,3,5,8,19,22,34,96,111,119,122,141,182],[1,3,6,19,
25,56,97,118,130,183],[1,3,6,19,25,55,96,119,131,184],[1,2,4,5,11,12,13,19,26,
34,35,37,50,96,111,113,122,123,144,146,149,185],[1,2,4,5,11,12,13,19,26,34,35,
37,50,97,112,114,121,124,145,147,148,186],[1,2,5,6,14,19,28,34,55,73,96,111,
122,131,152,187],[1,2,5,6,14,19,28,35,56,72,97,112,121,130,151,188],[1,2,4,6,
14,17,19,29,34,35,37,50,56,72,81,87,97,103,112,114,124,130,151,166,189],[1,2,
4,6,14,17,19,29,34,35,37,50,55,73,80,83,96,107,111,113,123,131,152,167,190],[
1,2,4,7,15,16,19,30,34,35,37,50,59,76,78,85,96,105,111,113,123,134,155,159,
191],[1,2,4,7,15,16,19,30,34,35,37,50,57,58,74,75,77,79,84,86,96,104,106,111,
113,123,135,156,160,161,192],[1,2,4,7,15,16,19,30,34,35,37,50,58,75,79,84,97,
104,112,114,124,132,153,164,193],[1,2,4,7,15,16,19,30,34,35,37,50,57,59,74,76,
77,78,85,86,97,105,106,112,114,124,133,154,162,163,194],[1,2,5,7,15,19,31,34,
59,76,96,111,122,134,155,195],[1,2,5,7,15,19,31,35,58,79,97,112,121,132,153,
196],[1,2,4,7,15,18,19,32,34,35,37,50,58,79,97,112,114,124,132,153,173,197],[
1,2,4,7,15,18,19,32,34,35,37,50,59,76,96,111,113,123,134,155,172,198],[1,2,4,
6,14,17,19,29,34,35,37,50,55,61,73,80,83,88,89,90,97,107,108,112,114,124,138,
157,168,170,199],[1,2,4,6,14,17,19,29,34,35,37,50,56,61,72,81,87,88,89,90,96,
103,108,111,113,123,137,158,169,171,200],[1,2,3,4,5,7,8,9,11,12,13,15,16,18,
19,21,22,23,26,30,31,32,34,35,37,38,39,40,41,48,50,51,52,57,74,77,86,91,106,
174,201],[1,2,19,20,34,37,96,97,98,111,114,176,202],[1,2,19,20,35,37,96,97,98,
112,113,176,203],[1,2,19,20,34,35,36,37,96,97,98,113,114,115,176,204],[1,2,3,
4,5,8,9,13,19,21,23,34,35,37,39,50,96,111,113,119,122,123,141,143,149,177,180,
205],[1,2,3,4,5,8,9,13,19,21,23,34,35,37,39,50,97,112,114,118,121,124,140,142,
148,178,179,206],[1,2,3,5,8,12,19,21,35,41,97,112,118,121,140,145,178,207],[1,
2,3,5,8,12,19,21,34,41,96,111,119,122,141,144,177,208],[1,2,3,5,8,11,19,35,40,
97,112,118,121,140,147,209],[1,2,3,5,8,11,19,34,40,96,111,119,122,141,146,
210],[1,2,3,5,8,11,19,21,22,34,38,96,111,119,122,141,146,177,182,211],[1,2,3,
5,8,11,19,21,22,35,38,97,112,118,121,140,147,178,181,212],[1,6,7,19,43,55,56,
57,58,59,61,96,116,131,134,135,137,213],[1,6,7,19,43,55,56,57,58,59,61,97,116,
130,132,133,138,214],[1,2,3,6,8,14,19,25,35,44,56,72,97,112,118,130,140,151,
183,215],[1,2,3,6,8,14,19,25,34,44,55,73,96,111,119,131,141,152,184,216],[1,2,
3,6,9,17,19,25,35,37,45,55,80,83,96,113,119,131,143,167,184,217],[1,2,3,6,9,
17,19,25,34,37,45,56,81,87,97,114,118,130,142,166,183,218],[1,2,5,6,12,14,19,
28,34,47,55,73,96,111,122,131,144,152,187,219],[1,2,5,6,12,14,19,28,35,47,56,
72,97,112,121,130,145,151,188,220],[1,2,5,6,11,14,19,28,35,46,56,72,97,112,
121,130,147,151,188,221],[1,2,5,6,11,14,19,28,34,46,55,73,96,111,122,131,146,
152,187,222],[1,2,4,5,7,13,15,16,18,19,30,31,32,34,35,37,48,50,59,76,78,85,96,
105,111,113,122,123,134,149,155,159,172,191,195,198,223],[1,2,4,5,7,13,15,16,
18,19,30,31,32,34,35,37,48,50,58,75,79,84,97,104,112,114,121,124,132,148,153,
164,173,193,196,197,224],[1,2,4,5,6,13,14,17,19,28,29,34,35,37,49,50,55,73,80,
83,96,107,111,113,122,123,131,149,152,167,187,190,225],[1,2,4,5,6,13,14,17,19,
28,29,34,35,37,49,50,56,72,81,87,97,103,112,114,121,124,130,148,151,166,188,
189,226],[1,2,4,19,20,34,35,36,37,50,96,97,98,111,112,113,114,115,123,124,176,
202,203,204,227],[1,2,3,4,5,8,9,11,12,13,19,23,26,34,35,37,40,50,51,97,112,
114,118,121,124,140,142,145,147,148,179,186,209,228],[1,2,3,4,5,8,9,11,12,13,
19,23,26,34,35,37,40,50,51,96,111,113,119,122,123,141,143,144,146,149,180,185,
210,229],[1,2,3,4,5,8,9,11,12,13,19,21,22,23,26,34,35,37,38,39,41,50,52,97,
112,114,118,121,124,140,142,145,147,148,178,179,181,186,206,207,212,230],[1,2,
3,4,5,8,9,11,12,13,19,21,22,23,26,34,35,37,38,39,41,50,52,96,111,113,119,122,
123,141,143,144,146,149,177,180,182,185,205,208,211,231],[1,2,6,7,14,15,16,17,
19,34,43,53,55,56,57,58,59,61,73,74,75,76,81,88,96,111,116,125,131,134,135,
137,152,155,156,171,213,232],[1,2,6,7,14,15,16,17,19,35,43,53,55,56,57,58,59,
61,72,77,78,79,80,89,97,112,116,126,130,132,133,138,151,153,154,170,214,233],[
1,2,6,7,14,15,16,17,19,34,37,43,53,55,56,57,58,59,61,73,74,75,76,81,83,84,85,
86,87,88,90,97,114,116,125,127,130,132,133,138,157,162,163,164,166,168,214,
234],[1,2,6,7,14,15,16,17,19,35,37,43,53,55,56,57,58,59,61,72,77,78,79,80,83,
84,85,86,87,89,90,96,113,116,126,127,131,134,135,137,158,159,160,161,167,169,
213,235],[1,2,6,7,17,18,19,35,37,43,54,55,56,57,58,59,61,80,83,96,113,116,131,
134,135,137,167,172,213,236],[1,2,6,7,17,18,19,34,37,43,54,55,56,57,58,59,61,
81,87,97,114,116,130,132,133,138,166,173,214,237],[1,2,3,5,6,7,8,11,14,15,16,
17,19,21,22,25,28,31,37,38,40,43,44,46,53,55,56,57,58,59,61,63,64,71,83,84,85,
86,87,90,91,93,94,116,127,128,174,238],[1,6,19,20,56,61,96,97,98,130,137,176,
239],[1,6,19,20,55,61,96,97,98,131,138,176,240],[1,6,19,20,55,56,61,96,97,98,
137,138,176,241],[1,7,19,20,57,59,96,97,98,133,134,176,242],[1,7,19,20,57,58,
96,97,98,132,135,176,243],[1,7,19,20,57,58,59,60,96,97,98,133,135,136,176,
244],[1,2,3,5,6,8,14,19,21,25,28,34,44,55,63,73,96,111,119,122,131,141,152,
177,184,187,216,245],[1,2,3,5,6,8,14,19,21,25,28,35,44,56,63,72,97,112,118,
121,130,140,151,178,183,188,215,246],[1,2,3,5,6,8,14,19,22,25,28,35,44,56,64,
72,97,112,118,121,130,140,151,181,183,188,215,247],[1,2,3,5,6,8,14,19,22,25,
28,34,44,55,64,73,96,111,119,122,131,141,152,182,184,187,216,248],[1,2,3,4,6,
8,9,14,17,19,23,25,29,34,35,37,44,45,50,55,65,73,80,83,96,107,111,113,119,123,
131,141,143,152,167,180,184,190,216,217,249],[1,2,3,4,6,8,9,14,17,19,23,25,29,
34,35,37,44,45,50,56,65,72,81,87,97,103,112,114,118,124,130,140,142,151,166,
179,183,189,215,218,250],[1,2,4,5,6,11,12,13,14,17,19,26,28,29,34,35,37,46,47,
49,50,56,68,72,81,87,97,103,112,114,121,124,130,145,147,148,151,166,186,188,
189,220,221,226,251],[1,2,4,5,6,11,12,13,14,17,19,26,28,29,34,35,37,46,47,49,
50,55,68,73,80,83,96,107,111,113,122,123,131,144,146,149,152,167,185,187,190,
219,222,225,252],[1,2,4,6,7,14,15,16,17,18,19,29,32,34,35,37,43,50,53,54,55,
56,57,58,59,61,70,73,74,75,76,80,81,83,88,96,107,111,113,116,123,125,131,134,
135,137,152,155,156,167,171,172,190,198,213,232,236,253],[1,2,4,6,7,14,15,16,
17,18,19,29,32,34,35,37,43,50,53,54,55,56,57,58,59,61,70,72,77,78,79,80,81,87,
89,97,103,112,114,116,124,126,130,132,133,138,151,153,154,166,170,173,189,197,
214,233,237,254],[1,2,5,6,7,14,15,16,17,19,28,31,34,43,53,55,56,57,58,59,61,
71,73,74,75,76,81,88,96,111,116,122,125,131,134,135,137,152,155,156,171,187,
195,213,232,255],[1,2,5,6,7,14,15,16,17,19,28,31,35,43,53,55,56,57,58,59,61,
71,72,77,78,79,80,89,97,112,116,121,126,130,132,133,138,151,153,154,170,188,
196,214,233,256],[1,2,4,6,7,14,15,16,17,19,29,30,34,35,37,43,50,53,55,56,57,
58,59,61,69,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,96,103,104,
105,106,107,108,111,113,116,123,125,126,127,131,134,135,137,150,152,155,156,
158,159,160,161,167,169,171,190,191,192,200,213,232,235,257],[1,2,4,6,7,14,15,
16,17,19,29,30,34,35,37,43,50,53,55,56,57,58,59,61,69,72,73,74,75,76,77,78,79,
80,81,83,84,85,86,87,88,89,90,97,103,104,105,106,107,108,112,114,116,124,125,
126,127,130,132,133,138,150,151,153,154,157,162,163,164,166,168,170,189,193,
194,199,214,233,234,258],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,
23,25,26,28,29,30,31,32,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,61,63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,
85,86,87,88,89,90,91,92,93,94,95,102,103,104,105,106,107,108,109,110,116,125,
126,127,128,150,174,201,238,259],[1,2,6,14,19,20,34,37,55,61,73,90,96,97,98,
111,114,131,138,152,168,176,202,240,260],[1,2,6,14,19,20,35,37,56,61,72,90,96,
97,98,112,113,130,137,151,169,176,203,239,261],[1,2,6,17,19,20,35,37,55,61,80,
83,89,96,97,98,112,113,131,138,167,170,176,203,240,262],[1,2,6,17,19,20,34,37,
56,61,81,87,88,96,97,98,111,114,130,137,166,171,176,202,239,263],[1,2,7,16,19,
20,34,37,57,58,59,60,74,75,85,96,97,98,111,114,133,135,136,156,162,176,202,
244,264],[1,2,7,16,19,20,35,37,57,58,59,60,77,78,84,96,97,98,112,113,133,135,
136,154,160,176,203,244,265],[1,2,6,17,19,20,34,37,55,56,61,81,83,88,96,97,98,
111,114,137,138,157,171,176,202,241,266],[1,2,6,17,19,20,35,37,55,56,61,80,87,
89,96,97,98,112,113,137,138,158,170,176,203,241,267],[1,2,7,16,19,20,34,37,57,
58,74,75,84,96,97,98,111,114,132,135,156,164,176,202,243,268],[1,2,7,15,19,20,
34,37,57,59,76,86,96,97,98,111,114,133,134,155,163,176,202,242,269],[1,2,7,16,
19,20,35,37,57,59,77,78,85,96,97,98,112,113,133,134,154,159,176,203,242,270],[
1,2,7,15,19,20,35,37,57,58,79,86,96,97,98,112,113,132,135,153,161,176,203,243,
271],[1,2,7,16,19,20,34,35,36,37,57,59,74,78,85,96,97,98,113,114,115,133,134,
159,162,176,204,242,272],[1,2,7,16,19,20,34,35,36,37,57,58,75,77,84,96,97,98,
113,114,115,132,135,160,164,176,204,243,273],[1,2,7,15,19,20,34,35,36,37,57,
58,59,60,76,79,82,86,96,97,98,113,114,115,133,135,136,161,163,165,176,204,244,
274],[1,2,6,14,19,20,34,35,36,37,55,56,61,72,73,90,96,97,98,113,114,115,137,
138,168,169,176,204,241,275],[1,2,6,17,19,20,34,35,36,37,56,61,81,87,89,96,97,
98,113,114,115,130,137,158,166,176,204,239,276],[1,2,6,17,19,20,34,35,36,37,
55,61,80,83,88,96,97,98,113,114,115,131,138,157,167,176,204,240,277],[1,2,3,5,
7,8,11,15,19,22,31,34,40,59,76,91,96,111,119,122,134,141,146,155,182,195,210,
278],[1,2,3,5,7,8,11,15,19,22,31,35,40,58,79,91,97,112,118,121,132,140,147,
153,181,196,209,279],[1,2,3,5,6,8,12,14,19,21,25,28,35,41,44,47,56,63,72,95,
97,112,118,121,130,140,145,151,178,183,188,207,215,220,246,280],[1,2,3,5,6,8,
12,14,19,21,25,28,34,41,44,47,55,63,73,95,96,111,119,122,131,141,144,152,177,
184,187,208,216,219,245,281],[1,2,3,5,6,8,11,14,19,25,28,35,40,44,46,56,72,94,
97,112,118,121,130,140,147,151,183,188,209,215,221,282],[1,2,3,5,6,8,11,14,19,
25,28,34,40,44,46,55,73,94,96,111,119,122,131,141,146,152,184,187,210,216,222,
283],[1,2,3,4,5,6,8,9,13,14,17,19,21,23,25,28,29,34,35,37,39,44,45,49,50,55,
63,65,73,80,83,92,96,107,111,113,119,122,123,131,141,143,149,152,167,177,180,
184,187,190,205,216,217,225,245,249,284],[1,2,3,4,5,6,8,9,13,14,17,19,21,23,
25,28,29,34,35,37,39,44,45,49,50,56,63,65,72,81,87,92,97,103,112,114,118,121,
124,130,140,142,148,151,166,178,179,183,188,189,206,215,218,226,246,250,285],[
1,2,3,5,6,8,11,14,19,21,22,25,28,34,38,44,46,55,63,64,73,93,96,111,119,122,
131,141,146,152,177,182,184,187,211,216,222,245,248,286],[1,2,3,5,6,8,11,14,
19,21,22,25,28,35,38,44,46,56,63,64,72,93,97,112,118,121,130,140,147,151,178,
181,183,188,212,215,221,246,247,287],[1,2,4,5,6,7,13,14,15,16,17,18,19,28,29,
30,31,32,34,35,37,43,48,49,50,53,54,55,56,57,58,59,61,69,70,71,72,73,74,75,76,
77,78,79,80,81,83,84,85,86,87,88,89,90,97,102,103,104,105,106,107,108,112,114,
116,121,124,125,126,127,130,132,133,138,148,150,151,153,154,157,162,163,164,
166,168,170,173,188,189,193,194,196,197,199,214,224,226,233,234,237,254,256,
258,288],[1,2,4,5,6,7,13,14,15,16,17,18,19,28,29,30,31,32,34,35,37,43,48,49,
50,53,54,55,56,57,58,59,61,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,
87,88,89,90,96,102,103,104,105,106,107,108,111,113,116,122,123,125,126,127,
131,134,135,137,149,150,152,155,156,158,159,160,161,167,169,171,172,187,190,
191,192,195,198,200,213,223,225,232,235,236,253,255,257,289],[1,2,4,7,15,16,
19,20,30,34,35,36,37,50,57,59,74,76,77,78,85,86,96,97,98,105,106,111,112,113,
114,115,123,124,133,134,154,155,159,162,163,176,191,194,202,203,204,227,242,
269,270,272,290],[1,2,4,7,15,16,19,20,30,34,35,36,37,50,57,58,74,75,77,79,84,
86,96,97,98,104,106,111,112,113,114,115,123,124,132,135,153,156,160,161,164,
176,192,193,202,203,204,227,243,268,271,273,291],[1,2,4,7,15,16,19,20,30,34,
35,36,37,50,57,58,59,60,74,75,76,77,78,79,82,84,85,86,96,97,98,104,105,106,
111,112,113,114,115,123,124,133,135,136,154,156,160,161,162,163,165,176,192,
194,202,203,204,227,244,264,265,274,292],[1,2,4,6,14,17,19,20,29,34,35,36,37,
50,55,61,73,80,83,88,89,90,96,97,98,107,108,111,112,113,114,115,123,124,131,
138,152,157,167,168,170,176,190,199,202,203,204,227,240,260,262,277,293],[1,2,
4,6,14,17,19,20,29,34,35,36,37,50,56,61,72,81,87,88,89,90,96,97,98,103,108,
111,112,113,114,115,123,124,130,137,151,158,166,169,171,176,189,200,202,203,
204,227,239,261,263,276,294],[1,2,4,6,14,17,19,20,29,34,35,36,37,50,55,56,61,
72,73,80,81,83,87,88,89,90,96,97,98,103,107,108,111,112,113,114,115,123,124,
137,138,157,158,168,169,170,171,176,199,200,202,203,204,227,241,266,267,275,
295],[1,2,3,4,5,6,8,9,11,12,13,14,17,19,21,22,23,25,26,28,29,34,35,37,38,39,
41,44,45,46,47,49,50,52,55,63,64,65,68,73,80,83,92,93,95,96,107,109,111,113,
119,122,123,131,141,143,144,146,149,152,167,177,180,182,184,185,187,190,205,
208,211,216,217,219,222,225,231,245,248,249,252,281,284,286,296],[1,2,3,4,5,6,
8,9,11,12,13,14,17,19,21,22,23,25,26,28,29,34,35,37,38,39,41,44,45,46,47,49,
50,52,56,63,64,65,68,72,81,87,92,93,95,97,103,109,112,114,118,121,124,130,140,
142,145,147,148,151,166,178,179,181,183,186,188,189,206,207,212,215,218,220,
221,226,230,246,247,250,251,280,285,287,297],[1,2,3,4,5,6,8,9,11,12,13,14,17,
19,23,25,26,28,29,34,35,37,40,44,45,46,47,49,50,51,55,65,68,73,80,83,94,96,
107,110,111,113,119,122,123,131,141,143,144,146,149,152,167,180,184,185,187,
190,210,216,217,219,222,225,229,249,252,283,298],[1,2,3,4,5,6,8,9,11,12,13,14,
17,19,23,25,26,28,29,34,35,37,40,44,45,46,47,49,50,51,56,65,68,72,81,87,94,97,
103,110,112,114,118,121,124,130,140,142,145,147,148,151,166,179,183,186,188,
189,209,215,218,220,221,226,228,250,251,282,299],[1,6,7,19,20,43,55,56,57,58,
59,60,61,96,97,98,116,130,131,132,133,134,135,136,137,138,176,213,214,239,240,
241,242,243,244,300],[1,2,6,7,14,15,16,17,19,20,35,37,43,53,55,56,57,58,59,60,
61,72,77,78,79,80,83,84,85,86,87,89,90,96,97,98,112,113,116,126,127,130,131,
132,133,134,135,136,137,138,151,153,154,158,159,160,161,167,169,170,176,203,
213,214,233,235,239,240,241,242,243,244,261,262,265,267,270,271,300,301],[1,2,
6,7,14,15,16,17,19,20,34,37,43,53,55,56,57,58,59,60,61,73,74,75,76,81,83,84,
85,86,87,88,90,96,97,98,111,114,116,125,127,130,131,132,133,134,135,136,137,
138,152,155,156,157,162,163,164,166,168,171,176,202,213,214,232,234,239,240,
241,242,243,244,260,263,264,266,268,269,300,302],[1,2,6,7,14,15,16,17,19,20,
34,35,36,37,43,53,55,56,57,58,59,60,61,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,96,97,98,113,114,115,116,125,126,127,130,131,132,133,134,
135,136,137,138,157,158,159,160,161,162,163,164,165,166,167,168,169,176,204,
213,214,234,235,239,240,241,242,243,244,272,273,274,275,276,277,300,303],[1,2,
3,5,6,7,8,11,14,15,16,17,19,22,25,28,31,35,40,43,44,46,53,55,56,57,58,59,61,
64,71,72,77,78,79,80,89,91,94,97,112,116,118,121,126,128,130,132,133,138,140,
147,151,153,154,170,181,183,188,196,209,214,215,221,233,247,256,279,282,304],[
1,2,3,5,6,7,8,11,14,15,16,17,19,22,25,28,31,34,40,43,44,46,53,55,56,57,58,59,
61,64,71,73,74,75,76,81,88,91,94,96,111,116,119,122,125,128,131,134,135,137,
141,146,152,155,156,171,182,184,187,195,210,213,216,222,232,248,255,278,283,
305],[1,2,4,6,7,14,15,16,17,19,20,29,30,34,35,36,37,43,50,53,55,56,57,58,59,
60,61,69,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,
103,104,105,106,107,108,111,112,113,114,115,116,123,124,125,126,127,130,131,
132,133,134,135,136,137,138,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,176,189,190,191,192,193,194,199,200,
202,203,204,213,214,227,232,233,234,235,239,240,241,242,243,244,257,258,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,290,291,
292,293,294,295,300,301,302,303,306],[1,2,3,5,7,8,11,15,19,20,21,22,31,34,37,
38,40,57,59,76,86,91,96,97,98,111,114,119,122,133,134,141,146,155,163,174,176,
177,182,195,202,210,211,242,269,278,307],[1,2,3,5,7,8,11,15,19,20,21,22,31,35,
37,38,40,57,58,79,86,91,96,97,98,112,113,118,121,132,135,140,147,153,161,174,
176,178,181,196,203,209,212,243,271,279,308],[1,2,3,4,5,7,8,9,11,12,13,15,16,
18,19,20,21,22,23,26,30,31,32,34,35,36,37,38,39,40,41,48,50,51,52,57,59,74,76,
77,78,85,86,91,96,97,98,105,106,111,112,113,114,115,119,122,123,124,133,134,
141,143,144,146,149,154,155,159,162,163,172,174,176,177,180,182,185,191,194,
195,198,201,202,203,204,205,208,210,211,223,227,229,231,242,269,270,272,278,
290,307,309],[1,2,3,4,5,7,8,9,11,12,13,15,16,18,19,20,21,22,23,26,30,31,32,34,
35,36,37,38,39,40,41,48,50,51,52,57,58,74,75,77,79,84,86,91,96,97,98,104,106,
111,112,113,114,115,118,121,123,124,132,135,140,142,145,147,148,153,156,160,
161,164,173,174,176,178,179,181,186,192,193,196,197,201,202,203,204,206,207,
209,212,224,227,228,230,243,268,271,273,279,291,308,310],[1,2,3,5,6,7,8,11,14,
15,16,17,19,20,21,22,25,28,31,34,37,38,40,43,44,46,53,55,56,57,58,59,60,61,63,
64,71,73,74,75,76,81,83,84,85,86,87,88,90,91,93,94,96,97,98,111,114,116,119,
122,125,127,128,130,131,132,133,134,135,136,137,138,141,146,152,155,156,157,
162,163,164,166,168,171,174,176,177,182,184,187,195,202,210,211,213,214,216,
222,232,234,238,239,240,241,242,243,244,245,248,255,260,263,264,266,268,269,
278,283,286,300,302,305,307,311],[1,2,3,5,6,7,8,11,14,15,16,17,19,20,21,22,25,
28,31,35,37,38,40,43,44,46,53,55,56,57,58,59,60,61,63,64,71,72,77,78,79,80,83,
84,85,86,87,89,90,91,93,94,96,97,98,112,113,116,118,121,126,127,128,130,131,
132,133,134,135,136,137,138,140,147,151,153,154,158,159,160,161,167,169,170,
174,176,178,181,183,188,196,203,209,212,213,214,215,221,233,235,238,239,240,
241,242,243,244,246,247,256,261,262,265,267,270,271,279,282,287,300,301,304,
308,312],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,
29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,118,121,123,124,125,126,127,128,130,131,132,133,134,
135,136,137,138,140,142,145,147,148,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,173,174,176,178,179,181,183,
186,188,189,190,191,192,193,194,196,197,199,200,201,202,203,204,206,207,209,
212,213,214,215,218,220,221,224,226,227,228,230,232,233,234,235,237,238,239,
240,241,242,243,244,246,247,250,251,254,256,257,258,259,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,279,280,282,285,287,288,
290,291,292,293,294,295,297,299,300,301,302,303,304,306,308,310,312,313],[1,2,
3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,34,
35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,94,95,96,97,98,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,119,122,123,124,125,126,127,128,130,131,132,133,134,135,136,137,138,
141,143,144,146,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,174,176,177,180,182,184,185,187,189,190,
191,192,193,194,195,198,199,200,201,202,203,204,205,208,210,211,213,214,216,
217,219,222,223,225,227,229,231,232,233,234,235,236,238,239,240,241,242,243,
244,245,248,249,252,253,255,257,258,259,260,261,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,281,283,284,286,289,290,291,292,293,
294,295,296,298,300,301,302,303,305,306,307,309,311,314],[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]],
0,
[[1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,1,3,
1],[1,1,1,1],[1,5,2,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,
1],[1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,7,1,3,1,2,1],[1,3,4,1,1],[1,1,1,1],[1,
5,2,3,1,1,1,1],[1,1],[1,1,1,1,1,1],[1,3,1,1,1,2,1],[1,3,1,1,1,2,1],[1,1,5,1,1,
1],[1,11,5,1,1,2,1],[1,7,1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,1,1,1],[1,1,
1,7,1,3,1,2,1],[1,13,1,6,1,1,4,3,1,2,1],[1,1,4,3,4,1,1],[1,1,1,1,1,1,1,1],[1,
9,4,4,3,4,3,1,1],[1,3,3,1],[1,1,1,1,1,1,1,1],[1,3,1,1,1,3,1,1],[1,1,3,1,1,1,3,
1],[1,1,1,1,1,1,1,1],[1,13,6,5,1,5,1,2,2,1,1,1,1],[1,5,2,1,1,1,1,4,1,2,1],[1,
23,11,1,1,1,1,1],[1,13,4,6,3,4,8,1,3,3,4,3,1,1],[1,13,1,6,7,1,4,3,1,3,1,2,2,3,
1,1,1,1],[1,1,3,3,1,1,2,2,1,1],[1,5,3,3,5,1,1,1],[1,11,1,1],[1,11,1,1],[1,11,
1,1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,1,1,1],[1,19,1,1],[1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,7,1,3,1,1,2,1,6,1,1,3,1,2,1],[1,15,10,5,6,
10,6,5,1],[1,25,3,3,1,1],[1,5,2,3,1,1,1,1,1,4,1,3,2,1,1,1,1],[1,3,1,3,3,3,3,6,
6,3,3,1,3,1],[1,11,5,3,3,1,1,2,12,2,5,1,1,1,2,1],[1,1,5,3,3,1,1,2,2,5,1,1,1,
1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,
1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,
11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,
1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,1,1],[1,1,11,11,1,1,
1,1],[1,1,11,11,1,1,1,1],[1,11,1,11,1,1,1,1],[1,11,1,11,1,1,1,1],[1,1,1,1,1,1,
1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,13,1,6,1,1,1,4,3,1,12,1,2,1,1,6,1,1,4,3,
1,2,1],[1,1,1,7,1,1,3,1,1,2,1,7,1,1,3,1,2,1],[1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,12,1],[1,12,1],[1,1,11,1],[1,1,1,1],[1,15,
25,3,3,25,15,3,1,3,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,13,6,5,3,3,5,3,3,
6,16,2,5,8,3,1,1,1,1,5,3,2,1,1,1,1],[1,23,11,11,11,22,1,11,1,1,1,1,1,1,1,1,
1],[1,23,11,11,11,22,1,11,1,1,1,1,1,1,1,1,1],[1,23,11,11,11,22,1,11,1,1,1,1,1,
1,1,1,1],[1,23,11,11,11,22,1,11,1,1,1,1,1,1,1,1,1],[1,23,11,11,11,22,1,11,1,1,
1,1,1,1,1,1,1],[1,23,11,1,1,22,1,11,1,1,1,1,1,1,1,1,1],[1,13,1,6,7,1,1,4,3,1,
3,1,12,1,2,2,1,3,7,6,1,1,1,1,4,3,1,3,1,1,2,2,3,1,1,1,1],[1,13,4,6,3,1,4,8,1,3,
3,1,12,4,4,3,3,6,1,4,8,1,3,3,1,4,3,1,1],[1,121,12,132,1,1],[1,121,12,132,1,
1],[1,11,12,1,11,1,1],[1,11,12,1,11,1,1],[1,11,1,11,1,11,1,1],[1,23,33,1,11,1,
1,1,1,1,1,1],[1,3,100,1,3,3,3,3,6,6,25,3,3,1,3,4,1,1],[1,121,12,1,1],[1,121,
12,1,1],[1,133,1,1,19,7,1,1],[1,121,121,12,132,1,1,1],[1,121,121,12,132,1,1,
1],[1,143,121,12,132,2,22,22,1,1,2,1],[1,143,121,12,2,132,22,22,1,1,2,1],[1,
11,23,33,11,11,22,22,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,23,33,11,11,
22,22,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,23,33,1,11,22,22,1,1,11,11,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,15,13,18,10,5,1,6,12,12,10,10,15,6,5,6,
10,5,6,10,6,1,5,1],[1,33,100,16,15,3,3,100,15,3,3,6,36,6,25,15,18,3,3,3,25,1,
3,15,3,6,4,1,3,3,4,3,1,1],[1,121,12,132,1,1],[1,121,12,132,1,1],[1,121,12,22,
1,1],[1,121,12,11,11,1,1],[1,121,12,22,1,1],[1,121,12,11,11,1,1],[1,121,1,11,
11,11,1,1],[1,11,12,1,11,1,1],[1,11,12,1,11,1,1],[1,55,55,55,66,55,110,66,12,
55,55,12,22,1],[1,121,121,121,12,132,1,1,1,1],[1,121,121,121,12,132,1,1,1,1],[
1,33,121,121,12,3,33,1,3,1,1],[1,33,121,121,12,3,33,1,3,1,1],[1,121,121,121,
12,132,1,1,1,1],[1,121,121,121,12,132,1,1,1,1],[1,121,363,121,12,132,1,1,3,
1],[1,121,363,121,12,132,1,1,3,1],[1,165,242,121,121,12,4,132,44,44,1,1,4,1,2,
1],[1,165,242,121,121,12,132,4,44,44,1,1,4,1,2,1],[1,23,11,23,33,23,33,66,66,
1,33,33,1,1,1,11,1,33,1,1,1,1,1,1,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,121,121,121,12,132,132,132,1,1,1,1],[1,121,121,121,12,
132,132,132,1,1,1,1],[1,121,121,121,12,132,22,22,1,1,1,1],[1,121,121,121,12,
132,11,11,11,11,1,1,1,1],[1,121,121,121,12,132,22,22,1,1,1,1],[1,121,121,121,
12,132,11,11,11,11,1,1,1,1],[1,11,11,121,12,1,11,1,11,11,11,1,1,1,1],[1,11,11,
121,12,1,11,1,11,11,11,1,1,1,1],[1,11,121,121,12,1,11,22,11,11,1,1,1,1],[1,11,
121,121,12,1,11,11,11,11,11,1,1,1,1],[1,11,121,121,12,1,11,11,11,11,11,1,1,1,
1],[1,11,121,121,12,1,11,11,11,11,11,1,1,1,1],[1,11,121,121,12,1,11,11,11,11,
11,1,1,1,1],[1,11,121,121,12,1,11,22,11,11,1,1,1,1],[1,11,121,121,1,11,1,11,
11,11,11,11,1,1,1,1],[1,11,121,121,12,1,11,132,11,11,1,1,1,1],[1,11,121,121,
12,1,11,132,11,11,1,1,1,1],[1,11,11,11,12,1,11,1,11,1,11,1,1,1,1],[1,11,11,11,
12,1,11,1,11,1,11,1,1,1,1],[1,121,11,121,12,132,1,11,11,11,1,1,1,1],[1,121,11,
121,12,132,1,11,11,11,1,1,1,1],[1,55,121,121,12,5,55,22,1,5,1,1],[1,55,121,
121,12,5,55,22,1,5,1,1],[1,1,55,55,66,55,55,66,12,55,110,66,12,55,55,12,12,22,
1],[1,121,55,220,55,66,55,220,165,66,132,12,55,110,55,66,12,55,55,12,22,12,1,
1],[1,23,110,1,1,10,1],[1,121,121,121,121,12,121,132,1,1,1,1,1,1],[1,121,121,
121,121,12,121,132,1,1,1,1,1,1],[1,187,121,363,121,242,12,121,6,132,66,66,1,1,
6,1,3,1,2,1],[1,187,121,363,121,242,12,121,132,6,66,66,1,1,6,1,3,1,2,1],[1,
121,121,363,121,12,121,132,1,1,1,3,1,1],[1,121,121,363,121,12,121,132,1,1,1,3,
1,1],[1,121,121,12,121,132,1,1,1,1],[1,121,121,12,121,132,1,1,1,1],[1,165,242,
363,121,121,121,12,121,132,4,44,44,1,1,4,3,2,1,1,1,1],[1,165,242,363,121,121,
121,12,121,4,132,44,44,1,1,4,3,2,1,1,1,1],[1,121,121,121,121,12,121,132,132,
132,1,1,1,1,1,1],[1,121,121,121,121,12,121,132,132,132,1,1,1,1,1,1],[1,143,
121,121,121,242,12,121,2,132,22,22,132,132,22,22,1,22,1,2,1,1,1,2,1],[1,143,
121,121,121,242,12,121,132,2,22,22,132,132,22,22,1,22,1,2,1,1,1,2,1],[1,143,
121,121,121,242,12,121,132,2,22,22,22,22,22,22,1,22,1,2,1,1,1,2,1],[1,143,121,
121,121,242,12,121,132,2,22,22,11,11,11,11,11,11,11,11,1,11,11,1,2,1,1,1,1,1,
1],[1,143,121,121,121,242,12,121,2,132,22,22,22,22,22,22,1,22,1,2,1,1,1,2,1],[
1,143,121,121,121,242,12,121,2,132,22,22,11,11,11,11,11,11,11,11,1,11,11,1,2,
1,1,1,1,1,1],[1,121,605,121,121,12,121,132,22,22,1,1,5,1,1,1],[1,121,605,121,
121,12,121,132,22,22,1,1,5,1,1,1],[1,231,605,121,121,242,12,121,10,132,110,
110,22,22,1,1,10,5,1,1,2,1],[1,231,605,121,121,242,12,121,132,10,110,110,22,
22,1,1,10,5,1,1,2,1],[1,143,121,11,11,242,12,121,2,132,22,22,1,11,1,11,11,11,
11,11,1,11,11,1,2,1,1,1,1,1,1],[1,143,121,11,11,242,12,121,132,2,22,22,1,11,1,
11,11,11,11,11,1,11,11,1,2,1,1,1,1,1,1],[1,133,55,66,55,66,55,220,55,55,165,
66,132,132,12,55,110,110,165,66,66,66,12,12,12,55,55,55,55,66,12,55,55,12,12,
12,12,22,12,1,1],[1,121,23,110,132,121,1,1,10,1,11,1,1],[1,121,23,110,132,121,
1,1,10,1,11,1,1],[1,121,23,110,11,11,110,121,1,1,10,11,11,110,1,1],[1,253,121,
726,121,121,484,363,12,121,242,132,12,132,121,132,1,1,12,1,1,6,1,4,3,1,2,1],[
1,253,121,726,121,121,484,363,12,121,242,12,132,132,121,132,1,1,12,1,1,6,1,4,
3,1,2,1],[1,121,121,121,121,121,12,121,132,121,1,1,1,1,1,1,1,1],[1,121,121,
121,121,121,12,121,132,121,1,1,1,1,1,1,1,1],[1,121,484,363,484,121,12,132,121,
1,1,4,3,4,1,1],[1,121,484,363,484,121,12,132,121,1,1,4,3,4,1,1],[1,121,121,
847,121,363,12,121,242,132,121,1,1,1,7,1,3,1,2,1],[1,121,121,847,121,363,12,
121,242,132,121,1,1,1,7,1,3,1,2,1],[1,143,363,12,121,132,2,22,22,22,22,1,22,1,
1,2,2,1],[1,143,363,12,121,2,132,22,22,22,22,1,22,1,1,2,2,1],[1,121,121,121,
121,121,12,121,132,121,132,132,1,1,1,1,1,1,1,1],[1,121,121,121,121,121,12,121,
132,121,132,132,1,1,1,1,1,1,1,1],[1,33,121,121,121,363,12,121,3,33,121,132,33,
33,1,3,1,1,1,3,1,1],[1,33,121,121,121,363,12,121,3,33,121,132,33,33,1,3,1,1,1,
3,1,1],[1,121,121,121,121,121,12,121,132,121,132,132,1,1,1,1,1,1,1,1],[1,121,
121,121,121,121,12,121,132,121,132,132,1,1,1,1,1,1,1,1],[1,121,363,121,121,
121,12,363,132,121,132,132,1,1,3,1,1,1,3,1],[1,121,363,121,121,121,12,363,132,
121,132,132,1,1,3,1,1,1,3,1],[1,253,726,605,121,605,121,242,242,12,121,121,
121,132,12,132,121,132,22,22,22,22,1,22,1,12,5,6,1,5,1,2,2,1,1,1,1],[1,253,
726,605,121,605,121,242,242,12,121,121,121,12,132,132,121,132,22,22,22,22,1,
22,1,12,5,6,1,5,1,2,2,1,1,1,1],[1,165,242,121,121,121,121,484,12,121,242,132,
4,44,121,44,132,132,44,44,1,44,1,4,1,2,1,1,1,4,1,2,1],[1,165,242,121,121,121,
121,484,12,121,242,4,132,44,121,44,132,132,44,44,1,44,1,4,1,2,1,1,1,4,1,2,1],[
1,363,1331,23,110,143,143,110,363,363,1,1,10,1,1,22,22,110,11,11,1,1,1,1,1],[
1,253,484,726,363,484,968,121,363,363,12,484,363,12,132,132,121,132,121,1,1,
12,4,3,6,4,8,3,1,3,4,3,1,1],[1,253,484,726,363,484,968,121,363,363,12,484,363,
132,12,132,121,132,121,1,1,12,4,3,6,4,8,3,1,3,4,3,1,1],[1,253,121,726,847,121,
484,363,121,363,12,121,242,242,363,12,132,132,121,121,121,132,121,1,1,12,1,7,
6,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,253,121,726,847,121,484,363,121,363,12,121,
242,242,363,132,12,132,121,121,121,132,121,1,1,12,1,7,6,1,4,1,3,3,1,2,2,3,1,1,
1,1],[1,121,143,363,121,121,242,242,12,132,121,121,132,2,22,22,22,22,132,22,
22,22,22,22,1,1,22,22,1,1,2,2,1,1,2,2,1,1],[1,121,143,363,121,121,242,242,12,
132,121,121,2,132,22,22,22,22,132,22,22,22,22,22,1,1,22,22,1,1,2,2,1,1,2,2,1,
1],[1,11,143,363,11,121,242,242,12,1,11,121,121,2,132,22,22,22,22,1,11,11,11,
11,11,11,11,11,11,11,11,1,1,22,11,11,1,1,2,2,1,1,1,1,1,1,1,1],[1,11,143,363,
11,121,242,242,12,1,11,121,121,132,2,22,22,22,22,1,11,11,11,11,11,11,11,11,11,
11,11,1,1,22,11,11,1,1,2,2,1,1,1,1,1,1,1,1],[1,55,143,363,605,121,12,5,55,121,
121,132,2,22,22,22,22,55,55,1,5,22,1,1,2,2,5,1,1,1],[1,55,143,363,605,121,12,
5,55,121,121,2,132,22,22,22,22,55,55,1,5,22,1,1,2,2,5,1,1,1],[1,1,55,55,133,
198,55,55,1,66,132,132,12,55,110,55,55,66,12,55,55,66,55,55,66,12,12,12,12,12,
12,55,110,66,12,12,12,12,12,12,22,55,55,12,12,22,1,1],[1,121,23,110,132,121,1,
1,10,1,11,1,1],[1,121,23,110,132,121,1,1,10,1,11,1,1],[1,121,23,110,11,11,121,
1,1,10,11,11,1,1],[1,1331,23,110,121,242,1,1,10,11,11,1,1],[1,1331,23,110,121,
242,1,1,10,11,11,1,1],[1,1331,23,110,121,121,121,1210,1,1,10,11,11,110,1,1],[
1,121,121,121,121,121,121,12,121,121,121,132,121,132,121,132,1,1,1,1,1,1,1,1,
1,1,1,1],[1,121,121,121,121,121,121,12,121,121,121,132,121,132,121,132,1,1,1,
1,1,1,1,1,1,1,1,1],[1,121,121,363,121,121,121,12,121,121,363,132,121,132,121,
132,1,1,1,3,1,1,1,1,1,3,1,1],[1,121,121,363,121,121,121,12,121,121,363,132,
121,132,121,132,1,1,1,3,1,1,1,1,1,3,1,1],[1,187,121,363,121,121,242,121,726,
12,121,121,363,132,6,66,121,242,66,132,121,132,66,66,1,66,1,6,1,3,1,1,2,1,6,1,
1,3,1,2,1],[1,187,121,363,121,121,242,121,726,12,121,121,363,6,132,66,121,242,
66,132,121,132,66,66,1,66,1,6,1,3,1,1,2,1,6,1,1,3,1,2,1],[1,165,242,363,121,
121,121,121,121,484,12,121,363,242,4,132,44,121,121,121,44,132,121,132,44,44,
1,44,1,4,3,2,1,1,1,1,1,4,1,3,2,1,1,1,1],[1,165,242,363,121,121,121,121,121,
484,12,121,363,242,132,4,44,121,121,121,44,132,121,132,44,44,1,44,1,4,3,2,1,1,
1,1,1,4,1,3,2,1,1,1,1],[1,231,605,143,363,121,121,242,1452,242,12,605,121,132,
10,110,121,110,121,242,132,2,22,22,22,22,121,132,22,22,22,110,22,110,22,1,110,
1,10,22,5,22,1,1,2,2,1,1,2,10,2,2,5,1,1,1,2,1],[1,231,605,143,363,121,121,242,
1452,242,12,605,121,10,132,110,121,110,121,242,2,132,22,22,22,22,121,132,22,
22,22,22,110,110,22,1,110,1,10,22,5,22,1,1,2,2,1,1,2,10,2,2,5,1,1,1,2,1],[1,
121,605,143,363,121,121,242,242,12,605,121,132,121,121,132,2,22,22,22,22,121,
132,22,22,22,22,22,1,1,22,5,22,1,1,2,2,1,1,2,2,5,1,1,1,1],[1,121,605,143,363,
121,121,242,242,12,605,121,132,121,121,2,132,22,22,22,22,121,132,22,22,22,22,
22,1,1,22,5,22,1,1,2,2,1,1,2,2,5,1,1,1,1],[1,143,121,143,363,143,363,726,726,
12,363,363,132,2,22,121,22,363,132,2,22,22,22,22,121,2,132,22,22,22,22,22,22,
22,22,22,22,22,22,22,22,22,22,1,22,22,22,22,22,22,1,2,22,1,22,22,22,1,1,2,2,
22,1,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,2,1],[1,143,121,143,363,143,363,726,726,12,
363,363,2,132,22,121,22,363,2,132,22,22,22,22,121,132,2,22,22,22,22,22,22,22,
22,22,22,22,22,22,22,22,22,1,22,22,22,22,22,22,1,2,22,1,22,22,22,1,1,2,2,22,1,
1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,2,1],[1,133,55,66,55,133,198,55,220,55,55,165,
133,198,396,396,132,12,55,110,110,55,165,55,198,198,66,66,12,12,12,55,55,55,
55,66,55,220,55,55,66,165,12,55,55,198,132,12,12,12,12,12,12,55,110,110,165,
66,66,66,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,22,55,55,55,55,
66,12,12,12,12,12,12,55,55,12,12,12,12,22,12,1,1,1,1],[1,121,121,121,23,110,
132,121,132,121,132,121,1,1,10,1,11,1,11,1,11,1,1,1,1],[1,121,121,121,23,110,
132,121,132,121,132,121,1,1,10,1,11,1,11,1,11,1,1,1,1],[1,121,121,1331,23,110,
132,121,132,121,121,121,121,1,1,10,1,11,1,11,11,11,1,1,1,1],[1,121,121,1331,
23,110,132,121,132,121,121,121,121,1,1,10,1,11,1,11,11,11,1,1,1,1],[1,121,
1331,1331,23,110,132,121,121,121,121,1210,121,121,121,1,1,10,1,11,11,11,110,
11,11,1,1,1,1],[1,121,1331,1331,23,110,132,121,121,121,121,1210,121,121,121,1,
1,10,1,11,11,11,110,11,11,1,1,1,1],[1,121,121,1331,23,110,132,121,11,11,121,
121,121,121,1,1,10,1,11,11,11,11,11,1,1,1,1],[1,121,121,1331,23,110,132,121,
11,11,121,121,121,121,1,1,10,1,11,11,11,11,11,1,1,1,1],[1,121,1331,1331,23,
110,132,121,121,242,121,121,121,1,1,10,1,11,11,11,11,11,1,1,1,1],[1,121,1331,
1331,23,110,132,121,121,242,242,121,1,1,10,1,11,11,11,11,11,1,1,1,1],[1,121,
1331,1331,23,110,132,121,121,242,121,121,121,1,1,10,1,11,11,11,11,11,1,1,1,
1],[1,121,1331,1331,23,110,132,121,121,242,242,121,1,1,10,1,11,11,11,11,11,1,
1,1,1],[1,121,1331,1331,23,110,11,11,110,121,121,242,121,121,121,1,1,10,11,11,
110,11,11,11,11,1,1,1,1],[1,121,1331,1331,23,110,11,11,110,121,121,242,121,
121,121,1,1,10,11,11,110,11,11,11,11,1,1,1,1],[1,121,1331,1331,23,110,11,11,
110,121,121,121,121,1210,121,121,1210,121,1,1,10,11,11,110,11,11,110,11,11,
110,1,1,1,1],[1,121,121,121,23,110,11,11,110,121,11,11,121,11,11,121,1,1,10,
11,11,110,11,11,11,11,1,1,1,1],[1,121,121,1331,23,110,11,11,110,121,132,121,
121,121,121,1,1,10,11,11,110,1,11,11,11,1,1,1,1],[1,121,121,1331,23,110,11,11,
110,121,132,121,121,121,121,1,1,10,11,11,110,1,11,11,11,1,1,1,1],[1,121,1210,
1815,726,1210,605,726,12,1210,726,132,605,132,132,121,1,1,10,15,6,10,5,6,10,6,
5,1],[1,121,1210,1815,726,1210,605,726,12,1210,726,132,605,132,132,121,1,1,10,
15,6,10,5,6,10,6,5,1],[1,121,121,121,121,121,121,121,12,121,121,121,132,121,
121,121,132,121,132,121,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,121,121,121,
121,121,121,12,121,121,121,132,121,121,121,132,121,132,121,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,121,484,363,121,484,121,121,12,484,363,132,121,484,121,132,
132,121,1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,121,484,363,121,484,121,121,12,484,
363,132,121,484,121,132,132,121,1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,253,121,726,
121,121,121,484,363,121,1452,12,121,242,121,121,726,132,12,132,121,121,484,
363,132,132,121,242,132,132,132,121,1,132,1,12,1,1,6,1,1,4,3,1,12,1,2,1,1,6,1,
1,4,3,1,2,1],[1,253,121,726,121,121,121,484,363,121,1452,12,121,242,121,121,
726,12,132,132,121,121,484,363,132,132,121,242,132,132,132,121,1,132,1,12,1,1,
6,1,1,4,3,1,12,1,2,1,1,6,1,1,4,3,1,2,1],[1,121,121,847,121,121,363,121,12,121,
242,121,847,132,121,121,363,132,121,242,132,121,1,1,1,7,1,1,3,1,1,2,1,7,1,1,3,
1,2,1],[1,121,121,847,121,121,363,121,12,121,242,121,847,132,121,121,363,132,
121,242,132,121,1,1,1,7,1,1,3,1,1,2,1,7,1,1,3,1,2,1],[1,253,726,605,143,363,
605,143,363,726,1936,242,12,605,968,363,121,121,12,132,132,121,121,605,132,
363,242,2,132,22,22,22,22,121,121,121,132,2,22,22,22,22,22,22,22,132,22,22,22,
22,132,22,22,22,1,121,132,22,22,22,22,22,1,12,22,5,6,22,22,22,1,1,2,2,5,22,1,
1,2,2,2,2,2,12,2,2,2,5,6,1,2,1,1,2,1,1,5,1,2,2,1,1,1,1],[1,253,726,605,143,
363,605,143,363,726,1936,242,12,605,968,363,121,121,132,12,132,121,121,605,
132,363,242,132,2,22,22,22,22,121,121,121,2,132,22,22,22,22,22,22,132,22,132,
22,22,22,22,22,22,22,1,121,22,22,22,22,132,22,1,12,22,5,6,22,22,22,1,1,2,2,5,
22,1,1,2,2,2,2,2,12,2,2,2,5,6,1,2,1,1,2,1,1,5,1,2,2,1,1,1,1],[1,363,1331,1331,
1331,2662,23,110,1331,143,143,110,363,363,121,242,121,242,121,242,242,121,1,1,
10,242,121,1,1,22,22,110,11,11,11,11,11,11,22,11,11,1,11,11,1,1,1,1,1,1,1,1,
1],[1,363,1331,1331,1331,2662,23,110,1331,143,143,110,363,363,121,242,121,242,
121,242,242,121,1,1,10,242,121,1,1,22,22,110,11,11,11,11,11,11,11,11,22,1,11,
11,1,1,1,1,1,1,1,1,1],[1,363,1331,1331,1331,2662,23,110,1331,143,143,110,363,
363,121,121,121,1210,121,121,121,121,121,121,1210,121,121,121,1,1,10,121,121,
121,1,1,22,22,110,11,11,11,11,110,11,11,11,11,11,11,110,1,11,11,1,1,1,1,1,1,1,
1,1],[1,363,1331,121,121,2662,23,110,1331,143,143,110,363,363,132,121,132,242,
242,121,121,121,1,1,10,242,121,1,1,22,22,110,11,11,1,11,1,11,22,11,11,1,11,11,
1,1,1,1,1,1,1,1,1],[1,363,1331,121,121,2662,23,110,1331,143,143,110,363,363,
132,121,132,242,242,121,121,121,1,1,10,242,121,1,1,22,22,110,11,11,1,11,1,11,
22,11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,363,1331,121,121,2662,23,110,1331,143,
143,110,363,363,11,11,121,11,11,121,121,121,121,121,121,121,1,1,10,121,121,
121,1,1,22,22,110,11,11,11,11,11,11,11,11,11,11,1,11,11,1,1,1,1,1,1,1,1,1],[1,
253,121,726,847,121,121,484,363,121,363,121,1452,12,121,242,242,121,363,847,
726,132,12,132,121,121,121,121,484,363,121,363,132,121,132,121,242,242,363,
132,132,132,121,121,121,1,132,121,1,12,1,7,6,1,1,4,1,3,3,1,12,1,2,2,1,3,7,6,1,
1,1,1,4,1,3,3,1,1,2,2,3,1,1,1,1],[1,253,121,726,847,121,121,484,363,121,363,
121,1452,12,121,242,242,121,363,847,726,12,132,132,121,121,121,121,484,363,
121,363,132,121,132,121,242,242,363,132,132,132,121,121,121,1,132,121,1,12,1,
7,6,1,1,4,1,3,3,1,12,1,2,2,1,3,7,6,1,1,1,1,4,1,3,3,1,1,2,2,3,1,1,1,1],[1,253,
484,726,363,121,484,968,121,363,363,121,1452,12,484,484,363,363,726,132,12,
132,121,484,968,121,363,363,132,121,132,484,363,132,132,132,121,1,132,121,1,
12,4,3,6,1,4,8,3,1,3,1,12,4,4,3,3,6,1,4,8,3,1,3,1,4,3,1,1],[1,253,484,726,363,
121,484,968,121,363,363,121,1452,12,484,484,363,363,726,12,132,132,121,484,
968,121,363,363,132,121,132,484,363,132,132,132,121,1,132,121,1,12,4,3,6,1,4,
8,3,1,3,1,12,4,4,3,3,6,1,4,8,3,1,3,1,4,3,1,1],[1,363,3993,23,110,1331,143,143,
363,363,363,1210,363,1,1,10,363,1,1,11,22,11,22,110,22,22,1,11,11,1,1,1,1,1,1,
1],[1,121,363,3993,121,1331,2662,2662,23,110,132,121,1331,1331,143,143,363,
363,363,1210,363,132,242,242,242,242,121,121,121,121,121,242,121,1,1,10,1,11,
363,242,121,1,1,11,22,11,22,110,22,22,1,11,22,11,11,11,11,11,11,22,1,1,11,11,
11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,363,3993,121,1331,2662,2662,23,110,
132,121,1331,1331,143,143,363,363,363,1210,363,132,242,242,242,242,121,121,
121,121,121,242,121,1,1,10,1,11,363,242,121,1,1,11,22,11,22,110,22,22,1,11,22,
11,11,11,11,11,11,22,1,1,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,363,
3993,121,1331,2662,2662,23,110,11,11,110,121,1331,1331,143,143,363,363,363,
1210,363,11,11,121,121,121,121,121,121,121,121,1210,121,121,121,121,121,121,
121,121,1,1,10,11,11,110,363,121,121,121,1,1,11,22,11,22,110,22,22,11,11,11,
11,11,11,11,11,110,11,11,11,11,1,1,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,121,1210,1815,253,2178,1210,605,121,726,1452,1452,12,1210,1210,1815,726,132,
605,726,1210,605,726,12,132,132,132,132,132,1210,726,132,132,132,132,132,132,
121,605,1,1,132,10,15,132,121,1,6,12,12,10,5,1,6,12,12,10,10,15,6,5,6,10,5,6,
10,6,1,5,1],[1,121,1210,1815,253,2178,1210,605,121,726,1452,1452,12,1210,1210,
1815,726,132,605,726,1210,605,726,132,12,132,132,132,132,1210,726,132,132,132,
132,132,132,121,605,1,1,132,10,15,132,121,1,6,12,12,10,5,1,6,12,12,10,10,15,6,
5,6,10,5,6,10,6,1,5,1],[1,363,1331,363,3993,363,3993,7986,7986,23,110,3993,
3993,143,143,110,363,1331,363,3993,143,143,363,363,363,1210,363,1331,143,143,
363,363,363,363,363,363,363,363,1210,363,363,363,363,363,363,363,363,1,1,10,
363,363,363,363,363,363,1,1,22,22,110,363,11,11,363,363,363,1,1,11,22,11,22,
110,22,22,363,1,1,11,22,11,22,22,22,22,22,22,22,22,22,110,22,22,22,22,22,22,1,
11,11,11,22,11,22,22,22,1,1,1,11,11,1,11,11,22,22,1,1,1,1,1,1,11,11,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,121,6655,6655,7986,6655,
6655,7986,144,1320,6655,13310,7986,132,1452,6655,6655,1452,1452,1452,1452,
2662,1,12,120,1,132,55,55,132,66,55,55,66,132,121,12,55,110,66,12,55,55,12,12,
22,1],[1,121,6655,6655,7986,6655,6655,7986,144,1320,6655,13310,7986,132,1452,
6655,6655,1452,1452,1452,1452,2662,12,1,120,1,132,55,55,66,132,55,55,66,132,
121,12,55,110,66,12,55,55,12,12,22,1],[1,1573,6655,7986,6655,7986,6655,26620,
6655,6655,19965,7986,15972,15972,144,1320,6655,13310,13310,19965,7986,7986,
7986,264,1584,1320,2904,6655,6655,6655,6655,7986,2904,6655,6655,1452,1452,
1452,1452,1452,1452,1452,1452,2662,1,12,120,1452,1452,1,12,132,264,1320,55,55,
66,132,132,66,55,220,55,55,165,132,66,132,132,132,132,121,12,55,110,110,165,
66,132,66,66,121,12,12,12,55,55,55,55,66,12,55,55,12,12,12,12,22,12,1,1],[1,
1573,6655,7986,6655,7986,6655,26620,6655,6655,19965,7986,15972,15972,144,1320,
6655,13310,13310,19965,7986,7986,7986,1584,264,1320,2904,6655,6655,6655,6655,
7986,2904,6655,6655,1452,1452,1452,1452,1452,1452,1452,1452,2662,12,1,120,
1452,1452,12,1,264,132,1320,55,55,132,66,66,132,55,220,55,55,165,66,132,132,
132,132,132,121,12,55,110,110,165,132,66,66,66,121,12,12,12,55,55,55,55,66,12,
55,55,12,12,12,12,22,12,1,1],[1,121,6655,6655,1573,23958,6655,6655,121,7986,
15972,15972,144,1320,6655,13310,6655,6655,7986,132,1452,6655,6655,7986,6655,
6655,7986,264,1584,2904,2904,2904,14520,2904,6655,13310,7986,132,1452,1452,
1452,1452,1452,1452,1452,1452,1452,1452,1452,2662,6655,6655,1,12,120,1,132,
2904,55,55,1452,1452,2662,12,1,132,264,66,132,1320,132,264,55,55,1,66,132,132,
132,132,132,132,132,132,121,12,55,110,55,55,66,12,55,55,66,132,55,55,66,132,
121,12,12,12,12,12,12,55,110,66,12,12,12,12,12,12,22,55,55,12,12,22,1,1],[1,
121,6655,6655,1573,23958,6655,6655,121,7986,15972,15972,144,1320,6655,13310,
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55,55,66,12,55,55,132,66,55,55,66,132,121,12,12,12,12,12,12,55,110,66,12,12,
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66,132,132,264,66,132,66,66,132,264,121,12,12,12,55,55,55,55,132,66,55,220,55,
55,66,165,12,55,55,132,66,132,264,132,121,12,12,12,12,12,12,55,110,110,165,66,
66,132,66,121,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,22,55,55,
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20,20,21,22,22,22,22,24,24,24,24,24,25,30,30,40,40,40,40,44,48,48,50,50,55,55,
55,55,55,55,55,57,60,60,60,60,75,80,100,100,100,110,110,110,110,110,110,110,
110,110,110,110,110,110,110,110,110,110,110,110,120,120,120,120,120,121,121,
121,133,150,168,200,220,220,220,220,220,220,240,240,242,242,242,242,242,275,
300,363,363,399,484,484,484,484,550,550,550,600,600,605,605,605,605,605,605,
605,605,605,660,726,726,726,726,968,968,968,968,968,968,1100,1210,1210,1210,
1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,1210,
1210,1210,1210,1210,1210,1320,1320,1331,1452,1452,1452,1452,1452,1452,1815,
1815,1936,1936,2420,2420,2420,2420,2420,2420,2420,2420,2420,2420,2420,2420,
2420,2420,2640,2662,2662,2662,2904,2904,2904,2904,2904,2904,2904,2904,3025,
3025,3630,3630,3630,3630,4840,4840,4840,4840,4840,4840,4840,4840,5324,5808,
5808,5808,5808,6050,6050,6050,6050,6050,6050,6600,6655,6655,6655,6655,6655,
6655,7260,7260,7260,7260,7260,7260,9680,9680,12100,12100,12100,12100,12100,
12100,13200,13310,13310,13310,13310,13310,13310,13310,13310,13310,13310,13310,
13310,13310,13310,13310,13310,13310,13310,14520,14520,14520,14520,14520,14520,
14520,14520,14520,14520,24200,24200,26620,26620,26620,26620,26620,26620,29040,
29040,29040,29040,33275,66550,66550,66550,72600,72600,133100,159720,159720,
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109,42,129,109,65,110,109,102,68,150,110,109,102,70,258,257,150,150,150,82,
150,62,109,93,92,66,100,68,129,102,102,257,258,150,150,150,150,150,150,150,
150,82,150,150,150,150,150,150,150,150,128,109,109,110,109,314,313,274,120,
100,101,102,150,150,150,150,150,150,109,110,314,313,257,258,165,150,129,297,
296,120,297,296,289,288,150,150,150,128,129,313,314,288,258,289,257,165,257,
258,175,297,296,250,249,296,297,298,299,251,252,150,313,314,288,258,289,257,
258,257,257,257,257,258,258,258,165,258,257,258,257,258,257,253,254,259,175,
306,296,297,285,284,287,286,297,296,252,251,296,297,288,289,289,257,288,258,
289,288,288,289,258,257,259,306,306,306,296,297,297,296,299,298,296,297,289,
288,297,296,249,250,296,297,299,298,289,288,252,251,306,299,298,297,296,289,
288,258,257,253,254,259,306,306,306,306,306,306,296,297,287,286,284,285,251,
252,289,288,289,288,289,288,259,306,306,306,306,306,306,306,306,306,306,306,
306,306,306,306,306,306,306,305,304,297,296,299,298,296,297,296,297,288,289,
306,306,306,306,306,306,296,297,298,299,306,306,306,306,304,305,306,314,313,
314,313,314,313,313,314,315],
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1,8,8,11,1,24,1,1,3,2,1,15,2,19,40,21,1,7,19,19,19,19,19,20,1,27,1,3,3,66,43,
5,1,7,7,19,19,19,19,19,19,19,19,19,19,20,19,19,19,19,19,19,19,1,91,8,8,11,1,1,
1,1,1,67,101,15,19,19,19,19,19,19,21,40,96,97,19,19,20,19,69,97,96,99,97,96,
96,97,19,19,19,91,117,97,96,97,97,96,96,98,19,19,139,97,96,118,119,96,97,111,
112,112,111,19,97,96,97,97,96,96,97,96,96,96,96,97,97,97,98,97,96,19,19,97,96,
134,132,174,139,19,96,97,118,119,118,119,97,96,122,121,96,97,97,96,96,96,97,
97,134,132,132,134,97,96,174,96,97,176,141,140,97,96,147,146,141,140,96,97,97,
96,119,118,96,97,112,111,155,153,111,112,176,209,210,178,177,96,97,97,96,134,
132,174,97,96,176,176,176,176,96,97,118,119,119,118,121,122,134,132,134,132,
96,97,174,96,97,176,176,176,176,176,176,176,176,176,176,176,176,176,176,176,
176,278,279,97,96,147,146,141,140,141,140,153,155,176,176,176,176,176,176,177,
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[( 1, 57, 39)( 2,132,121)( 3,113, 48)( 4, 75, 56)( 5,108, 91)
( 6,131, 25)( 7,127,119)( 8, 47,103)( 9, 53, 92)( 10,105, 54)( 11,125,115)
( 12,124, 64)( 13, 82, 69)( 14, 24, 84)( 15, 60, 87)( 16, 36,111)( 17,123, 49)
( 18,120, 79)( 19, 27,102)( 20, 34, 37)( 21, 45, 40)( 22,122, 98)( 23, 93, 74)
( 26, 76, 43)( 28,100, 41)( 29, 42, 67)( 30, 50,126)( 31, 72,133)( 32, 62, 83)
( 33, 78, 65)( 35, 94,117)( 38, 96, 73)( 44, 66, 88)( 46, 81,107)( 52,110, 90)
( 55, 63,114)( 58,129,112)( 59, 68,104)( 61, 95, 97)( 70, 80, 71)( 77, 85, 86)
( 89,109,116)( 99,101,106)(118,130,128),( 1, 53, 83, 2, 55, 17, 84, 3, 31,
5, 9)( 4, 96,103,129,113, 43,104, 90, 71, 48, 25)( 6, 91, 63,101,110,
66, 46, 99, 78, 86, 89)( 7, 81,105, 47, 61, 70,123, 94, 44,121, 10)
( 8, 80,124, 15, 74,106, 45, 72,133, 28, 50)( 11,119, 41,117, 75, 18, 51, 64,
108, 38,114)( 12,116, 36, 68, 98, 92, 26, 67,100, 54,109)( 13, 23, 19, 95,
34, 77, 32,125,112, 29,130)( 14,107, 30, 59, 88, 79,102,120, 39, 40, 76)
( 20, 24,131, 52,122,127, 57,111, 60, 87, 35)( 27, 85,118, 37,115, 58, 97, 82,
42, 62, 93)],
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7,1,6,1,7,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[
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1,-1,2,2,1,-1,2,-1],[4,2],[6,1,5,-2,4,1,5,1,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,
3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,1,4,1,5,1],[6,1,4,-2,6,-1]]],[[[1,1,2,
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1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,-1,4,2,5,
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1,-1,2,-1],[4,1,5,-2,4,-2,5,-2]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,1,1,2,-2,3,1],[
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2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,1],[5,2,6,3,5,1]],[[2,3,1,1,2,-1,1,-1],[
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1],[6,2,5,3,6,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,
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-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,
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1,1,-1,2,2,1,-1,2,-1],[4,2],[6,1,5,-2,6,1,5,-1,4,1,5,1]]],[[[2,3,1,1,2,-1,1,
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1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,2,5,-2,4,-1,5,1,4,-1,5,
1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[6,
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1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[4,1,5,1],[7,1,6,
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1,2,1,1,1,2,-1],[4,2],[4,1,5,1],[7,1,6,1,7,-1,5,-1,6,-1]]],[[[1,1,2,1],[1,-1,
3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[5,2],[6,1,7,-2,6,-1]],[[
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-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[5,3,4,1,5,-1]]],[[[2,3,1,1,2,-1,1,-1],[
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1,-1,2,-1],[5,1,4,-1,5,1,4,1,5,1,4,2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[4,-1,
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1,-1,2,2,1,-1,2,-1],[4,2],[4,1,5,1,6,-1,5,1,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,
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-1],[3,2],[4,1,2,1,1,-1,2,-1,1,-1,2,2,1,-1],[5,2,4,-2]]],[[[2,3,1,1,2,-1,1,
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2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[5,1,4,1,5,1,4,-1]]],[[[1,1,2,
1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[5,2,4,1,6,1,5,
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2],[5,1,4,1,5,1,6,-1,5,1,6,1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,
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2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[5,1,4,1,5,1],[
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2,2,1,-1,2,-1],[5,2],[4,2,6,2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,
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-2]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[5,3,4,1,5,
1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,2,5,3]]],[[[1,1,
2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,3,4,1,5,1]],[[1,1,
2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2,5,3]]],[[[1,1,2,
1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,2,4,2,5,2]],[[1,
1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,1,4,-1,5,1,4,
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1,5,1,4,1,5,-2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,
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1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,1,
5,2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,
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1,5,2]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,-1,4,1,
5,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,
2],[6,1,5,1,4,1,5,3,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,
2,1,-1,2,-1],[5,2,4,1,5,-2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,
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1,5,4,4,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,
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-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,-1],[5,1,6,-2]],[[2,3,1,1,2,-1,1,
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1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,1,5,-1,4,
-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[
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3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,1,4,1,5,1]]],[[[1,1,
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1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,1,4,1,5,1]]],[[[
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1,-1,2,-1],[4,-2,5,-2,4,1,5,-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,
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1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[5,2],[6,1,4,-2,6,
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2,1,-1,2,-1],[5,2,4,-1,5,-2,4,-2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[4,1,2,1,
1,1,2,-2,1,1,2,-1,1,1],[5,2,4,-2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,
1,-1,2,2,1,-1,2,-1],[5,1,4,1],[6,1,5,-1,6,-1,5,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,
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1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,1,5,1]]],[[[2,3,
1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,-1,4,-2,5,1,4,-1,5,
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1,4,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,-1,
5,1,4,-1,5,1]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[5,2,
4,-1,5,-1,4,2]],[[2,3,1,1,2,-1,1,-1],[3,2],[4,2],[2,1,1,-1,2,-1,1,-1,2,2,1,-1,
4,1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,-1,5,1,4,-1,5,
1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,
-2,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,-2,
5,1,4,-1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[4,1,1,-1,2,1,1,-1,2,2,1,-1,2,
-1,4,-2]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,
1,5,1,4,2,5,1,4,-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,
2,-1,4,1]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1],[4,1,5,1,
4,2,5,1,4,-1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1,4,
1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,2],[6,
1,5,-2,6,-2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[
5,1,4,1,5,-1,4,1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,
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1,2,-1],[5,4,4,-1]],[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,2,-1,4,
2]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,4,4,
-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1,4,2]]],[[[
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-1,1,-1],[3,2],[4,-2,1,1,2,-2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,
3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,
-1],[4,-2,1,-1,2,1,1,-1,2,2,1,-1,2,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,
-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,-1,4,1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,
-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,
2,4,1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,1,4,
-1,5,1,4,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,
-1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,
1,-1,2,-1],[5,3,4,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,
-1,2,-1],[4,1,5,-1,4,1,5,2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1]]],[[[1,1,2,1],[
1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,1,4,-2,5,1]],[[1,1,2,
1],[1,-1,3,-1,2,-2,3,-1]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,
2,-1],[5,1,4,-2,5,1]],[[2,3,1,1,2,-1,1,-1],[3,2]]],[[[1,1,2,1],[1,-1,3,-1,2,
-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,2,4,1,5,1,4,-1,5,1]],[[1,1,2,1],[1,
-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[4,1,5,-1,4,1,5,2]],[[1,1,2,
1],[1,-1,3,-1,2,-2,3,-1]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[1,1,2,-2,1,1,2,1,1,1,
2,-1],[5,1,4,-1,5,1,4,1]],[[1,1,2,-2,1,1,2,1,1,1,2,-1],[3,-2]]],[[[1,1,2,1],[
1,-1,3,-1,2,-2,3,-1],[1,-1,2,1,1,-1,2,2,1,-1,2,-1],[5,1,4,-1,5,1,4,1]],[[1,-1,
2,1,1,-1,2,2,1,-1,2,-1],[3,-2]]],[[[2,3,1,1,2,-1,1,-1],[3,2],[4,1,2,1,1,-1,2,
-1,1,-1,2,2,1,-1,4,-1]],[[2,1,1,-1,2,-1,1,-1,2,2,1,-1]]],[[[1,1,2,1],[1,-1,3,
-1,2,-2,3,-1],[4,1,2,1,1,1,2,-2,1,1,2,-1,1,1,4,-1]],[[2,1,1,1,2,-2,1,1,2,-1,1,
1]]],[[[1,1,2,-2,1,1,2,1,1,1,2,-1],[3,2]],[[2,3,1,1,2,-1,1,-1],[3,2]]],[[[1,
-1,2,1,1,-1,2,2,1,-1,2,-1],[3,2]],[[1,1,2,1],[1,-1,3,-1,2,-2,3,-1]]],[[[1,1,2,
1],[1,-1,3,-1,2,-2,3,-1]],[[1,-1,2,1,1,-1,2,2,1,-1,2,-1]]],[[[2,3,1,1,2,-1,1,
-1],[3,2]],[[1,1,2,-2,1,1,2,1,1,1,2,-1]]],[[[1,1]],[[2,1]]]]);
AFLT( "L3(4)","L3(4).2_2",[1,3,4,10,12,12,9,7,8,8,5,9,6,14,17,18,28,28,21,23,
22,33,36,36,31,37,38,40,43,42,39,43,42,41,47,46,48,49,49,62,50,58,62,51,52,57,
53,57,58,67,70,78,73,75,77,77,78,82,86,91,87,91,95,95,94,99,98,102,102,100,
105,104,108,108,106,107,107,109,118,120,119,124,121,134,133,136,135,136,137,
144,144,143,148,147,151] );
AFLT( "L3(4)","M22",[1,2,3,9,9,8,7,5,5,4,4,6,7,10,12,13,20,19,16,20,15,24,23,
24,18,26,27,30,33,32,34,34,31,32,38,39,41,40,41,46,48,48,45,43,46,43,50,42,47,
55,57,61,62,65,66,64,62,77,72,76,71,77,83,84,82,86,87,89,88,89,100,98,99,101,
97,98,96,104,109,111,112,116,114,124,125,126,127,128,132,141,139,140,148,147,
155] );
AFLT( "L3(4)","U4(3)",[1,2,4,11,10,11,7,9,7,9,7,8,8,12,18,19,24,25,22,25,23,
27,27,26,21,34,40,44,45,43,46,47,47,47,56,57,59,59,58,62,63,61,64,66,64,65,67,
66,63,73,85,96,95,97,94,98,94,129,133,129,132,128,140,141,142,155,156,162,163,
163,189,193,192,188,191,190,192,196,205,209,208,234,233,262,263,277,274,278,
285,313,318,319,348,349,377] );
AFLT( "L3(4)","U4(3)",[1,2,4,10,11,11,8,7,9,9,7,8,7,12,18,19,25,25,22,24,23,
26,27,27,21,35,40,47,45,44,47,46,43,47,56,57,58,59,59,64,61,63,64,65,62,66,67,
66,63,72,85,96,94,94,98,97,95,128,133,129,132,129,144,143,139,155,156,163,163,
162,193,192,189,188,193,191,190,196,206,209,208,234,233,262,263,275,278,276,
285,321,320,312,348,349,376] );
AFLT( "L3(4)","L3(4).3",[1,2,5,9,9,9,8,7,7,7,6,8,8,10,11,13,16,16,14,16,15,18,
18,18,17,19,22,28,27,28,27,27,28,25,31,30,32,32,32,36,34,34,36,35,36,35,33,35,
34,37,39,46,46,47,47,47,46,52,50,52,51,52,53,53,53,57,58,62,62,62,66,64,66,66,
65,65,65,68,69,71,70,72,73,78,79,80,80,80,82,91,91,91,96,95,99] );
AFLT( "L3(4)","L3(4).2_3",[1,2,4,10,10,9,8,8,6,7,5,7,6,12,15,16,20,17,19,20,
19,27,23,27,25,28,29,35,34,34,33,35,33,32,38,38,40,39,40,48,48,46,44,43,46,43,
42,41,44,53,56,59,57,60,57,59,60,67,65,62,65,67,70,68,70,72,72,74,73,74,78,75,
77,76,77,76,78,79,82,85,85,86,86,91,91,92,93,93,94,97,96,97,100,100,101] );
AFLT( "L3(4)","L3(4).2_1",[1,3,4,11,10,9,6,8,6,7,5,7,8,14,16,18,19,20,28,21,
28,36,39,32,38,40,41,43,45,45,43,44,44,42,48,48,51,50,49,58,59,58,57,53,59,54,
52,55,57,74,77,78,80,80,79,78,79,86,92,83,92,85,98,97,102,104,104,105,106,107,
111,108,109,110,111,110,109,112,120,126,126,127,127,134,134,136,137,135,138,
142,144,143,149,149,150] );
AFLT( "L3(3)","L3(3).2",[1,2,4,5,7,9,13,13,12,14,17,24,20,26,26,27,28,29,33,
35,41,41,44,44,43,46,48,52,54,54,55,55,57,59,62,64,64,65,65,67,67,66,66,72,73,
73,74,74,76,76,77] );
AFLT( "L3(3)","L3(9)",[1,2,3,4,7,6,9,10,11,12,18,15,20,22,23,27,35,34,36,45,
48,50,53,52,54,62,66,74,86,88,93,94,95,99,112,118,119,143,142,144,145,131,133,
171,182,181,206,205,235,236,367] );
#############################################################################
#############################################################################
##
#E