GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmmath.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmmath.tom,v 4.3 2001/07/05 07:05:41 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St. Andrews, Scotland
##
## This file contains the table of marks of the Mathieu groups excluding
## $M24$.
##
#H tomlib history
#H --------------
#H $Log: tmmath.tom,v $
#H Revision 4.3 2001/07/05 07:05:41 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.3 of tomlib coincides with Rev. 4.2 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmmath.tom,v
#H Working file: tmmath.tom
#H head: 4.2
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.2.0.10
#H GAP4R2PRE2: 4.2.0.8
#H GAP4R2PRE1: 4.2.0.2
#H GAP4R1: 4.2.0.6
#H GAP4B5: 4.2.0.4
#H dec16-98b: 4.2
#H GAP4b4: 4.2
#H version-14-apr: 4.2
#H version-15-jun: 4.2
#H keyword substitution: kv
#H total revisions: 3; selected revisions: 3
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1998/03/27 15:21:41; author: gap; state: Exp; lines: +16 -2
#H added some more fusions
#H T.Merkwitz
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:53:12; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:55; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmmath_tom :=
"@(#)$Id: tmmath.tom,v 4.3 2001/07/05 07:05:41 gap Exp $";
SetActualLibFileName("tmmath");
LIBTOM( "M11",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,6],[1,2,3,7],[1,2,3,8],[1,2,3,9],[1,2,5,
10],[1,2,5,11],[1,2,4,5,12],[1,3,13],[1,2,6,14],[1,15],[1,2,3,4,16],[1,2,3,4,
7,8,9,17],[1,2,4,5,10,11,12,18],[1,2,3,8,13,19],[1,2,3,7,9,13,20],[1,2,5,6,14,
21],[1,2,3,5,9,10,22],[1,2,3,4,5,8,12,16,23],[1,2,3,5,8,13,19,24],[1,2,3,5,8,
13,19,25],[1,2,3,4,7,8,9,13,17,19,20,26],[1,2,3,4,5,7,8,9,10,11,12,17,18,22,
27],[1,6,15,28],[1,2,3,4,6,7,14,16,29],[1,2,3,4,6,8,14,16,30],[1,2,3,5,8,10,
13,19,24,25,31],[1,2,3,4,5,7,8,9,12,13,17,19,20,24,26,32],[1,2,3,5,8,11,13,19,
24,33],[1,2,3,4,5,6,7,8,9,12,14,16,17,21,23,29,34],[1,2,3,4,5,7,8,9,10,11,12,
13,17,18,19,20,24,25,26,31,32,33,35],[1,2,3,4,5,6,8,12,13,14,16,19,23,25,30,
36],[1,2,3,4,6,7,8,9,14,15,16,17,28,29,30,37],[1,2,3,4,5,6,8,10,11,12,13,14,
16,18,19,21,23,24,25,30,31,36,38],[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]],
0,[[1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,
1],[1,1,1,1],[1,5,2,1,1],[1,4,1],[1,5,1,1],[1,1],[1,3,4,1,1],[1,7,1,3,1,1,1,
1],[1,5,2,3,1,1,1,1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,5,5,1,1,1],[1,1,4,3,4,
1,1],[1,9,4,4,3,4,3,1,1],[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],[1,13,4,6,3,4,4,4,1,3,3,4,3,1,1],[1,11,1,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,9,4,27,12,9,1,1,1,2,1],[1,21,4,18,9,4,12,12,9,1,
12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,25,10,20,15,6,10,10,10,15,6,5,10,6,5,
1,1],[1,21,4,18,27,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,45,40,30,45,36,
120,45,10,36,30,10,30,10,12,1],[1,55,55,55,66,55,55,55,66,12,55,55,12,11,11,
1],[1,45,40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,
165,220,330,495,396,220,660,660,165,495,495,55,396,144,330,660,495,55,220,396,
165,330,55,110,110,165,144,66,132,55,55,55,66,55,11,12,11,1]],
[1,2,3,4,4,5,6,6,6,8,8,8,9,10,11,12,12,16,18,18,20,24,24,36,36,36,48,55,60,60,
72,72,72,120,144,360,660,720,7920],
[39,27,26,23,18,21,26,17,17,27,18,18,35,21,28,23,17,18,35,26,21,27,23,35,31,
32,27,28,34,30,35,35,35,34,35,38,37,38,39],
[1,1,1,1,1,1,3,3,1,2,1,2,1,6,1,4,3,5,13,3,6,10,16,13,13,13,22,15,29,30,19,19,
13,29,24,36,37,36,39],
[( 1, 2)( 3, 5)( 4, 9)( 6,10),( 1, 3, 4, 7)( 2,12,10,11)],
[[[[]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,
3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,
1],[3,1,2,1,3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,-2]]],[[[1,
1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,
-2]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,3,2,1,1,2,1,1,
1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,-2,1,1,2,-1,3,2,
2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,
2,-1,3,1]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,2,2,-2,1,
1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1]]],[[[2,
-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-2]]],[[[1,1,2,
1],[3,2,2,-2,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]]],[[[2,1,1,1,2,-2,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,-1,1,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,
1]]],[[[1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[3,2,2,-2,1,
1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-2,3,
1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,2,2,1,
1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
1],[3,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2,3,1]]],[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,
1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
2,2,-1,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[2,-2],[
3,1,1,1,2,-2,1,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-2,3,2,2,
1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,
1,2,-1,1,1,2,-1,1,1,2,-1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[2,-2,3,
-2,2,-1,1,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,-1,
1,1,3,1]]],[[[1,1,2,-1,1,1,2,1]],[[2,-2,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,-1,1,
1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,-2]],[[1,1,2,-2,1,1]],[[1,1,2,-1,
1,1,2,1,1,1]]],[[[1,1,2,-1,1,1]],[[1,1,2,1],[2,-1,3,2]]],[[[1,1]],[[2,1]]]]);
ACLT( "M11",
"sortperm",( 4, 7,10,15, 5, 6)( 8, 9)(11,14,12,16,18,22,24,26,25,27,30,29,28,
13)(19,20)(31,32)(35,36,37));
ACLT( "M11",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]],[[2,1,1,1],[3,2,2,-1,1,1]]],,,[[[1,1]],[[2,1,1,1,2,-2,1,1,2,1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,3,3,2,1,1,1]]]]);
LIBTOM( "M12",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,3,7],[1,3,8],[1,2,9],[1,3,10],[1,2,3,
11],[1,12],[1,3,5,13],[1,2,4,14],[1,3,5,15],[1,2,4,16],[1,3,5,17],[1,3,4,18],[
1,3,6,19],[1,3,7,20],[1,3,7,21],[1,3,6,22],[1,2,3,9,11,23],[1,2,3,7,11,24],[1,
2,3,6,11,25],[1,3,6,7,8,26],[1,3,6,10,27],[1,2,3,6,7,11,28],[1,2,3,7,8,11,
29],[1,2,3,8,11,30],[1,2,3,6,8,11,31],[1,3,8,10,32],[1,3,7,10,33],[1,5,34],[1,
5,35],[1,4,5,36],[1,2,12,37],[1,3,12,38],[1,2,12,39],[1,40],[1,2,5,9,41],[1,2,
4,9,14,42],[1,3,4,8,43],[1,3,5,10,44],[1,2,4,9,45],[1,2,4,9,14,16,46],[1,2,3,
4,11,14,16,18,47],[1,3,5,10,13,15,17,48],[1,3,6,7,8,26,49],[1,2,3,6,7,8,10,11,
26,29,30,31,32,50],[1,2,3,6,7,8,11,22,25,26,28,31,51],[1,3,6,7,8,19,26,52],[1,
3,6,7,8,10,26,27,32,33,53],[1,2,3,6,7,8,11,21,24,26,28,29,54],[1,3,6,7,8,20,
26,55],[1,3,7,10,20,21,33,56],[1,2,3,6,7,8,9,11,23,24,25,28,29,30,31,57],[1,2,
3,6,10,11,19,25,27,58],[1,3,6,10,19,22,27,59],[1,2,3,7,10,11,20,24,33,60],[1,
3,5,17,34,61],[1,3,5,15,35,62],[1,3,5,13,15,34,63],[1,3,5,13,17,35,64],[1,3,4,
5,13,18,36,65],[1,2,3,11,12,37,38,39,66],[1,3,6,12,38,67],[1,3,7,12,38,68],[1,
2,3,4,9,11,14,16,18,23,42,46,47,69],[1,3,5,6,10,15,27,44,70],[1,2,3,4,8,11,14,
30,43,71],[1,2,3,4,7,8,11,16,29,43,72],[1,3,5,7,10,17,33,44,73],[1,3,5,8,10,
13,32,44,74],[1,3,5,7,13,21,75],[1,2,3,4,6,8,11,16,31,43,76],[1,3,5,6,13,22,
77],[1,2,3,5,9,11,13,23,41,78],[1,4,5,34,35,36,79],[1,2,3,6,7,8,10,11,26,27,
29,30,31,32,33,49,50,53,80],[1,2,3,6,7,8,9,10,11,21,22,23,24,25,26,28,29,30,
31,32,50,51,54,57,81],[1,2,3,6,7,8,10,11,19,22,25,26,27,28,31,32,33,51,52,53,
58,59,82],[1,2,3,6,7,8,10,11,20,21,24,26,27,28,29,32,33,53,54,55,56,60,83],[1,
2,3,6,7,8,11,19,21,24,26,28,29,49,52,54,84],[1,2,3,6,7,8,10,11,19,20,26,29,30,
31,32,50,52,55,85],[1,2,3,6,7,8,11,20,22,25,26,28,31,49,51,55,86],[1,3,5,6,15,
35,62,87],[1,3,5,7,17,34,61,88],[1,3,5,10,13,15,17,35,48,62,64,89],[1,3,5,10,
13,15,17,34,48,61,63,90],[1,2,4,5,9,14,36,41,42,45,91],[1,2,3,6,7,11,12,28,37,
38,39,66,67,68,92],[1,3,4,6,7,8,26,43,49,93],[1,2,3,4,6,7,8,9,11,14,16,23,24,
25,28,29,30,31,43,46,57,71,72,76,94],[1,3,5,6,10,13,15,17,19,22,27,48,59,77,
95],[1,3,5,7,10,13,15,17,20,21,33,48,56,75,96],[1,3,5,6,7,8,10,13,15,17,26,27,
32,33,44,48,53,70,73,74,97],[1,3,4,5,13,15,34,35,36,62,63,79,98],[1,3,4,5,13,
17,34,35,36,61,64,79,99],[1,3,4,5,13,15,17,18,34,35,36,63,64,65,79,100],[1,12,
40,101],[1,3,4,8,12,18,38,43,102],[1,3,5,10,12,15,38,44,103],[1,3,5,10,12,17,
38,44,104],[1,2,4,9,12,16,39,45,105],[1,2,3,6,7,8,9,10,11,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,49,50,51,52,53,54,55,56,57,58,59,60,80,81,82,83,84,
85,86,106],[1,3,5,7,17,21,34,61,88,107],[1,3,5,6,15,22,35,62,87,108],[1,3,5,7,
17,20,34,61,88,109],[1,3,5,7,10,13,15,17,33,34,48,61,63,88,90,110],[1,3,5,6,
15,19,35,62,87,111],[1,3,5,6,10,13,15,17,27,35,48,62,64,87,89,112],[1,2,3,4,5,
9,11,13,14,16,18,23,36,41,42,45,46,47,65,69,78,91,113],[1,2,3,4,6,7,8,10,11,
14,26,27,29,30,31,32,33,43,49,50,53,71,80,93,114],[1,2,3,5,6,7,8,9,10,11,13,
21,22,23,24,25,26,28,29,30,31,32,41,44,50,51,54,57,74,75,77,78,81,115],[1,2,3,
4,6,7,8,11,16,20,22,25,26,28,31,43,49,51,55,76,86,93,116],[1,2,3,4,6,7,8,11,
16,19,21,24,26,28,29,43,49,52,54,72,84,93,117],[1,3,4,5,10,13,15,17,18,34,35,
36,48,61,62,63,64,65,79,89,90,98,99,100,118],[1,2,3,4,6,8,11,12,14,16,18,31,
38,43,47,67,76,102,119],[1,2,3,4,8,11,12,14,16,18,30,37,38,39,43,47,66,71,102,
120],[1,2,3,4,7,8,11,12,14,16,18,29,38,43,47,68,72,102,121],[1,3,5,6,10,12,13,
15,17,27,38,44,48,67,70,104,122],[1,3,5,7,10,12,13,15,17,33,38,44,48,68,73,
103,123],[1,3,5,7,10,13,15,17,20,21,33,34,48,56,61,63,88,90,107,109,110,124],[
1,3,5,6,10,13,15,17,19,22,27,35,48,59,62,64,87,89,108,111,112,125],[1,2,3,4,6,
7,8,9,10,11,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,43,46,49,50,51,
52,53,54,55,56,57,58,59,60,71,72,76,80,81,82,83,84,85,86,93,94,106,114,116,
117,126],[1,2,3,5,6,7,8,9,10,11,13,15,17,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,41,44,48,49,50,51,52,53,54,55,56,57,58,59,60,70,73,74,75,77,78,80,81,
82,83,84,85,86,95,96,97,106,115,127],[1,3,4,5,7,13,17,21,34,35,36,61,64,75,79,
88,99,107,128],[1,3,4,5,6,13,15,22,34,35,36,62,63,77,79,87,98,108,129],[1,2,3,
4,6,7,8,9,11,12,14,16,18,23,24,25,28,29,30,31,37,38,39,42,43,46,47,57,66,67,
68,69,71,72,76,92,94,102,119,120,121,130],[1,3,5,7,10,12,17,33,34,38,44,61,73,
88,104,131],[1,3,5,6,10,12,15,27,35,38,44,62,70,87,103,132],[1,3,4,5,6,10,13,
15,17,18,19,22,27,34,35,36,48,59,61,62,63,64,65,77,79,87,89,90,95,98,99,100,
108,111,112,118,125,129,133],[1,3,4,5,7,10,13,15,17,18,20,21,33,34,35,36,48,
56,61,62,63,64,65,75,79,88,89,90,96,98,99,100,107,109,110,118,124,128,134],[1,
2,4,9,12,14,16,39,40,45,46,101,105,135],[1,3,5,10,12,13,15,17,38,40,44,48,101,
103,104,136],[1,3,5,6,10,12,15,19,22,27,35,38,44,59,62,67,70,87,103,108,132,
137],[1,3,5,6,7,8,10,12,13,15,17,26,27,32,33,35,38,44,48,53,62,64,68,70,73,74,
87,89,97,103,112,123,132,138],[1,2,3,5,6,10,11,12,15,19,25,27,35,37,38,39,44,
58,62,66,70,87,103,111,132,139],[1,3,5,6,7,8,10,12,13,15,17,26,27,32,33,34,38,
44,48,53,61,63,67,70,73,74,88,90,97,104,110,122,131,140],[1,3,5,7,10,12,17,20,
21,33,34,38,44,56,61,68,73,88,104,107,131,141],[1,2,3,5,7,10,11,12,17,20,24,
33,34,37,38,39,44,60,61,66,73,88,104,109,131,142],[1,2,3,5,6,7,8,10,11,12,13,
15,17,19,22,25,26,27,28,31,32,33,35,37,38,39,44,48,51,52,53,58,59,62,64,66,67,
68,70,73,74,82,87,89,92,97,103,108,111,112,123,125,132,137,138,139,143],[1,2,
3,5,6,7,8,10,11,12,13,15,17,20,21,24,26,27,28,29,32,33,34,37,38,39,44,48,53,
54,55,56,60,61,63,66,67,68,70,73,74,83,88,90,92,97,104,107,109,110,122,124,
131,140,141,142,144],[1,3,5,7,10,12,13,15,17,20,21,33,34,38,40,44,48,56,61,63,
68,73,75,88,90,96,101,103,104,107,109,110,123,124,131,136,141,145],[1,3,5,6,
10,12,13,15,17,19,22,27,35,38,40,44,48,59,62,64,67,70,77,87,89,95,101,103,104,
108,111,112,122,125,132,136,137,146],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,3,1],[1,3,1],[1,2,1,
1],[1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,1,1,1],[1,1,3,1],[1,1,3,1],[1,6,1,4,3,1],[1,4,1,1,2,1],[1,4,1,1,2,1],[1,
3,1,1,1,1],[1,5,1,2,1],[1,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,4,3,1,6,1],[1,2,3,1,
1,1,1],[1,7,3,4,1],[1,5,1,2,1],[1,4,1],[1,4,1],[1,3,1,1],[1,1,1,1],[1,5,1,1],[
1,5,1,1],[1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,7,1,3,1,2,1],[1,4,3,1,3,1,1,1,1],[1,7,1,3,1,1,1,1],[1,3,3,3,1,3,1],[1,4,7,1,
1,3,4,6,1,2,1,2,1,1],[1,4,3,3,1,1,2,1,1,1,2,2,1],[1,3,1,1,1,2,1,1],[1,11,1,1,
5,8,1,2,2,2,1],[1,4,3,1,3,1,2,1,1,1,2,2,1],[1,3,1,1,1,2,1,1],[1,5,3,2,1,1,1,
1],[1,8,3,1,1,1,4,8,1,1,1,1,1,1,1,1],[1,4,5,1,2,2,1,1,1,1],[1,5,3,2,1,1,1,1],[
1,4,5,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,3,4,3,1,1,1],[1,3,4,3,1,
1,1],[1,3,3,1,3,1,1,1],[1,6,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,12,
3,1,10,9,3,3,1,3,1,3,3,1],[1,9,4,3,4,4,3,1,1],[1,4,3,4,1,6,4,1,1,1],[1,6,3,4,
3,1,3,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,7,4,3,4,4,1,1,1],[1,1,4,3,4,1,1],[1,6,3,
4,3,1,3,4,3,1,1],[1,1,4,3,4,1,1],[1,6,1,4,4,3,4,1,1,1],[1,6,7,1,1,2,1],[1,4,
15,3,3,7,12,6,3,6,6,1,6,3,6,1,3,3,1],[1,12,7,3,3,3,8,4,18,1,1,2,3,3,3,6,6,3,6,
1,3,3,3,6,1],[1,4,11,3,1,5,8,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,11,1,3,5,8,
2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,4,3,3,5,1,2,2,1,1,3,2,2,1,1,1,1],[1,4,7,1,
1,3,4,6,2,2,1,2,1,2,1,1,1,1,1],[1,4,3,5,3,1,2,2,1,1,3,2,2,1,1,1,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,15,4,9,6,12,2,1,6,1,2,1],[1,15,4,9,6,2,12,1,6,
1,2,1],[1,3,9,4,1,3,4,1,1,2,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,3,16,3,3,1,
3,4,1,1],[1,16,3,4,3,3,1,12,12,4,8,3,3,3,3,3,1,3,1,4,3,1,1,1,1],[1,13,4,3,6,4,
4,4,3,1,3,4,3,1,1],[1,13,4,3,6,4,4,4,3,1,3,4,3,1,1],[1,19,4,3,3,9,16,4,4,4,3,
6,4,6,1,4,3,1,1,1,1],[1,9,6,7,9,12,1,1,2,1,3,1,1],[1,9,6,7,9,12,1,1,2,1,3,1,
1],[1,9,6,7,9,3,3,6,1,1,2,3,3,6,1,1],[1,11,1,1],[1,15,10,5,6,10,6,5,1],[1,15,
10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,12,15,5,5,7,
8,12,18,2,2,1,1,2,3,3,5,6,6,10,3,10,3,6,1,5,3,1,3,3,1,2,6,2,2,2,1,1,1,1,1,1,1,
1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,9,12,9,1,1,1,1],[1,
21,4,9,18,12,4,12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,21,4,9,18,12,12,
4,9,1,12,1,4,1,2,1],[1,12,3,9,4,10,9,12,3,3,1,3,4,1,1,2,3,3,4,1,3,1,1],[1,4,
15,16,3,3,7,12,6,16,3,6,6,1,6,3,6,4,1,3,3,4,1,1,1],[1,12,7,16,3,3,3,8,4,18,16,
1,1,2,3,3,3,6,6,3,6,1,8,4,3,3,3,6,4,4,4,8,1,1],[1,12,3,16,9,3,1,6,16,6,3,3,3,
6,6,4,1,3,3,4,3,1,1],[1,12,3,16,3,9,1,6,16,6,3,3,3,6,6,4,1,3,3,4,3,1,1],[1,27,
6,7,27,27,15,15,6,1,1,2,27,1,1,6,6,6,1,3,3,1,1,1,1],[1,10,15,10,15,5,15,6,10,
10,10,15,6,5,10,6,5,1,1],[1,16,15,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,
10,15,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,10,10,10,15,6,
5,10,6,5,1,1],[1,25,10,15,20,6,10,10,10,15,6,5,10,6,5,1,1],[1,21,4,27,18,12,4,
12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,21,4,27,18,12,12,4,9,9,9,1,12,9,1,4,3,2,1,
1,1,1],[1,28,15,16,9,9,7,24,12,42,16,32,6,6,3,3,6,9,9,9,6,18,18,7,18,3,6,4,16,
1,9,9,3,3,9,3,6,18,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,12,31,16,9,9,
15,8,28,18,16,16,16,6,6,1,1,2,3,3,9,18,6,18,3,18,7,18,8,4,16,3,9,3,3,9,3,3,6,
6,6,6,6,4,4,4,4,4,8,3,1,3,3,3,3,3,4,4,4,3,1,1],[1,9,24,16,27,36,12,9,1,4,8,1,
12,9,4,3,4,1,1],[1,9,24,16,27,36,12,9,4,1,8,1,12,9,4,3,4,1,1],[1,36,15,10,15,
15,5,40,60,6,30,30,10,15,15,15,15,15,5,15,6,6,6,10,5,30,30,15,6,6,6,10,5,5,5,
6,5,1,1,1,1,1],[1,45,40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,45,
30,36,120,45,10,36,30,10,30,10,12,1],[1,45,24,16,27,54,72,24,48,24,27,9,27,4,
1,8,72,27,4,1,24,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,45,24,16,27,54,72,
48,24,24,27,9,27,1,4,8,72,27,1,4,12,24,24,9,4,3,12,6,9,4,4,4,1,3,3,4,3,1,1],[
1,55,55,55,66,55,110,66,12,55,55,12,22,1],[1,55,55,55,66,55,55,55,66,12,55,55,
12,11,11,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,
1],[1,75,40,45,45,45,120,36,120,120,40,45,90,30,90,10,36,30,120,45,10,40,36,
30,30,30,10,20,30,12,10,12,1,1],[1,36,45,40,45,30,90,36,120,45,45,45,10,36,36,
36,30,45,10,36,30,10,12,10,1,1],[1,75,40,45,45,45,120,36,120,40,120,45,90,30,
90,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,40,135,30,
36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,1],[1,36,45,40,45,30,90,36,
120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,36,75,40,135,45,45,
120,90,36,120,120,40,90,45,45,45,90,90,90,30,90,10,36,36,36,30,120,45,45,45,
90,90,10,40,36,36,36,30,30,30,45,30,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,
36,75,40,45,135,45,120,90,36,120,40,120,90,45,45,45,90,90,90,30,90,10,36,36,
36,30,120,45,45,45,90,90,10,40,36,36,36,30,30,30,45,30,20,36,30,12,10,10,10,
12,10,1,1,1,1,1],[1,165,220,495,330,396,660,220,660,495,165,495,55,396,144,
330,660,495,55,220,396,330,165,165,110,165,144,66,132,55,55,55,66,55,11,12,11,
1],[1,165,220,495,330,396,660,660,220,495,165,495,55,396,144,330,660,495,55,
220,396,330,165,165,110,165,144,132,66,55,55,55,66,55,11,12,11,1],[1,396,495,
1320,880,1485,1485,495,1320,1980,2970,2376,7920,3960,2640,3960,2640,1320,2970,
2970,495,495,990,1485,1485,1485,2970,2970,2970,495,2970,495,2970,220,220,1760,
2376,2376,2376,1728,1320,1320,1980,1980,2640,3960,3960,7920,495,1485,1485,
1485,1485,1485,1485,2970,2970,2970,2970,2970,220,220,2640,2640,5280,2376,2376,
2376,1320,1980,1980,1980,1980,1980,1980,1980,1980,3960,880,495,495,1485,1485,
1485,1485,1485,660,660,1320,1320,1320,2376,495,1980,1980,1980,1980,880,880,
880,1728,396,792,792,1584,1485,220,220,660,660,660,660,1320,495,495,495,495,
880,396,396,396,792,792,660,660,495,495,220,220,396,66,66,220,220,144,144,66,
66,66,66,66,66,66,66,12,12,1]],
[1,2,2,3,3,4,4,4,4,4,4,5,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,
10,10,11,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,
18,18,20,20,20,24,24,24,24,24,24,24,24,24,24,27,32,32,32,32,32,32,32,36,36,36,
36,36,40,48,48,48,48,48,54,54,54,55,60,60,60,60,64,72,72,72,72,72,72,72,96,96,
96,96,108,120,120,120,120,120,144,144,192,192,216,216,240,360,360,432,432,660,
660,720,720,720,720,720,720,1440,1440,7920,7920,95040],
[147,130,127,113,118,106,106,126,113,97,81,92,48,69,90,69,89,113,82,83,127,
127,115,106,106,106,82,81,81,126,81,127,83,134,133,100,92,92,92,101,113,113,
94,97,91,69,69,48,126,106,106,106,106,106,106,83,81,82,82,83,134,133,90,89,65,
92,92,92,113,97,94,94,97,97,96,94,95,78,118,126,127,106,106,106,106,106,125,
124,112,110,113,92,126,94,95,96,97,118,118,118,101,130,123,122,105,106,134,
133,124,124,125,125,113,126,127,126,126,118,130,130,130,122,123,124,125,126,
127,134,133,130,144,143,133,134,135,136,143,143,143,144,144,144,143,144,145,
146,147],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,5,4,1,1,3,3,1,3,3,1,3,1,3,1,3,1,3,1,1,1,1,12,
12,1,9,1,8,10,9,4,4,5,1,3,3,3,3,3,3,7,3,6,6,7,34,35,5,5,4,12,12,12,4,44,8,43,
44,10,21,43,22,9,5,8,3,6,7,7,8,6,35,34,35,34,9,12,49,43,77,75,44,35,34,79,40,
102,103,104,105,26,61,62,34,61,35,62,42,49,81,93,93,79,102,102,102,104,103,88,
87,93,115,107,108,102,131,132,129,128,135,136,132,132,132,131,131,131,132,131,
145,146,147],
[( 4, 7)( 5, 6)( 8,12)( 9,11),( 1, 7, 5)( 2,12, 3)( 4,10, 8)( 6,11, 9)],
[[[[]]],[[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,-1,4,1,3,1,4,
-1]]],[[[1,1]]],[[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,-1,4,1,3,
-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,
-1],[6,1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,
1],[5,1,2,1,1,1,2,-1,5,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,
-1,3,1,1,1,4,1],[1,1,5,-3,1,1,5,3,1,1]]],[[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1,3,-1,4,-1,3,-1,4,1,3,-1,4,1]],[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,1,3,-1,4,-1,5,1,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,
1,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,
2,-1,3,1,1,1,4,1],[5,1,2,1,1,1,2,-1],[6,1,5,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,-3]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,1,1,1,2,1,1,1],[6,1,5,2,6,1]]],[[[2,-1],[1,
1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,-1,5,-1,4,-1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1]]],[[[2,-1],[1,1,2,-1,1,1,2,1,1,
1,2,1,1,1],[4,-1,3,-1,4,1,3,-1,4,1,3,-1,4,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2,1,1,5,-2,1,1]]],[[[2,-1],[1,1,2,-1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,-1,4,1,3,-1,4,1]],[[2,-1],[1,1,2,-1,1,1,2,1,1,
1,2,1,1,1],[3,-1],[3,1,4,1,5,1,4,-1,3,1,4,-1,5,-1]]],[[[2,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[
5,-2,6,1,7,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,
-1,3,-2,2,1,1,1,2,1],[5,-3]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,
2,1,1,1,2,1],[1,1,2,1,1,1],[6,1,5,-3,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[1,1,
2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,1],[3,1,6,-1,7,1,3,1,6,-1,7,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2],[6,1,1,1,5,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,-3,1,1,5,2,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[5,1,1,
1],[1,1,5,-1,6,1,7,1,6,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,
-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[6,1,7,2,5,-1,6,1]],[[1,1,2,1],[2,1,
1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[6,1,5,-1,
7,-1,6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,
1],[5,-3]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[1,1,
2,1,1,1],[6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,
1,1,2,1],[1,1,2,1,1,1],[5,1,6,1,5,2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,1,1,2,-1,3,1,1,1,4,1],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,
3,1,1,1,4,1],[1,1,5,1],[5,1,1,1,5,-1],[6,1,7,1,6,-1,7,1]]],[[[1,1,2,1],[2,1,1,
1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,
7,1,9,-1,8,-1,6,-1,2,-1],[5,1,10,1,5,-1,10,1,5,-2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[6,1,1,1,5,1,6,-1,5,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,1,1,1,5,-2,
6,-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[
5,-1,2,1,1,1,2,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,
4,1],[2,1,1,1,2,-1],[5,1,6,1],[7,1,5,-1,6,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,-2,1,1,5,4,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,-2,5,1,1,1,5,-1,6,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[5,1,1,1],[1,1,5,
-1,6,1,7,1,6,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,1,5,-1,2,
-1,6,1,4,-1,5,1],[7,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,
-1,4,2,3,-1,5,-1],[6,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,
-1,4,2,3,-1,5,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[10,1,8,1,9,-1,2,-1,10,
1,8,-1,9,1],[6,1,11,-1,6,2,11,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,
1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[6,1,7,2,5,-1,6,1]],[[1,1,2,1],[
2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,
1],[8,1,7,1,6,1,8,2,7,1,6,1,5,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[6,1,5,-1,1,1,6,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,-3,1,1,5,3,1,1]]],[[[1,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,-2,5,1,1,1,
5,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2,1,
1,5,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,
1],[5,1,1,1],[5,1,7,-1,6,1,7,1,6,-1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,
1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1],[6,1,3,-1,5,1,6,1,3,-1,5,1]],[[2,
1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1],[3,
-1,5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,
3,-2,2,1,1,1,2,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,
1,1,1,2,1],[1,1,2,1,1,1],[6,1,5,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,
1,1,2,-1,3,1,1,1,4,1],[1,1,5,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,
1,2,-1,3,1,1,1,4,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,
1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[7,1,5,1,6,1,5,-1,6,1,7,1]]],[[[2,-1],[1,1,
2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,-1,5,-1,4,-1,5,1]],[[2,-1],[1,1,2,-1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1,3,-1,4,1,3,1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,
1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[1,1,2,1,1,
1],[6,-1,5,-2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,
1,2,1],[5,2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,
1,1,1,2,1],[1,1,2,1,1,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,
-1],[5,2]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2,1,1,5,-2,1,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[1,1,5,-2,6,
1,5,2,1,1,6,1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,1,3,1]],[[2,-1],[1,
1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,-1,4,1,3,1,4,-1]]],[[[2,-1],[1,1,2,-1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,-1,4,1,3,-1,4,-1]],[[2,-1],[1,1,2,-1,1,1,2,1,
1,1,2,1,1,1],[3,-1,4,1,3,-1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,1,1,-1,2,-1,1,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,-3]]],[[[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,-1,4,1,1,1,2,-1,4,1,1,
1],[3,1,5,1],[6,2,3,1,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,
4,1,5,-1,2,-1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,
1,5,-1,4,2,3,-1,5,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[10,1,8,1,9,-1,2,
-1,10,1,8,-1,9,1],[6,1,11,-1,6,-1,11,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2],[6,1,4,1,5,-1,2,-1,6,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,5,-1],[6,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,5,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[10,
1,8,1,9,-1,2,-1,10,1,8,-1,9,1],[6,1,11,1,6,-1,11,-1,6,-2]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[6,1,7,2,5,
-1,6,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,
-1],[5,1,6,1],[6,1,5,-1,7,-1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,
1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,1],[7,1,6,1,8,2,7,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[
7,1,6,1,5,1,6,1,5,-1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,
1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,1],[7,1,8,-1,6,1,8,2,7,1,6,1]]],[[[1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[6,1,5,
-1,1,1,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,
1,5,1],[6,-2,5,1,1,1,5,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,
-1,3,1,1,1,4,1],[5,1,1,1],[6,1,5,-1,1,1,6,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,-3,1,1,5,2,1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,-2,5,1,1,1,5,-1,6,-2]]],[[[1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[6,-2,
5,-1,1,1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1],[5,1,1,1],[6,1,1,1,5,1,6,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,
2,-1,3,1,1,1,4,1],[5,1,1,1,5,-2,1,1,5,2]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,
-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,
-1,2,-1],[5,1,10,1,5,-1,10,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,
-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,
3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,
1,1,2,-1],[5,1,6,1],[6,1,7,1,5,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,
1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,1],[8,1,7,1,8,-1,6,1,8,1,7,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,1,3,1],[7,
1,6,-1,3,1,7,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,
1],[3,1,6,-1],[6,-1,7,2,3,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,
-1,3,1,1,1,4,1],[5,-5]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1],[5,2],[6,1,1,1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,
1,1,4,1],[5,2,1,1,5,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,
1,1,4,1],[5,1,1,1,5,2,1,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,
1,1,1,4,1],[1,1,5,1],[6,1,1,1,6,-1,5,1,1,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,-1],[
1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1],[5,1,6,1,3,1,6,1]],[[
2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1],[3,
-1,5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,
3,1,1,1,4,1],[5,2,1,1,5,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,
3,1,1,1,4,1],[1,1,5,1],[5,1,1,1,5,-1,6,1,5,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1],[7,1,5,-1,7,-1,6,1,
7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,
-1],[5,1,6,1],[7,1,5,-1,6,1,5,1,7,-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],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,
1,3,1],[3,-1,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1],[5,2,1,1,5,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1],[1,1,5,1],[5,1,1,1],[6,1,7,1,5,1,7,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[5,1,6,1,1,1,5,1,6,1,5,-2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1,5,2,1,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,1,5,2,1,1,5,-1,
6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[1,-1,
2,-1,1,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,
1],[5,1,1,-1,2,-1,1,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,
1,1,2,1],[5,-3]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,
1,4,1],[1,1,5,-2,1,1,5,4,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,
-1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,-1],[1,1,2,1],[1,1,2,
-1],[7,2,6,1,1,1,2,-1,1,1,6,-1,7,-1],[8,1,5,2,8,-2,5,-1]]],[[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
1,2,-1,4,-1],[1,1,2,1],[1,1,2,-1],[7,2,6,1,1,1,2,-1,1,1,6,-1,7,-1],[5,1,8,1],[
8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-1,2,
1,1,1,2,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,
1,1,1,2,-1],[5,1,6,1],[6,1,7,3,5,-1,6,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,1,5,2,1,1,5,-1,6,-1,5,-1]]],[[[2,
1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,1,3,-1,5,1,
3,-1]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,
1,5,1],[5,1,6,1,3,1,6,-1,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,
4,-1],[5,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,-1],[1,1,2,1],[1,1,2,
-1],[7,2,6,1,1,1,2,-1,1,1,6,-1,7,-1],[5,1,8,1,5,2,8,-1]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,1],[6,-1,7,1,3,1,6,-1,7,2]],[[
2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,-1,3,1,6,-1,3,1,6,
-1,3,1,6,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[1,1,2,1,1,
1],[6,1,5,1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,
1],[3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[
6,1,3,1],[6,1,7,2,6,1,7,-1,3,1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,
-1],[5,1,10,1,5,1,10,1]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,-1],[10,1,5,1,
10,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-3]]],[[[1,1,2,1],[2,1,1,
1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,
7,1,9,-1,8,-1,6,-1,2,-1],[10,1,5,-3,10,1]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,
-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,
-1,2,-1],[5,1,10,1,5,2]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-3]],[[1,1,
2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,
-1,7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,-1],[5,2,10,1,5,-1,10,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-1,2,1,1,1,2,-1,5,1]],[[1,1,2,
1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[7,1,
6,1,5,1,6,1,5,-1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,
1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,1],[7,1,8,-1,6,1,8,2,7,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-5]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2],[6,1,1,1,5,1,6,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1],[6,1,5,-1,1,1,6,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,1,5,-1,2,-1,6,1,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,5,-1],[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[10,1,8,1,9,-1,2,-1,10,1,8,-1,9,1],[6,1,11,
-1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-3]],[[1,1,2,1],[2,1,1,1,
3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,
1,9,-1,8,-1,6,-1,2,-1],[10,1,5,1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,
-1],[5,1,10,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,
4,1,6,-1,5,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,
1,1,4,1],[2,1,1,1,2,-1],[6,1,5,1,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,
-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[6,1,5,-1,6,1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1,1,1,5,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2,1,1,5,-2,1,1]]],[[[2,1,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,1,3,1],[5,1,6,-1,3,-1,
6,1]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,
5,1],[5,1,6,1,3,1,6,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1],[5,-1,2,
-1,1,1,2,1,5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[
6,1,3,1],[7,1,6,-1,3,1,7,1]]],[[[1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1],[5,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,
1,2,-1,3,1,1,1,4,1],[1,1,5,-1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,
-1,3,1,1,1,4,1],[5,1,1,1],[5,1,6,1,1,1,5,1,6,1,5,-2]]],[[[1,1,2,1],[2,1,1,1,3,
-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,
9,-1,8,-1,6,-1,2,-1],[10,1,5,1,10,1,5,1]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,
-2],[5,2]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-3]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,3,-1,2,-1]],[[1,1,2,1],[
2,1,1,1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,
9,-1,7,1,9,-1,8,-1,6,-1,2,-1],[5,1,10,1,5,-1]]],[[[2,-1,1,1,2,1]],[[2,-1,1,1,
2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,1,3,1,6,1,3,1,6,-1,3,1,6,
-1]],[[2,-1,1,1,2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,1,3,1],[7,
1,6,-1,3,1,7,1,6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1],[4,1,2,1,1,
-1,2,1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,
4,1,1,1],[5,1,3,1],[3,-1,6,1,5,1,3,-1,6,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2],[1,1,5,1,6,1,1,1,5,-1,6,-1]]],[[[2,-1,1,1,
2,1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,-1,3,1]],[[2,-1,1,1,2,
1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,-1,3,1,6,-1,3,1,6,-1]]],[[[1,
1,2,1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1],[5,-1,2,-1,1,1,2,1,5,1]],[[2,-1,1,1,2,
1],[1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,-1,3,1]]],[[[1,1,2,1],[1,
1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,
1,1,1,2,-1,4,1,1,1],[5,1,3,1],[3,-1,6,2]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[
1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1,3,-1,5,1,3,1,5,1,3,-1]]],[[[1,1,2,-1,
1,1,2,1,1,1,2,1,1,1,2,1]],[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[4,-1,3,-1,4,
-1,3,-1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,-1],[5,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,1,2,-1,4,-1],[1,1,2,1],[1,1,2,-1],[7,2,6,1,1,1,2,-1,1,1,6,-1,7,
-1],[8,1,5,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,
1],[2,1,1,1,2,-1],[5,-2,6,1,5,1,6,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,
-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,1,6,1,5,-2,6,1,5,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,2,1,1,5,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1],[6,1,1,1,5,-1,6,-2]]],[[[
2,1]],[[2,-1],[1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,-1,4,-1]]],[[[1,1,
2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,
-1,7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,-1],[5,1,10,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,
1,3,-2],[2,-1,4,-2],[5,-3]]],[[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,
1,1,1,2,-1,4,1,1,1],[5,1,3,1,5,1,3,1]],[[2,1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,
1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,1,3,-1,5,1,3,-1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,1,3,1,6,1]]],[[[2,1,1,1,2,-1,1,1,2,
-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,-1,5,1,3,-1]],[[2,1,1,1,2,-1,
1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,1,3,-1,5,1,3,-1,5,
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],[1,
1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,-1,5,1,3,1,5,1,3,-1]]],[[[1,1,2,1],[
1,1,2,-1],[4,2,3,2,1,1,2,1,1,1],[5,-1,2,-1,1,1,2,1,5,-1]],[[2,-1,1,1,2,1],[1,
1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,-1,3,1,6,-1,3,1]]],[[[1,1,2,
1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1],[5,-1,2,-1,1,1,2,1,5,1]],[[2,-1,1,1,2,1],[
1,1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[6,1,3,1,6,1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,-2,2,1,1,1,2,1]],[[1,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1,3,-2],[2,-1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,
7,1,9,-1,7,1,9,-1,8,-1,6,-1,2,-1],[10,1,5,1,10,1]],[[1,1,2,1],[2,1,1,1,3,-2],[
2,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,
5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,1,5,-1,2,-1,6,1,4,-1,5,
1],[7,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,5,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[10,1,8,1,9,-1,2,-1,10,1,8,-1,9,1],[
11,1,6,1,11,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,3,-1,2,-1]]],[[[1,
1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2],[5,-2]],[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,
-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[6,2],[2,-1,8,-1,7,1,9,-1,7,1,9,-1,8,-1,6,
-1,2,-1],[10,1,5,1]]],[[[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],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[3,1,5,1,3,-1]],[[2,
1,1,1,2,-1,1,1,2,-1],[1,1,2,1],[1,1,2,-1,4,1,1,1,2,-1,4,1,1,1],[5,1,3,1],[3,
-1,6,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
4,1,2,-1,4,-1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,4,-1],[1,1,2,
1],[1,1,2,-1],[7,2,6,1,1,1,2,-1,1,1,6,-1,7,-1],[5,1,8,-1]]],[[[1,1,2,1],[1,1,
2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,
-1,4,-1],[5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[
1,1,5,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,1,1,1,5,
-1,1,1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,
1,2,1,1,1,2,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,
1],[5,-2],[6,1,2,1,1,1,2,-1,6,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,-3,1,1,5,2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[5,-2],[5,1,6,1],[
7,1,8,-2,6,1,8,1,7,1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[2,-1,4,-2]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[3,2],[2,-1,5,-1,4,1,6,-1,4,1,6,-1,5,-1,3,-1,2,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,2,3,-1,5,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,1,5,-1,2,-1,6,1,4,-1,5,1]]],[[[2,1,1,-1,2,1,
1,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1],[4,1,2,1,1,1,2,-1,1,1,
2,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1]],[[2,-1,1,1,2,1],[1,
1,2,1],[1,1,2,-1],[5,2,4,2,1,1,2,1,1,1],[3,1,6,-1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,1,1,2,-1,1,1,3,-1,
4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1,1,1,5,1]]],[[[1,
1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-2]],[[1,1,2,1],[2,1,
1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,1,1,1,2,-1],[6,1,5,1,6,1,5,
-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1]]],[[[2,1,
1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,1,2,-1,3,1,5,1,6,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2],[5,1,4,-1,5,-1,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,
1,1,1,3,1,4,-1,5,1,4,1,1,1],[6,2],[7,-2]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,2,1,
4,-1],[5,-1,1,1,5,1],[2,1,1,1],[1,1,2,-1],[7,1,2,-1],[9,1,1,1,7,1,8,-1,9,1,8,
1,1,1],[10,2],[6,1,11,-2,6,1]],[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,2,1,4,-1],[5,
-1,1,1,5,1],[2,1,1,1],[1,1,2,-1],[7,1,2,-1],[9,1,1,1,7,1,8,-1,9,1,8,1,1,1],[
10,2],[6,1,11,-1,6,1,11,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,
-1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,-1,3,1,1,1,4,1],[2,
1,1,1,2,-1],[6,1,5,1,6,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,
4,-1,1,1,2,-1,3,1,1,1,4,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,1,1,2,
-1,3,1,1,1,4,1],[5,1,2,1,1,1,2,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,
-1,1,1,2,-1,3,1,1,1,4,1],[5,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,
-1,1,1,2,-1,3,1,1,1,4,1],[5,-1,2,1,1,1,2,-1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[5,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,
1,1,2,-1,3,1,1,1,4,1],[5,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,
1,2,-1,3,1,1,1,4,1],[5,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,
1,1,1,4,1],[1,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,1,1,2,-1,3,1,1,1,4,1],[1,1,5,1,1,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,3,1,1,1,2,1,1,1,4,-1,5,1,4,2,3,1]],[[
1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,1,
1,2,-1,4,-1,1,1,3,-1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,-1,2,1,
1,1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,4,-1,2,1,4,-1],[5,-1,1,1,5,1]],[[2,1,1,1],[
1,1,2,-1],[3,1,2,-1],[5,1,1,1,3,1,4,-1,5,1,4,1,1,1],[6,2]]],[[[2,1,1,1],[1,1,
2,-1],[3,1,2,-1],[3,1,4,-1,5,1,3,1,1,1,3,1,4,-1,3,1,5,1],[6,-1,1,1,6,1]],[[2,
1,1,1],[1,1,2,-1],[3,1,2,-1],[1,1,4,-1,3,1,5,1,4,1,3,-1,5,1,4,1,3,-1],[6,
2]]],[[[1,1]],[[2,1]]]]);
ACLT( "M12",
"sortperm",( 6, 7)( 8, 9)( 15, 18, 16)( 19, 20)( 21, 32, 24, 26, 22, 33,
30, 25, 27, 31, 29, 28)( 34, 35, 36)( 38, 39)( 41, 47, 42)( 43, 45, 46)
( 44, 48)( 50, 51, 56, 57)( 52, 60, 53)( 54, 55, 59, 58)( 61, 64, 63, 62, 65)
( 66, 68)( 70, 73, 72, 71, 76)( 74, 78, 77, 75)( 80, 83, 84, 82, 85, 86, 81)
( 87, 91)( 88, 90)( 95, 97)( 98, 99)(103,105)(107,111,110)(108,112)
(115,117,116)(119,122)(120,123)(133,134)(135,136)(137,142,139,140)(143,144));
ACLT( "M12",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,2,3,-2,2,-1],[5,3]],[[2,1]]]]);
LIBTOM( "M12.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,3,7],[1,2,8],[1,2,3,9],[1,4,10],[1,4,
11],[1,2,4,12],[1,3,4,13],[1,4,14],[1,4,15],[1,2,16],[1,17],[1,4,6,18],[1,2,6,
19],[1,3,6,20],[1,3,5,21],[1,4,5,22],[1,2,6,23],[1,3,6,24],[1,4,5,25],[1,2,4,
10,12,26],[1,3,4,10,13,27],[1,4,10,11,28],[1,2,4,8,12,29],[1,2,3,4,7,9,12,13,
30],[1,4,15,31],[1,4,10,15,32],[1,4,10,14,33],[1,2,4,12,15,34],[1,2,4,12,16,
35],[1,2,4,12,15,36],[1,2,3,7,8,16,37],[1,2,3,8,9,16,38],[1,2,4,10,12,15,39],[
1,4,11,15,40],[1,3,4,11,13,14,41],[1,4,15,42],[1,5,43],[1,5,6,44],[1,4,17,
45],[1,2,17,46],[1,3,17,47],[1,2,17,48],[1,3,17,49],[1,50],[1,2,5,8,51],[1,4,
5,11,52],[1,4,6,10,53],[1,2,6,8,54],[1,2,6,8,23,55],[1,2,3,6,7,23,24,56],[1,2,
3,6,9,20,23,57],[1,2,6,8,19,23,58],[1,2,3,6,9,19,20,24,59],[1,2,4,6,12,18,19,
23,60],[1,3,4,6,13,18,20,24,61],[1,3,4,5,13,21,25,62],[1,4,5,11,22,25,63],[1,
2,6,16,23,64],[1,2,6,16,23,65],[1,4,5,14,25,66],[1,2,3,4,7,9,10,12,13,26,27,
30,67],[1,4,10,15,32,68],[1,4,10,14,15,32,33,69],[1,4,10,11,14,28,33,70],[1,2,
4,10,12,14,26,33,71],[1,2,4,10,12,16,26,35,72],[1,4,10,11,14,28,33,73],[1,3,4,
10,13,14,15,27,32,33,74],[1,2,3,4,7,9,12,13,15,16,30,34,35,75],[1,4,10,11,15,
28,32,40,76],[1,2,4,10,11,12,15,26,28,32,39,77],[1,3,4,10,11,13,14,27,28,33,
41,78],[1,2,4,8,10,12,15,26,29,34,36,39,79],[1,2,3,4,7,8,9,12,13,16,29,30,35,
37,38,80],[1,4,10,15,32,42,81],[1,2,4,10,12,15,31,32,34,36,39,82],[1,4,11,15,
31,40,42,83],[1,2,4,11,12,15,36,40,42,84],[1,4,5,22,43,85],[1,3,5,6,20,21,44,
86],[1,4,5,22,25,43,87],[1,3,5,6,21,24,44,88],[1,4,5,6,18,25,44,89],[1,2,4,12,
17,45,46,48,90],[1,3,4,13,17,45,47,49,91],[1,2,3,9,17,47,48,92],[1,2,3,9,17,
46,47,49,93],[1,2,3,7,17,48,49,94],[1,4,15,17,45,95],[1,2,16,17,46,96],[1,3,
50,97],[1,2,3,5,7,8,16,21,37,51,98],[1,2,3,5,8,9,16,21,38,51,99],[1,3,4,5,11,
13,14,21,41,52,100],[1,2,4,6,10,12,15,19,39,53,101],[1,4,5,11,15,22,40,52,
102],[1,2,3,6,8,9,16,20,38,54,103],[1,2,4,6,8,12,18,19,23,29,55,58,60,104],[1,
2,3,4,6,7,9,12,13,18,19,20,23,24,30,56,57,59,60,61,105],[1,2,4,6,10,12,23,26,
53,106],[1,3,4,6,10,13,24,27,53,107],[1,4,5,10,11,25,28,52,108],[1,2,4,5,8,12,
25,29,51,109],[1,2,3,6,8,9,16,19,20,23,38,57,58,65,110],[1,3,4,5,11,13,14,21,
22,25,41,62,63,66,111],[1,2,3,6,7,8,16,19,23,24,37,56,58,64,112],[1,2,3,6,8,9,
16,20,23,38,55,57,64,113],[1,2,3,6,7,8,16,23,24,37,55,56,65,114],[1,4,5,15,25,
31,115],[1,2,4,6,12,16,18,19,23,35,60,64,65,116],[1,5,6,43,44,117],[1,2,4,8,
10,11,12,15,26,28,29,31,32,34,36,39,77,79,82,118],[1,2,4,10,11,12,15,26,28,32,
39,40,68,76,77,119],[1,3,4,10,13,14,15,27,32,33,68,69,74,120],[1,2,4,10,11,12,
15,26,28,32,39,42,77,81,121],[1,2,4,10,11,12,14,15,26,28,32,33,39,73,77,122],[
1,2,4,10,11,12,15,16,26,28,32,35,39,72,77,123],[1,2,4,8,10,12,14,15,16,26,29,
33,34,35,36,39,71,72,79,124],[1,2,4,10,11,12,14,15,26,28,32,33,39,69,70,71,73,
77,125],[1,2,3,4,7,9,10,11,12,13,14,15,26,27,28,30,32,33,39,41,67,71,74,77,78,
126],[1,2,3,4,7,8,9,10,12,13,15,16,26,27,29,30,34,35,36,37,38,39,67,72,75,79,
80,127],[1,2,4,10,12,15,31,32,34,36,39,42,68,81,82,128],[1,3,4,10,11,13,14,15,
27,28,32,33,40,41,69,70,73,74,76,78,129],[1,2,4,10,11,12,15,28,31,32,34,36,39,
40,42,76,81,82,83,84,130],[1,4,5,15,22,43,85,131],[1,2,5,6,8,23,44,51,54,55,
132],[1,4,5,11,22,25,43,63,85,87,133],[1,3,4,5,6,13,18,20,21,24,25,44,61,62,
86,88,89,134],[1,2,4,12,15,17,34,45,46,48,90,95,135],[1,2,4,12,16,17,35,45,46,
48,90,96,136],[1,2,3,4,7,9,12,13,17,30,45,46,47,48,49,90,91,92,93,94,137],[1,
4,6,10,15,32,53,68,138],[1,2,4,6,10,12,16,23,26,35,53,64,72,106,139],[1,2,3,4,
6,7,9,10,12,13,23,24,26,27,30,53,56,67,106,107,140],[1,3,4,5,10,11,13,14,21,
25,27,28,33,41,52,62,78,100,108,141],[1,2,4,6,8,10,12,15,19,23,26,29,34,36,39,
53,58,79,101,106,142],[1,4,5,10,11,15,22,25,28,32,40,52,63,76,102,108,143],[1,
2,3,4,5,7,8,9,12,13,16,21,25,29,30,35,37,38,51,62,80,98,99,109,144],[1,4,5,10,
11,14,25,28,33,52,66,70,108,145],[1,4,5,11,15,22,25,31,40,42,63,83,115,146],[
1,2,3,4,6,7,8,9,12,13,16,18,19,20,23,24,29,30,35,37,38,55,56,57,58,59,60,61,
64,65,80,104,105,110,112,113,114,116,147],[1,4,5,6,18,22,25,43,44,87,89,117,
148],[1,4,5,6,22,25,43,44,85,87,117,149],[1,3,5,6,20,21,24,43,44,86,88,117,
150],[1,17,50,151],[1,4,6,10,17,18,45,53,152],[1,4,5,11,17,22,45,52,153],[1,2,
6,8,17,19,46,54,154],[1,2,4,8,10,11,12,14,15,26,28,29,31,32,33,34,36,39,69,70,
71,73,77,79,82,118,122,125,155],[1,2,3,4,7,9,10,11,12,13,14,15,26,27,28,30,32,
33,39,40,41,67,68,69,70,71,73,74,76,77,78,119,120,125,126,129,156],[1,2,3,4,7,
9,10,11,12,13,14,15,26,27,28,30,32,33,39,41,42,67,71,73,74,77,78,81,121,122,
126,157],[1,2,4,10,11,12,14,15,16,26,28,32,33,35,39,42,69,70,71,72,73,77,81,
121,123,125,158],[1,2,4,10,11,12,14,15,16,26,28,32,33,35,39,40,68,72,73,76,77,
119,122,123,159],[1,2,4,8,10,11,12,15,26,28,29,31,32,34,36,39,40,42,68,76,77,
79,81,82,83,84,118,119,121,128,130,160],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,67,71,72,74,75,77,78,79,80,82,
118,123,124,126,127,161],[1,4,5,15,22,31,43,85,131,162],[1,4,5,15,22,42,43,85,
131,163],[1,2,3,5,6,8,9,16,20,21,23,38,44,51,54,55,57,64,86,99,103,113,132,
164],[1,4,5,11,15,22,25,40,43,63,85,87,131,133,165],[1,2,4,5,6,8,12,18,19,23,
25,29,44,51,54,55,58,60,89,104,109,132,166],[1,2,3,5,6,7,8,16,21,23,24,37,44,
51,54,55,56,65,88,98,114,132,167],[1,2,3,4,7,9,12,13,15,16,17,30,34,35,45,46,
47,48,49,75,90,91,92,93,94,95,96,135,136,137,168],[1,2,4,6,10,11,12,15,23,26,
28,32,39,40,53,68,76,77,106,119,138,169],[1,2,4,5,8,10,11,12,15,25,26,28,29,
31,32,34,36,39,51,52,77,79,82,108,109,115,118,170],[1,2,4,6,10,12,15,19,31,32,
34,36,39,42,53,68,81,82,101,128,138,171],[1,3,4,6,10,13,14,15,24,27,32,33,53,
68,69,74,107,120,138,172],[1,2,3,4,6,7,8,9,10,12,13,15,16,19,23,24,26,27,29,
30,34,35,36,37,38,39,53,56,58,64,67,72,75,79,80,101,106,107,112,127,139,140,
142,173],[1,3,4,5,10,11,13,14,15,21,22,25,27,28,32,33,40,41,52,62,63,66,69,70,
73,74,76,78,100,102,108,111,129,141,143,145,174],[1,3,4,5,6,13,18,20,21,22,24,
25,43,44,61,62,86,87,88,89,117,134,148,150,175],[1,4,5,6,11,18,22,25,43,44,63,
85,87,89,117,133,148,149,176],[1,4,5,6,14,18,22,25,43,44,66,87,89,117,148,
177],[1,3,17,49,50,97,151,178],[1,2,4,6,10,12,17,18,19,23,26,45,46,48,53,60,
90,106,152,179],[1,3,4,6,10,13,17,18,20,24,27,45,47,49,53,61,91,107,152,180],[
1,2,4,6,10,12,15,17,18,19,23,39,45,53,60,95,101,152,181],[1,4,5,11,15,17,22,
25,40,45,52,63,95,102,153,182],[1,2,3,6,8,9,16,17,19,20,24,38,46,54,59,96,103,
154,183],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,118,
119,120,121,122,123,124,125,126,127,128,129,130,155,156,157,158,159,160,161,
184],[1,2,3,4,5,6,7,8,9,12,13,16,18,19,20,21,23,24,25,29,30,35,37,38,44,51,54,
55,56,57,58,59,60,61,62,64,65,80,86,88,89,98,99,103,104,105,109,110,112,113,
114,116,132,134,144,147,164,166,167,185],[1,4,5,11,15,22,25,31,40,42,43,63,83,
85,87,131,133,162,163,165,186],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,21,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,41,51,52,62,67,71,72,74,75,77,78,79,80,
82,98,99,100,108,109,115,118,123,124,126,127,141,144,161,170,187],[1,2,4,6,10,
11,12,14,15,16,23,26,28,32,33,35,39,40,53,64,68,72,73,76,77,106,119,122,123,
138,139,159,169,188],[1,2,3,4,6,7,9,10,11,12,13,14,15,23,24,26,27,28,30,32,33,
39,40,41,53,56,67,68,69,70,71,73,74,76,77,78,106,107,119,120,125,126,129,138,
140,156,169,172,189],[1,2,4,5,8,10,11,12,15,22,25,26,28,29,31,32,34,36,39,40,
42,51,52,63,68,76,77,79,81,82,83,84,102,108,109,115,118,119,121,128,130,143,
146,160,170,190],[1,2,4,6,8,10,11,12,15,19,23,26,28,29,31,32,34,36,39,40,42,
53,58,68,76,77,79,81,82,83,84,101,106,118,119,121,128,130,138,142,160,169,171,
191],[1,2,4,5,8,10,11,12,14,15,25,26,28,29,31,32,33,34,36,39,51,52,66,69,70,
71,73,77,79,82,108,109,115,118,122,125,145,155,170,192],[1,4,5,6,15,22,25,31,
43,44,85,87,115,117,131,149,162,193],[1,3,4,5,6,11,13,14,18,20,21,22,24,25,41,
43,44,61,62,63,66,85,86,87,88,89,111,117,133,134,148,149,150,175,176,177,
194],[1,2,3,4,6,7,9,10,12,13,17,18,19,20,23,24,26,27,30,45,46,47,48,49,53,56,
57,59,60,61,67,90,91,92,93,94,105,106,107,137,140,152,179,180,195],[1,2,4,6,
10,12,16,17,18,19,23,26,35,45,46,48,53,60,64,65,72,90,96,106,116,136,139,152,
179,196],[1,2,4,6,8,10,12,15,17,18,19,23,26,29,34,36,39,45,46,48,53,55,58,60,
79,90,95,101,104,106,135,142,152,179,181,197],[1,4,5,11,15,17,22,40,43,45,52,
85,102,131,153,198],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,23,24,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,53,56,58,64,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,101,106,107,112,118,119,120,121,122,123,124,125,
126,127,128,129,130,138,139,140,142,155,156,157,158,159,160,161,169,171,172,
173,184,188,189,191,199],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,21,22,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,51,52,62,63,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,98,99,100,102,108,109,111,115,118,119,120,
121,122,123,124,125,126,127,128,129,130,141,143,144,145,146,155,156,157,158,
159,160,161,170,174,184,187,190,192,200],[1,4,5,6,11,15,18,22,25,31,40,42,43,
44,63,83,85,87,89,115,117,131,133,146,148,149,162,163,165,176,186,193,201],[1,
2,3,4,6,7,8,9,10,12,13,15,16,17,18,19,20,23,24,26,27,29,30,34,35,36,37,38,39,
45,46,47,48,49,53,55,56,57,58,59,60,61,64,65,67,72,75,79,80,90,91,92,93,94,95,
96,101,104,105,106,107,110,112,113,114,116,127,135,136,137,139,140,142,147,
152,168,173,179,180,181,195,196,197,202],[1,4,5,11,17,22,25,45,50,52,63,151,
153,203],[1,2,6,8,17,19,23,46,50,54,58,151,154,204],[1,2,4,5,11,12,15,17,22,
36,40,42,43,45,46,48,52,84,85,90,102,131,153,163,198,205],[1,4,5,10,11,15,17,
22,25,28,32,40,43,45,52,63,76,85,87,95,102,108,131,133,143,153,165,182,198,
206],[1,4,5,11,15,17,22,31,40,42,43,45,52,83,85,95,102,131,153,162,198,207],[
1,2,3,6,8,9,16,17,19,20,23,38,46,47,49,50,54,57,58,65,93,97,103,110,151,154,
178,204,208],[1,3,4,5,11,13,14,17,21,22,25,41,45,47,49,50,52,62,63,66,91,97,
100,111,151,153,178,203,209],[1,2,4,5,10,11,12,15,17,22,25,28,31,32,34,36,39,
40,42,43,45,46,48,52,63,76,81,82,83,84,85,87,90,95,102,108,130,131,133,135,
143,153,162,163,165,182,186,198,205,206,207,210],[1,4,5,11,15,17,22,25,31,40,
42,43,45,50,52,63,83,85,87,95,102,115,131,133,146,151,153,162,163,165,182,186,
198,203,207,211],[1,2,4,5,6,8,10,11,12,15,17,18,19,22,23,25,26,28,29,31,32,34,
36,39,40,42,43,44,45,46,48,50,51,52,53,54,55,58,60,63,68,76,77,79,81,82,83,84,
85,87,89,90,95,101,102,104,106,108,109,115,117,118,119,121,128,130,131,132,
133,135,138,142,143,146,148,149,151,152,153,154,160,162,163,165,166,169,170,
171,176,179,181,182,186,190,191,193,197,198,201,203,204,205,206,207,210,211,
212],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,3,1],[1,3,
1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,4,3,1,6,1],[1,4,3,1,
6,1],[1,7,3,4,1],[1,6,1,4,3,1],[1,2,4,1,1,3,1,2,1],[1,1,3,1],[1,3,1,2,1],[1,3,
1,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,4,1,2,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,2,3,1,1,1,1],[1,5,2,1,1],[1,2,3,1,1,1,1],[1,1,1,1],[1,4,1],[1,1,3,1],[1,
5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,2,1,1],[1,7,
1,3,2,1,1],[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],[1,6,1,
1,3,2,1,1],[1,7,1,3,2,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,4,8,3,
4,12,1,6,12,1,2,12,1],[1,3,1,6,3,1],[1,3,1,4,2,1,2,1],[1,7,3,4,4,1,6,1],[1,4,
3,1,6,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,7,3,4,4,1,2,1],[1,4,3,1,6,2,2,1,1,1,1],[
1,2,4,1,1,3,1,2,2,2,1,1,1,1],[1,11,5,8,2,2,1,4,1],[1,4,7,3,4,6,2,1,1,1,4,1],[
1,4,7,3,4,6,2,1,1,1,4,1],[1,8,3,4,1,8,2,1,1,1,2,2,1],[1,6,4,1,1,4,3,3,2,2,1,1,
1,2,2,1],[1,3,1,2,1,2,1],[1,4,3,1,2,4,1,1,2,1,2,1],[1,5,2,3,1,1,1,1],[1,4,5,2,
2,1,1,1,1,1],[1,9,4,12,1,1],[1,9,1,3,9,3,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,6,5,5,1,1,1,1,1],[1,6,5,5,1,1,1,1,1],[1,1,10,5,1,2,1,
1],[1,5,6,5,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,11,1,
1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,
6,3,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,12,3,1,10,
9,1,3,3,3,1,3,3,1],[1,4,8,3,1,1,9,3,6,1,1,2,1,2,3,1,1,2,1,2,1],[1,4,3,4,1,6,4,
1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,7,4,3,4,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,7,6,
1,3,3,1,2,2,1,3,1,1,1,1],[1,6,7,1,3,3,1,2,2,1,3,1,1,1,1],[1,7,2,1,1,3,3,2,1,2,
3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,4,
3,4,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,7,6,2,2,1],[1,12,7,8,3,4,18,6,3,1,2,
2,3,6,6,12,3,6,6,1],[1,4,15,7,12,6,6,1,3,3,12,12,1,3,3,1],[1,4,3,1,6,6,6,1,3,
3,1,3,3,1],[1,4,7,3,4,6,2,1,1,1,4,4,1,2,1],[1,4,7,3,4,6,8,2,1,1,1,4,4,2,1,1],[
1,4,7,3,4,6,2,8,1,1,1,4,4,2,1,1],[1,8,3,4,1,8,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,
4,7,3,4,6,8,2,1,1,1,8,4,2,1,2,1,1,1],[1,4,8,7,4,12,3,4,6,12,4,2,1,2,1,12,1,2,
4,8,1,1,2,1,2,1],[1,8,8,3,4,4,12,1,8,12,2,4,1,2,1,12,1,2,2,4,4,2,1,1,2,1,2,
1],[1,4,3,1,2,8,1,3,2,1,2,2,1,1,1,1],[1,4,11,5,8,6,6,2,1,2,1,7,4,8,1,1,1,1,1,
2,1],[1,4,11,5,8,2,4,2,1,1,2,1,2,4,2,1,1,1,2,2,1],[1,9,4,9,12,1,1,1],[1,3,4,9,
1,3,4,1,2,1,1],[1,15,4,9,14,6,1,6,1,2,1],[1,12,3,1,3,9,1,9,4,3,3,1,3,3,1,1,1,
1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,12,5,1,15,5,
10,1,5,1,1,2,1,2,1,2,1,2,1,1],[1,3,16,1,6,3,4,1,1],[1,4,3,4,1,6,12,4,1,6,1,4,
3,1,1],[1,4,8,3,4,4,12,1,6,12,4,8,1,2,12,1,4,1,1,2,1],[1,12,7,4,3,4,18,6,8,4,
3,1,3,12,1,4,3,2,1,1],[1,16,3,4,12,1,12,6,8,4,1,3,3,6,6,1,4,3,2,1,1],[1,19,4,
9,16,6,8,4,4,3,12,1,4,3,2,1,1],[1,6,12,1,4,3,4,9,3,6,6,8,4,1,3,3,6,6,1,4,3,1,
1,1,1],[1,7,4,3,4,4,4,1,6,1,4,1,1,1],[1,13,4,6,3,8,4,1,3,3,4,3,1,1],[1,12,8,3,
1,1,10,9,9,6,4,1,3,2,3,2,3,3,3,4,6,1,1,1,3,2,3,2,1,1,3,1,1,1,1,1,1,1,1],[1,9,
7,6,6,6,9,2,2,6,6,1,1],[1,9,7,6,12,9,2,2,1,3,1,1],[1,9,7,6,9,3,9,2,2,1,3,1,
1],[1,11,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,12,7,8,3,4,18,16,6,3,1,2,2,3,12,6,6,12,6,1,6,3,3,6,6,1,3,3,1],[1,4,8,
15,4,12,7,12,6,12,12,6,1,2,3,12,3,18,12,12,24,1,1,6,3,3,3,6,3,3,6,1,2,3,3,6,
1],[1,4,8,7,4,12,3,4,6,12,12,2,1,2,1,12,1,6,4,8,4,1,1,2,2,1,2,2,1,1,1,1],[1,4,
7,3,4,6,8,2,8,1,1,1,8,4,4,4,2,1,2,2,1,1,2,1,1,1,1],[1,4,15,7,12,6,8,6,8,1,3,3,
4,4,12,12,1,2,2,3,3,1,1,1,1],[1,12,15,8,7,12,18,10,3,3,2,2,5,6,6,20,12,4,1,3,
5,6,2,6,4,4,1,1,1,2,2,1],[1,12,8,7,4,8,12,3,4,18,12,4,6,8,3,2,1,2,12,2,3,2,6,
4,6,8,8,12,8,1,1,2,2,4,3,2,6,4,6,1,1,2,1,2,1],[1,9,4,27,12,9,1,1,3,1],[1,9,4,
9,12,9,1,1,1,1],[1,3,18,4,9,1,9,9,30,12,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,4,
18,9,16,12,9,1,12,1,4,1,2,1],[1,12,3,4,9,10,9,1,3,3,12,3,4,1,2,1,3,3,4,1,3,1,
1],[1,3,6,4,9,3,1,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,6,12,5,1,15,5,10,10,10,
1,5,5,5,1,1,2,1,2,5,1,2,1,2,1,2,2,1,1,1,1],[1,4,15,16,7,12,6,6,16,1,3,3,12,12,
4,1,3,3,4,1,1,1],[1,12,7,16,8,3,4,18,6,16,3,1,2,2,3,6,6,12,8,4,3,6,6,4,8,8,1,
1],[1,12,3,16,1,6,12,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,4,3,16,1,6,6,6,16,1,3,
3,4,1,3,3,4,1,1,1],[1,16,8,3,4,4,12,12,1,12,12,6,12,8,4,8,1,2,3,12,3,6,6,12,
12,6,1,4,4,4,1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,12,19,4,9,16,18,10,6,8,8,4,3,4,3,
9,12,24,1,4,4,4,3,1,3,3,3,6,2,2,1,4,3,1,1,1,1],[1,18,9,7,6,27,6,18,6,6,18,9,2,
2,18,9,2,6,6,6,1,6,1,2,1],[1,27,7,6,27,6,30,27,2,2,27,2,12,6,1,6,1,2,1],[1,9,
7,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,11,11,11,1,1,1,1],[1,16,15,10,5,30,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,16,15,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,
15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,20,15,6,20,10,15,6,5,10,
6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,12,8,15,4,8,12,
7,12,18,12,20,10,8,3,2,3,2,12,2,5,22,6,4,6,8,8,20,12,24,4,1,1,10,3,7,2,5,6,4,
3,5,6,6,4,2,6,4,4,1,1,2,1,3,1,2,5,3,2,2,6,2,1,1,1,1,1,1,1,1],[1,12,24,3,4,9,3,
10,27,9,18,12,1,3,30,16,3,6,12,3,9,9,12,18,4,1,2,1,3,3,3,6,3,6,12,3,3,9,4,4,4,
1,3,6,1,3,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,21,4,18,27,16,12,9,9,9,1,12,9,1,4,3,
2,1,1,1,1],[1,12,24,7,16,12,8,36,3,4,18,36,12,6,24,32,16,3,6,1,2,36,2,3,6,6,
12,6,24,24,12,24,8,4,16,3,3,6,6,12,3,6,6,12,6,8,8,8,4,8,8,1,3,6,3,6,4,8,3,1,
1],[1,4,15,16,7,12,6,24,6,24,16,1,3,3,12,12,12,12,4,16,1,6,6,3,3,4,1,3,3,1,4,
3,1,1],[1,4,8,15,16,4,12,7,12,6,12,12,6,16,32,1,2,3,12,3,18,12,12,24,4,16,1,1,
6,3,3,3,6,3,3,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,12,31,16,8,15,28,18,18,32,16,3,
7,2,2,9,6,6,36,36,12,8,4,16,3,9,9,6,6,6,12,12,8,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,
28,15,16,24,7,12,42,18,32,16,7,3,6,6,9,18,18,36,12,12,4,16,1,3,9,18,6,18,12,
12,8,4,3,1,3,6,6,1,4,3,1,2,1],[1,12,7,16,8,3,4,18,16,6,16,3,1,2,2,3,12,6,6,12,
8,4,16,6,1,6,3,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,9,16,24,27,12,36,9,5,8,1,12,9,4,
3,4,1,1],[1,18,27,7,6,27,27,9,6,18,6,30,18,27,27,2,2,18,9,27,9,2,2,12,6,6,9,1,
6,6,1,2,2,1,1,1,1],[1,16,32,15,10,16,60,5,30,60,6,10,10,20,10,20,5,10,60,6,6,
12,6,12,5,10,10,20,10,20,5,6,12,6,12,6,10,5,10,6,5,1,1,2,1],[1,16,15,10,5,30,
40,6,10,10,10,5,30,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,36,15,10,40,5,
60,30,6,10,30,30,5,15,15,30,30,6,6,6,5,10,30,30,15,6,12,10,10,5,6,5,1,1,2,1],[
1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,28,8,15,16,4,24,12,7,12,42,
12,36,18,24,32,16,32,7,2,3,6,12,6,9,30,18,12,18,24,24,36,12,24,12,4,16,16,16,
1,1,18,3,15,6,9,6,12,3,9,6,18,12,6,18,12,12,8,4,8,16,3,1,2,3,9,3,6,9,3,6,6,6,
6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,12,24,31,16,12,8,36,15,28,18,36,
28,18,24,32,32,16,3,6,7,2,36,2,9,42,6,12,6,24,24,36,36,72,12,8,4,16,16,16,3,3,
18,7,9,6,9,18,12,9,9,18,6,12,6,6,12,12,8,8,8,8,4,8,16,8,1,3,6,3,3,3,6,9,9,6,6,
18,6,4,4,8,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,45,16,24,54,27,24,72,72,9,27,
27,5,8,72,27,5,36,24,9,4,3,18,9,4,8,1,3,3,4,3,1,1],[1,36,32,15,10,16,40,60,5,
60,60,30,40,6,10,30,20,30,20,5,10,15,60,15,30,30,40,60,30,6,6,12,6,12,5,10,10,
10,30,20,30,20,10,10,5,15,30,15,30,6,12,6,12,6,12,12,10,10,10,5,10,10,10,10,
10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,55,55,55,66,110,55,66,12,55,
55,12,22,1],[1,55,55,55,66,110,55,66,12,55,55,12,22,1],[1,36,45,40,30,90,45,
36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,75,40,45,120,90,
36,160,120,30,45,180,10,36,30,120,45,10,40,36,60,30,10,20,30,12,10,12,1,1],[1,
45,40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,1],[1,55,66,55,
55,165,55,66,110,110,55,165,66,66,66,12,55,55,55,55,66,12,55,55,12,22,12,1,
1],[1,66,55,55,55,165,55,66,110,110,55,165,66,66,66,12,55,55,55,55,66,12,55,
55,12,22,12,1,1],[1,36,75,40,45,120,90,180,36,160,120,30,45,45,90,45,90,180,
90,10,36,36,36,30,120,45,45,45,90,90,10,40,36,72,60,30,45,30,20,36,30,12,10,
10,10,12,10,1,1,1,1,1],[1,165,220,330,495,396,880,660,165,495,495,55,396,144,
330,660,495,55,220,396,330,165,165,110,165,144,198,55,55,55,66,55,11,12,11,
1],[1,396,495,880,1320,1320,495,1980,2970,2970,2376,1320,3960,5280,3960,7920,
495,495,990,990,1485,2970,2970,5940,5940,5940,440,1760,2376,2376,2376,1728,
1320,1980,1980,2640,1320,3960,3960,7920,495,1485,1485,2970,2970,2970,5940,
5940,440,5280,5280,2376,4752,3960,3960,1320,1980,1980,3960,3960,880,495,495,
1485,2970,2970,1320,1320,2640,2376,495,1980,1980,3960,880,1760,1728,396,1584,
1584,1485,440,1320,1320,1320,495,495,990,880,396,792,1584,1320,495,495,440,
396,132,440,144,144,132,132,132,132,24,1],[1,396,792,495,880,1320,396,1320,
5940,495,1980,2970,5940,1980,2970,3960,2376,1320,3960,7920,5280,5280,3960,
7920,7920,495,990,495,990,5940,990,1485,2970,2970,5940,2970,3960,11880,5940,
5940,11880,5940,440,1760,2376,2376,4752,2376,4752,1728,1320,1980,1980,2640,
1320,3960,3960,3960,7920,3960,7920,7920,7920,3960,3960,7920,495,495,2970,495,
1485,2970,1485,2970,5940,1485,1485,2970,2970,5940,2970,2970,5940,5940,440,
1760,5280,5280,5280,2376,4752,2376,4752,2376,4752,4752,1728,1320,3960,3960,
3960,3960,7920,1320,3960,1980,3960,1980,3960,3960,7920,3960,3960,3960,3960,
3960,880,495,495,990,1485,1485,1485,2970,1485,1485,2970,2970,2970,2970,1320,
1320,2640,5280,2376,2376,2376,495,1980,1980,1980,1980,1980,3960,1980,3960,
3960,880,1760,1760,1728,396,1584,1584,495,495,1485,1485,1485,1485,1485,440,
1320,1320,1320,1320,1320,2376,495,495,990,990,1980,1980,880,880,880,1728,396,
792,792,1584,1584,1485,1320,1320,495,495,495,495,495,495,440,880,396,396,396,
132,495,495,440,396,144,144,132,132,132,144,144,132,24,1,1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,9,9,10,10,10,10,10,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,20,20,20,
20,20,20,20,22,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,32,
32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,40,40,40,48,48,48,48,48,48,48,
48,48,48,54,54,54,55,60,60,60,64,64,64,64,64,64,64,72,72,72,72,72,72,80,96,96,
96,96,96,96,108,108,108,110,120,120,120,120,120,128,144,144,192,192,192,192,
192,192,216,216,240,240,240,360,384,384,432,480,660,660,720,720,720,1320,1320,
1440,7920,95040,190080],
[213,202,195,200,194,185,202,185,127,199,174,161,126,174,160,147,168,185,147,
105,134,133,147,105,111,199,189,200,187,127,190,184,156,161,127,160,147,80,
118,130,78,130,201,175,168,168,137,168,137,178,185,174,173,164,185,147,147,
147,105,147,105,111,111,147,147,111,199,199,156,200,184,161,184,156,127,184,
184,156,161,127,160,160,130,130,201,175,133,134,134,168,137,168,137,168,135,
136,178,185,144,141,142,143,103,185,147,173,140,174,144,147,111,147,147,147,
146,147,194,200,199,189,184,184,184,161,184,184,161,160,156,160,186,185,165,
134,168,168,168,199,173,173,174,173,174,144,174,146,147,194,176,175,178,202,
182,183,200,199,184,184,184,184,184,201,186,185,186,185,185,168,199,200,191,
189,173,174,194,194,194,178,202,195,197,182,183,184,185,186,200,199,199,200,
199,200,201,194,202,202,202,210,199,200,201,202,209,208,210,210,210,208,209,
210,211,213,213],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,6,5,5,1,1,1,1,1,1,1,1,4,1,1,1,1,4,2,2,
4,4,4,1,1,1,17,17,17,1,1,1,8,11,10,8,1,1,6,6,6,6,6,5,5,6,1,1,1,1,4,1,4,4,4,4,
2,4,4,4,4,2,4,4,15,15,43,44,5,5,6,17,17,17,17,1,17,17,50,51,51,52,53,52,54,6,
6,10,10,11,8,23,25,23,23,2,31,6,5,4,10,10,10,10,10,12,10,10,12,15,10,15,43,8,
43,44,17,17,17,68,53,10,52,53,52,51,11,115,23,117,43,44,50,152,153,154,28,10,
26,28,32,32,26,85,43,132,85,55,51,48,68,118,138,68,106,108,117,117,117,50,152,
152,152,153,154,77,132,131,170,138,68,170,138,118,162,148,152,152,152,198,169,
170,193,179,203,204,198,198,198,204,203,198,211,212,212],
[( 1,13)( 2,15)( 3,10)( 4,23)( 5, 9)( 6,24)( 7,16)( 8,19)(11,21)(12,22)(14,18)
(17,20),( 1,14,11)( 2, 7, 5)( 3,24,22)( 4,18,17)( 6,13,10)( 8,16,12)],
[[[[]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[1,1,
2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,3,
1,1,1,2,-1,4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,3,-1,4,1,2,-1,4,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1,4,-1,3,-2,5,-1,2,-1,3,1,4,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,3,1,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,
1],[2,-1,1,1,2,-1,1,1,3,-1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,
1,1,1,3,-1,4,1,2,-1,4,-1]]],[[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,
1,-1,2,-2,1,-1,2,-1,1,-1],[3,-4]],[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,
2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2,3,1],[3,1,4,
1],[4,1,5,1,4,1,5,1]]],[[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,
2,-2,1,-1,2,-1,1,-1],[3,-4]],[[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[2,-1,1,1,2,
1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[3,1,4,1],[4,1,
3,1],[4,1,5,1,6,-1,5,1,6,1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,1,1,2,1,1,
1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,
3,2,4,-1,5,1]]],[[[1,1,2,1],[3,2,2,1,1,1],[4,1,2,1,1,1,2,-1,4,1]],[[1,1,2,1],[
1,1,2,-1],[2,-1],[5,1,3,1,1,1,2,1,1,1,4,-1,5,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[1,1,2,-1,4,-1,1,1,3,-1],[6,1,5,-1,4,-1,2,-1,6,1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-3,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,1,4,-1,5,1,3,1,1,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,2,1,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1,2,2,1,
1,2,1,1,1,2,1],[3,1,4,1],[5,1,3,1,5,-2,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,2,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1,2,2,1,1,2,1,1,1,2,1],[3,1,4,1],[5,1,3,-1,4,1,
5,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,
5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,3,2,4,2,2,1,4,-1,3,1,5,
1]]],[[[1,1,2,1],[3,2,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,3,1,1,1,2,-1,4,
-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,
1,2,1,5,1,4,-1,3,-2,4,1,6,1,3,1,5,-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]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,-1,3,1,4,-1,5,2,4,-1,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,
3,1,1,1,2,-1,4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[6,1,4,2,3,-1,5,-1,6,-1,2,1,4,1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,4,1],[5,1,7,1,6,1,5,1,7,-1,6,-1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,4,2,3,-1,5,-1,2,1,6,1,5,1,
3,1,1,1,4,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,
1,1,1,4,1],[6,1,8,-1,5,-1,7,2,6,1,5,1,8,-1]]],[[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,
1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[3,-4]],[[2,-1,1,1,2,1,1,1,2,1,1,
1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2,3,1],[3,1,4,1],[5,1,4,1,5,1,4,1]],[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,
2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2,3,
1],[4,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,
1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,-1,3,2,4,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,1,1,2,
-1,4,-1,1,1,3,-1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,
-2,5,1,4,-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2],[4,1,7,
-1,5,-1,6,1,4,-1,7,-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[3,2],[6,1,4,1,7,-1,5,-1,6,1,7,1,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,2,1,6,2,4,1,3,-2,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[6,1,3,2,4,-1,5,1,2,1,4,1,6,1,4,-1,1,1,3,-1,5,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,6,-1,2,1,4,1,2,1,5,
-1,4,2,3,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-3,3,1,4,-1,2,-1]],[[1,1,
2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[1,1,2,-1,1,1,2,-1,
1,1,3,-1],[4,1,2,1,3,1,4,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,
1,5,-1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,
5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,1,1,1,4,
1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,
1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-2,5,1,4,
-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,4,-1,1,
1,3,-1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,
1],[6,1,8,-1,5,-1,7,2,6,1,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[5,1,3,2,4,1,6,-1,5,1,3,1,1,1,4,1,6,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,4,1],[5,1,3,1,1,1,4,1,3,-1,2,-1,6,2,4,1,3,-1,4,1,2,-1,5,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,-1,5,1,4,-1,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,4,-3,3,-2,5,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[
2,-1],[1,1,2,-1,3,2,2,1,1,1],[4,1,5,-1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2,4,1,5,-1,2,-1,5,1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,3,
1,1,1,2,-1,4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,1,3,1],[6,1,4,2,3,-1,5,-1,4,1,3,-1,4,1,5,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,6,1,5,1,1,1,3,-1,4,1,6,1]]],[[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,2,1,1,2,-1,3,1,1,1,4,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-2,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,5,2,3,
1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,3,2,4,2,2,1,4,-1,3,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,4,-1,3,-2,5,-1,4,1,3,-1,4,1,5,-1]]],[[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1],[5,1,1,1,3,-1,4,1,6,2,5,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,1,4,-1,3,1]]],[[[1,1,
2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,2,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,
-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,1,1,1,2,1,1,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[2,-1,5,1,6,1,4,2,6,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[4,1,6,1,3,1,5,1,2,-1,5,1,4,-1,1,1,3,-1,6,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,
4,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[3,2,2,1,1,1],[2,-1,4,1,6,1,5,-1,6,1,
4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,1],[
6,1,8,-1,5,-1,7,2,6,1,5,1,8,-1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,1,1,2,1,1,
1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[3,2,2,1,1,1],[5,1,6,1,4,-1,5,-1,4,1,6,
1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,1,1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,3,1,
4,-1,5,2,4,-1,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,3,1,1,1,
2,-1,4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1,5,-1,4,2,3,-1,4,1,3,-2,5,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[6,1,4,2,3,-1,5,-1,6,-1,2,1,4,1,3,-1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2,4,1,5,-2,4,2,3,-1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[3,2],[4,1,7,-1,5,-1,6,1,4,-1,7,-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1],[5,1,3,2,4,1,6,-1,3,1,1,1,4,1,5,-1,2,-1,6,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,1,5,-1,6,-1,7,1,6,1,5,1,4,-1,
3,1,7,-1]]],[[[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,
2,-1,1,-1],[3,-4]],[[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[2,-1,1,1,2,1,1,1,2,1,
1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[3,1,4,1],[4,1,3,1,5,
-2]],[[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[4,1,3,1],[5,1,4,1,5,-1,3,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,3,2,4,2,3,-1,4,1,5,-1,6,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,2,4,-1,5,1,2,-1,5,1,3,1,1,1,4,
1,6,-1,4,-1,2,-1]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,2,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[2,1,4,1,6,-1,5,1,4,-1,1,1,3,-1,5,-1,3,-1,6,-1,4,-1,6,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,1],[7,1,6,1,5,1,8,
-1,6,1,8,-1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-3,3,1,4,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[2,-1,1,1,2,
1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[3,2]],[[2,-1,1,
-1,2,-1,1,1,2,1,1,-1,2,-2],[2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,
-1,2,-2,1,-1,2,-1,1,-1],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,1]],[[2,-1,1,1,2,1,1,1,
2,1,1,1,2,1,1,-1,2,1,1,1,2,-1,1,-1,2,-2,1,-1,2,-1,1,-1],[2,-1,1,-1,2,-1,1,1,2,
1,1,-1,2,-2,3,1],[3,1,4,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,
-1,1,1,2,-1,1,1,3,-1],[4,1,5,-1,2,-1,5,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,3,
1],[3,1,1,1,2,1,1,1],[2,-1,6,-1,4,-1,5,-1,4,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,4,-1,1,1,3,-1,6,-1,5,1,3,-1,6,-1,4,-1]]],[[[
1,1,2,1],[1,1,2,-1,1,1,2,-1,1,1,3,-1],[4,1,3,-1,2,1,4,-1]],[[1,1,2,1],[1,1,2,
-1],[3,2,2,1,1,1],[5,1,4,-1,3,-1,2,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[2,1,4,1,6,-1,5,1,4,-1,1,1,3,-1,6,1,3,2,4,-1,5,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,
1,1,4,1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,
1,4,-1,1,1,3,-1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,
1,1],[2,-1],[5,1,4,-1,3,1,4,-2,3,-2,2,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,-1],[3,1,1,1,4,1,5,-1,6,1,5,1,3,2,4,1,6,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,3,1],[6,1,5,1,4,-1,1,1,3,-1,6,1,5,1,3,2,4,-1]]],[[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,4,
-1,3,-2,5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[5,1,3,
1,1,1,4,1,6,-1,4,-1,3,-2,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[
6,1,4,1,5,-1,4,1,6,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,
-1,2,-1,5,1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,
5,1,3,2,4,1,6,-1,3,1,1,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[3,1,1,1,4,1,5,-1,6,1,4,1,6,1,3,1,5,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[2,1,3,1,1,1,2,-1,4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1],[2,1,3,1,4,-1,1,1,3,-1,2,1,1,1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,1],[8,1,5,-1,6,-1,7,-1,6,1,8,-1,
5,-1,7,1]]],[[[1,1,2,1],[2,-1],[1,1,2,-1,3,2,2,1,1,1],[4,1,5,-1,4,1,5,1]],[[1,
1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,-1,4,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,-1],[5,1,4,-1,3,1,4,-2,3,-2,2,1,1,1,5,-1]]],[[[2,-1],[1,1,2,-1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,5,
1,3,1,1,1,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,1,2,1,4,-1,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,-1],[5,1,4,-1,3,1,4,-2,3,-2,2,1,1,1,5,
-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,1,3,-1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,
4,1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,3,1],[3,2,2,1,1,1,2,1,1,1],[5,1,4,1,5,1,4,
1]],[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,2,2,1,1,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,
2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,
4,1,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,
1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,2,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,4,-1,3,1,4,-1,5,1,4,-1,1,1,3,-1,2,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,
1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,2,3,1,
1,1,4,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,4,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-2,4,1,2,-1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1]],[[1,1,2,1],[
1,1,2,-1],[4,2,3,2,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[2,
1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,1,3,2,4,1,5,-1,2,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,1,1,1,4,1,2,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,
2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,
-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,4,1,5,-1,4,2,3,
-1]]],[[[1,1,2,1,1,1,2,1,1,1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,3,2,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,
4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,-1,5,1,3,2,4,2,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-2,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1],[4,1,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,4,-1,3,1,5,1,3,1,1,1,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,-1,1,
1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,3,-2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1],[
4,1,3,1,1,1,2,1,1,1,2,1,4,2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,-1],[4,1,1,1,2,-1,3,-2,2,1,1,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,1,1,4,1,3,-2,2,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,-1,4,-1,3,-2,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,
1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,1,1,2,-1,1,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,
1,1]],[[2,1,1,1],[2,1,3,2,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
3,3,1,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[2,1,1,1],[
1,1,2,-1],[1,1,2,1,3,-1],[3,1,5,-1,4,-2,3,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,1,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-2,4,2,3,-1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2],[4,1,7,-1,5,-1,6,1,4,-1,7,
-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,5,1,3,1,4,-2,3,2,
4,-1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,1,1,3,-1,4,1,3,
-1,4,1,5,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-2,5,
-1,6,2,4,1,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,
5,-1,2,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,-1,5,1,4,
-1,6,-1,5,-1,2,1]]],[[[1,1,2,1],[2,1,3,1],[2,-1,3,1,1,1,2,1,1,1,2,1,1,1],[4,1,
5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,6,
-1,4,-1,2,-1,6,1,4,2,3,-1,5,-1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,
-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1,6,-1,3,
1,1,1,4,1,5,-1,6,1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,
1,4,1,6,1,3,1,1,1,4,1,5,-1,6,-1,2,1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1],[2,1,4,1],[3,1,1,1,4,1],[8,1,5,-1,6,-1,7,-1,8,-1,5,-1,6,-1,7,
-1]]],[[[1,1,2,1],[2,-1,3,2,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,3,1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,1,2,-1,4,-1,
3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,3,1,1,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
1,2,1,1,1,2,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,1,1,
4,1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,4,
1,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,3,
-1,2,-1,4,-1,3,1,1,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[2,1,3,1,1,1,2,-1,
4,-1,1,1,3,-1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[
4,1,3,-2,5,-1,6,2,4,1,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,3,
-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[3,1,1,1,4,1,5,-1,6,1,5,1,
3,2,4,1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,4,-1,1,1,3,
-1,6,1,5,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,
1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,3,1,4,-1,1,1,2,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,-1,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[1,1,
2,1],[2,1,1,1],[3,1,1,1,4,1,3,-2,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[2,-1,3,-1,
4,2,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,2,4,-1,1,1,2,-1,4,-1,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,3,-2,2,-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],[3,1,4,-2,1,1,2,1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,1,3,2,4,-1,5,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,4,2,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,4,-1,3,1,4,-1,2,
-1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[3,2,2,1,1,1],[5,1,6,1,4,-1,5,-1,4,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[3,2,
4,-1,1,1,2,1,4,-1,1,1,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,
1],[3,2,2,1,1,1,2,1,1,1],[4,1,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,1,
1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,
3,-1,5,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,3,1,
1,1,4,1,5,-1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[1,1,
2,1],[3,2,1,1,2,-1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,5,-2,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,1,1,
3,-1,4,1,3,-2,5,-1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,2,1,
1,1],[6,1,4,-1,5,1,4,1,6,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,
1,3,2,4,1,6,-1,5,1,1,1,3,-1,4,1,6,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,4,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,
2,-1,4,2,3,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,4,-1,3,1,4,-1,1,1,2,-1,1,1,3,-1,4,1,2,1,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,2,4,1,6,2,3,1,1,1,4,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,3,1,4,-2]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-2,4,1,2,-1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,5,1,4,-1,3,1,4,-1,2,-1]]],[[[1,
1,2,-1],[3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,3,1,4,-1,1,1,2,-1]]],[[[2,1,1,1],[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]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,3,-1,4,1,2,-1,4,
-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,
1],[2,-1,3,1,1,1,2,1,1,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,3,1],[
1,1,2,-1,1,1,2,-1,1,1,3,-1],[2,-1,5,-1,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[3,1,1,1,4,1,5,-1,6,-1,4,-1,2,-1,6,1,4,2,3,-1,5,-1,2,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,3,-1,2,-1,4,-1,3,1,1,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,5,1,3,1,4,-2,3,2,4,-1,5,1,6,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,1,1,3,-1,4,1,3,-1,4,1,5,-1,
2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-2,5,-1,6,2,4,1,2,
1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,3,1,4,-2,5,
1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,4,2,3,1,4,1,3,1,1,1,2,1,1,1,5,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,3,2,4,-1,5,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,3,1,4,-1,5,1,3,1,1,1,4,1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,3,2,5,1,2,-1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,-1,5,1,4,-1,3,1,4,-1,5,1,3,1,1,1,4,1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,1,
1,1,4,1,5,-1,4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,
-1,4,1,2,1,4,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,
1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,
4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,-1,
4,1,3,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,4,-1,1,1,3,-1,
5,-1,6,1,5,1,3,2,4,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1],[5,1,4,-1,5,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,4,-1,1,1,3,
-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],[3,2,4,2,3,
-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,-1,3,1,4,-2]],[[1,1,2,-1],[1,1,2,1,1,1,2,1,1,1],[3,1,4,1,2,1,3,1,
4,-1]]],[[[2,1,1,1],[2,1,3,2,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]],[[2,1,1,1],[
2,1,3,2,2,1,1,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,-1,3,1,
1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,1,1,3,-1,4,2,2,
-1,3,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,1,1,3,-1,4,-1]],[[2,
-1],[1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,4,-1,3,1,5,2,3,1,4,-2]]],[[[2,1,1,1],[1,1,2,-1],[2,-1,
3,-1,4,2,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,
2,-1,5,1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,
-1]],[[2,1,1,1],[1,1,2,-1],[2,-1,3,-1,4,2,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,3,2,1,4,-2]],[[2,1,1,1],[1,1,2,-1],[2,-1,3,-1,4,2,1,1,2,1,1,1,3,
1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,
1,3,-2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,3,1,1,1,2,1,1,1,
4,-1,5,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,1,5,1,4,
-1,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,4,1,2,-1,5,1,3,1,1,1,
4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[2,1,1,1],[2,1,3,
1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-3,4,1,2,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,3,
-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1]],[[1,1,2,1],[1,1,2,
-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,3,-2,2,-1,
4,-1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2],[4,1,2,1,1,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,1,1,3,-1,5,-1,4,2,3,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,3,1,1,1,4,1,5,-1,2,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]],[[2,
1,1,1],[2,1,3,2,2,1,1,1,2,1,3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,1,1,3,-1,4,1,5,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,
1,4,-1,3,1,5,1,3,1,1,1,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1,1,1,4,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,5,2,3,
1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2,4,-1]],[[1,1,2,1],[2,1,
1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-2,
4,1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1],[2,-1,3,-1,4,2,1,1,2,1,1,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-3,3,1,4,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,1,1],[4,1,2,1,4,-1]],[[1,1,
2,1],[2,1,1,1],[2,-1],[4,1,3,-1,4,1,5,-1,1,1,2,-1,3,2,4,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,1,4,-1,
3,1]]],[[[2,1,1,1],[1,1,2,1,3,-2,1,1,2,-1]],[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,
-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,3,
-1,4,1]]],[[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,1,
4,-1,3,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,-1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,
3,1],[2,-1,3,1,1,1,2,1,1,1,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,-1,3,2,4,1,5,-1,2,1,3,1]]],[[[2,1,1,1],[2,
-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,3,1,1,
1,4,1,5,-1,6,-1,5,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,1,1,2,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,
2,3,1,1,1,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,
1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[2,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,2,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2,4,1]],[[
1,1,2,1],[1,1,2,-1],[2,1,3,2,1,1,2,-1,4,2,3,1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,
1,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1,1,1]],[[
2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]]],[[[2,1,1,1],[2,1,3,3,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,1,2,1,3,2,4,-1]]],[[[1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,
1],[2,1,1,1,3,-1,4,-2]]],[[[2,1]],[[1,1,2,-1,1,1]]],[[[1,1]],[[2,1]]]]);
ACLT( "M12.2",
"sortperm",( 3, 4)( 5, 6)( 7, 16, 15)( 9, 14, 13, 12, 11, 10)
( 18, 21, 23, 19, 20, 24, 25)( 26, 31, 35, 40, 34, 27, 41, 36, 32, 28, 30, 39,
33, 42)( 37, 38)( 43, 44)( 45, 47, 49, 48)( 51, 57, 62, 60, 52, 58, 53, 55)
( 54, 56, 65, 61, 64, 66, 59, 63)( 67, 75, 77, 69, 79, 68)( 70, 83, 73, 82,
72, 78, 84, 71, 81, 74, 80, 76)( 85, 87, 86, 89)( 90, 91, 92, 96, 94, 95)
( 98,115,101, 99,116,110,107,114,109,103,108,104)(100,106,102)(105,111)
(112,113)(119,120,126,128)(121,122,129,127,123,130)(131,133,132)(136,137)
(139,144,146,141,147,142)(140,143)(148,149)(153,154)(155,158,157,156,160)
(159,161)(162,164,167,166,165)(170,171)(172,174,173)(175,177,176)
(179,181,180,183,182)(185,186)(187,190,188,192,189,191)(195,196,197)(199,200)
(205,206)(208,209));
ACLT( "M12.2",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[2,-1,1,1,2,1]],[[2,1,1,1],[3,
3]]],,[[[1,1,2,1],[3,1,1,1,2,1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
1,1,1,2,1,1,1]]],,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,
1,5,-1,3,-1,2,1,5,-1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[2,-1,4,-1,3,1,
4,-1,2,-1,5,1,1,1,2,-1,3,2,4,1,5,1]]],,,,,,[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,
4,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,1,1,1]],[[2,1]]],,,[[[1,1,2,1],[3,3,2,1,3,1],[4,3]],[[1,1,2,1],[3,1,2,
1],[4,3],[5,-1,3,4,5,1]]]]);
LIBTOM( "M22",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,10],[1,2,
3,11],[1,2,3,12],[1,13],[1,2,6,14],[1,2,4,5,15],[1,2,4,6,7,16],[1,2,8,17],[1,
2,8,9,18],[1,2,4,8,19],[1,2,4,9,20],[1,2,6,8,21],[1,2,6,8,22],[1,2,4,6,8,23],[
1,2,5,7,9,24],[1,2,8,25],[1,3,26],[1,2,10,27],[1,28],[1,2,3,5,29],[1,2,3,5,
30],[1,2,3,5,31],[1,2,3,4,32],[1,2,3,6,33],[1,2,3,7,34],[1,2,3,5,11,35],[1,2,
3,7,11,12,36],[1,2,3,9,11,37],[1,2,4,5,15,38],[1,2,4,6,7,16,39],[1,2,4,8,19,
40],[1,2,4,9,20,41],[1,2,4,5,6,7,8,15,16,19,23,42],[1,2,4,5,6,7,9,15,16,20,24,
43],[1,2,4,6,7,8,14,16,21,22,23,44],[1,2,4,5,9,15,20,45],[1,2,4,5,8,9,15,19,
20,46],[1,2,4,6,7,9,16,20,47],[1,2,4,6,7,8,9,16,19,20,48],[1,2,4,6,7,8,16,21,
49],[1,2,4,8,9,18,19,20,50],[1,2,4,6,8,17,19,21,22,23,51],[1,2,4,8,19,25,52],[
1,2,6,8,9,18,22,25,53],[1,2,8,9,17,18,25,54],[1,2,3,12,26,55],[1,2,9,10,27,
56],[1,3,13,57],[1,2,3,4,5,11,15,29,58],[1,2,3,6,11,14,33,59],[1,2,3,6,8,12,
22,33,60],[1,2,3,4,6,8,12,23,33,61],[1,2,3,5,7,9,12,24,34,62],[1,2,3,5,7,9,12,
24,29,63],[1,2,3,4,6,8,12,23,32,64],[1,2,3,5,7,9,12,24,30,65],[1,2,3,5,7,9,12,
24,31,66],[1,2,3,8,11,17,67],[1,2,3,5,7,9,11,12,24,35,36,37,68],[1,2,4,5,6,7,
8,14,15,16,17,19,21,22,23,42,44,51,69],[1,2,4,6,7,8,14,16,21,22,23,39,44,49,
70],[1,2,4,5,6,7,8,9,15,16,19,20,23,24,39,42,43,47,48,71],[1,2,4,5,6,7,8,9,15,
16,19,20,23,24,38,42,43,45,46,72],[1,2,4,5,6,7,8,9,15,16,19,20,23,42,45,73],[
1,2,4,5,6,7,8,15,16,19,21,23,42,49,74],[1,2,4,6,7,8,9,14,16,20,21,22,23,44,47,
49,75],[1,2,4,5,6,7,8,9,15,16,18,19,20,23,40,42,46,48,50,76],[1,2,4,5,6,7,8,9,
15,16,18,19,20,24,41,43,45,46,47,48,50,77],[1,2,4,5,6,7,8,15,16,19,23,25,42,
52,78],[1,2,4,6,8,17,19,21,22,23,25,40,51,52,79],[1,2,4,6,8,9,17,18,19,20,21,
22,23,25,50,51,52,53,54,80],[1,2,3,5,11,26,29,30,31,35,81],[1,2,3,9,12,26,55,
82],[1,2,3,9,12,26,55,83],[1,2,3,8,12,26,55,84],[1,2,3,4,5,11,15,29,35,38,58,
85],[1,2,3,4,5,15,30,31,32,38,86],[1,2,3,4,6,7,16,32,33,34,39,87],[1,2,3,4,8,
19,32,40,88],[1,2,3,4,9,20,32,41,89],[1,2,3,4,5,8,9,11,15,19,20,29,37,46,58,
90],[1,2,3,4,5,6,7,9,11,12,15,16,20,24,29,36,43,58,63,91],[1,2,3,4,6,7,8,11,
12,14,16,21,22,23,33,36,44,59,60,61,92],[1,2,3,8,9,11,17,18,25,37,54,67,93],[
1,10,28,94],[1,2,6,13,14,95],[1,2,3,5,10,12,27,31,96],[1,2,3,5,10,12,27,30,
97],[1,2,3,4,10,12,27,32,98],[1,2,3,7,10,12,27,34,99],[1,2,3,7,10,12,27,34,
100],[1,2,3,6,10,12,27,33,101],[1,2,4,5,6,7,8,9,14,15,16,17,19,20,21,22,23,24,
38,42,43,44,45,46,51,69,72,73,102],[1,2,4,5,6,7,8,9,14,15,16,17,19,20,21,22,
23,24,39,42,43,44,47,48,49,51,69,70,71,74,75,103],[1,2,4,5,6,7,8,9,15,16,18,
19,20,23,24,38,39,40,41,42,43,45,46,47,48,50,71,72,76,77,104],[1,2,4,5,6,7,8,
9,15,16,19,20,21,23,24,25,38,42,43,45,46,49,52,72,74,78,105],[1,2,4,5,6,7,8,9,
15,16,19,20,23,24,25,39,42,43,45,47,48,52,71,73,78,106],[1,2,4,5,6,7,8,9,15,
16,18,19,20,21,23,40,42,45,46,48,49,50,73,74,76,107],[1,2,4,5,6,7,8,9,14,15,
16,17,18,19,20,21,22,23,25,40,42,44,46,48,50,51,52,53,54,69,76,78,79,80,108],[
1,2,3,8,9,12,18,26,55,82,83,84,109],[1,2,3,5,7,9,11,12,24,26,29,30,31,35,36,
37,55,63,65,66,68,81,110],[1,2,4,6,7,10,16,39,111],[1,2,4,5,10,15,38,112],[1,
2,3,4,5,6,7,8,11,14,15,16,17,19,21,22,23,29,33,42,44,51,58,59,67,69,113],[1,2,
3,4,5,6,7,8,9,12,15,16,19,20,23,24,32,33,34,39,42,43,47,48,61,62,71,87,114],[
1,2,3,4,6,7,8,12,14,16,21,22,23,32,33,34,39,44,49,60,64,70,87,115],[1,2,3,4,5,
6,7,8,9,12,15,16,19,20,23,24,30,31,32,38,42,43,45,46,64,65,66,72,86,116],[1,2,
3,4,6,7,8,11,14,16,21,22,23,32,33,34,39,44,49,59,70,87,117],[1,2,3,4,5,6,7,8,
9,11,12,15,16,19,20,23,24,29,35,36,37,38,42,43,45,46,58,63,68,72,85,90,91,
118],[1,2,3,4,6,8,12,17,19,21,22,23,25,32,40,51,52,64,79,88,119],[1,2,3,5,7,9,
10,11,12,24,27,30,36,56,65,97,120],[1,2,3,5,7,9,10,11,12,24,27,31,36,56,66,96,
121],[1,2,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,24,25,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,69,70,71,72,73,74,75,76,77,78,79,80,102,103,
104,105,106,107,108,122],[1,2,3,4,5,11,15,26,29,30,31,32,35,38,58,81,85,86,
123],[1,2,4,5,6,7,8,9,10,15,16,19,20,23,24,27,39,42,43,47,48,71,111,124],[1,2,
4,5,6,7,8,9,10,15,16,19,20,23,24,27,38,42,43,45,46,72,112,125],[1,2,3,4,6,8,
12,13,23,32,33,57,61,64,126],[1,2,3,5,7,9,12,13,24,30,34,57,62,65,127],[1,2,3,
5,7,9,12,13,24,31,34,57,62,66,128],[1,2,3,5,7,9,12,13,24,29,34,57,62,63,129],[
1,2,3,6,11,13,14,33,57,59,95,130],[1,2,3,4,5,6,7,8,9,11,12,14,15,16,17,19,20,
21,22,23,24,29,33,36,39,42,43,44,47,48,49,51,58,59,60,61,63,67,69,70,71,74,75,
91,92,103,113,131],[1,2,3,4,5,6,7,8,9,15,16,18,19,20,23,24,30,31,32,33,34,38,
39,40,41,42,43,45,46,47,48,50,71,72,76,77,86,87,88,89,104,132],[1,2,3,4,5,6,7,
8,9,11,14,15,16,17,18,19,20,21,22,23,25,29,33,37,40,42,44,46,48,50,51,52,53,
54,58,59,67,69,76,78,79,80,90,93,108,113,133],[1,2,3,4,5,6,7,8,9,11,14,15,16,
17,19,20,21,22,23,24,29,33,35,38,42,43,44,45,46,51,58,59,67,69,72,73,85,102,
113,134],[1,2,3,4,5,6,7,8,9,11,12,14,15,16,17,19,20,21,22,23,24,32,33,34,36,
39,42,43,44,47,48,49,51,59,60,61,62,64,69,70,71,74,75,87,92,103,114,115,117,
135],[1,2,3,4,5,6,7,8,9,11,12,15,16,19,20,23,24,26,29,30,31,32,35,36,37,38,42,
43,45,46,55,58,63,64,65,66,68,72,81,85,86,90,91,110,116,118,123,136],[1,2,4,5,
6,7,8,9,10,15,16,19,20,23,24,25,27,39,42,43,45,47,48,52,56,71,73,78,106,111,
124,137],[1,2,3,6,8,10,12,22,26,27,33,55,60,84,101,138],[1,2,3,4,6,8,10,12,23,
26,27,32,33,55,61,64,84,98,101,139],[1,2,3,5,7,9,10,12,24,26,27,30,34,55,62,
65,82,97,100,140],[1,2,3,5,7,9,10,12,24,26,27,31,34,55,62,66,83,96,99,141],[1,
2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,29,33,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,58,59,60,61,63,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,85,90,91,92,93,102,103,104,105,106,107,108,113,118,
122,131,133,134,142],[1,2,3,4,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,24,
25,30,31,32,33,34,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,60,64,65,
66,69,70,71,72,73,74,75,76,77,78,79,80,86,87,88,89,102,103,104,105,106,107,
108,115,116,119,122,132,143],[1,2,3,4,5,6,7,8,9,11,12,15,16,19,20,21,23,24,25,
26,29,30,31,32,35,36,37,38,42,43,45,46,49,52,55,58,63,64,65,66,68,72,74,78,81,
84,85,86,90,91,105,110,116,118,123,136,144],[1,2,3,7,10,11,12,27,28,34,36,94,
99,100,145],[1,2,3,6,8,9,10,12,18,22,25,26,27,33,53,55,56,60,82,83,84,101,109,
138,146],[1,2,3,4,5,6,7,8,9,10,12,15,16,18,19,20,23,24,27,30,31,32,33,34,38,
39,40,41,42,43,45,46,47,48,50,61,62,71,72,76,77,86,87,88,89,96,97,98,104,111,
114,124,132,147],[1,2,3,4,5,6,7,8,9,10,12,15,16,18,19,20,23,24,27,30,31,32,33,
34,38,39,40,41,42,43,45,46,47,48,50,64,65,66,71,72,76,77,86,87,88,89,98,99,
100,101,104,112,116,125,132,148],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,
20,21,22,23,24,27,29,33,35,36,37,38,42,43,44,45,46,51,58,59,63,67,68,69,72,73,
85,90,91,101,102,112,113,118,125,134,149],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,
16,17,19,20,21,22,23,24,29,32,33,34,36,39,42,43,44,47,48,49,51,57,58,59,60,61,
62,63,64,67,69,70,71,74,75,87,91,92,95,103,113,114,115,117,126,129,130,131,
135,150],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,
30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,59,60,
61,62,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,86,87,88,89,92,96,97,98,
102,103,104,105,106,107,108,111,114,115,116,117,119,120,121,122,124,132,135,
137,143,147,151],[1,2,3,5,7,9,10,11,12,13,24,26,27,29,30,31,34,35,36,37,55,56,
57,62,63,65,66,68,81,83,96,99,110,121,127,129,141,152],[1,2,3,5,7,9,10,11,12,
13,24,26,27,29,30,31,34,35,36,37,55,56,57,62,63,65,66,68,81,82,97,100,110,120,
128,129,140,153],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,84,85,86,87,88,89,90,91,92,93,98,99,100,101,102,103,104,105,106,107,108,
110,112,113,115,116,118,119,122,123,125,131,132,133,134,136,138,139,142,143,
144,148,149,154],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,18,19,20,23,24,26,27,30,31,
32,33,34,38,39,40,41,42,43,45,46,47,48,50,55,57,61,62,64,65,66,71,72,76,77,82,
83,84,86,87,88,89,96,97,98,99,100,101,104,109,111,112,114,116,124,125,126,127,
128,132,139,140,141,147,148,155],[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]],
0,
[[1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1,1],[1,1],[1,1,1,
1],[1,3,1,1],[1,1],[1,7,7,1],[1,7,3,4,1],[1,7,1,2,4,1],[1,1,3,1],[1,1,1,2,1],[
1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,5,2,1,1],[1,5,1,1,1,1],[1,5,1,1,1,1],[1,
1,1,1],[1,4,1],[1,5,1,1],[1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,7,1,3,1,2,1],[1,1,1,3,1,1],[1,15,
15,20,15,1],[1,15,5,10,20,15,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,11,3,4,2,4,2,1,
1,1,4,1],[1,11,3,4,2,4,2,1,1,1,4,1],[1,11,1,8,4,2,1,1,1,2,2,1],[1,7,3,4,4,1,2,
1],[1,7,3,4,2,2,1,1,1,1],[1,7,1,2,4,4,1,2,1],[1,7,1,2,4,2,2,1,1,1,1],[1,7,1,2,
4,4,1,2,1],[1,3,1,2,4,4,1,2,1],[1,7,1,2,4,1,1,2,1,2,1],[1,3,1,2,1,2,1],[1,5,2,
1,2,1,1,1,1],[1,1,3,2,1,1,1,1],[1,9,4,12,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,7,4,
3,4,4,1,1,1],[1,7,4,7,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,
4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,9,1,1,3,3,3,2,3,1,1,1,1],[1,19,
3,4,14,12,6,2,1,3,2,3,6,6,12,3,6,6,1],[1,19,5,16,20,6,1,15,3,6,6,1,3,3,1],[1,
19,7,4,10,20,2,4,1,15,1,2,4,8,1,1,2,1,2,1],[1,19,15,20,2,4,2,4,15,1,1,2,4,8,1,
1,2,1,2,1],[1,11,3,4,2,4,2,8,1,1,1,4,4,1,2,1],[1,11,3,4,2,4,10,1,1,1,4,4,1,2,
1],[1,11,1,8,4,6,4,1,1,2,3,2,2,1,1,1,1],[1,11,3,4,2,4,6,4,1,1,4,3,2,4,1,1,2,2,
1,1],[1,11,3,4,2,4,2,8,1,1,4,1,4,4,1,1,1,1,1,1,1,1],[1,11,3,4,2,4,2,1,1,1,4,4,
1,2,1],[1,7,1,2,8,1,3,2,1,2,2,1,1,1,1],[1,7,1,2,4,4,1,4,1,2,2,1,2,2,1,1,1,2,2,
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],[1,15,4,15,20,12,15,1,4,1,3,1],[1,15,16,15,20,15,4,4,12,1,1],[1,15,16,
5,10,20,15,8,4,8,1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,1],[1,7,4,3,4,6,
6,4,1,3,3,1,4,3,1,1],[1,19,4,3,4,6,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,19,4,3,
10,12,6,4,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,11,1,1],[
1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,
5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,
27,15,20,14,12,6,12,2,15,3,2,3,6,6,6,12,24,1,3,6,6,3,6,6,1,3,3,1],[1,27,7,4,
22,28,14,4,2,1,17,2,3,2,10,14,20,8,1,3,2,10,1,2,6,6,1,2,1,1,2,1],[1,27,19,20,
10,20,6,12,15,15,12,3,6,12,24,1,1,1,2,3,6,3,6,3,6,3,3,3,3,6,1],[1,19,15,20,2,
4,10,4,15,1,1,2,4,4,8,4,1,1,2,1,2,2,2,1,1,1,1],[1,19,7,4,10,20,2,12,1,15,1,6,
4,8,4,1,1,2,2,1,2,2,1,1,1,1],[1,11,3,4,2,4,14,12,1,1,4,3,6,4,4,1,1,2,2,2,2,1,
1,1,1,1],[1,19,3,4,14,12,10,4,2,1,3,2,4,5,2,6,6,12,4,1,3,6,2,2,1,6,2,4,4,1,1,
1,2,2,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,21,13,1,9,9,3,42,9,4,1,1,1,1,3,3,4,
3,3,3,3,1,1],[1,15,5,10,20,16,15,1,1],[1,15,15,20,16,15,1,1],[1,19,16,3,4,14,
12,6,16,2,1,3,2,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,27,16,11,12,10,20,6,12,16,3,
15,3,6,12,24,8,4,8,1,3,6,3,6,4,8,3,1,1],[1,27,16,5,28,20,18,16,3,15,9,18,18,8,
4,8,1,9,9,4,8,3,1,1],[1,27,16,15,20,6,12,6,12,16,15,3,3,6,12,24,4,4,12,1,3,6,
3,6,4,4,4,3,1,1],[1,19,16,5,16,20,6,16,1,15,3,6,6,8,4,8,1,3,3,4,1,1,1],[1,27,
4,15,20,6,12,6,12,12,8,15,3,3,6,12,24,1,4,4,4,1,3,6,3,6,3,2,4,3,1,1,1,1],[1,
15,16,1,6,12,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,25,10,5,15,15,6,10,20,15,6,5,
10,6,5,1,1],[1,25,10,5,15,15,6,10,20,15,6,5,10,6,5,1,1],[1,35,19,20,22,28,18,
20,2,15,17,2,12,5,10,10,14,28,40,4,1,1,1,2,5,10,10,5,10,3,6,6,3,6,2,4,4,1,2,3,
5,3,1,2,3,6,1,2,2,1,1,1,1,1,1,1,1],[1,15,40,15,20,24,15,16,2,8,8,24,8,1,6,8,2,
2,1],[1,35,15,20,10,20,10,20,16,5,15,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,35,
15,20,10,20,10,20,16,15,5,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,21,28,7,7,21,28,
8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,
21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,
1],[1,43,16,15,4,38,60,30,12,16,32,2,1,45,2,3,6,18,30,36,24,4,8,16,3,3,6,18,3,
6,18,6,4,8,8,8,8,8,1,6,3,3,6,4,8,3,1,1],[1,27,64,19,20,10,20,6,12,15,15,12,3,
6,12,24,16,16,64,16,32,1,1,1,2,3,6,3,6,3,6,3,3,3,3,6,4,4,4,8,1,1],[1,19,16,3,
4,14,12,18,12,16,2,1,3,2,12,9,6,6,6,12,12,4,8,16,3,3,6,6,6,3,6,6,12,12,4,8,8,
1,3,3,6,6,4,8,3,1,1],[1,27,16,15,20,14,12,6,12,48,2,15,3,2,3,6,6,6,12,24,4,8,
16,1,3,6,6,3,6,6,12,8,8,1,3,3,4,1,1,1],[1,43,16,11,12,34,44,30,12,16,32,4,3,
21,6,9,6,24,30,48,24,8,4,8,16,1,9,6,24,3,6,12,18,4,4,4,8,8,3,4,3,3,6,1,4,3,1,
1,1,1],[1,51,40,15,20,18,36,18,36,24,144,15,9,9,18,36,72,16,2,8,8,24,8,24,24,
1,9,18,9,18,16,6,12,24,24,24,24,9,8,2,2,6,6,8,6,6,1,1],[1,35,15,20,10,20,10,
60,16,5,15,5,30,20,40,20,16,1,5,10,10,5,10,10,16,5,5,5,5,1,1,1],[1,45,40,30,
45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,
10,15,15,10,6,6,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,
1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,51,16,27,20,
38,60,42,36,48,32,2,15,45,2,36,9,18,18,30,60,72,12,4,8,16,16,16,1,3,3,6,9,18,
18,9,18,9,18,18,9,6,6,12,12,12,8,8,8,8,8,16,1,6,9,9,3,3,6,9,18,3,6,6,4,4,4,8,
8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,64,19,20,46,44,42,36,64,6,15,21,6,12,9,
18,30,42,60,72,12,16,16,64,16,32,1,1,1,2,9,18,30,9,18,3,6,18,3,18,6,12,12,16,
32,16,16,3,6,3,9,9,3,6,3,6,3,6,6,4,4,4,8,3,3,1,3,3,3,3,4,4,4,3,1,1],[1,51,40,
15,20,18,36,90,36,24,144,15,9,9,18,36,36,72,36,16,2,8,8,24,8,24,24,1,9,18,9,
18,18,18,16,6,12,24,24,24,24,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,55,55,55,66,
55,110,66,12,55,55,12,11,11,1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,
10,36,30,10,10,10,12,10,1,1],[1,75,160,75,100,10,20,30,60,96,160,75,15,60,15,
30,60,120,96,80,80,240,40,80,5,1,5,10,15,30,15,30,15,30,15,40,80,15,15,15,30,
20,10,20,40,16,16,32,5,6,10,6,5,1],[1,75,160,35,20,50,100,30,60,96,160,15,75,
60,15,30,60,120,96,40,40,200,80,160,1,5,5,10,15,30,15,30,15,30,15,40,40,40,15,
15,15,30,10,20,20,40,16,16,16,16,5,6,10,6,5,1],[1,75,40,15,20,70,60,30,60,96,
120,80,10,15,15,10,15,30,30,30,60,120,96,10,40,40,40,40,1,15,30,30,15,30,30,
30,40,20,40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,91,112,35,28,98,140,126,
84,112,224,64,8,7,105,14,21,42,84,126,168,168,28,56,56,56,112,7,21,42,84,21,
42,84,42,64,28,56,56,56,56,56,56,56,7,28,21,21,42,7,28,56,8,21,7,7,7,7,8,8,8,
7,7,1],[1,115,160,75,100,70,140,90,180,96,160,320,10,75,45,30,60,45,90,90,90,
180,360,60,96,80,80,240,40,80,160,5,1,5,10,45,90,90,45,90,15,30,30,15,90,30,
60,60,96,40,40,40,80,80,80,80,15,10,15,45,45,15,30,15,30,15,30,30,20,10,20,40,
40,16,16,32,15,15,5,15,15,15,15,6,10,10,20,10,20,16,16,15,6,5,10,6,5,1,1],[1,
105,175,35,105,315,126,105,630,120,315,70,126,35,35,35,105,35,105,105,70,126,
120,105,105,105,105,105,35,70,21,42,35,21,15,15,7,1],[1,105,175,35,105,315,
126,105,630,120,315,70,126,35,35,35,105,35,105,105,70,126,120,105,105,105,105,
105,35,70,21,42,35,21,15,15,7,1],[1,195,400,75,20,270,300,450,180,576,240,
1440,30,15,225,30,180,45,90,270,450,540,360,180,160,576,20,80,80,480,360,480,
80,240,240,1,15,15,30,45,90,270,45,90,45,90,270,45,90,90,180,180,160,60,120,
360,120,120,480,240,240,120,240,15,90,45,45,45,45,90,45,90,45,90,90,80,160,20,
20,60,60,120,60,60,120,120,96,96,96,192,15,45,15,45,45,45,45,80,36,15,60,60,
60,60,45,10,36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,315,1120,315,420,210,
420,630,1260,2016,3360,960,315,315,1260,315,630,1260,2520,280,2016,840,840,
2520,840,1680,21,21,105,210,315,630,315,630,315,630,315,280,960,840,1680,840,
840,840,315,315,315,630,280,280,280,210,210,420,840,336,336,672,336,336,336,
105,280,126,126,210,210,126,126,120,120,120,105,56,56,56,21,21,1],[1,1155,
6160,1155,1540,2310,4620,6930,13860,22176,18480,36960,21120,330,1155,3465,
2310,13860,3465,6930,6930,6930,13860,27720,13860,6160,22176,8064,1540,6160,
6160,18480,9240,18480,6160,18480,18480,77,231,1155,2310,3465,6930,6930,3465,
6930,3465,6930,6930,3465,6930,6930,13860,13860,6160,22176,21120,4620,9240,
9240,9240,18480,9240,18480,18480,18480,9240,18480,1155,2310,3465,3465,3465,
3465,6930,3465,6930,3465,6930,6930,6160,6160,6160,6160,1540,1540,2310,4620,
9240,4620,4620,9240,9240,8064,2640,3696,3696,7392,7392,7392,7392,1155,3465,
1155,3465,3465,3465,3465,6160,6160,1386,2772,1155,2310,2310,4620,2310,4620,
4620,3696,3696,3465,770,1386,2772,2640,2640,2640,2640,2640,1155,1155,1155,
1155,2310,770,1386,616,1232,1232,1232,1155,1155,770,672,616,231,462,462,330,
231,176,176,77,22,1]],
[1,2,3,4,4,4,4,4,4,5,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,9,10,11,12,12,12,12,12,12,
12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,20,21,24,24,24,
24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,48,48,
48,48,48,48,48,48,48,55,56,60,60,60,60,60,60,64,64,64,64,64,64,64,72,72,80,80,
96,96,96,96,96,96,96,120,120,128,144,160,160,168,168,168,168,168,192,192,192,
192,192,288,320,360,360,360,360,384,384,576,660,720,960,960,960,1344,1920,
2520,2520,5760,20160,443520],
[156,142,110,143,136,135,114,108,77,56,68,36,57,150,142,122,133,80,122,104,
103,108,69,43,80,109,56,94,136,110,110,64,92,62,110,68,68,154,151,143,132,122,
104,103,122,104,122,104,103,122,108,108,80,80,109,56,57,118,92,92,92,62,91,64,
65,66,93,68,142,135,122,122,122,122,103,122,104,122,108,108,110,109,109,109,
136,136,135,119,89,118,118,92,93,94,130,121,120,98,99,100,101,142,122,143,122,
122,122,122,109,110,137,125,142,135,135,116,135,118,119,120,121,122,144,137,
125,126,127,128,129,130,142,143,142,142,135,144,137,146,139,140,141,142,143,
144,145,146,151,148,149,150,151,152,153,154,155,156],
[1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,2,2,1,1,1,2,2,2,1,1,10,1,5,5,5,4,6,7,1,3,3,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,8,8,26,10,13,5,6,33,33,34,29,32,30,31,17,11,2,6,4,
4,4,4,6,4,4,4,8,8,5,26,26,26,5,38,39,40,41,29,29,33,67,28,14,96,97,98,99,100,
101,15,16,4,15,16,19,19,55,81,39,38,69,87,87,86,39,58,88,97,96,42,38,111,112,
126,127,128,129,95,113,104,113,69,87,123,111,138,139,140,141,113,132,123,145,
138,147,148,149,150,147,152,153,154,155,156],
[( 3,12)( 5,16)( 7,15)( 8,11)( 9,22)(14,21)(17,19)(18,23),( 3, 6, 9,14)( 4, 8)
( 5,18,15,20)( 7,11,10,21)(13,17,22,23)(19,24)],
[[[[]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,2],[5,2,4,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[1,1,4,-1,3,2,4,1,
1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,4,2,1,1,
3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[5,1,4,1,1,1,
4,-1,5,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,
1,3,1,4,1,3,2,4,-2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,
2],[3,1,1,1],[4,1,1,1,4,1,5,-2,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,
2],[5,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,4,1,3,1,
1,1,4,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[4,1,
5,-1,1,1,5,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,
1,1,3,2,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,2,
3,-2,4,-1,3,-1,1,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,
1,1],[3,1,4,-1,3,-1,4,-1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[
1,1,3,1],[4,1,1,1,4,-1,3,2]]],[[[1,1,2,-1,1,1],[3,-2]],[[2,2,1,1,2,-1,1,-1,2,
-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1],[4,1,3,-1,4,-1],[5,1,6,1,5,-1,6,
-1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,1,4,1,3,
1,4,1,3,-1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,2,4,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,
2],[4,1,1,1,3,1,1,1,3,-1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,1,1,1],[1,1,4,-3,3,2,1,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,4,-1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1,2,1,1,
1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[3,1,1,1],[5,1,4,1,5,-1,1,1,5,1,4,
1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[1,1,3,-1,1,1,4,
1,1,1,4,1,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,4,
1,3,1,1,1,4,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,
1],[4,1,5,-1,1,1,5,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,
1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,2],[1,1,3,1,1,1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,2],[3,1,1,1],[5,1,4,-1,1,1,4,1,5,-2]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,
1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,
2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[3,1,1,1],[4,1,1,1,4,-1,1,1,5,2]]],[[[2,1,1,1,
2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,
1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,1],[4,1,1,
1,4,-1,3,2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,
2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[3,1,1,1],[4,2,3,-2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[3,1,1,1],[1,1,4,1,3,-2,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[3,2],[4,1,1,1,3,1,1,1,4,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,2],[1,1,3,1,4,1,1,1,4,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,
-1],[1,1,2,-1,1,1],[3,-1,4,-2,3,1]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,
-1],[1,1,2,-1,1,1],[4,1,3,1,4,-2,3,-1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,
1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[4,1,3,-2,4,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[
3,2],[4,1,1,1,4,-1,1,1,3,-1,1,1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[3,1,1,1],[4,1,3,2],[5,2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[3,2],[1,1,4,1],[5,1,3,1,1,1,4,1,5,1]]],[[[2,-2,1,1,2,1],[3,1,1,1,2,-1,3,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,-1,
1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,1,3,
1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,2,1,
1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[5,
1,4,1,5,-1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,
1,4,1,3,-2,4,-2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,
1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[
4,1,1,1,3,1,1,1,4,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,
1],[4,1,3,2],[5,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,2,
1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,
-2,4,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,2,1,1,3,-2,1,
1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1,4,1,1,1,3,1,1,1,
4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[4,1,1,1,4,
1,5,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[1,1,5,
1,4,1,5,1,4,1,1,1,3,1]]],[[[1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,1,1,1,3,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[3,1,1,1],[4,1,3,2],[5,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[3,1,1,1],[4,2,3,-2,4,-1,3,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[1,1,3,1],[3,2,4,1,1,1,4,-1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,1],[3,1,1,1,5,-1,1,1,3,1,5,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,1,1,1,3,2,1,1,4,1,1,1]],[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,1],[4,1,1,1,4,-1],[6,1,5,1,6,
1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,
1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,
1,1,1],[3,2,4,-1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,1,1,1,2,
1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,-1,4,-1,3,2,4,-1,1,1,3,
1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,
1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,
4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,1],[3,1,1,1,
4,-1,3,-2,4,1,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,
1],[4,2,3,-2,1,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,
2,1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,1,
3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,
1,1],[5,1,4,-1,1,1,4,1,5,-2]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[1,1,3,2,1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,1,1,1],[3,2,4,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,
1,1,1],[4,1,3,2],[5,2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[
1,1,3,1,1,1,4,1,1,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[3,1,1,1],[4,1,3,-2,4,-1,1,1,4,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[3,1,1,1],[4,2,3,-2,1,1,3,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,
1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[3,2],[3,1,1,1],[4,1,1,1,4,-1,1,1,5,2]]],[[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,1,1,1,4,-1,1,1,4,-1]],[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,1,1,1],[4,1,5,-1,4,-1,5,-1]]],[[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,
1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[4,2,3,2,4,-1,3,-1,1,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,2,4,-1,1,1,3,
1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,1,4,2,3,2,1,1,
3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,1,1,1,4,-1,1,1,
4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,1,1,1],[4,1,5,1,
4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[
4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[
4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,
1,1,3,1,1,1,4,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,
1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[1,1,3,-1,1,1,3,-1,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1]],[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,2,1,1,4,1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,1,1,1],[4,2,3,-2,4,-1,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-2,1,1,2,1],[1,1,3,2,1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,1,1,1],[4,2,3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,2],[3,1,1,1],[4,1,3,1,5,-1,1,1,5,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,
1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,-2,4,-1,1,1,3,1,4,-1]],[[2,1,1,1,2,1,1,1,
2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[3,1,1,1],[4,1,1,1,4,1,5,-2]]],[[[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,-2,3,-2]],[[2,2,1,1,2,-1,
1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1,4,1,3,1,4,-1,3,1,4,1]]],[[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[4,1,1,1,4,-1,3,2]],[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[4,1,1,1,4,-1,3,
2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,2,3,2,1,1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,-1,1,1,3,1,1,1]]],[[[
2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,-2,1,1,3,-1,1,1]],[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[4,2,3,-2,1,1,4,1]]],[[[
1,1,2,-1,1,1],[3,-2]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,
1],[3,-1],[4,1,3,1],[5,1,4,1,6,-1,5,-1,4,1,6,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[1,1,3,1],[3,2,4,1,1,1,4,-1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[1,1,4,-1,5,-1,1,1,5,1,4,1]]],[[[2,2,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1,4,-2,3,1]],[[2,2,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,1,4,1],[5,1,4,1,3,1,5,-1,4,
-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,2,1,1,3,-1,1,
1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,
2],[5,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[1,
1,4,1,5,1,4,1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,2,
4,1,1,1,4,-1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[
4,1,3,-2,4,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,
3,1,1,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,
1,1],[4,2,3,-2,4,-1,3,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,
3,1],[1,1,4,-1,3,-2,4,1,1,1,3,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,1,1,1],[3,2,4,-1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,
2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,4,-3,3,2,1,1,3,1]]],[[[2,1,1,1,2,1,1,
1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,4,2,1,1,3,1]],[[2,1,1,1,2,1,
1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1],[4,1,5,-1,4,1,5,
-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,4,-1],[
4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,
2,3,2,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,2,
1,1,3,1,4,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,1,4,
2,3,2,1,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,
3,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,1],[3,
1,1,1,4,-1,3,-2,4,1,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[
3,2],[3,1,1,1],[4,1,1,1,4,-1,1,1,5,2]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[3,1,1,1,3,-1,1,1,3,2,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,
2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-2,1,1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[1,1,3,-2,1,1,3,-2,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[1,1,3,2,4,-1,1,1,3,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,1,1,1],[4,2,3,-2,4,-1,3,-1,1,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,
2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,4,-1],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,1,4,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1,4,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,1,1,1],[4,2,3,-2,4,-1,3,-1,1,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,
1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,-1,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,
2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,4,-1],[4,1,5,-1,4,1,5,-1]]],[[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,
1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]]],[[[2,1,1,1,2,1,
1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,-1,1,1]],[[2,1,1,1,2,1,1,
1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,
1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[1,1,4,1,5,1,4,1,5,
-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[1,1,4,-1,3,-2,4,1,1,
1,3,-1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[4,-2,3,
1,4,-2,3,-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,
1,1],[3,1,4,1],[5,1,3,-1,4,-1,5,1,4,1,3,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,
1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1],[4,1,3,-1,4,-1],[6,1,5,-1,6,1,5,1]],[[2,2,1,
1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,1,4,1],[5,1,3,-1,4,-1,5,
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,-1,1,1],[4,1,
3,-1,4,-2,3,1,4,-1]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[3,1,1,1,2,
-1,1,1],[4,2,3,-1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,
1],[1,1,4,-1,3,2,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,
1,3,-1,1,1,4,1,1,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[1,1,3,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,
2],[4,1,1,1,4,1,1,1,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[3,2],[1,1,3,1,1,1],[4,1,5,-1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-2,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[4,2,3,2,1,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,2,1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[3,1,1,1,3,2,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,
3,-2,1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,
1,1,3,1,1,1,4,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,
3,1,1,1,4,-1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,
1,1,3,-1,1,1,4,1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,
1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-2,1,1,2,1],[1,1,3,1],[3,2,4,1,1,1,4,-1,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[1,1,3,1],[4,1,1,1,4,-1,3,2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-2,1,1,2,1],[3,1,1,1],[4,1,3,2,4,-1,1,1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,-1,1,1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,2],[1,1,3,-1,1,1,4,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
4,-1,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,3,-1,2,1,1,1,3,-2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,-2,3,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[1,1,3,-2,1,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[1,1,3,-1,1,1,3,-2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[1,1,3,1,1,1],[4,1,3,-2,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[3,1,1,1,3,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,2],[4,1,1,1,4,1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[1,1,3,2,1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,
-1,1,1,3,1,1,1,3,-2]]],[[[1,1,2,-1,1,1],[3,-1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,
-1,2,-2,3,-1]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,
1,4,1],[5,1,3,1,4,-1,5,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,
2,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1,1,1,3,2,1,1,3,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,1,4,2,3,2,4,-2]]],[[[2,1,1,1,2,1,1,
1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,
1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,1,2,1,1,1,
2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[4,1,3,-2,4,-1,3,-1,1,1]]],[[[2,1,
1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]],[[2,1,1,1,
2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,3,1,1,1,4,1]],[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[1,1,3,1],[4,1,5,-1,4,1,
5,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1],[4,2,3,2,
4,-1,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2,1,1,3,1]],[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-2,1,1,3,-2,1,1,3,-1]]],[[[2,1,
1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,-1,1,1]],[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-2,1,1,3,1,1,1,3,-1]]],[[[2,
1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]],[[2,1,1,
1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1,1,1,3,2,1,1]]],[[[2,
1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,-1,1,1]],[[2,1,
1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,
2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,2,1,1,3,1]]],[[[2,2,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[4,-2,3,1,4,-2,3,-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,-1,1,1],[3,-1],[4,1,3,
-1,4,-1],[6,1,5,-1,6,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,
2],[3,1,1,1],[1,1,4,1,5,1,4,1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[4,2,3,-2,4,-1,3,-1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[1,1,3,1],[3,2,4,1,1,1,4,-1,3,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,
2,-1,1,-1,2,-1],[3,1,1,1,3,-2,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[1,1,3,1],[3,2,4,2]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[
1,1,2,-1,1,1],[4,1,3,-1,4,1,3,-1,4,-1]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,
2,-1],[1,1,2,-1,1,1],[3,1,4,1],[5,1,3,-1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-2,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,2],[4,1,1,1,4,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[4,1,3,-2,4,-1,1,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[3,2],[4,1,1,1,4,1,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[3,-2,1,1,3,-2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,
1,3,1,1,1],[4,1,5,-1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[3,2],[4,1,1,1,4,1,1,1,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,1,1,4,-1,3,2]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,
-1,1,-1,2,-1],[1,1,3,-2,1,1,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,
-1,2,-1],[1,1,3,1],[4,1,3,1,1,1,4,-1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-2,1,1,2,1],[1,1,3,1],[3,2,4,1,1,1,4,-1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,1,1,
1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,
1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,
1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[3,1,1,1],[1,1,3,1,4,-2,1,1]]],[[[1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,
2,1,1,-1,2,-1,1,-1,2,-1],[3,-1,1,1,3,2]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,
2,-1,1,-1,2,-1,1,1],[1,1,3,2]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[
1,1,3,2,1,1,3,-1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[
1,1,3,1,1,1,4,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,
1],[4,1,3,-1,1,1,3,2,1,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,
2,-1],[1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[
1,1,3,2,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,
3,-1,1,1,3,2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[1,1,3,-1,
1,1,4,1,1,1,4,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,
1],[3,1,4,-2,3,-1]],[[1,1,2,-1,1,1],[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,
3,1],[4,2,3,1,4,1]]],[[[1,1,2,-1,1,1],[3,-2]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,
1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1,4,-1,3,-1,4,1,3,1]]],[[[2,2,1,1,2,-1,1,-1,2,
-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1,4,1,3,1,4,-2,3,1]],[[2,2,1,1,2,-1,
1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[4,1,3,-1,4,-2,3,1,4,-1]]],[[[1,1,
2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,
2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-2,1,1,2,1],[1,1,3,1,1,1],[4,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[3,2],[1,1,4,1,1,1,3,-1,1,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,
-1,2,-1,1,-1,2,-1],[3,1,1,1,3,1,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1],[1,1,3,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,
-1],[1,1,3,2,1,1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2,1,1,
3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1,4,-1,1,1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,2,1,1,3,1,1,1,3,-1]]],[[[2,1,1,1,2,
1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,1,
1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[1,1,3,1],[4,2,1,1,3,-1]]],[[[1,1]],[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1,4,-1,1,1,4,1]],[[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,1],[5,1,4,1,1,1,4,-1,5,-1]]],[[[
2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[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],[3,1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-2,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,
1,4,1,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,-1,1,1,3,1]],[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-2,1,1,3,1,1,1]]],[[[2,2,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[3,-1],[5,1,4,-1,5,1,4,1,3,1,4,
1]],[[1,1,2,-1,1,1],[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,3,1],[4,2,3,-2,
4,1]]],[[[1,1,2,-1,1,1],[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,3,-1],[3,1,
4,-2]],[[2,2,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1],[1,1,2,-1,1,1],[4,1,3,-1,4,
-1,3,1,4,-1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2,1,1,3,
1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1,1,1],[4,1,3,-2,4,
1]]],[[[1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,1,1,1,3,
1]],[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1],[3,2],[4,1,1,1,4,
-1]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,-2,1,1,3,-1]]],[[[
2,1,1,1],[1,1,2,-1,3,-3,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,
1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,
1,-1,2,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1,1,1]]],[[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1,1,1,3,-2]],[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[1,1,3,2,1,1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,
1,4,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,-1,2,-1,1,-1,2,-1]],[[1,1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1]]],[[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,3,2]]],[[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1]],[[1,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1,1,
-1,2,1,1,1,2,-1]],[[1,1,2,-1,1,1]]],[[[1,1]],[[2,1]]]]);ACLT( "M22",
"sortperm",( 4, 6, 8)( 5, 9)( 11, 12)( 14, 25, 21, 23, 19, 17, 22, 24,
18, 20, 16)( 29, 37, 34, 30, 32)( 31, 33)( 38, 39)( 40, 41)( 42, 43)
( 44, 50)( 46, 47)( 49, 52, 51)( 53, 54)( 58, 63, 66, 60, 68, 64, 59, 67, 65)
( 61, 62)( 69, 75, 79, 74, 78, 76, 72, 70, 80, 73, 77, 71)( 81, 84, 82)
( 85, 91, 90, 89, 87)( 92, 93)( 96,100, 97,101, 98)(102,105,107,108,103,104)
(111,112)(113,115,118,117,119,116)(124,125)(126,127)(131,134,132)(138,141,140)
(147,148)(152,153));
ACLT( "M22",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,2,2,1],[4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,2,2,1,3,1,4,-1],[5,2]]],[[[1,1,2,1],[2,1,1,1],[2,-2],[5,1,4,1,2,-1,3,
-2,5,1,1,1,2,-1,4,-1,3,-2],[6,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,1,3,-1,4,
1]]],,,,[[[2,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,3,3,-1]]],,[[[1,1,2,1],[2,-2,1,
1,3,-1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,-1,2,1,1,1,4,1,3,-1,2,-2],[5,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,-1,2,1,1,1,2,-2,4,1,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,
3,1,2,1,1,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,
1,1,1,4,-1]],[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]]]]);
LIBTOM( "M22.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,8],[1,2,9],[1,2,3,10],[1,2,
3,11],[1,2,4,12],[1,2,13],[1,2,3,4,14],[1,2,15],[1,2,4,16],[1,2,17],[1,2,18],[
1,19],[1,3,5,20],[1,2,5,21],[1,3,5,22],[1,4,5,23],[1,2,5,24],[1,25],[1,2,15,
26],[1,2,9,17,27],[1,2,8,15,17,28],[1,2,3,11,17,29],[1,2,3,4,10,12,14,17,30],[
1,2,4,12,16,17,31],[1,2,3,11,15,32],[1,2,6,33],[1,2,3,4,8,12,14,34],[1,2,3,4,
11,12,14,15,35],[1,2,3,4,9,14,16,36],[1,2,3,4,8,10,11,14,37],[1,2,6,38],[1,2,
6,7,39],[1,2,6,13,40],[1,2,6,17,41],[1,2,6,15,42],[1,2,7,17,43],[1,2,13,17,
44],[1,2,17,18,45],[1,2,13,15,46],[1,2,6,47],[1,2,3,6,10,13,48],[1,2,3,6,11,
13,49],[1,2,3,4,7,14,18,50],[1,2,4,7,13,16,51],[1,2,3,9,10,18,52],[1,2,4,12,
13,15,53],[1,2,3,11,13,17,54],[1,2,3,11,13,15,55],[1,2,4,9,12,18,56],[1,2,4,8,
16,18,57],[1,2,3,6,11,58],[1,2,3,4,7,10,16,59],[1,2,4,7,12,16,60],[1,2,3,4,6,
11,12,61],[1,2,4,6,16,62],[1,2,6,15,63],[1,2,6,15,17,64],[1,2,7,8,9,65],[1,2,
4,6,12,13,66],[1,2,3,10,11,15,67],[1,5,68],[1,4,19,69],[1,2,19,70],[1,4,19,
71],[1,72],[1,2,5,9,73],[1,2,5,15,74],[1,2,5,9,75],[1,2,5,17,76],[1,2,5,8,
77],[1,2,5,9,21,78],[1,2,3,5,10,21,22,79],[1,2,5,7,21,80],[1,2,3,4,5,14,20,21,
23,81],[1,2,4,5,16,21,23,82],[1,2,3,4,5,14,22,23,24,83],[1,2,3,5,11,20,22,24,
84],[1,2,5,8,21,24,85],[1,2,5,18,21,86],[1,3,25,87],[1,2,9,17,27,88],[1,2,8,
15,17,28,89],[1,2,3,4,9,10,12,14,16,17,27,30,31,36,90],[1,2,3,10,11,15,26,32,
67,91],[1,2,3,4,8,10,11,12,14,15,17,28,30,34,35,37,92],[1,2,3,4,8,10,11,12,14,
15,17,28,29,30,35,37,67,93],[1,2,9,17,18,27,45,94],[1,2,3,4,6,10,12,13,14,17,
30,41,44,48,66,95],[1,2,4,7,12,13,16,17,31,43,44,51,96],[1,2,3,6,10,11,13,15,
42,46,48,49,67,97],[1,2,3,4,7,10,12,14,17,18,30,43,45,50,98],[1,2,6,17,41,
99],[1,2,7,17,43,100],[1,2,6,17,18,41,45,101],[1,2,7,17,18,43,45,102],[1,2,6,
13,17,18,41,44,45,103],[1,2,7,13,17,18,43,44,45,104],[1,2,3,6,10,13,38,40,48,
105],[1,2,6,7,17,39,41,43,106],[1,2,3,9,11,13,17,27,29,44,54,107],[1,2,4,8,12,
13,15,16,17,28,31,44,53,108],[1,2,4,8,12,15,16,17,18,28,31,45,57,109],[1,2,3,
8,11,13,15,17,28,32,46,54,55,110],[1,2,3,4,11,12,13,14,15,26,35,46,53,55,
111],[1,2,3,4,9,10,12,14,17,18,27,30,45,52,56,112],[1,2,4,9,12,16,17,18,27,31,
45,56,113],[1,2,3,4,6,11,12,16,17,29,31,41,61,114],[1,2,4,6,12,16,17,31,41,62,
115],[1,2,3,4,6,11,12,14,15,32,35,42,58,61,116],[1,2,3,4,7,10,12,14,16,17,30,
31,43,59,60,117],[1,2,3,6,10,11,13,15,48,55,58,63,67,118],[1,2,3,4,6,11,12,13,
14,15,32,35,49,53,55,61,63,119],[1,2,3,4,6,10,11,12,13,14,15,17,30,48,53,54,
61,64,67,120],[1,2,3,6,11,13,15,17,29,32,49,54,55,58,64,121],[1,2,3,4,6,11,12,
13,14,15,16,17,31,35,53,54,61,64,66,122],[1,2,3,4,7,8,9,12,14,16,18,34,36,50,
56,57,60,65,123],[1,2,3,4,7,8,9,10,11,14,16,18,36,37,50,52,57,59,65,124],[1,2,
6,8,9,15,17,27,28,41,64,125],[1,2,6,8,15,17,26,28,42,63,64,126],[1,2,7,8,9,15,
17,27,28,43,65,127],[1,2,7,8,15,17,28,43,128],[1,2,7,9,17,27,43,129],[1,2,6,8,
15,17,28,42,130],[1,2,6,7,8,15,17,28,41,43,131],[1,2,6,7,9,17,27,41,43,132],[
1,2,8,15,17,18,28,45,133],[1,2,9,13,17,27,44,134],[1,2,8,13,15,17,18,28,44,45,
135],[1,2,8,13,15,17,28,46,136],[1,2,4,7,12,16,17,18,31,43,45,137],[1,2,3,7,
11,17,18,29,43,45,138],[1,2,3,4,6,10,12,14,17,18,30,41,45,139],[1,2,3,4,7,10,
12,13,14,17,30,43,44,140],[1,2,3,4,6,11,12,13,14,15,35,42,46,141],[1,2,6,15,
17,38,41,42,63,64,142],[1,2,4,6,12,13,15,40,46,53,63,66,143],[1,2,3,6,11,13,
15,17,40,44,46,49,54,55,64,144],[1,2,3,6,11,13,17,40,41,49,54,58,145],[1,2,3,
4,6,11,12,13,15,40,42,49,53,55,61,66,146],[1,2,3,4,6,11,12,13,38,49,58,61,66,
147],[1,2,4,6,7,12,13,16,39,51,60,62,66,148],[1,2,3,4,6,7,10,13,16,39,48,51,
59,62,149],[1,2,6,17,41,47,150],[1,2,3,6,10,13,33,47,48,151],[1,2,4,6,12,13,
33,47,66,152],[1,2,6,17,33,41,153],[1,2,3,4,6,11,16,33,58,62,154],[1,2,4,6,15,
16,47,62,63,155],[1,2,4,6,16,38,47,62,156],[1,2,3,6,7,11,39,47,58,157],[1,2,4,
6,13,16,33,40,62,158],[1,2,6,7,15,33,39,63,159],[1,2,6,7,13,39,40,47,160],[1,
2,6,7,33,38,39,161],[1,2,5,24,68,162],[1,3,5,20,22,68,163],[1,2,4,16,19,69,70,
71,164],[1,2,7,19,70,165],[1,2,13,19,70,166],[1,5,25,167],[1,4,72,168],[1,2,3,
5,9,10,18,20,52,73,169],[1,2,4,5,9,12,18,23,56,73,170],[1,2,3,5,11,13,15,20,
55,74,171],[1,2,4,5,12,13,15,23,53,74,172],[1,2,3,5,11,13,17,20,54,76,173],[1,
2,4,5,8,16,18,23,57,77,174],[1,2,5,6,15,24,63,74,175],[1,2,5,6,15,17,24,64,74,
176],[1,2,5,7,8,9,24,65,73,177],[1,2,5,6,15,17,24,64,76,178],[1,2,5,7,8,9,24,
65,77,179],[1,2,5,7,8,9,24,65,75,180],[1,2,5,9,17,21,27,73,181],[1,2,5,15,21,
26,74,182],[1,2,3,5,10,11,15,22,67,74,183],[1,2,3,4,5,9,14,16,22,36,73,184],[
1,2,3,5,11,15,22,32,74,185],[1,2,3,5,11,17,22,29,76,186],[1,2,3,4,5,8,12,14,
22,34,77,187],[1,2,3,4,5,9,14,16,20,21,23,36,78,81,82,188],[1,2,3,4,5,8,10,11,
14,20,21,22,23,24,37,79,81,83,84,85,189],[1,2,5,6,21,38,190],[1,2,5,7,8,9,21,
24,65,78,80,85,191],[1,2,3,4,5,7,10,16,21,22,23,59,79,80,82,192],[1,2,3,5,9,
10,18,21,22,52,78,79,86,193],[1,2,3,4,5,7,14,18,20,21,23,50,80,81,86,194],[1,
2,4,5,8,16,18,21,23,24,57,82,85,86,195],[1,2,3,4,8,10,11,12,14,15,17,28,29,30,
34,35,37,67,89,92,93,196],[1,2,6,8,9,15,17,26,27,28,38,41,42,63,64,125,126,
142,197],[1,2,3,6,8,9,11,13,15,17,27,28,29,32,40,41,44,46,49,54,55,58,64,107,
110,121,125,144,145,198],[1,2,3,4,6,8,11,12,13,14,15,16,17,26,28,31,32,35,40,
42,44,46,49,53,54,55,61,63,64,66,108,110,111,119,122,126,143,144,146,199],[1,
2,3,4,6,11,12,13,14,15,16,17,29,31,32,35,38,40,41,42,49,53,54,55,58,61,63,64,
66,114,116,119,121,122,142,145,146,147,200],[1,2,3,4,9,10,12,14,16,17,18,27,
30,31,36,45,52,56,88,90,94,112,113,201],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
17,27,28,29,30,31,35,36,37,41,44,48,53,54,61,64,66,67,90,93,95,107,108,114,
120,122,125,202],[1,2,3,4,6,8,10,11,12,13,14,15,17,26,28,29,30,32,35,37,42,46,
48,49,53,54,55,58,61,63,64,67,91,93,97,110,111,116,118,119,120,121,126,203],[
1,2,3,4,7,8,9,10,11,12,14,15,16,17,18,27,28,30,31,34,35,36,37,43,45,50,52,56,
57,59,60,65,90,92,98,109,112,117,123,124,127,204],[1,2,3,9,11,13,17,27,29,44,
54,88,107,134,205],[1,2,3,8,11,13,15,17,28,32,46,54,55,89,110,136,206],[1,2,4,
8,12,13,15,16,17,18,28,31,44,45,53,57,89,108,109,133,135,207],[1,2,3,4,6,8,9,
10,11,12,14,15,17,18,27,28,30,34,35,37,41,45,52,56,64,92,112,125,133,139,
208],[1,2,3,4,6,8,10,11,12,13,14,15,17,26,28,30,34,35,37,42,46,53,55,63,64,92,
111,126,136,141,209],[1,2,3,4,7,8,9,10,11,12,13,14,15,17,18,27,28,29,30,35,37,
43,44,45,52,54,56,65,67,93,107,112,127,135,138,140,210],[1,2,3,4,7,8,10,11,12,
13,14,15,16,17,28,30,31,34,35,37,43,44,53,59,60,92,108,117,128,140,211],[1,2,
3,4,6,7,8,10,11,12,14,15,16,17,18,28,29,30,31,35,37,41,43,45,57,59,60,61,67,
93,109,114,117,131,138,139,212],[1,2,3,4,6,8,10,11,12,13,14,15,17,28,30,32,34,
35,37,42,46,54,55,58,61,92,110,116,130,141,213],[1,2,3,4,6,7,9,10,12,14,16,17,
18,27,30,31,36,41,43,45,56,59,60,62,90,113,115,117,132,137,139,214],[1,2,6,8,
15,17,26,28,42,63,64,89,126,130,215],[1,2,6,7,8,9,15,17,27,28,41,43,64,65,89,
125,127,128,131,216],[1,2,6,7,8,9,15,17,27,28,41,43,64,65,88,125,127,129,132,
217],[1,2,3,4,6,11,12,16,17,29,31,41,61,62,99,114,115,218],[1,2,4,6,8,9,12,15,
16,17,18,27,28,31,41,45,56,57,62,64,101,109,113,115,125,219],[1,2,3,7,11,17,
18,29,43,45,100,102,138,220],[1,2,6,7,8,13,15,17,18,28,41,43,44,45,101,102,
103,104,131,133,135,221],[1,2,6,7,8,9,15,17,27,28,39,41,43,64,99,106,125,131,
132,222],[1,2,6,7,8,9,15,17,27,28,39,41,43,65,100,106,127,128,129,131,132,
223],[1,2,3,4,6,7,11,12,16,17,18,29,31,39,41,43,45,61,101,106,114,137,138,
224],[1,2,3,7,9,11,13,17,18,27,29,43,44,45,54,94,104,107,129,138,225],[1,2,6,
8,9,13,15,17,18,27,28,41,44,45,64,94,103,125,134,135,226],[1,2,3,4,6,7,9,10,
12,13,14,17,18,27,30,41,43,44,45,48,52,56,66,95,103,104,112,132,134,140,227],[
1,2,4,7,8,12,13,15,16,17,18,28,31,43,44,45,51,57,96,102,104,109,128,135,137,
228],[1,2,3,4,7,9,10,12,13,14,16,17,27,30,31,36,43,44,51,90,96,129,134,140,
229],[1,2,3,4,7,8,10,11,12,14,15,17,18,28,29,30,35,37,43,45,50,67,93,98,128,
133,138,230],[1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,28,30,34,35,37,41,43,44,
45,48,50,66,92,95,98,131,135,139,140,231],[1,2,3,4,6,8,10,11,12,13,14,15,17,
28,29,30,35,37,42,46,48,49,67,93,97,130,136,141,232],[1,2,6,8,9,15,17,27,28,
41,42,64,125,130,233],[1,2,6,7,8,9,15,17,27,28,41,43,64,125,129,234],[1,2,6,7,
8,15,17,26,28,42,43,63,64,126,128,130,235],[1,2,6,8,9,13,15,17,27,28,41,44,64,
125,134,236],[1,2,6,8,9,13,15,17,27,28,41,46,64,125,136,237],[1,2,6,8,13,15,
17,18,26,28,42,45,46,63,64,126,133,136,238],[1,2,3,7,8,11,13,15,17,28,32,43,
46,54,55,110,128,136,239],[1,2,3,6,8,11,13,15,17,18,28,32,42,45,46,54,55,110,
130,133,240],[1,2,4,6,8,12,13,15,16,17,28,31,42,44,46,53,108,130,136,241],[1,
2,3,7,9,11,13,17,27,29,43,44,54,107,129,134,242],[1,2,3,4,6,7,10,12,13,14,16,
17,30,31,39,41,43,44,48,51,59,60,62,66,95,96,106,115,117,148,149,243],[1,2,3,
4,6,10,11,12,13,14,15,17,30,38,40,41,42,44,46,48,49,53,54,55,58,61,63,64,66,
67,95,97,105,118,120,142,143,144,145,146,147,244],[1,2,6,8,9,15,17,27,28,41,
47,64,125,150,245],[1,2,3,4,6,11,12,16,17,29,31,33,41,47,61,114,150,153,246],[
1,2,6,8,9,15,17,27,28,33,41,64,125,153,247],[1,2,3,4,6,10,12,13,14,17,18,30,
41,44,45,48,66,95,99,101,103,139,248],[1,2,3,4,7,9,10,12,14,16,17,18,27,30,31,
43,45,50,52,56,59,60,98,102,112,113,117,129,137,249],[1,2,3,4,6,7,9,11,12,13,
16,17,18,27,29,31,41,43,44,45,51,54,56,61,96,103,107,113,114,132,138,250],[1,
2,4,6,7,8,12,13,15,16,17,18,28,31,41,43,44,45,51,53,57,62,96,103,108,109,115,
131,137,251],[1,2,4,7,8,9,12,15,16,17,18,27,28,31,43,45,56,57,65,94,102,109,
113,127,133,137,252],[1,2,4,7,8,9,12,13,15,16,17,18,27,28,31,43,44,45,51,53,
56,65,96,104,108,113,127,134,135,253],[1,2,6,15,17,18,38,41,42,45,47,63,64,
101,142,150,254],[1,2,3,6,11,13,17,40,41,47,49,54,58,99,145,150,255],[1,2,3,6,
11,13,17,18,33,40,41,45,49,54,58,101,145,153,256],[1,2,6,15,17,33,38,41,42,63,
64,99,142,153,257],[1,2,3,6,7,11,13,17,39,40,41,43,47,49,54,58,106,145,150,
157,160,258],[1,2,3,4,6,7,10,13,16,33,38,39,40,47,48,51,59,62,105,149,151,156,
158,160,161,259],[1,2,6,7,15,17,33,38,39,41,42,43,63,64,106,142,153,159,161,
260],[1,2,3,4,6,7,10,12,13,14,17,18,30,39,41,43,44,45,50,98,102,103,104,106,
139,140,261],[1,2,3,4,6,7,9,10,12,14,17,18,27,30,41,43,45,50,52,56,94,98,101,
102,112,132,139,262],[1,2,3,4,7,10,12,13,14,16,17,18,30,31,43,44,45,50,51,59,
60,96,98,100,104,117,137,140,263],[1,2,3,4,6,11,12,13,16,17,31,33,40,41,49,54,
58,62,115,145,153,154,158,264],[1,2,4,6,12,15,16,17,31,38,41,42,47,62,63,64,
115,142,150,155,156,265],[1,2,3,4,6,7,10,11,13,15,16,33,39,47,48,51,55,58,59,
62,63,67,118,149,151,154,155,157,159,266],[1,2,3,4,6,10,12,13,14,17,30,33,41,
44,47,48,66,95,150,151,152,153,267],[1,2,4,6,7,12,13,15,16,33,39,40,46,47,51,
53,60,62,63,66,143,148,152,155,158,159,160,268],[1,2,3,4,6,7,11,12,13,16,33,
38,39,47,49,51,58,60,61,62,66,147,148,152,154,156,157,161,269],[1,2,5,6,24,68,
162,270],[1,2,5,7,24,68,162,271],[1,2,5,9,21,68,73,75,78,272],[1,2,3,5,11,20,
22,24,68,84,162,163,273],[1,2,4,7,13,16,19,51,69,70,71,164,165,166,274],[1,3,
5,22,25,87,167,275],[1,2,5,9,17,27,75,76,88,276],[1,2,5,8,15,17,28,74,76,77,
89,277],[1,2,5,9,17,21,27,73,78,88,181,278],[1,2,3,4,5,9,10,12,14,16,17,21,22,
27,30,31,36,73,79,90,181,184,279],[1,2,3,5,10,11,15,21,22,26,32,67,74,79,91,
182,183,185,280],[1,2,5,6,17,41,76,99,281],[1,2,5,7,17,43,76,100,282],[1,2,5,
6,7,9,17,21,27,41,43,73,80,132,181,283],[1,2,3,4,5,9,10,12,14,17,18,20,21,23,
27,30,45,52,56,73,81,112,169,170,181,284],[1,2,4,5,9,12,16,17,18,21,23,27,31,
45,56,73,82,113,170,181,285],[1,2,3,4,5,11,12,13,14,15,20,21,23,26,35,46,53,
55,74,81,111,171,172,182,286],[1,2,3,4,5,7,8,9,10,11,14,16,18,20,22,24,36,37,
50,52,57,59,65,73,84,124,169,177,184,287],[1,2,3,5,6,11,13,15,17,20,22,24,29,
32,49,54,55,58,64,74,84,121,171,176,185,288],[1,2,3,4,5,6,11,12,13,14,15,22,
23,24,32,35,49,53,55,61,63,74,83,119,172,175,185,289],[1,2,3,4,5,7,8,9,12,14,
16,18,22,23,24,34,36,50,56,57,60,65,73,83,123,170,177,184,290],[1,2,3,4,5,6,
10,11,12,13,14,15,17,22,23,24,30,48,53,54,61,64,67,74,83,120,172,176,183,
291],[1,2,3,5,6,10,11,13,15,20,22,24,48,55,58,63,67,74,84,118,171,175,183,
292],[1,2,3,5,6,11,13,15,17,20,22,24,29,32,49,54,55,58,64,76,84,121,173,178,
186,293],[1,2,3,4,5,7,8,9,12,14,16,18,22,23,24,34,36,50,56,57,60,65,77,83,123,
174,179,187,294],[1,2,5,7,8,9,15,17,21,24,27,28,43,65,73,85,127,177,181,295],[
1,2,5,6,8,15,17,21,24,26,28,42,63,64,74,85,126,175,176,182,296],[1,2,5,9,17,
18,21,27,45,73,86,94,181,297],[1,2,4,5,6,16,21,23,38,47,62,82,156,190,298],[1,
2,5,6,7,21,33,38,39,80,161,190,299],[1,2,3,5,6,10,13,21,22,38,40,48,79,105,
190,300],[1,2,3,4,5,7,8,9,10,11,14,16,18,20,21,22,23,24,36,37,50,52,57,59,65,
78,79,80,81,82,83,84,85,86,124,188,189,191,192,193,194,195,301],[1,19,72,
302],[1,2,15,25,26,303],[1,2,5,15,19,24,70,74,304],[1,2,5,17,19,24,70,76,
305],[1,2,5,9,19,24,70,75,306],[1,2,5,8,19,24,70,77,307],[1,2,6,8,9,13,15,17,
18,26,27,28,38,41,42,44,45,63,64,94,103,125,126,134,135,142,197,226,236,308],[
1,2,3,6,7,8,9,11,13,15,17,18,27,28,29,32,40,41,43,44,45,46,49,54,55,58,64,94,
103,104,107,110,121,125,129,134,135,138,144,145,198,225,226,234,242,309],[1,2,
6,7,8,9,15,17,27,28,39,41,43,64,65,88,89,99,100,106,125,127,128,129,131,132,
216,217,222,223,310],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,26,27,28,29,30,31,
32,35,36,37,38,40,41,42,44,46,48,49,53,54,55,58,61,63,64,66,67,90,91,93,95,97,
105,107,108,110,111,114,116,118,119,120,121,122,125,126,142,143,144,145,146,
147,197,198,199,200,202,203,244,311],[1,2,6,7,8,9,15,17,26,27,28,38,41,42,43,
63,64,65,88,125,126,127,129,132,142,197,217,234,312],[1,2,6,7,8,9,15,17,26,27,
28,38,41,42,43,63,64,65,89,125,126,127,128,130,131,142,197,215,216,233,235,
313],[1,2,3,4,6,8,9,10,11,12,13,14,15,17,18,26,27,28,30,34,35,37,38,41,42,45,
46,52,53,55,56,63,64,92,111,112,125,126,133,136,139,141,142,197,208,209,237,
238,314],[1,2,3,6,7,8,9,11,13,15,17,27,28,29,32,40,41,43,44,46,49,54,55,58,64,
65,89,107,110,121,125,127,128,131,136,144,145,198,206,216,237,239,315],[1,2,3,
6,7,8,9,11,13,15,17,27,28,29,32,40,41,43,44,46,49,54,55,58,64,65,88,107,110,
121,125,127,129,132,134,144,145,198,205,217,236,242,316],[1,2,3,4,6,8,11,12,
13,14,15,16,17,18,26,28,31,32,35,40,42,44,45,46,49,53,54,55,57,61,63,64,66,89,
108,109,110,111,119,122,126,130,133,135,136,143,144,146,199,206,207,215,238,
240,241,317],[1,2,3,4,6,8,9,10,11,12,13,14,15,17,18,27,28,29,30,32,34,35,37,
40,41,42,44,45,46,49,52,54,55,56,58,61,64,92,107,110,112,116,121,125,130,133,
139,141,144,145,198,208,213,233,240,318],[1,2,3,4,6,7,8,10,11,12,13,14,15,16,
17,26,28,30,31,32,34,35,37,40,42,43,44,46,49,53,54,55,58,59,60,61,63,64,66,92,
108,110,111,116,117,119,122,126,128,130,136,140,141,143,144,146,199,209,211,
213,235,239,241,319],[1,2,3,4,6,8,10,11,12,13,14,15,17,26,28,29,30,32,34,35,
37,42,46,48,49,53,54,55,58,61,63,64,67,89,91,92,93,97,110,111,116,118,119,120,
121,126,130,136,141,196,203,206,209,213,215,232,320],[1,2,3,4,6,7,8,9,10,11,
12,13,14,15,16,17,18,27,28,29,30,31,34,35,36,37,41,43,44,45,48,50,52,53,54,56,
57,59,60,61,64,65,66,67,89,90,92,93,95,98,107,108,109,112,114,117,120,122,123,
124,125,127,128,131,133,135,138,139,140,196,202,204,207,208,210,211,212,216,
230,231,321],[1,2,6,8,9,13,15,17,18,27,28,33,41,44,45,46,64,94,103,125,134,
135,136,153,226,237,247,322],[1,2,6,8,9,13,15,17,18,27,28,41,42,44,45,47,64,
94,103,125,130,134,135,150,226,233,245,323],[1,2,4,6,8,9,12,15,16,17,18,26,27,
28,31,38,41,42,45,47,56,57,62,63,64,101,109,113,115,125,126,142,150,155,156,
197,219,245,254,265,324],[1,2,3,4,6,8,9,11,12,13,15,16,17,18,27,28,29,31,32,
33,40,41,44,45,46,49,54,55,56,57,58,62,64,101,107,109,110,113,115,121,125,144,
145,153,154,158,198,219,247,256,264,325],[1,2,3,4,6,11,12,13,14,15,16,17,29,
31,32,33,35,38,40,41,42,47,49,53,54,55,58,61,62,63,64,66,99,114,115,116,119,
121,122,142,145,146,147,150,153,154,155,156,158,200,218,246,255,257,264,265,
326],[1,2,3,4,6,8,9,10,11,12,13,14,15,17,18,27,28,30,33,34,35,37,41,44,45,52,
56,64,92,112,125,133,134,139,153,208,236,247,327],[1,2,3,4,6,7,8,9,10,11,12,
14,15,17,18,27,28,30,34,35,37,41,43,45,47,52,56,64,92,112,125,129,133,139,150,
208,234,245,328],[1,2,6,7,8,9,13,15,17,27,28,41,43,44,47,64,65,89,125,127,128,
131,134,150,216,236,245,329],[1,2,6,7,8,9,13,15,17,27,28,41,43,46,47,64,65,88,
125,127,129,132,136,150,217,237,245,330],[1,2,6,7,8,9,15,17,27,28,33,41,43,64,
65,89,125,127,128,129,131,153,216,234,247,331],[1,2,6,7,8,9,15,17,27,28,33,41,
42,43,64,65,88,125,127,129,130,132,153,217,233,247,332],[1,2,4,6,7,8,9,12,13,
15,16,17,18,27,28,31,41,43,45,46,56,57,62,64,101,109,113,115,125,129,136,219,
234,237,333],[1,2,4,6,8,9,12,13,15,16,17,18,27,28,31,41,42,44,45,56,57,62,64,
101,109,113,115,125,130,134,219,233,236,334],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,17,18,27,28,29,30,31,35,36,37,39,41,43,44,45,48,51,53,54,56,57,59,60,61,
62,64,66,67,90,93,95,96,99,101,103,106,107,108,109,113,114,115,117,120,122,
125,131,132,137,138,139,148,149,202,212,214,218,219,222,224,243,248,250,251,
335],[1,2,3,6,7,8,9,11,13,15,17,27,28,29,32,39,40,41,43,44,46,47,49,54,55,58,
64,99,106,107,110,121,125,131,132,144,145,150,157,160,198,222,245,255,258,
336],[1,2,3,4,6,7,11,12,13,14,15,16,17,18,29,31,32,33,35,38,39,40,41,42,43,45,
47,49,53,54,55,58,61,63,64,66,101,106,114,116,119,121,122,137,138,142,145,146,
147,150,153,157,159,160,161,200,224,246,254,256,258,260,337],[1,2,6,7,8,9,15,
17,26,27,28,33,38,39,41,42,43,63,64,99,106,125,126,131,132,142,153,159,161,
197,222,247,257,260,338],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,27,28,30,34,
35,37,39,41,43,44,45,48,50,52,56,64,66,92,94,95,98,99,101,102,103,104,106,112,
125,131,132,133,134,135,139,140,208,221,222,226,227,231,248,261,262,339],[1,2,
4,6,7,8,9,12,13,15,16,17,18,27,28,31,41,43,44,45,51,53,56,57,62,64,65,89,94,
96,101,102,103,104,108,109,113,115,125,127,128,131,133,134,135,137,207,216,
219,221,226,228,251,252,253,340],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,
27,28,29,30,31,35,36,37,41,43,44,45,48,51,52,53,54,56,61,64,65,66,67,88,90,93,
94,95,96,103,104,107,108,112,113,114,120,122,125,127,129,132,134,135,138,140,
201,202,205,210,217,225,226,227,229,250,253,341],[1,2,3,4,6,8,9,10,11,12,13,
14,15,16,17,27,28,29,30,31,35,36,37,41,42,44,46,48,49,53,54,61,64,66,67,90,93,
95,97,107,108,114,120,122,125,130,136,141,202,232,233,237,241,342],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,27,28,29,30,31,35,36,37,41,43,44,48,51,53,54,61,
64,66,67,90,93,95,96,107,108,114,120,122,125,129,134,140,202,229,234,236,242,
343],[1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,26,28,29,30,32,35,37,42,43,45,46,
48,49,50,53,54,55,58,61,63,64,67,91,93,97,98,110,111,116,118,119,120,121,126,
128,130,133,136,138,141,203,230,232,235,238,239,240,344],[1,2,3,4,6,7,8,9,10,
11,12,14,15,16,17,18,27,28,30,31,34,35,36,37,41,43,45,50,52,56,57,59,60,62,64,
65,88,90,92,94,98,101,102,109,112,113,115,117,123,124,125,127,129,132,133,137,
139,201,204,208,214,217,219,249,252,262,345],[1,2,6,7,8,9,13,15,17,27,28,39,
41,43,44,46,64,99,106,125,131,132,134,136,222,236,237,346],[1,2,6,7,8,9,15,17,
27,28,39,41,42,43,64,99,106,125,129,130,131,132,222,233,234,347],[1,2,3,4,6,8,
9,10,11,12,13,14,15,16,17,27,28,29,30,31,33,35,36,37,41,44,47,48,53,54,61,64,
66,67,90,93,95,107,108,114,120,122,125,150,151,152,153,202,245,246,247,267,
348],[1,2,3,4,6,10,11,12,13,14,15,17,18,30,33,38,40,41,42,44,45,46,47,48,49,
53,54,55,58,61,63,64,66,67,95,97,99,101,103,105,118,120,139,142,143,144,145,
146,147,150,151,152,153,244,248,254,255,256,257,267,349],[1,2,3,4,6,7,10,11,
12,13,14,15,16,17,30,31,33,38,39,40,41,42,43,44,46,47,48,49,51,53,54,55,58,59,
60,61,62,63,64,66,67,95,96,97,105,106,115,117,118,120,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,243,244,258,259,260,
264,265,266,267,268,269,350],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,
28,29,30,31,35,37,39,41,43,44,45,50,51,52,54,56,57,59,60,61,65,67,93,94,96,98,
100,101,102,103,104,106,107,109,112,113,114,117,127,128,129,131,132,133,135,
137,138,139,140,210,212,220,221,223,224,225,228,230,249,250,252,261,262,263,
351],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,30,31,34,35,36,37,39,
41,43,44,45,48,50,51,52,53,56,57,59,60,62,65,66,90,92,95,96,98,100,102,103,
104,106,108,109,112,113,115,117,123,124,127,128,129,131,132,134,135,137,139,
140,148,149,204,211,214,223,227,228,229,231,243,249,251,253,261,263,352],[1,2,
3,4,5,9,14,16,20,21,22,23,36,68,73,75,78,81,82,163,184,188,272,353],[1,2,3,5,
6,11,20,22,24,58,68,84,162,163,270,273,354],[1,2,5,6,7,24,39,68,162,270,271,
355],[1,2,5,7,8,9,21,24,65,68,73,75,78,80,85,162,177,180,191,272,356],[1,2,5,
6,24,47,68,162,270,357],[1,2,3,5,9,10,18,20,21,22,52,68,73,75,78,79,86,163,
169,193,272,358],[1,2,8,15,17,19,28,89,359],[1,2,9,17,19,27,88,360],[1,2,5,6,
8,9,15,17,21,26,27,28,38,41,42,63,64,73,74,125,126,142,181,182,190,197,361],[
1,2,3,5,9,11,13,17,20,27,29,44,54,75,76,88,107,134,173,205,276,362],[1,2,4,5,
8,12,13,15,16,17,18,23,28,31,44,45,53,57,74,76,77,89,108,109,133,135,172,174,
207,277,363],[1,2,3,5,8,11,13,15,17,20,28,32,46,54,55,74,76,77,89,110,136,171,
173,206,277,364],[1,2,5,6,8,15,17,24,26,28,42,63,64,74,76,77,89,126,130,175,
178,215,277,365],[1,2,5,6,7,8,9,15,17,24,27,28,41,43,64,65,74,76,77,89,125,
127,128,131,176,179,216,277,366],[1,2,5,6,7,8,9,15,17,24,27,28,41,43,64,65,75,
76,88,125,127,129,132,178,180,217,276,367],[1,2,3,4,5,9,10,12,14,16,17,18,20,
21,23,27,30,31,36,45,52,56,73,78,81,82,88,90,94,112,113,169,170,181,188,201,
278,284,285,368],[1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,27,
28,30,31,34,35,36,37,43,45,50,52,56,57,59,60,65,73,79,81,83,84,85,90,92,98,
109,112,117,123,124,127,169,170,177,181,184,189,204,279,284,287,290,295,369],[
1,2,3,4,5,6,8,10,11,12,13,14,15,17,20,21,22,23,24,26,28,29,30,32,35,37,42,46,
48,49,53,54,55,58,61,63,64,67,74,79,81,83,84,85,91,93,97,110,111,116,118,119,
120,121,126,171,172,175,176,182,183,185,189,203,280,286,288,289,291,292,296,
370],[1,2,3,4,5,8,10,11,12,14,15,17,22,28,29,30,34,35,37,67,74,76,77,89,92,93,
183,186,187,196,277,371],[1,2,5,6,8,15,17,21,26,28,42,63,64,74,76,77,89,126,
130,182,215,277,372],[1,2,3,5,8,11,13,15,17,22,28,32,46,54,55,74,76,77,89,110,
136,185,206,277,373],[1,2,3,5,9,11,13,17,22,27,29,44,54,75,76,88,107,134,186,
205,276,374],[1,2,4,5,7,8,9,12,15,16,17,18,21,23,24,27,28,31,43,45,56,57,65,
73,82,85,86,94,102,109,113,127,133,137,170,177,181,195,252,285,295,297,375],[
1,2,3,4,5,6,11,12,16,17,22,29,31,41,61,62,76,99,114,115,186,218,281,376],[1,2,
3,5,6,11,13,17,20,40,41,47,49,54,58,76,99,145,150,173,255,281,377],[1,2,5,6,
15,17,24,33,38,41,42,63,64,76,99,142,153,178,257,281,378],[1,2,3,4,5,6,7,9,10,
12,14,16,17,18,21,22,23,27,30,31,36,41,43,45,56,59,60,62,73,79,80,82,90,113,
115,117,132,137,139,170,181,184,192,214,279,283,285,379],[1,2,5,6,7,8,9,15,17,
21,24,27,28,41,43,64,65,73,78,80,85,88,125,127,129,132,177,181,191,217,278,
283,295,380],[1,2,3,4,5,6,7,9,10,12,14,17,18,20,21,23,27,30,41,43,45,50,52,56,
73,80,81,86,94,98,101,102,112,132,139,169,170,181,194,262,283,284,297,381],[1,
2,3,4,5,9,10,12,14,16,17,18,21,22,27,30,31,36,45,52,56,73,78,79,86,88,90,94,
112,113,181,184,193,201,278,279,297,382],[1,2,3,5,7,11,17,18,22,29,43,45,76,
100,102,138,186,220,282,383],[1,2,3,4,5,6,7,10,13,16,21,22,23,33,38,39,40,47,
48,51,59,62,79,80,82,105,149,151,156,158,160,161,190,192,259,298,299,300,
384],[1,4,19,71,72,168,302,385],[1,2,3,10,11,15,25,26,32,67,87,91,303,386],[1,
2,3,5,11,13,15,19,20,22,24,55,70,74,84,166,171,304,387],[1,2,3,5,11,13,17,19,
20,22,24,54,70,76,84,166,173,305,388],[1,2,5,7,8,9,19,21,24,65,70,75,85,165,
180,306,389],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,29,30,31,34,35,
36,37,39,41,43,44,45,48,50,51,52,53,54,56,57,59,60,61,62,64,65,66,67,88,89,90,
92,93,94,95,96,98,99,100,101,102,103,104,106,107,108,109,112,113,114,115,117,
120,122,123,124,125,127,128,129,131,132,133,134,135,137,138,139,140,148,149,
196,201,202,204,205,207,208,210,211,212,214,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,243,248,249,250,251,252,253,261,262,263,310,
321,335,339,340,341,345,351,352,390],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,26,27,28,29,30,31,32,35,36,37,38,40,41,42,43,44,45,46,48,49,51,52,53,54,55,
56,58,61,63,64,65,66,67,88,90,91,93,94,95,96,97,103,104,105,107,108,110,111,
112,113,114,116,118,119,120,121,122,125,126,127,129,132,134,135,138,140,142,
143,144,145,146,147,197,198,199,200,201,202,203,205,210,217,225,226,227,229,
234,236,242,244,250,253,308,309,311,312,316,341,343,391],[1,2,4,6,7,8,9,12,13,
15,16,17,18,26,27,28,31,38,41,42,43,44,45,47,51,53,56,57,62,63,64,65,89,94,96,
101,102,103,104,108,109,113,115,125,126,127,128,130,131,133,134,135,137,142,
150,155,156,197,207,215,216,219,221,226,228,233,235,236,245,251,252,253,254,
265,308,313,323,324,329,334,340,392],[1,2,3,4,6,7,8,9,11,12,13,15,16,17,18,27,
28,29,31,32,33,40,41,43,44,45,46,49,51,53,54,55,56,57,58,62,64,65,89,94,96,
101,102,103,104,107,108,109,110,113,115,121,125,127,128,129,131,133,134,135,
136,137,138,144,145,153,154,158,198,206,207,216,219,221,225,226,228,234,237,
239,242,247,251,252,253,256,264,309,315,322,325,331,333,340,393],[1,2,3,4,6,7,
8,9,10,11,12,13,14,15,17,18,26,27,28,30,33,34,35,37,38,39,41,42,43,44,45,46,
48,50,52,53,55,56,63,64,66,92,94,95,98,99,101,102,103,104,106,111,112,125,126,
131,132,133,134,135,136,139,140,141,142,153,159,161,197,208,209,221,222,226,
227,231,236,237,238,247,248,257,260,261,262,308,314,322,327,338,339,346,394],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,27,28,29,30,32,34,35,37,39,40,41,42,
43,44,45,46,47,48,49,50,52,54,55,56,58,61,64,66,92,94,95,98,99,101,102,103,
104,106,107,110,112,116,121,125,129,130,131,132,133,134,135,138,139,140,141,
144,145,150,157,160,198,208,213,221,222,225,226,227,231,233,234,240,242,245,
248,255,258,261,262,309,318,323,328,336,339,347,395],[1,2,3,4,6,7,8,9,10,11,
12,13,14,15,16,17,18,26,27,28,30,31,34,35,36,37,38,41,42,43,45,46,47,50,52,53,
55,56,57,59,60,62,63,64,65,88,90,92,94,98,101,102,109,111,112,113,115,117,123,
124,125,126,127,129,132,133,136,137,139,141,142,150,155,156,197,201,204,208,
209,214,217,219,234,237,238,245,249,252,254,262,265,312,314,324,328,330,333,
345,396],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,29,30,31,32,33,34,
35,36,37,40,41,42,43,44,45,46,49,50,52,54,55,56,57,58,59,60,61,62,64,65,88,90,
92,94,98,101,102,107,109,110,112,113,115,116,117,121,123,124,125,127,129,130,
132,133,134,137,139,141,144,145,153,154,158,198,201,204,205,208,213,214,217,
219,233,236,240,242,247,249,252,256,262,264,316,318,325,327,332,334,345,397],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,34,35,36,37,
38,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,
89,90,91,92,93,95,97,98,105,107,108,109,110,111,112,114,116,117,118,119,120,
121,122,123,124,125,126,127,128,130,131,133,135,136,138,139,140,141,142,143,
144,145,146,147,196,197,198,199,200,202,203,204,206,207,208,209,210,211,212,
213,215,216,230,231,232,233,235,237,238,239,240,241,244,311,313,314,315,317,
318,319,320,321,342,344,398],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,
28,29,30,31,33,34,35,36,37,41,43,44,45,47,48,50,51,52,53,54,56,57,59,60,61,64,
65,66,67,89,90,92,93,95,96,98,107,108,109,112,114,117,120,122,123,124,125,127,
128,129,131,133,134,135,138,139,140,150,151,152,153,196,202,204,207,208,210,
211,212,216,229,230,231,234,236,242,245,246,247,267,321,327,328,329,331,343,
348,399],[1,2,3,6,7,8,9,11,13,15,17,27,28,29,32,39,40,41,43,44,46,47,49,54,55,
58,64,65,88,89,99,100,106,107,110,121,125,127,128,129,131,132,134,136,144,145,
150,157,160,198,205,206,216,217,222,223,236,237,239,242,245,255,258,310,315,
316,329,330,336,346,400],[1,2,6,7,8,9,15,17,26,27,28,33,38,39,41,42,43,63,64,
65,88,89,99,100,106,125,126,127,128,129,130,131,132,142,153,159,161,197,215,
216,217,222,223,233,234,235,247,257,260,310,312,313,331,332,338,347,401],[1,2,
3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,66,67,90,
91,93,95,96,97,99,101,103,105,106,107,108,109,110,111,113,114,115,116,117,118,
119,120,121,122,125,126,131,132,137,138,139,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,197,198,199,200,202,203,212,
214,218,219,222,224,243,244,245,246,247,248,250,251,254,255,256,257,258,259,
260,264,265,266,267,268,269,311,324,325,326,335,336,337,338,348,349,350,402],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,27,28,29,30,31,35,36,37,39,41,42,
43,44,45,46,48,49,51,53,54,56,57,59,60,61,62,64,66,67,90,93,95,96,97,99,101,
103,106,107,108,109,113,114,115,117,120,122,125,129,130,131,132,134,136,137,
138,139,140,141,148,149,202,212,214,218,219,222,224,229,232,233,234,236,237,
241,242,243,248,250,251,333,334,335,342,343,346,347,403],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,18,27,28,29,30,31,33,35,36,37,41,42,43,44,45,46,47,48,49,
51,52,53,54,56,61,64,65,66,67,88,90,93,94,95,96,97,103,104,107,108,112,113,
114,120,122,125,127,129,130,132,134,135,136,138,140,141,150,151,152,153,201,
202,205,210,217,225,226,227,229,232,233,237,241,245,246,247,250,253,267,322,
323,330,332,341,342,348,404],[1,2,5,9,17,21,27,68,73,75,76,78,88,181,272,276,
278,405],[1,2,3,4,5,7,8,9,10,11,14,16,18,20,21,22,23,24,36,37,50,52,57,59,65,
68,73,75,78,79,80,81,82,83,84,85,86,124,162,163,169,177,180,184,188,189,191,
192,193,194,195,272,273,287,301,353,356,358,406],[1,2,3,5,6,7,11,20,22,24,39,
47,58,68,84,157,162,163,270,271,273,354,355,357,407],[1,2,6,7,8,9,15,17,19,27,
28,41,43,64,65,70,89,125,127,128,131,216,359,408],[1,2,6,7,8,9,15,17,19,27,28,
41,43,64,65,70,88,125,127,129,132,217,360,409],[1,2,4,8,12,13,15,16,17,18,19,
28,31,44,45,53,57,69,89,108,109,133,135,207,359,410],[1,2,3,4,8,10,11,12,14,
15,17,19,28,29,30,34,35,37,67,71,89,92,93,196,359,411],[1,2,5,15,21,25,26,74,
167,182,303,412],[1,2,5,6,15,17,24,25,64,74,76,167,176,178,413],[1,2,5,7,8,9,
24,25,65,73,77,167,177,179,414],[1,2,5,7,8,9,24,25,65,75,77,167,179,180,415],[
1,2,4,5,6,8,9,12,15,16,17,18,21,23,26,27,28,31,38,41,42,45,47,56,57,62,63,64,
73,74,82,101,109,113,115,125,126,142,150,155,156,170,181,182,190,197,219,245,
254,265,285,298,324,361,416],[1,2,5,6,7,8,9,15,17,21,24,26,27,28,38,41,42,43,
63,64,65,73,74,85,89,125,126,127,128,130,131,142,175,176,177,181,182,190,197,
215,216,233,235,295,296,313,361,417],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,17,18,
20,21,23,26,27,28,30,34,35,37,38,41,42,45,46,52,53,55,56,63,64,73,74,81,92,
111,112,125,126,133,136,139,141,142,169,170,171,172,181,182,190,197,208,209,
237,238,284,286,314,361,418],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,21,22,
26,27,28,29,30,31,32,35,36,37,38,40,41,42,44,46,48,49,53,54,55,58,61,63,64,66,
67,73,74,79,90,91,93,95,97,105,107,108,110,111,114,116,118,119,120,121,122,
125,126,142,143,144,145,146,147,181,182,183,184,185,190,197,198,199,200,202,
203,244,279,280,300,311,361,419],[1,2,5,6,7,8,9,15,17,27,28,39,41,43,64,65,74,
75,76,77,88,89,99,100,106,125,127,128,129,131,132,216,217,222,223,276,277,281,
282,310,420],[1,2,5,6,8,9,13,15,17,18,21,26,27,28,38,41,42,44,45,63,64,73,74,
86,94,103,125,126,134,135,142,181,182,190,197,226,236,297,308,361,421],[1,2,5,
6,7,8,9,15,17,21,26,27,28,38,41,42,43,63,64,65,73,74,78,88,125,126,127,129,
132,142,181,182,190,197,217,234,278,312,361,422],[1,2,5,6,7,8,9,15,17,21,26,
27,28,33,38,39,41,42,43,63,64,73,74,80,99,106,125,126,131,132,142,153,159,161,
181,182,190,197,222,247,257,260,283,299,338,361,423],[1,2,3,4,5,6,8,11,12,13,
14,15,16,17,18,22,23,24,26,28,31,32,35,40,42,44,45,46,49,53,54,55,57,61,63,64,
66,74,76,77,83,89,108,109,110,111,119,122,126,130,133,135,136,143,144,146,172,
174,175,178,185,199,206,207,215,238,240,241,277,289,317,363,365,373,424],[1,2,
3,5,6,7,8,9,11,13,15,17,20,22,24,27,28,29,32,40,41,43,44,46,49,54,55,58,64,65,
74,76,77,84,89,107,110,121,125,127,128,131,136,144,145,171,173,176,179,185,
198,206,216,237,239,277,288,315,364,366,373,425],[1,2,3,5,6,7,8,9,11,13,15,17,
20,22,24,27,28,29,32,40,41,43,44,46,49,54,55,58,64,65,75,76,84,88,107,110,121,
125,127,129,132,134,144,145,173,178,180,186,198,205,217,236,242,276,293,316,
362,367,374,426],[1,2,3,4,5,6,8,11,12,13,14,15,16,17,18,20,21,23,26,28,31,32,
35,40,42,44,45,46,49,53,54,55,57,61,63,64,66,74,76,77,81,89,108,109,110,111,
119,122,126,130,133,135,136,143,144,146,171,172,173,174,182,199,206,207,215,
238,240,241,277,286,317,363,364,372,427],[1,2,5,6,7,8,9,15,17,21,24,26,27,28,
38,41,42,43,63,64,65,74,76,77,85,89,125,126,127,128,130,131,142,175,176,178,
179,182,197,215,216,233,235,277,296,313,365,366,372,428],[1,2,3,4,5,6,8,10,11,
12,13,14,15,17,21,22,26,28,29,30,32,34,35,37,42,46,48,49,53,54,55,58,61,63,64,
67,74,76,77,79,89,91,92,93,97,110,111,116,118,119,120,121,126,130,136,141,182,
183,185,186,187,196,203,206,209,213,215,232,277,280,320,371,372,373,429],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,24,27,28,29,30,31,34,35,36,37,
41,43,44,45,48,50,52,53,54,56,57,59,60,61,64,65,66,67,74,76,77,83,89,90,92,93,
95,98,107,108,109,112,114,117,120,122,123,124,125,127,128,131,133,135,138,139,
140,172,174,176,179,183,186,187,196,202,204,207,208,210,211,212,216,230,231,
277,291,294,321,363,366,371,430],[1,2,3,4,5,6,8,10,11,12,13,14,15,17,20,22,24,
26,28,29,30,32,34,35,37,42,46,48,49,53,54,55,58,61,63,64,67,74,76,77,84,89,91,
92,93,97,110,111,116,118,119,120,121,126,130,136,141,171,173,175,178,183,186,
187,196,203,206,209,213,215,232,277,292,293,320,364,365,371,431],[1,2,3,4,5,6,
11,12,13,14,15,16,17,20,22,24,29,31,32,33,35,38,40,41,42,47,49,53,54,55,58,61,
62,63,64,66,76,84,99,114,115,116,119,121,122,142,145,146,147,150,153,154,155,
156,158,173,178,186,200,218,246,255,257,264,265,281,293,326,376,377,378,432],[
1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,27,28,30,31,34,35,36,
37,41,43,45,50,52,56,57,59,60,62,64,65,73,78,79,80,81,82,83,84,85,86,88,90,92,
94,98,101,102,109,112,113,115,117,123,124,125,127,129,132,133,137,139,169,170,
177,181,184,188,189,191,192,193,194,195,201,204,208,214,217,219,249,252,262,
278,279,283,284,285,287,290,295,297,301,345,368,369,375,379,380,381,382,433],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,26,27,28,29,30,31,32,33,34,35,36,
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,
63,64,65,66,67,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
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,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,196,
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,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,308,309,310,
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,
349,350,351,352,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
434],[1,2,5,6,7,8,9,15,17,21,24,27,28,41,43,64,65,68,73,75,76,78,80,85,88,125,
127,129,132,162,177,178,180,181,191,217,272,276,278,283,295,356,367,380,405,
435],[1,2,3,5,9,11,13,17,20,21,22,27,29,44,54,68,73,75,76,78,88,107,134,163,
173,181,186,205,272,276,278,362,374,405,436],[1,2,3,4,5,9,10,12,14,16,17,18,
20,21,22,23,27,30,31,36,45,52,56,68,73,75,76,78,79,81,82,86,88,90,94,112,113,
163,169,170,181,184,188,193,201,272,276,278,279,284,285,297,353,358,368,382,
405,437],[1,2,6,7,8,9,15,17,19,27,28,33,41,43,64,65,70,89,125,127,128,129,131,
153,165,216,234,247,331,359,408,438],[1,2,6,7,8,9,13,15,17,19,27,28,41,43,44,
47,64,65,70,89,125,127,128,131,134,150,166,216,236,245,329,359,408,439],[1,2,
6,7,8,9,13,15,17,19,27,28,41,43,46,47,64,65,70,88,125,127,129,132,136,150,166,
217,237,245,330,360,409,440],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
27,28,29,30,31,34,35,36,37,41,43,44,45,48,50,52,53,54,56,57,59,60,61,64,65,66,
67,69,70,71,89,90,92,93,95,98,107,108,109,112,114,117,120,122,123,124,125,127,
128,131,133,135,138,139,140,164,196,202,204,207,208,210,211,212,216,230,231,
321,359,408,410,411,441],[1,2,3,4,5,7,8,9,12,14,16,18,22,23,24,25,34,36,50,56,
57,60,65,73,77,83,87,123,167,170,174,177,179,184,187,275,290,294,414,442],[1,
2,3,5,6,11,13,15,17,20,22,24,25,29,32,49,54,55,58,64,74,76,84,87,121,167,171,
173,176,178,185,186,275,288,293,413,443],[1,2,3,5,10,11,15,21,22,25,26,32,67,
74,79,87,91,167,182,183,185,275,280,303,386,412,444],[1,2,5,6,15,19,24,63,68,
70,74,162,175,270,304,445],[1,2,5,6,15,17,19,24,64,68,70,74,76,162,176,178,
270,304,305,446],[1,2,5,7,8,9,19,24,65,68,70,75,77,162,179,180,271,306,307,
447],[1,2,5,6,7,8,9,15,17,21,24,26,27,28,33,38,39,41,42,43,63,64,65,73,74,78,
80,85,88,89,99,100,106,125,126,127,128,129,130,131,132,142,153,159,161,175,
176,177,181,182,190,191,197,215,216,217,222,223,233,234,235,247,257,260,278,
283,295,296,299,310,312,313,331,332,338,347,361,380,401,417,422,423,448],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,26,27,28,30,31,34,35,36,37,
38,41,42,43,45,46,47,50,52,53,55,56,57,59,60,62,63,64,65,73,74,78,81,82,88,90,
92,94,98,101,102,109,111,112,113,115,117,123,124,125,126,127,129,132,133,136,
137,139,141,142,150,155,156,169,170,171,172,181,182,188,190,197,201,204,208,
209,214,217,219,234,237,238,245,249,252,254,262,265,278,284,285,286,298,312,
314,324,328,330,333,345,361,368,396,416,418,422,449],[1,2,5,6,7,8,9,15,17,24,
26,27,28,33,38,39,41,42,43,63,64,65,74,75,76,77,88,89,99,100,106,125,126,127,
128,129,130,131,132,142,153,159,161,175,178,180,197,215,216,217,222,223,233,
234,235,247,257,260,276,277,281,282,310,312,313,331,332,338,347,365,367,378,
401,420,450],[1,2,3,5,6,7,8,9,11,13,15,17,20,27,28,29,32,39,40,41,43,44,46,47,
49,54,55,58,64,65,74,75,76,77,88,89,99,100,106,107,110,121,125,127,128,129,
131,132,134,136,144,145,150,157,160,171,173,198,205,206,216,217,222,223,236,
237,239,242,245,255,258,276,277,281,282,310,315,316,329,330,336,346,362,364,
377,400,420,451],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,
26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,52,53,54,55,
56,57,58,59,60,61,63,64,65,66,67,73,74,79,81,83,84,85,89,90,91,92,93,95,97,98,
105,107,108,109,110,111,112,114,116,117,118,119,120,121,122,123,124,125,126,
127,128,130,131,133,135,136,138,139,140,141,142,143,144,145,146,147,169,170,
171,172,175,176,177,181,182,183,184,185,189,190,196,197,198,199,200,202,203,
204,206,207,208,209,210,211,212,213,215,216,230,231,232,233,235,237,238,239,
240,241,244,279,280,284,286,287,288,289,290,291,292,295,296,300,311,313,314,
315,317,318,319,320,321,342,344,361,369,370,398,417,418,419,452],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,26,27,28,29,30,31,32,33,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,66,67,
73,74,79,80,82,90,91,93,95,96,97,99,101,103,105,106,107,108,109,110,111,113,
114,115,116,117,118,119,120,121,122,125,126,131,132,137,138,139,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,170,181,
182,183,184,185,190,192,197,198,199,200,202,203,212,214,218,219,222,224,243,
244,245,246,247,248,250,251,254,255,256,257,258,259,260,264,265,266,267,268,
269,279,280,283,285,298,299,300,311,324,325,326,335,336,337,338,348,349,350,
361,379,384,402,416,419,423,453],[1,2,4,5,6,7,8,9,12,13,15,16,17,18,21,23,24,
26,27,28,31,38,41,42,43,44,45,47,51,53,56,57,62,63,64,65,73,74,82,85,86,89,94,
96,101,102,103,104,108,109,113,115,125,126,127,128,130,131,133,134,135,137,
142,150,155,156,170,175,176,177,181,182,190,195,197,207,215,216,219,221,226,
228,233,235,236,245,251,252,253,254,265,285,295,296,297,298,308,313,323,324,
329,334,340,361,375,392,416,417,421,454],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
17,18,20,21,23,26,27,28,30,33,34,35,37,38,39,41,42,43,44,45,46,48,50,52,53,55,
56,63,64,66,73,74,80,81,86,92,94,95,98,99,101,102,103,104,106,111,112,125,126,
131,132,133,134,135,136,139,140,141,142,153,159,161,169,170,171,172,181,182,
190,194,197,208,209,221,222,226,227,231,236,237,238,247,248,257,260,261,262,
283,284,286,297,299,308,314,322,327,338,339,346,361,381,394,418,421,423,455],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,26,27,28,29,30,31,32,35,36,
37,38,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,58,61,63,64,65,66,67,73,74,
78,79,86,88,90,91,93,94,95,96,97,103,104,105,107,108,110,111,112,113,114,116,
118,119,120,121,122,125,126,127,129,132,134,135,138,140,142,143,144,145,146,
147,181,182,183,184,185,190,193,197,198,199,200,201,202,203,205,210,217,225,
226,227,229,234,236,242,244,250,253,278,279,280,297,300,308,309,311,312,316,
341,343,361,382,391,419,421,422,456],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,22,27,28,29,30,31,34,35,36,37,39,41,43,44,45,48,50,51,52,53,54,56,57,59,
60,61,62,64,65,66,67,74,75,76,77,88,89,90,92,93,94,95,96,98,99,100,101,102,
103,104,106,107,108,109,112,113,114,115,117,120,122,123,124,125,127,128,129,
131,132,133,134,135,137,138,139,140,148,149,183,186,187,196,201,202,204,205,
207,208,210,211,212,214,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,243,248,249,250,251,252,253,261,262,263,276,277,281,282,310,321,
335,339,340,341,345,351,352,371,374,376,383,390,420,457],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,
40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,74,
76,77,79,81,83,84,85,89,90,91,92,93,95,97,98,105,107,108,109,110,111,112,114,
116,117,118,119,120,121,122,123,124,125,126,127,128,130,131,133,135,136,138,
139,140,141,142,143,144,145,146,147,171,172,173,174,175,176,178,179,182,183,
185,186,187,189,196,197,198,199,200,202,203,204,206,207,208,209,210,211,212,
213,215,216,230,231,232,233,235,237,238,239,240,241,244,277,280,286,288,289,
291,292,293,294,296,311,313,314,315,317,318,319,320,321,342,344,363,364,365,
366,370,371,372,373,398,424,425,427,428,429,430,431,458],[1,2,5,6,7,8,9,15,17,
21,24,27,28,33,41,42,43,64,65,68,73,75,76,78,80,85,88,125,127,129,130,132,153,
162,177,178,180,181,191,217,233,247,270,272,276,278,283,295,332,356,367,380,
405,435,459],[1,2,3,5,6,7,8,9,11,13,15,17,20,21,22,24,27,28,29,32,40,41,43,44,
46,49,54,55,58,64,65,68,73,75,76,78,80,84,85,88,107,110,121,125,127,129,132,
134,144,145,162,163,173,177,178,180,181,186,191,198,205,217,236,242,272,273,
276,278,283,293,295,316,356,362,367,374,380,405,426,435,436,460],[1,2,3,4,5,6,
7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,27,28,30,31,34,35,36,37,41,43,45,
50,52,56,57,59,60,62,64,65,68,73,75,76,78,79,80,81,82,83,84,85,86,88,90,92,94,
98,101,102,109,112,113,115,117,123,124,125,127,129,132,133,137,139,162,163,
169,170,177,178,180,181,184,188,189,191,192,193,194,195,201,204,208,214,217,
219,249,252,262,272,273,276,278,279,283,284,285,287,290,295,297,301,345,353,
356,358,367,368,369,375,379,380,381,382,405,406,433,435,437,461],[1,2,3,4,6,7,
8,9,10,11,12,13,14,15,16,17,18,19,27,28,29,30,31,33,34,35,36,37,41,43,44,45,
47,48,50,51,52,53,54,56,57,59,60,61,64,65,66,67,69,70,71,89,90,92,93,95,96,98,
107,108,109,112,114,117,120,122,123,124,125,127,128,129,131,133,134,135,138,
139,140,150,151,152,153,164,165,166,196,202,204,207,208,210,211,212,216,229,
230,231,234,236,242,245,246,247,267,274,321,327,328,329,331,343,348,359,399,
408,410,411,438,439,441,462],[1,2,5,8,19,21,24,70,72,77,85,302,307,463],[1,2,
3,5,6,10,11,13,15,19,20,22,24,48,55,58,63,67,68,70,74,84,118,162,163,166,171,
175,183,270,273,292,304,354,387,445,464],[1,2,3,5,6,11,13,15,17,19,20,22,24,
29,32,49,54,55,58,64,68,70,74,76,84,121,162,163,166,171,173,176,178,185,186,
270,273,288,293,304,305,354,387,388,446,465],[1,2,4,5,6,15,16,19,24,47,62,63,
68,69,70,71,74,155,162,164,175,270,304,357,445,466],[1,2,5,6,7,15,19,24,33,39,
63,68,70,74,159,162,165,175,270,271,304,355,445,467],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,20,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
74,75,76,77,84,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
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,
144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,171,
173,175,178,180,183,186,187,196,197,198,199,200,201,202,203,204,205,206,207,
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,
265,266,267,268,269,276,277,281,282,292,293,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,362,
364,365,367,371,374,376,377,378,383,390,391,392,393,394,395,396,397,398,399,
400,401,402,403,404,420,426,431,432,434,450,451,457,468],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,73,74,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,
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,
156,157,158,159,160,161,169,170,171,172,175,176,177,181,182,183,184,185,188,
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,
265,266,267,268,269,278,279,280,283,284,285,286,287,288,289,290,291,292,295,
296,297,298,299,300,301,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,361,368,369,370,375,379,
380,381,382,384,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
416,417,418,419,421,422,423,433,434,448,449,452,453,454,455,456,469],[1,2,5,6,
7,8,9,15,17,19,24,27,28,39,41,43,64,65,70,74,75,76,77,88,89,99,100,106,125,
127,128,129,131,132,176,179,216,217,222,223,276,277,281,282,305,306,310,359,
366,408,420,470],[1,2,5,6,7,8,9,15,17,19,24,27,28,39,41,43,64,65,70,74,75,76,
77,88,89,99,100,106,125,127,128,129,131,132,178,180,216,217,222,223,276,277,
281,282,304,305,307,310,360,367,409,420,471],[1,2,5,6,7,8,9,15,17,19,21,24,26,
27,28,38,41,42,43,63,64,65,70,73,74,78,80,85,88,125,126,127,129,132,142,177,
181,182,190,191,197,217,234,278,283,295,304,312,360,361,380,409,422,472],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,27,28,29,30,31,32,33,
34,35,36,37,40,41,42,43,44,45,46,49,50,52,54,55,56,57,58,59,60,61,62,64,65,68,
73,75,76,78,79,80,81,82,83,84,85,86,88,90,92,94,98,101,102,107,109,110,112,
113,115,116,117,121,123,124,125,127,129,130,132,133,134,137,139,141,144,145,
153,154,158,162,163,169,170,173,177,178,180,181,184,186,188,189,191,192,193,
194,195,198,201,204,205,208,213,214,217,219,233,236,240,242,247,249,252,256,
262,264,270,272,273,276,278,279,283,284,285,287,290,293,295,297,301,316,318,
325,327,332,334,345,353,354,356,358,362,367,368,369,374,375,379,380,381,382,
397,405,406,426,433,435,436,437,459,460,461,473],[1,2,4,5,8,16,18,19,21,23,24,
57,69,70,71,72,77,82,85,86,164,168,174,195,302,307,385,463,474],[1,2,5,6,7,8,
9,15,17,21,24,25,26,27,28,38,41,42,43,63,64,65,73,74,76,77,85,89,125,126,127,
128,130,131,142,167,175,176,177,178,179,181,182,190,197,215,216,233,235,277,
295,296,303,313,361,365,366,372,412,413,414,417,428,475],[1,2,3,4,5,6,7,10,11,
13,15,16,19,20,22,24,33,39,47,48,51,55,58,59,62,63,67,68,69,70,71,74,84,118,
149,151,154,155,157,159,162,163,164,165,166,171,175,183,266,270,271,273,274,
292,304,354,355,357,387,407,445,464,466,467,476],[1,2,3,5,6,7,8,9,11,13,15,17,
19,20,22,24,27,28,29,32,39,40,41,43,44,46,47,49,54,55,58,64,65,70,74,75,76,77,
84,88,89,99,100,106,107,110,121,125,127,128,129,131,132,134,136,144,145,150,
157,160,166,171,173,176,179,185,198,205,206,216,217,222,223,236,237,239,242,
245,255,258,276,277,281,282,288,305,306,310,315,316,329,330,336,346,359,362,
364,366,373,377,388,400,408,420,425,439,451,470,477],[1,2,3,5,6,7,8,9,11,13,
15,17,19,20,22,24,27,28,29,32,39,40,41,43,44,46,47,49,54,55,58,64,65,70,74,75,
76,77,84,88,89,99,100,106,107,110,121,125,127,128,129,131,132,134,136,144,145,
150,157,160,166,171,173,178,180,186,198,205,206,216,217,222,223,236,237,239,
242,245,255,258,276,277,281,282,293,304,305,307,310,315,316,329,330,336,346,
360,362,364,367,374,377,387,388,400,409,420,426,440,451,471,478],[1,2,5,6,7,8,
9,15,17,19,21,24,26,27,28,33,38,39,41,42,43,63,64,65,70,74,75,76,77,85,88,89,
99,100,106,125,126,127,128,129,130,131,132,142,153,159,161,165,175,176,178,
179,180,182,197,215,216,217,222,223,233,234,235,247,257,260,276,277,281,282,
296,305,306,310,312,313,331,332,338,347,359,365,366,367,372,378,389,401,408,
420,428,438,450,470,479],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,
23,24,27,28,29,30,31,34,35,36,37,39,41,43,44,45,48,50,51,52,53,54,56,57,59,60,
61,62,64,65,66,67,69,70,71,74,75,76,77,83,88,89,90,92,93,94,95,96,98,99,100,
101,102,103,104,106,107,108,109,112,113,114,115,117,120,122,123,124,125,127,
128,129,131,132,133,134,135,137,138,139,140,148,149,164,172,174,176,179,183,
186,187,196,201,202,204,205,207,208,210,211,212,214,216,217,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,243,248,249,250,251,252,253,261,262,
263,276,277,281,282,291,294,305,306,310,321,335,339,340,341,345,351,352,359,
363,366,371,374,376,383,390,408,410,411,420,430,441,457,470,480],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,34,35,36,37,
38,41,42,43,45,46,47,50,52,53,55,56,57,59,60,62,63,64,65,70,73,74,78,79,80,81,
82,83,84,85,86,88,90,92,94,98,101,102,109,111,112,113,115,117,123,124,125,126,
127,129,132,133,136,137,139,141,142,150,155,156,166,169,170,171,172,177,181,
182,184,188,189,190,191,192,193,194,195,197,201,204,208,209,214,217,219,234,
237,238,245,249,252,254,262,265,278,279,283,284,285,286,287,290,295,297,298,
301,304,312,314,324,328,330,333,345,360,361,368,369,375,379,380,381,382,387,
396,409,416,418,422,433,440,449,472,481],[1,2,5,7,8,9,19,21,24,25,65,68,70,73,
75,77,78,80,85,162,165,167,177,179,180,191,271,272,306,307,356,389,414,415,
447,482],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,
27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,
57,58,59,60,61,63,64,65,66,67,73,74,76,77,79,81,83,84,85,87,89,90,91,92,93,95,
97,98,105,107,108,109,110,111,112,114,116,117,118,119,120,121,122,123,124,125,
126,127,128,130,131,133,135,136,138,139,140,141,142,143,144,145,146,147,167,
169,170,171,172,173,174,175,176,177,178,179,181,182,183,184,185,186,187,189,
190,196,197,198,199,200,202,203,204,206,207,208,209,210,211,212,213,215,216,
230,231,232,233,235,237,238,239,240,241,244,275,277,279,280,284,286,287,288,
289,290,291,292,293,294,295,296,300,303,311,313,314,315,317,318,319,320,321,
342,344,361,363,364,365,366,369,370,371,372,373,386,398,412,413,414,417,418,
419,424,425,427,428,429,430,431,442,443,444,452,458,475,483],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,69,70,71,74,75,76,77,79,81,83,84,85,88,89,90,91,92,93,94,95,
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,
154,155,156,157,158,159,160,161,164,165,166,171,172,173,174,175,176,178,179,
180,182,183,185,186,187,189,196,197,198,199,200,201,202,203,204,205,206,207,
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,
265,266,267,268,269,274,276,277,280,281,282,286,288,289,291,292,293,294,296,
305,306,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,359,362,363,364,365,366,367,370,371,372,
373,374,376,377,378,383,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,408,410,411,420,424,425,426,427,428,429,430,431,432,434,438,
439,441,450,451,457,458,462,468,470,477,479,480,484],[1,2,5,6,7,8,9,15,17,19,
21,24,26,27,28,33,38,39,41,42,43,63,64,65,68,70,73,74,75,76,77,78,80,85,88,89,
99,100,106,125,126,127,128,129,130,131,132,142,153,159,161,162,175,176,177,
178,180,181,182,190,191,197,215,216,217,222,223,233,234,235,247,257,260,270,
272,276,277,278,281,282,283,295,296,299,304,305,307,310,312,313,331,332,338,
347,356,360,361,365,367,378,380,401,405,409,417,420,422,423,435,445,446,448,
450,459,471,472,485],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
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,
160,161,162,163,166,169,170,171,172,173,175,176,177,178,180,181,182,183,184,
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,
261,262,263,264,265,266,267,268,269,270,272,273,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,295,296,297,298,299,300,301,304,
305,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,353,354,356,358,360,361,362,364,365,367,
368,369,370,371,374,375,376,377,378,379,380,381,382,383,384,387,388,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,409,416,417,418,
419,420,421,422,423,426,431,432,433,434,435,436,437,440,445,446,448,449,450,
451,452,453,454,455,456,457,459,460,461,464,465,468,469,471,472,473,478,481,
485,486],[1,2,5,6,7,8,9,15,17,19,24,25,27,28,39,41,43,64,65,68,70,74,75,76,77,
88,89,99,100,106,125,127,128,129,131,132,162,167,176,178,179,180,216,217,222,
223,270,271,276,277,281,282,304,305,306,307,310,355,359,360,366,367,408,409,
413,415,420,446,447,470,471,487],[1,2,3,5,6,7,8,9,11,13,15,17,19,20,22,24,25,
27,28,29,32,39,40,41,43,44,46,47,49,54,55,58,64,65,68,70,74,75,76,77,84,87,88,
89,99,100,106,107,110,121,125,127,128,129,131,132,134,136,144,145,150,157,160,
162,163,166,167,171,173,176,178,179,180,185,186,198,205,206,216,217,222,223,
236,237,239,242,245,255,258,270,271,273,275,276,277,281,282,288,293,304,305,
306,307,310,315,316,329,330,336,346,354,355,357,359,360,362,364,366,367,373,
374,377,387,388,400,407,408,409,413,415,420,425,426,439,440,443,446,447,451,
465,470,471,477,478,487,488],[1,2,5,6,7,8,9,15,17,19,21,24,25,26,27,28,33,38,
39,41,42,43,63,64,65,68,70,72,73,74,75,76,77,78,80,85,88,89,99,100,106,125,
126,127,128,129,130,131,132,142,153,159,161,162,165,167,175,176,177,178,179,
180,181,182,190,191,197,215,216,217,222,223,233,234,235,247,257,260,270,271,
272,276,277,278,281,282,283,295,296,299,302,303,304,305,306,307,310,312,313,
331,332,338,347,355,356,359,360,361,365,366,367,372,378,380,389,401,405,408,
409,412,413,414,415,417,420,422,423,428,435,438,445,446,447,448,450,459,463,
467,470,471,472,475,479,482,485,487,489],[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]],
0,[[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],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,3,1],[1,1,2,1],[1,3,1],[1,1,1],[1,1],[1,
3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,7,7,1],[1,7,4,3,1],[1,
7,4,2,1,1],[1,3,4,6,1,1],[1,3,2,2,1,1,4,1,1],[1,3,4,2,4,1,1],[1,3,4,6,1,1],[1,
1,1,1],[1,3,1,3,1,3,3,1],[1,3,2,2,1,1,4,1,1],[1,3,1,3,1,3,3,1],[1,3,3,1,1,1,2,
3,1],[1,1,3,1],[1,1,1,2,1],[1,1,1,2,1],[1,3,2,1,1],[1,3,2,1,1],[1,3,2,1,1],[1,
3,2,1,1],[1,3,1,2,1],[1,3,2,1,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,
1,1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,
1,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,5,1,2,1],[1,5,1,1,1,
1],[1,5,1,1,1,1],[1,1,2,1,1,1,1],[1,3,4,3,3,1,1],[1,4,1],[1,5,1,1],[1,5,1,1],[
1,1,1,1],[1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
3,1,1,3,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,
2,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,3,1,2,1],[1,1,1,1,1,1],[
1,1,1,1],[1,15,20,15,15,1],[1,15,20,10,5,15,1],[1,7,2,6,4,1,3,12,12,3,1,3,3,8,
1],[1,7,8,7,21,7,1,7,7,1],[1,7,4,4,4,2,4,6,16,2,1,1,2,4,4,4,1],[1,7,6,2,4,5,
10,1,12,2,1,1,1,1,2,8,2,1],[1,7,4,3,4,1,6,1],[1,3,2,2,2,1,1,2,4,1,1,1,1,2,2,
1],[1,3,4,2,2,2,4,1,1,1,1,4,1],[1,3,4,2,3,3,2,1,1,1,2,2,1,1],[1,3,2,2,2,1,1,4,
1,2,1,1,1,4,1],[1,3,6,1,3,1],[1,3,6,1,3,1],[1,3,2,1,4,1,2,1],[1,3,2,1,4,1,2,
1],[1,3,2,2,1,2,1,1,1,1],[1,3,2,2,1,2,1,1,1,1],[1,1,2,3,1,3,1,3,3,1],[1,3,2,4,
1,4,1,2,1],[1,7,4,4,6,2,3,1,1,1,4,1],[1,7,4,4,2,2,2,4,1,1,1,1,4,1],[1,7,4,4,2,
2,4,1,2,1,1,1,4,1],[1,7,4,4,6,2,2,1,1,1,1,2,2,1],[1,7,2,2,1,1,2,4,7,1,1,1,2,2,
1],[1,7,2,2,4,1,1,4,3,2,1,1,1,2,2,1],[1,7,4,4,2,4,3,2,1,1,1,4,1],[1,3,4,4,2,6,
2,4,1,1,1,1,4,1],[1,3,8,2,4,8,1,2,1,4,1],[1,3,6,2,2,7,1,4,1,1,1,1,2,2,1],[1,3,
2,6,2,1,3,4,4,1,1,1,1,2,2,1],[1,5,6,1,5,6,1,2,1,2,1,1,2,1],[1,5,4,2,1,6,1,1,4,
2,1,1,1,1,1,1,1,1],[1,5,4,2,1,3,3,1,1,4,1,1,1,1,1,1,1,1,1,1],[1,5,6,1,11,1,1,
1,1,1,1,1,1,1,1,1],[1,5,2,4,1,1,2,1,4,1,4,1,1,1,1,1,1,1,1,1],[1,5,1,5,1,1,1,3,
5,3,1,1,1,1,1,1,1,1,1],[1,5,3,3,1,1,1,1,2,5,3,1,1,1,1,1,1,1,1,1],[1,11,2,4,4,
2,3,1,1,1,4,1],[1,11,2,4,8,1,1,1,1,2,2,1],[1,11,2,4,4,2,3,1,1,1,4,1],[1,7,4,4,
2,1,1,2,1],[1,7,4,4,3,1,2,1],[1,7,4,4,2,1,1,2,1],[1,7,2,2,4,2,1,1,1,1,1],[1,7,
2,2,4,3,1,1,1,1],[1,7,4,2,1,4,1,2,1],[1,7,4,4,3,1,2,1],[1,7,4,2,2,1,2,1,1,1,
1],[1,7,4,4,2,1,1,2,1],[1,3,4,2,2,4,1,2,1,1,1,1],[1,3,4,2,6,1,2,1,1,1,1],[1,3,
2,2,2,1,1,4,1,2,1,1,1,1],[1,3,2,2,2,1,1,2,4,1,1,1,1,1],[1,3,2,2,2,1,1,2,4,1,1,
1,1,1],[1,7,4,2,1,1,1,2,1,2,1],[1,5,2,1,1,3,2,1,2,2,1,1,1],[1,5,2,1,1,3,1,1,1,
1,1,1,1,1,1,1],[1,3,4,2,2,2,1,1,1,2,2,1,1],[1,3,2,2,2,1,1,2,1,1,1,1,1,1,1,1,
1],[1,1,4,2,3,2,1,1,1,2,1,2,1,1],[1,1,6,1,2,1,1,2,1,2,2,1,1,1],[1,1,2,4,1,2,1,
1,2,1,1,2,2,1,1],[1,3,2,1,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[
1,3,2,1,2,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,5,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,5,1,2,2,1,1,1,1],[1,1,1,2,2,
1,1,1,1],[1,1,3,2,1,1,1,1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,5,6,5,1,1,1,1,
1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,11,1,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,3,3,1,4,3,1,1],[1,3,6,4,3,3,1,4,3,1,1],[1,3,6,
4,3,3,1,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,9,4,3,1,3,4,3,
1,1],[1,9,4,3,3,1,4,3,1,1],[1,9,4,3,3,1,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,
3,3,1,4,3,1,1],[1,7,4,4,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,3,4,4,3,3,1,4,1,1,1],[
1,3,1,3,4,1,3,3,4,1,1,1],[1,3,4,4,6,1,4,1,1,1],[1,3,4,4,6,1,4,1,1,1],[1,3,1,3,
4,1,3,3,4,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,7,5,3,1,3,1,6,9,1,1,2,1,
2,3,1,1,2,2,1,1],[1,1,4,3,4,1,1],[1,9,1,3,3,1,3,2,3,1,1,1,1],[1,1,2,6,1,3,1,3,
1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,3,3,1,3,3,1,1,1,1,3,1,1,1,
1],[1,7,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,15,10,6,20,15,30,15,60,10,5,15,5,15,20,
30,60,10,1,15,15,1],[1,19,6,12,4,14,3,2,1,3,2,3,6,6,12,3,6,6,1],[1,11,8,2,4,4,
20,4,2,3,1,1,2,2,2,1,2,2,4,8,4,2,4,2,2,4,1,4,2,1],[1,11,4,4,2,4,6,2,4,8,8,4,1,
1,1,1,1,2,2,1,1,3,2,6,2,4,2,2,2,2,1,1,2,2,2,1,2,2,2,1],[1,7,8,4,4,16,2,2,8,2,
4,1,1,1,2,2,1,1,1,2,4,2,2,2,3,6,1,2,2,1,2,2,2,2,1,1,2,2,1],[1,15,2,6,20,1,3,
12,12,15,4,15,3,3,8,6,4,12,1,1,1,6,6,1],[1,11,6,6,2,4,4,5,10,3,2,20,2,12,3,1,
1,1,3,3,2,8,8,1,1,2,4,4,4,4,2,2,1,1,1,1,1,1,4,4,1,1],[1,11,10,2,2,4,9,28,1,2,
12,8,1,1,1,1,1,7,2,8,1,1,2,2,2,2,4,2,2,2,2,8,1,1,1,1,1,1,2,2,2,2,1,1],[1,11,4,
8,2,4,4,2,4,8,24,2,12,3,2,1,1,4,3,4,4,8,4,1,1,4,2,2,4,2,2,4,1,1,1,1,1,1,4,4,1,
1],[1,15,4,20,6,6,15,15,1,3,12,1,3,3,1],[1,15,4,20,6,6,10,5,15,1,3,6,6,1,3,3,
1],[1,15,4,20,2,2,10,4,5,4,15,1,1,2,4,8,1,1,2,1,2,1],[1,11,4,4,2,4,4,2,4,6,16,
2,3,4,1,1,2,4,4,4,1,2,4,4,4,1,2,1,1,2,1],[1,11,4,4,2,4,2,4,6,4,16,8,1,1,1,2,4,
4,4,1,2,4,4,2,2,1,2,1,1,2,1],[1,11,6,2,2,4,4,5,10,1,2,12,2,3,2,1,1,1,1,2,8,1,
1,1,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,7,4,8,4,4,2,4,8,2,16,2,4,1,1,2,1,4,4,4,2,1,
4,4,4,1,1,2,1,2,1],[1,7,6,6,2,2,4,5,10,3,12,2,4,1,2,1,1,1,1,2,8,1,1,1,4,2,2,4,
2,1,1,1,1,1,1,1,1],[1,7,8,4,4,4,2,10,6,2,16,2,1,1,2,1,4,4,4,2,1,2,2,4,4,1,1,2,
1,2,1],[1,7,2,10,2,2,4,1,5,12,16,3,2,1,3,4,8,1,1,1,4,2,2,4,1,1,1,1,1,1,1,1],[
1,19,6,20,16,5,1,15,3,6,6,1,3,3,1],[1,19,2,4,20,4,10,7,1,15,1,2,4,8,1,1,2,1,2,
1],[1,19,2,4,4,20,2,15,15,1,1,2,4,8,1,1,2,1,2,1],[1,3,4,12,6,6,6,12,1,1,3,3,
12,12,1,3,3,1],[1,11,8,2,4,4,4,2,8,3,4,1,1,2,1,2,8,8,4,4,1,2,2,1,1,1],[1,3,4,
6,6,1,6,1,3,3,1,3,3,1],[1,7,2,2,4,2,2,1,6,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,11,6,
4,4,4,2,3,1,1,4,3,2,4,1,1,1,2,2,1],[1,11,2,8,4,4,2,3,1,1,4,1,4,4,1,1,1,1,1,1,
1,1],[1,3,4,4,2,4,6,2,4,1,4,1,1,4,1,2,2,4,1,1,1,2,2,1],[1,7,4,4,4,6,2,3,4,1,1,
2,1,6,4,1,2,1,1,2,1],[1,11,2,4,4,4,2,3,4,1,1,1,2,6,4,1,2,1,1,2,1],[1,7,2,2,2,
2,4,1,1,4,4,3,2,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,4,4,2,2,2,4,1,4,1,
1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,7,2,6,4,4,1,3,4,12,12,3,1,3,3,8,2,2,8,1,2,1,1,
2,1],[1,7,6,2,4,4,5,10,1,12,2,1,4,1,1,1,2,8,2,2,8,2,1,2,1,1,2,1],[1,7,4,4,2,2,
4,2,4,6,2,16,2,1,2,1,2,4,4,4,1,1,1,1,2,4,2,1,1,1,1,1,1,1,1],[1,7,6,2,4,4,5,10,
1,4,12,2,1,1,1,1,2,8,2,2,4,4,2,1,2,1,1,2,1],[1,11,10,4,4,2,3,1,1,1,4,4,1,2,
1],[1,11,2,8,4,4,2,3,1,1,1,4,4,1,2,1],[1,11,6,4,4,8,1,1,1,3,2,2,2,1,1,1,1],[1,
11,2,4,4,8,2,3,1,1,1,4,4,1,2,1],[1,11,2,4,4,8,2,3,1,1,1,4,4,1,2,1],[1,11,2,4,
4,8,1,4,1,1,1,2,2,2,2,1,1,1,1],[1,7,4,4,4,6,6,2,1,1,1,2,3,2,2,1,1,1,1],[1,7,4,
4,4,6,2,2,1,4,1,1,2,2,1,2,2,1,1,1,1],[1,7,4,4,4,2,6,2,4,1,1,1,2,1,2,4,1,1,1,
1],[1,7,4,4,4,6,6,3,1,1,2,3,4,1,1,1,1],[1,3,2,10,2,4,1,5,2,4,8,1,1,2,4,1,2,1,
2,8,4,4,4,2,1,2,1,1,2,4,4,1],[1,7,6,2,4,5,6,1,4,4,2,1,1,1,3,1,2,1,2,4,4,2,2,2,
1,2,1,2,2,2,1,2,1,1,2,1,1,2,1,2,1,1],[1,11,2,4,4,2,3,1,1,1,4,4,1,2,1],[1,3,4,
4,2,6,2,4,1,1,1,2,1,2,4,1,1,1,1],[1,11,2,4,4,2,3,1,1,4,1,4,1,2,1],[1,3,2,2,6,
1,1,2,4,1,4,1,3,1,2,2,2,1,1,1,2,2,1],[1,7,2,6,4,4,1,3,4,4,3,4,1,1,1,2,2,4,2,6,
2,2,1,1,1,1,1,1,1,1],[1,7,4,4,2,2,4,6,2,2,4,3,2,1,1,1,1,1,1,1,4,4,4,4,1,1,1,1,
1,1,1,1],[1,7,8,2,2,4,4,2,2,8,1,2,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,11,
4,2,4,4,2,2,4,3,6,1,1,1,1,7,4,4,4,1,1,1,1,1,1,1,1],[1,11,4,2,4,4,2,4,2,4,3,2,
1,1,1,1,2,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,4,2,1,4,1,1,2,2,2,1,2,1,1,1,1],[1,3,
4,6,2,2,1,1,3,2,2,2,1,1,1,1,1],[1,3,4,2,2,2,1,4,2,1,1,2,2,2,1,1,1,1,1],[1,7,8,
2,1,2,1,3,2,1,2,1,1,1,1],[1,3,4,2,4,2,2,1,4,1,1,2,2,2,2,1,1,1,1,2,2,1],[1,1,2,
4,3,2,1,3,2,1,1,1,3,1,3,2,2,1,1,1,1,1,1,1,1,1],[1,7,4,4,2,1,2,1,4,1,2,2,1,2,1,
1,1,2,2,1],[1,3,2,2,2,4,1,1,2,4,1,4,1,4,1,2,1,2,4,1,1,1,1,1,1,1,1],[1,7,2,2,2,
2,4,1,1,4,3,6,1,1,1,1,7,4,2,2,1,1,1,1,1,1,1,1],[1,3,2,6,6,1,3,2,4,4,1,2,1,1,3,
1,1,4,4,2,2,1,1,1,1,1,1,1,1],[1,3,4,8,2,2,4,2,8,1,2,2,1,1,2,2,1,4,1,1,1,2,2,
1],[1,7,8,4,4,2,8,1,2,1,1,2,2,4,1,2,1,1,1,2,2,1],[1,5,6,4,1,2,5,6,1,2,2,1,1,1,
1,2,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,2,2,2,1,1,2,4,1,1,2,1,1,2,2,2,1,1,2,2,1,
1],[1,5,6,1,2,1,3,2,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,3,2,2,1,
1,2,1,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,
1],[1,3,13,1,3,4,1,2,1,1],[1,9,6,4,9,2,6,12,1,6,1,2,1],[1,5,6,5,5,5,1,5,1,1,1,
1,1,1,1],[1,1,7,7,1,1,1,1],[1,15,16,20,15,15,8,12,1,1],[1,15,16,20,10,5,15,4,
8,8,1,1],[1,15,4,20,15,12,15,1,4,1,3,1],[1,7,2,6,4,4,1,3,12,12,3,4,8,1,3,3,8,
1,4,1,1,2,1],[1,7,8,4,7,21,7,4,8,1,7,7,1,4,1,1,1,1,1],[1,3,16,6,1,3,4,1,1],[1,
3,16,6,1,3,4,1,1],[1,7,4,6,6,4,3,4,1,3,3,1,4,3,1,1],[1,7,6,6,4,4,3,3,12,3,6,4,
4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,7,12,4,4,6,12,3,6,4,8,1,3,3,12,1,4,3,2,1,1],[
1,7,6,6,4,3,3,6,12,7,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,9,7,3,4,3,3,1,3,6,9,3,
3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,10,4,3,21,3,1,3,4,4,4,3,1,3,3,3,3,3,
1,4,3,1,1,1,1],[1,9,4,6,4,3,6,3,3,12,4,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
9,1,9,4,3,3,1,9,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,4,6,4,3,3,3,3,3,
12,1,3,4,4,4,3,3,3,3,3,3,1,1,4,3,1,1,1,1],[1,9,10,4,3,9,12,3,4,4,4,4,3,6,3,3,
4,1,4,3,1,1,1,1],[1,9,10,4,3,21,3,3,1,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,
1,9,4,3,1,3,3,9,9,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,19,4,6,12,4,6,3,4,8,
1,3,3,12,1,4,3,2,1,1],[1,19,4,6,12,10,3,4,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,7,4,4,
3,4,4,1,6,1,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,4,3,6,4,3,1,3,4,3,
1,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[1,9,5,9,1,3,3,1,1,6,15,9,1,1,3,2,3,2,
3,3,3,1,3,3,3,1,1,1,3,3,2,2,1,1,3,1,1,1,1,1,1,1,1],[1,11,1,1],[1,7,7,8,1,1],[
1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,
5,6,10,6,5,1],[1,19,6,12,4,12,14,3,4,2,1,3,2,3,6,6,6,6,12,1,6,3,6,3,6,6,1,3,3,
1],[1,11,8,2,8,4,4,20,8,2,3,4,1,1,2,2,2,1,4,4,6,2,4,8,4,2,4,1,2,4,2,2,4,1,2,1,
2,4,4,2,1,2,1,1,2,1],[1,27,6,12,20,20,10,19,15,15,12,3,6,12,24,1,1,1,2,3,3,6,
3,3,6,6,3,3,3,6,1],[1,19,14,6,6,12,4,13,54,3,6,36,14,12,3,2,1,3,3,3,3,14,6,8,
24,2,6,3,6,3,6,6,12,12,12,12,6,12,6,12,6,14,1,2,3,3,6,2,3,3,6,6,3,6,6,12,12,
12,12,3,6,6,6,12,6,12,6,1,3,6,6,3,6,6,1],[1,27,6,12,12,20,14,15,2,15,3,2,3,6,
6,6,12,24,1,3,6,6,3,6,6,1,3,3,1],[1,27,14,4,28,4,22,7,2,1,17,2,3,10,2,14,20,8,
1,3,10,2,1,6,2,6,1,2,1,1,2,1],[1,19,4,4,6,12,4,2,4,6,8,16,14,3,4,2,1,3,2,4,4,
4,2,3,6,2,4,4,8,8,4,6,12,1,4,2,3,6,1,2,2,4,6,1,1,2,1,2,1],[1,19,8,2,4,20,4,20,
12,10,7,1,15,2,2,2,1,2,2,6,4,16,12,2,4,8,1,2,6,4,1,2,1,2,6,4,2,1,2,1,1,2,1],[
1,19,8,2,4,4,20,20,12,2,15,15,1,2,2,2,1,2,6,2,4,24,4,2,4,8,1,6,2,4,1,2,1,2,6,
4,2,1,2,1,1,2,1],[1,19,4,4,6,20,6,2,8,8,16,4,5,4,1,15,1,1,2,2,3,1,2,5,2,6,6,8,
8,2,6,6,2,1,1,2,3,2,2,2,3,3,1,2,3,2,2,2,1,1,1,1,1,1,1,1],[1,11,12,4,10,4,4,2,
24,6,4,16,2,3,4,1,1,2,2,2,4,4,4,2,1,4,2,2,2,4,4,8,4,4,10,8,4,1,2,2,2,4,4,1,2,
1,2,4,4,2,1,1,2,1,2,1],[1,11,8,8,6,4,4,2,10,8,8,24,8,4,1,1,1,2,1,1,4,6,4,2,3,
2,1,5,2,10,2,8,4,4,4,6,2,2,2,1,1,1,4,2,2,2,2,1,1,1,1,2,4,2,2,2,1,1,1,1,1,1,1,
1],[1,19,14,6,6,20,19,48,15,6,60,16,5,1,15,5,15,7,20,30,60,3,3,6,6,6,6,12,6,6,
6,6,16,1,1,15,15,3,3,3,3,6,6,6,6,3,3,3,6,1,3,1,3,3,1,3,1],[1,19,10,10,2,4,20,
4,15,30,17,2,68,10,12,7,4,1,15,5,17,3,20,30,8,60,1,2,1,2,2,8,4,4,4,4,8,4,4,4,
4,8,2,10,1,1,15,15,1,2,1,1,2,2,1,2,4,4,8,8,1,2,1,2,1,2,2,2,2,1,1,2,1,1,2,1,2,
1,1,2,1],[1,11,2,4,4,12,2,3,4,1,1,4,1,2,6,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,11,10,
4,4,4,2,3,4,1,1,1,4,2,6,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,19,8,6,12,4,4,14,8,3,4,
2,1,3,2,2,3,6,2,4,8,8,4,6,12,1,2,2,1,3,6,6,2,4,4,1,1,1,2,2,1],[1,11,8,8,2,4,4,
20,4,4,2,8,3,4,1,1,2,2,2,4,2,1,2,2,2,4,8,4,8,8,2,4,4,1,2,2,2,2,1,4,1,4,2,2,4,
4,1,1,1,2,2,1],[1,7,8,12,8,16,6,2,8,2,12,1,1,3,2,2,2,1,1,3,2,2,4,2,2,2,3,14,
12,1,2,2,1,3,3,2,2,2,2,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,11,4,4,2,4,4,2,
4,6,8,16,2,3,4,1,1,2,4,4,4,4,1,4,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,11,4,4,2,8,
4,4,2,4,6,16,2,3,4,1,1,2,4,4,4,1,4,2,4,4,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,19,2,4,
20,4,8,10,7,1,15,1,2,4,4,4,8,1,1,2,1,2,2,2,1,1,1,1],[1,19,2,4,4,20,8,2,15,15,
1,1,2,4,4,4,8,1,1,2,1,2,2,2,1,1,1,1],[1,19,2,12,20,4,10,7,1,15,4,1,6,4,8,1,1,
2,1,2,2,2,1,1,1,1],[1,19,10,4,4,20,2,15,15,1,4,1,4,2,4,8,1,1,2,1,2,2,2,1,1,1,
1],[1,11,8,2,8,4,4,4,8,2,8,3,4,1,1,2,1,4,2,4,8,8,4,4,1,2,2,1,1,2,2,1,1,1,1],[
1,11,8,10,4,4,4,8,2,8,3,4,1,1,2,1,4,4,2,8,8,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,11,
6,14,6,4,4,4,5,10,7,2,20,2,20,3,4,1,1,1,3,5,2,8,8,4,3,2,1,2,2,8,4,4,8,8,4,4,
12,12,4,2,2,1,1,1,2,1,1,2,1,1,1,2,2,3,3,2,4,4,1,2,2,2,2,2,4,4,1,2,2,1,1,1,1,1,
1,2,2,1],[1,11,8,6,4,4,4,20,4,2,3,1,1,2,2,4,2,3,2,2,2,4,4,8,4,2,4,1,1,2,2,4,1,
2,2,4,2,2,4,4,1,1,1,2,2,1],[1,7,8,4,4,4,16,2,2,8,2,4,1,4,1,1,2,2,2,1,4,1,1,2,
2,2,2,4,2,2,2,3,6,1,2,2,1,1,1,2,2,2,2,2,2,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,19,10,4,12,4,14,3,2,1,3,4,2,4,5,6,2,6,12,1,1,3,6,2,2,6,2,4,4,1,1,1,2,2,
1],[1,11,4,4,6,4,4,4,2,4,6,4,16,2,3,8,1,1,2,4,4,4,4,3,2,2,8,4,8,4,4,4,4,1,1,2,
2,1,2,2,4,2,1,2,1,2,2,1,1,2,4,2,1,2,1,1,2,2,2,2,2,1],[1,19,8,2,4,20,4,4,4,10,
8,7,8,1,15,2,1,2,2,8,8,8,8,16,4,4,8,1,1,2,1,2,2,2,2,4,2,1,1,2,1,2,2,1,4,2,2,1,
1,2,1,2,2,2,2,1],[1,19,6,6,2,4,4,20,5,10,3,6,20,2,12,15,4,15,1,1,3,3,2,8,8,1,
2,3,6,2,8,4,4,12,12,4,4,8,2,2,1,1,1,1,1,2,2,2,3,1,6,6,1,4,4,1,2,1,2,3,2,2,2,1,
1,1,2,1,1,1,2,1,2,2,1],[1,11,6,6,10,4,4,5,10,3,10,20,2,12,3,1,1,1,3,3,2,8,8,1,
4,1,4,10,8,4,4,4,4,2,2,1,1,1,4,1,1,1,4,4,1,2,2,4,1,2,1,1,2,1],[1,11,6,6,2,8,4,
4,5,10,3,10,20,2,12,3,1,1,1,3,3,2,8,8,1,4,5,2,16,4,4,4,4,2,2,1,1,1,4,1,1,1,4,
4,1,2,2,4,1,2,1,1,2,1],[1,11,10,2,6,4,4,9,28,1,6,12,8,1,4,1,1,1,1,7,2,8,3,2,2,
3,6,6,8,2,2,4,2,2,2,2,8,1,1,3,2,1,1,1,2,2,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[
1,19,4,12,2,4,4,20,2,4,10,32,2,24,15,8,15,1,6,6,4,4,16,4,1,2,12,8,8,24,8,4,4,
4,4,8,1,2,1,2,2,1,2,2,12,12,1,2,8,8,1,2,1,2,1,2,2,2,2,1,2,1,1,2,2,2,1],[1,11,
6,4,4,4,16,2,3,1,1,4,3,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,14,12,4,4,2,3,1,1,
4,3,4,6,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,6,6,2,4,4,5,10,3,2,20,2,12,3,1,1,1,3,3,
4,2,8,8,1,1,4,2,4,4,4,4,2,2,1,1,1,1,1,1,4,4,1,2,4,4,2,1,1,2,1,2,1],[1,7,6,2,8,
5,6,1,4,4,2,1,4,1,2,1,3,3,2,1,2,2,2,4,4,2,2,2,1,2,1,2,2,2,1,2,1,1,2,1,1,2,2,1,
1,2,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,7,6,10,4,4,5,6,5,4,4,2,8,1,1,2,2,1,4,3,
1,2,2,1,2,2,4,4,8,2,2,2,1,4,4,2,4,1,2,2,2,1,2,2,1,1,1,2,1,2,1,1,2,1,2,1,4,4,1,
2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,2,1,2,2,1],[1,11,6,6,2,8,4,4,5,10,3,2,12,
2,4,3,8,1,1,1,1,1,2,8,4,1,4,1,8,8,4,2,4,6,4,2,2,4,4,2,1,1,1,2,1,1,3,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,11,4,12,2,8,
4,4,2,4,10,4,24,2,16,3,4,1,1,4,4,4,4,8,4,4,1,4,2,2,2,8,12,2,4,6,4,6,6,4,4,2,1,
1,1,3,2,1,1,1,2,1,1,1,1,1,1,3,4,4,1,1,1,1,1,1,1,2,1,3,4,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1],[1,3,3,9,13,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,9,12,4,9,18,
4,12,12,9,1,12,1,4,1,2,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,21,13,9,9,1,3,42,9,4,
1,2,1,3,3,4,3,6,3,1,1],[1,9,4,9,12,9,1,1,1,1],[1,3,6,13,1,3,3,4,3,6,3,4,1,2,1,
3,3,4,1,3,1,1],[1,15,20,10,5,16,15,1,1],[1,15,20,15,16,15,1,1],[1,19,16,6,12,
4,14,3,16,2,1,3,2,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,15,12,16,20,18,18,15,16,15,
3,9,36,8,12,1,9,9,12,3,1,1],[1,15,12,16,20,6,6,10,12,5,12,16,15,3,3,6,12,24,4,
8,8,1,3,6,3,6,4,8,3,1,1],[1,15,12,16,20,18,18,10,5,16,15,3,9,18,18,4,8,8,1,9,
9,4,8,3,1,1],[1,27,16,18,20,28,5,16,3,15,9,18,18,4,8,8,1,9,9,4,8,3,1,1],[1,27,
16,6,12,20,12,10,11,16,3,15,3,6,12,24,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,27,16,6,
12,12,20,6,15,16,15,3,3,6,12,24,8,12,1,3,6,3,6,4,8,3,1,1],[1,15,6,18,4,20,3,9,
36,36,15,12,4,12,12,15,9,9,24,18,12,36,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,
1],[1,19,8,12,4,6,12,4,4,12,18,48,6,12,3,6,4,4,8,4,8,1,3,6,3,12,12,8,12,3,3,
12,6,6,12,6,6,12,1,4,4,8,8,4,1,3,3,3,3,3,12,12,3,1,1,2,1,2,4,3,1,1,2,2,1,1],[
1,19,14,6,4,6,12,13,42,3,6,36,10,3,4,4,8,4,8,1,3,3,3,7,6,24,3,3,6,6,6,6,12,6,
6,6,6,10,1,4,4,8,8,4,1,3,3,3,3,3,6,6,6,6,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,
1],[1,15,10,6,16,20,15,30,15,60,10,5,16,15,5,15,20,30,60,10,4,8,8,1,15,15,4,8,
8,1,1,1],[1,19,16,6,20,16,5,16,1,15,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,15,4,16,20,
6,6,10,5,16,15,1,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,15,4,16,20,6,6,15,16,15,1,3,12,
8,12,1,3,3,4,1,1,1],[1,19,12,4,6,12,4,6,6,12,3,10,4,8,8,1,3,3,3,9,12,12,12,1,
4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,3,4,12,16,6,6,6,12,1,16,1,3,3,12,12,
4,1,3,3,4,1,1,1],[1,3,12,16,6,6,6,1,16,3,3,6,6,6,3,4,1,3,3,4,3,1,1],[1,15,16,
12,6,1,16,6,3,3,6,3,6,4,1,3,3,4,3,1,1],[1,7,2,18,4,6,6,4,1,9,12,24,3,6,4,8,8,
1,3,6,8,3,3,3,12,6,6,12,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,27,4,6,12,
12,20,6,15,12,8,15,3,3,6,12,24,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,7,6,6,4,
6,6,4,3,3,12,3,10,4,4,4,1,3,3,3,9,12,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,
1,1],[1,15,2,6,4,20,1,3,12,12,15,4,12,8,15,3,3,8,6,4,12,1,4,4,4,1,1,1,6,6,3,2,
4,1,1,1,1,1],[1,3,4,16,6,6,1,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,12,4,3,6,1,3,
6,4,8,8,3,1,3,3,3,3,6,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,11,11,11,1,1,
1,1],[1,7,8,7,21,7,8,1,7,7,8,1,1,1],[1,15,10,10,15,15,5,6,10,10,10,15,6,5,10,
6,5,1,1],[1,15,10,10,15,15,5,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,15,15,5,6,
10,20,15,6,5,10,6,5,1,1],[1,27,10,18,6,12,20,20,15,30,21,6,84,10,36,19,12,15,
15,5,21,9,20,30,24,60,12,3,6,3,18,6,24,24,12,12,12,36,24,12,12,12,12,12,24,6,
10,1,1,3,15,15,3,3,6,6,1,2,3,6,6,6,3,3,3,6,18,18,3,3,6,12,12,24,24,3,6,3,3,6,
6,3,3,6,6,6,6,6,12,12,1,3,3,6,1,3,3,6,3,6,6,3,3,1,3,2,6,3,6,3,3,3,6,6,3,3,6,3,
3,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,27,14,6,6,12,12,20,13,54,3,18,36,14,
12,15,4,2,15,3,3,3,3,14,6,8,24,2,6,3,6,6,9,6,6,6,12,24,4,12,36,12,12,6,12,6,
12,24,6,14,1,1,2,3,1,3,6,6,6,6,2,9,3,6,6,6,6,3,6,6,12,12,12,12,3,6,6,3,6,9,6,
6,6,6,6,12,6,12,6,1,3,6,6,1,3,6,3,6,3,3,3,6,3,3,3,6,6,6,6,1,3,1,1,3,3,3,1],[1,
27,8,14,4,28,4,4,12,22,8,7,8,2,1,17,2,2,3,10,2,6,8,4,8,8,8,16,4,14,20,8,1,1,2,
1,2,6,2,2,4,2,1,3,10,2,1,6,2,2,3,8,2,6,2,4,4,1,2,2,1,1,2,3,2,1,2,3,1,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,19,8,8,2,12,20,4,20,4,16,10,8,7,8,1,15,2,2,2,4,2,1,6,4,
8,6,4,8,8,16,12,8,16,2,4,4,8,1,1,2,1,2,2,6,2,2,4,6,2,1,4,1,2,1,2,2,2,1,4,6,2,
4,4,2,2,4,4,1,2,2,1,1,2,2,1,2,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,19,4,4,
10,4,12,4,2,4,6,20,16,14,3,8,2,1,3,2,4,4,4,4,2,4,5,6,2,6,8,4,4,8,4,8,8,4,6,12,
4,1,1,2,2,1,2,2,8,2,1,4,2,3,6,2,2,1,3,6,2,4,2,4,6,2,4,4,1,1,2,2,1,3,2,2,3,1,2,
1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,11,12,4,14,12,4,4,2,24,6,8,16,2,3,8,1,1,2,2,2,
4,4,4,4,2,3,4,6,4,8,2,4,4,4,8,4,8,4,4,10,8,4,4,1,1,2,2,1,2,2,4,6,1,2,2,2,4,4,
1,2,2,2,2,1,1,2,4,4,2,4,4,2,2,4,4,1,1,2,2,1,2,1,2,2,1,1,2,2,1,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,27,4,12,6,12,12,20,2,4,10,8,32,14,24,15,8,2,15,3,6,6,4,4,16,4,2,
3,6,6,12,4,4,8,8,8,8,24,8,4,4,4,6,12,24,1,2,1,2,2,1,2,2,4,12,12,1,2,8,8,3,6,6,
3,6,1,2,2,2,4,6,2,4,4,1,2,2,1,2,2,3,1,3,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
19,12,12,10,4,4,20,2,24,10,12,32,2,24,15,8,15,1,2,6,6,2,4,4,4,16,4,2,1,4,2,6,
12,2,4,8,8,24,4,24,8,10,4,4,8,4,4,8,1,2,1,2,2,1,2,6,2,2,12,12,1,4,2,4,8,8,1,2,
1,2,2,1,6,2,2,4,4,2,2,4,4,1,2,2,2,1,2,2,1,1,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,27,18,10,14,4,28,4,23,74,17,14,84,22,12,7,4,2,1,17,7,17,3,14,20,34,8,76,
2,6,3,10,2,3,2,10,14,20,8,4,20,20,28,4,8,14,4,4,20,14,20,8,6,22,1,1,2,15,17,3,
10,2,2,3,3,2,10,10,2,3,10,2,14,20,20,20,12,8,8,3,10,2,1,6,2,1,2,6,2,2,2,12,6,
6,12,6,12,6,1,1,3,6,6,3,10,2,2,1,1,6,2,1,2,6,2,1,1,2,6,1,2,1,2,2,2,2,6,1,1,1,
1,2,1,2,2,1,1,2,1],[1,19,10,10,2,12,20,4,15,30,17,10,68,10,12,7,4,1,15,5,17,3,
4,20,30,8,60,1,6,5,2,4,2,8,16,4,4,4,4,8,4,4,4,4,8,2,10,1,1,15,15,1,4,2,1,1,2,
2,1,2,4,4,8,8,1,2,1,2,2,1,2,2,2,2,6,2,4,4,2,1,1,2,1,1,2,1,2,1,2,1,2,1,1,2,1,2,
1,2,1,1,1,1,1,1,1,1],[1,27,8,6,12,20,20,20,20,10,19,15,15,2,2,12,2,3,6,6,6,4,
4,32,12,2,12,24,1,1,1,2,3,6,6,4,3,6,3,3,6,6,6,6,4,2,2,4,4,1,2,2,3,3,3,6,1,1,2,
2,1,2,2,1,1,1,1,1,1,1,1],[1,35,18,20,28,20,22,19,2,15,17,4,2,12,5,10,10,14,28,
40,1,1,1,2,3,5,10,10,3,5,6,6,10,6,2,4,4,1,2,3,5,3,6,1,3,2,1,2,2,1,1,1,1,1,1,1,
1],[1,19,14,14,10,4,12,4,13,54,7,6,36,14,20,3,4,2,1,3,3,3,5,14,4,6,8,24,2,4,6,
5,6,2,3,2,6,4,6,12,8,12,12,12,8,8,6,4,4,20,12,6,12,6,14,1,2,3,3,2,6,1,1,2,2,1,
3,3,2,6,6,2,5,3,6,2,6,12,12,12,12,3,6,2,2,2,2,2,6,6,12,6,12,6,4,4,2,4,4,2,4,4,
4,4,4,4,4,4,1,3,6,6,3,6,2,2,1,1,1,1,1,6,1,2,1,1,2,2,2,2,2,2,2,4,2,2,2,4,2,4,4,
1,1,1,2,1,1,2,1,1,2,2,1],[1,11,6,14,14,12,4,4,5,10,7,18,20,2,20,3,4,1,1,1,3,5,
2,8,8,4,3,4,6,5,2,4,10,8,24,4,4,8,8,4,4,12,12,4,2,2,1,1,1,6,4,1,1,2,1,1,1,2,2,
3,3,2,4,4,1,2,2,2,2,2,2,2,2,2,4,4,4,4,1,2,2,1,1,1,1,2,2,1,1,1,1,2,2,1,1,2,2,1,
1,1,1,1,1,1,1],[1,19,6,6,10,4,4,20,5,10,3,14,20,2,12,15,4,15,1,1,3,3,4,2,8,8,
1,4,2,3,6,4,4,10,8,8,4,4,12,12,4,4,8,2,2,1,1,1,1,1,2,4,2,2,3,1,6,6,1,4,4,1,2,
1,2,2,3,2,2,2,2,4,2,4,4,2,1,1,1,2,1,1,1,2,1,2,1,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,
1],[1,15,40,20,15,24,15,16,2,16,24,8,1,6,8,2,2,1],[1,21,9,9,13,9,9,1,3,18,27,
9,3,5,3,18,3,42,3,9,9,3,9,9,9,4,1,2,1,3,3,3,3,6,18,3,3,9,4,8,1,3,6,3,1,3,3,3,
3,3,3,1,4,3,3,1,1,1,1],[1,9,12,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,
1],[1,35,10,20,20,20,10,15,16,5,15,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,35,10,
20,20,20,10,15,16,15,5,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,15,20,20,10,10,10,
20,5,20,16,15,5,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,15,10,6,20,15,30,15,60,10,
5,16,15,5,15,20,30,60,10,16,1,15,15,1,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[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],[1,19,24,16,6,12,4,12,14,24,3,12,16,32,2,1,3,6,2,
3,6,6,12,24,24,12,6,12,4,8,16,3,6,6,3,3,6,6,6,12,12,8,4,8,8,1,3,3,6,6,4,8,3,1,
1],[1,43,16,30,12,60,4,38,15,16,32,2,1,45,2,3,18,6,30,36,24,4,8,16,3,3,18,6,3,
18,6,6,8,8,8,4,8,8,1,6,3,3,6,4,8,3,1,1],[1,19,12,12,16,6,12,4,6,12,18,24,48,
14,3,12,16,16,16,2,1,3,6,12,12,12,2,3,6,6,12,12,24,24,12,6,12,4,8,16,3,12,6,3,
6,3,6,6,12,6,4,4,8,8,4,8,8,1,3,6,3,6,4,8,3,1,1],[1,19,14,6,16,6,12,4,13,54,3,
6,36,14,12,3,16,32,2,1,3,3,3,3,14,6,8,24,2,6,3,6,3,6,6,12,12,12,12,6,12,6,12,
6,14,4,8,16,1,2,3,3,6,2,3,3,6,6,3,6,6,12,12,12,12,3,6,6,6,12,6,12,6,4,8,8,8,8,
8,1,3,6,6,3,6,6,4,8,8,1,1,1],[1,27,64,6,12,20,20,10,19,15,15,12,3,6,12,24,16,
32,64,32,1,1,1,2,3,3,6,3,3,6,6,3,3,3,6,4,4,4,8,1,1],[1,19,16,6,12,4,12,14,3,4,
16,2,1,3,2,3,6,6,6,6,12,4,8,16,1,6,3,6,3,6,6,4,8,8,1,3,3,4,1,1,1],[1,27,16,6,
12,12,20,14,15,48,2,15,3,2,3,6,6,6,12,24,4,8,16,1,3,6,6,3,6,6,12,8,8,1,3,3,4,
1,1,1],[1,19,16,18,12,12,4,14,3,16,2,1,3,12,2,12,9,6,6,6,12,4,8,16,3,3,3,6,6,
6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,27,4,12,16,18,20,6,6,12,24,28,12,5,
12,16,16,16,3,15,3,1,6,6,9,3,6,9,6,18,6,12,24,6,18,18,6,4,8,8,16,1,3,6,3,6,6,
6,9,9,3,6,3,6,6,6,4,8,4,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,27,16,16,6,12,20,
12,48,24,10,11,16,16,16,3,15,6,4,6,3,6,6,12,12,36,24,6,12,24,4,8,8,16,1,6,12,
12,3,6,3,6,12,12,6,4,8,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,27,16,16,6,12,12,20,
48,24,6,15,16,16,16,15,3,4,6,6,3,6,12,6,12,48,12,6,12,24,8,12,16,1,12,6,12,3,
6,3,6,12,12,6,12,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,19,12,12,16,6,20,18,6,24,
24,16,12,5,12,16,16,16,1,15,3,3,6,6,3,3,6,15,6,18,18,24,24,6,6,6,6,4,8,8,16,1,
3,6,9,6,6,6,3,3,3,6,9,6,6,6,4,4,8,8,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,43,16,
30,12,44,12,34,11,16,32,4,3,21,6,9,24,6,30,48,24,4,8,8,16,1,9,24,6,3,12,6,18,
4,4,8,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,19,14,6,16,6,20,19,48,15,6,60,16,5,16,
32,1,15,5,15,7,20,30,60,3,3,6,6,6,6,12,6,6,6,6,16,4,8,8,16,1,1,15,15,3,3,3,3,
6,6,6,6,3,3,3,6,4,4,4,8,8,1,3,1,3,3,1,3,1,4,1,1,1,1,1],[1,27,10,18,16,6,12,20,
12,15,30,21,6,84,10,36,11,12,16,16,16,3,15,5,21,9,20,30,24,60,3,6,3,6,6,24,12,
12,12,12,24,12,12,12,12,24,6,10,4,8,8,16,1,3,15,15,3,6,3,3,6,6,3,6,12,12,24,
24,3,6,3,6,3,6,6,6,6,4,8,4,8,4,8,8,1,3,6,3,3,6,3,6,3,3,6,1,4,8,3,1,1,1,1],[1,
27,22,6,16,18,20,27,84,15,18,60,28,5,16,16,16,3,15,5,15,21,20,30,60,9,9,18,18,
18,18,36,18,18,18,18,28,4,8,8,16,1,3,15,15,9,9,9,9,18,18,18,18,9,9,9,18,4,8,4,
8,4,8,8,1,9,3,9,9,3,9,1,4,8,3,1,1,1,1],[1,15,16,12,16,12,36,6,6,24,6,12,1,16,
16,16,1,3,6,6,6,3,3,3,6,6,12,6,6,6,9,18,12,3,6,6,4,16,1,3,3,6,6,6,6,3,3,6,6,3,
3,6,6,6,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,27,8,24,4,6,12,12,20,4,12,24,
72,6,48,15,16,4,12,8,12,8,15,3,12,12,12,12,32,12,3,6,24,24,16,48,24,12,12,12,
12,24,1,4,4,4,12,12,8,8,4,4,1,4,3,4,6,3,6,6,24,24,3,6,24,24,3,6,3,6,3,6,6,1,3,
2,3,2,4,4,4,4,4,4,4,4,6,3,6,3,3,6,6,6,1,1,1,3,3,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[
1,35,18,18,18,20,28,20,23,74,21,26,100,22,36,19,12,2,15,17,7,21,9,14,4,20,34,
24,76,2,12,6,5,10,10,9,18,10,4,18,20,24,40,12,28,44,28,36,24,14,12,12,28,12,
14,28,40,10,22,1,1,3,2,15,17,3,5,10,10,6,1,2,3,6,10,10,2,3,9,5,6,10,10,18,18,
5,3,10,6,14,20,28,20,20,24,24,5,10,10,3,5,6,6,10,3,9,10,6,6,10,6,10,12,6,6,12,
6,12,6,12,12,2,4,4,2,4,4,4,4,4,4,4,4,1,1,3,6,6,3,5,10,6,3,2,3,3,6,10,3,6,6,6,
2,3,5,1,3,2,6,3,6,3,5,5,10,6,5,3,6,6,1,3,2,3,1,2,2,2,2,6,3,6,1,2,1,3,6,10,6,6,
10,2,2,2,2,2,4,2,6,6,6,2,2,4,2,4,4,1,3,1,1,1,1,1,1,3,2,1,2,2,3,1,1,1,1,2,1,1,
1,1,1,1,1,1,3,1,2,1,3,3,5,1,3,2,3,1,1,1,2,2,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,51,40,18,36,36,20,18,15,24,144,15,9,9,18,36,72,16,2,16,24,8,24,24,1,9,
18,9,18,16,12,24,48,6,24,9,8,2,2,6,6,8,6,6,1,1],[1,15,12,40,20,18,18,15,16,24,
48,15,3,9,36,16,2,16,24,8,1,9,9,16,12,6,12,3,8,2,2,1,3,1,1],[1,15,6,18,40,20,
3,9,36,36,15,12,4,24,24,12,15,9,9,24,18,12,36,16,2,16,24,8,12,12,12,12,1,3,3,
18,18,16,1,3,6,6,4,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,35,10,60,20,20,10,15,16,
5,15,20,5,30,20,40,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,35,10,20,20,20,
40,10,15,16,5,15,5,10,20,20,20,40,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,
35,10,20,20,20,40,10,15,16,15,5,5,10,20,20,20,40,16,1,5,10,5,10,10,10,16,5,5,
5,5,1,1,1],[1,35,10,26,10,20,20,20,15,30,25,10,100,10,60,15,20,16,5,15,5,25,
15,20,30,40,60,5,10,5,10,10,40,20,20,20,20,40,20,20,20,20,40,10,10,16,16,16,1,
5,15,15,5,10,5,5,10,10,5,10,20,20,40,40,5,10,5,10,5,10,10,10,10,16,1,5,10,5,5,
10,5,10,5,5,10,5,1,1,1,1,1],[1,21,1,21,28,21,7,7,21,21,21,21,28,28,28,8,7,7,
21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,21,22,28,21,63,21,7,7,
28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,7,8,28,
7,21,7,28,56,8,1,7,7,7,28,8,1,8,7,7,7,8,7,1,1,1,1],[1,45,40,45,30,36,120,45,
10,36,30,10,30,10,12,1],[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],[1,51,16,42,
36,60,20,38,27,48,32,2,15,45,12,2,36,9,18,18,30,60,72,4,8,16,16,16,1,3,3,6,9,
9,18,18,9,9,18,18,18,6,6,12,12,8,8,8,12,8,8,16,1,6,9,9,9,18,3,3,6,3,6,6,4,4,4,
8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,27,12,36,16,6,12,12,20,6,12,30,24,96,14,
72,15,24,16,48,48,2,15,3,18,18,12,12,48,12,2,3,6,6,36,12,12,24,24,24,24,72,24,
12,12,12,6,12,24,4,8,16,48,48,1,6,3,6,6,3,6,6,12,36,36,3,6,24,24,3,6,6,3,6,3,
6,6,6,12,6,6,12,12,4,12,8,8,12,8,16,8,1,6,6,3,6,6,3,3,3,3,6,3,6,6,6,6,6,4,12,
12,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,64,42,36,44,20,46,19,64,6,15,21,12,
6,12,9,30,18,42,60,72,16,32,64,32,1,1,1,2,3,9,30,18,3,9,18,6,18,18,6,12,12,16,
32,32,3,6,3,9,3,6,3,9,6,3,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,27,24,64,
6,12,20,20,60,60,10,19,64,15,15,6,6,12,6,3,6,18,18,12,12,96,36,6,12,24,16,32,
64,32,1,1,1,2,3,18,18,12,3,6,3,3,6,6,18,18,12,6,6,12,12,16,64,3,6,6,3,3,3,6,3,
3,6,6,3,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,43,26,18,16,30,12,60,4,43,
114,45,30,180,38,12,15,12,16,16,32,16,32,2,1,45,15,45,3,14,60,90,8,180,2,6,3,
18,6,3,6,18,30,36,24,12,36,36,60,12,24,30,12,12,36,30,36,24,6,38,4,8,16,16,32,
32,16,3,1,2,45,45,3,18,6,2,3,3,6,18,18,6,3,18,6,30,36,36,36,12,24,24,3,18,6,3,
18,6,3,6,18,6,6,6,36,6,6,12,6,12,6,4,4,8,8,8,8,8,4,8,8,8,8,16,8,3,1,3,6,6,3,
18,6,6,3,3,18,6,3,6,18,6,3,3,6,18,3,6,3,6,6,6,6,6,4,8,4,8,8,8,8,8,8,8,4,8,8,1,
3,3,3,6,3,6,6,3,3,6,1,4,8,3,1,1,1,1],[1,19,14,30,16,18,12,12,4,13,54,15,6,36,
14,36,3,12,16,32,32,2,1,3,3,3,9,14,12,6,8,24,2,12,6,9,6,6,3,6,6,12,6,12,24,12,
12,12,24,24,6,12,12,36,36,6,12,6,14,4,8,16,16,16,1,2,3,3,6,6,3,3,6,2,3,3,3,6,
6,6,6,9,9,6,6,6,12,12,12,12,3,6,6,6,6,6,6,6,6,12,6,12,6,12,12,6,12,12,6,12,12,
12,12,12,12,12,12,8,4,8,8,8,8,8,16,1,3,6,6,3,6,6,6,3,3,3,3,3,6,3,6,3,3,6,6,6,
6,6,6,6,12,6,6,6,12,6,12,12,4,8,4,4,8,8,8,1,3,3,6,3,3,6,3,3,6,6,1,4,8,3,1,1,1,
1],[1,43,24,16,30,12,60,4,12,12,38,24,15,16,16,32,32,2,1,45,6,2,3,18,6,6,12,
12,24,24,24,48,12,30,36,24,4,8,16,16,16,3,1,6,3,6,6,6,6,12,6,3,3,18,6,3,18,6,
6,3,12,6,6,6,12,12,8,8,8,8,4,8,8,16,1,6,6,3,3,6,3,6,3,6,3,3,6,6,6,6,6,4,4,8,4,
8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,19,12,12,16,18,12,12,4,6,12,18,36,48,14,3,
16,16,16,16,2,1,3,6,12,12,12,12,2,12,9,6,6,6,12,12,12,24,12,24,24,12,6,12,12,
4,8,16,16,16,3,1,6,6,3,6,6,12,6,3,12,6,3,6,6,6,3,3,6,6,12,6,12,6,6,12,12,4,4,
8,8,4,8,8,16,1,3,6,6,3,3,6,6,3,3,6,3,6,6,6,6,6,4,4,8,4,8,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,27,14,6,16,6,12,12,20,13,54,3,18,36,14,12,15,4,48,32,2,15,3,3,3,3,
14,6,8,24,2,6,3,6,6,9,6,6,6,12,24,4,12,36,12,12,6,12,6,12,24,6,14,4,8,16,16,
16,1,1,2,3,1,3,6,6,6,6,2,9,3,6,6,6,6,3,6,6,12,12,12,12,3,6,6,3,6,9,6,6,6,6,6,
12,6,12,6,12,8,8,8,8,8,16,1,3,6,6,1,3,6,3,6,3,3,3,6,3,3,3,6,6,6,6,4,4,8,4,8,1,
3,1,1,3,3,3,1,4,1,1,1,1,1],[1,27,10,18,64,6,12,20,20,15,30,21,6,84,10,36,19,
12,64,15,15,5,21,9,20,30,24,60,12,3,6,3,18,6,24,24,12,12,12,36,24,12,12,12,12,
12,24,6,10,16,32,64,32,1,1,3,15,15,3,3,6,6,1,2,3,6,6,6,3,3,3,6,18,18,3,3,6,12,
12,24,24,3,6,3,3,6,6,3,3,6,6,6,6,6,12,12,16,32,32,1,3,3,6,1,3,3,6,3,6,6,3,3,1,
3,2,6,3,6,3,3,3,6,6,3,3,6,3,3,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,
8,1,1,1],[1,43,26,18,16,30,12,44,12,31,126,21,30,132,34,36,11,12,16,16,32,16,
32,4,3,21,11,21,9,28,20,42,24,108,6,18,9,24,6,9,6,24,30,48,24,12,48,48,60,12,
24,30,12,12,48,30,48,24,18,34,4,8,8,16,16,32,32,16,1,3,4,15,21,9,24,6,6,9,9,6,
24,24,6,9,24,6,30,48,48,48,36,24,24,9,24,6,3,12,6,3,6,12,6,6,6,24,18,18,36,18,
36,18,4,4,8,8,4,4,8,8,4,4,4,8,8,16,1,3,9,18,18,9,24,6,4,3,3,12,6,3,6,12,4,3,3,
6,12,3,6,3,6,6,6,6,18,1,4,4,4,4,4,4,8,8,4,3,3,3,3,6,3,6,4,3,3,6,1,1,1,1,4,1,1,
1,3,1,1,1,1,1,1,1,1],[1,51,40,90,36,36,20,18,15,24,144,15,9,36,9,36,18,36,72,
16,2,16,24,8,24,24,1,9,18,9,18,18,18,16,12,24,48,6,24,9,9,9,16,8,2,2,6,6,9,8,
6,6,1,1,1],[1,51,24,40,18,36,36,20,108,36,18,15,32,24,96,144,15,9,6,18,18,9,
18,18,18,36,72,36,18,36,72,16,2,16,24,8,24,96,24,1,18,18,36,9,18,9,18,18,36,
18,16,32,24,12,24,48,6,24,24,9,6,9,9,18,8,16,2,2,6,24,6,9,8,2,6,6,6,1,6,1,2,
1],[1,51,12,36,40,18,36,36,20,6,36,54,144,18,72,15,24,8,24,48,24,144,15,9,18,
18,36,36,48,36,9,18,36,72,24,72,72,36,36,36,36,72,16,2,16,24,8,24,24,24,24,48,
48,24,24,1,6,9,6,18,9,18,18,36,36,9,18,72,72,9,18,9,18,9,18,18,16,32,2,6,12,
24,48,6,12,8,24,24,24,24,24,24,6,18,9,18,9,9,18,18,18,8,16,2,2,6,6,6,6,12,12,
6,6,24,9,8,8,8,6,2,6,6,6,6,6,6,1,8,6,1,2,1],[1,35,10,26,10,60,20,20,15,30,25,
50,100,10,60,15,20,16,5,15,5,25,15,20,20,30,40,60,5,30,25,10,20,10,40,80,20,
20,20,20,40,20,20,20,20,40,10,10,16,16,16,1,5,15,15,5,20,10,5,5,10,10,5,10,20,
20,40,40,5,10,5,10,10,5,10,10,10,10,30,10,20,20,10,16,16,16,1,5,10,5,5,10,5,
10,5,10,5,10,5,5,10,5,10,5,10,16,5,5,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,55,55,55,
66,55,110,66,12,55,55,12,22,1],[1,45,30,40,45,45,90,45,30,36,40,120,120,45,90,
45,45,30,10,36,30,120,45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,30,40,
45,135,45,15,15,36,40,120,120,15,15,45,45,45,45,45,10,36,15,15,120,45,10,40,
36,15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,45,36,40,45,30,90,36,120,
45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,45,40,45,90,30,36,120,45,
45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,51,34,18,64,42,36,44,20,39,162,
21,66,132,46,36,19,12,64,64,64,6,15,21,11,21,9,42,12,20,42,24,108,6,12,18,9,
30,18,21,18,30,12,42,60,24,72,12,60,108,84,36,24,42,12,12,60,12,42,60,72,18,
46,16,32,64,32,64,1,1,3,6,15,21,3,9,18,30,6,1,2,3,6,18,18,6,3,21,9,6,30,30,18,
18,9,3,30,6,42,60,60,60,36,24,24,9,30,18,3,9,18,6,18,3,21,18,18,6,18,6,18,36,
18,18,36,18,36,18,12,12,6,12,12,6,12,12,12,12,12,12,12,12,16,64,16,32,32,16,
32,32,1,3,9,18,18,3,9,30,6,7,6,3,3,18,18,3,6,18,6,6,3,9,1,3,2,6,3,6,3,9,9,18,
6,9,3,6,18,3,9,6,9,3,6,6,6,6,18,3,18,3,6,3,3,6,18,6,6,18,6,6,6,6,6,12,6,6,6,6,
6,6,12,6,12,12,4,4,4,8,16,32,3,9,1,3,3,3,3,3,9,6,3,6,6,3,3,3,3,3,6,3,3,3,3,3,
3,3,3,3,3,6,3,3,3,9,3,9,6,3,3,3,3,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,51,26,42,16,42,36,60,20,43,114,57,42,228,
38,84,27,28,16,48,32,48,32,2,15,45,15,57,21,14,12,60,90,56,180,2,36,6,9,18,18,
9,42,18,12,42,36,72,72,28,60,60,60,84,72,30,36,36,60,36,30,60,72,18,38,4,8,16,
16,16,48,48,32,32,16,16,1,3,7,2,45,45,7,9,18,18,18,3,6,9,18,18,18,2,9,9,9,18,
18,18,42,42,9,9,18,18,30,36,60,36,36,72,72,9,18,18,9,9,18,18,18,9,9,18,18,18,
18,18,18,36,6,6,12,6,12,6,36,36,6,12,12,6,12,12,12,12,12,12,12,12,4,12,8,8,8,
8,8,12,8,8,8,8,16,16,8,16,16,16,16,16,3,1,3,6,6,7,9,18,18,3,6,9,9,18,18,9,18,
18,18,6,9,9,3,9,6,18,9,18,9,9,9,18,18,9,9,18,18,3,3,6,3,3,6,6,6,6,6,9,6,3,6,3,
9,18,18,18,18,18,6,6,6,6,6,12,6,18,18,18,6,6,12,6,12,12,4,4,8,4,12,12,8,8,8,8,
8,8,8,4,8,4,8,8,8,16,1,3,3,1,1,3,3,3,3,6,3,6,6,9,3,3,3,3,6,3,3,3,3,3,3,3,3,9,
3,6,3,9,9,9,3,3,6,9,3,3,3,6,6,18,18,1,4,4,8,4,4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,75,160,30,60,20,100,10,75,96,
160,75,15,60,15,30,60,120,96,40,160,240,80,5,1,5,10,15,15,30,15,15,30,30,40,
80,15,15,15,30,20,10,20,40,32,32,5,6,10,6,5,1],[1,75,160,30,60,100,20,50,35,
96,160,15,75,60,15,30,60,120,96,80,80,200,160,1,5,5,10,15,15,30,15,15,30,30,
40,80,15,15,15,30,10,20,20,40,16,16,32,5,6,10,6,5,1],[1,75,40,30,60,60,20,70,
15,96,120,80,10,15,15,10,15,30,30,30,60,120,96,10,40,40,40,40,1,15,30,30,15,
30,30,20,30,40,40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,51,36,36,40,90,36,
36,20,6,144,54,36,144,18,72,15,24,40,24,144,24,144,15,9,6,18,18,18,36,36,36,
48,36,18,9,36,18,18,36,18,36,72,24,72,36,72,72,90,36,36,72,36,36,72,16,2,16,
24,8,24,24,24,24,48,144,24,24,1,6,9,6,18,9,18,18,18,18,36,36,9,36,18,36,72,72,
9,18,9,18,18,9,18,18,18,36,36,18,18,36,36,16,64,2,6,24,12,24,48,6,12,24,8,24,
24,24,24,24,24,9,6,18,6,9,18,18,9,9,9,9,18,18,9,18,18,18,18,18,16,8,32,2,2,6,
6,6,6,12,12,24,6,6,24,9,9,9,9,9,9,9,8,16,8,8,2,6,2,6,6,6,6,6,6,6,9,1,8,6,6,1,
2,2,1,1,1,1],[1,55,66,55,55,165,55,66,55,110,110,165,66,66,66,12,55,55,55,55,
66,12,55,55,12,22,12,1,1],[1,91,112,126,84,140,28,98,35,112,224,64,8,7,105,14,
21,84,42,126,168,168,28,56,56,56,112,7,21,84,42,21,84,42,42,64,56,56,56,56,56,
28,56,56,7,28,21,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,45,30,36,40,45,90,
45,90,45,30,90,36,40,120,120,45,45,45,45,90,90,45,90,45,45,30,10,36,36,36,30,
120,45,45,45,45,45,45,45,10,40,36,36,36,30,30,30,45,10,20,20,36,30,12,10,10,
10,12,10,1,1,1,1,1],[1,75,40,160,30,60,20,100,180,180,10,75,96,160,160,160,75,
15,30,10,60,30,15,30,90,30,60,60,360,60,30,60,120,96,40,160,240,80,160,5,1,5,
10,15,90,30,60,15,30,15,15,30,30,90,30,60,30,30,60,60,96,40,240,40,80,40,15,
30,10,15,15,15,30,15,15,30,30,15,30,30,20,10,20,40,40,32,32,5,15,15,15,15,15,
15,6,20,10,10,10,20,32,15,6,5,10,6,5,1,1],[1,75,40,160,30,60,100,20,180,180,
50,35,96,160,160,160,15,75,10,30,60,30,15,30,30,90,60,60,240,180,30,60,120,96,
80,80,200,160,160,1,5,5,10,15,30,90,60,15,30,15,15,30,30,30,90,60,30,30,60,60,
96,80,200,40,80,40,15,10,30,15,15,15,30,15,15,30,30,15,30,30,10,20,20,40,40,
16,16,32,5,15,15,15,15,15,15,6,10,20,10,10,20,16,16,15,6,5,10,6,5,1,1],[1,115,
160,90,180,140,100,70,75,96,160,320,10,75,45,60,30,60,45,90,90,90,180,360,96,
40,160,240,80,160,5,1,5,10,15,45,90,90,15,45,30,30,90,90,30,60,60,96,40,40,80,
80,160,40,15,10,15,45,15,30,15,45,30,15,30,30,20,10,20,40,40,32,32,5,15,15,15,
15,15,15,6,10,10,20,10,20,32,15,6,5,10,6,5,1,1],[1,75,10,66,160,30,60,20,100,
15,30,45,30,180,10,180,75,60,96,160,160,160,75,15,5,45,45,20,30,120,60,60,15,
30,15,90,30,120,120,60,60,60,180,120,60,60,60,60,60,120,30,10,96,96,96,40,160,
240,80,160,5,1,15,15,15,15,15,30,30,5,10,15,30,30,30,15,15,15,30,90,90,15,15,
30,60,60,120,120,15,30,15,15,30,30,15,15,30,30,30,30,30,60,60,96,40,80,40,80,
40,80,80,1,15,15,30,5,15,15,30,15,30,30,15,15,5,15,10,30,15,30,15,15,15,30,30,
15,15,30,15,15,30,30,30,30,30,30,30,30,20,10,20,40,40,80,32,32,5,15,15,15,15,
15,15,30,30,6,10,10,10,20,20,40,5,6,6,6,5,10,6,5,1,1],[1,75,20,60,40,30,60,60,
20,10,60,90,120,240,70,120,15,40,96,40,120,80,120,80,10,15,15,30,30,60,60,80,
60,10,15,30,30,60,60,60,120,40,120,120,120,120,60,60,60,30,60,120,96,10,40,40,
40,40,120,120,80,80,40,40,1,10,15,10,30,15,30,30,60,60,60,15,30,120,120,15,30,
30,15,30,15,30,30,30,60,30,30,60,60,96,10,30,40,40,20,30,40,20,40,40,40,40,40,
40,40,40,5,10,30,15,30,30,15,15,15,15,30,15,30,30,30,30,30,10,10,10,30,30,40,
20,20,10,10,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,
5,10,6,5,1,1],[1,105,175,315,105,35,126,105,630,120,315,70,126,35,70,105,35,
105,105,70,126,120,105,105,210,105,70,35,21,42,35,21,15,15,7,1],[1,91,50,42,
112,126,84,140,28,91,294,105,126,420,98,84,35,84,112,112,224,112,224,64,8,7,
105,35,105,21,56,140,210,56,420,14,42,21,84,42,21,42,84,126,168,168,84,168,
168,252,84,168,126,84,84,168,126,168,168,42,98,28,56,56,56,112,112,224,224,
112,64,7,7,8,105,105,21,84,42,14,21,21,42,84,84,42,21,84,42,126,168,168,168,
84,168,168,21,84,42,21,84,42,21,42,84,42,42,42,168,42,42,84,42,84,42,64,28,28,
56,56,56,56,56,56,56,56,56,28,56,56,56,56,56,56,112,56,7,7,21,42,42,21,84,42,
28,21,21,84,42,21,42,84,28,21,21,42,84,21,42,21,42,42,42,42,42,64,7,28,56,28,
56,56,56,56,56,56,56,56,56,28,56,56,8,7,21,21,21,42,21,42,28,21,21,42,7,7,7,7,
7,28,56,7,7,7,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,115,50,66,160,
90,180,140,100,55,330,45,210,420,70,180,75,60,96,160,160,320,160,320,10,75,45,
35,45,45,70,60,20,90,120,300,30,60,90,45,90,90,105,90,90,60,90,180,120,360,60,
180,420,180,180,120,90,60,60,180,60,90,180,360,90,70,96,96,96,40,160,240,80,
160,160,320,320,160,5,1,15,10,15,45,15,45,90,90,30,5,10,15,30,90,90,30,15,105,
45,30,90,90,90,90,45,15,90,30,90,180,180,180,180,120,120,45,90,90,15,45,30,30,
90,15,105,90,30,30,90,30,90,60,90,90,180,90,180,90,60,60,30,60,60,30,60,60,60,
60,60,60,60,60,96,96,96,40,40,240,80,40,40,80,80,160,40,40,40,80,80,160,1,15,
45,90,90,15,45,90,30,35,10,15,15,30,90,15,30,30,30,10,15,45,5,15,10,30,15,30,
15,45,45,90,30,45,15,30,30,15,45,30,45,15,30,30,30,30,90,15,90,15,30,15,15,30,
90,30,30,90,30,30,30,30,30,60,30,30,30,30,30,30,60,30,60,60,96,20,10,40,20,40,
40,40,40,40,40,80,80,40,32,32,15,45,5,15,15,15,15,15,45,30,15,30,10,15,15,15,
15,15,30,15,15,15,15,15,15,15,15,15,15,30,15,15,15,45,15,45,30,15,15,15,15,30,
30,30,30,6,20,10,10,10,10,20,40,10,10,10,20,20,20,20,40,32,32,5,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,6,6,6,5,10,10,20,10,10,10,10,10,20,15,6,6,6,5,5,
5,10,6,5,1,1,1,1,1],[1,195,400,450,180,300,20,270,75,576,240,1440,30,15,225,
180,30,180,45,270,90,450,540,360,160,576,20,360,160,480,480,80,240,240,1,15,
15,30,45,45,270,90,45,45,270,90,90,90,90,180,180,160,360,120,120,480,480,60,
120,120,240,15,90,45,45,45,90,45,45,90,45,90,90,160,80,20,60,20,60,120,60,60,
120,120,192,96,192,15,15,45,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,
15,15,10,16,16,15,15,10,6,6,1],[1,195,90,90,400,450,180,300,20,195,810,225,
450,900,270,180,75,60,576,400,240,1440,240,1440,30,15,225,75,225,45,210,180,
300,450,120,900,30,180,90,45,270,90,45,90,270,180,450,540,360,360,60,540,540,
900,180,360,450,180,180,540,180,450,540,360,90,270,160,576,20,360,160,480,480,
80,240,240,240,240,480,1440,240,240,1,15,15,30,225,225,15,45,90,270,90,15,30,
45,90,90,90,30,45,45,45,90,270,270,90,90,45,45,270,90,450,540,540,540,180,360,
360,45,270,90,45,45,270,90,90,45,45,90,270,90,90,90,90,540,90,90,180,90,180,
90,180,180,90,180,180,90,180,180,180,180,180,180,180,180,160,640,576,20,60,
360,120,480,360,120,120,480,480,60,120,360,120,120,480,480,80,240,120,240,240,
240,240,240,15,15,45,90,90,15,45,270,90,15,90,45,45,270,90,45,90,270,90,90,45,
45,15,45,30,90,45,90,45,45,45,90,90,45,45,90,270,45,45,90,45,45,90,90,90,90,
90,45,90,45,90,45,45,90,90,90,90,90,90,90,90,90,90,180,90,90,90,90,90,90,180,
90,180,180,160,80,320,20,60,20,60,120,60,120,60,60,60,120,120,120,120,120,120,
360,480,60,120,60,120,120,120,240,192,96,192,15,45,15,15,15,45,45,45,45,90,45,
90,90,45,45,45,45,45,90,45,45,45,45,45,45,45,45,45,45,90,45,45,45,45,45,45,90,
45,45,45,45,90,90,90,90,80,160,80,80,36,15,20,60,60,60,20,60,120,60,60,60,60,
60,60,60,60,60,60,120,120,192,96,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,
10,80,36,15,15,15,15,15,15,15,15,60,60,60,60,45,10,20,20,36,16,16,15,15,15,15,
15,15,15,15,15,15,10,10,10,16,16,15,15,6,6,10,6,6,1,1],[1,315,1120,630,1260,
420,420,210,315,2016,3360,960,315,315,1260,315,630,1260,2520,280,2016,840,
1680,2520,1680,21,21,105,210,315,315,630,315,315,630,630,280,960,840,840,1680,
1680,315,315,315,630,280,560,210,210,420,840,336,672,672,672,105,280,126,126,
210,210,126,126,120,240,105,56,112,21,21,1],[1,315,120,1120,630,1260,420,420,
1260,1260,210,315,2016,1120,3360,3360,960,315,315,210,210,1260,630,315,630,
630,630,1260,1260,2520,1260,630,1260,2520,280,2016,840,1680,2520,1680,3360,
960,21,21,105,210,315,630,630,1260,315,630,315,315,630,630,630,630,1260,630,
630,1260,1260,280,1120,2016,960,840,2520,840,840,1680,1680,840,840,315,210,
210,315,315,315,630,315,315,630,630,315,630,630,280,560,560,960,210,210,420,
840,840,840,336,672,672,672,105,315,315,315,315,315,315,280,280,280,126,126,
210,210,210,210,210,210,420,336,672,315,280,126,126,120,240,105,210,210,126,
126,120,56,112,105,56,21,21,21,21,1,1],[1,1155,6160,6930,13860,4620,1540,2310,
1155,22176,18480,36960,21120,330,1155,3465,13860,2310,13860,3465,6930,6930,
6930,13860,27720,6160,22176,8064,1540,9240,12320,18480,18480,6160,18480,18480,
77,231,1155,2310,3465,3465,6930,6930,3465,3465,6930,6930,6930,6930,6930,13860,
13860,6160,22176,21120,9240,9240,9240,18480,18480,36960,4620,9240,9240,18480,
1155,2310,3465,3465,3465,6930,3465,3465,6930,3465,6930,6930,6160,12320,6160,
1540,2310,1540,4620,9240,4620,4620,9240,9240,8064,2640,7392,7392,7392,14784,
1155,1155,3465,3465,3465,3465,3465,6160,6160,1386,2772,1155,2310,2310,4620,
2310,4620,4620,7392,3465,770,1386,2772,2640,2640,2640,5280,1155,1155,1155,
1155,2310,770,1386,616,1232,2464,1155,1155,770,672,616,231,462,462,330,231,
352,77,22,1],[1,1155,330,1386,6160,6930,13860,4620,1540,1155,6930,3465,6930,
13860,2310,13860,1155,4620,22176,6160,18480,36960,18480,36960,21120,330,1155,
3465,1155,3465,3465,2310,13860,4620,6930,9240,13860,2310,13860,6930,3465,6930,
6930,3465,6930,6930,13860,6930,13860,27720,27720,4620,13860,13860,13860,13860,
27720,6930,13860,13860,13860,13860,6930,13860,27720,6930,2310,6160,22176,
22176,22176,8064,1540,9240,12320,18480,18480,6160,18480,18480,18480,18480,
36960,36960,18480,18480,21120,77,231,1155,330,3465,3465,1155,3465,6930,6930,
6930,1155,2310,3465,6930,6930,6930,2310,3465,3465,3465,6930,6930,6930,6930,
6930,3465,3465,6930,6930,6930,13860,13860,13860,13860,27720,27720,3465,6930,
6930,3465,3465,6930,6930,6930,3465,3465,6930,6930,6930,6930,6930,6930,13860,
6930,6930,13860,6930,13860,6930,13860,13860,6930,13860,13860,6930,13860,13860,
13860,13860,13860,13860,13860,13860,6160,24640,22176,22176,22176,21120,8064,
1540,4620,9240,9240,18480,18480,9240,9240,9240,18480,18480,36960,4620,9240,
9240,9240,9240,18480,18480,6160,18480,9240,18480,18480,18480,18480,18480,231,
1155,3465,6930,6930,1155,3465,6930,6930,1155,2310,3465,3465,6930,6930,3465,
6930,6930,6930,2310,3465,3465,1155,3465,2310,6930,3465,6930,3465,3465,3465,
6930,6930,3465,3465,6930,6930,3465,3465,6930,3465,3465,6930,6930,6930,6930,
6930,3465,6930,3465,6930,3465,3465,6930,6930,6930,6930,6930,6930,6930,6930,
6930,6930,13860,6930,6930,6930,6930,6930,6930,13860,6930,13860,13860,6160,
12320,6160,12320,22176,21120,1540,2310,1540,4620,9240,4620,9240,4620,4620,
4620,9240,9240,9240,9240,9240,9240,9240,18480,18480,4620,9240,4620,9240,9240,
9240,18480,8064,2640,7392,7392,7392,14784,1155,3465,1155,1155,1155,3465,3465,
3465,3465,6930,3465,6930,2310,3465,3465,3465,3465,3465,6930,3465,3465,3465,
3465,3465,3465,3465,3465,3465,3465,6930,3465,3465,3465,3465,3465,3465,6930,
3465,3465,3465,3465,6930,6930,6930,6930,6160,6160,6160,6160,6160,6160,1386,
2772,1155,1540,2310,2310,2310,2310,4620,1540,4620,9240,2310,2310,2310,4620,
4620,4620,4620,4620,4620,4620,4620,4620,9240,9240,8064,2640,7392,7392,7392,
1155,1155,3465,3465,3465,3465,3465,3465,3465,3465,3465,3465,3465,3465,3465,
770,6160,6160,1386,2772,1386,1386,2640,2640,2640,5280,1155,1155,1155,1155,
1155,1155,1155,1155,2310,2310,4620,2310,2310,2310,2310,2310,4620,4620,3465,
770,1540,1540,1386,1386,2772,1386,2640,2640,2640,616,1232,2464,1155,1155,1155,
1155,1155,1155,1155,1155,1155,1155,2310,770,770,770,1386,672,616,1232,616,616,
1155,1155,231,462,462,770,672,330,616,231,462,231,231,462,352,330,231,77,77,
22,22,1,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,11,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,14,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,18,18,20,20,20,21,22,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,40,42,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,55,56,60,60,60,60,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,80,80,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,110,
112,120,120,120,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
144,144,144,160,160,160,160,168,168,168,168,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,256,288,288,288,320,320,320,320,336,
336,336,360,360,360,384,384,384,384,384,384,384,384,384,384,384,576,576,576,
640,660,720,720,720,720,768,768,960,960,960,1152,1320,1344,1440,1920,1920,
1920,1920,1920,2520,2688,3840,5760,11520,20160,40320,443520,887040],
[490,469,483,462,406,402,352,430,461,469,398,434,402,321,458,352,468,433,274,
406,301,189,301,189,275,483,469,434,468,434,434,458,350,430,398,369,321,453,
350,402,434,398,390,434,390,398,350,402,311,204,243,433,311,311,311,345,204,
402,352,352,311,350,402,311,204,402,458,407,274,274,274,385,461,370,356,293,
294,406,301,301,301,301,189,189,301,301,275,486,484,469,483,434,434,469,434,
390,398,390,468,457,434,390,390,390,453,434,434,434,390,398,398,390,390,434,
434,398,390,402,311,311,311,311,204,204,434,398,390,434,434,398,390,390,434,
434,390,398,390,390,390,390,320,402,402,311,402,311,402,350,350,402,350,350,
402,350,350,350,350,350,350,350,350,407,273,274,274,274,275,385,461,433,370,
370,293,294,370,370,369,293,294,180,433,370,370,369,370,293,294,406,301,384,
301,301,301,301,301,484,469,434,398,402,469,434,398,390,468,458,434,434,398,
390,434,390,398,390,458,434,434,468,434,457,390,434,390,434,434,434,390,390,
434,434,390,398,434,434,398,434,434,398,398,398,398,391,434,402,434,402,434,
434,390,390,390,390,390,402,402,402,402,402,350,402,390,390,390,402,402,350,
402,350,350,407,355,406,354,274,275,460,458,461,433,370,432,383,433,433,433,
370,369,370,370,369,370,370,293,294,433,370,433,384,384,384,301,385,444,387,
388,389,307,469,434,468,469,469,434,434,434,434,398,434,398,458,434,434,434,
434,434,402,434,434,434,434,434,434,434,434,434,434,402,434,434,434,434,434,
434,398,434,434,434,434,402,402,390,390,406,407,407,406,407,406,462,440,469,
460,458,458,458,458,426,461,433,370,458,458,458,426,433,432,432,432,433,433,
433,433,383,384,385,444,387,388,389,468,469,434,434,434,434,434,434,434,434,
434,434,434,434,434,473,406,407,462,440,462,462,444,443,442,415,469,469,469,
469,468,469,469,469,458,458,426,458,458,458,458,458,432,433,434,473,460,461,
462,462,440,462,442,443,444,476,465,447,469,469,468,468,469,469,469,469,469,
468,458,473,473,473,462,474,476,465,476,476,468,469,484,478,481,473,474,483,
476,484,478,484,484,481,482,483,484,486,486,488,488,490,490],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,19,19,1,1,9,15,9,
17,8,1,1,5,5,5,5,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
2,6,6,6,6,6,6,6,6,68,5,19,19,19,25,72,73,73,74,74,76,77,74,74,73,76,77,75,9,
15,15,9,15,17,8,5,5,38,21,21,2,5,21,1,2,2,2,2,2,2,2,2,17,15,17,17,15,17,17,17,
15,17,15,17,17,17,17,17,17,17,17,17,17,17,17,17,2,2,2,2,17,17,15,17,17,15,15,
15,17,17,2,2,17,17,17,2,17,17,17,17,17,6,6,6,6,6,6,6,17,2,2,6,6,6,2,6,6,68,68,
9,68,19,25,88,89,9,9,15,99,100,73,73,73,74,73,74,74,73,74,74,76,77,73,74,9,
190,190,38,21,72,26,304,305,306,307,27,27,17,2,27,28,28,28,27,28,28,28,15,17,
27,27,41,41,41,28,28,28,27,28,27,41,41,17,41,41,41,17,17,17,17,17,15,17,41,41,
17,6,6,17,17,78,162,162,272,68,73,89,88,197,276,277,277,277,277,276,73,73,74,
89,89,89,88,181,99,281,281,181,181,73,27,100,190,72,26,304,305,306,17,27,125,
125,125,125,125,125,28,28,125,125,41,41,27,88,272,270,359,360,359,89,303,413,
414,415,361,361,361,197,310,197,197,361,277,277,276,277,277,89,277,277,281,
181,125,405,276,278,359,359,360,359,414,413,303,445,446,447,361,361,420,420,
361,361,361,361,197,310,277,405,405,405,359,463,445,446,445,445,420,361,470,
471,472,435,463,475,445,470,471,470,470,472,482,475,470,485,485,487,487,489,
489],
[( 1, 2)( 3, 9)( 4, 8)( 5,20)( 7,10)(13,23)(15,18)(17,22),( 1, 2)( 3,18,17,10)
( 4,12,11, 9)( 5,24)( 6, 8)( 7,23)(13,14,15,21)(16,19,20,22)],
[[[[]]],[[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[4,1,5,2,4,-1,2,-1,4,-1]]],[[[1,
1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-1,1,1,4,-2,1,1,4,-1]]],[[[1,1,2,1],[
2,-1,1,1,2,-1,3,-1,2,-2],[4,-5]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[
4,1,3,2,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1,4,-1,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]]],[[[1,1,2,-2,1,1],[2,1,3,1],[
3,1,2,-1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[4,1,5,2,
4,-1,2,-1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,1,4,1],[4,1,5,
2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-2,1,1,4,2,1,1]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[5,-2,1,1,4,-1,5,1,4,1,5,1]]],[[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,3,3,1,5,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,2],[4,1,3,1,2,-2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1,4,1,3,1,5,
-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,
3,1],[5,1,4,-1,3,1,5,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,2,5,
-2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]]],[[[1,1,2,-2,1,1],[2,1,3,1],[2,1,
4,3,2,-1,3,1,2,-2]]],[[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[4,1,2,1,4,1,5,-2,3,
1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1],[1,1,5,-1,6,1,5,
-1,6,1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[4,1,3,1,2,-1,4,1,2,1]]],[[[2,1,1,1,2,-2,
1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-1],[5,2,3,1,4,1]]],[[[1,1,2,-2,1,1],[3,1,2,
1],[3,1,2,-1,4,2,3,1,2,1,3,1]],[[1,1,2,-2,1,1],[3,1,2,1],[4,1,3,1,2,1,3,1,2,1,
4,2]]],[[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[4,1,5,2,4,-1,2,-1,4,-1]],[[1,1,2,
-2,1,1],[3,1,2,1],[2,1,3,1],[3,1,4,-1,5,1,2,1,4,2,5,-1]]],[[[2,1,1,1,2,-2,1,1,
2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,-1,5,-1,6,1,5,-2]]],[[[1,1,2,1,
1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[4,1,5,1,3,1,4,-1,5,2,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[4,1,3,1],[5,2,4,1,5,1,6,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,
5,1],[6,1,5,1,6,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
4,1,3,1],[4,1,6,-1,5,1,6,1,5,-1,4,-1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,
2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,
1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,-1,3,1,4,1,5,
2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,
1,1],[4,1,3,1],[3,1,4,-1],[6,1,5,-2,6,1,5,-2,4,-1]]],[[[1,1,2,1,1,1],[3,1,2,1,
1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,
2,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[4,1,5,4,4,-1,3,
1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,4,-1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,
1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[2,1,1,1,
2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,2,4,1,3,1,6,1,4,1,5,
2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[1,1,4,-2,5,1,4,1,5,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,
3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[3,1,4,-2,3,1,4,-1,5,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[4,2,5,1,4,1,5,1,3,1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[
1,1,4,1],[5,1,1,1,4,-1,5,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[
4,-1,1,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-1,4,-1],[6,1,5,-1,6,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,2,5,3,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,2,5,1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,
-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,
1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]]],[[[
1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,-2,5,-2]],[[1,1,2,1],[2,-1,1,
1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,1,3,1],[6,1,5,-3,6,-1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,
1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[5,1,1,1,4,-1,5,-1]],[[1,
1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[4,1,1,1,4,1,5,-1,4,-2,5,-1]]],[[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,3,3,1,4,-1,3,1,4,1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,-1,5,1,6,1,5,-1,4,-1]]],[[[1,
1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-2,5,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,
4,-2,5,-1,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[4,1,3,1],[4,1,6,-2,5,-2]]],[[[1,1,2,-2,1,1],[3,1,2,1],[4,1,3,
1,2,1,3,1,2,1,4,2]],[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[2,1,5,-1,4,1,5,-1,4,
1,5,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,1,4,1]],[[1,1,2,1],[2,
-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,-2,5,-2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,
-1,2,-2],[1,1,4,1],[5,1,4,2,1,1,4,-1,5,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,
-2],[4,1,1,1],[4,2,5,-1,1,1,4,1,5,-1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[
4,-5]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1,4,-1],[6,1,5,1,
6,1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,5,-2]]],[[[2,1,1,
1,2,-2,1,1,2,-1]],[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,-2],[1,1,5,1],[5,1,6,2]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-1,3,1],[1,1],[5,1,4,1,5,1],[6,1,4,-2,6,-1]]],[[[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,
5,1,4,2,3,1,5,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,1,4,1]],[[1,
1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[5,-2,4,1,1,1,4,-1,5,-2]]],[[[1,1,2,
1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,-1,5,1,4,1,1,1,4,-1]],[[1,1,2,1],[2,
-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[1,1,5,-1,4,2,1,1,5,-1]]],[[[1,1,2,-2,1,1],[
3,1,2,1],[4,1,3,1,2,1,3,1,2,1,4,2]],[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[5,2,
4,-1,5,1,4,-1,5,1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[4,2,2,-2,3,1]],[[1,1,2,-2,1,
1],[3,1,2,1],[2,1,3,1],[4,1,5,2,4,-1,2,-1,4,-1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[
3,1,4,-1,2,1,3,1,4,-2,2,-1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[3,1,4,-1,2,1,3,1,2,
1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,5,1,
4,1,3,1,6,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,
2,6,2,5,-1,6,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[3,1,4,1],[4,1,3,1],[6,1,5,-2,4,1,6,-1,5,1]]],[[[1,1,2,1],[3,1,2,1,1,1,
2,-1,3,1],[4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,
-2],[7,1,6,-1,4,-1,6,-2,4,1,6,-1,7,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,
2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,
2,4,1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[4,2,2,-2,3,1]],[[1,1,2,-2,1,1],[3,1,2,
1],[2,1,3,1],[5,2,4,-2,2,-1,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,1],[4,-2,6,2,4,1,6,2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,1],[4,-2,6,-2,4,-1,6,1,4,-1,6,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1,4,4,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,
4,2,3,1,4,-2,5,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[
6,1,4,1,6,1,4,1,6,-2,4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,1],[4,-2],[7,1,6,1,4,1,6,1,7,1,6,2,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[4,1,3,1],[3,1,4,-1],[6,1,5,-2,6,1,5,-2,4,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,3,1,4,-1,5,2,4,1]]],[[[1,1,2,-2,1,
1],[3,1,2,1],[2,1,3,1,2,1,4,3,3,1]],[[1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[2,1,
5,2,2,1,4,2,5,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-1],[5,2,3,
1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-1],[5,2,3,1,4,1]],[[2,1,
1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,5,1,4,1,3,1,6,
-1]]],[[[2,-2]],[[1,1,2,-2,1,1],[3,1,2,1],[4,2,2,-2,3,1]]],[[[1,1,2,-2,1,1],[
2,1,3,1],[3,1,2,-1,4,-3,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-1,5,1,4,1,3,1,4,-1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,1,5,1],[6,1,4,1,3,1,6,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,2,5,3,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[5,1,4,2,3,1,4,-1,5,-2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,
-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]],[[2,1,1,
1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,-1,3,1,4,1,5,2]],[[2,1,1,1,2,
-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,4,1,3,1,5,1,3,1,4,1]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,
5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,
1,4,-1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,3,1,4,
-1,5,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[
4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-1],[5,1,4,1,5,1],[6,1,7,1,6,1,7,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,
1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,2,4,1,3,1,6,1,4,1,5,2]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[1,1,2,1,1,1],[
3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[5,2,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,
-1,3,1,4,1,5,2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,-1],[
6,1,5,-2,6,1,5,-2,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,
1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,
5,2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,
2,3,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,
4,-1,5,1,4,2,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,
5,2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,1,5,1]],[[2,-2],[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,1,5,-3,6,-1,4,-1]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,5,2,3,1,4,1,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,
1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,
4,-1,5,-1,6,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,
1],[6,1,3,1,4,-1,5,1,6,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,
2,4,1,5,1,4,1,3,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,
1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[3,1,4,-2,5,1,4,2,3,1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-1,5,2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
4,1,3,1,4,2,5,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,-1],[6,1,5,2,6,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,1,5,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,2]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,2,3,1]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,2,
5,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]],[[1,
1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,1,4,1],[5,2,4,1]],[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,-1,3,1,4,1,5,2]]],[[[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,
1,3,1],[3,1,4,1,5,-1,4,-1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[3,1,4,-2,5,-1,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,
3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,4,-1,5,
-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,2,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1,3,1,4,-2,5,
-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,3,1,5,-2,4,1,5,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,1,4,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,-2,5,-2]],[[1,1,2,1],[2,
-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,
5,-1,4,-1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,
-1,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
5,1,4,2,3,1,4,-2,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[3,1,5,-1,6,2,5,-2]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,
3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,
1,5,-2,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,2,5,3,4,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,1,4,1,3,1,4,-2,5,1]]],[[[1,1,2,1,1,1],[3,1,
2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,
1,3,1,4,-2,3,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,
-1,3,1,4,1,5,2]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,
5,-1,4,1,3,1,4,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,1,
3,1,4,-1,5,-1,4,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,
2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,2,
5,2,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1,4,-1,3,1]],[[2,1,
1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,1,5,1]]],[[[1,1,2,
1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[5,1,4,1,5,1,4,1,3,1,5,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,
-2,3,1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,3,1],[4,1,6,3,5,-2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,
-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-1,3,1,4,-1,3,1,4,1]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-2,4,-2]]],[[[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,
3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,-2,5,1,6,
2,5,-1,6,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,
5,1,4,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,2,3,
1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-3,3,1,4,-2]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,3,1,4,-1,5,1,6,1]]],[[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,-5]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,3,1,4,-1,5,1,6,
1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1],[4,-3]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,-1,4,-2,6,-1,4,-1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,2,5,3,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,-1,3,1,4,1,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,
4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,1,5,-3,6,
-1,4,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,-1,1,1,4,1]],[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[5,1,4,-2,5,1,4,-2,5,1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[4,-2,5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,-1,4,1,
5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[
4,-5]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-1,1,1,4,1,1,1]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1,4,-1],[6,1,5,1,6,1,5,-1]]],[[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1],[5,2],[6,-2,3,1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,
3,-1,2,-2],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,
2,-2],[1,1,4,1],[4,1,1,1],[5,1,6,-1,5,1,4,1,6,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,2,5,-2,
4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,4,1,5,1,4,-1,3,1]]],[[[1,1,
2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,-1]],[[1,1,2,1],[
2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[1,1,4,-2,5,1,4,1,5,1]]],[[[1,1,2,1],[2,-1,
1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1],[5,1,6,-1,5,1,4,1,6,-1]],[[1,1,2,1],[
2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,2,1,1,5,-1,1,1,4,-2,5,1]]],[[[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[5,2],[6,-2,4,1,3,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[
4,-1,1,1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1],[5,1,
6,-1,5,1,4,1,6,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,4,-1,5,1,4,
2]]],[[[1,1,2,-2,1,1]],[[1,1,2,-2,1,1],[1,1,2,1,1,1,2,-1],[4,1,3,1,4,-1,3,-1,
4,1,3,1,4,-2,3,1,4,1],[5,2],[6,2,3,1,6,1,3,1,6,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,3,1,4,-1,5,-1,4,1,5,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,1],[4,1,6,1,4,-1,6,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,1],[4,-1,6,1,4,-1,6,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,
1,4,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,2],[4,1,1,1,5,-1,1,1,4,1,
5,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,2,1,1],[5,1,6,-2,5,
-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[5,1,4,1,1,1,4,-1,5,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-2,1,1,4,1,1,1,4,-1]]],[[[1,
1,2,-2,1,1],[3,1,2,1],[4,2,2,-2,3,1]],[[1,1,2,-2,1,1],[3,1,2,1],[3,1,4,-1,2,1,
3,1,4,-2,2,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-2,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,
1,4,-2,5,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[5,1,4,-2,5,1,4,
-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[7,1,6,1,5,
1,7,1,6,1,5,1,4,1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[3,1,4,-1,2,1,3,1,2,1,4,1]],[[
1,1,2,-2,1,1],[3,1,2,1],[2,1,3,1],[2,1,5,2,2,1,4,2,5,-1]]],[[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,4,-1,5,1,4,1]],[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,5,2,6,-2]]],[[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,2,4,-2]],[[2,1,1,1,2,-2,1,1,2,-1],[
1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,2,6,2,5,-1,6,1]]],[[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[2,-2,3,1],[3,2,4,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
-1,3,1,4,-1,3,1,4,3]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,
4,1,5,2,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,
-1,3,1,4,-1,5,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,2,3,
1]]],[[[1,1,2,-2,1,1],[3,1,2,-1,3,1,2,-1,3,1,2,1,3,1]],[[1,1,2,-2,1,1],[3,1,2,
1],[2,1,3,1],[5,2,4,-2,2,-1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[
4,1,3,1,4,-1,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,
3,1,4,-1,5,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,-2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[6,1,4,1,5,1,6,1,4,-2,6,-1]]],[[[2,1,
1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,4,1,3,1,5,1,3,1,4,1]],[[2,1,1,1,
2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,2,6,2,5,-1,6,1]]],[[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,
1],[1,1],[4,1,5,1],[6,1,4,-2,5,1,6,2,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,
1,4,-1,3,1,4,-1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[4,-2],[5,1,3,1,4,-2,3,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-1,5,2,3,1,4,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]]],[[[2,1,1,1,2,-2,
1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[4,1,6,
1,5,-1,6,1,4,-2,5,1]]],[[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,4,3,
1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,5,1,4,1,3,
1,6,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[
3,1,4,1],[4,1,3,1,5,-1,4,-2,5,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,
3,1],[4,1,3,2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,3,4,2,
3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1,4,-3]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]]],[[[2,1,1,1],[3,2,2,-2],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,1,4,-2,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1],[6,1,7,1,4,-2,7,1,6,1]],[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[6,1,4,1],[7,1,6,1,8,-1,7,1,8,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,1,3,1,5,-2,4,2]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[
3,1,5,-1,4,1,3,1,4,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[
4,1,3,1,5,-2,4,-2,5,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,1],[4,-2],[7,1,6,1,4,1,6,1,7,1,6,2,4,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,1,4,1,6,-1,4,1,6,-1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[7,1,6,-1,4,-1,6,-1,7,1,6,
-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1],[4,-2,
6,-1,7,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[7,
1,6,-1,4,-1,6,-1,7,1,6,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,1],[4,1,6,1],[4,-2,6,-1,7,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,1],[6,1,4,1,6,1,4,1,6,-2,4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,1],[4,-2],[7,1,6,1,4,1,6,1,7,1,6,2,4,1]]],[[[1,1,2,-2,1,1],[
2,1,3,1,2,1,3,1,2,-1,3,1,2,-1]],[[1,1,2,-2,1,1],[2,1,3,1],[3,1,2,-1,4,-1,3,1,
2,1,3,1,4,1]],[[1,1,2,-2,1,1],[2,1,3,1],[2,1,4,3,2,-1,3,1,2,-2]]],[[[1,1,2,1,
1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[5,2,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,
1],[3,1,4,-1,3,1,4,1,5,2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,
4,1,3,1,5,1,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,
-1],[6,1,5,-2,6,1,5,-2,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,
2,-1],[1,1,2,1,1,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[4,-2],[5,1,3,1,4,-2,3,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,
1,2,1,1,1],[3,1,4,1],[4,1,5,1,4,1,3,1,4,-2,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,
2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,
-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,2,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,
3,3,1,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,-1]]],[[[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,
4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,
3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,
-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,6,
1,5,1]]],[[[1,1,2,1,1,1],[3,-2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[5,1,3,1,4,1,3,1,5,-2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,
1],[4,1,3,1],[6,1,5,-2,6,2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,
-1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,-1,4,2]],[[2,1,1,1,2,-2,1,
1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,
2,-2,1,1,2,-1,3,-1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,-1,4,2]],[[
1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,1,3,1,4,3,3,1]]],[[[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
2,-2,3,1],[3,1,4,1],[5,1,4,2,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,2,5,3,3,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,2,5,-1,4,
-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]],[[1,1,
2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,1,4,1],[5,2,4,1]],[[1,1,2,1,1,1],[2,1,
1,1,2,-2,1,1,2,-1,3,1],[4,1,3,1,4,3,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
1],[4,-3]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,-1,
4,1,6,-1,4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,
1,6,-1,4,-2,6,-1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,
4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,
-1]],[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,1,5,1]]],[[[1,1,2,1,1,1],[3,1,2,1,
1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,
2,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,3,1,4,-2,3,1,
5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,2,5,2,4,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
4,1,3,1,5,-2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,
1],[5,1,6,-1,4,-1,5,-1,6,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,
1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,3,
1,4,-1,5,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,
-1,4,-1,5,-1,6,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-3,3,1,
4,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,3,1,4,
-1,5,1,6,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,4,1,5,1,4,1,
3,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,
4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,2]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,
2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,2,3,1,5,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,1,4,2,3,1,5,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[4,3,3,1,4,-1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,1],[5,2,4,1,5,1,4,1,3,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,
3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,
1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[3,1,4,-2,5,1,4,2,3,1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[4,2,5,3,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,
5,1,3,1,4,-1,3,1,4,-1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
3,1,4,-1],[6,1,4,-1,5,-1,6,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,
3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,2,5,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1],[3,1,4,1,5,1,4,1,5,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-1,3,
1,4,-1,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,
1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,1,3,1,4,3,3,1]]],[[[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
5,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,
2,3,1,4,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1,4,-1,3,
1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,3,1,4,-2,3,1,5,1]]],[[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1],[5,1,4,1,5,1,3,1,4,-1,5,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,
1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,1,3,1,5,-2]]],[[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[4,1,5,1,4,1,5,-1,3,1,4,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-3,3,1,4,3,3,1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[
4,2,2,-2,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,2,2,-2,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]]],[[[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[5,2,4,3,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,
1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,
4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,4,1,
5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,5,1,4,1,3,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,2,5,1]]],[[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,
1,3,1,5,-2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,
-2,5,1,4,2,3,1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,-1,3,1,4,2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[5,1,4,1,5,1,4,1,3,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,
3,1],[3,1,4,2,5,-2,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,
1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,
4,-1,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,-1]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[4,1,5,1],[6,1,4,1,3,1,6,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]]],[[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,-1]]],[[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,
-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,-2,3,1,4,-1,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,
3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]]],[[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,1],[4,-1,6,1,4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1],[4,-1,6,-1,4,1,6,-1,4,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,
5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,2,5,
-2,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,-1,5,-1,4,1,5,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,4,-1,5,1,4,2]]],[[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,4,1,5,1,4,-1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,
3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,1,4,2,3,
1,5,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,
4,1,3,1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1],[4,1,5,1],[6,1,3,1,4,-1,5,1,6,1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,4,1,5,1,4,1,3,1,4,-1]]],[[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[4,1,3,1],[5,1,4,1,5,1,4,-1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[3,1,4,-2,5,-1,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[5,1,4,1,5,1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-2,3,1,4,-1,5,2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,
1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1],[5,1,1,1,4,1,5,-1,4,
-1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,1,1,1],[5,1,6,-1,5,1,4,
1,6,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,-2,3,1,4,1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1],[5,1,4,1,5,1,4,-1,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,-1,3,1,4,1,3,1,4,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,
2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1],[3,1,4,2,5,-2,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[4,1,3,1,5,-2,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,1,1,
1],[5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[4,
-2,6,-1,5,1,6,2,4,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[5,-2,
4,2,5,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,2],[4,1,1,1,5,-1,1,1,4,1,5,
1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1],[4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[6,1,4,1,6,1,7,1,6,2,7,1]]],[[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,-1,4,-1,6,-2]]],[[[1,1,2,1],[2,
-1,1,1,2,-1,3,-1,2,-2],[4,-5]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,
1],[5,1,1,1,4,-1,5,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,
1,5,2,3,1,4,-1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,
-1,5,1,4,1,3,1,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,
2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,1,3,2,4,1]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,-1,3,1,4,-1,5,1]]],[[[1,1,2,1,1,1],[
3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,
3,1],[3,1,4,-1,3,1,4,1,5,2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,
1],[5,1,4,1,3,1,4,-1,5,2,4,1]]],[[[1,1,2,-2,1,1],[1,1,2,1,1,1,2,-1],[4,1,3,1,
4,-1,3,-1,4,1,3,1,4,-2,3,1,4,1],[3,1,5,1],[3,1,6,-1,5,2,6,1]],[[1,1,2,-2,1,
1],[1,1,2,1,1,1,2,-1],[4,1,3,1,4,-1,3,-1,4,1,3,1,4,-2,3,1,4,1],[5,2],[5,1,3,1,
5,-1,3,1,6,1,3,1,6,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,3,
1,4,-2,3,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,3,4,
1,3,1]]],[[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,4,3,1]],[[2,1,1,1,2,
-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]]],[[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,2,3,1,4,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,
5,1],[5,1,4,-1,6,-1,5,1,6,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,
1,5,1],[6,1,4,-2,5,1,6,2,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,1],[4,-1,6,-2,4,1,6,2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,1],[4,-2],[7,1,6,1,4,-1,6,-1,7,1,6,-2,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,2,4,-2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,
2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,3,1,4,1,3,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,-1,4,1,6,-1,4,-2]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1],[4,-2,6,-1,7,-2]]],[[[1,1,2,1,
1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,1,4,4,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,
2,1,1,1],[3,1,4,1],[4,1,3,1,5,-3,4,1,3,1]]],[[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,
2,-1,3,1],[4,4,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,1,4,
1,3,1,4,-1,5,1,4,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[2,-2,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[4,1,3,1,4,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1],[5,1,3,1,4,-3,5,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[5,2,4,-2,3,1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,4,
3,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,2,5,-1,6,1,4,-2,5,1]]],[[[1,1,2,1],[
2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1],[4,-2,5,-2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,
-1,2,-2],[4,1,1,1],[5,1,4,-1,1,1,5,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[4,1,5,1],[6,1,5,1,4,1,3,1,6,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,
2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,3,1,4,-1,5,-2]]],[[[1,1,2,-2,1,1]],[[1,1,2,
-2,1,1],[1,1,2,1,1,1,2,-1],[4,1,3,1,4,-1,3,-1,4,1,3,1,4,-2,3,1,4,1],[3,1,5,
1],[5,2,6,1,3,1,6,-1,5,1,3,1]]],[[[2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-2,3,1]]],[[[2,
1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-2]],[[2,1,1,1],[3,
2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[7,1,6,1,4,-1,6,-1,7,1,6,-2,4,
-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,
1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,1,4,1,6,-1,4,1,6,
-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1,4,-1,6,
-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,1,4,1,
6,-2,4,-2]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,5,-1,4,1,
3,1,4,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2,3,1,4,1,3,1,4,-1,3,
1,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,2],[
7,1,4,-2,7,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,
1],[4,-2,6,-1,7,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[
4,-2],[7,1,6,-1,4,-1,6,-1,7,1,6,-1]]],[[[1,1,2,-2,1,1],[2,1,3,1,2,-1,3,1,2,
-2]],[[1,1,2,-2,1,1],[3,1,2,1],[4,1,3,1,2,-1,3,1,2,-1,4,1]]],[[[2,1,1,1,2,-2,
1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,
1,1],[3,1,4,-1,3,1,4,-2,3,1,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,
1,1,1,4,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,1,4,-1,1,1,4,
2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
2,-2,3,1],[3,1,4,1],[5,1,4,2,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,
2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,2,3,1,4,
-1]]],[[[1,1,2,-2,1,1],[3,1,2,1],[2,1,4,1,3,1,2,-1,3,1,4,-1]],[[1,1,2,-2,1,
1],[3,1,2,1],[3,1,4,-1,2,1,3,1,2,-1,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,
-1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,
4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,2,3,
1,4,-1,5,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,
6,-1,4,-1,5,-1,6,1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[4,3,3,1,5,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,
-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,2,5,2,4,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,
-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2],[5,1,3,1,4,-2,3,1,5,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]]],[[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,
1],[1,1],[5,1,4,-2,5,1,4,-2,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,1,
1,1],[5,2,4,-2,5,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,2,5,2,4,1]]],[[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,2],[4,2,2,-2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,
4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,
1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1,3,1,4,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,
1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[1,1,
2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,-1,4,2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,
1,2,1,1,1],[3,1,4,1],[5,2,4,-2,3,1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,
1],[4,1,3,1,4,3,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,1,3,1,4,-2]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,-1,5,-1,4,-1,5,-1]]],[[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,4,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,-1,3,1,4,
2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,1,3,1,4,-2]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,4,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,
1,4,-1,5,-1,4,-1,5,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,
3,1,5,-2,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,1,3,1,4,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,4,-1,3,1,4,
2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,1,1,1],[5,2,4,-2,5,-2]],[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[5,1,6,1,4,-2],[7,2,6,
-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[5,1,4,2,3,1,4,-1,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1],[4,1,5,1,4,-1,3,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,
1,3,1],[3,1,4,1,5,-1,4,-1,5,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[5,1,4,1,3,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,
1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]]],[[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
4,1,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,-1,4,-1,5,-1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,1,3,1,4,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,4,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-2,3,1,
4,-1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,1,4,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,5,-2]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,
-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,
1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,
-1,5,-1,6,1,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,4,3,1,4,
-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,
1,4,-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1],[3,1,4,-1,5,1,4,2,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[
4,1,3,1,5,-2,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,2,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,3,1,4,-1,5,-2]]],[[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,2,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,
2,4,1,3,1,4,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,
-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]]],[[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,-1,3,1,4,1,3,1,4,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[
3,1,4,-2,3,1,4,-1,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,
3,1,4,1,3,1,4,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1],[5,2,4,-1,
3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,
1,1,2,1,1,1],[3,1,4,4,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,
1],[3,1,4,-1,5,2,4,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,
1,3,1,4,-2,5,-1,4,2,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,
-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,
1,4,-2,5,1,4,2,3,1,5,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,1],[4,-2,6,-1,4,-1,6,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,1],[6,1,4,1,6,1,4,1,6,-2,4,-2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,
-1,1,1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-2,1,1,4,1,1,1,4,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[7,1,6,1,
7,-1,5,1,6,1,5,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[4,
-2,5,1,6,1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,
5,1],[4,1,6,2],[7,1,4,-2,7,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,1],[6,2,4,-2,6,1,4,1,6,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,
1,1,4,1,1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-2,1,1,4,1]]],[[[2,
1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1],[4,-2,6,-1,7,
-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1],[7,1,6,
1,7,-1,4,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,3,3,1,4,-1,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,-1,3,1,4,-2,5,1]]],[[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[4,-2,6,-2,5,1,6,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[5,1,4,-1,6,-1,5,1,6,1,4,
-2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,
4,1],[3,1,5,-1,4,1,3,1,4,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,
-2],[5,1,3,1,4,-2,3,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,1,
3,2,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]]],[[[2,1,1,
1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-1,3,1,4,-1,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,
-2,3,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,
4,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[5,2,3,1,4,-1,5,2,
4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[5,1,6,1,4,-2,5,
1,4,1,6,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[6,
1,5,1,7,1,6,1,5,1,6,1,7,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,
1,5,1],[5,1,4,1,6,-1,5,1,4,-2,6,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,
1],[4,-2],[4,1,5,1],[6,1,5,1,6,1,5,1,7,2]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,1],[4,1,6,2,4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,1],[4,-2,6,2,4,1,6,2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,1],[4,1,6,1],[4,-2,6,-1,7,-2]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,
-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,-1,
3,1,4,1,5,2]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,2,4,
-2]]],[[[2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,
1,3,1,4,-1,3,1,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,1]]],[[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,
-1,3,-1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,1,4,4,3,1]]],[[[1,1,2,
1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[3,1,4,-1,5,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,1,
3,2,4,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,3,4,2]]],[[[2,1,1,1],[
3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,2,4,-1,6,1]],[[2,1,1,1],[3,
2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[7,1,6,1,4,1,6,1,7,1,6,2,4,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,2,3,1,4,2]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,
1,1,2,1,1,1,2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,
1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,2,3,1,4,2]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,1,3,1,5,-2]]],[[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,2,4,-1,6,1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,-1,4,-1,6,-2]]],[[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,2,4,1,6,2]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,-2,6,1,4,1,6,1]]],[[[2,1,1,1],[3,
2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-1,6,1,4,1,6,1]],[[2,1,1,1],[
3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,-2,4,1,6,2]]],[[[2,1,1,1],[
3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,-1,4,-2,6,2]],[[2,1,1,1],[3,
2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,2,4,1,6,2]]],[[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1,4,-4,3,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
1],[4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,
1,4,-1,6,-1]]],[[[2,1,1,1,2,-2,1,1,2,-2]],[[1,1,2,-2,1,1],[3,1,2,1],[4,1,3,1,
2,-1,3,1,2,-1,4,1]]],[[[1,-1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,
1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-1,3,1,4,-2,3,1,4,-1]]],[[[1,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[5,1,7,1],[6,1,8,-1,6,1,8,1,7,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1],[4,1,5,-1,3,1,4,2,5,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,-2,1,1],[1,
1,2,1,1,1,2,-1],[4,1,3,1,4,1,3,1,4,1,3,1,4,1,3,-1,4,-1,3,-1,4,-1],[5,-1,3,1,5,
2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,2,4,1,3,1,4,1]],[[2,-2],[1,1,
2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,-1,6,1,4,
-1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,1,4,-5,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[3,
1,4,-1,5,2,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,4,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[4,1,5,
1,4,-1,3,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]]],[[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,
4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,-1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,1,4,1,3,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,-1,2,-2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,1,4,-5,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,
1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[4,1,5,1,4,-1,3,1,5,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,-5,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,
1,4,1,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]],[[2,-2],[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[5,2,4,3,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,
4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1,3,1,4,2]]],[[[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[4,1,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-5,3,
1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1],[4,3,3,1,5,-2]]],[[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,1,3,1,4,1,3,1,4,2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,-1]],[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-4,3,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,1],[6,2,4,-1,6,2,4,-2]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,
1,2,-1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,1],[4,-2,6,-1,4,-1,6,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,1],[4,1,6,-1,4,-2,6,2]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,1,1,
1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,1,4,1]]],[[[2,-2],[1,1,2,1,1,
1,2,1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,2,3,1,4,-2,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,
1],[5,1,4,-1,6,-1,5,1,6,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,
5,1],[4,-2,5,1,4,1],[6,1,7,-1,6,1,7,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,3,3,1,4,-1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,3,3,
1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,-1,4,-2]],[[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[2,-2,3,1],[3,-1,4,2]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,1],[4,1,5,
2,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[4,-2,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2,3,
1,4,-2,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1,4,-2,3,1,4,
-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,1,1,1],[5,1,4,-2,5,-1]],[[1,1,
2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[6,1,7,3,4,-1,5,1,6,
1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,
1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,-2,4,-1,6,-1]]],[[[
1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,
2,1,1,1],[3,1,4,1],[3,1,4,-1,5,1,4,1,5,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,
1,1],[3,1,4,1],[3,1,5,-1,4,1,3,1,4,-1,5,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[4,1,3,1],[4,-2,5,-2,4,-1,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,
1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[4,4,3,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[4,1,3,1],[5,2,4,-1,3,1,4,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,2,3,2]],[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,1,3,2,4,1]]],[[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1,4,-1,6,1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,-2,6,-1,4,-1]]],[[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1,4,-1,6,1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,2,4,-1,6,-2]]],[[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1,4,-1,6,-1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,-1,6,2,4,-2]]],[[[2,1,1,1,2,-2,1,
1,2,-1]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,-1,4,2]]],[[[2,1,1,1,2,
-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-1],[5,2,3,1,4,1]],[[2,1,1,1,2,-2,1,1,2,
-1],[1,1,2,1,1,1],[4,-2],[5,1,3,1,4,-2,3,1,5,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[2,-2,3,4]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,3,1,2,-2,4,1]]],[[[
1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,2,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,
1,2,1,1,1],[4,2,3,1,4,3,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1,1,1],[2,1,
1,1,2,-2,1,1,2,-1,3,1],[3,1,4,4,3,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,
1],[3,1,4,1],[3,1,4,-1,5,2]],[[1,1,2,1,1,1],[2,1,1,1,2,-2,1,1,2,-1,3,1],[3,1,
4,4,3,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-1,3,1,4,1]],[[1,
1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,
4,3,3,1,4,2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,1,3,1,4,-1,3,1,4,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[3,
2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,-2,4,1]],[[2,1,1,1],[3,2,
2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2],[6,1,7,1],[7,1,8,2]]],[[[2,1,1,
1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,2,4,-1,6,1]],[[2,1,1,
1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-2,6,-1,4,-1,6,-2]],[[2,1,1,
1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,-1],[7,2,6,-1,4,
-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,
1,1,1,2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]],[[
2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,4,3,1,4,-1]]],[[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[3,2,2,-2],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,-1,6,2,4,-2]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,1],[4,-2,6,-1,4,1,6,2]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,
1,2,1,1,1,2,-1,5,1],[4,-1,6,2,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,1],[6,1,4,1,6,2,4,-1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,-1,4,-1,3,
-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-2]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,
1,1],[3,1,4,1],[5,1,4,1,3,1,5,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,
1],[4,1,5,1],[5,1,4,-1,6,-1,5,1,6,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[
1,1],[4,1,5,1],[5,1,6,1,4,-2],[7,1,6,-1,7,1]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,
2,1,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[3,-1,
4,2]]],[[[1,1,2,1,1,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[3,1,4,-2,3,
1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1,1,1],[3,1,2,1,1,1,2,-2,1,1,2,-1,3,
-2]]],[[[2,1,1,1,2,-2,1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,
1,1,1],[3,1,4,1],[4,1,3,1,5,-2,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[
4,-2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1,1,1,4,-1]]],[[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[5,1,4,1,5,1],[6,1,4,-2,6,-1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,1,5,1],[4,-2,5,1,6,1],[6,1,7,1,6,1,7,1]]],[[[
1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1],[4,1,1,1],[5,2,4,-2,5,-2]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1],[1,1],[4,-2],[4,1,5,1],[6,1,5,1,7,2,4,-1,5,1,6,
1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1,4,-1,6,
-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,2,4,-1,6,
-2]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,
1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,1,6,-1]]],[[[1,1,2,
1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]]],[[[1,1,2,1,
1,1,2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,1],[4,1,3,2,
4,1]]],[[[2,1,1,1,2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,1,3,1,4,-1,3,1]],[[2,1,1,1,
2,-2,1,1,2,-1],[1,1,2,1,1,1],[4,-2,3,1,4,-1,3,1,4,-2]]],[[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,-1,4,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,2,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1],[4,1,6,-1],[7,1,4,-2,7,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1,4,-1,6,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,2,4,1,6,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,1],[4,1,6,-3,4,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1],[4,-1,6,2,4,-1,6,-2]]],[[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[4,1,3,1,4,1,3,1]],[[2,-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[4,2,3,1,4,-1,3,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-5]]],[[[2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,
1,1,1],[3,2],[4,2,2,-2,3,1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2],[4,1,2,-2,3,
1,4,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,-2,1,1],[1,1,2,1,1,1,2,-1],[4,1,3,1,4,-1,3,
-1,4,1,3,1,4,-2,3,1,4,1],[5,-2,3,1,5,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1],[6,-3,4,-1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,
-1,5,1],[6,1,4,-2,6,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
1],[4,-1,6,2,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,
1,4,-1,6,2,4,-1]]],[[[2,-2,1,-1,2,-1,1,-1,2,-1,1,-1,2,-1,1,-1]],[[1,1,2,1,1,1,
2,1,1,1,2,1,1,1],[2,-2,3,1],[3,-1,4,2]]],[[[1,1,2,-2,1,1]],[[2,-2]],[[2,1,1,1,
2,-2,1,1,2,1]]],[[[1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-2]],[[1,1,2,
1],[2,-1,1,1,2,-1,3,-1,2,-2],[4,-1,1,1,4,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,1],[4,-2,6,2,4,-1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2]],[[1,1,
2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,-1,1,1]]],[[[1,1,2,1],[2,-1,1,1,2,-1,3,
-1,2,-2],[4,2]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,-2],[1,1,4,1]]],[[[2,-2,1,-1,
2,-1,1,-1,2,-1,1,-1,2,-1,1,-1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,
1]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[2,-2,3,4]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,
1,1,1,2,-1,5,1],[6,1,4,1,6,-1,4,-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,
1,1,2,-1,5,1],[6,1,4,-1,6,-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,2]],[[2,
-2],[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,1],[4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,
1,4,1,6,-1,4,1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,
-1,6,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-1,6,
1]]],[[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,1,6,
-1]],[[2,1,1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1,4,
1]]],[[[1,1,2,-2,1,1]],[[2,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1,1,1],[3,
1,2,1,1,1,2,-2,1,1,2,-1,3,1]]],[[[1,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,-1,2,
-2]]],[[[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,
2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1],[4,-2]],[[2,1,1,1],[3,2,2,-2],[1,1,2,
1],[5,1,2,1,1,1,2,-1,5,1],[4,-1,6,1]]],[[[2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,
1],[3,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-2,3,1]]],[[[1,-1,2,-1,1,-1,
2,-1,1,-1,2,-1,1,-1]],[[2,-2],[3,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,3,1]]],[[[2,1,
1,1],[3,2,2,-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[4,1,6,1]],[[2,1,1,1],[3,2,2,
-2],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,1],[6,1,4,-1,6,1]]],[[[1,1,2,-2,1,1],[1,1,2,
1,1,1,2,-1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[1,1,2,-2,1,1],[1,1,2,1,1,1,2,
-1],[3,1,4,1],[4,1,3,1],[4,1,6,2,4,1,5,2]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,
2,1,1,1]]],[[[2,-2]],[[1,1,2,1,1,1,2,1,1,1,2,1,1,1]]],[[[2,1,1,1],[3,2,2,
-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1],[4,-2]]],[[[2,1,1,1],[3,2,2,-2]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,2,-1,3,1],[1,1],[5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,-1,3,1]],[[1,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[1,1]],[[2,
1]]]]);
ACLT( "M22.2",
"sortperm",( 8, 9, 11, 12, 14, 16, 15, 10, 17)( 20, 23, 24)( 26, 37, 62, 56,
61, 49, 42, 35, 51, 53, 48, 64, 31, 59, 54, 41, 29, 44, 45, 67, 65, 30, 52,
66, 60, 55, 40, 46, 39, 32, 38, 34, 50, 63, 36, 58, 43, 28)( 69, 70)
( 73, 80, 77, 74, 75, 76)( 79, 85)( 81, 84)( 88, 89)( 90,134,113,139,148,125,
93,121,106, 94,161,103,157,111,115,132, 97,149,124,127, 92,120,116,118,150,
112,145,110,105,155,130,102,158,128, 96,123,119,117,126,100)( 91,151,154,129,
95,143,140,146,141,122,136,108,135,152,142, 99)( 98,147,144,107,109,133,153,
101,160,114,138,159,104,156,131)(164,166,165)(169,193,188,185,182,177,176,
172,191,174,195,184,190,175,178,170,194,187,189,186,181,173,180)(171,179)
(183,192)(196,222,199,249,238,262,259,234,204,221,266,235,206,208,225,268,236,
216)(197,202,247,203,219,244,254,264,241,250,233,205,211,223,198,209,218,243,
230,260,200,251,232,226,265,242,217)(201,248,257)(207,245,215)
(210,258,212,240,263,229,228,231,224,252,246,253,227,256,267,255)
(213,220,269,237,214,239)(270,271)(276,277)(278,282)(279,290,289,293,285,300,
296,284,299,283,280,292,295,281)(286,291,294,301,287,288)(297,298)
(304,306,307,305)(308,352,325,337,346,320,321,326,338,309,351,334,340,332,313,
310)(311,344,348,343,333,341,331,312)(314,323,350,335,336,316,317,342,345,
327,329,318,324,339,328,330,319,322,349,347)(353,357,356,354,355)(359,360)
(361,363,384,379,376,374,369,375,381,382,377,370,378,364,368,383,380,365,366,
362,371,373,372,367)(387,388,389)(390,397,395,396,394,393,401)(391,400)
(392,402,404,399,398)(406,407)(408,409)(410,411)(412,415)(416,428,420)
(417,419,426,421,427,432,424,433,425,422)(418,429,430,431,423)(436,437)
(439,440)(442,443)(445,447)(449,457,451,450)(452,454,456)(460,461)
(464,466,467)(470,471)(477,479)(480,481));
ACLT( "M22.2",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-1,2,-2],[5,5]],[[1,
1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],,,,,,,,,,,,[[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,
1],[4,3]],[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,3,-1]]],,[[[1,1,2,1],[2,1,1,1,3,2,2,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]]]]);
LIBTOM( "M23",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,7],[1,2,3,8],[1,2,3,9],[1,10],[1,
2,4,11],[1,2,5,12],[1,2,4,5,13],[1,2,6,14],[1,2,6,15],[1,2,4,6,16],[1,2,5,6,
17],[1,2,5,6,18],[1,2,4,5,6,19],[1,2,6,20],[1,3,21],[1,2,7,22],[1,23],[1,2,3,
4,24],[1,2,3,4,25],[1,2,3,4,26],[1,2,3,5,27],[1,2,3,4,9,28],[1,2,3,6,9,29],[1,
2,3,5,8,9,30],[1,2,10,31],[1,3,7,32],[1,2,4,11,33],[1,2,4,5,13,34],[1,2,4,6,
16,35],[1,2,4,6,15,16,36],[1,2,4,5,6,13,16,37],[1,2,4,6,11,16,38],[1,2,4,5,6,
13,17,39],[1,2,4,5,6,11,13,16,19,40],[1,2,4,5,6,12,13,17,18,19,41],[1,2,4,6,
16,20,42],[1,2,4,5,6,14,16,17,18,19,43],[1,2,5,6,15,18,20,44],[1,2,6,14,15,20,
45],[1,2,3,8,21,46],[1,2,3,8,9,21,47],[1,2,6,7,22,48],[1,3,10,49],[1,50],[1,2,
3,4,5,9,13,24,51],[1,2,3,4,9,11,25,52],[1,2,3,5,9,12,27,53],[1,2,3,6,9,15,
54],[1,2,3,6,9,14,55],[1,2,3,5,6,8,18,27,56],[1,2,3,4,5,6,8,19,27,57],[1,2,3,
4,5,6,8,19,24,58],[1,2,3,4,5,6,8,19,25,59],[1,2,3,4,5,6,8,19,26,60],[1,2,3,4,
5,6,8,9,19,28,29,30,61],[1,2,3,7,9,22,32,62],[1,2,4,5,6,11,13,16,19,34,37,40,
63],[1,2,4,5,6,11,13,16,19,33,38,40,64],[1,2,4,5,6,12,13,17,18,19,34,39,41,
65],[1,2,4,5,6,11,12,13,14,16,17,18,19,40,41,43,66],[1,2,4,5,6,11,13,15,16,19,
35,36,37,38,40,67],[1,2,4,5,6,11,13,16,19,38,40,68],[1,2,4,5,6,11,13,16,17,19,
39,40,69],[1,2,4,5,6,12,13,16,17,18,19,37,39,41,70],[1,2,4,5,6,11,13,16,19,20,
40,42,71],[1,2,4,5,6,14,16,17,18,19,20,35,42,43,72],[1,2,4,5,6,14,15,16,17,18,
19,20,36,42,43,44,45,73],[1,2,3,6,8,21,46,74],[1,2,3,6,8,21,46,75],[1,2,3,4,9,
21,24,25,26,28,76],[1,2,3,5,8,9,21,30,46,47,77],[1,2,3,9,10,31,49,78],[1,2,3,
4,5,13,25,34,79],[1,2,3,4,11,24,26,33,80],[1,2,3,4,5,13,26,27,34,81],[1,2,3,4,
5,9,13,24,28,34,51,82],[1,2,3,4,9,11,25,28,33,52,83],[1,2,3,6,9,14,15,20,29,
45,54,84],[1,2,3,6,9,14,15,20,29,45,55,85],[1,2,3,4,5,6,8,9,12,13,17,18,19,24,
30,41,51,58,86],[1,2,3,4,5,6,8,9,11,13,16,19,25,30,40,52,59,87],[1,2,3,4,5,6,
8,9,12,13,17,18,19,27,30,41,53,56,57,88],[1,2,3,4,6,16,26,35,89],[1,2,3,4,6,9,
15,16,28,36,54,90],[1,2,3,4,6,9,11,16,25,29,38,52,91],[1,2,3,4,5,6,9,13,17,24,
29,39,51,92],[1,2,3,5,6,8,9,15,18,20,30,44,54,93],[1,7,23,94],[1,2,4,10,11,
95],[1,2,5,10,12,96],[1,2,3,4,7,8,22,24,97],[1,2,3,5,7,8,22,27,98],[1,2,3,4,7,
8,22,26,99],[1,2,3,5,7,8,22,27,100],[1,2,3,6,7,9,22,29,32,48,62,101],[1,2,4,5,
6,11,13,15,16,19,33,34,35,36,37,38,40,63,64,67,102],[1,2,4,5,6,11,12,13,14,16,
17,18,19,33,38,40,41,43,64,66,68,103],[1,2,4,5,6,11,12,13,14,16,17,18,19,34,
37,39,40,41,43,63,65,66,69,70,104],[1,2,4,5,6,11,13,15,16,17,19,35,36,37,38,
39,40,67,68,69,105],[1,2,4,5,6,11,12,13,14,15,16,17,18,19,20,35,36,37,38,40,
41,42,43,44,45,66,67,71,72,73,106],[1,2,4,5,6,11,13,16,17,19,20,33,38,39,40,
42,64,69,71,107],[1,2,4,5,6,11,13,16,19,20,34,37,38,40,42,63,68,71,108],[1,2,
3,6,8,15,21,46,74,75,109],[1,2,3,6,8,20,21,46,74,110],[1,2,3,5,6,8,9,18,21,30,
46,47,74,77,111],[1,2,3,4,5,6,8,9,19,21,24,25,26,28,29,30,46,58,59,60,61,76,
112],[1,2,4,5,7,13,34,113],[1,2,4,7,11,33,114],[1,2,3,4,5,6,8,11,13,16,19,26,
27,34,37,40,57,63,81,115],[1,2,3,4,5,6,8,12,13,17,18,19,25,34,39,41,59,65,79,
116],[1,2,3,4,5,6,8,11,13,16,19,24,26,33,38,40,58,60,64,80,117],[1,2,3,4,5,6,
8,12,13,17,18,19,26,27,34,39,41,56,60,65,81,118],[1,2,3,4,5,6,9,11,13,16,19,
25,34,37,40,52,63,79,119],[1,2,3,4,5,6,9,11,13,16,19,24,26,33,38,40,51,64,80,
120],[1,2,3,4,5,6,9,12,13,17,18,19,26,27,34,39,41,53,65,81,121],[1,2,3,4,5,6,
9,11,12,13,14,16,17,18,19,25,27,40,41,43,52,53,55,66,122],[1,2,3,4,5,6,8,9,12,
13,17,18,19,24,28,29,30,34,39,41,51,58,61,65,82,86,92,123],[1,2,3,4,5,6,8,9,
11,13,16,19,25,28,29,30,33,38,40,52,59,61,64,83,87,91,124],[1,2,3,4,5,6,8,14,
16,17,18,19,20,26,35,42,43,60,72,89,125],[1,2,3,4,5,6,8,9,14,15,16,17,18,19,
20,28,29,30,36,42,43,44,45,54,61,73,84,90,93,126],[1,2,4,10,11,31,33,95,127],[
1,2,3,4,5,6,7,8,9,19,22,26,30,48,60,99,128],[1,2,3,5,6,7,8,9,18,22,27,30,48,
56,98,129],[1,2,3,4,5,6,7,8,9,19,22,24,30,48,58,97,130],[1,2,4,5,6,11,12,13,
14,15,16,17,18,19,20,33,34,35,36,37,38,39,40,41,42,43,44,45,63,64,65,66,67,68,
69,70,71,72,73,102,103,104,105,106,107,108,131],[1,2,3,4,5,9,13,21,24,25,26,
27,28,34,51,76,79,81,82,132],[1,2,3,4,9,11,21,24,25,26,28,33,52,76,80,83,
133],[1,2,3,5,6,8,9,15,18,20,21,30,44,46,47,74,75,77,109,110,111,134],[1,2,4,
5,6,7,11,13,16,19,22,34,37,40,63,113,135],[1,2,4,5,6,7,11,13,16,19,22,33,38,
40,64,114,136],[1,2,3,4,5,6,8,10,19,24,27,49,57,58,137],[1,2,3,4,5,6,8,10,19,
26,27,49,57,60,138],[1,2,3,4,5,6,8,10,19,25,27,49,57,59,139],[1,2,3,4,9,10,11,
25,49,52,95,140],[1,2,3,5,9,10,12,27,49,53,96,141],[1,2,3,4,7,8,9,21,22,24,25,
26,28,32,47,62,76,97,142],[1,2,3,4,5,6,9,11,13,15,16,19,24,26,28,33,34,35,36,
37,38,40,51,63,64,67,80,82,102,120,143],[1,2,3,4,5,6,9,11,13,15,16,19,25,28,
33,34,35,36,37,38,40,52,63,64,67,79,83,102,119,144],[1,2,3,4,5,6,11,13,15,16,
19,24,26,27,33,34,35,36,37,38,40,63,64,67,80,81,89,102,145],[1,2,3,4,5,6,9,11,
13,15,16,19,24,25,28,33,34,35,36,37,38,40,51,52,54,63,64,67,82,83,90,102,
146],[1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,24,26,30,33,38,40,41,43,51,58,
60,64,66,68,80,86,103,117,120,147],[1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,
25,30,34,37,39,40,41,43,52,59,63,65,66,69,70,79,87,104,116,119,148],[1,2,3,4,
5,6,8,9,11,12,13,14,16,17,18,19,26,27,30,34,37,39,40,41,43,53,56,57,60,63,65,
66,69,70,81,88,104,115,118,121,149],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,19,
20,25,27,29,35,36,37,38,40,41,42,43,44,45,52,53,55,66,67,71,72,73,85,91,106,
122,150],[1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,25,27,30,34,37,39,40,41,43,
52,53,55,56,57,59,63,65,66,69,70,87,88,104,122,151],[1,2,3,4,5,6,9,11,12,13,
14,16,17,18,19,25,27,28,33,38,40,41,43,52,53,55,64,66,68,83,103,122,152],[1,2,
3,4,5,6,9,11,13,16,17,19,20,24,26,29,33,38,39,40,42,51,64,69,71,80,92,107,120,
153],[1,2,3,4,5,6,9,11,13,16,19,20,25,29,34,37,38,40,42,52,63,68,71,79,91,108,
119,154],[1,2,3,4,5,7,13,25,32,34,79,113,155],[1,23,50,156],[1,2,3,4,5,6,8,9,
12,13,17,18,19,21,24,25,26,27,28,29,30,34,39,41,46,51,56,58,59,60,61,65,76,79,
81,82,86,92,112,116,118,123,132,157],[1,2,3,4,5,6,8,9,11,13,16,19,21,24,25,26,
28,29,30,33,38,40,46,52,58,59,60,61,64,76,80,83,87,91,112,117,124,133,158],[1,
2,3,4,5,6,8,9,12,13,17,18,19,21,24,25,26,27,28,34,39,41,47,51,53,59,65,76,79,
81,82,116,121,132,159],[1,2,3,4,5,6,8,9,11,13,16,19,21,24,25,26,27,28,34,37,
40,47,51,52,57,63,76,79,81,82,115,119,132,160],[1,2,4,5,6,7,11,13,16,19,20,22,
34,37,38,40,42,48,63,68,71,108,113,135,161],[1,2,4,5,6,7,11,13,16,17,19,20,22,
33,38,39,40,42,48,64,69,71,107,114,136,162],[1,2,3,4,5,6,8,9,10,12,13,17,18,
19,24,27,30,31,41,49,51,53,56,57,58,78,86,88,137,163],[1,2,3,4,9,10,11,25,28,
31,33,49,52,78,83,95,127,140,164],[1,2,3,6,9,10,14,15,20,29,31,45,49,54,55,78,
84,85,165],[1,2,3,4,5,6,7,8,19,21,22,24,27,46,57,58,74,97,98,166],[1,2,3,5,6,
7,8,18,21,22,27,46,56,75,100,167],[1,2,3,4,5,6,7,8,19,21,22,26,27,46,57,60,75,
99,100,168],[1,2,3,4,5,6,7,8,9,19,21,22,24,25,26,28,29,30,32,46,47,48,58,59,
60,61,62,76,77,97,101,112,130,142,169],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,
18,19,20,25,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,52,59,61,63,64,65,
66,67,68,69,70,71,72,73,79,83,87,91,102,103,104,105,106,107,108,116,119,124,
131,144,148,154,170],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,24,26,28,
29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,51,58,60,61,63,64,65,66,67,68,69,
70,71,72,73,80,82,86,92,102,103,104,105,106,107,108,117,120,123,131,143,147,
153,171],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,24,25,28,29,30,33,34,
35,36,37,38,39,40,41,42,43,44,45,51,52,54,58,59,61,63,64,65,66,67,68,69,70,71,
72,73,82,83,84,86,87,90,91,92,93,102,103,104,105,106,107,108,123,124,126,131,
146,172],[1,2,3,4,5,6,8,11,12,13,14,15,16,17,18,19,20,24,26,27,33,34,35,36,37,
38,39,40,41,42,43,44,45,56,58,60,63,64,65,66,67,68,69,70,71,72,73,80,81,89,
102,103,104,105,106,107,108,117,118,125,131,145,173],[1,2,3,4,5,6,8,9,11,12,
13,14,15,16,17,18,19,20,25,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,
52,53,55,56,57,59,61,63,64,65,66,67,68,69,70,71,72,73,83,85,87,88,91,102,103,
104,105,106,107,108,122,124,131,150,151,152,174],[1,2,3,4,5,6,7,9,11,13,16,19,
22,25,32,34,37,40,52,62,63,79,113,119,135,155,175],[1,2,3,4,5,6,9,11,13,15,16,
19,21,24,25,26,27,28,33,34,35,36,37,38,40,51,52,54,63,64,67,76,79,80,81,82,83,
89,90,102,119,120,132,133,143,144,145,146,176],[1,2,3,4,5,6,8,9,11,12,13,14,
16,17,18,19,21,24,25,26,27,28,29,30,34,37,39,40,41,43,46,47,51,52,53,56,57,58,
59,60,61,63,65,66,69,70,76,77,79,81,82,86,87,88,92,104,112,115,116,118,119,
121,123,132,148,149,157,159,160,177],[1,2,3,4,5,6,8,9,11,13,16,17,19,20,21,24,
25,26,28,29,30,33,38,39,40,42,46,52,58,59,60,61,64,69,71,75,76,80,83,87,91,
107,112,117,124,133,158,178],[1,2,3,5,7,8,9,22,23,27,30,94,98,100,179],[1,2,3,
4,5,6,7,8,9,12,13,17,18,19,21,22,24,27,30,41,46,47,48,51,53,56,57,58,74,77,86,
88,97,98,111,129,130,166,180],[1,2,3,5,6,7,8,15,18,20,21,22,27,44,46,48,56,74,
75,100,109,167,181],[1,2,3,4,5,6,7,8,11,13,15,16,19,22,24,26,27,33,34,35,36,
37,38,40,57,63,64,67,80,81,89,97,99,102,113,115,135,145,182],[1,2,3,4,5,6,7,8,
11,13,15,16,19,22,24,26,27,33,34,35,36,37,38,40,58,60,63,64,67,80,81,89,98,99,
100,102,114,117,136,145,183],[1,2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,22,25,
27,28,29,30,33,38,40,41,43,52,53,55,59,61,64,66,68,83,87,91,100,103,114,122,
124,136,152,184],[1,2,3,4,5,6,7,9,11,13,16,19,20,22,25,29,32,34,37,38,40,42,
48,52,62,63,68,71,79,91,101,108,113,119,135,154,155,161,175,185],[1,2,3,4,5,6,
8,9,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,51,52,54,56,58,59,60,61,63,64,65,66,67,68,69,70,71,72,
73,76,79,80,81,82,83,84,86,87,89,90,91,92,93,102,103,104,105,106,107,108,112,
116,117,118,119,120,123,124,125,126,131,132,133,143,144,145,146,147,148,153,
154,157,158,170,171,172,173,176,186],[1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,
19,25,27,30,34,37,39,40,41,43,49,52,53,55,56,57,59,63,65,66,69,70,79,87,88,95,
104,116,119,122,139,140,148,151,187],[1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,
19,25,26,27,30,34,37,39,40,41,43,49,52,53,55,56,57,59,60,63,65,66,69,70,81,87,
88,96,104,115,118,121,122,138,139,141,149,151,188],[1,2,3,4,5,6,7,8,9,11,12,
13,14,15,16,17,18,19,20,22,24,26,27,30,33,34,35,36,37,38,39,40,41,42,43,44,45,
48,53,56,57,58,60,63,64,65,66,67,68,69,70,71,72,73,80,81,88,89,97,99,102,103,
104,105,106,107,108,113,115,117,118,121,125,128,130,131,135,145,149,161,173,
182,189],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,26,27,30,33,
34,35,36,37,38,39,40,41,42,43,44,45,48,51,56,58,60,63,64,65,66,67,68,69,70,71,
72,73,80,81,86,89,98,99,100,102,103,104,105,106,107,108,114,117,118,120,125,
128,129,131,136,145,147,162,173,183,190],[1,2,3,4,5,6,7,8,9,10,19,21,22,24,25,
26,27,28,29,30,46,48,49,57,58,59,60,61,75,76,99,100,112,128,137,139,168,191],[
1,2,3,4,5,6,7,8,9,10,19,21,22,24,25,26,27,28,29,30,46,48,49,57,58,59,60,61,74,
76,97,98,112,130,138,139,166,192],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,
19,20,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,49,51,52,53,
54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,78,82,83,84,85,86,87,88,
90,91,92,93,95,102,103,104,105,106,107,108,122,123,124,126,127,131,137,140,
146,150,151,152,163,164,165,172,174,193],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,
16,17,18,19,20,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,49,52,
53,55,56,57,59,61,63,64,65,66,67,68,69,70,71,72,73,78,79,83,85,87,88,91,95,
102,103,104,105,106,107,108,116,119,122,124,127,131,139,140,144,148,150,151,
152,154,164,170,174,187,194],[1,2,3,4,5,6,7,8,9,11,13,15,16,19,21,22,24,25,26,
27,28,32,33,34,35,36,37,38,40,47,51,52,54,57,62,63,64,67,76,79,80,81,82,83,89,
90,97,99,102,113,115,119,120,132,133,135,142,143,144,145,146,155,160,175,176,
182,195],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,
28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,76,77,79,80,81,82,83,84,86,87,
88,89,90,91,92,93,97,99,101,102,103,104,105,106,107,108,112,113,115,116,117,
118,119,120,121,123,124,125,126,128,130,131,132,133,135,142,143,144,145,146,
147,148,149,153,154,155,157,158,159,160,161,169,170,171,172,173,175,176,177,
182,185,186,189,195,196],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,
22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,52,53,55,56,
57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,75,76,80,81,83,85,87,88,89,91,
98,99,100,102,103,104,105,106,107,108,112,114,117,118,122,124,125,131,133,136,
145,150,151,152,158,167,168,173,174,178,183,184,197],[1,2,3,5,6,7,8,9,15,18,
20,21,22,23,27,30,44,46,47,48,54,56,74,75,77,93,94,98,100,109,110,111,129,134,
167,179,181,198],[1,2,3,4,5,6,7,8,10,11,13,15,16,19,21,22,24,26,27,33,34,35,
36,37,38,40,46,49,57,58,60,63,64,67,74,75,80,81,89,97,98,99,100,102,109,113,
114,115,117,135,136,137,138,145,166,168,182,183,199],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,16,17,18,19,21,22,24,25,26,27,28,29,30,32,34,37,39,40,41,43,46,47,48,
49,51,52,53,55,56,57,58,59,60,61,62,63,65,66,69,70,74,76,77,79,81,82,86,87,88,
92,95,96,97,98,101,104,111,112,115,116,118,119,121,122,123,129,130,132,138,
139,140,141,142,148,149,151,157,159,160,166,169,177,180,187,188,192,200],[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,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,
61,63,64,65,66,67,68,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,95,98,99,100,102,103,104,105,106,107,108,112,114,116,117,118,119,
120,122,123,124,125,126,127,128,129,131,132,133,136,137,139,140,143,144,145,
146,147,148,150,151,152,153,154,157,158,162,163,164,165,167,168,170,171,172,
173,174,176,178,183,184,186,187,190,191,193,194,197,201],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,30,31,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,51,53,56,57,58,60,63,64,65,66,67,68,69,70,71,72,73,
74,75,77,78,80,81,86,88,89,97,98,99,100,102,103,104,105,106,107,108,109,110,
111,113,114,115,117,118,120,121,125,128,129,130,131,134,135,136,137,138,145,
147,149,161,162,163,166,168,173,180,182,183,189,190,199,202],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,48,49,52,53,55,56,57,58,59,60,61,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,80,81,83,85,87,88,89,91,94,96,97,98,99,100,102,103,
104,105,106,107,108,109,112,113,114,115,117,118,121,122,124,125,128,130,131,
133,135,136,137,138,139,141,145,149,150,151,152,158,161,166,167,168,173,174,
178,179,181,182,183,184,188,189,191,192,197,199,203],[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]],
0,[[1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[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],[1,1,3,1],[1,1,3,1],[1,3,1,2,1],[1,3,1,2,1],[1,5,
2,1,1],[1,5,1,1,1,1],[1,1,1,1],[1,4,1],[1,5,1,1],[1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,1,3,1,1],[1,7,1,3,2,1,1],[1,1,1,
1],[1,1,1,1],[1,15,35,15,1],[1,15,5,30,15,1],[1,3,1,6,3,1],[1,3,1,6,4,3,1],[1,
7,1,6,4,1,2,1],[1,7,7,4,1,2,1],[1,7,1,6,4,1,2,1],[1,11,7,6,2,1,1,1,4,1],[1,11,
1,12,2,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,7,1,2,4,1,1,2,1,2,1],[1,5,2,3,1,1,1,
1],[1,1,5,1,1,1,1],[1,9,4,12,1,1],[1,3,4,1,3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,
1],[1,7,4,1,6,4,1,1,1],[1,7,4,7,4,1,1,1],[1,7,4,7,4,1,1,1],[1,1,4,3,4,1,1],[1,
1,4,3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[
1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,5,1,
1,5,1,1,1],[1,19,11,30,6,1,15,3,12,1,3,3,1],[1,19,35,6,6,15,1,3,12,1,3,3,1],[
1,19,5,36,6,1,15,3,6,6,1,3,3,1],[1,19,7,26,6,1,2,3,2,3,6,6,12,3,6,6,1],[1,11,
7,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,11,7,6,10,1,1,5,4,2,1,1],[1,11,7,6,10,1,1,1,
4,4,2,1,1],[1,11,1,12,10,1,1,2,3,2,2,1,1,1,1],[1,11,7,6,2,1,1,1,4,4,1,2,1],[1,
7,1,2,8,1,3,2,1,2,2,1,1,1,1],[1,7,1,2,8,1,4,3,2,1,2,2,1,1,1,2,2,1],[1,9,4,9,
12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,13,1,3,4,1,1,1,1,1],[1,15,4,9,14,6,1,6,1,2,
1],[1,1,7,7,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,15,16,35,15,4,16,1,1],[1,15,
16,5,30,15,8,12,1,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,15,4,35,12,15,1,4,1,3,
1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,19,4,1,24,6,8,4,3,1,
3,6,6,1,4,3,1,2,1],[1,19,4,7,18,6,8,4,1,3,3,12,1,4,3,1,2,1],[1,19,4,3,22,6,8,
4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,16,1,6,3,4,1,1],[1,3,4,1,6,12,4,3,4,1,1,1],[1,
7,4,7,12,4,1,6,1,4,3,1,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,13,4,6,3,8,4,1,3,
3,4,3,1,1],[1,11,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,
15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,
5,1,5,1,3,1,1],[1,27,39,30,18,15,15,12,9,36,1,1,3,3,9,9,9,3,3,9,1],[1,27,35,
26,18,15,2,3,2,9,6,6,36,1,9,9,6,6,3,1,3,1],[1,27,11,50,18,1,2,17,2,5,10,14,28,
1,3,6,5,10,6,1,2,1,1,2,1],[1,11,7,6,26,1,1,4,9,4,4,1,1,2,4,2,1,1,1,1,1],[1,19,
7,26,14,1,2,3,2,4,7,6,6,12,4,1,1,2,2,3,6,2,6,4,4,1,1,1,2,2,1],[1,19,35,6,14,
15,1,3,4,12,4,1,3,2,3,2,1,1,1,1],[1,19,11,30,14,1,15,7,12,4,1,3,2,3,2,1,1,1,
1],[1,9,4,27,12,9,1,1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,21,4,18,9,16,12,9,1,12,
1,4,1,2,1],[1,21,13,1,9,9,42,3,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,15,5,30,16,
15,1,1],[1,15,35,16,15,1,1],[1,27,16,23,30,18,16,3,15,9,36,8,12,1,9,9,12,3,1,
1],[1,27,16,5,48,18,16,3,15,9,18,18,20,1,9,9,12,3,1,1],[1,27,16,35,18,18,16,
15,3,9,36,4,16,1,9,9,4,8,3,1,1],[1,27,16,5,48,18,16,3,15,9,18,18,8,12,1,9,9,4,
8,3,1,1],[1,19,16,11,30,6,16,1,15,3,12,20,1,3,3,4,1,1,1],[1,19,16,35,6,6,16,
15,1,3,12,4,16,1,3,3,4,1,1,1],[1,19,16,5,36,6,16,1,15,3,6,6,8,12,1,3,3,4,1,1,
1],[1,19,16,7,26,6,16,1,2,3,2,3,6,6,12,4,8,3,6,6,4,8,8,1,1],[1,27,4,5,48,18,8,
12,3,15,9,18,18,1,4,4,4,1,9,9,3,2,4,3,1,1,1,1],[1,27,4,35,18,18,8,12,15,3,9,
36,1,4,4,4,1,9,9,3,2,4,3,1,1,1,1],[1,15,16,1,6,12,16,3,3,6,3,6,6,4,1,3,3,4,3,
1,1],[1,15,4,1,6,12,8,12,3,4,3,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,15,
35,8,15,8,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,20,15,6,
20,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,35,39,
50,38,15,2,17,2,12,15,10,14,68,4,1,1,3,3,9,15,6,15,10,2,6,4,4,3,5,2,1,9,3,1,2,
1,2,2,1,1,1,1,1,1,1,1],[1,15,40,5,30,24,15,16,2,20,8,12,8,1,6,8,1,1,2,1],[1,
15,40,35,24,15,16,8,2,32,8,1,6,8,2,2,1],[1,21,4,18,27,16,12,9,9,9,1,12,9,1,4,
1,2,2,1,1,1,1],[1,35,35,30,30,16,5,15,15,60,16,1,15,15,5,1,1],[1,35,35,30,30,
16,15,5,15,60,16,1,15,15,5,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,
7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,28,
8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,15,31,5,6,10,15,10,6,5,5,5,5,6,
10,6,5,1,1],[1,27,16,39,30,18,48,15,15,12,9,36,4,16,16,1,1,3,3,9,9,9,12,3,3,9,
1,4,1,3,1],[1,27,16,39,30,18,48,15,15,12,9,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,
4,1,3,1],[1,27,64,39,30,18,15,15,12,9,36,16,80,48,1,1,3,3,9,9,9,3,3,9,4,4,12,
1,1],[1,27,16,39,30,18,48,15,15,12,9,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,
4,12,1,1],[1,43,16,35,66,42,32,16,15,6,7,6,21,18,18,84,4,16,16,1,21,21,18,18,
4,8,16,7,3,9,1,4,3,2,1,1],[1,43,16,11,90,42,32,16,1,6,21,6,9,30,42,60,20,16,1,
3,18,9,30,18,4,24,1,6,3,3,6,1,4,3,2,1,1],[1,43,16,23,78,42,32,16,3,4,21,6,15,
24,30,72,8,12,16,1,9,12,15,24,18,4,4,12,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,19,16,7,
26,30,16,1,2,3,2,12,15,6,6,12,12,4,8,16,3,3,6,6,3,6,6,6,12,12,4,8,8,1,3,3,6,6,
8,4,3,1,1],[1,43,16,19,98,42,32,16,1,2,45,2,9,18,30,60,4,8,16,3,9,18,9,18,6,4,
8,8,8,8,8,3,6,1,3,6,4,8,3,1,1],[1,27,16,35,26,18,48,15,2,3,2,9,6,6,36,4,8,16,
1,9,9,6,6,12,8,8,3,1,3,4,1,1,1],[1,19,16,35,6,30,16,15,1,3,12,12,12,4,16,16,1,
3,6,3,6,4,1,3,3,1,4,3,1,1],[1,19,16,11,30,30,16,1,15,15,12,12,20,16,1,3,6,3,6,
4,1,3,3,1,4,3,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[1,23,1,1],[1,51,40,5,
84,54,144,24,9,15,27,54,54,16,2,20,8,12,8,24,24,1,27,27,16,6,12,12,36,24,24,9,
8,1,1,2,6,6,8,3,3,6,1,1],[1,51,40,35,54,54,144,24,15,9,27,108,16,8,2,32,8,24,
24,1,27,27,16,6,24,12,48,24,9,8,2,2,6,6,8,6,6,1,1],[1,27,40,5,48,18,16,72,3,
15,9,18,18,16,2,20,8,12,8,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,27,40,23,30,
18,16,72,3,15,9,36,16,2,20,8,12,8,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,35,
35,30,70,16,5,15,35,60,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,35,35,30,70,
16,15,5,15,20,60,20,16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,43,28,7,70,42,56,28,
8,7,7,21,42,42,7,7,28,8,21,8,7,7,7,7,14,8,7,7,1,1],[1,15,28,35,84,8,15,7,28,8,
1,8,21,8,7,1,1,1,1],[1,1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,45,40,15,
15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,30,45,36,120,45,10,36,
30,10,30,10,12,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[
1,45,31,5,45,45,6,110,45,45,10,6,5,5,5,5,15,45,6,10,20,18,15,15,15,15,6,5,10,
1,6,5,3,1,1],[1,51,16,39,90,78,32,48,15,6,21,6,12,27,30,42,132,12,20,16,16,16,
1,1,3,3,9,27,18,27,30,6,18,12,12,12,24,16,3,9,6,3,9,9,3,6,3,6,6,1,4,4,4,1,3,3,
3,3,3,3,2,3,4,3,1,1,1,1],[1,51,16,39,90,78,32,48,15,6,21,6,12,27,30,42,132,12,
4,16,16,16,16,1,1,3,3,9,27,18,27,30,6,18,12,12,12,8,16,16,3,9,6,3,9,9,3,6,3,6,
6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,51,16,39,90,78,32,48,15,6,21,6,12,
27,30,42,132,12,4,4,16,16,16,1,1,3,3,9,27,18,27,30,6,18,12,12,12,12,12,8,8,16,
3,9,6,3,9,9,3,6,3,6,6,4,4,4,4,4,12,4,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,51,64,
39,90,78,64,15,6,21,6,12,27,30,42,132,12,16,80,48,1,1,3,3,9,27,18,27,30,6,18,
12,12,16,16,48,3,9,6,3,9,9,3,6,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,51,
16,47,98,78,32,48,15,2,45,2,36,27,18,30,132,12,4,8,16,16,16,1,3,9,9,27,27,18,
27,18,6,6,12,12,12,8,8,8,8,8,16,9,9,6,1,27,3,3,6,3,6,6,4,8,4,8,4,3,1,3,3,3,3,
3,1,4,3,1,1,1,1],[1,35,16,35,30,30,16,80,5,15,15,60,16,20,16,1,15,15,20,16,5,
1,1,5,1,1,1],[1,27,112,39,30,18,144,15,15,12,9,36,64,24,24,96,48,48,1,1,3,3,9,
9,9,24,24,12,3,3,9,48,1,5,4,8,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,75,40,23,174,90,
176,120,3,12,33,18,27,72,90,144,16,2,20,8,12,8,24,120,1,9,36,27,72,54,16,32,6,
12,12,12,12,12,48,24,24,3,12,9,9,18,8,16,1,1,2,6,12,12,6,9,8,1,4,3,3,3,6,1,3,
3,1,1,1,1],[1,51,40,35,54,126,144,24,15,9,27,36,108,36,16,8,2,32,8,24,24,1,27,
18,27,18,16,6,24,12,48,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,55,55,55,66,
110,55,66,12,55,55,12,11,11,1],[1,75,40,15,150,90,36,160,120,15,15,45,90,90,
10,36,15,15,120,45,10,40,36,15,15,15,15,30,10,20,15,15,6,6,10,6,6,1,1],[1,45,
40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,75,160,175,
30,90,96,160,75,15,60,45,180,96,80,320,120,5,1,15,15,45,45,45,120,15,15,45,20,
10,60,16,48,5,6,10,6,5,1],[1,75,160,55,150,90,96,160,15,75,60,45,180,96,40,
240,240,1,5,15,15,45,45,45,40,80,15,15,45,10,20,60,16,16,32,5,6,10,6,5,1],[1,
75,40,35,130,90,96,80,120,15,10,15,10,45,30,30,180,96,10,40,40,40,40,1,45,45,
30,30,30,40,40,20,40,15,5,15,10,10,10,16,5,6,5,10,6,5,1],[1,35,16,35,30,150,
16,80,5,15,75,60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,15,1,20,16,15,1,5,
1,5,1,3,1,1],[1,99,112,39,210,198,480,144,15,18,33,18,12,63,90,126,324,36,64,
24,24,96,48,48,144,144,1,1,3,3,9,63,54,63,90,18,54,36,36,64,24,24,12,48,96,96,
192,144,3,21,18,9,9,27,9,18,9,18,18,48,1,5,4,8,8,12,24,24,12,12,24,24,12,1,9,
9,9,9,9,9,48,6,18,12,3,3,24,24,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[
1,91,112,35,266,210,224,112,64,1,14,105,14,21,126,210,252,140,56,112,7,21,126,
21,126,42,64,28,56,56,56,56,168,7,42,7,21,42,7,28,56,8,21,14,7,7,16,8,7,7,1],[
1,91,112,63,238,210,224,112,64,7,8,105,14,63,84,126,336,28,56,112,112,7,63,84,
63,84,42,64,28,56,56,56,112,56,56,21,28,7,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,
7,1],[1,115,160,175,210,270,96,320,160,75,10,45,30,60,135,90,90,540,60,96,80,
320,120,160,5,1,15,15,45,135,30,135,90,30,90,60,60,96,40,40,120,80,160,15,45,
10,15,45,45,15,30,15,30,30,20,10,40,60,16,48,5,15,15,15,15,15,15,6,10,20,10,
10,20,16,16,15,6,5,10,6,5,1,1],[1,115,160,55,330,270,96,320,160,15,30,85,30,
60,75,150,210,420,60,96,40,240,240,160,1,5,15,15,45,75,90,75,150,30,90,60,60,
96,40,80,80,240,15,25,30,15,45,45,15,30,15,30,30,10,20,40,60,16,16,32,5,15,15,
15,15,15,15,6,20,20,10,20,16,16,15,6,5,10,6,5,1,1],[1,105,175,35,105,315,126,
630,105,120,315,70,126,35,35,35,105,35,105,105,70,126,120,105,105,105,105,105,
70,35,21,42,35,21,15,15,7,1],[1,105,175,35,105,315,126,630,105,120,315,70,126,
35,35,35,105,35,105,105,70,126,120,105,105,105,105,105,70,35,21,42,35,21,15,
15,7,1],[1,99,112,63,266,294,224,336,64,15,14,105,14,84,63,126,210,420,84,28,
28,56,112,112,112,64,1,7,21,21,63,63,126,63,126,42,42,84,84,64,84,84,56,84,56,
56,56,56,56,112,21,21,42,7,63,21,21,42,21,42,42,64,28,28,28,56,28,28,56,84,28,
28,28,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,99,112,
63,266,294,224,336,64,15,14,105,14,84,63,126,210,420,84,140,56,112,112,112,64,
1,7,21,21,63,63,126,63,126,42,42,84,84,64,84,56,56,56,56,168,112,21,21,42,7,
63,21,21,42,21,42,42,64,7,28,56,28,56,28,8,7,7,21,21,21,21,21,14,21,7,28,8,21,
16,8,7,7,7,7,7,7,8,7,7,1,1],[1,75,256,175,30,90,96,160,480,75,15,60,45,180,
160,96,100,40,400,120,160,96,5,1,15,15,45,45,45,160,60,120,60,120,96,15,15,45,
160,1,25,10,20,40,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,1],[
1,195,256,175,570,630,96,1280,960,75,30,105,90,60,315,270,270,1260,180,160,96,
100,40,400,120,160,480,960,96,5,1,15,15,45,315,90,315,270,90,270,180,180,160,
320,288,60,120,120,60,120,120,360,240,720,480,96,15,105,30,45,45,135,45,90,45,
90,90,160,160,1,25,10,20,40,60,60,120,120,60,60,120,60,60,16,48,96,5,45,45,45,
45,45,45,160,6,10,10,90,30,15,15,30,60,120,60,60,48,48,45,10,20,6,16,5,5,5,5,
15,15,30,15,15,6,10,20,10,10,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,195,400,
95,570,630,576,1440,240,15,30,225,30,180,135,270,450,900,180,160,576,80,20,
560,840,80,240,240,1,15,45,45,135,135,270,135,270,90,90,180,180,160,60,120,
120,360,120,240,120,720,240,45,45,90,15,135,45,45,90,45,90,90,160,80,20,60,20,
120,60,120,180,60,96,96,288,15,15,45,45,45,45,45,80,36,60,60,15,60,60,45,10,
36,15,15,15,15,10,16,16,15,15,10,6,6,1],[1,165,220,330,495,396,880,660,165,
495,495,55,396,144,330,660,495,55,220,396,165,330,55,110,110,165,144,66,132,
55,55,55,66,55,11,12,11,1],[1,315,1120,735,630,1890,2016,3360,960,315,315,
1260,945,3780,280,2016,840,3360,2520,21,21,315,315,945,945,945,280,960,2520,
840,1680,315,315,945,280,560,210,210,1260,336,336,1008,672,105,280,126,126,
210,210,126,126,120,240,105,56,112,21,21,1],[1,315,616,175,1470,1890,336,2800,
2520,960,15,120,525,210,315,1260,1890,2520,280,336,70,700,280,840,280,840,
2520,336,35,315,1260,315,1260,630,280,1120,1008,960,210,420,840,840,840,840,
420,1680,840,840,336,105,420,105,315,630,280,280,560,35,35,70,210,420,840,210,
120,120,56,168,336,315,280,280,35,140,105,105,105,105,210,168,168,35,120,240,
120,120,56,105,105,105,35,35,35,28,56,35,28,15,15,8,1],[1,435,1120,175,1890,
3150,2016,6720,3360,960,15,210,525,210,420,315,1890,3150,3780,1260,1120,2016,
280,700,1120,2520,1120,3360,3360,960,1,35,105,105,315,315,1890,315,1890,630,
630,1260,1260,1120,2016,960,840,420,840,420,840,2520,840,1680,2520,3360,3360,
105,105,630,105,315,315,315,630,315,630,630,1120,1120,960,35,35,140,280,140,
420,840,840,420,840,420,420,420,840,420,120,336,336,1344,35,105,315,315,315,
315,315,1120,126,210,210,420,105,105,105,840,420,420,420,120,336,336,315,140,
70,126,120,240,120,35,35,35,35,105,105,105,105,105,105,105,140,70,126,120,120,
120,112,112,105,105,105,105,105,35,70,21,42,35,15,21,16,15,15,7,1],[1,435,
1120,735,1890,3150,2016,4480,3360,960,315,210,525,630,1260,1575,1890,1890,
6300,1260,280,2016,840,3360,2520,3360,960,21,21,315,315,945,1575,630,1575,
1890,630,1890,1260,1260,280,1120,2016,960,840,840,840,2520,1680,3360,315,525,
210,315,945,945,315,630,315,630,630,280,560,560,960,210,210,840,840,1260,336,
336,1008,672,105,315,315,315,315,315,315,280,280,280,126,126,210,420,210,210,
210,420,336,336,336,315,280,126,126,120,240,105,210,210,126,126,120,56,112,
105,56,21,21,21,21,1,1],[1,1155,6160,2695,6930,20790,22176,36960,18480,21120,
1155,330,3465,2310,13860,10395,6930,6930,41580,13860,6160,22176,8064,6160,
1540,24640,27720,6160,18480,18480,77,231,3465,3465,10395,10395,6930,10395,
6930,6930,6930,13860,13860,6160,22176,21120,4620,9240,9240,9240,27720,18480,
9240,36960,18480,3465,3465,2310,1155,10395,3465,3465,6930,3465,6930,6930,6160,
12320,6160,1540,2310,1540,9240,4620,9240,13860,4620,8064,2640,3696,7392,11088,
14784,1155,1155,3465,3465,3465,3465,3465,6160,6160,1386,2772,2310,4620,2310,
2310,1155,4620,4620,3696,3696,3465,770,1386,2772,2640,5280,2640,2640,1155,
2310,1155,1155,1155,770,1386,1232,616,2464,1155,1155,770,672,616,231,462,462,
330,231,176,176,77,22,1],[1,3795,28336,8855,53130,159390,170016,283360,425040,
242880,3795,7590,26565,53130,106260,79695,159390,159390,318780,318780,70840,
170016,185472,35420,35420,141680,212520,141680,425040,425040,242880,170016,
253,1771,26565,26565,79695,79695,159390,79695,159390,159390,159390,318780,
318780,70840,283360,510048,242880,40320,106260,106260,212520,106260,212520,
212520,212520,212520,212520,425040,425040,170016,26565,26565,53130,26565,
79695,79695,79695,159390,79695,159390,159390,70840,141680,141680,141680,
242880,1771,8855,17710,35420,35420,106260,212520,106260,106260,212520,106260,
106260,106260,106260,106260,185472,30360,60720,28336,85008,85008,170016,
170016,8855,26565,79695,79695,79695,79695,79695,70840,70840,70840,141680,
10626,31878,17710,17710,53130,53130,26565,26565,53130,26565,106260,106260,
106260,106260,30360,85008,85008,85008,79695,17710,17710,70840,10626,31878,
30360,60720,60720,30360,60720,28336,8855,8855,8855,8855,26565,26565,53130,
26565,26565,26565,26565,26565,10626,40320,17710,17710,17710,17710,31878,31878,
30360,30360,30360,14168,14168,28336,28336,26565,26565,26565,26565,26565,10626,
8855,17710,17710,15456,14168,14168,1771,5313,10626,10626,8855,3795,7590,5313,
5313,4048,4048,3795,3795,1771,1771,1771,1288,253,506,253,253,23,1]],
[1,2,3,4,4,4,5,6,6,7,8,8,8,8,8,8,8,8,8,8,9,10,11,12,12,12,12,12,12,12,14,15,
16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,20,21,23,24,24,24,24,24,24,24,24,
24,24,24,30,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,42,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,55,56,56,60,60,60,60,60,64,64,64,64,64,64,64,72,72,
72,72,80,80,96,96,96,96,96,96,96,96,96,96,96,96,112,120,120,120,128,144,144,
144,160,160,168,168,168,168,168,180,192,192,192,192,192,192,192,192,192,192,
192,192,240,253,288,288,288,288,320,320,336,336,336,360,360,360,360,384,384,
384,384,384,480,576,576,576,660,720,720,960,960,960,960,1152,1344,1344,1920,
1920,2520,2520,2688,2688,2880,5760,5760,7920,20160,20160,40320,40320,443520,
10200960],
[204,193,169,186,149,106,101,77,61,78,194,188,171,150,126,131,104,106,66,73,
134,101,94,157,158,112,88,112,61,61,78,101,201,196,173,172,131,131,104,131,
104,106,106,73,73,134,77,48,78,156,123,124,88,126,85,88,88,86,87,60,61,101,
170,171,149,174,131,131,131,104,131,106,106,134,109,112,111,78,196,186,177,
157,158,126,85,123,124,88,125,126,124,123,126,94,164,141,169,129,128,100,101,
186,174,131,131,131,131,131,134,134,134,112,185,162,177,177,147,149,170,171,
149,174,123,124,125,126,164,128,129,130,131,177,178,134,185,162,163,138,139,
164,141,169,186,186,186,186,171,170,149,174,174,174,171,170,185,156,177,178,
177,177,161,162,163,164,165,180,181,168,169,170,171,172,173,174,185,186,177,
178,179,180,181,196,190,184,185,186,194,188,189,190,191,192,193,194,196,196,
197,198,202,200,201,202,203,204],
[1,1,1,1,1,1,1,3,1,1,1,1,1,2,2,1,1,2,2,1,1,7,1,4,4,4,5,1,3,3,1,1,1,1,1,2,2,2,
2,2,2,2,2,6,6,21,3,7,10,1,4,4,5,15,14,27,27,24,25,26,9,7,4,4,5,2,4,4,4,5,4,6,
6,21,21,4,21,10,34,33,34,4,4,54,55,24,25,27,35,15,25,24,54,23,11,12,97,98,99,
100,32,4,11,13,16,16,11,13,46,21,46,76,34,33,81,79,80,81,34,33,34,66,51,52,89,
54,11,99,98,97,40,34,33,74,113,114,137,138,139,95,96,97,33,34,102,102,80,79,
81,122,122,66,80,79,34,50,132,133,79,81,113,114,137,95,165,166,167,168,142,
119,120,146,145,122,113,102,132,133,179,166,167,182,183,184,155,176,187,188,
182,183,191,192,193,187,182,195,197,198,199,200,201,199,203,204],
[( 2,11)( 4,20)( 5,10)( 6,22)( 9,21)(14,24)(15,19)(17,18),( 2,19,23,14)
( 3, 9,12,17)( 4,10)( 6, 7)( 8,21,24,22)(13,16,15,20)],
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5,1,3,1,4,-2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,
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1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,3,1,1,3,-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,1,1],[4,1,5,-1,3,-1,4,1,3,1,5,-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,
1,3,1],[3,1,4,-2,5,-1,3,1,4,1,5,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[
4,1,3,1],[5,1,6,1,4,1,6,-1,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,
2,-1,1,1,2,1],[1,1,3,-2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-3,1,1,3,
3,1,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[4,1,1,1,3,1,4,-1,3,-1]],[[2,1,1,
1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,
1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[3,1,4,1,3,2,4,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,
3,1,5,2]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1,3,-1]],[[2,1,1,1,2,1],[1,1,2,-2,
1,1,3,1],[3,1,4,4]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,4,-1,5,1,3,1,
5,-1,4,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1]],[[
2,1,1,1,2,-1,1,1,2,1],[1,1,3,-3,1,1,3,-2,1,1,3,-1]]],[[[2,1,1,1,2,1],[1,1,2,
-2,1,1,3,1],[3,1,4,4]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,4,-2,5,2,
4,1,5,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2,3,1]],[[1,1,2,-2,
1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[4,1,6,1,5,-1,6,1,5,-1,4,-1]],[[1,1,2,
-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[5,1,6,3,5,-2]]],[[[1,1,2,-2,1,1],[
2,1,1,1,2,1],[3,1,4,-2,3,1,4,2,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[
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-1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,2,5,-2,4,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,-1,3,-2]],[[
2,1,1,1,2,-1,1,1,2,1],[1,1,3,3],[3,1,1,1,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,3,4,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,
1,3,1],[4,1,3,2,4,1,1,1,3,1,1,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1,4,
-1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[4,1,6,1,5,-1,6,1,
5,-1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1,4,-2,3,-1]],[[2,
1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-2,3,-1,1,1,3,-1]]],[[[1,1,2,-2,1,
1],[2,1,1,1,2,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]],[[1,1,2,-2,1,1],[2,1,
1,1,2,1],[3,1,4,1],[4,1,3,1],[3,1,5,-1,6,2,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[1,1,3,-1],[4,1,3,-1,1,1,3,-1,4,1,1,1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,-1,4,1,5,2]]],[[[
2,1,1,1,2,-1,1,1,2,1],[1,1,3,-2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,1,1],[4,1,5,2,3,2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,3,
1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,3,1,1,3,-2]]],[[[2,1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[4,1,3,2,1,1,3,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,4,3,1,1,3,-2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2,3,
1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]]],[[[
2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,
1,2,1],[3,1,1,1],[1,1,3,-2,4,-1,1,1,3,2,4,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,
1],[3,1,4,-2,3,1,4,2,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[
5,2,6,-1,5,1,6,-1,4,-1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1],[4,2,3,-2]],[[1,
1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1,5,-1,4,-1,5,2,4,1]]],[[[2,1,1,1,
2,-1,1,1,2,1],[1,1,3,1],[4,2,3,3,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,1,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
1,1],[1,1,3,-1,4,1,5,1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1,1,1,
3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1],[4,2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,
3,1],[4,2,3,3,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[5,1,4,1,
1,1,3,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,2,1,1,3,-2,4,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,2,1,1,3,
-2,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,4,1,5,
2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,2]],[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,
-2,4,-1,1,1,3,2,4,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,3,2,5,
-2,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,-1,3,1,4,1]],[[2,1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1,3,-1,4,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[3,1,1,1],[1,1,3,-1,1,1,3,1,4,2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[4,1,3,1,4,1,1,1,3,-1,4,-2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,
4,2,3,1]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]]],[[[
2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[3,1,4,2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,
4,1],[3,1,4,-1,3,1,4,-1,5,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1,1,
1]],[[2,1,1,1,2,-1,1,1,2,1],[3,3,1,1,3,2,1,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,
1],[3,1,4,-2,3,1,4,2,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,4,-1,
5,1,4,1,5,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,-3,3,1,4,1,3,1,4,-1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
4,1,3,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,4,
1,3,1,4,1,5,-1,3,-1,4,-1,5,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[
5,1,3,1,5,1,4,1,3,1,4,2,5,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,
2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1],[4,1,5,3,4,-1,3,1,4,-1]]],[[[2,1,
1,1,2,1],[3,-1,1,1,2,-2,1,1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,2,3,1,
4,2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2,3,1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,
3,1],[4,1,3,2,1,1,3,-1,4,-1,3,-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[
4,1,3,1,4,-1,5,1,3,1,5,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,5,-1,
4,1,3,1,4,-1,5,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,5,3,3,1,4,1,3,
1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1],[4,2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[4,2,3,3,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,
1],[4,1,5,2,3,2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,1,
1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-2,3,-1,1,1,3,-1]],[[2,
1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,4,1,5,2]]],[[[1,1,2,
-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[5,2],[6,1,3,1,4,-1,6,1]],[[1,1,2,-2,1,1],[2,
1,1,1,2,1],[3,1,4,1],[4,1,3,1,5,-1,4,-1,3,1,4,-2,5,1]]],[[[1,1,2,-2,1,1],[2,1,
1,1,2,1],[3,1,4,1],[4,2,3,1,5,-2,4,-1,5,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,
1,4,1],[4,1,3,1],[4,1,6,2,5,-2,4,-1]]],[[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[3,
1,4,4]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-2,
4,-2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-1,4,3,
3,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,3,4,2]]],[[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,1,1,1,3,-1,1,1,3,-1]],[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[1,1,3,1,4,-3,3,-1]]],[[[2,1,1,1,2,-1,1,1,
2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,
1,4,3,1,1,3,-2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[1,1,2,
-2,1,1],[2,1,1,1,2,1],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]]],[[[2,1,1,1,2,1],[1,1,
2,-2,1,1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,
4,1],[3,1,5,-1,4,1,3,1,5,-2,4,-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[
4,1,3,1,4,-1,5,1,3,1,5,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,2,3,1,
5,-2,4,-2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1],[4,1,5,3,4,-1,3,1,4,
-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,
-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]],[[
1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[5,2,4,2,3,1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,-2,5,-1,4,1,2,-1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[4,1,3,2,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1,3,-3,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-1,3,-2,4,1,3,-2,2,1]],[[1,1,2,1],[1,1,2,-1],[3,2],[2,1,1,1,5,-1,4,
-1,5,-1,4,-1,2,-2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,2,3,1,4,2]],[[1,1,
2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,-1,5,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,
1,2,1],[1,1,3,-1,1,1,3,-3]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,
5,-1,3,-1,4,1,3,1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1]],[[2,1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,2,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,
1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,4,1,5,1,3,1,5,1,4,
-1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1],[4,2,3,-2]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[3,1,4,1],[5,2,3,1,4,-1,5,-1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,
3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,2],[4,1,1,1,3,1,1,1,3,-1,4,-1]],[[2,
1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1],[5,1,4,1,1,1,3,-1,5,-1]],[[2,1,1,1,2,
-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,4,1,3,1,5,-1]]],[[[2,1,1,1,2,
-1,1,1,2,1],[3,1,1,1],[4,1,1,1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,1,1],[4,1,5,-1,3,-1,4,2,5,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,
1,1],[1,1,3,-1,4,1,5,1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1,3,-1]],[[
2,1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1,1,1,3,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,1,1],[1,1,3,-1,4,1,5,1,4,1,5,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[
3,1,4,-1,3,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-1,1,1,
3,1,4,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,
1,2,1],[3,3,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,
-1,3,-1,4,1,3,1,5,-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,-2,3,1,4,-1,3,1]],[[
1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,5,1,3,1,4,-1,5,2]]],[[[2,1,1,1,2,
-1,1,1,2,1],[1,1,3,-2,1,1,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,
1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,2,4,1],[1,1,3,-1,
5,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[5,1,3,1,5,1,4,1,3,
1,4,2,5,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1,1,1,3,-2]],[[2,1,1,1,2,-1,
1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-1,1,1,3,2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,
1,3,-1,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,
-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,4,1,3,1,5,
-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[1,
1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1],[4,1,5,3,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,
1],[2,1,1,1,2,1],[3,1,4,1],[5,2,3,1,4,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,
4,-1,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,1,1,3,-1,4,
-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,1,5,-1,3,-1,4,1,3,1,5,
-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[2,1,1,1,2,1],[1,1,
2,-2,1,1,3,1],[3,1,4,3,3,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,
2,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[5,1,3,1,5,-1,4,1,3,1,4,
-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,5,-1,4,1,3,1,4,-1,5,1]]],[[[
1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,5,1],[6,1,3,1,4,-1,5,-1,6,-1]],[[1,
1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1],[4,1,6,3,5,-2]]],[[[1,1,2,-2,1,
1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[3,1,4,
4]]],[[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,
-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1,4,-1,5,1,3,1,5,-1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[3,2,4,2,3,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-1],[4,2,1,1,
3,2,1,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,2,4,2,3,1]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-2,1,1,2,1],[3,1,1,1,3,-3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[1,1,3,1],[3,1,4,2,3,1,1,1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[1,1,3,1],[3,-3,1,1,4,2,3,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,
3,1,4,2,3,1]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[4,3,3,1,4,1]]],[[[1,1,2,-2,1,
1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[
4,2,3,1,5,-2,4,-2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,2,4,1,3,1,4,
1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,-3,1,1,3,-2,1,1,3,-1]]],[[[1,1,2,-2,1,1],[
2,1,1,1,2,1],[4,1,3,1],[5,1,4,-1,3,1,5,1,4,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,
1],[3,1,4,-1],[5,2,4,-1,3,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,-3,1,1,3,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[4,
1,3,2,1,1,3,-1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,
1],[3,1,1,1],[4,2,3,-2,1,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,
3,-1,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,1,1],[1,1,3,-1,4,1,5,1,
3,1,5,1,4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-1,1,1,3,2,4,
1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,2,3,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[1,1,3,-1],[4,2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,
3,1],[4,1,3,1,4,2,3,2]],[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,2,1,1,3,1,4,-2,3,
-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[1,1,2,-2,1,1],[2,1,
1,1,2,1],[4,1,3,1,4,1],[5,-2,3,1,4,-1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,
4,1,3,1,4,-1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1],[4,1,5,3,4,-1,3,1,4,
-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,2,1,1,3,-1,1,1,3,-2]],[[2,1,1,1,2,-1,1,1,2,
1],[1,1,3,-3,1,1,3,3,1,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[5,2,3,1,
4,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,2],[4,1,3,1,5,-1,3,1,4,1,5,1]]],[[[2,1,
1,1,2,-1,1,1,2,1],[1,1,3,1],[3,1,4,1,3,2,1,1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[
1,1,3,1],[4,1,3,1,1,1,3,-1,1,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,
2,1],[1,1,3,1],[3,1,1,1,4,-1,3,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,1,1,1],[3,2,4,-1,1,1,3,1,4,-1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,
1],[3,1,4,1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,1,1,1],[3,1,4,-1,3,
-1,1,1,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1],[4,1,3,
-1,1,1,4,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,4,
1,3,1,1,1,4,-1,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[
3,2,4,1,1,1,3,-1,4,-2]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[
3,1,4,1],[3,1,1,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2],[5,1,4,-1,5,1,4,1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1],[4,
2,3,-2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,2,3,1,4,2]],[[1,1,2,-2,1,1],[2,
1,1,1,2,1],[3,1,4,1],[4,-1,5,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,
1,1,3,2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[5,2,4,1,3,1]]],[[[1,1,2,-2,
1,1],[2,1,1,1,2,1],[4,1,3,1,4,-1,3,1]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[4,1,
3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]],[[
1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1],[4,2,5,2,4,-1,3,1]],[[1,1,2,-2,1,1],[2,
1,1,1,2,1],[3,1,4,1],[4,1,3,1,5,-1,4,-2,5,-1]]],[[[2,1,1,1,2,1],[3,-3,1,1,2,
-2,1,1]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[3,1,4,1],[5,1,4,1,5,1]],[[1,1,2,
-2,1,1],[2,1,1,1,2,1],[3,1,4,-1],[5,1,3,1,4,-1,5,1,3,1,4,1]]],[[[2,1,1,1,2,-1,
1,1,2,1],[1,1,3,1],[1,1,3,-1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,1,2,1],[3,2],[
4,1,1,1,3,1,1,1,3,-1,4,-1]]],[[[2,1,1,1,2,1],[3,-3]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[3,1,4,-2,3,1,4,2,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[4,1,3,1,
4,-1,5,1,3,1,5,-1]]],[[[1,1,2,-2,1,1],[3,1,2,1,1,1,2,1],[4,2,3,1,4,-1]],[[1,1,
2,-2,1,1],[2,1,1,1,2,1],[3,1,4,2,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[3,1,1,1,3,-3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[
1,1,3,1],[3,1,4,2,3,1,1,1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,3,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[1,1,3,1],[3,1,1,1,4,-1,3,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,
1,2,1],[1,1,3,1],[4,2,3,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,
1,1,2,1],[3,1,1,1,3,-3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[
1,1,3,1],[1,1,3,-1,4,1,3,1,4,2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,-2,3,1,4,
-1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,1,3,1,4,2,3,1]]],[[[1,1,2,-2,1,1],[
2,1,1,1,2,1],[4,-2,3,1,4,-1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,
1,4,-1,5,1,4,1,5,1]]],[[[1,1,2,-2,1,1,2,1,1,1,2,1]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[4,1,3,1,4,-1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,2,-2,1,
1,2,-1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-2],[6,1,4,1,6,1,3,1,
5,-1,2,1,4,-1,3,-1,4,1,5,-1,6,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[3,1,4,-2,3,1,4,2]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,1],[3,1,4,1],[5,1,4,1,
5,1]]],[[[1,1,2,-2,1,1]],[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1,3,-1]],[[1,1,2,-2,1,
1],[2,1,1,1,2,1],[4,1,3,1],[4,1,3,1,4,1,5,-3,4,-1]]],[[[2,1,1,1,2,1],[3,-1,1,
1,2,-2,1,1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1,3,1]],[[1,1,
2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[
3,1,4,-1,3,1,4,1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,2]]],[[[1,1,
2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,
1,4,-1,3,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[4,3,3,2]],[[2,
1,1,1,2,-1,1,1,2,1],[3,1,1,1],[1,1,3,-2,4,-2,3,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-2,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[
3,1,1,1,3,-1,1,1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[
4,3,3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,2,4,
1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,-3,1,1,3,-1,
1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,2],[5,1,4,1,5,1,
4,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,3,1,1,4,-2]],[[2,1,1,1,2,-1,1,1,
2,1],[3,1,1,1],[3,1,1,1,3,2,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1],[4,2,
5,1,4,-1,5,1,3,-1]]],[[[2,1,1,1,2,-1,1,1,2,1],[3,-4]],[[2,1,1,1,2,-1,1,1,2,
1],[3,1,1,1],[4,1,3,2,1,1,3,1,4,2]]],[[[2,1,1,1,2,1],[3,-1,1,1,2,-2,1,1,3,
1]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1,3,1]],[[1,1,2,-2,1,1],[2,1,
1,1,2,1],[3,1,4,2,3,1,4,2]]],[[[2,1,1,1,2,1],[3,-3]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[3,1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1,3,2]],[[1,1,2,-2,
1,1],[2,1,1,1,2,1],[3,1,4,-3,3,1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1,3,
-1]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,-3]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[4,2,3,
1,4,-1,3,1,4,-1,3,1,4,1]]],[[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-2,3,1,4,
2]],[[1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,1],[3,1,4,-1,5,1,4,1,5,1]]],[[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,3,1,4,2]],[[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[3,1,1,1],[3,1,5,-1,4,3,5,1]]],[[[1,
1,2,-2,1,1,2,1,1,1,2,1]],[[2,1,1,1,2,1],[3,1,1,1,2,-2,1,1],[4,2,3,-2]]],[[[2,
1,1,1,2,1],[3,1,1,1,2,-2,1,1,3,2]],[[2,1,1,1,2,1],[1,1,2,-2,1,1,3,-3]]],[[[1,
1,2,-2,1,1]],[[2,1,1,1,2,1],[3,-1,1,1,2,-2,1,1,3,1]],[[1,1,2,-2,1,1],[2,1,1,1,
2,1],[3,1,4,-2,3,1,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,-1,1,
1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,1],[4,1,3,1,1,1,3,-1,
4,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1,
3,-2,2,1,3,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,
1,2,1],[1,1,3,-1,1,1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[
2,1,1,1],[2,-2,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,1,2,1],[3,2]],[[1,1,2,-2,1,1],[2,
1,1,1,2,1],[4,1,3,1],[5,2,4,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-2,
4,-2]],[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,4,2]]],[[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,1,1,1,3,1],[4,2,3,1,1,1]]],[[[1,1,2,-2,1,1,2,1,1,1,2,1]],[[
1,1,2,-2,1,1],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,-2]]],[[[1,1,2,-2,1,1]],[[2,1,1,1,
2,1],[3,1,1,1,2,-2,1,1,3,-1]],[[2,1,1,1,2,1],[3,-3]]],[[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,2,1,1],[4,1,3,-1,1,1,4,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-2]]],[[[1,1,2,-2,1,1]],[[2,1,1,1,2,1],[1,
1,2,-2,1,1,3,1],[3,1,4,2]]],[[[2,1,1,1,2,-1,1,1,2,1],[1,1,3,1,1,1,3,-1]],[[2,
1,1,1,2,-1,1,1,2,1],[1,1,3,1],[3,-1,4,-1,3,-2]]],[[[2,-1,1,-1,2,2,1,-1,2,-1,1,
1,2,1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-1,1,1,3,1,
1,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,
1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,
1],[3,2,1,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,-3]],[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-1,1,1,3,-2,1,1]]],[[[2,1,1,1,2,1,1,
1,2,-2,1,1]],[[2,1,1,1,2,1],[3,2]]],[[[1,1,2,-2,1,1]],[[2,1,1,1,2,1]]],[[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-2,1,1,2,1],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1],[1,1,3,-2,1,
1]]],[[[2,1,1,1],[3,1,2,-1,1,1],[4,2,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,1,2,1],[3,-2]]],[[[
1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,
1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-2,1,1,2,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,1,2,
1]]],[[[1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1]]],[[[1,1]],[[2,1]]]]);
ACLT( "M23",
"sortperm",( 4, 5, 6)( 11, 12, 20, 16, 13)( 14, 17, 18, 19)( 24, 26)
( 25, 30, 29, 27)( 33, 34)( 36, 37, 39, 43, 40)( 44, 45)( 51, 60)
( 52, 54, 61, 55, 56, 59, 57, 53, 58)( 65, 73, 66, 68, 70, 72, 67)( 69, 71)
( 74, 75)( 79, 88, 86, 87, 83, 84, 93, 92, 91, 82, 89, 81)( 95, 96)
( 97,100, 98, 99)(103,105,108,106)(110,112)(113,114)(115,116,124,119,123,125,
118,120,122,117)(129,130)(132,134,133)(135,136)(137,138)(140,141)
(143,153,154,150,145)(144,149,147,148,151,146,152)(157,158)(166,167,168)
(170,172,173,171,174)(176,177,178)(180,181)(182,183)(187,188)(193,194)
(196,197)(201,202));
ACLT( "M23",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,-2],[5,2]],[[2,1]]],,[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,-1,4,
1,5,-1]],[[2,1]]],,[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2,2,1]],[[1,1,2,1],[1,1,2,
-1,3,-2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[2,1,1,
1],[1,1,2,1,3,-1],[3,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]]]]);
AFLT( "M11","M12",[1,3,5,10,7,12,15,17,13,21,20,33,34,38,40,44,48,56,61,63,68,
75,73,88,88,90,96,101,103,104,107,110,109,123,124,131,136,141,145] );
AFLT( "M11","M12",[1,3,5,10,6,12,17,15,13,22,19,27,35,38,40,44,48,59,62,64,67,
77,70,87,87,89,95,101,104,103,108,112,111,122,125,132,136,137,146] );
AFLT( "M11","M23",[1,2,3,5,6,7,8,8,9,15,20,18,21,22,23,27,30,44,46,47,48,54,
56,74,75,77,93,94,98,100,109,111,110,129,134,167,179,181,198] );
AFLT( "M11","McL",[1,2,4,5,6,8,11,11,10,16,19,18,21,26,27,30,34,48,49,52,56,
61,67,94,93,98,120,131,137,136,150,148,146,196,204,269,296,300,354] );
AFLT( "M11","A11",[1,3,6,13,15,18,25,24,30,47,53,46,55,61,63,71,93,126,129,
144,149,212,174,255,255,272,353,367,373,375,404,403,429,503,548,645,698,708,
769] );
AFLT( "M11","A11",[1,3,6,13,15,18,25,24,30,47,53,46,55,61,63,71,93,126,129,
144,149,213,174,255,255,272,354,367,374,375,404,403,429,504,548,645,697,708,
768] );
AFLT( "M11","HS",[1,2,4,9,7,15,18,18,20,35,47,46,50,54,57,61,68,126,134,135,
139,159,152,238,241,243,274,284,289,288,353,358,350,395,430,497,528,537,
577] );
AFLT( "M11","HS",[1,2,4,9,7,15,18,18,20,34,48,46,50,54,57,61,68,125,134,135,
139,160,152,238,240,243,273,284,288,289,352,358,351,396,431,496,528,536,
576] );
AFLT( "M12","M12.2",[1,2,4,6,5,15,15,10,8,11,12,17,25,23,22,19,22,18,42,42,31,
31,29,36,36,32,40,34,39,26,39,28,40,43,43,44,48,45,46,50,51,55,53,52,54,58,60,
63,68,77,82,81,76,82,81,83,79,84,83,84,85,85,87,87,89,90,95,95,104,102,106,
101,102,108,115,101,115,109,117,119,118,130,130,128,121,128,131,131,133,133,
132,135,138,142,146,146,143,149,149,148,151,152,153,153,154,160,162,162,163,
165,163,165,166,169,170,171,171,176,181,179,181,182,182,186,186,191,190,193,
193,197,198,198,201,201,204,203,207,206,205,206,207,205,210,210,211,211,
212] );
AFLT( "M12.2","M24",[1,3,3,2,4,5,6,7,8,9,11,13,13,15,16,17,18,19,22,22,21,20,
24,24,23,28,28,31,41,40,73,65,64,61,69,54,50,51,57,55,58,75,76,77,78,79,79,80,
80,81,83,91,85,89,94,95,98,99,98,101,101,100,96,103,105,104,115,143,146,124,
192,194,213,205,201,178,155,176,163,173,230,226,235,233,237,238,240,241,239,
243,243,244,244,242,245,246,250,254,256,266,265,263,270,286,287,272,272,279,
277,297,298,296,295,302,291,299,303,397,371,404,506,459,461,449,421,342,364,
508,489,515,517,521,522,523,526,525,524,550,588,541,552,568,564,572,582,594,
602,603,605,604,606,610,614,612,703,653,776,821,805,790,730,827,841,838,840,
830,833,844,883,864,911,909,894,884,918,917,916,919,922,922,925,929,927,1047,
1058,1061,1124,1155,1151,1130,1153,1114,1161,1162,1163,1167,1169,1245,1312,
1269,1315,1319,1351,1352,1355,1353,1357,1412,1411,1419,1499,1521,1524] );
AFLT( "M22","M22.2",[1,2,5,17,9,15,8,6,7,19,21,24,25,26,27,28,38,39,41,43,42,
63,64,65,33,68,70,72,73,75,75,76,74,77,78,85,80,88,89,99,100,125,127,126,129,
132,128,131,130,106,142,153,159,161,162,165,167,181,182,175,176,179,177,178,
180,180,190,191,197,215,216,217,234,233,235,222,223,247,257,260,272,271,271,
270,278,276,277,281,282,283,295,296,299,302,303,306,306,305,307,307,304,312,
313,310,332,331,347,338,355,356,359,360,361,366,365,367,372,380,378,389,389,
401,405,408,409,413,415,415,414,412,417,420,423,422,428,435,438,445,446,447,
447,448,450,459,463,467,470,471,472,475,479,482,482,485,487,489] );
AFLT( "M22","M23",[1,2,3,4,4,5,5,6,6,7,9,8,10,12,11,13,14,15,16,16,17,18,19,
19,20,21,22,23,25,24,26,26,27,27,28,30,29,33,34,35,35,40,40,41,38,38,37,37,39,
36,43,42,44,45,46,48,49,52,53,56,57,57,59,60,58,60,55,61,66,65,63,64,68,69,70,
67,67,71,72,73,76,74,75,75,83,80,81,89,89,91,87,88,85,94,96,99,97,99,100,98,
100,103,104,102,107,108,105,106,109,112,113,114,122,115,118,117,121,124,125,
130,128,131,133,135,136,138,137,138,139,141,151,145,150,152,149,158,161,167,
168,166,168,174,173,178,179,181,182,183,184,188,189,191,192,197,199,203] );
AFLT( "M22","McL",[1,2,4,5,5,5,5,6,6,8,10,11,12,14,14,13,15,16,17,17,17,18,18,
18,19,23,26,27,29,28,30,30,29,30,33,34,32,38,39,40,40,43,43,43,44,44,45,45,45,
41,42,46,48,47,50,56,57,64,64,65,65,67,65,67,66,67,60,70,84,86,86,85,88,87,87,
89,89,90,91,92,100,96,95,97,108,106,105,118,118,116,111,111,115,131,133,137,
134,136,137,136,135,141,140,139,144,143,145,142,151,154,156,155,166,171,171,
172,170,176,178,198,196,201,202,207,208,216,217,215,216,219,223,225,229,232,
226,248,250,264,265,266,267,273,274,287,296,298,307,308,310,320,325,336,335,
349,358,370] );
AFLT( "M22","McL",[1,2,4,5,5,5,5,6,6,8,10,11,12,13,13,14,15,16,17,17,17,18,18,
18,19,23,26,27,28,29,30,30,28,30,33,34,32,39,38,40,40,43,43,43,45,45,44,44,44,
41,42,46,48,47,50,56,57,63,63,66,66,67,66,67,65,67,59,70,84,85,85,86,87,88,88,
89,89,90,91,92,100,97,95,96,107,105,106,118,118,117,110,110,114,131,132,137,
135,136,137,136,134,140,141,139,143,144,145,142,151,154,155,156,167,172,172,
171,169,175,178,197,196,201,203,208,207,217,216,215,217,218,224,225,228,233,
227,249,251,263,266,265,267,272,274,286,296,299,308,307,309,319,326,336,334,
350,358,371] );
AFLT( "M22","HS",[1,2,4,8,9,8,9,6,7,15,20,18,21,22,23,23,36,37,27,30,28,43,43,
46,49,50,54,57,58,61,61,60,60,61,62,68,69,73,73,79,80,87,88,85,109,110,109,
110,108,96,102,117,129,131,134,139,146,153,155,151,151,152,149,151,152,152,
161,162,175,180,183,183,200,199,201,188,191,209,223,214,245,240,241,239,255,
254,254,257,258,269,259,264,278,284,285,288,289,290,288,289,290,301,303,298,
314,316,324,340,354,360,364,364,367,372,371,372,385,375,381,395,396,420,429,
439,439,440,442,441,443,444,451,446,453,448,461,483,491,498,498,496,497,503,
509,521,528,535,546,546,545,554,566,569,570,574,580,588] );
AFLT( "M22.2","M24",[1,2,2,3,4,16,16,11,10,9,11,12,16,14,11,13,10,15,18,20,23,
23,21,20,25,32,26,33,33,36,35,32,75,44,37,42,43,72,73,72,63,70,63,63,62,70,75,
65,70,71,61,46,56,52,55,48,58,55,57,53,56,54,55,52,52,60,31,76,79,78,80,81,86,
91,90,90,91,92,93,102,97,100,97,96,96,104,106,108,109,117,110,122,121,126,132,
127,136,137,144,144,147,148,149,149,139,141,170,168,180,189,188,167,156,168,
174,188,179,178,188,187,189,169,181,190,170,189,170,208,191,221,208,191,215,
191,197,221,217,197,216,196,218,228,227,228,228,227,227,229,226,231,230,232,
231,233,233,236,235,236,235,234,234,237,240,243,245,245,247,250,252,258,263,
261,267,266,263,260,262,267,260,267,278,281,279,283,281,284,282,288,289,290,
293,294,301,300,298,305,398,398,403,403,311,322,325,326,346,361,357,356,368,
355,358,359,368,367,361,335,346,369,370,406,407,434,434,435,415,415,414,428,
380,390,391,394,454,456,455,456,454,465,455,465,464,456,410,408,503,505,503,
433,481,484,483,482,484,507,509,507,509,512,513,512,500,472,471,514,514,515,
502,516,516,517,517,518,522,526,528,530,531,537,546,549,551,551,585,554,560,
557,575,574,557,555,556,564,576,578,558,574,581,595,593,596,601,606,608,614,
613,613,614,702,702,620,643,715,733,717,733,715,718,717,719,632,637,824,824,
789,789,788,782,782,772,771,772,771,804,804,750,791,794,791,764,656,668,699,
677,700,761,820,820,755,813,815,786,795,828,840,827,836,841,835,842,843,863,
852,850,854,854,845,852,866,872,870,859,880,880,875,887,882,912,912,899,898,
902,906,910,914,919,921,929,928,928,949,939,1050,1050,1040,1040,1032,1032,993,
1016,1042,1042,1020,1025,1021,1052,1057,1061,1062,1064,1063,1065,1071,1067,
1068,1067,1129,1123,1122,1109,1077,1113,1107,1105,1141,1139,1140,1141,1139,
1103,1094,1096,1154,1158,1216,1220,1229,1230,1236,1236,1238,1234,1243,1241,
1239,1245,1246,1246,1301,1299,1265,1265,1287,1276,1268,1270,1272,1259,1296,
1345,1342,1346,1349,1351,1353,1354,1355,1357,1379,1386,1389,1390,1392,1407,
1411,1416,1419,1447,1448,1447,1445,1449,1457,1460,1478,1490,1507,1509,1516,
1526,1527] );
AFLT( "M23","M24",[1,2,4,10,11,16,18,20,23,25,26,32,33,72,73,63,70,55,52,75,
76,78,81,90,86,90,91,92,102,96,106,107,108,109,144,141,208,191,221,170,189,
231,228,235,234,237,240,245,247,251,284,278,281,291,290,263,260,267,262,267,
293,304,335,346,361,398,434,456,454,455,503,509,512,517,517,518,522,528,529,
530,531,543,537,592,593,576,558,574,551,599,585,590,594,606,607,608,613,614,
613,614,616,620,715,733,820,791,771,772,827,841,840,836,842,843,845,853,852,
854,874,875,880,863,900,898,912,913,920,928,929,928,1042,1053,1052,1061,1062,
1064,1067,1067,1068,1070,1071,1073,1087,1088,1077,1083,1140,1137,1139,1105,
1123,1107,1146,1145,1165,1172,1224,1220,1225,1226,1236,1238,1241,1240,1244,
1246,1245,1246,1247,1307,1306,1303,1265,1301,1318,1340,1343,1345,1351,1354,
1357,1389,1390,1392,1394,1408,1418,1416,1447,1448,1457,1457,1464,1459,1466,
1492,1490,1499,1509,1510,1517,1516,1526,1528] );
AFLT( "M12","A12", [ 1, 3, 4, 7, 8, 25, 23, 12, 18, 21, 20, 27, 44, 43, 37,
33, 34, 36, 113, 114, 93, 94, 68, 79, 81, 100, 89, 107, 86, 49, 84, 58, 92,
123, 116, 124, 132, 130, 129, 133, 144, 156, 142, 145, 141, 175, 176, 177,
318, 269, 296, 325, 239, 290, 328, 335, 263, 333, 336, 330, 340, 344, 370,
367, 371, 386, 380, 379, 473, 412, 430, 404, 407, 427, 476, 409, 478, 434,
517, 658, 542, 709, 706, 688, 666, 686, 723, 720, 759, 761, 735, 789, 892,
866, 925, 923, 848, 951, 949, 957, 963, 970, 972, 973, 974, 1100, 1149,
1150, 1229, 1142, 1227, 1143, 1167, 1371, 1277, 1375, 1378, 1428, 1436,
1447, 1438, 1441, 1443, 1618, 1620, 1742, 1718, 1779, 1781, 1815, 1939,
1936, 2031, 2034, 2145, 2143, 2185, 2156, 2189, 2162, 2187, 2188, 2332,
2331, 2462, 2464, 2517 ]);
AFLT( "M12","A12", [ 1, 3, 4, 7, 8, 25, 23, 12, 18, 21, 20, 27, 44, 43, 37,
33, 34, 36, 113, 114, 93, 95, 68, 79, 82, 100, 89, 107, 86, 48, 83, 58, 92,
123, 117, 124, 132, 130, 129, 133, 144, 156, 142, 145, 141, 175, 176, 177,
318, 268, 297, 325, 239, 290, 328, 335, 264, 332, 337, 330, 340, 343, 370,
366, 371, 386, 380, 379, 473, 412, 431, 404, 407, 427, 477, 410, 479, 434,
518, 657, 543, 710, 706, 688, 667, 685, 722, 720, 758, 761, 735, 789, 892,
867, 924, 922, 848, 952, 950, 958, 963, 969, 971, 973, 974, 1101, 1149,
1151, 1229, 1142, 1228, 1144, 1167, 1370, 1276, 1376, 1378, 1429, 1437,
1448, 1439, 1441, 1444, 1618, 1619, 1741, 1719, 1778, 1782, 1816, 1939,
1935, 2032, 2033, 2145, 2144, 2186, 2157, 2190, 2162, 2187, 2188, 2333,
2331, 2463, 2465, 2518 ]);
AFLT( "M23", "Co3", [1,2,5,9,9,8,13,16,23,26,27,27,27,34,35,39,39,41,41,49,54,59,
64,69,69,69,69,86,67,73,91,93,94,94,106,99,161,161,161,125,125,156,113,149,
139,172,190,208,216,219,242,242,242,224,223,234,234,234,234,234,238,296,331,
331,331,301,336,428,428,428,385,395,354,431,433,461,436,487,488,488,488,529,
529,494,495,537,537,537,521,508,565,565,517,644,646,646,649,649,650,650,657,
665,724,724,781,748,793,793,809,816,820,829,852,852,937,937,937,937,942,942,
942,882,963,963,929,907,1036,1045,1044,1044,1159,1166,1166,1175,1207,1207,
1279,1280,1280,1277,1277,1281,1299,1299,1283,1295,1359,1359,1359,1314,1294,
1326,1360,1360,1436,1465,1514,1514,1518,1518,1539,1539,1595,1597,1598,1600,
1601,1601,1604,1667,1667,1639,1622,1644,1710,1788,1792,1791,1828,1843,1837,
1904,1904,1905,1906,1958,1993,1993,2074,2074,2133,2132,2139,2140,2144,2262,
2261,2307,2374,2375,2419,2417,2468,2478]);
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#E