File: tmunit.tom

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#############################################################################
##
#W  tmunit.tom           GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmunit.tom,v 4.2 2001/07/05 07:20:54 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the tables of marks unitary groups.
##
#H  tomlib history
#H  --------------
#H  $Log: tmunit.tom,v $
#H  Revision 4.2  2001/07/05 07:20:54  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tmunit.tom,v
#H  Working file: tmunit.tom
#H  head: 4.1
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.1.0.10
#H  	GAP4R2PRE2: 4.1.0.8
#H  	GAP4R2PRE1: 4.1.0.2
#H  	GAP4R1: 4.1.0.6
#H  	GAP4B5: 4.1.0.4
#H  	dec16-98b: 4.1
#H  	GAP4b4: 4.1
#H  	version-14-apr: 4.1
#H  	version-15-jun: 4.1
#H  keyword substitution: kv
#H  total revisions: 2;	selected revisions: 2
#H  description:
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 12:38:52;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revisio number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/19 13:25:00;  author: gap;  state: Exp;
#H  added new table of marks library files
#H  ==========================================================================
#H
Revision.tmunit_tom :=
    "@(#)$Id: tmunit.tom,v 4.2 2001/07/05 07:20:54 gap Exp $";

SetActualLibFileName("tmunit");
LIBTOM( "U3(3)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,2,3,8],[1,2,4,9],[1,10],[1,
2,7,11],[1,2,5,7,12],[1,2,5,6,7,13],[1,2,6,14],[1,3,4,15],[1,2,4,5,16],[1,2,3,
6,8,17],[1,2,5,6,7,13,18],[1,2,5,6,7,11,12,13,19],[1,2,5,6,7,13,14,20],[1,2,3,
4,8,9,15,21],[1,4,10,22],[1,2,3,7,8,11,23],[1,2,4,5,7,9,12,16,24],[1,2,3,6,8,
14,17,25],[1,3,4,15,26],[1,2,5,6,7,11,12,13,14,18,19,20,27],[1,2,3,5,6,7,8,11,
12,13,17,19,23,28],[1,2,4,5,6,7,13,16,18,29],[1,2,3,4,8,9,15,21,26,30],[1,2,3,
5,6,7,8,11,12,13,14,17,18,19,20,23,25,27,28,31],[1,2,4,5,6,7,9,11,12,13,14,16,
18,19,20,24,27,29,32],[1,2,3,4,6,8,9,15,17,21,26,30,33],[1,2,4,5,7,9,10,12,16,
22,24,34],[1,2,3,4,6,8,9,14,15,17,21,25,26,30,33,35],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,1,
3,1],[1,5,2,1,1],[1,3,1,1,1,1],[1,1,1,1],[1,1,3,1],[1,3,4,1,1],[1,1,1,1,1,1],[
1,3,1,3,3,3,1],[1,7,3,1,3,1,3,3,1],[1,3,1,1,1,1,2,1],[1,3,1,3,3,1,1,1],[1,7,1,
1],[1,1,4,3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,1,1,1,1,3,1,1],[1,1,12,4,1],[1,7,3,
3,5,1,3,5,2,1,1,1,1],[1,7,4,3,1,3,4,1,3,3,4,1,1,1],[1,3,16,1,3,3,3,4,1,1],[1,
9,1,12,9,12,4,12,1,1],[1,7,4,3,7,9,4,1,3,9,6,4,3,1,3,1,4,3,1,1],[1,15,16,7,3,
9,16,3,9,9,6,4,1,3,3,4,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,21,28,14,21,
28,8,21,14,8,14,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,63,28,336,63,63,
189,252,336,288,63,189,189,378,112,252,252,63,63,189,336,288,63,252,252,28,
189,63,63,28,63,63,28,36,28,1]],
[1,2,3,3,4,4,4,6,6,7,8,8,8,8,9,12,12,16,16,16,18,21,24,24,24,27,32,48,48,54,
96,96,108,168,216,6048],
[36,31,35,21,32,31,27,25,21,22,31,27,27,20,30,24,25,32,31,27,21,22,31,24,25,
35,27,31,32,35,31,32,35,34,35,36],
[1,1,1,1,1,1,1,1,4,1,2,2,1,1,1,5,1,1,2,2,4,10,11,16,3,3,7,11,18,26,23,29,26,
34,26,36],
[( 2,17)( 3,27)( 4, 7)( 5,24)( 6,13)( 8,11)( 9,22)(10,21)(12,14)(16,20)(18,19)
(25,26),( 1, 3, 8,17,18, 5)( 2,25, 9,28,23, 7)( 4,10,22)(11,12,26,24,27,15)
(13,19,16,21,20,14)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,-1],[3,1,1,1,
2,-2,1,1,3,-1]]],[[[1,1,2,1],[2,2,1,1,3,3,2,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,
-1,3,-2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,
1],[3,1,2,1,3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,1,1,1,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1,2,-3,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,
1,1,3,-1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1,2,-1]]],[[[2,1,1,1,2,1],[2,
1,1,1,3,-2]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,
1,1,1,2,-1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
1,3,2]]],[[[1,1,2,1],[2,1,1,1,2,2,3,2,2,1]],[[1,1,2,-1],[3,1,1,1,2,-2,1,1,3,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,
3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1,2,
-1]],[[2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,-1,2,2,1,1]],[[1,1,2,1],[
2,2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,-1,3,-1]]],[[[2,1,1,
1],[1,1,2,-2,3,-1,1,1,2,1,3,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[
2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,2,4,
2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,-1],[3,1,1,1,2,-1,3,1,
2,-1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,3,
1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,
2]],[[1,1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,
2,2,1]],[[2,2,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,2,3,1]],[[1,1,2,1],[3,2,1,
1,2,-1,1,1,2,-1]],[[1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,2]],[[1,1,2,1],[3,
2,2,1,1,1,2,-1]],[[1,1]]],[[[1,1,2,-2,1,1,2,-1,1,1,2,-3]],[[2,1,1,1,2,2,1,1,2,
-2]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,
1,2,-1]]],[[[2,-3]],[[1,1,2,1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[2,1,1,1,2,-1,1,1,2,1]],[[1,1]]],[[[1,1]],[[2,1]]]]);ACLT( "U3(3)",
"sortperm",( 3, 4)( 5, 8,10)(11,15)(12,16,18,21,19,23,26,20,22)(13,14)(24,25)
(27,28,30)(31,32,33)(34,35));




LIBTOM( "U4(3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,9],[1,2,10],[1,2,11],[
1,12],[1,2,3,13],[1,2,5,14],[1,2,6,15],[1,2,6,16],[1,2,5,17],[1,2,4,18],[1,
19],[1,2,10,20],[1,2,10,11,21],[1,2,7,8,22],[1,2,7,9,23],[1,2,7,10,24],[1,2,7,
11,25],[1,2,7,10,26],[1,2,8,9,11,27],[1,2,10,28],[1,3,5,29],[1,3,6,30],[1,5,6,
31],[1,3,5,6,32],[1,3,4,33],[1,4,34],[1,4,35],[1,4,6,36],[1,4,5,37],[1,3,38],[
1,3,39],[1,2,12,40],[1,2,5,9,41],[1,2,6,8,42],[1,2,4,9,43],[1,2,4,9,44],[1,2,
4,8,45],[1,2,4,8,46],[1,2,4,7,47],[1,2,5,9,14,48],[1,2,6,8,15,49],[1,2,6,9,15,
16,50],[1,2,5,8,14,17,51],[1,2,3,10,13,52],[1,2,5,11,14,53],[1,2,6,11,15,54],[
1,2,3,11,13,55],[1,2,7,9,23,56],[1,2,7,8,22,57],[1,2,7,10,24,58],[1,2,7,11,25,
59],[1,2,7,10,20,24,26,60],[1,2,7,8,11,22,25,61],[1,2,7,9,11,23,25,62],[1,2,7,
8,10,11,22,24,25,63],[1,2,7,9,10,11,23,24,25,64],[1,2,7,8,9,10,22,23,24,26,
65],[1,2,7,8,9,11,22,23,25,27,66],[1,2,7,10,11,21,24,25,67],[1,2,7,10,24,28,
68],[1,2,7,10,11,21,26,28,69],[1,2,10,11,20,21,28,70],[1,2,5,6,16,17,31,71],[
1,2,4,18,35,72],[1,2,4,18,34,73],[1,2,4,6,16,18,36,74],[1,2,4,5,17,18,37,75],[
1,2,5,6,14,17,31,76],[1,2,5,6,15,16,31,77],[1,2,3,5,6,15,17,32,78],[1,2,3,5,6,
14,16,32,79],[1,2,3,6,13,16,30,80],[1,2,3,5,13,17,29,81],[1,2,3,4,13,18,33,
82],[1,2,3,5,6,13,14,15,32,83],[1,2,11,12,40,84],[1,4,19,85],[1,2,3,10,13,20,
86],[1,2,6,10,15,20,87],[1,2,5,10,14,20,88],[1,2,3,10,13,20,52,89],[1,2,5,7,9,
14,23,41,90],[1,2,6,7,8,15,22,42,91],[1,2,6,8,9,11,16,27,42,92],[1,2,5,8,9,11,
17,27,41,93],[1,2,4,7,10,18,26,47,94],[1,2,4,8,9,11,18,27,46,95],[1,2,4,8,9,
11,18,27,45,96],[1,2,4,8,9,11,18,27,44,97],[1,2,4,8,9,11,18,27,43,98],[1,2,3,
10,13,28,52,99],[1,2,3,10,11,13,21,52,55,100],[1,2,5,8,9,11,14,17,27,48,51,53,
101],[1,2,6,8,9,11,15,16,27,49,50,54,102],[1,3,6,30,103],[1,3,5,29,104],[1,3,
4,33,105],[1,3,4,6,30,33,106],[1,3,4,6,30,33,107],[1,3,4,5,29,33,108],[1,3,4,
5,29,33,109],[1,3,4,5,6,29,30,33,110],[1,3,4,5,6,29,30,33,111],[1,3,5,6,29,30,
31,112],[1,3,4,33,34,113],[1,3,4,33,35,114],[1,3,5,6,30,31,32,115],[1,3,5,6,
29,31,32,116],[1,3,4,6,30,33,36,117],[1,3,4,5,29,33,37,118],[1,3,5,29,39,
119],[1,3,5,29,39,120],[1,3,5,29,38,121],[1,3,5,29,38,122],[1,3,6,30,38,123],[
1,3,6,30,38,124],[1,3,6,30,39,125],[1,3,6,30,39,126],[1,2,7,8,9,10,20,22,23,
24,26,60,65,127],[1,2,7,8,9,10,11,21,22,23,24,25,26,58,63,64,65,67,128],[1,2,
7,8,9,10,11,21,22,23,24,25,27,59,61,62,63,64,66,67,129],[1,2,7,8,9,10,11,22,
23,24,25,26,61,65,130],[1,2,7,8,9,10,11,22,23,24,25,26,62,65,131],[1,2,7,8,9,
10,11,22,23,24,25,26,27,57,61,63,65,66,132],[1,2,7,8,9,10,11,22,23,24,25,26,
27,56,62,64,65,66,133],[1,2,7,8,9,10,22,23,24,26,28,65,68,134],[1,2,7,10,11,
20,21,24,25,26,28,60,67,68,69,70,135],[1,2,7,10,20,24,26,28,58,60,68,136],[1,
2,5,6,8,14,16,17,31,51,71,76,137],[1,2,5,6,9,15,16,17,31,50,71,77,138],[1,2,4,
10,18,35,72,139],[1,2,4,10,18,34,73,140],[1,2,4,11,18,34,73,141],[1,2,4,11,18,
34,73,142],[1,2,4,11,18,35,72,143],[1,2,4,11,18,35,72,144],[1,2,5,6,11,16,17,
31,71,145],[1,2,4,6,11,16,18,36,74,146],[1,2,4,5,11,17,18,37,75,147],[1,2,3,5,
6,9,13,14,15,16,32,48,50,79,83,148],[1,2,3,5,6,8,13,14,15,17,32,49,51,78,83,
149],[1,2,3,5,6,11,13,14,15,32,53,54,55,83,150],[1,2,4,6,8,15,36,42,45,46,49,
151],[1,2,4,5,9,14,37,41,43,44,48,152],[1,2,5,7,9,14,23,41,48,56,90,153],[1,2,
6,7,8,15,22,42,49,57,91,154],[1,2,4,7,9,23,43,44,47,56,155],[1,2,4,7,8,22,45,
46,47,57,156],[1,2,3,7,10,13,20,24,26,52,60,86,157],[1,2,6,7,8,9,11,15,16,22,
23,25,27,42,50,66,91,92,158],[1,2,5,7,8,9,11,14,17,22,23,25,27,41,51,66,90,93,
159],[1,2,6,7,8,10,11,15,22,24,25,42,54,63,91,160],[1,2,5,7,9,10,11,14,23,24,
25,41,53,64,90,161],[1,2,4,7,10,24,47,58,162],[1,2,4,7,11,25,47,59,163],[1,2,
3,10,11,13,20,21,28,55,70,86,164],[1,2,6,10,11,15,20,21,28,54,70,87,165],[1,2,
5,10,11,14,20,21,28,53,70,88,166],[1,2,3,10,11,13,20,21,28,52,55,70,89,99,100,
167],[1,2,3,5,13,17,29,81,104,168],[1,2,3,6,13,16,30,80,103,169],[1,2,3,4,13,
18,33,82,105,170],[1,2,3,4,5,13,17,18,29,33,81,82,108,171],[1,2,3,4,5,13,17,
18,29,33,81,82,109,172],[1,2,3,4,6,13,16,18,30,33,80,82,107,173],[1,2,3,4,6,
13,16,18,30,33,80,82,106,174],[1,2,3,4,5,6,13,16,17,18,29,30,33,80,81,82,111,
175],[1,2,3,4,5,6,13,16,17,18,29,30,33,80,81,82,110,176],[1,2,3,5,6,14,16,17,
30,31,32,71,76,79,115,177],[1,2,3,5,6,15,16,17,29,31,32,71,77,78,116,178],[1,
2,3,5,6,13,16,17,29,30,31,71,80,81,112,179],[1,2,3,4,13,18,33,35,72,82,114,
180],[1,2,3,4,13,18,33,34,73,82,113,181],[1,2,3,4,5,13,17,18,29,33,37,75,81,
82,118,182],[1,2,3,4,6,13,16,18,30,33,36,74,80,82,117,183],[1,2,3,5,6,13,14,
15,16,30,31,32,77,79,80,83,115,184],[1,2,3,5,6,13,14,15,17,29,31,32,76,78,81,
83,116,185],[1,2,5,9,12,17,40,41,186],[1,2,6,8,12,16,40,42,187],[1,2,4,8,12,
18,40,45,188],[1,2,4,8,12,18,40,46,189],[1,2,4,9,12,18,40,43,190],[1,2,4,9,12,
18,40,44,191],[1,2,4,7,12,18,40,47,192],[1,2,4,7,12,18,40,47,193],[1,2,7,8,9,
10,11,20,22,23,24,25,26,27,57,60,61,63,65,66,127,130,132,194],[1,2,7,8,9,10,
11,20,22,23,24,25,26,27,56,60,62,64,65,66,127,131,133,195],[1,2,7,8,9,10,11,
21,22,23,24,25,26,27,56,57,58,59,61,62,63,64,65,66,67,128,129,132,133,196],[1,
2,7,8,9,10,11,22,23,24,25,26,27,28,56,61,62,64,65,66,68,130,133,134,197],[1,2,
7,8,9,10,11,22,23,24,25,26,27,28,57,61,62,63,65,66,68,131,132,134,198],[1,2,7,
8,9,10,11,21,22,23,24,25,26,58,61,62,63,64,65,67,128,130,131,199],[1,2,7,8,9,
10,11,20,21,22,23,24,25,26,28,58,60,63,64,65,67,68,69,70,127,128,134,135,136,
200],[1,2,3,5,6,10,13,14,15,20,32,52,83,86,87,88,89,201],[1,2,3,5,6,8,9,11,13,
14,15,16,17,27,32,48,49,50,51,53,54,55,78,79,83,101,102,148,149,150,202],[1,2,
4,5,8,9,11,14,17,18,27,37,41,43,44,48,51,53,75,93,97,98,101,152,203],[1,2,4,6,
8,9,11,15,16,18,27,36,42,45,46,49,50,54,74,92,95,96,102,151,204],[1,2,4,10,11,
18,21,34,73,140,141,142,205],[1,2,4,10,11,18,21,35,72,139,143,144,206],[1,2,5,
6,8,9,11,14,15,16,17,27,31,50,51,71,76,77,137,138,145,207],[1,2,7,9,12,23,56,
208],[1,2,7,8,12,22,57,209],[1,3,5,6,29,30,31,32,112,115,116,210],[1,3,4,5,6,
29,30,31,33,36,103,106,107,110,111,112,117,211],[1,3,4,5,6,29,30,31,33,37,104,
108,109,110,111,112,118,212],[1,3,4,5,6,29,30,33,34,35,36,37,105,106,107,108,
109,110,111,113,114,117,118,213],[1,3,5,6,29,30,31,39,112,119,120,125,126,
214],[1,3,5,6,29,30,31,38,112,121,122,123,124,215],[1,3,4,5,6,29,31,32,33,38,
109,116,122,216],[1,3,4,5,6,29,31,32,33,38,108,116,122,217],[1,3,4,5,6,30,31,
32,33,39,106,115,126,218],[1,3,4,5,6,30,31,32,33,39,107,115,126,219],[1,3,5,6,
30,31,32,39,103,115,126,220],[1,3,5,6,29,31,32,38,104,116,122,221],[1,3,4,6,
30,33,38,39,106,123,124,125,222],[1,3,4,6,30,33,38,39,107,123,124,125,223],[1,
3,4,5,29,33,38,39,109,119,120,121,224],[1,3,4,5,29,33,38,39,108,119,120,121,
225],[1,3,6,30,38,39,103,123,124,125,226],[1,3,5,29,38,39,104,119,120,121,
227],[1,2,5,7,8,9,10,14,20,22,23,24,26,41,60,65,88,90,127,228],[1,2,6,7,8,9,
10,15,20,22,23,24,26,42,60,65,87,91,127,229],[1,2,3,7,8,9,10,13,20,22,23,24,
26,52,60,65,86,89,127,157,230],[1,2,3,7,10,13,20,24,26,28,52,58,60,68,86,99,
136,157,231],[1,2,3,7,10,11,13,20,21,24,25,26,28,52,55,60,67,68,69,70,86,100,
135,157,164,232],[1,2,4,7,8,9,10,11,18,22,23,24,25,26,27,45,46,47,57,61,63,65,
66,94,95,96,132,156,233],[1,2,4,7,8,9,10,11,18,22,23,24,25,26,27,43,44,47,56,
62,64,65,66,94,97,98,133,155,234],[1,2,5,7,8,9,10,11,14,17,22,23,24,25,26,27,
41,48,51,53,56,62,64,65,66,90,93,101,133,153,159,161,235],[1,2,6,7,8,9,10,11,
15,16,22,23,24,25,26,27,42,49,50,54,57,61,63,65,66,91,92,102,132,154,158,160,
236],[1,2,4,7,10,18,20,24,26,28,47,58,60,68,94,136,162,237],[1,2,3,5,6,9,15,
16,17,29,31,32,50,71,77,78,116,138,178,238],[1,2,3,5,6,8,14,16,17,30,31,32,51,
71,76,79,115,137,177,239],[1,2,3,6,10,13,16,30,52,80,103,169,240],[1,2,3,5,10,
13,17,29,52,81,104,168,241],[1,2,3,4,10,13,18,33,52,82,105,170,242],[1,2,3,5,
6,9,13,14,15,16,17,30,31,32,48,50,71,76,77,79,80,83,115,138,148,177,184,243],[
1,2,3,5,6,8,13,14,15,16,17,29,31,32,49,51,71,76,77,78,81,83,116,137,149,178,
185,244],[1,2,3,4,10,13,18,33,34,52,73,82,113,140,181,245],[1,2,3,4,10,13,18,
33,35,52,72,82,114,139,180,246],[1,2,3,4,11,13,18,33,35,55,72,82,114,143,180,
247],[1,2,3,4,11,13,18,33,35,55,72,82,114,144,180,248],[1,2,3,4,11,13,18,33,
34,55,73,82,113,141,181,249],[1,2,3,4,11,13,18,33,34,55,73,82,113,142,181,
250],[1,2,3,5,6,11,15,16,17,29,31,32,54,71,77,78,116,145,178,251],[1,2,3,5,6,
11,14,16,17,30,31,32,53,71,76,79,115,145,177,252],[1,2,3,5,6,11,13,16,17,29,
30,31,55,71,80,81,112,145,179,253],[1,2,3,4,5,11,13,17,18,29,33,37,55,75,81,
82,118,147,182,254],[1,2,3,4,6,11,13,16,18,30,33,36,55,74,80,82,117,146,183,
255],[1,2,5,8,9,11,12,14,17,27,40,41,51,84,93,186,256],[1,2,6,8,9,11,12,15,16,
27,40,42,50,84,92,187,257],[1,2,7,8,9,10,11,20,21,22,23,24,25,26,27,28,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,127,128,129,130,131,132,133,134,135,
136,194,195,196,197,198,199,200,258],[1,2,4,6,7,8,15,22,36,42,45,46,47,49,57,
91,151,154,156,259],[1,2,4,5,7,9,14,23,37,41,43,44,47,48,56,90,152,153,155,
260],[1,2,3,5,6,10,11,13,14,15,20,21,28,32,52,53,54,55,70,83,86,87,88,89,99,
100,150,164,165,166,167,201,261],[1,2,7,8,9,10,11,12,22,23,24,25,26,27,40,57,
61,63,65,66,132,209,262],[1,2,7,8,9,10,11,12,22,23,24,25,26,27,40,56,62,64,65,
66,133,208,263],[1,2,3,5,6,13,14,15,16,17,29,30,31,32,71,76,77,78,79,80,81,83,
112,115,116,177,178,179,184,185,210,264],[1,2,3,4,5,6,13,16,17,18,29,30,31,33,
36,71,74,80,81,82,103,106,107,110,111,112,117,169,173,174,175,176,179,183,211,
265],[1,2,3,4,5,6,13,16,17,18,29,30,31,33,37,71,75,80,81,82,104,108,109,110,
111,112,118,168,171,172,175,176,179,182,212,266],[1,2,3,4,5,6,13,16,17,18,29,
30,33,34,35,36,37,72,73,74,75,80,81,82,105,106,107,108,109,110,111,113,114,
117,118,170,171,172,173,174,175,176,180,181,182,183,213,267],[1,2,3,4,5,6,13,
14,15,17,18,29,31,32,33,38,76,78,81,82,83,109,116,122,172,185,216,268],[1,2,3,
4,5,6,13,14,15,17,18,29,31,32,33,38,76,78,81,82,83,108,116,122,171,185,217,
269],[1,2,3,4,5,6,13,14,15,16,18,30,31,32,33,39,77,79,80,82,83,106,115,126,
174,184,218,270],[1,2,3,4,5,6,13,14,15,16,18,30,31,32,33,39,77,79,80,82,83,
107,115,126,173,184,219,271],[1,2,3,5,6,13,14,15,16,30,31,32,39,77,79,80,83,
103,115,126,169,184,220,272],[1,2,3,5,6,13,14,15,17,29,31,32,38,76,78,81,83,
104,116,122,168,185,221,273],[1,2,4,8,9,11,18,19,27,44,46,85,95,97,274],[1,2,
4,8,9,11,18,19,27,44,45,85,96,97,275],[1,2,4,8,9,11,18,19,27,43,46,85,95,98,
276],[1,2,4,8,9,11,18,19,27,43,45,85,96,98,277],[1,2,4,7,10,18,19,26,47,85,94,
278],[1,2,6,7,8,9,10,11,15,16,20,22,23,24,25,26,27,42,50,56,60,62,64,65,66,87,
91,92,127,131,133,158,195,229,279],[1,2,5,7,8,9,10,11,14,17,20,22,23,24,25,26,
27,41,51,57,60,61,63,65,66,88,90,93,127,130,132,159,194,228,280],[1,2,6,7,8,9,
10,11,15,20,21,22,23,24,25,26,28,42,54,58,60,63,64,65,67,68,69,70,87,91,127,
128,134,135,136,160,165,200,229,281],[1,2,5,7,8,9,10,11,14,20,21,22,23,24,25,
26,28,41,53,58,60,63,64,65,67,68,69,70,88,90,127,128,134,135,136,161,166,200,
228,282],[1,2,6,7,8,9,10,11,15,20,22,23,24,25,26,27,42,49,57,60,61,63,65,66,
87,91,127,130,132,154,194,229,283],[1,2,5,7,8,9,10,11,14,20,22,23,24,25,26,27,
41,48,56,60,62,64,65,66,88,90,127,131,133,153,195,228,284],[1,2,4,7,8,9,10,11,
21,22,23,24,25,26,27,43,44,45,46,47,56,57,58,59,61,62,63,64,65,66,67,128,129,
132,133,155,156,162,163,196,285],[1,2,3,7,8,9,10,11,13,20,21,22,23,24,25,26,
28,52,55,58,60,63,64,65,67,68,69,70,86,89,99,100,127,128,134,135,136,157,164,
167,200,230,231,232,286],[1,2,3,6,10,13,16,20,30,52,80,89,103,169,240,287],[1,
2,3,5,10,13,17,20,29,52,81,89,104,168,241,288],[1,2,3,5,6,8,9,11,13,14,15,16,
17,27,30,31,32,48,50,51,53,71,76,77,79,80,83,101,115,137,138,145,148,177,184,
207,239,243,252,289],[1,2,3,5,6,8,9,11,13,14,15,16,17,27,29,31,32,49,50,51,54,
71,76,77,78,81,83,102,116,137,138,145,149,178,185,207,238,244,251,290],[1,2,3,
4,10,11,13,18,21,33,35,52,55,72,82,100,114,139,143,144,180,206,246,247,248,
291],[1,2,3,4,10,11,13,18,21,33,34,52,55,73,82,100,113,140,141,142,181,205,
245,249,250,292],[1,2,3,4,10,13,18,28,33,52,82,99,105,170,242,293],[1,3,4,5,6,
29,30,31,33,34,35,36,37,103,104,105,106,107,108,109,110,111,112,113,114,117,
118,211,212,213,294],[1,3,4,5,6,29,30,31,32,33,36,39,103,106,107,110,111,112,
115,116,117,119,120,125,126,210,211,214,218,219,220,295],[1,3,4,5,6,29,30,31,
32,33,37,38,104,108,109,110,111,112,115,116,118,121,122,123,124,210,212,215,
216,217,221,296],[1,3,4,5,6,29,30,31,33,36,38,39,103,106,107,110,111,112,117,
119,120,121,122,123,124,125,126,211,214,215,222,223,226,297],[1,3,4,5,6,29,30,
31,33,37,38,39,104,108,109,110,111,112,118,119,120,121,122,123,124,125,126,
212,214,215,224,225,227,298],[1,2,3,5,6,7,8,9,10,13,14,15,20,22,23,24,26,32,
41,42,52,60,65,83,86,87,88,89,90,91,127,157,201,228,229,230,299],[1,2,4,5,7,8,
9,10,11,14,17,18,22,23,24,25,26,27,37,41,43,44,47,48,51,53,56,62,64,65,66,75,
90,93,94,97,98,101,133,152,153,155,159,161,203,234,235,260,300],[1,2,4,6,7,8,
9,10,11,15,16,18,22,23,24,25,26,27,36,42,45,46,47,49,50,54,57,61,63,65,66,74,
91,92,94,95,96,102,132,151,154,156,158,160,204,233,236,259,301],[1,2,3,5,6,9,
13,14,15,16,17,29,30,31,32,48,50,71,76,77,78,79,80,81,83,112,115,116,138,148,
177,178,179,184,185,210,238,243,264,302],[1,2,3,5,6,8,13,14,15,16,17,29,30,31,
32,49,51,71,76,77,78,79,80,81,83,112,115,116,137,149,177,178,179,184,185,210,
239,244,264,303],[1,2,3,4,5,6,8,14,16,17,30,31,32,33,39,46,51,71,76,79,107,
115,126,137,177,219,239,304],[1,2,3,4,5,6,8,14,16,17,30,31,32,33,39,45,51,71,
76,79,106,115,126,137,177,218,239,305],[1,2,3,4,5,6,9,15,16,17,29,31,32,33,38,
43,50,71,77,78,108,116,122,138,178,217,238,306],[1,2,3,4,5,6,9,15,16,17,29,31,
32,33,38,44,50,71,77,78,109,116,122,138,178,216,238,307],[1,2,3,5,6,8,14,16,
17,30,31,32,39,42,51,71,76,79,103,115,126,137,177,220,239,308],[1,2,3,5,6,9,
15,16,17,29,31,32,38,41,50,71,77,78,104,116,122,138,178,221,238,309],[1,2,3,5,
6,11,13,14,15,16,17,29,30,31,32,53,54,55,71,76,77,78,79,80,81,83,112,115,116,
145,150,177,178,179,184,185,210,251,252,253,264,310],[1,2,5,6,8,9,11,12,16,17,
27,31,40,41,42,71,92,93,145,186,187,311],[1,2,4,7,10,12,18,26,35,40,47,72,94,
139,193,312],[1,2,4,7,10,12,18,26,34,40,47,73,94,140,192,313],[1,2,4,5,8,9,11,
12,17,18,27,37,40,41,46,75,93,95,147,186,189,314],[1,2,4,5,8,9,11,12,17,18,27,
37,40,41,45,75,93,96,147,186,188,315],[1,2,4,6,8,9,11,12,16,18,27,36,40,42,43,
74,92,98,146,187,190,316],[1,2,4,6,8,9,11,12,16,18,27,36,40,42,44,74,92,97,
146,187,191,317],[1,2,4,8,9,11,12,18,27,34,40,43,45,73,96,98,141,188,190,
318],[1,2,4,8,9,11,12,18,27,34,40,44,46,73,95,97,142,189,191,319],[1,2,4,8,9,
11,12,18,27,35,40,44,45,72,96,97,143,188,191,320],[1,2,4,8,9,11,12,18,27,35,
40,43,46,72,95,98,144,189,190,321],[1,2,6,7,8,9,10,11,15,16,20,21,22,23,24,25,
26,27,28,42,49,50,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,87,91,92,
102,127,128,129,130,131,132,133,134,135,136,154,158,160,165,194,195,196,197,
198,199,200,229,236,258,279,281,283,322],[1,2,5,7,8,9,10,11,14,17,20,21,22,23,
24,25,26,27,28,41,48,51,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,88,90,
93,101,127,128,129,130,131,132,133,134,135,136,153,159,161,166,194,195,196,
197,198,199,200,228,235,258,280,282,284,323],[1,2,4,7,8,9,10,11,18,20,21,22,
23,24,25,26,27,28,43,44,45,46,47,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
94,95,96,97,98,127,128,129,130,131,132,133,134,135,136,155,156,162,163,194,
195,196,197,198,199,200,233,234,237,258,285,324],[1,3,5,6,12,29,30,31,32,112,
115,116,210,325],[1,2,3,4,5,6,13,16,17,18,29,30,31,33,34,35,36,37,71,72,73,74,
75,80,81,82,103,104,105,106,107,108,109,110,111,112,113,114,117,118,168,169,
170,171,172,173,174,175,176,179,180,181,182,183,211,212,213,265,266,267,294,
326],[1,2,3,4,5,6,13,14,15,16,17,18,29,30,31,32,33,37,38,71,75,76,77,78,79,80,
81,82,83,104,108,109,110,111,112,115,116,118,121,122,123,124,168,171,172,175,
176,177,178,179,182,184,185,210,212,215,216,217,221,264,266,268,269,273,296,
327],[1,2,3,4,5,6,13,14,15,16,17,18,29,30,31,32,33,36,39,71,74,76,77,78,79,80,
81,82,83,103,106,107,110,111,112,115,116,117,119,120,125,126,169,173,174,175,
176,177,178,179,183,184,185,210,211,214,218,219,220,264,265,270,271,272,295,
328],[1,2,3,5,6,7,8,9,10,11,13,14,15,20,21,22,23,24,25,26,28,32,41,42,52,53,
54,55,58,60,63,64,65,67,68,69,70,83,86,87,88,89,90,91,99,100,127,128,134,135,
136,150,157,160,161,164,165,166,167,200,201,228,229,230,231,232,261,281,282,
286,299,329],[1,2,3,5,6,7,8,9,10,11,13,14,15,17,20,22,23,24,25,26,27,32,41,42,
49,51,52,57,60,61,63,65,66,78,83,86,87,88,89,90,91,93,127,130,132,149,154,157,
159,194,201,228,229,230,280,283,299,330],[1,2,3,5,6,7,8,9,10,11,13,14,15,16,
20,22,23,24,25,26,27,32,41,42,48,50,52,56,60,62,64,65,66,79,83,86,87,88,89,90,
91,92,127,131,133,148,153,157,158,195,201,228,229,230,279,284,299,331],[1,2,4,
6,7,8,9,10,11,15,16,18,22,23,24,25,26,27,28,36,42,45,46,47,49,50,54,57,61,62,
63,65,66,68,74,91,92,94,95,96,102,131,132,134,146,151,154,156,158,160,198,204,
233,236,259,301,332],[1,2,4,5,7,8,9,10,11,14,17,18,22,23,24,25,26,27,28,37,41,
43,44,47,48,51,53,56,61,62,64,65,66,68,75,90,93,94,97,98,101,130,133,134,147,
152,153,155,159,161,197,203,234,235,260,300,333],[1,2,3,5,6,8,9,11,13,14,15,
16,17,27,30,31,32,39,42,48,50,51,53,71,76,77,79,80,83,92,101,103,115,126,137,
138,145,148,169,177,184,207,220,239,243,252,272,289,308,334],[1,2,3,5,6,8,9,
11,13,14,15,16,17,27,29,31,32,38,41,49,50,51,54,71,76,77,78,81,83,93,102,104,
116,122,137,138,145,149,168,178,185,207,221,238,244,251,273,290,309,335],[1,2,
3,4,5,6,8,9,11,13,14,15,16,17,18,27,30,31,32,33,39,46,48,50,51,53,71,76,77,79,
80,82,83,95,101,107,115,126,137,138,145,148,173,177,184,207,219,239,243,252,
271,289,304,336],[1,2,3,4,5,6,8,9,11,13,14,15,16,17,18,27,30,31,32,33,39,45,
48,50,51,53,71,76,77,79,80,82,83,96,101,106,115,126,137,138,145,148,174,177,
184,207,218,239,243,252,270,289,305,337],[1,2,3,4,5,6,8,9,11,13,14,15,16,17,
18,27,29,31,32,33,38,44,49,50,51,54,71,76,77,78,81,82,83,97,102,109,116,122,
137,138,145,149,172,178,185,207,216,238,244,251,268,290,307,338],[1,2,3,4,5,6,
8,9,11,13,14,15,16,17,18,27,29,31,32,33,38,43,49,50,51,54,71,76,77,78,81,82,
83,98,102,108,116,122,137,138,145,149,171,178,185,207,217,238,244,251,269,290,
306,339],[1,2,3,5,6,10,13,14,15,16,20,30,31,32,39,52,77,79,80,83,86,87,88,89,
103,115,126,169,184,201,220,240,272,287,340],[1,2,3,5,6,10,13,14,15,17,20,29,
31,32,38,52,76,78,81,83,86,87,88,89,104,116,122,168,185,201,221,241,273,288,
341],[1,2,3,5,6,8,9,11,13,14,15,16,17,27,29,30,31,32,48,49,50,51,53,54,55,71,
76,77,78,79,80,81,83,101,102,112,115,116,137,138,145,148,149,150,177,178,179,
184,185,202,207,210,238,239,243,244,251,252,253,264,289,290,302,303,310,342],[
1,2,5,6,7,8,9,11,12,14,15,16,17,22,23,25,27,31,40,41,42,50,51,66,71,76,77,84,
90,91,92,93,137,138,145,158,159,186,187,207,256,257,311,343],[1,2,4,7,10,11,
12,18,21,26,28,35,40,47,69,72,84,94,139,143,144,193,206,312,344],[1,2,4,7,10,
11,12,18,21,26,28,34,40,47,69,73,84,94,140,141,142,192,205,313,345],[1,3,4,5,
6,29,30,31,32,33,34,35,36,37,38,39,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,294,295,296,297,298,346],[
1,2,3,5,6,12,13,14,15,16,17,29,30,31,32,40,71,76,77,78,79,80,81,83,112,115,
116,177,178,179,184,185,210,264,325,347],[1,2,4,7,8,9,10,11,12,18,21,22,23,24,
25,26,27,40,43,44,45,46,47,56,57,58,59,61,62,63,64,65,66,67,94,97,98,128,129,
132,133,155,156,162,163,188,189,192,193,196,208,234,263,285,348],[1,2,4,7,8,9,
10,11,12,18,21,22,23,24,25,26,27,40,43,44,45,46,47,56,57,58,59,61,62,63,64,65,
66,67,94,95,96,128,129,132,133,155,156,162,163,190,191,192,193,196,209,233,
262,285,349],[1,2,5,7,8,9,10,11,12,14,17,20,22,23,24,25,26,27,40,41,48,51,53,
56,60,62,64,65,66,88,90,93,101,127,131,133,153,159,161,186,195,208,228,235,
263,284,350],[1,2,6,7,8,9,10,11,12,15,16,20,22,23,24,25,26,27,40,42,49,50,54,
57,60,61,63,65,66,87,91,92,102,127,130,132,154,158,160,187,194,209,229,236,
262,283,351],[1,2,3,4,5,6,10,13,16,17,18,29,30,31,33,34,35,36,37,52,71,72,73,
74,75,80,81,82,103,104,105,106,107,108,109,110,111,112,113,114,117,118,139,
140,168,169,170,171,172,173,174,175,176,179,180,181,182,183,211,212,213,240,
241,242,245,246,265,266,267,294,326,352],[1,2,3,4,5,6,11,13,16,17,18,29,30,31,
33,34,35,36,37,55,71,72,73,74,75,80,81,82,103,104,105,106,107,108,109,110,111,
112,113,114,117,118,141,142,143,144,145,146,147,168,169,170,171,172,173,174,
175,176,179,180,181,182,183,211,212,213,247,248,249,250,253,254,255,265,266,
267,294,326,353],[1,2,3,4,5,6,8,13,14,15,16,17,29,30,31,32,33,36,39,42,45,46,
49,51,71,76,77,78,79,80,81,83,103,106,107,110,111,112,115,116,117,119,120,125,
126,137,149,151,177,178,179,184,185,210,211,214,218,219,220,239,244,264,295,
303,304,305,308,354],[1,2,3,4,5,6,9,13,14,15,16,17,29,30,31,32,33,37,38,41,43,
44,48,50,71,76,77,78,79,80,81,83,104,108,109,110,111,112,115,116,118,121,122,
123,124,138,148,152,177,178,179,184,185,210,212,215,216,217,221,238,243,264,
296,302,306,307,309,355],[1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,20,21,22,23,24,
25,26,27,28,32,41,42,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,78,79,83,86,87,88,89,90,91,92,93,99,100,101,102,127,128,129,130,
131,132,133,134,135,136,148,149,150,153,154,157,158,159,160,161,164,165,166,
167,194,195,196,197,198,199,200,201,202,228,229,230,231,232,235,236,258,261,
279,280,281,282,283,284,286,299,322,323,329,330,331,356],[1,2,3,4,5,6,13,14,
15,16,17,18,29,30,31,32,33,34,35,36,37,38,39,71,72,73,74,75,76,77,78,79,80,81,
82,83,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,264,265,266,267,268,269,270,271,272,273,294,295,296,297,298,
326,327,328,346,357],[1,2,3,4,5,6,10,13,16,17,18,20,29,30,31,33,34,35,36,37,
52,71,72,73,74,75,80,81,82,89,103,104,105,106,107,108,109,110,111,112,113,114,
117,118,139,140,168,169,170,171,172,173,174,175,176,179,180,181,182,183,211,
212,213,240,241,242,245,246,265,266,267,287,288,294,326,352,358],[1,2,3,4,5,6,
10,13,16,17,18,28,29,30,31,33,34,35,36,37,52,71,72,73,74,75,80,81,82,99,103,
104,105,106,107,108,109,110,111,112,113,114,117,118,139,140,168,169,170,171,
172,173,174,175,176,179,180,181,182,183,211,212,213,240,241,242,245,246,265,
266,267,293,294,326,352,359],[1,2,3,4,5,6,10,11,13,16,17,18,21,29,30,31,33,34,
35,36,37,52,55,71,72,73,74,75,80,81,82,100,103,104,105,106,107,108,109,110,
111,112,113,114,117,118,139,140,141,142,143,144,145,146,147,168,169,170,171,
172,173,174,175,176,179,180,181,182,183,205,206,211,212,213,240,241,242,245,
246,247,248,249,250,253,254,255,265,266,267,291,292,294,326,352,353,360],[1,2,
3,4,5,6,8,9,11,13,14,15,16,17,18,27,29,30,31,32,33,37,38,41,43,44,48,49,50,51,
53,54,55,71,75,76,77,78,79,80,81,82,83,93,97,98,101,102,104,108,109,110,111,
112,115,116,118,121,122,123,124,137,138,145,148,149,150,152,168,171,172,175,
176,177,178,179,182,184,185,202,203,207,210,212,215,216,217,221,238,239,243,
244,251,252,253,264,266,268,269,273,289,290,296,302,303,306,307,309,310,327,
335,338,339,342,355,361],[1,2,3,4,5,6,8,9,11,13,14,15,16,17,18,27,29,30,31,32,
33,36,39,42,45,46,48,49,50,51,53,54,55,71,74,76,77,78,79,80,81,82,83,92,95,96,
101,102,103,106,107,110,111,112,115,116,117,119,120,125,126,137,138,145,148,
149,150,151,169,173,174,175,176,177,178,179,183,184,185,202,204,207,210,211,
214,218,219,220,238,239,243,244,251,252,253,264,265,270,271,272,289,290,295,
302,303,304,305,308,310,328,334,336,337,342,354,362],[1,2,4,6,8,9,11,12,15,16,
18,19,27,36,40,42,43,45,46,49,50,54,74,84,85,92,95,96,98,102,146,151,187,190,
204,257,276,277,316,363],[1,2,4,6,8,9,11,12,15,16,18,19,27,36,40,42,44,45,46,
49,50,54,74,84,85,92,95,96,97,102,146,151,187,191,204,257,274,275,317,364],[1,
2,4,5,8,9,11,12,14,17,18,19,27,37,40,41,43,44,45,48,51,53,75,84,85,93,96,97,
98,101,147,152,186,188,203,256,275,277,315,365],[1,2,4,5,8,9,11,12,14,17,18,
19,27,37,40,41,43,44,46,48,51,53,75,84,85,93,95,97,98,101,147,152,186,189,203,
256,274,276,314,366],[1,2,3,4,5,6,11,13,14,15,16,17,18,29,30,31,32,33,34,35,
36,37,38,39,53,54,55,71,72,73,74,75,76,77,78,79,80,81,82,83,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,141,142,143,144,145,146,147,150,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,226,227,247,248,249,250,251,252,253,254,255,264,265,266,
267,268,269,270,271,272,273,294,295,296,297,298,310,326,327,328,346,353,357,
367],[1,2,3,4,5,6,10,11,13,16,17,18,20,21,28,29,30,31,33,34,35,36,37,52,55,70,
71,72,73,74,75,80,81,82,89,99,100,103,104,105,106,107,108,109,110,111,112,113,
114,117,118,139,140,141,142,143,144,145,146,147,167,168,169,170,171,172,173,
174,175,176,179,180,181,182,183,205,206,211,212,213,240,241,242,245,246,247,
248,249,250,253,254,255,265,266,267,287,288,291,292,293,294,326,352,353,358,
359,360,368],[1,2,3,4,5,6,9,12,13,14,15,16,17,18,29,30,31,32,33,37,38,40,41,
43,44,48,50,71,75,76,77,78,79,80,81,82,83,104,108,109,110,111,112,115,116,118,
121,122,123,124,138,148,152,168,171,172,175,176,177,178,179,182,184,185,186,
190,191,210,212,215,216,217,221,238,243,264,266,268,269,273,296,302,306,307,
309,325,327,347,355,369],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,29,30,31,32,33,
36,39,40,42,45,46,49,51,71,74,76,77,78,79,80,81,82,83,103,106,107,110,111,112,
115,116,117,119,120,125,126,137,149,151,169,173,174,175,176,177,178,179,183,
184,185,187,188,189,210,211,214,218,219,220,239,244,264,265,270,271,272,295,
303,304,305,308,325,328,347,354,370],[1,2,4,5,7,8,9,10,11,12,14,17,18,20,21,
22,23,24,25,26,27,28,37,40,41,43,44,45,46,47,48,51,53,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,75,88,90,93,94,95,96,97,98,101,127,128,129,130,131,132,
133,134,135,136,147,152,153,155,156,159,161,162,163,166,186,188,189,192,193,
194,195,196,197,198,199,200,203,208,228,233,234,235,237,258,260,263,280,282,
284,285,300,314,315,323,324,333,348,350,371],[1,2,4,6,7,8,9,10,11,12,15,16,18,
20,21,22,23,24,25,26,27,28,36,40,42,43,44,45,46,47,49,50,54,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,74,87,91,92,94,95,96,97,98,102,127,128,129,130,131,
132,133,134,135,136,146,151,154,155,156,158,160,162,163,165,187,190,191,192,
193,194,195,196,197,198,199,200,204,209,229,233,234,236,237,258,259,262,279,
281,283,285,301,316,317,322,324,332,349,351,372],[1,2,3,4,5,6,10,13,14,15,16,
17,18,20,29,30,31,32,33,34,35,36,37,38,39,52,71,72,73,74,75,76,77,78,79,80,81,
82,83,86,87,88,89,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,139,140,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,201,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,226,227,240,241,242,245,246,264,265,266,267,
268,269,270,271,272,273,287,288,294,295,296,297,298,326,327,328,340,341,346,
352,357,358,373],[1,2,3,4,7,10,13,18,19,20,24,26,28,33,47,52,58,60,68,82,85,
86,94,99,105,136,157,162,170,231,237,242,278,293,374],[1,2,3,4,5,6,10,11,13,
14,15,16,17,18,20,21,28,29,30,31,32,33,34,35,36,37,38,39,52,53,54,55,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,86,87,88,89,99,100,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,139,
140,141,142,143,144,145,146,147,150,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,201,205,206,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,240,241,242,245,246,
247,248,249,250,251,252,253,254,255,261,264,265,266,267,268,269,270,271,272,
273,287,288,291,292,293,294,295,296,297,298,310,326,327,328,340,341,346,352,
353,357,358,359,360,367,368,373,375],[1,2,4,7,8,9,10,11,12,18,19,21,22,23,24,
25,26,27,35,40,43,44,45,46,47,56,57,58,59,61,62,63,64,65,66,67,72,85,94,95,96,
97,98,128,129,132,133,139,143,144,155,156,162,163,188,189,190,191,192,193,196,
206,208,209,233,234,262,263,275,276,278,285,312,320,321,348,349,376],[1,2,4,7,
8,9,10,11,12,18,19,21,22,23,24,25,26,27,34,40,43,44,45,46,47,56,57,58,59,61,
62,63,64,65,66,67,73,85,94,95,96,97,98,128,129,132,133,140,141,142,155,156,
162,163,188,189,190,191,192,193,196,205,208,209,233,234,262,263,274,277,278,
285,313,318,319,348,349,377],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,22,
23,24,25,26,27,30,31,32,39,40,41,42,48,50,51,52,53,56,60,62,64,65,66,71,76,77,
79,80,83,84,86,87,88,89,90,91,92,93,101,103,115,126,127,131,133,137,138,145,
148,153,157,158,159,161,169,177,184,186,187,195,201,207,208,220,228,229,230,
235,239,240,243,252,256,257,263,272,279,284,287,289,299,308,311,331,334,340,
343,350,378],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,22,23,24,25,26,27,29,
31,32,38,40,41,42,49,50,51,52,54,57,60,61,63,65,66,71,76,77,78,81,83,84,86,87,
88,89,90,91,92,93,102,104,116,122,127,130,132,137,138,145,149,154,157,158,159,
160,168,178,185,186,187,194,201,207,209,221,228,229,230,236,238,241,244,251,
256,257,262,273,280,283,288,290,299,309,311,330,335,341,343,351,379],[1,2,3,4,
5,6,8,9,11,12,13,14,15,16,17,18,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,48,49,50,51,53,54,55,71,72,73,74,75,76,77,78,79,80,81,82,83,92,93,
95,96,97,98,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,137,138,141,142,143,144,145,146,147,
148,149,150,151,152,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,202,203,204,207,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,238,239,243,244,247,248,
249,250,251,252,253,254,255,264,265,266,267,268,269,270,271,272,273,289,290,
294,295,296,297,298,302,303,304,305,306,307,308,309,310,311,314,315,316,317,
318,319,320,321,325,326,327,328,334,335,336,337,338,339,342,346,347,353,354,
355,357,361,362,367,369,370,380],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[1,1,1],[
1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,1,3,
1],[1,1,1,2,1],[1,7,3,4,1],[1,7,3,4,1],[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],[1,1,3,1],[1,1,3,1],[1,2,2,1],[1,2,1,1,1],[1,1,3,1],[1,4,
1],[1,4,1],[1,2,2,1],[1,2,2,1],[1,1,1],[1,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[
1,3,1,1,3,1],[1,7,1,3,1,2,1],[1,7,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,
1,3,1,1],[1,1,1,3,1,1],[1,15,15,20,15,1],[1,15,15,20,15,1],[1,3,1,6,3,1],[1,3,
1,6,3,1],[1,7,3,4,1,3,3,1],[1,7,3,4,4,1,2,1],[1,7,3,4,4,1,2,1],[1,7,3,4,2,2,1,
1,1,1],[1,7,3,4,2,2,1,1,1,1],[1,11,5,4,4,2,1,1,1,4,1],[1,11,5,4,4,2,1,1,1,4,
1],[1,3,1,2,4,4,1,2,1],[1,3,1,2,1,2,1],[1,5,2,1,2,1,1,1,1],[1,1,3,2,1,1,1,1],[
1,9,2,2,6,6,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,
1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,3,2,1,1,3,1,1,
1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,1,2,1,1,2,1,1,1,
1],[1,5,5,1,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,
1,1,3,1,1,3,1],[1,7,4,3,4,4,1,1,1],[1,7,4,3,4,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[
1,9,4,3,1,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,
3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,
6,1,3,1,2,1],[1,9,1,3,1,3,3,2,3,1,1,1,1],[1,9,1,1,3,3,3,2,3,1,1,1,1],[1,1,12,
4,1],[1,1,12,4,1],[1,1,12,4,1],[1,1,9,3,1,3,1],[1,1,9,3,1,3,1],[1,1,9,3,1,3,
1],[1,1,9,3,1,3,1],[1,1,6,3,3,1,1,2,1],[1,1,6,3,3,1,1,2,1],[1,1,6,6,2,2,9,1],[
1,1,12,4,9,1],[1,1,12,4,9,1],[1,4,3,6,4,3,6,1],[1,4,6,3,4,3,6,1],[1,1,6,6,2,2,
9,1],[1,1,6,6,2,2,9,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,
1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,19,9,12,12,6,2,
3,3,9,18,6,9,1],[1,11,5,4,4,6,4,4,1,1,3,2,4,1,2,2,1,1,1],[1,11,5,4,4,2,8,4,1,
1,1,4,4,1,1,1,1,1,1,1,1],[1,11,5,4,4,2,8,1,1,1,4,4,2,1,1],[1,11,5,4,4,2,8,1,1,
1,4,4,2,1,1],[1,19,17,20,4,2,4,15,1,1,2,4,8,1,1,2,1,2,1],[1,19,17,4,20,2,4,1,
15,1,2,4,8,1,1,2,1,2,1],[1,11,5,4,4,2,1,1,1,4,4,1,2,1],[1,7,3,4,4,1,4,3,2,3,2,
1,1,1,2,2,1],[1,7,3,8,1,5,3,2,1,1,1,1],[1,15,2,2,9,6,6,8,1,6,1,2,1],[1,15,2,2,
9,6,8,6,1,6,1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[
1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,2,2,9,6,6,1,1,
1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,7,2,1,1,3,2,7,1,2,1,3,1,2,1,
1],[1,7,2,1,1,3,2,1,7,2,1,3,1,2,1,1],[1,1,2,1,1,9,2,1,1,1,3,3,6,1,1],[1,3,8,5,
1,3,4,1,1,1,1,1],[1,3,8,5,1,3,4,1,1,1,1,1],[1,15,4,15,20,12,15,1,4,1,3,1],[1,
15,4,15,20,12,15,1,4,1,3,1],[1,15,16,15,20,15,4,4,12,1,1],[1,15,16,15,20,15,4,
4,12,1,1],[1,7,4,3,4,4,1,3,3,4,1,1,1],[1,19,4,9,4,12,6,4,8,1,3,3,12,1,4,3,1,2,
1],[1,19,4,9,12,4,6,4,8,3,1,3,12,1,4,3,1,2,1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,
1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,
1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,6,4,1,3,3,
4,3,1,1],[1,1,1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,
9,12,4,12,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,9,3,9,3,9,1,3,3,9,1,1],[1,9,1,
9,3,9,3,9,1,3,3,9,1,1],[1,9,1,9,3,9,3,9,1,3,3,9,1,1],[1,9,1,9,3,9,3,9,1,3,3,9,
1,1],[1,9,1,6,3,3,9,3,3,6,1,1,2,3,3,6,1,1],[1,9,1,6,3,3,9,3,3,6,1,1,2,3,3,6,1,
1],[1,9,4,3,6,9,6,6,4,3,6,1,6,6,1,1],[1,9,4,6,3,9,6,6,4,3,6,1,6,6,1,1],[1,9,1,
6,6,9,6,6,2,2,9,1,6,6,1,1],[1,9,1,12,9,12,4,9,1,12,1,1],[1,9,1,12,9,12,4,9,1,
12,1,1],[1,9,1,6,6,9,6,6,2,2,9,1,6,6,1,1],[1,9,1,6,6,9,6,6,2,2,9,1,6,6,1,1],[
1,3,4,3,6,6,3,3,1,4,3,6,1,1,2,3,1,1],[1,3,4,6,3,6,3,3,1,4,3,6,1,1,2,3,1,1],[1,
15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,
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],[1,27,21,28,12,6,12,2,17,3,9,6,18,24,1,6,3,6,9,6,1,
3,3,1],[1,27,21,12,28,6,12,2,3,17,9,6,18,24,1,6,3,6,9,6,1,3,3,1],[1,27,29,20,
20,6,12,12,15,15,3,6,12,24,1,1,1,2,3,3,6,6,3,6,3,3,6,3,3,1],[1,19,17,4,20,2,
12,1,15,1,6,4,8,4,1,2,1,2,1,2,2,1,1,1,1],[1,19,17,20,4,2,12,15,1,1,6,4,8,4,1,
1,2,2,1,2,2,1,1,1,1],[1,11,5,4,4,6,20,4,1,1,3,10,4,1,2,2,2,2,1,1,1,1,1,1],[1,
19,9,12,12,10,4,2,4,3,3,11,2,18,4,1,6,2,2,9,1,2,4,4,1,1,1,2,2,1],[1,1,5,4,4,3,
5,4,4,1,4,3,4,1,1,1,1,1],[1,13,2,1,1,3,3,9,2,7,7,2,2,9,1,3,3,1,1,3,3,6,2,2,1,
3,3,1,1,1,1],[1,21,8,5,9,1,9,3,18,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,21,8,5,
1,9,9,3,18,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,9,4,9,18,12,9,1,1,1,1,1,1],[1,
9,4,9,18,12,9,1,1,1,1,1,1],[1,21,2,2,9,9,9,6,6,8,8,9,1,6,6,1,2,2,1,1,1,1],[1,
15,15,20,16,15,1,1],[1,15,15,20,16,15,1,1],[1,10,15,15,20,20,45,45,10,15,15,
1],[1,1,18,6,15,2,5,9,6,27,1,1,1,3,3,1,3,1],[1,1,18,15,6,5,2,9,6,27,1,1,1,3,3,
1,3,1],[1,1,27,6,6,2,2,9,9,9,9,9,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,6,6,2,2,9,9,1,
3,3,3,3,1],[1,1,6,6,2,2,9,9,1,3,3,3,3,1],[1,4,9,6,3,4,3,6,3,6,1,1,2,1],[1,4,9,
6,3,4,3,6,3,6,1,1,2,1],[1,4,9,3,6,4,3,6,3,6,1,1,2,1],[1,4,9,3,6,4,3,6,3,6,1,1,
2,1],[1,4,3,15,7,3,6,6,1,1,2,1],[1,4,15,3,7,3,6,6,1,1,2,1],[1,1,9,3,1,3,6,3,1,
1,1,1,1],[1,1,9,3,1,3,6,3,1,1,1,1,1],[1,1,9,3,1,3,3,6,1,1,1,1,1],[1,1,9,3,1,3,
3,6,1,1,1,1,1],[1,1,12,4,6,3,1,1,1,1,1],[1,1,12,4,3,6,1,1,1,1,1],[1,19,16,9,
12,12,6,16,2,3,3,9,18,12,6,9,8,12,1,1],[1,19,16,9,12,12,6,16,2,3,3,9,18,12,6,
9,8,12,1,1],[1,19,4,9,12,12,6,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,7,4,3,16,4,1,
9,3,6,4,3,1,3,1,4,3,1,1],[1,7,4,3,4,12,4,1,12,3,6,3,6,4,8,1,3,3,6,6,1,4,3,1,2,
1],[1,27,16,21,20,12,6,12,16,15,3,3,6,12,24,4,4,12,1,3,6,3,6,4,4,4,3,1,1],[1,
27,16,21,12,20,6,12,16,3,15,3,6,12,24,4,4,12,1,3,6,3,6,4,4,4,3,1,1],[1,27,4,
21,12,20,6,12,12,8,3,15,3,6,12,24,1,4,4,4,1,3,6,3,6,3,2,4,3,1,1,1,1],[1,27,4,
21,20,12,6,12,12,8,15,3,3,6,12,24,1,4,4,4,1,3,6,3,6,3,2,4,3,1,1,1,1],[1,15,16,
7,12,16,3,9,9,6,4,1,3,3,4,3,1,1],[1,27,4,6,3,27,27,18,18,4,3,6,27,3,18,18,1,9,
3,1],[1,27,4,3,6,27,27,18,18,4,3,6,27,3,18,18,1,9,3,1],[1,9,1,12,9,9,12,4,9,
12,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,15,
4,3,6,9,12,15,6,8,6,4,3,6,9,6,1,6,2,8,4,6,1,1,6,1,2,1],[1,15,4,6,3,9,12,6,15,
6,8,4,3,6,9,6,1,2,6,8,4,6,1,1,6,1,2,1],[1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[
1,9,1,12,9,9,12,4,9,9,1,12,1,1,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,
9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,
1,12,27,9,12,4,9,9,1,12,1,3,1,1],[1,9,4,6,3,27,9,6,6,4,3,6,9,1,6,6,1,3,1,1],[
1,9,4,3,6,27,9,6,6,4,3,6,9,1,6,6,1,3,1,1],[1,9,1,6,6,27,9,6,6,2,2,9,9,1,6,6,1,
3,1,1],[1,9,1,6,6,27,9,6,6,2,2,9,9,1,6,6,1,3,1,1],[1,9,1,6,6,27,9,6,6,2,2,9,9,
1,6,6,1,3,1,1],[1,25,10,15,5,15,6,10,20,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,
10,20,15,6,5,10,6,5,1,1],[1,35,33,28,28,10,28,2,12,17,17,11,14,26,56,4,1,1,1,
2,6,5,5,10,10,11,14,3,2,4,4,1,3,6,3,3,5,5,1,2,2,1,1,1,1,1,1,1,1],[1,15,32,8,
15,20,24,15,16,2,8,8,24,8,1,6,8,2,2,1],[1,15,32,8,15,20,24,15,16,2,8,8,24,8,1,
6,8,2,2,1],[1,1,5,4,4,3,18,5,4,4,1,9,9,4,3,12,12,18,9,4,1,1,1,1,3,3,4,3,3,3,3,
1,1],[1,35,25,20,20,10,20,16,15,5,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,35,25,
20,20,10,20,16,5,15,5,10,20,40,16,1,5,10,5,10,5,1,1],[1,9,10,15,15,18,9,9,6,6,
20,20,45,45,1,6,6,6,6,12,12,9,10,15,15,1,1,2,6,6,1,1],[1,27,1,18,6,15,27,45,
18,54,2,5,9,6,27,3,9,45,18,54,1,1,1,3,3,1,3,3,3,3,9,9,3,9,1,1],[1,27,1,18,15,
6,27,18,45,54,5,2,9,6,27,3,9,18,45,54,1,1,1,3,3,1,3,3,3,3,9,9,3,9,1,1],[1,27,
1,27,6,6,27,18,18,81,2,2,9,9,9,9,9,3,3,3,3,18,18,81,1,1,1,1,1,2,2,1,1,1,1,3,3,
3,3,3,6,6,3,3,3,3,1,1],[1,9,4,9,6,3,18,9,9,3,9,4,3,6,3,6,3,3,6,9,9,1,1,2,1,3,
1,1],[1,9,4,9,6,3,18,9,9,3,9,4,3,6,3,6,3,3,6,9,9,1,1,2,1,3,1,1],[1,9,4,9,3,6,
18,9,9,3,9,4,3,6,3,6,3,3,6,9,9,1,1,2,1,3,1,1],[1,9,4,9,3,6,18,9,9,3,9,4,3,6,3,
6,3,3,6,9,9,1,1,2,1,3,1,1],[1,9,4,3,15,18,9,9,12,7,3,6,6,3,3,15,9,1,1,2,1,3,1,
1],[1,9,4,15,3,18,9,9,12,7,3,6,6,3,3,15,9,1,1,2,1,3,1,1],[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],[1,21,28,14,21,28,8,21,14,8,
14,1],[1,43,16,45,12,60,6,36,16,32,2,3,45,9,18,18,72,12,16,3,6,9,18,9,18,8,12,
24,1,9,9,12,3,1,1],[1,43,16,45,60,12,6,36,16,32,2,45,3,9,18,18,72,12,16,3,6,9,
18,9,18,8,12,24,1,9,9,12,3,1,1],[1,19,16,9,12,12,18,12,16,2,12,3,3,15,6,18,12,
12,16,3,6,6,6,9,3,6,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,19,16,9,12,12,18,12,16,
2,12,3,3,15,6,18,12,12,16,3,6,6,6,9,3,6,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,27,
16,21,28,12,6,12,48,2,17,3,9,6,18,24,12,16,1,6,3,6,9,6,8,20,1,3,3,4,1,1,1],[1,
27,16,21,12,28,6,12,48,2,3,17,9,6,18,24,12,16,1,6,3,6,9,6,8,20,1,3,3,4,1,1,
1],[1,27,64,29,20,20,6,12,12,15,15,3,6,12,24,16,16,16,16,80,1,1,1,2,3,3,6,6,3,
6,3,3,6,3,3,4,4,4,8,1,1],[1,19,4,9,12,12,18,12,4,2,12,3,3,15,6,18,12,12,8,3,6,
6,6,9,3,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,9,1,12,27,9,12,9,4,27,
12,9,1,1,3,1],[1,9,1,12,27,9,12,9,4,27,12,9,1,1,3,1],[1,33,4,3,6,27,9,27,12,
33,6,20,18,27,4,3,6,9,6,27,9,3,18,2,20,4,6,9,1,9,1,3,6,3,2,3,1,1,1,1],[1,33,4,
6,3,9,27,27,12,6,33,18,20,27,4,3,6,9,27,6,9,3,2,18,20,4,6,9,1,1,9,3,6,3,2,3,1,
1,1,1],[1,9,1,12,9,54,9,12,27,4,9,9,18,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,
9,54,9,12,27,4,9,9,18,1,12,9,1,1,3,3,1,3,1,1,1,1],[1,9,1,12,9,9,12,27,4,9,12,
9,1,1,1,1],[1,1,72,24,24,8,8,36,24,54,54,108,108,2,2,6,8,8,8,8,24,24,4,6,6,12,
12,8,8,24,1],[1,10,18,15,24,20,23,45,45,6,27,18,1,1,1,3,3,10,15,15,3,6,6,6,6,
1,1,2,3,3,3,1],[1,10,18,24,15,23,20,45,45,6,27,18,1,1,1,3,3,10,15,15,3,6,6,6,
6,1,1,2,3,3,3,1],[1,1,18,6,15,2,5,9,6,27,18,9,1,1,1,3,3,1,3,3,3,6,6,6,6,3,3,1,
1,2,3,3,3,1],[1,1,18,15,6,5,2,9,6,27,9,18,1,1,1,3,3,1,3,6,6,3,3,3,3,6,6,1,2,1,
3,3,3,1],[1,19,8,16,16,9,12,12,6,8,16,16,2,3,3,9,18,16,12,12,24,6,9,16,2,8,8,
8,12,12,1,6,8,1,1,2,1],[1,51,32,8,33,36,20,18,36,24,48,96,9,15,9,18,36,72,16,
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],[1,51,
32,8,33,20,36,18,36,24,48,96,15,9,9,18,36,72,16,2,8,8,24,8,24,24,1,9,18,9,18,
16,6,12,24,24,24,24,9,8,2,2,6,6,8,6,6,1,1],[1,27,10,15,15,27,54,27,27,18,18,
20,20,45,45,27,27,3,18,18,18,18,36,36,27,10,15,15,9,27,3,3,6,18,18,1,1,9,3,
1],[1,27,10,15,15,27,54,27,27,18,18,20,20,45,45,27,27,3,18,18,18,18,36,36,27,
10,15,15,9,27,3,3,6,18,18,1,1,9,3,1],[1,27,4,36,3,6,27,27,18,18,4,3,6,12,24,
27,27,3,18,18,4,1,8,9,3,4,1,1],[1,27,4,36,3,6,27,27,18,18,4,3,6,12,24,27,27,3,
18,18,4,1,8,9,3,4,1,1],[1,27,4,36,6,3,27,27,18,18,4,3,6,12,24,27,27,3,18,18,4,
1,8,9,3,4,1,1],[1,27,4,36,6,3,27,27,18,18,4,3,6,12,24,27,27,3,18,18,4,1,8,9,3,
4,1,1],[1,27,4,3,42,27,27,18,18,16,3,6,24,27,27,3,18,18,4,1,8,9,3,4,1,1],[1,
27,4,42,3,27,27,18,18,16,3,6,24,27,27,3,18,18,4,1,8,9,3,4,1,1],[1,9,10,15,15,
81,18,9,9,6,6,20,20,45,45,27,27,54,1,6,6,6,6,12,12,9,10,15,15,9,9,1,1,2,6,6,1,
3,3,6,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,
45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,45,40,30,45,36,120,45,10,36,
30,10,30,10,12,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,
6,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,
20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,20,20,15,15,45,
36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[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],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,15,
15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,51,16,57,28,60,18,60,48,32,
2,36,17,45,15,30,42,120,12,12,16,16,16,3,1,3,6,6,9,15,18,30,15,30,9,6,12,12,8,
20,24,16,1,9,18,3,9,9,15,3,6,6,4,12,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,16,
57,60,28,18,60,48,32,2,36,45,17,15,30,42,120,12,12,16,16,16,1,3,3,6,6,15,9,30,
18,15,30,9,6,12,12,8,20,24,16,1,9,18,9,3,15,9,3,6,6,4,12,4,8,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,51,64,41,44,44,18,60,64,6,12,21,21,27,30,54,120,12,16,16,16,
16,80,1,1,1,2,18,9,9,18,18,27,30,3,6,12,12,16,16,16,16,16,3,3,6,9,9,9,9,3,6,6,
4,4,4,8,3,3,1,3,3,3,3,4,4,4,3,1,1],[1,10,15,15,81,20,20,45,45,10,15,15,1,1],[
1,81,1,72,24,24,81,216,216,648,8,8,36,24,54,54,108,108,36,54,54,108,108,216,
216,648,2,2,6,8,8,8,8,24,24,4,6,6,12,12,18,18,54,72,72,72,72,216,216,36,54,54,
108,108,8,8,24,24,24,72,1,1],[1,27,10,18,24,15,54,27,27,18,45,54,23,20,45,45,
6,27,18,3,9,18,18,18,18,36,63,54,27,1,1,1,3,3,10,15,15,3,6,6,6,6,3,3,3,9,9,3,
3,6,9,18,18,1,1,2,3,3,3,3,1,3,3,3,1,1],[1,27,10,18,15,24,54,27,27,45,18,54,20,
23,45,45,6,27,18,3,9,18,18,18,18,63,36,54,27,1,1,1,3,3,10,15,15,3,6,6,6,6,3,3,
3,9,9,3,3,6,9,18,18,1,1,2,3,3,3,3,1,3,3,3,1,1],[1,19,8,16,16,9,12,12,42,36,8,
16,16,2,36,3,3,27,18,18,36,16,12,12,24,48,48,48,9,6,18,18,9,9,18,36,36,16,2,8,
8,8,12,12,24,24,1,9,9,18,18,16,6,12,12,12,24,24,24,9,8,1,1,2,6,6,8,3,3,6,1,
1],[1,43,8,16,16,45,60,12,6,36,8,16,112,32,2,45,3,9,18,18,72,16,12,12,48,16,
24,3,6,9,18,9,18,32,16,2,8,8,8,12,36,24,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[
1,43,8,16,16,45,12,60,6,36,8,112,16,32,2,3,45,9,18,18,72,16,12,12,48,16,24,3,
6,9,18,9,18,32,16,2,8,8,8,36,12,24,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,51,
32,8,33,20,36,18,108,24,48,96,15,9,9,54,36,72,36,16,2,8,8,24,8,24,24,1,9,18,
18,9,18,18,16,6,12,24,24,24,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,51,32,8,
33,36,20,18,108,24,48,96,9,15,9,54,36,72,36,16,2,8,8,24,8,24,24,1,18,9,18,9,
18,18,16,6,12,24,24,24,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,45,4,3,42,27,
27,81,36,45,18,60,18,81,16,3,6,24,27,27,18,27,27,3,18,6,24,48,18,27,27,4,1,8,
9,3,9,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,45,4,42,3,27,27,81,36,18,45,18,60,81,16,
3,6,24,27,27,27,18,27,3,6,18,24,48,18,27,27,4,1,8,3,9,9,18,4,3,6,9,4,1,3,3,4,
3,1,1],[1,45,4,36,3,6,27,27,81,36,45,18,24,18,36,81,4,3,6,12,24,27,27,18,27,
27,3,18,6,24,12,36,18,27,27,4,1,8,9,3,9,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,45,4,
36,3,6,27,27,81,36,45,18,24,18,36,81,4,3,6,12,24,27,27,18,27,27,3,18,6,24,12,
36,18,27,27,4,1,8,9,3,9,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,45,4,36,6,3,27,27,81,
36,18,45,18,24,36,81,4,3,6,12,24,27,27,27,18,27,3,6,18,24,12,36,18,27,27,4,1,
8,3,9,9,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,45,4,36,6,3,27,27,81,36,18,45,18,24,36,
81,4,3,6,12,24,27,27,27,18,27,3,6,18,24,12,36,18,27,27,4,1,8,3,9,9,18,4,3,6,9,
4,1,3,3,4,3,1,1],[1,9,13,12,24,27,45,36,36,12,9,16,12,24,24,27,12,12,24,36,9,
9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,13,24,12,27,45,36,36,12,9,16,12,24,24,27,
12,12,24,36,9,9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,45,10,15,15,27,27,81,90,45,45,
30,30,81,20,20,45,45,27,27,27,27,27,27,54,5,30,30,30,30,60,60,45,27,27,10,15,
15,9,9,9,27,27,9,5,5,10,30,30,9,9,1,1,1,9,9,3,3,6,5,3,3,1,1,1,1],[1,75,20,20,
45,60,60,90,36,60,60,80,80,15,15,45,180,10,36,15,15,60,60,45,10,20,20,36,15,
15,30,30,10,10,10,15,15,6,6,10,6,6,1,1],[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],[1,45,40,30,45,90,36,120,45,45,45,10,36,
30,45,10,36,30,10,10,10,12,10,1,1],[1,10,72,33,33,26,26,72,45,24,54,54,108,
108,36,36,2,2,6,8,8,8,8,24,24,13,6,6,15,15,12,12,12,12,12,12,12,12,12,12,1,8,
8,24,4,4,6,6,6,6,6,6,12,12,12,12,12,12,1,2,2,4,4,1],[1,45,10,15,15,81,90,45,
45,30,30,20,20,45,45,81,5,30,30,30,30,60,60,45,10,15,15,5,5,10,30,30,1,5,1,
1],[1,75,160,85,100,20,30,60,96,160,60,75,15,15,30,60,120,96,40,40,80,80,280,
1,5,5,10,15,15,30,30,15,30,15,40,40,40,15,30,15,15,10,20,20,40,16,16,16,16,5,
6,10,6,5,1],[1,75,160,85,20,100,30,60,96,160,60,15,75,15,30,60,120,96,80,80,
40,40,280,5,1,5,10,15,15,30,30,15,30,15,40,40,40,15,30,15,15,20,10,20,40,16,
16,16,16,5,6,10,6,5,1],[1,75,40,45,60,60,30,60,96,120,80,10,15,25,45,30,90,
120,96,50,40,40,40,1,30,15,30,45,30,40,70,20,40,5,15,15,10,10,10,16,5,6,5,10,
6,5,1],[1,75,40,45,60,60,30,60,96,120,80,10,25,15,45,30,90,120,96,50,40,40,40,
1,30,15,30,45,30,40,70,20,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,81,1,72,
24,24,81,81,216,216,648,8,8,36,24,54,54,108,108,81,36,54,54,108,108,216,216,
648,2,2,6,8,8,8,8,24,24,4,6,6,12,12,18,18,18,18,54,72,72,72,72,216,216,36,54,
54,108,108,8,8,24,18,18,18,18,18,24,24,72,1,1,1],[1,81,1,72,24,24,243,81,216,
216,648,8,8,36,24,54,54,108,108,81,36,54,54,108,108,216,216,648,2,2,6,8,8,8,8,
24,24,4,6,6,12,12,27,27,27,27,54,54,54,18,18,54,72,72,72,72,216,216,36,54,54,
108,108,8,8,24,9,9,9,9,18,18,18,24,24,72,1,1,1],[1,27,10,72,15,51,27,54,27,27,
18,18,20,32,45,45,24,108,72,27,27,27,27,27,3,18,18,18,18,36,36,27,4,4,4,12,12,
10,15,15,12,24,24,24,24,9,27,27,3,3,6,18,18,1,4,8,12,12,12,1,9,3,4,1,1,1,1,
1],[1,27,10,72,51,15,27,54,27,27,18,18,32,20,45,45,24,108,72,27,27,27,27,27,3,
18,18,18,18,36,36,27,4,4,4,12,12,10,15,15,12,24,24,24,24,9,27,27,3,3,6,18,18,
1,4,8,12,12,12,1,9,3,4,1,1,1,1,1],[1,67,8,16,16,81,60,60,42,108,8,112,112,32,
32,2,108,45,45,27,54,90,216,36,16,12,12,48,48,16,16,24,48,48,48,3,3,9,18,6,27,
27,54,54,27,54,27,18,36,36,32,32,16,2,8,8,8,36,36,24,24,24,24,48,48,1,27,54,9,
9,27,27,9,18,18,16,16,16,12,12,6,12,12,12,12,12,24,24,24,3,3,9,9,9,9,9,8,16,1,
1,2,6,6,12,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,81,10,72,33,33,162,81,81,
216,216,648,26,26,72,45,24,54,54,108,108,36,36,36,54,54,108,108,54,54,54,54,
270,270,648,81,2,2,6,8,8,8,8,24,24,13,6,6,15,15,12,12,12,12,12,12,12,12,12,12,
18,18,54,72,72,72,72,216,216,9,9,45,54,54,108,108,54,54,1,8,8,24,4,4,6,6,6,6,
6,6,12,12,12,12,12,12,9,24,24,72,18,18,18,18,18,18,1,2,2,4,4,1,6,6,1,1],[1,81,
1,72,24,24,243,81,216,216,648,81,8,8,36,24,54,54,108,108,243,36,54,54,108,108,
216,216,648,81,2,2,6,8,8,8,8,24,24,4,6,6,12,12,54,54,18,18,54,72,72,72,72,216,
216,36,54,54,108,108,8,8,24,54,54,54,54,54,24,24,72,18,18,1,1,3,1],[1,81,1,72,
24,24,81,81,216,216,648,243,8,8,36,24,54,54,108,108,81,36,54,54,108,108,216,
216,648,81,2,2,6,8,8,8,8,24,24,4,6,6,12,12,18,18,18,18,54,72,72,72,72,216,216,
36,54,54,108,108,8,8,24,18,18,18,18,18,24,24,72,18,1,1,1,1],[1,81,1,72,24,24,
81,486,81,216,216,648,243,8,8,36,24,54,54,108,108,81,162,36,54,54,108,108,216,
216,648,81,2,2,6,8,8,8,8,24,24,4,6,6,12,12,18,18,54,54,54,54,108,108,108,18,
18,54,72,72,72,72,216,216,36,54,54,108,108,54,54,8,8,24,18,18,18,18,18,18,18,
18,18,36,36,36,24,24,72,18,18,1,1,1,2,1],[1,81,10,72,51,15,81,27,243,162,81,
81,54,162,216,243,32,20,45,45,24,108,72,27,27,27,27,81,27,81,81,81,162,9,36,
54,54,54,54,108,216,216,81,81,81,81,81,81,4,4,4,12,12,10,15,15,12,24,24,24,24,
27,9,27,27,81,27,27,12,12,12,36,36,9,9,18,36,54,54,27,27,27,1,4,8,12,12,12,1,
3,9,27,9,9,18,9,4,12,12,12,9,9,4,1,3,1,1,1,3,4,3,3,3,3,1,1],[1,81,10,72,15,51,
27,81,243,162,81,81,162,54,216,243,20,32,45,45,24,108,72,27,27,27,81,27,81,27,
81,81,162,9,36,54,54,54,54,216,108,216,81,81,81,81,81,81,4,4,4,12,12,10,15,15,
12,24,24,24,24,9,27,27,81,27,27,27,12,12,12,36,36,9,9,18,36,54,54,27,27,27,1,
4,8,12,12,12,3,1,27,9,9,9,18,9,4,12,12,12,9,9,4,3,1,1,1,1,3,4,3,3,3,3,1,1],[1,
105,140,35,35,105,315,126,105,210,420,120,315,70,126,35,105,35,35,35,105,105,
70,126,120,105,105,105,105,105,70,35,21,42,35,21,15,15,7,1],[1,105,140,35,35,
105,315,126,105,210,420,120,315,70,126,35,105,35,35,35,105,105,70,126,120,105,
105,105,105,105,70,35,21,42,35,21,15,15,7,1],[1,105,140,35,105,35,315,126,105,
210,420,120,315,70,126,35,35,35,105,35,105,105,70,126,120,105,105,105,105,105,
70,35,21,42,35,21,15,15,7,1],[1,105,140,35,105,35,315,126,105,210,420,120,315,
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],[1,81,10,72,33,33,729,162,81,81,216,216,648,26,26,72,45,24,54,
54,108,108,36,36,243,243,486,36,54,54,108,108,54,54,54,54,270,270,648,81,2,2,
6,8,8,8,8,24,24,13,6,6,15,15,12,12,12,12,12,12,12,12,12,12,81,81,81,81,162,
162,162,81,18,18,54,72,72,72,72,216,216,9,9,45,54,54,108,108,54,54,1,8,8,24,4,
4,6,6,6,6,6,6,12,12,12,12,12,12,27,27,27,27,27,27,81,54,54,9,24,24,72,18,18,
18,18,18,18,1,2,2,4,4,9,1,6,6,1,3,1,1],[1,81,1,72,24,24,243,486,81,216,216,
648,81,243,243,8,8,36,24,54,54,108,108,243,162,243,36,54,54,108,108,216,216,
648,81,81,81,2,2,6,8,8,8,8,24,24,4,6,6,12,12,54,54,54,54,54,54,108,108,108,81,
18,18,54,72,72,72,72,216,216,36,54,54,108,108,54,54,8,8,24,54,54,54,54,54,18,
18,18,18,36,36,36,24,24,72,18,18,18,18,18,1,1,3,2,1,1,1,1],[1,135,10,180,105,
15,135,486,270,135,135,90,360,540,50,20,45,45,60,270,180,486,135,135,135,135,
135,15,90,90,90,90,90,180,450,540,135,10,10,10,30,30,10,15,15,30,60,60,60,60,
45,135,135,30,30,30,90,90,15,15,30,90,90,90,81,81,81,1,10,20,30,30,30,5,45,15,
10,30,30,30,10,5,5,5,5,6,10,6,5,1],[1,135,10,180,15,105,135,486,270,135,135,
360,90,540,20,50,45,45,60,270,180,486,135,135,135,135,135,15,90,90,90,90,90,
450,180,540,135,10,10,10,30,30,10,15,15,30,60,60,60,60,45,135,135,30,30,30,90,
90,15,15,30,90,90,90,81,81,81,1,10,20,30,30,30,5,45,15,10,30,30,30,10,5,5,5,5,
6,10,6,5,1],[1,195,320,80,225,300,140,90,540,576,240,480,960,30,180,225,45,
135,270,270,1080,180,160,576,140,80,80,240,240,720,80,240,240,1,15,15,30,90,
135,45,270,90,135,270,45,90,180,180,160,120,180,360,240,240,240,240,240,240,
15,45,90,135,45,135,45,45,90,90,160,80,20,20,60,180,60,60,120,120,96,96,96,96,
96,45,15,15,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,16,15,
15,10,6,6,1],[1,195,320,80,225,140,300,90,540,576,240,480,960,30,180,45,225,
135,270,270,1080,180,160,576,140,240,240,80,80,720,80,240,240,15,1,15,30,90,
45,135,90,270,135,270,45,90,180,180,160,120,180,360,240,240,240,240,240,240,
15,45,90,45,135,45,135,45,90,90,160,80,20,60,20,180,60,60,120,120,96,96,96,96,
96,15,45,15,45,45,45,45,80,36,15,60,60,60,60,45,10,36,15,15,15,15,10,16,16,15,
15,10,6,6,1],[1,81,37,72,60,60,243,405,324,324,216,216,648,81,80,80,180,180,
24,54,54,108,108,144,144,243,36,54,54,108,108,216,216,216,216,432,432,648,324,
81,81,81,81,2,2,6,8,8,8,8,24,24,40,6,6,60,60,12,12,48,48,48,48,48,48,48,48,54,
54,18,18,54,72,72,72,72,216,216,36,36,72,54,54,108,108,216,216,81,4,8,8,24,16,
16,24,24,24,24,24,24,48,48,48,48,48,48,54,54,54,54,54,36,24,24,72,72,72,72,72,
72,72,18,18,1,8,8,16,16,1,24,24,18,18,4,3,4,1,1],[1,63,28,336,63,252,252,336,
288,63,189,189,378,112,252,252,63,63,189,336,288,63,252,252,28,189,63,63,28,
63,63,28,36,28,1],[1,81,37,72,60,60,243,1458,405,324,324,216,216,648,81,729,
729,80,80,180,180,24,54,54,108,108,144,144,243,972,972,1458,729,36,54,54,108,
108,216,216,216,216,432,432,648,324,81,81,81,81,243,243,2,2,6,8,8,8,8,24,24,
40,6,6,60,60,12,12,48,48,48,48,48,48,48,48,54,54,162,162,162,162,324,324,324,
324,243,243,243,243,18,18,54,72,72,72,72,216,216,36,36,72,54,54,108,108,216,
216,81,162,162,4,8,8,24,16,16,24,24,24,24,24,24,48,48,48,48,48,48,54,54,54,54,
54,54,54,54,54,108,108,216,108,108,81,36,24,24,72,72,72,72,72,72,72,18,18,54,
54,54,1,8,8,16,16,36,1,24,24,18,18,4,3,6,4,1,3,3,4,3,1,1],[1,315,1120,525,420,
420,630,1260,2016,3360,960,1260,315,315,315,630,1260,2520,280,2016,840,840,
840,840,3360,21,21,105,210,315,315,630,630,315,630,315,280,960,1680,840,840,
840,840,315,630,315,315,280,280,280,210,210,420,840,336,336,336,336,336,672,
105,280,126,126,210,210,126,126,120,120,120,105,56,56,56,21,21,1],[1,315,1120,
525,420,420,630,1260,2016,3360,960,1260,315,315,315,630,1260,2520,280,2016,
840,840,840,840,3360,21,21,105,210,315,315,630,630,315,630,315,280,960,1680,
840,840,840,840,315,630,315,315,280,280,280,210,210,420,840,336,336,336,336,
672,336,105,280,126,126,210,210,126,126,120,120,120,105,56,56,56,21,21,1],[1,
315,40,120,240,405,540,540,270,1620,1296,360,1800,720,960,720,90,135,405,405,
810,810,3240,160,120,240,960,1296,270,540,1080,720,1080,1080,1080,27,270,405,
810,405,810,120,720,240,960,480,720,1296,90,360,360,360,810,540,1080,540,1080,
40,40,320,45,405,405,360,120,360,720,270,270,540,270,270,40,120,240,216,216,
135,360,360,162,160,45,45,90,270,40,120,120,120,216,216,162,160,45,135,40,120,
45,40,36,45,40,40,36,27,1],[1,315,40,240,120,405,540,540,270,1620,1296,360,
720,1800,720,960,90,405,135,405,810,810,3240,160,120,240,960,1296,540,270,
1080,1080,720,1080,1080,27,270,405,810,405,810,120,240,720,960,480,720,1296,
90,360,360,360,540,810,540,1080,1080,40,40,320,45,405,405,120,360,360,720,270,
270,270,540,270,40,120,240,216,216,135,360,360,162,160,45,45,90,270,40,120,
120,120,216,216,162,160,45,135,40,120,45,40,36,45,40,40,36,27,1],[1,405,10,
720,195,195,405,405,3645,2916,810,405,405,1890,1890,6480,3645,80,80,315,45,
240,540,540,1080,1080,360,360,2916,405,405,405,405,405,405,405,405,405,405,
1215,1215,2430,315,540,540,1080,1080,270,270,270,270,2160,2160,6480,405,1215,
1215,1215,1215,1215,1215,1215,1215,20,20,60,80,80,80,80,240,240,40,60,60,15,
15,120,120,120,120,120,120,120,120,120,120,135,135,810,810,810,810,1215,1620,
1620,405,405,405,405,405,180,180,540,720,720,720,720,2160,2160,45,45,360,540,
540,1080,1080,270,270,486,486,486,486,486,486,405,405,405,405,1,80,80,240,40,
40,60,60,60,60,60,60,120,120,120,120,120,120,15,15,135,135,270,270,270,270,
135,135,540,540,540,45,240,240,720,180,180,180,180,180,180,135,135,10,20,20,
40,40,15,15,15,15,15,15,15,15,45,81,81,81,81,81,81,81,81,81,36,10,60,60,45,45,
45,45,45,45,45,10,36,30,15,15,10,15,15,10,6,6,1],[1,2835,280,20160,1680,1680,
8505,11340,11340,17010,102060,163296,22680,45360,45360,30240,30240,181440,
155520,5670,102060,8505,8505,25515,51030,51030,204120,102060,2240,2240,5040,
5040,6720,15120,15120,30240,30240,40320,40320,163296,11340,11340,45360,45360,
45360,45360,136080,45360,45360,45360,45360,68040,136080,136080,136080,567,567,
8505,17010,17010,25515,25515,51030,51030,25515,51030,25515,51030,102060,
102060,5040,15120,15120,30240,30240,30240,30240,30240,30240,60480,60480,
181440,45360,163296,155520,5670,22680,22680,22680,34020,34020,68040,68040,
136080,136080,136080,136080,136080,68040,68040,136080,136080,560,560,1680,
2240,2240,2240,2240,6720,6720,1120,1680,1680,1680,1680,3360,3360,13440,13440,
13440,13440,13440,13440,13440,13440,2835,25515,51030,25515,25515,25515,25515,
25515,51030,51030,15120,15120,15120,15120,45360,45360,45360,45360,45360,90720,
90720,45360,45360,45360,45360,45360,11340,11340,11340,11340,17010,34020,34020,
34020,34020,34020,68040,34020,68040,68040,68040,5040,5040,15120,20160,20160,
20160,20160,60480,60480,5040,5040,10080,15120,15120,30240,30240,30240,30240,
27216,27216,54432,54432,54432,54432,54432,54432,8505,8505,8505,25515,25515,
25515,25515,22680,45360,45360,45360,45360,45360,45360,20412,20412,112,2240,
2240,6720,4480,4480,6720,6720,6720,6720,6720,6720,13440,13440,13440,13440,
13440,13440,2835,2835,5670,17010,17010,34020,34020,34020,34020,34020,1680,
1680,15120,15120,15120,15120,15120,15120,15120,15120,15120,15120,15120,15120,
15120,30240,30240,30240,27216,27216,25515,5670,5670,22680,20412,20412,5040,
6720,6720,20160,20160,20160,20160,20160,20160,20160,19440,19440,19440,19440,
19440,2835,2835,8505,8505,8505,8505,8505,17010,5040,5040,15120,15120,15120,
15120,15120,280,2240,2240,4480,4480,2835,5670,5670,1680,1680,1680,1680,1680,
1680,1680,1680,5040,4536,4536,4536,9072,9072,9072,9072,9072,9072,9072,9072,
8505,8505,8505,4032,280,6720,6720,2835,2835,2835,5670,5670,5040,5040,5040,
5040,5040,5040,5040,5040,5040,4536,4536,4536,1120,4032,3402,3402,3402,3402,
840,1680,1680,1680,2835,1120,280,840,840,1680,1680,1296,1296,1296,1296,1120,
840,672,672,567,567,280,540,280,162,162,126,126,112,1]],
[1,2,3,3,3,3,4,4,4,4,4,5,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,
9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,20,21,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,60,60,60,60,60,60,60,60,64,
64,64,64,64,64,64,72,72,72,72,72,72,72,80,80,81,81,81,81,81,81,81,81,81,81,81,
81,81,81,81,81,81,81,96,96,96,96,96,96,96,96,96,96,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,120,120,128,144,144,144,160,
160,162,162,162,162,162,162,162,162,162,162,168,168,168,168,168,192,192,192,
192,192,192,192,192,216,216,216,216,216,216,216,243,243,243,243,243,288,288,
288,324,324,324,324,324,324,324,324,324,360,360,360,360,360,360,360,360,360,
360,360,384,384,384,405,486,486,486,576,576,576,576,576,648,648,648,648,648,
648,648,648,648,720,720,720,729,810,960,960,960,960,972,972,972,972,1152,1458,
1944,1944,1944,1944,1944,2520,2520,2520,2520,2916,3888,4860,4860,5760,5760,
5832,6048,11664,20160,20160,25920,25920,29160,3265920],
[381,356,375,267,361,362,324,301,300,286,129,84,261,202,202,243,244,82,85,329,
135,322,323,258,196,200,66,135,357,357,342,342,326,292,291,255,254,215,214,84,
300,301,203,203,204,204,94,203,204,202,202,167,101,102,100,371,372,324,285,
286,258,258,196,196,258,196,258,200,135,135,342,291,292,255,254,244,243,244,
243,184,185,82,202,84,85,329,261,261,261,235,236,158,159,94,95,96,97,98,167,
167,101,102,373,373,359,357,357,357,357,326,326,367,360,360,362,361,353,353,
298,298,298,296,297,297,297,295,356,258,196,258,258,258,258,258,200,200,290,
289,291,292,205,205,206,206,207,146,147,202,202,202,204,203,300,301,300,301,
286,236,235,236,235,237,163,232,165,166,167,341,340,293,269,268,271,270,175,
176,342,342,310,291,292,254,255,243,244,256,257,188,189,190,191,192,193,322,
323,324,258,258,258,258,261,202,203,204,205,206,207,263,262,380,357,357,326,
346,346,327,327,328,328,328,327,297,297,298,298,297,298,356,356,329,286,286,
233,234,235,236,237,361,362,287,288,293,289,290,292,291,291,291,292,292,290,
289,253,254,255,256,257,258,332,333,261,262,263,342,328,327,267,268,269,270,
271,272,273,274,275,276,277,278,356,356,322,323,322,323,324,286,340,341,289,
290,291,292,293,375,357,357,346,346,356,333,332,361,362,362,362,361,361,362,
361,342,343,344,345,314,315,316,317,318,319,320,321,322,323,324,347,375,327,
328,356,356,356,332,333,334,335,336,337,338,339,340,341,342,343,344,345,367,
347,348,349,350,351,368,360,362,361,356,367,375,368,368,361,362,363,364,365,
366,367,368,369,370,371,372,375,374,375,376,377,378,379,380,381],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,5,4,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,12,9,8,9,9,8,8,7,1,1,6,5,1,5,6,3,1,1,1,1,2,2,2,2,2,2,2,2,2,10,10,31,35,34,
36,37,5,6,5,6,6,5,4,1,12,19,20,20,20,2,9,8,42,41,47,46,45,44,43,3,13,14,15,3,
3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,3,3,1,3,3,3,1,3,2,7,7,7,7,7,7,7,10,10,31,31,35,
34,34,34,35,35,31,36,37,6,5,32,8,9,9,8,56,57,20,42,41,42,41,58,59,86,87,88,52,
104,103,105,108,109,107,106,111,110,31,31,31,35,34,37,36,6,5,186,187,188,189,
190,191,192,193,22,23,7,23,22,24,24,20,83,152,151,73,72,71,56,57,1,3,3,3,3,3,
29,29,30,30,30,29,30,30,29,29,30,29,127,127,20,86,86,156,155,90,91,162,116,
115,103,104,105,31,31,34,35,114,114,113,113,116,115,112,118,117,186,187,65,57,
56,201,209,208,31,211,212,213,109,108,106,107,103,104,274,275,276,277,278,229,
228,229,228,127,127,196,157,169,168,177,178,180,181,105,3,30,29,30,29,127,260,
259,116,115,239,239,238,238,239,238,210,311,312,313,314,315,316,317,318,319,
320,321,229,228,285,210,294,212,211,299,228,229,259,260,308,309,304,305,307,
306,287,288,264,311,312,313,112,325,348,349,350,351,294,294,239,238,299,294,
326,294,326,355,354,363,364,365,366,346,352,369,370,371,372,358,374,373,376,
377,378,379,380,381],
[(  1, 53)(  2, 17)(  3, 67)(  4, 50)(  5, 52)(  6, 85)(  8, 34)(  9, 12)
( 10, 25)( 11, 74)( 13, 29)( 14, 61)( 15, 69)( 16, 23)( 18, 82)( 19, 20)
( 22, 98)( 24, 92)( 26, 59)( 27, 30)( 32, 78)( 33, 77)( 35, 49)( 36, 51)
( 37, 87)( 38, 81)( 39,112)( 41, 55)( 42, 72)( 43, 65)( 45, 56)( 46, 93)
( 47, 99)( 48, 63)( 54, 64)( 57,100)( 58, 66)( 60,103)( 62,104)( 70, 76)
( 73, 88)( 75,109)( 79, 83)( 80,106)( 84, 86)( 89, 96)( 95,105)(107,108),
(  1, 15, 66, 99, 31,109)(  2, 28, 16, 22, 73,106)(  3, 90, 49, 19, 82, 10)
(  4, 89, 40, 30,108,  8)(  5,112, 81, 80, 57, 76)(  6, 11, 43, 61, 96, 88)
(  7,102, 74, 27, 63, 84)(  9, 78, 62, 51,107, 41)( 12, 44, 71, 95, 39, 59)
( 13, 18,105,110,103, 85)( 14, 26,111, 36, 45, 53)( 17, 24, 72, 58, 68, 29)
( 20, 70, 50)( 21, 60, 55)( 23, 98,101, 25, 64,104)( 32, 79, 97, 86, 92, 67)
( 34, 52, 91, 37, 35, 38)( 42, 56, 93)( 46, 77, 54, 69, 48, 75)( 65, 83, 94)],
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5,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,1,2,1],[5,1,4,-1,5,-1,4,
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1],[6,1,3,1,5,-1,6,1,5,1,3,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
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4,1,2,1,4,1],[3,1,5,-1],[6,1,3,-2,6,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[5,2,3,-1,5,2,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[5,1,3,1,5,1],[6,1,3,-2,6,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,
2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]]],[[[1,
1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,-1],[6,1,3,-2,6,
-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-1,5,-1,3,1,5,1,
3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,1],[6,
1,3,-2,6,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,
5,-2,3,-1]]],[[[2,-3],[1,1,2,1],[1,1,2,-1,4,1,2,1,1,1,2,-1,4,1],[5,1,3,1,5,2,
3,1,5,1]],[[2,-3],[1,1,2,1],[1,1,2,-1,4,1,2,1,1,1,2,-1,4,1],[3,1,5,-2,3,
1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,3,1,5,
1]],[[2,1],[3,-3]]],[[[2,-3],[1,1,2,1],[1,1,2,-1,4,1,2,1,1,1,2,-1,4,1],[3,1,5,
-1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,2,5,
-1,3,-1,5,-1]],[[2,1],[3,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,-1],[5,1,3,1,5,1],[6,1,7,2,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[5,1,3,-1,5,1],[6,1,3,-1,6,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,2],[5,1,3,1,5,1],[6,1,7,-1,6,1,7,1]],[[2,1],[1,1,2,1],[4,2,1,1,
2,-1,4,-1,2,2,1,1],[5,1,3,2,5,-1,3,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[5,1,3,-1,5,1],[6,1,3,-1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[3,-1,5,-1,3,-1,5,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[3,1,5,1],[3,1,5,-1,6,-2,5,1]],[[2,1],[3,-2]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,-1,3,-1],[2,-3,4,1],[4,2,5,2,4,1,5,1]],[[2,-3],[1,1,2,1],[4,2,2,1,1,1,2,
-1,4,-1],[5,2],[3,1,5,1,6,1,3,1,5,-1,6,-1]]],[[[2,-3],[1,1,2,1],[1,1,2,-1,4,1,
2,1,1,1,2,-1,4,1],[5,2,3,1,5,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,
1],[2,-3,4,-4]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,
3,-1,5,-1],[7,1,6,-1,7,1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[
5,1,3,-1],[6,1,5,-1,3,-1,6,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,
4,-1],[3,-1],[6,1,5,1,3,-1,5,-1,6,1,5,1,3,-1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,
2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[2,-2],[1,1,2,1],[
4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,-1,5,1,6,1,3,1,5,-1,6,1]]],[[[2,-2],[
1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,-1,5,-1,3,1,5,1]]],[[[1,1,2,1],[
3,2,2,1,1,1,2,-1,3,-1],[4,-4]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[4,1,2,-3,4,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,
-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,
1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,
5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,
1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[3,1,5,1],[5,-1,7,-2,
5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1],[6,1,5,-1,3,-1,
6,1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,3,-1,
5,-1,3,-2,6,-1,5,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,1,2,1],[4,1,5,
-2,4,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[3,2,6,1,3,
1,5,1,6,-1,5,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,1,
5,1,3,2,5,1,3,-1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,
-1,5,1,3,-3,5,-1,3,1,5,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,1,2,1],[
4,1,5,-2,4,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[2,-3,4,1],[5,1,4,1,5,2,
4,2]],[[2,-3],[1,1,2,1],[4,2,2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,1]]],[[[2,1],[
1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[3,1,5,-1],[7,1,6,1,7,1,6,
1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,3,1,5,1,6,-1,5,
-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,5,1,3,1,5,
-1,6,-1,3,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1,3,
1,5,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-2,3,-3,5,2,3,
-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[3,1,5,1],[5,-1,7,-2,
5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,5,1,3,-3,
5,-1,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,-1,5,1,3,-1,5,
-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,-1,6,-1,5,
-1,3,1,5,-1,6,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[
5,-2,6,1,3,-1,6,-1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,
3,1,5,-1,3,-1,5,1,3,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
2],[5,1,3,1,5,1,6,-1,5,2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[
5,1,3,-1,5,-1,3,1,5,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,
3,1,5,-1,3,-1,5,1]],[[2,-2]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,
1,4,1],[5,1,3,1,5,1],[6,1,3,-2,6,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1,5,1,3,1]],[[1,1,
2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]]],[[[1,
1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,2],[6,1,3,-2,6,-1]],[[
1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,
1],[5,2],[6,1,3,-2,6,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,
1],[5,1,3,1,5,-1,3,-1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,
4,1],[3,-2],[6,1,5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,
1,4,1],[3,-1,5,-1,3,1,5,1,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[5,1,3,1,5,-1,3,1,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[5,1,3,-1,5,-2,3,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[3,1,5,-1,3,-2,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[3,-2],[5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[5,2,3,-1,5,2,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[5,1,3,-1,5,-2,3,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[5,1,3,1,5,-1,3,1,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1,3,-2]],[[1,1,2,-2,1,
1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1,5,1]]],[[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-1,5,-1,3,1,5,1,3,1]],[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1],[6,1,3,-2,6,-1]],[[1,1,2,-2,1,1,
2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]],[[1,1,2,-2,1,1,2,2],[1,
1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]]],[[[1,1,2,-2,1,1,2,2],[
1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,2,3,-1,5,2,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,
2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,
2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[
1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-2,5,2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[
1,1,2,-1,4,1,2,1,4,1],[3,-2],[6,1,5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,
1],[1,1,2,-1,4,1,2,1,4,1],[3,-2,5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,
1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,1,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,
1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,-1,3,1,5,-1,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,
2,-1,3,-1],[4,2],[5,1,2,-3,4,1,5,1]],[[2,-3],[1,1,2,1],[4,2,2,1,1,1,2,-1,4,
-1],[3,1,5,-1,3,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,
3,1,5,1,3,-1,5,-2]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,
-1,5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,
-2,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,
-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,1],[6,1,
7,1,6,1,7,1]]],[[[2,-3],[1,1,2,1],[1,1,2,-1,4,1,2,1,1,1,2,-1,4,1],[3,1,5,2,3,
1,5,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,1],[2,-3,4,-4]],[[2,-3]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[2,-3,4,1],[4,2,5,2,4,1,5,1]],[[2,-3],[1,1,2,
1],[4,2,2,1,1,1,2,-1,4,-1],[5,2],[3,1,5,1,6,1,3,1,5,-1,6,-1]],[[2,-3]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,3,1,5,1]],[[2,1],[1,
1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,-1]],[[2,1],[1,1,2,1],[4,2,
1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,-1,3,2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,-1,3,1,5,-2,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,1],[6,1,7,1,6,1,7,1]],[[2,-2],[1,1,2,1],[
4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,-1],[6,1,7,1,6,1,7,1]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,-1],[6,1,7,1,6,1,
7,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,-2,3,1,5,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[2,-2,4,1],[5,-4]],[[2,-2],[1,1,
2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1],[3,-1,6,2]]],[[[2,-2],[1,1,2,1],[4,
1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,1],[6,1,7,1,6,1,7,1]],[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,-1]]],[[[2,1],[1,1,2,1],[
4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,-2,6,1,3,1,5,2]],[[2,1],[3,-2]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,3,-2,5,-1]],[[2,1],[3,
-3]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,-2,3,1,5,1,
3,-1,5,1,6,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[2,-2,4,1],[5,-4]]],[[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,-1,5,-1,3,1,5,1]],[[2,1],[
1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,1,3,1]]],[[[2,1],[1,1,2,1],[4,
2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,1],[6,1,3,2,6,-1]],[[1,1,2,1],[3,2,1,1,2,
-1,3,-1,2,2,1,1],[4,1,2,1],[5,1,4,-1,5,-1,4,-1]]],[[[2,-3],[1,1,2,1],[4,2,2,1,
1,1,2,-1,4,-1],[3,1,5,1],[6,2],[7,-2,5,1,3,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-1],[4,1,2,-3,4,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[
4,1,3,1],[5,2,4,1,6,-1,5,1,6,-1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[
3,1,4,1],[3,1,4,-1,5,1,3,1,4,-1,5,1,4,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,3,-1,5,-1,3,-1,5,-1,6,-1]],[[2,-2],[1,1,2,1],[
4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1],[6,1,3,-1,6,-1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,1,5,1],[6,1,7,2,6,-1]],[[2,-2],[
1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,1,5,1]]],[[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-1,5,1,3,-1,5,1]],[[1,1,2,-2,1,1,2,2],[
1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,1,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,
1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-2],[6,1,5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[
1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,2,1,3,1],[4,1,1,1,2,-2,1,1,2,2],[4,1,5,-2,4,-1]],[[1,1,2,-2,1,1,2,2],[3,
-2]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1],[6,1,3,
-2,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,2]]],[[[1,1,2,-2,1,1,2,2],[1,1,
2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,1,2,2],[
1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,
1,3,1],[4,1,1,1,2,-2,1,1,2,2],[4,1,5,2,4,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[
1,1,2,-1,4,1,2,1,4,1],[3,-1,5,2,3,1,5,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-1],[2,-3,4,1],[5,2,4,2,5,2]],[[2,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,
2,2,1,1],[3,2],[6,1,5,1,3,-1,5,1,3,1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,2],[6,-1,5,-1,6,1,3,1,5,2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[5,2,3,-2,5,1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[5,1,3,1,5,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,
1,3,1,5,1,6,-1,5,2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[
6,1,5,-1,3,-1,5,-1,6,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[
3,2],[5,1,3,1,5,1,6,-1,5,2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,1,5,1,3,1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[
3,-2,5,1,3,-1,5,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,-2,1,1,2,-2,1,1,2,
2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,-2,3,1,5,-1,3,-1,
5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,1,3,-1,5,-2,
3,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,-1,3,-1,
5,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,2,1,1,2,-2,1,1,2,2,4,-1]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[3,1,5,1],[5,1,7,1,6,-1,7,1,5,
1,6,1]],[[2,1],[3,-3]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,
1],[5,1,6,1],[3,-1,7,-1,6,1,5,1,3,1,7,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,6,-3,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,
1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,1,3,1,5,-1,3,1,5,-1]],[[2,-2],[1,1,2,1],[4,1,
1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,3,-1,5,-1,3,-1,6,-2]]],[[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1,3,-3,5,2,3,-1]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,-1,6,1,5,1]]],[[[2,1],[1,1,2,1],[
4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[6,1,5,1,6,-1,3,1,5,1]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,
1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,6,1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,1,5,-1,3,1,5,-1,3,1,5,-1]],[[2,-2],[
1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]]],[[[2,-2],[1,1,
2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,-1,5,-1,6,1,5,-1,3,-1,5,
-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,
3]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,-1,5,-1,
6,1,5,-1,3,-1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-1,
3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
1,5,-1],[6,1,3,-2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,
2,5,-1,3,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,-1,6,
-1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,6,1,3,
2,5,1,3,-1,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,
3,2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[5,1,6,1,5,
-1,3,1,6,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,1,
5,-1,6,-1,5,-1,3,1,5,-1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[
3,1,5,1],[3,1,5,-1,6,3]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,
1],[6,2,3,1,5,-1,6,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,
1,5,1],[6,1,3,2,6,-1]],[[2,1],[3,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,
1,1],[3,2],[6,1,5,-1,6,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,-1],[3,1,5,1],[6,1,7,-2,5,1,7,1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,
1,1,2,-1,4,-1],[3,1,5,-1],[6,1,3,-1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[5,1,3,1,5,1],[6,1,3,-1,6,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,1,5,2,3,-1,5,-2,3,1,5,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,
2,2,1,1],[3,1,5,-1],[6,1,3,-2,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,
1,1],[5,1,3,1],[5,1,6,1,5,1,6,-1,3,1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[5,1,3,-1,5,1,3,2,5,-1,3,-1,5,-1]],[[2,1],[3,-2]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[3,1,5,-1,6,-2,5,1]]],[[[2,-2],[1,1,
2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,-1,5,1,6,1,5,1,3,1,5,
-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,
1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,
1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,-1,6,-2]]],[[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1],[5,1,6,2,5,-1,3,1]],[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,5,1]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,-1,6,-1,5,
-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1,3,-1,5,-2,3,
1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,-1,5,
1,6,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,-2,3,1,5,-1,3,
-1,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,5,
1,6,-1,5,1,3,1,5,-1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,
5,1],[3,1,5,-1,6,1,3,1,6,-1,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,
4,-1],[3,-1,5,-1,3,1,5,-1,3,1,5,-1,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[5,1,3,-1,5,1,3,-1,5,1,3,-1,5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,-1,5,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,
2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,1,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,
1,2,-1,4,1,2,1,4,1],[3,1,5,-1,3,-2,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,
1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-2],[5,-1,6,1,5,1]],[[1,1,
2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,5,1]],[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-1,5,-1,3,1,5,1,3,1]],[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,-1,5,1,3,-1,5,1]],[[1,1,2,-2,1,
1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]],[[1,1,2,-2,1,1,2,2],[
1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1,5,1]]],[[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,-2,3,-1]],[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,-1,5,1,7,-1,5,1,7,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,
2,5,1,7,1,5,1,7,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[
5,1,3,1,4,1,3,1,5,-2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,-1,3,
1,4,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[4,1,3,1,4,1,3,1,4,-1,
3,1,4,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,2,3,-1,5,
2,3,1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[5,1,3,1,5,-1,3,1,5,1,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[3,1,5,-1,3,1,5,1,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[3,-2],[5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[3,1,5,-1,3,1,5,-1,3,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[3,1,5,1,3,1,5,1,3,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,1,1,
2,-1,1,1,2,-1],[4,1,5,1],[4,1,5,-1,6,1,5,1,6,2]],[[1,1,2,1],[3,1,2,2,3,1,2,2,
1,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,1,3,2,5,
-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,3,1],[6,1,7,
-1,6,1,7,-1]],[[2,1],[3,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[
3,1,5,1],[5,1,3,-1,5,-1],[6,1,7,1,6,1,7,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[5,1,3,-1,5,-1],[6,1,3,2,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,1,5,1],[5,1,6,1,3,2,6,1,5,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
2,1,1,1,2,-1,3,1],[4,-2]],[[2,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[2,-3,
4,1],[5,1,4,3,5,2]],[[2,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[4,2],[5,-2,
2,-3,4,-1]],[[2,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[4,2,2,-3,4,1]],[[2,
-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,1],[2,-3,4,1],[4,1,5,1],[6,-2,
5,1]],[[2,-3]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,1],[2,-3,4,1],[4,1,5,
1],[6,1,5,1,6,1]],[[2,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,
2,3,-1,5,2,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,1,4,2]]],[[[1,
1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[2,-2,4,1],[5,-4]],[[2,-2],[1,1,2,1],[4,1,
1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,
2,2,1,1],[3,2],[5,1,3,1,5,-1,6,1,5,-1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,1,5,2,3,1,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[5,1,3,1,5,-1,3,-2,5,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[3,-2,5,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,1,1,2,
-2,1,1,2,2],[4,1,5,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[2,1],[1,
1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,-1,5,2,3,1,5,-1]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,1,3,1,5,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,
-1,2,2,1,1],[4,1,2,1],[4,1,5,1,4,1,5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,1,5,1],[5,1,3,2,6,1,3,1,5,-1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1,3,1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
1,3,-1,2,-1],[5,2],[1,1,2,1],[2,2,1,1,7,-1,2,1,7,1],[8,2,6,-1,8,1,6,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1],[5,2]]],[[[1,1,2,1],[1,1,2,
-1,3,1,2,1,3,1],[4,2,1,1,2,-2,1,1,2,2,4,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[
1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,1,1,2,-2,1,1,2,2],[4,1,5,-2]],[[1,1,2,-2,
1,1,2,2],[3,-2]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,
3,1],[6,1,5,-1,6,1,5,-1,4,-1,5,-1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,
-1],[3,1,4,1],[4,-2,3,1,4,-1,5,2,4,1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,
-1],[3,1,4,1],[4,1,3,1],[5,1,4,1,6,-1,5,2,6,1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,
1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,1,5,-1,4,-1,5,-1]],[[1,1,2,-2,
1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[3,1,4,-1,5,1,3,1,4,-1,5,1,3,1]],[[
1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,5,1],[6,1,5,1,4,1,3,1,
6,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,1,1,2,-1,1,1,2,-1],[5,1,4,1,5,
-2,4,1,5,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,1],[8,1,7,1,8,1,7,1,5,1,7,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,
1],[5,1,7,-1,5,1,7,1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,
4,1],[5,1,3,1,5,-1,3,-1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,
4,1],[3,1,5,2,3,1,5,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,-2,1,1,2,2],[1,
1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1],[6,1,3,1,6,-1]],[[1,1,2,1],[1,1,2,-1,
3,1,2,1,3,1],[4,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,1,1,2,-2,1,1,2,
2],[4,1,5,2,4,-1]],[[2,-2,1,-1,2,2,1,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[
2,1,1,1,2,-1,1,1,2,-1],[4,1,5,1],[5,1,4,1,5,-1,6,2,5,1]],[[1,1,2,1],[3,1,2,2,
3,1,2,2,1,1],[2,1,1,1,2,-1,1,1,2,-1],[5,2,4,1,5,1]]],[[[1,1,2,-2,1,1,2,2,1,
1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,1,5,-1,4,-1,5,-1]],[[1,
1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,-2,3,1,5,-1,4,1,5,2]]],[[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1],[6,1,3,1,6,-1]],[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,
-1,3,-1],[2,-2,4,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,
-1,5,1,3,1,5,-1,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,
5,1],[6,1,5,1,3,-1,6,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,
1],[3,-2,5,2,3,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,
5,1,3,-1,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,
2,5,1,3,-1,5,-1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,
1,5,-2,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,1,5,
1],[6,1,7,-1,6,1,7,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,
-2,3,1,5,2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,3,1,5,
1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,1,3,1]]],[[[
1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,1,1,2,-1,1,1,2,-1],[4,1,5,1],[6,1,5,1,6,1,
5,2,6,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,1,1,2,-1,1,1,2,-1],[4,1,5,1],[
6,2,4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,-1,5,1,3,-1]],[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,6,1]],[[2,-2],[1,1,
2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,-1]]],[[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,-1,5,1,3,1,5,-1,6,1]],[[1,1,2,1],[3,2,
1,1,2,-1,3,-1,2,2,1,1],[4,1,2,-1,4,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[3,1,5,1,3,1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
2],[3,1,5,1],[6,1,7,-1,6,1,7,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,1,5,-1,3,2,5,1,3,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,
5,-2,3,1,5,2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,
3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,1,3,
1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,-1]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,3,1,5,1]],[[2,1],[1,
1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,1,3,1]],[[2,1],[1,1,2,1],[4,2,1,
1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,-1,5,-1,3,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[5,1,3,2,5,-1,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[
4,2,2,-1,4,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,1,3,
1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,-3,5,-2]],[[2,1],[3,
-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,-1,6,1,5,1,6,
1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,5,1]],[[2,
1],[3,-3]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-2,5,-1,3,
-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,3,-2,5,-1]],[[2,
1],[3,-3]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,
1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,6,1,3,2,6,1,
5,1,3,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,3,-2,6,
1,5,1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,-3,5,-2]]],[[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,-1,5,-1,6,1,5,
-1,3,-1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[5,1,3,-1,
5,1],[7,1,6,1,7,1,6,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,
1],[6,2,3,1,5,-1,6,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,
-1],[6,1,5,1,3,-1,5,-1,6,1,5,-1,3,-1,5,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,
3,-1],[4,-2]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,
-2,3,-1,5,-1,3,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,-1,
5,1,3,-1,5,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,3,-2,5,
-1]],[[2,1],[3,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,
-1]],[[2,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1],[
6,1,3,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[4,-2,2,2,4,-2]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,2,3,1]],[[2,1],[1,1,
2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,2,3,-2]]],[[[2,1],[1,1,2,1],[4,2,
1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,1,6,-1,5,1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,
1,2,-1,4,-1,2,2,1,1],[3,1,5,2,3,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[3,2],[3,1,5,1],[7,1,5,1,6,1,7,1,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,
4,-1,2,2,1,1],[5,1,3,-1,5,1,3,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,
1,1],[3,2],[6,1,5,-1,6,1,5,-2,3,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,
1,1],[3,2],[5,-1,6,1,3,1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,2],[6,1,5,1,6,-1,5,2,3,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,-3,5,-2,3,1,5,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,
1],[4,1,3,1,5,-2,4,1,5,1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,
1],[5,1,4,1,5,1,4,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[2,-3,4,1],[5,
2,4,1,5,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-1],[4,1,2,-3,4,-1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,2,1,1,1,2,-1,3,1],[2,-3,4,1],[5,1,4,2,5,1]],[[2,-3]]],[[[1,1,2,
-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,-1,3,1,5,1]],[[1,1,2,
-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]],[[1,1,2,-2,1,1,
2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1,5,1]]],[[[1,1,2,1],[
1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1],[7,1,6,-1,4,
1,7,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,
-2],[4,1,6,1],[6,1,4,1,6,1,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,2,3,1,
5,1]],[[1,1,2,-2,1,1,2,2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,
1],[5,1,3,-1,5,-1,3,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,
1],[5,1,3,1,5,-1,3,-1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,
1,1],[1,1,2,2,5,-2],[4,1,6,1],[6,2,7,2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,
1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,1],[7,2,8,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-1,
5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,
1],[5,1,7,1],[7,1,5,1,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,
1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,1,5,1,3,-1]],[[1,1,2,-2,1,1,2,2],[3,
-2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,
-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,1,5,-1,3,-1,5,1,
3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,1,5,-1,
6,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,1,1,2,-2,1,1,2,2],[4,1,5,
2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,-2]],[[1,
1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[3,2],[5,2,6,-1,5,1,3,1,5,1,6,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,
1],[4,1,2,1],[4,1,5,-2,4,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
2],[6,1,3,1,5,-1,6,1,5,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,2],[6,-1,5,-1,6,1,3,1,5,2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,1,5,-1,3,-1,5,-1,3,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
1,5,-1,3,2,5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,
1,3,1,5,1,3,1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-1,3,1,
5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,-2,3,1,5,
1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,-1,5,1,3,1]]],[[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,-3,5,1,3,-1,5,-1]],[[2,1],[1,1,
2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-3,5,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[
1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[4,-2,5,1,6,-1,5,1,6,-1]],[[1,1,2,-2,1,
1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,-2,3,1,4,-1,5,2,4,1]]],[[[1,1,2,-2,
1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[4,-2,5,2,6,-2]],[[1,1,2,
-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1,5,1,4,1,5,1]]],[[[2,1],[
1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,-1,3,2,5,1,3,1]],[[2,1],[3,-2]],[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,5,1]],[[2,1],[1,1,
2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,
2,-1,4,-1,2,2,1,1],[5,1,3,1],[5,1,6,1,5,1,6,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,
2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,-1,6,-1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,
2,-1,4,-1,2,2,1,1],[5,1,3,2,5,-1,3,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,
1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[3,1,5,-1,3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[3,2],[5,2],[6,1,7,-1,6,1,7,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[5,1,3,1],[6,1,5,1,6,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,
2,-1,4,-1,2,2,1,1],[5,1,3,1],[5,1,6,-1,3,1,5,1,6,1]]],[[[2,-2],[1,1,2,1],[4,1,
1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,-1,3,-1,5,-1,6,1,5,1,3,1,5,-1]],[[2,-2],[
1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]],[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,6,-1,5,1,3,-1]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,-1,5,1,3,-1,5,1]],[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]],[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1,3,-1,5,-2,3,1]]],[[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1,3,1,5,-2,3,-1]],[[1,1,2,1],[
3,1,1,1,2,1,1,1,2,-1,3,-1],[4,-1,2,2,4,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,6,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[5,1,3,1,5,1,3,1,5,1,3,-1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
-1,2,2,1,1],[3,1,5,1],[5,2,6,1,3,1,5,-1,6,1]],[[2,1],[3,-2]]],[[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,3,-1,5,-2,6,1,5,1]],[[2,1],[1,1,
2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,
2,1,1,1,2,-1,4,-1],[5,-2,3,-1,5,-1,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,1],[6,1,3,-1,6,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[3,-1,5,1,3,-1,5,-2,3,-1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[5,-2,3,1,5,-2,3,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,1,5,1],[3,1,5,-1,6,3]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[
5,1,3,1,5,-2,3,-1,5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[
3,1,5,-1,3,1,5,1,3,1,5,-1,3,1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,
4,-1],[5,-2,3,-1,5,1,3,-1,5,1,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,
4,-1],[3,1,5,1,3,1,5,-1,3,1,5,-1,3,1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,1,3,-1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,1],[3,-1,5,-1,6,-3]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[3,-1,5,1,3,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[
3,-1,5,-2,3,1,5,1,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,
-2,3,-1,5,1,3,-1,5,-1,3,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[
3,-1],[6,1,5,1,3,1,5,1,6,-1,5,1,3,1,5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,
2,-1,4,-1],[5,1,3,1,5,-2,3,-1,5,1,3,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[5,-2,3,1,5,-2,3,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,
2,1,4,1],[3,1,5,-1,3,-1,5,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,-2,1,1,2,
2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,
1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,-1,5,2,3,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,
1],[4,2]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[3,-2],[5,-1,6,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[3,-1,5,1,3,1,5,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,-2,
1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,1,5,-1]],[[1,1,2,1],[1,1,
2,-1,3,1,2,1,3,1],[4,2,2,-2,1,-1,2,2,1,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,
1,2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,
2,-1,4,1,2,1,4,1],[3,-2,5,2,3,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,
1,2,1,4,1],[3,-1,5,-1,3,-1,5,-1,3,-1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1],[2,1,1,1],[1,1,2,2,5,-2],[4,1,6,1],[4,1,6,-2],[8,1,7,1,8,1,7,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[4,1,6,1,4,1,6,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,1],[5,1,7,-2],[9,1,8,1,9,
1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,
1],[5,1,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,2,-2,1,-1,2,2,1,-1,4,-2]],[[2,-2,1,-1,2,2,1,
-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,1,3,
-1,5,1]],[[2,-2,1,-1,2,2,1,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,1,1,2,
-1,1,1,2,-1],[5,1,4,1],[4,1,5,1,6,-1,5,-1,6,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1],[2,1,1,1,2,-1,1,1,2,-1],[5,2,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,-1],[3,
-3]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,2,3,1,5,1,3,-1,5,
1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,1,3,1,6,1,5,-1,6,
1]],[[2,1],[3,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[
6,1,3,-1,6,-1,5,-1,6,-1]],[[2,1],[3,2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[5,2,3,-3,5,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,
-1,5,-1],[6,1,3,-2,6,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,
-1],[6,1,5,1,3,-1,5,1,3,1,5,-2,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[
4,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,1,5,-2,3,
-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1,3,1]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,3,5,1,3,-1]],[[2,-2],[
1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,1,5,1,3,1,5,-1]]],[[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,5,1,3,-1,5,-1,3,2,6,-1]],[[1,1,
2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[2,1,4,1],[5,-2,4,1,5,1]],[[2,1],[3,-2]]],[[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[6,1,5,1,3,-1,5,-1,6,1,5,
1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1],[6,1,3,2,
6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,2,3,1,5,1,3,-1,5,
1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-2]],[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1],[3,-1,6,2]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,3,1,6,-2]],[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,-1,5,1,3,1,5,-1,3,-1]]],[[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[3,1,5,1],[6,1,7,-1,5,-1,7,
1,6,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,-1,5,1,3,1,
5,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,3,1,5,1,6,
-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,-1,3,1,5,1]]],[[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1],[6,1,5,1,3,-1,5,1,6,-1,5,
-1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,-1,3,-1,5,
-1,3,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,2,3,1,5,2]],[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,-1,3,2]]],[[[2,1],[1,1,
2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,-1,3,-1]],[[2,1],[3,-2]]],[[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1,3,1,5,1]],[[2,1],[3,
-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,1,5,2]],[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,-1,3,-2]]],[[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,1,3,1,5,-1,3,1]],[[2,-2],[1,1,
2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,3,1,6,-1]],[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,1,3,-1,5,-2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,1,3,-1,2,-1],[5,2],[1,1,2,1],[2,2,1,1,7,-1,2,1,7,1],[6,1,8,1,6,
-1,8,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1],[5,2],[1,1,2,1],[
2,2,1,1,7,-1,2,1,7,1],[8,1,6,1,8,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,
-1,3,2,2,1,3,1,4,1],[5,2],[1,1,2,1],[7,1,1,1,2,-1,7,1],[6,1,8,1,6,-1,8,-1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,1,4,1],[5,2],[1,1,2,1],[7,1,
1,1,2,-1,7,1],[8,1,6,1,8,-2,6,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,
4,1,2,1,4,1],[5,1,3,-1,5,-1,3,1,5,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,2,
1,1,2,-2,1,1,2,2,4,2]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-2,5,1,7,-1,5,1,7,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,-1,
5,1,7,2,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[
6,2,1,1,2,1],[5,1,7,1],[8,1,5,1,7,1,5,1,7,1,8,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1,6,-2,4,1,6,-1,4,1,6,1]],[[
1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[4,1,6,-1,4,
1,6,2,4,1,6,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,
2,5,-2],[4,1,6,1],[7,1,4,1,6,1,4,1,6,1,7,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[
1,1,2,-1,4,1,2,1,4,1],[3,1,5,-1,3,1,5,1]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,
2,-1,4,1,2,1,4,1],[5,1,3,1,5,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[2,
-2,1,-1,2,2,1,-1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,
-1],[6,2,1,1,2,1],[7,2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,
1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,
1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,
1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1,6,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,5,1]],[[2,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,
-1,4,-1,2,2,1,1],[5,1,3,-2,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,
1,2,1],[4,1,5,-2,4,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,
3,-2,5,-1]],[[2,1],[3,-3]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,
2],[6,1,5,-1,6,-1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,
-1,3,-1,5,-1,3,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,-1,4,-2]],[[
2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1,5,1,3,1]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,-1]]],[[[2,1],[1,1,2,1],[4,2,1,
1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,3,-1,5,-1],[7,1,6,-2,7,-1]],[[2,-1]],[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,2,5,1,3,-1,5,-1,3,1,5,1]],[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,2,5,-1,3,-1,5,
-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,-2,3,1,5,-1,3,-1,
5,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-1,3,1,5,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[4,-1,2,-2,4,1]]],[[[1,1,2,1],[3,2,
1,1,2,-1,3,-1,2,2,1,1],[4,2,2,-1,4,-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,
2,1,1],[5,1,3,1,5,1,3,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,
1,3,1,5,1],[6,1,3,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[4,-2,2,
2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,-1,3,1,5,1]],[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,-1,5,1,3,1]]],[[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,
1,2,-1,4,-1,2,2,1,1],[3,-1,5,-1,3,1,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,-2,3,-1,5,-2]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,1,5,1,3,-1,5,1,3,-1]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,
1,4,1],[5,1,3,1,4,-1,5,-2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,
1],[4,1,3,1],[6,1,5,-1,6,1,5,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1],[1,1,2,-1,1,1,2,1],[6,1,5,1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,2,4,-1],[1,1,2,-1,1,1,2,1],[5,1,6,1],[6,1,5,1],[8,1,7,-1,8,1,7,-1,6,
-1,7,-1]]],[[[1,1,2,-1,1,1,2,1],[3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1],[1,1,2,-1,1,1,2,1],[5,1,6,1],[6,1,5,1],[8,1,7,-1,8,1,7,-1,6,-1,7,
-1]]],[[[1,1,2,1,1,1,2,-1],[3,1,1,1,2,-2,1,1,2,2,1,1,3,-1]],[[1,1,2,-2,1,1,2,
2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,1,5,-1,4,-1,5,
-1]]],[[[2,1,1,1,2,-1,1,1,2,-1],[3,-3]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1],[2,1,
1,1,2,-1,1,1,2,-1],[4,1,5,1,4,1,5,-1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,
-1,4,1,2,1,4,1],[3,1,5,1],[5,1,6,1,3,1,6,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,
1],[4,2]],[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,2],[6,-1,3,
-2]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,1,3,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,-3]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[
1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[3,1,5,1,3,1,5,1,3,-1]],[[
1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-2,5,1]],[[1,1,2,
1],[1,1,2,-1,3,1,2,1,3,1],[4,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,1,2,
-2,1,-1,2,2,1,-1,4,1]],[[2,-2,1,-1,2,2,1,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,
3,1],[1,1,2,-2,1,1,2,2,4,1],[4,1,5,2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[4,
2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1],[1,1,2,-2,1,1,2,2,4,-3]],[[1,1,2,-2,1,
1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,1,3,1]],[[1,1,2,-2,1,1,2,
2],[3,-2]]],[[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,4,1],[4,1,3,1],[
6,1,5,-1,6,1,5,-1,4,-1,5,-1]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,
4,1],[4,-2,3,1,5,-1,4,1,5,2]],[[1,1,2,-2,1,1,2,2,1,1],[1,1,2,1,1,1,2,-1],[3,1,
4,1],[4,1,3,1,5,1,4,1,5,1]]],[[[1,1,2,-2,1,1,2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,
4,1],[3,-1,5,1,3,-1,5,-1]],[[1,1,2,-2,1,1,2,2],[3,-2]],[[1,1,2,1],[1,1,2,-1,3,
1,2,1,3,1],[4,2,2,-2,1,-1,2,2,1,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,
1,2,-1,4,-1],[3,1,5,-1,3,-1,5,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,
-1],[4,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,1,3,-1,5,
-1,3,1,5,-1,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,
5,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,6,1,3,1,
5,1]],[[2,-1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1,3,1,5,
-2]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,-1,3,1,5,1]]],[[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,3,1,6,-2]],[[2,
-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,-1,5,1]],[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1,3,-1,5,1,3,1,5,-1]]],[[[2,-2],[1,1,2,
1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1],[3,-1,6,2]],[[2,-2],[1,1,2,1],[4,
1,1,1,2,1,1,1,2,-1,4,-1],[3,-1,5,-2,3,-1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,
1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,
1,1,2,-1,4,-1],[3,1,5,1],[3,-1,5,-1,6,-1,5,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,2,-1,3,-1],[4,-2,2,-2,4,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,1,5,-1,3,1,5,-2,3,-1,5,-1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[5,1,3,-1,5,-2,3,1,5,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,
-1],[3,1,5,1],[5,1,3,-1,5,-1,3,-1,6,-2]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,
-1,4,-1],[3,1,5,-1,3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,1,3,1,5,-1]],[[2,2]],[[2,-2],[1,1,2,1],[4,
1,1,1,2,1,1,1,2,-1,4,-1],[5,-2,3,1,5,-2,3,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,
1,1,1,2,-1,4,-1],[3,1,5,-2,3,-1,5,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,
-1],[4,-1,2,-2,4,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,
-2,3,1,5,1]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[5,1,6,
1,3,1,5,-1,6,1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,-1,5,-2,
3,1,5,1,3,-1]],[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,-1,5,
-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,-2,3,-1,5,-2]],[[
2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[3,-1,6,-2]],[[2,-2],[1,
1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,-2,3,-1,5,1]]],[[[1,1,2,-2,1,1,
2,2],[1,1,2,1],[1,1,2,-1,4,1,2,1,4,1],[5,1,3,-1,5,1,3,1]],[[1,1,2,1],[1,1,2,
-1,3,1,2,1,3,1],[4,2]],[[1,1,2,-2,1,1,2,2],[3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,
1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1,6,2,4,1,6,1,4,1]],[[1,1,2,
1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,1,4,1,6,-1,4,1,
6,-2]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1],[2,1,1,1],[1,1,2,2,5,-2],[6,
1,4,1],[4,1,6,1,7,-1,6,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,2,5,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-1,5,1,7,-2]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1],[
5,1,7,1,8,-1,7,-1,8,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,
-1],[6,1,5,-1,3,-1,5,1,6,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,
-2,3,-1,5,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,
5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[2,1,4,1],[5,-2,4,1,5,1,4,1,5,
1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,2,3,1],[3,1,5,1,6,2]],[[2,
1],[3,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[3,1,5,-1,
6,1,5,1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[5,1,6,1,
5,-1,3,-1,6,-1]],[[2,1],[3,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,1,5,-2,3,-1,5,2,3,1,5,-1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[3,1,5,1],[6,1,3,-1,6,-1,5,-1,6,-1]],[[2,1],[3,2]]],[[[2,1],[1,1,2,1],[4,2,
1,1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,6,1,5,1,3,1,5,-1,6,-1]],[[2,1],[1,1,2,
1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2,5,-1,3,1,5,1]]],[[[2,1],[1,1,2,1],[4,2,1,
1,2,-1,4,-1,2,2,1,1],[3,1,5,1],[5,1,3,1],[6,1,7,1,5,-1,6,1,7,-1,5,-1]],[[2,
1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[3,2],[6,1,5,1,6,-1,3,-1,5,-1]],[[2,
1],[3,-2]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[5,1,6,-1,
5,-1,3,-1,5,1,6,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,1],[6,
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3,1,6,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[4,-2]],[[2,-2]]],[[[1,1,2,
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2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[5,1,7,-1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1],[1,1,2,-1],[6,2,1,1,2,1],[7,1,5,1,7,-2]]],[[[1,1,2,1],[
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1,1,2,-1,4,-1,2,2,1,1],[3,2],[5,-1,3,1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
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1],[3,1,5,1],[6,1,3,-2,6,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,1,
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4,-1,2,2,1,1],[3,-1,5,1,3,-1,5,1]],[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,
1],[5,1,3,2,5,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,-1,4,2]],[[
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2,-1,3,-1],[4,-2]]],[[[2,-2],[1,1,2,1],[4,1,1,1,2,1,1,1,2,-1,4,-1],[5,1,3,1,5,
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1,2,1,1,1,2,-1,4,-1],[3,1,5,1],[6,2,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,
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2,2,1,1],[5,-2,3,-1,5,-1,3,1,5,1]],[[2,1],[3,2]]],[[[1,1,2,-2,1,1,2,2]],[[1,1,
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2,2,1,1],[4,-2,2,-1,4,1]],[[2,1],[3,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,
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1,3,1]],[[2,1],[3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,2,1,3,1,4,1],[
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1,2,-1,3,1,4,1,2,1,4,-1,3,1],[5,2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1,3,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,2,-1],[5,2]],[[1,1,2,1],[2,2,1,
1,3,-1,2,1,3,1]]],[[[2,1],[1,1,2,1],[4,2,1,1,2,-1,4,-1,2,2,1,1],[5,1,3,2,5,
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4,1],[5,-2,4,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,-1]],[[2,1],[3,
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2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1],[4,2,2,-1]],[[2,1],[3,-2]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,3,-1,2,1,1,1]],[[2,1,1,1],[1,1,2,2,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,-1],[3,2,1,1,2,1]]],[[[1,1,2,1],[3,1,1,1,
2,1,1,1,2,-1,3,-1],[4,1,2,-2,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1],[2,
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1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,-2,1,1,2,2,1,
1]],[[1,1,2,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[1,
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1,1,1,2,-1,3,2]]],[[[2,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,2,1,1]]],[[[1,
1]],[[2,1]]]]);




LIBTOM( "U3(5)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,6],[1,7],[1,8],[1,9],[1,2,3,10],[1,2,3,
11],[1,12],[1,2,4,13],[1,2,4,14],[1,2,4,5,15],[1,3,16],[1,2,7,17],[1,2,8,18],[
1,2,6,19],[1,2,9,20],[1,2,3,5,11,21],[1,2,3,5,22],[1,2,3,5,23],[1,2,3,5,24],[
1,2,3,4,11,25],[1,2,3,5,10,11,26],[1,2,4,5,13,14,15,27],[1,2,3,10,16,28],[1,2,
4,9,20,29],[1,2,4,8,18,30],[1,2,4,7,17,31],[1,2,4,6,19,32],[1,3,12,33],[1,2,3,
4,11,13,34],[1,2,3,4,5,10,15,22,35],[1,2,3,4,5,10,15,23,36],[1,2,3,4,5,10,15,
24,37],[1,2,3,4,5,10,11,15,21,25,26,38],[1,8,9,39],[1,6,9,40],[1,7,9,41],[1,2,
3,4,10,16,28,42],[1,2,3,4,10,16,28,43],[1,2,3,5,11,16,21,22,23,24,44],[1,2,3,
4,10,16,28,45],[1,2,4,9,14,20,29,46],[1,2,3,4,5,10,11,13,14,15,26,27,34,47],[
1,2,7,9,17,20,41,48],[1,2,6,9,19,20,40,49],[1,2,8,9,18,20,39,50],[1,2,3,5,7,
10,17,23,51],[1,2,3,5,6,10,19,24,52],[1,2,3,5,8,10,18,22,53],[1,2,3,4,5,10,11,
15,16,21,22,23,24,25,26,28,35,36,37,38,44,54],[1,2,3,4,10,13,16,28,42,43,45,
55],[1,2,4,6,9,19,20,29,32,40,49,56],[1,2,4,7,9,17,20,29,31,41,48,57],[1,2,4,
8,9,18,20,29,30,39,50,58],[1,2,3,4,9,11,13,20,25,29,34,59],[1,2,3,4,5,6,10,11,
15,19,24,26,32,37,52,60],[1,2,3,4,5,8,10,11,15,18,22,26,30,35,53,61],[1,2,3,4,
5,7,10,11,15,17,23,26,31,36,51,62],[1,6,7,8,9,39,40,41,63],[1,2,3,4,5,10,12,
15,22,23,33,35,36,64],[1,2,3,4,5,10,12,15,22,24,33,35,37,65],[1,2,3,4,5,10,12,
15,23,24,33,36,37,66],[1,2,3,4,5,9,10,11,13,14,15,20,21,25,26,27,29,34,38,46,
47,59,67],[1,2,6,7,8,9,17,18,19,20,39,40,41,48,49,50,63,68],[1,2,3,4,5,7,10,
15,16,17,23,28,36,43,51,69],[1,2,3,4,5,8,10,15,16,18,22,28,35,42,53,70],[1,2,
3,4,5,6,10,15,16,19,24,28,37,45,52,71],[1,2,4,6,7,8,9,17,18,19,20,29,30,31,32,
39,40,41,48,49,50,56,57,58,63,68,72],[1,2,3,4,5,8,10,13,14,15,16,18,22,27,28,
30,35,42,43,45,53,55,70,73],[1,2,3,4,5,6,10,13,14,15,16,19,24,27,28,32,37,42,
43,45,52,55,71,74],[1,2,3,4,5,7,10,13,14,15,16,17,23,27,28,31,36,42,43,45,51,
55,69,75],[1,2,4,6,7,8,9,14,17,18,19,20,29,30,31,32,39,40,41,46,48,49,50,56,
57,58,63,68,72,76],[1,2,3,4,5,8,10,11,12,15,16,18,21,22,23,24,25,26,28,30,33,
35,36,37,38,42,44,53,54,61,64,65,70,77],[1,2,3,4,5,6,10,11,12,15,16,19,21,22,
23,24,25,26,28,32,33,35,36,37,38,44,45,52,54,60,65,66,71,78],[1,2,3,4,5,7,10,
11,12,15,16,17,21,22,23,24,25,26,28,31,33,35,36,37,38,43,44,51,54,62,64,66,69,
79],[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]],
0,[[1],[1,1],[1,1],[1,1,1],[1,3,1],[1,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,1,1,
1],[1,1],[1,1,3,1],[1,1,1,1],[1,5,1,2,1],[1,4,1],[1,5,1,1],[1,5,1,1],[1,5,1,
1],[1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,3,1,1],[
1,7,1,3,2,1,1],[1,5,3,2,1,1,1,1],[1,9,4,12,1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[
1,5,5,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,9,4,3,4,4,3,1,1],[1,9,
4,3,4,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,9,1,3,4,2,3,3,1,1,1,1],[1,5,1,1],[1,5,1,
1],[1,5,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,13,1,3,4,1,1,1,1,1],[
1,9,4,9,12,1,1,1],[1,1,5,1,5,1,1,1],[1,13,4,3,6,8,4,1,3,3,4,3,1,1],[1,5,5,1,1,
5,1,1],[1,5,5,1,1,5,1,1],[1,5,5,1,1,5,1,1],[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],[1,21,13,9,10,42,3,9,4,1,1,1,1,3,3,4,3,3,3,
3,1,1],[1,9,4,27,12,9,1,1,1,1,1,1],[1,5,25,5,1,1,5,5,5,1,1,1],[1,5,25,5,1,1,5,
5,5,1,1,1],[1,5,25,5,1,1,5,5,5,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,25,10,
15,20,6,20,10,15,6,5,10,6,5,1,1],[1,25,10,15,20,6,20,10,15,6,5,10,6,5,1,1],[1,
25,10,15,20,6,20,10,15,6,5,10,6,5,1,1],[1,10,10,10,1,2,2,2,1],[1,21,28,21,14,
28,8,21,7,7,8,7,7,1],[1,21,28,21,14,28,8,21,7,7,8,7,7,1],[1,21,28,21,14,28,8,
21,7,7,8,7,7,1],[1,21,10,15,10,6,20,30,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[
1,25,10,10,10,1,10,10,10,25,2,2,2,10,10,10,1,1],[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,
40,45,30,36,120,45,10,36,30,10,30,10,12,1],[1,25,125,10,10,10,1,10,10,10,25,
25,50,50,50,2,2,2,10,10,10,10,10,10,1,1,1],[1,45,40,135,30,36,120,45,45,45,10,
36,30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,
30,45,10,36,30,10,10,10,12,10,1,1],[1,45,40,135,30,36,120,45,45,45,10,36,30,
45,10,36,30,10,10,10,12,10,1,1],[1,25,125,10,10,10,1,125,10,10,10,25,25,50,50,
50,2,2,2,25,10,10,10,10,10,10,1,1,1,1],[1,105,175,315,140,126,630,105,120,315,
70,126,35,140,35,35,105,105,70,126,120,210,105,105,105,70,35,63,35,21,15,15,7,
1],[1,105,175,315,140,126,630,105,120,315,70,126,35,35,35,140,105,105,70,126,
120,105,105,210,105,35,70,63,35,21,15,15,7,1],[1,105,175,315,140,126,630,105,
120,315,70,126,35,35,140,35,105,105,70,126,120,105,210,105,105,70,35,63,35,21,
15,15,7,1],[1,525,1750,7875,1750,1260,1260,1260,126,10500,5250,6000,2625,7875,
7875,1750,1260,1260,1260,3150,1750,1750,1750,1750,5250,5250,7875,1750,3150,
6300,6300,6300,6000,2625,5250,5250,5250,5250,252,252,252,1750,1750,1750,1750,
3150,2625,1260,1260,1260,1050,1050,1050,1750,1750,1260,1260,1260,525,1050,
1050,1050,126,750,750,750,525,126,175,175,175,126,175,175,175,126,50,50,50,
1]],
[1,2,3,4,4,5,5,5,5,6,6,7,8,8,8,9,10,10,10,10,12,12,12,12,12,12,16,18,20,20,20,
20,21,24,24,24,24,24,25,25,25,36,36,36,36,40,48,50,50,50,60,60,60,72,72,100,
100,100,120,120,120,120,125,168,168,168,240,250,360,360,360,500,720,720,720,
1000,2520,2520,2520,126000],
[80,67,54,27,54,56,57,58,76,26,38,33,47,27,27,55,57,58,56,46,54,54,54,54,38,
38,27,55,46,30,31,32,33,47,35,36,37,38,72,72,72,55,55,54,55,46,47,57,56,58,62,
60,61,54,55,56,57,58,67,60,61,62,76,64,65,66,67,76,75,73,74,76,73,74,75,76,77,
78,79,80],
[1,1,1,1,1,1,1,1,1,3,1,1,2,1,2,1,7,8,6,1,1,5,5,5,3,3,4,16,9,8,7,6,12,13,22,23,
24,11,1,1,1,16,16,5,16,9,34,7,6,8,51,52,53,44,28,40,41,39,59,52,53,51,9,64,65,
66,59,63,69,70,71,63,70,71,69,63,77,78,79,80],
[( 3,16, 9)( 4, 7,20)( 5,10,28)( 6,22,13)( 8,34,23)(11,18,38)(12,40,33)
(14,32,36)(15,37,44)(17,39,43)(19,24,35)(21,41,31)(25,45,27)(29,50,30)
(42,46,48),( 1,25,13,22,36)( 2,27,20, 4,43)( 3,17,19, 5,21)( 6,38,15,35,28)
( 7,18,44,30, 9)( 8,24,42,33,39)(10,32,50,16,41)(11,46,26,47,45)
(12,31,37,34,49)(14,23,29,48,40)],
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-1,2,1,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,
-1,4,-1]]],[[[1,1,2,2,1,-1,2,2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[2,1,1,1,2,2,1,
-1,2,1]],[[2,1,1,-1,2,1,1,1,2,-2]]],[[[2,1,1,1,2,1],[3,2,1,-1]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1],[1,-1,2,1,3,2,2,1]],[[2,1,1,1,2,1],[3,2,1,-1]],[[1,1,2,1,1,
-1,2,1,1,-1,2,1]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-2]],[[2,1,1,1,2,1]]],[[[1,-1],[
3,1,2,-1,1,-1,2,-2,1,1,2,-1,3,-1]],[[2,1,1,-1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,
-1,2,-1,3,-2]],[[2,2,1,1]]],[[[1,-1,2,1,1,-1,2,2,1,1,2,-1]],[[1,1,2,-2,1,-1,2,
-1,1,-1]]],[[[1,-1,2,1,1,-1,2,-1,1,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,
1]]],[[[2,1,1,-1,2,1],[3,1,1,1,3,-1]],[[2,1,1,1],[2,1,3,2]]],[[[2,1,1,-1,2,-1,
1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,1]]],[[[1,1]],[[2,1]]]]);
ACLT( "U3(5)",
"sortperm",( 6, 7, 8)(13,15)(17,19,18)(21,22,26)(23,24,25)(29,32,30)(34,38)
(43,45,44)(48,50)(51,53)(56,57,58)(59,62,61)(64,65)(69,71,70));


LIBTOM( "U3(4)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,6],[1,7],[1,2,3,8],[1,2,4,5,9],[1,2,6,
10],[1,2,7,11],[1,2,3,4,12],[1,13],[1,3,6,14],[1,2,4,5,9,15],[1,2,4,5,9,16],[
1,2,4,5,9,17],[1,2,4,6,10,18],[1,6,7,19],[1,2,3,6,8,10,14,20],[1,2,4,5,9,15,
16,17,21],[1,3,13,22],[1,2,3,4,5,9,12,15,23],[1,2,6,7,10,11,19,24],[1,2,3,4,6,
10,12,14,18,25],[1,2,3,4,7,8,11,12,26],[1,2,4,5,9,15,16,17,21,27],[1,3,6,7,19,
28],[1,2,3,6,7,8,10,11,19,24,28,29],[1,2,3,4,5,9,12,15,16,17,21,23,27,30],[1,
2,3,4,6,7,8,10,11,12,14,18,19,20,24,25,26,31],[1,2,4,5,6,9,10,15,16,17,18,21,
27,32],[1,2,3,4,5,6,9,10,12,14,15,16,17,18,21,23,25,27,30,32,33],[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]],
0,[[1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,2,1],[1,1,1,
1],[1,5,1,1],[1,3,4,1,1],[1,1],[1,1,1,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,6,
3,1],[1,3,1,1,3,1],[1,3,3,1],[1,3,1,1,1,3,1,1],[1,3,1,14,7,1,3,3,1],[1,13,1,
1],[1,3,16,1,6,3,4,1,1],[1,5,3,3,5,1,1,1],[1,3,4,1,1,3,1,4,1,1],[1,15,10,5,6,
10,6,5,1],[1,3,1,30,15,5,15,15,15,1],[1,25,3,3,1,1],[1,15,25,3,3,25,15,3,1,3,
1,1],[1,3,64,1,30,15,16,5,15,15,15,20,1,1],[1,15,10,5,13,18,10,15,6,5,10,5,6,
10,6,5,1,1],[1,3,1,30,16,15,48,5,15,15,16,15,1,1],[1,3,64,1,30,16,15,48,16,64,
5,15,15,16,15,20,16,1,1,1,1],[1,195,2080,65,1950,208,1248,2080,975,3120,1248,
1040,1600,2080,325,975,975,1040,416,2080,975,1600,1300,1248,1040,208,65,416,
416,65,208,65,65,1]],
[1,2,3,4,4,5,5,6,8,10,10,12,13,15,16,16,16,20,25,30,32,39,48,50,60,60,64,75,
150,192,300,320,960,62400],
[34,32,20,33,21,31,24,20,27,18,24,25,22,20,30,27,27,25,29,20,27,22,23,24,25,
31,33,29,29,33,31,33,33,34],
[1,1,1,1,1,1,1,3,1,1,7,4,1,1,1,2,2,1,1,3,4,13,15,7,4,26,4,19,28,27,26,27,27,
34],
[( 1, 6)( 2,12)( 3,26)( 4,64)( 5,36)( 7,18)( 8,57)( 9,34)(10,43)(11,16)(13,30)
(14,44)(15,29)(17,23)(19,45)(20,24)(21,50)(22,56)(25,61)(27,48)(28,52)(31,38)
(32,60)(33,63)(35,55)(37,49)(40,53)(41,47)(42,65)(46,62)(51,54)(58,59),
( 1,65,20)( 2,41, 7)( 3,39,38)( 4,29,56)( 5,62,11)( 6,45,28)( 8,24,34)
( 9,37,14)(10,36,55)(13,16,21)(15,31,42)(17,52,47)(18,53,61)(19,46,32)
(22,59,26)(25,35,58)(27,64,60)(30,33,51)(40,48,44)(43,57,63)(49,54,50)],
[[[[]]],[[[1,1]]],[[[2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1],[6,1,4,
2,3,-1,5,-1,2,1,4,-1,1,1,3,-1,5,-1,3,-1,2,-1,6,-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],[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],[5,1,3,1,1,1,4,1,6,-1,4,
-1,2,-1,3,2,4,1,5,-1,6,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[
1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,1,2,1,5,-1,4,2,3,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[2,1,1,1],[2,-1,3,-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],[1,1,2,-1],[4,2,3,2,1,1,2,1,1,1]]],[[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,
1,3,2,1,1,2,-1,1,1,3,-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],[4,1,3,-1,4,2,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1],[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],[3,2,4,1,5,-1,6,-1,5,1,3,1,1,1,4,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,3,2,4,1,6,-1,5,1,1,1,3,-1,4,1,6,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,2,-1,3,-1,5,-1,3,-1,2,-1,3,1,1,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-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],[4,1,3,-1,4,2,3,-2,2,-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],[2,1,1,1],[3,2],[5,1,4,-1,5,
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],[3,2,4,1,3,-1,4,1,2,-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],[1,1,2,-1],[2,1,3,1],[5,1,3,2,4,1,6,-2,2,1,4,1,3,
-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,
-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2,1,1,4,1,5,-1,4,1,3,-2,
5,-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],[
2,1,3,1],[2,1,1,1,3,-1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,3,3,-1]],[[1,1,2,
-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-1,1,1,2,-1,3,1,1,1,4,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,
1,3,2,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,1,1,1,4,1],[6,1,7,1,5,
-1,2,1,4,1,6,1,7,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[5,1,4,
-1,1,1,3,-1,6,-1,3,2,4,1,5,-1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[2,-1,4,-1,3,-2,5,-1,6,1,4,-1,1,1,3,-1,5,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,3,1],[3,2,4,-1,5,1,6,-2,2,1,5,-1,4,2,3,-1]]],[[[2,1,1,1],[1,1,2,
1,1,1,3,1,2,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,2,1,3,2,4,-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],[1,1,2,-1],[3,2,4,1,5,-1,2,-1,5,1,4,-1,3,1,4,-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],[3,2],[5,1,6,1,4,
1,2,1,5,-1,4,1,6,-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,2,3,-2,2,-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],[4,1,3,-1,4,2,3,-2,2,-1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "U3(11)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,7],[1,2,3,8],[1,2,3,9],[1,2,5,
10],[1,2,4,5,6,11],[1,2,4,12],[1,2,5,6,13],[1,3,14],[1,2,7,15],[1,2,7,16],[1,
17],[1,18],[1,19],[1,20],[1,2,3,6,8,21],[1,2,3,5,8,22],[1,2,3,4,8,23],[1,2,3,
6,24],[1,2,3,6,25],[1,2,3,6,26],[1,2,3,5,8,27],[1,2,3,6,8,9,28],[1,2,4,5,6,11,
29],[1,2,4,5,6,10,11,13,30],[1,2,4,5,6,11,12,31],[1,2,3,9,14,32],[1,2,5,7,15,
33],[1,2,4,7,15,34],[1,2,6,7,15,16,35],[1,2,19,36],[1,2,20,37],[1,2,18,38],[1,
2,17,39],[1,2,3,5,8,10,22,27,40],[1,2,3,4,5,6,8,11,21,22,23,41],[1,2,3,5,8,10,
42],[1,2,3,5,6,8,9,13,22,28,43],[1,2,3,4,5,6,8,9,11,23,27,28,44],[1,2,3,5,6,8,
9,13,21,27,28,45],[1,2,3,4,8,12,23,46],[1,2,3,5,6,9,13,25,47],[1,2,3,5,6,9,13,
26,48],[1,2,3,5,6,9,13,24,49],[1,2,4,5,6,10,11,12,13,29,30,31,50],[1,2,3,6,8,
14,21,24,25,26,51],[1,2,3,5,9,14,32,52],[1,2,3,5,9,14,32,53],[1,2,3,5,9,14,32,
54],[1,55],[1,2,4,5,6,7,11,15,16,33,34,35,56],[1,2,4,7,12,15,34,57],[1,2,4,7,
12,15,34,58],[1,2,4,17,39,59],[1,2,3,4,5,6,11,26,29,60],[1,2,3,4,5,6,11,24,29,
61],[1,2,3,4,5,6,11,25,29,62],[1,2,3,4,5,6,8,11,21,22,23,29,41,63],[1,2,3,4,5,
6,8,9,10,11,13,21,22,23,27,28,30,40,41,43,44,45,64],[1,2,3,4,5,6,8,11,12,21,
22,23,31,41,46,65],[1,2,3,4,5,6,8,10,11,13,23,30,42,66],[1,7,17,67],[1,7,20,
68],[1,7,19,69],[1,7,18,70],[1,2,3,6,7,9,16,25,71],[1,2,3,6,7,9,16,24,72],[1,
2,3,6,7,9,16,26,73],[1,2,3,5,6,8,9,13,14,21,24,25,26,27,28,32,45,47,48,49,51,
74],[1,2,3,5,9,10,14,32,52,53,54,75],[1,2,4,5,6,7,11,12,15,16,31,33,34,35,56,
57,58,76],[1,2,4,12,17,39,59,77],[1,2,3,4,5,6,9,10,11,12,13,24,29,30,31,49,50,
61,78],[1,2,3,4,5,6,9,10,11,12,13,25,29,30,31,47,50,62,79],[1,2,3,4,5,6,9,10,
11,12,13,26,29,30,31,48,50,60,80],[1,2,3,4,5,6,8,9,10,11,12,13,21,22,23,27,28,
29,30,31,40,41,43,44,45,46,50,63,64,65,81],[1,2,3,4,5,6,8,10,11,12,13,23,29,
30,31,42,46,50,66,82],[1,2,7,15,17,39,67,83],[1,2,7,15,18,38,70,84],[1,2,7,15,
19,36,69,85],[1,2,7,15,20,37,68,86],[1,3,55,87],[1,2,3,5,7,8,10,15,27,33,42,
88],[1,17,20,89],[1,17,19,90],[1,17,18,91],[1,2,3,4,5,6,8,11,14,21,22,23,24,
25,26,29,41,51,60,61,62,63,92],[1,2,4,7,15,17,34,39,59,67,83,93],[1,2,3,4,5,6,
7,8,9,10,11,13,15,16,23,27,28,30,33,34,35,42,44,56,66,88,94],[1,2,17,18,38,39,
91,95],[1,2,17,19,36,39,90,96],[1,2,17,20,37,39,89,97],[1,2,3,4,5,6,8,9,10,11,
12,13,14,21,22,23,24,25,26,27,28,29,30,31,32,40,41,43,44,45,46,47,48,49,50,51,
60,61,62,63,64,65,74,78,79,80,81,92,98],[1,2,3,5,6,7,9,13,14,16,25,26,32,47,
48,54,71,73,99],[1,2,3,5,6,7,9,13,14,16,24,25,32,47,49,53,71,72,100],[1,2,3,5,
6,7,9,13,14,16,24,26,32,48,49,52,72,73,101],[1,2,4,7,12,15,17,34,39,58,59,67,
77,83,93,102],[1,7,17,18,67,70,91,103],[1,7,17,19,67,69,90,104],[1,7,17,20,67,
68,89,105],[1,2,3,6,7,8,9,16,18,24,28,70,72,106],[1,2,3,6,7,8,9,16,20,26,28,
68,73,107],[1,2,3,6,7,8,9,16,19,25,28,69,71,108],[1,2,7,15,17,20,37,39,67,68,
83,86,89,97,105,109],[1,2,7,15,17,19,36,39,67,69,83,85,90,96,104,110],[1,2,7,
15,17,18,38,39,67,70,83,84,91,95,103,111],[1,2,3,5,7,8,10,15,17,22,27,33,39,
40,42,67,83,88,112],[1,2,3,5,6,7,8,9,13,15,16,20,22,26,28,35,37,43,48,68,73,
86,107,113],[1,2,3,5,6,7,8,9,13,15,16,19,22,25,28,35,36,43,47,69,71,85,108,
114],[1,2,3,5,6,7,8,9,13,15,16,18,22,24,28,35,38,43,49,70,72,84,106,115],[1,
17,18,19,20,89,90,91,116],[1,2,3,4,5,6,7,8,9,10,11,13,15,16,17,21,22,23,27,28,
30,33,34,35,39,40,41,42,43,44,45,56,59,64,66,67,83,88,93,94,112,117],[1,2,17,
18,19,20,36,37,38,39,89,90,91,95,96,97,116,118],[1,2,3,4,5,6,7,8,9,10,11,12,
13,15,16,17,21,22,23,27,28,29,30,31,33,34,35,39,40,41,42,43,44,45,46,50,56,57,
58,59,63,64,65,66,67,76,77,81,82,83,88,93,94,102,112,117,119],[1,2,4,17,18,19,
20,36,37,38,39,59,89,90,91,95,96,97,116,118,120],[1,7,17,18,19,20,67,68,69,70,
89,90,91,103,104,105,116,121],[1,2,4,12,17,18,19,20,36,37,38,39,59,77,89,90,
91,95,96,97,116,118,120,122],[1,2,7,15,17,18,19,20,36,37,38,39,67,68,69,70,83,
84,85,86,89,90,91,95,96,97,103,104,105,109,110,111,116,118,121,123],[1,2,4,7,
15,17,18,19,20,34,36,37,38,39,59,67,68,69,70,83,84,85,86,89,90,91,93,95,96,97,
103,104,105,109,110,111,116,118,120,121,123,124],[1,2,4,7,12,15,17,18,19,20,
34,36,37,38,39,58,59,67,68,69,70,77,83,84,85,86,89,90,91,93,95,96,97,102,103,
104,105,109,110,111,116,118,120,121,122,123,124,125],[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]],
0,[[1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,1],[1,1,1,1],[1,3,1,1],[1,1,3,
1],[1,3,1,1,1,1],[1,1,1,1],[1,5,1,2,1],[1,4,1],[1,1,1,1],[1,5,1,1],[1,1],[1,
1],[1,1],[1,1],[1,3,1,1,3,1],[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],[1,1,1,3,1,1],[1,7,1,3,1,2,1],[1,3,3,3,1,3,1],[1,7,1,3,3,1,3,3,
1],[1,3,1,1,1,1,2,1],[1,9,4,12,1,1],[1,1,5,1,1,1],[1,1,1,1,1,1],[1,11,5,1,1,2,
1],[1,11,1,1],[1,11,1,1],[1,11,1,1],[1,1,1,1],[1,1,1,7,1,3,1,2,1],[1,3,1,1,1,
1,3,1,1,1,1,1],[1,1,4,3,4,1,1],[1,13,1,1,6,1,4,3,1,2,1],[1,7,1,1,3,3,1,2,3,1,
1,1,1],[1,9,1,3,4,3,2,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,9,4,3,4,4,3,1,1],[1,9,4,
3,4,4,3,1,1],[1,9,4,3,4,4,3,1,1],[1,7,3,5,3,1,5,2,3,1,1,1,1],[1,3,13,1,3,4,1,
1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1],[1,11,
1,5,5,1,5,1,2,1,1,1,1],[1,1,1,1,5,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,3,
16,3,3,1,3,4,1,1],[1,3,16,3,3,1,3,4,1,1],[1,3,16,3,3,1,3,4,1,1],[1,3,1,3,3,1,
3,3,1,3,3,1,3,1],[1,15,1,1,7,7,3,4,3,7,9,1,1,1,2,2,3,1,1,1,2,2,1],[1,3,1,1,1,
1,3,1,6,1,1,1,3,1,2,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[1,11,1,1],[1,11,1,1],[1,
11,1,1],[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],[1,21,13,9,10,3,42,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,9,4,27,12,9,1,
1,1,1,1,1],[1,11,1,5,5,1,5,6,1,2,5,1,1,1,1,1,1,1],[1,1,1,11,1,1,1,1],[1,15,16,
3,9,7,16,3,9,6,9,4,1,3,3,4,3,1,1],[1,15,16,3,9,7,16,3,9,6,9,4,1,3,3,4,3,1,1],[
1,15,16,3,9,7,16,3,9,6,9,4,1,3,3,4,3,1,1],[1,15,1,3,9,7,3,4,3,9,6,9,1,3,3,2,2,
1,3,3,1,3,1,2,2,2,3,1,1,1,1],[1,7,4,7,9,3,4,1,9,6,3,4,3,1,3,1,4,3,1,1],[1,1,
11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,1],[1,11,11,11,1,1,1,
1],[1,37,1,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,11,1],[1,1,11,1],[1,1,11,1],[
1,3,49,3,3,1,3,3,16,1,3,3,4,4,4,1,3,4,1,1,1,1,1],[1,1,1,11,11,1,11,1,1,1,1,
1],[1,31,10,1,15,15,6,10,20,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,11,
1,11,1,11,1,1],[1,11,1,11,1,11,1,1],[1,11,1,11,1,11,1,1],[1,39,49,3,21,19,3,
156,9,21,18,27,16,1,3,3,4,4,4,6,6,1,9,9,16,3,3,3,6,6,6,12,12,12,9,4,1,1,1,1,3,
3,4,3,3,3,3,1,1],[1,45,40,45,30,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,
45,40,45,30,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,45,40,45,30,36,120,45,
10,36,15,15,10,15,15,10,6,6,1],[1,1,1,11,11,11,1,11,1,11,1,1,1,1,1,1],[1,121,
1,11,11,11,1,1],[1,121,1,11,11,11,1,1],[1,121,1,11,11,11,1,1],[1,55,55,55,66,
55,110,66,12,55,55,12,22,1],[1,55,55,55,66,55,110,66,12,55,55,12,22,1],[1,55,
55,55,66,55,110,66,12,55,55,12,22,1],[1,11,121,121,1,11,1,11,11,11,11,11,1,1,
1,1],[1,11,121,121,1,11,1,11,11,11,11,11,1,1,1,1],[1,11,121,121,1,11,1,11,11,
11,11,11,1,1,1,1],[1,1,55,55,66,55,55,66,12,55,110,66,12,55,55,12,12,22,1],[1,
121,55,55,220,66,55,220,165,66,132,12,55,55,110,66,12,55,55,12,22,12,1,1],[1,
121,55,55,220,66,55,220,165,66,132,12,55,55,110,66,12,55,55,12,22,12,1,1],[1,
121,55,55,220,66,55,220,165,66,132,12,55,55,110,66,12,55,55,12,22,12,1,1],[1,
1,44,44,44,4,4,4,1],[1,111,55,1,55,55,66,165,220,55,55,165,66,132,12,55,55,55,
110,110,55,66,66,66,12,55,55,55,55,110,110,66,12,55,55,12,12,22,12,22,1,1],[1,
121,1,44,44,44,44,44,44,121,4,4,4,44,44,44,1,1],[1,111,55,111,165,55,66,165,
220,55,165,66,165,66,132,12,55,165,165,110,110,55,55,165,66,66,66,12,55,165,
55,55,110,110,110,165,66,66,66,12,55,55,55,55,12,66,12,55,55,12,22,12,22,12,1,
1,1],[1,121,121,1,44,44,44,44,44,44,121,121,4,4,4,44,44,44,1,1,1],[1,1331,1,
44,44,44,121,484,484,484,4,4,4,44,44,44,1,1],[1,121,121,1331,1,44,44,44,44,44,
44,121,121,121,4,4,4,44,44,44,1,1,1,1],[1,121,1331,1331,1,44,44,44,44,44,44,
121,121,484,484,484,121,484,484,484,4,4,4,44,44,44,44,44,44,44,44,44,1,1,1,
1],[1,121,121,1331,1331,1,44,44,44,1331,44,44,44,121,121,121,484,484,484,121,
484,484,484,4,4,4,121,44,44,44,44,44,44,44,44,44,1,1,1,1,1,1],[1,121,121,1331,
1331,1331,1,44,44,44,1331,44,44,44,121,1331,121,121,484,484,484,121,121,484,
484,484,4,4,4,121,44,44,44,121,44,44,44,44,44,44,1,1,1,1,1,1,1,1],[1,13431,
246235,13431,738705,246235,886446,738705,2954820,738705,738705,886446,2216115,
984940,886446,1772892,1332,58608,58608,58608,246235,738705,738705,984940,
984940,984940,1477410,1477410,246235,738705,2216115,984940,886446,886446,
886446,58608,58608,58608,161172,738705,738705,738705,738705,1477410,1477410,
1477410,2954820,2954820,2954820,2216115,984940,984940,984940,984940,638880,
886446,886446,886446,161172,246235,246235,246235,246235,738705,738705,738705,
161172,644688,644688,644688,1181928,1181928,1181928,984940,984940,886446,
161172,738705,738705,738705,738705,738705,161172,644688,644688,644688,638880,
295482,5328,5328,5328,246235,161172,295482,58608,58608,58608,246235,196988,
196988,196988,161172,58608,58608,58608,53724,53724,53724,58608,58608,58608,
13431,53724,53724,53724,1332,13431,1332,13431,1332,1332,1332,1332,1332,1332,
1]],
[1,2,3,4,4,4,5,6,6,8,8,8,8,9,10,10,11,11,11,11,12,12,12,12,12,12,12,12,16,16,
16,18,20,20,20,22,22,22,22,24,24,24,24,24,24,24,24,24,24,32,36,36,36,36,37,40,
40,40,44,48,48,48,48,48,48,48,55,55,55,55,60,60,60,72,72,80,88,96,96,96,96,96,
110,110,110,110,111,120,121,121,121,144,220,240,242,242,242,288,360,360,360,
440,605,605,605,660,660,660,1210,1210,1210,1320,1320,1320,1320,1331,2640,2662,
5280,5324,6655,10648,13310,26620,53240,70915680],
[126,119,98,119,81,98,76,81,44,82,81,76,50,75,76,56,125,111,110,109,98,81,81,
74,74,74,64,64,98,82,50,75,76,76,76,110,109,111,102,81,81,82,81,64,64,65,47,
48,49,50,74,75,75,75,87,76,76,76,102,98,98,98,98,81,81,82,102,86,85,84,71,72,
73,74,75,76,102,78,79,80,81,82,102,84,85,86,87,94,123,123,123,98,102,94,111,
110,109,98,99,100,101,102,111,110,109,115,113,114,109,110,111,119,113,114,115,
125,119,125,119,125,125,125,125,125,125,126],
[1,1,1,1,1,1,1,1,3,2,1,1,2,1,1,7,1,1,1,1,1,1,1,6,6,6,3,3,1,2,2,14,7,1,7,19,20,
18,1,8,1,10,8,3,8,3,25,26,24,5,6,14,14,14,1,7,7,1,1,29,29,29,1,8,8,10,17,20,
19,18,71,72,73,51,32,15,17,61,62,60,22,42,17,18,19,20,55,88,1,1,1,29,17,88,18,
19,20,92,99,100,101,17,91,90,89,106,107,108,89,90,91,112,107,108,106,17,112,
116,112,116,116,116,116,116,116,126],
[(   1,1008,  18)(   2,1188, 533)(   3, 395, 443)(   4, 845, 214)
(   5, 428, 530)(   6, 901, 886)(   7,  65, 380)(   8, 195,1268)
(   9, 981,1150)(  10, 802, 872)(  11, 622,  73)(  12, 468,  72)
(  13,1187, 270)(  14,1232, 689)(  15, 282,1175)(  16, 912,  61)
(  17, 436, 623)(  19,  91, 884)(  20, 368, 851)(  21, 842, 250)
(  22,1102, 426)(  23,1246, 948)(  24, 492, 359)(  25, 895, 110)
(  26, 370, 813)(  27, 643, 123)(  28, 565,1123)(  29, 583, 528)
(  30, 400, 531)(  31, 529, 285)(  32, 593,1312)(  33, 747,1073)
(  34, 171, 594)(  35,1092, 829)(  36,1016, 242)(  37,1013,1072)
(  38, 514, 194)(  39, 306, 592)(  40, 424,1274)(  41, 973, 578)
(  42, 481, 175)(  43, 457, 596)(  44, 703,1253)(  45,1313,1183)
(  46, 265,1297)(  47, 345, 844)(  48, 539, 418)(  49, 936, 737)
(  50, 404,  51)(  52, 887, 898)(  53,1147,1124)(  54, 134, 449)
(  55,1231, 962)(  56,1058, 661)(  57,1303, 479)(  58,1195, 384)
(  59, 277, 521)(  60, 465, 678)(  62, 906, 894)(  63,1276, 471)
(  64,1142,1302)(  66, 612, 666)(  67, 390, 631)(  68,1113, 256)
(  69, 235, 942)(  70, 791,1228)(  71, 144, 324)(  74,1193, 225)
(  75, 310, 861)(  76, 542, 766)(  77, 825,1299)(  78, 140,1048)
(  79, 535, 249)(  80, 229, 863)(  81, 116, 476)(  82,1190, 629)
(  83, 721, 893)(  84,1133, 716)(  85, 954, 570)(  86, 435, 189)
(  87, 385,1038)(  88,1140,1260)(  89,1296,1029)(  90, 667, 660)
(  92, 497,1104)(  93, 693, 620)(  94, 425,1021)(  95,1234,1215)
(  96, 615,1035)(  97,1300, 410)(  98, 420, 486)(  99, 969, 512)
( 100, 711, 932)( 101, 230, 609)( 102,1304, 111)( 103, 105,1107)
( 104,1054, 419)( 106,1321, 128)( 107, 489, 847)( 108, 604, 178)
( 109, 505, 444)( 112, 647, 986)( 113, 961, 346)( 114,1027, 869)
( 115, 362,1320)( 117, 248, 197)( 118, 417,1042)( 119, 611, 702)
( 120, 377,1266)( 121,1275,1036)( 122, 733, 811)( 124,1159, 162)
( 125, 536,1172)( 126, 883, 878)( 127, 768, 257)( 129,1052,1205)
( 130, 209, 965)( 131, 498,1250)( 132, 181, 819)( 133,1254, 301)
( 135, 588, 450)( 136, 176, 742)( 137, 795, 975)( 138, 507, 579)
( 139,1018, 865)( 141,1262, 503)( 142, 289, 484)( 143, 174, 317)
( 145, 779, 655)( 146, 935, 274)( 147,1176, 262)( 148, 996, 914)
( 149, 199, 793)( 150, 907, 695)( 151, 916, 297)( 152,1163, 997)
( 153,1226, 320)( 154,1325,1154)( 155, 482, 801)( 156,1324, 976)
( 157,1311, 750)( 158, 672, 684)( 159, 952, 959)( 160, 908, 595)
( 161, 987, 319)( 163, 652, 217)( 164,1240, 442)( 165,1208, 543)
( 166, 740,1043)( 167, 523, 723)( 168,1014,1091)( 169, 810, 462)
( 170, 751, 835)( 172, 321, 183)( 173, 879, 452)( 177, 968, 231)
( 179, 978,1119)( 180, 204,1070)( 182, 658, 809)( 184,1081, 218)
( 185,1093, 754)( 186, 769, 832)( 187,1069, 441)( 188, 348, 656)
( 190, 389, 353)( 191, 870, 302)( 192,1003, 897)( 193, 624, 710)
( 196, 439, 606)( 198, 599,1199)( 200,1055,1066)( 201,1143,1258)
( 202, 429, 555)( 203, 938, 767)( 205, 264, 827)( 206,1106, 357)
( 207, 638, 316)( 208, 556, 307)( 210,1105, 762)( 211, 376, 641)
( 212, 871, 782)( 213, 955, 875)( 215, 896,1318)( 216, 788, 676)
( 219,1178, 554)( 220,1131, 818)( 221, 571, 874)( 222,1201, 653)
( 223, 822,1025)( 224, 852,1065)( 226,1284,1010)( 227, 459,1097)
( 228, 513, 399)( 232, 763, 308)( 233,1128, 730)( 234, 691,1157)
( 236,1166,1207)( 237,1247, 794)( 238,1280, 807)( 239,1245,1114)
( 240,1191, 337)( 241,1002, 709)( 243, 373, 971)( 244,1295, 252)
( 245, 253,1053)( 246, 881,1110)( 247, 876, 619)( 251,1129, 853)
( 254,1062,1293)( 255, 717, 830)( 258, 715, 674)( 259, 343, 407)
( 260, 360,1146)( 261, 980, 984)( 263, 437, 957)( 266,1148,1109)
( 267,1004,1078)( 268, 402, 421)( 269,1121, 520)( 271, 910, 683)
( 272, 559,1167)( 273, 759, 590)( 275, 566, 600)( 276, 681,1074)
( 278, 361, 857)( 279,1319, 412)( 280, 815, 993)( 281,1292, 775)
( 283,1243, 799)( 284, 798,1152)( 286,1060, 685)( 287,1279, 953)
( 288, 311,1158)( 290, 314, 323)( 291, 670, 491)( 292, 651, 919)
( 293, 338,1192)( 294, 806, 464)( 295,1217, 718)( 296, 690, 945)
( 298,1269, 707)( 299,1189, 720)( 300, 725,1122)( 303, 679, 734)
( 304,1314,1224)( 305, 956,1309)( 309, 941, 755)( 312, 860, 601)
( 313, 998,1050)( 315, 966, 534)( 318,1088, 814)( 322,1075, 675)
( 325, 837, 920)( 326, 820,1270)( 327,1214,1138)( 328, 994, 591)
( 329, 967, 692)( 330,1067, 524)( 331,1135, 753)( 332, 621, 627)
( 333, 995, 628)( 334, 749,1076)( 335, 727,1249)( 336, 843, 880)
( 339, 487,1323)( 340, 431,1117)( 341,1213,1298)( 342,1017,1011)
( 344, 551,1136)( 347, 928, 558)( 349, 386,1230)( 350, 573, 409)
( 351, 866, 772)( 352, 517,1034)( 354, 785,1273)( 355, 812,1023)
( 356,1041,1079)( 358, 546, 635)( 363, 972, 636)( 364, 618, 930)
( 365, 992, 712)( 366, 924,1059)( 367, 394, 614)( 369, 401, 714)
( 371, 970,1173)( 372, 469,1100)( 374, 493, 519)( 375, 949, 608)
( 378, 516,1263)( 379, 581, 488)( 381, 828, 868)( 382,1317,1330)
( 383,1068, 392)( 387, 582, 704)( 388,1120, 777)( 391, 605,1223)
( 393,1212, 451)( 396,1005,1202)( 397,1164,1301)( 398, 557, 687)
( 403, 963, 826)( 405, 927, 701)( 406,1218, 564)( 408, 480, 988)
( 411, 904, 921)( 413, 434,1198)( 414, 796, 574)( 415,1225,1180)
( 416,1022, 663)( 422,1061,1094)( 423,1149,1256)( 427,1064,1305)
( 430, 756, 508)( 432, 515, 466)( 433, 726, 745)( 438,1200, 665)
( 440,1156,1221)( 445, 522,1132)( 446, 838, 999)( 447,1286,1316)
( 448, 760, 787)( 453,1099,1026)( 454,1255,1096)( 455, 461,1090)
( 456,1272, 708)( 458, 800,1001)( 460, 958, 713)( 463,1101, 990)
( 467, 562,1281)( 470, 475, 937)( 472, 856, 580)( 473, 743,1196)
( 474, 899,1294)( 477,1210, 873)( 478, 964, 833)( 483, 586, 560)
( 485, 991, 774)( 490,1229, 549)( 494, 662, 824)( 495, 501, 849)
( 496, 697,1186)( 499, 576,1194)( 500,1181, 724)( 502,1083, 877)
( 504, 527, 673)( 506, 680, 657)( 509, 985, 960)( 510, 982,1045)
( 511, 836, 790)( 518, 951,1184)( 525, 752, 816)( 526,1116, 584)
( 532, 538, 989)( 537,1012,1206)( 540, 617,1271)( 541, 804,1244)
( 544,1086, 688)( 545, 630,1098)( 547, 552, 706)( 548, 917,1197)
( 550,1306,1118)( 553,1033,1141)( 561, 890,1331)( 563, 979, 728)
( 567,1265,1222)( 568, 575, 664)( 569, 598,1032)( 572,1237,1007)
( 577,1239, 786)( 585, 867,1144)( 587, 677, 913)( 589,1137, 642)
( 597,1259,1216)( 602, 846, 637)( 603, 939,1233)( 607,1125,1308)
( 610,1020, 911)( 613, 931, 659)( 616,1326,1264)( 625,1127,1030)
( 626, 855,1024)( 632, 654, 731)( 633, 739, 783)( 634, 744, 808)
( 639, 668, 946)( 640,1019,1310)( 644,1134,1248)( 645, 746, 765)
( 646,1315,1031)( 648,1155,1291)( 649, 882,1087)( 650, 748, 831)
( 669,1179,1328)( 671, 797,1252)( 682,1211,1182)( 686, 780, 696)
( 694,1171, 889)( 698, 900,1267)( 699, 732,1161)( 700, 758,1112)
( 705,1145,1151)( 719,1000,1037)( 722,1290, 834)( 729,1219, 902)
( 735,1241, 929)( 736,1056, 859)( 738,1282, 757)( 741,1242,1236)
( 761,1287,1077)( 764,1261,1111)( 770,1130,1089)( 771, 934, 792)
( 773, 789,1227)( 776,1095,1185)( 778,1204,1220)( 781, 925,1028)
( 784,1046,1170)( 803, 839, 892)( 805,1139, 888)( 817,1108,1162)
( 821,1049,1103)( 823,1044, 950)( 840, 864, 850)( 841,1174,1277)
( 848, 858,1289)( 854,1203, 918)( 862,1126, 983)( 885,1040,1332)
( 891,1307, 977)( 903,1047, 933)( 905,1115, 943)( 909, 944,1327)
( 915,1165,1278)( 922,1082,1080)( 923, 926,1283)( 940,1329,1288)
( 947,1039,1006)( 974,1169,1085)(1009,1153,1063)(1015,1238,1084)
(1051,1235,1168)(1057,1209,1071)(1160,1257,1251)(1177,1322,1285),
(   2,   7, 931, 805, 471, 191, 497, 690, 352,  52, 101)(   3, 806,  13,1017,
 1106, 309,  80, 102, 713,  68, 353)(   4, 993, 303,1100, 214,1069,1098, 263,
  500,1048, 407)(   5, 155, 676, 193,  25, 964,1141, 133,1283, 608,  22)
(   6, 537, 578, 894,1043, 686, 614,1176,1169, 470,1165)(   8,  40, 839, 170,
  762, 344, 181, 574, 465, 310,1080)(   9, 939, 286, 165, 426, 776, 357, 932,
   49,  43,1225)(  10, 897, 534, 655,1022,1231, 849,1180, 698, 122, 767)
(  11, 941, 850,1093, 898,  88,1181, 768,1212, 594,1013)(  12,1234, 220,  73,
 1019, 782, 284,  31, 816, 245, 119)(  14,1072,1198, 334, 981, 551,  78, 313,
 1128, 851,1236)(  15, 335,  79, 892, 285, 761, 314, 549,1091, 945, 598)
(  16, 132, 363, 382, 758, 154, 942,1259, 986,  37, 547)(  17, 615,1209, 592,
  307,  96, 304,  85, 616,  38, 482)(  18, 757,1253,1149,1078, 893, 842, 231,
  940,1286,1063)(  19, 488, 196, 463, 838,1027, 979, 226,1248, 341,1322)
(  20, 167, 870, 380,1138,1148, 651, 506, 951, 358, 772)(  21,1218, 878, 336,
 1150, 161, 764, 914, 236,1120, 169)(  23, 507, 472,  61, 404, 287, 142, 417,
 1205, 221, 599)(  24,1179,  35, 480,1088, 423, 729,1210, 723, 374,1124)
(  26,  99, 607, 150, 190, 278, 410, 351, 100, 496,  51)(  27, 151,1107, 553,
 1270,1292, 584,1151,1097,1036, 866)(  28, 164, 117, 648, 911,  75, 544, 784,
  184,  33, 539)(  29, 554, 585, 864, 153, 950, 969,1096, 509, 921,  54)
(  30, 752,1099, 971, 206, 844, 244, 474, 283, 650, 490)(  32, 373, 520, 241,
  437, 920, 869, 795, 494, 882, 227)(  34, 963, 652,1264,1301, 139,1087,1298,
  501,1315,1330)(  36,1065, 743,1257,1221,1056, 840, 564, 863,1037,1189)
(  39, 928, 308, 441,1163, 422, 647, 617,1245,1004, 609)(  41,1094,1319, 906,
  855, 432, 255, 518, 183, 312, 297)(  42, 678, 135,1040,1010,  92, 680, 562,
  152,1211,1307)(  44,1329, 177,  83,1009,1008, 738, 250, 267,1256,1316)
(  45, 264, 815, 701, 771,1118, 120, 406, 681, 923, 512)(  46, 461, 832, 232,
  115, 999, 365, 780,1081,1233, 436)(  47,1061,1308, 105,  69,1053, 781, 639,
 1262, 402, 709)(  48, 685, 988, 192,1029,1002, 390, 820,1242,  89, 222)
(  50,1185, 420, 462,1317,1173, 189,  72, 901, 632, 570)(  53, 572, 279,1280,
 1046, 819, 868, 345, 156,1159, 759)(  55, 198, 302,1103, 219, 340, 970,  65,
 1193, 854, 146)(  56, 907, 962, 143,1213,1184, 149,1030, 253, 987, 853)
(  57,1227, 412,1279, 661, 817, 843, 580, 282, 106, 978)(  58, 766, 394, 445,
  429,1281, 827,1228,1139, 778, 274)(  59, 315, 801, 210,1172, 505, 458, 337,
  381, 796,1145)(  60, 900, 342, 579, 744, 695, 908, 991,1038,1000, 895)
(  62, 560, 301, 694, 587, 415, 980,1026, 387, 973,1313)(  63,1162, 638,1114,
  667, 802, 440,1171, 727, 416, 679)(  64,1278, 322,1045, 741, 411, 724, 918,
  871, 779,1323)(  66, 751, 605, 484, 361,1156,1331, 916, 791, 934, 199)
(  67, 649,1224, 421, 974, 810, 569, 583, 386, 299, 258)(  70, 347, 947, 736,
  620,1215,1244, 831, 272, 877, 400)(  71,1142,1265, 865, 684,1158,1271,1133,
 1320, 643,1206)(  74, 717, 958, 543,1285, 700, 783, 589, 763, 124, 731)
(  76, 856, 822, 249, 455, 797, 262, 953, 630, 256,1123)(  77, 968,1201, 943,
  546,1324, 732,1241, 725, 933, 707)(  81, 215,1223, 826, 959, 338, 424, 552,
 1032, 527,  90)(  82,1161, 114, 773, 280, 829, 666,1297, 737, 804, 718)
(  84,1047, 468,1220,1092, 859, 128, 926, 807, 875, 144)(  86, 555, 588,1070,
  476, 389,1115,1208, 786, 814, 116)(  87, 298, 349, 453, 328, 477, 160, 339,
  140, 954,  97)(  91, 107, 755, 653,1137, 405, 425, 669, 216, 323, 176)
(  93, 211,1240, 658, 371, 203, 213, 134, 992,1020, 722)(  94, 659,1012,1126,
 1039, 905, 355, 171, 529, 408, 321)(  95, 379, 628, 756, 955,1305, 885, 995,
   98, 350, 159)( 103,1229, 563, 919,1041, 317,1192, 996, 561, 965, 208)
( 104,1160, 845, 600, 498, 288,1243, 223, 397,1089,1125)( 108, 671, 367, 127,
  536,1267, 409,1153, 403, 270, 281)( 109, 798,1177, 275, 457,1152, 532, 265,
  383, 760, 775)( 110, 276,1190, 517, 573, 163, 266,1127,1318, 957, 726)
( 111, 172, 395, 485,1068,1168, 944, 319, 891, 137, 710)( 112,1144,1060, 145,
  693, 504, 998, 200, 113, 665, 813)( 118,1191,1186, 740, 524, 311, 508,1183,
 1062,1182,1023)( 121, 533, 162, 237,1157, 640, 765,1021, 246,1166,1202)
( 123,1042, 794, 541, 388, 577, 293, 769,1075,1117, 516)( 125,1116,1273,1175,
  748, 531, 613, 730,1309,1197, 575)( 126,1055,1302, 935, 566,1051,1258, 983,
  376, 247, 691)( 129, 230, 370,1077, 927,1110, 787, 565, 622, 369,1084)
( 130, 682, 633, 567,1274,1174, 239, 646, 277, 325, 201)( 131, 354, 972, 902,
 1199, 654, 705, 530,1016, 242,1122)( 136, 777, 218, 657, 166, 414, 602, 510,
  720,1105,1167)( 138, 481, 576,1287, 141,1033,1321, 540, 823, 491, 631)
( 147, 217, 526, 444, 952, 522, 733, 451,1282, 360,1011)( 148, 469,1154,1216,
 1071, 550, 433, 459, 234,1195, 834)( 157, 711, 396, 867,1311,1252,1132, 837,
  378, 173, 590)( 158, 261, 499, 929, 966, 513,1135, 523, 994,1015, 348)
( 168, 295, 528, 466, 604, 260, 749,1217, 291, 186, 327)( 174, 447, 434,1303,
 1235,1306, 715, 224,1095, 846,1247)( 175, 712, 202, 618,1085, 398, 975, 568,
  428, 326, 683)( 178, 393, 391, 248,1296, 331, 225,1067, 636,1052, 377)
( 179,1272, 268,1246, 656, 824, 896, 228, 521,1239, 212)( 180, 611, 984, 316,
  384, 754,1291, 557,1255, 448, 194)( 182, 399, 645, 830, 745, 188, 271, 606,
 1214, 294, 689)( 185, 450,1261,1058, 591, 581, 330, 413, 664,1086, 259)
( 187,1102,1119, 785, 910, 960,1276, 961, 427,1001, 879)( 195,1310, 486,1076,
  876, 874, 860, 595, 809, 385, 558)( 197,1251, 238, 257,1146, 672, 925,1079,
  634,1290, 514)( 204, 688, 997, 489, 629, 473, 235, 205, 848, 502, 913)
( 207, 475, 492, 535,1268, 692, 464,1143, 890,1057, 300)( 209,1200, 318, 495,
  668,1178, 789, 254,1054, 976, 862)( 229,1275, 511, 673, 324,1232, 770, 884,
  375, 716, 922)( 233,1277,1074, 483, 708, 642, 674, 449, 880,1018,1090)
( 240, 699, 917,1312, 493, 372, 792, 881, 938, 967, 571)( 243,1034, 610, 841,
 1230, 903, 660, 442,1113,1147, 977)( 251,1129, 364, 542,1050,1082, 825, 706,
  696, 818, 519)( 252, 793, 443, 753, 401, 593, 982, 362, 306,1304, 697)
( 269,1196, 704, 812, 750, 747, 619,1031,1250, 515, 368)( 273, 675,1269, 446,
 1140,1219, 937, 430,1059,1295, 343)( 289,1101, 861,1226, 899, 702, 662, 703,
 1203, 949, 582)( 290,1293, 597, 924, 670, 644, 478, 320,1332, 909,1325)
( 292,1294, 467, 833, 808,1237, 419, 545, 930, 603, 821)( 296,1131,1005,1035,
  625, 788, 858, 431,1260, 828, 586)( 305, 329, 915,1284, 847, 641,1187, 811,
  746, 946,1044)( 332,1064,1266, 418, 479, 626, 883, 803, 888, 392,1130)
( 333,1024, 936, 452, 857, 635, 556, 742, 454, 359,1028)( 346, 601, 734,1222,
 1288, 714,1104,1112,1083, 503, 623)( 356,1238, 886, 800, 887, 637, 439,1111,
  438,1170, 799)( 366,1207,1263, 774, 872,1006, 663,1007, 687,1194, 852)
( 435,1108, 621, 956,1188,1300, 460,1073, 836,1326, 990)( 456,1109, 559, 624,
  735, 538,1066,1328, 677,1025, 912)( 487, 612,1003, 719,1289, 728, 739,1136,
 1249, 596,1204)( 525,1049, 790, 721,1155,1121,1254,1134, 948, 904, 835)
( 548,1299,1164, 985, 873, 627, 989,1314, 889,1327,1014)],
[[[[]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[5,-2]]],[[[2,1,1,1],[3,1,
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1]]],[[[2,3,1,1,2,1],[3,4]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,
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7,1]]],[[[1,1,2,1,1,1,2,-1,1,1],[3,3],[2,1,1,-1,2,-1],[4,1,5,1],[5,1,4,1],[7,
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1,-1,2,-1],[5,-1,4,1,5,1]],[[1,1,2,1,1,1,2,-1,1,1],[3,3]]],[[[1,-1],[3,1,2,1,
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1,1,2,2,1,1,2,-1,3,1],[4,10]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,3],[1,1],[
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1],[2,3],[5,1,6,-1,5,-1,6,-1,5,-2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,
1],[2,3],[6,3,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-2],[
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4,1],[5,1,2,3],[5,-2,6,2]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[
5,-2],[6,1,5,-1,6,1],[7,1,8,1,7,1,8,1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,
4,1],[2,3],[5,-2,6,1,5,-1,6,3,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,
1],[2,3],[5,-2,6,-1,5,1,6,-1,5,1,6,2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,
1],[2,3],[5,1,6,-1,5,-1,6,-1,5,-2]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,
1],[2,3],[5,-2,6,1,5,-1,6,3,5,1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[
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1],[4,1,5,-1],[5,1,6,1,4,1,5,-1,7,2,6,1]],[[1,1,2,1,1,1,2,-1,1,1],[3,3],[2,1,
1,-1,2,-1],[5,1,4,1],[5,-1,6,-1,4,1,5,1,6,-1,5,-1]],[[1,1,2,1,1,1,2,-1,1,1],[
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-1],[4,10],[1,1,2,1,1,-1,2,-2],[5,1,6,1],[5,1,7,-1,6,1,5,1,6,-1,7,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-1],[4,10],[1,1,2,1,1,-1,2,-2],[6,1,5,1,6,-1,5,1]],[[1,1,2,
1],[3,1,1,1,2,-1,3,-1],[4,10],[1,1,2,1,1,-1,2,-2],[6,1,5,1,6,-1]]],[[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1],[3,3],[1,1],[4,1,5,1],[4,1,5,-1],[5,1,6,1,4,1,5,-1,7,2,
6,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,3],[1,1],[5,1,4,1],[5,-1,6,-1,4,1,5,
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4,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-2],[6,1,7,1,6,1,5,
1,6,-1,7,1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-1,6,3]]],[[[
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1,4,-1,5,1]],[[1,1,2,-1],[3,1,2,-2,1,-1,3,-1,1,1]]],[[[1,-1],[1,1,2,1],[3,1,2,
2,4,2,3,-1,4,-1],[5,3],[6,-2]],[[2,2,1,1,2,2,1,-1],[3,3]]],[[[1,-1],[1,1,2,
1],[3,1,2,2,4,2,3,-1,4,-1],[5,3],[2,2,1,1,2,2,1,-1],[7,3],[6,-1,8,-1]],[[2,2,
1,1,2,2,1,-1],[3,3],[4,-2]]],[[[2,2,1,1,2,2,1,-1],[3,3],[4,-2]],[[1,-1],[1,1,
2,1],[3,1,2,2,4,2,3,-1,4,-1],[5,3]]],[[[2,2,1,-1],[3,-4]]],[[[1,-1],[2,1,1,-1,
2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,1,6,1],[5,-2,7,-2]],[[1,-1],[2,1,1,-1,2,
-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,1,6,-1,5,1,6,2]]],[[[1,-1],[2,1,1,-1,2,
-1],[3,1,4,1,3,1,4,1],[2,3],[6,2,5,-1,6,1,5,-2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,
4,1,3,1,4,1],[2,3],[6,1,5,-2,6,1,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,
4,1],[2,3],[6,2,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,
5,-1,6,-2,5,-1]]],[[[1,1,2,-1],[3,1,2,-2,1,-1,3,-1,1,1],[4,1,1,1,2,-1,1,1,2,
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-1]]],[[[1,1,2,-1],[3,1,2,-2,1,-1,3,-1,1,1],[1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,
2,-1],[5,1,4,-1,5,-1]],[[1,1,2,-1],[3,1,2,-2,1,-1,3,-1,1,1]]],[[[1,-1],[2,1,1,
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3,1,4,1],[2,3],[6,3,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[
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3],[5,-2,6,2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-2,6,1,5,1,
6,1,5,-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[5,1,2,3],[5,-2,6,
2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,1,6,3]]],[[[1,-1],[
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1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,-1,6,-2,5,-1,6,-1]]],[[[1,-1],[2,1,
1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-2],[6,1,5,-1,6,-1],[7,1,8,-1,7,1,8,
1]],[[2,3]]],[[[1,-1],[3,1,2,1,1,1,2,2,1,1,2,-1,3,1],[4,10],[2,1,1,-1,2,-1],[
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1],[4,10],[2,1,1,-1,2,-1],[5,1,6,-1,5,1,6,1]]],[[[1,1,2,1,1,1,2,-1,1,1],[3,
3],[2,1,1,-1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,7,3,6,-1]],[[1,1,2,1,1,1,2,
-1,1,1],[3,3],[2,1,1,-1,2,-1],[4,1,5,-1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,
1,2,-1],[3,3],[1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,7,3,6,-1]],[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1],[3,3],[1,1],[4,1,5,-1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-1,1,1],[3,
3],[2,1,1,-1,2,-1],[4,1,5,1],[5,1,6,1],[5,1,4,1,6,-1,7,-2]],[[1,1,2,1,1,1,2,
-1,1,1],[3,3],[2,1,1,-1,2,-1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1],[3,3],[1,1],[4,1,5,1],[5,1,6,1],[5,1,4,1,6,-1,7,-2]],[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1],[3,3],[1,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,
-1],[4,10]],[[1,1,2,1],[3,1,1,1,2,-1,3,-1],[4,10],[1,1,2,1,1,-1,2,-2],[5,1,6,
1],[5,1,6,-1,7,2,6,1]]],[[[1,-1],[1,1,2,1],[2,1,1,1],[3,1,5,1,2,-1,4,1,5,-1,3,
1,4,-1,2,-1,4,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[1,-1,2,-1,1,1,2,-1,3,1,4,2,
3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,-1,2,1,1,-1,2,1,3,1,4,2,3,1,1,-1,2,
-1]]],[[[1,-1],[1,1,2,1],[1,1,2,-1,3,-1,4,-1,3,1,2,-2,4,1],[5,3]],[[1,1,2,1],[
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1],[2,3],[6,1,5,1,6,-1,5,1,6,2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,
3],[6,1,5,-2,6,1,5,1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,
-2],[7,1,6,1,7,1,6,1,5,-1,6,1,7,1]],[[2,-3]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,1,
3,1,2,1,1,-1,2,1,4,1,1,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,1,
-1,3,-1,4,1,3,1,2,2,4,-1,5,1]]],[[[2,2,1,1,2,-1,1,1,2,-1],[3,4]],[[2,1,1,-1,2,
1],[1,1,2,1,3,2],[4,4]],[[1,1,2,1],[3,1,2,2,3,1],[4,2]]],[[[1,-1],[1,1,2,1],[
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4,1],[2,3],[6,1,5,1,6,3]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,
-1,6,-3]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,1,6,2,5,1,
6,-1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-1,6,3]]],[[[1,-1],[
2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,1,6,-2,5,-2,6,1,5,1]],[[2,3]]],[[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,3],[1,1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,1,6,
2,7,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,3]]],[[[1,1,2,1,1,1,2,-1,1,1],[3,
3],[2,1,1,-1,2,-1],[4,1,5,1],[5,1,4,1],[7,1,6,-1,5,1,6,2,7,-1]],[[1,1,2,1,1,1,
2,-1,1,1],[3,3]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[5,2,
4,-2,5,2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,1,5,
-3,4,1,5,-1]]],[[[2,1,1,1],[3,1,2,-1,1,-1,2,1,3,-1]],[[2,2,1,-1]]],[[[1,-1],[
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2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,1,6,-1,5,-1,6,-2]]],[[[1,1,2,1],[1,1,2,-2,3,
1,2,1,3,1,1,-1],[2,3,1,1,2,1],[5,1,4,1,5,1,4,-2,5,-2]],[[1,1,2,1],[1,1,2,-2,3,
1,2,1,3,1,1,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,2,
5,1,4,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,1,5,
-1,4,1,5,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,2,5,-1,
4,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,2,5,1,4,1,5,
-1]]],[[[1,1,2,-1],[3,1,2,-2,1,-1,3,-1,1,1]],[[1,1,2,-1,1,1,2,-1,1,-1,2,1,1,
-1,2,-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,1,6,-1,5,-1,6,
1,5,-2]],[[2,3]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[6,1,5,1],[
6,1,7,2]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[5,-2]]],[[[2,3,1,1,2,1],[
3,-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[4,2],[4,1,6,1],[7,2],[8,1,9,2,8,
1]],[[2,3,1,1,2,1],[3,-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[6,1,4,-1,6,
-1,4,1]]],[[[2,3,1,1,2,1],[3,-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[4,2],[
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1,5,1,1,-1],[6,2,4,-1,6,1,4,1]]],[[[2,3,1,1,2,1],[3,-2],[1,1,2,1],[1,1,2,-2,5,
1,2,1,5,1,1,-1],[4,2],[4,1,6,1],[7,2],[8,1,9,1,8,1,9,1]],[[2,3,1,1,2,1],[3,
-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[6,2,4,1,6,1,4,-1,6,1]]],[[[1,1,2,
1],[2,1,3,3,2,2],[3,20],[4,20]],[[1,1,2,1],[2,2],[1,-1,4,-1,3,1,4,1,3,1],[5,
2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,1,-1],[5,3]]],[[[1,1,2,1],[1,-1,2,1,3,
2],[4,20]],[[1,1,2,1,1,-1,2,-2]]],[[[1,-1],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,1],[4,
20]],[[1,1,2,2,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-1],[4,10]],[[1,1,2,1,
1,-1,2,-2]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[2,3],[5,-2,6,2,5,
1]],[[2,3]]],[[[2,3,1,1,2,1],[3,-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[4,
3,6,1,4,1]],[[2,3,1,1,2,1],[3,-2],[1,1,2,1],[1,1,2,-2,5,1,2,1,5,1,1,-1],[4,-1,
6,1,4,1,6,-1]]],[[[1,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,1,2,1,3,1,4,-1,2,1,5,
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1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,1,2,-1,1,1,4,1]],[[1,-1],[1,1,2,1],[
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2,1,1,1,2,-1,1,1,2,-1],[3,3],[1,1],[4,1,5,-1],[6,1,4,1,5,1],[6,1,7,1,6,1,7,
1]],[[1,1]]],[[[1,-1],[3,1,2,1,1,1,2,2,1,1,2,-1,3,1],[4,10],[2,1,1,-1,2,-1],[
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2,-1,1,1],[3,3],[2,1,1,-1,2,-1],[4,1,5,-1],[6,1,4,1,5,1],[6,1,7,1,6,1,7,1]],[[
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1,3,1,1,-1],[2,3,1,1,2,1],[5,4,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[
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3,1,1,2,1],[5,3,4,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,1,2,
1],[5,1,4,-1,5,-1,4,-2]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[5,-1,2,
-3,5,1]],[[2,3]]],[[[1,-1],[3,1,2,1,1,1,2,2,1,1,2,-1,3,1],[4,10]],[[2,1,1,-1,
2,-1]]],[[[1,1,2,1,1,1,2,-1,1,1],[3,3]],[[2,1,1,-1,2,-1]]],[[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1],[3,3]],[[1,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1],[2,3,1,
1,2,1],[5,1,4,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1]]],[[[1,-1],[2,
1,1,-1,2,-1],[3,1,4,1,3,1,4,1],[5,-2]],[[2,3]]],[[[1,1,2,-1],[3,1,1,-1,2,-2,1,
-1,2,1,3,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,1,1,1,3,1,2,1,1,-1,2,1,4,1]],[[1,
-1],[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,1,5,1,4,-1,2,-1,1,1,2,-1,3,-1,5,
-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]],[[2,3]]],[[[1,1,2,-1],[3,1,
1,-1,2,-2,1,-1,2,1,3,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,1,1,1,3,1,2,1,1,-1,2,
1,4,1]],[[1,-1],[1,1,2,1],[3,1,2,-2,4,2,1,1,2,-1,3,-1,2,1,1,1]]],[[[1,1,2,
-1],[3,1,1,-1,2,-2,1,-1,2,1,3,-1]],[[1,-1],[1,1,2,1],[3,1,2,2,4,1,3,1,2,2,1,
-1,4,1,1,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-1,4,1,3,1,1,-1,2,2,4,
-1]]],[[[2,3,1,1,2,1],[3,5]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1]]],[[[2,3,
1,1,2,1],[3,4]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1]],[[1,1,2,1],[1,1,2,-2,
3,1,2,1,3,1,1,-1],[2,3,1,1,2,1],[4,-1,5,1,4,-1,5,-1]]],[[[2,3,1,1,2,1],[3,
-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,
1,1,-1]],[[2,3,1,1,2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "U3(7)",
[[1],[1,2],[1,3],[1,2,4],[1,2,5],[1,2,6],[1,2,3,7],[1,2,3,8],[1,9],[1,10],[1,
2,4,11],[1,2,5,12],[1,2,5,13],[1,2,4,14],[1,2,5,15],[1,2,4,5,6,16],[1,2,5,6,
17],[1,2,3,6,7,8,18],[1,2,3,4,7,19],[1,2,3,5,7,20],[1,2,3,6,21],[1,2,9,22],[1,
2,10,23],[1,2,4,5,6,16,24],[1,2,4,5,6,15,16,17,25],[1,2,5,13,15,26],[1,2,5,6,
13,17,27],[1,2,4,5,6,11,14,16,28],[1,2,4,5,6,12,13,16,29],[1,2,4,5,6,14,16,
30],[1,2,4,11,31],[1,2,5,6,12,15,17,32],[1,3,9,33],[1,3,10,34],[1,2,3,5,7,15,
35],[1,2,3,4,5,6,7,8,16,18,19,20,36],[1,2,3,4,7,14,19,37],[1,2,3,4,7,11,19,
38],[1,2,3,5,6,8,17,21,39],[1,2,4,9,22,40],[1,2,4,5,6,11,14,15,16,17,25,28,30,
41],[1,2,4,5,6,11,12,13,14,16,24,28,29,42],[1,2,4,5,6,12,13,15,16,17,25,26,27,
29,32,43],[1,2,4,5,6,12,13,14,16,29,30,44],[1,2,4,5,6,14,15,16,17,24,25,30,
45],[1,2,4,5,6,11,14,16,28,31,46],[1,2,3,7,9,22,33,47],[1,2,3,7,10,23,34,48],[
1,49],[1,2,3,5,7,13,15,20,26,35,50],[1,2,3,5,6,7,8,12,15,17,18,32,35,51],[1,2,
3,4,5,6,7,15,16,17,19,25,35,52],[1,2,3,4,5,6,16,21,24,53],[1,2,3,4,7,11,19,31,
38,54],[1,2,3,4,7,11,19,31,38,55],[1,2,3,4,5,6,7,8,11,14,16,18,19,20,28,36,37,
38,56],[1,9,10,57],[1,2,4,9,11,22,40,58],[1,2,4,5,6,11,12,13,14,16,24,28,29,
42,59],[1,2,4,5,6,11,12,13,14,16,24,28,29,31,42,46,60],[1,2,4,5,6,11,12,13,14,
15,16,17,24,25,26,27,28,29,30,32,41,42,43,44,45,61],[1,2,3,4,7,9,19,22,33,40,
47,62],[1,2,3,4,5,6,7,14,15,16,17,19,24,25,30,35,37,45,52,63],[1,2,3,4,5,6,7,
8,12,13,15,16,17,18,19,20,25,26,27,29,32,35,36,43,50,51,52,64],[1,2,3,4,5,6,7,
11,14,15,16,17,19,25,28,30,35,38,41,52,65],[1,2,3,4,5,6,7,8,11,14,16,18,19,20,
28,31,36,37,38,46,54,55,56,66],[1,2,3,4,5,6,8,14,15,16,17,21,24,25,30,39,45,
53,67],[1,2,9,10,22,23,57,68],[1,2,4,9,11,22,31,40,58,69],[1,2,4,5,6,11,12,13,
14,15,16,17,24,25,26,27,28,29,30,31,32,41,42,43,44,45,46,59,60,61,70],[1,3,49,
71],[1,3,9,10,33,34,57,72],[1,2,3,5,6,8,10,17,21,34,39,73],[1,2,3,4,7,9,11,19,
22,33,38,40,47,58,62,74],[1,2,3,4,5,6,11,12,13,14,16,21,24,28,29,42,53,59,
75],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,24,25,26,27,28,29,30,32,35,
36,37,38,41,42,43,44,45,50,51,52,56,61,63,64,65,76],[1,2,3,7,9,10,22,23,33,34,
47,48,57,68,72,77],[1,2,3,5,7,9,13,15,20,22,26,33,35,47,50,78],[1,2,3,4,7,9,
11,19,22,31,33,38,40,47,55,58,62,69,74,79],[1,2,3,5,6,7,8,10,13,17,18,21,23,
27,34,39,48,73,80],[1,9,10,57,81],[1,2,3,4,5,6,8,11,12,13,14,15,16,17,21,24,
25,26,27,28,29,30,31,32,39,41,42,43,44,45,46,53,59,60,61,67,70,75,82],[1,2,3,
4,5,6,7,8,9,12,13,15,16,17,18,19,20,22,25,26,27,29,32,33,35,36,40,43,47,50,51,
52,62,64,78,83],[1,2,9,10,22,23,57,68,81,84],[1,3,9,10,33,34,57,72,81,85],[1,
2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,32,33,
35,36,37,38,40,41,42,43,44,45,47,50,51,52,56,58,61,62,63,64,65,74,76,78,83,
86],[1,2,4,9,10,22,23,40,57,68,81,84,87],[1,2,3,7,9,10,22,23,33,34,47,48,57,
68,72,77,81,84,85,88],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,
25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,50,51,52,54,55,
56,58,59,60,61,62,63,64,65,66,69,70,74,76,78,79,83,86,89],[1,2,4,9,10,11,22,
23,40,57,58,68,81,84,87,90],[1,2,3,4,7,9,10,19,22,23,33,34,40,47,48,57,62,68,
72,77,81,84,85,87,88,91],[1,2,4,9,10,11,22,23,31,40,57,58,68,69,81,84,87,90,
92],[1,2,3,4,7,9,10,11,19,22,23,33,34,38,40,47,48,57,58,62,68,72,74,77,81,84,
85,87,88,90,91,93],[1,2,3,4,7,9,10,11,19,22,23,31,33,34,38,40,47,48,55,57,58,
62,68,69,72,74,77,79,81,84,85,87,88,90,91,92,93,94],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95]],
0,[[1],[1,1],[1,1],[1,1,1],[1,1,1],[1,3,1],[1,1,1,1],[1,3,1,1],[1,1],[1,1],[1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,3,1],[1,3,1,1,1,1],[1,5,1,2,1],[1,7,
1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,1,1,1],[1,7,1,1],[1,3,3,
3,1,3,1],[1,7,1,3,3,1,3,3,1],[1,1,5,1,2,1],[1,9,1,4,1,2,1],[1,3,1,1,1,1,1,1,
1],[1,3,1,1,1,1,1,1,1],[1,3,1,1,1,2,1,1],[1,1,1,1,1],[1,5,3,2,1,1,1,1],[1,7,1,
1],[1,7,1,1],[1,1,4,3,4,1,1],[1,7,1,1,3,3,1,2,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,
1,1,1,1,1,1,1],[1,9,4,3,4,4,3,1,1],[1,1,1,1,1,1],[1,7,1,3,3,1,3,1,3,3,1,3,3,
1],[1,3,3,3,1,1,1,1,1,3,1,1,1,1],[1,11,1,5,5,1,1,2,5,6,2,1,1,1,2,1],[1,3,1,1,
1,1,1,4,1,1,2,1],[1,7,3,5,3,2,1,5,3,1,1,1,1],[1,3,1,1,1,1,1,1,1,2,1],[1,1,7,7,
1,1,1,1],[1,7,7,7,1,1,1,1],[1,1],[1,1,4,9,4,3,4,4,3,1,1],[1,13,4,3,6,4,8,3,1,
3,4,3,1,1],[1,7,4,1,3,3,4,1,3,3,4,1,1,1],[1,3,16,3,3,1,3,4,1,1],[1,1,1,1,1,1,
1,3,1,1],[1,1,1,1,1,1,1,1,1,1],[1,7,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,7,
1],[1,1,1,1,1,1,1,1],[1,3,3,3,1,3,3,3,3,3,1,3,3,3,1],[1,3,3,3,1,1,1,1,1,3,1,1,
1,4,1,2,1],[1,11,3,7,5,1,1,1,5,2,7,6,1,2,1,1,5,1,6,2,2,1,1,1,2,1],[1,1,7,1,7,
1,7,1,1,1,1,1],[1,7,4,7,9,3,4,6,1,9,3,4,3,1,3,1,4,3,1,1],[1,19,4,1,9,9,4,8,3,
3,4,9,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,7,4,1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,
1,1,1],[1,7,1,1,3,3,1,2,1,3,3,1,1,1,3,4,1,1,1,3,1,1,1,1],[1,15,16,3,9,7,16,6,
3,9,9,4,1,3,3,4,3,1,1],[1,7,1,7,7,1,1,1],[1,1,1,1,1,1,7,1,1,1],[1,11,3,7,5,3,
3,3,7,2,7,6,1,2,1,1,7,3,6,4,2,2,3,1,1,2,2,1,1,1,1],[1,43,1,1],[1,49,1,7,7,7,1,
1],[1,21,28,21,14,28,8,21,14,8,14,1],[1,1,7,1,7,1,1,7,1,1,7,1,1,1,1,1],[1,3,
64,3,3,1,3,3,3,3,3,16,1,3,3,3,4,1,1],[1,19,4,7,15,9,4,8,1,3,3,9,4,15,12,4,4,4,
3,4,3,3,9,3,12,6,1,4,4,4,4,3,3,3,6,1,1,1,4,3,1,1,1,1],[1,7,49,49,1,7,7,1,7,7,
7,7,1,1,1,1],[1,1,28,21,28,8,21,14,28,8,21,8,14,8,14,1],[1,1,7,1,7,1,1,7,1,7,
1,7,1,1,7,1,1,1,1,1],[1,49,28,21,56,28,56,8,21,42,28,14,8,21,8,14,8,1,1],[1,1,
56,8,1],[1,27,64,3,15,13,64,3,3,3,15,6,15,18,16,1,6,3,3,15,3,18,12,6,16,6,3,3,
3,6,6,4,1,3,3,4,3,1,1],[1,43,28,1,21,21,28,56,8,21,21,14,21,42,28,28,28,8,14,
21,21,21,42,8,14,28,8,21,8,14,14,14,8,14,1,1],[1,49,1,56,49,56,8,56,1,1],[1,
343,1,56,49,392,8,56,1,1],[1,43,28,43,63,21,28,56,8,1,21,21,21,14,63,42,28,28,
28,8,21,14,21,21,21,21,42,42,8,14,28,28,28,8,14,21,21,21,42,8,14,14,14,28,8,
21,8,14,14,14,8,14,1,1,1],[1,49,49,1,56,49,56,49,8,56,1,1,1],[1,49,343,343,1,
56,49,56,49,392,49,392,8,56,56,56,1,1,1,1],[1,43,28,43,63,21,28,56,8,43,63,63,
63,14,63,42,28,28,28,8,21,14,21,21,63,63,42,28,42,8,14,28,28,28,8,14,63,21,21,
42,42,8,14,14,14,28,28,28,8,21,21,21,8,14,14,14,28,8,21,8,14,1,8,1,1,1],[1,49,
49,1,56,49,49,56,49,8,49,56,1,1,1,1],[1,49,343,49,343,1,56,343,49,56,49,392,
49,49,392,8,49,56,56,56,1,1,1,1,1,1],[1,49,49,1,56,49,49,56,343,49,8,49,56,49,
1,1,1,1,1],[1,49,343,49,343,1,56,49,343,49,56,49,392,343,49,49,392,8,49,49,56,
56,49,56,1,1,1,1,1,1,1,1],[1,49,343,49,343,1,56,49,343,49,56,343,49,392,343,
49,49,392,343,8,49,49,56,49,56,49,56,49,1,1,1,1,1,1,1,1,1,1],[1,2107,58996,
2107,44247,14749,58996,117992,344,19264,2107,44247,44247,44247,29498,44247,
88494,58996,58996,58996,235984,16856,19264,14749,29498,44247,44247,44247,
44247,88494,58996,88494,16856,134848,29498,58996,58996,58996,235984,16856,
29498,44247,44247,44247,88494,88494,16856,134848,43904,29498,29498,29498,
58996,58996,58996,58996,2752,16856,14749,44247,44247,16856,29498,29498,29498,
58996,58996,19264,16856,44247,43904,19264,16856,16856,14749,29498,19264,2107,
16856,16856,344,14749,2107,344,344,2107,344,344,2107,344,344,344,344,344,1]],
[1,2,3,4,4,4,6,6,7,7,8,8,8,8,8,8,8,12,12,12,12,14,14,16,16,16,16,16,16,16,16,
16,21,21,24,24,24,24,24,28,32,32,32,32,32,32,42,42,43,48,48,48,48,48,48,48,49,
56,64,64,64,84,96,96,96,96,96,98,112,128,129,147,168,168,192,192,294,336,336,
336,343,384,672,686,1029,1344,1372,2058,2688,2744,4116,5488,8232,16464,
5663616],
[95,89,66,89,70,82,66,56,94,77,89,70,70,70,76,70,61,66,66,66,39,79,77,82,76,
70,70,70,70,61,66,61,79,48,76,66,66,66,39,79,76,70,70,70,61,60,79,48,71,76,76,
76,67,66,66,66,88,79,82,70,70,79,76,76,76,66,67,77,79,70,71,77,80,79,82,76,77,
89,79,80,94,82,89,94,94,89,94,94,89,94,94,94,94,94,95],
[1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,1,2,3,1,3,6,1,10,1,2,5,5,1,1,2,1,5,9,10,15,3,3,
1,21,1,2,1,5,5,5,2,9,10,1,35,35,15,24,3,1,3,1,1,1,5,5,9,35,35,15,7,53,10,9,13,
49,57,73,9,59,35,57,78,9,73,9,75,78,81,81,78,81,81,78,81,81,81,81,81,95],
[(  2, 56)(  3,262)(  4, 65)(  5,174)(  6,128)(  7,108)(  8,198)(  9,221)
( 10, 39)( 11, 86)( 12,137)( 13,308)( 14, 27)( 15,220)( 17, 35)( 18,333)
( 19,159)( 20,136)( 21,124)( 22,329)( 23,297)( 24,235)( 25,289)( 26,274)
( 28,171)( 29,140)( 30,277)( 31, 36)( 32,183)( 33,207)( 34, 78)( 37,316)
( 38, 92)( 40, 94)( 41,143)( 42,332)( 43,271)( 44,111)( 45,336)( 46, 52)
( 47,110)( 48,189)( 49,239)( 50,315)( 51,210)( 53, 83)( 54,169)( 55,134)
( 57,109)( 58,295)( 59,114)( 60,327)( 61,257)( 62,249)( 63,199)( 64,267)
( 66,242)( 67, 99)( 68,118)( 69,115)( 70,150)( 71,175)( 72,116)( 73,158)
( 74,168)( 75,126)( 76,258)( 77,335)( 79,141)( 80,157)( 81,241)( 82, 85)
( 87,106)( 88,142)( 89,196)( 90,152)( 91,292)( 93,299)( 95,250)( 96, 98)
( 97,281)(100,276)(101,162)(102,213)(103,112)(104,312)(105,218)(107,253)
(113,314)(117,146)(119,338)(120,279)(121,233)(122,193)(123,341)(125,234)
(127,172)(129,303)(130,344)(131,197)(132,208)(133,164)(135,236)(138,264)
(139,309)(144,225)(145,186)(147,304)(148,288)(149,219)(151,191)(153,181)
(154,188)(155,318)(156,251)(160,302)(161,204)(163,296)(165,280)(166,173)
(167,206)(170,201)(176,179)(177,228)(178,215)(180,340)(182,256)(184,203)
(185,306)(187,211)(190,313)(192,229)(194,331)(195,343)(202,319)(205,301)
(209,323)(212,230)(214,240)(216,324)(217,222)(223,254)(224,275)(226,237)
(231,282)(232,285)(238,273)(243,320)(244,317)(245,328)(246,247)(248,310)
(252,330)(255,261)(259,311)(260,283)(263,284)(266,300)(268,305)(269,342)
(270,325)(272,278)(286,294)(287,321)(290,322)(293,326)(298,307)(334,339),
(  1,210,153)(  2,200,286)(  3,241, 14)(  4, 37,217)(  5,177,331)(  6, 74,229)
(  7,137,269)(  8,279,323)(  9,186,132)( 10,150, 81)( 11, 50,204)( 12, 83,238)
( 13,260,119)( 15, 98,231)( 16,211,294)( 17,100, 86)( 18,133,113)( 19,112, 21)
( 20,149,343)( 22,224, 76)( 23,280,139)( 24,230,129)( 25, 47,302)( 26, 49, 53)
( 27,256,339)( 28,297, 33)( 29,322,151)( 30, 55,104)( 31,206, 87)( 32,295,123)
( 34, 40,216)( 35, 92,167)( 36,287,291)( 38,234,105)( 39,314,325)( 41,265, 54)
( 42, 52,313)( 43,321,235)( 44,274,143)( 45,164,178)( 46, 94,246)( 48,175,190)
( 51,156,202)( 56,148, 99)( 57,263,240)( 58,255,130)( 59,214,138)( 60,292,266)
( 61,268,115)( 62,249,124)( 63,307,173)( 64,188,152)( 65,282,140)( 66,189,117)
( 67,196,207)( 68,102,103)( 69,288,258)( 70,285,161)( 71,201,277)( 72,320,328)
( 73,209,259)( 75,250,101)( 77,193,296)( 78,332,337)( 79,342,171)( 80,212,315)
( 82, 90,203)( 84,300,261)( 85,239,199)( 88, 91,264)( 89,283,185)( 93,194,252)
( 95,159,341)( 96,195,176)( 97,236,326)(106,142,271)(107,218,165)(108,237,169)
(109,308,324)(110,180,226)(111,168,272)(114,275,172)(116,221,310)(118,330,197)
(120,303,305)(121,301,232)(122,179,162)(125,335,158)(126,245,298)(127,187,154)
(128,306,304)(131,333,293)(134,213,327)(136,262,243)(141,182,299)(144,289,340)
(145,284,309)(146,312,155)(147,248,244)(157,267,254)(160,317,227)(166,191,233)
(170,316,338)(174,290,336)(181,278,192)(183,276,253)(184,198,318)(205,334,222)
(208,281,242)(215,219,329)(220,270,273)(223,225,319)(228,251,311)
(247,257,344)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-1,5,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,
1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,
-1],[6,2],[11,1,12,3,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,
-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,
1,1,2,1,1,1],[6,1,7,-1,6,1,7,1],[8,1,6,1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,
-1,1,1,2,1,1,1],[6,1,7,1],[7,1,6,1],[8,1,9,-2,6,1,8,-1,7,1,6,1]],[[1,1,2,-1,1,
1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,
4]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,
-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,5,1]]],[[[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],[2,-1],[9,1,7,
-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-3,5,1,10,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[6,1,1,
1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[
10,2,5,1],[5,1,10,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,
1,10,1],[11,1,10,2,5,1,11,-1,10,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,
1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,1,11,1,6,2,11,1,6,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1],[6,2],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,
1,4,-1,1,1,3,-1],[6,2],[7,-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,
3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,
1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[11,2,6,2,11,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,
1,1,2,-1,1,1,2,1,1,1],[6,1,7,1],[7,1,6,1],[8,2,9,1,7,1,9,-1,8,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,
1,2,-1,1,1,2,-1,1,1,2,1,1,1],[7,1,6,1,7,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,
1,1,6,-1,8,-1],[5,1,10,-4,5,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,
-1],[5,1,10,1],[10,1,5,1],[10,1,12,-1,11,-1,10,1,12,1,11,-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],[2,-1],[9,1,7,-1,6,-2,
8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,-4]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,
9,-1],[6,3,11,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[
10,1,5,1,10,-1,11,2,10,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,
1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,
1],[8,1,6,1,7,1,6,1,8,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,
5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[7,1,6,
1],[6,1,7,-1,8,-1,6,1,7,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,
-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,
1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,2,11,1,6,2,11,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,4]]],[[[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],[2,-1],[9,1,
7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,10,2,5,1,11,-1,10,-1,
11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,
-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],[
2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,10,1,5,1,
10,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-2,5,1,
10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-1,5,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,
3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,-1],[7,-1,8,2,6,1,7,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,
-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,-1,6,1,7,1,6,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,
-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,
-1,7,1,1,1,9,-1],[6,2,11,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,
3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,
1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,2,11,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,
-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,
-1,7,1,1,1,9,-1],[6,2,11,1,6,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,3]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[5,1,10,1],[11,2,10,1,5,1,11,-1,10,-1,11,-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],[2,-1],[9,1,7,-1,6,
-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,10,1,5,1,10,-1,5,1,11,
-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,1,5,1,
10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,4]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,
1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,-1,6,1,7,1,6,1,7,1,6,1]],[[1,1,2,-1,
1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,
1],[5,1,10,-2,11,-1,10,1,11,1,10,1,5,1]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,
-1,8,-1],[5,1,10,1],[11,2,10,1,5,1,11,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,
1,6,-1,8,-1],[10,-1,5,1,10,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[
5,1,10,-6]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,1,5,1,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,4,-1,1,1,3,-1,
2,1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,
4,-1,1,1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,1],[7,-1,8,1,6,
1,7,-1,8,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,
-1,1,1,3,-1,2,1,3,1],[6,1,1,-1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,6,1]]],[[[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],[2,-1],[9,1,7,
-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,5,1,10,2,5,1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2],[7,
-4]],[[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,-1,4,
-1,3,1,1,1,5,-1],[7,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,
-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,
1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,1,11,2,6,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,
-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-1,5,1,10,-3]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[5,1,10,1],[10,-1,11,2,10,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[5,1,10,-2,5,1,10,2,5,1]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,
-1,8,-1],[5,1,10,1],[11,1,10,1,5,1,10,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[5,1,10,1],[5,1,10,-2,11,-1,10,-2,11,-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],[2,-1],[9,1,7,-1,6,-2,8,
-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-1,5,1,10,-3]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,
-1,1,1,6,-1,8,-1],[10,1,5,1],[11,2,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,
4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[5,1,10,1],[10,-1,11,2,10,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[5,1,10,1],[11,1,10,2,5,1,11,-1,10,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,
-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,1,11,1],[12,1,11,1,12,1]]],[[[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],[2,-1],[9,1,7,
-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,5,1,11,-1,10,1,5,1,10,
-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],[
2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,4]],[[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],[2,-1],[9,1,7,-1,6,-2,
8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,3,5,1,10,1,5,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,1],[1,1,
2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,1],[8,1,6,1,7,1,6,1,8,-2]],[[1,1,2,-1,1,1,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2],[7,1,4,1,5,
-1,6,-2,5,1,7,1,4,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[12,1,9,2,10,-1,
11,1,9,1,10,-2,11,1,12,1],[8,-1,13,-1,8,-1,13,-1,8,-1,13,-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],[2,-1],[9,1,7,-1,6,
-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[5,1,10,-2,11,-1,10,1,11,1,10,1,5,
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],[2,
-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,2,10,1,5,1,11,
-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,5,1,10,-1,5,
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],[
2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,2,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,
1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,-2,11,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,
-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,10,1,5,1,10,-1,11,
-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],[
2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-1,5,1,10,-2,5,1,10,
-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],[
2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,2,5,1,10,-1,5,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,
-1,7,1,1,1,9,-1],[6,1,11,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,
-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,4]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,
-1,8,-1],[5,1,10,1],[11,1,10,1,11,2,10,1]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[5,1,10,1],[10,1,5,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[6,1,4,-1,3,-2,5,-1,6,1,4,-1,1,1,3,-1,5,-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],[2,-1],[9,1,7,-1,6,-2,8,
-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-6]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,
-1,8,-1],[5,1,10,1],[10,1,5,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1],[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[6,2],[10,
-1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,
2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[10,
1,6,-2,10,-1,6,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,
-1],[11,2,10,-1,5,1,10,1]]],[[[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,-1,4,-1,3,1,1,1,5,-1],[7,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,4]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[11,1,6,
1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,
1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,
-1,8,-1,7,1,1,1,9,-1],[6,2,11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,
-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,
1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,-2,11,-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,-1,4,-1,3,1,1,1,5,-1],[7,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1],[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[6,2,10,-1,
6,-1,10,-1,6,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,
2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,
-1,2,1],[6,1,10,4,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,
5,1],[10,1,11,2,10,1,5,1]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,
10,1],[10,-1,11,2,10,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,
10,1],[11,1,10,1,5,1,10,-1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,
-1],[5,1,10,-1,5,1,10,-3]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,
5,1,10,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,-1,
5,1,10,-2,11,1]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,2,5,1,10,-1,
5,1,10,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[11,1,
10,1,11,2,10,1]],[[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],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[6,-2,11,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,8,-1,1,1,7,-1,10,-1,8,
-1,7,1,1,1,9,-1],[11,1,6,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,
4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,4],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,8,-2,2,
-1,10,1,8,2,9,1,10,-1,2,-1],[7,2],[12,1,7,1,12,1,11,1,7,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,
1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,1,11,1],[12,1,11,1,12,1]],[[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],[2,-1],[9,1,7,-1,6,
-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,4,2,5,-1,3,-1,2,-1,5,1,4,-1,1,1,3,-1],[6,2]],[[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,-1,4,-1,3,1,1,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2],[7,1,4,1,5,-1,6,-2,5,1,7,1,4,-1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,3,2,4,-1,5,1,3,1,4,-2,5,1,6,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,4],[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[9,1,8,-2,2,-1,10,1,8,2,9,1,10,-1,2,-1],[7,1,11,1,7,
3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,
1,3,-1,2,1,3,1],[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1],[6,1,7,1],[8,1,6,1,7,1,6,1,7,
1,8,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,
4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,
6,-1,8,-1],[5,1,10,1],[11,2,10,1,5,1,11,-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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,
1,6,-1,8,-1],[5,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,2,5,-1,3,
-1,2,-1,5,1,4,-1,1,1,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,7,1],[10,1,9,1,
8,-1,1,1,7,-1,10,-1,8,-1,7,1,1,1,9,-1],[11,1,6,-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,-1,4,-1,3,1,1,1,5,-1],[7,2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[9,1,
7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,1],[10,-1,11,2,10,1]],[[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],[2,-1],[9,1,7,
-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,5,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[6,1,10,1,6,2,10,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[6,2],[6,1,10,1,11,-1,10,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,
-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,7,-1,2,1],[6,1,
10,1],[10,1,6,1],[10,2],[13,1,11,1,12,2,11,1,13,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,
7,-1,1,1,6,-1,8,-1],[5,1,10,4]],[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[
10,1,5,1,10,-1,5,1]]],[[[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],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[10,1,5,1,
10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,4,-2],[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[9,1,7,-1,6,-2,8,-1,9,1,7,-1,1,1,6,-1,8,-1],[5,1,10,-2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,-1,4,1,5,-1,2,1,5,1,4,-1,1,1,3,-1,2,1,3,
1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,
9,1,8,-1,1,1,7,-1,2,1],[10,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,
1,5,1,3,2,4,1,6,1,3,1,1,1,4,1,5,-1],[7,14]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,1,1,1,4,2,2,1,3,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,4,
-1,3,-2,5,-1,6,1,4,-1,1,1,3,-1,5,-1],[7,4]],[[1,1,2,1],[2,1,1,1],[2,1,3,3,2,1,
4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,4,-1,1,1,3,-1,2,
1],[6,4],[7,2],[8,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,3,2,
4,1,5,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,4,-1,1,1,3,
-1,2,1],[6,4],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,8,-2,2,-1,10,1,8,2,9,1,10,
-1,2,-1],[11,1,7,-1,11,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,4],[7,-4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,4],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,8,-2,
2,-1,10,1,8,2,9,1,10,-1,2,-1],[7,1,11,-1,7,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,-1],[6,1,4,-1,3,-2,5,-1,6,1,4,-1,1,1,3,-1,5,-1],[7,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,3,2,1,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,
-1,5,1,4,-1,1,1,3,-1,2,1],[6,4],[7,3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,
-2,2,-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,
-1,5,1,3,2,4,1,5,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,1,
3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,1,
7,-1,2,1],[10,1,6,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,
1,3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,-1,1,
1,7,-1,2,1],[10,1,6,1],[6,1,10,3],[11,1,12,1,11,1,12,1]]],[[[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],[2,-1],[6,1,4,-1,3,-2,
5,-1,6,1,4,-1,1,1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,
-1,5,1,3,2,4,1,5,-1,2,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[9,1,7,2,8,-1,9,1,8,
-1,1,1,7,-1,2,1],[6,1,10,1],[11,2,10,1,11,1,10,2]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,4]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,
1,3,-2,2,-1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,
2,4,-1,5,1,4,-1,1,1,3,-1,2,1],[6,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,
-2,2,-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,
-1,5,1,3,2,4,1,5,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,-1,5,1,
4,-1,1,1,3,-1,2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "U3(8)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,2,8],[1,2,3,9],[1,2,4,10],[
1,11],[1,2,5,12],[1,2,5,7,13],[1,2,5,7,14],[1,2,5,7,15],[1,2,5,8,16],[1,2,5,8,
17],[1,2,5,8,18],[1,2,5,6,19],[1,2,5,6,20],[1,2,5,6,21],[1,2,7,22],[1,2,8,
23],[1,2,6,24],[1,4,25],[1,4,26],[1,4,27],[1,3,4,28],[1,4,29],[1,2,3,5,9,30],[
1,2,11,31],[1,2,5,7,12,13,14,15,32],[1,2,5,8,12,16,17,18,33],[1,2,5,6,12,19,
20,21,34],[1,2,5,8,16,23,35],[1,2,5,8,18,23,36],[1,2,5,8,17,23,37],[1,2,5,7,
13,22,38],[1,2,5,7,15,22,39],[1,2,5,7,14,22,40],[1,2,5,6,19,24,41],[1,2,5,6,
21,24,42],[1,2,5,6,20,24,43],[1,2,5,6,7,8,14,18,21,44],[1,2,5,6,7,8,15,17,21,
45],[1,2,5,6,7,8,13,16,21,46],[1,2,5,6,7,8,14,16,20,47],[1,2,5,6,7,8,15,18,20,
48],[1,2,5,6,7,8,13,17,20,49],[1,2,5,6,7,8,15,16,19,50],[1,2,5,6,7,8,14,17,19,
51],[1,2,5,6,7,8,13,18,19,52],[1,2,5,7,13,14,15,53],[1,2,5,8,16,17,18,54],[1,
2,5,6,19,20,21,55],[1,2,4,10,27,56],[1,2,4,10,26,57],[1,2,4,10,25,58],[1,2,4,
10,29,59],[1,2,3,4,9,10,28,60],[1,61],[1,3,11,62],[1,2,3,5,9,12,30,63],[1,2,3,
8,9,23,64],[1,2,3,7,9,22,65],[1,2,3,6,9,24,66],[1,3,4,28,29,67],[1,3,4,25,28,
68],[1,3,4,27,28,69],[1,3,4,26,28,70],[1,2,5,6,12,19,20,21,24,34,41,42,43,
71],[1,2,5,8,12,16,17,18,23,33,35,36,37,72],[1,2,5,7,12,13,14,15,22,32,38,39,
40,73],[1,2,5,6,7,12,13,14,15,19,20,21,32,34,74],[1,2,5,6,7,12,13,14,15,19,20,
21,32,34,75],[1,2,5,6,7,12,13,14,15,19,20,21,32,34,76],[1,2,5,7,8,12,13,14,15,
16,17,18,32,33,77],[1,2,5,7,8,12,13,14,15,16,17,18,32,33,78],[1,2,5,7,8,12,13,
14,15,16,17,18,32,33,79],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,80],[1,2,5,6,8,
12,16,17,18,19,20,21,33,34,81],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,82],[1,2,
5,6,8,12,16,17,18,19,20,21,33,34,83],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,
84],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,85],[1,2,5,6,7,12,13,14,15,19,20,21,
32,34,86],[1,2,5,6,7,12,13,14,15,19,20,21,32,34,87],[1,2,5,6,7,12,13,14,15,19,
20,21,32,34,88],[1,2,5,7,8,12,13,14,15,16,17,18,32,33,89],[1,2,5,7,8,12,13,14,
15,16,17,18,32,33,90],[1,2,5,7,8,12,13,14,15,16,17,18,32,33,91],[1,2,5,6,7,8,
12,13,14,15,16,17,18,19,20,21,32,33,34,52,92],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,32,33,34,51,93],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,
34,50,94],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,46,95],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,45,96],[1,2,5,6,7,8,12,13,14,15,16,
17,18,19,20,21,32,33,34,44,97],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,
33,34,48,98],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,49,99],[1,2,
5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,100],[1,2,5,7,12,13,14,15,
32,53,101],[1,2,5,6,12,19,20,21,34,55,102],[1,2,5,8,12,16,17,18,33,54,103],[1,
2,4,8,10,27,56,104],[1,2,4,6,10,26,57,105],[1,2,4,7,10,25,58,106],[1,2,3,9,11,
31,62,107],[1,2,3,5,7,9,14,22,30,40,65,108],[1,2,3,5,7,9,15,22,30,39,65,109],[
1,2,3,5,7,9,13,22,30,38,65,110],[1,2,3,5,8,9,18,23,30,36,64,111],[1,2,3,5,8,9,
17,23,30,37,64,112],[1,2,3,5,8,9,16,23,30,35,64,113],[1,2,3,5,6,9,19,24,30,41,
66,114],[1,2,3,5,6,9,21,24,30,42,66,115],[1,2,3,5,6,9,20,24,30,43,66,116],[1,
2,3,4,9,10,27,28,56,60,69,117],[1,2,3,4,9,10,25,28,58,60,68,118],[1,2,3,4,9,
10,26,28,57,60,70,119],[1,2,3,4,9,10,28,29,59,60,67,120],[1,2,5,11,12,121],[1,
4,61,122],[1,2,5,8,12,16,17,18,33,54,103,123],[1,2,5,6,12,19,20,21,34,55,102,
124],[1,2,5,7,12,13,14,15,32,53,101,125],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,
20,21,23,32,33,34,35,36,37,47,54,72,77,79,83,85,100,103,126],[1,2,5,6,7,8,12,
13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,52,54,72,77,78,83,84,92,103,
127],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,45,54,72,
78,79,84,85,96,103,128],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,
34,41,42,43,50,55,71,74,76,80,81,94,102,129],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,24,32,33,34,41,42,43,44,55,71,74,75,80,82,97,102,130],[1,2,5,6,7,
8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,49,55,71,75,76,81,82,99,
102,131],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,46,
53,73,87,88,90,91,95,101,132],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,
32,33,34,38,39,40,48,53,73,86,88,89,90,98,101,133],[1,2,5,6,7,8,12,13,14,15,
16,17,18,19,20,21,22,32,33,34,38,39,40,51,53,73,86,87,89,91,93,101,134],[1,2,
5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,51,75,78,81,88,93,100,135],[
1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,46,52,76,79,80,86,92,95,
136],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,45,48,74,77,82,87,96,
98,137],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,48,52,76,82,85,91,
92,98,138],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,46,47,75,80,84,
89,95,100,139],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,45,51,74,
81,83,90,93,96,140],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,48,50,
75,79,83,91,94,98,141],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,44,
51,76,77,84,90,93,97,142],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,
46,49,74,78,85,89,95,99,143],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,
34,44,46,77,81,85,86,95,97,144],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,
33,34,50,51,79,82,84,88,93,94,145],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
32,33,34,48,49,78,80,83,87,98,99,146],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,
21,32,33,34,47,49,74,84,86,91,99,100,147],[1,2,5,6,7,8,12,13,14,15,16,17,18,
19,20,21,32,33,34,44,45,76,83,88,89,96,97,148],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,32,33,34,50,52,75,85,87,90,92,94,149],[1,2,5,6,7,8,12,13,14,15,16,
17,18,19,20,21,32,33,34,47,50,78,82,86,90,94,100,150],[1,2,5,6,7,8,12,13,14,
15,16,17,18,19,20,21,32,33,34,44,52,79,81,87,89,92,97,151],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,32,33,34,45,49,77,80,88,91,96,99,152],[1,2,5,6,7,8,12,
13,14,15,16,17,18,19,20,21,32,33,34,45,48,55,75,76,81,86,96,98,102,153],[1,2,
5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,51,55,74,76,80,87,93,100,
102,154],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,46,52,55,74,75,
82,88,92,95,102,155],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,48,
50,54,77,78,84,89,94,98,103,156],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
32,33,34,46,49,54,77,79,83,90,95,99,103,157],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,32,33,34,44,51,54,78,79,85,91,93,97,103,158],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,32,33,34,48,49,54,79,81,84,85,98,99,103,159],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,44,46,54,78,82,83,84,95,97,103,
160],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,50,51,54,77,80,83,85,
93,94,103,161],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,48,52,55,
74,80,81,84,92,98,102,162],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,
34,46,47,55,76,81,82,83,95,100,102,163],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,
20,21,32,33,34,45,51,55,75,80,82,85,93,96,102,164],[1,2,5,6,7,8,12,13,14,15,
16,17,18,19,20,21,32,33,34,45,49,53,79,86,89,90,96,99,101,165],[1,2,5,6,7,8,
12,13,14,15,16,17,18,19,20,21,32,33,34,44,52,53,78,88,90,91,92,97,101,166],[1,
2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,50,53,77,87,89,91,94,100,
101,167],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,49,53,76,87,
88,90,99,100,101,168],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,44,
45,53,75,86,87,91,96,97,101,169],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
32,33,34,50,52,53,74,86,88,89,92,94,101,170],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,32,33,34,44,45,47,48,54,80,90,96,97,98,100,103,171],[1,2,5,6,7,8,
12,13,14,15,16,17,18,19,20,21,32,33,34,45,46,50,52,54,81,91,92,94,95,96,103,
172],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,47,49,51,52,54,82,89,
92,93,99,100,103,173],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,44,
49,51,52,55,83,86,92,93,97,99,102,174],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,
20,21,32,33,34,45,46,49,50,55,84,87,94,95,96,99,102,175],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,32,33,34,44,47,48,50,55,85,88,94,97,98,100,102,176],[
1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,48,49,51,52,53,75,77,92,93,
98,99,101,177],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,32,33,34,45,46,50,
51,53,76,78,93,94,95,96,101,178],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
32,33,34,44,46,47,48,53,74,79,95,97,98,100,101,179],[1,2,5,6,7,8,12,13,14,15,
16,17,18,19,20,21,23,32,33,34,35,36,37,44,49,50,72,80,81,82,94,97,99,180],[1,
2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,45,47,52,71,83,
84,85,92,96,100,181],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,
38,39,40,45,47,52,73,77,78,79,92,96,100,182],[1,2,5,6,7,8,12,13,14,15,16,17,
18,19,20,21,22,32,33,34,38,39,40,44,49,50,73,74,75,76,94,97,99,183],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,46,48,51,72,89,90,91,
93,95,98,184],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,
46,48,51,71,86,87,88,93,95,98,185],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,54,
80,81,82,83,84,85,103,186],[1,2,5,6,8,12,16,17,18,19,20,21,33,34,55,80,81,82,
83,84,85,102,187],[1,2,5,6,7,12,13,14,15,19,20,21,32,34,53,74,75,76,86,87,88,
101,188],[1,2,5,7,8,12,13,14,15,16,17,18,32,33,53,77,78,79,89,90,91,101,189],[
1,2,5,7,8,12,13,14,15,16,17,18,32,33,54,77,78,79,89,90,91,103,190],[1,2,5,6,7,
12,13,14,15,19,20,21,32,34,55,74,75,76,86,87,88,102,191],[1,2,4,8,10,23,27,56,
104,192],[1,2,4,6,10,24,26,57,105,193],[1,2,4,7,10,22,25,58,106,194],[1,3,4,
25,26,27,28,29,67,68,69,70,195],[1,2,3,5,7,9,12,13,14,15,22,30,32,38,39,40,63,
65,73,108,109,110,196],[1,2,3,5,8,9,12,16,17,18,23,30,33,35,36,37,63,64,72,
111,112,113,197],[1,2,3,5,6,9,12,19,20,21,24,30,34,41,42,43,63,66,71,114,115,
116,198],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,32,33,34,35,36,
37,38,39,40,41,42,43,46,48,51,53,71,72,73,86,87,88,89,90,91,93,95,98,101,132,
133,134,184,185,199],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,32,
33,34,35,36,37,38,39,40,41,42,43,45,47,52,54,71,72,73,77,78,79,83,84,85,92,96,
100,103,126,127,128,181,182,200],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
22,23,24,32,33,34,35,36,37,38,39,40,41,42,43,44,49,50,55,71,72,73,74,75,76,80,
81,82,94,97,99,102,129,130,131,180,183,201],[1,2,5,6,7,8,12,13,14,15,16,17,18,
19,20,21,23,32,33,34,35,36,37,44,45,46,48,50,51,52,53,54,72,76,77,78,79,82,83,
84,85,88,89,90,91,92,93,94,95,96,97,98,101,103,127,128,138,142,145,148,156,
158,160,166,178,184,189,190,202],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
23,32,33,34,35,36,37,46,47,48,49,50,51,52,53,54,72,75,77,78,79,80,83,84,85,87,
89,90,91,92,93,94,95,98,99,100,101,103,126,127,139,141,146,149,156,157,161,
167,177,184,189,190,203],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,
34,35,36,37,44,45,46,47,48,49,51,53,54,72,74,77,78,79,81,83,84,85,86,89,90,91,
93,95,96,97,98,99,100,101,103,126,128,140,143,144,147,157,158,159,165,179,184,
189,190,204],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,
44,46,47,48,50,51,52,53,55,71,74,75,76,79,80,81,82,84,86,87,88,89,92,93,94,95,
97,98,100,101,102,129,130,136,139,145,151,154,155,162,170,179,185,188,191,
205],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,44,45,46,
48,49,51,52,53,55,71,74,75,76,77,80,81,82,85,86,87,88,91,92,93,95,96,97,98,99,
101,102,130,131,137,138,144,152,153,155,164,169,177,185,188,191,206],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,45,46,47,48,49,50,51,
53,55,71,74,75,76,78,80,81,82,83,86,87,88,90,93,94,95,96,98,99,100,101,102,
129,131,135,140,146,150,153,154,163,168,178,185,188,191,207],[1,2,5,6,7,8,12,
13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,44,45,47,48,50,51,52,54,55,71,
74,75,76,77,80,81,82,83,84,85,87,90,92,93,94,96,97,98,100,102,103,129,130,137,
140,142,149,154,161,162,164,171,181,186,187,208],[1,2,5,6,7,8,12,13,14,15,16,
17,18,19,20,21,24,32,33,34,41,42,43,45,46,47,48,49,50,52,54,55,71,74,75,76,79,
80,81,82,83,84,85,86,91,92,94,95,96,98,99,100,102,103,129,131,136,138,141,147,
153,159,162,163,172,181,186,187,209],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,
21,24,32,33,34,41,42,43,44,45,46,47,49,51,52,54,55,71,74,75,76,78,80,81,82,83,
84,85,88,89,92,93,95,96,97,99,100,102,103,130,131,135,139,143,148,155,160,163,
164,173,181,186,187,210],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,
34,35,36,37,44,45,47,48,49,50,51,54,55,72,75,77,78,79,80,81,82,83,84,85,88,91,
93,94,96,97,98,99,100,102,103,126,128,135,141,145,152,158,159,161,164,176,180,
186,187,211],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,
44,46,47,49,50,51,52,54,55,72,76,77,78,79,80,81,82,83,84,85,86,90,92,93,94,95,
97,99,100,102,103,126,127,136,142,144,150,157,160,161,163,174,180,186,187,
212],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,44,45,46,
48,49,50,52,54,55,72,74,77,78,79,80,81,82,83,84,85,87,89,92,94,95,96,97,98,99,
102,103,127,128,137,143,146,151,156,159,160,162,175,180,186,187,213],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,44,45,48,49,50,51,52,
53,55,73,74,75,76,79,81,83,86,87,88,89,90,91,92,93,94,96,97,98,99,101,102,133,
134,140,141,148,151,153,165,169,170,174,183,188,191,214],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,44,46,47,48,49,50,52,53,55,73,74,
75,76,78,82,85,86,87,88,89,90,91,92,94,95,97,98,99,100,101,102,132,133,138,
143,149,150,155,166,168,170,176,183,188,191,215],[1,2,5,6,7,8,12,13,14,15,16,
17,18,19,20,21,22,32,33,34,38,39,40,44,45,46,47,49,50,51,53,55,73,74,75,76,77,
80,84,86,87,88,89,90,91,93,94,95,96,97,99,100,101,102,132,134,139,142,147,152,
154,167,168,169,175,183,188,191,216],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,
21,22,32,33,34,38,39,40,45,47,48,49,50,51,52,53,54,73,74,77,78,79,82,84,86,87,
88,89,90,91,92,93,94,96,98,99,100,101,103,133,134,137,145,147,150,156,165,167,
170,173,182,189,190,217],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,
34,38,39,40,44,45,46,47,50,51,52,53,54,73,75,77,78,79,81,85,86,87,88,89,90,91,
92,93,94,95,96,97,100,101,103,132,134,135,144,149,151,158,166,167,169,172,182,
189,190,218],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,
44,45,46,47,48,49,52,53,54,73,76,77,78,79,80,83,86,87,88,89,90,91,92,95,96,97,
98,99,100,101,103,132,133,136,146,148,152,157,165,166,168,171,182,189,190,
219],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,71,75,76,77,79,81,82,83,84,85,86,87,88,89,90,92,93,
94,95,96,97,98,99,100,101,102,103,131,142,145,149,151,157,159,165,168,173,174,
175,177,181,185,220],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,74,75,78,79,80,82,83,84,85,86,
87,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,130,141,146,147,150,158,
160,166,169,171,174,176,179,181,185,221],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,
20,21,24,32,33,34,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,74,76,77,78,
80,81,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,129,143,
144,148,152,156,161,167,170,172,175,176,178,181,185,222],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,44,45,46,47,48,49,50,51,52,53,54,
55,72,74,75,77,78,80,81,82,83,84,86,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,127,135,140,147,152,155,162,166,170,172,173,174,177,180,184,223],[
1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,44,45,46,47,48,
49,50,51,52,53,54,55,72,74,76,77,79,80,81,82,83,85,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,126,137,138,148,151,154,163,167,168,171,173,176,
179,180,184,224],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,
37,44,45,46,47,48,49,50,51,52,53,54,55,72,75,76,78,79,80,81,82,84,85,86,87,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,128,136,139,149,150,153,164,165,
169,171,172,175,178,180,184,225],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,
22,32,33,34,38,39,40,44,45,46,47,48,49,50,51,52,53,54,55,73,74,75,76,77,78,79,
81,82,83,84,87,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,132,137,140,
141,145,155,157,160,163,172,175,178,179,182,183,226],[1,2,5,6,7,8,12,13,14,15,
16,17,18,19,20,21,22,32,33,34,38,39,40,44,45,46,47,48,49,50,51,52,53,54,55,73,
74,75,76,77,78,79,80,82,83,85,86,87,89,91,92,93,94,95,96,97,98,99,100,101,102,
103,134,136,138,143,146,154,158,161,164,173,174,177,178,182,183,227],[1,2,5,6,
7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,44,45,46,47,48,49,50,
51,52,53,54,55,73,74,75,76,77,78,79,80,81,84,85,86,88,89,90,92,93,94,95,96,97,
98,99,100,101,102,103,133,135,139,142,144,153,156,159,162,171,176,177,179,182,
183,228],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,32,33,34,38,39,40,44,
45,46,47,48,49,50,51,52,53,73,74,75,76,77,78,79,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,125,132,133,134,165,166,167,168,169,170,177,178,179,188,
189,229],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,24,32,33,34,41,42,43,44,
45,46,47,48,49,50,51,52,55,71,74,75,76,80,81,82,83,84,85,86,87,88,92,93,94,95,
96,97,98,99,100,102,124,129,130,131,153,154,155,162,163,164,174,175,176,187,
191,230],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,23,32,33,34,35,36,37,44,
45,46,47,48,49,50,51,52,54,72,77,78,79,80,81,82,83,84,85,89,90,91,92,93,94,95,
96,97,98,99,100,103,123,126,127,128,156,157,158,159,160,161,171,172,173,186,
190,231],[1,2,3,4,9,10,25,26,27,28,29,56,57,58,59,60,67,68,69,70,117,118,119,
120,195,232],[1,2,3,5,9,11,12,30,62,63,121,233],[1,2,3,4,6,9,10,24,26,28,57,
60,66,70,105,119,193,234],[1,2,3,4,7,9,10,22,25,28,58,60,65,68,106,118,194,
235],[1,2,3,4,8,9,10,23,27,28,56,60,64,69,104,117,192,236],[1,2,5,6,7,8,12,13,
14,15,16,17,18,19,20,21,22,23,24,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,124,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,191,201,205,206,207,208,209,210,211,212,213,214,215,216,220,221,222,223,
224,225,226,227,228,230,237],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,
24,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,
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,
98,99,100,101,102,103,123,126,127,128,129,130,131,132,133,134,135,136,137,138,
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,
177,178,179,180,181,182,183,184,185,186,187,189,190,200,202,203,204,208,209,
210,211,212,213,217,218,219,220,221,222,223,224,225,226,227,228,231,238],[1,2,
5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,125,126,
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,
184,185,188,189,190,191,199,202,203,204,205,206,207,214,215,216,217,218,219,
220,221,222,223,224,225,226,227,228,229,239],[1,2,3,5,6,7,8,9,12,13,14,15,16,
17,18,19,20,21,22,23,24,30,32,33,34,35,36,37,38,39,40,41,42,43,44,49,50,55,63,
64,65,66,71,72,73,74,75,76,80,81,82,94,97,99,102,108,109,110,111,112,113,114,
115,116,129,130,131,180,183,196,197,198,201,240],[1,2,3,5,6,7,8,9,12,13,14,15,
16,17,18,19,20,21,22,23,24,30,32,33,34,35,36,37,38,39,40,41,42,43,45,47,52,54,
63,64,65,66,71,72,73,77,78,79,83,84,85,92,96,100,103,108,109,110,111,112,113,
114,115,116,126,127,128,181,182,196,197,198,200,241],[1,2,3,5,6,7,8,9,12,13,
14,15,16,17,18,19,20,21,22,23,24,30,32,33,34,35,36,37,38,39,40,41,42,43,46,48,
51,53,63,64,65,66,71,72,73,86,87,88,89,90,91,93,95,98,101,108,109,110,111,112,
113,114,115,116,132,133,134,184,185,196,197,198,199,242],[1,2,5,8,11,12,16,17,
18,33,54,103,121,123,243],[1,2,5,6,11,12,19,20,21,34,55,102,121,124,244],[1,2,
5,7,11,12,13,14,15,32,53,101,121,125,245],[1,2,4,5,10,11,12,29,31,59,121,
246],[1,2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
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,
180,181,182,183,184,185,186,187,188,189,190,191,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,237,238,239,247],[1,2,3,4,5,9,10,11,12,28,29,30,
31,59,60,62,63,67,107,120,121,233,246,248],[1,2,3,5,6,7,8,9,12,13,14,15,16,17,
18,19,20,21,22,23,24,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,63,64,65,66,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,108,109,110,111,112,
113,114,115,116,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
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,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,237,238,239,240,241,
242,247,249],[1,2,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,71,72,73,74,75,
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,
101,102,103,121,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
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,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,237,238,239,243,244,245,247,250],[
1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,30,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,62,63,64,65,66,71,72,
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,
99,100,101,102,103,108,109,110,111,112,113,114,115,116,121,123,124,125,126,
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,
184,185,186,187,188,189,190,191,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,233,237,238,239,240,241,242,243,244,245,247,249,250,
251],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1],[1,1,1,1],[1,3,1,1],[
1,1],[1,7,7,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,
3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,
4,1],[1,4,1],[1,4,1],[1,3,1,1],[1,1,1],[1,3,1,1,3,1],[1,7,1,1],[1,7,7,4,1,2,2,
2,1],[1,7,7,4,1,2,2,2,1],[1,7,7,4,1,2,2,2,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[
1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,
1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,
1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,
2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,1],[1,3,1,2,2,2,1,1,1,
1],[1,3,1,6,1,1,1,1],[1,3,1,6,1,1,1,1],[1,3,1,6,1,1,1,1],[1,9,4,12,1,1],[1,9,
4,12,1,1],[1,9,4,12,1,1],[1,9,1,3,1,1],[1,3,3,1,3,1,1,1],[1,1],[1,1,1,1],[1,7,
1,7,7,1,7,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,3,1,1,3,1],[1,
3,10,3,1,1],[1,3,10,3,1,1],[1,3,10,3,1,1],[1,7,7,12,1,6,6,6,16,3,4,4,4,1],[1,
7,7,12,1,6,6,6,16,3,4,4,4,1],[1,7,7,12,1,6,6,6,16,3,4,4,4,1],[1,7,7,8,4,1,2,2,
2,4,4,4,1,2,1],[1,7,7,8,4,1,2,2,2,4,4,4,1,2,1],[1,7,7,8,4,1,2,2,2,4,4,4,1,2,
1],[1,7,7,4,8,1,2,2,2,4,4,4,1,2,1],[1,7,7,4,8,1,2,2,2,4,4,4,1,2,1],[1,7,7,4,8,
1,2,2,2,4,4,4,1,2,1],[1,7,7,8,4,1,2,2,2,4,4,4,1,2,1],[1,7,7,8,4,1,2,2,2,4,4,4,
1,2,1],[1,7,7,8,4,1,2,2,2,4,4,4,1,2,1],[1,7,7,4,8,1,4,4,4,2,2,2,2,1,1],[1,7,7,
4,8,1,4,4,4,2,2,2,2,1,1],[1,7,7,4,8,1,4,4,4,2,2,2,2,1,1],[1,7,7,4,8,1,4,4,4,2,
2,2,2,1,1],[1,7,7,4,8,1,4,4,4,2,2,2,2,1,1],[1,7,7,4,8,1,4,4,4,2,2,2,2,1,1],[1,
7,7,8,4,1,4,4,4,2,2,2,2,1,1],[1,7,7,8,4,1,4,4,4,2,2,2,2,1,1],[1,7,7,8,4,1,4,4,
4,2,2,2,2,1,1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,
2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,
4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,
1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,
2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,7,7,4,4,4,1,2,2,2,
2,2,2,2,2,2,1,1,1,4,1],[1,7,7,12,1,6,6,6,3,4,1],[1,7,7,12,1,6,6,6,3,4,1],[1,7,
7,12,1,6,6,6,3,4,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[
1,7,1,7,1,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,
1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,
3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,9,3,10,9,12,3,1,1,3,1,1],[1,9,3,10,9,12,3,1,
1,3,1,1],[1,9,3,10,9,12,3,1,1,3,1,1],[1,9,3,1,9,3,1,3,1,3,1,1],[1,7,7,8,1,1],[
1,19,1,1],[1,7,7,28,1,14,14,14,7,28,7,1],[1,7,7,28,1,14,14,14,7,28,7,1],[1,7,
7,28,1,14,14,14,7,28,7,1],[1,7,7,4,4,20,1,2,2,2,10,10,10,2,2,2,16,1,5,1,4,4,4,
4,4,1,1,1,1,1,1,1,1],[1,7,7,4,4,20,1,2,2,2,10,10,10,2,2,2,16,1,5,1,4,4,4,4,4,
1,1,1,1,1,1,1,1],[1,7,7,4,4,20,1,2,2,2,10,10,10,2,2,2,16,1,5,1,4,4,4,4,4,1,1,
1,1,1,1,1,1],[1,7,7,20,4,4,1,2,2,2,2,2,2,10,10,10,16,1,1,5,4,4,4,4,4,1,1,1,1,
1,1,1,1],[1,7,7,20,4,4,1,2,2,2,2,2,2,10,10,10,16,1,1,5,4,4,4,4,4,1,1,1,1,1,1,
1,1],[1,7,7,20,4,4,1,2,2,2,2,2,2,10,10,10,16,1,1,5,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,7,7,4,20,4,1,10,10,10,2,2,2,2,2,2,16,5,1,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[
1,7,7,4,20,4,1,10,10,10,2,2,2,2,2,2,16,5,1,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,
7,4,20,4,1,10,10,10,2,2,2,2,2,2,16,5,1,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,12,
8,8,1,4,4,4,4,4,4,6,6,6,2,2,3,4,4,1,1,2,1,1,1,1],[1,7,7,12,8,8,1,4,4,4,4,4,4,
6,6,6,2,2,3,4,4,1,1,2,1,1,1,1],[1,7,7,12,8,8,1,4,4,4,4,4,4,6,6,6,2,2,3,4,4,1,
1,2,1,1,1,1],[1,7,7,12,8,8,1,4,4,4,4,4,4,6,6,6,2,2,3,4,4,2,1,1,1,1,1,1],[1,7,
7,12,8,8,1,4,4,4,4,4,4,6,6,6,2,2,3,4,4,2,1,1,1,1,1,1],[1,7,7,12,8,8,1,4,4,4,4,
4,4,6,6,6,2,2,3,4,4,2,1,1,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,
4,1,1,2,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,1,1,2,1,1,1,1],[
1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,1,1,2,1,1,1,1],[1,7,7,8,8,12,1,4,4,
4,6,6,6,4,4,4,2,3,2,4,4,2,1,1,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,
2,4,4,2,1,1,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,2,1,1,1,1,1,
1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,1,1,1,2,1,1,1],[1,7,7,8,12,8,1,
6,6,6,4,4,4,4,4,4,3,2,2,4,4,1,1,1,2,1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,
3,2,2,4,4,1,1,1,2,1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,1,1,2,1,
1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,1,1,2,1,1,1,1],[1,7,7,8,12,
8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,1,1,2,1,1,1,1],[1,7,7,16,8,4,1,4,4,4,2,2,2,8,
8,8,2,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,16,8,4,1,4,4,4,2,2,2,8,8,8,2,1,4,4,4,
4,1,1,1,1,1,1,1,1],[1,7,7,16,8,4,1,4,4,4,2,2,2,8,8,8,2,1,4,4,4,4,1,1,1,1,1,1,
1,1],[1,7,7,4,8,16,1,4,4,4,8,8,8,2,2,2,2,4,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,4,
8,16,1,4,4,4,8,8,8,2,2,2,2,4,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,4,8,16,1,4,4,4,8,
8,8,2,2,2,2,4,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,4,16,1,2,2,2,8,8,8,4,4,4,1,4,
2,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,4,16,1,2,2,2,8,8,8,4,4,4,1,4,2,4,4,4,1,1,1,
1,1,1,1,1],[1,7,7,8,4,16,1,2,2,2,8,8,8,4,4,4,1,4,2,4,4,4,1,1,1,1,1,1,1,1],[1,
7,7,16,4,8,1,2,2,2,4,4,4,8,8,8,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,16,4,8,1,2,
2,2,4,4,4,8,8,8,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,16,4,8,1,2,2,2,4,4,4,8,8,
8,1,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,4,16,8,1,8,8,8,4,4,4,2,2,2,4,2,1,4,4,4,
1,1,1,1,1,1,1,1],[1,7,7,4,16,8,1,8,8,8,4,4,4,2,2,2,4,2,1,4,4,4,1,1,1,1,1,1,1,
1],[1,7,7,4,16,8,1,8,8,8,4,4,4,2,2,2,4,2,1,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,16,
4,1,8,8,8,2,2,2,4,4,4,4,1,2,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,16,4,1,8,8,8,2,2,
2,4,4,4,4,1,2,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,16,4,1,8,8,8,2,2,2,4,4,4,4,1,2,
4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,4,4,4,1,1,
1,1,1,1,1,1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,7,7,8,8,12,1,4,4,4,6,6,6,4,4,4,2,3,2,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,
12,8,8,1,4,4,4,4,4,4,6,6,6,2,2,3,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,12,8,8,1,4,
4,4,4,4,4,6,6,6,2,2,3,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,12,8,8,1,4,4,4,4,4,4,
6,6,6,2,2,3,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,
2,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,4,4,
4,1,1,1,1,1,1,1,1],[1,7,7,8,12,8,1,6,6,6,4,4,4,4,4,4,3,2,2,4,4,4,4,4,1,1,1,1,
1,1,1,1],[1,7,7,12,4,12,1,2,2,2,6,6,6,6,6,6,16,1,3,3,4,4,4,4,4,4,1,1,1,1,1,1,
1,1],[1,7,7,12,4,12,1,2,2,2,6,6,6,6,6,6,16,1,3,3,4,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,7,7,4,12,12,1,6,6,6,6,6,6,2,2,2,16,3,3,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[
1,7,7,12,12,4,1,6,6,6,2,2,2,6,6,6,16,3,1,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,
7,4,12,12,1,6,6,6,6,6,6,2,2,2,16,3,3,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,12,
12,4,1,6,6,6,2,2,2,6,6,6,16,3,1,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,7,7,12,16,1,
8,8,8,6,6,6,4,3,4,1,1,1,1,1,1,1,1],[1,7,7,16,12,1,6,6,6,8,8,8,3,4,4,1,1,1,1,1,
1,1,1],[1,7,7,12,16,1,8,8,8,6,6,6,4,3,4,1,1,1,1,1,1,1,1],[1,7,7,16,12,1,8,8,8,
6,6,6,4,3,4,1,1,1,1,1,1,1,1],[1,7,7,12,16,1,6,6,6,8,8,8,3,4,4,1,1,1,1,1,1,1,
1],[1,7,7,16,12,1,6,6,6,8,8,8,3,4,4,1,1,1,1,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[
1,9,4,27,12,9,1,1,3,1],[1,9,4,27,12,9,1,1,3,1],[1,3,28,3,3,3,1,3,1,1,1,1,1],[
1,7,4,7,12,28,1,6,6,6,16,28,3,4,4,4,4,1,1,1,1,1,1],[1,7,4,7,12,28,1,6,6,6,16,
28,3,4,4,4,4,1,1,1,1,1,1],[1,7,4,7,12,28,1,6,6,6,16,28,3,4,4,4,4,1,1,1,1,1,
1],[1,7,7,12,36,12,1,18,18,18,6,6,6,6,6,6,48,16,16,9,3,3,4,4,4,12,12,12,4,4,4,
12,12,12,12,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,7,7,12,12,36,1,6,6,6,18,
18,18,6,6,6,16,48,16,3,9,3,12,12,12,4,4,4,4,4,4,12,12,12,12,1,3,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,1],[1,7,7,36,12,12,1,6,6,6,6,6,6,18,18,18,16,16,48,3,3,9,4,
4,4,4,4,4,12,12,12,12,12,12,12,3,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,7,7,
12,20,28,1,10,10,10,14,14,14,6,6,6,16,5,7,3,4,4,4,8,4,4,4,4,8,4,4,8,1,2,2,3,2,
1,1,3,1,1,2,2,2,1,2,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,12,20,
28,1,10,10,10,14,14,14,6,6,6,16,5,7,3,4,4,4,4,4,8,4,8,4,4,4,8,1,2,3,2,2,1,3,1,
1,1,2,2,2,1,1,2,1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,12,20,28,1,
10,10,10,14,14,14,6,6,6,16,5,7,3,4,4,4,4,4,8,4,4,8,4,4,8,1,2,2,2,3,1,1,1,3,1,
2,2,2,1,2,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,20,12,1,10,
10,10,6,6,6,14,14,14,16,5,3,7,4,4,4,4,8,4,4,4,4,8,4,8,1,3,2,2,2,3,1,1,1,2,2,2,
1,2,1,1,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,20,12,1,10,10,10,
6,6,6,14,14,14,16,5,3,7,4,4,4,4,8,4,8,4,4,4,4,8,1,2,3,2,2,1,1,3,1,2,2,2,1,1,1,
1,2,1,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,20,12,1,10,10,10,6,6,6,
14,14,14,16,5,3,7,4,4,4,4,4,8,4,4,4,8,4,8,1,2,2,3,2,1,3,1,1,2,2,2,1,2,1,1,1,1,
1,2,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,12,20,1,6,6,6,10,10,10,14,14,
14,16,3,5,7,4,4,4,4,8,4,4,4,8,4,4,8,1,3,1,1,1,3,2,2,2,2,2,1,2,1,2,1,2,1,1,1,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,12,20,1,6,6,6,10,10,10,14,14,14,16,
3,5,7,4,4,4,4,4,4,8,4,4,8,4,8,1,1,1,3,1,2,3,2,2,2,2,1,2,2,1,1,1,2,1,1,2,1,1,1,
1,2,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,28,12,20,1,6,6,6,10,10,10,14,14,14,16,3,5,7,
4,4,4,4,4,8,8,4,4,4,4,8,1,1,3,1,1,2,2,3,2,2,2,1,2,1,1,2,1,1,1,2,2,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,1,1],[1,7,7,20,12,28,1,6,6,6,14,14,14,10,10,10,16,3,7,5,4,4,4,
4,4,4,4,4,8,8,8,4,1,1,1,1,3,2,2,2,2,2,3,2,1,2,2,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,
1,1,1,1,1,1,1],[1,7,7,20,12,28,1,6,6,6,14,14,14,10,10,10,16,3,7,5,4,4,4,8,8,4,
4,4,4,4,8,4,1,1,3,1,1,2,2,2,3,2,2,2,1,1,1,1,2,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1],[1,7,7,20,12,28,1,6,6,6,14,14,14,10,10,10,16,3,7,5,4,4,4,4,4,4,8,8,4,
4,8,4,1,1,1,3,1,2,2,2,2,3,2,2,1,1,1,1,1,1,2,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1],[1,7,7,20,28,12,1,14,14,14,6,6,6,10,10,10,16,7,3,5,4,4,4,8,8,4,4,4,4,4,8,4,
1,2,2,2,1,1,2,3,2,2,3,1,1,1,1,1,2,2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,
7,7,20,28,12,1,14,14,14,6,6,6,10,10,10,16,7,3,5,4,4,4,4,4,4,4,4,8,8,8,4,1,2,2,
2,1,1,2,2,2,3,1,3,1,2,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,7,7,
20,28,12,1,14,14,14,6,6,6,10,10,10,16,7,3,5,4,4,4,4,4,4,8,8,4,4,8,4,1,2,2,2,1,
1,2,2,3,2,1,1,3,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,7,7,12,28,
20,1,14,14,14,10,10,10,6,6,6,16,7,5,3,4,4,4,4,8,4,4,8,4,4,8,4,1,1,2,2,2,2,1,3,
1,1,3,2,2,1,1,2,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,7,7,12,28,20,1,
14,14,14,10,10,10,6,6,6,16,7,5,3,4,4,4,8,4,4,4,4,4,8,8,4,1,1,2,2,2,2,1,1,3,1,
2,2,3,2,1,1,1,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,7,7,12,28,20,1,14,
14,14,10,10,10,6,6,6,16,7,5,3,4,4,4,4,8,4,4,4,8,4,8,4,1,1,2,2,2,2,1,1,1,3,2,3,
2,1,1,2,1,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,1,10,10,10,
10,10,10,10,10,10,16,5,5,5,4,4,4,4,4,4,4,4,12,4,8,8,4,4,4,1,1,1,1,2,1,1,1,2,1,
1,2,1,1,2,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,20,
20,20,1,10,10,10,10,10,10,10,10,10,16,5,5,5,4,4,4,12,4,4,8,8,4,4,4,4,4,4,4,1,
1,1,2,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,1,3,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,7,7,20,20,20,1,10,10,10,10,10,10,10,10,10,16,5,5,5,4,4,4,4,8,8,4,4,
4,12,4,4,4,4,4,1,1,1,2,1,1,1,1,1,2,1,1,2,2,1,1,1,3,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,1,10,10,10,10,10,10,10,10,10,16,5,5,
5,4,4,4,4,4,4,4,4,8,4,8,12,4,4,4,1,2,1,1,1,1,2,1,1,1,1,2,1,1,2,3,2,1,1,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,1,10,10,10,10,10,
10,10,10,10,16,5,5,5,4,4,4,8,4,4,12,8,4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,1,1,2,1,2,
1,1,1,1,1,1,1,2,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,
1,10,10,10,10,10,10,10,10,10,16,5,5,5,4,4,4,4,12,8,4,4,4,8,4,4,4,4,4,1,2,1,1,
1,2,1,1,1,1,2,1,1,2,1,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,7,7,20,20,20,1,10,10,10,10,10,10,10,10,10,16,5,5,5,4,4,4,4,8,12,4,4,4,8,
4,4,4,4,4,1,2,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,1,10,10,10,10,10,10,10,10,10,16,5,5,5,4,4,
4,4,4,4,4,4,8,4,12,8,4,4,4,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,2,3,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,20,20,20,1,10,10,10,10,10,10,10,
10,10,16,5,5,5,4,4,4,8,4,4,8,12,4,4,4,4,4,4,4,1,1,2,1,2,1,1,1,2,2,1,1,1,1,1,1,
1,1,1,1,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,12,36,12,1,18,
18,18,6,6,6,6,6,6,16,9,3,3,4,4,4,4,4,4,4,4,4,4,4,4,28,1,1,1,1,1,1,1,2,2,2,2,2,
2,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,36,12,12,1,6,6,
6,6,6,6,18,18,18,16,3,3,9,4,4,4,4,4,4,4,4,4,4,4,4,28,1,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,7,12,12,36,1,6,6,
6,18,18,18,6,6,6,16,3,9,3,4,4,4,4,4,4,4,4,4,4,4,4,28,1,2,2,2,1,1,1,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,27,3,28,27,90,3,3,3,
1,3,3,3,3,3,9,1,1,1,1,3,3,3,3,1,1],[1,7,1,7,7,8,1,7,8,1,1,1],[1,9,12,28,27,36,
12,9,9,4,1,12,9,4,3,4,1,1],[1,9,12,28,27,36,12,9,9,4,1,12,9,4,3,4,1,1],[1,9,
12,28,27,36,12,9,9,4,1,12,9,4,3,4,1,1],[1,7,7,52,36,36,1,18,18,18,18,18,18,26,
26,26,16,16,48,9,9,13,4,4,4,4,4,4,12,12,12,20,20,20,20,20,20,20,20,20,12,12,
36,3,1,1,7,7,7,3,3,3,7,7,7,5,5,5,5,5,5,3,3,3,5,5,5,5,5,5,5,5,5,3,9,3,1,1,1,1,
5,5,5,1,1,1,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,4,4,4,1,1,1,
2,2,2,2,2,2,3,3,3,2,2,2,3,3,1,3,1,3,3,4,3,4,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,3,1],[1,7,7,36,36,52,1,18,18,18,26,26,26,18,18,18,16,48,16,9,13,9,
12,12,12,4,4,4,4,4,4,20,20,20,20,20,20,20,20,20,12,36,12,1,3,1,3,3,3,7,7,7,5,
5,5,7,7,7,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,3,3,9,1,5,5,5,1,1,1,1,1,1,2,2,2,2,2,2,
3,3,3,3,3,3,2,2,2,2,2,2,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,1,1,1,3,3,3,2,2,2,2,2,2,
3,3,3,1,3,1,4,3,3,4,1,2,2,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1],[1,7,7,
36,52,36,1,26,26,26,18,18,18,18,18,18,48,16,16,13,9,9,4,4,4,12,12,12,4,4,4,20,
20,20,20,20,20,20,20,20,36,12,12,1,1,3,5,5,5,5,5,5,3,3,3,3,3,3,7,7,7,7,7,7,5,
5,5,5,5,5,5,5,5,9,3,3,1,1,1,1,1,1,1,5,5,5,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,
2,2,2,2,2,2,1,1,1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,2,3,3,3,1,1,3,3,3,3,4,4,3,3,1,1,
1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,3,1],[1,7,16,7,36,12,12,112,1,6,6,6,6,
6,6,18,18,18,16,16,48,112,3,3,9,4,4,4,4,4,4,12,12,12,12,12,12,12,16,4,4,12,3,
1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,12,12,12,3,3,3,3,3,4,4,12,1,1],[1,7,16,7,
12,12,36,112,1,6,6,6,18,18,18,6,6,6,16,48,16,112,3,9,3,12,12,12,4,4,4,4,4,4,
12,12,12,12,16,12,4,4,1,3,1,3,3,3,3,3,3,3,3,3,3,4,4,4,12,12,12,4,4,4,3,3,3,3,
3,4,12,4,1,1],[1,7,16,7,12,36,12,112,1,18,18,18,6,6,6,6,6,6,48,16,16,112,9,3,
3,4,4,4,12,12,12,4,4,4,12,12,12,12,16,4,12,4,1,1,3,3,3,3,3,3,3,3,3,3,3,12,12,
12,4,4,4,4,4,4,3,3,3,3,3,12,4,4,1,1],[1,7,7,28,64,1,14,14,14,7,28,7,8,1,1],[1,
7,7,28,64,1,14,14,14,7,28,7,8,1,1],[1,7,7,28,64,1,14,14,14,7,28,7,8,1,1],[1,
63,28,63,84,36,9,28,36,28,9,1],[1,7,7,84,84,84,1,42,42,42,42,42,42,42,42,42,
112,112,112,21,21,21,28,28,28,28,28,28,28,28,28,84,84,84,84,84,84,84,84,84,84,
84,84,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,3,3,3,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,1],[1,63,57,28,63,63,84,36,9,28,84,63,36,28,84,36,9,28,
36,28,9,9,1,1],[1,7,64,7,84,84,84,448,1,42,42,42,42,42,42,42,42,42,112,112,
112,448,21,21,21,28,28,28,28,28,28,28,28,28,84,84,84,84,84,84,84,84,84,84,84,
84,64,112,112,112,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,112,112,112,112,112,112,112,112,112,3,3,3,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,112,112,112,7,7,7,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,28,28,28,1,1],[1,7,7,84,84,84,512,1,42,42,42,42,42,42,42,42,42,112,112,112,
21,21,21,28,28,28,28,28,28,28,28,28,84,84,84,84,84,84,84,84,84,84,84,84,7,7,7,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,64,3,3,3,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,24,24,24,1,1],[1,7,64,7,84,84,84,448,512,1,42,42,42,42,42,42,42,
42,42,112,112,112,448,21,21,21,28,28,28,28,28,28,28,28,28,84,84,84,84,84,84,
84,84,84,84,84,84,512,64,112,112,112,7,7,7,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,112,112,112,112,112,
112,112,112,112,64,3,3,3,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,112,112,
112,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,64,21,21,21,28,28,28,24,24,24,1,1,1,1],[1,3591,3648,
34048,3591,43092,43092,43092,229824,306432,131328,513,21546,21546,21546,21546,
21546,21546,21546,21546,21546,57456,57456,57456,25536,25536,25536,34048,
102144,229824,131328,10773,10773,10773,14364,14364,14364,14364,14364,14364,
14364,14364,14364,43092,43092,43092,43092,43092,43092,43092,43092,43092,43092,
43092,43092,25536,25536,25536,102144,306432,96768,131328,32832,57456,57456,
57456,34048,34048,34048,34048,3591,3591,3591,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,76608,
76608,76608,131328,57456,57456,57456,57456,57456,57456,57456,57456,57456,
102144,102144,102144,102144,32832,96768,1539,1539,1539,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,25536,25536,
25536,34048,57456,57456,57456,3591,3591,3591,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,
10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,10773,34048,
32832,25536,25536,25536,10773,10773,10773,14364,14364,14364,12312,12312,12312,
3648,513,3648,513,513,513,1]],
[1,2,3,3,4,4,4,4,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,12,14,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,19,
21,24,24,24,24,27,27,27,27,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,42,48,48,48,48,48,48,
48,48,48,54,54,54,54,56,57,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
72,72,72,81,96,96,96,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
162,168,216,216,216,256,256,256,384,384,384,448,448,448,504,512,1512,1536,
3584,10752,5515776],
[252,249,248,232,249,230,229,231,63,60,107,251,239,239,239,238,238,238,237,
237,237,196,197,198,235,234,236,232,120,63,107,247,247,247,241,241,241,242,
242,242,240,240,240,221,225,226,224,228,220,222,227,223,229,231,230,236,234,
235,120,60,122,107,233,197,196,198,232,232,232,232,249,249,249,247,247,247,
247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,
247,247,247,247,247,247,247,247,192,193,194,107,196,196,196,197,197,197,198,
198,198,117,118,119,120,233,122,250,250,250,247,247,247,247,247,247,247,247,
247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,
247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,
247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,
247,236,234,235,232,196,197,198,249,249,249,247,247,247,247,247,247,247,247,
247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,247,
247,247,247,232,233,234,235,236,247,247,247,240,241,242,243,244,245,248,251,
248,251,251,251,252],
[1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,11,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,27,26,25,29,4,1,1,1,23,22,24,1,4,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,27,26,25,11,22,22,
22,23,23,23,24,24,24,27,25,26,29,12,61,1,1,1,5,5,5,5,5,5,5,5,5,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,12,12,12,12,12,12,5,5,5,5,5,5,56,57,58,28,22,23,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,195,12,193,194,192,12,12,12,201,200,199,123,124,125,246,12,246,
247,247,247,252],
[(  1, 17)(  2,431)(  3,133)(  4,147)(  5, 33)(  6,402)(  7,127)(  8, 79)
(  9,508)( 10,153)( 11,223)( 12,208)( 13,189)( 14,145)( 15, 49)( 16,251)
( 18,436)( 19,327)( 20, 63)( 21,162)( 22,476)( 23,512)( 24,233)( 25,413)
( 26,387)( 27,280)( 28,328)( 29,155)( 30,252)( 31,332)( 32,114)( 34,174)
( 35,211)( 36,311)( 37,410)( 38, 51)( 39,156)( 40,157)( 41,507)( 42, 96)
( 43, 59)( 44,229)( 45,161)( 46, 57)( 47,243)( 48,112)( 50,190)( 52,497)
( 53, 89)( 54,378)( 55,398)( 56,226)( 58,475)( 60,254)( 61,498)( 62,427)
( 64,297)( 65,340)( 66,253)( 67,381)( 68, 94)( 69,382)( 70,325)( 71,321)
( 72,100)( 73,283)( 74,284)( 75,214)( 76,130)( 77,169)( 78, 88)( 80,140)
( 81,171)( 82,390)( 83,448)( 84,224)( 85,180)( 86,319)( 87,141)( 90,338)
( 91,287)( 92,380)( 93,151)( 95,277)( 97,288)( 98,150)( 99,247)(101,349)
(102,357)(103,474)(104,421)(105,293)(106,236)(107,194)(108,152)(109,470)
(110,166)(111,386)(113,376)(115,143)(116,173)(117,199)(118,119)(120,170)
(121,317)(122,310)(123,408)(124,302)(125,453)(126,257)(128,364)(129,222)
(131,269)(132,279)(134,435)(135,237)(136,204)(137,457)(138,505)(139,469)
(142,426)(144,227)(146,372)(148,366)(149,248)(154,313)(158,282)(159,185)
(160,416)(163,428)(164,401)(165,471)(167,230)(168,249)(172,489)(175,415)
(176,304)(177,240)(178,299)(179,383)(181,487)(182,360)(183,385)(184,346)
(186,442)(187,258)(188,425)(191,371)(192,263)(193,438)(195,465)(196,369)
(197,370)(198,246)(200,260)(201,432)(202,447)(203,429)(205,440)(206,241)
(207,502)(209,513)(210,463)(212,213)(216,501)(217,417)(218,329)(219,486)
(220,478)(221,407)(225,344)(228,397)(231,406)(232,459)(234,365)(235,399)
(238,358)(239,309)(242,491)(244,395)(245,389)(250,362)(255,281)(256,367)
(259,266)(261,443)(262,460)(264,265)(267,510)(268,307)(270,294)(271,290)
(272,347)(273,337)(274,350)(275,320)(276,348)(278,361)(285,434)(286,374)
(289,391)(291,503)(292,414)(295,318)(296,341)(298,424)(300,379)(301,334)
(303,336)(305,481)(306,342)(308,477)(312,404)(314,464)(315,420)(316,411)
(322,354)(323,494)(324,396)(326,462)(330,496)(331,509)(333,466)(335,452)
(339,488)(343,394)(345,388)(351,473)(352,456)(353,418)(355,495)(356,405)
(359,384)(363,368)(373,484)(375,403)(377,422)(392,485)(393,493)(400,468)
(409,506)(412,500)(419,492)(423,504)(430,454)(433,480)(437,479)(439,449)
(441,450)(444,467)(445,499)(446,455)(451,490)(458,483)(461,472)(482,511),
(  1,270,142, 73,509,212,  9,462,479,302,339, 77,223,485, 42,313,460,287,118)
(  2,510,292,492,435,439,359, 23,451, 68,378, 64, 34,469,444,219,328,304, 54)
(  3,478,502,494,390, 62,326,311,158,336,265, 57,266,307,394,159,225,148,255)
(  4,472,316,231, 40,111,164,365,393,426,455,228,  7,463,134,242,195,504,480)
(  5,443,395,281,381,399,109,252,278, 56,496,420,440,388,182,272,110,459,403)
(  6,490,236,373, 66,267,353, 87,503,258,120,338, 48,127, 99, 36,508,428,288)
(  8,489,436,139,473, 83,464, 71,377, 53,175,476,232,429, 85, 41, 92,360,107)
( 10,458, 46,260,332,497,414,253,130, 21,337,384,192,234,309,150, 96,349,425)
( 11,296, 59, 32,481,146,187, 75, 60,423, 70,220,149, 65,499,415,320,199,498)
( 12,237, 39,235, 27,413,194,345, 47,211,343,452,341,169,293,184,209,203,166)
( 13, 44,217, 49,183,277, 51,421,416,152,322,507,434,188,249, 15, 74,279, 38)
( 14,321,310,248,133,244,456,375, 22,445,364,131,246, 97,487,350,171, 58,113)
( 16,361,438, 17,357,271,324,241,121,200,264,177,141,312, 63,407, 91, 84,315)
( 18,233,126, 20,500,422,145,383,297,176,356,396,362,334,269,400,411,454,467)
( 19, 81,441,157, 45,160,196,117, 78,333,409,491,419, 52,374,482,106,512,273)
( 24,172,289,276,283,493,263,449,210,112,355,207,325,465,506, 55,259,483, 72)
( 25,501,442,135,191,147,308,437,427, 50, 76,484,511,155,432,305,125,391, 79)
( 26,342,382,102,119,221,257,100,153,285,180,513,167,178, 43,335,268,398,466)
( 28,238,140,323,495, 90,136,505,226,251,330,138,202,181,163,213,471,206,405)
( 29,286, 31,317,165,331,348,453,114,299,116,103,284,417, 37,408,448,368,298)
( 30,295,173,230,346,197,386,450,274,447,204,170,372,201,424,143,446,294,193)
( 33,352,261,227,282,247,397,115,363,351,174,179,376, 86,214,291,240,303,144)
( 35,457,108,161,406,468,128,340,122,314,123,300,239,401,370,105,488,222,185)
( 61,369,104,132,474,318,470,156,186,215,216,280, 67,366, 93,385,168,101,392)
( 69,245,358,486,430,461,371,208,347,380,354,137,243,205,224,262,367,250,290)
( 80,389,306,329,189, 95,151,344,129,124,477,433,254,319,475,327,162,190, 82)
( 88,275, 89,412,404,418,431, 94,402,198,301,256,154, 98,379,410,229,218,387
 )],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,-3]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,2]]],[[[1,1,2,1],[3,1,1,1,2,-2,
3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,-2,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,
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1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[7,1,
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1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,
10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-2,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
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1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
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-1],[9,2,6,-1,9,-2,6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
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10,1,6,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,
-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,1,6,-1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,2,6,-1,9,-2,6,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[10,1,9,-1,6,1,9,-1,10,1,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,10,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]]],[[[1,1,2,1],[3,
1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[4,-1,
7,1,4,1,7,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,
1,2,2,6,1,5,1,2,1,6,1],[7,-2,4,-1]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,
-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[7,1,4,-1,7,-1,4,
-1,7,1,4,-1,7,-1]],[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,
1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[4,-1,7,-1,4,1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,
2,2,7,1],[5,1,8,1],[8,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[8,1,5,-1,8,-1,5,
1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,
1,5,1,2,1,6,1],[4,1,7,-1,4,1,7,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,
1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,
1],[8,-1,5,1,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[8,1,5,1,8,-1]]],[[[1,
1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,
1,2,1,6,1,2,2],[4,1,7,-1,4,-1,7,1,4,-1,7,-1]],[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,
-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[4,-1,7,1,4,
-1,7,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,
5,1,2,2,6,1,5,1,2,1,6,1],[4,1,7,-2,4,-1,7,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,2,2,4,1,3,1,2,1,4,1],[5,-2]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[4,1,3,1,5,
-1,3,1,5,1,4,1],[6,4]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,
1,3,1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[5,1,9,
1],[10,1,9,1,5,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,
3,1,2,1,3,1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[5,
2],[9,-1,5,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,
1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[5,1,9,-2,5,
-1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[5,
-3]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[9,1,6,-2,9,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,
6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,
-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1,6,-2,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,1,9,-2,6,-1,9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,
-1,9,-2,6,-1,9,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,
1,9,-2,10,-1,9,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[
10,1,6,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[10,1,9,-2,6,
-1,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,
-1,9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,
2,6,-1,9,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,
-2,10,-1,9,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,1],[6,-2,11,
-1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,
-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[10,1,11,
1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-3,6,-1,9,1,6,
-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[10,1,11,
1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,9,
-1,6,-1,9,-1,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,
6,-2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[10,
1,11,1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,
9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-2,10,1,9,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[6,1,9,1],[9,2,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,
9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-1,6,-1,9,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,
9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-1],[11,1,9,-1,
10,-1,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-2,6,
1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,
10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[10,1,9,-2,6,1,9,2,10,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2,9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,
-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,
9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,
5,-1,6,1,5,1,2,1,6,1,2,2],[4,1,7,-1,4,-1,7,-1,4,1]],[[1,1,2,-1,1,1,2,1],[3,1,
1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[4,1,7,
1,4,1,7,1]],[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,
6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[4,-1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,
1],[8,1,5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[8,1,5,-1,8,1,5,-1]],[[1,1,
2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,
7,-1,6,1,2,2,7,1],[5,-1,8,1,5,-1,8,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[
1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[4,-1,7,1,4,-1,7,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,-3]],[[1,1,2,1],[3,1,1,1,2,-2,3,
-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[7,1,4,-1,7,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[2,1,1,
1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[5,1,9,1,5,-1,9,-1,5,
-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[2,1,1,
1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[9,1,5,1,9,3]]],[[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,
1],[4,1,7,-1,4,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,3,4,-1,3,-1,4,1],[1,1,2,1],[6,1,2,
1,6,1,2,1,1,1,6,1,2,1],[5,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,
-1,4,1,2,-1],[5,5]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,
10,2],[11,1,9,1,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,
-2,9,-1,6,1,9,-1]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,
1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[7,-1,4,-1,7,1,4,1]],[[1,1,2,-1,1,1,2,
1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,
2],[7,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,
5,1,2,2,6,1,5,1,2,1,6,1],[4,1,7,-1,4,1,7,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,
-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[7,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,
-1,6,1,2,2,7,1],[5,-1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,
2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[5,1,8,1,5,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[2,1,1,
1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[9,4,5,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[5,2]]],[[[1,1,2,1],[3,1,1,1,
2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,1],[7,1,4,-1,7,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,
5,1,2,1,6,1],[4,1,7,1]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[
2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[4,-1,7,1,4,-1,7,-1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1,2,1,4,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,
-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,
1],[8,1,5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[5,1,8,1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,1],[6,-2,11,-1,10,-1,11,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[11,1,10,1,11,
-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-2,9,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,10,-1,9,-2]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-2,9,2,6,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-2,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,9,-2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,9,-2,10,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-2,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,-1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,
1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1,10,-1,6,1,9,-2,10,1]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,10,1]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,
6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-1,6,1,9,-1]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,10,1,6,-1,9,-2,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,
9,2,6,-1,10,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,-2,9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,
6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[
10,1,9,1,6,1,9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,
-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,
-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,2,6,-1,9,-2,6,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,1,9,2,6,1,10,-1]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,
9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,
9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1,6,-1,
9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
1,6,1,9,1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,
9,-1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,1,6,-2,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,
6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,
1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,-2,10,
-1]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,
5,-1,6,1,5,1,2,1,6,1,2,2],[4,-1,7,1,4,1,7,-1]],[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,
-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[7,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[5,-1,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[2,
-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,
1],[5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,-3]],[[
1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,
1,6,1],[4,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,
1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[5,1,9,-2,5,
1,9,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,6,1,10,1,9,3,10,2]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[9,2,6,1,9,1,10,-2,9,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,10,1,9,1,6,1,10,1,9,1,10,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,9,-2,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,6,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,3,6,1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,1,6,1],[9,2,10,1,9,-1,6,-1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,1],[10,2,9,2,6,1,10,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-2,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,
2],[10,1,11,1,9,1,6,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
-1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,1],[10,1,9,1,6,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[9,2],[6,1,9,1,11,1,10,2,11,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[10,1,11,1,10,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,2,9,1,6,1,9,2,10,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[6,1,9,3],[10,1,11,1,10,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,6,1,10,1,9,3,10,2]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1],[10,1,9,-1,6,-1,9,-1,6,1,9,2,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,-2]]],[[[1,1,2,-1,
1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,
1,2,2],[4,-1,7,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1,2,1,4,1,
2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,1,3,1,2,1,4,1],[5,-3]],[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,
1],[4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[5,1,8,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,
2,7,1],[8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,
1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[9,1,5,1],[9,
1,10,-1,5,1,9,1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,
1,3,1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,7,1],[9,4,5,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[2,1,1,
1],[2,2],[4,1,3,-1,1,1,2,1,4,1,3,-1]],[[2,1,1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[9,2,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[
6,1,9,3],[10,1,11,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,
9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,
-1,9,-1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,
9,1,6,1,9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,
9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,1,9,2,6,1,
10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,-1,9,1,6,-1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
1,6,1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-1],[9,1,11,-1,10,-1,11,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,10,-1,9,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[6,1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,
1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,
2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,10,1,6,1,9,
-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,-1,9,-1,6,1,9,-2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-1,6,-1,9,1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,
-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,-1,
9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,
-1],[11,1,9,-1,10,1,9,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[10,1,9,2,6,1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,9,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
1,6,1,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,2,
6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,
-1,9,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-1,9,
-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1,10,-1,6,1,9,-2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,10,-1,9,-1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,
6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1,6,-1,9,-2,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,
-1,9,-1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,
-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,-1,9,-1,6,1,9,-2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,10,1,6,-1,9,-2,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,
-2,9,-1,10,-1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,
2,6,1],[10,1,11,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1,
10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,2,9,1,
6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,
6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,
-1,10,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,
10,2,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,9,-1,6,1,9,
-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,1,9,-1,6,1,
9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,-1,9,-1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,2,6,-1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-1,6,1,9,1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,
6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,
10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,1,9,-1,
6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,2,6,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,
9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,
-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,2]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,-1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,1],[10,1,9,2,6,1,10,-1,9,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,10,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,
9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,
-1,9,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,1,6,
-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1,
6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,-1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,
9,-1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,
-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[6,-2,9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
2,6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-2,9,-1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,9,1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,-2,9,2,6,-1,9,-2,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,
9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,1,6,1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,
1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,
9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-2,9,2,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,1,9,1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,
9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1,
6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2,6,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,9,-2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,2]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,9,-2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1],[10,1,11,1,10,-1,11,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,10,-1,9,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-2,9,2,6,1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,10,-1,9,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[9,
-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
-1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,2,6,1,9,
-2]]],[[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[1,1,2,1],[2,1,1,1],[2,1,6,-1,
5,-1,6,1,5,1,2,1,6,1,2,2],[4,1,7,1]],[[1,1,2,-1,1,1,2,1],[3,1,1,1,2,-1,3,-1],[
1,1,2,1],[2,1,1,1],[2,1,6,-1,5,-1,6,1,5,1,2,1,6,1,2,2],[7,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,
-1,6,1,2,2,7,1],[5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,-1,2,1,1,1,2,-3,3,
1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,6,1,7,-1,6,1,2,2,7,1],[5,-1,8,1]]],[[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,1,2,2,6,1,5,1,2,1,6,
1],[4,-1,7,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,-1],[1,1,2,1],[2,1,1,1],[6,1,5,
1,2,2,6,1,5,1,2,1,6,1],[4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[1,1,2,-1,3,1,
5,1,4,-1,5,-1,3,1,2,2,4,-1,3,-1,4,1,5,1]],[[1,1,2,1],[2,2],[2,1,3,1],[3,1,2,
1],[2,1,1,1,4,-1,3,-1],[5,1,1,1,2,-1,7,-1,6,2,5,1,7,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,2],[11,1,9,1,6,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,9,-2,10,-1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[9,2,10,1,9,-1,6,-1,10,-1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,3],[9,1,6,1,10,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,1],[6,1,9,3],[11,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,1,9,1],[9,1,10,2],[11,1,9,1,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-1],[10,1,6,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,1],[10,1,9,1,6,-1,9,-1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,6,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[
10,1,9,2,6,-1,10,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,
-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-2,9,
2,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,9,-2,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,2,6,1,9,-1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,-1,9,1,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
-1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
1],[6,1,9,-2,10,-1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
1],[10,1,9,1,10,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,1,6,-1,
9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1],[11,1,10,1,
11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1,6,-1,9,-1,6,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-1,10,-1,9,1,10,1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,9,-2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,1,6,-2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,2,6,1,9,-2,10,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1,6,-1,9,-2,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,1,9,1],[6,-2,10,-1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,-1,6,1,9,2,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[9,2,6,1],[11,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
1],[6,-2,10,-2,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,1,9,
-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,
-1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1],[10,2,9,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,2,6,-1,9,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,
9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,2,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,
4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,
1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,-1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,
1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,
1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-1,9,
-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1,6,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,
-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,-2,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,
6,1,9,1,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,
2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,1,9,
2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,
1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-1,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,
1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[
1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,
1,9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,
1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,
1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,
6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,-1,9,-2,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,
1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2],[10,1,9,-2,6,-1,9,2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,-1,9,-1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,
-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[6,-2],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,-2,6,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,
1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,6,1,10,-1,6,1,9,-2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[9,2,10,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[6,-2,9,-1,10,-1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[6,1,9,1],[6,1,9,-2,10,-1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,
-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,
3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[
6,-2,10,-2,9,2,6,-1]]],[[[1,1,2,1],[2,2],[3,-1,1,1,2,-1,3,1,4,1,1,1,2,-1,4,-1,
3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,1,1,2,-1,3,1,5,1,4,-1,2,-1,3,-1,4,1,
5,-1]],[[1,1,2,1],[2,2],[2,1,1,1,4,-1,3,-1],[3,1,2,2,3,1,5,1,4,2,5,-1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,3,1],[3,1,5,1],[6,1,5,1,7,1,4,-1,2,-1,3,-1,6,1,1,1,
2,-1,7,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,1,6,-1,
9,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,5,-1,3,-1,1,1,2,-1,5,-1,3,1,2,1,4,1,5,
1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,4,1,3,1,5,1,2,1,1,1,5,-1,3,-1,4,1,
2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[5,1,3,1,2,1,4,1,6,2,
4,1,3,1,6,1,5,-1]],[[1,1,2,1],[2,2],[3,1,1,1,2,-1,4,-1,3,1,2,1,3,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[2,2],[2,1,3,1],[5,1,2,1,4,-1,3,1,6,2,5,1,2,1,4,1,3,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[1,1,2,-1,5,-1,3,-1,4,-1,5,-1,2,1,3,1,2,1,4,1,3,-1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,2,6,1,9,-2,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,1],[6,-2,10,-1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[9,2,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,
5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[9,2,
10,1,6,1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-2,6,-1,9,1,6,-2]],[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,
1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,-1,9,-2,6,-1,9,1,6,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,-2,6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,
5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,
1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,
1,2,-1],[6,1,9,3],[9,1,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,
1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,
9,-1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,2,9,1],[11,2,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,-1,9,-2]],[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,
7,-1,8,1,2,-1],[6,1,9,1],[9,1,10,2],[11,1,9,1,6,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,-2,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,
3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,
-1],[9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-3,6,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1],[9,1,10,2]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,
8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,
4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,
2,-1],[9,3,6,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,
1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,-1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[6,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,1,2,2,1,1,2,-1,3,1,2,1,3,1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[
7,1,6,1,8,-1,6,1,8,1,7,1],[9,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,2,1,
1,2,-1,3,1,2,1,3,1,4,1],[2,1,1,1],[1,1,2,-1],[1,1,2,3],[7,1,6,1,8,-1,6,1,8,1,
7,1],[5,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,
1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1],[10,1,9,1,
10,1,6,-1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,
1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,
1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,1,9,2,6,1,9,-2,6,-2]],[[1,1,2,1],[2,1,1,
1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,
2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-2,6,-1,9,1,6,-2]],[[1,1,2,1],[2,1,1,1],[2,2],[
2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,
8,1,2,-1],[6,-2,9,-1,6,1,9,-1,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,
2,1,1,2,-1,3,1,2,1,3,1,4,1]],[[2,1,1,1],[1,1,2,-1],[1,1,2,3],[4,1,3,1,5,-1,3,
1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,
1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,2,6,1,9,1],[10,2,9,1,
6,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,
2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[
2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[
2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,
-1,7,-1,8,1,2,-1],[6,-2,9,-2,6,-1,9,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,3,-1,4,1,2,-1],[5,3]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,
1,5,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,
1,1],[1,1,2,1],[2,1,1,1],[7,1,8,-1,2,-1,7,-1,8,1,2,-1],[9,1,6,1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,2],[2,1,4,1,3,-1,5,1,4,1,3,1,5,1,2,1,1,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-1,2,-1,3,-1,4,1,2,-1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "U3(9)",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,7],[1,8],[1,2,3,9],[1,2,4,10],[1,2,
6,11],[1,2,6,12],[1,2,5,6,13],[1,3,14],[1,4,15],[1,3,4,16],[1,3,4,17],[1,3,4,
18],[1,3,4,19],[1,4,20],[1,2,7,21],[1,2,8,22],[1,2,8,23],[1,2,7,24],[1,2,8,
25],[1,2,3,6,9,26],[1,2,4,5,27],[1,3,7,28],[1,2,5,6,12,13,29],[1,2,6,12,30],[
1,2,6,11,12,31],[1,2,3,9,14,32],[1,2,4,10,15,33],[1,2,3,4,9,10,16,34],[1,2,3,
4,9,10,19,35],[1,2,3,4,9,10,18,36],[1,2,3,4,9,10,17,37],[1,2,6,8,22,38],[1,2,
5,8,22,23,39],[1,2,5,7,21,24,40],[1,2,5,8,22,25,41],[1,2,6,7,21,42],[1,2,3,6,
9,11,43],[1,2,4,5,6,10,13,27,44],[1,7,8,45],[1,3,4,14,16,17,18,19,46],[1,3,4,
15,16,18,20,47],[1,3,4,15,17,19,20,48],[1,3,4,17,18,49],[1,3,4,16,18,19,50],[
1,3,4,16,17,19,51],[1,2,3,7,9,21,28,52],[1,2,5,6,11,12,13,29,30,31,53],[1,2,3,
6,9,14,26,32,54],[1,2,4,6,10,15,33,55],[1,2,6,7,11,21,42,56],[1,2,5,6,8,13,22,
23,25,38,39,41,57],[1,2,6,7,12,21,42,58],[1,2,5,6,7,13,21,24,40,42,59],[1,3,7,
14,28,60],[1,2,3,6,9,11,12,26,31,43,61],[1,2,7,8,21,22,23,24,45,62],[1,2,7,8,
24,25,45,63],[1,2,3,4,9,10,15,17,19,20,33,35,37,48,64],[1,2,3,4,9,10,15,16,18,
20,33,34,36,47,65],[1,2,3,4,9,10,17,18,36,37,49,66],[1,2,3,4,9,10,16,17,19,34,
35,37,51,67],[1,2,3,4,9,10,16,18,19,34,35,36,50,68],[1,2,3,4,9,10,14,16,17,18,
19,32,34,35,36,37,46,69],[1,2,3,6,7,9,21,26,28,42,52,70],[1,2,4,5,8,10,25,27,
71],[1,2,3,6,9,12,14,26,32,54,72],[1,2,4,6,10,12,15,33,55,73],[1,74],[1,4,7,8,
45,75],[1,2,5,6,7,12,13,21,24,29,40,42,58,59,76],[1,2,6,7,12,21,30,42,58,77],[
1,2,6,7,11,12,21,31,42,56,58,78],[1,3,4,14,15,16,17,18,19,20,46,47,48,79],[1,
3,4,14,16,17,18,19,46,51,80],[1,3,4,14,16,17,18,19,46,50,81],[1,3,4,14,16,17,
18,19,46,49,82],[1,2,3,7,9,14,21,28,32,52,60,83],[1,2,5,7,8,21,22,23,24,39,40,
45,62,84],[1,2,6,7,8,21,22,23,24,38,42,45,62,85],[1,2,5,7,8,21,22,23,24,25,40,
41,45,62,63,86],[1,2,3,4,6,9,10,15,16,18,20,26,33,34,36,47,55,65,87],[1,2,3,4,
6,9,10,15,17,19,20,26,33,35,37,48,55,64,88],[1,2,3,6,8,9,11,22,26,38,43,89],[
1,2,3,6,7,9,11,21,28,42,43,52,56,90],[1,2,3,6,9,12,14,26,30,32,54,72,91],[1,2,
4,7,8,10,24,25,45,63,75,92],[1,2,5,6,7,11,12,13,21,24,29,30,31,40,42,53,56,58,
59,76,77,78,93],[1,2,3,4,9,10,14,15,16,17,18,19,20,32,33,34,35,36,37,46,47,48,
64,65,69,79,94],[1,2,3,4,9,10,14,16,17,18,19,32,34,35,36,37,46,51,67,69,80,
95],[1,2,3,4,9,10,14,16,17,18,19,32,34,35,36,37,46,50,68,69,81,96],[1,2,3,4,9,
10,14,16,17,18,19,32,34,35,36,37,46,49,66,69,82,97],[1,2,3,6,7,9,14,21,26,28,
32,42,52,54,60,70,83,98],[1,2,5,6,7,8,13,21,22,23,24,25,38,39,40,41,42,45,57,
59,62,63,84,85,86,99],[1,4,74,100],[1,2,3,6,7,9,11,12,21,26,28,31,42,43,52,56,
58,61,70,78,90,101],[1,3,4,14,15,16,17,18,19,20,46,47,48,49,50,51,79,80,81,82,
102],[1,2,4,5,7,8,21,22,23,24,27,39,40,45,62,75,84,103],[1,2,3,4,6,9,10,14,15,
16,17,18,19,20,26,32,33,34,35,36,37,46,47,48,54,55,64,65,69,79,87,88,94,104],[
1,2,3,6,7,9,12,14,21,26,28,32,42,52,54,58,60,70,72,83,98,105],[1,2,4,5,6,8,10,
13,15,25,27,33,44,55,71,106],[1,2,3,4,9,10,14,15,16,17,18,19,20,32,33,34,35,
36,37,46,47,48,49,50,51,64,65,66,67,68,69,79,80,81,82,94,95,96,97,102,107],[1,
2,3,6,7,8,9,11,21,22,23,24,26,28,38,42,43,45,52,56,62,70,85,89,90,108],[1,2,4,
5,6,7,8,10,13,21,22,23,24,25,27,38,39,40,41,42,44,45,57,59,62,63,75,84,85,86,
92,99,103,109],[1,2,3,4,6,9,10,12,14,15,16,17,18,19,20,26,32,33,34,35,36,37,
46,47,48,54,55,64,65,69,72,73,79,87,88,94,104,110],[1,2,3,6,8,9,11,12,14,22,
26,31,32,38,43,54,61,72,89,111],[1,2,3,6,7,9,12,14,21,26,28,30,32,42,52,54,58,
60,70,72,77,83,91,98,105,112],[1,2,4,5,6,8,10,12,13,15,22,25,27,29,33,41,44,
55,71,73,106,113],[1,3,4,14,15,16,17,18,19,20,46,47,48,49,50,51,79,80,81,82,
102,114],[1,2,3,5,6,8,9,11,12,13,14,22,23,25,26,29,30,31,32,38,39,41,43,53,54,
57,61,72,89,91,111,115],[1,2,3,4,9,10,14,15,16,17,18,19,20,32,33,34,35,36,37,
46,47,48,49,50,51,64,65,66,67,68,69,79,80,81,82,94,95,96,97,102,107,114,116],[
1,2,3,4,6,9,10,14,15,16,17,18,19,20,26,32,33,34,35,36,37,46,47,48,49,50,51,54,
55,64,65,66,67,68,69,79,80,81,82,87,88,94,95,96,97,102,104,107,114,116,117],[
1,2,3,6,7,8,9,11,12,14,21,22,23,24,26,28,31,32,38,42,43,45,52,54,56,58,60,61,
62,70,72,78,83,85,89,90,98,101,105,108,111,118],[1,3,4,7,14,15,16,17,18,19,20,
28,46,47,48,49,50,51,60,79,80,81,82,102,114,119],[1,2,3,4,6,9,10,12,14,15,16,
17,18,19,20,26,32,33,34,35,36,37,46,47,48,49,50,51,54,55,64,65,66,67,68,69,72,
73,79,80,81,82,87,88,94,95,96,97,102,104,107,110,114,116,117,120],[1,2,3,5,6,
7,8,9,11,12,13,14,21,22,23,24,25,26,28,29,30,31,32,38,39,40,41,42,43,45,52,53,
54,56,57,58,59,60,61,62,63,70,72,76,77,78,83,84,85,86,89,90,91,93,98,99,101,
105,108,111,112,115,118,121],[1,2,3,4,7,9,10,14,15,16,17,18,19,20,21,28,32,33,
34,35,36,37,46,47,48,49,50,51,52,60,64,65,66,67,68,69,79,80,81,82,83,94,95,96,
97,102,107,114,116,119,122],[1,2,3,4,6,9,10,12,14,15,16,17,18,19,20,26,30,32,
33,34,35,36,37,46,47,48,49,50,51,54,55,64,65,66,67,68,69,72,73,79,80,81,82,87,
88,91,94,95,96,97,102,104,107,110,114,116,117,120,123],[1,2,3,4,6,7,9,10,14,
15,16,17,18,19,20,21,26,28,32,33,34,35,36,37,42,46,47,48,49,50,51,52,54,55,60,
64,65,66,67,68,69,70,79,80,81,82,83,87,88,94,95,96,97,98,102,104,107,114,116,
117,119,122,124],[1,2,3,4,6,7,9,10,12,14,15,16,17,18,19,20,21,26,28,32,33,34,
35,36,37,42,46,47,48,49,50,51,52,54,55,58,60,64,65,66,67,68,69,70,72,73,79,80,
81,82,83,87,88,94,95,96,97,98,102,104,105,107,110,114,116,117,119,120,122,124,
125],[1,2,3,4,6,7,9,10,12,14,15,16,17,18,19,20,21,26,28,30,32,33,34,35,36,37,
42,46,47,48,49,50,51,52,54,55,58,60,64,65,66,67,68,69,70,72,73,77,79,80,81,82,
83,87,88,91,94,95,96,97,98,102,104,105,107,110,112,114,116,117,119,120,122,
123,124,125,126],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,1,
3,1],[1,1,1,1],[1,5,2,1,1],[1,4,1],[1,4,1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,
3,1],[1,4,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,3,1,1],[
1,3,4,1,1],[1,1,1,1],[1,9,4,1,1,2,1],[1,1,1,1,1],[1,1,5,2,1,1],[1,1,4,4,1,1],[
1,9,4,12,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,3,1,1,1],[1,3,1,3,
3,1,1,1],[1,1,5,1,1,1],[1,3,1,1,1,2,1],[1,3,1,1,1,2,1],[1,11,5,1,1,2,1],[1,1,
1,1,1,1],[1,1,4,3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,3,3,1],[1,4,9,1,3,3,3,3,1],[1,
1,12,1,2,2,8,1],[1,1,12,1,2,2,8,1],[1,1,12,2,2,1],[1,1,12,2,1,1,1],[1,1,12,1,
1,2,1],[1,1,1,1,1,1,1,1],[1,9,4,5,2,1,2,1,1,1,1],[1,1,4,9,4,1,12,1,1],[1,9,4,
9,12,1,1,1],[1,1,3,1,1,1,3,1],[1,13,6,5,1,5,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[
1,5,2,1,1,1,1,4,2,1,1],[1,4,1,1,4,1],[1,1,4,9,4,4,3,4,3,1,1],[1,1,3,3,1,1,2,2,
1,1],[1,5,3,3,5,1,1,1],[1,9,1,12,9,12,1,2,2,8,1,6,6,1,1],[1,9,1,12,9,12,1,2,2,
8,1,6,6,1,1],[1,9,1,12,9,12,2,2,6,6,1,1],[1,9,1,12,9,12,1,1,2,3,6,3,1,1],[1,9,
1,12,9,12,2,1,1,6,3,3,1,1],[1,3,4,9,12,1,1,3,3,3,3,3,1,1,1,1,1,1],[1,1,1,3,1,
1,1,1,1,3,1,1],[1,15,10,5,6,10,6,5,1],[1,1,4,9,4,9,1,12,1,1,1],[1,9,4,9,12,9,
1,1,1,1],[1,1],[1,25,3,3,1,1],[1,9,4,1,1,1,2,1,8,1,4,1,1,2,1],[1,1,1,1,1,1,1,
1,1,1],[1,1,5,1,2,1,1,1,5,2,1,1],[1,4,36,1,9,12,12,12,12,72,4,18,18,1],[1,4,
36,1,12,12,12,12,4,9,1],[1,4,36,1,12,12,12,12,4,9,1],[1,4,36,1,12,12,12,12,4,
9,1],[1,1,4,1,4,1,1,4,1,4,1,1],[1,3,1,3,3,3,3,6,6,3,3,1,3,1],[1,1,5,3,3,1,1,2,
2,1,5,1,1,1],[1,11,5,3,3,1,1,2,12,2,5,1,1,1,2,1],[1,9,1,12,27,9,12,1,2,2,8,9,
1,6,6,1,3,1,1],[1,9,1,12,27,9,12,1,2,2,8,9,1,6,6,1,3,1,1],[1,1,10,15,6,10,5,6,
10,6,5,1],[1,1,4,3,1,4,1,1,4,3,1,4,1,1],[1,1,4,9,4,9,1,12,9,1,1,1,1],[1,15,25,
3,3,25,15,3,1,3,1,1],[1,9,4,5,1,2,1,2,1,8,1,1,1,4,5,1,2,1,2,1,1,1,1],[1,9,4,
36,36,12,1,9,12,12,12,12,72,9,1,12,12,12,12,4,18,18,2,2,12,1,1],[1,9,4,36,36,
12,1,12,12,12,12,9,12,12,12,12,4,9,1,12,1,1],[1,9,4,36,36,12,1,12,12,12,12,9,
12,12,12,12,4,9,1,12,1,1],[1,9,4,36,36,12,1,12,12,12,12,9,12,12,12,12,4,9,1,
12,1,1],[1,1,4,9,1,4,1,1,12,4,1,9,4,1,1,12,1,1],[1,13,6,5,3,3,5,3,3,6,16,2,1,
3,8,1,5,1,1,5,3,2,1,1,1,1],[1,73,1,1],[1,1,4,9,1,4,4,3,1,4,4,3,9,1,4,4,3,1,4,
3,1,1],[1,4,117,1,9,39,39,39,39,72,13,18,18,36,36,36,1,4,4,4,1],[1,3,100,1,3,
3,3,3,6,6,25,3,3,1,3,4,1,1],[1,9,4,36,81,36,12,1,9,12,12,12,12,72,108,9,1,12,
12,12,12,4,18,18,9,9,2,2,12,1,6,6,1,1],[1,1,4,9,1,4,9,1,1,12,4,1,9,4,1,9,1,12,
1,1,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,27,4,117,108,117,
1,9,39,39,39,39,72,27,3,117,117,117,117,13,18,18,36,36,36,6,6,12,12,12,117,1,
4,4,4,3,12,12,12,1,1],[1,1,10,15,13,18,10,5,1,6,12,12,10,10,6,15,5,6,10,5,6,
10,6,1,5,1],[1,33,100,16,15,3,3,100,15,3,3,6,36,6,25,3,3,18,3,15,25,1,3,15,3,
6,4,1,3,3,4,3,1,1],[1,9,4,36,81,36,12,81,1,9,12,12,12,12,72,108,9,1,12,12,12,
12,4,18,18,9,9,2,2,12,9,9,1,6,6,1,1,1],[1,1,40,45,36,40,30,45,10,36,120,45,10,
36,30,10,30,10,12,1],[1,1,4,9,1,4,9,1,1,12,4,9,1,9,4,1,9,1,12,1,9,1,1,1,1,1],[
1,81,40,120,45,36,120,45,90,10,36,72,30,45,10,36,30,10,12,10,1,1],[1,4,360,1,
90,120,120,120,120,720,40,180,180,360,360,360,10,40,40,40,40,1],[1,73,40,36,
45,36,40,30,45,90,10,36,72,72,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,
10,1,1],[1,81,4,360,324,1080,1,90,120,120,120,120,720,81,90,1080,1080,1080,
1080,40,180,180,360,360,360,180,180,360,360,360,1080,10,40,40,40,90,360,360,
360,40,120,1,1],[1,81,4,360,729,324,1080,1,90,120,120,120,120,720,972,81,90,
1080,1080,1080,1080,40,180,180,360,360,360,81,810,180,180,360,360,360,1080,10,
40,40,40,540,540,90,360,360,360,40,90,120,1,1,1],[1,1,40,45,73,108,40,30,45,
10,1,36,72,72,120,40,45,10,36,45,30,36,40,10,30,45,10,30,36,120,10,45,10,36,
12,30,10,30,10,12,1,1],[1,4,360,81,1,90,120,120,120,120,720,324,40,180,180,
360,360,360,81,10,40,40,40,40,1,1],[1,81,4,360,729,324,1080,729,1,90,120,120,
120,120,720,972,81,90,1080,1080,1080,1080,40,180,180,360,360,360,81,810,180,
180,360,360,360,1080,81,810,10,40,40,40,540,540,90,360,360,360,40,90,120,90,1,
1,1,1],[1,73,40,36,45,73,108,40,30,45,90,10,73,108,216,216,72,120,40,45,45,45,
10,36,108,108,36,45,30,36,40,45,10,30,36,45,90,10,30,108,72,120,10,45,45,45,
10,36,36,36,12,30,10,45,10,36,30,10,12,1,10,1,1,1],[1,81,4,360,81,324,1080,1,
90,120,120,120,120,720,81,324,81,90,1080,1080,1080,1080,40,180,180,360,360,
360,324,81,180,180,360,360,360,1080,10,40,40,40,81,90,360,360,360,40,120,1,1,
1,1],[1,81,4,360,729,324,1080,729,1,90,120,120,120,120,720,972,729,81,90,1080,
1080,1080,1080,40,180,180,360,360,360,81,810,180,180,360,360,360,1080,81,810,
10,40,40,40,540,540,81,90,360,360,360,40,90,120,90,1,1,1,1,1],[1,81,4,360,729,
81,324,1080,1,90,120,120,120,120,720,81,972,324,81,90,1080,1080,1080,1080,729,
40,180,180,360,360,360,324,81,810,81,180,180,360,360,360,1080,972,10,40,40,40,
81,540,540,90,360,360,360,81,40,90,120,1,1,1,1,1,1],[1,81,4,360,729,81,324,
1080,729,1,90,120,120,120,120,720,81,972,324,81,90,1080,1080,1080,1080,729,40,
180,180,360,360,360,324,81,810,729,81,180,180,360,360,360,1080,972,81,810,10,
40,40,40,81,540,540,90,360,360,360,81,40,90,81,120,90,1,1,1,1,1,1,1,1],[1,81,
4,360,729,81,324,1080,729,1,90,120,120,120,120,720,81,972,324,729,81,90,1080,
1080,1080,1080,729,40,180,180,360,360,360,324,81,810,729,81,180,180,360,360,
360,1080,972,81,810,729,10,40,40,40,81,540,540,81,90,360,360,360,81,40,90,81,
120,90,81,1,1,1,1,1,1,1,1,1,1],[1,5913,2920,262800,70956,266085,5913,212868,
236520,788400,177390,266085,532170,730,65700,87600,87600,87600,87600,525600,
5913,212868,425736,425736,425736,709560,1773900,236520,266085,266085,266085,
59130,65700,788400,788400,788400,788400,212868,212868,212868,212868,266085,
177390,1773900,70956,29200,131400,131400,262800,262800,262800,236520,266085,
59130,591300,177390,212868,266085,532170,59130,177390,212868,425736,131400,
131400,262800,262800,262800,788400,709560,709560,59130,591300,194400,283824,
266085,266085,266085,7300,29200,29200,29200,59130,70956,212868,212868,394200,
394200,70956,177390,59130,283824,266085,65700,262800,262800,262800,59130,
212868,194400,177390,29200,70956,65700,59130,59130,87600,70956,70956,65700,
5913,59130,59130,730,5913,730,730,5913,730,730,5913,730,730,730,730,730,1]],
[1,2,3,3,4,4,5,5,6,6,8,8,8,9,9,9,9,9,9,9,10,10,10,10,10,12,12,15,16,16,16,18,
18,18,18,18,18,20,20,20,20,20,24,24,25,27,27,27,27,27,27,30,32,36,36,40,40,40,
40,45,48,50,50,54,54,54,54,54,54,60,60,72,72,73,75,80,80,80,81,81,81,81,90,
100,100,100,108,108,120,120,144,150,160,162,162,162,162,180,200,219,240,243,
300,324,360,360,486,600,600,648,720,720,720,729,1440,1458,2916,3600,3645,5832,
7200,7290,11664,14580,29160,58320,42573600],
[127,121,124,94,109,93,121,99,98,69,101,93,76,126,110,107,107,107,107,79,121,
99,84,84,86,70,44,98,93,93,93,112,110,69,69,69,69,99,99,99,99,93,101,44,109,
116,104,104,97,96,95,98,93,112,73,101,99,93,76,112,101,99,86,104,104,97,95,96,
69,70,71,112,73,100,92,93,93,93,120,116,116,116,112,109,99,99,87,88,108,101,
112,92,93,110,95,96,97,112,99,100,101,116,109,110,112,113,107,108,109,110,121,
112,113,126,121,126,126,121,126,126,121,126,126,126,126,126,127],
[1,1,1,1,1,1,1,1,1,4,2,1,2,1,1,1,1,1,1,1,1,1,1,1,8,3,5,1,6,1,6,1,15,4,4,4,4,8,
1,1,8,1,11,27,1,1,1,1,3,3,3,1,12,14,15,2,22,1,2,1,43,1,8,15,15,49,51,50,4,3,
71,14,15,1,45,6,1,6,1,3,3,3,1,1,8,8,47,48,89,11,14,75,12,15,51,50,49,14,22,74,
43,14,84,79,14,106,102,89,103,79,111,14,106,14,111,114,114,111,114,114,111,
114,114,114,114,114,127],
[(  1,646)(  2,180)(  3,626)(  4,294)(  5,583)(  6, 56)(  7,413)(  8,302)
(  9,251)( 10,174)( 11,601)( 12,634)( 13, 42)( 14,330)( 15,718)( 16,149)
( 17,478)( 18,431)( 19,272)( 20,499)( 21,600)( 22,105)( 23,181)( 24,242)
( 25,504)( 26,667)( 27,527)( 28,249)( 29,613)( 30,502)( 31,498)( 32,631)
( 33,493)( 34,191)( 35,554)( 36,371)( 37,716)( 38,197)( 39,231)( 40,418)
( 41,538)( 43,485)( 44,245)( 45, 52)( 46,367)( 47,512)( 48,132)( 49,482)
( 50,484)( 51,550)( 53,342)( 54, 84)( 55,620)( 57,729)( 58,610)( 59,349)
( 60,682)( 61,403)( 62,321)( 63,203)( 64,282)( 65,310)( 66,654)( 67,623)
( 68,593)( 69,270)( 70,656)( 71,134)( 72,216)( 73,166)( 74,260)( 75,253)
( 76,311)( 77,399)( 78,404)( 79,474)( 80,629)( 81,728)( 82,259)( 83,717)
( 85,643)( 86,423)( 87,470)( 88,506)( 89,543)( 90,237)( 91,541)( 92,730)
( 93,309)( 94,298)( 95,133)( 96,564)( 98,120)( 99,214)(100,348)(101,497)
(102,185)(103,614)(104,187)(106,638)(107,250)(108,109)(110,535)(111,635)
(112,724)(113,698)(114,244)(115,428)(116,261)(117,612)(118,228)(119,202)
(121,599)(122,402)(123,468)(125,193)(126,327)(127,421)(128,514)(129,255)
(130,277)(131,186)(135,517)(136,450)(137,177)(138,276)(139,444)(140,503)
(141,172)(142,436)(143,686)(144,297)(145,642)(146,235)(147,448)(148,344)
(150,567)(151,608)(152,173)(153,422)(154,633)(155,254)(156,617)(157,437)
(158,295)(159,358)(160,605)(161,602)(162,540)(163,515)(164,273)(165,401)
(167,176)(168,566)(169,333)(170,271)(171,264)(175,238)(178,464)(179,240)
(182,315)(183,320)(184,520)(188,703)(189,266)(190,412)(192,580)(194,611)
(195,209)(196,651)(198,569)(199,590)(200,694)(201,584)(204,430)(205,323)
(206,212)(207,291)(208,239)(210,318)(211,479)(213,219)(215,453)(217,366)
(218,570)(220,340)(221,542)(222,508)(223,465)(224,705)(225,509)(226,572)
(227,619)(229,668)(230,372)(232,457)(234,463)(236,526)(241,632)(243,410)
(246,657)(247,290)(248,434)(252,339)(256,549)(257,390)(258,704)(262,556)
(263,518)(265,708)(267,377)(268,598)(269,350)(274,369)(275,536)(278,505)
(279,557)(280,405)(281,714)(283,288)(284,591)(285,381)(286,317)(287,316)
(292,449)(293,440)(296,305)(299,346)(300,662)(301,469)(303,524)(304,446)
(306,596)(307,622)(308,458)(312,640)(313,723)(314,523)(319,363)(322,376)
(324,677)(325,712)(326,636)(328,665)(329,565)(331,586)(332,480)(334,639)
(335,676)(336,666)(337,553)(338,546)(341,573)(343,483)(345,476)(347,389)
(351,653)(352,699)(353,587)(354,454)(355,574)(356,442)(357,490)(359,472)
(360,558)(361,607)(362,544)(364,530)(365,419)(368,618)(373,594)(374,597)
(375,494)(378,398)(379,648)(380,400)(382,579)(383,432)(384,461)(385,621)
(386,713)(387,604)(388,414)(391,691)(392,603)(393,719)(394,650)(395,433)
(396,711)(397,624)(407,447)(409,451)(411,630)(415,560)(416,588)(417,672)
(420,637)(424,680)(425,525)(426,609)(427,701)(429,539)(435,582)(438,660)
(439,531)(441,571)(443,529)(445,595)(452,455)(456,644)(459,496)(460,685)
(462,562)(466,576)(467,695)(471,547)(473,489)(475,491)(477,652)(481,537)
(486,492)(487,507)(488,675)(495,707)(501,645)(510,663)(511,575)(513,592)
(516,706)(519,669)(521,715)(522,671)(528,689)(532,661)(533,561)(534,722)
(545,548)(551,552)(555,615)(559,568)(563,720)(577,659)(578,641)(581,692)
(585,627)(589,726)(606,687)(616,647)(625,709)(628,725)(649,727)(655,688)
(658,678)(664,674)(673,697)(679,710)(681,702)(683,721)(684,690)(693,696),
(  1,365,309,516,389)(  2,189,630,445,617)(  3,162,508,374,296)
(  4,417,539,335,209)(  5,531,206,480,659)(  6, 68,380,504,147)
(  7,327,712,299, 82)(  8,191,193,276,207)(  9,406, 11,524,490)
( 10,104,432,239,592)( 12,216,371,512,128)( 13,468,375,126,310)
( 14,471,401,220,540)( 15, 55,510,343,252)( 16,392, 67,300,235)
( 17,597,151,238,218)( 18,267, 61,394,336)( 19,354,412,130,684)
( 20,131,580,697, 37)( 21,275,316,125,115)( 22, 33,232,595,332)
( 23,228,350,553,443)( 24,583, 60,214,149)( 25,240,169, 72,650)
( 26,183,381,565,625)( 27, 32,431,180,185)( 28,730,325,298, 38)
( 29,492,463,528,603)( 30,551,205,472,683)( 31,122,547,707,367)
( 34,213,351,308,341)( 35,629,673,685,559)( 36,555,282,249,302)
( 39,691,295,181,609)( 40,329,695,657,680)( 41,477,210,462, 83)
( 42,164,722,517,160)( 43,447,409,139,449)( 44, 91,408,157,250)
( 45,543,339,225,465)( 46,638, 95,152,690)( 47,222,201,215,647)
( 48,113,108,384, 49)( 50,729, 76,170,716)( 51,692,587,717,643)
( 52,317,415,196,373)( 53,120,479,459,150)( 54,269,145,200,390)
( 56,677,182, 66,550)( 57,641,435,611,518)( 58,204,542,619,422)
( 59,372,522,103,359)( 62,605, 93, 71,441)( 63,237,166,287,720)
( 64,368,634,197,466)( 65,138,728,604,645)( 69, 98,288,229,474)
( 70,699,177,639,584)( 73,278, 75,101,589)( 74, 99,544,493,141)
( 77,319,556,173,247)( 78,498,426,534,230)( 79, 89,444,129,538)
( 80,326,560,724,476)( 81,576,693,563,388)( 84,564,114,363,541)
( 85,366,451,606,236)( 86,706,199,646,333)( 87, 92,624,134,509)
( 88,602,526,572,442)( 90,535,713,725,664)( 94,596,420,675,496)
( 96,545,167,571,653)( 97,579,245,424,648)(100,400,513,637,687)
(102,355,305,353,689)(105,246,280,636,723)(106,226,136,702,668)
(107,313,217,519,433)(109,714,718,253,715)(110,655,395,721,601)
(111,303,234,257,484)(112,241,360,726,142)(116,324,315,548,195)
(117,581,119,464,421)(118,337,378,620,425)(121,176,453,346,393)
(123,711,312,124,413)(127,652,616,567,186)(132,569,377,259,575)
(133,486,416,293,566)(135,488,501,494,558)(137,146,231,549,546)
(140,322,681,383,523)(143,244,306,511,585)(144,187,708,506,500)
(148,505,439,233,403)(153,578,411,469,679)(154,599,698,615,211)
(155,342,396,622,552)(156,348,682,458,438)(158,178,272,710,429)
(159,274,292,399,640)(161,224,427,709,669)(163,591,515,192,323)
(165,590,419,391,557)(168,194,379,665,437)(171,499,418,356,487)
(172,627,188,266,352)(174,475,610,264,700)(175,478,704,651,642)
(179,561,387,703,223)(184,261,283,577,621)(190,345,321,243,203)
(198,311,265,678,507)(202,301,242,330,532)(208,263,277,598,402)
(212,495,446,470,536)(219,331,290,455,251)(221,502,520,674,588)
(227,385,398,570,727)(248,262,284,503,279)(254,666,633,663,405)
(255,672,562,473,671)(256,386,533,667,460)(258,320,357,286,662)
(260,482,297,410,670)(268,631,440,586,334)(270,467,294,530,573)
(271,694,362,485,654)(273,489,481,430,686)(281,614,574,623,676)
(285,607,688,358,364)(289,361,628,452,344)(291,632,407,554,349)
(304,454,660,457,613)(307,701,397,658,340)(314,582,369,656,527)
(318,514,600,635,521)(328,719,529,608,644)(338,434,626,423,347)
(370,450,568,618,696)(376,428,593,649,382)(404,448,436,456,414)
(461,594,612,497,537)(483,491,705,525,661)],
[[[[]]],[[[2,2],[3,1,2,1,1,1,3,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,
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1],[7,1,8,1,4,1,6,-1,8,-1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,
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-1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,
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1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,8,1],[8,1,5,1],[8,1,10,1,9,-1,10,1,8,1,
9,1,10,-1,5,1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1],[4,20],[1,1,2,1],[
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3,1],[4,20],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,8,1],[8,1,5,1],[10,1,
9,-2,10,1,9,-2,8,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,
1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,3,9,1,10,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,
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3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,1,9,
-1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,
5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,1,9,1],[10,1,6,-2,9,1,
10,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-4]],[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,1,
6,1,9,1,6,-2,9,-1,6,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[
1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,1,9,-1,10,1,9,1,10,
2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,
1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,-1,10,-1,9,1,10,1]]],[[[1,1,2,1],[2,2,3,1,
1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,1],[7,1,8,1,7,2,5,1,8,
-1]],[[1,1,2,1,1,1,2,-2],[3,4],[4,5]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,
1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,6,-1,4,1,6,-1,7,2]],[[2,2],[3,1,
2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1],[7,1,6,-1,
4,1,7,1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,
-1,2,-1],[4,1,6,1],[6,1,4,1],[8,1,7,-2,6,1,8,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,
1,2,1,3,-1,2,-1],[4,-5]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,
1,1,2,1,5,-1,2,-1],[4,1,6,1],[7,2,6,1,4,1,6,-1,7,-2]],[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1,6,-1]]],[[[1,1,2,1,1,
1,2,-2],[3,4],[4,3]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,
2,1,5,-1,2,-1],[4,1,6,1],[7,2,6,1,4,1,6,1,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,
1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,7,-1,6,1,4,1,6,-1,7,
1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[7,2,
5,1,7,-2,5,1,7,1,5,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,
2,-2],[6,4],[5,1,7,1],[8,1,7,1,8,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,
4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,-4,5,1]],[[1,1,2,1,1,1,2,-2],[3,4],[4,
4]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[
7,1,6,1,7,1,2,-1,6,1],[5,-1],[8,1,5,-1,8,-1],[9,1,10,1,9,-1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,
-1,6,1],[5,-1,8,-2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,
-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,-2,5,-1,8,2,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,
-1],[7,1,6,1,7,1,2,-1,6,1],[5,1,8,1],[9,1,8,1,5,-1,9,-1,8,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,
1],[8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,
1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,1,8,-1,5,1,8,1,5,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,
1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,
2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,-1,8,-1],[
9,1,5,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,
1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1],[9,1,8,-1,5,-1,8,-1,9,1,8,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,
-1,6,1],[5,-1,8,2,5,-1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,
-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,-2,5,1,8,2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,
6,1],[5,-1,8,-2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[
1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,
1],[5,-1],[9,1,8,-1,5,1,8,-1,5,1,8,2,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,
2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,1,5,-1,8,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[7,1,6,2,7,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,
1,2,1,5,-1,2,-1],[4,1,6,1],[7,1,4,1,7,-1,6,1,4,1,6,-1]],[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,-1,4,1,6,1]]],[[[2,2],[3,1,
2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1],[4,1,6,-1,
7,-3,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,
-1],[4,1,6,1],[7,3,6,1,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,
-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,7,-1,6,1,4,1,6,-1,7,1]]],[[[1,1,2,1],[3,
2,1,1,2,-1,1,1,2,-1,3,1],[4,20],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,
8,1],[8,1,5,1],[9,1,5,1,10,3,9,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[6,1,4,1],[7,1,8,-1,6,-1,8,-1,7,-1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[
2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[6,1,7,2,4,1,6,-2,7,
1]]],[[[1,1,2,1,1,1,2,-2],[3,4],[4,5]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,
4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,1],[8,1,7,1,8,1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1,6,2,4,1,6,1]]],[[[2,
2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[6,
1,4,1],[6,1,7,1,8,-2,4,1,7,-1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,
5,-1,1,1,2,1,5,-1,2,-1],[6,-1,4,1,6,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[
1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[6,1,4,1,7,-3,6,-1]],[[2,2],[3,1,2,
1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1,4,1,6,
-2]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[7,1,6,1,4,1,6,-1,4,1,6,-2,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[
1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[6,3,7,2]]],[[[1,1,2,1],[2,2,3,1,1,
1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,4,5,1]],[[1,1,2,1,1,1,2,
-2],[3,4],[4,2]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,
5,-1,2,-1],[4,1,6,1],[6,1,7,1],[8,1,7,2,8,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,
1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,-1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,
1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,
-2,8,-1],[6,2],[10,1,9,1,6,1,9,1,10,-1,6,-1,9,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,
2],[10,1,9,1,10,2,9,-1,10,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,
5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,-1,6,-1,9,-1,6,1,9,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-3,9,-1,10,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[9,1,6,1],[10,2,9,-1,6,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,
1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,1,9,1],[10,1,6,
-2,9,1,10,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[
2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,2,9,1,10,2]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[9,1,6,1,9,-1,6,-1,9,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[
5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2,9,1,6,-1,9,-1,6,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,2,9,1,10,1,9,-1,10,1]],[[1,1,2,1],[
1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,
7,-2,8,-1],[9,-1,6,-1,9,-1,6,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,
1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,1,9,-1,10,
3,9,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-2,9,1,10,2]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,
-1],[9,1,6,-1,9,1,6,1,9,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,
5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-3,9,-1,10,
-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[6,1,9,-1,10,1,9,-1,6,-1,9,-1,10,-1]],[[
1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,
8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-3,9,-1,10,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,
2],[10,3,9,-1,10,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,
2,1,5,-1,2,-1],[6,2],[7,1,6,1,4,1,7,1,4,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,
1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,7,-1,6,1,4,1,6,-1,7,
1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1],[4,20],[1,1,2,1],[2,1,1,1],[2,2,
6,1,7,-2,6,-1],[8,1,5,1],[5,1,8,1,5,1,9,1,8,1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,
1,1,2,-1,3,1],[4,20],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,8,-1,5,1,8,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[6,2,7,2,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,
2,1,5,-1,2,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1],[
4,20],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,8,-1,5,1,8,1],[9,1,5,1,8,
-1,9,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[4,1,3,1,2,1,3,1,5,1,3,2,4,-1,5,1],[1,1,2,1],[1,1,2,-1],[8,1,2,-1,7,1,
1,1,2,-1,7,-1,2,-1,7,-1,8,-1],[6,1,9,2,6,-1,9,-1]]],[[[1,1,2,1,1,1,2,-2],[3,
4],[4,4]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[
5,1,7,1,5,1,7,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,
1,5,-1,2,-1],[4,1,6,1],[4,1,6,-2,7,1,4,1,6,-1,7,-1]],[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,-1,4,1,6,1]]],[[[2,2],[3,1,
2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[7,1,6,2,7,
1,6,1,4,1,6,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,
5,-1,2,-1],[4,1,6,1],[6,1,7,2,4,1,6,-2,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,
1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[7,1,4,1,6,1,4,1,6,1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,
7,1,2,-1,6,1],[5,1,8,2,5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,
4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,1,8,-1,5,-1,8,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,
2,-1,6,1],[8,2,5,1,8,-2,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,
-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,-1,5,1,8,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,
2,-1,6,1],[5,-1,8,-1,5,1,8,-1,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,
-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,-1,8,1,5,-1,
8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,
-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,1,8,1,5,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,
-2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,
2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1],[9,1,8,1,
5,1,8,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,
1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,2,5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,1,8,
-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,
2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,1,8,-1,5,-1,8,1,5,1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[7,3,6,1,7,1]],[[2,
2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,2,4,1,6,
-1,4,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[
5,1,7,-2,5,1]],[[1,1,2,1,1,1,2,-2],[3,4],[4,2]]],[[[1,1,2,1],[2,2,3,1,1,1,2,
-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,-4,5,1]],[[1,1,2,1,1,1,2,-2],[
3,4]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[7,1,6,1,7,2,4,1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,
5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,-1,4,1,6,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,
2,1,3,-1,2,-1],[4,-5]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[
1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,1,9,1,6,-1,9,1,6,1,
10,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,-1,6,1,9,1,6,1,9,1,6,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,
1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,-1,6,-1,9,-1,6,1,
9,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,2],[7,-2]]],[[[2,
2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[7,
1,4,1,6,-1,4,1,6,-1,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,
1,2,1,5,-1,2,-1],[4,1,6,1],[7,1,6,1,7,3]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,
1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1,4,1,6,-2]],[[2,2],[3,1,2,1,1,1,
3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1,6,2,4,1]]],[[[2,2],[
3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[6,1,4,
1,7,-3,6,2,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,
-1,2,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1,1,1,2,-2],[3,4],[4,4]],[[1,1,2,1],[2,
2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[7,1,5,1,7,-1,5,1]],[[1,1,
2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,
2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,6,-1,7,-1,6,-1,7,-1]],[[2,2],[3,1,
2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1,6,-1]]],[[[
1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,
8,1,2,-1,7,-2,8,-1],[6,2],[10,2,9,1,10,2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,
2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,1,9,1,6,
-2,9,1,6,1,9,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,
1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,1,6,1,9,-1,6,1,9,-1,6,-2]]],[[[1,
1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,2],[7,-4]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[6,1,9,1,6,-2,9,1,6,1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,
5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2,9,-1,6,-2,9,-1]]],[[[
1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,2],[7,-4]],[[1,1,2,1],[1,
1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,
-2,8,-1],[6,1,9,1,6,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[
1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,-1,9,1,6,1,9,-1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,
2,-1,7,-2,8,-1],[6,2],[9,-1,6,1,10,1,9,-1,6,-1,9,-1,10,-1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,
-1],[6,2],[9,1,10,-3,9,-1,10,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,
1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,-1,6,1,9,1,6,
-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[
4,1,6,1],[4,1,7,-1,6,1,4,1,6,-1,7,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,
2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,2,4,1,6,-1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,
1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,1],[4,1,7,-2,6,-1,7,-1]]],[[[
1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,2,5,
1]],[[1,1,2,1,1,1,2,-2],[3,4]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,
3,1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,1,1,2,-1,3,-1,2,-1,
3,-1,4,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,
2,-1],[4,1,6,1],[6,3,7,2]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,
1,1,2,1,5,-1,2,-1],[6,2,4,1,6,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,
-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,2,5,1,8,-2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,-1,5,
-1,8,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[3,4],[4,2]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,
3,-2],[4,4],[1,1,2,1,1,1,2,-2],[6,4],[5,1,7,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,
3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,1,
6,-2,9,1,6,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[
2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2,9,1,6,1,9,-1,6,1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[6,-4,9,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,
5,-1,2,-1],[6,2,4,1,6,-1,4,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,
-1,1,1,2,1,5,-1,2,-1],[4,1,6,-1,4,1,6,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,
3,1],[4,20],[1,1,2,1],[2,1,1,1],[2,2,6,1,7,-2,6,-1],[5,1,8,1],[8,1,5,1],[10,2,
9,-1,8,1,9,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1],[4,20],[1,1,2,1],[2,1,1,
1],[2,2,6,1,7,-2,6,-1],[5,1,8,1,5,1,8,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,
1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[10,
1,9,1,10,3]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,
1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[9,1,6,-1,9,1,6,1]],[[1,1,2,1],[1,1,2,
-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,
-1],[9,-1,6,1,9,1,6,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[
1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2,9,1,6,-1,9,1,6,-1]]],[[[
2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,-2,
4,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,
-1],[6,1,4,1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2],[4,4]],[[1,
1,2,1,1,1,2,-2],[3,4]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[
1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,-1,9,1,6,-1,9,1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,
-1,7,-2,8,-1],[6,2,9,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,
1,1,2,1,5,-1,2,-1],[4,1,6,-1,4,1,6,1]],[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,
1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,1,4,1,6,-1,4,1]]],[[[2,2],[3,1,2,1,1,1,3,
1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,2,4,1,6,1]],[[2,2],[3,1,2,1,
1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[4,1,6,2]]],[[[1,1,2,1],[
3,2,1,1,2,-1,1,1,2,-1,3,1],[4,20]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,
-1],[7,1,6,1,7,1,2,-1,6,1],[8,-2,5,1,8,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,
2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[
1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[5,-1,8,1,5,-1,8,-1,5,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[
5,-1,8,-1,5,-1,8,1,5,-1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,
1,1,2,1,5,-1,2,-1],[6,1,4,1,6,-1]],[[2,2],[3,1,2,1,1,1,3,1]],[[2,2],[3,1,2,1,
1,1,3,1],[2,1,1,1],[1,1,2,-1,5,-1,1,1,2,1,5,-1,2,-1],[6,-1,4,1,6,1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,2],[7,-4]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,
1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2,9,1,6,-1,9,-1,
6,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,
1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,2],[9,1,10,-1,9,-1,10,1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[6,-1,9,1,6,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,
2],[7,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,
8,-1],[6,1,9,-1,6,-1,9,1]]],[[[2,2],[3,1,2,1,1,1,3,1],[2,1,1,1],[1,1,2,-1,5,
-1,1,1,2,1,5,-1,2,-1],[4,1,6,1,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,2,2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,
1],[4,1,2,1,1,1,3,-1,4,-1,2,2,3,2,2,1]],[[1,1,2,1],[3,2,2,1],[4,1,1,1,2,-1,4,
-1,2,-2,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[1,1,
2,1],[2,1,1,1],[2,1,7,2,8,1,2,-1,7,-2,8,-1],[6,1,9,-1,6,-1]],[[1,1,2,1],[1,1,
2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,5],[6,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,
-1,3,-2,4,-1]]],[[[2,2],[3,1,2,1,1,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1],[1,1,2,1],[1,
1,2,-1],[7,1,6,1,7,1,2,-1,6,1],[8,1,5,1],[5,1,8,3],[10,1,9,1,10,1,9,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,
4,1,2,-1,3,1],[5,5]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]]],[[[1,
1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,4]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,
4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1],[5,-2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1]]],[[[1,
1]],[[2,1]]]]);


LIBTOM( "U4(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,3,8],[1,2,3,9],[1,2,3,10],[1,3,
11],[1,3,12],[1,13],[1,2,6,14],[1,2,4,15],[1,2,5,16],[1,2,6,17],[1,3,6,18],[1,
3,5,19],[1,3,5,20],[1,2,7,21],[1,2,3,10,11,22],[1,2,3,8,10,23],[1,2,3,8,9,10,
24],[1,2,3,7,10,25],[1,2,3,7,10,26],[1,2,3,10,12,27],[1,3,8,11,12,28],[1,2,3,
9,11,12,29],[1,5,6,30],[1,4,6,31],[1,4,5,6,32],[1,4,33],[1,3,13,34],[1,3,5,8,
35],[1,3,6,11,36],[1,2,3,6,9,14,17,18,37],[1,3,5,12,20,38],[1,3,5,11,19,20,
39],[1,2,3,5,9,16,20,40],[1,2,4,7,15,41],[1,2,3,8,9,10,23,24,42],[1,2,3,7,10,
21,25,26,43],[1,2,3,7,8,10,11,22,23,25,26,44],[1,2,3,8,10,12,23,27,45],[1,2,3,
7,8,9,10,12,24,25,27,46],[1,2,3,8,9,10,11,12,22,24,27,28,29,47],[1,3,5,6,18,
19,30,48],[1,2,5,6,14,17,30,49],[1,2,4,5,6,14,16,32,50],[1,2,4,6,14,15,31,
51],[1,3,4,5,6,18,20,32,52],[1,3,5,6,19,20,30,53],[1,2,4,5,6,15,16,17,32,54],[
1,3,12,13,34,55],[1,2,4,7,15,21,56],[1,2,3,5,8,9,10,20,24,35,57],[1,2,4,7,15,
21,41,58],[1,2,6,7,17,21,59],[1,2,5,7,16,21,60],[1,3,5,8,11,12,19,28,35,61],[
1,2,3,6,10,11,17,22,36,62],[1,3,6,8,11,12,18,28,36,63],[1,2,3,5,8,10,16,23,35,
64],[1,2,3,6,9,11,12,14,29,36,65],[1,2,3,5,9,11,12,16,19,20,29,38,39,40,66],[
1,4,5,6,30,31,32,67],[1,4,6,31,68],[1,4,6,31,33,69],[1,2,3,7,8,10,11,21,22,23,
25,26,43,44,70],[1,2,3,7,8,10,11,12,22,23,25,26,27,44,45,71],[1,2,3,7,8,9,10,
11,12,22,23,24,25,26,27,28,29,42,44,45,46,47,72],[1,2,3,5,6,9,14,17,18,19,30,
37,48,49,73],[1,3,5,6,11,18,19,20,30,39,48,53,74],[1,3,5,6,12,18,19,30,48,
75],[1,2,3,4,5,6,9,14,15,16,17,18,20,32,37,40,50,52,54,76],[1,2,3,4,7,10,15,
21,25,26,41,43,56,77],[1,2,3,5,8,9,10,11,12,19,20,22,24,27,28,29,35,39,47,57,
61,78],[1,2,3,5,8,9,10,16,20,23,24,35,40,42,57,64,79],[1,2,3,5,7,8,9,10,12,20,
24,25,27,35,38,46,57,80],[1,2,3,6,8,9,10,11,12,14,17,18,22,24,27,28,29,36,37,
47,62,63,65,81],[1,2,4,6,14,15,31,51,68,82],[1,3,4,5,6,18,19,20,30,31,32,48,
52,53,67,83],[1,2,4,5,6,14,15,16,17,30,31,32,49,50,51,54,67,84],[1,3,5,8,13,
19,34,35,85],[1,3,6,11,13,18,34,36,86],[1,2,3,7,8,9,10,11,12,21,22,23,24,25,
26,27,28,29,42,43,44,45,46,47,70,71,72,87],[1,2,3,5,6,9,11,12,14,17,18,19,20,
29,30,37,39,48,49,53,73,74,75,88],[1,2,4,5,6,7,15,16,17,21,32,41,54,56,58,59,
60,89],[1,2,3,8,9,10,13,23,24,42,90],[1,4,5,6,30,31,32,33,67,68,69,91],[1,2,3,
5,7,8,10,11,16,21,22,23,25,26,35,43,44,60,64,70,92],[1,2,3,6,7,8,10,11,17,21,
22,23,25,26,36,43,44,59,62,70,93],[1,2,3,4,7,8,10,11,15,21,22,23,25,26,41,43,
44,56,58,70,77,94],[1,2,3,5,7,8,9,10,11,12,16,19,20,22,23,24,25,26,27,28,29,
35,38,39,40,42,44,45,46,47,57,61,64,66,72,78,79,80,95],[1,3,4,5,6,11,18,19,20,
30,31,32,39,48,52,53,67,74,83,96],[1,2,4,6,7,14,15,31,41,51,68,82,97],[1,2,3,
4,5,6,9,14,15,16,17,18,19,20,30,31,32,37,40,48,49,50,51,52,53,54,67,73,76,83,
84,98],[1,3,4,5,6,12,18,19,20,30,31,32,38,48,52,53,67,75,83,99],[1,2,3,6,9,11,
12,13,14,17,18,29,34,36,37,55,65,86,100],[1,3,5,8,11,12,13,19,20,28,34,35,39,
55,61,85,101],[1,2,3,7,8,9,10,11,12,13,22,23,24,25,26,27,28,29,34,42,44,45,46,
47,72,90,102],[1,2,4,5,6,14,15,16,17,30,31,32,33,49,50,51,54,67,68,69,82,84,
91,103],[1,2,3,6,7,8,9,10,11,12,14,17,18,21,22,23,24,25,26,27,28,29,36,37,42,
43,44,45,46,47,59,62,63,65,70,71,72,81,87,93,104],[1,2,3,5,7,8,9,10,11,12,16,
20,21,22,23,24,25,26,27,28,29,35,40,42,43,44,45,46,47,57,60,64,70,71,72,79,87,
92,105],[1,2,4,6,7,14,15,21,31,41,51,58,68,82,97,106],[1,2,3,4,5,6,9,11,12,14,
15,16,17,18,19,20,29,30,31,32,37,38,39,40,48,49,50,51,52,53,54,66,67,73,74,75,
76,83,84,88,96,98,99,107],[1,2,3,4,5,6,7,8,10,11,15,16,17,21,22,23,25,26,32,
35,36,41,43,44,54,56,58,59,60,62,64,70,77,89,92,93,94,108],[1,3,4,5,6,11,18,
19,20,30,31,32,33,36,39,48,52,53,67,68,69,74,83,91,96,109],[1,3,5,6,8,11,12,
13,18,19,28,30,34,35,36,48,61,63,75,85,86,110],[1,2,3,4,5,6,7,8,9,10,11,12,14,
15,16,17,18,20,21,22,23,24,25,26,27,28,29,32,35,36,37,40,41,42,43,44,45,46,47,
50,52,54,56,57,58,59,60,62,63,64,65,70,71,72,76,77,79,81,87,89,92,93,94,104,
105,108,111],[1,2,4,5,6,7,14,15,16,17,21,30,31,32,33,41,49,50,51,54,56,58,59,
60,67,68,69,82,84,89,91,97,103,106,112],[1,2,3,4,5,6,9,11,12,14,15,16,17,18,
19,20,29,30,31,32,33,36,37,38,39,40,48,49,50,51,52,53,54,65,66,67,68,69,73,74,
75,76,82,83,84,88,91,96,98,99,103,107,109,113],[1,2,3,5,6,8,9,10,11,12,13,14,
17,18,19,20,22,24,27,28,29,30,34,35,36,37,39,47,48,49,53,55,57,61,62,63,65,73,
74,75,78,81,85,86,88,100,101,110,114],[1,2,3,5,7,8,9,10,11,12,13,16,19,20,21,
22,23,24,25,26,27,28,29,34,35,38,39,40,42,43,44,45,46,47,57,60,61,64,66,70,71,
72,78,79,80,85,87,90,92,95,102,105,115],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,2,1,1],[1,1,2,1],[1,3,
1],[1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[
1,1,1,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,6,4,3,1],[1,3,4,1,3,3,1],[1,1,2,2,1,1],[
1,1,4,1,2,1],[1,1,2,1,2,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,1,3,1],[
1,2,1,1,1],[1,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,1,
1,3,1,1],[1,7,1,3,2,1,1],[1,2,1,1,1,2,1,1],[1,1,1,1,1,1],[1,5,10,10,10,15,5,
10,1],[1,1,6,4,3,1,3,3,1],[1,1,10,2,4,5,4,1,1,1,4,1],[1,1,6,4,3,4,1,2,1],[1,3,
4,2,1,3,3,2,1,1,1,1],[1,3,8,1,3,5,4,2,1,1,1,2,2,1],[1,9,2,2,6,6,1,1],[1,3,2,2,
1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,2,1,
3,1,1],[1,1,2,1,1,2,1,1,1,1],[1,5,5,1,1,1],[1,1,4,3,4,1,1],[1,3,4,4,1,3,3,4,1,
1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,9,4,1,3,3,4,3,1,1],[
1,1,6,4,3,4,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,4,4,3,4,1,1,1],[1,6,3,4,3,1,
3,4,3,1,1],[1,2,7,1,1,3,3,2,2,1,3,1,1,1,1],[1,4,3,6,3,4,6,1],[1,1,12,4,1],[1,
1,3,1,3,1],[1,1,18,6,12,9,12,2,3,3,9,18,6,9,1],[1,1,10,2,4,5,4,8,1,1,1,4,4,1,
2,1],[1,5,14,2,10,10,17,4,4,1,5,10,1,4,2,4,4,1,1,1,2,2,1],[1,6,9,2,2,9,2,6,6,
6,1,6,1,2,1],[1,15,2,2,9,6,8,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,4,3,2,1,1,
3,1,2,4,1,1,3,1,1,3,1,1,1,1],[1,1,6,4,4,3,4,1,3,3,4,1,1,1],[1,3,16,4,1,3,9,12,
6,8,4,3,1,3,6,6,1,4,3,1,2,1],[1,5,10,4,10,10,15,8,4,5,10,1,4,1,1,2,1],[1,3,4,
4,6,1,3,3,6,4,1,3,3,1,4,3,1,1],[1,7,12,4,3,9,9,4,6,4,4,4,1,3,3,6,6,1,4,3,1,1,
1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,4,3,6,6,6,9,3,4,6,1,6,6,1,1],[1,3,4,3,6,1,
6,3,3,3,4,6,1,1,2,3,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,
22,6,18,10,21,12,12,2,3,7,10,9,18,6,12,12,1,6,9,3,6,6,1,3,3,1],[1,6,15,2,2,9,
9,9,2,6,6,8,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,5,4,4,3,5,4,4,1,4,3,4,1,1,1,1,1],[1,
5,10,10,10,15,16,5,10,1,1],[1,4,3,15,3,7,6,6,1,1,2,1],[1,1,18,16,6,12,9,12,16,
2,3,3,9,18,12,6,9,8,12,1,1],[1,1,18,16,6,12,9,12,16,2,3,3,9,18,12,6,9,8,12,1,
1],[1,1,18,4,6,12,9,12,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,5,22,4,6,10,10,21,12,
12,8,8,4,3,5,10,3,12,6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,27,4,3,6,
27,18,18,27,3,4,6,27,3,18,18,1,9,3,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,6,9,4,
3,6,9,2,12,6,6,6,6,9,3,4,6,6,9,1,2,2,4,6,6,6,1,1,6,1,2,1],[1,9,4,3,6,27,6,6,9,
3,4,6,9,1,6,6,1,3,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,5,30,10,10,10,25,20,20,16,5,5,10,
5,20,10,20,20,16,1,5,5,10,10,5,1,1],[1,9,4,3,15,12,18,9,9,3,7,6,6,3,3,15,9,1,
1,2,1,3,1,1],[1,13,30,16,6,30,30,45,12,36,16,16,16,2,3,15,30,9,18,18,36,36,12,
16,3,6,9,9,18,18,8,12,12,12,1,9,9,12,3,1,1],[1,5,22,16,6,18,10,21,12,12,32,16,
2,3,7,10,9,18,6,12,12,12,16,1,6,9,3,6,6,4,8,16,1,3,3,4,1,1,1],[1,9,1,12,27,12,
9,9,4,27,12,9,1,1,3,1],[1,6,27,4,3,6,9,27,27,2,12,6,6,18,18,27,27,3,4,6,6,9,
27,9,3,2,2,4,18,18,6,9,1,1,9,3,6,3,2,3,1,1,1,1],[1,1,18,8,16,16,6,12,9,12,8,
16,16,2,3,3,9,18,16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,27,4,3,42,
27,18,18,27,3,16,6,24,27,27,3,18,18,1,4,8,9,3,4,1,1],[1,45,20,20,15,15,45,36,
60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,13,30,8,16,16,6,30,30,45,12,36,16,
8,64,16,16,48,2,3,15,30,9,18,18,36,36,16,12,12,16,48,24,3,6,9,9,18,18,16,16,
16,2,12,8,8,8,12,12,24,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,9,13,12,24,
27,12,45,36,36,9,12,16,24,24,27,12,12,24,36,9,9,9,9,4,1,8,1,12,9,4,3,4,1,1],[
1,18,27,4,3,42,27,27,81,42,36,18,18,18,18,27,81,3,16,6,24,27,18,27,27,27,3,6,
6,48,18,18,18,27,27,1,4,8,3,9,9,18,4,3,6,9,4,1,3,3,4,3,1,1],[1,15,60,20,20,15,
45,45,60,90,36,20,60,60,80,60,15,15,45,90,90,10,36,15,15,60,60,45,10,20,20,36,
15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,5,70,40,30,50,10,45,60,60,96,
80,80,40,10,15,15,10,45,90,30,60,60,96,50,40,40,40,1,30,45,15,30,30,10,40,20,
60,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,45,270,40,120,240,270,270,270,
405,540,1620,1296,240,360,720,720,720,720,1080,90,135,135,270,405,810,810,
1620,1620,120,160,240,960,1296,270,540,720,1080,1080,1080,1080,27,270,405,405,
810,810,120,240,240,480,720,720,720,1296,90,270,360,360,360,540,540,540,540,
540,1080,40,40,320,45,405,405,120,360,360,720,270,270,270,270,540,40,120,240,
216,216,135,360,360,162,160,45,45,90,270,40,120,120,120,216,216,162,160,45,
135,40,120,45,40,36,45,40,40,36,27,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,9,9,9,9,10,12,12,
12,12,12,12,12,16,16,16,16,16,16,18,18,18,18,18,18,18,20,24,24,24,24,24,24,24,
24,24,24,24,27,27,27,32,32,32,36,36,36,36,48,48,48,48,48,54,54,54,60,60,64,72,
72,80,81,96,96,96,96,108,108,108,108,120,120,160,162,192,192,216,216,288,324,
360,576,648,648,720,960,25920],
[116,111,95,112,107,98,94,95,95,87,81,47,55,98,89,76,76,76,74,66,108,104,105,
95,87,70,72,47,47,107,103,98,69,55,95,81,76,66,66,66,58,115,94,87,87,72,72,
107,98,98,84,76,74,76,55,108,95,89,89,89,78,81,81,79,81,66,113,112,91,111,87,
87,107,88,88,76,94,95,95,95,81,112,107,98,101,100,105,88,89,102,103,111,111,
108,95,113,106,107,107,100,101,102,103,111,105,112,107,111,113,114,111,112,
113,114,115,116],
[1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,6,5,1,2,1,1,1,1,2,1,3,3,1,1,1,1,13,8,11,6,
5,5,1,1,1,2,2,2,3,3,30,6,6,6,6,5,1,13,21,8,2,21,21,35,11,36,8,36,20,1,4,4,2,
10,10,30,30,30,6,21,35,8,35,36,68,30,6,85,86,23,48,21,42,31,70,70,21,57,67,68,
30,67,86,85,90,68,93,70,82,83,70,96,110,93,106,109,110,115,116],
[( 2,24)( 3, 5)( 4, 8)( 6,17)( 7,23)( 9,21)(10,26)(11,15)(12,18)(13,16)(14,22)
(20,27),( 1,26,19, 5, 2, 9, 3,20,21)( 4,22,14,12,11,10,13,17, 8)
( 6,18,23,27,15,25,16,24, 7)],
[[[[]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[
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2,1],[2,1,1,1],[2,-1,4,-1,3,-1,2,-2,4,-1]]],[[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,
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1,3,-1,2,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,2,4,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-3,1,1,
2,1,3,2]],[[1,1,2,1],[2,1,3,1],[4,2,3,1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[
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1],[4,2,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,
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1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,
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1,3,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,
1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,
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1,4,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[2,-1,1,1,2,1]]],[[[2,1,1,
1],[1,1,2,-3,1,1,2,1,3,2]],[[2,1,1,1],[2,2,3,1,2,1,3,1,2,-1,1,1]],[[1,1,2,-2,
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1,2,1],[2,2,1,1],[3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,2,2]],[[1,1]]],[[[1,1,2,1],[
2,1,3,2,2,2]],[[1,1,2,1],[3,2,2,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,
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2,-1,1,1]]],[[[1,1,2,-2,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,
1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[
4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,
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-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,2,3,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,
1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,2,-1]],[[
1,1,2,-2,1,1,2,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,1,1,2,-1]],[[1,1]]],[[[1,1,2,1],[3,1,2,1,3,2,
2,1]],[[1,1,2,-3]]],[[[2,2],[2,1,1,1,3,2]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[
1,1,2,-2,3,2,2,1]],[[2,1,1,1,2,1],[3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,2,2,
1]],[[1,1,2,-3]],[[2,-1,1,1,2,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,-1,2,-1]],[[1,
1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,2,3,1]]],[[[2,2],[2,1,1,1,3,
2]],[[1,1]]],[[[1,1,2,1],[3,-2,2,1,3,1]],[[2,1,1,1]]],[[[2,2,1,1,2,-2,1,1]],[[
1,1,2,-1,1,1,2,-1]]],[[[1,1]],[[2,1]]]]);
ACLT( "U4(2)",
"sortperm",(  2,  3)(  4,  6,  5)(  7, 12, 10,  9, 11)( 14, 18, 17, 19)
( 15, 20)( 21, 29)( 22, 23, 24, 28)( 25, 26)( 31, 33)( 35, 38, 36, 40, 37, 39)
( 42, 47)( 43, 44)( 49, 50, 53)( 51, 52, 54)( 56, 66)( 57, 59, 65, 61, 58, 64)
( 62, 63)( 67, 68, 69)( 70, 72)( 73, 75)( 77, 81, 80, 78)( 82, 83, 84)
( 93, 94, 95)( 96, 98, 99, 97)(104,105));


LIBTOM( "U5(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,3,8],[1,3,9],[1,3,10],[1,2,3,
11],[1,2,12],[1,3,13],[1,2,14],[1,15],[1,2,6,16],[1,3,6,17],[1,3,7,18],[1,2,4,
19],[1,2,5,20],[1,2,6,21],[1,3,4,22],[1,3,5,23],[1,2,5,24],[1,2,7,25],[1,3,7,
26],[1,2,3,9,11,27],[1,2,3,10,11,28],[1,2,3,8,9,11,29],[1,2,12,30],[1,2,12,
31],[1,2,12,14,32],[1,2,3,11,12,33],[1,2,3,11,12,34],[1,2,3,11,14,35],[1,2,3,
11,13,36],[1,2,3,8,12,14,37],[1,2,3,11,12,38],[1,3,9,10,13,39],[1,2,3,8,10,13,
40],[1,2,14,41],[1,4,5,6,42],[1,5,6,43],[1,5,6,7,44],[1,4,5,7,45],[1,6,7,46],[
1,5,7,47],[1,4,6,7,48],[1,5,49],[1,5,50],[1,3,15,51],[1,52],[1,3,5,9,53],[1,3,
6,10,54],[1,3,7,9,55],[1,3,7,10,56],[1,2,3,6,8,16,17,21,57],[1,3,7,10,18,26,
58],[1,3,4,9,22,59],[1,2,3,4,8,19,22,60],[1,2,3,4,11,19,22,61],[1,3,4,10,22,
62],[1,2,3,5,8,20,23,24,63],[1,2,3,7,8,25,26,64],[1,2,4,12,19,65],[1,2,5,12,
24,66],[1,2,6,12,21,67],[1,2,5,14,24,68],[1,3,4,13,22,69],[1,2,6,14,21,70],[1,
3,7,13,26,71],[1,4,15,72],[1,2,3,8,9,11,27,29,73],[1,2,3,9,11,14,27,35,74],[1,
2,3,9,11,12,27,34,75],[1,2,3,10,11,12,28,33,34,76],[1,2,3,8,9,11,12,14,29,34,
35,37,77],[1,2,3,11,12,30,33,38,78],[1,2,3,11,12,31,33,34,38,79],[1,2,3,9,10,
11,12,27,28,33,38,80],[1,2,3,10,11,12,28,34,38,81],[1,2,3,8,9,10,11,13,28,29,
36,39,40,82],[1,2,3,11,12,30,31,34,83],[1,2,3,8,12,14,30,32,37,84],[1,2,3,11,
12,31,33,34,85],[1,2,3,11,12,14,32,34,35,86],[1,2,3,8,12,14,31,32,37,87],[1,2,
3,9,11,13,27,36,88],[1,2,3,8,9,11,12,13,29,33,36,89],[1,2,3,10,11,13,14,28,35,
36,90],[1,2,3,11,12,13,34,36,91],[1,2,3,11,12,13,34,36,92],[1,2,3,11,12,13,14,
33,35,36,93],[1,2,3,11,14,35,41,94],[1,2,3,11,14,35,41,95],[1,2,3,11,14,35,41,
96],[1,2,4,5,6,16,20,42,97],[1,3,4,5,6,17,23,42,98],[1,2,4,6,7,16,19,48,99],[
1,2,5,6,7,16,25,44,100],[1,2,5,6,16,24,43,101],[1,2,6,7,16,21,46,102],[1,3,5,
6,17,23,43,103],[1,3,5,6,7,17,26,44,104],[1,3,4,6,7,17,22,48,105],[1,3,6,7,18,
26,46,106],[1,3,5,7,18,23,47,107],[1,3,4,5,7,18,22,45,108],[1,3,6,7,17,18,46,
109],[1,2,4,5,6,19,21,24,42,110],[1,2,5,6,20,21,43,111],[1,2,5,6,7,21,24,25,
44,112],[1,2,4,5,7,19,20,24,25,45,113],[1,2,4,6,7,19,21,25,48,114],[1,3,4,5,7,
22,23,26,45,115],[1,2,5,20,49,116],[1,3,13,15,51,117],[1,2,4,12,19,30,118],[1,
2,6,12,21,30,119],[1,2,5,12,24,30,120],[1,2,5,12,20,30,121],[1,2,7,12,25,30,
122],[1,2,7,12,25,30,123],[1,2,7,12,25,31,124],[1,2,4,12,19,30,65,125],[1,2,5,
12,24,30,66,126],[1,2,6,12,21,30,67,127],[1,2,5,12,14,24,32,66,68,128],[1,3,6,
9,10,13,17,39,54,129],[1,2,3,6,8,10,13,16,40,54,130],[1,3,7,9,10,13,18,39,55,
131],[1,2,3,5,8,9,11,23,29,53,132],[1,2,3,5,9,11,20,27,53,133],[1,2,3,6,10,11,
21,28,54,134],[1,2,3,5,9,11,24,27,53,135],[1,2,3,7,8,9,11,26,29,55,136],[1,2,
3,7,9,11,25,27,55,137],[1,2,3,7,10,11,25,28,56,138],[1,2,3,4,9,11,19,22,27,59,
61,139],[1,2,3,4,10,11,19,22,28,61,62,140],[1,2,3,4,8,9,11,19,22,29,59,60,61,
141],[1,2,3,4,11,12,19,22,33,61,65,142],[1,2,3,4,11,13,19,22,36,61,69,143],[1,
2,3,5,8,12,14,20,23,24,37,63,66,68,144],[1,2,3,6,8,12,14,16,17,21,37,57,67,70,
145],[1,2,6,12,14,21,32,67,70,146],[1,2,3,4,11,12,19,22,38,61,65,147],[1,2,3,
4,8,10,13,19,22,40,60,62,69,148],[1,3,4,9,10,13,22,39,59,62,69,149],[1,2,3,7,
8,10,13,18,25,26,40,58,64,71,150],[1,5,6,43,151],[1,5,6,7,43,47,152],[1,5,6,7,
43,44,46,153],[1,4,5,6,7,42,43,46,47,48,154],[1,4,5,6,7,42,43,44,45,48,155],[
1,4,5,6,7,44,45,46,47,48,156],[1,5,6,43,49,157],[1,5,6,43,50,158],[1,5,7,47,
49,50,159],[1,4,5,6,42,49,50,160],[1,3,4,15,22,51,72,161],[1,2,3,9,11,12,27,
30,31,34,75,83,162],[1,2,3,9,11,12,14,27,32,34,35,74,75,86,163],[1,2,3,10,11,
12,28,30,31,33,34,76,83,85,164],[1,2,3,8,9,11,12,14,29,30,31,32,34,35,37,77,
83,84,86,87,165],[1,2,3,9,10,11,12,27,28,30,33,38,78,80,166],[1,2,3,9,10,11,
12,27,28,31,33,34,38,79,80,81,167],[1,2,3,8,9,11,12,14,27,29,34,35,37,73,74,
75,77,168],[1,2,3,10,11,12,28,30,31,33,34,38,76,78,79,81,83,169],[1,2,3,9,10,
11,12,27,28,31,33,34,38,75,76,79,80,81,85,170],[1,2,3,8,9,10,11,12,13,27,28,
29,33,36,38,39,40,73,80,82,88,89,171],[1,2,3,9,10,11,12,13,27,28,33,36,38,80,
88,172],[1,2,3,9,10,11,12,13,27,28,33,36,38,80,88,173],[1,2,3,9,11,12,13,27,
34,36,75,88,91,92,174],[1,2,3,11,12,13,30,31,34,36,83,91,92,175],[1,2,3,11,12,
30,31,33,34,38,78,79,83,85,176],[1,2,3,8,9,11,12,14,29,34,35,37,77,177],[1,2,
3,8,9,10,11,12,13,14,28,29,34,35,36,37,38,39,40,77,81,82,90,91,178],[1,2,3,8,
9,11,12,13,14,29,31,33,34,35,36,37,77,85,89,91,93,179],[1,2,3,10,11,12,13,14,
28,32,33,34,35,36,76,86,90,91,93,180],[1,2,3,9,11,14,27,35,41,74,94,95,96,
181],[1,2,3,11,12,13,14,31,32,33,34,35,36,85,86,92,93,182],[1,2,3,10,11,12,13,
14,28,32,34,35,36,38,81,86,90,92,183],[1,2,3,9,10,11,12,13,14,27,28,33,35,36,
38,74,80,88,90,93,184],[1,2,3,8,9,10,11,12,13,14,28,29,33,34,35,36,37,39,40,
76,77,82,89,90,92,93,185],[1,2,3,11,12,14,32,34,35,41,86,95,186],[1,2,3,11,12,
14,32,34,35,41,86,94,187],[1,2,3,8,9,11,12,14,29,34,35,37,41,77,96,188],[1,2,
3,11,14,35,41,94,95,96,189],[1,2,3,6,7,8,16,17,18,21,46,57,102,109,190],[1,3,
6,7,10,17,18,26,46,58,106,109,191],[1,2,3,4,5,6,8,16,17,19,20,21,23,24,42,57,
63,97,98,110,192],[1,2,3,5,6,7,8,16,17,21,24,25,26,44,57,64,100,104,112,193],[
1,2,3,5,6,8,16,17,20,21,23,24,43,57,63,101,103,111,194],[1,2,3,4,6,7,8,16,17,
19,21,22,25,48,57,60,99,105,114,195],[1,3,4,5,7,10,18,22,23,26,45,58,62,108,
115,196],[1,3,4,5,7,9,22,45,53,55,59,197],[1,3,4,6,7,10,22,48,54,56,62,198],[
1,3,6,7,13,17,18,46,109,199],[1,2,4,5,6,14,19,21,24,42,68,70,110,200],[1,3,4,
5,7,13,22,23,26,45,69,71,115,201],[1,2,4,5,6,12,19,21,24,42,65,66,67,110,
202],[1,2,3,4,5,7,8,19,20,22,23,24,25,26,45,60,63,64,113,115,203],[1,2,3,4,8,
9,11,19,22,27,29,59,60,61,73,139,141,204],[1,2,3,4,11,12,19,30,33,38,65,78,
118,205],[1,2,3,6,11,12,21,30,33,38,67,78,119,206],[1,2,3,5,11,12,24,30,33,38,
66,78,120,207],[1,2,3,4,11,12,19,22,30,31,34,61,83,118,208],[1,2,3,4,8,12,14,
19,22,30,32,37,60,84,118,209],[1,2,3,5,8,12,14,20,23,24,30,32,37,63,84,121,
210],[1,2,3,7,8,12,14,25,26,30,32,37,64,84,122,211],[1,2,3,7,8,12,14,25,26,31,
32,37,64,87,124,212],[1,2,3,5,8,9,11,20,23,24,27,29,53,63,73,132,133,135,
213],[1,2,3,7,8,9,11,25,26,27,29,55,64,73,136,137,214],[1,2,3,6,8,9,10,11,13,
16,17,21,28,29,36,39,40,54,57,82,129,130,134,215],[1,2,3,7,8,9,10,11,13,18,26,
28,29,36,39,40,55,58,82,131,136,216],[1,2,3,6,8,12,14,16,17,21,30,32,37,57,67,
70,84,127,145,146,217],[1,2,3,4,11,12,19,22,30,33,38,61,65,78,125,142,147,
218],[1,2,3,7,8,9,11,12,13,26,29,33,36,55,71,89,136,219],[1,2,3,6,10,11,13,14,
21,28,35,36,54,70,90,134,220],[1,2,3,4,9,10,11,12,19,22,27,28,33,38,59,61,62,
65,80,139,140,142,147,221],[1,2,3,4,8,9,10,11,13,19,22,28,29,36,39,40,59,60,
61,62,69,82,140,141,143,148,149,222],[1,2,3,4,9,11,13,19,22,27,36,59,61,69,88,
139,143,223],[1,2,3,4,8,9,11,12,13,19,22,29,33,36,59,60,61,65,69,89,141,142,
143,224],[1,2,3,5,9,11,14,24,27,35,53,68,74,135,225],[1,2,3,5,9,11,12,24,27,
34,53,66,75,135,226],[1,2,3,6,10,11,12,21,28,33,34,54,67,76,134,227],[1,2,3,5,
8,12,14,20,23,24,30,32,37,63,66,68,84,126,128,144,228],[1,2,5,6,16,24,43,101,
151,229],[1,3,5,6,17,23,43,103,151,230],[1,3,5,6,7,17,18,23,43,47,103,107,152,
231],[1,2,5,6,20,21,43,111,151,232],[1,2,4,5,6,7,16,20,21,42,43,46,47,48,97,
102,111,154,233],[1,2,4,5,6,7,16,19,21,25,44,45,46,47,48,99,100,102,114,156,
234],[1,2,4,5,6,7,16,19,21,24,42,43,46,47,48,99,101,102,110,154,235],[1,2,4,5,
6,7,16,19,20,24,25,42,43,44,45,48,97,99,100,101,113,155,236],[1,2,5,6,7,16,21,
24,25,43,44,46,100,101,102,112,153,237],[1,3,4,5,6,7,17,22,23,26,42,43,44,45,
48,98,103,104,105,115,155,238],[1,3,4,5,6,7,18,22,23,26,44,45,46,47,48,106,
107,108,115,156,239],[1,3,5,6,7,17,18,26,43,44,46,104,106,109,153,240],[1,3,4,
5,6,7,17,18,22,44,45,46,47,48,105,108,109,156,241],[1,3,4,5,6,7,17,18,23,42,
43,46,47,48,98,103,107,109,154,242],[1,2,4,5,6,7,19,20,21,24,25,42,43,44,45,
48,110,111,112,113,114,155,243],[1,2,5,6,20,21,43,49,111,116,157,244],[1,2,4,
5,6,16,20,42,49,50,97,116,160,245],[1,15,52,246],[1,3,7,9,15,18,51,55,247],[1,
3,6,10,15,17,51,54,248],[1,3,7,10,15,18,51,56,249],[1,3,4,13,15,22,51,69,72,
117,161,250],[1,2,3,8,9,11,12,14,27,29,30,31,32,34,35,37,73,74,75,77,83,84,86,
87,162,163,165,168,251],[1,2,3,9,11,12,13,27,30,31,34,36,75,83,88,91,92,162,
174,175,252],[1,2,3,9,10,11,12,27,28,30,31,33,34,38,75,76,78,79,80,81,83,85,
162,164,169,170,176,253],[1,2,3,8,9,10,11,12,13,27,28,29,30,33,36,38,39,40,73,
78,80,82,88,89,166,171,172,254],[1,2,3,8,9,10,11,12,13,27,28,29,31,33,34,36,
38,39,40,73,79,80,81,82,88,89,167,171,173,255],[1,2,3,9,10,11,12,27,28,30,31,
33,34,38,75,76,78,79,80,81,83,85,166,167,169,170,176,256],[1,2,3,8,9,11,12,14,
27,29,34,35,37,73,74,75,77,168,177,257],[1,2,3,9,11,14,27,35,41,74,94,95,96,
181,258],[1,2,3,9,10,11,12,13,14,27,28,30,33,35,36,38,74,78,80,88,90,93,166,
173,184,259],[1,2,3,9,10,11,12,13,14,27,28,31,33,34,35,36,38,74,79,80,81,88,
90,93,167,172,173,184,260],[1,2,3,9,11,12,14,27,32,34,35,41,74,75,86,94,95,96,
163,181,186,261],[1,2,3,9,11,12,14,27,32,34,35,41,74,75,86,94,95,96,163,181,
187,262],[1,2,3,8,9,10,11,12,13,14,27,28,29,31,33,34,35,36,37,38,39,40,73,74,
75,76,77,79,80,81,82,85,88,89,90,91,92,93,168,170,171,174,178,179,184,185,
263],[1,2,3,9,10,11,12,13,14,27,28,31,32,33,34,35,36,38,74,75,76,79,80,81,85,
86,88,90,91,92,93,163,170,174,180,182,183,184,264],[1,2,3,8,9,11,12,14,27,29,
34,35,37,41,73,74,75,77,94,95,96,168,181,188,265],[1,2,3,8,9,10,11,12,13,14,
28,29,30,31,32,33,34,35,36,37,39,40,76,77,82,83,84,85,86,87,89,90,91,92,93,
164,165,175,179,180,182,185,266],[1,2,3,8,9,10,11,12,13,14,28,29,30,31,32,33,
34,35,36,37,38,39,40,76,77,78,79,81,82,83,84,86,87,89,90,91,92,93,165,169,175,
178,180,183,185,267],[1,2,3,9,10,11,12,13,27,28,31,33,34,36,38,75,76,79,80,81,
85,88,91,92,170,172,173,174,268],[1,2,3,9,11,14,27,35,41,74,94,95,96,181,189,
269],[1,2,3,10,11,12,13,14,28,32,34,35,36,38,41,81,86,90,92,94,95,183,186,187,
270],[1,2,3,8,9,10,11,12,13,14,28,29,34,35,36,37,38,39,40,41,77,81,82,90,91,
96,177,178,188,271],[1,2,3,11,12,13,14,31,32,33,34,35,36,41,85,86,92,93,94,95,
182,186,187,272],[1,2,3,8,9,11,12,13,14,29,31,33,34,35,36,37,41,77,85,89,91,
93,96,177,179,188,273],[1,2,4,5,6,12,19,21,24,30,42,65,110,118,119,120,125,
274],[1,2,5,6,7,12,21,24,25,30,44,67,112,120,122,127,275],[1,2,5,6,12,20,21,
30,43,67,111,119,121,127,276],[1,2,5,6,7,12,21,24,25,30,44,66,112,119,120,123,
126,277],[1,2,4,6,7,12,19,21,25,30,48,65,114,119,122,123,125,278],[1,2,4,6,7,
12,19,21,25,30,48,67,114,118,123,127,279],[1,2,4,5,7,12,19,20,24,25,30,45,65,
113,120,121,123,125,280],[1,2,4,5,7,12,19,20,24,25,30,45,66,113,118,121,122,
126,281],[1,2,4,5,6,12,19,21,24,30,42,65,66,67,110,125,126,127,202,282],[1,2,
3,4,5,7,8,9,11,19,22,23,26,29,45,53,55,59,60,61,115,132,136,141,197,283],[1,2,
3,4,5,7,9,11,19,20,22,24,25,27,45,53,55,59,61,113,133,135,137,139,197,284],[1,
2,3,4,6,7,10,11,19,21,22,25,28,48,54,56,61,62,114,134,138,140,198,285],[1,2,3,
6,7,8,10,13,16,17,18,21,26,40,46,57,58,102,106,109,190,191,199,286],[1,2,4,5,
6,12,14,19,21,24,32,42,65,66,67,68,70,110,128,146,200,202,287],[1,2,3,4,5,6,8,
12,14,16,17,19,20,21,23,24,37,42,57,63,65,66,67,68,70,97,98,110,144,145,192,
200,202,288],[1,3,4,5,7,9,10,13,18,22,39,45,53,55,59,62,69,108,131,149,197,
289],[1,2,3,4,6,7,8,10,13,16,19,22,40,48,54,56,60,62,69,99,130,148,198,290],[
1,3,4,6,7,9,10,13,17,22,39,48,54,56,59,62,69,105,129,149,198,291],[1,2,3,4,5,
7,8,10,13,18,19,20,22,23,24,25,26,40,45,58,60,62,63,64,69,71,108,113,115,148,
150,196,201,203,292],[1,2,3,8,9,11,15,27,29,73,293],[1,4,5,6,7,42,43,44,45,46,
47,48,153,154,155,156,294],[1,4,5,6,7,42,43,46,47,48,151,152,154,295],[1,4,5,
6,7,42,43,44,45,48,49,151,155,157,296],[1,5,6,7,43,44,46,50,151,153,158,297],[
1,5,6,7,43,44,46,47,49,50,152,153,157,158,298],[1,4,5,6,7,42,43,44,45,47,48,
50,152,155,158,299],[1,4,5,6,7,42,43,46,47,48,49,50,154,157,158,159,160,300],[
1,2,3,6,9,10,11,12,21,27,28,30,33,38,54,78,80,119,134,166,301],[1,2,3,5,9,10,
11,12,24,27,28,30,33,38,53,78,80,120,135,166,302],[1,2,3,5,9,10,11,12,20,27,
28,30,33,38,53,78,80,121,133,166,303],[1,2,3,7,9,10,11,12,25,27,28,30,33,38,
55,78,80,123,137,166,304],[1,2,3,7,9,10,11,12,25,27,28,30,33,38,56,78,80,122,
123,138,166,305],[1,2,3,7,9,10,11,12,25,27,28,31,33,34,38,55,56,79,80,81,124,
137,138,167,306],[1,2,3,4,9,10,11,12,19,27,28,30,33,38,65,78,80,118,125,166,
205,307],[1,2,3,5,9,10,11,12,24,27,28,30,33,38,66,78,80,120,126,166,207,308],[
1,2,3,6,9,10,11,12,21,27,28,30,33,38,67,78,80,119,127,166,206,309],[1,2,3,4,
10,11,12,19,22,28,30,31,33,34,61,62,76,83,85,118,140,164,208,310],[1,2,3,4,9,
11,12,19,22,27,30,31,34,59,61,75,83,118,139,162,208,311],[1,2,3,4,8,9,11,12,
14,19,22,29,30,31,32,34,35,37,59,60,61,77,83,84,86,87,118,141,165,208,209,
312],[1,2,3,5,9,11,12,20,27,30,31,34,53,75,83,121,133,162,313],[1,2,3,7,9,11,
12,25,27,30,31,34,55,75,83,122,124,137,162,314],[1,2,3,7,10,11,12,25,28,30,31,
33,34,56,76,83,85,123,124,138,164,315],[1,2,3,4,9,10,11,12,19,22,27,28,30,33,
38,59,61,62,65,78,80,125,139,140,142,147,166,218,221,316],[1,2,3,4,10,11,12,
19,22,28,30,31,33,34,38,61,65,76,78,79,81,83,118,142,169,205,208,317],[1,2,3,
6,10,11,12,21,28,30,31,33,34,54,67,76,83,85,127,134,164,227,318],[1,2,3,5,9,
11,12,24,27,30,31,34,53,66,75,83,126,135,162,226,319],[1,2,3,5,9,11,12,14,24,
27,32,34,35,53,66,68,74,75,86,128,135,163,225,226,320],[1,2,3,4,11,12,13,19,
22,30,31,34,36,61,69,83,91,92,118,143,175,208,321],[1,2,3,4,11,12,19,22,30,31,
33,34,38,61,65,78,79,83,85,118,147,176,205,208,322],[1,2,3,7,8,9,11,12,14,26,
29,34,35,37,55,77,136,177,323],[1,2,3,7,8,9,10,11,12,13,18,25,26,27,28,29,33,
36,38,39,40,55,58,64,71,73,80,82,88,89,131,136,137,150,171,214,216,219,324],[
1,2,3,4,8,9,10,11,12,13,19,22,27,28,29,33,36,38,39,40,59,60,61,62,65,69,73,80,
82,88,89,139,140,141,142,143,147,148,149,171,204,221,222,223,224,325],[1,2,3,
5,8,9,11,12,14,20,23,24,27,29,34,35,37,53,63,66,68,73,74,75,77,132,133,135,
144,168,213,225,226,326],[1,2,3,4,9,10,11,12,13,19,22,27,28,33,36,38,59,61,62,
65,69,80,88,139,140,142,143,147,172,221,223,327],[1,2,3,6,8,9,10,11,12,13,14,
16,17,21,28,29,33,34,35,36,37,39,40,54,57,67,70,76,77,82,89,90,92,93,129,130,
134,145,185,215,220,227,328],[1,2,3,6,10,11,12,13,14,21,28,32,33,34,35,36,54,
67,70,76,86,90,91,93,134,146,180,220,227,329],[1,3,5,6,7,10,17,18,26,43,44,46,
58,104,106,109,153,191,240,330],[1,2,3,5,6,8,16,17,20,21,23,24,43,57,63,101,
103,111,151,194,229,230,232,331],[1,2,5,6,12,16,24,43,66,101,151,229,332],[1,
2,5,6,14,16,24,43,68,101,151,229,333],[1,3,5,6,7,13,17,18,26,43,44,46,71,104,
106,109,153,199,240,334],[1,2,3,4,5,6,7,8,16,17,18,19,21,22,25,44,45,46,47,48,
57,60,99,100,102,105,108,109,114,156,190,195,234,241,335],[1,2,3,5,6,7,8,16,
17,18,21,24,25,26,43,44,46,57,64,100,101,102,104,106,109,112,153,190,193,237,
240,336],[1,2,3,4,5,6,7,8,16,17,18,19,20,21,23,24,42,43,46,47,48,57,63,97,98,
99,101,102,103,107,109,110,111,154,190,192,194,233,235,242,337],[1,3,4,5,6,7,
10,17,18,22,23,26,44,45,46,47,48,58,62,105,106,107,108,109,115,156,191,196,
239,241,338],[1,3,4,5,6,7,13,17,18,22,44,45,46,47,48,69,105,108,109,156,199,
241,339],[1,2,3,4,5,6,7,8,16,17,19,20,21,22,23,24,25,26,42,43,44,45,48,57,60,
63,64,97,98,99,100,101,103,104,105,110,111,112,113,114,115,155,192,193,194,
195,203,236,238,243,340],[1,3,7,9,10,13,15,18,26,39,51,55,58,117,131,247,
341],[1,2,3,6,8,10,13,15,16,17,21,40,51,54,57,117,130,248,342],[1,2,3,9,10,11,
12,27,28,30,31,33,34,38,75,76,78,79,80,81,83,85,162,164,166,167,169,170,176,
253,256,343],[1,2,3,9,10,11,12,13,27,28,30,31,33,34,36,38,75,76,78,79,80,81,
83,85,88,91,92,162,164,169,170,172,173,174,175,176,252,253,268,344],[1,2,3,8,
9,11,12,14,27,29,30,31,32,34,35,37,73,74,75,77,83,84,86,87,162,163,165,168,
177,251,257,345],[1,2,3,8,9,10,11,12,13,14,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,162,
163,164,165,168,169,170,171,174,175,176,178,179,180,182,183,184,185,251,252,
253,263,264,266,267,346],[1,2,3,8,9,11,12,14,27,29,30,31,32,34,35,37,41,73,74,
75,77,83,84,86,87,94,95,96,162,163,165,168,181,186,187,188,251,261,262,265,
347],[1,2,3,9,10,11,12,13,14,27,28,30,31,32,33,34,35,36,38,74,75,76,78,79,80,
81,83,85,86,88,90,91,92,93,163,166,167,169,170,172,173,174,176,180,182,183,
184,256,259,260,264,268,348],[1,2,3,8,9,10,11,12,13,14,27,28,29,30,31,33,34,
35,36,37,38,39,40,73,74,75,76,77,78,79,80,81,82,83,85,88,89,90,91,92,93,166,
167,168,169,170,171,172,173,174,176,178,179,184,185,254,255,256,259,260,263,
268,349],[1,2,3,9,11,12,14,27,32,34,35,41,74,75,86,94,95,96,163,181,187,189,
258,262,269,350],[1,2,3,9,11,12,14,27,32,34,35,41,74,75,86,94,95,96,163,181,
186,189,258,261,269,351],[1,2,3,8,9,11,12,14,27,29,34,35,37,41,73,74,75,77,94,
95,96,168,181,188,189,258,265,269,352],[1,2,3,9,10,11,12,13,14,27,28,31,32,33,
34,35,36,38,41,74,75,76,79,80,81,85,86,88,90,91,92,93,94,95,96,163,170,174,
180,181,182,183,184,186,187,261,262,264,270,272,353],[1,2,3,8,9,10,11,12,13,
14,27,28,29,31,33,34,35,36,37,38,39,40,41,73,74,75,76,77,79,80,81,82,85,88,89,
90,91,92,93,94,95,96,168,170,171,174,177,178,179,181,184,185,188,257,263,265,
271,273,354],[1,2,3,5,6,8,12,14,16,17,20,21,23,24,30,32,37,43,57,63,67,70,84,
101,103,111,119,121,127,145,146,194,210,217,276,355],[1,2,3,5,6,7,8,12,14,16,
17,21,24,25,26,30,32,37,44,57,64,67,70,84,100,104,112,120,122,127,145,146,193,
211,217,275,356],[1,2,3,4,6,7,8,12,14,16,17,19,21,22,25,30,32,37,48,57,60,67,
70,84,99,105,114,118,123,127,145,146,195,209,217,279,357],[1,2,3,4,5,6,8,12,
14,16,17,19,20,21,23,24,30,32,37,42,57,63,65,66,67,68,70,84,97,98,110,125,126,
127,128,144,145,146,192,200,202,217,228,282,287,288,358],[1,2,3,4,5,7,8,9,10,
11,13,18,19,22,23,26,28,29,36,39,40,45,53,55,58,59,60,61,62,69,82,108,115,131,
132,136,140,141,143,148,149,196,197,216,222,283,289,359],[1,2,3,4,6,7,8,9,10,
11,13,16,17,19,21,22,25,28,29,36,39,40,48,54,56,57,59,60,61,62,69,82,99,105,
114,129,130,134,138,140,141,143,148,149,195,198,215,222,285,290,291,360],[1,2,
3,4,5,6,11,12,19,21,22,24,30,33,38,42,61,65,66,67,78,110,118,119,120,125,142,
147,202,205,206,207,218,274,361],[1,2,3,4,5,7,8,9,11,19,20,22,23,24,25,26,27,
29,45,53,55,59,60,61,63,64,73,113,115,132,133,135,136,137,139,141,197,203,204,
213,214,283,284,362],[1,2,3,4,5,7,8,9,11,12,13,19,22,23,26,29,33,36,45,53,55,
59,60,61,65,69,71,89,115,132,136,141,142,143,197,201,219,224,283,363],[1,2,3,
4,5,7,8,12,14,19,20,22,23,24,25,26,30,32,37,45,60,63,64,66,68,84,113,115,118,
121,122,126,128,144,203,209,210,211,228,281,364],[1,2,3,8,9,10,11,12,13,15,27,
28,29,33,36,38,39,40,51,73,80,82,88,89,171,293,365],[1,2,4,5,6,7,16,19,21,24,
42,43,46,47,48,99,101,102,110,151,152,154,229,235,295,366],[1,3,4,5,6,7,17,18,
23,42,43,46,47,48,98,103,107,109,151,152,154,230,231,242,295,367],[1,2,4,5,6,
7,16,20,21,42,43,46,47,48,97,102,111,151,152,154,232,233,295,368],[1,2,4,5,6,
7,16,19,20,24,25,42,43,44,45,48,49,97,99,100,101,113,151,155,157,229,236,296,
369],[1,2,5,6,7,16,21,24,25,43,44,46,50,100,101,102,112,151,153,158,229,237,
297,370],[1,3,4,5,6,7,17,22,23,26,42,43,44,45,48,49,98,103,104,105,115,151,
155,157,230,238,296,371],[1,3,4,5,6,7,17,18,22,23,26,42,43,44,45,47,48,50,98,
103,104,105,107,115,152,155,158,231,238,299,372],[1,2,4,5,6,7,16,19,20,21,24,
25,42,43,44,45,46,47,48,97,99,100,101,102,110,111,112,113,114,153,154,155,156,
233,234,235,236,237,243,294,373],[1,3,4,5,6,7,17,18,22,23,26,42,43,44,45,46,
47,48,98,103,104,105,106,107,108,109,115,153,154,155,156,238,239,240,241,242,
294,374],[1,2,4,5,6,7,16,20,21,42,43,46,47,48,49,50,97,102,111,116,154,157,
158,159,160,233,244,245,300,375],[1,2,4,5,6,7,19,20,21,24,25,42,43,44,45,48,
49,110,111,112,113,114,116,151,155,157,232,243,244,296,376],[1,3,4,5,7,9,15,
18,22,45,51,53,55,59,72,108,161,197,247,377],[1,3,4,6,7,10,15,17,22,48,51,54,
56,62,72,105,161,198,248,378],[1,2,3,6,8,9,10,11,12,13,16,17,21,27,28,29,30,
33,36,38,39,40,54,57,73,78,80,82,88,89,119,129,130,134,166,171,172,215,254,
301,379],[1,2,3,5,8,9,11,12,14,20,23,24,27,29,30,31,32,34,35,37,53,63,73,74,
75,77,83,84,86,87,121,132,133,135,162,163,165,168,210,213,251,313,380],[1,2,3,
7,8,9,11,12,14,25,26,27,29,30,31,32,34,35,37,55,64,73,74,75,77,83,84,86,87,
122,124,136,137,162,163,165,168,211,212,214,251,314,381],[1,2,3,4,8,9,11,12,
14,19,22,27,29,30,31,32,34,35,37,59,60,61,73,74,75,77,83,84,86,87,118,139,141,
162,163,165,168,204,208,209,251,311,312,382],[1,2,3,5,8,9,10,11,12,13,20,23,
24,27,28,29,30,33,36,38,39,40,53,63,73,78,80,82,88,89,120,132,133,135,166,171,
172,213,254,302,383],[1,2,3,5,8,9,10,11,12,13,20,23,24,27,28,29,30,33,36,38,
39,40,53,63,73,78,80,82,88,89,121,132,133,135,166,171,172,213,254,303,384],[1,
2,3,7,8,9,10,11,12,13,25,26,27,28,29,30,33,36,38,39,40,55,64,73,78,80,82,88,
89,123,136,137,166,171,172,214,254,304,385],[1,2,3,7,8,9,10,11,12,13,25,26,27,
28,29,31,33,34,36,38,39,40,55,56,64,73,79,80,81,82,88,89,124,136,137,138,167,
171,173,214,255,306,386],[1,2,3,6,9,10,11,12,13,14,21,27,28,30,33,35,36,38,54,
70,74,78,80,88,90,93,119,134,166,173,184,220,259,301,387],[1,2,3,5,9,10,11,12,
24,27,28,30,31,33,34,38,53,66,75,76,78,79,80,81,83,85,120,135,166,167,169,170,
176,207,226,256,302,388],[1,2,3,6,9,10,11,12,21,27,28,30,31,33,34,38,54,67,75,
76,78,79,80,81,83,85,119,134,166,167,169,170,176,206,227,256,301,389],[1,2,3,
4,9,10,11,12,19,22,27,28,30,31,33,34,38,61,65,75,76,78,79,80,81,83,85,118,125,
142,147,166,167,169,170,176,205,208,218,256,307,317,322,390],[1,2,3,5,9,10,11,
12,13,14,24,27,28,30,33,35,36,38,53,68,74,78,80,88,90,93,120,135,166,173,184,
225,259,302,391],[1,2,3,4,9,11,12,13,19,22,27,30,31,34,36,59,61,69,75,83,88,
91,92,118,139,143,162,174,175,208,223,252,311,321,392],[1,2,3,5,9,11,14,24,27,
35,41,53,68,74,94,95,96,135,181,225,258,393],[1,2,3,4,9,10,11,12,19,22,27,28,
30,31,33,34,38,59,61,62,65,75,76,78,79,80,81,83,85,118,139,140,142,147,162,
164,169,170,176,205,208,221,253,310,311,317,322,394],[1,2,3,4,8,9,10,11,12,13,
19,22,27,28,29,30,33,36,38,39,40,59,60,61,62,65,69,73,78,80,82,88,89,125,139,
140,141,142,143,147,148,149,166,171,172,204,218,221,222,223,224,254,316,325,
327,395],[1,2,3,5,8,9,11,12,14,20,23,24,27,29,30,31,32,34,35,37,53,63,66,68,
73,74,75,77,83,84,86,87,126,128,132,133,135,144,162,163,165,168,213,225,226,
228,251,319,320,326,396],[1,2,3,6,8,9,10,11,12,13,14,16,17,21,28,29,30,31,32,
33,34,35,36,37,39,40,54,57,67,70,76,77,82,83,84,85,86,87,89,90,91,92,93,127,
129,130,134,145,146,164,165,175,179,180,182,185,215,217,220,227,266,318,328,
329,397],[1,2,3,7,8,9,10,11,12,13,14,18,26,28,29,34,35,36,37,38,39,40,41,55,
58,77,81,82,90,91,96,131,136,177,178,188,216,271,323,398],[1,2,3,7,8,9,11,12,
14,25,26,27,29,34,35,37,55,64,73,74,75,77,136,137,168,177,214,257,323,399],[1,
2,3,7,8,9,11,12,13,14,26,29,31,33,34,35,36,37,41,55,71,77,85,89,91,93,96,136,
177,179,188,219,273,323,400],[1,2,3,4,8,9,10,11,12,13,14,19,22,28,29,30,31,32,
33,34,35,36,37,38,39,40,59,60,61,65,69,76,77,78,79,81,82,83,84,86,87,89,90,91,
92,93,118,141,142,143,165,169,175,178,180,183,185,205,208,209,224,267,312,317,
321,401],[1,2,3,4,8,9,10,11,12,13,14,19,22,28,29,30,31,32,33,34,35,36,37,39,
40,59,60,61,62,69,76,77,82,83,84,85,86,87,89,90,91,92,93,118,140,141,143,148,
149,164,165,175,179,180,182,185,208,209,222,266,310,312,321,402],[1,2,5,6,12,
16,24,30,43,66,101,126,151,229,332,403],[1,2,5,6,12,14,16,24,32,43,66,68,101,
128,151,229,332,333,404],[1,2,3,5,6,7,8,10,13,16,17,18,21,24,25,26,40,43,44,
46,57,58,64,71,100,101,102,104,106,109,112,150,153,190,191,193,199,237,240,
286,330,334,336,405],[1,2,3,5,6,8,12,14,16,17,20,21,23,24,37,43,57,63,66,68,
101,103,111,144,151,194,229,230,232,331,332,333,406],[1,2,4,5,6,7,12,19,20,21,
24,25,30,42,43,44,45,48,65,66,67,110,111,112,113,114,118,119,120,121,122,123,
125,126,127,155,202,243,274,275,276,277,278,279,280,281,282,407],[1,2,3,4,5,6,
7,8,10,13,16,17,18,19,21,22,23,25,26,40,44,45,46,47,48,57,58,60,62,69,99,100,
102,105,106,107,108,109,114,115,148,156,190,191,195,196,199,234,239,241,286,
335,338,339,408],[1,2,3,4,8,9,11,15,19,22,27,29,59,60,61,72,73,139,141,204,
293,409],[1,4,5,6,7,42,43,44,45,46,47,48,49,50,151,152,153,154,155,156,157,
158,159,160,294,295,296,297,298,299,300,410],[1,2,3,8,9,11,12,14,27,29,30,31,
32,34,35,37,73,74,75,77,83,84,86,87,162,163,165,168,177,251,257,345,411],[1,2,
3,8,9,10,11,12,13,14,27,28,29,30,31,32,33,34,35,36,37,38,39,40,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,251,252,253,254,
255,256,259,260,263,264,266,267,268,343,344,346,348,349,412],[1,2,3,8,9,11,12,
14,27,29,30,31,32,34,35,37,41,73,74,75,77,83,84,86,87,94,95,96,162,163,165,
168,181,186,187,188,251,261,262,265,347,413],[1,2,3,8,9,11,12,14,27,29,30,31,
32,34,35,37,41,73,74,75,77,83,84,86,87,94,95,96,162,163,165,168,181,186,187,
188,189,251,258,261,262,265,269,347,350,351,352,414],[1,2,3,8,9,10,11,12,13,
14,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,162,163,164,165,168,169,170,171,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,251,252,253,257,261,
262,263,264,265,266,267,271,273,345,346,347,354,415],[1,2,3,8,9,10,11,12,13,
14,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,162,163,164,165,168,169,170,171,174,
175,176,178,179,180,181,182,183,184,185,186,187,188,251,252,253,261,262,263,
264,265,266,267,270,272,346,347,353,416],[1,2,3,8,9,11,12,14,27,29,30,31,32,
34,35,37,41,73,74,75,77,83,84,86,87,94,95,96,162,163,165,168,177,181,186,187,
188,251,257,261,262,265,345,347,417],[1,2,3,4,5,6,9,10,11,12,19,21,24,27,28,
30,33,38,42,53,54,65,78,80,110,118,119,120,125,134,135,166,205,274,301,302,
307,418],[1,2,3,5,6,7,9,10,11,12,21,24,25,27,28,30,33,38,44,54,55,66,78,80,
112,119,120,123,126,134,137,166,207,277,301,304,308,419],[1,2,3,5,6,9,10,11,
12,20,21,27,28,30,33,38,43,53,54,67,78,80,111,119,121,127,133,134,166,206,276,
301,303,309,420],[1,2,3,4,6,7,9,10,11,12,19,21,25,27,28,30,33,38,48,55,56,65,
67,78,80,114,118,119,122,123,125,127,137,138,166,205,206,278,279,304,305,307,
309,421],[1,2,3,5,6,7,9,10,11,12,21,24,25,27,28,30,33,38,44,53,56,66,67,78,80,
112,119,120,122,123,126,127,135,138,166,206,207,275,277,302,305,308,309,422],[
1,2,3,4,5,7,9,10,11,12,19,20,24,25,27,28,30,33,38,45,53,56,65,66,78,80,113,
118,120,121,122,123,125,126,133,138,166,205,207,280,281,303,305,307,308,423],[
1,2,3,4,5,7,9,10,11,12,19,20,22,24,25,27,28,30,33,38,45,53,55,59,61,62,65,78,
80,113,120,121,123,125,133,135,137,139,140,142,147,166,197,218,221,280,284,
302,303,304,316,424],[1,2,3,4,6,7,9,10,11,12,19,21,22,25,27,28,30,33,38,48,54,
56,59,61,62,65,78,80,114,119,122,123,125,134,138,139,140,142,147,166,198,218,
221,278,285,301,305,316,425],[1,2,3,4,5,6,9,10,11,12,19,21,22,24,27,28,30,33,
38,42,59,61,62,65,66,67,78,80,110,118,119,120,125,126,127,139,140,142,147,166,
202,205,206,207,218,221,274,282,307,308,309,316,361,426],[1,2,3,4,6,7,10,11,
12,19,21,22,25,28,30,31,33,34,48,54,56,61,62,67,76,83,85,114,118,123,124,127,
134,138,140,164,198,208,227,279,285,310,315,318,427],[1,2,3,4,5,7,9,11,12,19,
20,22,24,25,27,30,31,34,45,53,55,59,61,66,75,83,113,118,121,122,124,126,133,
135,137,139,162,197,208,226,281,284,311,313,314,319,428],[1,2,3,4,5,7,8,9,10,
11,12,13,18,19,20,22,23,24,25,26,27,28,29,33,36,38,39,40,45,53,55,58,59,60,61,
62,63,64,65,69,71,73,80,82,88,89,108,113,115,131,132,133,135,136,137,139,140,
141,142,143,147,148,149,150,171,196,197,201,203,204,213,214,216,219,221,222,
223,224,283,284,289,292,324,325,359,362,363,429],[1,2,3,4,5,6,7,8,16,17,18,19,
20,21,23,24,42,43,46,47,48,57,63,97,98,99,101,102,103,107,109,110,111,151,152,
154,190,192,194,229,230,231,232,233,235,242,295,331,337,366,367,368,430],[1,3,
5,6,7,10,17,18,26,43,44,46,50,54,58,104,106,109,151,153,158,191,240,297,330,
431],[1,3,5,6,7,10,17,18,26,43,44,46,47,49,50,56,58,104,106,109,152,153,157,
158,191,240,298,330,432],[1,3,4,5,6,7,10,17,18,22,23,26,42,43,44,45,46,47,48,
58,62,98,103,104,105,106,107,108,109,115,153,154,155,156,191,196,238,239,240,
241,242,294,330,338,374,433],[1,2,4,5,6,7,14,16,19,21,24,42,43,46,47,48,68,70,
99,101,102,110,151,152,154,200,229,235,295,333,366,434],[1,2,4,5,6,7,12,16,19,
21,24,42,43,46,47,48,65,66,67,99,101,102,110,151,152,154,202,229,235,295,332,
366,435],[1,2,3,4,5,6,7,8,16,17,18,19,20,21,22,23,24,25,26,42,43,44,45,46,47,
48,57,60,63,64,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,153,154,155,156,190,192,193,194,195,203,233,234,235,236,237,238,
239,240,241,242,243,294,335,336,337,340,373,374,436],[1,3,4,5,6,7,13,17,18,22,
23,26,42,43,44,45,46,47,48,69,71,98,103,104,105,106,107,108,109,115,153,154,
155,156,199,201,238,239,240,241,242,294,334,339,374,437],[1,2,3,4,5,6,7,8,16,
17,19,20,21,22,23,24,25,26,42,43,44,45,48,49,57,60,63,64,97,98,99,100,101,103,
104,105,110,111,112,113,114,115,116,151,155,157,192,193,194,195,203,229,230,
232,236,238,243,244,296,331,340,369,371,376,438],[1,3,6,7,9,10,13,15,17,18,39,
46,51,54,55,109,129,131,199,247,248,439],[1,2,3,4,6,7,8,10,13,15,16,17,19,21,
22,25,40,48,51,54,56,57,60,62,69,72,99,105,114,117,130,148,161,195,198,248,
250,290,342,378,440],[1,3,4,5,7,9,10,13,15,18,22,23,26,39,45,51,53,55,58,59,
62,69,72,108,115,117,131,149,161,196,197,247,250,289,341,377,441],[1,2,3,5,9,
10,11,12,20,27,28,30,31,33,34,38,53,75,76,78,79,80,81,83,85,121,133,162,164,
166,167,169,170,176,253,256,303,313,343,442],[1,2,3,7,9,10,11,12,25,27,28,30,
31,33,34,38,55,56,75,76,78,79,80,81,83,85,122,123,124,137,138,162,164,166,167,
169,170,176,253,256,304,305,306,314,315,343,443],[1,2,3,4,9,10,11,12,19,22,27,
28,30,31,33,34,38,59,61,62,65,75,76,78,79,80,81,83,85,118,125,139,140,142,147,
162,164,166,167,169,170,176,205,208,218,221,253,256,307,310,311,316,317,322,
343,390,394,444],[1,2,3,5,9,10,11,12,24,27,28,30,31,33,34,38,53,66,75,76,78,
79,80,81,83,85,120,126,135,162,164,166,167,169,170,176,207,226,253,256,302,
308,319,343,388,445],[1,2,3,6,9,10,11,12,21,27,28,30,31,33,34,38,54,67,75,76,
78,79,80,81,83,85,119,127,134,162,164,166,167,169,170,176,206,227,253,256,301,
309,318,343,389,446],[1,2,3,6,8,9,10,11,12,13,14,16,17,21,27,28,29,30,31,33,
34,35,36,37,38,39,40,54,57,67,70,73,74,75,76,77,78,79,80,81,82,83,85,88,89,90,
91,92,93,119,129,130,134,145,166,167,168,169,170,171,172,173,174,176,178,179,
184,185,206,215,220,227,254,255,256,259,260,263,268,301,328,349,379,387,389,
447],[1,2,3,6,9,10,11,12,13,14,21,27,28,30,31,32,33,34,35,36,38,54,67,70,74,
75,76,78,79,80,81,83,85,86,88,90,91,92,93,119,134,146,163,166,167,169,170,172,
173,174,176,180,182,183,184,206,220,227,256,259,260,264,268,301,329,348,387,
389,448],[1,2,3,5,8,9,11,12,14,20,23,24,27,29,34,35,37,41,53,63,66,68,73,74,
75,77,94,95,96,132,133,135,144,168,181,188,189,213,225,226,258,265,269,326,
352,393,449],[1,2,3,5,8,9,11,12,14,20,23,24,27,29,30,31,32,34,35,37,53,63,66,
68,73,74,75,77,83,84,86,87,121,132,133,135,144,162,163,165,168,177,210,213,
225,226,251,257,313,326,345,380,450],[1,2,3,5,9,10,11,12,13,14,24,27,28,30,31,
32,33,34,35,36,38,53,66,68,74,75,76,78,79,80,81,83,85,86,88,90,91,92,93,120,
128,135,163,166,167,169,170,172,173,174,176,180,182,183,184,207,225,226,256,
259,260,264,268,302,320,348,388,391,451],[1,2,3,4,8,9,10,11,12,13,14,19,22,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,59,60,61,62,65,69,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,118,139,140,141,142,143,147,148,149,
162,163,164,165,168,169,170,171,174,175,176,178,179,180,182,183,184,185,204,
205,208,209,221,222,223,224,251,252,253,263,264,266,267,310,311,312,317,321,
322,325,346,382,392,394,401,402,452],[1,2,3,5,9,11,12,14,24,27,32,34,35,41,53,
66,68,74,75,86,94,95,96,128,135,163,181,186,189,225,226,258,261,269,320,351,
393,453],[1,2,3,5,9,11,12,14,24,27,32,34,35,41,53,66,68,74,75,86,94,95,96,128,
135,163,181,187,189,225,226,258,262,269,320,350,393,454],[1,2,3,5,8,9,10,11,
12,13,14,20,23,24,27,28,29,30,31,33,34,35,36,37,38,39,40,53,63,66,68,73,74,75,
76,77,78,79,80,81,82,83,85,88,89,90,91,92,93,120,132,133,135,144,166,167,168,
169,170,171,172,173,174,176,178,179,184,185,207,213,225,226,254,255,256,259,
260,263,268,302,326,349,383,388,391,455],[1,2,3,4,9,10,11,12,13,19,22,27,28,
30,31,33,34,36,38,59,61,62,65,69,75,76,78,79,80,81,83,85,88,91,92,118,139,140,
142,143,147,162,164,169,170,172,173,174,175,176,205,208,221,223,252,253,268,
310,311,317,321,322,327,344,392,394,456],[1,2,3,7,8,9,10,11,12,13,14,18,25,26,
27,28,29,31,33,34,35,36,37,38,39,40,41,55,58,64,71,73,74,75,76,77,79,80,81,82,
85,88,89,90,91,92,93,94,95,96,131,136,137,150,168,170,171,174,177,178,179,181,
184,185,188,214,216,219,257,263,265,271,273,323,324,354,398,399,400,457],[1,4,
5,6,7,15,42,43,44,45,46,47,48,153,154,155,156,294,458],[1,2,3,5,6,8,12,14,16,
17,20,21,23,24,30,32,37,43,57,63,66,68,84,101,103,111,126,128,144,151,194,228,
229,230,232,331,332,333,403,404,406,459],[1,2,3,4,5,6,7,8,12,14,16,17,19,20,
21,22,23,24,25,26,30,32,37,42,43,44,45,48,57,60,63,64,65,66,67,68,70,84,97,98,
99,100,101,103,104,105,110,111,112,113,114,115,118,119,120,121,122,123,125,
126,127,128,144,145,146,155,192,193,194,195,200,202,203,209,210,211,217,228,
236,238,243,274,275,276,277,278,279,280,281,282,287,288,340,355,356,357,358,
364,407,460],[1,2,3,4,8,9,10,11,12,13,15,19,22,27,28,29,33,36,38,39,40,51,59,
60,61,62,65,69,72,73,80,82,88,89,139,140,141,142,143,147,148,149,161,171,204,
221,222,223,224,293,325,365,409,461],[1,2,4,5,6,7,16,19,20,21,24,25,42,43,44,
45,46,47,48,49,50,97,99,100,101,102,110,111,112,113,114,116,151,152,153,154,
155,156,157,158,159,160,232,233,234,235,236,237,243,244,245,294,295,296,297,
298,299,300,368,373,375,376,410,462],[1,3,4,5,6,7,17,18,22,23,26,42,43,44,45,
46,47,48,49,50,98,103,104,105,106,107,108,109,115,151,152,153,154,155,156,157,
158,159,160,230,231,238,239,240,241,242,294,295,296,297,298,299,300,367,371,
372,374,410,463],[1,2,4,5,6,7,16,19,20,21,24,25,42,43,44,45,46,47,48,49,50,97,
99,100,101,102,110,111,112,113,114,151,152,153,154,155,156,157,158,159,160,
229,233,234,235,236,237,243,294,295,296,297,298,299,300,366,369,370,373,410,
464],[1,2,3,8,9,10,11,12,13,14,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,162,
163,164,165,168,169,170,171,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,251,252,253,257,261,262,263,264,265,266,267,271,273,345,346,347,
354,411,415,417,465],[1,2,3,8,9,10,11,12,13,14,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,251,252,253,254,255,256,257,259,260,
261,262,263,264,265,266,267,268,270,271,272,273,343,344,345,346,347,348,349,
353,354,412,415,416,466],[1,2,3,8,9,10,11,12,13,14,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,162,163,164,165,168,169,170,171,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,251,252,253,257,258,261,262,263,264,265,266,
267,269,270,271,272,273,345,346,347,350,351,352,353,354,413,414,415,416,417,
467],[1,2,3,4,5,6,8,9,10,11,12,13,16,17,19,20,21,23,24,27,28,29,30,33,36,38,
39,40,42,53,54,57,63,65,73,78,80,82,88,89,97,98,110,118,119,120,125,129,130,
132,133,134,135,166,171,172,192,205,213,215,254,274,301,302,307,379,383,418,
468],[1,2,3,5,6,7,8,9,10,11,12,13,16,17,21,24,25,26,27,28,29,30,33,36,38,39,
40,44,54,55,57,64,66,73,78,80,82,88,89,100,104,112,119,120,123,126,129,130,
134,136,137,166,171,172,193,207,214,215,254,277,301,304,308,379,385,419,469],[
1,2,3,5,6,8,9,10,11,12,13,16,17,20,21,23,24,27,28,29,30,33,36,38,39,40,43,53,
54,57,63,67,73,78,80,82,88,89,101,103,111,119,121,127,129,130,132,133,134,135,
166,171,172,194,206,213,215,254,276,301,303,309,379,384,420,470],[1,2,3,4,5,6,
9,10,11,12,13,14,19,21,24,27,28,30,33,35,36,38,42,53,54,65,68,70,74,78,80,88,
90,93,110,118,119,120,125,134,135,166,173,184,200,205,220,225,259,274,301,302,
307,387,391,418,471],[1,2,3,4,5,6,9,10,11,12,19,21,22,24,27,28,30,31,33,34,38,
42,53,54,61,65,66,67,75,76,78,79,80,81,83,85,110,118,119,120,125,134,135,142,
147,166,167,169,170,176,202,205,206,207,208,218,226,227,256,274,301,302,307,
317,322,361,388,389,390,418,472],[1,2,3,4,6,7,8,9,10,11,12,13,16,17,19,21,22,
25,27,28,29,30,33,36,38,39,40,48,54,56,57,59,60,61,62,65,69,73,78,80,82,88,89,
99,105,114,119,122,123,125,129,130,134,138,139,140,141,142,143,147,148,149,
166,171,172,195,198,204,215,218,221,222,223,224,254,278,285,290,291,301,305,
316,325,327,360,379,395,425,473],[1,2,3,4,5,7,8,9,10,11,12,13,19,20,22,23,24,
25,26,27,28,29,30,33,36,38,39,40,45,53,55,59,60,61,62,63,64,65,69,73,78,80,82,
88,89,113,115,120,121,123,125,132,133,135,136,137,139,140,141,142,143,147,148,
149,166,171,172,197,203,204,213,214,218,221,222,223,224,254,280,283,284,302,
303,304,316,325,327,362,383,384,385,395,424,474],[1,2,3,4,5,7,8,9,11,12,14,19,
20,22,23,24,25,26,27,29,30,31,32,34,35,37,45,53,55,59,60,61,63,64,66,68,73,74,
75,77,83,84,86,87,113,115,118,121,122,124,126,128,132,133,135,136,137,139,141,
144,162,163,165,168,197,203,204,208,209,210,211,212,213,214,225,226,228,251,
281,283,284,311,312,313,314,319,320,326,362,364,380,381,382,396,428,475],[1,2,
3,4,6,7,8,9,10,11,12,13,14,16,17,19,21,22,25,28,29,30,31,32,33,34,35,36,37,39,
40,48,54,56,57,59,60,61,62,67,69,70,76,77,82,83,84,85,86,87,89,90,91,92,93,99,
105,114,118,123,124,127,129,130,134,138,140,141,143,145,146,148,149,164,165,
175,179,180,182,185,195,198,208,209,215,217,220,222,227,266,279,285,290,291,
310,312,315,318,321,328,329,357,360,397,402,427,476],[1,2,4,5,6,7,12,16,19,20,
24,25,30,42,43,44,45,48,49,66,97,99,100,101,113,118,121,122,126,151,155,157,
229,236,281,296,332,369,403,477],[1,2,5,6,7,12,16,21,24,25,30,43,44,46,50,66,
100,101,102,112,119,120,123,126,151,153,158,229,237,277,297,332,370,403,478],[
1,2,4,5,6,7,12,16,19,21,24,30,42,43,46,47,48,65,66,67,99,101,102,110,125,126,
127,151,152,154,202,229,235,282,295,332,366,403,435,479],[1,2,3,5,6,7,8,10,13,
16,17,18,21,24,25,26,40,43,44,46,50,54,57,58,64,71,100,101,102,104,106,109,
112,130,150,151,153,158,190,191,193,199,229,237,240,286,297,330,334,336,370,
405,431,480],[1,2,4,5,6,7,12,14,16,19,21,24,32,42,43,46,47,48,65,66,67,68,70,
99,101,102,110,128,146,151,152,154,200,202,229,235,287,295,332,333,366,404,
434,435,481],[1,2,3,4,5,6,7,8,12,14,16,17,18,19,20,21,23,24,37,42,43,46,47,48,
57,63,65,66,67,68,70,97,98,99,101,102,103,107,109,110,111,144,145,151,152,154,
190,192,194,200,202,229,230,231,232,233,235,242,288,295,331,332,333,337,366,
367,368,406,430,434,435,482],[1,2,3,4,5,6,7,8,10,13,16,17,18,19,20,21,22,23,
24,25,26,40,42,43,44,45,46,47,48,57,58,60,62,63,64,69,71,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,148,150,153,154,155,156,
190,191,192,193,194,195,196,199,201,203,233,234,235,236,237,238,239,240,241,
242,243,286,292,294,330,334,335,336,337,338,339,340,373,374,405,408,433,436,
437,483],[1,3,7,10,15,18,26,51,52,56,58,246,249,484],[1,2,3,6,7,8,9,10,11,13,
15,16,17,18,21,26,28,29,36,39,40,46,51,54,55,57,58,82,102,106,109,117,129,130,
131,134,136,190,191,199,215,216,247,248,286,341,342,439,485],[1,2,3,4,8,9,11,
12,14,19,22,27,29,30,31,32,34,35,37,59,60,61,73,74,75,77,83,84,86,87,118,139,
141,162,163,165,168,177,204,208,209,251,257,311,312,345,382,411,486],[1,2,3,5,
8,9,10,11,12,13,14,20,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,53,63,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,121,132,133,
135,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,
182,183,184,185,210,213,251,252,253,254,255,256,259,260,263,264,266,267,268,
303,313,343,344,346,348,349,380,384,412,442,487],[1,2,3,7,8,9,10,11,12,13,14,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,55,56,64,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,122,123,124,136,137,138,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,
211,212,214,251,252,253,254,255,256,259,260,263,264,266,267,268,304,305,306,
314,315,343,344,346,348,349,381,385,386,412,443,488],[1,2,3,6,8,9,10,11,12,13,
14,16,17,21,27,28,29,30,31,32,33,34,35,36,37,38,39,40,54,57,67,70,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,119,127,129,130,134,145,
146,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,
182,183,184,185,206,215,217,220,227,251,252,253,254,255,256,259,260,263,264,
266,267,268,301,309,318,328,329,343,344,346,348,349,379,387,389,397,412,446,
447,448,489],[1,2,3,7,8,9,11,12,14,25,26,27,29,30,31,32,34,35,37,55,64,73,74,
75,77,83,84,86,87,122,124,136,137,162,163,165,168,177,211,212,214,251,257,314,
323,345,381,399,411,490],[1,2,3,5,8,9,10,11,12,13,14,20,23,24,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,53,63,66,68,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,120,126,128,132,133,135,144,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,207,213,225,
226,228,251,252,253,254,255,256,259,260,263,264,266,267,268,302,308,319,320,
326,343,344,346,348,349,383,388,391,396,412,445,451,455,491],[1,2,3,4,8,9,10,
11,12,13,14,19,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,59,60,61,62,65,69,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,118,125,139,
140,141,142,143,147,148,149,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,178,179,180,182,183,184,185,204,205,208,209,218,221,222,223,224,
251,252,253,254,255,256,259,260,263,264,266,267,268,307,310,311,312,316,317,
321,322,325,327,343,344,346,348,349,382,390,392,394,395,401,402,412,444,452,
456,492],[1,2,3,5,8,9,11,12,14,20,23,24,27,29,30,31,32,34,35,37,53,63,66,68,
73,74,75,77,83,84,86,87,121,126,128,132,133,135,144,162,163,165,168,177,210,
213,225,226,228,251,257,313,319,320,326,345,380,396,411,450,493],[1,2,3,5,8,9,
11,12,14,20,23,24,27,29,30,31,32,34,35,37,41,53,63,66,68,73,74,75,77,83,84,86,
87,94,95,96,126,128,132,133,135,144,162,163,165,168,181,186,187,188,189,213,
225,226,228,251,258,261,262,265,269,319,320,326,347,350,351,352,393,396,414,
449,453,454,494],[1,2,3,7,8,9,11,12,14,25,26,27,29,30,31,32,34,35,37,41,55,64,
73,74,75,77,83,84,86,87,94,95,96,122,124,136,137,162,163,165,168,181,186,187,
188,211,212,214,251,261,262,265,314,347,381,413,495],[1,3,4,5,6,7,15,17,18,22,
23,26,42,43,44,45,46,47,48,51,98,103,104,105,106,107,108,109,115,153,154,155,
156,238,239,240,241,242,294,374,458,496],[1,2,3,4,5,6,7,9,10,11,12,19,20,21,
22,24,25,27,28,30,33,38,42,43,44,45,48,53,54,55,56,59,61,62,65,66,67,78,80,
110,111,112,113,114,118,119,120,121,122,123,125,126,127,133,134,135,137,138,
139,140,142,147,155,166,197,198,202,205,206,207,218,221,243,274,275,276,277,
278,279,280,281,282,284,285,301,302,303,304,305,307,308,309,316,361,407,418,
419,420,421,422,423,424,425,426,497],[1,2,3,7,8,9,10,11,12,13,15,18,25,26,27,
28,29,30,33,36,38,39,40,51,55,58,64,71,73,78,80,82,88,89,123,131,136,137,150,
166,171,172,214,216,219,247,254,293,304,324,365,385,498],[1,2,3,7,8,9,10,11,
12,13,15,18,25,26,27,28,29,31,33,34,36,38,39,40,51,55,56,58,64,71,73,79,80,81,
82,88,89,124,131,136,137,138,150,167,171,173,214,216,219,249,255,293,306,324,
365,386,499],[1,3,4,5,6,7,10,17,18,22,23,26,42,43,44,45,46,47,48,49,50,54,56,
58,62,98,103,104,105,106,107,108,109,115,151,152,153,154,155,156,157,158,159,
160,191,196,198,238,239,240,241,242,294,295,296,297,298,299,300,330,338,374,
410,431,432,433,500],[1,2,3,4,5,6,7,8,16,17,18,19,20,21,22,23,24,25,26,42,43,
44,45,46,47,48,49,50,57,60,63,64,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,151,152,153,154,155,156,157,158,159,160,190,
192,193,194,195,203,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,294,295,296,297,298,299,300,331,335,336,337,340,366,367,368,369,
370,371,372,373,374,375,376,410,430,436,438,462,463,464,501],[1,2,3,8,9,10,11,
12,13,14,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,270,271,272,273,343,344,345,346,347,348,349,350,351,352,353,354,411,
412,413,414,415,416,417,465,466,467,502],[1,3,4,5,6,7,9,10,13,15,17,18,22,39,
44,45,46,47,48,51,53,54,55,56,59,62,69,72,105,108,109,129,131,149,156,161,197,
198,199,241,247,248,289,291,339,377,378,439,503],[1,2,3,5,6,9,10,11,12,20,21,
27,28,30,31,33,34,38,43,53,54,67,75,76,78,79,80,81,83,85,111,119,121,127,133,
134,162,164,166,167,169,170,176,206,227,253,256,276,301,303,309,313,318,343,
389,420,442,446,504],[1,2,3,5,6,7,9,10,11,12,21,24,25,27,28,30,31,33,34,38,44,
53,54,55,56,66,67,75,76,78,79,80,81,83,85,112,119,120,122,123,124,126,127,134,
135,137,138,162,164,166,167,169,170,176,206,207,226,227,253,256,275,277,301,
302,304,305,306,308,309,314,315,318,319,343,388,389,419,422,443,445,446,505],[
1,2,3,4,5,6,9,10,11,12,19,21,22,24,27,28,30,31,33,34,38,42,53,54,59,61,62,65,
66,67,75,76,78,79,80,81,83,85,110,118,119,120,125,126,127,134,135,139,140,142,
147,162,164,166,167,169,170,176,202,205,206,207,208,218,221,226,227,253,256,
274,282,301,302,307,308,309,310,311,316,317,318,319,322,343,361,388,389,390,
394,418,426,444,445,446,472,506],[1,2,3,4,6,7,9,10,11,12,19,21,22,25,27,28,30,
31,33,34,38,48,54,55,56,59,61,62,65,67,75,76,78,79,80,81,83,85,114,118,119,
122,123,124,125,127,134,137,138,139,140,142,147,162,164,166,167,169,170,176,
198,205,206,208,218,221,227,253,256,278,279,285,301,304,305,306,307,309,310,
311,314,315,316,317,318,322,343,389,390,394,421,425,427,443,444,446,507],[1,2,
3,4,5,7,9,10,11,12,19,20,22,24,25,27,28,30,31,33,34,38,45,53,55,56,59,61,62,
65,66,75,76,78,79,80,81,83,85,113,118,120,121,122,123,124,125,126,133,135,137,
138,139,140,142,147,162,164,166,167,169,170,176,197,205,207,208,218,221,226,
253,256,280,281,284,302,303,304,305,306,307,308,310,311,313,314,315,316,317,
319,322,343,388,390,394,423,424,428,442,443,444,445,508],[1,2,3,5,9,10,11,12,
20,27,28,30,31,33,34,38,49,53,75,76,78,79,80,81,83,85,116,121,133,162,164,166,
167,169,170,176,253,256,303,313,343,442,509],[1,2,3,4,5,6,9,10,11,12,13,14,19,
21,22,24,27,28,30,31,32,33,34,35,36,38,42,53,54,61,65,66,67,68,70,74,75,76,78,
79,80,81,83,85,86,88,90,91,92,93,110,118,119,120,125,128,134,135,142,146,147,
163,166,167,169,170,172,173,174,176,180,182,183,184,200,202,205,206,207,208,
218,220,225,226,227,256,259,260,264,268,274,287,301,302,307,317,320,322,329,
348,361,387,388,389,390,391,418,448,451,471,472,510],[1,2,3,4,5,6,8,9,10,11,
12,13,14,16,17,19,20,21,22,23,24,27,28,29,30,31,33,34,35,36,37,38,39,40,42,53,
54,57,61,63,65,66,67,68,70,73,74,75,76,77,78,79,80,81,82,83,85,88,89,90,91,92,
93,97,98,110,118,119,120,125,129,130,132,133,134,135,142,144,145,147,166,167,
168,169,170,171,172,173,174,176,178,179,184,185,192,200,202,205,206,207,208,
213,215,218,220,225,226,227,254,255,256,259,260,263,268,274,288,301,302,307,
317,322,326,328,349,361,379,383,387,388,389,390,391,418,447,455,468,471,472,
511],[1,2,3,8,9,11,12,14,15,27,29,30,31,32,34,35,37,73,74,75,77,83,84,86,87,
162,163,165,168,177,251,257,293,345,411,512],[1,2,3,4,5,6,7,8,12,14,16,17,18,
19,20,21,23,24,30,32,37,42,43,46,47,48,57,63,65,66,67,68,70,84,97,98,99,101,
102,103,107,109,110,111,125,126,127,128,144,145,146,151,152,154,190,192,194,
200,202,217,228,229,230,231,232,233,235,242,282,287,288,295,331,332,333,337,
358,366,367,368,403,404,406,430,434,435,459,479,481,482,513],[1,2,3,4,5,6,7,8,
12,14,16,17,19,20,21,22,23,24,25,26,30,32,37,42,43,44,45,48,49,57,60,63,64,66,
68,84,97,98,99,100,101,103,104,105,110,111,112,113,114,115,116,118,121,122,
126,128,144,151,155,157,192,193,194,195,203,209,210,211,228,229,230,232,236,
238,243,244,281,296,331,332,333,340,364,369,371,376,403,404,406,438,459,477,
514],[1,2,3,7,8,9,10,11,12,13,14,18,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,55,58,64,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,122,124,131,136,137,150,162,163,164,165,168,169,170,171,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,211,212,214,216,219,
251,252,253,257,261,262,263,264,265,266,267,271,273,314,323,324,345,346,347,
354,381,398,399,400,411,415,417,457,465,490,515],[1,2,3,4,8,9,10,11,12,13,14,
19,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,59,60,61,62,65,69,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,118,139,140,
141,142,143,147,148,149,162,163,164,165,168,169,170,171,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,204,205,208,209,221,222,223,224,251,
252,253,257,261,262,263,264,265,266,267,271,273,310,311,312,317,321,322,325,
345,346,347,354,382,392,394,401,402,411,415,417,452,465,486,516],[1,2,3,5,8,9,
10,11,12,13,14,20,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,53,63,66,
68,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
121,132,133,135,144,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,210,213,225,226,251,252,
253,254,255,256,257,259,260,261,262,263,264,265,266,267,268,270,271,272,273,
303,313,326,343,344,345,346,347,348,349,353,354,380,384,412,415,416,442,450,
466,487,517],[1,3,4,5,6,7,13,15,17,18,22,23,26,42,43,44,45,46,47,48,51,69,71,
98,103,104,105,106,107,108,109,115,117,153,154,155,156,199,201,238,239,240,
241,242,294,334,339,374,437,458,496,518],[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,
19,20,21,22,23,24,25,26,27,28,29,30,33,36,38,39,40,42,43,44,45,48,53,54,55,56,
57,59,60,61,62,63,64,65,66,67,69,73,78,80,82,88,89,97,98,99,100,101,103,104,
105,110,111,112,113,114,115,118,119,120,121,122,123,125,126,127,129,130,132,
133,134,135,136,137,138,139,140,141,142,143,147,148,149,155,166,171,172,192,
193,194,195,197,198,202,203,204,205,206,207,213,214,215,218,221,222,223,224,
236,238,243,254,274,275,276,277,278,279,280,281,282,283,284,285,290,291,301,
302,303,304,305,307,308,309,316,325,327,340,360,361,362,379,383,384,385,395,
407,418,419,420,421,422,423,424,425,426,468,469,470,473,474,497,519],[1,2,4,5,
6,7,12,16,19,20,21,24,25,30,42,43,44,45,46,47,48,49,50,65,66,67,97,99,100,101,
102,110,111,112,113,114,118,119,120,121,122,123,125,126,127,151,152,153,154,
155,156,157,158,159,160,202,229,233,234,235,236,237,243,274,275,276,277,278,
279,280,281,282,294,295,296,297,298,299,300,332,366,369,370,373,403,407,410,
435,464,477,478,479,520],[1,2,3,4,5,6,7,8,10,13,16,17,18,19,20,21,22,23,24,25,
26,40,42,43,44,45,46,47,48,49,50,54,56,57,58,60,62,63,64,69,71,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,130,148,150,151,
152,153,154,155,156,157,158,159,160,190,191,192,193,194,195,196,198,199,201,
203,229,233,234,235,236,237,238,239,240,241,242,243,286,290,292,294,295,296,
297,298,299,300,330,334,335,336,337,338,339,340,366,369,370,373,374,405,408,
410,431,432,433,436,437,464,480,483,500,521],[1,2,3,4,5,6,7,8,9,10,11,13,15,
16,17,18,19,21,22,23,25,26,28,29,36,39,40,44,45,46,47,48,51,53,54,55,56,57,58,
59,60,61,62,69,72,82,99,100,102,105,106,107,108,109,114,115,117,129,130,131,
132,134,136,138,140,141,143,148,149,156,161,190,191,195,196,197,198,199,215,
216,222,234,239,241,247,248,250,283,285,286,289,290,291,335,338,339,341,342,
359,360,377,378,408,439,440,441,485,503,522],[1,2,3,4,5,6,8,9,10,11,12,13,14,
16,17,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,53,54,57,
59,61,62,63,65,66,67,68,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,97,98,110,118,119,120,125,126,127,128,129,130,132,133,134,135,139,
140,142,144,145,146,147,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,178,179,180,182,183,184,185,192,200,202,205,206,207,208,213,215,217,
218,220,221,225,226,227,228,251,252,253,254,255,256,259,260,263,264,266,267,
268,274,282,287,288,301,302,307,308,309,310,311,316,317,318,319,320,322,326,
328,329,343,344,346,348,349,358,361,379,383,387,388,389,390,391,394,396,397,
412,418,426,444,445,446,447,448,451,455,468,471,472,489,491,506,510,511,523],[
1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,19,21,22,25,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,48,54,55,56,57,59,60,61,62,65,67,69,70,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,99,105,114,118,119,122,123,124,125,127,
129,130,134,137,138,139,140,141,142,143,145,146,147,148,149,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,195,
198,204,205,206,208,209,215,217,218,220,221,222,223,224,227,251,252,253,254,
255,256,259,260,263,264,266,267,268,278,279,285,290,291,301,304,305,306,307,
309,310,311,312,314,315,316,317,318,321,322,325,327,328,329,343,344,346,348,
349,357,360,379,382,387,389,390,392,394,395,397,401,402,412,421,425,427,443,
444,446,447,448,452,456,473,476,489,492,507,524],[1,2,3,5,6,7,8,9,10,11,12,13,
14,16,17,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,44,53,54,55,56,
57,64,66,67,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
100,104,112,119,120,122,123,124,126,127,129,130,134,135,136,137,138,145,146,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,182,
183,184,185,193,206,207,211,212,214,215,217,220,226,227,251,252,253,254,255,
256,259,260,263,264,266,267,268,275,277,301,302,304,305,306,308,309,314,315,
318,319,328,329,343,344,346,348,349,356,379,381,385,386,387,388,389,397,412,
419,422,443,445,446,447,448,469,488,489,505,525],[1,2,3,5,6,8,9,10,11,12,13,
14,16,17,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,53,54,57,63,
67,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,101,103,
111,119,121,127,129,130,132,133,134,135,145,146,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,194,206,210,213,
215,217,220,227,251,252,253,254,255,256,259,260,263,264,266,267,268,276,301,
303,309,313,318,328,329,343,344,346,348,349,355,379,380,384,387,389,397,412,
420,442,446,447,448,470,487,489,504,526],[1,2,3,4,5,7,8,9,11,12,14,19,20,22,
23,24,25,26,27,29,30,31,32,34,35,37,45,53,55,59,60,61,63,64,66,68,73,74,75,77,
83,84,86,87,113,115,118,121,122,124,126,128,132,133,135,136,137,139,141,144,
162,163,165,168,177,197,203,204,208,209,210,211,212,213,214,225,226,228,251,
257,281,283,284,311,312,313,314,319,320,323,326,345,362,364,380,381,382,396,
399,411,428,450,475,486,490,493,527],[1,2,3,4,5,7,8,9,10,11,12,13,14,19,20,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,53,55,56,59,60,61,62,
63,64,65,66,68,69,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,113,115,118,120,121,122,123,124,125,126,128,132,133,135,136,137,138,139,
140,141,142,143,144,147,148,149,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,178,179,180,182,183,184,185,197,203,204,205,207,208,209,210,
211,212,213,214,218,221,222,223,224,225,226,228,251,252,253,254,255,256,259,
260,263,264,266,267,268,280,281,283,284,302,303,304,305,306,307,308,310,311,
312,313,314,315,316,317,319,320,321,322,325,326,327,343,344,346,348,349,362,
364,380,381,382,383,384,385,386,388,390,391,392,394,395,396,401,402,412,423,
424,428,442,443,444,445,451,452,455,456,474,475,487,488,491,492,508,528],[1,2,
3,8,9,10,11,12,13,14,15,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51,73,74,
75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,162,163,164,
165,168,169,170,171,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,251,252,253,257,261,262,263,264,265,266,267,271,273,293,345,346,347,354,
365,411,415,417,465,512,529],[1,2,3,4,5,7,8,9,10,11,12,13,15,18,19,20,22,23,
24,25,26,27,28,29,30,33,36,38,39,40,45,51,53,55,58,59,60,61,62,63,64,65,69,71,
72,73,78,80,82,88,89,108,113,115,120,121,123,125,131,132,133,135,136,137,139,
140,141,142,143,147,148,149,150,161,166,171,172,196,197,201,203,204,213,214,
216,218,219,221,222,223,224,247,254,280,283,284,289,292,293,302,303,304,316,
324,325,327,359,362,363,365,377,383,384,385,395,409,424,429,461,474,498,530],[
1,2,3,7,8,9,10,11,12,13,14,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
55,56,64,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,122,123,124,136,137,138,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,211,212,214,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,304,305,306,314,315,323,343,344,345,346,347,348,349,350,351,
352,353,354,381,385,386,399,411,412,413,414,415,416,417,443,465,466,467,488,
490,495,502,531],[1,2,3,5,8,9,10,11,12,13,14,20,23,24,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,53,63,66,68,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,120,121,126,128,132,133,135,144,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,207,210,213,225,226,228,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,302,308,313,319,
320,326,343,344,345,346,347,348,349,350,351,352,353,354,380,383,388,391,393,
396,411,412,413,414,415,416,417,445,449,450,451,453,454,455,465,466,467,491,
493,494,502,532],[1,2,3,5,8,9,10,11,12,13,14,20,23,24,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,53,63,66,68,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,121,126,128,132,133,135,144,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,210,213,225,226,228,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,303,313,319,320,326,343,
344,345,346,347,348,349,350,351,352,353,354,380,384,396,411,412,413,414,415,
416,417,442,450,465,466,467,487,493,502,517,533],[1,2,3,4,8,9,10,11,12,13,14,
19,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,59,60,61,62,65,69,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,118,125,139,
140,141,142,143,147,148,149,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,204,205,208,
209,218,221,222,223,224,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,307,310,311,312,316,317,321,322,325,
327,343,344,345,346,347,348,349,350,351,352,353,354,382,390,392,394,395,401,
402,411,412,413,414,415,416,417,444,452,456,465,466,467,486,492,502,516,534],[
1,2,3,5,6,9,10,11,12,20,21,27,28,30,31,33,34,38,43,53,54,67,75,76,78,79,80,81,
83,85,111,119,121,127,133,134,151,162,164,166,167,169,170,176,206,227,232,253,
256,276,301,303,309,313,318,343,389,420,442,446,504,535],[1,2,3,4,5,6,7,9,10,
11,12,19,20,21,22,24,25,27,28,30,31,33,34,38,42,43,44,45,48,53,54,55,56,59,61,
62,65,66,67,75,76,78,79,80,81,83,85,110,111,112,113,114,118,119,120,121,122,
123,124,125,126,127,133,134,135,137,138,139,140,142,147,155,162,164,166,167,
169,170,176,197,198,202,205,206,207,208,218,221,226,227,243,253,256,274,275,
276,277,278,279,280,281,282,284,285,301,302,303,304,305,306,307,308,309,310,
311,313,314,315,316,317,318,319,322,343,361,388,389,390,394,407,418,419,420,
421,422,423,424,425,426,427,428,442,443,444,445,446,472,497,504,505,506,507,
508,536],[1,2,3,5,6,9,10,11,12,20,21,27,28,30,31,33,34,38,43,49,53,54,67,75,
76,78,79,80,81,83,85,111,116,119,121,127,133,134,157,162,164,166,167,169,170,
176,206,227,244,253,256,276,301,303,309,313,318,343,389,420,442,446,504,509,
537],[1,2,3,4,8,9,11,12,14,15,19,22,27,29,30,31,32,34,35,37,59,60,61,72,73,74,
75,77,83,84,86,87,118,139,141,162,163,165,168,177,204,208,209,251,257,293,311,
312,345,382,409,411,486,512,538],[1,2,3,4,5,6,7,8,12,14,16,17,18,19,20,21,22,
23,24,25,26,30,32,37,42,43,44,45,46,47,48,49,50,57,60,63,64,65,66,67,68,70,84,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
118,119,120,121,122,123,125,126,127,128,144,145,146,151,152,153,154,155,156,
157,158,159,160,190,192,193,194,195,200,202,203,209,210,211,217,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,274,275,276,277,
278,279,280,281,282,287,288,294,295,296,297,298,299,300,331,332,333,335,336,
337,340,355,356,357,358,364,366,367,368,369,370,371,372,373,374,375,376,403,
404,406,407,410,430,434,435,436,438,459,460,462,463,464,477,478,479,481,482,
501,513,514,520,539],[1,2,3,4,5,7,8,9,10,11,12,13,14,18,19,20,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,45,53,55,58,59,60,61,62,63,64,65,
66,68,69,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,108,113,115,118,121,122,124,126,128,131,132,133,135,136,137,139,140,141,
142,143,144,147,148,149,150,162,163,164,165,168,169,170,171,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,196,197,201,203,204,205,208,209,
210,211,212,213,214,216,219,221,222,223,224,225,226,228,251,252,253,257,261,
262,263,264,265,266,267,271,273,281,283,284,289,292,310,311,312,313,314,317,
319,320,321,322,323,324,325,326,345,346,347,354,359,362,363,364,380,381,382,
392,394,396,398,399,400,401,402,411,415,417,428,429,450,452,457,465,475,486,
490,493,515,516,527,540],[1,3,4,5,6,7,10,15,17,18,22,23,26,42,43,44,45,46,47,
48,49,50,51,54,56,58,62,98,103,104,105,106,107,108,109,115,151,152,153,154,
155,156,157,158,159,160,191,196,198,230,231,238,239,240,241,242,248,249,294,
295,296,297,298,299,300,330,338,367,371,372,374,410,431,432,433,458,463,496,
500,541],[1,2,3,5,6,8,9,10,11,12,13,14,16,17,20,21,23,24,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,43,53,54,57,63,67,70,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,101,103,111,119,121,127,129,130,132,133,134,135,
145,146,151,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,
179,180,182,183,184,185,194,206,210,213,215,217,220,227,229,230,232,251,252,
253,254,255,256,259,260,263,264,266,267,268,276,301,303,309,313,318,328,329,
331,343,344,346,348,349,355,379,380,384,387,389,397,412,420,442,446,447,448,
470,487,489,504,526,535,542],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,48,53,54,
55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,97,98,99,100,101,103,104,105,110,111,112,113,
114,115,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,155,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,178,179,180,182,183,184,185,192,
193,194,195,197,198,200,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,217,218,220,221,222,223,224,225,226,227,228,236,238,243,251,252,253,254,
255,256,259,260,263,264,266,267,268,274,275,276,277,278,279,280,281,282,283,
284,285,287,288,290,291,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,325,326,327,328,329,340,343,344,346,348,
349,355,356,357,358,360,361,362,364,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,394,395,396,397,401,402,407,412,418,419,420,421,422,423,424,
425,426,427,428,442,443,444,445,446,447,448,451,452,455,456,460,468,469,470,
471,472,473,474,475,476,487,488,489,491,492,497,504,505,506,507,508,510,511,
519,523,524,525,526,528,536,543],[1,2,3,4,8,9,10,11,12,13,14,15,19,22,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,51,59,60,61,62,65,69,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,118,139,140,141,142,
143,147,148,149,161,162,163,164,165,168,169,170,171,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,204,205,208,209,221,222,223,224,251,252,
253,257,261,262,263,264,265,266,267,271,273,293,310,311,312,317,321,322,325,
345,346,347,354,365,382,392,394,401,402,409,411,415,417,452,461,465,486,512,
516,529,538,544],[1,2,3,4,5,7,8,9,10,11,12,13,14,19,20,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,45,53,55,56,59,60,61,62,63,64,65,66,68,
69,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
113,115,118,120,121,122,123,124,125,126,128,132,133,135,136,137,138,139,140,
141,142,143,144,147,148,149,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,197,203,204,
205,207,208,209,210,211,212,213,214,218,221,222,223,224,225,226,228,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,280,281,283,284,302,303,304,305,306,307,308,310,311,312,313,314,315,
316,317,319,320,321,322,323,325,326,327,343,344,345,346,347,348,349,350,351,
352,353,354,362,364,380,381,382,383,384,385,386,388,390,391,392,393,394,395,
396,399,401,402,411,412,413,414,415,416,417,423,424,428,442,443,444,445,449,
450,451,452,453,454,455,456,465,466,467,474,475,486,487,488,490,491,492,493,
494,495,502,508,516,517,527,528,531,532,533,534,545],[1,2,3,4,5,6,7,8,10,13,
15,16,17,18,19,20,21,22,23,24,25,26,40,42,43,44,45,46,47,48,49,50,51,54,56,57,
58,60,62,63,64,69,71,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,130,148,150,151,152,153,154,155,156,157,158,159,160,
190,191,192,193,194,195,196,198,199,201,203,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,248,249,286,290,292,294,295,296,297,298,
299,300,330,331,334,335,336,337,338,339,340,342,366,367,368,369,370,371,372,
373,374,375,376,405,408,410,430,431,432,433,436,437,438,458,462,463,464,480,
483,496,500,501,518,521,541,546],[1,2,3,4,5,6,7,9,10,11,12,19,20,21,22,24,25,
27,28,30,31,33,34,38,42,43,44,45,48,49,53,54,55,56,59,61,62,65,66,67,75,76,78,
79,80,81,83,85,110,111,112,113,114,116,118,119,120,121,122,123,124,125,126,
127,133,134,135,137,138,139,140,142,147,151,155,157,162,164,166,167,169,170,
176,197,198,202,205,206,207,208,218,221,226,227,232,243,244,253,256,274,275,
276,277,278,279,280,281,282,284,285,296,301,302,303,304,305,306,307,308,309,
310,311,313,314,315,316,317,318,319,322,343,361,376,388,389,390,394,407,418,
419,420,421,422,423,424,425,426,427,428,442,443,444,445,446,472,497,504,505,
506,507,508,509,535,536,537,547],[1,2,3,5,6,8,9,10,11,12,13,14,16,17,20,21,23,
24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,53,54,57,63,66,67,68,70,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,101,103,
111,119,121,127,129,130,132,133,134,135,144,145,146,151,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,194,206,210,213,215,217,220,225,226,227,229,230,232,251,252,253,
254,255,256,257,259,260,261,262,263,264,265,266,267,268,270,271,272,273,276,
301,303,309,313,318,326,328,329,331,332,333,343,344,345,346,347,348,349,353,
354,355,379,380,384,387,389,397,406,412,415,416,420,442,446,447,448,450,466,
470,487,489,504,517,526,535,542,548],[1,2,3,7,8,9,10,11,12,13,14,15,18,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51,55,56,58,64,71,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,122,123,124,131,136,
137,138,150,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,211,212,214,216,219,247,249,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,293,304,305,306,314,315,323,324,343,344,345,346,347,348,349,
350,351,352,353,354,365,381,385,386,398,399,400,411,412,413,414,415,416,417,
443,457,465,466,467,488,490,495,498,499,502,512,515,529,531,549],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,42,43,44,45,48,49,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,
69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,97,98,99,
100,101,103,104,105,110,111,112,113,114,115,116,118,119,120,121,122,123,124,
125,126,127,128,129,130,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146,147,148,149,151,155,157,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,178,179,180,182,183,184,185,192,193,194,195,197,198,200,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,217,218,220,221,222,223,
224,225,226,227,228,229,230,232,236,238,243,244,251,252,253,254,255,256,259,
260,263,264,266,267,268,274,275,276,277,278,279,280,281,282,283,284,285,287,
288,290,291,296,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,325,326,327,328,329,331,340,343,344,346,348,349,
355,356,357,358,360,361,362,364,369,371,376,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,394,395,396,397,401,402,407,412,418,419,420,421,422,
423,424,425,426,427,428,438,442,443,444,445,446,447,448,451,452,455,456,460,
468,469,470,471,472,473,474,475,476,487,488,489,491,492,497,504,505,506,507,
508,509,510,511,519,523,524,525,526,528,535,536,537,542,543,547,550],[1,2,3,5,
6,7,8,9,10,11,12,13,15,16,17,18,21,24,25,26,27,28,29,30,33,36,38,39,40,43,44,
46,50,51,54,55,57,58,64,66,71,73,78,80,82,88,89,100,101,102,104,106,109,112,
117,119,120,123,126,129,130,131,134,136,137,150,151,153,158,166,171,172,190,
191,193,199,207,214,215,216,219,229,237,240,247,248,254,277,286,293,297,301,
304,308,324,330,332,334,336,341,342,365,370,379,385,403,405,419,431,439,469,
478,480,485,498,551],[1,2,3,5,6,8,9,10,11,12,13,14,16,17,20,21,23,24,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,43,53,54,57,63,66,67,68,70,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,101,103,111,119,121,
126,127,128,129,130,132,133,134,135,144,145,146,151,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,194,206,210,213,215,217,220,225,226,227,228,229,230,232,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,276,301,303,309,313,318,319,320,326,328,329,331,332,333,343,344,345,
346,347,348,349,350,351,352,353,354,355,379,380,384,387,389,396,397,403,404,
406,411,412,413,414,415,416,417,420,442,446,447,448,450,459,465,466,467,470,
487,489,493,502,504,517,526,533,535,542,548,552],[1,2,3,4,5,7,8,9,10,11,12,13,
14,15,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,45,
51,53,55,56,58,59,60,61,62,63,64,65,66,68,69,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,108,113,115,118,120,121,122,123,
124,125,126,128,131,132,133,135,136,137,138,139,140,141,142,143,144,147,148,
149,150,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,196,197,201,203,204,205,207,
208,209,210,211,212,213,214,216,218,219,221,222,223,224,225,226,228,247,249,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,280,281,283,284,289,292,293,302,303,304,305,306,307,308,310,
311,312,313,314,315,316,317,319,320,321,322,323,324,325,326,327,343,344,345,
346,347,348,349,350,351,352,353,354,359,362,363,364,365,377,380,381,382,383,
384,385,386,388,390,391,392,393,394,395,396,398,399,400,401,402,409,411,412,
413,414,415,416,417,423,424,428,429,442,443,444,445,449,450,451,452,453,454,
455,456,457,461,465,466,467,474,475,486,487,488,490,491,492,493,494,495,498,
499,502,508,512,515,516,517,527,528,529,530,531,532,533,534,538,540,544,545,
549,553],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,33,36,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,69,71,72,73,78,80,82,88,89,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,117,118,119,120,121,122,123,
125,126,127,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,166,171,172,190,191,
192,193,194,195,196,197,198,199,201,202,203,204,205,206,207,213,214,215,216,
218,219,221,222,223,224,229,233,234,235,236,237,238,239,240,241,242,243,247,
248,250,254,274,275,276,277,278,279,280,281,282,283,284,285,286,289,290,291,
292,293,294,295,296,297,298,299,300,301,302,303,304,305,307,308,309,316,324,
325,327,330,332,334,335,336,337,338,339,340,341,342,359,360,361,362,363,365,
366,369,370,373,374,377,378,379,383,384,385,395,403,405,407,408,409,410,418,
419,420,421,422,423,424,425,426,429,431,432,433,435,436,437,439,440,441,461,
464,468,469,470,473,474,477,478,479,480,483,485,497,498,500,503,519,520,521,
522,530,551,554],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,53,54,55,56,
57,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,103,104,105,110,111,112,113,
114,115,116,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,151,155,157,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,192,193,194,195,197,198,200,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,217,218,220,221,222,223,224,225,226,
227,228,229,230,232,236,238,243,244,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,287,288,290,291,296,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,325,326,327,328,
329,331,332,333,340,343,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,360,361,362,364,369,371,376,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,396,397,399,401,402,403,404,406,407,411,412,413,
414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,438,442,443,444,
445,446,447,448,449,450,451,452,453,454,455,456,459,460,465,466,467,468,469,
470,471,472,473,474,475,476,477,486,487,488,489,490,491,492,493,494,495,497,
502,504,505,506,507,508,509,510,511,514,516,517,519,523,524,525,526,527,528,
531,532,533,534,535,536,537,542,543,545,547,548,550,552,555],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,
356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,
432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,
451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,
470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,
489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,548,549,550,551,552,553,554,555,556]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,3,1],[1,3,1],[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],[1,1,1,1],[1,1,
1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,6,4,3,
1],[1,1,6,4,3,1],[1,3,4,3,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,2,1],[1,1,2,1,2,
1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,2,1,1,1,1,1],[1,1,4,2,1,1],[1,
5,1,1,1,1],[1,2,3,1,1,1,1],[1,1,1,1],[1,2,1,1,1],[1,1,3,1],[1,2,1,1,1],[1,1,2,
1,1],[1,2,2,1],[1,1,3,1],[1,1,1,2,1],[1,1,1],[1,1,1],[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],[1,4,3,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,
3,1,1,3,1],[1,2,1,1,1,2,1,1],[1,1,2,1,1,1,2,1],[1,3,1,1,3,1],[1,2,1,1,1,1,1,1,
1],[1,2,1,1,1,2,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[
1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1],[1,5,10,10,10,15,5,10,1],[
1,1,6,4,3,4,1,6,1],[1,1,6,4,3,4,1,6,1],[1,1,6,4,3,4,1,3,3,1],[1,3,4,3,1,3,2,2,
1,1,1,4,1],[1,1,6,3,4,1,3,3,1],[1,1,6,3,4,1,1,2,3,1],[1,1,10,4,4,5,2,1,1,1,4,
1],[1,1,10,8,5,2,2,1,4,1],[1,3,8,3,1,4,5,2,1,1,1,2,2,1],[1,1,2,1,6,1,3,3,1],[
1,2,1,1,3,3,1,3,3,1],[1,1,2,1,6,4,2,1,1],[1,1,2,1,2,4,4,1,2,1],[1,2,1,1,3,3,1,
3,3,1],[1,1,6,4,3,4,1,2,1],[1,3,4,3,1,3,2,2,1,1,1,1],[1,1,6,4,3,2,2,1,1,1,1],[
1,1,2,1,2,4,1,2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,2,1,2,
1],[1,1,2,1,2,1,2,1],[1,1,2,1,2,1,2,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,
1],[1,3,1,1,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,3,1,3,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,9,2,2,6,6,1,1],[1,1,2,1,1,2,1,1,1,
1],[1,1,1,3,1,3,1,1],[1,1,2,1,1,1,2,1,1,1],[1,1,1,2,1,1,1,1,1,1,1],[1,1,1,1,2,
1,1,2,1,1],[1,1,1,2,1,1,2,1,1,1],[1,1,1,1,1,1],[1,5,5,1,1,1],[1,1,4,3,4,1,1],[
1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,1,3,1,1,3,1],[1,1,1,3,1,1,3,1],[1,1,
1,1,2,1,1,1,2,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,
3,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,
1,6,4,4,3,4,1,1,1],[1,3,4,4,3,1,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,1,6,4,4,3,
4,1,1,1],[1,1,6,1,4,3,1,6,1,4,3,1],[1,1,6,1,4,3,1,6,1,3,4,1],[1,3,4,1,3,1,3,3,
4,1,1,3,3,1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,2,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,4,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,1,1,6,1,3,1,2,1],[1,1,
4,1,2,1,1,4,1,2,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[
1,2,7,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,12,4,1],[1,1,3,9,1,3,1],[1,4,6,3,4,6,3,
1],[1,2,1,4,6,1,1,3,2,6,1],[1,3,4,3,3,3,1,3,3,3,1],[1,1,4,2,6,4,2,1,4,2,1],[1,
1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,1,1,2,1],[1,2,1,1,1,1,2,1],[1,5,1,1,5,1,1,1],[
1,1,6,4,3,12,1,4,12,18,3,12,1],[1,1,6,4,3,4,8,1,16,6,12,2,1,12,1],[1,1,6,4,3,
12,1,1,15,9,9,3,3,9,1],[1,3,4,3,1,3,6,6,1,1,3,12,3,3,12,3,1,2,3,6,1],[1,1,18,
12,12,9,6,3,3,2,9,18,6,9,1],[1,1,18,4,20,9,6,1,5,2,3,6,18,6,3,6,1],[1,5,10,10,
10,15,4,4,5,10,6,6,16,1,1,1,12,1],[1,1,14,12,7,8,3,1,3,7,9,12,3,2,6,3,1,1],[1,
1,14,4,8,7,8,1,2,4,6,10,12,1,2,8,2,1,1,1],[1,5,14,10,10,4,17,2,4,5,1,10,1,2,4,
4,4,1,1,2,1,2,1],[1,1,10,4,4,5,2,8,1,1,1,4,4,1,2,1],[1,1,10,4,4,5,2,8,1,1,1,4,
4,1,2,1],[1,1,6,4,3,4,8,1,6,4,1,2,2,2,1],[1,1,2,1,6,8,1,3,3,4,1,3,3,1],[1,1,
10,5,10,1,9,6,9,10,1,9,2,3,1],[1,3,4,3,1,3,6,6,1,3,3,12,3,1],[1,3,12,3,1,8,7,
2,4,2,2,1,1,1,2,4,4,4,4,1,1,2,2,1,1],[1,3,4,3,1,3,6,4,2,1,4,2,1,1,2,4,1,1,2,1,
2,1],[1,1,6,4,3,4,4,4,1,4,3,3,2,2,1,1,2,1,2,1],[1,1,6,4,3,4,1,6,4,1,2,2,2,1],[
1,1,2,1,6,4,4,4,4,2,1,2,2,1,1,1,4,1],[1,1,10,8,5,2,4,4,2,4,1,2,2,4,1,1,4,1,
1],[1,1,10,4,4,5,2,4,4,1,1,1,6,2,4,1,1,1,2,2,1],[1,3,8,3,1,4,5,4,4,2,1,1,3,3,
1,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,4,4,1,2,4,1,2,1],[1,1,2,1,2,4,4,1,2,4,1,
2,1],[1,3,4,3,1,3,2,2,1,1,1,4,4,1,2,1],[1,1,2,1,2,1,6,1,1,1,1],[1,6,9,2,2,9,2,
6,6,6,1,6,2,1,1],[1,15,2,2,9,6,8,6,1,6,2,1,1],[1,4,3,2,1,1,3,1,1,2,3,1,3,1,1,
1,3,1,1,1,1],[1,4,3,2,1,1,3,1,1,1,2,4,3,1,1,3,1,1,1,1],[1,4,3,1,3,3,1,1,1,3,3,
3,1,1,3,1,1,1,1],[1,4,3,1,1,2,3,1,1,4,1,3,2,1,1,3,1,1,1,1],[1,7,1,2,1,3,2,7,2,
1,1,1,3,2,1,1],[1,3,1,8,4,1,3,4,2,1,1,1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,9,2,2,9,
6,6,1,1,1],[1,1,2,1,1,3,2,1,1,1,3,1,1,1],[1,1,1,2,1,3,1,2,1,1,3,1,1,1],[1,1,2,
1,1,1,2,1,1,1,2,1,1,1,1],[1,2,1,1,2,1,1,2,2,1,2,2,2,1,1,1,2,1,2,1,1],[1,5,10,
1,10,10,15,5,10,5,10,10,10,15,1,5,10,1],[1,1,6,4,3,4,4,1,3,3,4,1,1,1],[1,1,6,
4,3,4,4,1,3,3,4,1,1,1],[1,1,6,4,3,4,4,1,3,3,4,1,1,1],[1,1,2,4,1,6,4,8,1,3,3,4,
1,1,1],[1,2,1,4,1,3,3,8,4,1,3,3,4,1,1,1],[1,2,1,4,1,3,3,4,4,4,1,3,3,4,1,1,1],[
1,2,1,4,1,3,3,8,4,1,3,3,4,1,1,1],[1,2,1,4,1,3,3,8,4,1,3,3,4,1,1,1],[1,5,10,4,
10,10,15,4,4,4,5,10,1,4,1,1,1,1,1],[1,5,10,4,10,10,15,8,4,5,10,1,4,1,1,2,1],[
1,7,12,4,9,3,4,9,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,16,4,3,1,12,9,6,8,4,3,
1,3,6,6,1,4,3,2,1,1],[1,4,3,1,3,3,9,1,1,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,6,1,3,4,
1,6,1,3,3,3,4,1,1,3,3,1],[1,3,4,4,3,1,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,4,4,3,6,
6,4,1,3,3,1,4,3,1,1],[1,1,10,1,4,4,5,2,1,10,1,1,1,4,4,5,4,2,1,1,1,1,4,1],[1,3,
8,1,3,1,4,5,2,3,8,1,1,1,2,2,1,3,5,4,2,1,1,1,1,2,2,1],[1,1,6,1,4,3,4,1,6,1,2,4,
3,4,1,1,2,1],[1,3,4,1,3,1,3,2,2,3,4,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,1,6,4,4,3,4,
4,1,6,1,4,1,1,1],[1,1,6,4,4,3,4,4,1,6,1,4,1,1,1],[1,1,6,4,4,3,4,4,1,3,3,1,4,1,
1,1],[1,2,1,1,1,3,3,1,1,1,1,3,3,1,3,3,1,1,3,3,1],[1,9,1,12,12,9,4,12,1,1],[1,
9,1,12,12,9,4,12,1,1],[1,9,1,3,9,3,9,9,1,3,3,9,1,1],[1,1,1,12,1,12,4,4,1,1],[
1,3,2,1,4,6,1,3,9,1,1,3,2,6,1,3,3,1,1],[1,3,1,4,2,6,1,3,3,6,4,2,1,4,2,1,2,1,3,
1,1],[1,3,2,1,4,6,1,6,3,3,1,1,3,2,6,2,1,1,3,1,1],[1,3,3,4,3,3,1,3,3,3,3,3,1,3,
3,3,1,1,1,1,3,1,1],[1,3,4,6,3,1,3,6,3,4,6,3,1,2,1,3,1,1],[1,3,3,4,3,3,1,3,6,3,
3,1,3,3,3,1,1,1,1,3,1,1],[1,3,1,4,2,6,1,3,6,3,4,2,1,4,2,1,2,1,3,1,1],[1,9,4,6,
3,6,6,9,4,6,3,6,6,1,1,1],[1,9,1,4,2,6,6,6,9,4,2,1,4,2,6,6,1,1,1],[1,9,2,1,4,6,
6,6,9,1,1,3,2,6,3,3,6,1,1,1],[1,1,3,4,3,3,3,1,3,3,3,3,1,3,3,3,3,1,3,3,3,1,1],[
1,1,1,3,1,3,1,3,1,3,1,1],[1,3,2,1,1,1,3,1,1,2,1,3,1,1],[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],[1,5,1,5,1,5,1,5,1,
1,1,1],[1,5,10,10,10,15,12,12,5,10,4,12,48,18,18,48,1,3,3,36,12,16,36,48,1,3,
24,3,1],[1,1,6,4,3,12,16,1,4,12,18,8,3,12,4,12,12,1,6,8,1],[1,1,22,4,16,11,20,
1,4,4,36,28,42,40,3,12,8,72,4,6,20,30,1,4,4,6,16,1],[1,5,22,10,18,12,21,6,12,
7,3,10,2,9,6,18,12,12,1,6,9,6,3,6,1,3,3,1],[1,5,22,10,10,20,21,6,12,5,5,10,2,
3,6,6,18,12,12,1,6,3,6,6,3,6,1,3,3,1],[1,1,30,12,48,15,16,3,12,2,18,24,36,60,
3,12,8,72,18,27,6,9,1,9,6,9,6,1],[1,5,10,10,10,15,12,12,5,10,18,18,48,1,3,3,
36,3,4,1],[1,1,6,4,3,4,1,6,12,1,6,6,6,3,1],[1,1,18,12,12,9,6,12,4,3,3,2,9,6,6,
18,1,6,9,3,6,6,1,3,3,1],[1,1,18,4,20,9,6,12,4,1,5,2,3,6,6,6,18,1,6,3,6,3,6,6,
1,1,2,3,1],[1,1,6,4,3,4,8,1,16,6,12,8,2,1,12,4,4,4,1,2,4,1],[1,1,6,4,3,4,8,1,
16,6,12,8,2,1,12,4,4,4,1,2,4,1],[1,5,18,10,10,8,19,8,8,4,5,2,10,4,6,10,6,4,16,
12,8,8,1,1,1,2,12,8,2,1,4,1,2,4,4,2,2,4,1,1,2,1,2,2,2,4,1],[1,1,14,4,8,7,8,8,
8,1,2,4,16,6,10,12,4,12,2,1,2,8,2,1,1,12,2,8,2,2,8,1,1,1,4,2,2,4,1],[1,5,10,
10,10,15,4,4,5,10,6,6,16,8,1,1,1,12,4,4,4,1,2,4,1],[1,3,8,3,1,4,5,12,8,6,1,1,
1,15,12,9,9,3,4,12,2,2,3,3,1,3,2,9,3,6,3,3,3,3,9,1,1,1,3,3,3,3,1],[1,3,16,3,1,
12,9,8,8,6,3,1,1,3,12,7,9,3,4,12,12,6,6,3,3,2,6,3,3,1,2,3,6,1,9,3,3,3,1,1,1,3,
3,3,3,1],[1,1,14,4,8,7,8,16,1,2,4,6,10,8,12,1,2,8,2,1,1,4,4,4,1,1,3,2,1],[1,1,
6,4,3,4,1,6,12,1,6,6,6,3,4,1],[1,1,10,8,5,2,4,4,2,4,1,2,2,4,8,1,1,4,1,2,2,1,1,
1,1],[1,3,12,3,1,8,7,6,4,6,2,1,3,3,2,12,4,4,4,4,3,1,2,2,1,2,1,1,1,1],[1,1,2,1,
6,4,4,4,4,2,1,2,2,8,1,1,1,4,2,2,1,1,1,1],[1,3,4,3,1,3,10,4,6,1,4,2,3,3,2,12,4,
3,1,2,1,2,2,1,1,1,1],[1,1,5,4,4,3,5,4,4,1,4,3,4,1,1,1,1,1],[1,1,8,1,4,3,1,8,4,
1,4,3,4,2,1,1,1],[1,1,4,9,3,4,9,1,4,3,4,2,1,1,1],[1,1,5,4,4,3,4,5,4,1,4,3,4,1,
1,1,1,1],[1,1,1,4,8,3,1,4,8,1,4,3,4,1,1,1,1,1],[1,1,4,1,8,3,4,1,8,1,4,3,4,1,2,
1,1],[1,1,1,8,4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,1,4,5,4,3,4,4,1,4,1,4,3,4,1,1,
1,1,1],[1,1,2,1,1,3,2,1,1,1,1,6,3,3,1,2,1,1,3,1],[1,3,4,1,8,4,3,1,3,3,4,8,4,1,
4,2,1,1,3,3,4,2,1,1,1,1],[1,1,6,1,8,4,4,3,1,4,6,4,4,1,4,2,1,4,3,4,1,1,1,1,1,
1],[1,1,6,1,4,8,4,3,1,4,6,8,1,4,1,2,3,4,4,1,2,1,1,1],[1,6,15,2,2,9,9,9,2,6,8,
6,6,9,1,6,6,2,2,1,1,1,1,1],[1,1,2,1,1,1,6,2,1,1,3,1,2,1,1,6,2,1,3,1,2,1,1],[1,
4,3,2,1,1,3,1,3,1,1,2,3,1,3,1,3,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,1],[1,9,1,8,4,
1,3,3,4,9,3,4,2,1,1,3,3,4,1,3,1,1],[1,6,3,1,4,8,3,1,3,4,6,3,3,4,1,2,3,1,3,4,1,
3,1,1],[1,9,1,4,8,3,1,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,2,7,1,2,1,1,3,3,2,2,2,
7,2,2,2,1,3,1,1,1,3,2,1,3,1,2,2,1,3,1,1,1,1,1],[1,5,10,10,10,15,16,5,10,1,1],[
1,5,10,10,15,10,10,30,15,15,20,30,5,10,10,15,1],[1,2,1,13,24,1,4,12,8,24,1,8,
4,1],[1,3,4,12,3,3,4,3,3,3,6,1,1,2,1],[1,4,15,3,7,6,3,6,1,1,2,1],[1,4,6,12,4,
6,3,3,3,3,1,1,1,1,1],[1,3,4,3,12,3,1,3,3,3,3,6,1,1,2,1],[1,2,1,4,6,1,1,3,2,6,
3,6,1,1,2,6,3,1],[1,1,18,16,12,12,9,6,16,3,3,2,9,18,12,6,9,8,12,1,1],[1,1,18,
16,12,12,9,6,16,3,3,2,9,18,12,6,9,8,12,1,1],[1,1,18,16,12,12,9,6,16,3,3,2,9,
18,12,6,9,8,12,1,1],[1,1,18,16,12,12,9,6,16,3,3,2,9,18,12,6,9,8,12,1,1],[1,1,
18,16,12,12,9,6,16,3,3,2,9,18,12,6,9,4,4,12,1,1],[1,1,18,16,4,20,9,6,16,1,5,2,
3,6,18,4,8,6,3,6,8,4,8,1,1],[1,1,18,4,12,12,9,6,4,3,3,2,9,18,12,6,9,1,4,1,3,
1],[1,1,18,4,12,12,9,6,4,3,3,2,9,18,12,6,9,1,4,1,3,1],[1,1,18,4,12,12,9,6,4,3,
3,2,9,18,12,6,9,1,4,1,3,1],[1,1,6,4,4,3,12,4,24,1,1,15,9,9,12,16,3,3,9,1,4,1,
3,1],[1,1,6,4,4,3,12,4,24,1,4,12,18,16,12,3,12,1,4,1,3,1],[1,3,4,4,3,1,3,6,6,
12,16,1,1,3,12,3,3,12,4,12,12,3,1,2,3,6,1,4,1,1,2,1],[1,1,6,16,4,3,12,16,1,4,
12,18,4,3,12,16,4,1,1],[1,1,6,16,4,3,12,16,1,4,12,18,4,3,12,4,12,4,1,1],[1,1,
6,16,4,3,12,16,1,1,15,9,9,4,3,3,9,4,12,4,1,1],[1,1,18,1,12,12,9,6,1,18,3,3,2,
9,18,12,9,12,6,6,9,2,3,3,9,18,1,6,9,1],[1,1,14,4,12,7,8,4,8,3,1,3,7,9,12,4,8,
3,2,6,3,1,1,4,1,2,1,1],[1,1,6,4,4,3,12,4,1,1,15,9,9,1,12,3,3,9,4,1,1,3,1],[1,
1,6,4,4,3,12,4,1,4,12,18,1,12,3,12,4,1,1,3,1],[1,1,6,4,4,3,4,8,4,1,16,6,12,1,
4,8,2,1,12,4,1,1,2,1,1],[1,1,2,4,1,6,8,4,8,1,3,3,4,4,8,1,3,3,1,4,1,1,1],[1,1,
10,4,5,10,4,16,1,9,6,9,10,8,4,1,9,2,3,1,4,1,1,2,1],[1,3,4,16,3,1,3,6,6,16,1,3,
3,12,4,3,4,1,1],[1,5,22,4,10,10,12,21,6,12,8,8,4,5,3,10,3,6,12,12,12,1,4,4,4,
1,3,6,3,6,2,1,2,4,3,1,1,1,1],[1,5,14,1,10,10,4,17,2,4,5,14,5,1,10,1,2,4,4,4,
10,10,17,4,2,4,1,1,2,1,2,5,1,10,1,2,4,4,4,1,1,1,2,1,2,1],[1,5,10,4,10,10,15,4,
4,4,4,4,5,10,6,6,16,1,4,4,4,1,1,1,12,1,1,1,4,1,1,1,1,1],[1,1,10,1,4,4,5,2,8,1,
10,1,1,1,4,4,4,5,4,2,8,1,2,1,1,1,4,4,1,1,2,1],[1,7,12,4,9,3,4,9,4,12,6,4,4,4,
1,3,3,3,3,6,12,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,4,4,3,4,12,
12,4,1,12,3,3,6,6,1,4,8,1,3,6,3,6,1,4,3,2,1,1],[1,27,4,6,3,27,18,18,27,4,6,3,
27,18,18,3,1,9,3,1],[1,10,9,1,12,9,12,12,1,12,9,9,4,12,9,12,12,4,1,12,1,1,1,
1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,9,4,6,3,
27,6,6,9,4,6,3,9,6,6,1,1,3,1,1],[1,6,9,1,4,2,6,9,2,6,6,6,6,9,12,4,2,1,4,2,6,9,
2,4,2,6,6,1,6,1,1,6,2,1,1],[1,6,9,4,6,3,9,2,6,6,6,12,6,9,4,6,3,6,9,2,4,2,6,6,
1,6,1,1,6,2,1,1],[1,6,9,2,1,4,6,9,2,6,6,6,3,12,9,3,1,1,3,2,6,6,9,1,3,2,1,4,3,
6,1,3,3,1,1,3,3,1,1,1,1],[1,15,1,4,2,6,9,6,8,15,12,6,4,2,1,4,2,6,9,6,2,4,8,1,
6,1,1,6,2,1,1],[1,9,1,4,2,6,9,6,6,9,4,2,1,4,2,9,6,6,1,1,1,1,1],[1,4,3,3,4,3,3,
3,1,1,6,4,3,3,6,6,6,3,3,1,3,3,3,1,3,6,3,1,1,1,1,1,1,1,1,3,1,3,6,3,3,1,1,1,1,1,
3,1,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,10,15,10,15,5,15,6,
10,10,10,15,6,5,10,6,5,1,1],[1,1,54,36,144,27,36,9,36,12,108,108,162,216,27,
108,72,648,108,162,108,162,9,36,12,108,108,162,216,27,36,1],[1,1,22,4,16,11,
20,32,1,4,4,36,28,42,16,40,3,12,8,72,4,6,20,30,8,24,24,1,4,4,6,4,12,12,16,16,
2,1,12,1],[1,5,10,10,10,15,28,28,5,10,4,12,48,42,42,112,1,7,7,84,12,16,36,48,
1,3,24,7,24,1,6,1],[1,5,26,10,10,16,23,20,16,12,5,4,10,4,36,48,28,42,18,8,48,
40,16,16,1,3,3,12,36,8,72,4,6,8,20,16,30,36,48,4,8,24,12,12,24,1,3,4,24,3,4,6,
4,6,8,16,12,12,24,12,12,12,24,1,1,1,6,6,8,8,1],[1,5,10,10,10,15,12,12,5,10,4,
12,48,18,18,48,16,1,3,3,36,12,16,36,48,8,8,8,1,3,24,3,4,8,8,8,1,2,2,2,1],[1,1,
30,12,48,15,16,24,8,3,12,2,18,16,24,36,12,12,60,2,3,12,8,72,18,27,6,9,12,6,24,
6,6,24,1,1,9,6,9,3,9,3,6,12,6,6,12,1,2,6,3,3,1],[1,5,34,10,18,48,27,16,24,4,7,
12,10,2,18,24,36,6,12,16,60,24,24,1,1,3,12,12,8,72,18,27,12,6,9,6,12,12,6,6,
12,1,9,1,6,9,6,3,9,3,6,6,6,6,12,1,3,1,1,3,3,3,1],[1,1,6,4,3,4,8,1,16,6,12,24,
2,1,12,12,12,12,1,6,12,12,1,3,3,1],[1,1,6,4,3,4,8,1,16,6,12,24,2,1,12,12,12,
12,1,6,12,12,1,3,3,1],[1,5,10,10,10,15,4,4,5,10,6,6,16,24,1,1,1,12,12,12,12,1,
6,12,12,1,3,3,1],[1,1,14,4,8,7,8,8,8,1,2,4,16,6,10,12,4,12,16,2,1,2,8,2,1,1,
12,2,8,2,2,8,8,8,8,1,1,1,4,4,2,2,4,4,4,1,1,1,2,2,1],[1,5,18,10,10,8,19,16,8,
12,5,2,10,4,6,22,18,4,48,12,8,8,8,1,3,3,2,36,8,2,1,4,1,2,4,4,2,2,4,4,4,4,3,1,
2,1,4,2,2,2,2,4,4,1,1,1,2,2,1],[1,4,3,4,9,3,3,9,1,1,4,9,12,12,1,9,9,4,1,12,3,
3,3,4,4,4,2,1,1,3,3,4,3,1,1,1],[1,4,3,8,1,4,3,3,9,1,1,1,8,16,12,1,9,9,4,1,12,
3,3,3,4,4,4,2,1,1,3,3,4,3,1,1,1],[1,4,3,4,1,8,3,3,9,1,1,16,1,12,8,1,9,9,4,1,
12,3,3,3,4,4,4,1,2,1,3,3,4,3,1,1,1],[1,4,3,2,1,1,3,3,9,1,1,2,3,1,3,1,1,9,9,1,
1,3,6,3,3,9,3,3,1,1,1,2,1,1,9,9,3,3,1,3,3,1,3,1,3,3,1],[1,3,16,1,8,4,3,1,12,9,
6,8,3,16,8,4,3,1,3,6,6,4,2,1,4,1,3,9,12,6,3,8,4,2,2,1,3,1,3,6,6,4,1,1,3,1,2,
1],[1,7,12,1,4,8,9,3,4,9,6,4,4,7,4,12,8,1,3,3,6,6,4,1,2,4,3,9,9,4,6,3,4,4,4,1,
1,1,2,1,3,3,6,6,4,1,1,3,1,1,1,1],[1,1,6,5,4,4,3,4,5,4,6,4,1,3,3,4,3,8,4,4,1,4,
1,1,1,1,3,3,4,1,1,1,1,1,1],[1,5,10,1,8,4,10,10,15,5,8,10,8,8,8,4,5,10,4,2,1,
10,10,15,8,4,1,8,4,2,2,2,1,2,5,10,1,4,1,2,1,1,2,1],[1,3,4,1,8,4,3,1,3,6,6,3,4,
8,4,1,3,3,4,2,1,1,3,3,6,6,4,3,4,2,1,1,3,3,1,4,1,3,1,1],[1,2,1,4,5,4,1,3,3,8,5,
4,5,5,8,4,1,3,3,4,4,5,4,3,3,1,8,4,1,1,1,1,3,3,4,1,1,1,1,1,1],[1,5,30,10,10,20,
25,10,20,16,5,5,10,5,10,20,20,20,16,1,5,10,5,10,5,1,1],[1,9,2,1,13,24,12,18,9,
9,1,4,12,8,24,24,12,12,9,1,8,4,1,12,1,1],[1,27,2,1,13,24,45,72,27,1,4,12,8,24,
9,36,72,12,1,8,4,3,24,12,1,1],[1,3,2,1,13,24,1,3,36,1,4,12,8,24,1,12,12,1,8,4,
3,4,1,1],[1,9,3,4,12,3,12,9,9,9,9,3,4,3,3,3,6,3,3,3,12,9,1,1,2,1,3,1,1],[1,9,
4,15,3,12,9,18,9,7,6,3,6,3,15,3,9,1,1,2,1,3,1,1],[1,9,3,4,12,3,12,9,18,9,3,4,
3,3,3,6,3,12,3,3,9,1,1,2,1,3,1,1],[1,9,3,4,3,12,3,9,9,18,9,3,1,3,3,3,3,6,3,3,
3,3,9,9,1,1,2,1,3,1,1],[1,3,5,10,10,15,1,9,3,9,9,9,10,10,30,15,15,20,30,1,3,3,
3,3,9,3,9,9,9,5,10,10,15,1,3,3,3,3,3,1,1],[1,9,5,10,10,15,6,6,9,18,9,10,10,30,
15,15,20,30,6,6,6,6,6,12,6,1,9,5,10,10,15,6,6,1,1,2,1,1],[1,3,2,1,4,6,1,3,9,1,
1,3,2,6,3,6,1,3,3,9,1,1,2,6,3,1,3,3,1,1],[1,1,3,4,12,3,3,1,12,3,3,3,4,3,3,3,6,
3,4,3,3,3,6,1,1,2,1,1,2,1,1],[1,15,1,20,10,5,6,10,15,10,6,10,5,5,6,10,6,5,1,
1],[1,15,1,10,20,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,13,30,16,30,30,12,45,
6,36,16,16,16,15,3,30,2,9,18,18,36,36,12,16,3,6,9,18,9,18,8,12,12,12,1,9,9,12,
3,1,1],[1,5,10,16,10,10,15,12,12,16,16,16,5,10,4,12,48,18,18,48,4,16,1,3,3,36,
12,16,36,48,16,4,4,4,1,3,24,3,16,4,1,1,1],[1,5,10,16,10,10,15,12,12,32,16,5,
10,4,12,48,18,18,48,4,16,1,3,3,36,12,16,36,48,4,12,4,8,1,3,24,3,4,12,4,1,1,
1],[1,5,10,4,10,10,15,12,12,20,40,5,10,4,12,48,18,18,48,40,40,60,1,3,3,36,12,
16,36,48,1,20,40,1,3,24,3,4,3,4,1,1,6,1],[1,5,22,16,10,18,12,21,6,12,16,16,16,
7,3,10,2,9,6,18,12,12,12,16,1,6,9,6,3,6,8,4,4,12,1,3,3,4,1,1,1],[1,5,22,16,10,
18,12,21,6,12,16,16,16,7,3,10,2,9,6,18,12,12,12,16,1,6,9,6,3,6,8,4,12,4,1,3,3,
4,1,1,1],[1,5,22,16,10,18,12,21,6,12,32,16,7,3,10,2,9,6,18,12,12,12,16,1,6,9,
6,3,6,8,4,16,1,3,3,4,1,1,1],[1,5,22,16,10,10,20,21,6,12,32,16,5,5,10,2,3,6,6,
18,12,12,4,8,16,1,6,3,6,6,3,6,8,4,8,8,1,3,3,4,1,1,1],[1,1,18,16,12,12,9,6,36,
12,16,3,3,2,9,18,18,18,12,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,1,30,16,12,
48,15,16,16,3,12,2,18,24,36,60,12,16,3,12,8,72,18,27,6,9,8,12,1,9,6,9,6,8,12,
1,1,1],[1,1,30,16,12,48,15,16,16,3,12,2,18,24,36,60,12,16,3,12,8,72,18,27,6,9,
8,12,1,9,6,9,6,8,12,1,1,1],[1,1,30,4,12,48,15,16,4,24,3,12,2,18,24,36,60,12,
16,3,12,8,72,18,27,6,9,1,4,12,12,1,9,6,9,6,4,3,4,1,1,3,3,1],[1,1,18,16,12,12,
9,6,12,4,16,3,3,2,9,6,6,18,12,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,1,6,4,4,3,
12,16,4,24,1,4,12,18,8,16,12,16,3,12,4,12,12,1,4,8,1,6,8,3,4,1,1,2,1],[1,1,6,
16,4,3,4,16,1,6,12,4,16,1,6,6,6,4,3,4,1,1],[1,1,22,4,4,16,11,20,4,40,1,4,4,36,
28,42,40,16,20,16,8,3,12,8,72,4,6,20,30,1,4,4,4,16,1,4,4,6,16,2,5,4,1,1,1,1,4,
1],[1,5,22,1,10,18,12,21,6,12,5,22,7,3,10,2,9,6,18,12,12,18,10,21,12,6,12,1,6,
9,6,3,6,2,7,3,10,9,6,18,12,12,1,3,3,1,6,9,6,3,6,1,1,3,3,1],[1,5,10,4,10,10,15,
12,12,4,4,4,5,10,4,12,48,18,18,48,1,4,12,12,1,3,3,36,12,16,36,48,4,12,1,1,1,
12,1,3,24,3,1,3,3,4,1,1,3,3,1],[1,7,12,4,9,3,4,9,12,24,18,4,4,4,1,3,1,15,36,9,
9,9,12,36,6,6,1,4,12,12,3,9,3,3,6,9,9,18,9,9,9,9,27,4,1,1,1,12,12,1,3,3,9,9,9,
9,1,4,3,3,3,1,3,3,1],[1,3,28,16,3,1,24,15,6,12,6,32,16,6,1,3,3,6,12,12,12,12,
12,4,16,3,3,6,6,3,6,8,4,1,3,3,4,3,1,1],[1,5,10,16,10,10,15,12,12,32,16,5,10,
18,18,48,4,16,1,3,3,36,4,8,3,4,4,1,1,1],[1,3,4,16,3,1,3,18,12,6,16,1,12,6,3,3,
6,12,12,4,16,3,3,6,3,6,6,4,1,3,3,4,3,1,1],[1,3,16,4,3,1,12,9,8,8,6,12,16,3,1,
1,3,12,7,9,3,4,12,12,6,6,4,12,12,8,8,3,3,2,6,3,3,1,2,3,6,1,9,3,3,3,1,4,4,4,1,
1,1,3,3,3,3,2,1,2,4,1,1,1,1,1],[1,3,8,4,3,1,4,5,12,8,6,12,32,1,1,1,15,12,9,9,
3,4,12,2,2,4,12,20,16,8,3,3,1,3,2,9,3,6,3,3,3,3,9,1,4,4,4,8,8,1,1,1,3,3,3,3,3,
2,4,1,1,1,1,1],[1,9,1,12,27,12,9,9,4,27,12,9,1,1,3,1],[1,9,1,12,9,18,12,9,9,4,
9,18,12,9,1,1,1,2,1],[1,6,27,4,6,3,9,27,27,2,18,18,6,12,6,27,27,4,6,3,6,27,9,
9,2,4,2,18,18,3,6,9,1,1,9,6,3,2,3,3,1,1,1,1],[1,10,9,1,12,9,9,9,12,12,1,12,9,
9,9,4,12,9,9,9,12,12,4,9,1,12,1,1,1,1,1,1,1],[1,1,6,13,9,12,3,6,4,9,9,12,1,9,
4,12,12,12,6,3,3,9,4,12,12,12,1,2,2,1,1,2,2,1,1,4,3,4,2,1,1,2,2,1,2,1,1,1],[1,
6,15,1,4,2,6,9,9,9,2,6,8,6,6,15,12,12,6,9,4,2,1,4,2,6,6,9,9,9,2,4,2,6,2,4,8,1,
6,6,9,1,1,1,6,6,1,2,2,1,1,1,1,1,1],[1,5,10,1,10,10,15,16,5,10,5,10,10,10,15,
16,1,5,10,1,1,1],[1,5,10,19,33,10,13,30,15,24,26,48,6,12,1,8,5,13,10,15,2,4,
12,6,1,1,1,2,4,2,2,1],[1,5,10,10,10,15,60,60,5,10,20,60,240,90,90,240,1,15,15,
180,60,80,180,240,5,15,120,15,120,5,30,15,1],[1,5,58,10,42,144,39,36,48,12,13,
36,10,12,108,48,108,162,18,24,48,216,48,48,1,3,27,108,36,72,648,108,162,24,
108,16,162,36,48,12,24,72,36,36,72,9,3,36,24,12,108,3,108,162,12,12,36,18,24,
216,36,36,72,36,36,36,72,1,3,27,4,12,36,12,36,18,18,24,24,36,1,3,3,12,12,1],[
1,5,10,10,10,15,12,12,5,10,4,12,48,18,18,48,48,1,3,3,36,12,16,36,48,24,24,24,
1,3,24,3,12,24,24,24,1,6,6,6,3,1],[1,5,10,10,10,15,12,12,5,10,4,12,48,18,18,
48,48,1,3,3,36,12,16,36,48,24,24,24,1,3,24,3,12,24,24,24,48,1,4,6,6,6,12,3,4,
4,4,1],[1,5,26,10,10,16,23,36,16,28,5,4,10,4,36,48,28,66,42,8,112,40,16,16,16,
1,7,7,12,84,8,72,4,6,8,20,16,30,36,48,4,8,24,12,12,24,8,8,8,1,3,4,24,7,4,6,4,
6,8,16,24,12,12,24,4,12,12,12,24,8,8,8,1,1,1,6,2,2,6,6,2,8,8,8,8,1,1,1,4,1],[
1,5,26,10,10,16,23,20,16,12,5,4,10,4,36,48,28,42,18,8,48,40,16,16,32,1,3,3,12,
36,8,72,4,6,8,20,16,30,36,48,4,8,24,12,12,24,16,16,16,1,3,4,24,3,4,6,4,6,8,16,
12,12,24,8,12,12,12,24,16,16,16,1,1,1,4,4,6,6,4,8,8,8,8,1,2,4,1],[1,5,10,10,
10,15,28,28,5,10,4,12,48,42,42,112,32,1,7,7,84,12,16,36,48,16,16,16,1,3,24,7,
24,8,16,16,16,1,6,4,4,4,1,2,1],[1,1,18,8,16,16,12,12,9,6,8,16,16,3,3,2,9,18,
16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,1,18,8,16,16,12,12,9,6,16,
8,16,3,3,2,9,18,16,12,12,24,6,9,16,8,2,8,8,12,12,1,6,8,1,1,2,1],[1,1,18,16,24,
12,12,9,6,16,24,3,3,2,9,18,16,12,12,24,6,9,16,10,8,8,12,12,1,6,8,1,1,2,1],[1,
1,18,4,4,32,12,12,9,6,4,4,32,3,3,2,9,18,16,12,12,12,12,6,9,16,1,1,4,12,4,4,12,
12,1,3,3,4,4,1,1,1,1,1],[1,1,18,20,4,16,12,12,9,6,4,20,16,3,3,2,9,18,16,12,12,
12,12,6,9,16,1,9,4,4,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,1,18,4,20,16,12,12,9,6,
4,16,4,16,3,3,2,9,18,16,12,12,12,12,6,9,16,1,1,8,4,4,4,4,12,12,1,3,3,4,4,1,1,
1,1,1],[1,1,18,1,32,16,12,12,9,6,1,16,18,16,16,3,3,2,9,18,16,24,12,12,9,12,6,
6,9,16,8,8,8,2,12,12,12,3,3,9,18,1,12,6,9,8,12,1,1,1,1,1],[1,1,18,1,16,32,12,
12,9,6,1,16,18,32,3,3,2,9,18,16,12,24,12,9,12,6,6,9,16,8,8,8,2,12,24,3,3,9,18,
1,12,6,9,8,12,1,2,1,1],[1,1,18,5,4,4,12,12,9,6,5,4,18,4,3,3,2,9,18,4,12,9,12,
18,12,12,6,9,4,1,1,1,6,4,4,3,3,9,18,1,12,3,3,3,6,9,1,4,1,1,1,1,3,1],[1,1,6,4,
4,32,4,3,12,4,4,24,32,1,1,15,9,9,16,1,8,12,16,12,3,3,9,16,1,8,24,4,1,8,4,1,4,
3,3,4,4,1,2,1,1],[1,1,6,4,20,16,4,3,12,4,16,24,4,16,1,4,12,18,16,5,4,16,12,12,
3,12,16,1,16,4,12,4,4,1,4,4,1,4,3,3,4,4,1,1,1,1,1],[1,5,22,1,8,4,10,10,12,21,
6,12,8,5,8,22,8,8,8,4,5,3,10,3,6,12,12,12,4,2,1,4,10,10,21,12,8,4,6,12,4,1,3,
6,3,6,8,8,4,2,2,2,2,1,2,5,3,10,3,6,12,12,12,4,3,4,1,4,4,1,2,1,1,1,3,6,3,6,1,2,
2,4,1,3,1,1,1,1],[1,12,27,2,1,13,24,27,13,45,72,18,3,45,27,9,1,4,12,8,24,45,
27,1,9,24,12,24,36,72,12,9,12,1,8,4,12,9,36,1,3,24,3,4,12,12,1,3,12,1,1,1,1],[
1,27,4,42,3,27,18,18,27,16,6,3,24,27,27,18,18,3,4,1,8,9,3,4,1,1],[1,27,4,6,39,
27,18,18,27,4,6,3,12,12,12,27,27,18,18,3,4,1,4,4,9,3,4,1,1],[1,27,5,10,10,15,
27,18,18,27,54,27,10,10,30,15,15,20,30,27,27,18,18,18,18,18,36,18,3,27,5,10,
10,15,9,27,18,18,3,3,6,1,1,9,3,1],[1,9,2,1,13,24,27,12,18,9,9,1,4,12,8,24,27,
9,24,12,12,9,1,8,4,9,1,12,1,3,1,1],[1,9,2,1,13,24,9,12,18,9,9,1,4,12,8,24,18,
9,9,24,12,12,9,1,8,4,9,1,12,1,1,1,1],[1,6,9,5,10,10,15,9,2,6,6,18,6,18,9,18,
18,18,9,10,10,30,15,15,20,30,6,9,18,9,2,6,6,6,6,6,6,6,6,6,12,6,1,18,6,18,18,
18,9,5,10,10,15,1,6,6,6,6,9,2,6,6,6,6,6,6,1,1,2,6,1,1,1,2,6,2,1,1],[1,9,5,10,
10,15,27,6,6,9,18,9,10,10,30,15,15,20,30,27,9,6,6,6,6,6,12,6,1,9,5,10,10,15,3,
9,6,6,1,1,2,1,1,3,1,1],[1,10,9,3,4,12,3,9,12,12,12,10,12,9,18,12,12,9,3,4,3,3,
3,6,12,9,18,9,3,3,3,3,12,12,3,3,3,4,3,12,3,9,6,1,1,2,3,3,12,3,9,1,1,1,3,3,1,2,
1,1,3,1,1,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,
1],[1,10,15,1,10,20,15,5,15,6,10,10,10,10,15,20,15,10,6,5,10,10,15,5,15,6,10,
10,10,6,5,15,6,10,5,1,6,5,1,1,1],[1,25,1,20,10,5,15,15,6,20,25,20,10,15,10,6,
10,5,10,5,15,15,6,20,10,6,5,15,6,10,5,1,6,5,1,1,1],[1,1,54,64,36,144,27,36,64,
9,36,12,108,108,162,216,144,27,108,72,648,108,162,108,162,192,144,9,36,12,108,
108,162,216,27,36,48,36,1,1],[1,1,54,64,36,144,27,36,64,9,36,12,108,108,162,
216,48,96,27,108,72,648,108,162,108,162,16,32,144,48,96,9,36,12,108,108,162,
216,27,36,4,8,36,12,24,1,1],[1,1,54,4,36,144,27,36,4,72,9,36,12,108,108,162,
216,48,36,48,24,27,108,72,648,108,162,108,162,1,8,12,12,36,72,9,36,12,108,108,
162,216,6,9,24,36,27,36,2,3,3,4,9,18,1,6,9,1],[1,1,54,16,36,144,27,36,16,9,36,
12,108,108,162,216,12,48,27,108,72,648,108,162,108,162,8,16,12,9,36,12,108,
108,162,216,24,36,27,36,1,8,12,1,3,1],[1,1,54,16,36,144,27,36,16,9,36,12,108,
108,162,216,12,48,27,108,72,648,108,162,108,162,8,16,12,9,36,12,108,108,162,
216,24,36,27,36,1,8,12,1,3,1],[1,13,42,16,30,30,48,51,16,72,12,16,16,16,15,12,
30,2,18,24,36,18,36,48,60,72,72,12,16,16,16,3,3,3,12,36,8,72,18,27,36,6,9,18,
36,36,18,18,36,8,12,12,12,16,1,9,3,6,9,18,9,27,9,6,18,18,18,36,8,12,12,12,3,9,
1,3,9,9,9,1,12,3,1,1,1,1],[1,1,30,16,12,48,15,16,72,24,16,3,12,2,18,48,24,36,
36,36,60,12,16,32,6,3,12,8,72,18,27,6,9,36,18,72,18,18,72,8,12,16,3,1,9,6,9,9,
27,9,6,36,18,18,36,8,24,12,1,6,18,9,9,1,12,3,2,1,1],[1,5,10,16,10,10,15,4,4,
16,16,16,5,10,6,6,16,24,4,16,16,16,1,1,1,12,12,12,12,4,4,4,16,1,6,12,12,4,4,4,
1,3,3,4,1,1,1],[1,5,10,16,10,10,15,28,28,16,16,16,5,10,4,12,48,42,42,112,4,16,
16,16,1,7,7,84,12,16,36,48,16,4,4,4,16,1,3,24,7,24,16,4,4,4,1,6,1,4,1,1,1],[1,
1,30,16,12,48,15,16,24,8,16,3,12,2,18,16,24,36,12,12,60,12,16,32,2,3,12,8,72,
18,27,6,9,12,6,24,6,6,24,8,16,12,1,1,9,6,9,3,9,3,6,12,6,6,12,8,8,12,1,2,6,3,3,
1,4,1,1,2,1],[1,5,26,4,10,10,16,23,20,16,12,20,56,5,4,10,4,36,48,28,42,18,8,
48,40,16,16,40,40,68,16,8,16,1,3,3,12,36,8,72,4,6,8,20,16,30,36,48,4,8,24,12,
12,24,1,20,4,40,4,8,16,16,16,1,3,4,24,3,4,6,4,6,8,16,12,12,24,12,12,12,24,4,2,
5,4,4,8,4,8,1,1,1,6,6,8,8,1,1,6,1,2,4,4,1,1,1,1,2,2,1],[1,1,6,16,4,3,4,8,16,1,
16,6,12,24,4,16,32,2,1,12,12,12,12,16,4,1,6,12,12,8,4,1,3,3,4,1,1,1],[1,1,6,
16,4,3,4,8,16,1,16,6,12,24,4,16,32,2,1,12,12,12,12,16,4,1,6,12,12,8,4,1,3,3,4,
1,1,1],[1,5,34,16,10,18,48,27,16,24,4,16,16,16,7,12,10,2,18,24,36,6,12,16,60,
24,24,12,16,16,16,1,1,3,12,12,8,72,18,27,12,6,9,6,12,12,6,6,12,8,4,4,12,16,1,
9,1,6,9,6,3,9,3,6,6,6,6,12,8,4,4,12,1,3,1,1,3,3,3,1,4,1,1,1,1,1],[1,1,22,4,4,
16,11,20,32,4,40,1,4,4,36,28,42,16,40,16,20,16,8,32,3,12,8,72,4,6,20,30,8,24,
24,1,4,4,4,16,16,1,4,4,6,4,12,12,16,16,2,5,4,8,2,1,12,1,1,1,4,4,4,1,2,1,1],[1,
5,34,16,10,10,24,27,24,24,12,32,32,16,5,6,10,12,18,30,18,12,48,36,24,24,24,4,
16,16,16,1,3,3,6,36,24,6,3,12,3,6,12,12,6,6,12,12,12,12,8,4,8,16,3,3,6,3,4,6,
6,6,6,12,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,5,10,10,15,81,10,10,30,15,15,20,
30,5,10,10,15,1,1],[1,10,9,1,12,9,27,27,12,12,1,12,9,9,9,27,27,4,12,9,27,27,9,
12,12,4,9,27,27,1,12,9,1,1,1,1,3,3,1,3,3,1],[1,4,3,6,13,9,12,3,3,9,1,1,18,7,9,
12,15,21,24,12,1,9,9,9,4,12,12,12,1,12,15,12,6,3,3,9,3,3,1,1,4,4,4,4,4,4,9,4,
12,24,12,12,1,2,2,1,1,2,2,1,1,9,9,3,3,4,1,4,4,4,3,3,12,3,3,3,1,3,4,4,4,2,1,1,
2,2,1,2,1,1,3,3,4,1,1,1,1,3,1,1],[1,5,30,1,10,10,20,25,10,20,16,5,30,5,5,10,5,
10,20,20,20,16,10,10,25,20,10,20,16,1,5,10,5,10,5,5,10,5,10,20,20,20,16,5,1,5,
10,5,10,1,5,1,1,1],[1,3,5,10,19,33,1,9,3,36,9,9,10,13,30,15,24,26,48,6,12,1,3,
3,3,12,9,12,9,9,9,18,1,8,5,13,10,15,2,4,12,6,3,4,3,3,3,3,3,6,6,1,1,1,2,4,2,2,
1,1,2,3,1,1],[1,27,5,10,19,33,45,72,27,54,27,10,13,30,15,24,26,48,6,12,18,45,
18,18,18,90,18,12,27,1,8,5,13,10,15,2,4,12,6,3,24,18,18,3,3,15,1,1,1,2,4,2,2,
1,3,6,3,1,1],[1,9,5,10,19,33,12,27,9,27,27,27,10,13,30,15,24,26,48,6,12,3,27,
9,18,18,27,9,27,27,27,1,8,5,13,10,15,2,4,12,6,1,3,9,18,9,9,9,1,1,1,2,4,2,2,1,
1,2,3,1,1],[1,5,26,10,10,16,23,68,16,60,5,4,10,20,84,240,28,114,90,8,240,40,
16,16,48,1,15,15,12,180,8,72,4,6,8,68,80,30,180,240,4,8,24,12,12,24,24,24,24,
5,15,4,120,15,4,6,4,6,8,16,120,12,12,24,12,12,12,12,24,24,24,24,5,1,1,30,6,6,
6,6,6,8,8,24,24,15,1,3,12,1,3,3,1],[1,5,58,10,42,144,39,52,48,28,13,36,10,12,
108,48,108,186,42,24,112,216,48,48,48,1,7,31,108,84,72,648,108,162,24,108,16,
162,36,48,12,24,72,36,36,72,24,24,24,9,3,36,24,12,108,7,108,162,12,12,36,18,
24,216,24,36,36,72,12,36,36,36,72,24,24,24,1,3,27,4,12,36,6,12,36,6,6,18,18,6,
24,24,36,24,24,24,24,1,3,1,3,3,12,12,12,12,1,3,3,1],[1,5,26,10,10,16,23,36,16,
28,5,4,10,4,36,48,28,66,42,8,112,40,16,16,80,1,7,7,12,84,8,72,4,6,8,20,16,30,
36,48,4,8,24,12,12,24,40,40,40,1,3,4,24,7,4,6,4,6,8,16,24,12,12,24,20,12,12,
12,24,40,40,40,48,1,1,1,6,4,10,10,6,6,10,8,8,12,16,8,16,8,1,1,5,4,4,4,8,4,1,1,
1,2,2,1],[1,13,30,8,16,16,30,30,12,45,6,36,16,16,8,48,16,48,16,15,3,30,2,9,18,
18,36,36,16,12,12,16,48,24,3,6,9,18,9,18,16,16,16,2,8,8,8,12,12,12,12,12,12,1,
9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,13,30,8,16,16,30,30,12,45,6,36,16,16,16,
8,64,48,15,3,30,2,9,18,18,36,36,16,12,12,16,48,24,3,6,9,18,9,18,16,16,16,8,2,
8,8,12,12,12,12,24,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,13,30,16,24,30,30,
12,45,6,36,16,16,16,24,48,48,15,3,30,2,9,18,18,36,36,16,12,12,16,48,24,3,6,9,
18,9,18,16,16,16,10,8,8,12,12,12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,
1],[1,1,18,8,16,16,12,12,9,6,36,12,8,16,16,3,3,2,9,18,18,18,16,12,12,24,48,16,
3,6,9,9,18,18,16,2,8,8,8,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,1,30,8,
16,16,12,48,15,16,8,16,48,16,3,12,2,18,24,36,60,16,12,12,24,32,16,16,3,12,8,
72,18,27,6,9,16,2,8,8,8,12,12,24,24,1,9,6,9,6,16,8,8,8,6,8,12,12,1,8,1,1,2,6,
6,8,1,1,2,1,1],[1,13,30,1,16,32,30,30,12,45,6,36,16,16,13,16,30,32,15,3,30,2,
9,18,18,36,36,16,12,24,16,30,30,45,12,6,36,3,6,9,18,9,18,16,16,16,8,8,8,2,12,
12,12,24,15,3,30,9,18,18,36,36,1,9,9,16,12,3,12,6,9,18,9,18,3,8,12,12,12,1,2,
1,9,9,12,1,3,1,1],[1,5,22,1,32,16,10,18,12,21,6,12,5,32,22,32,32,32,16,7,3,10,
2,9,6,18,12,12,16,24,12,18,10,21,12,32,16,6,12,1,6,9,6,3,6,32,16,8,8,8,2,8,16,
16,4,16,7,3,10,9,6,18,12,12,1,3,3,12,16,1,8,4,6,9,6,3,6,1,8,4,16,1,1,1,1,3,3,
4,1,1,1,1,1,1],[1,5,10,4,20,16,10,10,15,12,12,20,20,40,20,20,32,16,5,10,4,12,
48,18,18,48,16,5,4,40,40,60,20,16,12,12,1,3,3,36,12,16,36,48,32,16,1,16,4,12,
4,12,5,5,5,4,8,20,40,12,1,3,24,3,4,16,4,3,4,16,4,12,5,4,3,3,4,1,4,4,8,1,6,1,1,
1,3,3,4,4,1,1,1,1,1,1],[1,7,12,4,4,32,9,3,4,9,12,24,18,4,4,28,4,48,32,1,3,1,
15,36,9,9,9,12,36,6,6,16,1,8,4,12,36,36,16,12,24,12,3,9,3,3,6,9,9,18,9,9,9,9,
27,16,16,16,1,8,24,4,1,1,1,8,4,12,12,12,12,24,24,1,3,3,9,9,9,9,16,4,3,6,1,4,3,
12,3,3,4,4,4,4,1,3,2,1,3,3,3,4,4,1,3,1,1],[1,9,12,13,12,12,27,12,36,36,9,36,9,
12,4,12,12,12,24,27,12,12,12,12,36,9,9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,13,24,
12,27,12,36,45,36,9,16,24,12,24,27,12,24,12,36,9,9,9,9,1,4,8,1,12,9,4,3,4,1,
1],[1,9,2,1,13,24,27,12,18,9,9,9,1,4,12,8,24,54,27,27,24,12,12,9,18,9,9,1,8,4,
27,1,12,9,1,3,1,1,3,1],[1,18,27,4,42,3,27,27,81,42,18,18,18,36,18,27,81,16,6,
3,24,27,18,27,27,27,6,48,6,18,18,3,18,27,27,4,1,8,3,9,18,9,4,6,3,9,4,1,3,3,4,
3,1,1],[1,9,2,1,13,24,9,54,12,18,9,9,27,1,4,12,8,24,18,9,9,54,18,24,12,12,9,
27,9,1,8,4,18,9,1,12,9,1,1,6,1,3,2,1,1],[1,12,27,2,1,13,24,27,9,27,13,45,72,
18,3,45,27,9,27,1,4,12,8,24,45,27,18,9,9,27,9,1,9,24,12,24,36,72,12,9,12,27,9,
1,8,4,12,9,36,9,9,1,3,24,3,4,12,12,9,1,3,1,3,12,1,1,1,3,1,1,1,1],[1,6,27,5,10,
10,15,9,27,27,2,18,18,18,6,18,27,54,18,18,27,27,10,10,30,15,15,20,30,6,27,9,
27,18,9,27,9,2,18,6,6,6,6,18,18,18,18,36,18,3,18,6,18,18,18,27,27,9,5,10,10,
15,1,9,6,6,6,6,27,3,9,9,2,6,6,6,6,18,18,3,3,6,6,3,9,1,1,1,1,1,2,9,3,6,2,3,1,3,
1,1,1,1],[1,55,55,55,66,110,55,66,12,55,55,12,22,1],[1,15,60,20,20,45,15,60,
45,90,36,20,60,80,60,60,15,15,45,90,90,10,36,15,15,60,60,45,20,20,10,36,15,15,
30,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,5,10,16,10,10,15,60,60,80,160,5,10,
20,60,240,90,90,240,160,160,240,1,15,15,180,60,80,180,240,20,80,160,5,15,120,
15,120,16,60,80,5,30,20,120,15,20,1,1],[1,5,58,64,10,42,144,39,36,48,12,64,64,
64,13,36,10,12,108,48,108,162,18,24,48,216,48,48,144,64,1,3,27,108,36,72,648,
108,162,24,108,16,162,36,48,12,24,72,36,36,72,192,16,144,16,9,3,36,24,12,108,
3,108,162,12,12,36,18,24,216,36,36,72,36,36,36,72,64,16,1,3,27,4,12,36,12,36,
18,18,24,24,36,48,36,1,3,3,12,12,4,16,1,1,1],[1,5,58,64,10,42,144,39,36,48,12,
128,64,13,36,10,12,108,48,108,162,18,24,48,216,48,48,48,96,64,1,3,27,108,36,
72,648,108,162,24,108,16,162,36,48,12,24,72,36,36,72,16,32,144,16,64,96,9,3,
36,24,12,108,3,108,162,12,12,36,18,24,216,36,36,72,36,36,36,72,16,48,16,1,3,
27,4,12,36,12,36,18,18,24,24,36,4,8,36,12,24,1,3,3,12,12,4,4,12,1,1,1],[1,13,
66,16,30,54,144,63,36,144,36,16,16,16,21,36,30,12,108,144,108,162,54,72,144,
216,144,144,12,16,48,48,3,9,27,108,108,72,648,108,162,72,108,48,162,108,144,
36,72,216,108,108,216,8,16,12,12,12,48,48,9,9,36,72,12,108,9,108,162,36,36,
108,54,72,216,108,108,216,108,108,108,216,24,12,16,36,36,3,9,27,12,36,36,36,
108,54,54,72,72,108,1,8,12,36,36,1,9,9,36,36,1,3,3,12,3,1,3,3,1],[1,5,10,64,
10,10,15,60,60,128,64,5,10,20,60,240,90,90,240,16,64,1,15,15,180,60,80,180,
240,32,96,16,32,5,15,120,15,120,32,96,16,5,30,8,12,15,8,12,1,1],[1,5,58,16,10,
42,144,39,36,48,12,16,16,16,13,36,10,12,108,48,108,162,18,24,48,216,48,48,12,
16,48,48,1,3,27,108,36,72,648,108,162,24,108,16,162,36,48,12,24,72,36,36,72,8,
16,48,4,4,12,48,9,3,36,24,12,108,3,108,162,12,12,36,18,24,216,36,36,72,36,36,
36,72,24,4,12,36,16,1,3,27,4,12,36,12,36,18,18,24,24,36,1,8,12,12,12,1,3,3,12,
12,1,3,3,4,1,1,3,3,1],[1,5,58,4,10,42,144,39,36,48,12,20,88,13,36,10,12,108,
48,108,162,18,24,48,216,48,48,72,40,84,48,24,48,1,3,27,108,36,72,648,108,162,
24,108,16,162,36,48,12,24,72,36,36,72,1,8,28,12,40,36,24,72,48,48,9,3,36,24,
12,108,3,108,162,12,12,36,18,24,216,36,36,72,36,36,36,72,4,6,9,4,24,36,24,12,
24,1,3,27,4,12,36,12,36,18,18,24,24,36,2,3,3,6,4,9,6,18,12,12,1,3,3,12,12,1,6,
3,9,4,6,6,1,1,3,3,1],[1,5,10,16,10,10,15,60,60,16,16,16,5,10,20,60,240,90,90,
240,4,16,48,48,1,15,15,180,60,80,180,240,16,16,48,4,4,4,48,5,15,120,15,120,16,
4,12,12,16,5,30,1,4,12,12,15,1,4,1,3,1],[1,5,10,16,10,10,15,12,12,16,16,16,5,
10,4,12,48,18,18,48,48,4,16,48,48,1,3,3,36,12,16,36,48,24,24,24,16,48,4,4,4,
48,1,3,24,3,12,24,24,24,48,4,12,12,16,1,4,6,6,6,12,4,12,12,3,4,4,4,1,4,1,1,1,
1,1],[1,5,10,64,10,10,15,12,12,128,64,5,10,4,12,48,18,18,48,48,16,64,1,3,3,36,
12,16,36,48,24,24,24,16,48,16,32,1,3,24,3,12,24,24,24,16,48,16,1,6,6,6,4,3,4,
1,1],[1,45,5,10,10,15,81,30,30,45,90,45,10,10,30,15,15,20,30,81,30,30,30,30,
30,60,30,5,45,5,10,10,15,30,30,5,5,10,1,5,1,1],[1,1,18,9,40,24,48,12,12,9,6,9,
16,24,18,24,48,3,3,2,9,18,24,16,48,48,48,24,12,12,24,12,9,12,30,24,24,6,9,24,
16,48,48,48,2,10,10,8,8,16,10,8,8,12,12,12,12,24,3,3,9,18,16,1,12,12,24,6,6,6,
6,9,16,10,8,8,16,16,8,16,8,8,12,12,1,1,1,1,2,2,2,2,1,6,8,1,1,1,2,2,2,1,1,2,
1],[1,5,70,40,10,50,60,45,30,60,96,80,80,40,15,15,10,10,45,30,90,60,60,96,50,
40,40,40,1,30,45,30,15,30,40,20,10,60,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[
1,5,70,40,10,10,100,45,30,60,96,80,80,40,5,25,10,10,15,30,30,90,60,60,96,10,
40,40,40,40,1,30,15,30,30,15,30,40,20,10,20,40,40,5,15,15,10,10,10,16,5,6,5,
10,6,5,1],[1,27,5,10,46,87,27,18,18,27,54,27,10,22,30,15,51,44,102,24,48,27,
54,27,27,18,18,18,18,18,36,18,3,27,4,32,5,22,10,15,8,16,48,24,9,27,27,18,18,3,
3,6,1,4,4,8,16,8,8,1,9,3,4,1,2,1,1],[1,12,27,5,10,19,33,27,13,45,72,36,12,63,
27,54,36,36,27,10,13,30,15,24,26,48,6,12,45,27,54,27,4,18,30,12,21,30,45,18,
18,18,90,18,12,36,21,36,36,36,27,18,1,8,5,13,10,15,2,4,12,6,12,18,18,45,18,27,
1,3,24,3,7,12,21,12,12,18,18,3,3,15,12,6,6,1,1,1,2,4,2,2,3,3,3,15,18,1,1,1,1,
2,3,6,4,3,2,3,1,1,3,3,1,1,1,1],[1,5,58,10,42,144,39,84,48,60,13,36,10,28,156,
240,108,234,90,24,240,216,48,48,144,1,15,39,108,180,72,648,108,162,24,156,80,
162,180,240,12,24,72,36,36,72,72,72,72,13,15,36,120,12,108,15,108,162,12,12,
36,18,24,216,120,36,36,72,36,36,36,36,72,72,72,72,144,5,3,27,4,12,36,30,12,12,
36,18,18,18,18,18,24,24,36,36,72,72,72,72,1,3,15,3,9,12,12,12,12,12,36,36,1,1,
3,3,9,9,9,3,3,9,1],[1,45,1,40,20,60,15,15,45,36,60,60,45,45,40,20,10,40,20,36,
30,15,15,30,15,15,45,36,60,60,10,15,15,45,10,36,15,15,10,10,6,6,15,15,10,6,6,
1,1],[1,1,54,64,48,36,144,27,36,64,48,9,36,12,108,108,162,216,64,144,36,144,
27,108,72,648,108,162,108,162,64,24,192,48,144,36,9,36,12,108,108,162,216,72,
108,27,36,48,3,48,24,36,36,1,9,12,1,3,1],[1,1,54,32,16,64,36,144,27,36,16,32,
64,9,36,12,108,108,162,216,64,24,12,48,96,96,48,27,108,72,648,108,162,108,162,
64,8,16,16,32,144,32,16,12,24,48,96,9,36,12,108,108,162,216,24,48,72,36,27,36,
16,32,1,2,4,8,36,16,8,12,24,12,24,1,6,3,4,8,1,2,1,1],[1,1,54,8,16,16,36,144,
27,36,8,16,144,16,9,36,12,108,108,162,216,16,12,12,96,72,96,48,48,48,27,108,
72,648,108,162,108,162,16,2,8,8,16,16,16,12,12,24,24,72,144,9,36,12,108,108,
162,216,48,12,24,24,18,48,72,36,36,27,36,8,16,1,1,4,8,8,6,6,8,18,12,12,36,1,
24,3,3,12,18,1,8,2,1,1,3,1],[1,1,54,4,16,128,36,144,27,36,4,16,72,128,9,36,12,
108,108,162,216,64,12,96,192,48,36,48,24,48,27,108,72,648,108,162,108,162,64,
1,8,32,64,288,8,16,12,96,192,12,12,36,72,9,36,12,108,108,162,216,48,6,24,9,24,
36,36,27,36,32,16,48,1,8,16,72,2,8,3,3,24,48,4,9,12,18,1,3,6,9,8,4,12,2,1,1,
1],[1,1,54,4,80,64,36,144,27,36,4,64,72,16,64,9,36,12,108,108,162,216,64,156,
48,96,48,36,48,24,48,27,108,72,648,108,162,108,162,64,1,8,192,16,32,144,8,16,
144,12,48,96,12,12,36,72,9,36,12,108,108,162,216,48,6,24,9,24,36,36,27,36,32,
16,48,1,48,4,8,36,2,8,3,3,36,12,24,4,9,12,18,1,3,6,9,8,4,12,1,1,1,1,1],[1,1,
54,64,36,144,27,36,64,9,36,12,108,108,162,216,64,144,27,108,72,648,108,162,
108,162,64,192,144,9,36,12,108,108,162,216,27,36,48,36,1,1,1],[1,1,30,8,16,16,
12,48,15,16,72,24,8,16,48,16,3,12,2,18,48,24,36,36,36,60,16,12,12,24,32,16,16,
96,32,6,3,12,8,72,18,27,6,9,36,18,72,18,18,72,16,2,8,8,8,48,12,12,24,16,24,3,
1,9,6,9,9,27,9,6,36,18,18,36,32,16,8,8,8,6,8,24,24,12,12,1,6,18,9,9,8,16,1,1,
2,6,12,6,12,3,8,2,1,1,2,6,1,1,3,2,1,1],[1,13,42,8,16,16,30,30,48,51,16,72,12,
16,16,8,48,16,48,48,16,15,12,30,2,18,24,36,18,36,48,60,72,72,16,12,12,16,24,
48,32,16,16,48,16,3,3,3,12,36,8,72,18,27,36,6,9,18,36,36,18,18,36,16,16,16,2,
8,8,8,12,12,12,12,12,12,24,48,16,24,1,9,3,6,9,18,9,27,9,6,18,18,18,36,16,16,
16,8,8,8,6,12,12,8,12,12,12,12,3,9,1,3,9,9,9,8,16,1,1,2,6,6,12,12,3,8,1,3,1,1,
1,2,3,1,1,3,1,1,1,1],[1,5,10,10,10,15,60,60,256,5,10,20,60,240,90,90,240,1,15,
15,180,60,80,180,240,5,15,120,15,120,5,30,16,15,1,1],[1,12,27,2,1,13,24,27,27,
81,13,45,72,18,3,45,27,9,9,81,81,1,4,12,8,24,45,27,54,27,27,81,27,27,1,9,24,
12,24,36,72,12,9,12,18,9,9,81,81,27,27,1,8,4,12,9,36,27,27,9,27,1,3,24,3,4,12,
12,9,27,27,1,3,3,9,12,9,1,1,1,1,9,9,1,3,3,3,1,3,3,1],[1,10,9,12,13,12,12,9,27,
27,12,12,48,37,12,36,45,21,48,36,9,27,27,12,4,12,12,12,24,12,36,45,36,27,27,9,
12,12,12,12,12,12,12,12,12,4,12,48,12,36,24,9,9,9,9,27,27,1,4,8,12,12,12,12,
36,9,9,9,9,1,1,1,12,12,4,8,9,4,1,3,3,12,9,4,4,4,1,3,3,4,1,1,1],[1,5,58,64,10,
10,48,39,84,48,60,128,128,64,5,12,10,20,132,240,84,162,90,24,240,120,48,48,
144,16,64,64,64,1,15,15,36,180,24,216,12,18,24,84,80,90,180,240,12,24,72,36,
36,72,72,72,72,32,96,32,16,32,64,5,15,12,120,15,12,18,12,18,24,48,120,36,36,
72,36,36,36,36,72,72,72,72,32,96,16,16,16,5,3,3,30,18,18,18,18,18,24,24,72,72,
8,12,16,15,3,9,36,8,12,12,12,1,9,9,12,3,1,1],[1,5,26,16,10,10,16,23,68,16,60,
80,224,5,4,10,20,84,240,28,114,90,8,240,40,16,16,48,160,160,272,64,32,64,1,15,
15,12,180,8,72,4,6,8,68,80,30,180,240,4,8,24,12,12,24,24,24,24,20,80,16,160,
16,32,64,64,64,5,15,4,120,15,4,6,4,6,8,16,120,12,12,24,12,12,12,12,24,24,24,
24,16,8,68,80,16,32,16,32,5,1,1,30,6,6,6,6,6,8,8,24,24,4,20,120,4,8,16,16,15,
1,3,12,20,4,4,8,8,1,3,3,4,1,1,1],[1,5,58,64,10,42,144,39,52,48,28,64,64,64,13,
36,10,12,108,48,108,186,42,24,112,216,48,48,48,144,64,64,64,1,7,31,108,84,72,
648,108,162,24,108,16,162,36,48,12,24,72,36,36,72,24,24,24,192,16,144,16,64,9,
3,36,24,12,108,7,108,162,12,12,36,18,24,216,24,36,36,72,12,36,36,36,72,24,24,
24,64,16,16,16,1,3,27,4,12,36,6,12,36,6,6,18,18,6,24,24,36,24,24,24,24,48,36,
16,1,3,1,3,3,12,12,12,12,4,16,1,3,3,1,4,1,1,1],[1,45,5,10,10,15,135,81,30,30,
45,90,45,10,10,30,15,15,20,30,81,135,45,30,30,30,30,30,60,30,5,45,81,5,10,10,
15,15,45,30,30,5,5,10,1,5,15,5,5,1,1,1],[1,13,30,9,40,24,48,30,30,12,45,6,36,
16,16,21,64,24,30,96,72,96,48,15,3,30,2,9,18,18,36,36,24,16,48,48,48,24,12,12,
24,16,30,30,45,12,96,48,30,24,24,36,3,6,9,18,9,18,16,16,16,16,16,16,16,16,24,
16,48,96,48,48,2,10,10,8,8,16,10,8,8,12,12,24,24,12,24,12,24,24,15,3,30,9,18,
18,36,36,16,1,9,9,16,16,16,16,12,12,24,48,3,6,6,6,24,12,12,6,9,18,9,18,16,16,
16,3,10,8,8,16,16,8,16,8,8,12,24,12,12,12,1,1,1,1,2,2,2,2,1,9,9,16,12,6,12,1,
3,3,3,3,8,1,1,1,2,2,2,1,1,2,1,1,1,1,3,1,1],[1,9,14,37,37,60,27,12,54,36,81,81,
108,9,37,40,120,60,60,80,120,24,48,54,27,27,12,36,36,36,36,81,36,108,108,108,
9,18,18,9,9,18,18,9,9,1,8,20,40,40,60,8,16,48,24,27,1,12,36,36,36,36,36,18,9,
9,18,18,9,18,9,9,4,1,4,8,16,8,8,3,1,4,8,12,1,9,4,3,4,1,2,1,1],[1,18,27,5,10,
46,87,27,27,81,42,18,18,54,18,54,27,54,54,54,27,81,10,22,30,15,51,44,102,24,
48,27,54,18,27,27,27,54,27,81,27,6,18,90,18,54,54,18,18,18,18,36,18,3,54,18,
54,54,54,27,27,81,27,4,32,5,22,10,15,8,16,48,24,3,9,18,18,18,18,27,27,9,27,27,
4,6,18,54,18,18,18,18,3,3,6,18,9,27,27,1,4,4,8,16,8,8,1,3,3,3,6,9,9,18,4,4,8,
6,3,3,9,4,1,2,1,3,3,4,1,3,1,1],[1,15,60,1,40,20,60,45,15,60,45,90,36,20,60,80,
15,60,60,120,120,60,15,15,45,90,90,40,20,10,40,20,36,30,15,15,30,60,60,15,45,
45,60,90,36,45,20,40,20,60,20,40,80,10,60,60,36,15,15,30,30,15,15,30,15,15,45,
90,90,10,36,10,10,60,60,15,15,10,15,15,45,20,20,10,6,6,36,15,15,10,30,15,15,
10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,13,66,8,16,16,30,54,144,63,36,144,
36,16,16,8,48,16,144,48,16,21,36,30,12,108,144,108,162,54,72,144,216,144,144,
16,12,12,16,96,72,96,48,48,48,48,144,48,3,9,27,108,108,72,648,108,162,72,108,
48,162,108,144,36,72,216,108,108,216,16,16,16,2,8,8,16,16,16,144,12,12,12,12,
12,12,24,24,72,144,48,48,144,9,9,36,72,12,108,9,108,162,36,36,108,54,72,216,
108,108,216,108,108,108,216,16,48,48,12,24,24,18,12,12,16,48,36,72,36,36,36,
48,3,9,27,12,36,36,36,108,54,54,72,72,108,8,16,48,48,1,1,4,8,8,6,6,8,18,12,12,
36,36,36,36,36,1,9,9,36,36,16,24,1,3,3,3,3,12,9,18,12,12,3,1,8,2,1,1,3,3,9,9,
1,3,3,1,3,1,3,3,1],[1,13,66,4,16,128,30,54,144,63,36,144,36,16,16,52,16,120,
128,21,36,30,12,108,144,108,162,54,72,144,216,144,144,64,12,96,192,16,120,120,
180,48,24,48,144,48,3,9,27,108,108,72,648,108,162,72,108,48,162,108,144,36,72,
216,108,108,216,64,64,64,1,8,32,64,288,8,16,12,12,12,96,192,60,12,120,36,72,
48,48,72,144,144,9,9,36,72,12,108,9,108,162,36,36,108,54,72,216,108,108,216,
108,108,108,216,64,48,12,6,24,9,12,12,16,24,36,36,72,36,72,36,3,9,27,12,36,36,
36,108,54,54,72,72,108,32,16,48,48,48,1,8,16,72,2,8,3,3,18,24,48,4,9,12,18,18,
36,36,36,36,1,9,9,36,36,16,48,1,3,3,3,6,9,9,12,12,18,18,3,8,4,12,2,1,1,3,3,9,
9,4,12,1,3,1,1],[1,13,66,32,16,64,30,54,144,63,36,144,36,16,16,16,32,256,192,
21,36,30,12,108,144,108,162,54,72,144,216,144,144,64,24,12,48,96,16,192,96,48,
48,3,9,27,108,108,72,648,108,162,72,108,48,162,108,144,36,72,216,108,108,216,
64,64,64,8,16,16,32,144,32,16,12,12,12,24,48,96,96,48,48,9,9,36,72,12,108,9,
108,162,36,36,108,54,72,216,108,108,216,108,108,108,216,64,24,48,48,144,48,12,
16,36,72,36,3,9,27,12,36,36,36,108,54,54,72,72,108,16,32,1,2,4,8,36,16,8,12,
24,12,24,36,36,1,9,9,36,36,16,1,12,12,36,3,6,3,12,3,4,8,1,2,1,3,3,4,3,1,1,1],[
1,13,66,64,48,30,54,144,63,36,144,36,16,16,64,48,192,192,21,36,30,12,108,144,
108,162,54,72,144,216,144,144,64,144,36,16,192,144,48,3,9,27,108,108,72,648,
108,162,72,108,48,162,108,144,36,72,216,108,108,216,64,64,64,24,192,48,12,12,
48,144,36,48,48,48,9,9,36,72,12,108,9,108,162,36,36,108,54,72,216,108,108,216,
108,108,108,216,64,72,192,48,12,16,36,108,3,9,27,12,36,36,36,108,54,54,72,72,
108,48,3,48,24,36,36,36,36,1,9,9,36,36,16,1,12,48,3,9,12,3,12,1,3,3,3,4,3,1,1,
1],[1,5,10,16,32,64,10,10,15,60,60,80,32,160,32,32,128,64,5,10,20,60,240,90,
90,240,64,8,16,160,160,240,32,64,96,96,1,15,15,180,60,80,180,240,128,64,20,32,
32,96,32,96,8,8,8,16,32,80,160,96,5,15,120,15,120,16,64,16,60,80,32,32,96,8,
16,24,24,32,5,30,32,16,32,20,120,2,8,8,24,12,24,15,16,32,2,8,20,8,12,1,8,6,8,
1,1,2,1],[1,5,58,4,80,64,10,42,144,39,36,48,12,20,80,88,80,80,128,64,13,36,10,
12,108,48,108,162,18,24,48,216,48,48,64,156,48,96,72,40,84,48,80,64,24,48,48,
48,1,3,27,108,36,72,648,108,162,24,108,16,162,36,48,12,24,72,36,36,72,128,64,
1,8,192,16,32,144,8,16,48,20,148,28,16,64,96,28,12,40,36,24,48,72,48,48,9,3,
36,24,12,108,3,108,162,12,12,36,18,24,216,36,36,72,36,36,36,72,48,64,4,6,24,9,
4,64,16,48,20,16,24,36,24,12,24,12,36,16,1,3,27,4,12,36,12,36,18,18,24,24,36,
32,16,16,64,1,48,4,8,36,2,8,3,3,6,36,12,24,4,9,12,12,6,18,12,12,12,1,3,3,12,
12,16,16,4,4,1,1,16,4,12,3,6,3,3,9,4,4,6,6,1,8,4,12,1,1,1,1,3,3,3,3,4,4,1,1,1,
1,1,1],[1,5,90,10,10,80,55,100,80,60,256,5,20,10,20,180,240,140,210,90,40,240,
200,80,80,240,256,1,15,15,60,180,40,360,20,30,40,100,80,150,180,240,20,40,120,
60,60,120,120,120,120,5,15,20,120,15,20,30,20,30,40,80,120,60,60,120,60,60,60,
60,120,120,120,120,5,5,5,30,30,30,30,30,30,40,40,120,120,16,15,5,15,60,16,1,
15,15,5,1,1],[1,5,70,1,80,40,10,50,60,45,30,60,96,80,5,80,70,80,80,80,40,15,
15,10,10,45,30,90,60,60,40,96,100,50,40,50,10,45,60,80,40,30,60,40,96,1,30,45,
30,15,30,80,80,40,40,40,40,10,20,20,60,60,10,60,15,15,10,45,30,90,60,60,40,96,
5,15,15,40,50,40,40,1,20,10,10,30,10,45,30,15,30,16,5,40,10,60,20,40,6,5,5,5,
5,10,15,15,10,10,10,6,16,5,5,5,5,6,5,10,6,5,1,1],[1,5,58,256,10,42,144,39,84,
48,60,512,256,13,36,10,28,156,240,108,234,90,24,240,216,48,48,144,192,384,256,
1,15,39,108,180,72,648,108,162,24,156,80,162,180,240,12,24,72,36,36,72,72,72,
72,128,128,768,64,256,384,13,15,36,120,12,108,15,108,162,12,12,36,18,24,216,
120,36,36,72,36,36,36,36,72,72,72,72,144,128,384,64,5,3,27,4,12,36,30,12,12,
36,18,18,18,18,18,24,24,36,36,72,72,72,72,16,32,144,64,96,48,1,3,15,3,9,12,12,
12,12,12,36,36,32,16,48,48,1,1,3,3,9,9,9,4,3,3,9,4,4,12,1,1],[1,5,58,64,10,42,
144,39,84,48,60,64,64,64,13,36,10,28,156,240,108,234,90,24,240,216,48,48,144,
48,64,192,192,1,15,39,108,180,72,648,108,162,24,156,80,162,180,240,12,24,72,
36,36,72,72,72,72,32,64,64,192,16,16,48,192,13,15,36,120,12,108,15,108,162,12,
12,36,18,24,216,120,36,36,72,36,36,36,36,72,72,72,72,144,96,64,16,48,144,64,5,
3,27,4,12,36,30,12,12,36,18,18,18,18,18,24,24,36,36,72,72,72,72,4,32,4,48,48,
48,1,3,15,3,9,12,12,12,12,12,36,36,4,4,12,12,12,16,1,1,3,3,9,9,9,4,12,12,12,
12,12,12,3,3,9,4,4,12,1,1],[1,5,58,64,10,42,144,39,84,48,60,64,64,64,13,36,10,
28,156,240,108,234,90,24,240,216,48,48,144,144,64,192,192,1,15,39,108,180,72,
648,108,162,24,156,80,162,180,240,12,24,72,36,36,72,72,72,72,192,64,192,16,
144,16,192,13,15,36,120,12,108,15,108,162,12,12,36,18,24,216,120,36,36,72,36,
36,36,36,72,72,72,72,144,64,16,48,48,64,5,3,27,4,12,36,30,12,12,36,18,18,18,
18,18,24,24,36,36,72,72,72,72,48,36,16,48,48,1,3,15,3,9,12,12,12,12,12,36,36,
4,16,16,1,1,3,3,9,9,9,1,12,3,3,9,1,4,1,3,1],[1,5,58,16,10,42,144,39,84,48,60,
80,352,13,36,10,28,156,240,108,234,90,24,240,216,48,48,144,288,160,336,192,96,
192,1,15,39,108,180,72,648,108,162,24,156,80,162,180,240,12,24,72,36,36,72,72,
72,72,20,32,112,48,160,144,96,288,192,192,13,15,36,120,12,108,15,108,162,12,
12,36,18,24,216,120,36,36,72,36,36,36,36,72,72,72,72,144,16,24,84,80,96,144,
96,48,96,5,3,27,4,12,36,30,12,12,36,18,18,18,18,18,24,24,36,36,72,72,72,72,8,
12,28,120,16,36,24,72,48,48,1,3,15,3,9,12,12,12,12,12,36,36,20,24,12,36,16,24,
24,1,1,3,3,9,9,9,4,12,12,3,3,9,1,4,1,3,1],[1,1,54,64,192,36,144,27,36,64,192,
9,36,12,108,108,162,216,256,144,144,576,27,108,72,648,108,162,108,162,256,96,
192,192,144,144,64,9,36,12,108,108,162,216,288,432,64,27,36,192,12,48,96,36,
144,1,36,48,1,12,4,1],[1,1,54,12,112,48,192,36,144,27,36,12,64,48,216,48,192,
9,36,12,108,108,162,216,48,64,192,192,192,180,36,144,288,144,108,144,72,144,
144,27,108,72,648,108,162,108,162,48,64,192,192,192,3,24,24,192,48,96,432,24,
48,48,144,36,36,144,288,36,36,108,216,64,9,36,12,108,108,162,216,144,144,144,
18,72,72,27,72,108,108,108,64,27,36,24,48,48,96,96,48,96,48,48,144,144,3,3,48,
12,24,108,6,24,24,9,9,36,36,72,12,27,36,36,54,1,72,9,9,18,27,48,3,12,12,24,24,
24,12,12,24,36,36,1,3,3,3,3,9,12,1,3,3,3,3,1],[1,1,54,64,48,36,144,27,36,64,
48,9,36,12,108,108,162,216,64,192,144,36,144,27,108,72,648,108,162,108,162,64,
192,24,192,48,144,36,64,9,36,12,108,108,162,216,72,108,64,27,36,48,3,48,24,36,
36,1,9,12,1,3,1,3,1],[1,5,10,16,10,10,15,60,60,256,80,160,5,10,20,60,240,90,
90,240,160,160,240,256,1,15,15,180,60,80,180,240,20,80,160,5,15,120,15,120,16,
60,80,5,30,16,20,120,15,20,16,1,1,1,1],[1,12,27,14,37,37,60,27,27,81,13,45,72,
90,39,117,108,135,117,144,108,9,81,81,37,40,120,60,60,80,120,24,48,45,108,135,
108,54,27,27,81,27,27,13,45,48,48,48,48,72,72,72,72,144,72,12,117,48,144,144,
144,108,72,9,18,18,9,9,18,18,9,9,81,81,27,27,1,8,20,40,40,60,8,16,48,24,12,45,
72,72,72,27,27,108,27,27,27,9,27,1,3,24,3,16,48,48,48,48,72,72,12,12,24,48,24,
24,18,9,9,18,18,9,18,9,9,27,27,4,1,4,8,16,8,8,3,3,9,12,12,24,72,9,9,9,9,27,1,
1,1,4,8,12,24,16,12,8,12,1,9,9,9,4,1,3,3,12,12,3,9,4,4,4,1,2,1,3,3,4,1,3,1,
1],[1,5,58,16,32,64,10,10,48,39,84,48,60,128,80,32,352,32,32,128,64,5,12,10,
20,132,240,84,162,90,24,240,120,48,48,144,64,8,16,64,160,160,336,192,32,64,96,
96,96,192,64,1,15,15,36,180,24,216,12,18,24,84,80,90,180,240,12,24,72,36,36,
72,72,72,72,128,128,64,20,32,32,96,32,96,32,8,8,8,16,32,80,48,160,48,96,96,
192,192,192,64,5,15,12,120,15,12,18,12,18,24,48,120,36,36,72,36,36,36,36,72,
72,72,72,64,16,64,64,16,24,84,80,32,32,96,8,16,16,16,48,96,48,96,24,24,32,5,3,
3,30,18,18,18,18,18,24,24,72,72,32,16,32,32,64,12,20,120,2,8,12,8,24,24,48,12,
16,48,24,15,3,9,36,16,16,16,32,2,8,20,12,12,8,12,12,12,24,24,1,9,9,8,16,6,12,
12,3,8,1,1,2,1,3,1,1],[1,135,5,10,100,195,135,486,360,630,135,270,135,10,40,
30,15,105,80,210,60,120,486,135,270,135,135,90,360,90,90,90,720,90,105,135,10,
80,5,40,10,15,20,40,120,60,45,135,135,30,240,90,90,15,15,120,81,162,1,10,10,
20,40,20,20,5,45,10,30,60,15,10,5,10,5,6,10,6,5,1],[1,37,90,64,192,90,90,144,
135,36,432,108,192,192,64,192,576,576,45,36,90,12,108,432,108,162,162,216,432,
216,432,432,256,144,144,192,576,576,576,9,27,27,108,324,72,648,108,162,216,
108,144,162,324,432,108,216,648,324,324,648,768,768,256,96,192,192,144,144,
144,144,144,144,576,576,64,9,27,36,216,12,108,27,108,162,108,108,324,162,216,
216,324,324,648,324,324,324,648,768,288,576,144,144,192,432,432,64,64,64,9,27,
27,36,108,36,108,324,162,162,216,216,324,192,12,48,96,36,144,432,432,64,1,27,
27,108,108,192,12,36,144,36,36,144,9,48,1,12,36,36,48,9,12,4,12,1,1],[1,13,66,
12,112,48,192,30,54,144,63,36,144,36,16,16,60,112,48,264,240,240,384,192,21,
36,30,12,108,144,108,162,54,72,144,216,144,144,48,64,192,192,192,180,36,144,
288,16,216,120,252,144,240,192,72,144,144,144,144,48,3,9,27,108,108,72,648,
108,162,72,108,48,162,108,144,36,72,216,108,108,216,16,16,64,64,64,64,64,64,
48,64,192,384,192,192,3,24,24,192,48,96,432,24,48,48,144,12,12,60,156,36,84,
48,192,288,84,36,120,108,72,144,48,48,216,144,144,64,9,9,36,72,12,108,9,108,
162,36,36,108,54,72,216,108,108,216,108,108,108,216,16,64,64,64,144,144,48,
144,192,12,18,72,72,27,12,192,48,144,60,48,12,16,72,36,108,72,36,72,36,108,
108,48,64,64,64,3,9,27,12,36,36,36,108,54,54,72,72,108,24,48,48,96,96,48,96,
48,48,48,192,144,48,48,48,48,3,3,48,12,24,108,6,24,24,9,9,18,36,36,72,12,27,
36,36,36,18,54,36,36,36,36,36,64,1,9,9,36,36,16,16,16,16,48,72,48,48,1,12,12,
3,3,48,12,36,3,9,9,18,9,9,27,12,12,12,18,18,48,3,3,12,12,24,24,24,12,12,24,36,
36,1,3,3,3,3,3,3,9,9,9,9,16,1,4,4,3,9,4,12,12,12,3,3,1,3,3,12,1,3,3,3,3,3,3,4,
1,1,1,1,3,1,1],[1,5,90,16,10,10,80,55,100,80,60,256,80,480,5,20,10,20,180,240,
140,210,90,40,240,200,80,80,240,256,160,160,400,320,160,320,256,1,15,15,60,
180,40,360,20,30,40,100,80,150,180,240,20,40,120,60,60,120,120,120,120,20,80,
80,160,80,160,320,320,320,256,5,15,20,120,15,20,30,20,30,40,80,120,60,60,120,
60,60,60,60,120,120,120,120,16,40,100,80,80,160,80,160,5,5,5,30,30,30,30,30,
30,40,40,120,120,16,20,20,120,20,40,80,80,15,5,15,60,16,20,20,20,40,40,16,1,
15,15,20,16,5,1,1,5,1,1,1],[1,5,58,16,128,256,10,42,144,39,84,48,60,80,128,
352,128,128,512,256,13,36,10,28,156,240,108,234,90,24,240,216,48,48,144,256,
192,192,384,288,160,336,192,128,256,96,384,384,192,1,15,39,108,180,72,648,108,
162,24,156,80,162,180,240,12,24,72,36,36,72,72,72,72,512,256,20,32,256,128,
128,768,32,128,384,32,160,64,64,256,384,112,48,160,144,96,384,288,192,192,13,
15,36,120,12,108,15,108,162,12,12,36,18,24,216,120,36,36,72,36,36,36,36,72,72,
72,72,144,192,256,16,24,96,84,80,128,128,384,32,64,96,144,96,48,96,96,192,128,
5,3,27,4,12,36,30,12,12,36,18,18,18,18,18,24,24,36,36,72,72,72,72,128,128,64,
256,4,48,16,32,144,8,32,12,28,120,40,64,96,16,36,64,96,24,72,48,48,96,48,1,3,
15,3,9,12,12,12,12,12,36,36,64,128,8,32,20,4,16,16,48,12,24,12,12,12,36,16,32,
48,24,24,1,1,3,3,9,9,9,32,16,64,1,4,4,4,12,24,12,12,12,12,12,12,3,3,9,16,32,1,
1,4,4,4,4,8,12,12,1,4,3,3,4,4,1,1,1,1,1],[1,30,135,5,10,100,195,135,135,405,
486,100,360,630,90,30,360,135,270,90,90,135,405,10,40,30,15,105,80,210,60,120,
486,135,270,360,135,135,135,270,135,405,135,10,90,210,30,120,210,360,90,90,90,
720,90,105,90,120,90,90,90,135,180,486,135,405,135,10,80,5,40,10,15,20,40,120,
60,105,45,90,90,360,90,135,135,45,135,135,10,30,240,30,40,30,120,30,30,90,90,
15,15,120,30,60,60,81,162,45,135,135,1,10,10,20,40,20,20,5,30,15,15,15,120,45,
45,90,81,10,10,10,10,20,30,60,10,15,20,30,15,45,10,10,5,10,5,15,15,30,6,10,10,
10,5,15,6,5,10,6,5,1,1],[1,1,54,12,112,192,192,36,144,27,36,12,64,192,216,48,
192,9,36,12,108,108,162,216,48,256,192,192,192,384,180,144,144,288,144,108,
144,72,144,576,27,108,72,648,108,162,108,162,48,256,192,192,192,384,3,96,24,
192,48,96,432,24,48,192,144,144,36,144,288,36,36,108,216,64,64,128,9,36,12,
108,108,162,216,144,144,144,18,288,72,27,72,108,108,432,64,64,128,27,36,24,48,
192,96,96,48,96,48,48,144,144,64,12,3,48,12,24,108,6,24,96,9,9,36,36,72,12,27,
144,36,54,1,72,64,9,36,18,27,48,3,12,48,24,24,24,12,12,24,36,36,1,3,3,3,12,9,
12,4,3,3,3,3,6,1,1,2,1],[1,37,90,64,192,90,90,144,135,180,432,252,192,192,64,
192,576,576,45,36,90,12,108,432,108,378,378,216,1008,216,432,432,432,256,144,
144,192,576,576,576,576,576,9,63,63,108,756,72,648,108,162,216,108,144,162,
324,432,108,216,648,324,324,648,216,216,216,768,768,256,96,192,192,144,144,
144,144,144,144,576,576,576,64,9,27,36,216,12,108,63,108,162,108,108,324,162,
216,216,216,324,324,648,108,324,324,324,648,216,216,216,768,288,576,144,144,
192,432,144,144,432,64,64,64,9,27,27,36,108,36,54,108,324,54,54,162,162,54,
216,216,324,216,216,216,216,192,12,48,96,36,144,144,432,432,64,64,64,1,27,9,
27,27,108,108,108,108,192,12,36,144,36,36,144,64,9,27,27,48,1,12,36,36,36,9,
48,9,12,4,9,12,1,1,1],[1,5,250,640,10,170,720,135,180,240,60,1536,1280,1280,
640,45,180,10,60,540,240,540,810,90,120,240,1080,240,240,720,1536,800,1920,
640,640,640,1,15,135,540,180,360,3240,540,810,120,540,80,810,180,240,60,120,
360,180,180,360,360,360,360,320,640,2880,320,160,960,1920,640,45,15,180,120,
60,540,15,540,810,60,60,180,90,120,1080,120,180,180,360,180,180,180,180,360,
360,360,360,720,320,960,160,160,160,256,768,5,15,135,20,60,180,30,60,60,180,
90,90,90,90,90,120,120,180,180,360,360,360,360,96,80,160,720,240,480,120,160,
5,15,15,15,45,60,60,60,60,60,180,180,96,80,80,240,120,120,120,1,5,15,15,45,45,
45,20,120,15,15,45,20,10,60,16,48,5,6,10,6,5,1],[1,37,90,12,112,192,192,90,90,
144,135,36,432,108,192,192,156,208,192,360,720,624,768,576,45,36,90,12,108,
432,108,162,162,216,432,216,432,432,48,256,192,192,192,384,180,144,144,288,
192,360,360,540,144,720,576,72,144,576,432,432,576,9,27,27,108,324,72,648,108,
162,216,108,144,162,324,432,108,216,648,324,324,648,48,48,192,192,768,768,192,
192,48,256,192,768,192,576,384,3,96,24,192,48,96,432,24,48,192,432,144,144,
180,180,144,180,144,288,288,180,36,360,108,216,432,576,576,216,432,432,64,64,
128,9,27,36,216,12,108,27,108,162,108,108,324,162,216,216,324,324,648,324,324,
324,648,48,192,768,192,144,144,144,144,576,36,18,288,72,27,36,576,144,432,180,
144,144,192,72,432,108,216,108,216,108,108,432,144,64,64,64,192,192,64,128,9,
27,27,36,108,36,108,324,162,162,216,216,324,24,48,192,96,96,48,96,48,48,144,
288,144,144,144,144,144,64,12,3,48,12,24,108,6,24,96,9,9,54,36,36,72,12,27,
144,36,108,54,54,108,108,108,432,432,64,192,1,27,27,108,108,192,48,48,48,144,
72,144,144,64,64,64,12,36,36,9,9,144,36,108,36,9,36,18,27,27,27,36,36,144,54,
54,48,9,3,12,48,24,24,24,12,12,24,36,36,64,1,3,3,3,12,36,36,27,27,27,27,48,3,
12,48,9,9,12,36,36,36,9,9,12,9,9,12,4,3,3,3,3,6,9,9,12,3,3,3,12,9,1,1,2,1,3,1,
1],[1,45,270,40,240,120,270,270,540,405,270,1620,1296,240,720,720,720,360,720,
1080,135,135,270,90,405,810,810,1620,1620,160,240,120,960,1296,540,270,720,
1080,1080,1080,1080,27,270,405,810,405,810,240,480,240,720,720,120,720,1296,
360,90,360,360,540,540,540,540,270,540,1080,40,40,320,45,405,405,120,360,720,
360,270,270,540,270,270,40,240,120,216,216,135,360,360,162,160,45,45,90,270,
40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,40,40,36,27,1],[1,37,
90,64,192,90,90,144,135,468,432,540,192,192,64,192,576,576,45,36,90,156,540,
2160,108,810,810,216,2160,216,432,432,1296,256,144,144,192,576,1728,576,1728,
576,9,135,135,108,1620,72,648,108,162,216,540,720,162,1620,2160,108,216,648,
324,324,648,648,648,648,768,768,256,96,192,576,192,1728,144,144,144,144,144,
144,1728,576,576,64,45,135,36,1080,12,108,135,108,162,108,108,324,162,216,216,
1080,324,324,648,324,324,324,324,648,648,648,648,1296,768,288,576,144,144,192,
432,432,432,432,576,64,64,64,45,27,27,36,108,36,270,108,108,324,162,162,162,
162,162,216,216,324,324,648,648,648,648,192,12,48,96,36,144,144,432,432,432,
432,64,192,192,1,27,135,27,81,108,108,108,108,108,324,324,192,12,36,144,36,36,
144,144,64,192,192,9,9,27,27,81,81,81,48,1,12,36,36,108,64,27,27,81,48,9,12,
36,9,4,27,12,9,1,1,3,1],[1,5,250,16,320,640,10,170,720,135,180,240,60,1536,
1280,80,320,1120,320,320,1280,640,45,180,10,60,540,240,540,810,90,120,240,
1080,240,240,720,640,1536,880,800,1920,640,800,160,720,960,320,640,480,960,
960,960,640,1536,1,15,135,540,180,360,3240,540,810,120,540,80,810,180,240,60,
120,360,180,180,360,360,360,360,1280,1280,640,20,160,960,320,640,2880,160,320,
960,320,80,720,240,160,960,1920,240,240,160,720,480,960,1440,960,960,640,1536,
45,15,180,120,60,540,15,540,810,60,60,180,90,120,1080,120,180,180,360,180,180,
180,180,360,360,360,360,720,640,800,640,640,16,120,480,180,80,320,320,960,80,
160,160,480,160,720,480,240,480,240,720,320,256,768,5,15,135,20,60,180,30,60,
60,180,90,90,90,90,90,120,120,180,180,360,360,360,360,640,320,160,960,320,640,
96,20,240,80,160,720,40,160,60,60,120,180,240,480,80,180,240,240,120,360,120,
160,240,240,240,5,15,15,15,45,60,60,60,60,60,180,180,160,160,160,320,96,256,
20,80,20,20,80,80,240,60,120,60,60,60,180,80,80,120,120,120,120,120,96,1,5,15,
15,45,45,45,160,80,240,160,5,20,20,20,60,60,60,60,60,60,60,60,120,96,15,15,45,
80,80,1,5,20,10,20,20,20,60,60,16,48,5,20,6,10,15,15,10,20,6,16,5,5,5,5,6,10,
6,5,1,1],[1,45,270,41,280,280,600,270,270,540,405,270,1620,1296,240,720,720,
405,720,1080,270,2160,1080,2160,1080,135,135,270,90,405,810,810,1620,1620,280,
400,1200,600,600,800,1200,960,1920,1296,540,540,270,1080,720,1080,270,270,405,
540,2160,1080,1350,1080,1080,1620,1080,1296,27,270,405,810,405,810,240,720,
720,720,720,720,720,720,720,720,1440,720,120,1080,720,2160,2160,2160,1080,
1296,90,450,450,360,360,720,450,360,360,540,540,540,540,540,540,540,270,540,
1080,135,135,270,405,810,810,1620,1620,1080,40,320,200,400,400,600,320,640,
1920,960,1296,45,405,405,120,360,720,720,720,720,1080,270,540,360,1080,1080,
1080,27,270,270,270,540,270,540,270,270,270,405,810,405,810,40,240,720,720,
720,720,720,720,120,120,240,720,216,216,1296,135,450,360,360,720,720,360,720,
360,360,270,540,540,360,540,540,540,1080,162,40,40,160,320,640,320,320,45,45,
45,45,90,90,90,90,45,270,405,405,40,120,120,120,120,240,360,360,720,216,216,
270,540,270,270,270,162,40,160,320,240,120,216,216,45,135,135,135,135,40,120,
360,360,162,160,45,45,45,90,90,90,45,45,90,270,40,80,40,120,120,120,36,216,
216,162,160,45,45,45,45,135,40,80,40,40,120,36,45,27,40,36,45,40,40,36,27,1,
1],[1,37,90,48,256,192,768,90,90,144,135,468,432,540,192,192,624,640,192,1440,
1152,768,3072,2304,45,36,90,156,540,2160,108,810,810,216,2160,216,432,432,
1296,192,256,768,768,768,1536,288,144,576,1152,192,1440,1440,2160,576,1152,
2304,288,2304,576,3456,1728,576,9,135,135,108,1620,72,648,108,162,216,540,720,
162,1620,2160,108,216,648,324,324,648,648,648,648,192,192,768,768,768,768,768,
768,192,256,768,3072,768,2304,1536,156,96,96,768,768,384,3456,96,768,192,3456,
144,144,288,288,144,288,576,1152,1152,720,144,1440,432,864,3456,576,576,864,
1728,1728,64,256,512,45,135,36,1080,12,108,135,108,162,108,108,324,162,216,
216,1080,324,324,648,324,324,324,324,648,648,648,648,1296,192,768,768,768,576,
576,576,576,2304,144,72,288,288,540,720,1152,1152,3456,288,576,144,192,288,
432,432,864,432,864,864,864,432,1152,64,64,64,768,768,256,512,45,27,27,36,108,
36,270,108,108,324,162,162,162,162,162,216,216,324,324,648,648,648,648,96,192,
192,384,384,192,384,768,192,576,1152,576,576,576,576,576,256,12,12,48,48,96,
432,24,96,96,36,180,1080,72,288,288,48,108,144,288,864,216,216,432,432,864,
432,432,432,64,192,192,768,1,27,135,27,81,108,108,108,108,108,324,324,192,192,
192,192,576,288,576,1152,256,256,256,12,72,288,180,36,144,144,432,36,36,36,72,
108,108,108,108,144,288,144,432,216,216,64,192,192,192,9,9,27,27,81,81,81,12,
48,48,96,96,96,48,48,96,144,288,256,1,12,12,12,12,36,36,108,216,108,108,108,
108,108,108,64,192,27,27,81,12,48,48,36,36,48,144,288,144,64,9,9,36,12,36,36,
36,72,108,108,48,9,4,12,12,12,12,24,36,36,64,27,27,48,12,12,12,12,36,36,9,9,9,
9,1,4,8,1,12,9,4,3,4,1,1],[1,165,2970,176,3520,3520,21120,2970,2970,23760,
4455,5940,71280,17820,228096,3520,31680,126720,7920,10560,31680,47520,95040,
31680,126720,190080,1485,5940,2970,1980,17820,71280,17820,26730,26730,35640,
71280,35640,71280,71280,213840,3520,14080,42240,21120,21120,28160,42240,84480,
168960,228096,248832,23760,23760,47520,190080,31680,190080,47520,47520,71280,
95040,95040,190080,47520,95040,95040,285120,285120,95040,190080,228096,297,
4455,4455,17820,53460,11880,106920,17820,26730,35640,17820,23760,26730,53460,
71280,17820,35640,106920,53460,53460,106920,106920,106920,106920,3520,31680,
42240,42240,42240,42240,126720,126720,126720,126720,253440,126720,21120,31680,
42240,126720,126720,126720,190080,253440,228096,1980,15840,15840,31680,31680,
63360,285120,15840,31680,31680,285120,23760,23760,95040,23760,23760,23760,
23760,47520,95040,190080,23760,23760,47520,71280,142560,285120,95040,95040,
142560,285120,285120,190080,3520,28160,7040,14080,14080,21120,28160,56320,
168960,84480,228096,1485,4455,5940,35640,1980,17820,4455,17820,26730,17820,
17820,53460,26730,35640,35640,35640,53460,53460,106920,53460,53460,53460,
53460,106920,106920,106920,106920,213840,21120,63360,31680,126720,126720,
126720,190080,47520,95040,63360,95040,190080,95040,190080,4752,11880,47520,
47520,17820,23760,95040,95040,285120,23760,47520,23760,47520,31680,47520,
47520,71280,71280,142560,71280,142560,71280,71280,71280,95040,3520,10560,
84480,10560,14080,42240,42240,42240,42240,126720,126720,21120,21120,42240,
42240,84480,84480,248832,38016,38016,228096,228096,1485,4455,4455,5940,17820,
5940,8910,17820,17820,53460,26730,26730,26730,26730,26730,35640,35640,53460,
53460,106920,106920,106920,106920,15840,31680,31680,63360,63360,31680,63360,
31680,31680,47520,95040,95040,63360,95040,95040,95040,95040,95040,190080,
28512,1408,3520,14080,28160,56320,28160,28160,1980,1980,7920,7920,15840,71280,
3960,15840,15840,5940,5940,35640,5940,23760,47520,7920,17820,23760,23760,
71280,35640,35640,35640,47520,71280,71280,71280,71280,71280,7040,10560,10560,
31680,21120,21120,21120,42240,63360,63360,126720,38016,38016,165,4455,4455,
4455,13365,17820,17820,17820,17820,17820,53460,53460,31680,31680,31680,31680,
47520,95040,47520,47520,47520,95040,28512,3520,3520,3520,14080,28160,42240,
84480,14080,21120,28160,42240,38016,38016,1980,5940,23760,5940,5940,23760,
23760,71280,5940,5940,5940,11880,17820,17820,17820,17820,23760,23760,23760,
35640,35640,35640,35640,35640,3520,31680,21120,31680,31680,63360,28512,14080,
297,1485,4455,4455,13365,13365,13365,1980,7920,7920,15840,15840,15840,7920,
7920,15840,23760,23760,47520,3520,7040,14080,7040,10560,10560,21120,21120,
42240,6336,38016,38016,165,1980,1980,1980,1980,5940,5940,17820,17820,17820,
17820,17820,17820,17820,17820,35640,8448,10560,31680,28512,14080,14080,14080,
4455,4455,13365,1980,7920,7920,5940,5940,7920,23760,23760,23760,3520,7040,
3520,7040,10560,10560,21120,20736,6336,297,1485,5940,1980,2970,5940,5940,5940,
17820,17820,8448,7920,4752,14256,7040,14080,1485,6336,660,1980,1980,1980,1980,
3960,5940,5940,1782,3520,10560,2970,4455,4455,8448,7920,3520,7040,6336,1980,
1980,1980,1980,2970,5940,1782,4752,1485,1485,1485,1485,165,660,1320,1782,3520,
2970,1408,165,1980,1782,1485,1408,660,495,297,660,176,165,297,176,165,1]],
[1,2,2,3,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,9,9,9,9,9,9,9,9,9,10,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,27,27,27,27,27,27,27,27,27,27,30,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,55,60,60,60,60,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,81,81,81,81,81,81,81,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,108,108,108,108,108,108,108,108,108,108,108,120,120,128,128,128,128,128,
128,128,128,128,128,128,128,144,144,144,144,144,144,144,144,144,144,160,162,
162,162,162,162,162,162,162,162,162,162,180,180,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,216,216,
216,216,216,216,240,243,256,256,256,256,256,256,256,288,288,288,288,288,288,
288,288,288,288,288,288,324,324,324,324,324,324,324,324,324,360,360,360,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,405,432,432,480,
486,486,486,512,512,512,576,576,576,576,576,576,576,576,576,648,648,648,648,
648,648,648,660,720,768,768,768,768,768,768,768,768,768,768,810,864,960,960,
972,972,1024,1080,1152,1152,1152,1152,1152,1152,1152,1152,1280,1296,1296,1536,
1536,1536,1620,1728,1944,1944,2160,2304,2304,2304,2304,2304,2304,2560,2880,
3072,3072,3072,3072,3456,3456,3456,3840,3888,4608,4860,6912,6912,7680,9216,
9720,10368,13824,15360,20736,25920,27648,46080,77760,82944,13685760],
[556,555,540,554,539,539,483,540,540,476,534,523,402,494,250,539,460,338,519,
514,460,429,364,460,340,292,545,524,540,543,488,396,492,466,467,452,396,444,
402,402,269,539,501,436,483,483,463,436,375,300,250,246,475,476,429,285,460,
292,429,429,395,360,364,292,426,358,358,228,222,358,292,250,553,532,532,489,
415,506,343,492,466,452,492,475,466,416,381,492,452,346,415,416,346,350,351,
352,539,460,436,436,436,436,340,340,340,338,239,338,483,460,438,340,340,340,
292,244,250,543,497,497,460,460,407,212,497,460,460,228,476,476,359,475,475,
476,475,429,362,285,474,473,429,395,325,228,358,358,316,222,222,292,539,463,
521,501,501,483,462,410,300,375,250,545,532,524,452,543,488,532,492,466,492,
492,412,466,452,444,457,415,415,346,414,416,416,412,346,353,353,354,269,483,
408,460,340,340,340,292,429,360,408,358,292,358,292,530,506,426,426,492,475,
364,364,212,475,429,476,429,460,426,429,397,395,325,395,325,396,396,397,364,
539,514,372,514,501,436,436,436,436,340,338,483,483,436,438,376,375,246,441,
440,249,250,545,534,534,528,488,523,515,494,491,412,467,467,466,466,467,452,
452,412,414,353,354,353,354,497,460,460,407,407,460,407,460,460,429,362,360,
408,358,358,359,360,360,292,461,546,539,501,464,410,463,462,543,543,519,519,
497,386,536,497,497,524,528,452,527,475,427,519,492,476,475,396,452,444,457,
429,395,396,395,397,397,521,514,513,459,483,483,483,436,408,408,340,441,440,
555,534,533,534,502,491,491,494,494,494,416,415,460,460,460,460,429,360,426,
429,429,364,461,539,539,539,501,464,438,372,501,483,462,438,441,440,543,527,
475,528,528,474,474,386,523,523,523,506,491,492,494,492,474,475,476,457,457,
457,452,452,539,459,483,459,460,408,461,501,553,545,531,532,502,502,502,543,
519,519,497,497,497,519,519,497,476,475,429,539,521,500,521,513,513,483,483,
438,522,440,441,555,543,543,543,543,523,523,494,493,491,492,494,494,491,492,
457,518,514,460,461,501,501,501,534,533,502,543,519,519,523,523,519,474,475,
476,539,520,539,521,513,513,483,484,522,553,545,528,543,540,528,528,527,494,
495,518,519,530,499,521,501,545,522,550,543,543,543,543,537,523,523,544,539,
514,540,534,533,518,519,539,521,522,543,543,543,543,540,528,544,530,545,545,
545,545,555,550,547,544,539,540,546,555,543,544,545,546,550,552,553,550,554,
555,553,554,555,556],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,7,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,2,
3,3,1,1,1,1,1,1,1,1,1,1,15,1,9,10,9,10,6,7,1,1,1,1,1,1,1,1,1,1,1,6,7,1,1,1,1,
1,1,2,2,2,2,3,2,2,2,2,2,2,3,3,2,1,3,2,2,1,6,6,6,6,6,6,6,6,6,7,7,7,46,1,1,1,1,
1,1,1,15,30,30,30,30,30,30,31,2,2,2,2,54,54,55,9,9,10,9,9,9,10,1,1,1,1,1,1,6,
21,2,3,3,26,5,5,1,1,1,1,5,5,5,1,15,2,2,2,2,2,2,1,2,2,11,11,11,2,2,2,3,11,11,
11,2,11,11,11,3,11,11,3,14,46,46,6,6,6,6,7,9,10,46,6,7,1,1,1,30,30,30,30,30,
30,30,31,9,9,54,55,21,2,55,54,2,3,2,3,9,9,10,2,151,151,152,5,6,6,6,6,6,6,7,46,
46,46,1,5,6,52,247,248,249,15,2,2,2,27,27,2,3,14,27,27,11,11,11,11,11,11,11,
11,14,34,34,34,34,30,30,30,30,30,30,30,30,2,9,9,10,109,21,6,55,54,54,26,73,1,
5,43,43,43,43,5,166,166,166,166,166,167,30,30,30,30,30,30,162,162,164,2,30,28,
27,27,30,30,177,136,11,9,11,54,134,153,151,151,151,153,46,46,46,46,46,6,247,
248,2,11,27,11,27,27,27,74,74,74,34,34,127,127,127,21,55,54,30,9,55,30,293,
151,295,42,151,151,151,152,6,46,42,43,247,248,301,162,162,30,166,166,166,167,
301,166,166,30,166,30,258,30,27,27,134,323,177,323,83,83,229,229,240,151,30,
109,73,43,73,27,73,74,75,75,74,166,166,166,166,166,166,166,166,30,164,162,136,
295,330,330,153,295,151,46,153,151,439,248,247,343,343,30,166,166,301,301,258,
162,166,83,258,258,166,83,323,294,229,127,293,154,295,151,251,162,251,301,301,
301,301,166,301,166,162,318,403,403,229,431,366,295,240,484,439,411,343,343,
301,411,166,162,251,258,413,458,166,498,499,330,295,251,439,343,343,166,343,
343,343,301,301,411,366,403,490,411,343,458,301,403,431,439,301,446,446,446,
411,343,512,498,502,502,412,411,442,343,442,411,479,490,541,535,446,512,502,
541,504,535,549,535,551,542,549,551,552,556],
[(  1,  2)(  3,  5)(  4,  7)(  6, 10)(  8, 13)(  9, 15)( 11, 18)( 12, 20)
( 14, 23)( 19, 28)( 21, 29)( 22, 31)( 24, 34)( 25, 36)( 27, 39)( 32, 45)
( 33, 47)( 35, 50)( 37, 41)( 38, 52)( 40, 55)( 42, 43)( 44, 59)( 46, 62)
( 48, 65)( 53, 69)( 54, 70)( 57, 58)( 60, 77)( 61, 79)( 63, 81)( 66, 84)
( 67, 86)( 68, 88)( 71, 83)( 72, 91)( 75, 82)( 87, 96)( 89,102)( 90,104)
( 92,107)( 93, 99)( 94,109)( 95,111)( 98,114)(101,117)(103,120)(105,123)
(106,124)(108,115)(110,127)(116,133)(121,125)(126,136)(128,130)(129,139)
(131,141)(142,149)(144,151)(146,153)(147,155)(150,158)(152,159)(156,161),
(  1,  3,  6, 11, 19)(  2,  4,  8, 14, 20)(  5,  9, 16, 25, 37)
(  7, 12, 21, 30, 43)( 10, 17, 26, 38, 53)( 13, 22, 32, 46, 63)
( 15, 24, 35, 51, 68)( 18, 27, 40, 56, 73)( 23, 33, 48, 45, 61)
( 28, 41, 57, 74, 93)( 29, 42, 58, 75, 36)( 31, 44, 60, 78, 86)
( 34, 49, 66, 85,100)( 39, 54, 71, 90,105)( 47, 64, 82, 97, 81)
( 50, 67, 87,101,118)( 52, 55, 72, 92,108)( 59, 76, 94,110, 70)
( 62, 80, 91,106,125)( 65, 83, 98,115,132)( 69, 89,103,121,127)
( 77, 95,112,129,140)( 79, 96,113,130,109)( 84, 99,116,134,117)
( 88,102,119,123,133)(104,122,135,143,120)(107,126,137,145,151)
(111,128,138,146,154)(114,131,142,150,124)(136,144,152,160,155)
(139,147,141,148,156)(149,157,162,164,165)(153,161,163,158,159)],
[[[[]]],[[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,
-1,2,-1],[5,-3]]],[[[2,2,1,1,2,-1,1,1],[3,4]]],[[[1,1,2,1],[2,1,3,3,2,1],[4,
-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,5,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,-2]]],[[[1,1,2,1],[2,1,3,3,
2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,
-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[5,1,3,1,4,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[3,3,4,-2,5,2]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]]],[[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[3,3]]],[[[2,2,1,1,2,-1,1,1],[3,3]]],[[[1,1,2,1],[3,
2,1,1,2,-1,3,-1,2,-2],[4,3]]],[[[2,2],[3,1,1,1,2,-2,1,1,3,-1]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-3,4,2]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,1,4,1],[4,2,5,2,3,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,1],[4,1,5,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,-1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,1,8,-1,7,-1,8,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,5,1,4,
1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,
-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,1]]],[[[
2,2,1,1,2,-1,1,1],[3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,3,1,-1,2,1,1,
-1,2,-2]]],[[[1,1,2,1],[2,1,3,3,2,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[4,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1]]],[[[1,
1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[4,
2,7,1,6,-1,4,1,6,1,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1,4,1,6,-1,4,2,6,1,4,
-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,
-1],[4,1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[4,1,3,-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[3,1,4,-1],[5,1,6,1,4,-1,5,-1,4,1,6,-1]]],[[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,
7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,1],[5,1,4,1,6,1,5,1,6,1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,1,3,-1,4,-1,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1],[4,1,5,-2,
3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,2,3,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-1,4,1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[4,1,3,2,5,
-1,4,1,3,-1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,1,3,1,4,1,3,-1,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,2,3,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[4,1,3,-1,4,2,3,2]],[[2,2,1,1,2,-1,1,1],[3,1,2,1,1,1,2,2,1,
1,2,-2,1,1,2,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,3,-1,4,-1],[6,1,5,-1,6,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,1,4,-2,3,-2,4,2,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,3,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-1,4,2,5,1]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[2,2,1,1,2,-1,1,1],[3,2,2,-1,1,
-1,2,2,1,-1,2,-2,1,-1,2,-1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,4,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,-1,2,2,1,1,2,-1,1,
1,3,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,
-1,2,-2],[7,1,5,1,7,2,5,-1,7,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
4]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,1,7,1],[8,1,5,-2,7,1,8,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,
3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,2,-2,4,2,3,
1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,-1,2,2,1,1,2,-1,1,1,3,3]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[7,
1,5,1,7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2,7,3,5,-1,7,1]],[[1,1,2,1],[3,2,
2,1,3,2,1,1,2,-1],[4,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,
1,1,-1,2,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,
4,4,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-1,4,1,3,
-1,4,1]]],[[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,1,8,-1,7,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,
-1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-1],[5,2],[1,1,2,1],[2,1,
1,1],[2,1,7,1,8,2,7,-2],[9,2],[6,1,10,1,6,1,10,1,6,1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,2],[4,1,1,-1,2,1,1,-1,2,-2,4,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,2,5,-3,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[5,2,4,3,5,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,
-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,-2,5,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-1,7,1,5,2,7,-1,5,-1,7,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,-1],[8,2,5,1,7,2,5,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[7,
2,5,1,7,-1,5,1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
1,3,1,4,1,3,-3,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,
3,-1,4,-1,3,3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[3,1,4,-1,5,2,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,
1],[6,1,5,2,6,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,2,5,
-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-2,4,1,5,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,3,3,2]],[[
2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[1,1,2,1],[2,1,
3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,-1]],[[1,
1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,-3,4,-2]]],[[[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1]]],[[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,
-1,2,-2]]],[[[1,-1,2,1,1,-1,2,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2,4,1,3,-1,4,1,3,1,4,-2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[3,1,4,3,3,1,5,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,1],[7,1,6,1,8,1,7,1,8,1]],[[
1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[
6,1,4,-1,6,-2,7,-2]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,1,4,
1,7,1,6,-1,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[
1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-3,6,-2]],[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[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]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,1,5,1,4,
-1,5,1]],[[2,2,1,1,2,-1,1,1],[3,3,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,4,1,5,1]]],[[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,1,3,-1,4,-1,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,2,3,
-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1],[5,1,4,-1,
3,2,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,
-1],[4,1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,1],[5,1,3,-2,4,-1,5,-1,4,-1,3,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[3,2],[3,1,2,2,1,1,2,-1,1,1],[4,2],[5,1,6,1,5,-1,6,-1]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[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]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[6,1,4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,
-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,
-1,4,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,
4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
4,1,3,-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[3,1,4,-1],[4,1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1],[4,1,6,-1,5,-1,
6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,2,4,-1,5,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,1,6,1],[6,2,4,1,7,-1,6,1,7,1,4,2]],[[1,1,2,1],[2,1,3,3,2,
1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[6,1,4,-3,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
1,4,-1],[4,1,5,-2,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,1,4,-1,3,-1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,
-1,4,1,3,1,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
-1],[5,1,4,-1,5,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
2,3,-1,4,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
-1],[5,1,3,2,5,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[3,1,4,-1],[4,1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[4,1,3,2,5,-1,4,1,3,-1,4,1,5,1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[4,1,3,-1,4,1,5,1,4,1,3,2,5,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,
3,1,4,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,3]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,3,1]]],[[[1,1,
2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[6,1,4,1,
6,1],[7,1,8,2,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,6,1,7,1,6,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,4,
-1],[6,1,5,-1,6,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
1,4,1,3,-1,4,1,3,-1,4,1,3,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,
5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-2,7,-1,6,-1,4,-2]],[[1,1,2,1],[
2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[5,2,4,-1,5,1,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[3,1,4,-1,5,2,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[4,1,5,-1,4,2,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,1,4,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,-3,3,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,1,4,1,3,-1,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[5,1,4,1,3,2,5,-1,4,-1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,-1,3,-1,4,-1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,
-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
2],[7,1,6,-2,4,-1,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,
1,1,2,-1,5,-1],[4,-1,6,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[4,1,3,-1,4,-1,3,1,4,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,1,4,4,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2,5,-1,4,1,3,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[3,1,4,2,5,-1,4,-1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[
4,1,3,2,1,-1,2,1,1,-1,2,-2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,4,-1,5,2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,
-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,3]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,3,5,1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-2,4,2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,-1,8,-1,
5,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,
1,1,2,-1],[7,1,5,-3,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,-1,5,-1,4,1,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[4,1,5,1,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[4,2],[5,1,3,2,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,3,1,4,1],[5,1,6,-2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,2,3,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[7,2,8,-1,7,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,
1,6,2,1,1,2,-1],[5,2,7,3,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,-1,5,1,7,1,8,1]]],[[[1,1,2,1],[2,1,
3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[4,1,6,1],[7,1,8,-1,
7,-1,6,-1,8,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,2],[6,-1,7,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,
1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2,7,1,5,-1,7,1,5,-1,7,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,-1,2,-1],[5,-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[
1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-3,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[5,1,7,-1],[9,1,8,
1,9,1,8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,1,7,1,8,1,
5,1,7,1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1],[8,1,5,2,
8,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,2,4,1,5,1]],[[2,2,1,1,2,-1,1,1],[3,
2,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,2,5,-1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[4,-1,5,1,4,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,
3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,1,7,1,5,1,7,-1,8,
-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1,1,-1,2,1,1,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[
6,2,2,1,6,2,1,1,2,-1],[7,1,5,2,7,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2,7,2,5,1,7,1]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,2,5,-1]],[[2,2,1,1,2,-1,
1,1],[3,4]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,
-3,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,2],[5,1,7,-1,8,1,5,1,7,2,8,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,
3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,
4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,
-1,3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1],[5,
1,3,2,5,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,-1,2,1,1,-1,2,
-2,4,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,-1,
5,1,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,-1,2,1,1,-1,2,-2,4,
2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,
2,4,1,6,1,4,2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,
5,-1],[4,1,6,1,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,2,4,1,3,-1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,3,-1,4,1,5,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[4,2,5,-1,4,1,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,4,-1,3,-1,4,-1,5,-1,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,5,-1,3,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,2,4,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,2,5,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2],[3,2,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,-3,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-3,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1],[8,1,9,1,8,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
5,1,7,-1,5,-2,7,1,5,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,1,6,-1],[7,1,4,2,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,-1,3,1,
4,1,3,2]],[[2,2,1,1,2,-1,1,1],[3,1,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1],[4,1,3,
1,4,1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,
1,5,-1,4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,
-2,3,-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[1,
1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1]],[[
1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,3,1,4,-1,5,-1,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2,4,1,3,1,4,1,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,-1,5,2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2],[4,2,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,1],[6,1,5,2,6,1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,3,3,
2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[4,1,6,-1],[7,1,8,1,
7,1,8,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,4,1,5,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-1,4,2,3,
-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,-1]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,2,5,1,4,-1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,1,4,2]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,2]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[5,1,4,1,5,1,3,-2,4,1,3,1,4,-1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,2,-2],[4,1,5,1,4,1,5,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,-1,5,
-2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[6,1,
5,1,6,1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,-1,5,2,4,1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,-1,8,1,7,1,
5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[7,1,5,2,7,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,3,3,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,1,4,1],[5,1,4,1,5,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,1,5,1,7,2,8,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1],[8,
1,5,-2,7,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,
1,2,-1,6,-1,2,-2],[7,1,5,1,7,-1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,
2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,-1,7,1,5,-1,7,1]],[[1,1,2,1],[3,2,
1,1,2,-1,3,-1,2,-2],[4,4]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,
1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,-1,8,1,5,1,7,1]],[[1,1,2,1],[3,2,2,
1,3,2,1,1,2,-1],[4,3]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,
2,1,6,2,1,1,2,-1],[5,2,7,3,5,-1,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,
2],[3,1,1,-1,2,1,1,-1,2,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,-1,2,
2,1,1,2,-1,1,1,3,3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,
4,-4,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[5,2],[7,1,5,1,8,1,7,-1,5,-1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
-1,2,-2],[4,4]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,
2,-1,6,-1,2,-2],[5,2],[8,1,7,1],[8,1,9,1,8,1,9,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,
2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,1,7,2,5,1,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[5,2,7,-1,5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,
2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1,7,-1,5,-3]],[[1,1,2,1],[2,1,1,1],[3,2,
4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2,7,1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,
1],[7,1,8,1],[8,1,9,2,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,
2],[6,1,1,1,2,-2,1,1,6,-1],[7,1,5,1],[7,1,8,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,
1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[7,1,6,-1,4,2,7,1]],[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[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]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1],[5,
1,3,-2,5,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,
3,-1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1],[4,1,
5,-2,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,
3,1,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,3,4,-2,3,1,
4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,1,3,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,1,3,
1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-3,3,
-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1],[4,
1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,1,4,1],[4,1,3,2,5,-1,4,1,3,-1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[3,2],[3,1,2,2,1,1,2,-1,1,1],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[4,1,3,-1,4,1,5,1,4,1,3,2,5,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,
3,1,4,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,3]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,3,1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,1,3,-1,4,2]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,-2,4,2,3,1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1],[4,
1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,
1,2,1],[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]],[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[6,1,7,
1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-3,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,
6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,
4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
-2,3,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
1,5,2,4,-1,5,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,
2,-1,5,-1],[4,1,6,1],[6,2,4,1,7,-1,6,1,7,1,4,2]],[[1,1,2,1],[2,1,3,3,2,1],[4,
-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
2],[6,2,4,1,7,1,6,-1,4,-1,7,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,2,5,-1,4,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,3,-1,4,1,5,-1,4,-1,3,-1,4,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,-1],[6,1,5,-1,6,1,5,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,3,1,5,1,3,
1,4,-2,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,
1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,
1,5,1,4,1,5,-1,4,1,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[4,1,3,-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,2,3,1,4,1,5,-1]],[[2,2,1,1,2,-1,1,1],[3,
3,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[3,1,4,-1,5,2,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[
4,-3]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[
4,1,6,1],[7,1,4,-1,6,-2,7,-1,6,-1,4,-2]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,
1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[4,
1,7,-1,6,-1,7,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[3,1,4,-2,5,1,4,2,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,3,-1,4,-1,5,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,3,4,-1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,-1,3,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2,4,1,3,-1,4,1,3,1,4,-2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,1,4,1,3,-2,4,1,3,-1,4,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,1,4,1,3,-1,4,1]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,1,3,-1,4,1,3,1,4,-2,3,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,2,3,-2,4,1,3,
1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,1,4,1,3,-1,
4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,
-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,1,4,
1,3,-1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,
3,3,4,1,3,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-2,7,-1,6,-1,4,-2]],[[1,1,2,1],[2,1,3,3,2,1],[
4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,
1,4,1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,1,5,-1,4,2,5,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1,3,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,
3,1,4,-1,5,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
1,3,-2,4,2,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
3,1,4,-1,5,1,3,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,1,5,-3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,-1,5,2,4,-1,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2,4,-3,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,
1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,-2,7,-1,5,1,7,-1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,-2,3,-1,2,-1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[
1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1],[8,1,9,1,8,-1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1],[8,
1,5,-2,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,
2,1,1,2,-1],[5,2],[7,1,8,-1,7,-1,8,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[4,2,3,2,4,1,3,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,3,1,
4,1,5,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-1,4,2,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-2,4,2]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[7,1,5,1],[7,1,9,2,7,1,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-1,7,1,5,2,7,-1,5,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
5,-3,7,2,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
2],[6,1,5,-2,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
1,3,-2,4,1,3,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,1,4,-2,5,2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,2,4,-1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,
2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,-1],[8,2,5,1,7,2,5,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[7,1,8,
1],[9,1,8,1,9,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
4,1,3,1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,4,
3,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[
4,2,6,3,4,1,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[6,2,4,-1,6,-1,4,1,6,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
4]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[5,1,7,-1,5,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,1,
4,1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,
1,4,-1],[5,2,4,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,
1,2,-1,5,-1],[4,1,6,1],[4,1,6,-1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,1,3,3,2,
1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[4,2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,
1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1],[7,2,6,1,4,2]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,-1]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,-1,3,2]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[
1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,3,4,1,6,1,7,-1]],[[1,1,
2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,1],[
7,1,4,2,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,
4,1,5,1,4,-2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
5,1,4,-1,5,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
2,3,-1,4,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
1,3,1,4,-1,3,-2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-1,4,1,3,
2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,1,-1,2,1,1,-1,2,-2,4,2]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,2,-2,4,2,3,1]],[[2,2,1,1,
2,-1,1,1],[3,1,2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[
1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-2,4,1,6,2,4,2]],[[1,1,2,1],[
2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
3,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,2,5,2,7,1,5,1,7,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
5,-3,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,
1,2,-1],[5,2],[8,1,7,-1,8,1,7,1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-1,5,2,7,-2]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,2]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,-1,5,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,1,3,-1,4,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,4,1,5,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,2,5,-1,7,-1,8,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,
7,1,5,2,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,
-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,
1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,
-1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
2],[7,1,6,1,4,1,7,1,6,-1,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,-1,5,
-2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,
-1,4,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,-2,4,-1,3,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,-1,5,1,4,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,2,3,
-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,5,2]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,2,5,1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[4,2],[5,2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1,7,2,5,-1,7,1]],[[1,1,2,1],[2,
1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,2,5,1,7,-2,
5,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,-3,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,1,4,3,3,3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,2,4,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,-1,5,2,7,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[5,-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,
1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2,7,1,5,-1,7,1,5,-1,7,-1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,3,5,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[7,1,8,3,
7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,
-1],[5,1,7,-2],[8,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,
1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-2,5,1,7,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,
-1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[5,2],[7,1,5,1,8,1,7,-1,5,-1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,
1,2,-1,6,-1,2,-2],[7,1,5,1,7,1],[8,1,5,2,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,
2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[5,1,7,-1,5,1,7,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,2,5,1,4,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,-1,5,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,2],[8,1,5,1,7,2,8,-1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,-1,8,-1,7,1,5,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,
1,7,-1,8,1,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,
1,6,2,1,1,2,-1],[5,2],[7,1,8,-1,7,-1,8,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[
4,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,
-1,2,-2],[7,1,5,1,7,1],[8,1,5,-2,8,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,-1,7,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[5,2],[5,1,7,1,8,-1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,
-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[7,1,5,-3,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,2],[7,-1,8,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,1,7,1]],[[1,1,2,
1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,1,4,2,5,-1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,1,4,3,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,-3,7,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1,7,-1,5,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-1],[5,2],[1,1,2,1],[2,1,1,1],[2,
1,7,1,8,2,7,-2],[9,2],[10,1,6,1],[11,1,10,-1,6,1,11,1,10,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,4,-2,3,-1],[5,2],[1,1,2,1],[2,1,1,1],[2,1,7,1,8,2,7,-2],[9,2],[
6,1,10,1,6,1,10,1,6,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[6,1,4,-1,6,1,4,-3,6,2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[
1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-2,4,2,6,1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[7,-2,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,
-1],[7,2,5,1,7,-2,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[
6,1,1,1,2,-2,1,1,6,-1],[5,1,7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,3,-1],[5,2],[1,1,2,1],[2,1,1,1],[2,1,7,1,8,2,7,-2],[9,2],[6,1,10,-1,6,1,10,
1,6,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,3,-2],[5,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,1,5,1,7,1,
8,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,
1,1,2,-1],[7,1,5,1,7,3,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[5,1,3,1,4,-1,5,1,4,1]],[[2,2,1,1,2,-1,1,1],[3,2,2,1,1,1,2,2,1,1,2,
-2,1,1,2,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,
1,4,1,5,1,3,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,
4,3,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,-1,
4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-2,5,
1,4,2,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,
4,1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,
3,1,5,1,3,1,4,-2,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[3,1,4,1,5,1,4,1,5,-1,4,1,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,
2],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,
2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
1,4,-2,3,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,2,3,1,4,1,5,-1]],[[2,2,1,1,2,-1,1,1],[3,3,2,1,1,1,2,
2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[3,1,4,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[5,1,4,-1,3,-1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[3,1,4,1,5,-1,4,2,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,3,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,-3,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,2,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,1,5,-1,3,1,4,-1,5,1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,1,4,1,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,3,-1,5,-1,4,-1,3,-1]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,3,1,5,1,3,1,4,-2,5,1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,3,4,1,3,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-2,5,1,4,2,3,1,5,1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,3,1,5,1,3,1,4,-2,5,1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,1,6,1,5,-1,
6,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[
4,2,6,1,4,1,6,2,4,1,6,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-3,6,-1]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,4,
-1,6,-2,7,-1,6,-1,4,-2]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,
2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,2,6,1,4,-2,6,1,4,
-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,
4,1],[6,1,7,1,6,1,7,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,1,6,1],[4,2,6,1,7,1,6,2,4,1,7,-1]],[[1,1,2,1],[2,1,3,3,2,
1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[4,1,6,1],[6,1,4,-1,6,1,4,-2,6,-1,7,-2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[6,1,7,1,6,1,7,1]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,3,3,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-2,4,2,3,1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,3,1,4,1,5,-1]],[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[3,2,5,-1,4,-1,5,1,4,
1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,
-1,3,-1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,
1,4,1,5,-1,4,2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[5,1,4,-1,5,1,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[4,1,3,-2,4,2,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[3,1,4,-1,5,1,4,-2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[4,1,3,-2,4,2,3,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,6,1,7,1,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,-1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-1,5,2,7,2,5,1]],[[1,1,2,
1],[3,2,2,1,3,2,1,1,2,-1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-2,7,-1,5,1,7,-1]],[[1,1,2,1],[3,2,2,1,3,
2,1,1,2,-1],[4,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,-3,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2,4,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,
1,2,-1],[5,1,7,-1,5,-1,7,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,2,5,1,7,-1,5,1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,2,-2],[5,1,4,1,5,1,4,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,2,5,2]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,1,5,-1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,-1]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,5,-1,4,1,3,-1,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,
5,1,6,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[4,2,6,4,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,
2,-1,5,-1],[6,1,4,1,6,1],[7,1,4,2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,
-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,2]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1,7,-1,5,
-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
1,6,1],[7,1,4,2,7,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[4,1,5,-2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1,3,1],[3,2,4,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[5,2,4,-1,5,1,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[5,2,4,3,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,
2,2,1,6,2,1,1,2,-1],[7,1,5,-1,7,1,5,2,7,-1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,1,5,1,7,-1,
8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[7,1,5,-3,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,1,4,-1,5,1,4,1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,
-1,1,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[5,1,7,1],[7,1,8,1,5,-2,8,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,
-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,2]]],[[[1,1,2,1],[2,1,
3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,1,7,-1,6,1,4,
1,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[
4,1,6,1,4,2,6,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,2,4,3,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,1,4,
-1],[5,2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,3,1,4,1,1,-1,2,1,
1,-1,2,-2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,
4,1,5,-1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,
2,1,1,2,-1],[5,2],[8,1,7,-1,8,1,7,1,5,1,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,2,7,-1,5,-2]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,-2,4,1,6,
2]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,-1,8,1,5,1,7,1]],[[1,1,2,
1],[3,2,2,1,3,2,1,1,2,-1],[4,3]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,
2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2,7,3,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1],[8,1,5,-2,7,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,
2],[7,1,5,1,7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,
1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,2,5,1,7,2,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,1,7,2,5,-1,7,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,1,3,1,4,
-1,3,2]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,-1],[3,1,4,-1,3,
1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,
2,-1],[5,2],[8,1,5,1,7,1,5,1,7,-1,8,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,
3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,2],[8,1,7,1,5,1,7,2,8,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,
3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[7,1,5,1,7,-2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[7,-1,8,1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,-1,7,-1,8,
1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,
6,-1,2,-2],[5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,2,7,-1,5,-1,7,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,3,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,
1,1,-1,2,1,1,-1,2,-2,4,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,-1,5,1,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[6,1,5,
-2,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,-4]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-2,5,2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,-2,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,-1,5,-2,4,-1,3,-1,4,-1]]],[[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,1,5,-2,4,1,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,2,5,
2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,
-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,1,
3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,-2]]],[[[1,
1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,-2,4,1,6,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,1,5,-2,4,2,5,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,
-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-2,6,2,4,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-1,4,1,6,1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,1,4,-2,3,-1,5,-1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-1,4,2,3,1]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,4,2,5,1]],[[2,2,1,1,2,
-1,1,1],[3,1,2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[3,1,2,2,1,1,2,-1,1,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,2,2,
1,1,2,-1,1,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,
1,4,1],[4,1,6,1,5,1,6,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,
2,1,1,-1,2,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
1,3,-1,4,-1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
5,1,4,3,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
1,3,-1,4,-1,3,2,4,-1,3,-1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,3,-1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,
1,-1,2,1,1,-1,2,-2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[5,2,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[1,1,2,1],[1,
1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-1,4,-2,6,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,5,2]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,3,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,-1,3,-1]],[[2,2,1,1,2,-1,1,1],[3,
2,2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,1,4,-1,5,-1,4,2,5,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1,3,1],[4,1,3,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,2,4,2,5,1]],[[2,2,1,1,2,-1,1,1],[3,4]]],[[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,2,7,1,6,-1,7,
1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,
4,1,6,-2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
-1,5,1,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,
1,3,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,
6,2,1,1,2,-1],[5,2],[7,2],[9,1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-3]]],[[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[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],[2,1,3,3,2,1],[1,1,2,1],[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]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,2,3,-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,
1,-1,2,-2,1,-1,2,-1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1,3,
1],[3,2,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,
1,1,2,-1],[5,2],[7,1,5,1,7,1,8,-1,5,1,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-1,5,1,7,-1]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,1,4,2,5,-1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,3,3,1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,4,1,3,1,5,1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,5,2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,
7,1],[8,1,9,1,8,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,
2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,1,8,1,7,2]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,
-1],[4,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,
-3,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,
-2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,1,3,1,4,1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,-1,7,1,5,1]],[[
1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,2,8,1,7,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,2,5,1,
7,-1,5,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,
-2,1,1,6,-1],[5,1,7,1],[7,1,5,1],[7,1,9,2,7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,
1,1,2,-2,1,1,6,-1],[5,1,7,1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,
2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,3,5,1,7,-1]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,2,7,-1,5,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[7,1,5,2,7,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,
1,1,2,-1,6,-1,2,-2],[7,1,5,1],[5,2,8,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,
2,-1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,
1,1,2,-1],[7,1,5,-1,7,1,5,2,7,-1,5,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,-1,8,1,7,-1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,
1,7,-1,8,-1,7,1,5,1,7,1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,
1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,1,8,-1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,2,5,1,7,-1,5,-3]],[[
1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1],[9,1,8,1,9,1,8,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,
-1,8,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,
2,1,1,2,-1],[5,1,7,3,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,
2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,-1,5,-1,8,-1,7,-1,8,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,7,-1,5,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,2],[5,
1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,
-1,4,1,3,3,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,
4,-2,3,-2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,1,4,1,3,-1,4,1,3,-1,4,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[4,2,5,-1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,2,4,-1,5,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,4,-3,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,1],[5,1,4,1,5,1,3,-2,4,1,3,1,4,-1]],[[2,2,1,1,2,-1,1,1],[3,1,2,
1,1,1,2,2,1,1,2,-2,1,1,2,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,2,4,-1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[
1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,4,-1,6,-2,7,-1,6,-1,4,-2]],[[1,
1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,
2,1,1,1,2,-1,5,-1],[6,1,4,-3,6,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,
-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,2,6,1,4,-2,6,1,4,
-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
1,6,-1,4,2,6,-1,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]],[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1],[6,1,7,1,6,1,7,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,
5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,
2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,-1,5,1,4,
1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,
4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,
-1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,1,5,-1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,2,3,1,4,-2]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,2,3,2,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,-1,3,-1,4,-1,5,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,1,3,1,4,-1,5,1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,4,-1,5,1,4,1,3,1]]],[[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,-2,3,-1]],[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[4,2,3,-1,4,-2,3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[5,2,4,-1,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,3,-1,4,1,5,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,-2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
3,2],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[7,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[
6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,1,4,2,3,-3,4,-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,
-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,
2,-2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[4,2,3,1,5,1,4,-1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,
-1,2,1,1,-1,2,-2],[4,1,5,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[4,1,3,-1,4,-1,3,1,4,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,3,1,4,1,5,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[
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],[2,1,3,3,
2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,-1,7,-1,6,1,4,
1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,
6,1,4,2,6,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
4,1,3,1,4,-1,5,2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,2,4,-1,5,-2]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,1,4,1,3,1,4,1,5,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,1,5,2,4,1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[4,1,5,-2,4,-1,5,-2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,
-2,1,-1,2,-1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,
1,3,1,4,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,
1,2,-1],[5,2],[7,2],[9,1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,-3,7,-1,5,-1,7,-1]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,1]],[[2,2,1,1,2,-1,1,1],[2,
-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1,8,-1,7,2,8,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,1,8,
-1,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,
2,-1,6,-1,2,-2],[5,2],[7,1,5,1,7,1,8,-1,7,1,8,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,
-1,2,-2],[4,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,
2,-1,6,-1,2,-2],[5,1,7,2],[5,2,8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,2,5,-1,7,-2]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-3,7,-1]],[[
1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[7,-1,8,1,5,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[7,1,5,-3,7,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,-3,7,-2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
4]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,
-1],[7,1,5,1],[7,1,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[
6,1,1,1,2,-2,1,1,6,-1],[7,1,5,1,7,-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[
4,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[5,1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
3,1,4,2,5,-1,4,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[1,-1,2,1,1,-1,
2,-2,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,
2,-1,6,-1,2,-2],[7,1,5,1,7,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[
5,-3]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,4]],[[1,1,2,1],[2,1,1,1],[3,2,
4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,2]],[[1,1,2,1],[2,1,
1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[5,1,7,1],[8,1,5,-2,7,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,-3,7,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[7,1,5,-1,7,-1,5,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,2,4,-3,5,-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,
2,-2,1,-1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,
1,2,-1,5,-1],[4,1,6,-2,4,2,6,1,4,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,
2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,2],[7,1,4,-2,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,1,5,1,7,1,8,1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
7,2,5,1,7,-1,5,-1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[3,1,4,-1,5,1,4,1,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[4,2,5,-1,4,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,2,
2,1,1,2,-1,1,1,3,1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,
2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,2,2,1,1,2,-1,1,1]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,1,5,2,4,1,3,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2,4,-2,3,-1,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,1,4,4,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,
-1,4,1,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,-3]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,-1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[3,2,1,-1,2,1,1,-1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,
2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-1],[7,1,6,-1,7,1]],[[1,1,2,1],[
2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,-2]],[[1,
1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[4,1,3,-1,4,1,3,-3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,3,1,4,2,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[4,1,3,-2,4,-1,3,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[4,1,3,-2,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,1,4,3,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,
1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,3,
1,4,1,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
4,1,5,2,4,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2,5,1,4,1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
2,3,-2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,
-1,5,1,4,1,5,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
4,1,5,2,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,
-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,2,3,1]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,-1,3,1,4,1,3,-2]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-2,3,-3]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,1,3,-1,4,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,2,3,-1]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,1,5,2]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[3,1,2,2,1,1,2,-1,1,1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[3,2,1,-1,2,1,1,-1,2,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[5,1,4,2,5,-1,4,-1,5,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,3]],[[1,1,2,1],[2,1,3,3,
2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,2,
4,1,3,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,
1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,
-3,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,
-1,5,1,4,1,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,3,
3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-2,5,-2,
4,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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,-1,6,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,
-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,-2,4,1,3,1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,2,
6,1,4,1,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,
-1],[6,1,4,1,6,2,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[2,1,3,
3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,1],[7,1,6,1,4,2,6,1,
7,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,
1,4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,2,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,1,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,
2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,7,-1,5,2]],[[1,1,2,1],[3,2,2,
1,3,2,1,1,2,-1],[4,3]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,
2,1,6,2,1,1,2,-1],[7,1,5,-3,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,2,4,-3,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
4]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[7,1,5,1,7,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[
6,2,1,1,2,-1,6,-1,2,-2],[5,-1,7,1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,7,-1,5,-1,8,-1,7,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
5,-3,7,2,5,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,1,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,2,7,1,5,
2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,
-1,6,-1,2,-2],[7,1,5,-1,7,1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[3,1,4,-1,5,-1,4,1,5,-2]],[[2,2,1,1,2,-1,1,1],[3,1,2,1,1,1,2,
2,1,1,2,-2,1,1,2,1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2,4,-1,3,-1,4,1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,-1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[5,2,4,-1,5,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2,5,-1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2,5,1,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,5,-3,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[
5,1,4,-3,5,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,1,4,-2,6,1,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,
-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[3,2],[3,1,4,-1,5,2,4,1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2,4,2,3,1,4,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,
-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,2,3,2,4,
-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,
5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,-1,3,
1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,5,1,4,
-1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[6,1,4,-1,6,-2,4,-1,6,-1,4,-2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[
1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,-1,4,2,6,-1,4,-1]],[[1,1,2,1],[2,1,3,3,
2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-2,4,
2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,1,7,-1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,
2,1,6,2,1,1,2,-1],[5,1,7,-1,5,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,2],[5,1,3,1,5,1,4,1,3,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[4,1,3,-1],[5,1,3,-2,4,-1,5,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-2,4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[4,1,3,-1,5,-2,4,-1,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-2,7,-1,5,1,7,-1]],[[1,1,2,1],[3,2,
2,1,3,2,1,1,2,-1],[4,3]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,
2,2,1,6,2,1,1,2,-1],[5,2,7,1,5,-1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,
2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1,4,-1,6,-2,4,-1]],[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,1,6,-2]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,1,5,1,6,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,-1,3,2,4,
-1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,1,3,1],[5,1,4,
2,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,
1,5,2,4,2]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,1],[4,1,3,1,4,
1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[5,1,6,
1,5,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[3,1,1,-1,2,1,1,-1,2,
-2],[5,1,4,1,5,1,4,-1]],[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,
1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-2,5,2]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,2,3,-1,4,-1]]],[[[1,1,2,1],[2,
1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,-3,6,-1,4,1,6,1]],[[
1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,
-1,4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,
2,-1],[5,2,7,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,
2,2,1,6,2,1,1,2,-1],[7,1,5,-2,7,-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-3,7,-1]],[[1,1,2,1],[
3,2,1,1,2,-1,3,-1,2,-2],[4,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,
-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[5,1,7,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,
1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[8,1,7,1,8,3,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[7,2,5,1,7,-1,5,1,7,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,
1,7,-1,5,1,7,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,
1,2,-2,1,1,6,-1],[5,1,7,-2,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,2,8,-1,7,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,
-1,8,1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,
1,2,-1,6,-1,2,-2],[7,1,5,-2,7,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,-1,7,1,5,1]],[[1,1,2,1],[3,2,1,1,2,
-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,
2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,
2,-2],[7,1,5,-1,7,1,5,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]],[[1,1,2,
1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,
-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,
1,1,6,-1],[5,1,7,-2,5,1,7,-2,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[7,2,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,-1,5,2]],[[
1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,-1,8,1,7,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1,5,2,7,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[
5,1,7,-1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,
1,6,2,1,1,2,-1],[5,2],[8,1,7,-1,5,-1,8,-1,7,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,7,2]],[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,7,-1,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,1,7,-1,5,-1,7,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,
1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[7,-1,8,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,
2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,3,5,-1,7,1]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2],[6,1,5,2,6,-1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[3,-4]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,1,5,-2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[5,1,4,1,5,2,4,-1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,2,5,2,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,
2],[4,-3,2,2,1,1,2,-1,1,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,2,5,-1,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,3,2,
1,-1,2,1,1,-1,2,-2,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[3,2],[4,1,5,2,4,-1,5,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[1,-1,2,1,1,-1,
2,-2,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,
5,-1,4,2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,
4,1,5,-3,4,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,
4,2,3,-1]],[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,2,1,1,
2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,1,4,1,5,2]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[
2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,4,1,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,3,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,-1,4,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,5,1,4,1,3,1,5,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,2,5,1,4,1,5,-2]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,-2,4,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,
1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,1],[7,1,4,-2,7,1]],[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,2,4,-1,6,
1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,
1,2,-1,1,1],[4,2,3,2,4,2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,2,2,1,1,
2,-1,1,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,2]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-2,4,-2]]],[[[1,1,2,1],[2,
1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,
4,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-4,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[3,3,2,2,1,1,2,-1,1,1,3,-1]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,
-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,1,3,1,5,1,4,-1,3,-1,5,-1]],[[2,2,1,1,2,-1,1,1],[3,1,2,-1,1,-1,2,2,1,-1,
2,-2,1,-1,2,-1,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
2],[4,2],[5,1,6,1,5,-1,6,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,1,-1,2,1,1,
-1,2,-2,3,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,3,3,
-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,3,3,
-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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,-1,6,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,
5,1,2,1,1,1,2,-1,5,-1],[4,2],[7,1,6,2,7,-1,4,-1,6,-1]],[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,2,6,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1],[8,4,7,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,
-1],[5,1,7,-1,5,1,7,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[4,1,5,2,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,
1,4,-1,3,2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,
1,5,2,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1],[9,1,8,-1,7,1,9,
1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,1,7,3,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,2]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,
4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,-1,7,1,5,-1]],[[1,1,
2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,
1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,2],[8,-1,7,1,8,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,
-2],[5,1,7,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,
3,1,4,-1,3,-2]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,-3]],[[2,
2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,3]]],[[[1,1,2,1],[2,1,3,3,2,
1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,-2,4,-1,6,-1,4,
-2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,
6,-1,4,2,6,-1,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,
2,-1,5,-1],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-2,4,2,3,1]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]],[[2,2,1,1,
2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,2,3,3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,1,-1,2,
1,1,-1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,
6,2,1,1,2,-1],[7,2,5,2,7,1,5,1,7,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,
3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,-2],[4,1,3,2,4,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-2,4,-1]]],[[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,2]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,-2]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,1,3,-3,4,-1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,1,4,2,5,-1]],[[2,2,1,1,2,-1,1,1],[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1,3,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[3,1,1,-1,2,1,1,-1,2,-2],[4,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,
1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,1,5,1,7,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,
-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,-1,4,1,
3,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2,2,2,1,1,2,-1,1,1]]],[[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-2,5,2]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,2]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,2,3,-1,4,-1]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[3,-1,2,2,1,1,2,-1,1,1,3,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,
3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[5,1,7,1],[8,1,9,1,8,-1,7,-1,
9,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-2,5,2,7,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,-1,7,2,5,2]]],[[[
1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,
1,7,-1,5,-1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,3]],[[1,1,2,1],[2,1,1,1],[
4,1,2,2,3,2,4,1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,
1],[6,2,1,1,2,-1,6,-1,2,-2],[5,-1,7,1,5,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,-3]],[[1,1,2,1],[2,1,1,
1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1,5,-1]],[[
1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,
4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,1,5,1,7,2,8,-1,7,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,-2,7,
-1,5,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-1],[5,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1,4,2,3,-2],[5,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,
1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1,5,2,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,
2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,-1,5,2,7,1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,2,4,1],[5,-3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,2],[4,-1,5,1,4,-1,5,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1,3,3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,
-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,1,3,-1,4,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,1],[5,1,3,
2,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,4]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1],[2,2,1,1,2,-1,1,1],[4,1,3,4,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,
1,1,2,-1,1,1],[3,2],[5,1,4,-1,3,-1,4,-1,5,1,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,1,5,-1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[3,2],[4,-3,2,2,1,1,2,-1,1,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,2],[4,1,3,1,4,1],[6,1,5,1,6,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,5,2,4,-1,5,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,2],[4,-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[
3,2],[4,2],[5,1,6,1,5,-1,6,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,
3,2,1,-1,2,1,1,-1,2,-2,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[4,1,3,1,1,
-1,2,1,1,-1,2,-2,4,1,3,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,
3,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,2,3,
-1]],[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1,3,1],[3,2,4,2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,
-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[4,2,3,2,4,1,3,-1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,2,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,
1,3,1,4,3,3,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,-4,4,-2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[2,1,3,3,2,1],[4,
-3]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
2,6,3,4,1,6,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,
-1,5,-1],[4,1,6,1],[7,2,4,2]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[
2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,4,1]],[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,
7,-1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,
-2,1,1,6,-1],[5,1,7,1,5,1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,
-1,1,1],[3,1,4,1,3,-2,4,1,3,1,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[3,1,4,2,3,2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,
-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,
2,-1],[5,2,7,1,5,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,
2,2,1,6,2,1,1,2,-1],[5,-1,7,1,5,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,
1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-2]],[[1,1,2,1],[2,1,3,3,2,1],[
4,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[7,1,5,1,7,-1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,
1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,3]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,
-1],[5,-3]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,
6,-1,2,-2],[5,1,7,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,
2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[4,1,3,-2,4,1,3,1,4,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1,3,3]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,-3]],[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,3]],[[
1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,
1,7,1,5,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[4,1,3,
1,4,1],[6,1,5,1,6,-1,5,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,4]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[5,1,4,-1,5,2,4,1,5,1]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2,4,1,3,1,4,1,3,-1]],[[2,2,
1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,
2,1],[2,2,1,1,2,-1,1,1],[3,2,4,-2,3,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[4,2,3,2,4,2,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,
2,-1,1,1],[4,1,3,1,4,1,3,-3]],[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,
1,2,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-1,3,-1,4,
-1,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,1,3,
-3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-3,4,1,3,
1]]],[[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,2,1,
1,2,-2,1,1,2,1],[3,-4]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,
-1,3,2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,2],[3,1,4,-1,
5,-1,4,1,3,1,4,1,5,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,4]]],[[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,-1,4,-2,3,-1,4,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-1,4,-2,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[3,-3,4,-2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,
2,1,1,2,-1,1,1],[3,-1,4,-2,3,-2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,-1,2,2,1,
1,2,-1,1,1,3,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,
2,-1,5,-1],[4,1,6,2,4,-1,6,-2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,
5,1,2,1,1,1,2,-1,5,-1],[6,2,4,-1,6,2]],[[1,1,2,1],[2,1,3,3,2,1],[4,-3]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,
-1,7,1,5,1]],[[1,1,2,1],[3,2,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,2,4,
-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,-1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1],[5,2]],[[1,1,2,1],[3,2,1,1,2,
-1,3,-1,2,-2],[4,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,
1,2,-1,5,-1],[4,1,6,2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,
1,1,2,-1,5,-1],[6,1,4,1,6,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[4,1,3,2,4,-2]],[[2,2,1,1,2,-1,1,1],[3,3,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1,3,1,4,-1,3,
2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,4,4,-1]],[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1],[3,-4]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1,5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,-2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,2],[8,-1,7,1,5,
1,7,-1,8,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[
3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[5,1,7,1]],[[1,1,2,1],[
2,1,1,1],[3,2,4,-2,3,-1,2,-1],[1,1,2,1],[6,2,1,1,2,-1,6,-1,2,-2],[7,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1],[2,2],[6,1,1,1,2,-2,1,1,6,
-1],[7,2,5,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[7,1,5,1,7,1,
5,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,
-1],[5,1,7,-1,5,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,1],[5,-3]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2,3,2,4,2,3,-1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,3,4,-1,3,-1,4,-1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[3,2],[4,-3]],[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,
1,1,2,1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2],[2,2,1,1,2,-1,1,1,3,1,4,
2]],[[2,2,1,1,2,-1,1,1],[3,3]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,1,4,2,3,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,
1],[4,1,3,-1,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,1,1,-1,2,1,1,-1,2,
-2,3,-2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[2,
1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,1],[5,1,3,2,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,2],[5,1,3,-2,5,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,
1],[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],[2,1,3,3,2,
1],[1,1,2,1],[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],[2,1,3,3,2,1],[4,-3]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,
1,1,1,2,-1,5,-1],[4,2,6,3]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[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],[2,1,3,3,2,1],[4,-3]]],[[[
1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,1,6,
2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,2,
4,1]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[
4,1,6,1],[4,2,7,-1,6,-1,7,1]],[[1,1,2,1],[2,1,3,3,2,1]]],[[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,-1,2,2,1,1,2,-1,1,1,3,2]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,
2,-2,1,1,2,1,3,-3]],[[2,2,1,1,2,-1,1,1],[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,
3]]],[[[2,2,1,1,2,-1,1,1],[3,3,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[3,1,2,2,1,1,2,-1,1,1,3,1]],[[2,2,1,1,2,-1,1,1],[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1,3,3]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,
1,1],[3,2],[4,-1,3,1,4,1,5,1]],[[2,2,1,1,2,-1,1,1],[3,3,2,-1,1,-1,2,2,1,-1,2,
-2,1,-1,2,-1]]],[[[2,2,1,1,2,-1,1,1],[3,3,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,
-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2]]],[[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,3,3,1]],[[2,1,1,1,2,2,1,1,2,-2,
1,1,2,1],[2,2,1,1,2,-1,1,1],[4,3,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,
-4]]],[[[2,2,1,1,2,-1,1,1],[3,4,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,1,2,2,
1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1],[3,-4]],[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1,3,
2]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,1],[3,2,5,-1,
4,1,5,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1]]],[[[1,1,2,
1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,1,6,-1,4,1,
6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,
-1,6,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-1,2,-1]],[[1,1,2,1],[3,2,1,
1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,
2,-1,5,-1],[6,3,4,-1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,
1,2,-1,5,-1],[6,1,4,1,6,1]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,
2,1,1,1,2,-1,5,-1],[4,1,6,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1],[2,2],[6,1,1,1,2,-2,1,1,6,-1],[5,1,7,1,5,1]],[[2,2],[3,1,1,1,2,-2,1,1,3,
-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[3,1,4,-3,3,-1]],[[
2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[2,2,1,1,2,-1,1,1],[4,1,3,2,4,-1]],[[2,1,1,1,2,
2,1,1,2,-2,1,1,2,1],[3,2]]],[[[2,2,1,1,2,-1,1,1],[3,3,2,-1,1,-1,2,2,1,-1,2,-2,
1,-1,2,-1,3,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1],[3,2]]],[[[1,1,2,1],[2,1,3,3,
2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[4,-1,6,-2]],[[1,1,2,1],[2,1,
3,3,2,1],[1,1,2,1],[1,1,2,-1,5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1,6,1]]],[[[2,1,1,
1,2,2,1,1,2,-2,1,1,2,1],[1,-1,2,1,1,-1,2,-2,3,2]],[[2,2,1,1,2,-1,1,1],[2,-1,1,
-1,2,2,1,-1,2,-2,1,-1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]],[[2,2],[3,1,1,1,2,-2,1,1,3,-1]]],[[[2,2,1,1,2,-1,1,1],[2,-1,1,-1,2,2,1,
-1,2,-2,1,-1,2,-1,3,2]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,1,-1,2,1,1,-1,2,
-2]]],[[[2,2,1,1,2,-1,1,1],[3,2,2,1,1,1,2,2,1,1,2,-2,1,1,2,1,3,1]],[[2,1,1,1,
2,2,1,1,2,-2,1,1,2,1],[3,2]]],[[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,5,
1,2,1,1,1,2,-1,5,-1],[4,1,6,2]],[[1,1,2,1],[2,1,3,3,2,1],[1,1,2,1],[1,1,2,-1,
5,1,2,1,1,1,2,-1,5,-1],[6,1,4,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1,1,-1,2,1,
1,-1,2,-2]],[[2,2,1,1,2,-1,1,1,2,1,1,1,2,2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,2,4,1],[1,1,2,1],[6,2,2,1,6,2,1,1,2,-1],[5,1,7,1,5,-1]],[[1,
1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[2,2,1,1,2,-1,1,1],[3,1,2,1,1,1,2,2,1,1,2,
-2,1,1,2,1,3,-1]],[[2,-1,1,-1,2,2,1,-1,2,-2,1,-1,2,-1]]],[[[1,1,2,1],[2,1,3,3,
2,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,2,3,2,4,1]],[[1,1,2,1],[3,2,2,1,3,2,1,1,2,-1]]],[[[2,1,1,1,2,2,1,1,2,-2,1,
1,2,1]],[[2,2,1,1,2,-1,1,1]]],[[[1,1]],[[2,1]]]]);


AFLT( "U3(3)","U4(3)",[1,2,3,4,7,10,10,13,18,19,20,26,24,28,33,47,52,58,60,68,
82,85,86,94,99,105,136,157,162,170,231,237,242,278,293,374] );

AFLT( "U3(3)","U3(3).2",[1,2,4,5,7,6,9,12,13,17,19,21,23,27,32,33,34,40,39,45,
54,55,56,57,62,63,70,73,74,79,83,87,88,91,94,99] );

AFLT( "U3(3)","L3(9)",[1,2,3,4,7,5,6,12,11,13,18,20,19,17,29,35,32,37,38,42,
56,61,62,66,65,72,82,101,102,110,159,161,164,196,207,384] );

AFLT( "U3(3)","J2",[1,2,4,5,6,10,10,16,13,18,19,20,24,25,26,35,40,48,49,52,55,
60,61,62,68,70,78,86,91,96,111,112,114,124,130,145] );

AFLT( "U4(3)","U4(3).2_3",[1,2,4,5,6,6,7,8,8,10,12,13,18,19,19,16,16,17,21,22,
25,26,26,32,33,38,41,30,42,42,43,47,44,45,46,48,48,49,49,51,56,56,58,57,57,58,
59,65,65,63,63,60,55,55,54,67,67,68,69,72,83,83,84,84,77,79,81,93,88,71,102,
103,104,107,107,113,113,110,110,114,114,115,109,118,119,120,121,121,122,128,
128,133,133,134,137,136,136,137,130,125,138,138,139,139,140,141,142,142,141,
144,143,145,147,146,149,149,148,148,150,151,152,153,151,150,152,153,154,163,
164,167,167,175,175,161,183,176,196,196,185,186,193,193,192,191,194,195,195,
201,201,200,203,203,212,212,213,213,210,223,223,222,222,215,216,207,208,208,
219,233,233,234,236,235,236,235,238,237,227,227,228,230,229,232,232,240,240,
246,246,247,248,248,247,244,245,250,250,249,262,262,255,257,274,280,283,283,
270,269,275,284,284,285,286,286,287,288,288,290,291,290,291,289,289,292,293,
292,293,294,294,295,295,296,301,303,309,309,311,311,305,312,312,329,329,327,
332,332,323,322,316,317,318,318,319,319,320,321,321,336,336,342,345,345,348,
353,353,354,356,356,357,359,360,359,360,361,361,364,363,362,364,365,366,366,
370,370,373,373,368,375,378,378,393,393,383,382,386,394,395,395,396,396,398,
399,399,404,404,403,402,403,402,401,401,405,411,413,412,417,418,417,418,416,
416,414,415,423,423,419,424,428,430,430,431,432,432,434,434,439,439,441,440,
440,441,438,438,436,451,444,445,453,455,457,457,456,456,461,459,463,463,464,
471,473,476,477,482,482,485,484,484,485,486,492,496,496,497,497,498,500,504,
506,507,509,509,510,514] );

AFLT( "U4(3)","U4(3).2_1",[1,3,5,6,7,8,13,15,14,11,12,20,32,34,33,24,25,29,37,
38,40,43,42,50,52,59,64,68,69,70,72,71,73,75,74,76,77,79,78,81,84,83,86,86,85,
85,87,104,105,94,95,91,109,110,111,114,113,124,125,118,140,139,141,142,149,
151,136,161,170,165,173,176,175,180,179,189,188,192,193,195,194,202,205,210,
211,212,213,214,225,226,227,219,220,222,224,224,223,223,239,241,250,251,253,
254,259,255,255,256,256,258,257,260,264,263,261,262,265,266,270,269,268,267,
274,273,272,271,275,310,314,301,302,286,285,305,316,329,346,347,339,340,342,
342,343,343,341,344,345,366,367,374,372,373,385,386,384,383,380,393,394,406,
407,404,405,411,413,412,417,424,423,425,426,426,427,427,429,428,433,434,437,
439,438,442,443,447,446,469,468,472,472,473,473,471,470,477,478,483,491,492,
502,503,523,529,541,542,539,540,519,545,544,546,547,548,549,550,551,555,555,
554,554,552,553,558,558,559,559,557,556,561,560,562,574,571,570,569,580,579,
592,599,598,626,627,628,612,611,607,608,621,621,622,622,619,620,625,624,623,
643,642,659,663,664,665,674,675,677,681,682,683,693,693,694,694,692,691,702,
701,701,702,700,705,706,714,715,711,710,716,724,731,730,740,741,738,739,757,
764,765,766,768,767,770,772,771,780,781,786,786,787,787,784,785,790,797,798,
799,803,803,802,802,801,801,800,800,811,810,815,822,830,836,835,842,846,845,
852,853,860,861,863,863,862,862,859,858,869,872,876,877,880,885,889,890,887,
888,892,897,895,894,903,917,925,926,929,938,937,941,941,942,942,943,949,956,
955,958,957,959,961,969,971,972,974,975,976,982] );

AFLT( "U4(3)","McL",[1,2,3,4,4,4,5,5,5,6,6,8,9,10,10,11,11,11,12,15,16,14,13,
17,17,18,18,19,20,20,21,22,20,23,21,23,23,24,24,26,28,29,29,30,30,28,30,33,33,
34,34,35,32,32,31,39,38,40,40,42,44,45,44,45,43,43,41,46,48,47,49,49,50,50,50,
52,52,53,53,54,54,54,51,56,57,58,60,59,62,63,64,65,66,67,66,67,67,65,69,68,70,
70,76,75,77,78,75,76,78,77,78,72,73,72,74,74,73,73,80,82,81,79,82,80,81,79,84,
89,89,88,87,85,86,90,92,91,98,98,93,95,97,96,93,94,94,97,96,102,102,99,100,
100,107,108,105,106,109,111,110,116,117,118,118,112,115,114,121,123,124,125,
124,126,123,126,126,125,127,127,128,128,129,129,129,130,130,134,135,136,134,
135,136,137,136,141,140,139,143,144,145,142,147,149,154,154,151,150,148,156,
155,157,158,158,158,159,159,162,161,162,160,161,160,163,164,163,165,165,164,
167,166,168,174,173,172,171,175,176,178,180,180,190,189,191,186,186,188,187,
181,182,184,183,185,185,182,183,184,198,197,201,202,203,206,208,207,209,210,
210,210,211,213,211,212,213,212,217,215,214,216,215,223,224,229,228,232,233,
225,234,235,236,240,240,237,238,239,243,244,244,245,245,247,249,248,255,255,
252,254,253,254,253,252,256,268,269,267,263,266,264,265,265,266,269,268,273,
272,274,278,279,280,280,282,283,284,287,286,291,292,292,293,293,291,295,294,
289,303,300,301,304,306,307,308,309,310,312,311,313,313,315,322,327,328,329,
330,330,332,334,335,333,342,345,347,347,350,349,351,353,356,357,358,360,359,
362,372] );

AFLT( "U3(5)","McL",[1,2,4,6,5,8,8,8,7,11,10,12,16,19,18,23,26,26,26,25,33,28,
29,30,32,34,48,50,55,56,56,56,57,61,66,65,67,70,71,71,71,96,97,100,95,103,120,
122,122,122,135,137,134,154,151,179,179,179,195,196,198,197,200,214,217,216,
241,246,264,263,267,281,299,301,298,314,333,336,332,369] );

AFLT( "U3(5)","U3(5).2",[1,2,4,6,7,11,12,11,10,15,16,18,19,25,23,28,29,31,31,
33,37,36,35,36,44,40,51,54,62,58,57,58,63,69,66,65,66,70,77,77,76,81,80,79,81,
84,89,95,96,96,97,98,98,104,102,108,107,108,111,114,114,113,116,120,119,120,
123,126,129,130,130,132,137,137,136,140,145,145,144,147] );

AFLT( "U3(5)","U3(5).3",[1,2,5,7,6,9,9,9,8,13,12,14,15,16,17,18,22,22,22,21,
23,25,25,25,28,27,31,32,35,36,36,36,37,42,47,47,47,44,48,48,48,54,54,52,54,57,
58,60,60,60,62,62,62,66,65,69,69,69,71,73,73,73,74,76,76,76,79,80,81,81,81,84,
85,85,85,88,90,90,90,92] );

AFLT( "U3(4)","U3(4).2",[1,3,4,7,6,8,9,12,17,21,23,25,26,27,32,30,31,36,38,42,
47,48,50,53,55,56,59,60,69,70,72,73,77,79] );

AFLT( "U4(2)","U4(3)",[1,2,2,3,5,6,10,9,9,7,8,11,12,16,13,14,15,16,17,14,20,
22,23,23,24,26,25,27,27,31,30,32,39,40,41,42,50,53,51,48,52,56,60,65,62,64,66,
71,77,79,80,79,76,83,84,86,90,89,87,88,93,91,92,90,92,101,115,103,126,127,131,
133,138,137,145,148,157,159,153,161,158,169,177,184,186,187,195,207,201,208,
220,228,229,230,235,239,240,243,252,257,256,263,272,279,284,287,289,299,308,
311,331,340,334,343,350,378] );

AFLT( "U4(2)","U4(3)",[1,2,2,3,6,5,10,8,8,7,9,11,12,17,13,15,14,17,16,15,20,
23,22,22,24,26,25,27,27,31,29,32,38,40,42,41,51,54,50,49,52,57,60,65,61,63,66,
71,76,78,81,78,77,83,84,86,91,89,88,87,92,90,93,91,93,102,116,104,122,127,130,
132,137,138,145,149,157,158,154,160,159,168,178,185,187,186,194,207,201,209,
221,229,228,230,236,238,241,244,251,256,257,262,273,280,283,288,290,299,309,
311,330,341,335,343,351,379] );

AFLT( "U4(2)","U4(2).2",[1,3,4,6,7,8,13,12,10,14,15,19,23,25,26,34,33,30,28,
35,40,42,41,43,45,56,52,62,65,70,71,72,73,75,77,78,80,87,90,85,89,99,102,108,
106,115,116,128,129,130,136,142,139,141,146,149,151,155,153,154,158,163,159,
162,161,171,178,177,179,180,184,185,195,200,199,207,217,222,218,221,232,239,
242,244,247,248,250,263,258,265,266,268,267,269,275,280,283,284,282,291,296,
300,302,304,308,313,320,324,326,328,335,339,336,341,343,349] );

#############################################################################

#############################################################################
##
#E