CoCalc -- tmalt1.tom

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / tomlib / data / tmalt1.tom
⁹⁸⁵¹⁶⁶ views
#############################################################################
##
#W  tmalt1.tom           GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmalt1.tom,v 4.5 2001/07/05 06:56:41 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the tables of marks of alternating groups.
##
#H  tomlib history
#H  --------------
#H  $Log: tmalt1.tom,v $
#H  Revision 4.5  2001/07/05 06:56:41  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.5 of tomlib coincides with Rev. 4.4 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tmalt1.tom,v
#H  Working file: tmalt1.tom
#H  head: 4.4
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.4.0.8
#H  	GAP4R2PRE2: 4.4.0.6
#H  	GAP4R2PRE1: 4.4.0.4
#H  	GAP4R1: 4.4.0.2
#H  	GAP4B5: 4.2.0.2
#H  	dec16-98b: 4.2
#H  	GAP4b4: 4.1
#H  	version-14-apr: 4.1
#H  	version-15-jun: 4.1
#H  keyword substitution: kv
#H  total revisions: 5;	selected revisions: 5
#H  description:
#H  ----------------------------
#H  revision 4.4
#H  date: 1999/07/01 09:41:58;  author: gap;  state: Exp;  lines: +76 -22
#H  added list of definitions of standard generators
#H  (taken from Thomas Merkwitz's thesis),
#H  changed names of 2.S5`, 3`D4(2), 2`F4(2) to 2.S5', 3D4(2), 2F4(2)
#H  for consistency with the names in the character table library
#H  
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/06/08 10:24:35;  author: gap;  state: Exp;  lines: +26 -82
#H  adjusted to new library version,
#H  start of explicit documentation of chosen standard generators in the
#H  data files (currently only for alternating groups)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1998/09/12 14:20:00;  author: gap;  state: Exp;  lines: +50 -2
#H  added some more fusions to the library of table of marks
#H  T. Merkwitz
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:34:19;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 12:48:33;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tmalt1_tom :=
    "@(#)$Id: tmalt1.tom,v 4.5 2001/07/05 06:56:41 gap Exp $";

SetActualLibFileName("tmalt1");
LIBTOM( "A5",
[[1],[1,2],[1,3],[1,2,4],[1,5],[1,2,3,6],[1,2,5,7],[1,2,3,4,8],[1,2,3,4,5,6,7,
8,9]],
0,[[1],[1,1],[1,1],[1,3,1],[1,1],[1,3,1,1],[1,5,1,1],[1,3,4,1,1],[1,15,10,5,6,
10,6,5,1]],
[1,2,3,4,5,6,10,12,60],
[9,4,6,8,7,6,7,8,9],
[1,1,1,1,1,3,5,4,9],
[(2,4)(3,5),(1,2,5)],
[[[[]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,
-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,1,2,1]],[[1,1]]],[[[1,1,2,1,1,1,2,
1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1]],[[2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,
-1]],[[2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,-1]],[[1,1]]],[[[1,1]],[[2,
1]]]]);


LIBTOM( "A6",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,8],[1,2,3,9],[1,2,4,10],[1,
2,6,7,8,11],[1,3,4,12],[1,2,5,13],[1,2,3,8,14],[1,2,4,7,15],[1,2,3,4,9,10,12,
16],[1,2,3,6,7,8,9,11,14,17],[1,2,4,6,7,8,10,11,15,18],[1,2,3,4,6,9,10,12,16,
19],[1,2,3,5,8,9,13,14,20],[1,2,4,5,7,10,13,15,21],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,3,1],[1,3,1],[1,3,1,1],[1,3,1,1],[1,5,
1,1,1,1],[1,2,2,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,9,2,2,6,6,1,1],[1,9,4,
3,3,1,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,2,2,9,6,6,1,1,1],[1,15,10,6,5,10,6,
5,1],[1,15,10,6,5,10,6,5,1],[1,45,20,20,36,45,15,15,60,60,45,10,36,15,15,10,
15,15,10,6,6,1]],
[1,2,3,3,5,4,4,4,6,6,8,9,10,12,12,18,24,24,36,60,60,360],
[22,11,16,16,13,11,18,17,9,10,11,19,13,17,18,19,17,18,19,20,21,22],
[1,1,1,1,1,1,1,1,3,4,2,1,5,8,7,12,14,15,12,20,21,22],
[(1,2)(3,4),(1,2,4,5)(3,6)],
[[[[]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,
4,-2,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[3,2,2,-1,1,1,2,-2]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,-1]],[[1,
1,2,1],[3,2,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,
2,-2,3,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]],[[1,1,2,1],[3,2,2,1,1,
1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]],[[1,1]]],[[[1,1,2,1],[2,
1,1,1,3,-2,2,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,
3,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2]],[[2,1,1,1],[3,2,2,-1,1,1,2,
-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,1]]],[[[1,1]],[[1,1,2,1],[3,
1,2,1,3,1,1,1,2,-1]]],[[[1,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1]]],[[[1,1]],[[2,
1]]]]);



LIBTOM( "A7",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,8],[1,2,3,9],[1,2,3,10],[1,
2,4,11],[1,12],[1,2,5,6,7,13],[1,3,4,14],[1,2,8,15],[1,2,4,5,16],[1,2,3,5,
17],[1,2,3,5,9,18],[1,2,4,5,19],[1,2,3,7,9,20],[1,2,4,6,21],[1,2,3,6,9,10,
22],[1,2,3,4,10,11,14,23],[1,2,7,8,15,24],[1,4,12,25],[1,2,4,5,6,7,11,13,19,
26],[1,2,3,5,6,7,9,10,13,18,20,22,27],[1,2,4,5,6,7,11,13,21,28],[1,2,3,5,6,7,
10,13,17,29],[1,2,4,5,6,7,11,13,16,30],[1,2,3,4,5,9,14,16,17,18,19,31],[1,2,3,
4,7,10,11,14,23,32],[1,2,3,5,8,10,15,17,33],[1,2,4,6,8,11,15,21,34],[1,2,3,4,
5,6,7,9,10,11,13,14,16,17,18,19,20,22,23,26,27,29,30,31,35],[1,2,3,5,6,7,8,9,
10,13,15,17,22,24,29,33,36],[1,2,4,5,6,7,11,12,13,19,21,25,26,28,37],[1,2,4,5,
6,7,11,12,13,16,21,25,28,30,38],[1,2,3,4,5,6,7,8,10,11,13,14,15,17,21,23,28,
29,32,33,34,39],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,1],[1,5,1,1,1,1],[1,2,2,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,
3,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,7,1,3,1,2,1],[1,9,2,2,6,6,1,1],[
1,5,5,1,1,1],[1,7,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,1,1,3,3,3,2,3,1,1,1,1],[1,9,
4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,5,8,1,3,4,1,
1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[
1,21,5,8,1,9,9,3,18,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,25,10,5,15,15,6,10,
20,15,6,5,10,6,5,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,
8,21,7,7,8,7,7,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,
6,1],[1,105,35,140,35,105,315,126,105,210,420,120,315,70,126,35,35,35,35,105,
105,105,70,126,120,105,105,105,105,105,35,70,21,42,35,21,15,15,7,1]],
[1,2,3,3,4,4,4,5,6,6,6,7,8,9,10,12,12,12,12,12,12,12,18,20,21,24,24,24,24,24,
36,36,60,60,72,120,168,168,360,2520],
[40,27,35,23,35,28,13,24,27,22,11,25,13,32,24,35,35,35,35,27,28,27,32,24,25,
26,27,28,29,30,35,32,36,34,35,36,37,38,39,40],
[1,1,1,1,1,1,1,1,1,3,4,1,2,1,8,5,5,1,5,3,6,3,14,8,12,19,9,21,17,16,5,14,33,34,
31,33,37,38,39,40],
[(1,2,3),(3,4,5,6,7)],
[[[[]]],[[[2,1,1,-1,2,-1,1,-1]]],[[[1,1]]],[[[1,-1,2,1,1,1,2,1]]],[[[1,-1],[3,
1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]],[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]]],[[[
1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[1,-1],[3,1,2,1,1,1,2,1,3,1,2,-1,
1,1,2,-1]]],[[[2,1,1,1,2,-2,1,-1]]],[[[2,1]]],[[[1,1,2,1],[1,-1,2,1,3,2]]],[[[
2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,
1,1,2,-1,3,-1]],[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]]],[[[2,1,1,-1]]],[[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1]],[[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],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,
-1]],[[2,1,1,1,2,1,1,-1,2,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,2,1,1,2,-1,3,1]],[[2,
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],[2,1,3,1,2,1,3,-1,1,1]],[[1,-1,2,-2,1,-1,2,2]]],[[[2,1,1,1,2,-2,1,-1,2,-1,
1,1]],[[1,1,2,2,1,-1,2,1,1,1,2,-1]]],[[[1,1,2,2,1,-1,2,-2]],[[2,2,1,-1,2,1,1,
1]]],[[[1,1,2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,-1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,
-1,1,1]],[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]]],[[[1,1,2,2,1,-1,2,1,1,1,2,-1]],[[
2,-2,1,1,2,2]],[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]]],[[[1,1,2,-1,1,-1,2,1,1,1,2,
1]],[[2,1,1,-1,2,1,1,1,2,-1,1,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,2,1,1,2,1,3,
1]],[[2,2,1,1,2,1,1,-1,2,-1]]],[[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]],[[1,-1,2,1,
1,-1,2,-1,1,1,2,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1]],[[1,-1,2,-2,1,-1,2,
2]],[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,
1,1]],[[1,1,2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,
3,1,2,2,1,1]],[[2,2,1,1,2,-1,1,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,3,1,2,-1,1,1,2,
-1]],[[1,-1,2,1,1,-1,2,-1,1,1,2,1]]],[[[2,2,1,-1,2,1,1,1,2,-1]],[[1,1]]],[[[2,
1,1,1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2,1,
1]],[[2,1]]],[[[1,1,2,2,1,-1,2,2]],[[2,2,1,1,2,1,1,-1,2,-1]],[[2,1,1,1,2,1,1,
-1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1],[4,3]],[[2,1,1,1],[3,1,2,-1,1,-1,3,
1]],[[1,1,2,1],[2,1,3,1,1,1,3,1],[4,2]]],[[[1,1,2,1,1,-1,2,-1,1,1]],[[2,1,1,1,
2,-2,1,-1]]],[[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,-1,2,1,1,-1,2,
-1]],[[1,-1,2,1,1,1,2,1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[2,1,1,
1,2,-2,1,-1]]],[[[1,1]],[[2,1]]]]);



LIBTOM( "A8",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,2,7],[1,2,8],[1,2,3,9],[1,3,10],[1,2,
3,11],[1,2,12],[1,3,13],[1,14],[1,2,5,15],[1,3,4,16],[1,3,4,17],[1,2,5,18],[1,
3,5,19],[1,20],[1,2,8,21],[1,2,7,22],[1,2,3,9,10,23],[1,2,3,6,9,11,24],[1,2,
12,25],[1,2,8,12,26],[1,2,7,12,27],[1,2,3,7,8,9,11,28],[1,2,3,9,12,29],[1,2,3,
7,9,12,30],[1,2,7,8,12,31],[1,2,3,9,13,32],[1,2,3,8,9,12,33],[1,3,6,10,13,
34],[1,2,3,10,11,13,35],[1,4,5,36],[1,3,14,37],[1,3,4,6,38],[1,3,5,6,39],[1,3,
5,6,40],[1,3,4,6,17,41],[1,2,5,7,42],[1,3,5,10,43],[1,2,5,8,44],[1,3,4,13,17,
45],[1,3,4,10,16,17,46],[1,2,3,5,11,15,18,19,47],[1,4,14,48],[1,2,3,6,7,8,9,
11,24,28,49],[1,2,3,7,8,9,11,13,28,32,50],[1,2,3,7,8,9,11,12,27,28,51],[1,2,3,
7,8,9,11,12,21,26,28,31,33,52],[1,2,3,7,8,9,11,12,22,27,28,30,31,53],[1,2,3,7,
8,9,11,12,26,28,54],[1,2,3,7,8,9,10,11,12,23,28,29,30,33,55],[1,2,3,6,9,10,11,
13,23,24,32,34,35,56],[1,2,3,6,9,11,12,13,24,29,32,57],[1,2,3,7,8,9,12,25,26,
27,29,30,31,33,58],[1,3,4,5,16,19,36,59],[1,2,4,5,15,18,36,60],[1,3,4,5,16,17,
36,61],[1,3,13,14,37,62],[1,5,20,63],[1,2,3,4,6,9,11,17,24,38,64],[1,3,5,6,10,
13,19,34,43,65],[1,2,3,5,7,9,12,19,30,42,66],[1,2,3,5,9,10,18,23,43,67],[1,2,
5,7,8,12,15,31,44,68],[1,2,5,7,18,22,42,69],[1,2,3,5,10,11,13,15,35,43,70],[1,
3,4,6,10,13,16,34,38,71],[1,2,5,7,8,12,15,31,42,72],[1,2,5,8,18,21,44,73],[1,
2,3,5,8,9,12,19,33,44,74],[1,2,5,12,18,25,75],[1,3,4,6,10,13,16,17,34,41,45,
46,76],[1,3,5,6,10,13,19,34,39,77],[1,3,5,6,10,13,19,34,40,78],[1,3,4,14,17,
37,48,79],[1,2,3,6,7,8,9,11,12,21,24,26,28,31,33,49,52,54,80],[1,2,3,7,8,9,10,
11,12,21,22,23,25,26,27,28,29,30,31,33,52,53,55,58,81],[1,2,3,6,7,8,9,11,12,
22,24,27,28,30,31,49,51,53,82],[1,2,3,7,8,9,11,12,13,21,26,27,28,31,32,33,50,
51,52,83],[1,2,3,7,8,9,11,12,13,22,26,27,28,30,31,32,50,53,54,84],[1,2,3,6,7,
8,9,10,11,12,13,23,24,28,29,30,32,33,34,35,49,50,55,56,57,85],[1,2,3,7,8,9,10,
11,12,23,26,27,28,29,30,33,51,54,55,86],[1,3,4,5,13,16,19,36,59,87],[1,3,4,5,
10,16,17,19,36,46,59,61,88],[1,3,4,5,6,17,36,38,39,40,41,89],[1,2,3,4,5,11,15,
16,18,19,36,47,59,60,90],[1,2,3,5,6,7,8,9,11,24,28,39,44,49,91],[1,2,3,5,6,7,
8,9,11,24,28,40,42,49,92],[1,2,3,4,6,7,8,9,11,17,24,28,38,41,49,64,93],[1,2,3,
4,6,9,11,12,13,17,24,29,32,38,45,57,64,94],[1,2,3,4,6,9,10,11,13,16,17,23,24,
32,34,35,38,46,56,64,71,95],[1,2,3,5,7,8,9,11,12,15,18,19,21,26,28,31,33,44,
47,52,68,73,74,96],[1,2,3,5,6,9,10,11,13,15,18,19,23,24,32,34,35,43,47,56,65,
67,70,97],[1,2,3,5,7,8,9,11,12,15,18,19,22,27,28,30,31,42,47,53,66,69,72,98],[
1,2,8,20,21,99],[1,2,7,20,22,100],[1,3,4,6,14,16,37,38,101],[1,3,5,10,14,19,
37,43,102],[1,3,4,13,14,17,37,45,48,62,79,103],[1,2,3,6,7,8,9,10,11,12,13,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,49,50,51,52,53,54,55,56,57,58,80,81,
82,83,84,85,86,104],[1,3,4,5,6,10,13,16,17,19,34,36,38,39,40,41,45,46,59,71,
76,77,78,89,105],[1,2,3,4,5,10,11,13,15,16,17,18,19,35,36,46,47,59,60,61,87,
88,90,106],[1,2,3,5,6,7,8,9,11,12,15,21,24,26,28,31,33,40,42,49,52,54,72,80,
92,107],[1,2,3,5,6,7,8,9,11,12,15,22,24,27,28,30,31,39,44,49,51,53,68,82,91,
108],[1,2,3,5,6,7,8,9,11,12,18,21,24,26,28,31,33,39,44,49,52,54,73,80,91,
109],[1,2,3,5,6,7,8,9,10,11,12,13,19,23,24,28,29,30,32,33,34,35,40,42,49,50,
55,56,57,66,78,85,92,110],[1,2,3,5,6,7,8,9,10,11,12,13,19,23,24,28,29,30,32,
33,34,35,39,44,49,50,55,56,57,74,77,85,91,111],[1,2,3,5,7,8,9,10,11,12,18,21,
22,23,25,26,27,28,29,30,31,33,42,43,44,52,53,55,58,67,69,73,75,81,112],[1,2,3,
5,6,7,8,9,11,12,18,22,24,27,28,30,31,40,42,49,51,53,69,82,92,113],[1,2,3,4,6,
7,8,9,10,11,12,13,16,17,23,24,28,29,30,32,33,34,35,38,41,45,46,49,50,55,56,57,
64,71,76,85,93,94,95,114],[1,3,4,6,10,13,14,16,17,34,37,38,46,62,71,101,115],[
1,2,3,5,10,11,13,14,15,18,19,35,37,43,47,62,70,102,116],[1,2,3,4,5,6,7,8,9,11,
17,24,28,36,38,39,40,41,42,44,49,64,89,91,92,93,117],[1,3,5,6,10,13,19,20,34,
40,43,63,65,78,118],[1,3,5,6,10,13,19,20,34,39,43,63,65,77,119],[1,2,5,7,18,
20,22,42,63,69,100,120],[1,2,5,8,18,20,21,44,63,73,99,121],[1,2,5,7,8,12,15,
20,31,42,44,63,68,72,122],[1,3,4,5,6,14,16,17,36,37,38,39,40,41,48,61,79,89,
101,123],[1,2,3,5,6,7,8,9,10,11,12,13,15,18,19,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,42,43,44,47,49,50,51,52,53,54,55,56,57,58,65,66,67,68,69,70,72,
73,74,75,80,81,82,83,84,85,86,96,97,98,104,112,124],[1,2,3,5,6,7,8,9,10,11,12,
13,15,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,40,42,47,49,50,51,52,
53,54,55,56,57,58,66,69,72,78,80,81,82,83,84,85,86,92,98,104,107,110,113,
125],[1,2,3,5,6,7,8,9,10,11,12,13,15,18,19,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,39,44,47,49,50,51,52,53,54,55,56,57,58,68,73,74,77,80,81,82,83,84,
85,86,91,96,104,108,109,111,126],[1,2,3,4,5,6,7,8,9,11,12,15,17,18,21,24,26,
28,31,33,36,38,39,40,41,42,44,49,52,54,60,64,72,73,80,89,91,92,93,107,109,117,
127],[1,2,3,4,5,6,7,8,9,11,12,15,17,18,22,24,27,28,30,31,36,38,39,40,41,42,44,
49,51,53,60,64,68,69,82,89,91,92,93,108,113,117,128],[1,2,3,4,5,6,7,8,9,10,11,
12,13,16,17,19,23,24,28,29,30,32,33,34,35,36,38,39,40,41,42,44,45,46,49,50,55,
56,57,59,64,66,71,74,76,77,78,85,89,91,92,93,94,95,105,110,111,114,117,129],[
1,3,4,5,6,10,13,14,16,19,34,36,37,38,43,59,65,71,87,101,102,130],[1,3,4,5,6,
10,13,14,16,17,19,34,36,37,38,39,40,41,45,46,48,59,61,62,71,76,77,78,79,88,89,
101,103,105,115,123,131],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,49,50,51,
52,53,54,55,56,57,58,59,60,64,66,68,69,71,72,73,74,76,77,78,80,81,82,83,84,85,
86,89,90,91,92,93,94,95,96,98,104,105,107,108,109,110,111,113,114,117,125,126,
127,128,129,132],[1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,23,24,32,34,35,36,
37,38,43,46,47,56,59,60,61,62,64,65,67,70,71,87,88,90,95,97,101,102,106,115,
116,130,133],[1,2,3,5,6,7,8,9,10,11,12,13,15,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,40,42,43,44,47,49,50,51,52,53,54,55,56,57,58,63,65,66,67,
68,69,70,72,73,74,75,78,80,81,82,83,84,85,86,92,96,97,98,100,104,107,110,112,
113,118,120,122,124,125,134],[1,2,3,5,6,7,8,9,10,11,12,13,15,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,39,42,43,44,47,49,50,51,52,53,54,55,56,
57,58,63,65,66,67,68,69,70,72,73,74,75,77,80,81,82,83,84,85,86,91,96,97,98,99,
104,108,109,111,112,119,121,122,124,126,135],[1,3,4,5,6,10,13,14,16,17,19,20,
34,36,37,38,39,40,41,43,45,46,59,62,63,65,71,76,77,78,87,89,101,102,105,115,
118,119,130,136],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,3,1],[1,2,
1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[
1,1],[1,7,7,1],[1,7,7,1],[1,1,6,3,4,1],[1,3,4,1,3,3,1],[1,1,3,1],[1,3,1,2,1],[
1,3,1,2,1],[1,5,2,1,1,1,4,1],[1,1,2,1,2,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,1,
2,1,2,1],[1,3,2,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1],[1,5,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,1,1,3,1,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1],[1,9,6,2,3,3,
9,18,6,9,1],[1,5,2,1,1,1,4,4,1,2,1],[1,5,2,1,1,1,4,4,2,1,1],[1,9,2,1,7,1,4,2,
1,1,1,2,2,1],[1,9,2,7,1,1,4,2,1,1,1,2,2,1],[1,5,2,1,1,1,4,4,2,1,1],[1,5,6,1,1,
3,4,4,2,1,1,1,2,2,1],[1,3,8,1,5,4,3,2,1,1,1,2,2,1],[1,3,4,1,3,3,2,2,1,1,1,1],[
1,5,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,
3,1,1],[1,5,5,1,1,1],[1,7,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,7,4,7,4,
1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,
7,4,7,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,9,1,1,3,3,2,3,3,1,1,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,5,1,1,5,1,1,1],[1,13,6,2,
3,9,9,18,6,1,6,3,9,6,6,1,3,3,1],[1,13,6,7,7,3,4,12,6,1,1,1,2,3,3,3,3,6,6,6,3,
3,3,6,1],[1,13,6,2,9,3,9,18,6,1,6,3,9,6,6,1,3,3,1],[1,9,2,1,7,1,4,6,4,1,1,2,1,
2,2,2,1,1,1,1],[1,9,2,7,1,1,4,6,4,1,2,1,1,2,2,2,1,1,1,1],[1,9,10,2,3,3,11,4,
18,2,4,1,6,9,1,2,2,2,4,4,1,1,1,2,2,1],[1,5,6,1,1,3,4,4,10,1,2,2,1,1,2,2,1,1,1,
1],[1,9,2,2,9,6,6,1,1,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,3,5,8,1,3,4,1,1,1,1,
1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,6,16,2,3,3,9,18,6,9,8,12,1,1],[1,9,6,
16,2,3,3,9,18,6,9,8,12,1,1],[1,9,6,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,3,4,4,1,
3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,16,4,1,9,12,3,6,8,4,3,1,3,6,6,1,4,3,1,2,1],[1,
13,6,4,3,7,3,12,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,7,12,4,3,9,4,9,6,4,4,4,1,
3,3,6,6,1,4,3,1,1,1,1],[1,13,6,4,7,3,3,12,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,
7,7,8,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,
15,1,5,1,5,1,3,1,1],[1,17,10,2,9,9,11,4,26,14,4,1,1,1,6,2,5,5,11,3,10,14,2,10,
4,4,1,1,3,5,5,3,3,2,2,6,1,1,1,1,1,1,1,1],[1,21,5,8,1,9,9,18,3,24,9,4,1,1,1,1,
3,3,4,3,3,3,3,1,1],[1,6,15,2,2,9,9,9,2,8,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,21,6,
16,2,3,21,9,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,21,6,16,2,21,3,9,
18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,13,6,16,2,3,9,9,18,6,16,1,6,3,
9,6,6,8,12,1,3,3,4,1,1,1],[1,9,18,16,2,3,3,15,12,18,6,12,16,3,6,9,3,6,6,6,12,
12,8,12,1,3,3,6,6,4,8,3,1,1],[1,9,18,16,2,3,3,15,12,18,6,12,16,3,6,9,3,6,6,6,
12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,13,6,16,7,7,3,4,12,6,16,1,1,1,2,3,3,3,3,6,
6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,13,6,16,2,9,3,9,18,6,16,1,6,3,9,6,6,8,12,1,
3,3,4,1,1,1],[1,9,18,4,2,3,3,15,12,18,6,12,8,12,3,6,9,3,6,6,6,12,12,1,4,4,4,1,
3,3,6,6,3,2,4,3,1,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[1,10,15,
10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,9,6,8,32,2,3,3,9,18,24,6,9,16,2,8,
8,8,12,12,1,6,8,1,1,2,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,
28,8,21,7,7,8,7,7,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[
1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,15,11,20,5,6,10,15,10,6,5,5,5,5,6,10,6,
5,1,1],[1,25,18,16,6,13,13,27,4,54,30,12,16,16,16,1,1,1,18,2,9,9,27,3,18,30,6,
18,12,12,4,4,4,16,3,3,9,9,9,9,3,6,6,6,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,3,3,4,4,4,
3,1,1],[1,25,18,16,2,9,21,15,12,42,30,12,16,16,16,3,1,3,6,6,15,9,15,9,18,30,6,
30,12,12,8,12,16,1,3,3,15,9,9,9,6,6,18,4,4,12,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[
1,25,18,16,2,21,9,15,12,42,30,12,16,16,16,1,3,3,6,6,9,15,15,9,30,30,6,18,12,
12,8,12,16,1,3,9,9,15,3,9,6,6,18,12,4,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,21,
6,8,32,2,3,21,9,18,18,16,24,48,3,6,9,9,18,18,16,2,8,8,8,12,12,1,9,9,16,6,12,
12,3,8,1,1,2,1,3,1,1],[1,21,6,8,32,2,21,3,9,18,18,16,24,48,3,6,9,9,18,18,16,2,
8,8,8,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,9,42,8,32,2,3,3,27,36,18,
18,36,48,24,96,9,6,9,9,18,18,18,36,36,16,2,8,8,8,12,12,24,24,1,9,9,18,18,16,6,
12,12,12,24,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,45,20,20,15,15,45,36,60,60,45,
10,36,15,15,10,15,15,10,6,6,1],[1,45,11,20,5,45,45,6,50,45,60,45,10,6,5,5,5,5,
15,45,6,10,20,18,15,15,15,15,6,10,5,1,6,5,3,1,1],[1,33,42,8,32,2,21,21,27,36,
90,54,36,32,48,24,96,96,3,3,9,6,18,27,27,27,27,54,54,18,54,36,36,16,2,8,8,8,
12,12,24,24,96,1,9,9,27,27,9,27,18,18,54,16,32,6,12,12,12,12,12,12,12,24,24,
24,3,9,3,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,15,
60,20,20,15,45,60,45,90,36,20,80,60,60,60,15,15,45,90,90,10,36,15,15,60,60,45,
10,20,20,36,15,15,15,15,30,10,10,10,15,15,6,6,10,6,6,1,1],[1,49,42,112,14,21,
49,63,28,126,126,84,112,112,112,64,7,1,7,42,14,63,21,63,21,42,126,42,126,84,
84,56,84,28,28,112,7,21,21,63,21,63,21,42,42,42,64,28,28,28,28,28,28,84,28,28,
56,56,21,7,7,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,49,42,112,14,
49,21,63,28,126,126,84,112,112,112,64,1,7,7,42,14,21,63,63,21,126,126,42,42,
84,84,56,28,28,84,112,7,21,63,21,63,21,21,42,42,42,64,28,28,28,84,28,28,28,28,
28,56,56,7,7,21,21,21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1],[1,105,35,
140,35,105,315,126,210,105,420,120,315,70,126,35,35,35,35,105,105,105,70,126,
120,105,105,105,105,105,70,35,21,42,35,21,15,15,7,1],[1,105,210,56,560,70,105,
105,315,420,630,630,1260,336,560,560,840,1680,1680,960,15,15,105,210,210,315,
315,315,315,630,630,630,630,1260,1260,280,336,70,280,280,280,420,420,420,840,
840,1680,336,35,315,315,315,315,315,315,630,630,630,280,560,560,1008,960,210,
420,420,420,420,420,420,420,420,420,420,840,840,840,840,336,105,105,105,315,
315,315,315,280,280,280,280,35,35,70,210,210,420,420,420,120,120,56,168,336,
315,280,280,35,35,105,105,105,105,105,210,168,168,35,120,120,120,120,120,56,
105,105,105,35,35,35,28,56,35,28,15,15,8,1]],
[1,2,2,3,3,4,4,4,4,4,4,4,4,5,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,
12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,16,16,16,18,18,18,20,21,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,30,32,32,32,32,32,32,32,36,36,36,
36,48,48,48,48,48,48,48,48,56,56,60,60,60,64,72,72,96,96,96,96,96,96,96,96,
120,120,144,168,168,168,168,168,180,192,192,192,288,288,288,360,360,576,720,
1344,1344,2520,20160],
[137,124,114,131,90,129,125,126,104,97,85,81,56,103,90,88,76,47,47,63,135,134,
124,114,112,104,104,104,104,81,81,85,81,56,56,106,103,129,105,105,105,98,97,
96,76,76,47,103,132,104,104,104,104,104,104,85,85,81,106,90,88,62,63,114,97,
98,97,96,98,97,95,98,96,96,75,76,77,78,103,126,124,125,104,104,104,104,106,
106,105,106,132,132,129,114,114,96,97,98,121,120,131,116,103,104,105,106,132,
132,126,125,126,124,125,114,115,116,132,118,119,120,121,122,131,124,125,126,
132,132,132,133,131,132,133,134,135,136,137],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,1,1,5,1,1,1,1,1,2,1,1,1,1,2,2,1,2,3,3,1,14,6,
6,6,1,7,10,8,4,4,5,1,1,2,2,2,2,2,2,3,3,2,36,5,4,14,20,6,43,42,10,44,7,43,38,
42,8,44,25,17,39,40,14,8,2,7,8,7,9,9,36,36,6,36,49,49,6,38,38,44,43,42,21,22,
101,102,48,28,89,59,92,91,49,92,91,81,49,64,101,102,49,118,119,100,99,122,101,
112,92,91,92,91,117,130,123,117,130,134,135,136,137],
[(1,2,3),(2,3,4,5,6,7,8)],
[[[[]]],[[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[1,-1,2,1,1,1,2,-1]]],[[[1,1]]],[[[1,
-1,2,-1,1,-1,2,-1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[1,-1],[3,1,2,
-1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,-1,2,1,1,-1,2,-1]],[[2,1,1,
-1],[3,1,2,1,3,1,2,1]]],[[[1,1,2,1],[2,2,1,-1],[3,1,4,-2,3,-1]],[[1,-1],[2,1,
1,-1,2,1],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,3,1],[1,-1,4,1,3,1,4,1,3,1]],[[2,
1,1,1,2,1,1,1,2,1,1,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,2,1,-1,
2,-1,1,1,2,-1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-2,3,-1]],[[1,-1,2,2,1,-1,2,
2]]],[[[2,2,1,-1]]],[[[2,1,1,1,2,-3,1,1,2,1]]],[[[2,2,1,-1,2,-1,1,-1]]],[[[1,
-1],[1,1,2,1],[3,1,2,1,4,2,3,1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]]],[[[1,-1],[3,
1,2,-1,1,1,2,-1,3,1,2,2]],[[1,1,2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,
2]]],[[[1,1,2,1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,2,1,1,2,1,1,1,
2,-1]]],[[[2,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[4,1,3,1,5,-1,4,-1,3,1,5,
-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[1,1,2,1],[1,-1,3,-1,2,-1],[4,1,3,-1,4,1,
3,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1],[4,1,3,-1,4,1,3,1]],[[2,1,1,-1],[3,1,2,1,
3,1,2,1]],[[1,1,2,1],[3,1,2,1,3,1,1,-1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[3,1,2,2,
1,1,3,-1,2,-1,3,-1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,-2,1,1,2,1,1,-1,2,
1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1]],[[1,1,
2,1],[3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,1,2,1,1,1,2,-1]],[[1,1,
2,1],[3,1,1,-1,2,2,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,
1,2,1,3,1]]],[[[1,-1],[3,1,2,1,1,-1,2,2,1,-1,2,-1,3,1]],[[1,1,2,2,1,-1,2,2,1,
1]]],[[[1,1,2,1],[2,2,1,-1],[3,1,4,-2,3,-1]],[[1,1,2,2,1,-1,2,2,1,1]],[[1,
-1],[2,1,1,-1,2,1],[3,1,4,-2,3,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,3,1,2,2,1,
1]],[[1,1,2,3,1,-1,2,1,1,1]]],[[[1,1,2,-3,1,1,2,-1]],[[1,1,2,-1,1,-1,2,
1]]],[[[1,1,2,2,1,-1,2,2,1,1]],[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[2,1,1,-1,2,-2,
1,-1,2,1,1,-1,2,1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,2,1,-1]],[[1,1,2,-1,
1,-1,2,1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[1,1,2,2,1,-1,2,-1,1,1,
2,-1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[1,-1],[2,1,1,-1,2,1],[3,1,
4,-2,3,-1]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,1,3,-1]],[[2,1,1,1,2,1,1,1,2,
-2]]],[[[1,1,2,-2,1,-1,2,2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1,2,-2,1,-1,2,1,1,
-1,2,1]],[[1,1,2,2,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,
1,4,-1]],[[1,1,2,1],[2,-1,3,2,2,1]]],[[[1,1,2,-1,1,1,2,2,1,-1,2,1,1,1]],[[2,2,
1,1,2,1,1,1,2,-1]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,1,3,-1]],[[2,2,1,-1,2,-1,1,1,
2,-1]],[[2,2,1,1,2,-1,1,-1,2,-1]]],[[[1,-1,2,2,1,-1,2,2]],[[1,1,2,1,1,1,2,
1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2]],[[2,2,1,1,2,1,1,1,2,-1]]],[[[1,-1,
2,2,1,-1,2,2]],[[1,-1,2,1,1,1,2,1,1,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,2,2,
1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,1,3,-1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,
3,1]],[[2,2,1,1,2,-1,1,-1,2,-1]]],[[[1,-1],[3,1,2,1,1,1,2,2,1,-1,2,1,3,-1]],[[
1,-1,2,2,1,-1,2,2]]],[[[1,1,2,2]]],[[[1,1,2,1],[3,1,2,2,1,-1,2,-1,1,1,2,-1,3,
-1]],[[1,1,2,-2,1,1,2,1,1,-1,2,1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,
-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1,3,
1,4,-1,2,2,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[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,-1,4,-1,2,-1,3,
-1,4,-1]],[[1,1,2,-1,1,-1,2,1]],[[1,-1],[3,1,2,2,1,-1,2,1,1,1,2,1,3,1]]],[[[1,
-1],[1,1,2,1],[3,1,2,2,4,2,1,1,2,-1,3,-1]],[[1,1,2,-1,1,-1,2,1]],[[1,-1],[1,1,
2,1,3,1,2,2,3,1,2,1,1,-1]]],[[[2,2,1,-1,2,1,1,1,2,1,1,1]],[[1,1,2,-1,1,-1,2,
1]]],[[[1,1,2,-2,1,1,2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[2,2,1,-1,
2,-1,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,2,1,1,3,-1,2,-1,3,-1]],[[2,1,1,1,2,1,1,1,
2,1,1,1]],[[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,
1,1,2,1,1,-1,2,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,1,2,1,
3,1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,1,3,-1]],[[
2,1,1,-1,2,1,1,-1,2,-2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,-1],[3,1,2,-1,1,1,2,
1,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,-2,1,-1,2,1,1,-1,2,1]],[[2,1,1,
1,2,1,1,1]]],[[[1,-1],[1,1,2,1],[1,1,2,-1,3,-1,4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,
1],[2,1,3,1,2,1,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,-1],[4,1,3,2,4,-1]],[[1,
1,2,1],[1,1,2,-1,3,1,2,1,3,1]]],[[[1,-1,2,-2,1,-1,2,1,1,-1,2,1]],[[1,-1,2,2,1,
-1,2,2]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,2,1,1,2,1,1,1,2,-1]],[[
1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2]]],[[[1,-1],[3,1,2,1,1,1,2,2,1,-1,2,1,3,
1]],[[1,-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]],[[2,1,1,1,2,1,1,1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,-3,
1,1,2,-1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1,1,1,
3,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]],[[
1,1,2,2,1,-1,2,2,1,1]]],[[[1,1,2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,-1],[3,1,2,-1,
1,1,2,1,3,-1]],[[1,1,2,-1],[3,1,1,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,
1]],[[2,2,1,-1,2,2,1,-1]]],[[[1,1,2,2,1,-1,2,2,1,1]],[[2,1,1,1,2,2,1,-1]]],[[[
1,-1],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1]],[[1,-1],[
1,1,2,-2,3,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,-3,1,1,2,-1]],[[2,1,1,1,2,1,1,
1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[3,1,1,-1,2,1,3,
1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,1,1,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,1,2,1],[1,-1,3,
2]],[[2,1,1,1,2,1,1,-1]]],[[[2,2,1,-1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,1]],[[1,1,
2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,1,2,1,1,1,2,-1]],[[1,1,2,-1,
1,-1,2,1]],[[1,1,2,1],[3,1,1,-1,2,2,3,1]],[[1,-1,2,2,1,-1,2,2]]],[[[1,1,2,-3,
1,1,2,-1]],[[1,-1,2,-1,1,1,2,1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,1,1,-1,2,2,1,1,2,
1,1,1]],[[2,2,1,-1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,1,1,1,2,1,
1,1]],[[1,1,2,-3,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,
1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[2,2,1,-1,2,1,1,
1,2,1,1,1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,1,3,-1]]],[[[1,-1],[3,1,
2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,2,1,1,2,1,1,-1,2,1]]],[[[1,1,2,1,1,1,2,
1]],[[2,1,1,1,2,1,1,1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,2,1,1,2,
-1]]],[[[1,1,2,2,1,-1,2,2,1,1]],[[1,1,2,1,1,1,2,1]],[[2,1,1,1,2,-1,1,-1,2,-1,
1,1,2,-1]]],[[[1,1,2,2,1,-1,2,1,1,-1,2,-1]],[[2,1,1,1,2,1,1,1]],[[2,1,1,-1],[
3,1,2,1,3,1,2,1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-2,3,-1]],[[1,1,2,-1],[3,1,
2,-1,1,1,2,1,3,-1]],[[1,1,2,2,1,-1,2,2,1,1]]],[[[1,-1],[3,1,2,2,1,-1,2,1,1,1,
2,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,2,1,-1,2,1,3,1]]],[[[1,1,2,-2,1,-1,2,1,1,-1,
2,1]],[[2,1,1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1,1,1,2,-1,1,1]]],[[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1]],[[2,2,1,-1,2,1,1,1,2,1,1,1]],[[2,2,1,-1,2,2,1,-1]]],[[[1,
-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,3,1,1,2,-1,1,1]],[[2,1,1,1,2,-1,1,
-1]]],[[[2,2,1,1,2,-1,1,-1,2,-1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]],[[1,-1,2,-1,
1,1,2,1]]],[[[1,-1,2,2,1,-1,2,1,1,-1,2,-1]],[[2,2,1,-1,2,2,1,-1]]],[[[1,-1,2,
1,1,-1,2,2,1,-1,2,-1]],[[2,1,1,-1],[3,1,2,1,3,1,2,1]]],[[[2,2,1,1,2,-1,1,1,2,
-1]],[[2,-1,1,1,2,1]],[[1,-1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,
2,1,-1,2,-1,1,-1]]],[[[2,2,1,1],[1,1,2,1,3,-2,1,1]],[[2,3,1,-1,2,1,1,-1,2,
-1]]],[[[2,2,1,-1,2,2,1,-1]],[[1,1,2,-1,1,-1,2,1]],[[1,-1,2,-1,1,1,2,1]],[[2,
2,1,-1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,1,2,
1],[3,1,1,-1,2,1,3,1]],[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]]],[[[2,1,1,1,2,
1,1,1,2,1,1,1]],[[1,1,2,-1,1,-1,2,1]],[[2,2,1,-1,2,-1,1,1,2,-1]]],[[[1,-1,2,2,
1,-1,2,2]],[[2,2,1,-1,2,1,1,-1,2,1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1,2,1,1,-1,
2,3]],[[1,1,2,-3,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,2,1,-1,2,2]],[[1,
1,2,-1,1,-1,2,1]]],[[[1,-1],[1,1,2,-2,3,1,2,1,1,1,2,1,3,1]],[[2,1,1,1,2,1,1,1,
2,1,1,1]],[[1,1,2,1,1,1,2,-1,1,1]]],[[[1,-1,2,2,1,-1,2,2]],[[1,1,2,1,1,-1,2,1,
1,-1]],[[1,1,2,1,1,1,2,-1,1,1]]],[[[2,2,1,-1,2,2,1,-1]],[[2,1,1,1,2,1,1,1]],[[
2,2,1,-1,2,-1,1,1,2,-1]]],[[[1,-1,2,1,1,-1,2,2,1,1,2,1]],[[1,1,2,-1,1,-1,2,
1]]],[[[2,1,1,1,2,1],[1,-1,3,2]],[[1,1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,-1,1,1,
2,-1]],[[1,1,2,-2,1,1,2,2]],[[2,-1,1,1,2,1]]],[[[2,1,1,-1],[3,1,2,1,3,1,2,
1]],[[1,-1,2,3,1,-1]]],[[[1,-1,2,2,1,-1,2,2]],[[2,1,1,-1,2,1,1,-1,2,-2]],[[1,
1,2,1,1,1,2,1]]],[[[2,3,1,1,2,1,1,1]],[[1,1,2,-1,1,-1,2,1,1,-1,2,1]]],[[[1,1,
2,-2,1,-1,2,1,1,-1,2,1]],[[2,1,1,1],[2,1,3,-1,1,-1,3,-1]]],[[[1,-1,2,1,1,-1,2,
2,1,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1]]],[[[1,-1],[1,1,2,2,3,1,2,1,1,-1,2,1,3,
-1]],[[1,-1,2,2,1,-1,2,1,1,-1,2,-1]],[[2,2,1,-1,2,2,1,-1]]],[[[1,-1,2,1,1,-1,
2,3]],[[2,1,1,-1,2,1]]],[[[2,-1,1,-1,2,-1]],[[1,-1]]],[[[2,1,1,1,2,1,1,1]],[[
2,1,1,-1,2,1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1,2,2,1,-1,2,2]],[[1,1,2,-3,1,1,2,
-1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1,2,1,1,-1,2,
3]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[2,2,1,-1,2,2]],[[2,
-1,1,1,2,1]],[[1,-1]]],[[[2,1,1,-1,2,3]],[[1,-1]]],[[[1,1,2,-2,1,-1,2,1,1,-1,
2,1]],[[2,1,1,1,2,2,1,1]],[[1,1,2,1,1,1,2,-1,1,1]]],[[[1,-1,2,-2,1,-1,2,1,1,
-1,2,1]],[[1,1,2,2,1,1,2,-2]],[[2,1,1,1,2,-1]]],[[[1,-1],[3,1,1,1,2,-2,3,1,2,
1,1,1,2,1]],[[1,-1],[3,1,2,3,1,-1,2,-1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,3,-1,
2,1,1,1,2,-1]],[[1,-1],[3,1,2,1,1,1,2,1,3,1,2,1,1,1]]],[[[1,-1,2,1,1,1,2,
-1]],[[2,2,1,-1,2,-1,1,-1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2,1,-1]],[[2,1,
1,1]]],[[[2,2,1,1,2,-1,1,-1,2,-1]],[[1,1,2,1]]],[[[1,1]],[[2,2,1,-1,2,-1,1,
-1]]],[[[1,1]],[[2,1]]]]);
ACLT( "A8",
"sortperm",( 15, 16)( 24, 25)( 26, 29)( 27, 28)( 30, 32, 33)( 39, 40, 41)
( 42, 44)( 50, 54)( 51, 55, 52)( 56, 58, 57)( 60, 61)( 65, 71, 73, 74, 66, 69,
 67, 68, 72, 70)( 80, 82)( 83, 85)( 84, 86)( 87, 90, 88, 89)( 94, 95)( 96, 98)
(105,106)(107,108)(110,112,111,113)(115,116)(124,126)(127,129,128));



LIBTOM( "A9",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,3,8],[1,3,9],[1,2,10],[1,2,3,
11],[1,2,12],[1,2,3,13],[1,3,14],[1,15],[1,3,4,16],[1,2,4,17],[1,2,4,18],[1,3,
6,19],[1,2,6,20],[1,3,5,21],[1,3,6,22],[1,23],[1,3,8,24],[1,3,9,25],[1,2,3,10,
11,26],[1,2,3,7,11,13,27],[1,3,14,28],[1,3,8,14,29],[1,2,3,8,9,11,13,30],[1,3,
9,14,31],[1,2,3,11,14,32],[1,2,7,10,12,33],[1,2,3,8,11,14,34],[1,3,8,9,14,
35],[1,2,3,11,12,36],[1,2,3,9,11,14,37],[1,2,3,10,12,13,38],[1,5,39],[1,4,6,
40],[1,5,6,41],[1,4,5,6,42],[1,5,43],[1,5,44],[1,2,15,45],[1,2,15,46],[1,3,15,
47],[1,2,4,7,48],[1,2,6,10,49],[1,2,4,10,18,50],[1,2,4,7,18,51],[1,2,5,10,
52],[1,2,6,7,53],[1,3,6,9,54],[1,2,3,4,11,16,17,18,55],[1,3,6,8,56],[1,2,3,4,
13,16,18,57],[1,2,4,12,18,58],[1,2,4,10,17,18,59],[1,2,4,12,18,60],[1,2,3,6,
13,19,20,22,61],[1,3,23,62],[1,4,15,63],[1,2,3,7,8,9,11,13,27,30,64],[1,2,3,8,
9,11,13,14,25,30,31,35,37,65],[1,2,3,8,9,11,13,14,29,30,66],[1,2,3,8,9,11,13,
14,24,29,30,34,35,67],[1,2,3,8,9,11,13,14,30,31,68],[1,2,3,8,9,11,12,13,30,36,
69],[1,2,3,8,9,10,11,13,14,26,30,32,34,37,70],[1,2,3,7,10,11,12,13,26,27,33,
36,38,71],[1,2,3,8,9,11,14,28,29,31,32,34,35,37,72],[1,2,3,7,11,12,13,14,27,
32,36,73],[1,3,5,21,39,74],[1,2,4,6,17,20,40,75],[1,3,4,5,6,16,19,21,42,76],[
1,3,5,21,43,77],[1,3,5,21,44,78],[1,3,4,5,6,16,22,42,79],[1,2,4,5,6,18,20,42,
80],[1,3,4,6,19,22,40,81],[1,2,4,6,17,18,40,82],[1,3,5,6,21,22,41,83],[1,2,7,
15,46,84],[1,2,3,13,15,46,47,85],[1,2,3,11,15,45,46,47,86],[1,3,14,15,47,87],[
1,2,12,15,45,88],[1,6,23,89],[1,2,4,7,10,12,17,33,48,90],[1,2,6,7,10,12,20,33,
49,91],[1,2,3,4,7,11,13,16,17,18,27,51,55,57,92],[1,2,3,4,10,11,16,17,18,26,
50,55,59,93],[1,2,3,4,7,11,13,18,27,48,94],[1,3,6,8,9,14,19,35,54,95],[1,3,6,
9,22,25,54,96],[1,2,3,6,10,12,13,19,38,49,97],[1,2,4,7,10,12,18,33,50,51,60,
98],[1,2,4,7,10,12,17,18,33,51,58,59,99],[1,3,6,8,22,24,56,100],[1,2,3,4,11,
12,16,17,18,36,55,58,60,101],[1,2,3,6,9,11,14,20,37,54,102],[1,2,3,4,10,12,13,
16,17,18,38,57,59,60,103],[1,2,3,6,10,11,22,26,49,104],[1,2,3,6,8,11,14,20,34,
56,105],[1,2,3,4,10,12,13,16,18,38,50,57,58,106],[1,3,6,8,9,14,19,35,56,107],[
1,3,6,14,22,28,108],[1,2,6,7,10,12,20,33,53,109],[1,2,3,5,10,12,13,21,38,52,
110],[1,4,5,6,40,41,42,111],[1,5,6,41,44,112],[1,5,6,41,43,113],[1,5,6,39,41,
114],[1,2,4,15,18,45,63,115],[1,2,3,7,8,9,11,13,14,24,27,29,30,34,35,64,66,67,
116],[1,2,3,7,8,9,11,13,14,25,27,30,31,35,37,64,65,68,117],[1,2,3,8,9,10,11,
13,14,24,25,26,28,29,30,31,32,34,35,37,65,67,70,72,118],[1,2,3,8,9,10,11,13,
14,26,29,30,31,32,34,37,66,68,70,119],[1,2,3,7,8,9,10,11,12,13,14,26,27,30,32,
33,34,36,37,38,64,69,70,71,73,120],[1,2,3,8,9,11,12,13,14,25,29,30,31,35,36,
37,65,66,69,121],[1,2,3,8,9,11,12,13,14,24,29,30,31,34,35,36,67,68,69,122],[1,
2,4,6,12,17,20,40,75,123],[1,2,4,6,7,18,40,48,51,53,124],[1,2,4,5,6,10,18,42,
49,50,52,125],[1,3,5,14,21,39,74,126],[1,2,4,6,10,17,18,20,40,59,75,82,127],[
1,2,3,4,6,13,17,19,20,22,40,61,75,81,128],[1,2,3,4,5,6,13,16,18,19,20,21,22,
42,57,61,76,79,80,129],[1,2,3,7,11,13,15,27,45,46,47,84,85,86,130],[1,2,3,11,
12,15,36,45,46,47,86,88,131],[1,2,3,11,14,15,32,45,46,47,86,87,132],[1,3,6,22,
23,62,89,133],[1,2,3,6,7,8,9,11,13,27,30,53,54,64,134],[1,2,3,6,7,8,9,11,13,
27,30,53,56,64,135],[1,2,3,4,7,8,9,11,13,18,27,30,48,51,64,94,136],[1,2,3,4,7,
11,12,13,14,18,27,32,36,48,58,73,94,137],[1,2,3,4,7,10,11,12,13,17,18,26,27,
33,36,38,48,59,71,90,94,138],[1,2,3,6,8,9,11,13,14,19,20,22,25,30,31,35,37,54,
61,65,95,96,102,139],[1,2,3,6,7,10,11,12,13,19,20,22,26,27,33,36,38,49,61,71,
91,97,104,140],[1,2,3,4,7,10,11,12,13,16,17,18,26,27,33,36,38,50,51,55,57,58,
59,60,71,92,93,98,99,101,103,106,141],[1,2,3,6,8,9,11,13,14,19,20,22,24,29,30,
34,35,56,61,67,100,105,107,142],[1,2,4,5,6,17,18,20,40,41,42,75,80,82,111,
143],[1,3,4,5,6,16,19,21,22,40,41,42,76,79,81,83,111,144],[1,3,5,6,21,22,41,
43,77,83,113,145],[1,3,5,6,21,22,39,41,74,83,114,146],[1,3,5,6,21,22,41,44,78,
83,112,147],[1,3,9,23,25,148],[1,3,8,23,24,149],[1,2,4,7,15,17,45,48,150],[1,
2,6,10,15,20,45,49,151],[1,2,4,7,15,46,48,63,84,152],[1,2,4,12,15,18,45,58,63,
88,115,153],[1,2,3,7,8,9,10,11,12,13,14,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,64,65,66,67,68,69,70,71,72,73,116,117,118,119,120,121,122,154],[1,3,
5,14,21,28,39,74,126,155],[1,2,4,6,7,10,12,17,18,20,33,40,48,51,53,58,59,75,
90,99,109,124,156],[1,2,3,4,5,6,10,11,16,17,18,22,26,42,49,50,52,55,59,79,93,
104,125,157],[1,2,3,4,6,7,11,13,16,17,18,27,40,48,51,53,55,57,82,92,94,124,
158],[1,2,4,6,7,10,12,17,18,33,40,48,50,51,53,60,82,90,98,124,159],[1,2,4,5,6,
7,10,12,18,20,33,42,49,50,51,52,60,80,91,98,125,160],[1,2,3,4,5,6,10,12,13,16,
18,19,21,38,42,49,50,52,57,58,76,97,106,110,125,161],[1,2,3,4,6,10,12,13,17,
18,19,20,22,38,40,59,61,75,81,82,123,127,128,162],[1,2,3,7,11,12,13,14,15,27,
32,36,45,46,47,73,84,85,86,87,88,130,131,132,163],[1,4,5,6,39,40,41,42,43,44,
111,112,113,114,164],[1,2,3,6,7,8,9,11,13,14,19,24,27,29,30,34,35,53,54,64,66,
67,95,116,134,165],[1,2,3,6,7,8,9,11,13,14,19,25,27,30,31,35,37,53,56,64,65,
68,107,117,135,166],[1,2,3,6,7,8,9,11,13,14,22,24,27,29,30,34,35,53,56,64,66,
67,100,116,135,167],[1,2,3,6,7,8,9,10,11,12,13,14,20,26,27,30,32,33,34,36,37,
38,53,56,64,69,70,71,73,105,109,120,135,168],[1,2,3,6,7,8,9,11,13,14,22,25,27,
30,31,35,37,53,54,64,65,68,96,117,134,169],[1,2,3,6,8,9,10,11,13,14,22,24,25,
26,28,29,30,31,32,34,35,37,49,54,56,65,67,70,72,96,100,104,108,118,170],[1,2,
3,6,7,8,9,10,11,12,13,14,20,26,27,30,32,33,34,36,37,38,53,54,64,69,70,71,73,
102,109,120,134,171],[1,2,3,4,7,8,9,10,11,12,13,14,17,18,26,27,30,32,33,34,36,
37,38,48,51,58,59,64,69,70,71,73,90,94,99,120,136,137,138,172],[1,2,4,5,6,10,
17,18,20,40,41,42,59,75,80,82,111,127,143,173],[1,2,4,5,6,12,17,18,20,40,41,
42,60,75,80,82,111,123,143,174],[1,2,3,4,5,6,13,16,17,18,19,20,21,22,40,41,42,
57,61,75,76,79,80,81,82,83,111,128,129,143,144,175],[1,2,3,4,7,11,13,15,16,17,
18,27,45,46,47,48,55,86,94,150,176],[1,2,3,4,7,11,13,15,18,27,45,46,47,48,63,
84,85,86,94,115,130,152,177],[1,2,4,7,10,12,15,17,18,33,45,48,59,88,90,150,
178],[1,2,3,6,10,12,13,15,19,20,22,38,45,49,61,88,97,151,179],[1,2,3,4,6,7,8,
9,11,13,18,27,30,40,48,51,53,54,56,64,94,124,134,135,136,180],[1,2,3,4,6,7,10,
11,12,13,16,17,18,20,26,27,33,36,38,40,48,50,51,53,55,57,58,59,60,71,75,82,90,
92,93,94,98,99,101,103,106,109,124,127,138,141,156,158,159,181],[1,2,3,4,5,6,
7,10,11,12,13,16,17,18,19,20,21,22,26,27,33,36,38,42,49,50,51,52,55,57,58,59,
60,61,71,76,79,80,91,92,93,97,98,99,101,103,104,106,110,125,129,140,141,157,
160,161,182],[1,3,4,5,6,16,19,21,22,39,40,41,42,43,44,74,76,77,78,79,81,83,
111,112,113,114,144,145,146,147,164,183],[1,3,6,9,22,23,25,54,89,96,148,184],[
1,3,6,8,22,23,24,56,89,100,149,185],[1,3,6,8,9,14,19,23,35,54,56,89,95,107,
186],[1,2,6,7,10,12,20,23,33,49,53,89,91,109,187],[1,2,4,6,7,15,17,18,40,45,
48,51,53,63,82,115,124,150,188],[1,2,4,5,6,10,15,18,20,42,45,49,50,52,63,80,
115,125,151,189],[1,2,3,6,7,8,9,10,11,12,13,14,19,20,22,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,53,56,61,64,65,66,67,68,69,70,71,72,73,100,105,107,
109,116,117,118,119,120,121,122,135,142,154,166,167,168,190],[1,2,3,6,7,8,9,
10,11,12,13,14,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,49,54,56,
61,64,65,66,67,68,69,70,71,72,73,91,95,96,97,100,102,104,105,107,108,116,117,
118,119,120,121,122,139,140,142,154,170,191],[1,2,3,6,7,8,9,10,11,12,13,14,19,
20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,53,54,61,64,65,66,67,68,69,
70,71,72,73,95,96,102,109,116,117,118,119,120,121,122,134,139,154,165,169,171,
192],[1,3,5,6,14,21,22,28,39,41,74,83,108,114,126,146,155,193],[1,2,3,4,5,6,
10,12,13,16,17,18,19,20,21,22,38,40,41,42,57,59,60,61,75,76,79,80,81,82,83,
103,111,123,127,128,129,143,144,162,173,174,175,194],[1,2,3,4,7,8,9,11,13,15,
16,17,18,27,30,45,46,47,48,51,55,57,64,84,85,86,92,94,130,136,150,176,195],[1,
2,3,4,7,10,11,12,13,15,16,17,18,26,27,33,36,38,45,46,47,48,50,55,59,71,86,88,
90,93,94,131,138,150,176,178,196],[1,2,3,4,7,11,12,13,14,15,16,17,18,27,32,36,
45,46,47,48,55,58,60,73,86,87,94,101,132,137,150,176,197],[1,2,3,4,7,11,12,13,
14,15,18,27,32,36,45,46,47,48,58,63,73,84,85,86,87,88,94,115,130,131,132,137,
152,153,163,177,198],[1,2,3,4,6,7,8,9,11,13,14,18,19,22,24,27,29,30,34,35,40,
48,51,53,54,56,64,66,67,81,94,95,100,116,124,134,135,136,165,167,180,199],[1,
2,3,4,6,7,8,9,11,13,14,18,19,22,25,27,30,31,35,37,40,48,51,53,54,56,64,65,68,
81,94,96,107,117,124,134,135,136,166,169,180,200],[1,2,3,4,6,7,8,9,10,11,12,
13,14,17,18,20,26,27,30,32,33,34,36,37,38,40,48,51,53,54,56,58,59,64,69,70,71,
73,75,90,94,99,102,105,109,120,124,134,135,136,137,138,156,168,171,172,180,
201],[1,2,4,5,6,10,17,18,20,39,40,41,42,43,44,52,59,75,80,82,111,112,113,114,
127,143,164,173,202],[1,2,4,6,7,10,12,15,17,20,33,40,45,48,49,75,90,91,123,
150,151,203],[1,2,3,4,5,6,10,12,13,15,16,18,19,20,21,22,38,42,45,49,50,52,57,
58,61,63,76,79,80,88,97,106,110,115,125,129,151,153,161,179,189,204],[1,2,4,6,
7,10,12,15,17,18,20,33,40,45,48,51,53,58,59,63,75,82,88,90,99,109,115,124,127,
150,153,156,178,188,205],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,26,27,30,
32,33,34,36,37,38,45,46,47,48,50,51,55,57,58,59,60,64,69,70,71,73,84,85,86,87,
88,90,92,93,94,98,99,101,103,106,120,130,131,132,136,137,138,141,150,163,172,
176,178,195,196,197,206],[1,3,5,8,21,23,24,43,62,77,149,207],[1,3,5,9,21,23,
25,44,62,78,148,208],[1,2,3,4,6,7,8,9,10,11,12,13,14,17,18,19,20,22,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,40,48,51,53,54,56,58,59,61,64,65,66,67,68,
69,70,71,72,73,75,81,90,94,95,96,99,100,102,105,107,109,116,117,118,119,120,
121,122,124,128,134,135,136,137,138,139,142,154,156,165,166,167,168,169,171,
172,180,190,192,199,200,201,209],[1,2,3,4,5,6,10,12,13,16,17,18,19,20,21,22,
38,39,40,41,42,43,44,52,57,59,60,61,74,75,76,77,78,79,80,81,82,83,103,110,111,
112,113,114,123,127,128,129,143,144,145,146,147,162,164,173,174,175,183,194,
202,210],[1,2,3,4,6,7,8,9,11,13,15,16,17,18,27,30,40,45,46,47,48,51,53,54,55,
56,57,63,64,82,84,85,86,92,94,115,124,130,134,135,136,150,152,158,176,177,180,
188,195,211],[1,2,3,4,6,7,10,11,12,13,15,17,18,19,20,22,26,27,33,36,38,40,45,
48,49,59,61,71,75,81,82,88,90,91,94,97,104,123,127,128,138,140,150,151,162,
178,179,203,212],[1,2,4,5,6,7,10,12,15,17,18,20,33,40,41,42,45,48,49,50,51,52,
53,60,63,75,80,82,90,91,98,111,115,123,124,125,143,150,151,159,160,174,188,
189,203,213],[1,2,3,6,7,8,9,10,11,12,13,14,19,20,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,49,53,54,56,61,64,65,66,67,68,69,70,71,72,73,89,91,95,
96,97,100,102,104,105,107,108,109,116,117,118,119,120,121,122,134,139,140,142,
148,154,165,169,170,171,184,186,187,191,192,214],[1,2,3,6,7,8,9,10,11,12,13,
14,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,49,53,54,56,61,64,
65,66,67,68,69,70,71,72,73,89,91,95,96,97,100,102,104,105,107,108,109,116,117,
118,119,120,121,122,135,139,140,142,149,154,166,167,168,170,185,186,187,190,
191,215],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,26,27,30,32,33,34,36,
37,38,40,45,46,47,48,50,51,53,54,55,56,57,58,59,60,63,64,69,70,71,73,75,82,84,
85,86,87,88,90,92,93,94,98,99,101,102,103,105,106,109,115,120,124,127,130,131,
132,134,135,136,137,138,141,150,152,153,156,158,159,163,168,171,172,176,177,
178,180,181,188,195,196,197,198,201,205,206,211,216],[1,3,5,6,9,21,22,23,25,
41,44,54,62,78,83,89,96,112,133,147,148,184,208,217],[1,3,5,6,8,21,22,23,24,
41,43,56,62,77,83,89,100,113,133,145,149,185,207,218],[1,2,3,4,5,6,7,10,11,12,
13,15,16,17,18,19,20,21,22,26,27,33,36,38,40,41,42,45,48,49,50,51,52,53,55,57,
58,59,60,61,63,71,75,76,79,80,81,82,83,88,90,91,92,93,94,97,98,99,101,103,104,
106,109,110,111,115,123,124,125,127,128,129,138,140,141,143,144,150,151,153,
156,157,158,159,160,161,162,173,174,175,178,179,181,182,188,189,194,203,204,
205,212,213,219],[1,2,4,6,7,10,12,15,17,18,20,23,33,40,45,48,49,51,53,58,59,
75,88,89,90,91,99,109,123,124,150,151,156,178,187,203,220],[1,2,3,4,6,7,10,11,
12,13,15,16,17,18,19,20,22,23,26,27,33,36,38,40,45,46,47,48,49,50,51,53,55,57,
58,59,60,61,62,71,75,81,82,86,88,89,90,91,92,93,94,97,98,99,101,103,104,106,
109,123,124,127,128,131,133,138,140,141,150,151,156,158,159,162,176,178,179,
181,187,196,203,212,220,221],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,45,48,49,51,53,54,56,58,
59,61,63,64,65,66,67,68,69,70,71,72,73,75,81,82,88,89,90,91,94,95,96,97,99,
100,102,104,105,107,108,109,115,116,117,118,119,120,121,122,123,124,127,128,
134,135,136,137,138,139,140,142,148,149,150,151,153,154,156,162,165,166,167,
168,169,170,171,172,178,179,180,184,185,186,187,188,190,191,192,199,200,201,
203,205,209,212,214,215,220,222],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,2,1,
1],[1,1,1],[1,1,2,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,
3,1,1],[1,3,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,7,7,1],[1,6,1,4,3,1],[1,4,3,1,3,
3,1],[1,1,3,1],[1,3,1,2,1],[1,2,5,1,1,1,4,1],[1,3,1,2,1],[1,2,1,1,2,1],[1,5,1,
1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,2,1,1,2,1],[1,2,3,1,1,1,1],[1,3,2,1,1,
1,1],[1,4,1],[1,2,2,1],[1,1,3,1],[1,1,2,1,1],[1,1,1],[1,1,1],[1,5,1,1],[1,1,1,
1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,2,1,1],[1,1,
1,3,1,1],[1,7,1,3,2,1,1],[1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,1],[1,1,1,
1],[1,6,9,2,3,3,9,18,6,9,1],[1,2,9,1,7,1,4,2,1,1,1,2,2,1],[1,2,5,1,1,1,4,4,2,
1,1],[1,2,9,7,1,1,4,2,1,1,1,2,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,4,4,1,
2,1],[1,6,5,1,1,4,3,4,2,1,1,1,2,2,1],[1,8,3,1,4,5,2,3,1,1,2,1,2,1],[1,2,5,1,1,
1,4,1,1,1,1,1,1,1,1],[1,4,3,1,3,2,3,2,1,1,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,
1],[1,9,1,2,1,3,3,6,1,1],[1,9,1,3,1,1],[1,9,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,
1,2,1,3,1,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,
3,1],[1,1,10,5,1,1,2,1],[1,6,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,7,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,9,1,1,9,9,3,1,3,3,1,3,3,
1],[1,12,3,1,10,9,1,3,3,3,1,3,3,1],[1,4,3,4,1,3,3,4,1,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,7,4,7,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,9,1,
1,3,3,2,3,3,1,1,1,1],[1,7,4,7,4,1,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,6,3,4,
1,3,3,4,3,1,1],[1,7,6,1,3,1,3,2,2,1,3,1,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,6,3,4,
1,3,3,4,3,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,4,3,4,
1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,6,3,4,6,1],[1,1,3,1,
3,1],[1,1,3,1,3,1],[1,10,3,3,1,1],[1,5,1,1,5,1,1,1],[1,6,13,2,9,3,9,18,6,1,6,
3,9,6,6,1,3,3,1],[1,6,13,2,3,9,9,18,6,1,6,9,3,6,6,1,3,3,1],[1,6,13,7,7,4,3,12,
6,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,6,5,1,1,4,3,4,10,1,2,1,2,1,2,2,1,1,1,
1],[1,10,9,2,3,3,4,11,4,18,2,1,6,9,1,4,2,2,2,4,1,1,1,2,2,1],[1,2,9,1,7,1,4,4,
6,1,2,1,1,2,2,2,1,1,1,1],[1,2,9,7,1,1,4,4,6,1,1,1,2,2,2,2,1,1,1,1],[1,9,2,2,9,
6,6,1,1,1],[1,3,5,8,1,3,4,1,1,2,1],[1,3,1,8,4,1,3,4,1,1,2,1],[1,9,4,9,12,1,1,
1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[1,3,12,1,2,1,
9,4,3,3,1,6,3,1,3,3,1,1,1,1],[1,8,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,6,5,5,10,1,
5,1,1,1,1,2,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,7,7,7,1,1,1,1],[1,6,9,16,2,3,3,
9,18,6,9,8,12,1,1],[1,6,9,16,2,3,3,9,18,6,9,8,12,1,1],[1,6,9,4,2,3,3,9,18,12,
6,9,1,4,1,3,1],[1,4,3,4,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,16,3,4,1,12,9,6,3,8,4,
3,1,6,3,6,1,4,3,2,1,1],[1,6,13,4,3,7,3,12,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,
12,7,4,3,4,9,6,9,4,4,4,1,3,6,3,6,1,4,3,1,1,1,1],[1,14,9,1,1,10,15,4,9,3,3,5,3,
3,4,3,6,1,1,5,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,6,13,4,7,3,3,12,6,4,4,4,1,3,3,6,6,
1,4,3,1,1,1,1],[1,9,3,4,6,6,9,6,3,4,6,1,6,6,1,1],[1,9,3,4,6,3,3,6,9,3,4,6,1,3,
3,6,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,10,3,12,9,3,1,1,3,1,1],[1,9,1,3,3,9,1,
3,1,3,1,1],[1,7,7,8,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,
6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,10,17,2,9,9,4,11,4,
26,14,1,1,1,6,2,5,11,5,3,4,10,14,2,10,4,1,5,3,5,3,1,3,2,6,2,1,1,1,1,1,1,1,1],[
1,9,4,27,12,9,1,1,3,1],[1,21,5,8,1,9,9,18,3,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,
12,3,1,8,4,10,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,6,9,5,8,1,9,9,3,1,15,3,4,
1,1,2,3,3,4,1,3,1,1],[1,9,5,8,1,3,3,4,9,3,4,1,3,1,2,3,4,1,3,1,1],[1,9,1,8,4,3,
1,3,9,4,3,4,1,1,3,2,3,4,1,3,1,1],[1,3,18,1,8,4,1,9,9,6,3,12,24,9,4,1,1,2,3,3,
4,3,3,6,1,1],[1,15,6,2,2,9,9,9,8,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,8,15,1,15,
10,15,10,1,5,5,5,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,3,13,6,3,3,4,6,3,3,1,1,1,1,1],[
1,6,21,16,2,21,3,9,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,6,21,16,2,3,
21,9,18,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,6,13,16,2,9,3,9,18,6,16,1,
6,3,9,6,6,8,12,1,3,3,4,1,1,1],[1,18,9,16,2,3,3,12,15,12,18,6,16,3,6,9,3,12,6,
6,6,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,6,13,16,2,3,9,9,18,6,16,1,6,9,3,6,6,8,12,
1,3,3,4,1,1,1],[1,6,13,16,7,7,4,3,12,6,16,1,1,1,2,3,3,3,3,6,6,6,4,4,4,3,3,3,6,
4,4,4,8,1,1],[1,18,9,16,2,3,3,12,15,12,18,6,16,3,6,9,3,12,6,6,6,12,8,12,1,3,3,
6,6,4,8,3,1,1],[1,18,9,4,2,3,3,12,15,12,18,6,8,12,3,6,9,3,12,6,6,6,12,1,4,4,4,
1,3,3,6,6,2,3,4,3,1,1,1,1],[1,27,3,4,6,27,18,27,18,3,4,6,27,3,18,18,1,9,3,1],[
1,9,3,4,6,9,6,9,6,3,4,6,9,1,6,6,1,1,1,1],[1,9,18,3,4,6,27,6,6,9,6,6,12,18,3,4,
6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,8,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,25,10,5,15,
15,6,20,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,6,9,8,32,2,3,3,9,18,24,6,9,16,2,8,16,12,12,1,6,8,1,1,2,1],[1,30,9,5,8,1,
30,27,12,9,3,23,21,24,9,3,12,9,18,4,1,3,1,2,9,3,3,21,3,9,4,8,4,1,3,3,3,3,3,3,
3,6,1,4,3,3,1,1,1,1],[1,18,21,1,8,4,3,10,27,12,27,7,3,9,12,4,24,12,3,9,12,9,
18,4,1,1,3,2,9,9,3,3,3,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,
27,3,13,6,9,9,45,27,3,3,4,6,3,3,3,3,3,3,9,9,18,1,1,1,1,3,3,3,3,1,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,
7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,15,11,20,5,6,10,15,10,6,5,5,10,6,
10,6,5,1,1],[1,15,1,20,10,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,18,25,16,2,9,
21,12,15,12,42,30,16,16,16,1,3,3,6,6,9,15,15,9,12,18,30,6,30,12,8,12,16,1,15,
3,9,9,3,9,6,18,6,4,4,12,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,18,25,16,6,13,13,4,
27,12,54,30,16,16,16,1,1,1,18,2,9,27,9,3,12,18,30,6,18,12,4,4,4,16,3,9,9,9,9,
3,3,6,6,6,4,4,4,4,4,4,4,4,4,8,3,3,1,3,3,3,3,4,4,4,3,1,1],[1,18,25,16,2,21,9,
12,15,12,42,30,16,16,16,3,1,3,6,6,15,15,9,9,12,30,30,6,18,12,8,12,16,1,9,9,15,
3,3,9,6,18,6,12,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,28,12,27,12,36,9,9,4,
1,12,9,4,3,4,1,1],[1,27,18,3,4,6,27,9,27,6,18,27,6,18,12,18,27,3,4,6,9,27,9,
18,3,2,6,18,6,18,12,9,1,1,9,3,6,3,2,3,1,1,1,1],[1,18,45,10,6,15,15,45,90,6,30,
10,30,30,45,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,36,15,10,5,40,45,
30,15,6,10,30,30,15,5,30,15,30,6,6,6,5,10,30,30,15,6,12,10,10,5,6,5,1,1,2,1],[
1,16,15,10,5,15,10,15,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,
1,1,1],[1,8,15,4,1,15,30,15,30,1,20,5,15,15,1,3,3,1,20,4,15,1,3,3,6,6,5,4,1,3,
3,5,1,4,3,1,1],[1,6,21,8,32,2,21,3,9,18,18,24,16,48,3,6,9,9,18,18,16,2,8,16,
12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,6,21,8,32,2,3,21,9,18,18,24,16,
48,3,6,9,9,18,18,16,2,8,16,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,42,9,
8,32,2,3,3,36,27,36,18,18,48,24,96,9,6,9,9,36,18,18,18,36,16,2,8,16,12,12,24,
24,1,9,9,18,18,16,12,6,24,12,12,48,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,27,3,40,6,27,
18,27,18,12,3,4,6,12,12,27,27,3,18,18,1,4,4,4,9,3,4,1,1],[1,45,20,20,15,15,45,
36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,15,30,1,20,10,5,45,45,6,10,15,
30,10,60,30,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,
1],[1,45,11,20,5,45,45,6,50,45,60,45,10,6,5,5,10,15,45,6,10,20,18,15,15,30,6,
5,10,1,6,5,3,1,1],[1,38,45,10,6,15,15,40,75,40,90,30,6,30,30,50,15,30,45,15,
40,30,30,30,60,6,18,18,5,10,10,50,30,10,30,10,5,15,15,30,30,6,18,18,12,12,10,
10,10,15,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,63,28,63,84,
36,9,28,36,28,9,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,42,33,8,32,2,21,21,36,
27,36,90,54,48,24,32,96,96,3,3,9,6,18,27,27,27,27,36,54,54,18,54,36,16,2,8,16,
12,12,24,24,96,1,27,9,27,9,9,27,18,54,18,16,32,12,6,12,12,24,12,12,12,12,48,3,
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],[1,27,54,3,
40,6,27,27,81,18,18,27,18,18,144,54,81,12,3,4,6,12,12,27,27,27,27,54,12,3,6,
12,12,18,18,18,18,36,27,27,1,4,4,4,3,9,9,18,3,6,12,12,12,9,4,1,3,3,4,3,1,1],[
1,18,45,14,80,6,15,15,45,90,6,30,10,90,30,45,40,6,18,18,6,30,60,60,30,60,30,
24,5,40,6,18,18,10,30,24,30,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,60,15,20,20,15,60,
45,90,45,36,80,60,20,60,60,15,15,90,45,90,10,36,15,15,60,60,45,10,20,20,36,30,
15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,21,40,60,15,15,45,36,60,45,
60,45,30,40,60,36,15,15,15,15,30,30,45,36,10,60,60,15,15,45,10,36,10,15,15,10,
6,6,15,15,10,6,6,1,1],[1,42,49,112,14,49,21,28,63,84,126,126,112,112,112,64,7,
1,7,42,14,63,63,21,21,84,126,126,42,42,84,28,56,84,28,112,7,21,63,63,21,21,21,
42,42,42,64,28,84,28,28,28,28,28,28,28,56,56,21,7,7,21,21,21,21,7,28,28,28,8,
21,7,7,7,7,8,8,8,7,7,1],[1,42,49,112,14,21,49,28,63,84,126,126,112,112,112,64,
1,7,7,42,14,21,63,63,21,84,42,126,42,126,84,28,56,28,84,112,7,63,21,21,63,21,
21,42,42,42,64,28,28,28,28,28,28,28,28,84,56,56,7,21,7,21,21,21,21,7,28,28,28,
8,21,7,7,7,7,8,8,8,7,7,1],[1,78,45,14,80,6,15,15,120,135,120,90,90,6,30,110,
150,240,45,30,45,45,120,90,90,90,180,40,6,18,18,6,30,30,60,60,90,60,30,90,150,
30,24,5,45,45,90,90,40,80,6,18,18,36,36,40,10,30,30,30,90,30,60,30,60,30,180,
24,45,30,40,6,18,18,5,5,10,30,30,30,1,6,24,30,10,10,18,15,15,30,3,6,6,5,10,4,
1,3,3,6,5,4,3,1,1],[1,63,28,84,63,84,252,36,9,28,84,63,36,28,84,36,63,28,36,
28,9,9,1,1],[1,63,28,84,63,84,252,36,9,28,84,63,36,28,84,36,63,28,36,28,9,9,1,
1],[1,90,45,21,40,60,15,150,135,180,135,36,15,135,225,60,180,120,180,45,45,
180,135,270,30,40,60,36,15,15,15,15,30,30,45,45,45,225,45,180,36,135,30,20,60,
180,60,180,120,108,60,15,15,15,45,45,45,45,45,45,45,45,90,90,10,36,10,15,15,
90,30,60,45,45,45,30,20,6,6,36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,
10,1,6,6,3,1,1],[1,105,35,140,35,105,315,126,210,105,420,120,315,70,126,35,
105,35,70,105,105,70,126,120,105,105,105,210,70,35,21,42,35,21,30,7,1],[1,126,
105,35,140,35,210,315,420,315,126,105,245,315,140,420,420,120,105,105,420,315,
630,70,126,126,126,35,105,105,35,70,315,105,105,315,105,420,120,315,70,140,
140,126,252,120,140,105,35,105,105,105,105,105,105,105,105,105,210,70,35,70,
70,126,120,105,105,105,21,42,35,35,35,70,21,42,42,35,30,21,7,7,1,1],[1,210,
105,56,560,70,105,105,420,315,1260,630,630,336,560,840,560,1680,1680,960,15,
15,105,210,210,315,315,315,315,1260,630,630,630,630,1260,280,336,70,420,280,
560,420,420,840,840,1680,336,35,315,315,315,315,315,315,630,630,630,280,560,
560,1008,960,420,420,210,420,420,420,840,420,420,420,420,420,840,1680,336,105,
105,105,315,315,315,315,280,280,280,280,35,35,70,210,210,420,420,420,120,120,
56,168,336,315,280,280,35,35,105,105,105,105,105,210,168,168,35,120,120,120,
240,56,105,105,105,35,35,35,28,56,35,28,15,15,8,1],[1,378,945,84,1120,1680,
126,945,945,1260,2835,3780,5670,5670,756,1260,1260,3780,5040,5040,10080,15120,
4320,135,135,945,1890,1890,2835,2835,2835,2835,3780,5670,5670,5670,5670,11340,
840,840,1120,1680,3360,3360,756,2268,2268,126,1260,1260,1260,2520,2520,3780,
3780,3780,3780,3780,3780,3780,15120,4320,3024,315,2835,2835,2835,2835,2835,
2835,5670,5670,5670,840,840,1680,3360,3360,5040,5040,5040,5040,10080,756,2268,
2268,4536,4536,4320,1260,1260,1260,1260,1890,3780,3780,3780,3780,3780,3780,
3780,3780,3780,3780,3780,3780,3780,7560,7560,7560,280,1120,1120,1120,3024,945,
945,945,2835,2835,2835,2835,840,1260,1260,2520,2520,2520,5040,756,2268,2268,
4320,315,315,630,1890,1890,3780,3780,3780,3780,840,1680,3360,3360,3360,1080,
1080,126,504,756,3024,2835,840,1260,1260,1260,1260,1260,1260,2520,2268,1120,
315,315,945,945,945,945,945,1890,280,840,840,378,756,756,1512,315,1260,1260,
1120,1080,1080,1080,1080,504,504,945,945,945,840,840,126,378,378,756,315,315,
315,280,84,504,504,378,120,120,315,280,126,252,84,135,135,126,120,120,84,36,
36,9,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
9,9,9,9,9,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,15,16,16,16,
16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,21,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,30,32,32,32,
32,32,32,32,36,36,36,36,36,36,36,40,40,40,42,48,48,48,48,48,48,48,48,48,54,54,
54,54,54,56,56,60,60,60,60,64,72,72,72,72,72,72,72,72,80,81,96,96,96,96,96,96,
96,96,108,108,108,120,120,120,120,144,144,144,162,168,168,168,168,180,180,192,
192,192,216,216,240,240,240,240,288,288,288,324,360,360,360,480,504,504,576,
648,720,720,1080,1344,1344,1440,1512,1512,2160,2520,5040,20160,181440],
[223,206,191,219,183,175,216,190,192,182,154,141,120,118,198,182,181,141,128,
129,83,61,133,215,214,191,172,170,154,154,154,154,141,118,118,120,118,71,193,
194,183,175,145,147,198,163,163,216,182,182,181,161,156,139,141,142,141,141,
141,141,61,133,153,209,154,154,154,154,154,154,120,118,120,193,194,175,145,
147,129,129,128,127,83,198,163,163,132,131,133,181,182,181,182,172,139,139,
140,141,141,142,141,139,141,140,142,141,142,108,109,110,210,183,183,183,153,
190,192,191,154,154,154,154,194,181,182,155,162,162,129,198,163,163,133,209,
209,201,172,172,139,140,141,142,194,175,145,146,147,184,185,216,204,198,153,
154,193,181,182,181,181,182,182,162,163,183,209,209,190,190,192,191,192,172,
210,194,194,206,198,196,179,209,181,182,183,184,185,186,187,205,204,190,191,
192,193,194,216,206,206,198,209,209,209,210,219,204,205,206,218,217,209,210,
216,212,219,214,215,216,217,218,219,221,221,222,223],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,1,6,6,5,1,1,1,1,1,1,3,1,1,1,1,2,3,3,1,3,2,
1,1,1,1,1,1,15,1,15,7,10,1,1,10,7,9,4,8,4,4,4,1,6,23,1,1,3,3,3,3,3,3,2,3,2,39,
40,42,43,44,4,6,6,4,5,1,15,15,15,15,23,48,49,4,4,7,54,9,49,2,18,8,4,54,18,10,
56,18,56,28,53,52,1,5,5,5,15,8,9,3,11,11,9,8,40,7,10,39,40,40,42,15,15,15,23,
64,64,7,48,48,54,49,18,56,40,42,43,39,44,25,24,150,151,7,63,30,74,124,50,51,
48,49,125,75,46,41,134,135,64,135,64,118,134,94,111,40,111,150,84,150,151,64,
124,125,164,148,149,186,187,150,151,135,170,134,155,143,150,150,150,152,134,
135,180,173,203,189,188,176,207,208,180,202,195,203,203,214,215,211,208,207,
213,220,220,222,223],
[(1,2,3),(3,4,5,6,7,8,9)],
[[[[]]],[[[1,-1,2,1,1,-1,2,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[1,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,-1,2,-1],[3,1,
4,1,3,1,4,1]]],[[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]],[[1,-1],[3,1,2,-1,
1,-1,2,-1,3,1,2,2,1,1]]],[[[1,-1],[1,1,2,1],[1,1,2,-2,3,1,1,-1,2,-1,3,1,4,-1,
2,-1,4,1]],[[1,-1],[1,1,2,1],[2,1,1,1],[3,1,2,1,5,1,4,2,3,-1,2,1,5,-1]]],[[[2,
1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,
1,3,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[1,-1],[3,1,2,1,1,1,2,
1,3,1,2,-1,1,1,2,-1]]],[[[1,-1],[1,1,2,1],[2,1,1,-1,2,1,3,-1,4,2,3,1,2,1,1,-1,
2,-1]],[[1,-1],[1,1,2,1],[3,1,1,1,2,-2,4,-1,2,1,1,-1,2,1,3,1,4,1]]],[[[1,1,2,
1],[3,1,2,2,1,-1,3,-2,2,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,
-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,-1,2,1,1,1,2,1]]],[[[1,1,2,1],[
2,1,3,1,1,1,2,-1,3,-1]]],[[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-1]],[[1,
-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1,2,1,1,-1,2,-1,1,1,2,-1]],[[2,
-1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,-1,3,1,4,-1]]],[[[1,-1],[
3,1,2,1,1,-1,2,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2,3,
-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1]],[[1,-1],[3,1,2,-1,1,-1,2,-1,3,
1,2,2,1,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-2,2,-1,1,1,2,-1]],[[1,1,2,1],[1,
-1,2,-1,1,1,2,-1],[3,1,4,-2,3,-1]]],[[[1,1,2,1,1,-1,2,-2]]],[[[2,1]]],[[[2,1,
1,1,2,1,1,-1,2,2],[2,2,1,1,2,2,1,-1],[4,-1,3,-3,4,1]],[[2,1,1,1,2,1,1,-1,2,
2],[3,-3]],[[2,1,1,1,2,1,1,-1,2,2],[2,2,1,1,2,2,1,-1],[4,1,3,-3,4,-1]]],[[[2,
1,1,1,2,1,1,-1,2,2],[2,2,1,1,2,2,1,-1],[4,1,3,1],[4,1,5,1,3,2,5,1]],[[2,1,1,1,
2,1,1,-1,2,2],[2,2,1,1,2,2,1,-1],[3,1,4,1,3,1,4,-1]],[[2,1,1,1,2,1,1,-1,2,2],[
2,2,1,1,2,2,1,-1],[3,2],[5,-1,4,-2,5,1]]],[[[1,1,2,1],[1,-1,2,-2,3,-1,2,2,1,
-1,3,1]],[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,1,
-1,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[2,1,1,-1,2,1,3,-1,4,2,3,1,2,
1,1,-1,2,-1]],[[1,1,2,1],[2,1,3,2,1,-1,2,2,1,-1,3,-1]],[[1,-1],[1,1,2,1],[3,1,
1,1,2,-2,4,-1,2,1,1,-1,2,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
-1,4,-1,3,-1,2,-2]],[[1,1,2,1],[3,1,1,-1,2,2,3,1,2,1,1,-1,2,1]]],[[[1,1,2,1],[
3,1,2,2,1,1,3,1,2,2]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[1,1,
2,1],[1,1,2,-2,3,1,1,-1,2,-1,3,1,4,-1,2,-1,4,1]],[[1,-1],[3,1,2,1,1,-1,2,1,1,
1,2,1,3,1,2,1,1,-1]],[[1,-1],[1,1,2,1],[2,1,1,1],[3,1,2,1,5,1,4,2,3,-1,2,1,5,
-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1,1,-1,2,2]],[[1,-1],[1,1,2,1],[4,1,3,1,
2,1,4,1,3,1,2,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-2,1,-1,2,-1,3,-1]],[[2,1,1,-1,2,
2,1,1,2,1]]],[[[1,-1],[3,1,1,1,2,-2,3,1,2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,-1,2,
-1,1,1,2,-1]]],[[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[2,2,1,1,2,2,1,
-1]]],[[[1,-1],[1,1,2,1],[1,1,2,-2,3,1,1,-1,2,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,
1],[2,1,3,1,1,-1],[3,1,4,-2,3,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[4,1,5,1,3,1,
4,-1,5,-1,3,-1]],[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,
-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,2,1,-1,2,1]]],[[[1,1,2,1],[2,
1,3,1,1,-1],[3,1,4,-2,3,-1]],[[1,-1],[3,1,1,1,2,-2,3,1,2,1,1,-1,2,1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,3,1,1,-1,4,1,3,1]],[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,
1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,-1]],[[1,-1],[3,1,2,2,1,1,2,
-1,1,-1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,-1,2,1,4,1,1,-1,2,-2,3,-1,
4,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,-1,3,1,2,1,1,-1,2,1,4,1]]],[[[1,1,2,
1],[1,1,2,-2,3,2,2,1,3,1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,
-1]]],[[[1,1,2,1]]],[[[2,1,1,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1]],[[1,-1],[3,1,2,
-1,3,-1,1,1,2,1]]],[[[2,1,1,1,2,1],[1,-1,3,2]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,
1,3,1,4,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,-2,1,-1,2,
2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1],[1,-1,2,-2,3,-1,2,1,3,2]],[[1,1,2,-2,1,
1,2,2]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,2,1,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,-3,
1,-1,2,3,1,1]],[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,-1,2,1,4,1,3,1]]],[[[1,-1],[
3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,-1],[3,1,2,
-1,1,-1,2,-1,3,1,2,2,1,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,2,3,1]],[[1,-1],[3,
1,2,1,3,1,2,1,1,-1,2,1]]],[[[1,1,2,1],[1,-1,2,-2,3,-1,2,1,3,2]],[[1,1,2,1,1,
-1,2,-2,1,-1,2,1,1,-1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]],[[1,1,
2,1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2,
3,-1]],[[1,-1],[1,1,2,-2,3,-1,2,1,1,1,2,1,3,1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,
2,1,4,1,3,1,2,1]],[[1,1,2,1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[
1,1,2,-1],[2,1,4,-1,3,-1,4,1,2,-1,3,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,
1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,
4,-1,3,-1,4,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[1,-1],[3,1,2,
1,1,1,2,1,3,1,2,-1,1,1,2,-1]],[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]],[[1,
-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1]]],[[[1,-1],[2,1,1,1,2,
1],[4,1,3,1,4,1,3,1]],[[2,2,1,1,2,1,1,-1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,-1],[3,
1,4,-2,3,-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-1,2,1,1,1,2,
1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,2,1,1,2,-1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,1,1,3,-1,2,1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,1,1,2,-2,3,
-1,4,-1]],[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]]],[[[1,-1],[1,1,2,1],[3,1,
2,1,4,2,3,1,2,2,1,-1,2,-1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,-1,4,-1,3,1,4,-1,2,
-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,-1,2,-1,3,-1,4,-1,3,1,2,1,4,1]]],[[[1,-1],[2,
1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,-1,2,1]]],[[[1,-1],[1,1,2,1],[1,1,2,
-2,3,1,1,-1,2,-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,
2,1,4,-1,1,1]],[[1,-1],[1,1,2,1],[2,1,1,1],[3,1,2,1,5,1,4,2,3,-1,2,1,5,
-1]]],[[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[2,2,1,1,2,1,1,-1,2,-1]]],[[[
1,1,2,1],[3,1,1,-1,2,1,1,-1,2,1,3,1,2,1,1,1,2,-1]],[[1,-1],[1,1,2,1],[2,1,4,
1],[3,1,5,-1,4,-1,5,1,3,1,4,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[
2,1,1,-1,2,2,1,1,2,1]],[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,
1],[1,-1,2,-2,3,-1,2,2,1,-1,3,1]],[[1,-1],[1,1,2,-2,3,1,2,1,1,-1,2,1,3,1]],[[
1,1,2,1],[3,1,2,1,1,-1,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,
2,2,1,1,2,-1,1,1,2,-1,3,-1,4,-1]],[[1,-1],[2,1,1,-1,2,1],[3,1,4,-1,3,1,4,
-1]],[[1,-1],[1,1,2,1],[2,2,1,-1],[3,1,5,-1,4,-2,5,-1,3,-1]]],[[[1,1,2,1],[2,
1,3,1,1,-1],[3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,-1,3,-1,2,-1,1,1]]],[[[1,1,2,
1],[1,1,2,-1,3,1,2,1,1,1,2,1,1,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,-1,2,
1,3,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,1,1,1,3,2,2,1,4,
-1]]],[[[1,1,2,-2,1,1,2,2]],[[1,1,2,-1,1,1,2,1]],[[2,2,1,1,2,-2,1,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,2,1,-1,4,1,2,-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,
3,1,4,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,1,1,3,1]]],[[[1,-1],[1,1,2,1],[3,
1,2,-2,4,3,3,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[3,1,2,1,
1,-1,2,1,1,1,2,1,3,1,2,1,1,-1]],[[2,1,1,-1,2,1],[1,-1,3,-1,1,1,2,1,3,1]]],[[[
1,1,2,1],[3,1,2,2,3,1,1,1]],[[2,3,1,-1,2,1,1,1]]],[[[1,-1],[3,1,2,1,3,1,2,1,1,
-1,2,1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,1,-1,2,-1,3,
-1]],[[1,1,2,3,1,-1,2,1]]],[[[1,-1],[1,1,2,1],[3,1,2,2,4,2,3,-1,4,-1,2,-1]],[[
1,1,2,1],[3,1,2,2,1,1,2,-1,1,1,2,-1,3,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,
1,4,1]],[[1,1,2,3,1,-1,2,1]]],[[[2,1,1,1,2,1],[1,-1,3,2]],[[2,1,1,-1,2,1],[3,
2,1,1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,3,-1,2,-2,1,1,3,-1]],[[1,-1],[2,1,1,1,2,
1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,-1],[2,1,
1,-1,2,1],[4,1,3,-1,4,1,3,1]]],[[[1,-1],[3,1,2,1,1,-1,2,2,1,1,2,-1,3,1]],[[1,
-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,-1,2,-2,3,-1,2,1,1,-1,2,
1,3,1]],[[1,1,2,1,1,-1,2,-2,1,-1,2,1,1,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,2,4,2,
3,-1,4,-1,2,-1]],[[1,1,2,1],[1,-1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,-1],[3,1,2,1,
1,1,2,1,1,1,2,-2,3,-1]],[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2,1,1]]],[[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1]],[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[1,
-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]]],[[[1,-1],[1,1,2,1],[3,1,1,1,2,-2,4,-1,
3,1,2,2,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,3,1,2,2,1,1,3,-1]],[[1,1,2,1],[2,-2,3,
-1,2,2,1,1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,-1,1,1,2,-1,4,
-1]]],[[[1,1,2,1],[1,-1,2,-2,3,-1,2,2,1,-1,3,1]],[[1,-1],[3,1,2,1,1,1,2,1,3,1,
2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,1,1,3,-1,2,-1,3,-1]],[[1,-1],[3,
1,2,-1,1,1,2,-1,3,1,2,1,1,1,2,1]]],[[[1,1,2,1],[3,1,2,2,1,-1,2,-2,1,1,3,
-1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[2,1,1,1,2,1],[4,1,3,
1,4,1,3,1]],[[1,1,2,2,1,-1,2,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,2,1,
1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[1,1,2,1],[2,1,1,1],[3,
1,2,1,5,1,4,2,3,-1,2,1,5,-1]],[[1,-1],[1,1,2,1],[3,1,1,1,2,-2,4,-1,2,1,1,-1,2,
1,3,1,4,1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,3,-1,4,-2]]],[[[1,1,2,1],[1,-1,2,
-2,3,-1,2,2,1,-1,3,1]],[[2,1,1,1,2,-1,1,-1,2,2,1,-1]]],[[[1,-1],[3,1,1,1,2,-2,
3,1,2,1,1,-1,2,1]],[[1,1,2,1,1,-1,2,-1,1,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,-1,2,
-2,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,2,1,1]],[[1,-1],[1,1,2,1],[4,
1,3,1,2,1,4,1,3,1,2,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1]],[[1,1,2,-2,1,-1,
2,2,1,1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,1,1,2,-1,3,-1]],[[1,-1],[2,1,1,1,2,1],[
4,1,3,1,4,1,3,1]],[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]]],[[[1,-1],[3,1,2,
-2,1,-1,2,1,1,-1,2,1,3,-1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,
2,1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1,1,-1,2,-1,1,1,3,
-1]]],[[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]],[[1,1,2,1,1,-1,2,1]]],[[[1,
1,2,1],[2,2,1,1,3,-1,1,1,2,-2,1,1,3,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,1,1,3,-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],[2,1,1,-1,2,-1],[4,1,3,1,4,1,
3,1]],[[2,1,1,1,2,2,1,-1,2,1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[
1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,
4,1]],[[1,1,2,-2,1,-1,2,-2,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]],[[1,
-1],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[1,-1,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,1,1,-1]]],[[[1,-1],[1,1,
2,1],[4,1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,3,2]]],[[[1,1,2,1],[3,1,1,1,2,1,
3,1]],[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[
1,1,2,1],[3,1,1,1,3,-1,2,-1,3,1,2,2,1,1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,1,1,2,
-1,3,-1]],[[2,1,1,1,2,2,1,-1,2,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[2,1,1,1,2,2,1,-1,2,1]],[[1,
-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[1,1,2,1],[1,1,2,-2,3,1,1,-1,2,
-1,3,1,4,-1,2,-1,4,1]],[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2,3,-1]],[[1,-1],[1,
1,2,1],[2,1,1,1],[3,1,2,1,5,1,4,2,3,-1,2,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-1,2,-1,3,1,2,1,4,-1,1,1]]],[[[1,1,2,2,1,-1,2,2]],[[2,2,1,1,2,2,1,-1]]],[[[1,
-1],[1,1,2,1],[3,1,4,-1,2,-1,3,-1,4,-2]],[[1,-1],[3,1,1,1,2,-2,3,1,2,1,1,-1,2,
1]],[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,1,
1,2,-2,3,-1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,2,1,-1,
3,2,2,1,1,-1,2,-1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[1,1,2,
1],[1,-1,2,-2,3,-1,2,1,1,-1,2,1,3,1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1],[3,1,2,
2,1,1,2,-1,1,-1,2,-1,3,-1]],[[2,-1,1,1,2,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,
2,1],[1,1,2,-2,3,2,1,-1,2,1,3,1]],[[1,1,2,1],[2,1,3,1,1,-1],[4,1,3,1,4,
1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[4,1,3,1,5,1,4,1,3,-1,5,-1]],[[1,1,2,1],[1,
1,2,-2,3,2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[
1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,
2,1,4,-1]],[[1,1,2,1],[2,2,1,1,3,1,1,1,3,-1,2,-1,3,-1]]],[[[1,-1],[2,1,1,1,2,
1],[4,1,3,1,4,1,3,1]],[[1,1,2,1,1,-1,2,-1]],[[2,2,1,1,2,1,1,-1,2,1]]],[[[1,1,
2,1],[2,1,3,1,1,-1],[3,1,4,-2,3,-1]],[[2,3,1,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
-1,2,-1,3,-1,2,-2,1,1,3,-1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,
-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[1,-1],[1,1,2,1],[2,1,4,1],[4,1,5,
1,3,1,4,-1,5,-1,3,-1]],[[1,1,2,-2,1,-1,2,2,1,1,2,1]]],[[[1,1,2,-2,1,-1,2,2,1,
1]],[[2,2,1,-1,2,1,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,1,3,1,2,1,1,
-1]],[[1,1,2,1],[2,1,1,-1,2,2,3,1,1,-1,3,1]]],[[[1,-1],[1,1,2,1],[3,1,2,2,4,2,
3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,
1,3,1,1,-1],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[1,-1,2,-1,1,1,2,-1],[3,1,4,-2,3,
-1]],[[1,1,2,1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,3,1,2,1,1,
-1,2,-1,1,1,3,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,-1,2,1,4,1,3,1]],[[1,
1,2,1],[2,1,3,1],[3,1,4,1,1,1,4,-1,3,-1]],[[1,1,2,1],[3,1,1,-1,2,2,1,1,2,-2,3,
-1]],[[1,-1],[3,1,1,1,2,-2,3,1,2,1,1,-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],[1,1,2,-1],[4,1,2,-1,3,-1,2,1,4,-1,3,1]],[[1,1,
2,1],[2,2,1,-1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,3,1,1,-1,2,-1,1,1,3,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,3,1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,1,1,
2,-1,3,-1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,-1],[3,1,2,-1,1,-1,2,
-1,3,1,2,2,1,1]]],[[[2,1,1,-1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,1]],[[1,-1],[3,1,2,
-1,1,-1,2,-1,3,1,2,2,1,1]],[[1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,3,1]]],[[[1,1,2,
1],[2,1,3,1,1,-1,3,2,1,-1,2,-2]],[[2,1,1,-1,2,-2,1,-1,2,1]],[[1,1,2,1],[3,2,2,
1,1,1,2,-2,3,-1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[1,1,2,1,1,-1,
2,1]]],[[[1,1,2,1],[2,2,1,-1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,-1,3,3,2,
1]],[[1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,3,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,
3,1,4,1]],[[1,1,2,3,1,-1,2,1]],[[1,-1,2,3,1,1,2,1]]],[[[1,-1],[3,1,2,1,1,-1,2,
1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,1],[1,-1,2,-1,1,1,2,-1,3,-2,2,-1]]],[[[1,
-1],[3,1,2,1,1,-1,2,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,2,1],[2,-1,3,3,2,1]]],[[[1,
-1],[1,1,2,1],[2,1,1,-1,2,1,3,-1,4,1,2,1,4,1,3,1]],[[1,-1],[1,1,2,1],[3,1,4,
-1,2,-1,3,-1,4,-2]]],[[[1,1,2,1],[1,-1,2,-2,3,3,2,1]],[[1,-1],[3,1,2,1,1,1,2,
-1,3,1,2,-1,1,-1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1,1,-1,2,-2]],[[1,-1],[2,
1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,2,1,-1,2,-2]],[[1,1,2,-1,1,-1,2,1]],[[
1,1,2,-2,1,-1,2,2]]],[[[2,2,1,-1,2,-2,1,-1]],[[1,1,2,-1,1,-1,2,1,1,1]],[[1,-1,
2,-2,1,-1,2,2]]],[[[2,1,1,1,2,2,1,-1,2,-1,1,1]],[[2,1,1,1],[3,1,2,-1,1,-1,2,1,
3,1]]],[[[1,-1],[1,1,2,1],[3,1,2,-2,4,-1,3,1,2,1,4,2]],[[1,1,2,1,1,-1,2,1,1,
-1,2,1,1,-1,2,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1]],[[2,1,1,1,2,2,1,
-1,2,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,2],[1,-1,4,
-1,3,-1,4,-1,3,-1]],[[1,1,2,-1,1,1,2,2,1,-1,2,1]]],[[[1,-1,2,-2,1,-1,2,2]],[[
2,2,1,1,2,-1,1,-1,2,-1]],[[1,-1,2,-1,1,1,2,1]]],[[[1,-1],[1,1,2,1,3,1,2,1,1,
-1,2,1,3,-1]],[[1,1,2,-2,1,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,
-1,2,1,4,-1,3,1]],[[2,2,1,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,-1,2,-2,3,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,3,-1,2,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
1]],[[1,1,2,-1,1,-1,2,1,1,1]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,
2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,-1,2,-2,3,1]],[[1,-1],[2,1,1,-1,2,
1],[3,1,4,-1,3,1,4,-1]],[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,3,-1,4,-2]]],[[[1,1,
2,-2,1,-1,2,2,1,1]],[[2,1,1,-1,2,1,1,1,2,-1,1,-1]]],[[[1,-1],[2,1,1,-1,2,1],[
4,1,3,-1,4,1,3,1]],[[2,1,1,1,2,2,1,-1,2,1]]],[[[1,1,2,1],[2,1,3,2]],[[1,
1]]],[[[1,-1],[3,1,2,-1,1,1,2,1,3,1,2,1,1,-1,2,-1]],[[1,1,2,2,1,-1,2,2]],[[1,
-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[3,1,2,-1,1,1,2,1,3,1,2,1,1,-1,
2,-1]],[[2,2,1,1,2,2,1,-1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[
1,-1],[1,1,2,1],[4,1,2,1,3,1,2,1,4,1,3,1]],[[2,1,1,1,2,1,1,-1,2,2]]],[[[1,
-1],[3,1,2,-1,1,1,2,1,3,1,2,1,1,-1,2,-1]],[[1,1,2,1],[2,1,1,-1,2,-1],[4,1,3,1,
4,1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[1,-1],[3,1,2,-1,1,
-1,2,-1,3,1,2,2,1,1]],[[2,1,1,1,2,3,1,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1],[4,1,
3,1,4,1,3,1]],[[2,1,1,1,2,2,1,-1,2,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,
1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]],[[1,1,2,1],[2,1,1,-1,2,
-1],[3,1,4,1,3,1,4,1]],[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]]],[[[1,-1],[
3,1,2,2,1,1,2,-1,1,1,2,-1,3,-1]],[[2,2,1,1,2,2,1,-1]]],[[[1,-1],[3,1,2,-2,1,
-1,2,1,1,-1,2,1,3,-1]],[[1,-1],[3,1,2,1,3,1,2,1,1,-1,2,1]],[[2,2,1,1,2,-1,1,1,
2,-1]]],[[[1,-1,2,1,1,1,2,2,1,-1,2,1]],[[1,1,2,1],[3,1,2,1,1,-1,2,1,3,1]]],[[[
1,1,2,1],[1,-1,2,2,3,1,2,1,1,-1,2,-1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,
3,1,2,1]],[[1,1,2,-1,1,-1,2,2,1,1,2,-1,1,-1]]],[[[2,1,1,-1,2,1,1,1,2,2,1,
1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2,3,-1]],[[1,1,
2,1],[2,1,3,2,1,1,2,-2,3,1]],[[1,-1,2,-2,1,-1,2,2]]],[[[2,-2,1,1,2,2]],[[2,1,
1,-1,2,-1]],[[2,2,1,1,2,-2]],[[1,1,2,-1,1,-1,2,1,1,1]]],[[[1,-1],[1,1,2,1],[2,
1,4,1,3,1,4,1,3,1,2,2]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]]],[[[1,
-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]],[[1,1,2,1],[2,1,1,-1,2,-1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[3,1,1,1,2,
-2,3,1,2,1,1,-1,2,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,2,1,1,2,-1,
1,1,2,-1]]],[[[2,2,1,-1,2,-1,1,-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[1,1,
2,-1,1,-1,2,1,1,1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,1,3,1,2,1,1,-1]],[[1,1,
2,1],[2,-1,3,3,2,1]],[[2,2,1,1,2,-2]]],[[[2,1,1,1,2,1,1,-1,2,2]],[[1,1,2,2,1,
-1,2,-1]]],[[[2,3,1,1,2,1,1,-1]],[[1,1,2,2,1,-1,2,-1]]],[[[2,2,1,1,2,2,1,
-1]],[[1,1,2,1,1,-1,2,1]]],[[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,-1,2,-2,3,1]],[[1,
1,2,1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,2]],[[1,1,2,
-1,1,-1,2,1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[1,-1,2,1,1,1,2,
2]]],[[[2,1,1,1,2,1,1,-1,2,2]],[[2,2,1,1,2,2,1,-1]]],[[[1,-1],[3,1,2,-1,1,-1,
2,-1,3,1,2,2,1,1]],[[1,1,2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,1,2,2,1,-1,
2,2]],[[2,2,1,1,2,1,1,-1,2,1]]],[[[1,-1],[3,1,2,-1,1,1,2,-2,1,-1,2,-1,3,
-1]],[[1,-1,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,1,2,-2,1,-1,2,2,1,1]],[[2,2,1,1,2,
-1,1,-1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1,2,1],[1,-1,3,2]],[[2,2,1,1,2,-1,1,-1,2,
-1]],[[2,1,1,-1,2,1],[1,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,-1,2,1,
4,-1,3,1]],[[1,-1],[3,1,2,-1,1,1,2,-1,3,1,2,2,1,1]],[[2,1,1,-1,2,-1,1,-1]],[[
1,1,2,1],[2,2,1,1,3,1,1,1,3,-1,2,-1,3,-1]]],[[[2,2,1,-1,2,2,1,1]],[[1,1,2,-1,
1,-1,2,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,1,2,1,1,-1,2,1]],[[1,1,2,-2,1,-1,
2,-1,1,1,2,1]],[[2,2,1,1,2,-2,1,1]]],[[[2,1,1,1,2,1,1,-1,2,2]],[[1,1,2,1,1,-1,
2,-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,-2,1,-1,2,2]],[[2,1,1,1,2,1,1,-1,2,
2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1],[3,1,2,2,1,1,2,-1,1,1,2,-1,3,-1]],[[2,2,1,
1,2,2,1,-1]],[[1,-1],[3,1,2,-2,1,-1,2,1,1,-1,2,1,3,-1]]],[[[2,1,1,-1,2,1,1,-1,
2,1]],[[1,1,2,1],[2,1,3,2]],[[1,1]]],[[[1,1,2,-2,1,-1,2,2]],[[1,1,2,-1,1,-1,2,
1]],[[1,1,2,2,1,-1,2,-2]],[[2,1,1,1,2,-1,1,-1]]],[[[1,1,2,1],[2,1,1,-1,2,2,3,
1,1,-1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,4,1,3,1,2,1]],[[1,-1],[2,1,1,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[3,1,2,-1,1,-1,2,-1,3,1,2,2,1,1]],[[1,-1],[1,
1,2,1],[4,1,3,1,2,1,4,1,3,1]]],[[[2,1,1,-1,2,1,1,1,2,2,1,1]],[[1,1,2,-2,1,1,2,
2]],[[1,1,2,-1,1,-1,2,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,
1]]],[[[1,-1],[3,1,2,-1,3,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,2,1,3,1]]],[[[2,1,1,
1,2,1,1,-1,2,2]],[[2,2,1,1,2,1,1,-1,2,1]],[[1,1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[
2,1,3,1],[3,1,1,-1,4,1,3,1,4,1]],[[1,-1],[1,1,2,1],[3,1,2,-2,3,1,4,-2]]],[[[1,
-1,2,1,1,-1,2,2,1,1,2,-1]],[[1,1,2,-1,1,-1,2,1]],[[2,1,1,1,2,-1,1,-1,2,
2]]],[[[2,1,1,1,2,1,1,-1,2,2]],[[1,1,2,2,1,-1,2,-2]],[[1,1,2,-1,1,-1,2,
1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,-1]],[[1,1,2,2,1,-1,2,-2]],[[1,1,2,-1,1,-1,2,
1]]],[[[2,2,1,1,2,1,1,-1,2,-1]],[[1,1,2,1,1,-1]]],[[[2,1,1,1,2,1,1,-1,2,
-1]],[[1,1,2,1,1,-1,2,1]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[1,1,2,1],[3,1,2,2,1,1,
3,1,1,-1,2,1,3,1],[4,2]]],[[[2,1,1,-1,2,1,1,-1,2,1,1,-1,2,-1],[3,2]],[[1,1,2,
-2,1,-1,2,1]]],[[[2,1,1,1,2,2,1,-1,2,-1,1,-1],[3,2]],[[1,-1,2,-2,1,1,2,
1]]],[[[2,2,1,-1,2,-2,1,-1]],[[2,1,1,-1,2,1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,1,2,1,1,-1,2,-1,1,1]],[[2,1]]],[[[2,1,1,-1,2,
-1,1,1]],[[2,1]]],[[[1,1]],[[2,1]]]]);
ACLT( "A9",
"sortperm",(  8,  9)( 16, 17)( 24, 25)( 27, 28)( 29, 30)( 31, 32)( 34, 37, 35)
( 50, 51)( 55, 60, 56, 58, 57)( 66, 68)( 67, 69, 70)( 71, 72)( 77, 78)
( 79, 80, 81)( 87, 88)( 90, 93)( 95, 98,102,107, 97)( 96,106,103,104)(100,105)
(116,118)(120,121)(134,135)(139,142,140)(157,158,160)(159,161)(167,170,171)
(168,169)(177,178)(184,185,187)(188,189)(190,191,192)(193,194)(196,197)
(199,200,201)(207,208));




LIBTOM( "A10",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,3,9],[1,2,3,10],[1,2,3,
11],[1,3,12],[1,2,3,13],[1,2,14],[1,2,15],[1,3,16],[1,17],[1,18],[1,2,4,19],[
1,2,5,20],[1,3,4,21],[1,3,5,22],[1,3,5,23],[1,3,6,24],[1,2,4,25],[1,2,5,26],[
1,3,5,27],[1,28],[1,3,9,29],[1,2,3,8,11,30],[1,2,3,7,11,13,31],[1,2,3,8,10,11,
32],[1,2,3,9,11,13,33],[1,2,3,10,11,12,13,34],[1,2,7,8,14,35],[1,2,3,7,10,15,
36],[1,2,3,10,13,14,37],[1,2,3,8,13,15,38],[1,3,9,16,39],[1,2,3,9,11,16,40],[
1,2,3,8,13,14,41],[1,3,12,16,42],[1,2,3,10,13,15,43],[1,3,16,44],[1,2,3,11,16,
45],[1,2,3,11,15,46],[1,3,9,16,47],[1,2,3,11,14,48],[1,2,3,11,14,15,49],[1,3,
16,50],[1,4,5,51],[1,6,52],[1,5,6,53],[1,4,5,6,54],[1,6,55],[1,6,56],[1,2,17,
57],[1,3,17,58],[1,3,18,59],[1,2,17,60],[1,2,4,7,61],[1,2,5,8,62],[1,2,5,7,
63],[1,2,6,7,64],[1,2,6,8,65],[1,3,5,9,66],[1,3,6,12,67],[1,2,5,7,26,68],[1,2,
4,7,25,69],[1,2,4,8,25,70],[1,2,3,5,10,26,27,71],[1,2,3,5,10,22,26,72],[1,3,5,
12,22,23,27,73],[1,2,4,8,19,25,74],[1,2,3,4,13,21,25,75],[1,2,3,4,11,19,21,25,
76],[1,2,3,5,11,20,23,26,77],[1,2,3,5,13,23,26,78],[1,2,3,5,13,20,22,27,79],[
1,2,4,14,25,80],[1,2,5,15,26,81],[1,2,4,14,25,82],[1,2,5,15,26,83],[1,3,28,
84],[1,4,17,85],[1,2,3,8,10,11,30,32,86],[1,2,3,7,9,11,13,31,33,87],[1,2,3,7,
8,10,11,12,13,31,32,34,88],[1,2,3,8,10,11,14,15,32,48,49,89],[1,2,3,7,11,13,
14,15,31,46,49,90],[1,2,3,10,11,12,13,16,34,42,45,91],[1,2,3,7,10,11,12,13,15,
31,34,36,43,46,92],[1,2,3,9,10,11,12,13,14,15,33,34,37,43,49,93],[1,2,3,8,9,
10,11,13,15,32,33,38,43,46,94],[1,2,3,8,9,11,13,16,30,33,40,45,95],[1,2,3,8,
10,11,12,13,14,32,34,37,41,48,96],[1,2,3,8,10,11,12,13,14,15,30,34,38,41,49,
97],[1,2,3,7,8,10,11,13,14,15,31,32,35,36,37,38,49,98],[1,2,3,7,8,11,13,14,30,
31,35,41,48,99],[1,2,3,9,11,13,16,29,33,39,40,47,100],[1,2,3,8,11,15,30,46,
101],[1,2,3,10,11,12,13,14,15,34,46,48,102],[1,2,3,8,10,11,15,16,32,45,46,
103],[1,2,3,9,11,13,14,33,48,104],[1,2,3,7,11,13,14,16,31,45,48,105],[1,2,3,9,
11,13,16,33,47,106],[1,2,3,11,14,15,16,45,49,107],[1,2,3,11,14,15,46,48,49,
108],[1,2,3,11,16,45,50,109],[1,2,3,9,11,16,39,40,44,45,47,110],[1,3,9,12,16,
39,42,50,111],[1,3,12,16,42,44,50,112],[1,2,4,5,19,20,51,113],[1,3,4,5,21,23,
51,114],[1,3,6,24,52,115],[1,3,4,5,6,21,22,24,54,116],[1,2,4,5,25,26,51,117],[
1,2,4,5,19,25,51,118],[1,3,4,5,22,27,51,119],[1,2,4,5,6,20,25,54,120],[1,3,4,
5,6,21,27,54,121],[1,3,5,6,24,27,53,122],[1,3,6,24,55,123],[1,3,6,24,56,124],[
1,2,7,17,60,125],[1,2,14,17,57,126],[1,3,16,17,58,127],[1,3,16,18,59,128],[1,
2,3,13,17,58,60,129],[1,2,3,11,17,57,58,60,130],[1,5,28,131],[1,6,28,132],[1,
4,28,133],[1,2,5,7,8,14,20,35,62,134],[1,2,4,7,8,14,19,35,61,135],[1,2,3,4,7,
10,15,21,36,61,136],[1,2,3,5,8,13,15,23,38,62,137],[1,2,3,5,8,13,14,22,41,62,
138],[1,2,5,7,8,14,20,35,63,139],[1,2,3,6,7,10,15,24,36,64,140],[1,3,6,12,16,
24,42,67,141],[1,2,3,5,9,11,16,20,40,66,142],[1,3,5,9,16,22,39,66,143],[1,2,3,
6,8,13,14,24,41,65,144],[1,2,3,5,8,10,11,26,32,62,145],[1,2,3,4,7,11,13,25,31,
61,146],[1,2,3,5,8,11,27,30,62,147],[1,3,5,9,27,29,66,148],[1,2,3,4,7,11,13,
19,21,25,31,69,75,76,149],[1,2,3,5,7,11,13,20,23,26,31,68,77,78,150],[1,2,3,4,
8,11,19,21,25,30,70,74,76,151],[1,2,3,5,10,11,12,13,20,22,23,26,27,34,71,72,
73,77,79,152],[1,2,4,7,8,14,19,25,35,69,74,80,153],[1,2,3,5,7,10,15,22,26,36,
68,72,81,154],[1,2,3,5,10,13,15,23,26,27,43,71,78,81,155],[1,2,3,4,8,13,14,21,
25,41,70,75,80,156],[1,2,3,5,7,10,15,26,27,36,68,71,83,157],[1,2,4,7,8,14,25,
35,69,70,82,158],[1,2,3,5,10,13,15,22,23,26,43,72,78,83,159],[1,2,3,4,8,13,14,
19,21,25,41,74,75,82,160],[1,2,3,4,11,14,19,21,25,48,76,80,82,161],[1,2,3,5,
11,15,20,23,26,46,77,81,83,162],[1,3,5,16,27,44,163],[1,17,18,164],[1,4,5,6,
51,53,54,165],[1,5,6,53,55,166],[1,5,6,53,56,167],[1,5,6,52,53,168],[1,2,4,17,
19,60,85,169],[1,2,4,17,25,57,85,170],[1,3,4,17,21,58,85,171],[1,2,3,8,9,11,
13,16,29,30,33,39,40,44,45,47,95,100,110,172],[1,2,3,7,8,10,11,12,13,14,15,30,
31,32,34,35,36,37,38,41,48,49,86,88,89,96,97,98,99,173],[1,2,3,7,8,9,10,11,12,
13,14,15,31,32,33,34,35,36,37,38,43,46,49,87,88,90,92,93,94,98,174],[1,2,3,7,
9,11,13,16,29,31,33,39,40,47,87,100,106,175],[1,2,3,8,9,10,11,13,15,16,30,32,
33,38,40,43,45,46,86,94,95,101,103,176],[1,2,3,7,8,10,11,12,13,14,15,16,31,32,
34,36,37,41,42,43,45,46,48,88,91,92,96,102,103,105,177],[1,2,3,7,8,9,11,13,14,
16,30,31,33,35,40,41,45,48,87,95,99,104,105,178],[1,2,3,8,9,11,13,15,16,30,33,
40,45,46,95,101,179],[1,2,3,8,9,11,13,16,30,33,40,45,47,95,106,180],[1,2,3,9,
11,13,14,16,29,33,39,40,47,48,100,104,106,181],[1,2,3,8,9,10,11,12,13,14,15,
16,30,33,34,37,38,40,41,42,43,45,49,91,93,95,97,107,182],[1,2,3,8,9,11,13,16,
30,33,40,45,50,95,109,183],[1,2,3,8,9,10,11,12,13,14,15,32,33,34,37,38,41,43,
46,48,49,89,93,94,96,102,104,108,184],[1,2,3,7,8,10,11,12,13,14,15,30,31,34,
35,36,38,41,43,46,48,49,90,92,97,99,101,102,108,185],[1,2,3,9,10,11,12,13,16,
34,39,40,42,44,45,47,50,91,109,110,111,112,186],[1,2,3,7,8,10,11,13,14,15,16,
31,32,35,36,37,38,45,46,48,49,89,90,98,103,105,107,108,187],[1,2,3,9,11,14,15,
16,39,40,44,45,47,49,50,107,109,110,188],[1,2,4,5,14,19,20,51,113,189],[1,2,4,
5,15,19,20,51,113,190],[1,3,6,16,24,52,115,191],[1,2,4,5,7,25,26,51,68,69,117,
192],[1,2,4,5,7,25,51,61,63,69,193],[1,2,4,5,6,7,26,54,61,64,68,194],[1,2,4,5,
6,7,25,54,63,64,69,195],[1,2,5,6,7,26,53,63,64,68,196],[1,2,4,5,6,8,25,54,62,
65,70,197],[1,2,3,4,5,11,19,20,21,23,25,26,51,76,77,113,114,117,198],[1,2,3,4,
5,13,21,23,25,26,51,75,78,114,117,199],[1,2,3,4,5,13,19,20,22,27,51,79,113,
119,200],[1,2,4,5,8,19,20,25,51,74,113,118,201],[1,2,3,4,5,11,19,21,23,25,51,
76,114,118,202],[1,3,4,5,12,21,22,23,27,51,73,114,119,203],[1,2,3,4,5,6,13,20,
21,22,24,25,27,54,75,79,116,120,121,204],[1,2,4,5,14,25,26,51,80,82,117,205],[
1,2,4,5,15,25,26,51,81,83,117,206],[1,2,4,5,8,19,25,26,51,70,74,117,118,207],[
1,2,3,4,5,10,22,25,26,27,51,71,72,117,119,208],[1,2,3,7,11,13,17,31,57,58,60,
125,129,130,209],[1,2,3,11,14,17,48,57,58,60,126,130,210],[1,2,3,11,16,17,45,
57,58,60,127,130,211],[1,3,4,21,28,84,133,212],[1,3,5,27,28,84,131,213],[1,2,
3,5,7,9,11,13,31,33,63,66,87,214],[1,2,3,6,7,8,10,11,12,13,31,32,34,64,65,67,
88,215],[1,2,3,4,7,9,11,13,25,31,33,61,69,87,146,216],[1,2,3,4,7,8,10,11,12,
13,25,31,32,34,61,70,88,146,217],[1,2,3,5,7,8,10,11,12,13,26,31,32,34,62,68,
88,145,218],[1,2,3,5,8,10,11,26,27,30,32,62,71,86,145,147,219],[1,2,3,4,7,8,
10,11,13,14,15,19,21,25,31,32,35,36,37,38,49,61,76,98,135,136,146,220],[1,2,3,
4,7,8,11,13,14,19,25,30,31,35,41,48,61,74,99,135,146,221],[1,2,3,5,8,10,11,12,
13,14,22,26,32,34,37,41,48,62,72,96,138,145,222],[1,2,3,5,7,8,10,11,13,14,15,
20,23,26,31,32,35,36,37,38,49,62,77,98,134,137,145,223],[1,2,3,5,8,10,11,12,
13,14,15,22,23,27,30,34,38,41,49,62,73,97,137,138,147,224],[1,2,3,4,7,10,11,
12,13,15,21,25,31,34,36,43,46,61,75,92,136,146,225],[1,2,3,5,8,9,10,11,13,15,
23,26,32,33,38,43,46,62,78,94,137,145,226],[1,2,3,5,7,8,11,13,14,20,22,27,30,
31,35,41,48,62,79,99,134,138,147,227],[1,2,3,5,9,11,13,16,20,22,27,29,33,39,
40,47,66,79,100,142,143,148,228],[1,2,3,4,7,11,13,14,15,25,31,46,49,61,82,90,
146,229],[1,2,3,5,8,10,11,14,15,26,32,48,49,62,83,89,145,230],[1,2,3,4,7,11,
13,14,16,25,31,45,48,61,80,105,146,231],[1,2,3,5,8,10,11,15,16,26,32,45,46,62,
81,103,145,232],[1,3,5,12,16,22,23,27,42,44,50,73,112,163,233],[1,2,3,4,7,8,
11,13,14,19,21,25,30,31,35,41,48,69,70,74,75,76,80,82,99,149,151,153,156,158,
160,161,234],[1,2,3,5,7,10,11,12,13,15,20,22,23,26,27,31,34,36,43,46,68,71,72,
73,77,78,79,81,83,92,150,152,154,155,157,159,162,235],[1,3,17,18,58,59,164,
236],[1,2,17,18,57,60,164,237],[1,2,4,5,6,19,20,25,51,53,54,113,118,120,165,
238],[1,3,4,5,6,21,22,24,27,51,53,54,116,119,121,122,165,239],[1,3,5,6,24,27,
53,55,122,123,166,240],[1,3,5,6,24,27,53,56,122,124,167,241],[1,3,5,6,24,27,
52,53,115,122,168,242],[1,3,9,28,29,243],[1,2,4,7,17,19,57,61,244],[1,2,5,8,
17,20,57,62,245],[1,3,5,9,18,23,59,66,246],[1,3,6,12,18,24,59,67,247],[1,2,4,
7,17,60,61,85,125,248],[1,2,4,14,17,25,57,82,85,126,170,249],[1,2,3,4,11,17,
19,21,25,57,58,60,76,85,130,169,170,171,250],[1,2,4,14,17,25,57,80,85,126,170,
251],[1,4,5,6,28,54,131,132,133,252],[1,2,3,8,9,10,11,13,15,16,29,30,32,33,38,
39,40,43,44,45,46,47,86,94,95,100,101,103,110,172,176,179,253],[1,2,3,7,8,9,
11,13,14,16,29,30,31,33,35,39,40,41,44,45,47,48,87,95,99,100,104,105,106,110,
172,175,178,180,181,254],[1,2,3,8,9,10,11,12,13,14,15,16,29,30,33,34,37,38,39,
40,41,42,43,44,45,47,49,50,91,93,95,97,100,107,109,110,111,112,172,182,183,
186,188,255],[1,2,3,7,8,9,10,11,12,13,14,15,16,30,31,32,33,34,35,36,37,38,40,
41,42,43,45,46,48,49,86,87,88,89,90,91,92,93,94,95,96,97,98,99,101,102,103,
104,105,107,108,173,174,176,177,178,182,184,185,187,256],[1,2,3,8,9,10,11,12,
13,14,15,16,30,33,34,37,38,40,41,42,43,45,46,47,49,91,93,95,97,101,106,107,
179,180,182,257],[1,2,3,8,9,10,11,13,15,16,30,32,33,38,40,43,45,46,47,50,86,
94,95,101,103,106,109,176,180,183,258],[1,2,3,7,8,9,11,13,14,15,16,30,31,33,
35,40,41,45,46,48,50,87,95,99,101,104,105,109,178,179,183,259],[1,2,3,4,5,7,
11,13,19,20,21,23,25,26,31,51,68,69,75,76,77,78,113,114,117,149,150,192,198,
199,260],[1,2,3,4,5,6,7,10,15,21,22,24,26,36,54,61,64,68,72,81,116,136,140,
154,194,261],[1,2,4,5,7,8,14,19,20,25,35,51,61,63,69,74,80,113,135,139,153,
193,262],[1,2,3,4,5,6,8,13,14,21,22,24,25,41,54,62,65,70,75,80,116,138,144,
156,197,263],[1,2,3,4,5,8,11,19,20,21,23,25,26,30,51,70,74,76,77,113,114,117,
118,151,198,201,202,207,264],[1,2,3,4,5,10,11,12,13,19,20,21,22,23,25,26,27,
34,51,71,72,73,76,77,79,113,114,117,119,152,198,200,203,208,265],[1,2,3,4,5,
11,14,15,19,20,21,23,25,26,49,51,76,77,113,114,117,189,190,198,266],[1,2,3,4,
5,11,15,19,20,21,23,25,26,46,51,76,77,113,114,117,190,198,267],[1,2,3,4,5,11,
15,19,20,21,23,25,26,46,51,76,77,81,83,113,114,117,162,198,206,268],[1,2,3,4,
5,11,14,19,20,21,23,25,26,48,51,76,77,80,82,113,114,117,161,198,205,269],[1,3,
6,16,24,44,52,115,191,270],[1,2,3,4,5,7,11,13,19,21,25,31,51,61,63,69,75,76,
118,146,149,193,271],[1,2,3,4,5,6,7,11,13,20,23,25,26,31,54,61,64,68,77,78,
120,146,150,194,272],[1,2,3,4,5,6,8,11,19,21,25,27,30,54,62,65,70,74,76,121,
147,151,197,273],[1,2,3,4,5,8,13,15,19,20,22,25,27,38,51,74,79,113,118,119,
190,200,201,274],[1,2,3,4,5,8,13,14,19,20,22,25,27,41,51,74,79,113,118,119,
189,200,201,275],[1,2,3,4,5,6,7,10,15,21,26,27,36,54,61,64,68,71,83,121,136,
157,194,276],[1,2,3,5,6,7,10,15,24,26,27,36,53,63,64,68,71,83,122,140,157,196,
277],[1,2,4,5,7,8,14,19,25,35,51,61,63,69,70,82,118,135,158,193,278],[1,2,4,5,
6,7,8,14,20,25,35,54,62,65,69,70,82,120,134,158,197,279],[1,2,4,5,6,7,8,14,20,
25,35,54,63,64,69,70,82,120,139,158,195,280],[1,2,3,4,5,10,13,15,21,22,23,25,
26,27,43,51,71,72,75,78,81,83,114,117,119,155,159,199,206,208,281],[1,2,3,4,5,
8,13,14,19,21,23,25,26,41,51,70,74,75,78,80,82,114,117,118,156,160,199,205,
207,282],[1,2,3,4,5,7,10,15,22,25,26,27,36,51,68,69,71,72,81,83,117,119,154,
157,192,206,208,283],[1,2,4,5,7,8,14,19,25,26,35,51,68,69,70,74,80,82,117,118,
153,158,192,205,207,284],[1,2,3,8,10,11,18,30,32,86,285],[1,2,3,7,11,13,14,16,
17,31,45,48,57,58,60,105,125,126,127,129,130,209,210,211,286],[1,4,5,6,51,52,
53,54,55,56,165,166,167,168,287],[1,2,3,4,7,8,9,10,11,12,13,14,15,19,21,25,31,
32,33,34,35,36,37,38,43,46,49,61,69,75,76,87,88,90,92,93,94,98,135,136,146,
149,174,216,220,225,288],[1,2,3,4,7,8,10,11,12,13,14,15,19,21,25,30,31,32,34,
35,36,37,38,41,48,49,61,70,74,76,86,88,89,96,97,98,99,135,136,146,151,173,217,
220,221,289],[1,2,3,5,7,8,9,10,11,12,13,14,15,20,23,26,31,32,33,34,35,36,37,
38,43,46,49,62,68,77,78,87,88,90,92,93,94,98,134,137,145,150,174,218,223,226,
290],[1,2,3,5,7,8,10,11,12,13,14,15,20,22,23,26,27,30,31,32,34,35,36,37,38,41,
48,49,62,71,72,73,77,79,86,88,89,96,97,98,99,134,137,138,145,147,152,173,219,
222,223,224,227,291],[1,2,3,5,7,9,11,13,16,22,29,31,33,39,40,47,63,66,87,100,
106,143,175,214,292],[1,2,3,5,7,8,9,11,13,14,16,20,30,31,33,35,40,41,45,48,63,
66,87,95,99,104,105,139,142,178,214,293],[1,2,3,6,7,8,10,11,12,13,14,15,16,24,
31,32,34,36,37,41,42,43,45,46,48,64,65,67,88,91,92,96,102,103,105,140,141,144,
177,215,294],[1,2,3,5,8,9,11,13,16,27,29,30,33,39,40,44,45,47,62,66,95,100,
110,147,148,163,172,295],[1,2,3,5,7,8,10,11,12,13,14,15,26,27,30,31,32,34,35,
36,37,38,41,48,49,62,68,71,83,86,88,89,96,97,98,99,145,147,157,173,218,219,
230,296],[1,2,3,4,7,8,9,10,11,12,13,14,15,25,31,32,33,34,35,36,37,38,43,46,49,
61,69,70,82,87,88,90,92,93,94,98,146,158,174,216,217,229,297],[1,2,3,5,7,8,10,
11,13,14,15,16,20,23,26,31,32,35,36,37,38,45,46,48,49,62,77,81,83,89,90,98,
103,105,107,108,134,137,145,162,187,223,230,232,298],[1,2,3,4,7,8,10,11,13,14,
15,16,19,21,25,31,32,35,36,37,38,45,46,48,49,61,76,80,82,89,90,98,103,105,107,
108,135,136,146,161,187,220,229,231,299],[1,2,3,5,8,9,10,11,12,13,14,15,22,23,
26,32,33,34,37,38,41,43,46,48,49,62,72,78,83,89,93,94,96,102,104,108,137,138,
145,159,184,222,226,230,300],[1,2,3,4,7,8,10,11,12,13,14,15,19,21,25,30,31,34,
35,36,38,41,43,46,48,49,61,74,75,82,90,92,97,99,101,102,108,135,136,146,160,
185,221,225,229,301],[1,2,3,4,7,8,10,11,12,13,14,15,16,21,25,31,32,34,36,37,
41,42,43,45,46,48,61,70,75,80,88,91,92,96,102,103,105,136,146,156,177,217,225,
231,302],[1,2,3,5,7,8,10,11,12,13,14,15,16,22,26,31,32,34,36,37,41,42,43,45,
46,48,62,68,72,81,88,91,92,96,102,103,105,138,145,154,177,218,222,232,303],[1,
2,3,5,8,9,10,11,13,15,16,23,26,27,30,32,33,38,40,43,45,46,62,71,78,81,86,94,
95,101,103,137,145,147,155,176,219,226,232,304],[1,2,3,4,7,8,9,11,13,14,16,19,
25,30,31,33,35,40,41,45,48,61,69,74,80,87,95,99,104,105,135,146,153,178,216,
221,231,305],[1,2,3,5,7,9,11,13,16,27,29,31,33,39,40,47,63,66,87,100,106,148,
175,214,306],[1,2,3,11,17,18,57,58,59,60,130,164,236,237,307],[1,3,16,17,18,
58,59,127,128,164,236,308],[1,3,16,17,18,58,59,127,164,236,309],[1,2,4,5,6,7,
25,26,51,53,54,61,63,64,68,69,117,165,192,193,194,195,196,310],[1,2,4,5,6,8,
19,20,25,51,53,54,74,113,118,120,165,201,238,311],[1,2,3,4,5,6,13,19,20,21,22,
24,25,27,51,53,54,75,79,113,116,118,119,120,121,122,165,200,204,238,239,312],[
1,2,4,5,6,14,19,20,25,51,53,54,82,113,118,120,165,189,238,313],[1,2,4,7,8,14,
17,19,25,35,57,61,74,126,135,244,314],[1,2,3,5,8,13,14,17,20,22,27,41,57,62,
79,126,138,245,315],[1,2,3,5,9,11,16,18,20,23,26,40,59,66,77,128,142,246,
316],[1,2,3,5,8,10,11,17,20,23,26,32,57,58,60,62,77,130,145,245,317],[1,2,3,4,
7,11,13,17,19,21,25,31,57,58,60,61,76,130,146,244,318],[1,2,3,4,7,11,13,17,25,
31,57,58,60,61,85,125,129,130,146,170,209,248,319],[1,2,3,4,11,14,17,19,21,25,
48,57,58,60,76,80,82,85,126,130,161,169,170,171,210,249,250,251,320],[1,3,4,5,
6,21,27,28,54,84,121,131,132,133,212,213,252,321],[1,2,3,7,8,9,10,11,12,13,14,
15,16,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,253,254,255,256,257,258,259,322],[1,2,3,4,5,7,9,11,13,25,31,33,51,61,63,
66,69,87,146,193,214,216,323],[1,2,3,4,5,6,7,8,10,11,12,13,25,26,31,32,34,54,
61,62,64,65,67,68,70,88,145,146,194,197,215,217,218,324],[1,2,3,4,5,7,11,13,
14,15,19,20,21,23,25,26,31,46,49,51,68,69,75,76,77,78,90,113,114,117,149,150,
189,190,192,198,199,260,266,267,325],[1,2,3,4,5,8,10,11,12,13,14,15,19,20,21,
22,23,25,26,27,30,34,38,41,49,51,70,71,72,73,74,76,77,79,97,113,114,117,118,
119,151,152,189,190,198,200,201,202,203,207,208,264,265,266,274,275,326],[1,2,
3,4,5,11,14,15,19,20,21,23,25,26,46,48,49,51,76,77,80,81,82,83,108,113,114,
117,161,162,189,190,198,205,206,266,268,269,327],[1,2,3,4,5,7,8,11,13,14,19,
20,21,23,25,26,30,31,35,41,48,51,68,69,70,74,75,76,77,78,80,82,99,113,114,117,
118,149,150,151,153,156,158,160,161,192,198,199,201,202,205,207,234,260,264,
269,282,284,328],[1,2,3,4,5,7,10,11,12,13,15,19,20,21,22,23,25,26,27,31,34,36,
43,46,51,68,69,71,72,73,75,76,77,78,79,81,83,92,113,114,117,119,149,150,152,
154,155,157,159,162,192,198,199,200,203,206,208,235,260,265,268,281,283,329],[
1,2,3,4,5,10,11,12,13,14,15,19,20,21,22,23,25,26,27,34,46,48,51,71,72,73,76,
77,79,80,82,102,113,114,117,119,152,161,190,198,200,203,205,208,265,267,269,
330],[1,2,3,4,5,8,11,15,19,20,21,23,25,26,30,46,51,70,74,76,77,81,83,101,113,
114,117,118,151,162,190,198,201,202,206,207,264,267,268,331],[1,2,3,4,5,7,8,
11,13,14,19,20,21,25,30,31,35,41,48,51,61,63,69,70,74,75,76,80,82,99,113,118,
135,139,146,149,151,153,156,158,160,161,193,201,221,234,262,271,278,332],[1,2,
3,4,5,6,7,10,11,12,13,15,20,21,22,23,24,25,26,27,31,34,36,43,46,54,61,64,68,
71,72,73,75,77,78,79,81,83,92,116,120,121,136,140,146,150,152,154,155,157,159,
162,194,204,225,235,261,272,276,333],[1,2,3,4,5,6,7,8,11,13,14,19,20,21,22,24,
25,27,30,31,35,41,48,54,62,65,69,70,74,75,76,79,80,82,99,116,120,121,134,138,
144,147,149,151,153,156,158,160,161,197,204,227,234,263,273,279,334],[1,2,3,8,
9,10,11,13,15,16,18,30,32,33,38,40,43,45,46,59,86,94,95,101,103,176,285,335],[
1,3,4,5,6,21,22,24,27,51,52,53,54,55,56,115,116,119,121,122,123,124,165,166,
167,168,239,240,241,242,287,336],[1,2,5,7,8,14,20,28,35,62,63,131,134,139,
337],[1,3,5,9,16,22,28,39,66,131,143,338],[1,3,5,9,27,28,29,66,131,148,243,
339],[1,2,4,5,7,17,19,25,51,57,61,63,69,85,118,170,193,244,340],[1,2,4,5,6,8,
17,20,25,54,57,62,65,70,85,120,170,197,245,341],[1,2,3,5,8,9,10,11,12,13,14,
15,16,22,23,27,29,30,33,34,37,38,39,40,41,42,43,44,45,47,49,50,62,66,73,91,93,
95,97,100,107,109,110,111,112,137,138,147,148,163,172,182,183,186,188,224,233,
255,295,342],[1,2,3,5,8,9,10,11,13,15,16,26,27,29,30,32,33,38,39,40,43,44,45,
46,47,62,66,71,86,94,95,100,101,103,110,145,147,148,163,172,176,179,219,253,
295,343],[1,2,3,5,7,8,9,11,13,14,16,20,22,27,29,30,31,33,35,39,40,41,44,45,47,
48,62,66,79,87,95,99,100,104,105,106,110,134,138,142,143,147,148,163,172,175,
178,180,181,227,228,254,295,344],[1,2,3,5,7,8,9,11,13,14,16,20,22,27,29,30,31,
33,35,39,40,41,44,45,47,48,63,66,79,87,95,99,100,104,105,106,110,139,142,143,
148,172,175,178,180,181,214,228,254,292,293,306,345],[1,2,3,5,7,8,9,10,11,12,
13,14,15,16,20,22,23,26,27,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,48,49,
62,68,71,72,73,77,78,79,81,83,86,87,88,89,90,91,92,93,94,95,96,97,98,99,101,
102,103,104,105,107,108,134,137,138,145,147,150,152,154,155,157,159,162,173,
174,176,177,178,182,184,185,187,218,219,222,223,224,226,227,230,232,235,256,
290,291,296,298,300,303,304,346],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,19,21,25,
30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,48,49,61,69,70,74,75,76,80,82,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,107,108,135,136,
146,149,151,153,156,158,160,161,173,174,176,177,178,182,184,185,187,216,217,
220,221,225,229,231,234,256,288,289,297,299,301,302,305,347],[1,3,16,17,18,50,
58,59,127,128,164,236,308,348],[1,3,16,17,18,50,58,59,127,128,164,236,308,
349],[1,2,3,11,16,17,18,45,57,58,59,60,127,128,130,164,211,236,237,307,308,
309,350],[1,2,3,4,5,6,7,11,13,19,20,21,23,25,26,31,51,53,54,61,63,64,68,69,75,
76,77,78,113,114,117,118,120,146,149,150,165,192,193,194,195,196,198,199,238,
260,271,272,310,351],[1,2,4,5,6,7,8,14,19,20,25,26,35,51,53,54,61,63,64,68,69,
70,74,80,82,113,117,118,120,135,139,153,158,165,192,193,194,195,196,205,207,
238,262,278,280,284,310,352],[1,2,3,4,5,6,7,10,15,21,22,24,25,26,27,36,51,53,
54,61,63,64,68,69,71,72,81,83,116,117,119,121,122,136,140,154,157,165,192,193,
194,195,196,206,208,239,261,276,277,283,310,353],[1,2,3,4,5,6,8,13,14,19,20,
21,22,24,25,27,41,51,53,54,74,75,79,82,113,116,118,119,120,121,122,160,165,
189,200,201,204,238,239,275,311,312,313,354],[1,3,5,6,16,24,27,44,52,53,115,
122,163,168,191,242,270,355],[1,2,3,4,7,9,11,13,17,19,21,25,31,33,57,58,60,61,
69,75,76,87,125,129,130,146,149,209,216,244,318,356],[1,2,3,5,7,8,10,11,12,13,
17,20,23,26,31,32,34,57,58,60,62,68,77,78,88,125,129,130,145,150,209,218,245,
317,357],[1,2,3,4,7,8,11,13,14,17,19,21,25,30,31,35,41,48,57,58,60,61,70,74,
76,99,126,130,135,146,151,210,221,244,314,318,358],[1,2,3,5,8,10,11,12,13,14,
17,20,22,23,26,27,32,34,37,41,48,57,58,60,62,71,72,73,77,79,96,126,130,138,
145,152,210,222,245,315,317,359],[1,2,3,4,7,11,13,14,16,17,19,21,25,31,45,48,
57,58,60,61,76,80,82,105,127,130,146,161,211,231,244,318,360],[1,2,3,5,8,10,
11,15,16,17,20,23,26,32,45,46,57,58,60,62,77,81,83,103,127,130,145,162,211,
232,245,317,361],[1,2,3,4,7,11,13,14,16,17,25,31,45,48,57,58,60,61,80,85,105,
125,126,127,129,130,146,170,209,210,211,231,248,251,286,319,362],[1,2,3,4,5,7,
8,9,11,13,14,16,19,20,25,30,31,33,35,40,41,45,48,51,61,63,66,69,74,80,87,95,
99,104,105,113,135,139,142,146,153,178,193,214,216,221,231,262,293,305,323,
363],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,21,22,24,25,26,31,32,34,36,37,41,
42,43,45,46,48,54,61,62,64,65,67,68,70,72,75,80,81,88,91,92,96,102,103,105,
116,136,138,140,141,144,145,146,154,156,177,194,197,215,217,218,222,225,231,
232,261,263,294,302,303,324,364],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,19,21,25,
31,32,33,34,35,36,37,38,43,46,49,51,61,63,66,69,70,75,76,82,87,88,90,92,93,94,
98,118,135,136,146,149,158,174,193,214,216,217,220,225,229,271,278,288,297,
323,365],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,19,21,25,26,27,30,31,32,34,35,36,
37,38,41,48,49,54,61,62,64,65,67,68,70,71,74,76,83,86,88,89,96,97,98,99,121,
135,136,145,146,147,151,157,173,194,197,215,217,218,219,220,221,230,273,276,
289,296,324,366],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,20,23,25,26,31,32,33,34,
35,36,37,38,43,46,49,54,61,62,64,65,67,68,69,70,77,78,82,87,88,90,92,93,94,98,
120,134,137,145,146,150,158,174,194,197,215,216,217,218,223,226,229,272,279,
290,297,324,367],[1,2,3,4,5,7,9,11,13,16,22,25,27,29,31,33,39,40,47,51,61,63,
66,69,87,100,106,119,143,146,148,175,193,214,216,292,306,323,368],[1,2,3,4,5,
7,8,10,11,12,13,14,15,19,20,21,22,23,25,26,27,30,31,34,35,36,38,41,43,46,48,
49,51,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,90,92,97,99,101,102,108,
113,114,117,118,119,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
185,189,190,192,198,199,200,201,202,203,205,206,207,208,234,235,260,264,265,
266,267,268,269,274,275,281,282,283,284,325,326,327,328,329,330,331,369],[1,2,
4,7,17,18,19,57,60,61,85,125,164,169,237,244,248,370],[1,2,3,8,9,10,11,13,15,
16,18,30,32,33,38,40,43,45,46,47,50,59,86,94,95,101,103,106,109,128,176,180,
183,258,285,335,371],[1,2,4,5,6,8,19,20,25,51,52,53,54,55,56,65,74,113,118,
120,165,166,167,168,201,238,287,311,372],[1,3,5,9,12,16,22,23,27,28,39,42,50,
66,73,84,111,131,143,213,338,373],[1,2,4,5,7,8,14,17,19,20,35,51,57,61,62,113,
134,135,189,244,245,374],[1,3,6,12,16,18,24,42,52,59,67,115,141,191,247,375],[
1,2,3,4,5,7,11,13,17,19,21,23,25,31,51,57,58,60,61,63,69,75,76,85,114,118,130,
146,149,169,170,171,193,202,244,250,271,318,340,376],[1,2,4,5,7,8,14,17,19,20,
25,35,51,57,61,63,69,74,80,85,113,118,126,135,139,153,170,193,201,244,251,262,
314,340,377],[1,2,3,4,5,6,8,13,14,17,20,21,22,24,25,27,41,54,57,62,65,70,75,
79,80,85,116,120,121,126,138,144,156,170,197,204,245,251,263,315,341,378],[1,
2,4,5,7,8,14,17,19,25,26,35,51,57,61,63,69,70,74,82,85,117,118,126,135,158,
170,193,207,244,249,278,314,340,379],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,20,
22,23,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
62,66,71,72,73,77,79,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,134,137,138,142,143,145,147,148,152,
163,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,219,
222,223,224,227,228,233,253,254,255,256,257,258,259,291,295,322,342,343,344,
380],[1,2,3,11,16,17,18,45,50,57,58,59,60,109,127,128,130,164,211,236,237,307,
308,309,348,349,350,381],[1,2,3,4,5,6,7,10,11,12,13,15,19,20,21,22,23,24,25,
26,27,31,34,36,43,46,51,53,54,61,63,64,68,69,71,72,73,75,76,77,78,79,81,83,92,
113,114,116,117,118,119,120,121,122,136,140,146,149,150,152,154,155,157,159,
162,165,192,193,194,195,196,198,199,200,203,204,206,208,225,235,238,239,260,
261,265,268,271,272,276,277,281,283,310,312,329,333,351,353,382],[1,2,3,4,5,6,
7,8,11,13,14,19,20,21,23,25,26,30,31,35,41,48,51,53,54,61,63,64,68,69,70,74,
75,76,77,78,80,82,99,113,114,117,118,120,135,139,146,149,150,151,153,156,158,
160,161,165,192,193,194,195,196,198,199,201,202,205,207,221,234,238,260,262,
264,269,271,272,278,280,282,284,310,311,328,332,351,352,383],[1,2,3,4,5,6,7,
11,13,14,15,19,20,21,23,25,26,31,46,49,51,53,54,61,63,64,68,69,75,76,77,78,82,
90,113,114,117,118,120,146,149,150,165,189,190,192,193,194,195,196,198,199,
229,238,260,266,267,271,272,310,313,325,351,384],[1,2,3,4,7,8,9,11,13,14,16,
17,19,21,25,30,31,33,35,40,41,45,48,57,58,60,61,69,70,74,75,76,80,82,87,95,99,
104,105,125,126,127,129,130,135,146,149,151,153,156,158,160,161,178,209,210,
211,216,221,231,234,244,286,305,314,318,356,358,360,385],[1,2,3,5,7,8,10,11,
12,13,14,15,16,17,20,22,23,26,27,31,32,34,36,37,41,42,43,45,46,48,57,58,60,62,
68,71,72,73,77,78,79,81,83,88,91,92,96,102,103,105,125,126,127,129,130,138,
145,150,152,154,155,157,159,162,177,209,210,211,218,222,232,235,245,286,303,
315,317,357,359,361,386],[1,3,6,9,24,28,29,55,84,123,243,387],[1,3,6,9,24,28,
29,56,84,124,243,388],[1,2,4,5,6,7,8,14,20,25,28,35,54,62,63,64,65,69,70,82,
120,131,132,133,134,139,158,195,197,252,279,280,337,389],[1,2,3,4,5,7,8,9,11,
13,14,16,19,20,22,25,27,29,30,31,33,35,39,40,41,44,45,47,48,51,61,63,66,69,74,
79,80,87,95,99,100,104,105,106,110,113,119,135,139,142,143,146,148,153,172,
175,178,180,181,193,200,214,216,221,228,231,254,262,292,293,305,306,323,345,
363,368,390],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,19,20,21,25,30,31,32,33,34,
35,36,37,38,40,41,42,43,45,46,48,49,51,61,63,66,69,70,74,75,76,80,82,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,107,108,113,118,135,136,
139,142,146,149,151,153,156,158,160,161,173,174,176,177,178,182,184,185,187,
193,201,214,216,217,220,221,225,229,231,234,256,262,271,278,288,289,293,297,
299,301,302,305,323,332,347,363,365,391],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,48,
49,54,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,107,108,116,120,121,134,
135,136,137,138,140,141,144,145,146,147,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,173,174,176,177,178,182,184,185,187,194,197,204,215,216,
217,218,219,220,221,222,223,224,225,226,227,229,230,231,232,234,235,256,261,
263,272,273,276,279,288,289,290,291,294,296,297,298,299,300,301,302,303,304,
305,324,333,334,346,347,364,366,367,392],[1,2,3,4,5,7,8,9,11,13,14,15,16,19,
20,25,30,31,33,35,40,41,45,46,48,50,51,61,63,66,69,74,80,87,95,99,101,104,105,
109,113,135,139,142,146,153,178,179,183,190,193,214,216,221,231,259,262,293,
305,323,363,393],[1,2,3,4,7,11,13,17,18,19,21,25,31,57,58,59,60,61,76,85,125,
129,130,146,164,169,170,171,209,236,237,244,248,250,307,318,319,370,394],[1,2,
3,4,5,6,8,13,14,19,20,21,22,24,25,27,41,51,52,53,54,55,56,65,74,75,79,82,113,
115,116,118,119,120,121,122,123,124,144,160,165,166,167,168,189,200,201,204,
238,239,240,241,242,275,287,311,312,313,336,354,372,395],[1,2,3,4,5,7,8,10,11,
13,14,15,17,19,20,21,23,25,26,31,32,35,36,37,38,49,51,57,58,60,61,62,76,77,98,
113,114,117,130,134,135,136,137,145,146,189,190,198,220,223,244,245,266,317,
318,374,396],[1,2,3,4,5,7,9,11,13,17,19,21,25,31,33,51,57,58,60,61,63,66,69,
75,76,85,87,118,125,129,130,146,149,170,193,209,214,216,244,248,271,318,319,
323,340,356,397],[1,2,3,4,5,6,7,8,10,11,12,13,17,20,23,25,26,31,32,34,54,57,
58,60,61,62,64,65,67,68,70,77,78,85,88,120,125,129,130,145,146,150,170,194,
197,209,215,217,218,245,248,272,317,319,324,341,357,398],[1,2,3,4,5,7,8,11,13,
14,17,19,20,22,25,27,30,31,35,41,48,51,57,61,62,74,79,99,113,118,119,126,134,
135,138,146,147,189,200,201,221,227,244,245,275,314,315,374,399],[1,2,3,4,5,7,
8,11,13,14,17,19,20,21,23,25,26,30,31,35,41,48,51,57,58,60,61,63,69,70,74,75,
76,77,80,82,85,99,113,114,117,118,126,130,135,139,146,149,151,153,156,158,160,
161,169,170,171,193,198,201,202,207,210,221,234,244,249,250,251,262,264,271,
278,314,318,320,332,340,358,376,377,379,400],[1,3,6,12,16,18,24,42,44,50,52,
59,67,112,115,128,141,191,247,270,375,401],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,
19,20,21,22,23,24,25,26,27,30,31,34,35,36,38,41,43,46,48,49,51,53,54,61,63,64,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,90,92,97,99,101,102,108,113,
114,116,117,118,119,120,121,122,135,136,139,140,146,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,165,185,189,190,192,193,194,195,196,198,199,
200,201,202,203,204,205,206,207,208,221,225,229,234,235,238,239,260,261,262,
264,265,266,267,268,269,271,272,274,275,276,277,278,280,281,282,283,284,301,
310,311,312,313,325,326,327,328,329,330,331,332,333,351,352,353,354,369,382,
383,384,402],[1,2,3,5,8,9,10,11,13,15,16,18,23,26,27,29,30,32,33,38,39,40,43,
44,45,46,47,59,62,66,71,78,81,86,94,95,100,101,103,110,137,145,147,148,155,
163,172,176,179,219,226,232,246,253,285,295,304,335,343,403],[1,2,4,5,6,7,8,
14,17,19,20,25,35,51,53,54,57,61,62,63,65,69,70,82,85,113,118,120,134,135,158,
165,170,189,193,197,238,244,245,278,279,313,340,341,374,404],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,19,20,21,22,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,61,63,66,69,70,74,75,76,79,80,82,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,118,119,135,136,139,142,143,146,148,149,151,153,156,158,160,161,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,193,200,
201,214,216,217,220,221,225,228,229,231,234,253,254,255,256,257,258,259,262,
271,274,278,288,289,292,293,297,299,301,302,305,306,322,323,332,345,347,363,
365,368,390,391,393,405],[1,2,3,4,7,11,13,14,16,17,18,19,21,25,31,45,48,57,58,
59,60,61,76,80,82,85,105,125,126,127,128,129,130,146,161,164,169,170,171,209,
210,211,231,236,237,244,248,249,250,251,286,307,308,309,318,319,320,350,360,
362,370,394,406],[1,2,3,5,7,8,9,11,13,14,16,20,22,27,28,29,30,31,33,35,39,40,
41,44,45,47,48,62,63,66,79,87,95,99,100,104,105,106,110,131,134,138,139,142,
143,147,148,163,172,175,178,180,181,214,227,228,243,254,292,293,295,306,337,
338,339,344,345,407],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,17,19,20,21,23,25,26,
31,32,33,34,35,36,37,38,43,46,49,51,57,58,60,61,62,68,69,75,76,77,78,87,88,90,
92,93,94,98,113,114,117,125,129,130,134,135,136,137,145,146,149,150,174,189,
190,192,198,199,209,216,218,220,223,225,226,244,245,260,266,267,288,290,317,
318,325,356,357,374,396,408],[1,2,3,4,5,7,8,10,11,13,14,15,16,17,19,20,21,23,
25,26,31,32,35,36,37,38,45,46,48,49,51,57,58,60,61,62,76,77,80,81,82,83,89,90,
98,103,105,107,108,113,114,117,127,130,134,135,136,137,145,146,161,162,187,
189,190,198,205,206,211,220,223,229,230,231,232,244,245,266,268,269,298,299,
317,318,327,360,361,374,396,409],[1,2,3,4,5,7,8,10,11,12,13,14,15,17,19,20,21,
22,23,25,26,27,30,31,32,34,35,36,37,38,41,48,49,51,57,58,60,61,62,70,71,72,73,
74,76,77,79,86,88,89,96,97,98,99,113,114,117,118,119,126,130,134,135,136,137,
138,145,146,147,151,152,173,189,190,198,200,201,202,203,207,208,210,217,219,
220,221,222,223,224,227,244,245,264,265,266,274,275,289,291,314,315,317,318,
326,358,359,374,396,399,410],[1,2,3,4,5,7,8,9,11,13,14,16,17,19,20,21,25,30,
31,33,35,40,41,45,48,51,57,58,60,61,63,66,69,70,74,75,76,80,82,85,87,95,99,
104,105,113,118,125,126,127,129,130,135,139,142,146,149,151,153,156,158,160,
161,170,178,193,201,209,210,211,214,216,221,231,234,244,248,251,262,271,278,
286,293,305,314,318,319,323,332,340,356,358,360,362,363,377,385,397,411],[1,2,
3,4,5,6,7,8,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,31,32,34,36,37,41,
42,43,45,46,48,54,57,58,60,61,62,64,65,67,68,70,71,72,73,75,77,78,79,80,81,83,
85,88,91,92,96,102,103,105,116,120,121,125,126,127,129,130,136,138,140,141,
144,145,146,150,152,154,155,156,157,159,162,170,177,194,197,204,209,210,211,
215,217,218,222,225,231,232,235,245,248,251,261,263,272,276,286,294,302,303,
315,317,319,324,333,341,357,359,361,362,364,378,386,398,412],[1,3,5,6,9,24,27,
28,29,53,55,66,84,122,123,131,148,166,213,240,243,339,387,413],[1,3,5,6,9,24,
27,28,29,53,56,66,84,122,124,131,148,167,213,241,243,339,388,414],[1,2,3,5,7,
8,9,10,11,12,13,14,15,16,18,20,22,23,26,27,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,59,62,66,68,71,72,73,77,78,79,81,83,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,128,134,137,138,142,143,145,147,148,150,152,154,155,157,159,162,163,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,218,219,
222,223,224,226,227,228,230,232,233,235,246,253,254,255,256,257,258,259,285,
290,291,295,296,298,300,303,304,316,322,335,342,343,344,346,371,380,403,415],[
1,2,3,4,5,6,7,8,11,13,14,17,19,20,21,22,24,25,27,30,31,35,41,48,51,53,54,57,
61,62,63,65,69,70,74,75,76,79,80,82,85,99,113,116,118,119,120,121,122,126,134,
135,138,139,144,146,147,149,151,153,156,158,160,161,165,170,189,193,197,200,
201,204,221,227,234,238,239,244,245,251,262,263,271,273,275,278,279,311,312,
313,314,315,332,334,340,341,354,374,377,378,399,404,416],[1,2,4,5,7,8,14,17,
19,20,25,28,35,51,57,61,62,63,69,74,80,113,126,131,134,135,139,153,189,193,
244,245,262,314,337,374,417],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,25,26,27,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,48,49,51,57,58,
60,61,62,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,101,102,103,104,105,107,108,113,114,117,118,119,125,126,
127,129,130,134,135,136,137,138,145,146,147,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,173,174,176,177,178,182,184,185,187,189,190,192,198,
199,200,201,202,203,205,206,207,208,209,210,211,216,217,218,219,220,221,222,
223,224,225,226,227,229,230,231,232,234,235,244,245,256,260,264,265,266,267,
268,269,274,275,281,282,283,284,286,288,289,290,291,296,297,298,299,300,301,
302,303,304,305,314,315,317,318,325,326,327,328,329,330,331,346,347,356,357,
358,359,360,361,369,374,385,386,396,399,408,409,410,418],[1,2,3,4,5,7,9,11,13,
17,18,19,21,23,25,31,33,51,57,58,59,60,61,63,66,69,75,76,85,87,114,118,125,
129,130,146,149,164,169,170,171,193,202,209,214,216,236,237,244,246,248,250,
271,307,318,319,323,340,356,370,376,394,397,419],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,17,19,20,21,23,25,26,31,32,33,34,35,36,37,38,43,46,49,51,53,54,57,58,
60,61,62,63,64,65,66,67,68,69,70,75,76,77,78,82,85,87,88,90,92,93,94,98,113,
114,117,118,120,125,129,130,134,135,136,137,145,146,149,150,158,165,170,174,
189,190,192,193,194,195,196,197,198,199,209,214,215,216,217,218,220,223,225,
226,229,238,244,245,248,260,266,267,271,272,278,279,288,290,297,310,313,317,
318,319,323,324,325,340,341,351,356,357,365,367,374,384,396,397,398,404,408,
420],[1,2,3,4,5,7,8,11,13,14,17,19,20,21,22,25,27,28,30,31,35,41,48,51,57,58,
60,61,62,63,69,70,74,75,76,79,80,82,84,99,113,118,119,126,130,131,134,135,138,
139,146,147,149,151,153,156,158,160,161,189,193,200,201,210,213,221,227,234,
244,245,262,271,275,278,314,315,318,332,337,358,374,399,417,421],[1,2,3,4,5,7,
8,9,11,13,14,16,17,18,19,20,21,23,25,26,30,31,33,35,40,41,45,48,51,57,58,59,
60,61,63,66,69,70,74,75,76,77,80,82,85,87,95,99,104,105,113,114,117,118,125,
126,127,128,129,130,135,139,142,146,149,151,153,156,158,160,161,164,169,170,
171,178,193,198,201,202,207,209,210,211,214,216,221,231,234,236,237,244,246,
248,249,250,251,262,264,271,278,286,293,305,307,308,309,314,316,318,319,320,
323,332,340,350,356,358,360,362,363,370,376,377,379,385,394,397,400,406,411,
419,422],[1,2,4,5,6,7,8,14,17,19,20,25,26,28,35,51,53,54,57,61,62,63,64,65,68,
69,70,74,80,82,85,113,117,118,120,126,131,132,133,134,135,139,153,158,165,170,
189,192,193,194,195,196,197,205,207,238,244,245,249,252,262,278,279,280,284,
310,313,314,337,340,341,352,374,379,389,404,417,423],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,40,41,
42,43,45,46,48,49,51,53,54,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,101,
102,103,104,105,107,108,113,114,116,117,118,119,120,121,122,125,126,127,129,
130,134,135,136,137,138,139,140,141,142,144,145,146,147,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,165,170,173,174,176,177,178,182,184,185,
187,189,190,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,211,214,215,216,217,218,219,220,221,222,223,224,225,226,227,229,
230,231,232,234,235,238,239,244,245,248,251,256,260,261,262,263,264,265,266,
267,268,269,271,272,273,274,275,276,277,278,279,280,281,282,283,284,286,288,
289,290,291,293,294,296,297,298,299,300,301,302,303,304,305,310,311,312,313,
314,315,317,318,319,323,324,325,326,327,328,329,330,331,332,333,334,340,341,
346,347,351,352,353,354,356,357,358,359,360,361,362,363,364,365,366,367,369,
374,377,378,382,383,384,385,386,391,392,396,397,398,399,402,404,408,409,410,
411,412,416,418,420,424],[1,2,3,4,5,7,8,9,11,13,14,15,16,17,18,19,20,21,23,25,
26,30,31,33,35,40,41,45,46,48,50,51,57,58,59,60,61,63,66,69,70,74,75,76,77,80,
81,82,83,85,87,95,99,101,104,105,109,113,114,117,118,125,126,127,128,129,130,
135,139,142,146,149,151,153,156,158,160,161,162,164,169,170,171,178,179,183,
190,193,198,201,202,206,207,209,210,211,214,216,221,231,234,236,237,244,246,
248,249,250,251,259,262,264,267,268,271,278,286,293,305,307,308,309,314,316,
318,319,320,323,331,332,340,348,349,350,356,358,360,362,363,370,376,377,379,
381,385,393,394,397,400,406,411,419,422,425],[1,2,3,4,5,6,7,8,11,13,14,17,19,
20,21,22,23,24,25,26,27,28,30,31,35,41,48,51,53,54,57,58,60,61,62,63,64,65,68,
69,70,74,75,76,77,78,79,80,82,84,85,99,113,114,116,117,118,119,120,121,122,
126,130,131,132,133,134,135,138,139,144,146,147,149,150,151,153,156,158,160,
161,165,169,170,171,189,192,193,194,195,196,197,198,199,200,201,202,204,205,
207,210,212,213,221,227,234,238,239,244,245,249,250,251,252,260,262,263,264,
269,271,272,273,275,278,279,280,282,284,310,311,312,313,314,315,318,320,321,
328,332,334,337,340,341,351,352,354,358,374,376,377,378,379,383,389,399,400,
404,416,417,421,423,426],[1,2,3,4,5,7,8,9,11,13,14,16,17,19,20,22,25,27,28,29,
30,31,33,35,39,40,41,44,45,47,48,51,57,61,62,63,66,69,74,79,80,85,87,95,99,
100,104,105,106,110,113,118,119,126,131,134,135,138,139,142,143,146,147,148,
153,163,170,172,175,178,180,181,189,193,200,201,214,216,221,227,228,231,243,
244,245,251,254,262,275,292,293,295,305,306,314,315,323,337,338,339,340,344,
345,363,368,374,377,390,399,407,417,427],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,57,58,60,61,62,63,66,69,70,71,72,73,74,75,76,77,79,80,
82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,117,118,119,126,130,131,134,135,136,137,
138,139,142,143,145,146,147,148,149,151,152,153,156,158,160,161,163,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,193,198,200,201,202,203,207,208,210,213,214,216,217,219,220,221,222,223,
224,225,227,228,229,231,233,234,243,244,245,249,250,251,253,254,255,256,257,
258,259,262,264,265,266,271,274,275,278,288,289,291,292,293,295,297,299,301,
302,305,306,314,315,317,318,320,322,323,326,332,337,338,339,340,342,343,344,
345,347,358,359,363,365,368,373,374,376,377,379,380,390,391,393,396,399,400,
405,407,410,417,421,427,428],[1,2,3,4,5,6,7,8,9,11,13,14,16,17,19,20,21,22,24,
25,27,28,29,30,31,33,35,39,40,41,44,45,47,48,51,52,53,54,55,56,57,58,60,61,62,
63,65,66,69,70,74,75,76,79,80,82,84,85,87,95,99,100,104,105,106,110,113,115,
116,118,119,120,121,122,123,124,125,126,127,129,130,131,134,135,138,139,142,
143,144,146,147,148,149,151,153,156,158,160,161,163,165,166,167,168,170,172,
175,178,180,181,189,191,193,197,200,201,204,209,210,211,213,214,216,221,227,
228,231,234,238,239,240,241,242,243,244,245,248,251,254,262,263,270,271,273,
275,278,279,286,287,292,293,295,305,306,311,312,313,314,315,318,319,323,332,
334,336,337,338,339,340,341,344,345,354,355,356,358,360,362,363,368,372,374,
377,378,385,387,388,390,395,397,399,404,407,411,413,414,416,417,421,427,429],[
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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,2,1,
1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,
7,7,1],[1,6,1,4,3,1],[1,4,3,1,3,3,1],[1,4,3,1,3,3,1],[1,2,5,2,1,4,1],[1,2,5,2,
1,2,2,1],[1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,3,2,1,1,1,1],[1,5,2,
1,1],[1,2,3,1,1,1,1],[1,3,2,1,1,1,1],[1,5,2,1,1],[1,1,4,1,1,1,1],[1,1,3,1],[1,
2,1,1,2,1],[1,2,1,1,2,1],[1,3,1,2,1],[1,2,1,1,2,1],[1,2,1,1,1,1,1],[1,1,1,1],[
1,2,2,1],[1,4,1],[1,3,1,1],[1,1,1,2,1],[1,1,1],[1,1,1],[1,5,1,1],[1,5,1,1],[1,
5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,2,1,1,1,
2,1],[1,1,6,1,3,2,1,1],[1,7,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,
4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,
1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,
10,5,10,10,15,5,10,1],[1,6,9,2,6,9,18,6,9,1],[1,6,9,1,1,9,9,6,9,3,3,9,1],[1,4,
3,1,3,3,3,1,1,3,3,1],[1,4,3,1,3,3,1,3,1,3,3,1],[1,2,9,4,1,4,4,2,2,4,1,1],[1,4,
7,1,2,3,2,5,2,1,1,2,2,1,1],[1,2,9,2,2,1,2,6,1,1,1,1,2,2,1,1],[1,4,7,1,2,3,3,4,
2,1,1,2,2,1,1],[1,6,5,4,2,3,4,2,1,1,4,1,1],[1,4,7,1,5,3,2,2,2,1,1,2,2,1,1],[1,
6,5,4,2,3,2,2,1,1,1,1,2,2,1,1],[1,6,5,1,1,3,5,3,1,1,1,1,1,1,1,1,1,1],[1,8,3,1,
4,5,3,2,1,1,2,2,1,1],[1,2,9,8,1,4,2,1,1,2,2,1,1],[1,6,1,4,3,4,1,2,1],[1,2,5,2,
1,2,2,2,2,1,1,1,1],[1,4,3,1,3,3,2,2,1,1,1,1],[1,2,5,2,1,4,4,1,2,1],[1,4,3,1,3,
3,2,2,1,1,1,1],[1,2,5,2,1,4,4,1,2,1],[1,2,1,1,2,2,2,1,2,1],[1,2,1,1,3,3,1,1,1,
1],[1,2,1,1,2,1,2,1],[1,2,5,2,1,4,1,2,1,1,2,1],[1,9,2,2,1,1,1,1,1],[1,5,2,3,1,
1,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,9,4,12,1,1],[1,9,1,1,2,3,3,6,1,
1],[1,1,2,2,2,2,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[
1,3,1,1,2,1,3,1,1],[1,3,3,1,1,3,1,1],[1,9,1,3,1,1],[1,9,1,3,1,1],[1,3,1,1,3,
1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,2,1,1],[1,6,5,5,1,1,
1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,1,3,3,4,1,1,1],[
1,4,3,4,1,3,3,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,6,9,1,1,9,9,
1,3,3,3,1,3,3,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,12,3,1,10,9,3,1,3,3,1,3,3,
1],[1,4,11,1,4,3,6,6,1,2,1,1,2,3,1,1,2,1,2,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,
3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,8,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,
3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,1,12,1,
3,3,1,2,2,1,3,1,1,1,1],[1,7,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,4,3,1,3,4,1,1,1,3,1,
1,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,4,3,4,1,1],[1,2,4,1],[1,3,6,4,3,4,6,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,3,10,3,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,1,
1,1],[1,15,1,1,5,3,1,1],[1,6,13,4,14,3,12,6,2,1,3,6,12,2,3,6,3,6,6,1],[1,12,
11,1,10,16,21,6,9,3,1,5,3,12,9,3,1,3,3,6,3,3,1,1,1,3,3,3,3,1],[1,8,15,2,1,6,9,
15,6,24,1,3,8,3,9,9,1,3,3,3,6,3,3,1,1,1,3,3,3,3,1],[1,6,13,2,12,9,18,6,1,6,9,
6,6,3,1,3,3,1],[1,10,9,10,2,10,15,4,4,2,5,10,1,4,4,4,1,2,1,2,1,1,2,1],[1,6,13,
1,1,11,9,8,11,2,2,2,3,3,10,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1],[1,10,9,2,4,6,11,
18,4,2,1,6,9,4,4,4,1,2,1,1,2,1,2,1],[1,6,5,4,2,3,4,8,2,1,1,4,1,4,1,2,1],[1,6,
5,4,2,3,4,10,1,1,4,1,4,1,2,1],[1,2,9,8,1,4,4,6,1,1,2,2,3,2,1,1,1,1],[1,6,13,4,
2,4,3,4,8,2,2,2,1,1,2,4,4,4,4,4,4,1,2,1,2,1,2,1,1],[1,6,5,4,2,3,4,2,1,1,4,1,4,
1,2,1],[1,4,11,1,2,5,3,2,6,5,3,1,1,1,4,2,2,4,1,4,3,1,1,1,1,1,1,1,1],[1,8,7,1,
4,2,5,2,5,3,5,1,1,1,2,2,2,4,2,4,1,3,1,1,1,1,1,1,1,1],[1,2,13,2,4,1,4,4,4,2,1,
2,4,1,1,2,2,1,1,1,2,2,1],[1,6,5,1,1,3,5,3,4,4,2,1,1,1,1,1,1,1,3,3,6,1,1,1,1,1,
1,1,1],[1,2,5,2,1,2,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,
9,6,6,1,1,1],[1,9,4,9,12,1,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,3,5,8,1,3,4,1,2,
1,1],[1,3,4,1,8,1,3,4,1,2,1,1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,3,9,4,1,3,4,2,1,1,
1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,10,9,2,2,9,6,6,6,6,2,2,1,6,6,1,1,1,1],[1,1,18,
2,2,9,12,12,2,2,1,6,6,2,1,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,15,2,2,9,8,6,
6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,15,2,2,9,6,2,6,6,1,6,1,2,1],[
1,3,12,1,1,2,9,1,4,3,6,3,3,1,3,3,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,2,2,
3,2,2,1,1,3,1,1],[1,7,2,2,3,2,8,2,1,3,1,1,2,1],[1,1,6,2,2,3,2,2,2,6,1,3,1,1,2,
1],[1,8,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,6,5,5,10,1,5,1,1,1,2,1,1],[1,6,5,5,
10,1,5,1,1,1,2,1,1],[1,21,1,7,1,3,1,1],[1,7,7,7,1,1,1,1],[1,6,9,16,2,6,9,18,6,
9,8,12,1,1],[1,6,9,16,1,1,9,9,6,9,3,3,9,4,4,12,1,1],[1,6,9,4,2,6,9,18,12,6,9,
1,4,1,3,1],[1,6,9,4,1,1,9,9,6,9,12,3,3,9,1,4,1,3,1],[1,6,9,4,1,1,9,9,6,9,12,3,
3,9,1,4,1,3,1],[1,10,5,4,10,10,15,4,8,5,10,1,4,1,1,2,1],[1,10,9,4,1,3,9,9,3,3,
3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,16,3,4,1,12,9,3,6,8,4,3,1,6,6,3,1,4,3,
2,1,1],[1,4,15,4,1,9,3,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,10,9,4,3,1,3,9,9,3,
3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,4,6,3,6,6,3,3,4,4,4,1,3,6,6,3,
1,4,3,1,1,1,1],[1,4,15,4,1,6,3,6,9,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,4,15,4,1,6,
3,3,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,12,7,4,3,4,9,9,6,4,4,4,1,3,6,6,3,1,4,3,
1,1,1,1],[1,6,13,4,10,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,4,3,4,1,3,3,1,
3,4,1,3,3,1,4,1,1,1],[1,4,3,4,1,3,3,3,1,4,1,3,3,1,4,1,1,1],[1,4,3,4,1,3,3,6,6,
4,1,3,3,1,4,3,1,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,13,4,6,3,4,4,4,3,
1,3,4,3,1,1],[1,14,9,1,1,10,15,9,4,3,3,5,3,3,4,6,3,1,1,3,3,5,1,1,3,1,1,1,1,1,
1,1,1],[1,6,17,1,1,4,9,6,15,4,1,2,3,3,2,3,3,4,6,3,1,1,1,2,3,3,2,1,1,3,1,1,1,1,
1,1,1,1],[1,25,2,4,10,20,1,1],[1,5,2,4,1,5,1,1],[1,9,3,6,4,6,6,9,3,4,6,1,6,6,
1,1],[1,9,3,6,4,3,3,6,9,3,4,6,1,3,3,6,1,1],[1,9,3,1,3,9,1,3,3,1,1,1],[1,9,3,1,
3,9,1,3,3,1,1,1],[1,9,3,10,12,9,3,1,1,3,1,1],[1,7,7,8,1,1],[1,15,10,5,6,10,6,
5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,
3,4,1,1,3,1,4,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,8,15,1,15,1,1,5,5,1,3,3,5,1,3,
1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,1,7,14,1,7,1,2,1,1],[1,10,17,10,14,10,
15,12,12,6,2,5,10,3,12,6,12,12,2,3,6,6,1,6,3,6,3,6,6,1,3,3,1],[1,10,17,2,4,18,
11,26,4,14,2,1,6,11,4,14,20,4,2,3,10,2,1,3,2,10,1,2,6,6,1,2,1,1,2,1],[1,6,21,
4,14,4,3,4,16,2,2,6,2,1,3,2,4,4,6,12,4,4,4,2,3,6,2,4,1,2,3,2,6,1,2,6,4,4,1,1,
1,2,2,1],[1,14,21,2,10,6,22,31,12,30,6,6,2,5,10,14,9,18,6,6,10,10,4,12,4,12,1,
6,6,10,1,1,2,2,2,1,6,6,6,1,6,6,10,6,1,2,2,1,2,1,2,2,2,1,2,1,1,2,2,2,1],[1,6,
13,4,2,4,3,4,8,2,10,10,1,1,2,4,4,4,4,4,4,1,4,4,2,1,2,1,2,2,2,1,1,1,1,1],[1,10,
9,10,2,10,15,4,4,10,5,10,1,4,4,4,1,2,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,10,9,2,4,6,
11,18,4,8,2,1,6,9,4,4,4,1,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,12,27,2,2,1,27,27,6,
6,18,18,6,6,9,1,2,2,18,18,18,18,1,3,3,6,6,1,3,3,1],[1,3,18,4,1,8,1,9,9,12,6,
24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,5,8,1,9,9,18,24,3,9,4,1,2,1,3,3,4,3,6,3,
1,1],[1,3,18,1,4,8,1,9,9,6,12,24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,22,9,2,2,24,
27,10,6,6,6,14,2,9,1,6,14,18,6,1,1,1,4,6,1,2,2,2,1],[1,10,21,2,2,6,9,18,18,6,
6,6,4,6,2,2,12,9,1,6,2,12,6,6,12,1,1,1,4,6,1,2,2,2,1],[1,10,9,2,2,9,9,9,6,6,6,
6,2,2,9,1,6,6,1,1,1,1,1,1,1],[1,10,9,2,2,9,18,6,6,6,6,2,2,9,1,6,6,1,1,1,2,1,
1],[1,10,9,2,2,9,6,6,6,6,6,2,2,9,1,6,6,2,6,1,1,1,6,1,2,1],[1,10,9,2,2,9,6,6,6,
6,6,2,2,9,1,6,6,2,6,1,1,1,6,1,2,1],[1,9,4,27,12,9,1,1,3,1],[1,6,9,5,8,1,9,9,1,
3,15,3,4,1,2,1,3,3,4,3,1,1,1],[1,6,9,4,1,8,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,
1,1],[1,12,3,1,4,8,10,9,3,1,3,12,3,4,1,2,1,3,3,4,3,1,1,1],[1,15,6,2,2,9,9,9,8,
6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,2,6,6,9,1,6,6,1,2,2,1,1,
1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,9,4,1,3,3,4,3,6,
3,4,2,1,1,3,3,4,1,3,1,1],[1,9,5,8,1,3,3,4,9,3,4,1,2,1,3,3,4,1,3,1,1],[1,9,1,4,
8,3,1,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,4,9,3,4,1,2,1,3,3,4,1,3,
1,1],[1,1,24,2,2,3,9,3,12,2,12,2,2,6,9,1,3,1,6,6,1,3,2,1,2,3,3,1,1,1,1],[1,7,
18,2,2,3,9,3,2,12,12,8,2,9,1,3,1,6,6,1,3,2,1,2,3,3,1,1,1,1],[1,3,6,2,2,1,3,3,
2,6,6,6,3,1,2,2,3,1,1,3,3,2,1,3,1,1,1,1],[1,9,2,2,1,3,3,2,12,6,3,1,2,2,3,1,1,
3,3,2,1,3,1,1,1,1],[1,10,5,10,10,15,16,5,10,1,1],[1,8,15,1,15,15,10,10,1,5,5,
5,1,3,3,5,1,2,2,3,3,1,1,1,1],[1,3,6,13,3,3,4,6,3,3,1,1,1,1,1],[1,12,27,4,2,3,
6,27,27,18,36,3,9,4,12,12,12,9,9,27,3,9,9,9,18,9,9,1,4,12,12,1,3,3,9,9,9,9,1,
3,3,4,3,1,3,3,1],[1,24,15,4,1,28,30,45,6,9,9,3,12,4,12,15,3,30,9,9,3,9,9,18,9,
9,1,4,12,12,3,1,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,12,27,4,4,1,18,9,27,6,54,3,9,
4,12,12,18,3,27,9,3,9,9,9,18,9,9,1,4,12,12,3,1,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[
1,16,23,4,3,10,28,33,18,27,9,3,4,8,4,4,8,5,9,16,27,9,3,9,9,18,9,9,1,4,4,8,4,8,
1,3,3,9,9,9,9,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,6,21,16,2,24,9,18,18,16,3,6,9,18,
18,9,8,12,1,9,9,12,3,1,1],[1,18,9,16,2,12,6,15,18,12,6,16,3,6,9,12,12,12,3,6,
8,12,1,3,6,3,6,8,4,3,1,1],[1,6,21,16,1,1,15,9,12,15,6,6,6,16,3,3,12,6,6,6,12,
6,3,3,3,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,6,13,16,4,14,3,12,6,16,2,1,3,6,
12,2,3,6,4,8,3,6,6,4,8,8,1,1],[1,12,11,4,1,10,16,21,6,9,3,1,12,8,5,3,12,9,3,1,
3,3,6,3,3,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,8,15,4,2,1,6,9,15,6,24,1,
3,20,8,3,9,9,1,3,3,3,6,3,3,1,4,4,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,10,9,4,3,1,
3,9,9,6,10,6,4,4,4,3,1,3,3,3,3,3,9,3,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,10,9,4,1,3,9,9,3,10,6,6,4,4,4,1,3,3,3,3,3,3,3,9,12,1,4,4,4,3,1,3,3,3,3,
3,1,1,1,4,3,1,1,1,1],[1,4,27,4,1,6,9,3,6,18,9,7,8,8,4,1,3,3,12,6,6,12,3,6,3,1,
4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,16,15,4,1,12,6,9,6,9,7,9,8,8,4,3,1,
3,6,6,6,12,6,6,3,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,6,21,4,1,1,15,
9,12,15,6,6,6,8,12,3,3,12,6,6,6,12,6,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,
1,1],[1,6,21,4,1,1,15,9,12,15,6,6,6,8,12,3,3,12,6,6,6,12,6,3,3,3,1,4,4,4,1,3,
3,3,3,3,3,2,3,4,3,1,1,1,1],[1,10,17,4,10,6,10,15,12,12,6,8,4,8,5,10,3,12,12,
12,3,6,1,4,4,4,1,6,3,3,6,2,1,2,4,3,1,1,1,1],[1,18,9,4,2,12,6,15,18,12,6,8,12,
3,6,9,12,12,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,6,13,16,2,12,9,18,6,
16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,10,25,25,2,4,2,10,20,10,10,1,1,2,1],[1,
25,25,2,4,10,20,10,20,1,1,1],[1,25,25,2,4,10,20,10,1,1,1],[1,3,6,18,16,1,6,6,
9,16,24,1,4,4,2,2,3,4,1,2,2,4,4,1],[1,27,3,6,4,27,18,18,27,3,4,6,27,3,18,18,1,
9,3,1],[1,9,18,3,6,4,27,6,6,6,6,12,9,18,3,4,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,
1],[1,9,3,6,4,9,6,6,9,3,4,6,9,1,6,6,1,1,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,
10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,
15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,8,15,4,1,
15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,8,15,1,15,20,1,1,5,5,15,1,3,3,5,5,
5,1,4,3,5,1,1,1,3,1,1,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,2,1,1,3,1,1],[1,14,29,
2,10,18,22,31,12,38,6,14,14,2,5,10,14,11,18,6,6,10,18,14,20,12,4,20,2,3,10,10,
6,10,4,1,1,2,2,2,1,6,6,10,3,6,6,10,6,10,3,2,6,1,2,6,1,2,2,6,4,4,1,2,2,2,3,2,1,
3,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,9,8,32,2,6,9,18,24,6,9,16,2,16,24,8,
1,6,8,2,2,1],[1,6,9,4,4,32,1,1,9,9,6,9,12,12,3,3,9,16,1,1,8,8,24,4,4,1,3,3,4,
4,2,1,1,1],[1,12,27,2,2,1,27,27,9,27,6,6,18,18,6,6,9,27,27,1,2,2,18,18,18,18,
9,1,3,3,6,6,1,3,1,3,3,1,3,3,1],[1,22,21,2,2,24,6,27,18,18,9,9,10,6,6,4,6,14,2,
12,9,9,18,18,9,1,6,6,2,12,14,18,6,12,9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,
2,2,1],[1,10,9,2,2,9,15,15,6,6,6,6,2,2,9,9,9,1,6,6,2,2,6,6,9,1,1,1,6,6,1,1,1,
2,2,1,1,1,1],[1,24,27,2,2,1,24,45,27,6,10,6,18,18,18,6,9,9,6,18,9,1,2,2,6,14,
18,30,18,18,2,6,9,1,3,3,4,6,6,6,2,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,12,
39,2,2,1,6,27,18,45,6,6,6,18,4,18,6,6,12,9,9,6,18,9,1,2,2,6,2,12,18,18,18,18,
12,2,6,9,1,3,3,4,6,6,6,2,6,6,6,6,1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,10,21,2,2,6,
9,18,18,6,18,6,6,6,4,6,2,2,12,9,9,9,1,6,2,12,6,6,12,2,6,9,1,1,1,4,6,6,2,1,2,2,
2,2,1,1,1,1],[1,22,9,2,2,24,27,24,10,6,6,6,14,2,9,18,1,6,14,18,6,2,6,9,1,1,1,
4,6,6,2,1,2,2,2,2,1,1,1,1],[1,30,9,5,8,1,30,27,9,12,23,24,3,21,9,3,12,18,9,4,
1,2,1,3,21,3,9,3,3,9,4,8,4,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,6,33,4,1,8,1,
12,9,18,27,12,1,16,6,3,24,12,3,6,3,9,12,18,9,4,1,2,1,3,3,6,12,3,3,6,3,3,9,4,4,
4,4,6,3,1,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,18,21,1,4,8,3,10,27,27,12,3,4,7,12,
24,9,12,3,9,12,18,9,4,1,2,3,1,3,9,9,12,3,3,9,4,4,4,1,3,6,3,3,1,3,3,3,3,3,1,4,
3,3,1,1,1,1],[1,10,25,10,10,10,15,20,20,10,16,5,10,5,20,20,20,5,10,16,1,10,5,
5,10,5,1,1],[1,27,3,6,13,9,9,45,27,3,3,4,6,3,3,3,3,9,9,18,3,3,1,1,1,1,3,3,3,3,
1,1],[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],[
1,7,28,7,28,8,1,7,8,7,1,1],[1,15,11,20,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,
15,1,10,20,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,6,37,16,4,14,12,3,12,24,6,6,
6,16,16,16,2,1,3,6,12,12,6,12,12,12,12,2,3,6,6,12,4,8,16,3,6,3,6,6,3,6,6,12,
12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,10,17,16,10,14,10,15,12,12,6,16,32,2,5,
10,3,12,6,12,12,2,3,6,6,4,8,16,1,6,3,6,3,6,6,4,8,8,8,1,3,3,4,1,1,1],[1,18,25,
16,6,4,26,27,54,12,30,16,16,16,2,1,18,27,12,30,36,12,2,3,18,6,4,8,16,3,3,6,18,
3,6,18,6,4,4,8,8,4,8,8,1,6,3,3,6,4,8,3,1,1],[1,18,25,16,2,12,30,15,42,12,30,
16,16,16,4,3,6,15,12,30,48,12,6,9,24,6,8,12,16,1,9,6,24,3,6,12,18,8,4,12,4,3,
4,3,3,6,1,4,3,1,1,1,1],[1,18,41,4,4,10,18,34,51,24,72,12,16,6,4,8,12,12,8,5,
24,18,27,36,12,16,24,24,12,24,12,36,3,18,12,24,1,4,4,4,8,12,12,8,4,4,1,3,4,4,
6,3,18,18,18,3,12,12,24,12,3,6,6,3,6,3,6,1,3,2,3,2,4,4,4,4,4,4,4,4,6,3,6,3,3,
6,6,6,1,1,1,3,2,3,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,26,33,4,2,28,6,48,63,24,42,16,
12,6,12,12,20,15,14,36,9,36,16,12,24,24,12,36,12,24,3,12,18,24,1,4,4,12,12,20,
4,4,3,1,4,6,4,3,12,12,12,3,18,18,24,18,3,6,6,3,6,3,6,3,3,5,4,4,4,4,4,4,4,6,4,
3,6,3,3,6,6,6,1,1,5,3,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,25,25,2,4,25,10,20,10,20,
1,1,1,1],[1,25,25,2,4,25,10,20,10,20,1,1,1,1],[1,10,25,25,50,2,4,25,2,10,20,
10,20,20,10,1,10,1,2,1,1,1,1],[1,12,27,6,18,16,1,27,27,6,6,18,18,42,6,9,9,16,
24,1,4,4,2,2,18,18,18,18,1,3,3,24,24,9,6,6,4,1,2,2,4,4,3,3,4,1,6,6,1,1],[1,21,
6,18,16,1,9,9,18,24,24,6,9,9,16,24,1,4,4,2,2,9,3,3,9,4,3,18,24,3,6,3,9,4,1,2,
2,4,4,3,3,4,1,3,6,3,1,1],[1,3,18,6,18,16,1,9,9,12,6,24,6,6,18,9,9,16,24,1,4,4,
2,2,9,3,3,9,4,3,6,12,24,3,6,3,9,4,1,2,2,4,4,3,3,4,1,3,6,3,1,1],[1,27,18,3,6,4,
27,27,9,18,18,6,6,12,27,18,27,3,4,6,27,9,18,9,3,2,18,6,18,6,12,9,1,1,3,9,6,3,
2,3,1,1,1,1],[1,9,12,28,27,12,36,9,9,4,1,12,9,4,3,4,1,1],[1,18,45,10,6,30,45,
90,6,10,30,30,30,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,18,45,10,
1,5,45,45,30,45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,
3,1],[1,36,15,10,5,40,45,15,30,6,30,10,30,15,5,30,30,15,6,6,6,5,10,30,30,15,
12,6,10,5,10,6,5,1,2,1,1],[1,16,35,10,5,25,15,30,30,30,6,10,20,10,10,20,5,15,
30,30,15,6,6,6,5,10,10,20,10,20,15,12,6,10,5,10,6,5,1,2,1,1],[1,16,15,10,5,15,
15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,12,6,5,10,6,5,1,1,1],[1,16,15,
10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,12,6,5,10,6,5,1,1,1],[
1,8,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,6,6,3,3,5,4,1,3,3,5,1,4,
3,1,1],[1,42,9,8,32,2,36,6,27,18,36,18,48,96,24,9,6,9,36,36,36,9,18,16,2,16,
24,8,24,24,1,9,18,9,18,16,12,48,24,6,24,9,8,2,2,6,6,8,6,6,1,1],[1,6,45,4,4,32,
1,1,27,9,24,27,18,18,18,24,24,96,12,12,3,3,18,18,18,18,36,18,9,9,9,16,1,1,8,8,
24,4,4,12,12,12,12,1,9,9,9,9,9,9,16,6,6,24,24,24,3,3,12,12,9,4,4,2,1,1,3,3,3,
3,4,4,6,3,3,1,1],[1,12,27,8,32,2,3,6,27,27,18,36,3,9,4,12,48,12,9,9,27,3,9,9,
9,18,9,9,16,2,16,24,8,12,12,12,12,1,3,3,9,9,9,9,16,1,3,12,4,12,3,8,2,2,3,3,3,
3,4,4,1,3,1,1],[1,24,15,4,4,32,1,28,30,45,6,9,9,3,12,4,12,12,24,15,3,30,9,9,3,
9,9,18,9,9,16,1,1,8,8,24,4,4,12,12,12,12,3,1,3,9,9,9,9,16,3,1,3,3,6,4,12,3,4,
4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,12,27,4,4,32,4,1,18,9,27,6,54,3,9,4,12,36,12,
18,3,27,9,3,9,9,9,18,9,9,16,1,1,8,8,24,4,12,4,12,12,12,3,1,3,9,9,9,9,16,1,3,3,
9,4,12,3,4,4,2,3,1,1,3,3,3,4,4,1,3,1,1],[1,6,21,8,32,2,24,9,18,18,16,24,48,3,
6,9,18,18,9,16,2,16,24,8,1,9,9,16,12,6,12,3,8,2,2,1,3,1,1],[1,24,39,2,2,1,24,
6,45,18,45,15,33,10,6,18,4,18,18,6,12,9,9,9,6,6,18,36,18,36,9,27,1,2,2,6,6,2,
12,14,18,30,18,18,12,2,2,6,6,9,9,9,9,9,9,9,1,3,3,4,4,6,6,6,6,2,2,6,6,6,6,6,6,
6,6,9,1,3,1,3,3,2,2,2,2,2,2,2,2,6,6,1,1,1,3,3,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,15,10,5,7,24,10,6,15,5,10,5,6,10,6,1,5,1],[1,10,25,10,10,10,15,20,20,50,
16,5,10,5,20,20,20,5,10,20,20,16,1,10,5,5,10,10,10,16,5,5,5,5,1,1,1],[1,27,3,
6,40,27,18,18,27,3,12,4,6,12,12,27,27,3,18,18,1,4,4,4,9,3,4,1,1],[1,49,28,14,
42,21,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[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],[1,18,45,11,20,5,45,45,6,11,45,60,45,15,10,6,18,18,5,10,5,15,45,6,10,
20,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,45,11,20,5,45,45,6,50,60,45,45,10,6,5,
10,5,45,15,6,10,20,18,15,30,15,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,
10,10,30,60,15,30,45,10,6,5,10,5,15,30,15,6,10,10,10,18,15,30,15,6,5,10,1,6,5,
3,1,1],[1,25,11,20,5,15,15,6,20,35,20,15,10,6,5,10,5,15,10,15,6,10,20,6,5,15,
6,5,10,1,6,5,1,1,1],[1,22,53,16,6,10,26,46,63,36,90,18,18,30,16,32,16,16,32,2,
5,30,22,27,54,18,18,30,30,30,36,36,12,36,2,3,18,18,18,30,12,4,8,16,16,32,16,
32,1,3,6,6,6,3,18,18,18,3,18,18,30,18,18,3,6,6,3,6,18,3,6,6,6,12,12,4,4,8,8,8,
4,8,8,16,8,1,6,6,6,3,6,3,3,3,6,3,3,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,4,1,
3,1,1,1,1],[1,10,25,25,50,2,4,25,50,2,10,20,10,25,20,20,10,1,10,1,2,1,1,1,1,1,
1,1],[1,12,63,6,18,16,1,18,27,54,81,18,6,6,42,12,18,48,42,6,36,9,27,18,54,27,
9,16,24,1,4,4,2,2,18,6,36,54,18,18,18,36,6,18,27,1,3,8,3,24,12,24,24,48,6,12,
9,6,6,18,6,18,18,18,18,4,1,2,2,4,4,3,3,6,6,24,6,6,9,18,4,8,1,2,3,3,6,6,6,12,6,
6,1,4,3,6,1,2,1],[1,48,27,6,18,16,1,72,81,27,18,42,54,18,18,78,6,27,9,18,54,
27,9,16,24,1,4,4,2,2,18,78,18,54,18,18,6,18,27,9,3,3,60,72,6,12,9,6,6,18,6,18,
18,18,18,4,1,2,2,4,4,3,3,30,6,6,6,9,18,12,1,2,3,3,6,6,6,12,6,6,1,4,3,6,1,2,
1],[1,12,27,6,18,16,1,27,27,9,27,6,6,18,18,42,6,9,27,27,9,16,24,1,4,4,2,2,18,
18,18,18,36,9,1,3,3,24,24,9,6,6,4,1,3,1,2,2,4,4,3,3,9,4,1,3,3,6,6,1,4,1,1,1],[
1,38,45,10,6,40,30,75,90,40,30,6,30,30,50,15,30,45,40,60,60,15,30,6,18,18,5,
10,10,30,30,50,10,10,5,15,30,15,30,6,12,12,18,18,10,15,10,10,10,10,10,10,10,
15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,18,65,10,1,5,55,45,60,75,30,10,30,6,
10,20,30,30,20,15,15,60,10,30,30,60,30,15,15,15,6,18,18,5,10,10,10,20,30,30,
20,10,10,5,15,15,15,15,15,15,6,12,12,18,18,10,15,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,63,28,63,
84,36,9,28,36,28,9,1],[1,21,1,28,56,7,7,21,28,21,8,21,28,7,7,14,14,7,7,21,28,
8,16,8,7,7,21,7,7,8,7,7,1,1],[1,42,33,8,32,2,36,42,27,90,36,54,48,96,32,24,96,
6,9,6,27,36,54,108,36,18,27,54,18,16,2,16,24,8,24,96,24,1,27,18,54,9,18,18,54,
16,32,12,48,24,24,6,24,24,9,6,9,9,18,8,16,2,2,6,24,6,9,8,2,6,6,6,1,6,1,2,1],[
1,54,45,8,32,2,78,6,90,135,36,54,42,18,18,56,96,24,72,45,18,90,9,54,42,18,54,
54,36,108,36,36,9,18,54,54,16,2,16,24,8,24,72,24,72,24,24,9,1,6,18,6,9,18,18,
18,9,54,54,54,54,9,18,18,9,18,9,18,16,32,14,6,48,24,18,8,24,24,24,24,24,24,18,
6,9,18,9,9,18,18,18,8,16,2,2,6,18,18,6,6,6,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,
2,1],[1,30,69,4,4,32,4,28,18,84,99,60,108,30,30,18,12,4,28,24,12,96,36,12,24,
15,36,48,27,90,30,30,54,54,36,72,36,72,9,36,36,54,16,1,1,8,8,24,4,12,4,12,12,
24,12,36,36,12,12,24,12,12,12,12,3,3,10,12,12,9,36,36,36,9,36,36,54,36,9,18,
18,9,18,9,18,16,16,16,1,3,7,3,6,24,24,24,3,9,6,12,4,4,12,12,12,12,12,12,12,12,
12,12,12,12,12,9,18,9,9,18,18,18,4,4,16,2,3,1,1,3,9,3,3,3,6,9,3,6,3,3,3,3,12,
12,9,4,4,4,4,4,4,3,1,1,3,6,3,3,3,3,3,3,3,3,3,3,1,4,4,3,3,1,1,1,1],[1,42,9,8,
32,2,36,6,27,18,36,72,18,48,96,24,9,6,9,36,36,36,9,36,18,36,16,2,16,24,8,24,
24,1,9,18,18,9,18,18,16,12,48,24,6,24,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,20,
75,10,5,75,75,7,24,10,50,50,25,7,45,120,45,5,50,10,5,15,45,25,6,10,10,10,5,6,
12,1,5,10,6,5,5,1,1],[1,27,54,3,6,40,27,81,27,18,18,18,18,144,27,54,81,3,12,4,
6,12,12,27,27,27,54,27,3,12,6,18,18,18,18,36,12,12,27,27,1,4,4,4,3,9,9,18,3,6,
12,12,12,9,4,1,3,3,4,3,1,1],[1,46,45,20,20,15,15,45,45,45,45,45,36,60,60,60,
60,20,20,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,10,36,15,15,15,
15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,18,45,14,80,6,30,45,90,6,10,30,90,
30,45,40,6,18,18,6,60,120,30,30,30,24,5,40,6,18,18,30,10,24,30,6,10,10,1,6,10,
3,6,5,4,1,1],[1,18,45,4,10,80,1,5,45,45,30,45,6,10,30,60,30,15,15,45,40,6,18,
18,1,5,20,40,120,10,20,30,30,24,5,40,6,18,18,15,15,10,24,10,20,6,10,5,5,1,6,
10,3,6,5,4,1,1],[1,60,15,20,20,15,60,45,45,90,36,80,60,20,60,60,15,15,90,90,
45,10,36,15,15,60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,
1,1],[1,58,45,11,20,5,90,135,45,60,6,61,60,45,60,95,20,45,15,60,90,45,10,6,18,
18,5,10,5,45,95,15,135,60,15,15,6,45,10,10,10,40,24,18,20,30,15,5,45,15,15,15,
15,15,6,6,6,5,10,20,20,20,18,15,15,1,6,6,6,5,10,5,5,4,3,6,5,1,3,1,1,1,1],[1,
45,40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,1],[1,48,63,6,18,
16,1,72,18,81,54,81,27,45,42,54,42,12,18,48,78,6,36,27,9,27,18,18,54,108,54,
54,27,27,9,16,24,1,4,4,2,2,18,18,6,36,78,54,54,18,18,36,6,6,54,18,9,27,27,27,
27,27,27,9,3,8,3,60,12,72,24,48,6,6,12,12,9,6,6,18,18,6,6,18,18,18,18,18,54,
18,18,4,27,1,3,1,2,2,4,4,3,3,6,30,6,6,24,6,6,6,6,9,9,9,18,18,12,8,1,2,2,3,3,3,
3,3,3,6,6,6,6,6,12,6,12,6,6,6,6,9,1,4,4,4,1,3,3,3,3,3,3,6,6,1,2,2,4,3,1,1,1,
1],[1,10,65,40,10,70,10,15,60,60,30,96,80,40,80,10,5,10,15,60,30,60,60,10,15,
30,30,96,10,40,40,40,40,1,30,15,30,15,30,30,20,10,20,40,40,40,5,15,15,10,10,
10,16,5,6,5,10,6,5,1],[1,45,21,60,40,15,15,45,36,60,60,45,45,30,40,60,36,15,
15,30,30,15,15,45,36,10,60,60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,
1],[1,54,69,8,32,2,78,42,90,135,36,126,42,90,54,56,96,24,32,72,96,6,45,18,90,
27,54,42,18,54,126,54,108,108,36,108,18,27,54,54,54,54,36,16,2,16,24,8,24,72,
24,72,96,24,24,9,1,6,18,6,9,18,18,54,27,54,54,54,54,54,27,18,54,9,18,18,9,18,
18,54,36,36,16,32,32,14,6,48,24,24,18,24,8,24,24,24,24,24,24,9,18,6,6,27,18,9,
27,9,18,9,9,18,18,18,18,18,16,8,16,16,2,2,6,18,18,6,24,6,6,24,9,9,9,9,9,9,9,8,
8,16,8,2,6,2,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,20,75,10,5,75,75,50,
150,7,24,10,50,50,25,75,75,7,45,120,45,5,50,50,50,10,75,5,10,90,120,15,45,25,
50,6,10,10,10,5,15,45,25,6,12,1,5,10,10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,42,
49,112,14,28,70,63,126,84,126,112,112,112,64,8,7,42,63,84,126,168,84,14,21,84,
42,28,56,112,112,7,21,42,84,21,42,84,42,64,28,28,56,56,112,28,56,56,7,28,21,
21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,48,135,20,20,16,15,90,135,135,90,
270,45,135,36,60,60,180,180,60,60,90,45,135,135,45,135,135,135,270,135,135,10,
36,108,108,15,15,20,20,180,180,180,180,15,15,45,135,135,135,135,10,30,30,36,
108,108,15,15,45,45,45,45,60,60,45,10,30,10,30,30,36,15,15,45,45,45,45,6,6,10,
30,30,15,15,18,18,10,6,6,1,3,1],[1,46,45,20,20,15,15,45,45,45,60,60,90,36,60,
60,60,60,20,20,15,15,45,45,45,45,45,45,45,90,10,36,36,36,15,15,60,60,20,20,60,
60,15,15,45,45,45,45,45,10,10,10,72,36,15,15,15,15,15,15,60,60,45,10,10,10,20,
20,36,15,15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,76,75,20,20,
15,120,150,225,90,135,135,45,36,100,60,60,40,60,140,20,120,75,45,150,135,135,
45,135,135,270,135,135,10,36,36,36,15,15,60,60,20,120,140,180,60,120,15,15,45,
135,135,135,135,10,10,10,40,40,72,36,15,45,15,15,30,15,45,30,60,60,45,10,10,
10,20,20,20,20,20,20,36,15,15,45,45,15,15,30,30,6,6,10,10,10,20,20,15,15,12,
12,6,6,10,6,6,1,1,2,1],[1,78,45,14,80,6,120,30,135,90,120,90,6,110,240,30,150,
45,30,45,120,180,180,45,90,40,6,18,18,6,60,120,30,30,150,30,90,90,30,24,5,45,
90,45,90,40,80,6,36,36,18,18,40,180,120,30,10,30,90,30,30,30,30,24,45,30,40,6,
18,18,10,10,30,30,30,1,6,24,30,10,10,18,30,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,
1],[1,18,105,4,10,80,1,5,75,45,120,135,90,30,90,6,10,40,60,30,240,60,30,60,15,
15,90,30,90,90,180,90,45,45,45,40,6,18,18,1,5,20,40,120,10,20,30,30,60,60,30,
30,60,60,30,30,24,5,45,45,45,45,45,45,40,40,40,6,36,36,18,18,10,30,60,120,120,
15,15,10,30,30,30,60,30,30,30,24,45,10,20,40,6,18,18,10,5,5,15,15,15,15,30,1,
6,24,10,20,10,10,18,30,15,15,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,63,84,28,63,
84,252,36,9,28,84,63,36,84,28,36,63,28,36,28,9,9,1,1],[1,63,84,28,63,84,252,
36,9,28,84,63,36,84,28,36,63,28,36,28,9,9,1,1],[1,30,125,40,10,10,130,70,135,
60,270,30,70,150,96,40,80,120,120,80,10,5,90,30,135,90,30,70,90,90,150,180,60,
60,180,10,15,90,90,30,90,60,96,10,40,40,40,40,80,120,120,80,40,40,1,15,10,10,
30,15,90,90,90,15,30,30,90,30,90,15,30,30,15,30,90,15,30,30,30,60,60,96,10,30,
20,40,40,30,20,40,40,40,40,40,40,40,40,40,5,10,30,30,15,30,15,15,15,30,15,15,
30,30,30,30,30,10,10,10,30,20,30,20,40,10,10,40,40,16,5,15,15,15,15,15,15,6,
10,10,5,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,90,45,21,60,40,15,150,135,
135,180,36,135,180,15,60,120,225,180,45,45,180,270,135,30,40,60,36,15,15,30,
30,15,15,225,45,45,180,45,45,36,135,30,20,180,60,180,60,120,108,15,60,45,90,
90,45,45,15,15,45,45,45,45,45,10,36,10,15,15,30,90,60,45,45,45,30,20,6,6,36,
15,15,15,15,30,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,105,35,140,
35,105,315,126,210,420,105,120,315,70,126,35,105,70,35,105,105,70,126,120,105,
105,210,105,70,35,21,42,35,21,30,7,1],[1,78,165,20,20,16,120,90,240,315,180,
360,150,150,90,36,100,60,180,40,180,180,60,120,75,120,180,135,270,150,150,270,
270,180,360,180,360,45,180,180,270,10,36,108,108,15,15,20,20,60,60,20,120,140,
180,300,180,180,120,20,20,60,60,15,15,30,60,60,45,180,180,180,45,180,180,270,
180,45,90,90,45,90,45,90,10,30,30,40,40,36,72,72,108,108,15,45,45,45,30,45,75,
30,60,60,60,60,20,20,60,60,60,60,60,60,60,60,60,60,45,90,45,45,90,90,90,10,30,
10,30,30,20,20,20,20,20,20,20,20,36,36,36,15,15,15,15,75,45,15,45,30,45,45,30,
15,15,15,15,60,60,6,6,45,10,10,10,30,30,10,10,20,20,20,20,20,20,36,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,12,12,18,18,10,10,10,10,10,10,10,15,15,6,6,6,
6,6,6,10,1,6,6,3,2,1,1,1,1],[1,30,225,20,200,10,150,225,450,12,144,20,300,600,
300,150,225,100,12,180,720,180,10,200,600,100,300,300,120,25,100,200,60,180,
180,150,100,36,120,120,120,100,100,60,50,50,36,72,2,120,60,120,100,36,30,60,
25,20,10,12,20,12,10,1],[1,48,135,24,180,160,16,15,90,135,135,90,270,45,135,
36,60,60,180,180,240,60,90,45,135,135,45,135,135,135,270,135,135,90,160,240,
36,108,108,16,15,160,40,120,360,360,20,80,60,180,180,180,180,180,144,15,15,45,
135,135,135,135,10,30,30,240,240,36,108,108,15,15,45,45,45,90,60,60,180,40,
144,45,10,30,10,80,20,40,40,60,30,30,36,30,30,30,15,15,45,45,45,45,45,40,6,6,
36,10,30,30,60,60,60,60,15,15,45,10,40,18,18,36,15,15,10,24,24,10,6,6,15,15,1,
10,3,6,6,4,1,1],[1,126,105,35,140,35,210,315,315,420,126,245,420,105,140,315,
420,120,105,105,420,630,315,70,126,126,126,35,105,70,35,105,315,105,315,420,
105,105,120,315,70,140,140,252,126,120,105,140,105,210,105,105,35,105,105,105,
105,105,105,70,35,70,70,126,120,105,105,105,21,42,35,35,70,35,42,42,21,35,30,
21,7,7,1,1],[1,130,225,20,200,10,300,150,675,450,300,450,12,144,220,600,300,
600,500,200,225,150,225,300,900,900,225,450,100,12,180,720,180,10,200,600,100,
300,500,300,900,600,300,300,120,25,225,450,225,450,100,100,100,400,60,120,360,
720,180,180,100,600,600,150,100,300,300,300,300,300,300,36,120,120,120,225,
100,100,200,200,200,60,180,180,50,50,150,150,300,36,72,2,120,60,120,120,120,
100,100,100,100,180,150,150,36,36,36,20,120,30,60,120,25,100,20,36,10,30,30,
60,25,12,20,20,20,30,12,10,20,12,10,1,1],[1,105,36,210,280,35,105,315,126,210,
420,210,210,120,315,105,280,420,126,35,105,140,140,210,70,70,105,105,105,315,
126,70,105,210,420,126,120,240,120,105,105,210,105,315,70,126,70,35,70,70,140,
140,105,105,105,70,21,42,126,120,35,105,105,210,105,35,70,21,30,21,42,35,7,21,
30,7,1,1],[1,138,225,24,180,160,16,330,90,450,675,360,540,360,180,270,36,240,
540,240,120,180,480,600,60,360,225,180,450,135,540,360,180,540,540,540,1080,
540,540,135,270,540,540,90,160,240,36,108,108,16,15,160,40,120,360,360,20,80,
240,180,60,360,600,360,720,180,180,360,240,60,360,180,144,45,15,60,180,90,135,
270,270,270,135,540,540,540,540,135,270,270,135,270,135,270,90,30,80,30,600,
120,720,240,480,36,216,216,108,108,15,120,60,45,90,480,120,360,360,360,45,180,
90,120,60,240,180,240,60,180,360,180,360,180,360,360,180,40,144,180,90,135,
270,135,135,270,270,270,10,30,10,80,20,40,40,60,30,30,60,300,60,60,240,60,60,
60,60,36,108,108,30,30,30,60,15,45,180,180,45,45,90,90,45,90,90,45,90,45,360,
180,120,80,6,6,36,144,135,10,20,80,60,30,30,30,30,30,30,120,60,60,60,60,60,
120,120,60,120,60,60,60,60,108,30,60,15,45,90,90,45,90,45,90,45,90,90,45,45,
90,10,40,40,40,36,36,18,18,36,15,15,10,30,30,30,30,30,30,120,60,60,24,24,45,
90,10,20,20,40,6,6,18,18,18,18,36,15,15,30,15,15,30,1,24,24,10,10,10,18,18,15,
15,3,6,6,6,10,4,1,3,3,6,6,4,3,1,1],[1,130,225,20,200,10,300,150,675,450,300,
600,450,12,144,220,600,300,600,500,200,225,150,225,300,900,900,225,900,450,
900,100,12,180,720,180,10,200,600,100,300,500,300,900,600,300,200,300,600,120,
25,225,450,450,225,450,450,100,100,100,400,60,120,360,720,180,180,100,600,600,
150,100,300,300,300,300,300,300,600,36,120,120,120,225,225,225,200,100,100,
200,200,200,200,60,180,180,50,50,150,150,300,36,72,2,120,60,120,120,120,225,
100,100,100,100,100,100,180,150,150,36,36,36,20,120,30,60,120,25,100,100,20,
36,36,36,10,30,30,60,25,12,20,20,20,36,30,25,12,10,20,12,10,1,1,1],[1,168,315,
36,210,280,35,420,945,945,630,126,336,630,420,420,630,840,840,210,1260,120,
315,315,630,1890,945,105,280,420,126,378,378,35,105,140,140,210,70,70,420,840,
630,1260,630,630,1260,210,630,360,126,945,105,105,140,105,840,420,1260,420,
840,504,378,120,240,120,105,210,315,420,630,315,315,210,210,420,210,630,630,
630,630,70,126,126,126,70,35,70,70,140,140,105,105,105,210,420,210,420,210,
210,378,120,360,315,315,630,210,140,21,42,126,126,126,120,35,70,105,105,105,
210,210,105,210,210,105,420,210,210,35,70,70,70,84,126,63,126,120,105,210,105,
30,21,42,35,70,70,63,7,21,21,42,21,35,30,21,21,7,7,1,3,1,1],[1,210,105,56,560,
70,420,210,315,630,1260,630,336,560,1680,560,840,1680,960,30,105,210,315,1260,
630,1260,1260,210,315,630,630,280,336,70,420,560,840,280,840,1680,840,336,35,
315,630,630,315,630,630,630,280,560,560,1008,960,420,420,420,1680,840,840,210,
420,840,840,840,336,105,210,315,315,630,280,280,280,280,70,70,210,420,840,210,
240,56,168,336,315,280,280,70,210,105,210,210,168,168,35,240,120,240,56,105,
210,35,70,28,56,35,28,30,8,1],[1,238,525,56,560,70,630,210,1050,1575,1260,
1890,1470,630,630,336,616,1680,840,1120,1680,1400,560,3360,960,30,525,630,
1050,315,1890,1470,630,1890,1890,630,1260,3780,1260,1260,210,315,630,630,1890,
1890,1260,280,336,1008,1008,70,420,560,840,280,840,1680,560,3360,1400,840,
2520,1680,3360,840,840,960,336,105,35,210,630,210,315,630,630,630,315,1890,
1890,1890,1890,630,315,630,630,315,630,630,315,630,630,630,1260,1260,280,280,
280,1120,1120,1344,1008,960,420,490,210,420,840,1680,840,840,420,630,840,840,
280,840,1680,840,840,840,840,840,840,336,336,336,105,630,210,210,315,630,315,
315,315,630,315,315,630,630,630,630,630,280,280,280,280,560,560,560,560,560,
560,1008,960,70,70,210,420,630,630,420,420,840,210,840,840,210,210,840,840,
240,56,168,336,336,336,105,315,315,315,315,315,315,280,280,280,280,280,560,
560,280,70,210,420,70,210,105,210,210,210,210,210,210,224,336,168,168,336,315,
35,280,280,240,120,240,56,105,105,105,210,210,168,168,35,70,70,120,28,56,56,
56,105,35,35,35,28,56,56,35,30,28,8,8,1,1],[1,378,945,84,1680,1120,126,1260,
1890,2835,5670,3780,5670,756,1260,5040,1260,5040,10080,3780,15120,4320,270,
945,1890,2835,3780,5670,11340,11340,1890,2835,5670,5670,840,840,1120,1680,
3360,3360,756,2268,2268,126,1260,2520,2520,7560,1260,1260,3780,3780,3780,
15120,3780,3780,4320,3024,315,2835,5670,5670,2835,5670,5670,5670,840,840,1680,
5040,5040,5040,5040,10080,3360,3360,756,4536,4536,2268,2268,4320,1260,1260,
3780,7560,7560,7560,7560,1890,3780,7560,1260,1260,3780,3780,3780,3780,3780,
7560,280,1120,1120,1120,3024,945,1890,2835,2835,5670,840,2520,1260,1260,2520,
2520,5040,756,2268,2268,4320,630,630,1890,3780,7560,1890,3780,840,1680,3360,
3360,3360,2160,126,504,756,3024,2835,1260,1260,840,1260,1260,2520,1260,1260,
2268,1120,630,1890,945,1890,1890,280,840,840,756,1512,378,756,315,1260,1260,
1120,1080,1080,2160,504,504,945,1890,840,840,126,378,378,756,315,630,280,84,
504,504,378,120,120,315,280,126,252,84,270,126,120,120,84,36,36,9,1],[1,630,
4725,120,4200,11200,210,3150,9450,9450,14175,18900,28350,9450,9450,28350,1512,
18144,2520,12600,12600,25200,37800,100800,12600,12600,75600,14400,1350,4725,
9450,9450,14175,28350,9450,9450,28350,28350,28350,56700,56700,56700,56700,
9450,14175,28350,28350,28350,28350,56700,2100,8400,11200,16800,33600,33600,
1512,22680,90720,22680,210,3150,8400,8400,25200,37800,75600,4200,4200,12600,
37800,12600,75600,12600,37800,37800,37800,37800,75600,12600,12600,37800,37800,
43200,15120,945,1575,3150,9450,9450,14175,28350,28350,28350,14175,28350,28350,
28350,28350,28350,14175,28350,28350,14175,28350,28350,14175,28350,28350,28350,
56700,56700,2100,6300,8400,16800,6300,25200,25200,50400,50400,100800,33600,
33600,7560,15120,45360,90720,22680,22680,14400,28800,14400,3150,3150,3150,
9450,18900,25200,25200,75600,37800,37800,75600,9450,9450,18900,37800,12600,
12600,12600,37800,12600,12600,37800,37800,37800,37800,37800,37800,37800,37800,
37800,4536,2800,11200,11200,11200,15120,15120,15120,4725,9450,9450,9450,14175,
28350,14175,14175,14175,28350,14175,14175,28350,28350,28350,28350,28350,2100,
6300,25200,2100,4200,4200,8400,8400,12600,6300,6300,12600,12600,12600,12600,
50400,12600,12600,12600,12600,7560,22680,22680,14400,43200,3150,6300,3150,
3150,3150,9450,9450,9450,9450,9450,18900,9450,9450,18900,37800,9450,9450,9450,
9450,37800,37800,37800,4536,9072,8400,16800,33600,33600,33600,10800,252,1260,
15120,30240,7560,15120,15120,15120,14400,4725,14175,14175,14175,14175,14175,
14175,2100,4200,4200,12600,6300,6300,6300,6300,6300,6300,8400,12600,12600,
12600,12600,12600,12600,25200,12600,12600,25200,12600,12600,12600,12600,5670,
22680,11200,3150,3150,3150,9450,3150,9450,18900,4725,9450,9450,9450,9450,9450,
9450,9450,9450,9450,9450,9450,4536,4536,4536,2100,2800,8400,8400,2520,7560,
15120,3780,3780,7560,15120,14400,14175,1575,3150,2100,6300,6300,6300,6300,
6300,6300,12600,12600,12600,5670,11200,3600,5400,10800,2520,5040,4725,4725,
4725,9450,9450,9450,4536,4536,4536,2100,4200,4200,8400,8400,1260,1260,3780,
3780,3780,3780,7560,1575,3150,3150,3150,3150,3150,6300,1512,5670,2800,5400,
210,2520,2520,2520,5040,2520,4725,4536,2100,2100,2100,3780,3780,1200,1200,
3600,1575,1575,3150,1575,1512,2800,630,1260,1260,1260,2520,2520,2100,945,840,
1575,1512,1350,210,630,630,1260,1260,1200,1200,945,840,120,630,126,210,360,
126,120,210,126,120,45,45,10,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,
18,18,20,20,20,20,20,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,27,27,27,27,30,30,30,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,40,40,40,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,50,50,54,54,54,54,54,56,60,60,60,60,60,60,60,60,63,
64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,80,80,81,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,100,100,100,108,108,108,108,120,120,120,120,120,120,120,126,128,144,144,
144,144,144,144,144,144,144,144,144,144,160,162,168,168,168,180,180,192,192,
192,192,192,192,200,200,200,216,216,216,216,216,240,240,240,240,240,240,240,
288,288,288,288,288,288,288,300,320,324,336,360,360,360,360,360,360,384,400,
432,432,432,480,480,504,504,504,576,576,576,576,600,648,720,720,720,720,720,
720,864,960,1080,1152,1200,1344,1440,1440,1440,1440,1440,1512,1512,1920,2160,
2520,2880,3600,4320,5040,7200,7560,8640,14400,15120,20160,40320,181440,
1814400],
[430,418,380,426,382,336,424,392,345,346,322,294,256,347,346,255,406,308,400,
333,334,265,235,122,328,329,152,321,407,380,347,346,322,256,347,346,256,256,
255,172,173,186,174,342,322,256,254,256,256,186,402,355,336,312,240,241,406,
286,128,286,424,392,352,353,263,228,141,382,383,334,235,329,152,328,234,234,
235,235,152,328,329,234,235,213,320,415,405,392,346,347,322,256,256,256,322,
256,256,256,256,254,322,256,256,322,256,254,322,256,255,255,186,186,402,369,
355,312,369,264,265,204,204,122,240,241,362,320,211,128,286,286,321,252,321,
392,391,392,346,291,280,277,141,228,228,144,346,347,291,228,332,333,334,235,
328,329,235,234,235,234,235,234,234,235,233,381,395,336,336,336,320,320,320,
380,346,347,345,322,256,322,322,322,254,322,322,256,256,255,256,255,402,369,
270,402,383,382,352,353,334,369,369,326,326,331,330,204,328,329,328,329,362,
286,286,321,213,390,364,391,392,392,346,347,347,346,346,291,347,346,291,228,
347,346,347,346,233,234,235,381,350,354,312,240,241,242,339,422,412,316,247,
362,320,320,320,321,380,322,322,322,322,322,322,402,382,383,334,369,369,369,
369,369,369,355,332,333,334,326,326,333,277,332,334,280,329,328,329,328,371,
286,336,391,392,392,346,390,345,294,380,346,347,346,347,346,347,347,346,346,
347,345,381,381,381,402,395,354,354,400,359,316,386,385,362,320,321,322,405,
392,402,369,369,369,369,369,369,332,333,334,371,336,389,373,339,400,378,380,
380,380,345,346,347,381,381,381,402,383,382,354,355,411,412,385,386,385,386,
362,405,392,391,392,392,390,369,406,371,395,373,424,401,400,400,378,400,380,
381,402,402,402,385,386,413,414,389,405,405,392,405,406,395,418,411,412,410,
400,401,402,415,416,405,406,407,424,418,418,411,412,413,414,415,416,426,418,
425,424,421,425,426,424,425,426,428,428,429,430],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,5,4,5,5,6,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
3,3,2,3,2,3,1,1,1,1,1,1,1,1,1,1,1,1,17,17,18,1,7,8,7,7,8,9,12,1,1,1,1,5,5,4,4,
4,5,5,5,4,5,1,1,28,1,1,1,1,1,1,3,2,2,2,3,2,2,2,2,3,3,3,2,3,2,3,1,2,3,3,16,16,
51,51,52,54,1,4,5,5,4,6,55,56,1,17,17,18,17,17,28,28,1,62,61,61,62,62,63,64,
67,66,66,65,8,7,8,9,4,5,4,5,25,26,26,25,2,2,26,25,4,5,44,1,1,6,6,6,4,17,85,3,
2,2,9,11,11,11,11,11,9,11,11,11,11,16,2,16,51,51,52,1,7,7,7,7,8,51,51,51,51,
51,51,54,4,5,4,5,17,17,17,133,28,87,88,7,7,8,8,61,61,62,62,62,61,62,62,66,7,8,
61,62,163,25,26,164,17,51,54,55,56,52,29,244,245,246,247,7,17,85,85,28,30,33,
45,11,45,30,33,51,194,193,197,51,51,51,51,51,51,115,69,68,70,113,113,61,64,61,
62,63,117,117,26,25,86,60,53,61,61,62,62,214,214,215,172,32,31,62,61,145,146,
146,145,145,146,87,164,164,164,7,165,165,51,244,245,246,245,244,125,85,133,95,
87,88,51,113,113,117,117,114,114,193,194,197,285,287,337,338,243,244,245,295,
172,295,214,145,146,164,164,164,192,193,194,238,270,244,245,244,245,244,245,
248,323,324,216,217,218,214,198,244,285,311,338,374,375,340,340,341,244,295,
236,310,310,192,318,317,387,388,337,323,323,324,323,370,372,374,356,357,374,
340,375,351,403,374,363,370,407,374,374,374,397,398,387,388,403,404,417,396,
419,408,417,419,417,420,419,423,427,427,429,430],
[(1,2,3),( 2, 3, 4, 5, 6, 7, 8, 9,10)],
[[[[]]],[[[1,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,-4]]],[[[
1,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1,3,1,4,-1]]],[[[1,1,2,1,1,1,2,
-2],[3,1,1,1,3,1,1,1,3,1,1,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-2,1,-1,3,
1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,1,3,-1,4,1,3,1,1,1,3,1]],[[1,1,2,
1,1,1,2,-2],[1,-1],[4,1,3,1,1,1,3,1,4,1,3,-1,1,1,3,-1]]],[[[1,1,2,1,1,1,2,
-2],[3,1,1,1],[3,1,4,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[1,
-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,3,1,
4,1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,2],[7,
1,6,1,7,1,6,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,
1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,-1,5,
1,6,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,
1,2,-2],[1,-1],[3,1,1,-1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,
3,1],[4,1,3,2,1,-1,4,-2,3,-1]]],[[[1,1,2,2,1,-1,2,1],[3,3]]],[[[1,1,2,1,1,1,2,
-2],[1,-1,3,1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1,1,1,3,-1,4,
-1]]],[[[1,1,2,-2]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,-1,1,1,3,-1]],[[
1,1,2,1,1,1,2,-2],[3,-1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,1,3,
1,1,1,3,-2,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,-1,3,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,
1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,3,1,1,-1,3,1,1,1,3,1,4,1,3,1,1,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,
1,4,1,1,-1],[4,1,5,-2,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,
3,1],[4,1,5,1,6,-1,5,1,6,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,
1,4,-2,5,2,4,1]]],[[[1,-1,2,2,1,-1,2,1,1,1,2,1],[3,-4]],[[1,-1],[1,1,2,1],[3,
1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1],[1,1,3,1,
4,-1,3,-1],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,2,1,-1,2,1],[3,2]]],[[[1,1,2,1,1,1,
2,-2],[1,1,3,1,1,-1,3,-2]]],[[[1,1,2,1,1,1,2,-2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[3,1,4,1],[4,1,3,1],[4,1,6,1,5,-1,6,2,5,-2,4,-1]],[[1,-1,2,-1,1,1,2,1],[
1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,
1,3,1],[5,2,4,1],[6,1,7,-1,6,1,7,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,
-2,4,-1,3,2,1,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,1,3,-1,4,1,3,1,
1,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,1,1,-1,3,1,1,1,4,-1,3,-1,4,
-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,5,-1,4,-1,5,2,
6,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]]],[[[1,1,2,-1,
1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2]],[[1,1,2,
-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,
-1],[5,2,3,1,5,-2,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,
1],[6,1,5,-1,4,-1,5,2,6,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,
1,4,1,3,1,4,1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,
3,1,4,1,3,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,
-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,1,1,3,-2,4,1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,
-1,1,1,3,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,-2,5,-1,4,-1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[5,2,3,1,4,-1,5,1,4,1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,
1,4,1],[4,1,3,1,5,-2,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,
1],[5,1,4,1,5,1,6,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,
2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,
1,2,-2],[3,2,1,1,3,2,1,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1,1,-1],[4,
1,5,-2,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,1,1,3,-2,4,1,3,1,1,-1,3,1]]],[[[
1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3],[1,-1,2,2,1,-1,2,1,1,1,
2,1],[6,-1],[8,1,7,1,6,1,7,2,6,-1,7,1,8,-1]],[[1,-1,2,2,1,-1,2,1,1,1,2,1],[3,
-2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,4,1,5,1,6,
2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1,5,-2,4,2]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,-1]],[[1,-1,2,-1,1,
1,2,1],[1,1,2,-2],[3,1,4,1],[3,1,4,-1,5,2,4,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,3,-1,1,1,3,-2,1,-1,3,-1,4,-1]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,2,1,1,
3,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1,4,2,3,1,4,1,3,1]],[[
1,1,2,1,1,1,2,-2],[1,-1,2,1,1,1,2,-1,3,1],[4,2,3,1,4,1]]],[[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,
-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[3,1,5,1],[5,1,6,1,4,1,5,-1,6,-1,
4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,-1,4,-1,5,-1,3,1,5,1,4,
1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,
2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,1,2,1],[3,
1,1,-1,2,-1,3,-1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,5,-1,3,-1,5,1,
3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,2,1,1,3,-1,1,-1,3,-1,4,-1]]],[[[
1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1],[5,1,4,1,1,-1,5,1,4,1]],[[1,1,2,1,1,1,2,
-2],[1,-1],[1,1,3,1],[4,1,3,1,5,2,4,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,
1],[4,1,3,1,1,-1,3,1,5,1,1,-1,3,-2,4,-1,5,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,
1,3,1],[4,1,5,-1,3,-1,5,-1,4,1,3,1,1,-1,3,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,
3,1],[1,1,3,-2,4,2,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,5,-1,3,
-1,5,1,3,1,4,-1]]],[[[1,2,2,1,1,1,2,-2]]],[[[1,1,2,1,1,1,2,-2,1,-1]]],[[[1,1,
2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,4,
-1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[
1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,-2,5,1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1,3,1,4,1,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,
1],[1,-1,4,2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2]],[[1,1,2,1,1,1,2,
-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,3,1,
4,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,1,3,2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,
1],[1,-1,3,-2,4,-1,3,1,4,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,3,-2,1,-1,3,1,
1,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,
1],[5,1,3,1,5,-1,6,1,5,1,6,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,
1,4,2,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,1,5,2,4,1]],[[1,1,2,
1,1,1,2,-2],[1,-1],[4,1,3,1,4,1,3,1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[
1,1,3,1],[5,1,4,1,3,1,5,1,4,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,-1,3,
-1],[4,1,5,1,4,1,5,1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[
5,3],[1,-1,2,2,1,-1,2,1,1,1,2,1],[7,1,6,-1,7,2,6,-1,7,-1,6,-1]],[[1,-1,2,2,1,
-1,2,1,1,1,2,1],[3,-4]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,
1]],[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,4,2]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,3,-2,1,-1,3,1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[3,2,1,-1,3,-1,1,1,
3,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,1,5,1,4,2,5,1,4,-1,5,1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2],[4,2,6,2]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[4,1,3,1,4,2,3,1,4,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,
1,3,1],[5,2,6,3,5,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[4,
1,5,1,6,-1,5,1,6,2]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,
3,1],[5,1,4,1,6,-4,4,-1,5,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,
1],[4,1,3,1],[4,1,5,1,6,2,4,-1,5,-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,
1,3,1,4,1,3,-1,1,1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-2,1,-1,3,1,1,-1,
3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,-1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,
1,3,1],[1,1,3,-1],[3,1,5,-1,4,-1,5,1,3,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,
1,1,1,3,1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,1,3,
1,5,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1,1,-1],[4,1,5,-2,4,
-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,-2,4,-1,3,1,1,1,3,1,4,1]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,1]],[[1,1,2,-2],[1,-1,2,
-1,1,1,2,1,3,1],[3,2,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,
1],[5,2,6,1,4,1,6,1]],[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,4,2]]],[[[1,1,
2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[3,
2,1,1,3,1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,1,3,-1],[3,1,5,-1,4,
-1,5,1,3,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,1,3,-2,4,-1,3,1,4,2]]],[[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,5,-1,6,2,5,-2]],[[1,1,
2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,4,2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,
3,1,1,-1,3,1,4,1]]],[[[2,-1,1,1,2,-2,1,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[
3,1,4,1,1,-1],[4,1,5,-2,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,
5,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1,1,1,3,1]]],[[[1,-1,2,1,1,1,
2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,2,4,1]],[[1,-1,2,1,1,
1,2,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,4,1,
5,1,6,-2,4,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1],[5,1,4,-2,3,
1,4,2,5,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,3,1,4,
1,3,1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,
-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]],[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,
1,5,2,3,1,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,
1,4,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,-1,2,-1,1,
1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[1,-1,2,-1,1,1,2,1],[
1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
-2,3,1,4,2,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,2],[
7,1,6,-2,7,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,4,1,5,3,3,1,4,
-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[5,2,4,-1,3,1,4,-2,5,-1]]],[[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,-1,5,1]],[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[
4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,
3,1,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,
1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,-1,5,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,2,1,1,3,
1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,-1,3,1],[4,1,5,-1,4,1,5,-1]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[6,2,5,-1,4,-1,5,-2]],[[1,-1,2,-1,
1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,-1,5,1,6,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[4,1,3,1,5,-2,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[
5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,
4,-1,3,1,4,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,
2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,1,2,1,1,1,
2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,3,2,1,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,
1,3,-2,4,1,3,1,1,-1,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,1,1,-1,3,1,
1,1,4,-1,3,-1,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[3,1,4,-1,5,
-1,3,1,4,1,3,1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]],[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]]],[[[1,-1,2,
1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,3,1,5,-3,4,-1,5,-1]],[[1,-1,2,1,
1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,2,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-1,
1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,1,5,1,6,1,
5,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,
1,5,-1,3,1,5,1]]],[[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[4,1,3,1,4,3,3,1]],[[1,
-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,-1,3,
1,1,-1,3,1,4,1,3,1,1,1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[3,1,5,1],[
4,1,6,-1,5,-1,6,1,4,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,2,
3,1,4,1,5,-2,4,-1]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]]],[[[1,1,2,1,1,1,2,
-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,
3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]]],[[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,-1,5,1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[
3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,1,3,1,6,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[4,1,3,1],[4,2,5,-2,4,-1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
1],[4,1,3,1],[5,1,4,1,5,1,6,2]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]],[[1,-1,
2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,-2,5,-1,4,-1]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,-1,5,1,6,2]],[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[4,1,3,1],[5,1,6,-2,5,-1,4,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[4,1,3,1],[4,2,5,-2,4,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,1,3,
2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,1,3,1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-2,
1,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,1],[4,2,6,
-1,5,-1,6,1,5,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,2],[5,1,4,1,2,-1,1,1,2,
-2,1,-1,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-4,5,
-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,1,3,-1,4,1,3,1,1,1,3,1,1,-1,3,1,1,1,4,
1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,1],[1,-1,3,1,4,1,5,2,3,-1,4,-1]],[[1,
1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,1],[5,1,3,1,4,1,1,1,4,2,3,1,5,-1]]],[[[1,1,2,
1,1,1,2,-2],[1,1,3,1],[3,1,1,1],[3,1,5,1,4,2,1,-1,5,1,3,-1]],[[1,1,2,1,1,1,2,
-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,
2,1,1,4,-1,1,1,3,-2,1,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,
2,1],[5,1,4,1,5,1,4,2,5,1,4,-1,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,
1,-1,2,1],[4,2],[5,-1,6,1,5,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,
1],[4,1,3,2,5,2,4,-1,5,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,2,1,1,3,
-1,1,1,3,-1,4,-1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,2,1,1,3,-1,1,-1,3,-1,4,
-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,3,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,
1,3,1,4,1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,1,3,-1]]],[[[1,1,
2,1,1,1,2,-2],[1,1,3,1],[4,1,3,2,4,1,1,1]],[[1,1,2,1,1,1,2,-2],[3,3,1,-1,3,1,
1,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,
1,1,2,-2],[1,1,3,3,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,
-2,5,3,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[
1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,-1,3,1,1,1,3,1,4,1,3,1,1,-1]],[[1,1,2,1,1,
1,2,-2],[3,1,1,-1,3,1],[1,-1,4,-1,1,1,3,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,
1,3,1],[1,-1,4,2]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1],[4,2,1,1]]],[[[1,1,2,1,
1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,3,1,1,-1,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,
1,3,1,1,-1,3,-2,1,-1,3,1,1,-1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,-1,3,
2,1,1,3,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,
1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,4,1,3,1,4,-1,5,1]],[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1],[5,1,4,-1,3,1,5,1]]],[[[1,1,2,1,1,1,2,
-2],[1,1,3,1],[3,1,1,-1,3,-1,4,-1,3,-2,1,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[
3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,
1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,-1,3,1],[5,1,4,-1,5,1,4,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,2,5,2,4,-1,5,-1,3,-1]],[[1,
1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-2],[5,1,4,1,5,1,4,1]]],[[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,3,1],[3,1,4,-2,5,-1,6,2,
5,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[5,2,
4,3,5,1,3,1,4,-1]]],[[[1,1,2,2,1,-1,2,1,1,1],[3,2]]],[[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,
4,-1,3,1,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,1,3,1,1,1,3,-2,4,-1]],[[1,1,2,1,1,
1,2,-2],[1,-1],[4,1,3,-1,1,1,3,-1,4,1,3,2,1,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,
1,1,1,2,-2],[4,1,3,1],[3,1,4,-2,5,-1,3,1,4,2,5,1]],[[1,-1,2,1,1,1,2,-1],[1,1,
2,1,1,1,2,-2],[3,1,4,1],[5,1,4,1,3,1,4,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-1,3,
1,4,-2,3,1,4,-1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,2,3,1,4,-1,3,1,
4,-2,3,1,4,1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,2,4,1,3,1,
4,-3]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,1]],[[1,1,2,
1,1,1,2,-2],[1,1,3,1],[3,2,1,1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1,6,1,5,1,6,
1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,
-3,3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[
1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3],[1,-1,2,2,1,-1,2,1,1,1,
2,1],[6,1,7,1,6,-1,7,1,6,1]],[[1,-1,2,2,1,-1,2,1,1,1,2,1],[3,-2]]],[[[1,1,2,1,
1,1,2,-2],[1,-1],[4,1,3,-2,1,-1,3,1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,1,
3,1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,
1]],[[1,1,2,1,1,1,2,-2],[1,1,3,2,1,-1,3,2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,
1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,-2,1,1,3,
1]]],[[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,-2,4,2]],[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[3,1,4,1,3,1,4,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,2,1,-1,3,
-2,1,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[
1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,-1,3,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,
2,-2],[1,1,3,1],[3,1,4,1,1,-1,3,-1,1,1,4,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,
1],[4,1,3,1,1,1,3,-1,4,-1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[
5,1,4,1,5,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[
3,1,4,-3,3,1,4,3,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,
1],[3,1,4,1],[4,-1,5,1,4,1,3,1,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,
2,1,-1,2,1,1,1],[3,1,4,1],[5,1,3,1,4,-2,5,1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[4,1,3,1],[3,1,4,1,5,-1,4,-1,5,1]],[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[
3,2,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,1,2,1,
1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,3,2,1,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,3,1,1,1,3,1,4,1,3,-1,1,1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,
1,1,-1,3,1,1,1,4,-1,3,-1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,1,3,-1,
4,1,3,1,1,1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,
-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,3,1,4,1,3,1,5,1]]],[[[1,1,2,1,1,1,2,
-2],[1,-1],[4,1,1,1,3,-2,4,1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,
3,-1,1,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,1,3,1,1,-1,3,-2,4,-1]]],[[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,5,-1,6,2,5,-2]],[[1,1,2,
-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
-2,3,1,4,2,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,5,
-1,6,2,5,-2]],[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,4,2]],[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,1,5,3,3,1]],[[1,
1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,
1,5,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,
3,1,5,2,3,1,5,1,3,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,
1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,3,2,1,-1,4,1]],[[1,1,2,1,
1,1,2,-2],[3,1,1,1,3,-1,1,-1,3,2,1,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,
1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,1]],[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,2,
4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]]],[[[1,
1,2,1,1,1,2,-2],[1,-1],[4,1,3,-2,1,-1,3,1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,
-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1],[
3,1,4,1,3,1,4,-1,1,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2,1,1]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[6,1,5,-2,6,-1,5,-1,6,-1]],[[
1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[5,-1,6,-2,5,1]]],[[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1]],[[1,-1,2,-1,1,1,2,1,1,1,
2,-2],[3,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2,4,
2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,5,1,4,
-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,1,3,-2,4,2,3,1,4,1]],[[1,1,2,1,1,1,2,
-2],[1,-1],[1,1,3,1],[4,1,5,-1,3,-1,5,1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,
1],[4,1,3,2,1,1,3,-1,4,-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,-1,
3,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,2]]],[[[1,1,2,1,1,1,2,-2],[
1,1,3,1],[1,-1,3,1,4,2]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,1,3,1,1,-1]]],[[[
1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,1,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,
1,1,1,3,1,1,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[6,
1,5,-1,4,-1,5,2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,
1,4,-1,5,-1,4,-2,5,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,2,1,1,4,-1,1,1,3,
-2,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,1,4,-1,3,-1,4,1,3,2,1,1]]],[[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,-3,
4,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[
5,2,3,1,4,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,4,1,
6,-1,5,1,6,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,2]],[[1,1,
2,-2],[1,-1,2,-1,1,1,2,1,3,1],[3,1,4,1,3,2,4,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1],[5,1,3,1,4,-2,5,1,3,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,
-1],[4,2],[5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]],[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2]]],[[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,1,2,-2],[3,1,1,-1,2,-1,1,
1,2,1,3,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]]],[[[1,1,2,1,1,1,2,
-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,2,
1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,
-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,1,
1,1,2,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,2,3,1,4,-1,3,
1,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,
-1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]],[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,
-2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,
2,-2],[1,-1,2,-1,1,1,2,1,3,1],[4,1,3,1,4,3,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[4,1,3,1,4,2,3,1,4,2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,2,1,-1,3,2]],[[1,1,2,
1,1,1,2,-2],[3,2,1,1,3,2,1,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[
3,1,4,-2,5,-1,3,1,4,1,5,2]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,-1,1,1,2,1],[
1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,
1,4,2,3,1,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,2,5,-2,4,-1,3,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]]],[[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,1,4,-1,5,1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,
1,3,1,4,2,3,1,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,1,3,1,
4,-1,3,1,4,-1,5,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,1,3,1,6,1]],[[1,-1,2,-1,
1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,2,5,-2,4,-1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,2,5,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,
1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,
1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,
-1,1,1,2,1,1,1,2,-2],[3,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,-1,
3,1,1,-1,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,-1,2,1,1,1,
2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,1,4,1,3,1,4,1,5,1]],[[1,1,2,1,1,1,2,
-2],[1,-1,2,1,1,1,2,-1,3,1],[4,2,3,1,4,1]]],[[[1,-1,2,2,1,-1,2,1,1,1,2,1],[3,
-2]],[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3]]],[[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,5,1,4,1,3,1,4,-1,5,
-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,
-1],[6,1,4,-1,5,-2,6,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[4,3,5,-1,4,-1,5,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-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],[1,1,2,2,1,-1,2,1,1,
1],[3,1,4,-1],[5,1,4,-1,3,1,4,-2,3,1,5,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[
1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,-1],[6,1,5,1,6,1,5,-1]]],[[[2,1,1,
1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,-2,3,1,4,-1,
5,2,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[
4,1,3,1,4,-1],[6,1,5,-2,6,1]]],[[[1,1,2,2,1,-1,2,1,1,1],[3,1,2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1],[3,1,4,1],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[
1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[5,1,3,1,5,-1,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,
-2],[1,1,3,1],[1,1,3,-2,4,2,1,-1,3,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,
4,1,1,-1],[5,1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[5,1,4,1,5,1,4,2,5,1,4,-1,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,
-1,2,1],[4,2],[5,-1,6,1,5,1,4,1,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,
2,1,-1,2,1],[4,2],[5,2],[6,1,7,1,6,-1,7,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2],[6,1,3,1,5,1,6,1,5,1,3,1]],[[1,1,2,-1,
1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-2,3,1,5,-1]],[[
1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,
5,-1,6,-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]],[[1,
1,2,1,1,1,2,-2],[1,1,3,1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,1,1,-1,3,
1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,2,5,-1,4,
-2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,-1,5,2,4,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2],[6,1,4,2,6,1]]],[[[1,1,2,
-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-3,
6,-2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,
1,-1,2,-1,4,-1],[5,1,3,1],[6,1,3,1,5,1,6,-1,5,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[
1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1],[7,1,5,-1,6,-2,7,
-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,
-2,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1,1,-1],[4,1,5,-2,4,-1]],[[1,
1,2,1,1,1,2,-2],[3,3,1,-1,3,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,
2,1,-1,2,1,1,1],[3,1,4,1],[5,1,4,1,5,1,4,2,3,1]],[[1,1,2,2,1,-1,2,1,1,1],[3,1,
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,1,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[
4,2],[5,-2,1,1,2,2,1,-1,2,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,
-1,2,1],[4,1,5,-1,4,1,5,2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,
-1,2,-1,4,-1],[5,1,3,1],[6,1,3,1,5,1,6,-1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,-1]]],[[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]],[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[4,3,3,1,4,1,3,1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,
-1,3,-1,4,-1,3,-2,1,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,
1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,1,3,1,5,1,4,1,3,
1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[3,1,5,1],[5,1,6,1,4,1,5,-1,6,-1,4,
-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[
1,1,3,-2,1,-1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[3,2,1,-1,3,1,1,1,3,-1]]],[[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,3,1,4,-1,5,
-1,4,-1,5,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,
1],[3,1,4,-1,5,-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,-1,3,1,1,1,3,1,4,
1,3,1,1,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,-1,3,2,4,1,1,-1,4,1]]],[[[1,
1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,2,5,2,4,-1,5,-1,3,-1]],[[1,1,2,1,1,1,
2,-2],[1,1,3,1],[3,1,1,-1,3,-1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,
1],[3,1,4,1,1,-1],[4,1,5,-2,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,
2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1],[7,1,6,1,7,1,6,1]],[[1,1,2,-1,1,
1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,
1,5,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,-1,2,
1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,1,4,2,3,1,5,-1,4,-1,5,-1]],[[1,-1,2,1,1,1,
2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,5,2,3,1,4,1,3,1]]],[[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-2,6,-1,5,2,6,1]],[[1,-1,2,
1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,2,3,1,4,-1,3,1,4,-2,5,1]],[[1,-1,
2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,2],[3,1,4,1,5,1,3,1,4,-1,5,-1]]],[[[1,-1,
2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1],[5,2,4,1,3,1]],[[1,1,2,-2],[1,-1,2,-1,
1,1,2,1,3,1],[3,2,4,2]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,
2,1,1,1,4,1],[4,-1,5,-1,4,-2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,
1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-3]],[[1,1,2,-1,
1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]],[[1,1,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,
-1],[5,1,3,1],[3,1,5,-1,6,-1,5,-2,6,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,
1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[3,1,4,1],[4,1,3,1],[6,1,5,-2,4,1,5,1,6,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[3,1,4,1,3,1,4,-2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1,3,1,4,
-2]],[[1,1,2,-2],[3,-1,1,-1,2,-1,1,1,2,1,3,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,
1,1,1,2,-2],[3,1,4,1],[5,1,4,1,5,1,4,1,3,1,4,-1,5,1]],[[1,1,2,1,1,1,2,-2],[1,
-1,2,1,1,1,2,-1,3,1],[4,2,3,1,4,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[4,2,5,1,4,1,5,1,3,1,4,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[5,1,4,2,3,1,5,-1,4,-1,5,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,
2,-2],[3,1,4,1],[4,1,5,2,4,1,3,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,
4,2,3,1,4,2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1,3,1,4,-2]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,4,1,3,1,5,-1]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,
1,-1,3,-1,4,1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,3,1]]],[[[1,-1,2,1,
1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,1,4,2,3,1,5,-1,4,-1,5,-1]],[[1,-1,2,
1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]]],[[[1,1,2,-1,1,1,
2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,1,3,1]],[[1,
-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[5,2,4,1,5,
1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,
-2,1,-1,3,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[3,1,4,-1,5,2,4,1,3,
1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1,3,1,4,-2]]],[[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,-1]],[[1,-1,2,-1,1,1,2,
1,1,1,2,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,1,1,-1,4,2,1,-1,3,-2]],[[
1,1,2,1,1,1,2,-2],[3,1,1,-1,3,-2,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,
2,3,1,1,1,3,-2,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,
-1,4,-1],[3,1,5,1],[6,2,5,2,3,1,6,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,
1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,1,3,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,
2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,2],[4,1,
1,1,2,2,1,-1,2,1],[6,1,5,-2,6,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,
-1,2,1],[4,-1,5,1,4,-1,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[4,1,5,-1,4,-2,5,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[
4,2],[6,-2,5,1,6,1,5,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[5,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,5,
1,4,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,2,1,-1],[4,1,5,1,4,-1,5,-1]],[[1,
1,2,1,1,1,2,-2],[1,1,3,1],[3,-1,4,3,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,1,
3,-1,1,1,4,-1,3,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,4,
1,5,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,3,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,3,
1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,1,-1,3,1,1,1,3,1,4,1,3,1,1,
-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-1,1,1,3,-1,4,-2,3,-1]]],[[[1,1,2,
1,1,1,2,-2],[1,-1],[1,1,3,1],[3,1,1,-1,3,1,4,-1,5,1,3,1,5,1,4,1]],[[1,1,2,1,1,
1,2,-2],[1,-1],[1,1,3,1],[4,1,5,-1,3,-1,4,-1,5,-2]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[4,1,3,1,1,-1,3,1,1,1,3,1,4,1,3,1,1,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,
-1,4,3,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[1,-1,3,-2,4,3,3,1]],[[1,1,2,1,1,
1,2,-2],[1,-1],[4,1,3,1,1,1,3,-1,4,1,3,-1,1,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,-1],[4,3,1,1,2,2,1,-1,2,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[4,-1,5,1,4,-1,5,1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,-1,3,-2,1,-1]],[[1,1,2,1,
1,1,2,-2],[1,1,3,-1,1,-1,3,1,1,1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,-2,1,-1,3,
2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[5,1,3,1,4,-2,5,2]],[[2,2,1,
-1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3],[1,-1,2,2,1,
-1,2,1,1,1,2,1],[6,1,7,1,6,1,7,-1]],[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,
1,1,4,-1],[5,3],[1,-1,2,2,1,-1,2,1,1,1,2,1],[6,-1,7,1,6,-1,7,1]],[[1,-1],[1,1,
2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,3],[1,-1,2,2,1,-1,2,1,1,1,2,1],[6,-1,
7,-1,6,-1,7,-1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,2,1,-1,3,-1,1,1]],[[1,1,2,1,
1,1,2,-2],[3,1,1,1],[4,1,3,-1,1,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[1,1,2,2,1,-1,2,1],[4,2],[6,-2,5,1,6,1,5,1,4,1,5,1]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,5,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,
1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,-1,5,-3,4,1,3,1]],[[2,1,1,1,2,
1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1,4,1],[4,1,3,1,5,-2]]],[[[
1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,3,-2,5,-1,4,1,3,1,5,2]],[[1,1,2,1,1,1,
2,-2],[1,1,3,1,1,-1,3,1,1,-1,3,1,1,-1,3,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,-2],[6,1,5,-2,6,-1]],[[1,1,2,2,1,
-1,2,1,1,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[3,2,4,2]]],[[[1,1,2,-2],[1,
-1,2,-1,1,1,2,1,3,1],[4,1,3,1,4,3,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,
3,1,4,2,3,1,4,2]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]]],[[[1,1,2,1,1,1,2,
-2],[1,-1],[4,1,3,1,1,1,3,1,1,1,3,-2,4,-1]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,2,
1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,
-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1,
1,1,2,-2],[3,-2]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,2,3,1,4,2]]],[[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,-1,1,
1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,1,2,-2],[3,1,1,-1,2,-1,1,1,
2,1,3,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,-1,2,
-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,-1,1,1,2,1],[1,1,
2,-2],[3,1,4,1],[4,1,3,1,5,-1,4,1,5,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[5,1,4,2,5,1,3,1,4,-2]],[[1,-1,2,1,1,1,2,-1]]],[[[1,1,2,-2],[1,
-1,2,-1,1,1,2,1,3,1],[4,1,3,1,4,3,3,1]],[[1,1,2,-2],[3,1,1,-1,2,-1,1,1,2,1,3,
-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,
5,1,4,1,3,1,4,-1,5,-2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,
1],[3,1,4,1],[3,1,4,-1],[6,1,4,-1,5,-2,6,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[
1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,3,3,1,5,1,3,1]],[[1,-1],[
3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,3]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,
-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-2,6,-2]]],[[[1,1,2,1,1,1,2,-2],[1,-1,
3,-2,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,-1,3,-1]],[[1,1,2,1,1,1,2,
-2],[1,-1,3,-1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,3,1,1,1,3,-1,1,
-1,3,-2,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,-1,3,1],[4,1,5,-1,4,1,5,
-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[4,1,5,-1,3,-1,4,-1,5,-2]]],[[[1,1,
2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,
-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,
-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,
-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,7,2,6,-1]],[[1,1,2,-1,1,1,2,1,
1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2]],[[1,1,2,-1,1,1,
2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,-3]]],[[[1,
1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,
6,2,5,2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,
1,5,-2,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[6,1,
5,2,4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2,4,
-3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[5,1,6,1,5,1,
4,1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,-1,4,1,5,
2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,
4,-2,5,-1,4,-1,5,-1]],[[1,1,2,2,1,-1,2,1,1,1],[3,1,2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1,3,-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,2],[1,-1,5,-1,4,-1,5,-1,4,-1]],[[
1,1,2,1,1,1,2,-2],[1,1,3,-1,1,1,3,2,1,-1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[1,1,2,2,1,-1,2,1],[5,1,4,1,5,-1,4,2,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[1,1,2,2,1,-1,2,1],[4,3,5,-1,4,-1,5,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[
1,1,2,2,1,-1,2,1],[4,-1,5,1,4,1,5,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,
1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,6,1,5,2,3,1]],[[1,1,2,-1,1,1,2,1,
1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,5,1,3,1,6,2,5,
1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,1,2,1,1,
1,2,-2],[1,-1],[1,1,3,1,4,1,3,1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,
1,-1,3,2,1,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[5,2,4,1,3,
1,4,-1,5,-2]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1,4,-1,3,1,4,
1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,
-1,3,1,1,1,3,-1,1,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,
-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,7,-2,6,-1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,3,3,1,5,1,3,1]],[[1,-1],[3,
1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,3,1,5,1,3,1]],[[1,1,
2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1,3,1,5,
-1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,-1,1,-1,3,1,1,1,3,1]],[[1,1,2,1,1,1,2,
-2],[1,1,3,-1,1,-1,3,1,1,1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,1,3,-1]],[[
1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,1,3,1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,2,3,1,4,-1,5,-1,4,-1,5,-1]],[[1,1,2,2,
1,-1,2,1,1,1],[3,-1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,-1,1,1,2,1,
1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2],[6,1,3,1,5,1,6,1,5,1,3,1]],[[
1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,
6,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,
5,-2,3,1,5,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,
1,4,1],[4,1,3,1],[5,1,4,1,6,2,5,-1,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,
1,2,2,1,-1,2,1,1,1],[3,1,4,2,3,1,4,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,
2,2,1,-1,2,1,1,1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,4,-1,5,2,6,-1]]],[[[1,1,2,-1,
1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-1,6,
-2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,
1,3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,
1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1],[6,1,3,1,5,
1,6,-1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,
1,3,1,5,2,3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,
1]]],[[[1,1,2,-2],[1,-1,2,-1,1,1,2,1,3,1],[4,-4,3,1]],[[1,1,2,-2]]],[[[1,1,2,
1,1,1,2,-2],[1,-1],[3,1,1,-1,3,1],[5,1,4,-1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[3,
1,1,1,3,2,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,2]],[[1,1]]],[[[1,
-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1],[5,1,4,-2,3,1,4,2,5,-1]],[[1,1,
2,1,1,1,2,-2],[1,-1,2,1,1,1,2,-1,3,1],[4,2,3,1,4,1]],[[1,-1,2,1,1,1,2,-1],[1,
1,2,1,1,1,2,-2],[4,1,3,1,4,2,3,1,4,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-3]],[[1,1,2,-1,1,1,2,1,1,1],[
1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]],[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2]]],[[[1,1,2,-2],[1,
-1,2,-1,1,1,2,1,3,1],[3,2,4,2]],[[1,-1,2,-1,1,1,2,1]],[[1,-1,2,-1,1,1,2,1],[1,
1,2,-2],[3,1,4,-2,3,1,4,2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,
5,2,4,1,3,1,5,-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[
1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[
1,-1],[4,1,3,-1,1,1,3,1,4,1,3,1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,2,1,-1,
3,2]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1,
1,1,2,-2],[1,-1],[4,1,3,-1,1,1,3,1,4,1,3,1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,
1,3,1],[3,1,1,-1,3,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,
1],[5,1,4,1,3,1,5,1,4,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,
1,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,1,5,1]],[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,1]],[[1,-1],[3,1,
1,1,2,-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,1,2,-2],[1,-1,2,-1,1,1,2,
1,3,1],[3,2,4,2,3,1]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,
1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[
1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,2,5,3,3,1,4,-1]],[[1,-1,2,
1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,-2,3,1,4,2]],[[1,-1,2,1,1,1,2,-1],[1,1,
2,1,1,1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,
-2],[4,2,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,
1],[3,1,4,-1,5,-2,4,-1]],[[1,-1,2,-1,1,1,2,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,
-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[4,1,5,4]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,1]],[[1,1,2,-1,1,1,2,1,
1,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[5,2,
4,1,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,
1,5,-1,3,1,5,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,
-1],[5,2],[6,1,3,1,5,1,6,1,5,1,3,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,
2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,1,5,2,6,1]],[[1,-1],[
3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[5,1,4,1,5,3]]],[[[1,
1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,
1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,
-1,3,1,5,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,1],[4,1,5,2,4,1,3,1,5,
-1]],[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-2,3,1,4,2]],[[1,-1,2,-1,1,1,2,
1],[1,1,2,-2],[4,1,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,2,1,
1,3,-1,1,1,3,-1,4,-1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,2,1,-1]]],[[[1,1,2,1,1,
1,2,-2],[1,-1],[1,1,3,1],[5,1,3,1,4,1,3,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[3,1,
1,1,3,1,1,-1,3,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,
2],[6,-2,5,1,6,1,5,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[5,2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[6,1,5,
-1,4,-1,5,-1,6,1,5,-1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[
4,2],[6,-2,5,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,
5,1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,-2,5,
-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,2,4,3]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2,4,2]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,5,1,4,-1]]],[[[1,1,2,2,1,-1,2,1,1,
1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,2,
1,-1,2,1,1,1],[3,1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,1,4,2]],[[1,1,2,2,1,-1,2,
1,1,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,2,3,2,4,2]]],[[[1,1,2,1,1,1,2,
-2],[1,-1],[4,1,3,-2,1,-1,3,1,1,-1,3,1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,
3,1,4,1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,1,3,-1]]],[[[1,1,2,
1,1,1,2,-2],[1,1,3,1],[1,-1,3,2,4,1,3,1,1,-1,3,-1,4,1]],[[1,1,2,1,1,1,2,-2],[
1,-1],[1,1,3,1],[5,1,4,1,3,1,5,1,4,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,
3,2,1,1,3,-1,1,-1]]],[[[1,1,2,1,1,1,2,-2],[1,-1,3,1,1,1,3,2,1,-1,3,1]],[[1,1,
2,1,1,1,2,-2],[1,1,3,1],[4,1,3,1,1,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[1,1,2,2,1,-1,2,1],[5,2],[4,2,6,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,
2,2,1,-1,2,1],[4,-1,5,1,4,-1,5,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[3,
1,5,1,4,1,5,1,4,1,3,2]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,1,3,1,5,1,
4,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,2,4,
-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,1,6,-1]],[[1,-1],[3,1,1,1,2,
-2,1,-1,2,-1,3,-1],[4,4]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1,1,1,3,2,1,1]],[[
1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,
1,1,-1],[4,1,5,-2,4,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,2,1,1,3,-2,4,
1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,-2,1,-1,3,2]]],[[[1,1,2,2,1,-1,2,1,1,1],[3,1,
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[3,2,4,1,3,1,4,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1,4,1],[4,1,3,1,5,-2]]],[[[2,1,1,1,2,1,1,
1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[4,2,3,1,5,2,4,2]],[[2,1,1,
1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,1],[3,1,4,-2,5,1,3,1,5,
-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,1,3,1],[3,1,4,-1,5,-2,4,-1]],[[1,-1,
2,-1,1,1,2,1,1,1,2,-2],[3,-2]],[[1,1,2,-2],[3,1,1,-1,2,-1,1,1,2,1,3,-1]]],[[[
1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,1,3,1,5,1,4,1,3,1]],[[1,1,2,1,1,1,2,
-2],[1,1,3,1],[3,1,1,-1,3,-1],[5,1,4,1,5,1,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,
1],[3,1,1,-1,3,-1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,
1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1],[6,1,5,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,1,1,1],[
1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,1]],[[1,-1],[3,1,1,1,2,
-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,
-1],[4,2],[5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,
-1,4,-1],[5,1,3,1,5,-2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,
-2,1,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,1,6,-2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,
2,1,1,1,2,-2],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,
1,1,1,2,-2],[4,3,3,1,4,1,3,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,
1],[6,1,5,1,6,1,5,3,3,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,
-1,4,-1],[5,1,3,1,5,-1,3,1,5,-1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,
2],[5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,
-1],[5,1,3,1,5,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[
1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]]],[[[1,-1],[3,1,1,1,2,
-2,1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,
1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,-2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,2,3,1,6,1,5,2]],[[1,
1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,1,6,
-2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,5,
-2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,
3,1,5,1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,
1,1,3,-2,4,1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,1,5,1,
4,1,5,1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,1,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-2,6,-2]],[[1,
-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,3]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,
1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,3,3,1,5,-1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,
-1,3,-1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,1,3,1,4,1]],[[1,1,2,
1,1,1,2,-2],[1,1,3,-1,1,-1,3,1,1,1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
1],[5,1,4,1,5,1,3,1,5,-1]],[[2,2,1,-1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,1,
1,-1,3,1,1,1,3,1,4,1,3,1,1,-1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,-1,4,3,3,
1]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,
1,-1,3,1,4,1,1,-1,3,-2,4,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,1,-1,3,-1],[5,
1,4,1,5,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,2,1,-1]],[[1,1,2,1,1,1,2,
-2],[1,1,3,1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,2]],[[1,1,2,
1,1,1,2,-2],[1,1,3,2,1,-1,3,-1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,-1,1,-1,3,
2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,
1,3,-1,1,-1,3,-1,4,1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,1,1,1,3,2]]],[[[1,
1,2,-2],[3,1,1,-1,2,-1,1,1,2,1],[4,2,3,-2]],[[1,-1,2,-1,1,1,2,1,1,1,2,
-2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[4,-2,3,1,4,1,3,1]],[[1,-1,2,-1,1,1,2,
1,1,1,2,-2],[3,-2]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,-1,3,1,4,1,3,
1]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2],[3,-2]],[[1,1,2,-2],[3,1,1,-1,2,-1,1,1,2,1,
3,-1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[3,2,
1,1,3,2,1,-1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,
4,1],[5,2,4,1,5,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,1,3,1,5,-1]]],[[[1,1,2,-1,1,1,2,
1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,1,5,2,6,
1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[5,1,4,1,
5,3]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,
-1,2,1],[5,1,4,3,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,
2,4,2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,3,2,-1,1,1,2,-2,1,-1,4,-1]],[[1,
1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,-2,5,-2]]],[[[1,1,2,1],[3,1,
1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,2],[6,-2,5,2]],[[1,1,2,1],[3,1,1,-1,2,
-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,3,4,-1,5,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[1,1,2,2,1,-1,2,1],[4,2],[5,-1,6,1,5,-1,6,1]]],[[[1,1,2,2,1,-1,2,1,1,1],[
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,2,3,2,4,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1],[3,1,4,-1,5,-2]],[[1,1,2,2,1,-1,2,1,1,
1],[3,1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,-1]]],[[[1,1,2,2,1,-1,2,1,1,1],[2,1,1,
1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1],[4,1,5,1,4,1,5,-1,3,1,4,1]],[[1,
1,2,2,1,-1,2,1,1,1],[3,-1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,-1,1,
1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1],[5,1,6,2,5,1,3,
1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,1,
3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1],[
4,-1,5,1,4,2]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,-2,1,-1,3,2,1,1]],[[1,1,2,1,1,1,2,
-2],[3,2,1,1,3,-1,1,-1]],[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,-1]]],[[[1,1,2,1,1,1,
2,-2],[1,-1],[4,1,3,-1,1,1,3,-2,1,-1,3,-1,4,-1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,
1,1,-1,3,-1,1,1,3,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1],[1,-1,4,2]],[[1,1,2,
1,1,1,2,-2],[3,2,1,1,3,-1,1,-1,3,-1]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1],[1,
-1,4,-2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,
5,1],[6,2,5,1,3,1,6,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,
2,2,1,-1,2,1,1,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,4]],[[1,1,2,2,1,-1,2,1,1,
1],[3,1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,-1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,
1,1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,5,-1,6,1,4,1,6,1,5,-1]],[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[4,1,3,1,4,2,3,1,4,-2,3,1,4,1]]],[[[1,1,2,1,1,1,2,-2],[
3,2,1,-1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,-1,1,1,
2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,3,3,1,5,-1]],[[1,
-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,4]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,
1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-1,6,-2]]],[[[1,1,2,-1,1,1,2,1,
1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,1,3,1,5,-1,6,-1,5,
-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,1]]],[[[1,
1,2,1,1,1,2,-2],[1,-1],[4,1,3,2,1,1,3,-1,1,1,3,-1,4,-1]],[[1,1,2,1,1,1,2,-2],[
3,2,1,1,3,2,1,-1]],[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-2,1,-1,3,1,1,-1,3,1,4,
-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,
1],[6,1,5,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,
4,-1],[5,1,3,1,5,2,3,1,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,
-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,
-2],[3,1,4,1],[3,1,4,-1,5,2,4,1]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,
1,4,2,3,1,4,-2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,
-1],[5,2,3,1,5,-1,3,1,5,2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1],[6,1,5,-1,3,1,6,1]],[[1,1,2,
-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1],[6,1,5,-1,3,1,
6,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[4,1,3,1,4,2,3,1,4,1]],[[1,-1,
2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,-1,3,1,4,1]]],[[[1,-1],[3,1,1,1,2,-2,
1,-1,2,-1,3,-1],[4,2],[5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,
2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,
2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,2,4,2]],[[1,1,2,1],[3,1,1,-1,
2,-1,3,-1],[4,1,2,-1,1,1,2,-2,1,-1]]],[[[1,-1,2,-1,1,1,2,1],[1,1,2,-2],[3,1,4,
-1,3,1,4,2,3,1]],[[1,1,2,-2]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1,1,-1,3,
1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[3,1,4,2]],[[1,1]]],[[[1,-1,2,1,1,1,2,-1],[
1,1,2,1,1,1,2,-2],[3,1,4,-2,3,1,4,2,3,1,4,2],[5,3]],[[1,-1,2,1,1,1,2,-1],[1,1,
2,1,1,1,2,-2],[3,1,4,1],[4,1,3,1,4,-1],[5,1,6,1,5,1,6,1]]],[[[1,1,2,-1,1,1,2,
1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,1]],[[1,-1],[
3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,4]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,
2,1,1,4,-1],[5,3],[1,-1,2,2,1,-1,2,1,1,1,2,1],[7,1,6,-1,7,1,6,-1]],[[1,-1,2,2,
1,-1,2,1,1,1,2,1],[3,2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,
1,1],[4,2,3,1,4,-1,3,1,4,-1]],[[1,1,2,2,1,-1,2,1,1,1],[2,1,1,1,2,1,1,1,2,-1,1,
1,2,-1,3,-3]]],[[[1,1,2,1,1,1,2,-2],[1,-1],[4,1,3,-1,1,-1,3,-1,4,1,3,2,1,
1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,1,3,1],[5,1,4,1,3,1,5,1,4,1]]],[[[1,1,2,1,1,
1,2,-2],[1,1,3,1],[3,1,1,-1,3,2,4,1,1,-1,4,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[1,
1,3,1],[5,1,4,1,3,1,5,1,4,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,-1],[3,1,1,1,3,1],[4,
1,5,1,4,1,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1,4,1],[5,
-2,4,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,1,1,1,2,2,1,-1,2,1,4,2]]],[[[1,1,
2,-2],[3,1,1,-1,2,-1,1,1,2,1,3,-1]],[[1,-1,2,-1,1,1,2,1,1,1,2,-2]]],[[[1,1,2,
1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,3,5,1]],[[1,1,2,1],[3,1,1,
-1,2,-1,3,-1],[4,3,2,-1,1,1,2,-2,1,-1,4,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[
1,1,2,2,1,-1,2,1],[5,2,4,2]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,
-1,1,1,2,1,1,1,4,1],[4,-1,5,1,4,2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,
-2,1,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,6,-2]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-1]]],[[[1,1,2,2,1,-1,2,1,1,
1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1],[3,1,4,-1,5,-2]],[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[4,1,3,1],[4,1,5,1,4,1,5,
-1,3,1,4,1]],[[1,1,2,2,1,-1,2,1,1,1],[3,1,2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,
-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1,
5,-2,3,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,
5,-1,3,1,5,3]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,1,1,1,3,2,1,1]],[[1,1,2,1,1,
1,2,-2],[1,1,3,-2,1,1,3,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,
2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,3,3,1,5,
-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2]],[[1,1,2,-1,1,1,2,1,1,1],[1,
-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,2,3,1,5,2]]],[[[1,1,2,1,1,1,2,-2],[1,
-1],[3,1,1,1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1,1,1,2,-2,1,1]]],[[[1,1,2,1,1,1,
2,-2],[1,-1],[4,1,3,-1,4,1,3,2,1,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1],[4,1,1,1,3,
1,4,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1],[1,1,2,2,1,-1,2,1,1,1],[3,1,4,-1,3,
1,4,-3]],[[1,1,2,2,1,-1,2,1,1,1],[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1,3,1],[4,-2,3,
1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[3,2,1,
1,3,1,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,3,-1]]],[[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[3,1,4,-1,3,1,4,-1,5,2]],[[1,-1,2,1,1,1,2,
-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,-1,5,2,4,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,
-1,2,1,1,1,2,-1,3,1],[3,-1,4,2,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,
1,2,-2,1,-1,2,-1,4,-1],[5,2,3,1],[6,1,5,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,
-1,3,1,5,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,2,1,1,2,2,1,-1,2,1]],[[1,1,
2,2,1,-1,2,1],[3,3]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,
2],[6,-2,5,1,6,1,5,-1,6,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,
1],[5,1,4,2,5,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,1,2,-1,1,1,2,-2,1,
-1]]],[[[1,1,2,1,1,1,2,-2],[1,1,3,3,1,-1,3,1]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,
3,1,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,1,1,-1,3,-1,1,1]]],[[[1,-1,2,1,1,1,
2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,1],[4,1,5,2,4,1,3,1]],[[1,-1,2,1,1,1,2,-1],[1,
1,2,1,1,1,2,-2],[3,1,4,2,3,1,4,-2]],[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[
3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,
5,3]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[1,1,2,2,1,-1,2,1],[5,1,4,-1,5,-1,4,
1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,
-1],[6,1,5,-1,3,1,6,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,-2]]],[[[1,1,
2,1,1,1,2,-2],[3,1,1,1,3,1,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,2,1,-1,3,
-2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,2,1,-1,2,1,1,1],[3,3,
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,2,1,-1,2,1,1,1],[3,1,2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1,3,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,1,2,2,1,1,4,-1],[5,
3]],[[1,-1,2,2,1,-1,2,1,1,1,2,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,
1,2,-1,1,1,2,1,1,1,4,1],[4,2,5,2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,-1,2,-1,1,1,
2,1],[1,1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,6,-1,5,1,3,1,6,1]],[[1,1,2,
-2],[3,2]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,4]],[[1,-1],[3,1,1,1,2,
-2,1,-1,2,-1,3,-1],[4,1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,
1,1,1,2,-2],[4,1,3,1,4,3,3,1]],[[1,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,-1],[1,1,2,2,1,-1,2,1],[4,1,5,1,4,-2,5,2]],[[1,1,2,1],[3,1,1,-1,2,-1,3,
-1],[4,1,2,-1,1,1,2,-2,1,-1]]],[[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,1,1,-1,3,
-1]],[[1,2,2,1,1,1,2,-2,1,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,
1,-1,2,-1,4,-1],[5,1,3,1],[6,1,5,-1,3,1,6,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[
4,1,1,1,2,-2,1,-1,2,-1,4,-1],[5,1,3,1,5,2,3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,
-1,2,-1,3,-1],[4,2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,
4,-1],[5,1,3,1,5,1,3,1,5,-1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,
1,1,2,1,1,1,4,-2]]],[[[1,-1,2,1,1,1,2,-1],[1,1,2,1,1,1,2,-2],[3,1,4,2,3,1,4,
-2]],[[1,1,2,1,1,1,2,-2],[3,1,1,-1,2,1,1,1,2,-1],[4,2,3,2]],[[1,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,-1,3,-1,1,-1]],[[1,1,2,1,1,1,2,-2],[1,-1,3,
1,1,1,3,1]],[[1,1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,1,6,2]],[[1,1,2,
-1,1,1,2,1,1,1],[1,-1],[4,1,1,1,2,-2,1,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,2]],[[1,
-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,2]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,2,1,
-1,3,-1,1,-1],[4,2]],[[1,1,2,1,1,1,2,-2],[1,-1,3,-2,1,1,3,1]]],[[[1,1,2,1,1,1,
2,-2],[3,1,1,-1,3,1,1,-1,3,1,1,-1,3,-1],[4,2]],[[1,1,2,1,1,1,2,-2],[1,1,3,-2,
1,-1,3,1]]],[[[1,-1,2,-1,1,1,2,1]],[[1,1,2,-2]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,
1,3,1,1,-1,3,2]],[[1,1,2,1,1,1,2,-2],[3,2,1,1,3,-1,1,1,3,-1]],[[1,1,2,1,1,1,2,
-2],[1,1,3,2,1,-1,3,-2]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,-1,1,-1,3,-1]],[[1,
1,2,1,1,1,2,-2],[1,1,3,-1,1,-1,3,1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[
1,1,2,-1,1,1,2,1,1,1,4,1],[4,1,5,2]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,
2,1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,
3,-1],[4,-1,1,1,2,2,1,-1,2,1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,1,2,-1,1,1,
2,-2,1,-1]]],[[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[1,1,2,-1,1,1,2,1,1,1,4,
1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1],[4,-2]]],[[[1,1,2,1,1,1,2,-2],[1,1,
3,1,1,-1,3,-1,1,1]],[[1,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[3,1,1,-1,2,-1,3,-1],[4,
1,1,1,2,2,1,-1,2,1]],[[1,1,2,2,1,-1,2,1],[3,2]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1],[3,1,1,1,2,2,1,-1,2,1,1,1,3,1]],[[1,1,2,2,1,-1,2,1,1,1]]],[[[1,1,2,-1,1,
1,2,1,1,1]],[[1,-1],[3,1,1,1,2,-2,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,
-1,3,-1]],[[1,1,2,2,1,-1,2,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,2,
1,-1,2,1,1,1]]],[[[1,1,2,1,1,1,2,-2],[3,1,1,1,3,-1,1,-1]],[[1,1,2,1,1,1,2,
-2]]],[[[1,-1,2,1,1,1,2,-1]],[[1,1,2,1,1,1,2,-2]]],[[[1,1]],[[1,1,2,1,1,1,2,
-2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "A11",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,3,9],[1,2,3,10],[1,2,3,
11],[1,2,3,12],[1,3,13],[1,2,14],[1,3,15],[1,2,16],[1,17],[1,18],[1,2,4,19],[
1,2,5,20],[1,3,4,21],[1,3,5,22],[1,3,5,23],[1,3,6,24],[1,3,6,25],[1,3,4,26],[
1,2,4,27],[1,2,5,28],[1,3,5,29],[1,3,6,30],[1,31],[1,3,9,32],[1,2,3,7,10,12,
33],[1,2,3,8,10,34],[1,2,3,9,10,12,35],[1,2,3,8,10,11,36],[1,2,3,10,11,12,13,
37],[1,2,7,8,14,38],[1,2,3,7,11,16,39],[1,2,3,11,12,14,40],[1,2,3,8,12,16,
41],[1,3,9,15,42],[1,2,3,8,12,14,43],[1,2,3,9,10,15,44],[1,2,3,11,12,16,45],[
1,3,13,15,46],[1,3,15,47],[1,2,3,10,15,48],[1,2,3,10,14,49],[1,3,9,15,50],[1,
2,3,10,16,51],[1,2,3,10,14,16,52],[1,3,15,53],[1,4,5,54],[1,6,55],[1,4,5,6,
56],[1,5,6,57],[1,6,58],[1,2,17,59],[1,3,17,60],[1,3,18,61],[1,2,17,62],[1,
63],[1,2,4,7,64],[1,2,5,8,65],[1,2,5,7,66],[1,2,6,7,67],[1,2,6,8,68],[1,3,5,9,
69],[1,3,6,9,70],[1,3,6,13,71],[1,2,4,7,27,72],[1,3,4,9,26,73],[1,2,5,7,28,
74],[1,2,3,4,10,26,27,75],[1,2,4,8,27,76],[1,2,3,4,12,26,27,77],[1,2,3,5,11,
28,29,78],[1,2,4,14,27,79],[1,2,4,16,27,80],[1,2,5,16,28,81],[1,2,4,8,19,27,
82],[1,2,3,4,11,19,21,26,83],[1,2,3,4,11,21,27,84],[1,2,3,5,11,22,28,85],[1,3,
5,13,22,23,29,86],[1,2,3,4,12,21,27,87],[1,3,4,13,21,26,88],[1,2,3,4,10,19,21,
27,89],[1,2,3,5,12,20,22,29,90],[1,2,3,5,12,23,28,91],[1,2,3,5,10,20,23,28,
92],[1,3,6,13,24,25,30,93],[1,3,4,15,26,94],[1,2,4,14,27,95],[1,2,5,16,28,
96],[1,2,31,97],[1,3,31,98],[1,4,17,99],[1,5,17,100],[1,2,3,7,9,10,12,33,35,
101],[1,2,3,7,8,10,11,12,13,33,36,37,102],[1,2,3,8,10,11,34,36,103],[1,2,3,8,
9,10,12,15,34,35,44,48,104],[1,2,3,7,8,10,12,14,33,34,38,43,49,105],[1,2,3,9,
10,12,15,32,35,42,44,50,106],[1,2,3,10,11,12,13,15,37,46,48,107],[1,2,3,8,9,
10,11,12,16,35,36,41,45,51,108],[1,2,3,9,10,11,12,13,14,16,35,37,40,45,52,
109],[1,2,3,7,10,11,12,13,16,33,37,39,45,51,110],[1,2,3,8,10,11,12,13,14,36,
37,40,43,49,111],[1,2,3,8,10,11,12,13,14,16,34,37,41,43,52,112],[1,2,3,7,8,10,
11,12,14,16,33,36,38,39,40,41,52,113],[1,2,3,9,10,12,14,35,49,114],[1,2,3,7,
10,12,14,15,33,48,49,115],[1,2,3,9,10,12,15,35,50,116],[1,2,3,8,10,16,34,51,
117],[1,2,3,8,10,11,15,16,36,48,51,118],[1,2,3,10,11,12,13,14,16,37,49,51,
119],[1,2,3,9,10,15,42,44,47,48,50,120],[1,2,3,7,10,12,14,16,33,51,52,121],[1,
2,3,8,10,11,14,16,36,49,52,122],[1,2,3,10,14,15,16,48,52,123],[1,2,3,10,14,16,
49,51,52,124],[1,2,3,10,15,48,53,125],[1,3,13,15,46,47,53,126],[1,3,9,13,15,
42,46,53,127],[1,2,4,5,19,20,54,128],[1,3,6,24,55,129],[1,3,4,5,21,23,54,
130],[1,3,4,5,6,21,22,24,56,131],[1,3,5,6,23,25,57,132],[1,3,4,5,6,21,23,25,
56,133],[1,2,4,5,27,28,54,134],[1,3,4,5,6,26,29,30,56,135],[1,2,4,5,19,27,54,
136],[1,3,4,5,6,22,26,56,137],[1,3,5,6,22,30,57,138],[1,2,4,5,6,19,28,56,
139],[1,3,4,5,22,29,54,140],[1,2,4,5,6,20,27,56,141],[1,3,4,5,6,21,29,56,
142],[1,3,5,6,24,29,57,143],[1,3,6,25,30,55,144],[1,3,6,24,58,145],[1,2,16,17,
59,146],[1,2,14,17,59,147],[1,3,15,17,60,148],[1,3,15,18,61,149],[1,2,8,17,62,
150],[1,2,7,17,62,151],[1,2,3,11,17,60,62,152],[1,2,3,10,17,59,60,62,153],[1,
2,3,12,17,60,62,154],[1,2,14,17,62,155],[1,2,16,17,62,156],[1,5,31,157],[1,6,
31,158],[1,4,31,159],[1,3,4,9,26,32,73,160],[1,2,3,4,8,10,26,27,34,75,76,
161],[1,2,3,4,7,10,12,26,27,33,72,75,77,162],[1,2,3,4,9,10,12,26,27,35,73,75,
77,163],[1,2,5,7,8,14,20,38,65,164],[1,2,4,7,8,14,19,38,64,165],[1,2,3,4,7,11,
16,21,39,64,166],[1,2,5,7,8,14,20,38,66,167],[1,2,3,5,8,12,14,22,43,65,168],[
1,2,3,5,8,12,16,23,41,65,169],[1,2,3,5,9,10,15,20,44,69,170],[1,3,5,9,15,22,
42,69,171],[1,2,3,5,7,11,16,23,39,66,172],[1,2,3,6,7,11,16,24,39,67,173],[1,3,
6,13,15,24,46,71,174],[1,2,3,6,8,12,16,25,41,68,175],[1,2,3,6,8,12,14,24,43,
68,176],[1,2,4,7,8,14,19,27,38,72,79,82,177],[1,2,3,4,11,12,14,21,26,27,40,77,
79,84,178],[1,2,3,4,8,12,16,19,26,27,41,77,80,82,179],[1,2,3,4,7,11,16,21,27,
39,72,80,84,180],[1,2,3,4,8,12,16,21,27,41,76,80,87,181],[1,2,3,5,7,11,16,22,
28,39,74,81,85,182],[1,2,3,5,11,12,16,23,28,29,45,78,81,91,183],[1,2,3,4,8,12,
14,21,27,43,76,79,87,184],[1,2,3,4,11,12,16,21,26,27,45,77,80,84,185],[1,3,4,
15,26,47,94,186],[1,2,3,4,7,10,12,27,33,64,187],[1,2,3,5,7,10,12,28,33,66,
188],[1,2,3,5,8,10,29,34,65,189],[1,2,3,5,8,10,11,28,36,65,190],[1,2,3,6,8,10,
30,34,68,191],[1,3,5,9,29,32,69,192],[1,3,6,9,30,32,70,193],[1,2,3,4,10,15,26,
27,48,75,94,194],[1,2,3,4,10,14,26,27,49,75,95,195],[1,3,4,9,15,26,50,73,94,
196],[1,2,3,4,8,10,11,19,21,27,36,76,84,89,197],[1,2,3,4,8,10,11,19,21,26,27,
36,75,82,83,84,89,198],[1,2,3,4,7,10,12,19,21,27,33,72,87,89,199],[1,2,3,4,8,
10,19,21,27,34,76,82,89,200],[1,2,3,4,10,11,12,13,21,26,27,37,75,84,87,88,
201],[1,2,3,4,10,11,12,13,19,21,26,27,37,77,83,87,88,89,202],[1,2,3,5,7,10,12,
20,23,28,33,74,91,92,203],[1,2,3,5,10,11,12,13,20,22,23,28,29,37,78,85,86,90,
92,204],[1,2,3,4,10,14,16,26,27,52,75,79,80,205],[1,2,3,4,10,16,26,27,51,75,
80,206],[1,3,4,9,15,26,42,73,94,207],[1,2,3,4,8,12,14,26,27,43,76,77,95,208],[
1,2,4,7,8,14,27,38,72,76,95,209],[1,2,3,4,9,10,15,26,27,44,73,75,94,210],[1,2,
3,5,7,11,16,28,29,39,74,78,96,211],[1,3,6,15,30,47,212],[1,3,6,15,30,47,213],[
1,3,5,15,29,47,214],[1,2,3,4,8,12,14,19,21,27,43,82,87,95,215],[1,2,3,4,11,12,
14,21,27,40,84,87,95,216],[1,3,4,13,15,21,26,46,88,94,217],[1,2,3,5,11,12,16,
22,23,28,45,85,91,96,218],[1,2,3,4,10,14,16,19,21,27,52,80,89,95,219],[1,2,3,
4,10,14,19,21,27,49,79,89,95,220],[1,2,3,5,10,16,20,23,28,51,81,92,96,221],[1,
3,4,15,26,53,94,222],[1,17,18,223],[1,4,5,6,54,56,57,224],[1,5,6,55,57,225],[
1,5,6,57,58,226],[1,2,7,31,97,227],[1,2,3,11,31,97,98,228],[1,2,16,31,97,
229],[1,2,4,17,27,59,99,230],[1,2,5,17,28,59,100,231],[1,3,4,17,21,60,99,
232],[1,3,5,17,23,60,100,233],[1,2,4,17,19,62,99,234],[1,2,5,17,20,62,100,
235],[1,2,3,8,9,10,12,15,32,34,35,42,44,47,48,50,104,106,120,236],[1,2,3,7,9,
10,12,15,32,33,35,42,44,50,101,106,116,237],[1,2,3,7,8,9,10,12,14,15,33,34,35,
38,43,44,48,49,101,104,105,114,115,238],[1,2,3,8,9,10,11,12,15,16,34,35,36,41,
44,45,48,51,103,104,108,117,118,239],[1,2,3,7,8,10,11,12,13,14,15,16,33,36,37,
39,40,43,45,46,48,49,51,102,107,110,111,115,118,119,240],[1,2,3,8,9,10,12,15,
34,35,44,48,50,104,116,241],[1,2,3,9,10,12,14,15,32,35,42,44,49,50,106,114,
116,242],[1,2,3,8,9,10,12,15,16,34,35,44,48,51,104,117,243],[1,2,3,7,8,9,10,
11,12,13,14,16,33,35,36,37,38,39,40,41,45,51,52,101,102,108,109,110,113,121,
244],[1,2,3,7,8,10,11,12,13,14,16,33,34,36,37,38,39,40,41,43,49,52,102,103,
105,111,112,113,122,245],[1,2,3,8,9,10,11,12,13,14,15,16,34,35,37,40,41,43,44,
45,46,48,52,104,107,109,112,123,246],[1,2,3,8,9,10,12,15,34,35,44,48,53,104,
125,247],[1,2,3,8,9,10,11,12,13,14,16,35,36,37,40,41,43,45,49,51,52,108,109,
111,114,119,122,124,248],[1,2,3,7,8,10,11,12,13,14,16,33,34,37,38,39,41,43,45,
49,51,52,105,110,112,117,119,121,124,249],[1,2,3,9,10,11,12,13,15,37,42,44,46,
47,48,50,53,107,120,125,126,127,250],[1,2,3,9,10,14,15,16,42,44,47,48,50,52,
53,120,123,125,251],[1,2,3,7,8,10,11,12,14,15,16,33,36,38,39,40,41,48,49,51,
52,113,115,118,121,122,123,124,252],[1,2,4,5,14,19,20,54,128,253],[1,2,4,5,16,
19,20,54,128,254],[1,3,6,15,24,55,129,255],[1,2,4,5,7,27,54,64,66,72,256],[1,
2,4,5,6,7,28,56,64,67,74,257],[1,2,5,6,7,28,57,66,67,74,258],[1,2,4,5,6,7,27,
56,66,67,72,259],[1,2,4,5,6,8,27,56,65,68,76,260],[1,3,4,5,6,9,26,56,69,70,73,
261],[1,2,4,5,7,27,28,54,72,74,134,262],[1,2,3,4,5,12,19,20,22,29,54,90,128,
140,263],[1,2,4,5,8,19,20,27,54,82,128,136,264],[1,2,3,4,5,6,11,19,21,22,24,
26,28,56,83,85,131,137,139,265],[1,3,4,5,6,13,21,22,23,25,26,29,56,86,88,133,
137,142,266],[1,3,5,6,13,22,23,24,25,29,30,57,86,93,132,138,143,267],[1,2,3,4,
5,10,19,21,23,27,54,89,130,136,268],[1,3,4,5,13,21,22,23,29,54,86,130,140,
269],[1,2,3,4,5,6,10,19,20,21,23,25,27,28,56,89,92,133,139,141,270],[1,2,3,4,
5,6,12,20,21,22,24,27,29,56,87,90,131,141,142,271],[1,3,6,13,24,25,30,55,93,
129,144,272],[1,2,3,4,5,12,21,23,27,28,54,87,91,130,134,273],[1,2,3,4,5,10,19,
20,21,23,27,28,54,89,92,128,130,134,274],[1,3,4,5,6,13,21,22,23,24,25,26,29,
30,56,86,88,93,131,133,135,275],[1,2,4,5,16,27,28,54,81,96,134,276],[1,2,4,5,
14,27,28,54,79,95,134,277],[1,2,4,5,8,19,27,28,54,76,82,134,136,278],[1,2,3,4,
5,11,22,27,28,29,54,78,85,134,140,279],[1,2,3,4,5,6,11,19,21,26,28,29,30,56,
78,83,135,139,142,280],[1,2,3,4,5,6,12,20,22,26,27,29,30,56,77,90,135,137,141,
281],[1,2,3,7,10,12,17,33,59,60,62,151,153,154,282],[1,2,3,8,10,11,17,36,59,
60,62,150,152,153,283],[1,2,3,8,12,16,17,41,60,62,150,154,156,284],[1,2,3,7,
11,16,17,39,60,62,151,152,156,285],[1,2,3,10,16,17,51,59,60,62,146,153,286],[
1,2,3,10,14,17,49,59,60,62,147,153,287],[1,2,3,10,15,17,48,59,60,62,148,153,
288],[1,2,3,10,14,16,17,52,59,60,62,146,147,153,289],[1,2,3,11,12,14,17,40,60,
62,152,154,155,290],[1,2,3,10,14,16,17,52,59,60,62,153,155,156,291],[1,2,7,8,
14,17,38,62,150,151,155,292],[1,2,5,28,31,97,157,293],[1,3,4,21,31,98,159,
294],[1,3,5,29,31,98,157,295],[1,4,5,17,54,99,100,296],[1,2,3,4,7,9,10,12,26,
27,33,35,72,73,75,77,101,162,163,297],[1,2,3,4,7,9,10,12,27,33,35,64,72,101,
187,298],[1,2,3,5,7,9,10,12,28,33,35,66,74,101,188,299],[1,2,3,5,7,8,10,11,12,
13,28,33,36,37,65,74,102,190,300],[1,2,3,4,7,8,10,11,12,13,27,33,36,37,64,76,
102,187,301],[1,2,3,5,8,10,11,28,29,34,36,65,78,103,189,190,302],[1,2,3,5,7,9,
10,12,33,35,66,69,101,303],[1,2,3,6,7,9,10,12,33,35,67,70,101,304],[1,2,3,6,7,
8,10,11,12,13,33,36,37,67,68,71,102,305],[1,2,3,4,8,10,11,19,21,26,27,34,36,
75,76,82,83,84,89,103,161,197,198,200,306],[1,2,3,4,7,8,10,11,12,13,19,21,26,
27,33,36,37,72,75,77,82,83,84,87,88,89,102,162,198,199,201,202,307],[1,2,3,4,
7,10,12,14,16,26,27,33,51,52,72,75,77,79,80,121,162,205,206,308],[1,2,3,4,7,8,
10,12,14,19,27,33,34,38,43,49,64,82,105,165,187,309],[1,2,3,5,7,8,10,12,14,20,
22,29,33,34,38,43,49,65,90,105,164,168,189,310],[1,2,3,4,7,8,10,11,12,14,16,
19,21,27,33,36,38,39,40,41,52,64,89,113,165,166,187,311],[1,2,3,5,8,10,11,12,
13,14,22,28,36,37,40,43,49,65,85,111,168,190,312],[1,2,3,5,7,8,10,11,12,14,16,
20,23,28,33,36,38,39,40,41,52,65,92,113,164,169,190,313],[1,2,3,5,8,10,11,12,
13,14,16,22,23,29,34,37,41,43,52,65,86,112,168,169,189,314],[1,2,3,4,7,10,11,
12,13,16,21,27,33,37,39,45,51,64,87,110,166,187,315],[1,2,3,5,8,9,10,11,12,16,
23,28,35,36,41,45,51,65,91,108,169,190,316],[1,2,3,5,9,10,12,15,20,22,29,32,
35,42,44,50,69,90,106,170,171,192,317],[1,2,3,5,7,10,11,12,13,16,23,28,33,37,
39,45,51,66,91,110,172,188,318],[1,2,3,5,7,8,10,11,12,14,16,20,23,28,33,36,38,
39,40,41,52,66,92,113,167,172,188,319],[1,2,3,6,8,10,11,12,13,14,16,24,25,30,
34,37,41,43,52,68,93,112,175,176,191,320],[1,2,3,4,7,10,12,14,15,27,33,48,49,
64,79,115,187,321],[1,2,3,5,8,10,11,15,16,28,36,48,51,65,81,118,190,322],[1,2,
3,4,8,10,16,26,27,34,51,75,76,80,117,161,206,323],[1,2,3,4,8,9,10,12,15,26,27,
34,35,44,48,73,75,76,77,94,104,161,163,194,210,324],[1,2,3,4,7,8,10,12,14,26,
27,33,34,38,43,49,72,75,76,77,95,105,161,162,195,208,209,325],[1,2,3,4,9,10,
12,15,26,27,32,35,42,44,50,73,75,77,94,106,160,163,196,207,210,326],[1,2,3,4,
10,11,12,13,15,21,26,27,37,46,48,75,84,87,88,94,107,194,201,217,327],[1,2,3,4,
8,10,11,12,13,14,19,21,26,27,36,37,40,43,49,75,82,83,84,87,88,89,95,111,195,
198,201,215,216,328],[1,2,3,4,10,14,15,16,26,27,48,52,75,79,80,94,123,194,205,
329],[1,2,3,4,10,14,16,26,27,49,51,52,75,79,80,95,124,195,205,206,330],[1,2,3,
4,9,10,12,14,26,27,35,49,73,75,77,95,114,163,195,331],[1,2,3,4,7,10,12,14,15,
26,27,33,48,49,72,75,77,94,95,115,162,194,195,332],[1,2,3,4,9,10,12,15,26,27,
35,50,73,75,77,94,116,163,196,333],[1,2,3,4,8,10,11,14,16,19,21,26,27,36,49,
52,75,79,80,82,83,84,89,95,122,195,198,205,219,220,334],[1,2,3,4,7,8,10,11,12,
14,16,19,21,26,27,33,36,38,39,40,41,52,72,75,77,79,80,82,83,84,89,113,162,177,
178,179,180,198,205,335],[1,2,3,4,8,10,11,12,13,14,16,21,26,27,34,37,41,43,52,
75,76,79,80,84,87,88,112,161,181,184,201,205,336],[1,2,3,4,7,10,11,12,13,16,
21,26,27,33,37,39,45,51,72,75,77,80,84,87,88,110,162,180,185,201,206,337],[1,
2,3,4,9,10,11,12,13,14,16,21,26,27,35,37,40,45,52,73,75,77,79,80,84,87,88,109,
163,178,185,201,205,338],[1,2,3,4,8,9,10,11,12,16,19,21,26,27,35,36,41,45,51,
73,75,77,80,82,83,84,89,108,163,179,185,198,206,339],[1,2,3,4,10,11,12,13,14,
16,21,26,27,37,49,51,75,80,84,87,88,95,119,195,201,206,340],[1,2,3,4,8,10,11,
15,16,19,21,26,27,36,48,51,75,80,82,83,84,89,94,118,194,198,206,341],[1,2,3,5,
8,10,11,14,16,28,36,49,52,65,96,122,190,342],[1,2,3,4,7,10,12,14,16,27,33,51,
52,64,95,121,187,343],[1,2,3,4,10,15,26,27,48,53,75,94,125,194,222,344],[1,2,
3,4,9,10,15,26,27,42,44,47,48,50,73,75,94,120,186,194,196,207,210,345],[1,2,3,
4,8,10,11,12,13,14,16,19,21,26,27,34,37,41,43,52,76,77,80,82,83,87,88,89,95,
112,179,181,200,202,208,215,219,346],[1,2,3,4,8,10,11,12,13,14,19,21,26,27,36,
37,40,43,49,76,77,79,83,84,87,88,89,95,111,178,184,197,202,208,216,220,347],[
1,2,3,4,7,8,10,11,12,14,16,19,21,27,33,36,38,39,40,41,52,72,76,80,84,87,89,95,
113,180,181,197,199,209,216,219,348],[1,2,3,4,7,8,10,12,14,19,21,27,33,34,38,
43,49,72,76,79,82,87,89,95,105,177,184,199,200,209,215,220,349],[1,2,3,5,7,10,
11,12,13,16,20,22,23,28,29,33,37,39,45,51,74,78,81,85,86,90,91,92,96,110,182,
183,203,204,211,218,221,350],[1,3,4,9,13,15,21,26,42,46,53,73,88,94,127,207,
217,222,351],[1,3,4,13,15,21,26,46,47,53,88,94,126,186,217,222,352],[1,3,6,13,
15,24,25,30,46,47,53,93,126,212,353],[1,3,6,13,15,24,25,30,46,47,53,93,126,
213,354],[1,3,5,13,15,22,23,29,46,47,53,86,126,214,355],[1,3,17,18,60,61,223,
356],[1,2,17,18,59,62,223,357],[1,3,4,5,6,21,23,25,54,56,57,130,132,133,224,
358],[1,2,4,5,6,19,20,27,54,56,57,128,136,141,224,359],[1,3,4,5,6,21,22,24,29,
54,56,57,131,140,142,143,224,360],[1,2,4,5,6,19,27,28,54,56,57,134,136,139,
224,361],[1,3,4,5,6,22,26,29,30,54,56,57,135,137,138,140,224,362],[1,3,5,6,22,
25,30,55,57,138,144,225,363],[1,3,5,6,23,25,30,55,57,132,144,225,364],[1,3,5,
6,24,29,55,57,129,143,225,365],[1,3,5,6,24,29,57,58,143,145,226,366],[1,18,63,
367],[1,3,9,31,32,368],[1,2,3,7,11,16,31,39,97,98,227,228,229,369],[1,2,4,7,
17,19,59,64,370],[1,2,5,8,17,20,59,65,371],[1,3,5,9,18,23,61,69,372],[1,3,6,
13,18,25,61,71,373],[1,3,6,13,18,25,61,71,374],[1,3,6,13,18,24,61,71,375],[1,
2,4,7,17,62,64,99,151,376],[1,2,5,8,17,62,65,100,150,377],[1,2,4,14,17,27,59,
79,99,147,230,378],[1,2,5,16,17,28,59,81,100,146,231,379],[1,2,5,16,17,28,59,
96,100,146,231,380],[1,2,4,14,17,27,59,95,99,147,230,381],[1,2,3,4,10,17,19,
21,27,59,60,62,89,99,153,230,232,234,382],[1,2,3,5,10,17,20,23,28,59,60,62,92,
100,153,231,233,235,383],[1,4,5,6,31,56,157,158,159,384],[1,2,3,8,9,10,11,12,
15,16,32,34,35,36,41,42,44,45,47,48,50,51,103,104,106,108,117,118,120,236,239,
243,385],[1,2,3,7,8,9,10,12,14,15,32,33,34,35,38,42,43,44,47,48,49,50,101,104,
105,106,114,115,116,120,236,237,238,241,242,386],[1,2,3,7,8,9,10,11,12,13,14,
15,16,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,101,102,103,104,105,
107,108,109,110,111,112,113,114,115,117,118,119,121,122,123,124,238,239,240,
244,245,246,248,249,252,387],[1,2,3,8,9,10,11,12,15,16,34,35,36,41,44,45,48,
50,51,53,103,104,108,116,117,118,125,239,241,247,388],[1,2,3,7,8,9,10,12,14,
15,16,33,34,35,38,43,44,48,49,51,53,101,104,105,114,115,117,125,238,243,247,
389],[1,2,3,8,9,10,11,12,13,14,15,16,32,34,35,37,40,41,42,43,44,45,46,47,48,
50,52,53,104,106,107,109,112,120,123,125,126,127,236,246,247,250,251,390],[1,
2,3,8,9,10,11,12,13,14,15,16,34,35,37,40,41,43,44,45,46,48,50,51,52,104,107,
109,112,116,117,123,241,243,246,391],[1,2,4,5,7,8,14,19,20,27,38,54,64,66,72,
79,82,128,165,167,177,256,392],[1,2,3,4,5,7,11,16,21,23,27,39,54,64,66,72,80,
84,130,166,172,180,256,393],[1,2,3,4,5,6,7,11,16,21,22,24,28,39,56,64,67,74,
81,85,131,166,173,182,257,394],[1,2,3,4,5,6,8,12,16,21,23,25,27,41,56,65,68,
76,80,87,133,169,175,181,260,395],[1,2,3,4,5,6,8,12,14,21,22,24,27,43,56,65,
68,76,79,87,131,168,176,184,260,396],[1,2,3,4,5,7,10,12,19,20,21,23,27,28,33,
54,72,74,87,89,91,92,128,130,134,199,203,262,273,274,397],[1,2,3,4,5,7,10,12,
26,27,28,33,54,64,66,72,75,77,134,162,187,188,256,398],[1,2,3,4,5,6,8,10,26,
27,29,30,34,56,65,68,75,76,135,161,189,191,260,399],[1,3,4,5,6,9,26,29,30,32,
56,69,70,73,135,160,192,193,261,400],[1,2,3,4,5,8,12,14,19,20,22,27,29,43,54,
82,90,128,136,140,253,263,264,401],[1,2,3,4,5,8,12,16,19,20,22,27,29,41,54,82,
90,128,136,140,254,263,264,402],[1,3,6,13,15,24,25,30,46,55,93,129,144,255,
272,403],[1,3,6,15,24,47,55,129,255,404],[1,2,4,5,7,8,14,19,27,38,54,64,66,72,
76,95,136,165,209,256,405],[1,2,4,5,6,7,8,14,20,27,38,56,65,68,72,76,95,141,
164,209,260,406],[1,2,3,4,5,6,8,12,14,22,26,27,43,56,65,68,76,77,95,137,168,
208,260,407],[1,2,3,4,5,6,7,11,16,21,28,29,39,56,64,67,74,78,96,142,166,211,
257,408],[1,2,3,5,6,7,11,16,24,28,29,39,57,66,67,74,78,96,143,173,211,258,
409],[1,2,3,4,5,6,9,10,15,20,26,27,44,56,69,70,73,75,94,141,170,210,261,410],[
1,3,4,5,6,9,15,22,26,42,56,69,70,73,94,137,171,207,261,411],[1,2,4,5,6,7,8,14,
20,27,38,56,66,67,72,76,95,141,167,209,259,412],[1,2,3,4,5,7,10,12,19,21,27,
33,54,64,66,72,87,89,136,187,199,256,413],[1,2,3,4,5,6,8,10,11,19,21,27,28,36,
56,65,68,76,84,89,139,190,197,260,414],[1,2,3,4,5,6,8,10,19,21,27,29,34,56,65,
68,76,82,89,142,189,200,260,415],[1,2,3,4,5,6,7,10,12,20,23,27,28,33,56,64,67,
74,91,92,141,187,203,257,416],[1,2,3,4,5,10,16,19,20,21,23,27,28,51,54,89,92,
128,130,134,254,274,417],[1,2,3,4,5,10,14,16,19,20,21,23,27,28,52,54,89,92,
128,130,134,253,254,274,418],[1,2,3,4,5,10,14,19,20,21,23,27,28,49,54,79,89,
92,95,128,130,134,220,274,277,419],[1,2,3,4,5,10,16,19,20,21,23,27,28,51,54,
81,89,92,96,128,130,134,221,274,276,420],[1,2,3,4,5,10,11,12,13,19,20,21,22,
23,27,28,29,37,54,78,85,86,89,90,92,128,130,134,140,204,263,269,274,279,421],[
1,2,3,4,5,8,10,19,20,21,23,27,28,34,54,76,82,89,92,128,130,134,136,200,264,
268,274,278,422],[1,2,3,4,5,6,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,
37,56,77,78,83,85,86,87,88,89,90,92,93,131,133,135,137,139,141,142,202,204,
265,266,270,271,275,280,281,423],[1,2,3,4,5,8,12,14,19,21,23,27,28,43,54,76,
79,82,87,91,95,130,134,136,184,215,273,277,278,424],[1,2,3,4,5,11,12,16,21,22,
23,27,28,29,45,54,78,81,85,87,91,96,130,134,140,183,218,273,276,279,425],[1,2,
3,4,5,7,11,16,22,27,28,29,39,54,72,74,78,81,85,96,134,140,182,211,262,276,279,
426],[1,2,4,5,7,8,14,19,27,28,38,54,72,74,76,79,82,95,134,136,177,209,262,277,
278,427],[1,3,4,5,6,15,26,29,30,47,56,94,135,186,212,213,214,428],[1,3,6,15,
24,53,55,129,255,429],[1,2,3,7,10,12,14,16,17,33,51,52,59,60,62,121,146,147,
151,153,154,282,286,289,430],[1,2,3,8,10,11,14,16,17,36,49,52,59,60,62,122,
146,147,150,152,153,283,287,289,431],[1,2,3,8,10,11,18,34,36,103,432],[1,2,3,
7,8,10,11,12,14,16,17,33,36,38,39,40,41,52,59,60,62,113,150,151,152,153,154,
155,156,282,283,284,285,290,291,292,433],[1,2,3,7,10,12,14,15,17,33,48,49,59,
60,62,115,147,148,151,153,154,282,287,288,434],[1,2,3,8,10,11,15,16,17,36,48,
51,59,60,62,118,146,148,150,152,153,283,286,288,435],[1,2,3,10,14,16,17,49,51,
52,59,60,62,124,146,147,153,155,156,286,287,291,436],[1,2,3,10,14,15,16,17,48,
52,59,60,62,123,146,147,148,153,155,156,288,289,291,437],[1,4,5,6,54,55,56,57,
58,224,225,226,438],[1,2,5,7,28,31,74,97,157,227,293,439],[1,2,4,7,31,64,97,
159,227,440],[1,2,6,7,31,67,97,158,227,441],[1,2,5,16,28,31,96,97,157,229,293,
442],[1,2,3,5,11,28,29,31,78,97,98,157,228,293,295,443],[1,2,4,5,17,19,20,54,
62,99,100,128,234,235,296,444],[1,2,4,5,17,27,28,54,59,99,100,134,230,231,296,
445],[1,3,4,5,17,21,23,54,60,99,100,130,232,233,296,446],[1,2,3,5,7,9,10,12,
15,22,32,33,35,42,44,50,66,69,101,106,116,171,237,303,447],[1,2,3,5,7,8,9,10,
12,14,15,20,33,34,35,38,43,44,48,49,66,69,101,104,105,114,115,167,170,238,303,
448],[1,2,3,6,7,8,10,11,12,13,14,15,16,24,33,36,37,39,40,43,45,46,48,49,51,67,
68,71,102,107,110,111,115,118,119,173,174,176,240,305,449],[1,2,3,4,8,9,10,12,
15,26,27,32,34,35,42,44,47,48,50,73,75,76,77,94,104,106,120,160,161,163,186,
194,196,207,210,236,324,326,345,450],[1,2,3,5,8,9,10,12,15,29,32,34,35,42,44,
47,48,50,65,69,104,106,120,189,192,214,236,451],[1,2,3,6,8,9,10,12,15,30,32,
34,35,42,44,47,48,50,68,70,104,106,120,191,193,212,213,236,452],[1,2,3,5,7,8,
9,10,11,12,13,14,16,20,23,28,33,35,36,37,38,39,40,41,45,51,52,65,74,91,92,101,
102,108,109,110,113,121,164,169,190,203,244,300,313,316,453],[1,2,3,4,7,8,9,
10,11,12,13,14,16,19,21,27,33,35,36,37,38,39,40,41,45,51,52,64,72,87,89,101,
102,108,109,110,113,121,165,166,187,199,244,298,311,315,454],[1,2,3,4,7,8,10,
11,12,13,14,16,19,21,27,33,34,36,37,38,39,40,41,43,49,52,64,76,82,89,102,103,
105,111,112,113,122,165,166,187,200,245,301,309,311,455],[1,2,3,5,7,8,9,10,11,
12,13,14,16,20,23,28,33,35,36,37,38,39,40,41,45,51,52,66,74,91,92,101,102,108,
109,110,113,121,167,172,188,203,244,299,318,319,456],[1,2,3,5,7,8,10,11,12,13,
14,16,20,22,23,28,29,33,34,36,37,38,39,40,41,43,49,52,65,78,85,86,90,92,102,
103,105,111,112,113,122,164,168,169,189,190,204,245,302,310,312,313,314,457],[
1,2,3,4,7,8,9,10,12,14,15,19,27,33,34,35,38,43,44,48,49,64,72,79,82,101,104,
105,114,115,165,177,187,238,298,309,321,458],[1,2,3,4,7,8,10,11,12,13,14,15,
16,21,27,33,36,37,39,40,43,45,46,48,49,51,64,76,79,87,102,107,110,111,115,118,
119,166,184,187,240,301,315,321,459],[1,2,3,5,8,9,10,11,12,15,16,23,28,29,34,
35,36,41,44,45,48,51,65,78,81,91,103,104,108,117,118,169,183,189,190,239,302,
316,322,460],[1,2,3,5,7,8,10,11,12,13,14,15,16,22,28,33,36,37,39,40,43,45,46,
48,49,51,65,74,81,85,102,107,110,111,115,118,119,168,182,190,240,300,312,322,
461],[1,2,3,4,7,8,9,10,11,12,13,14,16,19,21,26,27,33,35,36,37,38,39,40,41,45,
51,52,72,73,75,77,79,80,82,83,84,87,88,89,101,102,108,109,110,113,121,162,163,
177,178,179,180,185,198,199,201,202,205,206,244,297,307,308,335,337,338,339,
462],[1,2,3,4,7,9,10,12,15,26,27,32,33,35,42,44,50,72,73,75,77,94,101,106,116,
160,162,163,196,207,210,237,297,326,333,463],[1,2,3,4,7,8,9,10,12,14,15,26,27,
33,34,35,38,43,44,48,49,72,73,75,76,77,94,95,101,104,105,114,115,161,162,163,
194,195,208,209,210,238,297,324,325,331,332,464],[1,2,3,5,7,9,10,12,15,29,32,
33,35,42,44,50,66,69,101,106,116,192,237,303,465],[1,2,3,6,7,9,10,12,15,30,32,
33,35,42,44,50,67,70,101,106,116,193,237,304,466],[1,2,3,4,8,9,10,11,12,15,16,
19,21,26,27,34,35,36,41,44,45,48,51,73,75,76,77,80,82,83,84,89,94,103,104,108,
117,118,161,163,179,185,194,197,198,200,206,210,239,306,323,324,339,341,467],[
1,2,3,4,8,9,10,12,15,26,27,34,35,44,48,50,73,75,76,77,94,104,116,161,163,194,
196,210,241,324,333,468],[1,2,3,4,9,10,12,14,15,26,27,32,35,42,44,49,50,73,75,
77,94,95,106,114,116,160,163,195,196,207,210,242,326,331,333,469],[1,2,3,4,8,
9,10,11,12,13,14,15,16,21,26,27,34,35,37,40,41,43,44,45,46,48,52,73,75,76,77,
79,80,84,87,88,94,104,107,109,112,123,161,163,178,181,184,185,194,201,205,210,
217,246,324,327,329,336,338,470],[1,2,3,4,8,9,10,12,15,26,27,34,35,44,48,53,
73,75,76,77,94,104,125,161,163,194,210,222,247,324,344,471],[1,2,3,4,8,9,10,
12,15,16,26,27,34,35,44,48,51,73,75,76,77,80,94,104,117,161,163,194,206,210,
243,323,324,472],[1,2,3,4,7,8,10,11,12,13,14,15,16,19,21,26,27,33,36,37,39,40,
43,45,46,48,49,51,72,75,77,80,82,83,84,87,88,89,94,95,102,107,110,111,115,118,
119,162,180,185,194,195,198,199,201,202,206,215,216,217,240,307,327,328,332,
337,340,341,473],[1,2,3,5,7,8,10,11,12,13,14,16,28,29,33,34,36,37,38,39,40,41,
43,49,52,65,74,78,96,102,103,105,111,112,113,122,189,190,211,245,300,302,342,
474],[1,2,3,4,7,8,9,10,11,12,13,14,16,27,33,35,36,37,38,39,40,41,45,51,52,64,
72,76,95,101,102,108,109,110,113,121,187,209,244,298,301,343,475],[1,2,3,4,7,
8,10,11,12,13,14,16,19,21,26,27,33,34,36,37,38,39,40,41,43,49,52,72,75,76,77,
79,80,82,83,84,87,88,89,95,102,103,105,111,112,113,122,161,162,177,178,179,
180,181,184,195,197,198,199,200,201,202,205,208,209,215,216,219,220,245,306,
307,325,328,334,335,336,346,347,348,349,476],[1,2,3,4,7,8,10,11,12,13,14,16,
19,21,27,33,34,37,38,39,41,43,45,49,51,52,64,82,87,95,105,110,112,117,119,121,
124,165,166,187,215,249,309,315,343,477],[1,2,3,5,8,9,10,11,12,13,14,16,22,23,
28,35,36,37,40,41,43,45,49,51,52,65,85,91,96,108,109,111,114,119,122,124,168,
169,190,218,248,312,316,342,478],[1,2,3,5,7,8,10,11,12,14,15,16,20,23,28,33,
36,38,39,40,41,48,49,51,52,65,81,92,96,113,115,118,121,122,123,124,164,169,
190,221,252,313,322,342,479],[1,2,3,4,7,8,10,11,12,14,15,16,19,21,27,33,36,38,
39,40,41,48,49,51,52,64,79,89,95,113,115,118,121,122,123,124,165,166,187,220,
252,311,321,343,480],[1,2,3,4,7,8,10,11,12,14,15,16,19,21,26,27,33,36,38,39,
40,41,48,49,51,52,72,75,77,79,80,82,83,84,89,94,95,113,115,118,121,122,123,
124,162,177,178,179,180,194,195,198,205,206,219,220,252,308,329,330,332,334,
335,341,481],[1,2,3,4,9,10,11,12,13,15,21,26,27,37,42,44,46,47,48,50,53,73,75,
84,87,88,94,107,120,125,126,127,186,194,196,201,207,210,217,222,250,327,344,
345,351,352,482],[1,2,3,4,8,9,10,11,12,13,14,16,19,21,26,27,35,36,37,40,41,43,
45,49,51,52,73,75,77,79,80,82,83,84,87,88,89,95,108,109,111,114,119,122,124,
163,178,179,185,195,198,201,205,206,215,216,219,220,248,328,330,331,334,338,
339,340,483],[1,2,3,4,7,8,10,11,12,13,14,16,21,26,27,33,34,37,38,39,41,43,45,
49,51,52,72,75,76,77,79,80,84,87,88,95,105,110,112,117,119,121,124,161,162,
180,181,184,185,195,201,205,206,208,209,249,308,323,325,330,336,337,340,484],[
1,2,3,4,9,10,14,15,16,26,27,42,44,47,48,50,52,53,73,75,79,80,94,120,123,125,
186,194,196,205,207,210,222,251,329,344,345,485],[1,3,15,17,18,60,61,148,149,
223,356,486],[1,2,3,10,17,18,59,60,61,62,153,223,356,357,487],[1,3,15,17,18,
60,61,148,223,356,488],[1,2,4,5,6,8,19,20,27,54,56,57,82,128,136,141,224,264,
359,489],[1,2,3,4,5,6,12,19,20,21,22,24,27,29,54,56,57,87,90,128,131,136,140,
141,142,143,224,263,271,359,360,490],[1,2,4,5,6,7,27,28,54,56,57,64,66,67,72,
74,134,224,256,257,258,259,262,491],[1,2,4,5,6,14,19,20,27,54,56,57,95,128,
136,141,224,253,359,492],[1,2,3,4,5,6,12,19,20,22,26,27,29,30,54,56,57,77,90,
128,135,136,137,138,140,141,224,263,281,359,362,493],[1,2,3,4,5,6,11,19,21,22,
24,26,27,28,29,30,54,56,57,78,83,85,131,134,135,136,137,138,139,140,142,143,
224,265,279,280,360,361,362,494],[1,2,4,5,6,8,19,20,27,28,54,56,57,76,82,128,
134,136,139,141,224,264,278,359,361,495],[1,2,4,5,6,16,19,20,27,54,56,57,80,
128,136,141,224,254,359,496],[1,2,3,4,5,6,10,19,20,21,23,25,27,28,54,56,57,89,
92,128,130,132,133,134,136,139,141,224,268,270,274,358,359,361,497],[1,3,4,5,
6,13,21,22,23,24,25,26,29,30,54,56,57,86,88,93,130,131,132,133,135,137,138,
140,142,143,224,266,267,269,275,358,360,362,498],[1,3,5,6,13,22,23,24,25,29,
30,55,57,86,93,129,132,138,143,144,225,267,272,363,364,365,499],[1,2,3,4,7,11,
16,17,19,21,26,39,59,64,83,146,166,370,500],[1,2,4,7,8,14,17,19,27,38,59,64,
82,147,165,370,501],[1,2,3,5,8,12,14,17,20,22,29,43,59,65,90,147,168,371,
502],[1,3,6,13,15,18,24,25,30,46,61,71,93,149,174,373,503],[1,3,6,13,15,18,24,
25,30,46,61,71,93,149,174,374,504],[1,2,3,5,9,10,15,18,20,23,28,44,61,69,92,
149,170,372,505],[1,2,3,4,7,10,12,17,19,21,27,33,59,60,62,64,89,153,187,370,
506],[1,2,3,5,8,10,11,17,20,23,28,36,59,60,62,65,92,153,190,371,507],[1,2,3,4,
7,10,12,17,27,33,59,60,62,64,99,151,153,154,187,230,282,376,508],[1,2,3,5,8,
10,11,17,28,36,59,60,62,65,100,150,152,153,190,231,283,377,509],[1,2,4,7,8,14,
17,19,38,62,64,99,150,151,155,165,234,292,376,510],[1,2,5,7,8,14,17,20,38,62,
65,100,150,151,155,164,235,292,377,511],[1,2,3,4,7,11,16,17,21,39,60,62,64,99,
151,152,156,166,232,285,376,512],[1,2,3,5,8,12,16,17,23,41,60,62,65,100,150,
154,156,169,233,284,377,513],[1,2,3,4,10,14,17,19,21,27,49,59,60,62,79,89,95,
99,147,153,220,230,232,234,287,378,381,382,514],[1,2,3,5,10,16,17,20,23,28,51,
59,60,62,81,92,96,100,146,153,221,231,233,235,286,379,380,383,515],[1,3,4,5,6,
21,29,31,56,98,142,157,158,159,294,295,384,516],[1,2,3,7,8,9,10,11,12,13,14,
15,16,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,385,386,387,388,389,390,391,517],[1,2,3,4,5,7,9,10,12,27,
33,35,54,64,66,69,72,101,187,256,298,303,518],[1,2,3,4,5,6,7,9,10,12,27,28,33,
35,56,64,66,67,70,72,74,101,187,188,257,259,298,299,304,519],[1,2,3,5,6,7,9,
10,12,28,33,35,57,66,67,69,70,74,101,188,258,299,303,304,520],[1,2,3,4,5,6,7,
8,10,11,12,13,27,28,33,36,37,56,64,65,67,68,71,74,76,102,187,190,257,260,300,
301,305,521],[1,2,3,4,5,6,7,9,10,12,26,27,33,35,56,66,67,69,70,72,73,75,77,
101,162,163,259,261,297,303,304,522],[1,2,3,4,5,7,9,10,12,26,27,28,33,35,54,
64,66,72,73,74,75,77,101,134,162,163,187,188,256,262,297,298,299,398,523],[1,
2,3,4,5,7,10,12,14,16,19,20,21,23,27,28,33,51,52,54,72,74,87,89,91,92,121,128,
130,134,199,203,253,254,262,273,274,397,417,418,524],[1,2,3,4,5,7,10,11,12,13,
16,21,23,26,27,28,33,37,39,45,51,54,64,66,72,75,77,80,84,87,88,91,110,130,134,
162,166,172,180,185,187,188,201,206,256,273,315,318,337,393,398,525],[1,2,3,4,
5,7,8,10,11,12,14,16,19,20,21,23,26,27,28,33,36,38,39,40,41,52,54,64,66,72,75,
77,79,80,82,83,84,89,92,113,128,130,134,162,165,166,167,172,177,178,179,180,
187,188,198,205,256,274,311,319,335,392,393,398,526],[1,2,3,4,5,6,8,10,11,12,
13,14,16,21,22,23,24,25,26,27,29,30,34,37,41,43,52,56,65,68,75,76,79,80,84,86,
87,88,93,112,131,133,135,161,168,169,175,176,181,184,189,191,201,205,260,275,
314,320,336,395,396,399,527],[1,2,3,4,5,7,10,12,14,16,26,27,28,33,51,52,54,64,
66,72,75,77,79,80,95,121,134,162,187,188,205,206,256,277,308,343,398,528],[1,
2,3,4,5,7,10,12,14,15,26,27,28,33,48,49,54,64,66,72,75,77,79,94,95,115,134,
162,187,188,194,195,256,277,321,332,398,529],[1,2,3,4,5,7,8,10,11,12,13,19,21,
26,27,28,33,36,37,54,64,66,72,75,76,77,82,83,84,87,88,89,102,134,136,162,187,
188,198,199,201,202,256,278,301,307,398,413,530],[1,2,3,4,5,6,8,10,11,19,21,
26,27,28,29,30,34,36,56,65,68,75,76,78,82,83,84,89,103,135,139,142,161,189,
190,191,197,198,200,260,280,302,306,399,414,415,531],[1,2,3,4,5,7,8,10,12,14,
19,26,27,28,33,34,38,43,49,54,64,66,72,75,76,77,82,95,105,134,136,161,162,165,
187,188,195,208,209,256,278,309,325,398,405,532],[1,2,3,4,5,6,7,8,10,12,14,20,
22,26,27,29,30,33,34,38,43,49,56,65,68,72,75,76,77,90,95,105,135,137,141,161,
162,164,168,189,191,195,208,209,260,281,310,325,399,406,407,533],[1,2,3,4,5,6,
9,10,12,15,20,22,26,27,29,30,32,35,42,44,50,56,69,70,73,75,77,90,94,106,135,
137,141,160,163,170,171,192,193,196,207,210,261,281,317,326,400,410,411,534],[
1,2,3,4,5,8,10,16,19,20,21,23,27,28,34,51,54,76,81,82,89,92,96,117,128,130,
134,136,200,221,254,264,268,274,276,278,417,420,422,535],[1,2,3,4,5,10,11,12,
13,14,16,19,20,21,22,23,27,28,29,37,49,51,54,78,79,85,86,89,90,92,95,119,128,
130,134,140,204,220,254,263,269,274,277,279,417,419,421,536],[1,2,3,4,5,8,10,
11,12,13,14,16,19,20,21,22,23,27,28,29,34,37,41,43,52,54,76,78,82,85,86,89,90,
92,112,128,130,134,136,140,200,204,253,254,263,264,268,269,274,278,279,401,
402,418,421,422,537],[1,2,3,4,5,7,10,11,12,13,16,19,20,21,22,23,27,28,29,33,
37,39,45,51,54,72,74,78,81,85,86,87,89,90,91,92,96,110,128,130,134,140,182,
183,199,203,204,211,218,221,262,263,269,273,274,276,279,350,397,420,421,425,
426,538],[1,2,3,4,5,7,8,10,12,14,19,20,21,23,27,28,33,34,38,43,49,54,72,74,76,
79,82,87,89,91,92,95,105,128,130,134,136,177,184,199,200,203,209,215,220,262,
264,268,273,274,277,278,349,397,419,422,424,427,539],[1,2,3,4,5,7,8,10,11,12,
14,16,19,21,23,27,33,36,38,39,40,41,52,54,64,66,72,76,80,84,87,89,95,113,130,
136,165,166,172,180,181,187,197,199,209,216,219,256,268,311,348,393,405,413,
540],[1,2,3,4,5,6,8,10,11,12,13,14,16,19,21,22,23,25,26,27,29,34,37,41,43,52,
56,65,68,76,77,80,82,83,86,87,88,89,95,112,133,137,142,168,169,175,179,181,
189,200,202,208,215,219,260,266,314,346,395,407,415,541],[1,2,3,4,5,6,7,8,10,
11,12,14,16,19,20,21,23,25,27,28,33,36,38,39,40,41,52,56,65,68,72,76,80,84,87,
89,92,95,113,133,139,141,164,169,175,180,181,190,197,199,209,216,219,260,270,
313,348,395,406,414,542],[1,2,3,4,5,6,8,10,11,12,13,14,19,21,22,24,26,27,28,
36,37,40,43,49,56,65,68,76,77,79,83,84,85,87,88,89,95,111,131,137,139,168,176,
178,184,190,197,202,208,216,220,260,265,312,347,396,407,414,543],[1,2,3,4,5,6,
7,8,10,12,14,19,20,21,22,24,27,29,33,34,38,43,49,56,65,68,72,76,79,82,87,89,
90,95,105,131,141,142,164,168,176,177,184,189,199,200,209,215,220,260,271,310,
349,396,406,415,544],[1,2,3,4,5,7,8,10,12,14,19,20,21,27,33,34,38,43,49,54,64,
66,72,76,79,82,87,89,95,105,128,136,165,167,177,184,187,199,200,209,215,220,
256,264,309,349,392,405,413,545],[1,2,3,4,5,6,7,10,11,12,13,16,20,21,22,23,24,
27,28,29,33,37,39,45,51,56,64,67,74,78,81,85,86,87,90,91,92,96,110,131,141,
142,166,173,182,183,187,203,204,211,218,221,257,271,315,350,394,408,416,546],[
1,2,3,4,5,10,14,16,19,20,21,23,27,28,49,51,52,54,79,81,89,92,95,96,124,128,
130,134,220,221,253,254,274,276,277,418,419,420,547],[1,3,6,13,15,24,25,30,46,
47,53,55,93,126,129,144,255,272,403,404,429,548],[1,3,4,5,6,13,15,21,22,23,24,
25,26,29,30,46,47,53,56,86,88,93,94,126,131,133,135,186,212,213,214,217,222,
275,352,353,354,355,428,549],[1,2,3,8,9,10,11,12,15,16,18,34,35,36,41,44,45,
48,51,61,103,104,108,117,118,239,432,550],[1,2,3,7,8,10,11,12,14,15,16,17,33,
36,38,39,40,41,48,49,51,52,59,60,62,113,115,118,121,122,123,124,146,147,148,
150,151,152,153,154,155,156,252,282,283,284,285,286,287,288,289,290,291,292,
430,431,433,434,435,436,437,551],[1,3,4,5,6,21,23,25,30,54,55,56,57,58,130,
132,133,144,224,225,226,358,364,438,552],[1,3,4,5,6,22,25,26,29,30,54,55,56,
57,58,135,137,138,140,144,224,225,226,362,363,438,553],[1,3,4,5,6,21,22,24,29,
54,55,56,57,58,129,131,140,142,143,145,224,225,226,360,365,366,438,554],[1,2,
5,7,8,14,20,31,38,65,66,157,164,167,555],[1,3,5,9,15,22,31,42,69,157,171,
556],[1,3,4,9,26,31,32,73,159,160,368,557],[1,3,6,9,30,31,32,70,158,193,368,
558],[1,3,6,9,30,31,32,70,158,193,368,559],[1,3,5,9,29,31,32,69,157,192,368,
560],[1,2,3,4,7,11,16,21,31,39,64,97,98,159,166,227,228,229,294,369,440,561],[
1,2,3,5,7,11,16,28,29,31,39,74,78,96,97,98,157,211,227,228,229,293,295,369,
439,442,443,562],[1,2,4,5,7,17,19,27,54,59,64,66,72,99,136,230,256,370,563],[
1,2,4,5,6,7,17,19,28,56,59,64,67,74,100,139,231,257,370,564],[1,2,4,5,6,8,17,
20,27,56,59,65,68,76,99,141,230,260,371,565],[1,2,4,5,14,17,19,20,54,62,99,
100,128,155,234,235,253,296,444,566],[1,2,4,5,16,17,19,20,54,62,99,100,128,
156,234,235,254,296,444,567],[1,2,3,4,5,10,17,19,20,21,23,27,28,54,59,60,62,
89,92,99,100,128,130,134,153,230,231,232,233,234,235,274,296,382,383,444,445,
446,568],[1,2,4,5,14,17,27,28,54,59,79,95,99,100,134,147,230,231,277,296,378,
381,445,569],[1,2,4,5,16,17,27,28,54,59,81,96,99,100,134,146,230,231,276,296,
379,380,445,570],[1,2,3,4,8,9,10,11,12,15,16,19,21,26,27,32,34,35,36,41,42,44,
45,47,48,50,51,73,75,76,77,80,82,83,84,89,94,103,104,106,108,117,118,120,160,
161,163,179,185,186,194,196,197,198,200,206,207,210,236,239,243,306,323,324,
326,339,341,345,385,450,467,472,571],[1,2,3,5,7,8,9,10,12,14,15,20,22,29,32,
33,34,35,38,42,43,44,47,48,49,50,65,69,90,101,104,105,106,114,115,116,120,164,
168,170,171,189,192,214,236,237,238,241,242,310,317,386,451,572],[1,2,3,5,7,8,
9,10,12,14,15,20,22,29,32,33,34,35,38,42,43,44,47,48,49,50,66,69,90,101,104,
105,106,114,115,116,120,167,170,171,192,236,237,238,241,242,303,317,386,447,
448,465,573],[1,2,3,4,8,9,10,11,12,13,14,15,16,21,26,27,32,34,35,37,40,41,42,
43,44,45,46,47,48,50,52,53,73,75,76,77,79,80,84,87,88,94,104,106,107,109,112,
120,123,125,126,127,160,161,163,178,181,184,185,186,194,196,201,205,207,210,
217,222,236,246,247,250,251,324,326,327,329,336,338,344,345,351,352,390,450,
470,471,482,485,574],[1,2,3,4,7,8,9,10,12,14,15,26,27,32,33,34,35,38,42,43,44,
47,48,49,50,72,73,75,76,77,94,95,101,104,105,106,114,115,116,120,160,161,162,
163,186,194,195,196,207,208,209,210,236,237,238,241,242,297,324,325,326,331,
332,333,345,386,450,463,464,468,469,575],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,
19,21,26,27,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,72,73,75,76,77,
79,80,82,83,84,87,88,89,94,95,101,102,103,104,105,107,108,109,110,111,112,113,
114,115,117,118,119,121,122,123,124,161,162,163,177,178,179,180,181,184,185,
194,195,197,198,199,200,201,202,205,206,208,209,210,215,216,217,219,220,238,
239,240,244,245,246,248,249,252,297,306,307,308,323,324,325,327,328,329,330,
331,332,334,335,336,337,338,339,340,341,346,347,348,349,387,462,464,467,470,
473,476,481,483,484,576],[1,2,3,4,7,8,9,10,12,14,15,16,26,27,33,34,35,38,43,
44,48,49,51,53,72,73,75,76,77,80,94,95,101,104,105,114,115,117,125,161,162,
163,194,195,206,208,209,210,222,238,243,247,297,323,324,325,331,332,344,389,
464,471,472,577],[1,2,3,5,8,9,10,11,12,15,16,28,29,32,34,35,36,41,42,44,45,47,
48,50,51,65,69,78,103,104,106,108,117,118,120,189,190,192,214,236,239,243,302,
385,451,578],[1,2,3,5,8,9,10,11,12,13,14,15,16,22,23,29,32,34,35,37,40,41,42,
43,44,45,46,47,48,50,52,53,65,69,86,104,106,107,109,112,120,123,125,126,127,
168,169,189,192,214,236,246,247,250,251,314,355,390,451,579],[1,2,3,6,8,9,10,
11,12,13,14,15,16,24,25,30,32,34,35,37,40,41,42,43,44,45,46,47,48,50,52,53,68,
70,93,104,106,107,109,112,120,123,125,126,127,175,176,191,193,212,213,236,246,
247,250,251,320,353,354,390,452,580],[1,2,3,4,8,9,10,11,12,15,16,19,21,26,27,
34,35,36,41,44,45,48,50,51,53,73,75,76,77,80,82,83,84,89,94,103,104,108,116,
117,118,125,161,163,179,185,194,196,197,198,200,206,210,222,239,241,247,306,
323,324,333,339,341,344,388,467,468,471,581],[1,2,3,4,8,9,10,11,12,13,14,15,
16,21,26,27,34,35,37,40,41,43,44,45,46,48,50,51,52,73,75,76,77,79,80,84,87,88,
94,104,107,109,112,116,117,123,161,163,178,181,184,185,194,196,201,205,206,
210,217,241,243,246,323,324,327,329,333,336,338,391,468,470,472,582],[1,2,3,4,
7,8,9,10,11,12,13,14,15,16,19,21,27,33,34,35,36,37,38,39,40,41,43,44,45,46,48,
49,51,52,64,72,76,79,82,87,89,95,101,102,103,104,105,107,108,109,110,111,112,
113,114,115,117,118,119,121,122,123,124,165,166,177,184,187,199,200,209,215,
220,238,239,240,244,245,246,248,249,252,298,301,309,311,315,321,343,349,387,
454,455,458,459,475,477,480,583],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,20,22,23,
28,29,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,65,74,78,81,85,86,90,
91,92,96,101,102,103,104,105,107,108,109,110,111,112,113,114,115,117,118,119,
121,122,123,124,164,168,169,182,183,189,190,203,204,211,218,221,238,239,240,
244,245,246,248,249,252,300,302,310,312,313,314,316,322,342,350,387,453,457,
460,461,474,478,479,584],[1,3,15,17,18,53,60,61,148,149,223,356,486,585],[1,3,
15,17,18,53,60,61,148,149,223,356,486,586],[1,2,3,10,15,17,18,48,59,60,61,62,
148,149,153,223,288,356,357,486,487,488,587],[1,2,3,4,5,6,8,10,19,20,21,23,25,
27,28,34,54,56,57,76,82,89,92,128,130,132,133,134,136,139,141,200,224,264,268,
270,274,278,358,359,361,422,489,495,497,588],[1,2,3,4,5,6,10,11,12,13,19,20,
21,22,23,24,25,26,27,28,29,30,37,54,56,57,77,78,83,85,86,87,88,89,90,92,93,
128,130,131,132,133,134,135,136,137,138,139,140,141,142,143,202,204,224,263,
265,266,267,268,269,270,271,274,275,279,280,281,358,359,360,361,362,421,423,
490,493,494,497,498,589],[1,2,3,4,5,6,7,10,12,19,20,21,23,27,28,33,54,56,57,
64,66,67,72,74,87,89,91,92,128,130,134,136,141,187,199,203,224,256,257,258,
259,262,273,274,359,397,413,416,491,590],[1,2,3,4,5,6,8,12,14,19,20,22,26,27,
28,29,30,43,54,56,57,76,77,82,90,95,128,134,135,136,137,138,139,140,141,208,
224,253,263,264,278,281,359,361,362,401,492,493,495,591],[1,3,5,6,15,24,29,47,
55,57,129,143,214,225,255,365,404,592],[1,2,3,4,5,6,8,12,14,19,20,21,22,24,27,
29,43,54,56,57,82,87,90,95,128,131,136,140,141,142,143,215,224,253,263,264,
271,359,360,401,489,490,492,593],[1,2,3,4,5,6,8,12,16,19,20,21,22,24,27,28,29,
41,54,56,57,76,80,82,87,90,128,131,134,136,139,140,141,142,143,181,224,254,
263,264,271,278,359,360,361,402,490,495,496,594],[1,2,3,4,5,6,8,12,16,19,20,
22,26,27,29,30,41,54,56,57,77,80,82,90,128,135,136,137,138,140,141,179,224,
254,263,264,281,359,362,402,489,493,496,595],[1,2,3,4,5,6,10,14,16,19,20,21,
23,25,27,28,52,54,56,57,80,89,92,95,128,130,132,133,134,136,139,141,219,224,
253,254,268,270,274,358,359,361,418,492,496,497,596],[1,2,4,5,6,7,8,14,19,20,
27,28,38,54,56,57,64,66,67,72,74,76,79,82,95,128,134,136,141,165,167,177,209,
224,256,257,258,259,262,277,278,359,392,405,412,427,491,597],[1,2,3,4,5,6,7,
11,16,21,22,24,27,28,29,39,54,56,57,64,66,67,72,74,78,81,85,96,131,134,140,
142,143,166,173,182,211,224,256,257,258,259,262,276,279,360,394,408,409,426,
491,598],[1,2,3,4,7,9,10,12,17,19,21,27,33,35,59,60,62,64,72,87,89,101,151,
153,154,187,199,282,298,370,506,599],[1,2,3,4,7,8,10,11,12,13,17,19,21,27,33,
36,37,59,60,62,64,76,84,89,102,150,152,153,187,197,283,301,370,506,600],[1,2,
3,5,7,8,10,11,12,13,17,20,23,28,33,36,37,59,60,62,65,74,91,92,102,151,153,154,
190,203,282,300,371,507,601],[1,2,3,4,7,10,12,14,15,17,19,21,27,33,48,49,59,
60,62,64,79,89,95,115,148,153,187,220,288,321,370,506,602],[1,2,3,5,8,10,11,
15,16,17,20,23,28,36,48,51,59,60,62,65,81,92,96,118,148,153,190,221,288,322,
371,507,603],[1,2,3,4,7,10,11,12,13,16,17,19,21,26,27,33,37,39,45,51,59,60,62,
64,77,83,87,88,89,110,146,153,166,187,202,286,315,370,500,506,604],[1,2,3,4,7,
8,10,11,12,14,16,17,19,21,26,27,33,36,38,39,40,41,52,59,60,62,64,75,82,83,84,
89,113,146,147,153,165,166,187,198,289,311,370,500,501,506,605],[1,2,3,4,7,8,
10,12,14,17,19,21,27,33,34,38,43,49,59,60,62,64,76,82,89,105,147,153,165,187,
200,287,309,370,501,506,606],[1,2,3,5,8,10,11,12,13,14,17,20,22,23,28,29,36,
37,40,43,49,59,60,62,65,78,85,86,90,92,111,147,153,168,190,204,287,312,371,
502,507,607],[1,2,3,4,7,10,12,14,16,17,19,21,27,33,51,52,59,60,62,64,80,89,95,
121,153,155,156,187,219,291,343,370,506,608],[1,2,3,5,7,8,10,11,12,14,16,17,
20,23,28,33,36,38,39,40,41,52,59,60,62,65,92,100,113,150,151,152,153,154,155,
156,164,169,190,231,233,235,282,283,284,285,290,291,292,313,377,383,433,509,
511,513,609],[1,2,3,4,7,8,10,11,12,14,16,17,19,21,27,33,36,38,39,40,41,52,59,
60,62,64,89,99,113,150,151,152,153,154,155,156,165,166,187,230,232,234,282,
283,284,285,290,291,292,311,376,382,433,508,510,512,610],[1,2,3,4,7,10,12,14,
16,17,27,33,51,52,59,60,62,64,95,99,121,146,147,151,153,154,187,230,282,286,
289,343,376,381,430,508,611],[1,2,3,5,8,10,11,14,16,17,28,36,49,52,59,60,62,
65,96,100,122,146,147,150,152,153,190,231,283,287,289,342,377,380,431,509,
612],[1,2,3,4,7,10,12,14,15,17,27,33,48,49,59,60,62,64,79,99,115,147,148,151,
153,154,187,230,282,287,288,321,376,378,434,508,613],[1,2,3,5,8,10,11,15,16,
17,28,36,48,51,59,60,62,65,81,100,118,146,148,150,152,153,190,231,283,286,288,
322,377,379,435,509,614],[1,2,4,5,6,7,28,31,56,64,67,74,97,157,158,159,227,
257,293,384,439,440,441,615],[1,2,3,4,5,7,8,9,10,12,14,15,19,20,27,33,34,35,
38,43,44,48,49,54,64,66,69,72,79,82,101,104,105,114,115,128,165,167,170,177,
187,238,256,298,303,309,321,392,448,458,518,616],[1,2,3,4,5,6,7,8,10,11,12,13,
14,15,16,21,22,24,27,28,33,36,37,39,40,43,45,46,48,49,51,56,64,65,67,68,71,74,
76,79,81,85,87,102,107,110,111,115,118,119,131,166,168,173,174,176,182,184,
187,190,240,257,260,300,301,305,312,315,321,322,394,396,449,459,461,521,617],[
1,2,3,4,5,6,7,9,10,12,15,22,26,27,32,33,35,42,44,50,56,66,67,69,70,72,73,75,
77,94,101,106,116,137,160,162,163,171,196,207,210,237,259,261,297,303,304,326,
333,411,447,463,522,618],[1,2,3,4,5,6,7,8,9,10,12,14,15,20,26,27,33,34,35,38,
43,44,48,49,56,66,67,69,70,72,73,75,76,77,94,95,101,104,105,114,115,141,161,
162,163,167,170,194,195,208,209,210,238,259,261,297,303,304,324,325,331,332,
410,412,448,464,522,619],[1,2,3,4,5,7,9,10,12,15,22,27,29,32,33,35,42,44,50,
54,64,66,69,72,101,106,116,140,171,187,192,237,256,298,303,447,465,518,620],[
1,2,3,5,6,7,9,10,12,15,22,28,30,32,33,35,42,44,50,57,66,67,69,70,74,101,106,
116,138,171,188,193,237,258,299,303,304,447,466,520,621],[1,2,3,4,5,7,8,9,10,
11,12,13,14,16,19,20,21,23,26,27,28,33,35,36,37,38,39,40,41,45,51,52,54,64,66,
72,73,74,75,77,79,80,82,83,84,87,88,89,91,92,101,102,108,109,110,113,121,128,
130,134,162,163,165,166,167,172,177,178,179,180,185,187,188,198,199,201,202,
203,205,206,244,256,262,273,274,297,298,299,307,308,311,315,318,319,335,337,
338,339,392,393,397,398,454,456,462,523,525,526,622],[1,2,3,4,5,6,8,9,10,12,
15,26,27,29,30,32,34,35,42,44,47,48,50,56,65,68,69,70,73,75,76,77,94,104,106,
120,135,160,161,163,186,189,191,192,193,194,196,207,210,212,213,214,236,260,
261,324,326,345,399,400,428,450,451,452,623],[1,2,3,4,5,6,7,8,10,11,12,13,14,
16,19,21,27,28,29,33,34,36,37,38,39,40,41,43,49,52,56,64,65,67,68,71,74,76,78,
82,89,96,102,103,105,111,112,113,122,142,165,166,187,189,190,200,211,245,257,
260,300,301,302,305,309,311,342,408,415,455,474,521,624],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,16,20,23,27,28,33,35,36,37,38,39,40,41,45,51,52,56,64,65,67,68,
71,72,74,76,91,92,95,101,102,108,109,110,113,121,141,164,169,187,190,203,209,
244,257,260,298,300,301,305,313,316,343,406,416,453,475,521,625],[1,2,3,4,5,7,
8,9,10,11,12,13,14,16,19,21,27,33,35,36,37,38,39,40,41,45,51,52,54,64,66,69,
72,76,87,89,95,101,102,108,109,110,113,121,136,165,166,187,199,209,244,256,
298,301,303,311,315,343,405,413,454,475,518,626],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,16,20,23,27,28,33,35,36,37,38,39,40,41,45,51,52,56,64,66,67,70,72,74,76,
91,92,95,101,102,108,109,110,113,121,141,167,172,187,188,203,209,244,257,259,
298,299,301,304,318,319,343,412,416,456,475,519,627],[1,2,3,4,5,7,8,10,11,12,
13,14,15,16,19,21,23,26,27,28,33,36,37,39,40,43,45,46,48,49,51,54,64,66,72,75,
76,77,79,80,82,83,84,87,88,89,91,94,95,102,107,110,111,115,118,119,130,134,
136,162,166,172,180,184,185,187,188,194,195,198,199,201,202,206,215,216,217,
240,256,273,277,278,301,307,315,318,321,327,328,332,337,340,341,393,398,413,
424,459,473,525,529,530,628],[1,2,3,4,5,7,8,10,11,12,13,14,16,19,20,21,23,26,
27,28,33,34,36,37,38,39,40,41,43,49,52,54,64,66,72,75,76,77,79,80,82,83,84,87,
88,89,92,95,102,103,105,111,112,113,122,128,130,134,136,161,162,165,166,167,
172,177,178,179,180,181,184,187,188,195,197,198,199,200,201,202,205,208,209,
215,216,219,220,245,256,264,268,274,278,301,306,307,309,311,319,325,328,334,
335,336,346,347,348,349,392,393,398,405,413,422,455,476,526,530,532,540,545,
629],[1,2,3,4,5,6,7,8,10,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,
33,34,36,37,38,39,40,41,43,49,52,56,65,68,72,75,76,77,78,79,80,82,83,84,85,86,
87,88,89,90,92,93,95,102,103,105,111,112,113,122,131,133,135,137,139,141,142,
161,162,164,168,169,175,176,177,178,179,180,181,184,189,190,191,195,197,198,
199,200,201,202,204,205,208,209,215,216,219,220,245,260,265,266,270,271,275,
280,281,302,306,307,310,312,313,314,320,325,328,334,335,336,346,347,348,349,
395,396,399,406,407,414,415,423,457,476,527,531,533,541,542,543,544,630],[1,2,
3,4,5,7,8,9,10,11,12,13,14,16,19,21,26,27,28,33,35,36,37,38,39,40,41,45,51,52,
54,64,66,72,73,74,75,76,77,79,80,82,83,84,87,88,89,95,101,102,108,109,110,113,
121,134,136,162,163,177,178,179,180,185,187,188,198,199,201,202,205,206,209,
244,256,262,277,278,297,298,299,301,307,308,335,337,338,339,343,398,413,427,
462,475,523,528,530,631],[1,2,3,4,5,7,8,9,10,12,14,15,19,26,27,28,33,34,35,38,
43,44,48,49,54,64,66,72,73,74,75,76,77,79,82,94,95,101,104,105,114,115,134,
136,161,162,163,165,177,187,188,194,195,208,209,210,238,256,262,277,278,297,
298,299,309,321,324,325,331,332,398,405,427,458,464,523,529,532,632],[1,2,3,4,
5,7,8,10,11,12,14,15,16,19,20,21,23,26,27,28,33,36,38,39,40,41,48,49,51,52,54,
64,66,72,75,77,79,80,82,83,84,89,92,94,95,113,115,118,121,122,123,124,128,130,
134,162,165,166,167,172,177,178,179,180,187,188,194,195,198,205,206,219,220,
252,256,274,277,308,311,319,321,329,330,332,334,335,341,343,392,393,398,419,
480,481,526,528,529,633],[1,2,3,4,5,6,7,9,10,12,15,26,27,29,30,32,33,35,42,44,
50,56,66,67,69,70,72,73,75,77,94,101,106,116,135,160,162,163,192,193,196,207,
210,237,259,261,297,303,304,326,333,400,463,465,466,522,634],[1,2,3,4,5,7,8,
10,11,12,13,14,16,19,21,23,26,27,28,33,34,37,38,39,41,43,45,49,51,52,54,64,66,
72,75,76,77,79,80,82,84,87,88,91,95,105,110,112,117,119,121,124,130,134,136,
161,162,165,166,172,180,181,184,185,187,188,195,201,205,206,208,209,215,249,
256,273,277,278,308,309,315,318,323,325,330,336,337,340,343,393,398,405,424,
477,484,525,528,532,635],[1,2,3,4,5,7,8,10,11,12,13,14,16,19,20,21,22,23,27,
28,29,33,34,37,38,39,41,43,45,49,51,52,54,72,74,76,78,79,81,82,85,86,87,89,90,
91,92,95,96,105,110,112,117,119,121,124,128,130,134,136,140,177,182,183,184,
199,200,203,204,209,211,215,218,220,221,249,253,254,262,263,264,268,269,273,
274,276,277,278,279,349,350,397,401,402,417,418,419,420,421,422,424,425,426,
427,524,535,536,537,538,539,547,636],[1,2,4,7,17,18,19,59,62,64,99,151,223,
234,357,370,376,637],[1,2,5,8,17,18,20,59,62,65,100,150,223,235,357,371,377,
638],[1,2,3,8,9,10,11,12,15,16,18,34,35,36,41,44,45,48,50,51,53,61,103,104,
108,116,117,118,125,149,239,241,247,388,432,550,639],[1,2,4,5,6,8,19,20,27,54,
55,56,57,58,68,82,128,136,141,224,225,226,264,359,438,489,640],[1,3,4,5,6,13,
21,22,23,24,25,26,29,30,54,55,56,57,58,86,88,93,129,130,131,132,133,135,137,
138,140,142,143,144,145,224,225,226,266,267,269,272,275,358,360,362,363,364,
365,366,438,498,499,552,553,554,641],[1,2,3,5,7,8,10,11,12,14,16,20,23,28,31,
33,36,38,39,40,41,52,65,66,92,97,113,157,164,167,169,172,188,190,293,313,319,
555,642],[1,3,5,9,13,15,22,23,29,31,42,46,53,69,86,98,127,157,171,295,556,
643],[1,2,4,5,7,8,14,17,19,20,38,54,59,64,65,128,164,165,253,370,371,644],[1,
3,6,13,15,18,24,46,55,61,71,129,174,255,375,645],[1,2,3,4,5,6,7,11,16,17,19,
21,22,24,26,28,39,56,59,64,67,74,81,83,85,100,131,137,139,146,166,173,182,231,
257,265,370,379,394,500,564,646],[1,2,4,5,7,8,14,17,19,20,27,38,54,59,64,66,
72,79,82,99,128,136,147,165,167,177,230,256,264,370,378,392,501,563,647],[1,2,
3,4,5,6,8,12,14,17,20,21,22,24,27,29,43,56,59,65,68,76,79,87,90,99,131,141,
142,147,168,176,184,230,260,271,371,378,396,502,565,648],[1,2,3,4,5,6,7,10,12,
17,19,20,21,23,25,27,28,33,56,59,60,62,64,67,74,89,91,92,100,133,139,141,153,
187,203,231,233,235,257,270,370,383,416,506,564,649],[1,2,3,4,5,6,8,10,11,17,
19,20,21,23,25,27,28,36,56,59,60,62,65,68,76,84,89,92,99,133,139,141,153,190,
197,230,232,234,260,270,371,382,414,507,565,650],[1,2,3,4,5,7,10,12,17,19,21,
23,27,33,54,59,60,62,64,66,72,87,89,99,130,136,153,187,199,230,232,234,256,
268,370,382,413,506,563,651],[1,2,3,4,5,10,14,16,17,19,20,21,23,27,28,52,54,
59,60,62,89,92,99,100,128,130,134,153,155,156,230,231,232,233,234,235,253,254,
274,291,296,382,383,418,444,445,446,566,567,568,652],[1,2,4,5,7,8,14,17,19,27,
28,38,54,59,64,66,72,76,82,95,99,134,136,147,165,209,230,256,278,370,381,405,
501,563,653],[1,2,3,4,5,6,7,11,16,17,19,21,26,28,29,30,39,56,59,64,67,74,78,
83,96,100,135,139,142,146,166,211,231,257,280,370,380,408,500,564,654],[1,2,3,
4,5,6,8,12,14,17,20,22,26,27,29,30,43,56,59,65,68,76,77,90,95,99,135,137,141,
147,168,208,230,260,281,371,381,407,502,565,655],[1,2,3,4,5,10,16,17,19,20,21,
23,27,28,51,54,59,60,62,81,89,92,96,99,100,128,130,134,146,153,221,230,231,
232,233,234,235,274,276,286,296,379,380,382,383,420,444,445,446,515,568,570,
656],[1,2,3,4,5,10,14,17,19,20,21,23,27,28,49,54,59,60,62,79,89,92,95,99,100,
128,130,134,147,153,220,230,231,232,233,234,235,274,277,287,296,378,381,382,
383,419,444,445,446,514,568,569,657],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,19,
21,26,27,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,72,
73,75,76,77,79,80,82,83,84,87,88,89,94,95,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,160,
161,162,163,177,178,179,180,181,184,185,186,194,195,196,197,198,199,200,201,
202,205,206,207,208,209,210,215,216,217,219,220,222,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,297,306,307,308,323,324,325,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,344,345,346,347,
348,349,351,352,385,386,387,388,389,390,391,450,462,463,464,467,468,469,470,
471,472,473,476,481,482,483,484,485,517,571,574,575,576,577,581,582,658],[1,2,
3,5,7,8,9,10,11,12,13,14,15,16,20,22,23,28,29,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,65,69,78,85,86,90,92,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,164,168,169,170,171,189,190,192,204,214,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,302,310,312,313,314,317,355,385,
386,387,388,389,390,391,451,457,517,572,578,579,659],[1,2,3,10,15,17,18,48,53,
59,60,61,62,125,148,149,153,223,288,356,357,486,487,488,585,586,587,660],[1,2,
3,4,5,6,7,9,10,12,26,27,28,33,35,54,56,57,64,66,67,69,70,72,73,74,75,77,101,
134,162,163,187,188,224,256,257,258,259,261,262,297,298,299,303,304,398,491,
518,519,520,522,523,661],[1,2,3,4,5,6,7,10,11,12,13,16,19,20,21,22,23,24,27,
28,29,33,37,39,45,51,54,56,57,64,66,67,72,74,78,81,85,86,87,89,90,91,92,96,
110,128,130,131,134,136,140,141,142,143,166,173,182,183,187,199,203,204,211,
218,221,224,256,257,258,259,262,263,269,271,273,274,276,279,315,350,359,360,
394,397,408,409,413,416,420,421,425,426,490,491,538,546,590,598,662],[1,2,3,4,
5,6,7,8,10,12,14,19,20,21,23,27,28,33,34,38,43,49,54,56,57,64,66,67,72,74,76,
79,82,87,89,91,92,95,105,128,130,134,136,141,165,167,177,184,187,199,200,203,
209,215,220,224,256,257,258,259,262,264,268,273,274,277,278,309,349,359,392,
397,405,412,413,416,419,422,424,427,489,491,539,545,590,597,663],[1,2,3,4,5,6,
7,10,12,14,16,19,20,21,23,27,28,33,51,52,54,56,57,64,66,67,72,74,87,89,91,92,
95,121,128,130,134,136,141,187,199,203,224,253,254,256,257,258,259,262,273,
274,343,359,397,413,416,417,418,491,492,524,590,664],[1,2,3,4,5,6,8,10,11,12,
13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,34,37,41,43,52,54,56,57,76,77,78,
80,82,83,85,86,87,88,89,90,92,93,95,112,128,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,179,181,200,202,204,208,215,219,224,253,254,263,264,
265,266,267,268,269,270,271,274,275,278,279,280,281,346,358,359,360,361,362,
401,402,418,421,422,423,489,490,492,493,494,495,496,497,498,537,588,589,591,
593,594,595,596,665],[1,3,5,6,13,15,22,23,24,25,29,30,46,47,53,55,57,86,93,
126,129,132,138,143,144,214,225,255,267,272,355,363,364,365,403,404,429,499,
548,592,666],[1,2,3,4,7,8,9,10,11,12,13,14,16,17,19,21,26,27,33,35,36,37,38,
39,40,41,45,51,52,59,60,62,64,72,75,77,82,83,84,87,88,89,101,102,108,109,110,
113,121,146,147,151,153,154,162,165,166,187,198,199,201,202,244,282,286,289,
298,307,311,315,370,430,454,500,501,506,599,604,605,667],[1,2,3,4,7,8,10,11,
12,13,14,16,17,19,21,26,27,33,34,36,37,38,39,40,41,43,49,52,59,60,62,64,75,76,
82,83,84,89,102,103,105,111,112,113,122,146,147,150,152,153,161,165,166,187,
197,198,200,245,283,287,289,301,306,309,311,370,431,455,500,501,506,600,605,
606,668],[1,2,3,4,7,8,10,11,12,14,15,16,17,19,21,26,27,33,36,38,39,40,41,48,
49,51,52,59,60,62,64,75,79,80,82,83,84,89,95,113,115,118,121,122,123,124,146,
147,148,153,155,156,165,166,187,195,198,205,219,220,252,288,289,291,311,321,
334,343,370,437,480,500,501,506,602,605,608,669],[1,2,3,4,7,8,9,10,12,14,15,
17,19,21,27,33,34,35,38,43,44,48,49,59,60,62,64,72,76,79,82,87,89,95,101,104,
105,114,115,147,148,151,153,154,165,177,184,187,199,200,209,215,220,238,282,
287,288,298,309,321,349,370,434,458,501,506,599,602,606,670],[1,2,3,4,7,8,10,
11,12,13,14,15,16,17,19,21,26,27,33,36,37,39,40,43,45,46,48,49,51,59,60,62,64,
76,77,79,83,84,87,88,89,95,102,107,110,111,115,118,119,146,148,150,152,153,
166,178,184,187,197,202,208,216,220,240,283,286,288,301,315,321,347,370,435,
459,500,506,600,602,604,671],[1,2,3,5,7,8,10,11,12,13,14,15,16,17,20,22,23,28,
29,33,36,37,39,40,43,45,46,48,49,51,59,60,62,65,74,78,81,85,86,90,91,92,96,
102,107,110,111,115,118,119,147,148,151,153,154,168,182,183,190,203,204,211,
218,221,240,282,287,288,300,312,322,350,371,434,461,502,507,601,603,607,672],[
1,2,3,4,7,8,9,10,11,12,13,14,16,17,19,21,27,33,35,36,37,38,39,40,41,45,51,52,
59,60,62,64,72,76,80,84,87,89,95,101,102,108,109,110,113,121,150,151,152,153,
154,155,156,180,181,187,197,199,209,216,219,244,282,283,284,285,290,291,292,
298,301,343,348,370,433,475,506,599,600,608,673],[1,2,3,4,7,8,10,11,12,13,14,
16,17,19,21,26,27,33,34,37,38,39,41,43,45,49,51,52,59,60,62,64,76,77,80,82,83,
87,88,89,95,105,110,112,117,119,121,124,146,147,153,155,156,165,166,179,181,
187,200,202,208,215,219,249,286,287,291,309,315,343,346,370,436,477,500,501,
506,604,606,608,674],[1,2,3,4,7,8,10,11,12,14,15,16,17,19,21,27,33,36,38,39,
40,41,48,49,51,52,59,60,62,64,79,89,95,99,113,115,118,121,122,123,124,146,147,
148,150,151,152,153,154,155,156,165,166,187,220,230,232,234,252,282,283,284,
285,286,287,288,289,290,291,292,311,321,343,376,378,381,382,430,431,433,434,
435,436,437,480,508,510,512,514,551,610,611,613,675],[1,2,3,5,7,8,10,11,12,14,
15,16,17,20,23,28,33,36,38,39,40,41,48,49,51,52,59,60,62,65,81,92,96,100,113,
115,118,121,122,123,124,146,147,148,150,151,152,153,154,155,156,164,169,190,
221,231,233,235,252,282,283,284,285,286,287,288,289,290,291,292,313,322,342,
377,379,380,383,430,431,433,434,435,436,437,479,509,511,513,515,551,609,612,
614,676],[1,3,6,9,24,31,32,58,98,145,368,677],[1,3,4,5,6,9,15,22,26,31,42,56,
69,70,73,94,137,157,158,159,171,207,261,384,411,556,678],[1,2,4,5,6,7,8,14,20,
27,31,38,56,65,66,67,68,72,76,95,141,157,158,159,164,167,209,259,260,384,406,
412,555,679],[1,3,4,5,6,9,26,29,30,31,32,56,69,70,73,135,157,158,159,160,192,
193,261,368,384,400,557,558,559,560,680],[1,2,3,4,5,6,7,11,16,21,28,29,31,39,
56,64,67,74,78,96,97,98,142,157,158,159,166,211,227,228,229,257,293,294,295,
369,384,408,439,440,441,442,443,516,561,562,615,681],[1,2,4,5,6,7,17,19,27,28,
54,56,57,59,64,66,67,72,74,99,100,134,136,139,224,230,231,256,257,258,259,262,
296,361,370,445,491,563,564,682],[1,2,3,4,5,7,8,9,10,12,14,15,19,20,22,27,29,
32,33,34,35,38,42,43,44,47,48,49,50,54,64,66,69,72,79,82,90,101,104,105,106,
114,115,116,120,128,140,165,167,170,171,177,187,192,236,237,238,241,242,256,
263,298,303,309,317,321,386,392,447,448,458,465,518,573,616,620,683],[1,2,3,4,
5,6,7,8,9,10,12,14,15,20,22,26,27,29,30,32,33,34,35,38,42,43,44,47,48,49,50,
56,65,68,69,70,72,73,75,76,77,90,94,95,101,104,105,106,114,115,116,120,135,
137,141,160,161,162,163,164,168,170,171,186,189,191,192,193,194,195,196,207,
208,209,210,212,213,214,236,237,238,241,242,260,261,281,297,310,317,324,325,
326,331,332,333,345,386,399,400,406,407,410,411,428,450,451,452,463,464,468,
469,533,534,572,575,623,684],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,21,22,23,
24,25,26,27,29,30,32,34,35,37,40,41,42,43,44,45,46,47,48,50,52,53,56,65,68,69,
70,73,75,76,77,79,80,84,86,87,88,93,94,104,106,107,109,112,120,123,125,126,
127,131,133,135,160,161,163,168,169,175,176,178,181,184,185,186,189,191,192,
193,194,196,201,205,207,210,212,213,214,217,222,236,246,247,250,251,260,261,
275,314,320,324,326,327,329,336,338,344,345,351,352,353,354,355,390,395,396,
399,400,428,450,451,452,470,471,482,485,527,549,574,579,580,623,685],[1,2,3,4,
5,7,8,9,10,11,12,13,14,15,16,19,20,21,27,33,34,35,36,37,38,39,40,41,43,44,45,
46,48,49,51,52,54,64,66,69,72,76,79,82,87,89,95,101,102,103,104,105,107,108,
109,110,111,112,113,114,115,117,118,119,121,122,123,124,128,136,165,166,167,
170,177,184,187,199,200,209,215,220,238,239,240,244,245,246,248,249,252,256,
264,298,301,303,309,311,315,321,343,349,387,392,405,413,448,454,455,458,459,
475,477,480,518,545,583,616,626,686],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
19,20,21,22,23,24,27,28,29,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,
56,64,65,67,68,71,72,74,76,78,79,81,82,85,86,87,89,90,91,92,95,96,101,102,103,
104,105,107,108,109,110,111,112,113,114,115,117,118,119,121,122,123,124,131,
141,142,164,165,166,168,169,173,174,176,177,182,183,184,187,189,190,199,200,
203,204,209,211,215,218,220,221,238,239,240,244,245,246,248,249,252,257,260,
271,298,300,301,302,305,309,310,311,312,313,314,315,316,321,322,342,343,349,
350,387,394,396,406,408,415,416,449,453,454,455,457,458,459,460,461,474,475,
477,478,479,480,521,544,546,583,584,617,624,625,687],[1,2,3,4,5,7,8,9,10,12,
14,15,16,19,20,27,33,34,35,38,43,44,48,49,51,53,54,64,66,69,72,79,82,101,104,
105,114,115,117,125,128,165,167,170,177,187,238,243,247,254,256,298,303,309,
321,389,392,448,458,518,616,688],[1,2,3,4,5,6,8,9,10,11,12,15,16,19,21,26,27,
28,29,30,32,34,35,36,41,42,44,45,47,48,50,51,56,65,68,69,70,73,75,76,77,78,80,
82,83,84,89,94,103,104,106,108,117,118,120,135,139,142,160,161,163,179,185,
186,189,190,191,192,193,194,196,197,198,200,206,207,210,212,213,214,236,239,
243,260,261,280,302,306,323,324,326,339,341,345,385,399,400,414,415,428,450,
451,452,467,472,531,571,578,623,689],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,19,
20,21,23,26,27,28,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,54,64,66,
72,73,74,75,76,77,79,80,82,83,84,87,88,89,91,92,94,95,101,102,103,104,105,107,
108,109,110,111,112,113,114,115,117,118,119,121,122,123,124,128,130,134,136,
161,162,163,165,166,167,172,177,178,179,180,181,184,185,187,188,194,195,197,
198,199,200,201,202,203,205,206,208,209,210,215,216,217,219,220,238,239,240,
244,245,246,248,249,252,256,262,264,268,273,274,277,278,297,298,299,301,306,
307,308,309,311,315,318,319,321,323,324,325,327,328,329,330,331,332,334,335,
336,337,338,339,340,341,343,346,347,348,349,387,392,393,397,398,405,413,419,
422,424,427,454,455,456,458,459,462,464,467,470,473,475,476,477,480,481,483,
484,523,525,526,528,529,530,532,539,540,545,576,583,622,628,629,631,632,633,
635,690],[1,2,3,4,5,6,7,8,9,10,12,14,15,20,22,26,27,29,30,32,33,34,35,38,42,
43,44,47,48,49,50,56,66,67,69,70,72,73,75,76,77,90,94,95,101,104,105,106,114,
115,116,120,135,137,141,160,161,162,163,167,170,171,186,192,193,194,195,196,
207,208,209,210,236,237,238,241,242,259,261,281,297,303,304,317,324,325,326,
331,332,333,345,386,400,410,411,412,447,448,450,463,464,465,466,468,469,522,
534,573,575,618,619,634,691],[1,2,3,4,7,10,12,17,18,19,21,27,33,59,60,61,62,
64,89,99,151,153,154,187,223,230,232,234,282,356,357,370,376,382,487,506,508,
637,692],[1,2,3,5,8,10,11,17,18,20,23,28,36,59,60,61,62,65,92,100,150,152,153,
190,223,231,233,235,283,356,357,371,377,383,487,507,509,638,693],[1,2,3,4,5,6,
8,12,16,19,20,22,25,26,27,29,30,41,54,55,56,57,58,68,77,80,82,90,128,135,136,
137,138,140,141,144,175,179,224,225,226,254,263,264,281,359,362,363,402,438,
489,493,496,553,595,640,694],[1,2,3,4,5,6,8,12,14,19,20,21,22,24,27,29,43,54,
55,56,57,58,68,82,87,90,95,128,129,131,136,140,141,142,143,145,176,215,224,
225,226,253,263,264,271,359,360,365,366,401,438,489,490,492,554,593,640,695],[
1,2,3,4,5,6,8,10,19,20,21,23,25,27,28,30,34,54,55,56,57,58,68,76,82,89,92,128,
130,132,133,134,136,139,141,144,191,200,224,225,226,264,268,270,274,278,358,
359,361,364,422,438,489,495,497,552,588,640,696],[1,3,6,13,18,24,25,30,61,63,
71,93,367,374,375,697],[1,3,6,13,18,24,25,30,61,63,71,93,367,373,375,698],[1,
2,3,5,7,8,9,10,11,12,13,14,16,20,23,28,31,33,35,36,37,38,39,40,41,45,51,52,65,
66,74,91,92,97,101,102,108,109,110,113,121,157,164,167,169,172,188,190,203,
227,244,293,299,300,313,316,318,319,439,453,456,555,642,699],[1,2,3,4,5,7,8,
10,12,14,17,19,20,22,27,29,33,34,38,43,49,54,59,64,65,82,90,105,128,136,140,
147,164,165,168,187,189,253,263,264,309,310,370,371,401,501,502,644,700],[1,2,
3,4,5,7,9,10,12,17,19,21,27,33,35,54,59,60,62,64,66,69,72,87,89,99,101,136,
151,153,154,187,199,230,256,282,298,303,370,376,413,506,508,518,563,599,701],[
1,2,3,4,5,6,7,8,10,11,12,13,17,19,21,27,28,33,36,37,56,59,60,62,64,65,67,68,
71,74,76,84,89,100,102,139,150,152,153,187,190,197,231,257,260,283,300,301,
305,370,377,414,506,509,521,564,600,702],[1,2,3,4,5,6,7,8,10,11,12,13,17,20,
23,27,28,33,36,37,56,59,60,62,64,65,67,68,71,74,76,91,92,99,102,141,151,153,
154,187,190,203,230,257,260,282,300,301,305,371,376,416,507,508,521,565,601,
703],[1,2,3,4,5,7,8,10,11,12,14,16,17,19,20,21,23,27,28,33,36,38,39,40,41,52,
54,59,60,62,64,65,89,92,113,128,130,134,153,164,165,166,169,187,190,253,254,
274,311,313,370,371,418,506,507,644,704],[1,2,3,4,5,6,7,10,11,12,13,16,17,19,
20,21,22,23,24,25,26,27,28,29,30,33,37,39,45,51,56,59,60,62,64,67,74,77,78,81,
83,85,86,87,88,89,90,91,92,93,96,100,110,131,133,135,137,139,141,142,146,153,
166,173,182,183,187,202,203,204,211,218,221,231,233,235,257,265,266,270,271,
275,280,281,286,315,350,370,379,380,383,394,408,416,423,500,506,515,546,564,
604,646,649,654,705],[1,2,3,4,5,6,8,10,11,12,13,14,17,19,20,21,22,23,24,25,26,
27,28,29,30,36,37,40,43,49,56,59,60,62,65,68,76,77,78,79,83,84,85,86,87,88,89,
90,92,93,95,99,111,131,133,135,137,139,141,142,147,153,168,176,178,184,190,
197,202,204,208,216,220,230,232,234,260,265,266,270,271,275,280,281,287,312,
347,371,378,381,382,396,407,414,423,502,507,514,543,565,607,648,650,655,706],[
1,2,3,4,5,7,8,10,12,14,17,19,20,21,23,27,28,33,34,38,43,49,54,59,60,62,64,66,
72,76,79,82,87,89,92,95,99,105,128,130,134,136,147,153,165,167,177,184,187,
199,200,209,215,220,230,232,234,256,264,268,274,278,287,309,349,370,378,381,
382,392,405,413,422,501,506,514,545,563,606,647,651,653,707],[1,3,6,13,15,18,
24,46,47,53,55,61,71,126,129,149,174,255,375,404,645,708],[1,2,3,4,5,10,14,16,
17,19,20,21,23,27,28,49,51,52,54,59,60,62,79,81,89,92,95,96,99,100,124,128,
130,134,146,147,153,155,156,220,221,230,231,232,233,234,235,253,254,274,276,
277,286,287,291,296,378,379,380,381,382,383,418,419,420,436,444,445,446,514,
515,547,566,567,568,569,570,652,656,657,709],[1,2,3,4,5,6,7,8,9,10,12,14,15,
19,20,26,27,28,33,34,35,38,43,44,48,49,54,56,57,64,66,67,69,70,72,73,74,75,76,
77,79,82,94,95,101,104,105,114,115,128,134,136,141,161,162,163,165,167,170,
177,187,188,194,195,208,209,210,224,238,256,257,258,259,261,262,277,278,297,
298,299,303,304,309,321,324,325,331,332,359,392,398,405,410,412,427,448,458,
464,491,518,519,520,522,523,529,532,597,616,619,632,661,710],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,16,19,20,21,23,26,27,28,33,35,36,37,38,39,40,41,45,51,52,54,
56,57,64,66,67,69,70,72,73,74,75,76,77,79,80,82,83,84,87,88,89,91,92,95,101,
102,108,109,110,113,121,128,130,134,136,141,162,163,165,166,167,172,177,178,
179,180,185,187,188,198,199,201,202,203,205,206,209,224,244,256,257,258,259,
261,262,273,274,277,278,297,298,299,301,303,304,307,308,311,315,318,319,335,
337,338,339,343,359,392,393,397,398,405,412,413,416,427,454,456,462,475,491,
518,519,520,522,523,525,526,528,530,590,597,622,626,627,631,661,711],[1,2,3,4,
5,6,7,9,10,12,15,22,26,27,28,29,30,32,33,35,42,44,50,54,56,57,64,66,67,69,70,
72,73,74,75,77,94,101,106,116,134,135,137,138,140,160,162,163,171,187,188,192,
193,196,207,210,224,237,256,257,258,259,261,262,297,298,299,303,304,326,333,
362,398,400,411,447,463,465,466,491,518,519,520,522,523,618,620,621,634,661,
712],[1,2,3,4,5,6,7,8,10,11,12,13,14,16,19,20,21,22,23,24,27,28,29,33,34,37,
38,39,41,43,45,49,51,52,54,56,57,64,66,67,72,74,76,78,79,81,82,85,86,87,89,90,
91,92,95,96,105,110,112,117,119,121,124,128,130,131,134,136,140,141,142,143,
165,166,167,173,177,182,183,184,187,199,200,203,204,209,211,215,218,220,221,
224,249,253,254,256,257,258,259,262,263,264,268,269,271,273,274,276,277,278,
279,309,315,343,349,350,359,360,392,394,397,401,402,405,408,409,412,413,416,
417,418,419,420,421,422,424,425,426,427,477,489,490,491,492,524,535,536,537,
538,539,545,546,547,590,593,597,598,636,662,663,664,713],[1,2,3,5,8,9,10,11,
12,15,16,18,23,28,29,32,34,35,36,41,42,44,45,47,48,50,51,61,65,69,78,81,91,
103,104,106,108,117,118,120,169,183,189,190,192,214,236,239,243,302,316,322,
372,385,432,451,460,550,578,714],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,19,21,
26,27,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,59,60,62,64,72,75,76,
77,79,80,82,83,84,87,88,89,95,101,102,103,104,105,107,108,109,110,111,112,113,
114,115,117,118,119,121,122,123,124,146,147,148,150,151,152,153,154,155,156,
161,162,165,166,177,178,179,180,181,184,187,195,197,198,199,200,201,202,205,
208,209,215,216,219,220,238,239,240,244,245,246,248,249,252,282,283,284,285,
286,287,288,289,290,291,292,298,301,306,307,309,311,315,321,325,328,334,335,
336,343,346,347,348,349,370,387,430,431,433,434,435,436,437,454,455,458,459,
475,476,477,480,500,501,506,551,583,599,600,602,604,605,606,608,667,668,669,
670,671,673,674,715],[1,3,4,5,6,9,13,15,21,22,23,25,26,29,31,42,46,53,56,69,
70,73,86,88,94,98,127,133,137,142,157,158,159,171,207,217,222,261,266,294,295,
351,384,411,516,556,643,678,716],[1,2,4,5,6,7,8,14,17,19,20,27,38,54,56,57,59,
64,65,66,68,72,76,95,99,128,136,141,164,165,209,224,230,253,256,260,359,370,
371,405,406,492,563,565,644,717],[1,2,3,4,5,6,7,10,12,17,19,20,21,23,25,27,28,
33,54,56,57,59,60,62,64,66,67,72,74,87,89,91,92,99,100,128,130,132,133,134,
136,139,141,153,187,199,203,224,230,231,232,233,234,235,256,257,258,259,262,
268,270,273,274,296,358,359,361,370,382,383,397,413,416,444,445,446,491,497,
506,563,564,568,590,649,651,682,718],[1,2,3,4,5,6,7,11,16,17,19,21,22,24,26,
27,28,29,30,39,54,56,57,59,64,66,67,72,74,78,81,83,85,96,99,100,131,134,135,
136,137,138,139,140,142,143,146,166,173,182,211,224,230,231,256,257,258,259,
262,265,276,279,280,296,360,361,362,370,379,380,394,408,409,426,445,491,494,
500,563,564,570,598,646,654,682,719],[1,2,4,5,6,7,8,14,17,19,20,27,28,38,54,
56,57,59,64,66,67,72,74,76,79,82,95,99,100,128,134,136,139,141,147,165,167,
177,209,224,230,231,256,257,258,259,262,264,277,278,296,359,361,370,378,381,
392,405,412,427,445,491,495,501,563,564,569,597,647,653,682,720],[1,2,3,4,5,7,
8,9,10,11,12,13,14,15,16,19,20,21,22,27,29,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,64,66,69,72,76,79,82,87,89,90,95,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,136,140,165,166,167,170,171,177,184,187,192,199,
200,209,215,220,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,254,256,263,264,298,301,303,309,311,315,317,321,343,349,385,386,387,
388,389,390,391,392,402,405,413,447,448,454,455,458,459,465,475,477,480,517,
518,545,573,583,616,620,626,683,686,688,721],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,56,65,68,69,70,72,73,75,76,77,78,79,80,82,83,
84,85,86,87,88,89,90,92,93,94,95,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,131,133,135,
137,139,141,142,160,161,162,163,164,168,169,170,171,175,176,177,178,179,180,
181,184,185,186,189,190,191,192,193,194,195,196,197,198,199,200,201,202,204,
205,206,207,208,209,210,212,213,214,215,216,217,219,220,222,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,260,261,265,266,270,271,
275,280,281,297,302,306,307,308,310,312,313,314,317,320,323,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,338,339,340,341,344,345,346,347,348,
349,351,352,353,354,355,385,386,387,388,389,390,391,395,396,399,400,406,407,
410,411,414,415,423,428,450,451,452,457,462,463,464,467,468,469,470,471,472,
473,476,481,482,483,484,485,517,527,531,533,534,541,542,543,544,549,571,572,
574,575,576,577,578,579,580,581,582,623,630,658,659,684,685,689,722],[1,2,3,4,
7,10,12,14,15,17,18,19,21,27,33,48,49,59,60,61,62,64,79,89,95,99,115,147,148,
149,151,153,154,187,220,223,230,232,234,282,287,288,321,356,357,370,376,378,
381,382,434,486,487,488,506,508,514,587,602,613,637,692,723],[1,2,3,5,8,10,11,
15,16,17,18,20,23,28,36,48,51,59,60,61,62,65,81,92,96,100,118,146,148,149,150,
152,153,190,221,223,231,233,235,283,286,288,322,356,357,371,377,379,380,383,
435,486,487,488,507,509,515,587,603,614,638,693,724],[1,2,3,4,5,6,8,10,11,12,
13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,34,37,41,43,52,54,55,56,57,58,68,
76,77,78,80,82,83,85,86,87,88,89,90,92,93,95,112,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,175,176,179,181,191,200,202,204,
208,215,219,224,225,226,253,254,263,264,265,266,267,268,269,270,271,272,274,
275,278,279,280,281,320,346,358,359,360,361,362,363,364,365,366,401,402,418,
421,422,423,438,489,490,492,493,494,495,496,497,498,499,537,552,553,554,588,
589,591,593,594,595,596,640,641,665,694,695,696,725],[1,2,3,5,7,8,9,10,12,14,
15,20,22,29,31,32,33,34,35,38,42,43,44,47,48,49,50,65,66,69,90,101,104,105,
106,114,115,116,120,157,164,167,168,170,171,189,192,214,236,237,238,241,242,
303,310,317,368,386,447,448,451,465,555,556,560,572,573,726],[1,2,3,4,5,7,8,9,
10,11,12,13,14,16,17,19,20,21,23,27,28,33,35,36,37,38,39,40,41,45,51,52,54,59,
60,62,64,65,72,74,87,89,91,92,101,102,108,109,110,113,121,128,130,134,151,153,
154,164,165,166,169,187,190,199,203,244,253,254,262,273,274,282,298,300,311,
313,315,316,370,371,397,417,418,453,454,506,507,524,599,601,644,704,727],[1,2,
3,4,5,7,8,10,11,12,14,15,16,17,19,20,21,23,27,28,33,36,38,39,40,41,48,49,51,
52,54,59,60,62,64,65,79,81,89,92,95,96,113,115,118,121,122,123,124,128,130,
134,148,153,164,165,166,169,187,190,220,221,252,253,254,274,276,277,288,311,
313,321,322,342,343,370,371,418,419,420,479,480,506,507,547,602,603,644,704,
728],[1,2,3,4,5,7,8,9,10,11,12,13,14,16,17,19,21,23,27,33,35,36,37,38,39,40,
41,45,51,52,54,59,60,62,64,66,69,72,76,80,84,87,89,95,99,101,102,108,109,110,
113,121,130,136,150,151,152,153,154,155,156,165,166,172,180,181,187,197,199,
209,216,219,230,232,234,244,256,268,282,283,284,285,290,291,292,298,301,303,
311,315,343,348,370,376,382,393,405,413,433,454,475,506,508,510,512,518,540,
563,599,600,608,610,626,651,673,701,729],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,
17,19,20,21,23,25,27,28,33,35,36,37,38,39,40,41,45,51,52,56,59,60,62,64,65,67,
68,71,72,74,76,80,84,87,89,91,92,95,100,101,102,108,109,110,113,121,133,139,
141,150,151,152,153,154,155,156,164,169,175,180,181,187,190,197,199,203,209,
216,219,231,233,235,244,257,260,270,282,283,284,285,290,291,292,298,300,301,
305,313,316,343,348,370,377,383,395,406,414,416,433,453,475,506,509,511,513,
521,542,564,599,600,608,609,625,649,673,702,730],[1,2,3,4,5,7,8,10,11,12,13,
14,16,17,19,20,21,22,23,27,28,29,33,34,36,37,38,39,40,41,43,49,52,54,59,60,62,
64,65,76,78,82,85,86,89,90,92,102,103,105,111,112,113,122,128,130,134,136,140,
147,153,164,165,166,168,169,187,189,190,200,204,245,253,254,263,264,268,269,
274,278,279,287,301,302,309,310,311,312,313,314,370,371,401,402,418,421,422,
455,457,501,502,506,507,537,606,607,644,700,704,731],[1,2,3,4,5,7,8,9,10,12,
14,15,17,19,20,21,27,33,34,35,38,43,44,48,49,54,59,60,62,64,66,69,72,76,79,82,
87,89,95,99,101,104,105,114,115,128,136,147,148,151,153,154,165,167,170,177,
184,187,199,200,209,215,220,230,238,256,264,282,287,288,298,303,309,321,349,
370,376,378,392,405,413,434,448,458,501,506,508,518,545,563,599,602,606,613,
616,647,670,701,732],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,19,21,22,24,26,
27,28,33,36,37,39,40,43,45,46,48,49,51,56,59,60,62,64,65,67,68,71,74,76,77,79,
81,83,84,85,87,88,89,95,100,102,107,110,111,115,118,119,131,137,139,146,148,
150,152,153,166,168,173,174,176,178,182,184,187,190,197,202,208,216,220,231,
240,257,260,265,283,286,288,300,301,305,312,315,321,322,347,370,377,379,394,
396,407,414,435,449,459,461,500,506,509,521,543,564,600,602,604,614,617,646,
671,702,733],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,20,21,22,23,24,27,28,29,
33,36,37,39,40,43,45,46,48,49,51,56,59,60,62,64,65,67,68,71,74,76,78,79,81,85,
86,87,90,91,92,96,99,102,107,110,111,115,118,119,131,141,142,147,148,151,153,
154,166,168,173,174,176,182,183,184,187,190,203,204,211,218,221,230,240,257,
260,271,282,287,288,300,301,305,312,315,321,322,350,371,376,378,394,396,408,
416,434,449,459,461,502,507,508,521,546,565,601,603,607,613,617,648,672,703,
734],[1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,19,21,26,27,28,29,30,33,34,36,37,
38,39,40,41,43,49,52,56,59,60,62,64,65,67,68,71,74,75,76,78,82,83,84,89,96,
100,102,103,105,111,112,113,122,135,139,142,146,147,150,152,153,161,165,166,
187,189,190,191,197,198,200,211,231,245,257,260,280,283,287,289,300,301,302,
305,306,309,311,342,370,377,380,399,408,414,415,431,455,474,500,501,506,509,
521,531,564,600,605,606,612,624,654,668,702,735],[1,2,3,4,5,7,8,9,10,11,12,13,
14,16,17,19,21,26,27,28,33,35,36,37,38,39,40,41,45,51,52,54,59,60,62,64,66,69,
72,75,76,77,82,83,84,87,88,89,95,99,101,102,108,109,110,113,121,134,136,146,
147,151,153,154,162,165,166,187,188,198,199,201,202,209,230,244,256,278,282,
286,289,298,301,303,307,311,315,343,370,376,381,398,405,413,430,454,475,500,
501,506,508,518,530,563,599,604,605,611,626,653,667,701,736],[1,3,5,6,9,24,29,
31,32,57,58,69,98,143,145,157,192,226,295,366,368,560,677,737],[1,2,3,4,5,6,7,
8,9,10,12,14,15,16,19,20,26,27,28,33,34,35,38,43,44,48,49,51,53,54,56,57,64,
66,67,69,70,72,73,74,75,76,77,79,80,82,94,95,101,104,105,114,115,117,125,128,
134,136,141,161,162,163,165,167,170,177,187,188,194,195,206,208,209,210,222,
224,238,243,247,254,256,257,258,259,261,262,277,278,297,298,299,303,304,309,
321,323,324,325,331,332,344,359,389,392,398,405,410,412,427,448,458,464,471,
472,491,496,518,519,520,522,523,529,532,577,597,616,619,632,661,688,710,738],[
1,2,3,4,5,6,7,8,9,10,12,14,15,19,20,22,26,27,28,29,30,32,33,34,35,38,42,43,44,
47,48,49,50,54,56,57,64,66,67,69,70,72,73,74,75,76,77,79,82,90,94,95,101,104,
105,106,114,115,116,120,128,134,135,136,137,138,140,141,160,161,162,163,165,
167,170,171,177,186,187,188,192,193,194,195,196,207,208,209,210,224,236,237,
238,241,242,256,257,258,259,261,262,263,277,278,281,297,298,299,303,304,309,
317,321,324,325,326,331,332,333,345,359,362,386,392,398,400,405,410,411,412,
427,447,448,450,458,463,464,465,466,468,469,491,493,518,519,520,522,523,529,
532,534,573,575,597,616,618,619,620,621,632,634,661,683,691,710,712,739],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,20,21,23,26,27,28,33,34,35,36,37,38,39,
40,41,43,44,45,46,48,49,51,52,54,56,57,64,66,67,69,70,72,73,74,75,76,77,79,80,
82,83,84,87,88,89,91,92,94,95,101,102,103,104,105,107,108,109,110,111,112,113,
114,115,117,118,119,121,122,123,124,128,130,134,136,141,161,162,163,165,166,
167,170,172,177,178,179,180,181,184,185,187,188,194,195,197,198,199,200,201,
202,203,205,206,208,209,210,215,216,217,219,220,224,238,239,240,244,245,246,
248,249,252,256,257,258,259,261,262,264,268,273,274,277,278,297,298,299,301,
303,304,306,307,308,309,311,315,318,319,321,323,324,325,327,328,329,330,331,
332,334,335,336,337,338,339,340,341,343,346,347,348,349,359,387,392,393,397,
398,405,410,412,413,416,419,422,424,427,448,454,455,456,458,459,462,464,467,
470,473,475,476,477,480,481,483,484,489,491,518,519,520,522,523,525,526,528,
529,530,532,539,540,545,576,583,590,597,616,619,622,626,627,628,629,631,632,
633,635,661,663,686,690,710,711,740],[1,2,4,5,7,8,14,17,18,19,20,38,54,59,62,
64,65,99,100,128,150,151,155,164,165,223,234,235,253,292,296,357,370,371,376,
377,444,510,511,566,637,638,644,741],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,18,
20,22,23,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,61,65,69,74,78,81,85,86,90,91,92,96,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,149,
164,168,169,170,171,182,183,189,190,192,203,204,211,214,218,221,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,300,302,310,312,313,
314,316,317,322,342,350,355,372,385,386,387,388,389,390,391,432,451,453,457,
460,461,474,478,479,505,517,550,572,578,579,584,639,659,714,742],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,16,20,23,27,28,31,33,35,36,37,38,39,40,41,45,51,52,56,64,
65,66,67,68,70,71,72,74,76,91,92,95,97,101,102,108,109,110,113,121,141,157,
158,159,164,167,169,172,187,188,190,203,209,227,244,257,259,260,293,298,299,
300,301,304,305,313,316,318,319,343,384,406,412,416,439,440,441,453,456,475,
519,521,555,615,625,627,642,679,699,743],[1,2,3,4,5,6,7,8,10,12,14,17,19,20,
21,23,25,27,28,33,34,38,43,49,54,56,57,59,60,62,64,66,67,72,74,76,79,82,87,89,
91,92,95,99,100,105,128,130,132,133,134,136,139,141,147,153,165,167,177,184,
187,199,200,203,209,215,220,224,230,231,232,233,234,235,256,257,258,259,262,
264,268,270,273,274,277,278,287,296,309,349,358,359,361,370,378,381,382,383,
392,397,405,412,413,416,419,422,424,427,444,445,446,489,491,495,497,501,506,
514,539,545,563,564,568,569,588,590,597,606,647,649,651,653,657,663,682,707,
718,720,744],[1,2,3,4,5,6,7,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,
29,30,33,37,39,45,51,54,56,57,59,60,62,64,66,67,72,74,77,78,81,83,85,86,87,88,
89,90,91,92,93,96,99,100,110,128,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,146,153,166,173,182,183,187,199,202,203,204,211,218,221,224,230,
231,232,233,234,235,256,257,258,259,262,263,265,266,267,268,269,270,271,273,
274,275,276,279,280,281,286,296,315,350,358,359,360,361,362,370,379,380,382,
383,394,397,408,409,413,416,420,421,423,425,426,444,445,446,490,491,493,494,
497,498,500,506,515,538,546,563,564,568,570,589,590,598,604,646,649,651,654,
656,662,682,705,718,719,745],[1,2,3,4,5,6,7,8,10,12,14,17,19,20,22,26,27,28,
29,30,33,34,38,43,49,54,56,57,59,64,65,66,68,72,75,76,77,82,90,95,99,105,128,
134,135,136,137,138,139,140,141,147,161,162,164,165,168,187,188,189,191,195,
208,209,224,230,253,256,260,263,264,278,281,309,310,325,359,361,362,370,371,
381,398,399,401,405,406,407,492,493,495,501,502,532,533,563,565,591,644,653,
655,700,717,746],[1,2,3,4,5,6,7,8,10,11,12,14,16,17,19,20,21,23,25,27,28,33,
36,38,39,40,41,52,54,56,57,59,60,62,64,65,66,68,72,76,80,84,87,89,92,95,99,
113,128,130,132,133,134,136,139,141,153,164,165,166,169,172,175,180,181,187,
190,197,199,209,216,219,224,230,232,234,253,254,256,260,268,270,274,311,313,
348,358,359,361,370,371,382,393,395,405,406,413,414,418,492,496,497,506,507,
540,542,563,565,596,644,650,651,704,717,747],[1,2,3,4,5,6,7,8,10,12,14,17,19,
20,21,22,24,27,29,33,34,38,43,49,54,56,57,59,64,65,66,68,72,76,79,82,87,89,90,
95,99,105,128,131,136,140,141,142,143,147,164,165,167,168,176,177,184,187,189,
199,200,209,215,220,224,230,253,256,260,263,264,271,309,310,349,359,360,370,
371,378,392,396,401,405,406,413,415,489,490,492,501,502,544,545,563,565,593,
644,647,648,700,717,748],[1,2,3,4,5,6,7,10,12,14,16,17,19,20,21,23,25,27,28,
33,51,52,54,56,57,59,60,62,64,66,67,72,74,80,87,89,91,92,95,99,100,121,128,
130,132,133,134,136,139,141,153,155,156,187,199,203,219,224,230,231,232,233,
234,235,253,254,256,257,258,259,262,268,270,273,274,291,296,343,358,359,361,
370,382,383,397,413,416,417,418,444,445,446,491,492,496,497,506,524,563,564,
566,567,568,590,596,608,649,651,652,664,682,718,749],[1,2,4,5,7,8,14,17,19,20,
27,31,38,54,59,64,65,66,72,79,82,128,147,157,164,165,167,177,253,256,370,371,
392,501,555,644,750],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,
23,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,56,
59,60,62,64,65,67,68,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
91,92,93,95,96,100,101,102,103,104,105,107,108,109,110,111,112,113,114,115,
117,118,119,121,122,123,124,131,133,135,137,139,141,142,146,147,148,150,151,
152,153,154,155,156,161,162,164,165,166,168,169,173,174,175,176,177,178,179,
180,181,182,183,184,187,189,190,191,195,197,198,199,200,201,202,203,204,205,
208,209,211,215,216,218,219,220,221,231,233,235,238,239,240,244,245,246,248,
249,252,257,260,265,266,270,271,275,280,281,282,283,284,285,286,287,288,289,
290,291,292,298,300,301,302,305,306,307,309,310,311,312,313,314,315,316,320,
321,322,325,328,334,335,336,342,343,346,347,348,349,350,370,377,379,380,383,
387,394,395,396,399,406,407,408,414,415,416,423,430,431,433,434,435,436,437,
449,453,454,455,457,458,459,460,461,474,475,476,477,478,479,480,500,501,506,
509,511,513,515,521,527,531,533,541,542,543,544,546,551,564,583,584,599,600,
602,604,605,606,608,609,612,614,617,624,625,630,646,649,654,667,668,669,670,
671,673,674,676,687,702,705,715,730,733,735,751],[1,2,3,4,5,7,8,9,10,11,12,13,
14,15,16,17,19,20,21,23,26,27,28,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,
51,52,54,59,60,62,64,66,69,72,75,76,77,79,80,82,83,84,87,88,89,92,95,99,101,
102,103,104,105,107,108,109,110,111,112,113,114,115,117,118,119,121,122,123,
124,128,130,134,136,146,147,148,150,151,152,153,154,155,156,161,162,165,166,
167,170,172,177,178,179,180,181,184,187,188,195,197,198,199,200,201,202,205,
208,209,215,216,219,220,230,232,234,238,239,240,244,245,246,248,249,252,256,
264,268,274,278,282,283,284,285,286,287,288,289,290,291,292,298,301,303,306,
307,309,311,315,319,321,325,328,334,335,336,343,346,347,348,349,370,376,378,
381,382,387,392,393,398,405,413,422,430,431,433,434,435,436,437,448,454,455,
458,459,475,476,477,480,500,501,506,508,510,512,514,518,526,530,532,540,545,
551,563,583,599,600,602,604,605,606,608,610,611,613,616,626,629,647,651,653,
667,668,669,670,671,673,674,675,686,701,707,715,729,732,736,752],[1,2,3,4,5,7,
8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,27,28,29,33,34,35,36,37,38,39,40,
41,43,44,45,46,48,49,51,52,54,59,60,62,64,65,72,74,76,78,79,81,82,85,86,87,89,
90,91,92,95,96,101,102,103,104,105,107,108,109,110,111,112,113,114,115,117,
118,119,121,122,123,124,128,130,134,136,140,147,148,151,153,154,164,165,166,
168,169,177,182,183,184,187,189,190,199,200,203,204,209,211,215,218,220,221,
238,239,240,244,245,246,248,249,252,253,254,262,263,264,268,269,273,274,276,
277,278,279,282,287,288,298,300,301,302,309,310,311,312,313,314,315,316,321,
322,342,343,349,350,370,371,387,397,401,402,417,418,419,420,421,422,424,425,
426,427,434,453,454,455,457,458,459,460,461,474,475,477,478,479,480,501,502,
506,507,524,535,536,537,538,539,547,583,584,599,601,602,603,606,607,636,644,
670,672,700,704,727,728,731,753],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,
20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,56,57,64,66,67,69,70,72,73,74,75,76,77,79,80,82,83,84,87,88,
89,90,91,92,94,95,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,130,134,135,136,137,138,
140,141,160,161,162,163,165,166,167,170,171,172,177,178,179,180,181,184,185,
186,187,188,192,193,194,195,196,197,198,199,200,201,202,203,205,206,207,208,
209,210,215,216,217,219,220,222,224,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,251,252,254,256,257,258,259,261,262,263,264,268,273,274,
277,278,281,297,298,299,301,303,304,306,307,308,309,311,315,317,318,319,321,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,
343,344,345,346,347,348,349,351,352,359,362,385,386,387,388,389,390,391,392,
393,397,398,400,402,405,410,411,412,413,416,419,422,424,427,447,448,450,454,
455,456,458,459,462,463,464,465,466,467,468,469,470,471,472,473,475,476,477,
480,481,482,483,484,485,489,491,493,496,517,518,519,520,522,523,525,526,528,
529,530,532,534,539,540,545,571,573,574,575,576,577,581,582,583,590,595,597,
616,618,619,620,621,622,626,627,628,629,631,632,633,634,635,658,661,663,683,
686,688,690,691,710,711,712,721,738,739,740,754],[1,2,3,4,5,7,9,10,12,17,18,
19,21,23,27,33,35,54,59,60,61,62,64,66,69,72,87,89,99,101,130,136,151,153,154,
187,199,223,230,232,234,256,268,282,298,303,356,357,370,372,376,382,413,487,
506,508,518,563,599,637,651,692,701,755],[1,2,3,4,5,6,7,8,10,11,12,13,17,18,
19,20,21,23,25,27,28,33,36,37,56,59,60,61,62,64,65,67,68,71,74,76,84,89,91,92,
99,100,102,133,139,141,150,151,152,153,154,187,190,197,203,223,230,231,232,
233,234,235,257,260,270,282,283,300,301,305,356,357,370,371,373,374,376,377,
382,383,414,416,487,506,507,508,509,521,564,565,600,601,637,638,649,650,692,
693,702,703,756],[1,2,3,4,5,7,8,10,11,12,14,16,17,18,19,20,21,23,27,28,33,36,
38,39,40,41,52,54,59,60,61,62,64,65,89,92,99,100,113,128,130,134,150,151,152,
153,154,155,156,164,165,166,169,187,190,223,230,231,232,233,234,235,253,254,
274,282,283,284,285,290,291,292,296,311,313,356,357,370,371,376,377,382,383,
418,433,444,445,446,487,506,507,508,509,510,511,512,513,566,567,568,609,610,
637,638,644,652,692,693,704,741,757],[1,2,3,4,5,6,7,8,9,10,12,14,15,20,22,26,
27,29,30,31,32,33,34,35,38,42,43,44,47,48,49,50,56,65,66,67,68,69,70,72,73,75,
76,77,90,94,95,101,104,105,106,114,115,116,120,135,137,141,157,158,159,160,
161,162,163,164,167,168,170,171,186,189,191,192,193,194,195,196,207,208,209,
210,212,213,214,236,237,238,241,242,259,260,261,281,297,303,304,310,317,324,
325,326,331,332,333,345,368,384,386,399,400,406,407,410,411,412,428,447,448,
450,451,452,463,464,465,466,468,469,522,533,534,555,556,557,558,559,560,572,
573,575,618,619,623,634,678,679,680,684,691,726,758],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,16,17,19,20,21,23,27,28,33,35,36,37,38,39,40,41,45,51,52,54,56,57,59,
60,62,64,65,66,67,68,69,71,72,74,76,87,89,91,92,95,99,101,102,108,109,110,113,
121,128,130,134,136,141,151,153,154,164,165,166,169,187,190,199,203,209,224,
230,244,253,254,256,257,258,259,260,262,273,274,282,298,300,301,303,305,311,
313,315,316,343,359,370,371,376,397,405,406,413,416,417,418,453,454,475,491,
492,506,507,508,518,521,524,563,565,590,599,601,625,626,644,664,701,703,704,
717,727,759],[1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,
28,29,30,33,34,37,38,39,41,43,45,49,51,52,54,56,57,59,60,62,64,66,67,72,74,76,
77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,95,96,99,100,105,110,112,117,
119,121,124,128,130,131,132,133,134,135,136,137,138,139,140,141,142,143,146,
147,153,155,156,165,166,167,173,177,179,181,182,183,184,187,199,200,202,203,
204,208,209,211,215,218,219,220,221,224,230,231,232,233,234,235,249,253,254,
256,257,258,259,262,263,264,265,266,267,268,269,270,271,273,274,275,276,277,
278,279,280,281,286,287,291,296,309,315,343,346,349,350,358,359,360,361,362,
370,378,379,380,381,382,383,392,394,397,401,402,405,408,409,412,413,416,417,
418,419,420,421,422,423,424,425,426,427,436,444,445,446,477,489,490,491,492,
493,494,495,496,497,498,500,501,506,514,515,524,535,536,537,538,539,545,546,
547,563,564,566,567,568,569,570,588,589,590,591,593,594,595,596,597,598,604,
606,608,636,646,647,649,651,652,653,654,656,657,662,663,664,665,674,682,705,
707,709,713,718,719,720,744,745,749,760],[1,2,3,4,5,6,7,8,10,11,12,13,14,16,
17,19,20,21,22,23,24,25,26,27,28,29,30,33,34,36,37,38,39,40,41,43,49,52,54,56,
57,59,60,62,64,65,66,68,72,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,92,93,
95,99,102,103,105,111,112,113,122,128,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,147,153,161,162,164,165,166,167,168,169,172,175,176,177,178,
179,180,181,184,187,188,189,190,191,195,197,198,199,200,201,202,204,205,208,
209,215,216,219,220,224,230,232,234,245,253,254,256,260,263,264,265,266,267,
268,269,270,271,274,275,278,279,280,281,287,301,302,306,307,309,310,311,312,
313,314,319,320,325,328,334,335,336,346,347,348,349,358,359,360,361,362,370,
371,378,381,382,392,393,395,396,398,399,401,402,405,406,407,413,414,415,418,
421,422,423,455,457,476,489,490,492,493,494,495,496,497,498,501,502,506,507,
514,526,527,530,531,532,533,537,540,541,542,543,544,545,563,565,588,589,591,
593,594,595,596,606,607,629,630,644,647,648,650,651,653,655,665,700,704,706,
707,717,731,746,747,748,761],[1,2,3,4,5,7,8,10,11,12,14,16,17,19,20,21,23,26,
27,28,31,33,36,38,39,40,41,52,54,59,60,62,64,65,66,72,75,77,79,80,82,83,84,89,
92,97,113,128,130,134,146,147,153,157,162,164,165,166,167,169,172,177,178,179,
180,187,188,190,198,205,253,254,256,274,289,293,311,313,319,335,370,371,392,
393,398,418,500,501,506,507,526,555,605,642,644,704,750,762],[1,2,3,4,5,7,8,
10,12,14,17,19,20,21,22,27,29,31,33,34,38,43,49,54,59,60,62,64,65,66,72,76,79,
82,87,89,90,95,98,105,128,136,140,147,153,157,164,165,167,168,177,184,187,189,
199,200,209,215,220,253,256,263,264,287,295,309,310,349,370,371,392,401,405,
413,501,502,506,545,555,606,644,700,750,763],[1,2,3,4,5,7,8,9,10,12,14,15,17,
18,19,20,21,23,27,28,33,34,35,38,43,44,48,49,54,59,60,61,62,64,66,69,72,76,79,
82,87,89,92,95,99,101,104,105,114,115,128,130,134,136,147,148,149,151,153,154,
165,167,170,177,184,187,199,200,209,215,220,223,230,232,234,238,256,264,268,
274,278,282,287,288,298,303,309,321,349,356,357,370,372,376,378,381,382,392,
405,413,422,434,448,458,486,487,488,501,505,506,508,514,518,545,563,587,599,
602,606,613,616,637,647,651,653,670,692,701,707,723,732,755,764],[1,2,3,4,5,6,
7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,36,37,
39,40,43,45,46,48,49,51,56,59,60,61,62,64,65,67,68,71,74,76,77,78,79,81,83,84,
85,86,87,88,89,90,91,92,93,95,96,99,100,102,107,110,111,115,118,119,131,133,
135,137,139,141,142,146,147,148,149,150,151,152,153,154,166,168,173,174,176,
178,182,183,184,187,190,197,202,203,204,208,211,216,218,220,221,223,230,231,
232,233,234,235,240,257,260,265,266,270,271,275,280,281,282,283,286,287,288,
300,301,305,312,315,321,322,347,350,356,357,370,371,373,374,376,377,378,379,
380,381,382,383,394,396,407,408,414,416,423,434,435,449,459,461,486,487,488,
500,502,503,504,506,507,508,509,514,515,521,543,546,564,565,587,600,601,602,
603,604,607,613,614,617,637,638,646,648,649,650,654,655,671,672,692,693,702,
703,705,706,723,724,733,734,756,765],[1,2,3,4,5,7,8,10,11,12,14,15,16,17,18,
19,20,21,23,27,28,33,36,38,39,40,41,48,49,51,52,54,59,60,61,62,64,65,79,81,89,
92,95,96,99,100,113,115,118,121,122,123,124,128,130,134,146,147,148,149,150,
151,152,153,154,155,156,164,165,166,169,187,190,220,221,223,230,231,232,233,
234,235,252,253,254,274,276,277,282,283,284,285,286,287,288,289,290,291,292,
296,311,313,321,322,342,343,356,357,370,371,376,377,378,379,380,381,382,383,
418,419,420,430,431,433,434,435,436,437,444,445,446,479,480,486,487,488,506,
507,508,509,510,511,512,513,514,515,547,551,566,567,568,569,570,587,602,603,
609,610,611,612,613,614,637,638,644,652,656,657,675,676,692,693,704,709,723,
724,728,741,757,766],[1,2,4,5,6,7,8,14,17,19,20,27,28,31,38,54,56,57,59,64,65,
66,67,68,72,74,76,79,82,95,99,128,134,136,141,147,157,158,159,164,165,167,177,
209,224,230,253,256,257,258,259,260,262,277,278,359,370,371,381,384,392,405,
406,412,427,491,492,501,555,563,565,597,644,653,679,717,750,767],[1,3,6,13,15,
18,24,25,30,46,47,53,55,61,63,71,93,126,129,144,149,174,213,255,272,354,367,
374,375,403,404,429,504,548,645,697,708,768],[1,3,6,13,15,18,24,25,30,46,47,
53,55,61,63,71,93,126,129,144,149,174,212,255,272,353,367,373,375,403,404,429,
503,548,645,698,708,769],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,
22,23,24,27,28,29,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,54,56,57,
59,60,62,64,65,66,67,68,69,71,72,74,76,78,79,81,82,85,86,87,89,90,91,92,95,96,
99,101,102,103,104,105,107,108,109,110,111,112,113,114,115,117,118,119,121,
122,123,124,128,130,131,134,136,140,141,142,143,147,148,151,153,154,164,165,
166,167,168,169,170,173,174,176,177,182,183,184,187,189,190,199,200,203,204,
209,211,215,218,220,221,224,230,238,239,240,244,245,246,248,249,252,253,254,
256,257,258,259,260,262,263,264,268,269,271,273,274,276,277,278,279,282,287,
288,298,300,301,302,303,305,309,310,311,312,313,314,315,316,321,322,342,343,
349,350,359,360,370,371,376,378,387,392,394,396,397,401,402,405,406,408,409,
412,413,415,416,417,418,419,420,421,422,424,425,426,427,434,448,449,453,454,
455,457,458,459,460,461,474,475,477,478,479,480,489,490,491,492,501,502,506,
507,508,518,521,524,535,536,537,538,539,544,545,546,547,563,565,583,584,590,
593,597,598,599,601,602,603,606,607,613,616,617,624,625,626,636,644,647,648,
662,663,664,670,672,686,687,700,701,703,704,713,717,727,728,731,732,734,748,
753,759,770],[1,2,3,4,5,7,8,9,10,11,12,13,14,16,17,19,20,21,23,26,27,28,31,33,
35,36,37,38,39,40,41,45,51,52,54,59,60,62,64,65,66,72,73,74,75,77,79,80,82,83,
84,87,88,89,91,92,97,101,102,108,109,110,113,121,128,130,134,146,147,151,153,
154,157,162,163,164,165,166,167,169,172,177,178,179,180,185,187,188,190,198,
199,201,202,203,205,206,227,244,253,254,256,262,273,274,282,286,289,293,297,
298,299,300,307,308,311,313,315,316,318,319,335,337,338,339,370,371,392,393,
397,398,417,418,430,439,453,454,456,462,500,501,506,507,523,524,525,526,555,
599,601,604,605,622,642,644,667,699,704,727,750,762,771],[1,2,3,4,5,7,8,10,11,
12,13,14,16,17,19,20,21,22,23,26,27,28,29,31,33,34,36,37,38,39,40,41,43,49,52,
54,59,60,62,64,65,66,72,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,92,95,97,
98,102,103,105,111,112,113,122,128,130,134,136,140,146,147,150,152,153,157,
161,162,164,165,166,167,168,169,172,177,178,179,180,181,184,187,188,189,190,
195,197,198,199,200,201,202,204,205,208,209,215,216,219,220,228,245,253,254,
256,263,264,268,269,274,278,279,283,287,289,293,295,301,302,306,307,309,310,
311,312,313,314,319,325,328,334,335,336,346,347,348,349,370,371,392,393,398,
401,402,405,413,418,421,422,431,443,455,457,476,500,501,502,506,507,526,530,
532,537,540,545,555,600,605,606,607,629,642,644,668,700,704,731,750,762,763,
772],[1,2,3,4,5,7,8,10,11,12,14,15,16,17,19,20,21,23,26,27,28,31,33,36,38,39,
40,41,48,49,51,52,54,59,60,62,64,65,66,72,75,77,79,80,81,82,83,84,89,92,94,95,
96,97,113,115,118,121,122,123,124,128,130,134,146,147,148,153,155,156,157,162,
164,165,166,167,169,172,177,178,179,180,187,188,190,194,195,198,205,206,219,
220,221,229,252,253,254,256,274,276,277,288,289,291,293,308,311,313,319,321,
322,329,330,332,334,335,341,342,343,370,371,392,393,398,418,419,420,437,442,
479,480,481,500,501,506,507,526,528,529,547,555,602,603,605,608,633,642,644,
669,704,728,750,762,773],[1,2,3,4,5,7,8,9,10,12,14,15,16,17,18,19,20,21,23,27,
28,33,34,35,38,43,44,48,49,51,53,54,59,60,61,62,64,66,69,72,76,79,81,82,87,89,
92,95,96,99,101,104,105,114,115,117,125,128,130,134,136,147,148,149,151,153,
154,165,167,170,177,184,187,199,200,209,215,220,221,223,230,232,234,238,243,
247,254,256,264,268,274,276,278,282,287,288,298,303,309,321,349,356,357,370,
372,376,378,381,382,389,392,405,413,417,420,422,434,448,458,486,487,488,501,
505,506,508,514,518,535,545,563,585,586,587,599,602,606,613,616,637,647,651,
653,660,670,688,692,701,707,723,732,755,764,774],[1,2,3,4,5,6,7,8,10,12,14,17,
19,20,21,22,23,24,27,28,29,31,33,34,38,43,49,54,56,57,59,60,62,64,65,66,67,68,
72,74,76,79,82,87,89,90,91,92,95,98,99,105,128,130,131,134,136,140,141,142,
143,147,153,157,158,159,164,165,167,168,176,177,184,187,189,199,200,203,209,
215,220,224,230,232,234,253,256,257,258,259,260,262,263,264,268,271,273,274,
277,278,287,294,295,309,310,349,359,360,370,371,378,381,382,384,392,396,397,
401,405,406,412,413,415,416,419,422,424,427,489,490,491,492,501,502,506,514,
516,539,544,545,555,563,565,590,593,597,606,644,647,648,651,653,663,679,700,
707,717,748,750,763,767,775],[1,2,3,4,5,7,8,9,10,12,14,15,17,19,20,22,27,29,
31,32,33,34,35,38,42,43,44,47,48,49,50,54,59,64,65,66,69,72,79,82,90,99,101,
104,105,106,114,115,116,120,128,136,140,147,157,164,165,167,168,170,171,177,
187,189,192,214,230,236,237,238,241,242,253,256,263,264,298,303,309,310,317,
321,368,370,371,378,386,392,401,447,448,451,458,465,501,502,518,555,556,560,
563,572,573,616,620,644,647,683,700,726,750,776],[1,2,3,4,5,7,8,9,10,11,12,13,
14,15,16,17,19,20,21,22,23,26,27,28,29,31,33,34,35,36,37,38,39,40,41,43,44,45,
46,48,49,51,52,54,59,60,62,64,65,66,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,94,95,96,97,98,101,102,103,104,105,107,108,109,110,111,
112,113,114,115,117,118,119,121,122,123,124,128,130,134,136,140,146,147,148,
150,151,152,153,154,155,156,157,161,162,163,164,165,166,167,168,169,172,177,
178,179,180,181,182,183,184,185,187,188,189,190,194,195,197,198,199,200,201,
202,203,204,205,206,208,209,210,211,215,216,217,218,219,220,221,227,228,229,
238,239,240,244,245,246,248,249,252,253,254,256,262,263,264,268,269,273,274,
276,277,278,279,282,283,284,285,286,287,288,289,290,291,292,293,295,297,298,
299,300,301,302,306,307,308,309,310,311,312,313,314,315,316,318,319,321,322,
323,324,325,327,328,329,330,331,332,334,335,336,337,338,339,340,341,342,343,
346,347,348,349,350,369,370,371,387,392,393,397,398,401,402,405,413,417,418,
419,420,421,422,424,425,426,427,430,431,433,434,435,436,437,439,442,443,453,
454,455,456,457,458,459,460,461,462,464,467,470,473,474,475,476,477,478,479,
480,481,483,484,500,501,502,506,507,523,524,525,526,528,529,530,532,535,536,
537,538,539,540,545,547,551,555,562,576,583,584,599,600,601,602,603,604,605,
606,607,608,622,628,629,631,632,633,635,636,642,644,667,668,669,670,671,672,
673,674,690,699,700,704,715,727,728,731,750,753,762,763,771,772,773,777],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,25,27,28,33,35,36,37,38,39,
40,41,45,51,52,54,56,57,59,60,61,62,64,65,66,67,68,69,71,72,74,76,80,84,87,89,
91,92,95,99,100,101,102,108,109,110,113,121,128,130,132,133,134,136,139,141,
150,151,152,153,154,155,156,164,165,166,169,172,175,180,181,187,190,197,199,
203,209,216,219,223,224,230,231,232,233,234,235,244,253,254,256,257,258,259,
260,262,268,270,273,274,282,283,284,285,290,291,292,296,298,300,301,303,305,
311,313,315,316,343,348,356,357,358,359,361,370,371,372,373,374,376,377,382,
383,393,395,397,405,406,413,414,416,417,418,433,444,445,446,453,454,475,487,
491,492,496,497,506,507,508,509,510,511,512,513,518,521,524,540,542,563,564,
565,566,567,568,590,596,599,600,601,608,609,610,625,626,637,638,644,649,650,
651,652,664,673,682,692,693,701,702,703,704,717,718,727,729,730,741,747,749,
755,756,757,759,778],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,23,26,
27,28,31,33,35,36,37,38,39,40,41,45,51,52,54,56,57,59,60,62,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,79,80,82,83,84,87,88,89,91,92,95,97,99,101,102,108,
109,110,113,121,128,130,134,136,141,146,147,151,153,154,157,158,159,162,163,
164,165,166,167,169,172,177,178,179,180,185,187,188,190,198,199,201,202,203,
205,206,209,224,227,230,244,253,254,256,257,258,259,260,261,262,273,274,277,
278,282,286,289,293,297,298,299,300,301,303,304,305,307,308,311,313,315,316,
318,319,335,337,338,339,343,359,370,371,376,381,384,392,393,397,398,405,406,
412,413,416,417,418,427,430,439,440,441,453,454,456,462,475,491,492,500,501,
506,507,508,518,519,520,521,522,523,524,525,526,528,530,555,563,565,590,597,
599,601,604,605,611,615,622,625,626,627,631,642,644,653,661,664,667,679,699,
701,703,704,711,717,727,736,743,750,759,762,767,771,779],[1,2,3,4,5,7,8,9,10,
11,12,13,14,15,16,17,19,20,21,22,23,27,28,29,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,59,60,62,64,65,66,69,72,76,78,79,82,85,
86,87,89,90,92,95,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,130,134,136,140,
147,153,157,164,165,166,167,168,169,170,171,177,184,187,189,190,192,199,200,
204,209,214,215,220,230,232,234,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,254,256,263,264,268,269,274,278,279,287,295,298,
301,302,303,309,310,311,312,313,314,315,317,321,343,349,355,368,370,371,378,
381,382,385,386,387,388,389,390,391,392,401,402,405,413,418,421,422,447,448,
451,454,455,457,458,459,465,475,477,480,501,502,506,507,514,517,518,537,545,
555,556,560,563,572,573,578,579,583,606,607,616,620,626,643,644,647,651,653,
659,683,686,688,700,704,707,721,726,731,750,763,776,780],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,
38,39,40,41,43,44,45,46,48,49,51,52,54,56,57,59,60,61,62,64,65,66,67,68,69,71,
72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,99,100,
101,102,103,104,105,107,108,109,110,111,112,113,114,115,117,118,119,121,122,
123,124,128,130,131,132,133,134,135,136,137,138,139,140,141,142,143,146,147,
148,149,150,151,152,153,154,155,156,161,162,164,165,166,167,168,169,170,172,
173,174,175,176,177,178,179,180,181,182,183,184,187,188,189,190,191,195,197,
198,199,200,201,202,203,204,205,208,209,211,215,216,218,219,220,221,223,224,
230,231,232,233,234,235,238,239,240,244,245,246,248,249,252,253,254,256,257,
258,259,260,262,263,264,265,266,267,268,269,270,271,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,296,298,300,301,302,
303,305,306,307,309,310,311,312,313,314,315,316,319,320,321,322,325,328,334,
335,336,342,343,346,347,348,349,350,356,357,358,359,360,361,362,370,371,372,
373,374,376,377,378,379,380,381,382,383,387,392,393,394,395,396,397,398,399,
401,402,405,406,407,408,409,412,413,414,415,416,417,418,419,420,421,422,423,
424,425,426,427,430,431,433,434,435,436,437,444,445,446,448,449,453,454,455,
457,458,459,460,461,474,475,476,477,478,479,480,486,487,488,489,490,491,492,
493,494,495,496,497,498,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,518,521,524,526,527,530,531,532,533,535,536,537,538,539,540,541,
542,543,544,545,546,547,551,563,564,565,566,567,568,569,570,583,584,587,588,
589,590,591,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,
609,610,611,612,613,614,616,617,624,625,626,629,630,636,637,638,644,646,647,
648,649,650,651,652,653,654,655,656,657,662,663,664,665,667,668,669,670,671,
672,673,674,675,676,682,686,687,692,693,700,701,702,703,704,705,706,707,709,
713,715,717,718,719,720,723,724,727,728,729,730,731,732,733,734,735,736,741,
744,745,746,747,748,749,751,752,753,755,756,757,759,760,761,764,765,766,770,
778,781],[1,2,3,4,5,6,7,8,9,10,12,14,15,17,19,20,22,26,27,28,29,30,31,32,33,
34,35,38,42,43,44,47,48,49,50,54,56,57,59,64,65,66,67,68,69,70,72,73,74,75,76,
77,79,82,90,94,95,99,100,101,104,105,106,114,115,116,120,128,134,135,136,137,
138,139,140,141,147,157,158,159,160,161,162,163,164,165,167,168,170,171,177,
186,187,188,189,191,192,193,194,195,196,207,208,209,210,212,213,214,224,230,
231,236,237,238,241,242,253,256,257,258,259,260,261,262,263,264,277,278,281,
296,297,298,299,303,304,309,310,317,321,324,325,326,331,332,333,345,359,361,
362,368,370,371,378,381,384,386,392,398,399,400,401,405,406,407,410,411,412,
427,428,445,447,448,450,451,452,458,463,464,465,466,468,469,491,492,493,495,
501,502,518,519,520,522,523,529,532,533,534,555,556,557,558,559,560,563,564,
565,569,572,573,575,591,597,616,618,619,620,621,623,632,634,644,647,653,655,
661,678,679,680,682,683,684,691,700,710,712,717,720,726,739,746,750,758,767,
776,782],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,
28,29,31,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,52,54,56,57,59,60,62,
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,
90,91,92,94,95,96,97,98,99,101,102,103,104,105,107,108,109,110,111,112,113,
114,115,117,118,119,121,122,123,124,128,130,131,134,136,140,141,142,143,146,
147,148,150,151,152,153,154,155,156,157,158,159,161,162,163,164,165,166,167,
168,169,170,172,173,174,176,177,178,179,180,181,182,183,184,185,187,188,189,
190,194,195,197,198,199,200,201,202,203,204,205,206,208,209,210,211,215,216,
217,218,219,220,221,224,227,228,229,230,232,234,238,239,240,244,245,246,248,
249,252,253,254,256,257,258,259,260,261,262,263,264,268,269,271,273,274,276,
277,278,279,282,283,284,285,286,287,288,289,290,291,292,293,294,295,297,298,
299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,318,
319,321,322,323,324,325,327,328,329,330,331,332,334,335,336,337,338,339,340,
341,342,343,346,347,348,349,350,359,360,369,370,371,376,378,381,382,384,387,
392,393,394,396,397,398,401,402,405,406,408,409,410,412,413,415,416,417,418,
419,420,421,422,424,425,426,427,430,431,433,434,435,436,437,439,440,441,442,
443,448,449,453,454,455,456,457,458,459,460,461,462,464,467,470,473,474,475,
476,477,478,479,480,481,483,484,489,490,491,492,500,501,502,506,507,508,510,
512,514,516,518,519,520,521,522,523,524,525,526,528,529,530,532,535,536,537,
538,539,540,544,545,546,547,551,555,561,562,563,565,576,583,584,590,593,597,
598,599,600,601,602,603,604,605,606,607,608,610,611,613,615,616,617,619,622,
624,625,626,627,628,629,631,632,633,635,636,642,644,647,648,651,653,661,662,
663,664,667,668,669,670,671,672,673,674,675,679,681,686,687,690,699,700,701,
703,704,707,710,711,713,715,717,727,728,729,731,732,734,736,740,743,748,750,
752,753,759,762,763,767,770,771,772,773,775,777,779,783],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,59,60,62,64,65,66,
67,68,69,70,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,147,153,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,175,176,177,178,179,180,181,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,212,213,214,215,216,217,219,220,222,224,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,275,277,
278,279,280,281,287,294,295,296,297,298,299,301,302,303,304,306,307,308,309,
310,311,312,313,314,315,317,318,319,320,321,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,340,341,343,344,345,346,347,348,349,351,
352,353,354,355,358,359,360,361,362,368,370,371,378,381,382,383,384,385,386,
387,388,389,390,391,392,393,395,396,397,398,399,400,401,402,405,406,407,410,
411,412,413,414,415,416,418,419,421,422,423,424,427,428,444,445,446,447,448,
450,451,452,454,455,456,457,458,459,462,463,464,465,466,467,468,469,470,471,
472,473,475,476,477,480,481,482,483,484,485,489,490,491,492,493,494,495,496,
497,498,501,502,506,507,514,516,517,518,519,520,522,523,525,526,527,528,529,
530,531,532,533,534,537,539,540,541,542,543,544,545,549,555,556,557,558,559,
560,563,564,565,568,569,571,572,573,574,575,576,577,578,579,580,581,582,583,
588,589,590,591,593,594,595,596,597,606,607,616,618,619,620,621,622,623,626,
627,628,629,630,631,632,633,634,635,643,644,647,648,649,650,651,653,655,657,
658,659,661,663,665,678,679,680,682,683,684,685,686,688,689,690,691,700,704,
706,707,710,711,712,716,717,718,720,721,722,726,731,738,739,740,744,746,747,
748,750,754,758,761,763,767,775,776,780,782,784],[1,2,3,4,5,6,7,8,9,10,12,14,
15,17,19,20,21,22,24,27,29,31,32,33,34,35,38,42,43,44,47,48,49,50,54,55,56,57,
58,59,60,62,64,65,66,68,69,72,76,79,82,87,89,90,95,98,99,101,104,105,106,114,
115,116,120,128,129,131,136,140,141,142,143,145,147,148,151,153,154,157,164,
165,167,168,170,171,176,177,184,187,189,192,199,200,209,214,215,220,224,225,
226,230,236,237,238,241,242,253,255,256,260,263,264,271,282,287,288,295,298,
303,309,310,317,321,349,359,360,365,366,368,370,371,376,378,386,392,396,401,
404,405,406,413,415,434,438,447,448,451,458,465,489,490,492,501,502,506,508,
518,544,545,554,555,556,560,563,565,572,573,592,593,599,602,606,613,616,620,
640,644,647,648,670,677,683,695,700,701,717,726,732,737,748,750,763,776,785],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,62,64,65,66,68,69,72,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,
92,93,95,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,150,151,152,153,154,
155,156,157,161,162,164,165,166,167,168,169,170,171,172,175,176,177,178,179,
180,181,184,187,188,189,190,191,192,195,197,198,199,200,201,202,204,205,208,
209,214,215,216,219,220,224,225,226,228,230,232,234,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,260,263,264,265,
266,267,268,269,270,271,272,274,275,278,279,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,295,298,301,302,303,306,307,309,310,311,312,313,314,
315,317,319,320,321,325,328,334,335,336,343,346,347,348,349,355,358,359,360,
361,362,363,364,365,366,368,370,371,376,378,381,382,385,386,387,388,389,390,
391,392,393,395,396,398,399,401,402,403,404,405,406,407,413,414,415,418,421,
422,423,429,430,431,433,434,435,436,437,438,443,447,448,451,454,455,457,458,
459,465,475,476,477,480,489,490,492,493,494,495,496,497,498,499,500,501,502,
506,507,508,510,512,514,517,518,526,527,530,531,532,533,537,540,541,542,543,
544,545,548,551,552,553,554,555,556,560,563,565,572,573,578,579,583,588,589,
591,592,593,594,595,596,599,600,602,604,605,606,607,608,610,611,613,616,620,
626,629,630,640,641,642,643,644,647,648,650,651,653,655,659,665,666,667,668,
669,670,671,673,674,675,677,683,686,688,694,695,696,700,701,704,706,707,715,
717,721,725,726,729,731,732,736,737,746,747,748,750,752,761,762,763,772,776,
780,785,786],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,71,72,74,76,78,79,81,82,85,86,87,
89,90,91,92,95,96,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,134,
136,140,141,142,143,145,147,148,149,151,153,154,157,158,159,164,165,166,167,
168,169,170,171,173,174,176,177,182,183,184,187,189,190,192,199,200,203,204,
209,211,214,215,218,220,221,223,224,225,226,230,232,234,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,262,263,264,268,269,271,273,274,276,277,278,279,282,287,288,294,295,298,
300,301,302,303,305,309,310,311,312,313,314,315,316,317,321,322,342,343,349,
350,355,356,357,359,360,365,366,368,370,371,372,375,376,378,381,382,384,385,
386,387,388,389,390,391,392,394,396,397,401,402,404,405,406,408,409,412,413,
415,416,417,418,419,420,421,422,424,425,426,427,432,434,438,447,448,449,451,
453,454,455,457,458,459,460,461,465,474,475,477,478,479,480,486,487,488,489,
490,491,492,501,502,505,506,507,508,514,516,517,518,521,524,535,536,537,538,
539,544,545,546,547,550,554,555,556,560,563,565,572,573,578,579,583,584,585,
586,587,590,592,593,597,598,599,601,602,603,606,607,613,616,617,620,624,625,
626,636,637,639,640,643,644,645,647,648,651,653,659,660,662,663,664,670,672,
677,679,683,686,687,688,692,695,700,701,703,704,707,708,713,714,717,721,723,
726,727,728,731,732,734,737,742,748,750,753,755,759,763,764,767,770,774,775,
776,780,785,787],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,
348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,
367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,
424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,
443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,
462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,
481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,
500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,
557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,
576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,
595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,
614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,
652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,
671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,
728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,
747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,
766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,
785,786,787,788]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,2,1,1],[1,1,2,
1],[1,1,2,1],[1,3,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,
1],[1,1,1,1],[1,1,1,1],[1,1],[1,7,7,1],[1,4,3,1,3,3,1],[1,6,1,4,3,1],[1,2,5,2,
1,4,1],[1,4,3,1,3,3,1],[1,2,5,1,2,2,2,1],[1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,1,4,
1,1,1,1],[1,3,2,1,1,1,1],[1,5,2,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,1,4,1,
1,1,1],[1,5,2,1,1],[1,1,3,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,3,1,2,1],[1,2,1,1,
2,1],[1,2,1,1,1,1,1],[1,1,1,1],[1,2,2,1],[1,4,1],[1,1,1,2,1],[1,3,1,1],[1,1,
1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,2,1,1,1,1,2,1],[1,3,1,1,3,1],[1,1,2,1,1,2,1,
1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,7,1,3,2,1,
1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,7,1,3,1,1,1,1],[
1,1,6,1,3,2,1,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,
6,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,7,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,
1],[1,1,1,1,1,1],[1,1,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,6,9,2,6,9,18,6,9,
1],[1,6,9,1,1,9,9,9,6,3,3,9,1],[1,10,5,10,15,10,5,10,1],[1,6,5,4,2,3,4,2,1,1,
4,1,1],[1,8,3,1,4,5,3,2,1,1,2,2,1,1],[1,2,9,8,1,4,2,1,1,2,2,1,1],[1,2,9,1,4,4,
4,2,2,4,1,1],[1,4,7,1,2,3,3,4,2,1,1,2,2,1,1],[1,2,9,2,1,2,6,2,1,1,1,1,2,2,1,
1],[1,4,7,1,3,2,5,2,2,1,1,2,2,1,1],[1,4,7,1,3,5,2,2,2,1,1,2,2,1,1],[1,6,5,4,3,
2,2,2,1,1,1,1,2,2,1,1],[1,6,5,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,5,2,1,4,4,1,
2,1],[1,4,3,1,3,3,2,2,1,1,1,1],[1,2,5,2,1,4,4,1,2,1],[1,6,1,4,3,4,1,2,1],[1,4,
3,1,3,3,2,2,1,1,1,1],[1,2,5,1,2,2,2,2,2,1,1,1,1],[1,2,5,2,1,4,1,2,1,1,2,1],[1,
4,3,1,3,3,1,3,1,3,3,1],[1,4,3,1,3,3,3,1,1,3,3,1],[1,2,1,1,2,2,2,1,2,1],[1,2,1,
1,3,3,1,1,1,1],[1,2,1,1,2,1,2,1],[1,5,2,3,1,1,1,1],[1,9,2,2,1,1,1,1,1],[1,9,2,
2,6,6,1,1],[1,9,4,12,1,1],[1,9,2,2,6,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,3,1,9,
3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,2,2,2,2,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,2,2,
1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,
3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,4,1,3,1,
1],[1,9,1,3,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,3,
1,1,3,1],[1,3,1,1,3,1],[1,1,10,5,1,2,1,1],[1,6,5,5,1,1,1,1,1],[1,1,10,5,1,2,1,
1],[1,1,1,1,1,1],[1,1,5,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,7,1,7,7,1,7,
1],[1,6,1,1,4,3,1,6,1,3,4,1],[1,4,3,1,1,3,3,3,4,1,1,3,3,1],[1,2,5,1,2,1,4,5,2,
1,2,1,4,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,
3,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,9,1,1,3,3,2,3,3,1,1,1,1],[1,1,8,1,3,1,3,2,2,1,3,1,1,1,1],[1,7,2,1,3,1,3,2,2,
1,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,
6,1,1,3,3,2,3,3,1,1,1,1],[1,1,8,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,
1,1,1,1],[1,1,8,1,3,1,3,2,2,1,3,1,1,1,1],[1,1,1,3,1,1,3,1],[1,4,3,4,1,3,3,4,1,
1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,
6,1,4,4,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,7,4,7,4,1,1,1],[1,2,1,1,1,2,1,2,1,1,2,
1],[1,2,1,1,1,2,1,2,1,1,2,1],[1,3,1,1,2,3,1,1,2,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,
3,1],[1,8,7,1,3,7,9,2,2,1,2,3,1,1,2,1,2,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,
12,3,1,10,9,3,1,3,3,1,3,3,1],[1,2,13,1,1,6,6,6,4,1,2,3,1,2,2,2,1],[1,4,11,1,3,
6,4,6,1,3,2,1,3,1,2,1,2,1,1],[1,6,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,4,11,1,3,4,6,
6,1,2,1,1,2,3,1,1,2,2,1,1],[1,2,1,1,1,3,3,1,2,3,1,1,1,1],[1,2,1,1,1,6,1,2,3,1,
2,1],[1,5,1,2,1,5,1,2,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,
1,1],[1,2,3,1,1,1,1,3,2,1,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,7,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,1,12,1,
3,3,1,4,1,3,1,1,1,1],[1,13,1,6,1,4,1,3,2,1,1],[1,1,12,1,3,3,1,2,2,1,3,1,1,1,
1],[1,4,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,4,3,1,3,4,
1,1,1,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,2,4,1],[1,3,6,4,3,6,4,1],[1,3,10,3,1,
1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,14,7,1,1,2,1],[1,1,7,1,1,1],[1,5,1,1,5,1,
1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,
1],[1,3,1,1,1,3,1,1],[1,6,13,4,14,3,12,6,2,1,3,6,12,2,3,6,3,6,6,1],[1,6,13,2,
12,9,18,6,1,6,9,6,6,3,1,3,3,1],[1,10,9,2,4,6,11,18,4,2,6,1,9,4,4,4,1,2,1,1,2,
1,2,1],[1,10,9,10,2,15,10,4,2,4,5,1,10,4,4,4,1,2,1,1,2,1,2,1],[1,6,13,1,1,9,
11,11,8,2,2,2,3,3,10,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1],[1,6,5,4,2,3,4,10,1,1,4,
1,4,1,2,1],[1,2,9,8,1,4,4,6,1,1,2,2,2,3,1,1,1,1],[1,6,5,4,2,3,4,2,8,1,1,4,1,4,
1,2,1],[1,8,15,2,1,6,15,9,24,6,1,3,8,9,3,9,1,3,3,3,6,3,3,1,1,3,3,3,3,1,1],[1,
12,11,1,10,21,16,9,6,3,1,3,5,12,9,3,1,3,3,6,3,3,1,1,3,3,3,3,1,1],[1,6,13,4,2,
3,4,8,4,2,2,2,1,1,2,4,4,4,4,4,4,1,2,1,1,2,2,1,1],[1,6,5,4,2,3,4,2,1,1,4,1,4,1,
2,1],[1,4,11,1,2,3,5,6,2,5,3,1,1,1,4,2,2,4,4,1,3,1,1,1,1,1,1,1,1],[1,8,7,1,4,
5,2,5,2,3,5,1,1,1,2,2,2,4,2,1,4,3,1,1,1,1,1,1,1,1],[1,2,13,2,1,4,4,4,4,2,1,2,
4,1,1,2,2,1,1,1,2,2,1],[1,2,5,2,1,2,4,2,1,2,1,1,2,2,2,1,1,1,1],[1,6,5,1,1,5,3,
3,4,2,4,1,1,1,1,1,1,1,3,3,6,1,1,1,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,
6,6,1,1,1],[1,9,4,9,12,1,1,1],[1,3,5,8,1,3,4,1,2,1,1],[1,3,4,1,8,1,3,4,1,2,1,
1],[1,3,9,4,1,3,4,2,1,1,1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,3,1,4,8,1,3,4,1,2,1,
1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,9,6,2,2,9,6,6,2,6,1,
6,1,2,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,3,12,1,1,2,9,1,3,4,6,3,3,1,3,3,1,1,1,
1],[1,15,1,1,2,9,4,1,3,6,3,3,1,3,3,1,1,1,1],[1,15,3,1,9,1,9,1,3,3,3,1,3,3,1,1,
1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,15,2,2,9,6,2,6,6,1,6,1,2,1],[1,6,9,1,
1,2,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,1,4,3,6,3,3,1,3,3,1,1,1,
1],[1,15,4,9,12,2,6,1,6,1,2,1],[1,1,18,2,2,9,12,12,2,2,1,6,6,2,1,1],[1,10,9,2,
2,9,6,6,6,6,2,2,1,6,6,1,1,1,1],[1,19,1,1,2,9,6,3,3,6,6,1,1,2,1,3,3,6,1,1,1,
1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,7,2,2,3,2,8,2,1,3,1,
1,2,1],[1,1,6,2,2,3,2,2,2,6,1,3,1,1,2,1],[1,3,4,1,1,2,3,1,1,1,3,4,2,1,3,1,1,1,
1,1],[1,3,4,1,1,2,3,1,1,4,3,1,2,1,3,1,1,1,1,1],[1,8,15,1,15,15,1,5,1,3,3,1,3,
3,1],[1,8,15,1,15,15,1,5,1,3,3,1,3,3,1],[1,3,10,1,5,5,1,5,2,3,1,1,1,1],[1,3,
10,1,5,5,1,5,2,3,1,1,1,1],[1,6,5,5,10,1,5,1,1,1,2,1,1],[1,6,5,5,10,1,5,1,1,1,
2,1,1],[1,6,5,5,10,1,5,1,1,1,2,1,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,20,5,
5,1,1,5,4,1,1,1,1,1],[1,6,5,5,1,5,1,5,1,1,1,1,1,1,1],[1,5,1,1,1,1,1,5,1,1,1,
1],[1,1,7,7,1,1,1,1],[1,21,1,7,1,3,1,1],[1,7,7,7,1,1,1,1],[1,2,2,1,1,2,2,1],[
1,6,9,1,2,6,9,18,9,6,6,9,2,6,9,18,1,6,9,1],[1,6,9,4,2,6,9,18,12,6,9,1,4,1,3,
1],[1,6,9,4,2,6,9,18,12,6,9,1,4,1,3,1],[1,6,9,4,1,1,9,9,9,6,12,3,3,9,1,4,1,3,
1],[1,6,9,4,1,1,9,9,9,6,12,3,3,9,1,4,1,3,1],[1,10,5,4,10,15,10,4,8,5,10,1,4,1,
2,1,1],[1,6,9,16,2,6,9,18,6,9,8,12,1,1],[1,6,9,16,2,6,9,18,6,9,8,12,1,1],[1,6,
9,16,1,1,9,9,9,6,3,3,9,4,4,12,1,1],[1,18,13,1,22,39,30,4,4,1,6,13,30,3,4,6,4,
6,12,3,1,4,6,4,1],[1,10,21,1,1,3,21,27,21,18,2,6,3,4,7,9,27,1,3,3,1,6,3,6,6,6,
3,1,3,2,3,6,1],[1,4,3,1,1,3,3,3,9,3,4,1,9,9,1,3,3,1,3,3,1,3,3,1],[1,16,3,4,1,
12,9,3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,12,7,4,3,4,9,9,6,4,4,4,3,1,6,6,3,1,4,3,
1,1,1,1],[1,10,9,4,1,3,9,9,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,15,4,
1,3,9,6,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,10,9,4,3,1,9,3,9,3,3,4,4,4,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,6,13,4,4,3,6,6,6,3,3,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[
1,4,15,4,1,3,6,9,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,4,15,4,1,6,3,3,12,6,8,4,3,
1,6,6,3,1,4,3,2,1,1],[1,6,13,4,10,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,4,
15,4,1,3,6,9,6,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,10,9,4,1,3,9,9,3,3,3,4,4,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,4,3,6,6,6,3,3,4,4,4,1,3,6,6,3,1,4,3,1,1,1,
1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,
1],[1,6,1,1,4,3,12,1,6,1,6,3,4,4,3,1,2,1],[1,6,5,1,4,2,3,4,2,5,6,1,1,4,1,2,3,
4,4,2,1,1,1,1,4,1],[1,8,3,1,1,4,5,3,2,3,8,1,1,2,2,1,1,5,4,3,2,1,1,1,1,2,2,1],[
1,2,9,1,8,1,4,2,9,2,1,1,2,2,1,8,1,4,2,1,1,1,1,2,2,1],[1,2,25,1,1,12,12,12,2,8,
1,2,6,12,1,1,4,4,4,2,3,1,2,4,1],[1,8,19,1,3,7,15,6,6,2,2,6,1,2,3,3,6,6,1,1,1,
2,3,2,2,2,2,3,1,1,1,2,2,1],[1,2,1,1,1,6,2,6,1,2,1,6,1,2,2,2,3,1,2,1],[1,2,1,1,
1,5,9,1,2,1,3,3,1,1,3,2,3,1,1,1,1],[1,2,5,1,2,1,4,4,5,2,1,2,2,1,4,4,1,1,2,1],[
1,4,3,1,1,3,3,2,2,3,4,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,2,5,1,2,1,4,4,5,2,1,2,2,1,
4,4,1,1,2,1],[1,8,7,1,3,7,9,5,3,2,2,1,2,3,7,9,1,1,1,1,2,1,2,2,3,1,1,1,2,2,1],[
1,10,9,1,1,3,9,9,3,3,3,2,2,3,4,1,3,3,3,3,3,3,1,3,3,1,1,1,2,1,2,3,1,1,1,1,1,1,
1,1],[1,6,13,1,4,3,6,6,6,3,3,4,1,6,1,3,6,6,3,3,4,1,1,2,2,2,3,1,2,2,1,1,1],[1,
4,15,1,1,3,6,9,6,6,4,3,4,1,3,6,6,3,1,3,3,2,2,2,2,3,1,2,2,1,1,1],[1,2,17,1,2,1,
6,10,6,3,3,4,5,2,1,3,6,6,3,2,1,4,1,1,2,2,2,3,1,2,2,1,1,1],[1,8,11,1,3,2,7,9,4,
6,2,2,5,2,1,3,6,6,3,2,1,4,2,1,2,1,2,3,1,2,2,1,1,1],[1,2,13,1,1,6,6,6,2,6,4,1,
2,3,1,3,1,2,2,2,2,2,3,1,1,1,1],[1,8,7,1,3,7,9,2,6,2,2,1,2,3,1,3,1,2,1,2,1,2,2,
3,1,1,1,1],[1,4,3,4,1,3,3,3,1,4,1,3,3,1,4,1,1,1],[1,4,3,4,1,3,3,1,3,4,1,3,3,1,
4,1,1,1],[1,2,1,1,1,2,1,2,1,6,1,2,3,1,2,1],[1,2,5,1,2,1,4,5,2,1,2,1,1,2,2,1,4,
1,1,1,2,1,2,1],[1,12,11,1,10,9,6,4,6,1,3,3,3,2,3,3,3,6,4,3,1,1,1,3,2,1,2,3,1,
3,1,1,1,1,1,1,1,1],[1,6,17,1,1,9,15,4,6,4,1,5,2,3,3,3,6,4,3,1,1,1,2,3,1,2,3,1,
3,1,1,1,1,1,1,1,1],[1,8,15,1,1,1,15,9,9,1,3,1,5,5,3,3,1,3,3,3,3,1,1,1,3,3,5,1,
3,1,1,1,1,1,1,1,1],[1,14,9,1,1,10,15,9,4,3,3,5,3,3,4,6,3,1,1,1,3,3,5,1,3,1,1,
1,1,1,1,1,1],[1,6,17,1,1,9,4,15,6,4,1,2,3,3,2,3,3,4,6,3,1,1,1,1,2,2,3,3,1,3,1,
1,1,1,1,1,1,1],[1,17,1,2,6,1,4,5,1,3,3,2,2,1,3,1,1,1,1],[1,13,1,6,3,4,1,3,1,3,
2,3,3,1,1,1,1],[1,13,4,6,3,4,4,4,3,1,3,4,3,1,1],[1,13,4,6,3,4,4,4,3,1,3,4,3,1,
1],[1,13,4,6,3,4,4,4,3,1,3,4,3,1,1],[1,25,2,4,10,20,1,1],[1,5,2,4,1,5,1,1],[1,
27,3,6,4,27,54,36,3,6,4,9,12,18,1,1],[1,9,3,6,4,6,6,9,3,6,4,1,6,6,1,1],[1,9,3,
6,4,3,3,6,9,3,6,4,1,3,3,6,1,1],[1,3,3,6,4,1,6,6,3,6,4,3,2,2,1,1],[1,3,3,6,4,1,
3,3,6,3,6,4,3,1,2,1,1,1],[1,9,3,10,3,9,9,3,1,3,9,1,1],[1,9,3,10,9,3,9,3,1,1,3,
1,1],[1,9,3,10,12,9,3,1,1,3,1,1],[1,9,3,1,3,9,1,3,3,1,1,1],[1,11,1,1],[1,7,7,
8,1,1],[1,3,14,1,7,7,1,7,3,2,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,
6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[
1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,15,1,
5,1,5,1,3,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,5,
1,5,1,5,1,1,1,1],[1,8,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,8,15,1,15,1,1,5,
5,1,3,3,5,1,3,1,1,1,1],[1,1,7,14,1,7,1,2,1,1],[1,10,17,10,14,15,10,12,6,12,2,
5,3,10,12,6,12,12,2,3,6,6,1,3,6,6,3,6,6,1,3,3,1],[1,10,17,2,4,18,11,26,4,14,2,
6,1,11,4,14,4,20,2,3,2,10,1,3,2,10,1,2,6,6,1,2,1,1,2,1],[1,14,21,2,10,6,31,22,
30,12,6,2,6,10,5,9,14,18,6,6,10,10,12,4,12,4,1,6,6,10,1,2,1,1,6,1,6,6,6,6,6,
10,1,2,1,2,2,2,2,1,2,1,1,2,2,2,1,2,2,2,1],[1,10,9,10,2,15,10,4,10,4,5,1,10,4,
4,4,1,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,10,9,2,4,6,11,18,4,2,8,6,1,9,4,4,4,1,2,
4,4,1,1,2,1,2,2,2,1,1,1,1],[1,6,21,4,14,3,4,16,4,2,6,2,2,1,3,2,4,4,6,4,12,4,4,
2,3,6,2,4,3,6,1,2,2,6,1,2,4,4,1,1,1,2,2,1],[1,6,13,4,2,3,4,8,4,2,10,10,1,1,2,
4,4,4,4,4,4,1,4,4,2,1,1,2,2,2,2,1,1,1,1,1],[1,21,5,8,1,9,9,18,24,3,9,4,1,2,1,
3,3,4,3,6,3,1,1],[1,3,18,5,8,1,9,9,18,24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,
4,1,8,1,9,9,12,6,24,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,1,4,8,1,9,9,6,12,24,
3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,3,18,1,4,8,1,9,9,6,12,24,3,9,4,1,2,1,3,3,4,3,
6,3,1,1],[1,12,27,2,2,1,27,27,6,6,18,18,6,6,9,1,2,2,18,18,18,18,1,3,3,6,6,1,3,
3,1],[1,4,3,5,8,1,3,3,3,8,8,1,4,1,2,1,3,3,4,1,1,2,1,1],[1,6,1,1,4,8,4,3,1,6,4,
8,1,4,1,2,3,4,4,1,1,2,1,1],[1,7,1,4,8,7,7,4,8,1,4,1,2,7,4,1,1,2,1,1],[1,15,6,
2,2,9,9,9,8,6,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,2,6,6,9,1,6,
6,1,2,2,1,1,1,1],[1,21,4,18,9,12,4,12,9,1,12,1,4,1,2,1],[1,9,4,27,12,9,1,1,3,
1],[1,9,5,8,1,3,3,4,9,3,4,1,2,1,3,3,4,1,3,1,1],[1,9,1,4,8,3,1,3,4,9,3,4,1,2,3,
1,3,4,1,3,1,1],[1,3,6,1,4,8,1,3,3,4,6,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,4,1,8,
1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,6,9,4,1,3,3,4,3,6,3,4,2,1,1,3,3,4,1,
3,1,1],[1,6,3,1,4,8,1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,9,1,4,8,4,3,4,9,3,
4,1,2,4,3,4,1,3,1,1],[1,9,1,4,8,1,3,3,4,9,3,4,1,2,1,3,3,4,1,3,1,1],[1,6,9,5,8,
1,9,9,1,3,15,3,4,1,2,1,3,3,4,3,1,1,1],[1,6,9,1,4,8,1,9,9,1,3,3,12,3,4,1,2,1,3,
3,4,3,1,1,1],[1,12,3,1,4,8,10,9,3,1,3,12,3,4,1,2,1,3,3,4,3,1,1,1],[1,6,9,4,1,
8,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,10,9,2,2,9,18,6,6,6,6,2,2,9,1,6,
6,1,1,1,2,1,1],[1,10,9,2,2,9,9,9,6,6,6,6,2,2,9,1,6,6,1,1,1,1,1,1,1],[1,10,9,2,
2,9,6,6,6,6,6,2,2,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,10,9,2,2,9,6,6,6,6,6,2,2,9,1,
2,6,6,6,1,1,1,6,1,2,1],[1,10,21,2,2,9,6,18,18,6,6,6,4,6,2,2,12,9,1,6,2,12,6,
12,6,1,1,1,4,6,2,2,1,2,1],[1,22,9,2,2,24,27,10,6,6,6,14,2,9,1,6,14,18,6,1,1,1,
4,6,2,2,1,2,1],[1,6,25,1,1,2,9,12,12,18,1,1,7,4,3,6,6,4,3,3,4,2,9,1,3,3,4,3,6,
3,6,3,4,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,7,18,2,2,3,9,3,2,12,12,8,2,
9,1,3,1,1,6,6,3,2,1,2,3,3,1,1,1,1],[1,1,24,2,2,3,9,3,12,2,12,2,2,6,9,1,3,1,1,
6,6,3,2,1,2,3,3,1,1,1,1],[1,3,6,2,2,1,3,3,2,6,6,6,3,1,2,2,3,1,1,3,3,2,1,3,1,1,
1,1],[1,9,2,2,1,3,3,2,12,6,3,1,2,2,3,1,1,3,3,2,1,3,1,1,1,1],[1,1,1,4,8,3,1,4,
8,1,4,3,4,1,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,8,15,1,15,15,5,15,1,5,15,15,1,
3,3,5,3,1,1,3,3,1,3,3,1],[1,8,15,1,15,15,15,5,1,5,15,15,1,3,3,5,1,3,1,3,3,1,3,
3,1],[1,10,5,10,15,10,16,5,10,1,1],[1,10,25,1,1,25,15,15,1,5,1,5,5,1,5,5,5,5,
1,5,5,5,1,1,3,5,3,1,1,1,1,1,1,1,1,1,1],[1,8,15,1,15,15,10,10,1,5,5,5,1,3,3,5,
2,2,1,3,3,1,1,1,1],[1,8,15,1,15,15,10,10,1,5,5,5,1,3,3,5,2,2,1,3,3,1,1,1,1],[
1,6,5,5,11,15,1,5,5,5,1,1,1,5,2,2,1,1,1,1,1,1,1],[1,6,5,5,6,10,10,1,5,10,1,1,
1,5,1,1,2,1,1,1,1,1,1,1],[1,3,6,13,3,3,6,4,6,1,1,2,1],[1,3,7,1,21,1,7,3,1,1,3,
1],[1,3,4,1,1,1,3,4,1,1],[1,3,28,1,1,7,3,4,1,1],[1,1,7,7,7,1,7,1,1,1,1,1],[1,
1,14,7,7,7,14,1,7,1,2,1,1,1,2,1],[1,9,2,2,1,6,6,1,9,2,2,1,6,6,1,1],[1,5,2,2,1,
10,10,1,1,2,2,5,2,2,1,1],[1,45,2,2,1,30,30,1,9,2,2,5,6,6,1,1],[1,6,21,16,2,24,
9,18,18,16,3,6,9,18,18,9,8,12,1,9,9,12,3,1,1],[1,18,9,16,2,12,6,15,18,12,6,16,
6,3,9,12,12,12,3,6,8,12,1,3,6,3,6,8,4,3,1,1],[1,6,21,16,1,1,9,15,15,12,6,6,6,
16,3,3,12,6,6,6,6,12,3,3,3,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,6,13,1,4,14,3,
12,6,13,6,2,1,3,6,12,2,3,6,14,3,4,12,6,3,6,6,2,1,3,2,3,6,6,12,1,3,6,6,1],[1,6,
13,16,4,14,3,12,6,16,2,1,3,6,12,2,3,6,4,8,3,6,6,4,8,8,1,1],[1,6,13,16,4,14,3,
12,6,16,2,1,3,6,12,2,3,6,4,8,3,6,6,4,8,4,4,1,1],[1,12,27,4,4,1,18,27,9,54,6,3,
9,4,12,12,18,27,3,9,3,9,9,9,18,9,9,1,4,12,12,3,1,9,9,9,9,3,1,3,3,4,3,1,3,3,
1],[1,12,27,4,2,3,6,27,27,36,18,3,9,4,12,12,12,9,9,27,3,9,9,9,18,9,9,1,4,12,
12,1,3,9,9,9,9,3,1,3,3,4,3,1,3,3,1],[1,24,15,4,1,28,45,30,9,6,9,3,12,4,12,3,
15,30,9,9,3,9,9,18,9,9,1,4,12,12,1,3,9,9,9,9,3,3,1,3,4,3,1,3,3,1],[1,12,27,4,
2,3,6,27,27,36,18,3,9,4,12,12,12,9,9,27,3,9,9,9,18,9,9,1,4,12,12,1,3,9,9,9,9,
3,1,3,3,4,3,1,3,3,1],[1,16,23,4,3,10,33,28,27,18,9,3,4,8,4,4,8,9,5,16,27,9,3,
9,9,18,9,9,1,4,4,8,8,4,3,1,9,9,9,9,3,1,2,1,2,1,4,3,1,2,1,1,2,1],[1,18,9,4,2,
12,6,15,18,12,6,8,12,6,3,9,12,12,12,3,6,1,4,4,4,1,3,6,3,6,2,4,3,3,1,1,1,1],[1,
6,21,4,1,1,9,15,15,12,6,6,6,8,12,3,3,12,6,6,6,6,12,3,3,3,1,4,4,4,1,3,3,3,3,3,
3,2,4,3,3,1,1,1,1],[1,10,17,4,10,6,15,10,12,6,12,8,4,8,5,3,10,12,12,12,3,6,1,
4,4,4,1,3,6,3,6,2,4,2,1,3,1,1,1,1],[1,6,21,4,1,1,9,15,15,12,6,6,6,8,12,3,3,12,
6,6,6,6,12,3,3,3,1,4,4,4,1,3,3,3,3,3,3,2,4,3,3,1,1,1,1],[1,12,27,1,2,3,6,27,
27,36,18,3,9,2,6,9,6,12,9,9,27,3,9,9,9,18,9,9,2,6,9,18,1,3,1,6,3,6,6,6,1,3,9,
9,9,9,3,6,9,1,3,3,3,6,3,2,3,6,3,3,3,1,1,1,3,3,3,3,1],[1,6,13,1,2,12,9,18,6,13,
6,1,6,9,6,6,3,2,12,9,18,6,1,3,3,1,6,9,3,6,6,1,1,3,3,1],[1,10,9,1,2,4,6,11,18,
4,2,9,10,6,1,9,4,4,4,1,2,2,6,11,4,18,2,4,1,1,2,1,2,1,6,9,1,2,4,4,4,1,1,1,2,1,
2,1],[1,6,13,16,2,12,9,18,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,6,13,16,2,
12,9,18,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,18,17,1,22,2,39,30,4,2,12,4,4,
5,6,13,1,30,12,4,12,1,6,2,3,4,4,4,6,4,6,12,2,3,1,6,3,6,1,1,4,4,1,4,6,4,2,4,3,
1,1,1,2,2,1],[1,6,5,1,4,2,3,4,10,5,6,1,1,4,1,4,2,3,4,4,10,1,2,1,1,1,4,4,1,1,2,
1],[1,2,9,1,8,1,4,4,6,9,2,1,1,2,2,2,3,8,1,4,6,4,1,1,1,1,1,2,3,2,2,1,1,1,1,1],[
1,6,29,1,4,2,3,12,16,12,6,2,6,8,5,6,1,1,6,12,12,12,4,12,12,1,6,2,3,4,4,2,2,4,
4,4,2,1,3,6,6,3,1,1,4,4,4,4,1,2,2,4,4,3,1,1,1,2,2,1],[1,6,5,1,4,2,3,4,2,5,6,1,
1,4,1,12,2,3,4,4,2,1,6,1,1,1,4,4,3,1,2,1],[1,6,5,1,4,2,3,4,2,24,5,6,1,1,4,1,
12,2,3,4,4,8,2,1,6,1,1,1,4,4,3,2,1,1],[1,10,33,1,1,3,21,33,27,24,2,2,6,2,10,3,
4,7,9,30,6,6,6,6,12,1,1,3,1,3,3,2,1,6,5,8,8,6,2,2,3,3,3,3,1,3,3,1,2,2,1,1,3,2,
4,6,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,12,11,4,1,10,21,16,9,6,3,1,12,8,3,5,12,9,3,
1,3,3,6,3,3,1,4,4,4,1,1,3,3,3,3,1,2,3,4,1,1,1,1,1],[1,8,15,4,2,1,6,15,9,24,6,
1,3,20,8,9,3,9,1,3,3,3,6,3,3,1,4,4,4,1,1,3,3,3,3,1,5,4,1,1,1,1,1],[1,20,27,1,
1,22,53,48,21,18,5,3,4,8,3,8,7,13,36,27,5,3,9,9,14,7,9,1,5,4,3,1,1,6,8,8,6,6,
16,2,3,3,7,9,9,9,3,1,1,1,1,1,1,2,2,1,4,8,2,4,3,6,1,2,2,2,2,2,2,3,1,1,1,1,1,1,
1,2,2,2,2,1],[1,16,15,4,1,12,9,6,9,6,7,9,8,8,4,1,3,3,6,6,6,12,6,3,6,3,1,4,4,4,
3,3,3,3,3,1,3,2,2,1,4,3,1,1,1,1],[1,4,27,4,1,6,3,9,18,6,9,7,8,8,4,3,1,3,12,6,
6,12,6,3,3,1,4,4,4,3,3,3,3,3,1,3,2,2,1,4,3,1,1,1,1],[1,10,9,4,3,1,9,3,9,6,6,
10,4,4,4,3,1,3,3,3,3,3,3,9,12,1,4,4,4,3,3,3,3,1,3,3,1,1,1,4,3,1,1,1,1],[1,10,
9,4,1,3,9,9,3,10,6,6,4,4,4,1,3,3,3,3,3,3,9,3,12,1,4,4,4,3,3,3,1,3,3,3,1,1,1,4,
3,1,1,1,1],[1,10,9,1,1,3,9,9,3,8,2,12,2,2,3,4,1,3,3,3,3,3,1,7,9,18,1,3,3,2,4,
1,2,1,2,2,2,3,1,3,3,3,3,3,1,1,1,1,1,1,1,1,4,3,2,2,3,1,1,1,1,1,1,1,1],[1,2,29,
1,2,1,12,12,12,4,8,5,2,6,1,2,12,1,1,2,6,2,1,4,4,4,4,3,1,3,6,6,1,1,2,2,1,2,4,2,
3,1,1,1,2,2,1],[1,8,23,1,3,2,7,15,10,6,7,9,2,6,5,2,1,3,3,12,6,6,12,8,3,9,2,1,
4,1,3,1,2,3,2,2,2,4,3,3,3,1,3,3,3,1,2,2,4,2,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,
1],[1,8,15,1,1,4,5,6,9,6,5,15,4,3,8,1,1,3,2,6,6,8,6,1,12,9,1,5,4,3,1,5,2,2,2,
2,1,3,3,3,3,3,3,1,1,2,2,2,2,1,1,3,4,2,2,3,1,1,1,1,1,1,1,1],[1,2,5,1,2,1,6,4,6,
5,2,1,2,1,1,2,6,6,2,1,2,2,4,1,3,3,1,1,2,2,1,2,2,3,1,1,1,1],[1,25,25,2,4,10,20,
10,20,1,1,1],[1,10,25,25,2,4,2,10,20,10,10,1,1,2,1],[1,25,25,2,4,10,20,10,1,1,
1],[1,27,3,6,4,27,18,18,27,3,6,4,27,3,18,18,1,9,3,1],[1,9,18,3,6,4,27,6,6,6,6,
12,9,18,3,6,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,3,6,18,16,1,6,6,9,24,16,1,4,
4,2,2,3,4,2,2,4,4,1,1],[1,9,3,6,4,9,6,6,9,3,6,4,9,1,6,6,1,1,1,1],[1,9,6,3,6,4,
9,6,6,2,6,9,6,12,3,6,4,9,6,1,6,6,2,4,2,6,1,1,6,1,2,1],[1,3,12,3,6,4,9,1,3,4,6,
3,6,6,12,6,3,6,4,9,3,3,1,3,3,2,1,2,2,4,3,6,1,1,3,3,1,1,1,1],[1,15,3,6,4,9,8,6,
21,12,3,6,4,9,6,1,6,10,4,6,1,1,6,1,2,1],[1,9,3,6,4,27,6,6,9,3,6,4,9,1,6,6,1,3,
1,1],[1,12,27,3,6,4,27,7,6,27,54,36,15,6,3,6,4,27,18,1,9,12,18,3,8,2,6,1,6,6,
3,1,1,1,1],[1,39,3,6,4,27,30,4,54,6,36,3,12,6,3,6,4,18,9,18,9,1,12,18,3,1,2,4,
3,6,1,3,6,3,3,1,1,1,1],[1,27,3,10,27,3,9,12,12,9,18,3,1,9,18,1,1,3,3,12,1,3,3,
1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,
20,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
25,10,20,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,20,15,6,10,10,10,15,6,5,10,
6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,16,15,10,5,15,
15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,8,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,8,15,4,1,
15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,9,4,1,3,3,1,4,3,9,1,4,3,1,3,1,4,3,
1,1],[1,9,4,3,1,3,1,4,3,9,1,4,1,3,3,1,4,3,1,1],[1,3,30,4,1,15,15,1,20,15,6,3,
1,4,1,3,3,5,4,3,1,1],[1,3,30,4,1,15,15,1,20,15,6,3,1,4,1,3,3,5,4,3,1,1],[1,8,
15,1,15,20,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,8,15,1,15,20,1,
1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,2,1,
1,3,1,1],[1,14,29,2,10,18,31,22,38,12,6,14,14,2,10,5,11,14,18,6,6,10,18,14,12,
20,20,4,2,3,6,10,10,10,4,1,2,1,3,6,10,1,10,6,6,6,6,10,1,2,6,3,6,2,6,2,2,1,2,2,
4,4,1,2,1,3,2,1,2,3,2,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,9,8,32,2,6,9,18,
24,6,9,16,2,16,24,8,1,6,8,2,2,1],[1,6,9,4,4,32,2,6,9,18,12,12,6,9,16,1,1,16,
24,4,4,1,3,3,4,4,1,1,2,1],[1,6,9,24,16,2,6,9,18,24,6,9,16,10,8,12,12,8,1,6,8,
2,1,1,1],[1,6,9,4,4,32,1,1,9,9,9,6,12,12,3,3,9,16,1,1,8,8,24,4,4,1,3,3,4,4,1,
1,2,1],[1,6,9,1,16,32,2,6,9,18,9,6,6,9,16,8,16,12,24,2,6,9,18,1,6,9,8,12,1,1,
2,1],[1,6,9,5,8,2,6,9,18,9,18,24,6,9,4,1,2,6,6,8,9,18,1,12,6,9,3,6,1,4,1,1,2,
3,1],[1,12,27,2,2,1,27,27,9,27,6,6,18,18,6,6,9,27,27,1,2,2,18,18,18,18,9,1,3,
3,6,6,1,3,1,3,3,1,3,3,1],[1,4,39,5,8,1,3,18,21,18,18,36,48,3,8,8,1,9,18,18,9,
4,1,2,1,3,3,6,6,18,6,24,9,8,4,1,6,12,6,6,1,2,3,3,1,4,3,6,3,2,1,1],[1,22,21,5,
8,1,9,21,27,3,9,9,18,24,18,24,3,8,8,1,9,9,9,9,9,9,4,1,2,1,3,3,3,3,3,6,3,18,24,
9,4,4,4,1,3,3,6,6,3,3,3,3,1,2,3,3,1,4,3,6,3,1,1,1,1],[1,6,37,1,4,8,4,3,18,18,
18,9,9,12,12,12,24,24,1,6,4,8,1,9,18,18,9,4,1,2,3,4,3,3,6,12,6,6,24,9,4,4,4,1,
3,3,6,6,6,6,1,2,3,3,1,4,3,6,3,1,1,1,1],[1,4,3,5,8,1,3,3,3,9,3,8,8,1,9,9,4,1,2,
1,3,3,1,3,12,3,4,1,1,2,3,3,1,4,1,3,1,1],[1,4,3,5,8,1,3,3,6,6,3,8,8,1,3,3,4,1,
2,1,3,3,4,6,6,3,4,1,1,2,3,3,1,4,1,3,1,1],[1,10,21,5,8,1,3,21,27,21,18,2,6,3,
32,8,7,9,27,4,1,2,1,3,12,3,1,6,3,6,6,6,3,4,8,1,7,2,3,2,3,6,1,4,3,1,1,2,1],[1,
18,13,1,4,8,22,39,30,4,4,1,6,12,16,8,13,30,4,1,2,3,4,12,6,4,6,12,3,4,4,4,1,4,
3,2,4,6,4,1,4,3,1,1,1,1,1],[1,16,3,5,8,1,12,9,3,6,8,3,20,8,1,3,6,6,3,4,1,2,1,
9,12,3,4,6,3,4,8,3,1,2,1,2,3,6,6,1,4,1,3,1,2,1],[1,12,7,1,4,8,3,4,9,9,6,4,4,7,
12,4,8,3,1,6,6,3,4,1,2,3,9,4,9,4,6,3,4,4,4,1,3,1,1,1,2,3,6,6,1,4,1,3,1,1,1,
1],[1,6,13,1,4,8,10,3,12,6,4,4,13,6,4,8,1,3,6,6,3,4,1,2,10,3,12,4,6,3,4,4,4,1,
3,1,1,1,2,3,6,6,1,4,1,3,1,1,1,1],[1,22,9,2,2,24,27,24,10,6,6,6,14,2,9,18,1,6,
2,14,18,6,6,9,1,1,1,4,6,6,2,2,2,1,2,2,1,1,1,1],[1,10,21,2,2,9,6,18,18,6,18,6,
6,6,4,6,2,2,12,9,9,9,1,6,2,2,12,6,12,6,6,9,1,1,1,4,6,6,2,2,2,1,2,2,1,1,1,1],[
1,22,21,2,2,24,27,6,18,18,9,9,10,6,6,4,6,14,2,12,9,9,18,18,9,1,6,6,14,2,12,18,
12,6,9,1,1,1,4,4,6,6,1,1,2,2,2,2,1,2,2,2,2,1,1,1,1],[1,12,39,2,2,1,27,6,45,18,
6,6,6,18,4,18,6,6,12,9,9,6,18,9,1,2,2,6,2,2,12,18,18,12,18,18,6,9,1,3,3,4,2,6,
6,6,6,6,6,6,1,2,2,3,3,2,2,6,1,1,1,2,2,1],[1,24,27,2,2,1,24,45,27,6,10,6,18,18,
18,6,9,9,6,18,9,1,2,2,6,2,14,18,30,18,18,6,9,1,3,3,4,2,6,6,6,6,6,6,6,1,2,2,3,
3,2,2,6,1,1,1,2,2,1],[1,12,27,5,8,1,3,27,27,9,3,9,5,21,24,21,3,9,3,9,9,9,9,4,
1,2,1,3,3,9,3,21,3,9,4,8,1,3,6,3,3,3,3,1,3,3,3,1,4,3,3,1,1,1,1],[1,12,27,1,4,
8,10,9,18,12,18,3,9,3,7,4,12,24,6,3,12,3,9,18,12,9,4,1,2,1,3,3,3,6,12,3,6,3,3,
9,4,4,4,1,3,6,3,3,3,1,3,3,3,3,1,4,3,3,1,1,1,1],[1,12,27,1,4,8,3,1,27,9,27,3,9,
1,4,9,12,24,9,12,9,3,3,9,9,9,9,4,1,2,3,1,3,3,9,9,12,3,9,4,4,4,1,3,6,3,3,3,1,3,
3,3,3,1,4,3,3,1,1,1,1],[1,6,33,1,4,8,1,9,27,12,18,12,1,9,16,24,6,3,12,3,9,18,
12,9,4,1,2,1,3,3,6,3,12,3,6,3,3,9,4,4,4,4,6,3,3,3,1,3,3,3,3,1,4,3,3,1,1,1,1],[
1,18,21,1,4,8,3,10,27,27,12,3,4,7,12,24,9,12,9,3,12,18,9,4,1,2,3,1,3,3,9,9,12,
3,9,4,4,4,1,3,6,3,3,3,3,1,3,3,3,1,4,3,3,1,1,1,1],[1,30,9,5,8,1,30,27,9,12,23,
24,3,21,3,9,12,18,9,4,1,2,1,3,3,21,3,9,3,9,4,8,4,6,3,3,3,1,3,3,3,3,1,4,3,3,1,
1,1,1],[1,6,33,4,1,8,1,9,12,27,18,12,1,16,6,3,24,12,3,6,3,9,12,18,9,4,1,2,1,3,
3,3,6,12,6,3,3,3,9,4,4,4,4,6,3,3,3,1,3,3,3,3,1,4,3,3,1,1,1,1],[1,10,9,2,2,9,
15,15,6,6,6,6,2,2,9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,1,1,2,2,1,1,1,1],[1,21,4,
18,27,12,4,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,37,1,4,8,18,3,12,12,12,24,24,1,
4,8,9,1,9,4,12,6,24,3,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,10,25,10,10,15,10,
20,10,20,16,5,5,10,20,20,20,5,10,16,1,5,10,5,10,5,1,1],[1,10,25,1,1,25,15,15,
16,10,20,1,5,5,1,5,5,5,5,15,15,30,1,5,5,5,5,5,5,5,5,5,3,3,2,1,1,3,5,3,1,1,5,1,
1,1,1,3,3,1,5,1,1,1,1,1,1,1,1,1,1,1],[1,27,3,6,13,27,54,36,27,3,3,6,4,6,9,12,
18,9,1,1,2,1,3,1,1],[1,9,3,6,13,3,9,9,9,18,3,3,6,4,6,9,3,6,3,9,1,1,2,3,1,1,
1],[1,27,3,6,13,9,9,45,27,3,3,6,4,6,3,3,9,9,18,6,1,1,2,3,3,6,1,1],[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],[1,7,1,7,7,8,1,7,
8,1,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,
8,1,7,8,7,1,1],[1,3,42,4,1,21,21,28,1,21,1,3,6,4,7,1,3,3,4,3,1,1],[1,3,14,7,1,
7,7,21,14,1,7,7,7,7,3,2,1,7,1,1,1,3,2,1,1,1,1,1],[1,15,11,20,5,6,10,15,10,6,5,
10,5,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,15,1,
10,20,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,9,2,2,9,1,6,6,1,9,2,2,1,9,6,6,1,
1,1,1],[1,9,2,2,45,1,6,6,1,9,2,2,1,9,6,6,5,1,1,1],[1,14,45,2,2,45,1,6,6,30,30,
10,10,1,1,9,9,30,30,2,2,1,5,5,9,2,2,6,6,6,6,5,1,6,6,1,1,1,1],[1,5,2,2,15,1,10,
10,1,1,5,15,2,2,5,3,2,2,5,1,1,3,1,1],[1,5,2,2,15,1,10,10,1,1,5,15,2,2,5,3,2,2,
5,1,1,3,1,1],[1,18,25,1,22,14,39,30,12,6,36,4,4,13,6,2,13,3,30,36,6,12,36,2,3,
6,18,14,3,4,12,12,6,4,6,12,6,3,3,6,18,9,18,6,2,1,3,12,12,2,3,6,4,6,4,6,6,12,1,
9,9,1,3,3,6,6,6,6,3,1,3,3,1],[1,18,25,16,6,4,26,27,54,12,30,16,16,16,2,18,1,
27,12,30,12,36,2,3,6,18,4,8,16,3,3,6,18,3,6,18,6,4,4,8,8,4,8,8,1,6,3,3,6,4,8,
3,1,1],[1,18,25,16,2,12,30,15,42,12,30,16,16,16,4,6,3,15,12,30,12,48,6,9,6,24,
8,12,16,1,9,6,24,3,6,12,18,8,4,12,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,6,37,1,4,14,3,
12,24,12,6,6,6,8,13,6,2,1,3,6,12,12,6,12,12,12,12,2,3,6,6,12,14,3,4,12,2,2,4,
4,4,6,3,6,3,6,6,6,3,6,12,12,2,1,3,4,4,4,4,2,3,6,2,2,6,12,4,4,1,3,3,6,6,3,6,1,
1,2,2,2,6,4,4,3,1,1,1,2,2,1],[1,10,17,1,2,4,18,11,26,4,14,17,10,2,6,1,11,4,14,
4,20,2,3,2,10,2,18,11,4,26,14,4,1,3,2,10,1,2,6,6,2,1,6,11,2,3,2,10,14,4,4,20,
1,2,1,1,2,1,3,2,10,1,2,6,6,1,1,2,1,1,2,1],[1,22,45,1,2,22,6,71,66,54,36,10,2,
18,4,12,9,10,18,13,9,42,54,10,18,30,30,28,4,36,12,1,14,18,30,2,6,11,4,18,2,6,
6,12,10,12,12,20,2,4,1,6,3,1,14,3,18,18,18,18,18,30,1,2,3,6,6,6,6,3,6,1,6,9,2,
6,6,6,4,4,12,1,2,4,10,4,4,6,12,6,6,4,4,4,4,4,4,4,4,1,3,6,6,6,3,6,6,6,1,1,2,2,
1,1,2,1,2,1,2,1,2,2,6,2,6,6,6,2,2,4,4,4,4,3,2,1,1,1,2,2,2,2,2,1],[1,10,9,1,2,
4,6,11,18,4,2,24,9,10,6,1,9,4,4,4,1,2,12,12,2,6,11,4,18,8,2,4,1,1,2,1,2,6,6,1,
6,9,1,2,4,4,4,4,4,1,3,3,1,2,1,2,1,2,2,3,1,1,1,1],[1,10,17,16,10,14,15,10,12,6,
12,16,32,2,5,3,10,12,6,12,12,2,3,6,6,4,8,16,1,3,6,6,3,6,6,8,4,8,8,1,3,3,4,1,1,
1],[1,6,37,16,4,14,3,12,24,12,6,6,6,16,16,16,2,1,3,6,12,12,6,12,12,12,12,2,3,
6,6,12,4,8,16,3,6,3,6,6,6,3,6,12,12,4,4,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,6,37,16,
4,14,3,12,24,12,6,6,6,16,16,16,2,1,3,6,12,12,6,12,12,12,12,2,3,6,6,12,4,8,16,
3,6,3,6,6,6,3,6,12,12,4,4,4,8,4,4,1,3,3,6,6,4,4,4,3,1,1],[1,18,17,1,22,2,39,
30,4,10,12,4,4,5,6,13,1,30,12,4,12,1,4,6,12,2,3,4,4,4,6,4,6,12,10,3,1,6,2,3,6,
6,1,1,4,4,1,4,4,6,4,2,4,4,3,1,3,1,1,1,2,2,2,2,3,1,1,1,1],[1,6,29,1,4,2,3,12,
16,12,6,10,30,8,5,6,1,1,6,12,12,12,4,12,12,1,4,12,6,2,3,4,4,2,10,4,4,4,10,1,3,
6,6,2,6,3,1,1,4,4,4,4,1,4,2,2,4,4,4,1,3,3,2,1,1,1,2,2,2,3,1,1,1,1],[1,26,33,4,
2,28,6,63,48,42,24,16,6,12,12,12,20,14,15,9,36,36,16,12,24,24,36,12,24,12,3,
18,12,24,1,4,4,4,12,12,20,4,1,4,3,3,18,3,12,12,12,18,18,24,3,6,3,6,6,4,6,3,6,
3,3,4,4,5,4,4,4,4,4,3,3,6,4,6,3,6,6,6,1,1,3,5,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,
18,41,4,4,10,18,51,34,72,24,12,6,16,4,8,12,12,8,24,5,27,18,36,12,16,24,24,24,
12,36,12,3,12,18,24,1,4,4,4,4,8,8,12,12,4,3,4,1,3,12,3,18,18,18,12,12,24,3,6,
3,6,6,6,4,3,6,1,2,3,4,4,2,3,4,4,4,4,4,3,3,6,6,4,3,6,6,6,1,1,2,1,3,2,3,1,1,4,3,
1,1,1,1,1,1,1,1],[1,25,25,2,4,25,10,20,10,20,1,1,1,1],[1,25,25,2,4,25,10,20,
10,20,1,1,1,1],[1,10,25,25,50,2,4,25,2,10,20,10,20,20,10,1,10,1,2,1,1,1,1],[1,
36,27,3,6,4,54,81,21,18,27,54,36,45,18,27,3,6,4,27,45,81,54,3,9,12,18,9,24,6,
18,27,1,12,18,18,9,18,1,3,3,9,1,3,3,1],[1,12,51,3,6,4,27,18,36,54,7,6,33,8,54,
12,36,6,15,6,24,12,27,3,6,4,9,18,6,6,36,9,18,27,24,18,36,1,9,2,12,18,3,6,8,2,
4,2,8,6,6,12,9,18,1,4,2,6,12,6,6,6,6,3,6,6,6,6,1,1,2,1,2,3,6,1,1,2,1,2,1],[1,
12,27,6,18,16,1,27,27,6,6,18,18,42,6,9,9,24,16,1,4,4,2,2,18,18,18,18,1,3,3,24,
24,9,6,6,4,2,2,4,4,1,3,3,4,1,6,6,1,1],[1,15,6,3,6,4,9,9,9,8,6,2,6,21,12,6,12,
9,3,6,4,9,9,6,6,9,1,6,6,10,2,4,4,2,6,9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,9,12,
28,27,12,36,9,9,4,1,12,9,4,3,4,1,1],[1,27,18,3,6,4,27,27,9,18,18,6,6,12,27,18,
27,3,6,4,27,9,18,9,3,2,18,6,18,6,12,9,1,1,3,9,6,3,2,3,1,1,1,1],[1,15,18,3,6,4,
9,27,27,8,6,6,6,12,21,12,18,27,3,6,4,9,9,6,9,18,1,2,6,10,4,6,6,6,12,9,1,3,3,1,
6,6,1,2,2,3,1,1,1,1],[1,27,6,3,6,4,27,9,27,18,18,2,6,27,6,12,27,3,6,4,9,9,27,
6,3,6,18,2,4,2,18,9,1,3,1,9,6,3,2,3,1,1,1,1],[1,12,27,3,6,4,27,9,27,7,6,27,54,
36,15,6,27,3,6,4,9,27,18,9,1,9,12,18,3,8,2,6,9,1,1,3,6,6,3,1,1,1,3,1,1,1,1],[
1,21,6,18,16,1,9,9,18,24,24,6,9,9,24,16,1,4,4,2,2,9,3,3,9,4,3,18,24,3,6,3,9,4,
2,2,4,4,1,3,3,4,1,3,6,3,1,1],[1,3,18,6,18,16,1,9,9,12,6,24,6,6,18,9,9,24,16,1,
4,4,2,2,9,3,3,9,4,3,6,12,24,3,6,3,9,4,2,2,4,4,1,3,3,4,1,3,6,3,1,1],[1,18,45,
10,6,30,45,90,6,10,30,30,30,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[
1,18,45,10,5,1,45,45,45,30,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,18,
15,10,6,5,1,3,1],[1,18,45,10,1,5,45,45,45,30,6,10,30,30,15,15,45,6,18,18,5,10,
30,30,5,6,18,18,15,10,6,5,1,3,1],[1,16,15,10,5,15,15,10,30,6,10,10,10,5,15,15,
6,6,6,5,10,10,10,15,12,6,5,10,6,5,1,1,1],[1,16,15,10,5,15,15,30,10,6,10,10,10,
5,15,15,6,6,6,5,10,10,10,15,12,6,5,10,6,5,1,1,1],[1,16,35,10,5,15,30,25,30,30,
6,10,30,20,10,5,15,30,30,15,6,6,6,5,10,20,10,20,10,15,12,6,10,5,10,6,5,1,2,1,
1],[1,26,25,10,5,15,25,45,15,15,15,6,20,20,10,20,5,15,15,15,15,15,15,6,6,6,5,
10,10,20,10,20,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,36,15,10,5,40,45,15,30,6,
30,10,30,5,15,30,30,15,6,6,6,5,10,30,30,15,12,6,10,5,10,6,5,1,2,1,1],[1,16,35,
10,5,15,25,30,30,30,6,10,20,10,10,20,5,15,30,30,15,6,6,6,5,10,10,20,20,10,15,
12,6,10,5,10,6,5,1,2,1,1],[1,16,15,10,5,15,15,1,15,6,10,10,10,5,15,15,6,6,6,5,
10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,14,45,4,3,1,45,15,45,3,15,1,4,20,20,15,5,
3,15,15,15,15,1,9,9,1,20,4,15,1,3,3,9,9,3,3,1,5,5,4,4,4,3,1,3,3,3,3,3,5,1,4,3,
1,1,1,1],[1,14,45,4,1,3,45,45,15,3,15,1,4,20,20,5,15,3,15,15,15,15,1,9,9,1,20,
4,15,3,1,9,9,3,3,3,1,5,5,4,4,4,1,3,3,3,3,3,3,5,1,4,3,1,1,1,1],[1,8,15,4,1,15,
15,5,15,1,20,5,15,15,1,3,3,1,20,4,5,3,1,1,3,3,5,4,1,3,3,5,1,4,1,1,1],[1,8,15,
4,1,15,15,15,5,1,20,5,15,15,1,3,3,1,20,4,5,1,3,1,3,3,5,4,1,3,3,5,1,4,1,1,1],[
1,8,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,6,6,1,3,3,5,4,1,3,3,5,1,4,
3,1,1],[1,8,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,6,6,1,3,3,5,4,1,3,
3,5,1,4,3,1,1],[1,3,4,7,56,1,21,1,28,1,14,7,3,1,8,4,1,7,3,4,1,1,2,1],[1,42,9,
8,32,2,36,6,27,18,36,18,48,96,24,6,9,9,36,36,36,9,18,16,2,16,24,8,24,24,1,9,
18,9,18,16,12,48,24,24,6,9,8,2,2,6,6,8,6,6,1,1],[1,6,45,4,4,32,1,1,9,27,27,24,
18,18,18,24,24,96,12,12,3,3,18,18,18,18,18,36,9,9,9,16,1,1,8,8,24,4,4,12,12,
12,12,1,9,9,9,9,9,9,16,6,6,24,24,24,12,12,3,3,9,4,4,1,1,2,3,3,3,3,4,4,6,3,3,1,
1],[1,6,21,1,16,32,2,24,9,18,18,16,21,6,3,6,9,18,18,9,16,8,16,12,24,2,24,9,18,
18,1,9,9,16,3,6,9,12,9,18,18,3,8,12,1,1,2,9,9,12,1,3,1,1],[1,18,9,1,16,32,2,
12,6,15,18,12,6,16,9,18,6,3,9,12,12,12,3,6,16,8,16,12,24,2,6,15,12,18,6,12,1,
3,6,3,6,16,3,6,9,8,4,3,6,12,12,12,3,8,12,1,1,2,3,6,3,6,4,8,1,3,1,1],[1,6,21,8,
32,2,24,9,18,18,16,24,48,3,6,9,18,18,9,16,2,16,24,8,1,9,9,16,12,6,12,3,8,2,2,
1,3,1,1],[1,6,21,24,16,2,24,9,18,18,16,24,48,3,6,9,18,18,9,16,10,8,12,12,8,1,
9,9,16,12,6,12,3,8,2,1,1,1,3,1,1],[1,24,63,5,8,2,9,6,63,81,72,54,9,27,18,24,
54,72,9,18,24,24,9,27,81,9,27,27,27,54,27,27,4,1,2,6,6,8,9,18,3,9,3,18,9,54,
18,54,72,72,1,9,27,27,27,27,9,4,12,12,6,9,3,9,6,18,3,9,9,9,18,3,6,9,18,9,18,
24,9,9,9,1,4,12,12,1,1,2,3,3,9,9,18,18,9,9,9,9,1,3,4,3,3,6,3,1,3,3,1],[1,6,13,
1,16,32,4,14,3,12,6,13,6,16,32,2,1,3,6,12,2,3,6,16,4,8,8,16,14,3,4,12,6,3,6,6,
16,2,1,3,2,4,8,8,16,3,6,6,12,8,8,8,1,4,8,3,6,6,4,8,8,1,1,2,1],[1,24,15,4,4,32,
1,28,45,30,9,6,9,3,12,4,12,12,24,3,15,30,9,9,3,9,9,18,9,9,16,1,1,8,8,24,4,4,
12,12,12,12,1,3,9,9,9,9,3,16,3,1,3,6,3,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,1],[
1,12,27,4,4,32,4,1,18,27,9,54,6,3,9,4,12,36,12,18,27,3,9,3,9,9,9,18,9,9,16,1,
1,8,8,24,12,4,4,12,12,12,3,1,9,9,9,9,3,16,1,3,9,3,4,12,3,4,4,3,1,1,2,3,3,3,4,
4,1,3,1,1],[1,12,27,8,32,2,3,6,27,27,36,18,3,9,4,12,48,12,9,9,27,3,9,9,9,18,9,
9,16,2,16,24,8,12,12,12,12,1,3,9,9,9,9,3,16,1,3,12,4,12,3,8,2,3,2,3,3,3,4,4,1,
3,1,1],[1,12,27,4,4,32,2,3,6,27,27,36,18,3,9,4,12,36,12,12,9,9,27,3,9,9,9,18,
9,9,16,1,1,16,24,4,4,12,12,12,12,1,3,9,9,9,9,3,16,1,3,9,3,4,12,3,4,4,1,1,3,2,
3,3,3,4,4,1,3,1,1],[1,10,57,5,8,1,3,21,45,39,36,6,6,18,2,42,48,3,32,8,7,9,36,
18,18,18,18,36,3,3,9,4,1,2,1,3,12,3,4,6,1,6,9,24,12,6,24,6,6,3,9,9,9,3,9,9,8,
4,8,1,6,12,6,12,6,7,2,3,3,3,2,6,6,3,6,6,12,9,1,4,4,4,3,1,3,6,1,3,3,3,3,3,3,2,
1,2,4,3,3,1,1,1,1],[1,40,39,5,8,1,60,117,90,21,18,15,9,28,24,24,24,3,44,8,7,
39,90,27,15,9,27,27,42,21,27,4,1,2,1,9,24,3,3,3,44,12,18,6,6,72,24,6,3,9,21,
27,27,27,9,4,4,4,16,3,1,5,3,6,6,3,3,3,3,6,6,7,2,3,12,18,2,24,3,6,3,6,6,6,6,6,
6,9,1,8,8,4,8,3,3,1,7,9,6,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,3,1,1,1,2,2,1],[1,
24,55,1,4,8,3,22,81,84,63,54,15,9,4,4,16,16,12,24,24,7,12,12,16,8,21,13,48,81,
15,9,27,27,42,21,27,4,1,2,3,9,4,9,12,3,3,6,16,12,12,24,18,18,24,16,12,24,6,9,
3,21,27,27,27,9,4,4,4,4,4,4,4,1,3,1,4,3,6,6,3,3,3,3,6,6,4,3,2,3,4,12,6,4,9,18,
12,3,6,6,6,6,6,6,9,1,4,4,4,4,4,4,4,3,1,3,4,3,3,6,6,3,3,3,3,3,6,6,6,6,1,1,1,1,
1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,12,27,5,8,2,3,6,27,27,36,18,3,9,2,6,9,42,24,
12,9,9,27,3,9,9,9,18,9,9,4,1,2,6,6,8,9,12,18,1,3,1,6,3,6,6,6,12,1,3,9,9,9,9,3,
12,8,6,9,1,3,3,3,6,9,6,3,2,3,6,3,3,12,3,1,4,4,4,1,1,2,3,1,1,3,3,3,3,3,3,2,4,1,
3,1,1,1,1],[1,18,9,5,8,2,12,6,15,18,12,6,8,9,30,24,6,3,9,12,12,12,3,6,4,1,2,6,
6,8,15,12,18,4,4,6,12,1,3,6,3,6,12,8,3,6,9,2,4,3,6,3,6,12,12,12,3,1,4,4,4,1,1,
2,1,1,3,6,3,6,3,2,4,1,3,1,1,1,1],[1,22,21,5,8,1,9,21,27,3,18,6,18,18,24,18,24,
3,8,8,1,9,9,9,9,9,3,21,9,36,4,1,2,1,3,3,8,6,3,6,3,18,24,6,18,9,3,9,3,9,9,9,4,
4,4,1,3,3,6,6,3,3,3,3,1,2,3,3,3,6,3,6,18,9,1,4,8,1,3,6,1,3,3,3,3,3,3,3,1,1,1,
4,3,3,1,1,1,1],[1,6,13,1,16,32,2,12,9,18,6,13,6,16,32,1,6,9,6,6,3,16,8,16,12,
24,2,12,9,18,6,1,3,3,16,1,6,9,4,8,3,6,6,1,8,12,1,1,2,3,3,4,1,1,2,1,1],[1,16,
39,5,8,1,12,9,18,21,18,9,27,8,36,48,3,20,8,1,3,9,6,18,18,24,18,3,18,9,4,1,2,1,
9,12,3,1,9,4,6,18,6,24,18,3,9,9,9,9,3,9,8,4,8,3,1,2,6,12,6,6,6,6,1,2,3,3,3,6,
6,6,12,9,1,4,4,4,1,1,3,6,3,3,3,3,3,3,3,2,1,2,4,3,3,1,1,1,1],[1,24,39,2,2,1,24,
45,6,45,18,15,33,10,6,18,4,18,18,6,12,9,9,9,6,6,18,36,18,9,36,27,1,2,2,6,6,2,
2,14,2,12,18,30,12,18,18,6,6,9,9,9,9,9,9,9,1,3,3,4,4,2,2,6,6,6,6,6,6,6,6,6,6,
6,6,9,1,3,1,2,2,2,2,3,3,2,2,2,2,6,6,1,2,2,3,3,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,15,10,5,7,24,10,6,15,5,10,5,6,10,6,1,5,1],[1,15,10,5,7,24,10,6,15,5,10,
5,6,10,6,1,5,1],[1,10,25,10,10,15,10,20,50,20,16,5,5,10,20,20,20,5,20,10,20,
16,1,5,10,10,5,10,10,16,5,5,5,5,1,1,1],[1,27,3,6,40,27,18,18,27,3,12,6,4,24,
27,27,3,18,18,1,4,8,9,3,4,1,1],[1,63,3,6,13,81,36,12,54,45,45,9,36,45,3,3,6,4,
6,54,27,81,3,9,3,12,18,9,3,6,12,9,18,18,6,1,1,2,9,18,9,9,9,1,3,3,1,3,3,6,1,3,
3,1,1,1,1],[1,22,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,
28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,49,28,14,42,21,28,28,28,8,21,21,21,14,28,
8,21,8,14,8,1,1],[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],[1,15,30,10,1,20,5,45,45,
6,10,30,10,60,30,15,45,10,6,5,10,5,15,30,15,6,10,10,10,18,15,30,15,6,5,10,1,6,
5,3,1,1],[1,45,11,20,5,45,45,6,50,60,45,45,10,6,5,10,5,15,45,6,10,20,18,15,30,
15,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,10,10,30,60,15,30,45,10,6,5,
10,5,15,15,30,6,10,10,10,18,15,30,15,6,5,10,1,6,5,3,1,1],[1,18,45,10,1,20,5,
45,45,6,10,1,30,15,60,30,15,15,10,6,18,18,5,10,5,30,15,15,6,10,10,10,18,15,5,
6,6,6,5,10,1,6,5,3,1,1],[1,18,45,1,10,20,5,45,45,6,1,10,15,30,60,15,30,15,10,
6,18,18,5,10,5,15,15,30,6,10,10,10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,18,45,
11,20,5,45,45,6,11,45,60,45,15,10,6,18,18,5,10,5,15,45,6,10,20,18,15,5,6,6,6,
5,10,1,6,5,3,1,1],[1,14,45,2,2,45,9,45,1,6,6,30,30,10,10,45,1,1,9,9,30,30,2,2,
1,5,5,9,9,9,2,2,6,6,6,6,1,5,5,9,1,6,6,5,1,1,1,1,1,1,1],[1,25,11,20,5,15,15,6,
20,35,20,15,10,6,5,10,5,15,10,15,6,10,20,6,5,15,6,5,10,1,6,5,1,1,1],[1,15,10,
10,1,20,5,15,15,6,10,10,10,15,10,20,15,10,6,5,10,5,15,10,15,6,10,10,10,6,5,15,
6,5,10,1,6,5,1,1,1],[1,15,10,1,10,20,5,15,15,6,10,10,10,15,10,20,15,10,6,5,10,
5,15,10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,14,45,2,2,45,30,1,6,6,30,
30,10,10,45,1,1,9,9,10,30,30,30,2,2,1,5,5,6,9,30,2,2,6,6,6,6,5,10,9,1,2,6,6,6,
5,1,1,1,6,1,2,1],[1,14,45,2,2,45,30,1,6,6,30,30,10,10,45,1,1,9,9,10,30,30,30,
2,2,1,5,5,6,9,30,2,2,6,6,6,6,5,10,9,1,2,6,6,6,5,1,1,1,6,1,2,1],[1,22,53,1,2,
22,18,71,66,62,36,10,14,42,4,12,17,10,2,18,13,11,42,54,10,18,30,54,14,28,20,
60,12,2,3,14,10,30,30,12,2,18,11,4,26,2,14,6,12,10,12,12,20,14,4,1,6,3,3,14,
10,3,30,18,18,18,18,30,1,2,6,9,18,6,6,6,6,3,6,6,12,12,2,1,6,11,2,6,14,6,4,4,
20,2,3,2,10,4,10,4,4,6,12,6,10,14,4,4,20,4,4,4,4,4,4,1,2,1,9,6,1,2,9,6,6,3,3,
6,6,6,6,6,1,1,2,2,3,3,2,10,1,2,1,2,1,2,6,2,6,2,6,6,10,2,6,2,6,4,4,4,4,4,4,3,1,
3,3,3,3,3,1,2,2,1,3,1,2,1,1,3,2,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,22,53,16,6,
10,26,63,46,90,36,18,30,18,16,32,16,16,32,2,30,5,27,22,54,18,18,30,30,30,36,
36,36,12,2,3,18,18,18,30,12,4,8,16,16,32,32,16,3,6,1,3,18,18,3,18,18,18,18,18,
30,3,6,18,3,6,6,6,6,6,3,6,6,12,12,4,8,4,8,8,8,4,8,16,8,1,6,3,3,6,3,6,3,6,6,3,
3,6,6,6,6,6,4,8,4,4,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,25,25,50,2,4,25,
50,2,10,20,10,25,20,20,10,1,10,1,2,1,1,1,1,1,1,1],[1,6,9,9,48,64,2,6,9,18,9,
30,48,6,9,24,96,64,2,20,32,24,48,10,6,16,9,18,1,24,6,9,6,12,16,10,16,32,32,24,
8,1,2,4,2,4,6,8,1,4,4,2,2,1],[1,12,63,6,18,16,1,27,18,81,54,18,6,6,42,12,18,
48,42,6,36,9,27,18,54,27,9,24,16,1,4,4,2,2,18,6,6,36,54,18,36,18,18,18,27,1,3,
8,3,24,12,24,24,48,6,12,6,18,9,6,6,18,18,18,18,4,2,2,4,4,1,6,6,24,3,3,6,6,9,
18,4,8,2,1,6,12,6,6,3,3,6,6,4,1,3,6,1,2,1],[1,48,27,6,18,16,1,72,81,27,18,42,
54,18,18,78,6,9,27,18,54,27,9,24,16,1,4,4,2,2,18,6,78,18,54,18,18,18,27,9,3,3,
60,72,6,12,6,18,9,6,18,6,18,18,18,4,2,2,4,4,1,30,6,3,3,6,6,9,18,12,2,1,6,12,6,
6,3,3,6,6,4,1,3,6,1,2,1],[1,12,27,6,18,16,1,27,27,9,27,6,6,18,18,42,6,9,27,27,
9,24,16,1,4,4,2,2,18,18,18,18,36,9,1,3,3,24,24,9,6,6,4,1,3,2,2,4,4,1,3,3,9,4,
1,6,6,3,3,1,4,1,1,1],[1,36,51,3,6,4,54,81,18,36,54,9,27,21,18,33,8,54,12,36,6,
45,18,24,12,27,27,54,36,27,3,6,4,27,9,18,9,45,6,6,36,9,18,81,24,54,36,9,27,3,
9,2,12,18,9,6,24,2,4,6,8,18,6,12,9,9,27,9,18,9,9,9,1,1,3,4,12,2,6,12,18,6,18,
6,9,6,18,6,6,6,9,1,3,2,3,2,4,6,3,3,9,6,1,1,1,1,2,3,1,3,2,3,1,1,1,1,1,1,1,1],[
1,45,12,28,54,27,12,36,12,36,36,36,27,9,27,9,4,36,36,27,1,4,12,12,36,9,4,3,12,
6,9,4,4,4,3,1,3,4,3,1,1],[1,28,75,10,6,15,30,75,135,120,90,15,45,6,20,60,30,
40,40,45,45,135,15,45,45,45,90,45,45,6,18,18,5,10,30,30,10,60,30,60,60,60,5,
15,45,45,45,45,15,18,6,6,18,18,10,5,15,15,30,20,30,60,15,6,18,18,5,10,15,15,1,
6,5,3,1,3,1,3,3,1],[1,48,55,10,5,76,165,150,45,30,45,15,6,40,40,10,60,15,55,
150,45,45,15,45,45,90,45,45,6,18,18,5,30,40,60,40,60,120,5,15,45,45,45,45,15,
6,18,6,18,18,10,15,5,15,40,60,40,15,6,18,18,5,10,15,15,1,6,5,1,3,3,1,3,3,1],[
1,26,25,10,5,15,25,45,15,26,30,30,6,20,20,10,20,5,15,15,15,15,15,15,25,15,60,
6,6,6,5,10,10,10,10,20,10,20,20,15,15,15,5,15,15,15,6,6,12,6,6,6,5,5,5,10,10,
10,20,20,15,6,6,6,5,5,10,5,1,6,5,1,1,1,1,1,1,1],[1,38,45,10,6,40,30,75,90,40,
30,6,30,30,50,30,15,45,40,60,60,15,30,6,18,18,5,10,10,10,30,30,50,10,5,15,30,
15,30,12,12,6,18,18,10,10,10,15,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,
1,1,1],[1,18,65,10,5,1,45,75,55,60,10,30,30,6,10,50,20,30,15,15,60,30,30,10,
30,60,15,15,15,6,18,18,5,10,10,10,20,30,10,20,30,10,5,15,15,15,15,15,15,12,12,
6,18,18,10,10,10,15,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,18,
65,10,1,5,45,55,75,60,30,30,10,6,10,20,30,30,20,15,15,60,10,30,30,30,60,15,15,
15,6,18,18,5,10,10,10,10,20,20,30,30,10,5,15,15,15,15,15,15,12,12,6,18,18,10,
10,10,15,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,20,75,10,6,1,
30,75,45,120,30,1,15,6,10,50,50,40,45,15,45,1,15,15,15,30,15,15,6,30,30,5,10,
10,10,30,30,50,10,5,5,15,15,15,15,5,6,6,18,30,18,6,6,10,10,25,10,10,10,10,10,
5,6,6,6,6,6,6,6,5,5,5,10,1,6,5,5,1,1,1,1],[1,36,35,10,5,40,45,30,25,30,31,45,
6,30,30,20,30,5,15,15,30,30,30,40,30,15,30,15,6,6,6,5,10,10,10,30,20,10,20,30,
10,15,15,15,15,15,5,15,12,12,6,6,6,10,10,10,10,5,10,10,10,10,10,15,6,6,6,5,5,
5,10,1,6,5,2,2,1,1,1,1,1],[1,14,45,4,1,3,45,45,15,38,30,30,1,4,20,20,5,15,3,
15,15,15,15,45,15,60,1,9,9,1,20,20,20,4,15,15,15,5,15,15,15,3,7,6,3,1,9,9,3,3,
3,1,5,5,20,4,4,4,15,1,3,3,3,3,9,3,9,3,3,3,5,5,5,1,4,4,4,1,3,3,3,3,3,3,5,1,1,1,
4,3,1,1,1,1],[1,14,45,4,3,1,45,15,45,18,30,50,1,4,20,20,15,5,3,15,15,15,15,15,
45,60,1,9,9,1,20,20,20,4,15,15,15,15,5,15,15,7,3,6,1,3,3,9,9,3,3,1,5,5,20,4,4,
4,15,3,1,3,3,9,3,3,9,3,3,3,5,5,5,1,4,4,4,3,1,3,3,3,3,3,5,1,1,1,4,3,1,1,1,1],[
1,63,28,63,84,36,9,28,36,28,9,1],[1,21,1,28,56,14,21,28,21,8,21,28,14,28,14,
21,28,8,16,8,14,21,14,8,14,1,1],[1,21,1,28,56,7,7,21,28,21,8,21,28,7,7,14,14,
7,7,21,28,8,16,8,7,7,21,7,7,8,7,7,1,1],[1,7,1,28,56,7,7,28,56,8,1,28,7,14,7,
28,8,16,8,1,7,14,7,1,8,7,1,1,1,1,1],[1,3,42,4,7,56,1,21,21,28,21,42,1,21,28,1,
14,7,21,21,3,6,28,1,8,4,7,21,1,3,3,7,3,4,6,3,4,7,1,1,2,3,3,4,1,3,1,1],[1,15,
12,42,40,5,6,10,30,30,21,60,40,6,5,20,20,10,10,12,12,15,20,20,10,12,12,10,10,
20,20,5,6,10,1,6,5,2,2,1],[1,42,33,8,32,2,36,42,27,90,36,54,48,96,32,24,96,6,
6,9,27,36,54,36,108,18,27,18,54,16,2,16,24,8,24,24,96,1,27,18,54,9,18,18,54,
16,32,12,48,24,24,24,6,24,9,6,9,9,18,8,16,2,2,6,24,6,9,8,2,6,6,6,1,6,1,2,1],[
1,18,25,1,16,32,6,4,26,27,54,12,30,16,16,25,18,16,32,2,18,1,27,12,30,12,36,2,
3,6,18,16,4,8,8,16,6,26,27,4,54,16,30,12,3,3,6,18,3,6,18,6,16,16,16,2,1,18,27,
4,4,8,8,2,4,8,8,16,3,6,18,30,12,12,36,8,8,8,1,6,3,3,6,4,8,16,3,4,8,3,6,18,3,6,
18,6,3,4,8,4,4,8,8,8,1,1,2,6,3,3,6,4,8,1,3,1,1],[1,6,85,1,16,32,4,14,3,36,48,
36,18,6,18,24,48,48,96,96,13,6,16,32,2,1,3,18,36,36,6,36,12,36,36,2,3,6,18,36,
16,4,8,8,16,14,3,4,12,6,6,12,48,12,12,96,6,3,6,9,18,18,6,9,18,36,36,16,16,16,
2,1,3,12,12,24,24,12,12,12,12,2,4,8,8,16,3,6,6,6,6,12,8,8,8,12,12,1,9,9,18,18,
4,8,16,12,24,3,6,3,3,6,6,6,6,12,12,24,24,24,9,4,4,4,8,8,1,1,2,3,3,6,6,4,8,3,3,
6,1,1],[1,54,45,8,32,2,78,6,135,90,54,36,42,18,18,56,96,24,72,18,45,9,90,54,
42,18,54,54,108,36,36,36,9,54,18,54,16,2,16,24,8,24,24,72,24,72,24,1,6,9,9,54,
9,18,18,18,54,54,54,9,18,9,18,18,6,18,9,18,16,32,14,6,48,24,24,24,18,8,24,24,
24,24,9,9,18,6,18,9,18,18,18,8,16,2,6,2,18,18,6,6,6,24,9,8,8,8,6,2,6,6,6,6,6,
6,1,8,6,1,2,1],[1,30,69,4,4,32,4,28,18,99,84,108,60,30,18,30,12,4,28,24,12,96,
36,12,24,36,15,27,48,90,30,30,54,54,72,36,72,36,9,36,36,54,16,1,1,8,8,24,12,4,
4,12,12,12,12,12,24,36,36,24,12,12,12,12,3,10,3,9,36,9,36,36,36,36,36,54,9,18,
9,18,18,12,12,9,18,16,16,16,1,3,7,6,3,24,24,24,12,12,12,12,9,6,3,12,4,4,12,12,
12,12,12,12,12,9,9,18,12,12,9,18,18,18,4,4,16,3,1,1,3,2,3,6,9,3,3,6,9,3,3,3,3,
3,12,12,9,4,4,4,4,4,4,6,1,3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,4,3,3,1,1,1,1],[1,42,
9,8,32,2,36,6,27,18,36,18,72,48,96,24,6,9,9,36,36,36,9,18,36,36,16,2,16,24,8,
24,24,1,9,18,9,18,18,18,16,12,48,24,24,6,9,9,9,16,8,2,2,6,6,9,8,6,6,1,1,1],[1,
18,25,1,16,32,22,14,39,30,12,6,36,4,4,13,6,48,64,32,2,13,3,30,36,6,12,36,2,3,
6,18,16,4,8,8,16,14,3,4,12,48,12,6,4,6,12,6,3,3,6,18,9,18,6,16,16,16,2,1,3,12,
12,2,16,12,8,8,16,3,6,4,6,4,6,6,12,8,8,8,1,9,9,4,8,16,12,1,3,3,6,6,6,6,3,4,8,
4,4,8,1,1,2,3,3,4,1,3,1,1],[1,42,81,5,8,2,60,6,159,144,90,72,24,6,36,28,24,60,
72,9,54,24,30,39,9,108,108,24,36,72,72,84,12,72,36,3,42,36,72,4,1,2,6,6,8,15,
24,18,8,12,44,24,24,60,24,108,72,72,6,24,1,12,9,3,42,9,36,36,36,54,54,72,3,6,
9,18,18,12,18,9,18,4,12,12,16,3,6,9,5,9,6,18,8,12,12,12,12,24,24,9,6,3,6,12,
24,20,24,12,24,24,12,12,12,24,12,24,12,12,12,24,3,9,18,12,18,9,18,18,18,1,4,8,
8,12,12,8,8,1,1,2,3,3,4,4,7,15,9,18,18,1,3,3,6,3,6,3,6,3,6,6,12,6,12,12,12,6,
6,3,12,12,12,24,9,1,3,4,3,2,2,4,4,8,8,3,3,6,1,3,4,3,3,3,6,3,6,3,3,6,6,6,1,3,3,
1,1,1,1,4,2,2,3,3,1,1,1,1,1,1,1,1],[1,18,25,1,16,32,2,12,30,15,42,12,30,16,16,
25,18,16,32,4,6,3,15,12,30,12,48,6,9,6,24,16,8,16,12,24,2,30,15,12,42,16,30,
12,1,9,6,24,3,6,12,18,16,16,16,4,3,6,15,8,4,12,6,4,8,9,6,24,30,12,12,48,3,4,3,
3,6,8,12,16,1,1,2,4,9,6,24,3,6,12,18,3,4,4,12,8,1,1,3,4,3,1,2,3,6,1,4,1,3,1,1,
1,1],[1,20,75,10,5,75,75,7,24,10,50,50,25,7,45,120,45,5,50,10,5,45,15,25,6,10,
10,10,5,6,12,1,5,10,6,5,5,1,1],[1,20,75,10,5,75,75,7,24,10,50,50,25,7,45,120,
45,5,50,10,5,15,45,25,6,10,10,10,5,6,12,1,5,10,6,5,5,1,1],[1,27,18,3,6,40,27,
27,81,18,18,6,36,18,27,18,36,81,3,12,6,4,24,27,27,27,27,18,3,18,18,6,12,6,18,
36,27,27,1,4,8,9,3,9,18,3,6,4,9,4,1,3,3,4,3,1,1],[1,27,54,3,6,40,27,81,27,18,
18,18,18,144,27,54,81,3,12,6,4,24,27,27,27,54,27,3,12,6,18,18,18,18,36,24,27,
27,1,4,8,3,9,9,18,3,6,12,24,9,4,1,3,3,4,3,1,1],[1,36,27,3,6,40,54,81,21,18,27,
54,36,45,18,108,27,3,12,6,4,24,27,27,45,81,54,3,9,12,18,9,24,6,18,36,27,27,1,
4,8,12,18,18,9,18,1,3,3,12,9,4,1,3,3,4,1,1,1],[1,55,55,55,66,55,55,55,66,12,
55,55,12,11,11,1],[1,55,55,55,66,55,55,55,66,12,55,55,12,11,11,1],[1,24,63,28,
8,7,42,63,63,126,42,21,63,28,84,84,8,42,63,21,63,21,63,63,63,126,63,63,7,7,28,
84,84,24,7,7,63,63,63,63,21,8,7,7,21,21,21,21,28,8,21,24,7,7,21,21,21,21,8,7,
7,1,3,1],[1,60,15,20,20,15,60,45,45,90,36,80,60,20,60,60,15,15,90,90,45,10,36,
15,15,60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,
18,45,14,80,6,30,45,90,6,10,30,90,30,45,40,6,18,18,6,60,120,30,30,30,24,5,40,
6,18,18,30,10,24,30,6,10,10,1,6,10,3,6,5,4,1,1],[1,18,45,10,4,80,5,1,45,45,45,
30,6,10,30,30,60,15,15,45,40,6,18,18,5,1,40,20,120,20,10,30,30,24,5,40,6,18,
18,15,15,10,24,20,10,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,18,45,4,10,80,1,5,45,45,
45,30,6,10,30,60,30,15,15,45,40,6,18,18,1,5,20,40,120,10,20,30,30,24,5,40,6,
18,18,15,15,10,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,46,45,20,20,15,15,45,
45,45,45,45,36,60,60,60,60,20,20,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,
45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,18,85,10,1,
20,5,45,60,75,90,60,6,10,1,70,10,15,60,60,40,30,15,10,20,15,45,60,90,45,10,6,
18,18,5,10,5,30,15,15,40,15,30,30,60,30,10,15,15,60,15,6,45,10,10,10,10,10,10,
10,24,18,20,30,15,15,15,30,5,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,18,15,
15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,18,85,1,10,20,5,45,75,60,90,60,6,
1,10,25,40,30,60,60,10,15,30,40,20,15,45,90,60,45,10,6,18,18,5,10,5,15,30,15,
10,15,30,60,15,30,15,40,30,60,15,6,45,10,10,10,10,10,10,10,24,18,20,30,15,15,
15,5,15,30,15,15,15,6,6,6,5,10,10,10,10,10,10,10,18,15,15,1,6,6,6,5,5,5,10,4,
3,6,5,1,3,1,1,1,1],[1,58,45,11,20,5,90,135,45,60,6,61,60,45,60,95,20,15,45,60,
90,45,10,6,18,18,5,10,5,45,15,95,15,135,60,15,6,45,10,10,10,40,24,18,20,30,15,
15,15,5,45,15,15,15,6,6,6,5,20,20,10,20,18,15,15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,
1,1,1,1],[1,45,40,30,135,36,120,45,45,45,10,36,30,45,10,36,30,30,12,10,1,1],[
1,14,45,2,2,45,39,75,1,6,6,30,30,10,10,45,45,45,1,1,9,9,10,10,30,30,30,30,2,2,
45,1,5,5,6,6,9,9,9,30,30,2,2,6,6,6,6,1,5,5,10,10,9,9,9,1,2,2,6,6,6,6,5,5,5,9,
1,1,1,6,6,5,1,1,1,2,2,1,1,1,1],[1,42,9,9,48,64,2,36,6,27,18,36,18,48,96,9,66,
48,6,9,9,36,36,36,9,18,24,96,64,2,20,32,24,48,10,6,16,27,36,18,24,24,18,36,1,
9,18,9,18,16,24,48,96,9,6,9,12,48,24,24,6,12,9,18,36,36,36,16,9,10,16,32,32,
24,8,24,24,1,2,4,2,4,6,6,9,18,9,18,16,8,6,12,24,48,24,6,6,9,8,1,4,4,2,2,6,6,8,
1,6,6,1,1],[1,24,63,9,48,64,2,9,6,63,81,72,54,9,27,18,24,54,72,9,102,48,24,9,
27,81,9,27,27,27,54,27,27,24,96,64,2,20,32,24,48,10,6,16,9,36,18,3,9,3,18,9,
54,18,54,72,72,36,1,9,27,27,27,27,9,4,12,24,72,96,6,9,3,9,6,18,3,9,9,9,18,24,
12,9,18,9,18,24,9,9,36,16,9,10,16,32,32,24,8,12,12,12,12,1,2,4,9,2,4,3,3,9,9,
18,18,9,9,9,9,9,16,1,3,4,6,12,24,18,24,12,3,6,3,9,8,1,4,4,2,2,3,3,3,3,4,4,1,3,
6,3,1,1],[1,6,21,9,48,64,2,24,9,18,18,16,21,30,48,48,96,3,6,9,18,18,9,24,96,
64,2,20,32,24,48,10,24,16,9,18,18,1,9,9,24,48,16,32,16,3,6,9,12,6,12,12,24,9,
18,18,16,3,10,16,32,32,24,8,1,2,4,2,4,9,9,16,6,12,12,1,3,3,6,8,1,4,4,2,2,1,1,
2,3,1,1],[1,48,63,6,18,16,1,72,81,18,81,54,27,45,42,54,42,12,18,48,78,6,36,9,
27,27,18,18,54,108,54,27,54,27,9,24,16,1,4,4,2,2,18,18,6,6,78,6,36,54,54,36,
18,18,54,18,27,27,27,27,27,9,27,9,3,8,3,60,12,72,24,48,6,6,12,12,6,6,18,18,9,
6,18,6,18,18,18,54,18,18,18,4,27,1,3,2,2,4,4,1,6,30,6,6,24,3,3,6,6,6,6,9,9,9,
18,18,12,8,2,2,1,6,6,6,6,12,12,6,6,3,3,3,3,3,3,6,6,6,6,9,4,4,1,4,1,3,3,3,3,3,
6,6,3,1,4,2,2,3,1,1,1,1],[1,10,65,40,10,70,15,10,60,30,60,96,80,40,80,10,5,15,
10,60,30,60,60,10,15,30,30,96,10,40,40,40,40,1,15,30,30,15,30,30,20,40,20,10,
40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,50,105,10,6,76,30,215,240,150,
120,56,30,60,6,40,80,30,80,50,55,45,180,180,56,60,120,120,140,60,120,60,15,70,
60,120,6,30,30,5,10,50,40,30,10,10,60,80,80,60,60,160,20,5,20,15,15,70,15,60,
60,60,90,90,120,15,30,15,30,30,20,30,15,30,18,18,12,6,6,18,30,18,6,6,10,10,15,
15,10,10,10,10,20,20,25,10,40,80,20,40,30,60,10,20,20,20,20,20,20,15,15,30,20,
30,15,30,30,30,6,6,6,6,18,18,6,30,6,6,6,5,5,10,10,15,25,15,5,10,10,10,10,10,5,
20,20,20,20,1,15,6,6,6,6,6,6,6,5,5,5,5,5,10,5,5,3,3,5,6,5,1,1,1,3,5,3,1,1,1,1,
1,1,1,1,1],[1,105,1,28,56,14,126,21,28,28,84,168,21,84,8,21,63,63,28,14,28,14,
84,42,21,24,63,28,28,28,8,16,8,14,21,21,21,14,28,8,24,21,8,14,8,1,3,1,1],[1,
45,21,60,40,15,15,45,36,60,60,45,45,30,60,40,36,15,15,30,30,15,15,45,36,10,60,
60,15,15,45,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,24,135,12,42,40,5,135,
135,6,16,6,180,450,360,120,30,45,21,60,40,6,54,54,5,20,20,10,10,90,180,90,90,
12,12,1,75,120,180,15,80,20,60,54,45,30,30,10,12,12,36,36,36,36,10,10,20,20,5,
60,60,15,15,6,10,10,10,1,36,36,5,30,30,6,6,6,5,10,9,2,2,6,5,6,6,1,1],[1,15,30,
12,42,40,5,45,45,6,10,30,10,60,30,30,30,30,60,45,21,60,40,6,5,20,20,10,10,45,
15,30,15,45,12,12,10,15,30,20,10,20,20,10,30,60,18,15,30,15,45,10,12,12,10,10,
20,20,5,10,15,15,30,6,10,10,10,1,6,18,5,15,30,15,6,5,10,3,2,2,6,5,1,3,1,1],[1,
45,12,42,40,5,45,45,6,50,60,90,90,45,21,60,40,6,5,20,20,10,10,45,15,45,45,12,
12,10,45,70,40,60,18,15,30,15,45,10,12,12,10,10,20,20,5,10,15,45,6,10,20,1,6,
18,5,15,30,15,6,5,10,3,2,2,6,5,1,3,1,1],[1,54,69,8,32,2,78,42,135,90,126,36,
42,54,90,56,96,24,32,72,96,6,18,45,27,90,54,42,18,54,126,54,108,108,108,36,18,
27,54,54,54,54,36,16,2,16,24,8,24,24,72,24,72,96,24,1,6,9,27,54,54,9,54,18,18,
54,54,54,9,18,18,27,54,18,54,6,18,9,18,18,36,36,16,32,32,14,6,48,24,24,24,24,
18,24,8,24,24,24,24,9,6,9,27,18,9,18,27,6,18,9,9,18,18,18,18,18,16,8,16,16,2,
6,2,18,18,6,24,6,6,24,9,9,9,9,9,9,9,8,16,8,8,2,6,2,6,6,6,6,6,6,6,9,1,8,6,6,1,
2,2,1,1,1,1],[1,30,109,1,16,32,6,22,26,135,138,162,108,30,30,54,4,16,28,64,48,
96,96,25,18,48,64,32,2,54,13,27,66,162,30,54,90,90,30,84,36,108,36,2,3,42,18,
54,90,36,16,4,8,8,16,6,26,27,4,54,48,6,18,6,28,18,48,96,36,36,36,64,48,96,30,
12,3,18,3,3,42,18,9,54,54,54,54,54,90,3,6,18,9,18,18,6,18,18,9,18,18,36,36,16,
16,16,16,16,16,16,2,1,18,27,4,16,12,8,8,24,24,6,18,18,18,12,12,36,2,16,12,8,8,
16,3,6,18,4,18,12,4,18,36,48,18,18,30,12,12,36,8,8,8,12,12,12,12,12,12,1,6,3,
9,18,3,6,9,18,18,9,9,18,18,18,18,18,4,8,16,16,16,16,16,16,16,3,12,1,6,6,16,12,
12,24,8,24,3,3,6,18,3,6,3,6,3,6,18,6,18,6,18,18,18,6,6,6,6,12,12,12,12,12,12,
24,24,24,3,3,9,9,9,9,9,4,4,4,8,4,4,8,8,4,4,16,8,1,1,2,12,6,6,3,3,3,6,3,3,3,6,
6,6,6,6,6,6,9,4,4,4,8,4,4,4,4,8,1,1,3,3,3,3,3,3,6,3,3,1,4,3,3,1,1,1,1],[1,20,
75,10,5,75,75,50,150,7,24,10,50,50,25,75,75,7,45,120,45,5,50,50,50,10,75,10,
90,120,5,45,15,25,50,6,10,10,10,5,15,45,25,6,12,1,5,10,10,10,15,6,6,6,5,5,10,
6,5,5,1,1,1],[1,20,75,10,5,75,75,150,50,7,24,10,50,50,25,75,75,7,45,120,45,5,
50,50,50,10,75,10,90,120,5,15,45,25,50,6,10,10,10,5,15,45,25,6,12,1,5,10,10,
10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,36,99,3,6,40,54,81,54,108,162,27,81,21,18,
45,24,54,144,72,18,45,18,72,144,27,81,162,108,81,3,12,6,4,24,27,27,27,54,27,
45,18,18,108,27,54,81,72,54,216,27,81,3,12,9,6,12,18,9,18,24,6,12,6,24,18,18,
36,72,24,27,27,27,27,27,27,27,54,27,27,27,1,4,8,3,9,12,12,6,18,36,18,18,18,18,
36,9,18,18,18,18,18,27,27,1,3,6,3,6,4,12,12,24,12,18,9,9,9,18,4,1,3,3,3,6,3,3,
3,6,12,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,42,49,112,14,28,70,63,126,84,
126,112,112,112,64,8,42,7,63,84,126,84,168,14,21,42,84,28,56,112,112,7,21,42,
84,21,42,84,42,64,28,56,28,56,112,28,56,56,7,28,21,21,42,7,28,56,8,21,7,7,7,7,
8,8,8,7,7,1],[1,48,135,20,20,16,15,90,135,135,270,90,45,135,36,60,60,180,180,
60,60,90,135,45,135,45,135,135,135,270,135,135,10,36,108,108,15,15,20,20,180,
180,180,180,15,15,135,135,135,135,45,10,30,30,36,108,108,15,15,45,45,45,45,60,
60,45,10,30,10,30,30,36,15,15,45,45,45,45,6,6,10,30,30,15,15,18,18,10,6,6,1,3,
1],[1,46,45,20,20,15,15,45,45,45,60,90,60,36,60,60,60,60,20,20,15,15,45,45,45,
45,45,45,45,90,10,36,36,36,15,15,20,20,60,60,60,60,45,45,45,15,15,45,45,10,10,
10,72,36,15,15,15,15,15,15,60,60,45,10,10,10,20,20,36,15,15,15,15,15,15,6,6,
10,10,10,15,15,6,6,10,6,6,1,1,1],[1,24,135,14,80,6,3,30,135,135,180,90,3,45,6,
14,150,240,150,60,45,45,135,3,45,45,45,90,45,45,40,6,54,54,6,60,120,30,30,30,
90,90,150,30,24,5,15,45,45,45,45,15,40,80,18,6,54,54,18,18,18,1,15,60,30,30,
60,30,30,30,30,30,24,24,24,15,30,40,6,18,18,18,18,18,18,10,15,10,15,15,15,30,
1,6,24,10,10,30,18,5,15,9,6,6,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,24,135,10,4,80,8,
1,90,135,45,270,30,3,45,6,10,4,90,60,240,90,60,90,135,15,45,3,45,45,45,90,45,
45,40,6,54,54,5,1,40,20,120,30,20,10,30,30,90,90,60,60,30,24,15,5,45,45,45,45,
15,40,40,40,6,18,18,54,54,18,18,1,15,60,30,30,45,15,10,30,20,30,30,30,24,24,
24,15,20,10,40,18,6,18,18,18,18,18,15,5,5,10,15,15,15,30,1,6,24,10,10,10,20,
18,5,15,9,6,6,6,5,10,4,3,1,3,6,5,4,3,1,1],[1,76,75,20,20,15,120,225,150,135,
90,135,45,36,100,60,60,40,60,140,20,120,45,75,150,135,135,45,135,135,270,135,
135,10,36,36,36,15,15,60,60,140,20,120,180,120,60,15,15,135,135,135,135,45,10,
10,10,40,40,72,36,15,45,15,30,15,45,30,15,60,60,45,10,10,20,20,20,20,10,20,20,
36,15,15,45,30,45,15,15,30,6,6,20,20,10,10,10,15,15,12,12,6,6,10,6,6,1,2,1,
1],[1,78,45,14,80,6,120,30,135,90,120,90,6,110,240,30,150,30,45,45,120,180,
180,45,90,40,6,18,18,6,60,120,30,30,90,150,30,90,30,24,5,45,90,45,90,40,80,36,
36,6,18,18,40,180,120,90,30,30,10,30,30,30,30,24,45,30,40,6,18,18,10,10,30,30,
30,1,6,24,30,10,10,18,30,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,18,105,10,4,80,
5,1,45,135,75,120,30,90,90,6,10,90,40,240,60,30,60,15,15,90,90,90,30,90,180,
45,45,45,40,6,18,18,5,1,40,20,120,20,10,30,30,60,60,30,60,30,60,30,30,24,5,45,
45,45,45,45,45,40,40,40,36,36,6,18,18,30,10,120,120,60,30,60,30,15,15,10,30,
30,30,30,24,45,20,10,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,20,10,10,10,18,
30,15,15,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,18,105,4,10,80,1,5,45,75,135,120,
90,90,30,6,10,40,60,30,240,60,30,60,15,15,90,30,90,90,90,180,45,45,45,40,6,18,
18,1,5,20,40,120,10,20,30,60,30,30,60,60,60,30,30,30,24,5,45,45,45,45,45,45,
40,40,40,36,36,6,18,18,10,30,60,120,120,30,30,60,15,15,10,30,30,30,30,24,45,
10,20,40,6,18,18,5,5,10,15,15,15,15,30,1,6,24,10,20,10,10,18,30,15,15,6,3,6,5,
10,4,1,3,3,6,5,4,3,1,1],[1,48,55,10,4,80,5,76,165,150,45,30,45,15,6,40,40,10,
60,60,40,80,15,55,150,45,45,15,45,45,90,45,45,40,6,18,18,5,1,40,20,120,20,30,
40,60,60,40,60,120,60,24,5,15,45,45,45,45,15,40,40,40,6,18,6,18,18,10,15,5,15,
10,15,20,40,60,40,60,24,15,20,10,40,6,18,18,5,5,15,10,10,15,15,15,1,6,24,10,
20,10,10,6,5,15,1,3,3,6,5,10,4,1,3,3,6,5,4,1,1,1],[1,28,75,14,80,6,15,30,75,
135,120,90,15,45,6,20,60,30,140,80,40,45,45,135,15,45,45,45,90,45,45,40,6,18,
18,6,60,120,30,30,60,30,10,60,30,60,60,60,60,24,5,15,45,45,45,45,15,40,80,18,
6,6,18,18,10,5,15,40,20,30,20,30,60,60,24,15,30,40,6,18,18,10,15,10,10,15,15,
15,1,6,24,10,20,20,6,5,15,3,1,3,6,5,10,4,1,3,3,6,5,4,1,1,1],[1,63,84,28,63,84,
252,36,9,28,84,63,36,84,28,36,63,28,36,28,9,9,1,1],[1,42,9,9,48,64,2,36,6,27,
18,36,18,216,48,96,9,66,48,6,9,9,36,36,36,9,18,108,108,24,96,64,2,20,32,24,48,
10,6,16,27,36,18,24,72,24,18,36,1,9,18,9,18,54,54,16,24,48,96,9,6,9,12,48,24,
24,6,12,9,18,36,36,36,36,36,16,9,27,27,48,10,16,32,32,24,8,24,24,1,2,4,2,4,6,
6,18,9,18,9,18,18,16,27,8,6,12,24,48,24,6,6,9,9,9,8,16,1,4,4,2,2,6,6,9,8,1,6,
6,1,3,1,1],[1,42,33,9,48,64,2,36,42,27,90,36,54,48,96,32,33,66,48,96,192,6,6,
9,27,36,54,36,108,18,27,18,54,24,96,64,2,20,32,24,48,10,42,16,27,36,90,24,24,
96,54,36,1,27,18,54,9,18,18,54,16,24,96,48,32,64,32,96,6,9,6,27,12,48,24,24,
24,18,6,12,24,48,27,18,54,54,36,36,108,16,9,6,9,9,18,10,16,32,32,24,8,16,24,
24,96,1,2,4,2,4,6,24,6,27,18,54,9,18,18,54,16,32,9,8,6,24,12,24,24,48,24,2,6,
9,6,6,9,6,12,9,18,8,16,1,4,4,2,2,6,6,24,6,9,8,1,2,6,2,4,6,6,1,1,6,1,2,1],[1,
78,117,9,48,64,2,162,6,351,270,126,108,54,18,54,84,144,108,144,9,210,48,42,
117,9,270,162,54,54,162,162,252,36,108,108,9,126,54,162,24,96,64,2,20,32,24,
48,10,6,16,27,108,18,30,18,210,36,54,108,36,324,144,144,18,108,1,18,27,9,126,
27,54,54,54,162,162,162,9,18,27,54,54,18,54,27,54,24,24,24,192,288,9,6,9,18,
18,60,24,36,30,18,18,18,36,108,36,42,12,9,18,36,54,36,108,18,36,48,18,18,36,
108,36,108,36,36,36,108,16,9,27,54,18,54,27,54,54,54,10,16,32,32,24,8,96,48,
24,24,48,48,1,2,4,18,2,4,9,6,6,42,54,18,36,36,6,9,9,18,9,18,9,18,9,18,18,18,
18,18,18,18,18,18,18,36,36,36,108,48,27,10,6,8,6,36,24,96,36,48,24,24,48,48,6,
6,18,12,6,18,6,9,9,9,18,18,18,18,18,18,18,18,16,8,1,4,4,2,2,6,6,6,6,6,6,24,12,
36,9,18,8,16,1,6,2,6,12,6,6,6,6,6,6,1,8,3,6,1,2,1],[1,45,20,20,15,15,45,37,
144,60,60,45,10,36,45,15,15,20,20,10,15,15,45,15,15,36,60,60,10,45,10,36,6,6,
15,15,10,15,15,10,6,6,1,1],[1,30,125,40,10,10,130,135,70,270,60,30,150,70,96,
40,80,120,120,80,10,90,5,135,30,90,30,70,90,90,150,60,180,180,60,10,15,30,90,
90,90,60,96,10,40,40,40,40,40,80,80,120,120,40,15,10,1,15,30,90,15,90,90,90,
30,30,90,15,30,90,15,30,30,30,30,10,15,30,30,60,60,96,10,20,30,40,40,40,40,20,
30,40,40,40,40,40,40,40,5,30,15,15,30,15,30,15,30,10,15,15,30,30,30,30,30,10,
10,20,10,30,20,30,40,10,10,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,
10,16,15,6,5,5,5,10,6,5,1,1],[1,24,63,4,28,224,8,7,42,63,63,126,42,21,63,28,
84,84,84,8,42,63,21,63,21,63,63,63,126,63,63,112,1,7,7,112,56,168,168,28,28,
28,84,84,84,24,7,7,63,63,63,63,21,112,8,64,32,7,7,21,21,21,21,21,28,84,8,21,
28,28,28,24,7,7,7,7,14,14,21,21,21,21,21,32,28,28,28,8,8,16,7,7,21,7,7,1,8,7,
7,3,4,1,1],[1,84,135,12,42,40,5,180,405,135,90,6,96,126,180,450,360,240,150,
45,135,90,270,135,21,60,40,6,54,54,5,20,20,10,10,180,30,240,90,540,90,450,90,
12,12,135,21,75,120,180,75,180,60,180,36,54,30,60,30,90,45,30,180,30,90,90,90,
10,12,12,36,36,36,36,10,10,20,20,5,90,150,180,15,75,30,150,54,6,45,90,10,30,
30,1,12,36,36,36,10,5,30,60,30,30,15,75,30,30,6,6,6,10,5,30,30,6,9,36,15,30,2,
2,6,12,10,5,10,9,2,6,6,6,6,5,1,6,1,2,1],[1,24,195,12,42,40,5,135,90,225,270,
90,6,16,6,240,20,450,120,360,60,120,30,60,120,45,135,90,270,135,21,60,40,6,54,
54,5,20,20,10,10,90,90,30,60,30,180,180,180,180,60,90,90,360,90,12,12,135,1,
75,20,120,180,15,60,80,20,40,20,20,60,60,120,36,54,30,60,30,90,45,30,90,30,90,
90,90,90,10,12,12,36,36,36,36,10,10,20,20,5,10,20,60,120,60,30,60,60,15,15,60,
30,30,60,60,54,6,45,90,10,10,20,10,20,1,12,36,36,36,10,5,30,60,30,30,15,15,60,
30,30,6,6,6,10,5,10,20,10,20,6,9,36,15,30,2,2,6,12,10,5,10,9,2,6,6,6,6,5,1,6,
1,2,1],[1,60,15,21,60,40,15,60,45,45,90,36,80,60,20,15,120,120,60,120,15,15,
90,90,45,30,60,40,36,15,15,30,30,15,45,60,45,60,60,90,36,45,10,60,60,100,20,
40,40,20,60,36,15,15,15,30,15,15,30,15,30,45,90,90,10,36,10,15,15,10,10,60,60,
15,15,45,10,20,20,6,6,36,15,15,10,30,15,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,
1,1],[1,48,135,21,60,40,15,15,135,135,135,45,135,36,61,60,225,540,360,105,60,
45,45,45,135,135,135,135,30,60,40,36,108,108,15,15,30,30,15,15,45,45,45,225,
180,45,36,135,10,90,120,180,30,80,20,60,108,15,15,45,45,90,90,45,45,45,45,15,
15,45,45,45,10,36,36,36,10,30,15,15,60,60,30,45,45,45,10,10,10,6,6,36,15,15,
15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,90,45,21,60,40,15,
150,135,135,180,36,135,180,15,60,120,225,180,45,45,180,270,135,30,60,40,36,15,
15,30,30,15,15,45,225,45,45,180,45,36,135,30,20,180,60,180,60,120,108,15,60,
90,45,90,45,45,45,45,15,15,45,45,45,10,36,10,15,15,30,90,60,45,45,45,30,20,6,
6,36,15,15,30,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,24,135,
12,42,40,5,135,135,9,135,6,16,6,180,450,360,120,30,45,135,135,21,60,40,6,54,
54,5,20,20,10,10,90,90,180,90,90,90,12,12,45,1,75,120,180,15,80,20,60,54,54,
54,45,30,30,90,10,12,12,36,36,36,36,1,15,10,10,20,20,5,60,60,15,15,54,6,45,10,
10,10,1,36,36,5,30,30,15,15,6,6,6,5,10,10,10,9,5,2,2,6,6,6,5,10,9,6,6,6,5,1,1,
1],[1,105,35,140,35,105,315,126,210,420,105,120,315,70,126,35,105,70,35,105,
105,70,126,120,105,105,210,105,70,35,21,42,35,21,30,7,1],[1,54,205,10,4,80,8,
76,90,315,420,360,300,78,90,150,6,40,4,160,40,60,240,240,70,120,60,40,80,120,
55,135,240,450,78,150,270,270,240,180,360,180,45,120,180,270,40,6,54,54,5,1,
40,20,120,30,20,90,40,90,60,30,30,60,60,160,120,60,120,180,180,240,40,60,60,
240,60,60,24,15,50,15,45,120,45,180,180,180,180,180,270,45,90,45,90,90,60,60,
45,90,40,40,40,40,40,40,40,42,18,36,6,18,18,54,54,18,18,10,30,1,15,35,10,15,
120,120,60,60,30,30,30,30,60,60,60,60,45,10,15,20,30,40,120,60,40,90,180,20,
60,30,60,60,60,60,60,60,60,60,60,24,24,24,45,45,90,60,60,45,90,90,90,20,10,40,
40,40,40,40,40,40,18,6,18,18,54,18,18,54,18,18,18,15,5,5,15,10,10,30,15,10,45,
15,15,30,45,15,60,15,15,30,30,30,30,30,15,15,60,60,60,60,60,1,6,24,24,24,45,
20,10,10,10,10,10,20,10,10,20,40,18,6,18,18,18,18,18,30,5,15,5,15,15,15,15,15,
15,15,30,15,15,15,15,7,3,9,6,6,6,24,5,10,10,10,10,10,10,10,20,18,4,15,15,3,1,
3,9,9,3,3,6,6,6,5,5,5,10,4,4,4,3,1,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,94,165,14,
80,6,198,30,495,450,210,180,138,90,90,6,124,240,180,240,30,260,80,70,165,45,
450,270,138,90,270,270,420,180,180,180,45,210,90,270,40,6,54,54,6,60,120,30,
90,180,30,90,30,260,120,180,120,60,540,240,120,24,5,30,45,45,210,45,90,90,90,
270,270,270,45,90,45,90,90,30,90,45,90,40,40,40,160,18,42,36,18,6,54,54,18,18,
18,30,10,46,30,180,120,60,90,30,30,30,60,120,70,20,30,120,180,40,180,30,60,30,
60,120,120,60,60,120,24,24,24,45,45,90,30,90,45,90,90,90,30,80,80,40,80,6,18,
18,18,18,54,18,54,18,18,18,10,30,10,30,10,70,90,30,60,30,30,30,30,30,30,30,60,
60,60,120,1,6,24,24,24,45,30,10,10,40,40,40,6,18,18,18,18,18,18,30,10,30,30,
30,30,30,30,30,3,7,9,6,6,6,24,5,10,10,10,20,40,18,4,30,1,3,3,3,9,9,3,6,6,6,5,
10,10,4,4,4,1,3,3,3,3,3,3,6,5,1,4,3,1,1,1,1],[1,78,165,20,20,16,120,90,315,
240,360,180,150,90,150,36,100,60,180,40,180,180,60,120,120,75,135,180,270,150,
150,270,270,360,180,360,180,45,180,180,270,10,36,108,108,15,15,20,20,60,60,20,
20,140,20,120,180,300,120,180,180,60,60,15,30,15,45,180,45,180,180,180,180,
180,270,45,90,45,90,90,60,60,45,90,10,30,30,40,40,72,72,36,108,108,15,45,45,
30,45,20,20,60,60,75,30,45,60,60,60,60,60,60,60,60,60,60,45,45,90,60,60,45,90,
90,90,10,30,10,20,20,20,20,30,30,20,20,20,20,36,36,36,15,15,15,15,45,30,75,15,
45,30,45,45,15,15,15,15,60,60,6,6,45,10,20,20,30,30,10,10,10,10,20,20,20,20,
36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,12,12,18,18,10,10,10,10,10,10,10,
15,15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,1,1],[1,78,141,9,48,64,2,162,42,351,270,
198,108,54,54,270,84,144,108,32,144,33,210,48,96,192,6,42,117,27,270,162,54,
54,162,378,54,252,108,324,108,18,27,126,54,162,162,108,24,96,64,2,20,32,24,48,
10,42,16,27,108,90,30,90,210,36,54,108,36,324,96,144,144,54,108,1,18,27,27,
126,54,27,162,54,54,162,162,162,9,18,18,81,162,54,54,18,54,27,54,54,108,108,
24,24,24,96,192,32,64,32,288,6,9,6,27,18,18,60,24,24,36,30,18,90,18,36,108,
108,18,42,12,24,48,27,18,54,36,54,36,108,18,36,48,18,54,54,36,108,108,108,36,
36,36,108,36,16,9,6,9,81,54,9,18,81,18,54,27,27,54,54,54,54,54,48,10,16,32,32,
24,8,16,96,48,24,24,48,48,96,1,2,4,18,2,4,9,6,6,42,54,18,24,36,36,6,27,27,18,
54,9,18,9,18,9,18,18,18,18,18,18,18,54,18,54,18,18,54,36,36,36,108,36,36,48,
32,27,9,27,27,27,27,27,10,6,8,6,24,48,36,24,24,96,36,48,24,24,48,48,2,6,9,6,
18,12,6,18,6,6,9,6,12,27,9,18,9,9,27,18,18,18,18,18,18,18,18,18,18,16,8,16,16,
27,1,4,4,2,2,6,6,6,6,6,6,24,24,12,36,9,6,9,9,9,9,9,9,18,8,16,16,1,2,6,2,4,2,6,
12,6,6,6,6,6,6,6,9,1,8,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,30,225,20,200,10,150,225,
450,12,144,20,300,600,300,150,225,100,12,180,720,180,10,200,600,100,300,300,
120,25,100,200,60,180,180,150,100,36,120,120,120,100,100,60,50,50,36,72,2,120,
60,120,100,36,30,60,25,20,10,12,20,12,10,1],[1,30,225,10,10,200,5,5,225,225,
225,150,12,144,10,10,150,150,600,150,150,75,75,225,100,12,180,720,180,5,5,100,
100,600,50,50,150,150,150,150,60,60,25,100,100,100,30,30,90,180,90,75,75,50,
50,36,60,60,60,60,60,60,50,50,100,30,30,25,25,50,36,72,1,1,60,60,30,30,60,60,
50,50,36,15,15,30,30,25,10,10,5,5,6,6,10,10,6,6,5,5,1],[1,50,225,20,20,15,15,
225,225,225,45,225,37,144,60,60,300,300,100,100,75,75,45,225,225,225,225,10,
37,225,720,225,15,15,300,300,20,20,225,10,50,50,15,15,45,225,45,45,45,15,15,
75,75,75,75,36,20,20,60,60,60,60,10,50,50,15,15,45,45,45,45,45,10,75,75,36,72,
6,6,15,15,60,60,50,45,10,10,10,36,30,30,15,15,15,15,15,15,10,10,10,15,15,6,6,
1,10,6,6,5,1,1],[1,42,49,1,112,224,14,28,70,63,126,84,126,112,112,49,42,112,
224,64,8,42,7,63,84,126,84,168,14,21,42,84,112,28,56,112,56,112,224,14,70,63,
28,126,112,126,84,7,21,42,84,21,42,84,42,112,112,112,64,128,64,8,7,42,63,28,
56,28,56,112,14,28,56,56,112,21,42,84,126,84,84,168,56,56,56,7,28,21,21,42,56,
28,112,112,7,7,14,28,56,21,42,84,21,42,84,42,8,64,21,28,56,28,28,56,112,56,56,
7,7,7,7,14,28,21,7,14,21,42,7,28,56,8,8,8,8,8,8,7,7,21,7,7,7,7,8,8,8,7,7,1,
1],[1,48,135,24,180,160,16,15,90,135,135,270,90,45,135,36,60,60,180,180,240,
60,90,135,45,135,45,135,135,135,270,135,135,90,240,160,36,108,108,16,15,160,
40,120,360,360,80,20,60,180,180,180,180,180,144,15,15,135,135,135,135,45,10,
30,30,240,240,36,108,108,15,15,45,45,90,45,60,60,180,40,144,45,10,30,80,20,40,
40,60,10,30,30,36,30,15,15,30,30,45,45,45,45,45,40,6,6,36,10,60,60,60,60,30,
30,15,15,45,10,40,18,18,36,15,15,10,24,24,10,6,6,15,15,1,10,6,6,3,4,1,1],[1,
84,195,12,42,40,5,180,405,90,225,270,99,225,6,96,126,240,20,450,120,360,60,
240,150,60,120,45,135,135,90,90,270,360,270,135,270,135,21,60,40,6,54,54,5,20,
20,10,10,180,90,90,30,90,30,240,60,30,180,180,180,540,60,90,450,360,180,90,12,
12,135,135,135,135,135,45,135,21,75,20,120,180,75,60,180,20,40,60,20,180,60,
120,36,36,54,54,54,30,30,60,60,30,90,90,30,90,90,45,30,180,90,30,90,90,90,90,
180,90,90,90,90,10,12,12,36,36,36,36,135,1,15,10,10,20,20,5,10,90,20,60,120,
150,30,180,60,15,75,60,30,30,150,30,60,60,54,54,54,6,45,45,45,90,90,90,10,30,
20,30,20,1,12,12,36,36,36,36,10,10,5,10,30,30,30,60,60,30,30,15,15,15,15,15,
75,60,30,30,30,30,54,6,6,6,45,10,10,5,10,10,20,30,10,30,20,6,6,9,36,36,5,15,
15,15,15,15,30,30,15,2,2,6,6,6,12,12,10,10,5,10,10,10,10,10,10,10,9,9,9,15,2,
2,6,6,6,6,6,6,6,5,5,5,10,9,1,6,6,6,5,1,2,2,1,1,1,1],[1,108,195,21,60,40,15,
240,585,450,315,270,225,135,36,156,180,240,80,540,120,360,15,360,180,240,120,
105,195,450,405,225,135,405,405,630,315,405,30,60,40,36,108,108,15,15,30,30,
15,45,240,45,180,45,45,360,60,90,60,360,90,90,720,240,540,360,90,36,45,45,315,
405,405,405,135,30,90,20,120,180,90,60,240,20,40,60,80,180,60,120,144,108,15,
15,15,75,45,90,60,45,90,90,90,45,45,45,45,90,90,105,30,60,45,30,45,60,90,30,
240,45,90,180,45,90,90,90,90,90,90,10,36,36,36,135,10,30,15,15,40,120,20,60,
120,180,60,180,60,90,60,180,60,60,60,108,45,45,15,15,105,60,135,45,45,90,90,
90,45,45,45,45,45,90,90,90,90,10,30,20,30,20,6,6,36,36,36,15,15,15,15,15,15,
40,60,30,15,15,30,15,15,30,30,90,60,45,45,45,10,10,10,10,20,30,10,30,20,24,24,
18,18,36,15,15,15,15,15,15,30,30,15,15,15,15,30,6,6,10,10,10,10,10,10,10,18,
18,15,15,1,6,6,6,6,6,6,10,4,3,6,6,1,3,1,1,1,1],[1,106,105,35,140,35,105,105,
315,105,315,315,126,210,420,210,420,105,140,140,120,35,105,315,315,315,315,
315,70,126,126,126,35,105,70,35,105,105,105,105,105,210,105,210,420,120,315,
70,70,70,126,126,126,120,35,105,105,105,210,105,210,105,105,105,105,35,70,105,
105,105,70,70,35,70,126,120,105,105,210,105,21,42,35,35,35,70,21,21,21,42,35,
30,21,30,7,7,1,1],[1,126,105,35,140,35,210,315,315,420,126,245,420,105,140,
315,420,120,105,105,420,630,315,70,126,126,126,35,105,70,35,105,105,315,105,
315,420,105,120,315,70,140,140,252,126,120,105,140,210,105,105,105,105,105,35,
105,105,105,105,70,35,70,70,126,120,105,105,105,21,42,35,70,35,35,42,42,21,35,
30,21,7,7,1,1],[1,130,225,20,200,10,300,150,675,450,300,450,12,144,220,600,
300,600,500,200,150,225,225,300,900,900,225,450,100,12,180,720,180,10,200,600,
100,300,300,500,300,900,600,300,120,25,225,450,225,450,100,100,100,400,120,
360,720,60,180,180,100,600,600,300,300,150,100,300,300,300,300,36,120,120,120,
225,100,200,200,100,200,60,180,180,50,50,150,150,300,36,72,2,120,60,120,120,
120,100,100,100,100,180,150,150,36,36,36,20,120,30,60,120,25,100,20,36,10,30,
30,60,25,12,20,20,20,30,12,10,20,12,10,1,1],[1,30,325,10,10,200,5,5,225,375,
375,600,150,450,150,12,144,10,10,250,100,150,600,600,100,150,150,100,200,75,
75,450,150,450,150,450,900,225,225,225,100,12,180,720,180,5,5,100,100,600,50,
50,150,150,150,150,100,150,150,300,150,300,150,100,150,150,600,150,150,60,60,
25,225,225,225,225,225,225,100,100,100,100,100,100,100,60,60,360,720,30,30,90,
180,90,50,50,300,600,300,150,150,150,150,75,75,50,150,50,150,150,150,150,150,
150,150,36,60,60,60,60,60,60,225,50,50,100,100,100,100,100,100,100,30,30,90,
90,180,25,25,50,75,75,75,75,150,150,36,72,1,1,60,60,30,30,60,60,60,60,60,60,
50,50,50,50,50,50,100,90,90,150,75,75,36,36,36,10,10,60,60,15,15,30,30,60,60,
25,50,50,10,10,36,5,5,15,15,15,15,30,30,25,6,6,10,10,10,10,10,10,15,15,6,6,5,
5,10,10,6,6,5,5,1,1],[1,50,225,20,20,15,15,225,225,225,120,450,300,37,144,60,
60,300,300,100,100,75,75,45,225,225,225,225,225,225,450,10,37,225,720,225,15,
15,100,100,300,300,300,300,20,20,225,225,225,75,75,225,225,10,50,50,15,15,450,
720,15,15,45,225,45,45,45,15,15,75,75,75,75,300,300,36,20,20,60,60,60,60,225,
10,50,50,100,100,15,15,45,45,45,45,225,45,45,45,45,10,75,75,75,75,75,75,36,72,
6,6,15,15,20,20,60,60,60,60,50,50,50,15,15,45,45,45,45,45,10,10,10,75,75,36,
36,36,30,30,15,15,15,15,15,15,60,60,50,45,10,10,10,20,20,36,30,30,15,15,15,15,
15,15,6,6,1,10,10,10,15,15,6,6,5,10,6,6,5,1,1,1],[1,105,36,210,280,35,105,315,
126,210,420,210,210,120,315,105,420,280,126,35,105,140,140,210,70,70,105,105,
105,315,126,70,105,210,420,126,120,240,120,105,105,210,105,315,70,126,70,70,
70,140,140,105,35,105,105,70,21,42,126,120,35,105,105,210,105,35,70,21,30,21,
42,35,7,21,30,7,1,1],[1,165,220,330,495,396,660,220,660,495,165,495,55,396,
144,330,660,495,55,220,396,330,165,165,110,165,144,66,132,55,55,55,66,55,11,
12,11,1],[1,165,220,330,495,396,660,220,660,495,165,495,55,396,144,330,660,
495,55,220,396,330,165,165,110,165,144,66,132,55,55,55,66,55,11,12,11,1],[1,
138,225,24,180,160,16,330,90,675,450,540,360,360,270,180,36,240,540,240,120,
180,480,600,60,360,180,225,135,450,540,360,180,540,540,1080,540,540,540,135,
540,270,540,90,240,160,36,108,108,16,15,160,40,120,360,360,80,20,240,180,240,
60,600,60,360,360,720,360,180,180,360,180,144,15,60,45,135,540,135,270,270,
270,540,540,540,135,270,135,270,270,90,180,135,270,90,30,80,30,600,120,720,
240,480,216,216,36,108,108,15,120,60,480,90,45,360,120,360,360,240,60,180,360,
180,90,45,120,240,60,180,360,180,360,180,360,180,40,144,135,135,270,90,180,
135,270,270,270,10,30,80,20,40,40,60,10,60,300,60,60,240,30,30,60,60,60,60,36,
108,108,30,15,60,45,30,30,180,90,180,45,45,90,90,45,90,45,45,90,360,180,120,
80,6,6,36,144,135,80,20,60,10,60,60,120,60,60,120,120,120,60,60,30,30,30,30,
30,30,60,60,60,60,108,90,90,15,30,60,45,90,90,45,45,45,90,90,45,45,90,40,40,
10,40,36,36,18,18,36,15,15,10,30,30,30,30,30,60,120,60,30,24,24,90,45,10,40,
20,20,6,6,18,18,18,18,36,15,15,15,15,30,30,1,24,24,10,10,10,18,18,15,15,6,6,6,
3,10,4,1,3,3,6,6,4,3,1,1],[1,108,315,35,140,36,105,210,315,945,630,630,315,
945,126,210,420,630,1260,315,210,420,120,210,315,315,945,315,945,945,945,1890,
945,945,70,126,378,378,35,105,70,70,210,140,315,630,105,315,105,630,315,630,
630,630,1260,1260,360,35,105,945,945,945,945,315,70,210,210,378,126,126,378,
378,120,210,315,105,105,315,210,315,630,105,315,315,315,630,105,210,315,315,
210,315,630,420,315,315,120,315,70,210,35,70,210,210,126,378,378,360,35,35,70,
105,105,105,315,315,315,315,630,630,315,315,315,315,21,42,35,105,70,105,210,
210,126,120,105,105,210,105,63,21,63,126,35,70,105,105,30,21,42,63,63,35,90,7,
21,30,21,7,1,3,1],[1,148,315,35,140,35,336,945,1050,735,630,525,315,126,280,
420,420,280,420,105,560,140,840,120,245,315,1050,945,525,315,945,945,1470,735,
945,70,126,378,378,35,105,70,35,315,420,105,420,105,105,560,420,630,140,840,
210,210,1260,840,420,210,120,240,105,105,735,945,945,945,315,70,70,70,280,280,
126,378,126,378,378,120,105,35,105,175,105,210,210,105,210,105,105,105,105,
210,210,245,70,210,105,105,420,630,70,420,105,210,420,105,210,210,210,210,210,
210,120,315,70,70,35,140,140,140,140,70,140,140,126,378,378,120,240,105,105,
105,35,245,210,315,105,105,210,210,105,105,105,105,105,210,210,210,210,21,42,
35,35,35,140,140,70,70,70,70,70,126,120,105,105,105,21,63,84,63,42,35,35,35,
70,70,70,30,21,63,63,42,35,30,7,21,14,7,7,1,1,2,1],[1,106,105,35,140,35,105,
105,315,105,336,210,420,126,210,420,210,420,105,140,140,120,35,105,315,315,
315,315,105,105,315,630,70,126,126,126,35,105,70,35,105,105,140,210,140,105,
210,105,210,420,210,210,420,120,315,105,315,105,105,315,315,70,70,70,126,126,
252,126,126,126,120,35,105,105,105,210,105,210,105,105,105,105,35,70,105,105,
105,105,210,105,210,210,420,120,315,70,70,35,70,140,140,126,126,126,120,35,
105,105,210,35,105,105,105,105,105,105,105,105,105,21,42,35,35,35,70,70,70,
126,120,105,105,105,21,21,21,42,35,35,35,70,30,21,42,21,21,35,30,7,21,7,7,1,1,
1],[1,130,225,20,200,10,300,150,675,450,300,450,600,12,144,220,600,300,600,
500,200,150,225,225,300,900,900,225,450,900,900,100,12,180,720,180,10,200,600,
100,300,300,200,500,300,900,600,300,600,120,25,225,450,225,450,450,450,100,
100,100,400,120,360,720,60,180,180,100,600,600,300,300,150,100,300,300,300,
300,600,36,120,120,120,225,225,225,200,100,200,200,100,200,200,60,180,180,50,
50,150,150,300,36,72,2,120,60,120,120,120,225,100,100,100,100,100,100,180,150,
150,36,36,36,20,120,30,60,120,25,100,100,20,36,36,36,10,30,30,60,25,12,20,20,
20,36,30,25,12,10,20,12,10,1,1,1],[1,168,315,36,210,280,35,420,945,945,630,
126,336,630,420,420,630,840,840,210,1260,120,315,315,630,1890,945,105,420,280,
126,378,378,35,105,140,140,210,70,70,420,210,840,630,1260,1260,630,630,630,
360,126,945,105,105,140,105,840,420,1260,420,840,504,378,120,240,120,105,210,
420,315,630,210,630,315,315,210,420,210,630,630,630,70,126,126,126,70,70,70,
140,140,105,35,210,420,210,420,105,105,210,210,378,120,360,315,315,630,210,
140,21,42,126,126,126,120,70,105,35,210,210,105,420,210,105,210,105,105,210,
210,70,70,35,70,84,126,63,126,120,105,105,210,30,21,42,35,70,70,63,7,21,42,21,
21,35,30,21,21,7,7,1,3,1,1],[1,210,105,56,560,70,420,210,315,630,1260,630,336,
560,1680,560,840,1680,960,30,210,105,315,1260,630,1260,1260,210,315,630,630,
280,336,70,420,560,840,280,840,840,1680,336,35,315,630,630,315,630,630,630,
280,560,560,1008,960,420,420,1680,420,840,840,840,210,420,840,840,336,105,210,
315,315,630,280,280,280,280,70,70,210,420,840,210,240,56,168,336,315,280,280,
70,210,105,210,210,168,168,35,240,120,240,56,105,210,35,70,28,56,35,28,30,8,
1],[1,150,525,35,140,36,336,210,1155,1680,1260,1260,546,210,1050,126,280,420,
840,280,1260,315,630,420,840,120,420,315,315,1260,1890,546,1050,1890,1890,
1680,420,2520,1260,105,840,1260,1890,70,126,630,630,35,105,70,70,210,140,525,
420,630,420,140,420,140,560,840,840,140,840,840,840,1680,840,1260,1260,210,
420,420,360,240,35,210,105,105,840,315,1260,1260,1260,1260,1260,1890,105,210,
315,630,630,420,420,315,630,70,210,210,280,280,378,378,252,126,126,378,630,
378,126,126,120,105,210,315,105,175,315,210,210,315,630,140,420,420,420,420,
140,420,420,840,315,210,210,315,105,210,420,840,280,420,420,840,420,420,420,
420,420,420,420,420,420,420,420,420,420,420,420,120,120,120,105,315,630,420,
420,315,630,630,630,70,210,35,70,140,140,140,140,210,210,140,140,140,140,126,
126,126,126,378,378,126,630,126,126,126,360,240,35,35,70,105,105,105,105,140,
140,245,210,525,105,315,210,315,315,630,630,35,105,105,105,210,105,210,105,
210,105,210,210,420,210,420,420,420,210,210,105,105,420,420,420,420,420,120,
21,42,315,35,105,70,105,140,140,70,70,210,210,70,70,70,70,140,140,140,140,126,
126,126,126,126,126,126,120,120,120,105,105,105,210,105,35,105,105,105,140,
105,105,105,210,105,105,210,105,105,105,105,210,210,210,63,63,84,105,126,35,
70,105,105,35,35,35,35,70,70,70,70,70,70,70,70,126,30,120,105,105,105,21,21,
42,21,42,63,105,63,42,21,35,35,35,35,35,35,35,70,90,7,21,21,21,21,21,42,21,21,
35,30,14,21,21,7,7,7,1,7,3,2,1,1,1,1],[1,60,675,30,420,400,20,15,450,675,675,
1350,450,45,675,42,864,70,60,1350,4500,3600,750,300,450,675,225,675,45,675,
675,675,1350,675,675,210,600,400,42,810,4320,810,20,15,500,200,300,1800,1800,
250,100,150,450,450,1350,1350,900,900,450,480,120,75,75,675,675,675,675,225,
10,750,1200,1800,150,800,200,600,90,270,270,810,810,270,270,15,15,225,225,900,
900,450,450,450,225,150,450,300,450,450,450,216,100,480,120,720,360,720,360,
225,10,150,250,100,200,200,150,50,600,600,150,150,270,90,270,270,270,270,270,
60,150,75,75,150,150,225,225,225,225,225,450,216,432,100,100,100,7,6,720,360,
360,270,90,720,360,150,150,50,150,150,450,150,300,150,150,270,60,60,60,75,75,
225,216,50,100,100,100,135,90,270,90,90,90,90,90,75,75,50,150,150,80,20,60,60,
60,60,50,100,45,15,30,45,90,90,75,75,72,36,1,60,60,120,60,50,45,10,72,36,45,
15,30,15,10,10,5,15,15,6,10,10,6,6,6,5,1],[1,108,315,39,420,1120,36,105,210,
315,945,630,630,315,945,126,210,420,630,1260,315,630,1260,120,210,315,315,945,
315,945,945,945,1890,945,945,210,1680,1120,126,378,378,36,105,420,840,840,840,
1680,2520,210,210,420,315,420,630,105,315,105,630,315,630,630,630,1260,1260,
1260,360,504,35,105,945,945,945,945,315,70,210,630,840,1680,378,126,126,378,
378,120,960,480,210,315,105,105,315,210,315,630,105,315,315,315,630,210,420,
315,315,210,315,630,420,315,315,1260,280,120,504,315,70,210,210,420,840,840,
420,840,210,210,210,420,420,126,378,378,360,35,70,140,105,105,70,140,210,105,
105,315,315,315,315,630,630,315,315,315,315,315,280,21,42,126,504,480,35,105,
70,210,420,420,840,210,420,210,210,420,126,120,120,240,105,105,210,105,315,
210,280,63,21,63,126,126,35,140,140,105,70,70,70,105,105,105,105,30,84,168,70,
140,21,42,63,63,126,120,35,105,105,210,105,90,7,84,35,70,21,120,30,21,42,21,
35,28,7,21,30,1,7,3,4,1,1],[1,238,525,56,560,70,630,210,1575,1050,1890,1260,
1470,630,630,336,616,1680,840,1120,1680,1400,560,3360,960,30,630,525,315,1050,
1890,1470,630,1890,1890,630,3780,1260,1260,1260,210,315,1890,630,630,1890,
1260,280,336,1008,1008,70,420,560,840,280,840,1680,840,1400,560,3360,840,2520,
3360,1680,840,960,336,35,210,105,315,1890,630,315,630,630,630,1890,1890,1890,
315,630,630,315,630,630,630,210,630,315,630,630,1260,1260,280,280,280,1120,
1120,1344,1008,960,420,490,210,1680,840,420,840,840,840,840,630,840,420,840,
280,840,1680,840,840,840,840,336,336,336,105,210,315,315,630,315,630,315,210,
630,315,315,630,630,630,630,630,280,280,280,560,560,560,560,280,560,560,1008,
960,70,210,420,70,630,840,630,420,420,840,210,840,210,210,840,840,240,56,168,
336,336,336,105,315,315,315,315,315,315,280,560,560,280,280,280,280,280,70,
210,105,70,210,420,210,210,210,210,210,210,224,336,168,168,336,315,35,280,280,
240,120,240,56,105,210,105,105,210,168,168,35,70,70,120,28,56,56,56,105,35,35,
35,56,28,56,35,30,28,8,8,1,1],[1,210,825,30,420,400,20,690,450,2475,2250,1800,
1800,720,1350,900,42,864,420,1260,1500,200,4500,1200,3600,150,1500,1500,600,
1200,600,825,675,2250,2700,720,900,2700,2700,3600,2700,2700,2700,675,1800,
1350,2700,210,600,400,42,810,4320,810,20,15,500,200,300,1800,1800,250,100,450,
1500,450,900,750,450,300,1500,600,900,300,1800,1800,900,4500,600,900,4500,
3600,1800,900,480,120,75,300,225,675,1800,675,1350,1350,1350,2700,2700,2700,
675,1350,675,1350,1350,450,900,675,1350,210,750,200,1200,1800,750,600,1800,
200,400,600,200,1800,600,1200,90,450,1620,4320,90,270,270,810,810,270,270,150,
150,15,240,300,1500,150,225,1800,900,600,1800,900,900,750,450,450,450,900,300,
900,1800,600,300,150,225,300,450,600,900,600,1500,450,900,300,900,450,900,
1800,900,1800,900,900,900,1800,900,216,100,480,120,720,360,720,360,675,675,
1350,450,900,675,1350,1350,1350,10,150,250,100,200,200,150,50,100,900,200,600,
1200,1500,300,1800,600,150,750,600,300,300,1500,300,600,600,270,90,270,270,
270,810,810,270,270,270,270,60,150,75,300,225,150,150,150,150,600,150,900,225,
225,450,450,225,900,900,450,225,450,450,450,450,450,225,450,900,900,900,1800,
900,216,432,100,300,200,300,200,7,6,720,360,360,270,90,480,120,360,720,720,
360,675,250,150,100,150,150,50,150,150,100,300,600,150,150,300,600,600,600,
150,150,300,150,150,150,150,150,750,600,300,300,300,300,90,90,270,810,270,270,
270,60,60,60,450,450,75,150,300,225,450,450,225,225,225,450,450,450,225,225,
450,216,216,216,100,100,50,100,100,200,300,100,300,200,15,75,60,360,360,720,
135,90,270,90,90,90,90,90,720,360,75,75,50,150,150,150,150,150,150,150,150,
150,150,150,300,150,150,150,150,600,300,150,270,80,20,60,60,60,60,120,120,450,
225,216,100,100,50,100,100,100,100,100,100,100,45,15,30,135,90,45,45,135,90,
45,90,90,90,90,270,90,75,75,75,75,150,150,150,150,72,36,1,20,80,60,60,60,120,
60,120,60,60,60,60,50,50,50,100,15,15,45,135,45,90,45,45,90,90,10,75,75,72,36,
10,45,15,30,15,60,60,120,60,50,45,10,10,20,20,72,36,5,15,15,15,15,45,15,30,15,
15,6,10,10,10,10,10,10,15,15,15,6,6,6,5,10,10,6,6,6,5,1,1],[1,210,105,57,672,
1120,70,420,210,315,630,1260,630,336,560,1680,560,105,1050,1680,1680,3360,960,
30,210,105,315,1260,630,1260,1260,210,315,630,630,336,1680,1120,336,70,420,
700,1120,840,840,1680,350,210,560,315,420,630,840,840,1680,630,1260,672,672,
35,315,630,630,315,630,630,630,280,840,1680,1120,560,1120,1120,560,1680,1008,
960,1920,960,30,105,210,315,420,420,1680,420,840,840,840,210,210,420,420,840,
840,1680,315,630,630,630,1260,1260,1260,840,840,840,280,672,672,105,210,315,
315,630,280,350,560,1120,1120,420,840,280,280,280,840,840,1680,336,35,70,140,
70,140,210,420,840,210,315,630,630,315,630,630,630,280,560,560,240,56,168,336,
1008,960,315,280,210,420,840,280,420,420,420,840,840,1680,840,840,336,70,210,
105,105,210,210,210,315,210,420,315,630,280,280,280,280,168,168,35,140,140,70,
70,210,210,420,840,240,120,240,240,240,240,112,112,168,336,105,210,315,280,
280,35,70,210,70,140,105,210,210,28,56,168,168,35,120,240,240,56,35,105,210,
28,35,70,28,56,30,35,28,8,30,8,1,1],[1,234,945,39,420,1120,36,798,210,2835,
3150,2520,2520,1008,630,1260,126,504,1260,1680,840,3780,3360,315,1890,1260,
2520,120,840,945,315,3150,3780,1008,1260,3780,3780,5040,1260,3780,3780,315,
2520,1890,3780,210,1680,1120,126,1134,1134,36,105,420,840,840,840,1680,2520,
210,210,420,945,1680,630,1260,630,630,420,1890,1260,1890,420,2520,2520,1260,
5040,2520,3780,3780,630,2520,1260,360,720,504,35,420,315,315,2520,945,1890,
1890,1890,3780,3780,3780,315,630,945,1890,1890,630,1260,945,1890,210,630,560,
630,2520,840,5040,1680,3360,378,882,756,378,126,1134,1134,378,378,378,120,960,
480,315,210,315,105,336,420,1260,630,315,840,1260,840,2520,2520,630,630,630,
630,1260,420,1260,2520,1260,840,420,630,315,315,630,1260,1890,840,1680,630,
1260,1260,1260,630,630,1260,2520,1260,1260,2520,1260,1260,1260,1260,2520,1260,
280,120,360,360,504,504,504,315,945,1890,630,1260,945,1890,1890,1890,70,210,
210,420,840,840,420,840,210,420,1260,1260,420,1680,630,630,420,1260,1260,420,
126,378,378,378,378,1134,378,1134,378,378,378,360,480,720,35,70,140,105,420,
315,70,140,210,315,210,210,840,630,1260,315,315,630,630,315,1260,1260,210,315,
315,315,630,315,630,315,630,315,630,630,630,630,630,630,630,630,630,315,630,
1260,1260,1260,2520,1260,840,560,360,21,42,126,504,504,504,480,945,210,210,
140,420,210,210,420,420,840,420,420,840,840,2520,840,420,1260,210,210,630,210,
210,630,1260,420,420,1260,126,378,378,378,378,378,378,120,120,240,360,360,210,
630,105,210,420,420,315,210,630,315,315,210,315,315,315,630,315,630,630,630,
315,315,630,630,630,630,280,280,210,280,63,147,252,189,126,126,126,126,504,
480,35,140,140,105,70,70,70,210,210,210,210,210,210,210,210,210,210,630,420,
420,840,420,210,378,30,120,360,84,168,315,630,315,210,280,420,140,21,63,42,63,
126,63,189,189,126,63,126,126,126,120,35,105,210,70,105,105,210,420,210,210,
210,210,210,210,210,90,7,84,168,84,84,35,70,210,70,21,63,63,63,63,126,63,63,
126,120,120,105,105,210,30,42,21,42,21,84,35,70,70,63,28,7,21,21,21,21,42,21,
35,30,28,1,21,21,7,3,6,4,7,1,3,3,4,3,1,1],[1,294,1365,57,672,1120,70,1050,210,
4095,3150,4410,3780,1890,630,1890,336,756,2016,2940,2240,10080,3360,10080,105,
2730,3360,6720,3360,960,30,1470,1365,315,3150,5670,1890,1890,5670,5670,630,
8820,1260,3780,3780,210,315,4410,630,1890,5670,3780,336,1680,1120,336,3024,
3024,70,420,700,1120,840,840,1680,350,210,560,315,2940,630,5040,1050,630,2730,
420,630,1680,10080,3780,1260,8820,6720,5040,10080,10080,630,3780,2880,672,672,
35,630,315,315,4410,630,945,1890,1890,1890,5670,5670,5670,315,630,630,945,
1890,1890,630,630,1890,945,1890,1890,3780,3780,336,1680,560,3360,5040,1680,
1680,3360,560,1120,1680,2240,5040,1680,3360,2016,3024,960,1920,960,30,105,210,
315,420,630,630,2100,1680,1260,840,840,1260,2520,2520,1050,630,630,630,1260,
3780,1260,210,1470,420,1680,1260,840,840,1680,315,630,630,420,630,1260,2940,
630,1260,1680,5040,630,630,630,1260,3780,1260,840,840,840,3780,1260,1260,1260,
3780,1260,280,672,672,2016,2016,2016,2016,105,210,315,945,1890,315,630,945,
630,1890,945,945,1890,1890,1890,1890,1890,280,840,350,560,1120,1120,420,840,
280,1120,1680,560,1680,3360,3360,1680,5040,1680,840,1680,1680,1680,3360,1680,
1680,1680,3024,960,2880,336,35,70,140,630,1260,70,140,105,210,210,1470,1680,
1890,1260,1260,2520,630,840,1260,1260,2520,210,315,315,630,630,315,630,315,
630,315,630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,1260,
3780,1260,1260,2520,2520,2520,280,840,560,840,560,240,56,168,672,2016,2016,
2016,960,315,315,945,945,945,945,945,350,210,420,420,280,210,420,840,1120,
1680,1260,420,420,840,840,3360,1260,420,420,1680,840,840,840,1680,1680,1680,
1680,840,336,336,336,70,210,105,105,210,210,630,420,1260,210,630,210,210,315,
210,420,315,315,630,315,315,315,630,630,630,630,630,630,630,630,630,630,280,
280,280,280,280,560,840,280,840,560,336,672,504,504,2016,960,945,35,140,140,
70,70,210,210,420,210,210,210,420,210,420,840,840,840,420,420,420,420,420,
1260,840,240,120,240,240,240,240,112,112,168,336,672,105,105,210,315,315,315,
315,315,315,630,315,315,630,280,280,280,280,280,280,280,280,560,504,504,35,70,
210,70,140,70,105,210,420,210,210,420,210,210,210,210,210,360,28,112,168,336,
168,336,336,168,336,315,315,35,280,280,120,240,240,56,35,105,105,105,105,105,
210,210,112,84,168,336,35,70,70,120,28,56,112,105,105,30,84,35,35,35,56,28,28,
28,8,35,30,28,24,8,8,1,3,1,1],[1,378,945,84,1680,1120,126,1260,1890,2835,5670,
3780,5670,756,1260,5040,1260,5040,10080,3780,15120,4320,270,1890,945,2835,
3780,5670,11340,11340,1890,2835,5670,5670,840,840,1680,1120,6720,756,2268,
2268,126,1260,2520,2520,7560,1260,1260,3780,3780,3780,3780,15120,3780,4320,
3024,315,2835,5670,5670,2835,5670,5670,5670,840,840,1680,5040,5040,5040,5040,
10080,6720,4536,4536,756,2268,2268,4320,1260,1260,7560,3780,7560,7560,7560,
3780,3780,1890,3780,7560,1260,1260,3780,7560,3780,3780,280,1120,2240,3024,945,
1890,2835,2835,5670,840,2520,1260,1260,2520,2520,5040,756,2268,2268,4320,630,
630,1890,3780,7560,1890,3780,840,1680,3360,6720,2160,126,504,756,3024,2835,
1260,1260,2520,840,1260,1260,1260,1260,2268,1120,630,1890,945,1890,1890,280,
840,840,756,1512,378,756,315,1260,1260,1120,1080,1080,2160,504,504,945,1890,
840,840,126,378,378,756,315,630,280,84,504,504,378,240,315,280,252,126,84,270,
126,240,84,36,36,9,1],[1,414,2205,84,1680,1120,126,1638,1890,6615,9450,9450,
11340,4158,5670,5670,756,1344,5040,5040,6720,15120,10080,10080,1260,5040,5040,
20160,10080,4320,270,3150,2205,2835,9450,17010,4158,5670,17010,17010,5670,
18900,11340,11340,11340,1890,2835,9450,5670,5670,17010,11340,840,840,1680,
1120,6720,756,6804,6804,126,1260,2520,2520,7560,1260,3780,5040,3780,15120,
3780,3780,5040,5040,7560,5040,30240,7560,7560,15120,20160,15120,30240,7560,
4320,8640,3024,315,1890,945,2835,9450,5670,2835,5670,5670,5670,17010,17010,
17010,2835,5670,5670,2835,5670,5670,5670,1890,5670,2835,5670,5670,11340,11340,
840,840,2520,1680,3360,5040,2520,5040,6720,1680,3360,1680,6720,5040,5040,
10080,10080,6720,2268,5292,4536,2268,756,6804,6804,2268,2268,2268,4320,1260,
1260,1260,1386,1890,7560,5040,3780,7560,7560,7560,7560,7560,3780,3780,3780,
3780,7560,7560,3150,2520,5040,3780,2520,7560,3780,5040,7560,2520,5040,3780,
7560,15120,3780,7560,7560,7560,7560,7560,7560,7560,280,1120,2240,4320,3024,
3024,3024,945,1890,2835,2835,5670,2835,5670,2835,1890,5670,2835,2835,5670,
5670,5670,5670,5670,840,2520,2520,1260,1260,3360,3360,1680,5040,10080,5040,
5040,5040,5040,5040,2520,5040,5040,5040,5040,5040,756,2268,2268,2268,2268,
6804,2268,6804,2268,2268,2268,4320,8640,630,1890,3780,630,1260,1260,3150,5040,
5670,3780,3780,7560,1890,7560,7560,7560,1890,3780,3780,3780,3780,3780,1890,
7560,7560,7560,7560,7560,280,840,1680,840,1680,1120,3360,3360,6720,2160,126,
504,756,3024,3024,3024,945,2835,2835,2835,2835,2835,2835,1260,1260,1260,1260,
1260,1260,3360,5040,2520,840,2520,1260,1260,2520,1260,1260,2520,2520,2520,
5040,2520,756,2268,2268,2268,2268,2268,2268,1120,4320,630,1890,945,630,1890,
3780,1890,1890,1890,1890,3780,1890,1890,280,840,840,840,1680,840,840,840,1680,
3360,378,882,2016,1134,1512,756,756,756,3024,2835,315,1260,1260,1260,1260,
1260,1260,2520,2520,1260,1260,1260,1260,2520,2520,2268,1120,1120,1120,1080,
1080,2160,504,504,945,1890,945,945,1890,280,840,840,840,840,840,840,840,126,
378,378,378,1134,1134,1512,378,756,756,756,315,630,630,1260,1260,280,1120,
1080,1080,84,504,504,504,504,504,504,945,840,840,126,378,378,378,378,378,378,
756,240,315,315,315,280,280,280,336,126,252,504,504,378,84,315,280,270,126,
252,126,126,240,84,84,84,36,126,84,36,72,36,9,9,1,1],[1,630,4725,120,4200,
11200,210,3150,9450,14175,9450,28350,18900,9450,28350,9450,1512,18144,2520,
12600,12600,25200,37800,100800,12600,12600,75600,14400,1350,9450,4725,14175,
9450,28350,9450,9450,28350,28350,28350,56700,56700,56700,56700,9450,14175,
28350,28350,28350,28350,56700,2100,8400,16800,11200,67200,1512,22680,90720,
22680,210,3150,8400,8400,25200,37800,75600,4200,4200,12600,37800,12600,12600,
12600,12600,75600,37800,37800,75600,37800,37800,37800,37800,43200,15120,1575,
3150,945,14175,28350,28350,14175,28350,28350,28350,28350,28350,28350,14175,
28350,28350,14175,28350,28350,28350,9450,9450,14175,28350,28350,56700,56700,
2100,8400,6300,16800,6300,25200,25200,50400,50400,100800,67200,15120,45360,
90720,7560,22680,22680,14400,28800,14400,3150,3150,3150,25200,18900,9450,
37800,37800,25200,75600,75600,12600,12600,37800,37800,9450,18900,9450,37800,
12600,12600,12600,37800,37800,37800,37800,37800,37800,37800,37800,4536,2800,
11200,22400,15120,15120,15120,4725,9450,14175,14175,28350,14175,28350,14175,
9450,9450,14175,14175,28350,28350,28350,28350,28350,2100,6300,25200,4200,4200,
8400,8400,12600,2100,12600,12600,12600,12600,50400,6300,6300,12600,12600,
12600,12600,7560,22680,22680,14400,43200,3150,3150,3150,9450,3150,6300,9450,
18900,9450,9450,9450,18900,9450,9450,37800,9450,9450,9450,9450,37800,37800,
37800,4536,9072,8400,16800,33600,67200,10800,252,1260,15120,30240,7560,15120,
15120,15120,14400,4725,14175,14175,14175,14175,14175,14175,4200,4200,12600,
2100,12600,12600,8400,12600,12600,12600,25200,25200,12600,12600,12600,6300,
6300,6300,6300,6300,6300,12600,12600,12600,12600,5670,22680,11200,3150,9450,
18900,4725,3150,3150,3150,9450,9450,9450,9450,9450,9450,9450,9450,9450,9450,
9450,9450,4536,4536,4536,2800,8400,2100,8400,2520,7560,15120,3780,3780,7560,
15120,14400,14175,1575,3150,2100,6300,6300,6300,6300,6300,12600,12600,12600,
6300,5670,11200,3600,5400,10800,2520,5040,4725,9450,4725,4725,9450,9450,4536,
4536,4536,2100,8400,8400,4200,4200,1260,1260,3780,3780,3780,3780,7560,1575,
3150,3150,3150,3150,3150,6300,1512,5670,2800,5400,210,2520,2520,5040,2520,
2520,4725,4536,2100,2100,2100,3780,3780,2400,3600,1575,1575,3150,1575,1512,
2800,1260,1260,1260,630,2520,2520,2100,945,840,1575,1512,1350,210,630,630,
1260,1260,2400,945,840,120,630,126,210,360,126,120,210,126,120,45,45,10,1],[1,
990,17325,165,9240,61600,330,6930,34650,51975,103950,103950,207900,20790,
103950,103950,2772,199584,4620,27720,69300,92400,415800,554400,554400,17325,
34650,138600,277200,554400,39600,4950,34650,17325,51975,103950,311850,20790,
103950,311850,311850,103950,207900,207900,623700,623700,34650,51975,103950,
103950,311850,311850,623700,4620,46200,92400,61600,369600,2772,124740,997920,
124740,362880,330,6930,23100,92400,138600,138600,277200,831600,11550,34650,
46200,51975,69300,103950,415800,34650,103950,138600,34650,69300,103950,138600,
831600,207900,207900,207900,277200,415800,415800,1663200,103950,207900,415800,
118800,237600,55440,55440,5775,34650,10395,51975,103950,103950,155925,311850,
311850,311850,311850,311850,311850,51975,103950,103950,155925,311850,311850,
103950,103950,103950,155925,311850,311850,623700,623700,4620,46200,69300,
92400,184800,277200,69300,277200,92400,92400,184800,92400,92400,277200,277200,
554400,554400,369600,41580,41580,249480,997920,41580,41580,124740,124740,
124740,124740,124740,39600,316800,158400,4950,17325,34650,51975,6930,6930,
34650,69300,69300,103950,138600,138600,207900,277200,831600,415800,415800,
34650,103950,103950,103950,207900,138600,415800,207900,207900,34650,34650,
69300,69300,103950,138600,138600,277200,51975,103950,103950,69300,103950,
69300,69300,103950,207900,138600,415800,103950,103950,103950,207900,207900,
207900,415800,138600,138600,138600,207900,207900,207900,415800,207900,207900,
415800,207900,49896,15400,61600,123200,39600,118800,118800,55440,55440,166320,
166320,166320,166320,17325,34650,51975,155925,311850,51975,103950,155925,
103950,103950,155925,155925,311850,311850,311850,311850,311850,4620,69300,
138600,11550,46200,92400,92400,69300,138600,23100,46200,46200,92400,277200,
554400,138600,138600,277200,277200,277200,69300,69300,277200,138600,138600,
138600,138600,277200,277200,41580,41580,124740,124740,124740,124740,124740,
124740,124740,124740,124740,118800,158400,237600,27720,5775,11550,23100,34650,
34650,103950,11550,23100,69300,17325,34650,34650,34650,69300,103950,103950,
103950,207900,103950,103950,138600,207900,207900,415800,34650,103950,51975,
51975,103950,103950,51975,103950,51975,103950,51975,103950,103950,103950,
103950,103950,103950,103950,103950,103950,103950,103950,103950,103950,103950,
207900,207900,207900,207900,415800,207900,207900,415800,415800,415800,49896,
99792,15400,46200,92400,46200,92400,61600,184800,184800,369600,362880,39600,
118800,462,2772,166320,166320,166320,332640,41580,41580,55440,55440,166320,
166320,166320,166320,158400,51975,51975,155925,155925,155925,155925,155925,
11550,34650,46200,69300,69300,23100,34650,69300,138600,46200,138600,138600,
46200,69300,69300,69300,138600,277200,138600,138600,277200,69300,69300,69300,
138600,69300,69300,69300,69300,69300,69300,277200,138600,138600,138600,138600,
138600,138600,41580,41580,62370,124740,124740,124740,124740,124740,61600,
39600,39600,79200,118800,118800,27720,27720,27720,11550,34650,207900,17325,
17325,34650,34650,34650,34650,69300,103950,34650,103950,103950,103950,34650,
34650,51975,34650,69300,51975,51975,103950,51975,51975,51975,103950,103950,
103950,103950,103950,103950,103950,103950,103950,103950,103950,103950,103950,
49896,49896,49896,15400,46200,23100,46200,46200,92400,46200,46200,46200,92400,
184800,6930,6930,27720,166320,166320,166320,20790,41580,41580,41580,41580,
41580,41580,41580,166320,166320,158400,155925,5775,23100,23100,34650,11550,
11550,23100,34650,34650,69300,34650,34650,34650,69300,34650,69300,138600,
69300,69300,69300,69300,69300,69300,69300,69300,69300,69300,69300,138600,
69300,138600,138600,62370,124740,61600,61600,61600,9900,19800,39600,39600,
39600,39600,39600,118800,9240,9240,27720,27720,27720,27720,55440,55440,17325,
17325,34650,51975,51975,51975,51975,51975,51975,103950,51975,51975,103950,
103950,49896,49896,49896,15400,46200,23100,46200,46200,46200,46200,46200,
46200,46200,46200,6930,6930,13860,20790,41580,20790,20790,20790,41580,20790,
41580,41580,41580,41580,41580,41580,39600,5775,34650,11550,34650,11550,23100,
11550,17325,34650,34650,34650,69300,34650,34650,69300,34650,34650,34650,34650,
34650,69300,16632,16632,62370,15400,61600,29700,59400,462,27720,9240,9240,
27720,27720,27720,27720,27720,27720,27720,27720,27720,27720,51975,51975,49896,
5775,23100,23100,23100,46200,46200,6930,6930,20790,20790,20790,41580,20790,
20790,41580,41580,13200,19800,39600,39600,39600,4620,5775,17325,17325,17325,
34650,17325,17325,34650,34650,16632,16632,15400,15400,15400,30240,30240,9900,
4620,6930,6930,13860,6930,27720,27720,27720,27720,27720,5775,11550,11550,
23100,10395,20790,19800,4620,4620,9240,9240,17325,17325,16632,16632,15400,
4950,2310,6930,6930,6930,6930,6930,6930,13860,6930,6930,13200,5775,5775,5775,
2772,10395,9900,4620,4620,4620,4620,4620,4620,330,6930,6930,6930,5775,1386,
2772,2772,4950,2310,4620,4620,990,1980,1386,2772,2772,1320,2520,2520,2310,330,
990,990,1386,1320,165,990,462,330,495,462,165,330,165,55,55,11,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,11,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
14,14,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,
20,20,20,20,20,20,20,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,27,27,27,
28,28,28,30,30,30,30,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,40,40,40,40,40,40,40,40,40,40,40,42,42,42,45,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,50,
50,54,54,54,54,54,54,54,54,54,55,56,56,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,63,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,80,80,
80,80,80,81,84,84,84,84,84,90,90,90,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
100,100,100,108,108,108,108,108,108,108,108,108,108,108,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,126,128,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,160,160,162,162,162,168,168,168,168,168,168,168,
168,180,180,180,180,180,180,180,180,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,200,200,200,216,216,216,216,216,216,216,216,216,216,216,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,252,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,300,
300,320,324,324,336,336,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,384,384,400,432,432,432,432,432,432,480,480,480,480,480,480,480,480,480,
480,504,504,504,504,504,540,576,576,576,576,576,576,576,576,576,600,600,648,
648,648,660,660,672,720,720,720,720,720,720,720,720,720,720,864,864,864,864,
960,960,1008,1080,1080,1080,1080,1152,1152,1200,1200,1296,1344,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1512,1728,1728,1728,1800,1920,2016,2160,
2160,2160,2160,2160,2160,2520,2880,2880,2880,3456,3600,3600,3600,4032,4320,
4320,4320,5040,5040,7200,7200,7200,7560,7920,7920,8640,10080,10080,10080,
14400,15120,20160,20160,21600,30240,40320,43200,60480,60480,120960,181440,
362880,1814400,19958400],
[788,777,722,784,745,641,783,751,691,658,584,576,449,715,574,584,766,486,761,
705,630,589,350,267,272,722,690,538,423,275,681,758,690,722,658,584,387,715,
584,387,387,574,476,450,244,250,685,658,576,575,387,387,250,760,666,589,641,
366,766,551,149,551,367,783,751,711,598,527,534,400,174,740,691,662,658,630,
576,350,690,576,538,690,630,576,538,204,476,473,476,423,350,350,93,574,476,
350,562,443,657,656,754,687,742,658,576,575,517,387,387,387,387,387,387,658,
576,575,517,387,387,574,583,584,517,387,390,250,250,760,666,636,589,499,423,
636,423,588,589,498,589,589,423,423,267,272,366,676,675,437,149,676,675,551,
551,551,551,551,681,384,516,758,722,690,658,751,752,687,627,630,584,534,534,
456,409,174,320,320,690,576,576,576,476,538,350,476,462,685,690,622,630,584,
527,534,400,658,576,575,630,576,629,630,576,476,546,350,576,576,574,476,476,
450,350,549,549,549,476,476,482,350,476,476,350,482,660,725,641,554,681,562,
562,657,656,514,515,514,515,722,691,658,517,387,658,575,517,583,584,517,517,
387,387,390,390,387,760,636,548,740,662,598,597,630,534,713,665,665,589,423,
267,535,536,423,423,403,636,636,423,538,539,539,538,423,423,675,676,551,551,
551,551,551,551,551,551,551,562,516,443,709,754,740,711,687,687,584,739,712,
617,722,690,690,690,630,583,584,584,457,583,584,534,456,456,320,690,584,658,
658,576,575,658,576,658,576,658,576,575,576,576,576,576,576,576,576,576,584,
583,574,574,476,476,476,476,350,482,482,353,354,355,660,587,725,665,589,665,
589,641,499,499,366,367,680,562,781,765,505,503,504,375,675,676,657,656,515,
514,514,515,516,659,658,517,517,517,517,517,740,690,662,630,630,713,690,630,
534,665,537,548,666,629,630,630,546,409,534,534,412,629,630,630,546,636,636,
636,636,636,636,423,539,538,538,539,549,548,675,676,639,551,551,551,551,551,
641,681,681,615,562,562,709,709,709,739,691,449,722,722,685,687,686,687,627,
584,690,583,584,584,690,691,658,691,634,658,658,575,658,658,658,576,584,583,
576,583,584,584,583,576,574,576,576,574,660,660,660,725,665,713,665,665,589,
665,665,665,589,499,751,752,706,503,504,505,715,672,675,676,675,676,675,676,
514,515,516,517,754,711,712,687,739,740,713,690,690,630,690,690,690,630,690,
630,534,636,636,636,636,636,629,630,630,630,630,629,546,636,548,549,639,551,
641,641,641,743,716,680,680,680,680,681,562,744,745,706,709,709,709,657,656,
722,722,691,658,658,658,658,659,659,580,658,658,583,584,660,660,660,725,665,
713,665,666,665,665,665,665,663,662,752,751,734,715,672,715,715,715,672,715,
676,675,675,676,675,676,681,754,687,739,691,739,712,740,722,687,687,686,627,
690,690,630,690,690,690,691,690,636,723,724,639,725,641,699,643,781,708,745,
744,706,705,706,707,709,707,705,706,709,709,658,659,660,754,713,713,713,665,
666,752,751,715,715,715,672,715,715,675,676,737,716,679,680,681,760,754,722,
722,721,687,721,722,690,691,723,724,725,725,725,697,698,743,761,752,751,734,
753,705,706,707,708,709,754,740,739,713,742,715,716,761,760,745,744,721,722,
723,724,725,758,770,753,752,751,753,752,751,734,751,752,737,754,754,754,766,
742,743,760,760,761,761,761,760,783,751,752,753,754,774,765,766,758,770,760,
761,777,772,774,765,766,775,768,769,770,783,777,777,774,775,784,777,781,783,
780,781,784,783,784,786,786,787,788],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,5,4,5,5,6,6,1,1,1,1,1,1,1,1,1,1,1,1,2,
2,2,2,3,2,3,2,3,3,1,1,1,1,1,1,1,1,1,1,1,17,17,18,1,1,7,8,7,7,8,9,9,13,1,1,1,1,
1,1,1,4,4,5,4,4,4,5,5,4,4,4,5,5,5,6,1,1,1,1,31,1,1,1,1,1,3,2,3,3,2,2,2,2,2,2,
3,2,3,3,2,3,3,1,1,1,2,3,15,15,54,55,54,56,57,56,1,1,4,5,5,4,5,5,4,6,6,58,17,
17,17,18,1,1,17,17,17,1,17,31,31,1,1,1,1,1,65,64,64,66,65,65,69,69,66,67,71,
68,68,27,27,27,27,27,28,28,27,27,3,7,7,8,8,8,9,9,1,1,1,4,4,4,4,4,4,5,5,4,4,3,
2,2,3,2,47,47,47,27,27,26,28,4,4,5,4,1,1,6,6,1,31,31,17,17,99,100,4,5,3,9,10,
10,10,10,9,10,2,2,10,10,10,10,15,15,2,54,54,55,7,7,7,7,8,9,1,54,54,56,56,57,
54,54,56,56,55,54,54,56,5,4,4,5,4,5,17,17,62,62,17,17,17,17,62,17,2,31,159,31,
1,1,7,7,8,7,8,101,101,102,4,4,4,64,65,64,65,65,65,64,65,69,66,66,68,64,65,26,
3,2,3,26,27,4,27,3,2,3,4,27,27,27,27,27,26,27,8,7,26,3,27,27,27,27,28,94,94,
212,213,214,223,17,224,54,56,4,5,225,57,55,58,63,32,97,370,371,372,373,374,
375,7,8,99,100,17,17,99,100,31,34,35,10,34,35,48,48,256,256,257,260,260,54,7,
8,9,128,128,129,129,64,65,65,64,67,69,69,66,72,76,76,74,54,54,54,54,54,54,56,
134,134,28,27,47,55,17,17,103,62,62,62,62,17,57,31,7,227,31,31,54,17,296,303,
303,305,3,236,236,65,64,64,66,65,187,187,190,190,27,9,10,101,101,75,10,9,75,
75,75,75,36,33,27,187,190,65,64,27,94,75,75,94,223,223,223,224,224,7,54,54,56,
54,224,224,224,225,370,370,371,373,374,372,370,371,151,150,64,65,376,377,99,
100,159,104,101,101,101,102,101,7,54,256,256,260,72,64,72,76,64,65,69,130,130,
128,134,134,256,260,260,260,260,256,257,128,255,428,432,62,224,225,438,555,
556,32,368,368,368,440,97,370,370,371,54,296,296,99,100,161,451,303,194,35,75,
163,236,451,452,161,194,187,190,223,223,223,224,224,262,128,404,359,359,359,
224,256,257,370,370,371,370,371,370,370,370,371,370,377,376,151,150,376,377,
227,518,521,303,303,303,303,256,236,301,300,298,299,398,256,260,162,187,256,
101,398,274,370,371,432,489,438,555,556,644,645,564,563,565,564,565,563,296,
370,370,371,296,296,324,451,356,101,491,491,262,359,592,370,370,370,506,506,
507,506,506,376,377,677,556,555,368,440,370,518,451,623,518,521,518,450,398,
303,637,638,640,640,489,697,698,555,644,599,600,601,644,564,565,563,645,444,
518,523,303,590,714,506,678,644,682,564,563,616,623,637,638,640,726,644,644,
701,702,644,701,702,703,600,599,677,661,518,661,644,714,699,682,682,644,717,
717,682,750,702,701,704,710,755,756,741,726,727,718,717,750,750,755,756,741,
750,768,769,759,750,750,750,755,767,776,762,778,771,776,778,776,779,782,785,
785,787,788],
[(1,2,3),( 3, 4, 5, 6, 7, 8, 9,10,11)],
[[[[]]],[[[1,-1,2,1,1,-1,2,-1]]],[[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,
-1,1,1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,3,1,2,2],[4,5]]],[[[2,1,1,-1,2,-1,1,1],[
3,1,2,1,3,1,2,-2],[4,1,3,1,4,1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,
3,1,2,-2],[3,-1],[5,1,4,-2,3,-1,4,1,3,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,-1,4,-1,5,1,4,2,3,1]]],[[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,1,4,-1,5,1,4,1,3,1,4,1]],[[2,1,1,-1,
2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,1,4,1,5,1,4,-1,3,1,4,-1]]],[[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,2,3,1,4,1],[5,2,4,1,3,
1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2,3,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,-1,
1,1,2,-2,1,-1,2,2,1,1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,
3,1,4,3,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[
5,1,6,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,-1,4,
1],[5,1,6,-1,5,1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,1,6,1]]],[[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,2,4,-2,3,1]]],[[[1,1,2,1,1,-1,2,-2],[3,
2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1],[4,3]]],[[[1,-1],[3,1,2,1,1,-1,
2,1,3,1,2,2],[4,3]]],[[[2,1,1,-1,2,-1,1,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[4,1,3,1,4,1,3,-1,4,-1,3,1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,
3,1,2,-2],[4,-1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,
1,4,1,3,1,4,1,3,1,4,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[
5,1,4,-1,3,-1,4,-1,5,1,4,2,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
-4,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,-1,4,1,3,
1,4,1,5,1,4,1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,5,
1,3,-1],[5,1,6,-2,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,-2,6,2,5,1]]],[[[2,1,1,-1,2,-1,1,
1],[3,-1,2,2,3,-1,2,1,3,1,2,1],[4,-4]],[[2,1,1,-1,2,-1,1,1],[3,-1],[3,1,2,1],[
4,1,2,-1,4,-1,5,1,2,2,3,1,5,-1],[6,3]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,
-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,2,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,
3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[1,1,2,1,1,
-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,-4]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,
1],[4,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,-2]]],[[[
1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,2,3,1]]],[[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
4,1,5,1],[5,1,4,1],[5,1,7,1,6,-1,7,2,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,
3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,2,5,1],[7,1,8,-1,7,1,8,-1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,1,4,1,3,1,4,-1,5,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,3,1,4,-1,5,
2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,-2,5,-1,4,2,
3,-1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,1,4,-1,
5,1,4,1,3,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,4,1,
3,-1,4,1,3,1,5,-1,4,-1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[4,1,3,1,4,1,5,2],[6,2,4,1,3,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,2,3,1,4,1],[5,2,4,1,3,1]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,
1,6,-2,4,1,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-1,2,-1,
1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1,6,
-2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,2,
6,3,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,
4,1,5,2,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[
5,1,6,2,4,1,5,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,3,
1,4,-2,5,1,4,1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,
1,3,-1,4,-1,3,1,4,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
5,2,4,1,5,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,
2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[4,1,3,1],[6,1,5,1,4,2,5,2,4,1,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,1,5,1,6,1,
7,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,
2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,3,1,4,-1,
5,2,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,-1,3,1,4,-1,3,
1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,
1,6,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,2,3,-1]]],[[[2,
1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,1,5,1,
6,1,7,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,
4,1,6,-2,5,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[3,1,5,-2,6,1,5,1,6,1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[3,1,5,-1,6,-3,5,-1,3,1]]],[[[2,1,1,-1,2,-1,
1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,2,7,1,5,1,7,-1]],[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[4,1,5,-1,6,2,5,1,
6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,1,4,-2,3,
-1,4,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,-1,4,2,3,1,4,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,5,1,3,1,4,
-1,5,-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,
3,1,4,1,3,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,
4,1,5,2,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,
-2]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,3,1,2,-1],[3,1,2,1,3,1,2,-2],[5,1,4,1,5,
2,4,1,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,2,1,3,1,2,-1,4,
1],[5,2,4,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,
4,1,5,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,1,6,1]]],[[[1,1,2,1,1,-1,2,-2]]],[[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,-1]],[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,5,-2,4,2,3,1]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,5,1,3,-1,6,1,5,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[5,1,4,1,6,2,5,
1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,1,4,-2,5,2,4,1,5,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[5,1,6,-1,4,-1,6,
1,4,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[
3,1,4,-1,6,-1,5,-1,4,1,3,1,6,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,5,1,6,1,4,1,3,1,5,-1,6,-1]]],[[[1,1,2,1,1,
-1,2,-2,1,-1,2,1,1,-1,2,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,
-2,3,-1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,5,
-1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[
5,1,6,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,
1],[6,1,5,1,6,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,-2,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1,4,1,5,1,4,1,5,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[4,1,3,1,4,1],[3,-1,5,2]]],[[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,6],[
1,1,2,1],[6,1,2,1,6,1],[7,3],[8,1,5,1],[5,1,8,-1,9,-2,8,-1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,
3,1,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,
4,1],[3,-1,4,-2,5,-1,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,
-2,3,1,4,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,-2,5,
-1,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,-2,3,-1,
4,1,3,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,
3,-1,2,-1,5,-1],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,
-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,2],[6,1,5,2,6,1]]],[[[1,1,2,1,1,-1,2,
-2],[1,-1,2,1,1,-1,2,-1,3,1],[3,1,4,1],[4,1,5,1,4,1,5,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,-1],[3,1,4,1],[6,1,5,1,4,1,6,1,5,1,4,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1],[5,1,6,1,5,1,6,1]]],[[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,2,
5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
3,1,5,-1,6,2,3,1,5,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,-1,5,1,3,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-2,3,1,5,2]]],[[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,5,1,6,3,
3,1,7,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[5,1,3,1],[6,2,7,1,5,1,7,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-2,5,-1,6,2,5,1,7,-1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2],[8,
1,7,2,8,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,
4,1,5,2,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,
2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,
4,1,6,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,3,3,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
3,1,5,-1,3,1,5,-1,6,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[3,1,5,1],[6,2,3,1,5,-1,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,2,3,1,4,2,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,1,4,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,3]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[3,1,4,1],[3,1,4,-1],[4,1,6,-1,5,-1,6,1,4,-1,5,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,1,4,-2,5,-1,4,1,5,2]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,-1,5,1,4,1,6,1]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,5,1,4,2]]],[[[2,
1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[4,1,6,-1,
7,2,6,-2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,
2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,
5,2,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,
3,1,5,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,1,
5,-1,4,-1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-4,3,1]]],[[[
1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,
3,1,5,1,6,2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,
1],[4,1,5,1],[6,1,5,2,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[5,1,4,1],[6,2,7,3,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,
1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,2]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,4,2,5,2,4,1,5,1,6,1,4,1,3,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,2,3,1,4,1],[5,2,4,1,
3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[6,2,5,1,3,1,5,2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-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]]],[[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[4,1,3,1],[5,1,4,2,3,1,4,2,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[3,1,4,1],[4,1,5,1,3,-1],[5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[3,-1],[3,1,4,-2,5,-1,4,1,3,1,4,1,5,1]]],[[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]],[[2,1,1,-1,2,-1,
1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,1,3,-1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,
2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,2,7,1,5,1,7,1]],[[2,1,1,-1,2,
-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,2]]],[[[2,1,1,-1,2,-1,1,1],[
3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[4,1,5,1,6,-1,5,-1,6,1]],[[2,1,1,-1,2,
-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,2]]],[[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1,5,1,3,1,5,2,6,1]],[[
1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,
6,2,5,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1]]],[[[
2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,4,1,3,-1,4,1,5,1]]],[[[2,
1,1,-1,2,-1,1,1],[2,-1,3,1,2,-2,3,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[3,1,4,1,3,1,4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,
1],[4,1,5,1,3,-1],[5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[4,1,3,-1,4,1,3,1,4,1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,3,1,2,2]]],[[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[4,1,5,-1,6,-1,4,1,5,1,
4,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,1,4,
1,5,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,
1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-2,6,-1,5,2,6,1]],[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,3,1,4,-1,3,1,4,-1,5,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,5,1,4,1,6,-1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]]],[[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-2,6,-1,5,
2,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,1,3,1,4,1,5,-1,4,
-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[5,1,6,1,
5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,-1,4,2,3,1,4,1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,-1,4,1],[5,1,6,-1,5,1,6,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,5,1,3,1,4,
-1,5,-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,
4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,3,1,
4,1,3,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,
4,1,3,1],[6,2,4,1,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,
2,3,1,4,1],[5,2,4,1,3,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,
1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[6,2],[8,1,7,-2,8,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,5,1,6,
3,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[6,
2,5,-1,4,1,5,-2,6,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[
4,1,3,1],[4,1,5,1,6,1,5,1,4,1,6,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[
3,1,2,-2],[5,2,4,1,5,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,
1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[
3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,
1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2,4,1]],[[2,1,
1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,1,4,1,5,1,
6,1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,
5,1],[5,1,6,2,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1,5,1,3,1,5,-1,3,1,5,-1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,
-1],[4,-1,1,1,2,-1,1,1,2,1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[3,1,4,-2,3,1,4,-1,5,2,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[4,1,3,1,4,-1,3,1,4,-1,3,1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,3,1],[5,1,4,1,5,1,6,-2,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,2,4,1]],[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,3,1,4,-1,3,1,4,-1,5,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,-1]]],[[[2,1,1,-1,2,-1,
1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,3,-1,4,1,3,-1,4,1,5,1,4,1,3,1,4,-1]],[[
2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[4,1,6,1],[5,1,7,-1,6,
-1,7,1,5,1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,
1],[5,2,4,1,5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,
-2],[4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,
1,5,1,6,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,5,1,4,1,5,-1,3,
1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,
5,1,4,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[5,1,4,1,
5,3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,-2]]],[[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,5,
-1,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
3,1,5,-1,6,2,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[4,1,3,1],[6,1,4,-1,5,-2,3,1,4,-1,6,-1,5,-1,4,-1,5,-1]],[[1,1,2,1,1,-1,2,
-2],[3,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,2,3,1,4,1],[5,
2,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[
6,1,4,1,5,1,4,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[5,1,4,1],[5,1,6,2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,
1,2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[4,1,3,1],[3,1,4,-2,6,-1,5,2,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,2,5,1,3,1,4,-1,5,-1,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,
1],[3,1,2,-2],[5,2,4,1,5,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,1,
1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,5,2,4,-1,3,1,4,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,5,2,4,
1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,
1],[6,1,7,-2,6,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
5,1,4,1],[5,2,6,-2,5,-1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,
2,-2],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,-1,6,1,7,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,
2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[3,1,4,-2,3,1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,
4,-1,3,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,-2,3,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,1,4,-1,5,1,4,1,3,
1,4,1,3,-1,4,1,3,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,
1,3,1],[3,-1,4,1,5,1,6,2,4,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,1,4,1],[4,1,3,1],[6,1,4,1,5,1,3,1,5,2,4,1,6,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,5,-2,4,-1,3,1,4,-1,5,2,6,1]],[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,3],[3,1,4,-1,5,1,4,1,3,1,5,-1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,6,-1,5,-1,
6,1,5,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,
1],[4,1,6,1,5,2,3,-1,6,1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,1,4,1],[4,2,3,1,5,-1,3,1,4,-2,3,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1],[7,1,5,-1,4,-2,6,-1,7,1,6,-1,5,-1,4,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,
5,1,6,1,4,1,3,1,5,-1,6,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[4,1,3,1],[5,2,4,1,6,1,4,1,3,1,5,1,4,1,5,1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,2,6,1,4,1,3,1,4,2,5,1,6,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,
6,-1,5,-1,4,1,3,1,6,1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,6,2,5,1,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,6,-3,5,-1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,5,-2,4,2,3,1]],[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1],[3,1,4,1],[5,1,4,2,6,2,5,-1,6,-1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,1,4,1],[5,1,4,2,3,1,4,-1,3,1,4,-1,5,-1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2],[7,1,
8,1,7,1,8,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,
1,5,1],[5,1,3,1],[7,1,6,-1,5,1,7,1,6,-1,7,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[4,1,3,1],[4,2,5,1,4,1,3,1,5,2,4,-2,3,1]],[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,2,4,-1,5,-1,6,1,4,2,5,1]]],[[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,-2,3,1,4,2,5,-1]],[[1,1,2,
1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,
-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,-1],[5,1,4,1,5,1,4,1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,
2,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,
1,4,2,5,1,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,3,3,-1,4,1,3,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,4,1,
6,-2,5,1,4,2,3,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-2,5,-2,4,-1,3,1,4,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,5,1,4,1,5,2]]],[[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[5,1,4,-2,6,3,5,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]]],[[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1,5,1,4,3,6,-1,5,1,6,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-1],[3,1,4,1,5,
2],[6,1,7,-1,6,1,7,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[
3,-1,4,-2,5,-1,4,1,3,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
1,4,1,3,-1,4,-2,3,-1,4,1,3,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[5,1,4,1,3,-1,4,2,3,1,4,-1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,1,5,1,4,1,5,-1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1],[6,1,5,-1,4,1,6,1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,3,3,1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,
1,1,-1,2,-1,3,1],[3,1,4,1],[4,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[4,1,3,1,4,1],[3,-1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,
-1,4,1],[5,2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[5,1,3,1],[6,1,7,-1,5,-1,7,-1,3,1,5,-1,6,1,7,1]],[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,5,-1,6,-2,5,1,
6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,4,
1,6,1,4,1,6,-1,5,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1,5,-1,4,-2,3,1,5,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[1,1,2,1,1,
-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,-1,3,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,-1],[3,1,4,1],[5,1,4,2,6,2,5,-1,6,-1,4,-1]],[[2,1,1,-1,2,-1,
1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,-2],[6,1,5,1,6,1,5,1]]],[[[1,1,2,
1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,2,4,2,5,2]],[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,6,-2,
5,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[4,1,6,-1],[9,
1,7,-1,8,-1,6,-1,8,-1,9,1,8,-1,7,1,6,1,9,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[8,1,7,1,8,-1,
6,-1,4,1,6,-1,8,-1,7,-1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[4,1,6,-1],[6,1,8,1],[10,1,
7,1,8,-1,9,2,10,-1,7,-1,8,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[4,1,3,1],[6,1,4,2,5,1,3,1,4,-1,6,-1,5,-1,4,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,5,-2,4,1,5,2]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-2,5,-1,6,1,4,1,6,-1,5,1,6,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1,4,-1,
3,1,4,-2,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,
1],[3,1,4,-1],[7,1,6,-1,7,1,5,2,6,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,1],[7,1,8,1,6,2,8,-1,7,-1]],[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,
-1],[6,1,7,-1,6,1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[3,1,5,1],[5,1,3,1],[6,2,5,1],[8,1,7,-2,8,-1]]],[[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-1,7,1,5,-1,3,1,
5,-2,6,1,7,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[
4,2],[6,1,5,1,6,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,
4,1,3,1,4,1,3,1,4,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,
1,4,-1,3,1,4,-1,5,1,4,2,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[3,1,4,-2,5,-1,4,2,3,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,3,1,4,-3,5,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,-1],[5,1,4,-1,3,-1,4,-1,5,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,1,4,1],[4,2,3,1],[6,1,5,-1,6,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,
1,-1,2,-2],[4,2,3,1,4,-1,3,1,4,-2,3,1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-3]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,
3,1,2,1],[3,1,2,-2],[4,1,5,-1,4,1,5,-2,4,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,-1],[5,1,4,-2,3,-1,4,1,3,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[
3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[3,1,4,2,3,-1,4,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[5,1,3,1,5,-1,3,1,5,-1,3,1,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,3,6,-1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1,5,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,
3,1,5,-1,6,1,5,2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[5,2,3,1],[6,1,5,-1,3,1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,3,1],[4,1,5,2,6,1,4,1,3,1,6,1,4,2,5,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,5,2,4,2,5,1,3,1,4,-1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,-2,3,1,4,1]]],[[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,1,3,1,5,1,3,
1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,
5,-1,3,1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[5,1,3,1],[6,2],[8,1,7,2,8,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,6,1]]],[[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,-1,5,1,4,1,6,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,2,5,2]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,7,2,5,1,
6,2,7,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
6,2,3,1,5,-1,3,1,5,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[5,1,3,1],[5,1,6,3,7,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,2,6,1,5,1,6,1,5,1,3,1]]],[[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,6,2,5,1,6,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,
2,5,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,
1,5,1],[5,1,3,1,6,-4,5,-1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,
-1,1,1,2,1,4,1],[5,1,4,1,5,3,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[5,1,6,1,7,-1,6,1,7,2]],[[1,-1],[3,1,
2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,1,4,1,5,3,4,1]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,6,
1,5,1,6,1,7,-1,6,-1,5,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,7,1,5,1,6,2,7,1]]],[[[1,-1],[3,1,2,1,1,1,2,
1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[7,1,6,
1,8,2,7,2,6,1,8,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,
1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,7,1],[8,1,7,1,8,1,6,1,4,1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,4,2,3,-1,4,-2,3,1,5,-1]],[[2,1,1,-1,
2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,
1,3,1,5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[3,1,5,-2,6,-1,5,1,6,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
1,4,1],[4,1,3,-1,4,-1],[6,1,5,1,6,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,1,4,1],[4,1,5,1,3,-1,4,-1,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
-2],[3,-1,2,-1,3,1,2,1,4,1],[4,-2,5,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,
1],[3,1,2,-2],[4,1,5,1,4,1,5,-2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,-3,3,1,4,3,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,3,3,
1,4,-2,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,4,1,3,1,
4,-1,5,-1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,
1],[6,1,5,1,6,1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,
1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[8,1,6,1,8,1,7,3,6,1,8,1]],[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,2,
7,3,4,1,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[5,1,6,1],[6,1,7,1,5,1,3,1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,-3,3,1,5,1,3,1,5,-2]]],[[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[4,2],[3,1,4,1,5,1,4,1,3,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,-2,3,1,4,2,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[4,1,6,-2,7,3,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,1,6,2]],[[1,1,2,-1,1,1,2,1]],[[1,
-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,
2,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,
-1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1,3,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,3,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,7,2,5,1,6,2,7,1]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,-2,3,1,5,
2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,1,6,
1],[7,1,6,2,7,1,3,1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[6,2,5,1,3,1,5,-1,6,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[
4,1,1,1,2,-2,1,-1,2,2,1,1],[5,2,4,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,
1,1,2,-2,1,-1,2,2,1,1,4,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[5,2,6,1,5,1,6,1,5,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,
1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,1,4,1,5,3,4,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,2,3,1,5,1,6,-2,5,-1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,-1,4,-1,3,1,4,-2,5,-1]]],[[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[4,1,5,1,6,-1,5,
-1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,2]],[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,2,6,3,4,1,5,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,
1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[4,1,5,-1,6,
-1,4,1,5,1,4,1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,
1,3,1],[5,2,4,1,6,1,5,-2,4,-1,6,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[3,1,4,-1,5,-2,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,-1,3,1,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[3,1,5,1],[5,1,3,1],[6,2],[8,1,7,2,8,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,
2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[7,1,6,1,7,1,5,1,3,1]]],[[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,-2,6,-1,7,-1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,1,
2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[3,1,4,1],[3,-1,4,-2,5,-1,4,2,3,-1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,
3,1,2,-2],[4,1,3,1,4,-1,3,-1,4,2,3,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[4,1,6,-2,7,-1,4,1,6,2,7,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1,6,-1,7,-2,6,-1,7,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,6,2,5,1]],[[1,1,2,1],[1,-1,3,
-1,2,-1,3,-1],[4,3,1,1,2,-2,1,-1,2,2,1,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1],[8,1,
7,1,9,1,8,1,7,1,9,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,
1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,2],[8,1,7,-1,9,-1,8,-1,9,-1,7,
-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1],[8,2,6,-1,7,-2,8,-1,6,-1,8,-1]],[[1,-1],[3,1,2,1,1,1,2,
1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,2],[
8,1,7,-1,9,-1,8,-1,9,-1,7,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,
1,2,-2],[5,2,4,1,5,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,
2,-2],[4,-2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,
1],[4,1,5,2,6,-2,4,-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,2,6,1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,3,1,5,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,
3,1],[5,2,6,1,7,1,6,1,5,1,7,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[5,1,3,1,6,1,5,1,6,3,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,
2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,3,5,2,3,1]]],[[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1,3,1,5,-1,3,1,
5,-2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[5,2,6,1,5,1,6,1,5,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[5,1,4,1,5,1,4,2,3,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,-2,3,1,4,2,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1],[4,
1,5,1,4,1,5,-1,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,
2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[6,2],[7,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[
1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,4,1,7,-1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[6,1,4,1,7,1,6,1,7,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,
-1],[3,1,2,2,3,-1,2,1],[6,2,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,
-1,4,-1],[3,1,2,2,3,-1,2,1],[6,1,5,-1,6,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,5,-1,6,-1,5,1,6,1,4,1,3,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,5,1,3,1,4,-1,6,-1]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,5,1]],[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[
3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[4,1,3,1,4,1,3,1,4,1,3,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-1,7,1,6,-1,5,-1]],[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,1,3,1,6,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,
4,1,6,-1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[
4,1,5,1,6,1,5,1,4,1,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[5,3,3,1,6,-2,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,-1,3,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[3,1,4,1],[4,2,3,1,5,-1,3,1,4,-2,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,1,4,1],[5,1,3,1,5,-1,4,-1,5,1,4,2,3,1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,-2,6,1,
5,1,7,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[5,1,3,1],[7,1,5,1,6,3,3,1,7,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,2,6,3,5,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,
1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,2,6,1]]],[[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,-1,6,-1,
5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,6,1],[7,1,6,1,7,1,5,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[4,1,3,1,4,-1,5,-1,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,-2,6,1,5,1,7,-2]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,2,
5,1],[7,1,8,-2,7,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[
4,1,3,1],[3,1,4,-2,5,-1,6,1,4,1,6,-1,5,1,6,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]],[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,4,1,3,1],[6,2,4,1,
3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,2,3,1,4,1],[5,2,4,
1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,-1,4,-1,
5,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,2,3,-1,4,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,
5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,2,4,
1,5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,-2]],[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,1,4,1,5,-1,4,1,5,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,
-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,-1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,2,4,1,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[3,1,4,2,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,
3,1,4,2,3,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,
1],[4,1,5,-2,6,-1,4,1,5,1,6,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,
-2],[4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[5,1,4,
1,5,3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,
4,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1,5,-1,
4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,1,4,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,
1,4,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,
5,2,4,1,5,2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,
1],[3,1,4,-2,6,-1,5,2,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[5,1,4,1,5,1,3,1,4,-1,5,-2]],[[1,1,2,1,1,-1,2,-2],[3,-1,1,-1,2,1,1,-1,2,-1,
3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1,5,-1,4,1,
5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[
5,1,6,2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,
1,5,2,4,1,5,2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,
1,4,-1,3,1,5,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,
-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,-1,6,1]],[[2,1,1,-1,
2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,1]],[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]]],[[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,1,4,1,5,-1,4,1,5,
-1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,
2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,
5,2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,
1,4,1],[6,1,7,-1,5,-1,6,1,4,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[
3,1,2,-2],[5,1,4,1],[5,2,6,-2,5,-1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,
2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[5,1,6,1,7,2,6,-1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,5,1,3,1,4,-1,5,-2]],[[1,1,2,1,1,-1,
2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1,
5,-1,4,1,5,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[
5,1,4,1],[5,1,6,2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,
1],[3,-1,4,-2,5,-1,4,1,3,-1,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,1,4,-1,3,-1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[4,1,5,1,3,1,4,-1,5,1,4,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,2,3,-1,
2,1,3,1,2,1],[4,-2]],[[2,1,1,-1,2,-1,1,1],[3,-1],[3,1,2,1],[4,1,2,-1,4,-1,5,1,
2,2,3,1,5,-1],[6,3]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,
1,2,2,3,-1,2,1],[5,3,6,-1,5,-1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,
-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,-1,6,1,5,1,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,2,5,1,6,2]],[[1,
1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[4,1,5,4,4,1]]],[[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[
7,1,6,-1,5,-1,6,1,5,1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,
-1,1,1,2,1,4,1],[4,2,5,2,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,-1,5,1,3,1]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1,5,1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,1,4,-2,5,2,3,-1,4,1,5,1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,5,1,3,-1],[6,1,5,1,6,1]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,3,
1,5,-1,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[6,1,5,1,3,1,5,-1,3,1,5,-2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,7,-1,6,1,7,-1,5,-1]]],[[[1,
-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,1,4,1,5,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1,
5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,
-1],[7,2,4,-1,5,1,4,1,6,-1,5,1,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,5,2,3,1,4,-1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,1,6,-1,5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-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],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,-1]]],[[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1],[5,1,4,
1,5,1,6,1,7,-1,5,1,6,2,7,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[4,1,3,1],[6,1,5,2,4,1,6,1,5,1,6,-1,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,5,2,4,2,3,1,6,1,4,-2]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,4,1,5,2,3,1,4,-1,6,-1,5,
-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[5,2,6,1,7,-2,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[5,1,6,2,5,1,3,1,5,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,1,6,2]],[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,3,3,1,5,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,
2,-1,5,-1],[4,1,6,1],[4,1,6,-1],[8,1,6,-1,7,-2,8,-1]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1,6,-2,4,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,1,3,1,5,-2,3,1,5,-2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,
2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,2,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,
1,2,-2],[3,1,4,1],[4,1,5,1,3,-1],[5,1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[4,3,3,-1,4,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[4,1,3,1],[6,2,4,-1,5,-1,3,1,4,-1,6,-2,5,-1]],[[1,-1,2,1,1,-1,2,-1],[
1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1,5,1,6,2,5,1,4,1,5,1]]],[[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,
6,2,7,-2,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,
5,1],[6,1,3,1,5,-1,3,1,5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,6,1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-1,5,-1,
6,2,7,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[6,2,5,1,3,1,5,2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,-2,3,1,5,2,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,1],[4,1,3,1],[6,1,4,1,5,2,3,1,4,-1,6,-1,5,-2]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,1,5,1,4,1,6,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,2,6,1,5,1,4,1,6,
-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,
1,3,1,5,1,3,1,5,1,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,
1,4,4]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,
1],[3,1,5,1,6,-1,5,-1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,
2,-2,1,-1],[3,1,5,-2,3,1,5,1,3,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,
1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1,4,2,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-2,3,1,5,2,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,2,5,2,3,1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]]],[[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,-2,3,1,4,-1]],[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,-2,3,1,4,2,5,-1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,1,5,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,
2,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,
4,-1,5,2,4,2,6,1,5,-1,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[4,1,3,1],[4,1,6,1],[6,1,5,-1,7,-1,6,-1,5,1,7,-1]],[[1,1,2,1,1,-1,2,-2],[3,
-4]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,
1,3,1],[6,2,7,2,5,1,7,1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[5,1,3,1,5,1,3,1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,7,-1,6,1,7,-1,5,-1]]],[[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,
1,5,2,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[
4,1,5,1],[6,1,5,1,6,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[4,1,3,1],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,5,1,4,2]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,
-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[4,1,5,1],[5,1,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,
1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,3,1,5,-1]]],[[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[4,1,6,1],[6,1,7,1,5,1,6,
-1,7,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,2,3,1,
4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-2],[5,1,3,1,4,-2,3,
1,5,-1]],[[1,1,2,1,1,-1,2,-2],[3,2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,3,1,4,-3,5,-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[
3,1,4,-4,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,
1],[6,1,4,1,5,2,3,1,4,-1,6,-1,5,-2]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,2,3,1,4,3]],[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-4,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,-1,2,
2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,1,6,1,7,-2,
6,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[4,-1,5,1,
4,2,5,1]]],[[[2,1,1,-1,2,-1,1,1],[2,1,3,1,2,1,3,1,2,-1,3,1,2,-1],[3,1,2,2,3,
-1,2,1,3,1],[4,1,5,1],[5,1,4,1,5,-1,6,-1,5,-1,6,-2]],[[2,1,1,-1,2,-1,1,1],[2,
1,3,1,2,1,3,1,2,-1,3,1,2,-1],[3,1,2,2,3,-1,2,1,3,1],[5,1,4,1],[4,1,5,-1,6,
-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,-1,4,1,3,1,4,
1,5,1,4,1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,
4,2,5,1,3,-1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[5,1,3,1],[6,1,7,-2,6,1,5,1,7,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,1]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,1],[7,
1,8,1,6,2,8,-1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[5,1,3,1],[3,1,5,2,6,-1],[6,1,7,-1,6,1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,2,5,1],[8,1,7,-2,8,-1]],[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,2,3,1,5,
1],[6,1,7,1,6,1,7,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[6,1,3,1,5,-2,6,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,
1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1,4,2,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2,7,-2,5,-1]],[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,
6,2]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,1],[6,
2,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,
2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,
5,2,3,1,5,-1,6,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,
1],[5,2,4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[3,
1,2,-1,3,1,2,1,3,1,5,1],[5,-1,6,-1,5,-2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,
2,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[5,1,4,2,
6,2,5,-1,6,-1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,
-1,4,-1],[5,1,6,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,
1],[4,1,5,1,3,-1],[5,1,6,-2,5,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[4,1,5,4,4,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-1,3,1,5,-1,6,1]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1,6,
1,3,1,5,-2,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,
1],[5,2,4,2,5,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[5,1,3,1],[6,1,7,-1,5,-1,6,1,5,1,7,-1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,
1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,2,6,1]],[[1,1,2,-1,1,1,2,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,
1,6,1,3,1,5,-1,3,1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[3,1,5,-1,3,1,5,-1,6,2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,
1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-2,5,-1,6,1,4,1,6,-1,5,1,6,1]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,2,4,1,3,1,4,-1,3,1,4,-2,5,
-1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1,3,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1],[7,1,6,-1,7,1,5,2,6,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,
5,2,6,-1],[6,1,7,-1,6,1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,-3]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,2,3,1,5,1],[7,1,6,1,7,1,6,-1]]],[[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-1,6,1,5,
1,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,
1],[6,1,3,1,5,1,6,-1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,
-2],[4,1,5,1],[5,1,6,2,5,1,4,1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,
1],[3,1,2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,
1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,
2,-2,1,-1],[4,2],[5,1,4,1,1,1,2,-1,1,1,2,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,
2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1],[7,1,6,-2,5,1,6,1,7,1]],[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1,4,1,5,-2]]],[[[2,1,1,-1,
2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1,4,1,5,-2]],[[2,1,1,-1,2,-1,
1,1],[3,1,2,-2],[4,-1,3,-1,2,-1,3,1,2,1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1,6,-1,5,-1,4,-1,5,1,4,2,6,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,4,1,3,1,4,-1,5,
-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
3,1,5,-2,6,1,5,1,6,1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,6,1,7,2]]],[[[2,1,1,-1,2,-1,1,1],[
3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1,4,1,5,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
1,3,1,2,-2],[3,-1],[5,1,4,-1,3,-1,4,-1,5,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1],[7,1,6,-1,7,1,6,1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,3,5,1,3,1]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,
-1,5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,
1],[6,1,5,-1,3,1,6,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,7,2,4,1,6,-3]],[[1,-1],[3,1,2,1,1,1,
2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[4,1,6,3,7,
2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,1,3,-1,4,-1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,2]]],[[[2,1,1,-1,2,-1,1,
1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[4,1,5,-1,6,2,5,1,4,1]],[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1,4,1,5,-2]]],[[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,-1,5,2,3,
1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,
1,5,-1,3,1,5,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,
1,3,1],[6,1,3,1,5,1,6,-1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,1,6,-1,5,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-1,6,-1,3,1,5,1,3,1,6,1]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[6,1,7,
1,3,1,5,-1,7,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,
3,1],[5,2,6,1,4,1,6,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
-3,3,1,4,3,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,
-1,4,-1,3,1,4,-2,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,
2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,2,1,
1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,
-1,7,-2,6,-1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,
-1,2,1,5,1,2,2],[4,1,6,1],[6,2,7,3,4,1,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,
2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,5,1,6,2,5,1,7,1,6,-1]],[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,3,3,1,
6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
5,1,3,1],[5,1,7,1,6,1,5,2,6,1,7,1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,
-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,3,4,1]],[[1,1,2,-1,1,1,2,1]],[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2],[6,1,3,1,5,2,3,1,6,1]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[7,
1,6,1,7,1,5,1,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,1],[5,1,6,1,3,1,5,-2,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[7,1,5,1,3,1,7,1,6,1]],[[1,1,2,-2,1,-1,2,
2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,-2]]],[[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,2,7,-1,6,
1,7,-1,5,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[4,
2,5,2,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[6,2,5,1,3,1,6,-1,5,2,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,2,5,1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[4,1,6,-2,7,-3,6,-1]],[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,2,
4,1,6,-1,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,
-1,2,1,5,1,2,2],[6,1,4,1,6,1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[4,2],[3,1,4,1,5,1,4,1,3,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,
1],[5,1,3,1,4,1,5,-1,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[4,1,3,1],[5,2,4,1,6,1,5,-2,4,-1,6,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[3,1,4,-1,5,-2,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,
-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-1,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,1,4,1,6,1,5,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,3,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,1,5,1,4,1,6,-1]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,5,1,7,1,
5,1,6,2,7,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,
1],[5,1,6,1],[7,1,6,2,7,1,3,1,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,-1],[6,1,7,-1,6,1,7,-1]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2,7,-2,
5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,
1,5,-1,6,-2,5,-2,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[3,1,5,1],[3,1,5,-2,6,2,5,2,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,1],[7,1,8,1,6,2,8,-1,7,-1]],[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2,3,
1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,
1],[6,2,5,1],[8,1,7,-2,8,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2,7,-2,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,-1,3,1,5,2]]],[[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2],[7,1,3,1,5,-1,7,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,
2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
-1,3,1,5,2,3,1,5,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[3,1,6,-3,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[4,1,3,1,4,-1,5,-1,4,2,5,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,
7,1],[8,1,7,1,8,1,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[6,2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[
1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,1,6,1,7,-1,4,1,6,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,
1,4,1],[7,1,6,1,7,1],[8,1,9,1,8,1,9,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,-2,6,-1,7,
-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,1,4,1],[6,2,4,1,6,1],[7,1,8,1,7,1,8,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,
1,-1,2,-1,3,-4]],[[1,-1,2,1,1,-1,2,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,5,2,4,2,3,1,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,-3,3,1,4,3,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-1,3,1,5,-1,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,
3,1,2,-2,1,-1],[4,1,1,1,2,-1,1,1,2,1,4,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-2,3,1,5,2,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,1,4,1],[4,1,5,1,3,-1,5,2,3,-1,4,-2]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[4,1,3,-1,4,-2,3,-1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,1,4,1],[5,2,4,1,3,1,4,-2,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,
1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[7,2,6,2,4,1,7,-1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[
6,1,4,1,6,2,4,1,6,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,
4,-1],[5,2],[6,1,5,2,6,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,1,6,2,4,1,6,2,7,-1]],[[1,-1],[3,1,2,1,
1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,2,6,-2,
4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,2,4,1,6,-1,4,1,6,-1,4,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1],[8,1,7,1,9,1,8,1,
7,1,9,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,
1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,1,6,2,7,1,8,1]],[[1,-1],[3,1,2,1,1,1,2,
1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,
1,4,1,7,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,
1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,2],[8,1,7,-1,9,-1,8,-1,9,-1,7,-1]],[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,
1,6,1,4,1,6,-1,7,-1,6,-2]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,1,6,2,7,1,8,1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,
1],[6,2,7,-1,6,-1,4,1,7,-1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[
3,1,2,-2],[4,1,5,1],[5,1,6,1],[7,1,5,1,4,1,6,-1,7,-1]],[[2,1,1,-1,2,-1,1,1],[
3,-1,2,-1,3,1,2,1,3,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,
4,-1],[5,2],[5,1,3,1,2,2,3,-1,2,1],[7,1,6,-2,7,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,
2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,-1,6,1,5,-1,6,1]],[[2,1,1,-1,
2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,1,6,-1,5,-2,6,
2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
3,1,5,-2,6,3,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,3,1,5,-1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,5,-2,4,-1,3,1,4,-1,5,2,6,1]],[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,2,3,1,4,-1,3,1,4,-1]],[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[3,1,4,-1,6,-1,5,-1,6,1,5,1,4,1,3,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,3],[3,1,4,-1,5,1,4,1,3,1,
5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,2,3,-1],[5,1,6,
1,5,-1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,-1,5,3,4,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,1,4,-1,3,1,5,-1,4,1,
5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,
1,3,1,5,-1,6,-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,
1,-1,2,-2],[3,1,4,-4,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,
2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,2],[8,1,7,-2,8,-1]],[[1,-1],[3,1,2,1,1,1,2,
-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,2,4,1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,4,1,3,1,5,-1,6,-1]],[[1,1,2,
1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,-4]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[3,1,4,1],[3,1,4,-1],[6,1,5,-1,4,-1,5,-1,6,2,4,-1,5,1]],[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,-1,4,-1,6,-1,4,-1,5,-2,6,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[4,1,5,2,6,
3]]],[[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[3,1,4,1],[5,1,4,1,5,1,4,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,3,1,4,-1,5,
1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,-1,4,1,3,1,4,
1,5,1,4,1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,-1,5,3,
4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,-1,4,1,3,1,
4,1,5,1,4,1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,
-1,3,1,4,-1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,6],[1,1,2,1],[6,1,
2,1,6,1],[7,3],[5,1,8,1],[8,1,9,1,5,1,8,-1,5,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,
-1,2,2,3,2],[4,6],[1,1,2,1],[6,1,2,1,6,1],[7,3],[5,1,8,1],[5,1,8,-1,9,1,8,1,5,
1,8,1,9,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[3,-1,4,-2,5,
3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,1,4,-1,5,1,
4,-1,3,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[5,1,3,1],[3,1,5,-1,6,1,7,2,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,1,6,-1,3,1,5,1,6,1,5,-2]],[[1,1,2,-2,1,-1,2,
2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,2,6,-1],[6,1,7,-1,6,1,
7,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,3,3,1,2,2,3,
-1,2,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,
1],[5,-1,6,1,5,-1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,-1,4,
-2,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1,3,1]],[[
2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,4,-2,3,-1,4,2]]],[[[2,1,1,-1,2,-1,
1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,4,1,5,-2,6,2]],[[2,2,1,-1,
2,1,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[5,1,3,1],[5,2,6,1,7,-2,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,
1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,3,1,5,-1,6,-2,5,-1]]],[[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-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]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,
1,5,1],[5,1,6,1],[5,1,3,1,7,-1,6,-1,7,-1]]],[[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,
6],[1,1,2,1],[6,1,2,1,6,1],[7,3],[5,1,8,-1,5,1,8,1,5,1]],[[1,1,2,1],[2,1,1,-1,
2,2,3,2],[4,6],[1,1,2,1],[6,1,2,1,6,1],[7,3],[5,1,8,1],[9,2,8,-2,5,1]],[[1,1,
2,1],[2,1,1,-1,2,2,3,2],[4,6],[1,1,2,1],[6,1,2,1,6,1],[7,3],[8,-2],[9,1,5,1,8,
-2,5,1,9,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,2,3,-1,4,-1,
3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1],[5,1,4,-1,3,-1,4,1,5,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[5,2,6,2,7,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,4,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[3,-1],[3,1,4,1],[5,1,4,-2,6,-1,5,1,4,1,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[3,1,4,1,3,-1,4,1,3,-1,4,1,3,-1,4,-1]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,3,6,-1]],[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1,5,-2,6,2,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[3,1,5,1],[6,2],[7,1,3,1,5,-1,7,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,
2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,-2,6,2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,1,6,-1,5,-1,3,1,5,1,6,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,1,3,1,5,-2,6,1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,
2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1],[7,1,5,1,3,1,7,1,6,1]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,6,
-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,
2,5,2,6,1,5,1,3,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,
1],[5,4,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[5,1,
4,1,5,3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,
2,4,1,5,2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,-2]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,1,4,1,3,1,4,-2,5,-1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,2,3,-1,4,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,1,1,-1,2,
-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1,5,-1,4,1,5,-1,4,1,5,1]],[[2,1,
1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,1]],[[
2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[2,1,1,-1,2,-1,1,
1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2,4,1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]],[[1,1,2,1,1,-1,2,-2],[3,
2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[5,1,4,1,5,3,4,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,1,4,-1]]],[[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,1]],[[2,
1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,-2]],[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,2,4,1,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1],[5,1,6,2,5,1,4,1]],[[2,1,1,-1,2,-1,1,
1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,4,1,6,-1,5,1,6,1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,4,-2,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[4,2,3,1,4,-1,3,-1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1,4,-1,3,1,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[5,1,3,1],[3,1,5,2,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1,3,1,5,1,3,1,5,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,2,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[6,1,7,3,4,1,6,
1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,3]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[
4,1,6,1],[7,1,4,1,6,-2,7,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,-2,3,1,5,-2,6,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,1,3,1,5,1,6,1]],[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[
5,2,6,1,7,-2,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,
4,1,3,1,4,-1,3,-1,4,-2,5,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[
4,1,3,-1,4,1],[5,1,6,-1,5,1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[3,1,4,1],[5,1,6,-1,4,-1,5,-1,6,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[3,1,5,-1,6,1,7,-1,5,-1,6,1,3,1,
7,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[3,1,5,-1,7,-1,6,-1,5,1,7,-1,6,-1,7,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1,3,1,5,-1,3,1,5,-2,6,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,-1,4,2,
3,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,4,2,3,
1,4,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[5,1,3,1],[6,1,7,-2,6,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,7,1,6,1,4,1,7,2,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[6,1,7,1],[4,1,6,1,8,-1,7,-1,
8,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,2,3,1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,-1,4,1,3,1,4,-1,3,-1]]],[[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,-1,4,-1,3,1,4,1,5,1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,2,3,1,4,-2]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1],[6,1,5,1,4,1,3,1,6,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,2],[3,-1,6,-1,5,
-1,6,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,1,4,2,3,-1,
4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,-1,3,-1,4,1,3,1,4,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1,3,1]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,3,1,4,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,2,3,1,4,2,5,-1]],[[1,1,2,1,1,-1,2,-2],[1,-1,
2,1,1,-1,2,-1,3,1],[3,1,4,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,5,1,3,1,5,-1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,1,5,1,3,1,5,-1,6,-1,5,1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[6,2],[7,2,3,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,
2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,2],[7,1,4,1,6,1,4,1,6,-1,7,
-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,-1,4,1,6,3]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,
2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,1,4,1,6,1,4,1,6,1,7,1]],[[1,-1],[3,1,2,1,1,
1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,2],[7,1,8,
1,7,1,8,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,
5,1,2,2],[4,1,6,1],[7,1,4,1,7,-1,6,1,4,1,6,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,3,1,5,-1,6,-1,5,-1]],[[1,
1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,1,4,1,5,2,4,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,1,3,1,5,-2,6,1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,3,1,6,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,-1,5,1,3,1]],[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,6,
2,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1,5,1,4,1,
3,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-2,3,-1,4,2,3,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,
5,1,3,1,5,-2,6,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,-2,3,1,5,1,3,1,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,
-1,4,-1],[3,1,2,2,3,-1,2,1],[5,2],[7,1,6,2,5,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[6,2,5,-3]]],[[[2,1,1,-1,2,-1,
1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[4,
1,6,-1,7,2,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,
2,-2,3,-1,2,-1,5,-1],[6,2,4,1,6,-2,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,2,3,1,5,-2,6,-1]],[[1,1,2,1],[1,-1,
3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1],[4,1,5,1],[6,2,5,1]]],[[[2,1,1,-1,
2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,2],[6,1,7,1,6,
1,5,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,
2,1],[5,1,6,-1,5,1,6,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,5,1,6,3,3,1,7,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-2,5,1,6,1,7,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,
1,6,1],[7,1,5,1,3,1,7,1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[
3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,1,4,1,6,2,4,1,6,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,
-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1,6,-2,4,1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,3,1,4,-1,5,2,4,1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,2,3,1,4,2,5,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,
5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[5,1,6,4,5,1,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-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],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,2,7,-2,5,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,
3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,1,4,2,5,1,4,1,5,1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-1,3,1,5,-1,3,1,5,1]],[[
1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1,5,
-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[7,2,6,-2,5,-1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[5,1,3,1],[3,1,5,1,6,-1,5,-1,6,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,
1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,2,7,1,6,1,4,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,7,1],[7,1,8,2,7,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,4,1,7,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1],[6,2,4,
-1,5,2,4,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,
1,4,1,6,-3,5,1,6,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[
4,1,3,1],[3,1,4,-1,5,2,4,2,6,1,5,-1,6,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[3,1,4,1],[4,1,3,1],[4,2,5,1,6,1,5,1,4,1,6,-2]],[[1,1,2,1,1,-1,2,-2],[3,
-4]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,
1,3,1],[6,1,7,-1,5,-1,6,1,5,1,7,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,3,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-1,6,-1,3,1,5,1,3,1,6,1]]],[[[2,
1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[5,-4,4,1]],[[2,1,1,-1,2,
-1,1,1,2,-2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,
1],[5,1,4,1,6,1,4,1,6,-1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,
3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1],[5,1,4,-1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[1,
1,2,1,1,-1,2,-2],[3,-4]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,5,-1,6,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,6,-2,5,-2]]],[[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,2,6,-1,5,1,4,1,6,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,5,1,4,1,5,-1,3,1,4,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,2,3,1,4,
3]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,2,3,1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,5,2]],[[2,1,1,-1,2,-1,1,1]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,2,7,
2,6,-1,7,-1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,-1,3,1,5,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[3,1,5,1],[3,1,5,-1,6,1,3,1,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1]]],[[[
1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,2,4,2,5,2]],[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,
-3]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,
1,5,-2,6,3]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[6,2],[5,1,3,1,7,-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[3,1,5,1],[6,2,5,2,3,1,5,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[4,2,5,1,4,1,5,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,-2,6,1,5,1,7,-2]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,
1,3,1],[6,2,5,1],[7,1,8,2,7,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,2],[8,1,7,-2,8,-1]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,6,-1,5,-1,3,1,5,
-1,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[5,1,6,1,3,1,5,-1,3,1,5,-2,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[
1,1,2,-1,1,1,2,1,4,1],[4,1,5,4,4,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[5,2,6,1,7,-2,6,-1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,1,4,1,5,1,4,1,3,-1,4,-1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,2,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[3,-1],[4,1,3,1,4,1],[6,1,5,1,6,1,5,1]]],[[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,1,4,1,5,1,4,1,3,-1,4,-1]],[[2,1,1,-1,
2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1],[6,1,5,1,6,1,5,1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[3,1,4,1],[6,1,5,1,4,1,6,1,5,1,4,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[6,1,7,3,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[5,1,3,1,5,2,3,1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[7,1,6,1,7,1],[8,1,9,1,8,1,
9,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[7,1,8,-4,7,-1]],[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,
4,1],[6,2,4,1,6,1],[7,1,8,1,7,1,8,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,
2,-1,3,1,2,1,4,1],[4,2,5,2,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,
2,-2],[4,-2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,2,4,1,5,
-1,4,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1],[8,1,7,1,9,1,8,1,7,1,9,-1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[6,1,4,1],[6,1,8,-1,7,1,8,1,7,1,6,1,7,1,8,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,
2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,
-2,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[3,-1,2,-1,3,1,2,1,4,1],[4,2,5,
2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,
3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,6,-2,5,-2]],[[1,-1],[3,1,2,1,1,1,2,
-1,3,1,2,-2,1,-1],[4,-1,1,1,2,-1,1,1,2,1,4,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,
2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,2,3,1,5,-2,6,-1]],[[
1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1],[5,2,4,-2]],[[1,1,
2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1,4,-1]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-2,3,1,5,2,6,
2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,
1,6,1,3,1,5,-1,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[5,1,3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,1,3,1],[4,1,5,1,6,1,5,1,4,1,6,-1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,-1,4,2,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,
2,-2],[3,-1],[5,1,4,2,3,1,4,-1,3,1,4,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,
3,1,2,-2],[4,2,3,1,4,2,3,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,5,-1,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,-1,6,1,5,1,3,1,5,-1]]],[[[2,1,1,-1,
2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,1,6,2,5,1,4,1,6,-1]],[[
2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-2,4,1,5,2]],[[2,1,1,
-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,1,5,-1,4,1,5,1]]],[[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,5,1,3,1,5,
-1,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,2,4,
1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
5,1,3,1],[6,1,7,2,5,1,6,2,7,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,1,6,1,5,2,6,1,7,1]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,
-1,6,2,7,-1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,
1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1],[8,1,7,1,9,1,8,1,7,1,9,-1]],[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,
4,1],[4,1,6,-3,4,1,6,1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,-2,6,-1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[
7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,1,4,1,6,2,7,1]],[[1,-1],[3,1,2,1,1,1,
2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[6,1,7,1],[4,1,
6,1,8,-1,7,-1,8,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,
1,4,-2,5,1,4,1,5,1]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[1,-1],[3,1,2,1,1,1,2,1,
1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,
8,-2,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,
5,1,2,2],[6,1,4,1,6,3,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,
1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,
5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,
5,-3,3,1,5,3,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,
1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1,7,2,6,1,8,-1]],[[1,-1],[3,1,2,
1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,2,4,1,
7,-1,6,1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,
1,5,1,2,2],[6,1,4,1,6,2,4,1,6,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[
1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1,7,2,6,1,8,
-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[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],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,
5,-2,6,-1,5,2,3,1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[5,1,3,1,5,1,3,1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,
6,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,
2,2],[6,1,4,1],[7,1,6,2,4,1,6,2,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,7,1,6,1,7,1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[7,1,4,1,7,-1,6,1,4,1,6,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[6,1,4,1,6,-1,7,-2,6,-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,2],[8,1,7,2,8,-1]],[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-2,5,1,7,1,6,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,
2,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,
-1,2,-1,5,-1],[6,1,4,1,6,2,4,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,
6,3,5,1,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[5,-1,6,1,5,1,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[5,2,4,3,3,1,5,-1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1,3,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,3,1,4,1,5,-2,4,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,4,3,3,1]]],[[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,1,3,
1,5,-1,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
-2,3,1,5,2,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,1],[6,2,3,1,5,-1,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,2,3,1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,6,2,5,1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,2,3,1,5,-1]]],[[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]],[[
1,1,2,1,1,-1,2,-2],[3,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[5,1,3,1],[6,2],[8,1,7,2,8,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,6,-1,5,-1,6,-1,5,-2]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[7,1,6,
1,7,1,5,1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,
-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,1],[8,1,7,1,9,1,8,1,7,1,9,-1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[6,1,4,1],[6,1,8,1,7,1,8,-1,7,-1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,
3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,1,6,2,
7,1,8,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
1],[5,1,3,1],[7,1,6,-2,5,1,7,1,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[4,1,5,1],[6,1,5,2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,3,1,5,-1,6,2]]],[[[1,-1],[3,1,2,
1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,
1],[8,1,6,2,7,1,8,1,7,1,6,1,7,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,2,6,-2,4,1]],[[1,-1],[3,1,2,1,1,1,
2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[8,1,
7,1,6,1,7,1,8,1,6,2,7,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,-2,6,-1,7,-1]],[[1,-1],[3,1,
2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,
1,7,1,6,1,7,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,
2,3,-1,2,1],[5,2],[7,-2,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,
-1],[3,1,2,2,3,-1,2,1],[6,1,5,-1,6,1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,
1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,-2,6,-2]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,6,-2,5,1,7,
1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,
1],[5,1,6,2,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1],[3,1,5,-2,6,-1,3,1,5,1,6,2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,
1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[2,1,1,-1,2,-1,1,1],[
3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-2,3,-1,4,1,3,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,5,1,4,1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-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]],[[
1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,
6,-2,5,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,
5,1],[5,1,3,1],[7,1,6,-1,5,-1,6,1,5,1,7,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,
2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,-2,6,1,3,1]],[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-2,6,1,3,1,5,-1,
6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,4,1,3,1,4,2,3,-1,4,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[5,1,4,1,3,-1,4,1,5,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,3,1,4,-1,3,
1,4,-2,5,1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,1,3,1,4,1,3,2,4,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,2,4,2,3,1,4,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]],[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[4,1,
6,-2,7,-1,6,1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,
-1,2,1,5,1,2,2],[4,1,6,1,4,1,6,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[4,1,6,-1,7,-2,6,-1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,
1,6,-1,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,
1,5,1],[6,2,5,1,3,1,5,1,6,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,3,3,1,5,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,-2,5,-2,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[3,1,4,-1,5,2,6,2,5,-2,4,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[6,1,4,2,5,1,6,2,4,-1,5,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,5,1,4,1,3,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,2,5,2]]],[[[2,
1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[6,2],[5,2,
7,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[
5,-1,6,1,5,-1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-3,3,1,
4,1,3,1,4,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,3,1,4,
-2,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[6,2,5,1,3,1,5,-2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[5,2,6,1,5,1,6,1,5,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[3,1,5,-1,6,-3,5,-1,3,1]],[[1,1,2,-1,
1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,1,3,1,5,-2]]],[[[
2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,1,6,2,
5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,2]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,-1,4,1,3,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,
1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[7,2,6,1,4,1,7,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,4]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,1,3,1,5,1,
3,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1],[5,2,4,
-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,3,1],[6,2,7,1,5,1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,
-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,1,6,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,
1,-1,2,-2],[4,1,3,1],[4,1,5,2,3,1,4,3]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,6,-1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,6,-3,5,
-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
5,1,6,1],[7,1,5,1,3,1,7,1,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[5,2,6,2,7,2]],[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,4,6,
-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,
1,6,1],[7,1,6,1,7,1,5,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,-2,3,1,5,2,3,1,5,-2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,
-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[6,1,7,3,6,
-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,
2],[7,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[2,1,3,1,2,1,3,1,2,-1,3,1,
2,-1],[3,1,2,2,3,-1,2,1,3,1],[4,1,5,1],[5,2,4,1,6,2,5,2]],[[2,1,1,-1,2,-1,1,
1],[2,1,3,1,2,1,3,1,2,-1,3,1,2,-1],[3,1,2,2,3,-1,2,1,3,1],[4,1,5,1],[4,1,5,-2,
6,1,4,1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[5,1,4,
1],[4,1,5,-1,6,-2,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,
-2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,2,3,1],[7,1,
6,-1,7,1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[6,1,5,1,6,2,5,1,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,7,2,5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,-1,6,1,5,1,3,1,5,-1]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,
1,3,1,5,-1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[3,1,5,-2,6,-1,5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[5,1,6,1,3,1,5,-1,3,1,5,-2,6,1]]],[[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-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]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,2,3,
1,5,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
3,1,5,-2,3,1,5,-1,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,3,1,5,-2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1],[7,1,6,-1,7,1,6,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,
5,1,6,2,5,1,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[5,1,3,1,5,-1,6,1,3,1,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[4,2,5,2,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[5,1,6,1],[7,1,8,-1,6,-2,8,-1,7,-1]],[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,6,2,
5,1,6,1,5,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,
1],[3,1,5,2,6,-1],[6,1,7,-1,6,1,7,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,3,3,1,6,-2,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,6,2]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1,6,1,3,1,6,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1],[5,1,6,
-1,4,-1,5,1,4,1,6,-1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,-4]],[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-1,4,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,
-1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1],[3,1,4,1],[5,1,4,1,5,1,4,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,-1,4,-1,3,1,4,
-2,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,
5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,
2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[6,2,4,1,6,2,7,2]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,
-1,6,1,3,1,6,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,
1],[5,1,4,1,5,2,4,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,
2,1,1],[5,2,4,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,-1,3,1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[3,1,5,-1,6,2,5,1,6,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,-2,3,1,4,2,5,-1]],[[1,1,2,1,1,-1,2,
-2],[1,-1,2,1,1,-1,2,-1,3,-4]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,
4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1,5,1,3,1,5,2,6,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2],[6,1,3,1,5,2,3,1,6,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[
7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,-2,6,-1,7,-1]],[[1,-1],[3,1,
2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,1,4,
1,6,1,4,1,6,1,7,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,
3,1,2,-2,3,-1,2,-1,5,-1],[6,1,4,1,6,1,4,1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,
-1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,2,3,1,5,-1,3,1,5,-1,3,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
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,-1,1,1],[3,-1,
2,1,3,1,2,-1],[3,1,2,1,3,1,2,-2],[4,1,5,1],[6,1,5,2,4,1,5,-2,6,-1]],[[2,1,1,
-1,2,-1,1,1],[3,-1,2,1,3,1,2,-1],[3,1,2,1,3,1,2,-2],[5,3,4,1,5,1,4,1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,-1,2,1,3,1,2,-1,4,-1]]],[[[2,1,1,-1,
2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,2],[6,1,5,2,6,1]],[[2,1,1,
-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,1,
4,1,6,-1,4,1,6,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,
1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1,6,-2,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,2,3,1,5,-1,6,-1]],[[1,1,2,1],[1,-1,
3,-1,2,-1,3,-1],[4,-1,1,1,2,-2,1,-1,2,2,1,1,4,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-1,6,-1,3,1,5,1,3,1,6,1]]],[[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[
5,2,6,1,7,-2,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,-1],[3,1,
2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,2],[7,2,4,1,6,
-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1,6,-2,7,-1,6,-1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,
3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2,4,1,6,2]]],[[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-2,3,1,5,-2,3,1,5,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,
1,6,1,5,1,3,1,5,2,6,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[5,1,3,1],[5,1,6,1,5,1,6,-1,3,1,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-2,6,1,3,1]]],[[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,2,3,1,5,1,6,-2,5,
-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,
-1,3,1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,
5,1],[6,1,5,1,6,1,3,1,5,-1,6,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,-2,3,1,5,1,3,1,5,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,
1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1,5,2,3,1,5,2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,5,-1,6,-1,5,1,6,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,2,3,1,4,
-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1],[6,1,5,1,
6,1,4,-1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[6,1,4,1],[6,1,4,1,6,1,7,-2,6,-2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,
2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,2,7,1,6,1,4,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[6,1,4,1,6,-1,7,1,4,1,7,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,
1,2,1],[3,1,2,-2],[4,1,5,1],[6,1,5,1,6,1,4,1,6,-1]],[[2,2,1,-1,2,1,1,1,2,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,-3,5,
-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-4,3,1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-1,5,-1,3,1,4,1,3,1,5,1]]],[[[1,
1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,2,3,1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[5,2,4,1,3,1,4,1,5,2]],[[1,1,2,1,1,-1,2,-2],[3,-2,1,-1,2,1,1,-1,
2,-1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,1,3,-1,4,1,
3,1,4,1,5,1,4,1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,
-1,5,3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,-2]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,4,1,5,1,3,-1,4,-2,5,
1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,3,-1,4,-1],[6,1,5,
1,6,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,2,3,-1]],[[2,
1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,1]]],[[[1,-1],[3,1,2,1,1,
1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,2,7,3,4,1,
6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[4,1,6,-2,7,-2,6,-1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,4,1,7,
-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,1,4,1],[6,1,7,2,6,-1,4,1,6,2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,1,6,1,4,1,6,-1,7,2]]],[[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[7,1,6,1,4,1,6,-1,7,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[6,3,4,1,6,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,
1,2,-2],[4,1,3,1,4,1,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,
4,2,3,-1,4,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,1],[6,1,5,1,6,1,3,1,5,-1,6,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[4,1,5,4]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,2,3,1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1],[6,1,7,-1,5,-1,7,-1,3,1,6,
-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,-1,3,-1,4,2]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1],[7,1,5,1,6,3,3,1,7,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,
3,1,5,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,1,4,-1,3,-1,4,
-1,5,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,4,1,3,1,4,
2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,2,3,1,5,-2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1,5,-2,3,1,5,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,
1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,5,-1,3,1,5,-1,6,2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,1]]],[[[
1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,
1],[7,1,5,1,3,1,7,1,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,3,1,6,-3,5,-2]]],[[[1,-1],[3,1,2,1,1,
1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,2,4,1,5,1]],[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,2],[7,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[6,2,3,1,5,-2,6,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[
1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2],[7,1,4,1,6,-1,7,1,4,1,6,1]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
-2,4,1,6,2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[6,1,4,1],[6,1,7,1],[4,1,6,1,8,-1,7,-1,8,-1]]],[[[2,1,1,-1,2,-1,
1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-1,4,1,5,1,4,1]],[[2,1,1,-1,2,-1,1,
1],[3,-1,2,-1,3,1,2,1,3,1,2,-2],[4,-2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,
3,-1,2,-1,3,1,2,1,4,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,
1,3,-1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,2,3,-1]]],[[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,
4,1],[7,1,6,2,4,1,6,2,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,2,6,-2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,
1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,7,1,6,1,7,
1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[7,1,6,1,7,2,6,1,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,2,4,1,6,1]],[[1,-1],[3,1,2,1,
1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,2,4,1,6,
-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,
1,3,1],[5,1,7,-1,6,2,7,-1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,-3,3,1,5,3,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,1,5,1,3,1,5,-1,6,1]],[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1,3,1,5,-1,3,1,5,-1]]],[[[
1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,
6,1],[6,1,4,1,7,1,6,1,7,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[6,2,4,1,6,-2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,
3,1,2,1],[3,1,2,-2],[5,-2,4,1,5,1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,
1,3,1,2,-2],[4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,
1],[5,2,4,-2]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1,3,1,2,-2]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,
-1,4,1,6,-2,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,
1,-1,2,1,5,1,2,2],[6,2],[4,1,6,1,7,2]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,7,1],[8,1,7,1,8,1,4,1,6,
-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,-2,4,1,6,2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[4,1,6,-1,7,-1,4,1,6,1,4,1,7,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[7,
2,6,-2,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,
5,1,2,2],[6,1,4,1,6,2,4,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,2,4,1,6,-1,4,1,6,-1,4,1]]],[[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,2,3,1,4,-2,5,-1]],[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,2,5,1,4,1,5,-1,3,1,4,1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,-1,2,
-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[3,1,2,-1,3,1,2,1,3,1,5,1],[6,2,
5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-1,2,-1,1,1],[
3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,-1,4,1,6,1,
4,1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,
-1,2,1],[6,1,5,3,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,
1,2,2,3,-1,2,1],[6,2,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,
-1],[5,3,2,-1,3,1,2,-2,3,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,
-1,4,-1],[3,1,2,2,3,-1,2,1],[5,-2,6,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,3,1,5,-1,6,1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2],[7,2,5,1,
3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,4,-2,3,1,4,2,
5,-1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,1,3,1],[4,1,5,1,4,1,5,
1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,-1,
2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[5,1,3,1,4,1,5,-1,4,-1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,-2,5,-2,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,
1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,1,3,1,5,-2,6,-1]],[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,-1,6,1,5,1,3,1,5,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,
6,-2,5,2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[6,2,5,1,3,1,5,-1,6,-2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,
1,2,-1,1,1,2,1,4,1],[4,2,5,2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[5,1,4,-1,3,1,4,-2,3,-1,4,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1,4,1,3,-1,4,-1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
3,1,4,-2,3,-1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,-1,
3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,-1]]],[[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,-1,4,-1,3,1,4,1,5,1]],[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,2,3,1,5,1,6,-2,5,-1]],[[1,1,
2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,2,5,1,
3,1,5,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,
5,1],[5,1,3,1],[5,2,6,1,7,-2,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[3,1,5,1],[6,3,5,1,3,1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,3,5,2,3,1]],[[1,1,2,-2,1,-1,2,2,
1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,1,3,1]],[[1,1,2,1],[1,-1,
3,-1,2,-1,3,-1],[4,-1,1,1,2,-2,1,-1,2,2,1,1,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,-2,5,-2]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,6,-1,5,1,3,1,5,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1],[
5,1,3,1,6,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[5,1,6,1],[7,1,5,1,3,1,7,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,
1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,1,4,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,
2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-3,3,1,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,
1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[4,1,3,1],[4,1,5,1,3,1,4,1,5,-1,4,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,
3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[7,2,6,1,4,1,7,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,2]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,-1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,
1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,
1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,6,2,5,1,6,1]],[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1,5,2,3,1,5,2]]],[[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[3,1,5,-1,6,3,5,
1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,
1],[6,2,5,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,
5,-2,4,-1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,
3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1,3,1],[2,1,3,1,2,1,3,1,2,-1,3,1,
2,-1,4,4]],[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1,3,1],[4,1,2,1,3,1,2,1,3,1,2,
-1,3,1,2,-1,4,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,
4,1],[5,2,4,1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,3,1,1,2,-2,1,-1,2,2,1,
1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,5,-1,4,-3,
5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,5,-2,4,2,3,
1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,2,5,1,3,1,5,2,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,
2,1,4,1],[4,1,5,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,
-1],[3,1,5,-1,3,1,5,-1,3,1,5,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[5,2,3,1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1]]],[[[1,1,2,-1,
1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,6,-2,
5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[
6,2,3,1,5,-2,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[6,2,5,1,3,1,5,-1,6,-1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,5,1,3,1]]],[[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,5,-2,6,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,2,3,1],[6,2,
5,-1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,
3,1,5,-1,3,1,5,-1,3,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,
2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,
-2,1,-1,2,2,1,1,4,1],[5,2,4,2,5,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,
4,-1,2,-1,4,-1],[5,2,3,1,5,1,3,1,5,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1],[5,1,4,2,3,1,4,-1,3,1,4,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,
1,2,-2],[4,2,3,1,4,2,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1],[5,
1,4,-2,3,-1,4,1,3,-1,4,1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[5,1,6,3,5,2,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,5,-1,6,1,3,1,6,-1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1,3,1,5,1,3,1,5,2]]],[[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[6,1,4,1,6,-1,7,-2,6,-1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,1,4,1,6,1,4,1]],[[1,-1],[3,1,
2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,2,4,1,6,
-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,
1,5,-2,3,1,5,-1,6,2,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,3,1,5,-2,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,
-1],[4,1,1,1,2,-2,1,-1,2,2,1,1,4,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,3,1,2,
-1],[3,1,2,1,3,1,2,-2],[5,1,4,1,5,2,4,1,5,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,
3,1,2,-1],[3,1,2,1,3,1,2,-2],[4,1,5,-1,4,1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,
1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1],[8,1,6,2,7,
2,8,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,
2,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,
4,-1],[5,1,3,1],[3,1,5,-3,3,1,5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,
-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,5,2,3,1,5,-1,6,-1]],[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,2,3,1]]],[[[1,-1],[3,1,2,1,
1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,2,7,
1,6,1,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,
5,1,2,2],[4,1,6,-1,4,1,6,3]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[
5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,7,1],[7,1,8,2,7,1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1,
6,-1,4,1,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1]]],[[[2,1,1,-1,2,-1,
1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,4,1],[7,
1,6,-1,4,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,
2,-2,3,-1,2,-1,5,-1],[6,1,4,1],[7,1,6,-1,4,1,7,1]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,1,6,1],[7,1,5,1,3,1,7,1,6,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,
3,1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,
1],[3,1,5,-2,6,-1,3,1,5,2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-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],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1],[3,1,6,-2,5,2,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-3,3,1,5,1,6,2]],[[1,1,2,-2,1,-1,2,
2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1,3,1,5,1,3,1,5,-2]]],[[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,2,3,1,5,-1,3,1,5,-1]],[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-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]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[3,1,5,1],[6,2,5,1,3,1,5,2,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,
1,2,-1,4,1,2,-2,1,-1],[5,2],[6,1,3,1,5,2,3,1,6,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,
1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[3,1,5,-3,3,1,
5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[
6,1,5,1,3,1,5,-1,3,1,5,-2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,
2,-1,4,-1],[3,1,5,1,3,1,5,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,
-1,2,2,1,1,4,1],[4,2,5,2,4,1]],[[1,1,2,-2,1,-1,2,2,1,1]],[[1,1,2,-2,1,-1,2,2,
1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[6,1,5,-1,3,1,6,1,5,-1]]],[[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,
1],[6,2,4,1,6,1,7,-2,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-1,4,1,6,3]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,3,4,1,6,1,4,1]],[[1,-1],[3,1,2,
1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,3,4,
1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-3,3,1,
5,3,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1,3,
1,5,1,3,1,5,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,
1,5,-1,3,1,5,2,3,1,5,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,
-1,4,-1],[5,2],[6,1,5,2,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,
-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,1,4,1,6,1,4,1,6,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,-1,3,1,2,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,
-1],[3,1,2,2,3,-1,2,1],[6,2,5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,
-1,4,-1],[5,1,2,-1,3,1,2,-2,3,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,6,-2,5,-1]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,1,3,1,5,1,6,
1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,-1,4,1,5,2,4,
1]],[[2,1,1,-1,2,-1,1,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,
3,-1,4,1,3,-1,4,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1],[4,1,5,
2]],[[2,1,1,-1,2,-1,1,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[5,2,4,3,3,1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,
1,3,1,4,-2,5,2,4,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,
2,3,1,5,-1,4,2,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,2,
5,2,4,1,3,1,4,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,
4,-2,5,3]],[[1,1,2,1,1,-1,2,-2],[3,-4]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,
2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[4,1,6,1],[7,2,4,1,6,1]],[[2,1,
1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,4]]],[[[2,1,1,-1,2,-1,
1,1],[3,-1],[3,1,2,1],[4,1,2,-1,4,-1,5,1,2,2,3,1,5,-1],[6,3],[3,-1,2,2,3,-1,2,
1,3,1,2,1],[8,1,7,-1,8,1,7,-1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,2,3,-1,2,1,3,1,2,
1],[4,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,
3,1,5,-2,3,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[5,1,4,-1,3,-1,4,-1,5,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,-1],[3,1,4,1],[6,1,5,1,4,1,6,1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,1,3,1,5,-1,6,-1]],[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]]],[[[
1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,
5,1,6,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,
2,3,1,5,-2,3,1,5,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,
1,4,-2,5,1,4,1,3,1,4,-1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,
4,1],[5,1,3,1,4,-2,5,1,4,1,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,
1,4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[2,1,1,-1,2,-1,1,1],[2,1,3,1,2,1,3,1,2,-1,
3,1,2,-1],[3,1,2,2,3,-1,2,1,3,1],[5,2,4,1,5,-1,4,1,5,-1]],[[2,1,1,-1,2,-1,1,
1],[3,1,2,2,3,-1,2,1,3,1],[2,1,3,1,2,1,3,1,2,-1,3,1,2,-1,4,-3]]],[[[1,-1],[3,
1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-2,
3,1,5,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[6,2,3,1,5,-2,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[
4,1,3,1,4,-1,5,-1,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
-1,3,1,4,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[5,1,3,1],[3,1,5,-1,6,2,7,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,-1,5,-1,4,2,5,1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,3,1,4,-1,5,2]]],[[[1,-1],[3,
1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,
1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,
2,5,1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,
5,1],[6,2,3,1,5,-2,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,-1,3,1,5,2,3,1,5,-2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,
-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[5,1,6,2,5,1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,3,1,5,-2,6,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,
2,7,3,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[4,1,6,1],[6,1,7,2,6,2,4,1,7,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2,4,1,6,2,4,1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,-2],[4,1,3,-1,2,-1,3,1,2,1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,
-1,2,-1,3,1,2,1,3,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,
-1],[3,1,2,2,3,-1,2,1],[6,1,5,3,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,
-1,2,-1,4,-1],[5,3,2,-1,3,1,2,-2,3,-1,5,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[
4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[6,2,5,2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-2,6,-1,5,2,3,1,6,1]],[[1,1,2,
-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,1,3,1,5,-1,
3,1,5,-2,6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,
5,1,3,1,5,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
3,1,5,1],[6,1,5,1,6,1,5,1,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2],[7,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[1,1,2,-2,1,
-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,2,3,1,5,-2,6,
-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,-1,
6,1,5,1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,-2,3,1,5,2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[6,1,5,1,6,2,3,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,3,5,1,3,1,5,-1]]],[[[1,-1,2,1,1,-1,2,
-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-1,4,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,-2,3,1,4,2]],[[1,-1,2,1,1,-1,2,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,4,1,5,1,3,1,4,
-1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,2,5,2,3,1,4,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[3,1,4,-2,5,-2,4,
-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,1,3,1,4,-1,3,1,4,
-1]],[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,1,3,1,4,2,3,1]]],[[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,1,3,1,4,1,5,-1,4,
-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,2]],[[
1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]]],[[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,-1,3,1,4,-2,5,1]],[[1,-1,2,1,1,-1,
2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,
2,1,3,1,2,-2],[4,1,3,-1,4,1,3,1,4,2,3,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,
-2],[3,1,4,-2,3,1,4,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,
-1,4,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
-2,3,1,5,2,3,1,5,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[6,2,3,1,5,-1,3,1,5,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,6,2,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[
1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1,5,2,3,1,6,-1]]],[[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,5,-2,4,-1,5,-1]],[[1,-1,2,1,1,
-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-4,3,1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,
1,1,-1,2,-1,3,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,
4,-1,5,2,3,1,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,1,
4,1,5,1,4,1,3,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,
5,2,3,1,4,3]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,
1,4,-1,5,-2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,2,3,1]]],[[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[5,2,6,3,5,
1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,
5,-1,3,1,5,-1,3,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,
1,-1],[5,1,3,1],[6,2,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,
-1],[4,1,3,1,4,1],[5,1,6,1,5,1,6,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2,3,
1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,1,4,1,6,-1,4,1,6,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-2,4,1,6,-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,
2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,1,3,1,6,-1,3,1,5,-2,6,1]],[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-2,3,1,5,1,3,1,5,1,3,
1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,3,4,1,6,1,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,
1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[
1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,5,2,3,1,5,1,6,2]],[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]]],[[[1,1,2,-1,
1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1,5,1]],[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1,3,1,5,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1],[4,1,5,-1,4,-1,3,1,
4,1,5,1]],[[1,1,2,1,1,-1,2,-2],[3,2]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,4,1,6,-1,7,-1,6,-2]],[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,
1],[7,1,6,1,4,1,6,-1,7,-2,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,6,2,7,1,6,1,4,1]]],[[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,2,
6,2,7,1,6,1,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,
-1,2,1,5,1,2,2],[4,1,6,1],[7,2,4,1,6,-1,7,-2,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,
1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[6,2,7,2,6,-1,4,1,
6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[4,1,6,1],[7,1,4,1,7,-1,6,1,4,1,6,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,5,1,3,1,6,-2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,2,
4,1],[7,1,6,-1,4,1,7,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1]],[[2,1,1,
-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,1,
4,1,6,-1,4,1,6,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,2,
3,1,2,2,3,-1,2,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1],[4,3]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,
2,7,3,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[4,1,6,1],[7,2,6,4,4,1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[6,1,4,1,6,-1,7,1,4,1,7,
-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-3,3,1,
5,3,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1,3,
1,5,1,3,1,5,-2]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,-1,1,1,2,-2,1,-1,2,2,1,1,
4,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,
2,2],[6,1,4,1],[7,2,6,-2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,
1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-3,4,1,6,-1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,
2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,3,4,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,
-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-1,3,1,5,2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,3,1,6,
-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-2,5,1,4,1,
5,1,3,1,4,-1]],[[1,1,2,1,1,-1,2,-2],[3,-2,1,-1,2,1,1,-1,2,-1,3,1]],[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,1,5,2]]],[[[1,-1,2,1,
1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,1,2,1,1,-1,2,
-2],[3,-2,1,-1,2,1,1,-1,2,-1,3,1]]],[[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,
2,-1,3,2]],[[1,-1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,3,1],[4,3],[5,-2]],[[
1,-1],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,2,2,1,1],[5,6],[1,1,2,1],[7,1,2,1,7,1],[
8,3],[6,1,9,-2,6,1]],[[1,-1],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,2,2,1,1],[5,6],[1,
1,2,1],[7,1,2,1,7,1],[8,3],[6,1,9,-1,6,1,9,1,6,1]]],[[[1,1,2,1],[3,1,2,1,3,
1],[4,3],[5,-2]],[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,6],[1,1,2,1],[6,1,2,1,6,1],[
7,3],[5,1,8,-2,5,1]],[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,6],[1,1,2,1],[6,1,2,1,6,
1],[7,3],[5,1,8,-1,5,1,8,1,5,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,1],[5,1,6,1],[7,1,5,1,3,1,7,1,6,1]],[[1,1,2,-2,1,-1,2,2,
1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,3,1],[7,1,6,2,7,1]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,2,3,1,5,-1,3,
1,5,-1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,5,1,4,1,3,
1,4,-1,5,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,5,-2,4,
2,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,
1],[5,1,6,3]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,
-1,2,1],[6,1,5,-1,6,-1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-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]],[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-1,3,1,5,2]],[[1,1,2,-1,1,1,
2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,2,3,1,5,2]]],[[[1,1,2,1],[
1,-1,3,-1,2,-1,3,-1],[1,1,2,-2,1,-1,2,2,1,1,4,1],[5,2,4,2]],[[1,1,2,1],[1,-1,
3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1],[4,1,5,2]]],[[[1,1,2,-2,1,-1,2,2,
1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,2],[3,1,5,1,6,1,3,1,5,-1,6,-1]],[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1],[5,1,6,1,5,-1,3,
1,6,2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
1],[3,1,5,-2,6,2,3,1,5,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-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]],[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,2,3,1,5,1,3,1]]],[[[1,-1,2,
1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,-1,5,-1,4,2,5,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[3,1,4,-1,3,1,4,-1,5,2]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[5,2,4,1,3,1,4,-1,5,-2]]],[[[
2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1,3,1],[4,3,2,1,3,1,2,1,3,1,2,-1,3,1,2,
-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1,3,1],[4,1,2,1,3,1,2,1,3,1,2,-1,3,
1,2,-1,4,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1],[3,1,2,1],[4,1,2,-1,4,-1,5,1,2,2,
3,1,5,-1],[6,3]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,2,3,-1,2,1,3,1,2,1]]],[[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-2,3,1,5,
-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,
2,5,1,3,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,
-3,3,1,5,3,3,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,
2,3,1,5,-1,3,1,5,-2,3,1,5,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,
-1,4,-1],[3,1,5,1,3,1,5,-1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,
-1,2,2,1,1,4,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[
3,1,5,1],[3,1,5,-2,6,-1,5,2,3,1,6,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,
1,2,-2,1,-1,2,2,1,1],[5,2,4,-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[3,1,5,-1,3,1,5,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[
1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1],[6,1,7,1],[8,1,7,1,8,1,6,-1,4,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,1,4,1,6,3,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,
-1],[3,1,2,-1,3,1,2,1,3,1,5,1],[5,2,6,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,
2,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,-1,3,1,2,1],[3,1,2,-2],[4,1,5,1],[5,
1,4,1],[6,1,7,-1,5,-1,7,-1,6,1,4,1,7,1]],[[2,1,1,-1,2,-1,1,1,2,-2],[3,2]]],[[[
1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-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]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,
-2,1,-1],[3,1,5,1],[3,1,5,-1,3,1,5,-1,6,2]],[[1,1,2,-1,1,1,2,1]]],[[[1,-1],[3,
1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,-1,
4,1,6,2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,
1,2,2],[6,2,4,1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,
-1],[5,4]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,1,3,1,
2,-1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[3,1,5,-1,3,1,5,-1,6,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,
1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,
1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[6,2,5,1,3,1]],[[1,1,2,-1,1,1,2,1],[
1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1,3,1,5,-1]]],[[[1,-1],[3,1,2,1,
1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,2,4,1,5,1]],[[1,1,2,-1,
1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1,3,1,5,-1]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1,5,
1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,3,1,2,-1],[3,1,2,1,3,1,2,-2],[5,1,4,1,5,
3,4,1]],[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,3,1,2,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,
1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[7,1,6,3,7,1,6,1,4,
1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,
2],[6,1,4,1],[6,1,4,1,6,1,7,-2,6,-2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,
-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,-1]]],[[[2,1,1,-1,2,-1,1,1],[
3,1,2,1],[4,1,3,-1,2,-1,4,-1],[3,1,2,2,3,-1,2,1],[5,1,6,1,5,-2,6,2]],[[2,1,1,
-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,1,2,-1,3,1,2,-2,3,-1]]],[[[1,1,
2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,6,1,
3,1,6,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,
1],[3,1,5,-1,6,-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[3,1,5,-1,6,-1,5,1,6,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,
2,-2],[3,1,4,1],[5,2,4,3,3,1,5,-1]],[[1,1,2,1,1,-1,2,-2],[3,-2,1,-1,2,1,1,-1,
2,-1,3,1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1,3,-1]]],[[[2,1,1,-1,2,
-1,1,1],[3,1,2,1,3,1,2,-2],[4,2,3,1,4,1,3,-1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,2,
2,1,3,1,2,-2,3,-1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[3,1,5,1],[6,1,3,1,5,1,3,1,5,1,6,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,
-1],[1,1,2,-1,1,1,2,1,4,1],[4,2,5,1,4,1,5,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,
2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,
-1,3,1,2,1,3,1],[3,-1],[5,1,3,1,2,-2,3,-1,2,-1,5,-1],[6,1,4,1,6,1,4,1,6,
-1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[3,1,2,-1,3,1,
2,1,3,1,5,-2]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[
5,1,3,1],[5,1,6,-1,5,-1,3,1,6,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-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]],[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,2,3,1,5,1]],[[
1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,-2]]],[[[1,1,
2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[5,2,3,1,6,-1,5,
1,6,1]],[[1,1,2,-2,1,-1,2,2,1,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[3,1,4,-1,5,2,3,1,4,-1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,
-2],[3,1,4,1],[4,-1,3,1,4,-2,5,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,
2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,1,6,-1,3,1,5,1,6,1,5,-2]],[[1,1,2,-1,1,1,2,
1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1,5,-1]],[[1,-1],[3,1,
2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,-2]]],[[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1],[6,2,3,1,5,-1]],[[1,1,
2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1],[5,2,4,-2]]],[[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,2,5,1,3,1,5,
-1,6,-2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,2],[5,1,4,1,1,1,2,-1,1,
1,2,1,5,-1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,
5,2,3,1,5,2]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[4,1,3,1,4,-2,3,1,4,
-2,3,1,4,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,1],[4,1,3,1,4,
-1,5,-1,4,1,5,2]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,
3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,2,3,-1,4,-1,3,-1],[
5,2]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,-1,4,-2,3,1,4,1]]],[[[1,-1],[
3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,2,4,1,6,
-1,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,
1,5,1,2,2],[4,1,6,-4]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,
2,1,1,-1,2,1,5,1,2,2],[4,1,6,1],[4,1,6,-1,7,2,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,
2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-1,4,1,6,-3]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-3,3,1,5,3,3,
1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,2,3,1,5,-1,3,
1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-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]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,
-1,4,1,2,-2,1,-1],[3,1,5,1],[5,-1,3,1,5,-1,6,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[
4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,-2,3,1,5,-1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[
3,-1,2,-1,3,1,2,1]],[[2,1,1,-1,2,-1,1,1,2,-2]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,
1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,2],[5,1,3,1,6,1,3,1,5,1,6,1]],[[1,1,2,-2,1,-1,
2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,2,3,1,5,-2]]],[[[1,-1],[3,1,2,
1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,1,5,1],[6,1,5,1,6,1,5,
1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,1,1,1,2,-1,1,1,2,1,4,-1]],[[1,
1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,5,1,3,
1,5,-2,6,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,
1,3,1],[6,2,5,1,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,
-1],[5,1,3,1,5,-1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,2,1,1,2,
-1,1,1,2,1,4,1]]],[[[1,1,2,1,1,-1,2,-2],[1,-1,2,1,1,-1,2,-1,3,1],[4,1,3,2,4,2,
3,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-2,3,1,4,2,3,1]],[[1,
-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,1,4,1,3,1]]],[[[1,1,2,-1,1,
1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,2,3,1,5,-2,3,1]],[[1,1,2,-1,
1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,5,-1,3,1,5,1]]],[[[
1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[3,1,5,-1,6,
-2]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,1,5,
1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,
1,5,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,
5,-1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[4,1,3,1,4,-1,3,-1,4,
-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,-1,3,-1,4,1]]],[[[1,1,2,
-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1],[5,1,6,-1,3,1,5,
1,6,1,5,-2]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,1,1,1,2,-1,1,1,2,1,4,
1]],[[1,1,2,-1,1,1,2,1]]],[[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,
1],[4,-1,3,1,4,-2,5,1]],[[1,-1,2,1,1,-1,2,-1],[1,1,2,1,1,-1,2,-2],[3,1,4,-1,3,
1,4,1,3,1]],[[1,1,2,1,1,-1,2,-2],[3,1,1,-1,2,1,1,-1,2,-1,3,-1]]],[[[1,1,2,-2,
1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1],[6,1,3,1,5,-1,6,1,5,1,
6,1]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[5,1,3,1,5,1,3,
1,5,-1,3,1,5,-1]],[[1,1,2,-2,1,-1,2,2,1,1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,
-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-4]],[[1,-1],[3,1,2,1,1,1,2,
1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[6,1,4,1,6,-1]]],[[[2,1,1,
-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,-1,3,1,2,2,3,-1,2,1]],[[2,1,1,
-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1],[5,1,2,-1,3,1,2,-2,3,-1]]],[[[1,1,
2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,1],[6,1,3,1,6,
-2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,-2,3,1,5,
-2,3,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,1,3,1,
5,1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[
5,2,4,1]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,
-1,3,1,5,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,
2,1,5,1,2,2],[4,1,6,-2,4,1,6,-2]],[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,3,4,1,6,-1]],[[1,-1],[3,1,2,1,1,1,2,1,1,
1,2,-2,3,-1],[1,-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,1,4,1,6,1]]],[[[2,1,1,
-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[3,1,2,-1,3,1,2,1,3,1,5,
1]],[[2,1,1,-1,2,-1,1,1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1],[5,-2]]],[[[1,
-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,2,1,1,2,-1,1,1,2,1,4,1]],[[1,1,2,-1,1,
1,2,1]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[4,
2,5,2]],[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,1,1,1,2,-1,4,1,2,-2,1,-1],[5,-2,3,1,
5,2,3,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,
-1,2,-1,4,-1],[5,1,3,1,5,-1,3,1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,
3]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[3,1,4,1,3,-1,4,-1,3,1]],[[2,1,
1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,
2,-1,4,-1],[5,1,3,1,2,2,3,-1,2,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,2,3,-1,2,1],[4,
2]]],[[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[4,1,1,1,2,-1,1,1,2,1,4,-2]],[[
1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,2]]],[[[1,-1],[3,1,
2,1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,1],[5,2,4,1]],[[1,-1],[3,1,2,
1,1,1,2,-1,3,1,2,-2,1,-1],[1,1,2,-1,1,1,2,1,4,-1]]],[[[1,1,2,-2,1,-1,2,2,1,
1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-3,3,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,
3,-1]]],[[[1,-1],[1,1,2,1],[2,1,4,1,3,1,4,1,3,1,2,2,1,1],[5,6]],[[1,1,2,1],[3,
1,2,1,3,1],[4,3]]],[[[1,1,2,1],[2,1,1,-1,2,2,3,2],[4,6]],[[1,1,2,1],[3,1,2,1,
3,1],[4,3]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,-1,3,1,2,1,3,1]],[[2,1,1,-1,2,-1,1,
1],[3,-1],[4,1,3,1,2,-2,3,-1,2,-1,4,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,
1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,1,3,1,5,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[
4,3]],[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-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],[1,1,2,1],[1,-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]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,
3]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1,4,1]]],[[[2,1,
1,-1,2,-1,1,1],[3,1,2,1],[4,1,3,-1,2,-1,4,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,2,
3,-1,2,1]]],[[[2,1,1,-1,2,-1,1,1],[2,1,3,1,2,1,3,1,2,-1,3,1,2,-1]],[[2,1,1,-1,
2,-1,1,1],[3,1,2,2,3,-1,2,1,3,1]]],[[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2],[
4,1,3,1,4,-1,3,-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2]]],[[[1,1,2,1],[1,
-1,3,-1,2,-1,3,-1],[4,1,1,1,2,-2,1,-1,2,2,1,1,4,1]],[[1,1,2,1],[1,-1,3,-1,2,
-1,3,-1],[4,3]],[[1,1,2,-2,1,-1,2,2,1,1]]],[[[1,1,2,-1,1,1,2,1],[1,-1],[4,1,2,
1,1,1,2,-1,4,1,2,-2,1,-1],[3,1,5,-1,3,1]],[[1,-1],[3,1,2,1,1,1,2,-1,3,1,2,-2,
1,-1]]],[[[1,1,2,-2,1,-1,2,2,1,1],[1,1,2,1],[1,-1,4,-1,2,-1,4,-1],[3,1,5,-1,3,
1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1]]],[[[2,1,1,-1,2,-1,1,1],[3,-1,2,1,3,1,2,
-1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2]]],[[[1,1,2,-1,1,1,2,1]],[[1,-1],[
3,1,2,1,1,1,2,-1,3,1,2,-2,1,-1]]],[[[1,-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1],[1,
-1],[5,1,2,1,1,-1,2,1,5,1,2,2],[4,1,6,-1,4,1]],[[1,-1],[3,1,2,1,1,-1,2,1,3,1,
2,2]]],[[[1,1,2,-2,1,-1,2,2,1,1]],[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1]]],[[[1,
-1],[3,1,2,1,1,1,2,1,1,1,2,-2,3,-1]],[[1,-1],[3,1,2,1,1,-1,2,1,3,1,2,2]]],[[[
2,1,1,-1,2,-1,1,1]],[[2,1,1,-1,2,-1,1,1],[3,1,2,1,3,1,2,-2]]],[[[1,-1,2,1,1,
-1,2,-1]],[[1,1,2,1,1,-1,2,-2]]],[[[2,1,1,-1,2,-1,1,1]],[[2,1]]],[[[1,1]],[[2,
1]]]]);


AFLT( "A5","S5",[1,3,4,5,8,10,13,14,18] );

AFLT( "A5","L2(11)",[1,2,3,4,5,6,9,11,14] );

AFLT( "A5","L2(11)",[1,2,3,4,5,7,9,11,15] );

AFLT( "A5","A6",[1,2,3,8,5,9,13,14,20] );

AFLT( "A5","A6",[1,2,4,7,5,10,13,15,21] );

AFLT( "A5","2^4:A5`",[1,4,5,11,14,17,31,33,56] );

AFLT( "A5","2^4:A5",[1,3,4,9,19,20,31,38,68] );

AFLT( "A5","2^4:A5",[1,3,4,12,19,20,31,35,69] );

AFLT( "A5","2^4:A5",[1,3,4,10,19,20,31,36,70] );

AFLT( "A5","2^4:A5",[1,3,4,11,19,20,31,37,71] );

AFLT( "A5","L2(16)",[1,2,3,4,7,8,10,11,18] );

AFLT( "A5","L2(19)",[1,2,3,4,5,6,8,11,17] );

AFLT( "A5","L2(19)",[1,2,3,4,5,6,9,11,16] );

AFLT( "A5","L2(125)",[1,2,3,4,5,6,9,10,18] );

AFLT( "A5","L2(109)",[1,2,3,4,5,8,10,13,25] );

AFLT( "A5","L2(109)",[1,2,3,4,5,7,10,13,24] );

AFLT( "A5","J2",[1,3,5,8,12,15,29,37,99] );

AFLT( "A5","L2(29)",[1,2,3,4,5,6,8,9,19] );

AFLT( "A5","L2(29)",[1,2,3,4,5,6,8,9,18] );

AFLT( "A5","L2(31)",[1,2,3,4,7,8,12,13,24] );

AFLT( "A5","L2(31)",[1,2,3,5,7,8,12,14,25] );

AFLT( "A6","L3(4)",[1,2,3,3,14,5,9,7,15,15,24,26,27,32,33,50,57,55,63,73,77,
90] );

AFLT( "A6","L3(4)",[1,2,3,3,14,6,12,10,15,15,23,26,27,30,29,50,56,52,64,76,74,
91] );

AFLT( "A6","L3(4)",[1,2,3,3,14,4,8,13,15,15,22,26,27,31,28,50,53,54,65,71,75,
92] );

AFLT( "A6","S6",[1,4,5,6,14,9,7,8,18,19,26,28,29,30,31,35,41,42,47,50,51,
55] );

AFLT( "A6","A7",[1,2,4,3,8,7,5,6,11,10,13,14,15,21,17,23,28,29,32,34,33,39] );

AFLT( "A6","A6.2_3",[1,2,3,3,7,5,4,4,8,8,11,12,13,14,14,16,18,18,20,22,22,
24] );

AFLT( "A6","2^4:A6",[1,3,5,4,17,16,13,9,20,19,35,37,38,47,43,69,76,73,95,107,
106,132] );

AFLT( "A6","2^4:A6",[1,3,4,5,17,16,8,13,19,20,36,37,38,43,46,69,72,78,95,106,
105,133] );

AFLT( "A6","S4(5)",[1,3,5,4,15,11,7,8,18,19,30,32,39,47,48,69,90,92,126,157,
156,241] );

AFLT( "A6","A6.2_2",[1,3,4,4,8,6,5,5,9,9,11,13,16,17,17,19,21,21,22,23,23,
25] );

AFLT( "A6","U3(11)",[1,2,3,3,7,5,6,6,9,9,13,14,16,25,26,32,47,48,54,71,73,
99] );

AFLT( "A6","U3(11)",[1,2,3,3,7,5,6,6,9,9,13,14,16,24,26,32,49,48,52,72,73,
101] );

AFLT( "A6","U3(11)",[1,2,3,3,7,5,6,6,9,9,13,14,16,24,25,32,49,47,53,72,71,
100] );

AFLT( "A7","U3(5)",[1,2,3,3,5,5,4,6,11,10,10,12,15,16,19,22,24,21,23,25,24,26,
28,32,33,36,38,37,37,35,44,45,52,52,54,60,66,65,71,78] );

AFLT( "A7","U3(5)",[1,2,3,3,5,5,4,7,11,10,10,12,15,16,17,22,23,21,24,25,23,26,
28,31,33,37,38,36,36,35,44,43,51,51,54,62,66,64,69,79] );

AFLT( "A7","U3(5)",[1,2,3,3,5,5,4,8,11,10,10,12,15,16,18,23,22,21,24,25,22,26,
28,30,33,37,38,35,35,36,44,42,53,53,54,61,65,64,70,77] );

AFLT( "A7","M22",[1,2,3,3,5,7,9,10,11,12,12,13,24,26,27,30,31,35,29,37,34,36,
55,56,57,63,68,62,66,65,81,83,96,99,110,121,129,127,141,152] );

AFLT( "A7","M22",[1,2,3,3,5,7,9,10,11,12,12,13,24,26,27,31,30,35,29,37,34,36,
55,56,57,63,68,62,65,66,81,82,97,100,110,120,129,128,140,153] );

AFLT( "A7","U4(3)",[1,2,5,4,9,8,11,12,14,17,18,19,27,37,40,44,41,48,43,53,45,
51,75,84,85,98,101,96,93,97,152,147,186,188,203,256,277,275,315,365] );

AFLT( "A7","U4(3)",[1,2,5,4,9,8,11,12,14,17,18,19,27,37,40,43,41,48,44,53,46,
51,75,84,85,97,101,95,93,98,152,147,186,189,203,256,274,276,314,366] );

AFLT( "A7","U4(3)",[1,2,6,4,8,9,11,12,15,16,18,19,27,36,40,46,42,49,45,54,43,
50,74,84,85,96,102,98,92,95,151,146,187,190,204,257,277,276,316,363] );

AFLT( "A7","U4(3)",[1,2,6,4,8,9,11,12,15,16,18,19,27,36,40,46,42,49,45,54,44,
50,74,84,85,96,102,97,92,95,151,146,187,191,204,257,275,274,317,364] );

AFLT( "A7","S7",[1,3,5,6,7,10,11,14,16,20,22,23,29,31,33,37,36,35,37,44,40,42,
50,53,56,70,59,67,68,70,71,73,80,81,83,87,91,91,93,95] );

AFLT( "A7","A8",[1,3,4,5,6,10,13,14,17,16,19,20,34,36,37,39,38,41,40,45,43,46,
59,62,63,78,76,65,71,77,89,87,101,102,105,115,118,119,130,136] );

AFLT( "A7","2^4:A7",[1,3,4,5,7,11,12,13,14,17,16,18,31,33,34,42,41,40,37,48,
43,44,65,66,67,78,79,74,81,83,96,98,119,121,130,145,151,153,172,185] );

AFLT( "A8","S8",[1,3,4,6,7,8,9,9,12,14,16,18,20,23,25,28,30,35,33,36,37,37,38,
40,39,50,50,43,42,67,56,47,67,65,66,70,71,74,78,78,75,86,76,86,82,84,88,95,96,
100,120,113,113,120,104,119,112,118,128,130,132,136,137,139,145,155,150,158,
157,149,142,158,157,155,154,151,161,161,165,167,166,167,176,176,172,171,186,
189,184,188,197,197,198,204,199,214,211,214,217,217,218,219,220,229,230,234,
240,240,247,248,248,242,247,246,253,257,260,264,264,265,265,263,266,268,270,
270,276,276,274,278,279,285,287,291,291,293,295] );

AFLT( "A8","M23",[1,2,2,3,3,4,4,5,5,5,5,6,6,7,8,8,9,9,8,10,12,11,12,13,14,17,
16,13,17,19,19,17,18,19,18,21,22,24,26,25,28,25,27,27,29,30,30,32,34,39,37,41,
40,39,41,41,39,43,46,47,47,48,49,51,57,59,53,57,52,56,58,59,53,56,55,61,60,59,
62,65,66,63,70,69,65,70,74,77,76,77,81,79,82,92,86,88,88,87,96,95,97,98,101,
104,112,111,116,115,121,116,118,122,119,123,130,129,132,139,138,140,141,139,
142,151,148,149,159,160,157,166,169,177,180,187,188,192,200] );

AFLT( "A8","2^4:A8",[1,3,5,6,7,25,16,18,14,31,29,34,37,38,39,41,44,45,42,46,
49,48,86,92,163,152,148,74,141,108,116,159,112,131,129,167,168,173,170,171,
181,178,179,176,190,188,185,193,209,296,325,367,355,330,406,416,300,426,441,
443,442,444,445,478,464,460,483,452,486,449,470,455,485,462,497,502,467,468,
505,576,682,575,820,823,567,827,862,860,859,861,865,866,874,925,917,909,892,
907,945,946,948,950,951,1093,1239,1242,1246,1244,1276,1253,1252,1261,1277,
1291,1309,1311,1454,1461,1460,1464,1463,1459,1465,1495,1527,1524,1596,1597,
1593,1606,1608,1685,1686,1721,1719,1742,1762] );

AFLT( "A8","A9",[1,3,2,4,6,7,9,8,11,10,13,14,12,15,19,17,18,22,20,23,24,25,26,
27,28,29,31,30,32,37,35,36,34,33,38,40,45,48,53,53,51,54,49,56,58,59,61,63,64,
69,68,67,65,66,70,71,73,72,75,81,82,88,89,94,91,102,104,107,96,97,90,95,100,
105,108,99,109,109,115,116,118,117,122,121,120,119,123,127,124,128,135,134,
136,137,138,142,140,139,149,148,150,151,153,154,156,162,165,166,167,171,168,
170,169,172,178,179,180,187,187,184,185,186,188,191,192,190,199,200,201,203,
205,209,212,214,215,220,222] );

AFLT( "A9","A10",[1,2,3,4,6,5,7,9,9,8,11,14,13,16,17,21,19,25,22,20,24,27,28,
29,29,30,31,44,47,33,47,45,35,40,39,48,40,41,52,51,53,54,55,56,57,60,58,61,62,
70,69,65,63,66,76,66,75,80,74,82,79,84,85,87,100,106,100,106,104,95,99,110,
105,115,113,116,123,124,121,120,119,118,122,125,129,130,127,126,131,135,134,
149,151,146,143,148,138,158,153,148,161,142,160,147,142,156,143,163,139,144,
165,167,166,168,170,175,175,172,180,178,181,181,189,193,197,191,201,200,204,
209,210,211,213,214,214,216,231,221,228,227,234,228,238,239,240,242,241,243,
243,244,245,248,251,254,270,262,273,271,278,279,263,275,286,287,292,292,306,
293,306,295,293,305,311,313,312,318,319,314,315,323,332,334,336,339,339,338,
337,340,341,345,344,345,355,354,356,358,360,362,368,368,363,372,374,378,377,
385,387,388,390,395,397,399,404,407,407,411,414,413,416,417,421,427,429] );

AFLT( "A9","S9",[1,3,4,6,7,8,9,13,13,12,14,15,19,22,24,29,26,32,36,33,39,41,
42,43,43,45,48,49,64,51,64,50,55,72,60,66,72,67,76,77,78,79,80,80,81,82,83,86,
88,90,87,93,92,111,101,111,107,105,98,97,116,120,123,124,141,136,141,136,132,
128,148,143,144,156,155,159,172,172,168,169,166,167,173,175,183,179,186,184,
188,191,198,194,196,201,241,239,226,232,236,239,219,243,214,230,243,218,241,
244,240,238,247,249,249,248,253,256,256,254,258,257,263,263,273,275,274,281,
279,278,290,294,302,297,308,310,310,311,317,316,343,326,328,343,348,351,354,
352,354,355,355,356,357,358,360,363,370,376,375,378,373,381,371,387,396,401,
403,403,406,409,406,405,409,410,416,421,420,427,432,434,435,439,450,445,457,
462,462,460,461,463,464,468,466,468,477,471,478,482,480,489,493,493,491,496,
500,501,504,512,518,518,521,522,526,527,532,535,535,538,540,540,543,544,549,
551,553] );

AFLT( "A10","S10",[1,3,6,7,8,9,10,12,22,16,23,20,27,31,30,32,35,36,38,40,43,
44,45,47,53,52,56,58,93,104,113,108,121,100,61,63,66,69,81,90,76,85,82,122,
130,135,140,137,129,143,145,146,147,148,149,149,150,153,154,156,158,159,160,
161,162,163,164,199,200,202,207,176,182,167,191,172,194,193,188,215,216,213,
214,220,222,223,228,229,241,246,279,288,283,284,303,270,267,269,314,320,322,
328,327,335,338,341,344,346,356,354,361,364,367,368,369,371,387,384,385,379,
382,383,390,390,397,392,394,396,403,401,408,409,407,413,414,411,417,419,423,
420,421,427,425,430,435,437,439,445,457,470,452,462,487,482,484,492,503,508,
476,477,515,511,517,522,523,525,525,524,531,527,529,537,545,553,569,577,588,
590,606,613,614,599,616,639,637,646,620,652,682,683,686,658,687,688,690,689,
691,693,695,670,672,667,663,678,712,713,700,704,714,720,717,728,732,791,792,
737,738,735,744,751,774,761,757,763,776,768,779,788,795,793,800,799,833,815,
810,834,835,838,839,845,845,843,846,847,848,849,850,851,853,856,861,863,866,
865,883,897,908,888,890,919,951,952,953,964,971,981,983,988,989,993,942,939,
941,926,929,949,950,946,948,944,1004,1005,999,997,1014,1019,1022,1031,1035,
1027,1045,1056,1058,1060,1064,1094,1098,1087,1081,1103,1101,1068,1076,1071,
1079,1107,1114,1116,1117,1121,1122,1123,1130,1135,1138,1141,1144,1143,1148,
1151,1157,1164,1175,1176,1181,1213,1218,1225,1226,1202,1199,1193,1185,1191,
1249,1252,1255,1256,1257,1258,1259,1272,1267,1270,1303,1287,1294,1311,1311,
1307,1313,1319,1320,1324,1326,1328,1327,1333,1336,1344,1345,1347,1352,1354,
1360,1365,1363,1366,1368,1384,1385,1388,1392,1395,1396,1397,1404,1405,1401,
1409,1418,1424,1425,1426,1442,1443,1448,1448,1449,1452,1456,1460,1451,1469,
1474,1481,1484,1483,1479,1489,1494,1503,1504,1508,1513,1517,1521,1522,1530,
1524,1534,1533,1539,1539,1541,1544,1549,1554,1560,1562,1565,1568,1571,1572,
1577,1580,1583,1587,1590,1592] );

AFLT( "A10","A11",[1,2,3,4,5,6,7,8,9,11,10,13,12,14,16,15,17,18,19,20,21,22,
23,24,27,28,29,31,32,34,33,36,35,37,38,39,40,41,42,44,43,46,45,47,48,51,50,49,
52,53,54,55,57,56,58,58,59,60,61,62,64,65,66,67,68,69,71,74,72,76,78,85,86,82,
87,89,92,91,90,79,81,95,96,98,99,103,101,102,122,121,107,110,109,108,104,111,
112,113,105,106,117,119,118,114,115,116,123,124,125,120,127,126,128,130,129,
131,134,136,140,141,142,143,145,145,151,147,148,149,154,153,157,158,159,164,
165,166,169,168,167,173,174,170,171,176,190,187,189,192,199,203,200,204,177,
182,183,184,211,209,218,215,220,221,214,223,224,226,226,225,234,230,232,236,
245,244,237,239,240,238,243,241,242,246,247,248,249,250,252,251,253,254,255,
262,256,257,259,258,260,274,273,263,264,268,269,271,277,276,278,279,282,287,
288,294,295,303,305,298,301,300,302,311,309,312,313,314,315,316,310,317,343,
342,321,322,355,349,350,356,357,359,360,366,366,365,368,370,371,372,375,376,
381,382,378,384,385,386,390,387,391,388,389,397,394,392,396,422,421,418,417,
420,419,404,413,416,415,402,401,408,409,405,406,412,425,424,426,427,432,434,
438,454,455,453,457,447,448,449,451,474,475,479,480,478,477,459,461,460,458,
465,487,486,488,491,489,490,492,501,502,505,507,506,508,514,516,517,518,521,
524,537,547,539,538,536,535,545,546,544,550,554,555,556,560,563,565,579,578,
572,573,584,583,585,586,587,590,597,598,593,592,599,601,606,607,602,603,613,
616,617,626,624,625,620,636,637,639,640,643,644,645,651,647,648,653,659,660,
662,663,664,670,672,677,677,679,683,686,687,688,692,695,704,701,703,700,707,
708,713,714,717,721,723,726,727,728,731,732,734,737,737,742,748,750,753,755,
759,763,764,767,770,774,775,776,780,785,787] );

AFLT( "A11","S11",[1,3,6,7,8,9,10,12,15,16,21,23,26,30,33,32,35,36,38,41,43,
44,47,49,50,53,55,59,60,62,64,99,113,102,116,122,108,68,75,80,82,85,72,88,97,
94,147,129,132,134,141,136,150,151,152,154,153,155,156,159,161,164,166,167,
168,169,170,171,172,173,174,227,229,230,231,234,236,243,252,253,255,186,178,
182,205,213,214,201,193,195,220,217,223,248,250,251,261,260,263,264,265,272,
266,283,289,287,320,326,323,329,312,297,301,362,366,367,369,375,380,394,351,
356,385,387,391,404,408,409,410,413,414,416,417,444,446,433,428,429,426,432,
435,424,425,438,448,451,452,455,456,472,471,461,465,467,479,476,480,481,482,
511,512,515,518,486,487,489,492,491,494,496,495,497,498,499,505,502,619,626,
625,624,627,633,638,645,649,671,525,527,528,530,534,536,539,698,701,703,571,
572,580,585,546,553,589,592,692,691,660,657,666,662,668,708,708,707,613,606,
616,611,677,686,683,709,711,712,713,714,715,717,722,733,732,730,731,726,727,
741,771,772,779,791,796,797,799,746,760,810,806,827,823,834,841,843,901,903,
906,907,908,910,909,911,912,913,864,866,877,882,887,874,869,896,890,897,918,
920,924,957,956,946,950,933,939,968,959,1005,1001,977,984,982,975,994,1000,
990,1015,1017,1013,1020,1044,1100,1101,1102,1105,1112,1116,1117,1118,1022,
1030,1184,1051,1061,1054,1075,1074,1078,1063,1066,1083,1084,1086,1092,1177,
1180,1277,1246,1252,1258,1262,1267,1192,1193,1212,1213,1216,1202,1230,1228,
1221,1220,1225,1287,1288,1190,1189,1299,1298,1141,1131,1128,1160,1156,1308,
1306,1303,1303,1302,1315,1316,1319,1322,1323,1326,1328,1329,1334,1335,1337,
1339,1340,1345,1348,1349,1350,1351,1351,1352,1353,1354,1367,1368,1366,1365,
1359,1362,1377,1380,1379,1391,1414,1415,1401,1405,1449,1450,1451,1452,1455,
1488,1491,1495,1497,1434,1440,1447,1541,1479,1483,1481,1484,1485,1486,1487,
1478,1466,1467,1470,1472,1502,1499,1549,1548,1515,1507,1525,1556,1558,1554,
1552,1560,1568,1570,1576,1583,1591,1602,1605,1595,1593,1613,1614,1616,1617,
1624,1620,1627,1626,1628,1636,1637,1642,1674,1675,1676,1655,1645,1650,1661,
1662,1690,1697,1700,1704,1712,1742,1743,1746,1747,1756,1791,1793,1804,1752,
1750,1813,1683,1679,1781,1735,1738,1723,1720,1844,1852,1819,1831,1855,1865,
1868,1866,1872,1873,1878,1880,1888,1889,1884,1901,1895,1899,1907,1919,1918,
1921,1926,1926,1923,1929,1931,1939,1941,1946,1944,1935,1937,1952,1948,1963,
1973,1979,1980,1981,1982,1983,1984,2029,2031,2033,2036,2073,2072,2045,2048,
2059,2066,2069,2099,2097,2083,2105,2104,1993,2005,2008,2006,2015,2011,1995,
2093,2120,2111,2128,2136,2147,2146,2143,2150,2151,2152,2159,2159,2158,2157,
2163,2167,2166,2168,2172,2176,2177,2178,2179,2187,2192,2225,2254,2186,2256,
2245,2191,2196,2197,2237,2247,2213,2204,2295,2295,2290,2299,2304,2310,2332,
2341,2316,2320,2322,2333,2314,2315,2363,2364,2366,2371,2372,2355,2349,2352,
2359,2373,2382,2378,2386,2389,2391,2392,2400,2403,2405,2419,2420,2431,2432,
2416,2435,2426,2427,2428,2423,2484,2450,2470,2445,2477,2481,2476,2440,2499,
2504,2505,2507,2510,2514,2520,2519,2527,2528,2530,2529,2531,2540,2538,2537,
2555,2545,2546,2544,2558,2559,2575,2567,2593,2594,2598,2597,2603,2612,2621,
2632,2627,2660,2651,2648,2653,2655,2641,2666,2670,2680,2681,2682,2685,2684,
2687,2696,2709,2714,2689,2691,2701,2708,2724,2735,2740,2739,2746,2749,2750,
2754,2754,2755,2760,2765,2766,2767,2764,2771,2772,2777,2790,2796,2803,2804,
2806,2812,2819,2827,2840,2843,2844,2848,2847,2854,2864,2870,2871,2876,2881,
2883,2908,2896,2898,2888,2903,2901,2904,2892,2890,2914,2917,2919,2920,2927,
2929,2932,2944,2943,2939,2936,2937,2947,2956,2961,2967,2976,2985,2989,2990,
2992,2995,2997,3008,3002,3015,3014,3021,3022,3029,3030,3031,3031,3034,3038,
3042,3045,3047,3053,3056,3062,3064,3066,3069,3072,3075,3078,3082,3085,3088,
3091,3093] );

AFLT( "A11","A12", [ 1, 2, 4, 5, 6, 8, 9, 10, 11, 17, 19, 16, 21, 22, 23, 
  24, 26, 27, 28, 29, 32, 31, 35, 34, 37, 39, 38, 40, 42, 44, 45, 46, 47, 53, 
  52, 67, 69, 70, 76, 77, 78, 71, 75, 90, 91, 92, 93, 97, 98, 103, 110, 112, 
  114, 115, 123, 122, 121, 125, 127, 128, 130, 131, 133, 134, 135, 136, 139, 
  138, 137, 143, 145, 146, 150, 148, 151, 147, 152, 153, 178, 180, 179, 157, 
  159, 160, 169, 170, 158, 172, 162, 161, 171, 174, 177, 184, 183, 185, 187, 
  186, 188, 189, 190, 203, 192, 229, 230, 247, 281, 282, 283, 284, 285, 287, 
  286, 208, 209, 210, 225, 226, 227, 288, 309, 308, 322, 323, 327, 335, 331, 
  338, 340, 342, 341, 348, 349, 372, 374, 350, 354, 355, 365, 351, 364, 356, 
  357, 370, 375, 377, 376, 378, 379, 382, 381, 385, 384, 383, 387, 388, 389, 
  390, 391, 435, 436, 437, 438, 392, 393, 396, 394, 397, 400, 398, 399, 411, 
  406, 407, 415, 408, 441, 449, 451, 450, 452, 447, 448, 446, 455, 474, 417, 
  422, 419, 421, 425, 420, 433, 480, 481, 482, 467, 468, 461, 456, 470, 471, 
  466, 472, 505, 506, 486, 487, 485, 489, 488, 476, 477, 475, 494, 496, 497, 
  495, 502, 499, 504, 508, 509, 510, 515, 519, 524, 526, 525, 527, 529, 533, 
  534, 531, 532, 541, 558, 559, 585, 586, 591, 592, 607, 639, 640, 662, 663, 
  702, 701, 708, 690, 680, 718, 719, 720, 726, 727, 728, 729, 730, 734, 762, 
  736, 739, 746, 747, 748, 745, 743, 757, 749, 761, 765, 766, 768, 771, 772, 
  773, 778, 782, 781, 783, 784, 790, 791, 787, 785, 786, 788, 792, 794, 793, 
  800, 796, 797, 801, 825, 802, 810, 805, 804, 813, 818, 820, 821, 870, 871, 
  878, 830, 838, 841, 842, 843, 844, 840, 845, 839, 860, 863, 869, 826, 828, 
  887, 888, 889, 890, 882, 883, 885, 886, 879, 880, 881, 916, 911, 910, 907, 
  909, 908, 915, 914, 876, 875, 905, 906, 900, 901, 902, 893, 903, 920, 919, 
  923, 922, 921, 926, 927, 938, 929, 937, 942, 946, 955, 954, 953, 962, 963, 
  964, 965, 966, 967, 968, 972, 971, 973, 975, 977, 979, 981, 993, 991, 989, 
  990, 994, 1023, 1022, 1089, 1079, 1078, 1102, 1080, 1120, 1124, 1122, 1131, 
  1121, 1132, 1203, 1205, 1207, 1134, 1138, 1142, 1149, 1168, 1172, 1175, 
  1173, 1174, 1178, 1179, 1180, 1159, 1165, 1156, 1166, 1197, 1194, 1209, 
  1210, 1184, 1181, 1193, 1223, 1224, 1220, 1219, 1230, 1229, 1233, 1232, 
  1231, 1236, 1234, 1235, 1237, 1238, 1240, 1247, 1246, 1249, 1251, 1250, 
  1253, 1252, 1254, 1262, 1264, 1272, 1336, 1274, 1275, 1317, 1318, 1324, 
  1333, 1332, 1280, 1285, 1288, 1287, 1353, 1348, 1349, 1300, 1304, 1361, 
  1373, 1374, 1379, 1354, 1372, 1385, 1344, 1346, 1386, 1363, 1365, 1360, 
  1358, 1390, 1384, 1383, 1388, 1381, 1396, 1394, 1392, 1400, 1404, 1407, 
  1408, 1421, 1422, 1418, 1427, 1412, 1417, 1430, 1434, 1432, 1435, 1443, 
  1444, 1442, 1445, 1446, 1451, 1453, 1466, 1467, 1455, 1456, 1471, 1473, 
  1474, 1525, 1531, 1535, 1534, 1533, 1545, 1544, 1539, 1590, 1589, 1591, 
  1605, 1594, 1606, 1607, 1599, 1600, 1603, 1564, 1565, 1580, 1584, 1585, 
  1555, 1557, 1556, 1558, 1547, 1546, 1561, 1604, 1618, 1621, 1623, 1625, 
  1634, 1632, 1631, 1639, 1640, 1645, 1643, 1642, 1641, 1644, 1646, 1647, 
  1649, 1648, 1654, 1653, 1652, 1655, 1656, 1702, 1661, 1669, 1745, 1746, 
  1747, 1748, 1710, 1717, 1721, 1744, 1738, 1736, 1735, 1761, 1761, 1756, 
  1770, 1773, 1768, 1798, 1780, 1776, 1793, 1792, 1796, 1789, 1788, 1802, 
  1804, 1805, 1806, 1807, 1810, 1809, 1808, 1813, 1820, 1825, 1826, 1829, 
  1828, 1818, 1819, 1834, 1851, 1855, 1867, 1868, 1857, 1862, 1869, 1882, 
  1877, 1878, 1872, 1881, 1888, 1884, 1887, 1891, 1892, 1889, 1883, 1890, 
  1900, 1907, 1908, 1910, 1922, 1928, 1931, 1932, 1934, 1939, 1944, 1940, 
  1943, 1952, 1953, 1951, 1957, 1947, 1948, 1949, 1958, 1959, 2000, 1984, 
  2002, 2006, 2007, 2008, 2018, 2030, 2035, 2037, 2038, 2045, 2041, 2043, 
  2042, 2048, 2049, 2052, 2051, 2057, 2059, 2058, 2060, 2061, 2063, 2065, 
  2104, 2105, 2093, 2098, 2089, 2106, 2107, 2109, 2111, 2112, 2140, 2130, 
  2134, 2144, 2143, 2147, 2155, 2163, 2165, 2166, 2169, 2182, 2180, 2178, 
  2187, 2192, 2215, 2227, 2226, 2231, 2232, 2233, 2239, 2241, 2243, 2247, 
  2244, 2268, 2277, 2278, 2279, 2298, 2299, 2301, 2313, 2321, 2322, 2309, 
  2303, 2304, 2305, 2318, 2315, 2336, 2347, 2346, 2345, 2350, 2352, 2362, 
  2369, 2370, 2373, 2367, 2364, 2376, 2390, 2409, 2407, 2403, 2416, 2417, 
  2419, 2420, 2427, 2428, 2433, 2435, 2441, 2440, 2452, 2454, 2459, 2460, 
  2463, 2462, 2466, 2473, 2474, 2475, 2487, 2490, 2495, 2496, 2498, 2504, 
  2507, 2509, 2512, 2513, 2519, 2523, 2529, 2534, 2536 ]);

AFLT( "A9","O8+(2)", [1,5,6,9,10,11,12,22,23,24,18,47,42,48,51,59,52,72,64,
56,66,80,81,107,108,131,144,166,216,149,214,222,264,275,283,176,274,288,295,
298,299,300,302,301,306,310,307,315,324,347,342,316,319,327,391,326,388,407,
357,335,400,408,411,455,725,1239,726,1238,1255,783,1039,684,1257,1313,1304,
1316,1359,1360,1347,1339,1346,1340,1348,1364,1371,1376,1370,1367,1377,1454,
1458,1542,1538,1403,1486,1434,1498,1578,1520,1433,1579,1488,1585,1430,1487,
1525,1485,1391,1501,1502,1602,1609,1608,1606,1614,2986,2985,2022,3139,3040,
3135,3134,3604,3600,3601,3607,3567,3578,3592,3661,3667,3666,3668,3680,3679,
3810,3847,3700,3753,3757,3946,3754,3967,3978,4003,4002,4004,4006,4007,4014,
4017,4023,4024,4634,5956,5864,5941,5943,5926,5934,5871,5896,5973,5981,6108,
6109,6291,6161,6290,6026,6160,6200,6445,6499,6447,6525,6534,6512,6522,7665,
7732,7736,7782,7799,7798,7792,7793,7804,7805,8213,7854,8212,8443,8427,8446,
8455,8452,8462,9228,9227,9197,9308,9331,9343,9342,9674,9679,9678,9961,10147,
10162,10156,10451,10590,10591,10608,10610,10609,10781,10845,10965,11107,
11164]);
AFLT( "A9","O8+(2)", [1,3,6,8,10,11,13,22,29,15,40,46,35,48,49,61,53,71,62,
58,66,80,81,107,106,129,93,166,217,118,232,224,261,281,273,228,266,269,295,
294,299,297,302,303,305,312,309,313,322,341,339,317,321,328,390,326,370,405,
356,334,383,408,409,432,1010,1241,957,1243,1244,987,1032,688,1188,1313,1302,
1308,1359,1361,1344,1336,1343,1334,1348,1363,1374,1372,1369,1366,1377,1453,
1460,1534,1540,1394,1475,1437,1493,1574,1521,1433,1583,1490,1590,1428,1478,
1509,1491,1391,1461,1504,1601,1607,1608,1606,1612,2954,2988,2023,3172,2984,
3177,3176,3602,3596,3599,3607,3560,3571,3566,3659,3665,3662,3668,3675,3677,
3807,3848,3706,3755,3761,3954,3743,3972,3977,4003,4002,4005,4009,4007,4012,
4016,4022,4026,4711,5956,5862,5940,5938,5928,5930,5872,5892,5971,5978,6116,
6113,6299,6162,6294,6022,6123,6198,6444,6497,6448,6524,6532,6509,6515,7664,
7739,7728,7780,7795,7798,7788,7791,7800,7802,8218,7846,8229,8443,8426,8445,
8454,8451,8463,9221,9224,9198,9306,9330,9340,9339,9673,9679,9680,9959,10144,
10161,10155,10449,10593,10581,10606,10611,10609,10783,10844,10963,11105,
11163]);
AFLT( "A9","O8+(2)", [1,4,6,7,10,11,16,29,23,14,39,45,37,48,50,60,54,70,63,
57,66,80,81,106,108,128,92,166,231,119,215,226,260,265,272,230,282,268,295,
293,299,296,303,301,304,311,308,314,320,340,338,318,323,327,389,328,369,404,
355,333,384,408,410,431,956,1242,1009,1240,1245,986,1031,685,1187,1313,1303,
1309,1361,1360,1345,1337,1342,1335,1348,1362,1375,1373,1368,1365,1377,1452,
1459,1532,1539,1395,1492,1434,1495,1573,1522,1437,1584,1477,1591,1427,1489,
1510,1476,1391,1462,1503,1600,1609,1607,1606,1613,2987,2955,2024,3171,2983,
3175,3178,3603,3597,3598,3607,3559,3570,3565,3660,3664,3663,3668,3678,3676,
3808,3849,3705,3744,3760,3953,3756,3971,3976,4005,4002,4004,4006,4009,4013,
4015,4021,4025,4712,5956,5863,5939,5937,5927,5929,5873,5893,5972,5979,6112,
6117,6295,6122,6298,6021,6163,6197,6443,6498,6449,6523,6533,6508,6514,7663,
7740,7729,7781,7799,7795,7789,7790,7801,7803,8228,7845,8219,8443,8425,8444,
8453,8450,8464,9223,9222,9199,9307,9329,9341,9338,9672,9680,9678,9960,10145,
10160,10154,10450,10582,10592,10607,10610,10611,10782,10843,10964,11104,
11162]);

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

#############################################################################
##
#E
Product

Resources

Company
