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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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#############################################################################
##
#W  tmjank.tom           GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmjank.tom,v 4.4 2001/07/05 07:01:14 gap Exp $
##
#Y  Copyright (C)  1997,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the table of marks of the Janko groups.
##
#H  tomlib history
#H  --------------
#H  $Log: tmjank.tom,v $
#H  Revision 4.4  2001/07/05 07:01:14  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.4 of tomlib coincides with Rev. 4.3 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tmjank.tom,v
#H  Working file: tmjank.tom
#H  head: 4.3
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.3.0.10
#H  	GAP4R2PRE2: 4.3.0.8
#H  	GAP4R2PRE1: 4.3.0.2
#H  	GAP4R1: 4.3.0.6
#H  	GAP4B5: 4.3.0.4
#H  	dec16-98b: 4.3
#H  	GAP4b4: 4.3
#H  	version-14-apr: 4.3
#H  	version-15-jun: 4.3
#H  keyword substitution: kv
#H  total revisions: 4;	selected revisions: 4
#H  description:
#H  ----------------------------
#H  revision 4.3
#H  date: 1998/03/27 13:21:05;  author: gap;  state: Exp;  lines: +3 -3
#H  added a few names and fusions
#H  T.Merkwitz
#H  ----------------------------
#H  revision 4.2
#H  date: 1997/11/24 11:16:08;  author: gap;  state: Exp;  lines: +11 -2
#H  added table of marks of "G2(4)" to the library
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:43:33;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 13:00:37;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tmjank_tom :=
    "@(#)$Id: tmjank.tom,v 4.4 2001/07/05 07:01:14 gap Exp $";

SetActualLibFileName("tmjank");
LIBTOM( "J1",
[[1],[1,2],[1,3],[1,2,4],[1,5],[1,2,3,6],[1,2,3,7],[1,2,3,8],[1,9],[1,2,4,
10],[1,2,5,11],[1,2,5,12],[1,2,5,13],[1,14],[1,2,3,4,15],[1,2,3,4,6,7,8,16],[
1,2,9,17],[1,3,5,18],[1,19],[1,2,4,5,11,12,13,20],[1,3,9,21],[1,2,14,22],[1,2,
3,4,8,10,15,23],[1,2,3,5,8,11,18,24],[1,2,3,5,7,12,18,25],[1,2,3,5,6,13,18,
26],[1,2,19,27],[1,2,3,8,9,17,21,28],[1,5,14,29],[1,2,4,9,10,30],[1,3,19,31],[
1,2,3,4,5,6,12,15,32],[1,2,3,4,5,7,12,15,33],[1,2,3,4,5,6,7,8,11,12,13,16,18,
20,24,25,26,34],[1,2,5,13,14,22,29,35],[1,2,3,8,19,27,31,36],[1,2,3,4,5,6,7,8,
10,11,12,13,15,16,20,23,32,37],[1,2,3,4,8,9,10,15,21,23,30,38],[1,2,3,4,5,6,7,
8,12,14,15,16,29,32,33,39],[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],[1,3,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1],[1,7,7,
1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1],[1,3,4,1,1],[1,7,1,3,1,1,1,1],[1,7,1,
1],[1,1,1,1],[1,1],[1,11,5,1,1,1,1,1],[1,7,1,1],[1,11,1,1],[1,7,4,7,4,1,1,1],[
1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,19,1,1],[1,7,7,7,1,1,
1,1],[1,11,1,1],[1,7,7,8,1,1],[1,19,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,
10,6,5,1],[1,23,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,11,11,11,1,1,1,1],[1,19,
19,19,1,1,1,1],[1,31,10,35,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,7,28,7,28,8,1,
7,8,7,1,1],[1,55,55,55,66,55,55,55,66,12,55,55,12,11,11,1],[1,1463,2926,7315,
2926,2926,14630,14630,4180,1045,2926,8778,8778,1596,7315,14630,4180,2926,1540,
8778,4180,1596,7315,2926,2926,2926,1540,4180,1596,1045,1540,1463,2926,2926,
1596,1540,1463,1045,266,1]],
[1,2,3,4,5,6,6,6,7,8,10,10,10,11,12,12,14,15,19,20,21,22,24,30,30,30,38,42,55,
56,57,60,60,60,110,114,120,168,660,175560],
[40,37,34,23,34,34,16,16,28,38,34,20,20,35,23,16,28,34,36,20,28,35,23,34,34,
34,36,28,35,38,36,37,33,34,35,36,37,38,39,40],
[1,1,1,1,1,3,3,1,1,1,5,5,1,1,4,3,9,1,1,5,9,14,4,5,18,3,19,9,14,10,19,32,33,18,
14,19,32,30,39,40],
[(  1,262)(  2,107)(  3, 21)(  4,213)(  5,191)(  6, 22)(  7,133)(  8,234)
(  9,232)( 10,151)( 11,139)( 12,176)( 13,202)( 14,253)( 15,222)( 17,195)
( 18,206)( 19, 68)( 20, 55)( 23,179)( 24,217)( 25,216)( 26,256)( 27, 87)
( 28, 70)( 29,131)( 30, 44)( 31,105)( 32,170)( 33, 77)( 34,104)( 35,198)
( 36,137)( 37,243)( 38, 56)( 39,124)( 40,223)( 41,134)( 43,174)( 46, 51)
( 47,128)( 48, 94)( 49,250)( 50,264)( 52,183)( 53,231)( 54,115)( 57, 85)
( 58,233)( 59,261)( 60, 95)( 61,235)( 62,177)( 63,249)( 64, 91)( 65,247)
( 66,155)( 69,219)( 71,237)( 72,211)( 73, 84)( 74,192)( 75,130)( 76,251)
( 79,260)( 80,112)( 81,193)( 82,156)( 83,242)( 86,238)( 88,143)( 89,168)
( 90,148)( 92,119)( 93,212)( 96,150)( 97,199)( 98,140)( 99,189)(100,180)
(101,147)(102,111)(103,159)(106,162)(108,194)(109,166)(110,200)(113,120)
(114,141)(116,182)(117,181)(118,225)(121,254)(122,125)(123,146)(126,208)
(127,221)(129,210)(132,255)(136,175)(138,207)(142,240)(144,172)(145,185)
(149,224)(152,169)(153,241)(154,190)(157,214)(158,161)(160,236)(163,239)
(164,229)(165,230)(167,188)(171,258)(173,186)(178,245)(184,205)(187,228)
(197,203)(201,252)(209,248)(215,259)(218,246)(220,227)(257,263)(265,266),
(  1,146, 21)(  2,132, 82)(  4,156,166)(  5,242,253)(  6,107, 28)(  7,125, 76)
(  8,245,130)(  9,174, 42)( 10,241,244)( 11,264, 63)( 12,248,234)( 13, 36, 44)
( 14,116,128)( 15, 47, 25)( 16,178,112)( 17,170,110)( 18,197, 74)( 19,233,180)
( 20,121, 96)( 22,228,155)( 23, 48,173)( 24,201,187)( 26,136,190)( 27,212, 94)
( 29,175, 52)( 30, 77, 32)( 31,237, 34)( 33,226, 90)( 35,129, 54)( 37,161,114)
( 38,232, 87)( 39,219,192)( 40, 78,159)( 41,139, 71)( 43,211,251)( 45,222,240)
( 46, 97,135)( 49, 70,131)( 50,153,200)( 51,186,209)( 53,203,216)( 55,169, 64)
( 56,140,230)( 57,260,118)( 58, 91,243)( 59,199,227)( 60,108,164)( 61,208,101)
( 62,206,106)( 65,103, 66)( 67, 95,205)( 68, 73,225)( 69,151,113)( 72,221,152)
( 75,143,202)( 79,217,254)( 80, 93,122)( 81,181,252)( 83,258,126)( 84,163,177)
( 85,154,213)( 86,182,196)( 88,133,215)( 89,117,247)( 92,191,160)( 99,229,263)
(100,138,188)(102,194,157)(105,149,184)(109,123,193)(111,137,183)(115,238,235)
(119,167,147)(120,134,189)(124,185,265)(127,218,261)(141,231,210)(142,239,236)
(144,224,249)(145,158,220)(148,214,172)(150,250,259)(162,257,256)(165,179,246)
(176,195,266)(198,204,207)(223,262,255)],
[[[[]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[3,1,1,
1,2,-1,1,1,2,1,1,1,3,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[3,1,2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-1,1,-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,
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],[3,1,4,-1,
3,1,4,1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,4,-1,3,-1,4,1,3,-1,4,-1]]],[[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,-1,1,-1,2,-1,1,1,
2,1,1,-1,2,-2,3,3]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,4,1],[5,2,3,-1,4,1,5,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,
-1,2,1,1,-1],[3,-1],[3,1,4,1,5,1,4,-1,3,1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,
1,4,1],[5,2,3,-1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,
2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,-1],[5,1,4,-1,3,1,4,-1,5,1,4,
1]]],[[[1,1,2,-1,1,1,2,1,1,1],[2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,-1,2,
-1],[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,-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]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2,4,1],[7,1,5,-1,2,1,6,2,7,1,5,-1,2,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,3,2,4,1,2,1,4,1,6,1,5,
1,3,1,4,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[3,2],[2,1,4,1,6,1,5,
-1,4,1,7,-1,6,1,5,1,7,1,4,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,2,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,1,3,-1,
4,1,3,-1,4,1,3,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-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],[4,1,3,1,4,-1,3,-1,4,1,3,-1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,-1,1,
-1,2,-1,1,1,2,1,1,-1,2,-2,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,
1,2,1,1,1,2,1,1,1],[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,4,1,3,-1,4,1]]],[[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1],[3,-1,4,-1,3,1,4,-1,3,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,
2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,-1,4,1,
3,-1,4,1,3,1,4,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,4,1],[4,-1,3,1,5,-1,4,1,5,1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,
-1,1,-1,2,1,1,-1],[4,1,3,-1,4,1,3,-1,4,-1,3,1,4,1]]],[[[1,1,2,-1,1,1,2,1,1,
1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[3,1,1,1,2,
-1,1,1,2,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,-1,3,1,1,1,4,
1]]],[[[1,1,2,-1,1,1,2,1,1,1],[2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,-1,2,
-1],[3,1,4,1,3,1,4,-1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,4,2,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,-1,2,-1,1,1,
2,1,1,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1],[3,1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,
-1,2,-1,1,1,2,1,1,-1,2,-1,3,1]]],[[[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2]],[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,-1,2,-1,1,-1,2,-1,
1,1,2,1,1,-1,2,-2,3,1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,1,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1],[3,1,4,-2,5,1,6,-1,3,2,4,-1,5,1,6,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1,3,-1,4,1,5,-1,6,-2,5,1,3,1,4,-2]]],[[[1,
1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,3,-2,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[7,1,4,1,3,-1,4,1,5,-1,6,-1,7,1,6,-1,4,-1,
3,-2,5,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,
1,1,-1,2,-1],[3,-1,1,1,2,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1]]],[[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,2]],[[2,-1,1,-1,2,-1,1,1,2,1,
1,-1,2,-2,1,-1,2,-1,1,-1,2,-1,1,-1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,1,1,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-1,4,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
1]],[[1,1,2,-1,1,1,2,1,1,1],[3,1,2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,-1,
2,-1,3,1]]],[[[1,1,2,-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]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[1,
1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[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,-1,1,-1,2,1,1,-1],[3,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,-2,1,-1,2,-1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,-2,1,-1,2,-1],[3,
1,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,1,1,3,
-1,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,4,2,3,1,4,1,3,1,1,1,2,1,
1,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,
1]],[[2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,-1,1,
1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,
1,1,1,2,-1,1,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-1,3,2,4,-1,1,1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1],[3,2,2,-1,1,1],[5,1,4,-1,2,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1],[3,2],[5,1,6,1,4,2,6,-1,2,1,1,1,5,-1]]],[[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,-2,1,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,
-1]]],[[[1,1]],[[2,1]]]]);
ACLT( "J1",
"sortperm",( 6, 7, 8)(11,13,12)(15,16)(24,25,26));
ACLT( "J1",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,4,-1,3,1,4,-1]]],,,,,,[[[1,1]],[[1,1,2,1],[3,
2],[4,1,2,1],[4,1,5,17],[4,1,5,3],[6,-1,1,1,7,-1,2,1,7,1,6,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,3,-1,4,1,2,1,1,1,2,-1,3,2,4,-1],[5,2]],[[1,1,2,1],[2,1,1,1],[1,
1,2,-1],[3,2],[6,1,4,1,5,-1,2,-1,6,1,4,-1,5,1],[7,3]]],[[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,3,1,4,-1,3,2,4,-1]]],[[[1,1]],[[1,1,2,1],[3,
2],[4,1,2,1],[3,1,5,4],[6,-1,3,1,5,1,4,1,2,1,3,1,5,1,4,1,2,1,3,1,5,1,4,1,2,1,
6,1]]],[[[1,1,2,1],[3,3,2,1,3,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,5],[5,-1,2,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,1,1,2,-1,3,1,1,1,4,1],[5,5],[6,
5]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,1,3,1]]]]);






LIBTOM( "J2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,3,7],[1,3,8],[1,2,3,9],[1,2,10],[1,
11],[1,12],[1,2,5,13],[1,3,4,14],[1,3,5,15],[1,2,4,16],[1,3,5,17],[1,18],[1,2,
10,19],[1,2,6,10,20],[1,2,3,9,10,21],[1,2,3,6,9,22],[1,2,3,7,8,9,23],[1,2,6,
10,24],[1,2,10,25],[1,4,5,26],[1,2,11,27],[1,3,12,28],[1,3,12,29],[1,3,11,
30],[1,3,11,31],[1,2,12,32],[1,3,4,7,33],[1,2,5,6,34],[1,2,5,6,35],[1,3,5,7,
36],[1,3,5,8,37],[1,2,4,6,16,38],[1,3,5,7,17,39],[1,2,4,10,16,40],[1,2,3,4,9,
14,16,41],[1,2,3,5,9,13,15,17,42],[1,3,5,8,15,17,43],[1,3,18,44],[1,4,11,45],[
1,2,3,6,7,8,9,22,23,46],[1,2,6,10,19,24,47],[1,2,6,10,24,48],[1,2,6,10,19,20,
24,49],[1,2,3,6,9,10,21,22,24,50],[1,2,3,6,9,10,22,24,51],[1,2,6,10,24,25,
52],[1,2,3,9,10,19,21,25,53],[1,2,3,6,9,10,20,21,25,54],[1,2,4,5,13,16,26,
55],[1,3,7,11,31,56],[1,2,3,9,11,27,30,31,57],[1,3,8,11,30,31,58],[1,2,3,9,12,
28,29,32,59],[1,5,18,60],[1,2,4,10,16,19,61],[1,2,5,6,10,13,20,35,62],[1,2,3,
5,7,8,9,13,15,17,23,39,42,43,63],[1,2,4,6,10,16,20,38,40,64],[1,2,3,4,7,8,9,
16,23,33,65],[1,2,3,5,6,9,17,22,34,66],[1,2,3,4,9,10,14,16,21,40,41,67],[1,2,
4,10,16,25,40,68],[1,11,12,69],[1,4,5,26,70],[1,2,4,11,16,27,45,71],[1,3,4,11,
14,30,45,72],[1,3,4,11,14,31,45,73],[1,2,6,10,19,20,24,47,49,74],[1,2,3,6,7,8,
9,10,21,22,23,24,46,50,51,75],[1,2,3,6,9,10,19,21,22,24,47,48,50,51,76],[1,2,
6,10,19,24,25,47,52,77],[1,2,6,10,19,20,24,25,48,49,52,78],[1,2,3,6,9,10,19,
20,21,22,24,25,49,50,52,53,54,79],[1,2,4,5,6,16,26,34,35,38,80],[1,3,4,5,7,17,
26,33,36,39,81],[1,2,3,7,8,9,11,23,27,30,31,56,57,58,82],[1,3,5,17,18,44,60,
83],[1,2,3,5,6,7,8,9,22,23,34,36,46,84],[1,2,3,5,6,7,8,9,22,23,35,36,37,46,
85],[1,2,4,6,10,16,19,20,24,40,49,61,86],[1,2,3,5,6,7,8,9,17,22,23,34,39,46,
66,87],[1,2,3,4,6,7,8,9,16,22,23,33,38,46,65,88],[1,2,3,4,9,10,14,16,19,21,25,
41,53,61,89],[1,2,4,6,10,16,19,24,38,47,61,90],[1,2,5,6,10,24,35,48,91],[1,2,
3,4,6,9,10,14,16,20,21,25,38,40,41,54,64,67,68,92],[1,3,11,12,29,30,69,93],[1,
2,11,12,27,32,69,94],[1,3,11,12,28,31,69,95],[1,2,4,5,13,16,26,55,70,96],[1,2,
5,6,11,13,27,34,97],[1,3,4,7,12,14,28,33,98],[1,3,5,8,12,15,29,37,99],[1,3,4,
7,11,31,33,45,56,100],[1,2,3,4,9,11,14,16,27,30,31,41,45,57,71,72,73,101],[1,
2,3,6,7,8,9,10,19,21,22,23,24,46,47,48,50,51,75,76,102],[1,2,3,6,9,10,19,20,
21,22,24,25,47,48,49,50,51,52,53,54,74,76,77,78,79,103],[1,2,3,6,9,10,19,21,
22,24,25,47,48,50,51,52,76,77,104],[1,2,3,4,5,7,8,9,13,15,16,17,23,26,33,36,
39,42,43,55,63,65,81,105],[1,2,4,5,6,10,13,16,20,26,34,35,38,40,55,62,64,80,
106],[1,5,11,12,69,107],[1,2,4,6,10,16,19,20,24,38,40,47,49,61,64,74,86,90,
108],[1,2,3,4,6,9,10,14,16,19,20,21,22,24,25,40,41,49,50,52,53,54,61,67,79,86,
89,109],[1,2,3,5,6,7,8,9,10,17,21,22,23,24,34,36,46,50,51,66,75,84,110],[1,2,
4,6,10,16,19,20,24,25,40,48,49,52,61,68,78,86,111],[1,2,5,6,10,13,19,20,24,25,
35,48,49,52,62,78,91,112],[1,2,3,9,11,12,27,28,29,30,31,32,57,59,69,93,94,95,
113],[1,2,4,5,10,13,16,26,40,55,70,96,114],[1,2,3,5,6,9,11,13,15,17,22,27,30,
31,34,42,57,66,97,115],[1,2,3,4,7,8,9,12,14,16,23,28,29,32,33,41,59,65,98,
116],[1,2,3,4,7,8,9,11,16,23,27,30,31,33,45,56,57,58,65,71,82,100,117],[1,2,3,
6,7,8,9,10,19,20,21,22,23,24,25,46,47,48,49,50,51,52,53,54,74,75,76,77,78,79,
102,103,104,118],[1,2,3,4,5,6,7,8,9,16,17,22,23,26,33,34,35,36,37,38,39,46,65,
66,80,81,84,85,87,88,119],[1,2,5,11,12,13,27,32,69,94,107,120],[1,3,5,11,12,
15,28,31,69,95,107,121],[1,3,5,11,12,17,29,30,69,93,107,122],[1,2,6,10,12,19,
20,24,32,47,49,74,123],[1,2,5,6,10,13,18,20,35,60,62,124],[1,2,4,5,6,11,13,16,
26,27,34,35,38,45,55,71,80,97,125],[1,2,3,4,6,7,8,9,10,16,19,21,22,23,24,33,
38,46,47,48,50,51,61,65,75,76,88,90,102,126],[1,2,3,5,6,7,8,9,10,19,21,22,23,
24,35,36,37,46,47,48,50,51,75,76,85,91,102,127],[1,2,3,5,6,7,8,9,10,17,19,21,
22,23,24,34,36,39,46,47,48,50,51,66,75,76,84,87,102,110,128],[1,2,3,4,6,9,10,
14,16,19,20,21,22,24,25,38,40,41,47,48,49,50,51,52,53,54,61,64,67,68,74,76,77,
78,79,86,89,90,92,103,108,109,111,129],[1,2,4,5,10,13,16,25,26,40,55,68,70,96,
114,130],[1,2,3,5,6,7,8,9,11,13,15,17,22,23,27,30,31,34,39,42,43,46,56,57,58,
63,66,82,87,97,115,131],[1,3,4,7,11,12,14,28,31,33,45,56,69,73,95,98,100,
132],[1,2,3,5,9,11,12,13,15,17,27,28,29,30,31,32,42,57,59,69,93,94,95,107,113,
120,121,122,133],[1,2,3,6,9,10,12,19,20,21,22,24,25,28,29,32,47,48,49,50,51,
52,53,54,59,74,76,77,78,79,103,123,134],[1,2,3,5,6,9,10,13,15,17,18,20,21,25,
35,42,44,54,60,62,83,124,135],[1,2,3,5,6,7,8,9,10,13,19,20,21,22,23,24,25,35,
36,37,46,47,48,49,50,51,52,53,54,62,74,75,76,77,78,79,85,91,102,103,104,112,
118,127,136],[1,2,3,4,6,7,8,9,10,16,19,20,21,22,23,24,25,33,38,40,46,47,48,49,
50,51,52,53,54,61,64,65,74,75,76,77,78,79,86,88,90,102,103,104,108,118,126,
137],[1,2,3,4,5,6,7,8,9,10,16,17,19,21,22,23,24,26,33,34,35,36,37,38,39,46,47,
48,50,51,61,65,66,75,76,80,81,84,85,87,88,90,91,102,110,119,126,127,128,138],[
1,2,3,4,7,8,9,11,12,14,16,23,27,28,29,30,31,32,33,41,45,56,57,58,59,65,69,71,
72,73,82,93,94,95,98,100,101,113,116,117,132,139],[1,2,3,4,5,6,7,8,9,11,13,15,
16,17,22,23,26,27,30,31,33,34,35,36,37,38,39,42,43,45,46,55,56,57,58,63,65,66,
71,80,81,82,84,85,87,88,97,100,105,115,117,119,125,131,140],[1,2,4,5,6,10,11,
13,16,20,26,27,34,35,38,40,45,55,62,64,70,71,80,96,97,106,114,125,141],[1,2,3,
4,5,6,7,8,9,10,13,16,17,19,20,21,22,23,24,25,26,33,34,35,36,37,38,39,40,46,47,
48,49,50,51,52,53,54,55,61,62,64,65,66,74,75,76,77,78,79,80,81,84,85,86,87,88,
90,91,102,103,104,106,108,110,112,118,119,126,127,128,136,137,138,142],[1,2,3,
4,6,7,8,9,10,12,14,16,19,20,21,22,23,24,25,28,29,32,33,38,40,41,46,47,48,49,
50,51,52,53,54,59,61,64,65,67,68,74,75,76,77,78,79,86,88,89,90,92,98,102,103,
104,108,109,111,116,118,123,126,129,134,137,143],[1,2,3,4,5,6,9,10,11,13,14,
16,20,21,25,26,27,30,31,34,35,38,40,41,45,54,55,57,62,64,67,68,70,71,72,73,80,
92,96,97,101,106,114,125,130,141,144],[1,2,4,5,6,10,13,16,18,19,20,24,25,26,
35,40,48,49,52,55,60,61,62,68,70,78,86,91,96,111,112,114,124,130,145],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,1],[1,
1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,1,3,1],[1,
5,2,1,1],[1,1,4,2,1,1],[1,3,4,1,6,1],[1,1,6,1,3,3,1],[1,3,1,2,1],[1,1,1,1],[1,
1,3,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,
1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,7,1,
1],[1,1,1,1],[1,3,12,1,4,12,18,3,12,1],[1,3,1,6,4,3,1],[1,3,1,6,3,1],[1,7,3,4,
1,3,3,1],[1,3,8,1,12,2,4,2,1,1],[1,3,4,1,6,4,1,2,1],[1,3,1,2,1,2,1],[1,1,4,2,
3,1,1,1,1],[1,5,4,2,2,1,1,1,1,1],[1,3,1,3,1,3,1,1],[1,3,1,1,3,1],[1,5,6,5,1,1,
1,1,1],[1,11,5,1,2,1,1],[1,1,10,5,1,1,1,1,1],[1,7,1,1],[1,1,4,3,4,1,1],[1,9,4,
4,3,4,3,1,1],[1,3,12,1,1,9,9,1,3,3,3,1,3,3,1],[1,5,1,2,1,5,1,2,1,1],[1,1,6,4,
1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,12,1,6,1,4,1,3,1,2,1],[1,1,1,1,1,3,
1,1],[1,3,3,1],[1,1,12,4,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,
1,1],[1,11,5,10,10,10,15,5,10,1],[1,3,16,1,4,12,24,6,12,4,12,3,1,3,3,1],[1,3,
8,1,12,10,4,4,2,5,1,1,1,4,1],[1,3,1,6,4,3,4,1,2,1],[1,7,3,8,1,3,5,2,1,1,1,1],[
1,7,8,3,12,4,1,3,4,2,3,2,1,1,1,2,2,1],[1,3,1,12,1,3,4,2,1,1,1],[1,3,4,9,1,3,4,
1,2,1,1],[1,5,18,1,15,15,1,5,1,3,3,1,3,3,1],[1,7,7,7,1,1,1,1],[1,3,12,16,1,4,
12,18,3,12,4,16,1,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,1,1],[1,7,4,3,4,4,1,3,3,
4,1,1,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,
4,1,3,1],[1,1,12,4,6,3,8,4,1,3,3,4,3,1,1],[1,3,4,1,6,12,4,3,4,1,1,1],[1,3,16,
1,6,3,4,1,1],[1,5,12,1,2,6,1,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,25,3,3,15,15,1,1],[
1,5,3,3,1,5,1,1],[1,5,3,3,1,5,1,1],[1,9,1,12,12,9,4,12,1,1],[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],[1,3,4,1,1,3,1,4,1,1],[1,5,
18,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[1,3,24,1,8,24,36,18,12,36,6,24,9,2,3,3,9,
18,6,9,1],[1,11,8,5,12,14,10,10,4,2,17,4,5,1,10,1,4,2,4,4,1,1,1,2,2,1],[1,3,8,
1,12,10,4,4,2,5,8,1,1,1,4,4,1,2,1],[1,3,12,4,9,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,
1,3,1,1],[1,9,1,12,4,3,4,9,3,4,2,1,4,3,4,1,3,1,1],[1,25,3,3,1,1],[1,11,4,5,10,
20,10,10,15,8,4,5,10,1,4,1,1,2,1],[1,7,24,4,3,36,4,16,4,1,3,12,6,3,6,4,8,1,3,
3,6,6,1,4,3,1,2,1],[1,3,16,16,1,4,12,24,6,16,12,4,12,3,4,16,1,3,3,4,1,1,1],[1,
7,4,3,16,4,1,3,9,6,4,3,1,3,1,4,3,1,1],[1,15,16,7,12,16,3,9,9,6,4,1,3,3,4,3,1,
1],[1,5,30,25,3,3,1,1,15,15,5,5,5,5,1,1,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,
1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,5,15,15,6,20,
10,5,6,6,6,5,10,6,5,1,1],[1,5,18,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[
1,11,24,5,8,24,36,22,18,10,36,6,24,21,12,2,7,3,10,9,18,6,12,12,1,6,9,3,6,6,1,
3,3,1],[1,3,12,4,36,1,4,12,18,12,12,3,12,16,1,5,4,20,12,4,4,1,3,3,4,4,1,1,1,1,
1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,25,25,3,3,
25,15,15,1,1,1,1],[1,11,5,10,16,10,10,15,16,5,10,1,1],[1,21,28,14,21,28,8,21,
14,8,14,1],[1,15,1,30,5,6,10,15,10,6,10,5,5,6,10,6,5,1,1],[1,3,24,16,1,8,24,
36,18,48,12,36,6,24,9,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,3,24,64,1,8,24,
36,18,12,36,6,24,9,16,32,96,2,3,3,9,18,6,9,8,12,1,1],[1,3,24,16,1,8,24,36,18,
48,12,36,6,24,9,4,16,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,11,24,4,5,36,22,16,20,
10,10,12,6,21,12,8,4,8,5,3,10,3,12,6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,
1],[1,9,1,12,9,12,9,27,4,9,12,9,1,1,1,1],[1,15,48,10,5,16,60,90,6,10,30,30,15,
60,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,15,10,5,13,18,10,6,15,5,
10,5,6,10,6,1,5,1],[1,15,40,25,75,3,3,25,25,25,3,3,15,15,15,15,25,15,15,1,1,3,
3,1,3,1,1,1,1],[1,11,40,5,60,30,16,10,10,20,10,25,20,16,16,16,5,5,10,5,20,10,
20,20,16,1,5,5,10,10,5,1,1],[1,21,28,28,14,42,21,28,28,28,8,21,21,21,14,28,8,
21,8,14,8,1,1],[1,27,24,64,13,8,24,36,30,64,30,30,36,6,24,45,36,16,32,96,2,15,
3,30,9,18,18,36,36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,11,24,16,5,8,24,
36,22,80,18,10,36,6,24,21,12,8,32,16,2,7,3,10,9,18,6,12,12,12,16,24,1,6,9,3,6,
6,4,8,16,1,3,3,4,1,1,1],[1,3,24,16,96,1,8,24,36,18,48,96,12,36,6,24,9,64,8,8,
16,64,96,16,32,2,3,3,9,18,12,24,24,6,9,16,32,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,
5,90,10,5,75,75,13,18,60,50,25,1,6,90,75,15,30,5,50,10,5,15,15,30,25,6,10,10,
10,5,6,6,6,1,5,10,6,5,5,1,1],[1,15,48,4,90,5,16,60,90,6,10,30,60,30,15,60,40,
6,18,18,1,25,20,80,60,20,10,30,30,24,5,40,6,18,18,10,15,15,24,20,10,6,5,5,5,5,
1,6,10,3,6,5,4,1,1],[1,45,1,120,30,45,36,120,45,45,40,36,60,30,30,45,36,120,
30,45,10,36,30,10,12,30,10,12,1],[1,27,24,16,96,13,8,24,36,30,64,144,96,30,30,
36,6,24,45,36,64,8,8,16,64,96,64,32,48,2,15,3,30,9,18,18,36,36,64,12,16,48,24,
24,3,6,9,9,18,18,16,32,2,8,12,8,8,24,12,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[
1,11,120,40,5,40,120,180,70,96,160,200,50,10,180,30,120,45,60,96,96,96,40,80,
40,80,10,15,15,10,45,90,30,60,60,96,50,40,120,40,40,1,30,45,15,30,30,10,40,20,
60,40,16,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,45,108,1,120,30,270,45,36,120,
36,45,45,135,135,40,36,108,108,60,30,30,45,90,36,135,120,108,30,45,45,45,10,
36,36,36,30,45,10,12,36,30,10,12,10,1,1],[1,63,28,336,63,252,336,252,288,63,
189,189,378,112,252,252,63,63,189,336,288,63,252,252,28,189,63,63,28,63,63,28,
36,28,1],[1,315,2520,280,8400,525,840,12600,18900,3150,1008,6048,8400,10080,
25200,12600,25200,14400,3150,3150,18900,3150,12600,4725,18900,11200,1008,6048,
30240,15120,15120,30240,840,4200,8400,16800,50400,8400,8400,12600,25200,25200,
25200,14400,10080,1050,1575,1575,3150,4725,9450,9450,18900,18900,33600,5040,
15120,15120,30240,14400,3150,8400,8400,12600,12600,12600,12600,12600,2016,
2800,10080,10080,10080,315,3150,4725,4725,9450,9450,8400,8400,5040,14400,1050,
4200,3150,4200,4200,6300,6300,6300,12600,2016,6048,6048,2800,840,1008,10080,
5040,10080,525,4725,4725,8400,8400,2016,3150,3150,3150,3150,6300,6048,2800,
2520,5040,5040,1575,4200,2016,2016,2016,1890,1800,3360,525,525,1050,3150,2800,
840,1008,2016,1890,1800,525,1575,525,1008,840,280,525,315,280,100,1]],
[1,2,2,3,3,4,4,4,4,4,5,5,6,6,6,6,6,7,8,8,8,8,8,8,8,9,10,10,10,10,10,10,12,12,
12,12,12,12,12,12,12,12,12,14,15,16,16,16,16,16,16,16,16,16,18,20,20,20,20,21,
24,24,24,24,24,24,24,24,25,27,30,30,30,32,32,32,32,32,32,36,36,40,42,48,48,48,
48,48,48,48,48,48,50,50,50,54,60,60,60,60,60,64,64,64,72,72,75,96,96,96,96,96,
100,108,120,120,120,128,144,150,150,150,160,168,180,192,192,192,192,216,240,
300,300,320,336,384,384,576,600,720,1080,1152,1920,2160,6048,604800],
[146,143,131,144,105,142,140,85,75,129,139,113,105,101,63,92,63,83,129,129,79,
128,88,118,79,96,139,113,59,82,82,59,140,119,106,81,37,106,105,92,67,63,63,83,
101,138,137,136,129,118,102,103,79,79,55,117,82,82,59,83,129,106,105,92,88,87,
92,92,133,130,101,101,101,143,128,118,118,103,103,106,105,117,83,138,119,129,
119,119,109,108,112,92,133,113,113,130,140,139,99,117,101,142,118,118,105,106,
133,129,129,128,129,112,113,130,131,116,117,137,119,133,133,133,134,135,125,
142,142,138,129,130,140,139,133,134,135,142,137,142,139,140,144,142,143,144,
145,146],
[1,1,1,1,1,1,1,1,1,1,1,1,5,4,5,1,1,1,2,2,2,1,1,1,1,1,11,12,12,11,1,1,7,6,6,7,
8,1,1,1,4,5,5,18,1,1,2,1,2,2,2,2,10,10,5,1,11,11,12,18,19,35,5,2,7,6,16,4,1,4,
11,45,4,2,6,6,6,10,10,6,7,11,18,46,46,19,6,7,61,19,48,40,69,11,12,70,97,98,99,
7,45,6,24,24,39,35,69,19,61,46,61,91,69,70,97,98,56,47,46,107,107,69,74,124,
97,102,102,46,86,70,97,98,107,123,124,127,102,102,132,131,141,127,143,141,145,
146],
[(  1, 19)(  2, 64)(  3, 79)(  4, 69)(  5, 59)(  6, 45)(  7, 25)(  8, 84)
(  9, 34)( 10, 18)( 11, 43)( 12, 89)( 13, 30)( 14, 26)( 15, 51)( 16, 67)
( 17, 47)( 20, 87)( 21, 81)( 22, 96)( 23, 58)( 24, 86)( 27, 68)( 28, 52)
( 29, 83)( 31, 73)( 32, 49)( 33, 70)( 35, 54)( 36, 62)( 37, 66)( 38, 88)
( 39,100)( 40, 42)( 41, 99)( 44, 74)( 46, 80)( 48, 93)( 50, 72)( 53, 63)
( 55, 85)( 56, 92)( 57, 60)( 61, 82)( 65, 78)( 71, 98)( 75, 94)( 76, 97)
( 77, 90)( 91, 95),(  1, 78, 36)(  2, 72, 91)(  3, 82, 44)(  4,  7, 69)
(  5, 33, 73)(  6, 18, 57)(  8, 23, 32)(  9, 51, 26)( 10, 30, 89)( 11, 55, 84)
( 12, 42, 96)( 13, 60,100)( 14, 81, 53)( 15, 16, 79)( 17, 65, 29)( 19, 39, 71)
( 20, 83, 31)( 21, 61, 66)( 22, 43, 76)( 24, 98, 97)( 25, 77, 62)( 27, 68, 41)
( 28, 93, 63)( 34, 70, 52)( 35, 80, 94)( 37, 99, 67)( 38, 50, 56)( 40, 90, 47)
( 45, 46, 75)( 48, 85, 87)( 54, 64, 92)( 58, 59, 86)],
[[[[]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,3,2,1,3,-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],[3,1,1,1],[1,1,4,
1,3,-2,4,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,-4]]],[[[2,
-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,3,2,1,3,-1,2,-1]],[[1,1,
2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1],[2,-1,3,1],[4,1,3,1,5,2,4,1]]],[[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,1,1,1,4,
-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,
1,1],[5,1,4,-1,1,1,4,1,1,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,
1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[4,1,3,2,1,1,4,2]]],[[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,1,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[3,2,1,1,3,1,1,1,
4,2]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,1],[4,1,3,1,2,1,4,
-1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,
1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1,4,1,3,-1,4,1,3,-1,4,1]]],[[[2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[1,1,
3,-1,1,1,4,1,5,-1,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,
1,2,-1,3,1,2,-1,3,1,2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1],[
4,1,3,3,2,1,3,-1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[1,1,3,-2,1,1,3,2,1,1]]],[[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1],[4,1,3,-1,4,1,3,
-2]],[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,1,1,1],[3,-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,-1,2,1,1,-1],[2,-1,3,3,2,1,3,-1,2,1]]],[[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1],[4,1,3,1],[4,1,5,2,3,2]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1],[2,-1,3,2],[2,1,4,-2]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[
3,1,2,-1,3,1],[4,2,2,1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1],[3,
1,2,-1],[4,1,3,1,5,-1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[
3,1,2,-1,3,1,2,-1,3,1,2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,
3,1,2,-1,3,-1,2,1,3,-2,2,-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,-2],[3,1,1,1],[1,1,3,-1,4,-1,1,1,4,2]],[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,3,3,2]]],[[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,1,1]],[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,-1,1,1,4,1]],[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[5,1,4,
1,3,1,5,-1,4,-1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[1,1,3,-2,1,1,3,2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,
1,1,-1,2,-2],[3,2],[1,1,4,1],[3,1,1,1,5,-1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1],[2,-1,3,1],[4,1,2,-1,4,-1,3,1,2,1,3,-1,4,1]],[[1,1,2,1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,3,-1,2,1,3,-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],[2,1],[2,-1,3,-2,4,1,3,1,2,
-1,3,1,4,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1,3,-1,2,1,3,
-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1],[4,1,3,2,2,1,3,-1,4,
-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[5,1,3,1,4,1,3,1,4,1,5,1]],[[1,1,2,-1,1,1,2,-1,
1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,4,
1],[4,1,3,1],[5,2,6,2,4,1,6,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,
2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,1,1,1,4,-1]]],[[[1,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[1,1,3,-1,1,
1,4,1,5,-1,4,-1,5,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[4,1,3,1],[4,-1,5,-1,3,1,4,1,5,-1,4,
-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,
1,1,2,-1,1,1,2,1],[3,1,4,1],[3,1,4,-1,5,1,3,1,4,-1,5,1,3,1]]],[[[1,1,2,-1,1,1,
2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[
3,1,4,1],[4,1,3,1],[3,1,5,-1,6,1,4,1,6,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[4,3,3,-2,1,1]]],[[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,-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,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,
-1],[4,-1,3,4,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[
3,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,1]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,-3]]],[[[1,1,2,1,1,1,2,-1,1,-1,
2,1,1,-1,2,1,1,-1],[3,1,2,-1],[4,2,3,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1],[3,3,2,1,3,-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],[3,2,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1],[3,2],[4,1,5,-2,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,-1,
3,-1,4,1,3,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,
2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,-1,3,1,4,-1,3,-1,4,-1]]],[[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,1,1]],[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[
5,1,4,1,1,1,5,1,4,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,3,4,1,3,1,4,-1]],[[
2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,
-1,1,1,2,-1,1,-1,2,1,1,-1],[4,1,3,2,4,-1,3,-2]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,
1,-1,2,1,1,-1],[2,-1,3,-1,2,-1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,
2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,-2,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[4,1,5,-2,4,-1,5,
-1]]],[[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1]],[[2,2,1,1,2,-1,1,-1,2,1,1,1,
2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1],[3,
1,4,1],[5,1,3,-2,5,-1,4,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,
-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1],[5,1,4,1,3,-1,4,1,3,1,4,1,5,-1]]],[[[2,
2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,-1,1,1,2,-1,1,1,
2,1,1,1,2,-1,1,1,2,1,1,1,3,1]],[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1],[4,1,3,-2,4,1,3,-2,4,
1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,2,5,-2,4,-1]]],[[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-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,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[
4,3,3,2,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[
3,2],[3,1,1,1],[5,1,4,1,1,1,4,-1,5,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,
2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,2,4,1,3,-1,1,1]]],[[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,1,1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[1,1,3,1],[4,1,5,1,4,
1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[
3,1,1,1],[4,-1,5,-1,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[
3,1,2,-1,3,1],[4,2,2,1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,
1],[4,1,2,1,3,-1,4,1,3,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,3,
2,1,3,-1,2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,1],[4,1,3,
1,2,1,4,-1,3,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,-3,2,1,3,
2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,
3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,
-3,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[
4,-1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[3,2],[1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,
1,-1],[2,1,3,2,2,-1,3,1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,1,
3,-1,2,-1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,
3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,1,3,-2,4,1,3,-1,4,-1]]],[[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,1,1]],[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[4,1,3,-1,1,1,4,1,3,
-1]]],[[[2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,3,2,1,3,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1],[4,1,3,-1,4,1],[6,1,3,-1,5,-1,6,1,
5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1],[3,1,4,1],[6,1,5,1,4,1,3,-1,4,1,5,1,6,
-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,1,2,-1,1,1,2,1],[4,1,3,1,4,1,3,1,4,-1,3,1,4,-1]],[[1,1,2,-1,1,1,2,-1,1,1,
2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[
4,1,3,1],[3,1,5,-1,6,1,4,1,6,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,
2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1,3,
-1,4,1,3,1,4,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,
2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1],[5,2,3,-1,4,1,3,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,
-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,
1,3,-1,1,1],[4,1,3,1,1,1,3,-2,4,-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1],[2,-1,3,-1,2,1,3,2]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1,3,-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],[3,-4]],[[1,1,2,1,
1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,1],[4,1,3,1,2,1,4,-1,3,-1]]],[[[1,1,
2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,1,3,-1,2,-1,3,2]],[[1,1,2,1,1,1,2,
-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,3,1,2,-1,3,1,2,-1]],[[1,1,2,1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1],[2,1],[2,-1,3,1],[4,1,3,1,5,2,4,1]]],[[[2,1,1,1,2,-1,1,
-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,
-1,1,-1],[4,1,3,1,4,1],[5,1,3,-1,5,1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,
1,4,1],[5,1,3,-1,5,-2,4,1,3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1],[4,
1,3,1],[3,-1,6,2,4,1,5,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,
1,1,-1,2,-2],[1,1,3,-3,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,
1,1,-1,2,-2],[1,1,3,-1,1,1,3,1,1,1,3,2]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,-1,2,-1,1,1,2,1,1,-1,2,-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,-2],[1,1,3,1],[3,2,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,
1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,
1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,1,3,-1,4,-1,3,3]]],[[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,-2,4,1]]],[[[1,1,2,
1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,-1,3,1,2,-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],[2,1],[2,-1,3,-2,4,1,3,1,2,-1,3,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[2,1,4,1,3,-1,2,-1,4,-1,3,-2,2,1,1,1],[
6,1,5,1,6,-1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[6,1,3,
1,4,-1,5,1,6,-1,7,1,2,-1,3,1,4,-2,5,1,6,-1,7,-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,
1,1,-1,2,1,1,-1],[2,-1,3,2,2,-1,3,-1,2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,
2,1,1,-1],[3,1,2,-1,3,3,2,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,
1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1,4,1,3,-1,4,1,
3,-1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1],[4,1,5,1,3,-1],[5,1,6,-2]]],[[[
1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,
-1,1,1,2,1],[4,1,3,1],[4,-1,5,-1,3,1,4,1,5,-1,4,-1]],[[1,1,2,-1,1,1,2,-1,1,1,
2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[
4,1,3,1],[6,1,5,-1,6,2,5,-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,-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,
1,3,1,5,-1,6,-2]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,
2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,2,5,-2,4,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,
-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-3,
1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,
3,-3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[3,2],[1,1,3,1],[4,1,5,1,4,1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,
-1,2,-1,1,1,2,1,1,-1,2,-2],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,
-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,1,1,1,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,
2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[1,1,3,-1,1,1,3,1,1,1,4,1,1,1,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,
3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[1,
1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,
1,-1,2,-2],[3,1,1,1],[3,2,4,-1,1,1,4,1,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[3,1,1,1],[4,-1,5,-1,4,-1,5,-1]],[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,
1],[5,1,3,-2,4,-1,5,-1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1,3,
2,2,-1,3,1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,-1,3,1],[4,1,2,1,3,
-1,4,1,3,1,2,-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,
-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,
1,1,1],[3,2,4,-1,1,1,4,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,
2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,2,4,1,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,
2,1,1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,
3,-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,
1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,4,-1,3,-2,4,-1,3,1]]],[[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,
2,-1,1,-1],[3,1,4,1,3,-1,4,1,3,1,4,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,
1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,
1],[5,2,3,-1,4,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[4,1,3,1],[4,1,5,-1,3,-1,5,
1,4,1,3,1,4,1]]],[[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1,3,1]],[[2,2,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,
1],[4,1,3,1,4,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1],[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,2]],[[2,1,1,1,2,-1,1,
-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,
1,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,
-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[4,1,3,-2,4,1]]],[[[2,1,1,1,2,-1,
1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,-1,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,
-1,1,-1,2,1,1,-1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[
1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,4,-1,3,-1,4,1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2],[4,-3]]],[[[1,1,2,1,1,1,
2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1,3,1,2,-1,3,1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,
1,-1,2,1,1,-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],[
3,1,2,1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,-1,2,-1],[4,2,3,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-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],[4,1,3,-1,4,-1,3,3]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,1,2,1,1,-1,2,-2],[3,2],[4,-1,1,1,4,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,
1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,1],[3,2,4,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[4,1,3,-2,4,-1]],[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,4,1,3,-2,4,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2]],[[1,1,2,-1,
1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1],[3,1,2,1,1,1,2,1,1,-1,2,-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,-1,2,1,1,-1,2,1]],[[1,1,
2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,-2,2,-1,3,2]]],[[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,1],[4,2,3,1,1,1]]],[[[1,1,2,
1],[2,-1,1,1,2,-1,3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,
3,1],[6,1,3,1,4,-1,5,1,6,-1,3,1,4,-2,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,
1,3,1,4,1,2,1,4,-1,3,1,5,1,3,2,4,1,5,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,1,3,1],[2,1,4,1],[7,1,6,1,5,-1,4,2,3,-1,7,1,6,1,4,-1,1,1,3,-1,5,-1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1],[7,1,4,2,3,-1,5,-1,6,2,4,-1,
1,1,3,-1,5,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,3,2,
4,1,2,1,4,-1,2,-1,4,2,3,-1,5,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,
1],[2,1,4,1],[3,2],[7,1,4,1,8,-1,5,-1,6,-1,7,-1,5,1,8,1,4,1,6,-1]]],[[[1,1,2,
1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,2]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,
1,1,-1],[2,-1,3,2,2,-1,3,-1,2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,
-1],[3,1,2,-1,3,3,2,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,
1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[4,1,3,-1,4,1,3,-1,4,1,3,
-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,
1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1,4,1,3,-1,4,1,3,-1,4,1]]],[[[2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-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,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[4,1,3,2,4,
-1]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,1,4,-1,3,1,5,1,3,1,1,1,4,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1,1,
-1,2,-1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1]],[[2,1,1,1,
2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,
1,-1,2,-1,1,-1],[4,1,3,-1,4,1,3,-1],[5,2,4,1,3,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,
2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[4,1,3,1],[
4,-1,5,-1,3,1,4,1,5,-1,4,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[3,1,4,-1],[5,1,3,1,5,-1,
6,-2]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,1,2,-1,1,1,2,1],[3,1,4,1],[4,1,3,1],[6,1,5,-1,6,2,5,-2,4,-1]]],[[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,3,-1]],[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,-1,1,1,4,1]],[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[1,1,3,1],[
4,1,5,1,4,1,5,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[3,1,1,1],[3,2,4,-1,1,1,4,1,3,-1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,
1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,3,-3,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[1,1,3,1,4,-1,1,1,4,1,3,-2]]],[[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,3,2]],[[2,
1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1],[3,2,4,-1,
1,1,4,1,3,-1,1,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1]],[[2,1,1,1,2,
-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,
-1,2,-1,1,-1],[3,1,4,1],[5,2,3,-1,4,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,
1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,3,
-2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-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],[4,-1,3,1,4,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[
4,2,3,-2,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[6,1,5,1,3,2,
4,3,3,-1,5,-1,6,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-2],[3,1,1,1,3,1,1,1,3,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,
2,1,1,-1,2,-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,1,1,1],[4,1,3,-2,4,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1,1,1,2,1,1,-1,2,-2],[1,1,3,1],[4,2,3,1,1,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,
-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,
1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,1,1,1,2,-1,1,
1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,
-1,2,1,1,-1],[3,-4]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,1,3,
-1],[4,1,2,1,4,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,-2,2,-1,3,
2]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,3,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2],[4,1,2,1,1,1,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,3,1,4,-1,5,1,6,-1,3,1,4,
-2,5,1]]],[[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,1,1,1,2,-1,1,
-1,2,1,1,-1,2,1,1,-1],[2,-1,3,3,2,1]]],[[[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,
1,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[3,1,1,1,
2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,
1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,2,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,
1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[4,-1,1,1,4,1,3,1]]],[[[1,1,2,1,
1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,
2,1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,
-1],[1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1],[3,1,4,1],[5,2,3,-1,4,1,3,
-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,
-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,1,1,1,3,
-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[1,1,
3,1,1,1],[5,1,4,1,5,1,4,-1]]],[[[1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,
1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[2,1,3,1,4,2,3,-1,2,1,1,1],[5,1,6,1,5,1,6,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[2,1,4,1,6,1,5,-1,4,1,3,-2,6,1,4,1,2,1,4,-1,
3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,4,-1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1],[5,1,4,-1,3,1,4,-2,3,-2,2,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,4,-1,3,1,4,-1,3,1,4,-1,3,-2,5,-1]],[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,4,2,3,1,4,1,3,1,1,1,2,1,1,1,5,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,
-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[1,1,3,-1,1,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[3,1,2,
-1],[3,1,4,-1,2,-1,4,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,2,-1,
1,-1,2,1,1,-1,2,1,1,-1,2,-1,1,1,2,1,1,-1,2,-1,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
1,1,1,2,1,1,1],[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1],[4,-1,3,1,4,
-1,3,1,4,-1]]],[[[1,1,2,2,1,1,2,-1,1,-1,2,1,1,1,2,1,1,-1,2,-1,1,1,2,1,1,-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],[3,1,1,
1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2],[3,2],[
4,-1,1,1,4,1]]],[[[1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1]],[[2,1,
1,1,2,-1,1,-1,2,-1,1,-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,-1,1,-1,2,1,1,-1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,
-1,2,-1],[3,-1,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[2,
1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[1,1,2,-1,1,1,2,1,1,-1,2,1,
1,-1,2,-1,1,-1,2,1,1,-1,3,2]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,
2,-1],[3,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,1]],[[2,1,1,1,2,
-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2,1,1,2,-1,1,1,2,1,1,-1,2,1,1,-1,
2,-1,1,-1,2,1,1,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,1,1,1,3,1,1,1,3,-1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,
1,2,1,1,-1,2,-2],[1,1,3,1],[4,2,3,1,1,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,-1,
2,-1,1,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1],[2,1],[3,1,2,-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,-1,1,-1]],[[2,1,1,
1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1],[3,-1,1,1,2,1,1,1,2,1,1,
1,2,-1,1,-1,2,-1,1,-1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,
1,1,-1,2,-1],[3,1,1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1,3,-1]]],[[[1,1,2,
1],[2,1,3,1],[3,2,1,1,2,-1,1,1,2,-1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[1,1,2,-1,3,1,1,1,4,1],[2,1,4,1,5,1,6,-1,5,-1,2,-1,6,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,4,1,2,1,4,-1,3,1,5,1,6,-1,4,-1,3,-2,
5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,4,-1,1,1,3,-1,5,-1,4,1,3,-2,5,
-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,-1,4,1,3,-2,2,1,3,1,5,-1,
4,2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,-1,4,2,3,-1,6,1,5,
-1,4,1,3,-2]]],[[[1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,-1,1,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,
-1,2,-2],[3,-3]]],[[[2,2,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,-1,2,1,
1,-1,2,-1,1,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-3]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,-1,1,1,2,
-1,1,1,2,1,1,-1,2,1,1,-1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,
1,-1,2,1,1,1,2,-1,1,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,
-1],[3,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,3,1]]],[[[2,1,1,1,
2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1],[3,2,1,1,2,-1,1,1,2,1,1,-1,2,1,1,
-1,2,-1,1,-1,2,1,1,-1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,
-1],[3,-1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,1,2,-1,1,1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,2,3,-2,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1],[2,1,3,1,5,1,
2,-1,5,1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-1]],[[
1,1,2,1,1,1,2,1,1,1,2,-1,1,-1,2,-1,1,-1]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,
1,1,2,-1,1,1,2,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1],[3,1,2,1,1,1,2,-1,
1,-1,2,1,1,1,2,-1,1,1,2,-1,1,1,2,1,3,1]]],[[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,
1,1,2,-1,1,-1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1,2,-1,1,1,2,-1,1,-1,2,1,1,-1]]],[[[
2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,-1,2,-1,1,1,2,1,1,-1,2,-2]],[[1,1]]],[[[1,1,
2,-1,1,1,2,-1,1,1,2,1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,-1,1,1,2,-1,
1,1,2,1]]],[[[2,-1]],[[1,1,2,1,1,1,2,-1,1,-1,2,1,1,-1,2,1,1,-1]]],[[[1,1]],[[
2,1]]]]);
ACLT( "J2",
"sortperm",(  4,  5)(  6,  7, 10)(  8,  9)( 14, 15, 17, 16)( 19, 21, 23, 25)
( 20, 22, 24)( 28, 31)( 29, 32, 30)( 33, 38, 35, 34, 37, 41, 36, 40)( 42, 43)
( 46, 50, 51, 53, 54, 49, 48)( 47, 52)( 56, 58, 59, 57)( 61, 63, 68)
( 65, 66, 67)( 71, 72, 73)( 74, 78)( 77, 79)( 84, 92, 86, 85, 91)
( 87, 90, 89, 88)( 98, 99,101)(105,106)(108,111)(109,110,112)(115,117,116)
(121,122)(127,129)(136,137));
ACLT( "J2",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[3,
2],[6,1,5,1,7,1,4,-1,7,1,4,-1,5,1,6,1]],[[1,1,2,-1,1,1,2,1,1,1,2,1,1,
1]]],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[3,2,2,1],[4,6]],[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,1],[3,1,6,1,3,1,4,2],[5,2,3,2],[8,-1,3,1,7,1,4,
1,5,1,8,1]]],,[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,2,4,1],[5,2]]],,,,[[[1,1]],[[1,1,2,
1],[3,2,2,1],[3,1,4,1],[5,1,3,1],[5,4,6,4],[7,-1,4,2,7,1]]],,,,,,[[[2,1,1,1],[
3,2,2,-1,1,1],[4,6]],[[2,1,1,1],[2,1,3,3,2,-1,1,1],[4,2]]]]);


LIBTOM( "J2.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,4,8],[1,4,9],[1,2,4,10],[1,2,3,
11],[1,3,4,12],[1,2,13],[1,2,14],[1,4,15],[1,16],[1,17],[1,3,5,18],[1,2,6,
19],[1,4,5,20],[1,4,6,21],[1,3,6,22],[1,2,5,23],[1,4,6,24],[1,3,6,25],[1,26],[
1,2,4,7,10,27],[1,2,4,8,9,10,28],[1,2,3,4,10,11,12,29],[1,2,3,7,11,30],[1,2,7,
13,31],[1,2,3,11,13,32],[1,2,3,11,13,33],[1,2,4,10,13,34],[1,2,3,7,11,14,35],[
1,3,4,8,12,15,36],[1,3,4,9,12,15,37],[1,2,3,4,10,11,14,38],[1,2,13,39],[1,2,
13,40],[1,2,13,41],[1,2,13,14,42],[1,2,13,43],[1,2,7,13,44],[1,2,4,10,14,45],[
1,2,3,11,13,14,46],[1,2,4,10,15,47],[1,5,6,48],[1,2,16,49],[1,4,17,50],[1,4,
17,51],[1,4,16,52],[1,4,16,53],[1,2,17,54],[1,4,5,8,55],[1,2,6,7,56],[1,2,6,7,
57],[1,4,6,8,58],[1,4,6,9,59],[1,4,6,8,24,60],[1,2,5,7,23,61],[1,3,4,6,12,24,
25,62],[1,2,5,13,23,63],[1,4,6,15,24,64],[1,2,5,14,23,65],[1,2,5,14,23,66],[1,
4,6,15,24,67],[1,2,3,5,11,18,23,68],[1,2,4,5,10,20,23,69],[1,2,3,5,11,18,23,
70],[1,4,6,9,21,24,71],[1,3,4,6,12,22,24,72],[1,2,4,6,10,19,21,24,73],[1,3,4,
6,12,21,22,25,74],[1,2,3,6,11,19,22,25,75],[1,3,26,76],[1,4,26,77],[1,3,26,
78],[1,5,16,79],[1,2,4,7,8,9,10,27,28,80],[1,2,7,13,44,81],[1,2,7,13,43,44,
82],[1,2,7,13,14,31,39,42,83],[1,2,3,11,13,32,39,43,84],[1,2,3,11,13,14,33,41,
42,85],[1,2,3,11,13,32,40,43,86],[1,2,4,10,13,34,41,43,87],[1,2,7,13,31,43,44,
88],[1,2,3,11,13,14,33,43,46,89],[1,2,3,7,11,13,14,32,35,42,44,46,90],[1,2,3,
4,10,11,13,14,34,38,42,45,46,91],[1,2,4,7,10,13,27,34,44,92],[1,2,3,7,11,13,
30,32,33,44,93],[1,2,3,7,11,13,14,30,31,33,35,46,94],[1,2,3,4,7,10,11,12,14,
27,29,35,38,45,95],[1,2,3,4,10,11,12,13,14,29,32,34,38,46,96],[1,2,3,4,8,9,10,
11,12,15,28,29,36,37,47,97],[1,2,4,7,10,13,27,44,98],[1,2,4,7,10,15,27,47,
99],[1,2,4,8,9,10,14,15,28,45,47,100],[1,2,3,7,11,13,31,32,40,101],[1,2,3,4,
10,11,13,33,34,40,102],[1,2,3,4,10,11,13,33,34,39,103],[1,2,4,7,10,13,31,34,
41,104],[1,2,3,11,13,32,33,41,105],[1,2,13,14,40,42,43,106],[1,2,7,13,40,44,
107],[1,2,7,13,39,40,44,108],[1,2,7,13,41,44,109],[1,2,3,11,13,14,40,41,46,
110],[1,2,3,11,13,14,39,41,46,111],[1,3,5,6,18,22,48,112],[1,2,5,6,19,23,48,
113],[1,3,5,6,18,25,48,114],[1,4,8,16,53,115],[1,2,14,16,49,116],[1,4,15,17,
51,117],[1,4,15,17,51,118],[1,4,15,16,52,119],[1,2,4,10,16,49,52,53,120],[1,4,
9,16,52,53,121],[1,2,4,10,17,50,51,54,122],[1,6,26,123],[1,2,5,13,23,43,124],[
1,2,3,5,7,11,18,23,30,61,68,70,125],[1,2,4,6,8,9,10,19,21,24,28,60,71,73,
126],[1,2,3,4,6,10,11,12,19,21,22,24,25,29,62,72,73,74,75,127],[1,2,6,7,13,19,
31,57,128],[1,3,4,5,8,12,15,18,36,55,129],[1,2,3,6,7,11,14,22,35,56,130],[1,2,
3,6,7,11,14,22,35,57,131],[1,3,4,6,8,12,15,22,36,58,132],[1,3,4,6,9,12,15,22,
37,59,133],[1,2,4,5,8,9,10,23,28,55,134],[1,2,4,6,7,10,24,27,56,135],[1,2,3,6,
7,11,25,30,57,136],[1,2,3,5,11,13,14,18,23,46,63,66,68,137],[1,2,4,6,10,15,19,
21,24,47,64,67,73,138],[1,2,4,5,10,14,20,23,45,65,66,69,139],[1,2,5,13,23,41,
63,140],[1,2,5,13,23,39,63,141],[1,2,5,13,14,23,42,63,65,142],[1,2,3,5,11,13,
18,23,33,63,70,143],[1,2,4,5,10,13,20,23,34,63,69,144],[1,3,4,6,9,12,15,21,22,
24,37,64,71,72,145],[1,2,3,4,5,10,11,14,18,20,23,38,65,68,69,146],[1,2,5,7,13,
23,31,61,63,147],[1,3,4,6,8,12,15,24,25,36,60,62,64,148],[1,2,3,5,7,11,14,18,
23,35,61,66,70,149],[1,3,4,6,8,12,15,22,24,36,60,67,72,150],[1,3,4,6,9,12,15,
21,24,25,37,62,67,71,151],[1,16,17,152],[1,5,6,48,153],[1,3,4,12,26,76,77,78,
154],[1,2,5,16,23,49,79,155],[1,4,5,16,20,53,79,156],[1,4,5,16,20,52,79,157],[
1,2,7,13,31,43,44,82,88,158],[1,2,3,7,11,13,30,32,33,44,81,93,159],[1,2,4,7,8,
9,10,13,27,28,34,44,80,92,98,160],[1,2,3,4,7,8,9,10,11,12,14,15,27,28,29,35,
36,37,38,45,47,80,95,97,99,100,161],[1,2,3,7,11,13,14,30,31,32,33,35,42,43,44,
46,88,89,90,93,94,162],[1,2,3,4,7,10,11,12,13,14,27,29,32,34,35,38,42,44,45,
46,90,91,92,95,96,163],[1,2,7,13,31,39,40,43,44,88,107,108,164],[1,2,3,7,11,
13,14,32,35,39,40,41,42,44,46,90,108,109,110,111,165],[1,2,4,7,10,13,27,34,40,
44,92,107,166],[1,2,3,7,11,13,30,32,33,40,41,44,93,107,109,167],[1,2,4,7,10,
13,27,34,43,44,81,82,92,98,168],[1,2,7,13,39,40,44,81,108,169],[1,2,7,13,41,
43,44,82,109,170],[1,2,3,7,11,13,30,31,32,33,40,43,44,86,88,93,101,107,171],[
1,2,3,7,11,13,14,30,32,33,35,41,42,44,46,85,90,93,105,109,172],[1,2,4,7,10,13,
27,31,34,41,43,44,87,88,92,104,109,173],[1,2,3,4,7,10,11,13,14,30,31,33,34,35,
38,39,41,42,45,46,83,85,91,94,103,104,111,174],[1,2,3,4,10,11,12,13,14,29,32,
33,34,38,39,41,43,46,84,87,89,96,103,105,111,175],[1,2,3,7,11,13,14,31,32,35,
39,40,42,43,44,46,83,84,88,90,101,106,108,176],[1,2,3,4,10,11,13,14,33,34,38,
40,41,42,43,45,46,85,87,89,91,102,106,110,177],[1,2,7,13,31,41,43,44,81,88,
109,178],[1,2,3,7,11,13,14,32,35,40,42,44,46,81,90,107,179],[1,2,4,7,10,13,15,
27,34,44,47,92,99,180],[1,2,3,4,7,10,11,12,13,14,15,27,29,35,38,44,45,47,95,
98,99,181],[1,2,3,7,11,13,14,32,35,40,42,43,44,46,82,86,90,106,107,182],[1,2,
7,13,39,40,41,44,107,108,109,183],[1,2,3,4,7,10,11,13,27,30,32,33,34,39,40,44,
92,93,102,103,108,184],[1,2,3,4,7,10,11,12,13,14,29,30,31,32,33,34,35,38,40,
41,46,94,96,101,102,104,105,110,185],[1,2,3,7,11,13,30,32,33,39,40,43,44,82,
84,86,93,108,186],[1,4,5,6,8,24,48,55,58,60,187],[1,2,5,6,7,23,48,56,57,61,
188],[1,2,3,5,6,11,18,19,22,23,25,48,70,75,112,113,114,189],[1,2,4,8,9,10,16,
28,49,52,53,115,120,121,190],[1,2,4,10,15,16,47,49,52,53,119,120,191],[1,2,4,
10,14,16,45,49,52,53,116,120,192],[1,2,4,10,15,17,47,50,51,54,117,118,122,
193],[1,3,6,25,26,76,123,194],[1,3,6,25,26,78,123,195],[1,4,6,24,26,77,123,
196],[1,2,4,6,7,8,9,10,27,28,56,58,80,197],[1,2,4,6,7,8,9,10,27,28,57,58,59,
80,198],[1,2,5,13,14,23,40,42,43,66,106,124,199],[1,2,3,5,11,13,18,23,32,39,
43,68,84,124,200],[1,2,4,5,10,13,20,23,34,41,43,69,87,124,201],[1,2,3,5,11,13,
18,23,32,40,43,70,86,124,202],[1,2,5,7,13,23,31,43,44,63,88,124,203],[1,2,3,5,
11,13,14,23,33,43,46,65,89,124,204],[1,2,4,5,7,8,9,10,23,27,28,55,61,80,134,
205],[1,2,4,6,7,8,9,10,24,27,28,56,60,80,135,206],[1,2,5,7,13,23,43,44,61,82,
124,207],[1,2,6,7,13,44,57,81,208],[1,2,4,5,7,10,13,20,23,31,34,41,61,63,69,
104,140,144,147,209],[1,2,3,4,5,8,9,10,11,12,15,18,23,28,29,36,37,47,55,70,97,
129,134,210],[1,2,3,4,6,7,10,11,12,14,22,24,27,29,35,38,45,56,72,95,130,135,
211],[1,2,3,6,7,11,13,14,19,22,25,30,31,33,35,46,57,75,94,128,131,136,212],[1,
2,4,5,8,9,10,14,15,23,28,45,47,55,66,100,134,213],[1,2,4,6,7,10,15,24,27,47,
56,67,99,135,214],[1,2,3,4,5,10,11,13,18,20,23,33,34,39,63,69,70,103,141,143,
144,215],[1,2,3,5,11,13,14,18,23,39,41,46,63,66,68,111,137,140,141,216],[1,2,
3,5,11,13,14,18,23,33,41,42,63,65,70,85,140,142,143,217],[1,2,3,4,5,10,11,13,
14,18,20,23,34,38,42,45,46,63,65,66,68,69,91,137,139,142,144,146,218],[1,2,5,
7,13,14,23,31,39,42,61,63,65,83,141,142,147,219],[1,2,3,5,7,11,13,14,18,23,30,
31,33,35,46,61,63,66,68,70,94,125,137,143,147,149,220],[1,2,3,4,6,8,9,10,11,
12,15,19,21,22,24,25,28,29,36,37,47,60,62,64,67,71,72,73,74,75,97,126,127,138,
145,148,150,151,221],[1,4,16,17,51,52,152,222],[1,2,16,17,49,54,152,223],[1,4,
16,17,50,53,152,224],[1,2,5,6,19,23,48,113,153,225],[1,3,5,6,18,22,25,48,112,
114,153,226],[1,2,6,7,16,19,49,56,227],[1,4,5,8,17,20,50,55,228],[1,4,6,9,17,
21,51,59,229],[1,4,5,8,16,53,55,79,115,230],[1,2,5,14,16,23,49,65,79,116,155,
231],[1,2,4,5,10,16,20,23,49,52,53,69,79,120,155,156,157,232],[1,2,5,14,16,23,
49,66,79,116,155,233],[1,2,4,7,8,9,10,13,27,28,34,43,44,80,81,82,92,98,160,
168,234],[1,2,3,7,11,13,14,30,31,32,33,35,39,40,42,43,44,46,82,83,84,86,88,89,
90,93,94,101,106,107,108,158,162,164,171,176,182,186,235],[1,2,3,4,7,10,11,13,
27,30,32,33,34,39,40,43,44,81,82,84,86,92,93,98,102,103,108,159,168,169,184,
186,236],[1,2,4,7,10,13,27,31,34,41,43,44,81,82,87,88,92,98,104,109,158,168,
170,173,178,237],[1,2,4,7,10,13,27,34,39,40,43,44,81,82,92,98,108,168,169,
238],[1,2,4,7,10,13,27,34,41,43,44,81,82,92,98,109,168,170,239],[1,2,4,7,10,
13,15,27,34,43,44,47,81,82,92,98,99,168,180,240],[1,2,3,4,7,10,11,12,13,14,27,
29,32,34,35,38,40,42,43,44,45,46,81,82,86,90,91,92,95,96,98,106,107,163,166,
168,179,182,241],[1,2,3,7,11,13,14,30,31,32,33,35,40,41,42,43,44,46,81,85,86,
88,89,90,93,94,101,105,107,109,159,162,167,171,172,178,179,242],[1,2,3,7,11,
13,14,30,32,33,35,39,40,41,42,43,44,46,82,84,85,86,90,93,105,106,107,108,109,
110,111,165,167,170,172,182,183,186,243],[1,2,4,7,8,9,10,13,15,27,28,34,40,44,
47,80,92,98,99,107,160,166,180,244],[1,2,3,4,7,10,11,13,27,30,31,32,33,34,39,
40,41,43,44,86,87,88,92,93,101,102,103,104,107,108,109,164,166,167,171,173,
183,184,245],[1,2,3,7,11,13,14,31,32,35,39,40,41,42,43,44,46,81,83,84,88,90,
101,106,107,108,109,110,111,164,165,169,176,178,179,183,246],[1,2,3,4,7,10,11,
12,13,14,27,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,83,84,85,87,88,89,
90,91,92,93,94,95,96,101,102,103,104,105,106,108,109,110,111,162,163,165,172,
173,174,175,176,177,184,185,247],[1,2,3,4,7,8,9,10,11,12,13,14,15,27,28,29,32,
34,35,36,37,38,42,44,45,46,47,80,90,91,92,95,96,97,98,99,100,160,161,163,180,
181,248],[1,2,3,5,6,7,11,18,23,25,30,48,56,57,61,68,70,114,125,136,188,249],[
1,2,4,5,6,8,9,10,19,21,23,24,28,48,55,58,60,71,73,113,126,134,187,250],[1,2,3,
5,6,7,11,14,18,22,23,35,48,56,57,61,66,70,112,130,131,149,188,251],[1,3,4,5,6,
8,12,15,18,22,24,36,48,55,58,60,67,72,112,129,132,150,187,252],[1,3,4,5,6,8,
12,15,18,24,25,36,48,55,58,60,62,64,114,129,148,187,253],[1,2,5,6,7,13,19,23,
31,48,56,57,61,63,113,128,147,188,254],[1,6,16,17,152,255],[1,2,4,8,9,10,14,
15,16,28,45,47,49,52,53,100,115,116,119,120,121,190,191,192,256],[1,3,4,6,12,
24,25,26,62,76,77,78,123,154,194,195,196,257],[1,2,4,5,7,10,13,20,23,27,31,34,
41,43,44,63,69,87,88,92,104,109,124,144,173,201,203,258],[1,2,3,5,7,11,13,18,
23,30,31,32,33,40,43,44,63,70,86,88,93,101,107,124,143,171,202,203,259],[1,2,
3,4,5,10,11,12,13,14,18,20,23,29,32,33,34,38,39,41,43,46,65,68,69,84,87,89,96,
103,105,111,124,146,175,200,201,204,260],[1,2,3,5,7,11,13,14,18,23,31,32,35,
39,40,42,43,44,46,63,66,68,83,84,88,90,101,106,108,124,137,176,199,200,203,
261],[1,2,3,4,5,10,11,13,14,20,23,33,34,38,40,41,42,43,45,46,65,66,69,85,87,
89,91,102,106,110,124,139,177,199,201,204,262],[1,2,5,7,13,23,31,39,40,43,44,
63,88,107,108,124,141,164,203,263],[1,2,5,7,13,23,31,43,44,61,63,82,88,124,
147,158,203,207,264],[1,2,5,7,13,23,31,41,43,44,63,81,88,109,124,140,178,203,
265],[1,2,3,5,7,11,13,14,23,30,31,32,33,35,42,43,44,46,63,65,88,89,90,93,94,
124,142,162,203,204,266],[1,2,4,6,7,8,9,10,13,24,27,28,34,44,56,58,80,92,98,
135,160,197,267],[1,2,3,4,6,7,8,9,10,11,12,14,15,22,27,28,29,35,36,37,38,45,
47,56,58,80,95,97,99,100,130,132,161,197,268],[1,2,3,4,6,7,8,9,10,11,12,14,15,
22,27,28,29,35,36,37,38,45,47,57,58,59,80,95,97,99,100,131,132,133,161,198,
269],[1,2,6,7,13,19,31,41,43,44,57,81,88,109,128,178,208,270],[1,2,3,6,7,11,
13,14,22,32,35,40,42,44,46,57,81,90,107,131,179,208,271],[1,2,3,6,7,11,13,25,
30,32,33,44,57,81,93,136,159,208,272],[1,2,3,5,7,11,13,14,18,23,32,35,40,42,
43,44,46,61,66,70,82,86,90,106,107,124,149,182,199,202,207,273],[1,2,3,5,7,11,
13,18,23,30,32,33,39,40,43,44,61,68,70,82,84,86,93,108,124,125,186,200,202,
207,274],[1,2,3,4,5,7,8,9,10,11,12,14,15,18,23,27,28,29,35,36,37,38,45,47,55,
61,66,70,80,95,97,99,100,129,134,149,161,205,210,213,275],[1,2,3,4,6,7,8,9,10,
11,12,14,15,22,24,27,28,29,35,36,37,38,45,47,56,60,67,72,80,95,97,99,100,130,
135,150,161,206,211,214,276],[1,2,3,4,5,7,10,11,13,14,18,20,23,30,31,33,34,35,
38,39,41,42,45,46,61,63,65,66,68,69,70,83,85,91,94,103,104,111,125,137,139,
140,141,142,143,144,146,147,149,174,209,215,216,217,218,219,220,277],[1,4,15,
16,17,51,52,118,119,152,222,278],[1,2,4,10,16,17,49,50,51,52,53,54,120,122,
152,222,223,224,279],[1,4,15,16,17,51,52,117,119,152,222,280],[1,2,5,6,13,19,
23,48,63,113,153,225,281],[1,2,5,6,14,19,23,48,65,113,153,225,282],[1,2,3,5,6,
11,18,19,22,23,25,48,70,75,112,113,114,153,189,225,226,283],[1,2,4,6,7,10,16,
19,21,24,27,49,52,53,56,73,120,135,227,284],[1,2,4,5,8,9,10,17,20,23,28,50,51,
54,55,69,122,134,228,285],[1,2,4,5,8,9,10,16,23,28,49,52,53,55,79,115,120,121,
134,155,190,230,286],[1,2,3,6,7,11,14,16,19,22,25,35,49,56,75,116,130,227,
287],[1,3,4,6,9,12,15,17,21,22,25,37,51,59,74,117,133,229,288],[1,2,4,5,10,14,
16,20,23,45,49,52,53,65,66,69,79,116,120,139,155,156,157,192,231,232,233,
289],[1,2,3,4,7,8,9,10,11,13,27,28,30,32,33,34,39,40,43,44,80,81,82,84,86,92,
93,98,102,103,108,159,160,168,169,184,186,234,236,238,290],[1,2,4,7,8,9,10,13,
27,28,31,34,41,43,44,80,81,82,87,88,92,98,104,109,158,160,168,170,173,178,234,
237,239,291],[1,2,3,4,7,8,9,10,11,12,13,14,15,27,28,29,32,34,35,36,37,38,40,
42,43,44,45,46,47,80,81,82,86,90,91,92,95,96,97,98,99,100,106,107,160,161,163,
166,168,179,180,181,182,234,240,241,244,248,292],[1,2,3,4,7,10,11,13,15,27,30,
32,33,34,39,40,41,43,44,47,81,82,84,86,92,93,98,99,102,103,108,109,159,168,
169,170,180,184,186,236,239,240,293],[1,2,3,4,7,10,11,12,13,14,27,29,30,31,32,
33,34,35,38,39,40,41,42,43,44,45,46,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,98,101,102,103,104,105,106,107,108,109,110,111,158,159,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,182,183,184,185,186,
235,236,237,241,242,243,245,246,247,294],[1,2,3,4,7,10,11,12,13,14,27,29,32,
34,35,38,39,40,41,42,43,44,45,46,81,82,86,90,91,92,95,96,98,106,107,108,109,
163,166,168,169,170,179,182,238,239,241,295],[1,2,4,7,10,13,15,27,31,34,39,40,
41,43,44,47,81,82,87,88,92,98,99,104,108,109,158,168,169,170,173,178,180,237,
238,240,296],[1,2,4,5,6,7,8,9,10,23,24,27,28,48,55,56,57,58,59,60,61,80,134,
135,187,188,197,198,205,206,297],[1,2,3,5,6,7,11,13,14,18,19,22,23,25,30,31,
33,35,46,48,56,57,61,63,66,68,70,75,94,112,113,114,125,128,130,131,136,137,
143,147,149,188,189,212,220,249,251,254,298],[1,2,3,4,5,6,8,9,10,11,12,15,18,
19,21,22,23,24,25,28,29,36,37,47,48,55,58,60,62,64,67,70,71,72,73,74,75,97,
112,113,114,126,127,129,132,134,138,145,148,150,151,187,189,210,221,250,252,
253,299],[1,4,6,16,17,21,50,53,152,224,255,300],[1,2,6,16,17,19,49,54,152,223,
255,301],[1,4,6,16,17,24,51,52,152,222,255,302],[1,2,7,13,17,31,43,44,54,82,
88,158,303],[1,2,6,7,13,19,26,31,57,123,128,304],[1,2,5,6,7,16,19,23,48,49,56,
57,61,79,113,155,188,227,305],[1,2,4,5,7,8,9,10,13,23,27,28,34,43,44,55,61,80,
81,82,92,98,124,134,160,168,205,207,234,306],[1,2,4,6,7,8,9,10,13,27,28,34,43,
44,57,58,59,80,81,82,92,98,160,168,198,208,234,307],[1,2,4,6,7,8,9,10,13,24,
27,28,34,43,44,56,58,60,80,81,82,92,98,135,160,168,197,206,234,267,308],[1,2,
3,5,7,11,13,14,23,30,31,32,33,35,39,40,42,43,44,46,61,63,65,82,83,84,86,88,89,
90,93,94,101,106,107,108,124,141,142,147,158,162,164,171,176,182,186,203,204,
207,219,235,263,264,266,309],[1,2,4,5,7,10,13,20,23,27,31,34,41,43,44,61,63,
69,81,82,87,88,92,98,104,109,124,140,144,147,158,168,170,173,178,201,203,207,
209,237,258,264,265,310],[1,2,4,6,7,8,9,10,13,15,24,27,28,34,40,44,47,56,58,
67,80,92,98,99,107,135,160,166,180,197,214,244,267,311],[1,2,3,5,7,11,13,14,
18,23,30,31,32,33,35,39,40,42,43,44,46,61,63,66,68,70,82,83,84,86,88,89,90,93,
94,101,106,107,108,124,125,137,143,147,149,158,162,164,171,176,182,186,199,
200,202,203,207,220,235,259,261,264,273,274,312],[1,2,3,5,7,11,13,14,18,23,30,
31,32,33,35,40,41,42,43,44,46,63,65,70,81,85,86,88,89,90,93,94,101,105,107,
109,124,140,142,143,159,162,167,171,172,178,179,202,203,204,217,242,259,265,
266,313],[1,2,3,4,5,7,10,11,12,13,14,18,20,23,27,29,30,31,32,33,34,35,38,39,
40,41,42,43,44,45,46,63,65,66,68,69,83,84,85,87,88,89,90,91,92,93,94,95,96,
101,102,103,104,105,106,108,109,110,111,124,137,139,142,144,146,162,163,165,
172,173,174,175,176,177,184,185,199,200,201,203,204,218,247,258,260,261,262,
266,314],[1,2,3,4,5,7,10,11,13,18,20,23,27,30,31,32,33,34,39,40,41,43,44,63,
69,70,86,87,88,92,93,101,102,103,104,107,108,109,124,141,143,144,164,166,167,
171,173,183,184,201,202,203,215,245,258,259,263,315],[1,2,3,4,6,7,8,9,10,11,
12,13,14,15,22,24,27,28,29,32,34,35,36,37,38,42,44,45,46,47,56,58,72,80,90,91,
92,95,96,97,98,99,100,130,132,135,160,161,163,180,181,197,211,248,267,268,
316],[1,2,3,5,7,11,13,14,18,23,31,32,35,39,40,41,42,43,44,46,63,66,68,81,83,
84,88,90,101,106,107,108,109,110,111,124,137,140,141,164,165,169,176,178,179,
183,199,200,203,216,246,261,263,265,317],[1,2,3,6,7,11,13,14,19,22,25,30,31,
32,33,35,40,41,42,43,44,46,57,75,81,85,86,88,89,90,93,94,101,105,107,109,128,
131,136,159,162,167,171,172,178,179,208,212,242,270,271,272,318],[1,2,4,10,15,
16,17,47,49,50,51,52,53,54,117,118,119,120,122,152,191,193,222,223,224,278,
279,280,319],[1,2,5,6,13,14,19,23,42,48,63,65,113,142,153,225,281,282,320],[1,
2,3,5,6,11,13,18,19,22,23,25,33,48,63,70,75,112,113,114,143,153,189,225,226,
281,283,321],[1,2,5,6,13,19,23,41,48,63,113,140,153,225,281,322],[1,2,4,6,7,8,
9,10,16,19,21,24,27,28,49,52,53,56,60,71,73,80,115,120,121,126,135,190,206,
227,284,323],[1,2,3,4,6,7,10,11,12,14,16,19,21,22,24,25,27,29,35,38,45,49,52,
53,56,62,72,73,74,75,95,116,120,127,130,135,192,211,227,284,287,324],[1,2,4,6,
7,10,15,16,19,21,24,27,47,49,52,53,56,64,67,73,99,119,120,135,138,191,214,227,
284,325],[1,2,4,5,8,9,10,14,15,17,20,23,28,45,47,50,51,54,55,65,66,69,100,117,
118,122,134,139,193,213,228,285,326],[1,2,4,5,8,9,10,14,15,16,23,28,45,47,49,
52,53,55,66,79,100,115,116,119,120,121,134,155,190,191,192,213,230,233,256,
286,327],[1,2,3,4,7,8,9,10,11,12,13,14,15,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
248,290,291,292,293,294,295,296,328],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,18,22,
23,24,27,28,29,35,36,37,38,45,47,48,55,56,57,58,59,60,61,66,67,70,72,80,95,97,
99,100,112,129,130,131,132,133,134,135,149,150,161,187,188,197,198,205,206,
210,211,213,214,251,252,268,269,275,276,297,329],[1,4,5,8,16,17,20,50,53,55,
79,115,152,156,224,228,230,330],[1,4,6,15,16,17,24,51,52,67,117,119,152,222,
255,280,302,331],[1,4,6,15,16,17,24,51,52,64,118,119,152,222,255,278,302,
332],[1,2,4,6,10,16,17,19,21,24,49,50,51,52,53,54,73,120,122,152,222,223,224,
255,279,300,301,302,333],[1,2,4,7,10,13,17,27,31,34,41,43,44,50,51,54,81,82,
87,88,92,98,104,109,122,158,168,170,173,178,237,303,334],[1,2,3,6,7,11,13,14,
19,22,25,26,30,31,33,35,46,57,75,76,94,123,128,131,136,194,212,304,335],[1,2,
4,6,7,10,13,19,21,24,26,31,34,41,57,73,77,104,123,128,196,304,336],[1,2,3,6,7,
11,13,19,22,25,26,31,32,40,57,75,78,101,123,128,195,304,337],[1,2,3,5,6,7,11,
14,16,18,19,22,23,25,35,48,49,56,57,61,66,70,75,79,112,113,114,116,130,131,
149,155,188,189,227,233,251,287,305,338],[1,2,4,6,7,8,9,10,13,19,27,28,31,34,
41,43,44,57,58,59,80,81,82,87,88,92,98,104,109,128,158,160,168,170,173,178,
198,208,234,237,239,270,291,307,339],[1,2,3,4,5,7,8,9,10,11,13,18,23,27,28,30,
32,33,34,39,40,43,44,55,61,68,70,80,81,82,84,86,92,93,98,102,103,108,124,125,
134,159,160,168,169,184,186,200,202,205,207,234,236,238,274,290,306,340],[1,2,
4,5,7,8,9,10,13,23,27,28,31,34,41,43,44,55,61,63,80,81,82,87,88,92,98,104,109,
124,134,147,158,160,168,170,173,178,203,205,207,234,237,239,264,291,306,341],[
1,2,3,4,5,7,8,9,10,11,12,13,14,15,18,23,27,28,29,32,34,35,36,37,38,40,42,43,
44,45,46,47,55,61,66,70,80,81,82,86,90,91,92,95,96,97,98,99,100,106,107,124,
129,134,149,160,161,163,166,168,179,180,181,182,199,202,205,207,210,213,234,
240,241,244,248,273,275,292,306,342],[1,2,3,4,6,7,8,9,10,11,13,25,27,28,30,32,
33,34,39,40,43,44,57,58,59,80,81,82,84,86,92,93,98,102,103,108,136,159,160,
168,169,184,186,198,208,234,236,238,272,290,307,343],[1,2,3,4,6,7,8,9,10,11,
12,13,14,15,22,27,28,29,32,34,35,36,37,38,40,42,43,44,45,46,47,57,58,59,80,81,
82,86,90,91,92,95,96,97,98,99,100,106,107,131,132,133,160,161,163,166,168,179,
180,181,182,198,208,234,240,241,244,248,269,271,292,307,344],[1,2,3,4,5,7,10,
11,12,13,14,18,20,23,27,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,61,63,
65,66,68,69,70,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,101,102,103,
104,105,106,107,108,109,110,111,124,125,137,139,140,141,142,143,144,146,147,
149,158,159,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,182,183,184,185,186,199,200,201,202,203,204,207,209,215,216,217,218,
219,220,235,236,237,241,242,243,245,246,247,258,259,260,261,262,263,264,265,
266,273,274,277,294,309,310,312,313,314,315,317,345],[1,2,3,4,6,7,8,9,10,11,
12,13,14,15,22,24,27,28,29,32,34,35,36,37,38,40,42,43,44,45,46,47,56,58,60,67,
72,80,81,82,86,90,91,92,95,96,97,98,99,100,106,107,130,132,135,150,160,161,
163,166,168,179,180,181,182,197,206,211,214,234,240,241,244,248,267,268,276,
292,308,311,316,346],[1,2,3,5,6,11,13,14,18,19,22,23,25,33,41,42,48,63,65,70,
75,85,112,113,114,140,142,143,153,189,217,225,226,281,282,283,320,321,322,
347],[1,2,3,4,6,7,8,9,10,11,12,14,15,16,19,21,22,24,25,27,28,29,35,36,37,38,
45,47,49,52,53,56,60,62,64,67,71,72,73,74,75,80,95,97,99,100,115,116,119,120,
121,126,127,130,135,138,145,148,150,151,161,190,191,192,206,211,214,221,227,
256,276,284,287,323,324,325,348],[1,2,4,5,6,7,8,9,10,13,23,24,27,28,34,43,44,
48,55,56,57,58,59,60,61,80,81,82,92,98,124,134,135,160,168,187,188,197,198,
205,206,207,208,234,267,297,306,307,308,349],[1,2,4,5,8,9,10,16,17,20,23,28,
49,50,51,52,53,54,55,69,79,115,120,121,122,134,152,155,156,157,190,222,223,
224,228,230,232,279,285,286,330,350],[1,2,4,6,10,15,16,17,19,21,24,47,49,50,
51,52,53,54,64,67,73,117,118,119,120,122,138,152,191,193,222,223,224,255,278,
279,280,300,301,302,319,331,332,333,351],[1,2,4,7,10,13,15,17,27,31,34,39,40,
41,43,44,47,50,51,54,81,82,87,88,92,98,99,104,108,109,117,118,122,158,168,169,
170,173,178,180,193,237,238,240,296,303,334,352],[1,2,3,4,6,7,10,11,12,13,14,
19,21,22,24,25,26,29,30,31,32,33,34,35,38,40,41,46,57,62,72,73,74,75,76,77,78,
94,96,101,102,104,105,110,123,127,128,131,136,154,185,194,195,196,212,257,304,
335,336,337,353],[1,2,4,5,6,7,8,9,10,16,19,21,23,24,27,28,48,49,52,53,55,56,
57,58,59,60,61,71,73,79,80,113,115,120,121,126,134,135,155,187,188,190,197,
198,205,206,227,230,250,284,286,297,305,323,354],[1,2,3,4,5,7,8,9,10,11,12,13,
14,15,18,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,55,
61,63,66,68,70,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,124,125,129,134,137,143,147,
149,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,199,200,202,203,205,207,210,213,
220,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,259,261,264,
273,274,275,290,291,292,293,294,295,296,306,312,328,340,341,342,355],[1,2,3,4,
6,7,8,9,10,11,12,13,14,15,19,22,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,57,58,59,75,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,128,131,132,
133,136,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,198,208,212,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,269,270,271,272,290,291,292,293,
294,295,296,307,318,328,339,343,344,356],[1,2,5,6,7,13,16,19,23,31,48,49,56,
57,61,63,79,113,128,147,153,155,188,225,227,254,281,305,357],[1,2,3,4,5,6,7,8,
9,10,11,13,18,23,24,25,27,28,30,32,33,34,39,40,43,44,48,55,56,57,58,59,60,61,
68,70,80,81,82,84,86,92,93,98,102,103,108,114,124,125,134,135,136,159,160,168,
169,184,186,187,188,197,198,200,202,205,206,207,208,234,236,238,249,267,272,
274,290,297,306,307,308,340,343,349,358],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
18,22,23,24,27,28,29,32,34,35,36,37,38,40,42,43,44,45,46,47,48,55,56,57,58,59,
60,61,66,67,70,72,80,81,82,86,90,91,92,95,96,97,98,99,100,106,107,112,124,129,
130,131,132,133,134,135,149,150,160,161,163,166,168,179,180,181,182,187,188,
197,198,199,202,205,206,207,208,210,211,213,214,234,240,241,244,248,251,252,
267,268,269,271,273,275,276,292,297,306,307,308,311,316,329,342,344,346,349,
359],[1,2,4,5,6,7,8,9,10,13,19,23,24,27,28,31,34,41,43,44,48,55,56,57,58,59,
60,61,63,80,81,82,87,88,92,98,104,109,113,124,128,134,135,147,158,160,168,170,
173,178,187,188,197,198,203,205,206,207,208,234,237,239,254,264,267,270,291,
297,306,307,308,339,341,349,360],[1,2,4,5,8,9,10,14,15,16,17,20,23,28,45,47,
49,50,51,52,53,54,55,65,66,69,79,100,115,116,117,118,119,120,121,122,134,139,
152,155,156,157,190,191,192,193,213,222,223,224,228,230,231,232,233,256,278,
279,280,285,286,289,319,326,327,330,350,361],[1,2,3,4,5,6,7,8,9,10,11,12,14,
15,16,18,19,21,22,23,24,25,27,28,29,35,36,37,38,45,47,48,49,52,53,55,56,57,58,
59,60,61,62,64,66,67,70,71,72,73,74,75,79,80,95,97,99,100,112,113,114,115,116,
119,120,121,126,127,129,130,131,132,133,134,135,138,145,148,149,150,151,155,
161,187,188,189,190,191,192,197,198,205,206,210,211,213,214,221,227,230,233,
250,251,252,253,256,268,269,275,276,284,286,287,297,299,305,323,324,325,327,
329,338,348,354,362],[1,2,4,5,7,8,9,10,13,17,20,23,27,28,31,34,41,43,44,50,51,
54,55,61,63,69,80,81,82,87,88,92,98,104,109,122,124,134,140,144,147,158,160,
168,170,173,178,201,203,205,207,209,228,234,237,239,258,264,265,285,291,303,
306,310,334,341,363],[1,2,3,5,6,7,11,13,14,16,18,19,22,23,25,30,31,33,35,46,
48,49,56,57,61,63,66,68,70,75,79,94,112,113,114,116,125,128,130,131,136,137,
143,147,149,153,155,188,189,212,220,225,226,227,233,249,251,254,281,283,287,
298,305,321,338,357,364],[1,2,5,6,7,13,14,16,19,23,31,39,42,48,49,56,57,61,63,
65,79,83,113,116,128,141,142,147,153,155,188,219,225,227,231,254,281,282,305,
320,357,365],[1,2,4,5,6,7,10,13,16,19,20,23,31,34,41,48,49,52,53,56,57,61,63,
69,79,104,113,120,128,140,144,147,153,155,156,157,188,209,225,227,232,254,281,
305,322,357,366],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,19,22,23,24,25,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,55,56,57,58,59,60,
61,63,66,67,68,70,72,75,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,124,125,128,
129,130,131,132,133,134,135,136,137,143,147,149,150,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,197,198,199,200,202,203,205,206,207,208,210,211,
212,213,214,220,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,251,252,254,259,261,264,267,268,269,270,271,272,273,274,275,276,290,291,
292,293,294,295,296,297,298,306,307,308,311,312,316,318,328,329,339,340,341,
342,343,344,346,349,355,356,358,359,360,367],[1,2,3,4,5,7,8,9,10,11,12,13,14,
15,17,18,20,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
50,51,54,55,61,63,65,66,68,69,70,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,117,118,122,
124,125,129,134,137,139,140,141,142,143,144,146,147,149,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,193,199,200,201,202,203,204,205,207,209,210,213,215,216,
217,218,219,220,228,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
248,258,259,260,261,262,263,264,265,266,273,274,275,277,285,290,291,292,293,
294,295,296,303,306,309,310,312,313,314,315,317,326,328,334,340,341,342,345,
352,355,363,368],[1,2,3,4,5,6,7,10,11,13,14,16,18,19,20,22,23,25,30,31,33,34,
35,38,39,41,42,45,46,48,49,52,53,56,57,61,63,65,66,68,69,70,75,79,83,85,91,94,
103,104,111,112,113,114,116,120,125,128,130,131,136,137,139,140,141,142,143,
144,146,147,149,153,155,156,157,174,188,189,192,209,212,215,216,217,218,219,
220,225,226,227,231,232,233,249,251,254,277,281,282,283,287,289,298,305,320,
321,322,338,347,357,364,365,366,369],[1,2,5,6,7,13,19,23,26,31,41,43,44,48,57,
63,81,88,109,113,123,124,128,140,153,178,203,208,225,265,270,281,304,322,
370],[1,2,3,5,6,7,11,13,14,18,19,22,23,25,26,30,31,32,33,35,40,41,42,43,44,46,
48,57,63,65,70,75,78,81,85,86,88,89,90,93,94,101,105,107,109,112,113,114,123,
124,128,131,136,140,142,143,153,159,162,167,171,172,178,179,189,195,202,203,
204,208,212,217,225,226,242,259,265,266,270,271,272,281,282,283,304,313,318,
320,321,322,337,347,370,371],[1,2,4,5,6,7,8,9,10,13,16,17,19,20,21,23,24,26,
27,28,31,34,41,43,44,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,69,71,73,77,
79,80,81,82,87,88,92,98,104,109,113,115,120,121,122,123,124,126,128,134,135,
140,144,147,152,153,155,156,157,158,160,168,170,173,178,187,188,190,196,197,
198,201,203,205,206,207,208,209,222,223,224,225,227,228,229,230,232,234,237,
239,250,254,255,258,264,265,267,270,279,281,284,285,286,291,297,300,301,302,
303,304,305,306,307,308,310,322,323,330,333,334,336,339,341,349,350,354,357,
360,363,366,370,372],[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]],
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],[1,1,2,
1],[1,2,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,3,4,1,6,1],[1,1,
6,1,3,3,1],[1,1,4,2,1,2,4,1],[1,3,4,1,6,1],[1,5,2,1,1],[1,1,4,2,1,1],[1,1,4,2,
1,1],[1,1,4,2,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,2,1],[1,1,3,1],[1,3,1,2,1],[1,1,2,
1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,3,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[
1,5,1,1],[1,1,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,2,1,1,1,1,2,1],[1,1,1,1,1,1],[1,1,1,
1,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,
2,1,1],[1,1,6,1,3,2,1,1],[1,7,1,3,2,1,1],[1,6,1,1,3,2,1,1],[1,3,4,1,3,1,1,1,
1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,1,
1,1],[1,3,12,1,4,12,18,3,12,1],[1,3,1,6,3,1],[1,3,1,6,4,3,1],[1,5,2,1,2,1,1,1,
1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,3,1,
1,1,1],[1,7,3,4,3,1,3,1],[1,1,6,3,3,1,3,1,3,1],[1,3,4,1,2,2,2,1,2,1,1,2,1],[1,
1,2,4,2,1,1,3,1,2,1,2,1,1],[1,3,8,1,12,2,2,4,1,1],[1,3,8,1,12,2,2,2,2,1,1],[1,
5,6,2,11,1,1,2,1,1,2,1,1],[1,3,4,4,1,6,2,4,2,1,1,2,2,1,1],[1,1,6,4,2,3,8,1,1,
2,1,1,2,1,1],[1,1,4,6,1,3,3,2,4,2,1,1,2,2,1,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,6,
4,1,2,1],[1,1,6,1,3,3,2,2,1,1,1,1],[1,5,4,2,2,1,1,1,1,1],[1,1,4,4,2,2,1,1,1,1,
1],[1,1,4,4,2,2,1,1,1,1,1],[1,5,4,2,2,1,1,1,1,1],[1,1,8,4,1,1,1,1,1],[1,1,3,2,
1,1,1,1],[1,3,1,2,2,1,1],[1,3,1,2,1,1,1,1],[1,3,1,2,2,1,1],[1,1,2,1,1,1,1,1,1,
1],[1,1,2,1,1,1,1,1,1,1],[1,9,1,3,3,9,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,
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],[1,5,5,1,1,1],[1,5,
6,5,1,1,1,1,1],[1,11,5,1,2,1,1],[1,1,10,5,1,1,1,1,1],[1,7,1,1],[1,1,4,3,4,1,
1],[1,3,12,1,1,18,4,3,3,1,3,3,1],[1,3,12,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,8,4,1,
3,6,10,1,1,2,1,2,3,1,1,1,2,2,1],[1,9,4,4,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[
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],[1,6,3,
4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,4,4,1,6,4,
1,1,1],[1,1,6,1,3,1,3,2,1,3,1,1,1,1],[1,3,4,1,3,4,1,1,1,3,1,1,1,1],[1,1,6,1,3,
4,2,1,3,1,1,1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,2,1,1,1,2,1],[1,
1,12,1,6,1,4,1,3,1,2,1],[1,1,12,1,6,1,4,1,3,1,2,1],[1,6,7,1,3,3,1,2,2,1,3,1,1,
1,1],[1,1,6,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,5,1,2,1,5,1,2,1,1],[1,2,3,1,1,1,1,3,
2,1,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,6,3,1,1,3,3,2,3,3,1,1,1,1],[1,2,
7,1,3,1,3,2,1,2,3,1,1,1,1],[1,3,3,1],[1,1,12,4,1],[1,8,7,7,1,1,1,1,1],[1,5,1,
1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,11,5,10,10,10,15,5,10,1],[
1,3,16,1,24,6,4,12,12,3,1,6,1],[1,3,16,1,4,12,24,6,4,12,12,3,1,3,3,1],[1,3,4,
12,1,4,12,18,2,4,2,4,3,12,1,2,4,4,2,1,2,1,1,2,1,2,1],[1,7,12,3,30,4,2,6,3,3,6,
6,1,1,3,6,1,2,3,3,6,1],[1,3,8,8,1,12,4,16,2,4,2,4,2,4,4,8,2,1,4,4,2,4,1,4,4,
1],[1,7,3,4,3,1,3,1,3,1,3,3,1],[1,3,4,1,2,2,2,1,2,1,1,2,1,1,2,1,1,1,2,2,1],[1,
3,8,1,12,2,2,4,4,1,1,2,1],[1,3,8,1,12,2,2,2,2,2,2,1,1,1,1,1],[1,3,8,1,12,10,2,
4,4,5,1,1,1,4,1],[1,3,1,6,2,2,3,1,2,1],[1,3,1,6,4,4,3,1,2,1],[1,7,8,3,12,4,2,
3,2,2,2,1,3,2,1,1,2,1,1],[1,3,12,1,14,2,2,2,3,2,2,2,1,1,2,2,1,1,2,1,1],[1,7,8,
3,12,4,2,3,4,2,1,3,2,1,1,2,1,1],[1,5,6,4,2,2,11,1,3,2,1,1,1,2,2,1,1,1,2,1,1,1,
1,1,1,1,1,1],[1,1,10,4,2,5,8,3,1,2,1,3,1,2,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,4,3,
2,4,2,3,1,2,1,1,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,6,4,2,3,3,3,3,1,2,1,1,1,1,2,3,1,
1,1,1,1,1,1,1],[1,7,3,8,3,2,1,5,1,1,1,1],[1,3,4,1,2,6,2,1,2,2,1,3,2,1,1,1,1],[
1,3,8,1,12,2,8,2,4,1,4,1,2,1],[1,3,4,4,1,6,2,4,4,2,4,1,1,2,2,2,1,2,1,1,1,1],[
1,3,4,1,2,6,2,1,2,2,1,4,3,2,1,2,1,2,1,1],[1,3,1,2,1,3,2,1,1,1,1,1],[1,3,8,8,1,
12,12,2,2,2,2,2,4,1,1,1,1,1,2,2,1,1],[1,5,10,4,2,2,13,8,1,1,2,2,1,1,1,1,2,2,1,
1,1,1,1,1,1,1,1,1,1],[1,3,8,1,12,6,2,2,2,1,1,4,3,1,2,2,1,1,1],[1,3,4,9,1,3,4,
1,2,1,1],[1,3,1,12,1,3,4,2,1,1,1],[1,3,12,1,3,9,4,1,9,3,3,1,3,3,1,1,1,1],[1,5,
18,1,15,15,1,5,1,3,3,1,3,3,1],[1,5,6,5,10,1,5,1,1,1,2,1,1],[1,5,6,5,10,1,5,1,
1,1,2,1,1],[1,1,10,5,10,1,5,1,1,1,1,1,1,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,
1],[1,7,7,7,1,1,1,1],[1,3,12,16,1,4,12,18,3,12,4,16,1,1],[1,3,12,16,1,4,12,18,
3,12,4,4,12,1,1],[1,1,4,3,6,4,3,3,1,4,3,1,1],[1,1,12,4,6,3,8,4,3,3,1,4,3,1,
1],[1,1,12,4,6,3,8,4,3,3,1,4,3,1,1],[1,1,12,4,6,3,8,4,3,3,1,4,3,1,1],[1,7,4,3,
4,4,3,1,3,4,1,1,1],[1,1,6,4,3,3,1,4,3,1,3,4,1,1,1],[1,3,12,4,1,4,12,18,12,3,
12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,4,1,6,12,4,3,4,1,1,
1],[1,3,16,1,6,3,4,1,1],[1,5,12,1,2,6,1,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,1,12,6,
4,1,3,3,6,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,3,12,4,4,1,6,6,12,6,8,4,1,3,6,6,
3,1,4,3,2,1,1],[1,9,10,4,4,21,3,3,4,4,4,4,3,3,6,3,1,4,3,1,1,1,1],[1,1,6,4,1,3,
3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,6,12,4,1,6,1,4,3,1,1],[1,1,12,12,1,6,6,1,
4,4,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,6,1,3,1,3,2,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,
12,1,6,1,2,4,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,6,12,1,6,3,1,5,2,4,1,3,6,1,6,3,1,2,
1,1,2,3,1,2,1,1,2,1],[1,5,1,2,1,2,5,1,1,1,2,1,2,1,1,1,1,1],[1,5,18,1,2,33,1,3,
6,5,6,1,3,6,3,2,1,1,5,6,3,2,1,1,1,2,1],[1,3,8,12,1,1,9,9,6,10,4,1,3,2,3,2,3,3,
4,6,3,1,1,1,1,3,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,25,3,3,15,15,1,1],[1,5,3,3,1,5,
1,1],[1,5,3,3,1,5,1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,12,3,9,9,4,1,3,1,1],[1,
15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,
3,1,4,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,18,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[
1,5,1,15,1,5,1,5,1,3,1,1],[1,3,24,1,8,24,36,18,6,24,36,12,9,2,3,3,9,18,6,9,
1],[1,11,12,5,30,10,2,6,10,3,6,6,1,3,1,10,15,6,5,1,3,6,10,2,3,3,6,3,3,3,3,1,1,
1,3,3,3,3,1],[1,3,16,8,1,12,24,10,2,4,12,12,4,2,2,4,5,1,1,4,4,1,6,4,4,4,2,1,1,
1,2,2,1],[1,11,8,5,12,14,2,10,4,4,10,17,1,5,4,10,1,4,4,2,1,1,1,2,2,1],[1,3,8,
1,12,10,2,4,4,4,4,5,1,1,1,4,4,1,2,1],[1,3,8,1,12,10,2,4,8,4,5,1,1,1,4,4,1,2,
1],[1,3,8,1,12,10,16,2,4,4,5,8,1,1,1,4,4,1,2,1],[1,3,8,8,1,12,4,16,10,4,2,4,2,
4,4,8,4,2,4,5,4,4,1,1,4,2,4,1,4,4,4,4,2,1,1,1,2,2,1],[1,7,20,3,42,8,2,8,3,13,
16,6,2,2,1,1,5,6,1,2,2,1,2,3,8,6,2,2,1,1,1,1,1,1,1,1,1,1],[1,3,12,1,14,6,2,2,
3,2,2,1,3,4,1,4,3,2,1,2,2,4,1,1,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,16,1,4,12,
24,6,8,4,12,12,4,3,4,1,3,3,2,2,1,1,1,1],[1,7,8,8,3,12,12,4,2,2,3,2,2,4,1,5,2,
1,3,2,2,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1,1],[1,7,4,3,2,8,2,3,1,2,2,4,2,1,1,5,
2,1,1,1,1,1,1,1,3,4,1,2,2,1,1,1,1,1,1,1,1],[1,7,16,8,3,12,32,16,4,4,2,4,6,3,4,
6,4,8,8,1,1,2,2,1,3,4,8,1,1,2,2,1,2,4,4,1,3,6,4,4,1,2,2,2,2,1,1,1,2,2,1,1,1,1,
1,2,2,1,2,1,2,1],[1,3,8,16,1,4,12,24,4,16,6,4,8,4,12,4,2,12,4,8,8,8,2,3,4,4,4,
1,2,4,3,4,4,4,3,2,4,1,2,1,1,2,1],[1,3,12,1,12,1,18,4,3,12,3,4,2,1,1,3,3,4,1,3,
1,1],[1,3,12,4,9,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,1,3,1,1],[1,3,18,1,12,1,9,9,6,
36,3,9,4,2,1,1,3,3,4,6,3,3,1,1],[1,18,3,4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,3,6,
3,1,1],[1,6,3,4,9,1,3,3,4,3,6,3,4,1,2,1,3,3,4,1,3,1,1],[1,9,1,12,4,3,4,9,3,4,
2,1,4,3,4,1,3,1,1],[1,25,3,3,1,1],[1,5,18,1,15,15,10,10,1,5,5,5,1,3,3,5,1,2,2,
3,3,1,1,1,1],[1,8,7,7,7,7,14,1,7,1,1,1,1,1,1,1,1,1],[1,7,24,4,3,36,4,16,4,6,3,
12,6,1,3,4,8,6,1,3,6,3,1,4,3,2,1,1],[1,7,24,4,3,36,4,16,4,6,3,6,6,6,1,3,4,8,6,
1,3,6,3,1,4,3,2,1,1],[1,1,18,12,4,6,9,24,3,1,8,8,4,6,3,3,3,6,3,3,1,3,4,4,4,3,
3,1,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,4,3,6,4,6,8,4,3,3,6,3,3,3,1,3,6,4,4,4,3,3,
1,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,6,3,3,7,8,4,3,3,6,3,3,3,1,6,3,4,4,4,3,3,
1,3,3,3,3,1,4,3,1,1,1,1],[1,7,4,3,4,4,3,1,3,1,3,4,1,3,3,1,4,1,1,1],[1,11,4,5,
10,20,10,10,15,8,4,5,10,1,4,1,1,2,1],[1,7,4,3,16,4,3,6,1,9,4,3,1,3,1,4,3,1,
1],[1,7,12,4,3,30,4,2,4,6,3,3,6,6,1,1,3,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,16,
16,1,4,12,24,6,16,4,12,12,3,4,16,1,3,3,4,1,1,1],[1,3,12,12,16,1,4,12,18,6,12,
6,12,16,3,12,3,6,12,12,6,3,6,4,16,1,3,6,3,6,4,8,3,1,1],[1,3,12,12,16,1,4,12,
18,6,12,6,12,16,3,12,3,6,12,12,6,3,6,4,4,12,1,3,6,3,6,4,4,4,3,1,1],[1,15,16,7,
12,16,9,6,3,9,4,1,3,3,4,3,1,1],[1,3,12,16,1,6,6,6,16,3,6,6,3,3,6,4,1,3,3,4,3,
1,1],[1,3,16,16,1,24,6,16,4,12,12,3,4,1,6,4,1,1,1],[1,3,12,4,1,6,6,6,8,12,3,6,
6,3,4,3,6,4,4,4,1,6,3,6,3,1,4,3,1,1,1,1],[1,3,24,4,1,36,6,16,12,6,6,6,3,3,4,3,
4,12,12,1,6,6,3,3,1,4,3,1,1,1,1],[1,3,12,12,4,1,4,12,18,6,12,6,12,8,12,3,12,3,
6,12,12,6,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,3,12,12,4,1,4,12,18,6,12,
6,12,8,12,3,12,3,6,12,12,6,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,5,18,12,
1,2,6,33,1,5,6,4,5,6,1,3,3,6,6,1,3,1,6,3,2,1,2,1,5,2,6,1,3,3,3,3,3,3,2,1,2,1,
1,1,1,1,2,1,2,3,1,1,1,1,1,1,1,1],[1,25,25,3,3,15,15,15,15,1,1,1],[1,5,30,25,3,
3,1,1,15,15,5,5,5,5,1,1,1,1,1],[1,25,25,3,3,15,15,5,5,1,1,1],[1,9,1,12,9,12,9,
4,9,12,1,1,1],[1,9,1,12,9,12,9,4,9,12,1,1,1],[1,9,18,1,12,27,6,12,18,9,18,4,9,
18,2,12,6,1,6,1,2,1],[1,15,16,10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,
30,10,5,15,15,6,20,10,5,6,6,6,5,10,6,5,1,1],[1,5,18,4,1,15,15,1,20,5,1,3,3,1,
4,1,3,3,5,4,1,1,1],[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],[1,5,18,1,15,20,1,6,5,15,1,3,3,5,5,5,
1,4,3,5,1,1,1,3,1,1,1,1],[1,3,16,24,1,8,24,36,24,18,6,24,4,12,12,36,6,6,12,9,
2,3,3,12,12,9,6,18,12,12,6,1,6,9,3,6,6,1,3,3,1],[1,11,24,5,8,24,36,22,6,24,10,
36,12,18,21,2,3,7,12,10,9,18,12,6,1,6,9,3,6,6,1,3,3,1],[1,3,8,24,1,8,24,36,4,
16,18,4,16,6,24,4,2,36,4,16,16,8,4,2,12,9,4,4,8,2,3,3,4,2,4,9,4,4,8,18,4,8,4,
2,6,4,1,1,9,2,2,4,2,1,1,1,2,2,1],[1,3,16,8,1,12,24,10,16,2,4,12,12,4,2,2,8,4,
5,8,1,1,4,4,1,6,4,4,4,4,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,24,8,5,12,60,16,14,4,
2,4,12,10,14,20,4,12,8,2,6,4,2,10,17,4,12,1,5,2,6,4,12,4,10,4,6,4,1,10,12,4,4,
4,6,4,4,4,4,6,6,6,2,4,4,1,1,2,1,2,2,1,2,1,1,1,6,2,2,4,4,6,4,2,2,6,2,2,4,6,2,1,
1,1,2,2,2,2,2,1],[1,3,8,8,1,12,4,16,10,4,2,4,2,4,4,8,4,8,8,2,4,5,4,4,1,1,4,2,
4,1,4,4,4,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,11,8,5,12,14,16,2,10,4,4,4,4,10,
17,8,1,5,4,10,1,4,4,4,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,3,12,4,36,1,4,12,18,12,12,
3,12,16,1,5,4,20,12,4,4,1,3,3,4,4,1,1,1,1,1],[1,9,30,1,12,4,63,3,9,10,4,36,9,
12,12,3,9,18,9,4,2,1,4,3,3,9,12,12,9,4,4,4,4,1,6,3,3,3,3,3,6,1,4,3,3,1,1,1,
1],[1,3,24,12,4,9,1,9,9,18,30,12,16,1,3,30,12,3,6,3,9,12,18,9,4,1,2,1,3,3,3,
12,3,3,3,6,6,9,4,4,4,1,3,4,6,3,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,15,25,3,3,25,3,
15,1,3,1,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,25,25,3,3,25,15,15,1,1,1,1],[1,
11,5,10,16,10,10,15,16,5,10,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,15,1,30,
5,6,10,15,10,6,10,5,5,6,10,6,5,1,1],[1,3,24,16,1,8,24,36,18,48,6,24,36,12,9,8,
16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,3,24,64,1,8,24,36,18,6,24,36,12,9,16,32,
96,2,3,3,9,18,6,9,8,12,1,1],[1,3,24,16,1,8,24,36,18,48,6,24,36,12,9,4,16,16,2,
3,3,9,18,12,6,9,1,4,1,3,1],[1,11,12,4,5,30,10,2,20,6,10,3,6,6,1,3,1,10,15,6,8,
4,8,5,1,3,6,10,2,3,3,6,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,11,
24,4,5,36,22,16,20,6,10,12,12,10,21,8,4,8,3,5,12,10,3,12,12,6,1,4,4,4,1,3,3,6,
6,2,1,2,4,3,1,1,1,1],[1,3,16,16,1,4,12,24,6,24,16,4,12,12,12,3,12,4,16,16,1,3,
3,6,6,4,1,3,3,1,4,3,1,1],[1,11,36,4,5,90,10,6,24,20,18,10,9,18,18,3,9,3,10,15,
18,8,4,4,20,24,5,3,9,18,10,6,9,9,18,9,9,9,9,1,8,4,4,4,8,1,3,3,9,9,9,9,1,1,2,1,
2,4,3,1,1,1,2,2,1],[1,7,36,4,3,66,16,2,16,4,12,3,33,36,6,6,6,1,1,9,6,4,8,8,3,
6,6,1,2,3,18,6,6,6,3,3,1,4,4,4,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,7,24,24,4,
3,36,36,48,4,8,8,16,4,6,12,6,3,6,6,12,12,24,3,3,6,4,1,3,12,12,4,8,4,4,8,3,3,6,
6,1,2,6,12,3,3,6,12,12,3,6,6,6,6,3,3,3,6,6,1,4,8,4,4,8,1,3,3,3,3,6,6,3,6,3,6,
1,1,2,1,2,4,3,1,2,1,2,1,1],[1,7,24,24,4,3,36,36,4,16,16,4,6,6,3,6,6,12,1,9,6,
1,3,4,8,8,6,6,1,3,3,6,6,6,6,6,3,3,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,
3,24,16,16,1,4,12,24,12,48,6,12,24,32,16,4,12,12,6,12,12,24,24,24,6,3,12,12,
12,4,16,16,1,6,12,3,12,12,12,3,6,12,8,16,4,1,6,3,3,6,1,4,3,1,2,1],[1,7,12,4,3,
6,16,6,8,4,3,3,6,4,6,6,3,1,9,6,4,4,4,3,3,3,1,3,3,3,3,6,3,6,6,1,4,4,4,1,3,3,3,
3,3,3,1,1,1,4,3,1,1,1,1],[1,15,28,16,7,78,12,6,16,16,16,16,9,15,24,18,6,6,3,3,
9,18,4,16,1,6,6,3,6,9,12,18,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,
30,25,50,3,3,25,1,1,15,15,5,5,5,15,20,5,5,1,5,5,1,1,1,1,1,1,1],[1,9,1,12,9,18,
12,9,9,4,9,18,12,9,1,1,1,2,1],[1,9,36,1,12,54,9,12,12,36,9,36,27,4,9,18,36,4,
12,12,9,1,12,1,4,1,2,1],[1,9,1,12,9,12,9,27,4,9,12,9,1,1,1,1],[1,15,48,10,5,
16,60,90,6,10,30,30,15,60,6,18,18,5,10,30,30,5,6,18,18,10,15,6,5,1,3,1],[1,15,
20,16,10,5,30,30,40,30,6,10,10,20,10,20,5,15,30,30,15,6,6,6,5,10,10,10,20,20,
15,12,6,10,10,5,6,5,1,1,2,1],[1,15,16,10,5,30,40,6,10,10,10,5,30,6,6,6,5,10,
10,10,15,12,6,5,10,6,5,1,1,1],[1,1,30,10,5,15,15,10,30,6,20,10,5,15,15,6,6,6,
5,10,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,5,18,4,1,15,15,30,30,1,20,5,15,15,1,3,
3,1,20,4,15,1,6,6,3,3,5,4,1,3,3,5,1,4,3,1,1],[1,11,24,24,5,8,24,36,60,16,22,4,
16,6,24,4,12,10,14,20,36,12,16,16,8,6,10,12,2,18,21,4,12,8,2,3,7,2,14,4,20,12,
10,4,6,4,9,10,12,4,4,8,18,4,8,6,12,12,12,4,6,6,10,6,4,4,1,1,6,4,2,1,2,2,1,2,9,
3,3,6,2,6,4,4,6,4,6,2,2,4,6,2,6,4,10,1,2,3,3,3,3,1,1,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,3,36,12,4,36,1,4,12,18,18,36,18,36,24,120,12,12,3,12,9,18,36,36,18,
9,18,16,1,5,4,20,12,4,4,12,12,12,12,1,9,18,9,18,16,6,18,12,36,12,3,3,12,12,9,
4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,15,10,5,13,18,10,6,15,5,10,5,6,10,6,1,
5,1],[1,25,25,75,3,3,25,15,15,25,15,15,1,1,1,3,1,1],[1,25,25,25,3,3,25,15,15,
25,15,15,1,1,1,1,1,1],[1,15,40,25,75,3,3,25,25,25,3,3,15,15,15,15,25,15,15,1,
1,3,3,1,3,1,1,1,1],[1,11,40,5,60,30,16,10,10,20,20,10,25,16,16,16,5,5,20,10,5,
20,20,10,16,1,5,5,10,10,5,1,1],[1,21,22,28,14,63,21,21,28,28,28,8,14,21,21,42,
21,14,28,8,21,8,14,14,14,8,14,1,1],[1,21,28,28,14,42,21,28,28,28,8,21,21,21,
14,28,8,21,8,14,8,1,1],[1,21,28,28,14,42,21,28,28,28,8,21,21,21,14,28,8,21,8,
14,8,1,1],[1,15,30,1,30,5,45,45,6,10,10,90,15,30,45,10,6,10,5,5,15,15,30,6,10,
10,10,18,30,15,15,6,5,10,1,6,5,3,1,1],[1,27,24,64,13,8,24,36,30,64,6,24,30,36,
36,30,45,16,32,96,2,3,15,36,30,9,18,36,18,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,
1],[1,3,48,24,16,1,8,24,36,72,18,64,48,6,24,12,36,36,36,18,18,12,9,8,16,48,48,
2,3,3,36,36,9,18,18,36,36,18,12,16,24,3,6,9,9,18,18,12,12,8,12,1,9,9,12,3,1,
1],[1,11,24,16,5,8,24,36,22,80,6,24,10,36,12,18,21,8,32,16,2,3,7,12,10,9,18,
12,6,12,24,16,1,6,9,3,6,6,4,8,16,1,3,3,4,1,1,1],[1,3,24,24,16,1,8,24,36,12,48,
18,12,48,32,48,6,24,12,6,36,12,48,48,24,12,6,12,9,12,12,24,8,16,16,16,2,3,3,
12,6,12,9,12,12,24,18,12,24,12,6,12,16,24,16,6,12,3,3,9,6,6,12,6,4,4,8,12,8,8,
1,3,3,6,6,4,8,3,1,1],[1,3,16,24,64,1,8,24,36,24,18,64,6,24,4,12,12,36,6,6,12,
9,16,32,96,2,3,3,12,12,9,6,18,12,12,6,16,1,6,9,3,6,6,8,12,1,3,3,4,1,1,1],[1,3,
24,24,64,1,8,24,36,12,48,18,12,48,64,6,24,12,6,36,12,48,48,24,12,6,12,9,12,12,
24,16,32,96,2,3,3,12,6,12,9,12,12,24,18,12,24,12,6,16,32,32,6,12,3,3,9,6,6,12,
6,8,12,1,3,3,6,6,8,4,3,1,1],[1,11,48,24,4,5,36,120,48,22,8,24,16,20,6,12,24,
10,36,48,12,24,24,4,12,12,4,10,21,12,24,8,4,8,4,20,8,24,3,5,4,12,12,24,12,10,
8,12,12,3,24,24,12,12,12,12,12,12,12,12,12,12,12,6,12,12,1,8,4,8,4,4,4,4,4,8,
4,8,1,3,4,3,4,6,3,6,3,3,3,12,6,6,12,12,12,12,6,6,12,6,6,12,12,1,1,2,2,1,2,2,4,
4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,2,1,2,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,3,
24,24,16,1,8,24,36,12,48,18,12,48,32,48,6,24,12,6,36,12,48,48,24,12,6,12,9,12,
12,24,4,16,16,16,16,2,3,3,12,6,12,9,12,12,24,18,12,24,12,6,8,16,12,16,6,12,3,
3,9,6,6,12,6,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,9,36,1,12,54,9,18,12,12,36,
9,36,27,27,9,4,9,18,18,36,27,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,15,20,
48,10,5,16,60,90,30,40,30,40,6,10,30,20,30,20,15,60,15,30,40,60,30,15,30,6,18,
18,5,10,10,10,10,30,10,30,20,20,5,15,30,15,30,6,12,12,18,18,10,10,10,15,10,10,
10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,24,16,96,1,8,24,36,18,48,
96,6,24,36,12,9,64,8,8,16,64,96,32,16,2,3,3,9,18,12,24,24,6,9,32,16,2,8,8,8,
12,12,1,6,8,1,1,2,1],[1,5,90,10,5,75,75,13,18,60,50,25,1,6,90,75,15,30,5,50,
10,5,15,15,30,25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,15,40,25,75,100,3,3,
25,25,25,75,3,3,15,15,15,15,25,25,25,15,15,30,15,15,25,1,15,15,1,3,3,1,1,3,3,
1,1,1,3,1,1,1,1],[1,11,40,5,60,30,80,16,10,10,20,20,20,20,10,25,40,16,16,16,5,
5,20,10,5,20,20,20,20,10,16,16,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,21,
50,28,28,14,42,105,112,21,21,28,28,56,28,56,8,42,14,21,21,21,21,42,42,21,21,
21,14,28,28,28,56,56,8,8,8,21,21,21,21,21,21,21,8,28,14,14,14,8,21,8,8,8,14,8,
1,1,1,1,1],[1,15,48,4,90,5,16,60,90,6,10,30,60,30,15,60,40,6,18,18,1,25,20,80,
60,10,20,30,30,24,5,40,6,18,18,10,15,15,24,10,20,6,5,5,5,5,1,6,10,3,6,5,4,1,
1],[1,11,72,24,16,5,8,24,36,180,48,22,12,48,96,80,6,24,12,36,10,42,60,36,36,
48,48,24,18,30,12,6,18,21,12,36,24,8,32,16,16,80,96,2,3,7,6,42,12,60,12,10,12,
18,12,9,30,36,12,12,24,18,12,24,18,36,36,12,12,18,18,30,6,12,12,12,32,16,24,
16,16,16,32,1,3,6,12,6,3,6,6,3,6,9,9,3,18,6,6,12,12,18,12,6,6,6,12,18,6,18,12,
30,4,12,16,4,8,16,8,8,16,1,6,9,3,9,3,3,3,6,6,6,6,6,6,6,4,4,4,8,16,8,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,27,40,24,64,13,8,24,36,132,48,30,12,48,64,64,64,6,24,12,
28,30,18,36,36,36,48,48,24,6,18,36,6,30,45,12,36,24,16,32,96,64,2,3,15,6,18,
12,36,36,30,12,18,12,9,18,36,12,12,24,18,12,24,18,12,12,36,12,18,18,18,18,12,
12,16,16,32,32,16,3,1,6,12,6,3,6,6,3,6,9,3,9,18,6,18,12,12,18,12,18,6,6,12,18,
6,6,12,18,8,12,16,1,6,3,9,3,9,3,3,6,6,6,6,6,6,6,8,12,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,45,1,120,30,45,36,120,45,45,40,36,60,30,30,45,36,120,30,45,10,36,
30,10,12,30,10,12,1],[1,3,48,24,16,96,1,8,24,36,72,18,64,48,96,192,6,24,12,36,
36,36,18,18,12,9,64,8,8,16,64,96,32,16,48,48,2,3,3,36,36,9,18,18,36,36,18,64,
12,16,24,24,48,3,6,9,9,18,18,32,16,2,8,12,12,8,8,12,12,1,9,9,16,6,12,12,3,8,1,
1,2,1,3,1,1],[1,3,72,24,16,96,1,8,24,36,36,144,18,36,144,96,384,48,96,6,24,36,
18,36,36,144,144,72,36,18,12,9,36,36,72,64,8,8,16,64,96,32,16,48,96,48,96,2,3,
3,36,18,36,9,36,36,72,18,36,72,36,18,64,12,48,48,48,192,96,24,24,48,96,6,36,9,
9,9,18,18,36,18,32,16,2,8,12,12,8,8,12,12,24,24,24,24,1,9,9,18,18,16,32,6,12,
24,12,12,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,27,24,16,96,13,8,24,36,30,64,144,
96,6,24,30,36,36,30,45,64,8,8,16,64,96,32,64,48,2,3,15,36,30,9,18,36,18,64,12,
16,24,24,48,3,6,9,9,18,18,32,16,2,8,12,8,8,24,12,1,9,9,16,12,6,12,3,8,1,1,2,1,
3,1,1],[1,5,90,10,5,75,75,50,150,13,18,60,50,25,75,75,1,6,90,75,15,30,5,50,50,
50,10,75,5,10,30,90,90,15,15,30,25,50,6,10,10,10,5,15,15,30,25,6,6,6,1,5,10,
10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,15,60,48,4,90,5,16,60,90,90,120,90,120,
6,40,10,30,300,60,30,60,15,60,45,90,120,180,90,45,90,40,6,18,18,1,25,20,80,60,
10,20,30,30,60,30,60,30,30,30,60,60,24,5,45,90,45,90,40,40,40,6,36,36,18,18,
10,30,10,90,60,120,60,15,15,30,30,30,60,30,30,24,45,10,20,40,6,18,18,5,5,5,5,
15,15,15,15,30,1,6,24,10,20,10,10,18,15,15,15,15,3,6,6,5,10,4,1,3,3,6,5,4,3,1,
1],[1,11,120,40,5,40,120,180,70,96,160,200,30,120,10,180,60,50,45,96,96,96,40,
80,40,80,10,15,15,60,10,45,90,60,30,96,50,120,40,40,40,1,30,45,15,30,30,20,10,
40,60,40,16,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,45,90,1,120,30,405,45,135,
36,30,120,360,45,360,90,45,135,270,135,40,36,60,30,30,45,45,45,90,360,36,135,
40,120,120,108,30,30,180,90,90,45,45,45,90,10,36,30,120,90,45,10,40,12,36,30,
30,30,10,20,36,30,12,10,12,1,1],[1,45,1,120,30,45,90,36,120,45,45,45,45,40,36,
60,30,30,45,90,36,45,120,36,30,45,45,45,10,36,30,45,10,12,36,30,10,20,12,10,1,
1],[1,45,108,1,120,30,270,45,36,120,36,45,45,135,135,40,36,108,108,60,30,30,
45,90,36,135,120,108,30,45,45,45,10,36,36,36,30,45,10,12,36,30,10,12,10,1,1],[
1,27,120,24,16,96,13,8,24,36,396,144,30,36,144,160,64,384,144,96,192,6,24,36,
84,30,54,108,36,108,144,144,72,18,54,36,18,30,45,36,108,72,64,8,8,16,64,96,32,
64,48,48,96,144,192,96,192,2,3,15,18,54,36,108,36,30,36,54,36,9,54,108,36,36,
72,18,36,72,54,36,36,36,36,54,54,54,18,36,36,64,64,64,12,64,16,48,48,48,192,
96,24,24,48,48,48,48,96,96,3,3,6,36,18,9,18,18,9,18,9,9,9,54,18,18,36,36,54,
36,18,18,18,36,54,18,18,36,54,32,16,64,2,8,12,12,24,12,8,8,24,12,24,24,48,24,
24,48,1,18,9,9,9,9,9,9,18,18,18,18,18,18,18,16,16,32,16,12,12,12,6,12,24,12,
12,12,24,24,24,24,3,3,9,9,9,9,9,8,16,1,1,2,6,12,6,12,9,8,1,1,3,3,3,3,6,1,3,3,
1,1,1,1],[1,11,120,120,40,5,40,120,180,300,240,70,20,240,96,240,160,200,30,
120,60,60,10,150,180,180,60,240,240,120,70,90,60,10,50,45,60,60,120,96,96,96,
40,80,40,80,40,200,80,240,10,15,15,10,150,60,180,60,10,20,30,60,45,90,60,60,
60,120,90,60,120,30,180,180,60,60,30,30,90,30,60,60,96,96,96,50,80,80,120,40,
80,40,40,40,40,40,80,40,80,1,15,30,60,10,15,10,30,15,30,45,45,15,30,30,30,60,
60,30,60,30,30,30,60,30,30,90,60,90,96,10,50,20,60,10,20,40,60,40,40,40,40,40,
40,40,40,40,16,5,10,45,15,45,15,15,15,30,30,30,30,30,30,30,10,10,20,10,20,10,
10,10,10,20,60,40,40,16,15,5,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,
5,5,5,10,6,5,1,1],[1,45,90,108,1,120,30,270,405,45,225,36,30,120,36,360,45,
360,90,45,135,135,270,270,45,135,45,270,135,40,36,108,108,60,30,30,45,90,45,
45,90,90,360,36,45,135,135,135,135,135,135,40,120,120,144,108,30,30,180,90,90,
45,90,45,45,45,45,45,90,45,90,10,36,36,36,135,30,120,108,45,90,45,45,45,45,45,
45,10,40,12,36,36,36,30,30,30,45,10,20,20,36,36,30,12,10,10,10,12,10,1,1,1,1,
1],[1,63,28,336,63,252,336,252,288,189,378,63,189,112,252,252,63,63,189,336,
288,63,252,252,28,189,63,63,28,63,63,28,36,28,1],[1,63,252,28,336,63,1134,252,
126,336,336,1008,252,1008,288,252,189,567,756,378,378,378,63,63,189,378,112,
252,252,504,504,1008,288,63,378,378,63,126,189,378,378,378,378,189,189,112,
336,336,288,63,252,252,252,252,252,252,28,63,63,189,189,189,189,189,336,288,
126,63,126,63,252,252,28,112,189,63,63,63,63,63,63,28,56,56,36,63,63,28,28,28,
36,28,1,1],[1,315,2520,280,8400,525,840,12600,18900,3150,1008,6048,8400,10080,
25200,12600,25200,14400,3150,12600,3150,18900,18900,3150,4725,11200,1008,6048,
30240,15120,15120,30240,840,4200,8400,16800,50400,8400,8400,12600,25200,25200,
25200,14400,10080,1050,1575,1575,18900,3150,4725,9450,18900,9450,33600,5040,
15120,15120,30240,14400,3150,8400,8400,12600,12600,12600,12600,12600,2016,
2800,10080,10080,10080,315,3150,4725,4725,9450,9450,8400,8400,5040,14400,1050,
4200,6300,3150,4200,4200,6300,6300,12600,2016,6048,6048,2800,840,1008,10080,
5040,10080,525,4725,4725,8400,8400,2016,3150,3150,3150,3150,6300,6048,2800,
2520,5040,5040,1575,4200,2016,2016,2016,1890,1800,3360,525,525,1050,3150,2800,
840,1008,2016,1890,1800,525,1575,525,1008,840,280,525,315,280,100,1],[1,315,
1800,2520,280,8400,525,840,12600,18900,18900,25200,3150,6300,25200,1008,6048,
8400,8400,10080,25200,50400,12600,25200,50400,14400,3150,12600,18900,6300,
3150,9450,18900,18900,18900,25200,75600,37800,3150,9450,18900,3150,3150,4725,
18900,18900,37800,11200,1008,6048,30240,15120,15120,30240,840,4200,8400,16800,
50400,8400,8400,25200,12600,25200,25200,12600,25200,12600,25200,25200,25200,
25200,25200,50400,50400,14400,14400,14400,10080,1050,1575,1575,3150,9450,
18900,18900,18900,3150,6300,9450,18900,4725,9450,18900,18900,18900,37800,9450,
18900,37800,9450,18900,18900,18900,18900,9450,9450,9450,9450,18900,18900,
11200,33600,33600,5040,10080,30240,30240,30240,15120,15120,30240,14400,3150,
8400,8400,25200,8400,8400,25200,25200,50400,50400,12600,12600,25200,12600,
25200,25200,12600,12600,12600,12600,12600,25200,25200,12600,25200,25200,25200,
25200,2016,2800,14400,10080,10080,10080,315,1575,3150,18900,3150,4725,3150,
9450,4725,9450,4725,4725,4725,9450,9450,9450,18900,18900,9450,18900,9450,9450,
9450,18900,9450,9450,9450,18900,9450,8400,8400,33600,5040,15120,15120,30240,
14400,14400,14400,1050,4200,3150,3150,6300,6300,3150,6300,4200,4200,6300,6300,
12600,12600,12600,25200,12600,12600,12600,12600,12600,12600,12600,12600,25200,
2016,6048,6048,2800,11200,840,1008,10080,5040,10080,10080,10080,525,3150,4725,
4725,4725,4725,4725,4725,9450,9450,9450,9450,9450,9450,9450,8400,8400,8400,
8400,8400,8400,2016,15120,14400,3150,3150,6300,3150,6300,3150,3150,3150,3150,
3150,6300,12600,6300,6300,6300,6300,6300,12600,12600,12600,2016,6048,6048,
2800,5600,5600,2520,5040,5040,5040,10080,10080,1575,1575,4725,4725,4725,4725,
4725,4200,8400,8400,2016,2016,2016,1890,1800,3360,525,525,1050,3150,3150,3150,
3150,3150,3150,3150,3150,3150,6300,6048,2800,2800,2800,840,2520,2520,5040,
5040,4725,4200,1008,2016,2016,2016,1890,1800,1800,1800,3360,525,525,1575,1575,
1575,1575,3150,3150,2800,2520,525,1008,2016,1890,1800,840,1575,1575,280,525,
525,525,1008,840,315,280,280,280,525,315,280,100,100,1,1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,9,10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,14,14,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,20,20,20,20,20,
20,20,20,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,25,27,28,30,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,40,40,40,40,42,42,42,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,50,50,
50,54,54,60,60,60,60,60,60,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,
72,72,72,72,72,75,80,84,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,100,100,100,108,108,108,120,120,120,120,120,120,128,128,128,128,128,128,
128,144,144,144,150,150,150,160,168,180,192,192,192,192,192,192,192,192,192,
192,192,192,192,200,216,216,216,240,240,240,240,240,256,288,300,300,300,300,
320,336,336,336,360,384,384,384,384,384,384,384,384,432,480,576,600,600,640,
672,720,768,768,1080,1152,1152,1152,1200,1440,1920,2160,2160,2160,2304,3840,
4320,6048,12096,604800,1209600],
[373,368,353,348,369,299,367,362,269,248,247,221,345,314,221,361,319,298,299,
289,221,127,277,221,127,257,346,275,248,318,345,294,247,247,247,221,97,163,
345,294,247,345,345,328,248,247,161,283,361,319,193,256,256,193,362,329,298,
252,133,299,298,221,277,221,218,277,221,277,218,220,221,221,221,127,127,257,
257,257,289,359,356,355,345,294,247,235,247,345,314,294,247,328,294,247,248,
247,161,292,248,161,294,247,247,247,247,294,294,294,294,247,247,283,189,189,
327,289,193,193,191,256,256,193,257,345,298,299,221,298,299,211,212,132,133,
275,276,212,277,221,218,277,277,277,277,277,221,218,277,221,220,221,221,351,
347,257,289,289,289,368,356,346,248,345,328,345,294,328,294,328,328,328,294,
294,294,247,247,294,247,294,294,292,248,294,294,294,247,294,299,298,189,327,
256,256,193,257,257,257,359,329,345,345,314,312,345,314,329,329,312,318,277,
275,276,212,275,276,277,277,277,277,277,277,221,351,319,319,347,283,362,361,
288,327,289,289,289,367,345,328,328,328,328,328,328,294,294,292,294,294,294,
292,298,299,298,299,299,298,351,256,257,345,345,314,345,314,345,345,345,345,
346,316,269,318,318,318,312,312,275,276,277,351,319,319,347,320,321,348,326,
327,324,288,289,356,355,328,328,328,328,328,329,298,299,351,351,351,352,353,
338,367,367,359,345,345,346,345,345,345,345,346,345,318,319,347,347,347,362,
348,348,326,327,328,329,361,351,351,351,352,353,353,353,338,367,367,355,355,
356,356,345,346,347,348,367,361,351,352,353,362,355,356,369,367,367,367,361,
362,368,369,369,369,367,368,369,371,371,373,373],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,6,5,6,6,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,2,
1,1,1,2,2,1,1,1,1,1,16,17,17,16,1,1,8,7,7,8,9,1,1,1,1,1,1,5,6,5,5,5,6,6,6,6,6,
1,26,26,1,1,1,2,13,13,13,13,13,2,2,2,2,2,2,2,2,2,4,2,2,4,13,13,13,13,13,13,2,
1,2,1,2,48,6,5,1,16,17,17,16,16,16,17,26,43,5,6,6,57,55,56,57,58,59,8,7,7,5,6,
5,5,1,2,23,23,24,23,2,4,23,24,24,1,5,26,16,5,79,2,7,7,10,2,2,2,2,7,7,7,2,7,13,
13,13,13,13,13,13,13,13,7,10,13,13,13,13,13,8,7,48,16,16,16,17,26,26,26,80,80,
124,124,124,124,43,43,8,7,43,81,63,55,56,57,55,56,63,23,63,23,13,23,24,152,16,
17,153,48,227,228,229,8,16,79,79,7,13,44,44,44,44,44,44,44,44,27,44,13,13,27,
61,60,188,187,55,57,152,53,26,124,124,124,124,124,43,43,124,43,80,197,198,208,
208,81,124,124,134,135,63,152,152,152,153,153,153,227,228,115,227,229,79,81,
82,92,81,44,92,82,80,188,187,255,255,152,158,304,227,234,234,80,88,203,197,
124,203,124,203,197,124,208,152,225,225,153,227,227,227,228,230,168,297,228,
255,152,255,303,304,304,304,305,307,306,234,306,234,307,203,267,281,284,234,
330,255,303,304,323,306,307,357,306,349,307,330,354,363,357,357,357,349,363,
357,370,370,372,372],
[(  1, 88)(  2, 22)(  4,  5)(  6, 98)(  7, 66)(  8, 24)(  9, 20)( 10, 75)
( 12, 74)( 13, 39)( 14, 45)( 15, 58)( 16, 46)( 17, 55)( 18, 96)( 19, 48)
( 21, 94)( 23, 76)( 26, 42)( 27, 65)( 29, 51)( 30, 86)( 31, 70)( 32, 71)
( 34, 78)( 35, 93)( 36, 56)( 37, 87)( 38, 67)( 40, 83)( 41, 59)( 43, 73)
( 47,100)( 49, 72)( 50, 77)( 52, 95)( 54, 84)( 57, 82)( 61, 91)( 62, 64)
( 69, 81)( 79, 97)( 89, 99),(  1, 59, 75,  7, 64)(  2, 84, 69, 93,  9)
(  3, 78, 51, 10, 30)(  4, 14, 20, 67,  8)(  5, 99, 43, 32, 46)
(  6, 54, 89, 11, 90)( 12, 33, 21, 56, 35)( 13, 58, 87, 49, 45)
( 15, 18, 76, 94, 37)( 16, 50, 88, 79, 27)( 17, 70, 52, 82, 38)
( 19, 91, 41, 73, 62)( 22, 55, 23, 65, 86)( 24, 61, 29, 98, 63)
( 25, 81, 96, 83, 48)( 26, 68, 77,100, 44)( 28, 92, 97, 57, 34)
( 31, 36, 72, 85, 47)( 39, 95, 60, 66, 42)( 40, 80, 74, 71, 53)],
[[[[]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2],[4,3],[5,-2]]],[[[1,1,2,-1,1,1,2,
1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1],[4,3],[5,-2]]],[[[2,1,1,-1],[2,
-1,3,-1],[4,1,3,-3,2,2,4,-1],[5,2],[6,4]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,
-1],[4,4]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[
6,1,3,1],[6,-2,3,1,6,1],[8,1,7,1,8,1,7,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
-2],[4,3],[5,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[6,1,7,1],[8,1,7,1,8,1,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,2,4,-2],[5,3],[1,1,2,1],[2,1,1,1,7,-1,2,-1,7,-1],[8,3],[6,1,9,1],[9,1,10,
1],[10,1,11,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1],[4,3],[5,-2]]],[[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[7,
1,8,-1,7,1,8,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[7,2,3,1,6,-1,7,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-1,7,1,8,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,7,1,8,
1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[7,1,6,2,3,1,6,-2,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[6,1,3,1],[6,2,7,2,6,-1,3,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
-2],[4,3]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1],[4,3]]],[[[1,1,2,1],[2,1,1,
1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,-1,
5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,
1,6,-2,2,1,7,-1],[8,2,5,-1,8,1,5,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,2,3,1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,-1,7,-2]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,1,7,1,3,1,6,-2,
7,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,1,7,-1],[5,-2,8,1,5,1,8,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,
3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,1,5,1,8,-2,5,
-2]]],[[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,4,-1],[5,2]],[[2,1,1,-1],[
3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[7,1,4,1,
7,1,4,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,1,6,1,3,1,6,-1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[7,1,6,1,7,1,3,1,6,-2,7,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,
2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,-2,6,-1,7,-1]]],[[[
1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2],[4,3],[1,1,2,-1,1,1,2,1,1,1,5,1],[6,2,5,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2],[4,3],[1,1,2,-1,1,1,2,1,1,1,5,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,
3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,
1,3,1],[7,2,6,1],[8,1,9,-1,8,1,9,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[8,1,6,1,8,1,7,2,6,1,8,-2]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,2]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,
7,1,8,1,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[7,1,6,1,3,1,6,-1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[8,1,7,-1,6,-1,7,2,8,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-1,6,1,5,2,6,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,1,7,
2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,
3,1],[3,1,6,-1,3,1,6,2,7,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,7,1,6,2,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,7,2,3,1,6,-1]]],[[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,
2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-3,7,-1,3,1,
6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-3,
3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,
1,3,1,6,-1,7,1,6,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[3,1,6,-1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,1,7,-1,3,1,6,1,7,2]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,7,-3,6,1,3,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,
3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,
-1,3,1,6,-2,3,1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[6,2,3,1,6,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,
2,1,5,1],[5,1,6,2,5,2,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[7,1,6,-3,7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[7,1,8,-1,7,1,8,1]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-2,3,1,6,
-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2],[4,3],[5,1,1,1,2,-1,1,1,2,1,1,1,5,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,
-1,3,1,6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[6,1,7,2,6,1,3,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1,7,-2,6,2,3,1]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,2,7,2,6,-1,3,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2],[8,1,
7,1,8,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,1],[6,2,7,2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1],[7,1,8,1,7,1,8,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2],[6,1,3,1,7,-1,3,1,6,1,7,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[7,2,
8,1,6,1,8,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,6,1,7,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,3,1,6,-1,7,
-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,
1,3,1],[7,1,8,2,6,1,8,1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[6,1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,1,7,1,3,1,6,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[
3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,
1,7,-1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,
1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,
2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,-1,7,-1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,2,5,-1,8,
1,5,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,1,7,-1],[8,1,5,1,8,1],[9,1,5,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,
4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,-1,5,-1,8,-1]],[[
1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,
-1],[5,-2],[8,-1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,
1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1],[9,2,8,1,5,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,1]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,7,-1,6,
-1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[6,1,3,1,7,-2,6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,-1,6,1,7,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2,7,-3,6,1]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,-1,7,1,
6,1,3,1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,
1],[6,1,5,1],[6,1,7,1,6,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,-2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[7,2,6,1,3,1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,-2,6,-1,7,-1]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,1,3,1,6,-2,
7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[
7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,
3,1],[3,1,6,2,7,-2,6,-1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,
-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,1,6,2,4,2]],[[2,1,1,-1],[3,1,2,-2,3,
-8,2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[6,1,4,1,6,2,4,
-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,
1],[7,2,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,
-1,2,1,1,1,6,-2],[5,1,7,3,5,-1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,
-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,-2]]],[[[1,1,2,
1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,
8,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,
6,-2,2,1,7,-1],[5,1,8,1,5,-2,8,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,
-2],[5,1,7,1],[7,1,8,2,7,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,
1],[2,-1,1,1,2,1,5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[6,1,3,1,6,-3,3,1,6,-1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,
-1,5,-2,2,2],[6,-2],[7,1,6,1,4,1,7,1,4,1,6,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,
1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,4,1],[8,1,7,-2,8,1,7,-1,8,1]]],[[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,2,7,
-2,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,
1],[6,1,7,-1,3,1,6,1,7,2]]],[[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,4,
-1],[5,2]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,
1,5,1,2,1,6,-1],[7,1,4,1,7,1,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,
-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,1,7,1,4,1,7,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,1,2,-1,1,1,2,1,5,-1]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,2,7,1,6,2,3,1]]],[[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,
1],[8,1,7,-1,5,1,7,1,8,-1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,
2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,1],[8,1,5,-2,7,1,8,2,7,1]]],[[[2,1,1,-1],[
3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,1,7,1,
4,1,7,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,
5,1,2,1,6,-1],[4,2],[8,1,4,1,8,1,7,-1,8,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-2,7,
-1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,
5,4,2,2,5,-1],[4,-1,6,1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,
-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,1,6,1,4,3]],[[2,1,1,-1],[3,1,2,-2,3,
-8,2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[6,1,4,-1,6,2,4,
1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,
1],[7,2,6,1,3,1,6,-1,7,-2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,-2],[4,3],[1,1,2,
-1,1,1,2,1,1,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,
1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1,5,-1,8,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,7,1,8,1,3,1,6,-1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[
7,2,6,1],[8,1,9,-1,8,1,9,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2],[8,1,7,1,8,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1],[7,1,8,1,7,1,8,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,
1,7,1,3,1,6,-1,7,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[3,1,6,1],[6,2,7,2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[8,1,7,-1,8,1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-3,6,2]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,7,2,3,1,6,-1]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-2,
3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,-1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[7,2,3,1,6,-1,7,1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,6,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,2,7,1,
3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[6,1,3,1],[6,1,7,1,6,1,7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1,7,-2,6,2,3,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,-3,3,1,6,-1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,2,3,1,7,
-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,
1,6,2,3,1,6,-2,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[6,1,7,1,6,1,7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-1,7,1,8,1]]],[[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[
8,1,7,1,8,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[6,1,3,1],[7,1,6,-3,7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[7,1,8,-1,7,1,8,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,7,
1,8,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[
3,1,6,1],[6,2,3,1],[7,1,8,-1,7,1,8,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,
1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,3,1],[6,1,8,-1,7,1,8,-1,7,1,8,
-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,
1],[3,1,6,-1,3,1,6,-1,7,2]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,-1,7,1,6,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[
6,1,7,1,8,-1,7,1,8,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[6,2,3,1,6,1,7,-2,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[7,1,8,-1,7,1,8,1]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-3,
7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,1],[7,2,6,1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,
1],[2,-1,1,1,2,1,5,1],[5,1,6,2,5,2,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-3,7,-1,3,1,6,1]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,6,1,3,1,8,-1,
7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,
6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[3,1,6,-2,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[3,1,6,-1,3,1,6,-1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,6,-1,7,2,6,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,1,5,1,6,1,5,2,6,1]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,7,2,3,1,6,
-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,
1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[
6,1,3,1,6,-1,7,-3]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,-3,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1,3,1,6,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[6,-3,3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1],[7,1,8,-1,7,1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1],[5,-3]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,1,3,1,6,-1,7,1]],[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,2,7,1,3,1,6,
-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[
7,1,3,1,6,-1,7,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,6,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2,6,-1]]],[[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,1,7,2,6,-1,3,1,6,
-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,
1,6,-2],[8,1,7,1,8,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,1,3,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,1,7,2,6,1,3,1]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-3,7,-1,3,
1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,
6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,1,6,1,3,1,6,-1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[7,1,6,1,7,1,3,1,6,-2,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,-1,7,-2]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,2,7,-2,6,-1]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,1,3,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,1,5,1,6,1,5,
2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,
2,1,7,-1],[8,1,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,
1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,-2,8,-1,5,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,1,
5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,1,7,-1],[8,1,5,-1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,
2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,
2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,-1,7,-1,5,-1,7,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,-1,7,-1,5,-1,7,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,
-2],[7,1,5,1,7,-1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,
1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,-1,5,-1,8,-1]],[[1,1,2,1],[2,1,1,
1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,-2,5,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,
2,1,7,-1],[5,1,8,1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,
1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1],[9,2,8,1,5,-2]]],[[[1,1,2,1],[2,1,
1,1],[3,-1,2,1,4,1,3,-1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,
1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,-1,8,1]]],[[[1,1,2,1],[2,
1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,1]],[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[5,-2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,
1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[6,-2,3,1,6,1],[7,1,8,1,7,-1,8,
-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,
1],[6,1,7,2,6,1,3,1,6,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[
2,-1,1,1,2,1,5,1],[6,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[6,2,3,1,6,1,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,2,7,-2,6,-1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,1,7,-1,3,1,6,1,7,2]]],[[[2,1,
1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[
7,1,4,1,7,1,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,
5,-4,2,1,5,1,2,1,6,-1],[4,1,7,1,4,1,7,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,
1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,2,7,1,4,2,7,1]]],[[[2,1,1,
-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,
1,7,1,4,1,7,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,
-4,2,1,5,1,2,1,6,-1],[7,1,4,-2,7,1,4,-1,7,-1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,
1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[7,1,4,2,7,1,4,2]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,-1,7,
-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,
6,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,
3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[7,1,3,1,7,-1,6,-1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,7,-1,6,1,3,1,6,-1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,
2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,-1,2,-1,1,1,2,1,5,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2,
7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,
3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,1,
6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,1,6,1,7,1,3,1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[3,1,6,-1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-1,3,1,6,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,1,6,1],[7,1,6,1,7,1,6,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,
2,3,1,6,-1,7,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[6,1,3,1],[7,2,8,1,6,1,8,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,
1,1,6,-2],[5,1,7,3,5,-1,7,-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,
1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,
-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,
-2]]],[[[2,1,1,-1],[2,-1,3,-1],[4,1,3,-3,2,2,4,-1],[2,1,1,-1],[6,1,2,-3],[7,1,
2,-1,6,-6,2,2,6,1,7,-1],[8,1,5,1]],[[2,1,1,-1],[2,-1,3,-1],[4,1,3,-3,2,2,4,
-1],[5,2],[6,4]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[4,1,6,1],[7,2,4,1,6,-1,7,1,6,1,7,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[
2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,3,1,6,-2,7,3,6,1]],[[1,1,2,-1,1,1,
2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,7,2,3,1,6,-1,
7,-1,6,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,
3,1,6,2,3,1,6,-2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-1,7,1,8,1]]],[[[2,1,1,-1],[3,1,2,-4,
3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,1,4,1,6,-1,7,-2]],[[2,1,1,
-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,2],[8,1,4,1,6,
-1,8,1]]],[[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,
1,5,1,2,1,6,-1],[7,1,4,1,7,1,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,
-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,2],[7,1,4,1,8,2]]],[[[2,1,1,
-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,4,1,7,1,6,1,
7,1,4,1,6,-1,7,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[6,1,4,1],[6,-2,4,1,6,1,7,1,6,1,7,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,2,7,2,6,-1,3,1]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,3,1,6,-1,8,-1,
7,-1]]],[[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,
5,1,2,1,6,-1],[4,1,7,1,4,2,7,1,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,
-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,2],[4,1,7,-1,8,-3]]],[[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-1,6,
-1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[6,1,7,1],[8,1,3,1,6,-1,8,-1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,-2,6,-1,7,-1]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[7,1,8,-1,6,-1,7,
2,8,1]]],[[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,
5,1,2,1,6,-1],[4,1,7,1],[7,1,8,-2,7,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,
1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,2],[8,1,7,-2,8,1,7,1]]],[[[1,
1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[
5,-1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[
7,1,6,-2,2,1,7,-1],[8,1,5,1,8,-1,5,-1,8,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,
1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[6,1,7,1],[8,1,6,-1,3,1,8,1,7,
1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,
1],[6,1,3,1,7,-1,6,-2,7,2]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,
-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,-1,6,1]],[[2,1,1,-1],[3,1,2,-2,3,-8,2,
1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,2,6,1,4,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,
-1],[8,-2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,
4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1,5,-1,8,1]],[[1,1,
2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,
2,5,1,8,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,
1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,-1,8,1]]],[[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,
6,2,7,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[6,1,3,1],[6,1,7,1,6,1,7,-1,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1,7,-2,6,2,3,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-3,3,1]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,6,1,
7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,
1,7,2,3,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[6,2,3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,2,3,1,6,2]]],[[[2,1,1,-1],[3,1,2,-1,3,-2,2,2],[4,-2]],[[2,1,1,
-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1,6,1,4,1,6,-1,4,1,
6,-1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[
7,2,6,1,4,1,7,-1,6,-1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[6,1,3,1,6,-3,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,2,3,1,7,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2,3,1,6,-2]],[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,2,3,1,6,-2,7,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,
1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,
1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,
1,3,1],[6,2,3,1,6,1,7,-2,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[7,2,6,1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,3,1]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,
-1,7,-2,6,2,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,1,3,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,1,6,1,3,1,6,-2]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,7,-1,
6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
-1,3,1,6,-3,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,1],[6,1,7,1],[8,1,7,1,8,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2],[8,1,7,1,8,1,7,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,
-2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[7,2,6,1,3,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,-1,3,1,6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,6,2,3,1,7,-1]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,7,2,3,1,6,-1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2,3,
1,6,-2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[7,1,6,-2,4,1,6,-2,7,-1]],[[2,1,1,-1],[3,1,
2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,-1,7,1,8,
-1,7,1,8,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,-1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,2,3,1,6,2,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,6,1,7,2,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,1,7,-1,3,1,6,1,7,2]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-2,
3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,2,6,1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,-1,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,-1,7,-2,6,2,3,1]]],[[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,7,1,6,1,
7,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,
2,6,1,3,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[6,1,7,-1,3,1,6,1,7,-1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[
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-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,
3,1,7,-1,6,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[3,1,6,-2,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[6,1,3,1],[6,2,3,1,6,1,7,-2,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,6,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,
-1,7,1,6,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,
1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1,3,1,6,1,3,1,6,-2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2]],[[2,1,1,-1],[
3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,-2],[7,1,4,1,6,-2,4,1,7,
1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,
4,1],[6,1,8,-1,7,1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,
1],[5,-3]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[
3,1,6,1],[7,2,6,1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,6,2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-1,6,2,5,1]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,2,3,1,7,
-1,6,1,7,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[
3,1,6,1],[7,1,3,1,7,-1,6,1,3,1,6,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,
1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[7,1,6,-1,3,1],[8,1,7,1,8,1,7,1]],[[1,1,
2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[5,-2]],[[1,1,2,
1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,
5,1,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[
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4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,1,5,1]],[[1,1,2,
1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,
8,-2,5,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,
1],[7,1,6,-2,2,1,7,-1],[8,2,5,-1,8,2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,
-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-2,8,2,5,1]]],[[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,1]],[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,
1],[8,3,7,1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,
5,-6,2,3,5,4,2,2,5,-1],[4,-1,6,1]],[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,
1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,1,6,3]]],[[[1,1,2,-1,1,1,2,1,1,
1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,3,1],[7,2,8,-1,7,1,
3,1,8,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,
1,3,1,6,1,3,1,6,-1,3,1,6,-1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,1,
1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,2,6,-1]],[[2,1,1,-1],[3,1,2,-2,3,-8,
2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,1,6,-1,4,-1,6,
-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,
2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[3,1,7,-1,6,1,3,1,6,-1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[6,2],[6,1,3,1,7,-1,3,1,6,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,1,6,1],[7,1,6,1,7,1,6,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,-2]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,
6,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,
1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,
3,1,6,2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,
1],[6,1,7,1],[8,1,7,1,8,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,
5,-2,2,2],[6,-2],[7,1,4,1,6,-2,4,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,
3,1,4,1],[2,-1,1,1,2,1,5,1],[6,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-1,7,1,3,1,8,1]]],[[[1,1,2,
-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1,6,1,3,1,6,-1,
3,1,6,-1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,
-1,3,1,6,1,3,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[6,-2],[7,1,4,1,6,-2,4,1,7,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,
2,-1,5,-2,2,2],[4,1,6,1],[6,1,7,1],[8,1,4,1,6,-1,8,-1,7,-1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,1,6,-1]],[[2,-1,1,1,
2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,-2]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,2,
6,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,
3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,1,3,1,6,-1,7,-2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,
-2,2,2],[6,1,4,1],[7,2,6,-1,4,1,6,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[4,1,6,-1,4,1,6,1,7,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1],[5,1,2,-1,1,1,2,1,5,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2,7,-2]]],[[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,1,3,1]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2,3,1]]],[[[
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7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,
-1,3,1,6,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,
1],[5,-1,6,1,5,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[7,1,3,1,7,-1,6,-1,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[6,-3,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1],[7,1,6,-1,7,1,3,1,6,1]]],[[[2,1,1,
-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[4,1,6,-1,4,1,6,
1,7,2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[
7,1,6,-2,4,1,6,-2,7,-1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,
-2,2,2],[6,1,4,1],[7,1,6,-1,4,1,7,1,6,-1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,-2,7,1,6,1,4,1,7,-1,6,1,4,1]]],[[[2,1,1,
-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,2,6,-2,4,
1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,
-2,7,1,6,1,4,1,7,-1,6,1,4,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,
-1,5,-2,2,2],[4,1,6,1],[6,1,4,1,7,1,6,1,7,1,4,1,6,-1,7,1]],[[2,1,1,-1],[3,1,2,
-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[6,-2,4,1,6,1,7,1,6,1,7,
2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,
4,1],[8,1,7,-1,6,-2,7,1,8,-1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,
2,-1,5,-2,2,2],[6,1,4,1],[7,2,6,-1,4,1,6,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,
1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[4,1,6,-1,7,1,6,1,4,1,6,-1,7,-2]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[6,1,
7,-1,3,1,6,1,7,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[6,1,3,1],[6,1,7,1,8,-1,7,1,8,1]]],[[[2,1,1,-1],[3,1,2,-3,3,-7,2,
1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,1,7,1,4,1,7,1]],[[2,1,
1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[
4,1,7,-1,4,-1,7,-1,4,-2]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,
-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[7,1,4,-2,7,1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,2,1,3,2],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,
1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,1,7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,
2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,1,5,1,7,1]]],[[[1,1,2,1],[2,
1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,
-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,
1,7,-1],[5,-1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[
2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,-1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,
1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,-1],[9,2,5,-2]]],[[[1,
1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[6,-2,3,
1,6,1],[8,1,7,1,8,1,7,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,
4,-2],[5,3],[6,1,3,1],[7,1,6,-1,3,1],[8,1,7,1,8,1,7,1]],[[1,1,2,-1,1,1,2,1,1,
1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,7,1],[8,1,7,1,6,1,3,
1,8,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,
1,6,1],[6,1,3,1,7,-1,6,-2,3,1,6,-1,7,1]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,
1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[7,2,3,1,6,-1,7,-2,6,-1]]],[[[2,1,1,-1],[
3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,4,-1],[5,2]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[
4,3]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,1,7,-1],[5,-1,8,2,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,
1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,2,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,-1],[4,3],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2],[5,
3],[1,1,2,1],[2,1,1,1,7,-1,2,-1,7,-1],[8,3],[6,1,9,1,6,1,9,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,
8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,
6,-2,2,1,7,-1],[5,-1,8,2,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,
-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,-2,5,-2]],[[1,1,2,1],[2,1,1,
1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,
2,1,7,-1],[8,-2,5,-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,
1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,
2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,1]],[[1,1,2,1],[
2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,-2,5,
-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,
2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,
1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[3,1,6,-1,3,1,6,-1,7,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,6,2]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-3,3,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,2]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,6,
-1,7,-3]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,
1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,
1,3,1],[7,2,6,-1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[3,1,6,-1,7,2,6,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,
4,-2,2,1,4,1,5,1],[6,1,3,1,6,-2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1],[7,2,3,1,6,1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,3,1,7,-1,6,1,7,1]],[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-2,7,
-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,
1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,
1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,
2,3,1,6,-1,3,1,6,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,
-3]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,
6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[7,2,3,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,-3]],[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,2,
6,-1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,
3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,1],[7,2,6,2,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,
1],[3,1,6,1],[3,1,6,-1,7,-1,6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,-3,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,
1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,1,6,1,3,1,6,
-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,
1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,
1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,
1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[6,1,3,1,7,-1,6,-2,7,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[
2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,1,6,2]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,1,3,1,6,-2]]],[[[2,1,1,-1],[
3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,1,7,
-2,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,
5,1,2,1,6,-1],[4,1,7,1,4,1,7,-1]]],[[[2,-1,1,1,2,1]],[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1,6,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-1,6,1,5,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-1,6,2,
5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[7,
1,6,-1,3,1,7,1,6,-1]]],[[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,4,-1]],[[
2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,
-1],[4,-1,7,2,4,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,1],[7,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,7,-1,6,1,3,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,-2,7,2]],[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,-2,7,1]]],[[[
1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,
-1],[8,1,5,1,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,
1,1,1],[7,1,6,-2,2,1,7,-1],[8,2,5,1,8,-1]]],[[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,
2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,-1,6,1]],[[2,1,1,-1],[3,
1,2,-2,3,-8,2,1,3,2,2,3],[2,1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[6,1,4,
-2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[
7,1,4,1,6,-1,7,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[4,1,6,1],[6,1,4,1,6,-1,7,1,6,1,7,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,2],[8,1,4,1,6,-1,8,1]]],[[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[6,1,
3,1],[6,1,7,1,8,-1,7,1,8,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,
-1,5,-2,2,2],[4,1,6,1],[6,1,4,1],[6,1,7,2,8,2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[
2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,-1,7,1,8,1,7,-1,8,
1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,
1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[
6,2,7,2,6,-1,3,1,6,-1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,
-2,2,2],[4,1,6,1],[6,1,7,1],[8,1,7,1,8,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,-1,7,1,8,1,7,-1,8,1]]],[[[
2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,1,6,1,7,
1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,
7,1,4,1,6,-1,7,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,
1,2,1,5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,
1],[6,1,7,1,3,1,6,-1,7,2,6,1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,
1,2,-1,4,-2],[5,3],[3,1,6,1],[6,1,3,1],[7,1,8,3,7,-1,8,1]],[[1,1,2,-1,1,1,2,1,
1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,-1],[7,2,3,1,6,1]]],[[[2,
1,1,-1],[3,1,2,-4,3,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,
-2,2,2],[4,1,6,1],[6,1,4,1],[6,1,8,-1,7,1,8,1,7,-1,8,1]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,-3]],[[2,-1,1,1,2,1],[
1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]]],[[[2,-1,1,1,2,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,
7,-1,6,1,3,1,6,-1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[6,2],[6,1,3,1,7,-1,3,1,6,1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[
5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1],[3,1,6,2,7,2]]],[[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,6,2]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,-1,7,1]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-2,3,1,
6,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,2,5,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-3,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,-3]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[3,1,6,-1,7,-1,6,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,1,2,-1,1,1,2,1,5,-1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,3,1,6,
-1,7,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,-1,3,1,6,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,
1,5,1],[5,-1,6,1,5,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[3,1,6,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,
4,1,5,1],[3,1,6,-1,3,1,6,-3]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,1],[6,-1,7,2,6,1,3,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[7,1,6,-1,4,1,7,1,6,-1]],[[2,1,1,-1],[3,1,2,
-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[7,2,6,-1,4,1,6,-2]],[[2,1,
1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1],[4,1,6,-1,4,1,
6,1,7,2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[5,-2]],[[1,1,2,1],[2,1,1,
1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,1,5,-2,7,-1]],[[1,
1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,-1,7,
3,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,
-2,2,1,7,-1],[8,1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[
2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[
4,2,3,-1,2,1,3,2],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[
1,1,6,-1,2,1,1,1,6,-2],[5,-1,7,2]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,
2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[3,1,6,1,7,-2,6,-2]],[[1,1,2,-1,1,1,2,1,1,
1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[7,1,6,-1,3,1,7,1]]],[[[
1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[3,1,6,1],[7,2,
6,1,3,1,6,1,7,2]],[[1,1,2,-1,1,1,2,1,1,1],[1,1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[
5,3],[3,1,6,1],[6,1,7,1],[8,1,7,1,6,1,3,1,8,-1]]],[[[1,1,2,-1,1,1,2,1,1,1],[1,
1,2,1],[2,1,4,2,1,1,2,-1,4,-2],[5,3],[6,1,3,1],[7,1,6,-1,3,1],[8,1,7,1,8,1,7,
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],[2,1,4,2,1,1,2,
-1,4,-2],[5,3],[3,1,6,1],[6,1,7,1],[8,1,7,1,6,1,3,1,8,-1]]],[[[2,1,1,-1],[3,1,
2,-3,3,-7,2,1],[4,-3]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[
6,1,5,-4,2,1,5,1,2,1,6,-1],[4,1,7,1,4,1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,
1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,1,8,1,5,1]],[[1,1,2,
1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[5,
-2,8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[5,-2]],[[1,1,2,1],[2,1,
1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,1,8,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,
2,1,7,-1],[5,1,8,1,5,-1,8,-2]]],[[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,
4,-1],[5,2]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,-4,
2,1,5,1,2,1,6,-1],[7,1,4,1,7,-1,4,-1,7,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
2,4,-2],[5,3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1],[4,3]]],[[[1,1,2,1],[2,1,1,
1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,-1,5,-1]],[[
1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[2,1,1,1],[7,1,6,-2,2,1,7,
-1],[5,1,8,-1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,1,3,-1],[1,1,2,1],[
2,1,1,1],[7,1,6,-2,2,1,7,-1],[8,1,5,-1,8,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-3,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,
1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1,3,1,6,-2]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1],[7,2,3,1,6,1]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,2]],[[2,-1,1,1,2,
1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[2,-1,
1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,2,3,1]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,2,3,1,6,-1,3,1,6,
-1,3,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,-2,7,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,1,3,1,4,1],[5,-3]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,
1,5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,
2,1,4,1,5,1],[6,1,3,1],[3,1,6,1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,
1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2]],[[2,
1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[7,2,6,1,4,1,
6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,
6,2,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,
1,6,1],[7,2,3,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,2]],[[
2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,2,3,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,1],[7,1,
6,1,7,1,3,1,7,-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,
4,1],[2,-1,1,1,2,1,5,1],[5,1,6,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,
-2,2,1,4,1,5,1],[6,2,3,1,6,-1,3,1,6,-2]]],[[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,
1,3,1,2,1,4,-1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,-1],[5,1,2,-2],[6,1,5,
-4,2,1,5,1,2,1,6,-1],[4,1,7,1,4,1]],[[2,1,1,-1],[3,1,2,-3,3,-7,2,1],[2,1,1,
-1],[5,1,2,-2],[6,1,5,-4,2,1,5,1,2,1,6,-1],[4,-1,7,2,4,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[5,1,7,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,-2],[7,3,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,1,1,1,6,
-2],[7,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[1,1,2,1],[1,1,6,-1,2,
1,1,1,6,-2],[5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,2],[5,-2]],[[1,
1,2,1],[1,1,3,-1,2,1,1,1,3,-2],[4,2]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,
-1],[5,1,2,-1,5,-2,2,2],[6,1,4,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,
1,2,-1,5,-2,2,2],[6,1,4,1],[6,-2,4,1,6,1],[8,1,7,2,8,1]]],[[[2,1,1,-1],[1,1,2,
-2,3,-6,2,3,3,4,2,2,3,-1],[4,-2]],[[2,1,1,-1],[3,1,2,-2,3,-8,2,1,3,2,2,3],[2,
1,1,-1],[1,1,2,-2,5,-6,2,3,5,4,2,2,5,-1],[4,1,6,2,4,1]]],[[[2,1,1,-1],[3,1,2,
-3,3,-7,2,1]],[[2,1,1,-1],[3,1,2,-2],[4,1,3,-4,2,1,3,1,2,1,4,-1],[5,2]]],[[[2,
-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[6,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[2,-1,1,1,2,1,5,1],[5,-1,6,2,5,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,1],[5,2]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,
1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,
1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,-2,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,
1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[6,1,3,1,6,-1,3,1]],[[2,-1,1,1,2,1],[1,1,
2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,-1,3,1,6,-3]],[[2,-1,1,1,2,1],[1,
1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,5,1],[3,1,6,2,3,1,6,2]]],[[[2,1,1,-1],[3,1,
2,-4,3,-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[6,1,4,
1,6,-1,4,1,6,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[4,1,6,-2,4,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,
2],[4,1,6,1],[7,2,6,1,4,1,6,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,
4,1],[5,1,2,-1,1,1,2,1,5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,-1,3,1,6,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,1,4,
1],[2,-1,1,1,2,1,5,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,1,4,1,
5,1],[3,1,6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,1],[2,1,1,1],[5,1,4,-2,2,
1,4,1,5,1],[3,1,6,1],[6,1,7,1,3,1,6,-1,7,1,6,2]]],[[[2,1,1,-1],[3,1,2,-4,3,
-2]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,
1,7,1],[8,2,7,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[
6,1,4,1],[7,1,6,-1,4,1],[8,1,7,1,8,1,7,1]]],[[[2,1,1,-1],[3,1,2,-4,3,-2]],[[2,
1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,1],[6,1,7,1],[8,
1,7,1,8,1]],[[2,1,1,-1],[3,1,2,-4,3,-2],[2,1,1,-1],[5,1,2,-1,5,-2,2,2],[4,1,6,
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LIBTOM( "J3",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],[1,2,7],[1,8],[1,2,3,9],[1,2,4,10],[1,
2,3,11],[1,2,5,6,12],[1,2,5,7,13],[1,2,6,7,14],[1,2,7,15],[1,2,5,7,16],[1,2,7,
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15,16,34],[1,2,5,6,7,12,14,16,35],[1,2,5,7,16,17,36],[1,2,5,6,7,12,16,37],[1,
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10,11,19,42],[1,2,4,10,20,43],[1,44],[1,2,6,8,21,22,23,45],[1,2,3,7,11,15,
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5,6,11,12,24,27,31,52,70],[1,2,3,5,7,11,15,16,27,32,46,71],[1,2,4,5,7,16,25,
33,72],[1,2,3,6,7,9,11,14,15,17,29,39,46,73],[1,2,3,5,6,7,9,11,13,14,17,27,28,
29,38,49,50,51,74],[1,2,3,4,10,11,18,19,41,42,53,75],[1,2,4,10,18,20,41,43,54,
76],[1,4,44,77],[1,2,4,5,8,10,21,25,78],[1,2,4,6,8,10,21,26,79],[1,2,4,6,8,10,
22,26,80],[1,2,4,6,8,10,22,26,81],[1,2,3,5,8,9,22,24,82],[1,2,3,6,8,9,11,21,
22,23,29,30,45,55,56,57,83],[1,2,5,6,7,12,14,15,16,31,32,33,35,37,59,61,84],[
1,2,5,6,7,12,13,14,15,16,17,32,33,34,35,36,37,38,39,58,60,61,62,63,85],[1,2,5,
6,7,12,14,15,16,17,32,33,35,36,37,60,61,86],[1,2,7,40,64,87],[1,2,3,4,5,7,10,
11,13,19,24,25,27,28,42,47,51,66,88],[1,2,4,7,10,17,18,41,65,89],[1,2,5,6,8,
12,31,90],[1,3,4,18,19,20,53,54,91],[1,2,4,5,6,7,10,12,14,16,25,26,31,35,37,
48,59,68,92],[1,2,3,5,6,7,9,11,12,13,14,15,16,17,28,29,34,35,36,38,39,46,50,
63,69,73,93],[1,2,3,5,6,7,11,12,14,16,24,31,35,37,52,59,67,94],[1,2,3,5,7,11,
13,15,16,27,28,32,34,46,51,58,69,71,95],[1,2,3,5,7,11,13,15,16,17,28,33,34,36,
46,49,62,69,96],[1,2,4,5,7,10,13,15,16,17,25,33,34,36,47,62,72,97],[1,2,3,4,7,
10,11,18,19,28,41,42,53,65,75,98],[1,2,3,5,6,8,9,11,12,21,22,23,24,29,45,52,
82,99],[1,2,5,6,7,12,13,14,15,16,17,31,32,33,34,35,36,37,38,39,58,59,60,61,62,
63,84,85,86,100],[1,2,7,17,40,64,87,101],[1,2,3,4,5,6,11,12,19,24,25,26,27,31,
52,66,67,68,70,102],[1,2,5,6,7,8,12,14,16,21,31,35,37,59,90,103],[1,2,5,7,8,
13,15,16,23,32,34,58,104],[1,2,3,4,10,11,18,19,20,41,42,43,53,54,75,76,91,
105],[1,4,20,44,77,106],[1,2,3,4,5,8,10,11,19,21,24,25,27,30,42,55,66,78,
107],[1,2,3,5,6,7,11,12,14,15,16,24,27,31,32,33,35,37,46,52,59,61,70,71,84,
108],[1,2,4,5,6,7,12,14,15,16,25,26,31,32,33,35,37,59,61,68,72,84,109],[1,2,3,
5,6,7,11,12,14,15,16,24,27,31,32,33,35,37,52,59,61,67,70,84,94,110],[1,2,3,5,
6,7,9,11,12,13,14,15,16,17,27,28,29,32,33,34,35,36,37,38,39,46,49,50,51,58,60,
61,62,63,69,71,73,74,85,93,95,96,111],[1,2,3,4,7,10,11,17,18,19,28,41,42,49,
53,65,75,89,98,112],[1,2,3,5,6,8,12,24,30,31,67,90,113],[1,3,4,18,19,20,53,54,
91,114],[1,2,3,4,5,6,7,10,11,12,14,16,19,24,25,26,27,31,35,37,42,48,52,59,66,
67,68,70,92,94,102,115],[1,2,5,6,7,8,12,13,14,15,16,17,21,22,23,32,33,34,35,
36,37,38,39,45,58,60,61,62,63,85,104,116],[1,2,4,5,7,8,10,13,18,21,25,41,47,
65,78,117],[1,2,4,5,6,7,10,12,13,14,15,16,17,25,26,31,32,33,34,35,36,37,38,39,
47,58,59,60,61,62,63,68,72,84,85,86,97,100,109,118],[1,2,3,5,6,7,11,12,13,14,
15,16,17,24,27,28,31,32,33,34,35,36,37,38,39,46,51,52,58,59,60,61,62,63,69,70,
71,84,85,86,95,100,108,119],[1,2,3,5,6,7,8,11,12,14,16,21,24,30,31,35,37,52,
55,59,67,90,94,103,113,120],[1,2,3,4,10,11,18,19,20,41,42,43,53,54,75,76,91,
105,114,121],[1,2,3,4,5,6,7,11,12,14,15,16,19,24,25,26,27,31,32,33,35,37,46,
52,59,61,66,67,68,70,71,72,84,94,102,108,109,110,122],[1,2,4,5,6,7,8,10,13,14,
17,18,21,22,23,25,38,41,45,47,65,78,89,117,123],[1,2,4,5,6,7,8,10,12,14,15,16,
21,25,26,31,32,33,35,37,48,59,61,68,72,78,79,84,90,92,103,109,124],[1,2,3,4,7,
10,11,18,19,20,28,41,42,43,53,54,65,75,76,91,98,105,114,121,125],[1,2,3,4,5,7,
8,10,11,13,18,19,21,24,25,27,28,30,41,42,47,51,53,55,65,66,75,78,88,98,107,
117,126],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,19,24,25,26,27,28,31,32,33,34,
35,36,37,38,39,42,46,47,51,52,58,59,60,61,62,63,66,67,68,69,70,71,72,84,85,86,
88,94,95,97,100,102,108,109,110,118,119,122,127],[1,2,3,5,6,7,8,9,11,12,13,14,
15,16,17,21,22,23,24,27,28,29,31,32,33,34,35,36,37,38,39,45,46,49,50,51,52,58,
59,60,61,62,63,69,70,71,73,74,82,84,85,86,93,95,96,99,100,104,108,111,116,119,
128],[1,2,3,4,7,10,11,17,18,19,20,28,41,42,43,49,53,54,65,75,76,89,91,98,105,
112,114,121,125,129],[1,2,3,4,5,6,7,8,9,10,11,13,14,17,18,19,21,22,23,24,25,
27,28,29,30,38,41,42,45,47,49,50,51,53,55,56,57,65,66,74,75,78,83,88,89,98,
107,112,117,123,126,130],[1,2,4,5,6,7,10,13,14,17,20,25,26,38,40,43,47,48,64,
87,101,131],[1,2,3,4,5,6,7,8,10,11,12,14,15,16,19,21,24,25,26,27,30,31,32,33,
35,37,42,46,48,52,55,59,61,66,67,68,70,71,72,78,79,84,90,92,94,102,103,107,
108,109,110,113,115,120,122,124,132],[1,2,4,6,8,10,20,21,22,23,26,43,44,45,77,
79,80,106,133],[1,2,4,6,8,10,20,21,22,23,26,43,44,45,77,79,81,106,134],[1,2,3,
5,6,8,9,12,22,24,30,31,40,56,64,67,82,90,113,135],[1,2,3,5,6,7,8,9,11,12,14,
16,21,22,23,24,29,30,31,35,37,40,45,52,55,56,57,59,64,67,82,83,87,90,94,99,
103,113,120,135,136],[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],[1,3,1],[1,3,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,
1,1,1],[1,7,1,6,1],[1,5,2,1,1],[1,5,2,1,1],[1,1,3,1],[1,3,1,2,1],[1,1,1,1],[1,
4,1],[1,3,1,1],[1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,7,1,3,2,1,1],[1,1,1,1],[1,15,5,30,
15,1],[1,3,1,6,4,3,1],[1,3,1,6,3,1],[1,7,3,4,3,1,3,1],[1,11,1,12,2,2,4,1,1],[
1,3,1,2,1,2,1],[1,7,1,6,4,1,2,1],[1,9,2,2,1,1,1,1,1],[1,5,2,3,1,1,1,1],[1,1],[
1,9,4,12,1,1],[1,3,3,1,1,3,1,1],[1,9,1,3,1,1],[1,1],[1,11,5,1,1,1,1,1],[1,1,4,
3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,1,1,1,1,3,1,1],[1,13,1,6,
1,4,1,3,1,2,1],[1,5,1,2,1,5,1,2,1,1],[1,7,4,1,6,4,1,1,1],[1,9,4,1,12,1],[1,4,
1,3,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,11,5,10,10,
10,15,5,10,1],[1,19,5,36,6,16,12,3,1,3,3,1],[1,3,1,6,4,3,4,1,2,1],[1,11,1,12,
10,2,4,4,5,1,1,1,4,1],[1,7,3,8,3,1,5,2,1,1,1,1],[1,15,3,12,4,2,3,4,1,3,2,1,1,
1,2,2,1],[1,17,1,1],[1,9,4,9,12,1,1,1],[1,3,9,4,1,3,4,2,1,1,1],[1,15,16,5,30,
15,20,1,1],[1,15,16,5,30,15,8,12,1,1],[1,7,4,3,4,4,3,1,3,4,1,1,1],[1,15,4,5,
30,12,15,1,4,1,3,1],[1,3,4,1,6,12,4,3,4,1,1,1],[1,3,16,1,6,3,4,1,1],[1,13,4,6,
3,8,4,3,1,3,4,3,1,1],[1,17,1,2,6,1,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,9,9,4,12,9,1,
12,1,12,1,1],[1,27,4,36,1,3,3,9,1,1],[1,19,1,1],[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],[1,23,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[1,27,9,60,18,30,36,12,9,2,3,
3,9,18,6,9,1],[1,19,5,12,14,2,10,4,10,17,4,5,1,10,1,2,4,4,4,1,1,1,2,2,1],[1,
11,1,12,10,2,4,4,5,8,1,1,1,4,4,2,1,1],[1,17,17,1,1,1],[1,9,9,4,4,3,4,9,3,4,2,
1,4,3,4,1,3,1,1],[1,9,4,9,12,9,1,1,1,1],[1,15,5,30,16,15,1,1],[1,9,4,1,12,9,1,
3,1],[1,27,16,5,48,18,16,18,36,9,8,12,1,9,9,12,3,1,1],[1,31,4,3,36,4,16,4,6,3,
12,1,3,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,19,16,5,36,6,16,16,12,3,20,1,3,3,4,1,1,
1],[1,11,4,5,10,20,10,10,15,8,4,5,10,1,4,1,1,2,1],[1,7,4,3,16,4,3,1,9,6,4,3,1,
3,1,4,3,1,1],[1,15,16,7,12,16,9,3,9,6,4,1,3,3,4,3,1,1],[1,9,9,4,9,12,9,1,12,9,
1,12,1,1,1,1],[1,31,10,5,30,6,20,10,5,6,6,6,5,10,6,5,1,1],[1,35,13,60,22,30,
10,36,18,21,12,2,7,3,10,9,6,18,12,12,1,6,3,9,6,6,1,3,3,1],[1,17,17,17,1,1,1,
1],[1,15,24,16,5,30,24,15,16,22,8,12,8,1,6,8,1,1,2,1],[1,35,5,60,30,16,20,60,
15,16,1,15,15,5,1,1],[1,11,5,10,16,10,10,15,16,5,10,1,1],[1,27,9,4,36,27,1,12,
9,3,36,9,1,3,3,1,1,1],[1,19,19,1,1,1],[1,15,21,10,5,6,10,15,10,6,10,5,5,6,10,
6,5,1,1],[1,27,16,9,60,18,48,30,36,12,9,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[
1,27,64,9,60,18,30,36,12,9,48,96,2,3,3,9,18,6,9,8,12,1,1],[1,27,16,9,60,18,48,
30,36,12,9,20,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,35,4,5,36,22,16,20,6,10,12,
10,21,12,8,4,8,5,3,10,3,6,12,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,9,
9,4,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[
1,9,4,1,12,36,1,12,4,1],[1,27,24,16,5,48,18,16,72,18,36,9,16,22,8,12,8,1,9,9,
16,12,18,3,8,1,1,2,1,3,1,1],[1,51,5,60,30,16,10,10,20,10,25,20,16,16,16,5,5,
10,5,10,20,20,20,16,1,5,5,10,10,5,1,1],[1,45,40,30,45,36,120,45,10,36,30,10,
30,10,12,1],[1,51,64,21,60,30,64,30,30,36,30,45,36,48,96,2,15,3,30,9,18,18,36,
36,16,3,6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,35,16,13,60,22,80,30,10,36,18,21,
12,8,32,16,2,7,3,10,9,6,18,12,12,12,16,24,1,6,3,9,6,6,4,8,16,1,3,3,4,1,1,1],[
1,35,16,5,60,30,16,80,20,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,81,9,
4,108,81,1,12,36,9,108,108,1,12,9,12,4,12,1,1],[1,27,48,64,9,60,18,144,30,36,
12,9,64,48,48,96,48,2,3,3,9,18,12,48,6,9,48,2,8,16,12,12,1,6,8,1,1,2,1],[1,81,
40,30,90,45,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,75,
160,25,180,90,96,160,90,180,60,45,96,160,360,6,15,15,45,90,120,30,45,30,60,16,
48,5,6,10,6,5,1],[1,81,9,4,81,108,81,1,12,36,81,9,108,108,1,12,9,9,12,4,9,12,
1,1,1],[1,45,81,40,30,45,36,120,45,45,10,120,36,60,30,30,45,36,10,120,30,45,
10,36,10,30,10,12,30,10,12,1,1],[1,51,48,64,21,60,30,64,240,30,30,36,30,45,36,
64,48,48,96,96,48,2,15,3,30,9,18,18,36,36,64,12,16,48,48,3,6,9,9,18,18,48,2,8,
12,16,24,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,131,40,45,300,70,96,160,
200,150,10,180,50,45,60,96,96,96,40,80,40,80,10,15,15,10,45,30,90,60,60,96,50,
40,40,40,120,1,30,15,45,30,30,10,40,60,20,40,16,5,15,15,10,10,10,16,5,6,5,10,
6,5,1],[1,81,9,4,81,108,81,243,1,12,36,81,9,108,108,81,1,12,9,9,12,27,4,9,12,
9,1,1,1,1],[1,153,81,40,30,270,45,36,36,120,45,45,135,135,10,120,36,108,108,
60,30,30,45,90,36,135,10,120,108,30,45,45,45,10,36,36,36,10,30,45,10,12,36,30,
30,10,12,10,1,3,1,1],[1,153,136,102,102,153,408,153,153,153,136,102,102,153,
18,136,102,102,18,18,18,1],[1,75,96,160,25,180,90,96,160,480,90,180,60,45,160,
96,140,160,360,160,96,6,15,15,45,90,160,60,120,180,96,30,45,160,6,30,60,60,60,
16,48,5,6,10,30,30,6,16,5,5,10,6,10,6,5,1,1],[1,171,190,285,171,570,190,171,
171,171,285,190,20,171,20,57,57,20,1],[1,171,190,285,171,570,190,171,171,171,
285,190,20,171,20,57,57,20,1],[1,255,136,85,510,136,680,255,408,340,136,17,
120,136,120,17,68,17,17,1],[1,323,136,85,1020,510,136,816,680,340,1020,255,
136,408,408,340,680,136,17,255,255,120,408,340,136,136,136,85,120,17,68,136,
120,17,85,68,17,17,17,1,1],[1,26163,23256,103360,43605,523260,261630,837216,
837216,2790720,1046520,261630,261630,1569780,261630,392445,1569780,25840,
310080,930240,837216,2511648,2511648,348840,697680,2093040,697680,1046520,
2093040,837216,17442,130815,130815,261630,392445,784890,784890,1569780,
1569780,369360,232560,2790720,2790720,293760,2511648,261630,697680,2093040,
1046520,1046520,1046520,1046520,25840,310080,837216,837216,837216,26163,
261630,392445,392445,784890,784890,369360,232560,697680,17442,174420,261630,
348840,523260,523260,523260,1046520,232560,310080,293760,279072,837216,837216,
837216,418608,837216,43605,392445,392445,369360,697680,697680,104652,103360,
174420,261630,261630,261630,261630,523260,232560,418608,130815,369360,174420,
104652,156978,310080,293760,279072,43605,43605,87210,261630,232560,104652,
25840,174420,156978,23256,43605,130815,104652,25840,43605,69768,17442,25840,
23256,43605,26163,25840,23256,20520,17442,14688,14688,6156,6156,1]],
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16,16,16,16,16,16,16,17,18,18,18,19,20,24,24,24,24,24,24,24,27,27,30,30,30,32,
32,32,32,32,32,34,36,36,48,48,48,48,48,48,48,48,54,54,57,60,60,60,60,60,60,64,
64,64,68,72,72,80,81,96,96,96,96,96,96,108,120,128,136,144,160,160,162,171,
180,192,192,192,192,216,240,243,288,320,360,384,384,480,486,576,720,960,972,
1080,1152,1920,1944,2160,2448,2880,3420,3420,4080,8160,50232960],
[137,128,130,121,127,92,111,83,83,42,74,110,111,63,111,100,63,129,105,76,83,
45,45,102,88,48,88,74,50,83,132,119,118,111,100,85,84,63,63,101,112,42,43,106,
45,111,88,48,74,74,74,70,129,105,83,83,83,128,110,100,100,85,85,101,112,88,
132,115,111,102,95,97,93,74,112,105,106,107,79,80,81,99,83,127,100,100,101,88,
89,120,121,115,111,110,111,111,97,112,99,119,101,115,120,116,105,106,107,127,
127,122,111,112,120,129,115,116,130,127,119,120,129,127,123,132,129,130,127,
128,129,130,131,132,133,134,136,136,137],
[1,1,1,1,1,1,1,1,3,4,1,1,2,2,2,1,1,1,1,1,8,8,1,5,5,6,1,1,3,1,1,2,1,2,2,2,2,7,
7,1,18,4,20,1,8,15,25,26,3,11,2,5,1,1,8,30,3,2,5,5,5,7,7,40,18,5,31,31,15,5,
15,33,46,28,18,54,44,78,79,80,81,82,30,5,16,16,40,25,18,31,4,68,46,31,15,46,
72,18,82,32,40,31,90,58,54,44,78,84,84,31,69,53,31,53,68,104,117,109,84,90,
114,84,117,124,114,117,109,128,114,126,131,124,133,134,135,135,137],
[(   1,2787)(   2,2486)(   3,3616)(   4,3977)(   5,2766)(   6,3954)(   7,1919)
(   8,2905)(   9,4774)(  10,1830)(  11,5026)(  12,1616)(  13,4348)(  14,4786)
(  15,4610)(  16, 264)(  17, 446)(  18,2767)(  19,5058)(  20,1813)(  21,4395)
(  22,3190)(  23,5027)(  24,1220)(  25,3195)(  26,2542)(  27,3740)(  28,2103)
(  29,5666)(  30,2838)(  31,1152)(  32,3891)(  33,4962)(  34, 540)(  35,1446)
(  36,1008)(  37,3401)(  38,3148)(  39,5773)(  40,5904)(  41,2264)(  42,2265)
(  43,1718)(  44,3370)(  45, 263)(  46,2562)(  47,3198)(  48,1890)(  49, 937)
(  50,2543)(  51,2934)(  52,2935)(  53,1057)(  54,5994)(  55,1140)(  56,2839)
(  57,3903)(  58, 435)(  59, 732)(  60, 605)(  61, 995)(  62,3204)(  63, 894)
(  64,1219)(  65,1447)(  66,2143)(  67,1256)(  68, 597)(  69,1848)(  70,3250)
(  71, 950)(  72,1529)(  73,1053)(  74,1339)(  75,4674)(  76,2697)(  77,3875)
(  78,1777)(  79,1719)(  80, 703)(  81,1829)(  82,3890)(  83,1821)(  84,2774)
(  85,4028)(  86,4029)(  87,4405)(  88,2299)(  89,3402)(  90, 938)(  91,3682)
(  92, 613)(  93,3938)(  94,4975)(  95,4125)(  96,1058)(  97,2112)(  98,4919)
(  99,4956)( 100,2967)( 101,1823)( 102,2682)( 103,3961)( 104,5864)( 105,6138)
( 106,3678)( 107,3398)( 108,1199)( 109,2932)( 110,2364)( 111,1600)( 112,1726)
( 113, 576)( 114,1451)( 115,1666)( 116,3132)( 117,1685)( 118,2257)( 119,2365)
( 120,1940)( 121, 967)( 122,3910)( 123,2857)( 124, 598)( 125,1007)( 126,2760)
( 127, 828)( 128,1350)( 129,3805)( 130,2895)( 131,1990)( 132,1143)( 133,1144)
( 134, 640)( 135,4675)( 136, 696)( 137,5512)( 138,3953)( 139, 872)( 140,2721)
( 141,2636)( 142, 434)( 143,6043)( 144,5909)( 145, 899)( 146, 604)( 147,2494)
( 148,1629)( 149, 911)( 150, 912)( 151,3960)( 152,2799)( 153,3991)( 154,5132)
( 155,4861)( 156, 955)( 157,3285)( 158,4482)( 159,4584)( 160,1512)( 161,1372)
( 162,2566)( 163,1592)( 164,3637)( 165,4797)( 166,3483)( 167,3484)( 168,4724)
( 169,5204)( 170,2185)( 171,1690)( 172, 575)( 173,3670)( 174,4829)( 175,3753)
( 176,1074)( 177,1108)( 178,4211)( 179,2564)( 180, 895)( 181,1394)( 182,1763)
( 183,4411)( 184,4746)( 185,5979)( 186,2876)( 187,2877)( 188,1845)( 189,1889)
( 190, 418)( 191,3551)( 192,3552)( 193,1508)( 194,3413)( 195,1727)( 196,1092)
( 197,1739)( 198,2262)( 199,3278)( 200,4525)( 201,5219)( 202,5220)( 203, 821)
( 204,1535)( 205,1478)( 206,1269)( 207,1750)( 208, 858)( 209, 968)( 210,5543)
( 211,5540)( 212,2100)( 213, 804)( 214, 363)( 215, 472)( 216,2752)( 217,4108)
( 218,2393)( 219,2447)( 220,2448)( 221,2110)( 222,5458)( 223,4940)( 224,1526)
( 225,2992)( 226,1351)( 227,4709)( 228,4780)( 229, 293)( 230,3807)( 231,5605)
( 232,1970)( 233,1804)( 234,1805)( 235,1550)( 236,2398)( 237,2370)( 238, 873)
( 239,2674)( 240,3846)( 241,3799)( 242,3677)( 243,4380)( 244,2668)( 245,1169)
( 246,1852)( 247,5829)( 248, 417)( 249,1939)( 250,1365)( 251, 653)( 252,1630)
( 253,2345)( 254,2346)( 255,3784)( 256,1217)( 257,1134)( 258,1802)( 259,5103)
( 260,1039)( 261,4862)( 262,3767)( 265,3895)( 266,3509)( 267,3407)( 268,5547)
( 269,2348)( 270,1245)( 271, 893)( 272,1450)( 273,2567)( 274,3909)( 275,1290)
( 276,2020)( 277,2171)( 278,3232)( 279,5227)( 280,6098)( 281,5606)( 282,2459)
( 283,4725)( 284,1809)( 285,5330)( 286, 827)( 287,5853)( 288,5987)( 289,2593)
( 290,2641)( 291,2074)( 292,2039)( 294, 386)( 295,5624)( 296,2111)( 297,2263)
( 298,5705)( 299,6103)( 300,1109)( 301,3867)( 302,3742)( 303,1324)( 304, 896)
( 305, 517)( 306, 669)( 307, 751)( 308, 345)( 309,5193)( 310,5194)( 311,5166)
( 312,1781)( 313,3985)( 314,3986)( 315,4069)( 316, 908)( 317, 936)( 318,2865)
( 319,5659)( 320, 648)( 321, 595)( 322,1301)( 323,2037)( 324,4720)( 325, 730)
( 326,2493)( 327,5351)( 328,3702)( 329,2648)( 330,1532)( 331,5907)( 332,4682)
( 333,2667)( 334,2342)( 335,2798)( 336,2178)( 337,3244)( 338,4526)( 339,3513)
( 340,4696)( 341, 378)( 342, 578)( 343, 745)( 344,2210)( 346, 521)( 347,6114)
( 348,5390)( 349,5128)( 350,5129)( 351, 397)( 352,1558)( 353,1025)( 354,4582)
( 355,4583)( 356,3992)( 357,2101)( 358,1591)( 359,1311)( 360,3636)( 361,3745)
( 362,2106)( 364,5173)( 365,2726)( 366,1424)( 367,5025)( 368,2394)( 369,2172)
( 370,3233)( 371,3574)( 372,3094)( 373,1400)( 374,4181)( 375,4182)( 376,4941)
( 377,1527)( 379,4191)( 380,3349)( 381,5964)( 382,5307)( 383,1456)( 384, 700)
( 385,3024)( 387,1073)( 388,5379)( 389,5984)( 390,5428)( 391,4518)( 392,4658)
( 393,5147)( 394,2737)( 395,3877)( 396,2755)( 398, 591)( 399,1212)( 400,1106)
( 401,1331)( 402,3203)( 403,4863)( 404,4864)( 405,4984)( 406,2720)( 407,4171)
( 408, 845)( 409, 660)( 410,2349)( 411,1200)( 412,1388)( 413,3809)( 414,3810)
( 415,2819)( 416,4528)( 419,5229)( 420,5949)( 421,4806)( 422, 534)( 423, 884)
( 424, 654)( 425,1142)( 426,2308)( 427,4110)( 428,4953)( 429,3319)( 430,2127)
( 431, 666)( 432,2985)( 433,1950)( 436,2750)( 437,5848)( 438,2205)( 441,4200)
( 442,4697)( 443,3862)( 444,5082)( 445,5083)( 447,3748)( 448,4458)( 449,3510)
( 450,1853)( 451, 913)( 452,5541)( 453,2460)( 454,2289)( 455,1194)( 456,4994)
( 457,4995)( 458,1596)( 459,1597)( 460,2261)( 461,2968)( 462,4831)( 463,1052)
( 464,1684)( 465,4046)( 466,4021)( 467,3031)( 468,3710)( 469,4281)( 470,4434)
( 471,5228)( 473,3084)( 474,3085)( 475,1268)( 476,2579)( 477,3858)( 478, 820)
( 479,1335)( 480,5697)( 481,4176)( 482,3696)( 483,2651)( 484,3524)( 485,1941)
( 486,6149)( 487,3100)( 488,4451)( 489,1621)( 490,2495)( 491,5693)( 492,5929)
( 493,1021)( 494,4730)( 495,2969)( 496, 651)( 497,5371)( 498, 829)( 499,1061)
( 500,4708)( 501,2104)( 502,2105)( 503,1999)( 504,3001)( 505,5990)( 506,1766)
( 507,2643)( 508,4132)( 509,4695)( 510,3743)( 511,1107)( 512,1255)( 513, 779)
( 514,3331)( 515,3023)( 516,4218)( 518, 964)( 519,4130)( 520,2409)( 522, 848)
( 523, 900)( 524,5906)( 525,3474)( 526,2673)( 527,2303)( 528,2430)( 529,3970)
( 530,2669)( 531,3251)( 532,4113)( 533,3927)( 535,4379)( 536,2431)( 537,1736)
( 538,1911)( 539, 714)( 541,1832)( 542,2791)( 543, 596)( 544,2884)( 545,2655)
( 546,3055)( 547,5230)( 548,1236)( 549, 731)( 550,1765)( 551,1932)( 552, 963)
( 553,5899)( 554,6034)( 555,3703)( 556,3412)( 557,4062)( 558,4063)( 559,3221)
( 560,1035)( 561,1660)( 562,3838)( 563,3837)( 564, 935)( 565,1195)( 566, 693)
( 569,2151)( 570,2152)( 571,4239)( 572,5509)( 573, 672)( 574,3766)( 577,3014)
( 579,2714)( 580,4744)( 581,4987)( 582,1812)( 583,2764)( 584, 863)( 585,2184)
( 586,1100)( 587,3761)( 588,3188)( 589,4394)( 590,5862)( 592, 761)( 593,2406)
( 594, 892)( 599,3945)( 600,2285)( 601,3399)( 602,2272)( 603, 791)( 606,2053)
( 607,2170)( 608,5886)( 609,5887)( 610,3365)( 611,4548)( 612,2107)( 614,5686)
( 615,5823)( 616,6132)( 617, 686)( 618,2988)( 619,1595)( 620,3508)( 621,1808)
( 622,6077)( 623,6078)( 624,4435)( 625,4739)( 626,1693)( 627,4301)( 628,5709)
( 629,1293)( 630,2026)( 631,4173)( 632,3128)( 633,2926)( 634,5232)( 635,1906)
( 636,1567)( 637,2287)( 638,1981)( 639, 987)( 641,1866)( 642,1867)( 643,2734)
( 644,3917)( 645,5308)( 646,4044)( 647,4045)( 649,3025)( 650,2758)( 652,5704)
( 655,5778)( 656,4409)( 657,6111)( 658,3806)( 659,2691)( 661, 690)( 662,5325)
( 663,5283)( 664,5870)( 665, 930)( 667,2722)( 668,3941)( 670,1912)( 671, 972)
( 673,1547)( 674, 983)( 675,1582)( 676, 864)( 677,4684)( 678,2282)( 679,3381)
( 680,4413)( 681,5435)( 682,4099)( 683,1120)( 684,1419)( 685,3211)( 687,1015)
( 688,2428)( 689,2429)( 691,4119)( 692,5198)( 694,1378)( 695,1888)( 697,4960)
( 698,4779)( 699,4529)( 701,3844)( 702,3845)( 704,1300)( 705,4436)( 706,5865)
( 707,5788)( 708,3044)( 709,3170)( 710,1706)( 711,1434)( 712,1075)( 713,3946)
( 715,5378)( 716,5298)( 717,3641)( 718,4449)( 719,2684)( 720,3197)( 721,1797)
( 722,1531)( 723,2128)( 724,6083)( 725,4731)( 726,5632)( 727,4475)( 728,2710)
( 729, 971)( 733,3936)( 734,3481)( 735,5727)( 736,2177)( 737,4521)( 738,4993)
( 739,4897)( 740,5559)( 742,5683)( 743,4243)( 744,5840)( 746,6007)( 747,5333)
( 748,4459)( 749,1418)( 750, 914)( 752,3045)( 753,6086)( 754,3974)( 755,4722)
( 756,1160)( 757,5648)( 758,5032)( 759,4001)( 760,1247)( 762,5794)( 763,2930)
( 764,2683)( 765,2458)( 766,3354)( 767,1024)( 768,1581)( 769,3119)( 770,4319)
( 771,5322)( 772,5925)( 773,2586)( 774,1019)( 775,1634)( 776,2309)( 777,4226)
( 778,2209)( 780, 852)( 781,5287)( 782,5447)( 783,3730)( 784,5920)( 785,4979)
( 786,4043)( 787,5009)( 788,5452)( 789,3850)( 790,4292)( 792,4051)( 793,5661)
( 794,5662)( 795,3859)( 796,5024)( 797,5346)( 798,5974)( 799,2092)( 800,4266)
( 801,1391)( 802,5112)( 803,5113)( 805,2652)( 806,4664)( 807,2909)( 808,1942)
( 809,5713)( 810, 861)( 811,1665)( 812,5028)( 813,3107)( 814,4163)( 815, 823)
( 816,3624)( 817,2440)( 818,3562)( 819,4754)( 822,2970)( 824,3348)( 825,5372)
( 826,5963)( 830,2782)( 831,4854)( 832,4240)( 833,3772)( 834,4922)( 835,3139)
( 836,5233)( 837,3932)( 838,5689)( 839,2136)( 840,2702)( 841,4344)( 842,4740)
( 843,2981)( 844, 881)( 846,2941)( 847,3333)( 849,4657)( 850,4625)( 851,5568)
( 853,1793)( 854,1176)( 855,2679)( 856,3853)( 857,5278)( 859,5464)( 860,5465)
( 862,1238)( 865,2960)( 866,4156)( 867, 901)( 868,5678)( 869,2149)( 870,1908)
( 871,4566)( 874,1542)( 875,4201)( 876,4655)( 877,2670)( 878,1755)( 879,4939)
( 880,4114)( 882,1491)( 883,2207)( 885,4066)( 886,2625)( 887,3185)( 888,5275)
( 889,3617)( 890,1737)( 891,2993)( 897,3230)( 898, 981)( 902,2656)( 903,4254)
( 904,5231)( 905,6025)( 906,1403)( 907,1198)( 909,4810)( 910,3183)( 915,1226)
( 916,5037)( 917,2410)( 918,1487)( 919,1860)( 920,4109)( 921,5477)( 922,5866)
( 923,2598)( 924,2599)( 925,3222)( 926,3006)( 927,3007)( 928,2553)( 929,3839)
( 931,4978)( 932,1983)( 933,1125)( 934,1786)( 939,1779)( 940,2718)( 942,5245)
( 943,4166)( 944,3208)( 945,2989)( 946,1413)( 947,4131)( 948,4846)( 949,4847)
( 951,5869)( 952,2575)( 953,2576)( 954,4212)( 956,2597)( 957,1810)( 958,1811)
( 959,4988)( 960,4970)( 961,4971)( 962,3951)( 965,3762)( 966,2290)( 969,5420)
( 970,5406)( 973,4492)( 974,4619)( 975,5565)( 976,3523)( 977,2813)( 978,2094)
( 979,2095)( 980,4819)( 982,1404)( 984,2323)( 985,4830)( 986,1157)( 988,2943)
( 989,4135)( 990,3367)( 991,2852)( 992,1420)( 993,6008)( 994,6124)( 996,3074)
( 997,3709)( 998,1258)( 999,1975)(1000,4499)(1001,4412)(1002,4736)(1003,3016)
(1004,4082)(1005,4763)(1006,2826)(1009,4142)(1010,1229)(1011,1930)(1012,5772)
(1013,6084)(1014,6109)(1016,1679)(1017,5183)(1018,3494)(1020,3229)(1022,6081)
(1023,6082)(1026,6144)(1027,5448)(1028,3563)(1029,3695)(1030,5646)(1031,6091)
(1032,5347)(1033,5205)(1034,1186)(1036,5126)(1037,5127)(1038,3039)(1040,3129)
(1041,2927)(1042,3249)(1043,1620)(1044,4557)(1045,2788)(1046,1568)(1047,5156)
(1048,4341)(1049,5377)(1050,3477)(1051,2008)(1054,5635)(1055,5168)(1056,2840)
(1059,5039)(1060,5468)(1062,4431)(1063,4357)(1064,4100)(1065,4662)(1066,4220)
(1067,3741)(1070,1998)(1071,2479)(1072,3610)(1076,2509)(1077,2510)(1078,2644)
(1079,6097)(1080,1724)(1081,2145)(1082,4702)(1083,4703)(1084,1129)(1085,2573)
(1086,3718)(1087,3625)(1088,5599)(1089,1254)(1090,5383)(1091,3754)(1093,4699)
(1094,5054)(1095,2014)(1096,2438)(1097,2439)(1098,2765)(1099,1565)(1101,5613)
(1102,6122)(1103,5569)(1104,2305)(1105,1346)(1110,2583)(1111,3126)(1112,4322)
(1113,5991)(1114,5992)(1115,4471)(1116,2385)(1117,1481)(1118,5018)(1119,5019)
(1121,3614)(1122,1953)(1123,2950)(1124,3694)(1126,4338)(1127,2594)(1128,3553)
(1130,3926)(1131,3843)(1132,3504)(1133,5154)(1135,5760)(1136,1379)(1137,1575)
(1138,2391)(1139,1227)(1141,5389)(1145,4184)(1146,1831)(1147,1513)(1148,1514)
(1149,1580)(1150,2436)(1151,4983)(1153,2883)(1154,2815)(1155,4004)(1156,3580)
(1158,1587)(1159,4432)(1161,5033)(1162,5034)(1163,1707)(1164,2234)(1165,3266)
(1166,1716)(1167,1875)(1168,2164)(1170,5182)(1171,2108)(1172,3142)(1173,5895)
(1174,5896)(1175,3642)(1177,1389)(1178,1506)(1179,1722)(1180,4493)(1181,1798)
(1182,4061)(1183,4551)(1184,2784)(1185,2622)(1187,1756)(1188,5442)(1189,5546)
(1190,4927)(1191,3870)(1192,4643)(1193,2711)(1196,4578)(1197,2809)(1201,5050)
(1203,5381)(1204,4317)(1205,2584)(1206,2880)(1207,2881)(1208,2574)(1209,1330)
(1210,3555)(1215,4244)(1216,5988)(1218,2165)(1221,5334)(1222,3795)(1223,1776)
(1224,6061)(1225,5159)(1228,2017)(1230,4242)(1231,4914)(1232,4508)(1233,2779)
(1234,2780)(1235,2959)(1237,2139)(1239,1401)(1240,2925)(1241,1971)(1242,4002)
(1243,3906)(1244,2216)(1246,5980)(1248,5264)(1249,3606)(1250,1395)(1251,3043)
(1252,1816)(1253,2685)(1257,1997)(1259,4880)(1260,4656)(1261,5589)(1262,6088)
(1263,3731)(1264,2295)(1265,4421)(1266,5440)(1267,2516)(1270,5682)(1271,6009)
(1272,3374)(1273,1386)(1274,4519)(1275,3842)(1276,5315)(1277,3070)(1278,4275)
(1279,5877)(1280,3364)(1281,3076)(1282,2230)(1283,1412)(1284,1946)(1285,1537)
(1286,1538)(1287,2174)(1288,5340)(1289,4814)(1291,5081)(1292,1320)(1294,1864)
(1295,2834)(1296,5881)(1297,3355)(1298,4750)(1299,5425)(1302,5317)(1303,3125)
(1304,2044)(1305,2527)(1306,1842)(1307,1843)(1308,2762)(1309,3949)(1310,4691)
(1312,2701)(1313,3145)(1314,6029)(1315,5845)(1316,2910)(1317,2936)(1318,4844)
(1319,4751)(1321,4456)(1322,5463)(1323,4172)(1325,5109)(1326,3391)(1327,3106)
(1328,1340)(1329,4781)(1332,4729)(1333,2996)(1334,2286)(1336,3579)(1337,4646)
(1338,5012)(1341,3426)(1342,3257)(1343,3840)(1344,5745)(1345,1790)(1347,1762)
(1348,4942)(1349,3933)(1352,3849)(1353,2258)(1354,2259)(1355,4241)(1356,5091)
(1357,5092)(1358,5751)(1359,2757)(1360,1872)(1361,3911)(1362,3764)(1363,5312)
(1364,5690)(1366,4126)(1367,2407)(1368,3261)(1369,5950)(1370,1374)(1371,1375)
(1373,1589)(1376,1771)(1377,2690)(1380,5225)(1381,1425)(1382,1426)(1383,3093)
(1384,1661)(1385,5939)(1387,1879)(1390,1644)(1392,4989)(1393,4560)(1396,1962)
(1397,1966)(1398,2355)(1399,5851)(1402,2921)(1405,5786)(1406,4855)(1407,1461)
(1408,3521)(1409,5679)(1410,2281)(1411,2483)(1414,5071)(1415,5831)(1416,2995)
(1417,1601)(1421,1598)(1422,3841)(1423,3210)(1427,4083)(1428,4153)(1429,4067)
(1430,4068)(1431,5118)(1432,5391)(1433,3282)(1435,2929)(1436,2319)(1437,3430)
(1438,3771)(1439,3458)(1440,3186)(1441,2125)(1442,3169)(1443,2011)(1444,2664)
(1445,1749)(1448,4990)(1449,3801)(1452,4778)(1455,3231)(1457,4189)(1458,1686)
(1459,2045)(1460,1675)(1462,3827)(1463,2519)(1464,4497)(1465,4120)(1466,5133)
(1467,5867)(1468,5806)(1469,2190)(1470,1539)(1471,1887)(1472,2863)(1473,4087)
(1474,4088)(1475,3184)(1476,6139)(1477,5868)(1479,6142)(1480,6155)(1482,5038)
(1483,4342)(1484,2191)(1485,5658)(1486,5548)(1488,4536)(1489,5453)(1490,1794)
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(3685,5893)(3691,3966)(3692,5107)(3693,4661)(3697,6100)(3698,6059)(3699,4495)
(3700,5573)(3701,4947)(3704,5944)(3708,4073)(3711,3995)(3712,5108)(3713,4928)
(3714,4623)(3715,4146)(3716,6151)(3717,4162)(3719,5732)(3720,5419)(3721,3786)
(3724,4559)(3726,5625)(3727,4207)(3732,4606)(3733,6123)(3734,6152)(3735,4446)
(3737,4727)(3738,5590)(3744,5066)(3749,3800)(3752,4929)(3756,6031)(3763,5588)
(3770,5000)(3774,4097)(3775,5089)(3776,5042)(3787,4195)(3788,6092)(3789,5142)
(3792,4934)(3797,4910)(3798,5908)(3803,5496)(3804,5500)(3813,4192)(3814,5259)
(3815,5856)(3816,5999)(3817,6032)(3818,4542)(3819,4668)(3820,4298)(3821,5138)
(3822,6023)(3823,6017)(3826,5952)(3828,5779)(3829,4058)(3830,6137)(3832,4805)
(3833,6147)(3847,4818)(3860,4090)(3861,5174)(3868,4193)(3869,5766)(3873,3918)
(3874,4523)(3876,5272)(3880,4467)(3882,4507)(3887,4666)(3888,5911)(3889,4957)
(3893,5967)(3894,4837)(3896,5798)(3898,5650)(3900,4305)(3904,3998)(3905,4502)
(3907,5916)(3912,5162)(3913,4866)(3914,5433)(3915,5434)(3919,5736)(3920,5660)
(3921,5240)(3923,4111)(3924,4951)(3925,5612)(3935,4337)(3939,4020)(3942,5056)
(3943,4417)(3947,5384)(3948,4249)(3955,5157)(3956,4890)(3958,5685)(3963,6024)
(3964,4996)(3965,4997)(3968,5246)(3971,6129)(3972,6108)(3976,4231)(3981,5737)
(3982,5738)(3987,4444)(3988,4445)(3989,5759)(3990,5838)(3999,6116)(4003,4678)
(4007,6010)(4008,5181)(4013,4096)(4015,4706)(4016,4707)(4024,4418)(4025,4419)
(4027,5286)(4033,4334)(4037,4509)(4038,4820)(4040,4128)(4052,5849)(4054,4071)
(4055,4738)(4056,5637)(4057,5130)(4076,5424)(4077,4371)(4080,4223)(4085,5362)
(4089,4540)(4091,4565)(4101,5244)(4104,4719)(4105,5628)(4112,4217)(4117,5552)
(4124,5439)(4127,4650)(4129,4278)(4134,4599)(4136,4365)(4137,5397)(4140,4205)
(4144,5654)(4148,5620)(4151,5734)(4161,4304)(4167,4527)(4168,5261)(4170,4303)
(4175,5273)(4179,4616)(4180,4617)(4183,4772)(4186,4886)(4187,5491)(4190,5106)
(4196,5262)(4197,5532)(4198,4225)(4199,4905)(4203,4732)(4210,5423)(4214,4692)
(4215,5510)(4221,4594)(4222,5357)(4227,5410)(4230,4918)(4232,5088)(4233,4489)
(4237,5505)(4238,5178)(4245,6112)(4246,5938)(4247,5572)(4248,6052)(4255,5947)
(4256,4801)(4257,4636)(4258,5299)(4262,5215)(4267,4977)(4271,5110)(4272,4306)
(4276,4872)(4277,4669)(4280,5619)(4282,5827)(4283,6134)(4284,5775)(4285,4290)
(4286,4291)(4288,5146)(4293,4592)(4294,5282)(4299,4900)(4302,5824)(4309,4891)
(4311,5238)(4312,4937)(4313,4938)(4320,5350)(4321,5579)(4324,5536)(4325,4611)
(4327,5030)(4330,5281)(4331,5098)(4332,6026)(4333,6012)(4339,5017)(4345,5822)
(4346,5706)(4349,5522)(4354,4534)(4361,5735)(4364,4562)(4366,4705)(4367,5923)
(4368,5073)(4372,5876)(4378,5910)(4382,4474)(4383,5474)(4384,5937)(4385,5014)
(4387,5593)(4388,4511)(4389,4512)(4393,5777)(4397,4758)(4399,5462)(4400,6000)
(4401,6070)(4406,5049)(4407,5761)(4410,4760)(4414,5932)(4420,5367)(4423,5031)
(4425,5450)(4426,4824)(4439,4973)(4440,4974)(4441,5269)(4454,4561)(4457,4641)
(4461,4733)(4463,5203)(4464,5180)(4468,5642)(4469,6089)(4473,5781)(4480,5006)
(4481,5007)(4483,4571)(4484,4998)(4485,4999)(4487,5731)(4490,5291)(4500,4823)
(4501,5692)(4503,5484)(4510,5114)(4513,6051)(4514,5962)(4515,6003)(4537,5741)
(4538,5934)(4539,5717)(4541,5172)(4543,5687)(4550,5643)(4554,5274)(4556,5561)
(4558,5344)(4563,5695)(4567,5069)(4568,5338)(4570,5809)(4577,5015)(4580,5755)
(4585,4764)(4586,5900)(4587,5151)(4588,5267)(4589,4963)(4590,4964)(4593,4923)
(4596,5393)(4601,5696)(4602,6039)(4603,5327)(4612,5368)(4613,5965)(4618,4665)
(4622,4840)(4624,5051)(4627,4845)(4631,5388)(4639,5076)(4644,5057)(4647,4782)
(4649,5566)(4652,4912)(4654,6068)(4660,4700)(4663,5828)(4671,5247)(4672,5811)
(4676,5097)(4687,4888)(4688,4768)(4690,4959)(4698,5676)(4704,5702)(4710,6033)
(4713,4972)(4714,5256)(4718,4790)(4745,5803)(4756,5927)(4757,5928)(4759,5526)
(4766,5581)(4769,5607)(4773,5250)(4785,5104)(4794,5224)(4800,4849)(4804,5884)
(4807,5121)(4813,5029)(4822,5667)(4836,5502)(4838,5020)(4839,5656)(4841,5361)
(4842,5774)(4851,5730)(4852,6063)(4857,6060)(4859,5591)(4860,6028)(4865,4932)
(4869,5684)(4870,4877)(4871,4892)(4873,5850)(4874,6050)(4875,5763)(4878,5207)
(4887,4961)(4895,5421)(4896,5801)(4902,6102)(4904,4930)(4906,5832)(4911,5978)
(4917,5451)(4925,5504)(4933,5418)(4935,5449)(4936,5672)(4952,5501)(4967,5355)
(4968,5460)(4976,5102)(4980,5812)(4981,5623)(5005,5507)(5021,5212)(5022,5669)
(5035,5880)(5040,6145)(5043,5523)(5045,5885)(5046,5124)(5055,5243)(5060,5209)
(5061,5493)(5067,5922)(5068,6143)(5072,5765)(5077,5578)(5079,6046)(5080,5320)
(5084,5754)(5085,5617)(5086,5960)(5087,5360)(5090,5580)(5094,5715)(5101,5135)
(5111,5155)(5122,5577)(5125,5160)(5134,5626)(5143,5563)(5148,5746)(5149,6062)
(5163,5216)(5175,5795)(5179,5297)(5184,5471)(5185,5472)(5188,6001)(5190,5946)
(5192,5816)(5197,5985)(5208,5726)(5213,5345)(5218,6141)(5253,5616)(5258,5714)
(5265,5740)(5270,5570)(5271,5467)(5276,5306)(5277,5597)(5295,5796)(5296,5664)
(5309,5815)(5310,5503)(5311,5521)(5326,5852)(5331,5356)(5332,5776)(5342,5520)
(5343,5935)(5348,6133)(5349,6006)(5366,5600)(5376,5699)(5380,6047)(5385,5602)
(5404,5807)(5405,5461)(5409,5506)(5411,5437)(5416,5598)(5431,6095)(5436,5933)
(5441,5951)(5473,6153)(5478,5957)(5485,5495)(5487,6066)(5488,5627)(5508,6021)
(5516,5890)(5517,6099)(5524,5961)(5525,5657)(5528,5973)(5530,5665)(5534,5551)
(5550,5596)(5562,5716)(5583,6054)(5584,5743)(5611,5622)(5670,5808)(5677,6079)
(5688,5897)(5700,5958)(5701,5986)(5721,5764)(5728,5859)(5739,5783)(5771,6069)
(5782,6027)(5787,6058)(5789,5820)(5818,6146)(5842,6075)(5858,6040)(5872,6140)
(5889,6067)(6041,6136),(   1, 133, 179)(   2, 153, 202)(   3, 187, 246)
(   4, 211, 278)(   5, 223, 294)(   6,  89, 123)(   7, 254, 332)
(   8,  77, 107)(   9, 302, 395)(  10, 310, 404)(  11, 339, 445)
(  12, 350, 459)(  13, 370, 485)(  14,  33,  49)(  15, 414, 542)
(  16, 423, 554)(  17,  28,  42)(  18, 469, 611)(  19, 495, 644)
(  20, 504, 656)(  22,  52,  74)(  23, 561, 728)(  24,  57, 740)
(  25, 586,  32)(  26,  61,  86)(  27, 619, 798)(  29, 666, 856)
(  30, 681, 873)(  31, 692, 889)(  34, 743, 319)(  35, 764, 831)
(  36, 775, 994)(  37, 807,1037)(  38, 818,1051)(  39, 197, 428)
(  40,  94, 130)(  41, 861,1105)(  43, 896,1150)(  44, 915,1174)
(  45, 177, 384)(  46, 943,1209)(  47, 110, 150)(  48, 961, 548)
(  50,1004,1284)(  51,1013,1295)(  53,1058,1349)(  54,1077,1372)
(  55,1086,1384)(  56, 105, 236)(  58,1127,1432)(  59, 138, 184)
(  60,1158, 451)(  62,1192,1294)(  63, 660,1527)(  64, 262, 347)
(  65, 148, 323)(  66,1244,1570)(  67,1261,1592)(  68, 158, 208)
(  69,1301,1640)(  70, 461,1652)(  71, 503,1674)(  72, 167, 220)
(  73,1357,1707)(  75,1391,1747)(  76, 261, 443)(  78,1417,1779)
(  79,1442,1811)(  80,1218,1820)(  81, 574,1234)(  82,1477,1851)
(  83,1485,1871)(  84, 192, 251)(  85,1514, 572)(  87,1144, 913)
(  88, 419,1925)(  90,1579,1969)(  91,1019,1992)(  92,1608,2003)
(  93, 479,1018)(  95,1662,2072)(  96,1682,2097)(  97,1686,2101)
(  98, 719, 924)(  99,1715,2138)( 100, 439,1092)( 101, 228, 299)
( 102,1761, 491)( 103, 398, 520)( 104,1768,2204)( 106, 724,2222)
( 108,1149,2274)( 109,1553, 140)( 111,1859,1181)( 112, 647, 834)
( 113,1877, 907)( 114,1905,2365)( 115, 866,1111)( 117, 258, 139)
( 118,1841,2396)( 119,1937,2403)( 120,1947,2416)( 121, 266, 348)
( 122,1974,2445)( 124,2009, 711)( 125,1194,2510)( 126, 366, 789)
( 127,2049,1348)( 128, 281, 364)( 129,2078,2238)( 131,2051,2330)
( 132, 353,2609)( 134, 800,2641)( 135,2158,1998)( 136,1989,2670)
( 137,2182,2686)( 141,2231,1984)( 142,2242,2754)( 143,2259,2772)
( 144, 314, 411)( 145,1549,2803)( 146, 448, 583)( 147,2295,2815)
( 149,2315,2839)( 151,2181,2488)( 152,2346,2870)( 154,2368,2897)
( 155,1232,1053)( 156,2376,2904)( 157, 936,2910)( 159, 545, 707)
( 160,2423,1613)( 161,2433, 765)( 162,2453,1397)( 163,1741,1899)
( 164,2468,2160)( 165, 355, 466)( 166,2494,3029)( 168,2524,3063)
( 169,2543,3082)( 170,2135,2629)( 171,2571,3115)( 172,2511,3123)
( 173, 326, 822)( 174, 375, 492)( 175,2619,3174)( 176,2094,3182)
( 178,2647,3127)( 180,2679,3243)( 181, 442, 264)( 182,2691,3257)
( 183,2701,3268)( 185,2717,3290)( 186,1005,3297)( 188,2762,3346)
( 189,2773,3358)( 190,2780,3365)( 191,2793,3380)( 193,2818,2379)
( 194,2825, 916)( 195,1476,2530)( 196,2220,2665)( 198, 260,1578)
( 199,2884,3467)( 200, 435, 570)( 201, 413,1398)( 203, 424,3298)
( 204,2913,3502)( 205,2919,3507)( 206,2927,3517)( 207,2938,3530)
( 209,1921,3560)( 210,2422,1031)( 212,1887,2549)( 213,3007,3607)
( 214, 560,3295)( 215,1632,2034)( 216,3037,3639)( 217,3050,1990)
( 218, 474, 616)( 219,2099,3672)( 221,3099,1759)( 222,3102, 309)
( 224,3129,3736)( 225,2334, 499)( 226,3141,3747)( 227,2888, 496)
( 229,3186,3796)( 230, 841,2873)( 231, 513,3821)( 232, 751,3463)
( 233,3226,2652)( 234, 509, 663)( 235,2344,3859)( 237,1677, 960)
( 238,3276,1240)( 239,1179, 964)( 240, 523, 440)( 241,3301,2986)
( 242,3312,1205)( 243,2080,2850)( 244, 530, 689)( 245,3349,1918)
( 247,3285,3975)( 248, 528,1114)( 249, 556, 426)( 250,3395,3709)
( 252, 558,4016)( 253,3420, 917)( 255, 422,4050)( 256,3444,4056)
( 257,1235,4061)( 259,3472,4079)( 263,3484, 551)( 265,3160,1254)
( 267,3510,4116)( 268,3519, 579)( 269,3538,4142)( 270,1236,3931)
( 271,1854,2162)( 272, 589, 761)( 273,1718,1257)( 274,3576,4182)
( 275,1164,3643)( 276, 598, 772)( 277,2661,2407)( 279, 325,3048)
( 280,3621,4219)( 282,3642, 697)( 283,1286,1621)( 284,3660, 811)
( 285,3515,4026)( 286,3678,4272)( 287,1481,2846)( 288, 623, 804)
( 289,3712,2928)( 290, 951, 388)( 291,3720,4318)( 292, 632, 815)
( 293,1934, 755)( 295,2068,4141)( 296,3767,3220)( 297,3775,4372)
( 298,2219,3018)( 300,1523,2074)( 301,1379, 734)( 303,3832,3769)
( 304,3840,1622)( 305,3848,4440)( 306,1668,2020)( 307,3864, 713)
( 308, 670, 441)( 311,2797,1225)( 312, 521,1522)( 313,2448,4173)
( 315,3647,4002)( 316,3940,2789)( 317,2493,3523)( 318,2816, 617)
( 320,1603, 872)( 321, 696, 342)( 322,3941,3289)( 324,1664,4573)
( 327,1574,1732)( 328, 710, 912)( 329,4034,4612)( 330,3279,4617)
( 331,4045,3937)( 333,4058,1233)( 334,2804,4636)( 335,3569,3162)
( 336,1268,2813)( 337, 731, 940)( 338,4084,1812)( 340, 712, 642)
( 341,2372,1991)( 343,4097,2993)( 344,3988, 453)( 345,4105,3232)
( 346, 747, 903)( 349,3339,1995)( 351, 784,4714)( 354,4165, 601)
( 356,3861,2417)( 357,1128,3811)( 358,3480,4753)( 359,1089,2746)
( 360,1415,2711)( 361,2300,3548)( 362, 780,1001)( 363,4224,4786)
( 365,4229,1654)( 367,4244,3559)( 368,4264,3095)( 369,3803,1723)
( 371,4286,4844)( 372,4031,4854)( 373,4265,4864)( 374,2145, 620)
( 376,4316,1435)( 377,4323,4887)( 378,1071,1141)( 380,1666,3922)
( 381,2851,3336)( 382, 585,1055)( 383,4208,4912)( 385,4380,1708)
( 386,4386, 881)( 387,2198,2153)( 389, 836,1074)( 390,4382,4965)
( 391,1083,2147)( 392,4419,4969)( 393, 845, 947)( 394,4429,4057)
( 396,3957,4804)( 397,1449, 540)( 399,2965,3137)( 400, 715,2487)
( 401,3875,5011)( 402,1519,4339)( 403,1278,2472)( 405,3230,5027)
( 406,4492,4608)( 407,1709,4001)( 408,4412,4729)( 409, 876,1124)
( 410,2951,2470)( 412,4529,5069)( 415,3529,1116)( 416,3853,3015)
( 417, 824,5086)( 418,3492,3823)( 420,3563,1323)( 421, 901, 580)
( 427,4599,5129)( 429,1306,2038)( 430,1387,1801)( 431,2303,4178)
( 432,1186,1824)( 433, 927,1189)( 434,4630,3495)( 436,4162,1711)
( 437,3460,4835)( 438,4404,3610)( 444,1917,5170)( 446,1784,4534)
( 447,3350,3142)( 449,4672, 977)( 450,2426,3841)( 452,3838, 525)
( 454,3960, 674)( 455,3331,5216)( 456,4709,2393)( 457, 968,1241)
( 458,4719,5233)( 460,2268,3711)( 462,3882,5240)( 463,4737,5246)
( 464, 983,1258)( 465,4748,5257)( 467,4242,3318)( 468,1148,2267)
( 470,4767,1201)( 471,4490,2218)( 472,1767,2130)( 473,1195,5277)
( 475,4799,1919)( 476,1733,3203)( 477,1213,1271)( 478,4818,5312)
( 480,4831,3828)( 481,1595,4985)( 482, 622,2970)( 483,1025,1309)
( 484,1601,3474)( 486, 862,1876)( 487,1109,2194)( 488,3397,1970)
( 489,1712, 654)( 490,1039,1326)( 493,4892,4984)( 497,3300,4268)
( 498,4874,5382)( 500,1516,1566)( 501,2914,4587)( 502,1063, 766)
( 505,4945,3292)( 506,4948,5424)( 507,3077,5426)( 508,4190, 529)
( 510,4410,4464)( 511,4971,3779)( 512,4974,5130)( 514, 605,1266)
( 515,4750,4332)( 516,1091, 603)( 517,4993, 793)( 518, 594,1706)
( 519,2076, 814)( 522,3313,1979)( 524,3533,5213)( 526,1085,1834)
( 527, 988, 894)( 531,1594,3656)( 532,2201,3586)( 533,5042,4582)
( 534,5049,2382)( 535,4884,5443)( 536,5058, 698)( 537,1132,1439)
( 538, 954,3551)( 539, 700, 820)( 541,5080,3405)( 543,2657,5527)
( 544,3211,1382)( 546,1773,2207)( 547,1486,2826)( 549,3167,4868)
( 550,2357,2990)( 552,1162,1474)( 553,4368,4434)( 555,5121,5552)
( 557,3499,1935)( 559,1177,1491)( 562,5147,5137)( 563,5151,3542)
( 564,3217,1630)( 565,2905,3518)( 566,4632, 946)( 567,4042,1002)
( 568,1197,1511)( 569,5162,2885)( 571,2760,3087)( 573,2952, 588)
( 575, 640,1183)( 576,3466,1900)( 577,1214,1517)( 578,2662,2188)
( 581,1220,1539)( 582,2363,2606)( 584,3846,1256)( 587,1923,2179)
( 590,3752,5085)( 591,2236,3207)( 592,2763,4649)( 593,1090,3904)
( 595,1959,5178)( 596,1249,1577)( 597,1137,4904)( 599,3565,4738)
( 600,5249,5640)( 602,2029,1009)( 604,4246,4813)( 606,5206,1562)
( 607, 932,2252)( 608,2926,5172)( 609,1146,1605)( 610,5055,2492)
( 612,1633,5043)( 613,3468,3739)( 614,4585,5662)( 615,5287,2044)
( 618,5300,5681)( 621,2159,4972)( 624,2312, 926)( 625,5330,1431)
( 626,4073,5705)( 627,1495,4751)( 628, 638,1377)( 629,1499,4334)
( 630,1315,1659)( 631,1758, 675)( 633,1550,5491)( 634,1371,2635)
( 635,5359,2071)( 636,3219,4880)( 637,4514,5393)( 639, 864,1679)
( 641,3670,4458)( 643,1355,2972)( 645,4267,2611)( 646,5385,3341)
( 648,5001,3863)( 649,2810,3019)( 650,5410,5758)( 651,2137,4763)
( 652,1956,3457)( 653,5176,5448)( 655,3291,2973)( 657,1839,5348)
( 658,2355, 949)( 659,2307,5779)( 661,1375,1727)( 662,4555,2333)
( 664,2119,4192)( 665,1890,5562)( 667, 790,3754)( 668,4619,5252)
( 669,5454,3319)( 671,1012,5795)( 672, 745,4006)( 673,5462,2751)
( 676,4307,2006)( 677,1367,1658)( 678,5472,1418)( 679,1406,1365)
( 680,5340,1304)( 682, 737,1928)( 683,5485,1409)( 684,4086,5634)
( 685,5488,2083)( 686, 726,1281)( 687,1421,1783)( 688,3908,1769)
( 690,4494,1596)( 691,5497,5820)( 693,5505,4771)( 694,1941,5509)
( 695,5471,2132)( 699,2715,4481)( 701,1687,1459)( 702,1454,1825)
( 703,2170,5842)( 704,1464,1819)( 705,1555,2342)( 706,1763,3649)
( 708,4730,3723)( 709,5540,5683)( 714, 850,3089)( 716, 882,3651)
( 717,1480,1857)( 718,1161,5536)( 720,4557,3090)( 721,4129,2874)
( 722,4008,4852)( 723,2692, 802)( 725,3147,4860)( 727,3953,4206)
( 729,1462,4538)( 730,3384,4388)( 732,5576,2501)( 733,1702,5837)
( 735,4879,3885)( 736,2359,5882)( 738,1518,1902)( 739,3200,3812)
( 741, 890,3441)( 742,3760,2976)( 744,3448,1509)( 746,3490,1538)
( 748,1600,4775)( 749,2713,5401)( 750,1742,2474)( 752,1544,1381)
( 753,1647,2728)( 754,2282,3982)( 756,2943,4319)( 757,1182,5829)
( 758,5047,5898)( 759,1557,1944)( 760,4794,3509)( 762,5623,4337)
( 763,5624,5292)( 767,2515,1963)( 768,1983,3580)( 769,2210,2688)
( 770,1305,1650)( 771,1123,2215)( 773,1242,5775)( 774,3813,4497)
( 776,5344,1531)( 777,4361,2309)( 778,2644,5185)( 779,4111,2112)
( 781,4359,3378)( 782,3891,4477)( 783,4891,4053)( 785,1807,1310)
( 786,1490,2129)( 787,1612,1185)( 788,5466,2232)( 791, 806,5402)
( 792,1901,5626)( 794,1624,2025)( 795,2077,4583)( 796,3923,3149)
( 797,4278,5695)( 799,3414,5964)( 801,1446,4716)( 803, 982,2046)
( 805,4613,5654)( 808,4255,1729)( 809,5101,1560)( 810,4194,2869)
( 812,4220,5247)( 813,1802,3249)( 816,3932,4696)( 817,1119,1272)
( 819,4917,5316)( 821,5419,1408)( 823,5690,2284)( 825,1806,5864)
( 826,2446,3315)( 827,4103,2081)( 828,1689,2107)( 829,3956,5549)
( 830,4447,5366)( 832,1697,2117)( 833,5749,3475)( 837,1988,4501)
( 838,1084,5468)( 839,5646,5373)( 840,1166,4656)( 842,2249,1972)
( 843,1719,1370)( 844,2902,5508)( 846,3899,4379)( 847,4357,4119)
( 848,3744,1938)( 849, 974,5604)( 851,1152,1546)( 852,3822,3299)
( 853,2400,2127)( 854,1737,2167)( 855,5790,4204)( 857,3043,1180)
( 858,1289,2886)( 859,5031,1849)( 860,1447,2180)( 863,3925,4027)
( 865,4581,5104)( 867,5706,3269)( 868,5548,1427)( 869,2008,3536)
( 870,3598,4200)( 871,4014,5460)( 874,4554,5767)( 875,3574,3653)
( 877,3306,1814)( 878,4958,1880)( 879,1327,6033)( 880,2969,1636)
( 883,1789,2229)( 884,5095,2607)( 885,2632,5849)( 886,2326,1100)
( 887,1798,2239)( 888,4918,5067)( 891,5830,2864)( 892,2531,3425)
( 893,1396,2256)( 895,5835,5530)( 897,2709,1740)( 898,4745,5336)
( 899,2756,3553)( 900,1190,3427)( 902,3122,2185)( 904,1302,4955)
( 905,3073,3890)( 906,1838,1178)( 908,5311,2538)( 909,2726,2781)
( 910,1843,2293)( 911,4449,1751)( 914,1607,1581)( 918,2724,5140)
( 919,5262,4424)( 920,2829,5376)( 921,2065,2725)( 922,1862,2313)
( 923,5866,4869)( 925,1021,1343)( 928,2350,4287)( 929,5777,5048)
( 930,2992,4575)( 931,2452,5839)( 933,3944,2261)( 934,1881,2339)
( 935,4091,2463)( 937,1131,5808)( 938,1534, 957)( 939,4400,5769)
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( 972,5194,3550)( 973,1912,3476)( 975,1952,1910)( 976,5418,5502)
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( 993,2512,3047)( 995,1797,4000)( 996,3360,3967)( 997,1330,4517)
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(1046,2695,1482)(1048,3857,3045)(1049,1117,2576)(1052,3234,1700)
(1054,3354,4618)(1056,4358,4508)(1057,5255,2480)(1059,3259,6097)
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(1914,2704,5169)(1920,5846,3986)(1922,2276,5947)(1924,5890,4963)
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(1955,2656,2394)(1957,3609,2564)(1958,2053,3179)(1962,5142,3676)
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(1973,5105,2562)(1976,3787,3459)(1978,4659,5377)(1980,5023,3942)
(1981,4681,5619)(1986,4112,5037)(1987,4302,2316)(1994,5937,5666)
(1996,4076,4326)(2000,4063,4795)(2001,4507,3101)(2002,5367,3399)
(2004,5306,4143)(2007,3002,2822)(2010,5764,3794)(2013,2999,3364)
(2015,4366,2419)(2018,5517,4902)(2019,3338,4222)(2021,5166,2626)
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1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[3,1,6,-1],[6,-1],[9,1,7,1,
3,1,8,1,10,-1,9,1,7,2,8,1,10,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,
5,1],[6,1,3,1],[3,1,6,1,3,1,7,1,6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,
-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[7,1,6,1,8,-2,7,1,8,-2]]],[[[2,-1,1,1,2,1],[1,
1,2,1],[4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[3,1,8,1],[8,1,3,1],[3,1,8,-1,
9,1,3,1,10,2,9,-1,10,1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,
1,3,1],[3,1,6,-1,3,1,6,-1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,
1],[3,1,6,1],[7,1,3,1,6,1,3,1,6,1,7,1]]],[[[2,-2,1,1,2,2]],[[2,-2,1,1,2,2],[1,
1,2,1],[4,1,2,1,4,1],[4,4],[6,-1,5,3,6,1],[7,1,3,1],[8,1,7,-1,3,1,8,1,7,
-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[3,1,6,-1,7,1,
3,1,6,-1,7,2]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,1,3,1],[3,
1,6,1,3,1,7,1,6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,
1],[6,1,7,1],[6,1,3,1,7,-1,8,-2]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,
5,1],[3,1,6,1],[6,1,3,1],[6,1,8,1,6,1,7,2,8,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,
2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[3,1,6,-1],[8,1,7,-1,8,1,9,-1,6,-1,8,-1,
3,1,7,-1,9,-1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[
8,1,5,-1,8,1],[9,1,5,-1,9,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,
-1,2,1,7,1],[8,1,5,-1,8,-1,5,1,8,1,5,1,8,-1,5,1]]],[[[2,-1,1,1,2,1],[1,1,2,
2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,8,1,6,1,7,2,8,-1]],[[2,-1,1,
1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[3,1,6,-1],[8,2,7,
-1,9,-1,8,1,7,-2,9,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,
6,1],[6,1,3,1],[7,1,3,1,8,1,7,-1,8,1,6,-1,8,-1]]],[[[1,1,2,2],[3,2],[4,-1,2,1,
4,1],[5,1,2,-1,1,1,2,1,5,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[
3,1,6,1],[3,1,6,-1],[8,2,7,1,8,1,7,1,3,1,6,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,
2],[4,2],[5,-1,2,1,5,1],[6,-1,3,1,6,-1,3,1,6,-1]]],[[[1,1,2,1],[3,2,2,1],[3,1,
4,2],[5,6],[1,1,6,1],[6,-2,7,1,1,1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,
2],[5,6],[6,1,1,1],[1,1,6,-1,7,-1,1,1,6,1,1,1,7,1]],[[1,1,2,1],[3,2,2,1],[3,1,
4,2],[5,6],[1,1,6,1],[6,1,1,1],[8,1,7,-1,6,-2,7,1,8,-1]],[[1,1,2,1],[3,2,2,
1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,1,1],[8,1,7,1,6,1,7,1,8,1,6,-2,7,1]]],[[[1,
1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,-1,8,1,5,-1,8,
1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1],[8,1,
9,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,
1,7,1],[8,1,5,1,8,-1,5,-1,8,-1,5,-1,8,1,5,-1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[
1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1,5,1,8,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[
1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,1,8,-1,5,1]]],[[[1,1,2,1],[3,4],[4,-1,1,
1,4,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,
1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[5,1,11,-1,5,1,11,-1,12,
2]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,
1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[5,1,11,-1,12,3,11,1]]],[[[1,1,
2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,-2,7,2,6,1]],[[1,1,2,1],[3,2,2,
1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,7,3,1,1,6,1,1,1]],[[1,1,2,1],[3,2,2,1],[3,1,
4,2],[5,6],[1,1,6,1],[6,1,1,1],[7,1,6,1,8,-1,7,2,8,1]]],[[[1,1,2,1],[3,4],[4,
-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,
9,2,10,1],[11,2,5,1],[12,1,11,-1,5,1,12,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[
1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,
1,11,1],[11,1,5,1,12,-2,11,1,5,1]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,
1,6,1],[6,-2,1,1,6,-1,7,2,6,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,
1],[6,1,1,1],[7,1,8,-2,1,1,6,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,
2,1,5,1],[6,1,3,1],[3,1,6,-1,3,1,6,-1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[
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3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,
10],[10,-1,9,2,10,1],[5,1,11,-3,5,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,
1],[11,1,12,2,11,2,12,1]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,
1,1,1],[6,1,8,2,6,1,7,2]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,
1,3,1],[3,1,6,-1,3,1,6,-1,7,-2]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,
1],[3,1,6,1],[6,1,3,1],[3,1,6,-1],[6,-1,9,1,8,-1,3,1,7,-1,8,1,6,1,8,-1,7,1,9,
1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[3,1,6,
-1],[6,-1],[9,1,7,1,3,1,8,1,10,-1,9,1,7,2,8,1,10,-1]]],[[[2,-1,1,1,2,1],[1,1,
2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,8,1,6,1,7,2,8,-1]],[[2,-1,
1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[7,1,6,1,8,-2,7,1,
8,-2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[
3,1,8,1],[8,1,3,1],[8,1,10,-1,9,1,8,1,9,2,10,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[
4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[3,1,8,1],[3,1,8,-1],[10,2,9,1,10,1,9,
1,3,1,8,1,3,1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,
3,7,1],[8,1,3,1],[3,1,8,1,9,-2,3,1,8,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[
5,-1,2,1,5,1],[6,1,3,1],[7,1,6,-1,3,1,7,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,
2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[6,1,8,1,7,-1,8,2,6,1,8,-1,7,1]]],[[[1,
1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,-1,8,-1,5,-1]],[[
1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1],[9,1,8,1,5,-1,
8,1,9,1,8,1,5,1,8,1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,-1,
3,1,6,1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[
6,1,3,1],[7,1,8,-2,3,1,7,-1,6,1,3,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[
6,8],[7,-1,2,1,7,1],[5,1,8,1],[5,-1,9,-1,8,-1,9,-1]],[[1,1,2,1],[3,2,2,1],[4,
3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1],[5,-1,8,1,9,1,8,1,5,-1,8,-1,9,
1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,1,3,1],[6,1,7,-2,3,1,
6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[
6,1,3,1],[7,1,3,1,8,1,7,-1,8,1,6,-1,8,-1]]],[[[2,-1,1,1,2,1]],[[2,-1,1,1,2,
1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[7,1,3,1,8,1,7,-1,8,1,6,
-1,8,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,
1],[6,1,8,1,6,1,7,2,8,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,
1,6,1],[6,1,3,1],[7,1,3,1,8,1,7,-1,8,1,6,-1,8,-1]]],[[[1,1,2,1],[3,2,2,1],[3,
1,4,2],[5,6],[1,1,6,1],[6,1,7,3,1,1,6,1,1,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[
5,6],[1,1,6,1],[6,1,1,1],[1,1,7,-1,8,1,6,1,8,-1,7,1]]],[[[2,-1,1,1,2,1],[1,1,
2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,-1,7,1,3,1,6,-1,3,1,6,-1,7,1]],[[2,-1,
1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[7,2,8,-2,3,1,7,
-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[8,1,
7,-1,8,1,6,-1,8,-1,7,1,8,-1]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,
1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[5,1,11,1],[12,1,11,1,5,1,
11,1,12,1]],[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,6],[10,-1,9,3,10,1],[11,2],[12,1,5,1,11,1,5,1,11,-1,12,-1]]],[[[2,
-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[7,2,3,1,6,-1,3,1,7,-1,6,
1,3,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[6,
1,8,1,7,-1,8,2,6,1,8,-1,7,1]]],[[[1,1,2,2],[3,2],[4,-1,2,1,4,1],[5,-1,2,-1,1,
1,2,1,5,1]],[[1,1,2,2],[3,2],[4,-1,2,1,4,1],[5,1,2,-1,1,1,2,1,5,-1]]],[[[2,-1,
1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,-1,3,1,6,-1,3,1,6,-1]],[[2,-1,1,1,
2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[3,1,6,-1],[8,2,7,1,8,1,7,1,3,1,
6,1,3,1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[
1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[
11,1,5,1,11,1,5,1,11,-1,5,1,11,-1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,
1],[12,1,11,1,12,2,5,1,11,-1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,
2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[5,1,
11,-1,12,3,11,1]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,-2,1,1,
6,-1,7,2,6,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,7,1],[8,1,
7,1,6,1,1,1,8,-1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,1,1],[
7,1,8,-2,1,1,6,-1,7,1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[11,2,5,1],[12,1,
11,-1,5,1,12,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,
7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[12,1,11,1,12,2,11,
2]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1],[8,
1,9,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,
2,1,7,1],[5,-1],[5,1,8,1],[9,1,10,-2,8,-1,9,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[
1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1],[5,1,8,1],[8,1,10,1,9,1,8,-1,9,-1,10,
-1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,
2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[11,1,
5,1,11,-1,5,1,11,-1,5,1,11,1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,
1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[11,
1,5,1,12,-2,11,-2]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,
6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[11,1,12,1,5,1,
11,-1,5,1,12,-1]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,
1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,1],[11,1,12,1,11,1,5,
1,11,-1,12,1]]],[[[2,1,1,1,2,1],[3,-1,1,1,3,1]],[[2,1,1,1,2,1],[3,-1,1,1,3,
1],[1,1,2,1],[5,1,2,1],[5,1,6,1],[6,5],[8,-1,7,3,8,1],[9,1,4,1,9,-1]]],[[[2,
-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,-1,7,1,3,1,6,-1,7,
2]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,1,3,1],[7,1,6,-1,3,1,7,
1,6,-1,3,1,6,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[
6,1,7,1],[6,1,3,1,7,-1,8,-2]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[
3,1,6,1],[6,-1,3,1,6,-1,3,1,6,-1,7,2]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,
6],[6,1,1,1],[1,1,6,-1,1,1,6,1,7,1,6,1,7,2]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[
5,6],[1,1,6,1],[6,1,1,1],[7,2],[8,1,9,-1,8,1,9,-1]],[[1,1,2,1],[3,2,2,1],[3,1,
4,2],[5,6],[1,1,6,1],[6,1,1,1],[7,1,6,1,7,1,8,-2,7,-1]]],[[[1,1,2,1],[3,2,2,
1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,5,1,8,-1,5,1]],[[1,1,2,1],[
3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,-1,8,1],[9,1,5,-1,9,
-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,-1,5,-1,8,1,
5,-1,8,-1,5,1,8,1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,1,2,1],[3,4],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,
2,10,1],[11,2],[12,-1,5,1,11,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,
8],[7,-1,2,1,7,1],[8,-1,5,-1,8,1,5,1,8,-1,5,1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,
1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,5,1,8,-1,5,1,8,-1]]],[[[1,1,2,1],[3,2,2,
1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,-1,8,-1,5,-1]],[[1,1,2,1],[3,2,
2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,-1,5,1,8,1,5,-1,8,1,5,1]]],[[[1,
1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,5,-1,8,-1]],[[
1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1],[5,-1,8,-1,
9,1,5,1,8,-1,9,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[
6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,
-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[
14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[
12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[
17,1,19,1],[20,2,11,1,20,-1,11,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,
-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,
4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,
-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,
1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[
18,-1,1,1,18,1],[17,1,19,1],[20,1,11,1,20,1],[21,1,11,2,21,-1]]],[[[2,-1,1,1,
2,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,1,3,1],[6,1,7,-2,3,1,
6,-1,3,1,6,1,3,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[
6,1,3,1],[7,1,3,1,8,1,7,-1,8,1,6,-1,8,-1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[
5,-1,2,1,5,1],[3,1,6,1],[7,1,3,1,6,1,3,1,6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,2],[
4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1],[8,2,7,-2,6,-1]],[[2,-1,1,1,2,1],[1,1,
2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[3,1,6,-1],[8,1,7,1,3,1,6,-1,3,1,7,-1,8,
-1]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,6],[10,-1,9,3,10,1],[5,1,11,-1,5,1,11,1,5,1]],[[1,1,2,1],[3,9],[4,-1,1,
1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[11,1,5,
1],[12,1,5,1,11,1,12,-1,11,-1]],[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,
1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[11,1,5,1],[5,1,11,1,12,-1,
11,-1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[4,4],[6,-1,5,3,6,1]],[[2,-1,1,
1,2,1],[1,1,2,1],[4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[8,1,3,1],[3,1,8,1,
3,1,9,1,8,1,9,1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[
7,1,3,1,6,1,3,1,6,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,
6,1],[6,1,3,1],[8,1,7,-2,8,2,6,-1,7,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[4,
4],[6,-1,5,3,6,1],[7,-1,2,-1,1,1,2,1,7,1]],[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,
1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[3,1,8,1],[8,1,3,1],[10,1,9,-1,10,1,8,-1,10,
-1,9,1,10,-1]]],[[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1],[4,1,5,1],[5,4],[7,-1,6,
3,7,1],[3,1,8,1],[8,1,3,1],[9,2,10,-2,3,1,9,-1]],[[2,-1,1,1,2,1],[1,1,2,1],[4,
1,2,1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[8,1,3,1],[8,1,9,2,8,1,3,1,9,1,8,-1,3,
1]]],[[[2,-2,1,1,2,2],[1,1,2,1],[4,1,2,1,4,1],[4,4],[6,-1,5,3,6,1],[7,-1,3,1,
7,-1,3,1,7,1]],[[2,-2,1,1,2,2],[1,1,2,1],[4,1,2,1,4,1],[4,4],[6,-1,5,3,6,1],[
3,1,7,1],[8,2,7,1,3,1]]],[[[1,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,
1],[6,1,7,2,6,-2,1,1,6,1]]],[[[1,1,2,2],[3,2],[4,-1,2,1,4,1],[5,-1,2,-1,1,1,2,
1,5,1]],[[1,1,2,2],[3,2],[4,-1,2,1,4,1],[5,1,2,-1,1,1,2,1,5,-1]],[[2,-1,1,1,2,
1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[3,1,6,-1],[8,2,7,1,8,1,7,1,3,1,6,
1,3,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,
1],[5,1,8,-1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,
8],[7,-1,2,1,7,1],[5,1,8,1],[8,1,9,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[3,2,2,
1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,1],[8,1,5,-1,8,1,5,1,9,-2]],[[
1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1],[5,1,8,1],[9,1,
10,-2,8,-1,9,-1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,1,2,1],[3,1,2,1],[4,
1,3,1,4,2],[3,1,4,1,3,4,5,2],[4,10],[7,-1,6,2,7,1],[8,-3]],[[1,1,2,1],[3,4],[
4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,
-1,9,2,10,1],[11,1,5,1,11,-1,5,1,11,-1,5,1,11,1]]],[[[1,1,2,1],[3,4],[4,-1,1,
1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,
10,1],[11,1,5,1,11,2]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,
1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[5,1,11,-3,5,1]]],[[[1,1,
2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[7,1,6,1,7,1,6,1,1,1]],[[1,1,2,1],[3,
2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,1,1],[6,1,8,-1,7,2,8,-1]]],[[[2,-1,1,1,
2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,-1,3,1,6,1,3,1,6,-1]],[[2,-1,1,1,2,1],[
1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,7,2,3,1,6,-1,7,1,3,1,6,1,3,
1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,-1,3,1,6,-1]],[[2,
-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,3,1,7,-2,6,1,7,
2]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1,6,-1]],[[1,1,2,1],[3,2,2,
1],[3,1,4,2],[5,6],[1,1,6,1],[7,-2]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[5,1,11,-4]],[[1,1,2,
1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,
9,3,10,1],[5,1,11,1],[12,1,11,1,5,1,11,1,12,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[
1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,1,8,-1,5,1]],[[1,1,2,1],[3,2,2,1],[4,3],[
1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,-1,5,1,8,-1,5,-1,8,-1]]],[[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,
-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,
1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,
13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,
14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[20,2,11,1,20,-1,11,-1]],[[2,
1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,
5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,
9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,
1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,
1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[20,1,11,-1,20,
-1,11,1,20,-1,11,-2]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1,6,
-1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,1],[6,1,1,1],[7,1,8,2,7,-1,8,
1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,
7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[11,1,5,1,11,-2]],[[1,1,2,1],[3,4],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,
2,10,1],[5,1,11,1],[5,1,11,-1,12,3,11,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[
5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,
1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,
1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,
14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,
-1],[18,-1,1,1,18,1],[17,1,19,1],[11,1,20,-1,11,-1]],[[2,1,1,1],[1,1,2,-1],[3,
1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,
1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,
1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,
1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,
1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[11,1,20,1],[11,2,21,-1,20,-1,21,
1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,
7,1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[11,1,5,1,11,-1]],[[1,1,2,1],[3,4],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,
2,10,1],[5,1,11,-3]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[6,-1,3,
1,6,-1,3,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[6,1,7,
2,3,1,6,-1,3,1,6,-1]]],[[[1,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,
1],[6,-2,7,-1,1,1,6,1,7,-1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,1,2,1],[3,
1,2,1],[4,1,3,1,4,2],[3,1,4,1,3,4,5,2],[4,10],[7,-1,6,2,7,1],[8,-3]],[[1,1,2,
1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[
7,10],[10,-1,9,2,10,1],[11,1,5,1,11,-3,5,1,11,-1]]],[[[2,1,1,1,2,1],[3,-1,1,1,
3,1],[1,1,2,1],[5,1,2,1],[5,1,6,1],[6,5],[8,-1,7,3,8,1],[9,1,4,1,9,-1]],[[2,1,
1,1,2,1],[3,-1,1,1,3,1],[1,1,2,1],[5,1,2,1],[5,1,6,1],[6,5],[8,-1,7,3,8,1],[4,
1,9,1],[4,1,9,-1,10,1,4,1,9,1,4,1,10,-2]]],[[[1,1,2,2],[3,8],[4,-1,2,1,4,
1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,5,1,8,
-1,5,1]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1,6,1,1,1,6,-1]],[[1,1,
2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1],[6,-2,1,1,6,1],[8,1,7,2,8,-1]]],[[[2,
1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,
5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,
9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,
1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,
1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[11,1,20,1]],[[2,
1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,
5,1,1,1,5,1,7,-1],[3,1,4,-1,3,1,1,1,3,1,5,1,4,1,2,-1,5,1,1,1,5,1,2,-1],[9,-1,
1,1,9,1],[8,1,10,1],[11,2]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1]],[[1,1,2,1],[3,
9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,
1],[5,1,11,1],[11,2,12,2]]],[[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,1],[4,1,5,1],[5,
4],[7,-1,6,3,7,1],[8,-1,3,1,8,-1,3,1,8,1]],[[2,-1,1,1,2,1],[1,1,2,1],[4,1,2,
1],[4,1,5,1],[5,4],[7,-1,6,3,7,1],[3,1,8,1],[8,1,3,1],[3,1,8,-1,9,1,3,1,10,2,
9,-1,10,1]]],[[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,-1,3,1,6,
1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[7,1,3,1,6,1,3,1,
6,1,7,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,
-1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,1,
8,1,5,-1,8,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,
-1,5,-1,8,1,5,-1,8,-1,5,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,
-1,2,1,7,1],[8,-1,5,1,8,1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[
7,-1,2,1,7,1],[8,1,5,1,8,-1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,
8],[7,-1,2,1,7,1],[5,-1,8,-1,5,-1,8,1,5,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,
2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,1,8,1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,
2,2],[6,8],[7,-1,2,1,7,1],[8,-1,5,-1,8,1,5,1,8,-1,5,1]]],[[[2,1,1,1],[1,1,2,
-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,
-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,
1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,13,-1],[15,1,14,1,15,-1,
13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,
14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[20,1,11,-1,20,-1,11,1,20,
-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,4,1,
1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,-1],[
9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,-1],[2,1,
13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,-1,12,1,
1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,1],[11,
1,20,2,11,2]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,
6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,
1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,
-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,
-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,
1],[11,2,20,-1,11,-1,20,1,11,1]]],[[[1,1,2,2],[3,2],[4,-1,2,1,4,1],[5,-1,2,-1,
1,1,2,1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1],[3,1,7,-1,
6,1,3,1,7,-2,6,-1]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1,6,-1]],[[
1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[6,1,1,1],[6,1,7,1],[8,1,6,-1,1,1,8,1,7,
1]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,6],[10,-1,9,3,10,1],[5,1,11,1,5,1,11,-1]],[[1,1,2,1],[3,9],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[5,1,11,-1,
5,1,11,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,
1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,
5,-1,8,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,
6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,
1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,12,
-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,13,
-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,19,
1],[11,1,20,-1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,
5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,
-1,4,1,3,-1],[9,-1,1,1,9,1],[8,1,10,1],[2,1,1,1],[1,1,2,-1],[12,1,2,-1],[14,1,
12,-1],[2,1,13,-1],[15,1,14,1,15,-1,13,1,1,1,16,-1,14,1,1,1,14,1,16,-1],[12,1,
13,-1,12,1,1,1,12,1,14,1,13,1,2,-1,14,1,1,1,14,1,2,-1],[18,-1,1,1,18,1],[17,1,
19,1],[11,2],[20,1,11,1,20,1],[22,1,21,1,22,1,21,-1]]],[[[2,-1,1,1,2,1],[1,1,
2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,-1,3,1,6,-1]],[[2,-1,1,1,2,1],[1,1,2,2],[4,
2],[5,-1,2,1,5,1],[6,-1,3,1,6,-1,3,1]]],[[[1,1,2,1],[3,4],[4,-1,1,1,4,1]],[[1,
1,2,1],[3,1,2,1],[4,1,3,1,4,2],[3,1,4,1,3,4,5,2],[4,10],[7,-1,6,2,7,1],[8,
-3]],[[1,1,2,1],[3,4],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,
1,6,4,8,2],[7,10],[10,-1,9,2,10,1],[11,1,5,1,11,-1]]],[[[1,1,2,1],[3,4],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[7,1,6,1,7,2],[6,1,7,1,6,4,8,2],[7,10],[10,-1,9,
2,10,1],[11,1,5,1,11,1]],[[1,1,2,1],[3,1,2,1],[4,1,3,1,4,2],[3,1,4,1,3,4,5,
2],[4,10],[7,-1,6,2,7,1],[8,-3]]],[[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,
6,1],[7,-2]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6],[1,1,6,-1,1,1,6,1],[7,1,1,1,
6,-1,7,1]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1]],[[1,1,2,1],[3,9],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,6],[10,-1,9,3,10,1],[11,1,5,1,
11,-1]],[[1,1,2,1],[3,9],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,6],[10,-1,9,3,10,1],[11,-1,5,1,11,1]]],[[[1,1,2,1],[3,2,2,1],[4,3],[1,1,
2,2],[6,8],[7,-1,2,1,7,1],[5,1,8,-1,5,-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,
2],[6,8],[7,-1,2,1,7,1],[5,-1,8,1,5,-1,8,-1,5,1]]],[[[2,-1,1,1,2,1]],[[1,1,2,
2],[3,2],[4,-1,2,1,4,1],[5,-1,2,-1,1,1,2,1,5,-1]]],[[[1,1,2,1],[3,2,2,1],[4,
3]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,1,5,-1,8,
-1]],[[1,1,2,1],[3,2,2,1],[4,3],[1,1,2,2],[6,8],[7,-1,2,1,7,1],[8,-1,5,-1,8,
1]]],[[[1,1,2,1],[3,9],[4,-1,1,1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,6],[7,-1,6,3,7,1],[8,2]]],[[[1,1,2,2],[3,2],[4,-1,2,1,4,1]],[[2,-1,1,1,
2,1],[1,1,2,2],[4,2],[5,-1,2,1,5,1],[3,1,6,1,3,1]]],[[[1,1,2,1],[3,4],[4,-1,1,
1,4,1]],[[1,1,2,1],[3,1,2,1],[4,1,3,1,4,2],[3,1,4,1,3,4,5,2],[4,10],[7,-1,6,2,
7,1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,1,4,-1],[6,1,5,1,6,-1,
4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[7,1,3,1,1,1,3,1,4,-1,3,1,2,1,3,-1,7,-1,4,1,3,
-1],[9,-1,1,1,9,1],[8,1,10,1]],[[2,1,1,1],[1,1,2,-1],[3,1,2,-1],[5,1,3,-1],[2,
1,4,-1],[6,1,5,1,6,-1,4,1,1,1,7,-1,5,1,1,1,5,1,7,-1],[3,1,4,-1,3,1,1,1,3,1,5,
1,4,1,2,-1,5,1,1,1,5,1,2,-1],[9,-1,1,1,9,1],[8,1,10,1]]],[[[1,1,2,1],[3,9],[4,
-1,1,1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,6],[7,-1,6,3,7,
1]]],[[[2,-1,1,1,2,1]],[[1,1,2,2],[3,2],[4,-1,2,1,4,1]]],[[[2,1,1,1,2,1],[3,
-1,1,1,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[4,5],[6,-1,5,3,6,1]]],[[[1,1,2,
1],[3,2,2,1],[4,3]],[[1,1,2,2],[3,8],[4,-1,2,1,4,1]]],[[[2,-1,1,1,2,1]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[4,4],[6,-1,5,3,6,1]]],[[[2,-2,1,1,2,2]],[[1,1,2,1],[
3,1,2,1,3,1],[3,4],[5,-1,4,3,5,1]]],[[[1,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[
5,6],[6,1,1,1,6,1]]],[[[1,1]],[[1,1,2,1],[3,2,2,1],[3,1,4,2],[5,6]]],[[[1,
1]],[[2,1]]]]);
ACLT( "J3",
"sortperm",( 10, 11)( 13, 17, 16)( 18, 20)( 21, 22, 23)( 24, 25, 28, 29)
( 31, 32, 35)( 33, 34, 37)( 36, 38)( 41, 43)( 46, 48, 47, 49, 51, 50, 52)
( 55, 56, 57)( 58, 62, 61, 59)( 60, 63)( 65, 66)( 68, 69, 74, 72, 71, 70)
( 78, 83, 79, 80, 81, 82)( 92, 93, 95, 96, 94)(109,110)(118,119));
ACLT( "J3",
"otherwords",[,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,6,-1,5,2,3,2,4,1,6,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[3,2],[7,1,4,1,5,-1,6,-2,5,1,7,1,4,-1],[8,3]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,1,5,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,-1,3,1,1,1,4,1,2,1,1,1,4,1,3,-1,4,1],[5,2]]],,,[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,4,-1,1,1,3,-1],[6,3]],[[1,1,2,1,1,1,2,
-1],[3,3]]],,[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-2,2,1,1,1],[5,4]],[[2,
1,1,1,2,-1,1,1],[3,3]]],[[[1,1,2,1],[2,1,1,1],[2,-1,4,-1,1,1,3,-1,2,1,1,1,4,1,
3,-2,2,-1],[5,4]],[[1,1,2,1,1,1,2,-1],[3,3]]],,[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,-2,5,-1,2,-1,4,-1,1,1,3,-1,5,-1],[6,4]],[[1,1,2,1],[2,1,1,1],[3,1,
1,1,4,1,2,1,4,-1,3,1],[5,2]]]]);

LIBTOM( "J3.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,3,7],[1,2,3,8],[1,3,9],[1,3,10],[1,
11],[1,2,4,12],[1,3,4,13],[1,2,5,14],[1,3,5,15],[1,3,4,16],[1,2,5,17],[1,3,6,
7,18],[1,2,3,7,8,19],[1,2,3,6,8,20],[1,3,9,21],[1,3,9,22],[1,3,9,23],[1,3,9,
10,24],[1,3,9,25],[1,3,6,9,26],[1,2,3,8,9,27],[1,2,3,8,9,28],[1,2,3,6,8,10,
29],[1,2,3,7,8,10,30],[1,3,7,9,31],[1,3,6,9,32],[1,3,7,10,33],[1,2,3,8,9,10,
34],[1,5,35],[1,4,5,36],[1,5,37],[1,3,11,38],[1,3,11,39],[1,3,11,40],[1,3,4,6,
41],[1,3,5,6,42],[1,3,5,7,43],[1,3,4,6,16,44],[1,3,4,10,16,45],[1,2,3,4,8,12,
16,46],[1,2,3,4,8,12,16,47],[1,3,4,7,13,16,48],[1,2,3,5,8,14,15,17,49],[1,3,4,
9,16,50],[1,3,4,10,16,51],[1,4,11,52],[1,3,6,7,18,53],[1,3,6,9,32,54],[1,3,6,
9,25,32,55],[1,3,6,9,10,21,24,26,56],[1,2,3,8,9,21,25,27,57],[1,2,3,8,9,23,25,
27,58],[1,3,7,9,22,25,31,59],[1,2,3,8,9,10,22,24,28,60],[1,3,6,9,25,26,32,
61],[1,2,3,8,9,10,25,28,34,62],[1,2,3,7,8,9,10,24,30,31,33,34,63],[1,2,3,6,8,
9,10,24,27,29,32,34,64],[1,3,6,7,9,18,31,32,65],[1,2,3,7,8,9,10,19,27,30,31,
34,66],[1,2,3,6,8,9,20,27,28,32,67],[1,2,3,6,8,9,10,20,26,28,29,34,68],[1,2,3,
6,7,8,10,18,19,29,30,33,69],[1,3,9,10,23,24,25,70],[1,2,3,6,8,9,23,26,27,71],[
1,2,3,7,8,9,23,28,31,72],[1,2,3,7,8,9,21,28,31,73],[1,2,3,8,9,22,27,28,74],[1,
3,6,7,9,22,26,31,75],[1,3,6,7,9,18,32,76],[1,3,6,7,10,18,33,77],[1,3,6,9,23,
32,78],[1,3,6,9,21,23,32,79],[1,3,6,9,22,32,80],[1,2,3,8,9,10,21,22,34,81],[1,
2,3,8,9,10,22,23,34,82],[1,83],[1,3,5,15,35,84],[1,2,4,5,12,14,36,85],[1,2,5,
14,17,35,86],[1,2,4,5,12,17,36,87],[1,3,4,5,15,16,36,88],[1,2,5,14,37,89],[1,
3,5,15,37,90],[1,2,5,17,37,91],[1,92],[1,3,10,11,38,93],[1,3,10,11,38,94],[1,
3,7,11,38,39,40,95],[1,3,4,9,16,25,96],[1,3,5,6,9,15,26,42,97],[1,3,5,7,9,15,
31,43,98],[1,2,3,5,6,8,10,14,29,42,99],[1,2,3,5,7,8,10,14,30,43,100],[1,2,3,4,
6,8,10,12,29,41,101],[1,2,3,4,6,8,12,16,20,44,46,47,102],[1,2,3,4,8,9,10,12,
16,34,45,46,50,103],[1,3,4,7,10,13,16,33,45,48,51,104],[1,3,4,7,9,13,16,31,48,
50,105],[1,2,3,4,7,8,10,12,13,16,30,46,48,51,106],[1,2,3,4,8,9,12,16,28,47,50,
107],[1,3,4,9,10,16,24,50,51,108],[1,3,4,9,16,21,50,109],[1,3,4,9,16,22,50,
110],[1,3,4,6,7,16,18,41,111],[1,2,3,5,7,8,17,19,43,112],[1,2,3,5,6,8,17,20,
42,113],[1,3,4,6,9,16,26,44,50,114],[1,2,3,4,6,8,10,12,16,29,44,45,47,115],[1,
4,5,35,36,116],[1,5,35,37,117],[1,3,4,11,13,39,52,118],[1,3,4,11,16,38,52,
119],[1,3,4,11,13,40,52,120],[1,3,6,9,25,26,32,55,61,121],[1,2,3,6,8,9,20,27,
28,32,54,67,122],[1,3,6,7,9,18,31,32,53,65,76,123],[1,2,3,6,7,8,10,18,19,29,
30,33,53,69,77,124],[1,2,3,6,8,9,10,20,24,25,26,27,28,29,32,34,61,62,64,67,68,
125],[1,2,3,6,7,8,9,10,18,19,24,27,29,30,31,32,33,34,63,64,65,66,69,126],[1,3,
6,9,21,23,25,26,32,61,78,79,127],[1,2,3,6,8,9,10,21,22,23,24,27,29,32,34,64,
79,80,81,82,128],[1,3,6,9,22,25,32,55,80,129],[1,3,6,9,21,23,32,54,79,130],[1,
3,6,7,9,18,23,31,32,65,78,131],[1,2,3,6,8,9,20,22,23,27,28,32,67,78,80,132],[
1,3,6,7,9,18,25,31,32,54,55,65,76,133],[1,2,3,6,8,9,20,21,23,25,27,28,32,55,
57,58,67,79,134],[1,2,3,6,8,9,10,23,24,25,27,29,32,34,55,58,64,70,78,135],[1,
2,3,6,8,9,10,23,24,27,29,32,34,54,64,78,136],[1,3,6,9,22,25,26,32,54,61,80,
137],[1,2,3,6,8,9,10,21,23,24,25,26,27,29,32,34,56,57,61,64,70,71,79,138],[1,
2,3,7,8,9,10,22,23,24,25,28,30,31,33,34,59,60,62,63,70,72,82,139],[1,3,6,9,21,
22,23,32,78,79,80,140],[1,3,6,7,9,10,18,31,32,33,65,77,141],[1,2,3,6,7,8,9,10,
18,19,29,30,32,33,69,76,77,142],[1,2,3,6,8,9,10,20,22,24,27,28,29,32,34,60,64,
67,74,80,143],[1,2,3,6,8,9,20,23,25,26,27,28,32,58,61,67,71,78,144],[1,3,6,7,
9,18,22,25,26,31,32,59,61,65,75,80,145],[1,2,3,7,8,9,10,19,21,22,25,27,28,30,
31,34,57,59,62,66,73,74,81,146],[1,2,3,6,7,8,9,10,20,21,22,24,26,28,29,30,31,
33,34,56,60,63,68,73,75,81,147],[1,2,3,6,7,8,9,18,20,21,23,27,28,31,32,65,67,
72,73,79,148],[1,2,3,6,7,8,9,10,19,20,22,23,26,27,28,29,30,31,34,66,68,71,72,
74,75,82,149],[1,2,83,150],[1,2,83,151],[1,3,83,152],[1,3,5,9,15,35,84,153],[
1,3,5,10,15,35,84,154],[1,3,4,5,6,16,36,41,42,44,155],[1,2,3,5,8,14,15,17,35,
49,84,86,156],[1,2,3,4,5,8,12,14,15,16,17,36,47,49,85,87,88,157],[1,2,3,5,8,
14,15,17,37,49,89,90,91,158],[1,2,92,159],[1,3,7,10,11,33,38,39,40,93,94,95,
160],[1,3,4,6,7,18,41,53,161],[1,3,5,6,7,18,42,43,53,162],[1,3,4,6,9,16,25,26,
32,50,61,96,163],[1,2,3,4,8,9,10,16,25,28,34,51,62,96,164],[1,2,3,4,8,9,12,16,
21,25,27,46,57,96,165],[1,3,4,7,9,13,16,22,25,31,48,59,96,166],[1,2,3,4,8,9,
12,16,23,25,27,47,58,96,167],[1,3,4,9,10,16,23,24,25,45,70,96,168],[1,3,4,6,7,
16,18,41,44,53,111,169],[1,3,4,6,9,16,25,32,44,55,96,170],[1,3,5,6,9,32,42,54,
171],[1,2,3,4,6,7,8,10,12,16,18,19,29,30,33,41,47,69,101,111,172],[1,2,3,5,6,
8,9,10,14,15,17,20,26,28,29,34,42,49,68,97,99,113,173],[1,2,3,5,7,8,9,10,14,
15,17,19,27,30,31,34,43,49,66,98,100,112,174],[1,2,3,4,6,8,9,10,12,16,20,26,
28,29,34,44,45,46,47,50,68,102,103,107,114,115,175],[1,3,4,6,7,10,16,18,33,41,
45,77,111,176],[1,3,4,6,9,10,16,21,24,26,44,50,51,56,108,109,114,177],[1,2,3,
4,7,8,9,10,12,13,16,24,30,31,33,34,45,46,48,50,51,63,103,104,105,106,108,
178],[1,2,3,4,8,9,10,12,16,22,24,28,47,50,51,60,107,108,110,179],[1,3,4,6,7,9,
13,16,22,26,31,44,48,50,75,105,110,114,180],[1,2,3,4,7,8,9,12,13,16,21,28,31,
47,48,50,73,105,107,109,181],[1,2,3,4,8,9,10,12,16,21,22,34,45,46,50,81,103,
109,110,182],[1,3,4,5,15,16,35,36,84,88,116,183],[1,2,4,5,12,14,17,35,36,85,
86,87,116,184],[1,3,5,15,35,37,84,90,117,185],[1,2,5,14,17,35,37,86,89,117,
186],[1,2,5,14,17,35,37,86,91,117,187],[1,5,92,188],[1,3,5,6,11,15,38,42,
189],[1,3,5,7,11,15,38,43,190],[1,3,5,7,11,15,39,43,191],[1,3,4,6,11,13,39,41,
192],[1,3,4,7,11,13,16,38,39,40,48,52,95,118,119,120,193],[1,3,4,10,11,16,38,
51,52,93,119,194],[1,3,4,10,11,16,38,45,52,94,119,195],[1,3,6,7,9,18,25,31,32,
53,54,55,65,76,123,133,196],[1,2,3,6,8,9,10,20,21,23,24,25,26,27,28,29,32,34,
55,56,57,58,61,62,64,67,68,70,71,78,79,121,125,127,134,135,138,144,197],[1,2,
3,6,7,8,9,18,20,21,23,25,27,28,31,32,54,55,57,58,65,67,72,73,76,79,122,130,
133,134,148,198],[1,3,6,7,9,18,21,23,25,31,32,54,55,65,76,79,130,133,199],[1,
3,6,7,9,18,22,25,26,31,32,54,55,59,61,65,75,76,80,121,129,133,137,145,200],[1,
3,6,7,9,10,18,25,31,32,33,54,55,65,76,77,133,141,201],[1,3,6,7,9,18,22,25,31,
32,54,55,65,76,80,129,133,202],[1,2,3,6,7,8,9,10,18,19,23,24,25,27,29,30,31,
32,33,34,54,55,58,63,64,65,66,69,70,76,78,126,131,133,135,136,203],[1,2,3,6,7,
8,9,10,18,19,24,27,29,30,31,32,33,34,53,63,64,65,66,69,76,77,123,124,126,141,
142,204],[1,3,6,7,9,10,18,23,31,32,33,53,65,76,77,78,123,131,141,205],[1,2,3,
6,8,9,10,20,22,23,24,25,26,27,28,29,32,34,54,58,60,61,62,64,67,68,71,74,78,80,
122,125,132,136,137,143,144,206],[1,2,3,6,8,9,10,20,21,22,23,24,25,27,28,29,
32,34,55,57,58,60,64,67,70,74,78,79,80,81,82,128,129,132,134,135,140,143,
207],[1,2,3,6,8,9,10,21,22,23,24,25,26,27,29,32,34,54,56,57,61,64,70,71,78,79,
80,81,82,127,128,130,136,137,138,140,208],[1,2,3,6,7,8,9,10,18,19,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,34,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,79,80,81,82,125,126,128,138,139,143,145,146,147,148,149,209],[1,2,
3,6,7,8,9,18,20,21,22,23,25,26,27,28,31,32,58,59,61,65,67,71,72,73,75,78,79,
80,127,131,132,140,144,145,148,210],[1,2,3,8,83,150,151,152,211],[1,3,9,83,
152,212],[1,3,10,83,152,213],[1,3,5,9,10,15,24,35,84,153,154,214],[1,2,3,4,5,
6,8,10,12,14,16,29,36,41,42,44,45,47,85,99,101,115,155,215],[1,3,5,9,15,22,35,
84,153,216],[1,2,3,4,5,6,8,12,16,17,20,36,41,42,44,46,47,87,102,113,155,217],[
1,2,3,5,8,9,14,15,17,28,35,49,84,86,153,156,218],[1,3,4,5,6,9,15,16,26,36,41,
42,44,50,88,97,114,155,219],[1,3,6,7,11,18,53,220],[1,4,5,35,36,37,116,117,
221],[1,2,3,4,6,7,8,10,12,18,19,29,30,33,41,53,69,77,101,124,161,222],[1,3,5,
6,7,9,15,18,31,32,42,43,53,65,76,98,123,162,223],[1,2,3,5,6,7,8,10,14,18,19,
29,30,33,42,43,53,69,77,99,100,124,162,224],[1,2,3,4,6,8,9,10,12,16,21,23,24,
25,26,27,29,32,34,45,46,50,56,57,61,64,70,71,79,96,103,138,163,165,168,225],[
1,2,3,4,7,8,9,10,13,16,22,23,24,25,28,30,31,33,34,45,48,51,59,60,62,63,70,72,
82,96,104,139,164,166,168,226],[1,2,3,4,6,8,9,10,16,20,24,25,26,27,28,29,32,
34,50,51,61,62,64,67,68,96,108,125,163,164,227],[1,3,4,6,9,16,22,25,26,32,50,
54,61,80,96,110,137,163,228],[1,3,4,6,9,16,25,26,32,44,50,55,61,96,114,121,
163,170,229],[1,3,4,6,9,16,21,23,25,26,32,50,61,78,79,96,109,127,163,230],[1,
3,4,6,7,9,16,18,31,32,41,53,65,76,111,123,161,231],[1,2,3,5,6,7,8,10,17,18,19,
29,30,33,42,43,53,69,77,112,124,162,232],[1,3,4,6,7,9,13,16,18,22,25,26,31,32,
48,50,59,61,65,75,80,96,105,145,163,166,233],[1,2,3,4,6,8,9,12,16,20,23,25,26,
27,28,32,47,50,58,61,67,71,78,96,107,144,163,167,234],[1,2,3,4,7,8,9,10,12,13,
16,19,21,22,25,27,28,30,31,34,46,48,51,57,59,62,66,73,74,81,96,106,146,164,
165,166,235],[1,2,3,4,6,8,9,10,12,16,23,24,25,27,29,32,34,44,45,47,55,58,64,
70,78,96,115,135,167,168,170,236],[1,2,3,4,6,8,9,12,16,20,21,23,25,27,28,32,
44,46,47,55,57,58,67,79,96,102,134,165,167,170,237],[1,3,5,6,9,15,22,25,26,32,
42,54,61,80,97,137,171,238],[1,2,3,5,6,8,9,10,14,23,24,27,29,32,34,42,54,64,
78,99,136,171,239],[1,2,3,5,6,8,9,17,20,27,28,32,42,54,67,113,122,171,240],[1,
2,3,4,6,7,8,10,12,16,18,19,29,30,33,41,44,45,47,53,69,77,101,111,115,124,169,
172,176,241],[1,2,3,4,6,7,8,9,10,12,13,16,20,21,22,24,26,28,29,30,31,33,34,44,
45,46,47,48,50,51,56,60,63,68,73,75,81,102,103,104,105,106,107,108,109,110,
114,115,147,175,177,178,179,180,181,182,242],[1,3,4,5,9,15,16,35,36,50,84,88,
116,153,183,243],[1,3,4,5,10,15,16,35,36,51,84,88,116,154,183,244],[1,2,3,4,5,
8,12,14,15,16,17,35,36,47,49,84,85,86,87,88,116,156,157,183,184,245],[1,2,3,5,
8,14,15,17,35,37,49,84,86,89,90,91,117,156,158,185,186,187,246],[1,2,5,17,92,
159,188,247],[1,3,4,6,7,11,13,16,18,38,39,40,41,48,95,111,192,248],[1,2,3,5,7,
8,10,11,14,15,17,30,38,43,49,94,100,190,249],[1,2,3,5,6,8,10,11,14,15,17,29,
38,42,49,94,99,189,250],[1,3,4,7,10,11,13,16,33,38,39,40,45,48,51,52,93,94,95,
104,118,119,120,160,193,194,195,251],[1,2,3,6,7,8,9,18,20,21,23,25,27,28,31,
32,53,54,55,57,58,65,67,72,73,76,79,122,123,130,133,134,148,196,198,199,252],[
1,3,6,7,9,18,22,25,26,31,32,53,54,55,59,61,65,75,76,80,121,123,129,133,137,
145,196,200,202,253],[1,2,3,6,7,8,9,10,18,19,23,24,25,27,29,30,31,32,33,34,53,
54,55,58,63,64,65,66,69,70,76,77,78,123,124,126,131,133,135,136,141,142,196,
201,203,204,205,254],[1,2,3,6,7,8,9,10,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,78,79,80,81,82,121,122,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,143,144,145,146,147,148,149,197,198,200,203,206,207,208,209,210,
255],[1,2,3,6,7,8,9,10,18,19,21,22,23,24,25,27,29,30,31,32,33,34,54,55,58,63,
64,65,66,69,70,76,78,79,80,126,129,130,131,133,135,136,199,202,203,256],[1,2,
3,6,7,8,9,10,18,20,21,22,23,25,27,28,31,32,33,54,55,57,58,65,67,72,73,76,77,
79,80,122,129,130,133,134,141,148,198,201,202,257],[1,3,6,7,9,10,18,21,22,23,
25,26,31,32,33,54,55,59,61,65,75,76,77,79,80,121,129,130,133,137,141,145,199,
200,201,258],[1,3,9,22,83,152,212,259],[1,3,9,23,83,152,212,260],[1,2,3,8,9,
10,34,83,150,151,152,211,212,213,261],[1,3,4,5,6,7,16,18,36,41,42,43,44,53,
111,155,161,162,169,262],[1,2,3,5,8,9,10,14,15,17,22,24,28,35,49,60,84,86,153,
154,156,214,216,218,263],[1,2,3,4,5,6,8,9,10,12,14,15,16,17,20,26,28,29,34,36,
41,42,44,45,46,47,49,50,68,85,87,88,97,99,101,102,103,107,113,114,115,155,157,
173,175,215,217,219,264],[1,3,6,7,9,11,18,31,32,38,53,65,76,123,220,265],[1,3,
6,9,11,25,26,32,40,55,61,121,266],[1,2,4,5,12,14,17,35,36,37,85,86,87,89,116,
117,184,186,221,267],[1,3,4,5,15,16,35,36,37,84,88,90,116,117,183,185,221,
268],[1,2,4,5,12,14,17,35,36,37,85,86,87,91,116,117,184,187,221,269],[1,5,37,
92,188,270],[1,3,4,5,6,11,15,16,36,38,41,42,44,52,88,119,155,189,271],[1,3,5,
6,7,9,18,25,31,32,42,43,53,54,55,65,76,123,133,162,171,196,272],[1,3,4,6,7,9,
16,18,25,31,32,41,44,53,54,55,65,76,96,111,123,133,169,170,196,273],[1,3,4,6,
7,9,16,18,25,31,32,41,44,53,54,55,65,76,111,123,133,161,169,196,231,274],[1,2,
3,4,6,8,9,10,16,20,21,23,24,25,26,27,28,29,32,34,44,50,51,55,56,57,58,61,62,
64,67,68,70,71,78,79,96,108,109,114,121,125,127,134,135,138,144,163,164,170,
177,197,227,229,230,275],[1,2,3,4,6,7,8,9,10,12,13,16,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,45,46,48,50,51,56,57,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,79,80,81,82,96,103,104,105,106,108,125,126,128,138,139,
143,145,146,147,148,149,163,164,165,166,168,178,209,225,226,227,233,235,276],[
1,2,3,4,6,7,8,9,10,12,16,18,19,24,27,29,30,31,32,33,34,41,47,53,63,64,65,66,
69,76,77,101,111,123,124,126,141,142,161,172,204,222,231,277],[1,2,3,5,6,7,8,
9,10,14,15,17,18,19,24,27,29,30,31,32,33,34,42,43,49,53,63,64,65,66,69,76,77,
98,99,100,112,123,124,126,141,142,162,174,204,223,224,232,278],[1,3,4,6,7,9,
10,16,18,23,31,32,33,41,45,53,65,76,77,78,111,123,131,141,161,176,205,231,
279],[1,2,3,4,6,8,9,10,12,16,20,21,23,24,25,26,27,28,29,32,34,44,45,46,47,50,
55,56,57,58,61,62,64,67,68,70,71,78,79,96,102,103,107,114,115,121,125,127,134,
135,138,144,163,165,167,168,170,175,197,225,229,234,236,237,280],[1,2,3,4,6,8,
9,10,12,16,21,22,23,24,25,26,27,29,32,34,45,46,50,54,56,57,61,64,70,71,78,79,
80,81,82,96,103,109,110,127,128,130,136,137,138,140,163,165,168,182,208,225,
228,230,281],[1,2,3,4,6,8,9,10,12,16,20,22,23,24,25,26,27,28,29,32,34,47,50,
51,54,58,60,61,62,64,67,68,71,74,78,80,96,107,108,110,122,125,132,136,137,143,
144,163,164,167,179,206,227,228,234,282],[1,3,4,6,7,9,13,16,18,22,25,26,31,32,
44,48,50,54,55,59,61,65,75,76,80,96,105,110,114,121,129,133,137,145,163,166,
170,180,200,228,229,233,283],[1,2,3,4,6,7,8,9,12,13,16,18,20,21,22,23,25,26,
27,28,31,32,47,48,50,58,59,61,65,67,71,72,73,75,78,79,80,96,105,107,109,127,
131,132,140,144,145,148,163,166,167,181,210,230,233,234,284],[1,2,3,5,6,8,9,
10,14,15,17,20,22,23,24,25,26,27,28,29,32,34,42,49,54,58,60,61,62,64,67,68,71,
74,78,80,97,99,113,122,125,132,136,137,143,144,171,173,206,238,239,240,285],[
1,2,3,4,5,8,9,12,14,15,16,17,28,35,36,47,49,50,84,85,86,87,88,107,116,153,156,
157,183,184,218,243,245,286],[1,3,4,5,9,10,15,16,24,35,36,50,51,84,88,108,116,
153,154,183,214,243,244,287],[1,3,4,5,9,15,16,22,35,36,50,84,88,110,116,153,
183,216,243,288],[1,3,4,6,7,11,18,41,52,53,161,220,289],[1,3,4,6,7,10,11,13,
16,18,33,38,39,40,41,45,48,51,77,93,94,95,104,111,160,176,192,248,290],[1,4,5,
35,36,37,116,117,221,291],[1,2,3,6,7,8,9,10,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,252,253,254,255,256,257,
258,292],[1,2,3,8,9,10,22,23,34,82,83,150,151,152,211,212,213,259,260,261,
293],[1,2,3,4,5,6,7,8,10,12,14,16,18,19,29,30,33,36,41,42,43,44,45,47,53,69,
77,85,99,100,101,111,115,124,155,161,162,169,172,176,215,222,224,241,262,
294],[1,3,4,5,6,7,9,15,16,18,31,32,36,41,42,43,44,53,65,76,88,98,111,123,155,
161,162,169,223,231,262,295],[1,2,3,4,5,6,7,8,10,12,16,17,18,19,29,30,33,36,
41,42,43,44,53,69,77,87,101,111,112,124,155,161,162,169,222,232,262,296],[1,3,
6,7,9,11,18,22,25,26,31,32,38,39,40,54,55,59,61,65,75,76,80,95,121,129,133,
137,145,200,266,297],[1,3,6,7,9,10,11,18,23,31,32,33,38,53,65,76,77,78,94,123,
131,141,205,220,265,298],[1,2,3,4,5,8,12,14,15,16,17,35,36,37,47,49,84,85,86,
87,88,89,90,91,116,117,156,157,158,183,184,185,186,187,221,245,246,267,268,
269,299],[1,2,5,17,37,91,92,159,188,247,270,300],[1,3,5,6,9,11,15,26,35,38,42,
84,97,153,189,301],[1,2,3,4,5,6,8,10,11,12,14,15,16,17,29,36,38,41,42,44,45,
47,49,52,85,87,88,94,99,101,115,119,155,157,189,195,215,250,271,302],[1,3,5,6,
7,9,15,18,22,25,26,31,32,42,43,53,54,55,59,61,65,75,76,80,97,121,123,129,133,
137,145,162,171,196,200,202,238,253,272,303],[1,2,3,4,6,7,8,9,12,16,18,20,21,
23,25,27,28,31,32,41,44,46,47,53,54,55,57,58,65,67,72,73,76,79,96,102,111,122,
123,130,133,134,148,165,167,169,170,196,198,199,237,252,273,304],[1,3,4,6,7,9,
16,18,22,25,26,31,32,41,44,50,53,54,55,59,61,65,75,76,80,96,111,114,121,123,
129,133,137,145,163,169,170,196,200,202,229,253,273,305],[1,2,3,5,6,7,8,9,17,
18,20,21,23,25,27,28,31,32,42,43,53,54,55,57,58,65,67,72,73,76,79,113,122,123,
130,133,134,148,162,171,196,198,199,240,252,272,306],[1,2,3,5,6,7,8,9,10,14,
18,19,23,24,25,27,29,30,31,32,33,34,42,43,53,54,55,58,63,64,65,66,69,70,76,77,
78,99,100,123,124,126,131,133,135,136,141,142,162,171,196,201,203,204,205,224,
239,254,272,307],[1,2,3,4,6,7,8,9,10,12,16,18,19,23,24,25,27,29,30,31,32,33,
34,41,44,45,47,53,54,55,58,63,64,65,66,69,70,76,77,78,96,101,111,115,123,124,
126,131,133,135,136,141,142,167,168,169,170,172,176,196,201,203,204,205,236,
241,254,273,308],[1,2,3,4,6,7,8,9,10,12,16,18,19,23,24,25,27,29,30,31,32,33,
34,41,44,45,47,53,54,55,58,63,64,65,66,69,70,76,77,78,101,111,115,123,124,126,
131,133,135,136,141,142,161,169,172,176,196,201,203,204,205,222,231,241,254,
274,277,279,309],[1,2,3,4,6,7,8,9,10,12,13,16,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,44,45,46,47,48,50,51,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,96,102,103,104,105,106,107,
108,109,110,114,115,121,122,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,143,144,145,146,147,148,149,163,164,165,166,167,168,170,175,
177,178,179,180,181,182,197,198,200,203,206,207,208,209,210,225,226,227,228,
229,230,233,234,235,236,237,242,255,275,276,280,281,282,283,284,310],[1,2,3,4,
5,8,9,10,12,14,15,16,17,22,24,28,35,36,47,49,50,51,60,84,85,86,87,88,107,108,
110,116,153,154,156,157,179,183,184,214,216,218,243,244,245,263,286,287,288,
311],[1,3,4,6,7,9,11,16,18,31,32,38,41,52,53,65,76,111,119,123,161,220,231,
265,289,312],[1,3,4,5,15,16,35,36,37,84,88,90,116,117,183,185,221,268,291,
313],[1,2,4,5,12,14,17,35,36,37,85,86,87,89,91,116,117,184,186,187,221,267,
269,291,314],[1,3,4,5,6,7,9,16,18,25,31,32,36,41,42,43,44,53,54,55,65,76,96,
111,123,133,155,161,162,169,170,171,196,231,262,272,273,274,315],[1,2,3,4,5,6,
7,8,9,10,12,14,15,16,17,18,19,24,27,29,30,31,32,33,34,36,41,42,43,44,45,47,49,
53,63,64,65,66,69,76,77,85,87,88,98,99,100,101,111,112,115,123,124,126,141,
142,155,157,161,162,169,172,174,176,204,215,222,223,224,231,232,241,262,277,
278,294,295,296,316],[1,3,6,7,9,10,11,18,21,22,23,25,26,31,32,33,38,39,40,54,
55,59,61,65,75,76,77,79,80,93,94,95,121,129,130,133,137,141,145,160,199,200,
201,258,266,297,317],[1,3,5,6,9,10,11,15,21,24,26,35,38,42,56,84,93,97,153,
154,189,214,301,318],[1,3,5,6,7,9,11,15,22,26,31,35,38,39,40,42,75,84,95,97,
153,189,216,301,319],[1,2,3,5,6,8,9,10,11,14,15,17,20,26,28,29,34,35,38,42,49,
68,84,86,94,97,99,113,153,156,173,189,218,250,301,320],[1,2,3,5,6,7,8,9,10,14,
15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,42,43,49,53,54,55,56,
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,
97,99,100,113,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,162,171,173,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,224,238,239,240,252,253,254,
255,256,257,258,272,285,292,303,306,307,321],[1,2,3,4,6,7,8,9,10,12,16,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,41,44,45,46,47,50,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,96,
101,102,103,107,111,114,115,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,163,165,
167,168,169,170,172,175,176,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,225,229,234,236,237,241,252,253,254,255,256,257,258,273,280,292,
304,305,308,322],[1,3,5,6,7,9,11,15,18,25,31,32,38,42,43,53,54,55,65,76,98,
123,133,162,171,189,190,196,220,223,265,272,323],[1,3,4,6,7,9,10,11,16,18,23,
31,32,33,38,41,45,52,53,65,76,77,78,94,111,119,123,131,141,161,176,195,205,
220,231,265,279,289,298,312,324],[1,3,4,5,9,15,16,35,36,37,50,84,88,90,116,
117,153,183,185,221,243,268,291,313,325],[1,3,4,5,10,15,16,35,36,37,51,84,88,
90,116,117,154,183,185,221,244,268,291,313,326],[1,2,3,4,5,8,12,14,15,16,17,
35,36,37,47,49,84,85,86,87,88,89,90,91,116,117,156,157,158,183,184,185,186,
187,221,245,246,267,268,269,291,299,313,314,327],[1,3,4,5,6,9,11,15,16,26,35,
36,38,41,42,44,50,52,84,88,97,114,116,119,153,155,183,189,219,243,271,301,
328],[1,2,3,4,5,6,7,8,9,12,16,17,18,20,21,23,25,27,28,31,32,36,41,42,43,44,46,
47,53,54,55,57,58,65,67,72,73,76,79,87,96,102,111,113,122,123,130,133,134,148,
155,161,162,165,167,169,170,171,196,198,199,217,231,237,240,252,262,272,273,
274,304,306,315,329],[1,3,4,5,6,7,9,15,16,18,22,25,26,31,32,36,41,42,43,44,50,
53,54,55,59,61,65,75,76,80,88,96,97,111,114,121,123,129,133,137,145,155,161,
162,163,169,170,171,196,200,202,219,229,231,238,253,262,272,273,274,303,305,
315,330],[1,2,3,4,5,6,7,8,9,10,12,14,16,18,19,23,24,25,27,29,30,31,32,33,34,
36,41,42,43,44,45,47,53,54,55,58,63,64,65,66,69,70,76,77,78,85,96,99,100,101,
111,115,123,124,126,131,133,135,136,141,142,155,161,162,167,168,169,170,171,
172,176,196,201,203,204,205,215,222,224,231,236,239,241,254,262,272,273,274,
277,279,294,307,308,309,315,331],[1,2,3,5,6,7,8,9,10,11,14,15,17,20,21,22,24,
26,28,29,30,31,33,34,35,38,39,40,42,49,56,60,63,68,73,75,81,84,86,93,94,95,97,
99,113,147,153,154,156,160,173,189,214,216,218,250,263,301,318,319,320,332],[
1,3,4,6,7,9,11,13,16,18,22,25,26,31,32,38,39,40,41,44,48,50,53,54,55,59,61,65,
75,76,80,95,96,105,110,111,114,121,123,129,133,137,145,163,166,169,170,180,
192,196,200,202,228,229,233,248,253,266,273,283,297,305,333],[1,2,3,5,6,7,8,9,
10,11,14,15,17,18,19,23,24,25,27,29,30,31,32,33,34,38,42,43,49,53,54,55,58,63,
64,65,66,69,70,76,77,78,94,98,99,100,112,123,124,126,131,133,135,136,141,142,
162,171,174,189,190,196,201,203,204,205,220,223,224,232,239,249,250,254,265,
272,278,298,307,323,334],[1,2,3,4,5,8,9,12,14,15,16,17,28,35,36,37,47,49,50,
84,85,86,87,88,89,90,91,107,116,117,153,156,157,158,183,184,185,186,187,218,
221,243,245,246,267,268,269,286,291,299,313,314,325,327,335],[1,3,4,5,9,10,15,
16,24,35,36,37,50,51,84,88,90,108,116,117,153,154,183,185,214,221,243,244,268,
287,291,313,325,326,336],[1,3,4,5,9,15,16,22,35,36,37,50,84,88,90,110,116,117,
153,183,185,216,221,243,268,288,291,313,325,337],[1,3,4,5,6,9,10,11,15,16,21,
24,26,35,36,38,41,42,44,50,51,52,56,84,88,93,97,108,109,114,116,119,153,154,
155,177,183,189,194,214,219,243,244,271,287,301,318,328,338],[1,2,3,4,5,6,8,9,
10,11,12,14,15,16,17,20,26,28,29,34,35,36,38,41,42,44,45,46,47,49,50,52,68,84,
85,86,87,88,94,97,99,101,102,103,107,113,114,115,116,119,153,155,156,157,173,
175,183,184,189,195,215,217,218,219,243,245,250,264,271,286,301,302,320,328,
339],[1,3,4,5,6,7,9,11,13,15,16,22,26,31,35,36,38,39,40,41,42,44,48,50,52,75,
84,88,95,97,105,110,114,116,118,119,120,153,155,180,183,189,193,216,219,243,
271,288,301,319,328,340],[1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,36,41,42,43,44,45,46,47,49,50,53,54,55,56,
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,
85,87,88,96,97,99,100,101,102,103,107,111,113,114,115,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,155,157,161,162,163,165,167,168,169,170,171,172,173,175,176,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,215,217,219,222,
224,225,229,231,234,236,237,238,239,240,241,252,253,254,255,256,257,258,262,
264,272,273,274,277,279,280,285,292,294,303,304,305,306,307,308,309,315,321,
322,329,330,331,341],[1,3,5,6,7,9,15,22,26,31,37,42,43,75,83,90,97,98,152,212,
259,342],[1,3,4,5,6,7,9,11,15,16,18,25,31,32,36,38,41,42,43,44,52,53,54,55,65,
76,88,96,98,111,119,123,133,155,161,162,169,170,171,189,190,196,220,223,231,
262,265,271,272,273,274,289,295,312,315,323,343],[1,3,5,7,11,15,37,38,39,40,
43,90,92,95,188,190,191,270,344],[1,2,3,4,6,7,8,9,10,11,12,13,16,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,38,39,40,41,44,45,46,47,48,50,51,53,54,
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,
81,82,93,94,95,96,101,102,103,104,105,106,107,108,109,110,111,114,115,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,160,163,164,165,166,167,168,169,170,172,175,
176,177,178,179,180,181,182,192,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,225,226,227,228,229,230,233,234,235,236,237,241,242,248,252,
253,254,255,256,257,258,266,273,275,276,280,281,282,283,284,290,292,297,304,
305,308,310,317,322,333,345],[1,2,3,4,5,8,9,10,12,14,15,16,17,22,24,28,35,36,
37,47,49,50,51,60,84,85,86,87,88,89,90,91,107,108,110,116,117,153,154,156,157,
158,179,183,184,185,186,187,214,216,218,221,243,244,245,246,263,267,268,269,
286,287,288,291,299,311,313,314,325,326,327,335,336,337,346],[1,3,4,6,7,11,13,
18,39,41,52,53,83,118,152,161,192,220,289,347],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,20,21,22,24,26,28,29,30,31,33,34,35,36,38,39,40,41,42,44,45,46,47,
48,49,50,51,52,56,60,63,68,73,75,81,84,85,86,87,88,93,94,95,97,99,101,102,103,
104,105,106,107,108,109,110,113,114,115,116,118,119,120,147,153,154,155,156,
157,160,173,175,177,178,179,180,181,182,183,184,189,193,194,195,214,215,216,
217,218,219,242,243,244,245,250,251,263,264,271,286,287,288,301,302,311,318,
319,320,328,332,338,339,340,348],[1,2,3,5,6,7,8,9,10,14,15,17,19,20,22,23,26,
27,28,29,30,31,34,37,42,43,49,66,68,71,72,74,75,82,83,89,90,91,97,98,99,100,
112,113,149,150,151,152,158,173,174,211,212,213,259,260,261,293,342,349],[1,2,
3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,23,24,25,27,29,30,31,32,33,34,36,38,
41,42,43,44,45,47,49,52,53,54,55,58,63,64,65,66,69,70,76,77,78,85,87,88,94,96,
98,99,100,101,111,112,115,119,123,124,126,131,133,135,136,141,142,155,157,161,
162,167,168,169,170,171,172,174,176,189,190,195,196,201,203,204,205,215,220,
222,223,224,231,232,236,239,241,249,250,254,262,265,271,272,273,274,277,278,
279,289,294,295,296,298,302,307,308,309,312,315,316,323,324,331,334,343,350],[
1,3,4,6,7,9,11,13,16,18,31,32,38,39,40,41,48,52,53,65,76,83,95,111,118,119,
120,123,152,161,192,193,212,220,231,248,265,289,312,347,351],[1,3,4,6,7,9,10,
11,13,16,18,23,31,32,33,38,39,40,41,45,48,51,52,53,65,76,77,78,83,93,94,95,
104,111,118,119,120,123,131,141,152,160,161,176,192,193,194,195,205,212,220,
231,248,251,260,265,279,289,290,298,312,324,347,351,352],[1,3,4,5,6,7,9,11,13,
15,16,18,22,25,26,31,32,35,36,37,38,39,40,41,42,43,44,48,50,52,53,54,55,59,61,
65,75,76,80,83,84,88,90,92,95,96,97,98,105,110,111,114,116,117,118,119,120,
121,123,129,133,137,145,152,153,155,161,162,163,166,169,170,171,180,183,185,
188,189,190,191,192,193,196,200,202,212,216,219,220,221,223,228,229,231,233,
238,243,248,253,259,262,265,266,268,270,271,272,273,274,283,288,289,291,295,
297,301,303,305,312,313,315,319,323,325,328,330,333,337,340,342,343,344,347,
351,353],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,2,1,1],[1,1,1],[1,1,1],[1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,7,1,6,1],[1,
4,3,1,6,1],[1,4,3,1,6,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,2,1],[1,1,3,1],[
1,5,2,1,1],[1,4,1,2,1,1],[1,4,1,2,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,2,
1,1],[1,3,1,2,1],[1,3,1,2,1],[1,2,1,1,1,1,1],[1,4,1],[1,3,1,1],[1,1,1],[1,5,1,
1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,
1,3,1,1],[1,6,1,1,3,2,1,1],[1,6,1,1,3,2,1,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,1,6,3,1],[1,3,
1,6,4,3,1],[1,5,2,1,2,1,1,1,1],[1,4,1,2,3,1,1,1,1],[1,4,1,2,3,1,1,1,1],[1,5,2,
3,1,1,1,1],[1,4,1,2,1,2,1,1,1,1],[1,7,3,4,1,3,3,1],[1,6,1,3,3,1,1,3,3,1],[1,2,
5,2,1,1,3,1,2,1,2,1,1],[1,4,3,1,2,2,2,1,1,2,1,2,1],[1,11,1,12,2,2,4,1,1],[1,6,
5,2,11,1,1,2,1,2,1,1,1],[1,8,3,1,12,2,2,2,2,1,1],[1,6,5,2,11,1,1,2,1,1,2,1,
1],[1,4,7,1,6,6,2,1,1,2,2,1,1],[1,1,3,2,1,1,1,1],[1,4,5,2,2,1,1,1,1,1],[1,4,5,
2,2,1,1,1,1,1],[1,4,5,2,2,1,1,1,1,1],[1,8,1,4,1,1,1,1,1],[1,9,2,2,1,1,1,1,1],[
1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,3,1,2,2,1,1],[1,3,1,2,1,1,1,1],[1,3,1,2,
2,1,1],[1,2,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1],[1,1],[1,9,4,12,1,1],[1,9,
3,1,9,3,1,1],[1,3,4,1,3,1,1],[1,3,3,1,1,3,1,1],[1,3,3,1,1,3,1,1],[1,9,1,3,1,
1],[1,9,1,3,1,1],[1,1,1,1,1,1],[1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,11,5,1,1,
1,1,1],[1,1,4,3,4,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,12,3,1,1,18,4,3,3,
1,3,3,1],[1,6,1,1,3,1,3,2,1,3,1,1,1,1],[1,7,1,3,4,2,1,3,1,1,1,1],[1,13,1,6,1,
4,1,3,2,1,1],[1,6,7,1,3,3,1,2,2,1,3,1,1,1,1],[1,12,1,1,6,1,4,1,3,2,1,1],[1,1,
1,1,2,1,1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,3,1,1],[1,7,4,1,6,4,1,1,1],[1,4,
3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,5,1,2,1,5,1,2,1,1],[1,6,3,1,1,3,3,2,
3,3,1,1,1,1],[1,9,4,1,12,1],[1,4,1,3,1],[1,15,1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[
1,3,1,1,1,3,1,1],[1,11,5,10,10,10,15,5,10,1],[1,16,3,1,24,6,4,12,12,3,1,6,1],[
1,19,5,36,6,16,12,3,1,3,3,1],[1,4,15,5,30,6,6,15,1,6,6,3,1,3,3,1],[1,12,7,3,
30,4,2,6,1,1,3,3,6,6,3,6,1,2,3,3,6,1],[1,8,11,1,12,20,2,4,2,4,2,2,4,8,4,1,4,4,
4,2,1,4,4,1],[1,7,3,4,1,3,1,3,3,1,3,3,1],[1,4,3,1,2,2,2,1,2,1,1,1,2,1,2,1,1,1,
2,2,1],[1,3,1,6,4,4,3,1,2,1],[1,3,1,6,2,2,3,1,2,1],[1,11,1,12,2,2,4,4,1,1,2,
1],[1,8,3,1,12,2,2,2,2,2,2,1,1,1,1,1],[1,11,1,12,10,2,4,4,5,1,1,1,4,1],[1,8,3,
1,12,6,2,1,1,4,2,2,3,1,2,2,1,1,1],[1,4,3,1,2,6,2,2,1,4,1,2,3,2,1,2,1,2,1,1],[
1,4,3,1,2,6,2,2,1,1,2,3,2,1,1,1,1],[1,7,3,8,2,1,3,5,1,1,1,1],[1,4,7,3,2,4,2,1,
1,1,1,3,1,2,3,2,1,1,1,1,1,1,1,1],[1,6,5,2,3,3,3,1,1,1,1,3,2,1,2,3,1,1,1,1,1,1,
1,1],[1,3,1,2,1,2,3,1,1,1,1,1],[1,11,1,12,2,8,2,4,1,4,1,2,1],[1,4,7,1,6,6,4,6,
1,1,2,2,2,3,1,1,1,1],[1,12,3,1,14,2,2,2,2,1,3,2,2,1,2,2,1,1,2,1,1],[1,8,7,3,
12,4,2,2,1,3,2,2,3,2,1,1,2,1,1],[1,15,3,12,4,2,2,1,3,4,3,2,1,1,2,1,1],[1,10,5,
2,13,3,1,2,1,1,1,1,3,2,1,3,1,1,1,1,1,1,1,1],[1,6,9,2,2,11,1,3,2,1,1,1,1,1,2,2,
1,2,1,1,1,1,1,1,1,1,1],[1,8,11,1,12,12,2,2,2,1,1,2,2,4,1,1,1,2,2,1,1],[1,10,9,
2,2,21,1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,1],[1,17,1,1],[1,17,
1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,9,4,1,3,4,2,1,1,1],[1,6,9,4,9,
2,12,6,1,6,1,2,1],[1,12,3,3,1,9,10,3,1,3,3,1,3,3,1,1,1,1],[1,10,9,1,9,3,3,1,1,
3,1,1,1,1],[1,19,1,1],[1,11,5,10,1,5,1,1,1,1,1,1,1],[1,15,16,5,30,15,20,1,1],[
1,15,16,5,30,15,8,12,1,1],[1,7,4,3,4,4,1,3,3,4,1,1,1],[1,6,1,4,3,3,1,4,1,3,3,
4,1,1,1],[1,12,1,4,6,3,8,4,3,1,3,4,3,1,1],[1,13,4,6,3,8,4,3,1,3,4,3,1,1],[1,
12,1,4,6,3,8,4,3,1,3,4,3,1,1],[1,1,4,3,6,4,3,3,1,4,3,1,1],[1,15,4,5,30,12,15,
1,4,1,3,1],[1,3,4,1,6,12,4,3,4,1,1,1],[1,3,16,1,6,3,4,1,1],[1,12,7,4,1,6,18,6,
8,4,1,3,6,6,3,1,4,3,2,1,1],[1,10,9,4,4,21,3,3,4,4,4,4,3,3,6,3,1,4,3,1,1,1,1],[
1,10,9,4,4,21,3,3,4,4,4,4,3,6,3,3,1,4,3,1,1,1,1],[1,18,5,1,2,33,1,3,6,5,6,1,3,
6,3,2,1,5,6,1,3,2,1,1,1,2,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,5,1,2,1,2,5,1,
1,1,2,1,2,1,1,1,1,1],[1,6,13,1,6,3,1,5,2,4,1,1,6,3,6,3,1,1,2,1,2,3,1,2,1,2,1,
1],[1,12,1,1,6,1,2,4,1,3,1,3,2,1,2,3,1,1,1,1],[1,17,1,2,6,1,4,5,3,1,3,2,2,1,3,
1,1,1,1],[1,12,13,1,6,6,1,4,4,1,1,3,3,2,2,1,3,1,1,1,1],[1,6,1,1,3,1,3,2,1,1,3,
3,1,1,1,3,1,1,1,1],[1,9,9,4,12,9,1,12,1,12,1,1],[1,9,9,4,9,3,9,1,12,1,3,9,1,
1],[1,27,4,36,1,3,3,9,1,1],[1,9,4,3,9,1,3,3,1,1,1],[1,3,4,1,3,1,3,1,3,1,1],[1,
19,1,1],[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],[1,23,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,
1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,27,9,60,18,30,12,36,9,2,3,3,9,18,6,9,
1],[1,12,11,5,30,10,2,6,1,3,1,10,10,3,6,6,15,6,5,1,3,6,10,2,3,3,6,3,3,3,3,1,1,
1,3,3,3,3,1],[1,16,11,1,12,24,10,2,4,2,2,4,12,12,4,5,1,1,4,4,1,6,4,4,4,2,1,1,
1,2,2,1],[1,11,1,12,10,2,4,4,4,4,5,1,1,1,4,4,2,1,1],[1,19,5,12,14,2,4,10,10,4,
17,1,5,4,10,1,4,4,2,1,1,1,2,2,1],[1,11,1,12,10,16,2,4,4,5,8,1,1,1,4,4,1,2,1],[
1,11,1,12,10,2,8,4,4,5,1,1,1,4,4,2,1,1],[1,8,11,1,12,20,10,4,2,4,4,2,4,2,4,8,
4,5,4,4,1,1,4,4,2,1,4,4,4,4,2,1,1,1,2,2,1],[1,8,19,5,36,20,6,12,16,4,2,2,12,
16,12,3,8,4,1,4,2,3,4,8,3,6,1,2,1,1,2,1],[1,19,5,36,6,8,16,4,12,3,4,1,3,3,2,2,
1,1,1,1],[1,20,7,3,42,8,2,8,2,2,1,1,3,13,16,6,5,6,1,2,2,1,2,3,8,6,2,2,1,1,1,1,
1,1,1,1,1,1],[1,12,3,1,14,6,2,2,1,4,3,1,4,3,2,2,3,2,1,2,4,2,1,1,2,2,1,1,2,2,2,
1,1,1,1,1,1,1,1],[1,4,7,3,2,8,2,2,2,4,1,1,3,1,2,5,2,1,1,1,1,1,1,1,3,4,1,2,2,1,
1,1,1,1,1,1,1],[1,16,15,3,12,48,4,4,2,4,6,1,2,1,2,1,3,4,6,8,8,4,3,4,8,1,1,2,2,
1,2,4,4,1,4,3,6,4,1,1,2,2,2,2,1,1,2,2,1,1,1,1,2,1,1,2,2,1,2,1],[1,8,15,3,12,
12,4,2,2,1,2,5,1,3,2,2,4,3,2,2,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1,1],[1,18,17,
17,1,1,1,1,1],[1,17,17,1,1,1],[1,17,17,1,1,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,
18,3,9,4,1,9,9,30,12,3,9,4,2,1,1,3,3,4,3,6,3,1,1],[1,9,4,9,12,9,1,1,1,1],[1,
12,3,9,4,1,18,4,3,12,3,4,2,1,1,3,3,4,1,3,1,1],[1,12,9,4,18,9,4,12,12,9,1,12,1,
4,1,2,1],[1,9,9,4,4,3,4,9,3,4,2,1,4,3,4,1,3,1,1],[1,15,5,30,16,15,1,1],[1,9,4,
1,12,9,1,3,1],[1,12,15,16,5,30,18,18,16,15,3,18,18,9,20,1,9,9,12,3,1,1],[1,27,
16,5,48,18,16,18,36,9,8,12,1,9,9,12,3,1,1],[1,12,15,16,5,30,18,18,16,15,3,18,
18,9,8,12,1,9,9,8,4,3,1,1],[1,12,7,4,3,6,4,6,8,4,3,3,3,1,3,3,6,3,6,4,4,4,3,3,
1,3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,6,3,3,7,8,4,3,3,3,1,3,6,3,6,3,4,4,4,3,3,1,
3,3,3,3,1,4,3,1,1,1,1],[1,12,7,4,3,30,4,2,4,6,1,1,3,3,6,6,3,6,4,8,1,2,3,3,6,1,
4,1,1,2,1],[1,7,4,3,16,4,6,1,3,9,4,3,1,3,1,4,3,1,1],[1,11,4,5,10,20,10,10,15,
8,4,5,10,1,4,1,1,2,1],[1,7,4,3,4,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,19,16,5,36,
6,16,16,12,3,20,1,3,3,4,1,1,1],[1,4,15,16,5,30,6,6,16,15,1,6,6,3,8,12,1,3,3,4,
1,1,1],[1,31,4,3,36,4,16,4,6,6,1,3,12,3,8,4,6,1,3,6,3,1,4,3,1,2,1],[1,24,7,4,
3,36,4,16,4,6,6,1,3,6,6,3,8,4,6,1,3,6,3,1,4,3,1,2,1],[1,18,13,4,6,33,3,1,8,8,
4,6,3,3,1,3,3,6,3,3,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,12,3,4,1,6,6,6,8,12,
6,3,4,3,6,3,6,4,4,4,1,6,3,6,3,1,4,3,1,1,1,1],[1,24,3,4,1,36,6,16,12,6,3,3,4,6,
6,3,4,12,12,1,6,6,3,3,1,4,3,1,1,1,1],[1,15,16,7,12,16,6,3,9,9,4,1,3,3,4,3,1,
1],[1,12,3,16,1,6,6,6,16,6,3,3,6,3,6,4,1,3,3,4,3,1,1],[1,16,3,16,1,24,6,16,4,
12,12,3,4,1,6,4,1,1,1],[1,12,15,4,5,30,18,18,8,12,15,3,18,18,9,1,4,4,4,1,9,9,
2,3,4,3,1,1,1,1],[1,18,17,1,2,6,33,1,5,6,4,5,6,1,3,1,1,3,6,6,3,6,3,2,1,5,6,2,
1,2,1,3,3,3,3,3,3,2,1,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,9,9,4,9,12,9,1,
12,9,1,12,1,1,1,1],[1,9,9,4,9,12,9,1,12,9,1,12,1,1,1,1],[1,18,9,9,4,27,18,6,
12,9,18,1,12,9,18,1,2,6,18,12,1,3,6,1,2,1],[1,12,27,4,27,4,36,12,1,3,18,3,4,1,
9,3,1,3,3,1,1,1,1],[1,19,19,19,1,1,1,1],[1,31,10,5,30,6,20,10,5,6,6,6,5,10,6,
5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,
6,10,10,10,15,6,5,10,6,5,1,1],[1,23,1,15,20,1,6,5,15,1,3,3,5,5,5,1,1,3,3,5,1,
1,1,3,1,1,1,1],[1,16,27,9,60,24,18,30,4,6,6,12,12,12,36,9,2,3,3,12,12,9,6,12,
12,18,6,1,6,3,9,6,6,1,3,3,1],[1,35,13,60,22,30,12,18,10,36,21,2,3,7,12,10,9,
12,18,6,1,6,3,9,6,6,1,3,3,1],[1,8,27,9,60,20,18,20,30,4,4,2,12,2,20,24,36,9,
12,4,2,3,3,4,4,2,9,4,12,4,18,12,2,6,4,1,1,9,2,2,2,4,1,1,1,2,2,1],[1,24,19,5,
12,76,14,4,2,4,12,2,4,6,2,10,10,14,20,12,8,4,17,4,12,1,5,2,6,12,4,4,10,4,4,6,
1,4,10,12,4,6,6,4,4,4,4,4,6,6,2,4,4,1,1,2,1,2,2,1,1,1,2,1,6,6,2,2,6,4,2,2,6,2,
4,4,2,4,2,1,1,1,2,2,2,2,2,1],[1,8,11,1,12,20,10,4,2,4,4,8,8,2,4,2,4,8,4,5,4,4,
1,1,4,4,2,1,4,4,4,4,2,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,16,11,1,12,24,10,16,2,4,2,
8,2,4,12,12,4,5,8,1,1,4,4,1,6,4,4,4,4,2,4,1,2,1,1,2,2,2,1,1,1,1],[1,19,5,12,
14,16,2,4,4,4,10,10,4,17,8,1,5,4,10,1,4,4,4,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,17,
17,17,1,1,1,1],[1,17,17,17,1,1,1,1],[1,18,17,17,17,17,17,1,1,1,1,1,1,1,1],[1,
15,24,16,5,30,24,15,16,22,8,12,8,1,6,8,1,1,2,1],[1,12,9,4,18,9,18,4,12,12,9,9,
9,1,12,9,1,4,1,2,2,1,1,1,1],[1,30,9,9,4,4,63,3,9,34,12,4,9,12,12,3,9,18,9,4,2,
1,4,3,9,12,12,3,9,4,4,4,1,3,6,4,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,35,5,60,30,16,
20,60,15,16,1,15,15,5,1,1],[1,11,5,10,16,10,10,15,16,5,10,1,1],[1,27,9,4,27,9,
27,1,12,9,3,9,27,9,1,3,3,9,1,1],[1,27,9,4,36,27,1,12,9,3,36,9,1,3,3,1,1,1],[1,
9,9,4,9,3,9,1,12,9,1,3,9,9,1,3,1,3,1,1],[1,19,19,1,1,1],[1,15,21,10,5,6,10,15,
10,6,10,5,5,6,10,6,5,1,1],[1,27,64,9,60,18,30,12,36,9,48,96,2,3,3,9,18,6,9,8,
12,1,1],[1,27,16,9,60,18,48,30,12,36,9,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,
27,16,9,60,18,48,30,12,36,9,20,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,12,11,4,5,
30,10,2,20,6,1,3,1,10,10,3,6,6,15,6,8,4,8,5,1,3,6,10,2,3,3,6,3,3,3,3,1,4,4,4,
1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,24,31,4,3,36,84,4,8,8,16,4,6,12,6,3,6,3,4,
1,3,6,6,12,24,12,3,12,12,4,4,8,4,8,3,3,6,6,1,2,12,6,3,12,3,6,12,3,3,6,6,6,6,3,
3,6,6,1,4,8,4,8,4,1,3,3,3,6,3,3,6,6,3,6,1,2,1,2,1,4,3,1,2,1,1,2,1],[1,24,19,
16,5,36,60,6,36,32,16,16,12,6,6,36,48,12,3,24,12,20,16,1,12,6,3,12,24,3,18,24,
4,1,6,3,3,6,1,4,3,2,1,1],[1,16,27,16,5,48,48,18,24,16,16,16,18,10,6,6,24,36,
36,9,18,12,8,12,16,1,12,6,9,12,18,9,12,12,8,4,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,
19,16,5,36,6,24,16,16,12,12,3,12,20,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,36,11,
4,5,90,10,6,24,20,18,3,9,3,10,10,9,18,18,15,18,8,4,20,24,4,5,3,9,18,10,6,9,9,
18,9,9,9,9,1,8,4,4,4,8,1,3,3,9,9,9,9,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,12,7,4,3,6,
16,6,8,4,4,6,6,3,1,3,3,6,9,6,4,4,4,3,3,3,1,3,3,3,3,6,3,6,6,1,4,4,4,1,3,3,3,3,
3,3,1,1,1,4,3,1,1,1,1],[1,36,7,4,3,66,16,2,16,4,12,6,6,1,1,3,33,36,6,9,6,8,4,
8,3,6,6,1,2,3,18,6,6,6,3,3,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,35,4,5,
36,22,16,20,6,12,10,10,12,21,8,8,4,3,5,12,10,3,12,12,6,1,4,4,4,1,3,3,6,6,1,2,
2,4,3,1,1,1,1],[1,24,31,4,3,36,36,4,16,16,4,6,6,1,6,9,1,3,6,6,12,3,8,8,4,6,6,
1,3,3,6,6,6,6,6,3,3,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,28,15,16,7,78,
12,6,16,16,16,16,6,6,3,3,9,15,24,18,9,18,4,16,1,6,6,3,6,9,12,18,6,6,3,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,36,9,9,4,54,9,36,12,12,9,36,27,1,12,18,36,9,1,
4,12,36,12,9,1,1,6,12,1,4,3,1,2,1],[1,9,9,4,9,18,12,9,9,1,12,9,18,1,12,9,1,1,
2,1,1,1,2,1],[1,9,9,4,9,12,9,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,15,16,5,30,16,
15,20,16,1,1,1,1],[1,31,10,5,30,40,6,20,10,5,30,6,6,6,5,10,10,10,15,6,6,6,10,
5,6,5,1,1,1],[1,9,4,1,12,36,1,12,4,1],[1,24,35,13,60,76,22,20,30,4,12,6,12,10,
2,18,10,14,20,28,24,36,21,12,12,2,3,7,2,14,20,12,4,10,4,4,6,9,4,10,12,12,6,6,
12,12,4,12,18,12,6,10,6,4,4,1,1,6,4,2,1,2,2,3,3,1,2,9,10,6,2,6,6,4,2,2,4,2,6,
6,4,4,6,4,1,2,3,3,3,1,3,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,18,17,17,17,17,17,
17,17,17,1,1,1,1,1,1,1,1,1,1,1],[1,36,15,24,16,5,30,54,54,96,48,24,15,9,54,54,
27,16,22,8,12,8,24,24,1,27,27,16,24,12,48,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,
27,24,16,5,48,18,16,72,18,36,9,16,22,8,12,8,1,9,9,16,12,18,3,8,1,1,2,1,3,1,
1],[1,12,15,24,16,5,30,18,18,16,24,48,15,3,18,18,9,16,22,8,12,8,1,9,9,16,12,6,
12,3,8,1,1,2,1,3,1,1],[1,51,5,60,30,16,10,20,10,10,20,25,16,16,16,5,5,20,10,5,
20,20,10,16,1,5,5,10,10,5,1,1],[1,35,5,60,30,40,16,20,20,60,15,20,16,1,15,15,
10,10,16,5,5,5,5,1,1,1],[1,36,27,9,4,81,36,12,36,27,36,1,12,9,27,54,3,4,12,36,
36,9,9,9,1,3,9,18,9,3,4,1,9,3,1,3,3,1,1,1,1],[1,19,19,19,19,19,1,1,1,1,1,1],[
1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,1],[1,30,15,21,10,5,45,45,6,70,
30,10,15,30,45,10,6,10,5,5,15,15,30,6,10,10,10,18,15,30,15,6,5,10,1,6,5,3,1,
1],[1,51,64,21,60,30,64,30,36,30,30,36,45,48,96,2,3,15,36,30,9,36,18,18,16,3,
6,9,9,18,18,8,12,1,9,9,12,3,1,1],[1,48,27,16,9,60,72,18,64,48,30,12,18,18,12,
36,36,36,9,8,16,48,48,2,3,3,36,36,9,18,36,36,18,18,12,16,24,3,6,9,9,18,18,12,
12,8,12,1,9,9,12,3,1,1],[1,35,16,13,60,22,80,30,12,18,10,36,21,8,32,16,2,3,7,
12,10,9,12,18,6,12,24,16,1,6,3,9,6,6,4,8,16,1,3,3,4,1,1,1],[1,16,27,64,9,60,
24,18,64,30,4,6,6,12,12,12,36,9,48,96,2,3,3,12,12,9,6,12,12,18,6,16,1,6,3,9,6,
6,8,12,1,3,3,4,1,1,1],[1,24,27,64,9,60,60,18,60,64,30,12,12,6,12,6,60,72,36,9,
36,12,48,96,2,3,3,12,12,6,9,12,36,12,18,36,6,48,32,6,12,3,3,9,6,6,6,12,8,12,1,
3,3,6,6,8,4,3,1,1],[1,24,27,16,9,60,60,18,60,32,48,30,12,12,6,12,6,60,72,36,9,
36,12,8,16,16,16,2,3,3,12,12,6,9,12,36,12,18,36,6,12,16,24,16,6,12,3,3,9,6,6,
6,12,4,4,8,12,8,8,1,3,3,6,6,4,8,3,1,1],[1,24,27,16,9,60,60,18,60,32,48,30,12,
12,6,12,6,60,72,36,9,36,12,20,16,16,16,2,3,3,12,12,6,9,12,36,12,18,36,6,24,12,
16,6,12,3,3,9,6,6,6,12,1,4,4,4,1,3,3,6,6,2,3,4,3,1,1,1,1],[1,48,35,4,5,36,168,
22,8,24,16,20,6,12,24,4,12,12,4,10,10,36,48,24,24,12,21,12,24,8,4,20,24,8,4,8,
3,5,4,12,24,12,12,10,8,12,12,3,12,24,24,12,12,12,12,12,12,12,12,12,12,6,12,12,
1,8,4,8,4,8,4,4,4,4,4,8,1,3,4,3,4,6,3,3,3,6,3,12,12,6,6,12,12,6,6,12,6,12,12,
6,12,1,2,1,2,2,1,2,4,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,2,1,1,1,1,1,1,2,2,2,4,3,
1,1,1,1,1,1,1,1],[1,36,9,9,4,54,9,18,36,12,12,9,36,27,9,27,1,12,18,36,9,18,27,
1,4,12,36,12,9,9,9,1,1,2,6,12,9,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,35,16,5,60,30,
16,80,20,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,81,9,4,108,81,1,12,36,
9,108,108,1,12,9,12,4,12,1,1],[1,27,9,4,27,9,27,1,12,36,3,9,27,9,27,1,12,3,9,
9,4,1,3,1,1],[1,27,48,64,9,60,18,144,30,12,36,9,64,48,48,96,48,2,3,3,9,18,12,
48,6,9,48,2,8,16,12,12,1,6,8,1,1,2,1],[1,48,27,24,16,5,48,144,18,72,112,48,16,
72,48,18,30,18,18,72,108,36,9,54,36,16,22,8,12,8,24,72,48,1,36,18,9,36,54,9,
36,16,16,16,12,24,12,60,18,12,24,3,12,9,9,18,8,16,1,1,2,18,12,6,9,8,4,1,3,3,3,
6,1,3,3,1,1,1,1],[1,51,5,60,30,80,16,10,20,20,20,10,10,20,25,40,16,16,16,5,5,
20,10,5,20,20,20,20,10,16,16,16,1,5,10,5,10,10,10,16,5,5,5,5,1,1,1],[1,45,40,
30,45,90,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,10,1,1],[1,81,40,30,90,
45,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,10,1,1],[1,30,45,40,30,
135,45,45,36,40,120,120,30,45,45,90,45,10,36,30,120,45,10,40,36,30,30,30,10,
20,30,12,10,12,1,1],[1,40,51,64,21,60,180,30,60,64,64,64,30,12,28,6,36,18,6,
30,30,18,36,84,72,36,45,36,36,48,96,64,2,3,15,6,18,36,36,12,30,12,12,18,9,12,
18,36,36,18,18,12,12,12,36,18,36,18,18,18,12,12,16,48,32,16,3,1,6,12,6,3,6,6,
9,3,3,6,9,18,18,6,18,18,12,6,6,12,6,18,18,12,12,6,12,8,12,16,1,6,3,3,9,3,9,3,
6,6,6,6,6,6,6,8,12,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,72,35,16,13,60,228,22,
60,96,80,30,12,36,18,12,30,6,18,10,42,60,84,72,36,21,36,36,8,32,16,80,96,16,2,
3,7,6,42,60,12,12,10,12,12,18,9,12,30,36,36,18,18,36,36,12,12,18,36,18,30,6,
12,12,12,16,32,16,16,24,16,32,1,3,6,12,6,3,6,6,3,9,3,6,9,30,18,6,6,18,12,6,6,
12,6,18,6,12,12,18,12,4,12,16,4,8,16,8,16,8,1,6,9,9,3,3,3,3,6,6,6,6,6,6,6,4,4,
4,8,16,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,75,160,25,180,90,96,160,90,60,180,45,
96,160,360,6,15,15,45,90,120,30,45,30,60,16,48,5,6,10,6,5,1],[1,35,16,5,60,30,
120,16,80,20,60,60,15,60,16,20,80,16,1,15,15,30,30,48,20,16,5,15,15,1,20,16,
15,1,5,1,5,1,3,1,1],[1,81,9,4,81,108,81,1,12,36,81,9,108,108,1,12,9,9,12,4,9,
12,1,1,1],[1,81,9,4,81,108,81,1,12,36,81,9,108,108,1,12,9,9,12,4,9,12,1,1,1],[
1,54,81,9,4,243,54,18,108,81,54,1,12,36,81,162,9,6,18,54,108,18,108,54,1,12,
27,54,54,9,6,12,18,18,4,9,18,2,12,6,1,6,1,2,1],[1,45,81,40,30,45,36,120,45,45,
10,120,36,60,30,30,45,36,10,120,30,45,10,36,10,30,10,12,30,10,12,1,1],[1,48,
27,48,64,9,60,72,18,64,144,192,30,12,18,18,12,36,36,36,9,64,48,48,96,48,48,48,
2,3,3,36,36,9,18,36,36,18,18,64,12,16,48,48,3,6,9,9,18,18,48,2,8,12,12,16,12,
12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,51,48,64,21,60,30,64,240,30,36,30,
30,36,45,64,48,48,96,96,48,2,3,15,36,30,9,36,18,18,64,12,16,48,48,3,6,9,9,18,
18,48,2,8,12,16,24,12,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,72,27,48,64,9,60,
180,18,180,288,192,144,30,36,36,18,12,18,180,216,36,9,108,36,64,48,48,96,48,
144,144,2,3,3,36,36,18,9,36,108,36,18,108,18,64,12,144,96,192,48,144,6,36,9,9,
9,18,18,18,36,48,2,8,12,12,16,12,12,48,48,1,9,9,18,18,48,12,24,6,12,12,48,9,8,
1,1,2,6,6,8,3,3,6,1,1],[1,30,81,40,30,90,135,45,135,36,40,120,120,30,45,45,45,
45,45,90,90,45,90,45,10,36,36,36,30,120,45,45,45,45,45,45,45,10,40,36,36,36,
30,30,30,45,10,20,20,36,30,12,10,10,10,12,10,1,1,1,1,1],[1,131,40,45,300,70,
96,160,200,150,60,50,10,180,45,96,96,96,40,80,80,40,10,15,15,60,10,45,60,90,
30,96,50,40,40,120,40,1,30,15,45,30,30,10,20,40,60,40,16,5,15,15,10,10,10,16,
5,6,5,10,6,5,1],[1,40,75,160,25,180,180,90,180,96,160,160,160,90,40,60,30,60,
30,180,240,180,45,120,60,96,160,360,160,6,15,15,60,60,30,45,60,120,60,90,120,
30,96,120,160,120,40,30,40,15,15,45,30,30,30,60,30,60,40,16,48,5,15,15,30,30,
6,10,30,10,20,16,16,15,6,5,10,6,5,1,1],[1,108,81,9,4,486,81,108,36,108,81,108,
243,1,12,36,162,324,81,9,12,36,108,108,36,108,108,81,1,12,9,54,108,108,9,12,
12,36,36,27,4,9,18,36,4,12,12,9,1,12,1,4,1,2,1],[1,81,9,4,81,162,108,81,81,1,
12,36,81,162,9,108,108,81,1,12,9,18,9,12,9,4,9,18,12,9,1,1,1,2,1],[1,81,9,4,
81,108,81,243,1,12,36,81,9,108,108,81,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,45,
81,40,30,45,90,36,120,45,45,45,45,10,120,36,60,30,30,45,90,36,45,10,120,36,30,
45,45,45,10,36,10,20,30,45,10,12,36,10,30,10,20,12,10,1,1,1,1],[1,90,45,81,40,
30,405,45,135,36,270,120,120,45,360,90,45,135,270,135,10,120,36,60,30,30,45,
45,90,360,45,36,135,10,40,120,360,120,108,30,90,180,30,45,45,90,45,90,10,36,
10,30,60,120,90,45,10,40,12,36,30,30,30,30,10,20,36,30,12,10,1,12,3,1,1],[1,
153,81,40,30,270,45,36,36,120,45,135,45,135,10,120,36,108,108,60,30,30,90,45,
36,135,10,120,108,30,45,45,45,10,36,36,36,10,30,45,10,12,36,30,30,10,12,10,1,
3,1,1],[1,120,51,48,64,21,60,540,30,180,352,192,64,240,192,30,36,84,18,36,54,
18,30,30,54,108,252,216,36,45,108,108,64,48,48,96,96,144,144,288,192,48,2,3,
15,18,54,108,36,36,30,36,36,54,9,36,54,108,108,54,54,36,36,36,36,18,108,54,54,
18,36,36,64,64,64,12,16,144,96,192,64,48,48,48,48,48,192,3,3,6,36,18,9,18,18,
9,9,9,18,9,54,54,18,18,54,36,18,18,36,18,54,18,36,36,18,36,48,64,2,8,12,12,24,
12,16,24,12,48,48,48,48,1,18,9,9,9,9,9,9,18,18,18,18,18,18,18,48,16,16,12,24,
12,12,6,12,24,24,12,12,12,48,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,3,3,
3,6,1,3,3,1,1,1,1],[1,153,136,102,102,153,408,153,153,153,136,102,102,153,18,
136,102,102,18,18,18,1],[1,75,96,160,25,180,90,96,160,480,90,60,180,45,160,96,
140,160,360,160,96,6,15,15,45,90,160,60,120,180,96,30,45,160,6,30,60,60,60,16,
48,5,6,10,30,30,6,16,5,5,10,6,10,6,5,1,1],[1,171,190,285,171,570,190,171,171,
171,285,190,20,171,20,57,57,20,1],[1,120,131,40,45,300,540,70,260,96,240,160,
200,150,60,60,70,60,90,10,50,10,150,180,300,360,180,45,180,60,96,96,96,40,80,
40,200,240,80,40,80,10,15,15,10,150,180,60,60,10,20,60,30,45,60,90,60,180,30,
30,180,180,60,60,90,180,30,90,30,60,60,96,96,96,50,80,80,40,80,40,80,40,40,40,
40,120,40,80,1,15,30,60,10,15,10,30,15,45,15,30,45,90,30,30,30,30,60,30,30,60,
30,30,30,60,60,90,60,96,10,20,50,20,60,10,40,60,40,40,40,40,40,40,40,40,40,16,
5,10,45,45,15,15,15,15,30,30,30,30,30,30,30,10,20,10,10,10,10,10,10,20,20,60,
40,40,16,15,5,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,
1],[1,108,81,9,4,486,81,162,108,36,108,81,108,243,81,243,1,12,36,162,324,81,
162,243,9,12,36,108,108,36,108,108,81,81,81,1,12,9,18,54,108,108,81,9,12,12,
36,36,9,27,27,4,9,18,18,36,27,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,255,
136,85,510,136,680,255,408,340,136,17,120,136,120,17,68,17,17,1],[1,90,153,81,
40,30,270,405,45,225,36,270,36,120,120,45,360,90,45,135,45,45,135,270,270,135,
270,135,10,120,36,108,108,60,30,30,45,45,90,90,360,45,90,36,45,135,135,135,
135,135,135,10,40,120,360,120,36,108,108,30,90,180,30,45,90,45,90,45,45,45,45,
90,45,90,10,36,36,36,135,10,20,30,60,120,108,90,45,45,45,45,45,45,45,10,40,12,
36,36,36,10,30,30,30,30,30,45,10,20,20,36,36,30,30,12,10,10,10,1,12,10,1,3,3,
1,3,1,1,1,1],[1,154,153,136,102,102,765,153,153,408,408,136,102,102,153,153,
153,153,153,306,306,153,153,136,102,102,408,153,153,153,153,153,153,153,18,
136,136,136,102,102,102,102,102,102,153,18,18,18,136,102,102,18,18,18,18,18,
18,18,1,1],[1,120,75,96,160,25,180,540,90,540,96,640,480,160,480,480,90,120,
180,90,60,90,540,720,180,45,360,180,160,96,140,160,360,160,480,480,480,96,6,
15,15,180,180,90,45,180,360,180,90,360,90,160,160,160,288,60,120,480,360,600,
180,120,480,96,30,120,45,45,45,90,90,90,180,160,160,6,30,60,60,60,60,60,180,
120,180,16,48,96,5,45,45,90,90,160,6,40,10,90,30,30,60,60,180,48,48,45,30,6,
16,5,5,10,30,30,30,6,30,10,10,18,16,15,15,30,6,5,10,1,6,5,3,1,1],[1,323,136,
85,1020,510,136,816,680,340,1020,255,136,408,408,340,680,136,17,255,255,120,
408,340,136,136,136,85,120,17,68,136,120,17,85,68,17,17,17,1,1],[1,323,136,85,
1020,510,680,136,816,680,340,1020,1020,255,1020,136,408,408,340,680,680,680,
136,17,255,255,510,510,120,136,408,408,680,340,136,136,136,85,255,255,120,408,
17,340,68,136,136,136,255,120,17,85,68,136,120,17,85,17,68,51,17,17,1,1,1],[1,
26163,23256,103360,43605,523260,261630,837216,837216,2790720,1046520,261630,
1569780,261630,261630,1569780,392445,25840,310080,930240,837216,2511648,
2511648,348840,697680,2093040,697680,2093040,1046520,837216,17442,130815,
130815,1569780,261630,392445,1569780,784890,784890,369360,232560,2790720,
2790720,293760,2511648,261630,697680,2093040,1046520,1046520,1046520,1046520,
25840,310080,837216,837216,837216,26163,261630,392445,392445,784890,784890,
369360,232560,697680,17442,174420,261630,523260,348840,523260,523260,1046520,
232560,310080,293760,279072,837216,1674432,418608,837216,43605,392445,392445,
369360,697680,697680,104652,103360,174420,261630,261630,261630,261630,523260,
232560,418608,130815,369360,174420,104652,156978,310080,293760,279072,43605,
43605,87210,261630,232560,104652,25840,174420,156978,23256,43605,130815,
104652,25840,43605,69768,17442,25840,23256,43605,26163,25840,23256,20520,
17442,29376,6156,6156,1],[1,20520,26163,23256,103360,43605,523260,1569780,
261630,523260,837216,697680,837216,930240,2790720,1046520,2790720,261630,
523260,523260,261630,1569780,784890,261630,261630,261630,784890,1569780,
1569780,3139560,1569780,392445,1569780,1569780,25840,310080,930240,837216,
2511648,2511648,348840,697680,2093040,697680,1046520,1046520,2093040,2093040,
8372160,1046520,2093040,837216,17442,130815,130815,261630,784890,1569780,
1569780,1569780,261630,523260,1569780,784890,392445,1569780,784890,1569780,
1569780,784890,784890,1569780,1569780,1569780,1569780,784890,1569780,784890,
784890,784890,1569780,1569780,369360,232560,310080,930240,2790720,2790720,
930240,2790720,2790720,293760,837216,2511648,2511648,261630,697680,2093040,
2093040,2093040,2093040,697680,1046520,2093040,1046520,2093040,1046520,
1046520,1046520,1046520,1046520,2093040,2093040,1046520,2093040,25840,310080,
837216,837216,837216,26163,130815,261630,523260,261630,392445,261630,784890,
392445,392445,392445,784890,392445,784890,784890,784890,784890,784890,1569780,
784890,784890,1569780,784890,784890,784890,1569780,1569780,784890,1569780,
369360,369360,369360,232560,465120,697680,1395360,2790720,2790720,293760,
2511648,17442,174420,261630,523260,261630,523260,523260,261630,348840,523260,
523260,1046520,2093040,2093040,1046520,1046520,1046520,1046520,1046520,
1046520,1046520,1046520,232560,310080,310080,930240,930240,293760,279072,
837216,1674432,418608,837216,837216,837216,43605,261630,392445,392445,392445,
392445,392445,392445,784890,784890,784890,784890,784890,784890,784890,369360,
369360,369360,232560,697680,697680,697680,697680,697680,104652,103360,174420,
174420,523260,261630,523260,261630,261630,261630,261630,261630,523260,261630,
261630,523260,523260,523260,523260,523260,523260,1046520,1046520,232560,
465120,465120,930240,293760,418608,837216,837216,837216,130815,130815,392445,
392445,392445,392445,392445,369360,369360,369360,174420,697680,697680,104652,
156978,103360,310080,310080,293760,279072,43605,43605,87210,261630,261630,
261630,523260,261630,261630,261630,261630,261630,261630,523260,232560,232560,
232560,104652,418608,25840,392445,369360,174420,174420,174420,156978,313956,
310080,293760,23256,279072,43605,43605,130815,130815,130815,130815,261630,
261630,232560,104652,25840,103360,43605,174420,156978,23256,69768,69768,
130815,130815,17442,104652,25840,51680,51680,23256,43605,43605,43605,69768,
26163,52326,25840,25840,25840,23256,23256,23256,43605,20520,17442,29376,26163,
25840,6156,23256,20520,17442,6156,6156,1,1]],
[1,2,2,3,3,4,4,4,4,4,5,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,
10,10,12,12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,18,18,18,18,18,18,18,
18,19,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,
27,30,30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,34,34,34,36,36,36,36,36,36,38,40,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,54,57,60,60,60,60,60,60,
60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,68,68,68,72,72,72,72,72,72,80,
81,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,
108,114,120,120,120,120,128,128,128,128,128,128,128,136,136,136,144,144,144,
160,160,162,162,162,171,180,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,216,216,216,240,240,243,256,272,288,288,288,320,320,324,342,360,360,
384,384,384,384,384,384,384,384,432,480,486,486,576,576,640,720,720,720,768,
768,960,960,972,972,972,1080,1152,1152,1152,1440,1920,1920,1944,1944,1944,
2160,2160,2160,2304,2448,2880,3420,3840,3888,4080,4320,4896,5760,8160,16320,
50232960,100465920],
[354,349,345,348,327,341,278,209,310,276,251,264,251,246,157,242,158,309,278,
285,310,209,255,310,310,310,255,209,209,126,209,292,204,209,346,299,246,251,
160,160,294,264,174,264,242,242,175,178,49,242,178,251,350,321,322,310,255,
197,209,209,310,276,209,255,292,209,255,209,204,255,255,209,209,209,209,254,
204,255,255,255,209,209,293,311,299,246,157,157,246,158,158,300,251,160,160,
310,264,174,173,174,172,264,242,178,242,178,242,242,242,242,241,174,173,242,
175,346,299,251,251,251,345,321,309,278,310,292,310,255,292,292,292,255,292,
255,255,255,255,255,209,255,254,204,255,255,255,209,209,255,209,293,293,293,
311,287,264,218,157,158,300,160,350,316,310,276,310,276,280,310,294,280,285,
241,173,174,242,241,242,242,242,242,242,242,311,299,299,246,246,300,302,249,
191,290,251,251,251,341,310,292,292,292,292,292,292,254,254,255,255,255,255,
255,293,293,293,311,264,263,264,263,264,324,327,316,316,278,310,276,310,310,
310,310,309,278,310,310,276,280,280,285,285,285,241,242,311,287,286,246,300,
290,249,250,251,321,322,292,292,292,292,292,293,293,293,316,263,264,324,317,
327,299,299,300,302,341,341,331,310,310,309,278,309,310,310,310,310,310,285,
311,311,311,324,290,346,292,293,316,316,316,317,298,299,300,348,302,341,341,
322,321,321,322,309,310,311,324,346,327,341,316,317,348,332,332,321,322,350,
324,346,336,335,348,341,341,341,332,345,334,346,346,346,348,348,348,341,349,
350,344,345,346,352,348,349,350,352,352,354,354],
[1,1,1,1,1,1,1,1,1,1,1,4,4,5,5,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,1,1,11,
11,1,6,6,7,1,4,4,4,4,5,1,1,1,1,1,3,9,9,9,9,9,3,3,3,3,3,3,3,3,3,9,9,9,9,9,9,3,
3,3,1,3,3,1,1,35,36,5,4,5,37,37,1,1,11,11,11,25,42,43,42,43,41,4,4,4,16,16,16,
3,1,4,6,7,6,3,16,1,1,52,11,4,3,6,6,7,3,3,3,3,6,3,6,6,6,9,9,9,9,9,9,9,6,7,9,9,
9,9,9,9,9,1,83,83,35,35,6,35,36,37,92,11,53,53,25,25,96,96,96,96,6,25,54,41,
42,43,16,41,9,16,50,50,50,16,35,36,117,37,5,92,189,190,191,192,52,11,52,6,9,
32,32,32,32,32,32,18,18,32,32,9,9,32,83,83,83,84,155,35,44,84,42,53,5,161,162,
162,96,96,25,96,25,25,53,53,96,96,96,96,96,171,171,54,111,50,35,35,116,117,92,
192,190,189,52,54,55,65,32,65,54,55,83,83,83,53,153,155,220,121,221,117,36,92,
189,196,196,53,61,96,161,162,161,96,96,163,163,163,171,183,84,116,53,192,116,
133,83,262,162,161,266,220,221,92,301,271,272,273,196,196,272,273,231,163,243,
220,291,221,196,262,266,301,301,301,272,273,323,289,291,291,291,301,273,272,
315,301,333,323,313,313,291,301,328,328,315,342,323,344,333,325,347,328,342,
343,347,347,353,353],
[(   1,   2)(   3,   5)(   4,   7)(   6,  10)(   8,  12)(   9,  13)(  11,  16)
(  14,  20)(  15,  21)(  17,  24)(  18,  25)(  19,  27)(  22,  31)(  23,  32)
(  26,  36)(  28,  38)(  29,  39)(  30,  41)(  33,  45)(  34,  46)(  35,  48)
(  37,  51)(  40,  55)(  42,  57)(  43,  58)(  44,  60)(  47,  64)(  49,  66)
(  50,  67)(  52,  70)(  53,  71)(  54,  73)(  56,  76)(  59,  80)(  61,  82)
(  62,  83)(  63,  85)(  65,  88)(  68,  92)(  69,  93)(  72,  97)(  74,  99)
(  75, 100)(  77, 103)(  78, 104)(  79, 106)(  81, 109)(  84, 113)(  86, 115)
(  87, 116)(  89, 119)(  90, 120)(  91, 122)(  94, 126)(  95, 127)(  96, 129)
(  98, 132)( 101, 136)( 102, 137)( 105, 140)( 107, 142)( 108, 143)( 110, 146)
( 111, 147)( 112, 149)( 114, 152)( 117, 156)( 118, 157)( 121, 161)( 123, 163)
( 124, 164)( 125, 166)( 128, 170)( 130, 172)( 131, 173)( 133, 150)( 134, 176)
( 135, 178)( 138, 182)( 139, 183)( 141, 186)( 144, 190)( 145, 191)( 148, 194)
( 151, 196)( 153, 199)( 154, 184)( 155, 201)( 158, 205)( 159, 206)( 160, 207)
( 162, 210)( 165, 214)( 167, 216)( 168, 217)( 169, 219)( 171, 222)( 174, 226)
( 175, 227)( 177, 230)( 179, 232)( 180, 233)( 181, 235)( 185, 239)( 187, 242)
( 188, 243)( 189, 245)( 192, 249)( 193, 250)( 195, 253)( 197, 256)( 198, 257)
( 200, 260)( 202, 262)( 203, 263)( 204, 265)( 208, 270)( 209, 271)( 211, 274)
( 212, 275)( 213, 277)( 215, 280)( 218, 284)( 220, 286)( 221, 287)( 223, 290)
( 224, 291)( 225, 293)( 228, 297)( 229, 298)( 231, 301)( 234, 305)( 236, 261)
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( 264, 342)( 266, 344)( 267, 345)( 268, 347)( 269, 349)( 272, 353)( 273, 354)
( 276, 358)( 278, 360)( 279, 361)( 281, 364)( 282, 365)( 283, 367)( 285, 369)
( 288, 373)( 289, 374)( 292, 378)( 294, 380)( 295, 381)( 296, 383)( 299, 387)
( 300, 388)( 302, 391)( 303, 392)( 304, 394)( 306, 397)( 308, 400)( 310, 402)
( 311, 403)( 314, 407)( 315, 408)( 316, 410)( 318, 413)( 321, 417)( 323, 419)
( 324, 420)( 325, 422)( 328, 426)( 329, 427)( 332, 431)( 333, 432)( 334, 434)
( 337, 438)( 338, 439)( 339, 441)( 340, 442)( 341, 444)( 343, 447)( 346, 451)
( 348, 453)( 350, 455)( 351, 456)( 352, 458)( 355, 462)( 356, 463)( 357, 465)
( 359, 468)( 362, 472)( 363, 473)( 366, 476)( 368, 478)( 370, 481)( 371, 482)
( 372, 484)( 375, 488)( 376, 489)( 377, 491)( 379, 494)( 382, 498)( 384, 500)
( 385, 501)( 386, 503)( 389, 507)( 390, 508)( 393, 512)( 395, 514)( 396, 515)
( 398, 518)( 399, 519)( 401, 522)( 404, 526)( 405, 527)( 406, 529)( 409, 533)
( 411, 535)( 412, 536)( 414, 539)( 415, 446)( 416, 541)( 418, 544)( 421, 548)
( 423, 550)( 424, 551)( 425, 553)( 428, 557)( 429, 558)( 430, 560)( 433, 564)
( 435, 566)( 436, 567)( 437, 569)( 440, 573)( 443, 574)( 445, 576)( 448, 579)
( 449, 580)( 450, 582)( 452, 585)( 454, 588)( 457, 592)( 459, 594)( 460, 595)
( 461, 597)( 464, 601)( 466, 603)( 467, 604)( 469, 607)( 470, 608)( 471, 610)
( 474, 614)( 475, 615)( 477, 618)( 479, 621)( 480, 622)( 483, 626)( 485, 628)
( 486, 629)( 487, 631)( 490, 635)( 492, 637)( 493, 638)( 495, 640)( 496, 641)
( 497, 643)( 499, 646)( 502, 650)( 504, 652)( 505, 653)( 506, 655)( 509, 659)
( 510, 660)( 511, 662)( 513, 665)( 516, 669)( 517, 538)( 520, 673)( 521, 674)
( 523, 677)( 524, 678)( 525, 680)( 528, 683)( 530, 685)( 531, 686)( 532, 688)
( 534, 691)( 537, 695)( 540, 698)( 542, 700)( 543, 701)( 545, 704)( 546, 705)
( 547, 706)( 549, 709)( 552, 713)( 554, 715)( 555, 716)( 556, 718)( 559, 722)
( 561, 724)( 562, 725)( 563, 727)( 565, 730)( 568, 734)( 570, 736)( 571, 737)
( 572, 739)( 575, 742)( 577, 745)( 578, 746)( 581, 749)( 583, 751)( 584, 708)
( 586, 753)( 587, 754)( 589, 757)( 590, 758)( 591, 760)( 593, 763)( 596, 767)
( 598, 625)( 599, 769)( 600, 771)( 602, 774)( 605, 778)( 606, 779)( 609, 783)
( 611, 785)( 612, 786)( 613, 788)( 616, 792)( 617, 793)( 619, 796)( 620, 797)
( 623, 801)( 624, 802)( 627, 806)( 630, 810)( 632, 812)( 633, 813)( 634, 651)
( 636, 817)( 639, 821)( 642, 824)( 644, 826)( 645, 827)( 647, 830)( 648, 831)
( 649, 833)( 654, 839)( 656, 841)( 657, 842)( 658, 844)( 661, 847)( 663, 849)
( 664, 850)( 666, 853)( 667, 776)( 668, 855)( 670, 858)( 671, 859)( 672, 811)
( 675, 864)( 676, 865)( 679, 869)( 681, 871)( 682, 872)( 684, 875)( 687, 879)
( 689, 881)( 690, 882)( 692, 885)( 693, 886)( 694, 888)( 696, 891)( 697, 892)
( 699, 895)( 702, 899)( 703, 900)( 707, 905)( 710, 908)( 711, 909)( 712, 911)
( 714, 914)( 717, 918)( 719, 920)( 720, 921)( 721, 923)( 723, 926)( 726, 930)
( 728, 932)( 729, 933)( 731, 936)( 732, 937)( 733, 939)( 735, 942)( 738, 946)
( 740, 941)( 741, 948)( 743, 951)( 744, 952)( 747, 956)( 748, 957)( 750, 960)
( 752, 963)( 755, 966)( 756, 967)( 759, 971)( 761, 973)( 762, 974)( 764, 977)
( 765, 978)( 766, 980)( 768, 982)( 770, 985)( 772, 987)( 773, 988)( 775, 991)
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( 790,1010)( 791,1012)( 794,1016)( 795,1017)( 798,1021)( 799,1022)( 800,1024)
( 803,1028)( 804,1029)( 805,1030)( 807,1033)( 808,1034)( 809,1036)( 814,1042)
( 815,1043)( 816,1044)( 818,1047)( 819,1048)( 820,1050)( 822, 912)( 823,1054)
( 825,1057)( 828,1061)( 829,1062)( 832,1065)( 834,1067)( 835,1068)( 836,1070)
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( 898,1149)( 901,1153)( 902,1154)( 903,1156)( 904,1157)( 906,1160)( 907,1161)
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(  12,  18,  26)(  13,  19,  28)(  16,  23,  33)(  20,  29,  40)
(  21,  30,  42)(  24,  34,  47)(  25,  35,  49)(  27,  37,  52)
(  31,  43,  59)(  32,  44,  61)(  36,  50,  68)(  38,  53,  72)
(  39,  54,  74)(  41,  56,  77)(  45,  62,  84)(  46,  63,  86)
(  48,  65,  89)(  51,  69,  94)(  55,  75, 101)(  57,  78, 105)
(  58,  79, 107)(  60,  81, 110)(  64,  87, 117)(  66,  90, 121)
(  67,  91, 123)(  70,  95, 128)(  71,  96, 130)(  73,  98, 133)
(  76, 102, 138)(  80, 108, 144)(  82, 111, 148)(  83, 112, 150)
(  85, 114, 153)(  88, 118, 158)(  92, 124, 165)(  93, 125, 167)
(  97, 131, 174)(  99, 134, 177)( 100, 135, 179)( 104, 139, 184)
( 106, 141, 187)( 109, 145, 192)( 113, 151, 197)( 115, 154, 200)
( 116, 155, 202)( 119, 159, 146)( 120, 160, 208)( 122, 162, 211)
( 126, 168, 218)( 127, 169, 220)( 129, 171, 223)( 132, 175, 228)
( 136, 180, 234)( 137, 181, 236)( 140, 185, 240)( 142, 188, 244)
( 143, 189, 246)( 147, 193, 251)( 149, 195, 254)( 152, 198, 258)
( 156, 203, 264)( 157, 204, 266)( 161, 209, 272)( 163, 212, 276)
( 164, 213, 278)( 166, 215, 281)( 170, 221, 288)( 172, 224, 292)
( 173, 225, 294)( 176, 229, 299)( 178, 231, 302)( 182, 237, 308)
( 183, 238, 310)( 186, 241, 314)( 190, 247, 321)( 191, 248, 323)
( 194, 252, 328)( 196, 255, 332)( 199, 259, 337)( 201, 261, 339)
( 205, 267, 346)( 206, 268, 348)( 207, 269, 350)( 210, 273, 355)
( 214, 279, 362)( 216, 282, 366)( 217, 283, 364)( 219, 285, 370)
( 222, 289, 375)( 226, 295, 382)( 227, 296, 384)( 230, 300, 389)
( 232, 303, 393)( 233, 304, 395)( 235, 306, 398)( 239, 311, 404)
( 242, 315, 409)( 243, 316, 411)( 245, 318, 414)( 249, 324, 421)
( 250, 325, 423)( 253, 329, 428)( 256, 333, 433)( 257, 334, 435)
( 260, 338, 440)( 262, 340, 443)( 263, 341, 445)( 265, 343, 448)
( 270, 351, 457)( 271, 352, 459)( 274, 356, 464)( 275, 357, 466)
( 277, 359, 469)( 280, 363, 474)( 284, 368, 479)( 286, 371, 483)
( 287, 372, 485)( 290, 376, 490)( 291, 377, 492)( 293, 379, 495)
( 297, 385, 502)( 298, 386, 504)( 301, 390, 509)( 305, 396, 516)
( 307, 399, 520)( 309, 401, 523)( 312, 405, 528)( 313, 406, 530)
( 317, 412, 537)( 319, 415, 540)( 320, 416, 542)( 322, 418, 545)
( 326, 424, 552)( 327, 425, 554)( 330, 429, 559)( 331, 430, 561)
( 335, 436, 568)( 336, 437, 570)( 342, 446, 577)( 344, 449, 581)
( 345, 450, 583)( 347, 452, 586)( 349, 454, 589)( 353, 460, 596)
( 354, 461, 598)( 358, 467, 605)( 360, 470, 609)( 361, 471, 611)
( 365, 475, 616)( 367, 477, 619)( 369, 480, 623)( 373, 486, 630)
( 374, 487, 632)( 378, 493, 639)( 380, 496, 642)( 381, 497, 644)
( 383, 499, 647)( 387, 505, 654)( 388, 506, 656)( 391, 510, 661)
( 392, 511, 663)( 394, 513, 666)( 397, 517, 670)( 400, 521, 675)
( 402, 524, 679)( 403, 525, 681)( 407, 531, 687)( 408, 532, 689)
( 410, 534, 692)( 413, 538, 696)( 417, 543, 702)( 419, 546, 526)
( 420, 547, 707)( 422, 549, 710)( 426, 555, 717)( 427, 556, 719)
( 431, 562, 726)( 432, 563, 728)( 434, 565, 731)( 438, 571, 738)
( 439, 572, 740)( 444, 575, 743)( 447, 578, 747)( 451, 584, 752)
( 453, 587, 755)( 455, 590, 759)( 456, 591, 761)( 458, 593, 764)
( 462, 599, 770)( 463, 600, 772)( 465, 602, 775)( 468, 606, 780)
( 472, 612, 787)( 473, 613, 789)( 476, 617, 794)( 478, 620, 798)
( 481, 624, 803)( 482, 625, 804)( 484, 627, 807)( 488, 633, 814)
( 489, 634, 815)( 491, 636, 818)( 494, 574, 585)( 498, 645, 828)
( 500, 648, 832)( 501, 649, 834)( 503, 651, 836)( 507, 657, 843)
( 508, 658, 845)( 512, 664, 851)( 514, 667, 854)( 515, 668, 856)
( 518, 671, 860)( 519, 672, 861)( 522, 676, 866)( 527, 682, 873)
( 529, 684, 876)( 533, 690, 883)( 535, 693, 887)( 536, 694, 889)
( 539, 697, 893)( 541, 699, 896)( 544, 703, 901)( 548, 708, 906)
( 550, 711, 910)( 551, 712, 912)( 553, 714, 915)( 557, 720, 922)
( 558, 721, 924)( 560, 723, 927)( 564, 729, 934)( 566, 732, 938)
( 567, 733, 940)( 569, 735, 943)( 573, 741, 949)( 576, 744, 953)
( 579, 748, 958)( 580, 705, 903)( 582, 750, 961)( 588, 756, 968)
( 592, 762, 975)( 594, 765, 979)( 595, 766, 831)( 597, 768, 983)
( 601, 773, 989)( 603, 776, 992)( 604, 777, 994)( 607, 781, 999)
( 608, 782,1001)( 610, 784,1004)( 614, 790,1011)( 615, 791,1013)
( 618, 795,1018)( 621, 799,1023)( 622, 800,1025)( 626, 805,1031)
( 628, 808,1035)( 629, 809,1037)( 631, 811,1039)( 635, 816,1045)
( 637, 819,1049)( 638, 820,1051)( 640, 822,1053)( 641, 823,1055)
( 643, 825,1058)( 646, 829,1063)( 650, 835,1069)( 652, 837,1072)
( 653, 838,1074)( 655, 840,1077)( 659, 846,1083)( 660, 739, 947)
( 662, 848,1086)( 665, 852,1091)( 669, 857,1097)( 673, 862,1103)
( 674, 863,1105)( 677, 867,1109)( 678, 868,1111)( 680, 870,1114)
( 683, 874,1119)( 685, 877,1123)( 686, 878,1124)( 688, 880,1127)
( 691, 884,1132)( 695, 890,1139)( 698, 894,1144)( 700, 897,1148)
( 701, 898,1150)( 704, 902,1155)( 706, 904,1158)( 709, 907,1162)
( 713, 913,1168)( 715, 916,1172)( 716, 917,1174)( 718, 919,1177)
( 722, 925,1184)( 724, 928,1187)( 725, 929,1189)( 727, 931,1192)
( 730, 935,1197)( 734, 941,1203)( 736, 944,1207)( 737, 945,1209)
( 742, 950,1214)( 745, 954,1218)( 746, 955,1220)( 749, 959,1225)
( 751, 962,1229)( 753, 964,1232)( 754, 965,1234)( 757, 969,1239)
( 758, 970,1241)( 760, 972,1244)( 763, 976,1249)( 767, 981,1255)
( 769, 984,1258)( 771, 986,1261)( 774, 990,1266)( 778, 995,1271)
( 779, 996,1146)( 783,1002,1278)( 785,1005,1282)( 786,1006,1284)
( 788,1008,1286)( 792,1014,1293)( 793,1015,1295)( 796,1019, 993)
( 797,1020,1301)( 801,1026,1307)( 802,1027,1309)( 806,1032,1315)
( 810,1038,1322)( 812,1040,1107)( 813,1041,1326)( 817,1046, 864)
( 821,1052,1338)( 824,1056,1343)( 826,1059,1347)( 827,1060,1349)
( 830,1064,1354)( 833,1066,1357)( 839,1075,1367)( 841,1078,1371)
( 842,1079,1372)( 844,1081,1375)( 847,1084,1379)( 849,1087,1382)
( 850,1088,1384)( 853,1092,1378)( 855,1094,1391)( 858,1098,1396)
( 859,1099,1398)( 865,1106,1406)( 869,1112,1412)( 871,1115,1415)
( 872,1116,1417)( 875,1120,1421)( 879,1125,1426)( 881,1128,1430)
( 882,1129,1432)( 885,1133,1437)( 886,1134,1439)( 888,1136,1442)
( 891,1140,1447)( 892,1141,1449)( 895,1145,1454)( 899,1151,1459)
( 900,1152,1085)( 905,1159,1468)( 908,1163,1472)( 909,1164,1474)
( 911,1166,1477)( 914,1169,1480)( 918,1175,1486)( 920,1178,1467)
( 921,1179,1491)( 923,1181,1485)( 926,1185,1281)( 930,1190,1501)
( 932,1193,1505)( 933,1194,1294)( 936,1198,1509)( 937,1199,1511)
( 939,1201,1514)( 942,1204,1518)( 946,1210,1525)( 948,1211,1527)
( 951,1215,1532)( 952,1216,1517)( 956,1221,1538)( 957,1222,1539)
( 960,1226,1544)( 963,1230,1549)( 966,1235,1555)( 967,1236,1557)
( 971,1242,1564)( 973,1245,1568)( 974,1246,1570)( 977,1250,1575)
( 978,1251,1577)( 980,1253,1579)( 982,1024,1305)( 985,1259,1586)
( 987,1262,1590)( 988,1263,1592)( 991,1267,1597)( 997,1273,1603)
( 998,1274,1605)(1000,1276,1608)(1003,1279,1612)(1007,1165,1475)
(1009,1287,1619)(1010,1288,1621)(1012,1290,1624)(1016,1296,1630)
(1017,1297,1632)(1021,1302,1638)(1022,1303,1640)(1028,1310,1648)
(1029,1311,1650)(1030,1312,1652)(1033,1316,1657)(1034,1317,1659)
(1036,1319,1662)(1042,1327,1671)(1043,1328,1369)(1044,1329,1674)
(1047,1332,1677)(1048,1333,1679)(1050,1335,1682)(1054,1340,1686)
(1057,1344,1689)(1061,1350,1695)(1062,1351,1697)(1065,1355,1701)
(1067,1358,1705)(1068,1359,1707)(1070,1361,1710)(1071,1362,1712)
(1073,1364,1715)(1076,1368,1719)(1080,1373,1723)(1082,1376,1727)
(1089,1385,1735)(1090,1386,1737)(1093,1389,1741)(1095,1392,1745)
(1096,1393,1747)(1100,1399,1754)(1101,1400,1756)(1102,1401,1758)
(1104,1403,1761)(1108,1407,1365)(1110,1409,1768)(1113,1413,1773)
(1117,1331,1543)(1118,1418,1779)(1121,1260,1587)(1122,1422,1783)
(1126,1427,1789)(1130,1433,1796)(1131,1434,1798)(1135,1440,1805)
(1137,1443,1809)(1138,1444,1811)(1142,1450,1818)(1143,1451,1820)
(1147,1455,1825)(1153,1461,1832)(1154,1462,1834)(1156,1464,1553)
(1157,1465,1838)(1160,1469,1841)(1161,1470,1843)(1167,1478,1851)
(1170,1481,1855)(1171,1482,1857)(1173,1484,1859)(1176,1487,1862)
(1180,1492,1867)(1182,1494,1870)(1183,1495,1871)(1186,1497,1874)
(1188,1499,1877)(1191,1502,1881)(1195,1507,1886)(1196,1217,1534)
(1200,1512,1892)(1202,1515,1896)(1205,1519,1900)(1206,1520,1902)
(1208,1522,1905)(1212,1528,1912)(1213,1529,1913)(1223,1540,1923)
(1224,1541,1925)(1227,1545,1928)(1228,1546,1381)(1231,1550,1934)
(1233,1552,1937)(1237,1558,1942)(1238,1559,1944)(1240,1561,1947)
(1243,1565,1952)(1247,1571,1958)(1248,1572,1960)(1254,1580,1969)
(1256,1582,1972)(1257,1583,1974)(1264,1593,1983)(1265,1594,1985)
(1268,1598,1989)(1269,1599,1990)(1270,1600,1992)(1272,1416,1776)
(1275,1606,1999)(1277,1609,2003)(1280,1613,1957)(1283,1614,2009)
(1285,1616,2012)(1289,1622,2019)(1291,1625,2023)(1292,1626,2025)
(1298,1633,2032)(1299,1634,2034)(1300,1635,2036)(1304,1641,2043)
(1306,1643,2046)(1308,1645,2049)(1313,1653,2058)(1314,1654,2060)
(1318,1660,2066)(1320,1663,2070)(1321,1664,2072)(1323,1666,2039)
(1324,1667,2076)(1325,1668,2078)(1330,1675,2085)(1334,1680,2091)
(1336,1683,2095)(1337,1684,2097)(1341,1637,2038)(1342,1687,2101)
(1345,1690,2105)(1346,1691,2107)(1348,1647,2051)(1352,1698,2115)
(1353,1699,2117)(1356,1702,2121)(1360,1708,2128)(1363,1713,2134)
(1366,1716,2138)(1374,1724,2147)(1377,1728,2152)(1380,1730,2155)
(1383,1732,2158)(1387,1738,2165)(1388,1739,2167)(1390,1742,2171)
(1394,1748,2178)(1395,1749,2180)(1397,1751,2182)(1402,1759,2189)
(1404,1762,2192)(1405,1763,2194)(1408,1766,2198)(1410,1769,2202)
(1411,1770,2204)(1414,1774,2207)(1419,1780,2213)(1420,1781,2215)
(1423,1784,2218)(1424,1785,2220)(1425,1786,2222)(1428,1790,2227)
(1429,1791,2229)(1431,1793,2231)(1435,1799,2237)(1436,1800,2239)
(1438,1802,2242)(1441,1806,2247)(1445,1812,2254)(1446,1813,2256)
(1448,1815,2259)(1452,1821,2265)(1453,1822,2267)(1456,1826,2271)
(1457,1827,2272)(1458,1828,2274)(1460,1830,2277)(1463,1835,2282)
(1466,1839,2287)(1471,1844,2293)(1473,1846,2295)(1476,1849,2298)
(1479,1852,2301)(1488,1863,2311)(1489,1864,2313)(1490,1865,2315)
(1493,1868,2319)(1496,1872,2324)(1498,1875,2328)(1500,1878,2332)
(1503,1882,2337)(1504,1883,2339)(1506,1750,2181)(1508,1887,1991)
(1510,1889,2346)(1513,1893,2351)(1516,1897,2355)(1521,1903,2361)
(1523,1906,2363)(1524,1907,2365)(1526,1909,2368)(1530,1914,2373)
(1531,1915,1672)(1533,1916,2376)(1535,1918,2379)(1536,1919,2381)
(1537,1920,2383)(1542,1926,2389)(1547,1930,2394)(1548,1931,2396)
(1551,1935,1775)(1554,1938,2403)(1556,1939,2405)(1560,1945,2191)
(1562,1948,2414)(1563,1949,2416)(1566,1953,2420)(1567,1940,1910)
(1569,1955,2423)(1573,1961,2429)(1574,1962,2430)(1576,1964,2433)
(1578,1966,2435)(1581,1970,2439)(1584,1975,2444)(1585,1976,2445)
(1588,1979,2448)(1589,1980,2450)(1591,1982,2453)(1595,1986,2457)
(1596,1847,2296)(1601,1993,2463)(1602,1994,2465)(1604,1996,2468)
(1607,2000,2472)(1610,2004,2477)(1611,2005,2479)(1615,2010,2485)
(1617,2013,2489)(1618,2014,2491)(1620,2016,2494)(1623,2020,2499)
(1627,2026,2506)(1628,2027,2508)(1629,2028,2510)(1631,2029,2512)
(1636,2037,2521)(1639,2040,2524)(1642,2044,2529)(1644,2047,2533)
(1646,2050,2537)(1649,2053,2422)(1651,2055,2543)(1655,2061,2550)
(1656,2062,2551)(1658,1714,2135)(1661,2067,2556)(1665,2073,2561)
(1669,2079,2567)(1670,2080,2238)(1673,2082,2571)(1676,2086,2576)
(1678,2088,2511)(1681,2092,2583)(1685,2098,2589)(1688,2102,2591)
(1692,2108,2597)(1693,2109,2599)(1694,2110,2330)(1696,2112,2602)
(1700,2118,2609)(1703,2122,2614)(1704,2123,2616)(1706,2125,2619)
(1709,2129,2624)(1711,2131,2094)(1717,2139,2634)(1718,2140,2635)
(1720,2142,2638)(1721,2143,2640)(1722,2144,2641)(1725,2148,1782)
(1726,2149,2647)(1729,2153,2652)(1731,2156,2656)(1733,2159,2659)
(1734,2160,1998)(1736,2162,2663)(1740,2168,2670)(1743,2172,2674)
(1744,2173,2676)(1746,2175,2679)(1752,1965,2434)(1753,2183,2686)
(1755,2185,2689)(1757,2186,2691)(1760,2190,2695)(1764,2195,2700)
(1765,2196,2701)(1767,2199,2705)(1771,1946,2411)(1772,2205,2711)
(1777,2209,2715)(1778,2210,2717)(1787,2223,2730)(1788,2224,2732)
(1792,1899,1988)(1794,2232,2740)(1795,2233,1984)(1797,2234,2743)
(1801,2240,2749)(1803,2243,2752)(1804,2244,2754)(1807,2248,2263)
(1808,2249,2528)(1810,2251,2762)(1814,2257,2768)(1816,2260,2585)
(1817,2261,2772)(1819,2262,2773)(1823,2268,2778)(1824,2269,2780)
(1829,2275,2786)(1831,2278,2790)(1833,2280,2793)(1836,2283,2797)
(1837,2284,2799)(1840,2288,2803)(1842,2290,2806)(1845,2294,2811)
(1848,2297,2815)(1850,2299,2818)(1853,2302,2822)(1854,2303,2823)
(1856,2304,2825)(1858,2305,2826)(1860,2307,2828)(1861,2308,2830)
(1866,2316,2839)(1869,2320,2844)(1873,2325,2336)(1876,2329,2852)
(1879,2333,2856)(1880,2334,2100)(1884,2340,1951)(1885,2341,2488)
(1888,2344,2179)(1890,2347,2868)(1891,2348,2870)(1894,2352,2875)
(1895,2353,2877)(1898,2356,2881)(1901,2358,2884)(1904,2362,2889)
(1908,2366,2893)(1911,2369,2897)(1917,2377,2904)(1921,1968,2436)
(1922,2384,2910)(1924,2386,2913)(1927,2390,2917)(1929,2392,2919)
(1932,2397,2925)(1933,2398,2927)(1936,2401,2342)(1941,2406,2935)
(1943,2408,2938)(1950,2417,2948)(1954,2421,2952)(1956,2424,2954)
(1959,2426,2956)(1963,2431,2960)(1967,2419,2950)(1971,2440,2970)
(1973,2441,1977)(1978,2446,2977)(1981,2451,2983)(1987,2458,2990)
(1995,2466,2997)(1997,2469,3000)(2001,2473,3005)(2002,2474,3007)
(2006,2480,3013)(2007,2481,3014)(2008,2482,3016)(2011,2486,3020)
(2015,2492,3025)(2017,2495,3027)(2018,2496,3029)(2021,2500,3033)
(2022,2501,3035)(2024,2503,3037)(2030,2513,3045)(2031,2514,3047)
(2033,2516,3050)(2035,2518,3053)(2041,2525,3061)(2042,2526,3063)
(2045,2530,2099)(2048,2534,3070)(2052,2539,2847)(2054,2541,3076)
(2056,2544,3080)(2057,2545,3082)(2059,2547,3085)(2063,2552,3089)
(2064,2093,2584)(2065,2553,2629)(2068,2557,3094)(2069,2558,3096)
(2071,2560,3099)(2074,2562,2802)(2075,2563,3102)(2077,2565,3104)
(2081,2569,3109)(2083,2572,3113)(2084,2573,3115)(2087,2577,3119)
(2089,2579,3121)(2090,2580,3123)(2096,2586,3129)(2103,2592,3136)
(2104,2593,3138)(2106,2595,3141)(2111,2600,3147)(2113,2603,3151)
(2114,2604,3153)(2116,2606,2888)(2119,2610,3135)(2120,2611,3161)
(2124,2617,3168)(2126,2620,3172)(2127,2621,3174)(2130,2625,3178)
(2132,2627,3180)(2133,2628,3182)(2136,2630,3184)(2137,2631,3186)
(2141,2636,3192)(2145,2642,3198)(2146,2643,3200)(2150,2648,3206)
(2151,2649,3127)(2154,2653,3211)(2157,2657,3216)(2161,2661,2464)
(2163,2664,3222)(2164,2665,2327)(2166,2667,3226)(2169,2497,3030)
(2170,2671,3231)(2174,2677,3237)(2176,2680,3241)(2177,2681,3243)
(2184,2687,3249)(2187,2692,3255)(2188,2693,3257)(2193,2697,3262)
(2197,2702,3268)(2200,2706,3273)(2201,2357,2882)(2203,2708,3276)
(2206,2712,3281)(2208,2714,3284)(2211,2718,3288)(2212,2719,3290)
(2214,2721,3293)(2216,2723,3295)(2217,2724,3297)(2219,2623,3175)
(2221,2727,3301)(2225,2733,3307)(2226,2734,3309)(2228,2736,3312)
(2230,2737,3314)(2235,2744,3321)(2236,2745,2574)(2241,2750,3327)
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(4783,5282,5662)(4785,5284,5665)(4792,5148,5568)(4795,5291,5670)
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(4837,5332,5705)(4840,5335,5708)(4841,5336,5525)(4848,4923,5402)
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(4863,5350,5101)(4866,5354,5719)(4877,5362,5725)(4883,5366,5393)
(4886,5368,4917)(4888,5370,5730)(4890,5373,5419)(4895,5375,5263)
(4898,5377,5371)(4900,5378,5720)(4901,5379,5736)(4902,5380,5738)
(4908,5386,5256)(4919,5397,5747)(4920,5398,5749)(4927,5408,5755)
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(4942,5260,5646)(4944,5420,5753)(4946,5421,5767)(4947,5422,5769)
(4950,5188,5601)(4957,5431,5776)(4958,5032,5489)(4963,5436,5779)
(4970,5440,5783)(4973,5442,5786)(4976,5444,5562)(4981,5447,5790)
(4986,5450,5792)(4987,5451,5252)(4994,5456,5031)(4996,5458,5795)
(4998,5459,5190)(5003,5463,5799)(5010,5469,5706)(5014,5473,5805)
(5015,5474,5548)(5017,5477,5114)(5018,5478,5298)(5037,5492,5817)
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(5593,5894,6072)(5595,5897,6073)(5597,5899,5685)(5599,5901,6055)
(5603,5702,5697)(5606,5906,6078)(5609,5908,6012)(5610,5771,6008)
(5615,5757,5999)(5616,5911,6079)(5620,5915,6082)(5621,5916,6063)
(5622,5917,6083)(5627,5920,6086)(5638,5811,5923)(5643,5892,6028)
(5661,5935,5907)(5664,5937,5825)(5671,5943,5975)(5672,5944,6095)
(5674,5946,6025)(5677,5688,5704)(5678,5948,6077)(5691,5956,6045)
(5700,5965,5806)(5707,5968,6105)(5710,5970,5716)(5713,5973,6107)
(5715,5974,5986)(5723,5774,6011)(5724,5978,5980)(5731,5745,5993)
(5732,5982,5756)(5734,5983,5813)(5735,5984,6097)(5737,5985,5938)
(5739,5780,6013)(5748,5995,6117)(5763,6003,6120)(5765,6004,5826)
(5766,5801,5996)(5768,5918,6017)(5782,6016,6125)(5787,6019,6127)
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(6071,6087,6143)(6109,6110,6150)(6113,6149,6156)],
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1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,1,1,8,-1,9,
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1],[8,1,1,1],[8,1,10,-1,9,1,10,1,9,-1,8,-2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,1,1,1,8,-1,9,1,8,1]],[[1,
1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,
1],[10,1,9,-1,10,2,8,-2,9,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,
1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[11,1,12,1,11,-1,
5,1],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,2,11,
1],[14,1,13,-1,14,1,13,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,1,1,1,8,-1,9,2]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-1,10,1,9,
-1,8,-2,10,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,-2,5,1,11,-2]]],[[[1,1,2,1],[3,1,
2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-2,1,1,8,-1]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2],[9,1,1,1,8,-2,
1,1,9,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-2,4,1,6,
2]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-2,4,1,6,2],[4,1,6,
1],[8,1,6,1,8,1],[8,4],[10,-1,9,3,10,1],[11,1,7,1],[12,1,11,-1,7,1,12,1,11,
-1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,
6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[7,1,10,-1,11,1,7,1,10,-1,11,2]]],[[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,
1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[
1,1,8,1],[9,1,1,1,9,-1,8,1,1,1,8,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,1,1,8,-1,9,
-2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,
1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[8,1,9,1],[10,1,9,1,10,1,9,1]]],[[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,1,9,2]],[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,
1,1,1,8,-1,9,2,8,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,
6,1,7,1],[1,1,8,1],[9,4,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,1,9,2,10,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,1,6,1,10,-3,6,1,10,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,8,-1,9,-3,8,
-1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,2],[7,2],[8,
-1,6,1,8,1],[9,1,6,-1,4,1,6,1,9,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,
-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[7,1,10,
-1],[12,2,11,1,12,1,11,1,7,1,10,1,7,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,
5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-2,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,
4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,-2,9,1,10,2,8,-1,
9,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[11,1,12,-1,11,-1,5,1,11,1,12,2]]],[[[1,
1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,
-1,9,1,10,1],[11,1,5,1],[11,-2,5,1,11,1,12,1,11,1,12,2]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-1,1,1,8,-2,1,1,8,
-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[8,-2],[9,1,8,1,1,1,9,1,1,1,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,1,9,2],[10,1,11,1,10,1,
11,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[9,2,8,1,10,2,9,-1,10,1,8,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,2,9,-1,8,-2,9,1,10,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[
8,1,1,1],[8,-2,9,1,10,3,9,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,1],[10,1,9,1,1,1,8,-1,9,1,10,1]],[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,
2,10,-1,1,1,8,-1,9,1,10,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[
7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,2,8,1,10,-1,1,1,8,-1,9,1,1,1,10,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,-3,11,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,2,11,2,6,1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,1,10,-2,6,1,10,-1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[8,1,9,2,8,1,
1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[10,2,9,-1,8,-2,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,1,10,2,11,1,6,1,10,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,
4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,
1],[11,1,12,1,11,1,5,1,11,-1,12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,
1],[12,2,13,1,11,1,13,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,
1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,
6,1],[10,1,11,1,10,1,11,-1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[10,1,6,1,10,-1,11,-2,10,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1,10,-3,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,
1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,2,6,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,
1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,10,2,6,1,10,-2,11,1]]],[[[1,1,2,1],[3,
1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,1,1,1,8,-1,
9,1,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[8,1,1,1],[8,1,9,2,10,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-1,10,2,8,-2,9,1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,1,1,1,
9,-2,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,
1,8,1],[8,1,1,1],[10,1,9,-1,8,-1,9,2,10,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,1,10,-3,9,1,10,-1]]],[[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,
-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,1],[8,1,1,1],[9,2,8,1,10,2,9,-1,10,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,1,10,1,9,-1,10,
1,9,-1,10,1,8,-1,10,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-1,8,-2,9,1,10,
-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[10,1,8,-2,9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,
2,7,-2],[9,3],[10,1,6,1,10,-3,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,2,6,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1],[10,1,11,1,12,-1,11,1,12,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,-1,11,1,10,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1],[10,1,11,1,
12,-1,11,1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,
1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,1,1,8,-1,9,2,8,1]]],[[[1,1,2,1],[3,1,
2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,1,8,1,1,
1,8,1,9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,
1,8,1],[8,1,1,1],[10,1,9,-2,10,1,8,-2,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,
2,7,-2],[9,3],[6,1,10,1],[11,1,10,1,11,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,
1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,2,11,2,6,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,2,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1,10,-1,11,-3]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,
3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,
6,1,10,1,6,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,
6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[10,1,7,1],[7,1,10,-1,7,1,10,-1,11,-2]],[[
1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,
2],[9,-1,6,1,9,1],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,12,
-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[10,1,9,-1,8,-2,9,1,10,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,
5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,2,10,-1,9,-1,8,-2,10,
-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[8,1,1,1,8,-2,9,2,1,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,1,8,1,1,1,8,1,9,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[
8,1,1,1],[10,1,8,-2,9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1],[6,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,1,6,1],[10,1,11,2,10,-1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,1],[6,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,10,1,11,2,10,1,6,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[11,1,10,-3,11,-1,6,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[6,1,10,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,1,6,1,
10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,
1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,
-1,2,-1],[11,-3,6,-1,11,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,
2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,-2],[12,1,5,1,11,-2,5,1,
12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,1],[13,1,12,1,11,1,5,1,13,
-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,1,13,1,11,-2,12,1,13,1]]],[[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[5,1,11,-1,5,1,11,1,5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,
1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,-2,
5,1,11,-1,12,2,11,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,
1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[13,2,12,-1,13,
1,12,-1,11,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[13,2,12,-1,11,1,13,
-1,12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,
8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,1,11,1,12,1,13,-2,12,
-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[5,1,11,-1,12,2,11,1]],[[1,1,2,1],[3,3],[
4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
5,1,11,1],[11,1,5,1],[13,1,12,1,11,1,12,1,13,1,11,-2,12,1]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[11,1,12,1],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[
12,1,5,1,11,-1,5,1,11,-1,12,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1]],[[1,1,2,
1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,
9,1,10,1],[5,1,11,-2,5,1,11,-2]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[
6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[5,1,11,-1,5,1,
11,1,12,2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[13,1,12,-1,11,-2,12,1,13,
-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,2,11,1,5,1]]],[[[1,1,2,1],[3,3,
2,1],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,2,8,2],[9,6],[10,-1,8,1,
10,1],[5,1,11,1,5,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,
-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,
2,10,1,8,1,7,-1,2,-1],[6,-1],[6,1,11,1],[13,1,11,1,12,-1,13,-1,11,-1,12,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[11,
1,6,1],[11,1,12,-1,6,1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,8,1,1,1,8,-1,9,1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,1,1,8,-1,9,-1,8,-1,9,
-1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,
6,2],[8,2],[9,-1,6,1,9,1],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[
3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,
1,9,1],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,10,1,12,-1,11,1]]],[[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,8,
-2,9,3]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[8,1,1,1],[9,1,10,-2,1,1,8,-1,9,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,
2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[10,-1,7,1,10,
1,7,1,10,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,
1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[10,1,7,1],[11,1,12,-2,7,1,11,-1,
10,1,7,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[
1,1,8,1],[9,1,1,1,8,-1,9,-2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,-2,1,1,8,1,1,1,8,-1,1,1,8,-1]]],[[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,2,8,1]],[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,
1,8,1,9,2,10,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[1,1,8,1],[8,1,1,1,9,-2,8,1,9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,1,8,1,1,1,8,-2,9,1]]],[[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,
8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1,9,-2,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,
1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,
6,1],[6,1,10,2,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[
10,1,6,1],[10,1,11,-1,6,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,2,6,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1],[11,2,12,1,10,1,12,-1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,1,11,1],[11,
1,12,1,6,1,12,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,
4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,
7,-1,2,-1],[6,1,11,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,
2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,
2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[10,1,7,1],[
11,1,7,1,12,1,11,-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,
12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,
-3,11,1,12,2]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,
1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1],[12,1,13,1,11,1,12,1,13,
-1,12,-2]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[11,1,12,-1,11,-1,5,1,11,1,12,2]],[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[5,1,11,1],[5,1,11,-1,12,1,5,1,11,-1,12,1,5,1]]],[[[1,1,2,1],[
3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,
10,1],[11,1,5,1],[11,1,12,-1,11,-1,5,1,11,1,12,2]],[[1,1,2,1],[3,3],[4,-1,1,1,
4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,
1],[11,1,12,1,5,1,11,-1,5,1,11,-1,12,1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,
12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,
1],[12,1,11,1],[13,1,14,-1,13,1,12,1,14,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[
11,1,12,1],[13,1,12,1,13,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[11,1,12,-1,11,-1,5,
1,11,1,12,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[8,1,1,1,8,-1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,
6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,1,9,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,2]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,2,1,1,8,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,1,10,-1,6,1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,11,1],[12,
1,11,1,12,1,11,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,
4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[10,1,7,1],[10,1,12,1,10,1,
11,2,12,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,
1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,1,11,-1,
12,1,10,-1,12,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,
1,7,1],[1,1,8,1],[8,1,1,1,9,2,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,-2,8,1,9,1]]],[[[1,1,2,1],[3,3],[4,
-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
11,1,5,1],[11,1,12,1,11,-1,5,1],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,
11,1],[11,1,5,1],[12,2,11,1],[14,1,13,-1,14,1,13,-1]],[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,
11,1],[5,1,11,-1],[11,1,5,1,12,-2],[13,1,14,-1,13,1,14,-1]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[5,1,12,-1,11,1,5,1,11,1,12,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[
11,1,5,1],[11,1,13,1,12,-1,11,1,13,-1,12,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,
2,2],[5,-1,2,1,5,1],[4,1,6,2],[7,2],[8,-1,6,1,8,1],[9,-1,6,-1,4,1,6,1,9,1]],[[
1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,2],[7,2],[8,-1,6,1,8,
1],[9,1,6,-1,4,1,6,1,9,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,1,1,8,-1,9,-2]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,1],[9,1,10,2]]],[[[1,1,2,
1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,
-1,6,1,9,1],[10,-1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[
5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,1,10,1],[7,1,
10,-1],[12,2,11,1,12,1,11,1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,
7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,1,10,2,11,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[10,1,6,1],[10,1,11,1,10,1,11,-1,6,1,10,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1,10,-1,11,-2,10,2,6,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,6,1,10,-1,11,1,10,1,11,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,11,2,6,1,10,-1,11,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[8,-2],[9,1,8,1,1,1,9,1,1,1,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,-2,9,1,10,-3,9,-1]]],[[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2],[9,1,1,1,
8,-2,1,1,9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,1],[9,1,8,1,1,1,8,-1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,1],[10,1,9,1,8,1,1,1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1,10,-3,6,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,2,6,1,11,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-2,6,1,10,2,6,1,10,-2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,10,2,6,1,10,-2,11,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
-1,1,1,8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,1,1,8,-1,9,2,8,1]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,1,8,1,9,1,1,1,8,
-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,
9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,
10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,6,1,10,
-1,11,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,
1,10,-1,11,-2,10,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[
6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[
11,2,10,1,6,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[
10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,
-3,6,1,10,-1,6,1,10,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[
10,2,6,1,10,-2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,1],[11,2,10,1,6,1,10,-1,11,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,1,10,1,8,1,10,
-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,
9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[6,1,10,
-1,11,-1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,
6,1,10,-3,6,1,10,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,
6,1,7,1],[1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-2,10,1,8,-2,9,1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,8,-2,9,
1,10,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,
6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,1,10,
-2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[
10,1,11,1,6,1,10,-1,11,1,10,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,1,1,1],[8,1,9,2,8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[1,1,9,-1,10,2,9,
-2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[10,2,9,-1,8,-2,9,1,10,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,
5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,8,-2,9,2,1,1,10,1]],[[1,
1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,
1],[10,1,9,-2,8,-2,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1],[10,1,11,-1,6,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,
1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[10,1,6,1,10,-1,11,-2,10,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,
1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[6,1,10,-1,11,1,10,1,11,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,1,6,1,10,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[
1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1,6,1,10,1,6,1,10,-2]]],[[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,1,1,1,8,1,
1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[8,1,9,2,8,-2,1,1,8,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[
7,-1,6,1,7,1],[1,1,8,1],[9,4,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,8,-2,9,1,10,1,9,-1,10,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,10,1,11,2,6,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,
1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,11,2,6,1,
10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,
-1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[
11,2,10,2,6,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
1],[10,2,11,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-2,6,1,10,2,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,
1,10,-1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,
1,10,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,
1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,1,10,-2,6,
1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,
9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,
1,6,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[
11,1,10,1,11,2,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,
6,1],[10,1,11,-1,6,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,
3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,2,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
1],[10,1,6,1,10,-1,11,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,1],[11,1,6,1,10,-1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,
1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[
11,2,10,1,6,1,10,-1,11,-2]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,
1],[7,3,2,1],[8,2,6,1,8,-1,6,1,8,-1,6,1,8,1]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,
17],[5,4],[1,1,2,1],[7,3,2,1],[6,1,8,1,6,1,8,-1]],[[1,1,2,1],[3,3,2,1],[3,12,
4,17],[5,4],[1,1,2,1],[7,3,2,1],[6,1,8,1],[6,1,8,-1,9,2,6,1,8,-2]]],[[[1,1,2,
1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,1,4,1,6,1],[7,-1,4,1,7,1]],[[1,
1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,1,4,1,6,1],[7,-1,4,1,7,1],[
4,1,6,1],[9,1,6,1],[9,1,10,1],[10,5],[12,-1,11,3,12,1],[13,1,8,1,13,-1]]],[[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[11,1,5,1,11,-1,5,1,11,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[
1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[5,1,
11,-1,5,1,11,1,12,2]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[
6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[5,1,11,-1,5,1,11,1,12,
2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[11,1,12,1,13,2,12,-1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-2,1,1]],[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,
1,1,1,8,-1,1,1,9,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[
6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,-2],[12,1,11,1,5,1,12,1,5,1,11,
1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,1,11,1,12,1,13,-1,12,1,13,
-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[5,1,11,-1,12,2,11,1]],[[1,1,2,1],[3,3],[
4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
5,1,11,1],[11,-2,12,1,5,1,11,-1,12,1,11,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[
12,1,11,-1,5,1,12,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,1,13,
-4,12,-1]]],[[[1,1,2,1],[3,3,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[3,3,2,1],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,2,8,2],[9,6],[10,-1,8,1,10,1],[11,1,
5,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[
5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,
-1],[6,-1],[12,1,11,-1,12,-1,11,1,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,
-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,
-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,-1,11,2,6,1,11,2,6,-1]]],[[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,
1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[8,1,1,1],[9,1,10,-2,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-2,10,2]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-2,1,1]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,
1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,
-2],[9,1,8,1,1,1,9,1,1,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1],[11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
1],[10,1,6,1],[10,1,11,1,12,-1,11,1,6,1,12,1]]],[[[1,1,2,1],[1,1,2,-1],[2,
-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,
2,1,1,1,2,-1,8,1,1,1,9,1],[10,1,7,1],[11,1,10,-1,7,1],[12,1,11,1,12,1,11,
1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[
1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,7,1],[
10,1,12,-1,11,1,12,1,11,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,
1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[
9,3],[6,1,10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1,6,1,10,2]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,
2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,
1],[10,1,11,1],[12,1,11,1,12,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,
-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,
9,1],[10,-2],[11,1,7,1,10,-2,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,
1,10,-1,6,1,10,1,6,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[8,1,9,1],[10,1,1,1,8,-1,10,-1,9,-1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,9,-1,8,1,1,1,8,-2,
9,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[8,1,1,1],[8,-2,9,1,10,-1,9,1,10,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,
1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,1,9,2,8,1,1,1]],[[1,1,2,1],[3,1,
2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,-3,8,1,1,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[8,-2,9,-1,1,1,8,1,9,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[
7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,8,-2,9,2,10,1]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,1,8,1,1,1,8,-2,
9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1],[8,-2,1,1,8,1,9,-3,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1],[6,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,2,6,1,10,-1,6,1,10,-2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,1,1,1,8,-2,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,
1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,2]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,2,1,1,8,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[10,1,11,-1,6,1,10,1,11,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1],[10,1,11,1,
12,-1,11,1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[1,1,8,-1,1,1,8,1,1,1,8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,1,1,8,1,1,1,8,1,9,2]]],[[[1,1,2,1],[3,
1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,
1],[1,1,2,1],[12,2,11,1,12,2,11,1,12,-1]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,
12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,
1],[12,1,13,1],[14,1,13,1,14,1,13,1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,
5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,-3,
11,1,12,2]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,
1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1,12,1,11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,
1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1],[12,1,13,1,11,1,12,1,13,-1,12,
-2]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1,12,1,11,1,12,1]],[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[11,1,5,1],[11,1,12,1,13,-1,12,1,13,-1]]],[[[1,1,2,1],[3,1,2,
1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[
1,1,2,1],[12,1,11,1,12,1,11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[3,1,2,1],[4,2],[
5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[
11,1,12,1],[13,1,12,1,11,1,12,-1,13,-2,12,-1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[
5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[
12,1,11,1,12,1,11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,
5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,
1],[11,1,12,-1,13,2,11,1,12,-2]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,
3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,
1,9,1],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[
5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,
1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,-2,11,1,10,1,7,1,11,-1,10,1,7,1]]],[[[1,1,
2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,
-1,9,1,10,1],[5,1,11,1],[11,1,12,1],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[3,3],[
4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
11,1,5,1],[5,1,11,-1,5,1,11,1,12,2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[12,1,5,1,
11,-1,5,1,11,-1,12,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[
6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1,12,2,11,1]],[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[12,1,13,-1,12,1,5,1,13,1]],[[1,1,2,1],[
3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,
10,1],[5,1,11,1],[11,1,5,1],[12,1,11,1,12,1,13,-1,12,1,13,-1]]],[[[1,1,2,1],[
3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,
10,1],[5,1,11,-2,5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,
1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[12,1,5,1,11,1,5,1,11,1,12,
1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1],[11,1,13,1,12,-1,11,1,13,-1,12,
1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1,12,1,11,1,12,1]],[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[5,1,11,-1,12,2,11,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,2,
5,1,12,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1,12,1,11,1,12,3]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,2,5,2],[6,6],[7,-1,5,1,7,1],[8,3]],[[1,1,2,1],[3,3,
2,1],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,2,8,2],[9,6],[10,-1,8,1,
10,1],[5,1,11,1,5,1,11,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,-2,1,1,8,-1,1,1,8,-1,1,1,8,1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,3,8,1,1,1]]],[[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-2,1,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[
8,-1,1,1,9,-2]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-2,4,
1,6,2],[4,1,6,1],[8,1,6,1,8,1],[8,4],[10,-1,9,3,10,1],[11,-1,7,1,11,-1,7,1,11,
1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-2,4,1,6,2],[4,1,6,
1],[8,1,6,1,8,1],[8,4],[10,-1,9,3,10,1],[7,1,11,1],[12,2,11,1,7,1]]],[[[1,1,2,
1],[3,12]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,1],[7,2,
6,1],[7,1,8,2],[9,6],[10,1,4,1],[10,1,11,2,10,-2,4,1,10,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,1,11,1,6,-1,11,1,6,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[2,-1,6,1,4,-1,5,2,6,1,4,1,3,-1,2,
-1],[7,-4]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[
5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,
-1],[6,1,11,2,6,-1,11,-1,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,
-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,
2,10,1,8,1,7,-1,2,-1],[6,1,11,1,6,-1,11,1,6,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,
4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-1,1,1,8,-2,1,1,8,-1]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,1,1,
1,8,-1,9,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-1,8,-2,9,1,10,-1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-2,10,1,8,
-2,9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[8,1,1,1],[10,1,8,-2,9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,
7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,2,6,1,10,-2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[10,1,11,1,6,1,10,-1,11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,-1,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1],[10,1,6,1,10,-1,11,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,1,6,1,10,-2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,2,6,1,10,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,
6,1,10,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,
4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1],[
11,2,10,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[6,
1,10,-1,11,2,10,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,
1,7,1],[1,1,8,-1,1,1,8,1,1,1,8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,1,10,2,8,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1,10,2,6,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1],[11,2,6,1,10,1]]],[[[1,1,2,1],[3,1,
2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,
-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[1,1,8,-1,9,1,8,1,1,1,8,1,9,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[10,1,9,-1,8,-2,9,1,10,-1]]],[[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-2,1,1]],[[1,
1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,
-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[
1,1,8,1],[8,1,1,1],[10,1,8,-2,9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,-2,9,-2]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,-2,8,
1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,
1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[10,1,6,1],[11,2,10,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,
7,-2],[9,3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1,6,1,10,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,
1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[
9,3],[10,1,6,1,10,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1],[10,1,6,1,11,-1,10,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,
2,7,-2],[9,3],[6,1,10,2,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,
3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1],[6,1,10,-1,11,-1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,-1,6,1,10,-3,6,1,10,-1]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,
17],[5,4]],[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[8,2,6,
1,8,-1,6,1,8,-1,6,1,8,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,
1],[4,1,6,1],[7,2,6,1],[7,1,8,2],[9,6],[4,1,10,1],[11,1,10,1,11,1,10,1,4,
1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,1],[7,2,6,1],[7,
1,8,2],[9,6],[4,1,10,1],[10,1,4,1],[10,1,12,-1,11,2,12,-1]]],[[[1,1,2,1],[3,3,
2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[8,1,6,1,8,-1,6,1,8,1]],[[1,1,2,
1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[8,2],[9,2,6,1,8,1]]],[[[1,
1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,
-1,9,1,10,1],[11,1,5,1,11,-1,5,1,11,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,
2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,-1,5,1,11,1,
5,1,11,1,5,1]]],[[[1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[8,-2,1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,1,1,1,8,1,1,1,8,-1,1,1,8,-1]]],[[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,
5,1,11,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[5,1,11,-1,5,1,11,1,12,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,11,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,2,6,1,10,1,6,1,10,-2]]],[[[1,1,2,1],[3,3],[4,
-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
11,1,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[12,1,11,1,12,1,5,1,12,
-1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,
6,2],[8,2],[9,-1,6,1,9,1],[10,-1,7,1,10,1,7,1,10,-1]],[[1,1,2,1],[3,12],[1,1,
2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[7,
1,10,1],[10,1,11,2,7,1,10,-1,11,1,7,1,10,1,7,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,
4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,8,1,1,1,9,-1,8,-2]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,
9,3,8,1,1,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1,11,-2,5,1,11,1]],[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[11,1,5,1],[12,2,11,-1,5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,
1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,1,8,1,9,1]],[[1,1,2,1],[3,
1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,-2,8,1,
9,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[9,2,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[8,1,1,1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[9,1,10,-1,9,2,10,1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-2,1,1]],[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,
-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,1],[8,1,1,1,9,-2,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,-1,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1],[10,2,11,2,10,-1,6,1,10,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,
1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,
2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1]],[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,
2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,
11,-1,12,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,
1],[6,17]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[
6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,
7,1],[10,1,12,-1,11,1,12,1,11,-1,12,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,
1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,
-1,8,1,1,1,9,1],[10,-2,7,1,10,-2,7,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,
2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,
8,1,1,1,9,1],[7,1,10,1],[7,1,10,-1,11,1,10,1,7,1,10,-2,11,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,
1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[10,1,11,1,6,1,10,-1,11,2,10,1]]],[[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,
2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[11,1,10,1,11,1]],[[1,1,2,1],[1,1,
2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[
8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,11,1,7,1,10,-1,11,2,10,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,
1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,1],[8,1,9,1],[10,1,9,2,10,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,
5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,2,1,1,8,-1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[8,1,9,1,8,1,9,-1,1,1,
8,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,
17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[11,1,7,
1,10,-1,11,-2]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,
3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,
1],[10,1,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,
-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,
1,1,1,9,1],[7,1,10,1],[11,2],[12,1,7,1,10,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,
1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,1,6,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,
2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,6,1],[10,1,11,1,12,-1,11,1,12,
1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,
17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,7,
1],[10,1,11,2,12,2]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,
4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,
10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,11,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[6,1,10,-1,11,-1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,
1,1,8,2,7,-2],[9,3],[10,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,1,6,1,10,-1,11,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,-2,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1],[11,1,6,1,10,-1,11,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,1,1,1,8,1,9,1]],[[1,1,2,1],[3,
1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[8,-2,9,-1,1,1,8,1,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,
9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,2,
8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
1],[9,1,1,1,8,1,1,1,8,-2,9,1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[
3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1,12,-1,
11,1,12,1]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,
1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1,12,1,11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,
1,9,1],[8,2,10,2,9,1],[1,1,2,1],[12,1,11,1],[11,1,12,2,13,-1,12,-2,13,
-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[11,-2,5,1,11,1,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,
11,1],[12,1,5,1,11,1,5,1,11,-1,12,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,
2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,
2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[11,1,5,1],[5,1,11,-1,5,1,11,1,12,2]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[11,1,5,1,12,2,11,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1,11,1,5,1,11,
-1,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[
6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[5,1,11,-1,12,2,5,1,11,-1]]],[[[1,
1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,
-1,9,1,10,1],[5,1,11,-2,5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,
2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,2,5,1,12,
-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[11,1,5,1],[12,1,11,-1,5,1,12,1,11,-1]]],[[[1,1,2,1],[3,
3,2,1],[4,-1,1,1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,2,5,2],[6,6],[7,-1,5,
1,7,1],[8,3]]],[[[1,1,2,1],[3,12]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,
2,1,5,1],[4,1,6,1],[7,2,6,1],[7,1,8,2],[9,6],[10,1,4,1],[10,-2,11,-1,4,1,10,1,
11,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[9,2,1,1,8,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1],[1,1,8,1],[8,1,1,1],[8,1,10,-1,9,1,10,-1,9,1,10,-1]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,-2]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,1,1,1,8,
-1,9,1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,
1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,1],[12,1,13,2]],[[1,1,2,1],[3,
1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,
1],[1,1,2,1],[12,1,11,1],[13,1,12,-1,11,1,13,1,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,
7,-2],[9,3],[6,1,10,-1,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,
3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1],[11,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
2,6,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1,10,2,6,1,
10,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,
1,1,1,8,1,1,1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,8,1,1,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,
1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[
9,3],[10,1,6,1],[6,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,
3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1,10,2,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[6,1,10,-1,6,1,10,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,
4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,
1,10,-2,6,1,10,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,
4,2,3,1],[6,17]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,
3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,
1],[10,-2,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,
1,10,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,1,4,1,6,1],[
7,-1,4,1,7,1],[4,1,6,1],[9,1,6,1],[9,1,10,1],[10,5],[12,-1,11,3,12,1],[13,1,8,
1,13,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,1,4,1,6,1],[7,
-1,4,1,7,1],[4,1,6,1],[9,1,6,1],[9,1,10,1],[10,5],[12,-1,11,3,12,1],[8,1,13,
1],[8,1,13,-1,14,1,8,1,13,1,8,1,14,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,
3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,
10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,1,11,-1,6,1,11,-2,6,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,-1,11,1,6,-1,11,-1,6,1,
11,-1]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[8,2,6,1,
8,-1,6,1,8,-1,6,1,8,1]],[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,
2,1],[6,1,8,1],[8,1,9,2,6,1,8,-2,9,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,
5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,2]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[11,1,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,
7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,-1,5,1,11,-1,5,1,11,1]]],[[[1,1,2,
1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,
10,2,9,1],[1,1,2,1],[11,1,12,1],[13,2,11,1,12,1]],[[1,1,2,1],[3,1,2,1],[4,2],[
5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[
12,1,11,1,12,-2,11,1,12,-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,3,8,1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[
5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,
1,2,-1,8,1,1,1,9,1],[10,1,7,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,
-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,
9,1],[10,1,7,1],[10,-2,7,1,10,1],[12,1,11,2,12,1]]],[[[1,1,2,1],[3,3],[4,-1,1,
1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,
1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,
8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1,11,-2,5,1,11,1]],[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,
11,1],[5,1,11,-1,12,2,11,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,
2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1,11,-2,5,1,11,1]],[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[5,1,11,1],[11,1,12,1],[13,1,12,1,13,1,12,1]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[11,1,5,1,12,2,11,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,
1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[11,1,12,
-1,11,-1,5,1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,2,5,2],[6,6],[7,-1,5,
1,7,1]],[[1,1,2,1],[3,3,2,1],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
2,8,2],[9,6],[10,-1,8,1,10,1],[5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-1,1,1,8,-2]],[[1,1,2,1],[3,1,2,1],[3,1,
4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,-2,1,1]]],[[[1,1,2,1],[3,
1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,2]],[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-2,1,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
-1],[9,2,1,1,8,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,
1,7,1],[8,1,1,1,8,-1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[8,1,1,1],[1,1,8,-1,1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1],[8,-2,9,1,10,-3,9,-1]]],[[[
1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-1,1,
1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,1],[9,1,8,1,1,1,8,-1,1,1,9,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,
-1,3,-2,4,-1,5,1,4,2,3,1],[6,17]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,
3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,
1,9,1],[10,1,7,1,10,-1,7,1,10,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,
-1,3,-2,4,-1,5,1,4,2,3,1],[6,17]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,
3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,
1,9,1],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[
5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,
1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,11,-1,12,
1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,
1,8,-1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[1,1,8,-1,1,1,8,-1,1,1,8,1,1,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,1,1,9,-2,8,-1]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,2,8,-2,1,1]]],[[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,1,1,1,
8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,
1,1],[1,1,8,-2,9,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,
-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,
2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,1,10,1,6,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[
2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[10,1,11,1,6,1,10,-1,11,
1,10,2]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[
6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[10,-2,7,1]],[[1,
1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,
1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,11,1,10,1,7,
1,10,-2,11,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,
3,1],[6,17]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,
1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[
10,1,11,1],[12,2,11,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,
5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[
10,1,7,1],[11,1,10,-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[1,1,2,-1],[2,
-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,
2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,-2,7,1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,
1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,
-1,8,1,1,1,9,1],[7,1,10,1],[11,2,10,1,7,1,10,-2,11,1]]],[[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,
2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,-2]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,
1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,
2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,-1,6,1,10,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-3,6,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,10,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,
4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,
-1,5,1,11,1,5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,5,1],[12,2,11,-2]]],[[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[5,1,11,1],[11,1,12,2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,-2,5,1,11,1,5,1,11,-1]]],[[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[11,-2,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[
6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,12,1],[
13,1,12,1,13,1,12,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,
6,1,7,1],[8,1,1,1],[1,1,8,1,9,2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,1,9,2,1,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,
2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[6,-1],[12,1,11,-1,12,-1,11,1,6,1,
11,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8],[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[7,2],[2,-1,10,1,8,-1,9,2,10,1,8,1,7,-1,2,-1],[
6,1,11,1],[12,1,6,-1,12,-1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,
2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,-2,5,1,11,-2]],[[1,1,
2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,
-1,9,1,10,1],[11,1,5,1,11,-2,5,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
1,1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,
-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-1,6,
1,10,1,6,1]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[6,
1,8,-2,6,1,8,3]],[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4],[1,1,2,1],[7,3,2,1],[
8,2,6,1,8,-1,6,1,8,-1,6,1,8,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[8,1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,1,1,1,8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[9,1,8,1,9,1,8,1,1,1]]],[[[1,
1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,
2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[
8,1,9,1],[9,1,10,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,
6,1,7,1],[1,1,8,-2,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
12],[7,-1,6,1,7,1],[1,1,8,1],[8,-2,9,2]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,
1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,
-1,8,1,1,1,9,1],[7,1,10,-1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,
4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,
1],[7,1,10,1],[11,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,
2],[4,12],[7,-1,6,1,7,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,
-1,6,1,7,1],[1,1,8,1],[9,1,8,1,9,1,8,1,1,1,9,-2]]],[[[1,1,2,1],[3,3],[4,-1,1,
1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,
-2,5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[5,1,11,1],[11,1,5,1,12,2,11,1]],[[1,1,2,1],[3,3],[
4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
5,1,11,-1,5,1,11,-2,5,1,11,-1]]],[[[1,1,2,1],[3,3,2,1],[4,-1,1,1,4,1]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,2,5,2],[6,6],[7,-1,5,1,7,1]]],[[[1,1,2,1],[3,12],[
1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,
1],[7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[
6,-1,4,1,6,1],[4,1,6,2],[8,2],[9,-1,6,1,9,1],[10,-1,7,1,10,-1,7,1]]],[[[1,
1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-1,1,1,
8,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,
1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,2,6,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,
7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1],[11,2,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[6,1,10,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,
-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,
3],[10,1,6,1,10,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,
2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[
1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1,10,2]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,
-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1,6,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[
3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,1],[1,1,8,-1,9,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,
1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,
1,8,2,7,-2],[9,3],[6,1,10,1,6,1,10,1]]],[[[1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-1,1,1,8,-1]]],[[[1,1,2,1],[1,
1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17]],[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,
2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[10,1,7,1,10,-1,7,1,10,1]],[[1,1,2,1],[1,1,2,
-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,
2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1]]],[[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[11,1,5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[
6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,-1,5,1,11,-1,5,1,11,
1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[
7,3],[10,-1,9,1,10,1],[5,1,11,-1,5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,
1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,
1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-1,1,1,8,-2,1,1]]],[[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,3],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,
1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,-2,
5,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,
2],[7,3],[10,-1,9,1,10,1],[11,1,5,1,11,-2,5,1,11,1]]],[[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,
5,1,11,-1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,
1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1,5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-1,1,1]],[[1,1,2,1],[
3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-1,1,1,8,
-1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,
1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[
1,1,8,1],[9,4,8,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,
1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[7,1,
10,-1]],[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,
17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,2,-1,8,1,1,1,9,1],[10,-1,7,1,10,-1,7,
1,10,1]]],[[[1,1,2,1],[3,3]],[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,
8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[1,1,2,1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,1]],[[1,
1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,2],[7,2],[8,-1,6,1,8,
1],[9,-1,6,-1,4,1,6,1,9,-1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,
8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[11,1,1,1,2,1]],[[1,1,2,1],[3,
1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,
1],[1,1,2,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,
1,1,3,-1,4,1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,
-2],[9,3],[10,-1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,10,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-3]]],[[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,1,2,1],[3,
1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,-2,1,1]],[[1,1,2,1],[3,1,2,1],[
3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[9,1,8,-1,1,1,9,1]]],[[[1,
1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1]],[[1,1,2,1],[3,1,2,
1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1],[1,1,8,1,9,2]]],[[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,3],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,
3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,
1],[11,-1,5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,3],[7,
-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,
7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1,5,1]]],[[[1,1,2,1],[3,3],[4,
-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[
11,1,5,1,11,1]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,
1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,-2,5,1]]],[[[1,1,2,1],[3,-2]],[[1,
1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,
2,10,2,9,1],[1,1,2,1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,1,1,4,2,3,-2],[5,3]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,
1,2,-1,4,-1],[5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[6,1,
10,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[
5,9],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,1,1,1,8,2,7,-2],[9,3],[10,1,6,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-2],[5,3],[6,-2]]],[[[1,1]],[[1,1,2,
1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,1,1,1,8,-1]],[[1,1,
2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[8,-2,1,1,8,-1,1,1,8,
-1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[
8,1,9,1],[8,2,10,2,9,1]],[[1,1,2,1],[3,3]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,
1,1,1,2,-1,3,-2,4,-1,5,1,4,2,3,1],[6,17],[1,1,2,1],[2,1,1,1],[8,2,9,1,2,1,1,1,
2,-1,8,1,1,1,9,1],[7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,-1,3,1,
1,1,4,1],[5,-2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,
7,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,8,
-2,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[1,1,
8,-1,1,1,8,1,1,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1]],[[1,1,2,1],[3,3],[4,-1,
1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[11,1,
5,1,11,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,3],[7,-1,6,1,7,1]],[[
1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,1],[6,1,7,1],[6,1,8,2],[7,3],[
10,-1,9,1,10,1],[5,1,11,1,5,1]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,
3],[7,-1,6,1,7,1],[8,-2]],[[1,1,2,1],[3,3],[4,-1,1,1,4,1],[1,1,2,1],[6,1,2,
1],[6,1,7,1],[6,1,8,2],[7,3],[10,-1,9,1,10,1],[5,1,11,1]]],[[[1,1,2,1]],[[1,1,
2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,
10,2,9,1],[11,1,2,-1,1,-1,11,1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,
1],[3,8],[6,1,7,1],[8,1,7,1],[8,1,9,1],[8,2,10,2,9,1],[11,1,2,-1,1,-1]],[[1,1,
2,1],[3,2]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,
7,1],[8,1,9,1],[8,2,10,2,9,1]],[[1,1,2,1],[3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,1,1,1,3,-1,4,1,2,-1,4,-1],[5,9]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,
1,1,1,4,2,3,-2],[5,3]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,4]],[[1,1,2,1],[
3,3,2,1],[4,2]]],[[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,
1],[8,1,1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[4,12],[7,-1,6,1,7,1],[
1,1,8,1]]],[[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[6,-1,4,1,6,
1]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,2],[5,-1,2,1,5,1],[4,1,6,1],[7,1,6,1],[7,
1,8,1],[8,4],[10,-1,9,3,10,1]]],[[[1,1,2,1],[1,1,2,-1],[2,-1],[5,1,1,1,2,-1,3,
-2,4,-1,5,1,4,2,3,1],[6,17]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,2,-1,3,1,1,
1,4,1]]],[[[1,1,2,1],[3,3],[4,-1,1,1,4,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,
1,5,2],[4,3],[7,-1,6,1,7,1]]],[[[1,1,2,1],[3,12]],[[1,1,2,1],[3,12],[1,1,2,1,
1,1,2,2],[5,-1,2,1,5,1],[4,1,6,1],[7,2,6,1],[7,1,8,2],[9,6],[10,1,4,1,10,
1]]],[[[1,1,2,1],[3,1,2,1],[4,2],[5,-1,3,12,5,1],[3,8],[6,1,7,1],[8,1,7,1],[8,
1,9,1],[8,2,10,2,9,1]],[[1,1,2,1]]],[[[1,1,2,1],[3,3,2,1],[3,12,4,17],[5,
4]],[[1,1,2,1],[3,3,2,1]]],[[[1,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1],[3,1,5,2],[
4,12],[7,-1,6,1,7,1]]],[[[1,1,2,1],[3,12]],[[1,1,2,1],[3,12],[1,1,2,1,1,1,2,
2],[5,-1,2,1,5,1],[4,1,6,1],[7,2,6,1],[7,1,8,2],[9,6]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,1,4,-1,2,-1,3,1,1,1,4,1],[5,8]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[3,2],[2,-1,6,1,4,-1,5,2,6,1,4,1,3,-1,2,-1]]],[[[1,1,2,1],[3,12]],[[1,1,
2,1,1,1,2,2],[3,-1,2,1,3,1]]],[[[1,1]],[[2,1]]]]);


AFLT( "J2","J2.2",[1,2,4,5,6,7,8,9,10,13,16,17,19,20,21,23,24,26,43,31,34,27,
28,44,41,48,49,50,51,52,53,54,55,56,57,58,59,61,60,63,69,73,71,77,79,80,82,81,
88,92,98,109,87,104,113,115,120,121,122,123,124,128,126,147,134,135,144,140,
152,153,155,157,156,158,160,168,170,178,173,188,187,190,196,197,198,203,206,
205,201,207,208,209,222,223,224,225,227,228,229,230,232,234,237,239,250,254,
255,264,258,267,265,270,279,281,284,285,286,291,297,301,300,302,303,304,305,
306,307,308,310,322,323,330,333,334,336,339,341,349,350,354,357,360,363,366,
370,372] );

AFLT( "J3","J3.2",[1,3,4,5,6,7,9,11,13,15,16,18,26,31,25,32,22,35,36,37,38,39,
40,41,42,43,44,50,48,52,53,55,54,61,65,80,76,75,59,83,84,88,90,92,95,96,97,98,
110,105,114,111,116,117,119,118,120,121,123,129,133,137,145,152,153,155,161,
162,163,169,170,171,166,180,183,185,188,189,190,191,191,192,193,196,200,202,
212,219,216,220,221,223,233,231,229,228,238,243,248,253,259,262,265,266,268,
270,271,273,272,274,283,288,289,291,295,297,301,303,305,312,313,315,319,323,
325,328,330,333,337,340,342,343,344,344,347,351,353] );

AFLT( "J2","G2(4)", [1,2,3,4,5,9,10,13,14,15,19,18,22,23,24,20,21,25,56,62,78,
38,41,48,79,81,82,83,85,84,86,87,88,96,95,97,98,103,104,105,107,109,108,111,
112,118,169,148,256,192,255,274,275,279,284,286,291,289,288,293,295,310,315,
322,297,305,320,318,324,326,327,331,330,476,577,453,1029,1016,1034,1047,1043,
1051,1053,1081,1097,1098,1072,1062,1122,1077,1109,1123,1133,1134,1135,1136,
1142,1141,1144,1145,1148,1165,2550,2552,2567,2566,2569,2599,2596,2611,2586,
2641,2645,2646,2652,2653,2655,3431,3532,3536,3537,3538,3541,3545,3551,3553,
3565,3632,3642,3651,3655,3935,3936,3943,3947,3977,4011,4105,4113,4123,4195,
4199,4226,4234,4268,4299]);
#############################################################################

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